TSTP Solution File: HWV050+2 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : HWV050+2 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n028.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 02:14:40 EDT 2022
% Result : Theorem 7.72s 5.29s
% Output : Proof 12.01s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : HWV050+2 : TPTP v8.1.0. Released v5.3.0.
% 0.07/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Aug 31 23:18:20 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.35 Usage: tptp [options] [-file:]file
% 0.13/0.35 -h, -? prints this message.
% 0.13/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.35 -m, -model generate model.
% 0.13/0.35 -p, -proof generate proof.
% 0.13/0.35 -c, -core generate unsat core of named formulas.
% 0.13/0.35 -st, -statistics display statistics.
% 0.13/0.35 -t:timeout set timeout (in second).
% 0.13/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.35 -<param>:<value> configuration parameter and value.
% 0.13/0.35 -o:<output-file> file to place output in.
% 7.72/5.29 % SZS status Theorem
% 7.72/5.29 % SZS output start Proof
% 7.72/5.29 tff(v162_type, type, (
% 7.72/5.29 v162: $i > $o)).
% 7.72/5.29 tff(constB127_type, type, (
% 7.72/5.29 constB127: $i)).
% 7.72/5.29 tff(tptp_fun_VarCurr_0_type, type, (
% 7.72/5.29 tptp_fun_VarCurr_0: $i)).
% 7.72/5.29 tff(constB199_type, type, (
% 7.72/5.29 constB199: $i)).
% 7.72/5.29 tff(v128_type, type, (
% 7.72/5.29 v128: $i > $o)).
% 7.72/5.29 tff(v169_type, type, (
% 7.72/5.29 v169: $i > $o)).
% 7.72/5.29 tff(v168_type, type, (
% 7.72/5.29 v168: $i > $o)).
% 7.72/5.29 tff(v82_type, type, (
% 7.72/5.29 v82: $i > $o)).
% 7.72/5.29 tff(reachableState_type, type, (
% 7.72/5.29 reachableState: $i > $o)).
% 7.72/5.29 tff(v160_type, type, (
% 7.72/5.29 v160: $i > $o)).
% 7.72/5.29 tff(constB198_type, type, (
% 7.72/5.29 constB198: $i)).
% 7.72/5.29 tff(nextState_type, type, (
% 7.72/5.29 nextState: ( $i * $i ) > $o)).
% 7.72/5.29 tff(v164_type, type, (
% 7.72/5.29 v164: $i > $o)).
% 7.72/5.29 tff(v163_type, type, (
% 7.72/5.29 v163: $i > $o)).
% 7.72/5.29 tff(v154_type, type, (
% 7.72/5.29 v154: $i > $o)).
% 7.72/5.29 tff(v130_type, type, (
% 7.72/5.29 v130: $i > $o)).
% 7.72/5.29 tff(v143_type, type, (
% 7.72/5.29 v143: $i > $o)).
% 7.72/5.29 tff(v141_type, type, (
% 7.72/5.29 v141: $i > $o)).
% 7.72/5.29 tff(v9_type, type, (
% 7.72/5.29 v9: $i > $o)).
% 7.72/5.29 tff(v39_type, type, (
% 7.72/5.29 v39: $i > $o)).
% 7.72/5.29 tff(v1_type, type, (
% 7.72/5.29 v1: $i > $o)).
% 7.72/5.29 tff(v139_type, type, (
% 7.72/5.29 v139: $i > $o)).
% 7.72/5.29 tff(constB197_type, type, (
% 7.72/5.29 constB197: $i)).
% 7.72/5.29 tff(v140_type, type, (
% 7.72/5.29 v140: $i > $o)).
% 7.72/5.29 tff(v26_type, type, (
% 7.72/5.29 v26: $i > $o)).
% 7.72/5.29 tff(v13_type, type, (
% 7.72/5.29 v13: $i > $o)).
% 7.72/5.29 tff(v6_type, type, (
% 7.72/5.29 v6: $i > $o)).
% 7.72/5.29 tff(v21_type, type, (
% 7.72/5.29 v21: $i > $o)).
% 7.72/5.29 tff(v20_type, type, (
% 7.72/5.29 v20: $i > $o)).
% 7.72/5.29 tff(v19_type, type, (
% 7.72/5.29 v19: $i > $o)).
% 7.72/5.29 tff(v22_type, type, (
% 7.72/5.29 v22: $i > $o)).
% 7.72/5.29 tff(v18_type, type, (
% 7.72/5.29 v18: $i > $o)).
% 7.72/5.29 tff(v4_type, type, (
% 7.72/5.29 v4: $i > $o)).
% 7.72/5.29 tff(v152_type, type, (
% 7.72/5.29 v152: $i > $o)).
% 7.72/5.29 tff(v150_type, type, (
% 7.72/5.29 v150: $i > $o)).
% 7.72/5.29 tff(constB196_type, type, (
% 7.72/5.29 constB196: $i)).
% 7.72/5.29 tff(v155_type, type, (
% 7.72/5.29 v155: $i > $o)).
% 7.72/5.29 tff(v153_type, type, (
% 7.72/5.29 v153: $i > $o)).
% 7.72/5.29 tff(v132_type, type, (
% 7.72/5.29 v132: $i > $o)).
% 7.72/5.29 tff(constB195_type, type, (
% 7.72/5.29 constB195: $i)).
% 7.72/5.29 tff(v137_type, type, (
% 7.72/5.29 v137: $i > $o)).
% 7.72/5.29 tff(v135_type, type, (
% 7.72/5.29 v135: $i > $o)).
% 7.72/5.29 tff(constB194_type, type, (
% 7.72/5.29 constB194: $i)).
% 7.72/5.29 tff(v142_type, type, (
% 7.72/5.29 v142: $i > $o)).
% 7.72/5.29 tff(v138_type, type, (
% 7.72/5.29 v138: $i > $o)).
% 7.72/5.29 tff(v144_type, type, (
% 7.72/5.29 v144: $i > $o)).
% 7.72/5.29 tff(v145_type, type, (
% 7.72/5.29 v145: $i > $o)).
% 7.72/5.29 tff(constB193_type, type, (
% 7.72/5.29 constB193: $i)).
% 7.72/5.29 tff(v84_type, type, (
% 7.72/5.29 v84: ( $i * $i ) > $o)).
% 7.72/5.29 tff(bitIndex0_type, type, (
% 7.72/5.29 bitIndex0: $i)).
% 7.72/5.29 tff(bitIndex1_type, type, (
% 7.72/5.29 bitIndex1: $i)).
% 7.72/5.29 tff(bitIndex2_type, type, (
% 7.72/5.29 bitIndex2: $i)).
% 7.72/5.29 tff(constB192_type, type, (
% 7.72/5.29 constB192: $i)).
% 7.72/5.29 tff(less_3_type, type, (
% 7.72/5.29 less_3: $i > $o)).
% 7.72/5.29 tff(v94_type, type, (
% 7.72/5.29 v94: $i > $o)).
% 7.72/5.29 tff(v95_type, type, (
% 7.72/5.29 v95: $i > $o)).
% 7.72/5.29 tff(v104_type, type, (
% 7.72/5.29 v104: $i > $o)).
% 7.72/5.29 tff(v96_type, type, (
% 7.72/5.29 v96: $i > $o)).
% 7.72/5.29 tff(v123_type, type, (
% 7.72/5.29 v123: ( $i * $i ) > $o)).
% 7.72/5.29 tff(constB191_type, type, (
% 7.72/5.29 constB191: $i)).
% 7.72/5.29 tff(v98_type, type, (
% 7.72/5.29 v98: $i > $o)).
% 7.72/5.29 tff(v102_type, type, (
% 7.72/5.29 v102: $i > $o)).
% 7.72/5.29 tff(v106_type, type, (
% 7.72/5.29 v106: $i > $o)).
% 7.72/5.29 tff(v105_type, type, (
% 7.72/5.29 v105: $i > $o)).
% 7.72/5.29 tff(v120_type, type, (
% 7.72/5.29 v120: $i > $o)).
% 7.72/5.29 tff(v107_type, type, (
% 7.72/5.29 v107: $i > $o)).
% 7.72/5.29 tff(v119_type, type, (
% 7.72/5.29 v119: $i > $o)).
% 7.72/5.29 tff(v108_type, type, (
% 7.72/5.29 v108: $i > $o)).
% 7.72/5.29 tff(v118_type, type, (
% 7.72/5.29 v118: $i > $o)).
% 7.72/5.29 tff(v109_type, type, (
% 7.72/5.29 v109: $i > $o)).
% 7.72/5.29 tff(constB190_type, type, (
% 7.72/5.29 constB190: $i)).
% 7.72/5.29 tff(constB189_type, type, (
% 7.72/5.29 constB189: $i)).
% 7.72/5.29 tff(v117_type, type, (
% 7.72/5.29 v117: $i > $o)).
% 7.72/5.29 tff(v110_type, type, (
% 7.72/5.29 v110: $i > $o)).
% 7.72/5.29 tff(constB188_type, type, (
% 7.72/5.29 constB188: $i)).
% 7.72/5.29 tff(constB187_type, type, (
% 7.72/5.29 constB187: $i)).
% 7.72/5.29 tff(v116_type, type, (
% 7.72/5.29 v116: $i > $o)).
% 7.72/5.29 tff(v111_type, type, (
% 7.72/5.29 v111: $i > $o)).
% 7.72/5.29 tff(constB186_type, type, (
% 7.72/5.29 constB186: $i)).
% 7.72/5.29 tff(constB185_type, type, (
% 7.72/5.29 constB185: $i)).
% 7.72/5.29 tff(v115_type, type, (
% 7.72/5.29 v115: $i > $o)).
% 7.72/5.29 tff(v112_type, type, (
% 7.72/5.29 v112: $i > $o)).
% 7.72/5.29 tff(constB184_type, type, (
% 7.72/5.29 constB184: $i)).
% 7.72/5.29 tff(constB183_type, type, (
% 7.72/5.29 constB183: $i)).
% 7.72/5.29 tff(v114_type, type, (
% 7.72/5.29 v114: $i > $o)).
% 7.72/5.29 tff(v113_type, type, (
% 7.72/5.29 v113: $i > $o)).
% 7.72/5.29 tff(constB182_type, type, (
% 7.72/5.29 constB182: $i)).
% 7.72/5.29 tff(constB181_type, type, (
% 7.72/5.29 constB181: $i)).
% 7.72/5.29 tff(constB180_type, type, (
% 7.72/5.29 constB180: $i)).
% 7.72/5.29 tff(constB179_type, type, (
% 7.72/5.29 constB179: $i)).
% 7.72/5.29 tff(constB178_type, type, (
% 7.72/5.29 constB178: $i)).
% 7.72/5.29 tff(constB177_type, type, (
% 7.72/5.29 constB177: $i)).
% 7.72/5.29 tff(constB176_type, type, (
% 7.72/5.29 constB176: $i)).
% 7.72/5.29 tff(constB175_type, type, (
% 7.72/5.29 constB175: $i)).
% 7.72/5.29 tff(constB174_type, type, (
% 7.72/5.29 constB174: $i)).
% 7.72/5.29 tff(constB173_type, type, (
% 7.72/5.29 constB173: $i)).
% 7.72/5.29 tff(constB172_type, type, (
% 7.72/5.29 constB172: $i)).
% 7.72/5.29 tff(constB171_type, type, (
% 7.72/5.29 constB171: $i)).
% 7.72/5.29 tff(constB170_type, type, (
% 7.72/5.29 constB170: $i)).
% 7.72/5.29 tff(constB169_type, type, (
% 7.72/5.29 constB169: $i)).
% 7.72/5.29 tff(constB168_type, type, (
% 7.72/5.29 constB168: $i)).
% 7.72/5.29 tff(constB167_type, type, (
% 7.72/5.29 constB167: $i)).
% 7.72/5.29 tff(constB166_type, type, (
% 7.72/5.29 constB166: $i)).
% 7.72/5.29 tff(constB165_type, type, (
% 7.72/5.29 constB165: $i)).
% 7.72/5.29 tff(constB164_type, type, (
% 7.72/5.29 constB164: $i)).
% 7.72/5.29 tff(constB163_type, type, (
% 7.72/5.29 constB163: $i)).
% 7.72/5.29 tff(constB162_type, type, (
% 7.72/5.29 constB162: $i)).
% 7.72/5.29 tff(constB161_type, type, (
% 7.72/5.29 constB161: $i)).
% 7.72/5.29 tff(constB160_type, type, (
% 7.72/5.29 constB160: $i)).
% 7.72/5.29 tff(constB159_type, type, (
% 7.72/5.29 constB159: $i)).
% 7.72/5.29 tff(constB158_type, type, (
% 7.72/5.29 constB158: $i)).
% 7.72/5.29 tff(constB157_type, type, (
% 7.72/5.29 constB157: $i)).
% 7.72/5.29 tff(constB156_type, type, (
% 7.72/5.29 constB156: $i)).
% 7.72/5.29 tff(constB155_type, type, (
% 7.72/5.29 constB155: $i)).
% 7.72/5.29 tff(constB154_type, type, (
% 7.72/5.29 constB154: $i)).
% 7.72/5.29 tff(constB153_type, type, (
% 7.72/5.29 constB153: $i)).
% 7.72/5.29 tff(constB152_type, type, (
% 7.72/5.29 constB152: $i)).
% 7.72/5.29 tff(constB151_type, type, (
% 7.72/5.29 constB151: $i)).
% 7.72/5.29 tff(constB150_type, type, (
% 7.72/5.29 constB150: $i)).
% 7.72/5.29 tff(constB149_type, type, (
% 7.72/5.29 constB149: $i)).
% 7.72/5.29 tff(constB148_type, type, (
% 7.72/5.29 constB148: $i)).
% 7.72/5.29 tff(constB147_type, type, (
% 7.72/5.29 constB147: $i)).
% 7.72/5.29 tff(constB146_type, type, (
% 7.72/5.29 constB146: $i)).
% 7.72/5.29 tff(constB145_type, type, (
% 7.72/5.29 constB145: $i)).
% 7.72/5.29 tff(constB144_type, type, (
% 7.72/5.29 constB144: $i)).
% 7.72/5.29 tff(constB143_type, type, (
% 7.72/5.29 constB143: $i)).
% 7.72/5.29 tff(constB142_type, type, (
% 7.72/5.29 constB142: $i)).
% 7.72/5.29 tff(constB141_type, type, (
% 7.72/5.29 constB141: $i)).
% 7.72/5.29 tff(constB140_type, type, (
% 7.72/5.29 constB140: $i)).
% 7.72/5.29 tff(constB139_type, type, (
% 7.72/5.29 constB139: $i)).
% 7.72/5.29 tff(constB138_type, type, (
% 7.72/5.29 constB138: $i)).
% 7.72/5.29 tff(constB137_type, type, (
% 7.72/5.29 constB137: $i)).
% 7.72/5.29 tff(constB136_type, type, (
% 7.72/5.29 constB136: $i)).
% 7.72/5.29 tff(constB135_type, type, (
% 7.72/5.29 constB135: $i)).
% 7.72/5.29 tff(constB134_type, type, (
% 7.72/5.29 constB134: $i)).
% 7.72/5.29 tff(constB133_type, type, (
% 7.72/5.29 constB133: $i)).
% 7.72/5.29 tff(constB132_type, type, (
% 7.72/5.29 constB132: $i)).
% 7.72/5.29 tff(constB131_type, type, (
% 7.72/5.29 constB131: $i)).
% 7.72/5.29 tff(constB130_type, type, (
% 7.72/5.29 constB130: $i)).
% 7.72/5.29 tff(constB129_type, type, (
% 7.72/5.29 constB129: $i)).
% 7.72/5.29 tff(constB128_type, type, (
% 7.72/5.29 constB128: $i)).
% 7.72/5.29 tff(constB126_type, type, (
% 7.72/5.29 constB126: $i)).
% 7.72/5.29 tff(constB125_type, type, (
% 7.72/5.29 constB125: $i)).
% 7.72/5.29 tff(constB124_type, type, (
% 7.72/5.29 constB124: $i)).
% 7.72/5.29 tff(constB123_type, type, (
% 7.72/5.29 constB123: $i)).
% 7.72/5.29 tff(constB122_type, type, (
% 7.72/5.29 constB122: $i)).
% 7.72/5.29 tff(constB121_type, type, (
% 7.72/5.29 constB121: $i)).
% 7.72/5.29 tff(constB120_type, type, (
% 7.72/5.29 constB120: $i)).
% 7.72/5.29 tff(constB119_type, type, (
% 7.72/5.29 constB119: $i)).
% 7.72/5.29 tff(constB118_type, type, (
% 7.72/5.29 constB118: $i)).
% 7.72/5.29 tff(constB117_type, type, (
% 7.72/5.29 constB117: $i)).
% 7.72/5.29 tff(constB116_type, type, (
% 7.72/5.29 constB116: $i)).
% 7.72/5.29 tff(constB115_type, type, (
% 7.72/5.29 constB115: $i)).
% 7.72/5.29 tff(constB114_type, type, (
% 7.72/5.29 constB114: $i)).
% 7.72/5.29 tff(constB113_type, type, (
% 7.72/5.29 constB113: $i)).
% 7.72/5.29 tff(constB112_type, type, (
% 7.72/5.29 constB112: $i)).
% 7.72/5.29 tff(constB111_type, type, (
% 7.72/5.29 constB111: $i)).
% 7.72/5.29 tff(constB110_type, type, (
% 7.72/5.29 constB110: $i)).
% 7.72/5.29 tff(constB109_type, type, (
% 7.72/5.29 constB109: $i)).
% 7.72/5.29 tff(constB108_type, type, (
% 7.72/5.29 constB108: $i)).
% 7.72/5.29 tff(constB107_type, type, (
% 7.72/5.29 constB107: $i)).
% 7.72/5.29 tff(constB106_type, type, (
% 7.72/5.29 constB106: $i)).
% 7.72/5.29 tff(constB105_type, type, (
% 7.72/5.29 constB105: $i)).
% 7.72/5.29 tff(constB104_type, type, (
% 7.72/5.29 constB104: $i)).
% 7.72/5.29 tff(constB103_type, type, (
% 7.72/5.29 constB103: $i)).
% 7.72/5.29 tff(constB102_type, type, (
% 7.72/5.29 constB102: $i)).
% 7.72/5.29 tff(constB101_type, type, (
% 7.72/5.29 constB101: $i)).
% 7.72/5.29 tff(constB100_type, type, (
% 7.72/5.29 constB100: $i)).
% 7.72/5.29 tff(constB99_type, type, (
% 7.72/5.29 constB99: $i)).
% 7.72/5.29 tff(constB98_type, type, (
% 7.72/5.29 constB98: $i)).
% 7.72/5.29 tff(constB97_type, type, (
% 7.72/5.29 constB97: $i)).
% 7.72/5.29 tff(constB96_type, type, (
% 7.72/5.29 constB96: $i)).
% 7.72/5.29 tff(constB95_type, type, (
% 7.72/5.29 constB95: $i)).
% 7.72/5.29 tff(constB94_type, type, (
% 7.72/5.29 constB94: $i)).
% 7.72/5.29 tff(constB93_type, type, (
% 7.72/5.29 constB93: $i)).
% 7.72/5.29 tff(constB92_type, type, (
% 7.72/5.29 constB92: $i)).
% 7.72/5.29 tff(constB91_type, type, (
% 7.72/5.29 constB91: $i)).
% 7.72/5.29 tff(constB90_type, type, (
% 7.72/5.29 constB90: $i)).
% 7.72/5.29 tff(constB89_type, type, (
% 7.72/5.29 constB89: $i)).
% 7.72/5.29 tff(constB88_type, type, (
% 7.72/5.29 constB88: $i)).
% 7.72/5.29 tff(constB87_type, type, (
% 7.72/5.29 constB87: $i)).
% 7.72/5.29 tff(constB86_type, type, (
% 7.72/5.29 constB86: $i)).
% 7.72/5.29 tff(constB85_type, type, (
% 7.72/5.29 constB85: $i)).
% 7.72/5.29 tff(constB84_type, type, (
% 7.72/5.29 constB84: $i)).
% 7.72/5.29 tff(constB83_type, type, (
% 7.72/5.29 constB83: $i)).
% 7.72/5.29 tff(constB82_type, type, (
% 7.72/5.29 constB82: $i)).
% 7.72/5.29 tff(constB81_type, type, (
% 7.72/5.29 constB81: $i)).
% 7.72/5.29 tff(constB80_type, type, (
% 7.72/5.29 constB80: $i)).
% 7.72/5.29 tff(constB79_type, type, (
% 7.72/5.29 constB79: $i)).
% 7.72/5.29 tff(constB78_type, type, (
% 7.72/5.29 constB78: $i)).
% 7.72/5.29 tff(constB77_type, type, (
% 7.72/5.29 constB77: $i)).
% 7.72/5.29 tff(constB76_type, type, (
% 7.72/5.29 constB76: $i)).
% 7.72/5.29 tff(constB75_type, type, (
% 7.72/5.29 constB75: $i)).
% 7.72/5.29 tff(constB74_type, type, (
% 7.72/5.29 constB74: $i)).
% 7.72/5.29 tff(constB73_type, type, (
% 7.72/5.29 constB73: $i)).
% 7.72/5.29 tff(constB72_type, type, (
% 7.72/5.29 constB72: $i)).
% 7.72/5.29 tff(constB71_type, type, (
% 7.72/5.29 constB71: $i)).
% 7.72/5.29 tff(constB70_type, type, (
% 7.72/5.29 constB70: $i)).
% 7.72/5.29 tff(constB69_type, type, (
% 7.72/5.29 constB69: $i)).
% 7.72/5.29 tff(constB68_type, type, (
% 7.72/5.29 constB68: $i)).
% 7.72/5.29 tff(constB67_type, type, (
% 7.72/5.29 constB67: $i)).
% 7.72/5.29 tff(constB66_type, type, (
% 7.72/5.29 constB66: $i)).
% 7.72/5.29 tff(constB65_type, type, (
% 7.72/5.29 constB65: $i)).
% 7.72/5.29 tff(constB64_type, type, (
% 7.72/5.29 constB64: $i)).
% 7.72/5.29 tff(constB63_type, type, (
% 7.72/5.29 constB63: $i)).
% 7.72/5.29 tff(constB62_type, type, (
% 7.72/5.29 constB62: $i)).
% 7.72/5.29 tff(constB61_type, type, (
% 7.72/5.29 constB61: $i)).
% 7.72/5.29 tff(constB60_type, type, (
% 7.72/5.29 constB60: $i)).
% 7.72/5.29 tff(constB59_type, type, (
% 7.72/5.29 constB59: $i)).
% 7.72/5.29 tff(constB58_type, type, (
% 7.72/5.29 constB58: $i)).
% 7.72/5.29 tff(constB57_type, type, (
% 7.72/5.29 constB57: $i)).
% 7.72/5.29 tff(constB56_type, type, (
% 7.72/5.29 constB56: $i)).
% 7.72/5.29 tff(constB55_type, type, (
% 7.72/5.29 constB55: $i)).
% 7.72/5.29 tff(constB54_type, type, (
% 7.72/5.29 constB54: $i)).
% 7.72/5.29 tff(constB53_type, type, (
% 7.72/5.29 constB53: $i)).
% 7.72/5.29 tff(constB52_type, type, (
% 7.72/5.29 constB52: $i)).
% 7.72/5.29 tff(constB51_type, type, (
% 7.72/5.29 constB51: $i)).
% 7.72/5.29 tff(constB50_type, type, (
% 7.72/5.29 constB50: $i)).
% 7.72/5.29 tff(constB49_type, type, (
% 7.72/5.29 constB49: $i)).
% 7.72/5.29 tff(constB48_type, type, (
% 7.72/5.29 constB48: $i)).
% 7.72/5.29 tff(constB47_type, type, (
% 7.72/5.29 constB47: $i)).
% 7.72/5.29 tff(constB46_type, type, (
% 7.72/5.29 constB46: $i)).
% 7.72/5.29 tff(constB45_type, type, (
% 7.72/5.29 constB45: $i)).
% 7.72/5.29 tff(constB44_type, type, (
% 7.72/5.29 constB44: $i)).
% 7.72/5.29 tff(constB43_type, type, (
% 7.72/5.29 constB43: $i)).
% 7.72/5.29 tff(constB42_type, type, (
% 7.72/5.29 constB42: $i)).
% 7.72/5.29 tff(constB41_type, type, (
% 7.72/5.29 constB41: $i)).
% 7.72/5.29 tff(constB40_type, type, (
% 7.72/5.29 constB40: $i)).
% 7.72/5.29 tff(constB39_type, type, (
% 7.72/5.29 constB39: $i)).
% 7.72/5.29 tff(constB38_type, type, (
% 7.72/5.29 constB38: $i)).
% 7.72/5.29 tff(constB37_type, type, (
% 7.72/5.29 constB37: $i)).
% 7.72/5.29 tff(constB36_type, type, (
% 7.72/5.29 constB36: $i)).
% 7.72/5.29 tff(constB35_type, type, (
% 7.72/5.29 constB35: $i)).
% 7.72/5.29 tff(constB34_type, type, (
% 7.72/5.29 constB34: $i)).
% 7.72/5.29 tff(constB33_type, type, (
% 7.72/5.29 constB33: $i)).
% 7.72/5.29 tff(constB32_type, type, (
% 7.72/5.29 constB32: $i)).
% 7.72/5.29 tff(constB31_type, type, (
% 7.72/5.29 constB31: $i)).
% 7.72/5.29 tff(constB30_type, type, (
% 7.72/5.29 constB30: $i)).
% 7.72/5.29 tff(constB29_type, type, (
% 7.72/5.29 constB29: $i)).
% 7.72/5.29 tff(constB28_type, type, (
% 7.72/5.29 constB28: $i)).
% 7.72/5.29 tff(constB27_type, type, (
% 7.72/5.29 constB27: $i)).
% 7.72/5.29 tff(constB26_type, type, (
% 7.72/5.29 constB26: $i)).
% 7.72/5.29 tff(constB25_type, type, (
% 7.72/5.29 constB25: $i)).
% 7.72/5.29 tff(constB24_type, type, (
% 7.72/5.29 constB24: $i)).
% 7.72/5.29 tff(constB23_type, type, (
% 7.72/5.29 constB23: $i)).
% 7.72/5.29 tff(constB22_type, type, (
% 7.72/5.29 constB22: $i)).
% 7.72/5.29 tff(constB21_type, type, (
% 7.72/5.29 constB21: $i)).
% 7.72/5.29 tff(constB20_type, type, (
% 7.72/5.29 constB20: $i)).
% 7.72/5.29 tff(constB19_type, type, (
% 7.72/5.29 constB19: $i)).
% 7.72/5.29 tff(constB18_type, type, (
% 7.72/5.29 constB18: $i)).
% 7.72/5.29 tff(constB17_type, type, (
% 7.72/5.29 constB17: $i)).
% 7.72/5.29 tff(constB16_type, type, (
% 7.72/5.29 constB16: $i)).
% 7.72/5.29 tff(constB15_type, type, (
% 7.72/5.29 constB15: $i)).
% 7.72/5.29 tff(constB14_type, type, (
% 7.72/5.29 constB14: $i)).
% 7.72/5.29 tff(constB13_type, type, (
% 7.72/5.29 constB13: $i)).
% 7.72/5.29 tff(constB12_type, type, (
% 7.72/5.29 constB12: $i)).
% 7.72/5.29 tff(constB11_type, type, (
% 7.72/5.29 constB11: $i)).
% 7.72/5.29 tff(constB10_type, type, (
% 7.72/5.29 constB10: $i)).
% 7.72/5.29 tff(constB9_type, type, (
% 7.72/5.29 constB9: $i)).
% 7.72/5.29 tff(constB8_type, type, (
% 7.72/5.29 constB8: $i)).
% 7.72/5.29 tff(constB7_type, type, (
% 7.72/5.29 constB7: $i)).
% 7.72/5.29 tff(constB6_type, type, (
% 7.72/5.29 constB6: $i)).
% 7.72/5.29 tff(constB5_type, type, (
% 7.72/5.29 constB5: $i)).
% 7.72/5.29 tff(constB4_type, type, (
% 7.72/5.29 constB4: $i)).
% 7.72/5.29 tff(constB3_type, type, (
% 7.72/5.29 constB3: $i)).
% 7.72/5.29 tff(constB2_type, type, (
% 7.72/5.29 constB2: $i)).
% 7.72/5.29 tff(constB1_type, type, (
% 7.72/5.29 constB1: $i)).
% 7.72/5.29 tff(constB0_type, type, (
% 7.72/5.29 constB0: $i)).
% 7.72/5.29 tff(v121_type, type, (
% 7.72/5.29 v121: ( $i * $i ) > $o)).
% 7.72/5.29 tff(v124_type, type, (
% 7.72/5.29 v124: ( $i * $i ) > $o)).
% 7.72/5.29 tff(b001_type, type, (
% 7.72/5.29 b001: $i > $o)).
% 7.72/5.29 tff(b010_type, type, (
% 7.72/5.29 b010: $i > $o)).
% 7.72/5.29 tff(b011_type, type, (
% 7.72/5.29 b011: $i > $o)).
% 7.72/5.29 tff(b100_type, type, (
% 7.72/5.29 b100: $i > $o)).
% 7.72/5.29 tff(b101_type, type, (
% 7.72/5.29 b101: $i > $o)).
% 7.72/5.29 tff(b110_type, type, (
% 7.72/5.29 b110: $i > $o)).
% 7.72/5.29 tff(v170_type, type, (
% 7.72/5.29 v170: $i > $o)).
% 7.72/5.29 tff(v171_type, type, (
% 7.72/5.29 v171: $i > $o)).
% 7.72/5.29 tff(v172_type, type, (
% 7.72/5.29 v172: $i > $o)).
% 7.72/5.29 tff(constB200_type, type, (
% 7.72/5.29 constB200: $i)).
% 7.72/5.29 tff(1,assumption,(constB199 = VarCurr!0), introduced(assumption)).
% 7.72/5.29 tff(2,plain,
% 7.72/5.29 (v162(constB199) <=> v162(VarCurr!0)),
% 7.72/5.29 inference(monotonicity,[status(thm)],[1])).
% 7.72/5.29 tff(3,plain,
% 7.72/5.29 (v162(VarCurr!0) <=> v162(constB199)),
% 7.72/5.29 inference(symmetry,[status(thm)],[2])).
% 7.72/5.29 tff(4,plain,
% 7.72/5.29 (^[VarNext: $i] : refl((v128(VarNext) <=> v162(VarNext)) <=> (v128(VarNext) <=> v162(VarNext)))),
% 7.72/5.29 inference(bind,[status(th)],[])).
% 7.72/5.29 tff(5,plain,
% 7.72/5.29 (![VarNext: $i] : (v128(VarNext) <=> v162(VarNext)) <=> ![VarNext: $i] : (v128(VarNext) <=> v162(VarNext))),
% 7.72/5.29 inference(quant_intro,[status(thm)],[4])).
% 7.72/5.29 tff(6,plain,
% 7.72/5.29 (![VarNext: $i] : (v128(VarNext) <=> v162(VarNext)) <=> ![VarNext: $i] : (v128(VarNext) <=> v162(VarNext))),
% 7.72/5.29 inference(rewrite,[status(thm)],[])).
% 7.72/5.29 tff(7,plain,
% 7.72/5.29 (^[VarNext: $i] : rewrite(($true => (v128(VarNext) <=> v162(VarNext))) <=> (v128(VarNext) <=> v162(VarNext)))),
% 7.72/5.29 inference(bind,[status(th)],[])).
% 7.72/5.29 tff(8,plain,
% 7.72/5.29 (![VarNext: $i] : ($true => (v128(VarNext) <=> v162(VarNext))) <=> ![VarNext: $i] : (v128(VarNext) <=> v162(VarNext))),
% 7.72/5.29 inference(quant_intro,[status(thm)],[7])).
% 7.72/5.29 tff(9,axiom,(![VarNext: $i] : ($true => (v128(VarNext) <=> v162(VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch_6')).
% 7.72/5.29 tff(10,plain,
% 7.72/5.29 (![VarNext: $i] : (v128(VarNext) <=> v162(VarNext))),
% 7.72/5.29 inference(modus_ponens,[status(thm)],[9, 8])).
% 7.72/5.29 tff(11,plain,
% 7.72/5.29 (![VarNext: $i] : (v128(VarNext) <=> v162(VarNext))),
% 7.72/5.29 inference(modus_ponens,[status(thm)],[10, 6])).
% 7.72/5.29 tff(12,plain,(
% 7.72/5.29 ![VarNext: $i] : (v128(VarNext) <=> v162(VarNext))),
% 7.72/5.29 inference(skolemize,[status(sab)],[11])).
% 7.72/5.29 tff(13,plain,
% 7.72/5.29 (![VarNext: $i] : (v128(VarNext) <=> v162(VarNext))),
% 7.72/5.29 inference(modus_ponens,[status(thm)],[12, 5])).
% 7.72/5.29 tff(14,plain,
% 7.72/5.29 ((~![VarNext: $i] : (v128(VarNext) <=> v162(VarNext))) | (v128(VarCurr!0) <=> v162(VarCurr!0))),
% 7.72/5.29 inference(quant_inst,[status(thm)],[])).
% 7.72/5.29 tff(15,plain,
% 7.72/5.29 (v128(VarCurr!0) <=> v162(VarCurr!0)),
% 7.72/5.29 inference(unit_resolution,[status(thm)],[14, 13])).
% 7.72/5.29 tff(16,plain,
% 7.72/5.29 (^[VarCurr: $i] : refl((v168(VarCurr) <=> (~((~v169(VarCurr)) | (~v128(VarCurr))))) <=> (v168(VarCurr) <=> (~((~v169(VarCurr)) | (~v128(VarCurr))))))),
% 7.72/5.29 inference(bind,[status(th)],[])).
% 7.72/5.29 tff(17,plain,
% 7.72/5.29 (![VarCurr: $i] : (v168(VarCurr) <=> (~((~v169(VarCurr)) | (~v128(VarCurr))))) <=> ![VarCurr: $i] : (v168(VarCurr) <=> (~((~v169(VarCurr)) | (~v128(VarCurr)))))),
% 7.72/5.29 inference(quant_intro,[status(thm)],[16])).
% 7.72/5.29 tff(18,plain,
% 7.72/5.29 (^[VarCurr: $i] : rewrite((v168(VarCurr) <=> (v169(VarCurr) & v128(VarCurr))) <=> (v168(VarCurr) <=> (~((~v169(VarCurr)) | (~v128(VarCurr))))))),
% 7.72/5.29 inference(bind,[status(th)],[])).
% 7.72/5.29 tff(19,plain,
% 7.72/5.29 (![VarCurr: $i] : (v168(VarCurr) <=> (v169(VarCurr) & v128(VarCurr))) <=> ![VarCurr: $i] : (v168(VarCurr) <=> (~((~v169(VarCurr)) | (~v128(VarCurr)))))),
% 7.72/5.29 inference(quant_intro,[status(thm)],[18])).
% 7.72/5.29 tff(20,plain,
% 7.72/5.29 (![VarCurr: $i] : (v168(VarCurr) <=> (v169(VarCurr) & v128(VarCurr))) <=> ![VarCurr: $i] : (v168(VarCurr) <=> (v169(VarCurr) & v128(VarCurr)))),
% 7.72/5.29 inference(rewrite,[status(thm)],[])).
% 7.72/5.29 tff(21,axiom,(![VarCurr: $i] : (v168(VarCurr) <=> (v169(VarCurr) & v128(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_43')).
% 7.72/5.29 tff(22,plain,
% 7.72/5.29 (![VarCurr: $i] : (v168(VarCurr) <=> (v169(VarCurr) & v128(VarCurr)))),
% 7.72/5.29 inference(modus_ponens,[status(thm)],[21, 20])).
% 7.72/5.29 tff(23,plain,(
% 7.72/5.29 ![VarCurr: $i] : (v168(VarCurr) <=> (v169(VarCurr) & v128(VarCurr)))),
% 7.72/5.29 inference(skolemize,[status(sab)],[22])).
% 7.72/5.29 tff(24,plain,
% 7.72/5.29 (![VarCurr: $i] : (v168(VarCurr) <=> (~((~v169(VarCurr)) | (~v128(VarCurr)))))),
% 7.72/5.29 inference(modus_ponens,[status(thm)],[23, 19])).
% 7.72/5.29 tff(25,plain,
% 7.72/5.29 (![VarCurr: $i] : (v168(VarCurr) <=> (~((~v169(VarCurr)) | (~v128(VarCurr)))))),
% 7.72/5.29 inference(modus_ponens,[status(thm)],[24, 17])).
% 7.72/5.29 tff(26,plain,
% 7.72/5.29 ((~![VarCurr: $i] : (v168(VarCurr) <=> (~((~v169(VarCurr)) | (~v128(VarCurr)))))) | (v168(VarCurr!0) <=> (~((~v169(VarCurr!0)) | (~v128(VarCurr!0)))))),
% 7.72/5.29 inference(quant_inst,[status(thm)],[])).
% 7.72/5.29 tff(27,plain,
% 7.72/5.29 (v168(VarCurr!0) <=> (~((~v169(VarCurr!0)) | (~v128(VarCurr!0))))),
% 7.72/5.29 inference(unit_resolution,[status(thm)],[26, 25])).
% 7.72/5.29 tff(28,plain,
% 7.72/5.29 (^[VarCurr: $i] : refl(((~v82(VarCurr)) <=> v168(VarCurr)) <=> ((~v82(VarCurr)) <=> v168(VarCurr)))),
% 7.72/5.29 inference(bind,[status(th)],[])).
% 7.72/5.29 tff(29,plain,
% 7.72/5.29 (![VarCurr: $i] : ((~v82(VarCurr)) <=> v168(VarCurr)) <=> ![VarCurr: $i] : ((~v82(VarCurr)) <=> v168(VarCurr))),
% 7.72/5.29 inference(quant_intro,[status(thm)],[28])).
% 7.72/5.29 tff(30,plain,
% 7.72/5.29 (![VarCurr: $i] : ((~v82(VarCurr)) <=> v168(VarCurr)) <=> ![VarCurr: $i] : ((~v82(VarCurr)) <=> v168(VarCurr))),
% 7.72/5.29 inference(rewrite,[status(thm)],[])).
% 7.72/5.29 tff(31,axiom,(![VarCurr: $i] : ((~v82(VarCurr)) <=> v168(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeUnaryOperator_17')).
% 7.72/5.29 tff(32,plain,
% 7.72/5.29 (![VarCurr: $i] : ((~v82(VarCurr)) <=> v168(VarCurr))),
% 7.72/5.29 inference(modus_ponens,[status(thm)],[31, 30])).
% 7.72/5.29 tff(33,plain,(
% 7.72/5.29 ![VarCurr: $i] : ((~v82(VarCurr)) <=> v168(VarCurr))),
% 7.72/5.29 inference(skolemize,[status(sab)],[32])).
% 7.72/5.29 tff(34,plain,
% 7.72/5.29 (![VarCurr: $i] : ((~v82(VarCurr)) <=> v168(VarCurr))),
% 7.72/5.29 inference(modus_ponens,[status(thm)],[33, 29])).
% 7.72/5.29 tff(35,plain,
% 7.72/5.29 ((~![VarCurr: $i] : ((~v82(VarCurr)) <=> v168(VarCurr))) | ((~v82(VarCurr!0)) <=> v168(VarCurr!0))),
% 7.72/5.29 inference(quant_inst,[status(thm)],[])).
% 7.72/5.29 tff(36,plain,
% 7.72/5.29 ((~v82(VarCurr!0)) <=> v168(VarCurr!0)),
% 7.72/5.29 inference(unit_resolution,[status(thm)],[35, 34])).
% 7.72/5.29 tff(37,plain,
% 7.72/5.29 ((~![VarCurr: $i] : (v82(VarCurr) | (~reachableState(VarCurr)))) <=> (~![VarCurr: $i] : (v82(VarCurr) | (~reachableState(VarCurr))))),
% 7.72/5.29 inference(rewrite,[status(thm)],[])).
% 7.72/5.29 tff(38,plain,
% 7.72/5.29 ((~![VarCurr: $i] : (reachableState(VarCurr) => v82(VarCurr))) <=> (~![VarCurr: $i] : (v82(VarCurr) | (~reachableState(VarCurr))))),
% 7.72/5.29 inference(rewrite,[status(thm)],[])).
% 7.72/5.29 tff(39,axiom,(~![VarCurr: $i] : (reachableState(VarCurr) => v82(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssertion')).
% 7.72/5.29 tff(40,plain,
% 7.72/5.29 (~![VarCurr: $i] : (v82(VarCurr) | (~reachableState(VarCurr)))),
% 7.72/5.29 inference(modus_ponens,[status(thm)],[39, 38])).
% 7.72/5.29 tff(41,plain,
% 7.72/5.29 (~![VarCurr: $i] : (v82(VarCurr) | (~reachableState(VarCurr)))),
% 7.72/5.29 inference(modus_ponens,[status(thm)],[40, 37])).
% 7.72/5.29 tff(42,plain,
% 7.72/5.29 (~![VarCurr: $i] : (v82(VarCurr) | (~reachableState(VarCurr)))),
% 7.72/5.29 inference(modus_ponens,[status(thm)],[41, 37])).
% 7.72/5.29 tff(43,plain,
% 7.72/5.29 (~![VarCurr: $i] : (v82(VarCurr) | (~reachableState(VarCurr)))),
% 7.72/5.29 inference(modus_ponens,[status(thm)],[42, 37])).
% 7.72/5.29 tff(44,plain,
% 7.72/5.29 (~![VarCurr: $i] : (v82(VarCurr) | (~reachableState(VarCurr)))),
% 7.72/5.29 inference(modus_ponens,[status(thm)],[43, 37])).
% 7.72/5.29 tff(45,plain,
% 7.72/5.29 (~![VarCurr: $i] : (v82(VarCurr) | (~reachableState(VarCurr)))),
% 7.72/5.29 inference(modus_ponens,[status(thm)],[44, 37])).
% 7.72/5.29 tff(46,plain,
% 7.72/5.29 (~![VarCurr: $i] : (v82(VarCurr) | (~reachableState(VarCurr)))),
% 7.72/5.29 inference(modus_ponens,[status(thm)],[45, 37])).
% 7.72/5.29 tff(47,plain,(
% 7.72/5.29 ~(v82(VarCurr!0) | (~reachableState(VarCurr!0)))),
% 7.72/5.29 inference(skolemize,[status(sab)],[46])).
% 7.72/5.29 tff(48,plain,
% 7.72/5.29 (~v82(VarCurr!0)),
% 7.72/5.29 inference(or_elim,[status(thm)],[47])).
% 7.72/5.29 tff(49,plain,
% 7.72/5.29 ((~((~v82(VarCurr!0)) <=> v168(VarCurr!0))) | v82(VarCurr!0) | v168(VarCurr!0)),
% 7.72/5.29 inference(tautology,[status(thm)],[])).
% 7.72/5.29 tff(50,plain,
% 7.72/5.29 ((~((~v82(VarCurr!0)) <=> v168(VarCurr!0))) | v168(VarCurr!0)),
% 7.72/5.29 inference(unit_resolution,[status(thm)],[49, 48])).
% 7.72/5.29 tff(51,plain,
% 7.72/5.29 (v168(VarCurr!0)),
% 7.72/5.29 inference(unit_resolution,[status(thm)],[50, 36])).
% 7.72/5.29 tff(52,plain,
% 7.72/5.29 ((~(v168(VarCurr!0) <=> (~((~v169(VarCurr!0)) | (~v128(VarCurr!0)))))) | (~v168(VarCurr!0)) | (~((~v169(VarCurr!0)) | (~v128(VarCurr!0))))),
% 7.72/5.29 inference(tautology,[status(thm)],[])).
% 7.72/5.29 tff(53,plain,
% 7.72/5.29 ((~(v168(VarCurr!0) <=> (~((~v169(VarCurr!0)) | (~v128(VarCurr!0)))))) | (~((~v169(VarCurr!0)) | (~v128(VarCurr!0))))),
% 7.72/5.29 inference(unit_resolution,[status(thm)],[52, 51])).
% 7.72/5.29 tff(54,plain,
% 7.72/5.29 (~((~v169(VarCurr!0)) | (~v128(VarCurr!0)))),
% 7.72/5.29 inference(unit_resolution,[status(thm)],[53, 27])).
% 7.72/5.29 tff(55,plain,
% 7.72/5.29 (((~v169(VarCurr!0)) | (~v128(VarCurr!0))) | v128(VarCurr!0)),
% 7.72/5.29 inference(tautology,[status(thm)],[])).
% 7.72/5.29 tff(56,plain,
% 7.72/5.29 (v128(VarCurr!0)),
% 7.72/5.29 inference(unit_resolution,[status(thm)],[55, 54])).
% 7.72/5.29 tff(57,plain,
% 7.72/5.29 ((~(v128(VarCurr!0) <=> v162(VarCurr!0))) | (~v128(VarCurr!0)) | v162(VarCurr!0)),
% 7.72/5.29 inference(tautology,[status(thm)],[])).
% 7.72/5.29 tff(58,plain,
% 7.72/5.29 ((~(v128(VarCurr!0) <=> v162(VarCurr!0))) | v162(VarCurr!0)),
% 7.72/5.29 inference(unit_resolution,[status(thm)],[57, 56])).
% 7.72/5.29 tff(59,plain,
% 7.72/5.29 (v162(VarCurr!0)),
% 7.72/5.29 inference(unit_resolution,[status(thm)],[58, 15])).
% 7.72/5.29 tff(60,plain,
% 7.72/5.29 (v162(constB199)),
% 7.72/5.29 inference(modus_ponens,[status(thm)],[59, 3])).
% 7.72/5.29 tff(61,plain,
% 7.72/5.29 (^[VarCurr: $i, VarNext: $i] : refl(((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr))))),
% 7.72/5.29 inference(bind,[status(th)],[])).
% 7.72/5.29 tff(62,plain,
% 7.72/5.29 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))),
% 7.72/5.29 inference(quant_intro,[status(thm)],[61])).
% 7.72/5.29 tff(63,plain,
% 7.72/5.29 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))),
% 7.72/5.29 inference(rewrite,[status(thm)],[])).
% 7.72/5.29 tff(64,plain,
% 7.72/5.29 (^[VarCurr: $i, VarNext: $i] : rewrite((nextState(VarCurr, VarNext) => (v162(VarNext) <=> v160(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr))))),
% 7.72/5.29 inference(bind,[status(th)],[])).
% 7.72/5.29 tff(65,plain,
% 7.72/5.29 (![VarCurr: $i, VarNext: $i] : (nextState(VarCurr, VarNext) => (v162(VarNext) <=> v160(VarCurr))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))),
% 7.72/5.29 inference(quant_intro,[status(thm)],[64])).
% 7.72/5.29 tff(66,axiom,(![VarCurr: $i, VarNext: $i] : (nextState(VarCurr, VarNext) => (v162(VarNext) <=> v160(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_10')).
% 7.72/5.29 tff(67,plain,
% 7.72/5.29 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))),
% 7.72/5.29 inference(modus_ponens,[status(thm)],[66, 65])).
% 7.72/5.29 tff(68,plain,
% 7.72/5.29 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))),
% 7.72/5.29 inference(modus_ponens,[status(thm)],[67, 63])).
% 7.72/5.29 tff(69,plain,(
% 7.72/5.29 ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))),
% 7.72/5.29 inference(skolemize,[status(sab)],[68])).
% 7.72/5.29 tff(70,plain,
% 7.72/5.29 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))),
% 7.72/5.29 inference(modus_ponens,[status(thm)],[69, 62])).
% 7.72/5.29 tff(71,plain,
% 7.72/5.29 (nextState(constB198, constB199) <=> nextState(constB198, constB199)),
% 7.72/5.29 inference(rewrite,[status(thm)],[])).
% 7.72/5.29 tff(72,axiom,(nextState(constB198, constB199)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_198')).
% 7.72/5.29 tff(73,plain,
% 7.72/5.29 (nextState(constB198, constB199)),
% 7.72/5.29 inference(modus_ponens,[status(thm)],[72, 71])).
% 7.72/5.29 tff(74,plain,
% 7.72/5.29 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB198, constB199)) | (v162(constB199) <=> v160(constB198)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB198, constB199)) | (v162(constB199) <=> v160(constB198)))),
% 7.72/5.29 inference(rewrite,[status(thm)],[])).
% 7.72/5.29 tff(75,plain,
% 7.72/5.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB198, constB199)) | (v162(constB199) <=> v160(constB198)))),
% 7.72/5.29 inference(quant_inst,[status(thm)],[])).
% 7.72/5.29 tff(76,plain,
% 7.72/5.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB198, constB199)) | (v162(constB199) <=> v160(constB198))),
% 7.72/5.29 inference(modus_ponens,[status(thm)],[75, 74])).
% 7.72/5.29 tff(77,plain,
% 7.72/5.29 (v162(constB199) <=> v160(constB198)),
% 7.72/5.29 inference(unit_resolution,[status(thm)],[76, 73, 70])).
% 7.72/5.29 tff(78,plain,
% 7.72/5.29 (^[VarCurr: $i] : refl((v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr))) <=> (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr))))),
% 7.72/5.29 inference(bind,[status(th)],[])).
% 7.72/5.29 tff(79,plain,
% 7.72/5.29 (![VarCurr: $i] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr))) <=> ![VarCurr: $i] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))),
% 7.72/5.29 inference(quant_intro,[status(thm)],[78])).
% 7.72/5.29 tff(80,plain,
% 7.72/5.29 (![VarCurr: $i] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr))) <=> ![VarCurr: $i] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))),
% 7.72/5.29 inference(rewrite,[status(thm)],[])).
% 7.72/5.29 tff(81,axiom,(![VarCurr: $i] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_40')).
% 7.72/5.29 tff(82,plain,
% 7.72/5.29 (![VarCurr: $i] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))),
% 7.72/5.29 inference(modus_ponens,[status(thm)],[81, 80])).
% 7.72/5.29 tff(83,plain,(
% 7.72/5.29 ![VarCurr: $i] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))),
% 7.72/5.29 inference(skolemize,[status(sab)],[82])).
% 7.72/5.29 tff(84,plain,
% 7.72/5.29 (![VarCurr: $i] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))),
% 7.72/5.29 inference(modus_ponens,[status(thm)],[83, 79])).
% 7.72/5.29 tff(85,plain,
% 7.72/5.29 ((~![VarCurr: $i] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB198) <=> (v163(constB198) | v164(constB198)))),
% 7.72/5.29 inference(quant_inst,[status(thm)],[])).
% 7.72/5.29 tff(86,plain,
% 7.72/5.29 (v160(constB198) <=> (v163(constB198) | v164(constB198))),
% 7.72/5.29 inference(unit_resolution,[status(thm)],[85, 84])).
% 7.72/5.29 tff(87,plain,
% 7.72/5.29 (^[VarCurr: $i] : refl((v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr))))) <=> (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr))))))),
% 7.72/5.29 inference(bind,[status(th)],[])).
% 7.72/5.29 tff(88,plain,
% 7.72/5.29 (![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr))))) <=> ![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))),
% 7.72/5.29 inference(quant_intro,[status(thm)],[87])).
% 7.72/5.29 tff(89,plain,
% 7.72/5.29 (^[VarCurr: $i] : rewrite((v164(VarCurr) <=> (v154(VarCurr) & v130(VarCurr))) <=> (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr))))))),
% 7.72/5.29 inference(bind,[status(th)],[])).
% 7.72/5.29 tff(90,plain,
% 7.72/5.29 (![VarCurr: $i] : (v164(VarCurr) <=> (v154(VarCurr) & v130(VarCurr))) <=> ![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))),
% 7.72/5.29 inference(quant_intro,[status(thm)],[89])).
% 7.72/5.29 tff(91,plain,
% 7.72/5.29 (![VarCurr: $i] : (v164(VarCurr) <=> (v154(VarCurr) & v130(VarCurr))) <=> ![VarCurr: $i] : (v164(VarCurr) <=> (v154(VarCurr) & v130(VarCurr)))),
% 7.72/5.29 inference(rewrite,[status(thm)],[])).
% 7.72/5.29 tff(92,axiom,(![VarCurr: $i] : (v164(VarCurr) <=> (v154(VarCurr) & v130(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_39')).
% 7.72/5.29 tff(93,plain,
% 7.72/5.29 (![VarCurr: $i] : (v164(VarCurr) <=> (v154(VarCurr) & v130(VarCurr)))),
% 7.72/5.29 inference(modus_ponens,[status(thm)],[92, 91])).
% 7.72/5.29 tff(94,plain,(
% 7.72/5.29 ![VarCurr: $i] : (v164(VarCurr) <=> (v154(VarCurr) & v130(VarCurr)))),
% 7.72/5.29 inference(skolemize,[status(sab)],[93])).
% 7.72/5.29 tff(95,plain,
% 7.72/5.29 (![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))),
% 7.72/5.29 inference(modus_ponens,[status(thm)],[94, 90])).
% 7.72/5.29 tff(96,plain,
% 7.72/5.29 (![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))),
% 7.72/5.30 inference(modus_ponens,[status(thm)],[95, 88])).
% 7.72/5.30 tff(97,plain,
% 7.72/5.30 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB198) <=> (~((~v130(constB198)) | (~v154(constB198)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB198) <=> (~((~v130(constB198)) | (~v154(constB198))))))),
% 7.72/5.30 inference(rewrite,[status(thm)],[])).
% 7.72/5.30 tff(98,plain,
% 7.72/5.30 ((v164(constB198) <=> (~((~v154(constB198)) | (~v130(constB198))))) <=> (v164(constB198) <=> (~((~v130(constB198)) | (~v154(constB198)))))),
% 7.72/5.30 inference(rewrite,[status(thm)],[])).
% 7.72/5.30 tff(99,plain,
% 7.72/5.30 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB198) <=> (~((~v154(constB198)) | (~v130(constB198)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB198) <=> (~((~v130(constB198)) | (~v154(constB198))))))),
% 7.72/5.30 inference(monotonicity,[status(thm)],[98])).
% 7.72/5.30 tff(100,plain,
% 7.72/5.30 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB198) <=> (~((~v154(constB198)) | (~v130(constB198)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB198) <=> (~((~v130(constB198)) | (~v154(constB198))))))),
% 7.72/5.30 inference(transitivity,[status(thm)],[99, 97])).
% 7.72/5.30 tff(101,plain,
% 7.72/5.30 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB198) <=> (~((~v154(constB198)) | (~v130(constB198)))))),
% 7.72/5.30 inference(quant_inst,[status(thm)],[])).
% 7.72/5.30 tff(102,plain,
% 7.72/5.30 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB198) <=> (~((~v130(constB198)) | (~v154(constB198)))))),
% 7.72/5.30 inference(modus_ponens,[status(thm)],[101, 100])).
% 7.72/5.30 tff(103,plain,
% 7.72/5.30 (v164(constB198) <=> (~((~v130(constB198)) | (~v154(constB198))))),
% 7.72/5.30 inference(unit_resolution,[status(thm)],[102, 96])).
% 7.72/5.30 tff(104,plain,
% 7.72/5.30 (^[VarCurr: $i] : refl((v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr))))) <=> (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr))))))),
% 7.72/5.30 inference(bind,[status(th)],[])).
% 7.72/5.30 tff(105,plain,
% 7.72/5.30 (![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr))))) <=> ![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))),
% 7.72/5.30 inference(quant_intro,[status(thm)],[104])).
% 7.72/5.30 tff(106,plain,
% 7.72/5.30 (^[VarCurr: $i] : rewrite((v154(VarCurr) <=> (v143(VarCurr) & v141(VarCurr))) <=> (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr))))))),
% 7.72/5.30 inference(bind,[status(th)],[])).
% 7.72/5.30 tff(107,plain,
% 7.72/5.30 (![VarCurr: $i] : (v154(VarCurr) <=> (v143(VarCurr) & v141(VarCurr))) <=> ![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))),
% 7.72/5.30 inference(quant_intro,[status(thm)],[106])).
% 7.72/5.30 tff(108,plain,
% 7.72/5.30 (![VarCurr: $i] : (v154(VarCurr) <=> (v143(VarCurr) & v141(VarCurr))) <=> ![VarCurr: $i] : (v154(VarCurr) <=> (v143(VarCurr) & v141(VarCurr)))),
% 7.72/5.30 inference(rewrite,[status(thm)],[])).
% 7.72/5.30 tff(109,axiom,(![VarCurr: $i] : (v154(VarCurr) <=> (v143(VarCurr) & v141(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_34')).
% 7.72/5.30 tff(110,plain,
% 7.72/5.30 (![VarCurr: $i] : (v154(VarCurr) <=> (v143(VarCurr) & v141(VarCurr)))),
% 7.72/5.30 inference(modus_ponens,[status(thm)],[109, 108])).
% 7.72/5.30 tff(111,plain,(
% 7.72/5.30 ![VarCurr: $i] : (v154(VarCurr) <=> (v143(VarCurr) & v141(VarCurr)))),
% 7.72/5.30 inference(skolemize,[status(sab)],[110])).
% 7.72/5.30 tff(112,plain,
% 7.72/5.30 (![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))),
% 7.72/5.30 inference(modus_ponens,[status(thm)],[111, 107])).
% 7.72/5.30 tff(113,plain,
% 7.72/5.30 (![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))),
% 7.72/5.30 inference(modus_ponens,[status(thm)],[112, 105])).
% 7.72/5.30 tff(114,plain,
% 7.72/5.30 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB198) <=> (~((~v141(constB198)) | (~v143(constB198)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB198) <=> (~((~v141(constB198)) | (~v143(constB198))))))),
% 7.72/5.30 inference(rewrite,[status(thm)],[])).
% 7.72/5.30 tff(115,plain,
% 7.72/5.30 ((v154(constB198) <=> (~((~v143(constB198)) | (~v141(constB198))))) <=> (v154(constB198) <=> (~((~v141(constB198)) | (~v143(constB198)))))),
% 7.72/5.30 inference(rewrite,[status(thm)],[])).
% 7.72/5.30 tff(116,plain,
% 7.72/5.30 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB198) <=> (~((~v143(constB198)) | (~v141(constB198)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB198) <=> (~((~v141(constB198)) | (~v143(constB198))))))),
% 7.72/5.30 inference(monotonicity,[status(thm)],[115])).
% 7.72/5.30 tff(117,plain,
% 7.72/5.30 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB198) <=> (~((~v143(constB198)) | (~v141(constB198)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB198) <=> (~((~v141(constB198)) | (~v143(constB198))))))),
% 7.72/5.30 inference(transitivity,[status(thm)],[116, 114])).
% 7.72/5.30 tff(118,plain,
% 7.72/5.30 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB198) <=> (~((~v143(constB198)) | (~v141(constB198)))))),
% 7.72/5.30 inference(quant_inst,[status(thm)],[])).
% 7.72/5.30 tff(119,plain,
% 7.72/5.30 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB198) <=> (~((~v141(constB198)) | (~v143(constB198)))))),
% 7.72/5.30 inference(modus_ponens,[status(thm)],[118, 117])).
% 7.72/5.30 tff(120,plain,
% 7.72/5.30 (v154(constB198) <=> (~((~v141(constB198)) | (~v143(constB198))))),
% 7.72/5.30 inference(unit_resolution,[status(thm)],[119, 113])).
% 7.72/5.30 tff(121,plain,
% 7.72/5.30 (^[VarCurr: $i] : refl((v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr))))) <=> (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr))))))),
% 7.72/5.30 inference(bind,[status(th)],[])).
% 7.72/5.30 tff(122,plain,
% 7.72/5.30 (![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr))))) <=> ![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))),
% 7.72/5.30 inference(quant_intro,[status(thm)],[121])).
% 7.72/5.30 tff(123,plain,
% 7.72/5.30 (^[VarCurr: $i] : rewrite((v141(VarCurr) <=> (v39(VarCurr) & v9(VarCurr))) <=> (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr))))))),
% 7.72/5.30 inference(bind,[status(th)],[])).
% 7.72/5.30 tff(124,plain,
% 7.72/5.30 (![VarCurr: $i] : (v141(VarCurr) <=> (v39(VarCurr) & v9(VarCurr))) <=> ![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))),
% 7.72/5.30 inference(quant_intro,[status(thm)],[123])).
% 7.72/5.30 tff(125,plain,
% 7.72/5.30 (![VarCurr: $i] : (v141(VarCurr) <=> (v39(VarCurr) & v9(VarCurr))) <=> ![VarCurr: $i] : (v141(VarCurr) <=> (v39(VarCurr) & v9(VarCurr)))),
% 7.72/5.30 inference(rewrite,[status(thm)],[])).
% 7.72/5.30 tff(126,axiom,(![VarCurr: $i] : (v141(VarCurr) <=> (v39(VarCurr) & v9(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_28')).
% 7.72/5.30 tff(127,plain,
% 7.72/5.30 (![VarCurr: $i] : (v141(VarCurr) <=> (v39(VarCurr) & v9(VarCurr)))),
% 7.72/5.30 inference(modus_ponens,[status(thm)],[126, 125])).
% 7.72/5.30 tff(128,plain,(
% 7.72/5.30 ![VarCurr: $i] : (v141(VarCurr) <=> (v39(VarCurr) & v9(VarCurr)))),
% 7.72/5.30 inference(skolemize,[status(sab)],[127])).
% 7.72/5.30 tff(129,plain,
% 7.72/5.30 (![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))),
% 7.72/5.30 inference(modus_ponens,[status(thm)],[128, 124])).
% 7.72/5.30 tff(130,plain,
% 7.72/5.30 (![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))),
% 7.72/5.30 inference(modus_ponens,[status(thm)],[129, 122])).
% 7.72/5.30 tff(131,plain,
% 7.72/5.30 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB198) <=> (~((~v39(constB198)) | (~v9(constB198)))))),
% 7.72/5.30 inference(quant_inst,[status(thm)],[])).
% 7.72/5.30 tff(132,plain,
% 7.72/5.30 (v141(constB198) <=> (~((~v39(constB198)) | (~v9(constB198))))),
% 7.72/5.30 inference(unit_resolution,[status(thm)],[131, 130])).
% 7.72/5.30 tff(133,plain,
% 7.72/5.30 (^[VarCurr: $i] : refl(((~v39(VarCurr)) <=> v1(VarCurr)) <=> ((~v39(VarCurr)) <=> v1(VarCurr)))),
% 7.72/5.30 inference(bind,[status(th)],[])).
% 7.72/5.30 tff(134,plain,
% 7.72/5.30 (![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr)) <=> ![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))),
% 7.72/5.30 inference(quant_intro,[status(thm)],[133])).
% 7.72/5.30 tff(135,plain,
% 7.72/5.30 (![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr)) <=> ![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))),
% 7.72/5.30 inference(rewrite,[status(thm)],[])).
% 7.72/5.30 tff(136,axiom,(![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeUnaryOperator_3')).
% 7.72/5.30 tff(137,plain,
% 7.72/5.30 (![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))),
% 7.72/5.30 inference(modus_ponens,[status(thm)],[136, 135])).
% 7.72/5.30 tff(138,plain,(
% 7.72/5.30 ![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))),
% 7.72/5.30 inference(skolemize,[status(sab)],[137])).
% 7.72/5.30 tff(139,plain,
% 7.72/5.30 (![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))),
% 7.72/5.30 inference(modus_ponens,[status(thm)],[138, 134])).
% 7.72/5.30 tff(140,plain,
% 7.72/5.30 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB198)) <=> v1(constB198))),
% 7.72/5.30 inference(quant_inst,[status(thm)],[])).
% 7.72/5.30 tff(141,plain,
% 7.72/5.30 ((~v39(constB198)) <=> v1(constB198)),
% 7.72/5.30 inference(unit_resolution,[status(thm)],[140, 139])).
% 7.72/5.30 tff(142,plain,
% 7.72/5.30 (v1(constB198) <=> v1(constB198)),
% 7.72/5.30 inference(rewrite,[status(thm)],[])).
% 7.72/5.30 tff(143,axiom,(v1(constB198)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_198')).
% 7.72/5.30 tff(144,plain,
% 7.72/5.30 (v1(constB198)),
% 7.72/5.30 inference(modus_ponens,[status(thm)],[143, 142])).
% 7.72/5.30 tff(145,plain,
% 7.72/5.30 ((~((~v39(constB198)) <=> v1(constB198))) | (~v39(constB198)) | (~v1(constB198))),
% 7.72/5.30 inference(tautology,[status(thm)],[])).
% 7.72/5.30 tff(146,plain,
% 7.72/5.30 ((~((~v39(constB198)) <=> v1(constB198))) | (~v39(constB198))),
% 7.72/5.30 inference(unit_resolution,[status(thm)],[145, 144])).
% 7.72/5.30 tff(147,plain,
% 7.72/5.30 (~v39(constB198)),
% 7.72/5.30 inference(unit_resolution,[status(thm)],[146, 141])).
% 7.72/5.30 tff(148,plain,
% 7.72/5.30 (((~v39(constB198)) | (~v9(constB198))) | v39(constB198)),
% 7.72/5.30 inference(tautology,[status(thm)],[])).
% 7.72/5.30 tff(149,plain,
% 7.72/5.30 ((~v39(constB198)) | (~v9(constB198))),
% 7.72/5.30 inference(unit_resolution,[status(thm)],[148, 147])).
% 7.72/5.30 tff(150,plain,
% 7.72/5.30 ((~(v141(constB198) <=> (~((~v39(constB198)) | (~v9(constB198)))))) | (~v141(constB198)) | (~((~v39(constB198)) | (~v9(constB198))))),
% 7.72/5.30 inference(tautology,[status(thm)],[])).
% 7.72/5.30 tff(151,plain,
% 7.72/5.30 ((~(v141(constB198) <=> (~((~v39(constB198)) | (~v9(constB198)))))) | (~v141(constB198))),
% 7.72/5.30 inference(unit_resolution,[status(thm)],[150, 149])).
% 7.72/5.30 tff(152,plain,
% 7.72/5.30 (~v141(constB198)),
% 7.72/5.30 inference(unit_resolution,[status(thm)],[151, 132])).
% 7.72/5.30 tff(153,plain,
% 7.72/5.30 (((~v141(constB198)) | (~v143(constB198))) | v141(constB198)),
% 7.72/5.30 inference(tautology,[status(thm)],[])).
% 7.72/5.30 tff(154,plain,
% 7.72/5.30 ((~v141(constB198)) | (~v143(constB198))),
% 7.72/5.30 inference(unit_resolution,[status(thm)],[153, 152])).
% 7.72/5.30 tff(155,plain,
% 7.72/5.30 ((~(v154(constB198) <=> (~((~v141(constB198)) | (~v143(constB198)))))) | (~v154(constB198)) | (~((~v141(constB198)) | (~v143(constB198))))),
% 7.72/5.30 inference(tautology,[status(thm)],[])).
% 7.72/5.30 tff(156,plain,
% 7.72/5.30 ((~(v154(constB198) <=> (~((~v141(constB198)) | (~v143(constB198)))))) | (~v154(constB198))),
% 7.72/5.30 inference(unit_resolution,[status(thm)],[155, 154])).
% 7.72/5.30 tff(157,plain,
% 7.72/5.30 (~v154(constB198)),
% 7.72/5.30 inference(unit_resolution,[status(thm)],[156, 120])).
% 7.72/5.30 tff(158,plain,
% 7.72/5.30 (((~v130(constB198)) | (~v154(constB198))) | v154(constB198)),
% 7.72/5.30 inference(tautology,[status(thm)],[])).
% 7.72/5.30 tff(159,plain,
% 7.72/5.30 ((~v130(constB198)) | (~v154(constB198))),
% 7.72/5.30 inference(unit_resolution,[status(thm)],[158, 157])).
% 7.72/5.30 tff(160,plain,
% 7.72/5.30 ((~(v164(constB198) <=> (~((~v130(constB198)) | (~v154(constB198)))))) | (~v164(constB198)) | (~((~v130(constB198)) | (~v154(constB198))))),
% 7.72/5.30 inference(tautology,[status(thm)],[])).
% 7.72/5.30 tff(161,plain,
% 7.72/5.30 (~v164(constB198)),
% 7.72/5.30 inference(unit_resolution,[status(thm)],[160, 159, 103])).
% 7.72/5.30 tff(162,plain,
% 7.72/5.30 (^[VarCurr: $i] : refl((v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr))))) <=> (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr))))))),
% 7.72/5.30 inference(bind,[status(th)],[])).
% 7.72/5.30 tff(163,plain,
% 7.72/5.30 (![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr))))) <=> ![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))),
% 7.72/5.30 inference(quant_intro,[status(thm)],[162])).
% 7.72/5.30 tff(164,plain,
% 7.72/5.30 (^[VarCurr: $i] : rewrite((v163(VarCurr) <=> (v139(VarCurr) & v128(VarCurr))) <=> (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr))))))),
% 7.72/5.30 inference(bind,[status(th)],[])).
% 7.72/5.30 tff(165,plain,
% 7.72/5.30 (![VarCurr: $i] : (v163(VarCurr) <=> (v139(VarCurr) & v128(VarCurr))) <=> ![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))),
% 7.72/5.30 inference(quant_intro,[status(thm)],[164])).
% 7.72/5.30 tff(166,plain,
% 7.72/5.30 (![VarCurr: $i] : (v163(VarCurr) <=> (v139(VarCurr) & v128(VarCurr))) <=> ![VarCurr: $i] : (v163(VarCurr) <=> (v139(VarCurr) & v128(VarCurr)))),
% 7.72/5.30 inference(rewrite,[status(thm)],[])).
% 7.72/5.30 tff(167,axiom,(![VarCurr: $i] : (v163(VarCurr) <=> (v139(VarCurr) & v128(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_38')).
% 7.72/5.30 tff(168,plain,
% 7.72/5.30 (![VarCurr: $i] : (v163(VarCurr) <=> (v139(VarCurr) & v128(VarCurr)))),
% 7.72/5.30 inference(modus_ponens,[status(thm)],[167, 166])).
% 7.72/5.30 tff(169,plain,(
% 7.72/5.30 ![VarCurr: $i] : (v163(VarCurr) <=> (v139(VarCurr) & v128(VarCurr)))),
% 7.72/5.30 inference(skolemize,[status(sab)],[168])).
% 7.72/5.30 tff(170,plain,
% 7.72/5.30 (![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))),
% 7.72/5.30 inference(modus_ponens,[status(thm)],[169, 165])).
% 7.72/5.30 tff(171,plain,
% 7.72/5.30 (![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))),
% 7.72/5.30 inference(modus_ponens,[status(thm)],[170, 163])).
% 7.72/5.30 tff(172,plain,
% 7.72/5.30 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB198) <=> (~((~v128(constB198)) | (~v139(constB198)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB198) <=> (~((~v128(constB198)) | (~v139(constB198))))))),
% 7.72/5.30 inference(rewrite,[status(thm)],[])).
% 7.72/5.30 tff(173,plain,
% 7.72/5.30 ((v163(constB198) <=> (~((~v139(constB198)) | (~v128(constB198))))) <=> (v163(constB198) <=> (~((~v128(constB198)) | (~v139(constB198)))))),
% 7.72/5.30 inference(rewrite,[status(thm)],[])).
% 7.72/5.30 tff(174,plain,
% 7.72/5.30 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB198) <=> (~((~v139(constB198)) | (~v128(constB198)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB198) <=> (~((~v128(constB198)) | (~v139(constB198))))))),
% 7.72/5.30 inference(monotonicity,[status(thm)],[173])).
% 7.72/5.30 tff(175,plain,
% 7.72/5.30 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB198) <=> (~((~v139(constB198)) | (~v128(constB198)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB198) <=> (~((~v128(constB198)) | (~v139(constB198))))))),
% 7.72/5.30 inference(transitivity,[status(thm)],[174, 172])).
% 7.72/5.30 tff(176,plain,
% 7.72/5.30 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB198) <=> (~((~v139(constB198)) | (~v128(constB198)))))),
% 7.72/5.30 inference(quant_inst,[status(thm)],[])).
% 7.72/5.30 tff(177,plain,
% 7.72/5.30 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB198) <=> (~((~v128(constB198)) | (~v139(constB198)))))),
% 7.72/5.30 inference(modus_ponens,[status(thm)],[176, 175])).
% 7.72/5.30 tff(178,plain,
% 7.72/5.30 (v163(constB198) <=> (~((~v128(constB198)) | (~v139(constB198))))),
% 7.72/5.30 inference(unit_resolution,[status(thm)],[177, 171])).
% 7.72/5.30 tff(179,plain,
% 7.72/5.30 ((~![VarNext: $i] : (v128(VarNext) <=> v162(VarNext))) | (v128(constB198) <=> v162(constB198))),
% 7.72/5.30 inference(quant_inst,[status(thm)],[])).
% 7.72/5.30 tff(180,plain,
% 7.72/5.30 (v128(constB198) <=> v162(constB198)),
% 7.72/5.30 inference(unit_resolution,[status(thm)],[179, 13])).
% 7.72/5.30 tff(181,plain,
% 7.72/5.30 (nextState(constB197, constB198) <=> nextState(constB197, constB198)),
% 7.72/5.30 inference(rewrite,[status(thm)],[])).
% 7.72/5.30 tff(182,axiom,(nextState(constB197, constB198)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_197')).
% 7.72/5.30 tff(183,plain,
% 7.72/5.30 (nextState(constB197, constB198)),
% 7.72/5.30 inference(modus_ponens,[status(thm)],[182, 181])).
% 7.72/5.30 tff(184,plain,
% 7.72/5.30 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB197, constB198)) | (v162(constB198) <=> v160(constB197)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB197, constB198)) | (v162(constB198) <=> v160(constB197)))),
% 7.72/5.30 inference(rewrite,[status(thm)],[])).
% 7.72/5.30 tff(185,plain,
% 7.72/5.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB197, constB198)) | (v162(constB198) <=> v160(constB197)))),
% 7.72/5.30 inference(quant_inst,[status(thm)],[])).
% 7.72/5.30 tff(186,plain,
% 7.72/5.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB197, constB198)) | (v162(constB198) <=> v160(constB197))),
% 7.72/5.30 inference(modus_ponens,[status(thm)],[185, 184])).
% 7.72/5.30 tff(187,plain,
% 7.72/5.30 (v162(constB198) <=> v160(constB197)),
% 7.72/5.30 inference(unit_resolution,[status(thm)],[186, 183, 70])).
% 7.72/5.30 tff(188,plain,
% 7.72/5.30 ((~![VarCurr: $i] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB197) <=> (v163(constB197) | v164(constB197)))),
% 7.72/5.30 inference(quant_inst,[status(thm)],[])).
% 7.72/5.30 tff(189,plain,
% 7.72/5.30 (v160(constB197) <=> (v163(constB197) | v164(constB197))),
% 7.72/5.30 inference(unit_resolution,[status(thm)],[188, 84])).
% 7.72/5.30 tff(190,plain,
% 7.72/5.30 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB197) <=> (~((~v128(constB197)) | (~v139(constB197)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB197) <=> (~((~v128(constB197)) | (~v139(constB197))))))),
% 7.72/5.30 inference(rewrite,[status(thm)],[])).
% 7.72/5.30 tff(191,plain,
% 7.72/5.30 ((v163(constB197) <=> (~((~v139(constB197)) | (~v128(constB197))))) <=> (v163(constB197) <=> (~((~v128(constB197)) | (~v139(constB197)))))),
% 7.72/5.30 inference(rewrite,[status(thm)],[])).
% 7.72/5.30 tff(192,plain,
% 7.72/5.30 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB197) <=> (~((~v139(constB197)) | (~v128(constB197)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB197) <=> (~((~v128(constB197)) | (~v139(constB197))))))),
% 7.72/5.30 inference(monotonicity,[status(thm)],[191])).
% 7.72/5.30 tff(193,plain,
% 7.72/5.30 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB197) <=> (~((~v139(constB197)) | (~v128(constB197)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB197) <=> (~((~v128(constB197)) | (~v139(constB197))))))),
% 7.72/5.30 inference(transitivity,[status(thm)],[192, 190])).
% 7.72/5.30 tff(194,plain,
% 7.72/5.30 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB197) <=> (~((~v139(constB197)) | (~v128(constB197)))))),
% 7.72/5.30 inference(quant_inst,[status(thm)],[])).
% 7.72/5.30 tff(195,plain,
% 7.72/5.30 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB197) <=> (~((~v128(constB197)) | (~v139(constB197)))))),
% 7.72/5.30 inference(modus_ponens,[status(thm)],[194, 193])).
% 7.72/5.30 tff(196,plain,
% 7.72/5.30 (v163(constB197) <=> (~((~v128(constB197)) | (~v139(constB197))))),
% 7.72/5.30 inference(unit_resolution,[status(thm)],[195, 171])).
% 7.72/5.30 tff(197,plain,
% 7.72/5.30 (^[VarCurr: $i] : refl(((~v139(VarCurr)) <=> v140(VarCurr)) <=> ((~v139(VarCurr)) <=> v140(VarCurr)))),
% 7.72/5.30 inference(bind,[status(th)],[])).
% 7.72/5.30 tff(198,plain,
% 7.72/5.30 (![VarCurr: $i] : ((~v139(VarCurr)) <=> v140(VarCurr)) <=> ![VarCurr: $i] : ((~v139(VarCurr)) <=> v140(VarCurr))),
% 7.72/5.30 inference(quant_intro,[status(thm)],[197])).
% 7.72/5.30 tff(199,plain,
% 7.72/5.30 (![VarCurr: $i] : ((~v139(VarCurr)) <=> v140(VarCurr)) <=> ![VarCurr: $i] : ((~v139(VarCurr)) <=> v140(VarCurr))),
% 7.72/5.30 inference(rewrite,[status(thm)],[])).
% 7.72/5.30 tff(200,axiom,(![VarCurr: $i] : ((~v139(VarCurr)) <=> v140(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeUnaryOperator_14')).
% 7.72/5.30 tff(201,plain,
% 7.72/5.30 (![VarCurr: $i] : ((~v139(VarCurr)) <=> v140(VarCurr))),
% 7.72/5.30 inference(modus_ponens,[status(thm)],[200, 199])).
% 7.72/5.30 tff(202,plain,(
% 7.72/5.30 ![VarCurr: $i] : ((~v139(VarCurr)) <=> v140(VarCurr))),
% 7.72/5.30 inference(skolemize,[status(sab)],[201])).
% 7.72/5.30 tff(203,plain,
% 7.72/5.30 (![VarCurr: $i] : ((~v139(VarCurr)) <=> v140(VarCurr))),
% 7.72/5.30 inference(modus_ponens,[status(thm)],[202, 198])).
% 7.72/5.30 tff(204,plain,
% 7.72/5.30 ((~![VarCurr: $i] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB197)) <=> v140(constB197))),
% 7.72/5.30 inference(quant_inst,[status(thm)],[])).
% 7.72/5.30 tff(205,plain,
% 7.72/5.30 ((~v139(constB197)) <=> v140(constB197)),
% 7.72/5.30 inference(unit_resolution,[status(thm)],[204, 203])).
% 7.72/5.30 tff(206,plain,
% 7.72/5.30 (^[VarCurr: $i] : refl((v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr))) <=> (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr))))),
% 7.72/5.30 inference(bind,[status(th)],[])).
% 7.72/5.30 tff(207,plain,
% 7.72/5.30 (![VarCurr: $i] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr))) <=> ![VarCurr: $i] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))),
% 7.72/5.30 inference(quant_intro,[status(thm)],[206])).
% 7.72/5.30 tff(208,plain,
% 7.72/5.30 (![VarCurr: $i] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr))) <=> ![VarCurr: $i] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))),
% 7.72/5.30 inference(rewrite,[status(thm)],[])).
% 7.72/5.30 tff(209,axiom,(![VarCurr: $i] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_29')).
% 7.72/5.30 tff(210,plain,
% 7.72/5.30 (![VarCurr: $i] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))),
% 7.72/5.30 inference(modus_ponens,[status(thm)],[209, 208])).
% 7.72/5.30 tff(211,plain,(
% 7.72/5.30 ![VarCurr: $i] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))),
% 7.72/5.30 inference(skolemize,[status(sab)],[210])).
% 7.72/5.30 tff(212,plain,
% 7.72/5.30 (![VarCurr: $i] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))),
% 7.72/5.30 inference(modus_ponens,[status(thm)],[211, 207])).
% 7.72/5.30 tff(213,plain,
% 7.72/5.30 ((~![VarCurr: $i] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB197) <=> (v141(constB197) | v26(constB197)))),
% 7.72/5.30 inference(quant_inst,[status(thm)],[])).
% 7.72/5.30 tff(214,plain,
% 7.72/5.30 (v140(constB197) <=> (v141(constB197) | v26(constB197))),
% 7.72/5.30 inference(unit_resolution,[status(thm)],[213, 212])).
% 7.72/5.30 tff(215,plain,
% 7.72/5.30 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB197) <=> (~((~v39(constB197)) | (~v9(constB197)))))),
% 7.72/5.30 inference(quant_inst,[status(thm)],[])).
% 7.72/5.30 tff(216,plain,
% 7.72/5.30 (v141(constB197) <=> (~((~v39(constB197)) | (~v9(constB197))))),
% 7.72/5.30 inference(unit_resolution,[status(thm)],[215, 130])).
% 7.72/5.30 tff(217,plain,
% 7.72/5.30 (^[VarCurr: $i, VarNext: $i] : refl(((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr))))),
% 7.72/5.30 inference(bind,[status(th)],[])).
% 7.72/5.30 tff(218,plain,
% 7.72/5.30 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))),
% 7.72/5.30 inference(quant_intro,[status(thm)],[217])).
% 7.72/5.30 tff(219,plain,
% 7.72/5.30 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))),
% 7.72/5.30 inference(rewrite,[status(thm)],[])).
% 7.72/5.30 tff(220,plain,
% 7.72/5.30 (^[VarCurr: $i, VarNext: $i] : rewrite((nextState(VarCurr, VarNext) => (v13(VarNext) <=> v9(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr))))),
% 7.72/5.30 inference(bind,[status(th)],[])).
% 7.72/5.30 tff(221,plain,
% 7.72/5.30 (![VarCurr: $i, VarNext: $i] : (nextState(VarCurr, VarNext) => (v13(VarNext) <=> v9(VarCurr))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))),
% 7.72/5.30 inference(quant_intro,[status(thm)],[220])).
% 7.72/5.30 tff(222,axiom,(![VarCurr: $i, VarNext: $i] : (nextState(VarCurr, VarNext) => (v13(VarNext) <=> v9(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment')).
% 7.72/5.30 tff(223,plain,
% 7.72/5.30 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))),
% 7.72/5.30 inference(modus_ponens,[status(thm)],[222, 221])).
% 7.72/5.30 tff(224,plain,
% 7.72/5.30 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))),
% 7.72/5.30 inference(modus_ponens,[status(thm)],[223, 219])).
% 7.72/5.30 tff(225,plain,(
% 7.72/5.30 ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))),
% 7.72/5.30 inference(skolemize,[status(sab)],[224])).
% 7.72/5.30 tff(226,plain,
% 7.72/5.30 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))),
% 7.72/5.30 inference(modus_ponens,[status(thm)],[225, 218])).
% 7.72/5.30 tff(227,plain,
% 7.72/5.30 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB197, constB198)) | (v13(constB198) <=> v9(constB197)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB197, constB198)) | (v13(constB198) <=> v9(constB197)))),
% 7.72/5.30 inference(rewrite,[status(thm)],[])).
% 7.72/5.30 tff(228,plain,
% 7.72/5.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB197, constB198)) | (v13(constB198) <=> v9(constB197)))),
% 7.72/5.30 inference(quant_inst,[status(thm)],[])).
% 7.72/5.30 tff(229,plain,
% 7.72/5.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB197, constB198)) | (v13(constB198) <=> v9(constB197))),
% 7.72/5.30 inference(modus_ponens,[status(thm)],[228, 227])).
% 7.72/5.30 tff(230,plain,
% 7.72/5.30 (v13(constB198) <=> v9(constB197)),
% 7.72/5.30 inference(unit_resolution,[status(thm)],[229, 183, 226])).
% 7.72/5.30 tff(231,plain,
% 7.72/5.30 (^[VarNext: $i] : refl((v6(VarNext) <=> v13(VarNext)) <=> (v6(VarNext) <=> v13(VarNext)))),
% 7.72/5.30 inference(bind,[status(th)],[])).
% 7.72/5.30 tff(232,plain,
% 7.72/5.30 (![VarNext: $i] : (v6(VarNext) <=> v13(VarNext)) <=> ![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))),
% 7.72/5.30 inference(quant_intro,[status(thm)],[231])).
% 7.72/5.30 tff(233,plain,
% 7.72/5.30 (![VarNext: $i] : (v6(VarNext) <=> v13(VarNext)) <=> ![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))),
% 7.72/5.30 inference(rewrite,[status(thm)],[])).
% 7.72/5.30 tff(234,plain,
% 7.72/5.30 (^[VarNext: $i] : rewrite(($true => (v6(VarNext) <=> v13(VarNext))) <=> (v6(VarNext) <=> v13(VarNext)))),
% 7.72/5.30 inference(bind,[status(th)],[])).
% 7.72/5.30 tff(235,plain,
% 7.72/5.30 (![VarNext: $i] : ($true => (v6(VarNext) <=> v13(VarNext))) <=> ![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))),
% 7.72/5.30 inference(quant_intro,[status(thm)],[234])).
% 7.72/5.30 tff(236,axiom,(![VarNext: $i] : ($true => (v6(VarNext) <=> v13(VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch')).
% 7.72/5.30 tff(237,plain,
% 7.72/5.30 (![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))),
% 7.72/5.30 inference(modus_ponens,[status(thm)],[236, 235])).
% 7.72/5.30 tff(238,plain,
% 7.72/5.30 (![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))),
% 7.72/5.30 inference(modus_ponens,[status(thm)],[237, 233])).
% 7.72/5.30 tff(239,plain,(
% 7.72/5.30 ![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))),
% 7.72/5.30 inference(skolemize,[status(sab)],[238])).
% 7.72/5.30 tff(240,plain,
% 7.72/5.30 (![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))),
% 7.72/5.30 inference(modus_ponens,[status(thm)],[239, 232])).
% 7.72/5.30 tff(241,plain,
% 7.72/5.30 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB198) <=> v13(constB198))),
% 7.72/5.30 inference(quant_inst,[status(thm)],[])).
% 7.72/5.30 tff(242,plain,
% 7.72/5.30 (v6(constB198) <=> v13(constB198)),
% 7.72/5.30 inference(unit_resolution,[status(thm)],[241, 240])).
% 7.72/5.30 tff(243,plain,
% 7.72/5.30 (^[VarCurr: $i] : refl(((~v21(VarCurr)) <=> v6(VarCurr)) <=> ((~v21(VarCurr)) <=> v6(VarCurr)))),
% 7.72/5.30 inference(bind,[status(th)],[])).
% 7.72/5.30 tff(244,plain,
% 7.72/5.30 (![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr)) <=> ![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))),
% 7.72/5.30 inference(quant_intro,[status(thm)],[243])).
% 7.72/5.30 tff(245,plain,
% 7.72/5.30 (![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr)) <=> ![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))),
% 7.72/5.30 inference(rewrite,[status(thm)],[])).
% 7.72/5.30 tff(246,axiom,(![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeUnaryOperator_1')).
% 7.72/5.30 tff(247,plain,
% 7.72/5.30 (![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))),
% 7.72/5.30 inference(modus_ponens,[status(thm)],[246, 245])).
% 7.72/5.30 tff(248,plain,(
% 7.72/5.30 ![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))),
% 7.72/5.30 inference(skolemize,[status(sab)],[247])).
% 7.72/5.30 tff(249,plain,
% 7.72/5.30 (![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))),
% 7.72/5.30 inference(modus_ponens,[status(thm)],[248, 244])).
% 7.72/5.30 tff(250,plain,
% 7.72/5.30 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB198)) <=> v6(constB198))),
% 7.72/5.30 inference(quant_inst,[status(thm)],[])).
% 7.72/5.30 tff(251,plain,
% 7.72/5.30 ((~v21(constB198)) <=> v6(constB198)),
% 7.72/5.30 inference(unit_resolution,[status(thm)],[250, 249])).
% 7.72/5.30 tff(252,plain,
% 7.72/5.30 (^[VarCurr: $i] : refl((v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr))) <=> (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr))))),
% 7.72/5.30 inference(bind,[status(th)],[])).
% 7.72/5.30 tff(253,plain,
% 7.72/5.30 (![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr))) <=> ![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))),
% 7.72/5.30 inference(quant_intro,[status(thm)],[252])).
% 7.72/5.30 tff(254,plain,
% 7.72/5.30 (![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr))) <=> ![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))),
% 7.72/5.30 inference(rewrite,[status(thm)],[])).
% 7.72/5.30 tff(255,axiom,(![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits')).
% 7.72/5.30 tff(256,plain,
% 7.72/5.30 (![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))),
% 7.72/5.30 inference(modus_ponens,[status(thm)],[255, 254])).
% 7.72/5.30 tff(257,plain,(
% 7.72/5.30 ![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))),
% 7.72/5.30 inference(skolemize,[status(sab)],[256])).
% 7.72/5.30 tff(258,plain,
% 7.72/5.30 (![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))),
% 7.72/5.30 inference(modus_ponens,[status(thm)],[257, 253])).
% 7.72/5.30 tff(259,plain,
% 7.72/5.30 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB198) <=> (v20(constB198) | v21(constB198)))),
% 7.72/5.30 inference(quant_inst,[status(thm)],[])).
% 7.72/5.30 tff(260,plain,
% 7.72/5.30 (v19(constB198) <=> (v20(constB198) | v21(constB198))),
% 7.72/5.30 inference(unit_resolution,[status(thm)],[259, 258])).
% 7.72/5.30 tff(261,plain,
% 7.72/5.30 (^[VarCurr: $i] : refl((v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr))))) <=> (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr))))))),
% 7.72/5.30 inference(bind,[status(th)],[])).
% 7.72/5.30 tff(262,plain,
% 7.72/5.30 (![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr))))) <=> ![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))),
% 7.72/5.30 inference(quant_intro,[status(thm)],[261])).
% 7.72/5.30 tff(263,plain,
% 7.72/5.30 (^[VarCurr: $i] : rewrite((v18(VarCurr) <=> (v19(VarCurr) & v22(VarCurr))) <=> (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr))))))),
% 7.72/5.30 inference(bind,[status(th)],[])).
% 7.72/5.30 tff(264,plain,
% 7.72/5.30 (![VarCurr: $i] : (v18(VarCurr) <=> (v19(VarCurr) & v22(VarCurr))) <=> ![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))),
% 7.72/5.30 inference(quant_intro,[status(thm)],[263])).
% 7.72/5.30 tff(265,plain,
% 7.72/5.30 (![VarCurr: $i] : (v18(VarCurr) <=> (v19(VarCurr) & v22(VarCurr))) <=> ![VarCurr: $i] : (v18(VarCurr) <=> (v19(VarCurr) & v22(VarCurr)))),
% 7.72/5.30 inference(rewrite,[status(thm)],[])).
% 7.72/5.30 tff(266,axiom,(![VarCurr: $i] : (v18(VarCurr) <=> (v19(VarCurr) & v22(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_2')).
% 7.72/5.30 tff(267,plain,
% 7.72/5.30 (![VarCurr: $i] : (v18(VarCurr) <=> (v19(VarCurr) & v22(VarCurr)))),
% 7.72/5.30 inference(modus_ponens,[status(thm)],[266, 265])).
% 7.72/5.30 tff(268,plain,(
% 7.72/5.30 ![VarCurr: $i] : (v18(VarCurr) <=> (v19(VarCurr) & v22(VarCurr)))),
% 7.72/5.30 inference(skolemize,[status(sab)],[267])).
% 7.72/5.30 tff(269,plain,
% 7.72/5.30 (![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))),
% 7.72/5.30 inference(modus_ponens,[status(thm)],[268, 264])).
% 7.72/5.30 tff(270,plain,
% 7.72/5.30 (![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))),
% 7.72/5.30 inference(modus_ponens,[status(thm)],[269, 262])).
% 7.72/5.30 tff(271,plain,
% 7.72/5.30 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB198) <=> (~((~v19(constB198)) | (~v22(constB198)))))),
% 7.72/5.30 inference(quant_inst,[status(thm)],[])).
% 7.72/5.30 tff(272,plain,
% 7.72/5.30 (v18(constB198) <=> (~((~v19(constB198)) | (~v22(constB198))))),
% 7.72/5.30 inference(unit_resolution,[status(thm)],[271, 270])).
% 7.72/5.30 tff(273,plain,
% 7.72/5.30 (^[VarCurr: $i] : refl(((~v4(VarCurr)) <=> v18(VarCurr)) <=> ((~v4(VarCurr)) <=> v18(VarCurr)))),
% 7.72/5.30 inference(bind,[status(th)],[])).
% 7.72/5.30 tff(274,plain,
% 7.72/5.30 (![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr)) <=> ![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))),
% 7.72/5.30 inference(quant_intro,[status(thm)],[273])).
% 7.72/5.30 tff(275,plain,
% 7.72/5.30 (![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr)) <=> ![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))),
% 7.72/5.30 inference(rewrite,[status(thm)],[])).
% 7.72/5.30 tff(276,axiom,(![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeUnaryOperator_2')).
% 7.72/5.30 tff(277,plain,
% 7.72/5.30 (![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))),
% 7.72/5.30 inference(modus_ponens,[status(thm)],[276, 275])).
% 7.72/5.30 tff(278,plain,(
% 7.72/5.30 ![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))),
% 7.72/5.30 inference(skolemize,[status(sab)],[277])).
% 7.72/5.30 tff(279,plain,
% 7.72/5.30 (![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))),
% 7.72/5.30 inference(modus_ponens,[status(thm)],[278, 274])).
% 7.72/5.30 tff(280,plain,
% 7.72/5.30 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB198)) <=> v18(constB198))),
% 7.72/5.30 inference(quant_inst,[status(thm)],[])).
% 7.72/5.30 tff(281,plain,
% 7.72/5.30 ((~v4(constB198)) <=> v18(constB198)),
% 7.72/5.30 inference(unit_resolution,[status(thm)],[280, 279])).
% 7.72/5.30 tff(282,plain,
% 7.72/5.30 (^[VarCurr: $i] : refl(v4(VarCurr) <=> v4(VarCurr))),
% 7.72/5.30 inference(bind,[status(th)],[])).
% 7.72/5.30 tff(283,plain,
% 7.72/5.30 (![VarCurr: $i] : v4(VarCurr) <=> ![VarCurr: $i] : v4(VarCurr)),
% 7.72/5.30 inference(quant_intro,[status(thm)],[282])).
% 7.72/5.30 tff(284,plain,
% 7.72/5.30 (![VarCurr: $i] : v4(VarCurr) <=> ![VarCurr: $i] : v4(VarCurr)),
% 7.72/5.30 inference(rewrite,[status(thm)],[])).
% 7.72/5.30 tff(285,axiom,(![VarCurr: $i] : v4(VarCurr)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addGlobalAssumption')).
% 7.72/5.30 tff(286,plain,
% 7.72/5.30 (![VarCurr: $i] : v4(VarCurr)),
% 7.72/5.30 inference(modus_ponens,[status(thm)],[285, 284])).
% 7.72/5.30 tff(287,plain,(
% 7.72/5.30 ![VarCurr: $i] : v4(VarCurr)),
% 7.72/5.30 inference(skolemize,[status(sab)],[286])).
% 7.72/5.30 tff(288,plain,
% 7.72/5.30 (![VarCurr: $i] : v4(VarCurr)),
% 7.72/5.30 inference(modus_ponens,[status(thm)],[287, 283])).
% 7.72/5.30 tff(289,plain,
% 7.72/5.30 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB198)),
% 7.72/5.30 inference(quant_inst,[status(thm)],[])).
% 7.72/5.30 tff(290,plain,
% 7.72/5.30 (v4(constB198)),
% 7.72/5.30 inference(unit_resolution,[status(thm)],[289, 288])).
% 7.72/5.30 tff(291,plain,
% 7.72/5.30 ((~((~v4(constB198)) <=> v18(constB198))) | (~v4(constB198)) | (~v18(constB198))),
% 7.72/5.30 inference(tautology,[status(thm)],[])).
% 7.72/5.30 tff(292,plain,
% 7.72/5.30 (~v18(constB198)),
% 7.72/5.30 inference(unit_resolution,[status(thm)],[291, 290, 281])).
% 7.72/5.30 tff(293,plain,
% 7.72/5.30 ((~(v18(constB198) <=> (~((~v19(constB198)) | (~v22(constB198)))))) | v18(constB198) | ((~v19(constB198)) | (~v22(constB198)))),
% 7.72/5.30 inference(tautology,[status(thm)],[])).
% 7.72/5.30 tff(294,plain,
% 7.72/5.30 ((~v19(constB198)) | (~v22(constB198))),
% 7.72/5.30 inference(unit_resolution,[status(thm)],[293, 292, 272])).
% 7.72/5.30 tff(295,plain,
% 7.72/5.30 (^[VarCurr: $i] : refl((v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr))) <=> (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr))))),
% 7.72/5.30 inference(bind,[status(th)],[])).
% 7.72/5.30 tff(296,plain,
% 7.72/5.30 (![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr))) <=> ![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))),
% 7.72/5.30 inference(quant_intro,[status(thm)],[295])).
% 7.72/5.30 tff(297,plain,
% 7.72/5.30 (![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr))) <=> ![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))),
% 7.72/5.30 inference(rewrite,[status(thm)],[])).
% 7.72/5.30 tff(298,axiom,(![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_1')).
% 7.72/5.30 tff(299,plain,
% 7.72/5.30 (![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))),
% 7.72/5.30 inference(modus_ponens,[status(thm)],[298, 297])).
% 7.72/5.30 tff(300,plain,(
% 7.72/5.30 ![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))),
% 7.72/5.30 inference(skolemize,[status(sab)],[299])).
% 7.72/5.30 tff(301,plain,
% 7.72/5.30 (![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))),
% 7.72/5.30 inference(modus_ponens,[status(thm)],[300, 296])).
% 7.72/5.30 tff(302,plain,
% 7.72/5.30 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB198) <=> (v1(constB198) | v6(constB198)))),
% 7.72/5.30 inference(quant_inst,[status(thm)],[])).
% 7.72/5.30 tff(303,plain,
% 7.72/5.30 (v22(constB198) <=> (v1(constB198) | v6(constB198))),
% 7.72/5.30 inference(unit_resolution,[status(thm)],[302, 301])).
% 7.72/5.30 tff(304,plain,
% 7.72/5.30 ((v1(constB198) | v6(constB198)) | (~v1(constB198))),
% 7.72/5.30 inference(tautology,[status(thm)],[])).
% 7.72/5.30 tff(305,plain,
% 7.72/5.30 (v1(constB198) | v6(constB198)),
% 7.72/5.30 inference(unit_resolution,[status(thm)],[304, 144])).
% 7.72/5.30 tff(306,plain,
% 7.72/5.30 ((~(v22(constB198) <=> (v1(constB198) | v6(constB198)))) | v22(constB198) | (~(v1(constB198) | v6(constB198)))),
% 7.72/5.30 inference(tautology,[status(thm)],[])).
% 7.72/5.30 tff(307,plain,
% 7.72/5.30 ((~(v22(constB198) <=> (v1(constB198) | v6(constB198)))) | v22(constB198)),
% 7.72/5.30 inference(unit_resolution,[status(thm)],[306, 305])).
% 7.72/5.30 tff(308,plain,
% 7.72/5.30 (v22(constB198)),
% 7.72/5.30 inference(unit_resolution,[status(thm)],[307, 303])).
% 7.72/5.30 tff(309,plain,
% 7.72/5.30 ((~((~v19(constB198)) | (~v22(constB198)))) | (~v19(constB198)) | (~v22(constB198))),
% 7.72/5.30 inference(tautology,[status(thm)],[])).
% 7.72/5.30 tff(310,plain,
% 7.72/5.30 ((~((~v19(constB198)) | (~v22(constB198)))) | (~v19(constB198))),
% 7.72/5.30 inference(unit_resolution,[status(thm)],[309, 308])).
% 7.72/5.30 tff(311,plain,
% 7.72/5.30 (~v19(constB198)),
% 7.72/5.30 inference(unit_resolution,[status(thm)],[310, 294])).
% 7.72/5.30 tff(312,plain,
% 7.72/5.30 ((~(v19(constB198) <=> (v20(constB198) | v21(constB198)))) | v19(constB198) | (~(v20(constB198) | v21(constB198)))),
% 7.72/5.30 inference(tautology,[status(thm)],[])).
% 7.72/5.30 tff(313,plain,
% 7.72/5.30 (~(v20(constB198) | v21(constB198))),
% 7.72/5.30 inference(unit_resolution,[status(thm)],[312, 311, 260])).
% 7.72/5.30 tff(314,plain,
% 7.72/5.30 ((v20(constB198) | v21(constB198)) | (~v21(constB198))),
% 7.72/5.30 inference(tautology,[status(thm)],[])).
% 7.72/5.30 tff(315,plain,
% 7.72/5.30 (~v21(constB198)),
% 7.72/5.30 inference(unit_resolution,[status(thm)],[314, 313])).
% 7.72/5.30 tff(316,plain,
% 7.72/5.30 ((~((~v21(constB198)) <=> v6(constB198))) | v21(constB198) | v6(constB198)),
% 7.72/5.30 inference(tautology,[status(thm)],[])).
% 7.72/5.30 tff(317,plain,
% 7.72/5.30 (v6(constB198)),
% 7.72/5.30 inference(unit_resolution,[status(thm)],[316, 315, 251])).
% 7.72/5.30 tff(318,plain,
% 7.72/5.30 ((~(v6(constB198) <=> v13(constB198))) | (~v6(constB198)) | v13(constB198)),
% 7.72/5.30 inference(tautology,[status(thm)],[])).
% 7.72/5.30 tff(319,plain,
% 7.72/5.30 (v13(constB198)),
% 7.72/5.30 inference(unit_resolution,[status(thm)],[318, 317, 242])).
% 7.72/5.30 tff(320,plain,
% 7.72/5.30 ((~(v13(constB198) <=> v9(constB197))) | (~v13(constB198)) | v9(constB197)),
% 7.72/5.30 inference(tautology,[status(thm)],[])).
% 7.72/5.30 tff(321,plain,
% 7.72/5.30 (v9(constB197)),
% 7.72/5.30 inference(unit_resolution,[status(thm)],[320, 319, 230])).
% 7.72/5.30 tff(322,plain,
% 7.72/5.30 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB197)) <=> v1(constB197))),
% 7.72/5.30 inference(quant_inst,[status(thm)],[])).
% 7.72/5.30 tff(323,plain,
% 7.72/5.30 ((~v39(constB197)) <=> v1(constB197)),
% 7.72/5.30 inference(unit_resolution,[status(thm)],[322, 139])).
% 7.72/5.30 tff(324,plain,
% 7.72/5.30 ((~v1(constB197)) <=> (~v1(constB197))),
% 7.72/5.30 inference(rewrite,[status(thm)],[])).
% 7.72/5.30 tff(325,axiom,(~v1(constB197)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_197')).
% 7.72/5.30 tff(326,plain,
% 7.72/5.30 (~v1(constB197)),
% 7.72/5.30 inference(modus_ponens,[status(thm)],[325, 324])).
% 7.72/5.30 tff(327,plain,
% 7.72/5.30 ((~((~v39(constB197)) <=> v1(constB197))) | v39(constB197) | v1(constB197)),
% 7.72/5.30 inference(tautology,[status(thm)],[])).
% 7.72/5.30 tff(328,plain,
% 7.72/5.30 ((~((~v39(constB197)) <=> v1(constB197))) | v39(constB197)),
% 7.72/5.30 inference(unit_resolution,[status(thm)],[327, 326])).
% 7.72/5.30 tff(329,plain,
% 7.72/5.30 (v39(constB197)),
% 7.72/5.30 inference(unit_resolution,[status(thm)],[328, 323])).
% 7.72/5.30 tff(330,plain,
% 7.72/5.30 ((~((~v39(constB197)) | (~v9(constB197)))) | (~v39(constB197)) | (~v9(constB197))),
% 7.72/5.30 inference(tautology,[status(thm)],[])).
% 7.72/5.30 tff(331,plain,
% 7.72/5.30 ((~((~v39(constB197)) | (~v9(constB197)))) | (~v9(constB197))),
% 7.72/5.30 inference(unit_resolution,[status(thm)],[330, 329])).
% 7.72/5.30 tff(332,plain,
% 7.72/5.30 (~((~v39(constB197)) | (~v9(constB197)))),
% 7.72/5.30 inference(unit_resolution,[status(thm)],[331, 321])).
% 7.72/5.30 tff(333,plain,
% 7.72/5.30 ((~(v141(constB197) <=> (~((~v39(constB197)) | (~v9(constB197)))))) | v141(constB197) | ((~v39(constB197)) | (~v9(constB197)))),
% 7.72/5.30 inference(tautology,[status(thm)],[])).
% 7.72/5.30 tff(334,plain,
% 7.72/5.30 (v141(constB197)),
% 7.72/5.30 inference(unit_resolution,[status(thm)],[333, 332, 216])).
% 7.72/5.30 tff(335,plain,
% 7.72/5.30 ((v141(constB197) | v26(constB197)) | (~v141(constB197))),
% 7.72/5.30 inference(tautology,[status(thm)],[])).
% 7.72/5.30 tff(336,plain,
% 7.72/5.30 (v141(constB197) | v26(constB197)),
% 7.72/5.30 inference(unit_resolution,[status(thm)],[335, 334])).
% 7.72/5.30 tff(337,plain,
% 7.72/5.30 ((~(v140(constB197) <=> (v141(constB197) | v26(constB197)))) | v140(constB197) | (~(v141(constB197) | v26(constB197)))),
% 7.72/5.30 inference(tautology,[status(thm)],[])).
% 7.72/5.30 tff(338,plain,
% 7.72/5.30 (v140(constB197)),
% 7.72/5.30 inference(unit_resolution,[status(thm)],[337, 336, 214])).
% 7.72/5.30 tff(339,plain,
% 7.72/5.30 ((~((~v139(constB197)) <=> v140(constB197))) | (~v139(constB197)) | (~v140(constB197))),
% 7.72/5.30 inference(tautology,[status(thm)],[])).
% 7.72/5.30 tff(340,plain,
% 7.72/5.30 (~v139(constB197)),
% 7.72/5.30 inference(unit_resolution,[status(thm)],[339, 338, 205])).
% 7.72/5.30 tff(341,plain,
% 7.72/5.30 (((~v128(constB197)) | (~v139(constB197))) | v139(constB197)),
% 7.72/5.30 inference(tautology,[status(thm)],[])).
% 7.72/5.30 tff(342,plain,
% 7.72/5.30 ((~v128(constB197)) | (~v139(constB197))),
% 7.72/5.30 inference(unit_resolution,[status(thm)],[341, 340])).
% 7.72/5.30 tff(343,plain,
% 7.72/5.30 ((~(v163(constB197) <=> (~((~v128(constB197)) | (~v139(constB197)))))) | (~v163(constB197)) | (~((~v128(constB197)) | (~v139(constB197))))),
% 7.72/5.30 inference(tautology,[status(thm)],[])).
% 7.72/5.30 tff(344,plain,
% 7.72/5.30 (~v163(constB197)),
% 7.72/5.30 inference(unit_resolution,[status(thm)],[343, 342, 196])).
% 7.72/5.30 tff(345,plain,
% 7.72/5.30 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB197) <=> (~((~v130(constB197)) | (~v154(constB197)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB197) <=> (~((~v130(constB197)) | (~v154(constB197))))))),
% 7.72/5.30 inference(rewrite,[status(thm)],[])).
% 7.72/5.30 tff(346,plain,
% 7.72/5.30 ((v164(constB197) <=> (~((~v154(constB197)) | (~v130(constB197))))) <=> (v164(constB197) <=> (~((~v130(constB197)) | (~v154(constB197)))))),
% 7.72/5.30 inference(rewrite,[status(thm)],[])).
% 7.72/5.30 tff(347,plain,
% 7.72/5.30 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB197) <=> (~((~v154(constB197)) | (~v130(constB197)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB197) <=> (~((~v130(constB197)) | (~v154(constB197))))))),
% 7.72/5.30 inference(monotonicity,[status(thm)],[346])).
% 7.72/5.30 tff(348,plain,
% 7.72/5.30 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB197) <=> (~((~v154(constB197)) | (~v130(constB197)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB197) <=> (~((~v130(constB197)) | (~v154(constB197))))))),
% 7.72/5.30 inference(transitivity,[status(thm)],[347, 345])).
% 7.72/5.30 tff(349,plain,
% 7.72/5.30 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB197) <=> (~((~v154(constB197)) | (~v130(constB197)))))),
% 7.72/5.30 inference(quant_inst,[status(thm)],[])).
% 7.72/5.30 tff(350,plain,
% 7.72/5.30 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB197) <=> (~((~v130(constB197)) | (~v154(constB197)))))),
% 7.72/5.30 inference(modus_ponens,[status(thm)],[349, 348])).
% 7.72/5.30 tff(351,plain,
% 7.72/5.30 (v164(constB197) <=> (~((~v130(constB197)) | (~v154(constB197))))),
% 7.72/5.30 inference(unit_resolution,[status(thm)],[350, 96])).
% 7.72/5.30 tff(352,plain,
% 7.72/5.30 (^[VarNext: $i] : refl((v130(VarNext) <=> v152(VarNext)) <=> (v130(VarNext) <=> v152(VarNext)))),
% 7.72/5.30 inference(bind,[status(th)],[])).
% 7.72/5.30 tff(353,plain,
% 7.72/5.30 (![VarNext: $i] : (v130(VarNext) <=> v152(VarNext)) <=> ![VarNext: $i] : (v130(VarNext) <=> v152(VarNext))),
% 7.72/5.30 inference(quant_intro,[status(thm)],[352])).
% 7.72/5.30 tff(354,plain,
% 7.72/5.30 (![VarNext: $i] : (v130(VarNext) <=> v152(VarNext)) <=> ![VarNext: $i] : (v130(VarNext) <=> v152(VarNext))),
% 7.72/5.30 inference(rewrite,[status(thm)],[])).
% 7.72/5.30 tff(355,plain,
% 7.72/5.30 (^[VarNext: $i] : rewrite(($true => (v130(VarNext) <=> v152(VarNext))) <=> (v130(VarNext) <=> v152(VarNext)))),
% 7.72/5.30 inference(bind,[status(th)],[])).
% 7.72/5.30 tff(356,plain,
% 7.72/5.30 (![VarNext: $i] : ($true => (v130(VarNext) <=> v152(VarNext))) <=> ![VarNext: $i] : (v130(VarNext) <=> v152(VarNext))),
% 7.72/5.30 inference(quant_intro,[status(thm)],[355])).
% 7.72/5.30 tff(357,axiom,(![VarNext: $i] : ($true => (v130(VarNext) <=> v152(VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch_5')).
% 7.72/5.30 tff(358,plain,
% 7.72/5.30 (![VarNext: $i] : (v130(VarNext) <=> v152(VarNext))),
% 7.72/5.30 inference(modus_ponens,[status(thm)],[357, 356])).
% 7.72/5.30 tff(359,plain,
% 7.72/5.30 (![VarNext: $i] : (v130(VarNext) <=> v152(VarNext))),
% 7.72/5.30 inference(modus_ponens,[status(thm)],[358, 354])).
% 7.72/5.30 tff(360,plain,(
% 7.72/5.30 ![VarNext: $i] : (v130(VarNext) <=> v152(VarNext))),
% 7.72/5.30 inference(skolemize,[status(sab)],[359])).
% 7.72/5.30 tff(361,plain,
% 7.72/5.30 (![VarNext: $i] : (v130(VarNext) <=> v152(VarNext))),
% 7.72/5.30 inference(modus_ponens,[status(thm)],[360, 353])).
% 7.72/5.30 tff(362,plain,
% 7.72/5.30 ((~![VarNext: $i] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB197) <=> v152(constB197))),
% 7.72/5.30 inference(quant_inst,[status(thm)],[])).
% 7.72/5.30 tff(363,plain,
% 7.72/5.30 (v130(constB197) <=> v152(constB197)),
% 7.72/5.30 inference(unit_resolution,[status(thm)],[362, 361])).
% 7.72/5.30 tff(364,plain,
% 7.72/5.30 (^[VarCurr: $i, VarNext: $i] : refl(((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr))))),
% 7.72/5.30 inference(bind,[status(th)],[])).
% 7.72/5.30 tff(365,plain,
% 7.72/5.30 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))),
% 7.72/5.30 inference(quant_intro,[status(thm)],[364])).
% 7.72/5.30 tff(366,plain,
% 7.72/5.30 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))),
% 7.72/5.30 inference(rewrite,[status(thm)],[])).
% 7.72/5.30 tff(367,plain,
% 7.72/5.30 (^[VarCurr: $i, VarNext: $i] : rewrite((nextState(VarCurr, VarNext) => (v152(VarNext) <=> v150(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr))))),
% 7.72/5.30 inference(bind,[status(th)],[])).
% 7.72/5.30 tff(368,plain,
% 7.72/5.30 (![VarCurr: $i, VarNext: $i] : (nextState(VarCurr, VarNext) => (v152(VarNext) <=> v150(VarCurr))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))),
% 7.72/5.30 inference(quant_intro,[status(thm)],[367])).
% 7.72/5.30 tff(369,axiom,(![VarCurr: $i, VarNext: $i] : (nextState(VarCurr, VarNext) => (v152(VarNext) <=> v150(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_9')).
% 7.72/5.30 tff(370,plain,
% 7.72/5.30 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))),
% 7.72/5.30 inference(modus_ponens,[status(thm)],[369, 368])).
% 7.72/5.30 tff(371,plain,
% 7.72/5.30 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))),
% 7.72/5.30 inference(modus_ponens,[status(thm)],[370, 366])).
% 7.72/5.30 tff(372,plain,(
% 7.72/5.30 ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))),
% 7.72/5.30 inference(skolemize,[status(sab)],[371])).
% 7.72/5.30 tff(373,plain,
% 7.72/5.30 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))),
% 7.72/5.30 inference(modus_ponens,[status(thm)],[372, 365])).
% 7.72/5.30 tff(374,plain,
% 7.72/5.30 (nextState(constB196, constB197) <=> nextState(constB196, constB197)),
% 7.72/5.30 inference(rewrite,[status(thm)],[])).
% 7.72/5.30 tff(375,axiom,(nextState(constB196, constB197)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_196')).
% 7.72/5.30 tff(376,plain,
% 7.72/5.30 (nextState(constB196, constB197)),
% 7.72/5.30 inference(modus_ponens,[status(thm)],[375, 374])).
% 7.72/5.30 tff(377,plain,
% 7.72/5.30 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB196, constB197)) | (v152(constB197) <=> v150(constB196)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB196, constB197)) | (v152(constB197) <=> v150(constB196)))),
% 7.72/5.30 inference(rewrite,[status(thm)],[])).
% 7.72/5.30 tff(378,plain,
% 7.72/5.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB196, constB197)) | (v152(constB197) <=> v150(constB196)))),
% 7.72/5.30 inference(quant_inst,[status(thm)],[])).
% 7.72/5.30 tff(379,plain,
% 7.72/5.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB196, constB197)) | (v152(constB197) <=> v150(constB196))),
% 7.72/5.30 inference(modus_ponens,[status(thm)],[378, 377])).
% 7.72/5.30 tff(380,plain,
% 7.72/5.30 (v152(constB197) <=> v150(constB196)),
% 7.72/5.30 inference(unit_resolution,[status(thm)],[379, 376, 373])).
% 7.72/5.30 tff(381,plain,
% 7.72/5.30 (^[VarCurr: $i] : refl((v150(VarCurr) <=> (v153(VarCurr) | v155(VarCurr))) <=> (v150(VarCurr) <=> (v153(VarCurr) | v155(VarCurr))))),
% 7.72/5.30 inference(bind,[status(th)],[])).
% 7.72/5.30 tff(382,plain,
% 7.72/5.30 (![VarCurr: $i] : (v150(VarCurr) <=> (v153(VarCurr) | v155(VarCurr))) <=> ![VarCurr: $i] : (v150(VarCurr) <=> (v153(VarCurr) | v155(VarCurr)))),
% 7.72/5.30 inference(quant_intro,[status(thm)],[381])).
% 7.72/5.30 tff(383,plain,
% 7.72/5.30 (![VarCurr: $i] : (v150(VarCurr) <=> (v153(VarCurr) | v155(VarCurr))) <=> ![VarCurr: $i] : (v150(VarCurr) <=> (v153(VarCurr) | v155(VarCurr)))),
% 7.72/5.30 inference(rewrite,[status(thm)],[])).
% 7.72/5.30 tff(384,axiom,(![VarCurr: $i] : (v150(VarCurr) <=> (v153(VarCurr) | v155(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_37')).
% 7.72/5.30 tff(385,plain,
% 7.72/5.30 (![VarCurr: $i] : (v150(VarCurr) <=> (v153(VarCurr) | v155(VarCurr)))),
% 7.72/5.30 inference(modus_ponens,[status(thm)],[384, 383])).
% 7.72/5.30 tff(386,plain,(
% 7.72/5.30 ![VarCurr: $i] : (v150(VarCurr) <=> (v153(VarCurr) | v155(VarCurr)))),
% 7.72/5.30 inference(skolemize,[status(sab)],[385])).
% 7.72/5.30 tff(387,plain,
% 7.72/5.30 (![VarCurr: $i] : (v150(VarCurr) <=> (v153(VarCurr) | v155(VarCurr)))),
% 7.72/5.30 inference(modus_ponens,[status(thm)],[386, 382])).
% 7.72/5.30 tff(388,plain,
% 7.72/5.30 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v153(VarCurr) | v155(VarCurr)))) | (v150(constB196) <=> (v153(constB196) | v155(constB196)))),
% 7.72/5.30 inference(quant_inst,[status(thm)],[])).
% 7.72/5.30 tff(389,plain,
% 7.72/5.30 (v150(constB196) <=> (v153(constB196) | v155(constB196))),
% 7.72/5.30 inference(unit_resolution,[status(thm)],[388, 387])).
% 7.72/5.30 tff(390,plain,
% 7.72/5.30 (^[VarCurr: $i] : refl((v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr))))) <=> (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr))))))),
% 7.72/5.30 inference(bind,[status(th)],[])).
% 7.72/5.30 tff(391,plain,
% 7.72/5.30 (![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr))))) <=> ![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))),
% 7.72/5.30 inference(quant_intro,[status(thm)],[390])).
% 7.72/5.30 tff(392,plain,
% 7.72/5.30 (^[VarCurr: $i] : rewrite((v153(VarCurr) <=> (v154(VarCurr) & v132(VarCurr))) <=> (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr))))))),
% 7.72/5.30 inference(bind,[status(th)],[])).
% 7.72/5.30 tff(393,plain,
% 7.72/5.30 (![VarCurr: $i] : (v153(VarCurr) <=> (v154(VarCurr) & v132(VarCurr))) <=> ![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))),
% 7.72/5.30 inference(quant_intro,[status(thm)],[392])).
% 7.72/5.30 tff(394,plain,
% 7.72/5.30 (![VarCurr: $i] : (v153(VarCurr) <=> (v154(VarCurr) & v132(VarCurr))) <=> ![VarCurr: $i] : (v153(VarCurr) <=> (v154(VarCurr) & v132(VarCurr)))),
% 7.72/5.30 inference(rewrite,[status(thm)],[])).
% 7.72/5.30 tff(395,axiom,(![VarCurr: $i] : (v153(VarCurr) <=> (v154(VarCurr) & v132(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_35')).
% 7.72/5.30 tff(396,plain,
% 7.72/5.30 (![VarCurr: $i] : (v153(VarCurr) <=> (v154(VarCurr) & v132(VarCurr)))),
% 7.72/5.30 inference(modus_ponens,[status(thm)],[395, 394])).
% 7.72/5.30 tff(397,plain,(
% 7.72/5.30 ![VarCurr: $i] : (v153(VarCurr) <=> (v154(VarCurr) & v132(VarCurr)))),
% 7.72/5.30 inference(skolemize,[status(sab)],[396])).
% 7.72/5.30 tff(398,plain,
% 7.72/5.30 (![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))),
% 7.72/5.30 inference(modus_ponens,[status(thm)],[397, 393])).
% 7.72/5.30 tff(399,plain,
% 7.72/5.30 (![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))),
% 7.72/5.30 inference(modus_ponens,[status(thm)],[398, 391])).
% 7.72/5.30 tff(400,plain,
% 7.72/5.31 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB196) <=> (~((~v132(constB196)) | (~v154(constB196)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB196) <=> (~((~v132(constB196)) | (~v154(constB196))))))),
% 7.72/5.31 inference(rewrite,[status(thm)],[])).
% 7.72/5.31 tff(401,plain,
% 7.72/5.31 ((v153(constB196) <=> (~((~v154(constB196)) | (~v132(constB196))))) <=> (v153(constB196) <=> (~((~v132(constB196)) | (~v154(constB196)))))),
% 7.72/5.31 inference(rewrite,[status(thm)],[])).
% 7.72/5.31 tff(402,plain,
% 7.72/5.31 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB196) <=> (~((~v154(constB196)) | (~v132(constB196)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB196) <=> (~((~v132(constB196)) | (~v154(constB196))))))),
% 7.72/5.31 inference(monotonicity,[status(thm)],[401])).
% 7.72/5.31 tff(403,plain,
% 7.72/5.31 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB196) <=> (~((~v154(constB196)) | (~v132(constB196)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB196) <=> (~((~v132(constB196)) | (~v154(constB196))))))),
% 7.72/5.31 inference(transitivity,[status(thm)],[402, 400])).
% 7.72/5.31 tff(404,plain,
% 7.72/5.31 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB196) <=> (~((~v154(constB196)) | (~v132(constB196)))))),
% 7.72/5.31 inference(quant_inst,[status(thm)],[])).
% 7.72/5.31 tff(405,plain,
% 7.72/5.31 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB196) <=> (~((~v132(constB196)) | (~v154(constB196)))))),
% 7.72/5.31 inference(modus_ponens,[status(thm)],[404, 403])).
% 7.72/5.31 tff(406,plain,
% 7.72/5.31 (v153(constB196) <=> (~((~v132(constB196)) | (~v154(constB196))))),
% 7.72/5.31 inference(unit_resolution,[status(thm)],[405, 399])).
% 7.72/5.31 tff(407,plain,
% 7.72/5.31 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB196) <=> (~((~v141(constB196)) | (~v143(constB196)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB196) <=> (~((~v141(constB196)) | (~v143(constB196))))))),
% 7.72/5.31 inference(rewrite,[status(thm)],[])).
% 7.72/5.31 tff(408,plain,
% 7.72/5.31 ((v154(constB196) <=> (~((~v143(constB196)) | (~v141(constB196))))) <=> (v154(constB196) <=> (~((~v141(constB196)) | (~v143(constB196)))))),
% 7.72/5.31 inference(rewrite,[status(thm)],[])).
% 7.72/5.31 tff(409,plain,
% 7.72/5.31 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB196) <=> (~((~v143(constB196)) | (~v141(constB196)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB196) <=> (~((~v141(constB196)) | (~v143(constB196))))))),
% 7.72/5.31 inference(monotonicity,[status(thm)],[408])).
% 7.72/5.31 tff(410,plain,
% 7.72/5.31 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB196) <=> (~((~v143(constB196)) | (~v141(constB196)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB196) <=> (~((~v141(constB196)) | (~v143(constB196))))))),
% 7.72/5.31 inference(transitivity,[status(thm)],[409, 407])).
% 7.72/5.31 tff(411,plain,
% 7.72/5.31 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB196) <=> (~((~v143(constB196)) | (~v141(constB196)))))),
% 7.72/5.31 inference(quant_inst,[status(thm)],[])).
% 7.72/5.31 tff(412,plain,
% 7.72/5.31 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB196) <=> (~((~v141(constB196)) | (~v143(constB196)))))),
% 7.72/5.31 inference(modus_ponens,[status(thm)],[411, 410])).
% 7.72/5.31 tff(413,plain,
% 7.72/5.31 (v154(constB196) <=> (~((~v141(constB196)) | (~v143(constB196))))),
% 7.72/5.31 inference(unit_resolution,[status(thm)],[412, 113])).
% 7.72/5.31 tff(414,plain,
% 7.72/5.31 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB196) <=> (~((~v39(constB196)) | (~v9(constB196)))))),
% 7.72/5.31 inference(quant_inst,[status(thm)],[])).
% 7.72/5.31 tff(415,plain,
% 7.72/5.31 (v141(constB196) <=> (~((~v39(constB196)) | (~v9(constB196))))),
% 7.72/5.31 inference(unit_resolution,[status(thm)],[414, 130])).
% 7.72/5.31 tff(416,plain,
% 7.72/5.31 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB196)) <=> v1(constB196))),
% 7.72/5.31 inference(quant_inst,[status(thm)],[])).
% 7.72/5.31 tff(417,plain,
% 7.72/5.31 ((~v39(constB196)) <=> v1(constB196)),
% 7.72/5.31 inference(unit_resolution,[status(thm)],[416, 139])).
% 7.72/5.31 tff(418,plain,
% 7.72/5.31 (v1(constB196) <=> v1(constB196)),
% 7.72/5.31 inference(rewrite,[status(thm)],[])).
% 7.72/5.31 tff(419,axiom,(v1(constB196)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_196')).
% 7.72/5.31 tff(420,plain,
% 7.72/5.31 (v1(constB196)),
% 7.72/5.31 inference(modus_ponens,[status(thm)],[419, 418])).
% 7.72/5.31 tff(421,plain,
% 7.72/5.31 ((~((~v39(constB196)) <=> v1(constB196))) | (~v39(constB196)) | (~v1(constB196))),
% 7.72/5.31 inference(tautology,[status(thm)],[])).
% 7.72/5.31 tff(422,plain,
% 7.72/5.31 ((~((~v39(constB196)) <=> v1(constB196))) | (~v39(constB196))),
% 7.72/5.31 inference(unit_resolution,[status(thm)],[421, 420])).
% 7.72/5.31 tff(423,plain,
% 7.72/5.31 (~v39(constB196)),
% 7.72/5.31 inference(unit_resolution,[status(thm)],[422, 417])).
% 7.72/5.31 tff(424,plain,
% 7.72/5.31 (((~v39(constB196)) | (~v9(constB196))) | v39(constB196)),
% 7.72/5.31 inference(tautology,[status(thm)],[])).
% 7.72/5.31 tff(425,plain,
% 7.72/5.31 ((~v39(constB196)) | (~v9(constB196))),
% 7.72/5.31 inference(unit_resolution,[status(thm)],[424, 423])).
% 7.72/5.31 tff(426,plain,
% 7.72/5.31 ((~(v141(constB196) <=> (~((~v39(constB196)) | (~v9(constB196)))))) | (~v141(constB196)) | (~((~v39(constB196)) | (~v9(constB196))))),
% 7.72/5.31 inference(tautology,[status(thm)],[])).
% 7.72/5.31 tff(427,plain,
% 7.72/5.31 ((~(v141(constB196) <=> (~((~v39(constB196)) | (~v9(constB196)))))) | (~v141(constB196))),
% 7.72/5.31 inference(unit_resolution,[status(thm)],[426, 425])).
% 7.72/5.31 tff(428,plain,
% 7.72/5.31 (~v141(constB196)),
% 7.72/5.31 inference(unit_resolution,[status(thm)],[427, 415])).
% 7.72/5.31 tff(429,plain,
% 7.72/5.31 (((~v141(constB196)) | (~v143(constB196))) | v141(constB196)),
% 7.72/5.31 inference(tautology,[status(thm)],[])).
% 7.72/5.31 tff(430,plain,
% 7.72/5.31 ((~v141(constB196)) | (~v143(constB196))),
% 7.72/5.31 inference(unit_resolution,[status(thm)],[429, 428])).
% 7.72/5.31 tff(431,plain,
% 7.72/5.31 ((~(v154(constB196) <=> (~((~v141(constB196)) | (~v143(constB196)))))) | (~v154(constB196)) | (~((~v141(constB196)) | (~v143(constB196))))),
% 7.72/5.31 inference(tautology,[status(thm)],[])).
% 7.72/5.31 tff(432,plain,
% 7.72/5.31 ((~(v154(constB196) <=> (~((~v141(constB196)) | (~v143(constB196)))))) | (~v154(constB196))),
% 7.72/5.31 inference(unit_resolution,[status(thm)],[431, 430])).
% 7.72/5.31 tff(433,plain,
% 7.72/5.31 (~v154(constB196)),
% 7.72/5.31 inference(unit_resolution,[status(thm)],[432, 413])).
% 7.72/5.31 tff(434,plain,
% 7.72/5.31 (((~v132(constB196)) | (~v154(constB196))) | v154(constB196)),
% 7.72/5.31 inference(tautology,[status(thm)],[])).
% 7.72/5.31 tff(435,plain,
% 7.72/5.31 ((~v132(constB196)) | (~v154(constB196))),
% 7.72/5.31 inference(unit_resolution,[status(thm)],[434, 433])).
% 7.72/5.31 tff(436,plain,
% 7.72/5.31 ((~(v153(constB196) <=> (~((~v132(constB196)) | (~v154(constB196)))))) | (~v153(constB196)) | (~((~v132(constB196)) | (~v154(constB196))))),
% 7.72/5.31 inference(tautology,[status(thm)],[])).
% 7.72/5.31 tff(437,plain,
% 7.72/5.31 (~v153(constB196)),
% 7.72/5.31 inference(unit_resolution,[status(thm)],[436, 435, 406])).
% 7.72/5.31 tff(438,plain,
% 7.72/5.31 (^[VarCurr: $i] : refl((v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr))))) <=> (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr))))))),
% 7.72/5.31 inference(bind,[status(th)],[])).
% 7.72/5.31 tff(439,plain,
% 7.72/5.31 (![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr))))) <=> ![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))),
% 7.72/5.31 inference(quant_intro,[status(thm)],[438])).
% 7.72/5.31 tff(440,plain,
% 7.72/5.31 (^[VarCurr: $i] : rewrite((v155(VarCurr) <=> (v139(VarCurr) & v130(VarCurr))) <=> (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr))))))),
% 7.72/5.31 inference(bind,[status(th)],[])).
% 7.72/5.31 tff(441,plain,
% 7.72/5.31 (![VarCurr: $i] : (v155(VarCurr) <=> (v139(VarCurr) & v130(VarCurr))) <=> ![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))),
% 7.72/5.31 inference(quant_intro,[status(thm)],[440])).
% 7.72/5.31 tff(442,plain,
% 7.72/5.31 (![VarCurr: $i] : (v155(VarCurr) <=> (v139(VarCurr) & v130(VarCurr))) <=> ![VarCurr: $i] : (v155(VarCurr) <=> (v139(VarCurr) & v130(VarCurr)))),
% 7.72/5.31 inference(rewrite,[status(thm)],[])).
% 7.72/5.31 tff(443,axiom,(![VarCurr: $i] : (v155(VarCurr) <=> (v139(VarCurr) & v130(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_36')).
% 7.72/5.31 tff(444,plain,
% 7.72/5.31 (![VarCurr: $i] : (v155(VarCurr) <=> (v139(VarCurr) & v130(VarCurr)))),
% 7.72/5.31 inference(modus_ponens,[status(thm)],[443, 442])).
% 7.72/5.31 tff(445,plain,(
% 7.72/5.31 ![VarCurr: $i] : (v155(VarCurr) <=> (v139(VarCurr) & v130(VarCurr)))),
% 7.72/5.31 inference(skolemize,[status(sab)],[444])).
% 7.72/5.31 tff(446,plain,
% 7.72/5.31 (![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))),
% 7.72/5.31 inference(modus_ponens,[status(thm)],[445, 441])).
% 7.72/5.31 tff(447,plain,
% 7.72/5.31 (![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))),
% 7.72/5.31 inference(modus_ponens,[status(thm)],[446, 439])).
% 7.72/5.31 tff(448,plain,
% 7.72/5.31 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB196) <=> (~((~v130(constB196)) | (~v139(constB196)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB196) <=> (~((~v130(constB196)) | (~v139(constB196))))))),
% 7.72/5.31 inference(rewrite,[status(thm)],[])).
% 7.72/5.31 tff(449,plain,
% 7.72/5.31 ((v155(constB196) <=> (~((~v139(constB196)) | (~v130(constB196))))) <=> (v155(constB196) <=> (~((~v130(constB196)) | (~v139(constB196)))))),
% 7.72/5.31 inference(rewrite,[status(thm)],[])).
% 7.72/5.31 tff(450,plain,
% 7.72/5.31 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB196) <=> (~((~v139(constB196)) | (~v130(constB196)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB196) <=> (~((~v130(constB196)) | (~v139(constB196))))))),
% 7.72/5.31 inference(monotonicity,[status(thm)],[449])).
% 7.72/5.31 tff(451,plain,
% 7.72/5.31 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB196) <=> (~((~v139(constB196)) | (~v130(constB196)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB196) <=> (~((~v130(constB196)) | (~v139(constB196))))))),
% 7.72/5.31 inference(transitivity,[status(thm)],[450, 448])).
% 7.72/5.31 tff(452,plain,
% 7.72/5.31 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB196) <=> (~((~v139(constB196)) | (~v130(constB196)))))),
% 7.72/5.31 inference(quant_inst,[status(thm)],[])).
% 7.72/5.31 tff(453,plain,
% 7.72/5.31 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB196) <=> (~((~v130(constB196)) | (~v139(constB196)))))),
% 7.72/5.31 inference(modus_ponens,[status(thm)],[452, 451])).
% 7.72/5.31 tff(454,plain,
% 7.72/5.31 (v155(constB196) <=> (~((~v130(constB196)) | (~v139(constB196))))),
% 7.72/5.31 inference(unit_resolution,[status(thm)],[453, 447])).
% 7.72/5.31 tff(455,plain,
% 7.72/5.31 ((~![VarNext: $i] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB196) <=> v152(constB196))),
% 7.72/5.31 inference(quant_inst,[status(thm)],[])).
% 7.72/5.31 tff(456,plain,
% 7.72/5.31 (v130(constB196) <=> v152(constB196)),
% 7.72/5.31 inference(unit_resolution,[status(thm)],[455, 361])).
% 7.72/5.31 tff(457,plain,
% 7.72/5.31 (nextState(constB195, constB196) <=> nextState(constB195, constB196)),
% 7.72/5.31 inference(rewrite,[status(thm)],[])).
% 7.72/5.31 tff(458,axiom,(nextState(constB195, constB196)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_195')).
% 7.72/5.31 tff(459,plain,
% 7.72/5.31 (nextState(constB195, constB196)),
% 7.72/5.31 inference(modus_ponens,[status(thm)],[458, 457])).
% 7.72/5.31 tff(460,plain,
% 7.72/5.31 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB195, constB196)) | (v152(constB196) <=> v150(constB195)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB195, constB196)) | (v152(constB196) <=> v150(constB195)))),
% 7.72/5.31 inference(rewrite,[status(thm)],[])).
% 7.72/5.31 tff(461,plain,
% 7.72/5.31 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB195, constB196)) | (v152(constB196) <=> v150(constB195)))),
% 7.72/5.31 inference(quant_inst,[status(thm)],[])).
% 7.72/5.31 tff(462,plain,
% 7.72/5.31 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB195, constB196)) | (v152(constB196) <=> v150(constB195))),
% 7.72/5.31 inference(modus_ponens,[status(thm)],[461, 460])).
% 7.72/5.31 tff(463,plain,
% 7.72/5.31 (v152(constB196) <=> v150(constB195)),
% 7.72/5.31 inference(unit_resolution,[status(thm)],[462, 459, 373])).
% 7.72/5.31 tff(464,plain,
% 7.72/5.31 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v153(VarCurr) | v155(VarCurr)))) | (v150(constB195) <=> (v153(constB195) | v155(constB195)))),
% 7.72/5.31 inference(quant_inst,[status(thm)],[])).
% 7.72/5.31 tff(465,plain,
% 7.72/5.31 (v150(constB195) <=> (v153(constB195) | v155(constB195))),
% 7.72/5.31 inference(unit_resolution,[status(thm)],[464, 387])).
% 7.72/5.31 tff(466,plain,
% 7.72/5.31 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB195) <=> (~((~v130(constB195)) | (~v139(constB195)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB195) <=> (~((~v130(constB195)) | (~v139(constB195))))))),
% 7.72/5.31 inference(rewrite,[status(thm)],[])).
% 7.72/5.31 tff(467,plain,
% 7.72/5.31 ((v155(constB195) <=> (~((~v139(constB195)) | (~v130(constB195))))) <=> (v155(constB195) <=> (~((~v130(constB195)) | (~v139(constB195)))))),
% 7.72/5.31 inference(rewrite,[status(thm)],[])).
% 7.72/5.31 tff(468,plain,
% 7.72/5.31 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB195) <=> (~((~v139(constB195)) | (~v130(constB195)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB195) <=> (~((~v130(constB195)) | (~v139(constB195))))))),
% 7.72/5.31 inference(monotonicity,[status(thm)],[467])).
% 7.72/5.31 tff(469,plain,
% 7.72/5.31 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB195) <=> (~((~v139(constB195)) | (~v130(constB195)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB195) <=> (~((~v130(constB195)) | (~v139(constB195))))))),
% 7.72/5.31 inference(transitivity,[status(thm)],[468, 466])).
% 7.72/5.31 tff(470,plain,
% 7.72/5.31 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB195) <=> (~((~v139(constB195)) | (~v130(constB195)))))),
% 7.72/5.31 inference(quant_inst,[status(thm)],[])).
% 7.72/5.31 tff(471,plain,
% 7.72/5.31 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB195) <=> (~((~v130(constB195)) | (~v139(constB195)))))),
% 7.72/5.31 inference(modus_ponens,[status(thm)],[470, 469])).
% 7.72/5.31 tff(472,plain,
% 7.72/5.31 (v155(constB195) <=> (~((~v130(constB195)) | (~v139(constB195))))),
% 7.72/5.31 inference(unit_resolution,[status(thm)],[471, 447])).
% 7.72/5.31 tff(473,plain,
% 7.72/5.31 ((~![VarCurr: $i] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB195)) <=> v140(constB195))),
% 7.72/5.31 inference(quant_inst,[status(thm)],[])).
% 7.72/5.31 tff(474,plain,
% 7.72/5.31 ((~v139(constB195)) <=> v140(constB195)),
% 7.72/5.31 inference(unit_resolution,[status(thm)],[473, 203])).
% 7.72/5.31 tff(475,plain,
% 7.72/5.31 ((~![VarCurr: $i] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB195) <=> (v141(constB195) | v26(constB195)))),
% 7.72/5.31 inference(quant_inst,[status(thm)],[])).
% 7.72/5.31 tff(476,plain,
% 7.72/5.31 (v140(constB195) <=> (v141(constB195) | v26(constB195))),
% 7.72/5.31 inference(unit_resolution,[status(thm)],[475, 212])).
% 7.72/5.31 tff(477,plain,
% 7.72/5.31 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB195) <=> (~((~v39(constB195)) | (~v9(constB195)))))),
% 7.72/5.31 inference(quant_inst,[status(thm)],[])).
% 7.72/5.31 tff(478,plain,
% 7.72/5.31 (v141(constB195) <=> (~((~v39(constB195)) | (~v9(constB195))))),
% 7.72/5.31 inference(unit_resolution,[status(thm)],[477, 130])).
% 7.72/5.31 tff(479,plain,
% 7.72/5.31 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB195, constB196)) | (v13(constB196) <=> v9(constB195)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB195, constB196)) | (v13(constB196) <=> v9(constB195)))),
% 7.72/5.31 inference(rewrite,[status(thm)],[])).
% 7.72/5.31 tff(480,plain,
% 7.72/5.31 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB195, constB196)) | (v13(constB196) <=> v9(constB195)))),
% 7.72/5.31 inference(quant_inst,[status(thm)],[])).
% 7.72/5.31 tff(481,plain,
% 7.72/5.31 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB195, constB196)) | (v13(constB196) <=> v9(constB195))),
% 7.72/5.31 inference(modus_ponens,[status(thm)],[480, 479])).
% 7.72/5.31 tff(482,plain,
% 7.72/5.31 (v13(constB196) <=> v9(constB195)),
% 7.72/5.31 inference(unit_resolution,[status(thm)],[481, 459, 226])).
% 7.72/5.31 tff(483,plain,
% 7.72/5.31 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB196) <=> v13(constB196))),
% 7.72/5.31 inference(quant_inst,[status(thm)],[])).
% 7.72/5.31 tff(484,plain,
% 7.72/5.31 (v6(constB196) <=> v13(constB196)),
% 7.72/5.31 inference(unit_resolution,[status(thm)],[483, 240])).
% 7.72/5.31 tff(485,plain,
% 7.72/5.31 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB196)) <=> v6(constB196))),
% 7.72/5.31 inference(quant_inst,[status(thm)],[])).
% 7.72/5.31 tff(486,plain,
% 7.72/5.31 ((~v21(constB196)) <=> v6(constB196)),
% 7.72/5.31 inference(unit_resolution,[status(thm)],[485, 249])).
% 7.72/5.31 tff(487,plain,
% 7.72/5.31 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB196) <=> (v20(constB196) | v21(constB196)))),
% 7.72/5.31 inference(quant_inst,[status(thm)],[])).
% 7.72/5.31 tff(488,plain,
% 7.72/5.31 (v19(constB196) <=> (v20(constB196) | v21(constB196))),
% 7.72/5.31 inference(unit_resolution,[status(thm)],[487, 258])).
% 7.72/5.31 tff(489,plain,
% 7.72/5.31 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB196) <=> (~((~v19(constB196)) | (~v22(constB196)))))),
% 7.72/5.31 inference(quant_inst,[status(thm)],[])).
% 7.72/5.31 tff(490,plain,
% 7.72/5.31 (v18(constB196) <=> (~((~v19(constB196)) | (~v22(constB196))))),
% 7.72/5.31 inference(unit_resolution,[status(thm)],[489, 270])).
% 7.72/5.31 tff(491,plain,
% 7.72/5.31 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB196)) <=> v18(constB196))),
% 7.72/5.31 inference(quant_inst,[status(thm)],[])).
% 7.72/5.31 tff(492,plain,
% 7.72/5.31 ((~v4(constB196)) <=> v18(constB196)),
% 7.72/5.31 inference(unit_resolution,[status(thm)],[491, 279])).
% 7.72/5.31 tff(493,plain,
% 7.72/5.31 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB196)),
% 7.72/5.31 inference(quant_inst,[status(thm)],[])).
% 7.72/5.31 tff(494,plain,
% 7.72/5.31 (v4(constB196)),
% 7.72/5.31 inference(unit_resolution,[status(thm)],[493, 288])).
% 7.72/5.31 tff(495,plain,
% 7.72/5.31 ((~((~v4(constB196)) <=> v18(constB196))) | (~v4(constB196)) | (~v18(constB196))),
% 7.72/5.31 inference(tautology,[status(thm)],[])).
% 7.72/5.31 tff(496,plain,
% 7.72/5.31 (~v18(constB196)),
% 7.72/5.31 inference(unit_resolution,[status(thm)],[495, 494, 492])).
% 7.72/5.31 tff(497,plain,
% 7.72/5.31 ((~(v18(constB196) <=> (~((~v19(constB196)) | (~v22(constB196)))))) | v18(constB196) | ((~v19(constB196)) | (~v22(constB196)))),
% 7.72/5.31 inference(tautology,[status(thm)],[])).
% 7.72/5.31 tff(498,plain,
% 7.72/5.31 ((~v19(constB196)) | (~v22(constB196))),
% 7.72/5.31 inference(unit_resolution,[status(thm)],[497, 496, 490])).
% 7.72/5.31 tff(499,plain,
% 7.72/5.31 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB196) <=> (v1(constB196) | v6(constB196)))),
% 7.72/5.31 inference(quant_inst,[status(thm)],[])).
% 7.72/5.31 tff(500,plain,
% 7.72/5.31 (v22(constB196) <=> (v1(constB196) | v6(constB196))),
% 7.72/5.31 inference(unit_resolution,[status(thm)],[499, 301])).
% 7.72/5.31 tff(501,plain,
% 7.72/5.31 ((v1(constB196) | v6(constB196)) | (~v1(constB196))),
% 7.72/5.31 inference(tautology,[status(thm)],[])).
% 7.72/5.31 tff(502,plain,
% 7.72/5.31 (v1(constB196) | v6(constB196)),
% 7.72/5.31 inference(unit_resolution,[status(thm)],[501, 420])).
% 7.72/5.31 tff(503,plain,
% 7.72/5.31 ((~(v22(constB196) <=> (v1(constB196) | v6(constB196)))) | v22(constB196) | (~(v1(constB196) | v6(constB196)))),
% 7.72/5.31 inference(tautology,[status(thm)],[])).
% 7.72/5.31 tff(504,plain,
% 7.72/5.31 ((~(v22(constB196) <=> (v1(constB196) | v6(constB196)))) | v22(constB196)),
% 7.72/5.31 inference(unit_resolution,[status(thm)],[503, 502])).
% 7.72/5.31 tff(505,plain,
% 7.72/5.31 (v22(constB196)),
% 7.72/5.31 inference(unit_resolution,[status(thm)],[504, 500])).
% 7.72/5.31 tff(506,plain,
% 7.72/5.31 ((~((~v19(constB196)) | (~v22(constB196)))) | (~v19(constB196)) | (~v22(constB196))),
% 7.72/5.31 inference(tautology,[status(thm)],[])).
% 7.72/5.31 tff(507,plain,
% 7.72/5.31 ((~((~v19(constB196)) | (~v22(constB196)))) | (~v19(constB196))),
% 7.72/5.31 inference(unit_resolution,[status(thm)],[506, 505])).
% 7.72/5.31 tff(508,plain,
% 7.72/5.31 (~v19(constB196)),
% 7.72/5.31 inference(unit_resolution,[status(thm)],[507, 498])).
% 7.72/5.31 tff(509,plain,
% 7.72/5.31 ((~(v19(constB196) <=> (v20(constB196) | v21(constB196)))) | v19(constB196) | (~(v20(constB196) | v21(constB196)))),
% 7.72/5.31 inference(tautology,[status(thm)],[])).
% 7.72/5.31 tff(510,plain,
% 7.72/5.31 (~(v20(constB196) | v21(constB196))),
% 7.72/5.31 inference(unit_resolution,[status(thm)],[509, 508, 488])).
% 7.72/5.31 tff(511,plain,
% 7.72/5.31 ((v20(constB196) | v21(constB196)) | (~v21(constB196))),
% 7.72/5.31 inference(tautology,[status(thm)],[])).
% 7.72/5.31 tff(512,plain,
% 7.72/5.31 (~v21(constB196)),
% 7.72/5.31 inference(unit_resolution,[status(thm)],[511, 510])).
% 7.72/5.31 tff(513,plain,
% 7.72/5.31 ((~((~v21(constB196)) <=> v6(constB196))) | v21(constB196) | v6(constB196)),
% 7.72/5.31 inference(tautology,[status(thm)],[])).
% 7.72/5.31 tff(514,plain,
% 7.72/5.31 (v6(constB196)),
% 7.72/5.31 inference(unit_resolution,[status(thm)],[513, 512, 486])).
% 7.72/5.31 tff(515,plain,
% 7.72/5.31 ((~(v6(constB196) <=> v13(constB196))) | (~v6(constB196)) | v13(constB196)),
% 7.72/5.31 inference(tautology,[status(thm)],[])).
% 7.72/5.31 tff(516,plain,
% 7.72/5.31 (v13(constB196)),
% 7.72/5.31 inference(unit_resolution,[status(thm)],[515, 514, 484])).
% 7.72/5.31 tff(517,plain,
% 7.72/5.31 ((~(v13(constB196) <=> v9(constB195))) | (~v13(constB196)) | v9(constB195)),
% 7.72/5.31 inference(tautology,[status(thm)],[])).
% 7.72/5.31 tff(518,plain,
% 7.72/5.31 (v9(constB195)),
% 7.72/5.31 inference(unit_resolution,[status(thm)],[517, 516, 482])).
% 7.72/5.31 tff(519,plain,
% 7.72/5.31 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB195)) <=> v1(constB195))),
% 7.72/5.31 inference(quant_inst,[status(thm)],[])).
% 7.72/5.31 tff(520,plain,
% 7.72/5.31 ((~v39(constB195)) <=> v1(constB195)),
% 7.72/5.31 inference(unit_resolution,[status(thm)],[519, 139])).
% 7.72/5.31 tff(521,plain,
% 7.72/5.31 ((~v1(constB195)) <=> (~v1(constB195))),
% 7.72/5.31 inference(rewrite,[status(thm)],[])).
% 7.72/5.31 tff(522,axiom,(~v1(constB195)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_195')).
% 7.72/5.31 tff(523,plain,
% 7.72/5.31 (~v1(constB195)),
% 7.72/5.31 inference(modus_ponens,[status(thm)],[522, 521])).
% 7.72/5.31 tff(524,plain,
% 7.72/5.31 ((~((~v39(constB195)) <=> v1(constB195))) | v39(constB195) | v1(constB195)),
% 7.72/5.31 inference(tautology,[status(thm)],[])).
% 7.72/5.31 tff(525,plain,
% 7.72/5.31 ((~((~v39(constB195)) <=> v1(constB195))) | v39(constB195)),
% 7.72/5.31 inference(unit_resolution,[status(thm)],[524, 523])).
% 7.72/5.31 tff(526,plain,
% 7.72/5.31 (v39(constB195)),
% 7.72/5.31 inference(unit_resolution,[status(thm)],[525, 520])).
% 7.72/5.31 tff(527,plain,
% 7.72/5.31 ((~((~v39(constB195)) | (~v9(constB195)))) | (~v39(constB195)) | (~v9(constB195))),
% 7.72/5.31 inference(tautology,[status(thm)],[])).
% 7.72/5.31 tff(528,plain,
% 7.72/5.31 ((~((~v39(constB195)) | (~v9(constB195)))) | (~v9(constB195))),
% 7.72/5.31 inference(unit_resolution,[status(thm)],[527, 526])).
% 7.72/5.31 tff(529,plain,
% 7.72/5.31 (~((~v39(constB195)) | (~v9(constB195)))),
% 7.72/5.31 inference(unit_resolution,[status(thm)],[528, 518])).
% 7.72/5.31 tff(530,plain,
% 7.72/5.31 ((~(v141(constB195) <=> (~((~v39(constB195)) | (~v9(constB195)))))) | v141(constB195) | ((~v39(constB195)) | (~v9(constB195)))),
% 7.72/5.31 inference(tautology,[status(thm)],[])).
% 7.72/5.31 tff(531,plain,
% 7.72/5.31 (v141(constB195)),
% 7.72/5.31 inference(unit_resolution,[status(thm)],[530, 529, 478])).
% 7.72/5.31 tff(532,plain,
% 7.72/5.31 ((v141(constB195) | v26(constB195)) | (~v141(constB195))),
% 7.72/5.31 inference(tautology,[status(thm)],[])).
% 7.72/5.31 tff(533,plain,
% 7.72/5.31 (v141(constB195) | v26(constB195)),
% 7.72/5.31 inference(unit_resolution,[status(thm)],[532, 531])).
% 7.72/5.31 tff(534,plain,
% 7.72/5.31 ((~(v140(constB195) <=> (v141(constB195) | v26(constB195)))) | v140(constB195) | (~(v141(constB195) | v26(constB195)))),
% 7.72/5.31 inference(tautology,[status(thm)],[])).
% 7.72/5.31 tff(535,plain,
% 7.72/5.31 (v140(constB195)),
% 7.72/5.31 inference(unit_resolution,[status(thm)],[534, 533, 476])).
% 7.72/5.31 tff(536,plain,
% 7.72/5.31 ((~((~v139(constB195)) <=> v140(constB195))) | (~v139(constB195)) | (~v140(constB195))),
% 7.72/5.31 inference(tautology,[status(thm)],[])).
% 7.72/5.31 tff(537,plain,
% 7.72/5.31 (~v139(constB195)),
% 7.72/5.31 inference(unit_resolution,[status(thm)],[536, 535, 474])).
% 7.72/5.31 tff(538,plain,
% 7.72/5.31 (((~v130(constB195)) | (~v139(constB195))) | v139(constB195)),
% 7.72/5.31 inference(tautology,[status(thm)],[])).
% 7.72/5.31 tff(539,plain,
% 7.72/5.31 ((~v130(constB195)) | (~v139(constB195))),
% 7.72/5.31 inference(unit_resolution,[status(thm)],[538, 537])).
% 7.72/5.31 tff(540,plain,
% 7.72/5.31 ((~(v155(constB195) <=> (~((~v130(constB195)) | (~v139(constB195)))))) | (~v155(constB195)) | (~((~v130(constB195)) | (~v139(constB195))))),
% 7.72/5.31 inference(tautology,[status(thm)],[])).
% 7.72/5.31 tff(541,plain,
% 7.72/5.31 (~v155(constB195)),
% 7.72/5.31 inference(unit_resolution,[status(thm)],[540, 539, 472])).
% 7.72/5.31 tff(542,plain,
% 7.72/5.31 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB195) <=> (~((~v132(constB195)) | (~v154(constB195)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB195) <=> (~((~v132(constB195)) | (~v154(constB195))))))),
% 7.72/5.31 inference(rewrite,[status(thm)],[])).
% 7.72/5.31 tff(543,plain,
% 7.72/5.31 ((v153(constB195) <=> (~((~v154(constB195)) | (~v132(constB195))))) <=> (v153(constB195) <=> (~((~v132(constB195)) | (~v154(constB195)))))),
% 7.72/5.31 inference(rewrite,[status(thm)],[])).
% 7.72/5.31 tff(544,plain,
% 7.72/5.31 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB195) <=> (~((~v154(constB195)) | (~v132(constB195)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB195) <=> (~((~v132(constB195)) | (~v154(constB195))))))),
% 7.72/5.31 inference(monotonicity,[status(thm)],[543])).
% 7.72/5.31 tff(545,plain,
% 7.72/5.31 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB195) <=> (~((~v154(constB195)) | (~v132(constB195)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB195) <=> (~((~v132(constB195)) | (~v154(constB195))))))),
% 7.72/5.31 inference(transitivity,[status(thm)],[544, 542])).
% 7.72/5.31 tff(546,plain,
% 7.72/5.31 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB195) <=> (~((~v154(constB195)) | (~v132(constB195)))))),
% 7.72/5.31 inference(quant_inst,[status(thm)],[])).
% 7.72/5.31 tff(547,plain,
% 7.72/5.31 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB195) <=> (~((~v132(constB195)) | (~v154(constB195)))))),
% 7.72/5.31 inference(modus_ponens,[status(thm)],[546, 545])).
% 7.72/5.31 tff(548,plain,
% 7.72/5.31 (v153(constB195) <=> (~((~v132(constB195)) | (~v154(constB195))))),
% 7.72/5.31 inference(unit_resolution,[status(thm)],[547, 399])).
% 7.72/5.31 tff(549,plain,
% 7.72/5.31 (^[VarNext: $i] : refl((v132(VarNext) <=> v137(VarNext)) <=> (v132(VarNext) <=> v137(VarNext)))),
% 7.72/5.31 inference(bind,[status(th)],[])).
% 7.72/5.31 tff(550,plain,
% 7.72/5.31 (![VarNext: $i] : (v132(VarNext) <=> v137(VarNext)) <=> ![VarNext: $i] : (v132(VarNext) <=> v137(VarNext))),
% 7.72/5.31 inference(quant_intro,[status(thm)],[549])).
% 7.72/5.31 tff(551,plain,
% 7.72/5.31 (![VarNext: $i] : (v132(VarNext) <=> v137(VarNext)) <=> ![VarNext: $i] : (v132(VarNext) <=> v137(VarNext))),
% 7.72/5.31 inference(rewrite,[status(thm)],[])).
% 7.72/5.31 tff(552,plain,
% 7.72/5.31 (^[VarNext: $i] : rewrite(($true => (v132(VarNext) <=> v137(VarNext))) <=> (v132(VarNext) <=> v137(VarNext)))),
% 7.72/5.31 inference(bind,[status(th)],[])).
% 7.72/5.31 tff(553,plain,
% 7.72/5.31 (![VarNext: $i] : ($true => (v132(VarNext) <=> v137(VarNext))) <=> ![VarNext: $i] : (v132(VarNext) <=> v137(VarNext))),
% 7.72/5.31 inference(quant_intro,[status(thm)],[552])).
% 7.72/5.31 tff(554,axiom,(![VarNext: $i] : ($true => (v132(VarNext) <=> v137(VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addConditionBooleanCondEqualRangesThenBranch_4')).
% 7.72/5.31 tff(555,plain,
% 7.72/5.31 (![VarNext: $i] : (v132(VarNext) <=> v137(VarNext))),
% 7.72/5.31 inference(modus_ponens,[status(thm)],[554, 553])).
% 7.72/5.31 tff(556,plain,
% 7.72/5.31 (![VarNext: $i] : (v132(VarNext) <=> v137(VarNext))),
% 7.72/5.31 inference(modus_ponens,[status(thm)],[555, 551])).
% 7.72/5.31 tff(557,plain,(
% 7.72/5.31 ![VarNext: $i] : (v132(VarNext) <=> v137(VarNext))),
% 7.72/5.31 inference(skolemize,[status(sab)],[556])).
% 7.72/5.31 tff(558,plain,
% 7.72/5.31 (![VarNext: $i] : (v132(VarNext) <=> v137(VarNext))),
% 7.72/5.31 inference(modus_ponens,[status(thm)],[557, 550])).
% 7.72/5.31 tff(559,plain,
% 7.72/5.31 ((~![VarNext: $i] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB195) <=> v137(constB195))),
% 7.72/5.31 inference(quant_inst,[status(thm)],[])).
% 7.72/5.31 tff(560,plain,
% 7.72/5.31 (v132(constB195) <=> v137(constB195)),
% 7.72/5.31 inference(unit_resolution,[status(thm)],[559, 558])).
% 7.72/5.31 tff(561,plain,
% 7.72/5.31 (^[VarCurr: $i, VarNext: $i] : refl(((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr))))),
% 7.72/5.31 inference(bind,[status(th)],[])).
% 7.72/5.31 tff(562,plain,
% 7.72/5.31 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))),
% 7.72/5.31 inference(quant_intro,[status(thm)],[561])).
% 7.72/5.31 tff(563,plain,
% 7.72/5.31 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))),
% 7.72/5.31 inference(rewrite,[status(thm)],[])).
% 7.72/5.31 tff(564,plain,
% 7.72/5.31 (^[VarCurr: $i, VarNext: $i] : rewrite((nextState(VarCurr, VarNext) => (v137(VarNext) <=> v135(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr))))),
% 7.72/5.31 inference(bind,[status(th)],[])).
% 7.72/5.31 tff(565,plain,
% 7.72/5.31 (![VarCurr: $i, VarNext: $i] : (nextState(VarCurr, VarNext) => (v137(VarNext) <=> v135(VarCurr))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))),
% 7.72/5.31 inference(quant_intro,[status(thm)],[564])).
% 7.72/5.31 tff(566,axiom,(![VarCurr: $i, VarNext: $i] : (nextState(VarCurr, VarNext) => (v137(VarNext) <=> v135(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_8')).
% 7.72/5.31 tff(567,plain,
% 7.72/5.31 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))),
% 7.72/5.31 inference(modus_ponens,[status(thm)],[566, 565])).
% 7.72/5.31 tff(568,plain,
% 7.72/5.31 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))),
% 7.72/5.31 inference(modus_ponens,[status(thm)],[567, 563])).
% 7.72/5.31 tff(569,plain,(
% 7.72/5.31 ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))),
% 7.72/5.31 inference(skolemize,[status(sab)],[568])).
% 7.72/5.31 tff(570,plain,
% 7.72/5.31 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))),
% 7.72/5.31 inference(modus_ponens,[status(thm)],[569, 562])).
% 7.72/5.31 tff(571,plain,
% 7.72/5.31 (nextState(constB194, constB195) <=> nextState(constB194, constB195)),
% 7.72/5.31 inference(rewrite,[status(thm)],[])).
% 7.72/5.31 tff(572,axiom,(nextState(constB194, constB195)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_194')).
% 7.72/5.31 tff(573,plain,
% 7.72/5.31 (nextState(constB194, constB195)),
% 7.72/5.31 inference(modus_ponens,[status(thm)],[572, 571])).
% 7.72/5.31 tff(574,plain,
% 7.72/5.31 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB194, constB195)) | (v137(constB195) <=> v135(constB194)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB194, constB195)) | (v137(constB195) <=> v135(constB194)))),
% 7.72/5.31 inference(rewrite,[status(thm)],[])).
% 7.72/5.31 tff(575,plain,
% 7.72/5.31 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB194, constB195)) | (v137(constB195) <=> v135(constB194)))),
% 7.72/5.31 inference(quant_inst,[status(thm)],[])).
% 7.72/5.31 tff(576,plain,
% 7.72/5.31 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB194, constB195)) | (v137(constB195) <=> v135(constB194))),
% 7.72/5.31 inference(modus_ponens,[status(thm)],[575, 574])).
% 7.72/5.31 tff(577,plain,
% 7.72/5.31 (v137(constB195) <=> v135(constB194)),
% 7.72/5.31 inference(unit_resolution,[status(thm)],[576, 573, 570])).
% 7.72/5.31 tff(578,plain,
% 7.72/5.31 (^[VarCurr: $i] : refl((v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr))) <=> (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr))))),
% 7.72/5.31 inference(bind,[status(th)],[])).
% 7.72/5.31 tff(579,plain,
% 7.72/5.31 (![VarCurr: $i] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr))) <=> ![VarCurr: $i] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))),
% 7.72/5.31 inference(quant_intro,[status(thm)],[578])).
% 7.72/5.31 tff(580,plain,
% 7.72/5.31 (![VarCurr: $i] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr))) <=> ![VarCurr: $i] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))),
% 7.72/5.31 inference(rewrite,[status(thm)],[])).
% 7.72/5.31 tff(581,axiom,(![VarCurr: $i] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_33')).
% 7.80/5.31 tff(582,plain,
% 7.80/5.31 (![VarCurr: $i] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))),
% 7.80/5.31 inference(modus_ponens,[status(thm)],[581, 580])).
% 7.80/5.31 tff(583,plain,(
% 7.80/5.31 ![VarCurr: $i] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))),
% 7.80/5.31 inference(skolemize,[status(sab)],[582])).
% 7.80/5.31 tff(584,plain,
% 7.80/5.31 (![VarCurr: $i] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))),
% 7.80/5.31 inference(modus_ponens,[status(thm)],[583, 579])).
% 7.80/5.31 tff(585,plain,
% 7.80/5.31 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB194) <=> (v138(constB194) | v142(constB194)))),
% 7.80/5.31 inference(quant_inst,[status(thm)],[])).
% 7.80/5.31 tff(586,plain,
% 7.80/5.31 (v135(constB194) <=> (v138(constB194) | v142(constB194))),
% 7.80/5.31 inference(unit_resolution,[status(thm)],[585, 584])).
% 7.80/5.31 tff(587,plain,
% 7.80/5.31 (^[VarCurr: $i] : refl((v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr))))) <=> (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr))))))),
% 7.80/5.31 inference(bind,[status(th)],[])).
% 7.80/5.31 tff(588,plain,
% 7.80/5.31 (![VarCurr: $i] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr))))) <=> ![VarCurr: $i] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))),
% 7.80/5.31 inference(quant_intro,[status(thm)],[587])).
% 7.80/5.31 tff(589,plain,
% 7.80/5.31 (^[VarCurr: $i] : rewrite((v142(VarCurr) <=> (v143(VarCurr) & v144(VarCurr))) <=> (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr))))))),
% 7.80/5.31 inference(bind,[status(th)],[])).
% 7.80/5.31 tff(590,plain,
% 7.80/5.31 (![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) & v144(VarCurr))) <=> ![VarCurr: $i] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))),
% 7.80/5.31 inference(quant_intro,[status(thm)],[589])).
% 7.80/5.31 tff(591,plain,
% 7.80/5.31 (![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) & v144(VarCurr))) <=> ![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) & v144(VarCurr)))),
% 7.80/5.31 inference(rewrite,[status(thm)],[])).
% 7.80/5.31 tff(592,axiom,(![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) & v144(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_32')).
% 7.80/5.31 tff(593,plain,
% 7.80/5.31 (![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) & v144(VarCurr)))),
% 7.80/5.31 inference(modus_ponens,[status(thm)],[592, 591])).
% 7.80/5.31 tff(594,plain,(
% 7.80/5.31 ![VarCurr: $i] : (v142(VarCurr) <=> (v143(VarCurr) & v144(VarCurr)))),
% 7.80/5.31 inference(skolemize,[status(sab)],[593])).
% 7.80/5.31 tff(595,plain,
% 7.80/5.31 (![VarCurr: $i] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))),
% 7.80/5.31 inference(modus_ponens,[status(thm)],[594, 590])).
% 7.80/5.31 tff(596,plain,
% 7.80/5.31 (![VarCurr: $i] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))),
% 7.80/5.31 inference(modus_ponens,[status(thm)],[595, 588])).
% 7.80/5.31 tff(597,plain,
% 7.80/5.31 ((~![VarCurr: $i] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB194) <=> (~((~v143(constB194)) | (~v144(constB194)))))),
% 7.80/5.31 inference(quant_inst,[status(thm)],[])).
% 7.80/5.31 tff(598,plain,
% 7.80/5.31 (v142(constB194) <=> (~((~v143(constB194)) | (~v144(constB194))))),
% 7.80/5.31 inference(unit_resolution,[status(thm)],[597, 596])).
% 7.80/5.31 tff(599,plain,
% 7.80/5.31 (^[VarCurr: $i] : refl((v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr))))) <=> (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr))))))),
% 7.80/5.31 inference(bind,[status(th)],[])).
% 7.80/5.31 tff(600,plain,
% 7.80/5.31 (![VarCurr: $i] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr))))) <=> ![VarCurr: $i] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))),
% 7.80/5.31 inference(quant_intro,[status(thm)],[599])).
% 7.80/5.31 tff(601,plain,
% 7.80/5.31 (^[VarCurr: $i] : rewrite((v144(VarCurr) <=> (v141(VarCurr) & v145(VarCurr))) <=> (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr))))))),
% 7.80/5.31 inference(bind,[status(th)],[])).
% 7.80/5.31 tff(602,plain,
% 7.80/5.31 (![VarCurr: $i] : (v144(VarCurr) <=> (v141(VarCurr) & v145(VarCurr))) <=> ![VarCurr: $i] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))),
% 7.80/5.31 inference(quant_intro,[status(thm)],[601])).
% 7.80/5.31 tff(603,plain,
% 7.80/5.31 (![VarCurr: $i] : (v144(VarCurr) <=> (v141(VarCurr) & v145(VarCurr))) <=> ![VarCurr: $i] : (v144(VarCurr) <=> (v141(VarCurr) & v145(VarCurr)))),
% 7.80/5.31 inference(rewrite,[status(thm)],[])).
% 7.80/5.31 tff(604,axiom,(![VarCurr: $i] : (v144(VarCurr) <=> (v141(VarCurr) & v145(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_31')).
% 7.80/5.31 tff(605,plain,
% 7.80/5.31 (![VarCurr: $i] : (v144(VarCurr) <=> (v141(VarCurr) & v145(VarCurr)))),
% 7.80/5.31 inference(modus_ponens,[status(thm)],[604, 603])).
% 7.80/5.31 tff(606,plain,(
% 7.80/5.31 ![VarCurr: $i] : (v144(VarCurr) <=> (v141(VarCurr) & v145(VarCurr)))),
% 7.80/5.31 inference(skolemize,[status(sab)],[605])).
% 7.80/5.31 tff(607,plain,
% 7.80/5.31 (![VarCurr: $i] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))),
% 7.80/5.31 inference(modus_ponens,[status(thm)],[606, 602])).
% 7.80/5.31 tff(608,plain,
% 7.80/5.31 (![VarCurr: $i] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))),
% 7.80/5.31 inference(modus_ponens,[status(thm)],[607, 600])).
% 7.80/5.31 tff(609,plain,
% 7.80/5.31 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB194) <=> (~((~v141(constB194)) | (~v145(constB194)))))),
% 7.80/5.31 inference(quant_inst,[status(thm)],[])).
% 7.80/5.31 tff(610,plain,
% 7.80/5.31 (v144(constB194) <=> (~((~v141(constB194)) | (~v145(constB194))))),
% 7.80/5.31 inference(unit_resolution,[status(thm)],[609, 608])).
% 7.80/5.31 tff(611,plain,
% 7.80/5.31 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB194) <=> (~((~v39(constB194)) | (~v9(constB194)))))),
% 7.80/5.31 inference(quant_inst,[status(thm)],[])).
% 7.80/5.31 tff(612,plain,
% 7.80/5.31 (v141(constB194) <=> (~((~v39(constB194)) | (~v9(constB194))))),
% 7.80/5.31 inference(unit_resolution,[status(thm)],[611, 130])).
% 7.80/5.31 tff(613,plain,
% 7.80/5.31 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB194)) <=> v1(constB194))),
% 7.80/5.31 inference(quant_inst,[status(thm)],[])).
% 7.80/5.31 tff(614,plain,
% 7.80/5.31 ((~v39(constB194)) <=> v1(constB194)),
% 7.80/5.31 inference(unit_resolution,[status(thm)],[613, 139])).
% 7.80/5.31 tff(615,plain,
% 7.80/5.31 (v1(constB194) <=> v1(constB194)),
% 7.80/5.31 inference(rewrite,[status(thm)],[])).
% 7.80/5.31 tff(616,axiom,(v1(constB194)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_194')).
% 7.80/5.31 tff(617,plain,
% 7.80/5.31 (v1(constB194)),
% 7.80/5.31 inference(modus_ponens,[status(thm)],[616, 615])).
% 7.80/5.31 tff(618,plain,
% 7.80/5.31 ((~((~v39(constB194)) <=> v1(constB194))) | (~v39(constB194)) | (~v1(constB194))),
% 7.80/5.31 inference(tautology,[status(thm)],[])).
% 7.80/5.31 tff(619,plain,
% 7.80/5.31 ((~((~v39(constB194)) <=> v1(constB194))) | (~v39(constB194))),
% 7.80/5.31 inference(unit_resolution,[status(thm)],[618, 617])).
% 7.80/5.31 tff(620,plain,
% 7.80/5.31 (~v39(constB194)),
% 7.80/5.31 inference(unit_resolution,[status(thm)],[619, 614])).
% 7.80/5.31 tff(621,plain,
% 7.80/5.31 (((~v39(constB194)) | (~v9(constB194))) | v39(constB194)),
% 7.80/5.31 inference(tautology,[status(thm)],[])).
% 7.80/5.31 tff(622,plain,
% 7.80/5.31 ((~v39(constB194)) | (~v9(constB194))),
% 7.80/5.31 inference(unit_resolution,[status(thm)],[621, 620])).
% 7.80/5.31 tff(623,plain,
% 7.80/5.31 ((~(v141(constB194) <=> (~((~v39(constB194)) | (~v9(constB194)))))) | (~v141(constB194)) | (~((~v39(constB194)) | (~v9(constB194))))),
% 7.80/5.31 inference(tautology,[status(thm)],[])).
% 7.80/5.31 tff(624,plain,
% 7.80/5.31 ((~(v141(constB194) <=> (~((~v39(constB194)) | (~v9(constB194)))))) | (~v141(constB194))),
% 7.80/5.31 inference(unit_resolution,[status(thm)],[623, 622])).
% 7.80/5.31 tff(625,plain,
% 7.80/5.31 (~v141(constB194)),
% 7.80/5.31 inference(unit_resolution,[status(thm)],[624, 612])).
% 7.80/5.31 tff(626,plain,
% 7.80/5.31 (((~v141(constB194)) | (~v145(constB194))) | v141(constB194)),
% 7.80/5.31 inference(tautology,[status(thm)],[])).
% 7.80/5.31 tff(627,plain,
% 7.80/5.31 ((~v141(constB194)) | (~v145(constB194))),
% 7.80/5.31 inference(unit_resolution,[status(thm)],[626, 625])).
% 7.80/5.31 tff(628,plain,
% 7.80/5.31 ((~(v144(constB194) <=> (~((~v141(constB194)) | (~v145(constB194)))))) | (~v144(constB194)) | (~((~v141(constB194)) | (~v145(constB194))))),
% 7.80/5.31 inference(tautology,[status(thm)],[])).
% 7.80/5.31 tff(629,plain,
% 7.80/5.31 ((~(v144(constB194) <=> (~((~v141(constB194)) | (~v145(constB194)))))) | (~v144(constB194))),
% 7.80/5.31 inference(unit_resolution,[status(thm)],[628, 627])).
% 7.80/5.31 tff(630,plain,
% 7.80/5.31 (~v144(constB194)),
% 7.80/5.31 inference(unit_resolution,[status(thm)],[629, 610])).
% 7.80/5.31 tff(631,plain,
% 7.80/5.31 (((~v143(constB194)) | (~v144(constB194))) | v144(constB194)),
% 7.80/5.31 inference(tautology,[status(thm)],[])).
% 7.80/5.31 tff(632,plain,
% 7.80/5.31 ((~v143(constB194)) | (~v144(constB194))),
% 7.80/5.31 inference(unit_resolution,[status(thm)],[631, 630])).
% 7.80/5.31 tff(633,plain,
% 7.80/5.31 ((~(v142(constB194) <=> (~((~v143(constB194)) | (~v144(constB194)))))) | (~v142(constB194)) | (~((~v143(constB194)) | (~v144(constB194))))),
% 7.80/5.31 inference(tautology,[status(thm)],[])).
% 7.80/5.31 tff(634,plain,
% 7.80/5.31 (~v142(constB194)),
% 7.80/5.31 inference(unit_resolution,[status(thm)],[633, 632, 598])).
% 7.80/5.31 tff(635,plain,
% 7.80/5.31 (^[VarCurr: $i] : refl((v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr))))) <=> (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr))))))),
% 7.80/5.31 inference(bind,[status(th)],[])).
% 7.80/5.31 tff(636,plain,
% 7.80/5.31 (![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr))))) <=> ![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))),
% 7.80/5.31 inference(quant_intro,[status(thm)],[635])).
% 7.80/5.31 tff(637,plain,
% 7.80/5.31 (^[VarCurr: $i] : rewrite((v138(VarCurr) <=> (v139(VarCurr) & v132(VarCurr))) <=> (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr))))))),
% 7.80/5.31 inference(bind,[status(th)],[])).
% 7.80/5.31 tff(638,plain,
% 7.80/5.31 (![VarCurr: $i] : (v138(VarCurr) <=> (v139(VarCurr) & v132(VarCurr))) <=> ![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))),
% 7.80/5.31 inference(quant_intro,[status(thm)],[637])).
% 7.80/5.31 tff(639,plain,
% 7.80/5.31 (![VarCurr: $i] : (v138(VarCurr) <=> (v139(VarCurr) & v132(VarCurr))) <=> ![VarCurr: $i] : (v138(VarCurr) <=> (v139(VarCurr) & v132(VarCurr)))),
% 7.80/5.31 inference(rewrite,[status(thm)],[])).
% 7.80/5.31 tff(640,axiom,(![VarCurr: $i] : (v138(VarCurr) <=> (v139(VarCurr) & v132(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_30')).
% 7.80/5.31 tff(641,plain,
% 7.80/5.31 (![VarCurr: $i] : (v138(VarCurr) <=> (v139(VarCurr) & v132(VarCurr)))),
% 7.80/5.31 inference(modus_ponens,[status(thm)],[640, 639])).
% 7.80/5.31 tff(642,plain,(
% 7.80/5.31 ![VarCurr: $i] : (v138(VarCurr) <=> (v139(VarCurr) & v132(VarCurr)))),
% 7.80/5.31 inference(skolemize,[status(sab)],[641])).
% 7.80/5.31 tff(643,plain,
% 7.80/5.31 (![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))),
% 7.80/5.31 inference(modus_ponens,[status(thm)],[642, 638])).
% 7.80/5.31 tff(644,plain,
% 7.80/5.31 (![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))),
% 7.80/5.31 inference(modus_ponens,[status(thm)],[643, 636])).
% 7.80/5.31 tff(645,plain,
% 7.80/5.31 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB194) <=> (~((~v132(constB194)) | (~v139(constB194)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB194) <=> (~((~v132(constB194)) | (~v139(constB194))))))),
% 7.80/5.31 inference(rewrite,[status(thm)],[])).
% 7.80/5.31 tff(646,plain,
% 7.80/5.31 ((v138(constB194) <=> (~((~v139(constB194)) | (~v132(constB194))))) <=> (v138(constB194) <=> (~((~v132(constB194)) | (~v139(constB194)))))),
% 7.80/5.31 inference(rewrite,[status(thm)],[])).
% 7.80/5.31 tff(647,plain,
% 7.80/5.31 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB194) <=> (~((~v139(constB194)) | (~v132(constB194)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB194) <=> (~((~v132(constB194)) | (~v139(constB194))))))),
% 7.80/5.31 inference(monotonicity,[status(thm)],[646])).
% 7.80/5.31 tff(648,plain,
% 7.80/5.31 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB194) <=> (~((~v139(constB194)) | (~v132(constB194)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB194) <=> (~((~v132(constB194)) | (~v139(constB194))))))),
% 7.80/5.31 inference(transitivity,[status(thm)],[647, 645])).
% 7.80/5.31 tff(649,plain,
% 7.80/5.31 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB194) <=> (~((~v139(constB194)) | (~v132(constB194)))))),
% 7.80/5.31 inference(quant_inst,[status(thm)],[])).
% 7.80/5.31 tff(650,plain,
% 7.80/5.31 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB194) <=> (~((~v132(constB194)) | (~v139(constB194)))))),
% 7.80/5.31 inference(modus_ponens,[status(thm)],[649, 648])).
% 7.80/5.31 tff(651,plain,
% 7.80/5.31 (v138(constB194) <=> (~((~v132(constB194)) | (~v139(constB194))))),
% 7.80/5.31 inference(unit_resolution,[status(thm)],[650, 644])).
% 7.80/5.31 tff(652,plain,
% 7.80/5.31 ((~![VarNext: $i] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB194) <=> v137(constB194))),
% 7.80/5.31 inference(quant_inst,[status(thm)],[])).
% 7.80/5.31 tff(653,plain,
% 7.80/5.31 (v132(constB194) <=> v137(constB194)),
% 7.80/5.31 inference(unit_resolution,[status(thm)],[652, 558])).
% 7.80/5.31 tff(654,plain,
% 7.80/5.31 (nextState(constB193, constB194) <=> nextState(constB193, constB194)),
% 7.80/5.31 inference(rewrite,[status(thm)],[])).
% 7.80/5.31 tff(655,axiom,(nextState(constB193, constB194)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_193')).
% 7.80/5.31 tff(656,plain,
% 7.80/5.31 (nextState(constB193, constB194)),
% 7.80/5.31 inference(modus_ponens,[status(thm)],[655, 654])).
% 7.80/5.31 tff(657,plain,
% 7.80/5.31 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB193, constB194)) | (v137(constB194) <=> v135(constB193)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB193, constB194)) | (v137(constB194) <=> v135(constB193)))),
% 7.80/5.32 inference(rewrite,[status(thm)],[])).
% 7.80/5.32 tff(658,plain,
% 7.80/5.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB193, constB194)) | (v137(constB194) <=> v135(constB193)))),
% 7.80/5.32 inference(quant_inst,[status(thm)],[])).
% 7.80/5.32 tff(659,plain,
% 7.80/5.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB193, constB194)) | (v137(constB194) <=> v135(constB193))),
% 7.80/5.32 inference(modus_ponens,[status(thm)],[658, 657])).
% 7.80/5.32 tff(660,plain,
% 7.80/5.32 (v137(constB194) <=> v135(constB193)),
% 7.80/5.32 inference(unit_resolution,[status(thm)],[659, 656, 570])).
% 7.80/5.32 tff(661,plain,
% 7.80/5.32 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB193) <=> (v138(constB193) | v142(constB193)))),
% 7.80/5.32 inference(quant_inst,[status(thm)],[])).
% 7.80/5.32 tff(662,plain,
% 7.80/5.32 (v135(constB193) <=> (v138(constB193) | v142(constB193))),
% 7.80/5.32 inference(unit_resolution,[status(thm)],[661, 584])).
% 7.80/5.32 tff(663,plain,
% 7.80/5.32 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB193) <=> (~((~v132(constB193)) | (~v139(constB193)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB193) <=> (~((~v132(constB193)) | (~v139(constB193))))))),
% 7.80/5.32 inference(rewrite,[status(thm)],[])).
% 7.80/5.32 tff(664,plain,
% 7.80/5.32 ((v138(constB193) <=> (~((~v139(constB193)) | (~v132(constB193))))) <=> (v138(constB193) <=> (~((~v132(constB193)) | (~v139(constB193)))))),
% 7.80/5.32 inference(rewrite,[status(thm)],[])).
% 7.80/5.32 tff(665,plain,
% 7.80/5.32 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB193) <=> (~((~v139(constB193)) | (~v132(constB193)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB193) <=> (~((~v132(constB193)) | (~v139(constB193))))))),
% 7.80/5.32 inference(monotonicity,[status(thm)],[664])).
% 7.80/5.32 tff(666,plain,
% 7.80/5.32 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB193) <=> (~((~v139(constB193)) | (~v132(constB193)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB193) <=> (~((~v132(constB193)) | (~v139(constB193))))))),
% 7.80/5.32 inference(transitivity,[status(thm)],[665, 663])).
% 7.80/5.32 tff(667,plain,
% 7.80/5.32 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB193) <=> (~((~v139(constB193)) | (~v132(constB193)))))),
% 7.80/5.32 inference(quant_inst,[status(thm)],[])).
% 7.80/5.32 tff(668,plain,
% 7.80/5.32 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB193) <=> (~((~v132(constB193)) | (~v139(constB193)))))),
% 7.80/5.32 inference(modus_ponens,[status(thm)],[667, 666])).
% 7.80/5.32 tff(669,plain,
% 7.80/5.32 (v138(constB193) <=> (~((~v132(constB193)) | (~v139(constB193))))),
% 7.80/5.32 inference(unit_resolution,[status(thm)],[668, 644])).
% 7.80/5.32 tff(670,plain,
% 7.80/5.32 ((~![VarCurr: $i] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB193)) <=> v140(constB193))),
% 7.80/5.32 inference(quant_inst,[status(thm)],[])).
% 7.80/5.32 tff(671,plain,
% 7.80/5.32 ((~v139(constB193)) <=> v140(constB193)),
% 7.80/5.32 inference(unit_resolution,[status(thm)],[670, 203])).
% 7.80/5.32 tff(672,plain,
% 7.80/5.32 ((~![VarCurr: $i] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB193) <=> (v141(constB193) | v26(constB193)))),
% 7.80/5.32 inference(quant_inst,[status(thm)],[])).
% 7.80/5.32 tff(673,plain,
% 7.80/5.32 (v140(constB193) <=> (v141(constB193) | v26(constB193))),
% 7.80/5.32 inference(unit_resolution,[status(thm)],[672, 212])).
% 7.80/5.32 tff(674,plain,
% 7.80/5.32 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB193) <=> (~((~v39(constB193)) | (~v9(constB193)))))),
% 7.80/5.32 inference(quant_inst,[status(thm)],[])).
% 7.80/5.32 tff(675,plain,
% 7.80/5.32 (v141(constB193) <=> (~((~v39(constB193)) | (~v9(constB193))))),
% 7.80/5.32 inference(unit_resolution,[status(thm)],[674, 130])).
% 7.80/5.32 tff(676,plain,
% 7.80/5.32 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB193, constB194)) | (v13(constB194) <=> v9(constB193)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB193, constB194)) | (v13(constB194) <=> v9(constB193)))),
% 7.80/5.32 inference(rewrite,[status(thm)],[])).
% 7.80/5.32 tff(677,plain,
% 7.80/5.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB193, constB194)) | (v13(constB194) <=> v9(constB193)))),
% 7.80/5.32 inference(quant_inst,[status(thm)],[])).
% 7.80/5.32 tff(678,plain,
% 7.80/5.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB193, constB194)) | (v13(constB194) <=> v9(constB193))),
% 7.80/5.32 inference(modus_ponens,[status(thm)],[677, 676])).
% 7.80/5.32 tff(679,plain,
% 7.80/5.32 (v13(constB194) <=> v9(constB193)),
% 7.80/5.32 inference(unit_resolution,[status(thm)],[678, 656, 226])).
% 7.80/5.32 tff(680,plain,
% 7.80/5.32 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB194) <=> v13(constB194))),
% 7.80/5.32 inference(quant_inst,[status(thm)],[])).
% 7.80/5.32 tff(681,plain,
% 7.80/5.32 (v6(constB194) <=> v13(constB194)),
% 7.80/5.32 inference(unit_resolution,[status(thm)],[680, 240])).
% 7.80/5.32 tff(682,plain,
% 7.80/5.32 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB194)) <=> v6(constB194))),
% 7.80/5.32 inference(quant_inst,[status(thm)],[])).
% 7.80/5.32 tff(683,plain,
% 7.80/5.32 ((~v21(constB194)) <=> v6(constB194)),
% 7.80/5.32 inference(unit_resolution,[status(thm)],[682, 249])).
% 7.80/5.32 tff(684,plain,
% 7.80/5.32 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB194) <=> (v20(constB194) | v21(constB194)))),
% 7.80/5.32 inference(quant_inst,[status(thm)],[])).
% 7.80/5.32 tff(685,plain,
% 7.80/5.32 (v19(constB194) <=> (v20(constB194) | v21(constB194))),
% 7.80/5.32 inference(unit_resolution,[status(thm)],[684, 258])).
% 7.80/5.32 tff(686,plain,
% 7.80/5.32 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB194) <=> (~((~v19(constB194)) | (~v22(constB194)))))),
% 7.80/5.32 inference(quant_inst,[status(thm)],[])).
% 7.80/5.32 tff(687,plain,
% 7.80/5.32 (v18(constB194) <=> (~((~v19(constB194)) | (~v22(constB194))))),
% 7.80/5.32 inference(unit_resolution,[status(thm)],[686, 270])).
% 7.80/5.32 tff(688,plain,
% 7.80/5.32 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB194)) <=> v18(constB194))),
% 7.80/5.32 inference(quant_inst,[status(thm)],[])).
% 7.80/5.32 tff(689,plain,
% 7.80/5.32 ((~v4(constB194)) <=> v18(constB194)),
% 7.80/5.32 inference(unit_resolution,[status(thm)],[688, 279])).
% 7.80/5.32 tff(690,plain,
% 7.80/5.32 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB194)),
% 7.80/5.32 inference(quant_inst,[status(thm)],[])).
% 7.80/5.32 tff(691,plain,
% 7.80/5.32 (v4(constB194)),
% 7.80/5.32 inference(unit_resolution,[status(thm)],[690, 288])).
% 7.80/5.32 tff(692,plain,
% 7.80/5.32 ((~((~v4(constB194)) <=> v18(constB194))) | (~v4(constB194)) | (~v18(constB194))),
% 7.80/5.32 inference(tautology,[status(thm)],[])).
% 7.80/5.32 tff(693,plain,
% 7.80/5.32 (~v18(constB194)),
% 7.80/5.32 inference(unit_resolution,[status(thm)],[692, 691, 689])).
% 7.80/5.32 tff(694,plain,
% 7.80/5.32 ((~(v18(constB194) <=> (~((~v19(constB194)) | (~v22(constB194)))))) | v18(constB194) | ((~v19(constB194)) | (~v22(constB194)))),
% 7.80/5.32 inference(tautology,[status(thm)],[])).
% 7.80/5.32 tff(695,plain,
% 7.80/5.32 ((~v19(constB194)) | (~v22(constB194))),
% 7.80/5.32 inference(unit_resolution,[status(thm)],[694, 693, 687])).
% 7.80/5.32 tff(696,plain,
% 7.80/5.32 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB194) <=> (v1(constB194) | v6(constB194)))),
% 7.80/5.32 inference(quant_inst,[status(thm)],[])).
% 7.80/5.32 tff(697,plain,
% 7.80/5.32 (v22(constB194) <=> (v1(constB194) | v6(constB194))),
% 7.80/5.32 inference(unit_resolution,[status(thm)],[696, 301])).
% 7.80/5.32 tff(698,plain,
% 7.80/5.32 ((v1(constB194) | v6(constB194)) | (~v1(constB194))),
% 7.80/5.32 inference(tautology,[status(thm)],[])).
% 7.80/5.32 tff(699,plain,
% 7.80/5.32 (v1(constB194) | v6(constB194)),
% 7.80/5.32 inference(unit_resolution,[status(thm)],[698, 617])).
% 7.80/5.32 tff(700,plain,
% 7.80/5.32 ((~(v22(constB194) <=> (v1(constB194) | v6(constB194)))) | v22(constB194) | (~(v1(constB194) | v6(constB194)))),
% 7.80/5.32 inference(tautology,[status(thm)],[])).
% 7.80/5.32 tff(701,plain,
% 7.80/5.32 ((~(v22(constB194) <=> (v1(constB194) | v6(constB194)))) | v22(constB194)),
% 7.80/5.32 inference(unit_resolution,[status(thm)],[700, 699])).
% 7.80/5.32 tff(702,plain,
% 7.80/5.32 (v22(constB194)),
% 7.80/5.32 inference(unit_resolution,[status(thm)],[701, 697])).
% 7.80/5.32 tff(703,plain,
% 7.80/5.32 ((~((~v19(constB194)) | (~v22(constB194)))) | (~v19(constB194)) | (~v22(constB194))),
% 7.80/5.32 inference(tautology,[status(thm)],[])).
% 7.80/5.32 tff(704,plain,
% 7.80/5.32 ((~((~v19(constB194)) | (~v22(constB194)))) | (~v19(constB194))),
% 7.80/5.32 inference(unit_resolution,[status(thm)],[703, 702])).
% 7.80/5.32 tff(705,plain,
% 7.80/5.32 (~v19(constB194)),
% 7.80/5.32 inference(unit_resolution,[status(thm)],[704, 695])).
% 7.80/5.32 tff(706,plain,
% 7.80/5.32 ((~(v19(constB194) <=> (v20(constB194) | v21(constB194)))) | v19(constB194) | (~(v20(constB194) | v21(constB194)))),
% 7.80/5.32 inference(tautology,[status(thm)],[])).
% 7.80/5.32 tff(707,plain,
% 7.80/5.32 (~(v20(constB194) | v21(constB194))),
% 7.80/5.32 inference(unit_resolution,[status(thm)],[706, 705, 685])).
% 7.80/5.32 tff(708,plain,
% 7.80/5.32 ((v20(constB194) | v21(constB194)) | (~v21(constB194))),
% 7.80/5.32 inference(tautology,[status(thm)],[])).
% 7.80/5.32 tff(709,plain,
% 7.80/5.32 (~v21(constB194)),
% 7.80/5.32 inference(unit_resolution,[status(thm)],[708, 707])).
% 7.80/5.32 tff(710,plain,
% 7.80/5.32 ((~((~v21(constB194)) <=> v6(constB194))) | v21(constB194) | v6(constB194)),
% 7.80/5.32 inference(tautology,[status(thm)],[])).
% 7.80/5.32 tff(711,plain,
% 7.80/5.32 (v6(constB194)),
% 7.80/5.32 inference(unit_resolution,[status(thm)],[710, 709, 683])).
% 7.80/5.32 tff(712,plain,
% 7.80/5.32 ((~(v6(constB194) <=> v13(constB194))) | (~v6(constB194)) | v13(constB194)),
% 7.80/5.32 inference(tautology,[status(thm)],[])).
% 7.80/5.32 tff(713,plain,
% 7.80/5.32 (v13(constB194)),
% 7.80/5.32 inference(unit_resolution,[status(thm)],[712, 711, 681])).
% 7.80/5.32 tff(714,plain,
% 7.80/5.32 ((~(v13(constB194) <=> v9(constB193))) | (~v13(constB194)) | v9(constB193)),
% 7.80/5.32 inference(tautology,[status(thm)],[])).
% 7.80/5.32 tff(715,plain,
% 7.80/5.32 (v9(constB193)),
% 7.80/5.32 inference(unit_resolution,[status(thm)],[714, 713, 679])).
% 7.80/5.32 tff(716,plain,
% 7.80/5.32 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB193)) <=> v1(constB193))),
% 7.80/5.32 inference(quant_inst,[status(thm)],[])).
% 7.80/5.32 tff(717,plain,
% 7.80/5.32 ((~v39(constB193)) <=> v1(constB193)),
% 7.80/5.32 inference(unit_resolution,[status(thm)],[716, 139])).
% 7.80/5.32 tff(718,plain,
% 7.80/5.32 ((~v1(constB193)) <=> (~v1(constB193))),
% 7.80/5.32 inference(rewrite,[status(thm)],[])).
% 7.80/5.32 tff(719,axiom,(~v1(constB193)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_193')).
% 7.80/5.32 tff(720,plain,
% 7.80/5.32 (~v1(constB193)),
% 7.80/5.32 inference(modus_ponens,[status(thm)],[719, 718])).
% 7.80/5.32 tff(721,plain,
% 7.80/5.32 ((~((~v39(constB193)) <=> v1(constB193))) | v39(constB193) | v1(constB193)),
% 7.80/5.32 inference(tautology,[status(thm)],[])).
% 7.80/5.32 tff(722,plain,
% 7.80/5.32 ((~((~v39(constB193)) <=> v1(constB193))) | v39(constB193)),
% 7.80/5.32 inference(unit_resolution,[status(thm)],[721, 720])).
% 7.80/5.32 tff(723,plain,
% 7.80/5.32 (v39(constB193)),
% 7.80/5.32 inference(unit_resolution,[status(thm)],[722, 717])).
% 7.80/5.32 tff(724,plain,
% 7.80/5.32 ((~((~v39(constB193)) | (~v9(constB193)))) | (~v39(constB193)) | (~v9(constB193))),
% 7.80/5.32 inference(tautology,[status(thm)],[])).
% 7.80/5.32 tff(725,plain,
% 7.80/5.32 ((~((~v39(constB193)) | (~v9(constB193)))) | (~v9(constB193))),
% 7.80/5.32 inference(unit_resolution,[status(thm)],[724, 723])).
% 7.80/5.32 tff(726,plain,
% 7.80/5.32 (~((~v39(constB193)) | (~v9(constB193)))),
% 7.80/5.32 inference(unit_resolution,[status(thm)],[725, 715])).
% 7.80/5.32 tff(727,plain,
% 7.80/5.32 ((~(v141(constB193) <=> (~((~v39(constB193)) | (~v9(constB193)))))) | v141(constB193) | ((~v39(constB193)) | (~v9(constB193)))),
% 7.80/5.32 inference(tautology,[status(thm)],[])).
% 7.80/5.32 tff(728,plain,
% 7.80/5.32 (v141(constB193)),
% 7.80/5.32 inference(unit_resolution,[status(thm)],[727, 726, 675])).
% 7.80/5.32 tff(729,plain,
% 7.80/5.32 ((v141(constB193) | v26(constB193)) | (~v141(constB193))),
% 7.80/5.32 inference(tautology,[status(thm)],[])).
% 7.80/5.32 tff(730,plain,
% 7.80/5.32 (v141(constB193) | v26(constB193)),
% 7.80/5.32 inference(unit_resolution,[status(thm)],[729, 728])).
% 7.80/5.32 tff(731,plain,
% 7.80/5.32 ((~(v140(constB193) <=> (v141(constB193) | v26(constB193)))) | v140(constB193) | (~(v141(constB193) | v26(constB193)))),
% 7.80/5.32 inference(tautology,[status(thm)],[])).
% 7.80/5.32 tff(732,plain,
% 7.80/5.32 (v140(constB193)),
% 7.80/5.32 inference(unit_resolution,[status(thm)],[731, 730, 673])).
% 7.80/5.32 tff(733,plain,
% 7.80/5.32 ((~((~v139(constB193)) <=> v140(constB193))) | (~v139(constB193)) | (~v140(constB193))),
% 7.80/5.32 inference(tautology,[status(thm)],[])).
% 7.80/5.32 tff(734,plain,
% 7.80/5.32 (~v139(constB193)),
% 7.80/5.32 inference(unit_resolution,[status(thm)],[733, 732, 671])).
% 7.80/5.32 tff(735,plain,
% 7.80/5.32 (((~v132(constB193)) | (~v139(constB193))) | v139(constB193)),
% 7.80/5.32 inference(tautology,[status(thm)],[])).
% 7.80/5.32 tff(736,plain,
% 7.80/5.32 ((~v132(constB193)) | (~v139(constB193))),
% 7.80/5.32 inference(unit_resolution,[status(thm)],[735, 734])).
% 7.80/5.32 tff(737,plain,
% 7.80/5.32 ((~(v138(constB193) <=> (~((~v132(constB193)) | (~v139(constB193)))))) | (~v138(constB193)) | (~((~v132(constB193)) | (~v139(constB193))))),
% 7.80/5.32 inference(tautology,[status(thm)],[])).
% 7.80/5.32 tff(738,plain,
% 7.80/5.32 (~v138(constB193)),
% 7.80/5.32 inference(unit_resolution,[status(thm)],[737, 736, 669])).
% 7.80/5.32 tff(739,plain,
% 7.80/5.32 ((~![VarCurr: $i] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB193) <=> (~((~v143(constB193)) | (~v144(constB193)))))),
% 7.80/5.32 inference(quant_inst,[status(thm)],[])).
% 7.80/5.32 tff(740,plain,
% 7.80/5.32 (v142(constB193) <=> (~((~v143(constB193)) | (~v144(constB193))))),
% 7.80/5.32 inference(unit_resolution,[status(thm)],[739, 596])).
% 7.80/5.32 tff(741,plain,
% 7.80/5.32 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB193) <=> (~((~v141(constB193)) | (~v145(constB193)))))),
% 7.80/5.32 inference(quant_inst,[status(thm)],[])).
% 7.80/5.32 tff(742,plain,
% 7.80/5.32 (v144(constB193) <=> (~((~v141(constB193)) | (~v145(constB193))))),
% 7.80/5.32 inference(unit_resolution,[status(thm)],[741, 608])).
% 7.80/5.32 tff(743,plain,
% 7.80/5.32 (^[VarCurr: $i] : refl((v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0))))) <=> (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0))))))),
% 7.80/5.32 inference(bind,[status(th)],[])).
% 7.80/5.32 tff(744,plain,
% 7.80/5.32 (![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0))))) <=> ![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))),
% 7.80/5.32 inference(quant_intro,[status(thm)],[743])).
% 7.80/5.32 tff(745,plain,
% 7.80/5.32 (^[VarCurr: $i] : rewrite((v145(VarCurr) <=> ((~v84(VarCurr, bitIndex2)) & (~v84(VarCurr, bitIndex1)) & v84(VarCurr, bitIndex0))) <=> (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0))))))),
% 7.80/5.32 inference(bind,[status(th)],[])).
% 7.80/5.32 tff(746,plain,
% 7.80/5.32 (![VarCurr: $i] : (v145(VarCurr) <=> ((~v84(VarCurr, bitIndex2)) & (~v84(VarCurr, bitIndex1)) & v84(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))),
% 7.80/5.32 inference(quant_intro,[status(thm)],[745])).
% 7.80/5.32 tff(747,plain,
% 7.80/5.32 (![VarCurr: $i] : (v145(VarCurr) <=> ((~v84(VarCurr, bitIndex2)) & (~v84(VarCurr, bitIndex1)) & v84(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : (v145(VarCurr) <=> ((~v84(VarCurr, bitIndex2)) & (~v84(VarCurr, bitIndex1)) & v84(VarCurr, bitIndex0)))),
% 7.80/5.32 inference(rewrite,[status(thm)],[])).
% 7.80/5.32 tff(748,plain,
% 7.80/5.32 (^[VarCurr: $i] : rewrite((v145(VarCurr) <=> (((v84(VarCurr, bitIndex2) <=> $false) & (v84(VarCurr, bitIndex1) <=> $false)) & (v84(VarCurr, bitIndex0) <=> $true))) <=> (v145(VarCurr) <=> ((~v84(VarCurr, bitIndex2)) & (~v84(VarCurr, bitIndex1)) & v84(VarCurr, bitIndex0))))),
% 7.80/5.32 inference(bind,[status(th)],[])).
% 7.80/5.32 tff(749,plain,
% 7.80/5.32 (![VarCurr: $i] : (v145(VarCurr) <=> (((v84(VarCurr, bitIndex2) <=> $false) & (v84(VarCurr, bitIndex1) <=> $false)) & (v84(VarCurr, bitIndex0) <=> $true))) <=> ![VarCurr: $i] : (v145(VarCurr) <=> ((~v84(VarCurr, bitIndex2)) & (~v84(VarCurr, bitIndex1)) & v84(VarCurr, bitIndex0)))),
% 7.80/5.32 inference(quant_intro,[status(thm)],[748])).
% 7.80/5.32 tff(750,axiom,(![VarCurr: $i] : (v145(VarCurr) <=> (((v84(VarCurr, bitIndex2) <=> $false) & (v84(VarCurr, bitIndex1) <=> $false)) & (v84(VarCurr, bitIndex0) <=> $true)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_9')).
% 7.80/5.32 tff(751,plain,
% 7.80/5.32 (![VarCurr: $i] : (v145(VarCurr) <=> ((~v84(VarCurr, bitIndex2)) & (~v84(VarCurr, bitIndex1)) & v84(VarCurr, bitIndex0)))),
% 7.80/5.32 inference(modus_ponens,[status(thm)],[750, 749])).
% 7.80/5.32 tff(752,plain,
% 7.80/5.32 (![VarCurr: $i] : (v145(VarCurr) <=> ((~v84(VarCurr, bitIndex2)) & (~v84(VarCurr, bitIndex1)) & v84(VarCurr, bitIndex0)))),
% 7.80/5.32 inference(modus_ponens,[status(thm)],[751, 747])).
% 7.80/5.32 tff(753,plain,(
% 7.80/5.32 ![VarCurr: $i] : (v145(VarCurr) <=> ((~v84(VarCurr, bitIndex2)) & (~v84(VarCurr, bitIndex1)) & v84(VarCurr, bitIndex0)))),
% 7.80/5.32 inference(skolemize,[status(sab)],[752])).
% 7.80/5.32 tff(754,plain,
% 7.80/5.32 (![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))),
% 7.80/5.32 inference(modus_ponens,[status(thm)],[753, 746])).
% 7.80/5.32 tff(755,plain,
% 7.80/5.32 (![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))),
% 7.80/5.32 inference(modus_ponens,[status(thm)],[754, 744])).
% 7.80/5.32 tff(756,plain,
% 7.80/5.32 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB193) <=> (~(v84(constB193, bitIndex2) | v84(constB193, bitIndex1) | (~v84(constB193, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB193) <=> (~(v84(constB193, bitIndex2) | v84(constB193, bitIndex1) | (~v84(constB193, bitIndex0))))))),
% 7.80/5.32 inference(rewrite,[status(thm)],[])).
% 7.80/5.32 tff(757,plain,
% 7.80/5.32 ((v145(constB193) <=> (~(v84(constB193, bitIndex1) | v84(constB193, bitIndex2) | (~v84(constB193, bitIndex0))))) <=> (v145(constB193) <=> (~(v84(constB193, bitIndex2) | v84(constB193, bitIndex1) | (~v84(constB193, bitIndex0)))))),
% 7.80/5.32 inference(rewrite,[status(thm)],[])).
% 7.80/5.32 tff(758,plain,
% 7.80/5.32 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB193) <=> (~(v84(constB193, bitIndex1) | v84(constB193, bitIndex2) | (~v84(constB193, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB193) <=> (~(v84(constB193, bitIndex2) | v84(constB193, bitIndex1) | (~v84(constB193, bitIndex0))))))),
% 7.80/5.32 inference(monotonicity,[status(thm)],[757])).
% 7.80/5.32 tff(759,plain,
% 7.80/5.32 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB193) <=> (~(v84(constB193, bitIndex1) | v84(constB193, bitIndex2) | (~v84(constB193, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB193) <=> (~(v84(constB193, bitIndex2) | v84(constB193, bitIndex1) | (~v84(constB193, bitIndex0))))))),
% 7.80/5.32 inference(transitivity,[status(thm)],[758, 756])).
% 7.80/5.32 tff(760,plain,
% 7.80/5.32 ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB193) <=> (~(v84(constB193, bitIndex1) | v84(constB193, bitIndex2) | (~v84(constB193, bitIndex0)))))),
% 7.80/5.32 inference(quant_inst,[status(thm)],[])).
% 7.80/5.32 tff(761,plain,
% 7.80/5.32 ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB193) <=> (~(v84(constB193, bitIndex2) | v84(constB193, bitIndex1) | (~v84(constB193, bitIndex0)))))),
% 7.80/5.32 inference(modus_ponens,[status(thm)],[760, 759])).
% 7.80/5.32 tff(762,plain,
% 7.80/5.32 (v145(constB193) <=> (~(v84(constB193, bitIndex2) | v84(constB193, bitIndex1) | (~v84(constB193, bitIndex0))))),
% 7.80/5.32 inference(unit_resolution,[status(thm)],[761, 755])).
% 7.80/5.32 tff(763,plain,
% 7.80/5.32 (^[VarCurr: $i, VarNext: $i] : refl(((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext)))))) <=> ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext)))))))),
% 7.80/5.32 inference(bind,[status(th)],[])).
% 7.80/5.32 tff(764,plain,
% 7.80/5.32 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext)))))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))),
% 7.80/5.32 inference(quant_intro,[status(thm)],[763])).
% 7.80/5.32 tff(765,plain,
% 7.80/5.32 (^[VarCurr: $i, VarNext: $i] : rewrite(((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (v95(VarNext) & v104(VarNext)))) <=> ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext)))))))),
% 7.80/5.32 inference(bind,[status(th)],[])).
% 7.80/5.32 tff(766,plain,
% 7.80/5.32 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (v95(VarNext) & v104(VarNext)))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))),
% 7.80/5.32 inference(quant_intro,[status(thm)],[765])).
% 7.80/5.32 tff(767,plain,
% 7.80/5.32 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (v95(VarNext) & v104(VarNext)))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (v95(VarNext) & v104(VarNext))))),
% 7.80/5.32 inference(rewrite,[status(thm)],[])).
% 7.80/5.32 tff(768,plain,
% 7.80/5.32 (^[VarCurr: $i, VarNext: $i] : rewrite((nextState(VarCurr, VarNext) => (v94(VarNext) <=> (v95(VarNext) & v104(VarNext)))) <=> ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (v95(VarNext) & v104(VarNext)))))),
% 7.80/5.32 inference(bind,[status(th)],[])).
% 7.80/5.32 tff(769,plain,
% 7.80/5.32 (![VarCurr: $i, VarNext: $i] : (nextState(VarCurr, VarNext) => (v94(VarNext) <=> (v95(VarNext) & v104(VarNext)))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (v95(VarNext) & v104(VarNext))))),
% 7.80/5.32 inference(quant_intro,[status(thm)],[768])).
% 7.80/5.32 tff(770,axiom,(![VarCurr: $i, VarNext: $i] : (nextState(VarCurr, VarNext) => (v94(VarNext) <=> (v95(VarNext) & v104(VarNext))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_27')).
% 7.80/5.32 tff(771,plain,
% 7.80/5.32 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (v95(VarNext) & v104(VarNext))))),
% 7.80/5.32 inference(modus_ponens,[status(thm)],[770, 769])).
% 7.80/5.32 tff(772,plain,
% 7.80/5.32 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (v95(VarNext) & v104(VarNext))))),
% 7.80/5.32 inference(modus_ponens,[status(thm)],[771, 767])).
% 7.80/5.32 tff(773,plain,(
% 7.80/5.32 ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (v95(VarNext) & v104(VarNext))))),
% 7.80/5.32 inference(skolemize,[status(sab)],[772])).
% 7.80/5.32 tff(774,plain,
% 7.80/5.32 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))),
% 7.80/5.32 inference(modus_ponens,[status(thm)],[773, 766])).
% 7.80/5.32 tff(775,plain,
% 7.80/5.32 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))),
% 7.80/5.32 inference(modus_ponens,[status(thm)],[774, 764])).
% 7.80/5.32 tff(776,plain,
% 7.80/5.32 (nextState(constB192, constB193) <=> nextState(constB192, constB193)),
% 7.80/5.32 inference(rewrite,[status(thm)],[])).
% 7.80/5.32 tff(777,axiom,(nextState(constB192, constB193)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_192')).
% 7.80/5.32 tff(778,plain,
% 7.80/5.32 (nextState(constB192, constB193)),
% 7.80/5.32 inference(modus_ponens,[status(thm)],[777, 776])).
% 7.80/5.32 tff(779,plain,
% 7.80/5.32 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB192, constB193)) | (v94(constB193) <=> (~((~v104(constB193)) | (~v95(constB193))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB192, constB193)) | (v94(constB193) <=> (~((~v104(constB193)) | (~v95(constB193))))))),
% 7.80/5.32 inference(rewrite,[status(thm)],[])).
% 7.80/5.32 tff(780,plain,
% 7.80/5.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB192, constB193)) | (v94(constB193) <=> (~((~v104(constB193)) | (~v95(constB193))))))),
% 7.80/5.32 inference(quant_inst,[status(thm)],[])).
% 7.80/5.32 tff(781,plain,
% 7.80/5.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB192, constB193)) | (v94(constB193) <=> (~((~v104(constB193)) | (~v95(constB193)))))),
% 7.80/5.32 inference(modus_ponens,[status(thm)],[780, 779])).
% 7.80/5.32 tff(782,plain,
% 7.80/5.32 (v94(constB193) <=> (~((~v104(constB193)) | (~v95(constB193))))),
% 7.80/5.32 inference(unit_resolution,[status(thm)],[781, 778, 775])).
% 7.80/5.32 tff(783,plain,
% 7.80/5.32 (^[VarCurr: $i, VarNext: $i] : refl(((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext)))))) <=> ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext)))))))),
% 7.80/5.32 inference(bind,[status(th)],[])).
% 7.80/5.32 tff(784,plain,
% 7.80/5.32 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext)))))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))),
% 7.80/5.32 inference(quant_intro,[status(thm)],[783])).
% 7.80/5.32 tff(785,plain,
% 7.80/5.32 (^[VarCurr: $i, VarNext: $i] : rewrite(((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (v96(VarNext) & v1(VarNext)))) <=> ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext)))))))),
% 7.80/5.32 inference(bind,[status(th)],[])).
% 7.80/5.32 tff(786,plain,
% 7.80/5.32 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (v96(VarNext) & v1(VarNext)))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))),
% 7.80/5.32 inference(quant_intro,[status(thm)],[785])).
% 7.80/5.32 tff(787,plain,
% 7.80/5.32 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (v96(VarNext) & v1(VarNext)))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (v96(VarNext) & v1(VarNext))))),
% 7.80/5.32 inference(rewrite,[status(thm)],[])).
% 7.80/5.32 tff(788,plain,
% 7.80/5.32 (^[VarCurr: $i, VarNext: $i] : rewrite((nextState(VarCurr, VarNext) => (v95(VarNext) <=> (v96(VarNext) & v1(VarNext)))) <=> ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (v96(VarNext) & v1(VarNext)))))),
% 7.80/5.32 inference(bind,[status(th)],[])).
% 7.80/5.32 tff(789,plain,
% 7.80/5.32 (![VarCurr: $i, VarNext: $i] : (nextState(VarCurr, VarNext) => (v95(VarNext) <=> (v96(VarNext) & v1(VarNext)))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (v96(VarNext) & v1(VarNext))))),
% 7.80/5.32 inference(quant_intro,[status(thm)],[788])).
% 7.80/5.32 tff(790,axiom,(![VarCurr: $i, VarNext: $i] : (nextState(VarCurr, VarNext) => (v95(VarNext) <=> (v96(VarNext) & v1(VarNext))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_18')).
% 7.80/5.32 tff(791,plain,
% 7.80/5.32 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (v96(VarNext) & v1(VarNext))))),
% 7.80/5.32 inference(modus_ponens,[status(thm)],[790, 789])).
% 7.80/5.32 tff(792,plain,
% 7.80/5.32 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (v96(VarNext) & v1(VarNext))))),
% 7.80/5.32 inference(modus_ponens,[status(thm)],[791, 787])).
% 7.80/5.32 tff(793,plain,(
% 7.80/5.32 ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (v96(VarNext) & v1(VarNext))))),
% 7.80/5.32 inference(skolemize,[status(sab)],[792])).
% 7.80/5.32 tff(794,plain,
% 7.80/5.32 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))),
% 7.80/5.32 inference(modus_ponens,[status(thm)],[793, 786])).
% 7.80/5.32 tff(795,plain,
% 7.80/5.32 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))),
% 7.80/5.32 inference(modus_ponens,[status(thm)],[794, 784])).
% 7.80/5.32 tff(796,plain,
% 7.80/5.32 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB192, constB193)) | (v95(constB193) <=> (~((~v1(constB193)) | (~v96(constB193))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB192, constB193)) | (v95(constB193) <=> (~((~v1(constB193)) | (~v96(constB193))))))),
% 7.80/5.32 inference(rewrite,[status(thm)],[])).
% 7.80/5.32 tff(797,plain,
% 7.80/5.32 (((~nextState(constB192, constB193)) | (v95(constB193) <=> (~((~v96(constB193)) | (~v1(constB193)))))) <=> ((~nextState(constB192, constB193)) | (v95(constB193) <=> (~((~v1(constB193)) | (~v96(constB193))))))),
% 7.80/5.32 inference(rewrite,[status(thm)],[])).
% 7.80/5.32 tff(798,plain,
% 7.80/5.32 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB192, constB193)) | (v95(constB193) <=> (~((~v96(constB193)) | (~v1(constB193))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB192, constB193)) | (v95(constB193) <=> (~((~v1(constB193)) | (~v96(constB193)))))))),
% 7.80/5.32 inference(monotonicity,[status(thm)],[797])).
% 7.80/5.32 tff(799,plain,
% 7.80/5.32 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB192, constB193)) | (v95(constB193) <=> (~((~v96(constB193)) | (~v1(constB193))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB192, constB193)) | (v95(constB193) <=> (~((~v1(constB193)) | (~v96(constB193))))))),
% 7.80/5.32 inference(transitivity,[status(thm)],[798, 796])).
% 7.80/5.32 tff(800,plain,
% 7.80/5.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB192, constB193)) | (v95(constB193) <=> (~((~v96(constB193)) | (~v1(constB193))))))),
% 7.80/5.32 inference(quant_inst,[status(thm)],[])).
% 7.80/5.32 tff(801,plain,
% 7.80/5.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB192, constB193)) | (v95(constB193) <=> (~((~v1(constB193)) | (~v96(constB193)))))),
% 7.80/5.32 inference(modus_ponens,[status(thm)],[800, 799])).
% 7.80/5.32 tff(802,plain,
% 7.80/5.32 (v95(constB193) <=> (~((~v1(constB193)) | (~v96(constB193))))),
% 7.80/5.32 inference(unit_resolution,[status(thm)],[801, 778, 795])).
% 7.80/5.32 tff(803,plain,
% 7.80/5.32 (((~v1(constB193)) | (~v96(constB193))) | v1(constB193)),
% 7.80/5.32 inference(tautology,[status(thm)],[])).
% 7.80/5.32 tff(804,plain,
% 7.80/5.32 ((~v1(constB193)) | (~v96(constB193))),
% 7.80/5.32 inference(unit_resolution,[status(thm)],[803, 720])).
% 7.80/5.32 tff(805,plain,
% 7.80/5.32 ((~(v95(constB193) <=> (~((~v1(constB193)) | (~v96(constB193)))))) | (~v95(constB193)) | (~((~v1(constB193)) | (~v96(constB193))))),
% 7.80/5.32 inference(tautology,[status(thm)],[])).
% 7.80/5.32 tff(806,plain,
% 7.80/5.32 ((~(v95(constB193) <=> (~((~v1(constB193)) | (~v96(constB193)))))) | (~v95(constB193))),
% 7.80/5.32 inference(unit_resolution,[status(thm)],[805, 804])).
% 7.80/5.32 tff(807,plain,
% 7.80/5.32 (~v95(constB193)),
% 7.80/5.32 inference(unit_resolution,[status(thm)],[806, 802])).
% 7.80/5.32 tff(808,plain,
% 7.80/5.32 (((~v104(constB193)) | (~v95(constB193))) | v95(constB193)),
% 7.80/5.32 inference(tautology,[status(thm)],[])).
% 7.80/5.32 tff(809,plain,
% 7.80/5.32 ((~v104(constB193)) | (~v95(constB193))),
% 7.80/5.32 inference(unit_resolution,[status(thm)],[808, 807])).
% 7.80/5.32 tff(810,plain,
% 7.80/5.32 ((~(v94(constB193) <=> (~((~v104(constB193)) | (~v95(constB193)))))) | (~v94(constB193)) | (~((~v104(constB193)) | (~v95(constB193))))),
% 7.80/5.32 inference(tautology,[status(thm)],[])).
% 7.80/5.32 tff(811,plain,
% 7.80/5.32 (~v94(constB193)),
% 7.80/5.32 inference(unit_resolution,[status(thm)],[810, 809, 782])).
% 7.80/5.32 tff(812,plain,
% 7.80/5.32 (^[VarCurr: $i, VarNext: $i] : refl((v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B)))) <=> (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B)))))),
% 7.80/5.32 inference(bind,[status(th)],[])).
% 7.80/5.32 tff(813,plain,
% 7.80/5.32 (![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B)))) <=> ![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))),
% 7.80/5.32 inference(quant_intro,[status(thm)],[812])).
% 7.80/5.32 tff(814,plain,
% 7.80/5.32 (^[VarCurr: $i, VarNext: $i] : rewrite((v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B)))) <=> (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B)))))),
% 7.80/5.32 inference(bind,[status(th)],[])).
% 7.80/5.32 tff(815,plain,
% 7.80/5.32 (![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B)))) <=> ![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))),
% 7.80/5.32 inference(quant_intro,[status(thm)],[814])).
% 7.80/5.32 tff(816,plain,
% 7.80/5.32 (![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B)))) <=> ![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))),
% 7.80/5.32 inference(transitivity,[status(thm)],[815, 813])).
% 7.80/5.32 tff(817,plain,
% 7.80/5.32 (![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B)))) <=> ![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))),
% 7.80/5.32 inference(rewrite,[status(thm)],[])).
% 7.80/5.32 tff(818,plain,
% 7.80/5.32 (^[VarCurr: $i, VarNext: $i] : trans(monotonicity(trans(monotonicity(quant_intro(proof_bind(^[B: $i] : rewrite((less_3(B) => (v84(VarNext, B) <=> v84(VarCurr, B))) <=> ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))), (![B: $i] : (less_3(B) => (v84(VarNext, B) <=> v84(VarCurr, B))) <=> ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))), (((~v94(VarNext)) => ![B: $i] : (less_3(B) => (v84(VarNext, B) <=> v84(VarCurr, B)))) <=> ((~v94(VarNext)) => ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B)))))), rewrite(((~v94(VarNext)) => ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B)))) <=> (v94(VarNext) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))), (((~v94(VarNext)) => ![B: $i] : (less_3(B) => (v84(VarNext, B) <=> v84(VarCurr, B)))) <=> (v94(VarNext) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B)))))), ((nextState(VarCurr, VarNext) => ((~v94(VarNext)) => ![B: $i] : (less_3(B) => (v84(VarNext, B) <=> v84(VarCurr, B))))) <=> (nextState(VarCurr, VarNext) => (v94(VarNext) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))))), rewrite((nextState(VarCurr, VarNext) => (v94(VarNext) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) <=> (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))), ((nextState(VarCurr, VarNext) => ((~v94(VarNext)) => ![B: $i] : (less_3(B) => (v84(VarNext, B) <=> v84(VarCurr, B))))) <=> (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))))),
% 7.80/5.32 inference(bind,[status(th)],[])).
% 7.80/5.32 tff(819,plain,
% 7.80/5.32 (![VarCurr: $i, VarNext: $i] : (nextState(VarCurr, VarNext) => ((~v94(VarNext)) => ![B: $i] : (less_3(B) => (v84(VarNext, B) <=> v84(VarCurr, B))))) <=> ![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))),
% 7.80/5.32 inference(quant_intro,[status(thm)],[818])).
% 7.80/5.32 tff(820,axiom,(![VarCurr: $i, VarNext: $i] : (nextState(VarCurr, VarNext) => ((~v94(VarNext)) => ![B: $i] : (less_3(B) => (v84(VarNext, B) <=> v84(VarCurr, B)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges1')).
% 7.80/5.32 tff(821,plain,
% 7.80/5.32 (![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))),
% 7.80/5.32 inference(modus_ponens,[status(thm)],[820, 819])).
% 7.80/5.32 tff(822,plain,
% 7.80/5.32 (![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))),
% 7.80/5.32 inference(modus_ponens,[status(thm)],[821, 817])).
% 7.80/5.32 tff(823,plain,(
% 7.80/5.32 ![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))),
% 7.80/5.32 inference(skolemize,[status(sab)],[822])).
% 7.80/5.32 tff(824,plain,
% 7.80/5.32 (![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))),
% 7.80/5.32 inference(modus_ponens,[status(thm)],[823, 816])).
% 7.80/5.32 tff(825,plain,
% 7.80/5.32 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB193) | (~nextState(constB192, constB193)) | ![B: $i] : ((~less_3(B)) | (v84(constB193, B) <=> v84(constB192, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB193) | (~nextState(constB192, constB193)) | ![B: $i] : ((~less_3(B)) | (v84(constB193, B) <=> v84(constB192, B))))),
% 7.80/5.32 inference(rewrite,[status(thm)],[])).
% 7.80/5.32 tff(826,plain,
% 7.80/5.32 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB193) | (~nextState(constB192, constB193)) | ![B: $i] : ((~less_3(B)) | (v84(constB193, B) <=> v84(constB192, B))))),
% 7.80/5.32 inference(quant_inst,[status(thm)],[])).
% 7.80/5.32 tff(827,plain,
% 7.80/5.32 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB193) | (~nextState(constB192, constB193)) | ![B: $i] : ((~less_3(B)) | (v84(constB193, B) <=> v84(constB192, B)))),
% 7.80/5.32 inference(modus_ponens,[status(thm)],[826, 825])).
% 7.80/5.32 tff(828,plain,
% 7.80/5.32 (v94(constB193) | ![B: $i] : ((~less_3(B)) | (v84(constB193, B) <=> v84(constB192, B)))),
% 7.80/5.32 inference(unit_resolution,[status(thm)],[827, 778, 824])).
% 7.80/5.32 tff(829,plain,
% 7.80/5.32 (![B: $i] : ((~less_3(B)) | (v84(constB193, B) <=> v84(constB192, B)))),
% 7.80/5.32 inference(unit_resolution,[status(thm)],[828, 811])).
% 7.80/5.32 tff(830,plain,
% 7.80/5.32 (less_3(bitIndex2) <=> less_3(bitIndex2)),
% 7.80/5.32 inference(rewrite,[status(thm)],[])).
% 7.80/5.32 tff(831,axiom,(less_3(bitIndex2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','lessPredicateGroundAxiom_5')).
% 7.80/5.32 tff(832,plain,
% 7.80/5.32 (less_3(bitIndex2)),
% 7.80/5.32 inference(modus_ponens,[status(thm)],[831, 830])).
% 7.80/5.32 tff(833,plain,
% 7.80/5.32 (((~![B: $i] : ((~less_3(B)) | (v84(constB193, B) <=> v84(constB192, B)))) | ((~less_3(bitIndex2)) | (v84(constB193, bitIndex2) <=> v84(constB192, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB193, B) <=> v84(constB192, B)))) | (~less_3(bitIndex2)) | (v84(constB193, bitIndex2) <=> v84(constB192, bitIndex2)))),
% 7.80/5.32 inference(rewrite,[status(thm)],[])).
% 7.80/5.32 tff(834,plain,
% 7.80/5.32 ((~![B: $i] : ((~less_3(B)) | (v84(constB193, B) <=> v84(constB192, B)))) | ((~less_3(bitIndex2)) | (v84(constB193, bitIndex2) <=> v84(constB192, bitIndex2)))),
% 7.80/5.32 inference(quant_inst,[status(thm)],[])).
% 7.80/5.32 tff(835,plain,
% 7.80/5.32 ((~![B: $i] : ((~less_3(B)) | (v84(constB193, B) <=> v84(constB192, B)))) | (~less_3(bitIndex2)) | (v84(constB193, bitIndex2) <=> v84(constB192, bitIndex2))),
% 7.80/5.32 inference(modus_ponens,[status(thm)],[834, 833])).
% 7.80/5.32 tff(836,plain,
% 7.80/5.32 (v84(constB193, bitIndex2) <=> v84(constB192, bitIndex2)),
% 7.80/5.32 inference(unit_resolution,[status(thm)],[835, 832, 829])).
% 7.80/5.32 tff(837,plain,
% 7.80/5.32 (nextState(constB191, constB192) <=> nextState(constB191, constB192)),
% 7.80/5.32 inference(rewrite,[status(thm)],[])).
% 7.80/5.32 tff(838,axiom,(nextState(constB191, constB192)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_191')).
% 7.80/5.32 tff(839,plain,
% 7.80/5.32 (nextState(constB191, constB192)),
% 7.80/5.32 inference(modus_ponens,[status(thm)],[838, 837])).
% 7.80/5.32 tff(840,plain,
% 7.80/5.32 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB191, constB192)) | (v94(constB192) <=> (~((~v104(constB192)) | (~v95(constB192))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB191, constB192)) | (v94(constB192) <=> (~((~v104(constB192)) | (~v95(constB192))))))),
% 7.80/5.32 inference(rewrite,[status(thm)],[])).
% 7.80/5.32 tff(841,plain,
% 7.80/5.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB191, constB192)) | (v94(constB192) <=> (~((~v104(constB192)) | (~v95(constB192))))))),
% 7.80/5.32 inference(quant_inst,[status(thm)],[])).
% 7.80/5.32 tff(842,plain,
% 7.80/5.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB191, constB192)) | (v94(constB192) <=> (~((~v104(constB192)) | (~v95(constB192)))))),
% 7.80/5.32 inference(modus_ponens,[status(thm)],[841, 840])).
% 7.80/5.32 tff(843,plain,
% 7.80/5.32 (v94(constB192) <=> (~((~v104(constB192)) | (~v95(constB192))))),
% 7.80/5.32 inference(unit_resolution,[status(thm)],[842, 839, 775])).
% 7.80/5.32 tff(844,plain,
% 7.80/5.32 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB191, constB192)) | (v95(constB192) <=> (~((~v1(constB192)) | (~v96(constB192))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB191, constB192)) | (v95(constB192) <=> (~((~v1(constB192)) | (~v96(constB192))))))),
% 7.80/5.32 inference(rewrite,[status(thm)],[])).
% 7.80/5.32 tff(845,plain,
% 7.80/5.32 (((~nextState(constB191, constB192)) | (v95(constB192) <=> (~((~v96(constB192)) | (~v1(constB192)))))) <=> ((~nextState(constB191, constB192)) | (v95(constB192) <=> (~((~v1(constB192)) | (~v96(constB192))))))),
% 7.80/5.32 inference(rewrite,[status(thm)],[])).
% 7.80/5.32 tff(846,plain,
% 7.80/5.32 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB191, constB192)) | (v95(constB192) <=> (~((~v96(constB192)) | (~v1(constB192))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB191, constB192)) | (v95(constB192) <=> (~((~v1(constB192)) | (~v96(constB192)))))))),
% 7.80/5.32 inference(monotonicity,[status(thm)],[845])).
% 7.80/5.32 tff(847,plain,
% 7.80/5.32 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB191, constB192)) | (v95(constB192) <=> (~((~v96(constB192)) | (~v1(constB192))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB191, constB192)) | (v95(constB192) <=> (~((~v1(constB192)) | (~v96(constB192))))))),
% 7.80/5.32 inference(transitivity,[status(thm)],[846, 844])).
% 7.80/5.32 tff(848,plain,
% 7.80/5.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB191, constB192)) | (v95(constB192) <=> (~((~v96(constB192)) | (~v1(constB192))))))),
% 7.80/5.32 inference(quant_inst,[status(thm)],[])).
% 7.80/5.32 tff(849,plain,
% 7.80/5.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB191, constB192)) | (v95(constB192) <=> (~((~v1(constB192)) | (~v96(constB192)))))),
% 7.80/5.33 inference(modus_ponens,[status(thm)],[848, 847])).
% 7.80/5.33 tff(850,plain,
% 7.80/5.33 (v95(constB192) <=> (~((~v1(constB192)) | (~v96(constB192))))),
% 7.80/5.33 inference(unit_resolution,[status(thm)],[849, 839, 795])).
% 7.80/5.33 tff(851,plain,
% 7.80/5.33 (^[VarCurr: $i, VarNext: $i] : refl(((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext))))),
% 7.80/5.33 inference(bind,[status(th)],[])).
% 7.80/5.33 tff(852,plain,
% 7.80/5.33 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))),
% 7.80/5.33 inference(quant_intro,[status(thm)],[851])).
% 7.80/5.33 tff(853,plain,
% 7.80/5.33 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))),
% 7.80/5.33 inference(rewrite,[status(thm)],[])).
% 7.80/5.33 tff(854,plain,
% 7.80/5.33 (^[VarCurr: $i, VarNext: $i] : rewrite((nextState(VarCurr, VarNext) => ((~v96(VarNext)) <=> v98(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext))))),
% 7.80/5.33 inference(bind,[status(th)],[])).
% 7.80/5.33 tff(855,plain,
% 7.80/5.33 (![VarCurr: $i, VarNext: $i] : (nextState(VarCurr, VarNext) => ((~v96(VarNext)) <=> v98(VarNext))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))),
% 7.80/5.33 inference(quant_intro,[status(thm)],[854])).
% 7.80/5.33 tff(856,axiom,(![VarCurr: $i, VarNext: $i] : (nextState(VarCurr, VarNext) => ((~v96(VarNext)) <=> v98(VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeUnaryOperator_12')).
% 7.80/5.33 tff(857,plain,
% 7.80/5.33 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))),
% 7.80/5.33 inference(modus_ponens,[status(thm)],[856, 855])).
% 7.80/5.33 tff(858,plain,
% 7.80/5.33 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))),
% 7.80/5.33 inference(modus_ponens,[status(thm)],[857, 853])).
% 7.80/5.33 tff(859,plain,(
% 7.80/5.33 ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))),
% 7.80/5.33 inference(skolemize,[status(sab)],[858])).
% 7.80/5.33 tff(860,plain,
% 7.80/5.33 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))),
% 7.80/5.33 inference(modus_ponens,[status(thm)],[859, 852])).
% 7.80/5.33 tff(861,plain,
% 7.80/5.33 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB191, constB192)) | ((~v96(constB192)) <=> v98(constB192)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB191, constB192)) | ((~v96(constB192)) <=> v98(constB192)))),
% 7.80/5.33 inference(rewrite,[status(thm)],[])).
% 7.80/5.33 tff(862,plain,
% 7.80/5.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB191, constB192)) | ((~v96(constB192)) <=> v98(constB192)))),
% 7.80/5.33 inference(quant_inst,[status(thm)],[])).
% 7.80/5.33 tff(863,plain,
% 7.80/5.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB191, constB192)) | ((~v96(constB192)) <=> v98(constB192))),
% 7.80/5.33 inference(modus_ponens,[status(thm)],[862, 861])).
% 7.80/5.33 tff(864,plain,
% 7.80/5.33 ((~v96(constB192)) <=> v98(constB192)),
% 7.80/5.33 inference(unit_resolution,[status(thm)],[863, 839, 860])).
% 7.80/5.33 tff(865,plain,
% 7.80/5.33 (^[VarCurr: $i, VarNext: $i] : refl(((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr))))),
% 7.80/5.33 inference(bind,[status(th)],[])).
% 7.80/5.33 tff(866,plain,
% 7.80/5.33 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))),
% 7.80/5.33 inference(quant_intro,[status(thm)],[865])).
% 7.80/5.33 tff(867,plain,
% 7.80/5.33 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))),
% 7.80/5.33 inference(rewrite,[status(thm)],[])).
% 7.80/5.33 tff(868,plain,
% 7.80/5.33 (^[VarCurr: $i, VarNext: $i] : rewrite((nextState(VarCurr, VarNext) => (v98(VarNext) <=> v1(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr))))),
% 7.80/5.33 inference(bind,[status(th)],[])).
% 7.80/5.33 tff(869,plain,
% 7.80/5.33 (![VarCurr: $i, VarNext: $i] : (nextState(VarCurr, VarNext) => (v98(VarNext) <=> v1(VarCurr))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))),
% 7.80/5.33 inference(quant_intro,[status(thm)],[868])).
% 7.80/5.33 tff(870,axiom,(![VarCurr: $i, VarNext: $i] : (nextState(VarCurr, VarNext) => (v98(VarNext) <=> v1(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_5')).
% 7.80/5.33 tff(871,plain,
% 7.80/5.33 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))),
% 7.80/5.33 inference(modus_ponens,[status(thm)],[870, 869])).
% 7.80/5.33 tff(872,plain,
% 7.80/5.33 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))),
% 7.80/5.33 inference(modus_ponens,[status(thm)],[871, 867])).
% 7.80/5.33 tff(873,plain,(
% 7.80/5.33 ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))),
% 7.80/5.33 inference(skolemize,[status(sab)],[872])).
% 7.80/5.33 tff(874,plain,
% 7.80/5.33 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))),
% 7.80/5.33 inference(modus_ponens,[status(thm)],[873, 866])).
% 7.80/5.33 tff(875,plain,
% 7.80/5.33 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB191, constB192)) | (v98(constB192) <=> v1(constB191)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB191, constB192)) | (v98(constB192) <=> v1(constB191)))),
% 7.80/5.33 inference(rewrite,[status(thm)],[])).
% 7.80/5.33 tff(876,plain,
% 7.80/5.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB191, constB192)) | (v98(constB192) <=> v1(constB191)))),
% 7.80/5.33 inference(quant_inst,[status(thm)],[])).
% 7.80/5.33 tff(877,plain,
% 7.80/5.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB191, constB192)) | (v98(constB192) <=> v1(constB191))),
% 7.80/5.33 inference(modus_ponens,[status(thm)],[876, 875])).
% 7.80/5.33 tff(878,plain,
% 7.80/5.33 (v98(constB192) <=> v1(constB191)),
% 7.80/5.33 inference(unit_resolution,[status(thm)],[877, 839, 874])).
% 7.80/5.33 tff(879,plain,
% 7.80/5.33 ((~v1(constB191)) <=> (~v1(constB191))),
% 7.80/5.33 inference(rewrite,[status(thm)],[])).
% 7.80/5.33 tff(880,axiom,(~v1(constB191)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_191')).
% 7.80/5.33 tff(881,plain,
% 7.80/5.33 (~v1(constB191)),
% 7.80/5.33 inference(modus_ponens,[status(thm)],[880, 879])).
% 7.80/5.33 tff(882,plain,
% 7.80/5.33 ((~(v98(constB192) <=> v1(constB191))) | (~v98(constB192)) | v1(constB191)),
% 7.80/5.33 inference(tautology,[status(thm)],[])).
% 7.80/5.33 tff(883,plain,
% 7.80/5.33 ((~(v98(constB192) <=> v1(constB191))) | (~v98(constB192))),
% 7.80/5.33 inference(unit_resolution,[status(thm)],[882, 881])).
% 7.80/5.33 tff(884,plain,
% 7.80/5.33 (~v98(constB192)),
% 7.80/5.33 inference(unit_resolution,[status(thm)],[883, 878])).
% 7.80/5.33 tff(885,plain,
% 7.80/5.33 ((~((~v96(constB192)) <=> v98(constB192))) | v96(constB192) | v98(constB192)),
% 7.80/5.33 inference(tautology,[status(thm)],[])).
% 7.80/5.33 tff(886,plain,
% 7.80/5.33 (v96(constB192)),
% 7.80/5.33 inference(unit_resolution,[status(thm)],[885, 884, 864])).
% 7.80/5.33 tff(887,plain,
% 7.80/5.33 (v1(constB192) <=> v1(constB192)),
% 7.80/5.33 inference(rewrite,[status(thm)],[])).
% 7.80/5.33 tff(888,axiom,(v1(constB192)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_192')).
% 7.80/5.33 tff(889,plain,
% 7.80/5.33 (v1(constB192)),
% 7.80/5.33 inference(modus_ponens,[status(thm)],[888, 887])).
% 7.80/5.33 tff(890,plain,
% 7.80/5.33 ((~((~v1(constB192)) | (~v96(constB192)))) | (~v1(constB192)) | (~v96(constB192))),
% 7.80/5.33 inference(tautology,[status(thm)],[])).
% 7.80/5.33 tff(891,plain,
% 7.80/5.33 ((~((~v1(constB192)) | (~v96(constB192)))) | (~v96(constB192))),
% 7.80/5.33 inference(unit_resolution,[status(thm)],[890, 889])).
% 7.80/5.33 tff(892,plain,
% 7.80/5.33 (~((~v1(constB192)) | (~v96(constB192)))),
% 7.80/5.33 inference(unit_resolution,[status(thm)],[891, 886])).
% 7.80/5.33 tff(893,plain,
% 7.80/5.33 ((~(v95(constB192) <=> (~((~v1(constB192)) | (~v96(constB192)))))) | v95(constB192) | ((~v1(constB192)) | (~v96(constB192)))),
% 7.80/5.33 inference(tautology,[status(thm)],[])).
% 7.80/5.33 tff(894,plain,
% 7.80/5.33 (v95(constB192)),
% 7.80/5.33 inference(unit_resolution,[status(thm)],[893, 892, 850])).
% 7.80/5.33 tff(895,plain,
% 7.80/5.33 (^[VarCurr: $i, VarNext: $i] : refl(((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr))))),
% 7.80/5.33 inference(bind,[status(th)],[])).
% 7.80/5.33 tff(896,plain,
% 7.80/5.33 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))),
% 7.80/5.33 inference(quant_intro,[status(thm)],[895])).
% 7.80/5.33 tff(897,plain,
% 7.80/5.33 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))),
% 7.80/5.33 inference(rewrite,[status(thm)],[])).
% 7.80/5.33 tff(898,plain,
% 7.80/5.33 (^[VarCurr: $i, VarNext: $i] : rewrite((nextState(VarCurr, VarNext) => (v104(VarNext) <=> v102(VarCurr))) <=> ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr))))),
% 7.80/5.33 inference(bind,[status(th)],[])).
% 7.80/5.33 tff(899,plain,
% 7.80/5.33 (![VarCurr: $i, VarNext: $i] : (nextState(VarCurr, VarNext) => (v104(VarNext) <=> v102(VarCurr))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))),
% 7.80/5.33 inference(quant_intro,[status(thm)],[898])).
% 7.80/5.33 tff(900,axiom,(![VarCurr: $i, VarNext: $i] : (nextState(VarCurr, VarNext) => (v104(VarNext) <=> v102(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_6')).
% 7.80/5.33 tff(901,plain,
% 7.80/5.33 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))),
% 7.80/5.33 inference(modus_ponens,[status(thm)],[900, 899])).
% 7.80/5.33 tff(902,plain,
% 7.80/5.33 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))),
% 7.80/5.33 inference(modus_ponens,[status(thm)],[901, 897])).
% 7.80/5.33 tff(903,plain,(
% 7.80/5.33 ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))),
% 7.80/5.33 inference(skolemize,[status(sab)],[902])).
% 7.80/5.33 tff(904,plain,
% 7.80/5.33 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))),
% 7.80/5.33 inference(modus_ponens,[status(thm)],[903, 896])).
% 7.80/5.33 tff(905,plain,
% 7.80/5.33 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB191, constB192)) | (v104(constB192) <=> v102(constB191)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB191, constB192)) | (v104(constB192) <=> v102(constB191)))),
% 7.80/5.33 inference(rewrite,[status(thm)],[])).
% 7.80/5.33 tff(906,plain,
% 7.80/5.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB191, constB192)) | (v104(constB192) <=> v102(constB191)))),
% 7.80/5.33 inference(quant_inst,[status(thm)],[])).
% 7.80/5.33 tff(907,plain,
% 7.80/5.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB191, constB192)) | (v104(constB192) <=> v102(constB191))),
% 7.80/5.33 inference(modus_ponens,[status(thm)],[906, 905])).
% 7.80/5.33 tff(908,plain,
% 7.80/5.33 (v104(constB192) <=> v102(constB191)),
% 7.80/5.33 inference(unit_resolution,[status(thm)],[907, 839, 904])).
% 7.80/5.33 tff(909,plain,
% 7.80/5.33 (^[VarCurr: $i] : refl((v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr))) <=> (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr))))),
% 7.80/5.33 inference(bind,[status(th)],[])).
% 7.80/5.33 tff(910,plain,
% 7.80/5.33 (![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr))) <=> ![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))),
% 7.80/5.33 inference(quant_intro,[status(thm)],[909])).
% 7.80/5.33 tff(911,plain,
% 7.80/5.33 (![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr))) <=> ![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))),
% 7.80/5.33 inference(rewrite,[status(thm)],[])).
% 7.80/5.33 tff(912,axiom,(![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_26')).
% 7.80/5.33 tff(913,plain,
% 7.80/5.33 (![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))),
% 7.80/5.33 inference(modus_ponens,[status(thm)],[912, 911])).
% 7.80/5.33 tff(914,plain,(
% 7.80/5.33 ![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))),
% 7.80/5.33 inference(skolemize,[status(sab)],[913])).
% 7.80/5.33 tff(915,plain,
% 7.80/5.33 (![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))),
% 7.80/5.33 inference(modus_ponens,[status(thm)],[914, 910])).
% 7.80/5.33 tff(916,plain,
% 7.80/5.33 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB191) <=> (v105(constB191) | v106(constB191)))),
% 7.80/5.33 inference(quant_inst,[status(thm)],[])).
% 7.80/5.33 tff(917,plain,
% 7.80/5.33 (v102(constB191) <=> (v105(constB191) | v106(constB191))),
% 7.80/5.33 inference(unit_resolution,[status(thm)],[916, 915])).
% 7.80/5.33 tff(918,plain,
% 7.80/5.33 (^[VarCurr: $i] : refl((v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr))))) <=> (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr))))))),
% 7.80/5.33 inference(bind,[status(th)],[])).
% 7.80/5.33 tff(919,plain,
% 7.80/5.33 (![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr))))) <=> ![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))),
% 7.80/5.33 inference(quant_intro,[status(thm)],[918])).
% 7.80/5.33 tff(920,plain,
% 7.80/5.33 (^[VarCurr: $i] : rewrite((v106(VarCurr) <=> (v107(VarCurr) & v120(VarCurr))) <=> (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr))))))),
% 7.80/5.33 inference(bind,[status(th)],[])).
% 7.80/5.33 tff(921,plain,
% 7.80/5.33 (![VarCurr: $i] : (v106(VarCurr) <=> (v107(VarCurr) & v120(VarCurr))) <=> ![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))),
% 7.80/5.33 inference(quant_intro,[status(thm)],[920])).
% 7.80/5.33 tff(922,plain,
% 7.80/5.33 (![VarCurr: $i] : (v106(VarCurr) <=> (v107(VarCurr) & v120(VarCurr))) <=> ![VarCurr: $i] : (v106(VarCurr) <=> (v107(VarCurr) & v120(VarCurr)))),
% 7.80/5.33 inference(rewrite,[status(thm)],[])).
% 7.80/5.33 tff(923,axiom,(![VarCurr: $i] : (v106(VarCurr) <=> (v107(VarCurr) & v120(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_25')).
% 7.80/5.33 tff(924,plain,
% 7.80/5.33 (![VarCurr: $i] : (v106(VarCurr) <=> (v107(VarCurr) & v120(VarCurr)))),
% 7.80/5.33 inference(modus_ponens,[status(thm)],[923, 922])).
% 7.80/5.33 tff(925,plain,(
% 7.80/5.33 ![VarCurr: $i] : (v106(VarCurr) <=> (v107(VarCurr) & v120(VarCurr)))),
% 7.80/5.33 inference(skolemize,[status(sab)],[924])).
% 7.80/5.33 tff(926,plain,
% 7.80/5.33 (![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))),
% 7.80/5.33 inference(modus_ponens,[status(thm)],[925, 921])).
% 7.80/5.33 tff(927,plain,
% 7.80/5.33 (![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))),
% 7.80/5.33 inference(modus_ponens,[status(thm)],[926, 919])).
% 7.80/5.33 tff(928,plain,
% 7.80/5.33 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB191) <=> (~((~v107(constB191)) | (~v120(constB191)))))),
% 7.80/5.33 inference(quant_inst,[status(thm)],[])).
% 7.80/5.33 tff(929,plain,
% 7.80/5.33 (v106(constB191) <=> (~((~v107(constB191)) | (~v120(constB191))))),
% 7.80/5.33 inference(unit_resolution,[status(thm)],[928, 927])).
% 7.80/5.33 tff(930,plain,
% 7.80/5.33 (^[VarCurr: $i] : refl((v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr))) <=> (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr))))),
% 7.80/5.33 inference(bind,[status(th)],[])).
% 7.80/5.33 tff(931,plain,
% 7.80/5.33 (![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr))) <=> ![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))),
% 7.80/5.33 inference(quant_intro,[status(thm)],[930])).
% 7.80/5.33 tff(932,plain,
% 7.80/5.33 (![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr))) <=> ![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))),
% 7.80/5.33 inference(rewrite,[status(thm)],[])).
% 7.80/5.33 tff(933,axiom,(![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_24')).
% 7.80/5.33 tff(934,plain,
% 7.80/5.33 (![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))),
% 7.80/5.33 inference(modus_ponens,[status(thm)],[933, 932])).
% 7.80/5.33 tff(935,plain,(
% 7.80/5.33 ![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))),
% 7.80/5.33 inference(skolemize,[status(sab)],[934])).
% 7.80/5.33 tff(936,plain,
% 7.80/5.33 (![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))),
% 7.80/5.33 inference(modus_ponens,[status(thm)],[935, 931])).
% 7.80/5.33 tff(937,plain,
% 7.80/5.33 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB191) <=> (v108(constB191) | v119(constB191)))),
% 7.80/5.33 inference(quant_inst,[status(thm)],[])).
% 7.80/5.33 tff(938,plain,
% 7.80/5.33 (v107(constB191) <=> (v108(constB191) | v119(constB191))),
% 7.80/5.33 inference(unit_resolution,[status(thm)],[937, 936])).
% 7.80/5.33 tff(939,plain,
% 7.80/5.33 (^[VarCurr: $i] : refl((v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr))) <=> (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr))))),
% 7.80/5.33 inference(bind,[status(th)],[])).
% 7.80/5.33 tff(940,plain,
% 7.80/5.33 (![VarCurr: $i] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr))) <=> ![VarCurr: $i] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))),
% 7.80/5.33 inference(quant_intro,[status(thm)],[939])).
% 7.80/5.33 tff(941,plain,
% 7.80/5.33 (![VarCurr: $i] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr))) <=> ![VarCurr: $i] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))),
% 7.80/5.33 inference(rewrite,[status(thm)],[])).
% 7.80/5.33 tff(942,axiom,(![VarCurr: $i] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_23')).
% 7.80/5.33 tff(943,plain,
% 7.80/5.33 (![VarCurr: $i] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))),
% 7.80/5.33 inference(modus_ponens,[status(thm)],[942, 941])).
% 7.80/5.33 tff(944,plain,(
% 7.80/5.33 ![VarCurr: $i] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))),
% 7.80/5.33 inference(skolemize,[status(sab)],[943])).
% 7.80/5.33 tff(945,plain,
% 7.80/5.33 (![VarCurr: $i] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))),
% 7.80/5.33 inference(modus_ponens,[status(thm)],[944, 940])).
% 7.80/5.33 tff(946,plain,
% 7.80/5.33 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB191) <=> (v109(constB191) | v118(constB191)))),
% 7.80/5.33 inference(quant_inst,[status(thm)],[])).
% 7.80/5.33 tff(947,plain,
% 7.80/5.33 (v108(constB191) <=> (v109(constB191) | v118(constB191))),
% 7.80/5.33 inference(unit_resolution,[status(thm)],[946, 945])).
% 7.80/5.33 tff(948,plain,
% 7.80/5.33 (^[VarCurr: $i] : refl((v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2))))) <=> (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2))))))),
% 7.80/5.33 inference(bind,[status(th)],[])).
% 7.80/5.33 tff(949,plain,
% 7.80/5.33 (![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2))))) <=> ![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))),
% 7.80/5.33 inference(quant_intro,[status(thm)],[948])).
% 7.80/5.33 tff(950,plain,
% 7.80/5.33 (^[VarCurr: $i] : rewrite((v118(VarCurr) <=> (v84(VarCurr, bitIndex2) & (~v84(VarCurr, bitIndex1)) & v84(VarCurr, bitIndex0))) <=> (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2))))))),
% 7.80/5.33 inference(bind,[status(th)],[])).
% 7.80/5.33 tff(951,plain,
% 7.80/5.33 (![VarCurr: $i] : (v118(VarCurr) <=> (v84(VarCurr, bitIndex2) & (~v84(VarCurr, bitIndex1)) & v84(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))),
% 7.80/5.33 inference(quant_intro,[status(thm)],[950])).
% 7.80/5.33 tff(952,plain,
% 7.80/5.33 (![VarCurr: $i] : (v118(VarCurr) <=> (v84(VarCurr, bitIndex2) & (~v84(VarCurr, bitIndex1)) & v84(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : (v118(VarCurr) <=> (v84(VarCurr, bitIndex2) & (~v84(VarCurr, bitIndex1)) & v84(VarCurr, bitIndex0)))),
% 7.80/5.33 inference(rewrite,[status(thm)],[])).
% 7.80/5.33 tff(953,plain,
% 7.80/5.33 (^[VarCurr: $i] : rewrite((v118(VarCurr) <=> (((v84(VarCurr, bitIndex2) <=> $true) & (v84(VarCurr, bitIndex1) <=> $false)) & (v84(VarCurr, bitIndex0) <=> $true))) <=> (v118(VarCurr) <=> (v84(VarCurr, bitIndex2) & (~v84(VarCurr, bitIndex1)) & v84(VarCurr, bitIndex0))))),
% 7.80/5.33 inference(bind,[status(th)],[])).
% 7.80/5.33 tff(954,plain,
% 7.80/5.33 (![VarCurr: $i] : (v118(VarCurr) <=> (((v84(VarCurr, bitIndex2) <=> $true) & (v84(VarCurr, bitIndex1) <=> $false)) & (v84(VarCurr, bitIndex0) <=> $true))) <=> ![VarCurr: $i] : (v118(VarCurr) <=> (v84(VarCurr, bitIndex2) & (~v84(VarCurr, bitIndex1)) & v84(VarCurr, bitIndex0)))),
% 7.80/5.33 inference(quant_intro,[status(thm)],[953])).
% 7.80/5.33 tff(955,axiom,(![VarCurr: $i] : (v118(VarCurr) <=> (((v84(VarCurr, bitIndex2) <=> $true) & (v84(VarCurr, bitIndex1) <=> $false)) & (v84(VarCurr, bitIndex0) <=> $true)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_7')).
% 7.80/5.33 tff(956,plain,
% 7.80/5.33 (![VarCurr: $i] : (v118(VarCurr) <=> (v84(VarCurr, bitIndex2) & (~v84(VarCurr, bitIndex1)) & v84(VarCurr, bitIndex0)))),
% 7.80/5.33 inference(modus_ponens,[status(thm)],[955, 954])).
% 7.80/5.33 tff(957,plain,
% 7.80/5.33 (![VarCurr: $i] : (v118(VarCurr) <=> (v84(VarCurr, bitIndex2) & (~v84(VarCurr, bitIndex1)) & v84(VarCurr, bitIndex0)))),
% 7.80/5.33 inference(modus_ponens,[status(thm)],[956, 952])).
% 7.80/5.33 tff(958,plain,(
% 7.80/5.33 ![VarCurr: $i] : (v118(VarCurr) <=> (v84(VarCurr, bitIndex2) & (~v84(VarCurr, bitIndex1)) & v84(VarCurr, bitIndex0)))),
% 7.80/5.33 inference(skolemize,[status(sab)],[957])).
% 7.80/5.33 tff(959,plain,
% 7.80/5.33 (![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))),
% 7.80/5.33 inference(modus_ponens,[status(thm)],[958, 951])).
% 7.80/5.33 tff(960,plain,
% 7.80/5.33 (![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))),
% 7.80/5.33 inference(modus_ponens,[status(thm)],[959, 949])).
% 7.80/5.33 tff(961,plain,
% 7.80/5.33 (((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB191) <=> (~((~v84(constB191, bitIndex2)) | v84(constB191, bitIndex1) | (~v84(constB191, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB191) <=> (~((~v84(constB191, bitIndex2)) | v84(constB191, bitIndex1) | (~v84(constB191, bitIndex0))))))),
% 7.80/5.33 inference(rewrite,[status(thm)],[])).
% 7.80/5.33 tff(962,plain,
% 7.80/5.33 ((v118(constB191) <=> (~(v84(constB191, bitIndex1) | (~v84(constB191, bitIndex0)) | (~v84(constB191, bitIndex2))))) <=> (v118(constB191) <=> (~((~v84(constB191, bitIndex2)) | v84(constB191, bitIndex1) | (~v84(constB191, bitIndex0)))))),
% 7.80/5.33 inference(rewrite,[status(thm)],[])).
% 7.80/5.33 tff(963,plain,
% 7.80/5.33 (((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB191) <=> (~(v84(constB191, bitIndex1) | (~v84(constB191, bitIndex0)) | (~v84(constB191, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB191) <=> (~((~v84(constB191, bitIndex2)) | v84(constB191, bitIndex1) | (~v84(constB191, bitIndex0))))))),
% 7.80/5.33 inference(monotonicity,[status(thm)],[962])).
% 7.80/5.33 tff(964,plain,
% 7.80/5.33 (((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB191) <=> (~(v84(constB191, bitIndex1) | (~v84(constB191, bitIndex0)) | (~v84(constB191, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB191) <=> (~((~v84(constB191, bitIndex2)) | v84(constB191, bitIndex1) | (~v84(constB191, bitIndex0))))))),
% 7.80/5.33 inference(transitivity,[status(thm)],[963, 961])).
% 7.80/5.33 tff(965,plain,
% 7.80/5.33 ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB191) <=> (~(v84(constB191, bitIndex1) | (~v84(constB191, bitIndex0)) | (~v84(constB191, bitIndex2)))))),
% 7.80/5.33 inference(quant_inst,[status(thm)],[])).
% 7.80/5.33 tff(966,plain,
% 7.80/5.33 ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB191) <=> (~((~v84(constB191, bitIndex2)) | v84(constB191, bitIndex1) | (~v84(constB191, bitIndex0)))))),
% 7.80/5.33 inference(modus_ponens,[status(thm)],[965, 964])).
% 7.80/5.33 tff(967,plain,
% 7.80/5.33 (v118(constB191) <=> (~((~v84(constB191, bitIndex2)) | v84(constB191, bitIndex1) | (~v84(constB191, bitIndex0))))),
% 7.80/5.33 inference(unit_resolution,[status(thm)],[966, 960])).
% 7.80/5.33 tff(968,plain,
% 7.80/5.33 (nextState(constB190, constB191) <=> nextState(constB190, constB191)),
% 7.80/5.33 inference(rewrite,[status(thm)],[])).
% 7.80/5.33 tff(969,axiom,(nextState(constB190, constB191)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_190')).
% 7.80/5.33 tff(970,plain,
% 7.80/5.33 (nextState(constB190, constB191)),
% 7.80/5.33 inference(modus_ponens,[status(thm)],[969, 968])).
% 7.80/5.33 tff(971,plain,
% 7.80/5.33 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB190, constB191)) | (v94(constB191) <=> (~((~v104(constB191)) | (~v95(constB191))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB190, constB191)) | (v94(constB191) <=> (~((~v104(constB191)) | (~v95(constB191))))))),
% 7.80/5.33 inference(rewrite,[status(thm)],[])).
% 7.80/5.33 tff(972,plain,
% 7.80/5.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB190, constB191)) | (v94(constB191) <=> (~((~v104(constB191)) | (~v95(constB191))))))),
% 7.80/5.33 inference(quant_inst,[status(thm)],[])).
% 7.80/5.33 tff(973,plain,
% 7.80/5.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB190, constB191)) | (v94(constB191) <=> (~((~v104(constB191)) | (~v95(constB191)))))),
% 7.80/5.33 inference(modus_ponens,[status(thm)],[972, 971])).
% 7.80/5.33 tff(974,plain,
% 7.80/5.33 (v94(constB191) <=> (~((~v104(constB191)) | (~v95(constB191))))),
% 7.80/5.33 inference(unit_resolution,[status(thm)],[973, 970, 775])).
% 7.80/5.33 tff(975,plain,
% 7.80/5.33 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB190, constB191)) | (v95(constB191) <=> (~((~v1(constB191)) | (~v96(constB191))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB190, constB191)) | (v95(constB191) <=> (~((~v1(constB191)) | (~v96(constB191))))))),
% 7.80/5.33 inference(rewrite,[status(thm)],[])).
% 7.80/5.33 tff(976,plain,
% 7.80/5.33 (((~nextState(constB190, constB191)) | (v95(constB191) <=> (~((~v96(constB191)) | (~v1(constB191)))))) <=> ((~nextState(constB190, constB191)) | (v95(constB191) <=> (~((~v1(constB191)) | (~v96(constB191))))))),
% 7.80/5.33 inference(rewrite,[status(thm)],[])).
% 7.80/5.33 tff(977,plain,
% 7.80/5.33 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB190, constB191)) | (v95(constB191) <=> (~((~v96(constB191)) | (~v1(constB191))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB190, constB191)) | (v95(constB191) <=> (~((~v1(constB191)) | (~v96(constB191)))))))),
% 7.80/5.33 inference(monotonicity,[status(thm)],[976])).
% 7.80/5.33 tff(978,plain,
% 7.80/5.33 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB190, constB191)) | (v95(constB191) <=> (~((~v96(constB191)) | (~v1(constB191))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB190, constB191)) | (v95(constB191) <=> (~((~v1(constB191)) | (~v96(constB191))))))),
% 7.80/5.33 inference(transitivity,[status(thm)],[977, 975])).
% 7.80/5.33 tff(979,plain,
% 7.80/5.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB190, constB191)) | (v95(constB191) <=> (~((~v96(constB191)) | (~v1(constB191))))))),
% 7.80/5.33 inference(quant_inst,[status(thm)],[])).
% 7.80/5.33 tff(980,plain,
% 7.80/5.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB190, constB191)) | (v95(constB191) <=> (~((~v1(constB191)) | (~v96(constB191)))))),
% 7.80/5.33 inference(modus_ponens,[status(thm)],[979, 978])).
% 7.80/5.33 tff(981,plain,
% 7.80/5.33 (v95(constB191) <=> (~((~v1(constB191)) | (~v96(constB191))))),
% 7.80/5.33 inference(unit_resolution,[status(thm)],[980, 970, 795])).
% 7.80/5.33 tff(982,plain,
% 7.80/5.33 (((~v1(constB191)) | (~v96(constB191))) | v1(constB191)),
% 7.80/5.33 inference(tautology,[status(thm)],[])).
% 7.80/5.33 tff(983,plain,
% 7.80/5.33 ((~v1(constB191)) | (~v96(constB191))),
% 7.80/5.33 inference(unit_resolution,[status(thm)],[982, 881])).
% 7.80/5.33 tff(984,plain,
% 7.80/5.33 ((~(v95(constB191) <=> (~((~v1(constB191)) | (~v96(constB191)))))) | (~v95(constB191)) | (~((~v1(constB191)) | (~v96(constB191))))),
% 7.80/5.33 inference(tautology,[status(thm)],[])).
% 7.80/5.33 tff(985,plain,
% 7.80/5.33 ((~(v95(constB191) <=> (~((~v1(constB191)) | (~v96(constB191)))))) | (~v95(constB191))),
% 7.80/5.33 inference(unit_resolution,[status(thm)],[984, 983])).
% 7.80/5.33 tff(986,plain,
% 7.80/5.33 (~v95(constB191)),
% 7.80/5.33 inference(unit_resolution,[status(thm)],[985, 981])).
% 7.80/5.33 tff(987,plain,
% 7.80/5.33 (((~v104(constB191)) | (~v95(constB191))) | v95(constB191)),
% 7.80/5.33 inference(tautology,[status(thm)],[])).
% 7.80/5.33 tff(988,plain,
% 7.80/5.33 ((~v104(constB191)) | (~v95(constB191))),
% 7.80/5.33 inference(unit_resolution,[status(thm)],[987, 986])).
% 7.80/5.33 tff(989,plain,
% 7.80/5.33 ((~(v94(constB191) <=> (~((~v104(constB191)) | (~v95(constB191)))))) | (~v94(constB191)) | (~((~v104(constB191)) | (~v95(constB191))))),
% 7.80/5.33 inference(tautology,[status(thm)],[])).
% 7.80/5.33 tff(990,plain,
% 7.80/5.33 (~v94(constB191)),
% 7.80/5.33 inference(unit_resolution,[status(thm)],[989, 988, 974])).
% 7.80/5.33 tff(991,plain,
% 7.80/5.33 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB191) | (~nextState(constB190, constB191)) | ![B: $i] : ((~less_3(B)) | (v84(constB191, B) <=> v84(constB190, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB191) | (~nextState(constB190, constB191)) | ![B: $i] : ((~less_3(B)) | (v84(constB191, B) <=> v84(constB190, B))))),
% 7.80/5.33 inference(rewrite,[status(thm)],[])).
% 7.80/5.33 tff(992,plain,
% 7.80/5.33 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB191) | (~nextState(constB190, constB191)) | ![B: $i] : ((~less_3(B)) | (v84(constB191, B) <=> v84(constB190, B))))),
% 7.80/5.33 inference(quant_inst,[status(thm)],[])).
% 7.80/5.33 tff(993,plain,
% 7.80/5.33 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB191) | (~nextState(constB190, constB191)) | ![B: $i] : ((~less_3(B)) | (v84(constB191, B) <=> v84(constB190, B)))),
% 7.80/5.33 inference(modus_ponens,[status(thm)],[992, 991])).
% 7.80/5.33 tff(994,plain,
% 7.80/5.33 (v94(constB191) | ![B: $i] : ((~less_3(B)) | (v84(constB191, B) <=> v84(constB190, B)))),
% 7.80/5.33 inference(unit_resolution,[status(thm)],[993, 970, 824])).
% 7.80/5.33 tff(995,plain,
% 7.80/5.33 (![B: $i] : ((~less_3(B)) | (v84(constB191, B) <=> v84(constB190, B)))),
% 7.80/5.33 inference(unit_resolution,[status(thm)],[994, 990])).
% 7.80/5.33 tff(996,plain,
% 7.80/5.33 (((~![B: $i] : ((~less_3(B)) | (v84(constB191, B) <=> v84(constB190, B)))) | ((~less_3(bitIndex2)) | (v84(constB191, bitIndex2) <=> v84(constB190, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB191, B) <=> v84(constB190, B)))) | (~less_3(bitIndex2)) | (v84(constB191, bitIndex2) <=> v84(constB190, bitIndex2)))),
% 7.80/5.33 inference(rewrite,[status(thm)],[])).
% 7.80/5.33 tff(997,plain,
% 7.80/5.33 ((~![B: $i] : ((~less_3(B)) | (v84(constB191, B) <=> v84(constB190, B)))) | ((~less_3(bitIndex2)) | (v84(constB191, bitIndex2) <=> v84(constB190, bitIndex2)))),
% 7.80/5.33 inference(quant_inst,[status(thm)],[])).
% 7.80/5.33 tff(998,plain,
% 7.80/5.33 ((~![B: $i] : ((~less_3(B)) | (v84(constB191, B) <=> v84(constB190, B)))) | (~less_3(bitIndex2)) | (v84(constB191, bitIndex2) <=> v84(constB190, bitIndex2))),
% 7.80/5.33 inference(modus_ponens,[status(thm)],[997, 996])).
% 7.80/5.33 tff(999,plain,
% 7.80/5.33 (v84(constB191, bitIndex2) <=> v84(constB190, bitIndex2)),
% 7.80/5.33 inference(unit_resolution,[status(thm)],[998, 832, 995])).
% 7.80/5.33 tff(1000,plain,
% 7.80/5.33 (nextState(constB189, constB190) <=> nextState(constB189, constB190)),
% 7.80/5.33 inference(rewrite,[status(thm)],[])).
% 7.80/5.33 tff(1001,axiom,(nextState(constB189, constB190)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_189')).
% 7.80/5.33 tff(1002,plain,
% 7.80/5.33 (nextState(constB189, constB190)),
% 7.80/5.33 inference(modus_ponens,[status(thm)],[1001, 1000])).
% 7.80/5.33 tff(1003,plain,
% 7.80/5.33 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB189, constB190)) | (v94(constB190) <=> (~((~v104(constB190)) | (~v95(constB190))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB189, constB190)) | (v94(constB190) <=> (~((~v104(constB190)) | (~v95(constB190))))))),
% 7.80/5.33 inference(rewrite,[status(thm)],[])).
% 7.80/5.33 tff(1004,plain,
% 7.80/5.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB189, constB190)) | (v94(constB190) <=> (~((~v104(constB190)) | (~v95(constB190))))))),
% 7.80/5.33 inference(quant_inst,[status(thm)],[])).
% 7.80/5.33 tff(1005,plain,
% 7.80/5.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB189, constB190)) | (v94(constB190) <=> (~((~v104(constB190)) | (~v95(constB190)))))),
% 7.80/5.33 inference(modus_ponens,[status(thm)],[1004, 1003])).
% 7.80/5.33 tff(1006,plain,
% 7.80/5.33 (v94(constB190) <=> (~((~v104(constB190)) | (~v95(constB190))))),
% 7.80/5.33 inference(unit_resolution,[status(thm)],[1005, 1002, 775])).
% 7.80/5.33 tff(1007,plain,
% 7.80/5.33 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB189, constB190)) | (v95(constB190) <=> (~((~v1(constB190)) | (~v96(constB190))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB189, constB190)) | (v95(constB190) <=> (~((~v1(constB190)) | (~v96(constB190))))))),
% 7.80/5.33 inference(rewrite,[status(thm)],[])).
% 7.80/5.33 tff(1008,plain,
% 7.80/5.33 (((~nextState(constB189, constB190)) | (v95(constB190) <=> (~((~v96(constB190)) | (~v1(constB190)))))) <=> ((~nextState(constB189, constB190)) | (v95(constB190) <=> (~((~v1(constB190)) | (~v96(constB190))))))),
% 7.80/5.33 inference(rewrite,[status(thm)],[])).
% 7.80/5.33 tff(1009,plain,
% 7.80/5.33 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB189, constB190)) | (v95(constB190) <=> (~((~v96(constB190)) | (~v1(constB190))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB189, constB190)) | (v95(constB190) <=> (~((~v1(constB190)) | (~v96(constB190)))))))),
% 7.80/5.33 inference(monotonicity,[status(thm)],[1008])).
% 7.80/5.33 tff(1010,plain,
% 7.80/5.33 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB189, constB190)) | (v95(constB190) <=> (~((~v96(constB190)) | (~v1(constB190))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB189, constB190)) | (v95(constB190) <=> (~((~v1(constB190)) | (~v96(constB190))))))),
% 7.80/5.33 inference(transitivity,[status(thm)],[1009, 1007])).
% 7.80/5.33 tff(1011,plain,
% 7.80/5.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB189, constB190)) | (v95(constB190) <=> (~((~v96(constB190)) | (~v1(constB190))))))),
% 7.80/5.33 inference(quant_inst,[status(thm)],[])).
% 7.80/5.33 tff(1012,plain,
% 7.80/5.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB189, constB190)) | (v95(constB190) <=> (~((~v1(constB190)) | (~v96(constB190)))))),
% 7.80/5.33 inference(modus_ponens,[status(thm)],[1011, 1010])).
% 7.80/5.33 tff(1013,plain,
% 7.80/5.33 (v95(constB190) <=> (~((~v1(constB190)) | (~v96(constB190))))),
% 7.80/5.33 inference(unit_resolution,[status(thm)],[1012, 1002, 795])).
% 7.80/5.33 tff(1014,plain,
% 7.80/5.33 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB189, constB190)) | ((~v96(constB190)) <=> v98(constB190)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB189, constB190)) | ((~v96(constB190)) <=> v98(constB190)))),
% 7.80/5.33 inference(rewrite,[status(thm)],[])).
% 7.80/5.33 tff(1015,plain,
% 7.80/5.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB189, constB190)) | ((~v96(constB190)) <=> v98(constB190)))),
% 7.80/5.33 inference(quant_inst,[status(thm)],[])).
% 7.80/5.33 tff(1016,plain,
% 7.80/5.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB189, constB190)) | ((~v96(constB190)) <=> v98(constB190))),
% 7.80/5.33 inference(modus_ponens,[status(thm)],[1015, 1014])).
% 7.80/5.33 tff(1017,plain,
% 7.80/5.33 ((~v96(constB190)) <=> v98(constB190)),
% 7.80/5.33 inference(unit_resolution,[status(thm)],[1016, 1002, 860])).
% 7.80/5.33 tff(1018,plain,
% 7.80/5.33 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB189, constB190)) | (v98(constB190) <=> v1(constB189)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB189, constB190)) | (v98(constB190) <=> v1(constB189)))),
% 7.80/5.33 inference(rewrite,[status(thm)],[])).
% 7.80/5.33 tff(1019,plain,
% 7.80/5.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB189, constB190)) | (v98(constB190) <=> v1(constB189)))),
% 7.80/5.33 inference(quant_inst,[status(thm)],[])).
% 7.80/5.33 tff(1020,plain,
% 7.80/5.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB189, constB190)) | (v98(constB190) <=> v1(constB189))),
% 7.80/5.33 inference(modus_ponens,[status(thm)],[1019, 1018])).
% 7.80/5.33 tff(1021,plain,
% 7.80/5.33 (v98(constB190) <=> v1(constB189)),
% 7.80/5.33 inference(unit_resolution,[status(thm)],[1020, 1002, 874])).
% 7.80/5.33 tff(1022,plain,
% 7.80/5.33 ((~v1(constB189)) <=> (~v1(constB189))),
% 7.80/5.33 inference(rewrite,[status(thm)],[])).
% 7.80/5.33 tff(1023,axiom,(~v1(constB189)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_189')).
% 7.80/5.33 tff(1024,plain,
% 7.80/5.33 (~v1(constB189)),
% 7.80/5.33 inference(modus_ponens,[status(thm)],[1023, 1022])).
% 7.80/5.33 tff(1025,plain,
% 7.80/5.33 ((~(v98(constB190) <=> v1(constB189))) | (~v98(constB190)) | v1(constB189)),
% 7.80/5.33 inference(tautology,[status(thm)],[])).
% 7.80/5.33 tff(1026,plain,
% 7.80/5.33 ((~(v98(constB190) <=> v1(constB189))) | (~v98(constB190))),
% 7.80/5.33 inference(unit_resolution,[status(thm)],[1025, 1024])).
% 7.80/5.33 tff(1027,plain,
% 7.80/5.33 (~v98(constB190)),
% 7.80/5.33 inference(unit_resolution,[status(thm)],[1026, 1021])).
% 7.80/5.33 tff(1028,plain,
% 7.80/5.33 ((~((~v96(constB190)) <=> v98(constB190))) | v96(constB190) | v98(constB190)),
% 7.80/5.33 inference(tautology,[status(thm)],[])).
% 7.80/5.33 tff(1029,plain,
% 7.80/5.33 (v96(constB190)),
% 7.80/5.33 inference(unit_resolution,[status(thm)],[1028, 1027, 1017])).
% 7.80/5.33 tff(1030,plain,
% 7.80/5.33 (v1(constB190) <=> v1(constB190)),
% 7.80/5.33 inference(rewrite,[status(thm)],[])).
% 7.80/5.33 tff(1031,axiom,(v1(constB190)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_190')).
% 7.80/5.33 tff(1032,plain,
% 7.80/5.33 (v1(constB190)),
% 7.80/5.34 inference(modus_ponens,[status(thm)],[1031, 1030])).
% 7.80/5.34 tff(1033,plain,
% 7.80/5.34 ((~((~v1(constB190)) | (~v96(constB190)))) | (~v1(constB190)) | (~v96(constB190))),
% 7.80/5.34 inference(tautology,[status(thm)],[])).
% 7.80/5.34 tff(1034,plain,
% 7.80/5.34 ((~((~v1(constB190)) | (~v96(constB190)))) | (~v96(constB190))),
% 7.80/5.34 inference(unit_resolution,[status(thm)],[1033, 1032])).
% 7.80/5.34 tff(1035,plain,
% 7.80/5.34 (~((~v1(constB190)) | (~v96(constB190)))),
% 7.80/5.34 inference(unit_resolution,[status(thm)],[1034, 1029])).
% 7.80/5.34 tff(1036,plain,
% 7.80/5.34 ((~(v95(constB190) <=> (~((~v1(constB190)) | (~v96(constB190)))))) | v95(constB190) | ((~v1(constB190)) | (~v96(constB190)))),
% 7.80/5.34 inference(tautology,[status(thm)],[])).
% 7.80/5.34 tff(1037,plain,
% 7.80/5.34 (v95(constB190)),
% 7.80/5.34 inference(unit_resolution,[status(thm)],[1036, 1035, 1013])).
% 7.80/5.34 tff(1038,plain,
% 7.80/5.34 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB189, constB190)) | (v104(constB190) <=> v102(constB189)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB189, constB190)) | (v104(constB190) <=> v102(constB189)))),
% 7.80/5.34 inference(rewrite,[status(thm)],[])).
% 7.80/5.34 tff(1039,plain,
% 7.80/5.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB189, constB190)) | (v104(constB190) <=> v102(constB189)))),
% 7.80/5.34 inference(quant_inst,[status(thm)],[])).
% 7.80/5.34 tff(1040,plain,
% 7.80/5.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB189, constB190)) | (v104(constB190) <=> v102(constB189))),
% 7.80/5.34 inference(modus_ponens,[status(thm)],[1039, 1038])).
% 7.80/5.34 tff(1041,plain,
% 7.80/5.34 (v104(constB190) <=> v102(constB189)),
% 7.80/5.34 inference(unit_resolution,[status(thm)],[1040, 1002, 904])).
% 7.80/5.34 tff(1042,plain,
% 7.80/5.34 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB189) <=> (v105(constB189) | v106(constB189)))),
% 7.80/5.34 inference(quant_inst,[status(thm)],[])).
% 7.80/5.34 tff(1043,plain,
% 7.80/5.34 (v102(constB189) <=> (v105(constB189) | v106(constB189))),
% 7.80/5.34 inference(unit_resolution,[status(thm)],[1042, 915])).
% 7.80/5.34 tff(1044,plain,
% 7.80/5.34 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB189) <=> (~((~v107(constB189)) | (~v120(constB189)))))),
% 7.80/5.34 inference(quant_inst,[status(thm)],[])).
% 7.80/5.34 tff(1045,plain,
% 7.80/5.34 (v106(constB189) <=> (~((~v107(constB189)) | (~v120(constB189))))),
% 7.80/5.34 inference(unit_resolution,[status(thm)],[1044, 927])).
% 7.80/5.34 tff(1046,plain,
% 7.80/5.34 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB189) <=> (v108(constB189) | v119(constB189)))),
% 7.80/5.34 inference(quant_inst,[status(thm)],[])).
% 7.80/5.34 tff(1047,plain,
% 7.80/5.34 (v107(constB189) <=> (v108(constB189) | v119(constB189))),
% 7.80/5.34 inference(unit_resolution,[status(thm)],[1046, 936])).
% 7.80/5.34 tff(1048,plain,
% 7.80/5.34 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB189) <=> (v109(constB189) | v118(constB189)))),
% 7.80/5.34 inference(quant_inst,[status(thm)],[])).
% 7.80/5.34 tff(1049,plain,
% 7.80/5.34 (v108(constB189) <=> (v109(constB189) | v118(constB189))),
% 7.80/5.34 inference(unit_resolution,[status(thm)],[1048, 945])).
% 7.80/5.34 tff(1050,plain,
% 7.80/5.34 (^[VarCurr: $i] : refl((v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr))) <=> (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr))))),
% 7.80/5.34 inference(bind,[status(th)],[])).
% 7.80/5.34 tff(1051,plain,
% 7.80/5.34 (![VarCurr: $i] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr))) <=> ![VarCurr: $i] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))),
% 7.80/5.34 inference(quant_intro,[status(thm)],[1050])).
% 7.80/5.34 tff(1052,plain,
% 7.80/5.34 (![VarCurr: $i] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr))) <=> ![VarCurr: $i] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))),
% 7.80/5.34 inference(rewrite,[status(thm)],[])).
% 7.80/5.34 tff(1053,axiom,(![VarCurr: $i] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_22')).
% 7.80/5.34 tff(1054,plain,
% 7.80/5.34 (![VarCurr: $i] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))),
% 7.80/5.34 inference(modus_ponens,[status(thm)],[1053, 1052])).
% 7.80/5.34 tff(1055,plain,(
% 7.80/5.34 ![VarCurr: $i] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))),
% 7.80/5.34 inference(skolemize,[status(sab)],[1054])).
% 7.80/5.34 tff(1056,plain,
% 7.80/5.34 (![VarCurr: $i] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))),
% 7.80/5.34 inference(modus_ponens,[status(thm)],[1055, 1051])).
% 7.80/5.34 tff(1057,plain,
% 7.80/5.34 ((~![VarCurr: $i] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB189) <=> (v110(constB189) | v117(constB189)))),
% 7.80/5.34 inference(quant_inst,[status(thm)],[])).
% 7.80/5.34 tff(1058,plain,
% 7.80/5.34 (v109(constB189) <=> (v110(constB189) | v117(constB189))),
% 7.80/5.34 inference(unit_resolution,[status(thm)],[1057, 1056])).
% 7.80/5.34 tff(1059,plain,
% 7.80/5.34 (^[VarCurr: $i] : refl((v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2))))) <=> (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2))))))),
% 7.80/5.34 inference(bind,[status(th)],[])).
% 7.80/5.34 tff(1060,plain,
% 7.80/5.34 (![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2))))) <=> ![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))),
% 7.80/5.34 inference(quant_intro,[status(thm)],[1059])).
% 7.80/5.34 tff(1061,plain,
% 7.80/5.34 (^[VarCurr: $i] : rewrite((v117(VarCurr) <=> (v84(VarCurr, bitIndex2) & (~v84(VarCurr, bitIndex1)) & (~v84(VarCurr, bitIndex0)))) <=> (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2))))))),
% 7.80/5.34 inference(bind,[status(th)],[])).
% 7.80/5.34 tff(1062,plain,
% 7.80/5.34 (![VarCurr: $i] : (v117(VarCurr) <=> (v84(VarCurr, bitIndex2) & (~v84(VarCurr, bitIndex1)) & (~v84(VarCurr, bitIndex0)))) <=> ![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))),
% 7.80/5.34 inference(quant_intro,[status(thm)],[1061])).
% 7.80/5.34 tff(1063,plain,
% 7.80/5.34 (![VarCurr: $i] : (v117(VarCurr) <=> (v84(VarCurr, bitIndex2) & (~v84(VarCurr, bitIndex1)) & (~v84(VarCurr, bitIndex0)))) <=> ![VarCurr: $i] : (v117(VarCurr) <=> (v84(VarCurr, bitIndex2) & (~v84(VarCurr, bitIndex1)) & (~v84(VarCurr, bitIndex0))))),
% 7.80/5.34 inference(rewrite,[status(thm)],[])).
% 7.80/5.34 tff(1064,plain,
% 7.80/5.34 (^[VarCurr: $i] : rewrite((v117(VarCurr) <=> (((v84(VarCurr, bitIndex2) <=> $true) & (v84(VarCurr, bitIndex1) <=> $false)) & (v84(VarCurr, bitIndex0) <=> $false))) <=> (v117(VarCurr) <=> (v84(VarCurr, bitIndex2) & (~v84(VarCurr, bitIndex1)) & (~v84(VarCurr, bitIndex0)))))),
% 7.80/5.34 inference(bind,[status(th)],[])).
% 7.80/5.34 tff(1065,plain,
% 7.80/5.34 (![VarCurr: $i] : (v117(VarCurr) <=> (((v84(VarCurr, bitIndex2) <=> $true) & (v84(VarCurr, bitIndex1) <=> $false)) & (v84(VarCurr, bitIndex0) <=> $false))) <=> ![VarCurr: $i] : (v117(VarCurr) <=> (v84(VarCurr, bitIndex2) & (~v84(VarCurr, bitIndex1)) & (~v84(VarCurr, bitIndex0))))),
% 7.80/5.34 inference(quant_intro,[status(thm)],[1064])).
% 7.80/5.34 tff(1066,axiom,(![VarCurr: $i] : (v117(VarCurr) <=> (((v84(VarCurr, bitIndex2) <=> $true) & (v84(VarCurr, bitIndex1) <=> $false)) & (v84(VarCurr, bitIndex0) <=> $false)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_6')).
% 7.80/5.34 tff(1067,plain,
% 7.80/5.34 (![VarCurr: $i] : (v117(VarCurr) <=> (v84(VarCurr, bitIndex2) & (~v84(VarCurr, bitIndex1)) & (~v84(VarCurr, bitIndex0))))),
% 7.80/5.34 inference(modus_ponens,[status(thm)],[1066, 1065])).
% 7.80/5.34 tff(1068,plain,
% 7.80/5.34 (![VarCurr: $i] : (v117(VarCurr) <=> (v84(VarCurr, bitIndex2) & (~v84(VarCurr, bitIndex1)) & (~v84(VarCurr, bitIndex0))))),
% 7.80/5.34 inference(modus_ponens,[status(thm)],[1067, 1063])).
% 7.80/5.34 tff(1069,plain,(
% 7.80/5.34 ![VarCurr: $i] : (v117(VarCurr) <=> (v84(VarCurr, bitIndex2) & (~v84(VarCurr, bitIndex1)) & (~v84(VarCurr, bitIndex0))))),
% 7.80/5.34 inference(skolemize,[status(sab)],[1068])).
% 7.80/5.34 tff(1070,plain,
% 7.80/5.34 (![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))),
% 7.80/5.34 inference(modus_ponens,[status(thm)],[1069, 1062])).
% 7.80/5.34 tff(1071,plain,
% 7.80/5.34 (![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))),
% 7.80/5.34 inference(modus_ponens,[status(thm)],[1070, 1060])).
% 7.80/5.34 tff(1072,plain,
% 7.80/5.34 (((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB189) <=> (~((~v84(constB189, bitIndex2)) | v84(constB189, bitIndex1) | v84(constB189, bitIndex0))))) <=> ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB189) <=> (~((~v84(constB189, bitIndex2)) | v84(constB189, bitIndex1) | v84(constB189, bitIndex0)))))),
% 7.80/5.34 inference(rewrite,[status(thm)],[])).
% 7.80/5.34 tff(1073,plain,
% 7.80/5.34 ((v117(constB189) <=> (~(v84(constB189, bitIndex0) | v84(constB189, bitIndex1) | (~v84(constB189, bitIndex2))))) <=> (v117(constB189) <=> (~((~v84(constB189, bitIndex2)) | v84(constB189, bitIndex1) | v84(constB189, bitIndex0))))),
% 7.80/5.34 inference(rewrite,[status(thm)],[])).
% 7.80/5.34 tff(1074,plain,
% 7.80/5.34 (((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB189) <=> (~(v84(constB189, bitIndex0) | v84(constB189, bitIndex1) | (~v84(constB189, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB189) <=> (~((~v84(constB189, bitIndex2)) | v84(constB189, bitIndex1) | v84(constB189, bitIndex0)))))),
% 7.80/5.34 inference(monotonicity,[status(thm)],[1073])).
% 7.80/5.34 tff(1075,plain,
% 7.80/5.34 (((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB189) <=> (~(v84(constB189, bitIndex0) | v84(constB189, bitIndex1) | (~v84(constB189, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB189) <=> (~((~v84(constB189, bitIndex2)) | v84(constB189, bitIndex1) | v84(constB189, bitIndex0)))))),
% 7.80/5.34 inference(transitivity,[status(thm)],[1074, 1072])).
% 7.80/5.34 tff(1076,plain,
% 7.80/5.34 ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB189) <=> (~(v84(constB189, bitIndex0) | v84(constB189, bitIndex1) | (~v84(constB189, bitIndex2)))))),
% 7.80/5.34 inference(quant_inst,[status(thm)],[])).
% 7.80/5.34 tff(1077,plain,
% 7.80/5.34 ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB189) <=> (~((~v84(constB189, bitIndex2)) | v84(constB189, bitIndex1) | v84(constB189, bitIndex0))))),
% 7.80/5.34 inference(modus_ponens,[status(thm)],[1076, 1075])).
% 7.80/5.34 tff(1078,plain,
% 7.80/5.34 (v117(constB189) <=> (~((~v84(constB189, bitIndex2)) | v84(constB189, bitIndex1) | v84(constB189, bitIndex0)))),
% 7.80/5.34 inference(unit_resolution,[status(thm)],[1077, 1071])).
% 7.80/5.34 tff(1079,plain,
% 7.80/5.34 (nextState(constB188, constB189) <=> nextState(constB188, constB189)),
% 7.80/5.34 inference(rewrite,[status(thm)],[])).
% 7.80/5.34 tff(1080,axiom,(nextState(constB188, constB189)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_188')).
% 7.80/5.34 tff(1081,plain,
% 7.80/5.34 (nextState(constB188, constB189)),
% 7.80/5.34 inference(modus_ponens,[status(thm)],[1080, 1079])).
% 7.80/5.34 tff(1082,plain,
% 7.80/5.34 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB188, constB189)) | (v94(constB189) <=> (~((~v104(constB189)) | (~v95(constB189))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB188, constB189)) | (v94(constB189) <=> (~((~v104(constB189)) | (~v95(constB189))))))),
% 7.80/5.34 inference(rewrite,[status(thm)],[])).
% 7.80/5.34 tff(1083,plain,
% 7.80/5.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB188, constB189)) | (v94(constB189) <=> (~((~v104(constB189)) | (~v95(constB189))))))),
% 7.80/5.34 inference(quant_inst,[status(thm)],[])).
% 7.80/5.34 tff(1084,plain,
% 7.80/5.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB188, constB189)) | (v94(constB189) <=> (~((~v104(constB189)) | (~v95(constB189)))))),
% 7.80/5.34 inference(modus_ponens,[status(thm)],[1083, 1082])).
% 7.80/5.34 tff(1085,plain,
% 7.80/5.34 (v94(constB189) <=> (~((~v104(constB189)) | (~v95(constB189))))),
% 7.80/5.34 inference(unit_resolution,[status(thm)],[1084, 1081, 775])).
% 7.80/5.34 tff(1086,plain,
% 7.80/5.34 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB188, constB189)) | (v95(constB189) <=> (~((~v1(constB189)) | (~v96(constB189))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB188, constB189)) | (v95(constB189) <=> (~((~v1(constB189)) | (~v96(constB189))))))),
% 7.80/5.34 inference(rewrite,[status(thm)],[])).
% 7.80/5.34 tff(1087,plain,
% 7.80/5.34 (((~nextState(constB188, constB189)) | (v95(constB189) <=> (~((~v96(constB189)) | (~v1(constB189)))))) <=> ((~nextState(constB188, constB189)) | (v95(constB189) <=> (~((~v1(constB189)) | (~v96(constB189))))))),
% 7.80/5.34 inference(rewrite,[status(thm)],[])).
% 7.80/5.34 tff(1088,plain,
% 7.80/5.34 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB188, constB189)) | (v95(constB189) <=> (~((~v96(constB189)) | (~v1(constB189))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB188, constB189)) | (v95(constB189) <=> (~((~v1(constB189)) | (~v96(constB189)))))))),
% 7.80/5.34 inference(monotonicity,[status(thm)],[1087])).
% 7.80/5.34 tff(1089,plain,
% 7.80/5.34 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB188, constB189)) | (v95(constB189) <=> (~((~v96(constB189)) | (~v1(constB189))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB188, constB189)) | (v95(constB189) <=> (~((~v1(constB189)) | (~v96(constB189))))))),
% 7.80/5.34 inference(transitivity,[status(thm)],[1088, 1086])).
% 7.80/5.34 tff(1090,plain,
% 7.80/5.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB188, constB189)) | (v95(constB189) <=> (~((~v96(constB189)) | (~v1(constB189))))))),
% 7.80/5.34 inference(quant_inst,[status(thm)],[])).
% 7.80/5.34 tff(1091,plain,
% 7.80/5.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB188, constB189)) | (v95(constB189) <=> (~((~v1(constB189)) | (~v96(constB189)))))),
% 7.80/5.34 inference(modus_ponens,[status(thm)],[1090, 1089])).
% 7.80/5.34 tff(1092,plain,
% 7.80/5.34 (v95(constB189) <=> (~((~v1(constB189)) | (~v96(constB189))))),
% 7.80/5.34 inference(unit_resolution,[status(thm)],[1091, 1081, 795])).
% 7.80/5.34 tff(1093,plain,
% 7.80/5.34 (((~v1(constB189)) | (~v96(constB189))) | v1(constB189)),
% 7.80/5.34 inference(tautology,[status(thm)],[])).
% 7.80/5.34 tff(1094,plain,
% 7.80/5.34 ((~v1(constB189)) | (~v96(constB189))),
% 7.80/5.34 inference(unit_resolution,[status(thm)],[1093, 1024])).
% 7.80/5.34 tff(1095,plain,
% 7.80/5.34 ((~(v95(constB189) <=> (~((~v1(constB189)) | (~v96(constB189)))))) | (~v95(constB189)) | (~((~v1(constB189)) | (~v96(constB189))))),
% 7.80/5.34 inference(tautology,[status(thm)],[])).
% 7.80/5.34 tff(1096,plain,
% 7.80/5.34 ((~(v95(constB189) <=> (~((~v1(constB189)) | (~v96(constB189)))))) | (~v95(constB189))),
% 7.80/5.34 inference(unit_resolution,[status(thm)],[1095, 1094])).
% 7.80/5.34 tff(1097,plain,
% 7.80/5.34 (~v95(constB189)),
% 7.80/5.34 inference(unit_resolution,[status(thm)],[1096, 1092])).
% 7.80/5.34 tff(1098,plain,
% 7.80/5.34 (((~v104(constB189)) | (~v95(constB189))) | v95(constB189)),
% 7.80/5.34 inference(tautology,[status(thm)],[])).
% 7.80/5.34 tff(1099,plain,
% 7.80/5.34 ((~v104(constB189)) | (~v95(constB189))),
% 7.80/5.34 inference(unit_resolution,[status(thm)],[1098, 1097])).
% 7.80/5.34 tff(1100,plain,
% 7.80/5.34 ((~(v94(constB189) <=> (~((~v104(constB189)) | (~v95(constB189)))))) | (~v94(constB189)) | (~((~v104(constB189)) | (~v95(constB189))))),
% 7.80/5.34 inference(tautology,[status(thm)],[])).
% 7.80/5.34 tff(1101,plain,
% 7.80/5.34 (~v94(constB189)),
% 7.80/5.34 inference(unit_resolution,[status(thm)],[1100, 1099, 1085])).
% 7.80/5.34 tff(1102,plain,
% 7.80/5.34 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB189) | (~nextState(constB188, constB189)) | ![B: $i] : ((~less_3(B)) | (v84(constB189, B) <=> v84(constB188, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB189) | (~nextState(constB188, constB189)) | ![B: $i] : ((~less_3(B)) | (v84(constB189, B) <=> v84(constB188, B))))),
% 7.80/5.34 inference(rewrite,[status(thm)],[])).
% 7.80/5.34 tff(1103,plain,
% 7.80/5.34 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB189) | (~nextState(constB188, constB189)) | ![B: $i] : ((~less_3(B)) | (v84(constB189, B) <=> v84(constB188, B))))),
% 7.80/5.34 inference(quant_inst,[status(thm)],[])).
% 7.80/5.34 tff(1104,plain,
% 7.80/5.34 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB189) | (~nextState(constB188, constB189)) | ![B: $i] : ((~less_3(B)) | (v84(constB189, B) <=> v84(constB188, B)))),
% 7.80/5.34 inference(modus_ponens,[status(thm)],[1103, 1102])).
% 7.80/5.34 tff(1105,plain,
% 7.80/5.34 (v94(constB189) | ![B: $i] : ((~less_3(B)) | (v84(constB189, B) <=> v84(constB188, B)))),
% 7.80/5.34 inference(unit_resolution,[status(thm)],[1104, 1081, 824])).
% 7.80/5.34 tff(1106,plain,
% 7.80/5.34 (![B: $i] : ((~less_3(B)) | (v84(constB189, B) <=> v84(constB188, B)))),
% 7.80/5.34 inference(unit_resolution,[status(thm)],[1105, 1101])).
% 7.80/5.34 tff(1107,plain,
% 7.80/5.34 (((~![B: $i] : ((~less_3(B)) | (v84(constB189, B) <=> v84(constB188, B)))) | ((~less_3(bitIndex2)) | (v84(constB189, bitIndex2) <=> v84(constB188, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB189, B) <=> v84(constB188, B)))) | (~less_3(bitIndex2)) | (v84(constB189, bitIndex2) <=> v84(constB188, bitIndex2)))),
% 7.80/5.34 inference(rewrite,[status(thm)],[])).
% 7.80/5.34 tff(1108,plain,
% 7.80/5.34 ((~![B: $i] : ((~less_3(B)) | (v84(constB189, B) <=> v84(constB188, B)))) | ((~less_3(bitIndex2)) | (v84(constB189, bitIndex2) <=> v84(constB188, bitIndex2)))),
% 7.80/5.34 inference(quant_inst,[status(thm)],[])).
% 7.80/5.34 tff(1109,plain,
% 7.80/5.34 ((~![B: $i] : ((~less_3(B)) | (v84(constB189, B) <=> v84(constB188, B)))) | (~less_3(bitIndex2)) | (v84(constB189, bitIndex2) <=> v84(constB188, bitIndex2))),
% 7.80/5.34 inference(modus_ponens,[status(thm)],[1108, 1107])).
% 7.80/5.34 tff(1110,plain,
% 7.80/5.34 (v84(constB189, bitIndex2) <=> v84(constB188, bitIndex2)),
% 7.80/5.34 inference(unit_resolution,[status(thm)],[1109, 832, 1106])).
% 7.80/5.34 tff(1111,plain,
% 7.80/5.34 (nextState(constB187, constB188) <=> nextState(constB187, constB188)),
% 7.80/5.34 inference(rewrite,[status(thm)],[])).
% 7.80/5.34 tff(1112,axiom,(nextState(constB187, constB188)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_187')).
% 7.80/5.34 tff(1113,plain,
% 7.80/5.34 (nextState(constB187, constB188)),
% 7.80/5.34 inference(modus_ponens,[status(thm)],[1112, 1111])).
% 7.80/5.34 tff(1114,plain,
% 7.80/5.34 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB187, constB188)) | (v94(constB188) <=> (~((~v104(constB188)) | (~v95(constB188))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB187, constB188)) | (v94(constB188) <=> (~((~v104(constB188)) | (~v95(constB188))))))),
% 7.80/5.34 inference(rewrite,[status(thm)],[])).
% 7.80/5.34 tff(1115,plain,
% 7.80/5.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB187, constB188)) | (v94(constB188) <=> (~((~v104(constB188)) | (~v95(constB188))))))),
% 7.80/5.34 inference(quant_inst,[status(thm)],[])).
% 7.80/5.34 tff(1116,plain,
% 7.80/5.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB187, constB188)) | (v94(constB188) <=> (~((~v104(constB188)) | (~v95(constB188)))))),
% 7.80/5.34 inference(modus_ponens,[status(thm)],[1115, 1114])).
% 7.80/5.34 tff(1117,plain,
% 7.80/5.34 (v94(constB188) <=> (~((~v104(constB188)) | (~v95(constB188))))),
% 7.80/5.34 inference(unit_resolution,[status(thm)],[1116, 1113, 775])).
% 7.80/5.34 tff(1118,plain,
% 7.80/5.34 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB187, constB188)) | (v95(constB188) <=> (~((~v1(constB188)) | (~v96(constB188))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB187, constB188)) | (v95(constB188) <=> (~((~v1(constB188)) | (~v96(constB188))))))),
% 7.80/5.34 inference(rewrite,[status(thm)],[])).
% 7.80/5.34 tff(1119,plain,
% 7.80/5.34 (((~nextState(constB187, constB188)) | (v95(constB188) <=> (~((~v96(constB188)) | (~v1(constB188)))))) <=> ((~nextState(constB187, constB188)) | (v95(constB188) <=> (~((~v1(constB188)) | (~v96(constB188))))))),
% 7.80/5.34 inference(rewrite,[status(thm)],[])).
% 7.80/5.34 tff(1120,plain,
% 7.80/5.34 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB187, constB188)) | (v95(constB188) <=> (~((~v96(constB188)) | (~v1(constB188))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB187, constB188)) | (v95(constB188) <=> (~((~v1(constB188)) | (~v96(constB188)))))))),
% 7.80/5.34 inference(monotonicity,[status(thm)],[1119])).
% 7.80/5.34 tff(1121,plain,
% 7.80/5.34 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB187, constB188)) | (v95(constB188) <=> (~((~v96(constB188)) | (~v1(constB188))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB187, constB188)) | (v95(constB188) <=> (~((~v1(constB188)) | (~v96(constB188))))))),
% 7.80/5.34 inference(transitivity,[status(thm)],[1120, 1118])).
% 7.80/5.34 tff(1122,plain,
% 7.80/5.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB187, constB188)) | (v95(constB188) <=> (~((~v96(constB188)) | (~v1(constB188))))))),
% 7.80/5.34 inference(quant_inst,[status(thm)],[])).
% 7.80/5.34 tff(1123,plain,
% 7.80/5.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB187, constB188)) | (v95(constB188) <=> (~((~v1(constB188)) | (~v96(constB188)))))),
% 7.80/5.34 inference(modus_ponens,[status(thm)],[1122, 1121])).
% 7.80/5.34 tff(1124,plain,
% 7.80/5.34 (v95(constB188) <=> (~((~v1(constB188)) | (~v96(constB188))))),
% 7.80/5.34 inference(unit_resolution,[status(thm)],[1123, 1113, 795])).
% 7.80/5.34 tff(1125,plain,
% 7.80/5.34 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB187, constB188)) | ((~v96(constB188)) <=> v98(constB188)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB187, constB188)) | ((~v96(constB188)) <=> v98(constB188)))),
% 7.80/5.34 inference(rewrite,[status(thm)],[])).
% 7.80/5.34 tff(1126,plain,
% 7.80/5.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB187, constB188)) | ((~v96(constB188)) <=> v98(constB188)))),
% 7.80/5.34 inference(quant_inst,[status(thm)],[])).
% 7.80/5.34 tff(1127,plain,
% 7.80/5.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB187, constB188)) | ((~v96(constB188)) <=> v98(constB188))),
% 7.80/5.34 inference(modus_ponens,[status(thm)],[1126, 1125])).
% 7.80/5.34 tff(1128,plain,
% 7.80/5.34 ((~v96(constB188)) <=> v98(constB188)),
% 7.80/5.34 inference(unit_resolution,[status(thm)],[1127, 1113, 860])).
% 7.80/5.34 tff(1129,plain,
% 7.80/5.34 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB187, constB188)) | (v98(constB188) <=> v1(constB187)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB187, constB188)) | (v98(constB188) <=> v1(constB187)))),
% 7.80/5.34 inference(rewrite,[status(thm)],[])).
% 7.80/5.34 tff(1130,plain,
% 7.80/5.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB187, constB188)) | (v98(constB188) <=> v1(constB187)))),
% 7.80/5.34 inference(quant_inst,[status(thm)],[])).
% 7.80/5.34 tff(1131,plain,
% 7.80/5.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB187, constB188)) | (v98(constB188) <=> v1(constB187))),
% 7.80/5.34 inference(modus_ponens,[status(thm)],[1130, 1129])).
% 7.80/5.34 tff(1132,plain,
% 7.80/5.34 (v98(constB188) <=> v1(constB187)),
% 7.80/5.34 inference(unit_resolution,[status(thm)],[1131, 1113, 874])).
% 7.80/5.34 tff(1133,plain,
% 7.80/5.34 ((~v1(constB187)) <=> (~v1(constB187))),
% 7.80/5.34 inference(rewrite,[status(thm)],[])).
% 7.80/5.34 tff(1134,axiom,(~v1(constB187)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_187')).
% 7.80/5.34 tff(1135,plain,
% 7.80/5.34 (~v1(constB187)),
% 7.80/5.34 inference(modus_ponens,[status(thm)],[1134, 1133])).
% 7.80/5.34 tff(1136,plain,
% 7.80/5.34 ((~(v98(constB188) <=> v1(constB187))) | (~v98(constB188)) | v1(constB187)),
% 7.80/5.34 inference(tautology,[status(thm)],[])).
% 7.80/5.34 tff(1137,plain,
% 7.80/5.34 ((~(v98(constB188) <=> v1(constB187))) | (~v98(constB188))),
% 7.80/5.34 inference(unit_resolution,[status(thm)],[1136, 1135])).
% 7.80/5.34 tff(1138,plain,
% 7.80/5.34 (~v98(constB188)),
% 7.80/5.34 inference(unit_resolution,[status(thm)],[1137, 1132])).
% 7.80/5.34 tff(1139,plain,
% 7.80/5.34 ((~((~v96(constB188)) <=> v98(constB188))) | v96(constB188) | v98(constB188)),
% 7.80/5.34 inference(tautology,[status(thm)],[])).
% 7.80/5.34 tff(1140,plain,
% 7.80/5.34 (v96(constB188)),
% 7.80/5.34 inference(unit_resolution,[status(thm)],[1139, 1138, 1128])).
% 7.80/5.34 tff(1141,plain,
% 7.80/5.34 (v1(constB188) <=> v1(constB188)),
% 7.80/5.34 inference(rewrite,[status(thm)],[])).
% 7.80/5.34 tff(1142,axiom,(v1(constB188)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_188')).
% 7.80/5.34 tff(1143,plain,
% 7.80/5.34 (v1(constB188)),
% 7.80/5.34 inference(modus_ponens,[status(thm)],[1142, 1141])).
% 7.80/5.34 tff(1144,plain,
% 7.80/5.34 ((~((~v1(constB188)) | (~v96(constB188)))) | (~v1(constB188)) | (~v96(constB188))),
% 7.80/5.34 inference(tautology,[status(thm)],[])).
% 7.80/5.34 tff(1145,plain,
% 7.80/5.34 ((~((~v1(constB188)) | (~v96(constB188)))) | (~v96(constB188))),
% 7.80/5.34 inference(unit_resolution,[status(thm)],[1144, 1143])).
% 7.80/5.34 tff(1146,plain,
% 7.80/5.34 (~((~v1(constB188)) | (~v96(constB188)))),
% 7.80/5.34 inference(unit_resolution,[status(thm)],[1145, 1140])).
% 7.80/5.34 tff(1147,plain,
% 7.80/5.34 ((~(v95(constB188) <=> (~((~v1(constB188)) | (~v96(constB188)))))) | v95(constB188) | ((~v1(constB188)) | (~v96(constB188)))),
% 7.80/5.34 inference(tautology,[status(thm)],[])).
% 7.80/5.34 tff(1148,plain,
% 7.80/5.34 (v95(constB188)),
% 7.80/5.34 inference(unit_resolution,[status(thm)],[1147, 1146, 1124])).
% 7.80/5.34 tff(1149,plain,
% 7.80/5.34 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB187, constB188)) | (v104(constB188) <=> v102(constB187)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB187, constB188)) | (v104(constB188) <=> v102(constB187)))),
% 7.80/5.34 inference(rewrite,[status(thm)],[])).
% 7.80/5.34 tff(1150,plain,
% 7.80/5.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB187, constB188)) | (v104(constB188) <=> v102(constB187)))),
% 7.80/5.34 inference(quant_inst,[status(thm)],[])).
% 7.80/5.34 tff(1151,plain,
% 7.80/5.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB187, constB188)) | (v104(constB188) <=> v102(constB187))),
% 7.80/5.34 inference(modus_ponens,[status(thm)],[1150, 1149])).
% 7.80/5.34 tff(1152,plain,
% 7.80/5.34 (v104(constB188) <=> v102(constB187)),
% 7.80/5.34 inference(unit_resolution,[status(thm)],[1151, 1113, 904])).
% 7.80/5.34 tff(1153,plain,
% 7.80/5.34 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB187) <=> (v105(constB187) | v106(constB187)))),
% 7.80/5.34 inference(quant_inst,[status(thm)],[])).
% 7.80/5.34 tff(1154,plain,
% 7.80/5.34 (v102(constB187) <=> (v105(constB187) | v106(constB187))),
% 7.80/5.34 inference(unit_resolution,[status(thm)],[1153, 915])).
% 7.80/5.34 tff(1155,plain,
% 7.80/5.34 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB187) <=> (~((~v107(constB187)) | (~v120(constB187)))))),
% 7.80/5.34 inference(quant_inst,[status(thm)],[])).
% 7.80/5.34 tff(1156,plain,
% 7.80/5.34 (v106(constB187) <=> (~((~v107(constB187)) | (~v120(constB187))))),
% 7.80/5.34 inference(unit_resolution,[status(thm)],[1155, 927])).
% 7.80/5.34 tff(1157,plain,
% 7.80/5.34 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB187) <=> (v108(constB187) | v119(constB187)))),
% 7.80/5.34 inference(quant_inst,[status(thm)],[])).
% 7.80/5.34 tff(1158,plain,
% 7.80/5.34 (v107(constB187) <=> (v108(constB187) | v119(constB187))),
% 7.80/5.34 inference(unit_resolution,[status(thm)],[1157, 936])).
% 7.80/5.34 tff(1159,plain,
% 7.80/5.34 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB187) <=> (v109(constB187) | v118(constB187)))),
% 7.80/5.34 inference(quant_inst,[status(thm)],[])).
% 7.80/5.34 tff(1160,plain,
% 7.80/5.34 (v108(constB187) <=> (v109(constB187) | v118(constB187))),
% 7.80/5.34 inference(unit_resolution,[status(thm)],[1159, 945])).
% 7.80/5.34 tff(1161,plain,
% 7.80/5.34 ((~![VarCurr: $i] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB187) <=> (v110(constB187) | v117(constB187)))),
% 7.80/5.34 inference(quant_inst,[status(thm)],[])).
% 7.80/5.34 tff(1162,plain,
% 7.80/5.34 (v109(constB187) <=> (v110(constB187) | v117(constB187))),
% 7.80/5.34 inference(unit_resolution,[status(thm)],[1161, 1056])).
% 7.80/5.34 tff(1163,plain,
% 7.80/5.34 (^[VarCurr: $i] : refl((v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr))) <=> (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr))))),
% 7.80/5.34 inference(bind,[status(th)],[])).
% 7.80/5.34 tff(1164,plain,
% 7.80/5.34 (![VarCurr: $i] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr))) <=> ![VarCurr: $i] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))),
% 7.80/5.34 inference(quant_intro,[status(thm)],[1163])).
% 7.80/5.34 tff(1165,plain,
% 7.80/5.34 (![VarCurr: $i] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr))) <=> ![VarCurr: $i] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))),
% 7.80/5.34 inference(rewrite,[status(thm)],[])).
% 7.80/5.34 tff(1166,axiom,(![VarCurr: $i] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_21')).
% 7.80/5.34 tff(1167,plain,
% 7.80/5.34 (![VarCurr: $i] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))),
% 7.80/5.34 inference(modus_ponens,[status(thm)],[1166, 1165])).
% 7.80/5.34 tff(1168,plain,(
% 7.80/5.34 ![VarCurr: $i] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))),
% 7.80/5.34 inference(skolemize,[status(sab)],[1167])).
% 7.80/5.34 tff(1169,plain,
% 7.80/5.34 (![VarCurr: $i] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))),
% 7.80/5.34 inference(modus_ponens,[status(thm)],[1168, 1164])).
% 7.80/5.34 tff(1170,plain,
% 7.80/5.34 ((~![VarCurr: $i] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB187) <=> (v111(constB187) | v116(constB187)))),
% 7.80/5.34 inference(quant_inst,[status(thm)],[])).
% 7.80/5.34 tff(1171,plain,
% 7.80/5.34 (v110(constB187) <=> (v111(constB187) | v116(constB187))),
% 7.80/5.34 inference(unit_resolution,[status(thm)],[1170, 1169])).
% 7.80/5.34 tff(1172,plain,
% 7.80/5.34 (^[VarCurr: $i] : refl((v116(VarCurr) <=> (~(v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex0))))) <=> (v116(VarCurr) <=> (~(v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex0))))))),
% 7.80/5.34 inference(bind,[status(th)],[])).
% 7.80/5.34 tff(1173,plain,
% 7.80/5.34 (![VarCurr: $i] : (v116(VarCurr) <=> (~(v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex0))))) <=> ![VarCurr: $i] : (v116(VarCurr) <=> (~(v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex0)))))),
% 7.80/5.34 inference(quant_intro,[status(thm)],[1172])).
% 7.80/5.34 tff(1174,plain,
% 7.80/5.34 (^[VarCurr: $i] : rewrite((v116(VarCurr) <=> ((~v84(VarCurr, bitIndex2)) & v84(VarCurr, bitIndex1) & v84(VarCurr, bitIndex0))) <=> (v116(VarCurr) <=> (~(v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex0))))))),
% 7.80/5.34 inference(bind,[status(th)],[])).
% 7.80/5.34 tff(1175,plain,
% 7.80/5.34 (![VarCurr: $i] : (v116(VarCurr) <=> ((~v84(VarCurr, bitIndex2)) & v84(VarCurr, bitIndex1) & v84(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : (v116(VarCurr) <=> (~(v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex0)))))),
% 7.80/5.34 inference(quant_intro,[status(thm)],[1174])).
% 7.80/5.34 tff(1176,plain,
% 7.80/5.34 (![VarCurr: $i] : (v116(VarCurr) <=> ((~v84(VarCurr, bitIndex2)) & v84(VarCurr, bitIndex1) & v84(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : (v116(VarCurr) <=> ((~v84(VarCurr, bitIndex2)) & v84(VarCurr, bitIndex1) & v84(VarCurr, bitIndex0)))),
% 7.80/5.34 inference(rewrite,[status(thm)],[])).
% 7.80/5.34 tff(1177,plain,
% 7.80/5.34 (^[VarCurr: $i] : rewrite((v116(VarCurr) <=> (((v84(VarCurr, bitIndex2) <=> $false) & (v84(VarCurr, bitIndex1) <=> $true)) & (v84(VarCurr, bitIndex0) <=> $true))) <=> (v116(VarCurr) <=> ((~v84(VarCurr, bitIndex2)) & v84(VarCurr, bitIndex1) & v84(VarCurr, bitIndex0))))),
% 7.80/5.34 inference(bind,[status(th)],[])).
% 7.80/5.34 tff(1178,plain,
% 7.80/5.34 (![VarCurr: $i] : (v116(VarCurr) <=> (((v84(VarCurr, bitIndex2) <=> $false) & (v84(VarCurr, bitIndex1) <=> $true)) & (v84(VarCurr, bitIndex0) <=> $true))) <=> ![VarCurr: $i] : (v116(VarCurr) <=> ((~v84(VarCurr, bitIndex2)) & v84(VarCurr, bitIndex1) & v84(VarCurr, bitIndex0)))),
% 7.80/5.34 inference(quant_intro,[status(thm)],[1177])).
% 7.80/5.34 tff(1179,axiom,(![VarCurr: $i] : (v116(VarCurr) <=> (((v84(VarCurr, bitIndex2) <=> $false) & (v84(VarCurr, bitIndex1) <=> $true)) & (v84(VarCurr, bitIndex0) <=> $true)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_5')).
% 7.80/5.34 tff(1180,plain,
% 7.80/5.34 (![VarCurr: $i] : (v116(VarCurr) <=> ((~v84(VarCurr, bitIndex2)) & v84(VarCurr, bitIndex1) & v84(VarCurr, bitIndex0)))),
% 7.80/5.34 inference(modus_ponens,[status(thm)],[1179, 1178])).
% 7.80/5.34 tff(1181,plain,
% 7.80/5.34 (![VarCurr: $i] : (v116(VarCurr) <=> ((~v84(VarCurr, bitIndex2)) & v84(VarCurr, bitIndex1) & v84(VarCurr, bitIndex0)))),
% 7.80/5.34 inference(modus_ponens,[status(thm)],[1180, 1176])).
% 7.80/5.34 tff(1182,plain,(
% 7.80/5.34 ![VarCurr: $i] : (v116(VarCurr) <=> ((~v84(VarCurr, bitIndex2)) & v84(VarCurr, bitIndex1) & v84(VarCurr, bitIndex0)))),
% 7.80/5.34 inference(skolemize,[status(sab)],[1181])).
% 7.80/5.34 tff(1183,plain,
% 7.80/5.34 (![VarCurr: $i] : (v116(VarCurr) <=> (~(v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex0)))))),
% 7.80/5.34 inference(modus_ponens,[status(thm)],[1182, 1175])).
% 7.80/5.34 tff(1184,plain,
% 7.80/5.34 (![VarCurr: $i] : (v116(VarCurr) <=> (~(v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex0)))))),
% 7.80/5.34 inference(modus_ponens,[status(thm)],[1183, 1173])).
% 7.80/5.34 tff(1185,plain,
% 7.80/5.34 ((~![VarCurr: $i] : (v116(VarCurr) <=> (~(v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex0)))))) | (v116(constB187) <=> (~(v84(constB187, bitIndex2) | (~v84(constB187, bitIndex1)) | (~v84(constB187, bitIndex0)))))),
% 7.80/5.34 inference(quant_inst,[status(thm)],[])).
% 7.80/5.34 tff(1186,plain,
% 7.80/5.34 (v116(constB187) <=> (~(v84(constB187, bitIndex2) | (~v84(constB187, bitIndex1)) | (~v84(constB187, bitIndex0))))),
% 7.80/5.34 inference(unit_resolution,[status(thm)],[1185, 1184])).
% 7.80/5.34 tff(1187,plain,
% 7.80/5.34 (nextState(constB186, constB187) <=> nextState(constB186, constB187)),
% 7.80/5.34 inference(rewrite,[status(thm)],[])).
% 7.80/5.34 tff(1188,axiom,(nextState(constB186, constB187)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_186')).
% 7.80/5.34 tff(1189,plain,
% 7.80/5.34 (nextState(constB186, constB187)),
% 7.80/5.34 inference(modus_ponens,[status(thm)],[1188, 1187])).
% 7.80/5.34 tff(1190,plain,
% 7.80/5.34 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB186, constB187)) | (v94(constB187) <=> (~((~v104(constB187)) | (~v95(constB187))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB186, constB187)) | (v94(constB187) <=> (~((~v104(constB187)) | (~v95(constB187))))))),
% 7.80/5.35 inference(rewrite,[status(thm)],[])).
% 7.80/5.35 tff(1191,plain,
% 7.80/5.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB186, constB187)) | (v94(constB187) <=> (~((~v104(constB187)) | (~v95(constB187))))))),
% 7.80/5.35 inference(quant_inst,[status(thm)],[])).
% 7.80/5.35 tff(1192,plain,
% 7.80/5.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB186, constB187)) | (v94(constB187) <=> (~((~v104(constB187)) | (~v95(constB187)))))),
% 7.80/5.35 inference(modus_ponens,[status(thm)],[1191, 1190])).
% 7.80/5.35 tff(1193,plain,
% 7.80/5.35 (v94(constB187) <=> (~((~v104(constB187)) | (~v95(constB187))))),
% 7.80/5.35 inference(unit_resolution,[status(thm)],[1192, 1189, 775])).
% 7.80/5.35 tff(1194,plain,
% 7.80/5.35 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB186, constB187)) | (v95(constB187) <=> (~((~v1(constB187)) | (~v96(constB187))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB186, constB187)) | (v95(constB187) <=> (~((~v1(constB187)) | (~v96(constB187))))))),
% 7.80/5.35 inference(rewrite,[status(thm)],[])).
% 7.80/5.35 tff(1195,plain,
% 7.80/5.35 (((~nextState(constB186, constB187)) | (v95(constB187) <=> (~((~v96(constB187)) | (~v1(constB187)))))) <=> ((~nextState(constB186, constB187)) | (v95(constB187) <=> (~((~v1(constB187)) | (~v96(constB187))))))),
% 7.80/5.35 inference(rewrite,[status(thm)],[])).
% 7.80/5.35 tff(1196,plain,
% 7.80/5.35 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB186, constB187)) | (v95(constB187) <=> (~((~v96(constB187)) | (~v1(constB187))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB186, constB187)) | (v95(constB187) <=> (~((~v1(constB187)) | (~v96(constB187)))))))),
% 7.80/5.35 inference(monotonicity,[status(thm)],[1195])).
% 7.80/5.35 tff(1197,plain,
% 7.80/5.35 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB186, constB187)) | (v95(constB187) <=> (~((~v96(constB187)) | (~v1(constB187))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB186, constB187)) | (v95(constB187) <=> (~((~v1(constB187)) | (~v96(constB187))))))),
% 7.80/5.35 inference(transitivity,[status(thm)],[1196, 1194])).
% 7.80/5.35 tff(1198,plain,
% 7.80/5.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB186, constB187)) | (v95(constB187) <=> (~((~v96(constB187)) | (~v1(constB187))))))),
% 7.80/5.35 inference(quant_inst,[status(thm)],[])).
% 7.80/5.35 tff(1199,plain,
% 7.80/5.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB186, constB187)) | (v95(constB187) <=> (~((~v1(constB187)) | (~v96(constB187)))))),
% 7.80/5.35 inference(modus_ponens,[status(thm)],[1198, 1197])).
% 7.80/5.35 tff(1200,plain,
% 7.80/5.35 (v95(constB187) <=> (~((~v1(constB187)) | (~v96(constB187))))),
% 7.80/5.35 inference(unit_resolution,[status(thm)],[1199, 1189, 795])).
% 7.80/5.35 tff(1201,plain,
% 7.80/5.35 (((~v1(constB187)) | (~v96(constB187))) | v1(constB187)),
% 7.80/5.35 inference(tautology,[status(thm)],[])).
% 7.80/5.35 tff(1202,plain,
% 7.80/5.35 ((~v1(constB187)) | (~v96(constB187))),
% 7.80/5.35 inference(unit_resolution,[status(thm)],[1201, 1135])).
% 7.80/5.35 tff(1203,plain,
% 7.80/5.35 ((~(v95(constB187) <=> (~((~v1(constB187)) | (~v96(constB187)))))) | (~v95(constB187)) | (~((~v1(constB187)) | (~v96(constB187))))),
% 7.80/5.35 inference(tautology,[status(thm)],[])).
% 7.80/5.35 tff(1204,plain,
% 7.80/5.35 ((~(v95(constB187) <=> (~((~v1(constB187)) | (~v96(constB187)))))) | (~v95(constB187))),
% 7.80/5.35 inference(unit_resolution,[status(thm)],[1203, 1202])).
% 7.80/5.35 tff(1205,plain,
% 7.80/5.35 (~v95(constB187)),
% 7.80/5.35 inference(unit_resolution,[status(thm)],[1204, 1200])).
% 7.80/5.35 tff(1206,plain,
% 7.80/5.35 (((~v104(constB187)) | (~v95(constB187))) | v95(constB187)),
% 7.80/5.35 inference(tautology,[status(thm)],[])).
% 7.80/5.35 tff(1207,plain,
% 7.80/5.35 ((~v104(constB187)) | (~v95(constB187))),
% 7.80/5.35 inference(unit_resolution,[status(thm)],[1206, 1205])).
% 7.80/5.35 tff(1208,plain,
% 7.80/5.35 ((~(v94(constB187) <=> (~((~v104(constB187)) | (~v95(constB187)))))) | (~v94(constB187)) | (~((~v104(constB187)) | (~v95(constB187))))),
% 7.80/5.35 inference(tautology,[status(thm)],[])).
% 7.80/5.35 tff(1209,plain,
% 7.80/5.35 (~v94(constB187)),
% 7.80/5.35 inference(unit_resolution,[status(thm)],[1208, 1207, 1193])).
% 7.80/5.35 tff(1210,plain,
% 7.80/5.35 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB187) | (~nextState(constB186, constB187)) | ![B: $i] : ((~less_3(B)) | (v84(constB187, B) <=> v84(constB186, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB187) | (~nextState(constB186, constB187)) | ![B: $i] : ((~less_3(B)) | (v84(constB187, B) <=> v84(constB186, B))))),
% 7.80/5.35 inference(rewrite,[status(thm)],[])).
% 7.80/5.35 tff(1211,plain,
% 7.80/5.35 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB187) | (~nextState(constB186, constB187)) | ![B: $i] : ((~less_3(B)) | (v84(constB187, B) <=> v84(constB186, B))))),
% 7.80/5.35 inference(quant_inst,[status(thm)],[])).
% 7.80/5.35 tff(1212,plain,
% 7.80/5.35 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB187) | (~nextState(constB186, constB187)) | ![B: $i] : ((~less_3(B)) | (v84(constB187, B) <=> v84(constB186, B)))),
% 7.80/5.35 inference(modus_ponens,[status(thm)],[1211, 1210])).
% 7.80/5.35 tff(1213,plain,
% 7.80/5.35 (v94(constB187) | ![B: $i] : ((~less_3(B)) | (v84(constB187, B) <=> v84(constB186, B)))),
% 7.80/5.35 inference(unit_resolution,[status(thm)],[1212, 1189, 824])).
% 7.80/5.35 tff(1214,plain,
% 7.80/5.35 (![B: $i] : ((~less_3(B)) | (v84(constB187, B) <=> v84(constB186, B)))),
% 7.80/5.35 inference(unit_resolution,[status(thm)],[1213, 1209])).
% 7.80/5.35 tff(1215,plain,
% 7.80/5.35 (((~![B: $i] : ((~less_3(B)) | (v84(constB187, B) <=> v84(constB186, B)))) | ((~less_3(bitIndex2)) | (v84(constB187, bitIndex2) <=> v84(constB186, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB187, B) <=> v84(constB186, B)))) | (~less_3(bitIndex2)) | (v84(constB187, bitIndex2) <=> v84(constB186, bitIndex2)))),
% 7.80/5.35 inference(rewrite,[status(thm)],[])).
% 7.80/5.35 tff(1216,plain,
% 7.80/5.35 ((~![B: $i] : ((~less_3(B)) | (v84(constB187, B) <=> v84(constB186, B)))) | ((~less_3(bitIndex2)) | (v84(constB187, bitIndex2) <=> v84(constB186, bitIndex2)))),
% 7.80/5.35 inference(quant_inst,[status(thm)],[])).
% 7.80/5.35 tff(1217,plain,
% 7.80/5.35 ((~![B: $i] : ((~less_3(B)) | (v84(constB187, B) <=> v84(constB186, B)))) | (~less_3(bitIndex2)) | (v84(constB187, bitIndex2) <=> v84(constB186, bitIndex2))),
% 7.80/5.35 inference(modus_ponens,[status(thm)],[1216, 1215])).
% 7.80/5.35 tff(1218,plain,
% 7.80/5.35 (v84(constB187, bitIndex2) <=> v84(constB186, bitIndex2)),
% 7.80/5.35 inference(unit_resolution,[status(thm)],[1217, 832, 1214])).
% 7.80/5.35 tff(1219,plain,
% 7.80/5.35 (nextState(constB185, constB186) <=> nextState(constB185, constB186)),
% 7.80/5.35 inference(rewrite,[status(thm)],[])).
% 7.80/5.35 tff(1220,axiom,(nextState(constB185, constB186)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_185')).
% 7.80/5.35 tff(1221,plain,
% 7.80/5.35 (nextState(constB185, constB186)),
% 7.80/5.35 inference(modus_ponens,[status(thm)],[1220, 1219])).
% 7.80/5.35 tff(1222,plain,
% 7.80/5.35 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB185, constB186)) | (v94(constB186) <=> (~((~v104(constB186)) | (~v95(constB186))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB185, constB186)) | (v94(constB186) <=> (~((~v104(constB186)) | (~v95(constB186))))))),
% 7.80/5.35 inference(rewrite,[status(thm)],[])).
% 7.80/5.35 tff(1223,plain,
% 7.80/5.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB185, constB186)) | (v94(constB186) <=> (~((~v104(constB186)) | (~v95(constB186))))))),
% 7.80/5.35 inference(quant_inst,[status(thm)],[])).
% 7.80/5.35 tff(1224,plain,
% 7.80/5.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB185, constB186)) | (v94(constB186) <=> (~((~v104(constB186)) | (~v95(constB186)))))),
% 7.80/5.35 inference(modus_ponens,[status(thm)],[1223, 1222])).
% 7.80/5.35 tff(1225,plain,
% 7.80/5.35 (v94(constB186) <=> (~((~v104(constB186)) | (~v95(constB186))))),
% 7.80/5.35 inference(unit_resolution,[status(thm)],[1224, 1221, 775])).
% 7.80/5.35 tff(1226,plain,
% 7.80/5.35 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB185, constB186)) | (v95(constB186) <=> (~((~v1(constB186)) | (~v96(constB186))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB185, constB186)) | (v95(constB186) <=> (~((~v1(constB186)) | (~v96(constB186))))))),
% 7.80/5.35 inference(rewrite,[status(thm)],[])).
% 7.80/5.35 tff(1227,plain,
% 7.80/5.35 (((~nextState(constB185, constB186)) | (v95(constB186) <=> (~((~v96(constB186)) | (~v1(constB186)))))) <=> ((~nextState(constB185, constB186)) | (v95(constB186) <=> (~((~v1(constB186)) | (~v96(constB186))))))),
% 7.80/5.35 inference(rewrite,[status(thm)],[])).
% 7.80/5.35 tff(1228,plain,
% 7.80/5.35 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB185, constB186)) | (v95(constB186) <=> (~((~v96(constB186)) | (~v1(constB186))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB185, constB186)) | (v95(constB186) <=> (~((~v1(constB186)) | (~v96(constB186)))))))),
% 7.80/5.35 inference(monotonicity,[status(thm)],[1227])).
% 7.80/5.35 tff(1229,plain,
% 7.80/5.35 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB185, constB186)) | (v95(constB186) <=> (~((~v96(constB186)) | (~v1(constB186))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB185, constB186)) | (v95(constB186) <=> (~((~v1(constB186)) | (~v96(constB186))))))),
% 7.80/5.35 inference(transitivity,[status(thm)],[1228, 1226])).
% 7.80/5.35 tff(1230,plain,
% 7.80/5.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB185, constB186)) | (v95(constB186) <=> (~((~v96(constB186)) | (~v1(constB186))))))),
% 7.80/5.35 inference(quant_inst,[status(thm)],[])).
% 7.80/5.35 tff(1231,plain,
% 7.80/5.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB185, constB186)) | (v95(constB186) <=> (~((~v1(constB186)) | (~v96(constB186)))))),
% 7.80/5.35 inference(modus_ponens,[status(thm)],[1230, 1229])).
% 7.80/5.35 tff(1232,plain,
% 7.80/5.35 (v95(constB186) <=> (~((~v1(constB186)) | (~v96(constB186))))),
% 7.80/5.35 inference(unit_resolution,[status(thm)],[1231, 1221, 795])).
% 7.80/5.35 tff(1233,plain,
% 7.80/5.35 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB185, constB186)) | ((~v96(constB186)) <=> v98(constB186)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB185, constB186)) | ((~v96(constB186)) <=> v98(constB186)))),
% 7.80/5.35 inference(rewrite,[status(thm)],[])).
% 7.80/5.35 tff(1234,plain,
% 7.80/5.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB185, constB186)) | ((~v96(constB186)) <=> v98(constB186)))),
% 7.80/5.35 inference(quant_inst,[status(thm)],[])).
% 7.80/5.35 tff(1235,plain,
% 7.80/5.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB185, constB186)) | ((~v96(constB186)) <=> v98(constB186))),
% 7.80/5.35 inference(modus_ponens,[status(thm)],[1234, 1233])).
% 7.80/5.35 tff(1236,plain,
% 7.80/5.35 ((~v96(constB186)) <=> v98(constB186)),
% 7.80/5.35 inference(unit_resolution,[status(thm)],[1235, 1221, 860])).
% 7.80/5.35 tff(1237,plain,
% 7.80/5.35 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB185, constB186)) | (v98(constB186) <=> v1(constB185)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB185, constB186)) | (v98(constB186) <=> v1(constB185)))),
% 7.80/5.35 inference(rewrite,[status(thm)],[])).
% 7.80/5.35 tff(1238,plain,
% 7.80/5.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB185, constB186)) | (v98(constB186) <=> v1(constB185)))),
% 7.80/5.35 inference(quant_inst,[status(thm)],[])).
% 7.80/5.35 tff(1239,plain,
% 7.80/5.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB185, constB186)) | (v98(constB186) <=> v1(constB185))),
% 7.80/5.35 inference(modus_ponens,[status(thm)],[1238, 1237])).
% 7.80/5.35 tff(1240,plain,
% 7.80/5.35 (v98(constB186) <=> v1(constB185)),
% 7.80/5.35 inference(unit_resolution,[status(thm)],[1239, 1221, 874])).
% 7.80/5.35 tff(1241,plain,
% 7.80/5.35 ((~v1(constB185)) <=> (~v1(constB185))),
% 7.80/5.35 inference(rewrite,[status(thm)],[])).
% 7.80/5.35 tff(1242,axiom,(~v1(constB185)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_185')).
% 7.80/5.35 tff(1243,plain,
% 7.80/5.35 (~v1(constB185)),
% 7.80/5.35 inference(modus_ponens,[status(thm)],[1242, 1241])).
% 7.80/5.35 tff(1244,plain,
% 7.80/5.35 ((~(v98(constB186) <=> v1(constB185))) | (~v98(constB186)) | v1(constB185)),
% 7.80/5.35 inference(tautology,[status(thm)],[])).
% 7.80/5.35 tff(1245,plain,
% 7.80/5.35 ((~(v98(constB186) <=> v1(constB185))) | (~v98(constB186))),
% 7.80/5.35 inference(unit_resolution,[status(thm)],[1244, 1243])).
% 7.80/5.35 tff(1246,plain,
% 7.80/5.35 (~v98(constB186)),
% 7.80/5.35 inference(unit_resolution,[status(thm)],[1245, 1240])).
% 7.80/5.35 tff(1247,plain,
% 7.80/5.35 ((~((~v96(constB186)) <=> v98(constB186))) | v96(constB186) | v98(constB186)),
% 7.80/5.35 inference(tautology,[status(thm)],[])).
% 7.80/5.35 tff(1248,plain,
% 7.80/5.35 (v96(constB186)),
% 7.80/5.35 inference(unit_resolution,[status(thm)],[1247, 1246, 1236])).
% 7.80/5.35 tff(1249,plain,
% 7.80/5.35 (v1(constB186) <=> v1(constB186)),
% 7.80/5.35 inference(rewrite,[status(thm)],[])).
% 7.80/5.35 tff(1250,axiom,(v1(constB186)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_186')).
% 7.80/5.35 tff(1251,plain,
% 7.80/5.35 (v1(constB186)),
% 7.80/5.35 inference(modus_ponens,[status(thm)],[1250, 1249])).
% 7.80/5.35 tff(1252,plain,
% 7.80/5.35 ((~((~v1(constB186)) | (~v96(constB186)))) | (~v1(constB186)) | (~v96(constB186))),
% 7.80/5.35 inference(tautology,[status(thm)],[])).
% 7.80/5.35 tff(1253,plain,
% 7.80/5.35 ((~((~v1(constB186)) | (~v96(constB186)))) | (~v96(constB186))),
% 7.80/5.35 inference(unit_resolution,[status(thm)],[1252, 1251])).
% 7.80/5.35 tff(1254,plain,
% 7.80/5.35 (~((~v1(constB186)) | (~v96(constB186)))),
% 7.80/5.35 inference(unit_resolution,[status(thm)],[1253, 1248])).
% 7.80/5.35 tff(1255,plain,
% 7.80/5.35 ((~(v95(constB186) <=> (~((~v1(constB186)) | (~v96(constB186)))))) | v95(constB186) | ((~v1(constB186)) | (~v96(constB186)))),
% 7.80/5.35 inference(tautology,[status(thm)],[])).
% 7.80/5.35 tff(1256,plain,
% 7.80/5.35 (v95(constB186)),
% 7.80/5.35 inference(unit_resolution,[status(thm)],[1255, 1254, 1232])).
% 7.80/5.35 tff(1257,plain,
% 7.80/5.35 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB185, constB186)) | (v104(constB186) <=> v102(constB185)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB185, constB186)) | (v104(constB186) <=> v102(constB185)))),
% 7.80/5.35 inference(rewrite,[status(thm)],[])).
% 7.80/5.35 tff(1258,plain,
% 7.80/5.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB185, constB186)) | (v104(constB186) <=> v102(constB185)))),
% 7.80/5.35 inference(quant_inst,[status(thm)],[])).
% 7.80/5.35 tff(1259,plain,
% 7.80/5.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB185, constB186)) | (v104(constB186) <=> v102(constB185))),
% 7.80/5.35 inference(modus_ponens,[status(thm)],[1258, 1257])).
% 7.80/5.35 tff(1260,plain,
% 7.80/5.35 (v104(constB186) <=> v102(constB185)),
% 7.80/5.35 inference(unit_resolution,[status(thm)],[1259, 1221, 904])).
% 7.80/5.35 tff(1261,plain,
% 7.80/5.35 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB185) <=> (v105(constB185) | v106(constB185)))),
% 7.80/5.35 inference(quant_inst,[status(thm)],[])).
% 7.80/5.35 tff(1262,plain,
% 7.80/5.35 (v102(constB185) <=> (v105(constB185) | v106(constB185))),
% 7.80/5.35 inference(unit_resolution,[status(thm)],[1261, 915])).
% 7.80/5.35 tff(1263,plain,
% 7.80/5.35 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB185) <=> (~((~v107(constB185)) | (~v120(constB185)))))),
% 7.80/5.35 inference(quant_inst,[status(thm)],[])).
% 7.80/5.35 tff(1264,plain,
% 7.80/5.35 (v106(constB185) <=> (~((~v107(constB185)) | (~v120(constB185))))),
% 7.80/5.35 inference(unit_resolution,[status(thm)],[1263, 927])).
% 7.80/5.35 tff(1265,plain,
% 7.80/5.35 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB185) <=> (v108(constB185) | v119(constB185)))),
% 7.80/5.35 inference(quant_inst,[status(thm)],[])).
% 7.80/5.35 tff(1266,plain,
% 7.80/5.35 (v107(constB185) <=> (v108(constB185) | v119(constB185))),
% 7.80/5.35 inference(unit_resolution,[status(thm)],[1265, 936])).
% 7.80/5.35 tff(1267,plain,
% 7.80/5.35 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB185) <=> (v109(constB185) | v118(constB185)))),
% 7.80/5.35 inference(quant_inst,[status(thm)],[])).
% 7.80/5.35 tff(1268,plain,
% 7.80/5.35 (v108(constB185) <=> (v109(constB185) | v118(constB185))),
% 7.80/5.35 inference(unit_resolution,[status(thm)],[1267, 945])).
% 7.80/5.35 tff(1269,plain,
% 7.80/5.35 ((~![VarCurr: $i] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB185) <=> (v110(constB185) | v117(constB185)))),
% 7.80/5.35 inference(quant_inst,[status(thm)],[])).
% 7.80/5.35 tff(1270,plain,
% 7.80/5.35 (v109(constB185) <=> (v110(constB185) | v117(constB185))),
% 7.80/5.35 inference(unit_resolution,[status(thm)],[1269, 1056])).
% 7.80/5.35 tff(1271,plain,
% 7.80/5.35 ((~![VarCurr: $i] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB185) <=> (v111(constB185) | v116(constB185)))),
% 7.80/5.35 inference(quant_inst,[status(thm)],[])).
% 7.80/5.35 tff(1272,plain,
% 7.80/5.35 (v110(constB185) <=> (v111(constB185) | v116(constB185))),
% 7.80/5.35 inference(unit_resolution,[status(thm)],[1271, 1169])).
% 7.80/5.35 tff(1273,plain,
% 7.80/5.35 (^[VarCurr: $i] : refl((v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr))) <=> (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr))))),
% 7.80/5.35 inference(bind,[status(th)],[])).
% 7.80/5.35 tff(1274,plain,
% 7.80/5.35 (![VarCurr: $i] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr))) <=> ![VarCurr: $i] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))),
% 7.80/5.35 inference(quant_intro,[status(thm)],[1273])).
% 7.80/5.35 tff(1275,plain,
% 7.80/5.35 (![VarCurr: $i] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr))) <=> ![VarCurr: $i] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))),
% 7.80/5.35 inference(rewrite,[status(thm)],[])).
% 7.80/5.35 tff(1276,axiom,(![VarCurr: $i] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_20')).
% 7.80/5.35 tff(1277,plain,
% 7.80/5.35 (![VarCurr: $i] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))),
% 7.80/5.35 inference(modus_ponens,[status(thm)],[1276, 1275])).
% 7.80/5.35 tff(1278,plain,(
% 7.80/5.35 ![VarCurr: $i] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))),
% 7.80/5.35 inference(skolemize,[status(sab)],[1277])).
% 7.80/5.35 tff(1279,plain,
% 7.80/5.35 (![VarCurr: $i] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))),
% 7.80/5.35 inference(modus_ponens,[status(thm)],[1278, 1274])).
% 7.80/5.35 tff(1280,plain,
% 7.80/5.35 ((~![VarCurr: $i] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB185) <=> (v112(constB185) | v115(constB185)))),
% 7.80/5.35 inference(quant_inst,[status(thm)],[])).
% 7.80/5.35 tff(1281,plain,
% 7.80/5.35 (v111(constB185) <=> (v112(constB185) | v115(constB185))),
% 7.80/5.35 inference(unit_resolution,[status(thm)],[1280, 1279])).
% 7.80/5.35 tff(1282,plain,
% 7.80/5.35 (^[VarCurr: $i] : refl((v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1))))) <=> (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1))))))),
% 7.80/5.35 inference(bind,[status(th)],[])).
% 7.80/5.35 tff(1283,plain,
% 7.80/5.35 (![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1))))) <=> ![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))),
% 7.80/5.35 inference(quant_intro,[status(thm)],[1282])).
% 7.80/5.35 tff(1284,plain,
% 7.80/5.35 (^[VarCurr: $i] : rewrite((v115(VarCurr) <=> ((~v84(VarCurr, bitIndex2)) & v84(VarCurr, bitIndex1) & (~v84(VarCurr, bitIndex0)))) <=> (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1))))))),
% 7.80/5.35 inference(bind,[status(th)],[])).
% 7.80/5.35 tff(1285,plain,
% 7.80/5.35 (![VarCurr: $i] : (v115(VarCurr) <=> ((~v84(VarCurr, bitIndex2)) & v84(VarCurr, bitIndex1) & (~v84(VarCurr, bitIndex0)))) <=> ![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))),
% 7.80/5.35 inference(quant_intro,[status(thm)],[1284])).
% 7.80/5.35 tff(1286,plain,
% 7.80/5.35 (![VarCurr: $i] : (v115(VarCurr) <=> ((~v84(VarCurr, bitIndex2)) & v84(VarCurr, bitIndex1) & (~v84(VarCurr, bitIndex0)))) <=> ![VarCurr: $i] : (v115(VarCurr) <=> ((~v84(VarCurr, bitIndex2)) & v84(VarCurr, bitIndex1) & (~v84(VarCurr, bitIndex0))))),
% 7.80/5.35 inference(rewrite,[status(thm)],[])).
% 7.80/5.35 tff(1287,plain,
% 7.80/5.35 (^[VarCurr: $i] : rewrite((v115(VarCurr) <=> (((v84(VarCurr, bitIndex2) <=> $false) & (v84(VarCurr, bitIndex1) <=> $true)) & (v84(VarCurr, bitIndex0) <=> $false))) <=> (v115(VarCurr) <=> ((~v84(VarCurr, bitIndex2)) & v84(VarCurr, bitIndex1) & (~v84(VarCurr, bitIndex0)))))),
% 7.80/5.35 inference(bind,[status(th)],[])).
% 7.80/5.35 tff(1288,plain,
% 7.80/5.35 (![VarCurr: $i] : (v115(VarCurr) <=> (((v84(VarCurr, bitIndex2) <=> $false) & (v84(VarCurr, bitIndex1) <=> $true)) & (v84(VarCurr, bitIndex0) <=> $false))) <=> ![VarCurr: $i] : (v115(VarCurr) <=> ((~v84(VarCurr, bitIndex2)) & v84(VarCurr, bitIndex1) & (~v84(VarCurr, bitIndex0))))),
% 7.80/5.35 inference(quant_intro,[status(thm)],[1287])).
% 7.80/5.35 tff(1289,axiom,(![VarCurr: $i] : (v115(VarCurr) <=> (((v84(VarCurr, bitIndex2) <=> $false) & (v84(VarCurr, bitIndex1) <=> $true)) & (v84(VarCurr, bitIndex0) <=> $false)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_4')).
% 7.80/5.35 tff(1290,plain,
% 7.80/5.35 (![VarCurr: $i] : (v115(VarCurr) <=> ((~v84(VarCurr, bitIndex2)) & v84(VarCurr, bitIndex1) & (~v84(VarCurr, bitIndex0))))),
% 7.80/5.35 inference(modus_ponens,[status(thm)],[1289, 1288])).
% 7.80/5.35 tff(1291,plain,
% 7.80/5.35 (![VarCurr: $i] : (v115(VarCurr) <=> ((~v84(VarCurr, bitIndex2)) & v84(VarCurr, bitIndex1) & (~v84(VarCurr, bitIndex0))))),
% 7.80/5.35 inference(modus_ponens,[status(thm)],[1290, 1286])).
% 7.80/5.35 tff(1292,plain,(
% 7.80/5.35 ![VarCurr: $i] : (v115(VarCurr) <=> ((~v84(VarCurr, bitIndex2)) & v84(VarCurr, bitIndex1) & (~v84(VarCurr, bitIndex0))))),
% 7.80/5.35 inference(skolemize,[status(sab)],[1291])).
% 7.80/5.35 tff(1293,plain,
% 7.80/5.35 (![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))),
% 7.80/5.35 inference(modus_ponens,[status(thm)],[1292, 1285])).
% 7.80/5.35 tff(1294,plain,
% 7.80/5.35 (![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))),
% 7.80/5.35 inference(modus_ponens,[status(thm)],[1293, 1283])).
% 7.80/5.35 tff(1295,plain,
% 7.80/5.35 (((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB185) <=> (~(v84(constB185, bitIndex2) | (~v84(constB185, bitIndex1)) | v84(constB185, bitIndex0))))) <=> ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB185) <=> (~(v84(constB185, bitIndex2) | (~v84(constB185, bitIndex1)) | v84(constB185, bitIndex0)))))),
% 7.80/5.35 inference(rewrite,[status(thm)],[])).
% 7.80/5.35 tff(1296,plain,
% 7.80/5.35 ((v115(constB185) <=> (~(v84(constB185, bitIndex0) | v84(constB185, bitIndex2) | (~v84(constB185, bitIndex1))))) <=> (v115(constB185) <=> (~(v84(constB185, bitIndex2) | (~v84(constB185, bitIndex1)) | v84(constB185, bitIndex0))))),
% 7.80/5.35 inference(rewrite,[status(thm)],[])).
% 7.80/5.35 tff(1297,plain,
% 7.80/5.35 (((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB185) <=> (~(v84(constB185, bitIndex0) | v84(constB185, bitIndex2) | (~v84(constB185, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB185) <=> (~(v84(constB185, bitIndex2) | (~v84(constB185, bitIndex1)) | v84(constB185, bitIndex0)))))),
% 7.80/5.35 inference(monotonicity,[status(thm)],[1296])).
% 7.80/5.35 tff(1298,plain,
% 7.80/5.35 (((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB185) <=> (~(v84(constB185, bitIndex0) | v84(constB185, bitIndex2) | (~v84(constB185, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB185) <=> (~(v84(constB185, bitIndex2) | (~v84(constB185, bitIndex1)) | v84(constB185, bitIndex0)))))),
% 7.80/5.35 inference(transitivity,[status(thm)],[1297, 1295])).
% 7.80/5.35 tff(1299,plain,
% 7.80/5.35 ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB185) <=> (~(v84(constB185, bitIndex0) | v84(constB185, bitIndex2) | (~v84(constB185, bitIndex1)))))),
% 7.80/5.35 inference(quant_inst,[status(thm)],[])).
% 7.80/5.35 tff(1300,plain,
% 7.80/5.35 ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB185) <=> (~(v84(constB185, bitIndex2) | (~v84(constB185, bitIndex1)) | v84(constB185, bitIndex0))))),
% 7.80/5.35 inference(modus_ponens,[status(thm)],[1299, 1298])).
% 7.80/5.35 tff(1301,plain,
% 7.80/5.35 (v115(constB185) <=> (~(v84(constB185, bitIndex2) | (~v84(constB185, bitIndex1)) | v84(constB185, bitIndex0)))),
% 7.80/5.35 inference(unit_resolution,[status(thm)],[1300, 1294])).
% 7.80/5.35 tff(1302,plain,
% 7.80/5.35 (nextState(constB184, constB185) <=> nextState(constB184, constB185)),
% 7.80/5.35 inference(rewrite,[status(thm)],[])).
% 7.80/5.35 tff(1303,axiom,(nextState(constB184, constB185)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_184')).
% 7.80/5.35 tff(1304,plain,
% 7.80/5.35 (nextState(constB184, constB185)),
% 7.80/5.35 inference(modus_ponens,[status(thm)],[1303, 1302])).
% 7.80/5.35 tff(1305,plain,
% 7.80/5.35 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB184, constB185)) | (v94(constB185) <=> (~((~v104(constB185)) | (~v95(constB185))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB184, constB185)) | (v94(constB185) <=> (~((~v104(constB185)) | (~v95(constB185))))))),
% 7.80/5.35 inference(rewrite,[status(thm)],[])).
% 7.80/5.35 tff(1306,plain,
% 7.80/5.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB184, constB185)) | (v94(constB185) <=> (~((~v104(constB185)) | (~v95(constB185))))))),
% 7.80/5.35 inference(quant_inst,[status(thm)],[])).
% 7.80/5.35 tff(1307,plain,
% 7.80/5.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB184, constB185)) | (v94(constB185) <=> (~((~v104(constB185)) | (~v95(constB185)))))),
% 7.80/5.35 inference(modus_ponens,[status(thm)],[1306, 1305])).
% 7.80/5.35 tff(1308,plain,
% 7.80/5.35 (v94(constB185) <=> (~((~v104(constB185)) | (~v95(constB185))))),
% 7.80/5.35 inference(unit_resolution,[status(thm)],[1307, 1304, 775])).
% 7.80/5.35 tff(1309,plain,
% 7.80/5.35 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB184, constB185)) | (v95(constB185) <=> (~((~v1(constB185)) | (~v96(constB185))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB184, constB185)) | (v95(constB185) <=> (~((~v1(constB185)) | (~v96(constB185))))))),
% 7.80/5.35 inference(rewrite,[status(thm)],[])).
% 7.80/5.35 tff(1310,plain,
% 7.80/5.35 (((~nextState(constB184, constB185)) | (v95(constB185) <=> (~((~v96(constB185)) | (~v1(constB185)))))) <=> ((~nextState(constB184, constB185)) | (v95(constB185) <=> (~((~v1(constB185)) | (~v96(constB185))))))),
% 7.80/5.35 inference(rewrite,[status(thm)],[])).
% 7.80/5.35 tff(1311,plain,
% 7.80/5.35 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB184, constB185)) | (v95(constB185) <=> (~((~v96(constB185)) | (~v1(constB185))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB184, constB185)) | (v95(constB185) <=> (~((~v1(constB185)) | (~v96(constB185)))))))),
% 7.80/5.35 inference(monotonicity,[status(thm)],[1310])).
% 7.80/5.35 tff(1312,plain,
% 7.80/5.35 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB184, constB185)) | (v95(constB185) <=> (~((~v96(constB185)) | (~v1(constB185))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB184, constB185)) | (v95(constB185) <=> (~((~v1(constB185)) | (~v96(constB185))))))),
% 7.80/5.35 inference(transitivity,[status(thm)],[1311, 1309])).
% 7.80/5.35 tff(1313,plain,
% 7.80/5.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB184, constB185)) | (v95(constB185) <=> (~((~v96(constB185)) | (~v1(constB185))))))),
% 7.80/5.35 inference(quant_inst,[status(thm)],[])).
% 7.80/5.35 tff(1314,plain,
% 7.80/5.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB184, constB185)) | (v95(constB185) <=> (~((~v1(constB185)) | (~v96(constB185)))))),
% 7.80/5.35 inference(modus_ponens,[status(thm)],[1313, 1312])).
% 7.80/5.35 tff(1315,plain,
% 7.80/5.35 (v95(constB185) <=> (~((~v1(constB185)) | (~v96(constB185))))),
% 7.80/5.35 inference(unit_resolution,[status(thm)],[1314, 1304, 795])).
% 7.80/5.35 tff(1316,plain,
% 7.80/5.35 (((~v1(constB185)) | (~v96(constB185))) | v1(constB185)),
% 7.80/5.35 inference(tautology,[status(thm)],[])).
% 7.80/5.35 tff(1317,plain,
% 7.80/5.35 ((~v1(constB185)) | (~v96(constB185))),
% 7.80/5.35 inference(unit_resolution,[status(thm)],[1316, 1243])).
% 7.80/5.35 tff(1318,plain,
% 7.80/5.35 ((~(v95(constB185) <=> (~((~v1(constB185)) | (~v96(constB185)))))) | (~v95(constB185)) | (~((~v1(constB185)) | (~v96(constB185))))),
% 7.80/5.35 inference(tautology,[status(thm)],[])).
% 7.80/5.35 tff(1319,plain,
% 7.80/5.35 ((~(v95(constB185) <=> (~((~v1(constB185)) | (~v96(constB185)))))) | (~v95(constB185))),
% 7.80/5.35 inference(unit_resolution,[status(thm)],[1318, 1317])).
% 7.80/5.35 tff(1320,plain,
% 7.80/5.35 (~v95(constB185)),
% 7.80/5.35 inference(unit_resolution,[status(thm)],[1319, 1315])).
% 7.80/5.35 tff(1321,plain,
% 7.80/5.35 (((~v104(constB185)) | (~v95(constB185))) | v95(constB185)),
% 7.80/5.35 inference(tautology,[status(thm)],[])).
% 7.80/5.35 tff(1322,plain,
% 7.80/5.35 ((~v104(constB185)) | (~v95(constB185))),
% 7.80/5.35 inference(unit_resolution,[status(thm)],[1321, 1320])).
% 7.80/5.35 tff(1323,plain,
% 7.80/5.35 ((~(v94(constB185) <=> (~((~v104(constB185)) | (~v95(constB185)))))) | (~v94(constB185)) | (~((~v104(constB185)) | (~v95(constB185))))),
% 7.80/5.35 inference(tautology,[status(thm)],[])).
% 7.80/5.35 tff(1324,plain,
% 7.80/5.35 (~v94(constB185)),
% 7.80/5.35 inference(unit_resolution,[status(thm)],[1323, 1322, 1308])).
% 7.80/5.35 tff(1325,plain,
% 7.80/5.35 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB185) | (~nextState(constB184, constB185)) | ![B: $i] : ((~less_3(B)) | (v84(constB185, B) <=> v84(constB184, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB185) | (~nextState(constB184, constB185)) | ![B: $i] : ((~less_3(B)) | (v84(constB185, B) <=> v84(constB184, B))))),
% 7.80/5.35 inference(rewrite,[status(thm)],[])).
% 7.80/5.35 tff(1326,plain,
% 7.80/5.35 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB185) | (~nextState(constB184, constB185)) | ![B: $i] : ((~less_3(B)) | (v84(constB185, B) <=> v84(constB184, B))))),
% 7.80/5.35 inference(quant_inst,[status(thm)],[])).
% 7.80/5.35 tff(1327,plain,
% 7.80/5.35 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB185) | (~nextState(constB184, constB185)) | ![B: $i] : ((~less_3(B)) | (v84(constB185, B) <=> v84(constB184, B)))),
% 7.80/5.35 inference(modus_ponens,[status(thm)],[1326, 1325])).
% 7.80/5.35 tff(1328,plain,
% 7.80/5.35 (v94(constB185) | ![B: $i] : ((~less_3(B)) | (v84(constB185, B) <=> v84(constB184, B)))),
% 7.80/5.35 inference(unit_resolution,[status(thm)],[1327, 1304, 824])).
% 7.80/5.35 tff(1329,plain,
% 7.80/5.35 (![B: $i] : ((~less_3(B)) | (v84(constB185, B) <=> v84(constB184, B)))),
% 7.80/5.35 inference(unit_resolution,[status(thm)],[1328, 1324])).
% 7.80/5.35 tff(1330,plain,
% 7.80/5.35 (((~![B: $i] : ((~less_3(B)) | (v84(constB185, B) <=> v84(constB184, B)))) | ((~less_3(bitIndex2)) | (v84(constB185, bitIndex2) <=> v84(constB184, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB185, B) <=> v84(constB184, B)))) | (~less_3(bitIndex2)) | (v84(constB185, bitIndex2) <=> v84(constB184, bitIndex2)))),
% 7.80/5.35 inference(rewrite,[status(thm)],[])).
% 7.80/5.35 tff(1331,plain,
% 7.80/5.35 ((~![B: $i] : ((~less_3(B)) | (v84(constB185, B) <=> v84(constB184, B)))) | ((~less_3(bitIndex2)) | (v84(constB185, bitIndex2) <=> v84(constB184, bitIndex2)))),
% 7.80/5.35 inference(quant_inst,[status(thm)],[])).
% 7.80/5.35 tff(1332,plain,
% 7.80/5.35 ((~![B: $i] : ((~less_3(B)) | (v84(constB185, B) <=> v84(constB184, B)))) | (~less_3(bitIndex2)) | (v84(constB185, bitIndex2) <=> v84(constB184, bitIndex2))),
% 7.80/5.35 inference(modus_ponens,[status(thm)],[1331, 1330])).
% 7.80/5.35 tff(1333,plain,
% 7.80/5.35 (v84(constB185, bitIndex2) <=> v84(constB184, bitIndex2)),
% 7.80/5.35 inference(unit_resolution,[status(thm)],[1332, 832, 1329])).
% 7.80/5.35 tff(1334,plain,
% 7.80/5.35 (nextState(constB183, constB184) <=> nextState(constB183, constB184)),
% 7.80/5.35 inference(rewrite,[status(thm)],[])).
% 7.80/5.35 tff(1335,axiom,(nextState(constB183, constB184)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_183')).
% 7.80/5.35 tff(1336,plain,
% 7.80/5.35 (nextState(constB183, constB184)),
% 7.80/5.35 inference(modus_ponens,[status(thm)],[1335, 1334])).
% 7.80/5.35 tff(1337,plain,
% 7.80/5.35 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB183, constB184)) | (v94(constB184) <=> (~((~v104(constB184)) | (~v95(constB184))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB183, constB184)) | (v94(constB184) <=> (~((~v104(constB184)) | (~v95(constB184))))))),
% 7.80/5.35 inference(rewrite,[status(thm)],[])).
% 7.80/5.35 tff(1338,plain,
% 7.80/5.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB183, constB184)) | (v94(constB184) <=> (~((~v104(constB184)) | (~v95(constB184))))))),
% 7.80/5.35 inference(quant_inst,[status(thm)],[])).
% 7.80/5.35 tff(1339,plain,
% 7.80/5.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB183, constB184)) | (v94(constB184) <=> (~((~v104(constB184)) | (~v95(constB184)))))),
% 7.80/5.35 inference(modus_ponens,[status(thm)],[1338, 1337])).
% 7.80/5.35 tff(1340,plain,
% 7.80/5.35 (v94(constB184) <=> (~((~v104(constB184)) | (~v95(constB184))))),
% 7.80/5.35 inference(unit_resolution,[status(thm)],[1339, 1336, 775])).
% 7.80/5.35 tff(1341,plain,
% 7.80/5.35 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB183, constB184)) | (v95(constB184) <=> (~((~v1(constB184)) | (~v96(constB184))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB183, constB184)) | (v95(constB184) <=> (~((~v1(constB184)) | (~v96(constB184))))))),
% 7.80/5.36 inference(rewrite,[status(thm)],[])).
% 7.80/5.36 tff(1342,plain,
% 7.80/5.36 (((~nextState(constB183, constB184)) | (v95(constB184) <=> (~((~v96(constB184)) | (~v1(constB184)))))) <=> ((~nextState(constB183, constB184)) | (v95(constB184) <=> (~((~v1(constB184)) | (~v96(constB184))))))),
% 7.80/5.36 inference(rewrite,[status(thm)],[])).
% 7.80/5.36 tff(1343,plain,
% 7.80/5.36 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB183, constB184)) | (v95(constB184) <=> (~((~v96(constB184)) | (~v1(constB184))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB183, constB184)) | (v95(constB184) <=> (~((~v1(constB184)) | (~v96(constB184)))))))),
% 7.80/5.36 inference(monotonicity,[status(thm)],[1342])).
% 7.80/5.36 tff(1344,plain,
% 7.80/5.36 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB183, constB184)) | (v95(constB184) <=> (~((~v96(constB184)) | (~v1(constB184))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB183, constB184)) | (v95(constB184) <=> (~((~v1(constB184)) | (~v96(constB184))))))),
% 7.80/5.36 inference(transitivity,[status(thm)],[1343, 1341])).
% 7.80/5.36 tff(1345,plain,
% 7.80/5.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB183, constB184)) | (v95(constB184) <=> (~((~v96(constB184)) | (~v1(constB184))))))),
% 7.80/5.36 inference(quant_inst,[status(thm)],[])).
% 7.80/5.36 tff(1346,plain,
% 7.80/5.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB183, constB184)) | (v95(constB184) <=> (~((~v1(constB184)) | (~v96(constB184)))))),
% 7.80/5.36 inference(modus_ponens,[status(thm)],[1345, 1344])).
% 7.80/5.36 tff(1347,plain,
% 7.80/5.36 (v95(constB184) <=> (~((~v1(constB184)) | (~v96(constB184))))),
% 7.80/5.36 inference(unit_resolution,[status(thm)],[1346, 1336, 795])).
% 7.80/5.36 tff(1348,plain,
% 7.80/5.36 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB183, constB184)) | ((~v96(constB184)) <=> v98(constB184)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB183, constB184)) | ((~v96(constB184)) <=> v98(constB184)))),
% 7.80/5.36 inference(rewrite,[status(thm)],[])).
% 7.80/5.36 tff(1349,plain,
% 7.80/5.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB183, constB184)) | ((~v96(constB184)) <=> v98(constB184)))),
% 7.80/5.36 inference(quant_inst,[status(thm)],[])).
% 7.80/5.36 tff(1350,plain,
% 7.80/5.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB183, constB184)) | ((~v96(constB184)) <=> v98(constB184))),
% 7.80/5.36 inference(modus_ponens,[status(thm)],[1349, 1348])).
% 7.80/5.36 tff(1351,plain,
% 7.80/5.36 ((~v96(constB184)) <=> v98(constB184)),
% 7.80/5.36 inference(unit_resolution,[status(thm)],[1350, 1336, 860])).
% 7.80/5.36 tff(1352,plain,
% 7.80/5.36 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB183, constB184)) | (v98(constB184) <=> v1(constB183)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB183, constB184)) | (v98(constB184) <=> v1(constB183)))),
% 7.80/5.36 inference(rewrite,[status(thm)],[])).
% 7.80/5.36 tff(1353,plain,
% 7.80/5.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB183, constB184)) | (v98(constB184) <=> v1(constB183)))),
% 7.80/5.36 inference(quant_inst,[status(thm)],[])).
% 7.80/5.36 tff(1354,plain,
% 7.80/5.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB183, constB184)) | (v98(constB184) <=> v1(constB183))),
% 7.80/5.36 inference(modus_ponens,[status(thm)],[1353, 1352])).
% 7.80/5.36 tff(1355,plain,
% 7.80/5.36 (v98(constB184) <=> v1(constB183)),
% 7.80/5.36 inference(unit_resolution,[status(thm)],[1354, 1336, 874])).
% 7.80/5.36 tff(1356,plain,
% 7.80/5.36 ((~v1(constB183)) <=> (~v1(constB183))),
% 7.80/5.36 inference(rewrite,[status(thm)],[])).
% 7.80/5.36 tff(1357,axiom,(~v1(constB183)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_183')).
% 7.80/5.36 tff(1358,plain,
% 7.80/5.36 (~v1(constB183)),
% 7.80/5.36 inference(modus_ponens,[status(thm)],[1357, 1356])).
% 7.80/5.36 tff(1359,plain,
% 7.80/5.36 ((~(v98(constB184) <=> v1(constB183))) | (~v98(constB184)) | v1(constB183)),
% 7.80/5.36 inference(tautology,[status(thm)],[])).
% 7.80/5.36 tff(1360,plain,
% 7.80/5.36 ((~(v98(constB184) <=> v1(constB183))) | (~v98(constB184))),
% 7.80/5.36 inference(unit_resolution,[status(thm)],[1359, 1358])).
% 7.80/5.36 tff(1361,plain,
% 7.80/5.36 (~v98(constB184)),
% 7.80/5.36 inference(unit_resolution,[status(thm)],[1360, 1355])).
% 7.80/5.36 tff(1362,plain,
% 7.80/5.36 ((~((~v96(constB184)) <=> v98(constB184))) | v96(constB184) | v98(constB184)),
% 7.80/5.36 inference(tautology,[status(thm)],[])).
% 7.80/5.36 tff(1363,plain,
% 7.80/5.36 (v96(constB184)),
% 7.80/5.36 inference(unit_resolution,[status(thm)],[1362, 1361, 1351])).
% 7.80/5.36 tff(1364,plain,
% 7.80/5.36 (v1(constB184) <=> v1(constB184)),
% 7.80/5.36 inference(rewrite,[status(thm)],[])).
% 7.80/5.36 tff(1365,axiom,(v1(constB184)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_184')).
% 7.80/5.36 tff(1366,plain,
% 7.80/5.36 (v1(constB184)),
% 7.80/5.36 inference(modus_ponens,[status(thm)],[1365, 1364])).
% 7.80/5.36 tff(1367,plain,
% 7.80/5.36 ((~((~v1(constB184)) | (~v96(constB184)))) | (~v1(constB184)) | (~v96(constB184))),
% 7.80/5.36 inference(tautology,[status(thm)],[])).
% 7.80/5.36 tff(1368,plain,
% 7.80/5.36 ((~((~v1(constB184)) | (~v96(constB184)))) | (~v96(constB184))),
% 7.80/5.36 inference(unit_resolution,[status(thm)],[1367, 1366])).
% 7.80/5.36 tff(1369,plain,
% 7.80/5.36 (~((~v1(constB184)) | (~v96(constB184)))),
% 7.80/5.36 inference(unit_resolution,[status(thm)],[1368, 1363])).
% 7.80/5.36 tff(1370,plain,
% 7.80/5.36 ((~(v95(constB184) <=> (~((~v1(constB184)) | (~v96(constB184)))))) | v95(constB184) | ((~v1(constB184)) | (~v96(constB184)))),
% 7.80/5.36 inference(tautology,[status(thm)],[])).
% 7.80/5.36 tff(1371,plain,
% 7.80/5.36 (v95(constB184)),
% 7.80/5.36 inference(unit_resolution,[status(thm)],[1370, 1369, 1347])).
% 7.80/5.36 tff(1372,plain,
% 7.80/5.36 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB183, constB184)) | (v104(constB184) <=> v102(constB183)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB183, constB184)) | (v104(constB184) <=> v102(constB183)))),
% 7.80/5.36 inference(rewrite,[status(thm)],[])).
% 7.80/5.36 tff(1373,plain,
% 7.80/5.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB183, constB184)) | (v104(constB184) <=> v102(constB183)))),
% 7.80/5.36 inference(quant_inst,[status(thm)],[])).
% 7.80/5.36 tff(1374,plain,
% 7.80/5.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB183, constB184)) | (v104(constB184) <=> v102(constB183))),
% 7.80/5.36 inference(modus_ponens,[status(thm)],[1373, 1372])).
% 7.80/5.36 tff(1375,plain,
% 7.80/5.36 (v104(constB184) <=> v102(constB183)),
% 7.80/5.36 inference(unit_resolution,[status(thm)],[1374, 1336, 904])).
% 7.80/5.36 tff(1376,plain,
% 7.80/5.36 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB183) <=> (v105(constB183) | v106(constB183)))),
% 7.80/5.36 inference(quant_inst,[status(thm)],[])).
% 7.80/5.36 tff(1377,plain,
% 7.80/5.36 (v102(constB183) <=> (v105(constB183) | v106(constB183))),
% 7.80/5.36 inference(unit_resolution,[status(thm)],[1376, 915])).
% 7.80/5.36 tff(1378,plain,
% 7.80/5.36 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB183) <=> (~((~v107(constB183)) | (~v120(constB183)))))),
% 7.80/5.36 inference(quant_inst,[status(thm)],[])).
% 7.80/5.36 tff(1379,plain,
% 7.80/5.36 (v106(constB183) <=> (~((~v107(constB183)) | (~v120(constB183))))),
% 7.80/5.36 inference(unit_resolution,[status(thm)],[1378, 927])).
% 7.80/5.36 tff(1380,plain,
% 7.80/5.36 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB183) <=> (v108(constB183) | v119(constB183)))),
% 7.80/5.36 inference(quant_inst,[status(thm)],[])).
% 7.80/5.36 tff(1381,plain,
% 7.80/5.36 (v107(constB183) <=> (v108(constB183) | v119(constB183))),
% 7.80/5.36 inference(unit_resolution,[status(thm)],[1380, 936])).
% 7.80/5.36 tff(1382,plain,
% 7.80/5.36 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB183) <=> (v109(constB183) | v118(constB183)))),
% 7.80/5.36 inference(quant_inst,[status(thm)],[])).
% 7.80/5.36 tff(1383,plain,
% 7.80/5.36 (v108(constB183) <=> (v109(constB183) | v118(constB183))),
% 7.80/5.36 inference(unit_resolution,[status(thm)],[1382, 945])).
% 7.80/5.36 tff(1384,plain,
% 7.80/5.36 ((~![VarCurr: $i] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB183) <=> (v110(constB183) | v117(constB183)))),
% 7.80/5.36 inference(quant_inst,[status(thm)],[])).
% 7.80/5.36 tff(1385,plain,
% 7.80/5.36 (v109(constB183) <=> (v110(constB183) | v117(constB183))),
% 7.80/5.36 inference(unit_resolution,[status(thm)],[1384, 1056])).
% 7.80/5.36 tff(1386,plain,
% 7.80/5.36 ((~![VarCurr: $i] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB183) <=> (v111(constB183) | v116(constB183)))),
% 7.80/5.36 inference(quant_inst,[status(thm)],[])).
% 7.80/5.36 tff(1387,plain,
% 7.80/5.36 (v110(constB183) <=> (v111(constB183) | v116(constB183))),
% 7.80/5.36 inference(unit_resolution,[status(thm)],[1386, 1169])).
% 7.80/5.36 tff(1388,plain,
% 7.80/5.36 ((~![VarCurr: $i] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB183) <=> (v112(constB183) | v115(constB183)))),
% 7.80/5.36 inference(quant_inst,[status(thm)],[])).
% 7.80/5.36 tff(1389,plain,
% 7.80/5.36 (v111(constB183) <=> (v112(constB183) | v115(constB183))),
% 7.80/5.36 inference(unit_resolution,[status(thm)],[1388, 1279])).
% 7.80/5.36 tff(1390,plain,
% 7.80/5.36 (^[VarCurr: $i] : refl((v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr))) <=> (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr))))),
% 7.80/5.36 inference(bind,[status(th)],[])).
% 7.80/5.36 tff(1391,plain,
% 7.80/5.36 (![VarCurr: $i] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr))) <=> ![VarCurr: $i] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))),
% 7.80/5.36 inference(quant_intro,[status(thm)],[1390])).
% 7.80/5.36 tff(1392,plain,
% 7.80/5.36 (![VarCurr: $i] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr))) <=> ![VarCurr: $i] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))),
% 7.80/5.36 inference(rewrite,[status(thm)],[])).
% 7.80/5.36 tff(1393,axiom,(![VarCurr: $i] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_19')).
% 7.80/5.36 tff(1394,plain,
% 7.80/5.36 (![VarCurr: $i] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))),
% 7.80/5.36 inference(modus_ponens,[status(thm)],[1393, 1392])).
% 7.80/5.36 tff(1395,plain,(
% 7.80/5.36 ![VarCurr: $i] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))),
% 7.80/5.36 inference(skolemize,[status(sab)],[1394])).
% 7.80/5.36 tff(1396,plain,
% 7.80/5.36 (![VarCurr: $i] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))),
% 7.80/5.36 inference(modus_ponens,[status(thm)],[1395, 1391])).
% 7.80/5.36 tff(1397,plain,
% 7.80/5.36 ((~![VarCurr: $i] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))) | (v112(constB183) <=> (v113(constB183) | v114(constB183)))),
% 7.80/5.36 inference(quant_inst,[status(thm)],[])).
% 7.80/5.36 tff(1398,plain,
% 7.80/5.36 (v112(constB183) <=> (v113(constB183) | v114(constB183))),
% 7.80/5.36 inference(unit_resolution,[status(thm)],[1397, 1396])).
% 7.80/5.36 tff(1399,plain,
% 7.80/5.36 (^[VarCurr: $i] : refl((v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0))))) <=> (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0))))))),
% 7.80/5.36 inference(bind,[status(th)],[])).
% 7.80/5.36 tff(1400,plain,
% 7.80/5.36 (![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0))))) <=> ![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))),
% 7.80/5.36 inference(quant_intro,[status(thm)],[1399])).
% 7.80/5.36 tff(1401,plain,
% 7.80/5.36 (^[VarCurr: $i] : rewrite((v114(VarCurr) <=> ((~v84(VarCurr, bitIndex2)) & (~v84(VarCurr, bitIndex1)) & v84(VarCurr, bitIndex0))) <=> (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0))))))),
% 7.80/5.36 inference(bind,[status(th)],[])).
% 7.80/5.36 tff(1402,plain,
% 7.80/5.36 (![VarCurr: $i] : (v114(VarCurr) <=> ((~v84(VarCurr, bitIndex2)) & (~v84(VarCurr, bitIndex1)) & v84(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))),
% 7.80/5.36 inference(quant_intro,[status(thm)],[1401])).
% 7.80/5.36 tff(1403,plain,
% 7.80/5.36 (![VarCurr: $i] : (v114(VarCurr) <=> ((~v84(VarCurr, bitIndex2)) & (~v84(VarCurr, bitIndex1)) & v84(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : (v114(VarCurr) <=> ((~v84(VarCurr, bitIndex2)) & (~v84(VarCurr, bitIndex1)) & v84(VarCurr, bitIndex0)))),
% 7.80/5.36 inference(rewrite,[status(thm)],[])).
% 7.80/5.36 tff(1404,plain,
% 7.80/5.36 (^[VarCurr: $i] : rewrite((v114(VarCurr) <=> (((v84(VarCurr, bitIndex2) <=> $false) & (v84(VarCurr, bitIndex1) <=> $false)) & (v84(VarCurr, bitIndex0) <=> $true))) <=> (v114(VarCurr) <=> ((~v84(VarCurr, bitIndex2)) & (~v84(VarCurr, bitIndex1)) & v84(VarCurr, bitIndex0))))),
% 7.80/5.36 inference(bind,[status(th)],[])).
% 7.80/5.36 tff(1405,plain,
% 7.80/5.36 (![VarCurr: $i] : (v114(VarCurr) <=> (((v84(VarCurr, bitIndex2) <=> $false) & (v84(VarCurr, bitIndex1) <=> $false)) & (v84(VarCurr, bitIndex0) <=> $true))) <=> ![VarCurr: $i] : (v114(VarCurr) <=> ((~v84(VarCurr, bitIndex2)) & (~v84(VarCurr, bitIndex1)) & v84(VarCurr, bitIndex0)))),
% 7.80/5.36 inference(quant_intro,[status(thm)],[1404])).
% 7.80/5.36 tff(1406,axiom,(![VarCurr: $i] : (v114(VarCurr) <=> (((v84(VarCurr, bitIndex2) <=> $false) & (v84(VarCurr, bitIndex1) <=> $false)) & (v84(VarCurr, bitIndex0) <=> $true)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_3')).
% 7.80/5.36 tff(1407,plain,
% 7.80/5.36 (![VarCurr: $i] : (v114(VarCurr) <=> ((~v84(VarCurr, bitIndex2)) & (~v84(VarCurr, bitIndex1)) & v84(VarCurr, bitIndex0)))),
% 7.80/5.36 inference(modus_ponens,[status(thm)],[1406, 1405])).
% 7.80/5.36 tff(1408,plain,
% 7.80/5.36 (![VarCurr: $i] : (v114(VarCurr) <=> ((~v84(VarCurr, bitIndex2)) & (~v84(VarCurr, bitIndex1)) & v84(VarCurr, bitIndex0)))),
% 7.80/5.36 inference(modus_ponens,[status(thm)],[1407, 1403])).
% 7.80/5.36 tff(1409,plain,(
% 7.80/5.36 ![VarCurr: $i] : (v114(VarCurr) <=> ((~v84(VarCurr, bitIndex2)) & (~v84(VarCurr, bitIndex1)) & v84(VarCurr, bitIndex0)))),
% 7.80/5.36 inference(skolemize,[status(sab)],[1408])).
% 7.80/5.36 tff(1410,plain,
% 7.80/5.36 (![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))),
% 7.80/5.36 inference(modus_ponens,[status(thm)],[1409, 1402])).
% 7.80/5.36 tff(1411,plain,
% 7.80/5.36 (![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))),
% 7.80/5.36 inference(modus_ponens,[status(thm)],[1410, 1400])).
% 7.80/5.36 tff(1412,plain,
% 7.80/5.36 (((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB183) <=> (~(v84(constB183, bitIndex2) | v84(constB183, bitIndex1) | (~v84(constB183, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB183) <=> (~(v84(constB183, bitIndex2) | v84(constB183, bitIndex1) | (~v84(constB183, bitIndex0))))))),
% 7.80/5.36 inference(rewrite,[status(thm)],[])).
% 7.80/5.36 tff(1413,plain,
% 7.80/5.36 ((v114(constB183) <=> (~(v84(constB183, bitIndex1) | v84(constB183, bitIndex2) | (~v84(constB183, bitIndex0))))) <=> (v114(constB183) <=> (~(v84(constB183, bitIndex2) | v84(constB183, bitIndex1) | (~v84(constB183, bitIndex0)))))),
% 7.80/5.36 inference(rewrite,[status(thm)],[])).
% 7.80/5.36 tff(1414,plain,
% 7.80/5.36 (((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB183) <=> (~(v84(constB183, bitIndex1) | v84(constB183, bitIndex2) | (~v84(constB183, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB183) <=> (~(v84(constB183, bitIndex2) | v84(constB183, bitIndex1) | (~v84(constB183, bitIndex0))))))),
% 7.80/5.36 inference(monotonicity,[status(thm)],[1413])).
% 7.80/5.36 tff(1415,plain,
% 7.80/5.36 (((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB183) <=> (~(v84(constB183, bitIndex1) | v84(constB183, bitIndex2) | (~v84(constB183, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB183) <=> (~(v84(constB183, bitIndex2) | v84(constB183, bitIndex1) | (~v84(constB183, bitIndex0))))))),
% 7.80/5.36 inference(transitivity,[status(thm)],[1414, 1412])).
% 7.80/5.36 tff(1416,plain,
% 7.80/5.36 ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB183) <=> (~(v84(constB183, bitIndex1) | v84(constB183, bitIndex2) | (~v84(constB183, bitIndex0)))))),
% 7.80/5.36 inference(quant_inst,[status(thm)],[])).
% 7.80/5.36 tff(1417,plain,
% 7.80/5.36 ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB183) <=> (~(v84(constB183, bitIndex2) | v84(constB183, bitIndex1) | (~v84(constB183, bitIndex0)))))),
% 7.80/5.36 inference(modus_ponens,[status(thm)],[1416, 1415])).
% 7.80/5.36 tff(1418,plain,
% 7.80/5.36 (v114(constB183) <=> (~(v84(constB183, bitIndex2) | v84(constB183, bitIndex1) | (~v84(constB183, bitIndex0))))),
% 7.80/5.36 inference(unit_resolution,[status(thm)],[1417, 1411])).
% 7.80/5.36 tff(1419,plain,
% 7.80/5.36 (nextState(constB182, constB183) <=> nextState(constB182, constB183)),
% 7.80/5.36 inference(rewrite,[status(thm)],[])).
% 7.80/5.36 tff(1420,axiom,(nextState(constB182, constB183)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_182')).
% 7.80/5.36 tff(1421,plain,
% 7.80/5.36 (nextState(constB182, constB183)),
% 7.80/5.36 inference(modus_ponens,[status(thm)],[1420, 1419])).
% 7.80/5.36 tff(1422,plain,
% 7.80/5.36 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB182, constB183)) | (v94(constB183) <=> (~((~v104(constB183)) | (~v95(constB183))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB182, constB183)) | (v94(constB183) <=> (~((~v104(constB183)) | (~v95(constB183))))))),
% 7.80/5.36 inference(rewrite,[status(thm)],[])).
% 7.80/5.36 tff(1423,plain,
% 7.80/5.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB182, constB183)) | (v94(constB183) <=> (~((~v104(constB183)) | (~v95(constB183))))))),
% 7.80/5.36 inference(quant_inst,[status(thm)],[])).
% 7.80/5.36 tff(1424,plain,
% 7.80/5.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB182, constB183)) | (v94(constB183) <=> (~((~v104(constB183)) | (~v95(constB183)))))),
% 7.80/5.36 inference(modus_ponens,[status(thm)],[1423, 1422])).
% 7.80/5.36 tff(1425,plain,
% 7.80/5.36 (v94(constB183) <=> (~((~v104(constB183)) | (~v95(constB183))))),
% 7.80/5.36 inference(unit_resolution,[status(thm)],[1424, 1421, 775])).
% 7.80/5.36 tff(1426,plain,
% 7.80/5.36 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB182, constB183)) | (v95(constB183) <=> (~((~v1(constB183)) | (~v96(constB183))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB182, constB183)) | (v95(constB183) <=> (~((~v1(constB183)) | (~v96(constB183))))))),
% 7.80/5.36 inference(rewrite,[status(thm)],[])).
% 7.80/5.36 tff(1427,plain,
% 7.80/5.36 (((~nextState(constB182, constB183)) | (v95(constB183) <=> (~((~v96(constB183)) | (~v1(constB183)))))) <=> ((~nextState(constB182, constB183)) | (v95(constB183) <=> (~((~v1(constB183)) | (~v96(constB183))))))),
% 7.80/5.36 inference(rewrite,[status(thm)],[])).
% 7.80/5.36 tff(1428,plain,
% 7.80/5.36 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB182, constB183)) | (v95(constB183) <=> (~((~v96(constB183)) | (~v1(constB183))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB182, constB183)) | (v95(constB183) <=> (~((~v1(constB183)) | (~v96(constB183)))))))),
% 7.80/5.36 inference(monotonicity,[status(thm)],[1427])).
% 7.80/5.36 tff(1429,plain,
% 7.80/5.36 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB182, constB183)) | (v95(constB183) <=> (~((~v96(constB183)) | (~v1(constB183))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB182, constB183)) | (v95(constB183) <=> (~((~v1(constB183)) | (~v96(constB183))))))),
% 7.80/5.36 inference(transitivity,[status(thm)],[1428, 1426])).
% 7.80/5.36 tff(1430,plain,
% 7.80/5.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB182, constB183)) | (v95(constB183) <=> (~((~v96(constB183)) | (~v1(constB183))))))),
% 7.80/5.36 inference(quant_inst,[status(thm)],[])).
% 7.80/5.36 tff(1431,plain,
% 7.80/5.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB182, constB183)) | (v95(constB183) <=> (~((~v1(constB183)) | (~v96(constB183)))))),
% 7.80/5.36 inference(modus_ponens,[status(thm)],[1430, 1429])).
% 7.80/5.36 tff(1432,plain,
% 7.80/5.36 (v95(constB183) <=> (~((~v1(constB183)) | (~v96(constB183))))),
% 7.80/5.36 inference(unit_resolution,[status(thm)],[1431, 1421, 795])).
% 7.80/5.36 tff(1433,plain,
% 7.80/5.36 (((~v1(constB183)) | (~v96(constB183))) | v1(constB183)),
% 7.80/5.36 inference(tautology,[status(thm)],[])).
% 7.80/5.36 tff(1434,plain,
% 7.80/5.36 ((~v1(constB183)) | (~v96(constB183))),
% 7.80/5.36 inference(unit_resolution,[status(thm)],[1433, 1358])).
% 7.80/5.36 tff(1435,plain,
% 7.80/5.36 ((~(v95(constB183) <=> (~((~v1(constB183)) | (~v96(constB183)))))) | (~v95(constB183)) | (~((~v1(constB183)) | (~v96(constB183))))),
% 7.80/5.36 inference(tautology,[status(thm)],[])).
% 7.80/5.36 tff(1436,plain,
% 7.80/5.36 ((~(v95(constB183) <=> (~((~v1(constB183)) | (~v96(constB183)))))) | (~v95(constB183))),
% 7.80/5.36 inference(unit_resolution,[status(thm)],[1435, 1434])).
% 7.80/5.36 tff(1437,plain,
% 7.80/5.36 (~v95(constB183)),
% 7.80/5.36 inference(unit_resolution,[status(thm)],[1436, 1432])).
% 7.80/5.36 tff(1438,plain,
% 7.80/5.36 (((~v104(constB183)) | (~v95(constB183))) | v95(constB183)),
% 7.80/5.36 inference(tautology,[status(thm)],[])).
% 7.80/5.36 tff(1439,plain,
% 7.80/5.36 ((~v104(constB183)) | (~v95(constB183))),
% 7.80/5.36 inference(unit_resolution,[status(thm)],[1438, 1437])).
% 7.80/5.36 tff(1440,plain,
% 7.80/5.36 ((~(v94(constB183) <=> (~((~v104(constB183)) | (~v95(constB183)))))) | (~v94(constB183)) | (~((~v104(constB183)) | (~v95(constB183))))),
% 7.80/5.36 inference(tautology,[status(thm)],[])).
% 7.80/5.36 tff(1441,plain,
% 7.80/5.36 (~v94(constB183)),
% 7.80/5.36 inference(unit_resolution,[status(thm)],[1440, 1439, 1425])).
% 7.80/5.36 tff(1442,plain,
% 7.80/5.36 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB183) | (~nextState(constB182, constB183)) | ![B: $i] : ((~less_3(B)) | (v84(constB183, B) <=> v84(constB182, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB183) | (~nextState(constB182, constB183)) | ![B: $i] : ((~less_3(B)) | (v84(constB183, B) <=> v84(constB182, B))))),
% 7.80/5.36 inference(rewrite,[status(thm)],[])).
% 7.80/5.36 tff(1443,plain,
% 7.80/5.36 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB183) | (~nextState(constB182, constB183)) | ![B: $i] : ((~less_3(B)) | (v84(constB183, B) <=> v84(constB182, B))))),
% 7.80/5.36 inference(quant_inst,[status(thm)],[])).
% 7.80/5.36 tff(1444,plain,
% 7.80/5.36 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB183) | (~nextState(constB182, constB183)) | ![B: $i] : ((~less_3(B)) | (v84(constB183, B) <=> v84(constB182, B)))),
% 7.80/5.36 inference(modus_ponens,[status(thm)],[1443, 1442])).
% 7.80/5.36 tff(1445,plain,
% 7.80/5.36 (v94(constB183) | ![B: $i] : ((~less_3(B)) | (v84(constB183, B) <=> v84(constB182, B)))),
% 7.80/5.36 inference(unit_resolution,[status(thm)],[1444, 1421, 824])).
% 7.80/5.36 tff(1446,plain,
% 7.80/5.36 (![B: $i] : ((~less_3(B)) | (v84(constB183, B) <=> v84(constB182, B)))),
% 7.80/5.36 inference(unit_resolution,[status(thm)],[1445, 1441])).
% 7.80/5.36 tff(1447,plain,
% 7.80/5.36 (((~![B: $i] : ((~less_3(B)) | (v84(constB183, B) <=> v84(constB182, B)))) | ((~less_3(bitIndex2)) | (v84(constB183, bitIndex2) <=> v84(constB182, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB183, B) <=> v84(constB182, B)))) | (~less_3(bitIndex2)) | (v84(constB183, bitIndex2) <=> v84(constB182, bitIndex2)))),
% 7.80/5.36 inference(rewrite,[status(thm)],[])).
% 7.80/5.36 tff(1448,plain,
% 7.80/5.36 ((~![B: $i] : ((~less_3(B)) | (v84(constB183, B) <=> v84(constB182, B)))) | ((~less_3(bitIndex2)) | (v84(constB183, bitIndex2) <=> v84(constB182, bitIndex2)))),
% 7.80/5.36 inference(quant_inst,[status(thm)],[])).
% 7.80/5.36 tff(1449,plain,
% 7.80/5.36 ((~![B: $i] : ((~less_3(B)) | (v84(constB183, B) <=> v84(constB182, B)))) | (~less_3(bitIndex2)) | (v84(constB183, bitIndex2) <=> v84(constB182, bitIndex2))),
% 7.80/5.36 inference(modus_ponens,[status(thm)],[1448, 1447])).
% 7.80/5.36 tff(1450,plain,
% 7.80/5.36 (v84(constB183, bitIndex2) <=> v84(constB182, bitIndex2)),
% 7.80/5.36 inference(unit_resolution,[status(thm)],[1449, 832, 1446])).
% 7.80/5.36 tff(1451,plain,
% 7.80/5.36 (nextState(constB181, constB182) <=> nextState(constB181, constB182)),
% 7.80/5.36 inference(rewrite,[status(thm)],[])).
% 7.80/5.36 tff(1452,axiom,(nextState(constB181, constB182)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_181')).
% 7.80/5.36 tff(1453,plain,
% 7.80/5.36 (nextState(constB181, constB182)),
% 7.80/5.36 inference(modus_ponens,[status(thm)],[1452, 1451])).
% 7.80/5.36 tff(1454,plain,
% 7.80/5.36 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB181, constB182)) | (v94(constB182) <=> (~((~v104(constB182)) | (~v95(constB182))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB181, constB182)) | (v94(constB182) <=> (~((~v104(constB182)) | (~v95(constB182))))))),
% 7.80/5.36 inference(rewrite,[status(thm)],[])).
% 7.80/5.36 tff(1455,plain,
% 7.80/5.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB181, constB182)) | (v94(constB182) <=> (~((~v104(constB182)) | (~v95(constB182))))))),
% 7.80/5.36 inference(quant_inst,[status(thm)],[])).
% 7.80/5.36 tff(1456,plain,
% 7.80/5.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB181, constB182)) | (v94(constB182) <=> (~((~v104(constB182)) | (~v95(constB182)))))),
% 7.80/5.36 inference(modus_ponens,[status(thm)],[1455, 1454])).
% 7.80/5.36 tff(1457,plain,
% 7.80/5.36 (v94(constB182) <=> (~((~v104(constB182)) | (~v95(constB182))))),
% 7.80/5.36 inference(unit_resolution,[status(thm)],[1456, 1453, 775])).
% 7.80/5.36 tff(1458,plain,
% 7.80/5.36 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB181, constB182)) | (v95(constB182) <=> (~((~v1(constB182)) | (~v96(constB182))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB181, constB182)) | (v95(constB182) <=> (~((~v1(constB182)) | (~v96(constB182))))))),
% 7.80/5.36 inference(rewrite,[status(thm)],[])).
% 7.80/5.36 tff(1459,plain,
% 7.80/5.36 (((~nextState(constB181, constB182)) | (v95(constB182) <=> (~((~v96(constB182)) | (~v1(constB182)))))) <=> ((~nextState(constB181, constB182)) | (v95(constB182) <=> (~((~v1(constB182)) | (~v96(constB182))))))),
% 7.80/5.36 inference(rewrite,[status(thm)],[])).
% 7.80/5.36 tff(1460,plain,
% 7.80/5.36 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB181, constB182)) | (v95(constB182) <=> (~((~v96(constB182)) | (~v1(constB182))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB181, constB182)) | (v95(constB182) <=> (~((~v1(constB182)) | (~v96(constB182)))))))),
% 7.80/5.36 inference(monotonicity,[status(thm)],[1459])).
% 7.80/5.36 tff(1461,plain,
% 7.80/5.36 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB181, constB182)) | (v95(constB182) <=> (~((~v96(constB182)) | (~v1(constB182))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB181, constB182)) | (v95(constB182) <=> (~((~v1(constB182)) | (~v96(constB182))))))),
% 7.80/5.36 inference(transitivity,[status(thm)],[1460, 1458])).
% 7.80/5.36 tff(1462,plain,
% 7.80/5.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB181, constB182)) | (v95(constB182) <=> (~((~v96(constB182)) | (~v1(constB182))))))),
% 7.80/5.36 inference(quant_inst,[status(thm)],[])).
% 7.80/5.36 tff(1463,plain,
% 7.80/5.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB181, constB182)) | (v95(constB182) <=> (~((~v1(constB182)) | (~v96(constB182)))))),
% 7.80/5.36 inference(modus_ponens,[status(thm)],[1462, 1461])).
% 7.80/5.36 tff(1464,plain,
% 7.80/5.36 (v95(constB182) <=> (~((~v1(constB182)) | (~v96(constB182))))),
% 7.80/5.36 inference(unit_resolution,[status(thm)],[1463, 1453, 795])).
% 7.80/5.36 tff(1465,plain,
% 7.80/5.36 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB181, constB182)) | ((~v96(constB182)) <=> v98(constB182)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB181, constB182)) | ((~v96(constB182)) <=> v98(constB182)))),
% 7.80/5.36 inference(rewrite,[status(thm)],[])).
% 7.80/5.36 tff(1466,plain,
% 7.80/5.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB181, constB182)) | ((~v96(constB182)) <=> v98(constB182)))),
% 7.80/5.36 inference(quant_inst,[status(thm)],[])).
% 7.80/5.36 tff(1467,plain,
% 7.80/5.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB181, constB182)) | ((~v96(constB182)) <=> v98(constB182))),
% 7.80/5.36 inference(modus_ponens,[status(thm)],[1466, 1465])).
% 7.80/5.36 tff(1468,plain,
% 7.80/5.36 ((~v96(constB182)) <=> v98(constB182)),
% 7.80/5.36 inference(unit_resolution,[status(thm)],[1467, 1453, 860])).
% 7.80/5.36 tff(1469,plain,
% 7.80/5.36 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB181, constB182)) | (v98(constB182) <=> v1(constB181)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB181, constB182)) | (v98(constB182) <=> v1(constB181)))),
% 7.80/5.36 inference(rewrite,[status(thm)],[])).
% 7.80/5.36 tff(1470,plain,
% 7.80/5.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB181, constB182)) | (v98(constB182) <=> v1(constB181)))),
% 7.80/5.36 inference(quant_inst,[status(thm)],[])).
% 7.80/5.36 tff(1471,plain,
% 7.80/5.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB181, constB182)) | (v98(constB182) <=> v1(constB181))),
% 7.80/5.36 inference(modus_ponens,[status(thm)],[1470, 1469])).
% 7.80/5.36 tff(1472,plain,
% 7.80/5.36 (v98(constB182) <=> v1(constB181)),
% 7.80/5.36 inference(unit_resolution,[status(thm)],[1471, 1453, 874])).
% 7.80/5.36 tff(1473,plain,
% 7.80/5.36 ((~v1(constB181)) <=> (~v1(constB181))),
% 7.80/5.36 inference(rewrite,[status(thm)],[])).
% 7.80/5.36 tff(1474,axiom,(~v1(constB181)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_181')).
% 7.80/5.36 tff(1475,plain,
% 7.80/5.36 (~v1(constB181)),
% 7.80/5.36 inference(modus_ponens,[status(thm)],[1474, 1473])).
% 7.80/5.36 tff(1476,plain,
% 7.80/5.36 ((~(v98(constB182) <=> v1(constB181))) | (~v98(constB182)) | v1(constB181)),
% 7.80/5.36 inference(tautology,[status(thm)],[])).
% 7.80/5.36 tff(1477,plain,
% 7.80/5.36 ((~(v98(constB182) <=> v1(constB181))) | (~v98(constB182))),
% 7.80/5.36 inference(unit_resolution,[status(thm)],[1476, 1475])).
% 7.80/5.36 tff(1478,plain,
% 7.80/5.36 (~v98(constB182)),
% 7.80/5.36 inference(unit_resolution,[status(thm)],[1477, 1472])).
% 7.80/5.36 tff(1479,plain,
% 7.80/5.36 ((~((~v96(constB182)) <=> v98(constB182))) | v96(constB182) | v98(constB182)),
% 7.80/5.36 inference(tautology,[status(thm)],[])).
% 7.80/5.36 tff(1480,plain,
% 7.80/5.36 (v96(constB182)),
% 7.80/5.36 inference(unit_resolution,[status(thm)],[1479, 1478, 1468])).
% 7.80/5.36 tff(1481,plain,
% 7.80/5.36 (v1(constB182) <=> v1(constB182)),
% 7.80/5.36 inference(rewrite,[status(thm)],[])).
% 7.80/5.36 tff(1482,axiom,(v1(constB182)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_182')).
% 7.80/5.36 tff(1483,plain,
% 7.80/5.36 (v1(constB182)),
% 7.80/5.36 inference(modus_ponens,[status(thm)],[1482, 1481])).
% 7.80/5.36 tff(1484,plain,
% 7.80/5.36 ((~((~v1(constB182)) | (~v96(constB182)))) | (~v1(constB182)) | (~v96(constB182))),
% 7.80/5.36 inference(tautology,[status(thm)],[])).
% 7.80/5.36 tff(1485,plain,
% 7.80/5.36 ((~((~v1(constB182)) | (~v96(constB182)))) | (~v96(constB182))),
% 7.80/5.36 inference(unit_resolution,[status(thm)],[1484, 1483])).
% 7.80/5.36 tff(1486,plain,
% 7.80/5.36 (~((~v1(constB182)) | (~v96(constB182)))),
% 7.80/5.36 inference(unit_resolution,[status(thm)],[1485, 1480])).
% 7.80/5.36 tff(1487,plain,
% 7.80/5.36 ((~(v95(constB182) <=> (~((~v1(constB182)) | (~v96(constB182)))))) | v95(constB182) | ((~v1(constB182)) | (~v96(constB182)))),
% 7.80/5.36 inference(tautology,[status(thm)],[])).
% 7.80/5.36 tff(1488,plain,
% 7.80/5.36 (v95(constB182)),
% 7.80/5.36 inference(unit_resolution,[status(thm)],[1487, 1486, 1464])).
% 7.80/5.36 tff(1489,plain,
% 7.80/5.36 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB181, constB182)) | (v104(constB182) <=> v102(constB181)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB181, constB182)) | (v104(constB182) <=> v102(constB181)))),
% 7.80/5.36 inference(rewrite,[status(thm)],[])).
% 7.80/5.36 tff(1490,plain,
% 7.80/5.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB181, constB182)) | (v104(constB182) <=> v102(constB181)))),
% 7.80/5.36 inference(quant_inst,[status(thm)],[])).
% 7.80/5.36 tff(1491,plain,
% 7.80/5.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB181, constB182)) | (v104(constB182) <=> v102(constB181))),
% 7.80/5.36 inference(modus_ponens,[status(thm)],[1490, 1489])).
% 7.80/5.36 tff(1492,plain,
% 7.80/5.36 (v104(constB182) <=> v102(constB181)),
% 7.80/5.36 inference(unit_resolution,[status(thm)],[1491, 1453, 904])).
% 7.80/5.36 tff(1493,plain,
% 7.80/5.36 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB181) <=> (v105(constB181) | v106(constB181)))),
% 7.80/5.36 inference(quant_inst,[status(thm)],[])).
% 7.80/5.36 tff(1494,plain,
% 7.80/5.36 (v102(constB181) <=> (v105(constB181) | v106(constB181))),
% 7.80/5.36 inference(unit_resolution,[status(thm)],[1493, 915])).
% 7.80/5.36 tff(1495,plain,
% 7.80/5.36 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB181) <=> (~((~v107(constB181)) | (~v120(constB181)))))),
% 7.80/5.36 inference(quant_inst,[status(thm)],[])).
% 7.80/5.36 tff(1496,plain,
% 7.80/5.36 (v106(constB181) <=> (~((~v107(constB181)) | (~v120(constB181))))),
% 7.80/5.36 inference(unit_resolution,[status(thm)],[1495, 927])).
% 7.80/5.36 tff(1497,plain,
% 7.80/5.36 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB181) <=> (v108(constB181) | v119(constB181)))),
% 7.80/5.36 inference(quant_inst,[status(thm)],[])).
% 7.80/5.36 tff(1498,plain,
% 7.80/5.36 (v107(constB181) <=> (v108(constB181) | v119(constB181))),
% 7.80/5.36 inference(unit_resolution,[status(thm)],[1497, 936])).
% 7.80/5.36 tff(1499,plain,
% 7.80/5.36 (^[VarCurr: $i] : refl((v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2))))) <=> (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2))))))),
% 7.80/5.36 inference(bind,[status(th)],[])).
% 7.80/5.36 tff(1500,plain,
% 7.80/5.36 (![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2))))) <=> ![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))),
% 7.80/5.37 inference(quant_intro,[status(thm)],[1499])).
% 7.80/5.37 tff(1501,plain,
% 7.80/5.37 (^[VarCurr: $i] : rewrite((v119(VarCurr) <=> (v84(VarCurr, bitIndex2) & v84(VarCurr, bitIndex1) & (~v84(VarCurr, bitIndex0)))) <=> (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2))))))),
% 7.80/5.37 inference(bind,[status(th)],[])).
% 7.80/5.37 tff(1502,plain,
% 7.80/5.37 (![VarCurr: $i] : (v119(VarCurr) <=> (v84(VarCurr, bitIndex2) & v84(VarCurr, bitIndex1) & (~v84(VarCurr, bitIndex0)))) <=> ![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))),
% 7.80/5.37 inference(quant_intro,[status(thm)],[1501])).
% 7.80/5.37 tff(1503,plain,
% 7.80/5.37 (![VarCurr: $i] : (v119(VarCurr) <=> (v84(VarCurr, bitIndex2) & v84(VarCurr, bitIndex1) & (~v84(VarCurr, bitIndex0)))) <=> ![VarCurr: $i] : (v119(VarCurr) <=> (v84(VarCurr, bitIndex2) & v84(VarCurr, bitIndex1) & (~v84(VarCurr, bitIndex0))))),
% 7.80/5.37 inference(rewrite,[status(thm)],[])).
% 7.80/5.37 tff(1504,plain,
% 7.80/5.37 (^[VarCurr: $i] : rewrite((v119(VarCurr) <=> (((v84(VarCurr, bitIndex2) <=> $true) & (v84(VarCurr, bitIndex1) <=> $true)) & (v84(VarCurr, bitIndex0) <=> $false))) <=> (v119(VarCurr) <=> (v84(VarCurr, bitIndex2) & v84(VarCurr, bitIndex1) & (~v84(VarCurr, bitIndex0)))))),
% 7.80/5.37 inference(bind,[status(th)],[])).
% 7.80/5.37 tff(1505,plain,
% 7.80/5.37 (![VarCurr: $i] : (v119(VarCurr) <=> (((v84(VarCurr, bitIndex2) <=> $true) & (v84(VarCurr, bitIndex1) <=> $true)) & (v84(VarCurr, bitIndex0) <=> $false))) <=> ![VarCurr: $i] : (v119(VarCurr) <=> (v84(VarCurr, bitIndex2) & v84(VarCurr, bitIndex1) & (~v84(VarCurr, bitIndex0))))),
% 7.80/5.37 inference(quant_intro,[status(thm)],[1504])).
% 7.80/5.37 tff(1506,axiom,(![VarCurr: $i] : (v119(VarCurr) <=> (((v84(VarCurr, bitIndex2) <=> $true) & (v84(VarCurr, bitIndex1) <=> $true)) & (v84(VarCurr, bitIndex0) <=> $false)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_8')).
% 7.80/5.37 tff(1507,plain,
% 7.80/5.37 (![VarCurr: $i] : (v119(VarCurr) <=> (v84(VarCurr, bitIndex2) & v84(VarCurr, bitIndex1) & (~v84(VarCurr, bitIndex0))))),
% 7.80/5.37 inference(modus_ponens,[status(thm)],[1506, 1505])).
% 7.80/5.37 tff(1508,plain,
% 7.80/5.37 (![VarCurr: $i] : (v119(VarCurr) <=> (v84(VarCurr, bitIndex2) & v84(VarCurr, bitIndex1) & (~v84(VarCurr, bitIndex0))))),
% 7.80/5.37 inference(modus_ponens,[status(thm)],[1507, 1503])).
% 7.80/5.37 tff(1509,plain,(
% 7.80/5.37 ![VarCurr: $i] : (v119(VarCurr) <=> (v84(VarCurr, bitIndex2) & v84(VarCurr, bitIndex1) & (~v84(VarCurr, bitIndex0))))),
% 7.80/5.37 inference(skolemize,[status(sab)],[1508])).
% 7.80/5.37 tff(1510,plain,
% 7.80/5.37 (![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))),
% 7.80/5.37 inference(modus_ponens,[status(thm)],[1509, 1502])).
% 7.80/5.37 tff(1511,plain,
% 7.80/5.37 (![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))),
% 7.80/5.37 inference(modus_ponens,[status(thm)],[1510, 1500])).
% 7.80/5.37 tff(1512,plain,
% 7.80/5.37 (((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB181) <=> (~((~v84(constB181, bitIndex2)) | (~v84(constB181, bitIndex1)) | v84(constB181, bitIndex0))))) <=> ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB181) <=> (~((~v84(constB181, bitIndex2)) | (~v84(constB181, bitIndex1)) | v84(constB181, bitIndex0)))))),
% 7.80/5.37 inference(rewrite,[status(thm)],[])).
% 7.80/5.37 tff(1513,plain,
% 7.80/5.37 ((v119(constB181) <=> (~(v84(constB181, bitIndex0) | (~v84(constB181, bitIndex1)) | (~v84(constB181, bitIndex2))))) <=> (v119(constB181) <=> (~((~v84(constB181, bitIndex2)) | (~v84(constB181, bitIndex1)) | v84(constB181, bitIndex0))))),
% 7.80/5.37 inference(rewrite,[status(thm)],[])).
% 7.80/5.37 tff(1514,plain,
% 7.80/5.37 (((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB181) <=> (~(v84(constB181, bitIndex0) | (~v84(constB181, bitIndex1)) | (~v84(constB181, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB181) <=> (~((~v84(constB181, bitIndex2)) | (~v84(constB181, bitIndex1)) | v84(constB181, bitIndex0)))))),
% 7.80/5.37 inference(monotonicity,[status(thm)],[1513])).
% 7.80/5.37 tff(1515,plain,
% 7.80/5.37 (((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB181) <=> (~(v84(constB181, bitIndex0) | (~v84(constB181, bitIndex1)) | (~v84(constB181, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB181) <=> (~((~v84(constB181, bitIndex2)) | (~v84(constB181, bitIndex1)) | v84(constB181, bitIndex0)))))),
% 7.80/5.37 inference(transitivity,[status(thm)],[1514, 1512])).
% 7.80/5.37 tff(1516,plain,
% 7.80/5.37 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB181) <=> (~(v84(constB181, bitIndex0) | (~v84(constB181, bitIndex1)) | (~v84(constB181, bitIndex2)))))),
% 7.80/5.37 inference(quant_inst,[status(thm)],[])).
% 7.80/5.37 tff(1517,plain,
% 7.80/5.37 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB181) <=> (~((~v84(constB181, bitIndex2)) | (~v84(constB181, bitIndex1)) | v84(constB181, bitIndex0))))),
% 7.80/5.37 inference(modus_ponens,[status(thm)],[1516, 1515])).
% 7.80/5.37 tff(1518,plain,
% 7.80/5.37 (v119(constB181) <=> (~((~v84(constB181, bitIndex2)) | (~v84(constB181, bitIndex1)) | v84(constB181, bitIndex0)))),
% 7.80/5.37 inference(unit_resolution,[status(thm)],[1517, 1511])).
% 7.80/5.37 tff(1519,plain,
% 7.80/5.37 (nextState(constB180, constB181) <=> nextState(constB180, constB181)),
% 7.80/5.37 inference(rewrite,[status(thm)],[])).
% 7.80/5.37 tff(1520,axiom,(nextState(constB180, constB181)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_180')).
% 7.80/5.37 tff(1521,plain,
% 7.80/5.37 (nextState(constB180, constB181)),
% 7.80/5.37 inference(modus_ponens,[status(thm)],[1520, 1519])).
% 7.80/5.37 tff(1522,plain,
% 7.80/5.37 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB180, constB181)) | (v94(constB181) <=> (~((~v104(constB181)) | (~v95(constB181))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB180, constB181)) | (v94(constB181) <=> (~((~v104(constB181)) | (~v95(constB181))))))),
% 7.80/5.37 inference(rewrite,[status(thm)],[])).
% 7.80/5.37 tff(1523,plain,
% 7.80/5.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB180, constB181)) | (v94(constB181) <=> (~((~v104(constB181)) | (~v95(constB181))))))),
% 7.80/5.37 inference(quant_inst,[status(thm)],[])).
% 7.80/5.37 tff(1524,plain,
% 7.80/5.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB180, constB181)) | (v94(constB181) <=> (~((~v104(constB181)) | (~v95(constB181)))))),
% 7.80/5.37 inference(modus_ponens,[status(thm)],[1523, 1522])).
% 7.80/5.37 tff(1525,plain,
% 7.80/5.37 (v94(constB181) <=> (~((~v104(constB181)) | (~v95(constB181))))),
% 7.80/5.37 inference(unit_resolution,[status(thm)],[1524, 1521, 775])).
% 7.80/5.37 tff(1526,plain,
% 7.80/5.37 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB180, constB181)) | (v95(constB181) <=> (~((~v1(constB181)) | (~v96(constB181))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB180, constB181)) | (v95(constB181) <=> (~((~v1(constB181)) | (~v96(constB181))))))),
% 7.80/5.37 inference(rewrite,[status(thm)],[])).
% 7.80/5.37 tff(1527,plain,
% 7.80/5.37 (((~nextState(constB180, constB181)) | (v95(constB181) <=> (~((~v96(constB181)) | (~v1(constB181)))))) <=> ((~nextState(constB180, constB181)) | (v95(constB181) <=> (~((~v1(constB181)) | (~v96(constB181))))))),
% 7.80/5.37 inference(rewrite,[status(thm)],[])).
% 7.80/5.37 tff(1528,plain,
% 7.80/5.37 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB180, constB181)) | (v95(constB181) <=> (~((~v96(constB181)) | (~v1(constB181))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB180, constB181)) | (v95(constB181) <=> (~((~v1(constB181)) | (~v96(constB181)))))))),
% 7.80/5.37 inference(monotonicity,[status(thm)],[1527])).
% 7.80/5.37 tff(1529,plain,
% 7.80/5.37 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB180, constB181)) | (v95(constB181) <=> (~((~v96(constB181)) | (~v1(constB181))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB180, constB181)) | (v95(constB181) <=> (~((~v1(constB181)) | (~v96(constB181))))))),
% 7.80/5.37 inference(transitivity,[status(thm)],[1528, 1526])).
% 7.80/5.37 tff(1530,plain,
% 7.80/5.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB180, constB181)) | (v95(constB181) <=> (~((~v96(constB181)) | (~v1(constB181))))))),
% 7.80/5.37 inference(quant_inst,[status(thm)],[])).
% 7.80/5.37 tff(1531,plain,
% 7.80/5.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB180, constB181)) | (v95(constB181) <=> (~((~v1(constB181)) | (~v96(constB181)))))),
% 7.80/5.37 inference(modus_ponens,[status(thm)],[1530, 1529])).
% 7.80/5.37 tff(1532,plain,
% 7.80/5.37 (v95(constB181) <=> (~((~v1(constB181)) | (~v96(constB181))))),
% 7.80/5.37 inference(unit_resolution,[status(thm)],[1531, 1521, 795])).
% 7.80/5.37 tff(1533,plain,
% 7.80/5.37 (((~v1(constB181)) | (~v96(constB181))) | v1(constB181)),
% 7.80/5.37 inference(tautology,[status(thm)],[])).
% 7.80/5.37 tff(1534,plain,
% 7.80/5.37 ((~v1(constB181)) | (~v96(constB181))),
% 7.80/5.37 inference(unit_resolution,[status(thm)],[1533, 1475])).
% 7.80/5.37 tff(1535,plain,
% 7.80/5.37 ((~(v95(constB181) <=> (~((~v1(constB181)) | (~v96(constB181)))))) | (~v95(constB181)) | (~((~v1(constB181)) | (~v96(constB181))))),
% 7.80/5.37 inference(tautology,[status(thm)],[])).
% 7.80/5.37 tff(1536,plain,
% 7.80/5.37 ((~(v95(constB181) <=> (~((~v1(constB181)) | (~v96(constB181)))))) | (~v95(constB181))),
% 7.80/5.37 inference(unit_resolution,[status(thm)],[1535, 1534])).
% 7.80/5.37 tff(1537,plain,
% 7.80/5.37 (~v95(constB181)),
% 7.80/5.37 inference(unit_resolution,[status(thm)],[1536, 1532])).
% 7.80/5.37 tff(1538,plain,
% 7.80/5.37 (((~v104(constB181)) | (~v95(constB181))) | v95(constB181)),
% 7.80/5.37 inference(tautology,[status(thm)],[])).
% 7.80/5.37 tff(1539,plain,
% 7.80/5.37 ((~v104(constB181)) | (~v95(constB181))),
% 7.80/5.37 inference(unit_resolution,[status(thm)],[1538, 1537])).
% 7.80/5.37 tff(1540,plain,
% 7.80/5.37 ((~(v94(constB181) <=> (~((~v104(constB181)) | (~v95(constB181)))))) | (~v94(constB181)) | (~((~v104(constB181)) | (~v95(constB181))))),
% 7.80/5.37 inference(tautology,[status(thm)],[])).
% 7.80/5.37 tff(1541,plain,
% 7.80/5.37 (~v94(constB181)),
% 7.80/5.37 inference(unit_resolution,[status(thm)],[1540, 1539, 1525])).
% 7.80/5.37 tff(1542,plain,
% 7.80/5.37 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB181) | (~nextState(constB180, constB181)) | ![B: $i] : ((~less_3(B)) | (v84(constB181, B) <=> v84(constB180, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB181) | (~nextState(constB180, constB181)) | ![B: $i] : ((~less_3(B)) | (v84(constB181, B) <=> v84(constB180, B))))),
% 7.80/5.37 inference(rewrite,[status(thm)],[])).
% 7.80/5.37 tff(1543,plain,
% 7.80/5.37 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB181) | (~nextState(constB180, constB181)) | ![B: $i] : ((~less_3(B)) | (v84(constB181, B) <=> v84(constB180, B))))),
% 7.80/5.37 inference(quant_inst,[status(thm)],[])).
% 7.80/5.37 tff(1544,plain,
% 7.80/5.37 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB181) | (~nextState(constB180, constB181)) | ![B: $i] : ((~less_3(B)) | (v84(constB181, B) <=> v84(constB180, B)))),
% 7.80/5.37 inference(modus_ponens,[status(thm)],[1543, 1542])).
% 7.80/5.37 tff(1545,plain,
% 7.80/5.37 (v94(constB181) | ![B: $i] : ((~less_3(B)) | (v84(constB181, B) <=> v84(constB180, B)))),
% 7.80/5.37 inference(unit_resolution,[status(thm)],[1544, 1521, 824])).
% 7.80/5.37 tff(1546,plain,
% 7.80/5.37 (![B: $i] : ((~less_3(B)) | (v84(constB181, B) <=> v84(constB180, B)))),
% 7.80/5.37 inference(unit_resolution,[status(thm)],[1545, 1541])).
% 7.80/5.37 tff(1547,plain,
% 7.80/5.37 (((~![B: $i] : ((~less_3(B)) | (v84(constB181, B) <=> v84(constB180, B)))) | ((~less_3(bitIndex2)) | (v84(constB181, bitIndex2) <=> v84(constB180, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB181, B) <=> v84(constB180, B)))) | (~less_3(bitIndex2)) | (v84(constB181, bitIndex2) <=> v84(constB180, bitIndex2)))),
% 7.80/5.37 inference(rewrite,[status(thm)],[])).
% 7.80/5.37 tff(1548,plain,
% 7.80/5.37 ((~![B: $i] : ((~less_3(B)) | (v84(constB181, B) <=> v84(constB180, B)))) | ((~less_3(bitIndex2)) | (v84(constB181, bitIndex2) <=> v84(constB180, bitIndex2)))),
% 7.80/5.37 inference(quant_inst,[status(thm)],[])).
% 7.80/5.37 tff(1549,plain,
% 7.80/5.37 ((~![B: $i] : ((~less_3(B)) | (v84(constB181, B) <=> v84(constB180, B)))) | (~less_3(bitIndex2)) | (v84(constB181, bitIndex2) <=> v84(constB180, bitIndex2))),
% 7.80/5.37 inference(modus_ponens,[status(thm)],[1548, 1547])).
% 7.80/5.37 tff(1550,plain,
% 7.80/5.37 (v84(constB181, bitIndex2) <=> v84(constB180, bitIndex2)),
% 7.80/5.37 inference(unit_resolution,[status(thm)],[1549, 832, 1546])).
% 7.80/5.37 tff(1551,plain,
% 7.80/5.37 (nextState(constB179, constB180) <=> nextState(constB179, constB180)),
% 7.80/5.37 inference(rewrite,[status(thm)],[])).
% 7.80/5.37 tff(1552,axiom,(nextState(constB179, constB180)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_179')).
% 7.80/5.37 tff(1553,plain,
% 7.80/5.37 (nextState(constB179, constB180)),
% 7.80/5.37 inference(modus_ponens,[status(thm)],[1552, 1551])).
% 7.80/5.37 tff(1554,plain,
% 7.80/5.37 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB179, constB180)) | (v94(constB180) <=> (~((~v104(constB180)) | (~v95(constB180))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB179, constB180)) | (v94(constB180) <=> (~((~v104(constB180)) | (~v95(constB180))))))),
% 7.80/5.37 inference(rewrite,[status(thm)],[])).
% 7.80/5.37 tff(1555,plain,
% 7.80/5.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB179, constB180)) | (v94(constB180) <=> (~((~v104(constB180)) | (~v95(constB180))))))),
% 7.80/5.37 inference(quant_inst,[status(thm)],[])).
% 7.80/5.37 tff(1556,plain,
% 7.80/5.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB179, constB180)) | (v94(constB180) <=> (~((~v104(constB180)) | (~v95(constB180)))))),
% 7.80/5.37 inference(modus_ponens,[status(thm)],[1555, 1554])).
% 7.80/5.37 tff(1557,plain,
% 7.80/5.37 (v94(constB180) <=> (~((~v104(constB180)) | (~v95(constB180))))),
% 7.80/5.37 inference(unit_resolution,[status(thm)],[1556, 1553, 775])).
% 7.80/5.37 tff(1558,plain,
% 7.80/5.37 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB179, constB180)) | (v95(constB180) <=> (~((~v1(constB180)) | (~v96(constB180))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB179, constB180)) | (v95(constB180) <=> (~((~v1(constB180)) | (~v96(constB180))))))),
% 7.80/5.37 inference(rewrite,[status(thm)],[])).
% 7.80/5.37 tff(1559,plain,
% 7.80/5.37 (((~nextState(constB179, constB180)) | (v95(constB180) <=> (~((~v96(constB180)) | (~v1(constB180)))))) <=> ((~nextState(constB179, constB180)) | (v95(constB180) <=> (~((~v1(constB180)) | (~v96(constB180))))))),
% 7.80/5.37 inference(rewrite,[status(thm)],[])).
% 7.80/5.37 tff(1560,plain,
% 7.80/5.37 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB179, constB180)) | (v95(constB180) <=> (~((~v96(constB180)) | (~v1(constB180))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB179, constB180)) | (v95(constB180) <=> (~((~v1(constB180)) | (~v96(constB180)))))))),
% 7.80/5.37 inference(monotonicity,[status(thm)],[1559])).
% 7.80/5.37 tff(1561,plain,
% 7.80/5.37 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB179, constB180)) | (v95(constB180) <=> (~((~v96(constB180)) | (~v1(constB180))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB179, constB180)) | (v95(constB180) <=> (~((~v1(constB180)) | (~v96(constB180))))))),
% 7.80/5.37 inference(transitivity,[status(thm)],[1560, 1558])).
% 7.80/5.37 tff(1562,plain,
% 7.80/5.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB179, constB180)) | (v95(constB180) <=> (~((~v96(constB180)) | (~v1(constB180))))))),
% 7.80/5.37 inference(quant_inst,[status(thm)],[])).
% 7.80/5.37 tff(1563,plain,
% 7.80/5.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB179, constB180)) | (v95(constB180) <=> (~((~v1(constB180)) | (~v96(constB180)))))),
% 7.80/5.37 inference(modus_ponens,[status(thm)],[1562, 1561])).
% 7.80/5.37 tff(1564,plain,
% 7.80/5.37 (v95(constB180) <=> (~((~v1(constB180)) | (~v96(constB180))))),
% 7.80/5.37 inference(unit_resolution,[status(thm)],[1563, 1553, 795])).
% 7.80/5.37 tff(1565,plain,
% 7.80/5.37 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB179, constB180)) | ((~v96(constB180)) <=> v98(constB180)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB179, constB180)) | ((~v96(constB180)) <=> v98(constB180)))),
% 7.80/5.37 inference(rewrite,[status(thm)],[])).
% 7.80/5.37 tff(1566,plain,
% 7.80/5.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB179, constB180)) | ((~v96(constB180)) <=> v98(constB180)))),
% 7.80/5.37 inference(quant_inst,[status(thm)],[])).
% 7.80/5.37 tff(1567,plain,
% 7.80/5.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB179, constB180)) | ((~v96(constB180)) <=> v98(constB180))),
% 7.80/5.37 inference(modus_ponens,[status(thm)],[1566, 1565])).
% 7.80/5.37 tff(1568,plain,
% 7.80/5.37 ((~v96(constB180)) <=> v98(constB180)),
% 7.80/5.37 inference(unit_resolution,[status(thm)],[1567, 1553, 860])).
% 7.80/5.37 tff(1569,plain,
% 7.80/5.37 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB179, constB180)) | (v98(constB180) <=> v1(constB179)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB179, constB180)) | (v98(constB180) <=> v1(constB179)))),
% 7.80/5.37 inference(rewrite,[status(thm)],[])).
% 7.80/5.37 tff(1570,plain,
% 7.80/5.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB179, constB180)) | (v98(constB180) <=> v1(constB179)))),
% 7.80/5.37 inference(quant_inst,[status(thm)],[])).
% 7.80/5.37 tff(1571,plain,
% 7.80/5.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB179, constB180)) | (v98(constB180) <=> v1(constB179))),
% 7.80/5.37 inference(modus_ponens,[status(thm)],[1570, 1569])).
% 7.80/5.37 tff(1572,plain,
% 7.80/5.37 (v98(constB180) <=> v1(constB179)),
% 7.80/5.37 inference(unit_resolution,[status(thm)],[1571, 1553, 874])).
% 7.80/5.37 tff(1573,plain,
% 7.80/5.37 ((~v1(constB179)) <=> (~v1(constB179))),
% 7.80/5.37 inference(rewrite,[status(thm)],[])).
% 7.80/5.37 tff(1574,axiom,(~v1(constB179)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_179')).
% 7.80/5.37 tff(1575,plain,
% 7.80/5.37 (~v1(constB179)),
% 7.80/5.37 inference(modus_ponens,[status(thm)],[1574, 1573])).
% 7.80/5.37 tff(1576,plain,
% 7.80/5.37 ((~(v98(constB180) <=> v1(constB179))) | (~v98(constB180)) | v1(constB179)),
% 7.80/5.37 inference(tautology,[status(thm)],[])).
% 7.80/5.37 tff(1577,plain,
% 7.80/5.37 ((~(v98(constB180) <=> v1(constB179))) | (~v98(constB180))),
% 7.80/5.37 inference(unit_resolution,[status(thm)],[1576, 1575])).
% 7.80/5.37 tff(1578,plain,
% 7.80/5.37 (~v98(constB180)),
% 7.80/5.37 inference(unit_resolution,[status(thm)],[1577, 1572])).
% 7.80/5.37 tff(1579,plain,
% 7.80/5.37 ((~((~v96(constB180)) <=> v98(constB180))) | v96(constB180) | v98(constB180)),
% 7.80/5.37 inference(tautology,[status(thm)],[])).
% 7.80/5.37 tff(1580,plain,
% 7.80/5.37 (v96(constB180)),
% 7.80/5.37 inference(unit_resolution,[status(thm)],[1579, 1578, 1568])).
% 7.80/5.37 tff(1581,plain,
% 7.80/5.37 (v1(constB180) <=> v1(constB180)),
% 7.80/5.37 inference(rewrite,[status(thm)],[])).
% 7.80/5.37 tff(1582,axiom,(v1(constB180)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_180')).
% 7.80/5.37 tff(1583,plain,
% 7.80/5.37 (v1(constB180)),
% 7.80/5.37 inference(modus_ponens,[status(thm)],[1582, 1581])).
% 7.80/5.37 tff(1584,plain,
% 7.80/5.37 ((~((~v1(constB180)) | (~v96(constB180)))) | (~v1(constB180)) | (~v96(constB180))),
% 7.80/5.37 inference(tautology,[status(thm)],[])).
% 7.80/5.37 tff(1585,plain,
% 7.80/5.37 ((~((~v1(constB180)) | (~v96(constB180)))) | (~v96(constB180))),
% 7.80/5.37 inference(unit_resolution,[status(thm)],[1584, 1583])).
% 7.80/5.37 tff(1586,plain,
% 7.80/5.37 (~((~v1(constB180)) | (~v96(constB180)))),
% 7.80/5.37 inference(unit_resolution,[status(thm)],[1585, 1580])).
% 7.80/5.37 tff(1587,plain,
% 7.80/5.37 ((~(v95(constB180) <=> (~((~v1(constB180)) | (~v96(constB180)))))) | v95(constB180) | ((~v1(constB180)) | (~v96(constB180)))),
% 7.80/5.37 inference(tautology,[status(thm)],[])).
% 7.80/5.37 tff(1588,plain,
% 7.80/5.37 (v95(constB180)),
% 7.80/5.37 inference(unit_resolution,[status(thm)],[1587, 1586, 1564])).
% 7.80/5.37 tff(1589,plain,
% 7.80/5.37 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB179, constB180)) | (v104(constB180) <=> v102(constB179)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB179, constB180)) | (v104(constB180) <=> v102(constB179)))),
% 7.80/5.37 inference(rewrite,[status(thm)],[])).
% 7.80/5.37 tff(1590,plain,
% 7.80/5.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB179, constB180)) | (v104(constB180) <=> v102(constB179)))),
% 7.80/5.37 inference(quant_inst,[status(thm)],[])).
% 7.80/5.37 tff(1591,plain,
% 7.80/5.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB179, constB180)) | (v104(constB180) <=> v102(constB179))),
% 7.80/5.37 inference(modus_ponens,[status(thm)],[1590, 1589])).
% 7.80/5.37 tff(1592,plain,
% 7.80/5.37 (v104(constB180) <=> v102(constB179)),
% 7.80/5.37 inference(unit_resolution,[status(thm)],[1591, 1553, 904])).
% 7.80/5.37 tff(1593,plain,
% 7.80/5.37 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB179) <=> (v105(constB179) | v106(constB179)))),
% 7.80/5.37 inference(quant_inst,[status(thm)],[])).
% 7.80/5.37 tff(1594,plain,
% 7.80/5.37 (v102(constB179) <=> (v105(constB179) | v106(constB179))),
% 7.80/5.37 inference(unit_resolution,[status(thm)],[1593, 915])).
% 7.80/5.37 tff(1595,plain,
% 7.80/5.37 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB179) <=> (~((~v107(constB179)) | (~v120(constB179)))))),
% 7.80/5.37 inference(quant_inst,[status(thm)],[])).
% 7.80/5.37 tff(1596,plain,
% 7.80/5.37 (v106(constB179) <=> (~((~v107(constB179)) | (~v120(constB179))))),
% 7.80/5.37 inference(unit_resolution,[status(thm)],[1595, 927])).
% 7.80/5.37 tff(1597,plain,
% 7.80/5.37 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB179) <=> (v108(constB179) | v119(constB179)))),
% 7.80/5.37 inference(quant_inst,[status(thm)],[])).
% 7.80/5.37 tff(1598,plain,
% 7.80/5.37 (v107(constB179) <=> (v108(constB179) | v119(constB179))),
% 7.86/5.37 inference(unit_resolution,[status(thm)],[1597, 936])).
% 7.86/5.37 tff(1599,plain,
% 7.86/5.37 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB179) <=> (v109(constB179) | v118(constB179)))),
% 7.86/5.37 inference(quant_inst,[status(thm)],[])).
% 7.86/5.37 tff(1600,plain,
% 7.86/5.37 (v108(constB179) <=> (v109(constB179) | v118(constB179))),
% 7.86/5.37 inference(unit_resolution,[status(thm)],[1599, 945])).
% 7.86/5.37 tff(1601,plain,
% 7.86/5.37 (((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB179) <=> (~((~v84(constB179, bitIndex2)) | v84(constB179, bitIndex1) | (~v84(constB179, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB179) <=> (~((~v84(constB179, bitIndex2)) | v84(constB179, bitIndex1) | (~v84(constB179, bitIndex0))))))),
% 7.86/5.37 inference(rewrite,[status(thm)],[])).
% 7.86/5.37 tff(1602,plain,
% 7.86/5.37 ((v118(constB179) <=> (~(v84(constB179, bitIndex1) | (~v84(constB179, bitIndex0)) | (~v84(constB179, bitIndex2))))) <=> (v118(constB179) <=> (~((~v84(constB179, bitIndex2)) | v84(constB179, bitIndex1) | (~v84(constB179, bitIndex0)))))),
% 7.86/5.37 inference(rewrite,[status(thm)],[])).
% 7.86/5.37 tff(1603,plain,
% 7.86/5.37 (((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB179) <=> (~(v84(constB179, bitIndex1) | (~v84(constB179, bitIndex0)) | (~v84(constB179, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB179) <=> (~((~v84(constB179, bitIndex2)) | v84(constB179, bitIndex1) | (~v84(constB179, bitIndex0))))))),
% 7.86/5.37 inference(monotonicity,[status(thm)],[1602])).
% 7.86/5.37 tff(1604,plain,
% 7.86/5.37 (((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB179) <=> (~(v84(constB179, bitIndex1) | (~v84(constB179, bitIndex0)) | (~v84(constB179, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB179) <=> (~((~v84(constB179, bitIndex2)) | v84(constB179, bitIndex1) | (~v84(constB179, bitIndex0))))))),
% 7.86/5.37 inference(transitivity,[status(thm)],[1603, 1601])).
% 7.86/5.37 tff(1605,plain,
% 7.86/5.37 ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB179) <=> (~(v84(constB179, bitIndex1) | (~v84(constB179, bitIndex0)) | (~v84(constB179, bitIndex2)))))),
% 7.86/5.37 inference(quant_inst,[status(thm)],[])).
% 7.86/5.37 tff(1606,plain,
% 7.86/5.37 ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB179) <=> (~((~v84(constB179, bitIndex2)) | v84(constB179, bitIndex1) | (~v84(constB179, bitIndex0)))))),
% 7.86/5.37 inference(modus_ponens,[status(thm)],[1605, 1604])).
% 7.86/5.37 tff(1607,plain,
% 7.86/5.37 (v118(constB179) <=> (~((~v84(constB179, bitIndex2)) | v84(constB179, bitIndex1) | (~v84(constB179, bitIndex0))))),
% 7.86/5.37 inference(unit_resolution,[status(thm)],[1606, 960])).
% 7.86/5.37 tff(1608,plain,
% 7.86/5.37 (nextState(constB178, constB179) <=> nextState(constB178, constB179)),
% 7.86/5.37 inference(rewrite,[status(thm)],[])).
% 7.86/5.37 tff(1609,axiom,(nextState(constB178, constB179)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_178')).
% 7.86/5.37 tff(1610,plain,
% 7.86/5.37 (nextState(constB178, constB179)),
% 7.86/5.37 inference(modus_ponens,[status(thm)],[1609, 1608])).
% 7.86/5.37 tff(1611,plain,
% 7.86/5.37 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB178, constB179)) | (v94(constB179) <=> (~((~v104(constB179)) | (~v95(constB179))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB178, constB179)) | (v94(constB179) <=> (~((~v104(constB179)) | (~v95(constB179))))))),
% 7.86/5.37 inference(rewrite,[status(thm)],[])).
% 7.86/5.37 tff(1612,plain,
% 7.86/5.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB178, constB179)) | (v94(constB179) <=> (~((~v104(constB179)) | (~v95(constB179))))))),
% 7.86/5.37 inference(quant_inst,[status(thm)],[])).
% 7.86/5.37 tff(1613,plain,
% 7.86/5.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB178, constB179)) | (v94(constB179) <=> (~((~v104(constB179)) | (~v95(constB179)))))),
% 7.86/5.37 inference(modus_ponens,[status(thm)],[1612, 1611])).
% 7.86/5.37 tff(1614,plain,
% 7.86/5.37 (v94(constB179) <=> (~((~v104(constB179)) | (~v95(constB179))))),
% 7.86/5.37 inference(unit_resolution,[status(thm)],[1613, 1610, 775])).
% 7.86/5.37 tff(1615,plain,
% 7.86/5.37 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB178, constB179)) | (v95(constB179) <=> (~((~v1(constB179)) | (~v96(constB179))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB178, constB179)) | (v95(constB179) <=> (~((~v1(constB179)) | (~v96(constB179))))))),
% 7.86/5.37 inference(rewrite,[status(thm)],[])).
% 7.86/5.37 tff(1616,plain,
% 7.86/5.37 (((~nextState(constB178, constB179)) | (v95(constB179) <=> (~((~v96(constB179)) | (~v1(constB179)))))) <=> ((~nextState(constB178, constB179)) | (v95(constB179) <=> (~((~v1(constB179)) | (~v96(constB179))))))),
% 7.86/5.37 inference(rewrite,[status(thm)],[])).
% 7.86/5.37 tff(1617,plain,
% 7.86/5.37 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB178, constB179)) | (v95(constB179) <=> (~((~v96(constB179)) | (~v1(constB179))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB178, constB179)) | (v95(constB179) <=> (~((~v1(constB179)) | (~v96(constB179)))))))),
% 7.86/5.37 inference(monotonicity,[status(thm)],[1616])).
% 7.86/5.37 tff(1618,plain,
% 7.86/5.37 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB178, constB179)) | (v95(constB179) <=> (~((~v96(constB179)) | (~v1(constB179))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB178, constB179)) | (v95(constB179) <=> (~((~v1(constB179)) | (~v96(constB179))))))),
% 7.86/5.37 inference(transitivity,[status(thm)],[1617, 1615])).
% 7.86/5.37 tff(1619,plain,
% 7.86/5.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB178, constB179)) | (v95(constB179) <=> (~((~v96(constB179)) | (~v1(constB179))))))),
% 7.86/5.37 inference(quant_inst,[status(thm)],[])).
% 7.86/5.37 tff(1620,plain,
% 7.86/5.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB178, constB179)) | (v95(constB179) <=> (~((~v1(constB179)) | (~v96(constB179)))))),
% 7.86/5.37 inference(modus_ponens,[status(thm)],[1619, 1618])).
% 7.86/5.37 tff(1621,plain,
% 7.86/5.37 (v95(constB179) <=> (~((~v1(constB179)) | (~v96(constB179))))),
% 7.86/5.37 inference(unit_resolution,[status(thm)],[1620, 1610, 795])).
% 7.86/5.37 tff(1622,plain,
% 7.86/5.37 (((~v1(constB179)) | (~v96(constB179))) | v1(constB179)),
% 7.86/5.37 inference(tautology,[status(thm)],[])).
% 7.86/5.37 tff(1623,plain,
% 7.86/5.37 ((~v1(constB179)) | (~v96(constB179))),
% 7.86/5.37 inference(unit_resolution,[status(thm)],[1622, 1575])).
% 7.86/5.37 tff(1624,plain,
% 7.86/5.37 ((~(v95(constB179) <=> (~((~v1(constB179)) | (~v96(constB179)))))) | (~v95(constB179)) | (~((~v1(constB179)) | (~v96(constB179))))),
% 7.86/5.37 inference(tautology,[status(thm)],[])).
% 7.86/5.37 tff(1625,plain,
% 7.86/5.37 ((~(v95(constB179) <=> (~((~v1(constB179)) | (~v96(constB179)))))) | (~v95(constB179))),
% 7.86/5.37 inference(unit_resolution,[status(thm)],[1624, 1623])).
% 7.86/5.37 tff(1626,plain,
% 7.86/5.37 (~v95(constB179)),
% 7.86/5.37 inference(unit_resolution,[status(thm)],[1625, 1621])).
% 7.86/5.37 tff(1627,plain,
% 7.86/5.37 (((~v104(constB179)) | (~v95(constB179))) | v95(constB179)),
% 7.86/5.37 inference(tautology,[status(thm)],[])).
% 7.86/5.37 tff(1628,plain,
% 7.86/5.37 ((~v104(constB179)) | (~v95(constB179))),
% 7.86/5.37 inference(unit_resolution,[status(thm)],[1627, 1626])).
% 7.86/5.37 tff(1629,plain,
% 7.86/5.37 ((~(v94(constB179) <=> (~((~v104(constB179)) | (~v95(constB179)))))) | (~v94(constB179)) | (~((~v104(constB179)) | (~v95(constB179))))),
% 7.86/5.37 inference(tautology,[status(thm)],[])).
% 7.86/5.37 tff(1630,plain,
% 7.86/5.37 (~v94(constB179)),
% 7.86/5.37 inference(unit_resolution,[status(thm)],[1629, 1628, 1614])).
% 7.86/5.37 tff(1631,plain,
% 7.86/5.37 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB179) | (~nextState(constB178, constB179)) | ![B: $i] : ((~less_3(B)) | (v84(constB179, B) <=> v84(constB178, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB179) | (~nextState(constB178, constB179)) | ![B: $i] : ((~less_3(B)) | (v84(constB179, B) <=> v84(constB178, B))))),
% 7.86/5.37 inference(rewrite,[status(thm)],[])).
% 7.86/5.37 tff(1632,plain,
% 7.86/5.37 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB179) | (~nextState(constB178, constB179)) | ![B: $i] : ((~less_3(B)) | (v84(constB179, B) <=> v84(constB178, B))))),
% 7.86/5.37 inference(quant_inst,[status(thm)],[])).
% 7.86/5.37 tff(1633,plain,
% 7.86/5.37 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB179) | (~nextState(constB178, constB179)) | ![B: $i] : ((~less_3(B)) | (v84(constB179, B) <=> v84(constB178, B)))),
% 7.86/5.37 inference(modus_ponens,[status(thm)],[1632, 1631])).
% 7.86/5.37 tff(1634,plain,
% 7.86/5.37 (v94(constB179) | ![B: $i] : ((~less_3(B)) | (v84(constB179, B) <=> v84(constB178, B)))),
% 7.86/5.37 inference(unit_resolution,[status(thm)],[1633, 1610, 824])).
% 7.86/5.37 tff(1635,plain,
% 7.86/5.37 (![B: $i] : ((~less_3(B)) | (v84(constB179, B) <=> v84(constB178, B)))),
% 7.86/5.37 inference(unit_resolution,[status(thm)],[1634, 1630])).
% 7.86/5.37 tff(1636,plain,
% 7.86/5.37 (((~![B: $i] : ((~less_3(B)) | (v84(constB179, B) <=> v84(constB178, B)))) | ((~less_3(bitIndex2)) | (v84(constB179, bitIndex2) <=> v84(constB178, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB179, B) <=> v84(constB178, B)))) | (~less_3(bitIndex2)) | (v84(constB179, bitIndex2) <=> v84(constB178, bitIndex2)))),
% 7.86/5.37 inference(rewrite,[status(thm)],[])).
% 7.86/5.37 tff(1637,plain,
% 7.86/5.37 ((~![B: $i] : ((~less_3(B)) | (v84(constB179, B) <=> v84(constB178, B)))) | ((~less_3(bitIndex2)) | (v84(constB179, bitIndex2) <=> v84(constB178, bitIndex2)))),
% 7.86/5.37 inference(quant_inst,[status(thm)],[])).
% 7.86/5.37 tff(1638,plain,
% 7.86/5.37 ((~![B: $i] : ((~less_3(B)) | (v84(constB179, B) <=> v84(constB178, B)))) | (~less_3(bitIndex2)) | (v84(constB179, bitIndex2) <=> v84(constB178, bitIndex2))),
% 7.86/5.37 inference(modus_ponens,[status(thm)],[1637, 1636])).
% 7.86/5.37 tff(1639,plain,
% 7.86/5.37 (v84(constB179, bitIndex2) <=> v84(constB178, bitIndex2)),
% 7.86/5.37 inference(unit_resolution,[status(thm)],[1638, 832, 1635])).
% 7.86/5.37 tff(1640,plain,
% 7.86/5.37 (nextState(constB177, constB178) <=> nextState(constB177, constB178)),
% 7.86/5.37 inference(rewrite,[status(thm)],[])).
% 7.86/5.37 tff(1641,axiom,(nextState(constB177, constB178)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_177')).
% 7.86/5.37 tff(1642,plain,
% 7.86/5.37 (nextState(constB177, constB178)),
% 7.86/5.37 inference(modus_ponens,[status(thm)],[1641, 1640])).
% 7.86/5.37 tff(1643,plain,
% 7.86/5.37 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB177, constB178)) | (v94(constB178) <=> (~((~v104(constB178)) | (~v95(constB178))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB177, constB178)) | (v94(constB178) <=> (~((~v104(constB178)) | (~v95(constB178))))))),
% 7.86/5.38 inference(rewrite,[status(thm)],[])).
% 7.86/5.38 tff(1644,plain,
% 7.86/5.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB177, constB178)) | (v94(constB178) <=> (~((~v104(constB178)) | (~v95(constB178))))))),
% 7.86/5.38 inference(quant_inst,[status(thm)],[])).
% 7.86/5.38 tff(1645,plain,
% 7.86/5.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB177, constB178)) | (v94(constB178) <=> (~((~v104(constB178)) | (~v95(constB178)))))),
% 7.86/5.38 inference(modus_ponens,[status(thm)],[1644, 1643])).
% 7.86/5.38 tff(1646,plain,
% 7.86/5.38 (v94(constB178) <=> (~((~v104(constB178)) | (~v95(constB178))))),
% 7.86/5.38 inference(unit_resolution,[status(thm)],[1645, 1642, 775])).
% 7.86/5.38 tff(1647,plain,
% 7.86/5.38 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB177, constB178)) | (v95(constB178) <=> (~((~v1(constB178)) | (~v96(constB178))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB177, constB178)) | (v95(constB178) <=> (~((~v1(constB178)) | (~v96(constB178))))))),
% 7.86/5.38 inference(rewrite,[status(thm)],[])).
% 7.86/5.38 tff(1648,plain,
% 7.86/5.38 (((~nextState(constB177, constB178)) | (v95(constB178) <=> (~((~v96(constB178)) | (~v1(constB178)))))) <=> ((~nextState(constB177, constB178)) | (v95(constB178) <=> (~((~v1(constB178)) | (~v96(constB178))))))),
% 7.86/5.38 inference(rewrite,[status(thm)],[])).
% 7.86/5.38 tff(1649,plain,
% 7.86/5.38 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB177, constB178)) | (v95(constB178) <=> (~((~v96(constB178)) | (~v1(constB178))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB177, constB178)) | (v95(constB178) <=> (~((~v1(constB178)) | (~v96(constB178)))))))),
% 7.86/5.38 inference(monotonicity,[status(thm)],[1648])).
% 7.86/5.38 tff(1650,plain,
% 7.86/5.38 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB177, constB178)) | (v95(constB178) <=> (~((~v96(constB178)) | (~v1(constB178))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB177, constB178)) | (v95(constB178) <=> (~((~v1(constB178)) | (~v96(constB178))))))),
% 7.86/5.38 inference(transitivity,[status(thm)],[1649, 1647])).
% 7.86/5.38 tff(1651,plain,
% 7.86/5.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB177, constB178)) | (v95(constB178) <=> (~((~v96(constB178)) | (~v1(constB178))))))),
% 7.86/5.38 inference(quant_inst,[status(thm)],[])).
% 7.86/5.38 tff(1652,plain,
% 7.86/5.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB177, constB178)) | (v95(constB178) <=> (~((~v1(constB178)) | (~v96(constB178)))))),
% 7.86/5.38 inference(modus_ponens,[status(thm)],[1651, 1650])).
% 7.86/5.38 tff(1653,plain,
% 7.86/5.38 (v95(constB178) <=> (~((~v1(constB178)) | (~v96(constB178))))),
% 7.86/5.38 inference(unit_resolution,[status(thm)],[1652, 1642, 795])).
% 7.86/5.38 tff(1654,plain,
% 7.86/5.38 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB177, constB178)) | ((~v96(constB178)) <=> v98(constB178)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB177, constB178)) | ((~v96(constB178)) <=> v98(constB178)))),
% 7.86/5.38 inference(rewrite,[status(thm)],[])).
% 7.86/5.38 tff(1655,plain,
% 7.86/5.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB177, constB178)) | ((~v96(constB178)) <=> v98(constB178)))),
% 7.86/5.38 inference(quant_inst,[status(thm)],[])).
% 7.86/5.38 tff(1656,plain,
% 7.86/5.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB177, constB178)) | ((~v96(constB178)) <=> v98(constB178))),
% 7.86/5.38 inference(modus_ponens,[status(thm)],[1655, 1654])).
% 7.86/5.38 tff(1657,plain,
% 7.86/5.38 ((~v96(constB178)) <=> v98(constB178)),
% 7.86/5.38 inference(unit_resolution,[status(thm)],[1656, 1642, 860])).
% 7.86/5.38 tff(1658,plain,
% 7.86/5.38 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB177, constB178)) | (v98(constB178) <=> v1(constB177)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB177, constB178)) | (v98(constB178) <=> v1(constB177)))),
% 7.86/5.38 inference(rewrite,[status(thm)],[])).
% 7.86/5.38 tff(1659,plain,
% 7.86/5.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB177, constB178)) | (v98(constB178) <=> v1(constB177)))),
% 7.86/5.38 inference(quant_inst,[status(thm)],[])).
% 7.86/5.38 tff(1660,plain,
% 7.86/5.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB177, constB178)) | (v98(constB178) <=> v1(constB177))),
% 7.86/5.38 inference(modus_ponens,[status(thm)],[1659, 1658])).
% 7.86/5.38 tff(1661,plain,
% 7.86/5.38 (v98(constB178) <=> v1(constB177)),
% 7.86/5.38 inference(unit_resolution,[status(thm)],[1660, 1642, 874])).
% 7.86/5.38 tff(1662,plain,
% 7.86/5.38 ((~v1(constB177)) <=> (~v1(constB177))),
% 7.86/5.38 inference(rewrite,[status(thm)],[])).
% 7.86/5.38 tff(1663,axiom,(~v1(constB177)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_177')).
% 7.86/5.38 tff(1664,plain,
% 7.86/5.38 (~v1(constB177)),
% 7.86/5.38 inference(modus_ponens,[status(thm)],[1663, 1662])).
% 7.86/5.38 tff(1665,plain,
% 7.86/5.38 ((~(v98(constB178) <=> v1(constB177))) | (~v98(constB178)) | v1(constB177)),
% 7.86/5.38 inference(tautology,[status(thm)],[])).
% 7.86/5.38 tff(1666,plain,
% 7.86/5.38 ((~(v98(constB178) <=> v1(constB177))) | (~v98(constB178))),
% 7.86/5.38 inference(unit_resolution,[status(thm)],[1665, 1664])).
% 7.86/5.38 tff(1667,plain,
% 7.86/5.38 (~v98(constB178)),
% 7.86/5.38 inference(unit_resolution,[status(thm)],[1666, 1661])).
% 7.86/5.38 tff(1668,plain,
% 7.86/5.38 ((~((~v96(constB178)) <=> v98(constB178))) | v96(constB178) | v98(constB178)),
% 7.86/5.38 inference(tautology,[status(thm)],[])).
% 7.86/5.38 tff(1669,plain,
% 7.86/5.38 (v96(constB178)),
% 7.86/5.38 inference(unit_resolution,[status(thm)],[1668, 1667, 1657])).
% 7.86/5.38 tff(1670,plain,
% 7.86/5.38 (v1(constB178) <=> v1(constB178)),
% 7.86/5.38 inference(rewrite,[status(thm)],[])).
% 7.86/5.38 tff(1671,axiom,(v1(constB178)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_178')).
% 7.86/5.38 tff(1672,plain,
% 7.86/5.38 (v1(constB178)),
% 7.86/5.38 inference(modus_ponens,[status(thm)],[1671, 1670])).
% 7.86/5.38 tff(1673,plain,
% 7.86/5.38 ((~((~v1(constB178)) | (~v96(constB178)))) | (~v1(constB178)) | (~v96(constB178))),
% 7.86/5.38 inference(tautology,[status(thm)],[])).
% 7.86/5.38 tff(1674,plain,
% 7.86/5.38 ((~((~v1(constB178)) | (~v96(constB178)))) | (~v96(constB178))),
% 7.86/5.38 inference(unit_resolution,[status(thm)],[1673, 1672])).
% 7.86/5.38 tff(1675,plain,
% 7.86/5.38 (~((~v1(constB178)) | (~v96(constB178)))),
% 7.86/5.38 inference(unit_resolution,[status(thm)],[1674, 1669])).
% 7.86/5.38 tff(1676,plain,
% 7.86/5.38 ((~(v95(constB178) <=> (~((~v1(constB178)) | (~v96(constB178)))))) | v95(constB178) | ((~v1(constB178)) | (~v96(constB178)))),
% 7.86/5.38 inference(tautology,[status(thm)],[])).
% 7.86/5.38 tff(1677,plain,
% 7.86/5.38 (v95(constB178)),
% 7.86/5.38 inference(unit_resolution,[status(thm)],[1676, 1675, 1653])).
% 7.86/5.38 tff(1678,plain,
% 7.86/5.38 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB177, constB178)) | (v104(constB178) <=> v102(constB177)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB177, constB178)) | (v104(constB178) <=> v102(constB177)))),
% 7.86/5.38 inference(rewrite,[status(thm)],[])).
% 7.86/5.38 tff(1679,plain,
% 7.86/5.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB177, constB178)) | (v104(constB178) <=> v102(constB177)))),
% 7.86/5.38 inference(quant_inst,[status(thm)],[])).
% 7.86/5.38 tff(1680,plain,
% 7.86/5.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB177, constB178)) | (v104(constB178) <=> v102(constB177))),
% 7.86/5.38 inference(modus_ponens,[status(thm)],[1679, 1678])).
% 7.86/5.38 tff(1681,plain,
% 7.86/5.38 (v104(constB178) <=> v102(constB177)),
% 7.86/5.38 inference(unit_resolution,[status(thm)],[1680, 1642, 904])).
% 7.86/5.38 tff(1682,plain,
% 7.86/5.38 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB177) <=> (v105(constB177) | v106(constB177)))),
% 7.86/5.38 inference(quant_inst,[status(thm)],[])).
% 7.86/5.38 tff(1683,plain,
% 7.86/5.38 (v102(constB177) <=> (v105(constB177) | v106(constB177))),
% 7.86/5.38 inference(unit_resolution,[status(thm)],[1682, 915])).
% 7.86/5.38 tff(1684,plain,
% 7.86/5.38 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB177) <=> (~((~v107(constB177)) | (~v120(constB177)))))),
% 7.86/5.38 inference(quant_inst,[status(thm)],[])).
% 7.86/5.38 tff(1685,plain,
% 7.86/5.38 (v106(constB177) <=> (~((~v107(constB177)) | (~v120(constB177))))),
% 7.86/5.38 inference(unit_resolution,[status(thm)],[1684, 927])).
% 7.86/5.38 tff(1686,plain,
% 7.86/5.38 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB177) <=> (v108(constB177) | v119(constB177)))),
% 7.86/5.38 inference(quant_inst,[status(thm)],[])).
% 7.86/5.38 tff(1687,plain,
% 7.86/5.38 (v107(constB177) <=> (v108(constB177) | v119(constB177))),
% 7.86/5.38 inference(unit_resolution,[status(thm)],[1686, 936])).
% 7.86/5.38 tff(1688,plain,
% 7.86/5.38 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB177) <=> (v109(constB177) | v118(constB177)))),
% 7.86/5.38 inference(quant_inst,[status(thm)],[])).
% 7.86/5.38 tff(1689,plain,
% 7.86/5.38 (v108(constB177) <=> (v109(constB177) | v118(constB177))),
% 7.86/5.38 inference(unit_resolution,[status(thm)],[1688, 945])).
% 7.86/5.38 tff(1690,plain,
% 7.86/5.38 ((~![VarCurr: $i] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB177) <=> (v110(constB177) | v117(constB177)))),
% 7.86/5.38 inference(quant_inst,[status(thm)],[])).
% 7.86/5.38 tff(1691,plain,
% 7.86/5.38 (v109(constB177) <=> (v110(constB177) | v117(constB177))),
% 7.86/5.38 inference(unit_resolution,[status(thm)],[1690, 1056])).
% 7.86/5.38 tff(1692,plain,
% 7.86/5.38 (((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB177) <=> (~((~v84(constB177, bitIndex2)) | v84(constB177, bitIndex1) | v84(constB177, bitIndex0))))) <=> ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB177) <=> (~((~v84(constB177, bitIndex2)) | v84(constB177, bitIndex1) | v84(constB177, bitIndex0)))))),
% 7.86/5.38 inference(rewrite,[status(thm)],[])).
% 7.86/5.38 tff(1693,plain,
% 7.86/5.38 ((v117(constB177) <=> (~(v84(constB177, bitIndex0) | v84(constB177, bitIndex1) | (~v84(constB177, bitIndex2))))) <=> (v117(constB177) <=> (~((~v84(constB177, bitIndex2)) | v84(constB177, bitIndex1) | v84(constB177, bitIndex0))))),
% 7.86/5.38 inference(rewrite,[status(thm)],[])).
% 7.86/5.38 tff(1694,plain,
% 7.86/5.38 (((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB177) <=> (~(v84(constB177, bitIndex0) | v84(constB177, bitIndex1) | (~v84(constB177, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB177) <=> (~((~v84(constB177, bitIndex2)) | v84(constB177, bitIndex1) | v84(constB177, bitIndex0)))))),
% 7.86/5.38 inference(monotonicity,[status(thm)],[1693])).
% 7.86/5.38 tff(1695,plain,
% 7.86/5.38 (((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB177) <=> (~(v84(constB177, bitIndex0) | v84(constB177, bitIndex1) | (~v84(constB177, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB177) <=> (~((~v84(constB177, bitIndex2)) | v84(constB177, bitIndex1) | v84(constB177, bitIndex0)))))),
% 7.86/5.38 inference(transitivity,[status(thm)],[1694, 1692])).
% 7.86/5.38 tff(1696,plain,
% 7.86/5.38 ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB177) <=> (~(v84(constB177, bitIndex0) | v84(constB177, bitIndex1) | (~v84(constB177, bitIndex2)))))),
% 7.86/5.38 inference(quant_inst,[status(thm)],[])).
% 7.86/5.38 tff(1697,plain,
% 7.86/5.38 ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB177) <=> (~((~v84(constB177, bitIndex2)) | v84(constB177, bitIndex1) | v84(constB177, bitIndex0))))),
% 7.86/5.38 inference(modus_ponens,[status(thm)],[1696, 1695])).
% 7.86/5.38 tff(1698,plain,
% 7.86/5.38 (v117(constB177) <=> (~((~v84(constB177, bitIndex2)) | v84(constB177, bitIndex1) | v84(constB177, bitIndex0)))),
% 7.86/5.38 inference(unit_resolution,[status(thm)],[1697, 1071])).
% 7.86/5.38 tff(1699,plain,
% 7.86/5.38 (nextState(constB176, constB177) <=> nextState(constB176, constB177)),
% 7.86/5.38 inference(rewrite,[status(thm)],[])).
% 7.86/5.38 tff(1700,axiom,(nextState(constB176, constB177)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_176')).
% 7.86/5.38 tff(1701,plain,
% 7.86/5.38 (nextState(constB176, constB177)),
% 7.86/5.38 inference(modus_ponens,[status(thm)],[1700, 1699])).
% 7.86/5.38 tff(1702,plain,
% 7.86/5.38 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB176, constB177)) | (v94(constB177) <=> (~((~v104(constB177)) | (~v95(constB177))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB176, constB177)) | (v94(constB177) <=> (~((~v104(constB177)) | (~v95(constB177))))))),
% 7.86/5.38 inference(rewrite,[status(thm)],[])).
% 7.86/5.38 tff(1703,plain,
% 7.86/5.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB176, constB177)) | (v94(constB177) <=> (~((~v104(constB177)) | (~v95(constB177))))))),
% 7.86/5.38 inference(quant_inst,[status(thm)],[])).
% 7.86/5.38 tff(1704,plain,
% 7.86/5.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB176, constB177)) | (v94(constB177) <=> (~((~v104(constB177)) | (~v95(constB177)))))),
% 7.86/5.38 inference(modus_ponens,[status(thm)],[1703, 1702])).
% 7.86/5.38 tff(1705,plain,
% 7.86/5.38 (v94(constB177) <=> (~((~v104(constB177)) | (~v95(constB177))))),
% 7.86/5.38 inference(unit_resolution,[status(thm)],[1704, 1701, 775])).
% 7.86/5.38 tff(1706,plain,
% 7.86/5.38 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB176, constB177)) | (v95(constB177) <=> (~((~v1(constB177)) | (~v96(constB177))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB176, constB177)) | (v95(constB177) <=> (~((~v1(constB177)) | (~v96(constB177))))))),
% 7.86/5.38 inference(rewrite,[status(thm)],[])).
% 7.86/5.38 tff(1707,plain,
% 7.86/5.38 (((~nextState(constB176, constB177)) | (v95(constB177) <=> (~((~v96(constB177)) | (~v1(constB177)))))) <=> ((~nextState(constB176, constB177)) | (v95(constB177) <=> (~((~v1(constB177)) | (~v96(constB177))))))),
% 7.86/5.38 inference(rewrite,[status(thm)],[])).
% 7.86/5.38 tff(1708,plain,
% 7.86/5.38 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB176, constB177)) | (v95(constB177) <=> (~((~v96(constB177)) | (~v1(constB177))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB176, constB177)) | (v95(constB177) <=> (~((~v1(constB177)) | (~v96(constB177)))))))),
% 7.86/5.38 inference(monotonicity,[status(thm)],[1707])).
% 7.86/5.38 tff(1709,plain,
% 7.86/5.38 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB176, constB177)) | (v95(constB177) <=> (~((~v96(constB177)) | (~v1(constB177))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB176, constB177)) | (v95(constB177) <=> (~((~v1(constB177)) | (~v96(constB177))))))),
% 7.86/5.38 inference(transitivity,[status(thm)],[1708, 1706])).
% 7.86/5.38 tff(1710,plain,
% 7.86/5.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB176, constB177)) | (v95(constB177) <=> (~((~v96(constB177)) | (~v1(constB177))))))),
% 7.86/5.38 inference(quant_inst,[status(thm)],[])).
% 7.86/5.38 tff(1711,plain,
% 7.86/5.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB176, constB177)) | (v95(constB177) <=> (~((~v1(constB177)) | (~v96(constB177)))))),
% 7.86/5.38 inference(modus_ponens,[status(thm)],[1710, 1709])).
% 7.86/5.38 tff(1712,plain,
% 7.86/5.38 (v95(constB177) <=> (~((~v1(constB177)) | (~v96(constB177))))),
% 7.86/5.38 inference(unit_resolution,[status(thm)],[1711, 1701, 795])).
% 7.86/5.38 tff(1713,plain,
% 7.86/5.38 (((~v1(constB177)) | (~v96(constB177))) | v1(constB177)),
% 7.86/5.38 inference(tautology,[status(thm)],[])).
% 7.86/5.38 tff(1714,plain,
% 7.86/5.38 ((~v1(constB177)) | (~v96(constB177))),
% 7.86/5.38 inference(unit_resolution,[status(thm)],[1713, 1664])).
% 7.86/5.38 tff(1715,plain,
% 7.86/5.38 ((~(v95(constB177) <=> (~((~v1(constB177)) | (~v96(constB177)))))) | (~v95(constB177)) | (~((~v1(constB177)) | (~v96(constB177))))),
% 7.86/5.38 inference(tautology,[status(thm)],[])).
% 7.86/5.38 tff(1716,plain,
% 7.86/5.38 ((~(v95(constB177) <=> (~((~v1(constB177)) | (~v96(constB177)))))) | (~v95(constB177))),
% 7.86/5.38 inference(unit_resolution,[status(thm)],[1715, 1714])).
% 7.86/5.38 tff(1717,plain,
% 7.86/5.38 (~v95(constB177)),
% 7.86/5.38 inference(unit_resolution,[status(thm)],[1716, 1712])).
% 7.86/5.38 tff(1718,plain,
% 7.86/5.38 (((~v104(constB177)) | (~v95(constB177))) | v95(constB177)),
% 7.86/5.38 inference(tautology,[status(thm)],[])).
% 7.86/5.38 tff(1719,plain,
% 7.86/5.38 ((~v104(constB177)) | (~v95(constB177))),
% 7.86/5.38 inference(unit_resolution,[status(thm)],[1718, 1717])).
% 7.86/5.38 tff(1720,plain,
% 7.86/5.38 ((~(v94(constB177) <=> (~((~v104(constB177)) | (~v95(constB177)))))) | (~v94(constB177)) | (~((~v104(constB177)) | (~v95(constB177))))),
% 7.86/5.38 inference(tautology,[status(thm)],[])).
% 7.86/5.38 tff(1721,plain,
% 7.86/5.38 (~v94(constB177)),
% 7.86/5.38 inference(unit_resolution,[status(thm)],[1720, 1719, 1705])).
% 7.86/5.38 tff(1722,plain,
% 7.86/5.38 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB177) | (~nextState(constB176, constB177)) | ![B: $i] : ((~less_3(B)) | (v84(constB177, B) <=> v84(constB176, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB177) | (~nextState(constB176, constB177)) | ![B: $i] : ((~less_3(B)) | (v84(constB177, B) <=> v84(constB176, B))))),
% 7.86/5.38 inference(rewrite,[status(thm)],[])).
% 7.86/5.38 tff(1723,plain,
% 7.86/5.38 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB177) | (~nextState(constB176, constB177)) | ![B: $i] : ((~less_3(B)) | (v84(constB177, B) <=> v84(constB176, B))))),
% 7.86/5.38 inference(quant_inst,[status(thm)],[])).
% 7.86/5.38 tff(1724,plain,
% 7.86/5.38 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB177) | (~nextState(constB176, constB177)) | ![B: $i] : ((~less_3(B)) | (v84(constB177, B) <=> v84(constB176, B)))),
% 7.86/5.38 inference(modus_ponens,[status(thm)],[1723, 1722])).
% 7.86/5.38 tff(1725,plain,
% 7.86/5.38 (v94(constB177) | ![B: $i] : ((~less_3(B)) | (v84(constB177, B) <=> v84(constB176, B)))),
% 7.86/5.38 inference(unit_resolution,[status(thm)],[1724, 1701, 824])).
% 7.86/5.38 tff(1726,plain,
% 7.86/5.38 (![B: $i] : ((~less_3(B)) | (v84(constB177, B) <=> v84(constB176, B)))),
% 7.86/5.38 inference(unit_resolution,[status(thm)],[1725, 1721])).
% 7.86/5.38 tff(1727,plain,
% 7.86/5.38 (((~![B: $i] : ((~less_3(B)) | (v84(constB177, B) <=> v84(constB176, B)))) | ((~less_3(bitIndex2)) | (v84(constB177, bitIndex2) <=> v84(constB176, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB177, B) <=> v84(constB176, B)))) | (~less_3(bitIndex2)) | (v84(constB177, bitIndex2) <=> v84(constB176, bitIndex2)))),
% 7.86/5.38 inference(rewrite,[status(thm)],[])).
% 7.86/5.38 tff(1728,plain,
% 7.86/5.38 ((~![B: $i] : ((~less_3(B)) | (v84(constB177, B) <=> v84(constB176, B)))) | ((~less_3(bitIndex2)) | (v84(constB177, bitIndex2) <=> v84(constB176, bitIndex2)))),
% 7.86/5.38 inference(quant_inst,[status(thm)],[])).
% 7.86/5.38 tff(1729,plain,
% 7.86/5.38 ((~![B: $i] : ((~less_3(B)) | (v84(constB177, B) <=> v84(constB176, B)))) | (~less_3(bitIndex2)) | (v84(constB177, bitIndex2) <=> v84(constB176, bitIndex2))),
% 7.86/5.38 inference(modus_ponens,[status(thm)],[1728, 1727])).
% 7.86/5.38 tff(1730,plain,
% 7.86/5.38 (v84(constB177, bitIndex2) <=> v84(constB176, bitIndex2)),
% 7.86/5.38 inference(unit_resolution,[status(thm)],[1729, 832, 1726])).
% 7.86/5.38 tff(1731,plain,
% 7.86/5.38 (nextState(constB175, constB176) <=> nextState(constB175, constB176)),
% 7.86/5.38 inference(rewrite,[status(thm)],[])).
% 7.86/5.38 tff(1732,axiom,(nextState(constB175, constB176)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_175')).
% 7.86/5.38 tff(1733,plain,
% 7.86/5.38 (nextState(constB175, constB176)),
% 7.86/5.38 inference(modus_ponens,[status(thm)],[1732, 1731])).
% 7.86/5.38 tff(1734,plain,
% 7.86/5.38 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB175, constB176)) | (v94(constB176) <=> (~((~v104(constB176)) | (~v95(constB176))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB175, constB176)) | (v94(constB176) <=> (~((~v104(constB176)) | (~v95(constB176))))))),
% 7.86/5.38 inference(rewrite,[status(thm)],[])).
% 7.86/5.38 tff(1735,plain,
% 7.86/5.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB175, constB176)) | (v94(constB176) <=> (~((~v104(constB176)) | (~v95(constB176))))))),
% 7.86/5.38 inference(quant_inst,[status(thm)],[])).
% 7.86/5.38 tff(1736,plain,
% 7.86/5.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB175, constB176)) | (v94(constB176) <=> (~((~v104(constB176)) | (~v95(constB176)))))),
% 7.86/5.38 inference(modus_ponens,[status(thm)],[1735, 1734])).
% 7.86/5.38 tff(1737,plain,
% 7.86/5.38 (v94(constB176) <=> (~((~v104(constB176)) | (~v95(constB176))))),
% 7.86/5.38 inference(unit_resolution,[status(thm)],[1736, 1733, 775])).
% 7.86/5.38 tff(1738,plain,
% 7.86/5.38 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB175, constB176)) | (v95(constB176) <=> (~((~v1(constB176)) | (~v96(constB176))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB175, constB176)) | (v95(constB176) <=> (~((~v1(constB176)) | (~v96(constB176))))))),
% 7.86/5.38 inference(rewrite,[status(thm)],[])).
% 7.86/5.38 tff(1739,plain,
% 7.86/5.38 (((~nextState(constB175, constB176)) | (v95(constB176) <=> (~((~v96(constB176)) | (~v1(constB176)))))) <=> ((~nextState(constB175, constB176)) | (v95(constB176) <=> (~((~v1(constB176)) | (~v96(constB176))))))),
% 7.86/5.38 inference(rewrite,[status(thm)],[])).
% 7.86/5.38 tff(1740,plain,
% 7.86/5.38 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB175, constB176)) | (v95(constB176) <=> (~((~v96(constB176)) | (~v1(constB176))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB175, constB176)) | (v95(constB176) <=> (~((~v1(constB176)) | (~v96(constB176)))))))),
% 7.86/5.38 inference(monotonicity,[status(thm)],[1739])).
% 7.86/5.38 tff(1741,plain,
% 7.86/5.38 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB175, constB176)) | (v95(constB176) <=> (~((~v96(constB176)) | (~v1(constB176))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB175, constB176)) | (v95(constB176) <=> (~((~v1(constB176)) | (~v96(constB176))))))),
% 7.86/5.38 inference(transitivity,[status(thm)],[1740, 1738])).
% 7.86/5.38 tff(1742,plain,
% 7.86/5.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB175, constB176)) | (v95(constB176) <=> (~((~v96(constB176)) | (~v1(constB176))))))),
% 7.86/5.38 inference(quant_inst,[status(thm)],[])).
% 7.86/5.38 tff(1743,plain,
% 7.86/5.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB175, constB176)) | (v95(constB176) <=> (~((~v1(constB176)) | (~v96(constB176)))))),
% 7.86/5.38 inference(modus_ponens,[status(thm)],[1742, 1741])).
% 7.86/5.38 tff(1744,plain,
% 7.86/5.38 (v95(constB176) <=> (~((~v1(constB176)) | (~v96(constB176))))),
% 7.86/5.38 inference(unit_resolution,[status(thm)],[1743, 1733, 795])).
% 7.86/5.38 tff(1745,plain,
% 7.86/5.38 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB175, constB176)) | ((~v96(constB176)) <=> v98(constB176)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB175, constB176)) | ((~v96(constB176)) <=> v98(constB176)))),
% 7.86/5.38 inference(rewrite,[status(thm)],[])).
% 7.86/5.38 tff(1746,plain,
% 7.86/5.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB175, constB176)) | ((~v96(constB176)) <=> v98(constB176)))),
% 7.86/5.38 inference(quant_inst,[status(thm)],[])).
% 7.86/5.38 tff(1747,plain,
% 7.86/5.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB175, constB176)) | ((~v96(constB176)) <=> v98(constB176))),
% 7.86/5.38 inference(modus_ponens,[status(thm)],[1746, 1745])).
% 7.86/5.38 tff(1748,plain,
% 7.86/5.38 ((~v96(constB176)) <=> v98(constB176)),
% 7.86/5.38 inference(unit_resolution,[status(thm)],[1747, 1733, 860])).
% 7.86/5.38 tff(1749,plain,
% 7.86/5.38 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB175, constB176)) | (v98(constB176) <=> v1(constB175)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB175, constB176)) | (v98(constB176) <=> v1(constB175)))),
% 7.86/5.38 inference(rewrite,[status(thm)],[])).
% 7.86/5.38 tff(1750,plain,
% 7.86/5.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB175, constB176)) | (v98(constB176) <=> v1(constB175)))),
% 7.86/5.38 inference(quant_inst,[status(thm)],[])).
% 7.86/5.38 tff(1751,plain,
% 7.86/5.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB175, constB176)) | (v98(constB176) <=> v1(constB175))),
% 7.86/5.38 inference(modus_ponens,[status(thm)],[1750, 1749])).
% 7.86/5.38 tff(1752,plain,
% 7.86/5.38 (v98(constB176) <=> v1(constB175)),
% 7.86/5.38 inference(unit_resolution,[status(thm)],[1751, 1733, 874])).
% 7.86/5.38 tff(1753,plain,
% 7.86/5.38 ((~v1(constB175)) <=> (~v1(constB175))),
% 7.86/5.38 inference(rewrite,[status(thm)],[])).
% 7.86/5.38 tff(1754,axiom,(~v1(constB175)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_175')).
% 7.86/5.38 tff(1755,plain,
% 7.86/5.38 (~v1(constB175)),
% 7.86/5.38 inference(modus_ponens,[status(thm)],[1754, 1753])).
% 7.86/5.38 tff(1756,plain,
% 7.86/5.38 ((~(v98(constB176) <=> v1(constB175))) | (~v98(constB176)) | v1(constB175)),
% 7.86/5.38 inference(tautology,[status(thm)],[])).
% 7.86/5.38 tff(1757,plain,
% 7.86/5.38 ((~(v98(constB176) <=> v1(constB175))) | (~v98(constB176))),
% 7.86/5.38 inference(unit_resolution,[status(thm)],[1756, 1755])).
% 7.86/5.38 tff(1758,plain,
% 7.86/5.38 (~v98(constB176)),
% 7.86/5.38 inference(unit_resolution,[status(thm)],[1757, 1752])).
% 7.86/5.38 tff(1759,plain,
% 7.86/5.38 ((~((~v96(constB176)) <=> v98(constB176))) | v96(constB176) | v98(constB176)),
% 7.86/5.38 inference(tautology,[status(thm)],[])).
% 7.86/5.38 tff(1760,plain,
% 7.86/5.38 (v96(constB176)),
% 7.86/5.38 inference(unit_resolution,[status(thm)],[1759, 1758, 1748])).
% 7.86/5.38 tff(1761,plain,
% 7.86/5.38 (v1(constB176) <=> v1(constB176)),
% 7.86/5.38 inference(rewrite,[status(thm)],[])).
% 7.86/5.38 tff(1762,axiom,(v1(constB176)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_176')).
% 7.86/5.38 tff(1763,plain,
% 7.86/5.38 (v1(constB176)),
% 7.86/5.38 inference(modus_ponens,[status(thm)],[1762, 1761])).
% 7.86/5.38 tff(1764,plain,
% 7.86/5.38 ((~((~v1(constB176)) | (~v96(constB176)))) | (~v1(constB176)) | (~v96(constB176))),
% 7.86/5.38 inference(tautology,[status(thm)],[])).
% 7.86/5.38 tff(1765,plain,
% 7.86/5.38 ((~((~v1(constB176)) | (~v96(constB176)))) | (~v96(constB176))),
% 7.86/5.38 inference(unit_resolution,[status(thm)],[1764, 1763])).
% 7.86/5.38 tff(1766,plain,
% 7.86/5.38 (~((~v1(constB176)) | (~v96(constB176)))),
% 7.86/5.38 inference(unit_resolution,[status(thm)],[1765, 1760])).
% 7.86/5.38 tff(1767,plain,
% 7.86/5.38 ((~(v95(constB176) <=> (~((~v1(constB176)) | (~v96(constB176)))))) | v95(constB176) | ((~v1(constB176)) | (~v96(constB176)))),
% 7.86/5.38 inference(tautology,[status(thm)],[])).
% 7.86/5.38 tff(1768,plain,
% 7.86/5.38 (v95(constB176)),
% 7.86/5.38 inference(unit_resolution,[status(thm)],[1767, 1766, 1744])).
% 7.86/5.38 tff(1769,plain,
% 7.86/5.38 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB175, constB176)) | (v104(constB176) <=> v102(constB175)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB175, constB176)) | (v104(constB176) <=> v102(constB175)))),
% 7.86/5.38 inference(rewrite,[status(thm)],[])).
% 7.86/5.38 tff(1770,plain,
% 7.86/5.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB175, constB176)) | (v104(constB176) <=> v102(constB175)))),
% 7.86/5.38 inference(quant_inst,[status(thm)],[])).
% 7.86/5.38 tff(1771,plain,
% 7.86/5.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB175, constB176)) | (v104(constB176) <=> v102(constB175))),
% 7.86/5.38 inference(modus_ponens,[status(thm)],[1770, 1769])).
% 7.86/5.38 tff(1772,plain,
% 7.86/5.38 (v104(constB176) <=> v102(constB175)),
% 7.86/5.38 inference(unit_resolution,[status(thm)],[1771, 1733, 904])).
% 7.86/5.38 tff(1773,plain,
% 7.86/5.38 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB175) <=> (v105(constB175) | v106(constB175)))),
% 7.86/5.38 inference(quant_inst,[status(thm)],[])).
% 7.86/5.38 tff(1774,plain,
% 7.86/5.38 (v102(constB175) <=> (v105(constB175) | v106(constB175))),
% 7.86/5.38 inference(unit_resolution,[status(thm)],[1773, 915])).
% 7.86/5.38 tff(1775,plain,
% 7.86/5.38 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB175) <=> (~((~v107(constB175)) | (~v120(constB175)))))),
% 7.86/5.38 inference(quant_inst,[status(thm)],[])).
% 7.86/5.38 tff(1776,plain,
% 7.86/5.38 (v106(constB175) <=> (~((~v107(constB175)) | (~v120(constB175))))),
% 7.86/5.38 inference(unit_resolution,[status(thm)],[1775, 927])).
% 7.86/5.38 tff(1777,plain,
% 7.86/5.38 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB175) <=> (v108(constB175) | v119(constB175)))),
% 7.86/5.38 inference(quant_inst,[status(thm)],[])).
% 7.86/5.38 tff(1778,plain,
% 7.86/5.38 (v107(constB175) <=> (v108(constB175) | v119(constB175))),
% 7.86/5.38 inference(unit_resolution,[status(thm)],[1777, 936])).
% 7.86/5.38 tff(1779,plain,
% 7.86/5.38 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB175) <=> (v109(constB175) | v118(constB175)))),
% 7.86/5.38 inference(quant_inst,[status(thm)],[])).
% 7.86/5.38 tff(1780,plain,
% 7.86/5.38 (v108(constB175) <=> (v109(constB175) | v118(constB175))),
% 7.86/5.38 inference(unit_resolution,[status(thm)],[1779, 945])).
% 7.86/5.38 tff(1781,plain,
% 7.86/5.38 ((~![VarCurr: $i] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB175) <=> (v110(constB175) | v117(constB175)))),
% 7.86/5.38 inference(quant_inst,[status(thm)],[])).
% 7.86/5.38 tff(1782,plain,
% 7.86/5.38 (v109(constB175) <=> (v110(constB175) | v117(constB175))),
% 7.86/5.38 inference(unit_resolution,[status(thm)],[1781, 1056])).
% 7.86/5.38 tff(1783,plain,
% 7.86/5.38 ((~![VarCurr: $i] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB175) <=> (v111(constB175) | v116(constB175)))),
% 7.86/5.38 inference(quant_inst,[status(thm)],[])).
% 7.86/5.38 tff(1784,plain,
% 7.86/5.38 (v110(constB175) <=> (v111(constB175) | v116(constB175))),
% 7.86/5.38 inference(unit_resolution,[status(thm)],[1783, 1169])).
% 7.86/5.38 tff(1785,plain,
% 7.86/5.38 ((~![VarCurr: $i] : (v116(VarCurr) <=> (~(v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex0)))))) | (v116(constB175) <=> (~(v84(constB175, bitIndex2) | (~v84(constB175, bitIndex1)) | (~v84(constB175, bitIndex0)))))),
% 7.86/5.38 inference(quant_inst,[status(thm)],[])).
% 7.86/5.38 tff(1786,plain,
% 7.86/5.38 (v116(constB175) <=> (~(v84(constB175, bitIndex2) | (~v84(constB175, bitIndex1)) | (~v84(constB175, bitIndex0))))),
% 7.86/5.38 inference(unit_resolution,[status(thm)],[1785, 1184])).
% 7.86/5.38 tff(1787,plain,
% 7.86/5.38 (nextState(constB174, constB175) <=> nextState(constB174, constB175)),
% 7.86/5.38 inference(rewrite,[status(thm)],[])).
% 7.86/5.38 tff(1788,axiom,(nextState(constB174, constB175)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_174')).
% 7.86/5.38 tff(1789,plain,
% 7.86/5.38 (nextState(constB174, constB175)),
% 7.86/5.38 inference(modus_ponens,[status(thm)],[1788, 1787])).
% 7.86/5.38 tff(1790,plain,
% 7.86/5.38 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB174, constB175)) | (v94(constB175) <=> (~((~v104(constB175)) | (~v95(constB175))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB174, constB175)) | (v94(constB175) <=> (~((~v104(constB175)) | (~v95(constB175))))))),
% 7.86/5.38 inference(rewrite,[status(thm)],[])).
% 7.86/5.38 tff(1791,plain,
% 7.86/5.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB174, constB175)) | (v94(constB175) <=> (~((~v104(constB175)) | (~v95(constB175))))))),
% 7.86/5.38 inference(quant_inst,[status(thm)],[])).
% 7.86/5.38 tff(1792,plain,
% 7.86/5.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB174, constB175)) | (v94(constB175) <=> (~((~v104(constB175)) | (~v95(constB175)))))),
% 7.86/5.38 inference(modus_ponens,[status(thm)],[1791, 1790])).
% 7.86/5.38 tff(1793,plain,
% 7.86/5.38 (v94(constB175) <=> (~((~v104(constB175)) | (~v95(constB175))))),
% 7.86/5.38 inference(unit_resolution,[status(thm)],[1792, 1789, 775])).
% 7.86/5.38 tff(1794,plain,
% 7.86/5.38 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB174, constB175)) | (v95(constB175) <=> (~((~v1(constB175)) | (~v96(constB175))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB174, constB175)) | (v95(constB175) <=> (~((~v1(constB175)) | (~v96(constB175))))))),
% 7.86/5.38 inference(rewrite,[status(thm)],[])).
% 7.86/5.38 tff(1795,plain,
% 7.86/5.38 (((~nextState(constB174, constB175)) | (v95(constB175) <=> (~((~v96(constB175)) | (~v1(constB175)))))) <=> ((~nextState(constB174, constB175)) | (v95(constB175) <=> (~((~v1(constB175)) | (~v96(constB175))))))),
% 7.86/5.38 inference(rewrite,[status(thm)],[])).
% 7.86/5.38 tff(1796,plain,
% 7.86/5.38 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB174, constB175)) | (v95(constB175) <=> (~((~v96(constB175)) | (~v1(constB175))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB174, constB175)) | (v95(constB175) <=> (~((~v1(constB175)) | (~v96(constB175)))))))),
% 7.86/5.38 inference(monotonicity,[status(thm)],[1795])).
% 7.86/5.38 tff(1797,plain,
% 7.86/5.38 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB174, constB175)) | (v95(constB175) <=> (~((~v96(constB175)) | (~v1(constB175))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB174, constB175)) | (v95(constB175) <=> (~((~v1(constB175)) | (~v96(constB175))))))),
% 7.86/5.38 inference(transitivity,[status(thm)],[1796, 1794])).
% 7.86/5.39 tff(1798,plain,
% 7.86/5.39 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB174, constB175)) | (v95(constB175) <=> (~((~v96(constB175)) | (~v1(constB175))))))),
% 7.86/5.39 inference(quant_inst,[status(thm)],[])).
% 7.86/5.39 tff(1799,plain,
% 7.86/5.39 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB174, constB175)) | (v95(constB175) <=> (~((~v1(constB175)) | (~v96(constB175)))))),
% 7.86/5.39 inference(modus_ponens,[status(thm)],[1798, 1797])).
% 7.86/5.39 tff(1800,plain,
% 7.86/5.39 (v95(constB175) <=> (~((~v1(constB175)) | (~v96(constB175))))),
% 7.86/5.39 inference(unit_resolution,[status(thm)],[1799, 1789, 795])).
% 7.86/5.39 tff(1801,plain,
% 7.86/5.39 (((~v1(constB175)) | (~v96(constB175))) | v1(constB175)),
% 7.86/5.39 inference(tautology,[status(thm)],[])).
% 7.86/5.39 tff(1802,plain,
% 7.86/5.39 ((~v1(constB175)) | (~v96(constB175))),
% 7.86/5.39 inference(unit_resolution,[status(thm)],[1801, 1755])).
% 7.86/5.39 tff(1803,plain,
% 7.86/5.39 ((~(v95(constB175) <=> (~((~v1(constB175)) | (~v96(constB175)))))) | (~v95(constB175)) | (~((~v1(constB175)) | (~v96(constB175))))),
% 7.86/5.39 inference(tautology,[status(thm)],[])).
% 7.86/5.39 tff(1804,plain,
% 7.86/5.39 ((~(v95(constB175) <=> (~((~v1(constB175)) | (~v96(constB175)))))) | (~v95(constB175))),
% 7.86/5.39 inference(unit_resolution,[status(thm)],[1803, 1802])).
% 7.86/5.39 tff(1805,plain,
% 7.86/5.39 (~v95(constB175)),
% 7.86/5.39 inference(unit_resolution,[status(thm)],[1804, 1800])).
% 7.86/5.39 tff(1806,plain,
% 7.86/5.39 (((~v104(constB175)) | (~v95(constB175))) | v95(constB175)),
% 7.86/5.39 inference(tautology,[status(thm)],[])).
% 7.86/5.39 tff(1807,plain,
% 7.86/5.39 ((~v104(constB175)) | (~v95(constB175))),
% 7.86/5.39 inference(unit_resolution,[status(thm)],[1806, 1805])).
% 7.86/5.39 tff(1808,plain,
% 7.86/5.39 ((~(v94(constB175) <=> (~((~v104(constB175)) | (~v95(constB175)))))) | (~v94(constB175)) | (~((~v104(constB175)) | (~v95(constB175))))),
% 7.86/5.39 inference(tautology,[status(thm)],[])).
% 7.86/5.39 tff(1809,plain,
% 7.86/5.39 (~v94(constB175)),
% 7.86/5.39 inference(unit_resolution,[status(thm)],[1808, 1807, 1793])).
% 7.86/5.39 tff(1810,plain,
% 7.86/5.39 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB175) | (~nextState(constB174, constB175)) | ![B: $i] : ((~less_3(B)) | (v84(constB175, B) <=> v84(constB174, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB175) | (~nextState(constB174, constB175)) | ![B: $i] : ((~less_3(B)) | (v84(constB175, B) <=> v84(constB174, B))))),
% 7.86/5.39 inference(rewrite,[status(thm)],[])).
% 7.86/5.39 tff(1811,plain,
% 7.86/5.39 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB175) | (~nextState(constB174, constB175)) | ![B: $i] : ((~less_3(B)) | (v84(constB175, B) <=> v84(constB174, B))))),
% 7.86/5.39 inference(quant_inst,[status(thm)],[])).
% 7.86/5.39 tff(1812,plain,
% 7.86/5.39 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB175) | (~nextState(constB174, constB175)) | ![B: $i] : ((~less_3(B)) | (v84(constB175, B) <=> v84(constB174, B)))),
% 7.86/5.39 inference(modus_ponens,[status(thm)],[1811, 1810])).
% 7.86/5.39 tff(1813,plain,
% 7.86/5.39 (v94(constB175) | ![B: $i] : ((~less_3(B)) | (v84(constB175, B) <=> v84(constB174, B)))),
% 7.86/5.39 inference(unit_resolution,[status(thm)],[1812, 1789, 824])).
% 7.86/5.39 tff(1814,plain,
% 7.86/5.39 (![B: $i] : ((~less_3(B)) | (v84(constB175, B) <=> v84(constB174, B)))),
% 7.86/5.39 inference(unit_resolution,[status(thm)],[1813, 1809])).
% 7.86/5.39 tff(1815,plain,
% 7.86/5.39 (((~![B: $i] : ((~less_3(B)) | (v84(constB175, B) <=> v84(constB174, B)))) | ((~less_3(bitIndex2)) | (v84(constB175, bitIndex2) <=> v84(constB174, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB175, B) <=> v84(constB174, B)))) | (~less_3(bitIndex2)) | (v84(constB175, bitIndex2) <=> v84(constB174, bitIndex2)))),
% 7.86/5.39 inference(rewrite,[status(thm)],[])).
% 7.86/5.39 tff(1816,plain,
% 7.86/5.39 ((~![B: $i] : ((~less_3(B)) | (v84(constB175, B) <=> v84(constB174, B)))) | ((~less_3(bitIndex2)) | (v84(constB175, bitIndex2) <=> v84(constB174, bitIndex2)))),
% 7.86/5.39 inference(quant_inst,[status(thm)],[])).
% 7.86/5.39 tff(1817,plain,
% 7.86/5.39 ((~![B: $i] : ((~less_3(B)) | (v84(constB175, B) <=> v84(constB174, B)))) | (~less_3(bitIndex2)) | (v84(constB175, bitIndex2) <=> v84(constB174, bitIndex2))),
% 7.86/5.39 inference(modus_ponens,[status(thm)],[1816, 1815])).
% 7.86/5.39 tff(1818,plain,
% 7.86/5.39 (v84(constB175, bitIndex2) <=> v84(constB174, bitIndex2)),
% 7.86/5.39 inference(unit_resolution,[status(thm)],[1817, 832, 1814])).
% 7.86/5.39 tff(1819,plain,
% 7.86/5.39 (nextState(constB173, constB174) <=> nextState(constB173, constB174)),
% 7.86/5.39 inference(rewrite,[status(thm)],[])).
% 7.86/5.39 tff(1820,axiom,(nextState(constB173, constB174)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_173')).
% 7.86/5.39 tff(1821,plain,
% 7.86/5.39 (nextState(constB173, constB174)),
% 7.86/5.39 inference(modus_ponens,[status(thm)],[1820, 1819])).
% 7.86/5.39 tff(1822,plain,
% 7.86/5.39 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB173, constB174)) | (v94(constB174) <=> (~((~v104(constB174)) | (~v95(constB174))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB173, constB174)) | (v94(constB174) <=> (~((~v104(constB174)) | (~v95(constB174))))))),
% 7.86/5.39 inference(rewrite,[status(thm)],[])).
% 7.86/5.39 tff(1823,plain,
% 7.86/5.39 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB173, constB174)) | (v94(constB174) <=> (~((~v104(constB174)) | (~v95(constB174))))))),
% 7.86/5.39 inference(quant_inst,[status(thm)],[])).
% 7.86/5.39 tff(1824,plain,
% 7.86/5.39 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB173, constB174)) | (v94(constB174) <=> (~((~v104(constB174)) | (~v95(constB174)))))),
% 7.86/5.39 inference(modus_ponens,[status(thm)],[1823, 1822])).
% 7.86/5.39 tff(1825,plain,
% 7.86/5.39 (v94(constB174) <=> (~((~v104(constB174)) | (~v95(constB174))))),
% 7.86/5.39 inference(unit_resolution,[status(thm)],[1824, 1821, 775])).
% 7.86/5.39 tff(1826,plain,
% 7.86/5.39 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB173, constB174)) | (v95(constB174) <=> (~((~v1(constB174)) | (~v96(constB174))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB173, constB174)) | (v95(constB174) <=> (~((~v1(constB174)) | (~v96(constB174))))))),
% 7.86/5.39 inference(rewrite,[status(thm)],[])).
% 7.86/5.39 tff(1827,plain,
% 7.86/5.39 (((~nextState(constB173, constB174)) | (v95(constB174) <=> (~((~v96(constB174)) | (~v1(constB174)))))) <=> ((~nextState(constB173, constB174)) | (v95(constB174) <=> (~((~v1(constB174)) | (~v96(constB174))))))),
% 7.86/5.39 inference(rewrite,[status(thm)],[])).
% 7.86/5.39 tff(1828,plain,
% 7.86/5.39 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB173, constB174)) | (v95(constB174) <=> (~((~v96(constB174)) | (~v1(constB174))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB173, constB174)) | (v95(constB174) <=> (~((~v1(constB174)) | (~v96(constB174)))))))),
% 7.86/5.39 inference(monotonicity,[status(thm)],[1827])).
% 7.86/5.39 tff(1829,plain,
% 7.86/5.39 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB173, constB174)) | (v95(constB174) <=> (~((~v96(constB174)) | (~v1(constB174))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB173, constB174)) | (v95(constB174) <=> (~((~v1(constB174)) | (~v96(constB174))))))),
% 7.86/5.39 inference(transitivity,[status(thm)],[1828, 1826])).
% 7.86/5.39 tff(1830,plain,
% 7.86/5.39 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB173, constB174)) | (v95(constB174) <=> (~((~v96(constB174)) | (~v1(constB174))))))),
% 7.86/5.39 inference(quant_inst,[status(thm)],[])).
% 7.86/5.39 tff(1831,plain,
% 7.86/5.39 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB173, constB174)) | (v95(constB174) <=> (~((~v1(constB174)) | (~v96(constB174)))))),
% 7.86/5.39 inference(modus_ponens,[status(thm)],[1830, 1829])).
% 7.86/5.39 tff(1832,plain,
% 7.86/5.39 (v95(constB174) <=> (~((~v1(constB174)) | (~v96(constB174))))),
% 7.86/5.39 inference(unit_resolution,[status(thm)],[1831, 1821, 795])).
% 7.86/5.39 tff(1833,plain,
% 7.86/5.39 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB173, constB174)) | ((~v96(constB174)) <=> v98(constB174)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB173, constB174)) | ((~v96(constB174)) <=> v98(constB174)))),
% 7.86/5.39 inference(rewrite,[status(thm)],[])).
% 7.86/5.39 tff(1834,plain,
% 7.86/5.39 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB173, constB174)) | ((~v96(constB174)) <=> v98(constB174)))),
% 7.86/5.39 inference(quant_inst,[status(thm)],[])).
% 7.86/5.39 tff(1835,plain,
% 7.86/5.39 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB173, constB174)) | ((~v96(constB174)) <=> v98(constB174))),
% 7.86/5.39 inference(modus_ponens,[status(thm)],[1834, 1833])).
% 7.86/5.39 tff(1836,plain,
% 7.86/5.39 ((~v96(constB174)) <=> v98(constB174)),
% 7.86/5.39 inference(unit_resolution,[status(thm)],[1835, 1821, 860])).
% 7.86/5.39 tff(1837,plain,
% 7.86/5.39 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB173, constB174)) | (v98(constB174) <=> v1(constB173)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB173, constB174)) | (v98(constB174) <=> v1(constB173)))),
% 7.86/5.39 inference(rewrite,[status(thm)],[])).
% 7.86/5.39 tff(1838,plain,
% 7.86/5.39 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB173, constB174)) | (v98(constB174) <=> v1(constB173)))),
% 7.86/5.39 inference(quant_inst,[status(thm)],[])).
% 7.86/5.39 tff(1839,plain,
% 7.86/5.39 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB173, constB174)) | (v98(constB174) <=> v1(constB173))),
% 7.86/5.39 inference(modus_ponens,[status(thm)],[1838, 1837])).
% 7.86/5.39 tff(1840,plain,
% 7.86/5.39 (v98(constB174) <=> v1(constB173)),
% 7.86/5.39 inference(unit_resolution,[status(thm)],[1839, 1821, 874])).
% 7.86/5.39 tff(1841,plain,
% 7.86/5.39 ((~v1(constB173)) <=> (~v1(constB173))),
% 7.86/5.39 inference(rewrite,[status(thm)],[])).
% 7.86/5.39 tff(1842,axiom,(~v1(constB173)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_173')).
% 7.86/5.39 tff(1843,plain,
% 7.86/5.39 (~v1(constB173)),
% 7.86/5.39 inference(modus_ponens,[status(thm)],[1842, 1841])).
% 7.86/5.39 tff(1844,plain,
% 7.86/5.39 ((~(v98(constB174) <=> v1(constB173))) | (~v98(constB174)) | v1(constB173)),
% 7.86/5.39 inference(tautology,[status(thm)],[])).
% 7.86/5.39 tff(1845,plain,
% 7.86/5.39 ((~(v98(constB174) <=> v1(constB173))) | (~v98(constB174))),
% 7.86/5.39 inference(unit_resolution,[status(thm)],[1844, 1843])).
% 7.86/5.39 tff(1846,plain,
% 7.86/5.39 (~v98(constB174)),
% 7.86/5.39 inference(unit_resolution,[status(thm)],[1845, 1840])).
% 7.86/5.39 tff(1847,plain,
% 7.86/5.39 ((~((~v96(constB174)) <=> v98(constB174))) | v96(constB174) | v98(constB174)),
% 7.86/5.39 inference(tautology,[status(thm)],[])).
% 7.86/5.39 tff(1848,plain,
% 7.86/5.39 (v96(constB174)),
% 7.86/5.39 inference(unit_resolution,[status(thm)],[1847, 1846, 1836])).
% 7.86/5.39 tff(1849,plain,
% 7.86/5.39 (v1(constB174) <=> v1(constB174)),
% 7.86/5.39 inference(rewrite,[status(thm)],[])).
% 7.86/5.39 tff(1850,axiom,(v1(constB174)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_174')).
% 7.86/5.39 tff(1851,plain,
% 7.86/5.39 (v1(constB174)),
% 7.86/5.39 inference(modus_ponens,[status(thm)],[1850, 1849])).
% 7.86/5.39 tff(1852,plain,
% 7.86/5.39 ((~((~v1(constB174)) | (~v96(constB174)))) | (~v1(constB174)) | (~v96(constB174))),
% 7.86/5.39 inference(tautology,[status(thm)],[])).
% 7.86/5.39 tff(1853,plain,
% 7.86/5.39 ((~((~v1(constB174)) | (~v96(constB174)))) | (~v96(constB174))),
% 7.86/5.39 inference(unit_resolution,[status(thm)],[1852, 1851])).
% 7.86/5.39 tff(1854,plain,
% 7.86/5.39 (~((~v1(constB174)) | (~v96(constB174)))),
% 7.86/5.39 inference(unit_resolution,[status(thm)],[1853, 1848])).
% 7.86/5.39 tff(1855,plain,
% 7.86/5.39 ((~(v95(constB174) <=> (~((~v1(constB174)) | (~v96(constB174)))))) | v95(constB174) | ((~v1(constB174)) | (~v96(constB174)))),
% 7.86/5.39 inference(tautology,[status(thm)],[])).
% 7.86/5.39 tff(1856,plain,
% 7.86/5.39 (v95(constB174)),
% 7.86/5.39 inference(unit_resolution,[status(thm)],[1855, 1854, 1832])).
% 7.86/5.39 tff(1857,plain,
% 7.86/5.39 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB173, constB174)) | (v104(constB174) <=> v102(constB173)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB173, constB174)) | (v104(constB174) <=> v102(constB173)))),
% 7.86/5.39 inference(rewrite,[status(thm)],[])).
% 7.86/5.39 tff(1858,plain,
% 7.86/5.39 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB173, constB174)) | (v104(constB174) <=> v102(constB173)))),
% 7.86/5.39 inference(quant_inst,[status(thm)],[])).
% 7.86/5.39 tff(1859,plain,
% 7.86/5.39 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB173, constB174)) | (v104(constB174) <=> v102(constB173))),
% 7.86/5.39 inference(modus_ponens,[status(thm)],[1858, 1857])).
% 7.86/5.39 tff(1860,plain,
% 7.86/5.39 (v104(constB174) <=> v102(constB173)),
% 7.86/5.39 inference(unit_resolution,[status(thm)],[1859, 1821, 904])).
% 7.86/5.39 tff(1861,plain,
% 7.86/5.39 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB173) <=> (v105(constB173) | v106(constB173)))),
% 7.86/5.39 inference(quant_inst,[status(thm)],[])).
% 7.86/5.39 tff(1862,plain,
% 7.86/5.39 (v102(constB173) <=> (v105(constB173) | v106(constB173))),
% 7.86/5.39 inference(unit_resolution,[status(thm)],[1861, 915])).
% 7.86/5.39 tff(1863,plain,
% 7.86/5.39 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB173) <=> (~((~v107(constB173)) | (~v120(constB173)))))),
% 7.86/5.39 inference(quant_inst,[status(thm)],[])).
% 7.86/5.39 tff(1864,plain,
% 7.86/5.39 (v106(constB173) <=> (~((~v107(constB173)) | (~v120(constB173))))),
% 7.86/5.39 inference(unit_resolution,[status(thm)],[1863, 927])).
% 7.86/5.39 tff(1865,plain,
% 7.86/5.39 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB173) <=> (v108(constB173) | v119(constB173)))),
% 7.86/5.39 inference(quant_inst,[status(thm)],[])).
% 7.86/5.39 tff(1866,plain,
% 7.86/5.39 (v107(constB173) <=> (v108(constB173) | v119(constB173))),
% 7.86/5.39 inference(unit_resolution,[status(thm)],[1865, 936])).
% 7.86/5.39 tff(1867,plain,
% 7.86/5.39 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB173) <=> (v109(constB173) | v118(constB173)))),
% 7.86/5.39 inference(quant_inst,[status(thm)],[])).
% 7.86/5.39 tff(1868,plain,
% 7.86/5.39 (v108(constB173) <=> (v109(constB173) | v118(constB173))),
% 7.86/5.39 inference(unit_resolution,[status(thm)],[1867, 945])).
% 7.86/5.39 tff(1869,plain,
% 7.86/5.39 ((~![VarCurr: $i] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB173) <=> (v110(constB173) | v117(constB173)))),
% 7.86/5.39 inference(quant_inst,[status(thm)],[])).
% 7.86/5.39 tff(1870,plain,
% 7.86/5.39 (v109(constB173) <=> (v110(constB173) | v117(constB173))),
% 7.86/5.39 inference(unit_resolution,[status(thm)],[1869, 1056])).
% 7.86/5.39 tff(1871,plain,
% 7.86/5.39 ((~![VarCurr: $i] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB173) <=> (v111(constB173) | v116(constB173)))),
% 7.86/5.39 inference(quant_inst,[status(thm)],[])).
% 7.86/5.39 tff(1872,plain,
% 7.86/5.39 (v110(constB173) <=> (v111(constB173) | v116(constB173))),
% 7.86/5.39 inference(unit_resolution,[status(thm)],[1871, 1169])).
% 7.86/5.39 tff(1873,plain,
% 7.86/5.39 ((~![VarCurr: $i] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB173) <=> (v112(constB173) | v115(constB173)))),
% 7.86/5.39 inference(quant_inst,[status(thm)],[])).
% 7.86/5.39 tff(1874,plain,
% 7.86/5.39 (v111(constB173) <=> (v112(constB173) | v115(constB173))),
% 7.86/5.39 inference(unit_resolution,[status(thm)],[1873, 1279])).
% 7.86/5.39 tff(1875,plain,
% 7.86/5.39 (((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB173) <=> (~(v84(constB173, bitIndex2) | (~v84(constB173, bitIndex1)) | v84(constB173, bitIndex0))))) <=> ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB173) <=> (~(v84(constB173, bitIndex2) | (~v84(constB173, bitIndex1)) | v84(constB173, bitIndex0)))))),
% 7.86/5.39 inference(rewrite,[status(thm)],[])).
% 7.86/5.39 tff(1876,plain,
% 7.86/5.39 ((v115(constB173) <=> (~(v84(constB173, bitIndex0) | v84(constB173, bitIndex2) | (~v84(constB173, bitIndex1))))) <=> (v115(constB173) <=> (~(v84(constB173, bitIndex2) | (~v84(constB173, bitIndex1)) | v84(constB173, bitIndex0))))),
% 7.86/5.39 inference(rewrite,[status(thm)],[])).
% 7.86/5.39 tff(1877,plain,
% 7.86/5.39 (((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB173) <=> (~(v84(constB173, bitIndex0) | v84(constB173, bitIndex2) | (~v84(constB173, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB173) <=> (~(v84(constB173, bitIndex2) | (~v84(constB173, bitIndex1)) | v84(constB173, bitIndex0)))))),
% 7.86/5.39 inference(monotonicity,[status(thm)],[1876])).
% 7.86/5.39 tff(1878,plain,
% 7.86/5.39 (((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB173) <=> (~(v84(constB173, bitIndex0) | v84(constB173, bitIndex2) | (~v84(constB173, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB173) <=> (~(v84(constB173, bitIndex2) | (~v84(constB173, bitIndex1)) | v84(constB173, bitIndex0)))))),
% 7.86/5.39 inference(transitivity,[status(thm)],[1877, 1875])).
% 7.86/5.39 tff(1879,plain,
% 7.86/5.39 ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB173) <=> (~(v84(constB173, bitIndex0) | v84(constB173, bitIndex2) | (~v84(constB173, bitIndex1)))))),
% 7.86/5.39 inference(quant_inst,[status(thm)],[])).
% 7.86/5.39 tff(1880,plain,
% 7.86/5.39 ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB173) <=> (~(v84(constB173, bitIndex2) | (~v84(constB173, bitIndex1)) | v84(constB173, bitIndex0))))),
% 7.86/5.39 inference(modus_ponens,[status(thm)],[1879, 1878])).
% 7.86/5.39 tff(1881,plain,
% 7.86/5.39 (v115(constB173) <=> (~(v84(constB173, bitIndex2) | (~v84(constB173, bitIndex1)) | v84(constB173, bitIndex0)))),
% 7.86/5.39 inference(unit_resolution,[status(thm)],[1880, 1294])).
% 7.86/5.39 tff(1882,plain,
% 7.86/5.39 (nextState(constB172, constB173) <=> nextState(constB172, constB173)),
% 7.86/5.39 inference(rewrite,[status(thm)],[])).
% 7.86/5.39 tff(1883,axiom,(nextState(constB172, constB173)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_172')).
% 7.86/5.39 tff(1884,plain,
% 7.86/5.39 (nextState(constB172, constB173)),
% 7.86/5.39 inference(modus_ponens,[status(thm)],[1883, 1882])).
% 7.86/5.39 tff(1885,plain,
% 7.86/5.39 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB172, constB173)) | (v94(constB173) <=> (~((~v104(constB173)) | (~v95(constB173))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB172, constB173)) | (v94(constB173) <=> (~((~v104(constB173)) | (~v95(constB173))))))),
% 7.86/5.39 inference(rewrite,[status(thm)],[])).
% 7.86/5.39 tff(1886,plain,
% 7.86/5.39 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB172, constB173)) | (v94(constB173) <=> (~((~v104(constB173)) | (~v95(constB173))))))),
% 7.86/5.39 inference(quant_inst,[status(thm)],[])).
% 7.86/5.39 tff(1887,plain,
% 7.86/5.39 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB172, constB173)) | (v94(constB173) <=> (~((~v104(constB173)) | (~v95(constB173)))))),
% 7.86/5.39 inference(modus_ponens,[status(thm)],[1886, 1885])).
% 7.86/5.39 tff(1888,plain,
% 7.86/5.39 (v94(constB173) <=> (~((~v104(constB173)) | (~v95(constB173))))),
% 7.86/5.39 inference(unit_resolution,[status(thm)],[1887, 1884, 775])).
% 7.86/5.39 tff(1889,plain,
% 7.86/5.39 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB172, constB173)) | (v95(constB173) <=> (~((~v1(constB173)) | (~v96(constB173))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB172, constB173)) | (v95(constB173) <=> (~((~v1(constB173)) | (~v96(constB173))))))),
% 7.86/5.39 inference(rewrite,[status(thm)],[])).
% 7.86/5.39 tff(1890,plain,
% 7.86/5.39 (((~nextState(constB172, constB173)) | (v95(constB173) <=> (~((~v96(constB173)) | (~v1(constB173)))))) <=> ((~nextState(constB172, constB173)) | (v95(constB173) <=> (~((~v1(constB173)) | (~v96(constB173))))))),
% 7.86/5.39 inference(rewrite,[status(thm)],[])).
% 7.86/5.39 tff(1891,plain,
% 7.86/5.39 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB172, constB173)) | (v95(constB173) <=> (~((~v96(constB173)) | (~v1(constB173))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB172, constB173)) | (v95(constB173) <=> (~((~v1(constB173)) | (~v96(constB173)))))))),
% 7.86/5.39 inference(monotonicity,[status(thm)],[1890])).
% 7.86/5.39 tff(1892,plain,
% 7.86/5.39 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB172, constB173)) | (v95(constB173) <=> (~((~v96(constB173)) | (~v1(constB173))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB172, constB173)) | (v95(constB173) <=> (~((~v1(constB173)) | (~v96(constB173))))))),
% 7.86/5.39 inference(transitivity,[status(thm)],[1891, 1889])).
% 7.86/5.39 tff(1893,plain,
% 7.86/5.39 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB172, constB173)) | (v95(constB173) <=> (~((~v96(constB173)) | (~v1(constB173))))))),
% 7.86/5.39 inference(quant_inst,[status(thm)],[])).
% 7.86/5.39 tff(1894,plain,
% 7.86/5.39 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB172, constB173)) | (v95(constB173) <=> (~((~v1(constB173)) | (~v96(constB173)))))),
% 7.86/5.39 inference(modus_ponens,[status(thm)],[1893, 1892])).
% 7.86/5.39 tff(1895,plain,
% 7.86/5.39 (v95(constB173) <=> (~((~v1(constB173)) | (~v96(constB173))))),
% 7.86/5.39 inference(unit_resolution,[status(thm)],[1894, 1884, 795])).
% 7.86/5.39 tff(1896,plain,
% 7.86/5.39 (((~v1(constB173)) | (~v96(constB173))) | v1(constB173)),
% 7.86/5.39 inference(tautology,[status(thm)],[])).
% 7.86/5.39 tff(1897,plain,
% 7.86/5.39 ((~v1(constB173)) | (~v96(constB173))),
% 7.86/5.39 inference(unit_resolution,[status(thm)],[1896, 1843])).
% 7.86/5.39 tff(1898,plain,
% 7.86/5.39 ((~(v95(constB173) <=> (~((~v1(constB173)) | (~v96(constB173)))))) | (~v95(constB173)) | (~((~v1(constB173)) | (~v96(constB173))))),
% 7.86/5.39 inference(tautology,[status(thm)],[])).
% 7.86/5.39 tff(1899,plain,
% 7.86/5.39 ((~(v95(constB173) <=> (~((~v1(constB173)) | (~v96(constB173)))))) | (~v95(constB173))),
% 7.86/5.39 inference(unit_resolution,[status(thm)],[1898, 1897])).
% 7.86/5.39 tff(1900,plain,
% 7.86/5.39 (~v95(constB173)),
% 7.86/5.39 inference(unit_resolution,[status(thm)],[1899, 1895])).
% 7.86/5.39 tff(1901,plain,
% 7.86/5.39 (((~v104(constB173)) | (~v95(constB173))) | v95(constB173)),
% 7.86/5.39 inference(tautology,[status(thm)],[])).
% 7.86/5.39 tff(1902,plain,
% 7.86/5.39 ((~v104(constB173)) | (~v95(constB173))),
% 7.86/5.39 inference(unit_resolution,[status(thm)],[1901, 1900])).
% 7.86/5.39 tff(1903,plain,
% 7.86/5.39 ((~(v94(constB173) <=> (~((~v104(constB173)) | (~v95(constB173)))))) | (~v94(constB173)) | (~((~v104(constB173)) | (~v95(constB173))))),
% 7.86/5.39 inference(tautology,[status(thm)],[])).
% 7.86/5.39 tff(1904,plain,
% 7.86/5.39 (~v94(constB173)),
% 7.86/5.39 inference(unit_resolution,[status(thm)],[1903, 1902, 1888])).
% 7.86/5.39 tff(1905,plain,
% 7.86/5.39 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB173) | (~nextState(constB172, constB173)) | ![B: $i] : ((~less_3(B)) | (v84(constB173, B) <=> v84(constB172, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB173) | (~nextState(constB172, constB173)) | ![B: $i] : ((~less_3(B)) | (v84(constB173, B) <=> v84(constB172, B))))),
% 7.86/5.39 inference(rewrite,[status(thm)],[])).
% 7.86/5.39 tff(1906,plain,
% 7.86/5.39 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB173) | (~nextState(constB172, constB173)) | ![B: $i] : ((~less_3(B)) | (v84(constB173, B) <=> v84(constB172, B))))),
% 7.86/5.39 inference(quant_inst,[status(thm)],[])).
% 7.86/5.39 tff(1907,plain,
% 7.86/5.39 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB173) | (~nextState(constB172, constB173)) | ![B: $i] : ((~less_3(B)) | (v84(constB173, B) <=> v84(constB172, B)))),
% 7.86/5.39 inference(modus_ponens,[status(thm)],[1906, 1905])).
% 7.86/5.39 tff(1908,plain,
% 7.86/5.39 (v94(constB173) | ![B: $i] : ((~less_3(B)) | (v84(constB173, B) <=> v84(constB172, B)))),
% 7.86/5.39 inference(unit_resolution,[status(thm)],[1907, 1884, 824])).
% 7.86/5.39 tff(1909,plain,
% 7.86/5.39 (![B: $i] : ((~less_3(B)) | (v84(constB173, B) <=> v84(constB172, B)))),
% 7.86/5.39 inference(unit_resolution,[status(thm)],[1908, 1904])).
% 7.86/5.39 tff(1910,plain,
% 7.86/5.39 (((~![B: $i] : ((~less_3(B)) | (v84(constB173, B) <=> v84(constB172, B)))) | ((~less_3(bitIndex2)) | (v84(constB173, bitIndex2) <=> v84(constB172, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB173, B) <=> v84(constB172, B)))) | (~less_3(bitIndex2)) | (v84(constB173, bitIndex2) <=> v84(constB172, bitIndex2)))),
% 7.86/5.39 inference(rewrite,[status(thm)],[])).
% 7.86/5.39 tff(1911,plain,
% 7.86/5.39 ((~![B: $i] : ((~less_3(B)) | (v84(constB173, B) <=> v84(constB172, B)))) | ((~less_3(bitIndex2)) | (v84(constB173, bitIndex2) <=> v84(constB172, bitIndex2)))),
% 7.86/5.39 inference(quant_inst,[status(thm)],[])).
% 7.86/5.39 tff(1912,plain,
% 7.86/5.39 ((~![B: $i] : ((~less_3(B)) | (v84(constB173, B) <=> v84(constB172, B)))) | (~less_3(bitIndex2)) | (v84(constB173, bitIndex2) <=> v84(constB172, bitIndex2))),
% 7.86/5.39 inference(modus_ponens,[status(thm)],[1911, 1910])).
% 7.86/5.39 tff(1913,plain,
% 7.86/5.39 (v84(constB173, bitIndex2) <=> v84(constB172, bitIndex2)),
% 7.86/5.39 inference(unit_resolution,[status(thm)],[1912, 832, 1909])).
% 7.86/5.39 tff(1914,plain,
% 7.86/5.39 (nextState(constB171, constB172) <=> nextState(constB171, constB172)),
% 7.86/5.39 inference(rewrite,[status(thm)],[])).
% 7.86/5.39 tff(1915,axiom,(nextState(constB171, constB172)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_171')).
% 7.86/5.39 tff(1916,plain,
% 7.86/5.39 (nextState(constB171, constB172)),
% 7.86/5.39 inference(modus_ponens,[status(thm)],[1915, 1914])).
% 7.86/5.39 tff(1917,plain,
% 7.86/5.39 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB171, constB172)) | (v94(constB172) <=> (~((~v104(constB172)) | (~v95(constB172))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB171, constB172)) | (v94(constB172) <=> (~((~v104(constB172)) | (~v95(constB172))))))),
% 7.86/5.39 inference(rewrite,[status(thm)],[])).
% 7.86/5.39 tff(1918,plain,
% 7.86/5.39 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB171, constB172)) | (v94(constB172) <=> (~((~v104(constB172)) | (~v95(constB172))))))),
% 7.86/5.39 inference(quant_inst,[status(thm)],[])).
% 7.86/5.39 tff(1919,plain,
% 7.86/5.39 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB171, constB172)) | (v94(constB172) <=> (~((~v104(constB172)) | (~v95(constB172)))))),
% 7.86/5.39 inference(modus_ponens,[status(thm)],[1918, 1917])).
% 7.86/5.39 tff(1920,plain,
% 7.86/5.39 (v94(constB172) <=> (~((~v104(constB172)) | (~v95(constB172))))),
% 7.86/5.39 inference(unit_resolution,[status(thm)],[1919, 1916, 775])).
% 7.86/5.39 tff(1921,plain,
% 7.86/5.39 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB171, constB172)) | (v95(constB172) <=> (~((~v1(constB172)) | (~v96(constB172))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB171, constB172)) | (v95(constB172) <=> (~((~v1(constB172)) | (~v96(constB172))))))),
% 7.86/5.39 inference(rewrite,[status(thm)],[])).
% 7.86/5.39 tff(1922,plain,
% 7.86/5.39 (((~nextState(constB171, constB172)) | (v95(constB172) <=> (~((~v96(constB172)) | (~v1(constB172)))))) <=> ((~nextState(constB171, constB172)) | (v95(constB172) <=> (~((~v1(constB172)) | (~v96(constB172))))))),
% 7.86/5.39 inference(rewrite,[status(thm)],[])).
% 7.86/5.39 tff(1923,plain,
% 7.86/5.39 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB171, constB172)) | (v95(constB172) <=> (~((~v96(constB172)) | (~v1(constB172))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB171, constB172)) | (v95(constB172) <=> (~((~v1(constB172)) | (~v96(constB172)))))))),
% 7.86/5.39 inference(monotonicity,[status(thm)],[1922])).
% 7.86/5.39 tff(1924,plain,
% 7.86/5.39 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB171, constB172)) | (v95(constB172) <=> (~((~v96(constB172)) | (~v1(constB172))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB171, constB172)) | (v95(constB172) <=> (~((~v1(constB172)) | (~v96(constB172))))))),
% 7.86/5.39 inference(transitivity,[status(thm)],[1923, 1921])).
% 7.86/5.39 tff(1925,plain,
% 7.86/5.39 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB171, constB172)) | (v95(constB172) <=> (~((~v96(constB172)) | (~v1(constB172))))))),
% 7.86/5.39 inference(quant_inst,[status(thm)],[])).
% 7.86/5.39 tff(1926,plain,
% 7.86/5.39 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB171, constB172)) | (v95(constB172) <=> (~((~v1(constB172)) | (~v96(constB172)))))),
% 7.86/5.39 inference(modus_ponens,[status(thm)],[1925, 1924])).
% 7.86/5.39 tff(1927,plain,
% 7.86/5.39 (v95(constB172) <=> (~((~v1(constB172)) | (~v96(constB172))))),
% 7.86/5.39 inference(unit_resolution,[status(thm)],[1926, 1916, 795])).
% 7.86/5.39 tff(1928,plain,
% 7.86/5.39 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB171, constB172)) | ((~v96(constB172)) <=> v98(constB172)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB171, constB172)) | ((~v96(constB172)) <=> v98(constB172)))),
% 7.86/5.39 inference(rewrite,[status(thm)],[])).
% 7.86/5.39 tff(1929,plain,
% 7.86/5.39 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB171, constB172)) | ((~v96(constB172)) <=> v98(constB172)))),
% 7.86/5.39 inference(quant_inst,[status(thm)],[])).
% 7.86/5.39 tff(1930,plain,
% 7.86/5.39 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB171, constB172)) | ((~v96(constB172)) <=> v98(constB172))),
% 7.86/5.39 inference(modus_ponens,[status(thm)],[1929, 1928])).
% 7.86/5.39 tff(1931,plain,
% 7.86/5.39 ((~v96(constB172)) <=> v98(constB172)),
% 7.86/5.39 inference(unit_resolution,[status(thm)],[1930, 1916, 860])).
% 7.86/5.39 tff(1932,plain,
% 7.86/5.39 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB171, constB172)) | (v98(constB172) <=> v1(constB171)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB171, constB172)) | (v98(constB172) <=> v1(constB171)))),
% 7.86/5.39 inference(rewrite,[status(thm)],[])).
% 7.86/5.39 tff(1933,plain,
% 7.86/5.39 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB171, constB172)) | (v98(constB172) <=> v1(constB171)))),
% 7.86/5.39 inference(quant_inst,[status(thm)],[])).
% 7.86/5.39 tff(1934,plain,
% 7.86/5.39 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB171, constB172)) | (v98(constB172) <=> v1(constB171))),
% 7.86/5.39 inference(modus_ponens,[status(thm)],[1933, 1932])).
% 7.86/5.39 tff(1935,plain,
% 7.86/5.39 (v98(constB172) <=> v1(constB171)),
% 7.86/5.39 inference(unit_resolution,[status(thm)],[1934, 1916, 874])).
% 7.86/5.39 tff(1936,plain,
% 7.86/5.39 ((~v1(constB171)) <=> (~v1(constB171))),
% 7.86/5.39 inference(rewrite,[status(thm)],[])).
% 7.86/5.39 tff(1937,axiom,(~v1(constB171)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_171')).
% 7.86/5.39 tff(1938,plain,
% 7.86/5.39 (~v1(constB171)),
% 7.86/5.39 inference(modus_ponens,[status(thm)],[1937, 1936])).
% 7.86/5.39 tff(1939,plain,
% 7.86/5.39 ((~(v98(constB172) <=> v1(constB171))) | (~v98(constB172)) | v1(constB171)),
% 7.86/5.39 inference(tautology,[status(thm)],[])).
% 7.86/5.39 tff(1940,plain,
% 7.86/5.39 ((~(v98(constB172) <=> v1(constB171))) | (~v98(constB172))),
% 7.86/5.39 inference(unit_resolution,[status(thm)],[1939, 1938])).
% 7.86/5.39 tff(1941,plain,
% 7.86/5.39 (~v98(constB172)),
% 7.86/5.39 inference(unit_resolution,[status(thm)],[1940, 1935])).
% 7.86/5.39 tff(1942,plain,
% 7.86/5.39 ((~((~v96(constB172)) <=> v98(constB172))) | v96(constB172) | v98(constB172)),
% 7.86/5.39 inference(tautology,[status(thm)],[])).
% 7.86/5.39 tff(1943,plain,
% 7.86/5.39 (v96(constB172)),
% 7.86/5.39 inference(unit_resolution,[status(thm)],[1942, 1941, 1931])).
% 7.86/5.39 tff(1944,plain,
% 7.86/5.39 (v1(constB172) <=> v1(constB172)),
% 7.86/5.39 inference(rewrite,[status(thm)],[])).
% 7.86/5.39 tff(1945,axiom,(v1(constB172)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_172')).
% 7.86/5.39 tff(1946,plain,
% 7.86/5.39 (v1(constB172)),
% 7.86/5.39 inference(modus_ponens,[status(thm)],[1945, 1944])).
% 7.86/5.39 tff(1947,plain,
% 7.86/5.39 ((~((~v1(constB172)) | (~v96(constB172)))) | (~v1(constB172)) | (~v96(constB172))),
% 7.86/5.39 inference(tautology,[status(thm)],[])).
% 7.86/5.39 tff(1948,plain,
% 7.86/5.39 ((~((~v1(constB172)) | (~v96(constB172)))) | (~v96(constB172))),
% 7.86/5.39 inference(unit_resolution,[status(thm)],[1947, 1946])).
% 7.86/5.39 tff(1949,plain,
% 7.86/5.39 (~((~v1(constB172)) | (~v96(constB172)))),
% 7.86/5.39 inference(unit_resolution,[status(thm)],[1948, 1943])).
% 7.86/5.39 tff(1950,plain,
% 7.86/5.39 ((~(v95(constB172) <=> (~((~v1(constB172)) | (~v96(constB172)))))) | v95(constB172) | ((~v1(constB172)) | (~v96(constB172)))),
% 7.86/5.39 inference(tautology,[status(thm)],[])).
% 7.86/5.39 tff(1951,plain,
% 7.86/5.39 (v95(constB172)),
% 7.86/5.39 inference(unit_resolution,[status(thm)],[1950, 1949, 1927])).
% 7.86/5.39 tff(1952,plain,
% 7.86/5.39 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB171, constB172)) | (v104(constB172) <=> v102(constB171)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB171, constB172)) | (v104(constB172) <=> v102(constB171)))),
% 7.86/5.39 inference(rewrite,[status(thm)],[])).
% 7.86/5.39 tff(1953,plain,
% 7.86/5.39 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB171, constB172)) | (v104(constB172) <=> v102(constB171)))),
% 7.86/5.39 inference(quant_inst,[status(thm)],[])).
% 7.86/5.39 tff(1954,plain,
% 7.86/5.39 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB171, constB172)) | (v104(constB172) <=> v102(constB171))),
% 7.86/5.39 inference(modus_ponens,[status(thm)],[1953, 1952])).
% 7.86/5.39 tff(1955,plain,
% 7.86/5.39 (v104(constB172) <=> v102(constB171)),
% 7.86/5.40 inference(unit_resolution,[status(thm)],[1954, 1916, 904])).
% 7.86/5.40 tff(1956,plain,
% 7.86/5.40 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB171) <=> (v105(constB171) | v106(constB171)))),
% 7.86/5.40 inference(quant_inst,[status(thm)],[])).
% 7.86/5.40 tff(1957,plain,
% 7.86/5.40 (v102(constB171) <=> (v105(constB171) | v106(constB171))),
% 7.86/5.40 inference(unit_resolution,[status(thm)],[1956, 915])).
% 7.86/5.40 tff(1958,plain,
% 7.86/5.40 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB171) <=> (~((~v107(constB171)) | (~v120(constB171)))))),
% 7.86/5.40 inference(quant_inst,[status(thm)],[])).
% 7.86/5.40 tff(1959,plain,
% 7.86/5.40 (v106(constB171) <=> (~((~v107(constB171)) | (~v120(constB171))))),
% 7.86/5.40 inference(unit_resolution,[status(thm)],[1958, 927])).
% 7.86/5.40 tff(1960,plain,
% 7.86/5.40 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB171) <=> (v108(constB171) | v119(constB171)))),
% 7.86/5.40 inference(quant_inst,[status(thm)],[])).
% 7.86/5.40 tff(1961,plain,
% 7.86/5.40 (v107(constB171) <=> (v108(constB171) | v119(constB171))),
% 7.86/5.40 inference(unit_resolution,[status(thm)],[1960, 936])).
% 7.86/5.40 tff(1962,plain,
% 7.86/5.40 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB171) <=> (v109(constB171) | v118(constB171)))),
% 7.86/5.40 inference(quant_inst,[status(thm)],[])).
% 7.86/5.40 tff(1963,plain,
% 7.86/5.40 (v108(constB171) <=> (v109(constB171) | v118(constB171))),
% 7.86/5.40 inference(unit_resolution,[status(thm)],[1962, 945])).
% 7.86/5.40 tff(1964,plain,
% 7.86/5.40 ((~![VarCurr: $i] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB171) <=> (v110(constB171) | v117(constB171)))),
% 7.86/5.40 inference(quant_inst,[status(thm)],[])).
% 7.86/5.40 tff(1965,plain,
% 7.86/5.40 (v109(constB171) <=> (v110(constB171) | v117(constB171))),
% 7.86/5.40 inference(unit_resolution,[status(thm)],[1964, 1056])).
% 7.86/5.40 tff(1966,plain,
% 7.86/5.40 ((~![VarCurr: $i] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB171) <=> (v111(constB171) | v116(constB171)))),
% 7.86/5.40 inference(quant_inst,[status(thm)],[])).
% 7.86/5.40 tff(1967,plain,
% 7.86/5.40 (v110(constB171) <=> (v111(constB171) | v116(constB171))),
% 7.86/5.40 inference(unit_resolution,[status(thm)],[1966, 1169])).
% 7.86/5.40 tff(1968,plain,
% 7.86/5.40 ((~![VarCurr: $i] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB171) <=> (v112(constB171) | v115(constB171)))),
% 7.86/5.40 inference(quant_inst,[status(thm)],[])).
% 7.86/5.40 tff(1969,plain,
% 7.86/5.40 (v111(constB171) <=> (v112(constB171) | v115(constB171))),
% 7.86/5.40 inference(unit_resolution,[status(thm)],[1968, 1279])).
% 7.86/5.40 tff(1970,plain,
% 7.86/5.40 ((~![VarCurr: $i] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))) | (v112(constB171) <=> (v113(constB171) | v114(constB171)))),
% 7.86/5.40 inference(quant_inst,[status(thm)],[])).
% 7.86/5.40 tff(1971,plain,
% 7.86/5.40 (v112(constB171) <=> (v113(constB171) | v114(constB171))),
% 7.86/5.40 inference(unit_resolution,[status(thm)],[1970, 1396])).
% 7.86/5.40 tff(1972,plain,
% 7.86/5.40 (((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB171) <=> (~(v84(constB171, bitIndex2) | v84(constB171, bitIndex1) | (~v84(constB171, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB171) <=> (~(v84(constB171, bitIndex2) | v84(constB171, bitIndex1) | (~v84(constB171, bitIndex0))))))),
% 7.86/5.40 inference(rewrite,[status(thm)],[])).
% 7.86/5.40 tff(1973,plain,
% 7.86/5.40 ((v114(constB171) <=> (~(v84(constB171, bitIndex1) | v84(constB171, bitIndex2) | (~v84(constB171, bitIndex0))))) <=> (v114(constB171) <=> (~(v84(constB171, bitIndex2) | v84(constB171, bitIndex1) | (~v84(constB171, bitIndex0)))))),
% 7.86/5.40 inference(rewrite,[status(thm)],[])).
% 7.86/5.40 tff(1974,plain,
% 7.86/5.40 (((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB171) <=> (~(v84(constB171, bitIndex1) | v84(constB171, bitIndex2) | (~v84(constB171, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB171) <=> (~(v84(constB171, bitIndex2) | v84(constB171, bitIndex1) | (~v84(constB171, bitIndex0))))))),
% 7.86/5.40 inference(monotonicity,[status(thm)],[1973])).
% 7.86/5.40 tff(1975,plain,
% 7.86/5.40 (((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB171) <=> (~(v84(constB171, bitIndex1) | v84(constB171, bitIndex2) | (~v84(constB171, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB171) <=> (~(v84(constB171, bitIndex2) | v84(constB171, bitIndex1) | (~v84(constB171, bitIndex0))))))),
% 7.86/5.40 inference(transitivity,[status(thm)],[1974, 1972])).
% 7.86/5.40 tff(1976,plain,
% 7.86/5.40 ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB171) <=> (~(v84(constB171, bitIndex1) | v84(constB171, bitIndex2) | (~v84(constB171, bitIndex0)))))),
% 7.86/5.40 inference(quant_inst,[status(thm)],[])).
% 7.86/5.40 tff(1977,plain,
% 7.86/5.40 ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB171) <=> (~(v84(constB171, bitIndex2) | v84(constB171, bitIndex1) | (~v84(constB171, bitIndex0)))))),
% 7.86/5.40 inference(modus_ponens,[status(thm)],[1976, 1975])).
% 7.86/5.40 tff(1978,plain,
% 7.86/5.40 (v114(constB171) <=> (~(v84(constB171, bitIndex2) | v84(constB171, bitIndex1) | (~v84(constB171, bitIndex0))))),
% 7.86/5.40 inference(unit_resolution,[status(thm)],[1977, 1411])).
% 7.86/5.40 tff(1979,plain,
% 7.86/5.40 (nextState(constB170, constB171) <=> nextState(constB170, constB171)),
% 7.86/5.40 inference(rewrite,[status(thm)],[])).
% 7.86/5.40 tff(1980,axiom,(nextState(constB170, constB171)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_170')).
% 7.86/5.40 tff(1981,plain,
% 7.86/5.40 (nextState(constB170, constB171)),
% 7.86/5.40 inference(modus_ponens,[status(thm)],[1980, 1979])).
% 7.86/5.40 tff(1982,plain,
% 7.86/5.40 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB170, constB171)) | (v94(constB171) <=> (~((~v104(constB171)) | (~v95(constB171))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB170, constB171)) | (v94(constB171) <=> (~((~v104(constB171)) | (~v95(constB171))))))),
% 7.86/5.40 inference(rewrite,[status(thm)],[])).
% 7.86/5.40 tff(1983,plain,
% 7.86/5.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB170, constB171)) | (v94(constB171) <=> (~((~v104(constB171)) | (~v95(constB171))))))),
% 7.86/5.40 inference(quant_inst,[status(thm)],[])).
% 7.86/5.40 tff(1984,plain,
% 7.86/5.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB170, constB171)) | (v94(constB171) <=> (~((~v104(constB171)) | (~v95(constB171)))))),
% 7.86/5.40 inference(modus_ponens,[status(thm)],[1983, 1982])).
% 7.86/5.40 tff(1985,plain,
% 7.86/5.40 (v94(constB171) <=> (~((~v104(constB171)) | (~v95(constB171))))),
% 7.86/5.40 inference(unit_resolution,[status(thm)],[1984, 1981, 775])).
% 7.86/5.40 tff(1986,plain,
% 7.86/5.40 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB170, constB171)) | (v95(constB171) <=> (~((~v1(constB171)) | (~v96(constB171))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB170, constB171)) | (v95(constB171) <=> (~((~v1(constB171)) | (~v96(constB171))))))),
% 7.86/5.40 inference(rewrite,[status(thm)],[])).
% 7.86/5.40 tff(1987,plain,
% 7.86/5.40 (((~nextState(constB170, constB171)) | (v95(constB171) <=> (~((~v96(constB171)) | (~v1(constB171)))))) <=> ((~nextState(constB170, constB171)) | (v95(constB171) <=> (~((~v1(constB171)) | (~v96(constB171))))))),
% 7.86/5.40 inference(rewrite,[status(thm)],[])).
% 7.86/5.40 tff(1988,plain,
% 7.86/5.40 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB170, constB171)) | (v95(constB171) <=> (~((~v96(constB171)) | (~v1(constB171))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB170, constB171)) | (v95(constB171) <=> (~((~v1(constB171)) | (~v96(constB171)))))))),
% 7.86/5.40 inference(monotonicity,[status(thm)],[1987])).
% 7.86/5.40 tff(1989,plain,
% 7.86/5.40 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB170, constB171)) | (v95(constB171) <=> (~((~v96(constB171)) | (~v1(constB171))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB170, constB171)) | (v95(constB171) <=> (~((~v1(constB171)) | (~v96(constB171))))))),
% 7.86/5.40 inference(transitivity,[status(thm)],[1988, 1986])).
% 7.86/5.40 tff(1990,plain,
% 7.86/5.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB170, constB171)) | (v95(constB171) <=> (~((~v96(constB171)) | (~v1(constB171))))))),
% 7.86/5.40 inference(quant_inst,[status(thm)],[])).
% 7.86/5.40 tff(1991,plain,
% 7.86/5.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB170, constB171)) | (v95(constB171) <=> (~((~v1(constB171)) | (~v96(constB171)))))),
% 7.86/5.40 inference(modus_ponens,[status(thm)],[1990, 1989])).
% 7.86/5.40 tff(1992,plain,
% 7.86/5.40 (v95(constB171) <=> (~((~v1(constB171)) | (~v96(constB171))))),
% 7.86/5.40 inference(unit_resolution,[status(thm)],[1991, 1981, 795])).
% 7.86/5.40 tff(1993,plain,
% 7.86/5.40 (((~v1(constB171)) | (~v96(constB171))) | v1(constB171)),
% 7.86/5.40 inference(tautology,[status(thm)],[])).
% 7.86/5.40 tff(1994,plain,
% 7.86/5.40 ((~v1(constB171)) | (~v96(constB171))),
% 7.86/5.40 inference(unit_resolution,[status(thm)],[1993, 1938])).
% 7.86/5.40 tff(1995,plain,
% 7.86/5.40 ((~(v95(constB171) <=> (~((~v1(constB171)) | (~v96(constB171)))))) | (~v95(constB171)) | (~((~v1(constB171)) | (~v96(constB171))))),
% 7.86/5.40 inference(tautology,[status(thm)],[])).
% 7.86/5.40 tff(1996,plain,
% 7.86/5.40 ((~(v95(constB171) <=> (~((~v1(constB171)) | (~v96(constB171)))))) | (~v95(constB171))),
% 7.86/5.40 inference(unit_resolution,[status(thm)],[1995, 1994])).
% 7.86/5.40 tff(1997,plain,
% 7.86/5.40 (~v95(constB171)),
% 7.86/5.40 inference(unit_resolution,[status(thm)],[1996, 1992])).
% 7.86/5.40 tff(1998,plain,
% 7.86/5.40 (((~v104(constB171)) | (~v95(constB171))) | v95(constB171)),
% 7.86/5.40 inference(tautology,[status(thm)],[])).
% 7.86/5.40 tff(1999,plain,
% 7.86/5.40 ((~v104(constB171)) | (~v95(constB171))),
% 7.86/5.40 inference(unit_resolution,[status(thm)],[1998, 1997])).
% 7.86/5.40 tff(2000,plain,
% 7.86/5.40 ((~(v94(constB171) <=> (~((~v104(constB171)) | (~v95(constB171)))))) | (~v94(constB171)) | (~((~v104(constB171)) | (~v95(constB171))))),
% 7.86/5.40 inference(tautology,[status(thm)],[])).
% 7.86/5.40 tff(2001,plain,
% 7.86/5.40 (~v94(constB171)),
% 7.86/5.40 inference(unit_resolution,[status(thm)],[2000, 1999, 1985])).
% 7.86/5.40 tff(2002,plain,
% 7.86/5.40 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB171) | (~nextState(constB170, constB171)) | ![B: $i] : ((~less_3(B)) | (v84(constB171, B) <=> v84(constB170, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB171) | (~nextState(constB170, constB171)) | ![B: $i] : ((~less_3(B)) | (v84(constB171, B) <=> v84(constB170, B))))),
% 7.86/5.40 inference(rewrite,[status(thm)],[])).
% 7.86/5.40 tff(2003,plain,
% 7.86/5.40 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB171) | (~nextState(constB170, constB171)) | ![B: $i] : ((~less_3(B)) | (v84(constB171, B) <=> v84(constB170, B))))),
% 7.86/5.40 inference(quant_inst,[status(thm)],[])).
% 7.86/5.40 tff(2004,plain,
% 7.86/5.40 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB171) | (~nextState(constB170, constB171)) | ![B: $i] : ((~less_3(B)) | (v84(constB171, B) <=> v84(constB170, B)))),
% 7.86/5.40 inference(modus_ponens,[status(thm)],[2003, 2002])).
% 7.86/5.40 tff(2005,plain,
% 7.86/5.40 (v94(constB171) | ![B: $i] : ((~less_3(B)) | (v84(constB171, B) <=> v84(constB170, B)))),
% 7.86/5.40 inference(unit_resolution,[status(thm)],[2004, 1981, 824])).
% 7.86/5.40 tff(2006,plain,
% 7.86/5.40 (![B: $i] : ((~less_3(B)) | (v84(constB171, B) <=> v84(constB170, B)))),
% 7.86/5.40 inference(unit_resolution,[status(thm)],[2005, 2001])).
% 7.86/5.40 tff(2007,plain,
% 7.86/5.40 (((~![B: $i] : ((~less_3(B)) | (v84(constB171, B) <=> v84(constB170, B)))) | ((~less_3(bitIndex2)) | (v84(constB171, bitIndex2) <=> v84(constB170, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB171, B) <=> v84(constB170, B)))) | (~less_3(bitIndex2)) | (v84(constB171, bitIndex2) <=> v84(constB170, bitIndex2)))),
% 7.86/5.40 inference(rewrite,[status(thm)],[])).
% 7.86/5.40 tff(2008,plain,
% 7.86/5.40 ((~![B: $i] : ((~less_3(B)) | (v84(constB171, B) <=> v84(constB170, B)))) | ((~less_3(bitIndex2)) | (v84(constB171, bitIndex2) <=> v84(constB170, bitIndex2)))),
% 7.86/5.40 inference(quant_inst,[status(thm)],[])).
% 7.86/5.40 tff(2009,plain,
% 7.86/5.40 ((~![B: $i] : ((~less_3(B)) | (v84(constB171, B) <=> v84(constB170, B)))) | (~less_3(bitIndex2)) | (v84(constB171, bitIndex2) <=> v84(constB170, bitIndex2))),
% 7.86/5.40 inference(modus_ponens,[status(thm)],[2008, 2007])).
% 7.86/5.40 tff(2010,plain,
% 7.86/5.40 (v84(constB171, bitIndex2) <=> v84(constB170, bitIndex2)),
% 7.86/5.40 inference(unit_resolution,[status(thm)],[2009, 832, 2006])).
% 7.86/5.40 tff(2011,plain,
% 7.86/5.40 (nextState(constB169, constB170) <=> nextState(constB169, constB170)),
% 7.86/5.40 inference(rewrite,[status(thm)],[])).
% 7.86/5.40 tff(2012,axiom,(nextState(constB169, constB170)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_169')).
% 7.86/5.40 tff(2013,plain,
% 7.86/5.40 (nextState(constB169, constB170)),
% 7.86/5.40 inference(modus_ponens,[status(thm)],[2012, 2011])).
% 7.86/5.40 tff(2014,plain,
% 7.86/5.40 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB169, constB170)) | (v94(constB170) <=> (~((~v104(constB170)) | (~v95(constB170))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB169, constB170)) | (v94(constB170) <=> (~((~v104(constB170)) | (~v95(constB170))))))),
% 7.86/5.40 inference(rewrite,[status(thm)],[])).
% 7.86/5.40 tff(2015,plain,
% 7.86/5.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB169, constB170)) | (v94(constB170) <=> (~((~v104(constB170)) | (~v95(constB170))))))),
% 7.86/5.40 inference(quant_inst,[status(thm)],[])).
% 7.86/5.40 tff(2016,plain,
% 7.86/5.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB169, constB170)) | (v94(constB170) <=> (~((~v104(constB170)) | (~v95(constB170)))))),
% 7.86/5.40 inference(modus_ponens,[status(thm)],[2015, 2014])).
% 7.86/5.40 tff(2017,plain,
% 7.86/5.40 (v94(constB170) <=> (~((~v104(constB170)) | (~v95(constB170))))),
% 7.86/5.40 inference(unit_resolution,[status(thm)],[2016, 2013, 775])).
% 7.86/5.40 tff(2018,plain,
% 7.86/5.40 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB169, constB170)) | (v95(constB170) <=> (~((~v1(constB170)) | (~v96(constB170))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB169, constB170)) | (v95(constB170) <=> (~((~v1(constB170)) | (~v96(constB170))))))),
% 7.86/5.40 inference(rewrite,[status(thm)],[])).
% 7.86/5.40 tff(2019,plain,
% 7.86/5.40 (((~nextState(constB169, constB170)) | (v95(constB170) <=> (~((~v96(constB170)) | (~v1(constB170)))))) <=> ((~nextState(constB169, constB170)) | (v95(constB170) <=> (~((~v1(constB170)) | (~v96(constB170))))))),
% 7.86/5.40 inference(rewrite,[status(thm)],[])).
% 7.86/5.40 tff(2020,plain,
% 7.86/5.40 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB169, constB170)) | (v95(constB170) <=> (~((~v96(constB170)) | (~v1(constB170))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB169, constB170)) | (v95(constB170) <=> (~((~v1(constB170)) | (~v96(constB170)))))))),
% 7.86/5.40 inference(monotonicity,[status(thm)],[2019])).
% 7.86/5.40 tff(2021,plain,
% 7.86/5.40 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB169, constB170)) | (v95(constB170) <=> (~((~v96(constB170)) | (~v1(constB170))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB169, constB170)) | (v95(constB170) <=> (~((~v1(constB170)) | (~v96(constB170))))))),
% 7.86/5.40 inference(transitivity,[status(thm)],[2020, 2018])).
% 7.86/5.40 tff(2022,plain,
% 7.86/5.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB169, constB170)) | (v95(constB170) <=> (~((~v96(constB170)) | (~v1(constB170))))))),
% 7.86/5.40 inference(quant_inst,[status(thm)],[])).
% 7.86/5.40 tff(2023,plain,
% 7.86/5.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB169, constB170)) | (v95(constB170) <=> (~((~v1(constB170)) | (~v96(constB170)))))),
% 7.86/5.40 inference(modus_ponens,[status(thm)],[2022, 2021])).
% 7.86/5.40 tff(2024,plain,
% 7.86/5.40 (v95(constB170) <=> (~((~v1(constB170)) | (~v96(constB170))))),
% 7.86/5.40 inference(unit_resolution,[status(thm)],[2023, 2013, 795])).
% 7.86/5.40 tff(2025,plain,
% 7.86/5.40 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB169, constB170)) | ((~v96(constB170)) <=> v98(constB170)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB169, constB170)) | ((~v96(constB170)) <=> v98(constB170)))),
% 7.86/5.40 inference(rewrite,[status(thm)],[])).
% 7.86/5.40 tff(2026,plain,
% 7.86/5.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB169, constB170)) | ((~v96(constB170)) <=> v98(constB170)))),
% 7.86/5.40 inference(quant_inst,[status(thm)],[])).
% 7.86/5.40 tff(2027,plain,
% 7.86/5.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB169, constB170)) | ((~v96(constB170)) <=> v98(constB170))),
% 7.86/5.40 inference(modus_ponens,[status(thm)],[2026, 2025])).
% 7.86/5.40 tff(2028,plain,
% 7.86/5.40 ((~v96(constB170)) <=> v98(constB170)),
% 7.86/5.40 inference(unit_resolution,[status(thm)],[2027, 2013, 860])).
% 7.86/5.40 tff(2029,plain,
% 7.86/5.40 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB169, constB170)) | (v98(constB170) <=> v1(constB169)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB169, constB170)) | (v98(constB170) <=> v1(constB169)))),
% 7.86/5.40 inference(rewrite,[status(thm)],[])).
% 7.86/5.40 tff(2030,plain,
% 7.86/5.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB169, constB170)) | (v98(constB170) <=> v1(constB169)))),
% 7.86/5.40 inference(quant_inst,[status(thm)],[])).
% 7.86/5.40 tff(2031,plain,
% 7.86/5.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB169, constB170)) | (v98(constB170) <=> v1(constB169))),
% 7.86/5.40 inference(modus_ponens,[status(thm)],[2030, 2029])).
% 7.86/5.40 tff(2032,plain,
% 7.86/5.40 (v98(constB170) <=> v1(constB169)),
% 7.86/5.40 inference(unit_resolution,[status(thm)],[2031, 2013, 874])).
% 7.86/5.40 tff(2033,plain,
% 7.86/5.40 ((~v1(constB169)) <=> (~v1(constB169))),
% 7.86/5.40 inference(rewrite,[status(thm)],[])).
% 7.86/5.40 tff(2034,axiom,(~v1(constB169)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_169')).
% 7.86/5.40 tff(2035,plain,
% 7.86/5.40 (~v1(constB169)),
% 7.86/5.40 inference(modus_ponens,[status(thm)],[2034, 2033])).
% 7.86/5.40 tff(2036,plain,
% 7.86/5.40 ((~(v98(constB170) <=> v1(constB169))) | (~v98(constB170)) | v1(constB169)),
% 7.86/5.40 inference(tautology,[status(thm)],[])).
% 7.86/5.40 tff(2037,plain,
% 7.86/5.40 ((~(v98(constB170) <=> v1(constB169))) | (~v98(constB170))),
% 7.86/5.40 inference(unit_resolution,[status(thm)],[2036, 2035])).
% 7.86/5.40 tff(2038,plain,
% 7.86/5.40 (~v98(constB170)),
% 7.86/5.40 inference(unit_resolution,[status(thm)],[2037, 2032])).
% 7.86/5.40 tff(2039,plain,
% 7.86/5.40 ((~((~v96(constB170)) <=> v98(constB170))) | v96(constB170) | v98(constB170)),
% 7.86/5.40 inference(tautology,[status(thm)],[])).
% 7.86/5.40 tff(2040,plain,
% 7.86/5.40 (v96(constB170)),
% 7.86/5.40 inference(unit_resolution,[status(thm)],[2039, 2038, 2028])).
% 7.86/5.40 tff(2041,plain,
% 7.86/5.40 (v1(constB170) <=> v1(constB170)),
% 7.86/5.40 inference(rewrite,[status(thm)],[])).
% 7.86/5.40 tff(2042,axiom,(v1(constB170)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_170')).
% 7.86/5.40 tff(2043,plain,
% 7.86/5.40 (v1(constB170)),
% 7.86/5.40 inference(modus_ponens,[status(thm)],[2042, 2041])).
% 7.86/5.40 tff(2044,plain,
% 7.86/5.40 ((~((~v1(constB170)) | (~v96(constB170)))) | (~v1(constB170)) | (~v96(constB170))),
% 7.86/5.40 inference(tautology,[status(thm)],[])).
% 7.86/5.40 tff(2045,plain,
% 7.86/5.40 ((~((~v1(constB170)) | (~v96(constB170)))) | (~v96(constB170))),
% 7.86/5.40 inference(unit_resolution,[status(thm)],[2044, 2043])).
% 7.86/5.40 tff(2046,plain,
% 7.86/5.40 (~((~v1(constB170)) | (~v96(constB170)))),
% 7.86/5.40 inference(unit_resolution,[status(thm)],[2045, 2040])).
% 7.86/5.40 tff(2047,plain,
% 7.86/5.40 ((~(v95(constB170) <=> (~((~v1(constB170)) | (~v96(constB170)))))) | v95(constB170) | ((~v1(constB170)) | (~v96(constB170)))),
% 7.86/5.40 inference(tautology,[status(thm)],[])).
% 7.86/5.40 tff(2048,plain,
% 7.86/5.40 (v95(constB170)),
% 7.86/5.40 inference(unit_resolution,[status(thm)],[2047, 2046, 2024])).
% 7.86/5.40 tff(2049,plain,
% 7.86/5.40 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB169, constB170)) | (v104(constB170) <=> v102(constB169)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB169, constB170)) | (v104(constB170) <=> v102(constB169)))),
% 7.86/5.40 inference(rewrite,[status(thm)],[])).
% 7.86/5.40 tff(2050,plain,
% 7.86/5.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB169, constB170)) | (v104(constB170) <=> v102(constB169)))),
% 7.86/5.40 inference(quant_inst,[status(thm)],[])).
% 7.86/5.40 tff(2051,plain,
% 7.86/5.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB169, constB170)) | (v104(constB170) <=> v102(constB169))),
% 7.86/5.40 inference(modus_ponens,[status(thm)],[2050, 2049])).
% 7.86/5.40 tff(2052,plain,
% 7.86/5.40 (v104(constB170) <=> v102(constB169)),
% 7.86/5.40 inference(unit_resolution,[status(thm)],[2051, 2013, 904])).
% 7.86/5.40 tff(2053,plain,
% 7.86/5.40 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB169) <=> (v105(constB169) | v106(constB169)))),
% 7.86/5.40 inference(quant_inst,[status(thm)],[])).
% 7.86/5.40 tff(2054,plain,
% 7.86/5.40 (v102(constB169) <=> (v105(constB169) | v106(constB169))),
% 7.86/5.40 inference(unit_resolution,[status(thm)],[2053, 915])).
% 7.86/5.40 tff(2055,plain,
% 7.86/5.40 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB169) <=> (~((~v107(constB169)) | (~v120(constB169)))))),
% 7.86/5.40 inference(quant_inst,[status(thm)],[])).
% 7.86/5.40 tff(2056,plain,
% 7.86/5.40 (v106(constB169) <=> (~((~v107(constB169)) | (~v120(constB169))))),
% 7.86/5.40 inference(unit_resolution,[status(thm)],[2055, 927])).
% 7.86/5.40 tff(2057,plain,
% 7.86/5.40 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB169) <=> (v108(constB169) | v119(constB169)))),
% 7.86/5.40 inference(quant_inst,[status(thm)],[])).
% 7.86/5.40 tff(2058,plain,
% 7.86/5.40 (v107(constB169) <=> (v108(constB169) | v119(constB169))),
% 7.86/5.40 inference(unit_resolution,[status(thm)],[2057, 936])).
% 7.86/5.40 tff(2059,plain,
% 7.86/5.40 (((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB169) <=> (~((~v84(constB169, bitIndex2)) | (~v84(constB169, bitIndex1)) | v84(constB169, bitIndex0))))) <=> ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB169) <=> (~((~v84(constB169, bitIndex2)) | (~v84(constB169, bitIndex1)) | v84(constB169, bitIndex0)))))),
% 7.86/5.40 inference(rewrite,[status(thm)],[])).
% 7.86/5.40 tff(2060,plain,
% 7.86/5.40 ((v119(constB169) <=> (~(v84(constB169, bitIndex0) | (~v84(constB169, bitIndex1)) | (~v84(constB169, bitIndex2))))) <=> (v119(constB169) <=> (~((~v84(constB169, bitIndex2)) | (~v84(constB169, bitIndex1)) | v84(constB169, bitIndex0))))),
% 7.86/5.40 inference(rewrite,[status(thm)],[])).
% 7.86/5.40 tff(2061,plain,
% 7.86/5.40 (((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB169) <=> (~(v84(constB169, bitIndex0) | (~v84(constB169, bitIndex1)) | (~v84(constB169, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB169) <=> (~((~v84(constB169, bitIndex2)) | (~v84(constB169, bitIndex1)) | v84(constB169, bitIndex0)))))),
% 7.86/5.40 inference(monotonicity,[status(thm)],[2060])).
% 7.86/5.40 tff(2062,plain,
% 7.86/5.40 (((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB169) <=> (~(v84(constB169, bitIndex0) | (~v84(constB169, bitIndex1)) | (~v84(constB169, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB169) <=> (~((~v84(constB169, bitIndex2)) | (~v84(constB169, bitIndex1)) | v84(constB169, bitIndex0)))))),
% 7.86/5.40 inference(transitivity,[status(thm)],[2061, 2059])).
% 7.86/5.40 tff(2063,plain,
% 7.86/5.40 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB169) <=> (~(v84(constB169, bitIndex0) | (~v84(constB169, bitIndex1)) | (~v84(constB169, bitIndex2)))))),
% 7.86/5.40 inference(quant_inst,[status(thm)],[])).
% 7.86/5.40 tff(2064,plain,
% 7.86/5.40 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB169) <=> (~((~v84(constB169, bitIndex2)) | (~v84(constB169, bitIndex1)) | v84(constB169, bitIndex0))))),
% 7.86/5.40 inference(modus_ponens,[status(thm)],[2063, 2062])).
% 7.86/5.40 tff(2065,plain,
% 7.86/5.40 (v119(constB169) <=> (~((~v84(constB169, bitIndex2)) | (~v84(constB169, bitIndex1)) | v84(constB169, bitIndex0)))),
% 7.86/5.40 inference(unit_resolution,[status(thm)],[2064, 1511])).
% 7.86/5.40 tff(2066,plain,
% 7.86/5.40 (nextState(constB168, constB169) <=> nextState(constB168, constB169)),
% 7.86/5.40 inference(rewrite,[status(thm)],[])).
% 7.86/5.40 tff(2067,axiom,(nextState(constB168, constB169)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_168')).
% 7.86/5.40 tff(2068,plain,
% 7.86/5.40 (nextState(constB168, constB169)),
% 7.86/5.40 inference(modus_ponens,[status(thm)],[2067, 2066])).
% 7.86/5.40 tff(2069,plain,
% 7.86/5.40 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB168, constB169)) | (v94(constB169) <=> (~((~v104(constB169)) | (~v95(constB169))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB168, constB169)) | (v94(constB169) <=> (~((~v104(constB169)) | (~v95(constB169))))))),
% 7.86/5.40 inference(rewrite,[status(thm)],[])).
% 7.86/5.40 tff(2070,plain,
% 7.86/5.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB168, constB169)) | (v94(constB169) <=> (~((~v104(constB169)) | (~v95(constB169))))))),
% 7.86/5.40 inference(quant_inst,[status(thm)],[])).
% 7.86/5.40 tff(2071,plain,
% 7.86/5.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB168, constB169)) | (v94(constB169) <=> (~((~v104(constB169)) | (~v95(constB169)))))),
% 7.86/5.40 inference(modus_ponens,[status(thm)],[2070, 2069])).
% 7.86/5.40 tff(2072,plain,
% 7.86/5.40 (v94(constB169) <=> (~((~v104(constB169)) | (~v95(constB169))))),
% 7.86/5.40 inference(unit_resolution,[status(thm)],[2071, 2068, 775])).
% 7.86/5.40 tff(2073,plain,
% 7.86/5.40 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB168, constB169)) | (v95(constB169) <=> (~((~v1(constB169)) | (~v96(constB169))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB168, constB169)) | (v95(constB169) <=> (~((~v1(constB169)) | (~v96(constB169))))))),
% 7.86/5.40 inference(rewrite,[status(thm)],[])).
% 7.86/5.40 tff(2074,plain,
% 7.86/5.40 (((~nextState(constB168, constB169)) | (v95(constB169) <=> (~((~v96(constB169)) | (~v1(constB169)))))) <=> ((~nextState(constB168, constB169)) | (v95(constB169) <=> (~((~v1(constB169)) | (~v96(constB169))))))),
% 7.86/5.40 inference(rewrite,[status(thm)],[])).
% 7.86/5.40 tff(2075,plain,
% 7.86/5.40 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB168, constB169)) | (v95(constB169) <=> (~((~v96(constB169)) | (~v1(constB169))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB168, constB169)) | (v95(constB169) <=> (~((~v1(constB169)) | (~v96(constB169)))))))),
% 7.86/5.40 inference(monotonicity,[status(thm)],[2074])).
% 7.86/5.40 tff(2076,plain,
% 7.86/5.40 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB168, constB169)) | (v95(constB169) <=> (~((~v96(constB169)) | (~v1(constB169))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB168, constB169)) | (v95(constB169) <=> (~((~v1(constB169)) | (~v96(constB169))))))),
% 7.86/5.40 inference(transitivity,[status(thm)],[2075, 2073])).
% 7.86/5.40 tff(2077,plain,
% 7.86/5.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB168, constB169)) | (v95(constB169) <=> (~((~v96(constB169)) | (~v1(constB169))))))),
% 7.86/5.40 inference(quant_inst,[status(thm)],[])).
% 7.86/5.40 tff(2078,plain,
% 7.86/5.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB168, constB169)) | (v95(constB169) <=> (~((~v1(constB169)) | (~v96(constB169)))))),
% 7.86/5.40 inference(modus_ponens,[status(thm)],[2077, 2076])).
% 7.86/5.40 tff(2079,plain,
% 7.86/5.40 (v95(constB169) <=> (~((~v1(constB169)) | (~v96(constB169))))),
% 7.86/5.40 inference(unit_resolution,[status(thm)],[2078, 2068, 795])).
% 7.86/5.40 tff(2080,plain,
% 7.86/5.40 (((~v1(constB169)) | (~v96(constB169))) | v1(constB169)),
% 7.86/5.40 inference(tautology,[status(thm)],[])).
% 7.86/5.40 tff(2081,plain,
% 7.86/5.40 ((~v1(constB169)) | (~v96(constB169))),
% 7.86/5.40 inference(unit_resolution,[status(thm)],[2080, 2035])).
% 7.86/5.40 tff(2082,plain,
% 7.86/5.40 ((~(v95(constB169) <=> (~((~v1(constB169)) | (~v96(constB169)))))) | (~v95(constB169)) | (~((~v1(constB169)) | (~v96(constB169))))),
% 7.86/5.40 inference(tautology,[status(thm)],[])).
% 7.86/5.40 tff(2083,plain,
% 7.86/5.40 ((~(v95(constB169) <=> (~((~v1(constB169)) | (~v96(constB169)))))) | (~v95(constB169))),
% 7.86/5.40 inference(unit_resolution,[status(thm)],[2082, 2081])).
% 7.86/5.40 tff(2084,plain,
% 7.86/5.40 (~v95(constB169)),
% 7.86/5.40 inference(unit_resolution,[status(thm)],[2083, 2079])).
% 7.86/5.40 tff(2085,plain,
% 7.86/5.40 (((~v104(constB169)) | (~v95(constB169))) | v95(constB169)),
% 7.86/5.40 inference(tautology,[status(thm)],[])).
% 7.86/5.40 tff(2086,plain,
% 7.86/5.40 ((~v104(constB169)) | (~v95(constB169))),
% 7.86/5.40 inference(unit_resolution,[status(thm)],[2085, 2084])).
% 7.86/5.40 tff(2087,plain,
% 7.86/5.40 ((~(v94(constB169) <=> (~((~v104(constB169)) | (~v95(constB169)))))) | (~v94(constB169)) | (~((~v104(constB169)) | (~v95(constB169))))),
% 7.86/5.40 inference(tautology,[status(thm)],[])).
% 7.86/5.40 tff(2088,plain,
% 7.86/5.40 (~v94(constB169)),
% 7.86/5.40 inference(unit_resolution,[status(thm)],[2087, 2086, 2072])).
% 7.86/5.40 tff(2089,plain,
% 7.86/5.40 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB169) | (~nextState(constB168, constB169)) | ![B: $i] : ((~less_3(B)) | (v84(constB169, B) <=> v84(constB168, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB169) | (~nextState(constB168, constB169)) | ![B: $i] : ((~less_3(B)) | (v84(constB169, B) <=> v84(constB168, B))))),
% 7.86/5.40 inference(rewrite,[status(thm)],[])).
% 7.86/5.40 tff(2090,plain,
% 7.86/5.40 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB169) | (~nextState(constB168, constB169)) | ![B: $i] : ((~less_3(B)) | (v84(constB169, B) <=> v84(constB168, B))))),
% 7.86/5.40 inference(quant_inst,[status(thm)],[])).
% 7.86/5.40 tff(2091,plain,
% 7.86/5.40 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB169) | (~nextState(constB168, constB169)) | ![B: $i] : ((~less_3(B)) | (v84(constB169, B) <=> v84(constB168, B)))),
% 7.86/5.40 inference(modus_ponens,[status(thm)],[2090, 2089])).
% 7.86/5.40 tff(2092,plain,
% 7.86/5.40 (v94(constB169) | ![B: $i] : ((~less_3(B)) | (v84(constB169, B) <=> v84(constB168, B)))),
% 7.86/5.40 inference(unit_resolution,[status(thm)],[2091, 2068, 824])).
% 7.86/5.40 tff(2093,plain,
% 7.86/5.40 (![B: $i] : ((~less_3(B)) | (v84(constB169, B) <=> v84(constB168, B)))),
% 7.86/5.40 inference(unit_resolution,[status(thm)],[2092, 2088])).
% 7.86/5.40 tff(2094,plain,
% 7.86/5.40 (((~![B: $i] : ((~less_3(B)) | (v84(constB169, B) <=> v84(constB168, B)))) | ((~less_3(bitIndex2)) | (v84(constB169, bitIndex2) <=> v84(constB168, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB169, B) <=> v84(constB168, B)))) | (~less_3(bitIndex2)) | (v84(constB169, bitIndex2) <=> v84(constB168, bitIndex2)))),
% 7.86/5.40 inference(rewrite,[status(thm)],[])).
% 7.86/5.40 tff(2095,plain,
% 7.86/5.40 ((~![B: $i] : ((~less_3(B)) | (v84(constB169, B) <=> v84(constB168, B)))) | ((~less_3(bitIndex2)) | (v84(constB169, bitIndex2) <=> v84(constB168, bitIndex2)))),
% 7.86/5.40 inference(quant_inst,[status(thm)],[])).
% 7.86/5.40 tff(2096,plain,
% 7.86/5.40 ((~![B: $i] : ((~less_3(B)) | (v84(constB169, B) <=> v84(constB168, B)))) | (~less_3(bitIndex2)) | (v84(constB169, bitIndex2) <=> v84(constB168, bitIndex2))),
% 7.86/5.40 inference(modus_ponens,[status(thm)],[2095, 2094])).
% 7.86/5.40 tff(2097,plain,
% 7.86/5.40 (v84(constB169, bitIndex2) <=> v84(constB168, bitIndex2)),
% 7.86/5.40 inference(unit_resolution,[status(thm)],[2096, 832, 2093])).
% 7.86/5.40 tff(2098,plain,
% 7.86/5.40 (nextState(constB167, constB168) <=> nextState(constB167, constB168)),
% 7.86/5.40 inference(rewrite,[status(thm)],[])).
% 7.86/5.40 tff(2099,axiom,(nextState(constB167, constB168)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_167')).
% 7.86/5.40 tff(2100,plain,
% 7.86/5.40 (nextState(constB167, constB168)),
% 7.86/5.40 inference(modus_ponens,[status(thm)],[2099, 2098])).
% 7.86/5.40 tff(2101,plain,
% 7.86/5.40 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB167, constB168)) | (v94(constB168) <=> (~((~v104(constB168)) | (~v95(constB168))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB167, constB168)) | (v94(constB168) <=> (~((~v104(constB168)) | (~v95(constB168))))))),
% 7.86/5.40 inference(rewrite,[status(thm)],[])).
% 7.86/5.40 tff(2102,plain,
% 7.86/5.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB167, constB168)) | (v94(constB168) <=> (~((~v104(constB168)) | (~v95(constB168))))))),
% 7.86/5.40 inference(quant_inst,[status(thm)],[])).
% 7.86/5.40 tff(2103,plain,
% 7.86/5.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB167, constB168)) | (v94(constB168) <=> (~((~v104(constB168)) | (~v95(constB168)))))),
% 7.86/5.40 inference(modus_ponens,[status(thm)],[2102, 2101])).
% 7.86/5.41 tff(2104,plain,
% 7.86/5.41 (v94(constB168) <=> (~((~v104(constB168)) | (~v95(constB168))))),
% 7.86/5.41 inference(unit_resolution,[status(thm)],[2103, 2100, 775])).
% 7.86/5.41 tff(2105,plain,
% 7.86/5.41 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB167, constB168)) | (v95(constB168) <=> (~((~v1(constB168)) | (~v96(constB168))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB167, constB168)) | (v95(constB168) <=> (~((~v1(constB168)) | (~v96(constB168))))))),
% 7.86/5.41 inference(rewrite,[status(thm)],[])).
% 7.86/5.41 tff(2106,plain,
% 7.86/5.41 (((~nextState(constB167, constB168)) | (v95(constB168) <=> (~((~v96(constB168)) | (~v1(constB168)))))) <=> ((~nextState(constB167, constB168)) | (v95(constB168) <=> (~((~v1(constB168)) | (~v96(constB168))))))),
% 7.86/5.41 inference(rewrite,[status(thm)],[])).
% 7.86/5.41 tff(2107,plain,
% 7.86/5.41 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB167, constB168)) | (v95(constB168) <=> (~((~v96(constB168)) | (~v1(constB168))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB167, constB168)) | (v95(constB168) <=> (~((~v1(constB168)) | (~v96(constB168)))))))),
% 7.86/5.41 inference(monotonicity,[status(thm)],[2106])).
% 7.86/5.41 tff(2108,plain,
% 7.86/5.41 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB167, constB168)) | (v95(constB168) <=> (~((~v96(constB168)) | (~v1(constB168))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB167, constB168)) | (v95(constB168) <=> (~((~v1(constB168)) | (~v96(constB168))))))),
% 7.86/5.41 inference(transitivity,[status(thm)],[2107, 2105])).
% 7.86/5.41 tff(2109,plain,
% 7.86/5.41 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB167, constB168)) | (v95(constB168) <=> (~((~v96(constB168)) | (~v1(constB168))))))),
% 7.86/5.41 inference(quant_inst,[status(thm)],[])).
% 7.86/5.41 tff(2110,plain,
% 7.86/5.41 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB167, constB168)) | (v95(constB168) <=> (~((~v1(constB168)) | (~v96(constB168)))))),
% 7.86/5.41 inference(modus_ponens,[status(thm)],[2109, 2108])).
% 7.86/5.41 tff(2111,plain,
% 7.86/5.41 (v95(constB168) <=> (~((~v1(constB168)) | (~v96(constB168))))),
% 7.86/5.41 inference(unit_resolution,[status(thm)],[2110, 2100, 795])).
% 7.86/5.41 tff(2112,plain,
% 7.86/5.41 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB167, constB168)) | ((~v96(constB168)) <=> v98(constB168)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB167, constB168)) | ((~v96(constB168)) <=> v98(constB168)))),
% 7.86/5.41 inference(rewrite,[status(thm)],[])).
% 7.86/5.41 tff(2113,plain,
% 7.86/5.41 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB167, constB168)) | ((~v96(constB168)) <=> v98(constB168)))),
% 7.86/5.41 inference(quant_inst,[status(thm)],[])).
% 7.86/5.41 tff(2114,plain,
% 7.86/5.41 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB167, constB168)) | ((~v96(constB168)) <=> v98(constB168))),
% 7.86/5.41 inference(modus_ponens,[status(thm)],[2113, 2112])).
% 7.86/5.41 tff(2115,plain,
% 7.86/5.41 ((~v96(constB168)) <=> v98(constB168)),
% 7.86/5.41 inference(unit_resolution,[status(thm)],[2114, 2100, 860])).
% 7.86/5.41 tff(2116,plain,
% 7.86/5.41 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB167, constB168)) | (v98(constB168) <=> v1(constB167)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB167, constB168)) | (v98(constB168) <=> v1(constB167)))),
% 7.86/5.41 inference(rewrite,[status(thm)],[])).
% 7.86/5.41 tff(2117,plain,
% 7.86/5.41 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB167, constB168)) | (v98(constB168) <=> v1(constB167)))),
% 7.86/5.41 inference(quant_inst,[status(thm)],[])).
% 7.86/5.41 tff(2118,plain,
% 7.86/5.41 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB167, constB168)) | (v98(constB168) <=> v1(constB167))),
% 7.86/5.41 inference(modus_ponens,[status(thm)],[2117, 2116])).
% 7.86/5.41 tff(2119,plain,
% 7.86/5.41 (v98(constB168) <=> v1(constB167)),
% 7.86/5.41 inference(unit_resolution,[status(thm)],[2118, 2100, 874])).
% 7.86/5.41 tff(2120,plain,
% 7.86/5.41 ((~v1(constB167)) <=> (~v1(constB167))),
% 7.86/5.41 inference(rewrite,[status(thm)],[])).
% 7.86/5.41 tff(2121,axiom,(~v1(constB167)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_167')).
% 7.86/5.41 tff(2122,plain,
% 7.86/5.41 (~v1(constB167)),
% 7.86/5.41 inference(modus_ponens,[status(thm)],[2121, 2120])).
% 7.86/5.41 tff(2123,plain,
% 7.86/5.41 ((~(v98(constB168) <=> v1(constB167))) | (~v98(constB168)) | v1(constB167)),
% 7.86/5.41 inference(tautology,[status(thm)],[])).
% 7.86/5.41 tff(2124,plain,
% 7.86/5.41 ((~(v98(constB168) <=> v1(constB167))) | (~v98(constB168))),
% 7.86/5.41 inference(unit_resolution,[status(thm)],[2123, 2122])).
% 7.86/5.41 tff(2125,plain,
% 7.86/5.41 (~v98(constB168)),
% 7.86/5.41 inference(unit_resolution,[status(thm)],[2124, 2119])).
% 7.86/5.41 tff(2126,plain,
% 7.86/5.41 ((~((~v96(constB168)) <=> v98(constB168))) | v96(constB168) | v98(constB168)),
% 7.86/5.41 inference(tautology,[status(thm)],[])).
% 7.86/5.41 tff(2127,plain,
% 7.86/5.41 (v96(constB168)),
% 7.86/5.41 inference(unit_resolution,[status(thm)],[2126, 2125, 2115])).
% 7.86/5.41 tff(2128,plain,
% 7.86/5.41 (v1(constB168) <=> v1(constB168)),
% 7.86/5.41 inference(rewrite,[status(thm)],[])).
% 7.86/5.41 tff(2129,axiom,(v1(constB168)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_168')).
% 7.86/5.41 tff(2130,plain,
% 7.86/5.41 (v1(constB168)),
% 7.86/5.41 inference(modus_ponens,[status(thm)],[2129, 2128])).
% 7.86/5.41 tff(2131,plain,
% 7.86/5.41 ((~((~v1(constB168)) | (~v96(constB168)))) | (~v1(constB168)) | (~v96(constB168))),
% 7.86/5.41 inference(tautology,[status(thm)],[])).
% 7.86/5.41 tff(2132,plain,
% 7.86/5.41 ((~((~v1(constB168)) | (~v96(constB168)))) | (~v96(constB168))),
% 7.86/5.41 inference(unit_resolution,[status(thm)],[2131, 2130])).
% 7.86/5.41 tff(2133,plain,
% 7.86/5.41 (~((~v1(constB168)) | (~v96(constB168)))),
% 7.86/5.41 inference(unit_resolution,[status(thm)],[2132, 2127])).
% 7.86/5.41 tff(2134,plain,
% 7.86/5.41 ((~(v95(constB168) <=> (~((~v1(constB168)) | (~v96(constB168)))))) | v95(constB168) | ((~v1(constB168)) | (~v96(constB168)))),
% 7.86/5.41 inference(tautology,[status(thm)],[])).
% 7.86/5.41 tff(2135,plain,
% 7.86/5.41 (v95(constB168)),
% 7.86/5.41 inference(unit_resolution,[status(thm)],[2134, 2133, 2111])).
% 7.86/5.41 tff(2136,plain,
% 7.86/5.41 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB167, constB168)) | (v104(constB168) <=> v102(constB167)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB167, constB168)) | (v104(constB168) <=> v102(constB167)))),
% 7.86/5.41 inference(rewrite,[status(thm)],[])).
% 7.86/5.41 tff(2137,plain,
% 7.86/5.41 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB167, constB168)) | (v104(constB168) <=> v102(constB167)))),
% 7.86/5.41 inference(quant_inst,[status(thm)],[])).
% 7.86/5.41 tff(2138,plain,
% 7.86/5.41 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB167, constB168)) | (v104(constB168) <=> v102(constB167))),
% 7.86/5.41 inference(modus_ponens,[status(thm)],[2137, 2136])).
% 7.86/5.41 tff(2139,plain,
% 7.86/5.41 (v104(constB168) <=> v102(constB167)),
% 7.86/5.41 inference(unit_resolution,[status(thm)],[2138, 2100, 904])).
% 7.86/5.41 tff(2140,plain,
% 7.86/5.41 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB167) <=> (v105(constB167) | v106(constB167)))),
% 7.86/5.41 inference(quant_inst,[status(thm)],[])).
% 7.86/5.41 tff(2141,plain,
% 7.86/5.41 (v102(constB167) <=> (v105(constB167) | v106(constB167))),
% 7.86/5.41 inference(unit_resolution,[status(thm)],[2140, 915])).
% 7.86/5.41 tff(2142,plain,
% 7.86/5.41 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB167) <=> (~((~v107(constB167)) | (~v120(constB167)))))),
% 7.86/5.41 inference(quant_inst,[status(thm)],[])).
% 7.86/5.41 tff(2143,plain,
% 7.86/5.41 (v106(constB167) <=> (~((~v107(constB167)) | (~v120(constB167))))),
% 7.86/5.41 inference(unit_resolution,[status(thm)],[2142, 927])).
% 7.86/5.41 tff(2144,plain,
% 7.86/5.41 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB167) <=> (v108(constB167) | v119(constB167)))),
% 7.86/5.41 inference(quant_inst,[status(thm)],[])).
% 7.86/5.41 tff(2145,plain,
% 7.86/5.41 (v107(constB167) <=> (v108(constB167) | v119(constB167))),
% 7.86/5.41 inference(unit_resolution,[status(thm)],[2144, 936])).
% 7.86/5.41 tff(2146,plain,
% 7.86/5.41 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB167) <=> (v109(constB167) | v118(constB167)))),
% 7.86/5.41 inference(quant_inst,[status(thm)],[])).
% 7.86/5.41 tff(2147,plain,
% 7.86/5.41 (v108(constB167) <=> (v109(constB167) | v118(constB167))),
% 7.86/5.41 inference(unit_resolution,[status(thm)],[2146, 945])).
% 7.86/5.41 tff(2148,plain,
% 7.86/5.41 (((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB167) <=> (~((~v84(constB167, bitIndex2)) | v84(constB167, bitIndex1) | (~v84(constB167, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB167) <=> (~((~v84(constB167, bitIndex2)) | v84(constB167, bitIndex1) | (~v84(constB167, bitIndex0))))))),
% 7.86/5.41 inference(rewrite,[status(thm)],[])).
% 7.86/5.41 tff(2149,plain,
% 7.86/5.41 ((v118(constB167) <=> (~(v84(constB167, bitIndex1) | (~v84(constB167, bitIndex0)) | (~v84(constB167, bitIndex2))))) <=> (v118(constB167) <=> (~((~v84(constB167, bitIndex2)) | v84(constB167, bitIndex1) | (~v84(constB167, bitIndex0)))))),
% 7.86/5.41 inference(rewrite,[status(thm)],[])).
% 7.86/5.41 tff(2150,plain,
% 7.86/5.41 (((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB167) <=> (~(v84(constB167, bitIndex1) | (~v84(constB167, bitIndex0)) | (~v84(constB167, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB167) <=> (~((~v84(constB167, bitIndex2)) | v84(constB167, bitIndex1) | (~v84(constB167, bitIndex0))))))),
% 7.86/5.41 inference(monotonicity,[status(thm)],[2149])).
% 7.86/5.41 tff(2151,plain,
% 7.86/5.41 (((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB167) <=> (~(v84(constB167, bitIndex1) | (~v84(constB167, bitIndex0)) | (~v84(constB167, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB167) <=> (~((~v84(constB167, bitIndex2)) | v84(constB167, bitIndex1) | (~v84(constB167, bitIndex0))))))),
% 7.86/5.41 inference(transitivity,[status(thm)],[2150, 2148])).
% 7.86/5.41 tff(2152,plain,
% 7.86/5.41 ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB167) <=> (~(v84(constB167, bitIndex1) | (~v84(constB167, bitIndex0)) | (~v84(constB167, bitIndex2)))))),
% 7.86/5.41 inference(quant_inst,[status(thm)],[])).
% 7.86/5.41 tff(2153,plain,
% 7.86/5.41 ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB167) <=> (~((~v84(constB167, bitIndex2)) | v84(constB167, bitIndex1) | (~v84(constB167, bitIndex0)))))),
% 7.86/5.41 inference(modus_ponens,[status(thm)],[2152, 2151])).
% 7.86/5.41 tff(2154,plain,
% 7.86/5.41 (v118(constB167) <=> (~((~v84(constB167, bitIndex2)) | v84(constB167, bitIndex1) | (~v84(constB167, bitIndex0))))),
% 7.86/5.41 inference(unit_resolution,[status(thm)],[2153, 960])).
% 7.86/5.41 tff(2155,plain,
% 7.86/5.41 (nextState(constB166, constB167) <=> nextState(constB166, constB167)),
% 7.86/5.41 inference(rewrite,[status(thm)],[])).
% 7.86/5.41 tff(2156,axiom,(nextState(constB166, constB167)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_166')).
% 7.86/5.41 tff(2157,plain,
% 7.86/5.41 (nextState(constB166, constB167)),
% 7.86/5.41 inference(modus_ponens,[status(thm)],[2156, 2155])).
% 7.86/5.41 tff(2158,plain,
% 7.86/5.41 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB166, constB167)) | (v94(constB167) <=> (~((~v104(constB167)) | (~v95(constB167))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB166, constB167)) | (v94(constB167) <=> (~((~v104(constB167)) | (~v95(constB167))))))),
% 7.86/5.41 inference(rewrite,[status(thm)],[])).
% 7.86/5.41 tff(2159,plain,
% 7.86/5.41 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB166, constB167)) | (v94(constB167) <=> (~((~v104(constB167)) | (~v95(constB167))))))),
% 7.86/5.41 inference(quant_inst,[status(thm)],[])).
% 7.86/5.41 tff(2160,plain,
% 7.86/5.41 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB166, constB167)) | (v94(constB167) <=> (~((~v104(constB167)) | (~v95(constB167)))))),
% 7.86/5.41 inference(modus_ponens,[status(thm)],[2159, 2158])).
% 7.86/5.41 tff(2161,plain,
% 7.86/5.41 (v94(constB167) <=> (~((~v104(constB167)) | (~v95(constB167))))),
% 7.86/5.41 inference(unit_resolution,[status(thm)],[2160, 2157, 775])).
% 7.86/5.41 tff(2162,plain,
% 7.86/5.41 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB166, constB167)) | (v95(constB167) <=> (~((~v1(constB167)) | (~v96(constB167))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB166, constB167)) | (v95(constB167) <=> (~((~v1(constB167)) | (~v96(constB167))))))),
% 7.86/5.41 inference(rewrite,[status(thm)],[])).
% 7.86/5.41 tff(2163,plain,
% 7.86/5.41 (((~nextState(constB166, constB167)) | (v95(constB167) <=> (~((~v96(constB167)) | (~v1(constB167)))))) <=> ((~nextState(constB166, constB167)) | (v95(constB167) <=> (~((~v1(constB167)) | (~v96(constB167))))))),
% 7.86/5.41 inference(rewrite,[status(thm)],[])).
% 7.86/5.41 tff(2164,plain,
% 7.86/5.41 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB166, constB167)) | (v95(constB167) <=> (~((~v96(constB167)) | (~v1(constB167))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB166, constB167)) | (v95(constB167) <=> (~((~v1(constB167)) | (~v96(constB167)))))))),
% 7.86/5.41 inference(monotonicity,[status(thm)],[2163])).
% 7.86/5.41 tff(2165,plain,
% 7.86/5.41 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB166, constB167)) | (v95(constB167) <=> (~((~v96(constB167)) | (~v1(constB167))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB166, constB167)) | (v95(constB167) <=> (~((~v1(constB167)) | (~v96(constB167))))))),
% 7.86/5.41 inference(transitivity,[status(thm)],[2164, 2162])).
% 7.86/5.41 tff(2166,plain,
% 7.86/5.41 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB166, constB167)) | (v95(constB167) <=> (~((~v96(constB167)) | (~v1(constB167))))))),
% 7.86/5.41 inference(quant_inst,[status(thm)],[])).
% 7.86/5.41 tff(2167,plain,
% 7.86/5.41 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB166, constB167)) | (v95(constB167) <=> (~((~v1(constB167)) | (~v96(constB167)))))),
% 7.86/5.41 inference(modus_ponens,[status(thm)],[2166, 2165])).
% 7.86/5.41 tff(2168,plain,
% 7.86/5.41 (v95(constB167) <=> (~((~v1(constB167)) | (~v96(constB167))))),
% 7.86/5.41 inference(unit_resolution,[status(thm)],[2167, 2157, 795])).
% 7.86/5.41 tff(2169,plain,
% 7.86/5.41 (((~v1(constB167)) | (~v96(constB167))) | v1(constB167)),
% 7.86/5.41 inference(tautology,[status(thm)],[])).
% 7.86/5.41 tff(2170,plain,
% 7.86/5.41 ((~v1(constB167)) | (~v96(constB167))),
% 7.86/5.41 inference(unit_resolution,[status(thm)],[2169, 2122])).
% 7.86/5.41 tff(2171,plain,
% 7.86/5.41 ((~(v95(constB167) <=> (~((~v1(constB167)) | (~v96(constB167)))))) | (~v95(constB167)) | (~((~v1(constB167)) | (~v96(constB167))))),
% 7.86/5.41 inference(tautology,[status(thm)],[])).
% 7.86/5.41 tff(2172,plain,
% 7.86/5.41 ((~(v95(constB167) <=> (~((~v1(constB167)) | (~v96(constB167)))))) | (~v95(constB167))),
% 7.86/5.41 inference(unit_resolution,[status(thm)],[2171, 2170])).
% 7.86/5.41 tff(2173,plain,
% 7.86/5.41 (~v95(constB167)),
% 7.86/5.41 inference(unit_resolution,[status(thm)],[2172, 2168])).
% 7.86/5.41 tff(2174,plain,
% 7.86/5.41 (((~v104(constB167)) | (~v95(constB167))) | v95(constB167)),
% 7.86/5.41 inference(tautology,[status(thm)],[])).
% 7.86/5.41 tff(2175,plain,
% 7.86/5.41 ((~v104(constB167)) | (~v95(constB167))),
% 7.86/5.41 inference(unit_resolution,[status(thm)],[2174, 2173])).
% 7.86/5.41 tff(2176,plain,
% 7.86/5.41 ((~(v94(constB167) <=> (~((~v104(constB167)) | (~v95(constB167)))))) | (~v94(constB167)) | (~((~v104(constB167)) | (~v95(constB167))))),
% 7.86/5.41 inference(tautology,[status(thm)],[])).
% 7.86/5.41 tff(2177,plain,
% 7.86/5.41 (~v94(constB167)),
% 7.86/5.41 inference(unit_resolution,[status(thm)],[2176, 2175, 2161])).
% 7.86/5.41 tff(2178,plain,
% 7.86/5.41 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB167) | (~nextState(constB166, constB167)) | ![B: $i] : ((~less_3(B)) | (v84(constB167, B) <=> v84(constB166, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB167) | (~nextState(constB166, constB167)) | ![B: $i] : ((~less_3(B)) | (v84(constB167, B) <=> v84(constB166, B))))),
% 7.86/5.41 inference(rewrite,[status(thm)],[])).
% 7.86/5.41 tff(2179,plain,
% 7.86/5.41 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB167) | (~nextState(constB166, constB167)) | ![B: $i] : ((~less_3(B)) | (v84(constB167, B) <=> v84(constB166, B))))),
% 7.86/5.41 inference(quant_inst,[status(thm)],[])).
% 7.86/5.41 tff(2180,plain,
% 7.86/5.41 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB167) | (~nextState(constB166, constB167)) | ![B: $i] : ((~less_3(B)) | (v84(constB167, B) <=> v84(constB166, B)))),
% 7.86/5.41 inference(modus_ponens,[status(thm)],[2179, 2178])).
% 7.86/5.41 tff(2181,plain,
% 7.86/5.41 (v94(constB167) | ![B: $i] : ((~less_3(B)) | (v84(constB167, B) <=> v84(constB166, B)))),
% 7.86/5.41 inference(unit_resolution,[status(thm)],[2180, 2157, 824])).
% 7.86/5.41 tff(2182,plain,
% 7.86/5.41 (![B: $i] : ((~less_3(B)) | (v84(constB167, B) <=> v84(constB166, B)))),
% 7.86/5.41 inference(unit_resolution,[status(thm)],[2181, 2177])).
% 7.86/5.41 tff(2183,plain,
% 7.86/5.41 (((~![B: $i] : ((~less_3(B)) | (v84(constB167, B) <=> v84(constB166, B)))) | ((~less_3(bitIndex2)) | (v84(constB167, bitIndex2) <=> v84(constB166, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB167, B) <=> v84(constB166, B)))) | (~less_3(bitIndex2)) | (v84(constB167, bitIndex2) <=> v84(constB166, bitIndex2)))),
% 7.86/5.41 inference(rewrite,[status(thm)],[])).
% 7.86/5.41 tff(2184,plain,
% 7.86/5.41 ((~![B: $i] : ((~less_3(B)) | (v84(constB167, B) <=> v84(constB166, B)))) | ((~less_3(bitIndex2)) | (v84(constB167, bitIndex2) <=> v84(constB166, bitIndex2)))),
% 7.86/5.41 inference(quant_inst,[status(thm)],[])).
% 7.86/5.41 tff(2185,plain,
% 7.86/5.41 ((~![B: $i] : ((~less_3(B)) | (v84(constB167, B) <=> v84(constB166, B)))) | (~less_3(bitIndex2)) | (v84(constB167, bitIndex2) <=> v84(constB166, bitIndex2))),
% 7.86/5.41 inference(modus_ponens,[status(thm)],[2184, 2183])).
% 7.86/5.41 tff(2186,plain,
% 7.86/5.41 (v84(constB167, bitIndex2) <=> v84(constB166, bitIndex2)),
% 7.86/5.41 inference(unit_resolution,[status(thm)],[2185, 832, 2182])).
% 7.86/5.41 tff(2187,plain,
% 7.86/5.41 (nextState(constB165, constB166) <=> nextState(constB165, constB166)),
% 7.86/5.41 inference(rewrite,[status(thm)],[])).
% 7.86/5.41 tff(2188,axiom,(nextState(constB165, constB166)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_165')).
% 7.86/5.41 tff(2189,plain,
% 7.86/5.41 (nextState(constB165, constB166)),
% 7.86/5.41 inference(modus_ponens,[status(thm)],[2188, 2187])).
% 7.86/5.41 tff(2190,plain,
% 7.86/5.41 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB165, constB166)) | (v94(constB166) <=> (~((~v104(constB166)) | (~v95(constB166))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB165, constB166)) | (v94(constB166) <=> (~((~v104(constB166)) | (~v95(constB166))))))),
% 7.86/5.41 inference(rewrite,[status(thm)],[])).
% 7.86/5.41 tff(2191,plain,
% 7.86/5.41 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB165, constB166)) | (v94(constB166) <=> (~((~v104(constB166)) | (~v95(constB166))))))),
% 7.86/5.41 inference(quant_inst,[status(thm)],[])).
% 7.86/5.41 tff(2192,plain,
% 7.86/5.41 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB165, constB166)) | (v94(constB166) <=> (~((~v104(constB166)) | (~v95(constB166)))))),
% 7.86/5.41 inference(modus_ponens,[status(thm)],[2191, 2190])).
% 7.86/5.41 tff(2193,plain,
% 7.86/5.41 (v94(constB166) <=> (~((~v104(constB166)) | (~v95(constB166))))),
% 7.86/5.41 inference(unit_resolution,[status(thm)],[2192, 2189, 775])).
% 7.86/5.41 tff(2194,plain,
% 7.86/5.41 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB165, constB166)) | (v95(constB166) <=> (~((~v1(constB166)) | (~v96(constB166))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB165, constB166)) | (v95(constB166) <=> (~((~v1(constB166)) | (~v96(constB166))))))),
% 7.86/5.41 inference(rewrite,[status(thm)],[])).
% 7.86/5.41 tff(2195,plain,
% 7.86/5.41 (((~nextState(constB165, constB166)) | (v95(constB166) <=> (~((~v96(constB166)) | (~v1(constB166)))))) <=> ((~nextState(constB165, constB166)) | (v95(constB166) <=> (~((~v1(constB166)) | (~v96(constB166))))))),
% 7.86/5.41 inference(rewrite,[status(thm)],[])).
% 7.86/5.41 tff(2196,plain,
% 7.86/5.41 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB165, constB166)) | (v95(constB166) <=> (~((~v96(constB166)) | (~v1(constB166))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB165, constB166)) | (v95(constB166) <=> (~((~v1(constB166)) | (~v96(constB166)))))))),
% 7.86/5.41 inference(monotonicity,[status(thm)],[2195])).
% 7.86/5.41 tff(2197,plain,
% 7.86/5.41 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB165, constB166)) | (v95(constB166) <=> (~((~v96(constB166)) | (~v1(constB166))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB165, constB166)) | (v95(constB166) <=> (~((~v1(constB166)) | (~v96(constB166))))))),
% 7.86/5.41 inference(transitivity,[status(thm)],[2196, 2194])).
% 7.86/5.41 tff(2198,plain,
% 7.86/5.41 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB165, constB166)) | (v95(constB166) <=> (~((~v96(constB166)) | (~v1(constB166))))))),
% 7.86/5.41 inference(quant_inst,[status(thm)],[])).
% 7.86/5.41 tff(2199,plain,
% 7.86/5.41 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB165, constB166)) | (v95(constB166) <=> (~((~v1(constB166)) | (~v96(constB166)))))),
% 7.86/5.41 inference(modus_ponens,[status(thm)],[2198, 2197])).
% 7.86/5.41 tff(2200,plain,
% 7.86/5.41 (v95(constB166) <=> (~((~v1(constB166)) | (~v96(constB166))))),
% 7.86/5.41 inference(unit_resolution,[status(thm)],[2199, 2189, 795])).
% 7.86/5.41 tff(2201,plain,
% 7.86/5.41 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB165, constB166)) | ((~v96(constB166)) <=> v98(constB166)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB165, constB166)) | ((~v96(constB166)) <=> v98(constB166)))),
% 7.86/5.41 inference(rewrite,[status(thm)],[])).
% 7.86/5.41 tff(2202,plain,
% 7.86/5.41 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB165, constB166)) | ((~v96(constB166)) <=> v98(constB166)))),
% 7.86/5.41 inference(quant_inst,[status(thm)],[])).
% 7.86/5.41 tff(2203,plain,
% 7.86/5.41 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB165, constB166)) | ((~v96(constB166)) <=> v98(constB166))),
% 7.86/5.41 inference(modus_ponens,[status(thm)],[2202, 2201])).
% 7.86/5.41 tff(2204,plain,
% 7.86/5.41 ((~v96(constB166)) <=> v98(constB166)),
% 7.86/5.41 inference(unit_resolution,[status(thm)],[2203, 2189, 860])).
% 7.86/5.41 tff(2205,plain,
% 7.86/5.41 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB165, constB166)) | (v98(constB166) <=> v1(constB165)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB165, constB166)) | (v98(constB166) <=> v1(constB165)))),
% 7.86/5.41 inference(rewrite,[status(thm)],[])).
% 7.86/5.41 tff(2206,plain,
% 7.86/5.41 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB165, constB166)) | (v98(constB166) <=> v1(constB165)))),
% 7.86/5.41 inference(quant_inst,[status(thm)],[])).
% 7.86/5.41 tff(2207,plain,
% 7.86/5.41 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB165, constB166)) | (v98(constB166) <=> v1(constB165))),
% 7.86/5.41 inference(modus_ponens,[status(thm)],[2206, 2205])).
% 7.86/5.41 tff(2208,plain,
% 7.86/5.41 (v98(constB166) <=> v1(constB165)),
% 7.86/5.41 inference(unit_resolution,[status(thm)],[2207, 2189, 874])).
% 7.86/5.41 tff(2209,plain,
% 7.86/5.41 ((~v1(constB165)) <=> (~v1(constB165))),
% 7.86/5.41 inference(rewrite,[status(thm)],[])).
% 7.86/5.41 tff(2210,axiom,(~v1(constB165)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_165')).
% 7.86/5.41 tff(2211,plain,
% 7.86/5.41 (~v1(constB165)),
% 7.86/5.41 inference(modus_ponens,[status(thm)],[2210, 2209])).
% 7.86/5.41 tff(2212,plain,
% 7.86/5.41 ((~(v98(constB166) <=> v1(constB165))) | (~v98(constB166)) | v1(constB165)),
% 7.86/5.41 inference(tautology,[status(thm)],[])).
% 7.86/5.41 tff(2213,plain,
% 7.86/5.41 ((~(v98(constB166) <=> v1(constB165))) | (~v98(constB166))),
% 7.86/5.41 inference(unit_resolution,[status(thm)],[2212, 2211])).
% 7.86/5.41 tff(2214,plain,
% 7.86/5.41 (~v98(constB166)),
% 7.86/5.41 inference(unit_resolution,[status(thm)],[2213, 2208])).
% 7.86/5.41 tff(2215,plain,
% 7.86/5.41 ((~((~v96(constB166)) <=> v98(constB166))) | v96(constB166) | v98(constB166)),
% 7.86/5.41 inference(tautology,[status(thm)],[])).
% 7.86/5.41 tff(2216,plain,
% 7.86/5.41 (v96(constB166)),
% 7.86/5.41 inference(unit_resolution,[status(thm)],[2215, 2214, 2204])).
% 7.86/5.41 tff(2217,plain,
% 7.86/5.41 (v1(constB166) <=> v1(constB166)),
% 7.86/5.41 inference(rewrite,[status(thm)],[])).
% 7.86/5.41 tff(2218,axiom,(v1(constB166)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_166')).
% 7.86/5.41 tff(2219,plain,
% 7.86/5.41 (v1(constB166)),
% 7.86/5.41 inference(modus_ponens,[status(thm)],[2218, 2217])).
% 7.86/5.41 tff(2220,plain,
% 7.86/5.41 ((~((~v1(constB166)) | (~v96(constB166)))) | (~v1(constB166)) | (~v96(constB166))),
% 7.86/5.41 inference(tautology,[status(thm)],[])).
% 7.86/5.41 tff(2221,plain,
% 7.86/5.41 ((~((~v1(constB166)) | (~v96(constB166)))) | (~v96(constB166))),
% 7.86/5.41 inference(unit_resolution,[status(thm)],[2220, 2219])).
% 7.86/5.41 tff(2222,plain,
% 7.86/5.41 (~((~v1(constB166)) | (~v96(constB166)))),
% 7.86/5.41 inference(unit_resolution,[status(thm)],[2221, 2216])).
% 7.86/5.41 tff(2223,plain,
% 7.86/5.41 ((~(v95(constB166) <=> (~((~v1(constB166)) | (~v96(constB166)))))) | v95(constB166) | ((~v1(constB166)) | (~v96(constB166)))),
% 7.86/5.41 inference(tautology,[status(thm)],[])).
% 7.86/5.41 tff(2224,plain,
% 7.86/5.41 (v95(constB166)),
% 7.86/5.41 inference(unit_resolution,[status(thm)],[2223, 2222, 2200])).
% 7.86/5.41 tff(2225,plain,
% 7.86/5.41 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB165, constB166)) | (v104(constB166) <=> v102(constB165)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB165, constB166)) | (v104(constB166) <=> v102(constB165)))),
% 7.86/5.41 inference(rewrite,[status(thm)],[])).
% 7.86/5.41 tff(2226,plain,
% 7.86/5.41 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB165, constB166)) | (v104(constB166) <=> v102(constB165)))),
% 7.86/5.41 inference(quant_inst,[status(thm)],[])).
% 7.86/5.41 tff(2227,plain,
% 7.86/5.41 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB165, constB166)) | (v104(constB166) <=> v102(constB165))),
% 7.86/5.41 inference(modus_ponens,[status(thm)],[2226, 2225])).
% 7.86/5.41 tff(2228,plain,
% 7.86/5.41 (v104(constB166) <=> v102(constB165)),
% 7.86/5.41 inference(unit_resolution,[status(thm)],[2227, 2189, 904])).
% 7.86/5.41 tff(2229,plain,
% 7.86/5.41 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB165) <=> (v105(constB165) | v106(constB165)))),
% 7.86/5.41 inference(quant_inst,[status(thm)],[])).
% 7.86/5.41 tff(2230,plain,
% 7.86/5.41 (v102(constB165) <=> (v105(constB165) | v106(constB165))),
% 7.86/5.41 inference(unit_resolution,[status(thm)],[2229, 915])).
% 7.86/5.41 tff(2231,plain,
% 7.86/5.41 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB165) <=> (~((~v107(constB165)) | (~v120(constB165)))))),
% 7.86/5.41 inference(quant_inst,[status(thm)],[])).
% 7.86/5.41 tff(2232,plain,
% 7.86/5.41 (v106(constB165) <=> (~((~v107(constB165)) | (~v120(constB165))))),
% 7.86/5.41 inference(unit_resolution,[status(thm)],[2231, 927])).
% 7.86/5.41 tff(2233,plain,
% 7.86/5.41 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB165) <=> (v108(constB165) | v119(constB165)))),
% 7.86/5.41 inference(quant_inst,[status(thm)],[])).
% 7.86/5.41 tff(2234,plain,
% 7.86/5.41 (v107(constB165) <=> (v108(constB165) | v119(constB165))),
% 7.86/5.41 inference(unit_resolution,[status(thm)],[2233, 936])).
% 7.86/5.41 tff(2235,plain,
% 7.86/5.41 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB165) <=> (v109(constB165) | v118(constB165)))),
% 7.86/5.41 inference(quant_inst,[status(thm)],[])).
% 7.86/5.41 tff(2236,plain,
% 7.86/5.41 (v108(constB165) <=> (v109(constB165) | v118(constB165))),
% 7.86/5.41 inference(unit_resolution,[status(thm)],[2235, 945])).
% 7.86/5.41 tff(2237,plain,
% 7.86/5.41 ((~![VarCurr: $i] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB165) <=> (v110(constB165) | v117(constB165)))),
% 7.86/5.41 inference(quant_inst,[status(thm)],[])).
% 7.86/5.41 tff(2238,plain,
% 7.86/5.41 (v109(constB165) <=> (v110(constB165) | v117(constB165))),
% 7.86/5.41 inference(unit_resolution,[status(thm)],[2237, 1056])).
% 7.86/5.41 tff(2239,plain,
% 7.86/5.41 (((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB165) <=> (~((~v84(constB165, bitIndex2)) | v84(constB165, bitIndex1) | v84(constB165, bitIndex0))))) <=> ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB165) <=> (~((~v84(constB165, bitIndex2)) | v84(constB165, bitIndex1) | v84(constB165, bitIndex0)))))),
% 7.86/5.41 inference(rewrite,[status(thm)],[])).
% 7.86/5.41 tff(2240,plain,
% 7.86/5.41 ((v117(constB165) <=> (~(v84(constB165, bitIndex0) | v84(constB165, bitIndex1) | (~v84(constB165, bitIndex2))))) <=> (v117(constB165) <=> (~((~v84(constB165, bitIndex2)) | v84(constB165, bitIndex1) | v84(constB165, bitIndex0))))),
% 7.86/5.41 inference(rewrite,[status(thm)],[])).
% 7.86/5.41 tff(2241,plain,
% 7.86/5.41 (((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB165) <=> (~(v84(constB165, bitIndex0) | v84(constB165, bitIndex1) | (~v84(constB165, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB165) <=> (~((~v84(constB165, bitIndex2)) | v84(constB165, bitIndex1) | v84(constB165, bitIndex0)))))),
% 7.86/5.41 inference(monotonicity,[status(thm)],[2240])).
% 7.86/5.41 tff(2242,plain,
% 7.86/5.41 (((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB165) <=> (~(v84(constB165, bitIndex0) | v84(constB165, bitIndex1) | (~v84(constB165, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB165) <=> (~((~v84(constB165, bitIndex2)) | v84(constB165, bitIndex1) | v84(constB165, bitIndex0)))))),
% 7.86/5.41 inference(transitivity,[status(thm)],[2241, 2239])).
% 7.86/5.41 tff(2243,plain,
% 7.86/5.41 ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB165) <=> (~(v84(constB165, bitIndex0) | v84(constB165, bitIndex1) | (~v84(constB165, bitIndex2)))))),
% 7.86/5.41 inference(quant_inst,[status(thm)],[])).
% 7.86/5.41 tff(2244,plain,
% 7.86/5.41 ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB165) <=> (~((~v84(constB165, bitIndex2)) | v84(constB165, bitIndex1) | v84(constB165, bitIndex0))))),
% 7.86/5.41 inference(modus_ponens,[status(thm)],[2243, 2242])).
% 7.86/5.41 tff(2245,plain,
% 7.86/5.41 (v117(constB165) <=> (~((~v84(constB165, bitIndex2)) | v84(constB165, bitIndex1) | v84(constB165, bitIndex0)))),
% 7.86/5.41 inference(unit_resolution,[status(thm)],[2244, 1071])).
% 7.86/5.41 tff(2246,plain,
% 7.86/5.41 (nextState(constB164, constB165) <=> nextState(constB164, constB165)),
% 7.86/5.41 inference(rewrite,[status(thm)],[])).
% 7.86/5.41 tff(2247,axiom,(nextState(constB164, constB165)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_164')).
% 7.86/5.41 tff(2248,plain,
% 7.86/5.41 (nextState(constB164, constB165)),
% 7.86/5.41 inference(modus_ponens,[status(thm)],[2247, 2246])).
% 7.86/5.41 tff(2249,plain,
% 7.86/5.41 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB164, constB165)) | (v94(constB165) <=> (~((~v104(constB165)) | (~v95(constB165))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB164, constB165)) | (v94(constB165) <=> (~((~v104(constB165)) | (~v95(constB165))))))),
% 7.86/5.41 inference(rewrite,[status(thm)],[])).
% 7.86/5.41 tff(2250,plain,
% 7.86/5.41 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB164, constB165)) | (v94(constB165) <=> (~((~v104(constB165)) | (~v95(constB165))))))),
% 7.86/5.41 inference(quant_inst,[status(thm)],[])).
% 7.86/5.41 tff(2251,plain,
% 7.86/5.41 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB164, constB165)) | (v94(constB165) <=> (~((~v104(constB165)) | (~v95(constB165)))))),
% 7.86/5.41 inference(modus_ponens,[status(thm)],[2250, 2249])).
% 7.86/5.41 tff(2252,plain,
% 7.86/5.41 (v94(constB165) <=> (~((~v104(constB165)) | (~v95(constB165))))),
% 7.86/5.41 inference(unit_resolution,[status(thm)],[2251, 2248, 775])).
% 7.86/5.41 tff(2253,plain,
% 7.86/5.41 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB164, constB165)) | (v95(constB165) <=> (~((~v1(constB165)) | (~v96(constB165))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB164, constB165)) | (v95(constB165) <=> (~((~v1(constB165)) | (~v96(constB165))))))),
% 7.86/5.41 inference(rewrite,[status(thm)],[])).
% 7.86/5.41 tff(2254,plain,
% 7.86/5.41 (((~nextState(constB164, constB165)) | (v95(constB165) <=> (~((~v96(constB165)) | (~v1(constB165)))))) <=> ((~nextState(constB164, constB165)) | (v95(constB165) <=> (~((~v1(constB165)) | (~v96(constB165))))))),
% 7.86/5.41 inference(rewrite,[status(thm)],[])).
% 7.86/5.41 tff(2255,plain,
% 7.86/5.41 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB164, constB165)) | (v95(constB165) <=> (~((~v96(constB165)) | (~v1(constB165))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB164, constB165)) | (v95(constB165) <=> (~((~v1(constB165)) | (~v96(constB165)))))))),
% 7.86/5.42 inference(monotonicity,[status(thm)],[2254])).
% 7.86/5.42 tff(2256,plain,
% 7.86/5.42 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB164, constB165)) | (v95(constB165) <=> (~((~v96(constB165)) | (~v1(constB165))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB164, constB165)) | (v95(constB165) <=> (~((~v1(constB165)) | (~v96(constB165))))))),
% 7.86/5.42 inference(transitivity,[status(thm)],[2255, 2253])).
% 7.86/5.42 tff(2257,plain,
% 7.86/5.42 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB164, constB165)) | (v95(constB165) <=> (~((~v96(constB165)) | (~v1(constB165))))))),
% 7.86/5.42 inference(quant_inst,[status(thm)],[])).
% 7.86/5.42 tff(2258,plain,
% 7.86/5.42 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB164, constB165)) | (v95(constB165) <=> (~((~v1(constB165)) | (~v96(constB165)))))),
% 7.86/5.42 inference(modus_ponens,[status(thm)],[2257, 2256])).
% 7.86/5.42 tff(2259,plain,
% 7.86/5.42 (v95(constB165) <=> (~((~v1(constB165)) | (~v96(constB165))))),
% 7.86/5.42 inference(unit_resolution,[status(thm)],[2258, 2248, 795])).
% 7.86/5.42 tff(2260,plain,
% 7.86/5.42 (((~v1(constB165)) | (~v96(constB165))) | v1(constB165)),
% 7.86/5.42 inference(tautology,[status(thm)],[])).
% 7.86/5.42 tff(2261,plain,
% 7.86/5.42 ((~v1(constB165)) | (~v96(constB165))),
% 7.86/5.42 inference(unit_resolution,[status(thm)],[2260, 2211])).
% 7.86/5.42 tff(2262,plain,
% 7.86/5.42 ((~(v95(constB165) <=> (~((~v1(constB165)) | (~v96(constB165)))))) | (~v95(constB165)) | (~((~v1(constB165)) | (~v96(constB165))))),
% 7.86/5.42 inference(tautology,[status(thm)],[])).
% 7.86/5.42 tff(2263,plain,
% 7.86/5.42 ((~(v95(constB165) <=> (~((~v1(constB165)) | (~v96(constB165)))))) | (~v95(constB165))),
% 7.86/5.42 inference(unit_resolution,[status(thm)],[2262, 2261])).
% 7.86/5.42 tff(2264,plain,
% 7.86/5.42 (~v95(constB165)),
% 7.86/5.42 inference(unit_resolution,[status(thm)],[2263, 2259])).
% 7.86/5.42 tff(2265,plain,
% 7.86/5.42 (((~v104(constB165)) | (~v95(constB165))) | v95(constB165)),
% 7.86/5.42 inference(tautology,[status(thm)],[])).
% 7.86/5.42 tff(2266,plain,
% 7.86/5.42 ((~v104(constB165)) | (~v95(constB165))),
% 7.86/5.42 inference(unit_resolution,[status(thm)],[2265, 2264])).
% 7.86/5.42 tff(2267,plain,
% 7.86/5.42 ((~(v94(constB165) <=> (~((~v104(constB165)) | (~v95(constB165)))))) | (~v94(constB165)) | (~((~v104(constB165)) | (~v95(constB165))))),
% 7.86/5.42 inference(tautology,[status(thm)],[])).
% 7.86/5.42 tff(2268,plain,
% 7.86/5.42 (~v94(constB165)),
% 7.86/5.42 inference(unit_resolution,[status(thm)],[2267, 2266, 2252])).
% 7.86/5.42 tff(2269,plain,
% 7.86/5.42 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB165) | (~nextState(constB164, constB165)) | ![B: $i] : ((~less_3(B)) | (v84(constB165, B) <=> v84(constB164, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB165) | (~nextState(constB164, constB165)) | ![B: $i] : ((~less_3(B)) | (v84(constB165, B) <=> v84(constB164, B))))),
% 7.86/5.42 inference(rewrite,[status(thm)],[])).
% 7.86/5.42 tff(2270,plain,
% 7.86/5.42 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB165) | (~nextState(constB164, constB165)) | ![B: $i] : ((~less_3(B)) | (v84(constB165, B) <=> v84(constB164, B))))),
% 7.86/5.42 inference(quant_inst,[status(thm)],[])).
% 7.86/5.42 tff(2271,plain,
% 7.86/5.42 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB165) | (~nextState(constB164, constB165)) | ![B: $i] : ((~less_3(B)) | (v84(constB165, B) <=> v84(constB164, B)))),
% 7.86/5.42 inference(modus_ponens,[status(thm)],[2270, 2269])).
% 7.86/5.42 tff(2272,plain,
% 7.86/5.42 (v94(constB165) | ![B: $i] : ((~less_3(B)) | (v84(constB165, B) <=> v84(constB164, B)))),
% 7.86/5.42 inference(unit_resolution,[status(thm)],[2271, 2248, 824])).
% 7.86/5.42 tff(2273,plain,
% 7.86/5.42 (![B: $i] : ((~less_3(B)) | (v84(constB165, B) <=> v84(constB164, B)))),
% 7.86/5.42 inference(unit_resolution,[status(thm)],[2272, 2268])).
% 7.86/5.42 tff(2274,plain,
% 7.86/5.42 (((~![B: $i] : ((~less_3(B)) | (v84(constB165, B) <=> v84(constB164, B)))) | ((~less_3(bitIndex2)) | (v84(constB165, bitIndex2) <=> v84(constB164, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB165, B) <=> v84(constB164, B)))) | (~less_3(bitIndex2)) | (v84(constB165, bitIndex2) <=> v84(constB164, bitIndex2)))),
% 7.86/5.42 inference(rewrite,[status(thm)],[])).
% 7.86/5.42 tff(2275,plain,
% 7.86/5.42 ((~![B: $i] : ((~less_3(B)) | (v84(constB165, B) <=> v84(constB164, B)))) | ((~less_3(bitIndex2)) | (v84(constB165, bitIndex2) <=> v84(constB164, bitIndex2)))),
% 7.86/5.42 inference(quant_inst,[status(thm)],[])).
% 7.86/5.42 tff(2276,plain,
% 7.86/5.42 ((~![B: $i] : ((~less_3(B)) | (v84(constB165, B) <=> v84(constB164, B)))) | (~less_3(bitIndex2)) | (v84(constB165, bitIndex2) <=> v84(constB164, bitIndex2))),
% 7.86/5.42 inference(modus_ponens,[status(thm)],[2275, 2274])).
% 7.86/5.42 tff(2277,plain,
% 7.86/5.42 (v84(constB165, bitIndex2) <=> v84(constB164, bitIndex2)),
% 7.86/5.42 inference(unit_resolution,[status(thm)],[2276, 832, 2273])).
% 7.86/5.42 tff(2278,plain,
% 7.86/5.42 (nextState(constB163, constB164) <=> nextState(constB163, constB164)),
% 7.86/5.42 inference(rewrite,[status(thm)],[])).
% 7.86/5.42 tff(2279,axiom,(nextState(constB163, constB164)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_163')).
% 7.86/5.42 tff(2280,plain,
% 7.86/5.42 (nextState(constB163, constB164)),
% 7.86/5.42 inference(modus_ponens,[status(thm)],[2279, 2278])).
% 7.86/5.42 tff(2281,plain,
% 7.86/5.42 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB163, constB164)) | (v94(constB164) <=> (~((~v104(constB164)) | (~v95(constB164))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB163, constB164)) | (v94(constB164) <=> (~((~v104(constB164)) | (~v95(constB164))))))),
% 7.86/5.42 inference(rewrite,[status(thm)],[])).
% 7.86/5.42 tff(2282,plain,
% 7.86/5.42 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB163, constB164)) | (v94(constB164) <=> (~((~v104(constB164)) | (~v95(constB164))))))),
% 7.86/5.42 inference(quant_inst,[status(thm)],[])).
% 7.86/5.42 tff(2283,plain,
% 7.86/5.42 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB163, constB164)) | (v94(constB164) <=> (~((~v104(constB164)) | (~v95(constB164)))))),
% 7.86/5.42 inference(modus_ponens,[status(thm)],[2282, 2281])).
% 7.86/5.42 tff(2284,plain,
% 7.86/5.42 (v94(constB164) <=> (~((~v104(constB164)) | (~v95(constB164))))),
% 7.86/5.42 inference(unit_resolution,[status(thm)],[2283, 2280, 775])).
% 7.86/5.42 tff(2285,plain,
% 7.86/5.42 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB163, constB164)) | (v95(constB164) <=> (~((~v1(constB164)) | (~v96(constB164))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB163, constB164)) | (v95(constB164) <=> (~((~v1(constB164)) | (~v96(constB164))))))),
% 7.86/5.42 inference(rewrite,[status(thm)],[])).
% 7.86/5.42 tff(2286,plain,
% 7.86/5.42 (((~nextState(constB163, constB164)) | (v95(constB164) <=> (~((~v96(constB164)) | (~v1(constB164)))))) <=> ((~nextState(constB163, constB164)) | (v95(constB164) <=> (~((~v1(constB164)) | (~v96(constB164))))))),
% 7.86/5.42 inference(rewrite,[status(thm)],[])).
% 7.86/5.42 tff(2287,plain,
% 7.86/5.42 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB163, constB164)) | (v95(constB164) <=> (~((~v96(constB164)) | (~v1(constB164))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB163, constB164)) | (v95(constB164) <=> (~((~v1(constB164)) | (~v96(constB164)))))))),
% 7.86/5.42 inference(monotonicity,[status(thm)],[2286])).
% 7.86/5.42 tff(2288,plain,
% 7.86/5.42 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB163, constB164)) | (v95(constB164) <=> (~((~v96(constB164)) | (~v1(constB164))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB163, constB164)) | (v95(constB164) <=> (~((~v1(constB164)) | (~v96(constB164))))))),
% 7.86/5.42 inference(transitivity,[status(thm)],[2287, 2285])).
% 7.86/5.42 tff(2289,plain,
% 7.86/5.42 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB163, constB164)) | (v95(constB164) <=> (~((~v96(constB164)) | (~v1(constB164))))))),
% 7.86/5.42 inference(quant_inst,[status(thm)],[])).
% 7.86/5.42 tff(2290,plain,
% 7.86/5.42 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB163, constB164)) | (v95(constB164) <=> (~((~v1(constB164)) | (~v96(constB164)))))),
% 7.86/5.42 inference(modus_ponens,[status(thm)],[2289, 2288])).
% 7.86/5.42 tff(2291,plain,
% 7.86/5.42 (v95(constB164) <=> (~((~v1(constB164)) | (~v96(constB164))))),
% 7.86/5.42 inference(unit_resolution,[status(thm)],[2290, 2280, 795])).
% 7.86/5.42 tff(2292,plain,
% 7.86/5.42 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB163, constB164)) | ((~v96(constB164)) <=> v98(constB164)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB163, constB164)) | ((~v96(constB164)) <=> v98(constB164)))),
% 7.86/5.42 inference(rewrite,[status(thm)],[])).
% 7.86/5.42 tff(2293,plain,
% 7.86/5.42 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB163, constB164)) | ((~v96(constB164)) <=> v98(constB164)))),
% 7.86/5.42 inference(quant_inst,[status(thm)],[])).
% 7.86/5.42 tff(2294,plain,
% 7.86/5.42 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB163, constB164)) | ((~v96(constB164)) <=> v98(constB164))),
% 7.86/5.42 inference(modus_ponens,[status(thm)],[2293, 2292])).
% 7.86/5.42 tff(2295,plain,
% 7.86/5.42 ((~v96(constB164)) <=> v98(constB164)),
% 7.86/5.42 inference(unit_resolution,[status(thm)],[2294, 2280, 860])).
% 7.86/5.42 tff(2296,plain,
% 7.86/5.42 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB163, constB164)) | (v98(constB164) <=> v1(constB163)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB163, constB164)) | (v98(constB164) <=> v1(constB163)))),
% 7.86/5.42 inference(rewrite,[status(thm)],[])).
% 7.86/5.42 tff(2297,plain,
% 7.86/5.42 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB163, constB164)) | (v98(constB164) <=> v1(constB163)))),
% 7.86/5.42 inference(quant_inst,[status(thm)],[])).
% 7.86/5.42 tff(2298,plain,
% 7.86/5.42 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB163, constB164)) | (v98(constB164) <=> v1(constB163))),
% 7.86/5.42 inference(modus_ponens,[status(thm)],[2297, 2296])).
% 7.86/5.42 tff(2299,plain,
% 7.86/5.42 (v98(constB164) <=> v1(constB163)),
% 7.86/5.42 inference(unit_resolution,[status(thm)],[2298, 2280, 874])).
% 7.86/5.42 tff(2300,plain,
% 7.86/5.42 ((~v1(constB163)) <=> (~v1(constB163))),
% 7.86/5.42 inference(rewrite,[status(thm)],[])).
% 7.86/5.42 tff(2301,axiom,(~v1(constB163)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_163')).
% 7.86/5.42 tff(2302,plain,
% 7.86/5.42 (~v1(constB163)),
% 7.86/5.42 inference(modus_ponens,[status(thm)],[2301, 2300])).
% 7.86/5.42 tff(2303,plain,
% 7.86/5.42 ((~(v98(constB164) <=> v1(constB163))) | (~v98(constB164)) | v1(constB163)),
% 7.86/5.42 inference(tautology,[status(thm)],[])).
% 7.86/5.42 tff(2304,plain,
% 7.86/5.42 ((~(v98(constB164) <=> v1(constB163))) | (~v98(constB164))),
% 7.86/5.42 inference(unit_resolution,[status(thm)],[2303, 2302])).
% 7.86/5.42 tff(2305,plain,
% 7.86/5.42 (~v98(constB164)),
% 7.86/5.42 inference(unit_resolution,[status(thm)],[2304, 2299])).
% 7.86/5.42 tff(2306,plain,
% 7.86/5.42 ((~((~v96(constB164)) <=> v98(constB164))) | v96(constB164) | v98(constB164)),
% 7.86/5.42 inference(tautology,[status(thm)],[])).
% 7.86/5.42 tff(2307,plain,
% 7.86/5.42 (v96(constB164)),
% 7.86/5.42 inference(unit_resolution,[status(thm)],[2306, 2305, 2295])).
% 7.86/5.42 tff(2308,plain,
% 7.86/5.42 (v1(constB164) <=> v1(constB164)),
% 7.86/5.42 inference(rewrite,[status(thm)],[])).
% 7.86/5.42 tff(2309,axiom,(v1(constB164)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_164')).
% 7.86/5.42 tff(2310,plain,
% 7.86/5.42 (v1(constB164)),
% 7.86/5.42 inference(modus_ponens,[status(thm)],[2309, 2308])).
% 7.86/5.42 tff(2311,plain,
% 7.86/5.42 ((~((~v1(constB164)) | (~v96(constB164)))) | (~v1(constB164)) | (~v96(constB164))),
% 7.86/5.42 inference(tautology,[status(thm)],[])).
% 7.86/5.42 tff(2312,plain,
% 7.86/5.42 ((~((~v1(constB164)) | (~v96(constB164)))) | (~v96(constB164))),
% 7.86/5.42 inference(unit_resolution,[status(thm)],[2311, 2310])).
% 7.86/5.42 tff(2313,plain,
% 7.86/5.42 (~((~v1(constB164)) | (~v96(constB164)))),
% 7.86/5.42 inference(unit_resolution,[status(thm)],[2312, 2307])).
% 7.86/5.42 tff(2314,plain,
% 7.86/5.42 ((~(v95(constB164) <=> (~((~v1(constB164)) | (~v96(constB164)))))) | v95(constB164) | ((~v1(constB164)) | (~v96(constB164)))),
% 7.86/5.42 inference(tautology,[status(thm)],[])).
% 7.86/5.42 tff(2315,plain,
% 7.86/5.42 (v95(constB164)),
% 7.86/5.42 inference(unit_resolution,[status(thm)],[2314, 2313, 2291])).
% 7.86/5.42 tff(2316,plain,
% 7.86/5.42 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB163, constB164)) | (v104(constB164) <=> v102(constB163)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB163, constB164)) | (v104(constB164) <=> v102(constB163)))),
% 7.86/5.42 inference(rewrite,[status(thm)],[])).
% 7.86/5.42 tff(2317,plain,
% 7.86/5.42 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB163, constB164)) | (v104(constB164) <=> v102(constB163)))),
% 7.86/5.42 inference(quant_inst,[status(thm)],[])).
% 7.86/5.42 tff(2318,plain,
% 7.86/5.42 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB163, constB164)) | (v104(constB164) <=> v102(constB163))),
% 7.86/5.42 inference(modus_ponens,[status(thm)],[2317, 2316])).
% 7.86/5.42 tff(2319,plain,
% 7.86/5.42 (v104(constB164) <=> v102(constB163)),
% 7.86/5.42 inference(unit_resolution,[status(thm)],[2318, 2280, 904])).
% 7.86/5.42 tff(2320,plain,
% 7.86/5.42 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB163) <=> (v105(constB163) | v106(constB163)))),
% 7.86/5.42 inference(quant_inst,[status(thm)],[])).
% 7.86/5.42 tff(2321,plain,
% 7.86/5.42 (v102(constB163) <=> (v105(constB163) | v106(constB163))),
% 7.86/5.42 inference(unit_resolution,[status(thm)],[2320, 915])).
% 7.86/5.42 tff(2322,plain,
% 7.86/5.42 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB163) <=> (~((~v107(constB163)) | (~v120(constB163)))))),
% 7.86/5.42 inference(quant_inst,[status(thm)],[])).
% 7.86/5.42 tff(2323,plain,
% 7.86/5.42 (v106(constB163) <=> (~((~v107(constB163)) | (~v120(constB163))))),
% 7.86/5.42 inference(unit_resolution,[status(thm)],[2322, 927])).
% 7.86/5.42 tff(2324,plain,
% 7.86/5.42 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB163) <=> (v108(constB163) | v119(constB163)))),
% 7.86/5.42 inference(quant_inst,[status(thm)],[])).
% 7.86/5.42 tff(2325,plain,
% 7.86/5.42 (v107(constB163) <=> (v108(constB163) | v119(constB163))),
% 7.86/5.42 inference(unit_resolution,[status(thm)],[2324, 936])).
% 7.86/5.42 tff(2326,plain,
% 7.86/5.42 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB163) <=> (v109(constB163) | v118(constB163)))),
% 7.86/5.42 inference(quant_inst,[status(thm)],[])).
% 7.86/5.42 tff(2327,plain,
% 7.86/5.42 (v108(constB163) <=> (v109(constB163) | v118(constB163))),
% 7.86/5.42 inference(unit_resolution,[status(thm)],[2326, 945])).
% 7.86/5.42 tff(2328,plain,
% 7.86/5.42 ((~![VarCurr: $i] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB163) <=> (v110(constB163) | v117(constB163)))),
% 7.86/5.42 inference(quant_inst,[status(thm)],[])).
% 7.86/5.42 tff(2329,plain,
% 7.86/5.42 (v109(constB163) <=> (v110(constB163) | v117(constB163))),
% 7.86/5.42 inference(unit_resolution,[status(thm)],[2328, 1056])).
% 7.86/5.42 tff(2330,plain,
% 7.86/5.42 ((~![VarCurr: $i] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB163) <=> (v111(constB163) | v116(constB163)))),
% 7.86/5.42 inference(quant_inst,[status(thm)],[])).
% 7.86/5.42 tff(2331,plain,
% 7.86/5.42 (v110(constB163) <=> (v111(constB163) | v116(constB163))),
% 7.86/5.42 inference(unit_resolution,[status(thm)],[2330, 1169])).
% 7.86/5.42 tff(2332,plain,
% 7.86/5.42 ((~![VarCurr: $i] : (v116(VarCurr) <=> (~(v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex0)))))) | (v116(constB163) <=> (~(v84(constB163, bitIndex2) | (~v84(constB163, bitIndex1)) | (~v84(constB163, bitIndex0)))))),
% 7.86/5.42 inference(quant_inst,[status(thm)],[])).
% 7.86/5.42 tff(2333,plain,
% 7.86/5.42 (v116(constB163) <=> (~(v84(constB163, bitIndex2) | (~v84(constB163, bitIndex1)) | (~v84(constB163, bitIndex0))))),
% 7.86/5.42 inference(unit_resolution,[status(thm)],[2332, 1184])).
% 7.86/5.42 tff(2334,plain,
% 7.86/5.42 (nextState(constB162, constB163) <=> nextState(constB162, constB163)),
% 7.86/5.42 inference(rewrite,[status(thm)],[])).
% 7.86/5.42 tff(2335,axiom,(nextState(constB162, constB163)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_162')).
% 7.86/5.42 tff(2336,plain,
% 7.86/5.42 (nextState(constB162, constB163)),
% 7.86/5.42 inference(modus_ponens,[status(thm)],[2335, 2334])).
% 7.86/5.42 tff(2337,plain,
% 7.86/5.42 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB162, constB163)) | (v94(constB163) <=> (~((~v104(constB163)) | (~v95(constB163))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB162, constB163)) | (v94(constB163) <=> (~((~v104(constB163)) | (~v95(constB163))))))),
% 7.86/5.42 inference(rewrite,[status(thm)],[])).
% 7.86/5.42 tff(2338,plain,
% 7.86/5.42 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB162, constB163)) | (v94(constB163) <=> (~((~v104(constB163)) | (~v95(constB163))))))),
% 7.86/5.42 inference(quant_inst,[status(thm)],[])).
% 7.86/5.42 tff(2339,plain,
% 7.86/5.42 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB162, constB163)) | (v94(constB163) <=> (~((~v104(constB163)) | (~v95(constB163)))))),
% 7.86/5.42 inference(modus_ponens,[status(thm)],[2338, 2337])).
% 7.86/5.42 tff(2340,plain,
% 7.86/5.42 (v94(constB163) <=> (~((~v104(constB163)) | (~v95(constB163))))),
% 7.86/5.42 inference(unit_resolution,[status(thm)],[2339, 2336, 775])).
% 7.86/5.42 tff(2341,plain,
% 7.86/5.42 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB162, constB163)) | (v95(constB163) <=> (~((~v1(constB163)) | (~v96(constB163))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB162, constB163)) | (v95(constB163) <=> (~((~v1(constB163)) | (~v96(constB163))))))),
% 7.86/5.42 inference(rewrite,[status(thm)],[])).
% 7.86/5.42 tff(2342,plain,
% 7.86/5.42 (((~nextState(constB162, constB163)) | (v95(constB163) <=> (~((~v96(constB163)) | (~v1(constB163)))))) <=> ((~nextState(constB162, constB163)) | (v95(constB163) <=> (~((~v1(constB163)) | (~v96(constB163))))))),
% 7.86/5.42 inference(rewrite,[status(thm)],[])).
% 7.86/5.42 tff(2343,plain,
% 7.86/5.42 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB162, constB163)) | (v95(constB163) <=> (~((~v96(constB163)) | (~v1(constB163))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB162, constB163)) | (v95(constB163) <=> (~((~v1(constB163)) | (~v96(constB163)))))))),
% 7.86/5.42 inference(monotonicity,[status(thm)],[2342])).
% 7.86/5.42 tff(2344,plain,
% 7.86/5.42 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB162, constB163)) | (v95(constB163) <=> (~((~v96(constB163)) | (~v1(constB163))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB162, constB163)) | (v95(constB163) <=> (~((~v1(constB163)) | (~v96(constB163))))))),
% 7.86/5.42 inference(transitivity,[status(thm)],[2343, 2341])).
% 7.86/5.42 tff(2345,plain,
% 7.86/5.42 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB162, constB163)) | (v95(constB163) <=> (~((~v96(constB163)) | (~v1(constB163))))))),
% 7.86/5.42 inference(quant_inst,[status(thm)],[])).
% 7.86/5.42 tff(2346,plain,
% 7.86/5.42 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB162, constB163)) | (v95(constB163) <=> (~((~v1(constB163)) | (~v96(constB163)))))),
% 7.86/5.42 inference(modus_ponens,[status(thm)],[2345, 2344])).
% 7.86/5.42 tff(2347,plain,
% 7.86/5.42 (v95(constB163) <=> (~((~v1(constB163)) | (~v96(constB163))))),
% 7.86/5.42 inference(unit_resolution,[status(thm)],[2346, 2336, 795])).
% 7.86/5.42 tff(2348,plain,
% 7.86/5.42 (((~v1(constB163)) | (~v96(constB163))) | v1(constB163)),
% 7.86/5.42 inference(tautology,[status(thm)],[])).
% 7.86/5.42 tff(2349,plain,
% 7.86/5.42 ((~v1(constB163)) | (~v96(constB163))),
% 7.86/5.42 inference(unit_resolution,[status(thm)],[2348, 2302])).
% 7.86/5.42 tff(2350,plain,
% 7.86/5.42 ((~(v95(constB163) <=> (~((~v1(constB163)) | (~v96(constB163)))))) | (~v95(constB163)) | (~((~v1(constB163)) | (~v96(constB163))))),
% 7.86/5.42 inference(tautology,[status(thm)],[])).
% 7.86/5.42 tff(2351,plain,
% 7.86/5.42 ((~(v95(constB163) <=> (~((~v1(constB163)) | (~v96(constB163)))))) | (~v95(constB163))),
% 7.86/5.42 inference(unit_resolution,[status(thm)],[2350, 2349])).
% 7.86/5.42 tff(2352,plain,
% 7.86/5.42 (~v95(constB163)),
% 7.86/5.42 inference(unit_resolution,[status(thm)],[2351, 2347])).
% 7.86/5.42 tff(2353,plain,
% 7.86/5.42 (((~v104(constB163)) | (~v95(constB163))) | v95(constB163)),
% 7.86/5.42 inference(tautology,[status(thm)],[])).
% 7.86/5.42 tff(2354,plain,
% 7.86/5.42 ((~v104(constB163)) | (~v95(constB163))),
% 7.86/5.42 inference(unit_resolution,[status(thm)],[2353, 2352])).
% 7.86/5.42 tff(2355,plain,
% 7.86/5.42 ((~(v94(constB163) <=> (~((~v104(constB163)) | (~v95(constB163)))))) | (~v94(constB163)) | (~((~v104(constB163)) | (~v95(constB163))))),
% 7.86/5.42 inference(tautology,[status(thm)],[])).
% 7.86/5.42 tff(2356,plain,
% 7.86/5.42 (~v94(constB163)),
% 7.86/5.42 inference(unit_resolution,[status(thm)],[2355, 2354, 2340])).
% 7.86/5.42 tff(2357,plain,
% 7.86/5.42 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB163) | (~nextState(constB162, constB163)) | ![B: $i] : ((~less_3(B)) | (v84(constB163, B) <=> v84(constB162, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB163) | (~nextState(constB162, constB163)) | ![B: $i] : ((~less_3(B)) | (v84(constB163, B) <=> v84(constB162, B))))),
% 7.86/5.42 inference(rewrite,[status(thm)],[])).
% 7.86/5.42 tff(2358,plain,
% 7.86/5.42 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB163) | (~nextState(constB162, constB163)) | ![B: $i] : ((~less_3(B)) | (v84(constB163, B) <=> v84(constB162, B))))),
% 7.86/5.42 inference(quant_inst,[status(thm)],[])).
% 7.86/5.42 tff(2359,plain,
% 7.86/5.42 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB163) | (~nextState(constB162, constB163)) | ![B: $i] : ((~less_3(B)) | (v84(constB163, B) <=> v84(constB162, B)))),
% 7.86/5.42 inference(modus_ponens,[status(thm)],[2358, 2357])).
% 7.86/5.42 tff(2360,plain,
% 7.86/5.42 (v94(constB163) | ![B: $i] : ((~less_3(B)) | (v84(constB163, B) <=> v84(constB162, B)))),
% 7.86/5.42 inference(unit_resolution,[status(thm)],[2359, 2336, 824])).
% 7.86/5.42 tff(2361,plain,
% 7.86/5.42 (![B: $i] : ((~less_3(B)) | (v84(constB163, B) <=> v84(constB162, B)))),
% 7.86/5.42 inference(unit_resolution,[status(thm)],[2360, 2356])).
% 7.86/5.42 tff(2362,plain,
% 7.86/5.42 (((~![B: $i] : ((~less_3(B)) | (v84(constB163, B) <=> v84(constB162, B)))) | ((~less_3(bitIndex2)) | (v84(constB163, bitIndex2) <=> v84(constB162, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB163, B) <=> v84(constB162, B)))) | (~less_3(bitIndex2)) | (v84(constB163, bitIndex2) <=> v84(constB162, bitIndex2)))),
% 7.86/5.42 inference(rewrite,[status(thm)],[])).
% 7.86/5.42 tff(2363,plain,
% 7.86/5.42 ((~![B: $i] : ((~less_3(B)) | (v84(constB163, B) <=> v84(constB162, B)))) | ((~less_3(bitIndex2)) | (v84(constB163, bitIndex2) <=> v84(constB162, bitIndex2)))),
% 7.86/5.42 inference(quant_inst,[status(thm)],[])).
% 7.86/5.42 tff(2364,plain,
% 7.86/5.42 ((~![B: $i] : ((~less_3(B)) | (v84(constB163, B) <=> v84(constB162, B)))) | (~less_3(bitIndex2)) | (v84(constB163, bitIndex2) <=> v84(constB162, bitIndex2))),
% 7.86/5.42 inference(modus_ponens,[status(thm)],[2363, 2362])).
% 7.86/5.42 tff(2365,plain,
% 7.86/5.42 (v84(constB163, bitIndex2) <=> v84(constB162, bitIndex2)),
% 7.86/5.42 inference(unit_resolution,[status(thm)],[2364, 832, 2361])).
% 7.86/5.42 tff(2366,plain,
% 7.86/5.42 (nextState(constB161, constB162) <=> nextState(constB161, constB162)),
% 7.86/5.42 inference(rewrite,[status(thm)],[])).
% 7.86/5.42 tff(2367,axiom,(nextState(constB161, constB162)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_161')).
% 7.86/5.42 tff(2368,plain,
% 7.86/5.42 (nextState(constB161, constB162)),
% 7.86/5.42 inference(modus_ponens,[status(thm)],[2367, 2366])).
% 7.86/5.42 tff(2369,plain,
% 7.86/5.42 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB161, constB162)) | (v94(constB162) <=> (~((~v104(constB162)) | (~v95(constB162))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB161, constB162)) | (v94(constB162) <=> (~((~v104(constB162)) | (~v95(constB162))))))),
% 7.86/5.42 inference(rewrite,[status(thm)],[])).
% 7.86/5.42 tff(2370,plain,
% 7.86/5.42 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB161, constB162)) | (v94(constB162) <=> (~((~v104(constB162)) | (~v95(constB162))))))),
% 7.86/5.42 inference(quant_inst,[status(thm)],[])).
% 7.86/5.42 tff(2371,plain,
% 7.86/5.42 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB161, constB162)) | (v94(constB162) <=> (~((~v104(constB162)) | (~v95(constB162)))))),
% 7.86/5.42 inference(modus_ponens,[status(thm)],[2370, 2369])).
% 7.86/5.42 tff(2372,plain,
% 7.86/5.42 (v94(constB162) <=> (~((~v104(constB162)) | (~v95(constB162))))),
% 7.86/5.42 inference(unit_resolution,[status(thm)],[2371, 2368, 775])).
% 7.86/5.42 tff(2373,plain,
% 7.86/5.42 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB161, constB162)) | (v95(constB162) <=> (~((~v1(constB162)) | (~v96(constB162))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB161, constB162)) | (v95(constB162) <=> (~((~v1(constB162)) | (~v96(constB162))))))),
% 7.86/5.42 inference(rewrite,[status(thm)],[])).
% 7.86/5.42 tff(2374,plain,
% 7.86/5.42 (((~nextState(constB161, constB162)) | (v95(constB162) <=> (~((~v96(constB162)) | (~v1(constB162)))))) <=> ((~nextState(constB161, constB162)) | (v95(constB162) <=> (~((~v1(constB162)) | (~v96(constB162))))))),
% 7.86/5.42 inference(rewrite,[status(thm)],[])).
% 7.86/5.42 tff(2375,plain,
% 7.86/5.42 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB161, constB162)) | (v95(constB162) <=> (~((~v96(constB162)) | (~v1(constB162))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB161, constB162)) | (v95(constB162) <=> (~((~v1(constB162)) | (~v96(constB162)))))))),
% 7.86/5.42 inference(monotonicity,[status(thm)],[2374])).
% 7.86/5.42 tff(2376,plain,
% 7.86/5.42 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB161, constB162)) | (v95(constB162) <=> (~((~v96(constB162)) | (~v1(constB162))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB161, constB162)) | (v95(constB162) <=> (~((~v1(constB162)) | (~v96(constB162))))))),
% 7.86/5.42 inference(transitivity,[status(thm)],[2375, 2373])).
% 7.86/5.42 tff(2377,plain,
% 7.86/5.42 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB161, constB162)) | (v95(constB162) <=> (~((~v96(constB162)) | (~v1(constB162))))))),
% 7.86/5.42 inference(quant_inst,[status(thm)],[])).
% 7.86/5.42 tff(2378,plain,
% 7.86/5.42 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB161, constB162)) | (v95(constB162) <=> (~((~v1(constB162)) | (~v96(constB162)))))),
% 7.86/5.42 inference(modus_ponens,[status(thm)],[2377, 2376])).
% 7.86/5.42 tff(2379,plain,
% 7.86/5.42 (v95(constB162) <=> (~((~v1(constB162)) | (~v96(constB162))))),
% 7.86/5.42 inference(unit_resolution,[status(thm)],[2378, 2368, 795])).
% 7.86/5.42 tff(2380,plain,
% 7.86/5.42 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB161, constB162)) | ((~v96(constB162)) <=> v98(constB162)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB161, constB162)) | ((~v96(constB162)) <=> v98(constB162)))),
% 7.86/5.42 inference(rewrite,[status(thm)],[])).
% 7.86/5.42 tff(2381,plain,
% 7.86/5.42 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB161, constB162)) | ((~v96(constB162)) <=> v98(constB162)))),
% 7.86/5.42 inference(quant_inst,[status(thm)],[])).
% 7.86/5.42 tff(2382,plain,
% 7.86/5.42 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB161, constB162)) | ((~v96(constB162)) <=> v98(constB162))),
% 7.86/5.42 inference(modus_ponens,[status(thm)],[2381, 2380])).
% 7.86/5.42 tff(2383,plain,
% 7.86/5.42 ((~v96(constB162)) <=> v98(constB162)),
% 7.86/5.42 inference(unit_resolution,[status(thm)],[2382, 2368, 860])).
% 7.86/5.42 tff(2384,plain,
% 7.86/5.42 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB161, constB162)) | (v98(constB162) <=> v1(constB161)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB161, constB162)) | (v98(constB162) <=> v1(constB161)))),
% 7.86/5.42 inference(rewrite,[status(thm)],[])).
% 7.86/5.42 tff(2385,plain,
% 7.86/5.42 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB161, constB162)) | (v98(constB162) <=> v1(constB161)))),
% 7.86/5.42 inference(quant_inst,[status(thm)],[])).
% 7.86/5.42 tff(2386,plain,
% 7.86/5.42 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB161, constB162)) | (v98(constB162) <=> v1(constB161))),
% 7.86/5.42 inference(modus_ponens,[status(thm)],[2385, 2384])).
% 7.86/5.42 tff(2387,plain,
% 7.86/5.42 (v98(constB162) <=> v1(constB161)),
% 7.86/5.42 inference(unit_resolution,[status(thm)],[2386, 2368, 874])).
% 7.86/5.42 tff(2388,plain,
% 7.86/5.42 ((~v1(constB161)) <=> (~v1(constB161))),
% 7.86/5.42 inference(rewrite,[status(thm)],[])).
% 7.86/5.42 tff(2389,axiom,(~v1(constB161)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_161')).
% 7.86/5.42 tff(2390,plain,
% 7.86/5.42 (~v1(constB161)),
% 7.86/5.42 inference(modus_ponens,[status(thm)],[2389, 2388])).
% 7.86/5.42 tff(2391,plain,
% 7.86/5.42 ((~(v98(constB162) <=> v1(constB161))) | (~v98(constB162)) | v1(constB161)),
% 7.86/5.42 inference(tautology,[status(thm)],[])).
% 7.86/5.42 tff(2392,plain,
% 7.86/5.42 ((~(v98(constB162) <=> v1(constB161))) | (~v98(constB162))),
% 7.86/5.42 inference(unit_resolution,[status(thm)],[2391, 2390])).
% 7.86/5.42 tff(2393,plain,
% 7.86/5.42 (~v98(constB162)),
% 7.86/5.42 inference(unit_resolution,[status(thm)],[2392, 2387])).
% 7.86/5.42 tff(2394,plain,
% 7.86/5.42 ((~((~v96(constB162)) <=> v98(constB162))) | v96(constB162) | v98(constB162)),
% 7.86/5.42 inference(tautology,[status(thm)],[])).
% 7.86/5.42 tff(2395,plain,
% 7.86/5.42 (v96(constB162)),
% 7.86/5.42 inference(unit_resolution,[status(thm)],[2394, 2393, 2383])).
% 7.86/5.42 tff(2396,plain,
% 7.86/5.42 (v1(constB162) <=> v1(constB162)),
% 7.86/5.42 inference(rewrite,[status(thm)],[])).
% 7.86/5.42 tff(2397,axiom,(v1(constB162)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_162')).
% 7.86/5.42 tff(2398,plain,
% 7.86/5.42 (v1(constB162)),
% 7.86/5.42 inference(modus_ponens,[status(thm)],[2397, 2396])).
% 7.86/5.42 tff(2399,plain,
% 7.86/5.42 ((~((~v1(constB162)) | (~v96(constB162)))) | (~v1(constB162)) | (~v96(constB162))),
% 7.86/5.42 inference(tautology,[status(thm)],[])).
% 7.86/5.42 tff(2400,plain,
% 7.86/5.42 ((~((~v1(constB162)) | (~v96(constB162)))) | (~v96(constB162))),
% 7.86/5.42 inference(unit_resolution,[status(thm)],[2399, 2398])).
% 7.86/5.42 tff(2401,plain,
% 7.86/5.42 (~((~v1(constB162)) | (~v96(constB162)))),
% 7.86/5.42 inference(unit_resolution,[status(thm)],[2400, 2395])).
% 7.86/5.42 tff(2402,plain,
% 7.86/5.42 ((~(v95(constB162) <=> (~((~v1(constB162)) | (~v96(constB162)))))) | v95(constB162) | ((~v1(constB162)) | (~v96(constB162)))),
% 7.86/5.42 inference(tautology,[status(thm)],[])).
% 7.86/5.42 tff(2403,plain,
% 7.86/5.42 (v95(constB162)),
% 7.86/5.42 inference(unit_resolution,[status(thm)],[2402, 2401, 2379])).
% 7.86/5.42 tff(2404,plain,
% 7.86/5.42 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB161, constB162)) | (v104(constB162) <=> v102(constB161)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB161, constB162)) | (v104(constB162) <=> v102(constB161)))),
% 7.86/5.42 inference(rewrite,[status(thm)],[])).
% 7.86/5.42 tff(2405,plain,
% 7.86/5.42 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB161, constB162)) | (v104(constB162) <=> v102(constB161)))),
% 7.86/5.42 inference(quant_inst,[status(thm)],[])).
% 7.86/5.42 tff(2406,plain,
% 7.86/5.42 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB161, constB162)) | (v104(constB162) <=> v102(constB161))),
% 7.86/5.42 inference(modus_ponens,[status(thm)],[2405, 2404])).
% 7.86/5.42 tff(2407,plain,
% 7.86/5.42 (v104(constB162) <=> v102(constB161)),
% 7.86/5.42 inference(unit_resolution,[status(thm)],[2406, 2368, 904])).
% 7.86/5.42 tff(2408,plain,
% 7.86/5.42 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB161) <=> (v105(constB161) | v106(constB161)))),
% 7.86/5.42 inference(quant_inst,[status(thm)],[])).
% 7.86/5.42 tff(2409,plain,
% 7.86/5.42 (v102(constB161) <=> (v105(constB161) | v106(constB161))),
% 7.86/5.42 inference(unit_resolution,[status(thm)],[2408, 915])).
% 7.86/5.42 tff(2410,plain,
% 7.86/5.42 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB161) <=> (~((~v107(constB161)) | (~v120(constB161)))))),
% 7.86/5.42 inference(quant_inst,[status(thm)],[])).
% 7.86/5.42 tff(2411,plain,
% 7.86/5.42 (v106(constB161) <=> (~((~v107(constB161)) | (~v120(constB161))))),
% 7.86/5.42 inference(unit_resolution,[status(thm)],[2410, 927])).
% 7.86/5.42 tff(2412,plain,
% 7.86/5.42 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB161) <=> (v108(constB161) | v119(constB161)))),
% 7.86/5.42 inference(quant_inst,[status(thm)],[])).
% 7.86/5.42 tff(2413,plain,
% 7.86/5.42 (v107(constB161) <=> (v108(constB161) | v119(constB161))),
% 7.86/5.42 inference(unit_resolution,[status(thm)],[2412, 936])).
% 7.86/5.42 tff(2414,plain,
% 7.86/5.42 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB161) <=> (v109(constB161) | v118(constB161)))),
% 7.86/5.42 inference(quant_inst,[status(thm)],[])).
% 7.86/5.42 tff(2415,plain,
% 7.86/5.42 (v108(constB161) <=> (v109(constB161) | v118(constB161))),
% 7.86/5.42 inference(unit_resolution,[status(thm)],[2414, 945])).
% 7.86/5.42 tff(2416,plain,
% 7.86/5.42 ((~![VarCurr: $i] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB161) <=> (v110(constB161) | v117(constB161)))),
% 7.86/5.42 inference(quant_inst,[status(thm)],[])).
% 7.86/5.43 tff(2417,plain,
% 7.86/5.43 (v109(constB161) <=> (v110(constB161) | v117(constB161))),
% 7.86/5.43 inference(unit_resolution,[status(thm)],[2416, 1056])).
% 7.86/5.43 tff(2418,plain,
% 7.86/5.43 ((~![VarCurr: $i] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB161) <=> (v111(constB161) | v116(constB161)))),
% 7.86/5.43 inference(quant_inst,[status(thm)],[])).
% 7.86/5.43 tff(2419,plain,
% 7.86/5.43 (v110(constB161) <=> (v111(constB161) | v116(constB161))),
% 7.86/5.43 inference(unit_resolution,[status(thm)],[2418, 1169])).
% 7.86/5.43 tff(2420,plain,
% 7.86/5.43 ((~![VarCurr: $i] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB161) <=> (v112(constB161) | v115(constB161)))),
% 7.86/5.43 inference(quant_inst,[status(thm)],[])).
% 7.86/5.43 tff(2421,plain,
% 7.86/5.43 (v111(constB161) <=> (v112(constB161) | v115(constB161))),
% 7.86/5.43 inference(unit_resolution,[status(thm)],[2420, 1279])).
% 7.86/5.43 tff(2422,plain,
% 7.86/5.43 (((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB161) <=> (~(v84(constB161, bitIndex2) | (~v84(constB161, bitIndex1)) | v84(constB161, bitIndex0))))) <=> ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB161) <=> (~(v84(constB161, bitIndex2) | (~v84(constB161, bitIndex1)) | v84(constB161, bitIndex0)))))),
% 7.86/5.43 inference(rewrite,[status(thm)],[])).
% 7.86/5.43 tff(2423,plain,
% 7.86/5.43 ((v115(constB161) <=> (~(v84(constB161, bitIndex0) | v84(constB161, bitIndex2) | (~v84(constB161, bitIndex1))))) <=> (v115(constB161) <=> (~(v84(constB161, bitIndex2) | (~v84(constB161, bitIndex1)) | v84(constB161, bitIndex0))))),
% 7.86/5.43 inference(rewrite,[status(thm)],[])).
% 7.86/5.43 tff(2424,plain,
% 7.86/5.43 (((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB161) <=> (~(v84(constB161, bitIndex0) | v84(constB161, bitIndex2) | (~v84(constB161, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB161) <=> (~(v84(constB161, bitIndex2) | (~v84(constB161, bitIndex1)) | v84(constB161, bitIndex0)))))),
% 7.86/5.43 inference(monotonicity,[status(thm)],[2423])).
% 7.86/5.43 tff(2425,plain,
% 7.86/5.43 (((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB161) <=> (~(v84(constB161, bitIndex0) | v84(constB161, bitIndex2) | (~v84(constB161, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB161) <=> (~(v84(constB161, bitIndex2) | (~v84(constB161, bitIndex1)) | v84(constB161, bitIndex0)))))),
% 7.86/5.43 inference(transitivity,[status(thm)],[2424, 2422])).
% 7.86/5.43 tff(2426,plain,
% 7.86/5.43 ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB161) <=> (~(v84(constB161, bitIndex0) | v84(constB161, bitIndex2) | (~v84(constB161, bitIndex1)))))),
% 7.86/5.43 inference(quant_inst,[status(thm)],[])).
% 7.86/5.43 tff(2427,plain,
% 7.86/5.43 ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB161) <=> (~(v84(constB161, bitIndex2) | (~v84(constB161, bitIndex1)) | v84(constB161, bitIndex0))))),
% 7.86/5.43 inference(modus_ponens,[status(thm)],[2426, 2425])).
% 7.86/5.43 tff(2428,plain,
% 7.86/5.43 (v115(constB161) <=> (~(v84(constB161, bitIndex2) | (~v84(constB161, bitIndex1)) | v84(constB161, bitIndex0)))),
% 7.86/5.43 inference(unit_resolution,[status(thm)],[2427, 1294])).
% 7.86/5.43 tff(2429,plain,
% 7.86/5.43 (nextState(constB160, constB161) <=> nextState(constB160, constB161)),
% 7.86/5.43 inference(rewrite,[status(thm)],[])).
% 7.86/5.43 tff(2430,axiom,(nextState(constB160, constB161)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_160')).
% 7.86/5.43 tff(2431,plain,
% 7.86/5.43 (nextState(constB160, constB161)),
% 7.86/5.43 inference(modus_ponens,[status(thm)],[2430, 2429])).
% 7.86/5.43 tff(2432,plain,
% 7.86/5.43 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB160, constB161)) | (v94(constB161) <=> (~((~v104(constB161)) | (~v95(constB161))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB160, constB161)) | (v94(constB161) <=> (~((~v104(constB161)) | (~v95(constB161))))))),
% 7.86/5.43 inference(rewrite,[status(thm)],[])).
% 7.86/5.43 tff(2433,plain,
% 7.86/5.43 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB160, constB161)) | (v94(constB161) <=> (~((~v104(constB161)) | (~v95(constB161))))))),
% 7.86/5.43 inference(quant_inst,[status(thm)],[])).
% 7.86/5.43 tff(2434,plain,
% 7.86/5.43 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB160, constB161)) | (v94(constB161) <=> (~((~v104(constB161)) | (~v95(constB161)))))),
% 7.86/5.43 inference(modus_ponens,[status(thm)],[2433, 2432])).
% 7.86/5.43 tff(2435,plain,
% 7.86/5.43 (v94(constB161) <=> (~((~v104(constB161)) | (~v95(constB161))))),
% 7.86/5.43 inference(unit_resolution,[status(thm)],[2434, 2431, 775])).
% 7.86/5.43 tff(2436,plain,
% 7.86/5.43 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB160, constB161)) | (v95(constB161) <=> (~((~v1(constB161)) | (~v96(constB161))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB160, constB161)) | (v95(constB161) <=> (~((~v1(constB161)) | (~v96(constB161))))))),
% 7.86/5.43 inference(rewrite,[status(thm)],[])).
% 7.86/5.43 tff(2437,plain,
% 7.86/5.43 (((~nextState(constB160, constB161)) | (v95(constB161) <=> (~((~v96(constB161)) | (~v1(constB161)))))) <=> ((~nextState(constB160, constB161)) | (v95(constB161) <=> (~((~v1(constB161)) | (~v96(constB161))))))),
% 7.86/5.43 inference(rewrite,[status(thm)],[])).
% 7.86/5.43 tff(2438,plain,
% 7.86/5.43 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB160, constB161)) | (v95(constB161) <=> (~((~v96(constB161)) | (~v1(constB161))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB160, constB161)) | (v95(constB161) <=> (~((~v1(constB161)) | (~v96(constB161)))))))),
% 7.86/5.43 inference(monotonicity,[status(thm)],[2437])).
% 7.86/5.43 tff(2439,plain,
% 7.86/5.43 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB160, constB161)) | (v95(constB161) <=> (~((~v96(constB161)) | (~v1(constB161))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB160, constB161)) | (v95(constB161) <=> (~((~v1(constB161)) | (~v96(constB161))))))),
% 7.86/5.43 inference(transitivity,[status(thm)],[2438, 2436])).
% 7.86/5.43 tff(2440,plain,
% 7.86/5.43 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB160, constB161)) | (v95(constB161) <=> (~((~v96(constB161)) | (~v1(constB161))))))),
% 7.86/5.43 inference(quant_inst,[status(thm)],[])).
% 7.86/5.43 tff(2441,plain,
% 7.86/5.43 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB160, constB161)) | (v95(constB161) <=> (~((~v1(constB161)) | (~v96(constB161)))))),
% 7.86/5.43 inference(modus_ponens,[status(thm)],[2440, 2439])).
% 7.86/5.43 tff(2442,plain,
% 7.86/5.43 (v95(constB161) <=> (~((~v1(constB161)) | (~v96(constB161))))),
% 7.86/5.43 inference(unit_resolution,[status(thm)],[2441, 2431, 795])).
% 7.86/5.43 tff(2443,plain,
% 7.86/5.43 (((~v1(constB161)) | (~v96(constB161))) | v1(constB161)),
% 7.86/5.43 inference(tautology,[status(thm)],[])).
% 7.86/5.43 tff(2444,plain,
% 7.86/5.43 ((~v1(constB161)) | (~v96(constB161))),
% 7.86/5.43 inference(unit_resolution,[status(thm)],[2443, 2390])).
% 7.86/5.43 tff(2445,plain,
% 7.86/5.43 ((~(v95(constB161) <=> (~((~v1(constB161)) | (~v96(constB161)))))) | (~v95(constB161)) | (~((~v1(constB161)) | (~v96(constB161))))),
% 7.86/5.43 inference(tautology,[status(thm)],[])).
% 7.86/5.43 tff(2446,plain,
% 7.86/5.43 ((~(v95(constB161) <=> (~((~v1(constB161)) | (~v96(constB161)))))) | (~v95(constB161))),
% 7.86/5.43 inference(unit_resolution,[status(thm)],[2445, 2444])).
% 7.86/5.43 tff(2447,plain,
% 7.86/5.43 (~v95(constB161)),
% 7.86/5.43 inference(unit_resolution,[status(thm)],[2446, 2442])).
% 7.86/5.43 tff(2448,plain,
% 7.86/5.43 (((~v104(constB161)) | (~v95(constB161))) | v95(constB161)),
% 7.86/5.43 inference(tautology,[status(thm)],[])).
% 7.86/5.43 tff(2449,plain,
% 7.86/5.43 ((~v104(constB161)) | (~v95(constB161))),
% 7.86/5.43 inference(unit_resolution,[status(thm)],[2448, 2447])).
% 7.86/5.43 tff(2450,plain,
% 7.86/5.43 ((~(v94(constB161) <=> (~((~v104(constB161)) | (~v95(constB161)))))) | (~v94(constB161)) | (~((~v104(constB161)) | (~v95(constB161))))),
% 7.86/5.43 inference(tautology,[status(thm)],[])).
% 7.86/5.43 tff(2451,plain,
% 7.86/5.43 (~v94(constB161)),
% 7.86/5.43 inference(unit_resolution,[status(thm)],[2450, 2449, 2435])).
% 7.86/5.43 tff(2452,plain,
% 7.86/5.43 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB161) | (~nextState(constB160, constB161)) | ![B: $i] : ((~less_3(B)) | (v84(constB161, B) <=> v84(constB160, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB161) | (~nextState(constB160, constB161)) | ![B: $i] : ((~less_3(B)) | (v84(constB161, B) <=> v84(constB160, B))))),
% 7.86/5.43 inference(rewrite,[status(thm)],[])).
% 7.86/5.43 tff(2453,plain,
% 7.86/5.43 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB161) | (~nextState(constB160, constB161)) | ![B: $i] : ((~less_3(B)) | (v84(constB161, B) <=> v84(constB160, B))))),
% 7.86/5.43 inference(quant_inst,[status(thm)],[])).
% 7.86/5.43 tff(2454,plain,
% 7.86/5.43 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB161) | (~nextState(constB160, constB161)) | ![B: $i] : ((~less_3(B)) | (v84(constB161, B) <=> v84(constB160, B)))),
% 7.86/5.43 inference(modus_ponens,[status(thm)],[2453, 2452])).
% 7.86/5.43 tff(2455,plain,
% 7.86/5.43 (v94(constB161) | ![B: $i] : ((~less_3(B)) | (v84(constB161, B) <=> v84(constB160, B)))),
% 7.86/5.43 inference(unit_resolution,[status(thm)],[2454, 2431, 824])).
% 7.86/5.43 tff(2456,plain,
% 7.86/5.43 (![B: $i] : ((~less_3(B)) | (v84(constB161, B) <=> v84(constB160, B)))),
% 7.86/5.43 inference(unit_resolution,[status(thm)],[2455, 2451])).
% 7.86/5.43 tff(2457,plain,
% 7.86/5.43 (((~![B: $i] : ((~less_3(B)) | (v84(constB161, B) <=> v84(constB160, B)))) | ((~less_3(bitIndex2)) | (v84(constB161, bitIndex2) <=> v84(constB160, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB161, B) <=> v84(constB160, B)))) | (~less_3(bitIndex2)) | (v84(constB161, bitIndex2) <=> v84(constB160, bitIndex2)))),
% 7.86/5.43 inference(rewrite,[status(thm)],[])).
% 7.86/5.43 tff(2458,plain,
% 7.86/5.43 ((~![B: $i] : ((~less_3(B)) | (v84(constB161, B) <=> v84(constB160, B)))) | ((~less_3(bitIndex2)) | (v84(constB161, bitIndex2) <=> v84(constB160, bitIndex2)))),
% 7.86/5.43 inference(quant_inst,[status(thm)],[])).
% 7.86/5.43 tff(2459,plain,
% 7.86/5.43 ((~![B: $i] : ((~less_3(B)) | (v84(constB161, B) <=> v84(constB160, B)))) | (~less_3(bitIndex2)) | (v84(constB161, bitIndex2) <=> v84(constB160, bitIndex2))),
% 7.86/5.43 inference(modus_ponens,[status(thm)],[2458, 2457])).
% 7.86/5.43 tff(2460,plain,
% 7.86/5.43 (v84(constB161, bitIndex2) <=> v84(constB160, bitIndex2)),
% 7.86/5.43 inference(unit_resolution,[status(thm)],[2459, 832, 2456])).
% 7.86/5.43 tff(2461,plain,
% 7.86/5.43 (nextState(constB159, constB160) <=> nextState(constB159, constB160)),
% 7.86/5.43 inference(rewrite,[status(thm)],[])).
% 7.86/5.43 tff(2462,axiom,(nextState(constB159, constB160)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_159')).
% 7.86/5.43 tff(2463,plain,
% 7.86/5.43 (nextState(constB159, constB160)),
% 7.86/5.43 inference(modus_ponens,[status(thm)],[2462, 2461])).
% 7.86/5.43 tff(2464,plain,
% 7.86/5.43 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB159, constB160)) | (v94(constB160) <=> (~((~v104(constB160)) | (~v95(constB160))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB159, constB160)) | (v94(constB160) <=> (~((~v104(constB160)) | (~v95(constB160))))))),
% 7.86/5.43 inference(rewrite,[status(thm)],[])).
% 7.86/5.43 tff(2465,plain,
% 7.86/5.43 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB159, constB160)) | (v94(constB160) <=> (~((~v104(constB160)) | (~v95(constB160))))))),
% 7.86/5.43 inference(quant_inst,[status(thm)],[])).
% 7.86/5.43 tff(2466,plain,
% 7.86/5.43 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB159, constB160)) | (v94(constB160) <=> (~((~v104(constB160)) | (~v95(constB160)))))),
% 7.86/5.43 inference(modus_ponens,[status(thm)],[2465, 2464])).
% 7.86/5.43 tff(2467,plain,
% 7.86/5.43 (v94(constB160) <=> (~((~v104(constB160)) | (~v95(constB160))))),
% 7.86/5.43 inference(unit_resolution,[status(thm)],[2466, 2463, 775])).
% 7.86/5.43 tff(2468,plain,
% 7.86/5.43 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB159, constB160)) | (v95(constB160) <=> (~((~v1(constB160)) | (~v96(constB160))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB159, constB160)) | (v95(constB160) <=> (~((~v1(constB160)) | (~v96(constB160))))))),
% 7.86/5.43 inference(rewrite,[status(thm)],[])).
% 7.86/5.43 tff(2469,plain,
% 7.86/5.43 (((~nextState(constB159, constB160)) | (v95(constB160) <=> (~((~v96(constB160)) | (~v1(constB160)))))) <=> ((~nextState(constB159, constB160)) | (v95(constB160) <=> (~((~v1(constB160)) | (~v96(constB160))))))),
% 7.86/5.43 inference(rewrite,[status(thm)],[])).
% 7.86/5.43 tff(2470,plain,
% 7.86/5.43 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB159, constB160)) | (v95(constB160) <=> (~((~v96(constB160)) | (~v1(constB160))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB159, constB160)) | (v95(constB160) <=> (~((~v1(constB160)) | (~v96(constB160)))))))),
% 7.86/5.43 inference(monotonicity,[status(thm)],[2469])).
% 7.86/5.43 tff(2471,plain,
% 7.86/5.43 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB159, constB160)) | (v95(constB160) <=> (~((~v96(constB160)) | (~v1(constB160))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB159, constB160)) | (v95(constB160) <=> (~((~v1(constB160)) | (~v96(constB160))))))),
% 7.86/5.43 inference(transitivity,[status(thm)],[2470, 2468])).
% 7.86/5.43 tff(2472,plain,
% 7.86/5.43 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB159, constB160)) | (v95(constB160) <=> (~((~v96(constB160)) | (~v1(constB160))))))),
% 7.86/5.43 inference(quant_inst,[status(thm)],[])).
% 7.86/5.43 tff(2473,plain,
% 7.86/5.43 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB159, constB160)) | (v95(constB160) <=> (~((~v1(constB160)) | (~v96(constB160)))))),
% 7.86/5.43 inference(modus_ponens,[status(thm)],[2472, 2471])).
% 7.86/5.43 tff(2474,plain,
% 7.86/5.43 (v95(constB160) <=> (~((~v1(constB160)) | (~v96(constB160))))),
% 7.86/5.43 inference(unit_resolution,[status(thm)],[2473, 2463, 795])).
% 7.86/5.43 tff(2475,plain,
% 7.86/5.43 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB159, constB160)) | ((~v96(constB160)) <=> v98(constB160)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB159, constB160)) | ((~v96(constB160)) <=> v98(constB160)))),
% 7.86/5.43 inference(rewrite,[status(thm)],[])).
% 7.86/5.43 tff(2476,plain,
% 7.86/5.43 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB159, constB160)) | ((~v96(constB160)) <=> v98(constB160)))),
% 7.86/5.43 inference(quant_inst,[status(thm)],[])).
% 7.86/5.43 tff(2477,plain,
% 7.86/5.43 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB159, constB160)) | ((~v96(constB160)) <=> v98(constB160))),
% 7.86/5.43 inference(modus_ponens,[status(thm)],[2476, 2475])).
% 7.86/5.43 tff(2478,plain,
% 7.86/5.43 ((~v96(constB160)) <=> v98(constB160)),
% 7.86/5.43 inference(unit_resolution,[status(thm)],[2477, 2463, 860])).
% 7.86/5.43 tff(2479,plain,
% 7.86/5.43 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB159, constB160)) | (v98(constB160) <=> v1(constB159)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB159, constB160)) | (v98(constB160) <=> v1(constB159)))),
% 7.86/5.43 inference(rewrite,[status(thm)],[])).
% 7.86/5.43 tff(2480,plain,
% 7.86/5.43 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB159, constB160)) | (v98(constB160) <=> v1(constB159)))),
% 7.86/5.43 inference(quant_inst,[status(thm)],[])).
% 7.86/5.43 tff(2481,plain,
% 7.86/5.43 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB159, constB160)) | (v98(constB160) <=> v1(constB159))),
% 7.86/5.43 inference(modus_ponens,[status(thm)],[2480, 2479])).
% 7.86/5.43 tff(2482,plain,
% 7.86/5.43 (v98(constB160) <=> v1(constB159)),
% 7.86/5.43 inference(unit_resolution,[status(thm)],[2481, 2463, 874])).
% 7.86/5.43 tff(2483,plain,
% 7.86/5.43 ((~v1(constB159)) <=> (~v1(constB159))),
% 7.86/5.43 inference(rewrite,[status(thm)],[])).
% 7.86/5.43 tff(2484,axiom,(~v1(constB159)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_159')).
% 7.86/5.43 tff(2485,plain,
% 7.86/5.43 (~v1(constB159)),
% 7.86/5.43 inference(modus_ponens,[status(thm)],[2484, 2483])).
% 7.86/5.43 tff(2486,plain,
% 7.86/5.43 ((~(v98(constB160) <=> v1(constB159))) | (~v98(constB160)) | v1(constB159)),
% 7.86/5.43 inference(tautology,[status(thm)],[])).
% 7.86/5.43 tff(2487,plain,
% 7.86/5.43 ((~(v98(constB160) <=> v1(constB159))) | (~v98(constB160))),
% 7.86/5.43 inference(unit_resolution,[status(thm)],[2486, 2485])).
% 7.86/5.43 tff(2488,plain,
% 7.86/5.43 (~v98(constB160)),
% 7.86/5.43 inference(unit_resolution,[status(thm)],[2487, 2482])).
% 7.86/5.43 tff(2489,plain,
% 7.86/5.43 ((~((~v96(constB160)) <=> v98(constB160))) | v96(constB160) | v98(constB160)),
% 7.86/5.43 inference(tautology,[status(thm)],[])).
% 7.86/5.43 tff(2490,plain,
% 7.86/5.43 (v96(constB160)),
% 7.86/5.43 inference(unit_resolution,[status(thm)],[2489, 2488, 2478])).
% 7.86/5.43 tff(2491,plain,
% 7.86/5.43 (v1(constB160) <=> v1(constB160)),
% 7.86/5.43 inference(rewrite,[status(thm)],[])).
% 7.86/5.43 tff(2492,axiom,(v1(constB160)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_160')).
% 7.86/5.43 tff(2493,plain,
% 7.86/5.43 (v1(constB160)),
% 7.86/5.43 inference(modus_ponens,[status(thm)],[2492, 2491])).
% 7.86/5.43 tff(2494,plain,
% 7.86/5.43 ((~((~v1(constB160)) | (~v96(constB160)))) | (~v1(constB160)) | (~v96(constB160))),
% 7.86/5.43 inference(tautology,[status(thm)],[])).
% 7.86/5.43 tff(2495,plain,
% 7.86/5.43 ((~((~v1(constB160)) | (~v96(constB160)))) | (~v96(constB160))),
% 7.86/5.43 inference(unit_resolution,[status(thm)],[2494, 2493])).
% 7.86/5.43 tff(2496,plain,
% 7.86/5.43 (~((~v1(constB160)) | (~v96(constB160)))),
% 7.86/5.43 inference(unit_resolution,[status(thm)],[2495, 2490])).
% 7.86/5.43 tff(2497,plain,
% 7.86/5.43 ((~(v95(constB160) <=> (~((~v1(constB160)) | (~v96(constB160)))))) | v95(constB160) | ((~v1(constB160)) | (~v96(constB160)))),
% 7.86/5.43 inference(tautology,[status(thm)],[])).
% 7.86/5.43 tff(2498,plain,
% 7.86/5.43 (v95(constB160)),
% 7.86/5.43 inference(unit_resolution,[status(thm)],[2497, 2496, 2474])).
% 7.86/5.43 tff(2499,plain,
% 7.86/5.43 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB159, constB160)) | (v104(constB160) <=> v102(constB159)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB159, constB160)) | (v104(constB160) <=> v102(constB159)))),
% 7.86/5.43 inference(rewrite,[status(thm)],[])).
% 7.86/5.43 tff(2500,plain,
% 7.86/5.43 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB159, constB160)) | (v104(constB160) <=> v102(constB159)))),
% 7.86/5.43 inference(quant_inst,[status(thm)],[])).
% 7.86/5.43 tff(2501,plain,
% 7.86/5.43 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB159, constB160)) | (v104(constB160) <=> v102(constB159))),
% 7.86/5.43 inference(modus_ponens,[status(thm)],[2500, 2499])).
% 7.86/5.43 tff(2502,plain,
% 7.86/5.43 (v104(constB160) <=> v102(constB159)),
% 7.86/5.43 inference(unit_resolution,[status(thm)],[2501, 2463, 904])).
% 7.86/5.43 tff(2503,plain,
% 7.86/5.43 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB159) <=> (v105(constB159) | v106(constB159)))),
% 7.86/5.43 inference(quant_inst,[status(thm)],[])).
% 7.86/5.43 tff(2504,plain,
% 7.86/5.43 (v102(constB159) <=> (v105(constB159) | v106(constB159))),
% 7.86/5.43 inference(unit_resolution,[status(thm)],[2503, 915])).
% 7.86/5.43 tff(2505,plain,
% 7.86/5.43 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB159) <=> (~((~v107(constB159)) | (~v120(constB159)))))),
% 7.86/5.43 inference(quant_inst,[status(thm)],[])).
% 7.86/5.43 tff(2506,plain,
% 7.86/5.43 (v106(constB159) <=> (~((~v107(constB159)) | (~v120(constB159))))),
% 7.86/5.43 inference(unit_resolution,[status(thm)],[2505, 927])).
% 7.86/5.43 tff(2507,plain,
% 7.86/5.43 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB159) <=> (v108(constB159) | v119(constB159)))),
% 7.86/5.43 inference(quant_inst,[status(thm)],[])).
% 7.86/5.43 tff(2508,plain,
% 7.86/5.43 (v107(constB159) <=> (v108(constB159) | v119(constB159))),
% 7.86/5.43 inference(unit_resolution,[status(thm)],[2507, 936])).
% 7.86/5.43 tff(2509,plain,
% 7.86/5.43 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB159) <=> (v109(constB159) | v118(constB159)))),
% 7.86/5.43 inference(quant_inst,[status(thm)],[])).
% 7.86/5.43 tff(2510,plain,
% 7.86/5.43 (v108(constB159) <=> (v109(constB159) | v118(constB159))),
% 7.86/5.43 inference(unit_resolution,[status(thm)],[2509, 945])).
% 7.86/5.43 tff(2511,plain,
% 7.86/5.43 ((~![VarCurr: $i] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB159) <=> (v110(constB159) | v117(constB159)))),
% 7.86/5.43 inference(quant_inst,[status(thm)],[])).
% 7.86/5.43 tff(2512,plain,
% 7.86/5.43 (v109(constB159) <=> (v110(constB159) | v117(constB159))),
% 7.86/5.43 inference(unit_resolution,[status(thm)],[2511, 1056])).
% 7.86/5.43 tff(2513,plain,
% 7.86/5.43 ((~![VarCurr: $i] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB159) <=> (v111(constB159) | v116(constB159)))),
% 7.86/5.43 inference(quant_inst,[status(thm)],[])).
% 7.86/5.43 tff(2514,plain,
% 7.86/5.43 (v110(constB159) <=> (v111(constB159) | v116(constB159))),
% 7.86/5.43 inference(unit_resolution,[status(thm)],[2513, 1169])).
% 7.86/5.43 tff(2515,plain,
% 7.86/5.43 ((~![VarCurr: $i] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB159) <=> (v112(constB159) | v115(constB159)))),
% 7.86/5.43 inference(quant_inst,[status(thm)],[])).
% 7.86/5.43 tff(2516,plain,
% 7.86/5.43 (v111(constB159) <=> (v112(constB159) | v115(constB159))),
% 7.86/5.43 inference(unit_resolution,[status(thm)],[2515, 1279])).
% 7.86/5.43 tff(2517,plain,
% 7.86/5.43 ((~![VarCurr: $i] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))) | (v112(constB159) <=> (v113(constB159) | v114(constB159)))),
% 7.86/5.43 inference(quant_inst,[status(thm)],[])).
% 7.86/5.43 tff(2518,plain,
% 7.86/5.43 (v112(constB159) <=> (v113(constB159) | v114(constB159))),
% 7.86/5.43 inference(unit_resolution,[status(thm)],[2517, 1396])).
% 7.86/5.43 tff(2519,plain,
% 7.86/5.43 (((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB159) <=> (~(v84(constB159, bitIndex2) | v84(constB159, bitIndex1) | (~v84(constB159, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB159) <=> (~(v84(constB159, bitIndex2) | v84(constB159, bitIndex1) | (~v84(constB159, bitIndex0))))))),
% 7.86/5.43 inference(rewrite,[status(thm)],[])).
% 7.86/5.43 tff(2520,plain,
% 7.86/5.43 ((v114(constB159) <=> (~(v84(constB159, bitIndex1) | v84(constB159, bitIndex2) | (~v84(constB159, bitIndex0))))) <=> (v114(constB159) <=> (~(v84(constB159, bitIndex2) | v84(constB159, bitIndex1) | (~v84(constB159, bitIndex0)))))),
% 7.86/5.43 inference(rewrite,[status(thm)],[])).
% 7.86/5.43 tff(2521,plain,
% 7.86/5.43 (((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB159) <=> (~(v84(constB159, bitIndex1) | v84(constB159, bitIndex2) | (~v84(constB159, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB159) <=> (~(v84(constB159, bitIndex2) | v84(constB159, bitIndex1) | (~v84(constB159, bitIndex0))))))),
% 7.86/5.43 inference(monotonicity,[status(thm)],[2520])).
% 7.86/5.43 tff(2522,plain,
% 7.86/5.43 (((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB159) <=> (~(v84(constB159, bitIndex1) | v84(constB159, bitIndex2) | (~v84(constB159, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB159) <=> (~(v84(constB159, bitIndex2) | v84(constB159, bitIndex1) | (~v84(constB159, bitIndex0))))))),
% 7.86/5.43 inference(transitivity,[status(thm)],[2521, 2519])).
% 7.86/5.43 tff(2523,plain,
% 7.86/5.43 ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB159) <=> (~(v84(constB159, bitIndex1) | v84(constB159, bitIndex2) | (~v84(constB159, bitIndex0)))))),
% 7.86/5.43 inference(quant_inst,[status(thm)],[])).
% 7.86/5.43 tff(2524,plain,
% 7.86/5.43 ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB159) <=> (~(v84(constB159, bitIndex2) | v84(constB159, bitIndex1) | (~v84(constB159, bitIndex0)))))),
% 7.86/5.43 inference(modus_ponens,[status(thm)],[2523, 2522])).
% 7.86/5.43 tff(2525,plain,
% 7.86/5.43 (v114(constB159) <=> (~(v84(constB159, bitIndex2) | v84(constB159, bitIndex1) | (~v84(constB159, bitIndex0))))),
% 7.86/5.43 inference(unit_resolution,[status(thm)],[2524, 1411])).
% 7.86/5.43 tff(2526,plain,
% 7.86/5.43 (nextState(constB158, constB159) <=> nextState(constB158, constB159)),
% 7.86/5.43 inference(rewrite,[status(thm)],[])).
% 7.86/5.43 tff(2527,axiom,(nextState(constB158, constB159)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_158')).
% 7.86/5.43 tff(2528,plain,
% 7.86/5.43 (nextState(constB158, constB159)),
% 7.86/5.43 inference(modus_ponens,[status(thm)],[2527, 2526])).
% 7.86/5.43 tff(2529,plain,
% 7.86/5.43 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB158, constB159)) | (v94(constB159) <=> (~((~v104(constB159)) | (~v95(constB159))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB158, constB159)) | (v94(constB159) <=> (~((~v104(constB159)) | (~v95(constB159))))))),
% 7.86/5.43 inference(rewrite,[status(thm)],[])).
% 7.86/5.43 tff(2530,plain,
% 7.86/5.43 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB158, constB159)) | (v94(constB159) <=> (~((~v104(constB159)) | (~v95(constB159))))))),
% 7.86/5.43 inference(quant_inst,[status(thm)],[])).
% 7.86/5.43 tff(2531,plain,
% 7.86/5.43 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB158, constB159)) | (v94(constB159) <=> (~((~v104(constB159)) | (~v95(constB159)))))),
% 7.86/5.43 inference(modus_ponens,[status(thm)],[2530, 2529])).
% 7.86/5.43 tff(2532,plain,
% 7.86/5.43 (v94(constB159) <=> (~((~v104(constB159)) | (~v95(constB159))))),
% 7.86/5.43 inference(unit_resolution,[status(thm)],[2531, 2528, 775])).
% 7.86/5.43 tff(2533,plain,
% 7.86/5.43 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB158, constB159)) | (v95(constB159) <=> (~((~v1(constB159)) | (~v96(constB159))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB158, constB159)) | (v95(constB159) <=> (~((~v1(constB159)) | (~v96(constB159))))))),
% 7.86/5.43 inference(rewrite,[status(thm)],[])).
% 7.86/5.43 tff(2534,plain,
% 7.86/5.43 (((~nextState(constB158, constB159)) | (v95(constB159) <=> (~((~v96(constB159)) | (~v1(constB159)))))) <=> ((~nextState(constB158, constB159)) | (v95(constB159) <=> (~((~v1(constB159)) | (~v96(constB159))))))),
% 7.86/5.43 inference(rewrite,[status(thm)],[])).
% 7.86/5.43 tff(2535,plain,
% 7.86/5.43 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB158, constB159)) | (v95(constB159) <=> (~((~v96(constB159)) | (~v1(constB159))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB158, constB159)) | (v95(constB159) <=> (~((~v1(constB159)) | (~v96(constB159)))))))),
% 7.86/5.43 inference(monotonicity,[status(thm)],[2534])).
% 7.86/5.43 tff(2536,plain,
% 7.86/5.43 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB158, constB159)) | (v95(constB159) <=> (~((~v96(constB159)) | (~v1(constB159))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB158, constB159)) | (v95(constB159) <=> (~((~v1(constB159)) | (~v96(constB159))))))),
% 7.86/5.43 inference(transitivity,[status(thm)],[2535, 2533])).
% 7.86/5.43 tff(2537,plain,
% 7.86/5.43 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB158, constB159)) | (v95(constB159) <=> (~((~v96(constB159)) | (~v1(constB159))))))),
% 7.86/5.43 inference(quant_inst,[status(thm)],[])).
% 7.86/5.43 tff(2538,plain,
% 7.86/5.43 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB158, constB159)) | (v95(constB159) <=> (~((~v1(constB159)) | (~v96(constB159)))))),
% 7.86/5.43 inference(modus_ponens,[status(thm)],[2537, 2536])).
% 7.86/5.43 tff(2539,plain,
% 7.86/5.43 (v95(constB159) <=> (~((~v1(constB159)) | (~v96(constB159))))),
% 7.86/5.43 inference(unit_resolution,[status(thm)],[2538, 2528, 795])).
% 7.86/5.43 tff(2540,plain,
% 7.86/5.43 (((~v1(constB159)) | (~v96(constB159))) | v1(constB159)),
% 7.86/5.43 inference(tautology,[status(thm)],[])).
% 7.86/5.43 tff(2541,plain,
% 7.86/5.43 ((~v1(constB159)) | (~v96(constB159))),
% 7.86/5.43 inference(unit_resolution,[status(thm)],[2540, 2485])).
% 7.86/5.43 tff(2542,plain,
% 7.86/5.43 ((~(v95(constB159) <=> (~((~v1(constB159)) | (~v96(constB159)))))) | (~v95(constB159)) | (~((~v1(constB159)) | (~v96(constB159))))),
% 7.86/5.43 inference(tautology,[status(thm)],[])).
% 7.86/5.43 tff(2543,plain,
% 7.86/5.43 ((~(v95(constB159) <=> (~((~v1(constB159)) | (~v96(constB159)))))) | (~v95(constB159))),
% 7.86/5.43 inference(unit_resolution,[status(thm)],[2542, 2541])).
% 7.86/5.43 tff(2544,plain,
% 7.86/5.43 (~v95(constB159)),
% 7.86/5.43 inference(unit_resolution,[status(thm)],[2543, 2539])).
% 7.86/5.43 tff(2545,plain,
% 7.86/5.43 (((~v104(constB159)) | (~v95(constB159))) | v95(constB159)),
% 7.86/5.43 inference(tautology,[status(thm)],[])).
% 7.86/5.43 tff(2546,plain,
% 7.86/5.43 ((~v104(constB159)) | (~v95(constB159))),
% 7.86/5.43 inference(unit_resolution,[status(thm)],[2545, 2544])).
% 7.86/5.43 tff(2547,plain,
% 7.86/5.43 ((~(v94(constB159) <=> (~((~v104(constB159)) | (~v95(constB159)))))) | (~v94(constB159)) | (~((~v104(constB159)) | (~v95(constB159))))),
% 7.86/5.43 inference(tautology,[status(thm)],[])).
% 7.86/5.43 tff(2548,plain,
% 7.86/5.43 (~v94(constB159)),
% 7.86/5.43 inference(unit_resolution,[status(thm)],[2547, 2546, 2532])).
% 7.86/5.43 tff(2549,plain,
% 7.86/5.43 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB159) | (~nextState(constB158, constB159)) | ![B: $i] : ((~less_3(B)) | (v84(constB159, B) <=> v84(constB158, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB159) | (~nextState(constB158, constB159)) | ![B: $i] : ((~less_3(B)) | (v84(constB159, B) <=> v84(constB158, B))))),
% 7.86/5.43 inference(rewrite,[status(thm)],[])).
% 7.86/5.43 tff(2550,plain,
% 7.86/5.43 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB159) | (~nextState(constB158, constB159)) | ![B: $i] : ((~less_3(B)) | (v84(constB159, B) <=> v84(constB158, B))))),
% 7.86/5.43 inference(quant_inst,[status(thm)],[])).
% 7.86/5.43 tff(2551,plain,
% 7.86/5.43 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB159) | (~nextState(constB158, constB159)) | ![B: $i] : ((~less_3(B)) | (v84(constB159, B) <=> v84(constB158, B)))),
% 7.86/5.43 inference(modus_ponens,[status(thm)],[2550, 2549])).
% 7.86/5.43 tff(2552,plain,
% 7.86/5.43 (v94(constB159) | ![B: $i] : ((~less_3(B)) | (v84(constB159, B) <=> v84(constB158, B)))),
% 7.86/5.43 inference(unit_resolution,[status(thm)],[2551, 2528, 824])).
% 7.86/5.43 tff(2553,plain,
% 7.86/5.43 (![B: $i] : ((~less_3(B)) | (v84(constB159, B) <=> v84(constB158, B)))),
% 7.86/5.43 inference(unit_resolution,[status(thm)],[2552, 2548])).
% 7.86/5.43 tff(2554,plain,
% 7.86/5.43 (((~![B: $i] : ((~less_3(B)) | (v84(constB159, B) <=> v84(constB158, B)))) | ((~less_3(bitIndex2)) | (v84(constB159, bitIndex2) <=> v84(constB158, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB159, B) <=> v84(constB158, B)))) | (~less_3(bitIndex2)) | (v84(constB159, bitIndex2) <=> v84(constB158, bitIndex2)))),
% 7.86/5.43 inference(rewrite,[status(thm)],[])).
% 7.86/5.43 tff(2555,plain,
% 7.86/5.43 ((~![B: $i] : ((~less_3(B)) | (v84(constB159, B) <=> v84(constB158, B)))) | ((~less_3(bitIndex2)) | (v84(constB159, bitIndex2) <=> v84(constB158, bitIndex2)))),
% 7.86/5.43 inference(quant_inst,[status(thm)],[])).
% 7.86/5.43 tff(2556,plain,
% 7.86/5.43 ((~![B: $i] : ((~less_3(B)) | (v84(constB159, B) <=> v84(constB158, B)))) | (~less_3(bitIndex2)) | (v84(constB159, bitIndex2) <=> v84(constB158, bitIndex2))),
% 7.86/5.43 inference(modus_ponens,[status(thm)],[2555, 2554])).
% 7.86/5.43 tff(2557,plain,
% 7.86/5.43 (v84(constB159, bitIndex2) <=> v84(constB158, bitIndex2)),
% 7.86/5.43 inference(unit_resolution,[status(thm)],[2556, 832, 2553])).
% 7.86/5.43 tff(2558,plain,
% 7.86/5.43 (nextState(constB157, constB158) <=> nextState(constB157, constB158)),
% 7.86/5.43 inference(rewrite,[status(thm)],[])).
% 7.86/5.43 tff(2559,axiom,(nextState(constB157, constB158)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_157')).
% 7.86/5.43 tff(2560,plain,
% 7.86/5.43 (nextState(constB157, constB158)),
% 7.86/5.43 inference(modus_ponens,[status(thm)],[2559, 2558])).
% 7.86/5.43 tff(2561,plain,
% 7.86/5.43 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB157, constB158)) | (v94(constB158) <=> (~((~v104(constB158)) | (~v95(constB158))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB157, constB158)) | (v94(constB158) <=> (~((~v104(constB158)) | (~v95(constB158))))))),
% 7.86/5.43 inference(rewrite,[status(thm)],[])).
% 7.86/5.43 tff(2562,plain,
% 7.86/5.43 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB157, constB158)) | (v94(constB158) <=> (~((~v104(constB158)) | (~v95(constB158))))))),
% 7.86/5.43 inference(quant_inst,[status(thm)],[])).
% 7.86/5.43 tff(2563,plain,
% 7.86/5.43 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB157, constB158)) | (v94(constB158) <=> (~((~v104(constB158)) | (~v95(constB158)))))),
% 7.86/5.43 inference(modus_ponens,[status(thm)],[2562, 2561])).
% 7.86/5.43 tff(2564,plain,
% 7.86/5.43 (v94(constB158) <=> (~((~v104(constB158)) | (~v95(constB158))))),
% 7.86/5.43 inference(unit_resolution,[status(thm)],[2563, 2560, 775])).
% 7.86/5.43 tff(2565,plain,
% 7.86/5.43 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB157, constB158)) | (v95(constB158) <=> (~((~v1(constB158)) | (~v96(constB158))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB157, constB158)) | (v95(constB158) <=> (~((~v1(constB158)) | (~v96(constB158))))))),
% 7.86/5.44 inference(rewrite,[status(thm)],[])).
% 7.86/5.44 tff(2566,plain,
% 7.86/5.44 (((~nextState(constB157, constB158)) | (v95(constB158) <=> (~((~v96(constB158)) | (~v1(constB158)))))) <=> ((~nextState(constB157, constB158)) | (v95(constB158) <=> (~((~v1(constB158)) | (~v96(constB158))))))),
% 7.86/5.44 inference(rewrite,[status(thm)],[])).
% 7.86/5.44 tff(2567,plain,
% 7.86/5.44 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB157, constB158)) | (v95(constB158) <=> (~((~v96(constB158)) | (~v1(constB158))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB157, constB158)) | (v95(constB158) <=> (~((~v1(constB158)) | (~v96(constB158)))))))),
% 7.86/5.44 inference(monotonicity,[status(thm)],[2566])).
% 7.86/5.44 tff(2568,plain,
% 7.86/5.44 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB157, constB158)) | (v95(constB158) <=> (~((~v96(constB158)) | (~v1(constB158))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB157, constB158)) | (v95(constB158) <=> (~((~v1(constB158)) | (~v96(constB158))))))),
% 7.86/5.44 inference(transitivity,[status(thm)],[2567, 2565])).
% 7.86/5.44 tff(2569,plain,
% 7.86/5.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB157, constB158)) | (v95(constB158) <=> (~((~v96(constB158)) | (~v1(constB158))))))),
% 7.86/5.44 inference(quant_inst,[status(thm)],[])).
% 7.86/5.44 tff(2570,plain,
% 7.86/5.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB157, constB158)) | (v95(constB158) <=> (~((~v1(constB158)) | (~v96(constB158)))))),
% 7.86/5.44 inference(modus_ponens,[status(thm)],[2569, 2568])).
% 7.86/5.44 tff(2571,plain,
% 7.86/5.44 (v95(constB158) <=> (~((~v1(constB158)) | (~v96(constB158))))),
% 7.86/5.44 inference(unit_resolution,[status(thm)],[2570, 2560, 795])).
% 7.86/5.44 tff(2572,plain,
% 7.86/5.44 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB157, constB158)) | ((~v96(constB158)) <=> v98(constB158)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB157, constB158)) | ((~v96(constB158)) <=> v98(constB158)))),
% 7.86/5.44 inference(rewrite,[status(thm)],[])).
% 7.86/5.44 tff(2573,plain,
% 7.86/5.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB157, constB158)) | ((~v96(constB158)) <=> v98(constB158)))),
% 7.86/5.44 inference(quant_inst,[status(thm)],[])).
% 7.86/5.44 tff(2574,plain,
% 7.86/5.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB157, constB158)) | ((~v96(constB158)) <=> v98(constB158))),
% 7.86/5.44 inference(modus_ponens,[status(thm)],[2573, 2572])).
% 7.86/5.44 tff(2575,plain,
% 7.86/5.44 ((~v96(constB158)) <=> v98(constB158)),
% 7.86/5.44 inference(unit_resolution,[status(thm)],[2574, 2560, 860])).
% 7.86/5.44 tff(2576,plain,
% 7.86/5.44 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB157, constB158)) | (v98(constB158) <=> v1(constB157)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB157, constB158)) | (v98(constB158) <=> v1(constB157)))),
% 7.86/5.44 inference(rewrite,[status(thm)],[])).
% 7.86/5.44 tff(2577,plain,
% 7.86/5.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB157, constB158)) | (v98(constB158) <=> v1(constB157)))),
% 7.86/5.44 inference(quant_inst,[status(thm)],[])).
% 7.86/5.44 tff(2578,plain,
% 7.86/5.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB157, constB158)) | (v98(constB158) <=> v1(constB157))),
% 7.86/5.44 inference(modus_ponens,[status(thm)],[2577, 2576])).
% 7.86/5.44 tff(2579,plain,
% 7.86/5.44 (v98(constB158) <=> v1(constB157)),
% 7.86/5.44 inference(unit_resolution,[status(thm)],[2578, 2560, 874])).
% 7.86/5.44 tff(2580,plain,
% 7.86/5.44 ((~v1(constB157)) <=> (~v1(constB157))),
% 7.86/5.44 inference(rewrite,[status(thm)],[])).
% 7.86/5.44 tff(2581,axiom,(~v1(constB157)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_157')).
% 7.86/5.44 tff(2582,plain,
% 7.86/5.44 (~v1(constB157)),
% 7.86/5.44 inference(modus_ponens,[status(thm)],[2581, 2580])).
% 7.86/5.44 tff(2583,plain,
% 7.86/5.44 ((~(v98(constB158) <=> v1(constB157))) | (~v98(constB158)) | v1(constB157)),
% 7.86/5.44 inference(tautology,[status(thm)],[])).
% 7.86/5.44 tff(2584,plain,
% 7.86/5.44 ((~(v98(constB158) <=> v1(constB157))) | (~v98(constB158))),
% 7.86/5.44 inference(unit_resolution,[status(thm)],[2583, 2582])).
% 7.86/5.44 tff(2585,plain,
% 7.86/5.44 (~v98(constB158)),
% 7.86/5.44 inference(unit_resolution,[status(thm)],[2584, 2579])).
% 7.86/5.44 tff(2586,plain,
% 7.86/5.44 ((~((~v96(constB158)) <=> v98(constB158))) | v96(constB158) | v98(constB158)),
% 7.86/5.44 inference(tautology,[status(thm)],[])).
% 7.86/5.44 tff(2587,plain,
% 7.86/5.44 (v96(constB158)),
% 7.86/5.44 inference(unit_resolution,[status(thm)],[2586, 2585, 2575])).
% 7.86/5.44 tff(2588,plain,
% 7.86/5.44 (v1(constB158) <=> v1(constB158)),
% 7.86/5.44 inference(rewrite,[status(thm)],[])).
% 7.86/5.44 tff(2589,axiom,(v1(constB158)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_158')).
% 7.86/5.44 tff(2590,plain,
% 7.86/5.44 (v1(constB158)),
% 7.86/5.44 inference(modus_ponens,[status(thm)],[2589, 2588])).
% 7.86/5.44 tff(2591,plain,
% 7.86/5.44 ((~((~v1(constB158)) | (~v96(constB158)))) | (~v1(constB158)) | (~v96(constB158))),
% 7.86/5.44 inference(tautology,[status(thm)],[])).
% 7.86/5.44 tff(2592,plain,
% 7.86/5.44 ((~((~v1(constB158)) | (~v96(constB158)))) | (~v96(constB158))),
% 7.86/5.44 inference(unit_resolution,[status(thm)],[2591, 2590])).
% 7.86/5.44 tff(2593,plain,
% 7.86/5.44 (~((~v1(constB158)) | (~v96(constB158)))),
% 7.86/5.44 inference(unit_resolution,[status(thm)],[2592, 2587])).
% 7.86/5.44 tff(2594,plain,
% 7.86/5.44 ((~(v95(constB158) <=> (~((~v1(constB158)) | (~v96(constB158)))))) | v95(constB158) | ((~v1(constB158)) | (~v96(constB158)))),
% 7.86/5.44 inference(tautology,[status(thm)],[])).
% 7.86/5.44 tff(2595,plain,
% 7.86/5.44 (v95(constB158)),
% 7.86/5.44 inference(unit_resolution,[status(thm)],[2594, 2593, 2571])).
% 7.86/5.44 tff(2596,plain,
% 7.86/5.44 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB157, constB158)) | (v104(constB158) <=> v102(constB157)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB157, constB158)) | (v104(constB158) <=> v102(constB157)))),
% 7.86/5.44 inference(rewrite,[status(thm)],[])).
% 7.86/5.44 tff(2597,plain,
% 7.86/5.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB157, constB158)) | (v104(constB158) <=> v102(constB157)))),
% 7.86/5.44 inference(quant_inst,[status(thm)],[])).
% 7.86/5.44 tff(2598,plain,
% 7.86/5.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB157, constB158)) | (v104(constB158) <=> v102(constB157))),
% 7.86/5.44 inference(modus_ponens,[status(thm)],[2597, 2596])).
% 7.86/5.44 tff(2599,plain,
% 7.86/5.44 (v104(constB158) <=> v102(constB157)),
% 7.86/5.44 inference(unit_resolution,[status(thm)],[2598, 2560, 904])).
% 7.86/5.44 tff(2600,plain,
% 7.86/5.44 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB157) <=> (v105(constB157) | v106(constB157)))),
% 7.86/5.44 inference(quant_inst,[status(thm)],[])).
% 7.86/5.44 tff(2601,plain,
% 7.86/5.44 (v102(constB157) <=> (v105(constB157) | v106(constB157))),
% 7.86/5.44 inference(unit_resolution,[status(thm)],[2600, 915])).
% 7.86/5.44 tff(2602,plain,
% 7.86/5.44 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB157) <=> (~((~v107(constB157)) | (~v120(constB157)))))),
% 7.86/5.44 inference(quant_inst,[status(thm)],[])).
% 7.86/5.44 tff(2603,plain,
% 7.86/5.44 (v106(constB157) <=> (~((~v107(constB157)) | (~v120(constB157))))),
% 7.86/5.44 inference(unit_resolution,[status(thm)],[2602, 927])).
% 7.86/5.44 tff(2604,plain,
% 7.86/5.44 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB157) <=> (v108(constB157) | v119(constB157)))),
% 7.86/5.44 inference(quant_inst,[status(thm)],[])).
% 7.86/5.44 tff(2605,plain,
% 7.86/5.44 (v107(constB157) <=> (v108(constB157) | v119(constB157))),
% 7.86/5.44 inference(unit_resolution,[status(thm)],[2604, 936])).
% 7.86/5.44 tff(2606,plain,
% 7.86/5.44 (((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB157) <=> (~((~v84(constB157, bitIndex2)) | (~v84(constB157, bitIndex1)) | v84(constB157, bitIndex0))))) <=> ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB157) <=> (~((~v84(constB157, bitIndex2)) | (~v84(constB157, bitIndex1)) | v84(constB157, bitIndex0)))))),
% 7.86/5.44 inference(rewrite,[status(thm)],[])).
% 7.86/5.44 tff(2607,plain,
% 7.86/5.44 ((v119(constB157) <=> (~(v84(constB157, bitIndex0) | (~v84(constB157, bitIndex1)) | (~v84(constB157, bitIndex2))))) <=> (v119(constB157) <=> (~((~v84(constB157, bitIndex2)) | (~v84(constB157, bitIndex1)) | v84(constB157, bitIndex0))))),
% 7.86/5.44 inference(rewrite,[status(thm)],[])).
% 7.86/5.44 tff(2608,plain,
% 7.86/5.44 (((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB157) <=> (~(v84(constB157, bitIndex0) | (~v84(constB157, bitIndex1)) | (~v84(constB157, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB157) <=> (~((~v84(constB157, bitIndex2)) | (~v84(constB157, bitIndex1)) | v84(constB157, bitIndex0)))))),
% 7.86/5.44 inference(monotonicity,[status(thm)],[2607])).
% 7.86/5.44 tff(2609,plain,
% 7.86/5.44 (((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB157) <=> (~(v84(constB157, bitIndex0) | (~v84(constB157, bitIndex1)) | (~v84(constB157, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB157) <=> (~((~v84(constB157, bitIndex2)) | (~v84(constB157, bitIndex1)) | v84(constB157, bitIndex0)))))),
% 7.86/5.44 inference(transitivity,[status(thm)],[2608, 2606])).
% 7.86/5.44 tff(2610,plain,
% 7.86/5.44 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB157) <=> (~(v84(constB157, bitIndex0) | (~v84(constB157, bitIndex1)) | (~v84(constB157, bitIndex2)))))),
% 7.86/5.44 inference(quant_inst,[status(thm)],[])).
% 7.86/5.44 tff(2611,plain,
% 7.86/5.44 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB157) <=> (~((~v84(constB157, bitIndex2)) | (~v84(constB157, bitIndex1)) | v84(constB157, bitIndex0))))),
% 7.86/5.44 inference(modus_ponens,[status(thm)],[2610, 2609])).
% 7.86/5.44 tff(2612,plain,
% 7.86/5.44 (v119(constB157) <=> (~((~v84(constB157, bitIndex2)) | (~v84(constB157, bitIndex1)) | v84(constB157, bitIndex0)))),
% 7.86/5.44 inference(unit_resolution,[status(thm)],[2611, 1511])).
% 7.86/5.44 tff(2613,plain,
% 7.86/5.44 (nextState(constB156, constB157) <=> nextState(constB156, constB157)),
% 7.86/5.44 inference(rewrite,[status(thm)],[])).
% 7.86/5.44 tff(2614,axiom,(nextState(constB156, constB157)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_156')).
% 7.86/5.44 tff(2615,plain,
% 7.86/5.44 (nextState(constB156, constB157)),
% 7.86/5.44 inference(modus_ponens,[status(thm)],[2614, 2613])).
% 7.86/5.44 tff(2616,plain,
% 7.86/5.44 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB156, constB157)) | (v94(constB157) <=> (~((~v104(constB157)) | (~v95(constB157))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB156, constB157)) | (v94(constB157) <=> (~((~v104(constB157)) | (~v95(constB157))))))),
% 7.86/5.44 inference(rewrite,[status(thm)],[])).
% 7.86/5.44 tff(2617,plain,
% 7.86/5.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB156, constB157)) | (v94(constB157) <=> (~((~v104(constB157)) | (~v95(constB157))))))),
% 7.86/5.44 inference(quant_inst,[status(thm)],[])).
% 7.86/5.44 tff(2618,plain,
% 7.86/5.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB156, constB157)) | (v94(constB157) <=> (~((~v104(constB157)) | (~v95(constB157)))))),
% 7.86/5.44 inference(modus_ponens,[status(thm)],[2617, 2616])).
% 7.86/5.44 tff(2619,plain,
% 7.86/5.44 (v94(constB157) <=> (~((~v104(constB157)) | (~v95(constB157))))),
% 7.86/5.44 inference(unit_resolution,[status(thm)],[2618, 2615, 775])).
% 7.86/5.44 tff(2620,plain,
% 7.86/5.44 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB156, constB157)) | (v95(constB157) <=> (~((~v1(constB157)) | (~v96(constB157))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB156, constB157)) | (v95(constB157) <=> (~((~v1(constB157)) | (~v96(constB157))))))),
% 7.86/5.44 inference(rewrite,[status(thm)],[])).
% 7.86/5.44 tff(2621,plain,
% 7.86/5.44 (((~nextState(constB156, constB157)) | (v95(constB157) <=> (~((~v96(constB157)) | (~v1(constB157)))))) <=> ((~nextState(constB156, constB157)) | (v95(constB157) <=> (~((~v1(constB157)) | (~v96(constB157))))))),
% 7.86/5.44 inference(rewrite,[status(thm)],[])).
% 7.86/5.44 tff(2622,plain,
% 7.86/5.44 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB156, constB157)) | (v95(constB157) <=> (~((~v96(constB157)) | (~v1(constB157))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB156, constB157)) | (v95(constB157) <=> (~((~v1(constB157)) | (~v96(constB157)))))))),
% 7.86/5.44 inference(monotonicity,[status(thm)],[2621])).
% 7.86/5.44 tff(2623,plain,
% 7.86/5.44 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB156, constB157)) | (v95(constB157) <=> (~((~v96(constB157)) | (~v1(constB157))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB156, constB157)) | (v95(constB157) <=> (~((~v1(constB157)) | (~v96(constB157))))))),
% 7.86/5.44 inference(transitivity,[status(thm)],[2622, 2620])).
% 7.86/5.44 tff(2624,plain,
% 7.86/5.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB156, constB157)) | (v95(constB157) <=> (~((~v96(constB157)) | (~v1(constB157))))))),
% 7.86/5.44 inference(quant_inst,[status(thm)],[])).
% 7.86/5.44 tff(2625,plain,
% 7.86/5.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB156, constB157)) | (v95(constB157) <=> (~((~v1(constB157)) | (~v96(constB157)))))),
% 7.86/5.44 inference(modus_ponens,[status(thm)],[2624, 2623])).
% 7.86/5.44 tff(2626,plain,
% 7.86/5.44 (v95(constB157) <=> (~((~v1(constB157)) | (~v96(constB157))))),
% 7.86/5.44 inference(unit_resolution,[status(thm)],[2625, 2615, 795])).
% 7.86/5.44 tff(2627,plain,
% 7.86/5.44 (((~v1(constB157)) | (~v96(constB157))) | v1(constB157)),
% 7.86/5.44 inference(tautology,[status(thm)],[])).
% 7.86/5.44 tff(2628,plain,
% 7.86/5.44 ((~v1(constB157)) | (~v96(constB157))),
% 7.86/5.44 inference(unit_resolution,[status(thm)],[2627, 2582])).
% 7.86/5.44 tff(2629,plain,
% 7.86/5.44 ((~(v95(constB157) <=> (~((~v1(constB157)) | (~v96(constB157)))))) | (~v95(constB157)) | (~((~v1(constB157)) | (~v96(constB157))))),
% 7.86/5.44 inference(tautology,[status(thm)],[])).
% 7.86/5.44 tff(2630,plain,
% 7.86/5.44 ((~(v95(constB157) <=> (~((~v1(constB157)) | (~v96(constB157)))))) | (~v95(constB157))),
% 7.86/5.44 inference(unit_resolution,[status(thm)],[2629, 2628])).
% 7.86/5.44 tff(2631,plain,
% 7.86/5.44 (~v95(constB157)),
% 7.86/5.44 inference(unit_resolution,[status(thm)],[2630, 2626])).
% 7.86/5.44 tff(2632,plain,
% 7.86/5.44 (((~v104(constB157)) | (~v95(constB157))) | v95(constB157)),
% 7.86/5.44 inference(tautology,[status(thm)],[])).
% 7.86/5.44 tff(2633,plain,
% 7.86/5.44 ((~v104(constB157)) | (~v95(constB157))),
% 7.86/5.44 inference(unit_resolution,[status(thm)],[2632, 2631])).
% 7.86/5.44 tff(2634,plain,
% 7.86/5.44 ((~(v94(constB157) <=> (~((~v104(constB157)) | (~v95(constB157)))))) | (~v94(constB157)) | (~((~v104(constB157)) | (~v95(constB157))))),
% 7.86/5.44 inference(tautology,[status(thm)],[])).
% 7.86/5.44 tff(2635,plain,
% 7.86/5.44 (~v94(constB157)),
% 7.86/5.44 inference(unit_resolution,[status(thm)],[2634, 2633, 2619])).
% 7.86/5.44 tff(2636,plain,
% 7.86/5.44 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB157) | (~nextState(constB156, constB157)) | ![B: $i] : ((~less_3(B)) | (v84(constB157, B) <=> v84(constB156, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB157) | (~nextState(constB156, constB157)) | ![B: $i] : ((~less_3(B)) | (v84(constB157, B) <=> v84(constB156, B))))),
% 7.86/5.44 inference(rewrite,[status(thm)],[])).
% 7.86/5.44 tff(2637,plain,
% 7.86/5.44 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB157) | (~nextState(constB156, constB157)) | ![B: $i] : ((~less_3(B)) | (v84(constB157, B) <=> v84(constB156, B))))),
% 7.86/5.44 inference(quant_inst,[status(thm)],[])).
% 7.86/5.44 tff(2638,plain,
% 7.86/5.44 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB157) | (~nextState(constB156, constB157)) | ![B: $i] : ((~less_3(B)) | (v84(constB157, B) <=> v84(constB156, B)))),
% 7.86/5.44 inference(modus_ponens,[status(thm)],[2637, 2636])).
% 7.86/5.44 tff(2639,plain,
% 7.86/5.44 (v94(constB157) | ![B: $i] : ((~less_3(B)) | (v84(constB157, B) <=> v84(constB156, B)))),
% 7.86/5.44 inference(unit_resolution,[status(thm)],[2638, 2615, 824])).
% 7.86/5.44 tff(2640,plain,
% 7.86/5.44 (![B: $i] : ((~less_3(B)) | (v84(constB157, B) <=> v84(constB156, B)))),
% 7.86/5.44 inference(unit_resolution,[status(thm)],[2639, 2635])).
% 7.86/5.44 tff(2641,plain,
% 7.86/5.44 (((~![B: $i] : ((~less_3(B)) | (v84(constB157, B) <=> v84(constB156, B)))) | ((~less_3(bitIndex2)) | (v84(constB157, bitIndex2) <=> v84(constB156, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB157, B) <=> v84(constB156, B)))) | (~less_3(bitIndex2)) | (v84(constB157, bitIndex2) <=> v84(constB156, bitIndex2)))),
% 7.86/5.44 inference(rewrite,[status(thm)],[])).
% 7.86/5.44 tff(2642,plain,
% 7.86/5.44 ((~![B: $i] : ((~less_3(B)) | (v84(constB157, B) <=> v84(constB156, B)))) | ((~less_3(bitIndex2)) | (v84(constB157, bitIndex2) <=> v84(constB156, bitIndex2)))),
% 7.86/5.44 inference(quant_inst,[status(thm)],[])).
% 7.86/5.44 tff(2643,plain,
% 7.86/5.44 ((~![B: $i] : ((~less_3(B)) | (v84(constB157, B) <=> v84(constB156, B)))) | (~less_3(bitIndex2)) | (v84(constB157, bitIndex2) <=> v84(constB156, bitIndex2))),
% 7.86/5.44 inference(modus_ponens,[status(thm)],[2642, 2641])).
% 7.86/5.44 tff(2644,plain,
% 7.86/5.44 (v84(constB157, bitIndex2) <=> v84(constB156, bitIndex2)),
% 7.86/5.44 inference(unit_resolution,[status(thm)],[2643, 832, 2640])).
% 7.86/5.44 tff(2645,plain,
% 7.86/5.44 (nextState(constB155, constB156) <=> nextState(constB155, constB156)),
% 7.86/5.44 inference(rewrite,[status(thm)],[])).
% 7.86/5.44 tff(2646,axiom,(nextState(constB155, constB156)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_155')).
% 7.86/5.44 tff(2647,plain,
% 7.86/5.44 (nextState(constB155, constB156)),
% 7.86/5.44 inference(modus_ponens,[status(thm)],[2646, 2645])).
% 7.86/5.44 tff(2648,plain,
% 7.86/5.44 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB155, constB156)) | (v94(constB156) <=> (~((~v104(constB156)) | (~v95(constB156))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB155, constB156)) | (v94(constB156) <=> (~((~v104(constB156)) | (~v95(constB156))))))),
% 7.86/5.44 inference(rewrite,[status(thm)],[])).
% 7.86/5.44 tff(2649,plain,
% 7.86/5.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB155, constB156)) | (v94(constB156) <=> (~((~v104(constB156)) | (~v95(constB156))))))),
% 7.86/5.44 inference(quant_inst,[status(thm)],[])).
% 7.86/5.44 tff(2650,plain,
% 7.86/5.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB155, constB156)) | (v94(constB156) <=> (~((~v104(constB156)) | (~v95(constB156)))))),
% 7.86/5.44 inference(modus_ponens,[status(thm)],[2649, 2648])).
% 7.86/5.44 tff(2651,plain,
% 7.86/5.44 (v94(constB156) <=> (~((~v104(constB156)) | (~v95(constB156))))),
% 7.86/5.44 inference(unit_resolution,[status(thm)],[2650, 2647, 775])).
% 7.86/5.44 tff(2652,plain,
% 7.86/5.44 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB155, constB156)) | (v95(constB156) <=> (~((~v1(constB156)) | (~v96(constB156))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB155, constB156)) | (v95(constB156) <=> (~((~v1(constB156)) | (~v96(constB156))))))),
% 7.86/5.44 inference(rewrite,[status(thm)],[])).
% 7.86/5.44 tff(2653,plain,
% 7.86/5.44 (((~nextState(constB155, constB156)) | (v95(constB156) <=> (~((~v96(constB156)) | (~v1(constB156)))))) <=> ((~nextState(constB155, constB156)) | (v95(constB156) <=> (~((~v1(constB156)) | (~v96(constB156))))))),
% 7.86/5.44 inference(rewrite,[status(thm)],[])).
% 7.86/5.44 tff(2654,plain,
% 7.86/5.44 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB155, constB156)) | (v95(constB156) <=> (~((~v96(constB156)) | (~v1(constB156))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB155, constB156)) | (v95(constB156) <=> (~((~v1(constB156)) | (~v96(constB156)))))))),
% 7.86/5.44 inference(monotonicity,[status(thm)],[2653])).
% 7.86/5.44 tff(2655,plain,
% 7.86/5.44 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB155, constB156)) | (v95(constB156) <=> (~((~v96(constB156)) | (~v1(constB156))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB155, constB156)) | (v95(constB156) <=> (~((~v1(constB156)) | (~v96(constB156))))))),
% 7.86/5.44 inference(transitivity,[status(thm)],[2654, 2652])).
% 7.86/5.44 tff(2656,plain,
% 7.86/5.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB155, constB156)) | (v95(constB156) <=> (~((~v96(constB156)) | (~v1(constB156))))))),
% 7.86/5.44 inference(quant_inst,[status(thm)],[])).
% 7.86/5.44 tff(2657,plain,
% 7.86/5.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB155, constB156)) | (v95(constB156) <=> (~((~v1(constB156)) | (~v96(constB156)))))),
% 7.86/5.44 inference(modus_ponens,[status(thm)],[2656, 2655])).
% 7.86/5.44 tff(2658,plain,
% 7.86/5.44 (v95(constB156) <=> (~((~v1(constB156)) | (~v96(constB156))))),
% 7.86/5.44 inference(unit_resolution,[status(thm)],[2657, 2647, 795])).
% 7.86/5.44 tff(2659,plain,
% 7.86/5.44 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB155, constB156)) | ((~v96(constB156)) <=> v98(constB156)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB155, constB156)) | ((~v96(constB156)) <=> v98(constB156)))),
% 7.86/5.44 inference(rewrite,[status(thm)],[])).
% 7.86/5.44 tff(2660,plain,
% 7.86/5.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB155, constB156)) | ((~v96(constB156)) <=> v98(constB156)))),
% 7.86/5.44 inference(quant_inst,[status(thm)],[])).
% 7.86/5.44 tff(2661,plain,
% 7.86/5.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB155, constB156)) | ((~v96(constB156)) <=> v98(constB156))),
% 7.86/5.44 inference(modus_ponens,[status(thm)],[2660, 2659])).
% 7.86/5.44 tff(2662,plain,
% 7.86/5.44 ((~v96(constB156)) <=> v98(constB156)),
% 7.86/5.44 inference(unit_resolution,[status(thm)],[2661, 2647, 860])).
% 7.86/5.44 tff(2663,plain,
% 7.86/5.44 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB155, constB156)) | (v98(constB156) <=> v1(constB155)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB155, constB156)) | (v98(constB156) <=> v1(constB155)))),
% 7.86/5.44 inference(rewrite,[status(thm)],[])).
% 7.86/5.44 tff(2664,plain,
% 7.86/5.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB155, constB156)) | (v98(constB156) <=> v1(constB155)))),
% 7.86/5.44 inference(quant_inst,[status(thm)],[])).
% 7.86/5.44 tff(2665,plain,
% 7.86/5.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB155, constB156)) | (v98(constB156) <=> v1(constB155))),
% 7.86/5.44 inference(modus_ponens,[status(thm)],[2664, 2663])).
% 7.86/5.44 tff(2666,plain,
% 7.86/5.44 (v98(constB156) <=> v1(constB155)),
% 7.86/5.44 inference(unit_resolution,[status(thm)],[2665, 2647, 874])).
% 7.86/5.44 tff(2667,plain,
% 7.86/5.44 ((~v1(constB155)) <=> (~v1(constB155))),
% 7.86/5.44 inference(rewrite,[status(thm)],[])).
% 7.86/5.44 tff(2668,axiom,(~v1(constB155)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_155')).
% 7.86/5.44 tff(2669,plain,
% 7.86/5.44 (~v1(constB155)),
% 7.86/5.44 inference(modus_ponens,[status(thm)],[2668, 2667])).
% 7.86/5.44 tff(2670,plain,
% 7.86/5.44 ((~(v98(constB156) <=> v1(constB155))) | (~v98(constB156)) | v1(constB155)),
% 7.86/5.44 inference(tautology,[status(thm)],[])).
% 7.86/5.44 tff(2671,plain,
% 7.86/5.44 ((~(v98(constB156) <=> v1(constB155))) | (~v98(constB156))),
% 7.86/5.44 inference(unit_resolution,[status(thm)],[2670, 2669])).
% 7.86/5.44 tff(2672,plain,
% 7.86/5.44 (~v98(constB156)),
% 7.86/5.44 inference(unit_resolution,[status(thm)],[2671, 2666])).
% 7.86/5.44 tff(2673,plain,
% 7.86/5.44 ((~((~v96(constB156)) <=> v98(constB156))) | v96(constB156) | v98(constB156)),
% 7.86/5.44 inference(tautology,[status(thm)],[])).
% 7.86/5.44 tff(2674,plain,
% 7.86/5.44 (v96(constB156)),
% 7.86/5.44 inference(unit_resolution,[status(thm)],[2673, 2672, 2662])).
% 7.86/5.44 tff(2675,plain,
% 7.86/5.44 (v1(constB156) <=> v1(constB156)),
% 7.86/5.44 inference(rewrite,[status(thm)],[])).
% 7.86/5.44 tff(2676,axiom,(v1(constB156)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_156')).
% 7.86/5.44 tff(2677,plain,
% 7.86/5.44 (v1(constB156)),
% 7.86/5.44 inference(modus_ponens,[status(thm)],[2676, 2675])).
% 7.86/5.44 tff(2678,plain,
% 7.86/5.44 ((~((~v1(constB156)) | (~v96(constB156)))) | (~v1(constB156)) | (~v96(constB156))),
% 7.86/5.44 inference(tautology,[status(thm)],[])).
% 7.86/5.44 tff(2679,plain,
% 7.86/5.44 ((~((~v1(constB156)) | (~v96(constB156)))) | (~v96(constB156))),
% 7.86/5.44 inference(unit_resolution,[status(thm)],[2678, 2677])).
% 7.86/5.44 tff(2680,plain,
% 7.86/5.44 (~((~v1(constB156)) | (~v96(constB156)))),
% 7.86/5.44 inference(unit_resolution,[status(thm)],[2679, 2674])).
% 7.86/5.44 tff(2681,plain,
% 7.86/5.44 ((~(v95(constB156) <=> (~((~v1(constB156)) | (~v96(constB156)))))) | v95(constB156) | ((~v1(constB156)) | (~v96(constB156)))),
% 7.86/5.44 inference(tautology,[status(thm)],[])).
% 7.86/5.44 tff(2682,plain,
% 7.86/5.44 (v95(constB156)),
% 7.86/5.44 inference(unit_resolution,[status(thm)],[2681, 2680, 2658])).
% 7.86/5.44 tff(2683,plain,
% 7.86/5.44 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB155, constB156)) | (v104(constB156) <=> v102(constB155)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB155, constB156)) | (v104(constB156) <=> v102(constB155)))),
% 7.86/5.44 inference(rewrite,[status(thm)],[])).
% 7.86/5.44 tff(2684,plain,
% 7.86/5.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB155, constB156)) | (v104(constB156) <=> v102(constB155)))),
% 7.86/5.44 inference(quant_inst,[status(thm)],[])).
% 7.86/5.44 tff(2685,plain,
% 7.86/5.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB155, constB156)) | (v104(constB156) <=> v102(constB155))),
% 7.86/5.44 inference(modus_ponens,[status(thm)],[2684, 2683])).
% 7.86/5.44 tff(2686,plain,
% 7.86/5.44 (v104(constB156) <=> v102(constB155)),
% 7.86/5.44 inference(unit_resolution,[status(thm)],[2685, 2647, 904])).
% 7.86/5.44 tff(2687,plain,
% 7.86/5.44 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB155) <=> (v105(constB155) | v106(constB155)))),
% 7.86/5.44 inference(quant_inst,[status(thm)],[])).
% 7.86/5.44 tff(2688,plain,
% 7.86/5.44 (v102(constB155) <=> (v105(constB155) | v106(constB155))),
% 7.86/5.44 inference(unit_resolution,[status(thm)],[2687, 915])).
% 7.86/5.44 tff(2689,plain,
% 7.86/5.44 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB155) <=> (~((~v107(constB155)) | (~v120(constB155)))))),
% 7.86/5.44 inference(quant_inst,[status(thm)],[])).
% 7.86/5.44 tff(2690,plain,
% 7.86/5.44 (v106(constB155) <=> (~((~v107(constB155)) | (~v120(constB155))))),
% 7.86/5.44 inference(unit_resolution,[status(thm)],[2689, 927])).
% 7.86/5.44 tff(2691,plain,
% 7.86/5.44 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB155) <=> (v108(constB155) | v119(constB155)))),
% 7.86/5.44 inference(quant_inst,[status(thm)],[])).
% 7.86/5.44 tff(2692,plain,
% 7.86/5.44 (v107(constB155) <=> (v108(constB155) | v119(constB155))),
% 7.86/5.44 inference(unit_resolution,[status(thm)],[2691, 936])).
% 7.86/5.44 tff(2693,plain,
% 7.86/5.44 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB155) <=> (v109(constB155) | v118(constB155)))),
% 7.86/5.44 inference(quant_inst,[status(thm)],[])).
% 7.86/5.44 tff(2694,plain,
% 7.86/5.44 (v108(constB155) <=> (v109(constB155) | v118(constB155))),
% 7.86/5.44 inference(unit_resolution,[status(thm)],[2693, 945])).
% 7.86/5.44 tff(2695,plain,
% 7.86/5.44 (((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB155) <=> (~((~v84(constB155, bitIndex2)) | v84(constB155, bitIndex1) | (~v84(constB155, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB155) <=> (~((~v84(constB155, bitIndex2)) | v84(constB155, bitIndex1) | (~v84(constB155, bitIndex0))))))),
% 7.86/5.44 inference(rewrite,[status(thm)],[])).
% 7.86/5.44 tff(2696,plain,
% 7.86/5.44 ((v118(constB155) <=> (~(v84(constB155, bitIndex1) | (~v84(constB155, bitIndex0)) | (~v84(constB155, bitIndex2))))) <=> (v118(constB155) <=> (~((~v84(constB155, bitIndex2)) | v84(constB155, bitIndex1) | (~v84(constB155, bitIndex0)))))),
% 7.86/5.44 inference(rewrite,[status(thm)],[])).
% 7.86/5.44 tff(2697,plain,
% 7.86/5.44 (((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB155) <=> (~(v84(constB155, bitIndex1) | (~v84(constB155, bitIndex0)) | (~v84(constB155, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB155) <=> (~((~v84(constB155, bitIndex2)) | v84(constB155, bitIndex1) | (~v84(constB155, bitIndex0))))))),
% 7.86/5.44 inference(monotonicity,[status(thm)],[2696])).
% 7.86/5.44 tff(2698,plain,
% 7.86/5.44 (((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB155) <=> (~(v84(constB155, bitIndex1) | (~v84(constB155, bitIndex0)) | (~v84(constB155, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB155) <=> (~((~v84(constB155, bitIndex2)) | v84(constB155, bitIndex1) | (~v84(constB155, bitIndex0))))))),
% 7.86/5.44 inference(transitivity,[status(thm)],[2697, 2695])).
% 7.86/5.44 tff(2699,plain,
% 7.86/5.44 ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB155) <=> (~(v84(constB155, bitIndex1) | (~v84(constB155, bitIndex0)) | (~v84(constB155, bitIndex2)))))),
% 7.86/5.44 inference(quant_inst,[status(thm)],[])).
% 7.86/5.44 tff(2700,plain,
% 7.86/5.44 ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB155) <=> (~((~v84(constB155, bitIndex2)) | v84(constB155, bitIndex1) | (~v84(constB155, bitIndex0)))))),
% 7.86/5.44 inference(modus_ponens,[status(thm)],[2699, 2698])).
% 7.86/5.44 tff(2701,plain,
% 7.86/5.44 (v118(constB155) <=> (~((~v84(constB155, bitIndex2)) | v84(constB155, bitIndex1) | (~v84(constB155, bitIndex0))))),
% 7.86/5.44 inference(unit_resolution,[status(thm)],[2700, 960])).
% 7.86/5.44 tff(2702,plain,
% 7.86/5.44 (nextState(constB154, constB155) <=> nextState(constB154, constB155)),
% 7.86/5.44 inference(rewrite,[status(thm)],[])).
% 7.86/5.44 tff(2703,axiom,(nextState(constB154, constB155)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_154')).
% 7.86/5.44 tff(2704,plain,
% 7.86/5.44 (nextState(constB154, constB155)),
% 7.86/5.44 inference(modus_ponens,[status(thm)],[2703, 2702])).
% 7.86/5.44 tff(2705,plain,
% 7.86/5.44 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB154, constB155)) | (v94(constB155) <=> (~((~v104(constB155)) | (~v95(constB155))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB154, constB155)) | (v94(constB155) <=> (~((~v104(constB155)) | (~v95(constB155))))))),
% 7.86/5.44 inference(rewrite,[status(thm)],[])).
% 7.86/5.44 tff(2706,plain,
% 7.86/5.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB154, constB155)) | (v94(constB155) <=> (~((~v104(constB155)) | (~v95(constB155))))))),
% 7.86/5.44 inference(quant_inst,[status(thm)],[])).
% 7.86/5.44 tff(2707,plain,
% 7.86/5.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB154, constB155)) | (v94(constB155) <=> (~((~v104(constB155)) | (~v95(constB155)))))),
% 7.86/5.44 inference(modus_ponens,[status(thm)],[2706, 2705])).
% 7.86/5.44 tff(2708,plain,
% 7.86/5.44 (v94(constB155) <=> (~((~v104(constB155)) | (~v95(constB155))))),
% 7.86/5.44 inference(unit_resolution,[status(thm)],[2707, 2704, 775])).
% 7.86/5.44 tff(2709,plain,
% 7.86/5.44 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB154, constB155)) | (v95(constB155) <=> (~((~v1(constB155)) | (~v96(constB155))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB154, constB155)) | (v95(constB155) <=> (~((~v1(constB155)) | (~v96(constB155))))))),
% 7.86/5.44 inference(rewrite,[status(thm)],[])).
% 7.86/5.44 tff(2710,plain,
% 7.86/5.44 (((~nextState(constB154, constB155)) | (v95(constB155) <=> (~((~v96(constB155)) | (~v1(constB155)))))) <=> ((~nextState(constB154, constB155)) | (v95(constB155) <=> (~((~v1(constB155)) | (~v96(constB155))))))),
% 7.86/5.44 inference(rewrite,[status(thm)],[])).
% 7.86/5.44 tff(2711,plain,
% 7.86/5.44 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB154, constB155)) | (v95(constB155) <=> (~((~v96(constB155)) | (~v1(constB155))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB154, constB155)) | (v95(constB155) <=> (~((~v1(constB155)) | (~v96(constB155)))))))),
% 7.86/5.44 inference(monotonicity,[status(thm)],[2710])).
% 7.86/5.44 tff(2712,plain,
% 7.86/5.44 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB154, constB155)) | (v95(constB155) <=> (~((~v96(constB155)) | (~v1(constB155))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB154, constB155)) | (v95(constB155) <=> (~((~v1(constB155)) | (~v96(constB155))))))),
% 7.86/5.44 inference(transitivity,[status(thm)],[2711, 2709])).
% 7.86/5.45 tff(2713,plain,
% 7.86/5.45 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB154, constB155)) | (v95(constB155) <=> (~((~v96(constB155)) | (~v1(constB155))))))),
% 7.86/5.45 inference(quant_inst,[status(thm)],[])).
% 7.86/5.45 tff(2714,plain,
% 7.86/5.45 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB154, constB155)) | (v95(constB155) <=> (~((~v1(constB155)) | (~v96(constB155)))))),
% 7.86/5.45 inference(modus_ponens,[status(thm)],[2713, 2712])).
% 7.86/5.45 tff(2715,plain,
% 7.86/5.45 (v95(constB155) <=> (~((~v1(constB155)) | (~v96(constB155))))),
% 7.86/5.45 inference(unit_resolution,[status(thm)],[2714, 2704, 795])).
% 7.86/5.45 tff(2716,plain,
% 7.86/5.45 (((~v1(constB155)) | (~v96(constB155))) | v1(constB155)),
% 7.86/5.45 inference(tautology,[status(thm)],[])).
% 7.86/5.45 tff(2717,plain,
% 7.86/5.45 ((~v1(constB155)) | (~v96(constB155))),
% 7.86/5.45 inference(unit_resolution,[status(thm)],[2716, 2669])).
% 7.86/5.45 tff(2718,plain,
% 7.86/5.45 ((~(v95(constB155) <=> (~((~v1(constB155)) | (~v96(constB155)))))) | (~v95(constB155)) | (~((~v1(constB155)) | (~v96(constB155))))),
% 7.86/5.45 inference(tautology,[status(thm)],[])).
% 7.86/5.45 tff(2719,plain,
% 7.86/5.45 ((~(v95(constB155) <=> (~((~v1(constB155)) | (~v96(constB155)))))) | (~v95(constB155))),
% 7.86/5.45 inference(unit_resolution,[status(thm)],[2718, 2717])).
% 7.86/5.45 tff(2720,plain,
% 7.86/5.45 (~v95(constB155)),
% 7.86/5.45 inference(unit_resolution,[status(thm)],[2719, 2715])).
% 7.86/5.45 tff(2721,plain,
% 7.86/5.45 (((~v104(constB155)) | (~v95(constB155))) | v95(constB155)),
% 7.86/5.45 inference(tautology,[status(thm)],[])).
% 7.86/5.45 tff(2722,plain,
% 7.86/5.45 ((~v104(constB155)) | (~v95(constB155))),
% 7.86/5.45 inference(unit_resolution,[status(thm)],[2721, 2720])).
% 7.86/5.45 tff(2723,plain,
% 7.86/5.45 ((~(v94(constB155) <=> (~((~v104(constB155)) | (~v95(constB155)))))) | (~v94(constB155)) | (~((~v104(constB155)) | (~v95(constB155))))),
% 7.86/5.45 inference(tautology,[status(thm)],[])).
% 7.86/5.45 tff(2724,plain,
% 7.86/5.45 (~v94(constB155)),
% 7.86/5.45 inference(unit_resolution,[status(thm)],[2723, 2722, 2708])).
% 7.86/5.45 tff(2725,plain,
% 7.86/5.45 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB155) | (~nextState(constB154, constB155)) | ![B: $i] : ((~less_3(B)) | (v84(constB155, B) <=> v84(constB154, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB155) | (~nextState(constB154, constB155)) | ![B: $i] : ((~less_3(B)) | (v84(constB155, B) <=> v84(constB154, B))))),
% 7.86/5.45 inference(rewrite,[status(thm)],[])).
% 7.86/5.45 tff(2726,plain,
% 7.86/5.45 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB155) | (~nextState(constB154, constB155)) | ![B: $i] : ((~less_3(B)) | (v84(constB155, B) <=> v84(constB154, B))))),
% 7.86/5.45 inference(quant_inst,[status(thm)],[])).
% 7.86/5.45 tff(2727,plain,
% 7.86/5.45 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB155) | (~nextState(constB154, constB155)) | ![B: $i] : ((~less_3(B)) | (v84(constB155, B) <=> v84(constB154, B)))),
% 7.86/5.45 inference(modus_ponens,[status(thm)],[2726, 2725])).
% 7.86/5.45 tff(2728,plain,
% 7.86/5.45 (v94(constB155) | ![B: $i] : ((~less_3(B)) | (v84(constB155, B) <=> v84(constB154, B)))),
% 7.86/5.45 inference(unit_resolution,[status(thm)],[2727, 2704, 824])).
% 7.86/5.45 tff(2729,plain,
% 7.86/5.45 (![B: $i] : ((~less_3(B)) | (v84(constB155, B) <=> v84(constB154, B)))),
% 7.86/5.45 inference(unit_resolution,[status(thm)],[2728, 2724])).
% 7.86/5.45 tff(2730,plain,
% 7.86/5.45 (((~![B: $i] : ((~less_3(B)) | (v84(constB155, B) <=> v84(constB154, B)))) | ((~less_3(bitIndex2)) | (v84(constB155, bitIndex2) <=> v84(constB154, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB155, B) <=> v84(constB154, B)))) | (~less_3(bitIndex2)) | (v84(constB155, bitIndex2) <=> v84(constB154, bitIndex2)))),
% 7.86/5.45 inference(rewrite,[status(thm)],[])).
% 7.86/5.45 tff(2731,plain,
% 7.86/5.45 ((~![B: $i] : ((~less_3(B)) | (v84(constB155, B) <=> v84(constB154, B)))) | ((~less_3(bitIndex2)) | (v84(constB155, bitIndex2) <=> v84(constB154, bitIndex2)))),
% 7.86/5.45 inference(quant_inst,[status(thm)],[])).
% 7.86/5.45 tff(2732,plain,
% 7.86/5.45 ((~![B: $i] : ((~less_3(B)) | (v84(constB155, B) <=> v84(constB154, B)))) | (~less_3(bitIndex2)) | (v84(constB155, bitIndex2) <=> v84(constB154, bitIndex2))),
% 7.86/5.45 inference(modus_ponens,[status(thm)],[2731, 2730])).
% 7.86/5.45 tff(2733,plain,
% 7.86/5.45 (v84(constB155, bitIndex2) <=> v84(constB154, bitIndex2)),
% 7.86/5.45 inference(unit_resolution,[status(thm)],[2732, 832, 2729])).
% 7.86/5.45 tff(2734,plain,
% 7.86/5.45 (nextState(constB153, constB154) <=> nextState(constB153, constB154)),
% 7.86/5.45 inference(rewrite,[status(thm)],[])).
% 7.86/5.45 tff(2735,axiom,(nextState(constB153, constB154)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_153')).
% 7.86/5.45 tff(2736,plain,
% 7.86/5.45 (nextState(constB153, constB154)),
% 7.86/5.45 inference(modus_ponens,[status(thm)],[2735, 2734])).
% 7.86/5.45 tff(2737,plain,
% 7.86/5.45 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB153, constB154)) | (v94(constB154) <=> (~((~v104(constB154)) | (~v95(constB154))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB153, constB154)) | (v94(constB154) <=> (~((~v104(constB154)) | (~v95(constB154))))))),
% 7.86/5.45 inference(rewrite,[status(thm)],[])).
% 7.86/5.45 tff(2738,plain,
% 7.86/5.45 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB153, constB154)) | (v94(constB154) <=> (~((~v104(constB154)) | (~v95(constB154))))))),
% 7.86/5.45 inference(quant_inst,[status(thm)],[])).
% 7.86/5.45 tff(2739,plain,
% 7.86/5.45 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB153, constB154)) | (v94(constB154) <=> (~((~v104(constB154)) | (~v95(constB154)))))),
% 7.86/5.45 inference(modus_ponens,[status(thm)],[2738, 2737])).
% 7.86/5.45 tff(2740,plain,
% 7.86/5.45 (v94(constB154) <=> (~((~v104(constB154)) | (~v95(constB154))))),
% 7.86/5.45 inference(unit_resolution,[status(thm)],[2739, 2736, 775])).
% 7.86/5.45 tff(2741,plain,
% 7.86/5.45 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB153, constB154)) | (v95(constB154) <=> (~((~v1(constB154)) | (~v96(constB154))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB153, constB154)) | (v95(constB154) <=> (~((~v1(constB154)) | (~v96(constB154))))))),
% 7.86/5.45 inference(rewrite,[status(thm)],[])).
% 7.86/5.45 tff(2742,plain,
% 7.86/5.45 (((~nextState(constB153, constB154)) | (v95(constB154) <=> (~((~v96(constB154)) | (~v1(constB154)))))) <=> ((~nextState(constB153, constB154)) | (v95(constB154) <=> (~((~v1(constB154)) | (~v96(constB154))))))),
% 7.86/5.45 inference(rewrite,[status(thm)],[])).
% 7.86/5.45 tff(2743,plain,
% 7.86/5.45 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB153, constB154)) | (v95(constB154) <=> (~((~v96(constB154)) | (~v1(constB154))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB153, constB154)) | (v95(constB154) <=> (~((~v1(constB154)) | (~v96(constB154)))))))),
% 7.86/5.45 inference(monotonicity,[status(thm)],[2742])).
% 7.86/5.45 tff(2744,plain,
% 7.86/5.45 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB153, constB154)) | (v95(constB154) <=> (~((~v96(constB154)) | (~v1(constB154))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB153, constB154)) | (v95(constB154) <=> (~((~v1(constB154)) | (~v96(constB154))))))),
% 7.86/5.45 inference(transitivity,[status(thm)],[2743, 2741])).
% 7.86/5.45 tff(2745,plain,
% 7.86/5.45 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB153, constB154)) | (v95(constB154) <=> (~((~v96(constB154)) | (~v1(constB154))))))),
% 7.86/5.45 inference(quant_inst,[status(thm)],[])).
% 7.86/5.45 tff(2746,plain,
% 7.86/5.45 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB153, constB154)) | (v95(constB154) <=> (~((~v1(constB154)) | (~v96(constB154)))))),
% 7.86/5.45 inference(modus_ponens,[status(thm)],[2745, 2744])).
% 7.86/5.45 tff(2747,plain,
% 7.86/5.45 (v95(constB154) <=> (~((~v1(constB154)) | (~v96(constB154))))),
% 7.86/5.45 inference(unit_resolution,[status(thm)],[2746, 2736, 795])).
% 7.86/5.45 tff(2748,plain,
% 7.86/5.45 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB153, constB154)) | ((~v96(constB154)) <=> v98(constB154)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB153, constB154)) | ((~v96(constB154)) <=> v98(constB154)))),
% 7.86/5.45 inference(rewrite,[status(thm)],[])).
% 7.86/5.45 tff(2749,plain,
% 7.86/5.45 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB153, constB154)) | ((~v96(constB154)) <=> v98(constB154)))),
% 7.86/5.45 inference(quant_inst,[status(thm)],[])).
% 7.86/5.45 tff(2750,plain,
% 7.86/5.45 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB153, constB154)) | ((~v96(constB154)) <=> v98(constB154))),
% 7.86/5.45 inference(modus_ponens,[status(thm)],[2749, 2748])).
% 7.86/5.45 tff(2751,plain,
% 7.86/5.45 ((~v96(constB154)) <=> v98(constB154)),
% 7.86/5.45 inference(unit_resolution,[status(thm)],[2750, 2736, 860])).
% 7.86/5.45 tff(2752,plain,
% 7.86/5.45 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB153, constB154)) | (v98(constB154) <=> v1(constB153)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB153, constB154)) | (v98(constB154) <=> v1(constB153)))),
% 7.86/5.45 inference(rewrite,[status(thm)],[])).
% 7.86/5.45 tff(2753,plain,
% 7.86/5.45 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB153, constB154)) | (v98(constB154) <=> v1(constB153)))),
% 7.86/5.45 inference(quant_inst,[status(thm)],[])).
% 7.86/5.45 tff(2754,plain,
% 7.86/5.45 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB153, constB154)) | (v98(constB154) <=> v1(constB153))),
% 7.86/5.45 inference(modus_ponens,[status(thm)],[2753, 2752])).
% 7.86/5.45 tff(2755,plain,
% 7.86/5.45 (v98(constB154) <=> v1(constB153)),
% 7.86/5.45 inference(unit_resolution,[status(thm)],[2754, 2736, 874])).
% 7.86/5.45 tff(2756,plain,
% 7.86/5.45 ((~v1(constB153)) <=> (~v1(constB153))),
% 7.86/5.45 inference(rewrite,[status(thm)],[])).
% 7.86/5.45 tff(2757,axiom,(~v1(constB153)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_153')).
% 7.86/5.45 tff(2758,plain,
% 7.86/5.45 (~v1(constB153)),
% 7.86/5.45 inference(modus_ponens,[status(thm)],[2757, 2756])).
% 7.86/5.45 tff(2759,plain,
% 7.86/5.45 ((~(v98(constB154) <=> v1(constB153))) | (~v98(constB154)) | v1(constB153)),
% 7.86/5.45 inference(tautology,[status(thm)],[])).
% 7.86/5.45 tff(2760,plain,
% 7.86/5.45 ((~(v98(constB154) <=> v1(constB153))) | (~v98(constB154))),
% 7.86/5.45 inference(unit_resolution,[status(thm)],[2759, 2758])).
% 7.86/5.45 tff(2761,plain,
% 7.86/5.45 (~v98(constB154)),
% 7.86/5.45 inference(unit_resolution,[status(thm)],[2760, 2755])).
% 7.86/5.45 tff(2762,plain,
% 7.86/5.45 ((~((~v96(constB154)) <=> v98(constB154))) | v96(constB154) | v98(constB154)),
% 7.86/5.45 inference(tautology,[status(thm)],[])).
% 7.86/5.45 tff(2763,plain,
% 7.86/5.45 (v96(constB154)),
% 7.86/5.45 inference(unit_resolution,[status(thm)],[2762, 2761, 2751])).
% 7.86/5.45 tff(2764,plain,
% 7.86/5.45 (v1(constB154) <=> v1(constB154)),
% 7.86/5.45 inference(rewrite,[status(thm)],[])).
% 7.86/5.45 tff(2765,axiom,(v1(constB154)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_154')).
% 7.86/5.45 tff(2766,plain,
% 7.86/5.45 (v1(constB154)),
% 7.86/5.45 inference(modus_ponens,[status(thm)],[2765, 2764])).
% 7.86/5.45 tff(2767,plain,
% 7.86/5.45 ((~((~v1(constB154)) | (~v96(constB154)))) | (~v1(constB154)) | (~v96(constB154))),
% 7.86/5.45 inference(tautology,[status(thm)],[])).
% 7.86/5.45 tff(2768,plain,
% 7.86/5.45 ((~((~v1(constB154)) | (~v96(constB154)))) | (~v96(constB154))),
% 7.86/5.45 inference(unit_resolution,[status(thm)],[2767, 2766])).
% 7.86/5.45 tff(2769,plain,
% 7.86/5.45 (~((~v1(constB154)) | (~v96(constB154)))),
% 7.86/5.45 inference(unit_resolution,[status(thm)],[2768, 2763])).
% 7.86/5.45 tff(2770,plain,
% 7.86/5.45 ((~(v95(constB154) <=> (~((~v1(constB154)) | (~v96(constB154)))))) | v95(constB154) | ((~v1(constB154)) | (~v96(constB154)))),
% 7.86/5.45 inference(tautology,[status(thm)],[])).
% 7.86/5.45 tff(2771,plain,
% 7.86/5.45 (v95(constB154)),
% 7.86/5.45 inference(unit_resolution,[status(thm)],[2770, 2769, 2747])).
% 7.86/5.45 tff(2772,plain,
% 7.86/5.45 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB153, constB154)) | (v104(constB154) <=> v102(constB153)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB153, constB154)) | (v104(constB154) <=> v102(constB153)))),
% 7.86/5.45 inference(rewrite,[status(thm)],[])).
% 7.86/5.45 tff(2773,plain,
% 7.86/5.45 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB153, constB154)) | (v104(constB154) <=> v102(constB153)))),
% 7.86/5.45 inference(quant_inst,[status(thm)],[])).
% 7.86/5.45 tff(2774,plain,
% 7.86/5.45 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB153, constB154)) | (v104(constB154) <=> v102(constB153))),
% 7.86/5.45 inference(modus_ponens,[status(thm)],[2773, 2772])).
% 7.86/5.45 tff(2775,plain,
% 7.86/5.45 (v104(constB154) <=> v102(constB153)),
% 7.86/5.45 inference(unit_resolution,[status(thm)],[2774, 2736, 904])).
% 7.86/5.45 tff(2776,plain,
% 7.86/5.45 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB153) <=> (v105(constB153) | v106(constB153)))),
% 7.86/5.45 inference(quant_inst,[status(thm)],[])).
% 7.86/5.45 tff(2777,plain,
% 7.86/5.45 (v102(constB153) <=> (v105(constB153) | v106(constB153))),
% 7.86/5.45 inference(unit_resolution,[status(thm)],[2776, 915])).
% 7.86/5.45 tff(2778,plain,
% 7.86/5.45 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB153) <=> (~((~v107(constB153)) | (~v120(constB153)))))),
% 7.86/5.45 inference(quant_inst,[status(thm)],[])).
% 7.86/5.45 tff(2779,plain,
% 7.86/5.45 (v106(constB153) <=> (~((~v107(constB153)) | (~v120(constB153))))),
% 7.86/5.45 inference(unit_resolution,[status(thm)],[2778, 927])).
% 7.86/5.45 tff(2780,plain,
% 7.86/5.45 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB153) <=> (v108(constB153) | v119(constB153)))),
% 7.86/5.45 inference(quant_inst,[status(thm)],[])).
% 7.86/5.45 tff(2781,plain,
% 7.86/5.45 (v107(constB153) <=> (v108(constB153) | v119(constB153))),
% 7.86/5.45 inference(unit_resolution,[status(thm)],[2780, 936])).
% 7.86/5.45 tff(2782,plain,
% 7.86/5.45 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB153) <=> (v109(constB153) | v118(constB153)))),
% 7.86/5.45 inference(quant_inst,[status(thm)],[])).
% 7.86/5.45 tff(2783,plain,
% 7.86/5.45 (v108(constB153) <=> (v109(constB153) | v118(constB153))),
% 7.86/5.45 inference(unit_resolution,[status(thm)],[2782, 945])).
% 7.86/5.45 tff(2784,plain,
% 7.86/5.45 ((~![VarCurr: $i] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB153) <=> (v110(constB153) | v117(constB153)))),
% 7.86/5.45 inference(quant_inst,[status(thm)],[])).
% 7.86/5.45 tff(2785,plain,
% 7.86/5.45 (v109(constB153) <=> (v110(constB153) | v117(constB153))),
% 7.86/5.45 inference(unit_resolution,[status(thm)],[2784, 1056])).
% 7.86/5.45 tff(2786,plain,
% 7.86/5.45 (((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB153) <=> (~((~v84(constB153, bitIndex2)) | v84(constB153, bitIndex1) | v84(constB153, bitIndex0))))) <=> ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB153) <=> (~((~v84(constB153, bitIndex2)) | v84(constB153, bitIndex1) | v84(constB153, bitIndex0)))))),
% 7.86/5.45 inference(rewrite,[status(thm)],[])).
% 7.86/5.45 tff(2787,plain,
% 7.86/5.45 ((v117(constB153) <=> (~(v84(constB153, bitIndex0) | v84(constB153, bitIndex1) | (~v84(constB153, bitIndex2))))) <=> (v117(constB153) <=> (~((~v84(constB153, bitIndex2)) | v84(constB153, bitIndex1) | v84(constB153, bitIndex0))))),
% 7.86/5.45 inference(rewrite,[status(thm)],[])).
% 7.86/5.45 tff(2788,plain,
% 7.86/5.45 (((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB153) <=> (~(v84(constB153, bitIndex0) | v84(constB153, bitIndex1) | (~v84(constB153, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB153) <=> (~((~v84(constB153, bitIndex2)) | v84(constB153, bitIndex1) | v84(constB153, bitIndex0)))))),
% 7.86/5.45 inference(monotonicity,[status(thm)],[2787])).
% 7.86/5.45 tff(2789,plain,
% 7.86/5.45 (((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB153) <=> (~(v84(constB153, bitIndex0) | v84(constB153, bitIndex1) | (~v84(constB153, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB153) <=> (~((~v84(constB153, bitIndex2)) | v84(constB153, bitIndex1) | v84(constB153, bitIndex0)))))),
% 7.86/5.45 inference(transitivity,[status(thm)],[2788, 2786])).
% 7.86/5.45 tff(2790,plain,
% 7.86/5.45 ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB153) <=> (~(v84(constB153, bitIndex0) | v84(constB153, bitIndex1) | (~v84(constB153, bitIndex2)))))),
% 7.86/5.45 inference(quant_inst,[status(thm)],[])).
% 7.86/5.45 tff(2791,plain,
% 7.86/5.45 ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB153) <=> (~((~v84(constB153, bitIndex2)) | v84(constB153, bitIndex1) | v84(constB153, bitIndex0))))),
% 7.86/5.45 inference(modus_ponens,[status(thm)],[2790, 2789])).
% 7.86/5.45 tff(2792,plain,
% 7.86/5.45 (v117(constB153) <=> (~((~v84(constB153, bitIndex2)) | v84(constB153, bitIndex1) | v84(constB153, bitIndex0)))),
% 7.86/5.45 inference(unit_resolution,[status(thm)],[2791, 1071])).
% 7.86/5.45 tff(2793,plain,
% 7.86/5.45 (nextState(constB152, constB153) <=> nextState(constB152, constB153)),
% 7.86/5.45 inference(rewrite,[status(thm)],[])).
% 7.86/5.45 tff(2794,axiom,(nextState(constB152, constB153)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_152')).
% 7.86/5.45 tff(2795,plain,
% 7.86/5.45 (nextState(constB152, constB153)),
% 7.86/5.45 inference(modus_ponens,[status(thm)],[2794, 2793])).
% 7.86/5.45 tff(2796,plain,
% 7.86/5.45 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB152, constB153)) | (v94(constB153) <=> (~((~v104(constB153)) | (~v95(constB153))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB152, constB153)) | (v94(constB153) <=> (~((~v104(constB153)) | (~v95(constB153))))))),
% 7.86/5.45 inference(rewrite,[status(thm)],[])).
% 7.86/5.45 tff(2797,plain,
% 7.86/5.45 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB152, constB153)) | (v94(constB153) <=> (~((~v104(constB153)) | (~v95(constB153))))))),
% 7.86/5.45 inference(quant_inst,[status(thm)],[])).
% 7.86/5.45 tff(2798,plain,
% 7.86/5.45 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB152, constB153)) | (v94(constB153) <=> (~((~v104(constB153)) | (~v95(constB153)))))),
% 7.86/5.45 inference(modus_ponens,[status(thm)],[2797, 2796])).
% 7.86/5.45 tff(2799,plain,
% 7.86/5.45 (v94(constB153) <=> (~((~v104(constB153)) | (~v95(constB153))))),
% 7.86/5.45 inference(unit_resolution,[status(thm)],[2798, 2795, 775])).
% 7.86/5.45 tff(2800,plain,
% 7.86/5.45 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB152, constB153)) | (v95(constB153) <=> (~((~v1(constB153)) | (~v96(constB153))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB152, constB153)) | (v95(constB153) <=> (~((~v1(constB153)) | (~v96(constB153))))))),
% 7.86/5.45 inference(rewrite,[status(thm)],[])).
% 7.86/5.45 tff(2801,plain,
% 7.86/5.45 (((~nextState(constB152, constB153)) | (v95(constB153) <=> (~((~v96(constB153)) | (~v1(constB153)))))) <=> ((~nextState(constB152, constB153)) | (v95(constB153) <=> (~((~v1(constB153)) | (~v96(constB153))))))),
% 7.86/5.45 inference(rewrite,[status(thm)],[])).
% 7.86/5.45 tff(2802,plain,
% 7.86/5.45 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB152, constB153)) | (v95(constB153) <=> (~((~v96(constB153)) | (~v1(constB153))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB152, constB153)) | (v95(constB153) <=> (~((~v1(constB153)) | (~v96(constB153)))))))),
% 7.86/5.45 inference(monotonicity,[status(thm)],[2801])).
% 7.86/5.45 tff(2803,plain,
% 7.86/5.45 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB152, constB153)) | (v95(constB153) <=> (~((~v96(constB153)) | (~v1(constB153))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB152, constB153)) | (v95(constB153) <=> (~((~v1(constB153)) | (~v96(constB153))))))),
% 7.86/5.45 inference(transitivity,[status(thm)],[2802, 2800])).
% 7.86/5.45 tff(2804,plain,
% 7.86/5.45 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB152, constB153)) | (v95(constB153) <=> (~((~v96(constB153)) | (~v1(constB153))))))),
% 7.86/5.45 inference(quant_inst,[status(thm)],[])).
% 7.86/5.45 tff(2805,plain,
% 7.86/5.45 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB152, constB153)) | (v95(constB153) <=> (~((~v1(constB153)) | (~v96(constB153)))))),
% 7.86/5.45 inference(modus_ponens,[status(thm)],[2804, 2803])).
% 7.86/5.45 tff(2806,plain,
% 7.86/5.45 (v95(constB153) <=> (~((~v1(constB153)) | (~v96(constB153))))),
% 7.86/5.45 inference(unit_resolution,[status(thm)],[2805, 2795, 795])).
% 7.86/5.45 tff(2807,plain,
% 7.86/5.45 (((~v1(constB153)) | (~v96(constB153))) | v1(constB153)),
% 7.86/5.45 inference(tautology,[status(thm)],[])).
% 7.86/5.45 tff(2808,plain,
% 7.86/5.45 ((~v1(constB153)) | (~v96(constB153))),
% 7.86/5.45 inference(unit_resolution,[status(thm)],[2807, 2758])).
% 7.86/5.45 tff(2809,plain,
% 7.86/5.45 ((~(v95(constB153) <=> (~((~v1(constB153)) | (~v96(constB153)))))) | (~v95(constB153)) | (~((~v1(constB153)) | (~v96(constB153))))),
% 7.86/5.45 inference(tautology,[status(thm)],[])).
% 7.86/5.45 tff(2810,plain,
% 7.86/5.45 ((~(v95(constB153) <=> (~((~v1(constB153)) | (~v96(constB153)))))) | (~v95(constB153))),
% 7.86/5.45 inference(unit_resolution,[status(thm)],[2809, 2808])).
% 7.86/5.45 tff(2811,plain,
% 7.86/5.45 (~v95(constB153)),
% 7.86/5.45 inference(unit_resolution,[status(thm)],[2810, 2806])).
% 7.86/5.45 tff(2812,plain,
% 7.86/5.45 (((~v104(constB153)) | (~v95(constB153))) | v95(constB153)),
% 7.86/5.45 inference(tautology,[status(thm)],[])).
% 7.86/5.45 tff(2813,plain,
% 7.86/5.45 ((~v104(constB153)) | (~v95(constB153))),
% 7.86/5.45 inference(unit_resolution,[status(thm)],[2812, 2811])).
% 7.86/5.45 tff(2814,plain,
% 7.86/5.45 ((~(v94(constB153) <=> (~((~v104(constB153)) | (~v95(constB153)))))) | (~v94(constB153)) | (~((~v104(constB153)) | (~v95(constB153))))),
% 7.86/5.45 inference(tautology,[status(thm)],[])).
% 7.86/5.45 tff(2815,plain,
% 7.86/5.45 (~v94(constB153)),
% 7.86/5.45 inference(unit_resolution,[status(thm)],[2814, 2813, 2799])).
% 7.86/5.45 tff(2816,plain,
% 7.86/5.45 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB153) | (~nextState(constB152, constB153)) | ![B: $i] : ((~less_3(B)) | (v84(constB153, B) <=> v84(constB152, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB153) | (~nextState(constB152, constB153)) | ![B: $i] : ((~less_3(B)) | (v84(constB153, B) <=> v84(constB152, B))))),
% 7.86/5.45 inference(rewrite,[status(thm)],[])).
% 7.86/5.45 tff(2817,plain,
% 7.86/5.45 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB153) | (~nextState(constB152, constB153)) | ![B: $i] : ((~less_3(B)) | (v84(constB153, B) <=> v84(constB152, B))))),
% 7.86/5.45 inference(quant_inst,[status(thm)],[])).
% 7.86/5.45 tff(2818,plain,
% 7.86/5.45 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB153) | (~nextState(constB152, constB153)) | ![B: $i] : ((~less_3(B)) | (v84(constB153, B) <=> v84(constB152, B)))),
% 7.86/5.45 inference(modus_ponens,[status(thm)],[2817, 2816])).
% 7.86/5.45 tff(2819,plain,
% 7.86/5.45 (v94(constB153) | ![B: $i] : ((~less_3(B)) | (v84(constB153, B) <=> v84(constB152, B)))),
% 7.86/5.45 inference(unit_resolution,[status(thm)],[2818, 2795, 824])).
% 7.86/5.45 tff(2820,plain,
% 7.86/5.45 (![B: $i] : ((~less_3(B)) | (v84(constB153, B) <=> v84(constB152, B)))),
% 7.86/5.45 inference(unit_resolution,[status(thm)],[2819, 2815])).
% 7.86/5.45 tff(2821,plain,
% 7.86/5.45 (((~![B: $i] : ((~less_3(B)) | (v84(constB153, B) <=> v84(constB152, B)))) | ((~less_3(bitIndex2)) | (v84(constB153, bitIndex2) <=> v84(constB152, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB153, B) <=> v84(constB152, B)))) | (~less_3(bitIndex2)) | (v84(constB153, bitIndex2) <=> v84(constB152, bitIndex2)))),
% 7.86/5.45 inference(rewrite,[status(thm)],[])).
% 7.86/5.45 tff(2822,plain,
% 7.86/5.45 ((~![B: $i] : ((~less_3(B)) | (v84(constB153, B) <=> v84(constB152, B)))) | ((~less_3(bitIndex2)) | (v84(constB153, bitIndex2) <=> v84(constB152, bitIndex2)))),
% 7.86/5.45 inference(quant_inst,[status(thm)],[])).
% 7.86/5.45 tff(2823,plain,
% 7.86/5.45 ((~![B: $i] : ((~less_3(B)) | (v84(constB153, B) <=> v84(constB152, B)))) | (~less_3(bitIndex2)) | (v84(constB153, bitIndex2) <=> v84(constB152, bitIndex2))),
% 7.86/5.45 inference(modus_ponens,[status(thm)],[2822, 2821])).
% 7.86/5.45 tff(2824,plain,
% 7.86/5.45 (v84(constB153, bitIndex2) <=> v84(constB152, bitIndex2)),
% 7.86/5.45 inference(unit_resolution,[status(thm)],[2823, 832, 2820])).
% 7.86/5.45 tff(2825,plain,
% 7.86/5.45 (nextState(constB151, constB152) <=> nextState(constB151, constB152)),
% 7.86/5.45 inference(rewrite,[status(thm)],[])).
% 7.86/5.45 tff(2826,axiom,(nextState(constB151, constB152)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_151')).
% 7.86/5.45 tff(2827,plain,
% 7.86/5.45 (nextState(constB151, constB152)),
% 7.86/5.45 inference(modus_ponens,[status(thm)],[2826, 2825])).
% 7.86/5.45 tff(2828,plain,
% 7.86/5.45 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB151, constB152)) | (v94(constB152) <=> (~((~v104(constB152)) | (~v95(constB152))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB151, constB152)) | (v94(constB152) <=> (~((~v104(constB152)) | (~v95(constB152))))))),
% 7.86/5.45 inference(rewrite,[status(thm)],[])).
% 7.86/5.45 tff(2829,plain,
% 7.86/5.45 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB151, constB152)) | (v94(constB152) <=> (~((~v104(constB152)) | (~v95(constB152))))))),
% 7.86/5.45 inference(quant_inst,[status(thm)],[])).
% 7.86/5.45 tff(2830,plain,
% 7.86/5.45 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB151, constB152)) | (v94(constB152) <=> (~((~v104(constB152)) | (~v95(constB152)))))),
% 7.86/5.45 inference(modus_ponens,[status(thm)],[2829, 2828])).
% 7.86/5.45 tff(2831,plain,
% 7.86/5.45 (v94(constB152) <=> (~((~v104(constB152)) | (~v95(constB152))))),
% 7.86/5.45 inference(unit_resolution,[status(thm)],[2830, 2827, 775])).
% 7.86/5.45 tff(2832,plain,
% 7.86/5.45 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB151, constB152)) | (v95(constB152) <=> (~((~v1(constB152)) | (~v96(constB152))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB151, constB152)) | (v95(constB152) <=> (~((~v1(constB152)) | (~v96(constB152))))))),
% 7.86/5.45 inference(rewrite,[status(thm)],[])).
% 7.86/5.45 tff(2833,plain,
% 7.86/5.45 (((~nextState(constB151, constB152)) | (v95(constB152) <=> (~((~v96(constB152)) | (~v1(constB152)))))) <=> ((~nextState(constB151, constB152)) | (v95(constB152) <=> (~((~v1(constB152)) | (~v96(constB152))))))),
% 7.86/5.45 inference(rewrite,[status(thm)],[])).
% 7.86/5.45 tff(2834,plain,
% 7.86/5.45 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB151, constB152)) | (v95(constB152) <=> (~((~v96(constB152)) | (~v1(constB152))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB151, constB152)) | (v95(constB152) <=> (~((~v1(constB152)) | (~v96(constB152)))))))),
% 7.86/5.45 inference(monotonicity,[status(thm)],[2833])).
% 7.86/5.45 tff(2835,plain,
% 7.86/5.45 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB151, constB152)) | (v95(constB152) <=> (~((~v96(constB152)) | (~v1(constB152))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB151, constB152)) | (v95(constB152) <=> (~((~v1(constB152)) | (~v96(constB152))))))),
% 7.86/5.45 inference(transitivity,[status(thm)],[2834, 2832])).
% 7.86/5.45 tff(2836,plain,
% 7.86/5.45 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB151, constB152)) | (v95(constB152) <=> (~((~v96(constB152)) | (~v1(constB152))))))),
% 7.86/5.45 inference(quant_inst,[status(thm)],[])).
% 7.86/5.45 tff(2837,plain,
% 7.86/5.45 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB151, constB152)) | (v95(constB152) <=> (~((~v1(constB152)) | (~v96(constB152)))))),
% 7.86/5.45 inference(modus_ponens,[status(thm)],[2836, 2835])).
% 7.86/5.45 tff(2838,plain,
% 7.86/5.45 (v95(constB152) <=> (~((~v1(constB152)) | (~v96(constB152))))),
% 7.86/5.45 inference(unit_resolution,[status(thm)],[2837, 2827, 795])).
% 7.86/5.45 tff(2839,plain,
% 7.86/5.45 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB151, constB152)) | ((~v96(constB152)) <=> v98(constB152)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB151, constB152)) | ((~v96(constB152)) <=> v98(constB152)))),
% 7.86/5.45 inference(rewrite,[status(thm)],[])).
% 7.86/5.45 tff(2840,plain,
% 7.86/5.45 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB151, constB152)) | ((~v96(constB152)) <=> v98(constB152)))),
% 7.86/5.45 inference(quant_inst,[status(thm)],[])).
% 7.86/5.45 tff(2841,plain,
% 7.86/5.45 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB151, constB152)) | ((~v96(constB152)) <=> v98(constB152))),
% 7.86/5.45 inference(modus_ponens,[status(thm)],[2840, 2839])).
% 7.86/5.45 tff(2842,plain,
% 7.86/5.45 ((~v96(constB152)) <=> v98(constB152)),
% 7.86/5.45 inference(unit_resolution,[status(thm)],[2841, 2827, 860])).
% 7.86/5.45 tff(2843,plain,
% 7.86/5.45 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB151, constB152)) | (v98(constB152) <=> v1(constB151)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB151, constB152)) | (v98(constB152) <=> v1(constB151)))),
% 7.86/5.45 inference(rewrite,[status(thm)],[])).
% 7.86/5.45 tff(2844,plain,
% 7.86/5.45 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB151, constB152)) | (v98(constB152) <=> v1(constB151)))),
% 7.94/5.45 inference(quant_inst,[status(thm)],[])).
% 7.94/5.45 tff(2845,plain,
% 7.94/5.45 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB151, constB152)) | (v98(constB152) <=> v1(constB151))),
% 7.94/5.45 inference(modus_ponens,[status(thm)],[2844, 2843])).
% 7.94/5.45 tff(2846,plain,
% 7.94/5.45 (v98(constB152) <=> v1(constB151)),
% 7.94/5.45 inference(unit_resolution,[status(thm)],[2845, 2827, 874])).
% 7.94/5.45 tff(2847,plain,
% 7.94/5.45 ((~v1(constB151)) <=> (~v1(constB151))),
% 7.94/5.45 inference(rewrite,[status(thm)],[])).
% 7.94/5.45 tff(2848,axiom,(~v1(constB151)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_151')).
% 7.94/5.45 tff(2849,plain,
% 7.94/5.45 (~v1(constB151)),
% 7.94/5.45 inference(modus_ponens,[status(thm)],[2848, 2847])).
% 7.94/5.45 tff(2850,plain,
% 7.94/5.45 ((~(v98(constB152) <=> v1(constB151))) | (~v98(constB152)) | v1(constB151)),
% 7.94/5.45 inference(tautology,[status(thm)],[])).
% 7.94/5.45 tff(2851,plain,
% 7.94/5.45 ((~(v98(constB152) <=> v1(constB151))) | (~v98(constB152))),
% 7.94/5.45 inference(unit_resolution,[status(thm)],[2850, 2849])).
% 7.94/5.45 tff(2852,plain,
% 7.94/5.45 (~v98(constB152)),
% 7.94/5.45 inference(unit_resolution,[status(thm)],[2851, 2846])).
% 7.94/5.45 tff(2853,plain,
% 7.94/5.45 ((~((~v96(constB152)) <=> v98(constB152))) | v96(constB152) | v98(constB152)),
% 7.94/5.45 inference(tautology,[status(thm)],[])).
% 7.94/5.45 tff(2854,plain,
% 7.94/5.45 (v96(constB152)),
% 7.94/5.45 inference(unit_resolution,[status(thm)],[2853, 2852, 2842])).
% 7.94/5.45 tff(2855,plain,
% 7.94/5.45 (v1(constB152) <=> v1(constB152)),
% 7.94/5.45 inference(rewrite,[status(thm)],[])).
% 7.94/5.45 tff(2856,axiom,(v1(constB152)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_152')).
% 7.94/5.45 tff(2857,plain,
% 7.94/5.45 (v1(constB152)),
% 7.94/5.45 inference(modus_ponens,[status(thm)],[2856, 2855])).
% 7.94/5.45 tff(2858,plain,
% 7.94/5.45 ((~((~v1(constB152)) | (~v96(constB152)))) | (~v1(constB152)) | (~v96(constB152))),
% 7.94/5.45 inference(tautology,[status(thm)],[])).
% 7.94/5.45 tff(2859,plain,
% 7.94/5.45 ((~((~v1(constB152)) | (~v96(constB152)))) | (~v96(constB152))),
% 7.94/5.45 inference(unit_resolution,[status(thm)],[2858, 2857])).
% 7.94/5.45 tff(2860,plain,
% 7.94/5.45 (~((~v1(constB152)) | (~v96(constB152)))),
% 7.94/5.45 inference(unit_resolution,[status(thm)],[2859, 2854])).
% 7.94/5.45 tff(2861,plain,
% 7.94/5.45 ((~(v95(constB152) <=> (~((~v1(constB152)) | (~v96(constB152)))))) | v95(constB152) | ((~v1(constB152)) | (~v96(constB152)))),
% 7.94/5.45 inference(tautology,[status(thm)],[])).
% 7.94/5.45 tff(2862,plain,
% 7.94/5.45 (v95(constB152)),
% 7.94/5.45 inference(unit_resolution,[status(thm)],[2861, 2860, 2838])).
% 7.94/5.45 tff(2863,plain,
% 7.94/5.45 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB151, constB152)) | (v104(constB152) <=> v102(constB151)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB151, constB152)) | (v104(constB152) <=> v102(constB151)))),
% 7.94/5.45 inference(rewrite,[status(thm)],[])).
% 7.94/5.45 tff(2864,plain,
% 7.94/5.45 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB151, constB152)) | (v104(constB152) <=> v102(constB151)))),
% 7.94/5.45 inference(quant_inst,[status(thm)],[])).
% 7.94/5.45 tff(2865,plain,
% 7.94/5.45 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB151, constB152)) | (v104(constB152) <=> v102(constB151))),
% 7.94/5.45 inference(modus_ponens,[status(thm)],[2864, 2863])).
% 7.94/5.45 tff(2866,plain,
% 7.94/5.45 (v104(constB152) <=> v102(constB151)),
% 7.94/5.45 inference(unit_resolution,[status(thm)],[2865, 2827, 904])).
% 7.94/5.45 tff(2867,plain,
% 7.94/5.45 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB151) <=> (v105(constB151) | v106(constB151)))),
% 7.94/5.45 inference(quant_inst,[status(thm)],[])).
% 7.94/5.45 tff(2868,plain,
% 7.94/5.45 (v102(constB151) <=> (v105(constB151) | v106(constB151))),
% 7.94/5.45 inference(unit_resolution,[status(thm)],[2867, 915])).
% 7.94/5.45 tff(2869,plain,
% 7.94/5.45 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB151) <=> (~((~v107(constB151)) | (~v120(constB151)))))),
% 7.94/5.45 inference(quant_inst,[status(thm)],[])).
% 7.94/5.45 tff(2870,plain,
% 7.94/5.46 (v106(constB151) <=> (~((~v107(constB151)) | (~v120(constB151))))),
% 7.94/5.46 inference(unit_resolution,[status(thm)],[2869, 927])).
% 7.94/5.46 tff(2871,plain,
% 7.94/5.46 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB151) <=> (v108(constB151) | v119(constB151)))),
% 7.94/5.46 inference(quant_inst,[status(thm)],[])).
% 7.94/5.46 tff(2872,plain,
% 7.94/5.46 (v107(constB151) <=> (v108(constB151) | v119(constB151))),
% 7.94/5.46 inference(unit_resolution,[status(thm)],[2871, 936])).
% 7.94/5.46 tff(2873,plain,
% 7.94/5.46 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB151) <=> (v109(constB151) | v118(constB151)))),
% 7.94/5.46 inference(quant_inst,[status(thm)],[])).
% 7.94/5.46 tff(2874,plain,
% 7.94/5.46 (v108(constB151) <=> (v109(constB151) | v118(constB151))),
% 7.94/5.46 inference(unit_resolution,[status(thm)],[2873, 945])).
% 7.94/5.46 tff(2875,plain,
% 7.94/5.46 ((~![VarCurr: $i] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB151) <=> (v110(constB151) | v117(constB151)))),
% 7.94/5.46 inference(quant_inst,[status(thm)],[])).
% 7.94/5.46 tff(2876,plain,
% 7.94/5.46 (v109(constB151) <=> (v110(constB151) | v117(constB151))),
% 7.94/5.46 inference(unit_resolution,[status(thm)],[2875, 1056])).
% 7.94/5.46 tff(2877,plain,
% 7.94/5.46 ((~![VarCurr: $i] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB151) <=> (v111(constB151) | v116(constB151)))),
% 7.94/5.46 inference(quant_inst,[status(thm)],[])).
% 7.94/5.46 tff(2878,plain,
% 7.94/5.46 (v110(constB151) <=> (v111(constB151) | v116(constB151))),
% 7.94/5.46 inference(unit_resolution,[status(thm)],[2877, 1169])).
% 7.94/5.46 tff(2879,plain,
% 7.94/5.46 ((~![VarCurr: $i] : (v116(VarCurr) <=> (~(v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex0)))))) | (v116(constB151) <=> (~(v84(constB151, bitIndex2) | (~v84(constB151, bitIndex1)) | (~v84(constB151, bitIndex0)))))),
% 7.94/5.46 inference(quant_inst,[status(thm)],[])).
% 7.94/5.46 tff(2880,plain,
% 7.94/5.46 (v116(constB151) <=> (~(v84(constB151, bitIndex2) | (~v84(constB151, bitIndex1)) | (~v84(constB151, bitIndex0))))),
% 7.94/5.46 inference(unit_resolution,[status(thm)],[2879, 1184])).
% 7.94/5.46 tff(2881,plain,
% 7.94/5.46 (nextState(constB150, constB151) <=> nextState(constB150, constB151)),
% 7.94/5.46 inference(rewrite,[status(thm)],[])).
% 7.94/5.46 tff(2882,axiom,(nextState(constB150, constB151)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_150')).
% 7.94/5.46 tff(2883,plain,
% 7.94/5.46 (nextState(constB150, constB151)),
% 7.94/5.46 inference(modus_ponens,[status(thm)],[2882, 2881])).
% 7.94/5.46 tff(2884,plain,
% 7.94/5.46 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB150, constB151)) | (v94(constB151) <=> (~((~v104(constB151)) | (~v95(constB151))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB150, constB151)) | (v94(constB151) <=> (~((~v104(constB151)) | (~v95(constB151))))))),
% 7.94/5.46 inference(rewrite,[status(thm)],[])).
% 7.94/5.46 tff(2885,plain,
% 7.94/5.46 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB150, constB151)) | (v94(constB151) <=> (~((~v104(constB151)) | (~v95(constB151))))))),
% 7.94/5.46 inference(quant_inst,[status(thm)],[])).
% 7.94/5.46 tff(2886,plain,
% 7.94/5.46 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB150, constB151)) | (v94(constB151) <=> (~((~v104(constB151)) | (~v95(constB151)))))),
% 7.94/5.46 inference(modus_ponens,[status(thm)],[2885, 2884])).
% 7.94/5.46 tff(2887,plain,
% 7.94/5.46 (v94(constB151) <=> (~((~v104(constB151)) | (~v95(constB151))))),
% 7.94/5.46 inference(unit_resolution,[status(thm)],[2886, 2883, 775])).
% 7.94/5.46 tff(2888,plain,
% 7.94/5.46 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB150, constB151)) | (v95(constB151) <=> (~((~v1(constB151)) | (~v96(constB151))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB150, constB151)) | (v95(constB151) <=> (~((~v1(constB151)) | (~v96(constB151))))))),
% 7.94/5.46 inference(rewrite,[status(thm)],[])).
% 7.94/5.46 tff(2889,plain,
% 7.94/5.46 (((~nextState(constB150, constB151)) | (v95(constB151) <=> (~((~v96(constB151)) | (~v1(constB151)))))) <=> ((~nextState(constB150, constB151)) | (v95(constB151) <=> (~((~v1(constB151)) | (~v96(constB151))))))),
% 7.94/5.46 inference(rewrite,[status(thm)],[])).
% 7.94/5.46 tff(2890,plain,
% 7.94/5.46 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB150, constB151)) | (v95(constB151) <=> (~((~v96(constB151)) | (~v1(constB151))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB150, constB151)) | (v95(constB151) <=> (~((~v1(constB151)) | (~v96(constB151)))))))),
% 7.94/5.46 inference(monotonicity,[status(thm)],[2889])).
% 7.94/5.46 tff(2891,plain,
% 7.94/5.46 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB150, constB151)) | (v95(constB151) <=> (~((~v96(constB151)) | (~v1(constB151))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB150, constB151)) | (v95(constB151) <=> (~((~v1(constB151)) | (~v96(constB151))))))),
% 7.94/5.46 inference(transitivity,[status(thm)],[2890, 2888])).
% 7.94/5.46 tff(2892,plain,
% 7.94/5.46 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB150, constB151)) | (v95(constB151) <=> (~((~v96(constB151)) | (~v1(constB151))))))),
% 7.94/5.46 inference(quant_inst,[status(thm)],[])).
% 7.94/5.46 tff(2893,plain,
% 7.94/5.46 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB150, constB151)) | (v95(constB151) <=> (~((~v1(constB151)) | (~v96(constB151)))))),
% 7.94/5.46 inference(modus_ponens,[status(thm)],[2892, 2891])).
% 7.94/5.46 tff(2894,plain,
% 7.94/5.46 (v95(constB151) <=> (~((~v1(constB151)) | (~v96(constB151))))),
% 7.94/5.46 inference(unit_resolution,[status(thm)],[2893, 2883, 795])).
% 7.94/5.46 tff(2895,plain,
% 7.94/5.46 (((~v1(constB151)) | (~v96(constB151))) | v1(constB151)),
% 7.94/5.46 inference(tautology,[status(thm)],[])).
% 7.94/5.46 tff(2896,plain,
% 7.94/5.46 ((~v1(constB151)) | (~v96(constB151))),
% 7.94/5.46 inference(unit_resolution,[status(thm)],[2895, 2849])).
% 7.94/5.46 tff(2897,plain,
% 7.94/5.46 ((~(v95(constB151) <=> (~((~v1(constB151)) | (~v96(constB151)))))) | (~v95(constB151)) | (~((~v1(constB151)) | (~v96(constB151))))),
% 7.94/5.46 inference(tautology,[status(thm)],[])).
% 7.94/5.46 tff(2898,plain,
% 7.94/5.46 ((~(v95(constB151) <=> (~((~v1(constB151)) | (~v96(constB151)))))) | (~v95(constB151))),
% 7.94/5.46 inference(unit_resolution,[status(thm)],[2897, 2896])).
% 7.94/5.46 tff(2899,plain,
% 7.94/5.46 (~v95(constB151)),
% 7.94/5.46 inference(unit_resolution,[status(thm)],[2898, 2894])).
% 7.94/5.46 tff(2900,plain,
% 7.94/5.46 (((~v104(constB151)) | (~v95(constB151))) | v95(constB151)),
% 7.94/5.46 inference(tautology,[status(thm)],[])).
% 7.94/5.46 tff(2901,plain,
% 7.94/5.46 ((~v104(constB151)) | (~v95(constB151))),
% 7.94/5.46 inference(unit_resolution,[status(thm)],[2900, 2899])).
% 7.94/5.46 tff(2902,plain,
% 7.94/5.46 ((~(v94(constB151) <=> (~((~v104(constB151)) | (~v95(constB151)))))) | (~v94(constB151)) | (~((~v104(constB151)) | (~v95(constB151))))),
% 7.94/5.46 inference(tautology,[status(thm)],[])).
% 7.94/5.46 tff(2903,plain,
% 7.94/5.46 (~v94(constB151)),
% 7.94/5.46 inference(unit_resolution,[status(thm)],[2902, 2901, 2887])).
% 7.94/5.46 tff(2904,plain,
% 7.94/5.46 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB151) | (~nextState(constB150, constB151)) | ![B: $i] : ((~less_3(B)) | (v84(constB151, B) <=> v84(constB150, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB151) | (~nextState(constB150, constB151)) | ![B: $i] : ((~less_3(B)) | (v84(constB151, B) <=> v84(constB150, B))))),
% 7.94/5.46 inference(rewrite,[status(thm)],[])).
% 7.94/5.46 tff(2905,plain,
% 7.94/5.46 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB151) | (~nextState(constB150, constB151)) | ![B: $i] : ((~less_3(B)) | (v84(constB151, B) <=> v84(constB150, B))))),
% 7.94/5.46 inference(quant_inst,[status(thm)],[])).
% 7.94/5.46 tff(2906,plain,
% 7.94/5.46 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB151) | (~nextState(constB150, constB151)) | ![B: $i] : ((~less_3(B)) | (v84(constB151, B) <=> v84(constB150, B)))),
% 7.94/5.46 inference(modus_ponens,[status(thm)],[2905, 2904])).
% 7.94/5.46 tff(2907,plain,
% 7.94/5.46 (v94(constB151) | ![B: $i] : ((~less_3(B)) | (v84(constB151, B) <=> v84(constB150, B)))),
% 7.94/5.46 inference(unit_resolution,[status(thm)],[2906, 2883, 824])).
% 7.94/5.46 tff(2908,plain,
% 7.94/5.46 (![B: $i] : ((~less_3(B)) | (v84(constB151, B) <=> v84(constB150, B)))),
% 7.94/5.46 inference(unit_resolution,[status(thm)],[2907, 2903])).
% 7.94/5.46 tff(2909,plain,
% 7.94/5.46 (((~![B: $i] : ((~less_3(B)) | (v84(constB151, B) <=> v84(constB150, B)))) | ((~less_3(bitIndex2)) | (v84(constB151, bitIndex2) <=> v84(constB150, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB151, B) <=> v84(constB150, B)))) | (~less_3(bitIndex2)) | (v84(constB151, bitIndex2) <=> v84(constB150, bitIndex2)))),
% 7.94/5.46 inference(rewrite,[status(thm)],[])).
% 7.94/5.46 tff(2910,plain,
% 7.94/5.46 ((~![B: $i] : ((~less_3(B)) | (v84(constB151, B) <=> v84(constB150, B)))) | ((~less_3(bitIndex2)) | (v84(constB151, bitIndex2) <=> v84(constB150, bitIndex2)))),
% 7.94/5.46 inference(quant_inst,[status(thm)],[])).
% 7.94/5.46 tff(2911,plain,
% 7.94/5.46 ((~![B: $i] : ((~less_3(B)) | (v84(constB151, B) <=> v84(constB150, B)))) | (~less_3(bitIndex2)) | (v84(constB151, bitIndex2) <=> v84(constB150, bitIndex2))),
% 7.94/5.46 inference(modus_ponens,[status(thm)],[2910, 2909])).
% 7.94/5.46 tff(2912,plain,
% 7.94/5.46 (v84(constB151, bitIndex2) <=> v84(constB150, bitIndex2)),
% 7.94/5.46 inference(unit_resolution,[status(thm)],[2911, 832, 2908])).
% 7.94/5.46 tff(2913,plain,
% 7.94/5.46 (nextState(constB149, constB150) <=> nextState(constB149, constB150)),
% 7.94/5.46 inference(rewrite,[status(thm)],[])).
% 7.94/5.46 tff(2914,axiom,(nextState(constB149, constB150)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_149')).
% 7.94/5.46 tff(2915,plain,
% 7.94/5.46 (nextState(constB149, constB150)),
% 7.94/5.46 inference(modus_ponens,[status(thm)],[2914, 2913])).
% 7.94/5.46 tff(2916,plain,
% 7.94/5.46 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB149, constB150)) | (v94(constB150) <=> (~((~v104(constB150)) | (~v95(constB150))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB149, constB150)) | (v94(constB150) <=> (~((~v104(constB150)) | (~v95(constB150))))))),
% 7.94/5.46 inference(rewrite,[status(thm)],[])).
% 7.94/5.46 tff(2917,plain,
% 7.94/5.46 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB149, constB150)) | (v94(constB150) <=> (~((~v104(constB150)) | (~v95(constB150))))))),
% 7.94/5.46 inference(quant_inst,[status(thm)],[])).
% 7.94/5.46 tff(2918,plain,
% 7.94/5.46 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB149, constB150)) | (v94(constB150) <=> (~((~v104(constB150)) | (~v95(constB150)))))),
% 7.94/5.46 inference(modus_ponens,[status(thm)],[2917, 2916])).
% 7.94/5.46 tff(2919,plain,
% 7.94/5.46 (v94(constB150) <=> (~((~v104(constB150)) | (~v95(constB150))))),
% 7.94/5.46 inference(unit_resolution,[status(thm)],[2918, 2915, 775])).
% 7.94/5.46 tff(2920,plain,
% 7.94/5.46 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB149, constB150)) | (v95(constB150) <=> (~((~v1(constB150)) | (~v96(constB150))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB149, constB150)) | (v95(constB150) <=> (~((~v1(constB150)) | (~v96(constB150))))))),
% 7.94/5.46 inference(rewrite,[status(thm)],[])).
% 7.94/5.46 tff(2921,plain,
% 7.94/5.46 (((~nextState(constB149, constB150)) | (v95(constB150) <=> (~((~v96(constB150)) | (~v1(constB150)))))) <=> ((~nextState(constB149, constB150)) | (v95(constB150) <=> (~((~v1(constB150)) | (~v96(constB150))))))),
% 7.94/5.46 inference(rewrite,[status(thm)],[])).
% 7.94/5.46 tff(2922,plain,
% 7.94/5.46 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB149, constB150)) | (v95(constB150) <=> (~((~v96(constB150)) | (~v1(constB150))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB149, constB150)) | (v95(constB150) <=> (~((~v1(constB150)) | (~v96(constB150)))))))),
% 7.94/5.46 inference(monotonicity,[status(thm)],[2921])).
% 7.94/5.46 tff(2923,plain,
% 7.94/5.46 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB149, constB150)) | (v95(constB150) <=> (~((~v96(constB150)) | (~v1(constB150))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB149, constB150)) | (v95(constB150) <=> (~((~v1(constB150)) | (~v96(constB150))))))),
% 7.94/5.46 inference(transitivity,[status(thm)],[2922, 2920])).
% 7.94/5.46 tff(2924,plain,
% 7.94/5.46 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB149, constB150)) | (v95(constB150) <=> (~((~v96(constB150)) | (~v1(constB150))))))),
% 7.94/5.46 inference(quant_inst,[status(thm)],[])).
% 7.94/5.46 tff(2925,plain,
% 7.94/5.46 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB149, constB150)) | (v95(constB150) <=> (~((~v1(constB150)) | (~v96(constB150)))))),
% 7.94/5.46 inference(modus_ponens,[status(thm)],[2924, 2923])).
% 7.94/5.46 tff(2926,plain,
% 7.94/5.46 (v95(constB150) <=> (~((~v1(constB150)) | (~v96(constB150))))),
% 7.94/5.46 inference(unit_resolution,[status(thm)],[2925, 2915, 795])).
% 7.94/5.46 tff(2927,plain,
% 7.94/5.46 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB149, constB150)) | ((~v96(constB150)) <=> v98(constB150)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB149, constB150)) | ((~v96(constB150)) <=> v98(constB150)))),
% 7.94/5.46 inference(rewrite,[status(thm)],[])).
% 7.94/5.46 tff(2928,plain,
% 7.94/5.46 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB149, constB150)) | ((~v96(constB150)) <=> v98(constB150)))),
% 7.94/5.46 inference(quant_inst,[status(thm)],[])).
% 7.94/5.46 tff(2929,plain,
% 7.94/5.46 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB149, constB150)) | ((~v96(constB150)) <=> v98(constB150))),
% 7.94/5.46 inference(modus_ponens,[status(thm)],[2928, 2927])).
% 7.94/5.46 tff(2930,plain,
% 7.94/5.46 ((~v96(constB150)) <=> v98(constB150)),
% 7.94/5.46 inference(unit_resolution,[status(thm)],[2929, 2915, 860])).
% 7.94/5.46 tff(2931,plain,
% 7.94/5.46 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB149, constB150)) | (v98(constB150) <=> v1(constB149)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB149, constB150)) | (v98(constB150) <=> v1(constB149)))),
% 7.94/5.46 inference(rewrite,[status(thm)],[])).
% 7.94/5.46 tff(2932,plain,
% 7.94/5.46 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB149, constB150)) | (v98(constB150) <=> v1(constB149)))),
% 7.94/5.46 inference(quant_inst,[status(thm)],[])).
% 7.94/5.46 tff(2933,plain,
% 7.94/5.46 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB149, constB150)) | (v98(constB150) <=> v1(constB149))),
% 7.94/5.46 inference(modus_ponens,[status(thm)],[2932, 2931])).
% 7.94/5.46 tff(2934,plain,
% 7.94/5.46 (v98(constB150) <=> v1(constB149)),
% 7.94/5.46 inference(unit_resolution,[status(thm)],[2933, 2915, 874])).
% 7.94/5.46 tff(2935,plain,
% 7.94/5.46 ((~v1(constB149)) <=> (~v1(constB149))),
% 7.94/5.46 inference(rewrite,[status(thm)],[])).
% 7.94/5.46 tff(2936,axiom,(~v1(constB149)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_149')).
% 7.94/5.46 tff(2937,plain,
% 7.94/5.46 (~v1(constB149)),
% 7.94/5.46 inference(modus_ponens,[status(thm)],[2936, 2935])).
% 7.94/5.46 tff(2938,plain,
% 7.94/5.46 ((~(v98(constB150) <=> v1(constB149))) | (~v98(constB150)) | v1(constB149)),
% 7.94/5.46 inference(tautology,[status(thm)],[])).
% 7.94/5.46 tff(2939,plain,
% 7.94/5.46 ((~(v98(constB150) <=> v1(constB149))) | (~v98(constB150))),
% 7.94/5.46 inference(unit_resolution,[status(thm)],[2938, 2937])).
% 7.94/5.46 tff(2940,plain,
% 7.94/5.46 (~v98(constB150)),
% 7.94/5.46 inference(unit_resolution,[status(thm)],[2939, 2934])).
% 7.94/5.46 tff(2941,plain,
% 7.94/5.46 ((~((~v96(constB150)) <=> v98(constB150))) | v96(constB150) | v98(constB150)),
% 7.94/5.46 inference(tautology,[status(thm)],[])).
% 7.94/5.46 tff(2942,plain,
% 7.94/5.46 (v96(constB150)),
% 7.94/5.46 inference(unit_resolution,[status(thm)],[2941, 2940, 2930])).
% 7.94/5.46 tff(2943,plain,
% 7.94/5.46 (v1(constB150) <=> v1(constB150)),
% 7.94/5.46 inference(rewrite,[status(thm)],[])).
% 7.94/5.46 tff(2944,axiom,(v1(constB150)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_150')).
% 7.94/5.46 tff(2945,plain,
% 7.94/5.46 (v1(constB150)),
% 7.94/5.46 inference(modus_ponens,[status(thm)],[2944, 2943])).
% 7.94/5.46 tff(2946,plain,
% 7.94/5.46 ((~((~v1(constB150)) | (~v96(constB150)))) | (~v1(constB150)) | (~v96(constB150))),
% 7.94/5.46 inference(tautology,[status(thm)],[])).
% 7.94/5.46 tff(2947,plain,
% 7.94/5.46 ((~((~v1(constB150)) | (~v96(constB150)))) | (~v96(constB150))),
% 7.94/5.46 inference(unit_resolution,[status(thm)],[2946, 2945])).
% 7.94/5.46 tff(2948,plain,
% 7.94/5.46 (~((~v1(constB150)) | (~v96(constB150)))),
% 7.94/5.46 inference(unit_resolution,[status(thm)],[2947, 2942])).
% 7.94/5.46 tff(2949,plain,
% 7.94/5.46 ((~(v95(constB150) <=> (~((~v1(constB150)) | (~v96(constB150)))))) | v95(constB150) | ((~v1(constB150)) | (~v96(constB150)))),
% 7.94/5.46 inference(tautology,[status(thm)],[])).
% 7.94/5.46 tff(2950,plain,
% 7.94/5.46 (v95(constB150)),
% 7.94/5.46 inference(unit_resolution,[status(thm)],[2949, 2948, 2926])).
% 7.94/5.46 tff(2951,plain,
% 7.94/5.46 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB149, constB150)) | (v104(constB150) <=> v102(constB149)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB149, constB150)) | (v104(constB150) <=> v102(constB149)))),
% 7.94/5.46 inference(rewrite,[status(thm)],[])).
% 7.94/5.46 tff(2952,plain,
% 7.94/5.46 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB149, constB150)) | (v104(constB150) <=> v102(constB149)))),
% 7.94/5.46 inference(quant_inst,[status(thm)],[])).
% 7.94/5.46 tff(2953,plain,
% 7.94/5.46 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB149, constB150)) | (v104(constB150) <=> v102(constB149))),
% 7.94/5.46 inference(modus_ponens,[status(thm)],[2952, 2951])).
% 7.94/5.46 tff(2954,plain,
% 7.94/5.46 (v104(constB150) <=> v102(constB149)),
% 7.94/5.46 inference(unit_resolution,[status(thm)],[2953, 2915, 904])).
% 7.94/5.46 tff(2955,plain,
% 7.94/5.46 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB149) <=> (v105(constB149) | v106(constB149)))),
% 7.94/5.46 inference(quant_inst,[status(thm)],[])).
% 7.94/5.46 tff(2956,plain,
% 7.94/5.46 (v102(constB149) <=> (v105(constB149) | v106(constB149))),
% 7.94/5.46 inference(unit_resolution,[status(thm)],[2955, 915])).
% 7.94/5.46 tff(2957,plain,
% 7.94/5.46 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB149) <=> (~((~v107(constB149)) | (~v120(constB149)))))),
% 7.94/5.46 inference(quant_inst,[status(thm)],[])).
% 7.94/5.46 tff(2958,plain,
% 7.94/5.46 (v106(constB149) <=> (~((~v107(constB149)) | (~v120(constB149))))),
% 7.94/5.46 inference(unit_resolution,[status(thm)],[2957, 927])).
% 7.94/5.46 tff(2959,plain,
% 7.94/5.46 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB149) <=> (v108(constB149) | v119(constB149)))),
% 7.94/5.46 inference(quant_inst,[status(thm)],[])).
% 7.94/5.46 tff(2960,plain,
% 7.94/5.46 (v107(constB149) <=> (v108(constB149) | v119(constB149))),
% 7.94/5.46 inference(unit_resolution,[status(thm)],[2959, 936])).
% 7.94/5.46 tff(2961,plain,
% 7.94/5.46 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB149) <=> (v109(constB149) | v118(constB149)))),
% 7.94/5.46 inference(quant_inst,[status(thm)],[])).
% 7.94/5.46 tff(2962,plain,
% 7.94/5.46 (v108(constB149) <=> (v109(constB149) | v118(constB149))),
% 7.94/5.46 inference(unit_resolution,[status(thm)],[2961, 945])).
% 7.94/5.46 tff(2963,plain,
% 7.94/5.46 ((~![VarCurr: $i] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB149) <=> (v110(constB149) | v117(constB149)))),
% 7.94/5.46 inference(quant_inst,[status(thm)],[])).
% 7.94/5.46 tff(2964,plain,
% 7.94/5.46 (v109(constB149) <=> (v110(constB149) | v117(constB149))),
% 7.94/5.46 inference(unit_resolution,[status(thm)],[2963, 1056])).
% 7.94/5.46 tff(2965,plain,
% 7.94/5.46 ((~![VarCurr: $i] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB149) <=> (v111(constB149) | v116(constB149)))),
% 7.94/5.46 inference(quant_inst,[status(thm)],[])).
% 7.94/5.46 tff(2966,plain,
% 7.94/5.46 (v110(constB149) <=> (v111(constB149) | v116(constB149))),
% 7.94/5.46 inference(unit_resolution,[status(thm)],[2965, 1169])).
% 7.94/5.46 tff(2967,plain,
% 7.94/5.46 ((~![VarCurr: $i] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB149) <=> (v112(constB149) | v115(constB149)))),
% 7.94/5.46 inference(quant_inst,[status(thm)],[])).
% 7.94/5.46 tff(2968,plain,
% 7.94/5.46 (v111(constB149) <=> (v112(constB149) | v115(constB149))),
% 7.94/5.46 inference(unit_resolution,[status(thm)],[2967, 1279])).
% 7.94/5.46 tff(2969,plain,
% 7.94/5.46 (((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB149) <=> (~(v84(constB149, bitIndex2) | (~v84(constB149, bitIndex1)) | v84(constB149, bitIndex0))))) <=> ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB149) <=> (~(v84(constB149, bitIndex2) | (~v84(constB149, bitIndex1)) | v84(constB149, bitIndex0)))))),
% 7.94/5.46 inference(rewrite,[status(thm)],[])).
% 7.94/5.46 tff(2970,plain,
% 7.94/5.46 ((v115(constB149) <=> (~(v84(constB149, bitIndex0) | v84(constB149, bitIndex2) | (~v84(constB149, bitIndex1))))) <=> (v115(constB149) <=> (~(v84(constB149, bitIndex2) | (~v84(constB149, bitIndex1)) | v84(constB149, bitIndex0))))),
% 7.94/5.46 inference(rewrite,[status(thm)],[])).
% 7.94/5.46 tff(2971,plain,
% 7.94/5.46 (((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB149) <=> (~(v84(constB149, bitIndex0) | v84(constB149, bitIndex2) | (~v84(constB149, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB149) <=> (~(v84(constB149, bitIndex2) | (~v84(constB149, bitIndex1)) | v84(constB149, bitIndex0)))))),
% 7.94/5.46 inference(monotonicity,[status(thm)],[2970])).
% 7.94/5.46 tff(2972,plain,
% 7.94/5.46 (((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB149) <=> (~(v84(constB149, bitIndex0) | v84(constB149, bitIndex2) | (~v84(constB149, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB149) <=> (~(v84(constB149, bitIndex2) | (~v84(constB149, bitIndex1)) | v84(constB149, bitIndex0)))))),
% 7.94/5.46 inference(transitivity,[status(thm)],[2971, 2969])).
% 7.94/5.46 tff(2973,plain,
% 7.94/5.46 ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB149) <=> (~(v84(constB149, bitIndex0) | v84(constB149, bitIndex2) | (~v84(constB149, bitIndex1)))))),
% 7.94/5.46 inference(quant_inst,[status(thm)],[])).
% 7.94/5.46 tff(2974,plain,
% 7.94/5.46 ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB149) <=> (~(v84(constB149, bitIndex2) | (~v84(constB149, bitIndex1)) | v84(constB149, bitIndex0))))),
% 7.94/5.46 inference(modus_ponens,[status(thm)],[2973, 2972])).
% 7.94/5.46 tff(2975,plain,
% 7.94/5.46 (v115(constB149) <=> (~(v84(constB149, bitIndex2) | (~v84(constB149, bitIndex1)) | v84(constB149, bitIndex0)))),
% 7.94/5.46 inference(unit_resolution,[status(thm)],[2974, 1294])).
% 7.94/5.46 tff(2976,plain,
% 7.94/5.46 (nextState(constB148, constB149) <=> nextState(constB148, constB149)),
% 7.94/5.46 inference(rewrite,[status(thm)],[])).
% 7.94/5.46 tff(2977,axiom,(nextState(constB148, constB149)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_148')).
% 7.94/5.46 tff(2978,plain,
% 7.94/5.46 (nextState(constB148, constB149)),
% 7.94/5.46 inference(modus_ponens,[status(thm)],[2977, 2976])).
% 7.94/5.46 tff(2979,plain,
% 7.94/5.46 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB148, constB149)) | (v94(constB149) <=> (~((~v104(constB149)) | (~v95(constB149))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB148, constB149)) | (v94(constB149) <=> (~((~v104(constB149)) | (~v95(constB149))))))),
% 7.94/5.46 inference(rewrite,[status(thm)],[])).
% 7.94/5.46 tff(2980,plain,
% 7.94/5.46 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB148, constB149)) | (v94(constB149) <=> (~((~v104(constB149)) | (~v95(constB149))))))),
% 7.94/5.46 inference(quant_inst,[status(thm)],[])).
% 7.94/5.46 tff(2981,plain,
% 7.94/5.46 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB148, constB149)) | (v94(constB149) <=> (~((~v104(constB149)) | (~v95(constB149)))))),
% 7.94/5.46 inference(modus_ponens,[status(thm)],[2980, 2979])).
% 7.94/5.46 tff(2982,plain,
% 7.94/5.46 (v94(constB149) <=> (~((~v104(constB149)) | (~v95(constB149))))),
% 7.94/5.46 inference(unit_resolution,[status(thm)],[2981, 2978, 775])).
% 7.94/5.46 tff(2983,plain,
% 7.94/5.46 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB148, constB149)) | (v95(constB149) <=> (~((~v1(constB149)) | (~v96(constB149))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB148, constB149)) | (v95(constB149) <=> (~((~v1(constB149)) | (~v96(constB149))))))),
% 7.94/5.46 inference(rewrite,[status(thm)],[])).
% 7.94/5.46 tff(2984,plain,
% 7.94/5.46 (((~nextState(constB148, constB149)) | (v95(constB149) <=> (~((~v96(constB149)) | (~v1(constB149)))))) <=> ((~nextState(constB148, constB149)) | (v95(constB149) <=> (~((~v1(constB149)) | (~v96(constB149))))))),
% 7.94/5.46 inference(rewrite,[status(thm)],[])).
% 7.94/5.46 tff(2985,plain,
% 7.94/5.46 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB148, constB149)) | (v95(constB149) <=> (~((~v96(constB149)) | (~v1(constB149))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB148, constB149)) | (v95(constB149) <=> (~((~v1(constB149)) | (~v96(constB149)))))))),
% 7.94/5.46 inference(monotonicity,[status(thm)],[2984])).
% 7.94/5.46 tff(2986,plain,
% 7.94/5.46 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB148, constB149)) | (v95(constB149) <=> (~((~v96(constB149)) | (~v1(constB149))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB148, constB149)) | (v95(constB149) <=> (~((~v1(constB149)) | (~v96(constB149))))))),
% 7.94/5.46 inference(transitivity,[status(thm)],[2985, 2983])).
% 7.94/5.46 tff(2987,plain,
% 7.94/5.46 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB148, constB149)) | (v95(constB149) <=> (~((~v96(constB149)) | (~v1(constB149))))))),
% 7.94/5.46 inference(quant_inst,[status(thm)],[])).
% 7.94/5.46 tff(2988,plain,
% 7.94/5.46 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB148, constB149)) | (v95(constB149) <=> (~((~v1(constB149)) | (~v96(constB149)))))),
% 7.94/5.46 inference(modus_ponens,[status(thm)],[2987, 2986])).
% 7.94/5.46 tff(2989,plain,
% 7.94/5.46 (v95(constB149) <=> (~((~v1(constB149)) | (~v96(constB149))))),
% 7.94/5.46 inference(unit_resolution,[status(thm)],[2988, 2978, 795])).
% 7.94/5.46 tff(2990,plain,
% 7.94/5.46 (((~v1(constB149)) | (~v96(constB149))) | v1(constB149)),
% 7.94/5.46 inference(tautology,[status(thm)],[])).
% 7.94/5.46 tff(2991,plain,
% 7.94/5.46 ((~v1(constB149)) | (~v96(constB149))),
% 7.94/5.46 inference(unit_resolution,[status(thm)],[2990, 2937])).
% 7.94/5.46 tff(2992,plain,
% 7.94/5.46 ((~(v95(constB149) <=> (~((~v1(constB149)) | (~v96(constB149)))))) | (~v95(constB149)) | (~((~v1(constB149)) | (~v96(constB149))))),
% 7.94/5.46 inference(tautology,[status(thm)],[])).
% 7.94/5.46 tff(2993,plain,
% 7.94/5.46 ((~(v95(constB149) <=> (~((~v1(constB149)) | (~v96(constB149)))))) | (~v95(constB149))),
% 7.94/5.46 inference(unit_resolution,[status(thm)],[2992, 2991])).
% 7.94/5.46 tff(2994,plain,
% 7.94/5.46 (~v95(constB149)),
% 7.94/5.46 inference(unit_resolution,[status(thm)],[2993, 2989])).
% 7.94/5.46 tff(2995,plain,
% 7.94/5.46 (((~v104(constB149)) | (~v95(constB149))) | v95(constB149)),
% 7.94/5.46 inference(tautology,[status(thm)],[])).
% 7.94/5.46 tff(2996,plain,
% 7.94/5.46 ((~v104(constB149)) | (~v95(constB149))),
% 7.94/5.46 inference(unit_resolution,[status(thm)],[2995, 2994])).
% 7.94/5.46 tff(2997,plain,
% 7.94/5.46 ((~(v94(constB149) <=> (~((~v104(constB149)) | (~v95(constB149)))))) | (~v94(constB149)) | (~((~v104(constB149)) | (~v95(constB149))))),
% 7.94/5.46 inference(tautology,[status(thm)],[])).
% 7.94/5.46 tff(2998,plain,
% 7.94/5.46 (~v94(constB149)),
% 7.94/5.46 inference(unit_resolution,[status(thm)],[2997, 2996, 2982])).
% 7.94/5.46 tff(2999,plain,
% 7.94/5.46 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB149) | (~nextState(constB148, constB149)) | ![B: $i] : ((~less_3(B)) | (v84(constB149, B) <=> v84(constB148, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB149) | (~nextState(constB148, constB149)) | ![B: $i] : ((~less_3(B)) | (v84(constB149, B) <=> v84(constB148, B))))),
% 7.94/5.46 inference(rewrite,[status(thm)],[])).
% 7.94/5.46 tff(3000,plain,
% 7.94/5.46 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB149) | (~nextState(constB148, constB149)) | ![B: $i] : ((~less_3(B)) | (v84(constB149, B) <=> v84(constB148, B))))),
% 7.94/5.46 inference(quant_inst,[status(thm)],[])).
% 7.94/5.46 tff(3001,plain,
% 7.94/5.46 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB149) | (~nextState(constB148, constB149)) | ![B: $i] : ((~less_3(B)) | (v84(constB149, B) <=> v84(constB148, B)))),
% 7.94/5.46 inference(modus_ponens,[status(thm)],[3000, 2999])).
% 7.94/5.46 tff(3002,plain,
% 7.94/5.46 (v94(constB149) | ![B: $i] : ((~less_3(B)) | (v84(constB149, B) <=> v84(constB148, B)))),
% 7.94/5.46 inference(unit_resolution,[status(thm)],[3001, 2978, 824])).
% 7.94/5.46 tff(3003,plain,
% 7.94/5.46 (![B: $i] : ((~less_3(B)) | (v84(constB149, B) <=> v84(constB148, B)))),
% 7.94/5.46 inference(unit_resolution,[status(thm)],[3002, 2998])).
% 7.94/5.46 tff(3004,plain,
% 7.94/5.46 (((~![B: $i] : ((~less_3(B)) | (v84(constB149, B) <=> v84(constB148, B)))) | ((~less_3(bitIndex2)) | (v84(constB149, bitIndex2) <=> v84(constB148, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB149, B) <=> v84(constB148, B)))) | (~less_3(bitIndex2)) | (v84(constB149, bitIndex2) <=> v84(constB148, bitIndex2)))),
% 7.94/5.46 inference(rewrite,[status(thm)],[])).
% 7.94/5.46 tff(3005,plain,
% 7.94/5.46 ((~![B: $i] : ((~less_3(B)) | (v84(constB149, B) <=> v84(constB148, B)))) | ((~less_3(bitIndex2)) | (v84(constB149, bitIndex2) <=> v84(constB148, bitIndex2)))),
% 7.94/5.46 inference(quant_inst,[status(thm)],[])).
% 7.94/5.46 tff(3006,plain,
% 7.94/5.46 ((~![B: $i] : ((~less_3(B)) | (v84(constB149, B) <=> v84(constB148, B)))) | (~less_3(bitIndex2)) | (v84(constB149, bitIndex2) <=> v84(constB148, bitIndex2))),
% 7.94/5.46 inference(modus_ponens,[status(thm)],[3005, 3004])).
% 7.94/5.46 tff(3007,plain,
% 7.94/5.46 (v84(constB149, bitIndex2) <=> v84(constB148, bitIndex2)),
% 7.94/5.46 inference(unit_resolution,[status(thm)],[3006, 832, 3003])).
% 7.94/5.46 tff(3008,plain,
% 7.94/5.46 (nextState(constB147, constB148) <=> nextState(constB147, constB148)),
% 7.94/5.46 inference(rewrite,[status(thm)],[])).
% 7.94/5.46 tff(3009,axiom,(nextState(constB147, constB148)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_147')).
% 7.94/5.46 tff(3010,plain,
% 7.94/5.46 (nextState(constB147, constB148)),
% 7.94/5.46 inference(modus_ponens,[status(thm)],[3009, 3008])).
% 7.94/5.46 tff(3011,plain,
% 7.94/5.46 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB147, constB148)) | (v94(constB148) <=> (~((~v104(constB148)) | (~v95(constB148))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB147, constB148)) | (v94(constB148) <=> (~((~v104(constB148)) | (~v95(constB148))))))),
% 7.94/5.46 inference(rewrite,[status(thm)],[])).
% 7.94/5.46 tff(3012,plain,
% 7.94/5.46 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB147, constB148)) | (v94(constB148) <=> (~((~v104(constB148)) | (~v95(constB148))))))),
% 7.94/5.46 inference(quant_inst,[status(thm)],[])).
% 7.94/5.46 tff(3013,plain,
% 7.94/5.46 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB147, constB148)) | (v94(constB148) <=> (~((~v104(constB148)) | (~v95(constB148)))))),
% 7.94/5.46 inference(modus_ponens,[status(thm)],[3012, 3011])).
% 7.94/5.46 tff(3014,plain,
% 7.94/5.46 (v94(constB148) <=> (~((~v104(constB148)) | (~v95(constB148))))),
% 7.94/5.46 inference(unit_resolution,[status(thm)],[3013, 3010, 775])).
% 7.94/5.46 tff(3015,plain,
% 7.94/5.46 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB147, constB148)) | (v95(constB148) <=> (~((~v1(constB148)) | (~v96(constB148))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB147, constB148)) | (v95(constB148) <=> (~((~v1(constB148)) | (~v96(constB148))))))),
% 7.94/5.47 inference(rewrite,[status(thm)],[])).
% 7.94/5.47 tff(3016,plain,
% 7.94/5.47 (((~nextState(constB147, constB148)) | (v95(constB148) <=> (~((~v96(constB148)) | (~v1(constB148)))))) <=> ((~nextState(constB147, constB148)) | (v95(constB148) <=> (~((~v1(constB148)) | (~v96(constB148))))))),
% 7.94/5.47 inference(rewrite,[status(thm)],[])).
% 7.94/5.47 tff(3017,plain,
% 7.94/5.47 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB147, constB148)) | (v95(constB148) <=> (~((~v96(constB148)) | (~v1(constB148))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB147, constB148)) | (v95(constB148) <=> (~((~v1(constB148)) | (~v96(constB148)))))))),
% 7.94/5.47 inference(monotonicity,[status(thm)],[3016])).
% 7.94/5.47 tff(3018,plain,
% 7.94/5.47 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB147, constB148)) | (v95(constB148) <=> (~((~v96(constB148)) | (~v1(constB148))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB147, constB148)) | (v95(constB148) <=> (~((~v1(constB148)) | (~v96(constB148))))))),
% 7.94/5.47 inference(transitivity,[status(thm)],[3017, 3015])).
% 7.94/5.47 tff(3019,plain,
% 7.94/5.47 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB147, constB148)) | (v95(constB148) <=> (~((~v96(constB148)) | (~v1(constB148))))))),
% 7.94/5.47 inference(quant_inst,[status(thm)],[])).
% 7.94/5.47 tff(3020,plain,
% 7.94/5.47 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB147, constB148)) | (v95(constB148) <=> (~((~v1(constB148)) | (~v96(constB148)))))),
% 7.94/5.47 inference(modus_ponens,[status(thm)],[3019, 3018])).
% 7.94/5.47 tff(3021,plain,
% 7.94/5.47 (v95(constB148) <=> (~((~v1(constB148)) | (~v96(constB148))))),
% 7.94/5.47 inference(unit_resolution,[status(thm)],[3020, 3010, 795])).
% 7.94/5.47 tff(3022,plain,
% 7.94/5.47 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB147, constB148)) | ((~v96(constB148)) <=> v98(constB148)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB147, constB148)) | ((~v96(constB148)) <=> v98(constB148)))),
% 7.94/5.47 inference(rewrite,[status(thm)],[])).
% 7.94/5.47 tff(3023,plain,
% 7.94/5.47 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB147, constB148)) | ((~v96(constB148)) <=> v98(constB148)))),
% 7.94/5.47 inference(quant_inst,[status(thm)],[])).
% 7.94/5.47 tff(3024,plain,
% 7.94/5.47 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB147, constB148)) | ((~v96(constB148)) <=> v98(constB148))),
% 7.94/5.47 inference(modus_ponens,[status(thm)],[3023, 3022])).
% 7.94/5.47 tff(3025,plain,
% 7.94/5.47 ((~v96(constB148)) <=> v98(constB148)),
% 7.94/5.47 inference(unit_resolution,[status(thm)],[3024, 3010, 860])).
% 7.94/5.47 tff(3026,plain,
% 7.94/5.47 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB147, constB148)) | (v98(constB148) <=> v1(constB147)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB147, constB148)) | (v98(constB148) <=> v1(constB147)))),
% 7.94/5.47 inference(rewrite,[status(thm)],[])).
% 7.94/5.47 tff(3027,plain,
% 7.94/5.47 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB147, constB148)) | (v98(constB148) <=> v1(constB147)))),
% 7.94/5.47 inference(quant_inst,[status(thm)],[])).
% 7.94/5.47 tff(3028,plain,
% 7.94/5.47 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB147, constB148)) | (v98(constB148) <=> v1(constB147))),
% 7.94/5.47 inference(modus_ponens,[status(thm)],[3027, 3026])).
% 7.94/5.47 tff(3029,plain,
% 7.94/5.47 (v98(constB148) <=> v1(constB147)),
% 7.94/5.47 inference(unit_resolution,[status(thm)],[3028, 3010, 874])).
% 7.94/5.47 tff(3030,plain,
% 7.94/5.47 ((~v1(constB147)) <=> (~v1(constB147))),
% 7.94/5.47 inference(rewrite,[status(thm)],[])).
% 7.94/5.47 tff(3031,axiom,(~v1(constB147)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_147')).
% 7.94/5.47 tff(3032,plain,
% 7.94/5.47 (~v1(constB147)),
% 7.94/5.47 inference(modus_ponens,[status(thm)],[3031, 3030])).
% 7.94/5.47 tff(3033,plain,
% 7.94/5.47 ((~(v98(constB148) <=> v1(constB147))) | (~v98(constB148)) | v1(constB147)),
% 7.94/5.47 inference(tautology,[status(thm)],[])).
% 7.94/5.47 tff(3034,plain,
% 7.94/5.47 ((~(v98(constB148) <=> v1(constB147))) | (~v98(constB148))),
% 7.94/5.47 inference(unit_resolution,[status(thm)],[3033, 3032])).
% 7.94/5.47 tff(3035,plain,
% 7.94/5.47 (~v98(constB148)),
% 7.94/5.47 inference(unit_resolution,[status(thm)],[3034, 3029])).
% 7.94/5.47 tff(3036,plain,
% 7.94/5.47 ((~((~v96(constB148)) <=> v98(constB148))) | v96(constB148) | v98(constB148)),
% 7.94/5.47 inference(tautology,[status(thm)],[])).
% 7.94/5.47 tff(3037,plain,
% 7.94/5.47 (v96(constB148)),
% 7.94/5.47 inference(unit_resolution,[status(thm)],[3036, 3035, 3025])).
% 7.94/5.47 tff(3038,plain,
% 7.94/5.47 (v1(constB148) <=> v1(constB148)),
% 7.94/5.47 inference(rewrite,[status(thm)],[])).
% 7.94/5.47 tff(3039,axiom,(v1(constB148)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_148')).
% 7.94/5.47 tff(3040,plain,
% 7.94/5.47 (v1(constB148)),
% 7.94/5.47 inference(modus_ponens,[status(thm)],[3039, 3038])).
% 7.94/5.47 tff(3041,plain,
% 7.94/5.47 ((~((~v1(constB148)) | (~v96(constB148)))) | (~v1(constB148)) | (~v96(constB148))),
% 7.94/5.47 inference(tautology,[status(thm)],[])).
% 7.94/5.47 tff(3042,plain,
% 7.94/5.47 ((~((~v1(constB148)) | (~v96(constB148)))) | (~v96(constB148))),
% 7.94/5.47 inference(unit_resolution,[status(thm)],[3041, 3040])).
% 7.94/5.47 tff(3043,plain,
% 7.94/5.47 (~((~v1(constB148)) | (~v96(constB148)))),
% 7.94/5.47 inference(unit_resolution,[status(thm)],[3042, 3037])).
% 7.94/5.47 tff(3044,plain,
% 7.94/5.47 ((~(v95(constB148) <=> (~((~v1(constB148)) | (~v96(constB148)))))) | v95(constB148) | ((~v1(constB148)) | (~v96(constB148)))),
% 7.94/5.47 inference(tautology,[status(thm)],[])).
% 7.94/5.47 tff(3045,plain,
% 7.94/5.47 (v95(constB148)),
% 7.94/5.47 inference(unit_resolution,[status(thm)],[3044, 3043, 3021])).
% 7.94/5.47 tff(3046,plain,
% 7.94/5.47 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB147, constB148)) | (v104(constB148) <=> v102(constB147)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB147, constB148)) | (v104(constB148) <=> v102(constB147)))),
% 7.94/5.47 inference(rewrite,[status(thm)],[])).
% 7.94/5.47 tff(3047,plain,
% 7.94/5.47 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB147, constB148)) | (v104(constB148) <=> v102(constB147)))),
% 7.94/5.47 inference(quant_inst,[status(thm)],[])).
% 7.94/5.47 tff(3048,plain,
% 7.94/5.47 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB147, constB148)) | (v104(constB148) <=> v102(constB147))),
% 7.94/5.47 inference(modus_ponens,[status(thm)],[3047, 3046])).
% 7.94/5.47 tff(3049,plain,
% 7.94/5.47 (v104(constB148) <=> v102(constB147)),
% 7.94/5.47 inference(unit_resolution,[status(thm)],[3048, 3010, 904])).
% 7.94/5.47 tff(3050,plain,
% 7.94/5.47 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB147) <=> (v105(constB147) | v106(constB147)))),
% 7.94/5.47 inference(quant_inst,[status(thm)],[])).
% 7.94/5.47 tff(3051,plain,
% 7.94/5.47 (v102(constB147) <=> (v105(constB147) | v106(constB147))),
% 7.94/5.47 inference(unit_resolution,[status(thm)],[3050, 915])).
% 7.94/5.47 tff(3052,plain,
% 7.94/5.47 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB147) <=> (~((~v107(constB147)) | (~v120(constB147)))))),
% 7.94/5.47 inference(quant_inst,[status(thm)],[])).
% 7.94/5.47 tff(3053,plain,
% 7.94/5.47 (v106(constB147) <=> (~((~v107(constB147)) | (~v120(constB147))))),
% 7.94/5.47 inference(unit_resolution,[status(thm)],[3052, 927])).
% 7.94/5.47 tff(3054,plain,
% 7.94/5.47 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB147) <=> (v108(constB147) | v119(constB147)))),
% 7.94/5.47 inference(quant_inst,[status(thm)],[])).
% 7.94/5.47 tff(3055,plain,
% 7.94/5.47 (v107(constB147) <=> (v108(constB147) | v119(constB147))),
% 7.94/5.47 inference(unit_resolution,[status(thm)],[3054, 936])).
% 7.94/5.47 tff(3056,plain,
% 7.94/5.47 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB147) <=> (v109(constB147) | v118(constB147)))),
% 7.94/5.47 inference(quant_inst,[status(thm)],[])).
% 7.94/5.47 tff(3057,plain,
% 7.94/5.47 (v108(constB147) <=> (v109(constB147) | v118(constB147))),
% 7.94/5.47 inference(unit_resolution,[status(thm)],[3056, 945])).
% 7.94/5.47 tff(3058,plain,
% 7.94/5.47 ((~![VarCurr: $i] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB147) <=> (v110(constB147) | v117(constB147)))),
% 7.94/5.47 inference(quant_inst,[status(thm)],[])).
% 7.94/5.47 tff(3059,plain,
% 7.94/5.47 (v109(constB147) <=> (v110(constB147) | v117(constB147))),
% 7.94/5.47 inference(unit_resolution,[status(thm)],[3058, 1056])).
% 7.94/5.47 tff(3060,plain,
% 7.94/5.47 ((~![VarCurr: $i] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB147) <=> (v111(constB147) | v116(constB147)))),
% 7.94/5.47 inference(quant_inst,[status(thm)],[])).
% 7.94/5.47 tff(3061,plain,
% 7.94/5.47 (v110(constB147) <=> (v111(constB147) | v116(constB147))),
% 7.94/5.47 inference(unit_resolution,[status(thm)],[3060, 1169])).
% 7.94/5.47 tff(3062,plain,
% 7.94/5.47 ((~![VarCurr: $i] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB147) <=> (v112(constB147) | v115(constB147)))),
% 7.94/5.47 inference(quant_inst,[status(thm)],[])).
% 7.94/5.47 tff(3063,plain,
% 7.94/5.47 (v111(constB147) <=> (v112(constB147) | v115(constB147))),
% 7.94/5.47 inference(unit_resolution,[status(thm)],[3062, 1279])).
% 7.94/5.47 tff(3064,plain,
% 7.94/5.47 ((~![VarCurr: $i] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))) | (v112(constB147) <=> (v113(constB147) | v114(constB147)))),
% 7.94/5.47 inference(quant_inst,[status(thm)],[])).
% 7.94/5.47 tff(3065,plain,
% 7.94/5.47 (v112(constB147) <=> (v113(constB147) | v114(constB147))),
% 7.94/5.47 inference(unit_resolution,[status(thm)],[3064, 1396])).
% 7.94/5.47 tff(3066,plain,
% 7.94/5.47 (((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB147) <=> (~(v84(constB147, bitIndex2) | v84(constB147, bitIndex1) | (~v84(constB147, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB147) <=> (~(v84(constB147, bitIndex2) | v84(constB147, bitIndex1) | (~v84(constB147, bitIndex0))))))),
% 7.94/5.47 inference(rewrite,[status(thm)],[])).
% 7.94/5.47 tff(3067,plain,
% 7.94/5.47 ((v114(constB147) <=> (~(v84(constB147, bitIndex1) | v84(constB147, bitIndex2) | (~v84(constB147, bitIndex0))))) <=> (v114(constB147) <=> (~(v84(constB147, bitIndex2) | v84(constB147, bitIndex1) | (~v84(constB147, bitIndex0)))))),
% 7.94/5.47 inference(rewrite,[status(thm)],[])).
% 7.94/5.47 tff(3068,plain,
% 7.94/5.47 (((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB147) <=> (~(v84(constB147, bitIndex1) | v84(constB147, bitIndex2) | (~v84(constB147, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB147) <=> (~(v84(constB147, bitIndex2) | v84(constB147, bitIndex1) | (~v84(constB147, bitIndex0))))))),
% 7.94/5.47 inference(monotonicity,[status(thm)],[3067])).
% 7.94/5.47 tff(3069,plain,
% 7.94/5.47 (((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB147) <=> (~(v84(constB147, bitIndex1) | v84(constB147, bitIndex2) | (~v84(constB147, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB147) <=> (~(v84(constB147, bitIndex2) | v84(constB147, bitIndex1) | (~v84(constB147, bitIndex0))))))),
% 7.94/5.47 inference(transitivity,[status(thm)],[3068, 3066])).
% 7.94/5.47 tff(3070,plain,
% 7.94/5.47 ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB147) <=> (~(v84(constB147, bitIndex1) | v84(constB147, bitIndex2) | (~v84(constB147, bitIndex0)))))),
% 7.94/5.47 inference(quant_inst,[status(thm)],[])).
% 7.94/5.47 tff(3071,plain,
% 7.94/5.47 ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB147) <=> (~(v84(constB147, bitIndex2) | v84(constB147, bitIndex1) | (~v84(constB147, bitIndex0)))))),
% 7.94/5.47 inference(modus_ponens,[status(thm)],[3070, 3069])).
% 7.94/5.47 tff(3072,plain,
% 7.94/5.47 (v114(constB147) <=> (~(v84(constB147, bitIndex2) | v84(constB147, bitIndex1) | (~v84(constB147, bitIndex0))))),
% 7.94/5.47 inference(unit_resolution,[status(thm)],[3071, 1411])).
% 7.94/5.47 tff(3073,plain,
% 7.94/5.47 (nextState(constB146, constB147) <=> nextState(constB146, constB147)),
% 7.94/5.47 inference(rewrite,[status(thm)],[])).
% 7.94/5.47 tff(3074,axiom,(nextState(constB146, constB147)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_146')).
% 7.94/5.47 tff(3075,plain,
% 7.94/5.47 (nextState(constB146, constB147)),
% 7.94/5.47 inference(modus_ponens,[status(thm)],[3074, 3073])).
% 7.94/5.47 tff(3076,plain,
% 7.94/5.47 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB146, constB147)) | (v94(constB147) <=> (~((~v104(constB147)) | (~v95(constB147))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB146, constB147)) | (v94(constB147) <=> (~((~v104(constB147)) | (~v95(constB147))))))),
% 7.94/5.47 inference(rewrite,[status(thm)],[])).
% 7.94/5.47 tff(3077,plain,
% 7.94/5.47 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB146, constB147)) | (v94(constB147) <=> (~((~v104(constB147)) | (~v95(constB147))))))),
% 7.94/5.47 inference(quant_inst,[status(thm)],[])).
% 7.94/5.47 tff(3078,plain,
% 7.94/5.47 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB146, constB147)) | (v94(constB147) <=> (~((~v104(constB147)) | (~v95(constB147)))))),
% 7.94/5.47 inference(modus_ponens,[status(thm)],[3077, 3076])).
% 7.94/5.47 tff(3079,plain,
% 7.94/5.47 (v94(constB147) <=> (~((~v104(constB147)) | (~v95(constB147))))),
% 7.94/5.47 inference(unit_resolution,[status(thm)],[3078, 3075, 775])).
% 7.94/5.47 tff(3080,plain,
% 7.94/5.47 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB146, constB147)) | (v95(constB147) <=> (~((~v1(constB147)) | (~v96(constB147))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB146, constB147)) | (v95(constB147) <=> (~((~v1(constB147)) | (~v96(constB147))))))),
% 7.94/5.47 inference(rewrite,[status(thm)],[])).
% 7.94/5.47 tff(3081,plain,
% 7.94/5.47 (((~nextState(constB146, constB147)) | (v95(constB147) <=> (~((~v96(constB147)) | (~v1(constB147)))))) <=> ((~nextState(constB146, constB147)) | (v95(constB147) <=> (~((~v1(constB147)) | (~v96(constB147))))))),
% 7.94/5.47 inference(rewrite,[status(thm)],[])).
% 7.94/5.47 tff(3082,plain,
% 7.94/5.47 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB146, constB147)) | (v95(constB147) <=> (~((~v96(constB147)) | (~v1(constB147))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB146, constB147)) | (v95(constB147) <=> (~((~v1(constB147)) | (~v96(constB147)))))))),
% 7.94/5.47 inference(monotonicity,[status(thm)],[3081])).
% 7.94/5.47 tff(3083,plain,
% 7.94/5.47 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB146, constB147)) | (v95(constB147) <=> (~((~v96(constB147)) | (~v1(constB147))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB146, constB147)) | (v95(constB147) <=> (~((~v1(constB147)) | (~v96(constB147))))))),
% 7.94/5.47 inference(transitivity,[status(thm)],[3082, 3080])).
% 7.94/5.47 tff(3084,plain,
% 7.94/5.47 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB146, constB147)) | (v95(constB147) <=> (~((~v96(constB147)) | (~v1(constB147))))))),
% 7.94/5.47 inference(quant_inst,[status(thm)],[])).
% 7.94/5.47 tff(3085,plain,
% 7.94/5.47 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB146, constB147)) | (v95(constB147) <=> (~((~v1(constB147)) | (~v96(constB147)))))),
% 7.94/5.47 inference(modus_ponens,[status(thm)],[3084, 3083])).
% 7.94/5.47 tff(3086,plain,
% 7.94/5.47 (v95(constB147) <=> (~((~v1(constB147)) | (~v96(constB147))))),
% 7.94/5.47 inference(unit_resolution,[status(thm)],[3085, 3075, 795])).
% 7.94/5.47 tff(3087,plain,
% 7.94/5.47 (((~v1(constB147)) | (~v96(constB147))) | v1(constB147)),
% 7.94/5.47 inference(tautology,[status(thm)],[])).
% 7.94/5.47 tff(3088,plain,
% 7.94/5.47 ((~v1(constB147)) | (~v96(constB147))),
% 7.94/5.47 inference(unit_resolution,[status(thm)],[3087, 3032])).
% 7.94/5.47 tff(3089,plain,
% 7.94/5.47 ((~(v95(constB147) <=> (~((~v1(constB147)) | (~v96(constB147)))))) | (~v95(constB147)) | (~((~v1(constB147)) | (~v96(constB147))))),
% 7.94/5.47 inference(tautology,[status(thm)],[])).
% 7.94/5.47 tff(3090,plain,
% 7.94/5.47 ((~(v95(constB147) <=> (~((~v1(constB147)) | (~v96(constB147)))))) | (~v95(constB147))),
% 7.94/5.47 inference(unit_resolution,[status(thm)],[3089, 3088])).
% 7.94/5.47 tff(3091,plain,
% 7.94/5.47 (~v95(constB147)),
% 7.94/5.47 inference(unit_resolution,[status(thm)],[3090, 3086])).
% 7.94/5.47 tff(3092,plain,
% 7.94/5.47 (((~v104(constB147)) | (~v95(constB147))) | v95(constB147)),
% 7.94/5.47 inference(tautology,[status(thm)],[])).
% 7.94/5.47 tff(3093,plain,
% 7.94/5.47 ((~v104(constB147)) | (~v95(constB147))),
% 7.94/5.47 inference(unit_resolution,[status(thm)],[3092, 3091])).
% 7.94/5.47 tff(3094,plain,
% 7.94/5.47 ((~(v94(constB147) <=> (~((~v104(constB147)) | (~v95(constB147)))))) | (~v94(constB147)) | (~((~v104(constB147)) | (~v95(constB147))))),
% 7.94/5.47 inference(tautology,[status(thm)],[])).
% 7.94/5.47 tff(3095,plain,
% 7.94/5.47 (~v94(constB147)),
% 7.94/5.47 inference(unit_resolution,[status(thm)],[3094, 3093, 3079])).
% 7.94/5.47 tff(3096,plain,
% 7.94/5.47 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB147) | (~nextState(constB146, constB147)) | ![B: $i] : ((~less_3(B)) | (v84(constB147, B) <=> v84(constB146, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB147) | (~nextState(constB146, constB147)) | ![B: $i] : ((~less_3(B)) | (v84(constB147, B) <=> v84(constB146, B))))),
% 7.94/5.47 inference(rewrite,[status(thm)],[])).
% 7.94/5.47 tff(3097,plain,
% 7.94/5.47 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB147) | (~nextState(constB146, constB147)) | ![B: $i] : ((~less_3(B)) | (v84(constB147, B) <=> v84(constB146, B))))),
% 7.94/5.47 inference(quant_inst,[status(thm)],[])).
% 7.94/5.47 tff(3098,plain,
% 7.94/5.47 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB147) | (~nextState(constB146, constB147)) | ![B: $i] : ((~less_3(B)) | (v84(constB147, B) <=> v84(constB146, B)))),
% 7.94/5.47 inference(modus_ponens,[status(thm)],[3097, 3096])).
% 7.94/5.47 tff(3099,plain,
% 7.94/5.47 (v94(constB147) | ![B: $i] : ((~less_3(B)) | (v84(constB147, B) <=> v84(constB146, B)))),
% 7.94/5.47 inference(unit_resolution,[status(thm)],[3098, 3075, 824])).
% 7.94/5.47 tff(3100,plain,
% 7.94/5.47 (![B: $i] : ((~less_3(B)) | (v84(constB147, B) <=> v84(constB146, B)))),
% 7.94/5.47 inference(unit_resolution,[status(thm)],[3099, 3095])).
% 7.94/5.47 tff(3101,plain,
% 7.94/5.47 (((~![B: $i] : ((~less_3(B)) | (v84(constB147, B) <=> v84(constB146, B)))) | ((~less_3(bitIndex2)) | (v84(constB147, bitIndex2) <=> v84(constB146, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB147, B) <=> v84(constB146, B)))) | (~less_3(bitIndex2)) | (v84(constB147, bitIndex2) <=> v84(constB146, bitIndex2)))),
% 7.94/5.47 inference(rewrite,[status(thm)],[])).
% 7.94/5.47 tff(3102,plain,
% 7.94/5.47 ((~![B: $i] : ((~less_3(B)) | (v84(constB147, B) <=> v84(constB146, B)))) | ((~less_3(bitIndex2)) | (v84(constB147, bitIndex2) <=> v84(constB146, bitIndex2)))),
% 7.94/5.47 inference(quant_inst,[status(thm)],[])).
% 7.94/5.47 tff(3103,plain,
% 7.94/5.47 ((~![B: $i] : ((~less_3(B)) | (v84(constB147, B) <=> v84(constB146, B)))) | (~less_3(bitIndex2)) | (v84(constB147, bitIndex2) <=> v84(constB146, bitIndex2))),
% 7.94/5.47 inference(modus_ponens,[status(thm)],[3102, 3101])).
% 7.94/5.47 tff(3104,plain,
% 7.94/5.47 (v84(constB147, bitIndex2) <=> v84(constB146, bitIndex2)),
% 7.94/5.47 inference(unit_resolution,[status(thm)],[3103, 832, 3100])).
% 7.94/5.47 tff(3105,plain,
% 7.94/5.47 (nextState(constB145, constB146) <=> nextState(constB145, constB146)),
% 7.94/5.47 inference(rewrite,[status(thm)],[])).
% 7.94/5.47 tff(3106,axiom,(nextState(constB145, constB146)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_145')).
% 7.94/5.47 tff(3107,plain,
% 7.94/5.47 (nextState(constB145, constB146)),
% 7.94/5.47 inference(modus_ponens,[status(thm)],[3106, 3105])).
% 7.94/5.47 tff(3108,plain,
% 7.94/5.47 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB145, constB146)) | (v94(constB146) <=> (~((~v104(constB146)) | (~v95(constB146))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB145, constB146)) | (v94(constB146) <=> (~((~v104(constB146)) | (~v95(constB146))))))),
% 7.94/5.47 inference(rewrite,[status(thm)],[])).
% 7.94/5.47 tff(3109,plain,
% 7.94/5.47 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB145, constB146)) | (v94(constB146) <=> (~((~v104(constB146)) | (~v95(constB146))))))),
% 7.94/5.47 inference(quant_inst,[status(thm)],[])).
% 7.94/5.47 tff(3110,plain,
% 7.94/5.47 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB145, constB146)) | (v94(constB146) <=> (~((~v104(constB146)) | (~v95(constB146)))))),
% 7.94/5.47 inference(modus_ponens,[status(thm)],[3109, 3108])).
% 7.94/5.47 tff(3111,plain,
% 7.94/5.47 (v94(constB146) <=> (~((~v104(constB146)) | (~v95(constB146))))),
% 7.94/5.47 inference(unit_resolution,[status(thm)],[3110, 3107, 775])).
% 7.94/5.47 tff(3112,plain,
% 7.94/5.47 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB145, constB146)) | (v95(constB146) <=> (~((~v1(constB146)) | (~v96(constB146))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB145, constB146)) | (v95(constB146) <=> (~((~v1(constB146)) | (~v96(constB146))))))),
% 7.94/5.47 inference(rewrite,[status(thm)],[])).
% 7.94/5.47 tff(3113,plain,
% 7.94/5.47 (((~nextState(constB145, constB146)) | (v95(constB146) <=> (~((~v96(constB146)) | (~v1(constB146)))))) <=> ((~nextState(constB145, constB146)) | (v95(constB146) <=> (~((~v1(constB146)) | (~v96(constB146))))))),
% 7.94/5.47 inference(rewrite,[status(thm)],[])).
% 7.94/5.47 tff(3114,plain,
% 7.94/5.47 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB145, constB146)) | (v95(constB146) <=> (~((~v96(constB146)) | (~v1(constB146))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB145, constB146)) | (v95(constB146) <=> (~((~v1(constB146)) | (~v96(constB146)))))))),
% 7.94/5.47 inference(monotonicity,[status(thm)],[3113])).
% 7.94/5.47 tff(3115,plain,
% 7.94/5.47 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB145, constB146)) | (v95(constB146) <=> (~((~v96(constB146)) | (~v1(constB146))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB145, constB146)) | (v95(constB146) <=> (~((~v1(constB146)) | (~v96(constB146))))))),
% 7.94/5.47 inference(transitivity,[status(thm)],[3114, 3112])).
% 7.94/5.47 tff(3116,plain,
% 7.94/5.47 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB145, constB146)) | (v95(constB146) <=> (~((~v96(constB146)) | (~v1(constB146))))))),
% 7.94/5.47 inference(quant_inst,[status(thm)],[])).
% 7.94/5.47 tff(3117,plain,
% 7.94/5.47 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB145, constB146)) | (v95(constB146) <=> (~((~v1(constB146)) | (~v96(constB146)))))),
% 7.94/5.47 inference(modus_ponens,[status(thm)],[3116, 3115])).
% 7.94/5.47 tff(3118,plain,
% 7.94/5.47 (v95(constB146) <=> (~((~v1(constB146)) | (~v96(constB146))))),
% 7.94/5.47 inference(unit_resolution,[status(thm)],[3117, 3107, 795])).
% 7.94/5.47 tff(3119,plain,
% 7.94/5.47 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB145, constB146)) | ((~v96(constB146)) <=> v98(constB146)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB145, constB146)) | ((~v96(constB146)) <=> v98(constB146)))),
% 7.94/5.47 inference(rewrite,[status(thm)],[])).
% 7.94/5.47 tff(3120,plain,
% 7.94/5.47 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB145, constB146)) | ((~v96(constB146)) <=> v98(constB146)))),
% 7.94/5.47 inference(quant_inst,[status(thm)],[])).
% 7.94/5.47 tff(3121,plain,
% 7.94/5.47 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB145, constB146)) | ((~v96(constB146)) <=> v98(constB146))),
% 7.94/5.47 inference(modus_ponens,[status(thm)],[3120, 3119])).
% 7.94/5.47 tff(3122,plain,
% 7.94/5.47 ((~v96(constB146)) <=> v98(constB146)),
% 7.94/5.47 inference(unit_resolution,[status(thm)],[3121, 3107, 860])).
% 7.94/5.47 tff(3123,plain,
% 7.94/5.47 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB145, constB146)) | (v98(constB146) <=> v1(constB145)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB145, constB146)) | (v98(constB146) <=> v1(constB145)))),
% 7.94/5.47 inference(rewrite,[status(thm)],[])).
% 7.94/5.47 tff(3124,plain,
% 7.94/5.47 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB145, constB146)) | (v98(constB146) <=> v1(constB145)))),
% 7.94/5.47 inference(quant_inst,[status(thm)],[])).
% 7.94/5.47 tff(3125,plain,
% 7.94/5.47 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB145, constB146)) | (v98(constB146) <=> v1(constB145))),
% 7.94/5.47 inference(modus_ponens,[status(thm)],[3124, 3123])).
% 7.94/5.47 tff(3126,plain,
% 7.94/5.47 (v98(constB146) <=> v1(constB145)),
% 7.94/5.47 inference(unit_resolution,[status(thm)],[3125, 3107, 874])).
% 7.94/5.47 tff(3127,plain,
% 7.94/5.47 ((~v1(constB145)) <=> (~v1(constB145))),
% 7.94/5.47 inference(rewrite,[status(thm)],[])).
% 7.94/5.47 tff(3128,axiom,(~v1(constB145)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_145')).
% 7.94/5.47 tff(3129,plain,
% 7.94/5.47 (~v1(constB145)),
% 7.94/5.47 inference(modus_ponens,[status(thm)],[3128, 3127])).
% 7.94/5.47 tff(3130,plain,
% 7.94/5.47 ((~(v98(constB146) <=> v1(constB145))) | (~v98(constB146)) | v1(constB145)),
% 7.94/5.47 inference(tautology,[status(thm)],[])).
% 7.94/5.47 tff(3131,plain,
% 7.94/5.47 ((~(v98(constB146) <=> v1(constB145))) | (~v98(constB146))),
% 7.94/5.47 inference(unit_resolution,[status(thm)],[3130, 3129])).
% 7.94/5.47 tff(3132,plain,
% 7.94/5.47 (~v98(constB146)),
% 7.94/5.47 inference(unit_resolution,[status(thm)],[3131, 3126])).
% 7.94/5.47 tff(3133,plain,
% 7.94/5.47 ((~((~v96(constB146)) <=> v98(constB146))) | v96(constB146) | v98(constB146)),
% 7.94/5.47 inference(tautology,[status(thm)],[])).
% 7.94/5.47 tff(3134,plain,
% 7.94/5.47 (v96(constB146)),
% 7.94/5.47 inference(unit_resolution,[status(thm)],[3133, 3132, 3122])).
% 7.94/5.47 tff(3135,plain,
% 7.94/5.47 (v1(constB146) <=> v1(constB146)),
% 7.94/5.47 inference(rewrite,[status(thm)],[])).
% 7.94/5.47 tff(3136,axiom,(v1(constB146)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_146')).
% 7.94/5.47 tff(3137,plain,
% 7.94/5.47 (v1(constB146)),
% 7.94/5.47 inference(modus_ponens,[status(thm)],[3136, 3135])).
% 7.94/5.47 tff(3138,plain,
% 7.94/5.47 ((~((~v1(constB146)) | (~v96(constB146)))) | (~v1(constB146)) | (~v96(constB146))),
% 7.94/5.47 inference(tautology,[status(thm)],[])).
% 7.94/5.47 tff(3139,plain,
% 7.94/5.47 ((~((~v1(constB146)) | (~v96(constB146)))) | (~v96(constB146))),
% 7.94/5.47 inference(unit_resolution,[status(thm)],[3138, 3137])).
% 7.94/5.47 tff(3140,plain,
% 7.94/5.47 (~((~v1(constB146)) | (~v96(constB146)))),
% 7.94/5.47 inference(unit_resolution,[status(thm)],[3139, 3134])).
% 7.94/5.47 tff(3141,plain,
% 7.94/5.47 ((~(v95(constB146) <=> (~((~v1(constB146)) | (~v96(constB146)))))) | v95(constB146) | ((~v1(constB146)) | (~v96(constB146)))),
% 7.94/5.47 inference(tautology,[status(thm)],[])).
% 7.94/5.47 tff(3142,plain,
% 7.94/5.47 (v95(constB146)),
% 7.94/5.47 inference(unit_resolution,[status(thm)],[3141, 3140, 3118])).
% 7.94/5.47 tff(3143,plain,
% 7.94/5.47 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB145, constB146)) | (v104(constB146) <=> v102(constB145)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB145, constB146)) | (v104(constB146) <=> v102(constB145)))),
% 7.94/5.47 inference(rewrite,[status(thm)],[])).
% 7.94/5.47 tff(3144,plain,
% 7.94/5.47 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB145, constB146)) | (v104(constB146) <=> v102(constB145)))),
% 7.94/5.47 inference(quant_inst,[status(thm)],[])).
% 7.94/5.47 tff(3145,plain,
% 7.94/5.47 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB145, constB146)) | (v104(constB146) <=> v102(constB145))),
% 7.94/5.47 inference(modus_ponens,[status(thm)],[3144, 3143])).
% 7.94/5.47 tff(3146,plain,
% 7.94/5.47 (v104(constB146) <=> v102(constB145)),
% 7.94/5.47 inference(unit_resolution,[status(thm)],[3145, 3107, 904])).
% 7.94/5.47 tff(3147,plain,
% 7.94/5.47 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB145) <=> (v105(constB145) | v106(constB145)))),
% 7.94/5.47 inference(quant_inst,[status(thm)],[])).
% 7.94/5.47 tff(3148,plain,
% 7.94/5.47 (v102(constB145) <=> (v105(constB145) | v106(constB145))),
% 7.94/5.47 inference(unit_resolution,[status(thm)],[3147, 915])).
% 7.94/5.47 tff(3149,plain,
% 7.94/5.47 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB145) <=> (~((~v107(constB145)) | (~v120(constB145)))))),
% 7.94/5.47 inference(quant_inst,[status(thm)],[])).
% 7.94/5.47 tff(3150,plain,
% 7.94/5.47 (v106(constB145) <=> (~((~v107(constB145)) | (~v120(constB145))))),
% 7.94/5.47 inference(unit_resolution,[status(thm)],[3149, 927])).
% 7.94/5.47 tff(3151,plain,
% 7.94/5.47 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB145) <=> (v108(constB145) | v119(constB145)))),
% 7.94/5.47 inference(quant_inst,[status(thm)],[])).
% 7.94/5.47 tff(3152,plain,
% 7.94/5.47 (v107(constB145) <=> (v108(constB145) | v119(constB145))),
% 7.94/5.47 inference(unit_resolution,[status(thm)],[3151, 936])).
% 7.94/5.47 tff(3153,plain,
% 7.94/5.47 (((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB145) <=> (~((~v84(constB145, bitIndex2)) | (~v84(constB145, bitIndex1)) | v84(constB145, bitIndex0))))) <=> ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB145) <=> (~((~v84(constB145, bitIndex2)) | (~v84(constB145, bitIndex1)) | v84(constB145, bitIndex0)))))),
% 7.94/5.47 inference(rewrite,[status(thm)],[])).
% 7.94/5.47 tff(3154,plain,
% 7.94/5.47 ((v119(constB145) <=> (~(v84(constB145, bitIndex0) | (~v84(constB145, bitIndex1)) | (~v84(constB145, bitIndex2))))) <=> (v119(constB145) <=> (~((~v84(constB145, bitIndex2)) | (~v84(constB145, bitIndex1)) | v84(constB145, bitIndex0))))),
% 7.94/5.47 inference(rewrite,[status(thm)],[])).
% 7.94/5.47 tff(3155,plain,
% 7.94/5.47 (((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB145) <=> (~(v84(constB145, bitIndex0) | (~v84(constB145, bitIndex1)) | (~v84(constB145, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB145) <=> (~((~v84(constB145, bitIndex2)) | (~v84(constB145, bitIndex1)) | v84(constB145, bitIndex0)))))),
% 7.94/5.47 inference(monotonicity,[status(thm)],[3154])).
% 7.94/5.47 tff(3156,plain,
% 7.94/5.47 (((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB145) <=> (~(v84(constB145, bitIndex0) | (~v84(constB145, bitIndex1)) | (~v84(constB145, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB145) <=> (~((~v84(constB145, bitIndex2)) | (~v84(constB145, bitIndex1)) | v84(constB145, bitIndex0)))))),
% 7.94/5.47 inference(transitivity,[status(thm)],[3155, 3153])).
% 7.94/5.47 tff(3157,plain,
% 7.94/5.47 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB145) <=> (~(v84(constB145, bitIndex0) | (~v84(constB145, bitIndex1)) | (~v84(constB145, bitIndex2)))))),
% 7.94/5.47 inference(quant_inst,[status(thm)],[])).
% 7.94/5.47 tff(3158,plain,
% 7.94/5.47 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB145) <=> (~((~v84(constB145, bitIndex2)) | (~v84(constB145, bitIndex1)) | v84(constB145, bitIndex0))))),
% 7.94/5.47 inference(modus_ponens,[status(thm)],[3157, 3156])).
% 7.94/5.47 tff(3159,plain,
% 7.94/5.47 (v119(constB145) <=> (~((~v84(constB145, bitIndex2)) | (~v84(constB145, bitIndex1)) | v84(constB145, bitIndex0)))),
% 7.94/5.47 inference(unit_resolution,[status(thm)],[3158, 1511])).
% 7.94/5.47 tff(3160,plain,
% 7.94/5.47 (nextState(constB144, constB145) <=> nextState(constB144, constB145)),
% 7.94/5.47 inference(rewrite,[status(thm)],[])).
% 7.94/5.47 tff(3161,axiom,(nextState(constB144, constB145)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_144')).
% 7.94/5.47 tff(3162,plain,
% 7.94/5.47 (nextState(constB144, constB145)),
% 7.94/5.47 inference(modus_ponens,[status(thm)],[3161, 3160])).
% 7.94/5.47 tff(3163,plain,
% 7.94/5.47 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB144, constB145)) | (v94(constB145) <=> (~((~v104(constB145)) | (~v95(constB145))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB144, constB145)) | (v94(constB145) <=> (~((~v104(constB145)) | (~v95(constB145))))))),
% 7.94/5.47 inference(rewrite,[status(thm)],[])).
% 7.94/5.47 tff(3164,plain,
% 7.94/5.47 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB144, constB145)) | (v94(constB145) <=> (~((~v104(constB145)) | (~v95(constB145))))))),
% 7.94/5.48 inference(quant_inst,[status(thm)],[])).
% 7.94/5.48 tff(3165,plain,
% 7.94/5.48 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB144, constB145)) | (v94(constB145) <=> (~((~v104(constB145)) | (~v95(constB145)))))),
% 7.94/5.48 inference(modus_ponens,[status(thm)],[3164, 3163])).
% 7.94/5.48 tff(3166,plain,
% 7.94/5.48 (v94(constB145) <=> (~((~v104(constB145)) | (~v95(constB145))))),
% 7.94/5.48 inference(unit_resolution,[status(thm)],[3165, 3162, 775])).
% 7.94/5.48 tff(3167,plain,
% 7.94/5.48 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB144, constB145)) | (v95(constB145) <=> (~((~v1(constB145)) | (~v96(constB145))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB144, constB145)) | (v95(constB145) <=> (~((~v1(constB145)) | (~v96(constB145))))))),
% 7.94/5.48 inference(rewrite,[status(thm)],[])).
% 7.94/5.48 tff(3168,plain,
% 7.94/5.48 (((~nextState(constB144, constB145)) | (v95(constB145) <=> (~((~v96(constB145)) | (~v1(constB145)))))) <=> ((~nextState(constB144, constB145)) | (v95(constB145) <=> (~((~v1(constB145)) | (~v96(constB145))))))),
% 7.94/5.48 inference(rewrite,[status(thm)],[])).
% 7.94/5.48 tff(3169,plain,
% 7.94/5.48 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB144, constB145)) | (v95(constB145) <=> (~((~v96(constB145)) | (~v1(constB145))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB144, constB145)) | (v95(constB145) <=> (~((~v1(constB145)) | (~v96(constB145)))))))),
% 7.94/5.48 inference(monotonicity,[status(thm)],[3168])).
% 7.94/5.48 tff(3170,plain,
% 7.94/5.48 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB144, constB145)) | (v95(constB145) <=> (~((~v96(constB145)) | (~v1(constB145))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB144, constB145)) | (v95(constB145) <=> (~((~v1(constB145)) | (~v96(constB145))))))),
% 7.94/5.48 inference(transitivity,[status(thm)],[3169, 3167])).
% 7.94/5.48 tff(3171,plain,
% 7.94/5.48 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB144, constB145)) | (v95(constB145) <=> (~((~v96(constB145)) | (~v1(constB145))))))),
% 7.94/5.48 inference(quant_inst,[status(thm)],[])).
% 7.94/5.48 tff(3172,plain,
% 7.94/5.48 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB144, constB145)) | (v95(constB145) <=> (~((~v1(constB145)) | (~v96(constB145)))))),
% 7.94/5.48 inference(modus_ponens,[status(thm)],[3171, 3170])).
% 7.94/5.48 tff(3173,plain,
% 7.94/5.48 (v95(constB145) <=> (~((~v1(constB145)) | (~v96(constB145))))),
% 7.94/5.48 inference(unit_resolution,[status(thm)],[3172, 3162, 795])).
% 7.94/5.48 tff(3174,plain,
% 7.94/5.48 (((~v1(constB145)) | (~v96(constB145))) | v1(constB145)),
% 7.94/5.48 inference(tautology,[status(thm)],[])).
% 7.94/5.48 tff(3175,plain,
% 7.94/5.48 ((~v1(constB145)) | (~v96(constB145))),
% 7.94/5.48 inference(unit_resolution,[status(thm)],[3174, 3129])).
% 7.94/5.48 tff(3176,plain,
% 7.94/5.48 ((~(v95(constB145) <=> (~((~v1(constB145)) | (~v96(constB145)))))) | (~v95(constB145)) | (~((~v1(constB145)) | (~v96(constB145))))),
% 7.94/5.48 inference(tautology,[status(thm)],[])).
% 7.94/5.48 tff(3177,plain,
% 7.94/5.48 ((~(v95(constB145) <=> (~((~v1(constB145)) | (~v96(constB145)))))) | (~v95(constB145))),
% 7.94/5.48 inference(unit_resolution,[status(thm)],[3176, 3175])).
% 7.94/5.48 tff(3178,plain,
% 7.94/5.48 (~v95(constB145)),
% 7.94/5.48 inference(unit_resolution,[status(thm)],[3177, 3173])).
% 7.94/5.48 tff(3179,plain,
% 7.94/5.48 (((~v104(constB145)) | (~v95(constB145))) | v95(constB145)),
% 7.94/5.48 inference(tautology,[status(thm)],[])).
% 7.94/5.48 tff(3180,plain,
% 7.94/5.48 ((~v104(constB145)) | (~v95(constB145))),
% 7.94/5.48 inference(unit_resolution,[status(thm)],[3179, 3178])).
% 7.94/5.48 tff(3181,plain,
% 7.94/5.48 ((~(v94(constB145) <=> (~((~v104(constB145)) | (~v95(constB145)))))) | (~v94(constB145)) | (~((~v104(constB145)) | (~v95(constB145))))),
% 7.94/5.48 inference(tautology,[status(thm)],[])).
% 7.94/5.48 tff(3182,plain,
% 7.94/5.48 (~v94(constB145)),
% 7.94/5.48 inference(unit_resolution,[status(thm)],[3181, 3180, 3166])).
% 7.94/5.48 tff(3183,plain,
% 7.94/5.48 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB145) | (~nextState(constB144, constB145)) | ![B: $i] : ((~less_3(B)) | (v84(constB145, B) <=> v84(constB144, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB145) | (~nextState(constB144, constB145)) | ![B: $i] : ((~less_3(B)) | (v84(constB145, B) <=> v84(constB144, B))))),
% 7.94/5.48 inference(rewrite,[status(thm)],[])).
% 7.94/5.48 tff(3184,plain,
% 7.94/5.48 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB145) | (~nextState(constB144, constB145)) | ![B: $i] : ((~less_3(B)) | (v84(constB145, B) <=> v84(constB144, B))))),
% 7.94/5.48 inference(quant_inst,[status(thm)],[])).
% 7.94/5.48 tff(3185,plain,
% 7.94/5.48 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB145) | (~nextState(constB144, constB145)) | ![B: $i] : ((~less_3(B)) | (v84(constB145, B) <=> v84(constB144, B)))),
% 7.94/5.48 inference(modus_ponens,[status(thm)],[3184, 3183])).
% 7.94/5.48 tff(3186,plain,
% 7.94/5.48 (v94(constB145) | ![B: $i] : ((~less_3(B)) | (v84(constB145, B) <=> v84(constB144, B)))),
% 7.94/5.48 inference(unit_resolution,[status(thm)],[3185, 3162, 824])).
% 7.94/5.48 tff(3187,plain,
% 7.94/5.48 (![B: $i] : ((~less_3(B)) | (v84(constB145, B) <=> v84(constB144, B)))),
% 7.94/5.48 inference(unit_resolution,[status(thm)],[3186, 3182])).
% 7.94/5.48 tff(3188,plain,
% 7.94/5.48 (((~![B: $i] : ((~less_3(B)) | (v84(constB145, B) <=> v84(constB144, B)))) | ((~less_3(bitIndex2)) | (v84(constB145, bitIndex2) <=> v84(constB144, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB145, B) <=> v84(constB144, B)))) | (~less_3(bitIndex2)) | (v84(constB145, bitIndex2) <=> v84(constB144, bitIndex2)))),
% 7.94/5.48 inference(rewrite,[status(thm)],[])).
% 7.94/5.48 tff(3189,plain,
% 7.94/5.48 ((~![B: $i] : ((~less_3(B)) | (v84(constB145, B) <=> v84(constB144, B)))) | ((~less_3(bitIndex2)) | (v84(constB145, bitIndex2) <=> v84(constB144, bitIndex2)))),
% 7.94/5.48 inference(quant_inst,[status(thm)],[])).
% 7.94/5.48 tff(3190,plain,
% 7.94/5.48 ((~![B: $i] : ((~less_3(B)) | (v84(constB145, B) <=> v84(constB144, B)))) | (~less_3(bitIndex2)) | (v84(constB145, bitIndex2) <=> v84(constB144, bitIndex2))),
% 7.94/5.48 inference(modus_ponens,[status(thm)],[3189, 3188])).
% 7.94/5.48 tff(3191,plain,
% 7.94/5.48 (v84(constB145, bitIndex2) <=> v84(constB144, bitIndex2)),
% 7.94/5.48 inference(unit_resolution,[status(thm)],[3190, 832, 3187])).
% 7.94/5.48 tff(3192,plain,
% 7.94/5.48 (nextState(constB143, constB144) <=> nextState(constB143, constB144)),
% 7.94/5.48 inference(rewrite,[status(thm)],[])).
% 7.94/5.48 tff(3193,axiom,(nextState(constB143, constB144)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_143')).
% 7.94/5.48 tff(3194,plain,
% 7.94/5.48 (nextState(constB143, constB144)),
% 7.94/5.48 inference(modus_ponens,[status(thm)],[3193, 3192])).
% 7.94/5.48 tff(3195,plain,
% 7.94/5.48 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB143, constB144)) | (v94(constB144) <=> (~((~v104(constB144)) | (~v95(constB144))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB143, constB144)) | (v94(constB144) <=> (~((~v104(constB144)) | (~v95(constB144))))))),
% 7.94/5.48 inference(rewrite,[status(thm)],[])).
% 7.94/5.48 tff(3196,plain,
% 7.94/5.48 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB143, constB144)) | (v94(constB144) <=> (~((~v104(constB144)) | (~v95(constB144))))))),
% 7.94/5.48 inference(quant_inst,[status(thm)],[])).
% 7.94/5.48 tff(3197,plain,
% 7.94/5.48 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB143, constB144)) | (v94(constB144) <=> (~((~v104(constB144)) | (~v95(constB144)))))),
% 7.94/5.48 inference(modus_ponens,[status(thm)],[3196, 3195])).
% 7.94/5.48 tff(3198,plain,
% 7.94/5.48 (v94(constB144) <=> (~((~v104(constB144)) | (~v95(constB144))))),
% 7.94/5.48 inference(unit_resolution,[status(thm)],[3197, 3194, 775])).
% 7.94/5.48 tff(3199,plain,
% 7.94/5.48 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB143, constB144)) | (v95(constB144) <=> (~((~v1(constB144)) | (~v96(constB144))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB143, constB144)) | (v95(constB144) <=> (~((~v1(constB144)) | (~v96(constB144))))))),
% 7.94/5.48 inference(rewrite,[status(thm)],[])).
% 7.94/5.48 tff(3200,plain,
% 7.94/5.48 (((~nextState(constB143, constB144)) | (v95(constB144) <=> (~((~v96(constB144)) | (~v1(constB144)))))) <=> ((~nextState(constB143, constB144)) | (v95(constB144) <=> (~((~v1(constB144)) | (~v96(constB144))))))),
% 7.94/5.48 inference(rewrite,[status(thm)],[])).
% 7.94/5.48 tff(3201,plain,
% 7.94/5.48 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB143, constB144)) | (v95(constB144) <=> (~((~v96(constB144)) | (~v1(constB144))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB143, constB144)) | (v95(constB144) <=> (~((~v1(constB144)) | (~v96(constB144)))))))),
% 7.94/5.48 inference(monotonicity,[status(thm)],[3200])).
% 7.94/5.48 tff(3202,plain,
% 7.94/5.48 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB143, constB144)) | (v95(constB144) <=> (~((~v96(constB144)) | (~v1(constB144))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB143, constB144)) | (v95(constB144) <=> (~((~v1(constB144)) | (~v96(constB144))))))),
% 7.94/5.48 inference(transitivity,[status(thm)],[3201, 3199])).
% 7.94/5.48 tff(3203,plain,
% 7.94/5.48 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB143, constB144)) | (v95(constB144) <=> (~((~v96(constB144)) | (~v1(constB144))))))),
% 7.94/5.48 inference(quant_inst,[status(thm)],[])).
% 7.94/5.48 tff(3204,plain,
% 7.94/5.48 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB143, constB144)) | (v95(constB144) <=> (~((~v1(constB144)) | (~v96(constB144)))))),
% 7.94/5.48 inference(modus_ponens,[status(thm)],[3203, 3202])).
% 7.94/5.48 tff(3205,plain,
% 7.94/5.48 (v95(constB144) <=> (~((~v1(constB144)) | (~v96(constB144))))),
% 7.94/5.48 inference(unit_resolution,[status(thm)],[3204, 3194, 795])).
% 7.94/5.48 tff(3206,plain,
% 7.94/5.48 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB143, constB144)) | ((~v96(constB144)) <=> v98(constB144)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB143, constB144)) | ((~v96(constB144)) <=> v98(constB144)))),
% 7.94/5.48 inference(rewrite,[status(thm)],[])).
% 7.94/5.48 tff(3207,plain,
% 7.94/5.48 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB143, constB144)) | ((~v96(constB144)) <=> v98(constB144)))),
% 7.94/5.48 inference(quant_inst,[status(thm)],[])).
% 7.94/5.48 tff(3208,plain,
% 7.94/5.48 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB143, constB144)) | ((~v96(constB144)) <=> v98(constB144))),
% 7.94/5.48 inference(modus_ponens,[status(thm)],[3207, 3206])).
% 7.94/5.48 tff(3209,plain,
% 7.94/5.48 ((~v96(constB144)) <=> v98(constB144)),
% 7.94/5.48 inference(unit_resolution,[status(thm)],[3208, 3194, 860])).
% 7.94/5.48 tff(3210,plain,
% 7.94/5.48 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB143, constB144)) | (v98(constB144) <=> v1(constB143)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB143, constB144)) | (v98(constB144) <=> v1(constB143)))),
% 7.94/5.48 inference(rewrite,[status(thm)],[])).
% 7.94/5.48 tff(3211,plain,
% 7.94/5.48 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB143, constB144)) | (v98(constB144) <=> v1(constB143)))),
% 7.94/5.48 inference(quant_inst,[status(thm)],[])).
% 7.94/5.48 tff(3212,plain,
% 7.94/5.48 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB143, constB144)) | (v98(constB144) <=> v1(constB143))),
% 7.94/5.48 inference(modus_ponens,[status(thm)],[3211, 3210])).
% 7.94/5.48 tff(3213,plain,
% 7.94/5.48 (v98(constB144) <=> v1(constB143)),
% 7.94/5.48 inference(unit_resolution,[status(thm)],[3212, 3194, 874])).
% 7.94/5.48 tff(3214,plain,
% 7.94/5.48 ((~v1(constB143)) <=> (~v1(constB143))),
% 7.94/5.48 inference(rewrite,[status(thm)],[])).
% 7.94/5.48 tff(3215,axiom,(~v1(constB143)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_143')).
% 7.94/5.48 tff(3216,plain,
% 7.94/5.48 (~v1(constB143)),
% 7.94/5.48 inference(modus_ponens,[status(thm)],[3215, 3214])).
% 7.94/5.48 tff(3217,plain,
% 7.94/5.48 ((~(v98(constB144) <=> v1(constB143))) | (~v98(constB144)) | v1(constB143)),
% 7.94/5.48 inference(tautology,[status(thm)],[])).
% 7.94/5.48 tff(3218,plain,
% 7.94/5.48 ((~(v98(constB144) <=> v1(constB143))) | (~v98(constB144))),
% 7.94/5.48 inference(unit_resolution,[status(thm)],[3217, 3216])).
% 7.94/5.48 tff(3219,plain,
% 7.94/5.48 (~v98(constB144)),
% 7.94/5.48 inference(unit_resolution,[status(thm)],[3218, 3213])).
% 7.94/5.48 tff(3220,plain,
% 7.94/5.48 ((~((~v96(constB144)) <=> v98(constB144))) | v96(constB144) | v98(constB144)),
% 7.94/5.48 inference(tautology,[status(thm)],[])).
% 7.94/5.48 tff(3221,plain,
% 7.94/5.48 (v96(constB144)),
% 7.94/5.48 inference(unit_resolution,[status(thm)],[3220, 3219, 3209])).
% 7.94/5.48 tff(3222,plain,
% 7.94/5.48 (v1(constB144) <=> v1(constB144)),
% 7.94/5.48 inference(rewrite,[status(thm)],[])).
% 7.94/5.48 tff(3223,axiom,(v1(constB144)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_144')).
% 7.94/5.48 tff(3224,plain,
% 7.94/5.48 (v1(constB144)),
% 7.94/5.48 inference(modus_ponens,[status(thm)],[3223, 3222])).
% 7.94/5.48 tff(3225,plain,
% 7.94/5.48 ((~((~v1(constB144)) | (~v96(constB144)))) | (~v1(constB144)) | (~v96(constB144))),
% 7.94/5.48 inference(tautology,[status(thm)],[])).
% 7.94/5.48 tff(3226,plain,
% 7.94/5.48 ((~((~v1(constB144)) | (~v96(constB144)))) | (~v96(constB144))),
% 7.94/5.48 inference(unit_resolution,[status(thm)],[3225, 3224])).
% 7.94/5.48 tff(3227,plain,
% 7.94/5.48 (~((~v1(constB144)) | (~v96(constB144)))),
% 7.94/5.48 inference(unit_resolution,[status(thm)],[3226, 3221])).
% 7.94/5.48 tff(3228,plain,
% 7.94/5.48 ((~(v95(constB144) <=> (~((~v1(constB144)) | (~v96(constB144)))))) | v95(constB144) | ((~v1(constB144)) | (~v96(constB144)))),
% 7.94/5.48 inference(tautology,[status(thm)],[])).
% 7.97/5.48 tff(3229,plain,
% 7.97/5.48 (v95(constB144)),
% 7.97/5.48 inference(unit_resolution,[status(thm)],[3228, 3227, 3205])).
% 7.97/5.48 tff(3230,plain,
% 7.97/5.48 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB143, constB144)) | (v104(constB144) <=> v102(constB143)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB143, constB144)) | (v104(constB144) <=> v102(constB143)))),
% 7.97/5.48 inference(rewrite,[status(thm)],[])).
% 7.97/5.48 tff(3231,plain,
% 7.97/5.48 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB143, constB144)) | (v104(constB144) <=> v102(constB143)))),
% 7.97/5.48 inference(quant_inst,[status(thm)],[])).
% 7.97/5.48 tff(3232,plain,
% 7.97/5.48 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB143, constB144)) | (v104(constB144) <=> v102(constB143))),
% 7.97/5.48 inference(modus_ponens,[status(thm)],[3231, 3230])).
% 7.97/5.48 tff(3233,plain,
% 7.97/5.48 (v104(constB144) <=> v102(constB143)),
% 7.97/5.48 inference(unit_resolution,[status(thm)],[3232, 3194, 904])).
% 7.97/5.48 tff(3234,plain,
% 7.97/5.48 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB143) <=> (v105(constB143) | v106(constB143)))),
% 7.97/5.48 inference(quant_inst,[status(thm)],[])).
% 7.97/5.48 tff(3235,plain,
% 7.97/5.48 (v102(constB143) <=> (v105(constB143) | v106(constB143))),
% 7.97/5.48 inference(unit_resolution,[status(thm)],[3234, 915])).
% 7.97/5.48 tff(3236,plain,
% 7.97/5.48 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB143) <=> (~((~v107(constB143)) | (~v120(constB143)))))),
% 7.97/5.48 inference(quant_inst,[status(thm)],[])).
% 7.97/5.48 tff(3237,plain,
% 7.97/5.48 (v106(constB143) <=> (~((~v107(constB143)) | (~v120(constB143))))),
% 7.97/5.48 inference(unit_resolution,[status(thm)],[3236, 927])).
% 7.97/5.48 tff(3238,plain,
% 7.97/5.48 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB143) <=> (v108(constB143) | v119(constB143)))),
% 7.97/5.48 inference(quant_inst,[status(thm)],[])).
% 7.97/5.48 tff(3239,plain,
% 7.97/5.48 (v107(constB143) <=> (v108(constB143) | v119(constB143))),
% 7.97/5.48 inference(unit_resolution,[status(thm)],[3238, 936])).
% 7.97/5.48 tff(3240,plain,
% 7.97/5.48 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB143) <=> (v109(constB143) | v118(constB143)))),
% 7.97/5.48 inference(quant_inst,[status(thm)],[])).
% 7.97/5.48 tff(3241,plain,
% 7.97/5.48 (v108(constB143) <=> (v109(constB143) | v118(constB143))),
% 7.97/5.48 inference(unit_resolution,[status(thm)],[3240, 945])).
% 7.97/5.48 tff(3242,plain,
% 7.97/5.48 (((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB143) <=> (~((~v84(constB143, bitIndex2)) | v84(constB143, bitIndex1) | (~v84(constB143, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB143) <=> (~((~v84(constB143, bitIndex2)) | v84(constB143, bitIndex1) | (~v84(constB143, bitIndex0))))))),
% 7.97/5.48 inference(rewrite,[status(thm)],[])).
% 7.97/5.48 tff(3243,plain,
% 7.97/5.48 ((v118(constB143) <=> (~(v84(constB143, bitIndex1) | (~v84(constB143, bitIndex0)) | (~v84(constB143, bitIndex2))))) <=> (v118(constB143) <=> (~((~v84(constB143, bitIndex2)) | v84(constB143, bitIndex1) | (~v84(constB143, bitIndex0)))))),
% 7.97/5.48 inference(rewrite,[status(thm)],[])).
% 7.97/5.48 tff(3244,plain,
% 7.97/5.48 (((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB143) <=> (~(v84(constB143, bitIndex1) | (~v84(constB143, bitIndex0)) | (~v84(constB143, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB143) <=> (~((~v84(constB143, bitIndex2)) | v84(constB143, bitIndex1) | (~v84(constB143, bitIndex0))))))),
% 7.97/5.48 inference(monotonicity,[status(thm)],[3243])).
% 7.97/5.48 tff(3245,plain,
% 7.97/5.48 (((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB143) <=> (~(v84(constB143, bitIndex1) | (~v84(constB143, bitIndex0)) | (~v84(constB143, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB143) <=> (~((~v84(constB143, bitIndex2)) | v84(constB143, bitIndex1) | (~v84(constB143, bitIndex0))))))),
% 7.97/5.48 inference(transitivity,[status(thm)],[3244, 3242])).
% 7.97/5.48 tff(3246,plain,
% 7.97/5.48 ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB143) <=> (~(v84(constB143, bitIndex1) | (~v84(constB143, bitIndex0)) | (~v84(constB143, bitIndex2)))))),
% 7.97/5.48 inference(quant_inst,[status(thm)],[])).
% 7.97/5.48 tff(3247,plain,
% 7.97/5.48 ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB143) <=> (~((~v84(constB143, bitIndex2)) | v84(constB143, bitIndex1) | (~v84(constB143, bitIndex0)))))),
% 7.97/5.48 inference(modus_ponens,[status(thm)],[3246, 3245])).
% 7.97/5.48 tff(3248,plain,
% 7.97/5.48 (v118(constB143) <=> (~((~v84(constB143, bitIndex2)) | v84(constB143, bitIndex1) | (~v84(constB143, bitIndex0))))),
% 7.97/5.48 inference(unit_resolution,[status(thm)],[3247, 960])).
% 7.97/5.48 tff(3249,plain,
% 7.97/5.48 (nextState(constB142, constB143) <=> nextState(constB142, constB143)),
% 7.97/5.48 inference(rewrite,[status(thm)],[])).
% 7.97/5.48 tff(3250,axiom,(nextState(constB142, constB143)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_142')).
% 7.97/5.48 tff(3251,plain,
% 7.97/5.48 (nextState(constB142, constB143)),
% 7.97/5.48 inference(modus_ponens,[status(thm)],[3250, 3249])).
% 7.97/5.48 tff(3252,plain,
% 7.97/5.48 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB142, constB143)) | (v94(constB143) <=> (~((~v104(constB143)) | (~v95(constB143))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB142, constB143)) | (v94(constB143) <=> (~((~v104(constB143)) | (~v95(constB143))))))),
% 7.97/5.48 inference(rewrite,[status(thm)],[])).
% 7.97/5.48 tff(3253,plain,
% 7.97/5.48 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB142, constB143)) | (v94(constB143) <=> (~((~v104(constB143)) | (~v95(constB143))))))),
% 7.97/5.48 inference(quant_inst,[status(thm)],[])).
% 7.97/5.48 tff(3254,plain,
% 7.97/5.48 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB142, constB143)) | (v94(constB143) <=> (~((~v104(constB143)) | (~v95(constB143)))))),
% 7.97/5.48 inference(modus_ponens,[status(thm)],[3253, 3252])).
% 7.97/5.48 tff(3255,plain,
% 7.97/5.48 (v94(constB143) <=> (~((~v104(constB143)) | (~v95(constB143))))),
% 7.97/5.48 inference(unit_resolution,[status(thm)],[3254, 3251, 775])).
% 7.97/5.48 tff(3256,plain,
% 7.97/5.48 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB142, constB143)) | (v95(constB143) <=> (~((~v1(constB143)) | (~v96(constB143))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB142, constB143)) | (v95(constB143) <=> (~((~v1(constB143)) | (~v96(constB143))))))),
% 7.97/5.48 inference(rewrite,[status(thm)],[])).
% 7.97/5.48 tff(3257,plain,
% 7.97/5.48 (((~nextState(constB142, constB143)) | (v95(constB143) <=> (~((~v96(constB143)) | (~v1(constB143)))))) <=> ((~nextState(constB142, constB143)) | (v95(constB143) <=> (~((~v1(constB143)) | (~v96(constB143))))))),
% 7.97/5.48 inference(rewrite,[status(thm)],[])).
% 7.97/5.48 tff(3258,plain,
% 7.97/5.48 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB142, constB143)) | (v95(constB143) <=> (~((~v96(constB143)) | (~v1(constB143))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB142, constB143)) | (v95(constB143) <=> (~((~v1(constB143)) | (~v96(constB143)))))))),
% 7.97/5.48 inference(monotonicity,[status(thm)],[3257])).
% 7.97/5.48 tff(3259,plain,
% 7.97/5.48 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB142, constB143)) | (v95(constB143) <=> (~((~v96(constB143)) | (~v1(constB143))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB142, constB143)) | (v95(constB143) <=> (~((~v1(constB143)) | (~v96(constB143))))))),
% 7.97/5.48 inference(transitivity,[status(thm)],[3258, 3256])).
% 7.97/5.48 tff(3260,plain,
% 7.97/5.48 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB142, constB143)) | (v95(constB143) <=> (~((~v96(constB143)) | (~v1(constB143))))))),
% 7.97/5.48 inference(quant_inst,[status(thm)],[])).
% 7.97/5.48 tff(3261,plain,
% 7.97/5.48 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB142, constB143)) | (v95(constB143) <=> (~((~v1(constB143)) | (~v96(constB143)))))),
% 7.97/5.48 inference(modus_ponens,[status(thm)],[3260, 3259])).
% 7.97/5.48 tff(3262,plain,
% 7.97/5.48 (v95(constB143) <=> (~((~v1(constB143)) | (~v96(constB143))))),
% 7.97/5.48 inference(unit_resolution,[status(thm)],[3261, 3251, 795])).
% 7.97/5.48 tff(3263,plain,
% 7.97/5.48 (((~v1(constB143)) | (~v96(constB143))) | v1(constB143)),
% 7.97/5.48 inference(tautology,[status(thm)],[])).
% 7.97/5.48 tff(3264,plain,
% 7.97/5.48 ((~v1(constB143)) | (~v96(constB143))),
% 7.97/5.48 inference(unit_resolution,[status(thm)],[3263, 3216])).
% 7.97/5.48 tff(3265,plain,
% 7.97/5.48 ((~(v95(constB143) <=> (~((~v1(constB143)) | (~v96(constB143)))))) | (~v95(constB143)) | (~((~v1(constB143)) | (~v96(constB143))))),
% 7.97/5.48 inference(tautology,[status(thm)],[])).
% 7.97/5.48 tff(3266,plain,
% 7.97/5.48 ((~(v95(constB143) <=> (~((~v1(constB143)) | (~v96(constB143)))))) | (~v95(constB143))),
% 7.97/5.48 inference(unit_resolution,[status(thm)],[3265, 3264])).
% 7.97/5.48 tff(3267,plain,
% 7.97/5.48 (~v95(constB143)),
% 7.97/5.48 inference(unit_resolution,[status(thm)],[3266, 3262])).
% 7.97/5.48 tff(3268,plain,
% 7.97/5.48 (((~v104(constB143)) | (~v95(constB143))) | v95(constB143)),
% 7.97/5.48 inference(tautology,[status(thm)],[])).
% 7.97/5.48 tff(3269,plain,
% 7.97/5.48 ((~v104(constB143)) | (~v95(constB143))),
% 7.97/5.48 inference(unit_resolution,[status(thm)],[3268, 3267])).
% 7.97/5.48 tff(3270,plain,
% 7.97/5.48 ((~(v94(constB143) <=> (~((~v104(constB143)) | (~v95(constB143)))))) | (~v94(constB143)) | (~((~v104(constB143)) | (~v95(constB143))))),
% 7.97/5.48 inference(tautology,[status(thm)],[])).
% 7.97/5.48 tff(3271,plain,
% 7.97/5.48 (~v94(constB143)),
% 7.97/5.48 inference(unit_resolution,[status(thm)],[3270, 3269, 3255])).
% 7.97/5.48 tff(3272,plain,
% 7.97/5.48 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB143) | (~nextState(constB142, constB143)) | ![B: $i] : ((~less_3(B)) | (v84(constB143, B) <=> v84(constB142, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB143) | (~nextState(constB142, constB143)) | ![B: $i] : ((~less_3(B)) | (v84(constB143, B) <=> v84(constB142, B))))),
% 7.97/5.48 inference(rewrite,[status(thm)],[])).
% 7.97/5.48 tff(3273,plain,
% 7.97/5.48 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB143) | (~nextState(constB142, constB143)) | ![B: $i] : ((~less_3(B)) | (v84(constB143, B) <=> v84(constB142, B))))),
% 7.97/5.48 inference(quant_inst,[status(thm)],[])).
% 7.97/5.48 tff(3274,plain,
% 7.97/5.48 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB143) | (~nextState(constB142, constB143)) | ![B: $i] : ((~less_3(B)) | (v84(constB143, B) <=> v84(constB142, B)))),
% 7.97/5.48 inference(modus_ponens,[status(thm)],[3273, 3272])).
% 7.97/5.48 tff(3275,plain,
% 7.97/5.48 (v94(constB143) | ![B: $i] : ((~less_3(B)) | (v84(constB143, B) <=> v84(constB142, B)))),
% 7.97/5.48 inference(unit_resolution,[status(thm)],[3274, 3251, 824])).
% 7.97/5.48 tff(3276,plain,
% 7.97/5.48 (![B: $i] : ((~less_3(B)) | (v84(constB143, B) <=> v84(constB142, B)))),
% 7.97/5.48 inference(unit_resolution,[status(thm)],[3275, 3271])).
% 7.97/5.48 tff(3277,plain,
% 7.97/5.48 (((~![B: $i] : ((~less_3(B)) | (v84(constB143, B) <=> v84(constB142, B)))) | ((~less_3(bitIndex2)) | (v84(constB143, bitIndex2) <=> v84(constB142, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB143, B) <=> v84(constB142, B)))) | (~less_3(bitIndex2)) | (v84(constB143, bitIndex2) <=> v84(constB142, bitIndex2)))),
% 7.97/5.48 inference(rewrite,[status(thm)],[])).
% 7.97/5.48 tff(3278,plain,
% 7.97/5.48 ((~![B: $i] : ((~less_3(B)) | (v84(constB143, B) <=> v84(constB142, B)))) | ((~less_3(bitIndex2)) | (v84(constB143, bitIndex2) <=> v84(constB142, bitIndex2)))),
% 7.97/5.48 inference(quant_inst,[status(thm)],[])).
% 7.97/5.48 tff(3279,plain,
% 7.97/5.48 ((~![B: $i] : ((~less_3(B)) | (v84(constB143, B) <=> v84(constB142, B)))) | (~less_3(bitIndex2)) | (v84(constB143, bitIndex2) <=> v84(constB142, bitIndex2))),
% 7.97/5.48 inference(modus_ponens,[status(thm)],[3278, 3277])).
% 7.97/5.48 tff(3280,plain,
% 7.97/5.48 (v84(constB143, bitIndex2) <=> v84(constB142, bitIndex2)),
% 7.97/5.48 inference(unit_resolution,[status(thm)],[3279, 832, 3276])).
% 7.97/5.48 tff(3281,plain,
% 7.97/5.48 (nextState(constB141, constB142) <=> nextState(constB141, constB142)),
% 7.97/5.48 inference(rewrite,[status(thm)],[])).
% 7.97/5.48 tff(3282,axiom,(nextState(constB141, constB142)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_141')).
% 7.97/5.48 tff(3283,plain,
% 7.97/5.48 (nextState(constB141, constB142)),
% 7.97/5.48 inference(modus_ponens,[status(thm)],[3282, 3281])).
% 7.97/5.48 tff(3284,plain,
% 7.97/5.48 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB141, constB142)) | (v94(constB142) <=> (~((~v104(constB142)) | (~v95(constB142))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB141, constB142)) | (v94(constB142) <=> (~((~v104(constB142)) | (~v95(constB142))))))),
% 7.97/5.48 inference(rewrite,[status(thm)],[])).
% 7.97/5.48 tff(3285,plain,
% 7.97/5.48 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB141, constB142)) | (v94(constB142) <=> (~((~v104(constB142)) | (~v95(constB142))))))),
% 7.97/5.48 inference(quant_inst,[status(thm)],[])).
% 7.97/5.48 tff(3286,plain,
% 7.97/5.48 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB141, constB142)) | (v94(constB142) <=> (~((~v104(constB142)) | (~v95(constB142)))))),
% 7.97/5.48 inference(modus_ponens,[status(thm)],[3285, 3284])).
% 7.97/5.48 tff(3287,plain,
% 7.97/5.48 (v94(constB142) <=> (~((~v104(constB142)) | (~v95(constB142))))),
% 7.97/5.48 inference(unit_resolution,[status(thm)],[3286, 3283, 775])).
% 7.97/5.48 tff(3288,plain,
% 7.97/5.48 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB141, constB142)) | (v95(constB142) <=> (~((~v1(constB142)) | (~v96(constB142))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB141, constB142)) | (v95(constB142) <=> (~((~v1(constB142)) | (~v96(constB142))))))),
% 7.97/5.48 inference(rewrite,[status(thm)],[])).
% 7.97/5.48 tff(3289,plain,
% 7.97/5.48 (((~nextState(constB141, constB142)) | (v95(constB142) <=> (~((~v96(constB142)) | (~v1(constB142)))))) <=> ((~nextState(constB141, constB142)) | (v95(constB142) <=> (~((~v1(constB142)) | (~v96(constB142))))))),
% 7.97/5.48 inference(rewrite,[status(thm)],[])).
% 7.97/5.48 tff(3290,plain,
% 7.97/5.48 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB141, constB142)) | (v95(constB142) <=> (~((~v96(constB142)) | (~v1(constB142))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB141, constB142)) | (v95(constB142) <=> (~((~v1(constB142)) | (~v96(constB142)))))))),
% 7.97/5.48 inference(monotonicity,[status(thm)],[3289])).
% 7.97/5.48 tff(3291,plain,
% 7.97/5.48 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB141, constB142)) | (v95(constB142) <=> (~((~v96(constB142)) | (~v1(constB142))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB141, constB142)) | (v95(constB142) <=> (~((~v1(constB142)) | (~v96(constB142))))))),
% 7.97/5.48 inference(transitivity,[status(thm)],[3290, 3288])).
% 7.97/5.48 tff(3292,plain,
% 7.97/5.48 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB141, constB142)) | (v95(constB142) <=> (~((~v96(constB142)) | (~v1(constB142))))))),
% 7.97/5.48 inference(quant_inst,[status(thm)],[])).
% 7.97/5.48 tff(3293,plain,
% 7.97/5.48 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB141, constB142)) | (v95(constB142) <=> (~((~v1(constB142)) | (~v96(constB142)))))),
% 7.97/5.48 inference(modus_ponens,[status(thm)],[3292, 3291])).
% 7.97/5.48 tff(3294,plain,
% 7.97/5.48 (v95(constB142) <=> (~((~v1(constB142)) | (~v96(constB142))))),
% 7.97/5.48 inference(unit_resolution,[status(thm)],[3293, 3283, 795])).
% 7.97/5.48 tff(3295,plain,
% 7.97/5.48 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB141, constB142)) | ((~v96(constB142)) <=> v98(constB142)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB141, constB142)) | ((~v96(constB142)) <=> v98(constB142)))),
% 7.97/5.48 inference(rewrite,[status(thm)],[])).
% 7.97/5.48 tff(3296,plain,
% 7.97/5.48 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB141, constB142)) | ((~v96(constB142)) <=> v98(constB142)))),
% 7.97/5.48 inference(quant_inst,[status(thm)],[])).
% 7.97/5.48 tff(3297,plain,
% 7.97/5.48 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB141, constB142)) | ((~v96(constB142)) <=> v98(constB142))),
% 7.97/5.48 inference(modus_ponens,[status(thm)],[3296, 3295])).
% 7.97/5.48 tff(3298,plain,
% 7.97/5.48 ((~v96(constB142)) <=> v98(constB142)),
% 7.97/5.48 inference(unit_resolution,[status(thm)],[3297, 3283, 860])).
% 7.97/5.48 tff(3299,plain,
% 7.97/5.48 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB141, constB142)) | (v98(constB142) <=> v1(constB141)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB141, constB142)) | (v98(constB142) <=> v1(constB141)))),
% 7.97/5.48 inference(rewrite,[status(thm)],[])).
% 7.97/5.48 tff(3300,plain,
% 7.97/5.48 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB141, constB142)) | (v98(constB142) <=> v1(constB141)))),
% 7.97/5.48 inference(quant_inst,[status(thm)],[])).
% 7.97/5.48 tff(3301,plain,
% 7.97/5.48 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB141, constB142)) | (v98(constB142) <=> v1(constB141))),
% 7.97/5.48 inference(modus_ponens,[status(thm)],[3300, 3299])).
% 7.97/5.48 tff(3302,plain,
% 7.97/5.48 (v98(constB142) <=> v1(constB141)),
% 7.97/5.48 inference(unit_resolution,[status(thm)],[3301, 3283, 874])).
% 7.97/5.48 tff(3303,plain,
% 7.97/5.48 ((~v1(constB141)) <=> (~v1(constB141))),
% 7.97/5.48 inference(rewrite,[status(thm)],[])).
% 7.97/5.48 tff(3304,axiom,(~v1(constB141)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_141')).
% 7.97/5.48 tff(3305,plain,
% 7.97/5.48 (~v1(constB141)),
% 7.97/5.48 inference(modus_ponens,[status(thm)],[3304, 3303])).
% 7.97/5.48 tff(3306,plain,
% 7.97/5.48 ((~(v98(constB142) <=> v1(constB141))) | (~v98(constB142)) | v1(constB141)),
% 7.97/5.48 inference(tautology,[status(thm)],[])).
% 7.97/5.49 tff(3307,plain,
% 7.97/5.49 ((~(v98(constB142) <=> v1(constB141))) | (~v98(constB142))),
% 7.97/5.49 inference(unit_resolution,[status(thm)],[3306, 3305])).
% 7.97/5.49 tff(3308,plain,
% 7.97/5.49 (~v98(constB142)),
% 7.97/5.49 inference(unit_resolution,[status(thm)],[3307, 3302])).
% 7.97/5.49 tff(3309,plain,
% 7.97/5.49 ((~((~v96(constB142)) <=> v98(constB142))) | v96(constB142) | v98(constB142)),
% 7.97/5.49 inference(tautology,[status(thm)],[])).
% 7.97/5.49 tff(3310,plain,
% 7.97/5.49 (v96(constB142)),
% 7.97/5.49 inference(unit_resolution,[status(thm)],[3309, 3308, 3298])).
% 7.97/5.49 tff(3311,plain,
% 7.97/5.49 (v1(constB142) <=> v1(constB142)),
% 7.97/5.49 inference(rewrite,[status(thm)],[])).
% 7.97/5.49 tff(3312,axiom,(v1(constB142)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_142')).
% 7.97/5.49 tff(3313,plain,
% 7.97/5.49 (v1(constB142)),
% 7.97/5.49 inference(modus_ponens,[status(thm)],[3312, 3311])).
% 7.97/5.49 tff(3314,plain,
% 7.97/5.49 ((~((~v1(constB142)) | (~v96(constB142)))) | (~v1(constB142)) | (~v96(constB142))),
% 7.97/5.49 inference(tautology,[status(thm)],[])).
% 7.97/5.49 tff(3315,plain,
% 7.97/5.49 ((~((~v1(constB142)) | (~v96(constB142)))) | (~v96(constB142))),
% 7.97/5.49 inference(unit_resolution,[status(thm)],[3314, 3313])).
% 7.97/5.49 tff(3316,plain,
% 7.97/5.49 (~((~v1(constB142)) | (~v96(constB142)))),
% 7.97/5.49 inference(unit_resolution,[status(thm)],[3315, 3310])).
% 7.97/5.49 tff(3317,plain,
% 7.97/5.49 ((~(v95(constB142) <=> (~((~v1(constB142)) | (~v96(constB142)))))) | v95(constB142) | ((~v1(constB142)) | (~v96(constB142)))),
% 7.97/5.49 inference(tautology,[status(thm)],[])).
% 7.97/5.49 tff(3318,plain,
% 7.97/5.49 (v95(constB142)),
% 7.97/5.49 inference(unit_resolution,[status(thm)],[3317, 3316, 3294])).
% 7.97/5.49 tff(3319,plain,
% 7.97/5.49 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB141, constB142)) | (v104(constB142) <=> v102(constB141)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB141, constB142)) | (v104(constB142) <=> v102(constB141)))),
% 7.97/5.49 inference(rewrite,[status(thm)],[])).
% 7.97/5.49 tff(3320,plain,
% 7.97/5.49 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB141, constB142)) | (v104(constB142) <=> v102(constB141)))),
% 7.97/5.49 inference(quant_inst,[status(thm)],[])).
% 7.97/5.49 tff(3321,plain,
% 7.97/5.49 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB141, constB142)) | (v104(constB142) <=> v102(constB141))),
% 7.97/5.49 inference(modus_ponens,[status(thm)],[3320, 3319])).
% 7.97/5.49 tff(3322,plain,
% 7.97/5.49 (v104(constB142) <=> v102(constB141)),
% 7.97/5.49 inference(unit_resolution,[status(thm)],[3321, 3283, 904])).
% 7.97/5.49 tff(3323,plain,
% 7.97/5.49 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB141) <=> (v105(constB141) | v106(constB141)))),
% 7.97/5.49 inference(quant_inst,[status(thm)],[])).
% 7.97/5.49 tff(3324,plain,
% 7.97/5.49 (v102(constB141) <=> (v105(constB141) | v106(constB141))),
% 7.97/5.49 inference(unit_resolution,[status(thm)],[3323, 915])).
% 7.97/5.49 tff(3325,plain,
% 7.97/5.49 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB141) <=> (~((~v107(constB141)) | (~v120(constB141)))))),
% 7.97/5.49 inference(quant_inst,[status(thm)],[])).
% 7.97/5.49 tff(3326,plain,
% 7.97/5.49 (v106(constB141) <=> (~((~v107(constB141)) | (~v120(constB141))))),
% 7.97/5.49 inference(unit_resolution,[status(thm)],[3325, 927])).
% 7.97/5.49 tff(3327,plain,
% 7.97/5.49 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB141) <=> (v108(constB141) | v119(constB141)))),
% 7.97/5.49 inference(quant_inst,[status(thm)],[])).
% 7.97/5.49 tff(3328,plain,
% 7.97/5.49 (v107(constB141) <=> (v108(constB141) | v119(constB141))),
% 7.97/5.49 inference(unit_resolution,[status(thm)],[3327, 936])).
% 7.97/5.49 tff(3329,plain,
% 7.97/5.49 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB141) <=> (v109(constB141) | v118(constB141)))),
% 7.97/5.49 inference(quant_inst,[status(thm)],[])).
% 7.97/5.49 tff(3330,plain,
% 7.97/5.49 (v108(constB141) <=> (v109(constB141) | v118(constB141))),
% 7.97/5.49 inference(unit_resolution,[status(thm)],[3329, 945])).
% 7.97/5.49 tff(3331,plain,
% 7.97/5.49 ((~![VarCurr: $i] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB141) <=> (v110(constB141) | v117(constB141)))),
% 7.97/5.49 inference(quant_inst,[status(thm)],[])).
% 7.97/5.49 tff(3332,plain,
% 7.97/5.49 (v109(constB141) <=> (v110(constB141) | v117(constB141))),
% 7.97/5.49 inference(unit_resolution,[status(thm)],[3331, 1056])).
% 7.97/5.49 tff(3333,plain,
% 7.97/5.49 (((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB141) <=> (~((~v84(constB141, bitIndex2)) | v84(constB141, bitIndex1) | v84(constB141, bitIndex0))))) <=> ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB141) <=> (~((~v84(constB141, bitIndex2)) | v84(constB141, bitIndex1) | v84(constB141, bitIndex0)))))),
% 7.97/5.49 inference(rewrite,[status(thm)],[])).
% 7.97/5.49 tff(3334,plain,
% 7.97/5.49 ((v117(constB141) <=> (~(v84(constB141, bitIndex0) | v84(constB141, bitIndex1) | (~v84(constB141, bitIndex2))))) <=> (v117(constB141) <=> (~((~v84(constB141, bitIndex2)) | v84(constB141, bitIndex1) | v84(constB141, bitIndex0))))),
% 7.97/5.49 inference(rewrite,[status(thm)],[])).
% 7.97/5.49 tff(3335,plain,
% 7.97/5.49 (((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB141) <=> (~(v84(constB141, bitIndex0) | v84(constB141, bitIndex1) | (~v84(constB141, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB141) <=> (~((~v84(constB141, bitIndex2)) | v84(constB141, bitIndex1) | v84(constB141, bitIndex0)))))),
% 7.97/5.49 inference(monotonicity,[status(thm)],[3334])).
% 7.97/5.49 tff(3336,plain,
% 7.97/5.49 (((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB141) <=> (~(v84(constB141, bitIndex0) | v84(constB141, bitIndex1) | (~v84(constB141, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB141) <=> (~((~v84(constB141, bitIndex2)) | v84(constB141, bitIndex1) | v84(constB141, bitIndex0)))))),
% 7.97/5.49 inference(transitivity,[status(thm)],[3335, 3333])).
% 7.97/5.49 tff(3337,plain,
% 7.97/5.49 ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB141) <=> (~(v84(constB141, bitIndex0) | v84(constB141, bitIndex1) | (~v84(constB141, bitIndex2)))))),
% 7.97/5.49 inference(quant_inst,[status(thm)],[])).
% 7.97/5.49 tff(3338,plain,
% 7.97/5.49 ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB141) <=> (~((~v84(constB141, bitIndex2)) | v84(constB141, bitIndex1) | v84(constB141, bitIndex0))))),
% 7.97/5.49 inference(modus_ponens,[status(thm)],[3337, 3336])).
% 7.97/5.49 tff(3339,plain,
% 7.97/5.49 (v117(constB141) <=> (~((~v84(constB141, bitIndex2)) | v84(constB141, bitIndex1) | v84(constB141, bitIndex0)))),
% 7.97/5.49 inference(unit_resolution,[status(thm)],[3338, 1071])).
% 7.97/5.49 tff(3340,plain,
% 7.97/5.49 (nextState(constB140, constB141) <=> nextState(constB140, constB141)),
% 7.97/5.49 inference(rewrite,[status(thm)],[])).
% 7.97/5.49 tff(3341,axiom,(nextState(constB140, constB141)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_140')).
% 7.97/5.49 tff(3342,plain,
% 7.97/5.49 (nextState(constB140, constB141)),
% 7.97/5.49 inference(modus_ponens,[status(thm)],[3341, 3340])).
% 7.97/5.49 tff(3343,plain,
% 7.97/5.49 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB140, constB141)) | (v94(constB141) <=> (~((~v104(constB141)) | (~v95(constB141))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB140, constB141)) | (v94(constB141) <=> (~((~v104(constB141)) | (~v95(constB141))))))),
% 7.97/5.49 inference(rewrite,[status(thm)],[])).
% 7.97/5.49 tff(3344,plain,
% 7.97/5.49 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB140, constB141)) | (v94(constB141) <=> (~((~v104(constB141)) | (~v95(constB141))))))),
% 7.97/5.49 inference(quant_inst,[status(thm)],[])).
% 7.97/5.49 tff(3345,plain,
% 7.97/5.49 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB140, constB141)) | (v94(constB141) <=> (~((~v104(constB141)) | (~v95(constB141)))))),
% 7.97/5.49 inference(modus_ponens,[status(thm)],[3344, 3343])).
% 7.97/5.49 tff(3346,plain,
% 7.97/5.49 (v94(constB141) <=> (~((~v104(constB141)) | (~v95(constB141))))),
% 7.97/5.49 inference(unit_resolution,[status(thm)],[3345, 3342, 775])).
% 7.97/5.49 tff(3347,plain,
% 7.97/5.49 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB140, constB141)) | (v95(constB141) <=> (~((~v1(constB141)) | (~v96(constB141))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB140, constB141)) | (v95(constB141) <=> (~((~v1(constB141)) | (~v96(constB141))))))),
% 7.97/5.49 inference(rewrite,[status(thm)],[])).
% 7.97/5.49 tff(3348,plain,
% 7.97/5.49 (((~nextState(constB140, constB141)) | (v95(constB141) <=> (~((~v96(constB141)) | (~v1(constB141)))))) <=> ((~nextState(constB140, constB141)) | (v95(constB141) <=> (~((~v1(constB141)) | (~v96(constB141))))))),
% 7.97/5.49 inference(rewrite,[status(thm)],[])).
% 7.97/5.49 tff(3349,plain,
% 7.97/5.49 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB140, constB141)) | (v95(constB141) <=> (~((~v96(constB141)) | (~v1(constB141))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB140, constB141)) | (v95(constB141) <=> (~((~v1(constB141)) | (~v96(constB141)))))))),
% 7.97/5.49 inference(monotonicity,[status(thm)],[3348])).
% 7.97/5.49 tff(3350,plain,
% 7.97/5.49 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB140, constB141)) | (v95(constB141) <=> (~((~v96(constB141)) | (~v1(constB141))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB140, constB141)) | (v95(constB141) <=> (~((~v1(constB141)) | (~v96(constB141))))))),
% 7.97/5.49 inference(transitivity,[status(thm)],[3349, 3347])).
% 7.97/5.49 tff(3351,plain,
% 7.97/5.49 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB140, constB141)) | (v95(constB141) <=> (~((~v96(constB141)) | (~v1(constB141))))))),
% 7.97/5.49 inference(quant_inst,[status(thm)],[])).
% 7.97/5.49 tff(3352,plain,
% 7.97/5.49 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB140, constB141)) | (v95(constB141) <=> (~((~v1(constB141)) | (~v96(constB141)))))),
% 7.97/5.49 inference(modus_ponens,[status(thm)],[3351, 3350])).
% 7.97/5.49 tff(3353,plain,
% 7.97/5.49 (v95(constB141) <=> (~((~v1(constB141)) | (~v96(constB141))))),
% 7.97/5.49 inference(unit_resolution,[status(thm)],[3352, 3342, 795])).
% 7.97/5.49 tff(3354,plain,
% 7.97/5.49 (((~v1(constB141)) | (~v96(constB141))) | v1(constB141)),
% 7.97/5.49 inference(tautology,[status(thm)],[])).
% 7.97/5.49 tff(3355,plain,
% 7.97/5.49 ((~v1(constB141)) | (~v96(constB141))),
% 7.97/5.49 inference(unit_resolution,[status(thm)],[3354, 3305])).
% 7.97/5.49 tff(3356,plain,
% 7.97/5.49 ((~(v95(constB141) <=> (~((~v1(constB141)) | (~v96(constB141)))))) | (~v95(constB141)) | (~((~v1(constB141)) | (~v96(constB141))))),
% 7.97/5.49 inference(tautology,[status(thm)],[])).
% 7.97/5.49 tff(3357,plain,
% 7.97/5.49 ((~(v95(constB141) <=> (~((~v1(constB141)) | (~v96(constB141)))))) | (~v95(constB141))),
% 7.97/5.49 inference(unit_resolution,[status(thm)],[3356, 3355])).
% 7.97/5.49 tff(3358,plain,
% 7.97/5.49 (~v95(constB141)),
% 7.97/5.49 inference(unit_resolution,[status(thm)],[3357, 3353])).
% 7.97/5.49 tff(3359,plain,
% 7.97/5.49 (((~v104(constB141)) | (~v95(constB141))) | v95(constB141)),
% 7.97/5.49 inference(tautology,[status(thm)],[])).
% 7.97/5.49 tff(3360,plain,
% 7.97/5.49 ((~v104(constB141)) | (~v95(constB141))),
% 7.97/5.49 inference(unit_resolution,[status(thm)],[3359, 3358])).
% 7.97/5.49 tff(3361,plain,
% 7.97/5.49 ((~(v94(constB141) <=> (~((~v104(constB141)) | (~v95(constB141)))))) | (~v94(constB141)) | (~((~v104(constB141)) | (~v95(constB141))))),
% 7.97/5.49 inference(tautology,[status(thm)],[])).
% 7.97/5.49 tff(3362,plain,
% 7.97/5.49 (~v94(constB141)),
% 7.97/5.49 inference(unit_resolution,[status(thm)],[3361, 3360, 3346])).
% 7.97/5.49 tff(3363,plain,
% 7.97/5.49 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB141) | (~nextState(constB140, constB141)) | ![B: $i] : ((~less_3(B)) | (v84(constB141, B) <=> v84(constB140, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB141) | (~nextState(constB140, constB141)) | ![B: $i] : ((~less_3(B)) | (v84(constB141, B) <=> v84(constB140, B))))),
% 7.97/5.49 inference(rewrite,[status(thm)],[])).
% 7.97/5.49 tff(3364,plain,
% 7.97/5.49 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB141) | (~nextState(constB140, constB141)) | ![B: $i] : ((~less_3(B)) | (v84(constB141, B) <=> v84(constB140, B))))),
% 7.97/5.49 inference(quant_inst,[status(thm)],[])).
% 7.97/5.49 tff(3365,plain,
% 7.97/5.49 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB141) | (~nextState(constB140, constB141)) | ![B: $i] : ((~less_3(B)) | (v84(constB141, B) <=> v84(constB140, B)))),
% 7.97/5.49 inference(modus_ponens,[status(thm)],[3364, 3363])).
% 7.97/5.49 tff(3366,plain,
% 7.97/5.49 (v94(constB141) | ![B: $i] : ((~less_3(B)) | (v84(constB141, B) <=> v84(constB140, B)))),
% 7.97/5.49 inference(unit_resolution,[status(thm)],[3365, 3342, 824])).
% 7.97/5.49 tff(3367,plain,
% 7.97/5.49 (![B: $i] : ((~less_3(B)) | (v84(constB141, B) <=> v84(constB140, B)))),
% 7.97/5.49 inference(unit_resolution,[status(thm)],[3366, 3362])).
% 7.97/5.49 tff(3368,plain,
% 7.97/5.49 (((~![B: $i] : ((~less_3(B)) | (v84(constB141, B) <=> v84(constB140, B)))) | ((~less_3(bitIndex2)) | (v84(constB141, bitIndex2) <=> v84(constB140, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB141, B) <=> v84(constB140, B)))) | (~less_3(bitIndex2)) | (v84(constB141, bitIndex2) <=> v84(constB140, bitIndex2)))),
% 7.97/5.49 inference(rewrite,[status(thm)],[])).
% 7.97/5.49 tff(3369,plain,
% 7.97/5.49 ((~![B: $i] : ((~less_3(B)) | (v84(constB141, B) <=> v84(constB140, B)))) | ((~less_3(bitIndex2)) | (v84(constB141, bitIndex2) <=> v84(constB140, bitIndex2)))),
% 7.97/5.49 inference(quant_inst,[status(thm)],[])).
% 7.97/5.49 tff(3370,plain,
% 7.97/5.49 ((~![B: $i] : ((~less_3(B)) | (v84(constB141, B) <=> v84(constB140, B)))) | (~less_3(bitIndex2)) | (v84(constB141, bitIndex2) <=> v84(constB140, bitIndex2))),
% 7.97/5.49 inference(modus_ponens,[status(thm)],[3369, 3368])).
% 7.97/5.49 tff(3371,plain,
% 7.97/5.49 (v84(constB141, bitIndex2) <=> v84(constB140, bitIndex2)),
% 7.97/5.49 inference(unit_resolution,[status(thm)],[3370, 832, 3367])).
% 7.97/5.49 tff(3372,plain,
% 7.97/5.49 (nextState(constB139, constB140) <=> nextState(constB139, constB140)),
% 7.97/5.49 inference(rewrite,[status(thm)],[])).
% 7.97/5.49 tff(3373,axiom,(nextState(constB139, constB140)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_139')).
% 7.97/5.49 tff(3374,plain,
% 7.97/5.49 (nextState(constB139, constB140)),
% 7.97/5.49 inference(modus_ponens,[status(thm)],[3373, 3372])).
% 7.97/5.49 tff(3375,plain,
% 7.97/5.49 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB139, constB140)) | (v94(constB140) <=> (~((~v104(constB140)) | (~v95(constB140))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB139, constB140)) | (v94(constB140) <=> (~((~v104(constB140)) | (~v95(constB140))))))),
% 7.97/5.49 inference(rewrite,[status(thm)],[])).
% 7.97/5.49 tff(3376,plain,
% 7.97/5.49 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB139, constB140)) | (v94(constB140) <=> (~((~v104(constB140)) | (~v95(constB140))))))),
% 7.97/5.49 inference(quant_inst,[status(thm)],[])).
% 7.97/5.49 tff(3377,plain,
% 7.97/5.49 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB139, constB140)) | (v94(constB140) <=> (~((~v104(constB140)) | (~v95(constB140)))))),
% 7.97/5.49 inference(modus_ponens,[status(thm)],[3376, 3375])).
% 7.97/5.49 tff(3378,plain,
% 7.97/5.49 (v94(constB140) <=> (~((~v104(constB140)) | (~v95(constB140))))),
% 7.97/5.49 inference(unit_resolution,[status(thm)],[3377, 3374, 775])).
% 7.97/5.49 tff(3379,plain,
% 7.97/5.49 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB139, constB140)) | (v95(constB140) <=> (~((~v1(constB140)) | (~v96(constB140))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB139, constB140)) | (v95(constB140) <=> (~((~v1(constB140)) | (~v96(constB140))))))),
% 7.97/5.49 inference(rewrite,[status(thm)],[])).
% 7.97/5.49 tff(3380,plain,
% 7.97/5.49 (((~nextState(constB139, constB140)) | (v95(constB140) <=> (~((~v96(constB140)) | (~v1(constB140)))))) <=> ((~nextState(constB139, constB140)) | (v95(constB140) <=> (~((~v1(constB140)) | (~v96(constB140))))))),
% 7.97/5.49 inference(rewrite,[status(thm)],[])).
% 7.97/5.49 tff(3381,plain,
% 7.97/5.49 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB139, constB140)) | (v95(constB140) <=> (~((~v96(constB140)) | (~v1(constB140))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB139, constB140)) | (v95(constB140) <=> (~((~v1(constB140)) | (~v96(constB140)))))))),
% 7.97/5.49 inference(monotonicity,[status(thm)],[3380])).
% 7.97/5.49 tff(3382,plain,
% 7.97/5.49 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB139, constB140)) | (v95(constB140) <=> (~((~v96(constB140)) | (~v1(constB140))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB139, constB140)) | (v95(constB140) <=> (~((~v1(constB140)) | (~v96(constB140))))))),
% 7.97/5.49 inference(transitivity,[status(thm)],[3381, 3379])).
% 7.97/5.49 tff(3383,plain,
% 7.97/5.49 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB139, constB140)) | (v95(constB140) <=> (~((~v96(constB140)) | (~v1(constB140))))))),
% 7.97/5.49 inference(quant_inst,[status(thm)],[])).
% 7.97/5.49 tff(3384,plain,
% 7.97/5.49 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB139, constB140)) | (v95(constB140) <=> (~((~v1(constB140)) | (~v96(constB140)))))),
% 7.97/5.49 inference(modus_ponens,[status(thm)],[3383, 3382])).
% 7.97/5.49 tff(3385,plain,
% 7.97/5.49 (v95(constB140) <=> (~((~v1(constB140)) | (~v96(constB140))))),
% 7.97/5.49 inference(unit_resolution,[status(thm)],[3384, 3374, 795])).
% 7.97/5.49 tff(3386,plain,
% 7.97/5.49 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB139, constB140)) | ((~v96(constB140)) <=> v98(constB140)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB139, constB140)) | ((~v96(constB140)) <=> v98(constB140)))),
% 7.97/5.49 inference(rewrite,[status(thm)],[])).
% 7.97/5.49 tff(3387,plain,
% 7.97/5.49 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB139, constB140)) | ((~v96(constB140)) <=> v98(constB140)))),
% 7.97/5.49 inference(quant_inst,[status(thm)],[])).
% 7.97/5.49 tff(3388,plain,
% 7.97/5.49 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB139, constB140)) | ((~v96(constB140)) <=> v98(constB140))),
% 7.97/5.49 inference(modus_ponens,[status(thm)],[3387, 3386])).
% 7.97/5.49 tff(3389,plain,
% 7.97/5.49 ((~v96(constB140)) <=> v98(constB140)),
% 7.97/5.49 inference(unit_resolution,[status(thm)],[3388, 3374, 860])).
% 7.97/5.49 tff(3390,plain,
% 7.97/5.49 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB139, constB140)) | (v98(constB140) <=> v1(constB139)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB139, constB140)) | (v98(constB140) <=> v1(constB139)))),
% 7.97/5.49 inference(rewrite,[status(thm)],[])).
% 7.97/5.49 tff(3391,plain,
% 7.97/5.49 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB139, constB140)) | (v98(constB140) <=> v1(constB139)))),
% 7.97/5.49 inference(quant_inst,[status(thm)],[])).
% 7.97/5.49 tff(3392,plain,
% 7.97/5.49 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB139, constB140)) | (v98(constB140) <=> v1(constB139))),
% 7.97/5.49 inference(modus_ponens,[status(thm)],[3391, 3390])).
% 7.97/5.49 tff(3393,plain,
% 7.97/5.49 (v98(constB140) <=> v1(constB139)),
% 7.97/5.49 inference(unit_resolution,[status(thm)],[3392, 3374, 874])).
% 7.97/5.49 tff(3394,plain,
% 7.97/5.49 ((~v1(constB139)) <=> (~v1(constB139))),
% 7.97/5.49 inference(rewrite,[status(thm)],[])).
% 7.97/5.49 tff(3395,axiom,(~v1(constB139)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_139')).
% 7.97/5.49 tff(3396,plain,
% 7.97/5.49 (~v1(constB139)),
% 7.97/5.49 inference(modus_ponens,[status(thm)],[3395, 3394])).
% 7.97/5.49 tff(3397,plain,
% 7.97/5.49 ((~(v98(constB140) <=> v1(constB139))) | (~v98(constB140)) | v1(constB139)),
% 7.97/5.49 inference(tautology,[status(thm)],[])).
% 7.97/5.49 tff(3398,plain,
% 7.97/5.49 ((~(v98(constB140) <=> v1(constB139))) | (~v98(constB140))),
% 7.97/5.49 inference(unit_resolution,[status(thm)],[3397, 3396])).
% 7.97/5.49 tff(3399,plain,
% 7.97/5.49 (~v98(constB140)),
% 7.97/5.49 inference(unit_resolution,[status(thm)],[3398, 3393])).
% 7.97/5.49 tff(3400,plain,
% 7.97/5.49 ((~((~v96(constB140)) <=> v98(constB140))) | v96(constB140) | v98(constB140)),
% 7.97/5.49 inference(tautology,[status(thm)],[])).
% 7.97/5.49 tff(3401,plain,
% 7.97/5.49 (v96(constB140)),
% 7.97/5.49 inference(unit_resolution,[status(thm)],[3400, 3399, 3389])).
% 7.97/5.49 tff(3402,plain,
% 7.97/5.49 (v1(constB140) <=> v1(constB140)),
% 7.97/5.49 inference(rewrite,[status(thm)],[])).
% 7.97/5.49 tff(3403,axiom,(v1(constB140)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_140')).
% 7.97/5.49 tff(3404,plain,
% 7.97/5.49 (v1(constB140)),
% 7.97/5.49 inference(modus_ponens,[status(thm)],[3403, 3402])).
% 7.97/5.49 tff(3405,plain,
% 7.97/5.49 ((~((~v1(constB140)) | (~v96(constB140)))) | (~v1(constB140)) | (~v96(constB140))),
% 7.97/5.49 inference(tautology,[status(thm)],[])).
% 7.97/5.49 tff(3406,plain,
% 7.97/5.49 ((~((~v1(constB140)) | (~v96(constB140)))) | (~v96(constB140))),
% 7.97/5.49 inference(unit_resolution,[status(thm)],[3405, 3404])).
% 7.97/5.49 tff(3407,plain,
% 7.97/5.49 (~((~v1(constB140)) | (~v96(constB140)))),
% 7.97/5.49 inference(unit_resolution,[status(thm)],[3406, 3401])).
% 7.97/5.49 tff(3408,plain,
% 7.97/5.49 ((~(v95(constB140) <=> (~((~v1(constB140)) | (~v96(constB140)))))) | v95(constB140) | ((~v1(constB140)) | (~v96(constB140)))),
% 7.97/5.49 inference(tautology,[status(thm)],[])).
% 7.97/5.49 tff(3409,plain,
% 7.97/5.49 (v95(constB140)),
% 7.97/5.49 inference(unit_resolution,[status(thm)],[3408, 3407, 3385])).
% 7.97/5.49 tff(3410,plain,
% 7.97/5.49 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB139, constB140)) | (v104(constB140) <=> v102(constB139)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB139, constB140)) | (v104(constB140) <=> v102(constB139)))),
% 7.97/5.49 inference(rewrite,[status(thm)],[])).
% 7.97/5.49 tff(3411,plain,
% 7.97/5.49 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB139, constB140)) | (v104(constB140) <=> v102(constB139)))),
% 7.97/5.49 inference(quant_inst,[status(thm)],[])).
% 7.97/5.49 tff(3412,plain,
% 7.97/5.49 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB139, constB140)) | (v104(constB140) <=> v102(constB139))),
% 7.97/5.49 inference(modus_ponens,[status(thm)],[3411, 3410])).
% 7.97/5.49 tff(3413,plain,
% 7.97/5.49 (v104(constB140) <=> v102(constB139)),
% 7.97/5.49 inference(unit_resolution,[status(thm)],[3412, 3374, 904])).
% 7.97/5.49 tff(3414,plain,
% 7.97/5.49 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB139) <=> (v105(constB139) | v106(constB139)))),
% 7.97/5.49 inference(quant_inst,[status(thm)],[])).
% 7.97/5.49 tff(3415,plain,
% 7.97/5.49 (v102(constB139) <=> (v105(constB139) | v106(constB139))),
% 7.97/5.49 inference(unit_resolution,[status(thm)],[3414, 915])).
% 7.97/5.49 tff(3416,plain,
% 7.97/5.49 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB139) <=> (~((~v107(constB139)) | (~v120(constB139)))))),
% 7.97/5.49 inference(quant_inst,[status(thm)],[])).
% 7.97/5.49 tff(3417,plain,
% 7.97/5.49 (v106(constB139) <=> (~((~v107(constB139)) | (~v120(constB139))))),
% 7.97/5.49 inference(unit_resolution,[status(thm)],[3416, 927])).
% 7.97/5.49 tff(3418,plain,
% 7.97/5.49 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB139) <=> (v108(constB139) | v119(constB139)))),
% 7.97/5.49 inference(quant_inst,[status(thm)],[])).
% 7.97/5.49 tff(3419,plain,
% 7.97/5.49 (v107(constB139) <=> (v108(constB139) | v119(constB139))),
% 7.97/5.49 inference(unit_resolution,[status(thm)],[3418, 936])).
% 7.97/5.49 tff(3420,plain,
% 7.97/5.49 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB139) <=> (v109(constB139) | v118(constB139)))),
% 7.97/5.49 inference(quant_inst,[status(thm)],[])).
% 7.97/5.49 tff(3421,plain,
% 7.97/5.49 (v108(constB139) <=> (v109(constB139) | v118(constB139))),
% 7.97/5.49 inference(unit_resolution,[status(thm)],[3420, 945])).
% 7.97/5.49 tff(3422,plain,
% 7.97/5.49 ((~![VarCurr: $i] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB139) <=> (v110(constB139) | v117(constB139)))),
% 7.97/5.49 inference(quant_inst,[status(thm)],[])).
% 7.97/5.49 tff(3423,plain,
% 7.97/5.49 (v109(constB139) <=> (v110(constB139) | v117(constB139))),
% 7.97/5.49 inference(unit_resolution,[status(thm)],[3422, 1056])).
% 7.97/5.49 tff(3424,plain,
% 7.97/5.49 ((~![VarCurr: $i] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB139) <=> (v111(constB139) | v116(constB139)))),
% 7.97/5.49 inference(quant_inst,[status(thm)],[])).
% 7.97/5.49 tff(3425,plain,
% 7.97/5.49 (v110(constB139) <=> (v111(constB139) | v116(constB139))),
% 7.97/5.49 inference(unit_resolution,[status(thm)],[3424, 1169])).
% 7.97/5.49 tff(3426,plain,
% 7.97/5.49 ((~![VarCurr: $i] : (v116(VarCurr) <=> (~(v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex0)))))) | (v116(constB139) <=> (~(v84(constB139, bitIndex2) | (~v84(constB139, bitIndex1)) | (~v84(constB139, bitIndex0)))))),
% 7.97/5.49 inference(quant_inst,[status(thm)],[])).
% 7.97/5.49 tff(3427,plain,
% 7.97/5.49 (v116(constB139) <=> (~(v84(constB139, bitIndex2) | (~v84(constB139, bitIndex1)) | (~v84(constB139, bitIndex0))))),
% 7.97/5.49 inference(unit_resolution,[status(thm)],[3426, 1184])).
% 7.97/5.49 tff(3428,plain,
% 7.97/5.49 (nextState(constB138, constB139) <=> nextState(constB138, constB139)),
% 7.97/5.49 inference(rewrite,[status(thm)],[])).
% 7.97/5.49 tff(3429,axiom,(nextState(constB138, constB139)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_138')).
% 7.97/5.49 tff(3430,plain,
% 7.97/5.49 (nextState(constB138, constB139)),
% 7.97/5.49 inference(modus_ponens,[status(thm)],[3429, 3428])).
% 7.97/5.49 tff(3431,plain,
% 7.97/5.49 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB138, constB139)) | (v94(constB139) <=> (~((~v104(constB139)) | (~v95(constB139))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB138, constB139)) | (v94(constB139) <=> (~((~v104(constB139)) | (~v95(constB139))))))),
% 7.97/5.49 inference(rewrite,[status(thm)],[])).
% 7.97/5.49 tff(3432,plain,
% 7.97/5.49 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB138, constB139)) | (v94(constB139) <=> (~((~v104(constB139)) | (~v95(constB139))))))),
% 7.97/5.49 inference(quant_inst,[status(thm)],[])).
% 7.97/5.49 tff(3433,plain,
% 7.97/5.49 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB138, constB139)) | (v94(constB139) <=> (~((~v104(constB139)) | (~v95(constB139)))))),
% 7.97/5.49 inference(modus_ponens,[status(thm)],[3432, 3431])).
% 7.97/5.49 tff(3434,plain,
% 7.97/5.49 (v94(constB139) <=> (~((~v104(constB139)) | (~v95(constB139))))),
% 7.97/5.49 inference(unit_resolution,[status(thm)],[3433, 3430, 775])).
% 7.97/5.49 tff(3435,plain,
% 7.97/5.49 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB138, constB139)) | (v95(constB139) <=> (~((~v1(constB139)) | (~v96(constB139))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB138, constB139)) | (v95(constB139) <=> (~((~v1(constB139)) | (~v96(constB139))))))),
% 7.97/5.49 inference(rewrite,[status(thm)],[])).
% 7.97/5.49 tff(3436,plain,
% 7.97/5.49 (((~nextState(constB138, constB139)) | (v95(constB139) <=> (~((~v96(constB139)) | (~v1(constB139)))))) <=> ((~nextState(constB138, constB139)) | (v95(constB139) <=> (~((~v1(constB139)) | (~v96(constB139))))))),
% 7.97/5.49 inference(rewrite,[status(thm)],[])).
% 7.97/5.49 tff(3437,plain,
% 7.97/5.49 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB138, constB139)) | (v95(constB139) <=> (~((~v96(constB139)) | (~v1(constB139))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB138, constB139)) | (v95(constB139) <=> (~((~v1(constB139)) | (~v96(constB139)))))))),
% 7.97/5.49 inference(monotonicity,[status(thm)],[3436])).
% 7.97/5.49 tff(3438,plain,
% 7.97/5.49 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB138, constB139)) | (v95(constB139) <=> (~((~v96(constB139)) | (~v1(constB139))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB138, constB139)) | (v95(constB139) <=> (~((~v1(constB139)) | (~v96(constB139))))))),
% 7.97/5.49 inference(transitivity,[status(thm)],[3437, 3435])).
% 7.97/5.49 tff(3439,plain,
% 7.97/5.49 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB138, constB139)) | (v95(constB139) <=> (~((~v96(constB139)) | (~v1(constB139))))))),
% 7.97/5.49 inference(quant_inst,[status(thm)],[])).
% 7.97/5.49 tff(3440,plain,
% 7.97/5.49 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB138, constB139)) | (v95(constB139) <=> (~((~v1(constB139)) | (~v96(constB139)))))),
% 7.97/5.49 inference(modus_ponens,[status(thm)],[3439, 3438])).
% 7.97/5.49 tff(3441,plain,
% 7.97/5.49 (v95(constB139) <=> (~((~v1(constB139)) | (~v96(constB139))))),
% 7.97/5.49 inference(unit_resolution,[status(thm)],[3440, 3430, 795])).
% 7.97/5.49 tff(3442,plain,
% 7.97/5.49 (((~v1(constB139)) | (~v96(constB139))) | v1(constB139)),
% 7.97/5.49 inference(tautology,[status(thm)],[])).
% 7.97/5.49 tff(3443,plain,
% 7.97/5.49 ((~v1(constB139)) | (~v96(constB139))),
% 7.97/5.49 inference(unit_resolution,[status(thm)],[3442, 3396])).
% 7.97/5.49 tff(3444,plain,
% 7.97/5.49 ((~(v95(constB139) <=> (~((~v1(constB139)) | (~v96(constB139)))))) | (~v95(constB139)) | (~((~v1(constB139)) | (~v96(constB139))))),
% 7.97/5.49 inference(tautology,[status(thm)],[])).
% 7.97/5.49 tff(3445,plain,
% 7.97/5.49 ((~(v95(constB139) <=> (~((~v1(constB139)) | (~v96(constB139)))))) | (~v95(constB139))),
% 7.97/5.49 inference(unit_resolution,[status(thm)],[3444, 3443])).
% 7.97/5.49 tff(3446,plain,
% 7.97/5.49 (~v95(constB139)),
% 7.97/5.49 inference(unit_resolution,[status(thm)],[3445, 3441])).
% 7.97/5.49 tff(3447,plain,
% 7.97/5.49 (((~v104(constB139)) | (~v95(constB139))) | v95(constB139)),
% 7.97/5.49 inference(tautology,[status(thm)],[])).
% 7.97/5.49 tff(3448,plain,
% 7.97/5.49 ((~v104(constB139)) | (~v95(constB139))),
% 7.97/5.49 inference(unit_resolution,[status(thm)],[3447, 3446])).
% 7.97/5.49 tff(3449,plain,
% 7.97/5.49 ((~(v94(constB139) <=> (~((~v104(constB139)) | (~v95(constB139)))))) | (~v94(constB139)) | (~((~v104(constB139)) | (~v95(constB139))))),
% 7.97/5.49 inference(tautology,[status(thm)],[])).
% 7.97/5.49 tff(3450,plain,
% 7.97/5.49 (~v94(constB139)),
% 7.97/5.49 inference(unit_resolution,[status(thm)],[3449, 3448, 3434])).
% 7.97/5.49 tff(3451,plain,
% 7.97/5.49 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB139) | (~nextState(constB138, constB139)) | ![B: $i] : ((~less_3(B)) | (v84(constB139, B) <=> v84(constB138, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB139) | (~nextState(constB138, constB139)) | ![B: $i] : ((~less_3(B)) | (v84(constB139, B) <=> v84(constB138, B))))),
% 7.97/5.49 inference(rewrite,[status(thm)],[])).
% 7.97/5.49 tff(3452,plain,
% 7.97/5.49 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB139) | (~nextState(constB138, constB139)) | ![B: $i] : ((~less_3(B)) | (v84(constB139, B) <=> v84(constB138, B))))),
% 7.97/5.49 inference(quant_inst,[status(thm)],[])).
% 7.97/5.49 tff(3453,plain,
% 7.97/5.49 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB139) | (~nextState(constB138, constB139)) | ![B: $i] : ((~less_3(B)) | (v84(constB139, B) <=> v84(constB138, B)))),
% 7.97/5.49 inference(modus_ponens,[status(thm)],[3452, 3451])).
% 7.97/5.49 tff(3454,plain,
% 7.97/5.49 (v94(constB139) | ![B: $i] : ((~less_3(B)) | (v84(constB139, B) <=> v84(constB138, B)))),
% 7.97/5.49 inference(unit_resolution,[status(thm)],[3453, 3430, 824])).
% 7.97/5.49 tff(3455,plain,
% 7.97/5.49 (![B: $i] : ((~less_3(B)) | (v84(constB139, B) <=> v84(constB138, B)))),
% 7.97/5.49 inference(unit_resolution,[status(thm)],[3454, 3450])).
% 7.97/5.49 tff(3456,plain,
% 7.97/5.49 (((~![B: $i] : ((~less_3(B)) | (v84(constB139, B) <=> v84(constB138, B)))) | ((~less_3(bitIndex2)) | (v84(constB139, bitIndex2) <=> v84(constB138, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB139, B) <=> v84(constB138, B)))) | (~less_3(bitIndex2)) | (v84(constB139, bitIndex2) <=> v84(constB138, bitIndex2)))),
% 7.97/5.49 inference(rewrite,[status(thm)],[])).
% 7.97/5.49 tff(3457,plain,
% 7.97/5.49 ((~![B: $i] : ((~less_3(B)) | (v84(constB139, B) <=> v84(constB138, B)))) | ((~less_3(bitIndex2)) | (v84(constB139, bitIndex2) <=> v84(constB138, bitIndex2)))),
% 7.97/5.49 inference(quant_inst,[status(thm)],[])).
% 7.97/5.49 tff(3458,plain,
% 7.97/5.49 ((~![B: $i] : ((~less_3(B)) | (v84(constB139, B) <=> v84(constB138, B)))) | (~less_3(bitIndex2)) | (v84(constB139, bitIndex2) <=> v84(constB138, bitIndex2))),
% 7.97/5.49 inference(modus_ponens,[status(thm)],[3457, 3456])).
% 7.97/5.49 tff(3459,plain,
% 7.97/5.49 (v84(constB139, bitIndex2) <=> v84(constB138, bitIndex2)),
% 7.97/5.49 inference(unit_resolution,[status(thm)],[3458, 832, 3455])).
% 7.97/5.49 tff(3460,plain,
% 7.97/5.49 (nextState(constB137, constB138) <=> nextState(constB137, constB138)),
% 7.97/5.49 inference(rewrite,[status(thm)],[])).
% 7.97/5.49 tff(3461,axiom,(nextState(constB137, constB138)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_137')).
% 7.97/5.49 tff(3462,plain,
% 7.97/5.49 (nextState(constB137, constB138)),
% 7.97/5.49 inference(modus_ponens,[status(thm)],[3461, 3460])).
% 7.97/5.49 tff(3463,plain,
% 7.97/5.49 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB137, constB138)) | (v94(constB138) <=> (~((~v104(constB138)) | (~v95(constB138))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB137, constB138)) | (v94(constB138) <=> (~((~v104(constB138)) | (~v95(constB138))))))),
% 7.97/5.49 inference(rewrite,[status(thm)],[])).
% 7.97/5.49 tff(3464,plain,
% 7.97/5.49 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB137, constB138)) | (v94(constB138) <=> (~((~v104(constB138)) | (~v95(constB138))))))),
% 7.97/5.49 inference(quant_inst,[status(thm)],[])).
% 7.97/5.49 tff(3465,plain,
% 7.97/5.49 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB137, constB138)) | (v94(constB138) <=> (~((~v104(constB138)) | (~v95(constB138)))))),
% 7.97/5.50 inference(modus_ponens,[status(thm)],[3464, 3463])).
% 7.97/5.50 tff(3466,plain,
% 7.97/5.50 (v94(constB138) <=> (~((~v104(constB138)) | (~v95(constB138))))),
% 7.97/5.50 inference(unit_resolution,[status(thm)],[3465, 3462, 775])).
% 7.97/5.50 tff(3467,plain,
% 7.97/5.50 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB137, constB138)) | (v95(constB138) <=> (~((~v1(constB138)) | (~v96(constB138))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB137, constB138)) | (v95(constB138) <=> (~((~v1(constB138)) | (~v96(constB138))))))),
% 7.97/5.50 inference(rewrite,[status(thm)],[])).
% 7.97/5.50 tff(3468,plain,
% 7.97/5.50 (((~nextState(constB137, constB138)) | (v95(constB138) <=> (~((~v96(constB138)) | (~v1(constB138)))))) <=> ((~nextState(constB137, constB138)) | (v95(constB138) <=> (~((~v1(constB138)) | (~v96(constB138))))))),
% 7.97/5.50 inference(rewrite,[status(thm)],[])).
% 7.97/5.50 tff(3469,plain,
% 7.97/5.50 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB137, constB138)) | (v95(constB138) <=> (~((~v96(constB138)) | (~v1(constB138))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB137, constB138)) | (v95(constB138) <=> (~((~v1(constB138)) | (~v96(constB138)))))))),
% 7.97/5.50 inference(monotonicity,[status(thm)],[3468])).
% 7.97/5.50 tff(3470,plain,
% 7.97/5.50 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB137, constB138)) | (v95(constB138) <=> (~((~v96(constB138)) | (~v1(constB138))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB137, constB138)) | (v95(constB138) <=> (~((~v1(constB138)) | (~v96(constB138))))))),
% 7.97/5.50 inference(transitivity,[status(thm)],[3469, 3467])).
% 7.97/5.50 tff(3471,plain,
% 7.97/5.50 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB137, constB138)) | (v95(constB138) <=> (~((~v96(constB138)) | (~v1(constB138))))))),
% 7.97/5.50 inference(quant_inst,[status(thm)],[])).
% 7.97/5.50 tff(3472,plain,
% 7.97/5.50 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB137, constB138)) | (v95(constB138) <=> (~((~v1(constB138)) | (~v96(constB138)))))),
% 7.97/5.50 inference(modus_ponens,[status(thm)],[3471, 3470])).
% 7.97/5.50 tff(3473,plain,
% 7.97/5.50 (v95(constB138) <=> (~((~v1(constB138)) | (~v96(constB138))))),
% 7.97/5.50 inference(unit_resolution,[status(thm)],[3472, 3462, 795])).
% 7.97/5.50 tff(3474,plain,
% 7.97/5.50 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB137, constB138)) | ((~v96(constB138)) <=> v98(constB138)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB137, constB138)) | ((~v96(constB138)) <=> v98(constB138)))),
% 7.97/5.50 inference(rewrite,[status(thm)],[])).
% 7.97/5.50 tff(3475,plain,
% 7.97/5.50 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB137, constB138)) | ((~v96(constB138)) <=> v98(constB138)))),
% 7.97/5.50 inference(quant_inst,[status(thm)],[])).
% 7.97/5.50 tff(3476,plain,
% 7.97/5.50 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB137, constB138)) | ((~v96(constB138)) <=> v98(constB138))),
% 7.97/5.50 inference(modus_ponens,[status(thm)],[3475, 3474])).
% 7.97/5.50 tff(3477,plain,
% 7.97/5.50 ((~v96(constB138)) <=> v98(constB138)),
% 7.97/5.50 inference(unit_resolution,[status(thm)],[3476, 3462, 860])).
% 7.97/5.50 tff(3478,plain,
% 7.97/5.50 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB137, constB138)) | (v98(constB138) <=> v1(constB137)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB137, constB138)) | (v98(constB138) <=> v1(constB137)))),
% 7.97/5.50 inference(rewrite,[status(thm)],[])).
% 7.97/5.50 tff(3479,plain,
% 7.97/5.50 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB137, constB138)) | (v98(constB138) <=> v1(constB137)))),
% 7.97/5.50 inference(quant_inst,[status(thm)],[])).
% 7.97/5.50 tff(3480,plain,
% 7.97/5.50 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB137, constB138)) | (v98(constB138) <=> v1(constB137))),
% 7.97/5.50 inference(modus_ponens,[status(thm)],[3479, 3478])).
% 7.97/5.50 tff(3481,plain,
% 7.97/5.50 (v98(constB138) <=> v1(constB137)),
% 7.97/5.50 inference(unit_resolution,[status(thm)],[3480, 3462, 874])).
% 7.97/5.50 tff(3482,plain,
% 7.97/5.50 ((~v1(constB137)) <=> (~v1(constB137))),
% 7.97/5.50 inference(rewrite,[status(thm)],[])).
% 7.97/5.50 tff(3483,axiom,(~v1(constB137)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_137')).
% 7.97/5.50 tff(3484,plain,
% 7.97/5.50 (~v1(constB137)),
% 7.97/5.50 inference(modus_ponens,[status(thm)],[3483, 3482])).
% 7.97/5.50 tff(3485,plain,
% 7.97/5.50 ((~(v98(constB138) <=> v1(constB137))) | (~v98(constB138)) | v1(constB137)),
% 7.97/5.50 inference(tautology,[status(thm)],[])).
% 7.97/5.50 tff(3486,plain,
% 7.97/5.50 ((~(v98(constB138) <=> v1(constB137))) | (~v98(constB138))),
% 7.97/5.50 inference(unit_resolution,[status(thm)],[3485, 3484])).
% 7.97/5.50 tff(3487,plain,
% 7.97/5.50 (~v98(constB138)),
% 7.97/5.50 inference(unit_resolution,[status(thm)],[3486, 3481])).
% 7.97/5.50 tff(3488,plain,
% 7.97/5.50 ((~((~v96(constB138)) <=> v98(constB138))) | v96(constB138) | v98(constB138)),
% 7.97/5.50 inference(tautology,[status(thm)],[])).
% 7.97/5.50 tff(3489,plain,
% 7.97/5.50 (v96(constB138)),
% 7.97/5.50 inference(unit_resolution,[status(thm)],[3488, 3487, 3477])).
% 7.97/5.50 tff(3490,plain,
% 7.97/5.50 (v1(constB138) <=> v1(constB138)),
% 7.97/5.50 inference(rewrite,[status(thm)],[])).
% 7.97/5.50 tff(3491,axiom,(v1(constB138)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_138')).
% 7.97/5.50 tff(3492,plain,
% 7.97/5.50 (v1(constB138)),
% 7.97/5.50 inference(modus_ponens,[status(thm)],[3491, 3490])).
% 7.97/5.50 tff(3493,plain,
% 7.97/5.50 ((~((~v1(constB138)) | (~v96(constB138)))) | (~v1(constB138)) | (~v96(constB138))),
% 7.97/5.50 inference(tautology,[status(thm)],[])).
% 7.97/5.50 tff(3494,plain,
% 7.97/5.50 ((~((~v1(constB138)) | (~v96(constB138)))) | (~v96(constB138))),
% 7.97/5.50 inference(unit_resolution,[status(thm)],[3493, 3492])).
% 7.97/5.50 tff(3495,plain,
% 7.97/5.50 (~((~v1(constB138)) | (~v96(constB138)))),
% 7.97/5.50 inference(unit_resolution,[status(thm)],[3494, 3489])).
% 7.97/5.50 tff(3496,plain,
% 7.97/5.50 ((~(v95(constB138) <=> (~((~v1(constB138)) | (~v96(constB138)))))) | v95(constB138) | ((~v1(constB138)) | (~v96(constB138)))),
% 7.97/5.50 inference(tautology,[status(thm)],[])).
% 7.97/5.50 tff(3497,plain,
% 7.97/5.50 (v95(constB138)),
% 7.97/5.50 inference(unit_resolution,[status(thm)],[3496, 3495, 3473])).
% 7.97/5.50 tff(3498,plain,
% 7.97/5.50 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB137, constB138)) | (v104(constB138) <=> v102(constB137)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB137, constB138)) | (v104(constB138) <=> v102(constB137)))),
% 7.97/5.50 inference(rewrite,[status(thm)],[])).
% 7.97/5.50 tff(3499,plain,
% 7.97/5.50 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB137, constB138)) | (v104(constB138) <=> v102(constB137)))),
% 7.97/5.50 inference(quant_inst,[status(thm)],[])).
% 7.97/5.50 tff(3500,plain,
% 7.97/5.50 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB137, constB138)) | (v104(constB138) <=> v102(constB137))),
% 7.97/5.50 inference(modus_ponens,[status(thm)],[3499, 3498])).
% 7.97/5.50 tff(3501,plain,
% 7.97/5.50 (v104(constB138) <=> v102(constB137)),
% 7.97/5.50 inference(unit_resolution,[status(thm)],[3500, 3462, 904])).
% 7.97/5.50 tff(3502,plain,
% 7.97/5.50 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB137) <=> (v105(constB137) | v106(constB137)))),
% 7.97/5.50 inference(quant_inst,[status(thm)],[])).
% 7.97/5.50 tff(3503,plain,
% 7.97/5.50 (v102(constB137) <=> (v105(constB137) | v106(constB137))),
% 7.97/5.50 inference(unit_resolution,[status(thm)],[3502, 915])).
% 7.97/5.50 tff(3504,plain,
% 7.97/5.50 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB137) <=> (~((~v107(constB137)) | (~v120(constB137)))))),
% 7.97/5.50 inference(quant_inst,[status(thm)],[])).
% 7.97/5.50 tff(3505,plain,
% 7.97/5.50 (v106(constB137) <=> (~((~v107(constB137)) | (~v120(constB137))))),
% 7.97/5.50 inference(unit_resolution,[status(thm)],[3504, 927])).
% 7.97/5.50 tff(3506,plain,
% 7.97/5.50 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB137) <=> (v108(constB137) | v119(constB137)))),
% 7.97/5.50 inference(quant_inst,[status(thm)],[])).
% 7.97/5.50 tff(3507,plain,
% 7.97/5.50 (v107(constB137) <=> (v108(constB137) | v119(constB137))),
% 7.97/5.50 inference(unit_resolution,[status(thm)],[3506, 936])).
% 7.97/5.50 tff(3508,plain,
% 7.97/5.50 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB137) <=> (v109(constB137) | v118(constB137)))),
% 7.97/5.50 inference(quant_inst,[status(thm)],[])).
% 7.97/5.50 tff(3509,plain,
% 7.97/5.50 (v108(constB137) <=> (v109(constB137) | v118(constB137))),
% 7.97/5.50 inference(unit_resolution,[status(thm)],[3508, 945])).
% 7.97/5.50 tff(3510,plain,
% 7.97/5.50 ((~![VarCurr: $i] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB137) <=> (v110(constB137) | v117(constB137)))),
% 7.97/5.50 inference(quant_inst,[status(thm)],[])).
% 7.97/5.50 tff(3511,plain,
% 7.97/5.50 (v109(constB137) <=> (v110(constB137) | v117(constB137))),
% 7.97/5.50 inference(unit_resolution,[status(thm)],[3510, 1056])).
% 7.97/5.50 tff(3512,plain,
% 7.97/5.50 ((~![VarCurr: $i] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB137) <=> (v111(constB137) | v116(constB137)))),
% 7.97/5.50 inference(quant_inst,[status(thm)],[])).
% 7.97/5.50 tff(3513,plain,
% 7.97/5.50 (v110(constB137) <=> (v111(constB137) | v116(constB137))),
% 7.97/5.50 inference(unit_resolution,[status(thm)],[3512, 1169])).
% 7.97/5.50 tff(3514,plain,
% 7.97/5.50 ((~![VarCurr: $i] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB137) <=> (v112(constB137) | v115(constB137)))),
% 7.97/5.50 inference(quant_inst,[status(thm)],[])).
% 7.97/5.50 tff(3515,plain,
% 7.97/5.50 (v111(constB137) <=> (v112(constB137) | v115(constB137))),
% 7.97/5.50 inference(unit_resolution,[status(thm)],[3514, 1279])).
% 7.97/5.50 tff(3516,plain,
% 7.97/5.50 (((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB137) <=> (~(v84(constB137, bitIndex2) | (~v84(constB137, bitIndex1)) | v84(constB137, bitIndex0))))) <=> ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB137) <=> (~(v84(constB137, bitIndex2) | (~v84(constB137, bitIndex1)) | v84(constB137, bitIndex0)))))),
% 7.97/5.50 inference(rewrite,[status(thm)],[])).
% 7.97/5.50 tff(3517,plain,
% 7.97/5.50 ((v115(constB137) <=> (~(v84(constB137, bitIndex0) | v84(constB137, bitIndex2) | (~v84(constB137, bitIndex1))))) <=> (v115(constB137) <=> (~(v84(constB137, bitIndex2) | (~v84(constB137, bitIndex1)) | v84(constB137, bitIndex0))))),
% 7.97/5.50 inference(rewrite,[status(thm)],[])).
% 7.97/5.50 tff(3518,plain,
% 7.97/5.50 (((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB137) <=> (~(v84(constB137, bitIndex0) | v84(constB137, bitIndex2) | (~v84(constB137, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB137) <=> (~(v84(constB137, bitIndex2) | (~v84(constB137, bitIndex1)) | v84(constB137, bitIndex0)))))),
% 7.97/5.50 inference(monotonicity,[status(thm)],[3517])).
% 7.97/5.50 tff(3519,plain,
% 7.97/5.50 (((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB137) <=> (~(v84(constB137, bitIndex0) | v84(constB137, bitIndex2) | (~v84(constB137, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB137) <=> (~(v84(constB137, bitIndex2) | (~v84(constB137, bitIndex1)) | v84(constB137, bitIndex0)))))),
% 7.97/5.50 inference(transitivity,[status(thm)],[3518, 3516])).
% 7.97/5.50 tff(3520,plain,
% 7.97/5.50 ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB137) <=> (~(v84(constB137, bitIndex0) | v84(constB137, bitIndex2) | (~v84(constB137, bitIndex1)))))),
% 7.97/5.50 inference(quant_inst,[status(thm)],[])).
% 7.97/5.50 tff(3521,plain,
% 7.97/5.50 ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB137) <=> (~(v84(constB137, bitIndex2) | (~v84(constB137, bitIndex1)) | v84(constB137, bitIndex0))))),
% 7.97/5.50 inference(modus_ponens,[status(thm)],[3520, 3519])).
% 7.97/5.50 tff(3522,plain,
% 7.97/5.50 (v115(constB137) <=> (~(v84(constB137, bitIndex2) | (~v84(constB137, bitIndex1)) | v84(constB137, bitIndex0)))),
% 7.97/5.50 inference(unit_resolution,[status(thm)],[3521, 1294])).
% 7.97/5.50 tff(3523,plain,
% 7.97/5.50 (nextState(constB136, constB137) <=> nextState(constB136, constB137)),
% 7.97/5.50 inference(rewrite,[status(thm)],[])).
% 7.97/5.50 tff(3524,axiom,(nextState(constB136, constB137)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_136')).
% 7.97/5.50 tff(3525,plain,
% 7.97/5.50 (nextState(constB136, constB137)),
% 7.97/5.50 inference(modus_ponens,[status(thm)],[3524, 3523])).
% 7.97/5.50 tff(3526,plain,
% 7.97/5.50 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB136, constB137)) | (v94(constB137) <=> (~((~v104(constB137)) | (~v95(constB137))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB136, constB137)) | (v94(constB137) <=> (~((~v104(constB137)) | (~v95(constB137))))))),
% 7.97/5.50 inference(rewrite,[status(thm)],[])).
% 7.97/5.50 tff(3527,plain,
% 7.97/5.50 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB136, constB137)) | (v94(constB137) <=> (~((~v104(constB137)) | (~v95(constB137))))))),
% 7.97/5.50 inference(quant_inst,[status(thm)],[])).
% 7.97/5.50 tff(3528,plain,
% 7.97/5.50 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB136, constB137)) | (v94(constB137) <=> (~((~v104(constB137)) | (~v95(constB137)))))),
% 7.97/5.50 inference(modus_ponens,[status(thm)],[3527, 3526])).
% 7.97/5.50 tff(3529,plain,
% 7.97/5.50 (v94(constB137) <=> (~((~v104(constB137)) | (~v95(constB137))))),
% 7.97/5.50 inference(unit_resolution,[status(thm)],[3528, 3525, 775])).
% 7.97/5.50 tff(3530,plain,
% 7.97/5.50 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB136, constB137)) | (v95(constB137) <=> (~((~v1(constB137)) | (~v96(constB137))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB136, constB137)) | (v95(constB137) <=> (~((~v1(constB137)) | (~v96(constB137))))))),
% 7.97/5.50 inference(rewrite,[status(thm)],[])).
% 7.97/5.50 tff(3531,plain,
% 7.97/5.50 (((~nextState(constB136, constB137)) | (v95(constB137) <=> (~((~v96(constB137)) | (~v1(constB137)))))) <=> ((~nextState(constB136, constB137)) | (v95(constB137) <=> (~((~v1(constB137)) | (~v96(constB137))))))),
% 7.97/5.50 inference(rewrite,[status(thm)],[])).
% 7.97/5.50 tff(3532,plain,
% 7.97/5.50 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB136, constB137)) | (v95(constB137) <=> (~((~v96(constB137)) | (~v1(constB137))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB136, constB137)) | (v95(constB137) <=> (~((~v1(constB137)) | (~v96(constB137)))))))),
% 7.97/5.50 inference(monotonicity,[status(thm)],[3531])).
% 7.97/5.50 tff(3533,plain,
% 7.97/5.50 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB136, constB137)) | (v95(constB137) <=> (~((~v96(constB137)) | (~v1(constB137))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB136, constB137)) | (v95(constB137) <=> (~((~v1(constB137)) | (~v96(constB137))))))),
% 7.97/5.50 inference(transitivity,[status(thm)],[3532, 3530])).
% 7.97/5.50 tff(3534,plain,
% 7.97/5.50 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB136, constB137)) | (v95(constB137) <=> (~((~v96(constB137)) | (~v1(constB137))))))),
% 7.97/5.50 inference(quant_inst,[status(thm)],[])).
% 7.97/5.50 tff(3535,plain,
% 7.97/5.50 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB136, constB137)) | (v95(constB137) <=> (~((~v1(constB137)) | (~v96(constB137)))))),
% 7.97/5.50 inference(modus_ponens,[status(thm)],[3534, 3533])).
% 7.97/5.50 tff(3536,plain,
% 7.97/5.50 (v95(constB137) <=> (~((~v1(constB137)) | (~v96(constB137))))),
% 7.97/5.50 inference(unit_resolution,[status(thm)],[3535, 3525, 795])).
% 7.97/5.50 tff(3537,plain,
% 7.97/5.50 (((~v1(constB137)) | (~v96(constB137))) | v1(constB137)),
% 7.97/5.50 inference(tautology,[status(thm)],[])).
% 7.97/5.50 tff(3538,plain,
% 7.97/5.50 ((~v1(constB137)) | (~v96(constB137))),
% 7.97/5.50 inference(unit_resolution,[status(thm)],[3537, 3484])).
% 7.97/5.50 tff(3539,plain,
% 7.97/5.50 ((~(v95(constB137) <=> (~((~v1(constB137)) | (~v96(constB137)))))) | (~v95(constB137)) | (~((~v1(constB137)) | (~v96(constB137))))),
% 7.97/5.50 inference(tautology,[status(thm)],[])).
% 7.97/5.50 tff(3540,plain,
% 7.97/5.50 ((~(v95(constB137) <=> (~((~v1(constB137)) | (~v96(constB137)))))) | (~v95(constB137))),
% 7.97/5.50 inference(unit_resolution,[status(thm)],[3539, 3538])).
% 7.97/5.50 tff(3541,plain,
% 7.97/5.50 (~v95(constB137)),
% 7.97/5.50 inference(unit_resolution,[status(thm)],[3540, 3536])).
% 7.97/5.50 tff(3542,plain,
% 7.97/5.50 (((~v104(constB137)) | (~v95(constB137))) | v95(constB137)),
% 7.97/5.50 inference(tautology,[status(thm)],[])).
% 7.97/5.50 tff(3543,plain,
% 7.97/5.50 ((~v104(constB137)) | (~v95(constB137))),
% 7.97/5.50 inference(unit_resolution,[status(thm)],[3542, 3541])).
% 7.97/5.50 tff(3544,plain,
% 7.97/5.50 ((~(v94(constB137) <=> (~((~v104(constB137)) | (~v95(constB137)))))) | (~v94(constB137)) | (~((~v104(constB137)) | (~v95(constB137))))),
% 7.97/5.50 inference(tautology,[status(thm)],[])).
% 7.97/5.50 tff(3545,plain,
% 7.97/5.50 (~v94(constB137)),
% 7.97/5.50 inference(unit_resolution,[status(thm)],[3544, 3543, 3529])).
% 7.97/5.50 tff(3546,plain,
% 7.97/5.50 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB137) | (~nextState(constB136, constB137)) | ![B: $i] : ((~less_3(B)) | (v84(constB137, B) <=> v84(constB136, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB137) | (~nextState(constB136, constB137)) | ![B: $i] : ((~less_3(B)) | (v84(constB137, B) <=> v84(constB136, B))))),
% 7.97/5.50 inference(rewrite,[status(thm)],[])).
% 7.97/5.50 tff(3547,plain,
% 7.97/5.50 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB137) | (~nextState(constB136, constB137)) | ![B: $i] : ((~less_3(B)) | (v84(constB137, B) <=> v84(constB136, B))))),
% 7.97/5.50 inference(quant_inst,[status(thm)],[])).
% 7.97/5.50 tff(3548,plain,
% 7.97/5.50 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB137) | (~nextState(constB136, constB137)) | ![B: $i] : ((~less_3(B)) | (v84(constB137, B) <=> v84(constB136, B)))),
% 7.97/5.50 inference(modus_ponens,[status(thm)],[3547, 3546])).
% 7.97/5.50 tff(3549,plain,
% 7.97/5.50 (v94(constB137) | ![B: $i] : ((~less_3(B)) | (v84(constB137, B) <=> v84(constB136, B)))),
% 7.97/5.50 inference(unit_resolution,[status(thm)],[3548, 3525, 824])).
% 7.97/5.50 tff(3550,plain,
% 7.97/5.50 (![B: $i] : ((~less_3(B)) | (v84(constB137, B) <=> v84(constB136, B)))),
% 7.97/5.50 inference(unit_resolution,[status(thm)],[3549, 3545])).
% 7.97/5.50 tff(3551,plain,
% 7.97/5.50 (((~![B: $i] : ((~less_3(B)) | (v84(constB137, B) <=> v84(constB136, B)))) | ((~less_3(bitIndex2)) | (v84(constB137, bitIndex2) <=> v84(constB136, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB137, B) <=> v84(constB136, B)))) | (~less_3(bitIndex2)) | (v84(constB137, bitIndex2) <=> v84(constB136, bitIndex2)))),
% 7.97/5.50 inference(rewrite,[status(thm)],[])).
% 7.97/5.50 tff(3552,plain,
% 7.97/5.50 ((~![B: $i] : ((~less_3(B)) | (v84(constB137, B) <=> v84(constB136, B)))) | ((~less_3(bitIndex2)) | (v84(constB137, bitIndex2) <=> v84(constB136, bitIndex2)))),
% 7.97/5.50 inference(quant_inst,[status(thm)],[])).
% 7.97/5.50 tff(3553,plain,
% 7.97/5.50 ((~![B: $i] : ((~less_3(B)) | (v84(constB137, B) <=> v84(constB136, B)))) | (~less_3(bitIndex2)) | (v84(constB137, bitIndex2) <=> v84(constB136, bitIndex2))),
% 7.97/5.50 inference(modus_ponens,[status(thm)],[3552, 3551])).
% 7.97/5.50 tff(3554,plain,
% 7.97/5.50 (v84(constB137, bitIndex2) <=> v84(constB136, bitIndex2)),
% 7.97/5.50 inference(unit_resolution,[status(thm)],[3553, 832, 3550])).
% 7.97/5.50 tff(3555,plain,
% 7.97/5.50 (nextState(constB135, constB136) <=> nextState(constB135, constB136)),
% 7.97/5.50 inference(rewrite,[status(thm)],[])).
% 7.97/5.50 tff(3556,axiom,(nextState(constB135, constB136)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_135')).
% 7.97/5.50 tff(3557,plain,
% 7.97/5.50 (nextState(constB135, constB136)),
% 7.97/5.50 inference(modus_ponens,[status(thm)],[3556, 3555])).
% 7.97/5.50 tff(3558,plain,
% 7.97/5.50 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB135, constB136)) | (v94(constB136) <=> (~((~v104(constB136)) | (~v95(constB136))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB135, constB136)) | (v94(constB136) <=> (~((~v104(constB136)) | (~v95(constB136))))))),
% 7.97/5.50 inference(rewrite,[status(thm)],[])).
% 7.97/5.50 tff(3559,plain,
% 7.97/5.50 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB135, constB136)) | (v94(constB136) <=> (~((~v104(constB136)) | (~v95(constB136))))))),
% 7.97/5.50 inference(quant_inst,[status(thm)],[])).
% 7.97/5.50 tff(3560,plain,
% 7.97/5.50 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB135, constB136)) | (v94(constB136) <=> (~((~v104(constB136)) | (~v95(constB136)))))),
% 7.97/5.50 inference(modus_ponens,[status(thm)],[3559, 3558])).
% 7.97/5.50 tff(3561,plain,
% 7.97/5.50 (v94(constB136) <=> (~((~v104(constB136)) | (~v95(constB136))))),
% 7.97/5.50 inference(unit_resolution,[status(thm)],[3560, 3557, 775])).
% 7.97/5.50 tff(3562,plain,
% 7.97/5.50 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB135, constB136)) | (v95(constB136) <=> (~((~v1(constB136)) | (~v96(constB136))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB135, constB136)) | (v95(constB136) <=> (~((~v1(constB136)) | (~v96(constB136))))))),
% 7.97/5.50 inference(rewrite,[status(thm)],[])).
% 7.97/5.50 tff(3563,plain,
% 7.97/5.50 (((~nextState(constB135, constB136)) | (v95(constB136) <=> (~((~v96(constB136)) | (~v1(constB136)))))) <=> ((~nextState(constB135, constB136)) | (v95(constB136) <=> (~((~v1(constB136)) | (~v96(constB136))))))),
% 7.97/5.50 inference(rewrite,[status(thm)],[])).
% 7.97/5.50 tff(3564,plain,
% 7.97/5.50 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB135, constB136)) | (v95(constB136) <=> (~((~v96(constB136)) | (~v1(constB136))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB135, constB136)) | (v95(constB136) <=> (~((~v1(constB136)) | (~v96(constB136)))))))),
% 7.97/5.50 inference(monotonicity,[status(thm)],[3563])).
% 7.97/5.50 tff(3565,plain,
% 7.97/5.50 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB135, constB136)) | (v95(constB136) <=> (~((~v96(constB136)) | (~v1(constB136))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB135, constB136)) | (v95(constB136) <=> (~((~v1(constB136)) | (~v96(constB136))))))),
% 7.97/5.50 inference(transitivity,[status(thm)],[3564, 3562])).
% 7.97/5.50 tff(3566,plain,
% 7.97/5.50 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB135, constB136)) | (v95(constB136) <=> (~((~v96(constB136)) | (~v1(constB136))))))),
% 7.97/5.50 inference(quant_inst,[status(thm)],[])).
% 7.97/5.50 tff(3567,plain,
% 7.97/5.50 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB135, constB136)) | (v95(constB136) <=> (~((~v1(constB136)) | (~v96(constB136)))))),
% 7.97/5.50 inference(modus_ponens,[status(thm)],[3566, 3565])).
% 7.97/5.50 tff(3568,plain,
% 7.97/5.50 (v95(constB136) <=> (~((~v1(constB136)) | (~v96(constB136))))),
% 7.97/5.50 inference(unit_resolution,[status(thm)],[3567, 3557, 795])).
% 7.97/5.50 tff(3569,plain,
% 7.97/5.50 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB135, constB136)) | ((~v96(constB136)) <=> v98(constB136)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB135, constB136)) | ((~v96(constB136)) <=> v98(constB136)))),
% 7.97/5.50 inference(rewrite,[status(thm)],[])).
% 7.97/5.50 tff(3570,plain,
% 7.97/5.50 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB135, constB136)) | ((~v96(constB136)) <=> v98(constB136)))),
% 7.97/5.50 inference(quant_inst,[status(thm)],[])).
% 7.97/5.50 tff(3571,plain,
% 7.97/5.50 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB135, constB136)) | ((~v96(constB136)) <=> v98(constB136))),
% 7.97/5.50 inference(modus_ponens,[status(thm)],[3570, 3569])).
% 7.97/5.50 tff(3572,plain,
% 7.97/5.50 ((~v96(constB136)) <=> v98(constB136)),
% 7.97/5.50 inference(unit_resolution,[status(thm)],[3571, 3557, 860])).
% 7.97/5.50 tff(3573,plain,
% 7.97/5.50 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB135, constB136)) | (v98(constB136) <=> v1(constB135)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB135, constB136)) | (v98(constB136) <=> v1(constB135)))),
% 7.97/5.50 inference(rewrite,[status(thm)],[])).
% 7.97/5.50 tff(3574,plain,
% 7.97/5.50 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB135, constB136)) | (v98(constB136) <=> v1(constB135)))),
% 7.97/5.50 inference(quant_inst,[status(thm)],[])).
% 7.97/5.50 tff(3575,plain,
% 7.97/5.50 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB135, constB136)) | (v98(constB136) <=> v1(constB135))),
% 7.97/5.50 inference(modus_ponens,[status(thm)],[3574, 3573])).
% 7.97/5.50 tff(3576,plain,
% 7.97/5.50 (v98(constB136) <=> v1(constB135)),
% 7.97/5.50 inference(unit_resolution,[status(thm)],[3575, 3557, 874])).
% 7.97/5.50 tff(3577,plain,
% 7.97/5.50 ((~v1(constB135)) <=> (~v1(constB135))),
% 7.97/5.50 inference(rewrite,[status(thm)],[])).
% 7.97/5.50 tff(3578,axiom,(~v1(constB135)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_135')).
% 7.97/5.50 tff(3579,plain,
% 7.97/5.50 (~v1(constB135)),
% 7.97/5.50 inference(modus_ponens,[status(thm)],[3578, 3577])).
% 7.97/5.50 tff(3580,plain,
% 7.97/5.50 ((~(v98(constB136) <=> v1(constB135))) | (~v98(constB136)) | v1(constB135)),
% 7.97/5.50 inference(tautology,[status(thm)],[])).
% 7.97/5.50 tff(3581,plain,
% 7.97/5.50 ((~(v98(constB136) <=> v1(constB135))) | (~v98(constB136))),
% 7.97/5.50 inference(unit_resolution,[status(thm)],[3580, 3579])).
% 7.97/5.50 tff(3582,plain,
% 7.97/5.50 (~v98(constB136)),
% 7.97/5.50 inference(unit_resolution,[status(thm)],[3581, 3576])).
% 7.97/5.50 tff(3583,plain,
% 7.97/5.50 ((~((~v96(constB136)) <=> v98(constB136))) | v96(constB136) | v98(constB136)),
% 7.97/5.50 inference(tautology,[status(thm)],[])).
% 7.97/5.50 tff(3584,plain,
% 7.97/5.50 (v96(constB136)),
% 7.97/5.50 inference(unit_resolution,[status(thm)],[3583, 3582, 3572])).
% 7.97/5.50 tff(3585,plain,
% 7.97/5.50 (v1(constB136) <=> v1(constB136)),
% 7.97/5.50 inference(rewrite,[status(thm)],[])).
% 7.97/5.50 tff(3586,axiom,(v1(constB136)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_136')).
% 7.97/5.50 tff(3587,plain,
% 7.97/5.50 (v1(constB136)),
% 7.97/5.50 inference(modus_ponens,[status(thm)],[3586, 3585])).
% 7.97/5.50 tff(3588,plain,
% 7.97/5.50 ((~((~v1(constB136)) | (~v96(constB136)))) | (~v1(constB136)) | (~v96(constB136))),
% 7.97/5.50 inference(tautology,[status(thm)],[])).
% 7.97/5.50 tff(3589,plain,
% 7.97/5.50 ((~((~v1(constB136)) | (~v96(constB136)))) | (~v96(constB136))),
% 7.97/5.50 inference(unit_resolution,[status(thm)],[3588, 3587])).
% 7.97/5.50 tff(3590,plain,
% 7.97/5.50 (~((~v1(constB136)) | (~v96(constB136)))),
% 7.97/5.50 inference(unit_resolution,[status(thm)],[3589, 3584])).
% 7.97/5.50 tff(3591,plain,
% 7.97/5.50 ((~(v95(constB136) <=> (~((~v1(constB136)) | (~v96(constB136)))))) | v95(constB136) | ((~v1(constB136)) | (~v96(constB136)))),
% 7.97/5.50 inference(tautology,[status(thm)],[])).
% 7.97/5.50 tff(3592,plain,
% 7.97/5.50 (v95(constB136)),
% 7.97/5.50 inference(unit_resolution,[status(thm)],[3591, 3590, 3568])).
% 7.97/5.50 tff(3593,plain,
% 7.97/5.50 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB135, constB136)) | (v104(constB136) <=> v102(constB135)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB135, constB136)) | (v104(constB136) <=> v102(constB135)))),
% 7.97/5.50 inference(rewrite,[status(thm)],[])).
% 7.97/5.50 tff(3594,plain,
% 7.97/5.50 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB135, constB136)) | (v104(constB136) <=> v102(constB135)))),
% 7.97/5.50 inference(quant_inst,[status(thm)],[])).
% 7.97/5.50 tff(3595,plain,
% 7.97/5.50 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB135, constB136)) | (v104(constB136) <=> v102(constB135))),
% 7.97/5.50 inference(modus_ponens,[status(thm)],[3594, 3593])).
% 7.97/5.50 tff(3596,plain,
% 7.97/5.50 (v104(constB136) <=> v102(constB135)),
% 7.97/5.50 inference(unit_resolution,[status(thm)],[3595, 3557, 904])).
% 7.97/5.50 tff(3597,plain,
% 7.97/5.50 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB135) <=> (v105(constB135) | v106(constB135)))),
% 7.97/5.50 inference(quant_inst,[status(thm)],[])).
% 7.97/5.50 tff(3598,plain,
% 7.97/5.50 (v102(constB135) <=> (v105(constB135) | v106(constB135))),
% 7.97/5.50 inference(unit_resolution,[status(thm)],[3597, 915])).
% 7.97/5.50 tff(3599,plain,
% 7.97/5.50 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB135) <=> (~((~v107(constB135)) | (~v120(constB135)))))),
% 7.97/5.50 inference(quant_inst,[status(thm)],[])).
% 7.97/5.50 tff(3600,plain,
% 7.97/5.50 (v106(constB135) <=> (~((~v107(constB135)) | (~v120(constB135))))),
% 7.97/5.50 inference(unit_resolution,[status(thm)],[3599, 927])).
% 7.97/5.50 tff(3601,plain,
% 7.97/5.50 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB135) <=> (v108(constB135) | v119(constB135)))),
% 7.97/5.50 inference(quant_inst,[status(thm)],[])).
% 7.97/5.50 tff(3602,plain,
% 7.97/5.50 (v107(constB135) <=> (v108(constB135) | v119(constB135))),
% 7.97/5.50 inference(unit_resolution,[status(thm)],[3601, 936])).
% 7.97/5.50 tff(3603,plain,
% 7.97/5.50 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB135) <=> (v109(constB135) | v118(constB135)))),
% 7.97/5.50 inference(quant_inst,[status(thm)],[])).
% 7.97/5.50 tff(3604,plain,
% 7.97/5.50 (v108(constB135) <=> (v109(constB135) | v118(constB135))),
% 7.97/5.50 inference(unit_resolution,[status(thm)],[3603, 945])).
% 7.97/5.50 tff(3605,plain,
% 7.97/5.50 ((~![VarCurr: $i] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB135) <=> (v110(constB135) | v117(constB135)))),
% 7.97/5.50 inference(quant_inst,[status(thm)],[])).
% 7.97/5.50 tff(3606,plain,
% 7.97/5.50 (v109(constB135) <=> (v110(constB135) | v117(constB135))),
% 7.97/5.50 inference(unit_resolution,[status(thm)],[3605, 1056])).
% 7.97/5.50 tff(3607,plain,
% 7.97/5.50 ((~![VarCurr: $i] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB135) <=> (v111(constB135) | v116(constB135)))),
% 7.97/5.50 inference(quant_inst,[status(thm)],[])).
% 7.97/5.50 tff(3608,plain,
% 7.97/5.50 (v110(constB135) <=> (v111(constB135) | v116(constB135))),
% 7.97/5.50 inference(unit_resolution,[status(thm)],[3607, 1169])).
% 7.97/5.50 tff(3609,plain,
% 7.97/5.50 ((~![VarCurr: $i] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB135) <=> (v112(constB135) | v115(constB135)))),
% 7.97/5.50 inference(quant_inst,[status(thm)],[])).
% 7.97/5.50 tff(3610,plain,
% 7.97/5.50 (v111(constB135) <=> (v112(constB135) | v115(constB135))),
% 7.97/5.50 inference(unit_resolution,[status(thm)],[3609, 1279])).
% 7.97/5.50 tff(3611,plain,
% 7.97/5.50 ((~![VarCurr: $i] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))) | (v112(constB135) <=> (v113(constB135) | v114(constB135)))),
% 7.97/5.50 inference(quant_inst,[status(thm)],[])).
% 7.97/5.50 tff(3612,plain,
% 7.97/5.50 (v112(constB135) <=> (v113(constB135) | v114(constB135))),
% 7.97/5.50 inference(unit_resolution,[status(thm)],[3611, 1396])).
% 7.97/5.50 tff(3613,plain,
% 7.97/5.50 (((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB135) <=> (~(v84(constB135, bitIndex2) | v84(constB135, bitIndex1) | (~v84(constB135, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB135) <=> (~(v84(constB135, bitIndex2) | v84(constB135, bitIndex1) | (~v84(constB135, bitIndex0))))))),
% 7.97/5.51 inference(rewrite,[status(thm)],[])).
% 7.97/5.51 tff(3614,plain,
% 7.97/5.51 ((v114(constB135) <=> (~(v84(constB135, bitIndex1) | v84(constB135, bitIndex2) | (~v84(constB135, bitIndex0))))) <=> (v114(constB135) <=> (~(v84(constB135, bitIndex2) | v84(constB135, bitIndex1) | (~v84(constB135, bitIndex0)))))),
% 7.97/5.51 inference(rewrite,[status(thm)],[])).
% 7.97/5.51 tff(3615,plain,
% 7.97/5.51 (((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB135) <=> (~(v84(constB135, bitIndex1) | v84(constB135, bitIndex2) | (~v84(constB135, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB135) <=> (~(v84(constB135, bitIndex2) | v84(constB135, bitIndex1) | (~v84(constB135, bitIndex0))))))),
% 7.97/5.51 inference(monotonicity,[status(thm)],[3614])).
% 7.97/5.51 tff(3616,plain,
% 7.97/5.51 (((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB135) <=> (~(v84(constB135, bitIndex1) | v84(constB135, bitIndex2) | (~v84(constB135, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB135) <=> (~(v84(constB135, bitIndex2) | v84(constB135, bitIndex1) | (~v84(constB135, bitIndex0))))))),
% 7.97/5.51 inference(transitivity,[status(thm)],[3615, 3613])).
% 7.97/5.51 tff(3617,plain,
% 7.97/5.51 ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB135) <=> (~(v84(constB135, bitIndex1) | v84(constB135, bitIndex2) | (~v84(constB135, bitIndex0)))))),
% 7.97/5.51 inference(quant_inst,[status(thm)],[])).
% 7.97/5.51 tff(3618,plain,
% 7.97/5.51 ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB135) <=> (~(v84(constB135, bitIndex2) | v84(constB135, bitIndex1) | (~v84(constB135, bitIndex0)))))),
% 7.97/5.51 inference(modus_ponens,[status(thm)],[3617, 3616])).
% 7.97/5.51 tff(3619,plain,
% 7.97/5.51 (v114(constB135) <=> (~(v84(constB135, bitIndex2) | v84(constB135, bitIndex1) | (~v84(constB135, bitIndex0))))),
% 7.97/5.51 inference(unit_resolution,[status(thm)],[3618, 1411])).
% 7.97/5.51 tff(3620,plain,
% 7.97/5.51 (nextState(constB134, constB135) <=> nextState(constB134, constB135)),
% 7.97/5.51 inference(rewrite,[status(thm)],[])).
% 7.97/5.51 tff(3621,axiom,(nextState(constB134, constB135)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_134')).
% 7.97/5.51 tff(3622,plain,
% 7.97/5.51 (nextState(constB134, constB135)),
% 7.97/5.51 inference(modus_ponens,[status(thm)],[3621, 3620])).
% 7.97/5.51 tff(3623,plain,
% 7.97/5.51 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB134, constB135)) | (v94(constB135) <=> (~((~v104(constB135)) | (~v95(constB135))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB134, constB135)) | (v94(constB135) <=> (~((~v104(constB135)) | (~v95(constB135))))))),
% 7.97/5.51 inference(rewrite,[status(thm)],[])).
% 7.97/5.51 tff(3624,plain,
% 7.97/5.51 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB134, constB135)) | (v94(constB135) <=> (~((~v104(constB135)) | (~v95(constB135))))))),
% 7.97/5.51 inference(quant_inst,[status(thm)],[])).
% 7.97/5.51 tff(3625,plain,
% 7.97/5.51 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB134, constB135)) | (v94(constB135) <=> (~((~v104(constB135)) | (~v95(constB135)))))),
% 7.97/5.51 inference(modus_ponens,[status(thm)],[3624, 3623])).
% 7.97/5.51 tff(3626,plain,
% 7.97/5.51 (v94(constB135) <=> (~((~v104(constB135)) | (~v95(constB135))))),
% 7.97/5.51 inference(unit_resolution,[status(thm)],[3625, 3622, 775])).
% 7.97/5.51 tff(3627,plain,
% 7.97/5.51 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB134, constB135)) | (v95(constB135) <=> (~((~v1(constB135)) | (~v96(constB135))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB134, constB135)) | (v95(constB135) <=> (~((~v1(constB135)) | (~v96(constB135))))))),
% 7.97/5.51 inference(rewrite,[status(thm)],[])).
% 7.97/5.51 tff(3628,plain,
% 7.97/5.51 (((~nextState(constB134, constB135)) | (v95(constB135) <=> (~((~v96(constB135)) | (~v1(constB135)))))) <=> ((~nextState(constB134, constB135)) | (v95(constB135) <=> (~((~v1(constB135)) | (~v96(constB135))))))),
% 7.97/5.51 inference(rewrite,[status(thm)],[])).
% 7.97/5.51 tff(3629,plain,
% 7.97/5.51 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB134, constB135)) | (v95(constB135) <=> (~((~v96(constB135)) | (~v1(constB135))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB134, constB135)) | (v95(constB135) <=> (~((~v1(constB135)) | (~v96(constB135)))))))),
% 7.97/5.51 inference(monotonicity,[status(thm)],[3628])).
% 7.97/5.51 tff(3630,plain,
% 7.97/5.51 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB134, constB135)) | (v95(constB135) <=> (~((~v96(constB135)) | (~v1(constB135))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB134, constB135)) | (v95(constB135) <=> (~((~v1(constB135)) | (~v96(constB135))))))),
% 7.97/5.51 inference(transitivity,[status(thm)],[3629, 3627])).
% 7.97/5.51 tff(3631,plain,
% 7.97/5.51 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB134, constB135)) | (v95(constB135) <=> (~((~v96(constB135)) | (~v1(constB135))))))),
% 7.97/5.51 inference(quant_inst,[status(thm)],[])).
% 7.97/5.51 tff(3632,plain,
% 7.97/5.51 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB134, constB135)) | (v95(constB135) <=> (~((~v1(constB135)) | (~v96(constB135)))))),
% 7.97/5.51 inference(modus_ponens,[status(thm)],[3631, 3630])).
% 7.97/5.51 tff(3633,plain,
% 7.97/5.51 (v95(constB135) <=> (~((~v1(constB135)) | (~v96(constB135))))),
% 7.97/5.51 inference(unit_resolution,[status(thm)],[3632, 3622, 795])).
% 7.97/5.51 tff(3634,plain,
% 7.97/5.51 (((~v1(constB135)) | (~v96(constB135))) | v1(constB135)),
% 7.97/5.51 inference(tautology,[status(thm)],[])).
% 7.97/5.51 tff(3635,plain,
% 7.97/5.51 ((~v1(constB135)) | (~v96(constB135))),
% 7.97/5.51 inference(unit_resolution,[status(thm)],[3634, 3579])).
% 7.97/5.51 tff(3636,plain,
% 7.97/5.51 ((~(v95(constB135) <=> (~((~v1(constB135)) | (~v96(constB135)))))) | (~v95(constB135)) | (~((~v1(constB135)) | (~v96(constB135))))),
% 7.97/5.51 inference(tautology,[status(thm)],[])).
% 7.97/5.51 tff(3637,plain,
% 7.97/5.51 ((~(v95(constB135) <=> (~((~v1(constB135)) | (~v96(constB135)))))) | (~v95(constB135))),
% 7.97/5.51 inference(unit_resolution,[status(thm)],[3636, 3635])).
% 7.97/5.51 tff(3638,plain,
% 7.97/5.51 (~v95(constB135)),
% 7.97/5.51 inference(unit_resolution,[status(thm)],[3637, 3633])).
% 7.97/5.51 tff(3639,plain,
% 7.97/5.51 (((~v104(constB135)) | (~v95(constB135))) | v95(constB135)),
% 7.97/5.51 inference(tautology,[status(thm)],[])).
% 7.97/5.51 tff(3640,plain,
% 7.97/5.51 ((~v104(constB135)) | (~v95(constB135))),
% 7.97/5.51 inference(unit_resolution,[status(thm)],[3639, 3638])).
% 7.97/5.51 tff(3641,plain,
% 7.97/5.51 ((~(v94(constB135) <=> (~((~v104(constB135)) | (~v95(constB135)))))) | (~v94(constB135)) | (~((~v104(constB135)) | (~v95(constB135))))),
% 7.97/5.51 inference(tautology,[status(thm)],[])).
% 7.97/5.51 tff(3642,plain,
% 7.97/5.51 (~v94(constB135)),
% 7.97/5.51 inference(unit_resolution,[status(thm)],[3641, 3640, 3626])).
% 7.97/5.51 tff(3643,plain,
% 7.97/5.51 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB135) | (~nextState(constB134, constB135)) | ![B: $i] : ((~less_3(B)) | (v84(constB135, B) <=> v84(constB134, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB135) | (~nextState(constB134, constB135)) | ![B: $i] : ((~less_3(B)) | (v84(constB135, B) <=> v84(constB134, B))))),
% 7.97/5.51 inference(rewrite,[status(thm)],[])).
% 7.97/5.51 tff(3644,plain,
% 7.97/5.51 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB135) | (~nextState(constB134, constB135)) | ![B: $i] : ((~less_3(B)) | (v84(constB135, B) <=> v84(constB134, B))))),
% 7.97/5.51 inference(quant_inst,[status(thm)],[])).
% 7.97/5.51 tff(3645,plain,
% 7.97/5.51 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB135) | (~nextState(constB134, constB135)) | ![B: $i] : ((~less_3(B)) | (v84(constB135, B) <=> v84(constB134, B)))),
% 7.97/5.51 inference(modus_ponens,[status(thm)],[3644, 3643])).
% 7.97/5.51 tff(3646,plain,
% 7.97/5.51 (v94(constB135) | ![B: $i] : ((~less_3(B)) | (v84(constB135, B) <=> v84(constB134, B)))),
% 7.97/5.51 inference(unit_resolution,[status(thm)],[3645, 3622, 824])).
% 7.97/5.51 tff(3647,plain,
% 7.97/5.51 (![B: $i] : ((~less_3(B)) | (v84(constB135, B) <=> v84(constB134, B)))),
% 7.97/5.51 inference(unit_resolution,[status(thm)],[3646, 3642])).
% 7.97/5.51 tff(3648,plain,
% 7.97/5.51 (((~![B: $i] : ((~less_3(B)) | (v84(constB135, B) <=> v84(constB134, B)))) | ((~less_3(bitIndex2)) | (v84(constB135, bitIndex2) <=> v84(constB134, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB135, B) <=> v84(constB134, B)))) | (~less_3(bitIndex2)) | (v84(constB135, bitIndex2) <=> v84(constB134, bitIndex2)))),
% 7.97/5.51 inference(rewrite,[status(thm)],[])).
% 7.97/5.51 tff(3649,plain,
% 7.97/5.51 ((~![B: $i] : ((~less_3(B)) | (v84(constB135, B) <=> v84(constB134, B)))) | ((~less_3(bitIndex2)) | (v84(constB135, bitIndex2) <=> v84(constB134, bitIndex2)))),
% 7.97/5.51 inference(quant_inst,[status(thm)],[])).
% 7.97/5.51 tff(3650,plain,
% 7.97/5.51 ((~![B: $i] : ((~less_3(B)) | (v84(constB135, B) <=> v84(constB134, B)))) | (~less_3(bitIndex2)) | (v84(constB135, bitIndex2) <=> v84(constB134, bitIndex2))),
% 7.97/5.51 inference(modus_ponens,[status(thm)],[3649, 3648])).
% 7.97/5.51 tff(3651,plain,
% 7.97/5.51 (v84(constB135, bitIndex2) <=> v84(constB134, bitIndex2)),
% 7.97/5.51 inference(unit_resolution,[status(thm)],[3650, 832, 3647])).
% 7.97/5.51 tff(3652,plain,
% 7.97/5.51 (nextState(constB133, constB134) <=> nextState(constB133, constB134)),
% 7.97/5.51 inference(rewrite,[status(thm)],[])).
% 7.97/5.51 tff(3653,axiom,(nextState(constB133, constB134)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_133')).
% 7.97/5.51 tff(3654,plain,
% 7.97/5.51 (nextState(constB133, constB134)),
% 7.97/5.51 inference(modus_ponens,[status(thm)],[3653, 3652])).
% 7.97/5.51 tff(3655,plain,
% 7.97/5.51 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB133, constB134)) | (v94(constB134) <=> (~((~v104(constB134)) | (~v95(constB134))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB133, constB134)) | (v94(constB134) <=> (~((~v104(constB134)) | (~v95(constB134))))))),
% 7.97/5.51 inference(rewrite,[status(thm)],[])).
% 7.97/5.51 tff(3656,plain,
% 7.97/5.51 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB133, constB134)) | (v94(constB134) <=> (~((~v104(constB134)) | (~v95(constB134))))))),
% 7.97/5.51 inference(quant_inst,[status(thm)],[])).
% 7.97/5.51 tff(3657,plain,
% 7.97/5.51 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB133, constB134)) | (v94(constB134) <=> (~((~v104(constB134)) | (~v95(constB134)))))),
% 7.97/5.51 inference(modus_ponens,[status(thm)],[3656, 3655])).
% 7.97/5.51 tff(3658,plain,
% 7.97/5.51 (v94(constB134) <=> (~((~v104(constB134)) | (~v95(constB134))))),
% 7.97/5.51 inference(unit_resolution,[status(thm)],[3657, 3654, 775])).
% 7.97/5.51 tff(3659,plain,
% 7.97/5.51 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB133, constB134)) | (v95(constB134) <=> (~((~v1(constB134)) | (~v96(constB134))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB133, constB134)) | (v95(constB134) <=> (~((~v1(constB134)) | (~v96(constB134))))))),
% 7.97/5.51 inference(rewrite,[status(thm)],[])).
% 7.97/5.51 tff(3660,plain,
% 7.97/5.51 (((~nextState(constB133, constB134)) | (v95(constB134) <=> (~((~v96(constB134)) | (~v1(constB134)))))) <=> ((~nextState(constB133, constB134)) | (v95(constB134) <=> (~((~v1(constB134)) | (~v96(constB134))))))),
% 7.97/5.51 inference(rewrite,[status(thm)],[])).
% 7.97/5.51 tff(3661,plain,
% 7.97/5.51 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB133, constB134)) | (v95(constB134) <=> (~((~v96(constB134)) | (~v1(constB134))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB133, constB134)) | (v95(constB134) <=> (~((~v1(constB134)) | (~v96(constB134)))))))),
% 7.97/5.51 inference(monotonicity,[status(thm)],[3660])).
% 7.97/5.51 tff(3662,plain,
% 7.97/5.51 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB133, constB134)) | (v95(constB134) <=> (~((~v96(constB134)) | (~v1(constB134))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB133, constB134)) | (v95(constB134) <=> (~((~v1(constB134)) | (~v96(constB134))))))),
% 7.97/5.51 inference(transitivity,[status(thm)],[3661, 3659])).
% 7.97/5.51 tff(3663,plain,
% 7.97/5.51 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB133, constB134)) | (v95(constB134) <=> (~((~v96(constB134)) | (~v1(constB134))))))),
% 7.97/5.51 inference(quant_inst,[status(thm)],[])).
% 7.97/5.51 tff(3664,plain,
% 7.97/5.51 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB133, constB134)) | (v95(constB134) <=> (~((~v1(constB134)) | (~v96(constB134)))))),
% 7.97/5.51 inference(modus_ponens,[status(thm)],[3663, 3662])).
% 7.97/5.51 tff(3665,plain,
% 7.97/5.51 (v95(constB134) <=> (~((~v1(constB134)) | (~v96(constB134))))),
% 7.97/5.51 inference(unit_resolution,[status(thm)],[3664, 3654, 795])).
% 7.97/5.51 tff(3666,plain,
% 7.97/5.51 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB133, constB134)) | ((~v96(constB134)) <=> v98(constB134)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB133, constB134)) | ((~v96(constB134)) <=> v98(constB134)))),
% 7.97/5.51 inference(rewrite,[status(thm)],[])).
% 7.97/5.51 tff(3667,plain,
% 7.97/5.51 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB133, constB134)) | ((~v96(constB134)) <=> v98(constB134)))),
% 7.97/5.51 inference(quant_inst,[status(thm)],[])).
% 7.97/5.51 tff(3668,plain,
% 7.97/5.51 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB133, constB134)) | ((~v96(constB134)) <=> v98(constB134))),
% 7.97/5.51 inference(modus_ponens,[status(thm)],[3667, 3666])).
% 7.97/5.51 tff(3669,plain,
% 7.97/5.51 ((~v96(constB134)) <=> v98(constB134)),
% 7.97/5.51 inference(unit_resolution,[status(thm)],[3668, 3654, 860])).
% 7.97/5.51 tff(3670,plain,
% 7.97/5.51 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB133, constB134)) | (v98(constB134) <=> v1(constB133)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB133, constB134)) | (v98(constB134) <=> v1(constB133)))),
% 7.97/5.51 inference(rewrite,[status(thm)],[])).
% 7.97/5.51 tff(3671,plain,
% 7.97/5.51 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB133, constB134)) | (v98(constB134) <=> v1(constB133)))),
% 7.97/5.51 inference(quant_inst,[status(thm)],[])).
% 7.97/5.51 tff(3672,plain,
% 7.97/5.51 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB133, constB134)) | (v98(constB134) <=> v1(constB133))),
% 7.97/5.51 inference(modus_ponens,[status(thm)],[3671, 3670])).
% 7.97/5.51 tff(3673,plain,
% 7.97/5.51 (v98(constB134) <=> v1(constB133)),
% 7.97/5.51 inference(unit_resolution,[status(thm)],[3672, 3654, 874])).
% 7.97/5.51 tff(3674,plain,
% 7.97/5.51 ((~v1(constB133)) <=> (~v1(constB133))),
% 7.97/5.51 inference(rewrite,[status(thm)],[])).
% 7.97/5.51 tff(3675,axiom,(~v1(constB133)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_133')).
% 7.97/5.51 tff(3676,plain,
% 7.97/5.51 (~v1(constB133)),
% 7.97/5.51 inference(modus_ponens,[status(thm)],[3675, 3674])).
% 7.97/5.51 tff(3677,plain,
% 7.97/5.51 ((~(v98(constB134) <=> v1(constB133))) | (~v98(constB134)) | v1(constB133)),
% 7.97/5.51 inference(tautology,[status(thm)],[])).
% 7.97/5.51 tff(3678,plain,
% 7.97/5.51 ((~(v98(constB134) <=> v1(constB133))) | (~v98(constB134))),
% 7.97/5.51 inference(unit_resolution,[status(thm)],[3677, 3676])).
% 7.97/5.51 tff(3679,plain,
% 7.97/5.51 (~v98(constB134)),
% 7.97/5.51 inference(unit_resolution,[status(thm)],[3678, 3673])).
% 7.97/5.51 tff(3680,plain,
% 7.97/5.51 ((~((~v96(constB134)) <=> v98(constB134))) | v96(constB134) | v98(constB134)),
% 7.97/5.51 inference(tautology,[status(thm)],[])).
% 7.97/5.51 tff(3681,plain,
% 7.97/5.51 (v96(constB134)),
% 7.97/5.51 inference(unit_resolution,[status(thm)],[3680, 3679, 3669])).
% 7.97/5.51 tff(3682,plain,
% 7.97/5.51 (v1(constB134) <=> v1(constB134)),
% 7.97/5.51 inference(rewrite,[status(thm)],[])).
% 7.97/5.51 tff(3683,axiom,(v1(constB134)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_134')).
% 7.97/5.51 tff(3684,plain,
% 7.97/5.51 (v1(constB134)),
% 7.97/5.51 inference(modus_ponens,[status(thm)],[3683, 3682])).
% 7.97/5.51 tff(3685,plain,
% 7.97/5.51 ((~((~v1(constB134)) | (~v96(constB134)))) | (~v1(constB134)) | (~v96(constB134))),
% 7.97/5.51 inference(tautology,[status(thm)],[])).
% 7.97/5.51 tff(3686,plain,
% 7.97/5.51 ((~((~v1(constB134)) | (~v96(constB134)))) | (~v96(constB134))),
% 7.97/5.51 inference(unit_resolution,[status(thm)],[3685, 3684])).
% 7.97/5.51 tff(3687,plain,
% 7.97/5.51 (~((~v1(constB134)) | (~v96(constB134)))),
% 7.97/5.51 inference(unit_resolution,[status(thm)],[3686, 3681])).
% 7.97/5.51 tff(3688,plain,
% 7.97/5.51 ((~(v95(constB134) <=> (~((~v1(constB134)) | (~v96(constB134)))))) | v95(constB134) | ((~v1(constB134)) | (~v96(constB134)))),
% 7.97/5.51 inference(tautology,[status(thm)],[])).
% 7.97/5.51 tff(3689,plain,
% 7.97/5.51 (v95(constB134)),
% 7.97/5.51 inference(unit_resolution,[status(thm)],[3688, 3687, 3665])).
% 7.97/5.51 tff(3690,plain,
% 7.97/5.51 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB133, constB134)) | (v104(constB134) <=> v102(constB133)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB133, constB134)) | (v104(constB134) <=> v102(constB133)))),
% 7.97/5.51 inference(rewrite,[status(thm)],[])).
% 7.97/5.51 tff(3691,plain,
% 7.97/5.51 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB133, constB134)) | (v104(constB134) <=> v102(constB133)))),
% 7.97/5.51 inference(quant_inst,[status(thm)],[])).
% 7.97/5.51 tff(3692,plain,
% 7.97/5.51 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB133, constB134)) | (v104(constB134) <=> v102(constB133))),
% 7.97/5.51 inference(modus_ponens,[status(thm)],[3691, 3690])).
% 7.97/5.51 tff(3693,plain,
% 7.97/5.51 (v104(constB134) <=> v102(constB133)),
% 7.97/5.51 inference(unit_resolution,[status(thm)],[3692, 3654, 904])).
% 7.97/5.51 tff(3694,plain,
% 7.97/5.51 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB133) <=> (v105(constB133) | v106(constB133)))),
% 7.97/5.51 inference(quant_inst,[status(thm)],[])).
% 7.97/5.51 tff(3695,plain,
% 7.97/5.51 (v102(constB133) <=> (v105(constB133) | v106(constB133))),
% 7.97/5.51 inference(unit_resolution,[status(thm)],[3694, 915])).
% 7.97/5.51 tff(3696,plain,
% 7.97/5.51 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB133) <=> (~((~v107(constB133)) | (~v120(constB133)))))),
% 7.97/5.51 inference(quant_inst,[status(thm)],[])).
% 7.97/5.51 tff(3697,plain,
% 7.97/5.51 (v106(constB133) <=> (~((~v107(constB133)) | (~v120(constB133))))),
% 7.97/5.51 inference(unit_resolution,[status(thm)],[3696, 927])).
% 7.97/5.51 tff(3698,plain,
% 7.97/5.51 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB133) <=> (v108(constB133) | v119(constB133)))),
% 7.97/5.51 inference(quant_inst,[status(thm)],[])).
% 7.97/5.51 tff(3699,plain,
% 7.97/5.51 (v107(constB133) <=> (v108(constB133) | v119(constB133))),
% 7.97/5.51 inference(unit_resolution,[status(thm)],[3698, 936])).
% 7.97/5.51 tff(3700,plain,
% 7.97/5.51 (((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB133) <=> (~((~v84(constB133, bitIndex2)) | (~v84(constB133, bitIndex1)) | v84(constB133, bitIndex0))))) <=> ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB133) <=> (~((~v84(constB133, bitIndex2)) | (~v84(constB133, bitIndex1)) | v84(constB133, bitIndex0)))))),
% 7.97/5.51 inference(rewrite,[status(thm)],[])).
% 7.97/5.51 tff(3701,plain,
% 7.97/5.51 ((v119(constB133) <=> (~(v84(constB133, bitIndex0) | (~v84(constB133, bitIndex1)) | (~v84(constB133, bitIndex2))))) <=> (v119(constB133) <=> (~((~v84(constB133, bitIndex2)) | (~v84(constB133, bitIndex1)) | v84(constB133, bitIndex0))))),
% 7.97/5.51 inference(rewrite,[status(thm)],[])).
% 7.97/5.51 tff(3702,plain,
% 7.97/5.51 (((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB133) <=> (~(v84(constB133, bitIndex0) | (~v84(constB133, bitIndex1)) | (~v84(constB133, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB133) <=> (~((~v84(constB133, bitIndex2)) | (~v84(constB133, bitIndex1)) | v84(constB133, bitIndex0)))))),
% 7.97/5.51 inference(monotonicity,[status(thm)],[3701])).
% 7.97/5.51 tff(3703,plain,
% 7.97/5.51 (((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB133) <=> (~(v84(constB133, bitIndex0) | (~v84(constB133, bitIndex1)) | (~v84(constB133, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB133) <=> (~((~v84(constB133, bitIndex2)) | (~v84(constB133, bitIndex1)) | v84(constB133, bitIndex0)))))),
% 7.97/5.51 inference(transitivity,[status(thm)],[3702, 3700])).
% 7.97/5.51 tff(3704,plain,
% 7.97/5.51 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB133) <=> (~(v84(constB133, bitIndex0) | (~v84(constB133, bitIndex1)) | (~v84(constB133, bitIndex2)))))),
% 7.97/5.51 inference(quant_inst,[status(thm)],[])).
% 7.97/5.51 tff(3705,plain,
% 7.97/5.51 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB133) <=> (~((~v84(constB133, bitIndex2)) | (~v84(constB133, bitIndex1)) | v84(constB133, bitIndex0))))),
% 7.97/5.51 inference(modus_ponens,[status(thm)],[3704, 3703])).
% 7.97/5.51 tff(3706,plain,
% 7.97/5.51 (v119(constB133) <=> (~((~v84(constB133, bitIndex2)) | (~v84(constB133, bitIndex1)) | v84(constB133, bitIndex0)))),
% 7.97/5.51 inference(unit_resolution,[status(thm)],[3705, 1511])).
% 7.97/5.51 tff(3707,plain,
% 7.97/5.51 (nextState(constB132, constB133) <=> nextState(constB132, constB133)),
% 7.97/5.51 inference(rewrite,[status(thm)],[])).
% 7.97/5.51 tff(3708,axiom,(nextState(constB132, constB133)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_132')).
% 7.97/5.51 tff(3709,plain,
% 7.97/5.51 (nextState(constB132, constB133)),
% 7.97/5.51 inference(modus_ponens,[status(thm)],[3708, 3707])).
% 7.97/5.51 tff(3710,plain,
% 7.97/5.51 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB132, constB133)) | (v94(constB133) <=> (~((~v104(constB133)) | (~v95(constB133))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB132, constB133)) | (v94(constB133) <=> (~((~v104(constB133)) | (~v95(constB133))))))),
% 7.97/5.51 inference(rewrite,[status(thm)],[])).
% 7.97/5.51 tff(3711,plain,
% 7.97/5.51 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB132, constB133)) | (v94(constB133) <=> (~((~v104(constB133)) | (~v95(constB133))))))),
% 7.97/5.51 inference(quant_inst,[status(thm)],[])).
% 7.97/5.51 tff(3712,plain,
% 7.97/5.51 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB132, constB133)) | (v94(constB133) <=> (~((~v104(constB133)) | (~v95(constB133)))))),
% 7.97/5.51 inference(modus_ponens,[status(thm)],[3711, 3710])).
% 7.97/5.51 tff(3713,plain,
% 7.97/5.51 (v94(constB133) <=> (~((~v104(constB133)) | (~v95(constB133))))),
% 7.97/5.51 inference(unit_resolution,[status(thm)],[3712, 3709, 775])).
% 7.97/5.51 tff(3714,plain,
% 7.97/5.51 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB132, constB133)) | (v95(constB133) <=> (~((~v1(constB133)) | (~v96(constB133))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB132, constB133)) | (v95(constB133) <=> (~((~v1(constB133)) | (~v96(constB133))))))),
% 7.97/5.51 inference(rewrite,[status(thm)],[])).
% 7.97/5.51 tff(3715,plain,
% 7.97/5.51 (((~nextState(constB132, constB133)) | (v95(constB133) <=> (~((~v96(constB133)) | (~v1(constB133)))))) <=> ((~nextState(constB132, constB133)) | (v95(constB133) <=> (~((~v1(constB133)) | (~v96(constB133))))))),
% 7.97/5.51 inference(rewrite,[status(thm)],[])).
% 7.97/5.51 tff(3716,plain,
% 7.97/5.51 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB132, constB133)) | (v95(constB133) <=> (~((~v96(constB133)) | (~v1(constB133))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB132, constB133)) | (v95(constB133) <=> (~((~v1(constB133)) | (~v96(constB133)))))))),
% 7.97/5.51 inference(monotonicity,[status(thm)],[3715])).
% 7.97/5.51 tff(3717,plain,
% 7.97/5.51 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB132, constB133)) | (v95(constB133) <=> (~((~v96(constB133)) | (~v1(constB133))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB132, constB133)) | (v95(constB133) <=> (~((~v1(constB133)) | (~v96(constB133))))))),
% 7.97/5.51 inference(transitivity,[status(thm)],[3716, 3714])).
% 7.97/5.51 tff(3718,plain,
% 7.97/5.51 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB132, constB133)) | (v95(constB133) <=> (~((~v96(constB133)) | (~v1(constB133))))))),
% 7.97/5.51 inference(quant_inst,[status(thm)],[])).
% 7.97/5.51 tff(3719,plain,
% 7.97/5.51 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB132, constB133)) | (v95(constB133) <=> (~((~v1(constB133)) | (~v96(constB133)))))),
% 7.97/5.51 inference(modus_ponens,[status(thm)],[3718, 3717])).
% 7.97/5.51 tff(3720,plain,
% 7.97/5.51 (v95(constB133) <=> (~((~v1(constB133)) | (~v96(constB133))))),
% 7.97/5.51 inference(unit_resolution,[status(thm)],[3719, 3709, 795])).
% 7.97/5.51 tff(3721,plain,
% 7.97/5.51 (((~v1(constB133)) | (~v96(constB133))) | v1(constB133)),
% 7.97/5.51 inference(tautology,[status(thm)],[])).
% 7.97/5.51 tff(3722,plain,
% 7.97/5.51 ((~v1(constB133)) | (~v96(constB133))),
% 7.97/5.51 inference(unit_resolution,[status(thm)],[3721, 3676])).
% 7.97/5.51 tff(3723,plain,
% 7.97/5.51 ((~(v95(constB133) <=> (~((~v1(constB133)) | (~v96(constB133)))))) | (~v95(constB133)) | (~((~v1(constB133)) | (~v96(constB133))))),
% 7.97/5.51 inference(tautology,[status(thm)],[])).
% 7.97/5.51 tff(3724,plain,
% 7.97/5.51 ((~(v95(constB133) <=> (~((~v1(constB133)) | (~v96(constB133)))))) | (~v95(constB133))),
% 7.97/5.51 inference(unit_resolution,[status(thm)],[3723, 3722])).
% 7.97/5.51 tff(3725,plain,
% 7.97/5.51 (~v95(constB133)),
% 7.97/5.51 inference(unit_resolution,[status(thm)],[3724, 3720])).
% 7.97/5.51 tff(3726,plain,
% 7.97/5.51 (((~v104(constB133)) | (~v95(constB133))) | v95(constB133)),
% 7.97/5.51 inference(tautology,[status(thm)],[])).
% 7.97/5.51 tff(3727,plain,
% 7.97/5.51 ((~v104(constB133)) | (~v95(constB133))),
% 7.97/5.51 inference(unit_resolution,[status(thm)],[3726, 3725])).
% 7.97/5.51 tff(3728,plain,
% 7.97/5.51 ((~(v94(constB133) <=> (~((~v104(constB133)) | (~v95(constB133)))))) | (~v94(constB133)) | (~((~v104(constB133)) | (~v95(constB133))))),
% 7.97/5.51 inference(tautology,[status(thm)],[])).
% 7.97/5.51 tff(3729,plain,
% 7.97/5.51 (~v94(constB133)),
% 7.97/5.51 inference(unit_resolution,[status(thm)],[3728, 3727, 3713])).
% 7.97/5.51 tff(3730,plain,
% 7.97/5.51 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB133) | (~nextState(constB132, constB133)) | ![B: $i] : ((~less_3(B)) | (v84(constB133, B) <=> v84(constB132, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB133) | (~nextState(constB132, constB133)) | ![B: $i] : ((~less_3(B)) | (v84(constB133, B) <=> v84(constB132, B))))),
% 7.97/5.51 inference(rewrite,[status(thm)],[])).
% 7.97/5.51 tff(3731,plain,
% 7.97/5.51 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB133) | (~nextState(constB132, constB133)) | ![B: $i] : ((~less_3(B)) | (v84(constB133, B) <=> v84(constB132, B))))),
% 7.97/5.51 inference(quant_inst,[status(thm)],[])).
% 7.97/5.51 tff(3732,plain,
% 7.97/5.51 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB133) | (~nextState(constB132, constB133)) | ![B: $i] : ((~less_3(B)) | (v84(constB133, B) <=> v84(constB132, B)))),
% 7.97/5.51 inference(modus_ponens,[status(thm)],[3731, 3730])).
% 7.97/5.51 tff(3733,plain,
% 7.97/5.51 (v94(constB133) | ![B: $i] : ((~less_3(B)) | (v84(constB133, B) <=> v84(constB132, B)))),
% 7.97/5.51 inference(unit_resolution,[status(thm)],[3732, 3709, 824])).
% 7.97/5.51 tff(3734,plain,
% 7.97/5.51 (![B: $i] : ((~less_3(B)) | (v84(constB133, B) <=> v84(constB132, B)))),
% 7.97/5.51 inference(unit_resolution,[status(thm)],[3733, 3729])).
% 7.97/5.51 tff(3735,plain,
% 7.97/5.51 (((~![B: $i] : ((~less_3(B)) | (v84(constB133, B) <=> v84(constB132, B)))) | ((~less_3(bitIndex2)) | (v84(constB133, bitIndex2) <=> v84(constB132, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB133, B) <=> v84(constB132, B)))) | (~less_3(bitIndex2)) | (v84(constB133, bitIndex2) <=> v84(constB132, bitIndex2)))),
% 7.97/5.51 inference(rewrite,[status(thm)],[])).
% 7.97/5.51 tff(3736,plain,
% 7.97/5.51 ((~![B: $i] : ((~less_3(B)) | (v84(constB133, B) <=> v84(constB132, B)))) | ((~less_3(bitIndex2)) | (v84(constB133, bitIndex2) <=> v84(constB132, bitIndex2)))),
% 7.97/5.51 inference(quant_inst,[status(thm)],[])).
% 7.97/5.51 tff(3737,plain,
% 7.97/5.51 ((~![B: $i] : ((~less_3(B)) | (v84(constB133, B) <=> v84(constB132, B)))) | (~less_3(bitIndex2)) | (v84(constB133, bitIndex2) <=> v84(constB132, bitIndex2))),
% 7.97/5.51 inference(modus_ponens,[status(thm)],[3736, 3735])).
% 7.97/5.51 tff(3738,plain,
% 7.97/5.51 (v84(constB133, bitIndex2) <=> v84(constB132, bitIndex2)),
% 7.97/5.51 inference(unit_resolution,[status(thm)],[3737, 832, 3734])).
% 7.97/5.51 tff(3739,plain,
% 7.97/5.51 (nextState(constB131, constB132) <=> nextState(constB131, constB132)),
% 7.97/5.51 inference(rewrite,[status(thm)],[])).
% 7.97/5.51 tff(3740,axiom,(nextState(constB131, constB132)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_131')).
% 7.97/5.51 tff(3741,plain,
% 7.97/5.51 (nextState(constB131, constB132)),
% 7.97/5.51 inference(modus_ponens,[status(thm)],[3740, 3739])).
% 7.97/5.51 tff(3742,plain,
% 7.97/5.51 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB131, constB132)) | (v94(constB132) <=> (~((~v104(constB132)) | (~v95(constB132))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB131, constB132)) | (v94(constB132) <=> (~((~v104(constB132)) | (~v95(constB132))))))),
% 7.97/5.51 inference(rewrite,[status(thm)],[])).
% 7.97/5.51 tff(3743,plain,
% 7.97/5.51 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB131, constB132)) | (v94(constB132) <=> (~((~v104(constB132)) | (~v95(constB132))))))),
% 7.97/5.51 inference(quant_inst,[status(thm)],[])).
% 7.97/5.51 tff(3744,plain,
% 7.97/5.51 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB131, constB132)) | (v94(constB132) <=> (~((~v104(constB132)) | (~v95(constB132)))))),
% 7.97/5.51 inference(modus_ponens,[status(thm)],[3743, 3742])).
% 7.97/5.51 tff(3745,plain,
% 7.97/5.51 (v94(constB132) <=> (~((~v104(constB132)) | (~v95(constB132))))),
% 7.97/5.51 inference(unit_resolution,[status(thm)],[3744, 3741, 775])).
% 7.97/5.51 tff(3746,plain,
% 7.97/5.51 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB131, constB132)) | (v95(constB132) <=> (~((~v1(constB132)) | (~v96(constB132))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB131, constB132)) | (v95(constB132) <=> (~((~v1(constB132)) | (~v96(constB132))))))),
% 7.97/5.51 inference(rewrite,[status(thm)],[])).
% 7.97/5.51 tff(3747,plain,
% 7.97/5.51 (((~nextState(constB131, constB132)) | (v95(constB132) <=> (~((~v96(constB132)) | (~v1(constB132)))))) <=> ((~nextState(constB131, constB132)) | (v95(constB132) <=> (~((~v1(constB132)) | (~v96(constB132))))))),
% 7.97/5.51 inference(rewrite,[status(thm)],[])).
% 7.97/5.51 tff(3748,plain,
% 7.97/5.51 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB131, constB132)) | (v95(constB132) <=> (~((~v96(constB132)) | (~v1(constB132))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB131, constB132)) | (v95(constB132) <=> (~((~v1(constB132)) | (~v96(constB132)))))))),
% 7.97/5.51 inference(monotonicity,[status(thm)],[3747])).
% 7.97/5.51 tff(3749,plain,
% 7.97/5.51 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB131, constB132)) | (v95(constB132) <=> (~((~v96(constB132)) | (~v1(constB132))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB131, constB132)) | (v95(constB132) <=> (~((~v1(constB132)) | (~v96(constB132))))))),
% 7.97/5.52 inference(transitivity,[status(thm)],[3748, 3746])).
% 7.97/5.52 tff(3750,plain,
% 7.97/5.52 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB131, constB132)) | (v95(constB132) <=> (~((~v96(constB132)) | (~v1(constB132))))))),
% 7.97/5.52 inference(quant_inst,[status(thm)],[])).
% 7.97/5.52 tff(3751,plain,
% 7.97/5.52 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB131, constB132)) | (v95(constB132) <=> (~((~v1(constB132)) | (~v96(constB132)))))),
% 7.97/5.52 inference(modus_ponens,[status(thm)],[3750, 3749])).
% 7.97/5.52 tff(3752,plain,
% 7.97/5.52 (v95(constB132) <=> (~((~v1(constB132)) | (~v96(constB132))))),
% 7.97/5.52 inference(unit_resolution,[status(thm)],[3751, 3741, 795])).
% 7.97/5.52 tff(3753,plain,
% 7.97/5.52 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB131, constB132)) | ((~v96(constB132)) <=> v98(constB132)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB131, constB132)) | ((~v96(constB132)) <=> v98(constB132)))),
% 7.97/5.52 inference(rewrite,[status(thm)],[])).
% 7.97/5.52 tff(3754,plain,
% 7.97/5.52 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB131, constB132)) | ((~v96(constB132)) <=> v98(constB132)))),
% 7.97/5.52 inference(quant_inst,[status(thm)],[])).
% 7.97/5.52 tff(3755,plain,
% 7.97/5.52 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB131, constB132)) | ((~v96(constB132)) <=> v98(constB132))),
% 7.97/5.52 inference(modus_ponens,[status(thm)],[3754, 3753])).
% 7.97/5.52 tff(3756,plain,
% 7.97/5.52 ((~v96(constB132)) <=> v98(constB132)),
% 7.97/5.52 inference(unit_resolution,[status(thm)],[3755, 3741, 860])).
% 7.97/5.52 tff(3757,plain,
% 7.97/5.52 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB131, constB132)) | (v98(constB132) <=> v1(constB131)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB131, constB132)) | (v98(constB132) <=> v1(constB131)))),
% 7.97/5.52 inference(rewrite,[status(thm)],[])).
% 7.97/5.52 tff(3758,plain,
% 7.97/5.52 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB131, constB132)) | (v98(constB132) <=> v1(constB131)))),
% 7.97/5.52 inference(quant_inst,[status(thm)],[])).
% 7.97/5.52 tff(3759,plain,
% 7.97/5.52 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB131, constB132)) | (v98(constB132) <=> v1(constB131))),
% 7.97/5.52 inference(modus_ponens,[status(thm)],[3758, 3757])).
% 7.97/5.52 tff(3760,plain,
% 7.97/5.52 (v98(constB132) <=> v1(constB131)),
% 7.97/5.52 inference(unit_resolution,[status(thm)],[3759, 3741, 874])).
% 7.97/5.52 tff(3761,plain,
% 7.97/5.52 ((~v1(constB131)) <=> (~v1(constB131))),
% 7.97/5.52 inference(rewrite,[status(thm)],[])).
% 7.97/5.52 tff(3762,axiom,(~v1(constB131)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_131')).
% 7.97/5.52 tff(3763,plain,
% 7.97/5.52 (~v1(constB131)),
% 7.97/5.52 inference(modus_ponens,[status(thm)],[3762, 3761])).
% 7.97/5.52 tff(3764,plain,
% 7.97/5.52 ((~(v98(constB132) <=> v1(constB131))) | (~v98(constB132)) | v1(constB131)),
% 7.97/5.52 inference(tautology,[status(thm)],[])).
% 7.97/5.52 tff(3765,plain,
% 7.97/5.52 ((~(v98(constB132) <=> v1(constB131))) | (~v98(constB132))),
% 7.97/5.52 inference(unit_resolution,[status(thm)],[3764, 3763])).
% 7.97/5.52 tff(3766,plain,
% 7.97/5.52 (~v98(constB132)),
% 7.97/5.52 inference(unit_resolution,[status(thm)],[3765, 3760])).
% 7.97/5.52 tff(3767,plain,
% 7.97/5.52 ((~((~v96(constB132)) <=> v98(constB132))) | v96(constB132) | v98(constB132)),
% 7.97/5.52 inference(tautology,[status(thm)],[])).
% 7.97/5.52 tff(3768,plain,
% 7.97/5.52 (v96(constB132)),
% 7.97/5.52 inference(unit_resolution,[status(thm)],[3767, 3766, 3756])).
% 7.97/5.52 tff(3769,plain,
% 7.97/5.52 (v1(constB132) <=> v1(constB132)),
% 7.97/5.52 inference(rewrite,[status(thm)],[])).
% 7.97/5.52 tff(3770,axiom,(v1(constB132)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_132')).
% 7.97/5.52 tff(3771,plain,
% 7.97/5.52 (v1(constB132)),
% 7.97/5.52 inference(modus_ponens,[status(thm)],[3770, 3769])).
% 7.97/5.52 tff(3772,plain,
% 7.97/5.52 ((~((~v1(constB132)) | (~v96(constB132)))) | (~v1(constB132)) | (~v96(constB132))),
% 7.97/5.52 inference(tautology,[status(thm)],[])).
% 7.97/5.52 tff(3773,plain,
% 7.97/5.52 ((~((~v1(constB132)) | (~v96(constB132)))) | (~v96(constB132))),
% 7.97/5.52 inference(unit_resolution,[status(thm)],[3772, 3771])).
% 7.97/5.52 tff(3774,plain,
% 7.97/5.52 (~((~v1(constB132)) | (~v96(constB132)))),
% 7.97/5.52 inference(unit_resolution,[status(thm)],[3773, 3768])).
% 7.97/5.52 tff(3775,plain,
% 7.97/5.52 ((~(v95(constB132) <=> (~((~v1(constB132)) | (~v96(constB132)))))) | v95(constB132) | ((~v1(constB132)) | (~v96(constB132)))),
% 7.97/5.52 inference(tautology,[status(thm)],[])).
% 7.97/5.52 tff(3776,plain,
% 7.97/5.52 (v95(constB132)),
% 7.97/5.52 inference(unit_resolution,[status(thm)],[3775, 3774, 3752])).
% 7.97/5.52 tff(3777,plain,
% 7.97/5.52 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB131, constB132)) | (v104(constB132) <=> v102(constB131)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB131, constB132)) | (v104(constB132) <=> v102(constB131)))),
% 7.97/5.52 inference(rewrite,[status(thm)],[])).
% 7.97/5.52 tff(3778,plain,
% 7.97/5.52 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB131, constB132)) | (v104(constB132) <=> v102(constB131)))),
% 7.97/5.52 inference(quant_inst,[status(thm)],[])).
% 7.97/5.52 tff(3779,plain,
% 7.97/5.52 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB131, constB132)) | (v104(constB132) <=> v102(constB131))),
% 7.97/5.52 inference(modus_ponens,[status(thm)],[3778, 3777])).
% 7.97/5.52 tff(3780,plain,
% 7.97/5.52 (v104(constB132) <=> v102(constB131)),
% 7.97/5.52 inference(unit_resolution,[status(thm)],[3779, 3741, 904])).
% 7.97/5.52 tff(3781,plain,
% 7.97/5.52 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB131) <=> (v105(constB131) | v106(constB131)))),
% 7.97/5.52 inference(quant_inst,[status(thm)],[])).
% 7.97/5.52 tff(3782,plain,
% 7.97/5.52 (v102(constB131) <=> (v105(constB131) | v106(constB131))),
% 7.97/5.52 inference(unit_resolution,[status(thm)],[3781, 915])).
% 7.97/5.52 tff(3783,plain,
% 7.97/5.52 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB131) <=> (~((~v107(constB131)) | (~v120(constB131)))))),
% 7.97/5.52 inference(quant_inst,[status(thm)],[])).
% 7.97/5.52 tff(3784,plain,
% 7.97/5.52 (v106(constB131) <=> (~((~v107(constB131)) | (~v120(constB131))))),
% 7.97/5.52 inference(unit_resolution,[status(thm)],[3783, 927])).
% 7.97/5.52 tff(3785,plain,
% 7.97/5.52 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB131) <=> (v108(constB131) | v119(constB131)))),
% 7.97/5.52 inference(quant_inst,[status(thm)],[])).
% 7.97/5.52 tff(3786,plain,
% 7.97/5.52 (v107(constB131) <=> (v108(constB131) | v119(constB131))),
% 7.97/5.52 inference(unit_resolution,[status(thm)],[3785, 936])).
% 7.97/5.52 tff(3787,plain,
% 7.97/5.52 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB131) <=> (v109(constB131) | v118(constB131)))),
% 7.97/5.52 inference(quant_inst,[status(thm)],[])).
% 7.97/5.52 tff(3788,plain,
% 7.97/5.52 (v108(constB131) <=> (v109(constB131) | v118(constB131))),
% 7.97/5.52 inference(unit_resolution,[status(thm)],[3787, 945])).
% 7.97/5.52 tff(3789,plain,
% 7.97/5.52 (((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB131) <=> (~((~v84(constB131, bitIndex2)) | v84(constB131, bitIndex1) | (~v84(constB131, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB131) <=> (~((~v84(constB131, bitIndex2)) | v84(constB131, bitIndex1) | (~v84(constB131, bitIndex0))))))),
% 7.97/5.52 inference(rewrite,[status(thm)],[])).
% 7.97/5.52 tff(3790,plain,
% 7.97/5.52 ((v118(constB131) <=> (~(v84(constB131, bitIndex1) | (~v84(constB131, bitIndex0)) | (~v84(constB131, bitIndex2))))) <=> (v118(constB131) <=> (~((~v84(constB131, bitIndex2)) | v84(constB131, bitIndex1) | (~v84(constB131, bitIndex0)))))),
% 7.97/5.52 inference(rewrite,[status(thm)],[])).
% 7.97/5.52 tff(3791,plain,
% 7.97/5.52 (((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB131) <=> (~(v84(constB131, bitIndex1) | (~v84(constB131, bitIndex0)) | (~v84(constB131, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB131) <=> (~((~v84(constB131, bitIndex2)) | v84(constB131, bitIndex1) | (~v84(constB131, bitIndex0))))))),
% 7.97/5.52 inference(monotonicity,[status(thm)],[3790])).
% 7.97/5.52 tff(3792,plain,
% 7.97/5.52 (((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB131) <=> (~(v84(constB131, bitIndex1) | (~v84(constB131, bitIndex0)) | (~v84(constB131, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB131) <=> (~((~v84(constB131, bitIndex2)) | v84(constB131, bitIndex1) | (~v84(constB131, bitIndex0))))))),
% 7.97/5.52 inference(transitivity,[status(thm)],[3791, 3789])).
% 7.97/5.52 tff(3793,plain,
% 7.97/5.52 ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB131) <=> (~(v84(constB131, bitIndex1) | (~v84(constB131, bitIndex0)) | (~v84(constB131, bitIndex2)))))),
% 7.97/5.52 inference(quant_inst,[status(thm)],[])).
% 7.97/5.52 tff(3794,plain,
% 7.97/5.52 ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB131) <=> (~((~v84(constB131, bitIndex2)) | v84(constB131, bitIndex1) | (~v84(constB131, bitIndex0)))))),
% 7.97/5.52 inference(modus_ponens,[status(thm)],[3793, 3792])).
% 7.97/5.52 tff(3795,plain,
% 7.97/5.52 (v118(constB131) <=> (~((~v84(constB131, bitIndex2)) | v84(constB131, bitIndex1) | (~v84(constB131, bitIndex0))))),
% 7.97/5.52 inference(unit_resolution,[status(thm)],[3794, 960])).
% 7.97/5.52 tff(3796,plain,
% 7.97/5.52 (nextState(constB130, constB131) <=> nextState(constB130, constB131)),
% 7.97/5.52 inference(rewrite,[status(thm)],[])).
% 7.97/5.52 tff(3797,axiom,(nextState(constB130, constB131)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_130')).
% 7.97/5.52 tff(3798,plain,
% 7.97/5.52 (nextState(constB130, constB131)),
% 7.97/5.52 inference(modus_ponens,[status(thm)],[3797, 3796])).
% 7.97/5.52 tff(3799,plain,
% 7.97/5.52 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB130, constB131)) | (v94(constB131) <=> (~((~v104(constB131)) | (~v95(constB131))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB130, constB131)) | (v94(constB131) <=> (~((~v104(constB131)) | (~v95(constB131))))))),
% 7.97/5.52 inference(rewrite,[status(thm)],[])).
% 7.97/5.52 tff(3800,plain,
% 7.97/5.52 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB130, constB131)) | (v94(constB131) <=> (~((~v104(constB131)) | (~v95(constB131))))))),
% 7.97/5.52 inference(quant_inst,[status(thm)],[])).
% 7.97/5.52 tff(3801,plain,
% 7.97/5.52 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB130, constB131)) | (v94(constB131) <=> (~((~v104(constB131)) | (~v95(constB131)))))),
% 7.97/5.52 inference(modus_ponens,[status(thm)],[3800, 3799])).
% 7.97/5.52 tff(3802,plain,
% 7.97/5.52 (v94(constB131) <=> (~((~v104(constB131)) | (~v95(constB131))))),
% 7.97/5.52 inference(unit_resolution,[status(thm)],[3801, 3798, 775])).
% 7.97/5.52 tff(3803,plain,
% 7.97/5.52 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB130, constB131)) | (v95(constB131) <=> (~((~v1(constB131)) | (~v96(constB131))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB130, constB131)) | (v95(constB131) <=> (~((~v1(constB131)) | (~v96(constB131))))))),
% 7.97/5.52 inference(rewrite,[status(thm)],[])).
% 7.97/5.52 tff(3804,plain,
% 7.97/5.52 (((~nextState(constB130, constB131)) | (v95(constB131) <=> (~((~v96(constB131)) | (~v1(constB131)))))) <=> ((~nextState(constB130, constB131)) | (v95(constB131) <=> (~((~v1(constB131)) | (~v96(constB131))))))),
% 7.97/5.52 inference(rewrite,[status(thm)],[])).
% 7.97/5.52 tff(3805,plain,
% 7.97/5.52 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB130, constB131)) | (v95(constB131) <=> (~((~v96(constB131)) | (~v1(constB131))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB130, constB131)) | (v95(constB131) <=> (~((~v1(constB131)) | (~v96(constB131)))))))),
% 7.97/5.52 inference(monotonicity,[status(thm)],[3804])).
% 7.97/5.52 tff(3806,plain,
% 7.97/5.52 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB130, constB131)) | (v95(constB131) <=> (~((~v96(constB131)) | (~v1(constB131))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB130, constB131)) | (v95(constB131) <=> (~((~v1(constB131)) | (~v96(constB131))))))),
% 7.97/5.52 inference(transitivity,[status(thm)],[3805, 3803])).
% 7.97/5.52 tff(3807,plain,
% 7.97/5.52 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB130, constB131)) | (v95(constB131) <=> (~((~v96(constB131)) | (~v1(constB131))))))),
% 7.97/5.52 inference(quant_inst,[status(thm)],[])).
% 7.97/5.52 tff(3808,plain,
% 7.97/5.52 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB130, constB131)) | (v95(constB131) <=> (~((~v1(constB131)) | (~v96(constB131)))))),
% 7.97/5.52 inference(modus_ponens,[status(thm)],[3807, 3806])).
% 7.97/5.52 tff(3809,plain,
% 7.97/5.52 (v95(constB131) <=> (~((~v1(constB131)) | (~v96(constB131))))),
% 7.97/5.52 inference(unit_resolution,[status(thm)],[3808, 3798, 795])).
% 7.97/5.52 tff(3810,plain,
% 7.97/5.52 (((~v1(constB131)) | (~v96(constB131))) | v1(constB131)),
% 7.97/5.52 inference(tautology,[status(thm)],[])).
% 7.97/5.52 tff(3811,plain,
% 7.97/5.52 ((~v1(constB131)) | (~v96(constB131))),
% 7.97/5.52 inference(unit_resolution,[status(thm)],[3810, 3763])).
% 7.97/5.52 tff(3812,plain,
% 7.97/5.52 ((~(v95(constB131) <=> (~((~v1(constB131)) | (~v96(constB131)))))) | (~v95(constB131)) | (~((~v1(constB131)) | (~v96(constB131))))),
% 7.97/5.52 inference(tautology,[status(thm)],[])).
% 7.97/5.52 tff(3813,plain,
% 7.97/5.52 ((~(v95(constB131) <=> (~((~v1(constB131)) | (~v96(constB131)))))) | (~v95(constB131))),
% 7.97/5.52 inference(unit_resolution,[status(thm)],[3812, 3811])).
% 7.97/5.52 tff(3814,plain,
% 7.97/5.52 (~v95(constB131)),
% 7.97/5.52 inference(unit_resolution,[status(thm)],[3813, 3809])).
% 7.97/5.52 tff(3815,plain,
% 7.97/5.52 (((~v104(constB131)) | (~v95(constB131))) | v95(constB131)),
% 7.97/5.52 inference(tautology,[status(thm)],[])).
% 7.97/5.52 tff(3816,plain,
% 7.97/5.52 ((~v104(constB131)) | (~v95(constB131))),
% 7.97/5.52 inference(unit_resolution,[status(thm)],[3815, 3814])).
% 7.97/5.52 tff(3817,plain,
% 7.97/5.52 ((~(v94(constB131) <=> (~((~v104(constB131)) | (~v95(constB131)))))) | (~v94(constB131)) | (~((~v104(constB131)) | (~v95(constB131))))),
% 7.97/5.52 inference(tautology,[status(thm)],[])).
% 7.97/5.52 tff(3818,plain,
% 7.97/5.52 (~v94(constB131)),
% 7.97/5.52 inference(unit_resolution,[status(thm)],[3817, 3816, 3802])).
% 7.97/5.52 tff(3819,plain,
% 7.97/5.52 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB131) | (~nextState(constB130, constB131)) | ![B: $i] : ((~less_3(B)) | (v84(constB131, B) <=> v84(constB130, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB131) | (~nextState(constB130, constB131)) | ![B: $i] : ((~less_3(B)) | (v84(constB131, B) <=> v84(constB130, B))))),
% 7.97/5.52 inference(rewrite,[status(thm)],[])).
% 7.97/5.52 tff(3820,plain,
% 7.97/5.52 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB131) | (~nextState(constB130, constB131)) | ![B: $i] : ((~less_3(B)) | (v84(constB131, B) <=> v84(constB130, B))))),
% 7.97/5.52 inference(quant_inst,[status(thm)],[])).
% 7.97/5.52 tff(3821,plain,
% 7.97/5.52 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB131) | (~nextState(constB130, constB131)) | ![B: $i] : ((~less_3(B)) | (v84(constB131, B) <=> v84(constB130, B)))),
% 7.97/5.52 inference(modus_ponens,[status(thm)],[3820, 3819])).
% 7.97/5.52 tff(3822,plain,
% 7.97/5.52 (v94(constB131) | ![B: $i] : ((~less_3(B)) | (v84(constB131, B) <=> v84(constB130, B)))),
% 7.97/5.52 inference(unit_resolution,[status(thm)],[3821, 3798, 824])).
% 7.97/5.52 tff(3823,plain,
% 7.97/5.52 (![B: $i] : ((~less_3(B)) | (v84(constB131, B) <=> v84(constB130, B)))),
% 7.97/5.52 inference(unit_resolution,[status(thm)],[3822, 3818])).
% 7.97/5.52 tff(3824,plain,
% 7.97/5.52 (((~![B: $i] : ((~less_3(B)) | (v84(constB131, B) <=> v84(constB130, B)))) | ((~less_3(bitIndex2)) | (v84(constB131, bitIndex2) <=> v84(constB130, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB131, B) <=> v84(constB130, B)))) | (~less_3(bitIndex2)) | (v84(constB131, bitIndex2) <=> v84(constB130, bitIndex2)))),
% 7.97/5.52 inference(rewrite,[status(thm)],[])).
% 7.97/5.52 tff(3825,plain,
% 7.97/5.52 ((~![B: $i] : ((~less_3(B)) | (v84(constB131, B) <=> v84(constB130, B)))) | ((~less_3(bitIndex2)) | (v84(constB131, bitIndex2) <=> v84(constB130, bitIndex2)))),
% 7.97/5.52 inference(quant_inst,[status(thm)],[])).
% 7.97/5.52 tff(3826,plain,
% 7.97/5.52 ((~![B: $i] : ((~less_3(B)) | (v84(constB131, B) <=> v84(constB130, B)))) | (~less_3(bitIndex2)) | (v84(constB131, bitIndex2) <=> v84(constB130, bitIndex2))),
% 7.97/5.52 inference(modus_ponens,[status(thm)],[3825, 3824])).
% 7.97/5.52 tff(3827,plain,
% 7.97/5.52 (v84(constB131, bitIndex2) <=> v84(constB130, bitIndex2)),
% 7.97/5.52 inference(unit_resolution,[status(thm)],[3826, 832, 3823])).
% 7.97/5.52 tff(3828,plain,
% 8.01/5.52 (nextState(constB129, constB130) <=> nextState(constB129, constB130)),
% 8.01/5.52 inference(rewrite,[status(thm)],[])).
% 8.01/5.52 tff(3829,axiom,(nextState(constB129, constB130)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_129')).
% 8.01/5.52 tff(3830,plain,
% 8.01/5.52 (nextState(constB129, constB130)),
% 8.01/5.52 inference(modus_ponens,[status(thm)],[3829, 3828])).
% 8.01/5.52 tff(3831,plain,
% 8.01/5.52 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB129, constB130)) | (v94(constB130) <=> (~((~v104(constB130)) | (~v95(constB130))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB129, constB130)) | (v94(constB130) <=> (~((~v104(constB130)) | (~v95(constB130))))))),
% 8.01/5.52 inference(rewrite,[status(thm)],[])).
% 8.01/5.52 tff(3832,plain,
% 8.01/5.52 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB129, constB130)) | (v94(constB130) <=> (~((~v104(constB130)) | (~v95(constB130))))))),
% 8.01/5.52 inference(quant_inst,[status(thm)],[])).
% 8.01/5.52 tff(3833,plain,
% 8.01/5.52 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB129, constB130)) | (v94(constB130) <=> (~((~v104(constB130)) | (~v95(constB130)))))),
% 8.01/5.52 inference(modus_ponens,[status(thm)],[3832, 3831])).
% 8.01/5.52 tff(3834,plain,
% 8.01/5.52 (v94(constB130) <=> (~((~v104(constB130)) | (~v95(constB130))))),
% 8.01/5.52 inference(unit_resolution,[status(thm)],[3833, 3830, 775])).
% 8.01/5.52 tff(3835,plain,
% 8.01/5.52 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB129, constB130)) | (v95(constB130) <=> (~((~v1(constB130)) | (~v96(constB130))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB129, constB130)) | (v95(constB130) <=> (~((~v1(constB130)) | (~v96(constB130))))))),
% 8.01/5.52 inference(rewrite,[status(thm)],[])).
% 8.01/5.52 tff(3836,plain,
% 8.01/5.52 (((~nextState(constB129, constB130)) | (v95(constB130) <=> (~((~v96(constB130)) | (~v1(constB130)))))) <=> ((~nextState(constB129, constB130)) | (v95(constB130) <=> (~((~v1(constB130)) | (~v96(constB130))))))),
% 8.01/5.52 inference(rewrite,[status(thm)],[])).
% 8.01/5.52 tff(3837,plain,
% 8.01/5.52 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB129, constB130)) | (v95(constB130) <=> (~((~v96(constB130)) | (~v1(constB130))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB129, constB130)) | (v95(constB130) <=> (~((~v1(constB130)) | (~v96(constB130)))))))),
% 8.01/5.52 inference(monotonicity,[status(thm)],[3836])).
% 8.01/5.52 tff(3838,plain,
% 8.01/5.52 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB129, constB130)) | (v95(constB130) <=> (~((~v96(constB130)) | (~v1(constB130))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB129, constB130)) | (v95(constB130) <=> (~((~v1(constB130)) | (~v96(constB130))))))),
% 8.01/5.52 inference(transitivity,[status(thm)],[3837, 3835])).
% 8.01/5.52 tff(3839,plain,
% 8.01/5.52 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB129, constB130)) | (v95(constB130) <=> (~((~v96(constB130)) | (~v1(constB130))))))),
% 8.01/5.52 inference(quant_inst,[status(thm)],[])).
% 8.01/5.52 tff(3840,plain,
% 8.01/5.52 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB129, constB130)) | (v95(constB130) <=> (~((~v1(constB130)) | (~v96(constB130)))))),
% 8.01/5.52 inference(modus_ponens,[status(thm)],[3839, 3838])).
% 8.01/5.52 tff(3841,plain,
% 8.01/5.52 (v95(constB130) <=> (~((~v1(constB130)) | (~v96(constB130))))),
% 8.01/5.52 inference(unit_resolution,[status(thm)],[3840, 3830, 795])).
% 8.01/5.52 tff(3842,plain,
% 8.01/5.52 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB129, constB130)) | ((~v96(constB130)) <=> v98(constB130)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB129, constB130)) | ((~v96(constB130)) <=> v98(constB130)))),
% 8.01/5.52 inference(rewrite,[status(thm)],[])).
% 8.01/5.52 tff(3843,plain,
% 8.01/5.52 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB129, constB130)) | ((~v96(constB130)) <=> v98(constB130)))),
% 8.01/5.52 inference(quant_inst,[status(thm)],[])).
% 8.01/5.52 tff(3844,plain,
% 8.01/5.52 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB129, constB130)) | ((~v96(constB130)) <=> v98(constB130))),
% 8.01/5.52 inference(modus_ponens,[status(thm)],[3843, 3842])).
% 8.01/5.52 tff(3845,plain,
% 8.01/5.52 ((~v96(constB130)) <=> v98(constB130)),
% 8.01/5.52 inference(unit_resolution,[status(thm)],[3844, 3830, 860])).
% 8.01/5.52 tff(3846,plain,
% 8.01/5.52 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB129, constB130)) | (v98(constB130) <=> v1(constB129)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB129, constB130)) | (v98(constB130) <=> v1(constB129)))),
% 8.01/5.52 inference(rewrite,[status(thm)],[])).
% 8.01/5.52 tff(3847,plain,
% 8.01/5.52 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB129, constB130)) | (v98(constB130) <=> v1(constB129)))),
% 8.01/5.52 inference(quant_inst,[status(thm)],[])).
% 8.01/5.52 tff(3848,plain,
% 8.01/5.52 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB129, constB130)) | (v98(constB130) <=> v1(constB129))),
% 8.01/5.52 inference(modus_ponens,[status(thm)],[3847, 3846])).
% 8.01/5.52 tff(3849,plain,
% 8.01/5.52 (v98(constB130) <=> v1(constB129)),
% 8.01/5.52 inference(unit_resolution,[status(thm)],[3848, 3830, 874])).
% 8.01/5.52 tff(3850,plain,
% 8.01/5.52 ((~v1(constB129)) <=> (~v1(constB129))),
% 8.01/5.52 inference(rewrite,[status(thm)],[])).
% 8.01/5.52 tff(3851,axiom,(~v1(constB129)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_129')).
% 8.01/5.52 tff(3852,plain,
% 8.01/5.52 (~v1(constB129)),
% 8.01/5.52 inference(modus_ponens,[status(thm)],[3851, 3850])).
% 8.01/5.52 tff(3853,plain,
% 8.01/5.52 ((~(v98(constB130) <=> v1(constB129))) | (~v98(constB130)) | v1(constB129)),
% 8.01/5.52 inference(tautology,[status(thm)],[])).
% 8.01/5.52 tff(3854,plain,
% 8.01/5.52 ((~(v98(constB130) <=> v1(constB129))) | (~v98(constB130))),
% 8.01/5.52 inference(unit_resolution,[status(thm)],[3853, 3852])).
% 8.01/5.52 tff(3855,plain,
% 8.01/5.52 (~v98(constB130)),
% 8.01/5.52 inference(unit_resolution,[status(thm)],[3854, 3849])).
% 8.01/5.52 tff(3856,plain,
% 8.01/5.52 ((~((~v96(constB130)) <=> v98(constB130))) | v96(constB130) | v98(constB130)),
% 8.01/5.52 inference(tautology,[status(thm)],[])).
% 8.01/5.52 tff(3857,plain,
% 8.01/5.52 (v96(constB130)),
% 8.01/5.52 inference(unit_resolution,[status(thm)],[3856, 3855, 3845])).
% 8.01/5.52 tff(3858,plain,
% 8.01/5.52 (v1(constB130) <=> v1(constB130)),
% 8.01/5.52 inference(rewrite,[status(thm)],[])).
% 8.01/5.52 tff(3859,axiom,(v1(constB130)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_130')).
% 8.01/5.52 tff(3860,plain,
% 8.01/5.52 (v1(constB130)),
% 8.01/5.52 inference(modus_ponens,[status(thm)],[3859, 3858])).
% 8.01/5.52 tff(3861,plain,
% 8.01/5.52 ((~((~v1(constB130)) | (~v96(constB130)))) | (~v1(constB130)) | (~v96(constB130))),
% 8.01/5.52 inference(tautology,[status(thm)],[])).
% 8.01/5.52 tff(3862,plain,
% 8.01/5.52 ((~((~v1(constB130)) | (~v96(constB130)))) | (~v96(constB130))),
% 8.01/5.52 inference(unit_resolution,[status(thm)],[3861, 3860])).
% 8.01/5.52 tff(3863,plain,
% 8.01/5.52 (~((~v1(constB130)) | (~v96(constB130)))),
% 8.01/5.52 inference(unit_resolution,[status(thm)],[3862, 3857])).
% 8.01/5.52 tff(3864,plain,
% 8.01/5.52 ((~(v95(constB130) <=> (~((~v1(constB130)) | (~v96(constB130)))))) | v95(constB130) | ((~v1(constB130)) | (~v96(constB130)))),
% 8.01/5.52 inference(tautology,[status(thm)],[])).
% 8.01/5.52 tff(3865,plain,
% 8.01/5.52 (v95(constB130)),
% 8.01/5.52 inference(unit_resolution,[status(thm)],[3864, 3863, 3841])).
% 8.01/5.52 tff(3866,plain,
% 8.01/5.52 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB129, constB130)) | (v104(constB130) <=> v102(constB129)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB129, constB130)) | (v104(constB130) <=> v102(constB129)))),
% 8.01/5.52 inference(rewrite,[status(thm)],[])).
% 8.01/5.52 tff(3867,plain,
% 8.01/5.52 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB129, constB130)) | (v104(constB130) <=> v102(constB129)))),
% 8.01/5.52 inference(quant_inst,[status(thm)],[])).
% 8.01/5.52 tff(3868,plain,
% 8.01/5.52 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB129, constB130)) | (v104(constB130) <=> v102(constB129))),
% 8.01/5.52 inference(modus_ponens,[status(thm)],[3867, 3866])).
% 8.01/5.52 tff(3869,plain,
% 8.01/5.52 (v104(constB130) <=> v102(constB129)),
% 8.01/5.52 inference(unit_resolution,[status(thm)],[3868, 3830, 904])).
% 8.01/5.52 tff(3870,plain,
% 8.01/5.52 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB129) <=> (v105(constB129) | v106(constB129)))),
% 8.01/5.52 inference(quant_inst,[status(thm)],[])).
% 8.01/5.52 tff(3871,plain,
% 8.01/5.52 (v102(constB129) <=> (v105(constB129) | v106(constB129))),
% 8.01/5.52 inference(unit_resolution,[status(thm)],[3870, 915])).
% 8.01/5.52 tff(3872,plain,
% 8.01/5.52 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB129) <=> (~((~v107(constB129)) | (~v120(constB129)))))),
% 8.01/5.52 inference(quant_inst,[status(thm)],[])).
% 8.01/5.52 tff(3873,plain,
% 8.01/5.52 (v106(constB129) <=> (~((~v107(constB129)) | (~v120(constB129))))),
% 8.01/5.52 inference(unit_resolution,[status(thm)],[3872, 927])).
% 8.01/5.52 tff(3874,plain,
% 8.01/5.52 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB129) <=> (v108(constB129) | v119(constB129)))),
% 8.01/5.52 inference(quant_inst,[status(thm)],[])).
% 8.01/5.52 tff(3875,plain,
% 8.01/5.52 (v107(constB129) <=> (v108(constB129) | v119(constB129))),
% 8.01/5.52 inference(unit_resolution,[status(thm)],[3874, 936])).
% 8.01/5.52 tff(3876,plain,
% 8.01/5.52 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB129) <=> (v109(constB129) | v118(constB129)))),
% 8.01/5.52 inference(quant_inst,[status(thm)],[])).
% 8.01/5.52 tff(3877,plain,
% 8.01/5.52 (v108(constB129) <=> (v109(constB129) | v118(constB129))),
% 8.01/5.52 inference(unit_resolution,[status(thm)],[3876, 945])).
% 8.01/5.52 tff(3878,plain,
% 8.01/5.52 ((~![VarCurr: $i] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB129) <=> (v110(constB129) | v117(constB129)))),
% 8.01/5.52 inference(quant_inst,[status(thm)],[])).
% 8.01/5.52 tff(3879,plain,
% 8.01/5.52 (v109(constB129) <=> (v110(constB129) | v117(constB129))),
% 8.01/5.52 inference(unit_resolution,[status(thm)],[3878, 1056])).
% 8.01/5.52 tff(3880,plain,
% 8.01/5.52 (((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB129) <=> (~((~v84(constB129, bitIndex2)) | v84(constB129, bitIndex1) | v84(constB129, bitIndex0))))) <=> ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB129) <=> (~((~v84(constB129, bitIndex2)) | v84(constB129, bitIndex1) | v84(constB129, bitIndex0)))))),
% 8.01/5.52 inference(rewrite,[status(thm)],[])).
% 8.01/5.52 tff(3881,plain,
% 8.01/5.52 ((v117(constB129) <=> (~(v84(constB129, bitIndex0) | v84(constB129, bitIndex1) | (~v84(constB129, bitIndex2))))) <=> (v117(constB129) <=> (~((~v84(constB129, bitIndex2)) | v84(constB129, bitIndex1) | v84(constB129, bitIndex0))))),
% 8.01/5.52 inference(rewrite,[status(thm)],[])).
% 8.01/5.52 tff(3882,plain,
% 8.01/5.52 (((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB129) <=> (~(v84(constB129, bitIndex0) | v84(constB129, bitIndex1) | (~v84(constB129, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB129) <=> (~((~v84(constB129, bitIndex2)) | v84(constB129, bitIndex1) | v84(constB129, bitIndex0)))))),
% 8.01/5.52 inference(monotonicity,[status(thm)],[3881])).
% 8.01/5.52 tff(3883,plain,
% 8.01/5.52 (((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB129) <=> (~(v84(constB129, bitIndex0) | v84(constB129, bitIndex1) | (~v84(constB129, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB129) <=> (~((~v84(constB129, bitIndex2)) | v84(constB129, bitIndex1) | v84(constB129, bitIndex0)))))),
% 8.01/5.52 inference(transitivity,[status(thm)],[3882, 3880])).
% 8.01/5.52 tff(3884,plain,
% 8.01/5.52 ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB129) <=> (~(v84(constB129, bitIndex0) | v84(constB129, bitIndex1) | (~v84(constB129, bitIndex2)))))),
% 8.01/5.52 inference(quant_inst,[status(thm)],[])).
% 8.01/5.52 tff(3885,plain,
% 8.01/5.52 ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB129) <=> (~((~v84(constB129, bitIndex2)) | v84(constB129, bitIndex1) | v84(constB129, bitIndex0))))),
% 8.01/5.52 inference(modus_ponens,[status(thm)],[3884, 3883])).
% 8.01/5.52 tff(3886,plain,
% 8.01/5.52 (v117(constB129) <=> (~((~v84(constB129, bitIndex2)) | v84(constB129, bitIndex1) | v84(constB129, bitIndex0)))),
% 8.01/5.52 inference(unit_resolution,[status(thm)],[3885, 1071])).
% 8.01/5.52 tff(3887,plain,
% 8.01/5.52 (nextState(constB128, constB129) <=> nextState(constB128, constB129)),
% 8.01/5.52 inference(rewrite,[status(thm)],[])).
% 8.01/5.52 tff(3888,axiom,(nextState(constB128, constB129)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_128')).
% 8.01/5.52 tff(3889,plain,
% 8.01/5.52 (nextState(constB128, constB129)),
% 8.01/5.52 inference(modus_ponens,[status(thm)],[3888, 3887])).
% 8.01/5.52 tff(3890,plain,
% 8.01/5.52 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB128, constB129)) | (v94(constB129) <=> (~((~v104(constB129)) | (~v95(constB129))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB128, constB129)) | (v94(constB129) <=> (~((~v104(constB129)) | (~v95(constB129))))))),
% 8.01/5.52 inference(rewrite,[status(thm)],[])).
% 8.01/5.52 tff(3891,plain,
% 8.01/5.52 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB128, constB129)) | (v94(constB129) <=> (~((~v104(constB129)) | (~v95(constB129))))))),
% 8.01/5.52 inference(quant_inst,[status(thm)],[])).
% 8.01/5.52 tff(3892,plain,
% 8.01/5.52 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB128, constB129)) | (v94(constB129) <=> (~((~v104(constB129)) | (~v95(constB129)))))),
% 8.01/5.52 inference(modus_ponens,[status(thm)],[3891, 3890])).
% 8.01/5.52 tff(3893,plain,
% 8.01/5.52 (v94(constB129) <=> (~((~v104(constB129)) | (~v95(constB129))))),
% 8.01/5.52 inference(unit_resolution,[status(thm)],[3892, 3889, 775])).
% 8.01/5.52 tff(3894,plain,
% 8.01/5.52 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB128, constB129)) | (v95(constB129) <=> (~((~v1(constB129)) | (~v96(constB129))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB128, constB129)) | (v95(constB129) <=> (~((~v1(constB129)) | (~v96(constB129))))))),
% 8.01/5.52 inference(rewrite,[status(thm)],[])).
% 8.01/5.52 tff(3895,plain,
% 8.01/5.52 (((~nextState(constB128, constB129)) | (v95(constB129) <=> (~((~v96(constB129)) | (~v1(constB129)))))) <=> ((~nextState(constB128, constB129)) | (v95(constB129) <=> (~((~v1(constB129)) | (~v96(constB129))))))),
% 8.01/5.52 inference(rewrite,[status(thm)],[])).
% 8.01/5.52 tff(3896,plain,
% 8.01/5.52 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB128, constB129)) | (v95(constB129) <=> (~((~v96(constB129)) | (~v1(constB129))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB128, constB129)) | (v95(constB129) <=> (~((~v1(constB129)) | (~v96(constB129)))))))),
% 8.01/5.52 inference(monotonicity,[status(thm)],[3895])).
% 8.01/5.52 tff(3897,plain,
% 8.01/5.52 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB128, constB129)) | (v95(constB129) <=> (~((~v96(constB129)) | (~v1(constB129))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB128, constB129)) | (v95(constB129) <=> (~((~v1(constB129)) | (~v96(constB129))))))),
% 8.01/5.52 inference(transitivity,[status(thm)],[3896, 3894])).
% 8.01/5.52 tff(3898,plain,
% 8.01/5.52 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB128, constB129)) | (v95(constB129) <=> (~((~v96(constB129)) | (~v1(constB129))))))),
% 8.01/5.52 inference(quant_inst,[status(thm)],[])).
% 8.01/5.52 tff(3899,plain,
% 8.01/5.52 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB128, constB129)) | (v95(constB129) <=> (~((~v1(constB129)) | (~v96(constB129)))))),
% 8.01/5.52 inference(modus_ponens,[status(thm)],[3898, 3897])).
% 8.01/5.52 tff(3900,plain,
% 8.01/5.52 (v95(constB129) <=> (~((~v1(constB129)) | (~v96(constB129))))),
% 8.01/5.52 inference(unit_resolution,[status(thm)],[3899, 3889, 795])).
% 8.01/5.52 tff(3901,plain,
% 8.01/5.52 (((~v1(constB129)) | (~v96(constB129))) | v1(constB129)),
% 8.01/5.52 inference(tautology,[status(thm)],[])).
% 8.01/5.52 tff(3902,plain,
% 8.01/5.52 ((~v1(constB129)) | (~v96(constB129))),
% 8.01/5.52 inference(unit_resolution,[status(thm)],[3901, 3852])).
% 8.01/5.53 tff(3903,plain,
% 8.01/5.53 ((~(v95(constB129) <=> (~((~v1(constB129)) | (~v96(constB129)))))) | (~v95(constB129)) | (~((~v1(constB129)) | (~v96(constB129))))),
% 8.01/5.53 inference(tautology,[status(thm)],[])).
% 8.01/5.53 tff(3904,plain,
% 8.01/5.53 ((~(v95(constB129) <=> (~((~v1(constB129)) | (~v96(constB129)))))) | (~v95(constB129))),
% 8.01/5.53 inference(unit_resolution,[status(thm)],[3903, 3902])).
% 8.01/5.53 tff(3905,plain,
% 8.01/5.53 (~v95(constB129)),
% 8.01/5.53 inference(unit_resolution,[status(thm)],[3904, 3900])).
% 8.01/5.53 tff(3906,plain,
% 8.01/5.53 (((~v104(constB129)) | (~v95(constB129))) | v95(constB129)),
% 8.01/5.53 inference(tautology,[status(thm)],[])).
% 8.01/5.53 tff(3907,plain,
% 8.01/5.53 ((~v104(constB129)) | (~v95(constB129))),
% 8.01/5.53 inference(unit_resolution,[status(thm)],[3906, 3905])).
% 8.01/5.53 tff(3908,plain,
% 8.01/5.53 ((~(v94(constB129) <=> (~((~v104(constB129)) | (~v95(constB129)))))) | (~v94(constB129)) | (~((~v104(constB129)) | (~v95(constB129))))),
% 8.01/5.53 inference(tautology,[status(thm)],[])).
% 8.01/5.53 tff(3909,plain,
% 8.01/5.53 (~v94(constB129)),
% 8.01/5.53 inference(unit_resolution,[status(thm)],[3908, 3907, 3893])).
% 8.01/5.53 tff(3910,plain,
% 8.01/5.53 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB129) | (~nextState(constB128, constB129)) | ![B: $i] : ((~less_3(B)) | (v84(constB129, B) <=> v84(constB128, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB129) | (~nextState(constB128, constB129)) | ![B: $i] : ((~less_3(B)) | (v84(constB129, B) <=> v84(constB128, B))))),
% 8.01/5.53 inference(rewrite,[status(thm)],[])).
% 8.01/5.53 tff(3911,plain,
% 8.01/5.53 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB129) | (~nextState(constB128, constB129)) | ![B: $i] : ((~less_3(B)) | (v84(constB129, B) <=> v84(constB128, B))))),
% 8.01/5.53 inference(quant_inst,[status(thm)],[])).
% 8.01/5.53 tff(3912,plain,
% 8.01/5.53 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB129) | (~nextState(constB128, constB129)) | ![B: $i] : ((~less_3(B)) | (v84(constB129, B) <=> v84(constB128, B)))),
% 8.01/5.53 inference(modus_ponens,[status(thm)],[3911, 3910])).
% 8.01/5.53 tff(3913,plain,
% 8.01/5.53 (v94(constB129) | ![B: $i] : ((~less_3(B)) | (v84(constB129, B) <=> v84(constB128, B)))),
% 8.01/5.53 inference(unit_resolution,[status(thm)],[3912, 3889, 824])).
% 8.01/5.53 tff(3914,plain,
% 8.01/5.53 (![B: $i] : ((~less_3(B)) | (v84(constB129, B) <=> v84(constB128, B)))),
% 8.01/5.53 inference(unit_resolution,[status(thm)],[3913, 3909])).
% 8.01/5.53 tff(3915,plain,
% 8.01/5.53 (((~![B: $i] : ((~less_3(B)) | (v84(constB129, B) <=> v84(constB128, B)))) | ((~less_3(bitIndex2)) | (v84(constB129, bitIndex2) <=> v84(constB128, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB129, B) <=> v84(constB128, B)))) | (~less_3(bitIndex2)) | (v84(constB129, bitIndex2) <=> v84(constB128, bitIndex2)))),
% 8.01/5.53 inference(rewrite,[status(thm)],[])).
% 8.01/5.53 tff(3916,plain,
% 8.01/5.53 ((~![B: $i] : ((~less_3(B)) | (v84(constB129, B) <=> v84(constB128, B)))) | ((~less_3(bitIndex2)) | (v84(constB129, bitIndex2) <=> v84(constB128, bitIndex2)))),
% 8.01/5.53 inference(quant_inst,[status(thm)],[])).
% 8.01/5.53 tff(3917,plain,
% 8.01/5.53 ((~![B: $i] : ((~less_3(B)) | (v84(constB129, B) <=> v84(constB128, B)))) | (~less_3(bitIndex2)) | (v84(constB129, bitIndex2) <=> v84(constB128, bitIndex2))),
% 8.01/5.53 inference(modus_ponens,[status(thm)],[3916, 3915])).
% 8.01/5.53 tff(3918,plain,
% 8.01/5.53 (v84(constB129, bitIndex2) <=> v84(constB128, bitIndex2)),
% 8.01/5.53 inference(unit_resolution,[status(thm)],[3917, 832, 3914])).
% 8.01/5.53 tff(3919,plain,
% 8.01/5.53 (nextState(constB127, constB128) <=> nextState(constB127, constB128)),
% 8.01/5.53 inference(rewrite,[status(thm)],[])).
% 8.01/5.53 tff(3920,axiom,(nextState(constB127, constB128)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_127')).
% 8.01/5.53 tff(3921,plain,
% 8.01/5.53 (nextState(constB127, constB128)),
% 8.01/5.53 inference(modus_ponens,[status(thm)],[3920, 3919])).
% 8.01/5.53 tff(3922,plain,
% 8.01/5.53 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB127, constB128)) | (v94(constB128) <=> (~((~v104(constB128)) | (~v95(constB128))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB127, constB128)) | (v94(constB128) <=> (~((~v104(constB128)) | (~v95(constB128))))))),
% 8.01/5.53 inference(rewrite,[status(thm)],[])).
% 8.01/5.53 tff(3923,plain,
% 8.01/5.53 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB127, constB128)) | (v94(constB128) <=> (~((~v104(constB128)) | (~v95(constB128))))))),
% 8.01/5.53 inference(quant_inst,[status(thm)],[])).
% 8.01/5.53 tff(3924,plain,
% 8.01/5.53 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB127, constB128)) | (v94(constB128) <=> (~((~v104(constB128)) | (~v95(constB128)))))),
% 8.01/5.53 inference(modus_ponens,[status(thm)],[3923, 3922])).
% 8.01/5.53 tff(3925,plain,
% 8.01/5.53 (v94(constB128) <=> (~((~v104(constB128)) | (~v95(constB128))))),
% 8.01/5.53 inference(unit_resolution,[status(thm)],[3924, 3921, 775])).
% 8.01/5.53 tff(3926,plain,
% 8.01/5.53 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB127, constB128)) | (v95(constB128) <=> (~((~v1(constB128)) | (~v96(constB128))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB127, constB128)) | (v95(constB128) <=> (~((~v1(constB128)) | (~v96(constB128))))))),
% 8.01/5.53 inference(rewrite,[status(thm)],[])).
% 8.01/5.53 tff(3927,plain,
% 8.01/5.53 (((~nextState(constB127, constB128)) | (v95(constB128) <=> (~((~v96(constB128)) | (~v1(constB128)))))) <=> ((~nextState(constB127, constB128)) | (v95(constB128) <=> (~((~v1(constB128)) | (~v96(constB128))))))),
% 8.01/5.53 inference(rewrite,[status(thm)],[])).
% 8.01/5.53 tff(3928,plain,
% 8.01/5.53 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB127, constB128)) | (v95(constB128) <=> (~((~v96(constB128)) | (~v1(constB128))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB127, constB128)) | (v95(constB128) <=> (~((~v1(constB128)) | (~v96(constB128)))))))),
% 8.01/5.53 inference(monotonicity,[status(thm)],[3927])).
% 8.01/5.53 tff(3929,plain,
% 8.01/5.53 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB127, constB128)) | (v95(constB128) <=> (~((~v96(constB128)) | (~v1(constB128))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB127, constB128)) | (v95(constB128) <=> (~((~v1(constB128)) | (~v96(constB128))))))),
% 8.01/5.53 inference(transitivity,[status(thm)],[3928, 3926])).
% 8.01/5.53 tff(3930,plain,
% 8.01/5.53 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB127, constB128)) | (v95(constB128) <=> (~((~v96(constB128)) | (~v1(constB128))))))),
% 8.01/5.53 inference(quant_inst,[status(thm)],[])).
% 8.01/5.53 tff(3931,plain,
% 8.01/5.53 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB127, constB128)) | (v95(constB128) <=> (~((~v1(constB128)) | (~v96(constB128)))))),
% 8.01/5.53 inference(modus_ponens,[status(thm)],[3930, 3929])).
% 8.01/5.53 tff(3932,plain,
% 8.01/5.53 (v95(constB128) <=> (~((~v1(constB128)) | (~v96(constB128))))),
% 8.01/5.53 inference(unit_resolution,[status(thm)],[3931, 3921, 795])).
% 8.01/5.53 tff(3933,plain,
% 8.01/5.53 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB127, constB128)) | ((~v96(constB128)) <=> v98(constB128)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB127, constB128)) | ((~v96(constB128)) <=> v98(constB128)))),
% 8.01/5.53 inference(rewrite,[status(thm)],[])).
% 8.01/5.53 tff(3934,plain,
% 8.01/5.53 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB127, constB128)) | ((~v96(constB128)) <=> v98(constB128)))),
% 8.01/5.53 inference(quant_inst,[status(thm)],[])).
% 8.01/5.53 tff(3935,plain,
% 8.01/5.53 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB127, constB128)) | ((~v96(constB128)) <=> v98(constB128))),
% 8.01/5.53 inference(modus_ponens,[status(thm)],[3934, 3933])).
% 8.01/5.53 tff(3936,plain,
% 8.01/5.53 ((~v96(constB128)) <=> v98(constB128)),
% 8.01/5.53 inference(unit_resolution,[status(thm)],[3935, 3921, 860])).
% 8.01/5.53 tff(3937,plain,
% 8.01/5.53 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB127, constB128)) | (v98(constB128) <=> v1(constB127)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB127, constB128)) | (v98(constB128) <=> v1(constB127)))),
% 8.01/5.53 inference(rewrite,[status(thm)],[])).
% 8.01/5.53 tff(3938,plain,
% 8.01/5.53 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB127, constB128)) | (v98(constB128) <=> v1(constB127)))),
% 8.01/5.53 inference(quant_inst,[status(thm)],[])).
% 8.01/5.53 tff(3939,plain,
% 8.01/5.53 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB127, constB128)) | (v98(constB128) <=> v1(constB127))),
% 8.01/5.53 inference(modus_ponens,[status(thm)],[3938, 3937])).
% 8.01/5.53 tff(3940,plain,
% 8.01/5.53 (v98(constB128) <=> v1(constB127)),
% 8.01/5.53 inference(unit_resolution,[status(thm)],[3939, 3921, 874])).
% 8.01/5.53 tff(3941,plain,
% 8.01/5.53 ((~v1(constB127)) <=> (~v1(constB127))),
% 8.01/5.53 inference(rewrite,[status(thm)],[])).
% 8.01/5.53 tff(3942,axiom,(~v1(constB127)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_127')).
% 8.01/5.53 tff(3943,plain,
% 8.01/5.53 (~v1(constB127)),
% 8.01/5.53 inference(modus_ponens,[status(thm)],[3942, 3941])).
% 8.01/5.53 tff(3944,plain,
% 8.01/5.53 ((~(v98(constB128) <=> v1(constB127))) | (~v98(constB128)) | v1(constB127)),
% 8.01/5.53 inference(tautology,[status(thm)],[])).
% 8.01/5.53 tff(3945,plain,
% 8.01/5.53 ((~(v98(constB128) <=> v1(constB127))) | (~v98(constB128))),
% 8.01/5.53 inference(unit_resolution,[status(thm)],[3944, 3943])).
% 8.01/5.53 tff(3946,plain,
% 8.01/5.53 (~v98(constB128)),
% 8.01/5.53 inference(unit_resolution,[status(thm)],[3945, 3940])).
% 8.01/5.53 tff(3947,plain,
% 8.01/5.53 ((~((~v96(constB128)) <=> v98(constB128))) | v96(constB128) | v98(constB128)),
% 8.01/5.53 inference(tautology,[status(thm)],[])).
% 8.01/5.53 tff(3948,plain,
% 8.01/5.53 (v96(constB128)),
% 8.01/5.53 inference(unit_resolution,[status(thm)],[3947, 3946, 3936])).
% 8.01/5.53 tff(3949,plain,
% 8.01/5.53 (v1(constB128) <=> v1(constB128)),
% 8.01/5.53 inference(rewrite,[status(thm)],[])).
% 8.01/5.53 tff(3950,axiom,(v1(constB128)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_128')).
% 8.01/5.53 tff(3951,plain,
% 8.01/5.53 (v1(constB128)),
% 8.01/5.53 inference(modus_ponens,[status(thm)],[3950, 3949])).
% 8.01/5.53 tff(3952,plain,
% 8.01/5.53 ((~((~v1(constB128)) | (~v96(constB128)))) | (~v1(constB128)) | (~v96(constB128))),
% 8.01/5.53 inference(tautology,[status(thm)],[])).
% 8.01/5.53 tff(3953,plain,
% 8.01/5.53 ((~((~v1(constB128)) | (~v96(constB128)))) | (~v96(constB128))),
% 8.01/5.53 inference(unit_resolution,[status(thm)],[3952, 3951])).
% 8.01/5.53 tff(3954,plain,
% 8.01/5.53 (~((~v1(constB128)) | (~v96(constB128)))),
% 8.01/5.53 inference(unit_resolution,[status(thm)],[3953, 3948])).
% 8.01/5.53 tff(3955,plain,
% 8.01/5.53 ((~(v95(constB128) <=> (~((~v1(constB128)) | (~v96(constB128)))))) | v95(constB128) | ((~v1(constB128)) | (~v96(constB128)))),
% 8.01/5.53 inference(tautology,[status(thm)],[])).
% 8.01/5.53 tff(3956,plain,
% 8.01/5.53 (v95(constB128)),
% 8.01/5.53 inference(unit_resolution,[status(thm)],[3955, 3954, 3932])).
% 8.01/5.53 tff(3957,plain,
% 8.01/5.53 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB127, constB128)) | (v104(constB128) <=> v102(constB127)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB127, constB128)) | (v104(constB128) <=> v102(constB127)))),
% 8.01/5.53 inference(rewrite,[status(thm)],[])).
% 8.01/5.53 tff(3958,plain,
% 8.01/5.53 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB127, constB128)) | (v104(constB128) <=> v102(constB127)))),
% 8.01/5.53 inference(quant_inst,[status(thm)],[])).
% 8.01/5.53 tff(3959,plain,
% 8.01/5.53 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB127, constB128)) | (v104(constB128) <=> v102(constB127))),
% 8.01/5.53 inference(modus_ponens,[status(thm)],[3958, 3957])).
% 8.01/5.53 tff(3960,plain,
% 8.01/5.53 (v104(constB128) <=> v102(constB127)),
% 8.01/5.53 inference(unit_resolution,[status(thm)],[3959, 3921, 904])).
% 8.01/5.53 tff(3961,plain,
% 8.01/5.53 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB127) <=> (v105(constB127) | v106(constB127)))),
% 8.01/5.53 inference(quant_inst,[status(thm)],[])).
% 8.01/5.53 tff(3962,plain,
% 8.01/5.53 (v102(constB127) <=> (v105(constB127) | v106(constB127))),
% 8.01/5.53 inference(unit_resolution,[status(thm)],[3961, 915])).
% 8.01/5.53 tff(3963,plain,
% 8.01/5.53 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB127) <=> (~((~v107(constB127)) | (~v120(constB127)))))),
% 8.01/5.53 inference(quant_inst,[status(thm)],[])).
% 8.01/5.53 tff(3964,plain,
% 8.01/5.53 (v106(constB127) <=> (~((~v107(constB127)) | (~v120(constB127))))),
% 8.01/5.53 inference(unit_resolution,[status(thm)],[3963, 927])).
% 8.01/5.53 tff(3965,plain,
% 8.01/5.53 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB127) <=> (v108(constB127) | v119(constB127)))),
% 8.01/5.53 inference(quant_inst,[status(thm)],[])).
% 8.01/5.53 tff(3966,plain,
% 8.01/5.53 (v107(constB127) <=> (v108(constB127) | v119(constB127))),
% 8.01/5.53 inference(unit_resolution,[status(thm)],[3965, 936])).
% 8.01/5.53 tff(3967,plain,
% 8.01/5.53 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB127) <=> (v109(constB127) | v118(constB127)))),
% 8.01/5.53 inference(quant_inst,[status(thm)],[])).
% 8.01/5.53 tff(3968,plain,
% 8.01/5.53 (v108(constB127) <=> (v109(constB127) | v118(constB127))),
% 8.01/5.53 inference(unit_resolution,[status(thm)],[3967, 945])).
% 8.01/5.53 tff(3969,plain,
% 8.01/5.53 ((~![VarCurr: $i] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB127) <=> (v110(constB127) | v117(constB127)))),
% 8.01/5.53 inference(quant_inst,[status(thm)],[])).
% 8.01/5.53 tff(3970,plain,
% 8.01/5.53 (v109(constB127) <=> (v110(constB127) | v117(constB127))),
% 8.01/5.53 inference(unit_resolution,[status(thm)],[3969, 1056])).
% 8.01/5.53 tff(3971,plain,
% 8.01/5.53 ((~![VarCurr: $i] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB127) <=> (v111(constB127) | v116(constB127)))),
% 8.01/5.53 inference(quant_inst,[status(thm)],[])).
% 8.01/5.53 tff(3972,plain,
% 8.01/5.53 (v110(constB127) <=> (v111(constB127) | v116(constB127))),
% 8.01/5.53 inference(unit_resolution,[status(thm)],[3971, 1169])).
% 8.01/5.53 tff(3973,plain,
% 8.01/5.53 ((~![VarCurr: $i] : (v116(VarCurr) <=> (~(v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex0)))))) | (v116(constB127) <=> (~(v84(constB127, bitIndex2) | (~v84(constB127, bitIndex1)) | (~v84(constB127, bitIndex0)))))),
% 8.01/5.53 inference(quant_inst,[status(thm)],[])).
% 8.01/5.53 tff(3974,plain,
% 8.01/5.53 (v116(constB127) <=> (~(v84(constB127, bitIndex2) | (~v84(constB127, bitIndex1)) | (~v84(constB127, bitIndex0))))),
% 8.01/5.53 inference(unit_resolution,[status(thm)],[3973, 1184])).
% 8.01/5.53 tff(3975,plain,
% 8.01/5.53 (nextState(constB126, constB127) <=> nextState(constB126, constB127)),
% 8.01/5.53 inference(rewrite,[status(thm)],[])).
% 8.01/5.53 tff(3976,axiom,(nextState(constB126, constB127)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_126')).
% 8.01/5.53 tff(3977,plain,
% 8.01/5.53 (nextState(constB126, constB127)),
% 8.01/5.53 inference(modus_ponens,[status(thm)],[3976, 3975])).
% 8.01/5.53 tff(3978,plain,
% 8.01/5.53 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB126, constB127)) | (v94(constB127) <=> (~((~v104(constB127)) | (~v95(constB127))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB126, constB127)) | (v94(constB127) <=> (~((~v104(constB127)) | (~v95(constB127))))))),
% 8.01/5.53 inference(rewrite,[status(thm)],[])).
% 8.01/5.53 tff(3979,plain,
% 8.01/5.53 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB126, constB127)) | (v94(constB127) <=> (~((~v104(constB127)) | (~v95(constB127))))))),
% 8.01/5.53 inference(quant_inst,[status(thm)],[])).
% 8.01/5.53 tff(3980,plain,
% 8.01/5.53 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB126, constB127)) | (v94(constB127) <=> (~((~v104(constB127)) | (~v95(constB127)))))),
% 8.01/5.53 inference(modus_ponens,[status(thm)],[3979, 3978])).
% 8.01/5.53 tff(3981,plain,
% 8.01/5.53 (v94(constB127) <=> (~((~v104(constB127)) | (~v95(constB127))))),
% 8.01/5.53 inference(unit_resolution,[status(thm)],[3980, 3977, 775])).
% 8.01/5.53 tff(3982,plain,
% 8.01/5.53 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB126, constB127)) | (v95(constB127) <=> (~((~v1(constB127)) | (~v96(constB127))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB126, constB127)) | (v95(constB127) <=> (~((~v1(constB127)) | (~v96(constB127))))))),
% 8.01/5.53 inference(rewrite,[status(thm)],[])).
% 8.01/5.53 tff(3983,plain,
% 8.01/5.53 (((~nextState(constB126, constB127)) | (v95(constB127) <=> (~((~v96(constB127)) | (~v1(constB127)))))) <=> ((~nextState(constB126, constB127)) | (v95(constB127) <=> (~((~v1(constB127)) | (~v96(constB127))))))),
% 8.01/5.53 inference(rewrite,[status(thm)],[])).
% 8.01/5.53 tff(3984,plain,
% 8.01/5.53 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB126, constB127)) | (v95(constB127) <=> (~((~v96(constB127)) | (~v1(constB127))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB126, constB127)) | (v95(constB127) <=> (~((~v1(constB127)) | (~v96(constB127)))))))),
% 8.01/5.53 inference(monotonicity,[status(thm)],[3983])).
% 8.01/5.53 tff(3985,plain,
% 8.01/5.53 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB126, constB127)) | (v95(constB127) <=> (~((~v96(constB127)) | (~v1(constB127))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB126, constB127)) | (v95(constB127) <=> (~((~v1(constB127)) | (~v96(constB127))))))),
% 8.01/5.53 inference(transitivity,[status(thm)],[3984, 3982])).
% 8.01/5.53 tff(3986,plain,
% 8.01/5.53 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB126, constB127)) | (v95(constB127) <=> (~((~v96(constB127)) | (~v1(constB127))))))),
% 8.01/5.53 inference(quant_inst,[status(thm)],[])).
% 8.01/5.53 tff(3987,plain,
% 8.01/5.53 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB126, constB127)) | (v95(constB127) <=> (~((~v1(constB127)) | (~v96(constB127)))))),
% 8.01/5.53 inference(modus_ponens,[status(thm)],[3986, 3985])).
% 8.01/5.53 tff(3988,plain,
% 8.01/5.53 (v95(constB127) <=> (~((~v1(constB127)) | (~v96(constB127))))),
% 8.01/5.53 inference(unit_resolution,[status(thm)],[3987, 3977, 795])).
% 8.01/5.53 tff(3989,plain,
% 8.01/5.53 (((~v1(constB127)) | (~v96(constB127))) | v1(constB127)),
% 8.01/5.53 inference(tautology,[status(thm)],[])).
% 8.01/5.53 tff(3990,plain,
% 8.01/5.53 ((~v1(constB127)) | (~v96(constB127))),
% 8.01/5.53 inference(unit_resolution,[status(thm)],[3989, 3943])).
% 8.01/5.53 tff(3991,plain,
% 8.01/5.53 ((~(v95(constB127) <=> (~((~v1(constB127)) | (~v96(constB127)))))) | (~v95(constB127)) | (~((~v1(constB127)) | (~v96(constB127))))),
% 8.01/5.53 inference(tautology,[status(thm)],[])).
% 8.01/5.53 tff(3992,plain,
% 8.01/5.53 ((~(v95(constB127) <=> (~((~v1(constB127)) | (~v96(constB127)))))) | (~v95(constB127))),
% 8.01/5.53 inference(unit_resolution,[status(thm)],[3991, 3990])).
% 8.01/5.53 tff(3993,plain,
% 8.01/5.53 (~v95(constB127)),
% 8.01/5.53 inference(unit_resolution,[status(thm)],[3992, 3988])).
% 8.01/5.53 tff(3994,plain,
% 8.01/5.53 (((~v104(constB127)) | (~v95(constB127))) | v95(constB127)),
% 8.01/5.53 inference(tautology,[status(thm)],[])).
% 8.01/5.53 tff(3995,plain,
% 8.01/5.53 ((~v104(constB127)) | (~v95(constB127))),
% 8.01/5.53 inference(unit_resolution,[status(thm)],[3994, 3993])).
% 8.01/5.53 tff(3996,plain,
% 8.01/5.53 ((~(v94(constB127) <=> (~((~v104(constB127)) | (~v95(constB127)))))) | (~v94(constB127)) | (~((~v104(constB127)) | (~v95(constB127))))),
% 8.01/5.53 inference(tautology,[status(thm)],[])).
% 8.01/5.53 tff(3997,plain,
% 8.01/5.53 (~v94(constB127)),
% 8.01/5.53 inference(unit_resolution,[status(thm)],[3996, 3995, 3981])).
% 8.01/5.53 tff(3998,plain,
% 8.01/5.53 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB127) | (~nextState(constB126, constB127)) | ![B: $i] : ((~less_3(B)) | (v84(constB127, B) <=> v84(constB126, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB127) | (~nextState(constB126, constB127)) | ![B: $i] : ((~less_3(B)) | (v84(constB127, B) <=> v84(constB126, B))))),
% 8.01/5.53 inference(rewrite,[status(thm)],[])).
% 8.01/5.53 tff(3999,plain,
% 8.01/5.53 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB127) | (~nextState(constB126, constB127)) | ![B: $i] : ((~less_3(B)) | (v84(constB127, B) <=> v84(constB126, B))))),
% 8.01/5.53 inference(quant_inst,[status(thm)],[])).
% 8.01/5.53 tff(4000,plain,
% 8.01/5.53 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB127) | (~nextState(constB126, constB127)) | ![B: $i] : ((~less_3(B)) | (v84(constB127, B) <=> v84(constB126, B)))),
% 8.01/5.53 inference(modus_ponens,[status(thm)],[3999, 3998])).
% 8.01/5.53 tff(4001,plain,
% 8.01/5.53 (v94(constB127) | ![B: $i] : ((~less_3(B)) | (v84(constB127, B) <=> v84(constB126, B)))),
% 8.01/5.53 inference(unit_resolution,[status(thm)],[4000, 3977, 824])).
% 8.01/5.53 tff(4002,plain,
% 8.01/5.53 (![B: $i] : ((~less_3(B)) | (v84(constB127, B) <=> v84(constB126, B)))),
% 8.01/5.53 inference(unit_resolution,[status(thm)],[4001, 3997])).
% 8.01/5.53 tff(4003,plain,
% 8.01/5.53 (((~![B: $i] : ((~less_3(B)) | (v84(constB127, B) <=> v84(constB126, B)))) | ((~less_3(bitIndex2)) | (v84(constB127, bitIndex2) <=> v84(constB126, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB127, B) <=> v84(constB126, B)))) | (~less_3(bitIndex2)) | (v84(constB127, bitIndex2) <=> v84(constB126, bitIndex2)))),
% 8.01/5.53 inference(rewrite,[status(thm)],[])).
% 8.01/5.53 tff(4004,plain,
% 8.01/5.53 ((~![B: $i] : ((~less_3(B)) | (v84(constB127, B) <=> v84(constB126, B)))) | ((~less_3(bitIndex2)) | (v84(constB127, bitIndex2) <=> v84(constB126, bitIndex2)))),
% 8.01/5.53 inference(quant_inst,[status(thm)],[])).
% 8.01/5.53 tff(4005,plain,
% 8.01/5.53 ((~![B: $i] : ((~less_3(B)) | (v84(constB127, B) <=> v84(constB126, B)))) | (~less_3(bitIndex2)) | (v84(constB127, bitIndex2) <=> v84(constB126, bitIndex2))),
% 8.01/5.53 inference(modus_ponens,[status(thm)],[4004, 4003])).
% 8.01/5.53 tff(4006,plain,
% 8.01/5.53 (v84(constB127, bitIndex2) <=> v84(constB126, bitIndex2)),
% 8.01/5.53 inference(unit_resolution,[status(thm)],[4005, 832, 4002])).
% 8.01/5.53 tff(4007,plain,
% 8.01/5.53 (nextState(constB125, constB126) <=> nextState(constB125, constB126)),
% 8.01/5.53 inference(rewrite,[status(thm)],[])).
% 8.01/5.53 tff(4008,axiom,(nextState(constB125, constB126)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_125')).
% 8.01/5.53 tff(4009,plain,
% 8.01/5.53 (nextState(constB125, constB126)),
% 8.01/5.53 inference(modus_ponens,[status(thm)],[4008, 4007])).
% 8.01/5.53 tff(4010,plain,
% 8.01/5.53 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB125, constB126)) | (v94(constB126) <=> (~((~v104(constB126)) | (~v95(constB126))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB125, constB126)) | (v94(constB126) <=> (~((~v104(constB126)) | (~v95(constB126))))))),
% 8.01/5.53 inference(rewrite,[status(thm)],[])).
% 8.01/5.53 tff(4011,plain,
% 8.01/5.53 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB125, constB126)) | (v94(constB126) <=> (~((~v104(constB126)) | (~v95(constB126))))))),
% 8.01/5.53 inference(quant_inst,[status(thm)],[])).
% 8.01/5.53 tff(4012,plain,
% 8.01/5.53 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB125, constB126)) | (v94(constB126) <=> (~((~v104(constB126)) | (~v95(constB126)))))),
% 8.01/5.53 inference(modus_ponens,[status(thm)],[4011, 4010])).
% 8.01/5.53 tff(4013,plain,
% 8.01/5.53 (v94(constB126) <=> (~((~v104(constB126)) | (~v95(constB126))))),
% 8.01/5.53 inference(unit_resolution,[status(thm)],[4012, 4009, 775])).
% 8.01/5.53 tff(4014,plain,
% 8.01/5.53 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB125, constB126)) | (v95(constB126) <=> (~((~v1(constB126)) | (~v96(constB126))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB125, constB126)) | (v95(constB126) <=> (~((~v1(constB126)) | (~v96(constB126))))))),
% 8.01/5.53 inference(rewrite,[status(thm)],[])).
% 8.01/5.53 tff(4015,plain,
% 8.01/5.53 (((~nextState(constB125, constB126)) | (v95(constB126) <=> (~((~v96(constB126)) | (~v1(constB126)))))) <=> ((~nextState(constB125, constB126)) | (v95(constB126) <=> (~((~v1(constB126)) | (~v96(constB126))))))),
% 8.01/5.53 inference(rewrite,[status(thm)],[])).
% 8.01/5.53 tff(4016,plain,
% 8.01/5.53 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB125, constB126)) | (v95(constB126) <=> (~((~v96(constB126)) | (~v1(constB126))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB125, constB126)) | (v95(constB126) <=> (~((~v1(constB126)) | (~v96(constB126)))))))),
% 8.01/5.53 inference(monotonicity,[status(thm)],[4015])).
% 8.01/5.53 tff(4017,plain,
% 8.01/5.53 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB125, constB126)) | (v95(constB126) <=> (~((~v96(constB126)) | (~v1(constB126))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB125, constB126)) | (v95(constB126) <=> (~((~v1(constB126)) | (~v96(constB126))))))),
% 8.01/5.53 inference(transitivity,[status(thm)],[4016, 4014])).
% 8.01/5.53 tff(4018,plain,
% 8.01/5.53 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB125, constB126)) | (v95(constB126) <=> (~((~v96(constB126)) | (~v1(constB126))))))),
% 8.01/5.53 inference(quant_inst,[status(thm)],[])).
% 8.01/5.53 tff(4019,plain,
% 8.01/5.53 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB125, constB126)) | (v95(constB126) <=> (~((~v1(constB126)) | (~v96(constB126)))))),
% 8.01/5.53 inference(modus_ponens,[status(thm)],[4018, 4017])).
% 8.01/5.53 tff(4020,plain,
% 8.01/5.53 (v95(constB126) <=> (~((~v1(constB126)) | (~v96(constB126))))),
% 8.01/5.53 inference(unit_resolution,[status(thm)],[4019, 4009, 795])).
% 8.01/5.53 tff(4021,plain,
% 8.01/5.53 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB125, constB126)) | ((~v96(constB126)) <=> v98(constB126)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB125, constB126)) | ((~v96(constB126)) <=> v98(constB126)))),
% 8.01/5.53 inference(rewrite,[status(thm)],[])).
% 8.01/5.53 tff(4022,plain,
% 8.01/5.53 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB125, constB126)) | ((~v96(constB126)) <=> v98(constB126)))),
% 8.01/5.53 inference(quant_inst,[status(thm)],[])).
% 8.01/5.53 tff(4023,plain,
% 8.01/5.53 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB125, constB126)) | ((~v96(constB126)) <=> v98(constB126))),
% 8.01/5.53 inference(modus_ponens,[status(thm)],[4022, 4021])).
% 8.01/5.53 tff(4024,plain,
% 8.01/5.53 ((~v96(constB126)) <=> v98(constB126)),
% 8.01/5.53 inference(unit_resolution,[status(thm)],[4023, 4009, 860])).
% 8.01/5.53 tff(4025,plain,
% 8.01/5.53 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB125, constB126)) | (v98(constB126) <=> v1(constB125)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB125, constB126)) | (v98(constB126) <=> v1(constB125)))),
% 8.01/5.53 inference(rewrite,[status(thm)],[])).
% 8.01/5.53 tff(4026,plain,
% 8.01/5.53 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB125, constB126)) | (v98(constB126) <=> v1(constB125)))),
% 8.01/5.53 inference(quant_inst,[status(thm)],[])).
% 8.01/5.53 tff(4027,plain,
% 8.01/5.53 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB125, constB126)) | (v98(constB126) <=> v1(constB125))),
% 8.01/5.53 inference(modus_ponens,[status(thm)],[4026, 4025])).
% 8.01/5.53 tff(4028,plain,
% 8.01/5.53 (v98(constB126) <=> v1(constB125)),
% 8.01/5.53 inference(unit_resolution,[status(thm)],[4027, 4009, 874])).
% 8.01/5.53 tff(4029,plain,
% 8.01/5.53 ((~v1(constB125)) <=> (~v1(constB125))),
% 8.01/5.53 inference(rewrite,[status(thm)],[])).
% 8.01/5.53 tff(4030,axiom,(~v1(constB125)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_125')).
% 8.01/5.53 tff(4031,plain,
% 8.01/5.53 (~v1(constB125)),
% 8.01/5.53 inference(modus_ponens,[status(thm)],[4030, 4029])).
% 8.01/5.53 tff(4032,plain,
% 8.01/5.53 ((~(v98(constB126) <=> v1(constB125))) | (~v98(constB126)) | v1(constB125)),
% 8.01/5.53 inference(tautology,[status(thm)],[])).
% 8.01/5.53 tff(4033,plain,
% 8.01/5.53 ((~(v98(constB126) <=> v1(constB125))) | (~v98(constB126))),
% 8.01/5.53 inference(unit_resolution,[status(thm)],[4032, 4031])).
% 8.01/5.53 tff(4034,plain,
% 8.01/5.53 (~v98(constB126)),
% 8.01/5.53 inference(unit_resolution,[status(thm)],[4033, 4028])).
% 8.01/5.53 tff(4035,plain,
% 8.01/5.53 ((~((~v96(constB126)) <=> v98(constB126))) | v96(constB126) | v98(constB126)),
% 8.01/5.53 inference(tautology,[status(thm)],[])).
% 8.01/5.53 tff(4036,plain,
% 8.01/5.53 (v96(constB126)),
% 8.01/5.53 inference(unit_resolution,[status(thm)],[4035, 4034, 4024])).
% 8.01/5.53 tff(4037,plain,
% 8.01/5.53 (v1(constB126) <=> v1(constB126)),
% 8.01/5.53 inference(rewrite,[status(thm)],[])).
% 8.01/5.53 tff(4038,axiom,(v1(constB126)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_126')).
% 8.01/5.53 tff(4039,plain,
% 8.01/5.53 (v1(constB126)),
% 8.01/5.53 inference(modus_ponens,[status(thm)],[4038, 4037])).
% 8.01/5.53 tff(4040,plain,
% 8.01/5.53 ((~((~v1(constB126)) | (~v96(constB126)))) | (~v1(constB126)) | (~v96(constB126))),
% 8.01/5.53 inference(tautology,[status(thm)],[])).
% 8.01/5.53 tff(4041,plain,
% 8.01/5.53 ((~((~v1(constB126)) | (~v96(constB126)))) | (~v96(constB126))),
% 8.01/5.53 inference(unit_resolution,[status(thm)],[4040, 4039])).
% 8.01/5.53 tff(4042,plain,
% 8.01/5.53 (~((~v1(constB126)) | (~v96(constB126)))),
% 8.01/5.53 inference(unit_resolution,[status(thm)],[4041, 4036])).
% 8.01/5.53 tff(4043,plain,
% 8.01/5.53 ((~(v95(constB126) <=> (~((~v1(constB126)) | (~v96(constB126)))))) | v95(constB126) | ((~v1(constB126)) | (~v96(constB126)))),
% 8.01/5.53 inference(tautology,[status(thm)],[])).
% 8.01/5.53 tff(4044,plain,
% 8.01/5.53 (v95(constB126)),
% 8.01/5.53 inference(unit_resolution,[status(thm)],[4043, 4042, 4020])).
% 8.01/5.53 tff(4045,plain,
% 8.01/5.53 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB125, constB126)) | (v104(constB126) <=> v102(constB125)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB125, constB126)) | (v104(constB126) <=> v102(constB125)))),
% 8.01/5.53 inference(rewrite,[status(thm)],[])).
% 8.01/5.53 tff(4046,plain,
% 8.01/5.53 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB125, constB126)) | (v104(constB126) <=> v102(constB125)))),
% 8.01/5.53 inference(quant_inst,[status(thm)],[])).
% 8.01/5.53 tff(4047,plain,
% 8.01/5.53 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB125, constB126)) | (v104(constB126) <=> v102(constB125))),
% 8.01/5.53 inference(modus_ponens,[status(thm)],[4046, 4045])).
% 8.01/5.53 tff(4048,plain,
% 8.01/5.53 (v104(constB126) <=> v102(constB125)),
% 8.01/5.53 inference(unit_resolution,[status(thm)],[4047, 4009, 904])).
% 8.01/5.53 tff(4049,plain,
% 8.01/5.53 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB125) <=> (v105(constB125) | v106(constB125)))),
% 8.01/5.53 inference(quant_inst,[status(thm)],[])).
% 8.01/5.53 tff(4050,plain,
% 8.01/5.53 (v102(constB125) <=> (v105(constB125) | v106(constB125))),
% 8.01/5.53 inference(unit_resolution,[status(thm)],[4049, 915])).
% 8.01/5.53 tff(4051,plain,
% 8.01/5.53 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB125) <=> (~((~v107(constB125)) | (~v120(constB125)))))),
% 8.01/5.53 inference(quant_inst,[status(thm)],[])).
% 8.01/5.53 tff(4052,plain,
% 8.01/5.53 (v106(constB125) <=> (~((~v107(constB125)) | (~v120(constB125))))),
% 8.01/5.53 inference(unit_resolution,[status(thm)],[4051, 927])).
% 8.01/5.53 tff(4053,plain,
% 8.01/5.53 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB125) <=> (v108(constB125) | v119(constB125)))),
% 8.01/5.53 inference(quant_inst,[status(thm)],[])).
% 8.01/5.53 tff(4054,plain,
% 8.01/5.53 (v107(constB125) <=> (v108(constB125) | v119(constB125))),
% 8.01/5.53 inference(unit_resolution,[status(thm)],[4053, 936])).
% 8.01/5.53 tff(4055,plain,
% 8.01/5.53 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB125) <=> (v109(constB125) | v118(constB125)))),
% 8.01/5.53 inference(quant_inst,[status(thm)],[])).
% 8.01/5.53 tff(4056,plain,
% 8.01/5.53 (v108(constB125) <=> (v109(constB125) | v118(constB125))),
% 8.01/5.53 inference(unit_resolution,[status(thm)],[4055, 945])).
% 8.01/5.53 tff(4057,plain,
% 8.01/5.53 ((~![VarCurr: $i] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB125) <=> (v110(constB125) | v117(constB125)))),
% 8.01/5.53 inference(quant_inst,[status(thm)],[])).
% 8.01/5.53 tff(4058,plain,
% 8.01/5.53 (v109(constB125) <=> (v110(constB125) | v117(constB125))),
% 8.01/5.53 inference(unit_resolution,[status(thm)],[4057, 1056])).
% 8.01/5.53 tff(4059,plain,
% 8.01/5.53 ((~![VarCurr: $i] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB125) <=> (v111(constB125) | v116(constB125)))),
% 8.01/5.53 inference(quant_inst,[status(thm)],[])).
% 8.01/5.53 tff(4060,plain,
% 8.01/5.53 (v110(constB125) <=> (v111(constB125) | v116(constB125))),
% 8.01/5.53 inference(unit_resolution,[status(thm)],[4059, 1169])).
% 8.01/5.53 tff(4061,plain,
% 8.01/5.53 ((~![VarCurr: $i] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB125) <=> (v112(constB125) | v115(constB125)))),
% 8.01/5.53 inference(quant_inst,[status(thm)],[])).
% 8.01/5.53 tff(4062,plain,
% 8.01/5.53 (v111(constB125) <=> (v112(constB125) | v115(constB125))),
% 8.01/5.53 inference(unit_resolution,[status(thm)],[4061, 1279])).
% 8.01/5.53 tff(4063,plain,
% 8.01/5.53 (((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB125) <=> (~(v84(constB125, bitIndex2) | (~v84(constB125, bitIndex1)) | v84(constB125, bitIndex0))))) <=> ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB125) <=> (~(v84(constB125, bitIndex2) | (~v84(constB125, bitIndex1)) | v84(constB125, bitIndex0)))))),
% 8.01/5.53 inference(rewrite,[status(thm)],[])).
% 8.01/5.53 tff(4064,plain,
% 8.01/5.53 ((v115(constB125) <=> (~(v84(constB125, bitIndex0) | v84(constB125, bitIndex2) | (~v84(constB125, bitIndex1))))) <=> (v115(constB125) <=> (~(v84(constB125, bitIndex2) | (~v84(constB125, bitIndex1)) | v84(constB125, bitIndex0))))),
% 8.01/5.53 inference(rewrite,[status(thm)],[])).
% 8.01/5.53 tff(4065,plain,
% 8.01/5.53 (((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB125) <=> (~(v84(constB125, bitIndex0) | v84(constB125, bitIndex2) | (~v84(constB125, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB125) <=> (~(v84(constB125, bitIndex2) | (~v84(constB125, bitIndex1)) | v84(constB125, bitIndex0)))))),
% 8.01/5.54 inference(monotonicity,[status(thm)],[4064])).
% 8.01/5.54 tff(4066,plain,
% 8.01/5.54 (((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB125) <=> (~(v84(constB125, bitIndex0) | v84(constB125, bitIndex2) | (~v84(constB125, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB125) <=> (~(v84(constB125, bitIndex2) | (~v84(constB125, bitIndex1)) | v84(constB125, bitIndex0)))))),
% 8.01/5.54 inference(transitivity,[status(thm)],[4065, 4063])).
% 8.01/5.54 tff(4067,plain,
% 8.01/5.54 ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB125) <=> (~(v84(constB125, bitIndex0) | v84(constB125, bitIndex2) | (~v84(constB125, bitIndex1)))))),
% 8.01/5.54 inference(quant_inst,[status(thm)],[])).
% 8.01/5.54 tff(4068,plain,
% 8.01/5.54 ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB125) <=> (~(v84(constB125, bitIndex2) | (~v84(constB125, bitIndex1)) | v84(constB125, bitIndex0))))),
% 8.01/5.54 inference(modus_ponens,[status(thm)],[4067, 4066])).
% 8.01/5.54 tff(4069,plain,
% 8.01/5.54 (v115(constB125) <=> (~(v84(constB125, bitIndex2) | (~v84(constB125, bitIndex1)) | v84(constB125, bitIndex0)))),
% 8.01/5.54 inference(unit_resolution,[status(thm)],[4068, 1294])).
% 8.01/5.54 tff(4070,plain,
% 8.01/5.54 (nextState(constB124, constB125) <=> nextState(constB124, constB125)),
% 8.01/5.54 inference(rewrite,[status(thm)],[])).
% 8.01/5.54 tff(4071,axiom,(nextState(constB124, constB125)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_124')).
% 8.01/5.54 tff(4072,plain,
% 8.01/5.54 (nextState(constB124, constB125)),
% 8.01/5.54 inference(modus_ponens,[status(thm)],[4071, 4070])).
% 8.01/5.54 tff(4073,plain,
% 8.01/5.54 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB124, constB125)) | (v94(constB125) <=> (~((~v104(constB125)) | (~v95(constB125))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB124, constB125)) | (v94(constB125) <=> (~((~v104(constB125)) | (~v95(constB125))))))),
% 8.01/5.54 inference(rewrite,[status(thm)],[])).
% 8.01/5.54 tff(4074,plain,
% 8.01/5.54 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB124, constB125)) | (v94(constB125) <=> (~((~v104(constB125)) | (~v95(constB125))))))),
% 8.01/5.54 inference(quant_inst,[status(thm)],[])).
% 8.01/5.54 tff(4075,plain,
% 8.01/5.54 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB124, constB125)) | (v94(constB125) <=> (~((~v104(constB125)) | (~v95(constB125)))))),
% 8.01/5.54 inference(modus_ponens,[status(thm)],[4074, 4073])).
% 8.01/5.54 tff(4076,plain,
% 8.01/5.54 (v94(constB125) <=> (~((~v104(constB125)) | (~v95(constB125))))),
% 8.01/5.54 inference(unit_resolution,[status(thm)],[4075, 4072, 775])).
% 8.01/5.54 tff(4077,plain,
% 8.01/5.54 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB124, constB125)) | (v95(constB125) <=> (~((~v1(constB125)) | (~v96(constB125))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB124, constB125)) | (v95(constB125) <=> (~((~v1(constB125)) | (~v96(constB125))))))),
% 8.01/5.54 inference(rewrite,[status(thm)],[])).
% 8.01/5.54 tff(4078,plain,
% 8.01/5.54 (((~nextState(constB124, constB125)) | (v95(constB125) <=> (~((~v96(constB125)) | (~v1(constB125)))))) <=> ((~nextState(constB124, constB125)) | (v95(constB125) <=> (~((~v1(constB125)) | (~v96(constB125))))))),
% 8.02/5.54 inference(rewrite,[status(thm)],[])).
% 8.02/5.54 tff(4079,plain,
% 8.02/5.54 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB124, constB125)) | (v95(constB125) <=> (~((~v96(constB125)) | (~v1(constB125))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB124, constB125)) | (v95(constB125) <=> (~((~v1(constB125)) | (~v96(constB125)))))))),
% 8.02/5.54 inference(monotonicity,[status(thm)],[4078])).
% 8.02/5.54 tff(4080,plain,
% 8.02/5.54 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB124, constB125)) | (v95(constB125) <=> (~((~v96(constB125)) | (~v1(constB125))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB124, constB125)) | (v95(constB125) <=> (~((~v1(constB125)) | (~v96(constB125))))))),
% 8.02/5.54 inference(transitivity,[status(thm)],[4079, 4077])).
% 8.02/5.54 tff(4081,plain,
% 8.02/5.54 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB124, constB125)) | (v95(constB125) <=> (~((~v96(constB125)) | (~v1(constB125))))))),
% 8.02/5.54 inference(quant_inst,[status(thm)],[])).
% 8.02/5.54 tff(4082,plain,
% 8.02/5.54 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB124, constB125)) | (v95(constB125) <=> (~((~v1(constB125)) | (~v96(constB125)))))),
% 8.02/5.54 inference(modus_ponens,[status(thm)],[4081, 4080])).
% 8.02/5.54 tff(4083,plain,
% 8.02/5.54 (v95(constB125) <=> (~((~v1(constB125)) | (~v96(constB125))))),
% 8.02/5.54 inference(unit_resolution,[status(thm)],[4082, 4072, 795])).
% 8.02/5.54 tff(4084,plain,
% 8.02/5.54 (((~v1(constB125)) | (~v96(constB125))) | v1(constB125)),
% 8.02/5.54 inference(tautology,[status(thm)],[])).
% 8.02/5.54 tff(4085,plain,
% 8.02/5.54 ((~v1(constB125)) | (~v96(constB125))),
% 8.02/5.54 inference(unit_resolution,[status(thm)],[4084, 4031])).
% 8.02/5.54 tff(4086,plain,
% 8.02/5.54 ((~(v95(constB125) <=> (~((~v1(constB125)) | (~v96(constB125)))))) | (~v95(constB125)) | (~((~v1(constB125)) | (~v96(constB125))))),
% 8.02/5.54 inference(tautology,[status(thm)],[])).
% 8.02/5.54 tff(4087,plain,
% 8.02/5.54 ((~(v95(constB125) <=> (~((~v1(constB125)) | (~v96(constB125)))))) | (~v95(constB125))),
% 8.02/5.54 inference(unit_resolution,[status(thm)],[4086, 4085])).
% 8.02/5.54 tff(4088,plain,
% 8.02/5.54 (~v95(constB125)),
% 8.02/5.54 inference(unit_resolution,[status(thm)],[4087, 4083])).
% 8.02/5.54 tff(4089,plain,
% 8.02/5.54 (((~v104(constB125)) | (~v95(constB125))) | v95(constB125)),
% 8.02/5.54 inference(tautology,[status(thm)],[])).
% 8.02/5.54 tff(4090,plain,
% 8.02/5.54 ((~v104(constB125)) | (~v95(constB125))),
% 8.02/5.54 inference(unit_resolution,[status(thm)],[4089, 4088])).
% 8.02/5.54 tff(4091,plain,
% 8.02/5.54 ((~(v94(constB125) <=> (~((~v104(constB125)) | (~v95(constB125)))))) | (~v94(constB125)) | (~((~v104(constB125)) | (~v95(constB125))))),
% 8.02/5.54 inference(tautology,[status(thm)],[])).
% 8.02/5.54 tff(4092,plain,
% 8.02/5.54 (~v94(constB125)),
% 8.02/5.54 inference(unit_resolution,[status(thm)],[4091, 4090, 4076])).
% 8.02/5.54 tff(4093,plain,
% 8.02/5.54 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB125) | (~nextState(constB124, constB125)) | ![B: $i] : ((~less_3(B)) | (v84(constB125, B) <=> v84(constB124, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB125) | (~nextState(constB124, constB125)) | ![B: $i] : ((~less_3(B)) | (v84(constB125, B) <=> v84(constB124, B))))),
% 8.02/5.54 inference(rewrite,[status(thm)],[])).
% 8.02/5.54 tff(4094,plain,
% 8.02/5.54 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB125) | (~nextState(constB124, constB125)) | ![B: $i] : ((~less_3(B)) | (v84(constB125, B) <=> v84(constB124, B))))),
% 8.02/5.54 inference(quant_inst,[status(thm)],[])).
% 8.02/5.54 tff(4095,plain,
% 8.02/5.54 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB125) | (~nextState(constB124, constB125)) | ![B: $i] : ((~less_3(B)) | (v84(constB125, B) <=> v84(constB124, B)))),
% 8.02/5.54 inference(modus_ponens,[status(thm)],[4094, 4093])).
% 8.02/5.54 tff(4096,plain,
% 8.02/5.54 (v94(constB125) | ![B: $i] : ((~less_3(B)) | (v84(constB125, B) <=> v84(constB124, B)))),
% 8.02/5.54 inference(unit_resolution,[status(thm)],[4095, 4072, 824])).
% 8.02/5.54 tff(4097,plain,
% 8.02/5.54 (![B: $i] : ((~less_3(B)) | (v84(constB125, B) <=> v84(constB124, B)))),
% 8.02/5.54 inference(unit_resolution,[status(thm)],[4096, 4092])).
% 8.02/5.54 tff(4098,plain,
% 8.02/5.54 (((~![B: $i] : ((~less_3(B)) | (v84(constB125, B) <=> v84(constB124, B)))) | ((~less_3(bitIndex2)) | (v84(constB125, bitIndex2) <=> v84(constB124, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB125, B) <=> v84(constB124, B)))) | (~less_3(bitIndex2)) | (v84(constB125, bitIndex2) <=> v84(constB124, bitIndex2)))),
% 8.02/5.54 inference(rewrite,[status(thm)],[])).
% 8.02/5.54 tff(4099,plain,
% 8.02/5.54 ((~![B: $i] : ((~less_3(B)) | (v84(constB125, B) <=> v84(constB124, B)))) | ((~less_3(bitIndex2)) | (v84(constB125, bitIndex2) <=> v84(constB124, bitIndex2)))),
% 8.02/5.54 inference(quant_inst,[status(thm)],[])).
% 8.02/5.54 tff(4100,plain,
% 8.02/5.54 ((~![B: $i] : ((~less_3(B)) | (v84(constB125, B) <=> v84(constB124, B)))) | (~less_3(bitIndex2)) | (v84(constB125, bitIndex2) <=> v84(constB124, bitIndex2))),
% 8.02/5.54 inference(modus_ponens,[status(thm)],[4099, 4098])).
% 8.02/5.54 tff(4101,plain,
% 8.02/5.54 (v84(constB125, bitIndex2) <=> v84(constB124, bitIndex2)),
% 8.02/5.54 inference(unit_resolution,[status(thm)],[4100, 832, 4097])).
% 8.02/5.54 tff(4102,plain,
% 8.02/5.54 (nextState(constB123, constB124) <=> nextState(constB123, constB124)),
% 8.02/5.54 inference(rewrite,[status(thm)],[])).
% 8.02/5.54 tff(4103,axiom,(nextState(constB123, constB124)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_123')).
% 8.02/5.54 tff(4104,plain,
% 8.02/5.54 (nextState(constB123, constB124)),
% 8.02/5.54 inference(modus_ponens,[status(thm)],[4103, 4102])).
% 8.02/5.54 tff(4105,plain,
% 8.02/5.54 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB123, constB124)) | (v94(constB124) <=> (~((~v104(constB124)) | (~v95(constB124))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB123, constB124)) | (v94(constB124) <=> (~((~v104(constB124)) | (~v95(constB124))))))),
% 8.02/5.54 inference(rewrite,[status(thm)],[])).
% 8.02/5.54 tff(4106,plain,
% 8.02/5.54 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB123, constB124)) | (v94(constB124) <=> (~((~v104(constB124)) | (~v95(constB124))))))),
% 8.02/5.54 inference(quant_inst,[status(thm)],[])).
% 8.02/5.54 tff(4107,plain,
% 8.02/5.54 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB123, constB124)) | (v94(constB124) <=> (~((~v104(constB124)) | (~v95(constB124)))))),
% 8.02/5.54 inference(modus_ponens,[status(thm)],[4106, 4105])).
% 8.02/5.54 tff(4108,plain,
% 8.02/5.54 (v94(constB124) <=> (~((~v104(constB124)) | (~v95(constB124))))),
% 8.02/5.54 inference(unit_resolution,[status(thm)],[4107, 4104, 775])).
% 8.02/5.54 tff(4109,plain,
% 8.02/5.54 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB123, constB124)) | (v95(constB124) <=> (~((~v1(constB124)) | (~v96(constB124))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB123, constB124)) | (v95(constB124) <=> (~((~v1(constB124)) | (~v96(constB124))))))),
% 8.02/5.54 inference(rewrite,[status(thm)],[])).
% 8.02/5.54 tff(4110,plain,
% 8.02/5.54 (((~nextState(constB123, constB124)) | (v95(constB124) <=> (~((~v96(constB124)) | (~v1(constB124)))))) <=> ((~nextState(constB123, constB124)) | (v95(constB124) <=> (~((~v1(constB124)) | (~v96(constB124))))))),
% 8.02/5.54 inference(rewrite,[status(thm)],[])).
% 8.02/5.54 tff(4111,plain,
% 8.02/5.54 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB123, constB124)) | (v95(constB124) <=> (~((~v96(constB124)) | (~v1(constB124))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB123, constB124)) | (v95(constB124) <=> (~((~v1(constB124)) | (~v96(constB124)))))))),
% 8.02/5.54 inference(monotonicity,[status(thm)],[4110])).
% 8.02/5.54 tff(4112,plain,
% 8.02/5.54 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB123, constB124)) | (v95(constB124) <=> (~((~v96(constB124)) | (~v1(constB124))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB123, constB124)) | (v95(constB124) <=> (~((~v1(constB124)) | (~v96(constB124))))))),
% 8.02/5.54 inference(transitivity,[status(thm)],[4111, 4109])).
% 8.02/5.54 tff(4113,plain,
% 8.02/5.54 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB123, constB124)) | (v95(constB124) <=> (~((~v96(constB124)) | (~v1(constB124))))))),
% 8.02/5.54 inference(quant_inst,[status(thm)],[])).
% 8.02/5.54 tff(4114,plain,
% 8.02/5.54 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB123, constB124)) | (v95(constB124) <=> (~((~v1(constB124)) | (~v96(constB124)))))),
% 8.02/5.54 inference(modus_ponens,[status(thm)],[4113, 4112])).
% 8.02/5.54 tff(4115,plain,
% 8.02/5.54 (v95(constB124) <=> (~((~v1(constB124)) | (~v96(constB124))))),
% 8.02/5.54 inference(unit_resolution,[status(thm)],[4114, 4104, 795])).
% 8.02/5.54 tff(4116,plain,
% 8.02/5.54 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB123, constB124)) | ((~v96(constB124)) <=> v98(constB124)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB123, constB124)) | ((~v96(constB124)) <=> v98(constB124)))),
% 8.02/5.54 inference(rewrite,[status(thm)],[])).
% 8.02/5.54 tff(4117,plain,
% 8.02/5.54 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB123, constB124)) | ((~v96(constB124)) <=> v98(constB124)))),
% 8.02/5.54 inference(quant_inst,[status(thm)],[])).
% 8.02/5.54 tff(4118,plain,
% 8.02/5.54 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB123, constB124)) | ((~v96(constB124)) <=> v98(constB124))),
% 8.02/5.54 inference(modus_ponens,[status(thm)],[4117, 4116])).
% 8.02/5.54 tff(4119,plain,
% 8.02/5.54 ((~v96(constB124)) <=> v98(constB124)),
% 8.02/5.54 inference(unit_resolution,[status(thm)],[4118, 4104, 860])).
% 8.02/5.54 tff(4120,plain,
% 8.02/5.54 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB123, constB124)) | (v98(constB124) <=> v1(constB123)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB123, constB124)) | (v98(constB124) <=> v1(constB123)))),
% 8.02/5.54 inference(rewrite,[status(thm)],[])).
% 8.02/5.54 tff(4121,plain,
% 8.02/5.54 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB123, constB124)) | (v98(constB124) <=> v1(constB123)))),
% 8.02/5.54 inference(quant_inst,[status(thm)],[])).
% 8.02/5.54 tff(4122,plain,
% 8.02/5.54 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB123, constB124)) | (v98(constB124) <=> v1(constB123))),
% 8.02/5.54 inference(modus_ponens,[status(thm)],[4121, 4120])).
% 8.02/5.54 tff(4123,plain,
% 8.02/5.54 (v98(constB124) <=> v1(constB123)),
% 8.02/5.54 inference(unit_resolution,[status(thm)],[4122, 4104, 874])).
% 8.02/5.54 tff(4124,plain,
% 8.02/5.54 ((~v1(constB123)) <=> (~v1(constB123))),
% 8.02/5.54 inference(rewrite,[status(thm)],[])).
% 8.02/5.54 tff(4125,axiom,(~v1(constB123)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_123')).
% 8.02/5.54 tff(4126,plain,
% 8.02/5.54 (~v1(constB123)),
% 8.02/5.54 inference(modus_ponens,[status(thm)],[4125, 4124])).
% 8.02/5.54 tff(4127,plain,
% 8.02/5.54 ((~(v98(constB124) <=> v1(constB123))) | (~v98(constB124)) | v1(constB123)),
% 8.02/5.54 inference(tautology,[status(thm)],[])).
% 8.02/5.54 tff(4128,plain,
% 8.02/5.54 ((~(v98(constB124) <=> v1(constB123))) | (~v98(constB124))),
% 8.02/5.54 inference(unit_resolution,[status(thm)],[4127, 4126])).
% 8.02/5.54 tff(4129,plain,
% 8.02/5.54 (~v98(constB124)),
% 8.02/5.54 inference(unit_resolution,[status(thm)],[4128, 4123])).
% 8.02/5.54 tff(4130,plain,
% 8.02/5.54 ((~((~v96(constB124)) <=> v98(constB124))) | v96(constB124) | v98(constB124)),
% 8.02/5.54 inference(tautology,[status(thm)],[])).
% 8.02/5.54 tff(4131,plain,
% 8.02/5.54 (v96(constB124)),
% 8.02/5.54 inference(unit_resolution,[status(thm)],[4130, 4129, 4119])).
% 8.02/5.54 tff(4132,plain,
% 8.02/5.54 (v1(constB124) <=> v1(constB124)),
% 8.02/5.54 inference(rewrite,[status(thm)],[])).
% 8.02/5.54 tff(4133,axiom,(v1(constB124)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_124')).
% 8.02/5.54 tff(4134,plain,
% 8.02/5.54 (v1(constB124)),
% 8.02/5.54 inference(modus_ponens,[status(thm)],[4133, 4132])).
% 8.02/5.54 tff(4135,plain,
% 8.02/5.54 ((~((~v1(constB124)) | (~v96(constB124)))) | (~v1(constB124)) | (~v96(constB124))),
% 8.02/5.54 inference(tautology,[status(thm)],[])).
% 8.02/5.54 tff(4136,plain,
% 8.02/5.54 ((~((~v1(constB124)) | (~v96(constB124)))) | (~v96(constB124))),
% 8.02/5.54 inference(unit_resolution,[status(thm)],[4135, 4134])).
% 8.02/5.54 tff(4137,plain,
% 8.02/5.54 (~((~v1(constB124)) | (~v96(constB124)))),
% 8.02/5.54 inference(unit_resolution,[status(thm)],[4136, 4131])).
% 8.02/5.54 tff(4138,plain,
% 8.02/5.54 ((~(v95(constB124) <=> (~((~v1(constB124)) | (~v96(constB124)))))) | v95(constB124) | ((~v1(constB124)) | (~v96(constB124)))),
% 8.02/5.54 inference(tautology,[status(thm)],[])).
% 8.02/5.54 tff(4139,plain,
% 8.02/5.54 (v95(constB124)),
% 8.02/5.54 inference(unit_resolution,[status(thm)],[4138, 4137, 4115])).
% 8.02/5.54 tff(4140,plain,
% 8.02/5.54 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB123, constB124)) | (v104(constB124) <=> v102(constB123)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB123, constB124)) | (v104(constB124) <=> v102(constB123)))),
% 8.02/5.54 inference(rewrite,[status(thm)],[])).
% 8.02/5.54 tff(4141,plain,
% 8.02/5.54 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB123, constB124)) | (v104(constB124) <=> v102(constB123)))),
% 8.02/5.54 inference(quant_inst,[status(thm)],[])).
% 8.02/5.54 tff(4142,plain,
% 8.02/5.54 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB123, constB124)) | (v104(constB124) <=> v102(constB123))),
% 8.02/5.54 inference(modus_ponens,[status(thm)],[4141, 4140])).
% 8.02/5.54 tff(4143,plain,
% 8.02/5.54 (v104(constB124) <=> v102(constB123)),
% 8.02/5.54 inference(unit_resolution,[status(thm)],[4142, 4104, 904])).
% 8.02/5.54 tff(4144,plain,
% 8.02/5.54 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB123) <=> (v105(constB123) | v106(constB123)))),
% 8.02/5.54 inference(quant_inst,[status(thm)],[])).
% 8.02/5.54 tff(4145,plain,
% 8.02/5.54 (v102(constB123) <=> (v105(constB123) | v106(constB123))),
% 8.02/5.54 inference(unit_resolution,[status(thm)],[4144, 915])).
% 8.02/5.54 tff(4146,plain,
% 8.02/5.54 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB123) <=> (~((~v107(constB123)) | (~v120(constB123)))))),
% 8.02/5.54 inference(quant_inst,[status(thm)],[])).
% 8.02/5.54 tff(4147,plain,
% 8.02/5.54 (v106(constB123) <=> (~((~v107(constB123)) | (~v120(constB123))))),
% 8.02/5.54 inference(unit_resolution,[status(thm)],[4146, 927])).
% 8.02/5.54 tff(4148,plain,
% 8.02/5.54 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB123) <=> (v108(constB123) | v119(constB123)))),
% 8.02/5.54 inference(quant_inst,[status(thm)],[])).
% 8.02/5.54 tff(4149,plain,
% 8.02/5.54 (v107(constB123) <=> (v108(constB123) | v119(constB123))),
% 8.02/5.54 inference(unit_resolution,[status(thm)],[4148, 936])).
% 8.02/5.54 tff(4150,plain,
% 8.02/5.54 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB123) <=> (v109(constB123) | v118(constB123)))),
% 8.02/5.54 inference(quant_inst,[status(thm)],[])).
% 8.02/5.54 tff(4151,plain,
% 8.02/5.54 (v108(constB123) <=> (v109(constB123) | v118(constB123))),
% 8.02/5.54 inference(unit_resolution,[status(thm)],[4150, 945])).
% 8.02/5.54 tff(4152,plain,
% 8.02/5.54 ((~![VarCurr: $i] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB123) <=> (v110(constB123) | v117(constB123)))),
% 8.02/5.54 inference(quant_inst,[status(thm)],[])).
% 8.02/5.54 tff(4153,plain,
% 8.02/5.54 (v109(constB123) <=> (v110(constB123) | v117(constB123))),
% 8.02/5.54 inference(unit_resolution,[status(thm)],[4152, 1056])).
% 8.02/5.54 tff(4154,plain,
% 8.02/5.54 ((~![VarCurr: $i] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB123) <=> (v111(constB123) | v116(constB123)))),
% 8.02/5.54 inference(quant_inst,[status(thm)],[])).
% 8.02/5.54 tff(4155,plain,
% 8.02/5.54 (v110(constB123) <=> (v111(constB123) | v116(constB123))),
% 8.02/5.54 inference(unit_resolution,[status(thm)],[4154, 1169])).
% 8.02/5.54 tff(4156,plain,
% 8.02/5.54 ((~![VarCurr: $i] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB123) <=> (v112(constB123) | v115(constB123)))),
% 8.02/5.54 inference(quant_inst,[status(thm)],[])).
% 8.02/5.54 tff(4157,plain,
% 8.02/5.54 (v111(constB123) <=> (v112(constB123) | v115(constB123))),
% 8.02/5.54 inference(unit_resolution,[status(thm)],[4156, 1279])).
% 8.02/5.54 tff(4158,plain,
% 8.02/5.54 ((~![VarCurr: $i] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))) | (v112(constB123) <=> (v113(constB123) | v114(constB123)))),
% 8.02/5.54 inference(quant_inst,[status(thm)],[])).
% 8.02/5.54 tff(4159,plain,
% 8.02/5.54 (v112(constB123) <=> (v113(constB123) | v114(constB123))),
% 8.02/5.54 inference(unit_resolution,[status(thm)],[4158, 1396])).
% 8.02/5.54 tff(4160,plain,
% 8.02/5.54 (((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB123) <=> (~(v84(constB123, bitIndex2) | v84(constB123, bitIndex1) | (~v84(constB123, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB123) <=> (~(v84(constB123, bitIndex2) | v84(constB123, bitIndex1) | (~v84(constB123, bitIndex0))))))),
% 8.02/5.54 inference(rewrite,[status(thm)],[])).
% 8.02/5.54 tff(4161,plain,
% 8.02/5.54 ((v114(constB123) <=> (~(v84(constB123, bitIndex1) | v84(constB123, bitIndex2) | (~v84(constB123, bitIndex0))))) <=> (v114(constB123) <=> (~(v84(constB123, bitIndex2) | v84(constB123, bitIndex1) | (~v84(constB123, bitIndex0)))))),
% 8.02/5.54 inference(rewrite,[status(thm)],[])).
% 8.02/5.54 tff(4162,plain,
% 8.02/5.54 (((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB123) <=> (~(v84(constB123, bitIndex1) | v84(constB123, bitIndex2) | (~v84(constB123, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB123) <=> (~(v84(constB123, bitIndex2) | v84(constB123, bitIndex1) | (~v84(constB123, bitIndex0))))))),
% 8.02/5.54 inference(monotonicity,[status(thm)],[4161])).
% 8.02/5.54 tff(4163,plain,
% 8.02/5.54 (((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB123) <=> (~(v84(constB123, bitIndex1) | v84(constB123, bitIndex2) | (~v84(constB123, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB123) <=> (~(v84(constB123, bitIndex2) | v84(constB123, bitIndex1) | (~v84(constB123, bitIndex0))))))),
% 8.02/5.54 inference(transitivity,[status(thm)],[4162, 4160])).
% 8.02/5.54 tff(4164,plain,
% 8.02/5.54 ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB123) <=> (~(v84(constB123, bitIndex1) | v84(constB123, bitIndex2) | (~v84(constB123, bitIndex0)))))),
% 8.02/5.54 inference(quant_inst,[status(thm)],[])).
% 8.02/5.54 tff(4165,plain,
% 8.02/5.54 ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB123) <=> (~(v84(constB123, bitIndex2) | v84(constB123, bitIndex1) | (~v84(constB123, bitIndex0)))))),
% 8.02/5.54 inference(modus_ponens,[status(thm)],[4164, 4163])).
% 8.02/5.54 tff(4166,plain,
% 8.02/5.54 (v114(constB123) <=> (~(v84(constB123, bitIndex2) | v84(constB123, bitIndex1) | (~v84(constB123, bitIndex0))))),
% 8.02/5.54 inference(unit_resolution,[status(thm)],[4165, 1411])).
% 8.02/5.54 tff(4167,plain,
% 8.02/5.54 (nextState(constB122, constB123) <=> nextState(constB122, constB123)),
% 8.02/5.54 inference(rewrite,[status(thm)],[])).
% 8.02/5.54 tff(4168,axiom,(nextState(constB122, constB123)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_122')).
% 8.02/5.54 tff(4169,plain,
% 8.02/5.54 (nextState(constB122, constB123)),
% 8.02/5.54 inference(modus_ponens,[status(thm)],[4168, 4167])).
% 8.02/5.54 tff(4170,plain,
% 8.02/5.54 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB122, constB123)) | (v94(constB123) <=> (~((~v104(constB123)) | (~v95(constB123))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB122, constB123)) | (v94(constB123) <=> (~((~v104(constB123)) | (~v95(constB123))))))),
% 8.02/5.54 inference(rewrite,[status(thm)],[])).
% 8.02/5.54 tff(4171,plain,
% 8.02/5.54 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB122, constB123)) | (v94(constB123) <=> (~((~v104(constB123)) | (~v95(constB123))))))),
% 8.02/5.54 inference(quant_inst,[status(thm)],[])).
% 8.02/5.54 tff(4172,plain,
% 8.02/5.54 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB122, constB123)) | (v94(constB123) <=> (~((~v104(constB123)) | (~v95(constB123)))))),
% 8.02/5.54 inference(modus_ponens,[status(thm)],[4171, 4170])).
% 8.02/5.54 tff(4173,plain,
% 8.02/5.54 (v94(constB123) <=> (~((~v104(constB123)) | (~v95(constB123))))),
% 8.02/5.54 inference(unit_resolution,[status(thm)],[4172, 4169, 775])).
% 8.02/5.54 tff(4174,plain,
% 8.02/5.54 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB122, constB123)) | (v95(constB123) <=> (~((~v1(constB123)) | (~v96(constB123))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB122, constB123)) | (v95(constB123) <=> (~((~v1(constB123)) | (~v96(constB123))))))),
% 8.02/5.54 inference(rewrite,[status(thm)],[])).
% 8.02/5.54 tff(4175,plain,
% 8.02/5.54 (((~nextState(constB122, constB123)) | (v95(constB123) <=> (~((~v96(constB123)) | (~v1(constB123)))))) <=> ((~nextState(constB122, constB123)) | (v95(constB123) <=> (~((~v1(constB123)) | (~v96(constB123))))))),
% 8.02/5.54 inference(rewrite,[status(thm)],[])).
% 8.02/5.54 tff(4176,plain,
% 8.02/5.54 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB122, constB123)) | (v95(constB123) <=> (~((~v96(constB123)) | (~v1(constB123))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB122, constB123)) | (v95(constB123) <=> (~((~v1(constB123)) | (~v96(constB123)))))))),
% 8.02/5.54 inference(monotonicity,[status(thm)],[4175])).
% 8.02/5.54 tff(4177,plain,
% 8.02/5.54 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB122, constB123)) | (v95(constB123) <=> (~((~v96(constB123)) | (~v1(constB123))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB122, constB123)) | (v95(constB123) <=> (~((~v1(constB123)) | (~v96(constB123))))))),
% 8.02/5.54 inference(transitivity,[status(thm)],[4176, 4174])).
% 8.02/5.54 tff(4178,plain,
% 8.02/5.54 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB122, constB123)) | (v95(constB123) <=> (~((~v96(constB123)) | (~v1(constB123))))))),
% 8.02/5.54 inference(quant_inst,[status(thm)],[])).
% 8.02/5.54 tff(4179,plain,
% 8.02/5.54 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB122, constB123)) | (v95(constB123) <=> (~((~v1(constB123)) | (~v96(constB123)))))),
% 8.02/5.54 inference(modus_ponens,[status(thm)],[4178, 4177])).
% 8.02/5.54 tff(4180,plain,
% 8.02/5.54 (v95(constB123) <=> (~((~v1(constB123)) | (~v96(constB123))))),
% 8.02/5.54 inference(unit_resolution,[status(thm)],[4179, 4169, 795])).
% 8.02/5.54 tff(4181,plain,
% 8.02/5.54 (((~v1(constB123)) | (~v96(constB123))) | v1(constB123)),
% 8.02/5.54 inference(tautology,[status(thm)],[])).
% 8.02/5.54 tff(4182,plain,
% 8.02/5.54 ((~v1(constB123)) | (~v96(constB123))),
% 8.02/5.54 inference(unit_resolution,[status(thm)],[4181, 4126])).
% 8.02/5.54 tff(4183,plain,
% 8.02/5.54 ((~(v95(constB123) <=> (~((~v1(constB123)) | (~v96(constB123)))))) | (~v95(constB123)) | (~((~v1(constB123)) | (~v96(constB123))))),
% 8.02/5.54 inference(tautology,[status(thm)],[])).
% 8.02/5.54 tff(4184,plain,
% 8.02/5.54 ((~(v95(constB123) <=> (~((~v1(constB123)) | (~v96(constB123)))))) | (~v95(constB123))),
% 8.02/5.54 inference(unit_resolution,[status(thm)],[4183, 4182])).
% 8.02/5.54 tff(4185,plain,
% 8.02/5.54 (~v95(constB123)),
% 8.02/5.54 inference(unit_resolution,[status(thm)],[4184, 4180])).
% 8.02/5.54 tff(4186,plain,
% 8.02/5.54 (((~v104(constB123)) | (~v95(constB123))) | v95(constB123)),
% 8.02/5.54 inference(tautology,[status(thm)],[])).
% 8.02/5.54 tff(4187,plain,
% 8.02/5.54 ((~v104(constB123)) | (~v95(constB123))),
% 8.02/5.54 inference(unit_resolution,[status(thm)],[4186, 4185])).
% 8.02/5.54 tff(4188,plain,
% 8.02/5.54 ((~(v94(constB123) <=> (~((~v104(constB123)) | (~v95(constB123)))))) | (~v94(constB123)) | (~((~v104(constB123)) | (~v95(constB123))))),
% 8.02/5.54 inference(tautology,[status(thm)],[])).
% 8.02/5.54 tff(4189,plain,
% 8.02/5.54 (~v94(constB123)),
% 8.02/5.54 inference(unit_resolution,[status(thm)],[4188, 4187, 4173])).
% 8.02/5.54 tff(4190,plain,
% 8.02/5.54 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB123) | (~nextState(constB122, constB123)) | ![B: $i] : ((~less_3(B)) | (v84(constB123, B) <=> v84(constB122, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB123) | (~nextState(constB122, constB123)) | ![B: $i] : ((~less_3(B)) | (v84(constB123, B) <=> v84(constB122, B))))),
% 8.02/5.54 inference(rewrite,[status(thm)],[])).
% 8.02/5.54 tff(4191,plain,
% 8.02/5.54 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB123) | (~nextState(constB122, constB123)) | ![B: $i] : ((~less_3(B)) | (v84(constB123, B) <=> v84(constB122, B))))),
% 8.02/5.54 inference(quant_inst,[status(thm)],[])).
% 8.02/5.54 tff(4192,plain,
% 8.02/5.54 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB123) | (~nextState(constB122, constB123)) | ![B: $i] : ((~less_3(B)) | (v84(constB123, B) <=> v84(constB122, B)))),
% 8.02/5.54 inference(modus_ponens,[status(thm)],[4191, 4190])).
% 8.02/5.54 tff(4193,plain,
% 8.02/5.54 (v94(constB123) | ![B: $i] : ((~less_3(B)) | (v84(constB123, B) <=> v84(constB122, B)))),
% 8.02/5.54 inference(unit_resolution,[status(thm)],[4192, 4169, 824])).
% 8.02/5.54 tff(4194,plain,
% 8.02/5.54 (![B: $i] : ((~less_3(B)) | (v84(constB123, B) <=> v84(constB122, B)))),
% 8.02/5.54 inference(unit_resolution,[status(thm)],[4193, 4189])).
% 8.02/5.54 tff(4195,plain,
% 8.02/5.54 (((~![B: $i] : ((~less_3(B)) | (v84(constB123, B) <=> v84(constB122, B)))) | ((~less_3(bitIndex2)) | (v84(constB123, bitIndex2) <=> v84(constB122, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB123, B) <=> v84(constB122, B)))) | (~less_3(bitIndex2)) | (v84(constB123, bitIndex2) <=> v84(constB122, bitIndex2)))),
% 8.02/5.54 inference(rewrite,[status(thm)],[])).
% 8.02/5.54 tff(4196,plain,
% 8.02/5.54 ((~![B: $i] : ((~less_3(B)) | (v84(constB123, B) <=> v84(constB122, B)))) | ((~less_3(bitIndex2)) | (v84(constB123, bitIndex2) <=> v84(constB122, bitIndex2)))),
% 8.02/5.54 inference(quant_inst,[status(thm)],[])).
% 8.02/5.54 tff(4197,plain,
% 8.02/5.54 ((~![B: $i] : ((~less_3(B)) | (v84(constB123, B) <=> v84(constB122, B)))) | (~less_3(bitIndex2)) | (v84(constB123, bitIndex2) <=> v84(constB122, bitIndex2))),
% 8.02/5.54 inference(modus_ponens,[status(thm)],[4196, 4195])).
% 8.02/5.54 tff(4198,plain,
% 8.02/5.54 (v84(constB123, bitIndex2) <=> v84(constB122, bitIndex2)),
% 8.02/5.54 inference(unit_resolution,[status(thm)],[4197, 832, 4194])).
% 8.02/5.54 tff(4199,plain,
% 8.02/5.54 (nextState(constB121, constB122) <=> nextState(constB121, constB122)),
% 8.02/5.54 inference(rewrite,[status(thm)],[])).
% 8.02/5.54 tff(4200,axiom,(nextState(constB121, constB122)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_121')).
% 8.02/5.54 tff(4201,plain,
% 8.02/5.54 (nextState(constB121, constB122)),
% 8.02/5.54 inference(modus_ponens,[status(thm)],[4200, 4199])).
% 8.02/5.54 tff(4202,plain,
% 8.02/5.54 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB121, constB122)) | (v94(constB122) <=> (~((~v104(constB122)) | (~v95(constB122))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB121, constB122)) | (v94(constB122) <=> (~((~v104(constB122)) | (~v95(constB122))))))),
% 8.02/5.54 inference(rewrite,[status(thm)],[])).
% 8.02/5.54 tff(4203,plain,
% 8.02/5.54 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB121, constB122)) | (v94(constB122) <=> (~((~v104(constB122)) | (~v95(constB122))))))),
% 8.02/5.54 inference(quant_inst,[status(thm)],[])).
% 8.02/5.54 tff(4204,plain,
% 8.02/5.54 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB121, constB122)) | (v94(constB122) <=> (~((~v104(constB122)) | (~v95(constB122)))))),
% 8.02/5.54 inference(modus_ponens,[status(thm)],[4203, 4202])).
% 8.02/5.54 tff(4205,plain,
% 8.02/5.54 (v94(constB122) <=> (~((~v104(constB122)) | (~v95(constB122))))),
% 8.02/5.54 inference(unit_resolution,[status(thm)],[4204, 4201, 775])).
% 8.02/5.54 tff(4206,plain,
% 8.02/5.54 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB121, constB122)) | (v95(constB122) <=> (~((~v1(constB122)) | (~v96(constB122))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB121, constB122)) | (v95(constB122) <=> (~((~v1(constB122)) | (~v96(constB122))))))),
% 8.02/5.55 inference(rewrite,[status(thm)],[])).
% 8.02/5.55 tff(4207,plain,
% 8.02/5.55 (((~nextState(constB121, constB122)) | (v95(constB122) <=> (~((~v96(constB122)) | (~v1(constB122)))))) <=> ((~nextState(constB121, constB122)) | (v95(constB122) <=> (~((~v1(constB122)) | (~v96(constB122))))))),
% 8.02/5.55 inference(rewrite,[status(thm)],[])).
% 8.02/5.55 tff(4208,plain,
% 8.02/5.55 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB121, constB122)) | (v95(constB122) <=> (~((~v96(constB122)) | (~v1(constB122))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB121, constB122)) | (v95(constB122) <=> (~((~v1(constB122)) | (~v96(constB122)))))))),
% 8.02/5.55 inference(monotonicity,[status(thm)],[4207])).
% 8.02/5.55 tff(4209,plain,
% 8.02/5.55 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB121, constB122)) | (v95(constB122) <=> (~((~v96(constB122)) | (~v1(constB122))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB121, constB122)) | (v95(constB122) <=> (~((~v1(constB122)) | (~v96(constB122))))))),
% 8.02/5.55 inference(transitivity,[status(thm)],[4208, 4206])).
% 8.02/5.55 tff(4210,plain,
% 8.02/5.55 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB121, constB122)) | (v95(constB122) <=> (~((~v96(constB122)) | (~v1(constB122))))))),
% 8.02/5.55 inference(quant_inst,[status(thm)],[])).
% 8.02/5.55 tff(4211,plain,
% 8.02/5.55 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB121, constB122)) | (v95(constB122) <=> (~((~v1(constB122)) | (~v96(constB122)))))),
% 8.02/5.55 inference(modus_ponens,[status(thm)],[4210, 4209])).
% 8.02/5.55 tff(4212,plain,
% 8.02/5.55 (v95(constB122) <=> (~((~v1(constB122)) | (~v96(constB122))))),
% 8.02/5.55 inference(unit_resolution,[status(thm)],[4211, 4201, 795])).
% 8.02/5.55 tff(4213,plain,
% 8.02/5.55 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB121, constB122)) | ((~v96(constB122)) <=> v98(constB122)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB121, constB122)) | ((~v96(constB122)) <=> v98(constB122)))),
% 8.02/5.55 inference(rewrite,[status(thm)],[])).
% 8.02/5.55 tff(4214,plain,
% 8.02/5.55 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB121, constB122)) | ((~v96(constB122)) <=> v98(constB122)))),
% 8.02/5.55 inference(quant_inst,[status(thm)],[])).
% 8.02/5.55 tff(4215,plain,
% 8.02/5.55 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB121, constB122)) | ((~v96(constB122)) <=> v98(constB122))),
% 8.02/5.55 inference(modus_ponens,[status(thm)],[4214, 4213])).
% 8.02/5.55 tff(4216,plain,
% 8.02/5.55 ((~v96(constB122)) <=> v98(constB122)),
% 8.02/5.55 inference(unit_resolution,[status(thm)],[4215, 4201, 860])).
% 8.02/5.55 tff(4217,plain,
% 8.02/5.55 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB121, constB122)) | (v98(constB122) <=> v1(constB121)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB121, constB122)) | (v98(constB122) <=> v1(constB121)))),
% 8.02/5.55 inference(rewrite,[status(thm)],[])).
% 8.02/5.55 tff(4218,plain,
% 8.02/5.55 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB121, constB122)) | (v98(constB122) <=> v1(constB121)))),
% 8.02/5.55 inference(quant_inst,[status(thm)],[])).
% 8.02/5.55 tff(4219,plain,
% 8.02/5.55 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB121, constB122)) | (v98(constB122) <=> v1(constB121))),
% 8.02/5.55 inference(modus_ponens,[status(thm)],[4218, 4217])).
% 8.02/5.55 tff(4220,plain,
% 8.02/5.55 (v98(constB122) <=> v1(constB121)),
% 8.02/5.55 inference(unit_resolution,[status(thm)],[4219, 4201, 874])).
% 8.02/5.55 tff(4221,plain,
% 8.02/5.55 ((~v1(constB121)) <=> (~v1(constB121))),
% 8.02/5.55 inference(rewrite,[status(thm)],[])).
% 8.02/5.55 tff(4222,axiom,(~v1(constB121)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_121')).
% 8.02/5.55 tff(4223,plain,
% 8.02/5.55 (~v1(constB121)),
% 8.02/5.55 inference(modus_ponens,[status(thm)],[4222, 4221])).
% 8.02/5.55 tff(4224,plain,
% 8.02/5.55 ((~(v98(constB122) <=> v1(constB121))) | (~v98(constB122)) | v1(constB121)),
% 8.02/5.55 inference(tautology,[status(thm)],[])).
% 8.02/5.55 tff(4225,plain,
% 8.02/5.55 ((~(v98(constB122) <=> v1(constB121))) | (~v98(constB122))),
% 8.02/5.55 inference(unit_resolution,[status(thm)],[4224, 4223])).
% 8.02/5.55 tff(4226,plain,
% 8.02/5.55 (~v98(constB122)),
% 8.02/5.55 inference(unit_resolution,[status(thm)],[4225, 4220])).
% 8.02/5.55 tff(4227,plain,
% 8.02/5.55 ((~((~v96(constB122)) <=> v98(constB122))) | v96(constB122) | v98(constB122)),
% 8.02/5.55 inference(tautology,[status(thm)],[])).
% 8.02/5.55 tff(4228,plain,
% 8.02/5.55 (v96(constB122)),
% 8.02/5.55 inference(unit_resolution,[status(thm)],[4227, 4226, 4216])).
% 8.02/5.55 tff(4229,plain,
% 8.02/5.55 (v1(constB122) <=> v1(constB122)),
% 8.02/5.55 inference(rewrite,[status(thm)],[])).
% 8.02/5.55 tff(4230,axiom,(v1(constB122)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_122')).
% 8.02/5.55 tff(4231,plain,
% 8.02/5.55 (v1(constB122)),
% 8.02/5.55 inference(modus_ponens,[status(thm)],[4230, 4229])).
% 8.02/5.55 tff(4232,plain,
% 8.02/5.55 ((~((~v1(constB122)) | (~v96(constB122)))) | (~v1(constB122)) | (~v96(constB122))),
% 8.02/5.55 inference(tautology,[status(thm)],[])).
% 8.02/5.55 tff(4233,plain,
% 8.02/5.55 ((~((~v1(constB122)) | (~v96(constB122)))) | (~v96(constB122))),
% 8.02/5.55 inference(unit_resolution,[status(thm)],[4232, 4231])).
% 8.02/5.55 tff(4234,plain,
% 8.02/5.55 (~((~v1(constB122)) | (~v96(constB122)))),
% 8.02/5.55 inference(unit_resolution,[status(thm)],[4233, 4228])).
% 8.02/5.55 tff(4235,plain,
% 8.02/5.55 ((~(v95(constB122) <=> (~((~v1(constB122)) | (~v96(constB122)))))) | v95(constB122) | ((~v1(constB122)) | (~v96(constB122)))),
% 8.02/5.55 inference(tautology,[status(thm)],[])).
% 8.02/5.55 tff(4236,plain,
% 8.02/5.55 (v95(constB122)),
% 8.02/5.55 inference(unit_resolution,[status(thm)],[4235, 4234, 4212])).
% 8.02/5.55 tff(4237,plain,
% 8.02/5.55 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB121, constB122)) | (v104(constB122) <=> v102(constB121)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB121, constB122)) | (v104(constB122) <=> v102(constB121)))),
% 8.02/5.55 inference(rewrite,[status(thm)],[])).
% 8.02/5.55 tff(4238,plain,
% 8.02/5.55 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB121, constB122)) | (v104(constB122) <=> v102(constB121)))),
% 8.02/5.55 inference(quant_inst,[status(thm)],[])).
% 8.02/5.55 tff(4239,plain,
% 8.02/5.55 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB121, constB122)) | (v104(constB122) <=> v102(constB121))),
% 8.02/5.55 inference(modus_ponens,[status(thm)],[4238, 4237])).
% 8.02/5.55 tff(4240,plain,
% 8.02/5.55 (v104(constB122) <=> v102(constB121)),
% 8.02/5.55 inference(unit_resolution,[status(thm)],[4239, 4201, 904])).
% 8.02/5.55 tff(4241,plain,
% 8.02/5.55 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB121) <=> (v105(constB121) | v106(constB121)))),
% 8.02/5.55 inference(quant_inst,[status(thm)],[])).
% 8.02/5.55 tff(4242,plain,
% 8.02/5.55 (v102(constB121) <=> (v105(constB121) | v106(constB121))),
% 8.02/5.55 inference(unit_resolution,[status(thm)],[4241, 915])).
% 8.02/5.55 tff(4243,plain,
% 8.02/5.55 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB121) <=> (~((~v107(constB121)) | (~v120(constB121)))))),
% 8.02/5.55 inference(quant_inst,[status(thm)],[])).
% 8.02/5.55 tff(4244,plain,
% 8.02/5.55 (v106(constB121) <=> (~((~v107(constB121)) | (~v120(constB121))))),
% 8.02/5.55 inference(unit_resolution,[status(thm)],[4243, 927])).
% 8.02/5.55 tff(4245,plain,
% 8.02/5.55 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB121) <=> (v108(constB121) | v119(constB121)))),
% 8.02/5.55 inference(quant_inst,[status(thm)],[])).
% 8.02/5.55 tff(4246,plain,
% 8.02/5.55 (v107(constB121) <=> (v108(constB121) | v119(constB121))),
% 8.02/5.55 inference(unit_resolution,[status(thm)],[4245, 936])).
% 8.02/5.55 tff(4247,plain,
% 8.02/5.55 (((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB121) <=> (~((~v84(constB121, bitIndex2)) | (~v84(constB121, bitIndex1)) | v84(constB121, bitIndex0))))) <=> ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB121) <=> (~((~v84(constB121, bitIndex2)) | (~v84(constB121, bitIndex1)) | v84(constB121, bitIndex0)))))),
% 8.02/5.55 inference(rewrite,[status(thm)],[])).
% 8.02/5.55 tff(4248,plain,
% 8.02/5.55 ((v119(constB121) <=> (~(v84(constB121, bitIndex0) | (~v84(constB121, bitIndex1)) | (~v84(constB121, bitIndex2))))) <=> (v119(constB121) <=> (~((~v84(constB121, bitIndex2)) | (~v84(constB121, bitIndex1)) | v84(constB121, bitIndex0))))),
% 8.02/5.55 inference(rewrite,[status(thm)],[])).
% 8.02/5.55 tff(4249,plain,
% 8.02/5.55 (((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB121) <=> (~(v84(constB121, bitIndex0) | (~v84(constB121, bitIndex1)) | (~v84(constB121, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB121) <=> (~((~v84(constB121, bitIndex2)) | (~v84(constB121, bitIndex1)) | v84(constB121, bitIndex0)))))),
% 8.02/5.55 inference(monotonicity,[status(thm)],[4248])).
% 8.02/5.55 tff(4250,plain,
% 8.02/5.55 (((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB121) <=> (~(v84(constB121, bitIndex0) | (~v84(constB121, bitIndex1)) | (~v84(constB121, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB121) <=> (~((~v84(constB121, bitIndex2)) | (~v84(constB121, bitIndex1)) | v84(constB121, bitIndex0)))))),
% 8.02/5.55 inference(transitivity,[status(thm)],[4249, 4247])).
% 8.02/5.55 tff(4251,plain,
% 8.02/5.55 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB121) <=> (~(v84(constB121, bitIndex0) | (~v84(constB121, bitIndex1)) | (~v84(constB121, bitIndex2)))))),
% 8.02/5.55 inference(quant_inst,[status(thm)],[])).
% 8.02/5.55 tff(4252,plain,
% 8.02/5.55 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB121) <=> (~((~v84(constB121, bitIndex2)) | (~v84(constB121, bitIndex1)) | v84(constB121, bitIndex0))))),
% 8.02/5.55 inference(modus_ponens,[status(thm)],[4251, 4250])).
% 8.02/5.55 tff(4253,plain,
% 8.02/5.55 (v119(constB121) <=> (~((~v84(constB121, bitIndex2)) | (~v84(constB121, bitIndex1)) | v84(constB121, bitIndex0)))),
% 8.02/5.55 inference(unit_resolution,[status(thm)],[4252, 1511])).
% 8.02/5.55 tff(4254,plain,
% 8.02/5.55 (nextState(constB120, constB121) <=> nextState(constB120, constB121)),
% 8.02/5.55 inference(rewrite,[status(thm)],[])).
% 8.02/5.55 tff(4255,axiom,(nextState(constB120, constB121)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_120')).
% 8.02/5.55 tff(4256,plain,
% 8.02/5.55 (nextState(constB120, constB121)),
% 8.02/5.55 inference(modus_ponens,[status(thm)],[4255, 4254])).
% 8.02/5.55 tff(4257,plain,
% 8.02/5.55 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB120, constB121)) | (v94(constB121) <=> (~((~v104(constB121)) | (~v95(constB121))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB120, constB121)) | (v94(constB121) <=> (~((~v104(constB121)) | (~v95(constB121))))))),
% 8.02/5.55 inference(rewrite,[status(thm)],[])).
% 8.02/5.55 tff(4258,plain,
% 8.02/5.55 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB120, constB121)) | (v94(constB121) <=> (~((~v104(constB121)) | (~v95(constB121))))))),
% 8.02/5.55 inference(quant_inst,[status(thm)],[])).
% 8.02/5.55 tff(4259,plain,
% 8.02/5.55 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB120, constB121)) | (v94(constB121) <=> (~((~v104(constB121)) | (~v95(constB121)))))),
% 8.02/5.55 inference(modus_ponens,[status(thm)],[4258, 4257])).
% 8.02/5.55 tff(4260,plain,
% 8.02/5.55 (v94(constB121) <=> (~((~v104(constB121)) | (~v95(constB121))))),
% 8.02/5.55 inference(unit_resolution,[status(thm)],[4259, 4256, 775])).
% 8.02/5.55 tff(4261,plain,
% 8.02/5.55 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB120, constB121)) | (v95(constB121) <=> (~((~v1(constB121)) | (~v96(constB121))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB120, constB121)) | (v95(constB121) <=> (~((~v1(constB121)) | (~v96(constB121))))))),
% 8.02/5.55 inference(rewrite,[status(thm)],[])).
% 8.02/5.55 tff(4262,plain,
% 8.02/5.55 (((~nextState(constB120, constB121)) | (v95(constB121) <=> (~((~v96(constB121)) | (~v1(constB121)))))) <=> ((~nextState(constB120, constB121)) | (v95(constB121) <=> (~((~v1(constB121)) | (~v96(constB121))))))),
% 8.02/5.55 inference(rewrite,[status(thm)],[])).
% 8.02/5.55 tff(4263,plain,
% 8.02/5.55 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB120, constB121)) | (v95(constB121) <=> (~((~v96(constB121)) | (~v1(constB121))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB120, constB121)) | (v95(constB121) <=> (~((~v1(constB121)) | (~v96(constB121)))))))),
% 8.02/5.55 inference(monotonicity,[status(thm)],[4262])).
% 8.02/5.55 tff(4264,plain,
% 8.02/5.55 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB120, constB121)) | (v95(constB121) <=> (~((~v96(constB121)) | (~v1(constB121))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB120, constB121)) | (v95(constB121) <=> (~((~v1(constB121)) | (~v96(constB121))))))),
% 8.02/5.55 inference(transitivity,[status(thm)],[4263, 4261])).
% 8.02/5.55 tff(4265,plain,
% 8.02/5.55 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB120, constB121)) | (v95(constB121) <=> (~((~v96(constB121)) | (~v1(constB121))))))),
% 8.02/5.55 inference(quant_inst,[status(thm)],[])).
% 8.02/5.55 tff(4266,plain,
% 8.02/5.55 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB120, constB121)) | (v95(constB121) <=> (~((~v1(constB121)) | (~v96(constB121)))))),
% 8.02/5.55 inference(modus_ponens,[status(thm)],[4265, 4264])).
% 8.02/5.55 tff(4267,plain,
% 8.02/5.55 (v95(constB121) <=> (~((~v1(constB121)) | (~v96(constB121))))),
% 8.02/5.55 inference(unit_resolution,[status(thm)],[4266, 4256, 795])).
% 8.02/5.55 tff(4268,plain,
% 8.02/5.55 (((~v1(constB121)) | (~v96(constB121))) | v1(constB121)),
% 8.02/5.55 inference(tautology,[status(thm)],[])).
% 8.02/5.55 tff(4269,plain,
% 8.02/5.55 ((~v1(constB121)) | (~v96(constB121))),
% 8.02/5.55 inference(unit_resolution,[status(thm)],[4268, 4223])).
% 8.02/5.55 tff(4270,plain,
% 8.02/5.55 ((~(v95(constB121) <=> (~((~v1(constB121)) | (~v96(constB121)))))) | (~v95(constB121)) | (~((~v1(constB121)) | (~v96(constB121))))),
% 8.02/5.55 inference(tautology,[status(thm)],[])).
% 8.02/5.55 tff(4271,plain,
% 8.02/5.55 ((~(v95(constB121) <=> (~((~v1(constB121)) | (~v96(constB121)))))) | (~v95(constB121))),
% 8.02/5.55 inference(unit_resolution,[status(thm)],[4270, 4269])).
% 8.02/5.55 tff(4272,plain,
% 8.02/5.55 (~v95(constB121)),
% 8.02/5.55 inference(unit_resolution,[status(thm)],[4271, 4267])).
% 8.02/5.55 tff(4273,plain,
% 8.02/5.55 (((~v104(constB121)) | (~v95(constB121))) | v95(constB121)),
% 8.02/5.55 inference(tautology,[status(thm)],[])).
% 8.02/5.55 tff(4274,plain,
% 8.02/5.55 ((~v104(constB121)) | (~v95(constB121))),
% 8.02/5.55 inference(unit_resolution,[status(thm)],[4273, 4272])).
% 8.02/5.55 tff(4275,plain,
% 8.02/5.55 ((~(v94(constB121) <=> (~((~v104(constB121)) | (~v95(constB121)))))) | (~v94(constB121)) | (~((~v104(constB121)) | (~v95(constB121))))),
% 8.02/5.55 inference(tautology,[status(thm)],[])).
% 8.02/5.55 tff(4276,plain,
% 8.02/5.55 (~v94(constB121)),
% 8.02/5.55 inference(unit_resolution,[status(thm)],[4275, 4274, 4260])).
% 8.02/5.55 tff(4277,plain,
% 8.02/5.55 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB121) | (~nextState(constB120, constB121)) | ![B: $i] : ((~less_3(B)) | (v84(constB121, B) <=> v84(constB120, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB121) | (~nextState(constB120, constB121)) | ![B: $i] : ((~less_3(B)) | (v84(constB121, B) <=> v84(constB120, B))))),
% 8.02/5.55 inference(rewrite,[status(thm)],[])).
% 8.02/5.55 tff(4278,plain,
% 8.02/5.55 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB121) | (~nextState(constB120, constB121)) | ![B: $i] : ((~less_3(B)) | (v84(constB121, B) <=> v84(constB120, B))))),
% 8.02/5.55 inference(quant_inst,[status(thm)],[])).
% 8.02/5.55 tff(4279,plain,
% 8.02/5.55 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB121) | (~nextState(constB120, constB121)) | ![B: $i] : ((~less_3(B)) | (v84(constB121, B) <=> v84(constB120, B)))),
% 8.02/5.55 inference(modus_ponens,[status(thm)],[4278, 4277])).
% 8.02/5.55 tff(4280,plain,
% 8.02/5.55 (v94(constB121) | ![B: $i] : ((~less_3(B)) | (v84(constB121, B) <=> v84(constB120, B)))),
% 8.02/5.55 inference(unit_resolution,[status(thm)],[4279, 4256, 824])).
% 8.02/5.55 tff(4281,plain,
% 8.02/5.55 (![B: $i] : ((~less_3(B)) | (v84(constB121, B) <=> v84(constB120, B)))),
% 8.02/5.55 inference(unit_resolution,[status(thm)],[4280, 4276])).
% 8.02/5.55 tff(4282,plain,
% 8.02/5.55 (((~![B: $i] : ((~less_3(B)) | (v84(constB121, B) <=> v84(constB120, B)))) | ((~less_3(bitIndex2)) | (v84(constB121, bitIndex2) <=> v84(constB120, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB121, B) <=> v84(constB120, B)))) | (~less_3(bitIndex2)) | (v84(constB121, bitIndex2) <=> v84(constB120, bitIndex2)))),
% 8.02/5.55 inference(rewrite,[status(thm)],[])).
% 8.02/5.55 tff(4283,plain,
% 8.02/5.55 ((~![B: $i] : ((~less_3(B)) | (v84(constB121, B) <=> v84(constB120, B)))) | ((~less_3(bitIndex2)) | (v84(constB121, bitIndex2) <=> v84(constB120, bitIndex2)))),
% 8.02/5.55 inference(quant_inst,[status(thm)],[])).
% 8.02/5.55 tff(4284,plain,
% 8.02/5.55 ((~![B: $i] : ((~less_3(B)) | (v84(constB121, B) <=> v84(constB120, B)))) | (~less_3(bitIndex2)) | (v84(constB121, bitIndex2) <=> v84(constB120, bitIndex2))),
% 8.02/5.55 inference(modus_ponens,[status(thm)],[4283, 4282])).
% 8.02/5.55 tff(4285,plain,
% 8.02/5.55 (v84(constB121, bitIndex2) <=> v84(constB120, bitIndex2)),
% 8.02/5.55 inference(unit_resolution,[status(thm)],[4284, 832, 4281])).
% 8.02/5.55 tff(4286,plain,
% 8.02/5.55 (nextState(constB119, constB120) <=> nextState(constB119, constB120)),
% 8.02/5.55 inference(rewrite,[status(thm)],[])).
% 8.02/5.55 tff(4287,axiom,(nextState(constB119, constB120)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_119')).
% 8.02/5.55 tff(4288,plain,
% 8.02/5.55 (nextState(constB119, constB120)),
% 8.02/5.55 inference(modus_ponens,[status(thm)],[4287, 4286])).
% 8.02/5.55 tff(4289,plain,
% 8.02/5.55 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB119, constB120)) | (v94(constB120) <=> (~((~v104(constB120)) | (~v95(constB120))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB119, constB120)) | (v94(constB120) <=> (~((~v104(constB120)) | (~v95(constB120))))))),
% 8.02/5.55 inference(rewrite,[status(thm)],[])).
% 8.02/5.55 tff(4290,plain,
% 8.02/5.55 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB119, constB120)) | (v94(constB120) <=> (~((~v104(constB120)) | (~v95(constB120))))))),
% 8.02/5.55 inference(quant_inst,[status(thm)],[])).
% 8.02/5.55 tff(4291,plain,
% 8.02/5.55 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB119, constB120)) | (v94(constB120) <=> (~((~v104(constB120)) | (~v95(constB120)))))),
% 8.02/5.55 inference(modus_ponens,[status(thm)],[4290, 4289])).
% 8.02/5.55 tff(4292,plain,
% 8.02/5.55 (v94(constB120) <=> (~((~v104(constB120)) | (~v95(constB120))))),
% 8.02/5.55 inference(unit_resolution,[status(thm)],[4291, 4288, 775])).
% 8.02/5.55 tff(4293,plain,
% 8.02/5.55 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB119, constB120)) | (v95(constB120) <=> (~((~v1(constB120)) | (~v96(constB120))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB119, constB120)) | (v95(constB120) <=> (~((~v1(constB120)) | (~v96(constB120))))))),
% 8.02/5.55 inference(rewrite,[status(thm)],[])).
% 8.02/5.55 tff(4294,plain,
% 8.02/5.55 (((~nextState(constB119, constB120)) | (v95(constB120) <=> (~((~v96(constB120)) | (~v1(constB120)))))) <=> ((~nextState(constB119, constB120)) | (v95(constB120) <=> (~((~v1(constB120)) | (~v96(constB120))))))),
% 8.02/5.55 inference(rewrite,[status(thm)],[])).
% 8.02/5.55 tff(4295,plain,
% 8.02/5.55 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB119, constB120)) | (v95(constB120) <=> (~((~v96(constB120)) | (~v1(constB120))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB119, constB120)) | (v95(constB120) <=> (~((~v1(constB120)) | (~v96(constB120)))))))),
% 8.02/5.55 inference(monotonicity,[status(thm)],[4294])).
% 8.02/5.55 tff(4296,plain,
% 8.02/5.55 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB119, constB120)) | (v95(constB120) <=> (~((~v96(constB120)) | (~v1(constB120))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB119, constB120)) | (v95(constB120) <=> (~((~v1(constB120)) | (~v96(constB120))))))),
% 8.02/5.55 inference(transitivity,[status(thm)],[4295, 4293])).
% 8.02/5.55 tff(4297,plain,
% 8.02/5.55 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB119, constB120)) | (v95(constB120) <=> (~((~v96(constB120)) | (~v1(constB120))))))),
% 8.02/5.55 inference(quant_inst,[status(thm)],[])).
% 8.02/5.55 tff(4298,plain,
% 8.02/5.55 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB119, constB120)) | (v95(constB120) <=> (~((~v1(constB120)) | (~v96(constB120)))))),
% 8.02/5.55 inference(modus_ponens,[status(thm)],[4297, 4296])).
% 8.02/5.55 tff(4299,plain,
% 8.02/5.55 (v95(constB120) <=> (~((~v1(constB120)) | (~v96(constB120))))),
% 8.02/5.55 inference(unit_resolution,[status(thm)],[4298, 4288, 795])).
% 8.02/5.55 tff(4300,plain,
% 8.02/5.55 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB119, constB120)) | ((~v96(constB120)) <=> v98(constB120)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB119, constB120)) | ((~v96(constB120)) <=> v98(constB120)))),
% 8.02/5.55 inference(rewrite,[status(thm)],[])).
% 8.02/5.55 tff(4301,plain,
% 8.02/5.55 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB119, constB120)) | ((~v96(constB120)) <=> v98(constB120)))),
% 8.02/5.55 inference(quant_inst,[status(thm)],[])).
% 8.02/5.55 tff(4302,plain,
% 8.02/5.55 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB119, constB120)) | ((~v96(constB120)) <=> v98(constB120))),
% 8.02/5.55 inference(modus_ponens,[status(thm)],[4301, 4300])).
% 8.02/5.55 tff(4303,plain,
% 8.02/5.55 ((~v96(constB120)) <=> v98(constB120)),
% 8.02/5.55 inference(unit_resolution,[status(thm)],[4302, 4288, 860])).
% 8.02/5.55 tff(4304,plain,
% 8.02/5.55 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB119, constB120)) | (v98(constB120) <=> v1(constB119)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB119, constB120)) | (v98(constB120) <=> v1(constB119)))),
% 8.02/5.55 inference(rewrite,[status(thm)],[])).
% 8.02/5.55 tff(4305,plain,
% 8.02/5.55 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB119, constB120)) | (v98(constB120) <=> v1(constB119)))),
% 8.02/5.55 inference(quant_inst,[status(thm)],[])).
% 8.02/5.55 tff(4306,plain,
% 8.02/5.55 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB119, constB120)) | (v98(constB120) <=> v1(constB119))),
% 8.02/5.55 inference(modus_ponens,[status(thm)],[4305, 4304])).
% 8.02/5.55 tff(4307,plain,
% 8.02/5.55 (v98(constB120) <=> v1(constB119)),
% 8.02/5.55 inference(unit_resolution,[status(thm)],[4306, 4288, 874])).
% 8.02/5.55 tff(4308,plain,
% 8.02/5.55 ((~v1(constB119)) <=> (~v1(constB119))),
% 8.02/5.55 inference(rewrite,[status(thm)],[])).
% 8.02/5.55 tff(4309,axiom,(~v1(constB119)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_119')).
% 8.02/5.55 tff(4310,plain,
% 8.02/5.55 (~v1(constB119)),
% 8.02/5.55 inference(modus_ponens,[status(thm)],[4309, 4308])).
% 8.02/5.55 tff(4311,plain,
% 8.02/5.55 ((~(v98(constB120) <=> v1(constB119))) | (~v98(constB120)) | v1(constB119)),
% 8.02/5.55 inference(tautology,[status(thm)],[])).
% 8.02/5.55 tff(4312,plain,
% 8.02/5.55 ((~(v98(constB120) <=> v1(constB119))) | (~v98(constB120))),
% 8.02/5.55 inference(unit_resolution,[status(thm)],[4311, 4310])).
% 8.02/5.55 tff(4313,plain,
% 8.02/5.55 (~v98(constB120)),
% 8.02/5.55 inference(unit_resolution,[status(thm)],[4312, 4307])).
% 8.02/5.55 tff(4314,plain,
% 8.02/5.55 ((~((~v96(constB120)) <=> v98(constB120))) | v96(constB120) | v98(constB120)),
% 8.02/5.55 inference(tautology,[status(thm)],[])).
% 8.02/5.55 tff(4315,plain,
% 8.02/5.55 (v96(constB120)),
% 8.02/5.55 inference(unit_resolution,[status(thm)],[4314, 4313, 4303])).
% 8.02/5.55 tff(4316,plain,
% 8.02/5.55 (v1(constB120) <=> v1(constB120)),
% 8.02/5.55 inference(rewrite,[status(thm)],[])).
% 8.02/5.55 tff(4317,axiom,(v1(constB120)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_120')).
% 8.02/5.55 tff(4318,plain,
% 8.02/5.55 (v1(constB120)),
% 8.02/5.55 inference(modus_ponens,[status(thm)],[4317, 4316])).
% 8.02/5.55 tff(4319,plain,
% 8.02/5.55 ((~((~v1(constB120)) | (~v96(constB120)))) | (~v1(constB120)) | (~v96(constB120))),
% 8.02/5.55 inference(tautology,[status(thm)],[])).
% 8.02/5.55 tff(4320,plain,
% 8.02/5.55 ((~((~v1(constB120)) | (~v96(constB120)))) | (~v96(constB120))),
% 8.02/5.55 inference(unit_resolution,[status(thm)],[4319, 4318])).
% 8.02/5.55 tff(4321,plain,
% 8.02/5.55 (~((~v1(constB120)) | (~v96(constB120)))),
% 8.02/5.55 inference(unit_resolution,[status(thm)],[4320, 4315])).
% 8.02/5.55 tff(4322,plain,
% 8.02/5.55 ((~(v95(constB120) <=> (~((~v1(constB120)) | (~v96(constB120)))))) | v95(constB120) | ((~v1(constB120)) | (~v96(constB120)))),
% 8.02/5.55 inference(tautology,[status(thm)],[])).
% 8.02/5.55 tff(4323,plain,
% 8.02/5.55 (v95(constB120)),
% 8.02/5.55 inference(unit_resolution,[status(thm)],[4322, 4321, 4299])).
% 8.02/5.55 tff(4324,plain,
% 8.02/5.55 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB119, constB120)) | (v104(constB120) <=> v102(constB119)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB119, constB120)) | (v104(constB120) <=> v102(constB119)))),
% 8.02/5.55 inference(rewrite,[status(thm)],[])).
% 8.02/5.55 tff(4325,plain,
% 8.02/5.55 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB119, constB120)) | (v104(constB120) <=> v102(constB119)))),
% 8.02/5.55 inference(quant_inst,[status(thm)],[])).
% 8.02/5.55 tff(4326,plain,
% 8.02/5.55 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB119, constB120)) | (v104(constB120) <=> v102(constB119))),
% 8.02/5.55 inference(modus_ponens,[status(thm)],[4325, 4324])).
% 8.02/5.55 tff(4327,plain,
% 8.02/5.55 (v104(constB120) <=> v102(constB119)),
% 8.02/5.55 inference(unit_resolution,[status(thm)],[4326, 4288, 904])).
% 8.02/5.55 tff(4328,plain,
% 8.02/5.55 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB119) <=> (v105(constB119) | v106(constB119)))),
% 8.02/5.55 inference(quant_inst,[status(thm)],[])).
% 8.02/5.55 tff(4329,plain,
% 8.02/5.55 (v102(constB119) <=> (v105(constB119) | v106(constB119))),
% 8.02/5.55 inference(unit_resolution,[status(thm)],[4328, 915])).
% 8.02/5.55 tff(4330,plain,
% 8.02/5.55 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB119) <=> (~((~v107(constB119)) | (~v120(constB119)))))),
% 8.02/5.55 inference(quant_inst,[status(thm)],[])).
% 8.02/5.55 tff(4331,plain,
% 8.02/5.55 (v106(constB119) <=> (~((~v107(constB119)) | (~v120(constB119))))),
% 8.02/5.55 inference(unit_resolution,[status(thm)],[4330, 927])).
% 8.02/5.55 tff(4332,plain,
% 8.02/5.55 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB119) <=> (v108(constB119) | v119(constB119)))),
% 8.02/5.55 inference(quant_inst,[status(thm)],[])).
% 8.02/5.55 tff(4333,plain,
% 8.02/5.55 (v107(constB119) <=> (v108(constB119) | v119(constB119))),
% 8.02/5.55 inference(unit_resolution,[status(thm)],[4332, 936])).
% 8.02/5.55 tff(4334,plain,
% 8.02/5.55 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB119) <=> (v109(constB119) | v118(constB119)))),
% 8.02/5.55 inference(quant_inst,[status(thm)],[])).
% 8.02/5.55 tff(4335,plain,
% 8.02/5.55 (v108(constB119) <=> (v109(constB119) | v118(constB119))),
% 8.02/5.55 inference(unit_resolution,[status(thm)],[4334, 945])).
% 8.02/5.55 tff(4336,plain,
% 8.02/5.55 (((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB119) <=> (~((~v84(constB119, bitIndex2)) | v84(constB119, bitIndex1) | (~v84(constB119, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB119) <=> (~((~v84(constB119, bitIndex2)) | v84(constB119, bitIndex1) | (~v84(constB119, bitIndex0))))))),
% 8.02/5.55 inference(rewrite,[status(thm)],[])).
% 8.02/5.55 tff(4337,plain,
% 8.02/5.55 ((v118(constB119) <=> (~(v84(constB119, bitIndex1) | (~v84(constB119, bitIndex0)) | (~v84(constB119, bitIndex2))))) <=> (v118(constB119) <=> (~((~v84(constB119, bitIndex2)) | v84(constB119, bitIndex1) | (~v84(constB119, bitIndex0)))))),
% 8.02/5.55 inference(rewrite,[status(thm)],[])).
% 8.02/5.55 tff(4338,plain,
% 8.02/5.55 (((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB119) <=> (~(v84(constB119, bitIndex1) | (~v84(constB119, bitIndex0)) | (~v84(constB119, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB119) <=> (~((~v84(constB119, bitIndex2)) | v84(constB119, bitIndex1) | (~v84(constB119, bitIndex0))))))),
% 8.02/5.55 inference(monotonicity,[status(thm)],[4337])).
% 8.02/5.55 tff(4339,plain,
% 8.02/5.55 (((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB119) <=> (~(v84(constB119, bitIndex1) | (~v84(constB119, bitIndex0)) | (~v84(constB119, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB119) <=> (~((~v84(constB119, bitIndex2)) | v84(constB119, bitIndex1) | (~v84(constB119, bitIndex0))))))),
% 8.02/5.55 inference(transitivity,[status(thm)],[4338, 4336])).
% 8.02/5.55 tff(4340,plain,
% 8.02/5.55 ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB119) <=> (~(v84(constB119, bitIndex1) | (~v84(constB119, bitIndex0)) | (~v84(constB119, bitIndex2)))))),
% 8.02/5.55 inference(quant_inst,[status(thm)],[])).
% 8.02/5.55 tff(4341,plain,
% 8.02/5.55 ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB119) <=> (~((~v84(constB119, bitIndex2)) | v84(constB119, bitIndex1) | (~v84(constB119, bitIndex0)))))),
% 8.02/5.55 inference(modus_ponens,[status(thm)],[4340, 4339])).
% 8.02/5.55 tff(4342,plain,
% 8.02/5.55 (v118(constB119) <=> (~((~v84(constB119, bitIndex2)) | v84(constB119, bitIndex1) | (~v84(constB119, bitIndex0))))),
% 8.02/5.55 inference(unit_resolution,[status(thm)],[4341, 960])).
% 8.02/5.55 tff(4343,plain,
% 8.02/5.55 (nextState(constB118, constB119) <=> nextState(constB118, constB119)),
% 8.02/5.55 inference(rewrite,[status(thm)],[])).
% 8.02/5.55 tff(4344,axiom,(nextState(constB118, constB119)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_118')).
% 8.02/5.55 tff(4345,plain,
% 8.02/5.55 (nextState(constB118, constB119)),
% 8.02/5.55 inference(modus_ponens,[status(thm)],[4344, 4343])).
% 8.02/5.55 tff(4346,plain,
% 8.02/5.55 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB118, constB119)) | (v94(constB119) <=> (~((~v104(constB119)) | (~v95(constB119))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB118, constB119)) | (v94(constB119) <=> (~((~v104(constB119)) | (~v95(constB119))))))),
% 8.02/5.55 inference(rewrite,[status(thm)],[])).
% 8.02/5.55 tff(4347,plain,
% 8.02/5.55 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB118, constB119)) | (v94(constB119) <=> (~((~v104(constB119)) | (~v95(constB119))))))),
% 8.02/5.55 inference(quant_inst,[status(thm)],[])).
% 8.02/5.55 tff(4348,plain,
% 8.02/5.55 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB118, constB119)) | (v94(constB119) <=> (~((~v104(constB119)) | (~v95(constB119)))))),
% 8.02/5.55 inference(modus_ponens,[status(thm)],[4347, 4346])).
% 8.02/5.55 tff(4349,plain,
% 8.02/5.55 (v94(constB119) <=> (~((~v104(constB119)) | (~v95(constB119))))),
% 8.02/5.55 inference(unit_resolution,[status(thm)],[4348, 4345, 775])).
% 8.02/5.55 tff(4350,plain,
% 8.02/5.55 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB118, constB119)) | (v95(constB119) <=> (~((~v1(constB119)) | (~v96(constB119))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB118, constB119)) | (v95(constB119) <=> (~((~v1(constB119)) | (~v96(constB119))))))),
% 8.02/5.55 inference(rewrite,[status(thm)],[])).
% 8.02/5.55 tff(4351,plain,
% 8.02/5.55 (((~nextState(constB118, constB119)) | (v95(constB119) <=> (~((~v96(constB119)) | (~v1(constB119)))))) <=> ((~nextState(constB118, constB119)) | (v95(constB119) <=> (~((~v1(constB119)) | (~v96(constB119))))))),
% 8.02/5.55 inference(rewrite,[status(thm)],[])).
% 8.02/5.55 tff(4352,plain,
% 8.02/5.55 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB118, constB119)) | (v95(constB119) <=> (~((~v96(constB119)) | (~v1(constB119))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB118, constB119)) | (v95(constB119) <=> (~((~v1(constB119)) | (~v96(constB119)))))))),
% 8.02/5.55 inference(monotonicity,[status(thm)],[4351])).
% 8.02/5.55 tff(4353,plain,
% 8.02/5.55 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB118, constB119)) | (v95(constB119) <=> (~((~v96(constB119)) | (~v1(constB119))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB118, constB119)) | (v95(constB119) <=> (~((~v1(constB119)) | (~v96(constB119))))))),
% 8.02/5.55 inference(transitivity,[status(thm)],[4352, 4350])).
% 8.02/5.55 tff(4354,plain,
% 8.02/5.55 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB118, constB119)) | (v95(constB119) <=> (~((~v96(constB119)) | (~v1(constB119))))))),
% 8.02/5.55 inference(quant_inst,[status(thm)],[])).
% 8.02/5.55 tff(4355,plain,
% 8.02/5.55 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB118, constB119)) | (v95(constB119) <=> (~((~v1(constB119)) | (~v96(constB119)))))),
% 8.02/5.55 inference(modus_ponens,[status(thm)],[4354, 4353])).
% 8.02/5.55 tff(4356,plain,
% 8.02/5.55 (v95(constB119) <=> (~((~v1(constB119)) | (~v96(constB119))))),
% 8.02/5.55 inference(unit_resolution,[status(thm)],[4355, 4345, 795])).
% 8.02/5.55 tff(4357,plain,
% 8.02/5.55 (((~v1(constB119)) | (~v96(constB119))) | v1(constB119)),
% 8.02/5.55 inference(tautology,[status(thm)],[])).
% 8.02/5.55 tff(4358,plain,
% 8.02/5.56 ((~v1(constB119)) | (~v96(constB119))),
% 8.02/5.56 inference(unit_resolution,[status(thm)],[4357, 4310])).
% 8.02/5.56 tff(4359,plain,
% 8.02/5.56 ((~(v95(constB119) <=> (~((~v1(constB119)) | (~v96(constB119)))))) | (~v95(constB119)) | (~((~v1(constB119)) | (~v96(constB119))))),
% 8.02/5.56 inference(tautology,[status(thm)],[])).
% 8.02/5.56 tff(4360,plain,
% 8.02/5.56 ((~(v95(constB119) <=> (~((~v1(constB119)) | (~v96(constB119)))))) | (~v95(constB119))),
% 8.02/5.56 inference(unit_resolution,[status(thm)],[4359, 4358])).
% 8.02/5.56 tff(4361,plain,
% 8.02/5.56 (~v95(constB119)),
% 8.02/5.56 inference(unit_resolution,[status(thm)],[4360, 4356])).
% 8.02/5.56 tff(4362,plain,
% 8.02/5.56 (((~v104(constB119)) | (~v95(constB119))) | v95(constB119)),
% 8.02/5.56 inference(tautology,[status(thm)],[])).
% 8.02/5.56 tff(4363,plain,
% 8.02/5.56 ((~v104(constB119)) | (~v95(constB119))),
% 8.02/5.56 inference(unit_resolution,[status(thm)],[4362, 4361])).
% 8.02/5.56 tff(4364,plain,
% 8.02/5.56 ((~(v94(constB119) <=> (~((~v104(constB119)) | (~v95(constB119)))))) | (~v94(constB119)) | (~((~v104(constB119)) | (~v95(constB119))))),
% 8.02/5.56 inference(tautology,[status(thm)],[])).
% 8.02/5.56 tff(4365,plain,
% 8.02/5.56 (~v94(constB119)),
% 8.02/5.56 inference(unit_resolution,[status(thm)],[4364, 4363, 4349])).
% 8.02/5.56 tff(4366,plain,
% 8.02/5.56 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB119) | (~nextState(constB118, constB119)) | ![B: $i] : ((~less_3(B)) | (v84(constB119, B) <=> v84(constB118, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB119) | (~nextState(constB118, constB119)) | ![B: $i] : ((~less_3(B)) | (v84(constB119, B) <=> v84(constB118, B))))),
% 8.02/5.56 inference(rewrite,[status(thm)],[])).
% 8.02/5.56 tff(4367,plain,
% 8.02/5.56 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB119) | (~nextState(constB118, constB119)) | ![B: $i] : ((~less_3(B)) | (v84(constB119, B) <=> v84(constB118, B))))),
% 8.02/5.56 inference(quant_inst,[status(thm)],[])).
% 8.02/5.56 tff(4368,plain,
% 8.02/5.56 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB119) | (~nextState(constB118, constB119)) | ![B: $i] : ((~less_3(B)) | (v84(constB119, B) <=> v84(constB118, B)))),
% 8.02/5.56 inference(modus_ponens,[status(thm)],[4367, 4366])).
% 8.02/5.56 tff(4369,plain,
% 8.02/5.56 (v94(constB119) | ![B: $i] : ((~less_3(B)) | (v84(constB119, B) <=> v84(constB118, B)))),
% 8.02/5.56 inference(unit_resolution,[status(thm)],[4368, 4345, 824])).
% 8.02/5.56 tff(4370,plain,
% 8.02/5.56 (![B: $i] : ((~less_3(B)) | (v84(constB119, B) <=> v84(constB118, B)))),
% 8.02/5.56 inference(unit_resolution,[status(thm)],[4369, 4365])).
% 8.02/5.56 tff(4371,plain,
% 8.02/5.56 (((~![B: $i] : ((~less_3(B)) | (v84(constB119, B) <=> v84(constB118, B)))) | ((~less_3(bitIndex2)) | (v84(constB119, bitIndex2) <=> v84(constB118, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB119, B) <=> v84(constB118, B)))) | (~less_3(bitIndex2)) | (v84(constB119, bitIndex2) <=> v84(constB118, bitIndex2)))),
% 8.02/5.56 inference(rewrite,[status(thm)],[])).
% 8.02/5.56 tff(4372,plain,
% 8.02/5.56 ((~![B: $i] : ((~less_3(B)) | (v84(constB119, B) <=> v84(constB118, B)))) | ((~less_3(bitIndex2)) | (v84(constB119, bitIndex2) <=> v84(constB118, bitIndex2)))),
% 8.02/5.56 inference(quant_inst,[status(thm)],[])).
% 8.02/5.56 tff(4373,plain,
% 8.02/5.56 ((~![B: $i] : ((~less_3(B)) | (v84(constB119, B) <=> v84(constB118, B)))) | (~less_3(bitIndex2)) | (v84(constB119, bitIndex2) <=> v84(constB118, bitIndex2))),
% 8.02/5.56 inference(modus_ponens,[status(thm)],[4372, 4371])).
% 8.02/5.56 tff(4374,plain,
% 8.02/5.56 (v84(constB119, bitIndex2) <=> v84(constB118, bitIndex2)),
% 8.02/5.56 inference(unit_resolution,[status(thm)],[4373, 832, 4370])).
% 8.02/5.56 tff(4375,plain,
% 8.02/5.56 (nextState(constB117, constB118) <=> nextState(constB117, constB118)),
% 8.02/5.56 inference(rewrite,[status(thm)],[])).
% 8.02/5.56 tff(4376,axiom,(nextState(constB117, constB118)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_117')).
% 8.02/5.56 tff(4377,plain,
% 8.02/5.56 (nextState(constB117, constB118)),
% 8.02/5.56 inference(modus_ponens,[status(thm)],[4376, 4375])).
% 8.02/5.56 tff(4378,plain,
% 8.02/5.56 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB117, constB118)) | (v94(constB118) <=> (~((~v104(constB118)) | (~v95(constB118))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB117, constB118)) | (v94(constB118) <=> (~((~v104(constB118)) | (~v95(constB118))))))),
% 8.02/5.56 inference(rewrite,[status(thm)],[])).
% 8.02/5.56 tff(4379,plain,
% 8.02/5.56 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB117, constB118)) | (v94(constB118) <=> (~((~v104(constB118)) | (~v95(constB118))))))),
% 8.02/5.56 inference(quant_inst,[status(thm)],[])).
% 8.02/5.56 tff(4380,plain,
% 8.02/5.56 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB117, constB118)) | (v94(constB118) <=> (~((~v104(constB118)) | (~v95(constB118)))))),
% 8.02/5.56 inference(modus_ponens,[status(thm)],[4379, 4378])).
% 8.02/5.56 tff(4381,plain,
% 8.02/5.56 (v94(constB118) <=> (~((~v104(constB118)) | (~v95(constB118))))),
% 8.02/5.56 inference(unit_resolution,[status(thm)],[4380, 4377, 775])).
% 8.02/5.56 tff(4382,plain,
% 8.02/5.56 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB117, constB118)) | (v95(constB118) <=> (~((~v1(constB118)) | (~v96(constB118))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB117, constB118)) | (v95(constB118) <=> (~((~v1(constB118)) | (~v96(constB118))))))),
% 8.02/5.56 inference(rewrite,[status(thm)],[])).
% 8.02/5.56 tff(4383,plain,
% 8.02/5.56 (((~nextState(constB117, constB118)) | (v95(constB118) <=> (~((~v96(constB118)) | (~v1(constB118)))))) <=> ((~nextState(constB117, constB118)) | (v95(constB118) <=> (~((~v1(constB118)) | (~v96(constB118))))))),
% 8.02/5.56 inference(rewrite,[status(thm)],[])).
% 8.02/5.56 tff(4384,plain,
% 8.02/5.56 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB117, constB118)) | (v95(constB118) <=> (~((~v96(constB118)) | (~v1(constB118))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB117, constB118)) | (v95(constB118) <=> (~((~v1(constB118)) | (~v96(constB118)))))))),
% 8.02/5.56 inference(monotonicity,[status(thm)],[4383])).
% 8.02/5.56 tff(4385,plain,
% 8.02/5.56 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB117, constB118)) | (v95(constB118) <=> (~((~v96(constB118)) | (~v1(constB118))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB117, constB118)) | (v95(constB118) <=> (~((~v1(constB118)) | (~v96(constB118))))))),
% 8.02/5.56 inference(transitivity,[status(thm)],[4384, 4382])).
% 8.02/5.56 tff(4386,plain,
% 8.02/5.56 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB117, constB118)) | (v95(constB118) <=> (~((~v96(constB118)) | (~v1(constB118))))))),
% 8.02/5.56 inference(quant_inst,[status(thm)],[])).
% 8.02/5.56 tff(4387,plain,
% 8.02/5.56 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB117, constB118)) | (v95(constB118) <=> (~((~v1(constB118)) | (~v96(constB118)))))),
% 8.02/5.56 inference(modus_ponens,[status(thm)],[4386, 4385])).
% 8.02/5.56 tff(4388,plain,
% 8.02/5.56 (v95(constB118) <=> (~((~v1(constB118)) | (~v96(constB118))))),
% 8.02/5.56 inference(unit_resolution,[status(thm)],[4387, 4377, 795])).
% 8.02/5.56 tff(4389,plain,
% 8.02/5.56 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB117, constB118)) | ((~v96(constB118)) <=> v98(constB118)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB117, constB118)) | ((~v96(constB118)) <=> v98(constB118)))),
% 8.02/5.56 inference(rewrite,[status(thm)],[])).
% 8.02/5.56 tff(4390,plain,
% 8.02/5.56 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB117, constB118)) | ((~v96(constB118)) <=> v98(constB118)))),
% 8.02/5.56 inference(quant_inst,[status(thm)],[])).
% 8.02/5.56 tff(4391,plain,
% 8.02/5.56 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB117, constB118)) | ((~v96(constB118)) <=> v98(constB118))),
% 8.02/5.56 inference(modus_ponens,[status(thm)],[4390, 4389])).
% 8.02/5.56 tff(4392,plain,
% 8.02/5.56 ((~v96(constB118)) <=> v98(constB118)),
% 8.02/5.56 inference(unit_resolution,[status(thm)],[4391, 4377, 860])).
% 8.02/5.56 tff(4393,plain,
% 8.02/5.56 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB117, constB118)) | (v98(constB118) <=> v1(constB117)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB117, constB118)) | (v98(constB118) <=> v1(constB117)))),
% 8.02/5.56 inference(rewrite,[status(thm)],[])).
% 8.02/5.56 tff(4394,plain,
% 8.02/5.56 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB117, constB118)) | (v98(constB118) <=> v1(constB117)))),
% 8.02/5.56 inference(quant_inst,[status(thm)],[])).
% 8.02/5.56 tff(4395,plain,
% 8.02/5.56 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB117, constB118)) | (v98(constB118) <=> v1(constB117))),
% 8.02/5.56 inference(modus_ponens,[status(thm)],[4394, 4393])).
% 8.02/5.56 tff(4396,plain,
% 8.02/5.56 (v98(constB118) <=> v1(constB117)),
% 8.02/5.56 inference(unit_resolution,[status(thm)],[4395, 4377, 874])).
% 8.02/5.56 tff(4397,plain,
% 8.02/5.56 ((~v1(constB117)) <=> (~v1(constB117))),
% 8.02/5.56 inference(rewrite,[status(thm)],[])).
% 8.02/5.56 tff(4398,axiom,(~v1(constB117)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_117')).
% 8.02/5.56 tff(4399,plain,
% 8.02/5.56 (~v1(constB117)),
% 8.02/5.56 inference(modus_ponens,[status(thm)],[4398, 4397])).
% 8.02/5.56 tff(4400,plain,
% 8.02/5.56 ((~(v98(constB118) <=> v1(constB117))) | (~v98(constB118)) | v1(constB117)),
% 8.02/5.56 inference(tautology,[status(thm)],[])).
% 8.02/5.56 tff(4401,plain,
% 8.02/5.56 ((~(v98(constB118) <=> v1(constB117))) | (~v98(constB118))),
% 8.02/5.56 inference(unit_resolution,[status(thm)],[4400, 4399])).
% 8.02/5.56 tff(4402,plain,
% 8.02/5.56 (~v98(constB118)),
% 8.02/5.56 inference(unit_resolution,[status(thm)],[4401, 4396])).
% 8.02/5.56 tff(4403,plain,
% 8.02/5.56 ((~((~v96(constB118)) <=> v98(constB118))) | v96(constB118) | v98(constB118)),
% 8.02/5.56 inference(tautology,[status(thm)],[])).
% 8.02/5.56 tff(4404,plain,
% 8.02/5.56 (v96(constB118)),
% 8.02/5.56 inference(unit_resolution,[status(thm)],[4403, 4402, 4392])).
% 8.02/5.56 tff(4405,plain,
% 8.02/5.56 (v1(constB118) <=> v1(constB118)),
% 8.02/5.56 inference(rewrite,[status(thm)],[])).
% 8.02/5.56 tff(4406,axiom,(v1(constB118)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_118')).
% 8.02/5.56 tff(4407,plain,
% 8.02/5.56 (v1(constB118)),
% 8.02/5.56 inference(modus_ponens,[status(thm)],[4406, 4405])).
% 8.02/5.56 tff(4408,plain,
% 8.02/5.56 ((~((~v1(constB118)) | (~v96(constB118)))) | (~v1(constB118)) | (~v96(constB118))),
% 8.02/5.56 inference(tautology,[status(thm)],[])).
% 8.02/5.56 tff(4409,plain,
% 8.02/5.56 ((~((~v1(constB118)) | (~v96(constB118)))) | (~v96(constB118))),
% 8.02/5.56 inference(unit_resolution,[status(thm)],[4408, 4407])).
% 8.02/5.56 tff(4410,plain,
% 8.02/5.56 (~((~v1(constB118)) | (~v96(constB118)))),
% 8.02/5.56 inference(unit_resolution,[status(thm)],[4409, 4404])).
% 8.02/5.56 tff(4411,plain,
% 8.02/5.56 ((~(v95(constB118) <=> (~((~v1(constB118)) | (~v96(constB118)))))) | v95(constB118) | ((~v1(constB118)) | (~v96(constB118)))),
% 8.02/5.56 inference(tautology,[status(thm)],[])).
% 8.02/5.56 tff(4412,plain,
% 8.02/5.56 (v95(constB118)),
% 8.02/5.56 inference(unit_resolution,[status(thm)],[4411, 4410, 4388])).
% 8.02/5.56 tff(4413,plain,
% 8.02/5.56 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB117, constB118)) | (v104(constB118) <=> v102(constB117)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB117, constB118)) | (v104(constB118) <=> v102(constB117)))),
% 8.02/5.56 inference(rewrite,[status(thm)],[])).
% 8.02/5.56 tff(4414,plain,
% 8.02/5.56 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB117, constB118)) | (v104(constB118) <=> v102(constB117)))),
% 8.02/5.56 inference(quant_inst,[status(thm)],[])).
% 8.02/5.56 tff(4415,plain,
% 8.02/5.56 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB117, constB118)) | (v104(constB118) <=> v102(constB117))),
% 8.02/5.56 inference(modus_ponens,[status(thm)],[4414, 4413])).
% 8.02/5.56 tff(4416,plain,
% 8.02/5.56 (v104(constB118) <=> v102(constB117)),
% 8.02/5.56 inference(unit_resolution,[status(thm)],[4415, 4377, 904])).
% 8.02/5.56 tff(4417,plain,
% 8.02/5.56 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB117) <=> (v105(constB117) | v106(constB117)))),
% 8.02/5.56 inference(quant_inst,[status(thm)],[])).
% 8.02/5.56 tff(4418,plain,
% 8.02/5.56 (v102(constB117) <=> (v105(constB117) | v106(constB117))),
% 8.02/5.56 inference(unit_resolution,[status(thm)],[4417, 915])).
% 8.02/5.56 tff(4419,plain,
% 8.02/5.56 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB117) <=> (~((~v107(constB117)) | (~v120(constB117)))))),
% 8.02/5.56 inference(quant_inst,[status(thm)],[])).
% 8.02/5.56 tff(4420,plain,
% 8.02/5.56 (v106(constB117) <=> (~((~v107(constB117)) | (~v120(constB117))))),
% 8.02/5.56 inference(unit_resolution,[status(thm)],[4419, 927])).
% 8.02/5.56 tff(4421,plain,
% 8.02/5.56 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB117) <=> (v108(constB117) | v119(constB117)))),
% 8.02/5.56 inference(quant_inst,[status(thm)],[])).
% 8.02/5.56 tff(4422,plain,
% 8.02/5.56 (v107(constB117) <=> (v108(constB117) | v119(constB117))),
% 8.02/5.56 inference(unit_resolution,[status(thm)],[4421, 936])).
% 8.02/5.56 tff(4423,plain,
% 8.02/5.56 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB117) <=> (v109(constB117) | v118(constB117)))),
% 8.02/5.56 inference(quant_inst,[status(thm)],[])).
% 8.02/5.56 tff(4424,plain,
% 8.02/5.56 (v108(constB117) <=> (v109(constB117) | v118(constB117))),
% 8.02/5.56 inference(unit_resolution,[status(thm)],[4423, 945])).
% 8.02/5.56 tff(4425,plain,
% 8.02/5.56 ((~![VarCurr: $i] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB117) <=> (v110(constB117) | v117(constB117)))),
% 8.02/5.56 inference(quant_inst,[status(thm)],[])).
% 8.02/5.56 tff(4426,plain,
% 8.02/5.56 (v109(constB117) <=> (v110(constB117) | v117(constB117))),
% 8.02/5.56 inference(unit_resolution,[status(thm)],[4425, 1056])).
% 8.02/5.56 tff(4427,plain,
% 8.02/5.56 (((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB117) <=> (~((~v84(constB117, bitIndex2)) | v84(constB117, bitIndex1) | v84(constB117, bitIndex0))))) <=> ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB117) <=> (~((~v84(constB117, bitIndex2)) | v84(constB117, bitIndex1) | v84(constB117, bitIndex0)))))),
% 8.02/5.56 inference(rewrite,[status(thm)],[])).
% 8.02/5.56 tff(4428,plain,
% 8.02/5.56 ((v117(constB117) <=> (~(v84(constB117, bitIndex0) | v84(constB117, bitIndex1) | (~v84(constB117, bitIndex2))))) <=> (v117(constB117) <=> (~((~v84(constB117, bitIndex2)) | v84(constB117, bitIndex1) | v84(constB117, bitIndex0))))),
% 8.02/5.56 inference(rewrite,[status(thm)],[])).
% 8.02/5.56 tff(4429,plain,
% 8.02/5.56 (((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB117) <=> (~(v84(constB117, bitIndex0) | v84(constB117, bitIndex1) | (~v84(constB117, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB117) <=> (~((~v84(constB117, bitIndex2)) | v84(constB117, bitIndex1) | v84(constB117, bitIndex0)))))),
% 8.02/5.56 inference(monotonicity,[status(thm)],[4428])).
% 8.02/5.56 tff(4430,plain,
% 8.02/5.56 (((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB117) <=> (~(v84(constB117, bitIndex0) | v84(constB117, bitIndex1) | (~v84(constB117, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB117) <=> (~((~v84(constB117, bitIndex2)) | v84(constB117, bitIndex1) | v84(constB117, bitIndex0)))))),
% 8.02/5.56 inference(transitivity,[status(thm)],[4429, 4427])).
% 8.02/5.56 tff(4431,plain,
% 8.02/5.56 ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB117) <=> (~(v84(constB117, bitIndex0) | v84(constB117, bitIndex1) | (~v84(constB117, bitIndex2)))))),
% 8.02/5.56 inference(quant_inst,[status(thm)],[])).
% 8.02/5.56 tff(4432,plain,
% 8.02/5.56 ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB117) <=> (~((~v84(constB117, bitIndex2)) | v84(constB117, bitIndex1) | v84(constB117, bitIndex0))))),
% 8.02/5.56 inference(modus_ponens,[status(thm)],[4431, 4430])).
% 8.02/5.56 tff(4433,plain,
% 8.02/5.56 (v117(constB117) <=> (~((~v84(constB117, bitIndex2)) | v84(constB117, bitIndex1) | v84(constB117, bitIndex0)))),
% 8.02/5.56 inference(unit_resolution,[status(thm)],[4432, 1071])).
% 8.02/5.56 tff(4434,plain,
% 8.02/5.56 (nextState(constB116, constB117) <=> nextState(constB116, constB117)),
% 8.02/5.56 inference(rewrite,[status(thm)],[])).
% 8.02/5.56 tff(4435,axiom,(nextState(constB116, constB117)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_116')).
% 8.02/5.56 tff(4436,plain,
% 8.02/5.56 (nextState(constB116, constB117)),
% 8.02/5.56 inference(modus_ponens,[status(thm)],[4435, 4434])).
% 8.02/5.56 tff(4437,plain,
% 8.02/5.56 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB116, constB117)) | (v94(constB117) <=> (~((~v104(constB117)) | (~v95(constB117))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB116, constB117)) | (v94(constB117) <=> (~((~v104(constB117)) | (~v95(constB117))))))),
% 8.02/5.56 inference(rewrite,[status(thm)],[])).
% 8.02/5.56 tff(4438,plain,
% 8.02/5.56 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB116, constB117)) | (v94(constB117) <=> (~((~v104(constB117)) | (~v95(constB117))))))),
% 8.02/5.56 inference(quant_inst,[status(thm)],[])).
% 8.02/5.56 tff(4439,plain,
% 8.02/5.56 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB116, constB117)) | (v94(constB117) <=> (~((~v104(constB117)) | (~v95(constB117)))))),
% 8.02/5.56 inference(modus_ponens,[status(thm)],[4438, 4437])).
% 8.02/5.56 tff(4440,plain,
% 8.02/5.56 (v94(constB117) <=> (~((~v104(constB117)) | (~v95(constB117))))),
% 8.02/5.56 inference(unit_resolution,[status(thm)],[4439, 4436, 775])).
% 8.02/5.56 tff(4441,plain,
% 8.02/5.56 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB116, constB117)) | (v95(constB117) <=> (~((~v1(constB117)) | (~v96(constB117))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB116, constB117)) | (v95(constB117) <=> (~((~v1(constB117)) | (~v96(constB117))))))),
% 8.02/5.56 inference(rewrite,[status(thm)],[])).
% 8.02/5.56 tff(4442,plain,
% 8.02/5.56 (((~nextState(constB116, constB117)) | (v95(constB117) <=> (~((~v96(constB117)) | (~v1(constB117)))))) <=> ((~nextState(constB116, constB117)) | (v95(constB117) <=> (~((~v1(constB117)) | (~v96(constB117))))))),
% 8.02/5.56 inference(rewrite,[status(thm)],[])).
% 8.02/5.56 tff(4443,plain,
% 8.02/5.56 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB116, constB117)) | (v95(constB117) <=> (~((~v96(constB117)) | (~v1(constB117))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB116, constB117)) | (v95(constB117) <=> (~((~v1(constB117)) | (~v96(constB117)))))))),
% 8.02/5.56 inference(monotonicity,[status(thm)],[4442])).
% 8.02/5.56 tff(4444,plain,
% 8.02/5.56 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB116, constB117)) | (v95(constB117) <=> (~((~v96(constB117)) | (~v1(constB117))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB116, constB117)) | (v95(constB117) <=> (~((~v1(constB117)) | (~v96(constB117))))))),
% 8.02/5.56 inference(transitivity,[status(thm)],[4443, 4441])).
% 8.02/5.56 tff(4445,plain,
% 8.02/5.56 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB116, constB117)) | (v95(constB117) <=> (~((~v96(constB117)) | (~v1(constB117))))))),
% 8.02/5.56 inference(quant_inst,[status(thm)],[])).
% 8.02/5.56 tff(4446,plain,
% 8.02/5.56 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB116, constB117)) | (v95(constB117) <=> (~((~v1(constB117)) | (~v96(constB117)))))),
% 8.02/5.56 inference(modus_ponens,[status(thm)],[4445, 4444])).
% 8.02/5.56 tff(4447,plain,
% 8.02/5.56 (v95(constB117) <=> (~((~v1(constB117)) | (~v96(constB117))))),
% 8.02/5.56 inference(unit_resolution,[status(thm)],[4446, 4436, 795])).
% 8.02/5.56 tff(4448,plain,
% 8.02/5.56 (((~v1(constB117)) | (~v96(constB117))) | v1(constB117)),
% 8.02/5.56 inference(tautology,[status(thm)],[])).
% 8.02/5.56 tff(4449,plain,
% 8.02/5.56 ((~v1(constB117)) | (~v96(constB117))),
% 8.02/5.56 inference(unit_resolution,[status(thm)],[4448, 4399])).
% 8.02/5.56 tff(4450,plain,
% 8.02/5.56 ((~(v95(constB117) <=> (~((~v1(constB117)) | (~v96(constB117)))))) | (~v95(constB117)) | (~((~v1(constB117)) | (~v96(constB117))))),
% 8.02/5.56 inference(tautology,[status(thm)],[])).
% 8.02/5.56 tff(4451,plain,
% 8.02/5.56 ((~(v95(constB117) <=> (~((~v1(constB117)) | (~v96(constB117)))))) | (~v95(constB117))),
% 8.02/5.56 inference(unit_resolution,[status(thm)],[4450, 4449])).
% 8.02/5.56 tff(4452,plain,
% 8.02/5.56 (~v95(constB117)),
% 8.02/5.56 inference(unit_resolution,[status(thm)],[4451, 4447])).
% 8.02/5.56 tff(4453,plain,
% 8.02/5.56 (((~v104(constB117)) | (~v95(constB117))) | v95(constB117)),
% 8.02/5.56 inference(tautology,[status(thm)],[])).
% 8.02/5.56 tff(4454,plain,
% 8.02/5.56 ((~v104(constB117)) | (~v95(constB117))),
% 8.02/5.56 inference(unit_resolution,[status(thm)],[4453, 4452])).
% 8.02/5.56 tff(4455,plain,
% 8.02/5.56 ((~(v94(constB117) <=> (~((~v104(constB117)) | (~v95(constB117)))))) | (~v94(constB117)) | (~((~v104(constB117)) | (~v95(constB117))))),
% 8.02/5.56 inference(tautology,[status(thm)],[])).
% 8.02/5.56 tff(4456,plain,
% 8.02/5.56 (~v94(constB117)),
% 8.02/5.56 inference(unit_resolution,[status(thm)],[4455, 4454, 4440])).
% 8.02/5.56 tff(4457,plain,
% 8.02/5.56 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB117) | (~nextState(constB116, constB117)) | ![B: $i] : ((~less_3(B)) | (v84(constB117, B) <=> v84(constB116, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB117) | (~nextState(constB116, constB117)) | ![B: $i] : ((~less_3(B)) | (v84(constB117, B) <=> v84(constB116, B))))),
% 8.02/5.56 inference(rewrite,[status(thm)],[])).
% 8.02/5.56 tff(4458,plain,
% 8.02/5.56 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB117) | (~nextState(constB116, constB117)) | ![B: $i] : ((~less_3(B)) | (v84(constB117, B) <=> v84(constB116, B))))),
% 8.02/5.56 inference(quant_inst,[status(thm)],[])).
% 8.02/5.56 tff(4459,plain,
% 8.02/5.56 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB117) | (~nextState(constB116, constB117)) | ![B: $i] : ((~less_3(B)) | (v84(constB117, B) <=> v84(constB116, B)))),
% 8.02/5.56 inference(modus_ponens,[status(thm)],[4458, 4457])).
% 8.02/5.56 tff(4460,plain,
% 8.02/5.56 (v94(constB117) | ![B: $i] : ((~less_3(B)) | (v84(constB117, B) <=> v84(constB116, B)))),
% 8.02/5.56 inference(unit_resolution,[status(thm)],[4459, 4436, 824])).
% 8.02/5.56 tff(4461,plain,
% 8.02/5.56 (![B: $i] : ((~less_3(B)) | (v84(constB117, B) <=> v84(constB116, B)))),
% 8.02/5.56 inference(unit_resolution,[status(thm)],[4460, 4456])).
% 8.02/5.56 tff(4462,plain,
% 8.02/5.56 (((~![B: $i] : ((~less_3(B)) | (v84(constB117, B) <=> v84(constB116, B)))) | ((~less_3(bitIndex2)) | (v84(constB117, bitIndex2) <=> v84(constB116, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB117, B) <=> v84(constB116, B)))) | (~less_3(bitIndex2)) | (v84(constB117, bitIndex2) <=> v84(constB116, bitIndex2)))),
% 8.02/5.56 inference(rewrite,[status(thm)],[])).
% 8.02/5.56 tff(4463,plain,
% 8.02/5.56 ((~![B: $i] : ((~less_3(B)) | (v84(constB117, B) <=> v84(constB116, B)))) | ((~less_3(bitIndex2)) | (v84(constB117, bitIndex2) <=> v84(constB116, bitIndex2)))),
% 8.02/5.56 inference(quant_inst,[status(thm)],[])).
% 8.02/5.56 tff(4464,plain,
% 8.02/5.56 ((~![B: $i] : ((~less_3(B)) | (v84(constB117, B) <=> v84(constB116, B)))) | (~less_3(bitIndex2)) | (v84(constB117, bitIndex2) <=> v84(constB116, bitIndex2))),
% 8.02/5.56 inference(modus_ponens,[status(thm)],[4463, 4462])).
% 8.02/5.56 tff(4465,plain,
% 8.02/5.56 (v84(constB117, bitIndex2) <=> v84(constB116, bitIndex2)),
% 8.02/5.56 inference(unit_resolution,[status(thm)],[4464, 832, 4461])).
% 8.02/5.56 tff(4466,plain,
% 8.02/5.56 (nextState(constB115, constB116) <=> nextState(constB115, constB116)),
% 8.02/5.56 inference(rewrite,[status(thm)],[])).
% 8.02/5.56 tff(4467,axiom,(nextState(constB115, constB116)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_115')).
% 8.02/5.56 tff(4468,plain,
% 8.02/5.56 (nextState(constB115, constB116)),
% 8.02/5.56 inference(modus_ponens,[status(thm)],[4467, 4466])).
% 8.02/5.56 tff(4469,plain,
% 8.02/5.56 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB115, constB116)) | (v94(constB116) <=> (~((~v104(constB116)) | (~v95(constB116))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB115, constB116)) | (v94(constB116) <=> (~((~v104(constB116)) | (~v95(constB116))))))),
% 8.02/5.56 inference(rewrite,[status(thm)],[])).
% 8.02/5.56 tff(4470,plain,
% 8.02/5.56 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB115, constB116)) | (v94(constB116) <=> (~((~v104(constB116)) | (~v95(constB116))))))),
% 8.02/5.56 inference(quant_inst,[status(thm)],[])).
% 8.02/5.56 tff(4471,plain,
% 8.02/5.56 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB115, constB116)) | (v94(constB116) <=> (~((~v104(constB116)) | (~v95(constB116)))))),
% 8.02/5.56 inference(modus_ponens,[status(thm)],[4470, 4469])).
% 8.02/5.56 tff(4472,plain,
% 8.02/5.56 (v94(constB116) <=> (~((~v104(constB116)) | (~v95(constB116))))),
% 8.02/5.56 inference(unit_resolution,[status(thm)],[4471, 4468, 775])).
% 8.02/5.56 tff(4473,plain,
% 8.02/5.56 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB115, constB116)) | (v95(constB116) <=> (~((~v1(constB116)) | (~v96(constB116))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB115, constB116)) | (v95(constB116) <=> (~((~v1(constB116)) | (~v96(constB116))))))),
% 8.02/5.56 inference(rewrite,[status(thm)],[])).
% 8.02/5.56 tff(4474,plain,
% 8.02/5.56 (((~nextState(constB115, constB116)) | (v95(constB116) <=> (~((~v96(constB116)) | (~v1(constB116)))))) <=> ((~nextState(constB115, constB116)) | (v95(constB116) <=> (~((~v1(constB116)) | (~v96(constB116))))))),
% 8.02/5.56 inference(rewrite,[status(thm)],[])).
% 8.02/5.56 tff(4475,plain,
% 8.02/5.56 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB115, constB116)) | (v95(constB116) <=> (~((~v96(constB116)) | (~v1(constB116))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB115, constB116)) | (v95(constB116) <=> (~((~v1(constB116)) | (~v96(constB116)))))))),
% 8.02/5.56 inference(monotonicity,[status(thm)],[4474])).
% 8.02/5.56 tff(4476,plain,
% 8.02/5.56 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB115, constB116)) | (v95(constB116) <=> (~((~v96(constB116)) | (~v1(constB116))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB115, constB116)) | (v95(constB116) <=> (~((~v1(constB116)) | (~v96(constB116))))))),
% 8.02/5.56 inference(transitivity,[status(thm)],[4475, 4473])).
% 8.02/5.56 tff(4477,plain,
% 8.02/5.56 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB115, constB116)) | (v95(constB116) <=> (~((~v96(constB116)) | (~v1(constB116))))))),
% 8.02/5.56 inference(quant_inst,[status(thm)],[])).
% 8.02/5.56 tff(4478,plain,
% 8.02/5.56 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB115, constB116)) | (v95(constB116) <=> (~((~v1(constB116)) | (~v96(constB116)))))),
% 8.02/5.56 inference(modus_ponens,[status(thm)],[4477, 4476])).
% 8.02/5.56 tff(4479,plain,
% 8.02/5.56 (v95(constB116) <=> (~((~v1(constB116)) | (~v96(constB116))))),
% 8.02/5.56 inference(unit_resolution,[status(thm)],[4478, 4468, 795])).
% 8.02/5.56 tff(4480,plain,
% 8.02/5.56 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB115, constB116)) | ((~v96(constB116)) <=> v98(constB116)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB115, constB116)) | ((~v96(constB116)) <=> v98(constB116)))),
% 8.02/5.56 inference(rewrite,[status(thm)],[])).
% 8.02/5.56 tff(4481,plain,
% 8.02/5.56 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB115, constB116)) | ((~v96(constB116)) <=> v98(constB116)))),
% 8.02/5.56 inference(quant_inst,[status(thm)],[])).
% 8.02/5.56 tff(4482,plain,
% 8.02/5.56 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB115, constB116)) | ((~v96(constB116)) <=> v98(constB116))),
% 8.02/5.56 inference(modus_ponens,[status(thm)],[4481, 4480])).
% 8.02/5.56 tff(4483,plain,
% 8.02/5.56 ((~v96(constB116)) <=> v98(constB116)),
% 8.02/5.56 inference(unit_resolution,[status(thm)],[4482, 4468, 860])).
% 8.02/5.56 tff(4484,plain,
% 8.02/5.56 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB115, constB116)) | (v98(constB116) <=> v1(constB115)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB115, constB116)) | (v98(constB116) <=> v1(constB115)))),
% 8.02/5.56 inference(rewrite,[status(thm)],[])).
% 8.02/5.56 tff(4485,plain,
% 8.02/5.56 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB115, constB116)) | (v98(constB116) <=> v1(constB115)))),
% 8.02/5.56 inference(quant_inst,[status(thm)],[])).
% 8.02/5.56 tff(4486,plain,
% 8.02/5.56 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB115, constB116)) | (v98(constB116) <=> v1(constB115))),
% 8.02/5.56 inference(modus_ponens,[status(thm)],[4485, 4484])).
% 8.02/5.56 tff(4487,plain,
% 8.02/5.56 (v98(constB116) <=> v1(constB115)),
% 8.02/5.56 inference(unit_resolution,[status(thm)],[4486, 4468, 874])).
% 8.02/5.56 tff(4488,plain,
% 8.02/5.56 ((~v1(constB115)) <=> (~v1(constB115))),
% 8.02/5.56 inference(rewrite,[status(thm)],[])).
% 8.02/5.56 tff(4489,axiom,(~v1(constB115)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_115')).
% 8.02/5.56 tff(4490,plain,
% 8.02/5.56 (~v1(constB115)),
% 8.02/5.56 inference(modus_ponens,[status(thm)],[4489, 4488])).
% 8.02/5.56 tff(4491,plain,
% 8.02/5.56 ((~(v98(constB116) <=> v1(constB115))) | (~v98(constB116)) | v1(constB115)),
% 8.02/5.56 inference(tautology,[status(thm)],[])).
% 8.02/5.56 tff(4492,plain,
% 8.02/5.56 ((~(v98(constB116) <=> v1(constB115))) | (~v98(constB116))),
% 8.02/5.56 inference(unit_resolution,[status(thm)],[4491, 4490])).
% 8.02/5.56 tff(4493,plain,
% 8.02/5.56 (~v98(constB116)),
% 8.02/5.56 inference(unit_resolution,[status(thm)],[4492, 4487])).
% 8.02/5.56 tff(4494,plain,
% 8.02/5.56 ((~((~v96(constB116)) <=> v98(constB116))) | v96(constB116) | v98(constB116)),
% 8.02/5.56 inference(tautology,[status(thm)],[])).
% 8.02/5.56 tff(4495,plain,
% 8.02/5.56 (v96(constB116)),
% 8.02/5.56 inference(unit_resolution,[status(thm)],[4494, 4493, 4483])).
% 8.02/5.56 tff(4496,plain,
% 8.02/5.56 (v1(constB116) <=> v1(constB116)),
% 8.02/5.56 inference(rewrite,[status(thm)],[])).
% 8.02/5.56 tff(4497,axiom,(v1(constB116)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_116')).
% 8.02/5.56 tff(4498,plain,
% 8.02/5.56 (v1(constB116)),
% 8.02/5.56 inference(modus_ponens,[status(thm)],[4497, 4496])).
% 8.02/5.56 tff(4499,plain,
% 8.02/5.56 ((~((~v1(constB116)) | (~v96(constB116)))) | (~v1(constB116)) | (~v96(constB116))),
% 8.02/5.56 inference(tautology,[status(thm)],[])).
% 8.02/5.56 tff(4500,plain,
% 8.02/5.56 ((~((~v1(constB116)) | (~v96(constB116)))) | (~v96(constB116))),
% 8.02/5.56 inference(unit_resolution,[status(thm)],[4499, 4498])).
% 8.02/5.56 tff(4501,plain,
% 8.02/5.56 (~((~v1(constB116)) | (~v96(constB116)))),
% 8.02/5.56 inference(unit_resolution,[status(thm)],[4500, 4495])).
% 8.02/5.56 tff(4502,plain,
% 8.02/5.56 ((~(v95(constB116) <=> (~((~v1(constB116)) | (~v96(constB116)))))) | v95(constB116) | ((~v1(constB116)) | (~v96(constB116)))),
% 8.02/5.56 inference(tautology,[status(thm)],[])).
% 8.02/5.56 tff(4503,plain,
% 8.02/5.56 (v95(constB116)),
% 8.02/5.56 inference(unit_resolution,[status(thm)],[4502, 4501, 4479])).
% 8.02/5.56 tff(4504,plain,
% 8.02/5.56 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB115, constB116)) | (v104(constB116) <=> v102(constB115)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB115, constB116)) | (v104(constB116) <=> v102(constB115)))),
% 8.02/5.56 inference(rewrite,[status(thm)],[])).
% 8.02/5.56 tff(4505,plain,
% 8.02/5.56 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB115, constB116)) | (v104(constB116) <=> v102(constB115)))),
% 8.02/5.57 inference(quant_inst,[status(thm)],[])).
% 8.02/5.57 tff(4506,plain,
% 8.02/5.57 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB115, constB116)) | (v104(constB116) <=> v102(constB115))),
% 8.02/5.57 inference(modus_ponens,[status(thm)],[4505, 4504])).
% 8.02/5.57 tff(4507,plain,
% 8.02/5.57 (v104(constB116) <=> v102(constB115)),
% 8.02/5.57 inference(unit_resolution,[status(thm)],[4506, 4468, 904])).
% 8.02/5.57 tff(4508,plain,
% 8.02/5.57 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB115) <=> (v105(constB115) | v106(constB115)))),
% 8.02/5.57 inference(quant_inst,[status(thm)],[])).
% 8.02/5.57 tff(4509,plain,
% 8.02/5.57 (v102(constB115) <=> (v105(constB115) | v106(constB115))),
% 8.02/5.57 inference(unit_resolution,[status(thm)],[4508, 915])).
% 8.02/5.57 tff(4510,plain,
% 8.02/5.57 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB115) <=> (~((~v107(constB115)) | (~v120(constB115)))))),
% 8.02/5.57 inference(quant_inst,[status(thm)],[])).
% 8.02/5.57 tff(4511,plain,
% 8.02/5.57 (v106(constB115) <=> (~((~v107(constB115)) | (~v120(constB115))))),
% 8.02/5.57 inference(unit_resolution,[status(thm)],[4510, 927])).
% 8.02/5.57 tff(4512,plain,
% 8.02/5.57 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB115) <=> (v108(constB115) | v119(constB115)))),
% 8.02/5.57 inference(quant_inst,[status(thm)],[])).
% 8.02/5.57 tff(4513,plain,
% 8.02/5.57 (v107(constB115) <=> (v108(constB115) | v119(constB115))),
% 8.02/5.57 inference(unit_resolution,[status(thm)],[4512, 936])).
% 8.02/5.57 tff(4514,plain,
% 8.02/5.57 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB115) <=> (v109(constB115) | v118(constB115)))),
% 8.02/5.57 inference(quant_inst,[status(thm)],[])).
% 8.02/5.57 tff(4515,plain,
% 8.02/5.57 (v108(constB115) <=> (v109(constB115) | v118(constB115))),
% 8.02/5.57 inference(unit_resolution,[status(thm)],[4514, 945])).
% 8.02/5.57 tff(4516,plain,
% 8.02/5.57 ((~![VarCurr: $i] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB115) <=> (v110(constB115) | v117(constB115)))),
% 8.02/5.57 inference(quant_inst,[status(thm)],[])).
% 8.02/5.57 tff(4517,plain,
% 8.02/5.57 (v109(constB115) <=> (v110(constB115) | v117(constB115))),
% 8.02/5.57 inference(unit_resolution,[status(thm)],[4516, 1056])).
% 8.02/5.57 tff(4518,plain,
% 8.02/5.57 ((~![VarCurr: $i] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB115) <=> (v111(constB115) | v116(constB115)))),
% 8.02/5.57 inference(quant_inst,[status(thm)],[])).
% 8.02/5.57 tff(4519,plain,
% 8.02/5.57 (v110(constB115) <=> (v111(constB115) | v116(constB115))),
% 8.02/5.57 inference(unit_resolution,[status(thm)],[4518, 1169])).
% 8.02/5.57 tff(4520,plain,
% 8.02/5.57 ((~![VarCurr: $i] : (v116(VarCurr) <=> (~(v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex0)))))) | (v116(constB115) <=> (~(v84(constB115, bitIndex2) | (~v84(constB115, bitIndex1)) | (~v84(constB115, bitIndex0)))))),
% 8.02/5.57 inference(quant_inst,[status(thm)],[])).
% 8.02/5.57 tff(4521,plain,
% 8.02/5.57 (v116(constB115) <=> (~(v84(constB115, bitIndex2) | (~v84(constB115, bitIndex1)) | (~v84(constB115, bitIndex0))))),
% 8.02/5.57 inference(unit_resolution,[status(thm)],[4520, 1184])).
% 8.02/5.57 tff(4522,plain,
% 8.02/5.57 (nextState(constB114, constB115) <=> nextState(constB114, constB115)),
% 8.02/5.57 inference(rewrite,[status(thm)],[])).
% 8.02/5.57 tff(4523,axiom,(nextState(constB114, constB115)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_114')).
% 8.02/5.57 tff(4524,plain,
% 8.02/5.57 (nextState(constB114, constB115)),
% 8.02/5.57 inference(modus_ponens,[status(thm)],[4523, 4522])).
% 8.02/5.57 tff(4525,plain,
% 8.02/5.57 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB114, constB115)) | (v94(constB115) <=> (~((~v104(constB115)) | (~v95(constB115))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB114, constB115)) | (v94(constB115) <=> (~((~v104(constB115)) | (~v95(constB115))))))),
% 8.02/5.57 inference(rewrite,[status(thm)],[])).
% 8.02/5.57 tff(4526,plain,
% 8.02/5.57 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB114, constB115)) | (v94(constB115) <=> (~((~v104(constB115)) | (~v95(constB115))))))),
% 8.02/5.57 inference(quant_inst,[status(thm)],[])).
% 8.02/5.57 tff(4527,plain,
% 8.02/5.57 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB114, constB115)) | (v94(constB115) <=> (~((~v104(constB115)) | (~v95(constB115)))))),
% 8.02/5.57 inference(modus_ponens,[status(thm)],[4526, 4525])).
% 8.02/5.57 tff(4528,plain,
% 8.02/5.57 (v94(constB115) <=> (~((~v104(constB115)) | (~v95(constB115))))),
% 8.02/5.57 inference(unit_resolution,[status(thm)],[4527, 4524, 775])).
% 8.02/5.57 tff(4529,plain,
% 8.02/5.57 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB114, constB115)) | (v95(constB115) <=> (~((~v1(constB115)) | (~v96(constB115))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB114, constB115)) | (v95(constB115) <=> (~((~v1(constB115)) | (~v96(constB115))))))),
% 8.02/5.57 inference(rewrite,[status(thm)],[])).
% 8.02/5.57 tff(4530,plain,
% 8.02/5.57 (((~nextState(constB114, constB115)) | (v95(constB115) <=> (~((~v96(constB115)) | (~v1(constB115)))))) <=> ((~nextState(constB114, constB115)) | (v95(constB115) <=> (~((~v1(constB115)) | (~v96(constB115))))))),
% 8.02/5.57 inference(rewrite,[status(thm)],[])).
% 8.02/5.57 tff(4531,plain,
% 8.02/5.57 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB114, constB115)) | (v95(constB115) <=> (~((~v96(constB115)) | (~v1(constB115))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB114, constB115)) | (v95(constB115) <=> (~((~v1(constB115)) | (~v96(constB115)))))))),
% 8.02/5.57 inference(monotonicity,[status(thm)],[4530])).
% 8.02/5.57 tff(4532,plain,
% 8.02/5.57 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB114, constB115)) | (v95(constB115) <=> (~((~v96(constB115)) | (~v1(constB115))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB114, constB115)) | (v95(constB115) <=> (~((~v1(constB115)) | (~v96(constB115))))))),
% 8.02/5.57 inference(transitivity,[status(thm)],[4531, 4529])).
% 8.02/5.57 tff(4533,plain,
% 8.02/5.57 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB114, constB115)) | (v95(constB115) <=> (~((~v96(constB115)) | (~v1(constB115))))))),
% 8.02/5.57 inference(quant_inst,[status(thm)],[])).
% 8.02/5.57 tff(4534,plain,
% 8.02/5.57 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB114, constB115)) | (v95(constB115) <=> (~((~v1(constB115)) | (~v96(constB115)))))),
% 8.02/5.57 inference(modus_ponens,[status(thm)],[4533, 4532])).
% 8.02/5.57 tff(4535,plain,
% 8.02/5.57 (v95(constB115) <=> (~((~v1(constB115)) | (~v96(constB115))))),
% 8.02/5.57 inference(unit_resolution,[status(thm)],[4534, 4524, 795])).
% 8.02/5.57 tff(4536,plain,
% 8.02/5.57 (((~v1(constB115)) | (~v96(constB115))) | v1(constB115)),
% 8.02/5.57 inference(tautology,[status(thm)],[])).
% 8.02/5.57 tff(4537,plain,
% 8.02/5.57 ((~v1(constB115)) | (~v96(constB115))),
% 8.02/5.57 inference(unit_resolution,[status(thm)],[4536, 4490])).
% 8.02/5.57 tff(4538,plain,
% 8.02/5.57 ((~(v95(constB115) <=> (~((~v1(constB115)) | (~v96(constB115)))))) | (~v95(constB115)) | (~((~v1(constB115)) | (~v96(constB115))))),
% 8.02/5.57 inference(tautology,[status(thm)],[])).
% 8.02/5.57 tff(4539,plain,
% 8.02/5.57 ((~(v95(constB115) <=> (~((~v1(constB115)) | (~v96(constB115)))))) | (~v95(constB115))),
% 8.02/5.57 inference(unit_resolution,[status(thm)],[4538, 4537])).
% 8.02/5.57 tff(4540,plain,
% 8.02/5.57 (~v95(constB115)),
% 8.02/5.57 inference(unit_resolution,[status(thm)],[4539, 4535])).
% 8.02/5.57 tff(4541,plain,
% 8.02/5.57 (((~v104(constB115)) | (~v95(constB115))) | v95(constB115)),
% 8.02/5.57 inference(tautology,[status(thm)],[])).
% 8.02/5.57 tff(4542,plain,
% 8.02/5.57 ((~v104(constB115)) | (~v95(constB115))),
% 8.02/5.57 inference(unit_resolution,[status(thm)],[4541, 4540])).
% 8.02/5.57 tff(4543,plain,
% 8.02/5.57 ((~(v94(constB115) <=> (~((~v104(constB115)) | (~v95(constB115)))))) | (~v94(constB115)) | (~((~v104(constB115)) | (~v95(constB115))))),
% 8.02/5.57 inference(tautology,[status(thm)],[])).
% 8.02/5.57 tff(4544,plain,
% 8.02/5.57 (~v94(constB115)),
% 8.02/5.57 inference(unit_resolution,[status(thm)],[4543, 4542, 4528])).
% 8.02/5.57 tff(4545,plain,
% 8.02/5.57 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB115) | (~nextState(constB114, constB115)) | ![B: $i] : ((~less_3(B)) | (v84(constB115, B) <=> v84(constB114, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB115) | (~nextState(constB114, constB115)) | ![B: $i] : ((~less_3(B)) | (v84(constB115, B) <=> v84(constB114, B))))),
% 8.02/5.57 inference(rewrite,[status(thm)],[])).
% 8.02/5.57 tff(4546,plain,
% 8.02/5.57 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB115) | (~nextState(constB114, constB115)) | ![B: $i] : ((~less_3(B)) | (v84(constB115, B) <=> v84(constB114, B))))),
% 8.02/5.57 inference(quant_inst,[status(thm)],[])).
% 8.02/5.57 tff(4547,plain,
% 8.02/5.57 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB115) | (~nextState(constB114, constB115)) | ![B: $i] : ((~less_3(B)) | (v84(constB115, B) <=> v84(constB114, B)))),
% 8.02/5.57 inference(modus_ponens,[status(thm)],[4546, 4545])).
% 8.02/5.57 tff(4548,plain,
% 8.02/5.57 (v94(constB115) | ![B: $i] : ((~less_3(B)) | (v84(constB115, B) <=> v84(constB114, B)))),
% 8.02/5.57 inference(unit_resolution,[status(thm)],[4547, 4524, 824])).
% 8.02/5.57 tff(4549,plain,
% 8.02/5.57 (![B: $i] : ((~less_3(B)) | (v84(constB115, B) <=> v84(constB114, B)))),
% 8.02/5.57 inference(unit_resolution,[status(thm)],[4548, 4544])).
% 8.02/5.57 tff(4550,plain,
% 8.02/5.57 (((~![B: $i] : ((~less_3(B)) | (v84(constB115, B) <=> v84(constB114, B)))) | ((~less_3(bitIndex2)) | (v84(constB115, bitIndex2) <=> v84(constB114, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB115, B) <=> v84(constB114, B)))) | (~less_3(bitIndex2)) | (v84(constB115, bitIndex2) <=> v84(constB114, bitIndex2)))),
% 8.02/5.57 inference(rewrite,[status(thm)],[])).
% 8.02/5.57 tff(4551,plain,
% 8.02/5.57 ((~![B: $i] : ((~less_3(B)) | (v84(constB115, B) <=> v84(constB114, B)))) | ((~less_3(bitIndex2)) | (v84(constB115, bitIndex2) <=> v84(constB114, bitIndex2)))),
% 8.02/5.57 inference(quant_inst,[status(thm)],[])).
% 8.02/5.57 tff(4552,plain,
% 8.02/5.57 ((~![B: $i] : ((~less_3(B)) | (v84(constB115, B) <=> v84(constB114, B)))) | (~less_3(bitIndex2)) | (v84(constB115, bitIndex2) <=> v84(constB114, bitIndex2))),
% 8.02/5.57 inference(modus_ponens,[status(thm)],[4551, 4550])).
% 8.02/5.57 tff(4553,plain,
% 8.02/5.57 (v84(constB115, bitIndex2) <=> v84(constB114, bitIndex2)),
% 8.02/5.57 inference(unit_resolution,[status(thm)],[4552, 832, 4549])).
% 8.02/5.57 tff(4554,plain,
% 8.02/5.57 (nextState(constB113, constB114) <=> nextState(constB113, constB114)),
% 8.02/5.57 inference(rewrite,[status(thm)],[])).
% 8.02/5.57 tff(4555,axiom,(nextState(constB113, constB114)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_113')).
% 8.02/5.57 tff(4556,plain,
% 8.02/5.57 (nextState(constB113, constB114)),
% 8.02/5.57 inference(modus_ponens,[status(thm)],[4555, 4554])).
% 8.02/5.57 tff(4557,plain,
% 8.02/5.57 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB113, constB114)) | (v94(constB114) <=> (~((~v104(constB114)) | (~v95(constB114))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB113, constB114)) | (v94(constB114) <=> (~((~v104(constB114)) | (~v95(constB114))))))),
% 8.02/5.57 inference(rewrite,[status(thm)],[])).
% 8.02/5.57 tff(4558,plain,
% 8.02/5.57 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB113, constB114)) | (v94(constB114) <=> (~((~v104(constB114)) | (~v95(constB114))))))),
% 8.02/5.57 inference(quant_inst,[status(thm)],[])).
% 8.02/5.57 tff(4559,plain,
% 8.02/5.57 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB113, constB114)) | (v94(constB114) <=> (~((~v104(constB114)) | (~v95(constB114)))))),
% 8.02/5.57 inference(modus_ponens,[status(thm)],[4558, 4557])).
% 8.02/5.57 tff(4560,plain,
% 8.02/5.57 (v94(constB114) <=> (~((~v104(constB114)) | (~v95(constB114))))),
% 8.02/5.57 inference(unit_resolution,[status(thm)],[4559, 4556, 775])).
% 8.02/5.57 tff(4561,plain,
% 8.02/5.57 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB113, constB114)) | (v95(constB114) <=> (~((~v1(constB114)) | (~v96(constB114))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB113, constB114)) | (v95(constB114) <=> (~((~v1(constB114)) | (~v96(constB114))))))),
% 8.02/5.57 inference(rewrite,[status(thm)],[])).
% 8.02/5.57 tff(4562,plain,
% 8.02/5.57 (((~nextState(constB113, constB114)) | (v95(constB114) <=> (~((~v96(constB114)) | (~v1(constB114)))))) <=> ((~nextState(constB113, constB114)) | (v95(constB114) <=> (~((~v1(constB114)) | (~v96(constB114))))))),
% 8.02/5.57 inference(rewrite,[status(thm)],[])).
% 8.02/5.57 tff(4563,plain,
% 8.02/5.57 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB113, constB114)) | (v95(constB114) <=> (~((~v96(constB114)) | (~v1(constB114))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB113, constB114)) | (v95(constB114) <=> (~((~v1(constB114)) | (~v96(constB114)))))))),
% 8.02/5.57 inference(monotonicity,[status(thm)],[4562])).
% 8.02/5.57 tff(4564,plain,
% 8.02/5.57 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB113, constB114)) | (v95(constB114) <=> (~((~v96(constB114)) | (~v1(constB114))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB113, constB114)) | (v95(constB114) <=> (~((~v1(constB114)) | (~v96(constB114))))))),
% 8.02/5.57 inference(transitivity,[status(thm)],[4563, 4561])).
% 8.02/5.57 tff(4565,plain,
% 8.02/5.57 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB113, constB114)) | (v95(constB114) <=> (~((~v96(constB114)) | (~v1(constB114))))))),
% 8.02/5.57 inference(quant_inst,[status(thm)],[])).
% 8.02/5.57 tff(4566,plain,
% 8.02/5.57 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB113, constB114)) | (v95(constB114) <=> (~((~v1(constB114)) | (~v96(constB114)))))),
% 8.02/5.57 inference(modus_ponens,[status(thm)],[4565, 4564])).
% 8.02/5.57 tff(4567,plain,
% 8.02/5.57 (v95(constB114) <=> (~((~v1(constB114)) | (~v96(constB114))))),
% 8.02/5.57 inference(unit_resolution,[status(thm)],[4566, 4556, 795])).
% 8.02/5.57 tff(4568,plain,
% 8.02/5.57 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB113, constB114)) | ((~v96(constB114)) <=> v98(constB114)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB113, constB114)) | ((~v96(constB114)) <=> v98(constB114)))),
% 8.02/5.57 inference(rewrite,[status(thm)],[])).
% 8.02/5.57 tff(4569,plain,
% 8.02/5.57 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB113, constB114)) | ((~v96(constB114)) <=> v98(constB114)))),
% 8.02/5.57 inference(quant_inst,[status(thm)],[])).
% 8.02/5.57 tff(4570,plain,
% 8.02/5.57 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB113, constB114)) | ((~v96(constB114)) <=> v98(constB114))),
% 8.02/5.57 inference(modus_ponens,[status(thm)],[4569, 4568])).
% 8.02/5.57 tff(4571,plain,
% 8.02/5.57 ((~v96(constB114)) <=> v98(constB114)),
% 8.02/5.57 inference(unit_resolution,[status(thm)],[4570, 4556, 860])).
% 8.02/5.57 tff(4572,plain,
% 8.02/5.57 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB113, constB114)) | (v98(constB114) <=> v1(constB113)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB113, constB114)) | (v98(constB114) <=> v1(constB113)))),
% 8.02/5.57 inference(rewrite,[status(thm)],[])).
% 8.02/5.57 tff(4573,plain,
% 8.02/5.57 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB113, constB114)) | (v98(constB114) <=> v1(constB113)))),
% 8.02/5.57 inference(quant_inst,[status(thm)],[])).
% 8.02/5.57 tff(4574,plain,
% 8.02/5.57 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB113, constB114)) | (v98(constB114) <=> v1(constB113))),
% 8.02/5.57 inference(modus_ponens,[status(thm)],[4573, 4572])).
% 8.02/5.57 tff(4575,plain,
% 8.02/5.57 (v98(constB114) <=> v1(constB113)),
% 8.02/5.57 inference(unit_resolution,[status(thm)],[4574, 4556, 874])).
% 8.02/5.57 tff(4576,plain,
% 8.02/5.57 ((~v1(constB113)) <=> (~v1(constB113))),
% 8.02/5.57 inference(rewrite,[status(thm)],[])).
% 8.02/5.57 tff(4577,axiom,(~v1(constB113)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_113')).
% 8.02/5.57 tff(4578,plain,
% 8.02/5.57 (~v1(constB113)),
% 8.02/5.57 inference(modus_ponens,[status(thm)],[4577, 4576])).
% 8.02/5.57 tff(4579,plain,
% 8.02/5.57 ((~(v98(constB114) <=> v1(constB113))) | (~v98(constB114)) | v1(constB113)),
% 8.02/5.57 inference(tautology,[status(thm)],[])).
% 8.02/5.57 tff(4580,plain,
% 8.02/5.57 ((~(v98(constB114) <=> v1(constB113))) | (~v98(constB114))),
% 8.02/5.57 inference(unit_resolution,[status(thm)],[4579, 4578])).
% 8.02/5.57 tff(4581,plain,
% 8.02/5.57 (~v98(constB114)),
% 8.02/5.57 inference(unit_resolution,[status(thm)],[4580, 4575])).
% 8.02/5.57 tff(4582,plain,
% 8.02/5.57 ((~((~v96(constB114)) <=> v98(constB114))) | v96(constB114) | v98(constB114)),
% 8.02/5.57 inference(tautology,[status(thm)],[])).
% 8.02/5.57 tff(4583,plain,
% 8.02/5.57 (v96(constB114)),
% 8.02/5.57 inference(unit_resolution,[status(thm)],[4582, 4581, 4571])).
% 8.02/5.57 tff(4584,plain,
% 8.02/5.57 (v1(constB114) <=> v1(constB114)),
% 8.02/5.57 inference(rewrite,[status(thm)],[])).
% 8.02/5.57 tff(4585,axiom,(v1(constB114)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_114')).
% 8.02/5.57 tff(4586,plain,
% 8.02/5.57 (v1(constB114)),
% 8.02/5.57 inference(modus_ponens,[status(thm)],[4585, 4584])).
% 8.02/5.57 tff(4587,plain,
% 8.02/5.57 ((~((~v1(constB114)) | (~v96(constB114)))) | (~v1(constB114)) | (~v96(constB114))),
% 8.02/5.57 inference(tautology,[status(thm)],[])).
% 8.02/5.57 tff(4588,plain,
% 8.02/5.57 ((~((~v1(constB114)) | (~v96(constB114)))) | (~v96(constB114))),
% 8.02/5.57 inference(unit_resolution,[status(thm)],[4587, 4586])).
% 8.02/5.57 tff(4589,plain,
% 8.02/5.57 (~((~v1(constB114)) | (~v96(constB114)))),
% 8.02/5.57 inference(unit_resolution,[status(thm)],[4588, 4583])).
% 8.02/5.57 tff(4590,plain,
% 8.02/5.57 ((~(v95(constB114) <=> (~((~v1(constB114)) | (~v96(constB114)))))) | v95(constB114) | ((~v1(constB114)) | (~v96(constB114)))),
% 8.02/5.57 inference(tautology,[status(thm)],[])).
% 8.02/5.57 tff(4591,plain,
% 8.02/5.57 (v95(constB114)),
% 8.02/5.57 inference(unit_resolution,[status(thm)],[4590, 4589, 4567])).
% 8.02/5.57 tff(4592,plain,
% 8.02/5.57 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB113, constB114)) | (v104(constB114) <=> v102(constB113)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB113, constB114)) | (v104(constB114) <=> v102(constB113)))),
% 8.02/5.57 inference(rewrite,[status(thm)],[])).
% 8.02/5.57 tff(4593,plain,
% 8.02/5.57 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB113, constB114)) | (v104(constB114) <=> v102(constB113)))),
% 8.02/5.57 inference(quant_inst,[status(thm)],[])).
% 8.02/5.57 tff(4594,plain,
% 8.02/5.57 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB113, constB114)) | (v104(constB114) <=> v102(constB113))),
% 8.02/5.57 inference(modus_ponens,[status(thm)],[4593, 4592])).
% 8.02/5.57 tff(4595,plain,
% 8.02/5.57 (v104(constB114) <=> v102(constB113)),
% 8.02/5.57 inference(unit_resolution,[status(thm)],[4594, 4556, 904])).
% 8.02/5.57 tff(4596,plain,
% 8.02/5.57 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB113) <=> (v105(constB113) | v106(constB113)))),
% 8.02/5.57 inference(quant_inst,[status(thm)],[])).
% 8.02/5.57 tff(4597,plain,
% 8.02/5.57 (v102(constB113) <=> (v105(constB113) | v106(constB113))),
% 8.02/5.57 inference(unit_resolution,[status(thm)],[4596, 915])).
% 8.02/5.57 tff(4598,plain,
% 8.02/5.57 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB113) <=> (~((~v107(constB113)) | (~v120(constB113)))))),
% 8.02/5.57 inference(quant_inst,[status(thm)],[])).
% 8.02/5.57 tff(4599,plain,
% 8.02/5.57 (v106(constB113) <=> (~((~v107(constB113)) | (~v120(constB113))))),
% 8.02/5.57 inference(unit_resolution,[status(thm)],[4598, 927])).
% 8.02/5.57 tff(4600,plain,
% 8.02/5.57 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB113) <=> (v108(constB113) | v119(constB113)))),
% 8.02/5.57 inference(quant_inst,[status(thm)],[])).
% 8.02/5.57 tff(4601,plain,
% 8.02/5.57 (v107(constB113) <=> (v108(constB113) | v119(constB113))),
% 8.02/5.57 inference(unit_resolution,[status(thm)],[4600, 936])).
% 8.02/5.57 tff(4602,plain,
% 8.02/5.57 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB113) <=> (v109(constB113) | v118(constB113)))),
% 8.02/5.57 inference(quant_inst,[status(thm)],[])).
% 8.02/5.57 tff(4603,plain,
% 8.02/5.57 (v108(constB113) <=> (v109(constB113) | v118(constB113))),
% 8.02/5.57 inference(unit_resolution,[status(thm)],[4602, 945])).
% 8.02/5.57 tff(4604,plain,
% 8.02/5.57 ((~![VarCurr: $i] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB113) <=> (v110(constB113) | v117(constB113)))),
% 8.02/5.57 inference(quant_inst,[status(thm)],[])).
% 8.02/5.57 tff(4605,plain,
% 8.02/5.57 (v109(constB113) <=> (v110(constB113) | v117(constB113))),
% 8.02/5.57 inference(unit_resolution,[status(thm)],[4604, 1056])).
% 8.02/5.57 tff(4606,plain,
% 8.02/5.57 ((~![VarCurr: $i] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB113) <=> (v111(constB113) | v116(constB113)))),
% 8.02/5.57 inference(quant_inst,[status(thm)],[])).
% 8.02/5.57 tff(4607,plain,
% 8.02/5.57 (v110(constB113) <=> (v111(constB113) | v116(constB113))),
% 8.02/5.57 inference(unit_resolution,[status(thm)],[4606, 1169])).
% 8.02/5.57 tff(4608,plain,
% 8.02/5.57 ((~![VarCurr: $i] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB113) <=> (v112(constB113) | v115(constB113)))),
% 8.02/5.57 inference(quant_inst,[status(thm)],[])).
% 8.02/5.57 tff(4609,plain,
% 8.02/5.57 (v111(constB113) <=> (v112(constB113) | v115(constB113))),
% 8.02/5.57 inference(unit_resolution,[status(thm)],[4608, 1279])).
% 8.02/5.57 tff(4610,plain,
% 8.02/5.57 (((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB113) <=> (~(v84(constB113, bitIndex2) | (~v84(constB113, bitIndex1)) | v84(constB113, bitIndex0))))) <=> ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB113) <=> (~(v84(constB113, bitIndex2) | (~v84(constB113, bitIndex1)) | v84(constB113, bitIndex0)))))),
% 8.02/5.57 inference(rewrite,[status(thm)],[])).
% 8.02/5.57 tff(4611,plain,
% 8.02/5.57 ((v115(constB113) <=> (~(v84(constB113, bitIndex0) | v84(constB113, bitIndex2) | (~v84(constB113, bitIndex1))))) <=> (v115(constB113) <=> (~(v84(constB113, bitIndex2) | (~v84(constB113, bitIndex1)) | v84(constB113, bitIndex0))))),
% 8.02/5.57 inference(rewrite,[status(thm)],[])).
% 8.02/5.57 tff(4612,plain,
% 8.02/5.57 (((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB113) <=> (~(v84(constB113, bitIndex0) | v84(constB113, bitIndex2) | (~v84(constB113, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB113) <=> (~(v84(constB113, bitIndex2) | (~v84(constB113, bitIndex1)) | v84(constB113, bitIndex0)))))),
% 8.02/5.57 inference(monotonicity,[status(thm)],[4611])).
% 8.02/5.57 tff(4613,plain,
% 8.02/5.57 (((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB113) <=> (~(v84(constB113, bitIndex0) | v84(constB113, bitIndex2) | (~v84(constB113, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB113) <=> (~(v84(constB113, bitIndex2) | (~v84(constB113, bitIndex1)) | v84(constB113, bitIndex0)))))),
% 8.02/5.57 inference(transitivity,[status(thm)],[4612, 4610])).
% 8.02/5.57 tff(4614,plain,
% 8.02/5.57 ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB113) <=> (~(v84(constB113, bitIndex0) | v84(constB113, bitIndex2) | (~v84(constB113, bitIndex1)))))),
% 8.02/5.57 inference(quant_inst,[status(thm)],[])).
% 8.02/5.57 tff(4615,plain,
% 8.02/5.57 ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB113) <=> (~(v84(constB113, bitIndex2) | (~v84(constB113, bitIndex1)) | v84(constB113, bitIndex0))))),
% 8.02/5.57 inference(modus_ponens,[status(thm)],[4614, 4613])).
% 8.02/5.57 tff(4616,plain,
% 8.02/5.57 (v115(constB113) <=> (~(v84(constB113, bitIndex2) | (~v84(constB113, bitIndex1)) | v84(constB113, bitIndex0)))),
% 8.02/5.57 inference(unit_resolution,[status(thm)],[4615, 1294])).
% 8.02/5.57 tff(4617,plain,
% 8.02/5.57 (nextState(constB112, constB113) <=> nextState(constB112, constB113)),
% 8.02/5.57 inference(rewrite,[status(thm)],[])).
% 8.02/5.57 tff(4618,axiom,(nextState(constB112, constB113)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_112')).
% 8.02/5.57 tff(4619,plain,
% 8.02/5.57 (nextState(constB112, constB113)),
% 8.02/5.57 inference(modus_ponens,[status(thm)],[4618, 4617])).
% 8.02/5.57 tff(4620,plain,
% 8.02/5.57 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB112, constB113)) | (v94(constB113) <=> (~((~v104(constB113)) | (~v95(constB113))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB112, constB113)) | (v94(constB113) <=> (~((~v104(constB113)) | (~v95(constB113))))))),
% 8.02/5.57 inference(rewrite,[status(thm)],[])).
% 8.02/5.57 tff(4621,plain,
% 8.02/5.57 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB112, constB113)) | (v94(constB113) <=> (~((~v104(constB113)) | (~v95(constB113))))))),
% 8.02/5.57 inference(quant_inst,[status(thm)],[])).
% 8.02/5.57 tff(4622,plain,
% 8.02/5.57 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB112, constB113)) | (v94(constB113) <=> (~((~v104(constB113)) | (~v95(constB113)))))),
% 8.02/5.57 inference(modus_ponens,[status(thm)],[4621, 4620])).
% 8.02/5.57 tff(4623,plain,
% 8.02/5.57 (v94(constB113) <=> (~((~v104(constB113)) | (~v95(constB113))))),
% 8.02/5.57 inference(unit_resolution,[status(thm)],[4622, 4619, 775])).
% 8.02/5.57 tff(4624,plain,
% 8.02/5.57 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB112, constB113)) | (v95(constB113) <=> (~((~v1(constB113)) | (~v96(constB113))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB112, constB113)) | (v95(constB113) <=> (~((~v1(constB113)) | (~v96(constB113))))))),
% 8.02/5.57 inference(rewrite,[status(thm)],[])).
% 8.02/5.57 tff(4625,plain,
% 8.02/5.57 (((~nextState(constB112, constB113)) | (v95(constB113) <=> (~((~v96(constB113)) | (~v1(constB113)))))) <=> ((~nextState(constB112, constB113)) | (v95(constB113) <=> (~((~v1(constB113)) | (~v96(constB113))))))),
% 8.02/5.57 inference(rewrite,[status(thm)],[])).
% 8.02/5.57 tff(4626,plain,
% 8.02/5.57 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB112, constB113)) | (v95(constB113) <=> (~((~v96(constB113)) | (~v1(constB113))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB112, constB113)) | (v95(constB113) <=> (~((~v1(constB113)) | (~v96(constB113)))))))),
% 8.02/5.57 inference(monotonicity,[status(thm)],[4625])).
% 8.02/5.57 tff(4627,plain,
% 8.02/5.57 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB112, constB113)) | (v95(constB113) <=> (~((~v96(constB113)) | (~v1(constB113))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB112, constB113)) | (v95(constB113) <=> (~((~v1(constB113)) | (~v96(constB113))))))),
% 8.02/5.57 inference(transitivity,[status(thm)],[4626, 4624])).
% 8.02/5.57 tff(4628,plain,
% 8.02/5.57 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB112, constB113)) | (v95(constB113) <=> (~((~v96(constB113)) | (~v1(constB113))))))),
% 8.02/5.57 inference(quant_inst,[status(thm)],[])).
% 8.02/5.57 tff(4629,plain,
% 8.02/5.57 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB112, constB113)) | (v95(constB113) <=> (~((~v1(constB113)) | (~v96(constB113)))))),
% 8.02/5.57 inference(modus_ponens,[status(thm)],[4628, 4627])).
% 8.02/5.57 tff(4630,plain,
% 8.02/5.57 (v95(constB113) <=> (~((~v1(constB113)) | (~v96(constB113))))),
% 8.02/5.57 inference(unit_resolution,[status(thm)],[4629, 4619, 795])).
% 8.02/5.57 tff(4631,plain,
% 8.02/5.57 (((~v1(constB113)) | (~v96(constB113))) | v1(constB113)),
% 8.02/5.57 inference(tautology,[status(thm)],[])).
% 8.02/5.57 tff(4632,plain,
% 8.02/5.57 ((~v1(constB113)) | (~v96(constB113))),
% 8.02/5.57 inference(unit_resolution,[status(thm)],[4631, 4578])).
% 8.02/5.57 tff(4633,plain,
% 8.02/5.57 ((~(v95(constB113) <=> (~((~v1(constB113)) | (~v96(constB113)))))) | (~v95(constB113)) | (~((~v1(constB113)) | (~v96(constB113))))),
% 8.02/5.57 inference(tautology,[status(thm)],[])).
% 8.02/5.57 tff(4634,plain,
% 8.02/5.57 ((~(v95(constB113) <=> (~((~v1(constB113)) | (~v96(constB113)))))) | (~v95(constB113))),
% 8.02/5.57 inference(unit_resolution,[status(thm)],[4633, 4632])).
% 8.02/5.57 tff(4635,plain,
% 8.02/5.57 (~v95(constB113)),
% 8.02/5.57 inference(unit_resolution,[status(thm)],[4634, 4630])).
% 8.02/5.57 tff(4636,plain,
% 8.02/5.57 (((~v104(constB113)) | (~v95(constB113))) | v95(constB113)),
% 8.02/5.57 inference(tautology,[status(thm)],[])).
% 8.02/5.57 tff(4637,plain,
% 8.02/5.57 ((~v104(constB113)) | (~v95(constB113))),
% 8.02/5.57 inference(unit_resolution,[status(thm)],[4636, 4635])).
% 8.02/5.57 tff(4638,plain,
% 8.02/5.57 ((~(v94(constB113) <=> (~((~v104(constB113)) | (~v95(constB113)))))) | (~v94(constB113)) | (~((~v104(constB113)) | (~v95(constB113))))),
% 8.02/5.57 inference(tautology,[status(thm)],[])).
% 8.02/5.57 tff(4639,plain,
% 8.02/5.57 (~v94(constB113)),
% 8.02/5.57 inference(unit_resolution,[status(thm)],[4638, 4637, 4623])).
% 8.02/5.57 tff(4640,plain,
% 8.02/5.57 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB113) | (~nextState(constB112, constB113)) | ![B: $i] : ((~less_3(B)) | (v84(constB113, B) <=> v84(constB112, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB113) | (~nextState(constB112, constB113)) | ![B: $i] : ((~less_3(B)) | (v84(constB113, B) <=> v84(constB112, B))))),
% 8.02/5.57 inference(rewrite,[status(thm)],[])).
% 8.02/5.57 tff(4641,plain,
% 8.02/5.57 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB113) | (~nextState(constB112, constB113)) | ![B: $i] : ((~less_3(B)) | (v84(constB113, B) <=> v84(constB112, B))))),
% 8.02/5.57 inference(quant_inst,[status(thm)],[])).
% 8.02/5.57 tff(4642,plain,
% 8.02/5.57 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB113) | (~nextState(constB112, constB113)) | ![B: $i] : ((~less_3(B)) | (v84(constB113, B) <=> v84(constB112, B)))),
% 8.02/5.57 inference(modus_ponens,[status(thm)],[4641, 4640])).
% 8.02/5.57 tff(4643,plain,
% 8.02/5.57 (v94(constB113) | ![B: $i] : ((~less_3(B)) | (v84(constB113, B) <=> v84(constB112, B)))),
% 8.02/5.57 inference(unit_resolution,[status(thm)],[4642, 4619, 824])).
% 8.02/5.57 tff(4644,plain,
% 8.02/5.57 (![B: $i] : ((~less_3(B)) | (v84(constB113, B) <=> v84(constB112, B)))),
% 8.02/5.57 inference(unit_resolution,[status(thm)],[4643, 4639])).
% 8.02/5.57 tff(4645,plain,
% 8.02/5.57 (((~![B: $i] : ((~less_3(B)) | (v84(constB113, B) <=> v84(constB112, B)))) | ((~less_3(bitIndex2)) | (v84(constB113, bitIndex2) <=> v84(constB112, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB113, B) <=> v84(constB112, B)))) | (~less_3(bitIndex2)) | (v84(constB113, bitIndex2) <=> v84(constB112, bitIndex2)))),
% 8.02/5.57 inference(rewrite,[status(thm)],[])).
% 8.02/5.57 tff(4646,plain,
% 8.02/5.57 ((~![B: $i] : ((~less_3(B)) | (v84(constB113, B) <=> v84(constB112, B)))) | ((~less_3(bitIndex2)) | (v84(constB113, bitIndex2) <=> v84(constB112, bitIndex2)))),
% 8.02/5.57 inference(quant_inst,[status(thm)],[])).
% 8.02/5.57 tff(4647,plain,
% 8.02/5.57 ((~![B: $i] : ((~less_3(B)) | (v84(constB113, B) <=> v84(constB112, B)))) | (~less_3(bitIndex2)) | (v84(constB113, bitIndex2) <=> v84(constB112, bitIndex2))),
% 8.02/5.57 inference(modus_ponens,[status(thm)],[4646, 4645])).
% 8.02/5.57 tff(4648,plain,
% 8.02/5.57 (v84(constB113, bitIndex2) <=> v84(constB112, bitIndex2)),
% 8.02/5.57 inference(unit_resolution,[status(thm)],[4647, 832, 4644])).
% 8.02/5.57 tff(4649,plain,
% 8.02/5.57 (nextState(constB111, constB112) <=> nextState(constB111, constB112)),
% 8.02/5.57 inference(rewrite,[status(thm)],[])).
% 8.02/5.57 tff(4650,axiom,(nextState(constB111, constB112)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_111')).
% 8.02/5.57 tff(4651,plain,
% 8.02/5.57 (nextState(constB111, constB112)),
% 8.02/5.57 inference(modus_ponens,[status(thm)],[4650, 4649])).
% 8.02/5.57 tff(4652,plain,
% 8.02/5.57 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB111, constB112)) | (v94(constB112) <=> (~((~v104(constB112)) | (~v95(constB112))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB111, constB112)) | (v94(constB112) <=> (~((~v104(constB112)) | (~v95(constB112))))))),
% 8.02/5.57 inference(rewrite,[status(thm)],[])).
% 8.02/5.57 tff(4653,plain,
% 8.02/5.57 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB111, constB112)) | (v94(constB112) <=> (~((~v104(constB112)) | (~v95(constB112))))))),
% 8.02/5.57 inference(quant_inst,[status(thm)],[])).
% 8.02/5.57 tff(4654,plain,
% 8.02/5.57 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB111, constB112)) | (v94(constB112) <=> (~((~v104(constB112)) | (~v95(constB112)))))),
% 8.02/5.57 inference(modus_ponens,[status(thm)],[4653, 4652])).
% 8.02/5.57 tff(4655,plain,
% 8.02/5.57 (v94(constB112) <=> (~((~v104(constB112)) | (~v95(constB112))))),
% 8.02/5.57 inference(unit_resolution,[status(thm)],[4654, 4651, 775])).
% 8.02/5.58 tff(4656,plain,
% 8.02/5.58 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB111, constB112)) | (v95(constB112) <=> (~((~v1(constB112)) | (~v96(constB112))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB111, constB112)) | (v95(constB112) <=> (~((~v1(constB112)) | (~v96(constB112))))))),
% 8.02/5.58 inference(rewrite,[status(thm)],[])).
% 8.02/5.58 tff(4657,plain,
% 8.02/5.58 (((~nextState(constB111, constB112)) | (v95(constB112) <=> (~((~v96(constB112)) | (~v1(constB112)))))) <=> ((~nextState(constB111, constB112)) | (v95(constB112) <=> (~((~v1(constB112)) | (~v96(constB112))))))),
% 8.02/5.58 inference(rewrite,[status(thm)],[])).
% 8.02/5.58 tff(4658,plain,
% 8.02/5.58 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB111, constB112)) | (v95(constB112) <=> (~((~v96(constB112)) | (~v1(constB112))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB111, constB112)) | (v95(constB112) <=> (~((~v1(constB112)) | (~v96(constB112)))))))),
% 8.02/5.58 inference(monotonicity,[status(thm)],[4657])).
% 8.02/5.58 tff(4659,plain,
% 8.02/5.58 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB111, constB112)) | (v95(constB112) <=> (~((~v96(constB112)) | (~v1(constB112))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB111, constB112)) | (v95(constB112) <=> (~((~v1(constB112)) | (~v96(constB112))))))),
% 8.02/5.58 inference(transitivity,[status(thm)],[4658, 4656])).
% 8.02/5.58 tff(4660,plain,
% 8.02/5.58 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB111, constB112)) | (v95(constB112) <=> (~((~v96(constB112)) | (~v1(constB112))))))),
% 8.02/5.58 inference(quant_inst,[status(thm)],[])).
% 8.02/5.58 tff(4661,plain,
% 8.02/5.58 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB111, constB112)) | (v95(constB112) <=> (~((~v1(constB112)) | (~v96(constB112)))))),
% 8.02/5.58 inference(modus_ponens,[status(thm)],[4660, 4659])).
% 8.02/5.58 tff(4662,plain,
% 8.02/5.58 (v95(constB112) <=> (~((~v1(constB112)) | (~v96(constB112))))),
% 8.02/5.58 inference(unit_resolution,[status(thm)],[4661, 4651, 795])).
% 8.02/5.58 tff(4663,plain,
% 8.02/5.58 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB111, constB112)) | ((~v96(constB112)) <=> v98(constB112)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB111, constB112)) | ((~v96(constB112)) <=> v98(constB112)))),
% 8.02/5.58 inference(rewrite,[status(thm)],[])).
% 8.02/5.58 tff(4664,plain,
% 8.02/5.58 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB111, constB112)) | ((~v96(constB112)) <=> v98(constB112)))),
% 8.02/5.58 inference(quant_inst,[status(thm)],[])).
% 8.02/5.58 tff(4665,plain,
% 8.02/5.58 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB111, constB112)) | ((~v96(constB112)) <=> v98(constB112))),
% 8.02/5.58 inference(modus_ponens,[status(thm)],[4664, 4663])).
% 8.02/5.58 tff(4666,plain,
% 8.02/5.58 ((~v96(constB112)) <=> v98(constB112)),
% 8.02/5.58 inference(unit_resolution,[status(thm)],[4665, 4651, 860])).
% 8.02/5.58 tff(4667,plain,
% 8.02/5.58 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB111, constB112)) | (v98(constB112) <=> v1(constB111)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB111, constB112)) | (v98(constB112) <=> v1(constB111)))),
% 8.02/5.58 inference(rewrite,[status(thm)],[])).
% 8.02/5.58 tff(4668,plain,
% 8.02/5.58 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB111, constB112)) | (v98(constB112) <=> v1(constB111)))),
% 8.02/5.58 inference(quant_inst,[status(thm)],[])).
% 8.02/5.58 tff(4669,plain,
% 8.02/5.58 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB111, constB112)) | (v98(constB112) <=> v1(constB111))),
% 8.02/5.58 inference(modus_ponens,[status(thm)],[4668, 4667])).
% 8.02/5.58 tff(4670,plain,
% 8.02/5.58 (v98(constB112) <=> v1(constB111)),
% 8.02/5.58 inference(unit_resolution,[status(thm)],[4669, 4651, 874])).
% 8.02/5.58 tff(4671,plain,
% 8.02/5.58 ((~v1(constB111)) <=> (~v1(constB111))),
% 8.02/5.58 inference(rewrite,[status(thm)],[])).
% 8.02/5.58 tff(4672,axiom,(~v1(constB111)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_111')).
% 8.02/5.58 tff(4673,plain,
% 8.02/5.58 (~v1(constB111)),
% 8.02/5.58 inference(modus_ponens,[status(thm)],[4672, 4671])).
% 8.02/5.58 tff(4674,plain,
% 8.02/5.58 ((~(v98(constB112) <=> v1(constB111))) | (~v98(constB112)) | v1(constB111)),
% 8.02/5.58 inference(tautology,[status(thm)],[])).
% 8.02/5.58 tff(4675,plain,
% 8.02/5.58 ((~(v98(constB112) <=> v1(constB111))) | (~v98(constB112))),
% 8.02/5.58 inference(unit_resolution,[status(thm)],[4674, 4673])).
% 8.02/5.58 tff(4676,plain,
% 8.02/5.58 (~v98(constB112)),
% 8.02/5.58 inference(unit_resolution,[status(thm)],[4675, 4670])).
% 8.02/5.58 tff(4677,plain,
% 8.02/5.58 ((~((~v96(constB112)) <=> v98(constB112))) | v96(constB112) | v98(constB112)),
% 8.02/5.58 inference(tautology,[status(thm)],[])).
% 8.02/5.58 tff(4678,plain,
% 8.02/5.58 (v96(constB112)),
% 8.02/5.58 inference(unit_resolution,[status(thm)],[4677, 4676, 4666])).
% 8.02/5.58 tff(4679,plain,
% 8.02/5.58 (v1(constB112) <=> v1(constB112)),
% 8.02/5.58 inference(rewrite,[status(thm)],[])).
% 8.02/5.58 tff(4680,axiom,(v1(constB112)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_112')).
% 8.02/5.58 tff(4681,plain,
% 8.02/5.58 (v1(constB112)),
% 8.02/5.58 inference(modus_ponens,[status(thm)],[4680, 4679])).
% 8.02/5.58 tff(4682,plain,
% 8.02/5.58 ((~((~v1(constB112)) | (~v96(constB112)))) | (~v1(constB112)) | (~v96(constB112))),
% 8.02/5.58 inference(tautology,[status(thm)],[])).
% 8.02/5.58 tff(4683,plain,
% 8.02/5.58 ((~((~v1(constB112)) | (~v96(constB112)))) | (~v96(constB112))),
% 8.02/5.58 inference(unit_resolution,[status(thm)],[4682, 4681])).
% 8.02/5.58 tff(4684,plain,
% 8.02/5.58 (~((~v1(constB112)) | (~v96(constB112)))),
% 8.02/5.58 inference(unit_resolution,[status(thm)],[4683, 4678])).
% 8.02/5.58 tff(4685,plain,
% 8.02/5.58 ((~(v95(constB112) <=> (~((~v1(constB112)) | (~v96(constB112)))))) | v95(constB112) | ((~v1(constB112)) | (~v96(constB112)))),
% 8.02/5.58 inference(tautology,[status(thm)],[])).
% 8.02/5.58 tff(4686,plain,
% 8.02/5.58 (v95(constB112)),
% 8.02/5.58 inference(unit_resolution,[status(thm)],[4685, 4684, 4662])).
% 8.02/5.58 tff(4687,plain,
% 8.02/5.58 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB111, constB112)) | (v104(constB112) <=> v102(constB111)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB111, constB112)) | (v104(constB112) <=> v102(constB111)))),
% 8.02/5.58 inference(rewrite,[status(thm)],[])).
% 8.02/5.58 tff(4688,plain,
% 8.02/5.58 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB111, constB112)) | (v104(constB112) <=> v102(constB111)))),
% 8.02/5.58 inference(quant_inst,[status(thm)],[])).
% 8.02/5.58 tff(4689,plain,
% 8.02/5.58 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB111, constB112)) | (v104(constB112) <=> v102(constB111))),
% 8.02/5.58 inference(modus_ponens,[status(thm)],[4688, 4687])).
% 8.02/5.58 tff(4690,plain,
% 8.02/5.58 (v104(constB112) <=> v102(constB111)),
% 8.02/5.58 inference(unit_resolution,[status(thm)],[4689, 4651, 904])).
% 8.02/5.58 tff(4691,plain,
% 8.02/5.58 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB111) <=> (v105(constB111) | v106(constB111)))),
% 8.02/5.58 inference(quant_inst,[status(thm)],[])).
% 8.02/5.58 tff(4692,plain,
% 8.02/5.58 (v102(constB111) <=> (v105(constB111) | v106(constB111))),
% 8.02/5.58 inference(unit_resolution,[status(thm)],[4691, 915])).
% 8.02/5.58 tff(4693,plain,
% 8.02/5.58 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB111) <=> (~((~v107(constB111)) | (~v120(constB111)))))),
% 8.02/5.58 inference(quant_inst,[status(thm)],[])).
% 8.02/5.58 tff(4694,plain,
% 8.02/5.58 (v106(constB111) <=> (~((~v107(constB111)) | (~v120(constB111))))),
% 8.02/5.58 inference(unit_resolution,[status(thm)],[4693, 927])).
% 8.02/5.58 tff(4695,plain,
% 8.02/5.58 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB111) <=> (v108(constB111) | v119(constB111)))),
% 8.02/5.58 inference(quant_inst,[status(thm)],[])).
% 8.02/5.58 tff(4696,plain,
% 8.02/5.58 (v107(constB111) <=> (v108(constB111) | v119(constB111))),
% 8.02/5.58 inference(unit_resolution,[status(thm)],[4695, 936])).
% 8.02/5.58 tff(4697,plain,
% 8.02/5.58 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB111) <=> (v109(constB111) | v118(constB111)))),
% 8.02/5.58 inference(quant_inst,[status(thm)],[])).
% 8.02/5.58 tff(4698,plain,
% 8.02/5.58 (v108(constB111) <=> (v109(constB111) | v118(constB111))),
% 8.02/5.58 inference(unit_resolution,[status(thm)],[4697, 945])).
% 8.02/5.58 tff(4699,plain,
% 8.02/5.58 ((~![VarCurr: $i] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB111) <=> (v110(constB111) | v117(constB111)))),
% 8.02/5.58 inference(quant_inst,[status(thm)],[])).
% 8.02/5.58 tff(4700,plain,
% 8.02/5.58 (v109(constB111) <=> (v110(constB111) | v117(constB111))),
% 8.02/5.58 inference(unit_resolution,[status(thm)],[4699, 1056])).
% 8.02/5.58 tff(4701,plain,
% 8.02/5.58 ((~![VarCurr: $i] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB111) <=> (v111(constB111) | v116(constB111)))),
% 8.02/5.58 inference(quant_inst,[status(thm)],[])).
% 8.02/5.58 tff(4702,plain,
% 8.02/5.58 (v110(constB111) <=> (v111(constB111) | v116(constB111))),
% 8.02/5.58 inference(unit_resolution,[status(thm)],[4701, 1169])).
% 8.02/5.58 tff(4703,plain,
% 8.02/5.58 ((~![VarCurr: $i] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB111) <=> (v112(constB111) | v115(constB111)))),
% 8.02/5.58 inference(quant_inst,[status(thm)],[])).
% 8.02/5.58 tff(4704,plain,
% 8.02/5.58 (v111(constB111) <=> (v112(constB111) | v115(constB111))),
% 8.02/5.58 inference(unit_resolution,[status(thm)],[4703, 1279])).
% 8.02/5.58 tff(4705,plain,
% 8.02/5.58 ((~![VarCurr: $i] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))) | (v112(constB111) <=> (v113(constB111) | v114(constB111)))),
% 8.02/5.58 inference(quant_inst,[status(thm)],[])).
% 8.02/5.58 tff(4706,plain,
% 8.02/5.58 (v112(constB111) <=> (v113(constB111) | v114(constB111))),
% 8.02/5.58 inference(unit_resolution,[status(thm)],[4705, 1396])).
% 8.02/5.58 tff(4707,plain,
% 8.02/5.58 (((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB111) <=> (~(v84(constB111, bitIndex2) | v84(constB111, bitIndex1) | (~v84(constB111, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB111) <=> (~(v84(constB111, bitIndex2) | v84(constB111, bitIndex1) | (~v84(constB111, bitIndex0))))))),
% 8.02/5.58 inference(rewrite,[status(thm)],[])).
% 8.02/5.58 tff(4708,plain,
% 8.02/5.58 ((v114(constB111) <=> (~(v84(constB111, bitIndex1) | v84(constB111, bitIndex2) | (~v84(constB111, bitIndex0))))) <=> (v114(constB111) <=> (~(v84(constB111, bitIndex2) | v84(constB111, bitIndex1) | (~v84(constB111, bitIndex0)))))),
% 8.02/5.58 inference(rewrite,[status(thm)],[])).
% 8.02/5.58 tff(4709,plain,
% 8.02/5.58 (((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB111) <=> (~(v84(constB111, bitIndex1) | v84(constB111, bitIndex2) | (~v84(constB111, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB111) <=> (~(v84(constB111, bitIndex2) | v84(constB111, bitIndex1) | (~v84(constB111, bitIndex0))))))),
% 8.02/5.58 inference(monotonicity,[status(thm)],[4708])).
% 8.02/5.58 tff(4710,plain,
% 8.02/5.58 (((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB111) <=> (~(v84(constB111, bitIndex1) | v84(constB111, bitIndex2) | (~v84(constB111, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB111) <=> (~(v84(constB111, bitIndex2) | v84(constB111, bitIndex1) | (~v84(constB111, bitIndex0))))))),
% 8.02/5.58 inference(transitivity,[status(thm)],[4709, 4707])).
% 8.02/5.58 tff(4711,plain,
% 8.02/5.58 ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB111) <=> (~(v84(constB111, bitIndex1) | v84(constB111, bitIndex2) | (~v84(constB111, bitIndex0)))))),
% 8.02/5.58 inference(quant_inst,[status(thm)],[])).
% 8.02/5.58 tff(4712,plain,
% 8.02/5.58 ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB111) <=> (~(v84(constB111, bitIndex2) | v84(constB111, bitIndex1) | (~v84(constB111, bitIndex0)))))),
% 8.02/5.58 inference(modus_ponens,[status(thm)],[4711, 4710])).
% 8.02/5.58 tff(4713,plain,
% 8.02/5.58 (v114(constB111) <=> (~(v84(constB111, bitIndex2) | v84(constB111, bitIndex1) | (~v84(constB111, bitIndex0))))),
% 8.02/5.58 inference(unit_resolution,[status(thm)],[4712, 1411])).
% 8.02/5.58 tff(4714,plain,
% 8.02/5.58 (nextState(constB110, constB111) <=> nextState(constB110, constB111)),
% 8.02/5.58 inference(rewrite,[status(thm)],[])).
% 8.02/5.58 tff(4715,axiom,(nextState(constB110, constB111)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_110')).
% 8.02/5.58 tff(4716,plain,
% 8.02/5.58 (nextState(constB110, constB111)),
% 8.02/5.58 inference(modus_ponens,[status(thm)],[4715, 4714])).
% 8.02/5.58 tff(4717,plain,
% 8.02/5.58 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB110, constB111)) | (v94(constB111) <=> (~((~v104(constB111)) | (~v95(constB111))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB110, constB111)) | (v94(constB111) <=> (~((~v104(constB111)) | (~v95(constB111))))))),
% 8.02/5.58 inference(rewrite,[status(thm)],[])).
% 8.02/5.58 tff(4718,plain,
% 8.02/5.58 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB110, constB111)) | (v94(constB111) <=> (~((~v104(constB111)) | (~v95(constB111))))))),
% 8.02/5.58 inference(quant_inst,[status(thm)],[])).
% 8.02/5.58 tff(4719,plain,
% 8.02/5.58 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB110, constB111)) | (v94(constB111) <=> (~((~v104(constB111)) | (~v95(constB111)))))),
% 8.02/5.58 inference(modus_ponens,[status(thm)],[4718, 4717])).
% 8.02/5.58 tff(4720,plain,
% 8.02/5.58 (v94(constB111) <=> (~((~v104(constB111)) | (~v95(constB111))))),
% 8.02/5.58 inference(unit_resolution,[status(thm)],[4719, 4716, 775])).
% 8.02/5.58 tff(4721,plain,
% 8.02/5.58 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB110, constB111)) | (v95(constB111) <=> (~((~v1(constB111)) | (~v96(constB111))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB110, constB111)) | (v95(constB111) <=> (~((~v1(constB111)) | (~v96(constB111))))))),
% 8.02/5.58 inference(rewrite,[status(thm)],[])).
% 8.02/5.58 tff(4722,plain,
% 8.02/5.58 (((~nextState(constB110, constB111)) | (v95(constB111) <=> (~((~v96(constB111)) | (~v1(constB111)))))) <=> ((~nextState(constB110, constB111)) | (v95(constB111) <=> (~((~v1(constB111)) | (~v96(constB111))))))),
% 8.02/5.58 inference(rewrite,[status(thm)],[])).
% 8.02/5.58 tff(4723,plain,
% 8.02/5.58 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB110, constB111)) | (v95(constB111) <=> (~((~v96(constB111)) | (~v1(constB111))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB110, constB111)) | (v95(constB111) <=> (~((~v1(constB111)) | (~v96(constB111)))))))),
% 8.02/5.58 inference(monotonicity,[status(thm)],[4722])).
% 8.02/5.58 tff(4724,plain,
% 8.02/5.58 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB110, constB111)) | (v95(constB111) <=> (~((~v96(constB111)) | (~v1(constB111))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB110, constB111)) | (v95(constB111) <=> (~((~v1(constB111)) | (~v96(constB111))))))),
% 8.02/5.58 inference(transitivity,[status(thm)],[4723, 4721])).
% 8.02/5.58 tff(4725,plain,
% 8.02/5.58 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB110, constB111)) | (v95(constB111) <=> (~((~v96(constB111)) | (~v1(constB111))))))),
% 8.02/5.58 inference(quant_inst,[status(thm)],[])).
% 8.02/5.58 tff(4726,plain,
% 8.02/5.58 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB110, constB111)) | (v95(constB111) <=> (~((~v1(constB111)) | (~v96(constB111)))))),
% 8.02/5.58 inference(modus_ponens,[status(thm)],[4725, 4724])).
% 8.02/5.58 tff(4727,plain,
% 8.02/5.58 (v95(constB111) <=> (~((~v1(constB111)) | (~v96(constB111))))),
% 8.02/5.58 inference(unit_resolution,[status(thm)],[4726, 4716, 795])).
% 8.02/5.58 tff(4728,plain,
% 8.02/5.58 (((~v1(constB111)) | (~v96(constB111))) | v1(constB111)),
% 8.02/5.58 inference(tautology,[status(thm)],[])).
% 8.02/5.58 tff(4729,plain,
% 8.02/5.58 ((~v1(constB111)) | (~v96(constB111))),
% 8.02/5.58 inference(unit_resolution,[status(thm)],[4728, 4673])).
% 8.02/5.58 tff(4730,plain,
% 8.02/5.58 ((~(v95(constB111) <=> (~((~v1(constB111)) | (~v96(constB111)))))) | (~v95(constB111)) | (~((~v1(constB111)) | (~v96(constB111))))),
% 8.02/5.58 inference(tautology,[status(thm)],[])).
% 8.02/5.58 tff(4731,plain,
% 8.02/5.58 ((~(v95(constB111) <=> (~((~v1(constB111)) | (~v96(constB111)))))) | (~v95(constB111))),
% 8.02/5.58 inference(unit_resolution,[status(thm)],[4730, 4729])).
% 8.02/5.58 tff(4732,plain,
% 8.02/5.58 (~v95(constB111)),
% 8.02/5.58 inference(unit_resolution,[status(thm)],[4731, 4727])).
% 8.02/5.58 tff(4733,plain,
% 8.02/5.58 (((~v104(constB111)) | (~v95(constB111))) | v95(constB111)),
% 8.02/5.58 inference(tautology,[status(thm)],[])).
% 8.02/5.58 tff(4734,plain,
% 8.02/5.58 ((~v104(constB111)) | (~v95(constB111))),
% 8.02/5.58 inference(unit_resolution,[status(thm)],[4733, 4732])).
% 8.02/5.58 tff(4735,plain,
% 8.02/5.58 ((~(v94(constB111) <=> (~((~v104(constB111)) | (~v95(constB111)))))) | (~v94(constB111)) | (~((~v104(constB111)) | (~v95(constB111))))),
% 8.02/5.58 inference(tautology,[status(thm)],[])).
% 8.02/5.58 tff(4736,plain,
% 8.02/5.58 (~v94(constB111)),
% 8.02/5.58 inference(unit_resolution,[status(thm)],[4735, 4734, 4720])).
% 8.02/5.58 tff(4737,plain,
% 8.02/5.58 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB111) | (~nextState(constB110, constB111)) | ![B: $i] : ((~less_3(B)) | (v84(constB111, B) <=> v84(constB110, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB111) | (~nextState(constB110, constB111)) | ![B: $i] : ((~less_3(B)) | (v84(constB111, B) <=> v84(constB110, B))))),
% 8.02/5.58 inference(rewrite,[status(thm)],[])).
% 8.02/5.58 tff(4738,plain,
% 8.02/5.58 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB111) | (~nextState(constB110, constB111)) | ![B: $i] : ((~less_3(B)) | (v84(constB111, B) <=> v84(constB110, B))))),
% 8.02/5.58 inference(quant_inst,[status(thm)],[])).
% 8.02/5.58 tff(4739,plain,
% 8.02/5.58 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB111) | (~nextState(constB110, constB111)) | ![B: $i] : ((~less_3(B)) | (v84(constB111, B) <=> v84(constB110, B)))),
% 8.02/5.58 inference(modus_ponens,[status(thm)],[4738, 4737])).
% 8.02/5.58 tff(4740,plain,
% 8.02/5.58 (v94(constB111) | ![B: $i] : ((~less_3(B)) | (v84(constB111, B) <=> v84(constB110, B)))),
% 8.02/5.58 inference(unit_resolution,[status(thm)],[4739, 4716, 824])).
% 8.02/5.58 tff(4741,plain,
% 8.02/5.58 (![B: $i] : ((~less_3(B)) | (v84(constB111, B) <=> v84(constB110, B)))),
% 8.02/5.58 inference(unit_resolution,[status(thm)],[4740, 4736])).
% 8.02/5.58 tff(4742,plain,
% 8.02/5.58 (((~![B: $i] : ((~less_3(B)) | (v84(constB111, B) <=> v84(constB110, B)))) | ((~less_3(bitIndex2)) | (v84(constB111, bitIndex2) <=> v84(constB110, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB111, B) <=> v84(constB110, B)))) | (~less_3(bitIndex2)) | (v84(constB111, bitIndex2) <=> v84(constB110, bitIndex2)))),
% 8.02/5.58 inference(rewrite,[status(thm)],[])).
% 8.02/5.58 tff(4743,plain,
% 8.02/5.58 ((~![B: $i] : ((~less_3(B)) | (v84(constB111, B) <=> v84(constB110, B)))) | ((~less_3(bitIndex2)) | (v84(constB111, bitIndex2) <=> v84(constB110, bitIndex2)))),
% 8.02/5.58 inference(quant_inst,[status(thm)],[])).
% 8.02/5.58 tff(4744,plain,
% 8.02/5.58 ((~![B: $i] : ((~less_3(B)) | (v84(constB111, B) <=> v84(constB110, B)))) | (~less_3(bitIndex2)) | (v84(constB111, bitIndex2) <=> v84(constB110, bitIndex2))),
% 8.02/5.58 inference(modus_ponens,[status(thm)],[4743, 4742])).
% 8.02/5.58 tff(4745,plain,
% 8.02/5.58 (v84(constB111, bitIndex2) <=> v84(constB110, bitIndex2)),
% 8.02/5.58 inference(unit_resolution,[status(thm)],[4744, 832, 4741])).
% 8.02/5.58 tff(4746,plain,
% 8.02/5.58 (nextState(constB109, constB110) <=> nextState(constB109, constB110)),
% 8.02/5.58 inference(rewrite,[status(thm)],[])).
% 8.02/5.58 tff(4747,axiom,(nextState(constB109, constB110)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_109')).
% 8.02/5.58 tff(4748,plain,
% 8.02/5.58 (nextState(constB109, constB110)),
% 8.02/5.58 inference(modus_ponens,[status(thm)],[4747, 4746])).
% 8.02/5.58 tff(4749,plain,
% 8.02/5.58 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB109, constB110)) | (v94(constB110) <=> (~((~v104(constB110)) | (~v95(constB110))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB109, constB110)) | (v94(constB110) <=> (~((~v104(constB110)) | (~v95(constB110))))))),
% 8.02/5.58 inference(rewrite,[status(thm)],[])).
% 8.02/5.58 tff(4750,plain,
% 8.02/5.58 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB109, constB110)) | (v94(constB110) <=> (~((~v104(constB110)) | (~v95(constB110))))))),
% 8.02/5.58 inference(quant_inst,[status(thm)],[])).
% 8.02/5.58 tff(4751,plain,
% 8.02/5.58 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB109, constB110)) | (v94(constB110) <=> (~((~v104(constB110)) | (~v95(constB110)))))),
% 8.02/5.58 inference(modus_ponens,[status(thm)],[4750, 4749])).
% 8.02/5.58 tff(4752,plain,
% 8.02/5.58 (v94(constB110) <=> (~((~v104(constB110)) | (~v95(constB110))))),
% 8.02/5.58 inference(unit_resolution,[status(thm)],[4751, 4748, 775])).
% 8.02/5.58 tff(4753,plain,
% 8.02/5.58 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB109, constB110)) | (v95(constB110) <=> (~((~v1(constB110)) | (~v96(constB110))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB109, constB110)) | (v95(constB110) <=> (~((~v1(constB110)) | (~v96(constB110))))))),
% 8.02/5.58 inference(rewrite,[status(thm)],[])).
% 8.02/5.58 tff(4754,plain,
% 8.02/5.58 (((~nextState(constB109, constB110)) | (v95(constB110) <=> (~((~v96(constB110)) | (~v1(constB110)))))) <=> ((~nextState(constB109, constB110)) | (v95(constB110) <=> (~((~v1(constB110)) | (~v96(constB110))))))),
% 8.02/5.58 inference(rewrite,[status(thm)],[])).
% 8.02/5.58 tff(4755,plain,
% 8.02/5.58 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB109, constB110)) | (v95(constB110) <=> (~((~v96(constB110)) | (~v1(constB110))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB109, constB110)) | (v95(constB110) <=> (~((~v1(constB110)) | (~v96(constB110)))))))),
% 8.02/5.58 inference(monotonicity,[status(thm)],[4754])).
% 8.02/5.58 tff(4756,plain,
% 8.02/5.58 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB109, constB110)) | (v95(constB110) <=> (~((~v96(constB110)) | (~v1(constB110))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB109, constB110)) | (v95(constB110) <=> (~((~v1(constB110)) | (~v96(constB110))))))),
% 8.02/5.58 inference(transitivity,[status(thm)],[4755, 4753])).
% 8.02/5.58 tff(4757,plain,
% 8.02/5.58 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB109, constB110)) | (v95(constB110) <=> (~((~v96(constB110)) | (~v1(constB110))))))),
% 8.02/5.58 inference(quant_inst,[status(thm)],[])).
% 8.02/5.58 tff(4758,plain,
% 8.02/5.58 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB109, constB110)) | (v95(constB110) <=> (~((~v1(constB110)) | (~v96(constB110)))))),
% 8.02/5.58 inference(modus_ponens,[status(thm)],[4757, 4756])).
% 8.02/5.58 tff(4759,plain,
% 8.02/5.58 (v95(constB110) <=> (~((~v1(constB110)) | (~v96(constB110))))),
% 8.02/5.58 inference(unit_resolution,[status(thm)],[4758, 4748, 795])).
% 8.02/5.58 tff(4760,plain,
% 8.02/5.58 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB109, constB110)) | ((~v96(constB110)) <=> v98(constB110)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB109, constB110)) | ((~v96(constB110)) <=> v98(constB110)))),
% 8.02/5.58 inference(rewrite,[status(thm)],[])).
% 8.02/5.58 tff(4761,plain,
% 8.02/5.58 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB109, constB110)) | ((~v96(constB110)) <=> v98(constB110)))),
% 8.02/5.58 inference(quant_inst,[status(thm)],[])).
% 8.02/5.58 tff(4762,plain,
% 8.02/5.58 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB109, constB110)) | ((~v96(constB110)) <=> v98(constB110))),
% 8.02/5.58 inference(modus_ponens,[status(thm)],[4761, 4760])).
% 8.02/5.58 tff(4763,plain,
% 8.02/5.58 ((~v96(constB110)) <=> v98(constB110)),
% 8.02/5.58 inference(unit_resolution,[status(thm)],[4762, 4748, 860])).
% 8.02/5.58 tff(4764,plain,
% 8.02/5.58 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB109, constB110)) | (v98(constB110) <=> v1(constB109)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB109, constB110)) | (v98(constB110) <=> v1(constB109)))),
% 8.02/5.58 inference(rewrite,[status(thm)],[])).
% 8.02/5.58 tff(4765,plain,
% 8.02/5.58 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB109, constB110)) | (v98(constB110) <=> v1(constB109)))),
% 8.02/5.58 inference(quant_inst,[status(thm)],[])).
% 8.02/5.58 tff(4766,plain,
% 8.02/5.58 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB109, constB110)) | (v98(constB110) <=> v1(constB109))),
% 8.02/5.58 inference(modus_ponens,[status(thm)],[4765, 4764])).
% 8.02/5.58 tff(4767,plain,
% 8.02/5.58 (v98(constB110) <=> v1(constB109)),
% 8.02/5.58 inference(unit_resolution,[status(thm)],[4766, 4748, 874])).
% 8.02/5.58 tff(4768,plain,
% 8.02/5.58 ((~v1(constB109)) <=> (~v1(constB109))),
% 8.02/5.58 inference(rewrite,[status(thm)],[])).
% 8.02/5.58 tff(4769,axiom,(~v1(constB109)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_109')).
% 8.02/5.58 tff(4770,plain,
% 8.02/5.58 (~v1(constB109)),
% 8.02/5.58 inference(modus_ponens,[status(thm)],[4769, 4768])).
% 8.02/5.58 tff(4771,plain,
% 8.02/5.58 ((~(v98(constB110) <=> v1(constB109))) | (~v98(constB110)) | v1(constB109)),
% 8.02/5.58 inference(tautology,[status(thm)],[])).
% 8.02/5.58 tff(4772,plain,
% 8.02/5.58 ((~(v98(constB110) <=> v1(constB109))) | (~v98(constB110))),
% 8.02/5.58 inference(unit_resolution,[status(thm)],[4771, 4770])).
% 8.02/5.58 tff(4773,plain,
% 8.02/5.58 (~v98(constB110)),
% 8.02/5.58 inference(unit_resolution,[status(thm)],[4772, 4767])).
% 8.02/5.58 tff(4774,plain,
% 8.02/5.58 ((~((~v96(constB110)) <=> v98(constB110))) | v96(constB110) | v98(constB110)),
% 8.02/5.58 inference(tautology,[status(thm)],[])).
% 8.02/5.58 tff(4775,plain,
% 8.02/5.58 (v96(constB110)),
% 8.02/5.58 inference(unit_resolution,[status(thm)],[4774, 4773, 4763])).
% 8.02/5.58 tff(4776,plain,
% 8.02/5.58 (v1(constB110) <=> v1(constB110)),
% 8.02/5.58 inference(rewrite,[status(thm)],[])).
% 8.02/5.58 tff(4777,axiom,(v1(constB110)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_110')).
% 8.02/5.58 tff(4778,plain,
% 8.02/5.58 (v1(constB110)),
% 8.02/5.58 inference(modus_ponens,[status(thm)],[4777, 4776])).
% 8.02/5.58 tff(4779,plain,
% 8.02/5.58 ((~((~v1(constB110)) | (~v96(constB110)))) | (~v1(constB110)) | (~v96(constB110))),
% 8.02/5.58 inference(tautology,[status(thm)],[])).
% 8.02/5.58 tff(4780,plain,
% 8.02/5.58 ((~((~v1(constB110)) | (~v96(constB110)))) | (~v96(constB110))),
% 8.02/5.58 inference(unit_resolution,[status(thm)],[4779, 4778])).
% 8.02/5.58 tff(4781,plain,
% 8.02/5.58 (~((~v1(constB110)) | (~v96(constB110)))),
% 8.02/5.58 inference(unit_resolution,[status(thm)],[4780, 4775])).
% 8.02/5.58 tff(4782,plain,
% 8.02/5.58 ((~(v95(constB110) <=> (~((~v1(constB110)) | (~v96(constB110)))))) | v95(constB110) | ((~v1(constB110)) | (~v96(constB110)))),
% 8.02/5.58 inference(tautology,[status(thm)],[])).
% 8.02/5.58 tff(4783,plain,
% 8.02/5.58 (v95(constB110)),
% 8.02/5.58 inference(unit_resolution,[status(thm)],[4782, 4781, 4759])).
% 8.02/5.58 tff(4784,plain,
% 8.02/5.58 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB109, constB110)) | (v104(constB110) <=> v102(constB109)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB109, constB110)) | (v104(constB110) <=> v102(constB109)))),
% 8.02/5.58 inference(rewrite,[status(thm)],[])).
% 8.02/5.58 tff(4785,plain,
% 8.02/5.58 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB109, constB110)) | (v104(constB110) <=> v102(constB109)))),
% 8.02/5.58 inference(quant_inst,[status(thm)],[])).
% 8.02/5.58 tff(4786,plain,
% 8.02/5.58 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB109, constB110)) | (v104(constB110) <=> v102(constB109))),
% 8.02/5.58 inference(modus_ponens,[status(thm)],[4785, 4784])).
% 8.02/5.58 tff(4787,plain,
% 8.02/5.58 (v104(constB110) <=> v102(constB109)),
% 8.02/5.58 inference(unit_resolution,[status(thm)],[4786, 4748, 904])).
% 8.02/5.58 tff(4788,plain,
% 8.02/5.58 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB109) <=> (v105(constB109) | v106(constB109)))),
% 8.02/5.58 inference(quant_inst,[status(thm)],[])).
% 8.02/5.58 tff(4789,plain,
% 8.02/5.58 (v102(constB109) <=> (v105(constB109) | v106(constB109))),
% 8.02/5.58 inference(unit_resolution,[status(thm)],[4788, 915])).
% 8.02/5.58 tff(4790,plain,
% 8.02/5.58 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB109) <=> (~((~v107(constB109)) | (~v120(constB109)))))),
% 8.02/5.58 inference(quant_inst,[status(thm)],[])).
% 8.02/5.58 tff(4791,plain,
% 8.02/5.58 (v106(constB109) <=> (~((~v107(constB109)) | (~v120(constB109))))),
% 8.02/5.58 inference(unit_resolution,[status(thm)],[4790, 927])).
% 8.02/5.58 tff(4792,plain,
% 8.02/5.58 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB109) <=> (v108(constB109) | v119(constB109)))),
% 8.02/5.58 inference(quant_inst,[status(thm)],[])).
% 8.02/5.58 tff(4793,plain,
% 8.02/5.58 (v107(constB109) <=> (v108(constB109) | v119(constB109))),
% 8.02/5.58 inference(unit_resolution,[status(thm)],[4792, 936])).
% 8.02/5.58 tff(4794,plain,
% 8.02/5.58 (((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB109) <=> (~((~v84(constB109, bitIndex2)) | (~v84(constB109, bitIndex1)) | v84(constB109, bitIndex0))))) <=> ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB109) <=> (~((~v84(constB109, bitIndex2)) | (~v84(constB109, bitIndex1)) | v84(constB109, bitIndex0)))))),
% 8.02/5.58 inference(rewrite,[status(thm)],[])).
% 8.02/5.58 tff(4795,plain,
% 8.02/5.58 ((v119(constB109) <=> (~(v84(constB109, bitIndex0) | (~v84(constB109, bitIndex1)) | (~v84(constB109, bitIndex2))))) <=> (v119(constB109) <=> (~((~v84(constB109, bitIndex2)) | (~v84(constB109, bitIndex1)) | v84(constB109, bitIndex0))))),
% 8.02/5.58 inference(rewrite,[status(thm)],[])).
% 8.02/5.58 tff(4796,plain,
% 8.02/5.58 (((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB109) <=> (~(v84(constB109, bitIndex0) | (~v84(constB109, bitIndex1)) | (~v84(constB109, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB109) <=> (~((~v84(constB109, bitIndex2)) | (~v84(constB109, bitIndex1)) | v84(constB109, bitIndex0)))))),
% 8.02/5.58 inference(monotonicity,[status(thm)],[4795])).
% 8.02/5.58 tff(4797,plain,
% 8.02/5.58 (((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB109) <=> (~(v84(constB109, bitIndex0) | (~v84(constB109, bitIndex1)) | (~v84(constB109, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB109) <=> (~((~v84(constB109, bitIndex2)) | (~v84(constB109, bitIndex1)) | v84(constB109, bitIndex0)))))),
% 8.02/5.58 inference(transitivity,[status(thm)],[4796, 4794])).
% 8.02/5.58 tff(4798,plain,
% 8.02/5.58 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB109) <=> (~(v84(constB109, bitIndex0) | (~v84(constB109, bitIndex1)) | (~v84(constB109, bitIndex2)))))),
% 8.02/5.58 inference(quant_inst,[status(thm)],[])).
% 8.02/5.58 tff(4799,plain,
% 8.02/5.58 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB109) <=> (~((~v84(constB109, bitIndex2)) | (~v84(constB109, bitIndex1)) | v84(constB109, bitIndex0))))),
% 8.02/5.58 inference(modus_ponens,[status(thm)],[4798, 4797])).
% 8.02/5.58 tff(4800,plain,
% 8.02/5.58 (v119(constB109) <=> (~((~v84(constB109, bitIndex2)) | (~v84(constB109, bitIndex1)) | v84(constB109, bitIndex0)))),
% 8.02/5.58 inference(unit_resolution,[status(thm)],[4799, 1511])).
% 8.02/5.58 tff(4801,plain,
% 8.02/5.58 (nextState(constB108, constB109) <=> nextState(constB108, constB109)),
% 8.02/5.58 inference(rewrite,[status(thm)],[])).
% 8.02/5.58 tff(4802,axiom,(nextState(constB108, constB109)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_108')).
% 8.02/5.58 tff(4803,plain,
% 8.02/5.58 (nextState(constB108, constB109)),
% 8.02/5.58 inference(modus_ponens,[status(thm)],[4802, 4801])).
% 8.02/5.58 tff(4804,plain,
% 8.02/5.58 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB108, constB109)) | (v94(constB109) <=> (~((~v104(constB109)) | (~v95(constB109))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB108, constB109)) | (v94(constB109) <=> (~((~v104(constB109)) | (~v95(constB109))))))),
% 8.02/5.58 inference(rewrite,[status(thm)],[])).
% 8.02/5.58 tff(4805,plain,
% 8.02/5.58 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB108, constB109)) | (v94(constB109) <=> (~((~v104(constB109)) | (~v95(constB109))))))),
% 8.02/5.58 inference(quant_inst,[status(thm)],[])).
% 8.02/5.58 tff(4806,plain,
% 8.02/5.58 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB108, constB109)) | (v94(constB109) <=> (~((~v104(constB109)) | (~v95(constB109)))))),
% 8.02/5.58 inference(modus_ponens,[status(thm)],[4805, 4804])).
% 8.02/5.58 tff(4807,plain,
% 8.02/5.58 (v94(constB109) <=> (~((~v104(constB109)) | (~v95(constB109))))),
% 8.02/5.58 inference(unit_resolution,[status(thm)],[4806, 4803, 775])).
% 8.02/5.58 tff(4808,plain,
% 8.02/5.58 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB108, constB109)) | (v95(constB109) <=> (~((~v1(constB109)) | (~v96(constB109))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB108, constB109)) | (v95(constB109) <=> (~((~v1(constB109)) | (~v96(constB109))))))),
% 8.02/5.59 inference(rewrite,[status(thm)],[])).
% 8.02/5.59 tff(4809,plain,
% 8.02/5.59 (((~nextState(constB108, constB109)) | (v95(constB109) <=> (~((~v96(constB109)) | (~v1(constB109)))))) <=> ((~nextState(constB108, constB109)) | (v95(constB109) <=> (~((~v1(constB109)) | (~v96(constB109))))))),
% 8.02/5.59 inference(rewrite,[status(thm)],[])).
% 8.02/5.59 tff(4810,plain,
% 8.02/5.59 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB108, constB109)) | (v95(constB109) <=> (~((~v96(constB109)) | (~v1(constB109))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB108, constB109)) | (v95(constB109) <=> (~((~v1(constB109)) | (~v96(constB109)))))))),
% 8.02/5.59 inference(monotonicity,[status(thm)],[4809])).
% 8.02/5.59 tff(4811,plain,
% 8.02/5.59 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB108, constB109)) | (v95(constB109) <=> (~((~v96(constB109)) | (~v1(constB109))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB108, constB109)) | (v95(constB109) <=> (~((~v1(constB109)) | (~v96(constB109))))))),
% 8.02/5.59 inference(transitivity,[status(thm)],[4810, 4808])).
% 8.02/5.59 tff(4812,plain,
% 8.02/5.59 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB108, constB109)) | (v95(constB109) <=> (~((~v96(constB109)) | (~v1(constB109))))))),
% 8.02/5.59 inference(quant_inst,[status(thm)],[])).
% 8.02/5.59 tff(4813,plain,
% 8.02/5.59 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB108, constB109)) | (v95(constB109) <=> (~((~v1(constB109)) | (~v96(constB109)))))),
% 8.02/5.59 inference(modus_ponens,[status(thm)],[4812, 4811])).
% 8.02/5.59 tff(4814,plain,
% 8.02/5.59 (v95(constB109) <=> (~((~v1(constB109)) | (~v96(constB109))))),
% 8.02/5.59 inference(unit_resolution,[status(thm)],[4813, 4803, 795])).
% 8.02/5.59 tff(4815,plain,
% 8.02/5.59 (((~v1(constB109)) | (~v96(constB109))) | v1(constB109)),
% 8.02/5.59 inference(tautology,[status(thm)],[])).
% 8.02/5.59 tff(4816,plain,
% 8.02/5.59 ((~v1(constB109)) | (~v96(constB109))),
% 8.02/5.59 inference(unit_resolution,[status(thm)],[4815, 4770])).
% 8.02/5.59 tff(4817,plain,
% 8.02/5.59 ((~(v95(constB109) <=> (~((~v1(constB109)) | (~v96(constB109)))))) | (~v95(constB109)) | (~((~v1(constB109)) | (~v96(constB109))))),
% 8.02/5.59 inference(tautology,[status(thm)],[])).
% 8.02/5.59 tff(4818,plain,
% 8.02/5.59 ((~(v95(constB109) <=> (~((~v1(constB109)) | (~v96(constB109)))))) | (~v95(constB109))),
% 8.02/5.59 inference(unit_resolution,[status(thm)],[4817, 4816])).
% 8.02/5.59 tff(4819,plain,
% 8.02/5.59 (~v95(constB109)),
% 8.02/5.59 inference(unit_resolution,[status(thm)],[4818, 4814])).
% 8.02/5.59 tff(4820,plain,
% 8.02/5.59 (((~v104(constB109)) | (~v95(constB109))) | v95(constB109)),
% 8.02/5.59 inference(tautology,[status(thm)],[])).
% 8.02/5.59 tff(4821,plain,
% 8.02/5.59 ((~v104(constB109)) | (~v95(constB109))),
% 8.02/5.59 inference(unit_resolution,[status(thm)],[4820, 4819])).
% 8.02/5.59 tff(4822,plain,
% 8.02/5.59 ((~(v94(constB109) <=> (~((~v104(constB109)) | (~v95(constB109)))))) | (~v94(constB109)) | (~((~v104(constB109)) | (~v95(constB109))))),
% 8.02/5.59 inference(tautology,[status(thm)],[])).
% 8.02/5.59 tff(4823,plain,
% 8.02/5.59 (~v94(constB109)),
% 8.02/5.59 inference(unit_resolution,[status(thm)],[4822, 4821, 4807])).
% 8.02/5.59 tff(4824,plain,
% 8.02/5.59 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB109) | (~nextState(constB108, constB109)) | ![B: $i] : ((~less_3(B)) | (v84(constB109, B) <=> v84(constB108, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB109) | (~nextState(constB108, constB109)) | ![B: $i] : ((~less_3(B)) | (v84(constB109, B) <=> v84(constB108, B))))),
% 8.02/5.59 inference(rewrite,[status(thm)],[])).
% 8.02/5.59 tff(4825,plain,
% 8.02/5.59 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB109) | (~nextState(constB108, constB109)) | ![B: $i] : ((~less_3(B)) | (v84(constB109, B) <=> v84(constB108, B))))),
% 8.02/5.59 inference(quant_inst,[status(thm)],[])).
% 8.02/5.59 tff(4826,plain,
% 8.02/5.59 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB109) | (~nextState(constB108, constB109)) | ![B: $i] : ((~less_3(B)) | (v84(constB109, B) <=> v84(constB108, B)))),
% 8.02/5.59 inference(modus_ponens,[status(thm)],[4825, 4824])).
% 8.02/5.59 tff(4827,plain,
% 8.02/5.59 (v94(constB109) | ![B: $i] : ((~less_3(B)) | (v84(constB109, B) <=> v84(constB108, B)))),
% 8.02/5.59 inference(unit_resolution,[status(thm)],[4826, 4803, 824])).
% 8.02/5.59 tff(4828,plain,
% 8.02/5.59 (![B: $i] : ((~less_3(B)) | (v84(constB109, B) <=> v84(constB108, B)))),
% 8.02/5.59 inference(unit_resolution,[status(thm)],[4827, 4823])).
% 8.02/5.59 tff(4829,plain,
% 8.02/5.59 (((~![B: $i] : ((~less_3(B)) | (v84(constB109, B) <=> v84(constB108, B)))) | ((~less_3(bitIndex2)) | (v84(constB109, bitIndex2) <=> v84(constB108, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB109, B) <=> v84(constB108, B)))) | (~less_3(bitIndex2)) | (v84(constB109, bitIndex2) <=> v84(constB108, bitIndex2)))),
% 8.02/5.59 inference(rewrite,[status(thm)],[])).
% 8.02/5.59 tff(4830,plain,
% 8.02/5.59 ((~![B: $i] : ((~less_3(B)) | (v84(constB109, B) <=> v84(constB108, B)))) | ((~less_3(bitIndex2)) | (v84(constB109, bitIndex2) <=> v84(constB108, bitIndex2)))),
% 8.02/5.59 inference(quant_inst,[status(thm)],[])).
% 8.02/5.59 tff(4831,plain,
% 8.02/5.59 ((~![B: $i] : ((~less_3(B)) | (v84(constB109, B) <=> v84(constB108, B)))) | (~less_3(bitIndex2)) | (v84(constB109, bitIndex2) <=> v84(constB108, bitIndex2))),
% 8.02/5.59 inference(modus_ponens,[status(thm)],[4830, 4829])).
% 8.02/5.59 tff(4832,plain,
% 8.02/5.59 (v84(constB109, bitIndex2) <=> v84(constB108, bitIndex2)),
% 8.02/5.59 inference(unit_resolution,[status(thm)],[4831, 832, 4828])).
% 8.02/5.59 tff(4833,plain,
% 8.02/5.59 (nextState(constB107, constB108) <=> nextState(constB107, constB108)),
% 8.02/5.59 inference(rewrite,[status(thm)],[])).
% 8.02/5.59 tff(4834,axiom,(nextState(constB107, constB108)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_107')).
% 8.02/5.59 tff(4835,plain,
% 8.02/5.59 (nextState(constB107, constB108)),
% 8.02/5.59 inference(modus_ponens,[status(thm)],[4834, 4833])).
% 8.02/5.59 tff(4836,plain,
% 8.02/5.59 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB107, constB108)) | (v94(constB108) <=> (~((~v104(constB108)) | (~v95(constB108))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB107, constB108)) | (v94(constB108) <=> (~((~v104(constB108)) | (~v95(constB108))))))),
% 8.02/5.59 inference(rewrite,[status(thm)],[])).
% 8.02/5.59 tff(4837,plain,
% 8.02/5.59 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB107, constB108)) | (v94(constB108) <=> (~((~v104(constB108)) | (~v95(constB108))))))),
% 8.02/5.59 inference(quant_inst,[status(thm)],[])).
% 8.02/5.59 tff(4838,plain,
% 8.02/5.59 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB107, constB108)) | (v94(constB108) <=> (~((~v104(constB108)) | (~v95(constB108)))))),
% 8.02/5.59 inference(modus_ponens,[status(thm)],[4837, 4836])).
% 8.02/5.59 tff(4839,plain,
% 8.02/5.59 (v94(constB108) <=> (~((~v104(constB108)) | (~v95(constB108))))),
% 8.02/5.59 inference(unit_resolution,[status(thm)],[4838, 4835, 775])).
% 8.02/5.59 tff(4840,plain,
% 8.02/5.59 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB107, constB108)) | (v95(constB108) <=> (~((~v1(constB108)) | (~v96(constB108))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB107, constB108)) | (v95(constB108) <=> (~((~v1(constB108)) | (~v96(constB108))))))),
% 8.02/5.59 inference(rewrite,[status(thm)],[])).
% 8.02/5.59 tff(4841,plain,
% 8.02/5.59 (((~nextState(constB107, constB108)) | (v95(constB108) <=> (~((~v96(constB108)) | (~v1(constB108)))))) <=> ((~nextState(constB107, constB108)) | (v95(constB108) <=> (~((~v1(constB108)) | (~v96(constB108))))))),
% 8.02/5.59 inference(rewrite,[status(thm)],[])).
% 8.02/5.59 tff(4842,plain,
% 8.02/5.59 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB107, constB108)) | (v95(constB108) <=> (~((~v96(constB108)) | (~v1(constB108))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB107, constB108)) | (v95(constB108) <=> (~((~v1(constB108)) | (~v96(constB108)))))))),
% 8.02/5.59 inference(monotonicity,[status(thm)],[4841])).
% 8.02/5.59 tff(4843,plain,
% 8.02/5.59 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB107, constB108)) | (v95(constB108) <=> (~((~v96(constB108)) | (~v1(constB108))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB107, constB108)) | (v95(constB108) <=> (~((~v1(constB108)) | (~v96(constB108))))))),
% 8.02/5.59 inference(transitivity,[status(thm)],[4842, 4840])).
% 8.02/5.59 tff(4844,plain,
% 8.02/5.59 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB107, constB108)) | (v95(constB108) <=> (~((~v96(constB108)) | (~v1(constB108))))))),
% 8.02/5.59 inference(quant_inst,[status(thm)],[])).
% 8.02/5.59 tff(4845,plain,
% 8.02/5.59 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB107, constB108)) | (v95(constB108) <=> (~((~v1(constB108)) | (~v96(constB108)))))),
% 8.02/5.59 inference(modus_ponens,[status(thm)],[4844, 4843])).
% 8.02/5.59 tff(4846,plain,
% 8.02/5.59 (v95(constB108) <=> (~((~v1(constB108)) | (~v96(constB108))))),
% 8.02/5.59 inference(unit_resolution,[status(thm)],[4845, 4835, 795])).
% 8.02/5.59 tff(4847,plain,
% 8.02/5.59 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB107, constB108)) | ((~v96(constB108)) <=> v98(constB108)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB107, constB108)) | ((~v96(constB108)) <=> v98(constB108)))),
% 8.02/5.59 inference(rewrite,[status(thm)],[])).
% 8.02/5.59 tff(4848,plain,
% 8.02/5.59 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB107, constB108)) | ((~v96(constB108)) <=> v98(constB108)))),
% 8.02/5.59 inference(quant_inst,[status(thm)],[])).
% 8.02/5.59 tff(4849,plain,
% 8.02/5.59 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB107, constB108)) | ((~v96(constB108)) <=> v98(constB108))),
% 8.02/5.59 inference(modus_ponens,[status(thm)],[4848, 4847])).
% 8.02/5.59 tff(4850,plain,
% 8.02/5.59 ((~v96(constB108)) <=> v98(constB108)),
% 8.02/5.59 inference(unit_resolution,[status(thm)],[4849, 4835, 860])).
% 8.02/5.59 tff(4851,plain,
% 8.02/5.59 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB107, constB108)) | (v98(constB108) <=> v1(constB107)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB107, constB108)) | (v98(constB108) <=> v1(constB107)))),
% 8.02/5.59 inference(rewrite,[status(thm)],[])).
% 8.02/5.59 tff(4852,plain,
% 8.02/5.59 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB107, constB108)) | (v98(constB108) <=> v1(constB107)))),
% 8.02/5.59 inference(quant_inst,[status(thm)],[])).
% 8.02/5.59 tff(4853,plain,
% 8.02/5.59 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB107, constB108)) | (v98(constB108) <=> v1(constB107))),
% 8.02/5.59 inference(modus_ponens,[status(thm)],[4852, 4851])).
% 8.02/5.59 tff(4854,plain,
% 8.02/5.59 (v98(constB108) <=> v1(constB107)),
% 8.02/5.59 inference(unit_resolution,[status(thm)],[4853, 4835, 874])).
% 8.02/5.59 tff(4855,plain,
% 8.02/5.59 ((~v1(constB107)) <=> (~v1(constB107))),
% 8.02/5.59 inference(rewrite,[status(thm)],[])).
% 8.02/5.59 tff(4856,axiom,(~v1(constB107)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_107')).
% 8.02/5.59 tff(4857,plain,
% 8.02/5.59 (~v1(constB107)),
% 8.02/5.59 inference(modus_ponens,[status(thm)],[4856, 4855])).
% 8.02/5.59 tff(4858,plain,
% 8.02/5.59 ((~(v98(constB108) <=> v1(constB107))) | (~v98(constB108)) | v1(constB107)),
% 8.02/5.59 inference(tautology,[status(thm)],[])).
% 8.02/5.59 tff(4859,plain,
% 8.02/5.59 ((~(v98(constB108) <=> v1(constB107))) | (~v98(constB108))),
% 8.02/5.59 inference(unit_resolution,[status(thm)],[4858, 4857])).
% 8.02/5.59 tff(4860,plain,
% 8.02/5.59 (~v98(constB108)),
% 8.02/5.59 inference(unit_resolution,[status(thm)],[4859, 4854])).
% 8.02/5.59 tff(4861,plain,
% 8.02/5.59 ((~((~v96(constB108)) <=> v98(constB108))) | v96(constB108) | v98(constB108)),
% 8.02/5.59 inference(tautology,[status(thm)],[])).
% 8.02/5.59 tff(4862,plain,
% 8.02/5.59 (v96(constB108)),
% 8.02/5.59 inference(unit_resolution,[status(thm)],[4861, 4860, 4850])).
% 8.02/5.59 tff(4863,plain,
% 8.02/5.59 (v1(constB108) <=> v1(constB108)),
% 8.02/5.59 inference(rewrite,[status(thm)],[])).
% 8.02/5.59 tff(4864,axiom,(v1(constB108)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_108')).
% 8.02/5.59 tff(4865,plain,
% 8.02/5.59 (v1(constB108)),
% 8.02/5.59 inference(modus_ponens,[status(thm)],[4864, 4863])).
% 8.02/5.59 tff(4866,plain,
% 8.02/5.59 ((~((~v1(constB108)) | (~v96(constB108)))) | (~v1(constB108)) | (~v96(constB108))),
% 8.02/5.59 inference(tautology,[status(thm)],[])).
% 8.02/5.59 tff(4867,plain,
% 8.02/5.59 ((~((~v1(constB108)) | (~v96(constB108)))) | (~v96(constB108))),
% 8.02/5.59 inference(unit_resolution,[status(thm)],[4866, 4865])).
% 8.02/5.59 tff(4868,plain,
% 8.02/5.59 (~((~v1(constB108)) | (~v96(constB108)))),
% 8.02/5.59 inference(unit_resolution,[status(thm)],[4867, 4862])).
% 8.02/5.59 tff(4869,plain,
% 8.02/5.59 ((~(v95(constB108) <=> (~((~v1(constB108)) | (~v96(constB108)))))) | v95(constB108) | ((~v1(constB108)) | (~v96(constB108)))),
% 8.02/5.59 inference(tautology,[status(thm)],[])).
% 8.02/5.59 tff(4870,plain,
% 8.02/5.59 (v95(constB108)),
% 8.02/5.59 inference(unit_resolution,[status(thm)],[4869, 4868, 4846])).
% 8.02/5.59 tff(4871,plain,
% 8.02/5.59 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB107, constB108)) | (v104(constB108) <=> v102(constB107)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB107, constB108)) | (v104(constB108) <=> v102(constB107)))),
% 8.02/5.59 inference(rewrite,[status(thm)],[])).
% 8.02/5.59 tff(4872,plain,
% 8.02/5.59 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB107, constB108)) | (v104(constB108) <=> v102(constB107)))),
% 8.02/5.59 inference(quant_inst,[status(thm)],[])).
% 8.02/5.59 tff(4873,plain,
% 8.02/5.59 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB107, constB108)) | (v104(constB108) <=> v102(constB107))),
% 8.02/5.59 inference(modus_ponens,[status(thm)],[4872, 4871])).
% 8.02/5.59 tff(4874,plain,
% 8.02/5.59 (v104(constB108) <=> v102(constB107)),
% 8.02/5.59 inference(unit_resolution,[status(thm)],[4873, 4835, 904])).
% 8.02/5.59 tff(4875,plain,
% 8.02/5.59 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB107) <=> (v105(constB107) | v106(constB107)))),
% 8.02/5.59 inference(quant_inst,[status(thm)],[])).
% 8.02/5.59 tff(4876,plain,
% 8.02/5.59 (v102(constB107) <=> (v105(constB107) | v106(constB107))),
% 8.02/5.59 inference(unit_resolution,[status(thm)],[4875, 915])).
% 8.02/5.59 tff(4877,plain,
% 8.02/5.59 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB107) <=> (~((~v107(constB107)) | (~v120(constB107)))))),
% 8.02/5.59 inference(quant_inst,[status(thm)],[])).
% 8.02/5.59 tff(4878,plain,
% 8.02/5.59 (v106(constB107) <=> (~((~v107(constB107)) | (~v120(constB107))))),
% 8.02/5.59 inference(unit_resolution,[status(thm)],[4877, 927])).
% 8.02/5.59 tff(4879,plain,
% 8.02/5.59 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB107) <=> (v108(constB107) | v119(constB107)))),
% 8.02/5.59 inference(quant_inst,[status(thm)],[])).
% 8.02/5.59 tff(4880,plain,
% 8.02/5.59 (v107(constB107) <=> (v108(constB107) | v119(constB107))),
% 8.02/5.59 inference(unit_resolution,[status(thm)],[4879, 936])).
% 8.02/5.59 tff(4881,plain,
% 8.02/5.59 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB107) <=> (v109(constB107) | v118(constB107)))),
% 8.02/5.59 inference(quant_inst,[status(thm)],[])).
% 8.02/5.59 tff(4882,plain,
% 8.02/5.59 (v108(constB107) <=> (v109(constB107) | v118(constB107))),
% 8.02/5.59 inference(unit_resolution,[status(thm)],[4881, 945])).
% 8.02/5.59 tff(4883,plain,
% 8.02/5.59 (((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB107) <=> (~((~v84(constB107, bitIndex2)) | v84(constB107, bitIndex1) | (~v84(constB107, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB107) <=> (~((~v84(constB107, bitIndex2)) | v84(constB107, bitIndex1) | (~v84(constB107, bitIndex0))))))),
% 8.02/5.59 inference(rewrite,[status(thm)],[])).
% 8.02/5.59 tff(4884,plain,
% 8.02/5.59 ((v118(constB107) <=> (~(v84(constB107, bitIndex1) | (~v84(constB107, bitIndex0)) | (~v84(constB107, bitIndex2))))) <=> (v118(constB107) <=> (~((~v84(constB107, bitIndex2)) | v84(constB107, bitIndex1) | (~v84(constB107, bitIndex0)))))),
% 8.02/5.59 inference(rewrite,[status(thm)],[])).
% 8.02/5.59 tff(4885,plain,
% 8.02/5.59 (((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB107) <=> (~(v84(constB107, bitIndex1) | (~v84(constB107, bitIndex0)) | (~v84(constB107, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB107) <=> (~((~v84(constB107, bitIndex2)) | v84(constB107, bitIndex1) | (~v84(constB107, bitIndex0))))))),
% 8.02/5.59 inference(monotonicity,[status(thm)],[4884])).
% 8.02/5.59 tff(4886,plain,
% 8.02/5.59 (((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB107) <=> (~(v84(constB107, bitIndex1) | (~v84(constB107, bitIndex0)) | (~v84(constB107, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB107) <=> (~((~v84(constB107, bitIndex2)) | v84(constB107, bitIndex1) | (~v84(constB107, bitIndex0))))))),
% 8.02/5.59 inference(transitivity,[status(thm)],[4885, 4883])).
% 8.02/5.59 tff(4887,plain,
% 8.02/5.59 ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB107) <=> (~(v84(constB107, bitIndex1) | (~v84(constB107, bitIndex0)) | (~v84(constB107, bitIndex2)))))),
% 8.02/5.59 inference(quant_inst,[status(thm)],[])).
% 8.02/5.59 tff(4888,plain,
% 8.02/5.59 ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB107) <=> (~((~v84(constB107, bitIndex2)) | v84(constB107, bitIndex1) | (~v84(constB107, bitIndex0)))))),
% 8.02/5.59 inference(modus_ponens,[status(thm)],[4887, 4886])).
% 8.02/5.59 tff(4889,plain,
% 8.02/5.59 (v118(constB107) <=> (~((~v84(constB107, bitIndex2)) | v84(constB107, bitIndex1) | (~v84(constB107, bitIndex0))))),
% 8.02/5.59 inference(unit_resolution,[status(thm)],[4888, 960])).
% 8.02/5.59 tff(4890,plain,
% 8.02/5.59 (nextState(constB106, constB107) <=> nextState(constB106, constB107)),
% 8.02/5.59 inference(rewrite,[status(thm)],[])).
% 8.02/5.59 tff(4891,axiom,(nextState(constB106, constB107)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_106')).
% 8.02/5.59 tff(4892,plain,
% 8.02/5.59 (nextState(constB106, constB107)),
% 8.02/5.59 inference(modus_ponens,[status(thm)],[4891, 4890])).
% 8.02/5.59 tff(4893,plain,
% 8.02/5.59 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB106, constB107)) | (v94(constB107) <=> (~((~v104(constB107)) | (~v95(constB107))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB106, constB107)) | (v94(constB107) <=> (~((~v104(constB107)) | (~v95(constB107))))))),
% 8.02/5.59 inference(rewrite,[status(thm)],[])).
% 8.02/5.59 tff(4894,plain,
% 8.02/5.59 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB106, constB107)) | (v94(constB107) <=> (~((~v104(constB107)) | (~v95(constB107))))))),
% 8.02/5.59 inference(quant_inst,[status(thm)],[])).
% 8.02/5.59 tff(4895,plain,
% 8.02/5.59 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB106, constB107)) | (v94(constB107) <=> (~((~v104(constB107)) | (~v95(constB107)))))),
% 8.02/5.59 inference(modus_ponens,[status(thm)],[4894, 4893])).
% 8.02/5.59 tff(4896,plain,
% 8.02/5.59 (v94(constB107) <=> (~((~v104(constB107)) | (~v95(constB107))))),
% 8.02/5.59 inference(unit_resolution,[status(thm)],[4895, 4892, 775])).
% 8.02/5.59 tff(4897,plain,
% 8.02/5.59 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB106, constB107)) | (v95(constB107) <=> (~((~v1(constB107)) | (~v96(constB107))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB106, constB107)) | (v95(constB107) <=> (~((~v1(constB107)) | (~v96(constB107))))))),
% 8.02/5.59 inference(rewrite,[status(thm)],[])).
% 8.02/5.59 tff(4898,plain,
% 8.02/5.59 (((~nextState(constB106, constB107)) | (v95(constB107) <=> (~((~v96(constB107)) | (~v1(constB107)))))) <=> ((~nextState(constB106, constB107)) | (v95(constB107) <=> (~((~v1(constB107)) | (~v96(constB107))))))),
% 8.02/5.59 inference(rewrite,[status(thm)],[])).
% 8.02/5.59 tff(4899,plain,
% 8.02/5.59 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB106, constB107)) | (v95(constB107) <=> (~((~v96(constB107)) | (~v1(constB107))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB106, constB107)) | (v95(constB107) <=> (~((~v1(constB107)) | (~v96(constB107)))))))),
% 8.02/5.59 inference(monotonicity,[status(thm)],[4898])).
% 8.02/5.59 tff(4900,plain,
% 8.02/5.59 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB106, constB107)) | (v95(constB107) <=> (~((~v96(constB107)) | (~v1(constB107))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB106, constB107)) | (v95(constB107) <=> (~((~v1(constB107)) | (~v96(constB107))))))),
% 8.02/5.59 inference(transitivity,[status(thm)],[4899, 4897])).
% 8.02/5.59 tff(4901,plain,
% 8.02/5.59 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB106, constB107)) | (v95(constB107) <=> (~((~v96(constB107)) | (~v1(constB107))))))),
% 8.02/5.59 inference(quant_inst,[status(thm)],[])).
% 8.02/5.59 tff(4902,plain,
% 8.02/5.59 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB106, constB107)) | (v95(constB107) <=> (~((~v1(constB107)) | (~v96(constB107)))))),
% 8.02/5.59 inference(modus_ponens,[status(thm)],[4901, 4900])).
% 8.02/5.59 tff(4903,plain,
% 8.02/5.59 (v95(constB107) <=> (~((~v1(constB107)) | (~v96(constB107))))),
% 8.02/5.59 inference(unit_resolution,[status(thm)],[4902, 4892, 795])).
% 8.02/5.59 tff(4904,plain,
% 8.02/5.59 (((~v1(constB107)) | (~v96(constB107))) | v1(constB107)),
% 8.02/5.59 inference(tautology,[status(thm)],[])).
% 8.02/5.59 tff(4905,plain,
% 8.02/5.59 ((~v1(constB107)) | (~v96(constB107))),
% 8.02/5.59 inference(unit_resolution,[status(thm)],[4904, 4857])).
% 8.02/5.59 tff(4906,plain,
% 8.02/5.59 ((~(v95(constB107) <=> (~((~v1(constB107)) | (~v96(constB107)))))) | (~v95(constB107)) | (~((~v1(constB107)) | (~v96(constB107))))),
% 8.02/5.59 inference(tautology,[status(thm)],[])).
% 8.02/5.59 tff(4907,plain,
% 8.02/5.59 ((~(v95(constB107) <=> (~((~v1(constB107)) | (~v96(constB107)))))) | (~v95(constB107))),
% 8.02/5.59 inference(unit_resolution,[status(thm)],[4906, 4905])).
% 8.02/5.59 tff(4908,plain,
% 8.02/5.59 (~v95(constB107)),
% 8.02/5.59 inference(unit_resolution,[status(thm)],[4907, 4903])).
% 8.02/5.59 tff(4909,plain,
% 8.02/5.59 (((~v104(constB107)) | (~v95(constB107))) | v95(constB107)),
% 8.02/5.59 inference(tautology,[status(thm)],[])).
% 8.02/5.59 tff(4910,plain,
% 8.02/5.59 ((~v104(constB107)) | (~v95(constB107))),
% 8.02/5.59 inference(unit_resolution,[status(thm)],[4909, 4908])).
% 8.02/5.59 tff(4911,plain,
% 8.02/5.59 ((~(v94(constB107) <=> (~((~v104(constB107)) | (~v95(constB107)))))) | (~v94(constB107)) | (~((~v104(constB107)) | (~v95(constB107))))),
% 8.02/5.59 inference(tautology,[status(thm)],[])).
% 8.02/5.59 tff(4912,plain,
% 8.02/5.59 (~v94(constB107)),
% 8.02/5.59 inference(unit_resolution,[status(thm)],[4911, 4910, 4896])).
% 8.02/5.59 tff(4913,plain,
% 8.02/5.59 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB107) | (~nextState(constB106, constB107)) | ![B: $i] : ((~less_3(B)) | (v84(constB107, B) <=> v84(constB106, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB107) | (~nextState(constB106, constB107)) | ![B: $i] : ((~less_3(B)) | (v84(constB107, B) <=> v84(constB106, B))))),
% 8.02/5.59 inference(rewrite,[status(thm)],[])).
% 8.02/5.59 tff(4914,plain,
% 8.02/5.59 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB107) | (~nextState(constB106, constB107)) | ![B: $i] : ((~less_3(B)) | (v84(constB107, B) <=> v84(constB106, B))))),
% 8.02/5.59 inference(quant_inst,[status(thm)],[])).
% 8.02/5.59 tff(4915,plain,
% 8.02/5.59 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB107) | (~nextState(constB106, constB107)) | ![B: $i] : ((~less_3(B)) | (v84(constB107, B) <=> v84(constB106, B)))),
% 8.02/5.59 inference(modus_ponens,[status(thm)],[4914, 4913])).
% 8.02/5.59 tff(4916,plain,
% 8.02/5.59 (v94(constB107) | ![B: $i] : ((~less_3(B)) | (v84(constB107, B) <=> v84(constB106, B)))),
% 8.02/5.59 inference(unit_resolution,[status(thm)],[4915, 4892, 824])).
% 8.02/5.59 tff(4917,plain,
% 8.02/5.59 (![B: $i] : ((~less_3(B)) | (v84(constB107, B) <=> v84(constB106, B)))),
% 8.02/5.59 inference(unit_resolution,[status(thm)],[4916, 4912])).
% 8.02/5.59 tff(4918,plain,
% 8.02/5.59 (((~![B: $i] : ((~less_3(B)) | (v84(constB107, B) <=> v84(constB106, B)))) | ((~less_3(bitIndex2)) | (v84(constB107, bitIndex2) <=> v84(constB106, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB107, B) <=> v84(constB106, B)))) | (~less_3(bitIndex2)) | (v84(constB107, bitIndex2) <=> v84(constB106, bitIndex2)))),
% 8.02/5.59 inference(rewrite,[status(thm)],[])).
% 8.02/5.59 tff(4919,plain,
% 8.02/5.59 ((~![B: $i] : ((~less_3(B)) | (v84(constB107, B) <=> v84(constB106, B)))) | ((~less_3(bitIndex2)) | (v84(constB107, bitIndex2) <=> v84(constB106, bitIndex2)))),
% 8.02/5.59 inference(quant_inst,[status(thm)],[])).
% 8.02/5.59 tff(4920,plain,
% 8.02/5.59 ((~![B: $i] : ((~less_3(B)) | (v84(constB107, B) <=> v84(constB106, B)))) | (~less_3(bitIndex2)) | (v84(constB107, bitIndex2) <=> v84(constB106, bitIndex2))),
% 8.02/5.59 inference(modus_ponens,[status(thm)],[4919, 4918])).
% 8.02/5.59 tff(4921,plain,
% 8.02/5.59 (v84(constB107, bitIndex2) <=> v84(constB106, bitIndex2)),
% 8.02/5.59 inference(unit_resolution,[status(thm)],[4920, 832, 4917])).
% 8.02/5.59 tff(4922,plain,
% 8.02/5.59 (nextState(constB105, constB106) <=> nextState(constB105, constB106)),
% 8.02/5.59 inference(rewrite,[status(thm)],[])).
% 8.02/5.59 tff(4923,axiom,(nextState(constB105, constB106)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_105')).
% 8.02/5.59 tff(4924,plain,
% 8.02/5.59 (nextState(constB105, constB106)),
% 8.02/5.59 inference(modus_ponens,[status(thm)],[4923, 4922])).
% 8.02/5.59 tff(4925,plain,
% 8.02/5.59 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB105, constB106)) | (v94(constB106) <=> (~((~v104(constB106)) | (~v95(constB106))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB105, constB106)) | (v94(constB106) <=> (~((~v104(constB106)) | (~v95(constB106))))))),
% 8.02/5.59 inference(rewrite,[status(thm)],[])).
% 8.02/5.59 tff(4926,plain,
% 8.02/5.59 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB105, constB106)) | (v94(constB106) <=> (~((~v104(constB106)) | (~v95(constB106))))))),
% 8.02/5.59 inference(quant_inst,[status(thm)],[])).
% 8.02/5.59 tff(4927,plain,
% 8.02/5.59 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB105, constB106)) | (v94(constB106) <=> (~((~v104(constB106)) | (~v95(constB106)))))),
% 8.02/5.59 inference(modus_ponens,[status(thm)],[4926, 4925])).
% 8.02/5.59 tff(4928,plain,
% 8.02/5.59 (v94(constB106) <=> (~((~v104(constB106)) | (~v95(constB106))))),
% 8.02/5.59 inference(unit_resolution,[status(thm)],[4927, 4924, 775])).
% 8.02/5.59 tff(4929,plain,
% 8.02/5.59 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB105, constB106)) | (v95(constB106) <=> (~((~v1(constB106)) | (~v96(constB106))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB105, constB106)) | (v95(constB106) <=> (~((~v1(constB106)) | (~v96(constB106))))))),
% 8.02/5.59 inference(rewrite,[status(thm)],[])).
% 8.02/5.59 tff(4930,plain,
% 8.02/5.59 (((~nextState(constB105, constB106)) | (v95(constB106) <=> (~((~v96(constB106)) | (~v1(constB106)))))) <=> ((~nextState(constB105, constB106)) | (v95(constB106) <=> (~((~v1(constB106)) | (~v96(constB106))))))),
% 8.02/5.59 inference(rewrite,[status(thm)],[])).
% 8.02/5.59 tff(4931,plain,
% 8.02/5.59 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB105, constB106)) | (v95(constB106) <=> (~((~v96(constB106)) | (~v1(constB106))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB105, constB106)) | (v95(constB106) <=> (~((~v1(constB106)) | (~v96(constB106)))))))),
% 8.02/5.59 inference(monotonicity,[status(thm)],[4930])).
% 8.02/5.59 tff(4932,plain,
% 8.02/5.59 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB105, constB106)) | (v95(constB106) <=> (~((~v96(constB106)) | (~v1(constB106))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB105, constB106)) | (v95(constB106) <=> (~((~v1(constB106)) | (~v96(constB106))))))),
% 8.02/5.59 inference(transitivity,[status(thm)],[4931, 4929])).
% 8.02/5.59 tff(4933,plain,
% 8.02/5.59 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB105, constB106)) | (v95(constB106) <=> (~((~v96(constB106)) | (~v1(constB106))))))),
% 8.02/5.59 inference(quant_inst,[status(thm)],[])).
% 8.02/5.59 tff(4934,plain,
% 8.02/5.59 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB105, constB106)) | (v95(constB106) <=> (~((~v1(constB106)) | (~v96(constB106)))))),
% 8.02/5.59 inference(modus_ponens,[status(thm)],[4933, 4932])).
% 8.02/5.59 tff(4935,plain,
% 8.02/5.59 (v95(constB106) <=> (~((~v1(constB106)) | (~v96(constB106))))),
% 8.02/5.59 inference(unit_resolution,[status(thm)],[4934, 4924, 795])).
% 8.02/5.59 tff(4936,plain,
% 8.02/5.59 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB105, constB106)) | ((~v96(constB106)) <=> v98(constB106)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB105, constB106)) | ((~v96(constB106)) <=> v98(constB106)))),
% 8.02/5.59 inference(rewrite,[status(thm)],[])).
% 8.02/5.59 tff(4937,plain,
% 8.02/5.59 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB105, constB106)) | ((~v96(constB106)) <=> v98(constB106)))),
% 8.02/5.59 inference(quant_inst,[status(thm)],[])).
% 8.02/5.59 tff(4938,plain,
% 8.02/5.59 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB105, constB106)) | ((~v96(constB106)) <=> v98(constB106))),
% 8.02/5.59 inference(modus_ponens,[status(thm)],[4937, 4936])).
% 8.02/5.59 tff(4939,plain,
% 8.02/5.59 ((~v96(constB106)) <=> v98(constB106)),
% 8.02/5.59 inference(unit_resolution,[status(thm)],[4938, 4924, 860])).
% 8.02/5.59 tff(4940,plain,
% 8.02/5.59 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB105, constB106)) | (v98(constB106) <=> v1(constB105)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB105, constB106)) | (v98(constB106) <=> v1(constB105)))),
% 8.02/5.59 inference(rewrite,[status(thm)],[])).
% 8.02/5.59 tff(4941,plain,
% 8.02/5.59 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB105, constB106)) | (v98(constB106) <=> v1(constB105)))),
% 8.02/5.59 inference(quant_inst,[status(thm)],[])).
% 8.02/5.59 tff(4942,plain,
% 8.02/5.59 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB105, constB106)) | (v98(constB106) <=> v1(constB105))),
% 8.02/5.59 inference(modus_ponens,[status(thm)],[4941, 4940])).
% 8.02/5.59 tff(4943,plain,
% 8.02/5.59 (v98(constB106) <=> v1(constB105)),
% 8.02/5.59 inference(unit_resolution,[status(thm)],[4942, 4924, 874])).
% 8.02/5.59 tff(4944,plain,
% 8.02/5.59 ((~v1(constB105)) <=> (~v1(constB105))),
% 8.02/5.59 inference(rewrite,[status(thm)],[])).
% 8.02/5.59 tff(4945,axiom,(~v1(constB105)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_105')).
% 8.02/5.59 tff(4946,plain,
% 8.02/5.59 (~v1(constB105)),
% 8.02/5.59 inference(modus_ponens,[status(thm)],[4945, 4944])).
% 8.02/5.59 tff(4947,plain,
% 8.02/5.59 ((~(v98(constB106) <=> v1(constB105))) | (~v98(constB106)) | v1(constB105)),
% 8.02/5.59 inference(tautology,[status(thm)],[])).
% 8.02/5.59 tff(4948,plain,
% 8.02/5.59 ((~(v98(constB106) <=> v1(constB105))) | (~v98(constB106))),
% 8.02/5.59 inference(unit_resolution,[status(thm)],[4947, 4946])).
% 8.02/5.59 tff(4949,plain,
% 8.02/5.59 (~v98(constB106)),
% 8.02/5.59 inference(unit_resolution,[status(thm)],[4948, 4943])).
% 8.02/5.59 tff(4950,plain,
% 8.02/5.59 ((~((~v96(constB106)) <=> v98(constB106))) | v96(constB106) | v98(constB106)),
% 8.02/5.59 inference(tautology,[status(thm)],[])).
% 8.02/5.59 tff(4951,plain,
% 8.02/5.59 (v96(constB106)),
% 8.02/5.59 inference(unit_resolution,[status(thm)],[4950, 4949, 4939])).
% 8.02/5.59 tff(4952,plain,
% 8.02/5.59 (v1(constB106) <=> v1(constB106)),
% 8.02/5.59 inference(rewrite,[status(thm)],[])).
% 8.02/5.59 tff(4953,axiom,(v1(constB106)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_106')).
% 8.02/5.59 tff(4954,plain,
% 8.02/5.59 (v1(constB106)),
% 8.02/5.59 inference(modus_ponens,[status(thm)],[4953, 4952])).
% 8.02/5.59 tff(4955,plain,
% 8.02/5.59 ((~((~v1(constB106)) | (~v96(constB106)))) | (~v1(constB106)) | (~v96(constB106))),
% 8.02/5.59 inference(tautology,[status(thm)],[])).
% 8.02/5.59 tff(4956,plain,
% 8.02/5.59 ((~((~v1(constB106)) | (~v96(constB106)))) | (~v96(constB106))),
% 8.02/5.59 inference(unit_resolution,[status(thm)],[4955, 4954])).
% 8.02/5.59 tff(4957,plain,
% 8.02/5.59 (~((~v1(constB106)) | (~v96(constB106)))),
% 8.02/5.59 inference(unit_resolution,[status(thm)],[4956, 4951])).
% 8.02/5.59 tff(4958,plain,
% 8.02/5.59 ((~(v95(constB106) <=> (~((~v1(constB106)) | (~v96(constB106)))))) | v95(constB106) | ((~v1(constB106)) | (~v96(constB106)))),
% 8.02/5.59 inference(tautology,[status(thm)],[])).
% 8.02/5.59 tff(4959,plain,
% 8.02/5.59 (v95(constB106)),
% 8.02/5.59 inference(unit_resolution,[status(thm)],[4958, 4957, 4935])).
% 8.02/5.59 tff(4960,plain,
% 8.02/5.59 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB105, constB106)) | (v104(constB106) <=> v102(constB105)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB105, constB106)) | (v104(constB106) <=> v102(constB105)))),
% 8.02/5.59 inference(rewrite,[status(thm)],[])).
% 8.02/5.59 tff(4961,plain,
% 8.02/5.60 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB105, constB106)) | (v104(constB106) <=> v102(constB105)))),
% 8.02/5.60 inference(quant_inst,[status(thm)],[])).
% 8.02/5.60 tff(4962,plain,
% 8.02/5.60 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB105, constB106)) | (v104(constB106) <=> v102(constB105))),
% 8.02/5.60 inference(modus_ponens,[status(thm)],[4961, 4960])).
% 8.02/5.60 tff(4963,plain,
% 8.02/5.60 (v104(constB106) <=> v102(constB105)),
% 8.02/5.60 inference(unit_resolution,[status(thm)],[4962, 4924, 904])).
% 8.02/5.60 tff(4964,plain,
% 8.02/5.60 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB105) <=> (v105(constB105) | v106(constB105)))),
% 8.02/5.60 inference(quant_inst,[status(thm)],[])).
% 8.02/5.60 tff(4965,plain,
% 8.02/5.60 (v102(constB105) <=> (v105(constB105) | v106(constB105))),
% 8.02/5.60 inference(unit_resolution,[status(thm)],[4964, 915])).
% 8.02/5.60 tff(4966,plain,
% 8.02/5.60 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB105) <=> (~((~v107(constB105)) | (~v120(constB105)))))),
% 8.02/5.60 inference(quant_inst,[status(thm)],[])).
% 8.02/5.60 tff(4967,plain,
% 8.02/5.60 (v106(constB105) <=> (~((~v107(constB105)) | (~v120(constB105))))),
% 8.02/5.60 inference(unit_resolution,[status(thm)],[4966, 927])).
% 8.02/5.60 tff(4968,plain,
% 8.02/5.60 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB105) <=> (v108(constB105) | v119(constB105)))),
% 8.02/5.60 inference(quant_inst,[status(thm)],[])).
% 8.02/5.60 tff(4969,plain,
% 8.02/5.60 (v107(constB105) <=> (v108(constB105) | v119(constB105))),
% 8.02/5.60 inference(unit_resolution,[status(thm)],[4968, 936])).
% 8.02/5.60 tff(4970,plain,
% 8.02/5.60 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB105) <=> (v109(constB105) | v118(constB105)))),
% 8.02/5.60 inference(quant_inst,[status(thm)],[])).
% 8.02/5.60 tff(4971,plain,
% 8.02/5.60 (v108(constB105) <=> (v109(constB105) | v118(constB105))),
% 8.02/5.60 inference(unit_resolution,[status(thm)],[4970, 945])).
% 8.02/5.60 tff(4972,plain,
% 8.02/5.60 ((~![VarCurr: $i] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB105) <=> (v110(constB105) | v117(constB105)))),
% 8.02/5.60 inference(quant_inst,[status(thm)],[])).
% 8.02/5.60 tff(4973,plain,
% 8.02/5.60 (v109(constB105) <=> (v110(constB105) | v117(constB105))),
% 8.02/5.60 inference(unit_resolution,[status(thm)],[4972, 1056])).
% 8.02/5.60 tff(4974,plain,
% 8.02/5.60 (((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB105) <=> (~((~v84(constB105, bitIndex2)) | v84(constB105, bitIndex1) | v84(constB105, bitIndex0))))) <=> ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB105) <=> (~((~v84(constB105, bitIndex2)) | v84(constB105, bitIndex1) | v84(constB105, bitIndex0)))))),
% 8.02/5.60 inference(rewrite,[status(thm)],[])).
% 8.02/5.60 tff(4975,plain,
% 8.02/5.60 ((v117(constB105) <=> (~(v84(constB105, bitIndex0) | v84(constB105, bitIndex1) | (~v84(constB105, bitIndex2))))) <=> (v117(constB105) <=> (~((~v84(constB105, bitIndex2)) | v84(constB105, bitIndex1) | v84(constB105, bitIndex0))))),
% 8.02/5.60 inference(rewrite,[status(thm)],[])).
% 8.02/5.60 tff(4976,plain,
% 8.02/5.60 (((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB105) <=> (~(v84(constB105, bitIndex0) | v84(constB105, bitIndex1) | (~v84(constB105, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB105) <=> (~((~v84(constB105, bitIndex2)) | v84(constB105, bitIndex1) | v84(constB105, bitIndex0)))))),
% 8.02/5.60 inference(monotonicity,[status(thm)],[4975])).
% 8.02/5.60 tff(4977,plain,
% 8.02/5.60 (((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB105) <=> (~(v84(constB105, bitIndex0) | v84(constB105, bitIndex1) | (~v84(constB105, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB105) <=> (~((~v84(constB105, bitIndex2)) | v84(constB105, bitIndex1) | v84(constB105, bitIndex0)))))),
% 8.02/5.60 inference(transitivity,[status(thm)],[4976, 4974])).
% 8.02/5.60 tff(4978,plain,
% 8.02/5.60 ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB105) <=> (~(v84(constB105, bitIndex0) | v84(constB105, bitIndex1) | (~v84(constB105, bitIndex2)))))),
% 8.02/5.60 inference(quant_inst,[status(thm)],[])).
% 8.02/5.60 tff(4979,plain,
% 8.02/5.60 ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB105) <=> (~((~v84(constB105, bitIndex2)) | v84(constB105, bitIndex1) | v84(constB105, bitIndex0))))),
% 8.02/5.60 inference(modus_ponens,[status(thm)],[4978, 4977])).
% 8.02/5.60 tff(4980,plain,
% 8.02/5.60 (v117(constB105) <=> (~((~v84(constB105, bitIndex2)) | v84(constB105, bitIndex1) | v84(constB105, bitIndex0)))),
% 8.02/5.60 inference(unit_resolution,[status(thm)],[4979, 1071])).
% 8.02/5.60 tff(4981,plain,
% 8.02/5.60 (nextState(constB104, constB105) <=> nextState(constB104, constB105)),
% 8.02/5.60 inference(rewrite,[status(thm)],[])).
% 8.02/5.60 tff(4982,axiom,(nextState(constB104, constB105)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_104')).
% 8.02/5.60 tff(4983,plain,
% 8.02/5.60 (nextState(constB104, constB105)),
% 8.02/5.60 inference(modus_ponens,[status(thm)],[4982, 4981])).
% 8.02/5.60 tff(4984,plain,
% 8.02/5.60 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB104, constB105)) | (v94(constB105) <=> (~((~v104(constB105)) | (~v95(constB105))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB104, constB105)) | (v94(constB105) <=> (~((~v104(constB105)) | (~v95(constB105))))))),
% 8.02/5.60 inference(rewrite,[status(thm)],[])).
% 8.02/5.60 tff(4985,plain,
% 8.02/5.60 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB104, constB105)) | (v94(constB105) <=> (~((~v104(constB105)) | (~v95(constB105))))))),
% 8.02/5.60 inference(quant_inst,[status(thm)],[])).
% 8.02/5.60 tff(4986,plain,
% 8.02/5.60 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB104, constB105)) | (v94(constB105) <=> (~((~v104(constB105)) | (~v95(constB105)))))),
% 8.02/5.60 inference(modus_ponens,[status(thm)],[4985, 4984])).
% 8.02/5.60 tff(4987,plain,
% 8.02/5.60 (v94(constB105) <=> (~((~v104(constB105)) | (~v95(constB105))))),
% 8.02/5.60 inference(unit_resolution,[status(thm)],[4986, 4983, 775])).
% 8.02/5.60 tff(4988,plain,
% 8.02/5.60 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB104, constB105)) | (v95(constB105) <=> (~((~v1(constB105)) | (~v96(constB105))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB104, constB105)) | (v95(constB105) <=> (~((~v1(constB105)) | (~v96(constB105))))))),
% 8.02/5.60 inference(rewrite,[status(thm)],[])).
% 8.02/5.60 tff(4989,plain,
% 8.02/5.60 (((~nextState(constB104, constB105)) | (v95(constB105) <=> (~((~v96(constB105)) | (~v1(constB105)))))) <=> ((~nextState(constB104, constB105)) | (v95(constB105) <=> (~((~v1(constB105)) | (~v96(constB105))))))),
% 8.02/5.60 inference(rewrite,[status(thm)],[])).
% 8.02/5.60 tff(4990,plain,
% 8.02/5.60 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB104, constB105)) | (v95(constB105) <=> (~((~v96(constB105)) | (~v1(constB105))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB104, constB105)) | (v95(constB105) <=> (~((~v1(constB105)) | (~v96(constB105)))))))),
% 8.02/5.60 inference(monotonicity,[status(thm)],[4989])).
% 8.02/5.60 tff(4991,plain,
% 8.02/5.60 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB104, constB105)) | (v95(constB105) <=> (~((~v96(constB105)) | (~v1(constB105))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB104, constB105)) | (v95(constB105) <=> (~((~v1(constB105)) | (~v96(constB105))))))),
% 8.02/5.60 inference(transitivity,[status(thm)],[4990, 4988])).
% 8.02/5.60 tff(4992,plain,
% 8.02/5.60 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB104, constB105)) | (v95(constB105) <=> (~((~v96(constB105)) | (~v1(constB105))))))),
% 8.02/5.60 inference(quant_inst,[status(thm)],[])).
% 8.02/5.60 tff(4993,plain,
% 8.02/5.60 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB104, constB105)) | (v95(constB105) <=> (~((~v1(constB105)) | (~v96(constB105)))))),
% 8.02/5.60 inference(modus_ponens,[status(thm)],[4992, 4991])).
% 8.02/5.60 tff(4994,plain,
% 8.02/5.60 (v95(constB105) <=> (~((~v1(constB105)) | (~v96(constB105))))),
% 8.02/5.60 inference(unit_resolution,[status(thm)],[4993, 4983, 795])).
% 8.02/5.60 tff(4995,plain,
% 8.02/5.60 (((~v1(constB105)) | (~v96(constB105))) | v1(constB105)),
% 8.02/5.60 inference(tautology,[status(thm)],[])).
% 8.02/5.60 tff(4996,plain,
% 8.02/5.60 ((~v1(constB105)) | (~v96(constB105))),
% 8.02/5.60 inference(unit_resolution,[status(thm)],[4995, 4946])).
% 8.02/5.60 tff(4997,plain,
% 8.02/5.60 ((~(v95(constB105) <=> (~((~v1(constB105)) | (~v96(constB105)))))) | (~v95(constB105)) | (~((~v1(constB105)) | (~v96(constB105))))),
% 8.02/5.60 inference(tautology,[status(thm)],[])).
% 8.02/5.60 tff(4998,plain,
% 8.02/5.60 ((~(v95(constB105) <=> (~((~v1(constB105)) | (~v96(constB105)))))) | (~v95(constB105))),
% 8.02/5.60 inference(unit_resolution,[status(thm)],[4997, 4996])).
% 8.02/5.60 tff(4999,plain,
% 8.02/5.60 (~v95(constB105)),
% 8.02/5.60 inference(unit_resolution,[status(thm)],[4998, 4994])).
% 8.02/5.60 tff(5000,plain,
% 8.02/5.60 (((~v104(constB105)) | (~v95(constB105))) | v95(constB105)),
% 8.02/5.60 inference(tautology,[status(thm)],[])).
% 8.02/5.60 tff(5001,plain,
% 8.02/5.60 ((~v104(constB105)) | (~v95(constB105))),
% 8.02/5.60 inference(unit_resolution,[status(thm)],[5000, 4999])).
% 8.02/5.60 tff(5002,plain,
% 8.02/5.60 ((~(v94(constB105) <=> (~((~v104(constB105)) | (~v95(constB105)))))) | (~v94(constB105)) | (~((~v104(constB105)) | (~v95(constB105))))),
% 8.02/5.60 inference(tautology,[status(thm)],[])).
% 8.02/5.60 tff(5003,plain,
% 8.02/5.60 (~v94(constB105)),
% 8.02/5.60 inference(unit_resolution,[status(thm)],[5002, 5001, 4987])).
% 8.02/5.60 tff(5004,plain,
% 8.02/5.60 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB105) | (~nextState(constB104, constB105)) | ![B: $i] : ((~less_3(B)) | (v84(constB105, B) <=> v84(constB104, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB105) | (~nextState(constB104, constB105)) | ![B: $i] : ((~less_3(B)) | (v84(constB105, B) <=> v84(constB104, B))))),
% 8.02/5.60 inference(rewrite,[status(thm)],[])).
% 8.02/5.60 tff(5005,plain,
% 8.02/5.60 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB105) | (~nextState(constB104, constB105)) | ![B: $i] : ((~less_3(B)) | (v84(constB105, B) <=> v84(constB104, B))))),
% 8.02/5.60 inference(quant_inst,[status(thm)],[])).
% 8.02/5.60 tff(5006,plain,
% 8.02/5.60 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB105) | (~nextState(constB104, constB105)) | ![B: $i] : ((~less_3(B)) | (v84(constB105, B) <=> v84(constB104, B)))),
% 8.02/5.60 inference(modus_ponens,[status(thm)],[5005, 5004])).
% 8.02/5.60 tff(5007,plain,
% 8.02/5.60 (v94(constB105) | ![B: $i] : ((~less_3(B)) | (v84(constB105, B) <=> v84(constB104, B)))),
% 8.02/5.60 inference(unit_resolution,[status(thm)],[5006, 4983, 824])).
% 8.02/5.60 tff(5008,plain,
% 8.02/5.60 (![B: $i] : ((~less_3(B)) | (v84(constB105, B) <=> v84(constB104, B)))),
% 8.02/5.60 inference(unit_resolution,[status(thm)],[5007, 5003])).
% 8.02/5.60 tff(5009,plain,
% 8.02/5.60 (((~![B: $i] : ((~less_3(B)) | (v84(constB105, B) <=> v84(constB104, B)))) | ((~less_3(bitIndex2)) | (v84(constB105, bitIndex2) <=> v84(constB104, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB105, B) <=> v84(constB104, B)))) | (~less_3(bitIndex2)) | (v84(constB105, bitIndex2) <=> v84(constB104, bitIndex2)))),
% 8.02/5.60 inference(rewrite,[status(thm)],[])).
% 8.02/5.60 tff(5010,plain,
% 8.02/5.60 ((~![B: $i] : ((~less_3(B)) | (v84(constB105, B) <=> v84(constB104, B)))) | ((~less_3(bitIndex2)) | (v84(constB105, bitIndex2) <=> v84(constB104, bitIndex2)))),
% 8.02/5.60 inference(quant_inst,[status(thm)],[])).
% 8.02/5.60 tff(5011,plain,
% 8.02/5.60 ((~![B: $i] : ((~less_3(B)) | (v84(constB105, B) <=> v84(constB104, B)))) | (~less_3(bitIndex2)) | (v84(constB105, bitIndex2) <=> v84(constB104, bitIndex2))),
% 8.02/5.60 inference(modus_ponens,[status(thm)],[5010, 5009])).
% 8.02/5.60 tff(5012,plain,
% 8.02/5.60 (v84(constB105, bitIndex2) <=> v84(constB104, bitIndex2)),
% 8.02/5.60 inference(unit_resolution,[status(thm)],[5011, 832, 5008])).
% 8.02/5.60 tff(5013,plain,
% 8.02/5.60 (nextState(constB103, constB104) <=> nextState(constB103, constB104)),
% 8.02/5.60 inference(rewrite,[status(thm)],[])).
% 8.02/5.60 tff(5014,axiom,(nextState(constB103, constB104)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_103')).
% 8.02/5.60 tff(5015,plain,
% 8.02/5.60 (nextState(constB103, constB104)),
% 8.02/5.60 inference(modus_ponens,[status(thm)],[5014, 5013])).
% 8.02/5.60 tff(5016,plain,
% 8.02/5.60 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB103, constB104)) | (v94(constB104) <=> (~((~v104(constB104)) | (~v95(constB104))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB103, constB104)) | (v94(constB104) <=> (~((~v104(constB104)) | (~v95(constB104))))))),
% 8.02/5.60 inference(rewrite,[status(thm)],[])).
% 8.02/5.60 tff(5017,plain,
% 8.02/5.60 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB103, constB104)) | (v94(constB104) <=> (~((~v104(constB104)) | (~v95(constB104))))))),
% 8.02/5.60 inference(quant_inst,[status(thm)],[])).
% 8.02/5.60 tff(5018,plain,
% 8.02/5.60 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB103, constB104)) | (v94(constB104) <=> (~((~v104(constB104)) | (~v95(constB104)))))),
% 8.02/5.60 inference(modus_ponens,[status(thm)],[5017, 5016])).
% 8.02/5.60 tff(5019,plain,
% 8.02/5.60 (v94(constB104) <=> (~((~v104(constB104)) | (~v95(constB104))))),
% 8.02/5.60 inference(unit_resolution,[status(thm)],[5018, 5015, 775])).
% 8.02/5.60 tff(5020,plain,
% 8.02/5.60 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB103, constB104)) | (v95(constB104) <=> (~((~v1(constB104)) | (~v96(constB104))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB103, constB104)) | (v95(constB104) <=> (~((~v1(constB104)) | (~v96(constB104))))))),
% 8.02/5.60 inference(rewrite,[status(thm)],[])).
% 8.02/5.60 tff(5021,plain,
% 8.02/5.60 (((~nextState(constB103, constB104)) | (v95(constB104) <=> (~((~v96(constB104)) | (~v1(constB104)))))) <=> ((~nextState(constB103, constB104)) | (v95(constB104) <=> (~((~v1(constB104)) | (~v96(constB104))))))),
% 8.02/5.60 inference(rewrite,[status(thm)],[])).
% 8.02/5.60 tff(5022,plain,
% 8.02/5.60 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB103, constB104)) | (v95(constB104) <=> (~((~v96(constB104)) | (~v1(constB104))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB103, constB104)) | (v95(constB104) <=> (~((~v1(constB104)) | (~v96(constB104)))))))),
% 8.02/5.60 inference(monotonicity,[status(thm)],[5021])).
% 8.02/5.60 tff(5023,plain,
% 8.02/5.60 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB103, constB104)) | (v95(constB104) <=> (~((~v96(constB104)) | (~v1(constB104))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB103, constB104)) | (v95(constB104) <=> (~((~v1(constB104)) | (~v96(constB104))))))),
% 8.02/5.60 inference(transitivity,[status(thm)],[5022, 5020])).
% 8.02/5.60 tff(5024,plain,
% 8.02/5.60 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB103, constB104)) | (v95(constB104) <=> (~((~v96(constB104)) | (~v1(constB104))))))),
% 8.02/5.60 inference(quant_inst,[status(thm)],[])).
% 8.02/5.60 tff(5025,plain,
% 8.02/5.60 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB103, constB104)) | (v95(constB104) <=> (~((~v1(constB104)) | (~v96(constB104)))))),
% 8.02/5.60 inference(modus_ponens,[status(thm)],[5024, 5023])).
% 8.02/5.60 tff(5026,plain,
% 8.02/5.60 (v95(constB104) <=> (~((~v1(constB104)) | (~v96(constB104))))),
% 8.02/5.60 inference(unit_resolution,[status(thm)],[5025, 5015, 795])).
% 8.02/5.60 tff(5027,plain,
% 8.02/5.60 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB103, constB104)) | ((~v96(constB104)) <=> v98(constB104)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB103, constB104)) | ((~v96(constB104)) <=> v98(constB104)))),
% 8.02/5.60 inference(rewrite,[status(thm)],[])).
% 8.02/5.60 tff(5028,plain,
% 8.02/5.60 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB103, constB104)) | ((~v96(constB104)) <=> v98(constB104)))),
% 8.02/5.60 inference(quant_inst,[status(thm)],[])).
% 8.02/5.60 tff(5029,plain,
% 8.02/5.60 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB103, constB104)) | ((~v96(constB104)) <=> v98(constB104))),
% 8.02/5.60 inference(modus_ponens,[status(thm)],[5028, 5027])).
% 8.02/5.60 tff(5030,plain,
% 8.02/5.60 ((~v96(constB104)) <=> v98(constB104)),
% 8.02/5.60 inference(unit_resolution,[status(thm)],[5029, 5015, 860])).
% 8.02/5.60 tff(5031,plain,
% 8.02/5.60 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB103, constB104)) | (v98(constB104) <=> v1(constB103)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB103, constB104)) | (v98(constB104) <=> v1(constB103)))),
% 8.02/5.60 inference(rewrite,[status(thm)],[])).
% 8.02/5.60 tff(5032,plain,
% 8.02/5.60 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB103, constB104)) | (v98(constB104) <=> v1(constB103)))),
% 8.02/5.60 inference(quant_inst,[status(thm)],[])).
% 8.02/5.60 tff(5033,plain,
% 8.02/5.60 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB103, constB104)) | (v98(constB104) <=> v1(constB103))),
% 8.02/5.60 inference(modus_ponens,[status(thm)],[5032, 5031])).
% 8.02/5.60 tff(5034,plain,
% 8.02/5.60 (v98(constB104) <=> v1(constB103)),
% 8.02/5.60 inference(unit_resolution,[status(thm)],[5033, 5015, 874])).
% 8.02/5.60 tff(5035,plain,
% 8.02/5.60 ((~v1(constB103)) <=> (~v1(constB103))),
% 8.02/5.60 inference(rewrite,[status(thm)],[])).
% 8.02/5.60 tff(5036,axiom,(~v1(constB103)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_103')).
% 8.02/5.60 tff(5037,plain,
% 8.02/5.60 (~v1(constB103)),
% 8.02/5.60 inference(modus_ponens,[status(thm)],[5036, 5035])).
% 8.02/5.60 tff(5038,plain,
% 8.02/5.60 ((~(v98(constB104) <=> v1(constB103))) | (~v98(constB104)) | v1(constB103)),
% 8.02/5.60 inference(tautology,[status(thm)],[])).
% 8.02/5.60 tff(5039,plain,
% 8.02/5.60 ((~(v98(constB104) <=> v1(constB103))) | (~v98(constB104))),
% 8.02/5.60 inference(unit_resolution,[status(thm)],[5038, 5037])).
% 8.02/5.60 tff(5040,plain,
% 8.02/5.60 (~v98(constB104)),
% 8.02/5.60 inference(unit_resolution,[status(thm)],[5039, 5034])).
% 8.02/5.60 tff(5041,plain,
% 8.02/5.60 ((~((~v96(constB104)) <=> v98(constB104))) | v96(constB104) | v98(constB104)),
% 8.02/5.60 inference(tautology,[status(thm)],[])).
% 8.02/5.60 tff(5042,plain,
% 8.02/5.60 (v96(constB104)),
% 8.02/5.60 inference(unit_resolution,[status(thm)],[5041, 5040, 5030])).
% 8.02/5.60 tff(5043,plain,
% 8.02/5.60 (v1(constB104) <=> v1(constB104)),
% 8.02/5.60 inference(rewrite,[status(thm)],[])).
% 8.02/5.60 tff(5044,axiom,(v1(constB104)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_104')).
% 8.02/5.60 tff(5045,plain,
% 8.02/5.60 (v1(constB104)),
% 8.02/5.60 inference(modus_ponens,[status(thm)],[5044, 5043])).
% 8.02/5.60 tff(5046,plain,
% 8.02/5.60 ((~((~v1(constB104)) | (~v96(constB104)))) | (~v1(constB104)) | (~v96(constB104))),
% 8.02/5.60 inference(tautology,[status(thm)],[])).
% 8.02/5.60 tff(5047,plain,
% 8.02/5.60 ((~((~v1(constB104)) | (~v96(constB104)))) | (~v96(constB104))),
% 8.02/5.60 inference(unit_resolution,[status(thm)],[5046, 5045])).
% 8.02/5.60 tff(5048,plain,
% 8.02/5.60 (~((~v1(constB104)) | (~v96(constB104)))),
% 8.02/5.60 inference(unit_resolution,[status(thm)],[5047, 5042])).
% 8.02/5.60 tff(5049,plain,
% 8.02/5.60 ((~(v95(constB104) <=> (~((~v1(constB104)) | (~v96(constB104)))))) | v95(constB104) | ((~v1(constB104)) | (~v96(constB104)))),
% 8.02/5.60 inference(tautology,[status(thm)],[])).
% 8.02/5.60 tff(5050,plain,
% 8.02/5.60 (v95(constB104)),
% 8.02/5.60 inference(unit_resolution,[status(thm)],[5049, 5048, 5026])).
% 8.02/5.60 tff(5051,plain,
% 8.02/5.60 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB103, constB104)) | (v104(constB104) <=> v102(constB103)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB103, constB104)) | (v104(constB104) <=> v102(constB103)))),
% 8.02/5.60 inference(rewrite,[status(thm)],[])).
% 8.02/5.60 tff(5052,plain,
% 8.02/5.60 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB103, constB104)) | (v104(constB104) <=> v102(constB103)))),
% 8.02/5.60 inference(quant_inst,[status(thm)],[])).
% 8.02/5.60 tff(5053,plain,
% 8.02/5.60 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB103, constB104)) | (v104(constB104) <=> v102(constB103))),
% 8.02/5.60 inference(modus_ponens,[status(thm)],[5052, 5051])).
% 8.02/5.60 tff(5054,plain,
% 8.02/5.60 (v104(constB104) <=> v102(constB103)),
% 8.02/5.60 inference(unit_resolution,[status(thm)],[5053, 5015, 904])).
% 8.02/5.60 tff(5055,plain,
% 8.02/5.60 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB103) <=> (v105(constB103) | v106(constB103)))),
% 8.02/5.60 inference(quant_inst,[status(thm)],[])).
% 8.02/5.60 tff(5056,plain,
% 8.02/5.60 (v102(constB103) <=> (v105(constB103) | v106(constB103))),
% 8.02/5.60 inference(unit_resolution,[status(thm)],[5055, 915])).
% 8.02/5.60 tff(5057,plain,
% 8.02/5.60 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB103) <=> (~((~v107(constB103)) | (~v120(constB103)))))),
% 8.02/5.60 inference(quant_inst,[status(thm)],[])).
% 8.02/5.60 tff(5058,plain,
% 8.02/5.60 (v106(constB103) <=> (~((~v107(constB103)) | (~v120(constB103))))),
% 8.02/5.60 inference(unit_resolution,[status(thm)],[5057, 927])).
% 8.02/5.60 tff(5059,plain,
% 8.02/5.60 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB103) <=> (v108(constB103) | v119(constB103)))),
% 8.02/5.60 inference(quant_inst,[status(thm)],[])).
% 8.02/5.60 tff(5060,plain,
% 8.02/5.60 (v107(constB103) <=> (v108(constB103) | v119(constB103))),
% 8.02/5.60 inference(unit_resolution,[status(thm)],[5059, 936])).
% 8.02/5.60 tff(5061,plain,
% 8.02/5.60 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB103) <=> (v109(constB103) | v118(constB103)))),
% 8.02/5.60 inference(quant_inst,[status(thm)],[])).
% 8.02/5.60 tff(5062,plain,
% 8.02/5.60 (v108(constB103) <=> (v109(constB103) | v118(constB103))),
% 8.02/5.60 inference(unit_resolution,[status(thm)],[5061, 945])).
% 8.02/5.60 tff(5063,plain,
% 8.02/5.60 ((~![VarCurr: $i] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB103) <=> (v110(constB103) | v117(constB103)))),
% 8.02/5.60 inference(quant_inst,[status(thm)],[])).
% 8.02/5.60 tff(5064,plain,
% 8.02/5.60 (v109(constB103) <=> (v110(constB103) | v117(constB103))),
% 8.02/5.60 inference(unit_resolution,[status(thm)],[5063, 1056])).
% 8.02/5.60 tff(5065,plain,
% 8.02/5.60 ((~![VarCurr: $i] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB103) <=> (v111(constB103) | v116(constB103)))),
% 8.02/5.60 inference(quant_inst,[status(thm)],[])).
% 8.02/5.60 tff(5066,plain,
% 8.02/5.60 (v110(constB103) <=> (v111(constB103) | v116(constB103))),
% 8.02/5.60 inference(unit_resolution,[status(thm)],[5065, 1169])).
% 8.02/5.60 tff(5067,plain,
% 8.02/5.60 ((~![VarCurr: $i] : (v116(VarCurr) <=> (~(v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex0)))))) | (v116(constB103) <=> (~(v84(constB103, bitIndex2) | (~v84(constB103, bitIndex1)) | (~v84(constB103, bitIndex0)))))),
% 8.02/5.60 inference(quant_inst,[status(thm)],[])).
% 8.02/5.60 tff(5068,plain,
% 8.02/5.60 (v116(constB103) <=> (~(v84(constB103, bitIndex2) | (~v84(constB103, bitIndex1)) | (~v84(constB103, bitIndex0))))),
% 8.02/5.60 inference(unit_resolution,[status(thm)],[5067, 1184])).
% 8.02/5.60 tff(5069,plain,
% 8.02/5.60 (nextState(constB102, constB103) <=> nextState(constB102, constB103)),
% 8.02/5.60 inference(rewrite,[status(thm)],[])).
% 8.02/5.60 tff(5070,axiom,(nextState(constB102, constB103)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_102')).
% 8.02/5.60 tff(5071,plain,
% 8.02/5.60 (nextState(constB102, constB103)),
% 8.02/5.60 inference(modus_ponens,[status(thm)],[5070, 5069])).
% 8.02/5.60 tff(5072,plain,
% 8.02/5.60 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB102, constB103)) | (v94(constB103) <=> (~((~v104(constB103)) | (~v95(constB103))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB102, constB103)) | (v94(constB103) <=> (~((~v104(constB103)) | (~v95(constB103))))))),
% 8.02/5.60 inference(rewrite,[status(thm)],[])).
% 8.02/5.60 tff(5073,plain,
% 8.02/5.60 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB102, constB103)) | (v94(constB103) <=> (~((~v104(constB103)) | (~v95(constB103))))))),
% 8.02/5.60 inference(quant_inst,[status(thm)],[])).
% 8.02/5.60 tff(5074,plain,
% 8.02/5.60 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB102, constB103)) | (v94(constB103) <=> (~((~v104(constB103)) | (~v95(constB103)))))),
% 8.02/5.60 inference(modus_ponens,[status(thm)],[5073, 5072])).
% 8.02/5.60 tff(5075,plain,
% 8.02/5.60 (v94(constB103) <=> (~((~v104(constB103)) | (~v95(constB103))))),
% 8.02/5.60 inference(unit_resolution,[status(thm)],[5074, 5071, 775])).
% 8.02/5.60 tff(5076,plain,
% 8.02/5.60 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB102, constB103)) | (v95(constB103) <=> (~((~v1(constB103)) | (~v96(constB103))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB102, constB103)) | (v95(constB103) <=> (~((~v1(constB103)) | (~v96(constB103))))))),
% 8.02/5.60 inference(rewrite,[status(thm)],[])).
% 8.02/5.60 tff(5077,plain,
% 8.02/5.60 (((~nextState(constB102, constB103)) | (v95(constB103) <=> (~((~v96(constB103)) | (~v1(constB103)))))) <=> ((~nextState(constB102, constB103)) | (v95(constB103) <=> (~((~v1(constB103)) | (~v96(constB103))))))),
% 8.02/5.60 inference(rewrite,[status(thm)],[])).
% 8.02/5.60 tff(5078,plain,
% 8.02/5.60 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB102, constB103)) | (v95(constB103) <=> (~((~v96(constB103)) | (~v1(constB103))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB102, constB103)) | (v95(constB103) <=> (~((~v1(constB103)) | (~v96(constB103)))))))),
% 8.02/5.60 inference(monotonicity,[status(thm)],[5077])).
% 8.02/5.60 tff(5079,plain,
% 8.02/5.60 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB102, constB103)) | (v95(constB103) <=> (~((~v96(constB103)) | (~v1(constB103))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB102, constB103)) | (v95(constB103) <=> (~((~v1(constB103)) | (~v96(constB103))))))),
% 8.02/5.60 inference(transitivity,[status(thm)],[5078, 5076])).
% 8.02/5.60 tff(5080,plain,
% 8.02/5.60 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB102, constB103)) | (v95(constB103) <=> (~((~v96(constB103)) | (~v1(constB103))))))),
% 8.02/5.60 inference(quant_inst,[status(thm)],[])).
% 8.02/5.60 tff(5081,plain,
% 8.02/5.60 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB102, constB103)) | (v95(constB103) <=> (~((~v1(constB103)) | (~v96(constB103)))))),
% 8.02/5.60 inference(modus_ponens,[status(thm)],[5080, 5079])).
% 8.02/5.60 tff(5082,plain,
% 8.02/5.60 (v95(constB103) <=> (~((~v1(constB103)) | (~v96(constB103))))),
% 8.02/5.60 inference(unit_resolution,[status(thm)],[5081, 5071, 795])).
% 8.02/5.60 tff(5083,plain,
% 8.02/5.60 (((~v1(constB103)) | (~v96(constB103))) | v1(constB103)),
% 8.02/5.60 inference(tautology,[status(thm)],[])).
% 8.02/5.60 tff(5084,plain,
% 8.02/5.60 ((~v1(constB103)) | (~v96(constB103))),
% 8.02/5.60 inference(unit_resolution,[status(thm)],[5083, 5037])).
% 8.02/5.60 tff(5085,plain,
% 8.02/5.60 ((~(v95(constB103) <=> (~((~v1(constB103)) | (~v96(constB103)))))) | (~v95(constB103)) | (~((~v1(constB103)) | (~v96(constB103))))),
% 8.02/5.60 inference(tautology,[status(thm)],[])).
% 8.02/5.60 tff(5086,plain,
% 8.02/5.60 ((~(v95(constB103) <=> (~((~v1(constB103)) | (~v96(constB103)))))) | (~v95(constB103))),
% 8.02/5.60 inference(unit_resolution,[status(thm)],[5085, 5084])).
% 8.02/5.60 tff(5087,plain,
% 8.02/5.60 (~v95(constB103)),
% 8.02/5.60 inference(unit_resolution,[status(thm)],[5086, 5082])).
% 8.02/5.60 tff(5088,plain,
% 8.02/5.60 (((~v104(constB103)) | (~v95(constB103))) | v95(constB103)),
% 8.02/5.60 inference(tautology,[status(thm)],[])).
% 8.02/5.60 tff(5089,plain,
% 8.02/5.60 ((~v104(constB103)) | (~v95(constB103))),
% 8.02/5.60 inference(unit_resolution,[status(thm)],[5088, 5087])).
% 8.02/5.60 tff(5090,plain,
% 8.02/5.60 ((~(v94(constB103) <=> (~((~v104(constB103)) | (~v95(constB103)))))) | (~v94(constB103)) | (~((~v104(constB103)) | (~v95(constB103))))),
% 8.02/5.60 inference(tautology,[status(thm)],[])).
% 8.02/5.60 tff(5091,plain,
% 8.02/5.60 (~v94(constB103)),
% 8.02/5.60 inference(unit_resolution,[status(thm)],[5090, 5089, 5075])).
% 8.02/5.60 tff(5092,plain,
% 8.02/5.60 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB103) | (~nextState(constB102, constB103)) | ![B: $i] : ((~less_3(B)) | (v84(constB103, B) <=> v84(constB102, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB103) | (~nextState(constB102, constB103)) | ![B: $i] : ((~less_3(B)) | (v84(constB103, B) <=> v84(constB102, B))))),
% 8.02/5.60 inference(rewrite,[status(thm)],[])).
% 8.02/5.60 tff(5093,plain,
% 8.02/5.60 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB103) | (~nextState(constB102, constB103)) | ![B: $i] : ((~less_3(B)) | (v84(constB103, B) <=> v84(constB102, B))))),
% 8.02/5.60 inference(quant_inst,[status(thm)],[])).
% 8.02/5.60 tff(5094,plain,
% 8.02/5.60 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB103) | (~nextState(constB102, constB103)) | ![B: $i] : ((~less_3(B)) | (v84(constB103, B) <=> v84(constB102, B)))),
% 8.02/5.60 inference(modus_ponens,[status(thm)],[5093, 5092])).
% 8.02/5.60 tff(5095,plain,
% 8.02/5.60 (v94(constB103) | ![B: $i] : ((~less_3(B)) | (v84(constB103, B) <=> v84(constB102, B)))),
% 8.02/5.60 inference(unit_resolution,[status(thm)],[5094, 5071, 824])).
% 8.02/5.60 tff(5096,plain,
% 8.02/5.60 (![B: $i] : ((~less_3(B)) | (v84(constB103, B) <=> v84(constB102, B)))),
% 8.02/5.60 inference(unit_resolution,[status(thm)],[5095, 5091])).
% 8.02/5.60 tff(5097,plain,
% 8.02/5.60 (((~![B: $i] : ((~less_3(B)) | (v84(constB103, B) <=> v84(constB102, B)))) | ((~less_3(bitIndex2)) | (v84(constB103, bitIndex2) <=> v84(constB102, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB103, B) <=> v84(constB102, B)))) | (~less_3(bitIndex2)) | (v84(constB103, bitIndex2) <=> v84(constB102, bitIndex2)))),
% 8.02/5.60 inference(rewrite,[status(thm)],[])).
% 8.02/5.60 tff(5098,plain,
% 8.02/5.60 ((~![B: $i] : ((~less_3(B)) | (v84(constB103, B) <=> v84(constB102, B)))) | ((~less_3(bitIndex2)) | (v84(constB103, bitIndex2) <=> v84(constB102, bitIndex2)))),
% 8.02/5.60 inference(quant_inst,[status(thm)],[])).
% 8.02/5.60 tff(5099,plain,
% 8.02/5.60 ((~![B: $i] : ((~less_3(B)) | (v84(constB103, B) <=> v84(constB102, B)))) | (~less_3(bitIndex2)) | (v84(constB103, bitIndex2) <=> v84(constB102, bitIndex2))),
% 8.02/5.60 inference(modus_ponens,[status(thm)],[5098, 5097])).
% 8.02/5.60 tff(5100,plain,
% 8.02/5.60 (v84(constB103, bitIndex2) <=> v84(constB102, bitIndex2)),
% 8.02/5.60 inference(unit_resolution,[status(thm)],[5099, 832, 5096])).
% 8.02/5.60 tff(5101,plain,
% 8.02/5.60 (nextState(constB101, constB102) <=> nextState(constB101, constB102)),
% 8.02/5.60 inference(rewrite,[status(thm)],[])).
% 8.02/5.60 tff(5102,axiom,(nextState(constB101, constB102)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_101')).
% 8.02/5.60 tff(5103,plain,
% 8.02/5.60 (nextState(constB101, constB102)),
% 8.02/5.60 inference(modus_ponens,[status(thm)],[5102, 5101])).
% 8.02/5.60 tff(5104,plain,
% 8.02/5.60 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB101, constB102)) | (v94(constB102) <=> (~((~v104(constB102)) | (~v95(constB102))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB101, constB102)) | (v94(constB102) <=> (~((~v104(constB102)) | (~v95(constB102))))))),
% 8.02/5.60 inference(rewrite,[status(thm)],[])).
% 8.02/5.60 tff(5105,plain,
% 8.02/5.60 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB101, constB102)) | (v94(constB102) <=> (~((~v104(constB102)) | (~v95(constB102))))))),
% 8.02/5.60 inference(quant_inst,[status(thm)],[])).
% 8.02/5.60 tff(5106,plain,
% 8.02/5.60 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB101, constB102)) | (v94(constB102) <=> (~((~v104(constB102)) | (~v95(constB102)))))),
% 8.02/5.60 inference(modus_ponens,[status(thm)],[5105, 5104])).
% 8.02/5.60 tff(5107,plain,
% 8.02/5.60 (v94(constB102) <=> (~((~v104(constB102)) | (~v95(constB102))))),
% 8.02/5.60 inference(unit_resolution,[status(thm)],[5106, 5103, 775])).
% 8.02/5.60 tff(5108,plain,
% 8.02/5.60 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB101, constB102)) | (v95(constB102) <=> (~((~v1(constB102)) | (~v96(constB102))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB101, constB102)) | (v95(constB102) <=> (~((~v1(constB102)) | (~v96(constB102))))))),
% 8.02/5.60 inference(rewrite,[status(thm)],[])).
% 8.02/5.60 tff(5109,plain,
% 8.02/5.60 (((~nextState(constB101, constB102)) | (v95(constB102) <=> (~((~v96(constB102)) | (~v1(constB102)))))) <=> ((~nextState(constB101, constB102)) | (v95(constB102) <=> (~((~v1(constB102)) | (~v96(constB102))))))),
% 8.02/5.60 inference(rewrite,[status(thm)],[])).
% 8.02/5.60 tff(5110,plain,
% 8.02/5.60 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB101, constB102)) | (v95(constB102) <=> (~((~v96(constB102)) | (~v1(constB102))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB101, constB102)) | (v95(constB102) <=> (~((~v1(constB102)) | (~v96(constB102)))))))),
% 8.02/5.60 inference(monotonicity,[status(thm)],[5109])).
% 8.02/5.60 tff(5111,plain,
% 8.02/5.60 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB101, constB102)) | (v95(constB102) <=> (~((~v96(constB102)) | (~v1(constB102))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB101, constB102)) | (v95(constB102) <=> (~((~v1(constB102)) | (~v96(constB102))))))),
% 8.02/5.61 inference(transitivity,[status(thm)],[5110, 5108])).
% 8.02/5.61 tff(5112,plain,
% 8.02/5.61 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB101, constB102)) | (v95(constB102) <=> (~((~v96(constB102)) | (~v1(constB102))))))),
% 8.02/5.61 inference(quant_inst,[status(thm)],[])).
% 8.02/5.61 tff(5113,plain,
% 8.02/5.61 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB101, constB102)) | (v95(constB102) <=> (~((~v1(constB102)) | (~v96(constB102)))))),
% 8.02/5.61 inference(modus_ponens,[status(thm)],[5112, 5111])).
% 8.02/5.61 tff(5114,plain,
% 8.02/5.61 (v95(constB102) <=> (~((~v1(constB102)) | (~v96(constB102))))),
% 8.02/5.61 inference(unit_resolution,[status(thm)],[5113, 5103, 795])).
% 8.02/5.61 tff(5115,plain,
% 8.02/5.61 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB101, constB102)) | ((~v96(constB102)) <=> v98(constB102)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB101, constB102)) | ((~v96(constB102)) <=> v98(constB102)))),
% 8.02/5.61 inference(rewrite,[status(thm)],[])).
% 8.02/5.61 tff(5116,plain,
% 8.02/5.61 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB101, constB102)) | ((~v96(constB102)) <=> v98(constB102)))),
% 8.02/5.61 inference(quant_inst,[status(thm)],[])).
% 8.02/5.61 tff(5117,plain,
% 8.02/5.61 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB101, constB102)) | ((~v96(constB102)) <=> v98(constB102))),
% 8.02/5.61 inference(modus_ponens,[status(thm)],[5116, 5115])).
% 8.02/5.61 tff(5118,plain,
% 8.02/5.61 ((~v96(constB102)) <=> v98(constB102)),
% 8.02/5.61 inference(unit_resolution,[status(thm)],[5117, 5103, 860])).
% 8.02/5.61 tff(5119,plain,
% 8.02/5.61 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB101, constB102)) | (v98(constB102) <=> v1(constB101)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB101, constB102)) | (v98(constB102) <=> v1(constB101)))),
% 8.02/5.61 inference(rewrite,[status(thm)],[])).
% 8.02/5.61 tff(5120,plain,
% 8.02/5.61 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB101, constB102)) | (v98(constB102) <=> v1(constB101)))),
% 8.02/5.61 inference(quant_inst,[status(thm)],[])).
% 8.02/5.61 tff(5121,plain,
% 8.02/5.61 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB101, constB102)) | (v98(constB102) <=> v1(constB101))),
% 8.02/5.61 inference(modus_ponens,[status(thm)],[5120, 5119])).
% 8.02/5.61 tff(5122,plain,
% 8.02/5.61 (v98(constB102) <=> v1(constB101)),
% 8.02/5.61 inference(unit_resolution,[status(thm)],[5121, 5103, 874])).
% 8.02/5.61 tff(5123,plain,
% 8.02/5.61 ((~v1(constB101)) <=> (~v1(constB101))),
% 8.02/5.61 inference(rewrite,[status(thm)],[])).
% 8.02/5.61 tff(5124,axiom,(~v1(constB101)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_101')).
% 8.02/5.61 tff(5125,plain,
% 8.02/5.61 (~v1(constB101)),
% 8.02/5.61 inference(modus_ponens,[status(thm)],[5124, 5123])).
% 8.02/5.61 tff(5126,plain,
% 8.02/5.61 ((~(v98(constB102) <=> v1(constB101))) | (~v98(constB102)) | v1(constB101)),
% 8.02/5.61 inference(tautology,[status(thm)],[])).
% 8.02/5.61 tff(5127,plain,
% 8.02/5.61 ((~(v98(constB102) <=> v1(constB101))) | (~v98(constB102))),
% 8.02/5.61 inference(unit_resolution,[status(thm)],[5126, 5125])).
% 8.02/5.61 tff(5128,plain,
% 8.02/5.61 (~v98(constB102)),
% 8.02/5.61 inference(unit_resolution,[status(thm)],[5127, 5122])).
% 8.02/5.61 tff(5129,plain,
% 8.02/5.61 ((~((~v96(constB102)) <=> v98(constB102))) | v96(constB102) | v98(constB102)),
% 8.02/5.61 inference(tautology,[status(thm)],[])).
% 8.02/5.61 tff(5130,plain,
% 8.02/5.61 (v96(constB102)),
% 8.02/5.61 inference(unit_resolution,[status(thm)],[5129, 5128, 5118])).
% 8.02/5.61 tff(5131,plain,
% 8.02/5.61 (v1(constB102) <=> v1(constB102)),
% 8.02/5.61 inference(rewrite,[status(thm)],[])).
% 8.02/5.61 tff(5132,axiom,(v1(constB102)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_102')).
% 8.02/5.61 tff(5133,plain,
% 8.02/5.61 (v1(constB102)),
% 8.02/5.61 inference(modus_ponens,[status(thm)],[5132, 5131])).
% 8.02/5.61 tff(5134,plain,
% 8.02/5.61 ((~((~v1(constB102)) | (~v96(constB102)))) | (~v1(constB102)) | (~v96(constB102))),
% 8.02/5.61 inference(tautology,[status(thm)],[])).
% 8.02/5.61 tff(5135,plain,
% 8.02/5.61 ((~((~v1(constB102)) | (~v96(constB102)))) | (~v96(constB102))),
% 8.02/5.61 inference(unit_resolution,[status(thm)],[5134, 5133])).
% 8.02/5.61 tff(5136,plain,
% 8.02/5.61 (~((~v1(constB102)) | (~v96(constB102)))),
% 8.02/5.61 inference(unit_resolution,[status(thm)],[5135, 5130])).
% 8.02/5.61 tff(5137,plain,
% 8.02/5.61 ((~(v95(constB102) <=> (~((~v1(constB102)) | (~v96(constB102)))))) | v95(constB102) | ((~v1(constB102)) | (~v96(constB102)))),
% 8.02/5.61 inference(tautology,[status(thm)],[])).
% 8.02/5.61 tff(5138,plain,
% 8.02/5.61 (v95(constB102)),
% 8.02/5.61 inference(unit_resolution,[status(thm)],[5137, 5136, 5114])).
% 8.02/5.61 tff(5139,plain,
% 8.02/5.61 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB101, constB102)) | (v104(constB102) <=> v102(constB101)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB101, constB102)) | (v104(constB102) <=> v102(constB101)))),
% 8.02/5.61 inference(rewrite,[status(thm)],[])).
% 8.02/5.61 tff(5140,plain,
% 8.02/5.61 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB101, constB102)) | (v104(constB102) <=> v102(constB101)))),
% 8.02/5.61 inference(quant_inst,[status(thm)],[])).
% 8.02/5.61 tff(5141,plain,
% 8.02/5.61 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB101, constB102)) | (v104(constB102) <=> v102(constB101))),
% 8.02/5.61 inference(modus_ponens,[status(thm)],[5140, 5139])).
% 8.02/5.61 tff(5142,plain,
% 8.02/5.61 (v104(constB102) <=> v102(constB101)),
% 8.02/5.61 inference(unit_resolution,[status(thm)],[5141, 5103, 904])).
% 8.02/5.61 tff(5143,plain,
% 8.02/5.61 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB101) <=> (v105(constB101) | v106(constB101)))),
% 8.02/5.61 inference(quant_inst,[status(thm)],[])).
% 8.02/5.61 tff(5144,plain,
% 8.02/5.61 (v102(constB101) <=> (v105(constB101) | v106(constB101))),
% 8.02/5.61 inference(unit_resolution,[status(thm)],[5143, 915])).
% 8.02/5.61 tff(5145,plain,
% 8.02/5.61 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB101) <=> (~((~v107(constB101)) | (~v120(constB101)))))),
% 8.02/5.61 inference(quant_inst,[status(thm)],[])).
% 8.02/5.61 tff(5146,plain,
% 8.02/5.61 (v106(constB101) <=> (~((~v107(constB101)) | (~v120(constB101))))),
% 8.02/5.61 inference(unit_resolution,[status(thm)],[5145, 927])).
% 8.02/5.61 tff(5147,plain,
% 8.02/5.61 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB101) <=> (v108(constB101) | v119(constB101)))),
% 8.02/5.61 inference(quant_inst,[status(thm)],[])).
% 8.02/5.61 tff(5148,plain,
% 8.02/5.61 (v107(constB101) <=> (v108(constB101) | v119(constB101))),
% 8.02/5.61 inference(unit_resolution,[status(thm)],[5147, 936])).
% 8.02/5.61 tff(5149,plain,
% 8.02/5.61 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB101) <=> (v109(constB101) | v118(constB101)))),
% 8.02/5.61 inference(quant_inst,[status(thm)],[])).
% 8.02/5.61 tff(5150,plain,
% 8.02/5.61 (v108(constB101) <=> (v109(constB101) | v118(constB101))),
% 8.02/5.61 inference(unit_resolution,[status(thm)],[5149, 945])).
% 8.02/5.61 tff(5151,plain,
% 8.02/5.61 ((~![VarCurr: $i] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB101) <=> (v110(constB101) | v117(constB101)))),
% 8.02/5.61 inference(quant_inst,[status(thm)],[])).
% 8.02/5.61 tff(5152,plain,
% 8.02/5.61 (v109(constB101) <=> (v110(constB101) | v117(constB101))),
% 8.02/5.61 inference(unit_resolution,[status(thm)],[5151, 1056])).
% 8.02/5.61 tff(5153,plain,
% 8.02/5.61 ((~![VarCurr: $i] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB101) <=> (v111(constB101) | v116(constB101)))),
% 8.02/5.61 inference(quant_inst,[status(thm)],[])).
% 8.02/5.61 tff(5154,plain,
% 8.02/5.61 (v110(constB101) <=> (v111(constB101) | v116(constB101))),
% 8.02/5.61 inference(unit_resolution,[status(thm)],[5153, 1169])).
% 8.02/5.61 tff(5155,plain,
% 8.02/5.61 ((~![VarCurr: $i] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB101) <=> (v112(constB101) | v115(constB101)))),
% 8.02/5.61 inference(quant_inst,[status(thm)],[])).
% 8.02/5.61 tff(5156,plain,
% 8.02/5.61 (v111(constB101) <=> (v112(constB101) | v115(constB101))),
% 8.02/5.61 inference(unit_resolution,[status(thm)],[5155, 1279])).
% 8.02/5.61 tff(5157,plain,
% 8.02/5.61 (((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB101) <=> (~(v84(constB101, bitIndex2) | (~v84(constB101, bitIndex1)) | v84(constB101, bitIndex0))))) <=> ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB101) <=> (~(v84(constB101, bitIndex2) | (~v84(constB101, bitIndex1)) | v84(constB101, bitIndex0)))))),
% 8.02/5.61 inference(rewrite,[status(thm)],[])).
% 8.02/5.61 tff(5158,plain,
% 8.02/5.61 ((v115(constB101) <=> (~(v84(constB101, bitIndex0) | v84(constB101, bitIndex2) | (~v84(constB101, bitIndex1))))) <=> (v115(constB101) <=> (~(v84(constB101, bitIndex2) | (~v84(constB101, bitIndex1)) | v84(constB101, bitIndex0))))),
% 8.02/5.61 inference(rewrite,[status(thm)],[])).
% 8.02/5.61 tff(5159,plain,
% 8.02/5.61 (((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB101) <=> (~(v84(constB101, bitIndex0) | v84(constB101, bitIndex2) | (~v84(constB101, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB101) <=> (~(v84(constB101, bitIndex2) | (~v84(constB101, bitIndex1)) | v84(constB101, bitIndex0)))))),
% 8.02/5.61 inference(monotonicity,[status(thm)],[5158])).
% 8.02/5.61 tff(5160,plain,
% 8.02/5.61 (((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB101) <=> (~(v84(constB101, bitIndex0) | v84(constB101, bitIndex2) | (~v84(constB101, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB101) <=> (~(v84(constB101, bitIndex2) | (~v84(constB101, bitIndex1)) | v84(constB101, bitIndex0)))))),
% 8.02/5.61 inference(transitivity,[status(thm)],[5159, 5157])).
% 8.02/5.61 tff(5161,plain,
% 8.02/5.61 ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB101) <=> (~(v84(constB101, bitIndex0) | v84(constB101, bitIndex2) | (~v84(constB101, bitIndex1)))))),
% 8.02/5.61 inference(quant_inst,[status(thm)],[])).
% 8.02/5.61 tff(5162,plain,
% 8.02/5.61 ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB101) <=> (~(v84(constB101, bitIndex2) | (~v84(constB101, bitIndex1)) | v84(constB101, bitIndex0))))),
% 8.02/5.61 inference(modus_ponens,[status(thm)],[5161, 5160])).
% 8.02/5.61 tff(5163,plain,
% 8.02/5.61 (v115(constB101) <=> (~(v84(constB101, bitIndex2) | (~v84(constB101, bitIndex1)) | v84(constB101, bitIndex0)))),
% 8.02/5.61 inference(unit_resolution,[status(thm)],[5162, 1294])).
% 8.02/5.61 tff(5164,plain,
% 8.02/5.61 (nextState(constB100, constB101) <=> nextState(constB100, constB101)),
% 8.02/5.61 inference(rewrite,[status(thm)],[])).
% 8.02/5.61 tff(5165,axiom,(nextState(constB100, constB101)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_100')).
% 8.02/5.61 tff(5166,plain,
% 8.02/5.61 (nextState(constB100, constB101)),
% 8.02/5.61 inference(modus_ponens,[status(thm)],[5165, 5164])).
% 8.02/5.61 tff(5167,plain,
% 8.02/5.61 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB100, constB101)) | (v94(constB101) <=> (~((~v104(constB101)) | (~v95(constB101))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB100, constB101)) | (v94(constB101) <=> (~((~v104(constB101)) | (~v95(constB101))))))),
% 8.02/5.61 inference(rewrite,[status(thm)],[])).
% 8.02/5.61 tff(5168,plain,
% 8.02/5.61 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB100, constB101)) | (v94(constB101) <=> (~((~v104(constB101)) | (~v95(constB101))))))),
% 8.02/5.61 inference(quant_inst,[status(thm)],[])).
% 8.02/5.61 tff(5169,plain,
% 8.02/5.61 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB100, constB101)) | (v94(constB101) <=> (~((~v104(constB101)) | (~v95(constB101)))))),
% 8.02/5.61 inference(modus_ponens,[status(thm)],[5168, 5167])).
% 8.02/5.61 tff(5170,plain,
% 8.02/5.61 (v94(constB101) <=> (~((~v104(constB101)) | (~v95(constB101))))),
% 8.02/5.61 inference(unit_resolution,[status(thm)],[5169, 5166, 775])).
% 8.02/5.61 tff(5171,plain,
% 8.02/5.61 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB100, constB101)) | (v95(constB101) <=> (~((~v1(constB101)) | (~v96(constB101))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB100, constB101)) | (v95(constB101) <=> (~((~v1(constB101)) | (~v96(constB101))))))),
% 8.02/5.61 inference(rewrite,[status(thm)],[])).
% 8.02/5.61 tff(5172,plain,
% 8.02/5.61 (((~nextState(constB100, constB101)) | (v95(constB101) <=> (~((~v96(constB101)) | (~v1(constB101)))))) <=> ((~nextState(constB100, constB101)) | (v95(constB101) <=> (~((~v1(constB101)) | (~v96(constB101))))))),
% 8.02/5.61 inference(rewrite,[status(thm)],[])).
% 8.02/5.61 tff(5173,plain,
% 8.02/5.61 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB100, constB101)) | (v95(constB101) <=> (~((~v96(constB101)) | (~v1(constB101))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB100, constB101)) | (v95(constB101) <=> (~((~v1(constB101)) | (~v96(constB101)))))))),
% 8.02/5.61 inference(monotonicity,[status(thm)],[5172])).
% 8.02/5.61 tff(5174,plain,
% 8.02/5.61 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB100, constB101)) | (v95(constB101) <=> (~((~v96(constB101)) | (~v1(constB101))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB100, constB101)) | (v95(constB101) <=> (~((~v1(constB101)) | (~v96(constB101))))))),
% 8.02/5.61 inference(transitivity,[status(thm)],[5173, 5171])).
% 8.02/5.61 tff(5175,plain,
% 8.02/5.61 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB100, constB101)) | (v95(constB101) <=> (~((~v96(constB101)) | (~v1(constB101))))))),
% 8.02/5.61 inference(quant_inst,[status(thm)],[])).
% 8.02/5.61 tff(5176,plain,
% 8.02/5.61 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB100, constB101)) | (v95(constB101) <=> (~((~v1(constB101)) | (~v96(constB101)))))),
% 8.02/5.61 inference(modus_ponens,[status(thm)],[5175, 5174])).
% 8.02/5.61 tff(5177,plain,
% 8.02/5.61 (v95(constB101) <=> (~((~v1(constB101)) | (~v96(constB101))))),
% 8.02/5.61 inference(unit_resolution,[status(thm)],[5176, 5166, 795])).
% 8.02/5.61 tff(5178,plain,
% 8.02/5.61 (((~v1(constB101)) | (~v96(constB101))) | v1(constB101)),
% 8.02/5.61 inference(tautology,[status(thm)],[])).
% 8.02/5.61 tff(5179,plain,
% 8.02/5.61 ((~v1(constB101)) | (~v96(constB101))),
% 8.02/5.61 inference(unit_resolution,[status(thm)],[5178, 5125])).
% 8.02/5.61 tff(5180,plain,
% 8.02/5.61 ((~(v95(constB101) <=> (~((~v1(constB101)) | (~v96(constB101)))))) | (~v95(constB101)) | (~((~v1(constB101)) | (~v96(constB101))))),
% 8.02/5.61 inference(tautology,[status(thm)],[])).
% 8.02/5.61 tff(5181,plain,
% 8.02/5.61 ((~(v95(constB101) <=> (~((~v1(constB101)) | (~v96(constB101)))))) | (~v95(constB101))),
% 8.02/5.61 inference(unit_resolution,[status(thm)],[5180, 5179])).
% 8.02/5.61 tff(5182,plain,
% 8.02/5.61 (~v95(constB101)),
% 8.02/5.61 inference(unit_resolution,[status(thm)],[5181, 5177])).
% 8.02/5.61 tff(5183,plain,
% 8.02/5.61 (((~v104(constB101)) | (~v95(constB101))) | v95(constB101)),
% 8.02/5.61 inference(tautology,[status(thm)],[])).
% 8.02/5.61 tff(5184,plain,
% 8.02/5.61 ((~v104(constB101)) | (~v95(constB101))),
% 8.02/5.61 inference(unit_resolution,[status(thm)],[5183, 5182])).
% 8.02/5.61 tff(5185,plain,
% 8.02/5.61 ((~(v94(constB101) <=> (~((~v104(constB101)) | (~v95(constB101)))))) | (~v94(constB101)) | (~((~v104(constB101)) | (~v95(constB101))))),
% 8.02/5.61 inference(tautology,[status(thm)],[])).
% 8.02/5.61 tff(5186,plain,
% 8.02/5.61 (~v94(constB101)),
% 8.02/5.61 inference(unit_resolution,[status(thm)],[5185, 5184, 5170])).
% 8.02/5.61 tff(5187,plain,
% 8.02/5.61 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB101) | (~nextState(constB100, constB101)) | ![B: $i] : ((~less_3(B)) | (v84(constB101, B) <=> v84(constB100, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB101) | (~nextState(constB100, constB101)) | ![B: $i] : ((~less_3(B)) | (v84(constB101, B) <=> v84(constB100, B))))),
% 8.02/5.61 inference(rewrite,[status(thm)],[])).
% 8.02/5.61 tff(5188,plain,
% 8.02/5.61 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB101) | (~nextState(constB100, constB101)) | ![B: $i] : ((~less_3(B)) | (v84(constB101, B) <=> v84(constB100, B))))),
% 8.02/5.61 inference(quant_inst,[status(thm)],[])).
% 8.02/5.61 tff(5189,plain,
% 8.02/5.61 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB101) | (~nextState(constB100, constB101)) | ![B: $i] : ((~less_3(B)) | (v84(constB101, B) <=> v84(constB100, B)))),
% 8.02/5.61 inference(modus_ponens,[status(thm)],[5188, 5187])).
% 8.02/5.61 tff(5190,plain,
% 8.02/5.61 (v94(constB101) | ![B: $i] : ((~less_3(B)) | (v84(constB101, B) <=> v84(constB100, B)))),
% 8.02/5.61 inference(unit_resolution,[status(thm)],[5189, 5166, 824])).
% 8.02/5.61 tff(5191,plain,
% 8.02/5.61 (![B: $i] : ((~less_3(B)) | (v84(constB101, B) <=> v84(constB100, B)))),
% 8.02/5.61 inference(unit_resolution,[status(thm)],[5190, 5186])).
% 8.02/5.61 tff(5192,plain,
% 8.02/5.61 (((~![B: $i] : ((~less_3(B)) | (v84(constB101, B) <=> v84(constB100, B)))) | ((~less_3(bitIndex2)) | (v84(constB101, bitIndex2) <=> v84(constB100, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB101, B) <=> v84(constB100, B)))) | (~less_3(bitIndex2)) | (v84(constB101, bitIndex2) <=> v84(constB100, bitIndex2)))),
% 8.02/5.61 inference(rewrite,[status(thm)],[])).
% 8.02/5.61 tff(5193,plain,
% 8.02/5.61 ((~![B: $i] : ((~less_3(B)) | (v84(constB101, B) <=> v84(constB100, B)))) | ((~less_3(bitIndex2)) | (v84(constB101, bitIndex2) <=> v84(constB100, bitIndex2)))),
% 8.02/5.61 inference(quant_inst,[status(thm)],[])).
% 8.02/5.61 tff(5194,plain,
% 8.02/5.61 ((~![B: $i] : ((~less_3(B)) | (v84(constB101, B) <=> v84(constB100, B)))) | (~less_3(bitIndex2)) | (v84(constB101, bitIndex2) <=> v84(constB100, bitIndex2))),
% 8.02/5.61 inference(modus_ponens,[status(thm)],[5193, 5192])).
% 8.02/5.61 tff(5195,plain,
% 8.02/5.61 (v84(constB101, bitIndex2) <=> v84(constB100, bitIndex2)),
% 8.02/5.61 inference(unit_resolution,[status(thm)],[5194, 832, 5191])).
% 8.02/5.61 tff(5196,plain,
% 8.02/5.61 (nextState(constB99, constB100) <=> nextState(constB99, constB100)),
% 8.02/5.61 inference(rewrite,[status(thm)],[])).
% 8.02/5.61 tff(5197,axiom,(nextState(constB99, constB100)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_99')).
% 8.02/5.61 tff(5198,plain,
% 8.02/5.61 (nextState(constB99, constB100)),
% 8.02/5.61 inference(modus_ponens,[status(thm)],[5197, 5196])).
% 8.02/5.61 tff(5199,plain,
% 8.02/5.61 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB99, constB100)) | (v94(constB100) <=> (~((~v104(constB100)) | (~v95(constB100))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB99, constB100)) | (v94(constB100) <=> (~((~v104(constB100)) | (~v95(constB100))))))),
% 8.02/5.61 inference(rewrite,[status(thm)],[])).
% 8.02/5.61 tff(5200,plain,
% 8.02/5.61 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB99, constB100)) | (v94(constB100) <=> (~((~v104(constB100)) | (~v95(constB100))))))),
% 8.02/5.61 inference(quant_inst,[status(thm)],[])).
% 8.02/5.61 tff(5201,plain,
% 8.02/5.61 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB99, constB100)) | (v94(constB100) <=> (~((~v104(constB100)) | (~v95(constB100)))))),
% 8.02/5.61 inference(modus_ponens,[status(thm)],[5200, 5199])).
% 8.02/5.61 tff(5202,plain,
% 8.02/5.61 (v94(constB100) <=> (~((~v104(constB100)) | (~v95(constB100))))),
% 8.02/5.61 inference(unit_resolution,[status(thm)],[5201, 5198, 775])).
% 8.02/5.61 tff(5203,plain,
% 8.02/5.61 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB99, constB100)) | (v95(constB100) <=> (~((~v1(constB100)) | (~v96(constB100))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB99, constB100)) | (v95(constB100) <=> (~((~v1(constB100)) | (~v96(constB100))))))),
% 8.02/5.61 inference(rewrite,[status(thm)],[])).
% 8.02/5.61 tff(5204,plain,
% 8.02/5.61 (((~nextState(constB99, constB100)) | (v95(constB100) <=> (~((~v96(constB100)) | (~v1(constB100)))))) <=> ((~nextState(constB99, constB100)) | (v95(constB100) <=> (~((~v1(constB100)) | (~v96(constB100))))))),
% 8.02/5.61 inference(rewrite,[status(thm)],[])).
% 8.02/5.61 tff(5205,plain,
% 8.02/5.61 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB99, constB100)) | (v95(constB100) <=> (~((~v96(constB100)) | (~v1(constB100))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB99, constB100)) | (v95(constB100) <=> (~((~v1(constB100)) | (~v96(constB100)))))))),
% 8.02/5.61 inference(monotonicity,[status(thm)],[5204])).
% 8.02/5.61 tff(5206,plain,
% 8.02/5.61 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB99, constB100)) | (v95(constB100) <=> (~((~v96(constB100)) | (~v1(constB100))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB99, constB100)) | (v95(constB100) <=> (~((~v1(constB100)) | (~v96(constB100))))))),
% 8.02/5.61 inference(transitivity,[status(thm)],[5205, 5203])).
% 8.02/5.61 tff(5207,plain,
% 8.02/5.61 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB99, constB100)) | (v95(constB100) <=> (~((~v96(constB100)) | (~v1(constB100))))))),
% 8.02/5.61 inference(quant_inst,[status(thm)],[])).
% 8.02/5.61 tff(5208,plain,
% 8.02/5.61 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB99, constB100)) | (v95(constB100) <=> (~((~v1(constB100)) | (~v96(constB100)))))),
% 8.02/5.61 inference(modus_ponens,[status(thm)],[5207, 5206])).
% 8.02/5.61 tff(5209,plain,
% 8.02/5.61 (v95(constB100) <=> (~((~v1(constB100)) | (~v96(constB100))))),
% 8.02/5.61 inference(unit_resolution,[status(thm)],[5208, 5198, 795])).
% 8.02/5.61 tff(5210,plain,
% 8.02/5.61 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB99, constB100)) | ((~v96(constB100)) <=> v98(constB100)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB99, constB100)) | ((~v96(constB100)) <=> v98(constB100)))),
% 8.02/5.61 inference(rewrite,[status(thm)],[])).
% 8.02/5.61 tff(5211,plain,
% 8.02/5.61 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB99, constB100)) | ((~v96(constB100)) <=> v98(constB100)))),
% 8.02/5.61 inference(quant_inst,[status(thm)],[])).
% 8.02/5.61 tff(5212,plain,
% 8.02/5.61 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB99, constB100)) | ((~v96(constB100)) <=> v98(constB100))),
% 8.10/5.61 inference(modus_ponens,[status(thm)],[5211, 5210])).
% 8.10/5.61 tff(5213,plain,
% 8.10/5.61 ((~v96(constB100)) <=> v98(constB100)),
% 8.10/5.61 inference(unit_resolution,[status(thm)],[5212, 5198, 860])).
% 8.10/5.61 tff(5214,plain,
% 8.10/5.61 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB99, constB100)) | (v98(constB100) <=> v1(constB99)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB99, constB100)) | (v98(constB100) <=> v1(constB99)))),
% 8.10/5.61 inference(rewrite,[status(thm)],[])).
% 8.10/5.61 tff(5215,plain,
% 8.10/5.61 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB99, constB100)) | (v98(constB100) <=> v1(constB99)))),
% 8.10/5.61 inference(quant_inst,[status(thm)],[])).
% 8.10/5.61 tff(5216,plain,
% 8.10/5.61 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB99, constB100)) | (v98(constB100) <=> v1(constB99))),
% 8.10/5.61 inference(modus_ponens,[status(thm)],[5215, 5214])).
% 8.10/5.61 tff(5217,plain,
% 8.10/5.61 (v98(constB100) <=> v1(constB99)),
% 8.10/5.61 inference(unit_resolution,[status(thm)],[5216, 5198, 874])).
% 8.10/5.61 tff(5218,plain,
% 8.10/5.61 ((~v1(constB99)) <=> (~v1(constB99))),
% 8.10/5.61 inference(rewrite,[status(thm)],[])).
% 8.10/5.61 tff(5219,axiom,(~v1(constB99)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_99')).
% 8.10/5.61 tff(5220,plain,
% 8.10/5.61 (~v1(constB99)),
% 8.10/5.61 inference(modus_ponens,[status(thm)],[5219, 5218])).
% 8.10/5.61 tff(5221,plain,
% 8.10/5.61 ((~(v98(constB100) <=> v1(constB99))) | (~v98(constB100)) | v1(constB99)),
% 8.10/5.61 inference(tautology,[status(thm)],[])).
% 8.10/5.61 tff(5222,plain,
% 8.10/5.61 ((~(v98(constB100) <=> v1(constB99))) | (~v98(constB100))),
% 8.10/5.61 inference(unit_resolution,[status(thm)],[5221, 5220])).
% 8.10/5.61 tff(5223,plain,
% 8.10/5.61 (~v98(constB100)),
% 8.10/5.61 inference(unit_resolution,[status(thm)],[5222, 5217])).
% 8.10/5.61 tff(5224,plain,
% 8.10/5.61 ((~((~v96(constB100)) <=> v98(constB100))) | v96(constB100) | v98(constB100)),
% 8.10/5.61 inference(tautology,[status(thm)],[])).
% 8.10/5.61 tff(5225,plain,
% 8.10/5.61 (v96(constB100)),
% 8.10/5.61 inference(unit_resolution,[status(thm)],[5224, 5223, 5213])).
% 8.10/5.61 tff(5226,plain,
% 8.10/5.61 (v1(constB100) <=> v1(constB100)),
% 8.10/5.61 inference(rewrite,[status(thm)],[])).
% 8.10/5.61 tff(5227,axiom,(v1(constB100)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_100')).
% 8.10/5.61 tff(5228,plain,
% 8.10/5.61 (v1(constB100)),
% 8.10/5.61 inference(modus_ponens,[status(thm)],[5227, 5226])).
% 8.10/5.61 tff(5229,plain,
% 8.10/5.61 ((~((~v1(constB100)) | (~v96(constB100)))) | (~v1(constB100)) | (~v96(constB100))),
% 8.10/5.61 inference(tautology,[status(thm)],[])).
% 8.10/5.61 tff(5230,plain,
% 8.10/5.61 ((~((~v1(constB100)) | (~v96(constB100)))) | (~v96(constB100))),
% 8.10/5.61 inference(unit_resolution,[status(thm)],[5229, 5228])).
% 8.10/5.61 tff(5231,plain,
% 8.10/5.61 (~((~v1(constB100)) | (~v96(constB100)))),
% 8.10/5.61 inference(unit_resolution,[status(thm)],[5230, 5225])).
% 8.10/5.61 tff(5232,plain,
% 8.10/5.61 ((~(v95(constB100) <=> (~((~v1(constB100)) | (~v96(constB100)))))) | v95(constB100) | ((~v1(constB100)) | (~v96(constB100)))),
% 8.10/5.61 inference(tautology,[status(thm)],[])).
% 8.10/5.61 tff(5233,plain,
% 8.10/5.61 (v95(constB100)),
% 8.10/5.61 inference(unit_resolution,[status(thm)],[5232, 5231, 5209])).
% 8.10/5.61 tff(5234,plain,
% 8.10/5.61 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB99, constB100)) | (v104(constB100) <=> v102(constB99)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB99, constB100)) | (v104(constB100) <=> v102(constB99)))),
% 8.10/5.61 inference(rewrite,[status(thm)],[])).
% 8.10/5.61 tff(5235,plain,
% 8.10/5.61 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB99, constB100)) | (v104(constB100) <=> v102(constB99)))),
% 8.10/5.61 inference(quant_inst,[status(thm)],[])).
% 8.10/5.61 tff(5236,plain,
% 8.10/5.61 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB99, constB100)) | (v104(constB100) <=> v102(constB99))),
% 8.10/5.61 inference(modus_ponens,[status(thm)],[5235, 5234])).
% 8.10/5.61 tff(5237,plain,
% 8.10/5.61 (v104(constB100) <=> v102(constB99)),
% 8.10/5.61 inference(unit_resolution,[status(thm)],[5236, 5198, 904])).
% 8.10/5.61 tff(5238,plain,
% 8.10/5.61 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB99) <=> (v105(constB99) | v106(constB99)))),
% 8.10/5.61 inference(quant_inst,[status(thm)],[])).
% 8.10/5.61 tff(5239,plain,
% 8.10/5.61 (v102(constB99) <=> (v105(constB99) | v106(constB99))),
% 8.10/5.61 inference(unit_resolution,[status(thm)],[5238, 915])).
% 8.10/5.61 tff(5240,plain,
% 8.10/5.61 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB99) <=> (~((~v107(constB99)) | (~v120(constB99)))))),
% 8.10/5.61 inference(quant_inst,[status(thm)],[])).
% 8.10/5.61 tff(5241,plain,
% 8.10/5.61 (v106(constB99) <=> (~((~v107(constB99)) | (~v120(constB99))))),
% 8.10/5.61 inference(unit_resolution,[status(thm)],[5240, 927])).
% 8.10/5.61 tff(5242,plain,
% 8.10/5.61 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB99) <=> (v108(constB99) | v119(constB99)))),
% 8.10/5.61 inference(quant_inst,[status(thm)],[])).
% 8.10/5.61 tff(5243,plain,
% 8.10/5.61 (v107(constB99) <=> (v108(constB99) | v119(constB99))),
% 8.10/5.61 inference(unit_resolution,[status(thm)],[5242, 936])).
% 8.10/5.61 tff(5244,plain,
% 8.10/5.61 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB99) <=> (v109(constB99) | v118(constB99)))),
% 8.10/5.61 inference(quant_inst,[status(thm)],[])).
% 8.10/5.61 tff(5245,plain,
% 8.10/5.61 (v108(constB99) <=> (v109(constB99) | v118(constB99))),
% 8.10/5.61 inference(unit_resolution,[status(thm)],[5244, 945])).
% 8.10/5.61 tff(5246,plain,
% 8.10/5.61 ((~![VarCurr: $i] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB99) <=> (v110(constB99) | v117(constB99)))),
% 8.10/5.61 inference(quant_inst,[status(thm)],[])).
% 8.10/5.61 tff(5247,plain,
% 8.10/5.61 (v109(constB99) <=> (v110(constB99) | v117(constB99))),
% 8.10/5.61 inference(unit_resolution,[status(thm)],[5246, 1056])).
% 8.10/5.61 tff(5248,plain,
% 8.10/5.61 ((~![VarCurr: $i] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB99) <=> (v111(constB99) | v116(constB99)))),
% 8.10/5.61 inference(quant_inst,[status(thm)],[])).
% 8.10/5.61 tff(5249,plain,
% 8.10/5.61 (v110(constB99) <=> (v111(constB99) | v116(constB99))),
% 8.10/5.61 inference(unit_resolution,[status(thm)],[5248, 1169])).
% 8.10/5.61 tff(5250,plain,
% 8.10/5.61 ((~![VarCurr: $i] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB99) <=> (v112(constB99) | v115(constB99)))),
% 8.10/5.61 inference(quant_inst,[status(thm)],[])).
% 8.10/5.61 tff(5251,plain,
% 8.10/5.61 (v111(constB99) <=> (v112(constB99) | v115(constB99))),
% 8.10/5.61 inference(unit_resolution,[status(thm)],[5250, 1279])).
% 8.10/5.61 tff(5252,plain,
% 8.10/5.61 ((~![VarCurr: $i] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))) | (v112(constB99) <=> (v113(constB99) | v114(constB99)))),
% 8.10/5.61 inference(quant_inst,[status(thm)],[])).
% 8.10/5.61 tff(5253,plain,
% 8.10/5.61 (v112(constB99) <=> (v113(constB99) | v114(constB99))),
% 8.10/5.61 inference(unit_resolution,[status(thm)],[5252, 1396])).
% 8.10/5.61 tff(5254,plain,
% 8.10/5.61 (((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB99) <=> (~(v84(constB99, bitIndex2) | v84(constB99, bitIndex1) | (~v84(constB99, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB99) <=> (~(v84(constB99, bitIndex2) | v84(constB99, bitIndex1) | (~v84(constB99, bitIndex0))))))),
% 8.10/5.61 inference(rewrite,[status(thm)],[])).
% 8.10/5.61 tff(5255,plain,
% 8.10/5.61 ((v114(constB99) <=> (~(v84(constB99, bitIndex1) | v84(constB99, bitIndex2) | (~v84(constB99, bitIndex0))))) <=> (v114(constB99) <=> (~(v84(constB99, bitIndex2) | v84(constB99, bitIndex1) | (~v84(constB99, bitIndex0)))))),
% 8.10/5.61 inference(rewrite,[status(thm)],[])).
% 8.10/5.61 tff(5256,plain,
% 8.10/5.61 (((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB99) <=> (~(v84(constB99, bitIndex1) | v84(constB99, bitIndex2) | (~v84(constB99, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB99) <=> (~(v84(constB99, bitIndex2) | v84(constB99, bitIndex1) | (~v84(constB99, bitIndex0))))))),
% 8.10/5.61 inference(monotonicity,[status(thm)],[5255])).
% 8.10/5.61 tff(5257,plain,
% 8.10/5.61 (((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB99) <=> (~(v84(constB99, bitIndex1) | v84(constB99, bitIndex2) | (~v84(constB99, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB99) <=> (~(v84(constB99, bitIndex2) | v84(constB99, bitIndex1) | (~v84(constB99, bitIndex0))))))),
% 8.10/5.61 inference(transitivity,[status(thm)],[5256, 5254])).
% 8.10/5.61 tff(5258,plain,
% 8.10/5.61 ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB99) <=> (~(v84(constB99, bitIndex1) | v84(constB99, bitIndex2) | (~v84(constB99, bitIndex0)))))),
% 8.10/5.61 inference(quant_inst,[status(thm)],[])).
% 8.10/5.61 tff(5259,plain,
% 8.10/5.61 ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB99) <=> (~(v84(constB99, bitIndex2) | v84(constB99, bitIndex1) | (~v84(constB99, bitIndex0)))))),
% 8.10/5.61 inference(modus_ponens,[status(thm)],[5258, 5257])).
% 8.10/5.61 tff(5260,plain,
% 8.10/5.61 (v114(constB99) <=> (~(v84(constB99, bitIndex2) | v84(constB99, bitIndex1) | (~v84(constB99, bitIndex0))))),
% 8.10/5.61 inference(unit_resolution,[status(thm)],[5259, 1411])).
% 8.10/5.61 tff(5261,plain,
% 8.10/5.61 (nextState(constB98, constB99) <=> nextState(constB98, constB99)),
% 8.10/5.61 inference(rewrite,[status(thm)],[])).
% 8.10/5.61 tff(5262,axiom,(nextState(constB98, constB99)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_98')).
% 8.10/5.61 tff(5263,plain,
% 8.10/5.61 (nextState(constB98, constB99)),
% 8.10/5.61 inference(modus_ponens,[status(thm)],[5262, 5261])).
% 8.10/5.61 tff(5264,plain,
% 8.10/5.61 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB98, constB99)) | (v94(constB99) <=> (~((~v104(constB99)) | (~v95(constB99))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB98, constB99)) | (v94(constB99) <=> (~((~v104(constB99)) | (~v95(constB99))))))),
% 8.10/5.62 inference(rewrite,[status(thm)],[])).
% 8.10/5.62 tff(5265,plain,
% 8.10/5.62 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB98, constB99)) | (v94(constB99) <=> (~((~v104(constB99)) | (~v95(constB99))))))),
% 8.10/5.62 inference(quant_inst,[status(thm)],[])).
% 8.10/5.62 tff(5266,plain,
% 8.10/5.62 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB98, constB99)) | (v94(constB99) <=> (~((~v104(constB99)) | (~v95(constB99)))))),
% 8.10/5.62 inference(modus_ponens,[status(thm)],[5265, 5264])).
% 8.10/5.62 tff(5267,plain,
% 8.10/5.62 (v94(constB99) <=> (~((~v104(constB99)) | (~v95(constB99))))),
% 8.10/5.62 inference(unit_resolution,[status(thm)],[5266, 5263, 775])).
% 8.10/5.62 tff(5268,plain,
% 8.10/5.62 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB98, constB99)) | (v95(constB99) <=> (~((~v1(constB99)) | (~v96(constB99))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB98, constB99)) | (v95(constB99) <=> (~((~v1(constB99)) | (~v96(constB99))))))),
% 8.10/5.62 inference(rewrite,[status(thm)],[])).
% 8.10/5.62 tff(5269,plain,
% 8.10/5.62 (((~nextState(constB98, constB99)) | (v95(constB99) <=> (~((~v96(constB99)) | (~v1(constB99)))))) <=> ((~nextState(constB98, constB99)) | (v95(constB99) <=> (~((~v1(constB99)) | (~v96(constB99))))))),
% 8.10/5.62 inference(rewrite,[status(thm)],[])).
% 8.10/5.62 tff(5270,plain,
% 8.10/5.62 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB98, constB99)) | (v95(constB99) <=> (~((~v96(constB99)) | (~v1(constB99))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB98, constB99)) | (v95(constB99) <=> (~((~v1(constB99)) | (~v96(constB99)))))))),
% 8.10/5.62 inference(monotonicity,[status(thm)],[5269])).
% 8.10/5.62 tff(5271,plain,
% 8.10/5.62 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB98, constB99)) | (v95(constB99) <=> (~((~v96(constB99)) | (~v1(constB99))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB98, constB99)) | (v95(constB99) <=> (~((~v1(constB99)) | (~v96(constB99))))))),
% 8.10/5.62 inference(transitivity,[status(thm)],[5270, 5268])).
% 8.10/5.62 tff(5272,plain,
% 8.10/5.62 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB98, constB99)) | (v95(constB99) <=> (~((~v96(constB99)) | (~v1(constB99))))))),
% 8.10/5.62 inference(quant_inst,[status(thm)],[])).
% 8.10/5.62 tff(5273,plain,
% 8.10/5.62 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB98, constB99)) | (v95(constB99) <=> (~((~v1(constB99)) | (~v96(constB99)))))),
% 8.10/5.62 inference(modus_ponens,[status(thm)],[5272, 5271])).
% 8.10/5.62 tff(5274,plain,
% 8.10/5.62 (v95(constB99) <=> (~((~v1(constB99)) | (~v96(constB99))))),
% 8.10/5.62 inference(unit_resolution,[status(thm)],[5273, 5263, 795])).
% 8.10/5.62 tff(5275,plain,
% 8.10/5.62 (((~v1(constB99)) | (~v96(constB99))) | v1(constB99)),
% 8.10/5.62 inference(tautology,[status(thm)],[])).
% 8.10/5.62 tff(5276,plain,
% 8.10/5.62 ((~v1(constB99)) | (~v96(constB99))),
% 8.10/5.62 inference(unit_resolution,[status(thm)],[5275, 5220])).
% 8.10/5.62 tff(5277,plain,
% 8.10/5.62 ((~(v95(constB99) <=> (~((~v1(constB99)) | (~v96(constB99)))))) | (~v95(constB99)) | (~((~v1(constB99)) | (~v96(constB99))))),
% 8.10/5.62 inference(tautology,[status(thm)],[])).
% 8.10/5.62 tff(5278,plain,
% 8.10/5.62 ((~(v95(constB99) <=> (~((~v1(constB99)) | (~v96(constB99)))))) | (~v95(constB99))),
% 8.10/5.62 inference(unit_resolution,[status(thm)],[5277, 5276])).
% 8.10/5.62 tff(5279,plain,
% 8.10/5.62 (~v95(constB99)),
% 8.10/5.62 inference(unit_resolution,[status(thm)],[5278, 5274])).
% 8.10/5.62 tff(5280,plain,
% 8.10/5.62 (((~v104(constB99)) | (~v95(constB99))) | v95(constB99)),
% 8.10/5.62 inference(tautology,[status(thm)],[])).
% 8.10/5.62 tff(5281,plain,
% 8.10/5.62 ((~v104(constB99)) | (~v95(constB99))),
% 8.10/5.62 inference(unit_resolution,[status(thm)],[5280, 5279])).
% 8.10/5.62 tff(5282,plain,
% 8.10/5.62 ((~(v94(constB99) <=> (~((~v104(constB99)) | (~v95(constB99)))))) | (~v94(constB99)) | (~((~v104(constB99)) | (~v95(constB99))))),
% 8.10/5.62 inference(tautology,[status(thm)],[])).
% 8.10/5.62 tff(5283,plain,
% 8.10/5.62 (~v94(constB99)),
% 8.10/5.62 inference(unit_resolution,[status(thm)],[5282, 5281, 5267])).
% 8.10/5.62 tff(5284,plain,
% 8.10/5.62 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB99) | (~nextState(constB98, constB99)) | ![B: $i] : ((~less_3(B)) | (v84(constB99, B) <=> v84(constB98, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB99) | (~nextState(constB98, constB99)) | ![B: $i] : ((~less_3(B)) | (v84(constB99, B) <=> v84(constB98, B))))),
% 8.10/5.62 inference(rewrite,[status(thm)],[])).
% 8.10/5.62 tff(5285,plain,
% 8.10/5.62 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB99) | (~nextState(constB98, constB99)) | ![B: $i] : ((~less_3(B)) | (v84(constB99, B) <=> v84(constB98, B))))),
% 8.10/5.62 inference(quant_inst,[status(thm)],[])).
% 8.10/5.62 tff(5286,plain,
% 8.10/5.62 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB99) | (~nextState(constB98, constB99)) | ![B: $i] : ((~less_3(B)) | (v84(constB99, B) <=> v84(constB98, B)))),
% 8.10/5.62 inference(modus_ponens,[status(thm)],[5285, 5284])).
% 8.10/5.62 tff(5287,plain,
% 8.10/5.62 (v94(constB99) | ![B: $i] : ((~less_3(B)) | (v84(constB99, B) <=> v84(constB98, B)))),
% 8.10/5.62 inference(unit_resolution,[status(thm)],[5286, 5263, 824])).
% 8.10/5.62 tff(5288,plain,
% 8.10/5.62 (![B: $i] : ((~less_3(B)) | (v84(constB99, B) <=> v84(constB98, B)))),
% 8.10/5.62 inference(unit_resolution,[status(thm)],[5287, 5283])).
% 8.10/5.62 tff(5289,plain,
% 8.10/5.62 (((~![B: $i] : ((~less_3(B)) | (v84(constB99, B) <=> v84(constB98, B)))) | ((~less_3(bitIndex2)) | (v84(constB99, bitIndex2) <=> v84(constB98, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB99, B) <=> v84(constB98, B)))) | (~less_3(bitIndex2)) | (v84(constB99, bitIndex2) <=> v84(constB98, bitIndex2)))),
% 8.10/5.62 inference(rewrite,[status(thm)],[])).
% 8.10/5.62 tff(5290,plain,
% 8.10/5.62 ((~![B: $i] : ((~less_3(B)) | (v84(constB99, B) <=> v84(constB98, B)))) | ((~less_3(bitIndex2)) | (v84(constB99, bitIndex2) <=> v84(constB98, bitIndex2)))),
% 8.10/5.62 inference(quant_inst,[status(thm)],[])).
% 8.10/5.62 tff(5291,plain,
% 8.10/5.62 ((~![B: $i] : ((~less_3(B)) | (v84(constB99, B) <=> v84(constB98, B)))) | (~less_3(bitIndex2)) | (v84(constB99, bitIndex2) <=> v84(constB98, bitIndex2))),
% 8.10/5.62 inference(modus_ponens,[status(thm)],[5290, 5289])).
% 8.10/5.62 tff(5292,plain,
% 8.10/5.62 (v84(constB99, bitIndex2) <=> v84(constB98, bitIndex2)),
% 8.10/5.62 inference(unit_resolution,[status(thm)],[5291, 832, 5288])).
% 8.10/5.62 tff(5293,plain,
% 8.10/5.62 (nextState(constB97, constB98) <=> nextState(constB97, constB98)),
% 8.10/5.62 inference(rewrite,[status(thm)],[])).
% 8.10/5.62 tff(5294,axiom,(nextState(constB97, constB98)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_97')).
% 8.10/5.62 tff(5295,plain,
% 8.10/5.62 (nextState(constB97, constB98)),
% 8.10/5.62 inference(modus_ponens,[status(thm)],[5294, 5293])).
% 8.10/5.62 tff(5296,plain,
% 8.10/5.62 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB97, constB98)) | (v94(constB98) <=> (~((~v104(constB98)) | (~v95(constB98))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB97, constB98)) | (v94(constB98) <=> (~((~v104(constB98)) | (~v95(constB98))))))),
% 8.10/5.62 inference(rewrite,[status(thm)],[])).
% 8.10/5.62 tff(5297,plain,
% 8.10/5.62 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB97, constB98)) | (v94(constB98) <=> (~((~v104(constB98)) | (~v95(constB98))))))),
% 8.10/5.62 inference(quant_inst,[status(thm)],[])).
% 8.10/5.62 tff(5298,plain,
% 8.10/5.62 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB97, constB98)) | (v94(constB98) <=> (~((~v104(constB98)) | (~v95(constB98)))))),
% 8.10/5.62 inference(modus_ponens,[status(thm)],[5297, 5296])).
% 8.10/5.62 tff(5299,plain,
% 8.10/5.62 (v94(constB98) <=> (~((~v104(constB98)) | (~v95(constB98))))),
% 8.10/5.62 inference(unit_resolution,[status(thm)],[5298, 5295, 775])).
% 8.10/5.62 tff(5300,plain,
% 8.10/5.62 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB97, constB98)) | (v95(constB98) <=> (~((~v1(constB98)) | (~v96(constB98))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB97, constB98)) | (v95(constB98) <=> (~((~v1(constB98)) | (~v96(constB98))))))),
% 8.10/5.62 inference(rewrite,[status(thm)],[])).
% 8.10/5.62 tff(5301,plain,
% 8.10/5.62 (((~nextState(constB97, constB98)) | (v95(constB98) <=> (~((~v96(constB98)) | (~v1(constB98)))))) <=> ((~nextState(constB97, constB98)) | (v95(constB98) <=> (~((~v1(constB98)) | (~v96(constB98))))))),
% 8.10/5.62 inference(rewrite,[status(thm)],[])).
% 8.10/5.62 tff(5302,plain,
% 8.10/5.62 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB97, constB98)) | (v95(constB98) <=> (~((~v96(constB98)) | (~v1(constB98))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB97, constB98)) | (v95(constB98) <=> (~((~v1(constB98)) | (~v96(constB98)))))))),
% 8.10/5.62 inference(monotonicity,[status(thm)],[5301])).
% 8.10/5.62 tff(5303,plain,
% 8.10/5.62 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB97, constB98)) | (v95(constB98) <=> (~((~v96(constB98)) | (~v1(constB98))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB97, constB98)) | (v95(constB98) <=> (~((~v1(constB98)) | (~v96(constB98))))))),
% 8.10/5.62 inference(transitivity,[status(thm)],[5302, 5300])).
% 8.10/5.62 tff(5304,plain,
% 8.10/5.62 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB97, constB98)) | (v95(constB98) <=> (~((~v96(constB98)) | (~v1(constB98))))))),
% 8.10/5.62 inference(quant_inst,[status(thm)],[])).
% 8.10/5.62 tff(5305,plain,
% 8.10/5.62 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB97, constB98)) | (v95(constB98) <=> (~((~v1(constB98)) | (~v96(constB98)))))),
% 8.10/5.62 inference(modus_ponens,[status(thm)],[5304, 5303])).
% 8.10/5.62 tff(5306,plain,
% 8.10/5.62 (v95(constB98) <=> (~((~v1(constB98)) | (~v96(constB98))))),
% 8.10/5.62 inference(unit_resolution,[status(thm)],[5305, 5295, 795])).
% 8.10/5.62 tff(5307,plain,
% 8.10/5.62 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB97, constB98)) | ((~v96(constB98)) <=> v98(constB98)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB97, constB98)) | ((~v96(constB98)) <=> v98(constB98)))),
% 8.10/5.62 inference(rewrite,[status(thm)],[])).
% 8.10/5.62 tff(5308,plain,
% 8.10/5.62 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB97, constB98)) | ((~v96(constB98)) <=> v98(constB98)))),
% 8.10/5.62 inference(quant_inst,[status(thm)],[])).
% 8.10/5.62 tff(5309,plain,
% 8.10/5.62 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB97, constB98)) | ((~v96(constB98)) <=> v98(constB98))),
% 8.10/5.62 inference(modus_ponens,[status(thm)],[5308, 5307])).
% 8.10/5.62 tff(5310,plain,
% 8.10/5.62 ((~v96(constB98)) <=> v98(constB98)),
% 8.10/5.62 inference(unit_resolution,[status(thm)],[5309, 5295, 860])).
% 8.10/5.62 tff(5311,plain,
% 8.10/5.62 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB97, constB98)) | (v98(constB98) <=> v1(constB97)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB97, constB98)) | (v98(constB98) <=> v1(constB97)))),
% 8.10/5.62 inference(rewrite,[status(thm)],[])).
% 8.10/5.62 tff(5312,plain,
% 8.10/5.62 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB97, constB98)) | (v98(constB98) <=> v1(constB97)))),
% 8.10/5.62 inference(quant_inst,[status(thm)],[])).
% 8.10/5.62 tff(5313,plain,
% 8.10/5.62 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB97, constB98)) | (v98(constB98) <=> v1(constB97))),
% 8.10/5.62 inference(modus_ponens,[status(thm)],[5312, 5311])).
% 8.10/5.62 tff(5314,plain,
% 8.10/5.62 (v98(constB98) <=> v1(constB97)),
% 8.10/5.62 inference(unit_resolution,[status(thm)],[5313, 5295, 874])).
% 8.10/5.62 tff(5315,plain,
% 8.10/5.62 ((~v1(constB97)) <=> (~v1(constB97))),
% 8.10/5.62 inference(rewrite,[status(thm)],[])).
% 8.10/5.62 tff(5316,axiom,(~v1(constB97)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_97')).
% 8.10/5.62 tff(5317,plain,
% 8.10/5.62 (~v1(constB97)),
% 8.10/5.62 inference(modus_ponens,[status(thm)],[5316, 5315])).
% 8.10/5.62 tff(5318,plain,
% 8.10/5.62 ((~(v98(constB98) <=> v1(constB97))) | (~v98(constB98)) | v1(constB97)),
% 8.10/5.62 inference(tautology,[status(thm)],[])).
% 8.10/5.62 tff(5319,plain,
% 8.10/5.62 ((~(v98(constB98) <=> v1(constB97))) | (~v98(constB98))),
% 8.10/5.62 inference(unit_resolution,[status(thm)],[5318, 5317])).
% 8.10/5.62 tff(5320,plain,
% 8.10/5.62 (~v98(constB98)),
% 8.10/5.62 inference(unit_resolution,[status(thm)],[5319, 5314])).
% 8.10/5.62 tff(5321,plain,
% 8.10/5.62 ((~((~v96(constB98)) <=> v98(constB98))) | v96(constB98) | v98(constB98)),
% 8.10/5.62 inference(tautology,[status(thm)],[])).
% 8.10/5.62 tff(5322,plain,
% 8.10/5.62 (v96(constB98)),
% 8.10/5.62 inference(unit_resolution,[status(thm)],[5321, 5320, 5310])).
% 8.10/5.62 tff(5323,plain,
% 8.10/5.62 (v1(constB98) <=> v1(constB98)),
% 8.10/5.62 inference(rewrite,[status(thm)],[])).
% 8.10/5.62 tff(5324,axiom,(v1(constB98)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_98')).
% 8.10/5.62 tff(5325,plain,
% 8.10/5.62 (v1(constB98)),
% 8.10/5.62 inference(modus_ponens,[status(thm)],[5324, 5323])).
% 8.10/5.62 tff(5326,plain,
% 8.10/5.62 ((~((~v1(constB98)) | (~v96(constB98)))) | (~v1(constB98)) | (~v96(constB98))),
% 8.10/5.62 inference(tautology,[status(thm)],[])).
% 8.10/5.62 tff(5327,plain,
% 8.10/5.62 ((~((~v1(constB98)) | (~v96(constB98)))) | (~v96(constB98))),
% 8.10/5.62 inference(unit_resolution,[status(thm)],[5326, 5325])).
% 8.10/5.62 tff(5328,plain,
% 8.10/5.62 (~((~v1(constB98)) | (~v96(constB98)))),
% 8.10/5.62 inference(unit_resolution,[status(thm)],[5327, 5322])).
% 8.10/5.62 tff(5329,plain,
% 8.10/5.62 ((~(v95(constB98) <=> (~((~v1(constB98)) | (~v96(constB98)))))) | v95(constB98) | ((~v1(constB98)) | (~v96(constB98)))),
% 8.10/5.62 inference(tautology,[status(thm)],[])).
% 8.10/5.62 tff(5330,plain,
% 8.10/5.62 (v95(constB98)),
% 8.10/5.62 inference(unit_resolution,[status(thm)],[5329, 5328, 5306])).
% 8.10/5.62 tff(5331,plain,
% 8.10/5.62 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB97, constB98)) | (v104(constB98) <=> v102(constB97)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB97, constB98)) | (v104(constB98) <=> v102(constB97)))),
% 8.10/5.62 inference(rewrite,[status(thm)],[])).
% 8.10/5.62 tff(5332,plain,
% 8.10/5.62 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB97, constB98)) | (v104(constB98) <=> v102(constB97)))),
% 8.10/5.62 inference(quant_inst,[status(thm)],[])).
% 8.10/5.62 tff(5333,plain,
% 8.10/5.62 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB97, constB98)) | (v104(constB98) <=> v102(constB97))),
% 8.10/5.62 inference(modus_ponens,[status(thm)],[5332, 5331])).
% 8.10/5.62 tff(5334,plain,
% 8.10/5.62 (v104(constB98) <=> v102(constB97)),
% 8.10/5.62 inference(unit_resolution,[status(thm)],[5333, 5295, 904])).
% 8.10/5.62 tff(5335,plain,
% 8.10/5.62 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB97) <=> (v105(constB97) | v106(constB97)))),
% 8.10/5.62 inference(quant_inst,[status(thm)],[])).
% 8.10/5.62 tff(5336,plain,
% 8.10/5.62 (v102(constB97) <=> (v105(constB97) | v106(constB97))),
% 8.10/5.62 inference(unit_resolution,[status(thm)],[5335, 915])).
% 8.10/5.62 tff(5337,plain,
% 8.10/5.62 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB97) <=> (~((~v107(constB97)) | (~v120(constB97)))))),
% 8.10/5.62 inference(quant_inst,[status(thm)],[])).
% 8.10/5.62 tff(5338,plain,
% 8.10/5.62 (v106(constB97) <=> (~((~v107(constB97)) | (~v120(constB97))))),
% 8.10/5.62 inference(unit_resolution,[status(thm)],[5337, 927])).
% 8.10/5.62 tff(5339,plain,
% 8.10/5.62 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB97) <=> (v108(constB97) | v119(constB97)))),
% 8.10/5.62 inference(quant_inst,[status(thm)],[])).
% 8.10/5.62 tff(5340,plain,
% 8.10/5.62 (v107(constB97) <=> (v108(constB97) | v119(constB97))),
% 8.10/5.62 inference(unit_resolution,[status(thm)],[5339, 936])).
% 8.10/5.62 tff(5341,plain,
% 8.10/5.62 (((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB97) <=> (~((~v84(constB97, bitIndex2)) | (~v84(constB97, bitIndex1)) | v84(constB97, bitIndex0))))) <=> ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB97) <=> (~((~v84(constB97, bitIndex2)) | (~v84(constB97, bitIndex1)) | v84(constB97, bitIndex0)))))),
% 8.10/5.62 inference(rewrite,[status(thm)],[])).
% 8.10/5.62 tff(5342,plain,
% 8.10/5.62 ((v119(constB97) <=> (~(v84(constB97, bitIndex0) | (~v84(constB97, bitIndex1)) | (~v84(constB97, bitIndex2))))) <=> (v119(constB97) <=> (~((~v84(constB97, bitIndex2)) | (~v84(constB97, bitIndex1)) | v84(constB97, bitIndex0))))),
% 8.10/5.62 inference(rewrite,[status(thm)],[])).
% 8.10/5.62 tff(5343,plain,
% 8.10/5.62 (((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB97) <=> (~(v84(constB97, bitIndex0) | (~v84(constB97, bitIndex1)) | (~v84(constB97, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB97) <=> (~((~v84(constB97, bitIndex2)) | (~v84(constB97, bitIndex1)) | v84(constB97, bitIndex0)))))),
% 8.10/5.62 inference(monotonicity,[status(thm)],[5342])).
% 8.10/5.62 tff(5344,plain,
% 8.10/5.62 (((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB97) <=> (~(v84(constB97, bitIndex0) | (~v84(constB97, bitIndex1)) | (~v84(constB97, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB97) <=> (~((~v84(constB97, bitIndex2)) | (~v84(constB97, bitIndex1)) | v84(constB97, bitIndex0)))))),
% 8.10/5.62 inference(transitivity,[status(thm)],[5343, 5341])).
% 8.10/5.62 tff(5345,plain,
% 8.10/5.62 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB97) <=> (~(v84(constB97, bitIndex0) | (~v84(constB97, bitIndex1)) | (~v84(constB97, bitIndex2)))))),
% 8.10/5.62 inference(quant_inst,[status(thm)],[])).
% 8.10/5.62 tff(5346,plain,
% 8.10/5.62 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB97) <=> (~((~v84(constB97, bitIndex2)) | (~v84(constB97, bitIndex1)) | v84(constB97, bitIndex0))))),
% 8.10/5.62 inference(modus_ponens,[status(thm)],[5345, 5344])).
% 8.10/5.62 tff(5347,plain,
% 8.10/5.62 (v119(constB97) <=> (~((~v84(constB97, bitIndex2)) | (~v84(constB97, bitIndex1)) | v84(constB97, bitIndex0)))),
% 8.10/5.62 inference(unit_resolution,[status(thm)],[5346, 1511])).
% 8.10/5.62 tff(5348,plain,
% 8.10/5.62 (nextState(constB96, constB97) <=> nextState(constB96, constB97)),
% 8.10/5.62 inference(rewrite,[status(thm)],[])).
% 8.10/5.62 tff(5349,axiom,(nextState(constB96, constB97)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_96')).
% 8.10/5.62 tff(5350,plain,
% 8.10/5.62 (nextState(constB96, constB97)),
% 8.10/5.62 inference(modus_ponens,[status(thm)],[5349, 5348])).
% 8.10/5.62 tff(5351,plain,
% 8.10/5.62 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB96, constB97)) | (v94(constB97) <=> (~((~v104(constB97)) | (~v95(constB97))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB96, constB97)) | (v94(constB97) <=> (~((~v104(constB97)) | (~v95(constB97))))))),
% 8.10/5.62 inference(rewrite,[status(thm)],[])).
% 8.10/5.62 tff(5352,plain,
% 8.10/5.62 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB96, constB97)) | (v94(constB97) <=> (~((~v104(constB97)) | (~v95(constB97))))))),
% 8.10/5.62 inference(quant_inst,[status(thm)],[])).
% 8.10/5.62 tff(5353,plain,
% 8.10/5.62 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB96, constB97)) | (v94(constB97) <=> (~((~v104(constB97)) | (~v95(constB97)))))),
% 8.10/5.62 inference(modus_ponens,[status(thm)],[5352, 5351])).
% 8.10/5.62 tff(5354,plain,
% 8.10/5.62 (v94(constB97) <=> (~((~v104(constB97)) | (~v95(constB97))))),
% 8.10/5.62 inference(unit_resolution,[status(thm)],[5353, 5350, 775])).
% 8.10/5.62 tff(5355,plain,
% 8.10/5.62 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB96, constB97)) | (v95(constB97) <=> (~((~v1(constB97)) | (~v96(constB97))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB96, constB97)) | (v95(constB97) <=> (~((~v1(constB97)) | (~v96(constB97))))))),
% 8.10/5.62 inference(rewrite,[status(thm)],[])).
% 8.10/5.62 tff(5356,plain,
% 8.10/5.62 (((~nextState(constB96, constB97)) | (v95(constB97) <=> (~((~v96(constB97)) | (~v1(constB97)))))) <=> ((~nextState(constB96, constB97)) | (v95(constB97) <=> (~((~v1(constB97)) | (~v96(constB97))))))),
% 8.10/5.62 inference(rewrite,[status(thm)],[])).
% 8.10/5.62 tff(5357,plain,
% 8.10/5.62 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB96, constB97)) | (v95(constB97) <=> (~((~v96(constB97)) | (~v1(constB97))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB96, constB97)) | (v95(constB97) <=> (~((~v1(constB97)) | (~v96(constB97)))))))),
% 8.10/5.62 inference(monotonicity,[status(thm)],[5356])).
% 8.10/5.62 tff(5358,plain,
% 8.10/5.62 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB96, constB97)) | (v95(constB97) <=> (~((~v96(constB97)) | (~v1(constB97))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB96, constB97)) | (v95(constB97) <=> (~((~v1(constB97)) | (~v96(constB97))))))),
% 8.10/5.62 inference(transitivity,[status(thm)],[5357, 5355])).
% 8.10/5.62 tff(5359,plain,
% 8.10/5.62 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB96, constB97)) | (v95(constB97) <=> (~((~v96(constB97)) | (~v1(constB97))))))),
% 8.10/5.62 inference(quant_inst,[status(thm)],[])).
% 8.10/5.62 tff(5360,plain,
% 8.10/5.62 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB96, constB97)) | (v95(constB97) <=> (~((~v1(constB97)) | (~v96(constB97)))))),
% 8.10/5.62 inference(modus_ponens,[status(thm)],[5359, 5358])).
% 8.10/5.62 tff(5361,plain,
% 8.10/5.62 (v95(constB97) <=> (~((~v1(constB97)) | (~v96(constB97))))),
% 8.10/5.62 inference(unit_resolution,[status(thm)],[5360, 5350, 795])).
% 8.10/5.62 tff(5362,plain,
% 8.10/5.62 (((~v1(constB97)) | (~v96(constB97))) | v1(constB97)),
% 8.10/5.62 inference(tautology,[status(thm)],[])).
% 8.10/5.62 tff(5363,plain,
% 8.10/5.62 ((~v1(constB97)) | (~v96(constB97))),
% 8.10/5.62 inference(unit_resolution,[status(thm)],[5362, 5317])).
% 8.10/5.62 tff(5364,plain,
% 8.10/5.62 ((~(v95(constB97) <=> (~((~v1(constB97)) | (~v96(constB97)))))) | (~v95(constB97)) | (~((~v1(constB97)) | (~v96(constB97))))),
% 8.10/5.62 inference(tautology,[status(thm)],[])).
% 8.10/5.62 tff(5365,plain,
% 8.10/5.62 ((~(v95(constB97) <=> (~((~v1(constB97)) | (~v96(constB97)))))) | (~v95(constB97))),
% 8.10/5.62 inference(unit_resolution,[status(thm)],[5364, 5363])).
% 8.10/5.62 tff(5366,plain,
% 8.10/5.62 (~v95(constB97)),
% 8.10/5.62 inference(unit_resolution,[status(thm)],[5365, 5361])).
% 8.10/5.62 tff(5367,plain,
% 8.10/5.62 (((~v104(constB97)) | (~v95(constB97))) | v95(constB97)),
% 8.10/5.62 inference(tautology,[status(thm)],[])).
% 8.10/5.62 tff(5368,plain,
% 8.10/5.62 ((~v104(constB97)) | (~v95(constB97))),
% 8.10/5.62 inference(unit_resolution,[status(thm)],[5367, 5366])).
% 8.10/5.62 tff(5369,plain,
% 8.10/5.62 ((~(v94(constB97) <=> (~((~v104(constB97)) | (~v95(constB97)))))) | (~v94(constB97)) | (~((~v104(constB97)) | (~v95(constB97))))),
% 8.10/5.62 inference(tautology,[status(thm)],[])).
% 8.10/5.62 tff(5370,plain,
% 8.10/5.62 (~v94(constB97)),
% 8.10/5.62 inference(unit_resolution,[status(thm)],[5369, 5368, 5354])).
% 8.10/5.62 tff(5371,plain,
% 8.10/5.62 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB97) | (~nextState(constB96, constB97)) | ![B: $i] : ((~less_3(B)) | (v84(constB97, B) <=> v84(constB96, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB97) | (~nextState(constB96, constB97)) | ![B: $i] : ((~less_3(B)) | (v84(constB97, B) <=> v84(constB96, B))))),
% 8.10/5.62 inference(rewrite,[status(thm)],[])).
% 8.10/5.62 tff(5372,plain,
% 8.10/5.62 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB97) | (~nextState(constB96, constB97)) | ![B: $i] : ((~less_3(B)) | (v84(constB97, B) <=> v84(constB96, B))))),
% 8.10/5.62 inference(quant_inst,[status(thm)],[])).
% 8.10/5.62 tff(5373,plain,
% 8.10/5.62 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB97) | (~nextState(constB96, constB97)) | ![B: $i] : ((~less_3(B)) | (v84(constB97, B) <=> v84(constB96, B)))),
% 8.10/5.62 inference(modus_ponens,[status(thm)],[5372, 5371])).
% 8.10/5.62 tff(5374,plain,
% 8.10/5.62 (v94(constB97) | ![B: $i] : ((~less_3(B)) | (v84(constB97, B) <=> v84(constB96, B)))),
% 8.10/5.62 inference(unit_resolution,[status(thm)],[5373, 5350, 824])).
% 8.10/5.62 tff(5375,plain,
% 8.10/5.62 (![B: $i] : ((~less_3(B)) | (v84(constB97, B) <=> v84(constB96, B)))),
% 8.10/5.62 inference(unit_resolution,[status(thm)],[5374, 5370])).
% 8.10/5.62 tff(5376,plain,
% 8.10/5.62 (((~![B: $i] : ((~less_3(B)) | (v84(constB97, B) <=> v84(constB96, B)))) | ((~less_3(bitIndex2)) | (v84(constB97, bitIndex2) <=> v84(constB96, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB97, B) <=> v84(constB96, B)))) | (~less_3(bitIndex2)) | (v84(constB97, bitIndex2) <=> v84(constB96, bitIndex2)))),
% 8.10/5.62 inference(rewrite,[status(thm)],[])).
% 8.10/5.62 tff(5377,plain,
% 8.10/5.62 ((~![B: $i] : ((~less_3(B)) | (v84(constB97, B) <=> v84(constB96, B)))) | ((~less_3(bitIndex2)) | (v84(constB97, bitIndex2) <=> v84(constB96, bitIndex2)))),
% 8.10/5.62 inference(quant_inst,[status(thm)],[])).
% 8.10/5.62 tff(5378,plain,
% 8.10/5.62 ((~![B: $i] : ((~less_3(B)) | (v84(constB97, B) <=> v84(constB96, B)))) | (~less_3(bitIndex2)) | (v84(constB97, bitIndex2) <=> v84(constB96, bitIndex2))),
% 8.10/5.62 inference(modus_ponens,[status(thm)],[5377, 5376])).
% 8.10/5.62 tff(5379,plain,
% 8.10/5.62 (v84(constB97, bitIndex2) <=> v84(constB96, bitIndex2)),
% 8.10/5.62 inference(unit_resolution,[status(thm)],[5378, 832, 5375])).
% 8.10/5.62 tff(5380,plain,
% 8.10/5.62 (nextState(constB95, constB96) <=> nextState(constB95, constB96)),
% 8.10/5.62 inference(rewrite,[status(thm)],[])).
% 8.10/5.62 tff(5381,axiom,(nextState(constB95, constB96)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_95')).
% 8.10/5.62 tff(5382,plain,
% 8.10/5.62 (nextState(constB95, constB96)),
% 8.10/5.62 inference(modus_ponens,[status(thm)],[5381, 5380])).
% 8.10/5.62 tff(5383,plain,
% 8.10/5.62 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB95, constB96)) | (v94(constB96) <=> (~((~v104(constB96)) | (~v95(constB96))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB95, constB96)) | (v94(constB96) <=> (~((~v104(constB96)) | (~v95(constB96))))))),
% 8.10/5.62 inference(rewrite,[status(thm)],[])).
% 8.10/5.62 tff(5384,plain,
% 8.10/5.62 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB95, constB96)) | (v94(constB96) <=> (~((~v104(constB96)) | (~v95(constB96))))))),
% 8.10/5.62 inference(quant_inst,[status(thm)],[])).
% 8.10/5.62 tff(5385,plain,
% 8.10/5.62 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB95, constB96)) | (v94(constB96) <=> (~((~v104(constB96)) | (~v95(constB96)))))),
% 8.10/5.62 inference(modus_ponens,[status(thm)],[5384, 5383])).
% 8.10/5.62 tff(5386,plain,
% 8.10/5.62 (v94(constB96) <=> (~((~v104(constB96)) | (~v95(constB96))))),
% 8.10/5.62 inference(unit_resolution,[status(thm)],[5385, 5382, 775])).
% 8.10/5.62 tff(5387,plain,
% 8.10/5.62 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB95, constB96)) | (v95(constB96) <=> (~((~v1(constB96)) | (~v96(constB96))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB95, constB96)) | (v95(constB96) <=> (~((~v1(constB96)) | (~v96(constB96))))))),
% 8.10/5.62 inference(rewrite,[status(thm)],[])).
% 8.10/5.62 tff(5388,plain,
% 8.10/5.62 (((~nextState(constB95, constB96)) | (v95(constB96) <=> (~((~v96(constB96)) | (~v1(constB96)))))) <=> ((~nextState(constB95, constB96)) | (v95(constB96) <=> (~((~v1(constB96)) | (~v96(constB96))))))),
% 8.10/5.62 inference(rewrite,[status(thm)],[])).
% 8.10/5.62 tff(5389,plain,
% 8.10/5.62 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB95, constB96)) | (v95(constB96) <=> (~((~v96(constB96)) | (~v1(constB96))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB95, constB96)) | (v95(constB96) <=> (~((~v1(constB96)) | (~v96(constB96)))))))),
% 8.10/5.62 inference(monotonicity,[status(thm)],[5388])).
% 8.10/5.62 tff(5390,plain,
% 8.10/5.62 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB95, constB96)) | (v95(constB96) <=> (~((~v96(constB96)) | (~v1(constB96))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB95, constB96)) | (v95(constB96) <=> (~((~v1(constB96)) | (~v96(constB96))))))),
% 8.10/5.62 inference(transitivity,[status(thm)],[5389, 5387])).
% 8.10/5.62 tff(5391,plain,
% 8.10/5.62 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB95, constB96)) | (v95(constB96) <=> (~((~v96(constB96)) | (~v1(constB96))))))),
% 8.10/5.62 inference(quant_inst,[status(thm)],[])).
% 8.10/5.62 tff(5392,plain,
% 8.10/5.62 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB95, constB96)) | (v95(constB96) <=> (~((~v1(constB96)) | (~v96(constB96)))))),
% 8.10/5.62 inference(modus_ponens,[status(thm)],[5391, 5390])).
% 8.10/5.62 tff(5393,plain,
% 8.10/5.62 (v95(constB96) <=> (~((~v1(constB96)) | (~v96(constB96))))),
% 8.10/5.62 inference(unit_resolution,[status(thm)],[5392, 5382, 795])).
% 8.10/5.62 tff(5394,plain,
% 8.10/5.62 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB95, constB96)) | ((~v96(constB96)) <=> v98(constB96)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB95, constB96)) | ((~v96(constB96)) <=> v98(constB96)))),
% 8.10/5.62 inference(rewrite,[status(thm)],[])).
% 8.10/5.62 tff(5395,plain,
% 8.10/5.62 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB95, constB96)) | ((~v96(constB96)) <=> v98(constB96)))),
% 8.10/5.62 inference(quant_inst,[status(thm)],[])).
% 8.10/5.62 tff(5396,plain,
% 8.10/5.62 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB95, constB96)) | ((~v96(constB96)) <=> v98(constB96))),
% 8.10/5.62 inference(modus_ponens,[status(thm)],[5395, 5394])).
% 8.10/5.62 tff(5397,plain,
% 8.10/5.62 ((~v96(constB96)) <=> v98(constB96)),
% 8.10/5.62 inference(unit_resolution,[status(thm)],[5396, 5382, 860])).
% 8.10/5.62 tff(5398,plain,
% 8.10/5.62 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB95, constB96)) | (v98(constB96) <=> v1(constB95)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB95, constB96)) | (v98(constB96) <=> v1(constB95)))),
% 8.10/5.62 inference(rewrite,[status(thm)],[])).
% 8.10/5.62 tff(5399,plain,
% 8.10/5.62 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB95, constB96)) | (v98(constB96) <=> v1(constB95)))),
% 8.10/5.62 inference(quant_inst,[status(thm)],[])).
% 8.10/5.62 tff(5400,plain,
% 8.10/5.62 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB95, constB96)) | (v98(constB96) <=> v1(constB95))),
% 8.10/5.63 inference(modus_ponens,[status(thm)],[5399, 5398])).
% 8.10/5.63 tff(5401,plain,
% 8.10/5.63 (v98(constB96) <=> v1(constB95)),
% 8.10/5.63 inference(unit_resolution,[status(thm)],[5400, 5382, 874])).
% 8.10/5.63 tff(5402,plain,
% 8.10/5.63 ((~v1(constB95)) <=> (~v1(constB95))),
% 8.10/5.63 inference(rewrite,[status(thm)],[])).
% 8.10/5.63 tff(5403,axiom,(~v1(constB95)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_95')).
% 8.10/5.63 tff(5404,plain,
% 8.10/5.63 (~v1(constB95)),
% 8.10/5.63 inference(modus_ponens,[status(thm)],[5403, 5402])).
% 8.10/5.63 tff(5405,plain,
% 8.10/5.63 ((~(v98(constB96) <=> v1(constB95))) | (~v98(constB96)) | v1(constB95)),
% 8.10/5.63 inference(tautology,[status(thm)],[])).
% 8.10/5.63 tff(5406,plain,
% 8.10/5.63 ((~(v98(constB96) <=> v1(constB95))) | (~v98(constB96))),
% 8.10/5.63 inference(unit_resolution,[status(thm)],[5405, 5404])).
% 8.10/5.63 tff(5407,plain,
% 8.10/5.63 (~v98(constB96)),
% 8.10/5.63 inference(unit_resolution,[status(thm)],[5406, 5401])).
% 8.10/5.63 tff(5408,plain,
% 8.10/5.63 ((~((~v96(constB96)) <=> v98(constB96))) | v96(constB96) | v98(constB96)),
% 8.10/5.63 inference(tautology,[status(thm)],[])).
% 8.10/5.63 tff(5409,plain,
% 8.10/5.63 (v96(constB96)),
% 8.10/5.63 inference(unit_resolution,[status(thm)],[5408, 5407, 5397])).
% 8.10/5.63 tff(5410,plain,
% 8.10/5.63 (v1(constB96) <=> v1(constB96)),
% 8.10/5.63 inference(rewrite,[status(thm)],[])).
% 8.10/5.63 tff(5411,axiom,(v1(constB96)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_96')).
% 8.10/5.63 tff(5412,plain,
% 8.10/5.63 (v1(constB96)),
% 8.10/5.63 inference(modus_ponens,[status(thm)],[5411, 5410])).
% 8.10/5.63 tff(5413,plain,
% 8.10/5.63 ((~((~v1(constB96)) | (~v96(constB96)))) | (~v1(constB96)) | (~v96(constB96))),
% 8.10/5.63 inference(tautology,[status(thm)],[])).
% 8.10/5.63 tff(5414,plain,
% 8.10/5.63 ((~((~v1(constB96)) | (~v96(constB96)))) | (~v96(constB96))),
% 8.10/5.63 inference(unit_resolution,[status(thm)],[5413, 5412])).
% 8.10/5.63 tff(5415,plain,
% 8.10/5.63 (~((~v1(constB96)) | (~v96(constB96)))),
% 8.10/5.63 inference(unit_resolution,[status(thm)],[5414, 5409])).
% 8.10/5.63 tff(5416,plain,
% 8.10/5.63 ((~(v95(constB96) <=> (~((~v1(constB96)) | (~v96(constB96)))))) | v95(constB96) | ((~v1(constB96)) | (~v96(constB96)))),
% 8.10/5.63 inference(tautology,[status(thm)],[])).
% 8.10/5.63 tff(5417,plain,
% 8.10/5.63 (v95(constB96)),
% 8.10/5.63 inference(unit_resolution,[status(thm)],[5416, 5415, 5393])).
% 8.10/5.63 tff(5418,plain,
% 8.10/5.63 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB95, constB96)) | (v104(constB96) <=> v102(constB95)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB95, constB96)) | (v104(constB96) <=> v102(constB95)))),
% 8.10/5.63 inference(rewrite,[status(thm)],[])).
% 8.10/5.63 tff(5419,plain,
% 8.10/5.63 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB95, constB96)) | (v104(constB96) <=> v102(constB95)))),
% 8.10/5.63 inference(quant_inst,[status(thm)],[])).
% 8.10/5.63 tff(5420,plain,
% 8.10/5.63 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB95, constB96)) | (v104(constB96) <=> v102(constB95))),
% 8.10/5.63 inference(modus_ponens,[status(thm)],[5419, 5418])).
% 8.10/5.63 tff(5421,plain,
% 8.10/5.63 (v104(constB96) <=> v102(constB95)),
% 8.10/5.63 inference(unit_resolution,[status(thm)],[5420, 5382, 904])).
% 8.10/5.63 tff(5422,plain,
% 8.10/5.63 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB95) <=> (v105(constB95) | v106(constB95)))),
% 8.10/5.63 inference(quant_inst,[status(thm)],[])).
% 8.10/5.63 tff(5423,plain,
% 8.10/5.63 (v102(constB95) <=> (v105(constB95) | v106(constB95))),
% 8.10/5.63 inference(unit_resolution,[status(thm)],[5422, 915])).
% 8.10/5.63 tff(5424,plain,
% 8.10/5.63 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB95) <=> (~((~v107(constB95)) | (~v120(constB95)))))),
% 8.10/5.63 inference(quant_inst,[status(thm)],[])).
% 8.10/5.63 tff(5425,plain,
% 8.10/5.63 (v106(constB95) <=> (~((~v107(constB95)) | (~v120(constB95))))),
% 8.10/5.63 inference(unit_resolution,[status(thm)],[5424, 927])).
% 8.10/5.63 tff(5426,plain,
% 8.10/5.63 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB95) <=> (v108(constB95) | v119(constB95)))),
% 8.10/5.63 inference(quant_inst,[status(thm)],[])).
% 8.10/5.63 tff(5427,plain,
% 8.10/5.63 (v107(constB95) <=> (v108(constB95) | v119(constB95))),
% 8.10/5.63 inference(unit_resolution,[status(thm)],[5426, 936])).
% 8.10/5.63 tff(5428,plain,
% 8.10/5.63 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB95) <=> (v109(constB95) | v118(constB95)))),
% 8.10/5.63 inference(quant_inst,[status(thm)],[])).
% 8.10/5.63 tff(5429,plain,
% 8.10/5.63 (v108(constB95) <=> (v109(constB95) | v118(constB95))),
% 8.10/5.63 inference(unit_resolution,[status(thm)],[5428, 945])).
% 8.10/5.63 tff(5430,plain,
% 8.10/5.63 (((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB95) <=> (~((~v84(constB95, bitIndex2)) | v84(constB95, bitIndex1) | (~v84(constB95, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB95) <=> (~((~v84(constB95, bitIndex2)) | v84(constB95, bitIndex1) | (~v84(constB95, bitIndex0))))))),
% 8.10/5.63 inference(rewrite,[status(thm)],[])).
% 8.10/5.63 tff(5431,plain,
% 8.10/5.63 ((v118(constB95) <=> (~(v84(constB95, bitIndex1) | (~v84(constB95, bitIndex0)) | (~v84(constB95, bitIndex2))))) <=> (v118(constB95) <=> (~((~v84(constB95, bitIndex2)) | v84(constB95, bitIndex1) | (~v84(constB95, bitIndex0)))))),
% 8.10/5.63 inference(rewrite,[status(thm)],[])).
% 8.10/5.63 tff(5432,plain,
% 8.10/5.63 (((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB95) <=> (~(v84(constB95, bitIndex1) | (~v84(constB95, bitIndex0)) | (~v84(constB95, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB95) <=> (~((~v84(constB95, bitIndex2)) | v84(constB95, bitIndex1) | (~v84(constB95, bitIndex0))))))),
% 8.10/5.63 inference(monotonicity,[status(thm)],[5431])).
% 8.10/5.63 tff(5433,plain,
% 8.10/5.63 (((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB95) <=> (~(v84(constB95, bitIndex1) | (~v84(constB95, bitIndex0)) | (~v84(constB95, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB95) <=> (~((~v84(constB95, bitIndex2)) | v84(constB95, bitIndex1) | (~v84(constB95, bitIndex0))))))),
% 8.10/5.63 inference(transitivity,[status(thm)],[5432, 5430])).
% 8.10/5.63 tff(5434,plain,
% 8.10/5.63 ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB95) <=> (~(v84(constB95, bitIndex1) | (~v84(constB95, bitIndex0)) | (~v84(constB95, bitIndex2)))))),
% 8.10/5.63 inference(quant_inst,[status(thm)],[])).
% 8.10/5.63 tff(5435,plain,
% 8.10/5.63 ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB95) <=> (~((~v84(constB95, bitIndex2)) | v84(constB95, bitIndex1) | (~v84(constB95, bitIndex0)))))),
% 8.10/5.63 inference(modus_ponens,[status(thm)],[5434, 5433])).
% 8.10/5.63 tff(5436,plain,
% 8.10/5.63 (v118(constB95) <=> (~((~v84(constB95, bitIndex2)) | v84(constB95, bitIndex1) | (~v84(constB95, bitIndex0))))),
% 8.10/5.63 inference(unit_resolution,[status(thm)],[5435, 960])).
% 8.10/5.63 tff(5437,plain,
% 8.10/5.63 (nextState(constB94, constB95) <=> nextState(constB94, constB95)),
% 8.10/5.63 inference(rewrite,[status(thm)],[])).
% 8.10/5.63 tff(5438,axiom,(nextState(constB94, constB95)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_94')).
% 8.10/5.63 tff(5439,plain,
% 8.10/5.63 (nextState(constB94, constB95)),
% 8.10/5.63 inference(modus_ponens,[status(thm)],[5438, 5437])).
% 8.10/5.63 tff(5440,plain,
% 8.10/5.63 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB94, constB95)) | (v94(constB95) <=> (~((~v104(constB95)) | (~v95(constB95))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB94, constB95)) | (v94(constB95) <=> (~((~v104(constB95)) | (~v95(constB95))))))),
% 8.10/5.63 inference(rewrite,[status(thm)],[])).
% 8.10/5.63 tff(5441,plain,
% 8.10/5.63 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB94, constB95)) | (v94(constB95) <=> (~((~v104(constB95)) | (~v95(constB95))))))),
% 8.10/5.63 inference(quant_inst,[status(thm)],[])).
% 8.10/5.63 tff(5442,plain,
% 8.10/5.63 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB94, constB95)) | (v94(constB95) <=> (~((~v104(constB95)) | (~v95(constB95)))))),
% 8.10/5.63 inference(modus_ponens,[status(thm)],[5441, 5440])).
% 8.10/5.63 tff(5443,plain,
% 8.10/5.63 (v94(constB95) <=> (~((~v104(constB95)) | (~v95(constB95))))),
% 8.10/5.63 inference(unit_resolution,[status(thm)],[5442, 5439, 775])).
% 8.10/5.63 tff(5444,plain,
% 8.10/5.63 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB94, constB95)) | (v95(constB95) <=> (~((~v1(constB95)) | (~v96(constB95))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB94, constB95)) | (v95(constB95) <=> (~((~v1(constB95)) | (~v96(constB95))))))),
% 8.10/5.63 inference(rewrite,[status(thm)],[])).
% 8.10/5.63 tff(5445,plain,
% 8.10/5.63 (((~nextState(constB94, constB95)) | (v95(constB95) <=> (~((~v96(constB95)) | (~v1(constB95)))))) <=> ((~nextState(constB94, constB95)) | (v95(constB95) <=> (~((~v1(constB95)) | (~v96(constB95))))))),
% 8.10/5.63 inference(rewrite,[status(thm)],[])).
% 8.10/5.63 tff(5446,plain,
% 8.10/5.63 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB94, constB95)) | (v95(constB95) <=> (~((~v96(constB95)) | (~v1(constB95))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB94, constB95)) | (v95(constB95) <=> (~((~v1(constB95)) | (~v96(constB95)))))))),
% 8.10/5.63 inference(monotonicity,[status(thm)],[5445])).
% 8.10/5.63 tff(5447,plain,
% 8.10/5.63 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB94, constB95)) | (v95(constB95) <=> (~((~v96(constB95)) | (~v1(constB95))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB94, constB95)) | (v95(constB95) <=> (~((~v1(constB95)) | (~v96(constB95))))))),
% 8.10/5.63 inference(transitivity,[status(thm)],[5446, 5444])).
% 8.10/5.63 tff(5448,plain,
% 8.10/5.63 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB94, constB95)) | (v95(constB95) <=> (~((~v96(constB95)) | (~v1(constB95))))))),
% 8.10/5.63 inference(quant_inst,[status(thm)],[])).
% 8.10/5.63 tff(5449,plain,
% 8.10/5.63 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB94, constB95)) | (v95(constB95) <=> (~((~v1(constB95)) | (~v96(constB95)))))),
% 8.10/5.63 inference(modus_ponens,[status(thm)],[5448, 5447])).
% 8.10/5.63 tff(5450,plain,
% 8.10/5.63 (v95(constB95) <=> (~((~v1(constB95)) | (~v96(constB95))))),
% 8.10/5.63 inference(unit_resolution,[status(thm)],[5449, 5439, 795])).
% 8.10/5.63 tff(5451,plain,
% 8.10/5.63 (((~v1(constB95)) | (~v96(constB95))) | v1(constB95)),
% 8.10/5.63 inference(tautology,[status(thm)],[])).
% 8.10/5.63 tff(5452,plain,
% 8.10/5.63 ((~v1(constB95)) | (~v96(constB95))),
% 8.10/5.63 inference(unit_resolution,[status(thm)],[5451, 5404])).
% 8.10/5.63 tff(5453,plain,
% 8.10/5.63 ((~(v95(constB95) <=> (~((~v1(constB95)) | (~v96(constB95)))))) | (~v95(constB95)) | (~((~v1(constB95)) | (~v96(constB95))))),
% 8.10/5.63 inference(tautology,[status(thm)],[])).
% 8.10/5.63 tff(5454,plain,
% 8.10/5.63 ((~(v95(constB95) <=> (~((~v1(constB95)) | (~v96(constB95)))))) | (~v95(constB95))),
% 8.10/5.63 inference(unit_resolution,[status(thm)],[5453, 5452])).
% 8.10/5.63 tff(5455,plain,
% 8.10/5.63 (~v95(constB95)),
% 8.10/5.63 inference(unit_resolution,[status(thm)],[5454, 5450])).
% 8.10/5.63 tff(5456,plain,
% 8.10/5.63 (((~v104(constB95)) | (~v95(constB95))) | v95(constB95)),
% 8.10/5.63 inference(tautology,[status(thm)],[])).
% 8.10/5.63 tff(5457,plain,
% 8.10/5.63 ((~v104(constB95)) | (~v95(constB95))),
% 8.10/5.63 inference(unit_resolution,[status(thm)],[5456, 5455])).
% 8.10/5.63 tff(5458,plain,
% 8.10/5.63 ((~(v94(constB95) <=> (~((~v104(constB95)) | (~v95(constB95)))))) | (~v94(constB95)) | (~((~v104(constB95)) | (~v95(constB95))))),
% 8.10/5.63 inference(tautology,[status(thm)],[])).
% 8.10/5.63 tff(5459,plain,
% 8.10/5.63 (~v94(constB95)),
% 8.10/5.63 inference(unit_resolution,[status(thm)],[5458, 5457, 5443])).
% 8.10/5.63 tff(5460,plain,
% 8.10/5.63 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB95) | (~nextState(constB94, constB95)) | ![B: $i] : ((~less_3(B)) | (v84(constB95, B) <=> v84(constB94, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB95) | (~nextState(constB94, constB95)) | ![B: $i] : ((~less_3(B)) | (v84(constB95, B) <=> v84(constB94, B))))),
% 8.10/5.63 inference(rewrite,[status(thm)],[])).
% 8.10/5.63 tff(5461,plain,
% 8.10/5.63 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB95) | (~nextState(constB94, constB95)) | ![B: $i] : ((~less_3(B)) | (v84(constB95, B) <=> v84(constB94, B))))),
% 8.10/5.63 inference(quant_inst,[status(thm)],[])).
% 8.10/5.63 tff(5462,plain,
% 8.10/5.63 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB95) | (~nextState(constB94, constB95)) | ![B: $i] : ((~less_3(B)) | (v84(constB95, B) <=> v84(constB94, B)))),
% 8.10/5.63 inference(modus_ponens,[status(thm)],[5461, 5460])).
% 8.10/5.63 tff(5463,plain,
% 8.10/5.63 (v94(constB95) | ![B: $i] : ((~less_3(B)) | (v84(constB95, B) <=> v84(constB94, B)))),
% 8.10/5.63 inference(unit_resolution,[status(thm)],[5462, 5439, 824])).
% 8.10/5.63 tff(5464,plain,
% 8.10/5.63 (![B: $i] : ((~less_3(B)) | (v84(constB95, B) <=> v84(constB94, B)))),
% 8.10/5.63 inference(unit_resolution,[status(thm)],[5463, 5459])).
% 8.10/5.63 tff(5465,plain,
% 8.10/5.63 (((~![B: $i] : ((~less_3(B)) | (v84(constB95, B) <=> v84(constB94, B)))) | ((~less_3(bitIndex2)) | (v84(constB95, bitIndex2) <=> v84(constB94, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB95, B) <=> v84(constB94, B)))) | (~less_3(bitIndex2)) | (v84(constB95, bitIndex2) <=> v84(constB94, bitIndex2)))),
% 8.10/5.63 inference(rewrite,[status(thm)],[])).
% 8.10/5.63 tff(5466,plain,
% 8.10/5.63 ((~![B: $i] : ((~less_3(B)) | (v84(constB95, B) <=> v84(constB94, B)))) | ((~less_3(bitIndex2)) | (v84(constB95, bitIndex2) <=> v84(constB94, bitIndex2)))),
% 8.10/5.63 inference(quant_inst,[status(thm)],[])).
% 8.10/5.63 tff(5467,plain,
% 8.10/5.63 ((~![B: $i] : ((~less_3(B)) | (v84(constB95, B) <=> v84(constB94, B)))) | (~less_3(bitIndex2)) | (v84(constB95, bitIndex2) <=> v84(constB94, bitIndex2))),
% 8.10/5.63 inference(modus_ponens,[status(thm)],[5466, 5465])).
% 8.10/5.63 tff(5468,plain,
% 8.10/5.63 (v84(constB95, bitIndex2) <=> v84(constB94, bitIndex2)),
% 8.10/5.63 inference(unit_resolution,[status(thm)],[5467, 832, 5464])).
% 8.10/5.63 tff(5469,plain,
% 8.10/5.63 (nextState(constB93, constB94) <=> nextState(constB93, constB94)),
% 8.10/5.63 inference(rewrite,[status(thm)],[])).
% 8.10/5.63 tff(5470,axiom,(nextState(constB93, constB94)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_93')).
% 8.10/5.63 tff(5471,plain,
% 8.10/5.63 (nextState(constB93, constB94)),
% 8.10/5.63 inference(modus_ponens,[status(thm)],[5470, 5469])).
% 8.10/5.63 tff(5472,plain,
% 8.10/5.63 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB93, constB94)) | (v94(constB94) <=> (~((~v104(constB94)) | (~v95(constB94))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB93, constB94)) | (v94(constB94) <=> (~((~v104(constB94)) | (~v95(constB94))))))),
% 8.10/5.63 inference(rewrite,[status(thm)],[])).
% 8.10/5.63 tff(5473,plain,
% 8.10/5.63 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB93, constB94)) | (v94(constB94) <=> (~((~v104(constB94)) | (~v95(constB94))))))),
% 8.10/5.63 inference(quant_inst,[status(thm)],[])).
% 8.10/5.63 tff(5474,plain,
% 8.10/5.63 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB93, constB94)) | (v94(constB94) <=> (~((~v104(constB94)) | (~v95(constB94)))))),
% 8.10/5.63 inference(modus_ponens,[status(thm)],[5473, 5472])).
% 8.10/5.63 tff(5475,plain,
% 8.10/5.63 (v94(constB94) <=> (~((~v104(constB94)) | (~v95(constB94))))),
% 8.10/5.63 inference(unit_resolution,[status(thm)],[5474, 5471, 775])).
% 8.10/5.63 tff(5476,plain,
% 8.10/5.63 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB93, constB94)) | (v95(constB94) <=> (~((~v1(constB94)) | (~v96(constB94))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB93, constB94)) | (v95(constB94) <=> (~((~v1(constB94)) | (~v96(constB94))))))),
% 8.10/5.63 inference(rewrite,[status(thm)],[])).
% 8.10/5.63 tff(5477,plain,
% 8.10/5.63 (((~nextState(constB93, constB94)) | (v95(constB94) <=> (~((~v96(constB94)) | (~v1(constB94)))))) <=> ((~nextState(constB93, constB94)) | (v95(constB94) <=> (~((~v1(constB94)) | (~v96(constB94))))))),
% 8.10/5.63 inference(rewrite,[status(thm)],[])).
% 8.10/5.63 tff(5478,plain,
% 8.10/5.63 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB93, constB94)) | (v95(constB94) <=> (~((~v96(constB94)) | (~v1(constB94))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB93, constB94)) | (v95(constB94) <=> (~((~v1(constB94)) | (~v96(constB94)))))))),
% 8.10/5.63 inference(monotonicity,[status(thm)],[5477])).
% 8.10/5.63 tff(5479,plain,
% 8.10/5.63 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB93, constB94)) | (v95(constB94) <=> (~((~v96(constB94)) | (~v1(constB94))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB93, constB94)) | (v95(constB94) <=> (~((~v1(constB94)) | (~v96(constB94))))))),
% 8.10/5.63 inference(transitivity,[status(thm)],[5478, 5476])).
% 8.10/5.63 tff(5480,plain,
% 8.10/5.63 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB93, constB94)) | (v95(constB94) <=> (~((~v96(constB94)) | (~v1(constB94))))))),
% 8.10/5.63 inference(quant_inst,[status(thm)],[])).
% 8.10/5.63 tff(5481,plain,
% 8.10/5.63 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB93, constB94)) | (v95(constB94) <=> (~((~v1(constB94)) | (~v96(constB94)))))),
% 8.10/5.63 inference(modus_ponens,[status(thm)],[5480, 5479])).
% 8.10/5.63 tff(5482,plain,
% 8.10/5.63 (v95(constB94) <=> (~((~v1(constB94)) | (~v96(constB94))))),
% 8.10/5.63 inference(unit_resolution,[status(thm)],[5481, 5471, 795])).
% 8.10/5.63 tff(5483,plain,
% 8.10/5.63 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB93, constB94)) | ((~v96(constB94)) <=> v98(constB94)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB93, constB94)) | ((~v96(constB94)) <=> v98(constB94)))),
% 8.10/5.63 inference(rewrite,[status(thm)],[])).
% 8.10/5.63 tff(5484,plain,
% 8.10/5.63 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB93, constB94)) | ((~v96(constB94)) <=> v98(constB94)))),
% 8.10/5.63 inference(quant_inst,[status(thm)],[])).
% 8.10/5.63 tff(5485,plain,
% 8.10/5.63 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB93, constB94)) | ((~v96(constB94)) <=> v98(constB94))),
% 8.10/5.63 inference(modus_ponens,[status(thm)],[5484, 5483])).
% 8.10/5.63 tff(5486,plain,
% 8.10/5.63 ((~v96(constB94)) <=> v98(constB94)),
% 8.10/5.63 inference(unit_resolution,[status(thm)],[5485, 5471, 860])).
% 8.10/5.63 tff(5487,plain,
% 8.10/5.63 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB93, constB94)) | (v98(constB94) <=> v1(constB93)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB93, constB94)) | (v98(constB94) <=> v1(constB93)))),
% 8.10/5.63 inference(rewrite,[status(thm)],[])).
% 8.10/5.63 tff(5488,plain,
% 8.10/5.63 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB93, constB94)) | (v98(constB94) <=> v1(constB93)))),
% 8.10/5.63 inference(quant_inst,[status(thm)],[])).
% 8.10/5.63 tff(5489,plain,
% 8.10/5.63 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB93, constB94)) | (v98(constB94) <=> v1(constB93))),
% 8.10/5.63 inference(modus_ponens,[status(thm)],[5488, 5487])).
% 8.10/5.63 tff(5490,plain,
% 8.10/5.63 (v98(constB94) <=> v1(constB93)),
% 8.10/5.63 inference(unit_resolution,[status(thm)],[5489, 5471, 874])).
% 8.10/5.63 tff(5491,plain,
% 8.10/5.63 ((~v1(constB93)) <=> (~v1(constB93))),
% 8.10/5.63 inference(rewrite,[status(thm)],[])).
% 8.10/5.63 tff(5492,axiom,(~v1(constB93)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_93')).
% 8.10/5.63 tff(5493,plain,
% 8.10/5.63 (~v1(constB93)),
% 8.10/5.63 inference(modus_ponens,[status(thm)],[5492, 5491])).
% 8.10/5.63 tff(5494,plain,
% 8.10/5.63 ((~(v98(constB94) <=> v1(constB93))) | (~v98(constB94)) | v1(constB93)),
% 8.10/5.63 inference(tautology,[status(thm)],[])).
% 8.10/5.63 tff(5495,plain,
% 8.10/5.63 ((~(v98(constB94) <=> v1(constB93))) | (~v98(constB94))),
% 8.10/5.63 inference(unit_resolution,[status(thm)],[5494, 5493])).
% 8.10/5.63 tff(5496,plain,
% 8.10/5.63 (~v98(constB94)),
% 8.10/5.63 inference(unit_resolution,[status(thm)],[5495, 5490])).
% 8.10/5.63 tff(5497,plain,
% 8.10/5.63 ((~((~v96(constB94)) <=> v98(constB94))) | v96(constB94) | v98(constB94)),
% 8.10/5.63 inference(tautology,[status(thm)],[])).
% 8.10/5.63 tff(5498,plain,
% 8.10/5.63 (v96(constB94)),
% 8.10/5.63 inference(unit_resolution,[status(thm)],[5497, 5496, 5486])).
% 8.10/5.63 tff(5499,plain,
% 8.10/5.63 (v1(constB94) <=> v1(constB94)),
% 8.10/5.63 inference(rewrite,[status(thm)],[])).
% 8.10/5.63 tff(5500,axiom,(v1(constB94)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_94')).
% 8.10/5.63 tff(5501,plain,
% 8.10/5.63 (v1(constB94)),
% 8.10/5.63 inference(modus_ponens,[status(thm)],[5500, 5499])).
% 8.10/5.63 tff(5502,plain,
% 8.10/5.63 ((~((~v1(constB94)) | (~v96(constB94)))) | (~v1(constB94)) | (~v96(constB94))),
% 8.10/5.63 inference(tautology,[status(thm)],[])).
% 8.10/5.63 tff(5503,plain,
% 8.10/5.63 ((~((~v1(constB94)) | (~v96(constB94)))) | (~v96(constB94))),
% 8.10/5.63 inference(unit_resolution,[status(thm)],[5502, 5501])).
% 8.10/5.63 tff(5504,plain,
% 8.10/5.63 (~((~v1(constB94)) | (~v96(constB94)))),
% 8.10/5.63 inference(unit_resolution,[status(thm)],[5503, 5498])).
% 8.10/5.63 tff(5505,plain,
% 8.10/5.63 ((~(v95(constB94) <=> (~((~v1(constB94)) | (~v96(constB94)))))) | v95(constB94) | ((~v1(constB94)) | (~v96(constB94)))),
% 8.10/5.63 inference(tautology,[status(thm)],[])).
% 8.10/5.63 tff(5506,plain,
% 8.10/5.63 (v95(constB94)),
% 8.10/5.63 inference(unit_resolution,[status(thm)],[5505, 5504, 5482])).
% 8.10/5.63 tff(5507,plain,
% 8.10/5.63 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB93, constB94)) | (v104(constB94) <=> v102(constB93)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB93, constB94)) | (v104(constB94) <=> v102(constB93)))),
% 8.10/5.63 inference(rewrite,[status(thm)],[])).
% 8.10/5.63 tff(5508,plain,
% 8.10/5.63 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB93, constB94)) | (v104(constB94) <=> v102(constB93)))),
% 8.10/5.63 inference(quant_inst,[status(thm)],[])).
% 8.10/5.63 tff(5509,plain,
% 8.10/5.63 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB93, constB94)) | (v104(constB94) <=> v102(constB93))),
% 8.10/5.63 inference(modus_ponens,[status(thm)],[5508, 5507])).
% 8.10/5.63 tff(5510,plain,
% 8.10/5.63 (v104(constB94) <=> v102(constB93)),
% 8.10/5.63 inference(unit_resolution,[status(thm)],[5509, 5471, 904])).
% 8.10/5.63 tff(5511,plain,
% 8.10/5.63 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB93) <=> (v105(constB93) | v106(constB93)))),
% 8.10/5.63 inference(quant_inst,[status(thm)],[])).
% 8.10/5.63 tff(5512,plain,
% 8.10/5.63 (v102(constB93) <=> (v105(constB93) | v106(constB93))),
% 8.10/5.63 inference(unit_resolution,[status(thm)],[5511, 915])).
% 8.10/5.63 tff(5513,plain,
% 8.10/5.63 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB93) <=> (~((~v107(constB93)) | (~v120(constB93)))))),
% 8.10/5.63 inference(quant_inst,[status(thm)],[])).
% 8.10/5.63 tff(5514,plain,
% 8.10/5.63 (v106(constB93) <=> (~((~v107(constB93)) | (~v120(constB93))))),
% 8.10/5.63 inference(unit_resolution,[status(thm)],[5513, 927])).
% 8.10/5.63 tff(5515,plain,
% 8.10/5.63 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB93) <=> (v108(constB93) | v119(constB93)))),
% 8.10/5.63 inference(quant_inst,[status(thm)],[])).
% 8.10/5.63 tff(5516,plain,
% 8.10/5.63 (v107(constB93) <=> (v108(constB93) | v119(constB93))),
% 8.10/5.63 inference(unit_resolution,[status(thm)],[5515, 936])).
% 8.10/5.63 tff(5517,plain,
% 8.10/5.63 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB93) <=> (v109(constB93) | v118(constB93)))),
% 8.10/5.63 inference(quant_inst,[status(thm)],[])).
% 8.10/5.63 tff(5518,plain,
% 8.10/5.63 (v108(constB93) <=> (v109(constB93) | v118(constB93))),
% 8.10/5.63 inference(unit_resolution,[status(thm)],[5517, 945])).
% 8.10/5.63 tff(5519,plain,
% 8.10/5.63 ((~![VarCurr: $i] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB93) <=> (v110(constB93) | v117(constB93)))),
% 8.10/5.63 inference(quant_inst,[status(thm)],[])).
% 8.10/5.63 tff(5520,plain,
% 8.10/5.63 (v109(constB93) <=> (v110(constB93) | v117(constB93))),
% 8.10/5.63 inference(unit_resolution,[status(thm)],[5519, 1056])).
% 8.10/5.63 tff(5521,plain,
% 8.10/5.63 (((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB93) <=> (~((~v84(constB93, bitIndex2)) | v84(constB93, bitIndex1) | v84(constB93, bitIndex0))))) <=> ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB93) <=> (~((~v84(constB93, bitIndex2)) | v84(constB93, bitIndex1) | v84(constB93, bitIndex0)))))),
% 8.10/5.63 inference(rewrite,[status(thm)],[])).
% 8.10/5.63 tff(5522,plain,
% 8.10/5.63 ((v117(constB93) <=> (~(v84(constB93, bitIndex0) | v84(constB93, bitIndex1) | (~v84(constB93, bitIndex2))))) <=> (v117(constB93) <=> (~((~v84(constB93, bitIndex2)) | v84(constB93, bitIndex1) | v84(constB93, bitIndex0))))),
% 8.10/5.63 inference(rewrite,[status(thm)],[])).
% 8.10/5.63 tff(5523,plain,
% 8.10/5.63 (((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB93) <=> (~(v84(constB93, bitIndex0) | v84(constB93, bitIndex1) | (~v84(constB93, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB93) <=> (~((~v84(constB93, bitIndex2)) | v84(constB93, bitIndex1) | v84(constB93, bitIndex0)))))),
% 8.10/5.63 inference(monotonicity,[status(thm)],[5522])).
% 8.10/5.63 tff(5524,plain,
% 8.10/5.63 (((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB93) <=> (~(v84(constB93, bitIndex0) | v84(constB93, bitIndex1) | (~v84(constB93, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB93) <=> (~((~v84(constB93, bitIndex2)) | v84(constB93, bitIndex1) | v84(constB93, bitIndex0)))))),
% 8.10/5.63 inference(transitivity,[status(thm)],[5523, 5521])).
% 8.10/5.63 tff(5525,plain,
% 8.10/5.63 ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB93) <=> (~(v84(constB93, bitIndex0) | v84(constB93, bitIndex1) | (~v84(constB93, bitIndex2)))))),
% 8.10/5.63 inference(quant_inst,[status(thm)],[])).
% 8.10/5.63 tff(5526,plain,
% 8.10/5.63 ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB93) <=> (~((~v84(constB93, bitIndex2)) | v84(constB93, bitIndex1) | v84(constB93, bitIndex0))))),
% 8.10/5.63 inference(modus_ponens,[status(thm)],[5525, 5524])).
% 8.10/5.63 tff(5527,plain,
% 8.10/5.63 (v117(constB93) <=> (~((~v84(constB93, bitIndex2)) | v84(constB93, bitIndex1) | v84(constB93, bitIndex0)))),
% 8.10/5.63 inference(unit_resolution,[status(thm)],[5526, 1071])).
% 8.10/5.63 tff(5528,plain,
% 8.10/5.63 (nextState(constB92, constB93) <=> nextState(constB92, constB93)),
% 8.10/5.63 inference(rewrite,[status(thm)],[])).
% 8.10/5.63 tff(5529,axiom,(nextState(constB92, constB93)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_92')).
% 8.10/5.63 tff(5530,plain,
% 8.10/5.63 (nextState(constB92, constB93)),
% 8.10/5.63 inference(modus_ponens,[status(thm)],[5529, 5528])).
% 8.10/5.63 tff(5531,plain,
% 8.10/5.63 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB92, constB93)) | (v94(constB93) <=> (~((~v104(constB93)) | (~v95(constB93))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB92, constB93)) | (v94(constB93) <=> (~((~v104(constB93)) | (~v95(constB93))))))),
% 8.10/5.63 inference(rewrite,[status(thm)],[])).
% 8.10/5.63 tff(5532,plain,
% 8.10/5.63 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB92, constB93)) | (v94(constB93) <=> (~((~v104(constB93)) | (~v95(constB93))))))),
% 8.10/5.63 inference(quant_inst,[status(thm)],[])).
% 8.10/5.63 tff(5533,plain,
% 8.10/5.63 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB92, constB93)) | (v94(constB93) <=> (~((~v104(constB93)) | (~v95(constB93)))))),
% 8.10/5.63 inference(modus_ponens,[status(thm)],[5532, 5531])).
% 8.10/5.63 tff(5534,plain,
% 8.10/5.63 (v94(constB93) <=> (~((~v104(constB93)) | (~v95(constB93))))),
% 8.10/5.63 inference(unit_resolution,[status(thm)],[5533, 5530, 775])).
% 8.10/5.63 tff(5535,plain,
% 8.10/5.63 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB92, constB93)) | (v95(constB93) <=> (~((~v1(constB93)) | (~v96(constB93))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB92, constB93)) | (v95(constB93) <=> (~((~v1(constB93)) | (~v96(constB93))))))),
% 8.10/5.63 inference(rewrite,[status(thm)],[])).
% 8.10/5.63 tff(5536,plain,
% 8.10/5.63 (((~nextState(constB92, constB93)) | (v95(constB93) <=> (~((~v96(constB93)) | (~v1(constB93)))))) <=> ((~nextState(constB92, constB93)) | (v95(constB93) <=> (~((~v1(constB93)) | (~v96(constB93))))))),
% 8.10/5.63 inference(rewrite,[status(thm)],[])).
% 8.10/5.63 tff(5537,plain,
% 8.10/5.63 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB92, constB93)) | (v95(constB93) <=> (~((~v96(constB93)) | (~v1(constB93))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB92, constB93)) | (v95(constB93) <=> (~((~v1(constB93)) | (~v96(constB93)))))))),
% 8.10/5.63 inference(monotonicity,[status(thm)],[5536])).
% 8.10/5.63 tff(5538,plain,
% 8.10/5.63 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB92, constB93)) | (v95(constB93) <=> (~((~v96(constB93)) | (~v1(constB93))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB92, constB93)) | (v95(constB93) <=> (~((~v1(constB93)) | (~v96(constB93))))))),
% 8.10/5.63 inference(transitivity,[status(thm)],[5537, 5535])).
% 8.10/5.63 tff(5539,plain,
% 8.10/5.63 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB92, constB93)) | (v95(constB93) <=> (~((~v96(constB93)) | (~v1(constB93))))))),
% 8.10/5.63 inference(quant_inst,[status(thm)],[])).
% 8.10/5.63 tff(5540,plain,
% 8.10/5.63 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB92, constB93)) | (v95(constB93) <=> (~((~v1(constB93)) | (~v96(constB93)))))),
% 8.10/5.63 inference(modus_ponens,[status(thm)],[5539, 5538])).
% 8.10/5.63 tff(5541,plain,
% 8.10/5.63 (v95(constB93) <=> (~((~v1(constB93)) | (~v96(constB93))))),
% 8.10/5.63 inference(unit_resolution,[status(thm)],[5540, 5530, 795])).
% 8.10/5.63 tff(5542,plain,
% 8.10/5.63 (((~v1(constB93)) | (~v96(constB93))) | v1(constB93)),
% 8.10/5.63 inference(tautology,[status(thm)],[])).
% 8.10/5.63 tff(5543,plain,
% 8.10/5.63 ((~v1(constB93)) | (~v96(constB93))),
% 8.10/5.63 inference(unit_resolution,[status(thm)],[5542, 5493])).
% 8.10/5.63 tff(5544,plain,
% 8.10/5.63 ((~(v95(constB93) <=> (~((~v1(constB93)) | (~v96(constB93)))))) | (~v95(constB93)) | (~((~v1(constB93)) | (~v96(constB93))))),
% 8.10/5.63 inference(tautology,[status(thm)],[])).
% 8.10/5.63 tff(5545,plain,
% 8.10/5.63 ((~(v95(constB93) <=> (~((~v1(constB93)) | (~v96(constB93)))))) | (~v95(constB93))),
% 8.10/5.63 inference(unit_resolution,[status(thm)],[5544, 5543])).
% 8.10/5.63 tff(5546,plain,
% 8.10/5.63 (~v95(constB93)),
% 8.10/5.63 inference(unit_resolution,[status(thm)],[5545, 5541])).
% 8.10/5.63 tff(5547,plain,
% 8.10/5.63 (((~v104(constB93)) | (~v95(constB93))) | v95(constB93)),
% 8.10/5.63 inference(tautology,[status(thm)],[])).
% 8.10/5.63 tff(5548,plain,
% 8.10/5.63 ((~v104(constB93)) | (~v95(constB93))),
% 8.10/5.63 inference(unit_resolution,[status(thm)],[5547, 5546])).
% 8.10/5.63 tff(5549,plain,
% 8.10/5.63 ((~(v94(constB93) <=> (~((~v104(constB93)) | (~v95(constB93)))))) | (~v94(constB93)) | (~((~v104(constB93)) | (~v95(constB93))))),
% 8.10/5.63 inference(tautology,[status(thm)],[])).
% 8.10/5.63 tff(5550,plain,
% 8.10/5.63 (~v94(constB93)),
% 8.10/5.63 inference(unit_resolution,[status(thm)],[5549, 5548, 5534])).
% 8.10/5.63 tff(5551,plain,
% 8.10/5.63 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB93) | (~nextState(constB92, constB93)) | ![B: $i] : ((~less_3(B)) | (v84(constB93, B) <=> v84(constB92, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB93) | (~nextState(constB92, constB93)) | ![B: $i] : ((~less_3(B)) | (v84(constB93, B) <=> v84(constB92, B))))),
% 8.10/5.64 inference(rewrite,[status(thm)],[])).
% 8.10/5.64 tff(5552,plain,
% 8.10/5.64 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB93) | (~nextState(constB92, constB93)) | ![B: $i] : ((~less_3(B)) | (v84(constB93, B) <=> v84(constB92, B))))),
% 8.10/5.64 inference(quant_inst,[status(thm)],[])).
% 8.10/5.64 tff(5553,plain,
% 8.10/5.64 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB93) | (~nextState(constB92, constB93)) | ![B: $i] : ((~less_3(B)) | (v84(constB93, B) <=> v84(constB92, B)))),
% 8.10/5.64 inference(modus_ponens,[status(thm)],[5552, 5551])).
% 8.10/5.64 tff(5554,plain,
% 8.10/5.64 (v94(constB93) | ![B: $i] : ((~less_3(B)) | (v84(constB93, B) <=> v84(constB92, B)))),
% 8.10/5.64 inference(unit_resolution,[status(thm)],[5553, 5530, 824])).
% 8.10/5.64 tff(5555,plain,
% 8.10/5.64 (![B: $i] : ((~less_3(B)) | (v84(constB93, B) <=> v84(constB92, B)))),
% 8.10/5.64 inference(unit_resolution,[status(thm)],[5554, 5550])).
% 8.10/5.64 tff(5556,plain,
% 8.10/5.64 (((~![B: $i] : ((~less_3(B)) | (v84(constB93, B) <=> v84(constB92, B)))) | ((~less_3(bitIndex2)) | (v84(constB93, bitIndex2) <=> v84(constB92, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB93, B) <=> v84(constB92, B)))) | (~less_3(bitIndex2)) | (v84(constB93, bitIndex2) <=> v84(constB92, bitIndex2)))),
% 8.10/5.64 inference(rewrite,[status(thm)],[])).
% 8.10/5.64 tff(5557,plain,
% 8.10/5.64 ((~![B: $i] : ((~less_3(B)) | (v84(constB93, B) <=> v84(constB92, B)))) | ((~less_3(bitIndex2)) | (v84(constB93, bitIndex2) <=> v84(constB92, bitIndex2)))),
% 8.10/5.64 inference(quant_inst,[status(thm)],[])).
% 8.10/5.64 tff(5558,plain,
% 8.10/5.64 ((~![B: $i] : ((~less_3(B)) | (v84(constB93, B) <=> v84(constB92, B)))) | (~less_3(bitIndex2)) | (v84(constB93, bitIndex2) <=> v84(constB92, bitIndex2))),
% 8.10/5.64 inference(modus_ponens,[status(thm)],[5557, 5556])).
% 8.10/5.64 tff(5559,plain,
% 8.10/5.64 (v84(constB93, bitIndex2) <=> v84(constB92, bitIndex2)),
% 8.10/5.64 inference(unit_resolution,[status(thm)],[5558, 832, 5555])).
% 8.10/5.64 tff(5560,plain,
% 8.10/5.64 (nextState(constB91, constB92) <=> nextState(constB91, constB92)),
% 8.10/5.64 inference(rewrite,[status(thm)],[])).
% 8.10/5.64 tff(5561,axiom,(nextState(constB91, constB92)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_91')).
% 8.10/5.64 tff(5562,plain,
% 8.10/5.64 (nextState(constB91, constB92)),
% 8.10/5.64 inference(modus_ponens,[status(thm)],[5561, 5560])).
% 8.10/5.64 tff(5563,plain,
% 8.10/5.64 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB91, constB92)) | (v94(constB92) <=> (~((~v104(constB92)) | (~v95(constB92))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB91, constB92)) | (v94(constB92) <=> (~((~v104(constB92)) | (~v95(constB92))))))),
% 8.10/5.64 inference(rewrite,[status(thm)],[])).
% 8.10/5.64 tff(5564,plain,
% 8.10/5.64 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB91, constB92)) | (v94(constB92) <=> (~((~v104(constB92)) | (~v95(constB92))))))),
% 8.10/5.64 inference(quant_inst,[status(thm)],[])).
% 8.10/5.64 tff(5565,plain,
% 8.10/5.64 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB91, constB92)) | (v94(constB92) <=> (~((~v104(constB92)) | (~v95(constB92)))))),
% 8.10/5.64 inference(modus_ponens,[status(thm)],[5564, 5563])).
% 8.10/5.64 tff(5566,plain,
% 8.10/5.64 (v94(constB92) <=> (~((~v104(constB92)) | (~v95(constB92))))),
% 8.10/5.64 inference(unit_resolution,[status(thm)],[5565, 5562, 775])).
% 8.10/5.64 tff(5567,plain,
% 8.10/5.64 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB91, constB92)) | (v95(constB92) <=> (~((~v1(constB92)) | (~v96(constB92))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB91, constB92)) | (v95(constB92) <=> (~((~v1(constB92)) | (~v96(constB92))))))),
% 8.10/5.64 inference(rewrite,[status(thm)],[])).
% 8.10/5.64 tff(5568,plain,
% 8.10/5.64 (((~nextState(constB91, constB92)) | (v95(constB92) <=> (~((~v96(constB92)) | (~v1(constB92)))))) <=> ((~nextState(constB91, constB92)) | (v95(constB92) <=> (~((~v1(constB92)) | (~v96(constB92))))))),
% 8.10/5.64 inference(rewrite,[status(thm)],[])).
% 8.10/5.64 tff(5569,plain,
% 8.10/5.64 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB91, constB92)) | (v95(constB92) <=> (~((~v96(constB92)) | (~v1(constB92))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB91, constB92)) | (v95(constB92) <=> (~((~v1(constB92)) | (~v96(constB92)))))))),
% 8.10/5.64 inference(monotonicity,[status(thm)],[5568])).
% 8.10/5.64 tff(5570,plain,
% 8.10/5.64 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB91, constB92)) | (v95(constB92) <=> (~((~v96(constB92)) | (~v1(constB92))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB91, constB92)) | (v95(constB92) <=> (~((~v1(constB92)) | (~v96(constB92))))))),
% 8.10/5.64 inference(transitivity,[status(thm)],[5569, 5567])).
% 8.10/5.64 tff(5571,plain,
% 8.10/5.64 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB91, constB92)) | (v95(constB92) <=> (~((~v96(constB92)) | (~v1(constB92))))))),
% 8.10/5.64 inference(quant_inst,[status(thm)],[])).
% 8.10/5.64 tff(5572,plain,
% 8.10/5.64 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB91, constB92)) | (v95(constB92) <=> (~((~v1(constB92)) | (~v96(constB92)))))),
% 8.10/5.64 inference(modus_ponens,[status(thm)],[5571, 5570])).
% 8.10/5.64 tff(5573,plain,
% 8.10/5.64 (v95(constB92) <=> (~((~v1(constB92)) | (~v96(constB92))))),
% 8.10/5.64 inference(unit_resolution,[status(thm)],[5572, 5562, 795])).
% 8.10/5.64 tff(5574,plain,
% 8.10/5.64 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB91, constB92)) | ((~v96(constB92)) <=> v98(constB92)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB91, constB92)) | ((~v96(constB92)) <=> v98(constB92)))),
% 8.10/5.64 inference(rewrite,[status(thm)],[])).
% 8.10/5.64 tff(5575,plain,
% 8.10/5.64 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB91, constB92)) | ((~v96(constB92)) <=> v98(constB92)))),
% 8.10/5.64 inference(quant_inst,[status(thm)],[])).
% 8.10/5.64 tff(5576,plain,
% 8.10/5.64 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB91, constB92)) | ((~v96(constB92)) <=> v98(constB92))),
% 8.10/5.64 inference(modus_ponens,[status(thm)],[5575, 5574])).
% 8.10/5.64 tff(5577,plain,
% 8.10/5.64 ((~v96(constB92)) <=> v98(constB92)),
% 8.10/5.64 inference(unit_resolution,[status(thm)],[5576, 5562, 860])).
% 8.10/5.64 tff(5578,plain,
% 8.10/5.64 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB91, constB92)) | (v98(constB92) <=> v1(constB91)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB91, constB92)) | (v98(constB92) <=> v1(constB91)))),
% 8.10/5.64 inference(rewrite,[status(thm)],[])).
% 8.10/5.64 tff(5579,plain,
% 8.10/5.64 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB91, constB92)) | (v98(constB92) <=> v1(constB91)))),
% 8.10/5.64 inference(quant_inst,[status(thm)],[])).
% 8.10/5.64 tff(5580,plain,
% 8.10/5.64 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB91, constB92)) | (v98(constB92) <=> v1(constB91))),
% 8.10/5.64 inference(modus_ponens,[status(thm)],[5579, 5578])).
% 8.10/5.64 tff(5581,plain,
% 8.10/5.64 (v98(constB92) <=> v1(constB91)),
% 8.10/5.64 inference(unit_resolution,[status(thm)],[5580, 5562, 874])).
% 8.10/5.64 tff(5582,plain,
% 8.10/5.64 ((~v1(constB91)) <=> (~v1(constB91))),
% 8.10/5.64 inference(rewrite,[status(thm)],[])).
% 8.10/5.64 tff(5583,axiom,(~v1(constB91)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_91')).
% 8.10/5.64 tff(5584,plain,
% 8.10/5.64 (~v1(constB91)),
% 8.10/5.64 inference(modus_ponens,[status(thm)],[5583, 5582])).
% 8.10/5.64 tff(5585,plain,
% 8.10/5.64 ((~(v98(constB92) <=> v1(constB91))) | (~v98(constB92)) | v1(constB91)),
% 8.10/5.64 inference(tautology,[status(thm)],[])).
% 8.10/5.64 tff(5586,plain,
% 8.10/5.64 ((~(v98(constB92) <=> v1(constB91))) | (~v98(constB92))),
% 8.10/5.64 inference(unit_resolution,[status(thm)],[5585, 5584])).
% 8.10/5.64 tff(5587,plain,
% 8.10/5.64 (~v98(constB92)),
% 8.10/5.64 inference(unit_resolution,[status(thm)],[5586, 5581])).
% 8.10/5.64 tff(5588,plain,
% 8.10/5.64 ((~((~v96(constB92)) <=> v98(constB92))) | v96(constB92) | v98(constB92)),
% 8.10/5.64 inference(tautology,[status(thm)],[])).
% 8.10/5.64 tff(5589,plain,
% 8.10/5.64 (v96(constB92)),
% 8.10/5.64 inference(unit_resolution,[status(thm)],[5588, 5587, 5577])).
% 8.10/5.64 tff(5590,plain,
% 8.10/5.64 (v1(constB92) <=> v1(constB92)),
% 8.10/5.64 inference(rewrite,[status(thm)],[])).
% 8.10/5.64 tff(5591,axiom,(v1(constB92)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_92')).
% 8.10/5.64 tff(5592,plain,
% 8.10/5.64 (v1(constB92)),
% 8.10/5.64 inference(modus_ponens,[status(thm)],[5591, 5590])).
% 8.10/5.64 tff(5593,plain,
% 8.10/5.64 ((~((~v1(constB92)) | (~v96(constB92)))) | (~v1(constB92)) | (~v96(constB92))),
% 8.10/5.64 inference(tautology,[status(thm)],[])).
% 8.10/5.64 tff(5594,plain,
% 8.10/5.64 ((~((~v1(constB92)) | (~v96(constB92)))) | (~v96(constB92))),
% 8.10/5.64 inference(unit_resolution,[status(thm)],[5593, 5592])).
% 8.10/5.64 tff(5595,plain,
% 8.10/5.64 (~((~v1(constB92)) | (~v96(constB92)))),
% 8.10/5.64 inference(unit_resolution,[status(thm)],[5594, 5589])).
% 8.10/5.64 tff(5596,plain,
% 8.10/5.64 ((~(v95(constB92) <=> (~((~v1(constB92)) | (~v96(constB92)))))) | v95(constB92) | ((~v1(constB92)) | (~v96(constB92)))),
% 8.10/5.64 inference(tautology,[status(thm)],[])).
% 8.10/5.64 tff(5597,plain,
% 8.10/5.64 (v95(constB92)),
% 8.10/5.64 inference(unit_resolution,[status(thm)],[5596, 5595, 5573])).
% 8.10/5.64 tff(5598,plain,
% 8.10/5.64 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB91, constB92)) | (v104(constB92) <=> v102(constB91)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB91, constB92)) | (v104(constB92) <=> v102(constB91)))),
% 8.10/5.64 inference(rewrite,[status(thm)],[])).
% 8.10/5.64 tff(5599,plain,
% 8.10/5.64 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB91, constB92)) | (v104(constB92) <=> v102(constB91)))),
% 8.10/5.64 inference(quant_inst,[status(thm)],[])).
% 8.10/5.64 tff(5600,plain,
% 8.10/5.64 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB91, constB92)) | (v104(constB92) <=> v102(constB91))),
% 8.10/5.64 inference(modus_ponens,[status(thm)],[5599, 5598])).
% 8.10/5.64 tff(5601,plain,
% 8.10/5.64 (v104(constB92) <=> v102(constB91)),
% 8.10/5.64 inference(unit_resolution,[status(thm)],[5600, 5562, 904])).
% 8.10/5.64 tff(5602,plain,
% 8.10/5.64 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB91) <=> (v105(constB91) | v106(constB91)))),
% 8.10/5.64 inference(quant_inst,[status(thm)],[])).
% 8.10/5.64 tff(5603,plain,
% 8.10/5.64 (v102(constB91) <=> (v105(constB91) | v106(constB91))),
% 8.10/5.64 inference(unit_resolution,[status(thm)],[5602, 915])).
% 8.10/5.64 tff(5604,plain,
% 8.10/5.64 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB91) <=> (~((~v107(constB91)) | (~v120(constB91)))))),
% 8.10/5.64 inference(quant_inst,[status(thm)],[])).
% 8.10/5.64 tff(5605,plain,
% 8.10/5.64 (v106(constB91) <=> (~((~v107(constB91)) | (~v120(constB91))))),
% 8.10/5.64 inference(unit_resolution,[status(thm)],[5604, 927])).
% 8.10/5.64 tff(5606,plain,
% 8.10/5.64 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB91) <=> (v108(constB91) | v119(constB91)))),
% 8.10/5.64 inference(quant_inst,[status(thm)],[])).
% 8.10/5.64 tff(5607,plain,
% 8.10/5.64 (v107(constB91) <=> (v108(constB91) | v119(constB91))),
% 8.10/5.64 inference(unit_resolution,[status(thm)],[5606, 936])).
% 8.10/5.64 tff(5608,plain,
% 8.10/5.64 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB91) <=> (v109(constB91) | v118(constB91)))),
% 8.10/5.64 inference(quant_inst,[status(thm)],[])).
% 8.10/5.64 tff(5609,plain,
% 8.10/5.64 (v108(constB91) <=> (v109(constB91) | v118(constB91))),
% 8.10/5.64 inference(unit_resolution,[status(thm)],[5608, 945])).
% 8.10/5.64 tff(5610,plain,
% 8.10/5.64 ((~![VarCurr: $i] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB91) <=> (v110(constB91) | v117(constB91)))),
% 8.10/5.64 inference(quant_inst,[status(thm)],[])).
% 8.10/5.64 tff(5611,plain,
% 8.10/5.64 (v109(constB91) <=> (v110(constB91) | v117(constB91))),
% 8.10/5.64 inference(unit_resolution,[status(thm)],[5610, 1056])).
% 8.10/5.64 tff(5612,plain,
% 8.10/5.64 ((~![VarCurr: $i] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB91) <=> (v111(constB91) | v116(constB91)))),
% 8.10/5.64 inference(quant_inst,[status(thm)],[])).
% 8.10/5.64 tff(5613,plain,
% 8.10/5.64 (v110(constB91) <=> (v111(constB91) | v116(constB91))),
% 8.10/5.64 inference(unit_resolution,[status(thm)],[5612, 1169])).
% 8.10/5.64 tff(5614,plain,
% 8.10/5.64 ((~![VarCurr: $i] : (v116(VarCurr) <=> (~(v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex0)))))) | (v116(constB91) <=> (~(v84(constB91, bitIndex2) | (~v84(constB91, bitIndex1)) | (~v84(constB91, bitIndex0)))))),
% 8.10/5.64 inference(quant_inst,[status(thm)],[])).
% 8.10/5.64 tff(5615,plain,
% 8.10/5.64 (v116(constB91) <=> (~(v84(constB91, bitIndex2) | (~v84(constB91, bitIndex1)) | (~v84(constB91, bitIndex0))))),
% 8.10/5.64 inference(unit_resolution,[status(thm)],[5614, 1184])).
% 8.10/5.64 tff(5616,plain,
% 8.10/5.64 (nextState(constB90, constB91) <=> nextState(constB90, constB91)),
% 8.10/5.64 inference(rewrite,[status(thm)],[])).
% 8.10/5.64 tff(5617,axiom,(nextState(constB90, constB91)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_90')).
% 8.10/5.64 tff(5618,plain,
% 8.10/5.64 (nextState(constB90, constB91)),
% 8.10/5.64 inference(modus_ponens,[status(thm)],[5617, 5616])).
% 8.10/5.64 tff(5619,plain,
% 8.10/5.64 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB90, constB91)) | (v94(constB91) <=> (~((~v104(constB91)) | (~v95(constB91))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB90, constB91)) | (v94(constB91) <=> (~((~v104(constB91)) | (~v95(constB91))))))),
% 8.10/5.64 inference(rewrite,[status(thm)],[])).
% 8.10/5.64 tff(5620,plain,
% 8.10/5.64 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB90, constB91)) | (v94(constB91) <=> (~((~v104(constB91)) | (~v95(constB91))))))),
% 8.10/5.64 inference(quant_inst,[status(thm)],[])).
% 8.10/5.64 tff(5621,plain,
% 8.10/5.64 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB90, constB91)) | (v94(constB91) <=> (~((~v104(constB91)) | (~v95(constB91)))))),
% 8.10/5.64 inference(modus_ponens,[status(thm)],[5620, 5619])).
% 8.10/5.64 tff(5622,plain,
% 8.10/5.64 (v94(constB91) <=> (~((~v104(constB91)) | (~v95(constB91))))),
% 8.10/5.64 inference(unit_resolution,[status(thm)],[5621, 5618, 775])).
% 8.10/5.64 tff(5623,plain,
% 8.10/5.64 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB90, constB91)) | (v95(constB91) <=> (~((~v1(constB91)) | (~v96(constB91))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB90, constB91)) | (v95(constB91) <=> (~((~v1(constB91)) | (~v96(constB91))))))),
% 8.10/5.64 inference(rewrite,[status(thm)],[])).
% 8.10/5.64 tff(5624,plain,
% 8.10/5.64 (((~nextState(constB90, constB91)) | (v95(constB91) <=> (~((~v96(constB91)) | (~v1(constB91)))))) <=> ((~nextState(constB90, constB91)) | (v95(constB91) <=> (~((~v1(constB91)) | (~v96(constB91))))))),
% 8.10/5.64 inference(rewrite,[status(thm)],[])).
% 8.10/5.64 tff(5625,plain,
% 8.10/5.64 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB90, constB91)) | (v95(constB91) <=> (~((~v96(constB91)) | (~v1(constB91))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB90, constB91)) | (v95(constB91) <=> (~((~v1(constB91)) | (~v96(constB91)))))))),
% 8.10/5.64 inference(monotonicity,[status(thm)],[5624])).
% 8.10/5.64 tff(5626,plain,
% 8.10/5.64 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB90, constB91)) | (v95(constB91) <=> (~((~v96(constB91)) | (~v1(constB91))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB90, constB91)) | (v95(constB91) <=> (~((~v1(constB91)) | (~v96(constB91))))))),
% 8.10/5.64 inference(transitivity,[status(thm)],[5625, 5623])).
% 8.10/5.64 tff(5627,plain,
% 8.10/5.64 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB90, constB91)) | (v95(constB91) <=> (~((~v96(constB91)) | (~v1(constB91))))))),
% 8.10/5.64 inference(quant_inst,[status(thm)],[])).
% 8.10/5.64 tff(5628,plain,
% 8.10/5.64 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB90, constB91)) | (v95(constB91) <=> (~((~v1(constB91)) | (~v96(constB91)))))),
% 8.10/5.64 inference(modus_ponens,[status(thm)],[5627, 5626])).
% 8.10/5.64 tff(5629,plain,
% 8.10/5.64 (v95(constB91) <=> (~((~v1(constB91)) | (~v96(constB91))))),
% 8.10/5.64 inference(unit_resolution,[status(thm)],[5628, 5618, 795])).
% 8.10/5.64 tff(5630,plain,
% 8.10/5.64 (((~v1(constB91)) | (~v96(constB91))) | v1(constB91)),
% 8.10/5.64 inference(tautology,[status(thm)],[])).
% 8.10/5.64 tff(5631,plain,
% 8.10/5.64 ((~v1(constB91)) | (~v96(constB91))),
% 8.10/5.64 inference(unit_resolution,[status(thm)],[5630, 5584])).
% 8.10/5.64 tff(5632,plain,
% 8.10/5.64 ((~(v95(constB91) <=> (~((~v1(constB91)) | (~v96(constB91)))))) | (~v95(constB91)) | (~((~v1(constB91)) | (~v96(constB91))))),
% 8.10/5.64 inference(tautology,[status(thm)],[])).
% 8.10/5.64 tff(5633,plain,
% 8.10/5.64 ((~(v95(constB91) <=> (~((~v1(constB91)) | (~v96(constB91)))))) | (~v95(constB91))),
% 8.10/5.64 inference(unit_resolution,[status(thm)],[5632, 5631])).
% 8.10/5.64 tff(5634,plain,
% 8.10/5.64 (~v95(constB91)),
% 8.10/5.64 inference(unit_resolution,[status(thm)],[5633, 5629])).
% 8.10/5.64 tff(5635,plain,
% 8.10/5.64 (((~v104(constB91)) | (~v95(constB91))) | v95(constB91)),
% 8.10/5.64 inference(tautology,[status(thm)],[])).
% 8.10/5.64 tff(5636,plain,
% 8.10/5.64 ((~v104(constB91)) | (~v95(constB91))),
% 8.10/5.64 inference(unit_resolution,[status(thm)],[5635, 5634])).
% 8.10/5.64 tff(5637,plain,
% 8.10/5.64 ((~(v94(constB91) <=> (~((~v104(constB91)) | (~v95(constB91)))))) | (~v94(constB91)) | (~((~v104(constB91)) | (~v95(constB91))))),
% 8.10/5.64 inference(tautology,[status(thm)],[])).
% 8.10/5.64 tff(5638,plain,
% 8.10/5.64 (~v94(constB91)),
% 8.10/5.64 inference(unit_resolution,[status(thm)],[5637, 5636, 5622])).
% 8.10/5.64 tff(5639,plain,
% 8.10/5.64 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB91) | (~nextState(constB90, constB91)) | ![B: $i] : ((~less_3(B)) | (v84(constB91, B) <=> v84(constB90, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB91) | (~nextState(constB90, constB91)) | ![B: $i] : ((~less_3(B)) | (v84(constB91, B) <=> v84(constB90, B))))),
% 8.10/5.64 inference(rewrite,[status(thm)],[])).
% 8.10/5.64 tff(5640,plain,
% 8.10/5.64 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB91) | (~nextState(constB90, constB91)) | ![B: $i] : ((~less_3(B)) | (v84(constB91, B) <=> v84(constB90, B))))),
% 8.10/5.64 inference(quant_inst,[status(thm)],[])).
% 8.10/5.64 tff(5641,plain,
% 8.10/5.64 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB91) | (~nextState(constB90, constB91)) | ![B: $i] : ((~less_3(B)) | (v84(constB91, B) <=> v84(constB90, B)))),
% 8.10/5.64 inference(modus_ponens,[status(thm)],[5640, 5639])).
% 8.10/5.64 tff(5642,plain,
% 8.10/5.64 (v94(constB91) | ![B: $i] : ((~less_3(B)) | (v84(constB91, B) <=> v84(constB90, B)))),
% 8.10/5.64 inference(unit_resolution,[status(thm)],[5641, 5618, 824])).
% 8.10/5.64 tff(5643,plain,
% 8.10/5.64 (![B: $i] : ((~less_3(B)) | (v84(constB91, B) <=> v84(constB90, B)))),
% 8.10/5.64 inference(unit_resolution,[status(thm)],[5642, 5638])).
% 8.10/5.64 tff(5644,plain,
% 8.10/5.64 (((~![B: $i] : ((~less_3(B)) | (v84(constB91, B) <=> v84(constB90, B)))) | ((~less_3(bitIndex2)) | (v84(constB91, bitIndex2) <=> v84(constB90, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB91, B) <=> v84(constB90, B)))) | (~less_3(bitIndex2)) | (v84(constB91, bitIndex2) <=> v84(constB90, bitIndex2)))),
% 8.10/5.64 inference(rewrite,[status(thm)],[])).
% 8.10/5.64 tff(5645,plain,
% 8.10/5.64 ((~![B: $i] : ((~less_3(B)) | (v84(constB91, B) <=> v84(constB90, B)))) | ((~less_3(bitIndex2)) | (v84(constB91, bitIndex2) <=> v84(constB90, bitIndex2)))),
% 8.10/5.64 inference(quant_inst,[status(thm)],[])).
% 8.10/5.64 tff(5646,plain,
% 8.10/5.64 ((~![B: $i] : ((~less_3(B)) | (v84(constB91, B) <=> v84(constB90, B)))) | (~less_3(bitIndex2)) | (v84(constB91, bitIndex2) <=> v84(constB90, bitIndex2))),
% 8.10/5.64 inference(modus_ponens,[status(thm)],[5645, 5644])).
% 8.10/5.64 tff(5647,plain,
% 8.10/5.64 (v84(constB91, bitIndex2) <=> v84(constB90, bitIndex2)),
% 8.10/5.64 inference(unit_resolution,[status(thm)],[5646, 832, 5643])).
% 8.10/5.64 tff(5648,plain,
% 8.10/5.64 (nextState(constB89, constB90) <=> nextState(constB89, constB90)),
% 8.10/5.64 inference(rewrite,[status(thm)],[])).
% 8.10/5.64 tff(5649,axiom,(nextState(constB89, constB90)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_89')).
% 8.10/5.64 tff(5650,plain,
% 8.10/5.64 (nextState(constB89, constB90)),
% 8.10/5.64 inference(modus_ponens,[status(thm)],[5649, 5648])).
% 8.10/5.64 tff(5651,plain,
% 8.10/5.64 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB89, constB90)) | (v94(constB90) <=> (~((~v104(constB90)) | (~v95(constB90))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB89, constB90)) | (v94(constB90) <=> (~((~v104(constB90)) | (~v95(constB90))))))),
% 8.10/5.64 inference(rewrite,[status(thm)],[])).
% 8.10/5.64 tff(5652,plain,
% 8.10/5.64 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB89, constB90)) | (v94(constB90) <=> (~((~v104(constB90)) | (~v95(constB90))))))),
% 8.10/5.64 inference(quant_inst,[status(thm)],[])).
% 8.10/5.64 tff(5653,plain,
% 8.10/5.64 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB89, constB90)) | (v94(constB90) <=> (~((~v104(constB90)) | (~v95(constB90)))))),
% 8.10/5.64 inference(modus_ponens,[status(thm)],[5652, 5651])).
% 8.10/5.64 tff(5654,plain,
% 8.10/5.64 (v94(constB90) <=> (~((~v104(constB90)) | (~v95(constB90))))),
% 8.10/5.64 inference(unit_resolution,[status(thm)],[5653, 5650, 775])).
% 8.10/5.64 tff(5655,plain,
% 8.10/5.64 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB89, constB90)) | (v95(constB90) <=> (~((~v1(constB90)) | (~v96(constB90))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB89, constB90)) | (v95(constB90) <=> (~((~v1(constB90)) | (~v96(constB90))))))),
% 8.10/5.64 inference(rewrite,[status(thm)],[])).
% 8.10/5.64 tff(5656,plain,
% 8.10/5.64 (((~nextState(constB89, constB90)) | (v95(constB90) <=> (~((~v96(constB90)) | (~v1(constB90)))))) <=> ((~nextState(constB89, constB90)) | (v95(constB90) <=> (~((~v1(constB90)) | (~v96(constB90))))))),
% 8.10/5.64 inference(rewrite,[status(thm)],[])).
% 8.10/5.64 tff(5657,plain,
% 8.10/5.64 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB89, constB90)) | (v95(constB90) <=> (~((~v96(constB90)) | (~v1(constB90))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB89, constB90)) | (v95(constB90) <=> (~((~v1(constB90)) | (~v96(constB90)))))))),
% 8.10/5.64 inference(monotonicity,[status(thm)],[5656])).
% 8.10/5.64 tff(5658,plain,
% 8.10/5.64 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB89, constB90)) | (v95(constB90) <=> (~((~v96(constB90)) | (~v1(constB90))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB89, constB90)) | (v95(constB90) <=> (~((~v1(constB90)) | (~v96(constB90))))))),
% 8.10/5.64 inference(transitivity,[status(thm)],[5657, 5655])).
% 8.10/5.64 tff(5659,plain,
% 8.10/5.64 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB89, constB90)) | (v95(constB90) <=> (~((~v96(constB90)) | (~v1(constB90))))))),
% 8.10/5.64 inference(quant_inst,[status(thm)],[])).
% 8.10/5.64 tff(5660,plain,
% 8.10/5.64 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB89, constB90)) | (v95(constB90) <=> (~((~v1(constB90)) | (~v96(constB90)))))),
% 8.10/5.64 inference(modus_ponens,[status(thm)],[5659, 5658])).
% 8.10/5.64 tff(5661,plain,
% 8.10/5.64 (v95(constB90) <=> (~((~v1(constB90)) | (~v96(constB90))))),
% 8.10/5.64 inference(unit_resolution,[status(thm)],[5660, 5650, 795])).
% 8.10/5.64 tff(5662,plain,
% 8.10/5.64 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB89, constB90)) | ((~v96(constB90)) <=> v98(constB90)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB89, constB90)) | ((~v96(constB90)) <=> v98(constB90)))),
% 8.10/5.64 inference(rewrite,[status(thm)],[])).
% 8.10/5.64 tff(5663,plain,
% 8.10/5.64 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB89, constB90)) | ((~v96(constB90)) <=> v98(constB90)))),
% 8.10/5.64 inference(quant_inst,[status(thm)],[])).
% 8.10/5.64 tff(5664,plain,
% 8.10/5.64 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB89, constB90)) | ((~v96(constB90)) <=> v98(constB90))),
% 8.10/5.64 inference(modus_ponens,[status(thm)],[5663, 5662])).
% 8.10/5.64 tff(5665,plain,
% 8.10/5.64 ((~v96(constB90)) <=> v98(constB90)),
% 8.10/5.64 inference(unit_resolution,[status(thm)],[5664, 5650, 860])).
% 8.10/5.64 tff(5666,plain,
% 8.10/5.64 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB89, constB90)) | (v98(constB90) <=> v1(constB89)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB89, constB90)) | (v98(constB90) <=> v1(constB89)))),
% 8.10/5.64 inference(rewrite,[status(thm)],[])).
% 8.10/5.64 tff(5667,plain,
% 8.10/5.64 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB89, constB90)) | (v98(constB90) <=> v1(constB89)))),
% 8.10/5.64 inference(quant_inst,[status(thm)],[])).
% 8.10/5.64 tff(5668,plain,
% 8.10/5.64 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB89, constB90)) | (v98(constB90) <=> v1(constB89))),
% 8.10/5.64 inference(modus_ponens,[status(thm)],[5667, 5666])).
% 8.10/5.64 tff(5669,plain,
% 8.10/5.64 (v98(constB90) <=> v1(constB89)),
% 8.10/5.64 inference(unit_resolution,[status(thm)],[5668, 5650, 874])).
% 8.10/5.64 tff(5670,plain,
% 8.10/5.64 ((~v1(constB89)) <=> (~v1(constB89))),
% 8.10/5.64 inference(rewrite,[status(thm)],[])).
% 8.10/5.64 tff(5671,axiom,(~v1(constB89)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_89')).
% 8.10/5.64 tff(5672,plain,
% 8.10/5.64 (~v1(constB89)),
% 8.10/5.64 inference(modus_ponens,[status(thm)],[5671, 5670])).
% 8.10/5.64 tff(5673,plain,
% 8.10/5.64 ((~(v98(constB90) <=> v1(constB89))) | (~v98(constB90)) | v1(constB89)),
% 8.10/5.64 inference(tautology,[status(thm)],[])).
% 8.10/5.64 tff(5674,plain,
% 8.10/5.64 ((~(v98(constB90) <=> v1(constB89))) | (~v98(constB90))),
% 8.10/5.64 inference(unit_resolution,[status(thm)],[5673, 5672])).
% 8.10/5.64 tff(5675,plain,
% 8.10/5.64 (~v98(constB90)),
% 8.10/5.64 inference(unit_resolution,[status(thm)],[5674, 5669])).
% 8.10/5.64 tff(5676,plain,
% 8.10/5.64 ((~((~v96(constB90)) <=> v98(constB90))) | v96(constB90) | v98(constB90)),
% 8.10/5.64 inference(tautology,[status(thm)],[])).
% 8.10/5.64 tff(5677,plain,
% 8.10/5.64 (v96(constB90)),
% 8.10/5.64 inference(unit_resolution,[status(thm)],[5676, 5675, 5665])).
% 8.10/5.64 tff(5678,plain,
% 8.10/5.64 (v1(constB90) <=> v1(constB90)),
% 8.10/5.64 inference(rewrite,[status(thm)],[])).
% 8.10/5.64 tff(5679,axiom,(v1(constB90)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_90')).
% 8.10/5.64 tff(5680,plain,
% 8.10/5.64 (v1(constB90)),
% 8.10/5.64 inference(modus_ponens,[status(thm)],[5679, 5678])).
% 8.10/5.64 tff(5681,plain,
% 8.10/5.64 ((~((~v1(constB90)) | (~v96(constB90)))) | (~v1(constB90)) | (~v96(constB90))),
% 8.10/5.64 inference(tautology,[status(thm)],[])).
% 8.10/5.64 tff(5682,plain,
% 8.10/5.64 ((~((~v1(constB90)) | (~v96(constB90)))) | (~v96(constB90))),
% 8.10/5.64 inference(unit_resolution,[status(thm)],[5681, 5680])).
% 8.10/5.64 tff(5683,plain,
% 8.10/5.64 (~((~v1(constB90)) | (~v96(constB90)))),
% 8.10/5.64 inference(unit_resolution,[status(thm)],[5682, 5677])).
% 8.10/5.64 tff(5684,plain,
% 8.10/5.64 ((~(v95(constB90) <=> (~((~v1(constB90)) | (~v96(constB90)))))) | v95(constB90) | ((~v1(constB90)) | (~v96(constB90)))),
% 8.10/5.64 inference(tautology,[status(thm)],[])).
% 8.10/5.64 tff(5685,plain,
% 8.10/5.64 (v95(constB90)),
% 8.10/5.64 inference(unit_resolution,[status(thm)],[5684, 5683, 5661])).
% 8.10/5.64 tff(5686,plain,
% 8.10/5.64 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB89, constB90)) | (v104(constB90) <=> v102(constB89)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB89, constB90)) | (v104(constB90) <=> v102(constB89)))),
% 8.10/5.64 inference(rewrite,[status(thm)],[])).
% 8.10/5.64 tff(5687,plain,
% 8.10/5.64 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB89, constB90)) | (v104(constB90) <=> v102(constB89)))),
% 8.10/5.64 inference(quant_inst,[status(thm)],[])).
% 8.10/5.64 tff(5688,plain,
% 8.10/5.64 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB89, constB90)) | (v104(constB90) <=> v102(constB89))),
% 8.10/5.64 inference(modus_ponens,[status(thm)],[5687, 5686])).
% 8.10/5.64 tff(5689,plain,
% 8.10/5.64 (v104(constB90) <=> v102(constB89)),
% 8.10/5.64 inference(unit_resolution,[status(thm)],[5688, 5650, 904])).
% 8.10/5.64 tff(5690,plain,
% 8.10/5.64 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB89) <=> (v105(constB89) | v106(constB89)))),
% 8.10/5.64 inference(quant_inst,[status(thm)],[])).
% 8.10/5.64 tff(5691,plain,
% 8.10/5.64 (v102(constB89) <=> (v105(constB89) | v106(constB89))),
% 8.10/5.64 inference(unit_resolution,[status(thm)],[5690, 915])).
% 8.10/5.64 tff(5692,plain,
% 8.10/5.64 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB89) <=> (~((~v107(constB89)) | (~v120(constB89)))))),
% 8.10/5.64 inference(quant_inst,[status(thm)],[])).
% 8.10/5.64 tff(5693,plain,
% 8.10/5.64 (v106(constB89) <=> (~((~v107(constB89)) | (~v120(constB89))))),
% 8.10/5.64 inference(unit_resolution,[status(thm)],[5692, 927])).
% 8.10/5.64 tff(5694,plain,
% 8.10/5.64 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB89) <=> (v108(constB89) | v119(constB89)))),
% 8.10/5.64 inference(quant_inst,[status(thm)],[])).
% 8.10/5.64 tff(5695,plain,
% 8.10/5.64 (v107(constB89) <=> (v108(constB89) | v119(constB89))),
% 8.10/5.64 inference(unit_resolution,[status(thm)],[5694, 936])).
% 8.10/5.64 tff(5696,plain,
% 8.10/5.64 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB89) <=> (v109(constB89) | v118(constB89)))),
% 8.10/5.64 inference(quant_inst,[status(thm)],[])).
% 8.10/5.64 tff(5697,plain,
% 8.10/5.64 (v108(constB89) <=> (v109(constB89) | v118(constB89))),
% 8.10/5.64 inference(unit_resolution,[status(thm)],[5696, 945])).
% 8.10/5.64 tff(5698,plain,
% 8.10/5.64 ((~![VarCurr: $i] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB89) <=> (v110(constB89) | v117(constB89)))),
% 8.10/5.64 inference(quant_inst,[status(thm)],[])).
% 8.10/5.64 tff(5699,plain,
% 8.10/5.64 (v109(constB89) <=> (v110(constB89) | v117(constB89))),
% 8.10/5.64 inference(unit_resolution,[status(thm)],[5698, 1056])).
% 8.10/5.64 tff(5700,plain,
% 8.10/5.64 ((~![VarCurr: $i] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB89) <=> (v111(constB89) | v116(constB89)))),
% 8.10/5.64 inference(quant_inst,[status(thm)],[])).
% 8.10/5.64 tff(5701,plain,
% 8.10/5.64 (v110(constB89) <=> (v111(constB89) | v116(constB89))),
% 8.10/5.64 inference(unit_resolution,[status(thm)],[5700, 1169])).
% 8.10/5.64 tff(5702,plain,
% 8.10/5.64 ((~![VarCurr: $i] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB89) <=> (v112(constB89) | v115(constB89)))),
% 8.10/5.64 inference(quant_inst,[status(thm)],[])).
% 8.10/5.64 tff(5703,plain,
% 8.10/5.64 (v111(constB89) <=> (v112(constB89) | v115(constB89))),
% 8.10/5.64 inference(unit_resolution,[status(thm)],[5702, 1279])).
% 8.10/5.64 tff(5704,plain,
% 8.10/5.64 (((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB89) <=> (~(v84(constB89, bitIndex2) | (~v84(constB89, bitIndex1)) | v84(constB89, bitIndex0))))) <=> ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB89) <=> (~(v84(constB89, bitIndex2) | (~v84(constB89, bitIndex1)) | v84(constB89, bitIndex0)))))),
% 8.10/5.64 inference(rewrite,[status(thm)],[])).
% 8.10/5.64 tff(5705,plain,
% 8.10/5.64 ((v115(constB89) <=> (~(v84(constB89, bitIndex0) | v84(constB89, bitIndex2) | (~v84(constB89, bitIndex1))))) <=> (v115(constB89) <=> (~(v84(constB89, bitIndex2) | (~v84(constB89, bitIndex1)) | v84(constB89, bitIndex0))))),
% 8.10/5.64 inference(rewrite,[status(thm)],[])).
% 8.10/5.64 tff(5706,plain,
% 8.10/5.64 (((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB89) <=> (~(v84(constB89, bitIndex0) | v84(constB89, bitIndex2) | (~v84(constB89, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB89) <=> (~(v84(constB89, bitIndex2) | (~v84(constB89, bitIndex1)) | v84(constB89, bitIndex0)))))),
% 8.10/5.64 inference(monotonicity,[status(thm)],[5705])).
% 8.10/5.64 tff(5707,plain,
% 8.10/5.64 (((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB89) <=> (~(v84(constB89, bitIndex0) | v84(constB89, bitIndex2) | (~v84(constB89, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB89) <=> (~(v84(constB89, bitIndex2) | (~v84(constB89, bitIndex1)) | v84(constB89, bitIndex0)))))),
% 8.10/5.64 inference(transitivity,[status(thm)],[5706, 5704])).
% 8.10/5.64 tff(5708,plain,
% 8.10/5.64 ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB89) <=> (~(v84(constB89, bitIndex0) | v84(constB89, bitIndex2) | (~v84(constB89, bitIndex1)))))),
% 8.10/5.64 inference(quant_inst,[status(thm)],[])).
% 8.10/5.64 tff(5709,plain,
% 8.10/5.64 ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB89) <=> (~(v84(constB89, bitIndex2) | (~v84(constB89, bitIndex1)) | v84(constB89, bitIndex0))))),
% 8.10/5.64 inference(modus_ponens,[status(thm)],[5708, 5707])).
% 8.10/5.64 tff(5710,plain,
% 8.10/5.64 (v115(constB89) <=> (~(v84(constB89, bitIndex2) | (~v84(constB89, bitIndex1)) | v84(constB89, bitIndex0)))),
% 8.10/5.64 inference(unit_resolution,[status(thm)],[5709, 1294])).
% 8.10/5.64 tff(5711,plain,
% 8.10/5.64 (nextState(constB88, constB89) <=> nextState(constB88, constB89)),
% 8.10/5.64 inference(rewrite,[status(thm)],[])).
% 8.10/5.64 tff(5712,axiom,(nextState(constB88, constB89)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_88')).
% 8.10/5.64 tff(5713,plain,
% 8.10/5.64 (nextState(constB88, constB89)),
% 8.10/5.64 inference(modus_ponens,[status(thm)],[5712, 5711])).
% 8.10/5.64 tff(5714,plain,
% 8.10/5.64 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB88, constB89)) | (v94(constB89) <=> (~((~v104(constB89)) | (~v95(constB89))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB88, constB89)) | (v94(constB89) <=> (~((~v104(constB89)) | (~v95(constB89))))))),
% 8.10/5.64 inference(rewrite,[status(thm)],[])).
% 8.10/5.64 tff(5715,plain,
% 8.10/5.64 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB88, constB89)) | (v94(constB89) <=> (~((~v104(constB89)) | (~v95(constB89))))))),
% 8.10/5.64 inference(quant_inst,[status(thm)],[])).
% 8.10/5.64 tff(5716,plain,
% 8.10/5.64 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB88, constB89)) | (v94(constB89) <=> (~((~v104(constB89)) | (~v95(constB89)))))),
% 8.10/5.64 inference(modus_ponens,[status(thm)],[5715, 5714])).
% 8.10/5.64 tff(5717,plain,
% 8.10/5.64 (v94(constB89) <=> (~((~v104(constB89)) | (~v95(constB89))))),
% 8.10/5.64 inference(unit_resolution,[status(thm)],[5716, 5713, 775])).
% 8.10/5.64 tff(5718,plain,
% 8.10/5.64 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB88, constB89)) | (v95(constB89) <=> (~((~v1(constB89)) | (~v96(constB89))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB88, constB89)) | (v95(constB89) <=> (~((~v1(constB89)) | (~v96(constB89))))))),
% 8.10/5.64 inference(rewrite,[status(thm)],[])).
% 8.10/5.64 tff(5719,plain,
% 8.10/5.64 (((~nextState(constB88, constB89)) | (v95(constB89) <=> (~((~v96(constB89)) | (~v1(constB89)))))) <=> ((~nextState(constB88, constB89)) | (v95(constB89) <=> (~((~v1(constB89)) | (~v96(constB89))))))),
% 8.10/5.64 inference(rewrite,[status(thm)],[])).
% 8.10/5.65 tff(5720,plain,
% 8.10/5.65 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB88, constB89)) | (v95(constB89) <=> (~((~v96(constB89)) | (~v1(constB89))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB88, constB89)) | (v95(constB89) <=> (~((~v1(constB89)) | (~v96(constB89)))))))),
% 8.10/5.65 inference(monotonicity,[status(thm)],[5719])).
% 8.10/5.65 tff(5721,plain,
% 8.10/5.65 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB88, constB89)) | (v95(constB89) <=> (~((~v96(constB89)) | (~v1(constB89))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB88, constB89)) | (v95(constB89) <=> (~((~v1(constB89)) | (~v96(constB89))))))),
% 8.10/5.65 inference(transitivity,[status(thm)],[5720, 5718])).
% 8.10/5.65 tff(5722,plain,
% 8.10/5.65 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB88, constB89)) | (v95(constB89) <=> (~((~v96(constB89)) | (~v1(constB89))))))),
% 8.10/5.65 inference(quant_inst,[status(thm)],[])).
% 8.10/5.65 tff(5723,plain,
% 8.10/5.65 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB88, constB89)) | (v95(constB89) <=> (~((~v1(constB89)) | (~v96(constB89)))))),
% 8.10/5.65 inference(modus_ponens,[status(thm)],[5722, 5721])).
% 8.10/5.65 tff(5724,plain,
% 8.10/5.65 (v95(constB89) <=> (~((~v1(constB89)) | (~v96(constB89))))),
% 8.10/5.65 inference(unit_resolution,[status(thm)],[5723, 5713, 795])).
% 8.10/5.65 tff(5725,plain,
% 8.10/5.65 (((~v1(constB89)) | (~v96(constB89))) | v1(constB89)),
% 8.10/5.65 inference(tautology,[status(thm)],[])).
% 8.10/5.65 tff(5726,plain,
% 8.10/5.65 ((~v1(constB89)) | (~v96(constB89))),
% 8.10/5.65 inference(unit_resolution,[status(thm)],[5725, 5672])).
% 8.10/5.65 tff(5727,plain,
% 8.10/5.65 ((~(v95(constB89) <=> (~((~v1(constB89)) | (~v96(constB89)))))) | (~v95(constB89)) | (~((~v1(constB89)) | (~v96(constB89))))),
% 8.10/5.65 inference(tautology,[status(thm)],[])).
% 8.10/5.65 tff(5728,plain,
% 8.10/5.65 ((~(v95(constB89) <=> (~((~v1(constB89)) | (~v96(constB89)))))) | (~v95(constB89))),
% 8.10/5.65 inference(unit_resolution,[status(thm)],[5727, 5726])).
% 8.10/5.65 tff(5729,plain,
% 8.10/5.65 (~v95(constB89)),
% 8.10/5.65 inference(unit_resolution,[status(thm)],[5728, 5724])).
% 8.10/5.65 tff(5730,plain,
% 8.10/5.65 (((~v104(constB89)) | (~v95(constB89))) | v95(constB89)),
% 8.10/5.65 inference(tautology,[status(thm)],[])).
% 8.10/5.65 tff(5731,plain,
% 8.10/5.65 ((~v104(constB89)) | (~v95(constB89))),
% 8.10/5.65 inference(unit_resolution,[status(thm)],[5730, 5729])).
% 8.10/5.65 tff(5732,plain,
% 8.10/5.65 ((~(v94(constB89) <=> (~((~v104(constB89)) | (~v95(constB89)))))) | (~v94(constB89)) | (~((~v104(constB89)) | (~v95(constB89))))),
% 8.10/5.65 inference(tautology,[status(thm)],[])).
% 8.10/5.65 tff(5733,plain,
% 8.10/5.65 (~v94(constB89)),
% 8.10/5.65 inference(unit_resolution,[status(thm)],[5732, 5731, 5717])).
% 8.10/5.65 tff(5734,plain,
% 8.10/5.65 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB89) | (~nextState(constB88, constB89)) | ![B: $i] : ((~less_3(B)) | (v84(constB89, B) <=> v84(constB88, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB89) | (~nextState(constB88, constB89)) | ![B: $i] : ((~less_3(B)) | (v84(constB89, B) <=> v84(constB88, B))))),
% 8.10/5.65 inference(rewrite,[status(thm)],[])).
% 8.10/5.65 tff(5735,plain,
% 8.10/5.65 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB89) | (~nextState(constB88, constB89)) | ![B: $i] : ((~less_3(B)) | (v84(constB89, B) <=> v84(constB88, B))))),
% 8.10/5.65 inference(quant_inst,[status(thm)],[])).
% 8.10/5.65 tff(5736,plain,
% 8.10/5.65 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB89) | (~nextState(constB88, constB89)) | ![B: $i] : ((~less_3(B)) | (v84(constB89, B) <=> v84(constB88, B)))),
% 8.10/5.65 inference(modus_ponens,[status(thm)],[5735, 5734])).
% 8.10/5.65 tff(5737,plain,
% 8.10/5.65 (v94(constB89) | ![B: $i] : ((~less_3(B)) | (v84(constB89, B) <=> v84(constB88, B)))),
% 8.10/5.65 inference(unit_resolution,[status(thm)],[5736, 5713, 824])).
% 8.10/5.65 tff(5738,plain,
% 8.10/5.65 (![B: $i] : ((~less_3(B)) | (v84(constB89, B) <=> v84(constB88, B)))),
% 8.10/5.65 inference(unit_resolution,[status(thm)],[5737, 5733])).
% 8.10/5.65 tff(5739,plain,
% 8.10/5.65 (((~![B: $i] : ((~less_3(B)) | (v84(constB89, B) <=> v84(constB88, B)))) | ((~less_3(bitIndex2)) | (v84(constB89, bitIndex2) <=> v84(constB88, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB89, B) <=> v84(constB88, B)))) | (~less_3(bitIndex2)) | (v84(constB89, bitIndex2) <=> v84(constB88, bitIndex2)))),
% 8.10/5.65 inference(rewrite,[status(thm)],[])).
% 8.10/5.65 tff(5740,plain,
% 8.10/5.65 ((~![B: $i] : ((~less_3(B)) | (v84(constB89, B) <=> v84(constB88, B)))) | ((~less_3(bitIndex2)) | (v84(constB89, bitIndex2) <=> v84(constB88, bitIndex2)))),
% 8.10/5.65 inference(quant_inst,[status(thm)],[])).
% 8.10/5.65 tff(5741,plain,
% 8.10/5.65 ((~![B: $i] : ((~less_3(B)) | (v84(constB89, B) <=> v84(constB88, B)))) | (~less_3(bitIndex2)) | (v84(constB89, bitIndex2) <=> v84(constB88, bitIndex2))),
% 8.10/5.65 inference(modus_ponens,[status(thm)],[5740, 5739])).
% 8.10/5.65 tff(5742,plain,
% 8.10/5.65 (v84(constB89, bitIndex2) <=> v84(constB88, bitIndex2)),
% 8.10/5.65 inference(unit_resolution,[status(thm)],[5741, 832, 5738])).
% 8.10/5.65 tff(5743,plain,
% 8.10/5.65 (nextState(constB87, constB88) <=> nextState(constB87, constB88)),
% 8.10/5.65 inference(rewrite,[status(thm)],[])).
% 8.10/5.65 tff(5744,axiom,(nextState(constB87, constB88)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_87')).
% 8.10/5.65 tff(5745,plain,
% 8.10/5.65 (nextState(constB87, constB88)),
% 8.10/5.65 inference(modus_ponens,[status(thm)],[5744, 5743])).
% 8.10/5.65 tff(5746,plain,
% 8.10/5.65 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB87, constB88)) | (v94(constB88) <=> (~((~v104(constB88)) | (~v95(constB88))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB87, constB88)) | (v94(constB88) <=> (~((~v104(constB88)) | (~v95(constB88))))))),
% 8.10/5.65 inference(rewrite,[status(thm)],[])).
% 8.10/5.65 tff(5747,plain,
% 8.10/5.65 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB87, constB88)) | (v94(constB88) <=> (~((~v104(constB88)) | (~v95(constB88))))))),
% 8.10/5.65 inference(quant_inst,[status(thm)],[])).
% 8.10/5.65 tff(5748,plain,
% 8.10/5.65 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB87, constB88)) | (v94(constB88) <=> (~((~v104(constB88)) | (~v95(constB88)))))),
% 8.10/5.65 inference(modus_ponens,[status(thm)],[5747, 5746])).
% 8.10/5.65 tff(5749,plain,
% 8.10/5.65 (v94(constB88) <=> (~((~v104(constB88)) | (~v95(constB88))))),
% 8.10/5.65 inference(unit_resolution,[status(thm)],[5748, 5745, 775])).
% 8.10/5.65 tff(5750,plain,
% 8.10/5.65 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB87, constB88)) | (v95(constB88) <=> (~((~v1(constB88)) | (~v96(constB88))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB87, constB88)) | (v95(constB88) <=> (~((~v1(constB88)) | (~v96(constB88))))))),
% 8.10/5.65 inference(rewrite,[status(thm)],[])).
% 8.10/5.65 tff(5751,plain,
% 8.10/5.65 (((~nextState(constB87, constB88)) | (v95(constB88) <=> (~((~v96(constB88)) | (~v1(constB88)))))) <=> ((~nextState(constB87, constB88)) | (v95(constB88) <=> (~((~v1(constB88)) | (~v96(constB88))))))),
% 8.10/5.65 inference(rewrite,[status(thm)],[])).
% 8.10/5.65 tff(5752,plain,
% 8.10/5.65 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB87, constB88)) | (v95(constB88) <=> (~((~v96(constB88)) | (~v1(constB88))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB87, constB88)) | (v95(constB88) <=> (~((~v1(constB88)) | (~v96(constB88)))))))),
% 8.10/5.65 inference(monotonicity,[status(thm)],[5751])).
% 8.10/5.65 tff(5753,plain,
% 8.10/5.65 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB87, constB88)) | (v95(constB88) <=> (~((~v96(constB88)) | (~v1(constB88))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB87, constB88)) | (v95(constB88) <=> (~((~v1(constB88)) | (~v96(constB88))))))),
% 8.10/5.65 inference(transitivity,[status(thm)],[5752, 5750])).
% 8.10/5.65 tff(5754,plain,
% 8.10/5.65 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB87, constB88)) | (v95(constB88) <=> (~((~v96(constB88)) | (~v1(constB88))))))),
% 8.10/5.65 inference(quant_inst,[status(thm)],[])).
% 8.10/5.65 tff(5755,plain,
% 8.10/5.65 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB87, constB88)) | (v95(constB88) <=> (~((~v1(constB88)) | (~v96(constB88)))))),
% 8.10/5.65 inference(modus_ponens,[status(thm)],[5754, 5753])).
% 8.10/5.65 tff(5756,plain,
% 8.10/5.65 (v95(constB88) <=> (~((~v1(constB88)) | (~v96(constB88))))),
% 8.10/5.65 inference(unit_resolution,[status(thm)],[5755, 5745, 795])).
% 8.10/5.65 tff(5757,plain,
% 8.10/5.65 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB87, constB88)) | ((~v96(constB88)) <=> v98(constB88)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB87, constB88)) | ((~v96(constB88)) <=> v98(constB88)))),
% 8.10/5.65 inference(rewrite,[status(thm)],[])).
% 8.10/5.65 tff(5758,plain,
% 8.10/5.65 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB87, constB88)) | ((~v96(constB88)) <=> v98(constB88)))),
% 8.10/5.65 inference(quant_inst,[status(thm)],[])).
% 8.10/5.65 tff(5759,plain,
% 8.10/5.65 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB87, constB88)) | ((~v96(constB88)) <=> v98(constB88))),
% 8.10/5.65 inference(modus_ponens,[status(thm)],[5758, 5757])).
% 8.10/5.65 tff(5760,plain,
% 8.10/5.65 ((~v96(constB88)) <=> v98(constB88)),
% 8.10/5.65 inference(unit_resolution,[status(thm)],[5759, 5745, 860])).
% 8.10/5.65 tff(5761,plain,
% 8.10/5.65 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB87, constB88)) | (v98(constB88) <=> v1(constB87)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB87, constB88)) | (v98(constB88) <=> v1(constB87)))),
% 8.10/5.65 inference(rewrite,[status(thm)],[])).
% 8.10/5.65 tff(5762,plain,
% 8.10/5.65 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB87, constB88)) | (v98(constB88) <=> v1(constB87)))),
% 8.10/5.65 inference(quant_inst,[status(thm)],[])).
% 8.10/5.65 tff(5763,plain,
% 8.10/5.65 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB87, constB88)) | (v98(constB88) <=> v1(constB87))),
% 8.10/5.65 inference(modus_ponens,[status(thm)],[5762, 5761])).
% 8.10/5.65 tff(5764,plain,
% 8.10/5.65 (v98(constB88) <=> v1(constB87)),
% 8.10/5.65 inference(unit_resolution,[status(thm)],[5763, 5745, 874])).
% 8.10/5.65 tff(5765,plain,
% 8.10/5.65 ((~v1(constB87)) <=> (~v1(constB87))),
% 8.10/5.65 inference(rewrite,[status(thm)],[])).
% 8.10/5.65 tff(5766,axiom,(~v1(constB87)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_87')).
% 8.10/5.65 tff(5767,plain,
% 8.10/5.65 (~v1(constB87)),
% 8.10/5.65 inference(modus_ponens,[status(thm)],[5766, 5765])).
% 8.10/5.65 tff(5768,plain,
% 8.10/5.65 ((~(v98(constB88) <=> v1(constB87))) | (~v98(constB88)) | v1(constB87)),
% 8.10/5.65 inference(tautology,[status(thm)],[])).
% 8.10/5.65 tff(5769,plain,
% 8.10/5.65 ((~(v98(constB88) <=> v1(constB87))) | (~v98(constB88))),
% 8.10/5.65 inference(unit_resolution,[status(thm)],[5768, 5767])).
% 8.10/5.65 tff(5770,plain,
% 8.10/5.65 (~v98(constB88)),
% 8.10/5.65 inference(unit_resolution,[status(thm)],[5769, 5764])).
% 8.10/5.65 tff(5771,plain,
% 8.10/5.65 ((~((~v96(constB88)) <=> v98(constB88))) | v96(constB88) | v98(constB88)),
% 8.10/5.65 inference(tautology,[status(thm)],[])).
% 8.10/5.65 tff(5772,plain,
% 8.10/5.65 (v96(constB88)),
% 8.10/5.65 inference(unit_resolution,[status(thm)],[5771, 5770, 5760])).
% 8.10/5.65 tff(5773,plain,
% 8.10/5.65 (v1(constB88) <=> v1(constB88)),
% 8.10/5.65 inference(rewrite,[status(thm)],[])).
% 8.10/5.65 tff(5774,axiom,(v1(constB88)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_88')).
% 8.10/5.65 tff(5775,plain,
% 8.10/5.65 (v1(constB88)),
% 8.10/5.65 inference(modus_ponens,[status(thm)],[5774, 5773])).
% 8.10/5.65 tff(5776,plain,
% 8.10/5.65 ((~((~v1(constB88)) | (~v96(constB88)))) | (~v1(constB88)) | (~v96(constB88))),
% 8.10/5.65 inference(tautology,[status(thm)],[])).
% 8.10/5.65 tff(5777,plain,
% 8.10/5.65 ((~((~v1(constB88)) | (~v96(constB88)))) | (~v96(constB88))),
% 8.10/5.65 inference(unit_resolution,[status(thm)],[5776, 5775])).
% 8.10/5.65 tff(5778,plain,
% 8.10/5.65 (~((~v1(constB88)) | (~v96(constB88)))),
% 8.10/5.65 inference(unit_resolution,[status(thm)],[5777, 5772])).
% 8.10/5.65 tff(5779,plain,
% 8.10/5.65 ((~(v95(constB88) <=> (~((~v1(constB88)) | (~v96(constB88)))))) | v95(constB88) | ((~v1(constB88)) | (~v96(constB88)))),
% 8.10/5.65 inference(tautology,[status(thm)],[])).
% 8.10/5.65 tff(5780,plain,
% 8.10/5.65 (v95(constB88)),
% 8.10/5.65 inference(unit_resolution,[status(thm)],[5779, 5778, 5756])).
% 8.10/5.65 tff(5781,plain,
% 8.10/5.65 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB87, constB88)) | (v104(constB88) <=> v102(constB87)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB87, constB88)) | (v104(constB88) <=> v102(constB87)))),
% 8.10/5.65 inference(rewrite,[status(thm)],[])).
% 8.10/5.65 tff(5782,plain,
% 8.10/5.65 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB87, constB88)) | (v104(constB88) <=> v102(constB87)))),
% 8.10/5.65 inference(quant_inst,[status(thm)],[])).
% 8.10/5.65 tff(5783,plain,
% 8.10/5.65 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB87, constB88)) | (v104(constB88) <=> v102(constB87))),
% 8.10/5.65 inference(modus_ponens,[status(thm)],[5782, 5781])).
% 8.10/5.65 tff(5784,plain,
% 8.10/5.65 (v104(constB88) <=> v102(constB87)),
% 8.10/5.65 inference(unit_resolution,[status(thm)],[5783, 5745, 904])).
% 8.10/5.65 tff(5785,plain,
% 8.10/5.65 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB87) <=> (v105(constB87) | v106(constB87)))),
% 8.10/5.65 inference(quant_inst,[status(thm)],[])).
% 8.10/5.65 tff(5786,plain,
% 8.10/5.65 (v102(constB87) <=> (v105(constB87) | v106(constB87))),
% 8.10/5.65 inference(unit_resolution,[status(thm)],[5785, 915])).
% 8.10/5.65 tff(5787,plain,
% 8.10/5.65 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB87) <=> (~((~v107(constB87)) | (~v120(constB87)))))),
% 8.10/5.65 inference(quant_inst,[status(thm)],[])).
% 8.10/5.65 tff(5788,plain,
% 8.10/5.65 (v106(constB87) <=> (~((~v107(constB87)) | (~v120(constB87))))),
% 8.10/5.65 inference(unit_resolution,[status(thm)],[5787, 927])).
% 8.10/5.65 tff(5789,plain,
% 8.10/5.65 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB87) <=> (v108(constB87) | v119(constB87)))),
% 8.10/5.65 inference(quant_inst,[status(thm)],[])).
% 8.10/5.65 tff(5790,plain,
% 8.10/5.65 (v107(constB87) <=> (v108(constB87) | v119(constB87))),
% 8.10/5.65 inference(unit_resolution,[status(thm)],[5789, 936])).
% 8.10/5.65 tff(5791,plain,
% 8.10/5.65 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB87) <=> (v109(constB87) | v118(constB87)))),
% 8.10/5.65 inference(quant_inst,[status(thm)],[])).
% 8.10/5.65 tff(5792,plain,
% 8.10/5.65 (v108(constB87) <=> (v109(constB87) | v118(constB87))),
% 8.10/5.65 inference(unit_resolution,[status(thm)],[5791, 945])).
% 8.10/5.65 tff(5793,plain,
% 8.10/5.65 ((~![VarCurr: $i] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB87) <=> (v110(constB87) | v117(constB87)))),
% 8.10/5.65 inference(quant_inst,[status(thm)],[])).
% 8.10/5.65 tff(5794,plain,
% 8.10/5.65 (v109(constB87) <=> (v110(constB87) | v117(constB87))),
% 8.10/5.65 inference(unit_resolution,[status(thm)],[5793, 1056])).
% 8.10/5.65 tff(5795,plain,
% 8.10/5.65 ((~![VarCurr: $i] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB87) <=> (v111(constB87) | v116(constB87)))),
% 8.10/5.65 inference(quant_inst,[status(thm)],[])).
% 8.10/5.65 tff(5796,plain,
% 8.10/5.65 (v110(constB87) <=> (v111(constB87) | v116(constB87))),
% 8.10/5.65 inference(unit_resolution,[status(thm)],[5795, 1169])).
% 8.10/5.65 tff(5797,plain,
% 8.10/5.65 ((~![VarCurr: $i] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB87) <=> (v112(constB87) | v115(constB87)))),
% 8.10/5.65 inference(quant_inst,[status(thm)],[])).
% 8.10/5.65 tff(5798,plain,
% 8.10/5.65 (v111(constB87) <=> (v112(constB87) | v115(constB87))),
% 8.10/5.65 inference(unit_resolution,[status(thm)],[5797, 1279])).
% 8.10/5.65 tff(5799,plain,
% 8.10/5.65 ((~![VarCurr: $i] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))) | (v112(constB87) <=> (v113(constB87) | v114(constB87)))),
% 8.10/5.65 inference(quant_inst,[status(thm)],[])).
% 8.10/5.65 tff(5800,plain,
% 8.10/5.65 (v112(constB87) <=> (v113(constB87) | v114(constB87))),
% 8.10/5.65 inference(unit_resolution,[status(thm)],[5799, 1396])).
% 8.10/5.65 tff(5801,plain,
% 8.10/5.65 (((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB87) <=> (~(v84(constB87, bitIndex2) | v84(constB87, bitIndex1) | (~v84(constB87, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB87) <=> (~(v84(constB87, bitIndex2) | v84(constB87, bitIndex1) | (~v84(constB87, bitIndex0))))))),
% 8.10/5.65 inference(rewrite,[status(thm)],[])).
% 8.10/5.65 tff(5802,plain,
% 8.10/5.65 ((v114(constB87) <=> (~(v84(constB87, bitIndex1) | v84(constB87, bitIndex2) | (~v84(constB87, bitIndex0))))) <=> (v114(constB87) <=> (~(v84(constB87, bitIndex2) | v84(constB87, bitIndex1) | (~v84(constB87, bitIndex0)))))),
% 8.10/5.65 inference(rewrite,[status(thm)],[])).
% 8.10/5.65 tff(5803,plain,
% 8.10/5.65 (((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB87) <=> (~(v84(constB87, bitIndex1) | v84(constB87, bitIndex2) | (~v84(constB87, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB87) <=> (~(v84(constB87, bitIndex2) | v84(constB87, bitIndex1) | (~v84(constB87, bitIndex0))))))),
% 8.10/5.65 inference(monotonicity,[status(thm)],[5802])).
% 8.10/5.65 tff(5804,plain,
% 8.10/5.65 (((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB87) <=> (~(v84(constB87, bitIndex1) | v84(constB87, bitIndex2) | (~v84(constB87, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB87) <=> (~(v84(constB87, bitIndex2) | v84(constB87, bitIndex1) | (~v84(constB87, bitIndex0))))))),
% 8.10/5.65 inference(transitivity,[status(thm)],[5803, 5801])).
% 8.10/5.65 tff(5805,plain,
% 8.10/5.65 ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB87) <=> (~(v84(constB87, bitIndex1) | v84(constB87, bitIndex2) | (~v84(constB87, bitIndex0)))))),
% 8.10/5.65 inference(quant_inst,[status(thm)],[])).
% 8.10/5.65 tff(5806,plain,
% 8.10/5.65 ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB87) <=> (~(v84(constB87, bitIndex2) | v84(constB87, bitIndex1) | (~v84(constB87, bitIndex0)))))),
% 8.10/5.65 inference(modus_ponens,[status(thm)],[5805, 5804])).
% 8.10/5.65 tff(5807,plain,
% 8.10/5.65 (v114(constB87) <=> (~(v84(constB87, bitIndex2) | v84(constB87, bitIndex1) | (~v84(constB87, bitIndex0))))),
% 8.10/5.65 inference(unit_resolution,[status(thm)],[5806, 1411])).
% 8.10/5.65 tff(5808,plain,
% 8.10/5.65 (nextState(constB86, constB87) <=> nextState(constB86, constB87)),
% 8.10/5.65 inference(rewrite,[status(thm)],[])).
% 8.10/5.65 tff(5809,axiom,(nextState(constB86, constB87)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_86')).
% 8.10/5.65 tff(5810,plain,
% 8.10/5.65 (nextState(constB86, constB87)),
% 8.10/5.65 inference(modus_ponens,[status(thm)],[5809, 5808])).
% 8.10/5.65 tff(5811,plain,
% 8.10/5.65 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB86, constB87)) | (v94(constB87) <=> (~((~v104(constB87)) | (~v95(constB87))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB86, constB87)) | (v94(constB87) <=> (~((~v104(constB87)) | (~v95(constB87))))))),
% 8.10/5.65 inference(rewrite,[status(thm)],[])).
% 8.10/5.65 tff(5812,plain,
% 8.10/5.65 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB86, constB87)) | (v94(constB87) <=> (~((~v104(constB87)) | (~v95(constB87))))))),
% 8.10/5.65 inference(quant_inst,[status(thm)],[])).
% 8.10/5.65 tff(5813,plain,
% 8.10/5.65 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB86, constB87)) | (v94(constB87) <=> (~((~v104(constB87)) | (~v95(constB87)))))),
% 8.10/5.65 inference(modus_ponens,[status(thm)],[5812, 5811])).
% 8.10/5.65 tff(5814,plain,
% 8.10/5.65 (v94(constB87) <=> (~((~v104(constB87)) | (~v95(constB87))))),
% 8.10/5.65 inference(unit_resolution,[status(thm)],[5813, 5810, 775])).
% 8.10/5.65 tff(5815,plain,
% 8.10/5.65 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB86, constB87)) | (v95(constB87) <=> (~((~v1(constB87)) | (~v96(constB87))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB86, constB87)) | (v95(constB87) <=> (~((~v1(constB87)) | (~v96(constB87))))))),
% 8.10/5.65 inference(rewrite,[status(thm)],[])).
% 8.10/5.65 tff(5816,plain,
% 8.10/5.65 (((~nextState(constB86, constB87)) | (v95(constB87) <=> (~((~v96(constB87)) | (~v1(constB87)))))) <=> ((~nextState(constB86, constB87)) | (v95(constB87) <=> (~((~v1(constB87)) | (~v96(constB87))))))),
% 8.10/5.65 inference(rewrite,[status(thm)],[])).
% 8.10/5.65 tff(5817,plain,
% 8.10/5.65 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB86, constB87)) | (v95(constB87) <=> (~((~v96(constB87)) | (~v1(constB87))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB86, constB87)) | (v95(constB87) <=> (~((~v1(constB87)) | (~v96(constB87)))))))),
% 8.10/5.65 inference(monotonicity,[status(thm)],[5816])).
% 8.10/5.65 tff(5818,plain,
% 8.10/5.65 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB86, constB87)) | (v95(constB87) <=> (~((~v96(constB87)) | (~v1(constB87))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB86, constB87)) | (v95(constB87) <=> (~((~v1(constB87)) | (~v96(constB87))))))),
% 8.10/5.65 inference(transitivity,[status(thm)],[5817, 5815])).
% 8.10/5.65 tff(5819,plain,
% 8.10/5.65 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB86, constB87)) | (v95(constB87) <=> (~((~v96(constB87)) | (~v1(constB87))))))),
% 8.10/5.65 inference(quant_inst,[status(thm)],[])).
% 8.10/5.65 tff(5820,plain,
% 8.10/5.65 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB86, constB87)) | (v95(constB87) <=> (~((~v1(constB87)) | (~v96(constB87)))))),
% 8.10/5.65 inference(modus_ponens,[status(thm)],[5819, 5818])).
% 8.10/5.65 tff(5821,plain,
% 8.10/5.65 (v95(constB87) <=> (~((~v1(constB87)) | (~v96(constB87))))),
% 8.10/5.65 inference(unit_resolution,[status(thm)],[5820, 5810, 795])).
% 8.10/5.65 tff(5822,plain,
% 8.10/5.65 (((~v1(constB87)) | (~v96(constB87))) | v1(constB87)),
% 8.10/5.65 inference(tautology,[status(thm)],[])).
% 8.10/5.65 tff(5823,plain,
% 8.10/5.65 ((~v1(constB87)) | (~v96(constB87))),
% 8.10/5.65 inference(unit_resolution,[status(thm)],[5822, 5767])).
% 8.10/5.65 tff(5824,plain,
% 8.10/5.65 ((~(v95(constB87) <=> (~((~v1(constB87)) | (~v96(constB87)))))) | (~v95(constB87)) | (~((~v1(constB87)) | (~v96(constB87))))),
% 8.10/5.65 inference(tautology,[status(thm)],[])).
% 8.10/5.65 tff(5825,plain,
% 8.10/5.65 ((~(v95(constB87) <=> (~((~v1(constB87)) | (~v96(constB87)))))) | (~v95(constB87))),
% 8.10/5.65 inference(unit_resolution,[status(thm)],[5824, 5823])).
% 8.10/5.65 tff(5826,plain,
% 8.10/5.65 (~v95(constB87)),
% 8.10/5.65 inference(unit_resolution,[status(thm)],[5825, 5821])).
% 8.10/5.65 tff(5827,plain,
% 8.10/5.65 (((~v104(constB87)) | (~v95(constB87))) | v95(constB87)),
% 8.10/5.65 inference(tautology,[status(thm)],[])).
% 8.10/5.65 tff(5828,plain,
% 8.10/5.65 ((~v104(constB87)) | (~v95(constB87))),
% 8.10/5.65 inference(unit_resolution,[status(thm)],[5827, 5826])).
% 8.10/5.65 tff(5829,plain,
% 8.10/5.65 ((~(v94(constB87) <=> (~((~v104(constB87)) | (~v95(constB87)))))) | (~v94(constB87)) | (~((~v104(constB87)) | (~v95(constB87))))),
% 8.10/5.65 inference(tautology,[status(thm)],[])).
% 8.10/5.65 tff(5830,plain,
% 8.10/5.65 (~v94(constB87)),
% 8.10/5.65 inference(unit_resolution,[status(thm)],[5829, 5828, 5814])).
% 8.10/5.65 tff(5831,plain,
% 8.10/5.65 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB87) | (~nextState(constB86, constB87)) | ![B: $i] : ((~less_3(B)) | (v84(constB87, B) <=> v84(constB86, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB87) | (~nextState(constB86, constB87)) | ![B: $i] : ((~less_3(B)) | (v84(constB87, B) <=> v84(constB86, B))))),
% 8.10/5.65 inference(rewrite,[status(thm)],[])).
% 8.10/5.65 tff(5832,plain,
% 8.10/5.65 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB87) | (~nextState(constB86, constB87)) | ![B: $i] : ((~less_3(B)) | (v84(constB87, B) <=> v84(constB86, B))))),
% 8.10/5.65 inference(quant_inst,[status(thm)],[])).
% 8.10/5.65 tff(5833,plain,
% 8.10/5.65 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB87) | (~nextState(constB86, constB87)) | ![B: $i] : ((~less_3(B)) | (v84(constB87, B) <=> v84(constB86, B)))),
% 8.10/5.65 inference(modus_ponens,[status(thm)],[5832, 5831])).
% 8.10/5.65 tff(5834,plain,
% 8.10/5.65 (v94(constB87) | ![B: $i] : ((~less_3(B)) | (v84(constB87, B) <=> v84(constB86, B)))),
% 8.10/5.65 inference(unit_resolution,[status(thm)],[5833, 5810, 824])).
% 8.10/5.65 tff(5835,plain,
% 8.10/5.65 (![B: $i] : ((~less_3(B)) | (v84(constB87, B) <=> v84(constB86, B)))),
% 8.10/5.65 inference(unit_resolution,[status(thm)],[5834, 5830])).
% 8.10/5.65 tff(5836,plain,
% 8.10/5.65 (((~![B: $i] : ((~less_3(B)) | (v84(constB87, B) <=> v84(constB86, B)))) | ((~less_3(bitIndex2)) | (v84(constB87, bitIndex2) <=> v84(constB86, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB87, B) <=> v84(constB86, B)))) | (~less_3(bitIndex2)) | (v84(constB87, bitIndex2) <=> v84(constB86, bitIndex2)))),
% 8.10/5.65 inference(rewrite,[status(thm)],[])).
% 8.10/5.65 tff(5837,plain,
% 8.10/5.65 ((~![B: $i] : ((~less_3(B)) | (v84(constB87, B) <=> v84(constB86, B)))) | ((~less_3(bitIndex2)) | (v84(constB87, bitIndex2) <=> v84(constB86, bitIndex2)))),
% 8.10/5.65 inference(quant_inst,[status(thm)],[])).
% 8.10/5.65 tff(5838,plain,
% 8.10/5.65 ((~![B: $i] : ((~less_3(B)) | (v84(constB87, B) <=> v84(constB86, B)))) | (~less_3(bitIndex2)) | (v84(constB87, bitIndex2) <=> v84(constB86, bitIndex2))),
% 8.10/5.65 inference(modus_ponens,[status(thm)],[5837, 5836])).
% 8.10/5.65 tff(5839,plain,
% 8.10/5.65 (v84(constB87, bitIndex2) <=> v84(constB86, bitIndex2)),
% 8.10/5.65 inference(unit_resolution,[status(thm)],[5838, 832, 5835])).
% 8.10/5.65 tff(5840,plain,
% 8.10/5.65 (nextState(constB85, constB86) <=> nextState(constB85, constB86)),
% 8.10/5.65 inference(rewrite,[status(thm)],[])).
% 8.10/5.65 tff(5841,axiom,(nextState(constB85, constB86)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_85')).
% 8.10/5.65 tff(5842,plain,
% 8.10/5.65 (nextState(constB85, constB86)),
% 8.10/5.65 inference(modus_ponens,[status(thm)],[5841, 5840])).
% 8.10/5.65 tff(5843,plain,
% 8.10/5.65 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB85, constB86)) | (v94(constB86) <=> (~((~v104(constB86)) | (~v95(constB86))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB85, constB86)) | (v94(constB86) <=> (~((~v104(constB86)) | (~v95(constB86))))))),
% 8.10/5.65 inference(rewrite,[status(thm)],[])).
% 8.10/5.65 tff(5844,plain,
% 8.10/5.65 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB85, constB86)) | (v94(constB86) <=> (~((~v104(constB86)) | (~v95(constB86))))))),
% 8.10/5.65 inference(quant_inst,[status(thm)],[])).
% 8.10/5.65 tff(5845,plain,
% 8.10/5.65 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB85, constB86)) | (v94(constB86) <=> (~((~v104(constB86)) | (~v95(constB86)))))),
% 8.10/5.65 inference(modus_ponens,[status(thm)],[5844, 5843])).
% 8.10/5.65 tff(5846,plain,
% 8.10/5.65 (v94(constB86) <=> (~((~v104(constB86)) | (~v95(constB86))))),
% 8.10/5.65 inference(unit_resolution,[status(thm)],[5845, 5842, 775])).
% 8.10/5.65 tff(5847,plain,
% 8.10/5.65 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB85, constB86)) | (v95(constB86) <=> (~((~v1(constB86)) | (~v96(constB86))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB85, constB86)) | (v95(constB86) <=> (~((~v1(constB86)) | (~v96(constB86))))))),
% 8.10/5.65 inference(rewrite,[status(thm)],[])).
% 8.10/5.65 tff(5848,plain,
% 8.10/5.65 (((~nextState(constB85, constB86)) | (v95(constB86) <=> (~((~v96(constB86)) | (~v1(constB86)))))) <=> ((~nextState(constB85, constB86)) | (v95(constB86) <=> (~((~v1(constB86)) | (~v96(constB86))))))),
% 8.10/5.65 inference(rewrite,[status(thm)],[])).
% 8.10/5.65 tff(5849,plain,
% 8.10/5.65 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB85, constB86)) | (v95(constB86) <=> (~((~v96(constB86)) | (~v1(constB86))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB85, constB86)) | (v95(constB86) <=> (~((~v1(constB86)) | (~v96(constB86)))))))),
% 8.10/5.65 inference(monotonicity,[status(thm)],[5848])).
% 8.10/5.65 tff(5850,plain,
% 8.10/5.65 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB85, constB86)) | (v95(constB86) <=> (~((~v96(constB86)) | (~v1(constB86))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB85, constB86)) | (v95(constB86) <=> (~((~v1(constB86)) | (~v96(constB86))))))),
% 8.10/5.65 inference(transitivity,[status(thm)],[5849, 5847])).
% 8.10/5.65 tff(5851,plain,
% 8.10/5.65 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB85, constB86)) | (v95(constB86) <=> (~((~v96(constB86)) | (~v1(constB86))))))),
% 8.10/5.65 inference(quant_inst,[status(thm)],[])).
% 8.10/5.65 tff(5852,plain,
% 8.10/5.65 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB85, constB86)) | (v95(constB86) <=> (~((~v1(constB86)) | (~v96(constB86)))))),
% 8.10/5.65 inference(modus_ponens,[status(thm)],[5851, 5850])).
% 8.10/5.65 tff(5853,plain,
% 8.10/5.65 (v95(constB86) <=> (~((~v1(constB86)) | (~v96(constB86))))),
% 8.10/5.65 inference(unit_resolution,[status(thm)],[5852, 5842, 795])).
% 8.10/5.65 tff(5854,plain,
% 8.10/5.65 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB85, constB86)) | ((~v96(constB86)) <=> v98(constB86)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB85, constB86)) | ((~v96(constB86)) <=> v98(constB86)))),
% 8.10/5.65 inference(rewrite,[status(thm)],[])).
% 8.10/5.65 tff(5855,plain,
% 8.10/5.65 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB85, constB86)) | ((~v96(constB86)) <=> v98(constB86)))),
% 8.10/5.65 inference(quant_inst,[status(thm)],[])).
% 8.10/5.65 tff(5856,plain,
% 8.10/5.65 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB85, constB86)) | ((~v96(constB86)) <=> v98(constB86))),
% 8.10/5.65 inference(modus_ponens,[status(thm)],[5855, 5854])).
% 8.10/5.65 tff(5857,plain,
% 8.10/5.65 ((~v96(constB86)) <=> v98(constB86)),
% 8.10/5.65 inference(unit_resolution,[status(thm)],[5856, 5842, 860])).
% 8.10/5.65 tff(5858,plain,
% 8.10/5.65 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB85, constB86)) | (v98(constB86) <=> v1(constB85)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB85, constB86)) | (v98(constB86) <=> v1(constB85)))),
% 8.10/5.65 inference(rewrite,[status(thm)],[])).
% 8.10/5.65 tff(5859,plain,
% 8.10/5.65 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB85, constB86)) | (v98(constB86) <=> v1(constB85)))),
% 8.10/5.65 inference(quant_inst,[status(thm)],[])).
% 8.10/5.65 tff(5860,plain,
% 8.10/5.65 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB85, constB86)) | (v98(constB86) <=> v1(constB85))),
% 8.10/5.65 inference(modus_ponens,[status(thm)],[5859, 5858])).
% 8.10/5.65 tff(5861,plain,
% 8.10/5.65 (v98(constB86) <=> v1(constB85)),
% 8.10/5.65 inference(unit_resolution,[status(thm)],[5860, 5842, 874])).
% 8.10/5.65 tff(5862,plain,
% 8.10/5.65 ((~v1(constB85)) <=> (~v1(constB85))),
% 8.10/5.65 inference(rewrite,[status(thm)],[])).
% 8.10/5.65 tff(5863,axiom,(~v1(constB85)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_85')).
% 8.10/5.65 tff(5864,plain,
% 8.10/5.65 (~v1(constB85)),
% 8.10/5.65 inference(modus_ponens,[status(thm)],[5863, 5862])).
% 8.10/5.65 tff(5865,plain,
% 8.10/5.65 ((~(v98(constB86) <=> v1(constB85))) | (~v98(constB86)) | v1(constB85)),
% 8.10/5.65 inference(tautology,[status(thm)],[])).
% 8.10/5.65 tff(5866,plain,
% 8.10/5.65 ((~(v98(constB86) <=> v1(constB85))) | (~v98(constB86))),
% 8.10/5.65 inference(unit_resolution,[status(thm)],[5865, 5864])).
% 8.10/5.65 tff(5867,plain,
% 8.10/5.65 (~v98(constB86)),
% 8.10/5.65 inference(unit_resolution,[status(thm)],[5866, 5861])).
% 8.10/5.65 tff(5868,plain,
% 8.10/5.65 ((~((~v96(constB86)) <=> v98(constB86))) | v96(constB86) | v98(constB86)),
% 8.10/5.65 inference(tautology,[status(thm)],[])).
% 8.10/5.65 tff(5869,plain,
% 8.10/5.65 (v96(constB86)),
% 8.10/5.65 inference(unit_resolution,[status(thm)],[5868, 5867, 5857])).
% 8.10/5.65 tff(5870,plain,
% 8.10/5.65 (v1(constB86) <=> v1(constB86)),
% 8.10/5.65 inference(rewrite,[status(thm)],[])).
% 8.10/5.65 tff(5871,axiom,(v1(constB86)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_86')).
% 8.10/5.65 tff(5872,plain,
% 8.10/5.65 (v1(constB86)),
% 8.10/5.65 inference(modus_ponens,[status(thm)],[5871, 5870])).
% 8.10/5.65 tff(5873,plain,
% 8.10/5.65 ((~((~v1(constB86)) | (~v96(constB86)))) | (~v1(constB86)) | (~v96(constB86))),
% 8.10/5.65 inference(tautology,[status(thm)],[])).
% 8.10/5.65 tff(5874,plain,
% 8.10/5.65 ((~((~v1(constB86)) | (~v96(constB86)))) | (~v96(constB86))),
% 8.10/5.65 inference(unit_resolution,[status(thm)],[5873, 5872])).
% 8.10/5.65 tff(5875,plain,
% 8.10/5.65 (~((~v1(constB86)) | (~v96(constB86)))),
% 8.10/5.65 inference(unit_resolution,[status(thm)],[5874, 5869])).
% 8.10/5.65 tff(5876,plain,
% 8.10/5.65 ((~(v95(constB86) <=> (~((~v1(constB86)) | (~v96(constB86)))))) | v95(constB86) | ((~v1(constB86)) | (~v96(constB86)))),
% 8.10/5.65 inference(tautology,[status(thm)],[])).
% 8.10/5.65 tff(5877,plain,
% 8.10/5.65 (v95(constB86)),
% 8.10/5.65 inference(unit_resolution,[status(thm)],[5876, 5875, 5853])).
% 8.10/5.65 tff(5878,plain,
% 8.10/5.65 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB85, constB86)) | (v104(constB86) <=> v102(constB85)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB85, constB86)) | (v104(constB86) <=> v102(constB85)))),
% 8.10/5.66 inference(rewrite,[status(thm)],[])).
% 8.10/5.66 tff(5879,plain,
% 8.10/5.66 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB85, constB86)) | (v104(constB86) <=> v102(constB85)))),
% 8.10/5.66 inference(quant_inst,[status(thm)],[])).
% 8.10/5.66 tff(5880,plain,
% 8.10/5.66 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB85, constB86)) | (v104(constB86) <=> v102(constB85))),
% 8.10/5.66 inference(modus_ponens,[status(thm)],[5879, 5878])).
% 8.10/5.66 tff(5881,plain,
% 8.10/5.66 (v104(constB86) <=> v102(constB85)),
% 8.10/5.66 inference(unit_resolution,[status(thm)],[5880, 5842, 904])).
% 8.10/5.66 tff(5882,plain,
% 8.10/5.66 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB85) <=> (v105(constB85) | v106(constB85)))),
% 8.10/5.66 inference(quant_inst,[status(thm)],[])).
% 8.10/5.66 tff(5883,plain,
% 8.10/5.66 (v102(constB85) <=> (v105(constB85) | v106(constB85))),
% 8.10/5.66 inference(unit_resolution,[status(thm)],[5882, 915])).
% 8.10/5.66 tff(5884,plain,
% 8.10/5.66 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB85) <=> (~((~v107(constB85)) | (~v120(constB85)))))),
% 8.10/5.66 inference(quant_inst,[status(thm)],[])).
% 8.10/5.66 tff(5885,plain,
% 8.10/5.66 (v106(constB85) <=> (~((~v107(constB85)) | (~v120(constB85))))),
% 8.10/5.66 inference(unit_resolution,[status(thm)],[5884, 927])).
% 8.10/5.66 tff(5886,plain,
% 8.10/5.66 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB85) <=> (v108(constB85) | v119(constB85)))),
% 8.10/5.66 inference(quant_inst,[status(thm)],[])).
% 8.10/5.66 tff(5887,plain,
% 8.10/5.66 (v107(constB85) <=> (v108(constB85) | v119(constB85))),
% 8.10/5.66 inference(unit_resolution,[status(thm)],[5886, 936])).
% 8.10/5.66 tff(5888,plain,
% 8.10/5.66 (((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB85) <=> (~((~v84(constB85, bitIndex2)) | (~v84(constB85, bitIndex1)) | v84(constB85, bitIndex0))))) <=> ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB85) <=> (~((~v84(constB85, bitIndex2)) | (~v84(constB85, bitIndex1)) | v84(constB85, bitIndex0)))))),
% 8.10/5.66 inference(rewrite,[status(thm)],[])).
% 8.10/5.66 tff(5889,plain,
% 8.10/5.66 ((v119(constB85) <=> (~(v84(constB85, bitIndex0) | (~v84(constB85, bitIndex1)) | (~v84(constB85, bitIndex2))))) <=> (v119(constB85) <=> (~((~v84(constB85, bitIndex2)) | (~v84(constB85, bitIndex1)) | v84(constB85, bitIndex0))))),
% 8.10/5.66 inference(rewrite,[status(thm)],[])).
% 8.10/5.66 tff(5890,plain,
% 8.10/5.66 (((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB85) <=> (~(v84(constB85, bitIndex0) | (~v84(constB85, bitIndex1)) | (~v84(constB85, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB85) <=> (~((~v84(constB85, bitIndex2)) | (~v84(constB85, bitIndex1)) | v84(constB85, bitIndex0)))))),
% 8.10/5.66 inference(monotonicity,[status(thm)],[5889])).
% 8.10/5.66 tff(5891,plain,
% 8.10/5.66 (((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB85) <=> (~(v84(constB85, bitIndex0) | (~v84(constB85, bitIndex1)) | (~v84(constB85, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB85) <=> (~((~v84(constB85, bitIndex2)) | (~v84(constB85, bitIndex1)) | v84(constB85, bitIndex0)))))),
% 8.10/5.66 inference(transitivity,[status(thm)],[5890, 5888])).
% 8.10/5.66 tff(5892,plain,
% 8.10/5.66 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB85) <=> (~(v84(constB85, bitIndex0) | (~v84(constB85, bitIndex1)) | (~v84(constB85, bitIndex2)))))),
% 8.10/5.66 inference(quant_inst,[status(thm)],[])).
% 8.10/5.66 tff(5893,plain,
% 8.10/5.66 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB85) <=> (~((~v84(constB85, bitIndex2)) | (~v84(constB85, bitIndex1)) | v84(constB85, bitIndex0))))),
% 8.10/5.66 inference(modus_ponens,[status(thm)],[5892, 5891])).
% 8.10/5.66 tff(5894,plain,
% 8.10/5.66 (v119(constB85) <=> (~((~v84(constB85, bitIndex2)) | (~v84(constB85, bitIndex1)) | v84(constB85, bitIndex0)))),
% 8.10/5.66 inference(unit_resolution,[status(thm)],[5893, 1511])).
% 8.10/5.66 tff(5895,plain,
% 8.10/5.66 (nextState(constB84, constB85) <=> nextState(constB84, constB85)),
% 8.10/5.66 inference(rewrite,[status(thm)],[])).
% 8.10/5.66 tff(5896,axiom,(nextState(constB84, constB85)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_84')).
% 8.10/5.66 tff(5897,plain,
% 8.10/5.66 (nextState(constB84, constB85)),
% 8.10/5.66 inference(modus_ponens,[status(thm)],[5896, 5895])).
% 8.10/5.66 tff(5898,plain,
% 8.10/5.66 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB84, constB85)) | (v94(constB85) <=> (~((~v104(constB85)) | (~v95(constB85))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB84, constB85)) | (v94(constB85) <=> (~((~v104(constB85)) | (~v95(constB85))))))),
% 8.10/5.66 inference(rewrite,[status(thm)],[])).
% 8.10/5.66 tff(5899,plain,
% 8.10/5.66 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB84, constB85)) | (v94(constB85) <=> (~((~v104(constB85)) | (~v95(constB85))))))),
% 8.10/5.66 inference(quant_inst,[status(thm)],[])).
% 8.10/5.66 tff(5900,plain,
% 8.10/5.66 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB84, constB85)) | (v94(constB85) <=> (~((~v104(constB85)) | (~v95(constB85)))))),
% 8.10/5.66 inference(modus_ponens,[status(thm)],[5899, 5898])).
% 8.10/5.66 tff(5901,plain,
% 8.10/5.66 (v94(constB85) <=> (~((~v104(constB85)) | (~v95(constB85))))),
% 8.10/5.66 inference(unit_resolution,[status(thm)],[5900, 5897, 775])).
% 8.10/5.66 tff(5902,plain,
% 8.10/5.66 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB84, constB85)) | (v95(constB85) <=> (~((~v1(constB85)) | (~v96(constB85))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB84, constB85)) | (v95(constB85) <=> (~((~v1(constB85)) | (~v96(constB85))))))),
% 8.10/5.66 inference(rewrite,[status(thm)],[])).
% 8.10/5.66 tff(5903,plain,
% 8.10/5.66 (((~nextState(constB84, constB85)) | (v95(constB85) <=> (~((~v96(constB85)) | (~v1(constB85)))))) <=> ((~nextState(constB84, constB85)) | (v95(constB85) <=> (~((~v1(constB85)) | (~v96(constB85))))))),
% 8.10/5.66 inference(rewrite,[status(thm)],[])).
% 8.10/5.66 tff(5904,plain,
% 8.10/5.66 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB84, constB85)) | (v95(constB85) <=> (~((~v96(constB85)) | (~v1(constB85))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB84, constB85)) | (v95(constB85) <=> (~((~v1(constB85)) | (~v96(constB85)))))))),
% 8.10/5.66 inference(monotonicity,[status(thm)],[5903])).
% 8.10/5.66 tff(5905,plain,
% 8.10/5.66 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB84, constB85)) | (v95(constB85) <=> (~((~v96(constB85)) | (~v1(constB85))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB84, constB85)) | (v95(constB85) <=> (~((~v1(constB85)) | (~v96(constB85))))))),
% 8.10/5.66 inference(transitivity,[status(thm)],[5904, 5902])).
% 8.10/5.66 tff(5906,plain,
% 8.10/5.66 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB84, constB85)) | (v95(constB85) <=> (~((~v96(constB85)) | (~v1(constB85))))))),
% 8.10/5.66 inference(quant_inst,[status(thm)],[])).
% 8.10/5.66 tff(5907,plain,
% 8.10/5.66 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB84, constB85)) | (v95(constB85) <=> (~((~v1(constB85)) | (~v96(constB85)))))),
% 8.10/5.66 inference(modus_ponens,[status(thm)],[5906, 5905])).
% 8.10/5.66 tff(5908,plain,
% 8.10/5.66 (v95(constB85) <=> (~((~v1(constB85)) | (~v96(constB85))))),
% 8.10/5.66 inference(unit_resolution,[status(thm)],[5907, 5897, 795])).
% 8.10/5.66 tff(5909,plain,
% 8.10/5.66 (((~v1(constB85)) | (~v96(constB85))) | v1(constB85)),
% 8.10/5.66 inference(tautology,[status(thm)],[])).
% 8.10/5.66 tff(5910,plain,
% 8.10/5.66 ((~v1(constB85)) | (~v96(constB85))),
% 8.10/5.66 inference(unit_resolution,[status(thm)],[5909, 5864])).
% 8.10/5.66 tff(5911,plain,
% 8.10/5.66 ((~(v95(constB85) <=> (~((~v1(constB85)) | (~v96(constB85)))))) | (~v95(constB85)) | (~((~v1(constB85)) | (~v96(constB85))))),
% 8.10/5.66 inference(tautology,[status(thm)],[])).
% 8.10/5.66 tff(5912,plain,
% 8.10/5.66 ((~(v95(constB85) <=> (~((~v1(constB85)) | (~v96(constB85)))))) | (~v95(constB85))),
% 8.10/5.66 inference(unit_resolution,[status(thm)],[5911, 5910])).
% 8.10/5.66 tff(5913,plain,
% 8.10/5.66 (~v95(constB85)),
% 8.10/5.66 inference(unit_resolution,[status(thm)],[5912, 5908])).
% 8.10/5.66 tff(5914,plain,
% 8.10/5.66 (((~v104(constB85)) | (~v95(constB85))) | v95(constB85)),
% 8.10/5.66 inference(tautology,[status(thm)],[])).
% 8.10/5.66 tff(5915,plain,
% 8.10/5.66 ((~v104(constB85)) | (~v95(constB85))),
% 8.10/5.66 inference(unit_resolution,[status(thm)],[5914, 5913])).
% 8.10/5.66 tff(5916,plain,
% 8.10/5.66 ((~(v94(constB85) <=> (~((~v104(constB85)) | (~v95(constB85)))))) | (~v94(constB85)) | (~((~v104(constB85)) | (~v95(constB85))))),
% 8.10/5.66 inference(tautology,[status(thm)],[])).
% 8.10/5.66 tff(5917,plain,
% 8.10/5.66 (~v94(constB85)),
% 8.10/5.66 inference(unit_resolution,[status(thm)],[5916, 5915, 5901])).
% 8.10/5.66 tff(5918,plain,
% 8.10/5.66 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB85) | (~nextState(constB84, constB85)) | ![B: $i] : ((~less_3(B)) | (v84(constB85, B) <=> v84(constB84, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB85) | (~nextState(constB84, constB85)) | ![B: $i] : ((~less_3(B)) | (v84(constB85, B) <=> v84(constB84, B))))),
% 8.10/5.66 inference(rewrite,[status(thm)],[])).
% 8.10/5.66 tff(5919,plain,
% 8.10/5.66 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB85) | (~nextState(constB84, constB85)) | ![B: $i] : ((~less_3(B)) | (v84(constB85, B) <=> v84(constB84, B))))),
% 8.10/5.66 inference(quant_inst,[status(thm)],[])).
% 8.10/5.66 tff(5920,plain,
% 8.10/5.66 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB85) | (~nextState(constB84, constB85)) | ![B: $i] : ((~less_3(B)) | (v84(constB85, B) <=> v84(constB84, B)))),
% 8.10/5.66 inference(modus_ponens,[status(thm)],[5919, 5918])).
% 8.10/5.66 tff(5921,plain,
% 8.10/5.66 (v94(constB85) | ![B: $i] : ((~less_3(B)) | (v84(constB85, B) <=> v84(constB84, B)))),
% 8.10/5.66 inference(unit_resolution,[status(thm)],[5920, 5897, 824])).
% 8.10/5.66 tff(5922,plain,
% 8.10/5.66 (![B: $i] : ((~less_3(B)) | (v84(constB85, B) <=> v84(constB84, B)))),
% 8.10/5.66 inference(unit_resolution,[status(thm)],[5921, 5917])).
% 8.10/5.66 tff(5923,plain,
% 8.10/5.66 (((~![B: $i] : ((~less_3(B)) | (v84(constB85, B) <=> v84(constB84, B)))) | ((~less_3(bitIndex2)) | (v84(constB85, bitIndex2) <=> v84(constB84, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB85, B) <=> v84(constB84, B)))) | (~less_3(bitIndex2)) | (v84(constB85, bitIndex2) <=> v84(constB84, bitIndex2)))),
% 8.10/5.66 inference(rewrite,[status(thm)],[])).
% 8.10/5.66 tff(5924,plain,
% 8.10/5.66 ((~![B: $i] : ((~less_3(B)) | (v84(constB85, B) <=> v84(constB84, B)))) | ((~less_3(bitIndex2)) | (v84(constB85, bitIndex2) <=> v84(constB84, bitIndex2)))),
% 8.10/5.66 inference(quant_inst,[status(thm)],[])).
% 8.10/5.66 tff(5925,plain,
% 8.10/5.66 ((~![B: $i] : ((~less_3(B)) | (v84(constB85, B) <=> v84(constB84, B)))) | (~less_3(bitIndex2)) | (v84(constB85, bitIndex2) <=> v84(constB84, bitIndex2))),
% 8.10/5.66 inference(modus_ponens,[status(thm)],[5924, 5923])).
% 8.10/5.66 tff(5926,plain,
% 8.10/5.66 (v84(constB85, bitIndex2) <=> v84(constB84, bitIndex2)),
% 8.10/5.66 inference(unit_resolution,[status(thm)],[5925, 832, 5922])).
% 8.10/5.66 tff(5927,plain,
% 8.10/5.66 (nextState(constB83, constB84) <=> nextState(constB83, constB84)),
% 8.10/5.66 inference(rewrite,[status(thm)],[])).
% 8.10/5.66 tff(5928,axiom,(nextState(constB83, constB84)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_83')).
% 8.10/5.66 tff(5929,plain,
% 8.10/5.66 (nextState(constB83, constB84)),
% 8.10/5.66 inference(modus_ponens,[status(thm)],[5928, 5927])).
% 8.10/5.66 tff(5930,plain,
% 8.10/5.66 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB83, constB84)) | (v94(constB84) <=> (~((~v104(constB84)) | (~v95(constB84))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB83, constB84)) | (v94(constB84) <=> (~((~v104(constB84)) | (~v95(constB84))))))),
% 8.10/5.66 inference(rewrite,[status(thm)],[])).
% 8.10/5.66 tff(5931,plain,
% 8.10/5.66 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB83, constB84)) | (v94(constB84) <=> (~((~v104(constB84)) | (~v95(constB84))))))),
% 8.10/5.66 inference(quant_inst,[status(thm)],[])).
% 8.10/5.66 tff(5932,plain,
% 8.10/5.66 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB83, constB84)) | (v94(constB84) <=> (~((~v104(constB84)) | (~v95(constB84)))))),
% 8.10/5.66 inference(modus_ponens,[status(thm)],[5931, 5930])).
% 8.10/5.66 tff(5933,plain,
% 8.10/5.66 (v94(constB84) <=> (~((~v104(constB84)) | (~v95(constB84))))),
% 8.10/5.66 inference(unit_resolution,[status(thm)],[5932, 5929, 775])).
% 8.10/5.66 tff(5934,plain,
% 8.10/5.66 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB83, constB84)) | (v95(constB84) <=> (~((~v1(constB84)) | (~v96(constB84))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB83, constB84)) | (v95(constB84) <=> (~((~v1(constB84)) | (~v96(constB84))))))),
% 8.10/5.66 inference(rewrite,[status(thm)],[])).
% 8.10/5.66 tff(5935,plain,
% 8.10/5.66 (((~nextState(constB83, constB84)) | (v95(constB84) <=> (~((~v96(constB84)) | (~v1(constB84)))))) <=> ((~nextState(constB83, constB84)) | (v95(constB84) <=> (~((~v1(constB84)) | (~v96(constB84))))))),
% 8.10/5.66 inference(rewrite,[status(thm)],[])).
% 8.10/5.66 tff(5936,plain,
% 8.10/5.66 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB83, constB84)) | (v95(constB84) <=> (~((~v96(constB84)) | (~v1(constB84))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB83, constB84)) | (v95(constB84) <=> (~((~v1(constB84)) | (~v96(constB84)))))))),
% 8.10/5.66 inference(monotonicity,[status(thm)],[5935])).
% 8.10/5.66 tff(5937,plain,
% 8.10/5.66 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB83, constB84)) | (v95(constB84) <=> (~((~v96(constB84)) | (~v1(constB84))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB83, constB84)) | (v95(constB84) <=> (~((~v1(constB84)) | (~v96(constB84))))))),
% 8.10/5.66 inference(transitivity,[status(thm)],[5936, 5934])).
% 8.10/5.66 tff(5938,plain,
% 8.10/5.66 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB83, constB84)) | (v95(constB84) <=> (~((~v96(constB84)) | (~v1(constB84))))))),
% 8.10/5.66 inference(quant_inst,[status(thm)],[])).
% 8.10/5.66 tff(5939,plain,
% 8.10/5.66 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB83, constB84)) | (v95(constB84) <=> (~((~v1(constB84)) | (~v96(constB84)))))),
% 8.10/5.66 inference(modus_ponens,[status(thm)],[5938, 5937])).
% 8.10/5.66 tff(5940,plain,
% 8.10/5.66 (v95(constB84) <=> (~((~v1(constB84)) | (~v96(constB84))))),
% 8.10/5.66 inference(unit_resolution,[status(thm)],[5939, 5929, 795])).
% 8.10/5.66 tff(5941,plain,
% 8.10/5.66 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB83, constB84)) | ((~v96(constB84)) <=> v98(constB84)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB83, constB84)) | ((~v96(constB84)) <=> v98(constB84)))),
% 8.10/5.66 inference(rewrite,[status(thm)],[])).
% 8.10/5.66 tff(5942,plain,
% 8.10/5.66 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB83, constB84)) | ((~v96(constB84)) <=> v98(constB84)))),
% 8.10/5.66 inference(quant_inst,[status(thm)],[])).
% 8.10/5.66 tff(5943,plain,
% 8.10/5.66 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB83, constB84)) | ((~v96(constB84)) <=> v98(constB84))),
% 8.10/5.66 inference(modus_ponens,[status(thm)],[5942, 5941])).
% 8.10/5.66 tff(5944,plain,
% 8.10/5.66 ((~v96(constB84)) <=> v98(constB84)),
% 8.10/5.66 inference(unit_resolution,[status(thm)],[5943, 5929, 860])).
% 8.10/5.66 tff(5945,plain,
% 8.10/5.66 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB83, constB84)) | (v98(constB84) <=> v1(constB83)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB83, constB84)) | (v98(constB84) <=> v1(constB83)))),
% 8.10/5.66 inference(rewrite,[status(thm)],[])).
% 8.10/5.66 tff(5946,plain,
% 8.10/5.66 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB83, constB84)) | (v98(constB84) <=> v1(constB83)))),
% 8.10/5.66 inference(quant_inst,[status(thm)],[])).
% 8.10/5.66 tff(5947,plain,
% 8.10/5.66 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB83, constB84)) | (v98(constB84) <=> v1(constB83))),
% 8.10/5.66 inference(modus_ponens,[status(thm)],[5946, 5945])).
% 8.10/5.66 tff(5948,plain,
% 8.10/5.66 (v98(constB84) <=> v1(constB83)),
% 8.10/5.66 inference(unit_resolution,[status(thm)],[5947, 5929, 874])).
% 8.10/5.66 tff(5949,plain,
% 8.10/5.66 ((~v1(constB83)) <=> (~v1(constB83))),
% 8.10/5.66 inference(rewrite,[status(thm)],[])).
% 8.10/5.66 tff(5950,axiom,(~v1(constB83)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_83')).
% 8.10/5.66 tff(5951,plain,
% 8.10/5.66 (~v1(constB83)),
% 8.10/5.66 inference(modus_ponens,[status(thm)],[5950, 5949])).
% 8.10/5.66 tff(5952,plain,
% 8.10/5.66 ((~(v98(constB84) <=> v1(constB83))) | (~v98(constB84)) | v1(constB83)),
% 8.10/5.66 inference(tautology,[status(thm)],[])).
% 8.10/5.66 tff(5953,plain,
% 8.10/5.66 ((~(v98(constB84) <=> v1(constB83))) | (~v98(constB84))),
% 8.10/5.66 inference(unit_resolution,[status(thm)],[5952, 5951])).
% 8.10/5.66 tff(5954,plain,
% 8.10/5.66 (~v98(constB84)),
% 8.10/5.66 inference(unit_resolution,[status(thm)],[5953, 5948])).
% 8.10/5.66 tff(5955,plain,
% 8.10/5.66 ((~((~v96(constB84)) <=> v98(constB84))) | v96(constB84) | v98(constB84)),
% 8.10/5.66 inference(tautology,[status(thm)],[])).
% 8.10/5.66 tff(5956,plain,
% 8.10/5.66 (v96(constB84)),
% 8.10/5.66 inference(unit_resolution,[status(thm)],[5955, 5954, 5944])).
% 8.10/5.66 tff(5957,plain,
% 8.10/5.66 (v1(constB84) <=> v1(constB84)),
% 8.10/5.66 inference(rewrite,[status(thm)],[])).
% 8.10/5.66 tff(5958,axiom,(v1(constB84)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_84')).
% 8.10/5.66 tff(5959,plain,
% 8.10/5.66 (v1(constB84)),
% 8.10/5.66 inference(modus_ponens,[status(thm)],[5958, 5957])).
% 8.10/5.66 tff(5960,plain,
% 8.10/5.66 ((~((~v1(constB84)) | (~v96(constB84)))) | (~v1(constB84)) | (~v96(constB84))),
% 8.10/5.66 inference(tautology,[status(thm)],[])).
% 8.10/5.66 tff(5961,plain,
% 8.10/5.66 ((~((~v1(constB84)) | (~v96(constB84)))) | (~v96(constB84))),
% 8.10/5.66 inference(unit_resolution,[status(thm)],[5960, 5959])).
% 8.10/5.66 tff(5962,plain,
% 8.10/5.66 (~((~v1(constB84)) | (~v96(constB84)))),
% 8.10/5.66 inference(unit_resolution,[status(thm)],[5961, 5956])).
% 8.10/5.66 tff(5963,plain,
% 8.10/5.66 ((~(v95(constB84) <=> (~((~v1(constB84)) | (~v96(constB84)))))) | v95(constB84) | ((~v1(constB84)) | (~v96(constB84)))),
% 8.10/5.66 inference(tautology,[status(thm)],[])).
% 8.10/5.66 tff(5964,plain,
% 8.10/5.66 (v95(constB84)),
% 8.10/5.66 inference(unit_resolution,[status(thm)],[5963, 5962, 5940])).
% 8.10/5.66 tff(5965,plain,
% 8.10/5.66 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB83, constB84)) | (v104(constB84) <=> v102(constB83)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB83, constB84)) | (v104(constB84) <=> v102(constB83)))),
% 8.10/5.66 inference(rewrite,[status(thm)],[])).
% 8.10/5.66 tff(5966,plain,
% 8.10/5.66 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB83, constB84)) | (v104(constB84) <=> v102(constB83)))),
% 8.10/5.66 inference(quant_inst,[status(thm)],[])).
% 8.10/5.66 tff(5967,plain,
% 8.10/5.66 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB83, constB84)) | (v104(constB84) <=> v102(constB83))),
% 8.10/5.66 inference(modus_ponens,[status(thm)],[5966, 5965])).
% 8.10/5.66 tff(5968,plain,
% 8.10/5.66 (v104(constB84) <=> v102(constB83)),
% 8.10/5.66 inference(unit_resolution,[status(thm)],[5967, 5929, 904])).
% 8.10/5.66 tff(5969,plain,
% 8.10/5.66 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB83) <=> (v105(constB83) | v106(constB83)))),
% 8.10/5.66 inference(quant_inst,[status(thm)],[])).
% 8.10/5.66 tff(5970,plain,
% 8.10/5.66 (v102(constB83) <=> (v105(constB83) | v106(constB83))),
% 8.10/5.66 inference(unit_resolution,[status(thm)],[5969, 915])).
% 8.10/5.66 tff(5971,plain,
% 8.10/5.66 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB83) <=> (~((~v107(constB83)) | (~v120(constB83)))))),
% 8.10/5.66 inference(quant_inst,[status(thm)],[])).
% 8.10/5.66 tff(5972,plain,
% 8.10/5.66 (v106(constB83) <=> (~((~v107(constB83)) | (~v120(constB83))))),
% 8.10/5.66 inference(unit_resolution,[status(thm)],[5971, 927])).
% 8.10/5.66 tff(5973,plain,
% 8.10/5.66 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB83) <=> (v108(constB83) | v119(constB83)))),
% 8.10/5.66 inference(quant_inst,[status(thm)],[])).
% 8.10/5.66 tff(5974,plain,
% 8.10/5.66 (v107(constB83) <=> (v108(constB83) | v119(constB83))),
% 8.10/5.66 inference(unit_resolution,[status(thm)],[5973, 936])).
% 8.10/5.66 tff(5975,plain,
% 8.10/5.66 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB83) <=> (v109(constB83) | v118(constB83)))),
% 8.10/5.66 inference(quant_inst,[status(thm)],[])).
% 8.10/5.66 tff(5976,plain,
% 8.10/5.66 (v108(constB83) <=> (v109(constB83) | v118(constB83))),
% 8.10/5.66 inference(unit_resolution,[status(thm)],[5975, 945])).
% 8.10/5.66 tff(5977,plain,
% 8.10/5.66 (((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB83) <=> (~((~v84(constB83, bitIndex2)) | v84(constB83, bitIndex1) | (~v84(constB83, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB83) <=> (~((~v84(constB83, bitIndex2)) | v84(constB83, bitIndex1) | (~v84(constB83, bitIndex0))))))),
% 8.10/5.66 inference(rewrite,[status(thm)],[])).
% 8.10/5.66 tff(5978,plain,
% 8.10/5.66 ((v118(constB83) <=> (~(v84(constB83, bitIndex1) | (~v84(constB83, bitIndex0)) | (~v84(constB83, bitIndex2))))) <=> (v118(constB83) <=> (~((~v84(constB83, bitIndex2)) | v84(constB83, bitIndex1) | (~v84(constB83, bitIndex0)))))),
% 8.10/5.66 inference(rewrite,[status(thm)],[])).
% 8.10/5.66 tff(5979,plain,
% 8.10/5.66 (((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB83) <=> (~(v84(constB83, bitIndex1) | (~v84(constB83, bitIndex0)) | (~v84(constB83, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB83) <=> (~((~v84(constB83, bitIndex2)) | v84(constB83, bitIndex1) | (~v84(constB83, bitIndex0))))))),
% 8.10/5.66 inference(monotonicity,[status(thm)],[5978])).
% 8.10/5.66 tff(5980,plain,
% 8.10/5.66 (((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB83) <=> (~(v84(constB83, bitIndex1) | (~v84(constB83, bitIndex0)) | (~v84(constB83, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB83) <=> (~((~v84(constB83, bitIndex2)) | v84(constB83, bitIndex1) | (~v84(constB83, bitIndex0))))))),
% 8.10/5.66 inference(transitivity,[status(thm)],[5979, 5977])).
% 8.10/5.66 tff(5981,plain,
% 8.10/5.66 ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB83) <=> (~(v84(constB83, bitIndex1) | (~v84(constB83, bitIndex0)) | (~v84(constB83, bitIndex2)))))),
% 8.10/5.66 inference(quant_inst,[status(thm)],[])).
% 8.10/5.66 tff(5982,plain,
% 8.10/5.66 ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB83) <=> (~((~v84(constB83, bitIndex2)) | v84(constB83, bitIndex1) | (~v84(constB83, bitIndex0)))))),
% 8.10/5.66 inference(modus_ponens,[status(thm)],[5981, 5980])).
% 8.10/5.66 tff(5983,plain,
% 8.10/5.66 (v118(constB83) <=> (~((~v84(constB83, bitIndex2)) | v84(constB83, bitIndex1) | (~v84(constB83, bitIndex0))))),
% 8.10/5.66 inference(unit_resolution,[status(thm)],[5982, 960])).
% 8.10/5.66 tff(5984,plain,
% 8.10/5.66 (nextState(constB82, constB83) <=> nextState(constB82, constB83)),
% 8.10/5.66 inference(rewrite,[status(thm)],[])).
% 8.10/5.66 tff(5985,axiom,(nextState(constB82, constB83)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_82')).
% 8.10/5.66 tff(5986,plain,
% 8.10/5.66 (nextState(constB82, constB83)),
% 8.10/5.66 inference(modus_ponens,[status(thm)],[5985, 5984])).
% 8.10/5.66 tff(5987,plain,
% 8.10/5.66 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB82, constB83)) | (v94(constB83) <=> (~((~v104(constB83)) | (~v95(constB83))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB82, constB83)) | (v94(constB83) <=> (~((~v104(constB83)) | (~v95(constB83))))))),
% 8.10/5.66 inference(rewrite,[status(thm)],[])).
% 8.10/5.66 tff(5988,plain,
% 8.10/5.66 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB82, constB83)) | (v94(constB83) <=> (~((~v104(constB83)) | (~v95(constB83))))))),
% 8.10/5.66 inference(quant_inst,[status(thm)],[])).
% 8.10/5.66 tff(5989,plain,
% 8.10/5.66 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB82, constB83)) | (v94(constB83) <=> (~((~v104(constB83)) | (~v95(constB83)))))),
% 8.10/5.66 inference(modus_ponens,[status(thm)],[5988, 5987])).
% 8.10/5.66 tff(5990,plain,
% 8.10/5.66 (v94(constB83) <=> (~((~v104(constB83)) | (~v95(constB83))))),
% 8.10/5.66 inference(unit_resolution,[status(thm)],[5989, 5986, 775])).
% 8.10/5.66 tff(5991,plain,
% 8.10/5.66 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB82, constB83)) | (v95(constB83) <=> (~((~v1(constB83)) | (~v96(constB83))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB82, constB83)) | (v95(constB83) <=> (~((~v1(constB83)) | (~v96(constB83))))))),
% 8.10/5.66 inference(rewrite,[status(thm)],[])).
% 8.10/5.66 tff(5992,plain,
% 8.10/5.66 (((~nextState(constB82, constB83)) | (v95(constB83) <=> (~((~v96(constB83)) | (~v1(constB83)))))) <=> ((~nextState(constB82, constB83)) | (v95(constB83) <=> (~((~v1(constB83)) | (~v96(constB83))))))),
% 8.10/5.66 inference(rewrite,[status(thm)],[])).
% 8.10/5.66 tff(5993,plain,
% 8.10/5.66 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB82, constB83)) | (v95(constB83) <=> (~((~v96(constB83)) | (~v1(constB83))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB82, constB83)) | (v95(constB83) <=> (~((~v1(constB83)) | (~v96(constB83)))))))),
% 8.10/5.66 inference(monotonicity,[status(thm)],[5992])).
% 8.10/5.66 tff(5994,plain,
% 8.10/5.66 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB82, constB83)) | (v95(constB83) <=> (~((~v96(constB83)) | (~v1(constB83))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB82, constB83)) | (v95(constB83) <=> (~((~v1(constB83)) | (~v96(constB83))))))),
% 8.10/5.66 inference(transitivity,[status(thm)],[5993, 5991])).
% 8.10/5.66 tff(5995,plain,
% 8.10/5.66 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB82, constB83)) | (v95(constB83) <=> (~((~v96(constB83)) | (~v1(constB83))))))),
% 8.10/5.66 inference(quant_inst,[status(thm)],[])).
% 8.10/5.66 tff(5996,plain,
% 8.10/5.66 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB82, constB83)) | (v95(constB83) <=> (~((~v1(constB83)) | (~v96(constB83)))))),
% 8.10/5.66 inference(modus_ponens,[status(thm)],[5995, 5994])).
% 8.10/5.66 tff(5997,plain,
% 8.10/5.66 (v95(constB83) <=> (~((~v1(constB83)) | (~v96(constB83))))),
% 8.10/5.66 inference(unit_resolution,[status(thm)],[5996, 5986, 795])).
% 8.10/5.66 tff(5998,plain,
% 8.10/5.66 (((~v1(constB83)) | (~v96(constB83))) | v1(constB83)),
% 8.10/5.66 inference(tautology,[status(thm)],[])).
% 8.10/5.66 tff(5999,plain,
% 8.10/5.66 ((~v1(constB83)) | (~v96(constB83))),
% 8.10/5.66 inference(unit_resolution,[status(thm)],[5998, 5951])).
% 8.10/5.66 tff(6000,plain,
% 8.10/5.66 ((~(v95(constB83) <=> (~((~v1(constB83)) | (~v96(constB83)))))) | (~v95(constB83)) | (~((~v1(constB83)) | (~v96(constB83))))),
% 8.10/5.66 inference(tautology,[status(thm)],[])).
% 8.10/5.66 tff(6001,plain,
% 8.10/5.66 ((~(v95(constB83) <=> (~((~v1(constB83)) | (~v96(constB83)))))) | (~v95(constB83))),
% 8.10/5.66 inference(unit_resolution,[status(thm)],[6000, 5999])).
% 8.10/5.66 tff(6002,plain,
% 8.10/5.66 (~v95(constB83)),
% 8.10/5.66 inference(unit_resolution,[status(thm)],[6001, 5997])).
% 8.10/5.66 tff(6003,plain,
% 8.10/5.66 (((~v104(constB83)) | (~v95(constB83))) | v95(constB83)),
% 8.10/5.66 inference(tautology,[status(thm)],[])).
% 8.10/5.66 tff(6004,plain,
% 8.10/5.66 ((~v104(constB83)) | (~v95(constB83))),
% 8.10/5.66 inference(unit_resolution,[status(thm)],[6003, 6002])).
% 8.10/5.66 tff(6005,plain,
% 8.10/5.66 ((~(v94(constB83) <=> (~((~v104(constB83)) | (~v95(constB83)))))) | (~v94(constB83)) | (~((~v104(constB83)) | (~v95(constB83))))),
% 8.10/5.66 inference(tautology,[status(thm)],[])).
% 8.10/5.66 tff(6006,plain,
% 8.10/5.66 (~v94(constB83)),
% 8.10/5.66 inference(unit_resolution,[status(thm)],[6005, 6004, 5990])).
% 8.10/5.66 tff(6007,plain,
% 8.10/5.66 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB83) | (~nextState(constB82, constB83)) | ![B: $i] : ((~less_3(B)) | (v84(constB83, B) <=> v84(constB82, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB83) | (~nextState(constB82, constB83)) | ![B: $i] : ((~less_3(B)) | (v84(constB83, B) <=> v84(constB82, B))))),
% 8.10/5.66 inference(rewrite,[status(thm)],[])).
% 8.10/5.66 tff(6008,plain,
% 8.10/5.66 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB83) | (~nextState(constB82, constB83)) | ![B: $i] : ((~less_3(B)) | (v84(constB83, B) <=> v84(constB82, B))))),
% 8.10/5.66 inference(quant_inst,[status(thm)],[])).
% 8.10/5.66 tff(6009,plain,
% 8.10/5.66 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB83) | (~nextState(constB82, constB83)) | ![B: $i] : ((~less_3(B)) | (v84(constB83, B) <=> v84(constB82, B)))),
% 8.10/5.67 inference(modus_ponens,[status(thm)],[6008, 6007])).
% 8.10/5.67 tff(6010,plain,
% 8.10/5.67 (v94(constB83) | ![B: $i] : ((~less_3(B)) | (v84(constB83, B) <=> v84(constB82, B)))),
% 8.10/5.67 inference(unit_resolution,[status(thm)],[6009, 5986, 824])).
% 8.10/5.67 tff(6011,plain,
% 8.10/5.67 (![B: $i] : ((~less_3(B)) | (v84(constB83, B) <=> v84(constB82, B)))),
% 8.10/5.67 inference(unit_resolution,[status(thm)],[6010, 6006])).
% 8.10/5.67 tff(6012,plain,
% 8.10/5.67 (((~![B: $i] : ((~less_3(B)) | (v84(constB83, B) <=> v84(constB82, B)))) | ((~less_3(bitIndex2)) | (v84(constB83, bitIndex2) <=> v84(constB82, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB83, B) <=> v84(constB82, B)))) | (~less_3(bitIndex2)) | (v84(constB83, bitIndex2) <=> v84(constB82, bitIndex2)))),
% 8.10/5.67 inference(rewrite,[status(thm)],[])).
% 8.10/5.67 tff(6013,plain,
% 8.10/5.67 ((~![B: $i] : ((~less_3(B)) | (v84(constB83, B) <=> v84(constB82, B)))) | ((~less_3(bitIndex2)) | (v84(constB83, bitIndex2) <=> v84(constB82, bitIndex2)))),
% 8.10/5.67 inference(quant_inst,[status(thm)],[])).
% 8.10/5.67 tff(6014,plain,
% 8.10/5.67 ((~![B: $i] : ((~less_3(B)) | (v84(constB83, B) <=> v84(constB82, B)))) | (~less_3(bitIndex2)) | (v84(constB83, bitIndex2) <=> v84(constB82, bitIndex2))),
% 8.10/5.67 inference(modus_ponens,[status(thm)],[6013, 6012])).
% 8.10/5.67 tff(6015,plain,
% 8.10/5.67 (v84(constB83, bitIndex2) <=> v84(constB82, bitIndex2)),
% 8.10/5.67 inference(unit_resolution,[status(thm)],[6014, 832, 6011])).
% 8.10/5.67 tff(6016,plain,
% 8.10/5.67 (nextState(constB81, constB82) <=> nextState(constB81, constB82)),
% 8.10/5.67 inference(rewrite,[status(thm)],[])).
% 8.10/5.67 tff(6017,axiom,(nextState(constB81, constB82)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_81')).
% 8.10/5.67 tff(6018,plain,
% 8.10/5.67 (nextState(constB81, constB82)),
% 8.10/5.67 inference(modus_ponens,[status(thm)],[6017, 6016])).
% 8.10/5.67 tff(6019,plain,
% 8.10/5.67 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB81, constB82)) | (v94(constB82) <=> (~((~v104(constB82)) | (~v95(constB82))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB81, constB82)) | (v94(constB82) <=> (~((~v104(constB82)) | (~v95(constB82))))))),
% 8.10/5.67 inference(rewrite,[status(thm)],[])).
% 8.10/5.67 tff(6020,plain,
% 8.10/5.67 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB81, constB82)) | (v94(constB82) <=> (~((~v104(constB82)) | (~v95(constB82))))))),
% 8.10/5.67 inference(quant_inst,[status(thm)],[])).
% 8.10/5.67 tff(6021,plain,
% 8.10/5.67 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB81, constB82)) | (v94(constB82) <=> (~((~v104(constB82)) | (~v95(constB82)))))),
% 8.10/5.67 inference(modus_ponens,[status(thm)],[6020, 6019])).
% 8.10/5.67 tff(6022,plain,
% 8.10/5.67 (v94(constB82) <=> (~((~v104(constB82)) | (~v95(constB82))))),
% 8.10/5.67 inference(unit_resolution,[status(thm)],[6021, 6018, 775])).
% 8.10/5.67 tff(6023,plain,
% 8.10/5.67 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB81, constB82)) | (v95(constB82) <=> (~((~v1(constB82)) | (~v96(constB82))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB81, constB82)) | (v95(constB82) <=> (~((~v1(constB82)) | (~v96(constB82))))))),
% 8.10/5.67 inference(rewrite,[status(thm)],[])).
% 8.10/5.67 tff(6024,plain,
% 8.10/5.67 (((~nextState(constB81, constB82)) | (v95(constB82) <=> (~((~v96(constB82)) | (~v1(constB82)))))) <=> ((~nextState(constB81, constB82)) | (v95(constB82) <=> (~((~v1(constB82)) | (~v96(constB82))))))),
% 8.10/5.67 inference(rewrite,[status(thm)],[])).
% 8.10/5.67 tff(6025,plain,
% 8.10/5.67 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB81, constB82)) | (v95(constB82) <=> (~((~v96(constB82)) | (~v1(constB82))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB81, constB82)) | (v95(constB82) <=> (~((~v1(constB82)) | (~v96(constB82)))))))),
% 8.10/5.67 inference(monotonicity,[status(thm)],[6024])).
% 8.10/5.67 tff(6026,plain,
% 8.10/5.67 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB81, constB82)) | (v95(constB82) <=> (~((~v96(constB82)) | (~v1(constB82))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB81, constB82)) | (v95(constB82) <=> (~((~v1(constB82)) | (~v96(constB82))))))),
% 8.10/5.67 inference(transitivity,[status(thm)],[6025, 6023])).
% 8.10/5.67 tff(6027,plain,
% 8.10/5.67 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB81, constB82)) | (v95(constB82) <=> (~((~v96(constB82)) | (~v1(constB82))))))),
% 8.10/5.67 inference(quant_inst,[status(thm)],[])).
% 8.10/5.67 tff(6028,plain,
% 8.10/5.67 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB81, constB82)) | (v95(constB82) <=> (~((~v1(constB82)) | (~v96(constB82)))))),
% 8.10/5.67 inference(modus_ponens,[status(thm)],[6027, 6026])).
% 8.10/5.67 tff(6029,plain,
% 8.10/5.67 (v95(constB82) <=> (~((~v1(constB82)) | (~v96(constB82))))),
% 8.10/5.67 inference(unit_resolution,[status(thm)],[6028, 6018, 795])).
% 8.10/5.67 tff(6030,plain,
% 8.10/5.67 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB81, constB82)) | ((~v96(constB82)) <=> v98(constB82)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB81, constB82)) | ((~v96(constB82)) <=> v98(constB82)))),
% 8.10/5.67 inference(rewrite,[status(thm)],[])).
% 8.10/5.67 tff(6031,plain,
% 8.10/5.67 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB81, constB82)) | ((~v96(constB82)) <=> v98(constB82)))),
% 8.10/5.67 inference(quant_inst,[status(thm)],[])).
% 8.10/5.67 tff(6032,plain,
% 8.10/5.67 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB81, constB82)) | ((~v96(constB82)) <=> v98(constB82))),
% 8.10/5.67 inference(modus_ponens,[status(thm)],[6031, 6030])).
% 8.10/5.67 tff(6033,plain,
% 8.10/5.67 ((~v96(constB82)) <=> v98(constB82)),
% 8.10/5.67 inference(unit_resolution,[status(thm)],[6032, 6018, 860])).
% 8.10/5.67 tff(6034,plain,
% 8.10/5.67 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB81, constB82)) | (v98(constB82) <=> v1(constB81)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB81, constB82)) | (v98(constB82) <=> v1(constB81)))),
% 8.10/5.67 inference(rewrite,[status(thm)],[])).
% 8.10/5.67 tff(6035,plain,
% 8.10/5.67 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB81, constB82)) | (v98(constB82) <=> v1(constB81)))),
% 8.10/5.67 inference(quant_inst,[status(thm)],[])).
% 8.10/5.67 tff(6036,plain,
% 8.10/5.67 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB81, constB82)) | (v98(constB82) <=> v1(constB81))),
% 8.10/5.67 inference(modus_ponens,[status(thm)],[6035, 6034])).
% 8.10/5.67 tff(6037,plain,
% 8.10/5.67 (v98(constB82) <=> v1(constB81)),
% 8.10/5.67 inference(unit_resolution,[status(thm)],[6036, 6018, 874])).
% 8.10/5.67 tff(6038,plain,
% 8.10/5.67 ((~v1(constB81)) <=> (~v1(constB81))),
% 8.10/5.67 inference(rewrite,[status(thm)],[])).
% 8.10/5.67 tff(6039,axiom,(~v1(constB81)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_81')).
% 8.10/5.67 tff(6040,plain,
% 8.10/5.67 (~v1(constB81)),
% 8.10/5.67 inference(modus_ponens,[status(thm)],[6039, 6038])).
% 8.10/5.67 tff(6041,plain,
% 8.10/5.67 ((~(v98(constB82) <=> v1(constB81))) | (~v98(constB82)) | v1(constB81)),
% 8.10/5.67 inference(tautology,[status(thm)],[])).
% 8.10/5.67 tff(6042,plain,
% 8.10/5.67 ((~(v98(constB82) <=> v1(constB81))) | (~v98(constB82))),
% 8.10/5.67 inference(unit_resolution,[status(thm)],[6041, 6040])).
% 8.10/5.67 tff(6043,plain,
% 8.10/5.67 (~v98(constB82)),
% 8.10/5.67 inference(unit_resolution,[status(thm)],[6042, 6037])).
% 8.10/5.67 tff(6044,plain,
% 8.10/5.67 ((~((~v96(constB82)) <=> v98(constB82))) | v96(constB82) | v98(constB82)),
% 8.10/5.67 inference(tautology,[status(thm)],[])).
% 8.10/5.67 tff(6045,plain,
% 8.10/5.67 (v96(constB82)),
% 8.10/5.67 inference(unit_resolution,[status(thm)],[6044, 6043, 6033])).
% 8.10/5.67 tff(6046,plain,
% 8.10/5.67 (v1(constB82) <=> v1(constB82)),
% 8.10/5.67 inference(rewrite,[status(thm)],[])).
% 8.10/5.67 tff(6047,axiom,(v1(constB82)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_82')).
% 8.10/5.67 tff(6048,plain,
% 8.10/5.67 (v1(constB82)),
% 8.10/5.67 inference(modus_ponens,[status(thm)],[6047, 6046])).
% 8.10/5.67 tff(6049,plain,
% 8.10/5.67 ((~((~v1(constB82)) | (~v96(constB82)))) | (~v1(constB82)) | (~v96(constB82))),
% 8.10/5.67 inference(tautology,[status(thm)],[])).
% 8.10/5.67 tff(6050,plain,
% 8.10/5.67 ((~((~v1(constB82)) | (~v96(constB82)))) | (~v96(constB82))),
% 8.10/5.67 inference(unit_resolution,[status(thm)],[6049, 6048])).
% 8.10/5.67 tff(6051,plain,
% 8.10/5.67 (~((~v1(constB82)) | (~v96(constB82)))),
% 8.10/5.67 inference(unit_resolution,[status(thm)],[6050, 6045])).
% 8.10/5.67 tff(6052,plain,
% 8.10/5.67 ((~(v95(constB82) <=> (~((~v1(constB82)) | (~v96(constB82)))))) | v95(constB82) | ((~v1(constB82)) | (~v96(constB82)))),
% 8.10/5.67 inference(tautology,[status(thm)],[])).
% 8.10/5.67 tff(6053,plain,
% 8.10/5.67 (v95(constB82)),
% 8.10/5.67 inference(unit_resolution,[status(thm)],[6052, 6051, 6029])).
% 8.10/5.67 tff(6054,plain,
% 8.10/5.67 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB81, constB82)) | (v104(constB82) <=> v102(constB81)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB81, constB82)) | (v104(constB82) <=> v102(constB81)))),
% 8.10/5.67 inference(rewrite,[status(thm)],[])).
% 8.10/5.67 tff(6055,plain,
% 8.10/5.67 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB81, constB82)) | (v104(constB82) <=> v102(constB81)))),
% 8.10/5.67 inference(quant_inst,[status(thm)],[])).
% 8.10/5.67 tff(6056,plain,
% 8.10/5.67 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB81, constB82)) | (v104(constB82) <=> v102(constB81))),
% 8.10/5.67 inference(modus_ponens,[status(thm)],[6055, 6054])).
% 8.10/5.67 tff(6057,plain,
% 8.10/5.67 (v104(constB82) <=> v102(constB81)),
% 8.10/5.67 inference(unit_resolution,[status(thm)],[6056, 6018, 904])).
% 8.10/5.67 tff(6058,plain,
% 8.10/5.67 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB81) <=> (v105(constB81) | v106(constB81)))),
% 8.10/5.67 inference(quant_inst,[status(thm)],[])).
% 8.10/5.67 tff(6059,plain,
% 8.10/5.67 (v102(constB81) <=> (v105(constB81) | v106(constB81))),
% 8.10/5.67 inference(unit_resolution,[status(thm)],[6058, 915])).
% 8.10/5.67 tff(6060,plain,
% 8.10/5.67 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB81) <=> (~((~v107(constB81)) | (~v120(constB81)))))),
% 8.10/5.67 inference(quant_inst,[status(thm)],[])).
% 8.10/5.67 tff(6061,plain,
% 8.10/5.67 (v106(constB81) <=> (~((~v107(constB81)) | (~v120(constB81))))),
% 8.10/5.67 inference(unit_resolution,[status(thm)],[6060, 927])).
% 8.10/5.67 tff(6062,plain,
% 8.10/5.67 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB81) <=> (v108(constB81) | v119(constB81)))),
% 8.10/5.67 inference(quant_inst,[status(thm)],[])).
% 8.10/5.67 tff(6063,plain,
% 8.10/5.67 (v107(constB81) <=> (v108(constB81) | v119(constB81))),
% 8.10/5.67 inference(unit_resolution,[status(thm)],[6062, 936])).
% 8.10/5.67 tff(6064,plain,
% 8.10/5.67 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB81) <=> (v109(constB81) | v118(constB81)))),
% 8.10/5.67 inference(quant_inst,[status(thm)],[])).
% 8.10/5.67 tff(6065,plain,
% 8.10/5.67 (v108(constB81) <=> (v109(constB81) | v118(constB81))),
% 8.10/5.67 inference(unit_resolution,[status(thm)],[6064, 945])).
% 8.10/5.67 tff(6066,plain,
% 8.10/5.67 ((~![VarCurr: $i] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB81) <=> (v110(constB81) | v117(constB81)))),
% 8.10/5.67 inference(quant_inst,[status(thm)],[])).
% 8.10/5.67 tff(6067,plain,
% 8.10/5.67 (v109(constB81) <=> (v110(constB81) | v117(constB81))),
% 8.10/5.67 inference(unit_resolution,[status(thm)],[6066, 1056])).
% 8.10/5.67 tff(6068,plain,
% 8.10/5.67 (((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB81) <=> (~((~v84(constB81, bitIndex2)) | v84(constB81, bitIndex1) | v84(constB81, bitIndex0))))) <=> ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB81) <=> (~((~v84(constB81, bitIndex2)) | v84(constB81, bitIndex1) | v84(constB81, bitIndex0)))))),
% 8.10/5.67 inference(rewrite,[status(thm)],[])).
% 8.10/5.67 tff(6069,plain,
% 8.10/5.67 ((v117(constB81) <=> (~(v84(constB81, bitIndex0) | v84(constB81, bitIndex1) | (~v84(constB81, bitIndex2))))) <=> (v117(constB81) <=> (~((~v84(constB81, bitIndex2)) | v84(constB81, bitIndex1) | v84(constB81, bitIndex0))))),
% 8.10/5.67 inference(rewrite,[status(thm)],[])).
% 8.10/5.67 tff(6070,plain,
% 8.10/5.67 (((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB81) <=> (~(v84(constB81, bitIndex0) | v84(constB81, bitIndex1) | (~v84(constB81, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB81) <=> (~((~v84(constB81, bitIndex2)) | v84(constB81, bitIndex1) | v84(constB81, bitIndex0)))))),
% 8.10/5.67 inference(monotonicity,[status(thm)],[6069])).
% 8.10/5.67 tff(6071,plain,
% 8.10/5.67 (((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB81) <=> (~(v84(constB81, bitIndex0) | v84(constB81, bitIndex1) | (~v84(constB81, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB81) <=> (~((~v84(constB81, bitIndex2)) | v84(constB81, bitIndex1) | v84(constB81, bitIndex0)))))),
% 8.10/5.67 inference(transitivity,[status(thm)],[6070, 6068])).
% 8.10/5.67 tff(6072,plain,
% 8.10/5.67 ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB81) <=> (~(v84(constB81, bitIndex0) | v84(constB81, bitIndex1) | (~v84(constB81, bitIndex2)))))),
% 8.10/5.67 inference(quant_inst,[status(thm)],[])).
% 8.10/5.67 tff(6073,plain,
% 8.10/5.67 ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB81) <=> (~((~v84(constB81, bitIndex2)) | v84(constB81, bitIndex1) | v84(constB81, bitIndex0))))),
% 8.10/5.67 inference(modus_ponens,[status(thm)],[6072, 6071])).
% 8.10/5.67 tff(6074,plain,
% 8.10/5.67 (v117(constB81) <=> (~((~v84(constB81, bitIndex2)) | v84(constB81, bitIndex1) | v84(constB81, bitIndex0)))),
% 8.10/5.67 inference(unit_resolution,[status(thm)],[6073, 1071])).
% 8.10/5.67 tff(6075,plain,
% 8.10/5.67 (nextState(constB80, constB81) <=> nextState(constB80, constB81)),
% 8.10/5.67 inference(rewrite,[status(thm)],[])).
% 8.10/5.67 tff(6076,axiom,(nextState(constB80, constB81)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_80')).
% 8.10/5.67 tff(6077,plain,
% 8.10/5.67 (nextState(constB80, constB81)),
% 8.10/5.67 inference(modus_ponens,[status(thm)],[6076, 6075])).
% 8.10/5.67 tff(6078,plain,
% 8.10/5.67 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB80, constB81)) | (v94(constB81) <=> (~((~v104(constB81)) | (~v95(constB81))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB80, constB81)) | (v94(constB81) <=> (~((~v104(constB81)) | (~v95(constB81))))))),
% 8.10/5.67 inference(rewrite,[status(thm)],[])).
% 8.10/5.67 tff(6079,plain,
% 8.10/5.67 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB80, constB81)) | (v94(constB81) <=> (~((~v104(constB81)) | (~v95(constB81))))))),
% 8.10/5.67 inference(quant_inst,[status(thm)],[])).
% 8.10/5.67 tff(6080,plain,
% 8.10/5.67 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB80, constB81)) | (v94(constB81) <=> (~((~v104(constB81)) | (~v95(constB81)))))),
% 8.10/5.67 inference(modus_ponens,[status(thm)],[6079, 6078])).
% 8.10/5.67 tff(6081,plain,
% 8.10/5.67 (v94(constB81) <=> (~((~v104(constB81)) | (~v95(constB81))))),
% 8.10/5.67 inference(unit_resolution,[status(thm)],[6080, 6077, 775])).
% 8.10/5.67 tff(6082,plain,
% 8.10/5.67 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB80, constB81)) | (v95(constB81) <=> (~((~v1(constB81)) | (~v96(constB81))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB80, constB81)) | (v95(constB81) <=> (~((~v1(constB81)) | (~v96(constB81))))))),
% 8.10/5.67 inference(rewrite,[status(thm)],[])).
% 8.10/5.67 tff(6083,plain,
% 8.10/5.67 (((~nextState(constB80, constB81)) | (v95(constB81) <=> (~((~v96(constB81)) | (~v1(constB81)))))) <=> ((~nextState(constB80, constB81)) | (v95(constB81) <=> (~((~v1(constB81)) | (~v96(constB81))))))),
% 8.10/5.67 inference(rewrite,[status(thm)],[])).
% 8.10/5.67 tff(6084,plain,
% 8.10/5.67 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB80, constB81)) | (v95(constB81) <=> (~((~v96(constB81)) | (~v1(constB81))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB80, constB81)) | (v95(constB81) <=> (~((~v1(constB81)) | (~v96(constB81)))))))),
% 8.10/5.67 inference(monotonicity,[status(thm)],[6083])).
% 8.10/5.67 tff(6085,plain,
% 8.10/5.67 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB80, constB81)) | (v95(constB81) <=> (~((~v96(constB81)) | (~v1(constB81))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB80, constB81)) | (v95(constB81) <=> (~((~v1(constB81)) | (~v96(constB81))))))),
% 8.10/5.67 inference(transitivity,[status(thm)],[6084, 6082])).
% 8.10/5.67 tff(6086,plain,
% 8.10/5.67 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB80, constB81)) | (v95(constB81) <=> (~((~v96(constB81)) | (~v1(constB81))))))),
% 8.10/5.67 inference(quant_inst,[status(thm)],[])).
% 8.10/5.67 tff(6087,plain,
% 8.10/5.67 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB80, constB81)) | (v95(constB81) <=> (~((~v1(constB81)) | (~v96(constB81)))))),
% 8.10/5.67 inference(modus_ponens,[status(thm)],[6086, 6085])).
% 8.10/5.67 tff(6088,plain,
% 8.10/5.67 (v95(constB81) <=> (~((~v1(constB81)) | (~v96(constB81))))),
% 8.10/5.67 inference(unit_resolution,[status(thm)],[6087, 6077, 795])).
% 8.10/5.67 tff(6089,plain,
% 8.10/5.67 (((~v1(constB81)) | (~v96(constB81))) | v1(constB81)),
% 8.10/5.67 inference(tautology,[status(thm)],[])).
% 8.10/5.67 tff(6090,plain,
% 8.10/5.67 ((~v1(constB81)) | (~v96(constB81))),
% 8.10/5.67 inference(unit_resolution,[status(thm)],[6089, 6040])).
% 8.10/5.67 tff(6091,plain,
% 8.10/5.67 ((~(v95(constB81) <=> (~((~v1(constB81)) | (~v96(constB81)))))) | (~v95(constB81)) | (~((~v1(constB81)) | (~v96(constB81))))),
% 8.10/5.67 inference(tautology,[status(thm)],[])).
% 8.10/5.67 tff(6092,plain,
% 8.10/5.67 ((~(v95(constB81) <=> (~((~v1(constB81)) | (~v96(constB81)))))) | (~v95(constB81))),
% 8.10/5.67 inference(unit_resolution,[status(thm)],[6091, 6090])).
% 8.10/5.67 tff(6093,plain,
% 8.10/5.67 (~v95(constB81)),
% 8.10/5.67 inference(unit_resolution,[status(thm)],[6092, 6088])).
% 8.10/5.67 tff(6094,plain,
% 8.10/5.67 (((~v104(constB81)) | (~v95(constB81))) | v95(constB81)),
% 8.10/5.67 inference(tautology,[status(thm)],[])).
% 8.10/5.67 tff(6095,plain,
% 8.10/5.67 ((~v104(constB81)) | (~v95(constB81))),
% 8.10/5.67 inference(unit_resolution,[status(thm)],[6094, 6093])).
% 8.10/5.67 tff(6096,plain,
% 8.10/5.67 ((~(v94(constB81) <=> (~((~v104(constB81)) | (~v95(constB81)))))) | (~v94(constB81)) | (~((~v104(constB81)) | (~v95(constB81))))),
% 8.10/5.67 inference(tautology,[status(thm)],[])).
% 8.10/5.67 tff(6097,plain,
% 8.10/5.67 (~v94(constB81)),
% 8.10/5.67 inference(unit_resolution,[status(thm)],[6096, 6095, 6081])).
% 8.10/5.67 tff(6098,plain,
% 8.10/5.67 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB81) | (~nextState(constB80, constB81)) | ![B: $i] : ((~less_3(B)) | (v84(constB81, B) <=> v84(constB80, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB81) | (~nextState(constB80, constB81)) | ![B: $i] : ((~less_3(B)) | (v84(constB81, B) <=> v84(constB80, B))))),
% 8.10/5.67 inference(rewrite,[status(thm)],[])).
% 8.10/5.67 tff(6099,plain,
% 8.10/5.67 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB81) | (~nextState(constB80, constB81)) | ![B: $i] : ((~less_3(B)) | (v84(constB81, B) <=> v84(constB80, B))))),
% 8.10/5.67 inference(quant_inst,[status(thm)],[])).
% 8.10/5.67 tff(6100,plain,
% 8.10/5.67 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB81) | (~nextState(constB80, constB81)) | ![B: $i] : ((~less_3(B)) | (v84(constB81, B) <=> v84(constB80, B)))),
% 8.10/5.67 inference(modus_ponens,[status(thm)],[6099, 6098])).
% 8.10/5.67 tff(6101,plain,
% 8.10/5.67 (v94(constB81) | ![B: $i] : ((~less_3(B)) | (v84(constB81, B) <=> v84(constB80, B)))),
% 8.10/5.67 inference(unit_resolution,[status(thm)],[6100, 6077, 824])).
% 8.10/5.67 tff(6102,plain,
% 8.10/5.67 (![B: $i] : ((~less_3(B)) | (v84(constB81, B) <=> v84(constB80, B)))),
% 8.10/5.67 inference(unit_resolution,[status(thm)],[6101, 6097])).
% 8.10/5.67 tff(6103,plain,
% 8.10/5.67 (((~![B: $i] : ((~less_3(B)) | (v84(constB81, B) <=> v84(constB80, B)))) | ((~less_3(bitIndex2)) | (v84(constB81, bitIndex2) <=> v84(constB80, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB81, B) <=> v84(constB80, B)))) | (~less_3(bitIndex2)) | (v84(constB81, bitIndex2) <=> v84(constB80, bitIndex2)))),
% 8.10/5.67 inference(rewrite,[status(thm)],[])).
% 8.10/5.67 tff(6104,plain,
% 8.10/5.67 ((~![B: $i] : ((~less_3(B)) | (v84(constB81, B) <=> v84(constB80, B)))) | ((~less_3(bitIndex2)) | (v84(constB81, bitIndex2) <=> v84(constB80, bitIndex2)))),
% 8.10/5.67 inference(quant_inst,[status(thm)],[])).
% 8.10/5.67 tff(6105,plain,
% 8.10/5.67 ((~![B: $i] : ((~less_3(B)) | (v84(constB81, B) <=> v84(constB80, B)))) | (~less_3(bitIndex2)) | (v84(constB81, bitIndex2) <=> v84(constB80, bitIndex2))),
% 8.10/5.67 inference(modus_ponens,[status(thm)],[6104, 6103])).
% 8.10/5.67 tff(6106,plain,
% 8.10/5.67 (v84(constB81, bitIndex2) <=> v84(constB80, bitIndex2)),
% 8.10/5.67 inference(unit_resolution,[status(thm)],[6105, 832, 6102])).
% 8.10/5.67 tff(6107,plain,
% 8.10/5.67 (nextState(constB79, constB80) <=> nextState(constB79, constB80)),
% 8.10/5.67 inference(rewrite,[status(thm)],[])).
% 8.10/5.67 tff(6108,axiom,(nextState(constB79, constB80)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_79')).
% 8.10/5.67 tff(6109,plain,
% 8.10/5.67 (nextState(constB79, constB80)),
% 8.10/5.67 inference(modus_ponens,[status(thm)],[6108, 6107])).
% 8.10/5.67 tff(6110,plain,
% 8.10/5.67 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB79, constB80)) | (v94(constB80) <=> (~((~v104(constB80)) | (~v95(constB80))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB79, constB80)) | (v94(constB80) <=> (~((~v104(constB80)) | (~v95(constB80))))))),
% 8.10/5.67 inference(rewrite,[status(thm)],[])).
% 8.10/5.67 tff(6111,plain,
% 8.10/5.67 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB79, constB80)) | (v94(constB80) <=> (~((~v104(constB80)) | (~v95(constB80))))))),
% 8.10/5.67 inference(quant_inst,[status(thm)],[])).
% 8.10/5.67 tff(6112,plain,
% 8.10/5.67 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB79, constB80)) | (v94(constB80) <=> (~((~v104(constB80)) | (~v95(constB80)))))),
% 8.10/5.67 inference(modus_ponens,[status(thm)],[6111, 6110])).
% 8.10/5.67 tff(6113,plain,
% 8.10/5.67 (v94(constB80) <=> (~((~v104(constB80)) | (~v95(constB80))))),
% 8.10/5.67 inference(unit_resolution,[status(thm)],[6112, 6109, 775])).
% 8.10/5.67 tff(6114,plain,
% 8.10/5.67 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB79, constB80)) | (v95(constB80) <=> (~((~v1(constB80)) | (~v96(constB80))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB79, constB80)) | (v95(constB80) <=> (~((~v1(constB80)) | (~v96(constB80))))))),
% 8.10/5.67 inference(rewrite,[status(thm)],[])).
% 8.10/5.67 tff(6115,plain,
% 8.10/5.67 (((~nextState(constB79, constB80)) | (v95(constB80) <=> (~((~v96(constB80)) | (~v1(constB80)))))) <=> ((~nextState(constB79, constB80)) | (v95(constB80) <=> (~((~v1(constB80)) | (~v96(constB80))))))),
% 8.10/5.67 inference(rewrite,[status(thm)],[])).
% 8.10/5.67 tff(6116,plain,
% 8.10/5.67 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB79, constB80)) | (v95(constB80) <=> (~((~v96(constB80)) | (~v1(constB80))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB79, constB80)) | (v95(constB80) <=> (~((~v1(constB80)) | (~v96(constB80)))))))),
% 8.10/5.67 inference(monotonicity,[status(thm)],[6115])).
% 8.10/5.67 tff(6117,plain,
% 8.10/5.67 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB79, constB80)) | (v95(constB80) <=> (~((~v96(constB80)) | (~v1(constB80))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB79, constB80)) | (v95(constB80) <=> (~((~v1(constB80)) | (~v96(constB80))))))),
% 8.10/5.67 inference(transitivity,[status(thm)],[6116, 6114])).
% 8.10/5.67 tff(6118,plain,
% 8.10/5.67 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB79, constB80)) | (v95(constB80) <=> (~((~v96(constB80)) | (~v1(constB80))))))),
% 8.10/5.67 inference(quant_inst,[status(thm)],[])).
% 8.10/5.67 tff(6119,plain,
% 8.10/5.67 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB79, constB80)) | (v95(constB80) <=> (~((~v1(constB80)) | (~v96(constB80)))))),
% 8.10/5.67 inference(modus_ponens,[status(thm)],[6118, 6117])).
% 8.10/5.67 tff(6120,plain,
% 8.10/5.67 (v95(constB80) <=> (~((~v1(constB80)) | (~v96(constB80))))),
% 8.10/5.67 inference(unit_resolution,[status(thm)],[6119, 6109, 795])).
% 8.10/5.67 tff(6121,plain,
% 8.10/5.67 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB79, constB80)) | ((~v96(constB80)) <=> v98(constB80)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB79, constB80)) | ((~v96(constB80)) <=> v98(constB80)))),
% 8.10/5.67 inference(rewrite,[status(thm)],[])).
% 8.10/5.67 tff(6122,plain,
% 8.10/5.67 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB79, constB80)) | ((~v96(constB80)) <=> v98(constB80)))),
% 8.10/5.67 inference(quant_inst,[status(thm)],[])).
% 8.10/5.67 tff(6123,plain,
% 8.10/5.67 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB79, constB80)) | ((~v96(constB80)) <=> v98(constB80))),
% 8.10/5.67 inference(modus_ponens,[status(thm)],[6122, 6121])).
% 8.10/5.67 tff(6124,plain,
% 8.10/5.67 ((~v96(constB80)) <=> v98(constB80)),
% 8.10/5.67 inference(unit_resolution,[status(thm)],[6123, 6109, 860])).
% 8.10/5.67 tff(6125,plain,
% 8.10/5.67 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB79, constB80)) | (v98(constB80) <=> v1(constB79)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB79, constB80)) | (v98(constB80) <=> v1(constB79)))),
% 8.10/5.67 inference(rewrite,[status(thm)],[])).
% 8.10/5.67 tff(6126,plain,
% 8.10/5.67 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB79, constB80)) | (v98(constB80) <=> v1(constB79)))),
% 8.10/5.67 inference(quant_inst,[status(thm)],[])).
% 8.10/5.67 tff(6127,plain,
% 8.10/5.67 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB79, constB80)) | (v98(constB80) <=> v1(constB79))),
% 8.10/5.67 inference(modus_ponens,[status(thm)],[6126, 6125])).
% 8.10/5.67 tff(6128,plain,
% 8.10/5.67 (v98(constB80) <=> v1(constB79)),
% 8.10/5.67 inference(unit_resolution,[status(thm)],[6127, 6109, 874])).
% 8.10/5.67 tff(6129,plain,
% 8.10/5.67 ((~v1(constB79)) <=> (~v1(constB79))),
% 8.10/5.67 inference(rewrite,[status(thm)],[])).
% 8.10/5.67 tff(6130,axiom,(~v1(constB79)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_79')).
% 8.10/5.67 tff(6131,plain,
% 8.10/5.67 (~v1(constB79)),
% 8.10/5.67 inference(modus_ponens,[status(thm)],[6130, 6129])).
% 8.10/5.67 tff(6132,plain,
% 8.10/5.67 ((~(v98(constB80) <=> v1(constB79))) | (~v98(constB80)) | v1(constB79)),
% 8.10/5.67 inference(tautology,[status(thm)],[])).
% 8.10/5.67 tff(6133,plain,
% 8.10/5.67 ((~(v98(constB80) <=> v1(constB79))) | (~v98(constB80))),
% 8.10/5.67 inference(unit_resolution,[status(thm)],[6132, 6131])).
% 8.10/5.67 tff(6134,plain,
% 8.10/5.67 (~v98(constB80)),
% 8.10/5.67 inference(unit_resolution,[status(thm)],[6133, 6128])).
% 8.10/5.67 tff(6135,plain,
% 8.10/5.67 ((~((~v96(constB80)) <=> v98(constB80))) | v96(constB80) | v98(constB80)),
% 8.10/5.67 inference(tautology,[status(thm)],[])).
% 8.10/5.67 tff(6136,plain,
% 8.10/5.67 (v96(constB80)),
% 8.10/5.67 inference(unit_resolution,[status(thm)],[6135, 6134, 6124])).
% 8.10/5.67 tff(6137,plain,
% 8.10/5.67 (v1(constB80) <=> v1(constB80)),
% 8.10/5.67 inference(rewrite,[status(thm)],[])).
% 8.10/5.67 tff(6138,axiom,(v1(constB80)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_80')).
% 8.10/5.67 tff(6139,plain,
% 8.10/5.67 (v1(constB80)),
% 8.10/5.67 inference(modus_ponens,[status(thm)],[6138, 6137])).
% 8.10/5.67 tff(6140,plain,
% 8.10/5.67 ((~((~v1(constB80)) | (~v96(constB80)))) | (~v1(constB80)) | (~v96(constB80))),
% 8.10/5.67 inference(tautology,[status(thm)],[])).
% 8.10/5.67 tff(6141,plain,
% 8.10/5.67 ((~((~v1(constB80)) | (~v96(constB80)))) | (~v96(constB80))),
% 8.10/5.67 inference(unit_resolution,[status(thm)],[6140, 6139])).
% 8.10/5.67 tff(6142,plain,
% 8.10/5.67 (~((~v1(constB80)) | (~v96(constB80)))),
% 8.10/5.67 inference(unit_resolution,[status(thm)],[6141, 6136])).
% 8.10/5.67 tff(6143,plain,
% 8.10/5.67 ((~(v95(constB80) <=> (~((~v1(constB80)) | (~v96(constB80)))))) | v95(constB80) | ((~v1(constB80)) | (~v96(constB80)))),
% 8.10/5.67 inference(tautology,[status(thm)],[])).
% 8.10/5.67 tff(6144,plain,
% 8.10/5.67 (v95(constB80)),
% 8.10/5.67 inference(unit_resolution,[status(thm)],[6143, 6142, 6120])).
% 8.10/5.67 tff(6145,plain,
% 8.10/5.67 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB79, constB80)) | (v104(constB80) <=> v102(constB79)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB79, constB80)) | (v104(constB80) <=> v102(constB79)))),
% 8.10/5.67 inference(rewrite,[status(thm)],[])).
% 8.10/5.67 tff(6146,plain,
% 8.10/5.67 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB79, constB80)) | (v104(constB80) <=> v102(constB79)))),
% 8.10/5.67 inference(quant_inst,[status(thm)],[])).
% 8.10/5.67 tff(6147,plain,
% 8.10/5.67 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB79, constB80)) | (v104(constB80) <=> v102(constB79))),
% 8.10/5.67 inference(modus_ponens,[status(thm)],[6146, 6145])).
% 8.10/5.67 tff(6148,plain,
% 8.10/5.67 (v104(constB80) <=> v102(constB79)),
% 8.10/5.67 inference(unit_resolution,[status(thm)],[6147, 6109, 904])).
% 8.10/5.67 tff(6149,plain,
% 8.10/5.67 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB79) <=> (v105(constB79) | v106(constB79)))),
% 8.10/5.67 inference(quant_inst,[status(thm)],[])).
% 8.10/5.67 tff(6150,plain,
% 8.10/5.67 (v102(constB79) <=> (v105(constB79) | v106(constB79))),
% 8.10/5.67 inference(unit_resolution,[status(thm)],[6149, 915])).
% 8.10/5.67 tff(6151,plain,
% 8.10/5.67 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB79) <=> (~((~v107(constB79)) | (~v120(constB79)))))),
% 8.10/5.67 inference(quant_inst,[status(thm)],[])).
% 8.10/5.67 tff(6152,plain,
% 8.10/5.67 (v106(constB79) <=> (~((~v107(constB79)) | (~v120(constB79))))),
% 8.10/5.67 inference(unit_resolution,[status(thm)],[6151, 927])).
% 8.10/5.67 tff(6153,plain,
% 8.10/5.67 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB79) <=> (v108(constB79) | v119(constB79)))),
% 8.10/5.67 inference(quant_inst,[status(thm)],[])).
% 8.10/5.67 tff(6154,plain,
% 8.10/5.67 (v107(constB79) <=> (v108(constB79) | v119(constB79))),
% 8.10/5.67 inference(unit_resolution,[status(thm)],[6153, 936])).
% 8.10/5.67 tff(6155,plain,
% 8.10/5.67 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB79) <=> (v109(constB79) | v118(constB79)))),
% 8.10/5.67 inference(quant_inst,[status(thm)],[])).
% 8.10/5.67 tff(6156,plain,
% 8.10/5.67 (v108(constB79) <=> (v109(constB79) | v118(constB79))),
% 8.10/5.67 inference(unit_resolution,[status(thm)],[6155, 945])).
% 8.10/5.67 tff(6157,plain,
% 8.10/5.67 ((~![VarCurr: $i] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB79) <=> (v110(constB79) | v117(constB79)))),
% 8.10/5.67 inference(quant_inst,[status(thm)],[])).
% 8.10/5.67 tff(6158,plain,
% 8.10/5.67 (v109(constB79) <=> (v110(constB79) | v117(constB79))),
% 8.10/5.67 inference(unit_resolution,[status(thm)],[6157, 1056])).
% 8.10/5.67 tff(6159,plain,
% 8.10/5.67 ((~![VarCurr: $i] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB79) <=> (v111(constB79) | v116(constB79)))),
% 8.10/5.67 inference(quant_inst,[status(thm)],[])).
% 8.10/5.67 tff(6160,plain,
% 8.10/5.67 (v110(constB79) <=> (v111(constB79) | v116(constB79))),
% 8.10/5.67 inference(unit_resolution,[status(thm)],[6159, 1169])).
% 8.10/5.67 tff(6161,plain,
% 8.10/5.67 ((~![VarCurr: $i] : (v116(VarCurr) <=> (~(v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex0)))))) | (v116(constB79) <=> (~(v84(constB79, bitIndex2) | (~v84(constB79, bitIndex1)) | (~v84(constB79, bitIndex0)))))),
% 8.10/5.67 inference(quant_inst,[status(thm)],[])).
% 8.10/5.67 tff(6162,plain,
% 8.10/5.67 (v116(constB79) <=> (~(v84(constB79, bitIndex2) | (~v84(constB79, bitIndex1)) | (~v84(constB79, bitIndex0))))),
% 8.10/5.67 inference(unit_resolution,[status(thm)],[6161, 1184])).
% 8.10/5.67 tff(6163,plain,
% 8.10/5.67 (nextState(constB78, constB79) <=> nextState(constB78, constB79)),
% 8.10/5.67 inference(rewrite,[status(thm)],[])).
% 8.10/5.67 tff(6164,axiom,(nextState(constB78, constB79)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_78')).
% 8.10/5.67 tff(6165,plain,
% 8.10/5.67 (nextState(constB78, constB79)),
% 8.10/5.67 inference(modus_ponens,[status(thm)],[6164, 6163])).
% 8.10/5.67 tff(6166,plain,
% 8.10/5.67 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB78, constB79)) | (v94(constB79) <=> (~((~v104(constB79)) | (~v95(constB79))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB78, constB79)) | (v94(constB79) <=> (~((~v104(constB79)) | (~v95(constB79))))))),
% 8.10/5.67 inference(rewrite,[status(thm)],[])).
% 8.10/5.67 tff(6167,plain,
% 8.10/5.67 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB78, constB79)) | (v94(constB79) <=> (~((~v104(constB79)) | (~v95(constB79))))))),
% 8.10/5.67 inference(quant_inst,[status(thm)],[])).
% 8.10/5.67 tff(6168,plain,
% 8.10/5.67 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB78, constB79)) | (v94(constB79) <=> (~((~v104(constB79)) | (~v95(constB79)))))),
% 8.10/5.67 inference(modus_ponens,[status(thm)],[6167, 6166])).
% 8.10/5.67 tff(6169,plain,
% 8.10/5.67 (v94(constB79) <=> (~((~v104(constB79)) | (~v95(constB79))))),
% 8.10/5.67 inference(unit_resolution,[status(thm)],[6168, 6165, 775])).
% 8.10/5.67 tff(6170,plain,
% 8.10/5.67 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB78, constB79)) | (v95(constB79) <=> (~((~v1(constB79)) | (~v96(constB79))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB78, constB79)) | (v95(constB79) <=> (~((~v1(constB79)) | (~v96(constB79))))))),
% 8.10/5.68 inference(rewrite,[status(thm)],[])).
% 8.10/5.68 tff(6171,plain,
% 8.10/5.68 (((~nextState(constB78, constB79)) | (v95(constB79) <=> (~((~v96(constB79)) | (~v1(constB79)))))) <=> ((~nextState(constB78, constB79)) | (v95(constB79) <=> (~((~v1(constB79)) | (~v96(constB79))))))),
% 8.10/5.68 inference(rewrite,[status(thm)],[])).
% 8.10/5.68 tff(6172,plain,
% 8.10/5.68 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB78, constB79)) | (v95(constB79) <=> (~((~v96(constB79)) | (~v1(constB79))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB78, constB79)) | (v95(constB79) <=> (~((~v1(constB79)) | (~v96(constB79)))))))),
% 8.10/5.68 inference(monotonicity,[status(thm)],[6171])).
% 8.10/5.68 tff(6173,plain,
% 8.10/5.68 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB78, constB79)) | (v95(constB79) <=> (~((~v96(constB79)) | (~v1(constB79))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB78, constB79)) | (v95(constB79) <=> (~((~v1(constB79)) | (~v96(constB79))))))),
% 8.10/5.68 inference(transitivity,[status(thm)],[6172, 6170])).
% 8.10/5.68 tff(6174,plain,
% 8.10/5.68 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB78, constB79)) | (v95(constB79) <=> (~((~v96(constB79)) | (~v1(constB79))))))),
% 8.10/5.68 inference(quant_inst,[status(thm)],[])).
% 8.10/5.68 tff(6175,plain,
% 8.10/5.68 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB78, constB79)) | (v95(constB79) <=> (~((~v1(constB79)) | (~v96(constB79)))))),
% 8.10/5.68 inference(modus_ponens,[status(thm)],[6174, 6173])).
% 8.10/5.68 tff(6176,plain,
% 8.10/5.68 (v95(constB79) <=> (~((~v1(constB79)) | (~v96(constB79))))),
% 8.10/5.68 inference(unit_resolution,[status(thm)],[6175, 6165, 795])).
% 8.10/5.68 tff(6177,plain,
% 8.10/5.68 (((~v1(constB79)) | (~v96(constB79))) | v1(constB79)),
% 8.10/5.68 inference(tautology,[status(thm)],[])).
% 8.10/5.68 tff(6178,plain,
% 8.10/5.68 ((~v1(constB79)) | (~v96(constB79))),
% 8.10/5.68 inference(unit_resolution,[status(thm)],[6177, 6131])).
% 8.10/5.68 tff(6179,plain,
% 8.10/5.68 ((~(v95(constB79) <=> (~((~v1(constB79)) | (~v96(constB79)))))) | (~v95(constB79)) | (~((~v1(constB79)) | (~v96(constB79))))),
% 8.10/5.68 inference(tautology,[status(thm)],[])).
% 8.10/5.68 tff(6180,plain,
% 8.10/5.68 ((~(v95(constB79) <=> (~((~v1(constB79)) | (~v96(constB79)))))) | (~v95(constB79))),
% 8.10/5.68 inference(unit_resolution,[status(thm)],[6179, 6178])).
% 8.10/5.68 tff(6181,plain,
% 8.10/5.68 (~v95(constB79)),
% 8.10/5.68 inference(unit_resolution,[status(thm)],[6180, 6176])).
% 8.10/5.68 tff(6182,plain,
% 8.10/5.68 (((~v104(constB79)) | (~v95(constB79))) | v95(constB79)),
% 8.10/5.68 inference(tautology,[status(thm)],[])).
% 8.10/5.68 tff(6183,plain,
% 8.10/5.68 ((~v104(constB79)) | (~v95(constB79))),
% 8.10/5.68 inference(unit_resolution,[status(thm)],[6182, 6181])).
% 8.10/5.68 tff(6184,plain,
% 8.10/5.68 ((~(v94(constB79) <=> (~((~v104(constB79)) | (~v95(constB79)))))) | (~v94(constB79)) | (~((~v104(constB79)) | (~v95(constB79))))),
% 8.10/5.68 inference(tautology,[status(thm)],[])).
% 8.10/5.68 tff(6185,plain,
% 8.10/5.68 (~v94(constB79)),
% 8.10/5.68 inference(unit_resolution,[status(thm)],[6184, 6183, 6169])).
% 8.10/5.68 tff(6186,plain,
% 8.10/5.68 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB79) | (~nextState(constB78, constB79)) | ![B: $i] : ((~less_3(B)) | (v84(constB79, B) <=> v84(constB78, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB79) | (~nextState(constB78, constB79)) | ![B: $i] : ((~less_3(B)) | (v84(constB79, B) <=> v84(constB78, B))))),
% 8.10/5.68 inference(rewrite,[status(thm)],[])).
% 8.10/5.68 tff(6187,plain,
% 8.10/5.68 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB79) | (~nextState(constB78, constB79)) | ![B: $i] : ((~less_3(B)) | (v84(constB79, B) <=> v84(constB78, B))))),
% 8.10/5.68 inference(quant_inst,[status(thm)],[])).
% 8.10/5.68 tff(6188,plain,
% 8.10/5.68 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB79) | (~nextState(constB78, constB79)) | ![B: $i] : ((~less_3(B)) | (v84(constB79, B) <=> v84(constB78, B)))),
% 8.10/5.68 inference(modus_ponens,[status(thm)],[6187, 6186])).
% 8.10/5.68 tff(6189,plain,
% 8.10/5.68 (v94(constB79) | ![B: $i] : ((~less_3(B)) | (v84(constB79, B) <=> v84(constB78, B)))),
% 8.10/5.68 inference(unit_resolution,[status(thm)],[6188, 6165, 824])).
% 8.10/5.68 tff(6190,plain,
% 8.10/5.68 (![B: $i] : ((~less_3(B)) | (v84(constB79, B) <=> v84(constB78, B)))),
% 8.10/5.68 inference(unit_resolution,[status(thm)],[6189, 6185])).
% 8.10/5.68 tff(6191,plain,
% 8.10/5.68 (((~![B: $i] : ((~less_3(B)) | (v84(constB79, B) <=> v84(constB78, B)))) | ((~less_3(bitIndex2)) | (v84(constB79, bitIndex2) <=> v84(constB78, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB79, B) <=> v84(constB78, B)))) | (~less_3(bitIndex2)) | (v84(constB79, bitIndex2) <=> v84(constB78, bitIndex2)))),
% 8.10/5.68 inference(rewrite,[status(thm)],[])).
% 8.10/5.68 tff(6192,plain,
% 8.10/5.68 ((~![B: $i] : ((~less_3(B)) | (v84(constB79, B) <=> v84(constB78, B)))) | ((~less_3(bitIndex2)) | (v84(constB79, bitIndex2) <=> v84(constB78, bitIndex2)))),
% 8.10/5.68 inference(quant_inst,[status(thm)],[])).
% 8.10/5.68 tff(6193,plain,
% 8.10/5.68 ((~![B: $i] : ((~less_3(B)) | (v84(constB79, B) <=> v84(constB78, B)))) | (~less_3(bitIndex2)) | (v84(constB79, bitIndex2) <=> v84(constB78, bitIndex2))),
% 8.10/5.68 inference(modus_ponens,[status(thm)],[6192, 6191])).
% 8.10/5.68 tff(6194,plain,
% 8.10/5.68 (v84(constB79, bitIndex2) <=> v84(constB78, bitIndex2)),
% 8.10/5.68 inference(unit_resolution,[status(thm)],[6193, 832, 6190])).
% 8.10/5.68 tff(6195,plain,
% 8.10/5.68 (nextState(constB77, constB78) <=> nextState(constB77, constB78)),
% 8.10/5.68 inference(rewrite,[status(thm)],[])).
% 8.10/5.68 tff(6196,axiom,(nextState(constB77, constB78)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_77')).
% 8.10/5.68 tff(6197,plain,
% 8.10/5.68 (nextState(constB77, constB78)),
% 8.10/5.68 inference(modus_ponens,[status(thm)],[6196, 6195])).
% 8.10/5.68 tff(6198,plain,
% 8.10/5.68 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB77, constB78)) | (v94(constB78) <=> (~((~v104(constB78)) | (~v95(constB78))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB77, constB78)) | (v94(constB78) <=> (~((~v104(constB78)) | (~v95(constB78))))))),
% 8.10/5.68 inference(rewrite,[status(thm)],[])).
% 8.10/5.68 tff(6199,plain,
% 8.10/5.68 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB77, constB78)) | (v94(constB78) <=> (~((~v104(constB78)) | (~v95(constB78))))))),
% 8.10/5.68 inference(quant_inst,[status(thm)],[])).
% 8.10/5.68 tff(6200,plain,
% 8.10/5.68 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB77, constB78)) | (v94(constB78) <=> (~((~v104(constB78)) | (~v95(constB78)))))),
% 8.10/5.68 inference(modus_ponens,[status(thm)],[6199, 6198])).
% 8.10/5.68 tff(6201,plain,
% 8.10/5.68 (v94(constB78) <=> (~((~v104(constB78)) | (~v95(constB78))))),
% 8.10/5.68 inference(unit_resolution,[status(thm)],[6200, 6197, 775])).
% 8.10/5.68 tff(6202,plain,
% 8.10/5.68 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB77, constB78)) | (v95(constB78) <=> (~((~v1(constB78)) | (~v96(constB78))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB77, constB78)) | (v95(constB78) <=> (~((~v1(constB78)) | (~v96(constB78))))))),
% 8.10/5.68 inference(rewrite,[status(thm)],[])).
% 8.10/5.68 tff(6203,plain,
% 8.10/5.68 (((~nextState(constB77, constB78)) | (v95(constB78) <=> (~((~v96(constB78)) | (~v1(constB78)))))) <=> ((~nextState(constB77, constB78)) | (v95(constB78) <=> (~((~v1(constB78)) | (~v96(constB78))))))),
% 8.10/5.68 inference(rewrite,[status(thm)],[])).
% 8.10/5.68 tff(6204,plain,
% 8.10/5.68 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB77, constB78)) | (v95(constB78) <=> (~((~v96(constB78)) | (~v1(constB78))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB77, constB78)) | (v95(constB78) <=> (~((~v1(constB78)) | (~v96(constB78)))))))),
% 8.10/5.68 inference(monotonicity,[status(thm)],[6203])).
% 8.10/5.68 tff(6205,plain,
% 8.10/5.68 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB77, constB78)) | (v95(constB78) <=> (~((~v96(constB78)) | (~v1(constB78))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB77, constB78)) | (v95(constB78) <=> (~((~v1(constB78)) | (~v96(constB78))))))),
% 8.10/5.68 inference(transitivity,[status(thm)],[6204, 6202])).
% 8.10/5.68 tff(6206,plain,
% 8.10/5.68 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB77, constB78)) | (v95(constB78) <=> (~((~v96(constB78)) | (~v1(constB78))))))),
% 8.10/5.68 inference(quant_inst,[status(thm)],[])).
% 8.10/5.68 tff(6207,plain,
% 8.10/5.68 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB77, constB78)) | (v95(constB78) <=> (~((~v1(constB78)) | (~v96(constB78)))))),
% 8.10/5.68 inference(modus_ponens,[status(thm)],[6206, 6205])).
% 8.10/5.68 tff(6208,plain,
% 8.10/5.68 (v95(constB78) <=> (~((~v1(constB78)) | (~v96(constB78))))),
% 8.10/5.68 inference(unit_resolution,[status(thm)],[6207, 6197, 795])).
% 8.10/5.68 tff(6209,plain,
% 8.10/5.68 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB77, constB78)) | ((~v96(constB78)) <=> v98(constB78)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB77, constB78)) | ((~v96(constB78)) <=> v98(constB78)))),
% 8.10/5.68 inference(rewrite,[status(thm)],[])).
% 8.10/5.68 tff(6210,plain,
% 8.10/5.68 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB77, constB78)) | ((~v96(constB78)) <=> v98(constB78)))),
% 8.10/5.68 inference(quant_inst,[status(thm)],[])).
% 8.10/5.68 tff(6211,plain,
% 8.10/5.68 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB77, constB78)) | ((~v96(constB78)) <=> v98(constB78))),
% 8.10/5.68 inference(modus_ponens,[status(thm)],[6210, 6209])).
% 8.10/5.68 tff(6212,plain,
% 8.10/5.68 ((~v96(constB78)) <=> v98(constB78)),
% 8.10/5.68 inference(unit_resolution,[status(thm)],[6211, 6197, 860])).
% 8.10/5.68 tff(6213,plain,
% 8.10/5.68 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB77, constB78)) | (v98(constB78) <=> v1(constB77)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB77, constB78)) | (v98(constB78) <=> v1(constB77)))),
% 8.10/5.68 inference(rewrite,[status(thm)],[])).
% 8.10/5.68 tff(6214,plain,
% 8.10/5.68 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB77, constB78)) | (v98(constB78) <=> v1(constB77)))),
% 8.10/5.68 inference(quant_inst,[status(thm)],[])).
% 8.10/5.68 tff(6215,plain,
% 8.10/5.68 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB77, constB78)) | (v98(constB78) <=> v1(constB77))),
% 8.10/5.68 inference(modus_ponens,[status(thm)],[6214, 6213])).
% 8.10/5.68 tff(6216,plain,
% 8.10/5.68 (v98(constB78) <=> v1(constB77)),
% 8.10/5.68 inference(unit_resolution,[status(thm)],[6215, 6197, 874])).
% 8.10/5.68 tff(6217,plain,
% 8.10/5.68 ((~v1(constB77)) <=> (~v1(constB77))),
% 8.10/5.68 inference(rewrite,[status(thm)],[])).
% 8.10/5.68 tff(6218,axiom,(~v1(constB77)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_77')).
% 8.10/5.68 tff(6219,plain,
% 8.10/5.68 (~v1(constB77)),
% 8.10/5.68 inference(modus_ponens,[status(thm)],[6218, 6217])).
% 8.10/5.68 tff(6220,plain,
% 8.10/5.68 ((~(v98(constB78) <=> v1(constB77))) | (~v98(constB78)) | v1(constB77)),
% 8.10/5.68 inference(tautology,[status(thm)],[])).
% 8.10/5.68 tff(6221,plain,
% 8.10/5.68 ((~(v98(constB78) <=> v1(constB77))) | (~v98(constB78))),
% 8.10/5.68 inference(unit_resolution,[status(thm)],[6220, 6219])).
% 8.10/5.68 tff(6222,plain,
% 8.10/5.68 (~v98(constB78)),
% 8.10/5.68 inference(unit_resolution,[status(thm)],[6221, 6216])).
% 8.10/5.68 tff(6223,plain,
% 8.10/5.68 ((~((~v96(constB78)) <=> v98(constB78))) | v96(constB78) | v98(constB78)),
% 8.10/5.68 inference(tautology,[status(thm)],[])).
% 8.10/5.68 tff(6224,plain,
% 8.10/5.68 (v96(constB78)),
% 8.10/5.68 inference(unit_resolution,[status(thm)],[6223, 6222, 6212])).
% 8.10/5.68 tff(6225,plain,
% 8.10/5.68 (v1(constB78) <=> v1(constB78)),
% 8.10/5.68 inference(rewrite,[status(thm)],[])).
% 8.10/5.68 tff(6226,axiom,(v1(constB78)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_78')).
% 8.10/5.68 tff(6227,plain,
% 8.10/5.68 (v1(constB78)),
% 8.10/5.68 inference(modus_ponens,[status(thm)],[6226, 6225])).
% 8.10/5.68 tff(6228,plain,
% 8.10/5.68 ((~((~v1(constB78)) | (~v96(constB78)))) | (~v1(constB78)) | (~v96(constB78))),
% 8.10/5.68 inference(tautology,[status(thm)],[])).
% 8.10/5.68 tff(6229,plain,
% 8.10/5.68 ((~((~v1(constB78)) | (~v96(constB78)))) | (~v96(constB78))),
% 8.10/5.68 inference(unit_resolution,[status(thm)],[6228, 6227])).
% 8.10/5.68 tff(6230,plain,
% 8.10/5.68 (~((~v1(constB78)) | (~v96(constB78)))),
% 8.10/5.68 inference(unit_resolution,[status(thm)],[6229, 6224])).
% 8.10/5.68 tff(6231,plain,
% 8.10/5.68 ((~(v95(constB78) <=> (~((~v1(constB78)) | (~v96(constB78)))))) | v95(constB78) | ((~v1(constB78)) | (~v96(constB78)))),
% 8.10/5.68 inference(tautology,[status(thm)],[])).
% 8.10/5.68 tff(6232,plain,
% 8.10/5.68 (v95(constB78)),
% 8.10/5.68 inference(unit_resolution,[status(thm)],[6231, 6230, 6208])).
% 8.10/5.68 tff(6233,plain,
% 8.10/5.68 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB77, constB78)) | (v104(constB78) <=> v102(constB77)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB77, constB78)) | (v104(constB78) <=> v102(constB77)))),
% 8.10/5.68 inference(rewrite,[status(thm)],[])).
% 8.10/5.68 tff(6234,plain,
% 8.10/5.68 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB77, constB78)) | (v104(constB78) <=> v102(constB77)))),
% 8.10/5.68 inference(quant_inst,[status(thm)],[])).
% 8.10/5.68 tff(6235,plain,
% 8.10/5.68 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB77, constB78)) | (v104(constB78) <=> v102(constB77))),
% 8.10/5.68 inference(modus_ponens,[status(thm)],[6234, 6233])).
% 8.10/5.68 tff(6236,plain,
% 8.10/5.68 (v104(constB78) <=> v102(constB77)),
% 8.10/5.68 inference(unit_resolution,[status(thm)],[6235, 6197, 904])).
% 8.10/5.68 tff(6237,plain,
% 8.10/5.68 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB77) <=> (v105(constB77) | v106(constB77)))),
% 8.10/5.68 inference(quant_inst,[status(thm)],[])).
% 8.10/5.68 tff(6238,plain,
% 8.10/5.68 (v102(constB77) <=> (v105(constB77) | v106(constB77))),
% 8.10/5.68 inference(unit_resolution,[status(thm)],[6237, 915])).
% 8.10/5.68 tff(6239,plain,
% 8.10/5.68 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB77) <=> (~((~v107(constB77)) | (~v120(constB77)))))),
% 8.10/5.68 inference(quant_inst,[status(thm)],[])).
% 8.10/5.68 tff(6240,plain,
% 8.10/5.68 (v106(constB77) <=> (~((~v107(constB77)) | (~v120(constB77))))),
% 8.10/5.68 inference(unit_resolution,[status(thm)],[6239, 927])).
% 8.10/5.68 tff(6241,plain,
% 8.10/5.68 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB77) <=> (v108(constB77) | v119(constB77)))),
% 8.10/5.68 inference(quant_inst,[status(thm)],[])).
% 8.10/5.68 tff(6242,plain,
% 8.10/5.68 (v107(constB77) <=> (v108(constB77) | v119(constB77))),
% 8.10/5.68 inference(unit_resolution,[status(thm)],[6241, 936])).
% 8.10/5.68 tff(6243,plain,
% 8.10/5.68 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB77) <=> (v109(constB77) | v118(constB77)))),
% 8.10/5.68 inference(quant_inst,[status(thm)],[])).
% 8.10/5.68 tff(6244,plain,
% 8.10/5.68 (v108(constB77) <=> (v109(constB77) | v118(constB77))),
% 8.10/5.68 inference(unit_resolution,[status(thm)],[6243, 945])).
% 8.10/5.68 tff(6245,plain,
% 8.10/5.68 ((~![VarCurr: $i] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB77) <=> (v110(constB77) | v117(constB77)))),
% 8.10/5.68 inference(quant_inst,[status(thm)],[])).
% 8.10/5.68 tff(6246,plain,
% 8.10/5.68 (v109(constB77) <=> (v110(constB77) | v117(constB77))),
% 8.10/5.68 inference(unit_resolution,[status(thm)],[6245, 1056])).
% 8.10/5.68 tff(6247,plain,
% 8.10/5.68 ((~![VarCurr: $i] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB77) <=> (v111(constB77) | v116(constB77)))),
% 8.10/5.68 inference(quant_inst,[status(thm)],[])).
% 8.10/5.68 tff(6248,plain,
% 8.10/5.68 (v110(constB77) <=> (v111(constB77) | v116(constB77))),
% 8.10/5.68 inference(unit_resolution,[status(thm)],[6247, 1169])).
% 8.10/5.68 tff(6249,plain,
% 8.10/5.68 ((~![VarCurr: $i] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB77) <=> (v112(constB77) | v115(constB77)))),
% 8.10/5.68 inference(quant_inst,[status(thm)],[])).
% 8.10/5.68 tff(6250,plain,
% 8.10/5.68 (v111(constB77) <=> (v112(constB77) | v115(constB77))),
% 8.10/5.68 inference(unit_resolution,[status(thm)],[6249, 1279])).
% 8.10/5.68 tff(6251,plain,
% 8.10/5.68 (((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB77) <=> (~(v84(constB77, bitIndex2) | (~v84(constB77, bitIndex1)) | v84(constB77, bitIndex0))))) <=> ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB77) <=> (~(v84(constB77, bitIndex2) | (~v84(constB77, bitIndex1)) | v84(constB77, bitIndex0)))))),
% 8.10/5.68 inference(rewrite,[status(thm)],[])).
% 8.10/5.68 tff(6252,plain,
% 8.10/5.68 ((v115(constB77) <=> (~(v84(constB77, bitIndex0) | v84(constB77, bitIndex2) | (~v84(constB77, bitIndex1))))) <=> (v115(constB77) <=> (~(v84(constB77, bitIndex2) | (~v84(constB77, bitIndex1)) | v84(constB77, bitIndex0))))),
% 8.10/5.68 inference(rewrite,[status(thm)],[])).
% 8.10/5.68 tff(6253,plain,
% 8.10/5.68 (((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB77) <=> (~(v84(constB77, bitIndex0) | v84(constB77, bitIndex2) | (~v84(constB77, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB77) <=> (~(v84(constB77, bitIndex2) | (~v84(constB77, bitIndex1)) | v84(constB77, bitIndex0)))))),
% 8.10/5.68 inference(monotonicity,[status(thm)],[6252])).
% 8.10/5.68 tff(6254,plain,
% 8.10/5.68 (((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB77) <=> (~(v84(constB77, bitIndex0) | v84(constB77, bitIndex2) | (~v84(constB77, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB77) <=> (~(v84(constB77, bitIndex2) | (~v84(constB77, bitIndex1)) | v84(constB77, bitIndex0)))))),
% 8.10/5.68 inference(transitivity,[status(thm)],[6253, 6251])).
% 8.10/5.68 tff(6255,plain,
% 8.10/5.68 ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB77) <=> (~(v84(constB77, bitIndex0) | v84(constB77, bitIndex2) | (~v84(constB77, bitIndex1)))))),
% 8.10/5.68 inference(quant_inst,[status(thm)],[])).
% 8.10/5.68 tff(6256,plain,
% 8.10/5.68 ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB77) <=> (~(v84(constB77, bitIndex2) | (~v84(constB77, bitIndex1)) | v84(constB77, bitIndex0))))),
% 8.10/5.68 inference(modus_ponens,[status(thm)],[6255, 6254])).
% 8.10/5.68 tff(6257,plain,
% 8.10/5.68 (v115(constB77) <=> (~(v84(constB77, bitIndex2) | (~v84(constB77, bitIndex1)) | v84(constB77, bitIndex0)))),
% 8.10/5.68 inference(unit_resolution,[status(thm)],[6256, 1294])).
% 8.10/5.68 tff(6258,plain,
% 8.10/5.68 (nextState(constB76, constB77) <=> nextState(constB76, constB77)),
% 8.10/5.68 inference(rewrite,[status(thm)],[])).
% 8.10/5.68 tff(6259,axiom,(nextState(constB76, constB77)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_76')).
% 8.10/5.68 tff(6260,plain,
% 8.10/5.68 (nextState(constB76, constB77)),
% 8.10/5.68 inference(modus_ponens,[status(thm)],[6259, 6258])).
% 8.10/5.68 tff(6261,plain,
% 8.10/5.68 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB76, constB77)) | (v94(constB77) <=> (~((~v104(constB77)) | (~v95(constB77))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB76, constB77)) | (v94(constB77) <=> (~((~v104(constB77)) | (~v95(constB77))))))),
% 8.10/5.68 inference(rewrite,[status(thm)],[])).
% 8.10/5.68 tff(6262,plain,
% 8.10/5.68 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB76, constB77)) | (v94(constB77) <=> (~((~v104(constB77)) | (~v95(constB77))))))),
% 8.10/5.68 inference(quant_inst,[status(thm)],[])).
% 8.10/5.68 tff(6263,plain,
% 8.10/5.68 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB76, constB77)) | (v94(constB77) <=> (~((~v104(constB77)) | (~v95(constB77)))))),
% 8.10/5.68 inference(modus_ponens,[status(thm)],[6262, 6261])).
% 8.10/5.68 tff(6264,plain,
% 8.10/5.68 (v94(constB77) <=> (~((~v104(constB77)) | (~v95(constB77))))),
% 8.10/5.68 inference(unit_resolution,[status(thm)],[6263, 6260, 775])).
% 8.10/5.68 tff(6265,plain,
% 8.10/5.68 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB76, constB77)) | (v95(constB77) <=> (~((~v1(constB77)) | (~v96(constB77))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB76, constB77)) | (v95(constB77) <=> (~((~v1(constB77)) | (~v96(constB77))))))),
% 8.10/5.68 inference(rewrite,[status(thm)],[])).
% 8.10/5.68 tff(6266,plain,
% 8.10/5.68 (((~nextState(constB76, constB77)) | (v95(constB77) <=> (~((~v96(constB77)) | (~v1(constB77)))))) <=> ((~nextState(constB76, constB77)) | (v95(constB77) <=> (~((~v1(constB77)) | (~v96(constB77))))))),
% 8.10/5.68 inference(rewrite,[status(thm)],[])).
% 8.10/5.68 tff(6267,plain,
% 8.10/5.68 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB76, constB77)) | (v95(constB77) <=> (~((~v96(constB77)) | (~v1(constB77))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB76, constB77)) | (v95(constB77) <=> (~((~v1(constB77)) | (~v96(constB77)))))))),
% 8.10/5.68 inference(monotonicity,[status(thm)],[6266])).
% 8.10/5.68 tff(6268,plain,
% 8.10/5.68 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB76, constB77)) | (v95(constB77) <=> (~((~v96(constB77)) | (~v1(constB77))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB76, constB77)) | (v95(constB77) <=> (~((~v1(constB77)) | (~v96(constB77))))))),
% 8.10/5.68 inference(transitivity,[status(thm)],[6267, 6265])).
% 8.10/5.68 tff(6269,plain,
% 8.10/5.68 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB76, constB77)) | (v95(constB77) <=> (~((~v96(constB77)) | (~v1(constB77))))))),
% 8.10/5.68 inference(quant_inst,[status(thm)],[])).
% 8.10/5.68 tff(6270,plain,
% 8.10/5.68 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB76, constB77)) | (v95(constB77) <=> (~((~v1(constB77)) | (~v96(constB77)))))),
% 8.10/5.68 inference(modus_ponens,[status(thm)],[6269, 6268])).
% 8.10/5.68 tff(6271,plain,
% 8.10/5.68 (v95(constB77) <=> (~((~v1(constB77)) | (~v96(constB77))))),
% 8.10/5.68 inference(unit_resolution,[status(thm)],[6270, 6260, 795])).
% 8.10/5.68 tff(6272,plain,
% 8.10/5.68 (((~v1(constB77)) | (~v96(constB77))) | v1(constB77)),
% 8.10/5.68 inference(tautology,[status(thm)],[])).
% 8.10/5.68 tff(6273,plain,
% 8.10/5.68 ((~v1(constB77)) | (~v96(constB77))),
% 8.10/5.68 inference(unit_resolution,[status(thm)],[6272, 6219])).
% 8.10/5.68 tff(6274,plain,
% 8.10/5.68 ((~(v95(constB77) <=> (~((~v1(constB77)) | (~v96(constB77)))))) | (~v95(constB77)) | (~((~v1(constB77)) | (~v96(constB77))))),
% 8.10/5.68 inference(tautology,[status(thm)],[])).
% 8.10/5.68 tff(6275,plain,
% 8.10/5.68 ((~(v95(constB77) <=> (~((~v1(constB77)) | (~v96(constB77)))))) | (~v95(constB77))),
% 8.10/5.68 inference(unit_resolution,[status(thm)],[6274, 6273])).
% 8.10/5.68 tff(6276,plain,
% 8.10/5.68 (~v95(constB77)),
% 8.10/5.68 inference(unit_resolution,[status(thm)],[6275, 6271])).
% 8.10/5.68 tff(6277,plain,
% 8.10/5.68 (((~v104(constB77)) | (~v95(constB77))) | v95(constB77)),
% 8.10/5.68 inference(tautology,[status(thm)],[])).
% 8.10/5.68 tff(6278,plain,
% 8.10/5.68 ((~v104(constB77)) | (~v95(constB77))),
% 8.10/5.68 inference(unit_resolution,[status(thm)],[6277, 6276])).
% 8.10/5.68 tff(6279,plain,
% 8.10/5.68 ((~(v94(constB77) <=> (~((~v104(constB77)) | (~v95(constB77)))))) | (~v94(constB77)) | (~((~v104(constB77)) | (~v95(constB77))))),
% 8.10/5.68 inference(tautology,[status(thm)],[])).
% 8.10/5.68 tff(6280,plain,
% 8.10/5.68 (~v94(constB77)),
% 8.10/5.68 inference(unit_resolution,[status(thm)],[6279, 6278, 6264])).
% 8.10/5.68 tff(6281,plain,
% 8.10/5.68 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB77) | (~nextState(constB76, constB77)) | ![B: $i] : ((~less_3(B)) | (v84(constB77, B) <=> v84(constB76, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB77) | (~nextState(constB76, constB77)) | ![B: $i] : ((~less_3(B)) | (v84(constB77, B) <=> v84(constB76, B))))),
% 8.10/5.68 inference(rewrite,[status(thm)],[])).
% 8.10/5.68 tff(6282,plain,
% 8.10/5.68 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB77) | (~nextState(constB76, constB77)) | ![B: $i] : ((~less_3(B)) | (v84(constB77, B) <=> v84(constB76, B))))),
% 8.10/5.68 inference(quant_inst,[status(thm)],[])).
% 8.10/5.68 tff(6283,plain,
% 8.10/5.68 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB77) | (~nextState(constB76, constB77)) | ![B: $i] : ((~less_3(B)) | (v84(constB77, B) <=> v84(constB76, B)))),
% 8.10/5.68 inference(modus_ponens,[status(thm)],[6282, 6281])).
% 8.10/5.68 tff(6284,plain,
% 8.10/5.68 (v94(constB77) | ![B: $i] : ((~less_3(B)) | (v84(constB77, B) <=> v84(constB76, B)))),
% 8.10/5.68 inference(unit_resolution,[status(thm)],[6283, 6260, 824])).
% 8.10/5.68 tff(6285,plain,
% 8.10/5.68 (![B: $i] : ((~less_3(B)) | (v84(constB77, B) <=> v84(constB76, B)))),
% 8.10/5.68 inference(unit_resolution,[status(thm)],[6284, 6280])).
% 8.10/5.68 tff(6286,plain,
% 8.10/5.68 (((~![B: $i] : ((~less_3(B)) | (v84(constB77, B) <=> v84(constB76, B)))) | ((~less_3(bitIndex2)) | (v84(constB77, bitIndex2) <=> v84(constB76, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB77, B) <=> v84(constB76, B)))) | (~less_3(bitIndex2)) | (v84(constB77, bitIndex2) <=> v84(constB76, bitIndex2)))),
% 8.10/5.68 inference(rewrite,[status(thm)],[])).
% 8.10/5.68 tff(6287,plain,
% 8.10/5.68 ((~![B: $i] : ((~less_3(B)) | (v84(constB77, B) <=> v84(constB76, B)))) | ((~less_3(bitIndex2)) | (v84(constB77, bitIndex2) <=> v84(constB76, bitIndex2)))),
% 8.10/5.68 inference(quant_inst,[status(thm)],[])).
% 8.10/5.68 tff(6288,plain,
% 8.10/5.68 ((~![B: $i] : ((~less_3(B)) | (v84(constB77, B) <=> v84(constB76, B)))) | (~less_3(bitIndex2)) | (v84(constB77, bitIndex2) <=> v84(constB76, bitIndex2))),
% 8.10/5.68 inference(modus_ponens,[status(thm)],[6287, 6286])).
% 8.10/5.68 tff(6289,plain,
% 8.10/5.68 (v84(constB77, bitIndex2) <=> v84(constB76, bitIndex2)),
% 8.10/5.68 inference(unit_resolution,[status(thm)],[6288, 832, 6285])).
% 8.10/5.68 tff(6290,plain,
% 8.10/5.68 (nextState(constB75, constB76) <=> nextState(constB75, constB76)),
% 8.10/5.68 inference(rewrite,[status(thm)],[])).
% 8.10/5.68 tff(6291,axiom,(nextState(constB75, constB76)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_75')).
% 8.10/5.68 tff(6292,plain,
% 8.10/5.68 (nextState(constB75, constB76)),
% 8.10/5.68 inference(modus_ponens,[status(thm)],[6291, 6290])).
% 8.10/5.68 tff(6293,plain,
% 8.10/5.68 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB75, constB76)) | (v94(constB76) <=> (~((~v104(constB76)) | (~v95(constB76))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB75, constB76)) | (v94(constB76) <=> (~((~v104(constB76)) | (~v95(constB76))))))),
% 8.10/5.68 inference(rewrite,[status(thm)],[])).
% 8.10/5.68 tff(6294,plain,
% 8.10/5.68 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB75, constB76)) | (v94(constB76) <=> (~((~v104(constB76)) | (~v95(constB76))))))),
% 8.10/5.68 inference(quant_inst,[status(thm)],[])).
% 8.10/5.68 tff(6295,plain,
% 8.10/5.68 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB75, constB76)) | (v94(constB76) <=> (~((~v104(constB76)) | (~v95(constB76)))))),
% 8.10/5.68 inference(modus_ponens,[status(thm)],[6294, 6293])).
% 8.10/5.68 tff(6296,plain,
% 8.10/5.68 (v94(constB76) <=> (~((~v104(constB76)) | (~v95(constB76))))),
% 8.10/5.68 inference(unit_resolution,[status(thm)],[6295, 6292, 775])).
% 8.10/5.68 tff(6297,plain,
% 8.10/5.68 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB75, constB76)) | (v95(constB76) <=> (~((~v1(constB76)) | (~v96(constB76))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB75, constB76)) | (v95(constB76) <=> (~((~v1(constB76)) | (~v96(constB76))))))),
% 8.10/5.68 inference(rewrite,[status(thm)],[])).
% 8.10/5.68 tff(6298,plain,
% 8.10/5.68 (((~nextState(constB75, constB76)) | (v95(constB76) <=> (~((~v96(constB76)) | (~v1(constB76)))))) <=> ((~nextState(constB75, constB76)) | (v95(constB76) <=> (~((~v1(constB76)) | (~v96(constB76))))))),
% 8.10/5.68 inference(rewrite,[status(thm)],[])).
% 8.10/5.68 tff(6299,plain,
% 8.10/5.68 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB75, constB76)) | (v95(constB76) <=> (~((~v96(constB76)) | (~v1(constB76))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB75, constB76)) | (v95(constB76) <=> (~((~v1(constB76)) | (~v96(constB76)))))))),
% 8.10/5.68 inference(monotonicity,[status(thm)],[6298])).
% 8.10/5.68 tff(6300,plain,
% 8.10/5.68 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB75, constB76)) | (v95(constB76) <=> (~((~v96(constB76)) | (~v1(constB76))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB75, constB76)) | (v95(constB76) <=> (~((~v1(constB76)) | (~v96(constB76))))))),
% 8.10/5.68 inference(transitivity,[status(thm)],[6299, 6297])).
% 8.10/5.68 tff(6301,plain,
% 8.10/5.68 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB75, constB76)) | (v95(constB76) <=> (~((~v96(constB76)) | (~v1(constB76))))))),
% 8.10/5.68 inference(quant_inst,[status(thm)],[])).
% 8.10/5.68 tff(6302,plain,
% 8.10/5.68 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB75, constB76)) | (v95(constB76) <=> (~((~v1(constB76)) | (~v96(constB76)))))),
% 8.10/5.68 inference(modus_ponens,[status(thm)],[6301, 6300])).
% 8.10/5.68 tff(6303,plain,
% 8.10/5.68 (v95(constB76) <=> (~((~v1(constB76)) | (~v96(constB76))))),
% 8.10/5.68 inference(unit_resolution,[status(thm)],[6302, 6292, 795])).
% 8.10/5.68 tff(6304,plain,
% 8.10/5.68 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB75, constB76)) | ((~v96(constB76)) <=> v98(constB76)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB75, constB76)) | ((~v96(constB76)) <=> v98(constB76)))),
% 8.10/5.68 inference(rewrite,[status(thm)],[])).
% 8.10/5.68 tff(6305,plain,
% 8.10/5.68 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB75, constB76)) | ((~v96(constB76)) <=> v98(constB76)))),
% 8.10/5.68 inference(quant_inst,[status(thm)],[])).
% 8.10/5.68 tff(6306,plain,
% 8.10/5.68 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB75, constB76)) | ((~v96(constB76)) <=> v98(constB76))),
% 8.10/5.68 inference(modus_ponens,[status(thm)],[6305, 6304])).
% 8.10/5.68 tff(6307,plain,
% 8.10/5.68 ((~v96(constB76)) <=> v98(constB76)),
% 8.10/5.68 inference(unit_resolution,[status(thm)],[6306, 6292, 860])).
% 8.10/5.68 tff(6308,plain,
% 8.10/5.68 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB75, constB76)) | (v98(constB76) <=> v1(constB75)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB75, constB76)) | (v98(constB76) <=> v1(constB75)))),
% 8.10/5.68 inference(rewrite,[status(thm)],[])).
% 8.10/5.68 tff(6309,plain,
% 8.10/5.68 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB75, constB76)) | (v98(constB76) <=> v1(constB75)))),
% 8.10/5.68 inference(quant_inst,[status(thm)],[])).
% 8.10/5.68 tff(6310,plain,
% 8.10/5.68 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB75, constB76)) | (v98(constB76) <=> v1(constB75))),
% 8.10/5.68 inference(modus_ponens,[status(thm)],[6309, 6308])).
% 8.10/5.68 tff(6311,plain,
% 8.10/5.68 (v98(constB76) <=> v1(constB75)),
% 8.10/5.68 inference(unit_resolution,[status(thm)],[6310, 6292, 874])).
% 8.10/5.68 tff(6312,plain,
% 8.10/5.68 ((~v1(constB75)) <=> (~v1(constB75))),
% 8.10/5.68 inference(rewrite,[status(thm)],[])).
% 8.10/5.68 tff(6313,axiom,(~v1(constB75)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_75')).
% 8.10/5.68 tff(6314,plain,
% 8.10/5.68 (~v1(constB75)),
% 8.10/5.68 inference(modus_ponens,[status(thm)],[6313, 6312])).
% 8.10/5.68 tff(6315,plain,
% 8.10/5.68 ((~(v98(constB76) <=> v1(constB75))) | (~v98(constB76)) | v1(constB75)),
% 8.10/5.68 inference(tautology,[status(thm)],[])).
% 8.10/5.68 tff(6316,plain,
% 8.10/5.68 ((~(v98(constB76) <=> v1(constB75))) | (~v98(constB76))),
% 8.10/5.68 inference(unit_resolution,[status(thm)],[6315, 6314])).
% 8.10/5.68 tff(6317,plain,
% 8.10/5.68 (~v98(constB76)),
% 8.10/5.68 inference(unit_resolution,[status(thm)],[6316, 6311])).
% 8.10/5.68 tff(6318,plain,
% 8.10/5.68 ((~((~v96(constB76)) <=> v98(constB76))) | v96(constB76) | v98(constB76)),
% 8.10/5.68 inference(tautology,[status(thm)],[])).
% 8.10/5.68 tff(6319,plain,
% 8.10/5.68 (v96(constB76)),
% 8.10/5.68 inference(unit_resolution,[status(thm)],[6318, 6317, 6307])).
% 8.10/5.68 tff(6320,plain,
% 8.10/5.68 (v1(constB76) <=> v1(constB76)),
% 8.10/5.68 inference(rewrite,[status(thm)],[])).
% 8.10/5.68 tff(6321,axiom,(v1(constB76)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_76')).
% 8.10/5.69 tff(6322,plain,
% 8.10/5.69 (v1(constB76)),
% 8.10/5.69 inference(modus_ponens,[status(thm)],[6321, 6320])).
% 8.10/5.69 tff(6323,plain,
% 8.10/5.69 ((~((~v1(constB76)) | (~v96(constB76)))) | (~v1(constB76)) | (~v96(constB76))),
% 8.10/5.69 inference(tautology,[status(thm)],[])).
% 8.10/5.69 tff(6324,plain,
% 8.10/5.69 ((~((~v1(constB76)) | (~v96(constB76)))) | (~v96(constB76))),
% 8.10/5.69 inference(unit_resolution,[status(thm)],[6323, 6322])).
% 8.10/5.69 tff(6325,plain,
% 8.10/5.69 (~((~v1(constB76)) | (~v96(constB76)))),
% 8.10/5.69 inference(unit_resolution,[status(thm)],[6324, 6319])).
% 8.10/5.69 tff(6326,plain,
% 8.10/5.69 ((~(v95(constB76) <=> (~((~v1(constB76)) | (~v96(constB76)))))) | v95(constB76) | ((~v1(constB76)) | (~v96(constB76)))),
% 8.10/5.69 inference(tautology,[status(thm)],[])).
% 8.10/5.69 tff(6327,plain,
% 8.10/5.69 (v95(constB76)),
% 8.10/5.69 inference(unit_resolution,[status(thm)],[6326, 6325, 6303])).
% 8.10/5.69 tff(6328,plain,
% 8.10/5.69 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB75, constB76)) | (v104(constB76) <=> v102(constB75)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB75, constB76)) | (v104(constB76) <=> v102(constB75)))),
% 8.10/5.69 inference(rewrite,[status(thm)],[])).
% 8.10/5.69 tff(6329,plain,
% 8.10/5.69 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB75, constB76)) | (v104(constB76) <=> v102(constB75)))),
% 8.10/5.69 inference(quant_inst,[status(thm)],[])).
% 8.10/5.69 tff(6330,plain,
% 8.10/5.69 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB75, constB76)) | (v104(constB76) <=> v102(constB75))),
% 8.10/5.69 inference(modus_ponens,[status(thm)],[6329, 6328])).
% 8.10/5.69 tff(6331,plain,
% 8.10/5.69 (v104(constB76) <=> v102(constB75)),
% 8.10/5.69 inference(unit_resolution,[status(thm)],[6330, 6292, 904])).
% 8.10/5.69 tff(6332,plain,
% 8.10/5.69 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB75) <=> (v105(constB75) | v106(constB75)))),
% 8.10/5.69 inference(quant_inst,[status(thm)],[])).
% 8.10/5.69 tff(6333,plain,
% 8.10/5.69 (v102(constB75) <=> (v105(constB75) | v106(constB75))),
% 8.10/5.69 inference(unit_resolution,[status(thm)],[6332, 915])).
% 8.10/5.69 tff(6334,plain,
% 8.10/5.69 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB75) <=> (~((~v107(constB75)) | (~v120(constB75)))))),
% 8.10/5.69 inference(quant_inst,[status(thm)],[])).
% 8.10/5.69 tff(6335,plain,
% 8.10/5.69 (v106(constB75) <=> (~((~v107(constB75)) | (~v120(constB75))))),
% 8.10/5.69 inference(unit_resolution,[status(thm)],[6334, 927])).
% 8.10/5.69 tff(6336,plain,
% 8.10/5.69 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB75) <=> (v108(constB75) | v119(constB75)))),
% 8.10/5.69 inference(quant_inst,[status(thm)],[])).
% 8.10/5.69 tff(6337,plain,
% 8.10/5.69 (v107(constB75) <=> (v108(constB75) | v119(constB75))),
% 8.10/5.69 inference(unit_resolution,[status(thm)],[6336, 936])).
% 8.10/5.69 tff(6338,plain,
% 8.10/5.69 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB75) <=> (v109(constB75) | v118(constB75)))),
% 8.10/5.69 inference(quant_inst,[status(thm)],[])).
% 8.10/5.69 tff(6339,plain,
% 8.10/5.69 (v108(constB75) <=> (v109(constB75) | v118(constB75))),
% 8.10/5.69 inference(unit_resolution,[status(thm)],[6338, 945])).
% 8.10/5.69 tff(6340,plain,
% 8.10/5.69 ((~![VarCurr: $i] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB75) <=> (v110(constB75) | v117(constB75)))),
% 8.10/5.69 inference(quant_inst,[status(thm)],[])).
% 8.10/5.69 tff(6341,plain,
% 8.10/5.69 (v109(constB75) <=> (v110(constB75) | v117(constB75))),
% 8.10/5.69 inference(unit_resolution,[status(thm)],[6340, 1056])).
% 8.10/5.69 tff(6342,plain,
% 8.10/5.69 ((~![VarCurr: $i] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB75) <=> (v111(constB75) | v116(constB75)))),
% 8.10/5.69 inference(quant_inst,[status(thm)],[])).
% 8.10/5.69 tff(6343,plain,
% 8.10/5.69 (v110(constB75) <=> (v111(constB75) | v116(constB75))),
% 8.10/5.69 inference(unit_resolution,[status(thm)],[6342, 1169])).
% 8.10/5.69 tff(6344,plain,
% 8.10/5.69 ((~![VarCurr: $i] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB75) <=> (v112(constB75) | v115(constB75)))),
% 8.10/5.69 inference(quant_inst,[status(thm)],[])).
% 8.10/5.69 tff(6345,plain,
% 8.10/5.69 (v111(constB75) <=> (v112(constB75) | v115(constB75))),
% 8.10/5.69 inference(unit_resolution,[status(thm)],[6344, 1279])).
% 8.10/5.69 tff(6346,plain,
% 8.10/5.69 ((~![VarCurr: $i] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))) | (v112(constB75) <=> (v113(constB75) | v114(constB75)))),
% 8.10/5.69 inference(quant_inst,[status(thm)],[])).
% 8.10/5.69 tff(6347,plain,
% 8.10/5.69 (v112(constB75) <=> (v113(constB75) | v114(constB75))),
% 8.10/5.69 inference(unit_resolution,[status(thm)],[6346, 1396])).
% 8.10/5.69 tff(6348,plain,
% 8.10/5.69 (((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB75) <=> (~(v84(constB75, bitIndex2) | v84(constB75, bitIndex1) | (~v84(constB75, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB75) <=> (~(v84(constB75, bitIndex2) | v84(constB75, bitIndex1) | (~v84(constB75, bitIndex0))))))),
% 8.17/5.69 inference(rewrite,[status(thm)],[])).
% 8.17/5.69 tff(6349,plain,
% 8.17/5.69 ((v114(constB75) <=> (~(v84(constB75, bitIndex1) | v84(constB75, bitIndex2) | (~v84(constB75, bitIndex0))))) <=> (v114(constB75) <=> (~(v84(constB75, bitIndex2) | v84(constB75, bitIndex1) | (~v84(constB75, bitIndex0)))))),
% 8.17/5.69 inference(rewrite,[status(thm)],[])).
% 8.17/5.69 tff(6350,plain,
% 8.17/5.69 (((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB75) <=> (~(v84(constB75, bitIndex1) | v84(constB75, bitIndex2) | (~v84(constB75, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB75) <=> (~(v84(constB75, bitIndex2) | v84(constB75, bitIndex1) | (~v84(constB75, bitIndex0))))))),
% 8.17/5.69 inference(monotonicity,[status(thm)],[6349])).
% 8.17/5.69 tff(6351,plain,
% 8.17/5.69 (((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB75) <=> (~(v84(constB75, bitIndex1) | v84(constB75, bitIndex2) | (~v84(constB75, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB75) <=> (~(v84(constB75, bitIndex2) | v84(constB75, bitIndex1) | (~v84(constB75, bitIndex0))))))),
% 8.17/5.69 inference(transitivity,[status(thm)],[6350, 6348])).
% 8.17/5.69 tff(6352,plain,
% 8.17/5.69 ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB75) <=> (~(v84(constB75, bitIndex1) | v84(constB75, bitIndex2) | (~v84(constB75, bitIndex0)))))),
% 8.17/5.69 inference(quant_inst,[status(thm)],[])).
% 8.17/5.69 tff(6353,plain,
% 8.17/5.69 ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB75) <=> (~(v84(constB75, bitIndex2) | v84(constB75, bitIndex1) | (~v84(constB75, bitIndex0)))))),
% 8.17/5.69 inference(modus_ponens,[status(thm)],[6352, 6351])).
% 8.17/5.69 tff(6354,plain,
% 8.17/5.69 (v114(constB75) <=> (~(v84(constB75, bitIndex2) | v84(constB75, bitIndex1) | (~v84(constB75, bitIndex0))))),
% 8.17/5.69 inference(unit_resolution,[status(thm)],[6353, 1411])).
% 8.17/5.69 tff(6355,plain,
% 8.17/5.69 (nextState(constB74, constB75) <=> nextState(constB74, constB75)),
% 8.17/5.69 inference(rewrite,[status(thm)],[])).
% 8.17/5.69 tff(6356,axiom,(nextState(constB74, constB75)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_74')).
% 8.17/5.69 tff(6357,plain,
% 8.17/5.69 (nextState(constB74, constB75)),
% 8.17/5.69 inference(modus_ponens,[status(thm)],[6356, 6355])).
% 8.17/5.69 tff(6358,plain,
% 8.17/5.69 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB74, constB75)) | (v94(constB75) <=> (~((~v104(constB75)) | (~v95(constB75))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB74, constB75)) | (v94(constB75) <=> (~((~v104(constB75)) | (~v95(constB75))))))),
% 8.17/5.69 inference(rewrite,[status(thm)],[])).
% 8.17/5.69 tff(6359,plain,
% 8.17/5.69 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB74, constB75)) | (v94(constB75) <=> (~((~v104(constB75)) | (~v95(constB75))))))),
% 8.17/5.69 inference(quant_inst,[status(thm)],[])).
% 8.17/5.69 tff(6360,plain,
% 8.17/5.69 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB74, constB75)) | (v94(constB75) <=> (~((~v104(constB75)) | (~v95(constB75)))))),
% 8.17/5.69 inference(modus_ponens,[status(thm)],[6359, 6358])).
% 8.17/5.69 tff(6361,plain,
% 8.17/5.69 (v94(constB75) <=> (~((~v104(constB75)) | (~v95(constB75))))),
% 8.17/5.69 inference(unit_resolution,[status(thm)],[6360, 6357, 775])).
% 8.17/5.69 tff(6362,plain,
% 8.17/5.69 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB74, constB75)) | (v95(constB75) <=> (~((~v1(constB75)) | (~v96(constB75))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB74, constB75)) | (v95(constB75) <=> (~((~v1(constB75)) | (~v96(constB75))))))),
% 8.17/5.69 inference(rewrite,[status(thm)],[])).
% 8.17/5.69 tff(6363,plain,
% 8.17/5.69 (((~nextState(constB74, constB75)) | (v95(constB75) <=> (~((~v96(constB75)) | (~v1(constB75)))))) <=> ((~nextState(constB74, constB75)) | (v95(constB75) <=> (~((~v1(constB75)) | (~v96(constB75))))))),
% 8.17/5.69 inference(rewrite,[status(thm)],[])).
% 8.17/5.69 tff(6364,plain,
% 8.17/5.69 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB74, constB75)) | (v95(constB75) <=> (~((~v96(constB75)) | (~v1(constB75))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB74, constB75)) | (v95(constB75) <=> (~((~v1(constB75)) | (~v96(constB75)))))))),
% 8.17/5.69 inference(monotonicity,[status(thm)],[6363])).
% 8.17/5.69 tff(6365,plain,
% 8.17/5.69 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB74, constB75)) | (v95(constB75) <=> (~((~v96(constB75)) | (~v1(constB75))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB74, constB75)) | (v95(constB75) <=> (~((~v1(constB75)) | (~v96(constB75))))))),
% 8.17/5.69 inference(transitivity,[status(thm)],[6364, 6362])).
% 8.17/5.69 tff(6366,plain,
% 8.17/5.69 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB74, constB75)) | (v95(constB75) <=> (~((~v96(constB75)) | (~v1(constB75))))))),
% 8.17/5.69 inference(quant_inst,[status(thm)],[])).
% 8.17/5.69 tff(6367,plain,
% 8.17/5.69 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB74, constB75)) | (v95(constB75) <=> (~((~v1(constB75)) | (~v96(constB75)))))),
% 8.17/5.69 inference(modus_ponens,[status(thm)],[6366, 6365])).
% 8.17/5.69 tff(6368,plain,
% 8.17/5.69 (v95(constB75) <=> (~((~v1(constB75)) | (~v96(constB75))))),
% 8.17/5.69 inference(unit_resolution,[status(thm)],[6367, 6357, 795])).
% 8.17/5.69 tff(6369,plain,
% 8.17/5.69 (((~v1(constB75)) | (~v96(constB75))) | v1(constB75)),
% 8.17/5.69 inference(tautology,[status(thm)],[])).
% 8.17/5.69 tff(6370,plain,
% 8.17/5.69 ((~v1(constB75)) | (~v96(constB75))),
% 8.17/5.69 inference(unit_resolution,[status(thm)],[6369, 6314])).
% 8.17/5.69 tff(6371,plain,
% 8.17/5.69 ((~(v95(constB75) <=> (~((~v1(constB75)) | (~v96(constB75)))))) | (~v95(constB75)) | (~((~v1(constB75)) | (~v96(constB75))))),
% 8.17/5.69 inference(tautology,[status(thm)],[])).
% 8.17/5.69 tff(6372,plain,
% 8.17/5.69 ((~(v95(constB75) <=> (~((~v1(constB75)) | (~v96(constB75)))))) | (~v95(constB75))),
% 8.17/5.69 inference(unit_resolution,[status(thm)],[6371, 6370])).
% 8.17/5.69 tff(6373,plain,
% 8.17/5.69 (~v95(constB75)),
% 8.17/5.69 inference(unit_resolution,[status(thm)],[6372, 6368])).
% 8.17/5.69 tff(6374,plain,
% 8.17/5.69 (((~v104(constB75)) | (~v95(constB75))) | v95(constB75)),
% 8.17/5.69 inference(tautology,[status(thm)],[])).
% 8.17/5.69 tff(6375,plain,
% 8.17/5.69 ((~v104(constB75)) | (~v95(constB75))),
% 8.17/5.69 inference(unit_resolution,[status(thm)],[6374, 6373])).
% 8.17/5.69 tff(6376,plain,
% 8.17/5.69 ((~(v94(constB75) <=> (~((~v104(constB75)) | (~v95(constB75)))))) | (~v94(constB75)) | (~((~v104(constB75)) | (~v95(constB75))))),
% 8.17/5.69 inference(tautology,[status(thm)],[])).
% 8.17/5.69 tff(6377,plain,
% 8.17/5.69 (~v94(constB75)),
% 8.17/5.69 inference(unit_resolution,[status(thm)],[6376, 6375, 6361])).
% 8.17/5.69 tff(6378,plain,
% 8.17/5.69 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB75) | (~nextState(constB74, constB75)) | ![B: $i] : ((~less_3(B)) | (v84(constB75, B) <=> v84(constB74, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB75) | (~nextState(constB74, constB75)) | ![B: $i] : ((~less_3(B)) | (v84(constB75, B) <=> v84(constB74, B))))),
% 8.17/5.69 inference(rewrite,[status(thm)],[])).
% 8.17/5.69 tff(6379,plain,
% 8.17/5.69 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB75) | (~nextState(constB74, constB75)) | ![B: $i] : ((~less_3(B)) | (v84(constB75, B) <=> v84(constB74, B))))),
% 8.17/5.69 inference(quant_inst,[status(thm)],[])).
% 8.17/5.69 tff(6380,plain,
% 8.17/5.69 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB75) | (~nextState(constB74, constB75)) | ![B: $i] : ((~less_3(B)) | (v84(constB75, B) <=> v84(constB74, B)))),
% 8.17/5.69 inference(modus_ponens,[status(thm)],[6379, 6378])).
% 8.17/5.69 tff(6381,plain,
% 8.17/5.69 (v94(constB75) | ![B: $i] : ((~less_3(B)) | (v84(constB75, B) <=> v84(constB74, B)))),
% 8.17/5.69 inference(unit_resolution,[status(thm)],[6380, 6357, 824])).
% 8.17/5.69 tff(6382,plain,
% 8.17/5.69 (![B: $i] : ((~less_3(B)) | (v84(constB75, B) <=> v84(constB74, B)))),
% 8.17/5.69 inference(unit_resolution,[status(thm)],[6381, 6377])).
% 8.17/5.69 tff(6383,plain,
% 8.17/5.69 (((~![B: $i] : ((~less_3(B)) | (v84(constB75, B) <=> v84(constB74, B)))) | ((~less_3(bitIndex2)) | (v84(constB75, bitIndex2) <=> v84(constB74, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB75, B) <=> v84(constB74, B)))) | (~less_3(bitIndex2)) | (v84(constB75, bitIndex2) <=> v84(constB74, bitIndex2)))),
% 8.17/5.69 inference(rewrite,[status(thm)],[])).
% 8.17/5.69 tff(6384,plain,
% 8.17/5.69 ((~![B: $i] : ((~less_3(B)) | (v84(constB75, B) <=> v84(constB74, B)))) | ((~less_3(bitIndex2)) | (v84(constB75, bitIndex2) <=> v84(constB74, bitIndex2)))),
% 8.17/5.69 inference(quant_inst,[status(thm)],[])).
% 8.17/5.69 tff(6385,plain,
% 8.17/5.69 ((~![B: $i] : ((~less_3(B)) | (v84(constB75, B) <=> v84(constB74, B)))) | (~less_3(bitIndex2)) | (v84(constB75, bitIndex2) <=> v84(constB74, bitIndex2))),
% 8.17/5.69 inference(modus_ponens,[status(thm)],[6384, 6383])).
% 8.17/5.69 tff(6386,plain,
% 8.17/5.69 (v84(constB75, bitIndex2) <=> v84(constB74, bitIndex2)),
% 8.17/5.69 inference(unit_resolution,[status(thm)],[6385, 832, 6382])).
% 8.17/5.69 tff(6387,plain,
% 8.17/5.69 (nextState(constB73, constB74) <=> nextState(constB73, constB74)),
% 8.17/5.69 inference(rewrite,[status(thm)],[])).
% 8.17/5.69 tff(6388,axiom,(nextState(constB73, constB74)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_73')).
% 8.17/5.69 tff(6389,plain,
% 8.17/5.69 (nextState(constB73, constB74)),
% 8.17/5.69 inference(modus_ponens,[status(thm)],[6388, 6387])).
% 8.17/5.69 tff(6390,plain,
% 8.17/5.69 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB73, constB74)) | (v94(constB74) <=> (~((~v104(constB74)) | (~v95(constB74))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB73, constB74)) | (v94(constB74) <=> (~((~v104(constB74)) | (~v95(constB74))))))),
% 8.17/5.69 inference(rewrite,[status(thm)],[])).
% 8.17/5.69 tff(6391,plain,
% 8.17/5.69 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB73, constB74)) | (v94(constB74) <=> (~((~v104(constB74)) | (~v95(constB74))))))),
% 8.17/5.69 inference(quant_inst,[status(thm)],[])).
% 8.17/5.69 tff(6392,plain,
% 8.17/5.69 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB73, constB74)) | (v94(constB74) <=> (~((~v104(constB74)) | (~v95(constB74)))))),
% 8.17/5.69 inference(modus_ponens,[status(thm)],[6391, 6390])).
% 8.17/5.69 tff(6393,plain,
% 8.17/5.69 (v94(constB74) <=> (~((~v104(constB74)) | (~v95(constB74))))),
% 8.17/5.69 inference(unit_resolution,[status(thm)],[6392, 6389, 775])).
% 8.17/5.69 tff(6394,plain,
% 8.17/5.69 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB73, constB74)) | (v95(constB74) <=> (~((~v1(constB74)) | (~v96(constB74))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB73, constB74)) | (v95(constB74) <=> (~((~v1(constB74)) | (~v96(constB74))))))),
% 8.17/5.69 inference(rewrite,[status(thm)],[])).
% 8.17/5.69 tff(6395,plain,
% 8.17/5.69 (((~nextState(constB73, constB74)) | (v95(constB74) <=> (~((~v96(constB74)) | (~v1(constB74)))))) <=> ((~nextState(constB73, constB74)) | (v95(constB74) <=> (~((~v1(constB74)) | (~v96(constB74))))))),
% 8.17/5.69 inference(rewrite,[status(thm)],[])).
% 8.17/5.69 tff(6396,plain,
% 8.17/5.69 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB73, constB74)) | (v95(constB74) <=> (~((~v96(constB74)) | (~v1(constB74))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB73, constB74)) | (v95(constB74) <=> (~((~v1(constB74)) | (~v96(constB74)))))))),
% 8.17/5.69 inference(monotonicity,[status(thm)],[6395])).
% 8.17/5.69 tff(6397,plain,
% 8.17/5.69 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB73, constB74)) | (v95(constB74) <=> (~((~v96(constB74)) | (~v1(constB74))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB73, constB74)) | (v95(constB74) <=> (~((~v1(constB74)) | (~v96(constB74))))))),
% 8.17/5.69 inference(transitivity,[status(thm)],[6396, 6394])).
% 8.17/5.69 tff(6398,plain,
% 8.17/5.69 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB73, constB74)) | (v95(constB74) <=> (~((~v96(constB74)) | (~v1(constB74))))))),
% 8.17/5.69 inference(quant_inst,[status(thm)],[])).
% 8.17/5.69 tff(6399,plain,
% 8.17/5.69 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB73, constB74)) | (v95(constB74) <=> (~((~v1(constB74)) | (~v96(constB74)))))),
% 8.17/5.69 inference(modus_ponens,[status(thm)],[6398, 6397])).
% 8.17/5.69 tff(6400,plain,
% 8.17/5.69 (v95(constB74) <=> (~((~v1(constB74)) | (~v96(constB74))))),
% 8.17/5.69 inference(unit_resolution,[status(thm)],[6399, 6389, 795])).
% 8.17/5.69 tff(6401,plain,
% 8.17/5.69 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB73, constB74)) | ((~v96(constB74)) <=> v98(constB74)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB73, constB74)) | ((~v96(constB74)) <=> v98(constB74)))),
% 8.17/5.69 inference(rewrite,[status(thm)],[])).
% 8.17/5.69 tff(6402,plain,
% 8.17/5.69 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB73, constB74)) | ((~v96(constB74)) <=> v98(constB74)))),
% 8.17/5.69 inference(quant_inst,[status(thm)],[])).
% 8.17/5.69 tff(6403,plain,
% 8.17/5.69 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB73, constB74)) | ((~v96(constB74)) <=> v98(constB74))),
% 8.17/5.69 inference(modus_ponens,[status(thm)],[6402, 6401])).
% 8.17/5.69 tff(6404,plain,
% 8.17/5.69 ((~v96(constB74)) <=> v98(constB74)),
% 8.17/5.69 inference(unit_resolution,[status(thm)],[6403, 6389, 860])).
% 8.17/5.69 tff(6405,plain,
% 8.17/5.69 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB73, constB74)) | (v98(constB74) <=> v1(constB73)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB73, constB74)) | (v98(constB74) <=> v1(constB73)))),
% 8.17/5.69 inference(rewrite,[status(thm)],[])).
% 8.17/5.69 tff(6406,plain,
% 8.17/5.69 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB73, constB74)) | (v98(constB74) <=> v1(constB73)))),
% 8.17/5.69 inference(quant_inst,[status(thm)],[])).
% 8.17/5.69 tff(6407,plain,
% 8.17/5.69 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB73, constB74)) | (v98(constB74) <=> v1(constB73))),
% 8.17/5.69 inference(modus_ponens,[status(thm)],[6406, 6405])).
% 8.17/5.69 tff(6408,plain,
% 8.17/5.69 (v98(constB74) <=> v1(constB73)),
% 8.17/5.69 inference(unit_resolution,[status(thm)],[6407, 6389, 874])).
% 8.17/5.69 tff(6409,plain,
% 8.17/5.69 ((~v1(constB73)) <=> (~v1(constB73))),
% 8.17/5.69 inference(rewrite,[status(thm)],[])).
% 8.17/5.69 tff(6410,axiom,(~v1(constB73)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_73')).
% 8.17/5.69 tff(6411,plain,
% 8.17/5.69 (~v1(constB73)),
% 8.17/5.69 inference(modus_ponens,[status(thm)],[6410, 6409])).
% 8.17/5.69 tff(6412,plain,
% 8.17/5.69 ((~(v98(constB74) <=> v1(constB73))) | (~v98(constB74)) | v1(constB73)),
% 8.17/5.69 inference(tautology,[status(thm)],[])).
% 8.17/5.69 tff(6413,plain,
% 8.17/5.69 ((~(v98(constB74) <=> v1(constB73))) | (~v98(constB74))),
% 8.17/5.69 inference(unit_resolution,[status(thm)],[6412, 6411])).
% 8.17/5.69 tff(6414,plain,
% 8.17/5.69 (~v98(constB74)),
% 8.17/5.69 inference(unit_resolution,[status(thm)],[6413, 6408])).
% 8.17/5.69 tff(6415,plain,
% 8.17/5.69 ((~((~v96(constB74)) <=> v98(constB74))) | v96(constB74) | v98(constB74)),
% 8.17/5.69 inference(tautology,[status(thm)],[])).
% 8.17/5.69 tff(6416,plain,
% 8.17/5.69 (v96(constB74)),
% 8.17/5.69 inference(unit_resolution,[status(thm)],[6415, 6414, 6404])).
% 8.17/5.69 tff(6417,plain,
% 8.17/5.69 (v1(constB74) <=> v1(constB74)),
% 8.17/5.69 inference(rewrite,[status(thm)],[])).
% 8.17/5.69 tff(6418,axiom,(v1(constB74)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_74')).
% 8.17/5.69 tff(6419,plain,
% 8.17/5.69 (v1(constB74)),
% 8.17/5.69 inference(modus_ponens,[status(thm)],[6418, 6417])).
% 8.17/5.69 tff(6420,plain,
% 8.17/5.69 ((~((~v1(constB74)) | (~v96(constB74)))) | (~v1(constB74)) | (~v96(constB74))),
% 8.17/5.69 inference(tautology,[status(thm)],[])).
% 8.17/5.69 tff(6421,plain,
% 8.17/5.69 ((~((~v1(constB74)) | (~v96(constB74)))) | (~v96(constB74))),
% 8.17/5.69 inference(unit_resolution,[status(thm)],[6420, 6419])).
% 8.17/5.69 tff(6422,plain,
% 8.17/5.69 (~((~v1(constB74)) | (~v96(constB74)))),
% 8.17/5.69 inference(unit_resolution,[status(thm)],[6421, 6416])).
% 8.17/5.69 tff(6423,plain,
% 8.17/5.69 ((~(v95(constB74) <=> (~((~v1(constB74)) | (~v96(constB74)))))) | v95(constB74) | ((~v1(constB74)) | (~v96(constB74)))),
% 8.17/5.69 inference(tautology,[status(thm)],[])).
% 8.17/5.69 tff(6424,plain,
% 8.17/5.69 (v95(constB74)),
% 8.17/5.69 inference(unit_resolution,[status(thm)],[6423, 6422, 6400])).
% 8.17/5.69 tff(6425,plain,
% 8.17/5.69 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB73, constB74)) | (v104(constB74) <=> v102(constB73)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB73, constB74)) | (v104(constB74) <=> v102(constB73)))),
% 8.17/5.69 inference(rewrite,[status(thm)],[])).
% 8.17/5.69 tff(6426,plain,
% 8.17/5.69 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB73, constB74)) | (v104(constB74) <=> v102(constB73)))),
% 8.17/5.69 inference(quant_inst,[status(thm)],[])).
% 8.17/5.69 tff(6427,plain,
% 8.17/5.69 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB73, constB74)) | (v104(constB74) <=> v102(constB73))),
% 8.17/5.69 inference(modus_ponens,[status(thm)],[6426, 6425])).
% 8.17/5.69 tff(6428,plain,
% 8.17/5.69 (v104(constB74) <=> v102(constB73)),
% 8.17/5.69 inference(unit_resolution,[status(thm)],[6427, 6389, 904])).
% 8.17/5.69 tff(6429,plain,
% 8.17/5.69 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB73) <=> (v105(constB73) | v106(constB73)))),
% 8.17/5.69 inference(quant_inst,[status(thm)],[])).
% 8.17/5.69 tff(6430,plain,
% 8.17/5.69 (v102(constB73) <=> (v105(constB73) | v106(constB73))),
% 8.17/5.69 inference(unit_resolution,[status(thm)],[6429, 915])).
% 8.17/5.69 tff(6431,plain,
% 8.17/5.69 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB73) <=> (~((~v107(constB73)) | (~v120(constB73)))))),
% 8.17/5.69 inference(quant_inst,[status(thm)],[])).
% 8.17/5.69 tff(6432,plain,
% 8.17/5.69 (v106(constB73) <=> (~((~v107(constB73)) | (~v120(constB73))))),
% 8.17/5.69 inference(unit_resolution,[status(thm)],[6431, 927])).
% 8.17/5.69 tff(6433,plain,
% 8.17/5.69 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB73) <=> (v108(constB73) | v119(constB73)))),
% 8.17/5.69 inference(quant_inst,[status(thm)],[])).
% 8.17/5.69 tff(6434,plain,
% 8.17/5.69 (v107(constB73) <=> (v108(constB73) | v119(constB73))),
% 8.17/5.69 inference(unit_resolution,[status(thm)],[6433, 936])).
% 8.17/5.69 tff(6435,plain,
% 8.17/5.69 (((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB73) <=> (~((~v84(constB73, bitIndex2)) | (~v84(constB73, bitIndex1)) | v84(constB73, bitIndex0))))) <=> ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB73) <=> (~((~v84(constB73, bitIndex2)) | (~v84(constB73, bitIndex1)) | v84(constB73, bitIndex0)))))),
% 8.17/5.69 inference(rewrite,[status(thm)],[])).
% 8.17/5.69 tff(6436,plain,
% 8.17/5.69 ((v119(constB73) <=> (~(v84(constB73, bitIndex0) | (~v84(constB73, bitIndex1)) | (~v84(constB73, bitIndex2))))) <=> (v119(constB73) <=> (~((~v84(constB73, bitIndex2)) | (~v84(constB73, bitIndex1)) | v84(constB73, bitIndex0))))),
% 8.17/5.69 inference(rewrite,[status(thm)],[])).
% 8.17/5.69 tff(6437,plain,
% 8.17/5.69 (((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB73) <=> (~(v84(constB73, bitIndex0) | (~v84(constB73, bitIndex1)) | (~v84(constB73, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB73) <=> (~((~v84(constB73, bitIndex2)) | (~v84(constB73, bitIndex1)) | v84(constB73, bitIndex0)))))),
% 8.17/5.69 inference(monotonicity,[status(thm)],[6436])).
% 8.17/5.69 tff(6438,plain,
% 8.17/5.69 (((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB73) <=> (~(v84(constB73, bitIndex0) | (~v84(constB73, bitIndex1)) | (~v84(constB73, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB73) <=> (~((~v84(constB73, bitIndex2)) | (~v84(constB73, bitIndex1)) | v84(constB73, bitIndex0)))))),
% 8.17/5.69 inference(transitivity,[status(thm)],[6437, 6435])).
% 8.17/5.69 tff(6439,plain,
% 8.17/5.69 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB73) <=> (~(v84(constB73, bitIndex0) | (~v84(constB73, bitIndex1)) | (~v84(constB73, bitIndex2)))))),
% 8.17/5.69 inference(quant_inst,[status(thm)],[])).
% 8.17/5.69 tff(6440,plain,
% 8.17/5.69 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB73) <=> (~((~v84(constB73, bitIndex2)) | (~v84(constB73, bitIndex1)) | v84(constB73, bitIndex0))))),
% 8.17/5.69 inference(modus_ponens,[status(thm)],[6439, 6438])).
% 8.17/5.69 tff(6441,plain,
% 8.17/5.69 (v119(constB73) <=> (~((~v84(constB73, bitIndex2)) | (~v84(constB73, bitIndex1)) | v84(constB73, bitIndex0)))),
% 8.17/5.69 inference(unit_resolution,[status(thm)],[6440, 1511])).
% 8.17/5.69 tff(6442,plain,
% 8.17/5.69 (nextState(constB72, constB73) <=> nextState(constB72, constB73)),
% 8.17/5.69 inference(rewrite,[status(thm)],[])).
% 8.17/5.69 tff(6443,axiom,(nextState(constB72, constB73)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_72')).
% 8.17/5.69 tff(6444,plain,
% 8.17/5.69 (nextState(constB72, constB73)),
% 8.17/5.69 inference(modus_ponens,[status(thm)],[6443, 6442])).
% 8.17/5.69 tff(6445,plain,
% 8.17/5.69 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB72, constB73)) | (v94(constB73) <=> (~((~v104(constB73)) | (~v95(constB73))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB72, constB73)) | (v94(constB73) <=> (~((~v104(constB73)) | (~v95(constB73))))))),
% 8.17/5.69 inference(rewrite,[status(thm)],[])).
% 8.17/5.69 tff(6446,plain,
% 8.17/5.69 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB72, constB73)) | (v94(constB73) <=> (~((~v104(constB73)) | (~v95(constB73))))))),
% 8.17/5.69 inference(quant_inst,[status(thm)],[])).
% 8.17/5.69 tff(6447,plain,
% 8.17/5.69 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB72, constB73)) | (v94(constB73) <=> (~((~v104(constB73)) | (~v95(constB73)))))),
% 8.17/5.69 inference(modus_ponens,[status(thm)],[6446, 6445])).
% 8.17/5.69 tff(6448,plain,
% 8.17/5.69 (v94(constB73) <=> (~((~v104(constB73)) | (~v95(constB73))))),
% 8.17/5.69 inference(unit_resolution,[status(thm)],[6447, 6444, 775])).
% 8.17/5.69 tff(6449,plain,
% 8.17/5.69 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB72, constB73)) | (v95(constB73) <=> (~((~v1(constB73)) | (~v96(constB73))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB72, constB73)) | (v95(constB73) <=> (~((~v1(constB73)) | (~v96(constB73))))))),
% 8.17/5.69 inference(rewrite,[status(thm)],[])).
% 8.17/5.69 tff(6450,plain,
% 8.17/5.69 (((~nextState(constB72, constB73)) | (v95(constB73) <=> (~((~v96(constB73)) | (~v1(constB73)))))) <=> ((~nextState(constB72, constB73)) | (v95(constB73) <=> (~((~v1(constB73)) | (~v96(constB73))))))),
% 8.17/5.69 inference(rewrite,[status(thm)],[])).
% 8.17/5.69 tff(6451,plain,
% 8.17/5.69 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB72, constB73)) | (v95(constB73) <=> (~((~v96(constB73)) | (~v1(constB73))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB72, constB73)) | (v95(constB73) <=> (~((~v1(constB73)) | (~v96(constB73)))))))),
% 8.17/5.69 inference(monotonicity,[status(thm)],[6450])).
% 8.17/5.69 tff(6452,plain,
% 8.17/5.69 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB72, constB73)) | (v95(constB73) <=> (~((~v96(constB73)) | (~v1(constB73))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB72, constB73)) | (v95(constB73) <=> (~((~v1(constB73)) | (~v96(constB73))))))),
% 8.17/5.69 inference(transitivity,[status(thm)],[6451, 6449])).
% 8.17/5.69 tff(6453,plain,
% 8.17/5.69 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB72, constB73)) | (v95(constB73) <=> (~((~v96(constB73)) | (~v1(constB73))))))),
% 8.17/5.69 inference(quant_inst,[status(thm)],[])).
% 8.17/5.69 tff(6454,plain,
% 8.17/5.69 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB72, constB73)) | (v95(constB73) <=> (~((~v1(constB73)) | (~v96(constB73)))))),
% 8.17/5.69 inference(modus_ponens,[status(thm)],[6453, 6452])).
% 8.17/5.69 tff(6455,plain,
% 8.17/5.69 (v95(constB73) <=> (~((~v1(constB73)) | (~v96(constB73))))),
% 8.17/5.69 inference(unit_resolution,[status(thm)],[6454, 6444, 795])).
% 8.17/5.69 tff(6456,plain,
% 8.17/5.69 (((~v1(constB73)) | (~v96(constB73))) | v1(constB73)),
% 8.17/5.69 inference(tautology,[status(thm)],[])).
% 8.17/5.69 tff(6457,plain,
% 8.17/5.69 ((~v1(constB73)) | (~v96(constB73))),
% 8.17/5.69 inference(unit_resolution,[status(thm)],[6456, 6411])).
% 8.17/5.69 tff(6458,plain,
% 8.17/5.69 ((~(v95(constB73) <=> (~((~v1(constB73)) | (~v96(constB73)))))) | (~v95(constB73)) | (~((~v1(constB73)) | (~v96(constB73))))),
% 8.17/5.69 inference(tautology,[status(thm)],[])).
% 8.17/5.69 tff(6459,plain,
% 8.17/5.69 ((~(v95(constB73) <=> (~((~v1(constB73)) | (~v96(constB73)))))) | (~v95(constB73))),
% 8.17/5.69 inference(unit_resolution,[status(thm)],[6458, 6457])).
% 8.17/5.69 tff(6460,plain,
% 8.17/5.69 (~v95(constB73)),
% 8.17/5.69 inference(unit_resolution,[status(thm)],[6459, 6455])).
% 8.17/5.69 tff(6461,plain,
% 8.17/5.69 (((~v104(constB73)) | (~v95(constB73))) | v95(constB73)),
% 8.17/5.69 inference(tautology,[status(thm)],[])).
% 8.17/5.69 tff(6462,plain,
% 8.17/5.69 ((~v104(constB73)) | (~v95(constB73))),
% 8.17/5.69 inference(unit_resolution,[status(thm)],[6461, 6460])).
% 8.17/5.69 tff(6463,plain,
% 8.17/5.69 ((~(v94(constB73) <=> (~((~v104(constB73)) | (~v95(constB73)))))) | (~v94(constB73)) | (~((~v104(constB73)) | (~v95(constB73))))),
% 8.17/5.70 inference(tautology,[status(thm)],[])).
% 8.17/5.70 tff(6464,plain,
% 8.17/5.70 (~v94(constB73)),
% 8.17/5.70 inference(unit_resolution,[status(thm)],[6463, 6462, 6448])).
% 8.17/5.70 tff(6465,plain,
% 8.17/5.70 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB73) | (~nextState(constB72, constB73)) | ![B: $i] : ((~less_3(B)) | (v84(constB73, B) <=> v84(constB72, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB73) | (~nextState(constB72, constB73)) | ![B: $i] : ((~less_3(B)) | (v84(constB73, B) <=> v84(constB72, B))))),
% 8.17/5.70 inference(rewrite,[status(thm)],[])).
% 8.17/5.70 tff(6466,plain,
% 8.17/5.70 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB73) | (~nextState(constB72, constB73)) | ![B: $i] : ((~less_3(B)) | (v84(constB73, B) <=> v84(constB72, B))))),
% 8.17/5.70 inference(quant_inst,[status(thm)],[])).
% 8.17/5.70 tff(6467,plain,
% 8.17/5.70 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB73) | (~nextState(constB72, constB73)) | ![B: $i] : ((~less_3(B)) | (v84(constB73, B) <=> v84(constB72, B)))),
% 8.17/5.70 inference(modus_ponens,[status(thm)],[6466, 6465])).
% 8.17/5.70 tff(6468,plain,
% 8.17/5.70 (v94(constB73) | ![B: $i] : ((~less_3(B)) | (v84(constB73, B) <=> v84(constB72, B)))),
% 8.17/5.70 inference(unit_resolution,[status(thm)],[6467, 6444, 824])).
% 8.17/5.70 tff(6469,plain,
% 8.17/5.70 (![B: $i] : ((~less_3(B)) | (v84(constB73, B) <=> v84(constB72, B)))),
% 8.17/5.70 inference(unit_resolution,[status(thm)],[6468, 6464])).
% 8.17/5.70 tff(6470,plain,
% 8.17/5.70 (((~![B: $i] : ((~less_3(B)) | (v84(constB73, B) <=> v84(constB72, B)))) | ((~less_3(bitIndex2)) | (v84(constB73, bitIndex2) <=> v84(constB72, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB73, B) <=> v84(constB72, B)))) | (~less_3(bitIndex2)) | (v84(constB73, bitIndex2) <=> v84(constB72, bitIndex2)))),
% 8.17/5.70 inference(rewrite,[status(thm)],[])).
% 8.17/5.70 tff(6471,plain,
% 8.17/5.70 ((~![B: $i] : ((~less_3(B)) | (v84(constB73, B) <=> v84(constB72, B)))) | ((~less_3(bitIndex2)) | (v84(constB73, bitIndex2) <=> v84(constB72, bitIndex2)))),
% 8.17/5.70 inference(quant_inst,[status(thm)],[])).
% 8.17/5.70 tff(6472,plain,
% 8.17/5.70 ((~![B: $i] : ((~less_3(B)) | (v84(constB73, B) <=> v84(constB72, B)))) | (~less_3(bitIndex2)) | (v84(constB73, bitIndex2) <=> v84(constB72, bitIndex2))),
% 8.17/5.70 inference(modus_ponens,[status(thm)],[6471, 6470])).
% 8.17/5.70 tff(6473,plain,
% 8.17/5.70 (v84(constB73, bitIndex2) <=> v84(constB72, bitIndex2)),
% 8.17/5.70 inference(unit_resolution,[status(thm)],[6472, 832, 6469])).
% 8.17/5.70 tff(6474,plain,
% 8.17/5.70 (nextState(constB71, constB72) <=> nextState(constB71, constB72)),
% 8.17/5.70 inference(rewrite,[status(thm)],[])).
% 8.17/5.70 tff(6475,axiom,(nextState(constB71, constB72)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_71')).
% 8.17/5.70 tff(6476,plain,
% 8.17/5.70 (nextState(constB71, constB72)),
% 8.17/5.70 inference(modus_ponens,[status(thm)],[6475, 6474])).
% 8.17/5.70 tff(6477,plain,
% 8.17/5.70 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB71, constB72)) | (v94(constB72) <=> (~((~v104(constB72)) | (~v95(constB72))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB71, constB72)) | (v94(constB72) <=> (~((~v104(constB72)) | (~v95(constB72))))))),
% 8.17/5.70 inference(rewrite,[status(thm)],[])).
% 8.17/5.70 tff(6478,plain,
% 8.17/5.70 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB71, constB72)) | (v94(constB72) <=> (~((~v104(constB72)) | (~v95(constB72))))))),
% 8.17/5.70 inference(quant_inst,[status(thm)],[])).
% 8.17/5.70 tff(6479,plain,
% 8.17/5.70 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB71, constB72)) | (v94(constB72) <=> (~((~v104(constB72)) | (~v95(constB72)))))),
% 8.17/5.70 inference(modus_ponens,[status(thm)],[6478, 6477])).
% 8.17/5.70 tff(6480,plain,
% 8.17/5.70 (v94(constB72) <=> (~((~v104(constB72)) | (~v95(constB72))))),
% 8.17/5.70 inference(unit_resolution,[status(thm)],[6479, 6476, 775])).
% 8.17/5.70 tff(6481,plain,
% 8.17/5.70 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB71, constB72)) | (v95(constB72) <=> (~((~v1(constB72)) | (~v96(constB72))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB71, constB72)) | (v95(constB72) <=> (~((~v1(constB72)) | (~v96(constB72))))))),
% 8.17/5.70 inference(rewrite,[status(thm)],[])).
% 8.17/5.70 tff(6482,plain,
% 8.17/5.70 (((~nextState(constB71, constB72)) | (v95(constB72) <=> (~((~v96(constB72)) | (~v1(constB72)))))) <=> ((~nextState(constB71, constB72)) | (v95(constB72) <=> (~((~v1(constB72)) | (~v96(constB72))))))),
% 8.17/5.70 inference(rewrite,[status(thm)],[])).
% 8.17/5.70 tff(6483,plain,
% 8.17/5.70 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB71, constB72)) | (v95(constB72) <=> (~((~v96(constB72)) | (~v1(constB72))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB71, constB72)) | (v95(constB72) <=> (~((~v1(constB72)) | (~v96(constB72)))))))),
% 8.17/5.70 inference(monotonicity,[status(thm)],[6482])).
% 8.17/5.70 tff(6484,plain,
% 8.17/5.70 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB71, constB72)) | (v95(constB72) <=> (~((~v96(constB72)) | (~v1(constB72))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB71, constB72)) | (v95(constB72) <=> (~((~v1(constB72)) | (~v96(constB72))))))),
% 8.17/5.70 inference(transitivity,[status(thm)],[6483, 6481])).
% 8.17/5.70 tff(6485,plain,
% 8.17/5.70 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB71, constB72)) | (v95(constB72) <=> (~((~v96(constB72)) | (~v1(constB72))))))),
% 8.17/5.70 inference(quant_inst,[status(thm)],[])).
% 8.17/5.70 tff(6486,plain,
% 8.17/5.70 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB71, constB72)) | (v95(constB72) <=> (~((~v1(constB72)) | (~v96(constB72)))))),
% 8.17/5.70 inference(modus_ponens,[status(thm)],[6485, 6484])).
% 8.17/5.70 tff(6487,plain,
% 8.17/5.70 (v95(constB72) <=> (~((~v1(constB72)) | (~v96(constB72))))),
% 8.17/5.70 inference(unit_resolution,[status(thm)],[6486, 6476, 795])).
% 8.17/5.70 tff(6488,plain,
% 8.17/5.70 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB71, constB72)) | ((~v96(constB72)) <=> v98(constB72)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB71, constB72)) | ((~v96(constB72)) <=> v98(constB72)))),
% 8.17/5.70 inference(rewrite,[status(thm)],[])).
% 8.17/5.70 tff(6489,plain,
% 8.17/5.70 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB71, constB72)) | ((~v96(constB72)) <=> v98(constB72)))),
% 8.17/5.70 inference(quant_inst,[status(thm)],[])).
% 8.17/5.70 tff(6490,plain,
% 8.17/5.70 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB71, constB72)) | ((~v96(constB72)) <=> v98(constB72))),
% 8.17/5.70 inference(modus_ponens,[status(thm)],[6489, 6488])).
% 8.17/5.70 tff(6491,plain,
% 8.17/5.70 ((~v96(constB72)) <=> v98(constB72)),
% 8.17/5.70 inference(unit_resolution,[status(thm)],[6490, 6476, 860])).
% 8.17/5.70 tff(6492,plain,
% 8.17/5.70 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB71, constB72)) | (v98(constB72) <=> v1(constB71)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB71, constB72)) | (v98(constB72) <=> v1(constB71)))),
% 8.17/5.70 inference(rewrite,[status(thm)],[])).
% 8.17/5.70 tff(6493,plain,
% 8.17/5.70 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB71, constB72)) | (v98(constB72) <=> v1(constB71)))),
% 8.17/5.70 inference(quant_inst,[status(thm)],[])).
% 8.17/5.70 tff(6494,plain,
% 8.17/5.70 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB71, constB72)) | (v98(constB72) <=> v1(constB71))),
% 8.17/5.70 inference(modus_ponens,[status(thm)],[6493, 6492])).
% 8.17/5.70 tff(6495,plain,
% 8.17/5.70 (v98(constB72) <=> v1(constB71)),
% 8.17/5.70 inference(unit_resolution,[status(thm)],[6494, 6476, 874])).
% 8.17/5.70 tff(6496,plain,
% 8.17/5.70 ((~v1(constB71)) <=> (~v1(constB71))),
% 8.17/5.70 inference(rewrite,[status(thm)],[])).
% 8.17/5.70 tff(6497,axiom,(~v1(constB71)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_71')).
% 8.17/5.70 tff(6498,plain,
% 8.17/5.70 (~v1(constB71)),
% 8.17/5.70 inference(modus_ponens,[status(thm)],[6497, 6496])).
% 8.17/5.70 tff(6499,plain,
% 8.17/5.70 ((~(v98(constB72) <=> v1(constB71))) | (~v98(constB72)) | v1(constB71)),
% 8.17/5.70 inference(tautology,[status(thm)],[])).
% 8.17/5.70 tff(6500,plain,
% 8.17/5.70 ((~(v98(constB72) <=> v1(constB71))) | (~v98(constB72))),
% 8.17/5.70 inference(unit_resolution,[status(thm)],[6499, 6498])).
% 8.17/5.70 tff(6501,plain,
% 8.17/5.70 (~v98(constB72)),
% 8.17/5.70 inference(unit_resolution,[status(thm)],[6500, 6495])).
% 8.17/5.70 tff(6502,plain,
% 8.17/5.70 ((~((~v96(constB72)) <=> v98(constB72))) | v96(constB72) | v98(constB72)),
% 8.17/5.70 inference(tautology,[status(thm)],[])).
% 8.17/5.70 tff(6503,plain,
% 8.17/5.70 (v96(constB72)),
% 8.17/5.70 inference(unit_resolution,[status(thm)],[6502, 6501, 6491])).
% 8.17/5.70 tff(6504,plain,
% 8.17/5.70 (v1(constB72) <=> v1(constB72)),
% 8.17/5.70 inference(rewrite,[status(thm)],[])).
% 8.17/5.70 tff(6505,axiom,(v1(constB72)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_72')).
% 8.17/5.70 tff(6506,plain,
% 8.17/5.70 (v1(constB72)),
% 8.17/5.70 inference(modus_ponens,[status(thm)],[6505, 6504])).
% 8.17/5.70 tff(6507,plain,
% 8.17/5.70 ((~((~v1(constB72)) | (~v96(constB72)))) | (~v1(constB72)) | (~v96(constB72))),
% 8.17/5.70 inference(tautology,[status(thm)],[])).
% 8.17/5.70 tff(6508,plain,
% 8.17/5.70 ((~((~v1(constB72)) | (~v96(constB72)))) | (~v96(constB72))),
% 8.17/5.70 inference(unit_resolution,[status(thm)],[6507, 6506])).
% 8.17/5.70 tff(6509,plain,
% 8.17/5.70 (~((~v1(constB72)) | (~v96(constB72)))),
% 8.17/5.70 inference(unit_resolution,[status(thm)],[6508, 6503])).
% 8.17/5.70 tff(6510,plain,
% 8.17/5.70 ((~(v95(constB72) <=> (~((~v1(constB72)) | (~v96(constB72)))))) | v95(constB72) | ((~v1(constB72)) | (~v96(constB72)))),
% 8.17/5.70 inference(tautology,[status(thm)],[])).
% 8.17/5.70 tff(6511,plain,
% 8.17/5.70 (v95(constB72)),
% 8.17/5.70 inference(unit_resolution,[status(thm)],[6510, 6509, 6487])).
% 8.17/5.70 tff(6512,plain,
% 8.17/5.70 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB71, constB72)) | (v104(constB72) <=> v102(constB71)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB71, constB72)) | (v104(constB72) <=> v102(constB71)))),
% 8.17/5.70 inference(rewrite,[status(thm)],[])).
% 8.17/5.70 tff(6513,plain,
% 8.17/5.70 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB71, constB72)) | (v104(constB72) <=> v102(constB71)))),
% 8.17/5.70 inference(quant_inst,[status(thm)],[])).
% 8.17/5.70 tff(6514,plain,
% 8.17/5.70 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB71, constB72)) | (v104(constB72) <=> v102(constB71))),
% 8.17/5.70 inference(modus_ponens,[status(thm)],[6513, 6512])).
% 8.17/5.70 tff(6515,plain,
% 8.17/5.70 (v104(constB72) <=> v102(constB71)),
% 8.17/5.70 inference(unit_resolution,[status(thm)],[6514, 6476, 904])).
% 8.17/5.70 tff(6516,plain,
% 8.17/5.70 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB71) <=> (v105(constB71) | v106(constB71)))),
% 8.17/5.70 inference(quant_inst,[status(thm)],[])).
% 8.17/5.70 tff(6517,plain,
% 8.17/5.70 (v102(constB71) <=> (v105(constB71) | v106(constB71))),
% 8.17/5.70 inference(unit_resolution,[status(thm)],[6516, 915])).
% 8.17/5.70 tff(6518,plain,
% 8.17/5.70 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB71) <=> (~((~v107(constB71)) | (~v120(constB71)))))),
% 8.17/5.70 inference(quant_inst,[status(thm)],[])).
% 8.17/5.70 tff(6519,plain,
% 8.17/5.70 (v106(constB71) <=> (~((~v107(constB71)) | (~v120(constB71))))),
% 8.17/5.70 inference(unit_resolution,[status(thm)],[6518, 927])).
% 8.17/5.70 tff(6520,plain,
% 8.17/5.70 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB71) <=> (v108(constB71) | v119(constB71)))),
% 8.17/5.70 inference(quant_inst,[status(thm)],[])).
% 8.17/5.70 tff(6521,plain,
% 8.17/5.70 (v107(constB71) <=> (v108(constB71) | v119(constB71))),
% 8.17/5.70 inference(unit_resolution,[status(thm)],[6520, 936])).
% 8.17/5.70 tff(6522,plain,
% 8.17/5.70 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB71) <=> (v109(constB71) | v118(constB71)))),
% 8.17/5.70 inference(quant_inst,[status(thm)],[])).
% 8.17/5.70 tff(6523,plain,
% 8.17/5.70 (v108(constB71) <=> (v109(constB71) | v118(constB71))),
% 8.17/5.70 inference(unit_resolution,[status(thm)],[6522, 945])).
% 8.17/5.70 tff(6524,plain,
% 8.17/5.70 (((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB71) <=> (~((~v84(constB71, bitIndex2)) | v84(constB71, bitIndex1) | (~v84(constB71, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB71) <=> (~((~v84(constB71, bitIndex2)) | v84(constB71, bitIndex1) | (~v84(constB71, bitIndex0))))))),
% 8.17/5.70 inference(rewrite,[status(thm)],[])).
% 8.17/5.70 tff(6525,plain,
% 8.17/5.70 ((v118(constB71) <=> (~(v84(constB71, bitIndex1) | (~v84(constB71, bitIndex0)) | (~v84(constB71, bitIndex2))))) <=> (v118(constB71) <=> (~((~v84(constB71, bitIndex2)) | v84(constB71, bitIndex1) | (~v84(constB71, bitIndex0)))))),
% 8.17/5.70 inference(rewrite,[status(thm)],[])).
% 8.17/5.70 tff(6526,plain,
% 8.17/5.70 (((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB71) <=> (~(v84(constB71, bitIndex1) | (~v84(constB71, bitIndex0)) | (~v84(constB71, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB71) <=> (~((~v84(constB71, bitIndex2)) | v84(constB71, bitIndex1) | (~v84(constB71, bitIndex0))))))),
% 8.17/5.70 inference(monotonicity,[status(thm)],[6525])).
% 8.17/5.70 tff(6527,plain,
% 8.17/5.70 (((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB71) <=> (~(v84(constB71, bitIndex1) | (~v84(constB71, bitIndex0)) | (~v84(constB71, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB71) <=> (~((~v84(constB71, bitIndex2)) | v84(constB71, bitIndex1) | (~v84(constB71, bitIndex0))))))),
% 8.17/5.70 inference(transitivity,[status(thm)],[6526, 6524])).
% 8.17/5.70 tff(6528,plain,
% 8.17/5.70 ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB71) <=> (~(v84(constB71, bitIndex1) | (~v84(constB71, bitIndex0)) | (~v84(constB71, bitIndex2)))))),
% 8.17/5.70 inference(quant_inst,[status(thm)],[])).
% 8.17/5.70 tff(6529,plain,
% 8.17/5.70 ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB71) <=> (~((~v84(constB71, bitIndex2)) | v84(constB71, bitIndex1) | (~v84(constB71, bitIndex0)))))),
% 8.17/5.70 inference(modus_ponens,[status(thm)],[6528, 6527])).
% 8.17/5.70 tff(6530,plain,
% 8.17/5.70 (v118(constB71) <=> (~((~v84(constB71, bitIndex2)) | v84(constB71, bitIndex1) | (~v84(constB71, bitIndex0))))),
% 8.17/5.70 inference(unit_resolution,[status(thm)],[6529, 960])).
% 8.17/5.70 tff(6531,plain,
% 8.17/5.70 (nextState(constB70, constB71) <=> nextState(constB70, constB71)),
% 8.17/5.70 inference(rewrite,[status(thm)],[])).
% 8.17/5.70 tff(6532,axiom,(nextState(constB70, constB71)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_70')).
% 8.17/5.70 tff(6533,plain,
% 8.17/5.70 (nextState(constB70, constB71)),
% 8.17/5.70 inference(modus_ponens,[status(thm)],[6532, 6531])).
% 8.17/5.70 tff(6534,plain,
% 8.17/5.70 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB70, constB71)) | (v94(constB71) <=> (~((~v104(constB71)) | (~v95(constB71))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB70, constB71)) | (v94(constB71) <=> (~((~v104(constB71)) | (~v95(constB71))))))),
% 8.17/5.70 inference(rewrite,[status(thm)],[])).
% 8.17/5.70 tff(6535,plain,
% 8.17/5.70 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB70, constB71)) | (v94(constB71) <=> (~((~v104(constB71)) | (~v95(constB71))))))),
% 8.17/5.70 inference(quant_inst,[status(thm)],[])).
% 8.17/5.70 tff(6536,plain,
% 8.17/5.70 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB70, constB71)) | (v94(constB71) <=> (~((~v104(constB71)) | (~v95(constB71)))))),
% 8.17/5.70 inference(modus_ponens,[status(thm)],[6535, 6534])).
% 8.17/5.70 tff(6537,plain,
% 8.17/5.70 (v94(constB71) <=> (~((~v104(constB71)) | (~v95(constB71))))),
% 8.17/5.70 inference(unit_resolution,[status(thm)],[6536, 6533, 775])).
% 8.17/5.70 tff(6538,plain,
% 8.17/5.70 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB70, constB71)) | (v95(constB71) <=> (~((~v1(constB71)) | (~v96(constB71))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB70, constB71)) | (v95(constB71) <=> (~((~v1(constB71)) | (~v96(constB71))))))),
% 8.17/5.70 inference(rewrite,[status(thm)],[])).
% 8.17/5.70 tff(6539,plain,
% 8.17/5.70 (((~nextState(constB70, constB71)) | (v95(constB71) <=> (~((~v96(constB71)) | (~v1(constB71)))))) <=> ((~nextState(constB70, constB71)) | (v95(constB71) <=> (~((~v1(constB71)) | (~v96(constB71))))))),
% 8.17/5.70 inference(rewrite,[status(thm)],[])).
% 8.17/5.70 tff(6540,plain,
% 8.17/5.70 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB70, constB71)) | (v95(constB71) <=> (~((~v96(constB71)) | (~v1(constB71))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB70, constB71)) | (v95(constB71) <=> (~((~v1(constB71)) | (~v96(constB71)))))))),
% 8.17/5.70 inference(monotonicity,[status(thm)],[6539])).
% 8.17/5.70 tff(6541,plain,
% 8.17/5.70 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB70, constB71)) | (v95(constB71) <=> (~((~v96(constB71)) | (~v1(constB71))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB70, constB71)) | (v95(constB71) <=> (~((~v1(constB71)) | (~v96(constB71))))))),
% 8.17/5.70 inference(transitivity,[status(thm)],[6540, 6538])).
% 8.17/5.70 tff(6542,plain,
% 8.17/5.70 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB70, constB71)) | (v95(constB71) <=> (~((~v96(constB71)) | (~v1(constB71))))))),
% 8.17/5.70 inference(quant_inst,[status(thm)],[])).
% 8.17/5.70 tff(6543,plain,
% 8.17/5.70 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB70, constB71)) | (v95(constB71) <=> (~((~v1(constB71)) | (~v96(constB71)))))),
% 8.17/5.70 inference(modus_ponens,[status(thm)],[6542, 6541])).
% 8.17/5.70 tff(6544,plain,
% 8.17/5.70 (v95(constB71) <=> (~((~v1(constB71)) | (~v96(constB71))))),
% 8.17/5.70 inference(unit_resolution,[status(thm)],[6543, 6533, 795])).
% 8.17/5.70 tff(6545,plain,
% 8.17/5.70 (((~v1(constB71)) | (~v96(constB71))) | v1(constB71)),
% 8.17/5.70 inference(tautology,[status(thm)],[])).
% 8.17/5.70 tff(6546,plain,
% 8.17/5.70 ((~v1(constB71)) | (~v96(constB71))),
% 8.17/5.70 inference(unit_resolution,[status(thm)],[6545, 6498])).
% 8.17/5.70 tff(6547,plain,
% 8.17/5.70 ((~(v95(constB71) <=> (~((~v1(constB71)) | (~v96(constB71)))))) | (~v95(constB71)) | (~((~v1(constB71)) | (~v96(constB71))))),
% 8.17/5.70 inference(tautology,[status(thm)],[])).
% 8.17/5.70 tff(6548,plain,
% 8.17/5.70 ((~(v95(constB71) <=> (~((~v1(constB71)) | (~v96(constB71)))))) | (~v95(constB71))),
% 8.17/5.70 inference(unit_resolution,[status(thm)],[6547, 6546])).
% 8.17/5.70 tff(6549,plain,
% 8.17/5.70 (~v95(constB71)),
% 8.17/5.70 inference(unit_resolution,[status(thm)],[6548, 6544])).
% 8.17/5.70 tff(6550,plain,
% 8.17/5.70 (((~v104(constB71)) | (~v95(constB71))) | v95(constB71)),
% 8.17/5.70 inference(tautology,[status(thm)],[])).
% 8.17/5.70 tff(6551,plain,
% 8.17/5.70 ((~v104(constB71)) | (~v95(constB71))),
% 8.17/5.70 inference(unit_resolution,[status(thm)],[6550, 6549])).
% 8.17/5.70 tff(6552,plain,
% 8.17/5.70 ((~(v94(constB71) <=> (~((~v104(constB71)) | (~v95(constB71)))))) | (~v94(constB71)) | (~((~v104(constB71)) | (~v95(constB71))))),
% 8.17/5.70 inference(tautology,[status(thm)],[])).
% 8.17/5.70 tff(6553,plain,
% 8.17/5.70 (~v94(constB71)),
% 8.17/5.70 inference(unit_resolution,[status(thm)],[6552, 6551, 6537])).
% 8.17/5.70 tff(6554,plain,
% 8.17/5.70 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB71) | (~nextState(constB70, constB71)) | ![B: $i] : ((~less_3(B)) | (v84(constB71, B) <=> v84(constB70, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB71) | (~nextState(constB70, constB71)) | ![B: $i] : ((~less_3(B)) | (v84(constB71, B) <=> v84(constB70, B))))),
% 8.17/5.70 inference(rewrite,[status(thm)],[])).
% 8.17/5.70 tff(6555,plain,
% 8.17/5.70 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB71) | (~nextState(constB70, constB71)) | ![B: $i] : ((~less_3(B)) | (v84(constB71, B) <=> v84(constB70, B))))),
% 8.17/5.70 inference(quant_inst,[status(thm)],[])).
% 8.17/5.70 tff(6556,plain,
% 8.17/5.70 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB71) | (~nextState(constB70, constB71)) | ![B: $i] : ((~less_3(B)) | (v84(constB71, B) <=> v84(constB70, B)))),
% 8.17/5.70 inference(modus_ponens,[status(thm)],[6555, 6554])).
% 8.17/5.70 tff(6557,plain,
% 8.17/5.70 (v94(constB71) | ![B: $i] : ((~less_3(B)) | (v84(constB71, B) <=> v84(constB70, B)))),
% 8.17/5.70 inference(unit_resolution,[status(thm)],[6556, 6533, 824])).
% 8.17/5.70 tff(6558,plain,
% 8.17/5.70 (![B: $i] : ((~less_3(B)) | (v84(constB71, B) <=> v84(constB70, B)))),
% 8.17/5.70 inference(unit_resolution,[status(thm)],[6557, 6553])).
% 8.17/5.70 tff(6559,plain,
% 8.17/5.70 (((~![B: $i] : ((~less_3(B)) | (v84(constB71, B) <=> v84(constB70, B)))) | ((~less_3(bitIndex2)) | (v84(constB71, bitIndex2) <=> v84(constB70, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB71, B) <=> v84(constB70, B)))) | (~less_3(bitIndex2)) | (v84(constB71, bitIndex2) <=> v84(constB70, bitIndex2)))),
% 8.17/5.70 inference(rewrite,[status(thm)],[])).
% 8.17/5.70 tff(6560,plain,
% 8.17/5.70 ((~![B: $i] : ((~less_3(B)) | (v84(constB71, B) <=> v84(constB70, B)))) | ((~less_3(bitIndex2)) | (v84(constB71, bitIndex2) <=> v84(constB70, bitIndex2)))),
% 8.17/5.70 inference(quant_inst,[status(thm)],[])).
% 8.17/5.70 tff(6561,plain,
% 8.17/5.70 ((~![B: $i] : ((~less_3(B)) | (v84(constB71, B) <=> v84(constB70, B)))) | (~less_3(bitIndex2)) | (v84(constB71, bitIndex2) <=> v84(constB70, bitIndex2))),
% 8.17/5.70 inference(modus_ponens,[status(thm)],[6560, 6559])).
% 8.17/5.70 tff(6562,plain,
% 8.17/5.70 (v84(constB71, bitIndex2) <=> v84(constB70, bitIndex2)),
% 8.17/5.70 inference(unit_resolution,[status(thm)],[6561, 832, 6558])).
% 8.17/5.70 tff(6563,plain,
% 8.17/5.70 (nextState(constB69, constB70) <=> nextState(constB69, constB70)),
% 8.17/5.70 inference(rewrite,[status(thm)],[])).
% 8.17/5.70 tff(6564,axiom,(nextState(constB69, constB70)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_69')).
% 8.17/5.70 tff(6565,plain,
% 8.17/5.70 (nextState(constB69, constB70)),
% 8.17/5.70 inference(modus_ponens,[status(thm)],[6564, 6563])).
% 8.17/5.70 tff(6566,plain,
% 8.17/5.70 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB69, constB70)) | (v94(constB70) <=> (~((~v104(constB70)) | (~v95(constB70))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB69, constB70)) | (v94(constB70) <=> (~((~v104(constB70)) | (~v95(constB70))))))),
% 8.17/5.70 inference(rewrite,[status(thm)],[])).
% 8.17/5.70 tff(6567,plain,
% 8.17/5.70 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB69, constB70)) | (v94(constB70) <=> (~((~v104(constB70)) | (~v95(constB70))))))),
% 8.17/5.70 inference(quant_inst,[status(thm)],[])).
% 8.17/5.70 tff(6568,plain,
% 8.17/5.70 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB69, constB70)) | (v94(constB70) <=> (~((~v104(constB70)) | (~v95(constB70)))))),
% 8.17/5.70 inference(modus_ponens,[status(thm)],[6567, 6566])).
% 8.17/5.70 tff(6569,plain,
% 8.17/5.70 (v94(constB70) <=> (~((~v104(constB70)) | (~v95(constB70))))),
% 8.17/5.70 inference(unit_resolution,[status(thm)],[6568, 6565, 775])).
% 8.17/5.70 tff(6570,plain,
% 8.17/5.70 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB69, constB70)) | (v95(constB70) <=> (~((~v1(constB70)) | (~v96(constB70))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB69, constB70)) | (v95(constB70) <=> (~((~v1(constB70)) | (~v96(constB70))))))),
% 8.17/5.70 inference(rewrite,[status(thm)],[])).
% 8.17/5.70 tff(6571,plain,
% 8.17/5.70 (((~nextState(constB69, constB70)) | (v95(constB70) <=> (~((~v96(constB70)) | (~v1(constB70)))))) <=> ((~nextState(constB69, constB70)) | (v95(constB70) <=> (~((~v1(constB70)) | (~v96(constB70))))))),
% 8.17/5.70 inference(rewrite,[status(thm)],[])).
% 8.17/5.70 tff(6572,plain,
% 8.17/5.70 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB69, constB70)) | (v95(constB70) <=> (~((~v96(constB70)) | (~v1(constB70))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB69, constB70)) | (v95(constB70) <=> (~((~v1(constB70)) | (~v96(constB70)))))))),
% 8.17/5.70 inference(monotonicity,[status(thm)],[6571])).
% 8.17/5.70 tff(6573,plain,
% 8.17/5.70 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB69, constB70)) | (v95(constB70) <=> (~((~v96(constB70)) | (~v1(constB70))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB69, constB70)) | (v95(constB70) <=> (~((~v1(constB70)) | (~v96(constB70))))))),
% 8.17/5.70 inference(transitivity,[status(thm)],[6572, 6570])).
% 8.17/5.70 tff(6574,plain,
% 8.17/5.70 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB69, constB70)) | (v95(constB70) <=> (~((~v96(constB70)) | (~v1(constB70))))))),
% 8.17/5.70 inference(quant_inst,[status(thm)],[])).
% 8.17/5.70 tff(6575,plain,
% 8.17/5.70 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB69, constB70)) | (v95(constB70) <=> (~((~v1(constB70)) | (~v96(constB70)))))),
% 8.17/5.70 inference(modus_ponens,[status(thm)],[6574, 6573])).
% 8.17/5.70 tff(6576,plain,
% 8.17/5.70 (v95(constB70) <=> (~((~v1(constB70)) | (~v96(constB70))))),
% 8.17/5.70 inference(unit_resolution,[status(thm)],[6575, 6565, 795])).
% 8.17/5.70 tff(6577,plain,
% 8.17/5.70 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB69, constB70)) | ((~v96(constB70)) <=> v98(constB70)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB69, constB70)) | ((~v96(constB70)) <=> v98(constB70)))),
% 8.17/5.70 inference(rewrite,[status(thm)],[])).
% 8.17/5.70 tff(6578,plain,
% 8.17/5.70 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB69, constB70)) | ((~v96(constB70)) <=> v98(constB70)))),
% 8.17/5.70 inference(quant_inst,[status(thm)],[])).
% 8.17/5.70 tff(6579,plain,
% 8.17/5.70 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB69, constB70)) | ((~v96(constB70)) <=> v98(constB70))),
% 8.17/5.70 inference(modus_ponens,[status(thm)],[6578, 6577])).
% 8.17/5.70 tff(6580,plain,
% 8.17/5.70 ((~v96(constB70)) <=> v98(constB70)),
% 8.17/5.70 inference(unit_resolution,[status(thm)],[6579, 6565, 860])).
% 8.17/5.70 tff(6581,plain,
% 8.17/5.70 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB69, constB70)) | (v98(constB70) <=> v1(constB69)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB69, constB70)) | (v98(constB70) <=> v1(constB69)))),
% 8.17/5.70 inference(rewrite,[status(thm)],[])).
% 8.17/5.70 tff(6582,plain,
% 8.17/5.70 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB69, constB70)) | (v98(constB70) <=> v1(constB69)))),
% 8.17/5.70 inference(quant_inst,[status(thm)],[])).
% 8.17/5.70 tff(6583,plain,
% 8.17/5.70 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB69, constB70)) | (v98(constB70) <=> v1(constB69))),
% 8.17/5.70 inference(modus_ponens,[status(thm)],[6582, 6581])).
% 8.17/5.70 tff(6584,plain,
% 8.17/5.70 (v98(constB70) <=> v1(constB69)),
% 8.17/5.70 inference(unit_resolution,[status(thm)],[6583, 6565, 874])).
% 8.17/5.70 tff(6585,plain,
% 8.17/5.70 ((~v1(constB69)) <=> (~v1(constB69))),
% 8.17/5.70 inference(rewrite,[status(thm)],[])).
% 8.17/5.70 tff(6586,axiom,(~v1(constB69)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_69')).
% 8.17/5.70 tff(6587,plain,
% 8.17/5.70 (~v1(constB69)),
% 8.17/5.70 inference(modus_ponens,[status(thm)],[6586, 6585])).
% 8.17/5.70 tff(6588,plain,
% 8.17/5.70 ((~(v98(constB70) <=> v1(constB69))) | (~v98(constB70)) | v1(constB69)),
% 8.17/5.70 inference(tautology,[status(thm)],[])).
% 8.17/5.70 tff(6589,plain,
% 8.17/5.70 ((~(v98(constB70) <=> v1(constB69))) | (~v98(constB70))),
% 8.17/5.70 inference(unit_resolution,[status(thm)],[6588, 6587])).
% 8.17/5.70 tff(6590,plain,
% 8.17/5.70 (~v98(constB70)),
% 8.17/5.70 inference(unit_resolution,[status(thm)],[6589, 6584])).
% 8.17/5.70 tff(6591,plain,
% 8.17/5.70 ((~((~v96(constB70)) <=> v98(constB70))) | v96(constB70) | v98(constB70)),
% 8.17/5.70 inference(tautology,[status(thm)],[])).
% 8.17/5.70 tff(6592,plain,
% 8.17/5.70 (v96(constB70)),
% 8.17/5.70 inference(unit_resolution,[status(thm)],[6591, 6590, 6580])).
% 8.17/5.70 tff(6593,plain,
% 8.17/5.70 (v1(constB70) <=> v1(constB70)),
% 8.17/5.70 inference(rewrite,[status(thm)],[])).
% 8.17/5.70 tff(6594,axiom,(v1(constB70)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_70')).
% 8.17/5.70 tff(6595,plain,
% 8.17/5.70 (v1(constB70)),
% 8.17/5.70 inference(modus_ponens,[status(thm)],[6594, 6593])).
% 8.17/5.70 tff(6596,plain,
% 8.17/5.70 ((~((~v1(constB70)) | (~v96(constB70)))) | (~v1(constB70)) | (~v96(constB70))),
% 8.17/5.70 inference(tautology,[status(thm)],[])).
% 8.17/5.70 tff(6597,plain,
% 8.17/5.70 ((~((~v1(constB70)) | (~v96(constB70)))) | (~v96(constB70))),
% 8.17/5.70 inference(unit_resolution,[status(thm)],[6596, 6595])).
% 8.17/5.70 tff(6598,plain,
% 8.17/5.70 (~((~v1(constB70)) | (~v96(constB70)))),
% 8.17/5.70 inference(unit_resolution,[status(thm)],[6597, 6592])).
% 8.17/5.70 tff(6599,plain,
% 8.17/5.70 ((~(v95(constB70) <=> (~((~v1(constB70)) | (~v96(constB70)))))) | v95(constB70) | ((~v1(constB70)) | (~v96(constB70)))),
% 8.17/5.70 inference(tautology,[status(thm)],[])).
% 8.17/5.70 tff(6600,plain,
% 8.17/5.70 (v95(constB70)),
% 8.17/5.70 inference(unit_resolution,[status(thm)],[6599, 6598, 6576])).
% 8.17/5.70 tff(6601,plain,
% 8.17/5.70 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB69, constB70)) | (v104(constB70) <=> v102(constB69)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB69, constB70)) | (v104(constB70) <=> v102(constB69)))),
% 8.17/5.70 inference(rewrite,[status(thm)],[])).
% 8.17/5.70 tff(6602,plain,
% 8.17/5.70 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB69, constB70)) | (v104(constB70) <=> v102(constB69)))),
% 8.17/5.70 inference(quant_inst,[status(thm)],[])).
% 8.17/5.70 tff(6603,plain,
% 8.17/5.70 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB69, constB70)) | (v104(constB70) <=> v102(constB69))),
% 8.17/5.70 inference(modus_ponens,[status(thm)],[6602, 6601])).
% 8.17/5.70 tff(6604,plain,
% 8.17/5.70 (v104(constB70) <=> v102(constB69)),
% 8.17/5.70 inference(unit_resolution,[status(thm)],[6603, 6565, 904])).
% 8.17/5.70 tff(6605,plain,
% 8.17/5.70 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB69) <=> (v105(constB69) | v106(constB69)))),
% 8.17/5.70 inference(quant_inst,[status(thm)],[])).
% 8.17/5.70 tff(6606,plain,
% 8.17/5.70 (v102(constB69) <=> (v105(constB69) | v106(constB69))),
% 8.17/5.70 inference(unit_resolution,[status(thm)],[6605, 915])).
% 8.17/5.71 tff(6607,plain,
% 8.17/5.71 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB69) <=> (~((~v107(constB69)) | (~v120(constB69)))))),
% 8.17/5.71 inference(quant_inst,[status(thm)],[])).
% 8.17/5.71 tff(6608,plain,
% 8.17/5.71 (v106(constB69) <=> (~((~v107(constB69)) | (~v120(constB69))))),
% 8.17/5.71 inference(unit_resolution,[status(thm)],[6607, 927])).
% 8.17/5.71 tff(6609,plain,
% 8.17/5.71 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB69) <=> (v108(constB69) | v119(constB69)))),
% 8.17/5.71 inference(quant_inst,[status(thm)],[])).
% 8.17/5.71 tff(6610,plain,
% 8.17/5.71 (v107(constB69) <=> (v108(constB69) | v119(constB69))),
% 8.17/5.71 inference(unit_resolution,[status(thm)],[6609, 936])).
% 8.17/5.71 tff(6611,plain,
% 8.17/5.71 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB69) <=> (v109(constB69) | v118(constB69)))),
% 8.17/5.71 inference(quant_inst,[status(thm)],[])).
% 8.17/5.71 tff(6612,plain,
% 8.17/5.71 (v108(constB69) <=> (v109(constB69) | v118(constB69))),
% 8.17/5.71 inference(unit_resolution,[status(thm)],[6611, 945])).
% 8.17/5.71 tff(6613,plain,
% 8.17/5.71 ((~![VarCurr: $i] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB69) <=> (v110(constB69) | v117(constB69)))),
% 8.17/5.71 inference(quant_inst,[status(thm)],[])).
% 8.17/5.71 tff(6614,plain,
% 8.17/5.71 (v109(constB69) <=> (v110(constB69) | v117(constB69))),
% 8.17/5.71 inference(unit_resolution,[status(thm)],[6613, 1056])).
% 8.17/5.71 tff(6615,plain,
% 8.17/5.71 (((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB69) <=> (~((~v84(constB69, bitIndex2)) | v84(constB69, bitIndex1) | v84(constB69, bitIndex0))))) <=> ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB69) <=> (~((~v84(constB69, bitIndex2)) | v84(constB69, bitIndex1) | v84(constB69, bitIndex0)))))),
% 8.17/5.71 inference(rewrite,[status(thm)],[])).
% 8.17/5.71 tff(6616,plain,
% 8.17/5.71 ((v117(constB69) <=> (~(v84(constB69, bitIndex0) | v84(constB69, bitIndex1) | (~v84(constB69, bitIndex2))))) <=> (v117(constB69) <=> (~((~v84(constB69, bitIndex2)) | v84(constB69, bitIndex1) | v84(constB69, bitIndex0))))),
% 8.17/5.71 inference(rewrite,[status(thm)],[])).
% 8.17/5.71 tff(6617,plain,
% 8.17/5.71 (((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB69) <=> (~(v84(constB69, bitIndex0) | v84(constB69, bitIndex1) | (~v84(constB69, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB69) <=> (~((~v84(constB69, bitIndex2)) | v84(constB69, bitIndex1) | v84(constB69, bitIndex0)))))),
% 8.17/5.71 inference(monotonicity,[status(thm)],[6616])).
% 8.17/5.71 tff(6618,plain,
% 8.17/5.71 (((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB69) <=> (~(v84(constB69, bitIndex0) | v84(constB69, bitIndex1) | (~v84(constB69, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB69) <=> (~((~v84(constB69, bitIndex2)) | v84(constB69, bitIndex1) | v84(constB69, bitIndex0)))))),
% 8.17/5.71 inference(transitivity,[status(thm)],[6617, 6615])).
% 8.17/5.71 tff(6619,plain,
% 8.17/5.71 ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB69) <=> (~(v84(constB69, bitIndex0) | v84(constB69, bitIndex1) | (~v84(constB69, bitIndex2)))))),
% 8.17/5.71 inference(quant_inst,[status(thm)],[])).
% 8.17/5.71 tff(6620,plain,
% 8.17/5.71 ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB69) <=> (~((~v84(constB69, bitIndex2)) | v84(constB69, bitIndex1) | v84(constB69, bitIndex0))))),
% 8.17/5.71 inference(modus_ponens,[status(thm)],[6619, 6618])).
% 8.17/5.71 tff(6621,plain,
% 8.17/5.71 (v117(constB69) <=> (~((~v84(constB69, bitIndex2)) | v84(constB69, bitIndex1) | v84(constB69, bitIndex0)))),
% 8.17/5.71 inference(unit_resolution,[status(thm)],[6620, 1071])).
% 8.17/5.71 tff(6622,plain,
% 8.17/5.71 (nextState(constB68, constB69) <=> nextState(constB68, constB69)),
% 8.17/5.71 inference(rewrite,[status(thm)],[])).
% 8.17/5.71 tff(6623,axiom,(nextState(constB68, constB69)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_68')).
% 8.17/5.71 tff(6624,plain,
% 8.17/5.71 (nextState(constB68, constB69)),
% 8.17/5.71 inference(modus_ponens,[status(thm)],[6623, 6622])).
% 8.17/5.71 tff(6625,plain,
% 8.17/5.71 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB68, constB69)) | (v94(constB69) <=> (~((~v104(constB69)) | (~v95(constB69))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB68, constB69)) | (v94(constB69) <=> (~((~v104(constB69)) | (~v95(constB69))))))),
% 8.17/5.71 inference(rewrite,[status(thm)],[])).
% 8.17/5.71 tff(6626,plain,
% 8.17/5.71 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB68, constB69)) | (v94(constB69) <=> (~((~v104(constB69)) | (~v95(constB69))))))),
% 8.17/5.71 inference(quant_inst,[status(thm)],[])).
% 8.17/5.71 tff(6627,plain,
% 8.17/5.71 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB68, constB69)) | (v94(constB69) <=> (~((~v104(constB69)) | (~v95(constB69)))))),
% 8.17/5.71 inference(modus_ponens,[status(thm)],[6626, 6625])).
% 8.17/5.71 tff(6628,plain,
% 8.17/5.71 (v94(constB69) <=> (~((~v104(constB69)) | (~v95(constB69))))),
% 8.17/5.71 inference(unit_resolution,[status(thm)],[6627, 6624, 775])).
% 8.17/5.71 tff(6629,plain,
% 8.17/5.71 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB68, constB69)) | (v95(constB69) <=> (~((~v1(constB69)) | (~v96(constB69))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB68, constB69)) | (v95(constB69) <=> (~((~v1(constB69)) | (~v96(constB69))))))),
% 8.17/5.71 inference(rewrite,[status(thm)],[])).
% 8.17/5.71 tff(6630,plain,
% 8.17/5.71 (((~nextState(constB68, constB69)) | (v95(constB69) <=> (~((~v96(constB69)) | (~v1(constB69)))))) <=> ((~nextState(constB68, constB69)) | (v95(constB69) <=> (~((~v1(constB69)) | (~v96(constB69))))))),
% 8.17/5.71 inference(rewrite,[status(thm)],[])).
% 8.17/5.71 tff(6631,plain,
% 8.17/5.71 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB68, constB69)) | (v95(constB69) <=> (~((~v96(constB69)) | (~v1(constB69))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB68, constB69)) | (v95(constB69) <=> (~((~v1(constB69)) | (~v96(constB69)))))))),
% 8.17/5.71 inference(monotonicity,[status(thm)],[6630])).
% 8.17/5.71 tff(6632,plain,
% 8.17/5.71 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB68, constB69)) | (v95(constB69) <=> (~((~v96(constB69)) | (~v1(constB69))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB68, constB69)) | (v95(constB69) <=> (~((~v1(constB69)) | (~v96(constB69))))))),
% 8.17/5.71 inference(transitivity,[status(thm)],[6631, 6629])).
% 8.17/5.71 tff(6633,plain,
% 8.17/5.71 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB68, constB69)) | (v95(constB69) <=> (~((~v96(constB69)) | (~v1(constB69))))))),
% 8.17/5.71 inference(quant_inst,[status(thm)],[])).
% 8.17/5.71 tff(6634,plain,
% 8.17/5.71 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB68, constB69)) | (v95(constB69) <=> (~((~v1(constB69)) | (~v96(constB69)))))),
% 8.17/5.71 inference(modus_ponens,[status(thm)],[6633, 6632])).
% 8.17/5.71 tff(6635,plain,
% 8.17/5.71 (v95(constB69) <=> (~((~v1(constB69)) | (~v96(constB69))))),
% 8.17/5.71 inference(unit_resolution,[status(thm)],[6634, 6624, 795])).
% 8.17/5.71 tff(6636,plain,
% 8.17/5.71 (((~v1(constB69)) | (~v96(constB69))) | v1(constB69)),
% 8.17/5.71 inference(tautology,[status(thm)],[])).
% 8.17/5.71 tff(6637,plain,
% 8.17/5.71 ((~v1(constB69)) | (~v96(constB69))),
% 8.17/5.71 inference(unit_resolution,[status(thm)],[6636, 6587])).
% 8.17/5.71 tff(6638,plain,
% 8.17/5.71 ((~(v95(constB69) <=> (~((~v1(constB69)) | (~v96(constB69)))))) | (~v95(constB69)) | (~((~v1(constB69)) | (~v96(constB69))))),
% 8.17/5.71 inference(tautology,[status(thm)],[])).
% 8.17/5.71 tff(6639,plain,
% 8.17/5.71 ((~(v95(constB69) <=> (~((~v1(constB69)) | (~v96(constB69)))))) | (~v95(constB69))),
% 8.17/5.71 inference(unit_resolution,[status(thm)],[6638, 6637])).
% 8.17/5.71 tff(6640,plain,
% 8.17/5.71 (~v95(constB69)),
% 8.17/5.71 inference(unit_resolution,[status(thm)],[6639, 6635])).
% 8.17/5.71 tff(6641,plain,
% 8.17/5.71 (((~v104(constB69)) | (~v95(constB69))) | v95(constB69)),
% 8.17/5.71 inference(tautology,[status(thm)],[])).
% 8.17/5.71 tff(6642,plain,
% 8.17/5.71 ((~v104(constB69)) | (~v95(constB69))),
% 8.17/5.71 inference(unit_resolution,[status(thm)],[6641, 6640])).
% 8.17/5.71 tff(6643,plain,
% 8.17/5.71 ((~(v94(constB69) <=> (~((~v104(constB69)) | (~v95(constB69)))))) | (~v94(constB69)) | (~((~v104(constB69)) | (~v95(constB69))))),
% 8.17/5.71 inference(tautology,[status(thm)],[])).
% 8.17/5.71 tff(6644,plain,
% 8.17/5.71 (~v94(constB69)),
% 8.17/5.71 inference(unit_resolution,[status(thm)],[6643, 6642, 6628])).
% 8.17/5.71 tff(6645,plain,
% 8.17/5.71 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB69) | (~nextState(constB68, constB69)) | ![B: $i] : ((~less_3(B)) | (v84(constB69, B) <=> v84(constB68, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB69) | (~nextState(constB68, constB69)) | ![B: $i] : ((~less_3(B)) | (v84(constB69, B) <=> v84(constB68, B))))),
% 8.17/5.71 inference(rewrite,[status(thm)],[])).
% 8.17/5.71 tff(6646,plain,
% 8.17/5.71 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB69) | (~nextState(constB68, constB69)) | ![B: $i] : ((~less_3(B)) | (v84(constB69, B) <=> v84(constB68, B))))),
% 8.17/5.71 inference(quant_inst,[status(thm)],[])).
% 8.17/5.71 tff(6647,plain,
% 8.17/5.71 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB69) | (~nextState(constB68, constB69)) | ![B: $i] : ((~less_3(B)) | (v84(constB69, B) <=> v84(constB68, B)))),
% 8.17/5.71 inference(modus_ponens,[status(thm)],[6646, 6645])).
% 8.17/5.71 tff(6648,plain,
% 8.17/5.71 (v94(constB69) | ![B: $i] : ((~less_3(B)) | (v84(constB69, B) <=> v84(constB68, B)))),
% 8.17/5.71 inference(unit_resolution,[status(thm)],[6647, 6624, 824])).
% 8.17/5.71 tff(6649,plain,
% 8.17/5.71 (![B: $i] : ((~less_3(B)) | (v84(constB69, B) <=> v84(constB68, B)))),
% 8.17/5.71 inference(unit_resolution,[status(thm)],[6648, 6644])).
% 8.17/5.71 tff(6650,plain,
% 8.17/5.71 (((~![B: $i] : ((~less_3(B)) | (v84(constB69, B) <=> v84(constB68, B)))) | ((~less_3(bitIndex2)) | (v84(constB69, bitIndex2) <=> v84(constB68, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB69, B) <=> v84(constB68, B)))) | (~less_3(bitIndex2)) | (v84(constB69, bitIndex2) <=> v84(constB68, bitIndex2)))),
% 8.17/5.71 inference(rewrite,[status(thm)],[])).
% 8.17/5.71 tff(6651,plain,
% 8.17/5.71 ((~![B: $i] : ((~less_3(B)) | (v84(constB69, B) <=> v84(constB68, B)))) | ((~less_3(bitIndex2)) | (v84(constB69, bitIndex2) <=> v84(constB68, bitIndex2)))),
% 8.17/5.71 inference(quant_inst,[status(thm)],[])).
% 8.17/5.71 tff(6652,plain,
% 8.17/5.71 ((~![B: $i] : ((~less_3(B)) | (v84(constB69, B) <=> v84(constB68, B)))) | (~less_3(bitIndex2)) | (v84(constB69, bitIndex2) <=> v84(constB68, bitIndex2))),
% 8.17/5.71 inference(modus_ponens,[status(thm)],[6651, 6650])).
% 8.17/5.71 tff(6653,plain,
% 8.17/5.71 (v84(constB69, bitIndex2) <=> v84(constB68, bitIndex2)),
% 8.17/5.71 inference(unit_resolution,[status(thm)],[6652, 832, 6649])).
% 8.17/5.71 tff(6654,plain,
% 8.17/5.71 (nextState(constB67, constB68) <=> nextState(constB67, constB68)),
% 8.17/5.71 inference(rewrite,[status(thm)],[])).
% 8.17/5.71 tff(6655,axiom,(nextState(constB67, constB68)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_67')).
% 8.17/5.71 tff(6656,plain,
% 8.17/5.71 (nextState(constB67, constB68)),
% 8.17/5.71 inference(modus_ponens,[status(thm)],[6655, 6654])).
% 8.17/5.71 tff(6657,plain,
% 8.17/5.71 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB67, constB68)) | (v94(constB68) <=> (~((~v104(constB68)) | (~v95(constB68))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB67, constB68)) | (v94(constB68) <=> (~((~v104(constB68)) | (~v95(constB68))))))),
% 8.17/5.71 inference(rewrite,[status(thm)],[])).
% 8.17/5.71 tff(6658,plain,
% 8.17/5.71 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB67, constB68)) | (v94(constB68) <=> (~((~v104(constB68)) | (~v95(constB68))))))),
% 8.17/5.71 inference(quant_inst,[status(thm)],[])).
% 8.17/5.71 tff(6659,plain,
% 8.17/5.71 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB67, constB68)) | (v94(constB68) <=> (~((~v104(constB68)) | (~v95(constB68)))))),
% 8.17/5.71 inference(modus_ponens,[status(thm)],[6658, 6657])).
% 8.17/5.71 tff(6660,plain,
% 8.17/5.71 (v94(constB68) <=> (~((~v104(constB68)) | (~v95(constB68))))),
% 8.17/5.71 inference(unit_resolution,[status(thm)],[6659, 6656, 775])).
% 8.17/5.71 tff(6661,plain,
% 8.17/5.71 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB67, constB68)) | (v95(constB68) <=> (~((~v1(constB68)) | (~v96(constB68))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB67, constB68)) | (v95(constB68) <=> (~((~v1(constB68)) | (~v96(constB68))))))),
% 8.17/5.71 inference(rewrite,[status(thm)],[])).
% 8.17/5.71 tff(6662,plain,
% 8.17/5.71 (((~nextState(constB67, constB68)) | (v95(constB68) <=> (~((~v96(constB68)) | (~v1(constB68)))))) <=> ((~nextState(constB67, constB68)) | (v95(constB68) <=> (~((~v1(constB68)) | (~v96(constB68))))))),
% 8.17/5.71 inference(rewrite,[status(thm)],[])).
% 8.17/5.71 tff(6663,plain,
% 8.17/5.71 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB67, constB68)) | (v95(constB68) <=> (~((~v96(constB68)) | (~v1(constB68))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB67, constB68)) | (v95(constB68) <=> (~((~v1(constB68)) | (~v96(constB68)))))))),
% 8.17/5.71 inference(monotonicity,[status(thm)],[6662])).
% 8.17/5.71 tff(6664,plain,
% 8.17/5.71 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB67, constB68)) | (v95(constB68) <=> (~((~v96(constB68)) | (~v1(constB68))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB67, constB68)) | (v95(constB68) <=> (~((~v1(constB68)) | (~v96(constB68))))))),
% 8.17/5.71 inference(transitivity,[status(thm)],[6663, 6661])).
% 8.17/5.71 tff(6665,plain,
% 8.17/5.71 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB67, constB68)) | (v95(constB68) <=> (~((~v96(constB68)) | (~v1(constB68))))))),
% 8.17/5.71 inference(quant_inst,[status(thm)],[])).
% 8.17/5.71 tff(6666,plain,
% 8.17/5.71 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB67, constB68)) | (v95(constB68) <=> (~((~v1(constB68)) | (~v96(constB68)))))),
% 8.17/5.71 inference(modus_ponens,[status(thm)],[6665, 6664])).
% 8.17/5.71 tff(6667,plain,
% 8.17/5.71 (v95(constB68) <=> (~((~v1(constB68)) | (~v96(constB68))))),
% 8.17/5.71 inference(unit_resolution,[status(thm)],[6666, 6656, 795])).
% 8.17/5.71 tff(6668,plain,
% 8.17/5.71 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB67, constB68)) | ((~v96(constB68)) <=> v98(constB68)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB67, constB68)) | ((~v96(constB68)) <=> v98(constB68)))),
% 8.17/5.71 inference(rewrite,[status(thm)],[])).
% 8.17/5.71 tff(6669,plain,
% 8.17/5.71 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB67, constB68)) | ((~v96(constB68)) <=> v98(constB68)))),
% 8.17/5.71 inference(quant_inst,[status(thm)],[])).
% 8.17/5.71 tff(6670,plain,
% 8.17/5.71 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB67, constB68)) | ((~v96(constB68)) <=> v98(constB68))),
% 8.17/5.71 inference(modus_ponens,[status(thm)],[6669, 6668])).
% 8.17/5.71 tff(6671,plain,
% 8.17/5.71 ((~v96(constB68)) <=> v98(constB68)),
% 8.17/5.71 inference(unit_resolution,[status(thm)],[6670, 6656, 860])).
% 8.17/5.71 tff(6672,plain,
% 8.17/5.71 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB67, constB68)) | (v98(constB68) <=> v1(constB67)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB67, constB68)) | (v98(constB68) <=> v1(constB67)))),
% 8.17/5.71 inference(rewrite,[status(thm)],[])).
% 8.17/5.71 tff(6673,plain,
% 8.17/5.71 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB67, constB68)) | (v98(constB68) <=> v1(constB67)))),
% 8.17/5.71 inference(quant_inst,[status(thm)],[])).
% 8.17/5.71 tff(6674,plain,
% 8.17/5.71 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB67, constB68)) | (v98(constB68) <=> v1(constB67))),
% 8.17/5.71 inference(modus_ponens,[status(thm)],[6673, 6672])).
% 8.17/5.71 tff(6675,plain,
% 8.17/5.71 (v98(constB68) <=> v1(constB67)),
% 8.17/5.71 inference(unit_resolution,[status(thm)],[6674, 6656, 874])).
% 8.17/5.71 tff(6676,plain,
% 8.17/5.71 ((~v1(constB67)) <=> (~v1(constB67))),
% 8.17/5.71 inference(rewrite,[status(thm)],[])).
% 8.17/5.71 tff(6677,axiom,(~v1(constB67)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_67')).
% 8.17/5.71 tff(6678,plain,
% 8.17/5.71 (~v1(constB67)),
% 8.17/5.71 inference(modus_ponens,[status(thm)],[6677, 6676])).
% 8.17/5.71 tff(6679,plain,
% 8.17/5.71 ((~(v98(constB68) <=> v1(constB67))) | (~v98(constB68)) | v1(constB67)),
% 8.17/5.71 inference(tautology,[status(thm)],[])).
% 8.17/5.71 tff(6680,plain,
% 8.17/5.71 ((~(v98(constB68) <=> v1(constB67))) | (~v98(constB68))),
% 8.17/5.71 inference(unit_resolution,[status(thm)],[6679, 6678])).
% 8.17/5.71 tff(6681,plain,
% 8.17/5.71 (~v98(constB68)),
% 8.17/5.71 inference(unit_resolution,[status(thm)],[6680, 6675])).
% 8.17/5.71 tff(6682,plain,
% 8.17/5.71 ((~((~v96(constB68)) <=> v98(constB68))) | v96(constB68) | v98(constB68)),
% 8.17/5.71 inference(tautology,[status(thm)],[])).
% 8.17/5.71 tff(6683,plain,
% 8.17/5.71 (v96(constB68)),
% 8.17/5.71 inference(unit_resolution,[status(thm)],[6682, 6681, 6671])).
% 8.17/5.71 tff(6684,plain,
% 8.17/5.71 (v1(constB68) <=> v1(constB68)),
% 8.17/5.71 inference(rewrite,[status(thm)],[])).
% 8.17/5.71 tff(6685,axiom,(v1(constB68)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_68')).
% 8.17/5.71 tff(6686,plain,
% 8.17/5.71 (v1(constB68)),
% 8.17/5.71 inference(modus_ponens,[status(thm)],[6685, 6684])).
% 8.17/5.71 tff(6687,plain,
% 8.17/5.71 ((~((~v1(constB68)) | (~v96(constB68)))) | (~v1(constB68)) | (~v96(constB68))),
% 8.17/5.71 inference(tautology,[status(thm)],[])).
% 8.17/5.71 tff(6688,plain,
% 8.17/5.71 ((~((~v1(constB68)) | (~v96(constB68)))) | (~v96(constB68))),
% 8.17/5.71 inference(unit_resolution,[status(thm)],[6687, 6686])).
% 8.17/5.71 tff(6689,plain,
% 8.17/5.71 (~((~v1(constB68)) | (~v96(constB68)))),
% 8.17/5.71 inference(unit_resolution,[status(thm)],[6688, 6683])).
% 8.17/5.71 tff(6690,plain,
% 8.17/5.71 ((~(v95(constB68) <=> (~((~v1(constB68)) | (~v96(constB68)))))) | v95(constB68) | ((~v1(constB68)) | (~v96(constB68)))),
% 8.17/5.71 inference(tautology,[status(thm)],[])).
% 8.17/5.71 tff(6691,plain,
% 8.17/5.71 (v95(constB68)),
% 8.17/5.71 inference(unit_resolution,[status(thm)],[6690, 6689, 6667])).
% 8.17/5.71 tff(6692,plain,
% 8.17/5.71 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB67, constB68)) | (v104(constB68) <=> v102(constB67)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB67, constB68)) | (v104(constB68) <=> v102(constB67)))),
% 8.17/5.71 inference(rewrite,[status(thm)],[])).
% 8.17/5.71 tff(6693,plain,
% 8.17/5.71 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB67, constB68)) | (v104(constB68) <=> v102(constB67)))),
% 8.17/5.71 inference(quant_inst,[status(thm)],[])).
% 8.17/5.71 tff(6694,plain,
% 8.17/5.71 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB67, constB68)) | (v104(constB68) <=> v102(constB67))),
% 8.17/5.71 inference(modus_ponens,[status(thm)],[6693, 6692])).
% 8.17/5.71 tff(6695,plain,
% 8.17/5.71 (v104(constB68) <=> v102(constB67)),
% 8.17/5.71 inference(unit_resolution,[status(thm)],[6694, 6656, 904])).
% 8.17/5.71 tff(6696,plain,
% 8.17/5.71 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB67) <=> (v105(constB67) | v106(constB67)))),
% 8.17/5.71 inference(quant_inst,[status(thm)],[])).
% 8.17/5.71 tff(6697,plain,
% 8.17/5.71 (v102(constB67) <=> (v105(constB67) | v106(constB67))),
% 8.17/5.71 inference(unit_resolution,[status(thm)],[6696, 915])).
% 8.17/5.71 tff(6698,plain,
% 8.17/5.71 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB67) <=> (~((~v107(constB67)) | (~v120(constB67)))))),
% 8.17/5.71 inference(quant_inst,[status(thm)],[])).
% 8.17/5.71 tff(6699,plain,
% 8.17/5.71 (v106(constB67) <=> (~((~v107(constB67)) | (~v120(constB67))))),
% 8.17/5.71 inference(unit_resolution,[status(thm)],[6698, 927])).
% 8.17/5.71 tff(6700,plain,
% 8.17/5.71 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB67) <=> (v108(constB67) | v119(constB67)))),
% 8.17/5.71 inference(quant_inst,[status(thm)],[])).
% 8.17/5.71 tff(6701,plain,
% 8.17/5.71 (v107(constB67) <=> (v108(constB67) | v119(constB67))),
% 8.17/5.71 inference(unit_resolution,[status(thm)],[6700, 936])).
% 8.17/5.71 tff(6702,plain,
% 8.17/5.71 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB67) <=> (v109(constB67) | v118(constB67)))),
% 8.17/5.71 inference(quant_inst,[status(thm)],[])).
% 8.17/5.71 tff(6703,plain,
% 8.17/5.71 (v108(constB67) <=> (v109(constB67) | v118(constB67))),
% 8.17/5.71 inference(unit_resolution,[status(thm)],[6702, 945])).
% 8.17/5.71 tff(6704,plain,
% 8.17/5.71 ((~![VarCurr: $i] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB67) <=> (v110(constB67) | v117(constB67)))),
% 8.17/5.71 inference(quant_inst,[status(thm)],[])).
% 8.17/5.71 tff(6705,plain,
% 8.17/5.71 (v109(constB67) <=> (v110(constB67) | v117(constB67))),
% 8.17/5.71 inference(unit_resolution,[status(thm)],[6704, 1056])).
% 8.17/5.71 tff(6706,plain,
% 8.17/5.71 ((~![VarCurr: $i] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB67) <=> (v111(constB67) | v116(constB67)))),
% 8.17/5.71 inference(quant_inst,[status(thm)],[])).
% 8.17/5.71 tff(6707,plain,
% 8.17/5.71 (v110(constB67) <=> (v111(constB67) | v116(constB67))),
% 8.17/5.71 inference(unit_resolution,[status(thm)],[6706, 1169])).
% 8.17/5.71 tff(6708,plain,
% 8.17/5.71 ((~![VarCurr: $i] : (v116(VarCurr) <=> (~(v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex0)))))) | (v116(constB67) <=> (~(v84(constB67, bitIndex2) | (~v84(constB67, bitIndex1)) | (~v84(constB67, bitIndex0)))))),
% 8.17/5.71 inference(quant_inst,[status(thm)],[])).
% 8.17/5.71 tff(6709,plain,
% 8.17/5.71 (v116(constB67) <=> (~(v84(constB67, bitIndex2) | (~v84(constB67, bitIndex1)) | (~v84(constB67, bitIndex0))))),
% 8.17/5.71 inference(unit_resolution,[status(thm)],[6708, 1184])).
% 8.17/5.71 tff(6710,plain,
% 8.17/5.71 (nextState(constB66, constB67) <=> nextState(constB66, constB67)),
% 8.17/5.71 inference(rewrite,[status(thm)],[])).
% 8.17/5.71 tff(6711,axiom,(nextState(constB66, constB67)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_66')).
% 8.17/5.71 tff(6712,plain,
% 8.17/5.71 (nextState(constB66, constB67)),
% 8.17/5.71 inference(modus_ponens,[status(thm)],[6711, 6710])).
% 8.17/5.71 tff(6713,plain,
% 8.17/5.71 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB66, constB67)) | (v94(constB67) <=> (~((~v104(constB67)) | (~v95(constB67))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB66, constB67)) | (v94(constB67) <=> (~((~v104(constB67)) | (~v95(constB67))))))),
% 8.17/5.71 inference(rewrite,[status(thm)],[])).
% 8.17/5.71 tff(6714,plain,
% 8.17/5.71 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB66, constB67)) | (v94(constB67) <=> (~((~v104(constB67)) | (~v95(constB67))))))),
% 8.17/5.71 inference(quant_inst,[status(thm)],[])).
% 8.17/5.71 tff(6715,plain,
% 8.17/5.71 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB66, constB67)) | (v94(constB67) <=> (~((~v104(constB67)) | (~v95(constB67)))))),
% 8.17/5.71 inference(modus_ponens,[status(thm)],[6714, 6713])).
% 8.17/5.71 tff(6716,plain,
% 8.17/5.71 (v94(constB67) <=> (~((~v104(constB67)) | (~v95(constB67))))),
% 8.17/5.71 inference(unit_resolution,[status(thm)],[6715, 6712, 775])).
% 8.17/5.71 tff(6717,plain,
% 8.17/5.71 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB66, constB67)) | (v95(constB67) <=> (~((~v1(constB67)) | (~v96(constB67))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB66, constB67)) | (v95(constB67) <=> (~((~v1(constB67)) | (~v96(constB67))))))),
% 8.17/5.71 inference(rewrite,[status(thm)],[])).
% 8.17/5.71 tff(6718,plain,
% 8.17/5.71 (((~nextState(constB66, constB67)) | (v95(constB67) <=> (~((~v96(constB67)) | (~v1(constB67)))))) <=> ((~nextState(constB66, constB67)) | (v95(constB67) <=> (~((~v1(constB67)) | (~v96(constB67))))))),
% 8.17/5.71 inference(rewrite,[status(thm)],[])).
% 8.17/5.71 tff(6719,plain,
% 8.17/5.71 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB66, constB67)) | (v95(constB67) <=> (~((~v96(constB67)) | (~v1(constB67))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB66, constB67)) | (v95(constB67) <=> (~((~v1(constB67)) | (~v96(constB67)))))))),
% 8.17/5.71 inference(monotonicity,[status(thm)],[6718])).
% 8.17/5.71 tff(6720,plain,
% 8.17/5.71 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB66, constB67)) | (v95(constB67) <=> (~((~v96(constB67)) | (~v1(constB67))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB66, constB67)) | (v95(constB67) <=> (~((~v1(constB67)) | (~v96(constB67))))))),
% 8.17/5.71 inference(transitivity,[status(thm)],[6719, 6717])).
% 8.17/5.71 tff(6721,plain,
% 8.17/5.71 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB66, constB67)) | (v95(constB67) <=> (~((~v96(constB67)) | (~v1(constB67))))))),
% 8.17/5.71 inference(quant_inst,[status(thm)],[])).
% 8.17/5.71 tff(6722,plain,
% 8.17/5.71 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB66, constB67)) | (v95(constB67) <=> (~((~v1(constB67)) | (~v96(constB67)))))),
% 8.17/5.71 inference(modus_ponens,[status(thm)],[6721, 6720])).
% 8.17/5.71 tff(6723,plain,
% 8.17/5.71 (v95(constB67) <=> (~((~v1(constB67)) | (~v96(constB67))))),
% 8.17/5.71 inference(unit_resolution,[status(thm)],[6722, 6712, 795])).
% 8.17/5.71 tff(6724,plain,
% 8.17/5.71 (((~v1(constB67)) | (~v96(constB67))) | v1(constB67)),
% 8.17/5.71 inference(tautology,[status(thm)],[])).
% 8.17/5.71 tff(6725,plain,
% 8.17/5.71 ((~v1(constB67)) | (~v96(constB67))),
% 8.17/5.71 inference(unit_resolution,[status(thm)],[6724, 6678])).
% 8.17/5.71 tff(6726,plain,
% 8.17/5.71 ((~(v95(constB67) <=> (~((~v1(constB67)) | (~v96(constB67)))))) | (~v95(constB67)) | (~((~v1(constB67)) | (~v96(constB67))))),
% 8.17/5.71 inference(tautology,[status(thm)],[])).
% 8.17/5.71 tff(6727,plain,
% 8.17/5.71 ((~(v95(constB67) <=> (~((~v1(constB67)) | (~v96(constB67)))))) | (~v95(constB67))),
% 8.17/5.71 inference(unit_resolution,[status(thm)],[6726, 6725])).
% 8.17/5.71 tff(6728,plain,
% 8.17/5.71 (~v95(constB67)),
% 8.17/5.71 inference(unit_resolution,[status(thm)],[6727, 6723])).
% 8.17/5.71 tff(6729,plain,
% 8.17/5.71 (((~v104(constB67)) | (~v95(constB67))) | v95(constB67)),
% 8.17/5.71 inference(tautology,[status(thm)],[])).
% 8.17/5.71 tff(6730,plain,
% 8.17/5.71 ((~v104(constB67)) | (~v95(constB67))),
% 8.17/5.71 inference(unit_resolution,[status(thm)],[6729, 6728])).
% 8.17/5.71 tff(6731,plain,
% 8.17/5.71 ((~(v94(constB67) <=> (~((~v104(constB67)) | (~v95(constB67)))))) | (~v94(constB67)) | (~((~v104(constB67)) | (~v95(constB67))))),
% 8.17/5.71 inference(tautology,[status(thm)],[])).
% 8.17/5.71 tff(6732,plain,
% 8.17/5.71 (~v94(constB67)),
% 8.17/5.71 inference(unit_resolution,[status(thm)],[6731, 6730, 6716])).
% 8.17/5.71 tff(6733,plain,
% 8.17/5.71 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB67) | (~nextState(constB66, constB67)) | ![B: $i] : ((~less_3(B)) | (v84(constB67, B) <=> v84(constB66, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB67) | (~nextState(constB66, constB67)) | ![B: $i] : ((~less_3(B)) | (v84(constB67, B) <=> v84(constB66, B))))),
% 8.17/5.71 inference(rewrite,[status(thm)],[])).
% 8.17/5.71 tff(6734,plain,
% 8.17/5.71 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB67) | (~nextState(constB66, constB67)) | ![B: $i] : ((~less_3(B)) | (v84(constB67, B) <=> v84(constB66, B))))),
% 8.17/5.71 inference(quant_inst,[status(thm)],[])).
% 8.17/5.71 tff(6735,plain,
% 8.17/5.71 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB67) | (~nextState(constB66, constB67)) | ![B: $i] : ((~less_3(B)) | (v84(constB67, B) <=> v84(constB66, B)))),
% 8.17/5.71 inference(modus_ponens,[status(thm)],[6734, 6733])).
% 8.17/5.71 tff(6736,plain,
% 8.17/5.71 (v94(constB67) | ![B: $i] : ((~less_3(B)) | (v84(constB67, B) <=> v84(constB66, B)))),
% 8.17/5.71 inference(unit_resolution,[status(thm)],[6735, 6712, 824])).
% 8.17/5.71 tff(6737,plain,
% 8.17/5.71 (![B: $i] : ((~less_3(B)) | (v84(constB67, B) <=> v84(constB66, B)))),
% 8.17/5.71 inference(unit_resolution,[status(thm)],[6736, 6732])).
% 8.17/5.71 tff(6738,plain,
% 8.17/5.71 (((~![B: $i] : ((~less_3(B)) | (v84(constB67, B) <=> v84(constB66, B)))) | ((~less_3(bitIndex2)) | (v84(constB67, bitIndex2) <=> v84(constB66, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB67, B) <=> v84(constB66, B)))) | (~less_3(bitIndex2)) | (v84(constB67, bitIndex2) <=> v84(constB66, bitIndex2)))),
% 8.17/5.71 inference(rewrite,[status(thm)],[])).
% 8.17/5.71 tff(6739,plain,
% 8.17/5.71 ((~![B: $i] : ((~less_3(B)) | (v84(constB67, B) <=> v84(constB66, B)))) | ((~less_3(bitIndex2)) | (v84(constB67, bitIndex2) <=> v84(constB66, bitIndex2)))),
% 8.17/5.71 inference(quant_inst,[status(thm)],[])).
% 8.17/5.71 tff(6740,plain,
% 8.17/5.71 ((~![B: $i] : ((~less_3(B)) | (v84(constB67, B) <=> v84(constB66, B)))) | (~less_3(bitIndex2)) | (v84(constB67, bitIndex2) <=> v84(constB66, bitIndex2))),
% 8.17/5.71 inference(modus_ponens,[status(thm)],[6739, 6738])).
% 8.17/5.71 tff(6741,plain,
% 8.17/5.71 (v84(constB67, bitIndex2) <=> v84(constB66, bitIndex2)),
% 8.17/5.71 inference(unit_resolution,[status(thm)],[6740, 832, 6737])).
% 8.17/5.71 tff(6742,plain,
% 8.17/5.71 (nextState(constB65, constB66) <=> nextState(constB65, constB66)),
% 8.17/5.71 inference(rewrite,[status(thm)],[])).
% 8.17/5.71 tff(6743,axiom,(nextState(constB65, constB66)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_65')).
% 8.17/5.71 tff(6744,plain,
% 8.17/5.71 (nextState(constB65, constB66)),
% 8.17/5.71 inference(modus_ponens,[status(thm)],[6743, 6742])).
% 8.17/5.71 tff(6745,plain,
% 8.17/5.71 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB65, constB66)) | (v94(constB66) <=> (~((~v104(constB66)) | (~v95(constB66))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB65, constB66)) | (v94(constB66) <=> (~((~v104(constB66)) | (~v95(constB66))))))),
% 8.17/5.71 inference(rewrite,[status(thm)],[])).
% 8.17/5.71 tff(6746,plain,
% 8.17/5.71 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB65, constB66)) | (v94(constB66) <=> (~((~v104(constB66)) | (~v95(constB66))))))),
% 8.17/5.71 inference(quant_inst,[status(thm)],[])).
% 8.17/5.71 tff(6747,plain,
% 8.17/5.71 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB65, constB66)) | (v94(constB66) <=> (~((~v104(constB66)) | (~v95(constB66)))))),
% 8.17/5.71 inference(modus_ponens,[status(thm)],[6746, 6745])).
% 8.17/5.71 tff(6748,plain,
% 8.17/5.71 (v94(constB66) <=> (~((~v104(constB66)) | (~v95(constB66))))),
% 8.17/5.71 inference(unit_resolution,[status(thm)],[6747, 6744, 775])).
% 8.17/5.71 tff(6749,plain,
% 8.17/5.71 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB65, constB66)) | (v95(constB66) <=> (~((~v1(constB66)) | (~v96(constB66))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB65, constB66)) | (v95(constB66) <=> (~((~v1(constB66)) | (~v96(constB66))))))),
% 8.17/5.71 inference(rewrite,[status(thm)],[])).
% 8.17/5.71 tff(6750,plain,
% 8.17/5.71 (((~nextState(constB65, constB66)) | (v95(constB66) <=> (~((~v96(constB66)) | (~v1(constB66)))))) <=> ((~nextState(constB65, constB66)) | (v95(constB66) <=> (~((~v1(constB66)) | (~v96(constB66))))))),
% 8.17/5.71 inference(rewrite,[status(thm)],[])).
% 8.17/5.71 tff(6751,plain,
% 8.17/5.71 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB65, constB66)) | (v95(constB66) <=> (~((~v96(constB66)) | (~v1(constB66))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB65, constB66)) | (v95(constB66) <=> (~((~v1(constB66)) | (~v96(constB66)))))))),
% 8.17/5.71 inference(monotonicity,[status(thm)],[6750])).
% 8.17/5.71 tff(6752,plain,
% 8.17/5.71 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB65, constB66)) | (v95(constB66) <=> (~((~v96(constB66)) | (~v1(constB66))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB65, constB66)) | (v95(constB66) <=> (~((~v1(constB66)) | (~v96(constB66))))))),
% 8.17/5.71 inference(transitivity,[status(thm)],[6751, 6749])).
% 8.17/5.71 tff(6753,plain,
% 8.17/5.71 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB65, constB66)) | (v95(constB66) <=> (~((~v96(constB66)) | (~v1(constB66))))))),
% 8.17/5.71 inference(quant_inst,[status(thm)],[])).
% 8.17/5.71 tff(6754,plain,
% 8.17/5.71 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB65, constB66)) | (v95(constB66) <=> (~((~v1(constB66)) | (~v96(constB66)))))),
% 8.17/5.72 inference(modus_ponens,[status(thm)],[6753, 6752])).
% 8.17/5.72 tff(6755,plain,
% 8.17/5.72 (v95(constB66) <=> (~((~v1(constB66)) | (~v96(constB66))))),
% 8.17/5.72 inference(unit_resolution,[status(thm)],[6754, 6744, 795])).
% 8.17/5.72 tff(6756,plain,
% 8.17/5.72 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB65, constB66)) | ((~v96(constB66)) <=> v98(constB66)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB65, constB66)) | ((~v96(constB66)) <=> v98(constB66)))),
% 8.17/5.72 inference(rewrite,[status(thm)],[])).
% 8.17/5.72 tff(6757,plain,
% 8.17/5.72 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB65, constB66)) | ((~v96(constB66)) <=> v98(constB66)))),
% 8.17/5.72 inference(quant_inst,[status(thm)],[])).
% 8.17/5.72 tff(6758,plain,
% 8.17/5.72 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB65, constB66)) | ((~v96(constB66)) <=> v98(constB66))),
% 8.17/5.72 inference(modus_ponens,[status(thm)],[6757, 6756])).
% 8.17/5.72 tff(6759,plain,
% 8.17/5.72 ((~v96(constB66)) <=> v98(constB66)),
% 8.17/5.72 inference(unit_resolution,[status(thm)],[6758, 6744, 860])).
% 8.17/5.72 tff(6760,plain,
% 8.17/5.72 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB65, constB66)) | (v98(constB66) <=> v1(constB65)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB65, constB66)) | (v98(constB66) <=> v1(constB65)))),
% 8.17/5.72 inference(rewrite,[status(thm)],[])).
% 8.17/5.72 tff(6761,plain,
% 8.17/5.72 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB65, constB66)) | (v98(constB66) <=> v1(constB65)))),
% 8.17/5.72 inference(quant_inst,[status(thm)],[])).
% 8.17/5.72 tff(6762,plain,
% 8.17/5.72 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB65, constB66)) | (v98(constB66) <=> v1(constB65))),
% 8.17/5.72 inference(modus_ponens,[status(thm)],[6761, 6760])).
% 8.17/5.72 tff(6763,plain,
% 8.17/5.72 (v98(constB66) <=> v1(constB65)),
% 8.17/5.72 inference(unit_resolution,[status(thm)],[6762, 6744, 874])).
% 8.17/5.72 tff(6764,plain,
% 8.17/5.72 ((~v1(constB65)) <=> (~v1(constB65))),
% 8.17/5.72 inference(rewrite,[status(thm)],[])).
% 8.17/5.72 tff(6765,axiom,(~v1(constB65)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_65')).
% 8.17/5.72 tff(6766,plain,
% 8.17/5.72 (~v1(constB65)),
% 8.17/5.72 inference(modus_ponens,[status(thm)],[6765, 6764])).
% 8.17/5.72 tff(6767,plain,
% 8.17/5.72 ((~(v98(constB66) <=> v1(constB65))) | (~v98(constB66)) | v1(constB65)),
% 8.17/5.72 inference(tautology,[status(thm)],[])).
% 8.17/5.72 tff(6768,plain,
% 8.17/5.72 ((~(v98(constB66) <=> v1(constB65))) | (~v98(constB66))),
% 8.17/5.72 inference(unit_resolution,[status(thm)],[6767, 6766])).
% 8.17/5.72 tff(6769,plain,
% 8.17/5.72 (~v98(constB66)),
% 8.17/5.72 inference(unit_resolution,[status(thm)],[6768, 6763])).
% 8.17/5.72 tff(6770,plain,
% 8.17/5.72 ((~((~v96(constB66)) <=> v98(constB66))) | v96(constB66) | v98(constB66)),
% 8.17/5.72 inference(tautology,[status(thm)],[])).
% 8.17/5.72 tff(6771,plain,
% 8.17/5.72 (v96(constB66)),
% 8.17/5.72 inference(unit_resolution,[status(thm)],[6770, 6769, 6759])).
% 8.17/5.72 tff(6772,plain,
% 8.17/5.72 (v1(constB66) <=> v1(constB66)),
% 8.17/5.72 inference(rewrite,[status(thm)],[])).
% 8.17/5.72 tff(6773,axiom,(v1(constB66)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_66')).
% 8.17/5.72 tff(6774,plain,
% 8.17/5.72 (v1(constB66)),
% 8.17/5.72 inference(modus_ponens,[status(thm)],[6773, 6772])).
% 8.17/5.72 tff(6775,plain,
% 8.17/5.72 ((~((~v1(constB66)) | (~v96(constB66)))) | (~v1(constB66)) | (~v96(constB66))),
% 8.17/5.72 inference(tautology,[status(thm)],[])).
% 8.17/5.72 tff(6776,plain,
% 8.17/5.72 ((~((~v1(constB66)) | (~v96(constB66)))) | (~v96(constB66))),
% 8.17/5.72 inference(unit_resolution,[status(thm)],[6775, 6774])).
% 8.17/5.72 tff(6777,plain,
% 8.17/5.72 (~((~v1(constB66)) | (~v96(constB66)))),
% 8.17/5.72 inference(unit_resolution,[status(thm)],[6776, 6771])).
% 8.17/5.72 tff(6778,plain,
% 8.17/5.72 ((~(v95(constB66) <=> (~((~v1(constB66)) | (~v96(constB66)))))) | v95(constB66) | ((~v1(constB66)) | (~v96(constB66)))),
% 8.17/5.72 inference(tautology,[status(thm)],[])).
% 8.17/5.72 tff(6779,plain,
% 8.17/5.72 (v95(constB66)),
% 8.17/5.72 inference(unit_resolution,[status(thm)],[6778, 6777, 6755])).
% 8.17/5.72 tff(6780,plain,
% 8.17/5.72 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB65, constB66)) | (v104(constB66) <=> v102(constB65)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB65, constB66)) | (v104(constB66) <=> v102(constB65)))),
% 8.17/5.72 inference(rewrite,[status(thm)],[])).
% 8.17/5.72 tff(6781,plain,
% 8.17/5.72 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB65, constB66)) | (v104(constB66) <=> v102(constB65)))),
% 8.17/5.72 inference(quant_inst,[status(thm)],[])).
% 8.17/5.72 tff(6782,plain,
% 8.17/5.72 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB65, constB66)) | (v104(constB66) <=> v102(constB65))),
% 8.17/5.72 inference(modus_ponens,[status(thm)],[6781, 6780])).
% 8.17/5.72 tff(6783,plain,
% 8.17/5.72 (v104(constB66) <=> v102(constB65)),
% 8.17/5.72 inference(unit_resolution,[status(thm)],[6782, 6744, 904])).
% 8.17/5.72 tff(6784,plain,
% 8.17/5.72 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB65) <=> (v105(constB65) | v106(constB65)))),
% 8.17/5.72 inference(quant_inst,[status(thm)],[])).
% 8.17/5.72 tff(6785,plain,
% 8.17/5.72 (v102(constB65) <=> (v105(constB65) | v106(constB65))),
% 8.17/5.72 inference(unit_resolution,[status(thm)],[6784, 915])).
% 8.17/5.72 tff(6786,plain,
% 8.17/5.72 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB65) <=> (~((~v107(constB65)) | (~v120(constB65)))))),
% 8.17/5.72 inference(quant_inst,[status(thm)],[])).
% 8.17/5.72 tff(6787,plain,
% 8.17/5.72 (v106(constB65) <=> (~((~v107(constB65)) | (~v120(constB65))))),
% 8.17/5.72 inference(unit_resolution,[status(thm)],[6786, 927])).
% 8.17/5.72 tff(6788,plain,
% 8.17/5.72 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB65) <=> (v108(constB65) | v119(constB65)))),
% 8.17/5.72 inference(quant_inst,[status(thm)],[])).
% 8.17/5.72 tff(6789,plain,
% 8.17/5.72 (v107(constB65) <=> (v108(constB65) | v119(constB65))),
% 8.17/5.72 inference(unit_resolution,[status(thm)],[6788, 936])).
% 8.17/5.72 tff(6790,plain,
% 8.17/5.72 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB65) <=> (v109(constB65) | v118(constB65)))),
% 8.17/5.72 inference(quant_inst,[status(thm)],[])).
% 8.17/5.72 tff(6791,plain,
% 8.17/5.72 (v108(constB65) <=> (v109(constB65) | v118(constB65))),
% 8.17/5.72 inference(unit_resolution,[status(thm)],[6790, 945])).
% 8.17/5.72 tff(6792,plain,
% 8.17/5.72 ((~![VarCurr: $i] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB65) <=> (v110(constB65) | v117(constB65)))),
% 8.17/5.72 inference(quant_inst,[status(thm)],[])).
% 8.17/5.72 tff(6793,plain,
% 8.17/5.72 (v109(constB65) <=> (v110(constB65) | v117(constB65))),
% 8.17/5.72 inference(unit_resolution,[status(thm)],[6792, 1056])).
% 8.17/5.72 tff(6794,plain,
% 8.17/5.72 ((~![VarCurr: $i] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB65) <=> (v111(constB65) | v116(constB65)))),
% 8.17/5.72 inference(quant_inst,[status(thm)],[])).
% 8.17/5.72 tff(6795,plain,
% 8.17/5.72 (v110(constB65) <=> (v111(constB65) | v116(constB65))),
% 8.17/5.72 inference(unit_resolution,[status(thm)],[6794, 1169])).
% 8.17/5.72 tff(6796,plain,
% 8.17/5.72 ((~![VarCurr: $i] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB65) <=> (v112(constB65) | v115(constB65)))),
% 8.17/5.72 inference(quant_inst,[status(thm)],[])).
% 8.17/5.72 tff(6797,plain,
% 8.17/5.72 (v111(constB65) <=> (v112(constB65) | v115(constB65))),
% 8.17/5.72 inference(unit_resolution,[status(thm)],[6796, 1279])).
% 8.17/5.72 tff(6798,plain,
% 8.17/5.72 (((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB65) <=> (~(v84(constB65, bitIndex2) | (~v84(constB65, bitIndex1)) | v84(constB65, bitIndex0))))) <=> ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB65) <=> (~(v84(constB65, bitIndex2) | (~v84(constB65, bitIndex1)) | v84(constB65, bitIndex0)))))),
% 8.17/5.72 inference(rewrite,[status(thm)],[])).
% 8.17/5.72 tff(6799,plain,
% 8.17/5.72 ((v115(constB65) <=> (~(v84(constB65, bitIndex0) | v84(constB65, bitIndex2) | (~v84(constB65, bitIndex1))))) <=> (v115(constB65) <=> (~(v84(constB65, bitIndex2) | (~v84(constB65, bitIndex1)) | v84(constB65, bitIndex0))))),
% 8.17/5.72 inference(rewrite,[status(thm)],[])).
% 8.17/5.72 tff(6800,plain,
% 8.17/5.72 (((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB65) <=> (~(v84(constB65, bitIndex0) | v84(constB65, bitIndex2) | (~v84(constB65, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB65) <=> (~(v84(constB65, bitIndex2) | (~v84(constB65, bitIndex1)) | v84(constB65, bitIndex0)))))),
% 8.17/5.72 inference(monotonicity,[status(thm)],[6799])).
% 8.17/5.72 tff(6801,plain,
% 8.17/5.72 (((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB65) <=> (~(v84(constB65, bitIndex0) | v84(constB65, bitIndex2) | (~v84(constB65, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB65) <=> (~(v84(constB65, bitIndex2) | (~v84(constB65, bitIndex1)) | v84(constB65, bitIndex0)))))),
% 8.17/5.72 inference(transitivity,[status(thm)],[6800, 6798])).
% 8.17/5.72 tff(6802,plain,
% 8.17/5.72 ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB65) <=> (~(v84(constB65, bitIndex0) | v84(constB65, bitIndex2) | (~v84(constB65, bitIndex1)))))),
% 8.17/5.72 inference(quant_inst,[status(thm)],[])).
% 8.17/5.72 tff(6803,plain,
% 8.17/5.72 ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB65) <=> (~(v84(constB65, bitIndex2) | (~v84(constB65, bitIndex1)) | v84(constB65, bitIndex0))))),
% 8.17/5.72 inference(modus_ponens,[status(thm)],[6802, 6801])).
% 8.17/5.72 tff(6804,plain,
% 8.17/5.72 (v115(constB65) <=> (~(v84(constB65, bitIndex2) | (~v84(constB65, bitIndex1)) | v84(constB65, bitIndex0)))),
% 8.17/5.72 inference(unit_resolution,[status(thm)],[6803, 1294])).
% 8.17/5.72 tff(6805,plain,
% 8.17/5.72 (nextState(constB64, constB65) <=> nextState(constB64, constB65)),
% 8.17/5.72 inference(rewrite,[status(thm)],[])).
% 8.17/5.72 tff(6806,axiom,(nextState(constB64, constB65)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_64')).
% 8.17/5.72 tff(6807,plain,
% 8.17/5.72 (nextState(constB64, constB65)),
% 8.17/5.72 inference(modus_ponens,[status(thm)],[6806, 6805])).
% 8.17/5.72 tff(6808,plain,
% 8.17/5.72 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB64, constB65)) | (v94(constB65) <=> (~((~v104(constB65)) | (~v95(constB65))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB64, constB65)) | (v94(constB65) <=> (~((~v104(constB65)) | (~v95(constB65))))))),
% 8.17/5.72 inference(rewrite,[status(thm)],[])).
% 8.17/5.72 tff(6809,plain,
% 8.17/5.72 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB64, constB65)) | (v94(constB65) <=> (~((~v104(constB65)) | (~v95(constB65))))))),
% 8.17/5.72 inference(quant_inst,[status(thm)],[])).
% 8.17/5.72 tff(6810,plain,
% 8.17/5.72 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB64, constB65)) | (v94(constB65) <=> (~((~v104(constB65)) | (~v95(constB65)))))),
% 8.17/5.72 inference(modus_ponens,[status(thm)],[6809, 6808])).
% 8.17/5.72 tff(6811,plain,
% 8.17/5.72 (v94(constB65) <=> (~((~v104(constB65)) | (~v95(constB65))))),
% 8.17/5.72 inference(unit_resolution,[status(thm)],[6810, 6807, 775])).
% 8.17/5.72 tff(6812,plain,
% 8.17/5.72 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB64, constB65)) | (v95(constB65) <=> (~((~v1(constB65)) | (~v96(constB65))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB64, constB65)) | (v95(constB65) <=> (~((~v1(constB65)) | (~v96(constB65))))))),
% 8.17/5.72 inference(rewrite,[status(thm)],[])).
% 8.17/5.72 tff(6813,plain,
% 8.17/5.72 (((~nextState(constB64, constB65)) | (v95(constB65) <=> (~((~v96(constB65)) | (~v1(constB65)))))) <=> ((~nextState(constB64, constB65)) | (v95(constB65) <=> (~((~v1(constB65)) | (~v96(constB65))))))),
% 8.17/5.72 inference(rewrite,[status(thm)],[])).
% 8.17/5.72 tff(6814,plain,
% 8.17/5.72 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB64, constB65)) | (v95(constB65) <=> (~((~v96(constB65)) | (~v1(constB65))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB64, constB65)) | (v95(constB65) <=> (~((~v1(constB65)) | (~v96(constB65)))))))),
% 8.17/5.72 inference(monotonicity,[status(thm)],[6813])).
% 8.17/5.72 tff(6815,plain,
% 8.17/5.72 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB64, constB65)) | (v95(constB65) <=> (~((~v96(constB65)) | (~v1(constB65))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB64, constB65)) | (v95(constB65) <=> (~((~v1(constB65)) | (~v96(constB65))))))),
% 8.17/5.72 inference(transitivity,[status(thm)],[6814, 6812])).
% 8.17/5.72 tff(6816,plain,
% 8.17/5.72 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB64, constB65)) | (v95(constB65) <=> (~((~v96(constB65)) | (~v1(constB65))))))),
% 8.17/5.72 inference(quant_inst,[status(thm)],[])).
% 8.17/5.72 tff(6817,plain,
% 8.17/5.72 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB64, constB65)) | (v95(constB65) <=> (~((~v1(constB65)) | (~v96(constB65)))))),
% 8.17/5.72 inference(modus_ponens,[status(thm)],[6816, 6815])).
% 8.17/5.72 tff(6818,plain,
% 8.17/5.72 (v95(constB65) <=> (~((~v1(constB65)) | (~v96(constB65))))),
% 8.17/5.72 inference(unit_resolution,[status(thm)],[6817, 6807, 795])).
% 8.17/5.72 tff(6819,plain,
% 8.17/5.72 (((~v1(constB65)) | (~v96(constB65))) | v1(constB65)),
% 8.17/5.72 inference(tautology,[status(thm)],[])).
% 8.17/5.72 tff(6820,plain,
% 8.17/5.72 ((~v1(constB65)) | (~v96(constB65))),
% 8.17/5.72 inference(unit_resolution,[status(thm)],[6819, 6766])).
% 8.17/5.72 tff(6821,plain,
% 8.17/5.72 ((~(v95(constB65) <=> (~((~v1(constB65)) | (~v96(constB65)))))) | (~v95(constB65)) | (~((~v1(constB65)) | (~v96(constB65))))),
% 8.17/5.72 inference(tautology,[status(thm)],[])).
% 8.17/5.72 tff(6822,plain,
% 8.17/5.72 ((~(v95(constB65) <=> (~((~v1(constB65)) | (~v96(constB65)))))) | (~v95(constB65))),
% 8.17/5.72 inference(unit_resolution,[status(thm)],[6821, 6820])).
% 8.17/5.72 tff(6823,plain,
% 8.17/5.72 (~v95(constB65)),
% 8.17/5.72 inference(unit_resolution,[status(thm)],[6822, 6818])).
% 8.17/5.72 tff(6824,plain,
% 8.17/5.72 (((~v104(constB65)) | (~v95(constB65))) | v95(constB65)),
% 8.17/5.72 inference(tautology,[status(thm)],[])).
% 8.17/5.72 tff(6825,plain,
% 8.17/5.72 ((~v104(constB65)) | (~v95(constB65))),
% 8.17/5.72 inference(unit_resolution,[status(thm)],[6824, 6823])).
% 8.17/5.72 tff(6826,plain,
% 8.17/5.72 ((~(v94(constB65) <=> (~((~v104(constB65)) | (~v95(constB65)))))) | (~v94(constB65)) | (~((~v104(constB65)) | (~v95(constB65))))),
% 8.17/5.72 inference(tautology,[status(thm)],[])).
% 8.17/5.72 tff(6827,plain,
% 8.17/5.72 (~v94(constB65)),
% 8.17/5.72 inference(unit_resolution,[status(thm)],[6826, 6825, 6811])).
% 8.17/5.72 tff(6828,plain,
% 8.17/5.72 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB65) | (~nextState(constB64, constB65)) | ![B: $i] : ((~less_3(B)) | (v84(constB65, B) <=> v84(constB64, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB65) | (~nextState(constB64, constB65)) | ![B: $i] : ((~less_3(B)) | (v84(constB65, B) <=> v84(constB64, B))))),
% 8.17/5.72 inference(rewrite,[status(thm)],[])).
% 8.17/5.72 tff(6829,plain,
% 8.17/5.72 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB65) | (~nextState(constB64, constB65)) | ![B: $i] : ((~less_3(B)) | (v84(constB65, B) <=> v84(constB64, B))))),
% 8.17/5.72 inference(quant_inst,[status(thm)],[])).
% 8.17/5.72 tff(6830,plain,
% 8.17/5.72 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB65) | (~nextState(constB64, constB65)) | ![B: $i] : ((~less_3(B)) | (v84(constB65, B) <=> v84(constB64, B)))),
% 8.17/5.72 inference(modus_ponens,[status(thm)],[6829, 6828])).
% 8.17/5.72 tff(6831,plain,
% 8.17/5.72 (v94(constB65) | ![B: $i] : ((~less_3(B)) | (v84(constB65, B) <=> v84(constB64, B)))),
% 8.17/5.72 inference(unit_resolution,[status(thm)],[6830, 6807, 824])).
% 8.17/5.72 tff(6832,plain,
% 8.17/5.72 (![B: $i] : ((~less_3(B)) | (v84(constB65, B) <=> v84(constB64, B)))),
% 8.17/5.72 inference(unit_resolution,[status(thm)],[6831, 6827])).
% 8.17/5.72 tff(6833,plain,
% 8.17/5.72 (((~![B: $i] : ((~less_3(B)) | (v84(constB65, B) <=> v84(constB64, B)))) | ((~less_3(bitIndex2)) | (v84(constB65, bitIndex2) <=> v84(constB64, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB65, B) <=> v84(constB64, B)))) | (~less_3(bitIndex2)) | (v84(constB65, bitIndex2) <=> v84(constB64, bitIndex2)))),
% 8.17/5.72 inference(rewrite,[status(thm)],[])).
% 8.17/5.72 tff(6834,plain,
% 8.17/5.72 ((~![B: $i] : ((~less_3(B)) | (v84(constB65, B) <=> v84(constB64, B)))) | ((~less_3(bitIndex2)) | (v84(constB65, bitIndex2) <=> v84(constB64, bitIndex2)))),
% 8.17/5.72 inference(quant_inst,[status(thm)],[])).
% 8.17/5.72 tff(6835,plain,
% 8.17/5.72 ((~![B: $i] : ((~less_3(B)) | (v84(constB65, B) <=> v84(constB64, B)))) | (~less_3(bitIndex2)) | (v84(constB65, bitIndex2) <=> v84(constB64, bitIndex2))),
% 8.17/5.72 inference(modus_ponens,[status(thm)],[6834, 6833])).
% 8.17/5.72 tff(6836,plain,
% 8.17/5.72 (v84(constB65, bitIndex2) <=> v84(constB64, bitIndex2)),
% 8.17/5.72 inference(unit_resolution,[status(thm)],[6835, 832, 6832])).
% 8.17/5.72 tff(6837,plain,
% 8.17/5.72 (nextState(constB63, constB64) <=> nextState(constB63, constB64)),
% 8.17/5.72 inference(rewrite,[status(thm)],[])).
% 8.17/5.72 tff(6838,axiom,(nextState(constB63, constB64)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_63')).
% 8.17/5.72 tff(6839,plain,
% 8.17/5.72 (nextState(constB63, constB64)),
% 8.17/5.72 inference(modus_ponens,[status(thm)],[6838, 6837])).
% 8.17/5.72 tff(6840,plain,
% 8.17/5.72 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB63, constB64)) | (v94(constB64) <=> (~((~v104(constB64)) | (~v95(constB64))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB63, constB64)) | (v94(constB64) <=> (~((~v104(constB64)) | (~v95(constB64))))))),
% 8.17/5.72 inference(rewrite,[status(thm)],[])).
% 8.17/5.72 tff(6841,plain,
% 8.17/5.72 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB63, constB64)) | (v94(constB64) <=> (~((~v104(constB64)) | (~v95(constB64))))))),
% 8.17/5.72 inference(quant_inst,[status(thm)],[])).
% 8.17/5.72 tff(6842,plain,
% 8.17/5.72 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB63, constB64)) | (v94(constB64) <=> (~((~v104(constB64)) | (~v95(constB64)))))),
% 8.17/5.72 inference(modus_ponens,[status(thm)],[6841, 6840])).
% 8.17/5.72 tff(6843,plain,
% 8.17/5.72 (v94(constB64) <=> (~((~v104(constB64)) | (~v95(constB64))))),
% 8.17/5.72 inference(unit_resolution,[status(thm)],[6842, 6839, 775])).
% 8.17/5.72 tff(6844,plain,
% 8.17/5.72 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB63, constB64)) | (v95(constB64) <=> (~((~v1(constB64)) | (~v96(constB64))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB63, constB64)) | (v95(constB64) <=> (~((~v1(constB64)) | (~v96(constB64))))))),
% 8.17/5.72 inference(rewrite,[status(thm)],[])).
% 8.17/5.72 tff(6845,plain,
% 8.17/5.72 (((~nextState(constB63, constB64)) | (v95(constB64) <=> (~((~v96(constB64)) | (~v1(constB64)))))) <=> ((~nextState(constB63, constB64)) | (v95(constB64) <=> (~((~v1(constB64)) | (~v96(constB64))))))),
% 8.17/5.72 inference(rewrite,[status(thm)],[])).
% 8.17/5.72 tff(6846,plain,
% 8.17/5.72 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB63, constB64)) | (v95(constB64) <=> (~((~v96(constB64)) | (~v1(constB64))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB63, constB64)) | (v95(constB64) <=> (~((~v1(constB64)) | (~v96(constB64)))))))),
% 8.17/5.72 inference(monotonicity,[status(thm)],[6845])).
% 8.17/5.72 tff(6847,plain,
% 8.17/5.72 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB63, constB64)) | (v95(constB64) <=> (~((~v96(constB64)) | (~v1(constB64))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB63, constB64)) | (v95(constB64) <=> (~((~v1(constB64)) | (~v96(constB64))))))),
% 8.17/5.72 inference(transitivity,[status(thm)],[6846, 6844])).
% 8.17/5.72 tff(6848,plain,
% 8.17/5.72 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB63, constB64)) | (v95(constB64) <=> (~((~v96(constB64)) | (~v1(constB64))))))),
% 8.17/5.72 inference(quant_inst,[status(thm)],[])).
% 8.17/5.72 tff(6849,plain,
% 8.17/5.72 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB63, constB64)) | (v95(constB64) <=> (~((~v1(constB64)) | (~v96(constB64)))))),
% 8.17/5.72 inference(modus_ponens,[status(thm)],[6848, 6847])).
% 8.17/5.72 tff(6850,plain,
% 8.17/5.72 (v95(constB64) <=> (~((~v1(constB64)) | (~v96(constB64))))),
% 8.17/5.72 inference(unit_resolution,[status(thm)],[6849, 6839, 795])).
% 8.17/5.72 tff(6851,plain,
% 8.17/5.72 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB63, constB64)) | ((~v96(constB64)) <=> v98(constB64)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB63, constB64)) | ((~v96(constB64)) <=> v98(constB64)))),
% 8.17/5.72 inference(rewrite,[status(thm)],[])).
% 8.17/5.72 tff(6852,plain,
% 8.17/5.72 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB63, constB64)) | ((~v96(constB64)) <=> v98(constB64)))),
% 8.17/5.72 inference(quant_inst,[status(thm)],[])).
% 8.17/5.72 tff(6853,plain,
% 8.17/5.72 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB63, constB64)) | ((~v96(constB64)) <=> v98(constB64))),
% 8.17/5.72 inference(modus_ponens,[status(thm)],[6852, 6851])).
% 8.17/5.72 tff(6854,plain,
% 8.17/5.72 ((~v96(constB64)) <=> v98(constB64)),
% 8.17/5.72 inference(unit_resolution,[status(thm)],[6853, 6839, 860])).
% 8.17/5.72 tff(6855,plain,
% 8.17/5.72 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB63, constB64)) | (v98(constB64) <=> v1(constB63)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB63, constB64)) | (v98(constB64) <=> v1(constB63)))),
% 8.17/5.72 inference(rewrite,[status(thm)],[])).
% 8.17/5.72 tff(6856,plain,
% 8.17/5.72 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB63, constB64)) | (v98(constB64) <=> v1(constB63)))),
% 8.17/5.72 inference(quant_inst,[status(thm)],[])).
% 8.17/5.72 tff(6857,plain,
% 8.17/5.72 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB63, constB64)) | (v98(constB64) <=> v1(constB63))),
% 8.17/5.72 inference(modus_ponens,[status(thm)],[6856, 6855])).
% 8.17/5.72 tff(6858,plain,
% 8.17/5.72 (v98(constB64) <=> v1(constB63)),
% 8.17/5.72 inference(unit_resolution,[status(thm)],[6857, 6839, 874])).
% 8.17/5.72 tff(6859,plain,
% 8.17/5.72 ((~v1(constB63)) <=> (~v1(constB63))),
% 8.17/5.72 inference(rewrite,[status(thm)],[])).
% 8.17/5.72 tff(6860,axiom,(~v1(constB63)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_63')).
% 8.17/5.72 tff(6861,plain,
% 8.17/5.72 (~v1(constB63)),
% 8.17/5.72 inference(modus_ponens,[status(thm)],[6860, 6859])).
% 8.17/5.72 tff(6862,plain,
% 8.17/5.72 ((~(v98(constB64) <=> v1(constB63))) | (~v98(constB64)) | v1(constB63)),
% 8.17/5.72 inference(tautology,[status(thm)],[])).
% 8.17/5.72 tff(6863,plain,
% 8.17/5.72 ((~(v98(constB64) <=> v1(constB63))) | (~v98(constB64))),
% 8.17/5.72 inference(unit_resolution,[status(thm)],[6862, 6861])).
% 8.17/5.72 tff(6864,plain,
% 8.17/5.72 (~v98(constB64)),
% 8.17/5.72 inference(unit_resolution,[status(thm)],[6863, 6858])).
% 8.17/5.72 tff(6865,plain,
% 8.17/5.72 ((~((~v96(constB64)) <=> v98(constB64))) | v96(constB64) | v98(constB64)),
% 8.17/5.72 inference(tautology,[status(thm)],[])).
% 8.17/5.72 tff(6866,plain,
% 8.17/5.72 (v96(constB64)),
% 8.17/5.72 inference(unit_resolution,[status(thm)],[6865, 6864, 6854])).
% 8.17/5.72 tff(6867,plain,
% 8.17/5.72 (v1(constB64) <=> v1(constB64)),
% 8.17/5.72 inference(rewrite,[status(thm)],[])).
% 8.17/5.72 tff(6868,axiom,(v1(constB64)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_64')).
% 8.17/5.72 tff(6869,plain,
% 8.17/5.72 (v1(constB64)),
% 8.17/5.72 inference(modus_ponens,[status(thm)],[6868, 6867])).
% 8.17/5.72 tff(6870,plain,
% 8.17/5.72 ((~((~v1(constB64)) | (~v96(constB64)))) | (~v1(constB64)) | (~v96(constB64))),
% 8.17/5.72 inference(tautology,[status(thm)],[])).
% 8.17/5.72 tff(6871,plain,
% 8.17/5.72 ((~((~v1(constB64)) | (~v96(constB64)))) | (~v96(constB64))),
% 8.17/5.72 inference(unit_resolution,[status(thm)],[6870, 6869])).
% 8.17/5.72 tff(6872,plain,
% 8.17/5.72 (~((~v1(constB64)) | (~v96(constB64)))),
% 8.17/5.72 inference(unit_resolution,[status(thm)],[6871, 6866])).
% 8.17/5.72 tff(6873,plain,
% 8.17/5.72 ((~(v95(constB64) <=> (~((~v1(constB64)) | (~v96(constB64)))))) | v95(constB64) | ((~v1(constB64)) | (~v96(constB64)))),
% 8.17/5.72 inference(tautology,[status(thm)],[])).
% 8.17/5.72 tff(6874,plain,
% 8.17/5.72 (v95(constB64)),
% 8.17/5.72 inference(unit_resolution,[status(thm)],[6873, 6872, 6850])).
% 8.17/5.72 tff(6875,plain,
% 8.17/5.72 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB63, constB64)) | (v104(constB64) <=> v102(constB63)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB63, constB64)) | (v104(constB64) <=> v102(constB63)))),
% 8.17/5.72 inference(rewrite,[status(thm)],[])).
% 8.17/5.72 tff(6876,plain,
% 8.17/5.72 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB63, constB64)) | (v104(constB64) <=> v102(constB63)))),
% 8.17/5.72 inference(quant_inst,[status(thm)],[])).
% 8.17/5.72 tff(6877,plain,
% 8.17/5.72 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB63, constB64)) | (v104(constB64) <=> v102(constB63))),
% 8.17/5.72 inference(modus_ponens,[status(thm)],[6876, 6875])).
% 8.17/5.72 tff(6878,plain,
% 8.17/5.72 (v104(constB64) <=> v102(constB63)),
% 8.17/5.72 inference(unit_resolution,[status(thm)],[6877, 6839, 904])).
% 8.17/5.72 tff(6879,plain,
% 8.17/5.72 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB63) <=> (v105(constB63) | v106(constB63)))),
% 8.17/5.72 inference(quant_inst,[status(thm)],[])).
% 8.17/5.72 tff(6880,plain,
% 8.17/5.72 (v102(constB63) <=> (v105(constB63) | v106(constB63))),
% 8.17/5.72 inference(unit_resolution,[status(thm)],[6879, 915])).
% 8.17/5.72 tff(6881,plain,
% 8.17/5.72 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB63) <=> (~((~v107(constB63)) | (~v120(constB63)))))),
% 8.17/5.72 inference(quant_inst,[status(thm)],[])).
% 8.17/5.72 tff(6882,plain,
% 8.17/5.72 (v106(constB63) <=> (~((~v107(constB63)) | (~v120(constB63))))),
% 8.17/5.72 inference(unit_resolution,[status(thm)],[6881, 927])).
% 8.17/5.72 tff(6883,plain,
% 8.17/5.72 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB63) <=> (v108(constB63) | v119(constB63)))),
% 8.17/5.72 inference(quant_inst,[status(thm)],[])).
% 8.17/5.72 tff(6884,plain,
% 8.17/5.72 (v107(constB63) <=> (v108(constB63) | v119(constB63))),
% 8.17/5.72 inference(unit_resolution,[status(thm)],[6883, 936])).
% 8.17/5.72 tff(6885,plain,
% 8.17/5.72 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB63) <=> (v109(constB63) | v118(constB63)))),
% 8.17/5.72 inference(quant_inst,[status(thm)],[])).
% 8.17/5.72 tff(6886,plain,
% 8.17/5.72 (v108(constB63) <=> (v109(constB63) | v118(constB63))),
% 8.17/5.72 inference(unit_resolution,[status(thm)],[6885, 945])).
% 8.17/5.72 tff(6887,plain,
% 8.17/5.72 ((~![VarCurr: $i] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB63) <=> (v110(constB63) | v117(constB63)))),
% 8.17/5.72 inference(quant_inst,[status(thm)],[])).
% 8.17/5.72 tff(6888,plain,
% 8.17/5.72 (v109(constB63) <=> (v110(constB63) | v117(constB63))),
% 8.17/5.72 inference(unit_resolution,[status(thm)],[6887, 1056])).
% 8.17/5.72 tff(6889,plain,
% 8.17/5.72 ((~![VarCurr: $i] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB63) <=> (v111(constB63) | v116(constB63)))),
% 8.17/5.72 inference(quant_inst,[status(thm)],[])).
% 8.17/5.72 tff(6890,plain,
% 8.17/5.72 (v110(constB63) <=> (v111(constB63) | v116(constB63))),
% 8.17/5.72 inference(unit_resolution,[status(thm)],[6889, 1169])).
% 8.17/5.72 tff(6891,plain,
% 8.17/5.72 ((~![VarCurr: $i] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB63) <=> (v112(constB63) | v115(constB63)))),
% 8.17/5.72 inference(quant_inst,[status(thm)],[])).
% 8.17/5.72 tff(6892,plain,
% 8.17/5.72 (v111(constB63) <=> (v112(constB63) | v115(constB63))),
% 8.17/5.72 inference(unit_resolution,[status(thm)],[6891, 1279])).
% 8.17/5.72 tff(6893,plain,
% 8.17/5.72 ((~![VarCurr: $i] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))) | (v112(constB63) <=> (v113(constB63) | v114(constB63)))),
% 8.17/5.72 inference(quant_inst,[status(thm)],[])).
% 8.17/5.72 tff(6894,plain,
% 8.17/5.72 (v112(constB63) <=> (v113(constB63) | v114(constB63))),
% 8.17/5.72 inference(unit_resolution,[status(thm)],[6893, 1396])).
% 8.17/5.72 tff(6895,plain,
% 8.17/5.72 (((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB63) <=> (~(v84(constB63, bitIndex2) | v84(constB63, bitIndex1) | (~v84(constB63, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB63) <=> (~(v84(constB63, bitIndex2) | v84(constB63, bitIndex1) | (~v84(constB63, bitIndex0))))))),
% 8.17/5.72 inference(rewrite,[status(thm)],[])).
% 8.17/5.72 tff(6896,plain,
% 8.17/5.72 ((v114(constB63) <=> (~(v84(constB63, bitIndex1) | v84(constB63, bitIndex2) | (~v84(constB63, bitIndex0))))) <=> (v114(constB63) <=> (~(v84(constB63, bitIndex2) | v84(constB63, bitIndex1) | (~v84(constB63, bitIndex0)))))),
% 8.17/5.72 inference(rewrite,[status(thm)],[])).
% 8.17/5.72 tff(6897,plain,
% 8.17/5.72 (((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB63) <=> (~(v84(constB63, bitIndex1) | v84(constB63, bitIndex2) | (~v84(constB63, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB63) <=> (~(v84(constB63, bitIndex2) | v84(constB63, bitIndex1) | (~v84(constB63, bitIndex0))))))),
% 8.17/5.72 inference(monotonicity,[status(thm)],[6896])).
% 8.17/5.72 tff(6898,plain,
% 8.17/5.72 (((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB63) <=> (~(v84(constB63, bitIndex1) | v84(constB63, bitIndex2) | (~v84(constB63, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB63) <=> (~(v84(constB63, bitIndex2) | v84(constB63, bitIndex1) | (~v84(constB63, bitIndex0))))))),
% 8.17/5.72 inference(transitivity,[status(thm)],[6897, 6895])).
% 8.17/5.72 tff(6899,plain,
% 8.17/5.72 ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB63) <=> (~(v84(constB63, bitIndex1) | v84(constB63, bitIndex2) | (~v84(constB63, bitIndex0)))))),
% 8.17/5.72 inference(quant_inst,[status(thm)],[])).
% 8.17/5.72 tff(6900,plain,
% 8.17/5.72 ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB63) <=> (~(v84(constB63, bitIndex2) | v84(constB63, bitIndex1) | (~v84(constB63, bitIndex0)))))),
% 8.17/5.72 inference(modus_ponens,[status(thm)],[6899, 6898])).
% 8.17/5.72 tff(6901,plain,
% 8.17/5.72 (v114(constB63) <=> (~(v84(constB63, bitIndex2) | v84(constB63, bitIndex1) | (~v84(constB63, bitIndex0))))),
% 8.17/5.72 inference(unit_resolution,[status(thm)],[6900, 1411])).
% 8.17/5.72 tff(6902,plain,
% 8.17/5.72 (nextState(constB62, constB63) <=> nextState(constB62, constB63)),
% 8.17/5.72 inference(rewrite,[status(thm)],[])).
% 8.17/5.72 tff(6903,axiom,(nextState(constB62, constB63)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_62')).
% 8.17/5.72 tff(6904,plain,
% 8.17/5.72 (nextState(constB62, constB63)),
% 8.17/5.72 inference(modus_ponens,[status(thm)],[6903, 6902])).
% 8.17/5.72 tff(6905,plain,
% 8.17/5.72 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB62, constB63)) | (v94(constB63) <=> (~((~v104(constB63)) | (~v95(constB63))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB62, constB63)) | (v94(constB63) <=> (~((~v104(constB63)) | (~v95(constB63))))))),
% 8.17/5.72 inference(rewrite,[status(thm)],[])).
% 8.17/5.72 tff(6906,plain,
% 8.17/5.72 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB62, constB63)) | (v94(constB63) <=> (~((~v104(constB63)) | (~v95(constB63))))))),
% 8.17/5.72 inference(quant_inst,[status(thm)],[])).
% 8.17/5.72 tff(6907,plain,
% 8.17/5.72 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB62, constB63)) | (v94(constB63) <=> (~((~v104(constB63)) | (~v95(constB63)))))),
% 8.17/5.72 inference(modus_ponens,[status(thm)],[6906, 6905])).
% 8.17/5.72 tff(6908,plain,
% 8.17/5.72 (v94(constB63) <=> (~((~v104(constB63)) | (~v95(constB63))))),
% 8.17/5.72 inference(unit_resolution,[status(thm)],[6907, 6904, 775])).
% 8.17/5.72 tff(6909,plain,
% 8.17/5.72 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB62, constB63)) | (v95(constB63) <=> (~((~v1(constB63)) | (~v96(constB63))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB62, constB63)) | (v95(constB63) <=> (~((~v1(constB63)) | (~v96(constB63))))))),
% 8.17/5.72 inference(rewrite,[status(thm)],[])).
% 8.17/5.72 tff(6910,plain,
% 8.17/5.72 (((~nextState(constB62, constB63)) | (v95(constB63) <=> (~((~v96(constB63)) | (~v1(constB63)))))) <=> ((~nextState(constB62, constB63)) | (v95(constB63) <=> (~((~v1(constB63)) | (~v96(constB63))))))),
% 8.17/5.72 inference(rewrite,[status(thm)],[])).
% 8.17/5.72 tff(6911,plain,
% 8.17/5.72 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB62, constB63)) | (v95(constB63) <=> (~((~v96(constB63)) | (~v1(constB63))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB62, constB63)) | (v95(constB63) <=> (~((~v1(constB63)) | (~v96(constB63)))))))),
% 8.17/5.72 inference(monotonicity,[status(thm)],[6910])).
% 8.17/5.72 tff(6912,plain,
% 8.17/5.72 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB62, constB63)) | (v95(constB63) <=> (~((~v96(constB63)) | (~v1(constB63))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB62, constB63)) | (v95(constB63) <=> (~((~v1(constB63)) | (~v96(constB63))))))),
% 8.17/5.72 inference(transitivity,[status(thm)],[6911, 6909])).
% 8.17/5.72 tff(6913,plain,
% 8.17/5.72 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB62, constB63)) | (v95(constB63) <=> (~((~v96(constB63)) | (~v1(constB63))))))),
% 8.17/5.73 inference(quant_inst,[status(thm)],[])).
% 8.17/5.73 tff(6914,plain,
% 8.17/5.73 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB62, constB63)) | (v95(constB63) <=> (~((~v1(constB63)) | (~v96(constB63)))))),
% 8.17/5.73 inference(modus_ponens,[status(thm)],[6913, 6912])).
% 8.17/5.73 tff(6915,plain,
% 8.17/5.73 (v95(constB63) <=> (~((~v1(constB63)) | (~v96(constB63))))),
% 8.17/5.73 inference(unit_resolution,[status(thm)],[6914, 6904, 795])).
% 8.17/5.73 tff(6916,plain,
% 8.17/5.73 (((~v1(constB63)) | (~v96(constB63))) | v1(constB63)),
% 8.17/5.73 inference(tautology,[status(thm)],[])).
% 8.17/5.73 tff(6917,plain,
% 8.17/5.73 ((~v1(constB63)) | (~v96(constB63))),
% 8.17/5.73 inference(unit_resolution,[status(thm)],[6916, 6861])).
% 8.17/5.73 tff(6918,plain,
% 8.17/5.73 ((~(v95(constB63) <=> (~((~v1(constB63)) | (~v96(constB63)))))) | (~v95(constB63)) | (~((~v1(constB63)) | (~v96(constB63))))),
% 8.17/5.73 inference(tautology,[status(thm)],[])).
% 8.17/5.73 tff(6919,plain,
% 8.17/5.73 ((~(v95(constB63) <=> (~((~v1(constB63)) | (~v96(constB63)))))) | (~v95(constB63))),
% 8.17/5.73 inference(unit_resolution,[status(thm)],[6918, 6917])).
% 8.17/5.73 tff(6920,plain,
% 8.17/5.73 (~v95(constB63)),
% 8.17/5.73 inference(unit_resolution,[status(thm)],[6919, 6915])).
% 8.17/5.73 tff(6921,plain,
% 8.17/5.73 (((~v104(constB63)) | (~v95(constB63))) | v95(constB63)),
% 8.17/5.73 inference(tautology,[status(thm)],[])).
% 8.17/5.73 tff(6922,plain,
% 8.17/5.73 ((~v104(constB63)) | (~v95(constB63))),
% 8.17/5.73 inference(unit_resolution,[status(thm)],[6921, 6920])).
% 8.17/5.73 tff(6923,plain,
% 8.17/5.73 ((~(v94(constB63) <=> (~((~v104(constB63)) | (~v95(constB63)))))) | (~v94(constB63)) | (~((~v104(constB63)) | (~v95(constB63))))),
% 8.17/5.73 inference(tautology,[status(thm)],[])).
% 8.17/5.73 tff(6924,plain,
% 8.17/5.73 (~v94(constB63)),
% 8.17/5.73 inference(unit_resolution,[status(thm)],[6923, 6922, 6908])).
% 8.17/5.73 tff(6925,plain,
% 8.17/5.73 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB63) | (~nextState(constB62, constB63)) | ![B: $i] : ((~less_3(B)) | (v84(constB63, B) <=> v84(constB62, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB63) | (~nextState(constB62, constB63)) | ![B: $i] : ((~less_3(B)) | (v84(constB63, B) <=> v84(constB62, B))))),
% 8.17/5.73 inference(rewrite,[status(thm)],[])).
% 8.17/5.73 tff(6926,plain,
% 8.17/5.73 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB63) | (~nextState(constB62, constB63)) | ![B: $i] : ((~less_3(B)) | (v84(constB63, B) <=> v84(constB62, B))))),
% 8.17/5.73 inference(quant_inst,[status(thm)],[])).
% 8.17/5.73 tff(6927,plain,
% 8.17/5.73 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB63) | (~nextState(constB62, constB63)) | ![B: $i] : ((~less_3(B)) | (v84(constB63, B) <=> v84(constB62, B)))),
% 8.17/5.73 inference(modus_ponens,[status(thm)],[6926, 6925])).
% 8.17/5.73 tff(6928,plain,
% 8.17/5.73 (v94(constB63) | ![B: $i] : ((~less_3(B)) | (v84(constB63, B) <=> v84(constB62, B)))),
% 8.17/5.73 inference(unit_resolution,[status(thm)],[6927, 6904, 824])).
% 8.17/5.73 tff(6929,plain,
% 8.17/5.73 (![B: $i] : ((~less_3(B)) | (v84(constB63, B) <=> v84(constB62, B)))),
% 8.17/5.73 inference(unit_resolution,[status(thm)],[6928, 6924])).
% 8.17/5.73 tff(6930,plain,
% 8.17/5.73 (((~![B: $i] : ((~less_3(B)) | (v84(constB63, B) <=> v84(constB62, B)))) | ((~less_3(bitIndex2)) | (v84(constB63, bitIndex2) <=> v84(constB62, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB63, B) <=> v84(constB62, B)))) | (~less_3(bitIndex2)) | (v84(constB63, bitIndex2) <=> v84(constB62, bitIndex2)))),
% 8.17/5.73 inference(rewrite,[status(thm)],[])).
% 8.17/5.73 tff(6931,plain,
% 8.17/5.73 ((~![B: $i] : ((~less_3(B)) | (v84(constB63, B) <=> v84(constB62, B)))) | ((~less_3(bitIndex2)) | (v84(constB63, bitIndex2) <=> v84(constB62, bitIndex2)))),
% 8.17/5.73 inference(quant_inst,[status(thm)],[])).
% 8.17/5.73 tff(6932,plain,
% 8.17/5.73 ((~![B: $i] : ((~less_3(B)) | (v84(constB63, B) <=> v84(constB62, B)))) | (~less_3(bitIndex2)) | (v84(constB63, bitIndex2) <=> v84(constB62, bitIndex2))),
% 8.17/5.73 inference(modus_ponens,[status(thm)],[6931, 6930])).
% 8.17/5.73 tff(6933,plain,
% 8.17/5.73 (v84(constB63, bitIndex2) <=> v84(constB62, bitIndex2)),
% 8.17/5.73 inference(unit_resolution,[status(thm)],[6932, 832, 6929])).
% 8.17/5.73 tff(6934,plain,
% 8.17/5.73 (nextState(constB61, constB62) <=> nextState(constB61, constB62)),
% 8.17/5.73 inference(rewrite,[status(thm)],[])).
% 8.17/5.73 tff(6935,axiom,(nextState(constB61, constB62)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_61')).
% 8.17/5.73 tff(6936,plain,
% 8.17/5.73 (nextState(constB61, constB62)),
% 8.17/5.73 inference(modus_ponens,[status(thm)],[6935, 6934])).
% 8.17/5.73 tff(6937,plain,
% 8.17/5.73 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB61, constB62)) | (v94(constB62) <=> (~((~v104(constB62)) | (~v95(constB62))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB61, constB62)) | (v94(constB62) <=> (~((~v104(constB62)) | (~v95(constB62))))))),
% 8.17/5.73 inference(rewrite,[status(thm)],[])).
% 8.17/5.73 tff(6938,plain,
% 8.17/5.73 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB61, constB62)) | (v94(constB62) <=> (~((~v104(constB62)) | (~v95(constB62))))))),
% 8.17/5.73 inference(quant_inst,[status(thm)],[])).
% 8.17/5.73 tff(6939,plain,
% 8.17/5.73 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB61, constB62)) | (v94(constB62) <=> (~((~v104(constB62)) | (~v95(constB62)))))),
% 8.17/5.73 inference(modus_ponens,[status(thm)],[6938, 6937])).
% 8.17/5.73 tff(6940,plain,
% 8.17/5.73 (v94(constB62) <=> (~((~v104(constB62)) | (~v95(constB62))))),
% 8.17/5.73 inference(unit_resolution,[status(thm)],[6939, 6936, 775])).
% 8.17/5.73 tff(6941,plain,
% 8.17/5.73 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB61, constB62)) | (v95(constB62) <=> (~((~v1(constB62)) | (~v96(constB62))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB61, constB62)) | (v95(constB62) <=> (~((~v1(constB62)) | (~v96(constB62))))))),
% 8.17/5.73 inference(rewrite,[status(thm)],[])).
% 8.17/5.73 tff(6942,plain,
% 8.17/5.73 (((~nextState(constB61, constB62)) | (v95(constB62) <=> (~((~v96(constB62)) | (~v1(constB62)))))) <=> ((~nextState(constB61, constB62)) | (v95(constB62) <=> (~((~v1(constB62)) | (~v96(constB62))))))),
% 8.17/5.73 inference(rewrite,[status(thm)],[])).
% 8.17/5.73 tff(6943,plain,
% 8.17/5.73 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB61, constB62)) | (v95(constB62) <=> (~((~v96(constB62)) | (~v1(constB62))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB61, constB62)) | (v95(constB62) <=> (~((~v1(constB62)) | (~v96(constB62)))))))),
% 8.17/5.73 inference(monotonicity,[status(thm)],[6942])).
% 8.17/5.73 tff(6944,plain,
% 8.17/5.73 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB61, constB62)) | (v95(constB62) <=> (~((~v96(constB62)) | (~v1(constB62))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB61, constB62)) | (v95(constB62) <=> (~((~v1(constB62)) | (~v96(constB62))))))),
% 8.17/5.73 inference(transitivity,[status(thm)],[6943, 6941])).
% 8.17/5.73 tff(6945,plain,
% 8.17/5.73 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB61, constB62)) | (v95(constB62) <=> (~((~v96(constB62)) | (~v1(constB62))))))),
% 8.17/5.73 inference(quant_inst,[status(thm)],[])).
% 8.17/5.73 tff(6946,plain,
% 8.17/5.73 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB61, constB62)) | (v95(constB62) <=> (~((~v1(constB62)) | (~v96(constB62)))))),
% 8.17/5.73 inference(modus_ponens,[status(thm)],[6945, 6944])).
% 8.17/5.73 tff(6947,plain,
% 8.17/5.73 (v95(constB62) <=> (~((~v1(constB62)) | (~v96(constB62))))),
% 8.17/5.73 inference(unit_resolution,[status(thm)],[6946, 6936, 795])).
% 8.17/5.73 tff(6948,plain,
% 8.17/5.73 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB61, constB62)) | ((~v96(constB62)) <=> v98(constB62)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB61, constB62)) | ((~v96(constB62)) <=> v98(constB62)))),
% 8.17/5.73 inference(rewrite,[status(thm)],[])).
% 8.17/5.73 tff(6949,plain,
% 8.17/5.73 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB61, constB62)) | ((~v96(constB62)) <=> v98(constB62)))),
% 8.17/5.73 inference(quant_inst,[status(thm)],[])).
% 8.17/5.73 tff(6950,plain,
% 8.17/5.73 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB61, constB62)) | ((~v96(constB62)) <=> v98(constB62))),
% 8.17/5.73 inference(modus_ponens,[status(thm)],[6949, 6948])).
% 8.17/5.73 tff(6951,plain,
% 8.17/5.73 ((~v96(constB62)) <=> v98(constB62)),
% 8.17/5.73 inference(unit_resolution,[status(thm)],[6950, 6936, 860])).
% 8.17/5.73 tff(6952,plain,
% 8.17/5.73 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB61, constB62)) | (v98(constB62) <=> v1(constB61)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB61, constB62)) | (v98(constB62) <=> v1(constB61)))),
% 8.17/5.73 inference(rewrite,[status(thm)],[])).
% 8.17/5.73 tff(6953,plain,
% 8.17/5.73 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB61, constB62)) | (v98(constB62) <=> v1(constB61)))),
% 8.17/5.73 inference(quant_inst,[status(thm)],[])).
% 8.17/5.73 tff(6954,plain,
% 8.17/5.73 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB61, constB62)) | (v98(constB62) <=> v1(constB61))),
% 8.17/5.73 inference(modus_ponens,[status(thm)],[6953, 6952])).
% 8.17/5.73 tff(6955,plain,
% 8.17/5.73 (v98(constB62) <=> v1(constB61)),
% 8.17/5.73 inference(unit_resolution,[status(thm)],[6954, 6936, 874])).
% 8.17/5.73 tff(6956,plain,
% 8.17/5.73 ((~v1(constB61)) <=> (~v1(constB61))),
% 8.17/5.73 inference(rewrite,[status(thm)],[])).
% 8.17/5.73 tff(6957,axiom,(~v1(constB61)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_61')).
% 8.17/5.73 tff(6958,plain,
% 8.17/5.73 (~v1(constB61)),
% 8.17/5.73 inference(modus_ponens,[status(thm)],[6957, 6956])).
% 8.17/5.73 tff(6959,plain,
% 8.17/5.73 ((~(v98(constB62) <=> v1(constB61))) | (~v98(constB62)) | v1(constB61)),
% 8.17/5.73 inference(tautology,[status(thm)],[])).
% 8.17/5.73 tff(6960,plain,
% 8.17/5.73 ((~(v98(constB62) <=> v1(constB61))) | (~v98(constB62))),
% 8.17/5.73 inference(unit_resolution,[status(thm)],[6959, 6958])).
% 8.17/5.73 tff(6961,plain,
% 8.17/5.73 (~v98(constB62)),
% 8.17/5.73 inference(unit_resolution,[status(thm)],[6960, 6955])).
% 8.17/5.73 tff(6962,plain,
% 8.17/5.73 ((~((~v96(constB62)) <=> v98(constB62))) | v96(constB62) | v98(constB62)),
% 8.17/5.73 inference(tautology,[status(thm)],[])).
% 8.17/5.73 tff(6963,plain,
% 8.17/5.73 (v96(constB62)),
% 8.17/5.73 inference(unit_resolution,[status(thm)],[6962, 6961, 6951])).
% 8.17/5.73 tff(6964,plain,
% 8.17/5.73 (v1(constB62) <=> v1(constB62)),
% 8.17/5.73 inference(rewrite,[status(thm)],[])).
% 8.17/5.73 tff(6965,axiom,(v1(constB62)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_62')).
% 8.17/5.73 tff(6966,plain,
% 8.17/5.73 (v1(constB62)),
% 8.17/5.73 inference(modus_ponens,[status(thm)],[6965, 6964])).
% 8.17/5.73 tff(6967,plain,
% 8.17/5.73 ((~((~v1(constB62)) | (~v96(constB62)))) | (~v1(constB62)) | (~v96(constB62))),
% 8.17/5.73 inference(tautology,[status(thm)],[])).
% 8.17/5.73 tff(6968,plain,
% 8.17/5.73 ((~((~v1(constB62)) | (~v96(constB62)))) | (~v96(constB62))),
% 8.17/5.73 inference(unit_resolution,[status(thm)],[6967, 6966])).
% 8.17/5.73 tff(6969,plain,
% 8.17/5.73 (~((~v1(constB62)) | (~v96(constB62)))),
% 8.17/5.73 inference(unit_resolution,[status(thm)],[6968, 6963])).
% 8.17/5.73 tff(6970,plain,
% 8.17/5.73 ((~(v95(constB62) <=> (~((~v1(constB62)) | (~v96(constB62)))))) | v95(constB62) | ((~v1(constB62)) | (~v96(constB62)))),
% 8.17/5.73 inference(tautology,[status(thm)],[])).
% 8.17/5.73 tff(6971,plain,
% 8.17/5.73 (v95(constB62)),
% 8.17/5.73 inference(unit_resolution,[status(thm)],[6970, 6969, 6947])).
% 8.17/5.73 tff(6972,plain,
% 8.17/5.73 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB61, constB62)) | (v104(constB62) <=> v102(constB61)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB61, constB62)) | (v104(constB62) <=> v102(constB61)))),
% 8.17/5.73 inference(rewrite,[status(thm)],[])).
% 8.17/5.73 tff(6973,plain,
% 8.17/5.73 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB61, constB62)) | (v104(constB62) <=> v102(constB61)))),
% 8.17/5.73 inference(quant_inst,[status(thm)],[])).
% 8.17/5.73 tff(6974,plain,
% 8.17/5.73 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB61, constB62)) | (v104(constB62) <=> v102(constB61))),
% 8.17/5.73 inference(modus_ponens,[status(thm)],[6973, 6972])).
% 8.17/5.73 tff(6975,plain,
% 8.17/5.73 (v104(constB62) <=> v102(constB61)),
% 8.17/5.73 inference(unit_resolution,[status(thm)],[6974, 6936, 904])).
% 8.17/5.73 tff(6976,plain,
% 8.17/5.73 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB61) <=> (v105(constB61) | v106(constB61)))),
% 8.17/5.73 inference(quant_inst,[status(thm)],[])).
% 8.17/5.73 tff(6977,plain,
% 8.17/5.73 (v102(constB61) <=> (v105(constB61) | v106(constB61))),
% 8.17/5.73 inference(unit_resolution,[status(thm)],[6976, 915])).
% 8.17/5.73 tff(6978,plain,
% 8.17/5.73 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB61) <=> (~((~v107(constB61)) | (~v120(constB61)))))),
% 8.17/5.73 inference(quant_inst,[status(thm)],[])).
% 8.17/5.73 tff(6979,plain,
% 8.17/5.73 (v106(constB61) <=> (~((~v107(constB61)) | (~v120(constB61))))),
% 8.17/5.73 inference(unit_resolution,[status(thm)],[6978, 927])).
% 8.17/5.73 tff(6980,plain,
% 8.17/5.73 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB61) <=> (v108(constB61) | v119(constB61)))),
% 8.17/5.73 inference(quant_inst,[status(thm)],[])).
% 8.17/5.73 tff(6981,plain,
% 8.17/5.73 (v107(constB61) <=> (v108(constB61) | v119(constB61))),
% 8.17/5.73 inference(unit_resolution,[status(thm)],[6980, 936])).
% 8.17/5.73 tff(6982,plain,
% 8.17/5.73 (((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB61) <=> (~((~v84(constB61, bitIndex2)) | (~v84(constB61, bitIndex1)) | v84(constB61, bitIndex0))))) <=> ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB61) <=> (~((~v84(constB61, bitIndex2)) | (~v84(constB61, bitIndex1)) | v84(constB61, bitIndex0)))))),
% 8.17/5.73 inference(rewrite,[status(thm)],[])).
% 8.17/5.73 tff(6983,plain,
% 8.17/5.73 ((v119(constB61) <=> (~(v84(constB61, bitIndex0) | (~v84(constB61, bitIndex1)) | (~v84(constB61, bitIndex2))))) <=> (v119(constB61) <=> (~((~v84(constB61, bitIndex2)) | (~v84(constB61, bitIndex1)) | v84(constB61, bitIndex0))))),
% 8.17/5.73 inference(rewrite,[status(thm)],[])).
% 8.17/5.73 tff(6984,plain,
% 8.17/5.73 (((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB61) <=> (~(v84(constB61, bitIndex0) | (~v84(constB61, bitIndex1)) | (~v84(constB61, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB61) <=> (~((~v84(constB61, bitIndex2)) | (~v84(constB61, bitIndex1)) | v84(constB61, bitIndex0)))))),
% 8.17/5.73 inference(monotonicity,[status(thm)],[6983])).
% 8.17/5.73 tff(6985,plain,
% 8.17/5.73 (((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB61) <=> (~(v84(constB61, bitIndex0) | (~v84(constB61, bitIndex1)) | (~v84(constB61, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB61) <=> (~((~v84(constB61, bitIndex2)) | (~v84(constB61, bitIndex1)) | v84(constB61, bitIndex0)))))),
% 8.17/5.73 inference(transitivity,[status(thm)],[6984, 6982])).
% 8.17/5.73 tff(6986,plain,
% 8.17/5.73 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB61) <=> (~(v84(constB61, bitIndex0) | (~v84(constB61, bitIndex1)) | (~v84(constB61, bitIndex2)))))),
% 8.17/5.73 inference(quant_inst,[status(thm)],[])).
% 8.17/5.73 tff(6987,plain,
% 8.17/5.73 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB61) <=> (~((~v84(constB61, bitIndex2)) | (~v84(constB61, bitIndex1)) | v84(constB61, bitIndex0))))),
% 8.17/5.73 inference(modus_ponens,[status(thm)],[6986, 6985])).
% 8.17/5.73 tff(6988,plain,
% 8.17/5.73 (v119(constB61) <=> (~((~v84(constB61, bitIndex2)) | (~v84(constB61, bitIndex1)) | v84(constB61, bitIndex0)))),
% 8.17/5.73 inference(unit_resolution,[status(thm)],[6987, 1511])).
% 8.17/5.73 tff(6989,plain,
% 8.17/5.73 (nextState(constB60, constB61) <=> nextState(constB60, constB61)),
% 8.17/5.73 inference(rewrite,[status(thm)],[])).
% 8.17/5.73 tff(6990,axiom,(nextState(constB60, constB61)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_60')).
% 8.17/5.73 tff(6991,plain,
% 8.17/5.73 (nextState(constB60, constB61)),
% 8.17/5.73 inference(modus_ponens,[status(thm)],[6990, 6989])).
% 8.17/5.73 tff(6992,plain,
% 8.17/5.73 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB60, constB61)) | (v94(constB61) <=> (~((~v104(constB61)) | (~v95(constB61))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB60, constB61)) | (v94(constB61) <=> (~((~v104(constB61)) | (~v95(constB61))))))),
% 8.17/5.73 inference(rewrite,[status(thm)],[])).
% 8.17/5.73 tff(6993,plain,
% 8.17/5.73 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB60, constB61)) | (v94(constB61) <=> (~((~v104(constB61)) | (~v95(constB61))))))),
% 8.17/5.73 inference(quant_inst,[status(thm)],[])).
% 8.17/5.73 tff(6994,plain,
% 8.17/5.73 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB60, constB61)) | (v94(constB61) <=> (~((~v104(constB61)) | (~v95(constB61)))))),
% 8.17/5.73 inference(modus_ponens,[status(thm)],[6993, 6992])).
% 8.17/5.73 tff(6995,plain,
% 8.17/5.73 (v94(constB61) <=> (~((~v104(constB61)) | (~v95(constB61))))),
% 8.17/5.73 inference(unit_resolution,[status(thm)],[6994, 6991, 775])).
% 8.17/5.73 tff(6996,plain,
% 8.17/5.73 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB60, constB61)) | (v95(constB61) <=> (~((~v1(constB61)) | (~v96(constB61))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB60, constB61)) | (v95(constB61) <=> (~((~v1(constB61)) | (~v96(constB61))))))),
% 8.17/5.73 inference(rewrite,[status(thm)],[])).
% 8.17/5.73 tff(6997,plain,
% 8.17/5.73 (((~nextState(constB60, constB61)) | (v95(constB61) <=> (~((~v96(constB61)) | (~v1(constB61)))))) <=> ((~nextState(constB60, constB61)) | (v95(constB61) <=> (~((~v1(constB61)) | (~v96(constB61))))))),
% 8.17/5.73 inference(rewrite,[status(thm)],[])).
% 8.17/5.73 tff(6998,plain,
% 8.17/5.73 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB60, constB61)) | (v95(constB61) <=> (~((~v96(constB61)) | (~v1(constB61))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB60, constB61)) | (v95(constB61) <=> (~((~v1(constB61)) | (~v96(constB61)))))))),
% 8.17/5.73 inference(monotonicity,[status(thm)],[6997])).
% 8.17/5.73 tff(6999,plain,
% 8.17/5.73 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB60, constB61)) | (v95(constB61) <=> (~((~v96(constB61)) | (~v1(constB61))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB60, constB61)) | (v95(constB61) <=> (~((~v1(constB61)) | (~v96(constB61))))))),
% 8.17/5.73 inference(transitivity,[status(thm)],[6998, 6996])).
% 8.17/5.73 tff(7000,plain,
% 8.17/5.73 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB60, constB61)) | (v95(constB61) <=> (~((~v96(constB61)) | (~v1(constB61))))))),
% 8.17/5.73 inference(quant_inst,[status(thm)],[])).
% 8.17/5.73 tff(7001,plain,
% 8.17/5.73 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB60, constB61)) | (v95(constB61) <=> (~((~v1(constB61)) | (~v96(constB61)))))),
% 8.17/5.73 inference(modus_ponens,[status(thm)],[7000, 6999])).
% 8.17/5.73 tff(7002,plain,
% 8.17/5.73 (v95(constB61) <=> (~((~v1(constB61)) | (~v96(constB61))))),
% 8.17/5.73 inference(unit_resolution,[status(thm)],[7001, 6991, 795])).
% 8.17/5.73 tff(7003,plain,
% 8.17/5.73 (((~v1(constB61)) | (~v96(constB61))) | v1(constB61)),
% 8.17/5.73 inference(tautology,[status(thm)],[])).
% 8.17/5.73 tff(7004,plain,
% 8.17/5.73 ((~v1(constB61)) | (~v96(constB61))),
% 8.17/5.73 inference(unit_resolution,[status(thm)],[7003, 6958])).
% 8.17/5.73 tff(7005,plain,
% 8.17/5.73 ((~(v95(constB61) <=> (~((~v1(constB61)) | (~v96(constB61)))))) | (~v95(constB61)) | (~((~v1(constB61)) | (~v96(constB61))))),
% 8.17/5.73 inference(tautology,[status(thm)],[])).
% 8.17/5.73 tff(7006,plain,
% 8.17/5.73 ((~(v95(constB61) <=> (~((~v1(constB61)) | (~v96(constB61)))))) | (~v95(constB61))),
% 8.17/5.73 inference(unit_resolution,[status(thm)],[7005, 7004])).
% 8.17/5.73 tff(7007,plain,
% 8.17/5.73 (~v95(constB61)),
% 8.17/5.73 inference(unit_resolution,[status(thm)],[7006, 7002])).
% 8.17/5.73 tff(7008,plain,
% 8.17/5.73 (((~v104(constB61)) | (~v95(constB61))) | v95(constB61)),
% 8.17/5.73 inference(tautology,[status(thm)],[])).
% 8.17/5.73 tff(7009,plain,
% 8.17/5.73 ((~v104(constB61)) | (~v95(constB61))),
% 8.17/5.73 inference(unit_resolution,[status(thm)],[7008, 7007])).
% 8.17/5.73 tff(7010,plain,
% 8.17/5.73 ((~(v94(constB61) <=> (~((~v104(constB61)) | (~v95(constB61)))))) | (~v94(constB61)) | (~((~v104(constB61)) | (~v95(constB61))))),
% 8.17/5.73 inference(tautology,[status(thm)],[])).
% 8.17/5.73 tff(7011,plain,
% 8.17/5.73 (~v94(constB61)),
% 8.17/5.73 inference(unit_resolution,[status(thm)],[7010, 7009, 6995])).
% 8.17/5.73 tff(7012,plain,
% 8.17/5.73 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB61) | (~nextState(constB60, constB61)) | ![B: $i] : ((~less_3(B)) | (v84(constB61, B) <=> v84(constB60, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB61) | (~nextState(constB60, constB61)) | ![B: $i] : ((~less_3(B)) | (v84(constB61, B) <=> v84(constB60, B))))),
% 8.17/5.73 inference(rewrite,[status(thm)],[])).
% 8.17/5.73 tff(7013,plain,
% 8.17/5.73 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB61) | (~nextState(constB60, constB61)) | ![B: $i] : ((~less_3(B)) | (v84(constB61, B) <=> v84(constB60, B))))),
% 8.17/5.73 inference(quant_inst,[status(thm)],[])).
% 8.17/5.73 tff(7014,plain,
% 8.17/5.73 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB61) | (~nextState(constB60, constB61)) | ![B: $i] : ((~less_3(B)) | (v84(constB61, B) <=> v84(constB60, B)))),
% 8.17/5.73 inference(modus_ponens,[status(thm)],[7013, 7012])).
% 8.17/5.73 tff(7015,plain,
% 8.17/5.73 (v94(constB61) | ![B: $i] : ((~less_3(B)) | (v84(constB61, B) <=> v84(constB60, B)))),
% 8.17/5.73 inference(unit_resolution,[status(thm)],[7014, 6991, 824])).
% 8.17/5.73 tff(7016,plain,
% 8.17/5.73 (![B: $i] : ((~less_3(B)) | (v84(constB61, B) <=> v84(constB60, B)))),
% 8.17/5.73 inference(unit_resolution,[status(thm)],[7015, 7011])).
% 8.17/5.73 tff(7017,plain,
% 8.17/5.73 (((~![B: $i] : ((~less_3(B)) | (v84(constB61, B) <=> v84(constB60, B)))) | ((~less_3(bitIndex2)) | (v84(constB61, bitIndex2) <=> v84(constB60, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB61, B) <=> v84(constB60, B)))) | (~less_3(bitIndex2)) | (v84(constB61, bitIndex2) <=> v84(constB60, bitIndex2)))),
% 8.17/5.73 inference(rewrite,[status(thm)],[])).
% 8.17/5.73 tff(7018,plain,
% 8.17/5.73 ((~![B: $i] : ((~less_3(B)) | (v84(constB61, B) <=> v84(constB60, B)))) | ((~less_3(bitIndex2)) | (v84(constB61, bitIndex2) <=> v84(constB60, bitIndex2)))),
% 8.17/5.73 inference(quant_inst,[status(thm)],[])).
% 8.17/5.73 tff(7019,plain,
% 8.17/5.73 ((~![B: $i] : ((~less_3(B)) | (v84(constB61, B) <=> v84(constB60, B)))) | (~less_3(bitIndex2)) | (v84(constB61, bitIndex2) <=> v84(constB60, bitIndex2))),
% 8.17/5.73 inference(modus_ponens,[status(thm)],[7018, 7017])).
% 8.17/5.73 tff(7020,plain,
% 8.17/5.73 (v84(constB61, bitIndex2) <=> v84(constB60, bitIndex2)),
% 8.17/5.73 inference(unit_resolution,[status(thm)],[7019, 832, 7016])).
% 8.17/5.73 tff(7021,plain,
% 8.17/5.73 (nextState(constB59, constB60) <=> nextState(constB59, constB60)),
% 8.17/5.73 inference(rewrite,[status(thm)],[])).
% 8.17/5.73 tff(7022,axiom,(nextState(constB59, constB60)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_59')).
% 8.17/5.73 tff(7023,plain,
% 8.17/5.73 (nextState(constB59, constB60)),
% 8.17/5.73 inference(modus_ponens,[status(thm)],[7022, 7021])).
% 8.17/5.73 tff(7024,plain,
% 8.17/5.73 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB59, constB60)) | (v94(constB60) <=> (~((~v104(constB60)) | (~v95(constB60))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB59, constB60)) | (v94(constB60) <=> (~((~v104(constB60)) | (~v95(constB60))))))),
% 8.17/5.73 inference(rewrite,[status(thm)],[])).
% 8.17/5.73 tff(7025,plain,
% 8.17/5.73 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB59, constB60)) | (v94(constB60) <=> (~((~v104(constB60)) | (~v95(constB60))))))),
% 8.17/5.73 inference(quant_inst,[status(thm)],[])).
% 8.17/5.73 tff(7026,plain,
% 8.17/5.73 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB59, constB60)) | (v94(constB60) <=> (~((~v104(constB60)) | (~v95(constB60)))))),
% 8.17/5.73 inference(modus_ponens,[status(thm)],[7025, 7024])).
% 8.17/5.73 tff(7027,plain,
% 8.17/5.73 (v94(constB60) <=> (~((~v104(constB60)) | (~v95(constB60))))),
% 8.17/5.73 inference(unit_resolution,[status(thm)],[7026, 7023, 775])).
% 8.17/5.73 tff(7028,plain,
% 8.17/5.73 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB59, constB60)) | (v95(constB60) <=> (~((~v1(constB60)) | (~v96(constB60))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB59, constB60)) | (v95(constB60) <=> (~((~v1(constB60)) | (~v96(constB60))))))),
% 8.17/5.73 inference(rewrite,[status(thm)],[])).
% 8.17/5.73 tff(7029,plain,
% 8.17/5.73 (((~nextState(constB59, constB60)) | (v95(constB60) <=> (~((~v96(constB60)) | (~v1(constB60)))))) <=> ((~nextState(constB59, constB60)) | (v95(constB60) <=> (~((~v1(constB60)) | (~v96(constB60))))))),
% 8.17/5.73 inference(rewrite,[status(thm)],[])).
% 8.17/5.73 tff(7030,plain,
% 8.17/5.73 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB59, constB60)) | (v95(constB60) <=> (~((~v96(constB60)) | (~v1(constB60))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB59, constB60)) | (v95(constB60) <=> (~((~v1(constB60)) | (~v96(constB60)))))))),
% 8.17/5.73 inference(monotonicity,[status(thm)],[7029])).
% 8.17/5.73 tff(7031,plain,
% 8.17/5.73 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB59, constB60)) | (v95(constB60) <=> (~((~v96(constB60)) | (~v1(constB60))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB59, constB60)) | (v95(constB60) <=> (~((~v1(constB60)) | (~v96(constB60))))))),
% 8.17/5.73 inference(transitivity,[status(thm)],[7030, 7028])).
% 8.17/5.73 tff(7032,plain,
% 8.17/5.73 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB59, constB60)) | (v95(constB60) <=> (~((~v96(constB60)) | (~v1(constB60))))))),
% 8.17/5.73 inference(quant_inst,[status(thm)],[])).
% 8.17/5.73 tff(7033,plain,
% 8.17/5.73 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB59, constB60)) | (v95(constB60) <=> (~((~v1(constB60)) | (~v96(constB60)))))),
% 8.17/5.73 inference(modus_ponens,[status(thm)],[7032, 7031])).
% 8.17/5.73 tff(7034,plain,
% 8.17/5.73 (v95(constB60) <=> (~((~v1(constB60)) | (~v96(constB60))))),
% 8.17/5.73 inference(unit_resolution,[status(thm)],[7033, 7023, 795])).
% 8.17/5.73 tff(7035,plain,
% 8.17/5.73 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB59, constB60)) | ((~v96(constB60)) <=> v98(constB60)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB59, constB60)) | ((~v96(constB60)) <=> v98(constB60)))),
% 8.17/5.73 inference(rewrite,[status(thm)],[])).
% 8.17/5.73 tff(7036,plain,
% 8.17/5.73 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB59, constB60)) | ((~v96(constB60)) <=> v98(constB60)))),
% 8.17/5.73 inference(quant_inst,[status(thm)],[])).
% 8.17/5.73 tff(7037,plain,
% 8.17/5.73 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB59, constB60)) | ((~v96(constB60)) <=> v98(constB60))),
% 8.17/5.73 inference(modus_ponens,[status(thm)],[7036, 7035])).
% 8.17/5.73 tff(7038,plain,
% 8.17/5.73 ((~v96(constB60)) <=> v98(constB60)),
% 8.17/5.73 inference(unit_resolution,[status(thm)],[7037, 7023, 860])).
% 8.17/5.73 tff(7039,plain,
% 8.17/5.73 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB59, constB60)) | (v98(constB60) <=> v1(constB59)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB59, constB60)) | (v98(constB60) <=> v1(constB59)))),
% 8.17/5.73 inference(rewrite,[status(thm)],[])).
% 8.17/5.73 tff(7040,plain,
% 8.17/5.73 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB59, constB60)) | (v98(constB60) <=> v1(constB59)))),
% 8.17/5.73 inference(quant_inst,[status(thm)],[])).
% 8.17/5.73 tff(7041,plain,
% 8.17/5.73 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB59, constB60)) | (v98(constB60) <=> v1(constB59))),
% 8.17/5.73 inference(modus_ponens,[status(thm)],[7040, 7039])).
% 8.17/5.73 tff(7042,plain,
% 8.17/5.73 (v98(constB60) <=> v1(constB59)),
% 8.17/5.73 inference(unit_resolution,[status(thm)],[7041, 7023, 874])).
% 8.17/5.73 tff(7043,plain,
% 8.17/5.73 ((~v1(constB59)) <=> (~v1(constB59))),
% 8.17/5.73 inference(rewrite,[status(thm)],[])).
% 8.17/5.73 tff(7044,axiom,(~v1(constB59)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_59')).
% 8.17/5.73 tff(7045,plain,
% 8.17/5.73 (~v1(constB59)),
% 8.17/5.73 inference(modus_ponens,[status(thm)],[7044, 7043])).
% 8.17/5.73 tff(7046,plain,
% 8.17/5.73 ((~(v98(constB60) <=> v1(constB59))) | (~v98(constB60)) | v1(constB59)),
% 8.17/5.73 inference(tautology,[status(thm)],[])).
% 8.17/5.73 tff(7047,plain,
% 8.17/5.73 ((~(v98(constB60) <=> v1(constB59))) | (~v98(constB60))),
% 8.17/5.73 inference(unit_resolution,[status(thm)],[7046, 7045])).
% 8.17/5.73 tff(7048,plain,
% 8.17/5.73 (~v98(constB60)),
% 8.17/5.73 inference(unit_resolution,[status(thm)],[7047, 7042])).
% 8.17/5.73 tff(7049,plain,
% 8.17/5.73 ((~((~v96(constB60)) <=> v98(constB60))) | v96(constB60) | v98(constB60)),
% 8.17/5.73 inference(tautology,[status(thm)],[])).
% 8.17/5.73 tff(7050,plain,
% 8.17/5.73 (v96(constB60)),
% 8.17/5.73 inference(unit_resolution,[status(thm)],[7049, 7048, 7038])).
% 8.17/5.73 tff(7051,plain,
% 8.17/5.73 (v1(constB60) <=> v1(constB60)),
% 8.17/5.73 inference(rewrite,[status(thm)],[])).
% 8.17/5.73 tff(7052,axiom,(v1(constB60)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_60')).
% 8.17/5.73 tff(7053,plain,
% 8.17/5.73 (v1(constB60)),
% 8.17/5.73 inference(modus_ponens,[status(thm)],[7052, 7051])).
% 8.17/5.73 tff(7054,plain,
% 8.17/5.73 ((~((~v1(constB60)) | (~v96(constB60)))) | (~v1(constB60)) | (~v96(constB60))),
% 8.17/5.73 inference(tautology,[status(thm)],[])).
% 8.17/5.73 tff(7055,plain,
% 8.17/5.73 ((~((~v1(constB60)) | (~v96(constB60)))) | (~v96(constB60))),
% 8.17/5.73 inference(unit_resolution,[status(thm)],[7054, 7053])).
% 8.17/5.73 tff(7056,plain,
% 8.17/5.73 (~((~v1(constB60)) | (~v96(constB60)))),
% 8.17/5.73 inference(unit_resolution,[status(thm)],[7055, 7050])).
% 8.17/5.73 tff(7057,plain,
% 8.17/5.73 ((~(v95(constB60) <=> (~((~v1(constB60)) | (~v96(constB60)))))) | v95(constB60) | ((~v1(constB60)) | (~v96(constB60)))),
% 8.17/5.73 inference(tautology,[status(thm)],[])).
% 8.17/5.73 tff(7058,plain,
% 8.17/5.73 (v95(constB60)),
% 8.17/5.73 inference(unit_resolution,[status(thm)],[7057, 7056, 7034])).
% 8.17/5.73 tff(7059,plain,
% 8.17/5.73 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB59, constB60)) | (v104(constB60) <=> v102(constB59)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB59, constB60)) | (v104(constB60) <=> v102(constB59)))),
% 8.17/5.73 inference(rewrite,[status(thm)],[])).
% 8.17/5.73 tff(7060,plain,
% 8.17/5.73 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB59, constB60)) | (v104(constB60) <=> v102(constB59)))),
% 8.17/5.73 inference(quant_inst,[status(thm)],[])).
% 8.17/5.73 tff(7061,plain,
% 8.17/5.73 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB59, constB60)) | (v104(constB60) <=> v102(constB59))),
% 8.17/5.73 inference(modus_ponens,[status(thm)],[7060, 7059])).
% 8.17/5.73 tff(7062,plain,
% 8.17/5.73 (v104(constB60) <=> v102(constB59)),
% 8.17/5.73 inference(unit_resolution,[status(thm)],[7061, 7023, 904])).
% 8.17/5.73 tff(7063,plain,
% 8.17/5.73 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB59) <=> (v105(constB59) | v106(constB59)))),
% 8.17/5.73 inference(quant_inst,[status(thm)],[])).
% 8.17/5.73 tff(7064,plain,
% 8.17/5.73 (v102(constB59) <=> (v105(constB59) | v106(constB59))),
% 8.17/5.73 inference(unit_resolution,[status(thm)],[7063, 915])).
% 8.17/5.73 tff(7065,plain,
% 8.17/5.73 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB59) <=> (~((~v107(constB59)) | (~v120(constB59)))))),
% 8.17/5.73 inference(quant_inst,[status(thm)],[])).
% 8.17/5.73 tff(7066,plain,
% 8.17/5.73 (v106(constB59) <=> (~((~v107(constB59)) | (~v120(constB59))))),
% 8.17/5.73 inference(unit_resolution,[status(thm)],[7065, 927])).
% 8.17/5.73 tff(7067,plain,
% 8.17/5.73 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB59) <=> (v108(constB59) | v119(constB59)))),
% 8.17/5.73 inference(quant_inst,[status(thm)],[])).
% 8.17/5.73 tff(7068,plain,
% 8.17/5.73 (v107(constB59) <=> (v108(constB59) | v119(constB59))),
% 8.17/5.73 inference(unit_resolution,[status(thm)],[7067, 936])).
% 8.17/5.73 tff(7069,plain,
% 8.17/5.73 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB59) <=> (v109(constB59) | v118(constB59)))),
% 8.17/5.73 inference(quant_inst,[status(thm)],[])).
% 8.17/5.73 tff(7070,plain,
% 8.17/5.73 (v108(constB59) <=> (v109(constB59) | v118(constB59))),
% 8.17/5.73 inference(unit_resolution,[status(thm)],[7069, 945])).
% 8.17/5.73 tff(7071,plain,
% 8.17/5.73 (((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB59) <=> (~((~v84(constB59, bitIndex2)) | v84(constB59, bitIndex1) | (~v84(constB59, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB59) <=> (~((~v84(constB59, bitIndex2)) | v84(constB59, bitIndex1) | (~v84(constB59, bitIndex0))))))),
% 8.17/5.73 inference(rewrite,[status(thm)],[])).
% 8.17/5.73 tff(7072,plain,
% 8.17/5.73 ((v118(constB59) <=> (~(v84(constB59, bitIndex1) | (~v84(constB59, bitIndex0)) | (~v84(constB59, bitIndex2))))) <=> (v118(constB59) <=> (~((~v84(constB59, bitIndex2)) | v84(constB59, bitIndex1) | (~v84(constB59, bitIndex0)))))),
% 8.17/5.74 inference(rewrite,[status(thm)],[])).
% 8.17/5.74 tff(7073,plain,
% 8.17/5.74 (((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB59) <=> (~(v84(constB59, bitIndex1) | (~v84(constB59, bitIndex0)) | (~v84(constB59, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB59) <=> (~((~v84(constB59, bitIndex2)) | v84(constB59, bitIndex1) | (~v84(constB59, bitIndex0))))))),
% 8.17/5.74 inference(monotonicity,[status(thm)],[7072])).
% 8.17/5.74 tff(7074,plain,
% 8.17/5.74 (((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB59) <=> (~(v84(constB59, bitIndex1) | (~v84(constB59, bitIndex0)) | (~v84(constB59, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB59) <=> (~((~v84(constB59, bitIndex2)) | v84(constB59, bitIndex1) | (~v84(constB59, bitIndex0))))))),
% 8.17/5.74 inference(transitivity,[status(thm)],[7073, 7071])).
% 8.17/5.74 tff(7075,plain,
% 8.17/5.74 ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB59) <=> (~(v84(constB59, bitIndex1) | (~v84(constB59, bitIndex0)) | (~v84(constB59, bitIndex2)))))),
% 8.17/5.74 inference(quant_inst,[status(thm)],[])).
% 8.17/5.74 tff(7076,plain,
% 8.17/5.74 ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB59) <=> (~((~v84(constB59, bitIndex2)) | v84(constB59, bitIndex1) | (~v84(constB59, bitIndex0)))))),
% 8.17/5.74 inference(modus_ponens,[status(thm)],[7075, 7074])).
% 8.17/5.74 tff(7077,plain,
% 8.17/5.74 (v118(constB59) <=> (~((~v84(constB59, bitIndex2)) | v84(constB59, bitIndex1) | (~v84(constB59, bitIndex0))))),
% 8.17/5.74 inference(unit_resolution,[status(thm)],[7076, 960])).
% 8.17/5.74 tff(7078,plain,
% 8.17/5.74 (nextState(constB58, constB59) <=> nextState(constB58, constB59)),
% 8.17/5.74 inference(rewrite,[status(thm)],[])).
% 8.17/5.74 tff(7079,axiom,(nextState(constB58, constB59)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_58')).
% 8.17/5.74 tff(7080,plain,
% 8.17/5.74 (nextState(constB58, constB59)),
% 8.17/5.74 inference(modus_ponens,[status(thm)],[7079, 7078])).
% 8.17/5.74 tff(7081,plain,
% 8.17/5.74 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB58, constB59)) | (v94(constB59) <=> (~((~v104(constB59)) | (~v95(constB59))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB58, constB59)) | (v94(constB59) <=> (~((~v104(constB59)) | (~v95(constB59))))))),
% 8.17/5.74 inference(rewrite,[status(thm)],[])).
% 8.17/5.74 tff(7082,plain,
% 8.17/5.74 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB58, constB59)) | (v94(constB59) <=> (~((~v104(constB59)) | (~v95(constB59))))))),
% 8.17/5.74 inference(quant_inst,[status(thm)],[])).
% 8.17/5.74 tff(7083,plain,
% 8.17/5.74 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB58, constB59)) | (v94(constB59) <=> (~((~v104(constB59)) | (~v95(constB59)))))),
% 8.17/5.74 inference(modus_ponens,[status(thm)],[7082, 7081])).
% 8.17/5.74 tff(7084,plain,
% 8.17/5.74 (v94(constB59) <=> (~((~v104(constB59)) | (~v95(constB59))))),
% 8.17/5.74 inference(unit_resolution,[status(thm)],[7083, 7080, 775])).
% 8.17/5.74 tff(7085,plain,
% 8.17/5.74 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB58, constB59)) | (v95(constB59) <=> (~((~v1(constB59)) | (~v96(constB59))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB58, constB59)) | (v95(constB59) <=> (~((~v1(constB59)) | (~v96(constB59))))))),
% 8.17/5.74 inference(rewrite,[status(thm)],[])).
% 8.17/5.74 tff(7086,plain,
% 8.17/5.74 (((~nextState(constB58, constB59)) | (v95(constB59) <=> (~((~v96(constB59)) | (~v1(constB59)))))) <=> ((~nextState(constB58, constB59)) | (v95(constB59) <=> (~((~v1(constB59)) | (~v96(constB59))))))),
% 8.17/5.74 inference(rewrite,[status(thm)],[])).
% 8.17/5.74 tff(7087,plain,
% 8.17/5.74 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB58, constB59)) | (v95(constB59) <=> (~((~v96(constB59)) | (~v1(constB59))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB58, constB59)) | (v95(constB59) <=> (~((~v1(constB59)) | (~v96(constB59)))))))),
% 8.17/5.74 inference(monotonicity,[status(thm)],[7086])).
% 8.17/5.74 tff(7088,plain,
% 8.17/5.74 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB58, constB59)) | (v95(constB59) <=> (~((~v96(constB59)) | (~v1(constB59))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB58, constB59)) | (v95(constB59) <=> (~((~v1(constB59)) | (~v96(constB59))))))),
% 8.17/5.74 inference(transitivity,[status(thm)],[7087, 7085])).
% 8.17/5.74 tff(7089,plain,
% 8.17/5.74 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB58, constB59)) | (v95(constB59) <=> (~((~v96(constB59)) | (~v1(constB59))))))),
% 8.17/5.74 inference(quant_inst,[status(thm)],[])).
% 8.17/5.74 tff(7090,plain,
% 8.17/5.74 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB58, constB59)) | (v95(constB59) <=> (~((~v1(constB59)) | (~v96(constB59)))))),
% 8.17/5.74 inference(modus_ponens,[status(thm)],[7089, 7088])).
% 8.17/5.74 tff(7091,plain,
% 8.17/5.74 (v95(constB59) <=> (~((~v1(constB59)) | (~v96(constB59))))),
% 8.17/5.74 inference(unit_resolution,[status(thm)],[7090, 7080, 795])).
% 8.17/5.74 tff(7092,plain,
% 8.17/5.74 (((~v1(constB59)) | (~v96(constB59))) | v1(constB59)),
% 8.17/5.74 inference(tautology,[status(thm)],[])).
% 8.17/5.74 tff(7093,plain,
% 8.17/5.74 ((~v1(constB59)) | (~v96(constB59))),
% 8.17/5.74 inference(unit_resolution,[status(thm)],[7092, 7045])).
% 8.17/5.74 tff(7094,plain,
% 8.17/5.74 ((~(v95(constB59) <=> (~((~v1(constB59)) | (~v96(constB59)))))) | (~v95(constB59)) | (~((~v1(constB59)) | (~v96(constB59))))),
% 8.17/5.74 inference(tautology,[status(thm)],[])).
% 8.17/5.74 tff(7095,plain,
% 8.17/5.74 ((~(v95(constB59) <=> (~((~v1(constB59)) | (~v96(constB59)))))) | (~v95(constB59))),
% 8.17/5.74 inference(unit_resolution,[status(thm)],[7094, 7093])).
% 8.17/5.74 tff(7096,plain,
% 8.17/5.74 (~v95(constB59)),
% 8.17/5.74 inference(unit_resolution,[status(thm)],[7095, 7091])).
% 8.17/5.74 tff(7097,plain,
% 8.17/5.74 (((~v104(constB59)) | (~v95(constB59))) | v95(constB59)),
% 8.17/5.74 inference(tautology,[status(thm)],[])).
% 8.17/5.74 tff(7098,plain,
% 8.17/5.74 ((~v104(constB59)) | (~v95(constB59))),
% 8.17/5.74 inference(unit_resolution,[status(thm)],[7097, 7096])).
% 8.17/5.74 tff(7099,plain,
% 8.17/5.74 ((~(v94(constB59) <=> (~((~v104(constB59)) | (~v95(constB59)))))) | (~v94(constB59)) | (~((~v104(constB59)) | (~v95(constB59))))),
% 8.17/5.74 inference(tautology,[status(thm)],[])).
% 8.17/5.74 tff(7100,plain,
% 8.17/5.74 (~v94(constB59)),
% 8.17/5.74 inference(unit_resolution,[status(thm)],[7099, 7098, 7084])).
% 8.17/5.74 tff(7101,plain,
% 8.17/5.74 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB59) | (~nextState(constB58, constB59)) | ![B: $i] : ((~less_3(B)) | (v84(constB59, B) <=> v84(constB58, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB59) | (~nextState(constB58, constB59)) | ![B: $i] : ((~less_3(B)) | (v84(constB59, B) <=> v84(constB58, B))))),
% 8.17/5.74 inference(rewrite,[status(thm)],[])).
% 8.17/5.74 tff(7102,plain,
% 8.17/5.74 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB59) | (~nextState(constB58, constB59)) | ![B: $i] : ((~less_3(B)) | (v84(constB59, B) <=> v84(constB58, B))))),
% 8.17/5.74 inference(quant_inst,[status(thm)],[])).
% 8.17/5.74 tff(7103,plain,
% 8.17/5.74 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB59) | (~nextState(constB58, constB59)) | ![B: $i] : ((~less_3(B)) | (v84(constB59, B) <=> v84(constB58, B)))),
% 8.17/5.74 inference(modus_ponens,[status(thm)],[7102, 7101])).
% 8.17/5.74 tff(7104,plain,
% 8.17/5.74 (v94(constB59) | ![B: $i] : ((~less_3(B)) | (v84(constB59, B) <=> v84(constB58, B)))),
% 8.17/5.74 inference(unit_resolution,[status(thm)],[7103, 7080, 824])).
% 8.17/5.74 tff(7105,plain,
% 8.17/5.74 (![B: $i] : ((~less_3(B)) | (v84(constB59, B) <=> v84(constB58, B)))),
% 8.17/5.74 inference(unit_resolution,[status(thm)],[7104, 7100])).
% 8.17/5.74 tff(7106,plain,
% 8.17/5.74 (((~![B: $i] : ((~less_3(B)) | (v84(constB59, B) <=> v84(constB58, B)))) | ((~less_3(bitIndex2)) | (v84(constB59, bitIndex2) <=> v84(constB58, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB59, B) <=> v84(constB58, B)))) | (~less_3(bitIndex2)) | (v84(constB59, bitIndex2) <=> v84(constB58, bitIndex2)))),
% 8.17/5.74 inference(rewrite,[status(thm)],[])).
% 8.17/5.74 tff(7107,plain,
% 8.17/5.74 ((~![B: $i] : ((~less_3(B)) | (v84(constB59, B) <=> v84(constB58, B)))) | ((~less_3(bitIndex2)) | (v84(constB59, bitIndex2) <=> v84(constB58, bitIndex2)))),
% 8.17/5.74 inference(quant_inst,[status(thm)],[])).
% 8.17/5.74 tff(7108,plain,
% 8.17/5.74 ((~![B: $i] : ((~less_3(B)) | (v84(constB59, B) <=> v84(constB58, B)))) | (~less_3(bitIndex2)) | (v84(constB59, bitIndex2) <=> v84(constB58, bitIndex2))),
% 8.17/5.74 inference(modus_ponens,[status(thm)],[7107, 7106])).
% 8.17/5.74 tff(7109,plain,
% 8.17/5.74 (v84(constB59, bitIndex2) <=> v84(constB58, bitIndex2)),
% 8.17/5.74 inference(unit_resolution,[status(thm)],[7108, 832, 7105])).
% 8.17/5.74 tff(7110,plain,
% 8.17/5.74 (nextState(constB57, constB58) <=> nextState(constB57, constB58)),
% 8.17/5.74 inference(rewrite,[status(thm)],[])).
% 8.17/5.74 tff(7111,axiom,(nextState(constB57, constB58)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_57')).
% 8.17/5.74 tff(7112,plain,
% 8.17/5.74 (nextState(constB57, constB58)),
% 8.17/5.74 inference(modus_ponens,[status(thm)],[7111, 7110])).
% 8.17/5.74 tff(7113,plain,
% 8.17/5.74 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB57, constB58)) | (v94(constB58) <=> (~((~v104(constB58)) | (~v95(constB58))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB57, constB58)) | (v94(constB58) <=> (~((~v104(constB58)) | (~v95(constB58))))))),
% 8.17/5.74 inference(rewrite,[status(thm)],[])).
% 8.17/5.74 tff(7114,plain,
% 8.17/5.74 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB57, constB58)) | (v94(constB58) <=> (~((~v104(constB58)) | (~v95(constB58))))))),
% 8.17/5.74 inference(quant_inst,[status(thm)],[])).
% 8.17/5.74 tff(7115,plain,
% 8.17/5.74 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB57, constB58)) | (v94(constB58) <=> (~((~v104(constB58)) | (~v95(constB58)))))),
% 8.17/5.74 inference(modus_ponens,[status(thm)],[7114, 7113])).
% 8.17/5.74 tff(7116,plain,
% 8.17/5.74 (v94(constB58) <=> (~((~v104(constB58)) | (~v95(constB58))))),
% 8.17/5.74 inference(unit_resolution,[status(thm)],[7115, 7112, 775])).
% 8.17/5.74 tff(7117,plain,
% 8.17/5.74 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB57, constB58)) | (v95(constB58) <=> (~((~v1(constB58)) | (~v96(constB58))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB57, constB58)) | (v95(constB58) <=> (~((~v1(constB58)) | (~v96(constB58))))))),
% 8.17/5.74 inference(rewrite,[status(thm)],[])).
% 8.17/5.74 tff(7118,plain,
% 8.17/5.74 (((~nextState(constB57, constB58)) | (v95(constB58) <=> (~((~v96(constB58)) | (~v1(constB58)))))) <=> ((~nextState(constB57, constB58)) | (v95(constB58) <=> (~((~v1(constB58)) | (~v96(constB58))))))),
% 8.17/5.74 inference(rewrite,[status(thm)],[])).
% 8.17/5.74 tff(7119,plain,
% 8.17/5.74 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB57, constB58)) | (v95(constB58) <=> (~((~v96(constB58)) | (~v1(constB58))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB57, constB58)) | (v95(constB58) <=> (~((~v1(constB58)) | (~v96(constB58)))))))),
% 8.17/5.74 inference(monotonicity,[status(thm)],[7118])).
% 8.17/5.74 tff(7120,plain,
% 8.17/5.74 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB57, constB58)) | (v95(constB58) <=> (~((~v96(constB58)) | (~v1(constB58))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB57, constB58)) | (v95(constB58) <=> (~((~v1(constB58)) | (~v96(constB58))))))),
% 8.17/5.74 inference(transitivity,[status(thm)],[7119, 7117])).
% 8.17/5.74 tff(7121,plain,
% 8.17/5.74 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB57, constB58)) | (v95(constB58) <=> (~((~v96(constB58)) | (~v1(constB58))))))),
% 8.17/5.74 inference(quant_inst,[status(thm)],[])).
% 8.17/5.74 tff(7122,plain,
% 8.17/5.74 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB57, constB58)) | (v95(constB58) <=> (~((~v1(constB58)) | (~v96(constB58)))))),
% 8.17/5.74 inference(modus_ponens,[status(thm)],[7121, 7120])).
% 8.17/5.74 tff(7123,plain,
% 8.17/5.74 (v95(constB58) <=> (~((~v1(constB58)) | (~v96(constB58))))),
% 8.17/5.74 inference(unit_resolution,[status(thm)],[7122, 7112, 795])).
% 8.17/5.74 tff(7124,plain,
% 8.17/5.74 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB57, constB58)) | ((~v96(constB58)) <=> v98(constB58)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB57, constB58)) | ((~v96(constB58)) <=> v98(constB58)))),
% 8.17/5.74 inference(rewrite,[status(thm)],[])).
% 8.17/5.74 tff(7125,plain,
% 8.17/5.74 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB57, constB58)) | ((~v96(constB58)) <=> v98(constB58)))),
% 8.17/5.74 inference(quant_inst,[status(thm)],[])).
% 8.17/5.74 tff(7126,plain,
% 8.17/5.74 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB57, constB58)) | ((~v96(constB58)) <=> v98(constB58))),
% 8.17/5.74 inference(modus_ponens,[status(thm)],[7125, 7124])).
% 8.17/5.74 tff(7127,plain,
% 8.17/5.74 ((~v96(constB58)) <=> v98(constB58)),
% 8.17/5.74 inference(unit_resolution,[status(thm)],[7126, 7112, 860])).
% 8.17/5.74 tff(7128,plain,
% 8.17/5.74 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB57, constB58)) | (v98(constB58) <=> v1(constB57)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB57, constB58)) | (v98(constB58) <=> v1(constB57)))),
% 8.17/5.74 inference(rewrite,[status(thm)],[])).
% 8.17/5.74 tff(7129,plain,
% 8.17/5.74 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB57, constB58)) | (v98(constB58) <=> v1(constB57)))),
% 8.17/5.74 inference(quant_inst,[status(thm)],[])).
% 8.17/5.74 tff(7130,plain,
% 8.17/5.74 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB57, constB58)) | (v98(constB58) <=> v1(constB57))),
% 8.17/5.74 inference(modus_ponens,[status(thm)],[7129, 7128])).
% 8.17/5.74 tff(7131,plain,
% 8.17/5.74 (v98(constB58) <=> v1(constB57)),
% 8.17/5.74 inference(unit_resolution,[status(thm)],[7130, 7112, 874])).
% 8.17/5.74 tff(7132,plain,
% 8.17/5.74 ((~v1(constB57)) <=> (~v1(constB57))),
% 8.17/5.74 inference(rewrite,[status(thm)],[])).
% 8.17/5.74 tff(7133,axiom,(~v1(constB57)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_57')).
% 8.17/5.74 tff(7134,plain,
% 8.17/5.74 (~v1(constB57)),
% 8.17/5.74 inference(modus_ponens,[status(thm)],[7133, 7132])).
% 8.17/5.74 tff(7135,plain,
% 8.17/5.74 ((~(v98(constB58) <=> v1(constB57))) | (~v98(constB58)) | v1(constB57)),
% 8.17/5.74 inference(tautology,[status(thm)],[])).
% 8.17/5.74 tff(7136,plain,
% 8.17/5.74 ((~(v98(constB58) <=> v1(constB57))) | (~v98(constB58))),
% 8.17/5.74 inference(unit_resolution,[status(thm)],[7135, 7134])).
% 8.17/5.74 tff(7137,plain,
% 8.17/5.74 (~v98(constB58)),
% 8.17/5.74 inference(unit_resolution,[status(thm)],[7136, 7131])).
% 8.17/5.74 tff(7138,plain,
% 8.17/5.74 ((~((~v96(constB58)) <=> v98(constB58))) | v96(constB58) | v98(constB58)),
% 8.17/5.74 inference(tautology,[status(thm)],[])).
% 8.17/5.74 tff(7139,plain,
% 8.17/5.74 (v96(constB58)),
% 8.17/5.74 inference(unit_resolution,[status(thm)],[7138, 7137, 7127])).
% 8.17/5.74 tff(7140,plain,
% 8.17/5.74 (v1(constB58) <=> v1(constB58)),
% 8.17/5.74 inference(rewrite,[status(thm)],[])).
% 8.17/5.74 tff(7141,axiom,(v1(constB58)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_58')).
% 8.17/5.74 tff(7142,plain,
% 8.17/5.74 (v1(constB58)),
% 8.17/5.74 inference(modus_ponens,[status(thm)],[7141, 7140])).
% 8.17/5.74 tff(7143,plain,
% 8.17/5.74 ((~((~v1(constB58)) | (~v96(constB58)))) | (~v1(constB58)) | (~v96(constB58))),
% 8.17/5.74 inference(tautology,[status(thm)],[])).
% 8.17/5.74 tff(7144,plain,
% 8.17/5.74 ((~((~v1(constB58)) | (~v96(constB58)))) | (~v96(constB58))),
% 8.17/5.74 inference(unit_resolution,[status(thm)],[7143, 7142])).
% 8.17/5.74 tff(7145,plain,
% 8.17/5.74 (~((~v1(constB58)) | (~v96(constB58)))),
% 8.17/5.74 inference(unit_resolution,[status(thm)],[7144, 7139])).
% 8.17/5.74 tff(7146,plain,
% 8.17/5.74 ((~(v95(constB58) <=> (~((~v1(constB58)) | (~v96(constB58)))))) | v95(constB58) | ((~v1(constB58)) | (~v96(constB58)))),
% 8.17/5.74 inference(tautology,[status(thm)],[])).
% 8.17/5.74 tff(7147,plain,
% 8.17/5.74 (v95(constB58)),
% 8.17/5.74 inference(unit_resolution,[status(thm)],[7146, 7145, 7123])).
% 8.17/5.74 tff(7148,plain,
% 8.17/5.74 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB57, constB58)) | (v104(constB58) <=> v102(constB57)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB57, constB58)) | (v104(constB58) <=> v102(constB57)))),
% 8.17/5.74 inference(rewrite,[status(thm)],[])).
% 8.17/5.74 tff(7149,plain,
% 8.17/5.74 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB57, constB58)) | (v104(constB58) <=> v102(constB57)))),
% 8.17/5.74 inference(quant_inst,[status(thm)],[])).
% 8.17/5.74 tff(7150,plain,
% 8.17/5.74 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB57, constB58)) | (v104(constB58) <=> v102(constB57))),
% 8.17/5.74 inference(modus_ponens,[status(thm)],[7149, 7148])).
% 8.17/5.74 tff(7151,plain,
% 8.17/5.74 (v104(constB58) <=> v102(constB57)),
% 8.17/5.74 inference(unit_resolution,[status(thm)],[7150, 7112, 904])).
% 8.17/5.74 tff(7152,plain,
% 8.17/5.74 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB57) <=> (v105(constB57) | v106(constB57)))),
% 8.17/5.74 inference(quant_inst,[status(thm)],[])).
% 8.17/5.74 tff(7153,plain,
% 8.17/5.74 (v102(constB57) <=> (v105(constB57) | v106(constB57))),
% 8.17/5.74 inference(unit_resolution,[status(thm)],[7152, 915])).
% 8.17/5.74 tff(7154,plain,
% 8.17/5.74 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB57) <=> (~((~v107(constB57)) | (~v120(constB57)))))),
% 8.17/5.74 inference(quant_inst,[status(thm)],[])).
% 8.17/5.74 tff(7155,plain,
% 8.17/5.74 (v106(constB57) <=> (~((~v107(constB57)) | (~v120(constB57))))),
% 8.17/5.74 inference(unit_resolution,[status(thm)],[7154, 927])).
% 8.17/5.74 tff(7156,plain,
% 8.17/5.74 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB57) <=> (v108(constB57) | v119(constB57)))),
% 8.17/5.74 inference(quant_inst,[status(thm)],[])).
% 8.17/5.74 tff(7157,plain,
% 8.17/5.74 (v107(constB57) <=> (v108(constB57) | v119(constB57))),
% 8.17/5.74 inference(unit_resolution,[status(thm)],[7156, 936])).
% 8.17/5.74 tff(7158,plain,
% 8.17/5.74 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB57) <=> (v109(constB57) | v118(constB57)))),
% 8.17/5.74 inference(quant_inst,[status(thm)],[])).
% 8.17/5.74 tff(7159,plain,
% 8.17/5.74 (v108(constB57) <=> (v109(constB57) | v118(constB57))),
% 8.17/5.74 inference(unit_resolution,[status(thm)],[7158, 945])).
% 8.17/5.74 tff(7160,plain,
% 8.17/5.74 ((~![VarCurr: $i] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB57) <=> (v110(constB57) | v117(constB57)))),
% 8.17/5.74 inference(quant_inst,[status(thm)],[])).
% 8.17/5.74 tff(7161,plain,
% 8.17/5.74 (v109(constB57) <=> (v110(constB57) | v117(constB57))),
% 8.17/5.74 inference(unit_resolution,[status(thm)],[7160, 1056])).
% 8.17/5.74 tff(7162,plain,
% 8.17/5.74 (((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB57) <=> (~((~v84(constB57, bitIndex2)) | v84(constB57, bitIndex1) | v84(constB57, bitIndex0))))) <=> ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB57) <=> (~((~v84(constB57, bitIndex2)) | v84(constB57, bitIndex1) | v84(constB57, bitIndex0)))))),
% 8.17/5.74 inference(rewrite,[status(thm)],[])).
% 8.17/5.74 tff(7163,plain,
% 8.17/5.74 ((v117(constB57) <=> (~(v84(constB57, bitIndex0) | v84(constB57, bitIndex1) | (~v84(constB57, bitIndex2))))) <=> (v117(constB57) <=> (~((~v84(constB57, bitIndex2)) | v84(constB57, bitIndex1) | v84(constB57, bitIndex0))))),
% 8.17/5.74 inference(rewrite,[status(thm)],[])).
% 8.17/5.74 tff(7164,plain,
% 8.17/5.74 (((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB57) <=> (~(v84(constB57, bitIndex0) | v84(constB57, bitIndex1) | (~v84(constB57, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB57) <=> (~((~v84(constB57, bitIndex2)) | v84(constB57, bitIndex1) | v84(constB57, bitIndex0)))))),
% 8.17/5.74 inference(monotonicity,[status(thm)],[7163])).
% 8.17/5.74 tff(7165,plain,
% 8.17/5.74 (((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB57) <=> (~(v84(constB57, bitIndex0) | v84(constB57, bitIndex1) | (~v84(constB57, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB57) <=> (~((~v84(constB57, bitIndex2)) | v84(constB57, bitIndex1) | v84(constB57, bitIndex0)))))),
% 8.17/5.74 inference(transitivity,[status(thm)],[7164, 7162])).
% 8.17/5.74 tff(7166,plain,
% 8.17/5.74 ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB57) <=> (~(v84(constB57, bitIndex0) | v84(constB57, bitIndex1) | (~v84(constB57, bitIndex2)))))),
% 8.17/5.74 inference(quant_inst,[status(thm)],[])).
% 8.17/5.74 tff(7167,plain,
% 8.17/5.74 ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB57) <=> (~((~v84(constB57, bitIndex2)) | v84(constB57, bitIndex1) | v84(constB57, bitIndex0))))),
% 8.17/5.74 inference(modus_ponens,[status(thm)],[7166, 7165])).
% 8.17/5.74 tff(7168,plain,
% 8.17/5.74 (v117(constB57) <=> (~((~v84(constB57, bitIndex2)) | v84(constB57, bitIndex1) | v84(constB57, bitIndex0)))),
% 8.17/5.74 inference(unit_resolution,[status(thm)],[7167, 1071])).
% 8.17/5.74 tff(7169,plain,
% 8.17/5.74 (nextState(constB56, constB57) <=> nextState(constB56, constB57)),
% 8.17/5.74 inference(rewrite,[status(thm)],[])).
% 8.17/5.74 tff(7170,axiom,(nextState(constB56, constB57)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_56')).
% 8.17/5.74 tff(7171,plain,
% 8.17/5.74 (nextState(constB56, constB57)),
% 8.17/5.74 inference(modus_ponens,[status(thm)],[7170, 7169])).
% 8.17/5.74 tff(7172,plain,
% 8.17/5.74 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB56, constB57)) | (v94(constB57) <=> (~((~v104(constB57)) | (~v95(constB57))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB56, constB57)) | (v94(constB57) <=> (~((~v104(constB57)) | (~v95(constB57))))))),
% 8.17/5.74 inference(rewrite,[status(thm)],[])).
% 8.17/5.74 tff(7173,plain,
% 8.17/5.74 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB56, constB57)) | (v94(constB57) <=> (~((~v104(constB57)) | (~v95(constB57))))))),
% 8.17/5.74 inference(quant_inst,[status(thm)],[])).
% 8.17/5.74 tff(7174,plain,
% 8.17/5.74 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB56, constB57)) | (v94(constB57) <=> (~((~v104(constB57)) | (~v95(constB57)))))),
% 8.17/5.74 inference(modus_ponens,[status(thm)],[7173, 7172])).
% 8.17/5.74 tff(7175,plain,
% 8.17/5.74 (v94(constB57) <=> (~((~v104(constB57)) | (~v95(constB57))))),
% 8.17/5.74 inference(unit_resolution,[status(thm)],[7174, 7171, 775])).
% 8.17/5.74 tff(7176,plain,
% 8.17/5.74 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB56, constB57)) | (v95(constB57) <=> (~((~v1(constB57)) | (~v96(constB57))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB56, constB57)) | (v95(constB57) <=> (~((~v1(constB57)) | (~v96(constB57))))))),
% 8.17/5.74 inference(rewrite,[status(thm)],[])).
% 8.17/5.74 tff(7177,plain,
% 8.17/5.74 (((~nextState(constB56, constB57)) | (v95(constB57) <=> (~((~v96(constB57)) | (~v1(constB57)))))) <=> ((~nextState(constB56, constB57)) | (v95(constB57) <=> (~((~v1(constB57)) | (~v96(constB57))))))),
% 8.17/5.74 inference(rewrite,[status(thm)],[])).
% 8.17/5.74 tff(7178,plain,
% 8.17/5.74 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB56, constB57)) | (v95(constB57) <=> (~((~v96(constB57)) | (~v1(constB57))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB56, constB57)) | (v95(constB57) <=> (~((~v1(constB57)) | (~v96(constB57)))))))),
% 8.17/5.74 inference(monotonicity,[status(thm)],[7177])).
% 8.17/5.74 tff(7179,plain,
% 8.17/5.74 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB56, constB57)) | (v95(constB57) <=> (~((~v96(constB57)) | (~v1(constB57))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB56, constB57)) | (v95(constB57) <=> (~((~v1(constB57)) | (~v96(constB57))))))),
% 8.17/5.74 inference(transitivity,[status(thm)],[7178, 7176])).
% 8.17/5.74 tff(7180,plain,
% 8.17/5.74 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB56, constB57)) | (v95(constB57) <=> (~((~v96(constB57)) | (~v1(constB57))))))),
% 8.17/5.74 inference(quant_inst,[status(thm)],[])).
% 8.17/5.74 tff(7181,plain,
% 8.17/5.74 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB56, constB57)) | (v95(constB57) <=> (~((~v1(constB57)) | (~v96(constB57)))))),
% 8.17/5.74 inference(modus_ponens,[status(thm)],[7180, 7179])).
% 8.17/5.74 tff(7182,plain,
% 8.17/5.74 (v95(constB57) <=> (~((~v1(constB57)) | (~v96(constB57))))),
% 8.17/5.74 inference(unit_resolution,[status(thm)],[7181, 7171, 795])).
% 8.17/5.74 tff(7183,plain,
% 8.17/5.74 (((~v1(constB57)) | (~v96(constB57))) | v1(constB57)),
% 8.17/5.74 inference(tautology,[status(thm)],[])).
% 8.17/5.74 tff(7184,plain,
% 8.17/5.74 ((~v1(constB57)) | (~v96(constB57))),
% 8.17/5.74 inference(unit_resolution,[status(thm)],[7183, 7134])).
% 8.17/5.74 tff(7185,plain,
% 8.17/5.74 ((~(v95(constB57) <=> (~((~v1(constB57)) | (~v96(constB57)))))) | (~v95(constB57)) | (~((~v1(constB57)) | (~v96(constB57))))),
% 8.17/5.74 inference(tautology,[status(thm)],[])).
% 8.17/5.74 tff(7186,plain,
% 8.17/5.74 ((~(v95(constB57) <=> (~((~v1(constB57)) | (~v96(constB57)))))) | (~v95(constB57))),
% 8.17/5.74 inference(unit_resolution,[status(thm)],[7185, 7184])).
% 8.17/5.74 tff(7187,plain,
% 8.17/5.74 (~v95(constB57)),
% 8.17/5.74 inference(unit_resolution,[status(thm)],[7186, 7182])).
% 8.17/5.74 tff(7188,plain,
% 8.17/5.74 (((~v104(constB57)) | (~v95(constB57))) | v95(constB57)),
% 8.17/5.74 inference(tautology,[status(thm)],[])).
% 8.17/5.74 tff(7189,plain,
% 8.17/5.74 ((~v104(constB57)) | (~v95(constB57))),
% 8.17/5.74 inference(unit_resolution,[status(thm)],[7188, 7187])).
% 8.17/5.74 tff(7190,plain,
% 8.17/5.74 ((~(v94(constB57) <=> (~((~v104(constB57)) | (~v95(constB57)))))) | (~v94(constB57)) | (~((~v104(constB57)) | (~v95(constB57))))),
% 8.17/5.74 inference(tautology,[status(thm)],[])).
% 8.17/5.74 tff(7191,plain,
% 8.17/5.74 (~v94(constB57)),
% 8.17/5.74 inference(unit_resolution,[status(thm)],[7190, 7189, 7175])).
% 8.17/5.74 tff(7192,plain,
% 8.17/5.74 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB57) | (~nextState(constB56, constB57)) | ![B: $i] : ((~less_3(B)) | (v84(constB57, B) <=> v84(constB56, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB57) | (~nextState(constB56, constB57)) | ![B: $i] : ((~less_3(B)) | (v84(constB57, B) <=> v84(constB56, B))))),
% 8.17/5.74 inference(rewrite,[status(thm)],[])).
% 8.17/5.74 tff(7193,plain,
% 8.17/5.74 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB57) | (~nextState(constB56, constB57)) | ![B: $i] : ((~less_3(B)) | (v84(constB57, B) <=> v84(constB56, B))))),
% 8.17/5.74 inference(quant_inst,[status(thm)],[])).
% 8.17/5.74 tff(7194,plain,
% 8.17/5.74 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB57) | (~nextState(constB56, constB57)) | ![B: $i] : ((~less_3(B)) | (v84(constB57, B) <=> v84(constB56, B)))),
% 8.17/5.74 inference(modus_ponens,[status(thm)],[7193, 7192])).
% 8.17/5.74 tff(7195,plain,
% 8.17/5.74 (v94(constB57) | ![B: $i] : ((~less_3(B)) | (v84(constB57, B) <=> v84(constB56, B)))),
% 8.17/5.74 inference(unit_resolution,[status(thm)],[7194, 7171, 824])).
% 8.17/5.74 tff(7196,plain,
% 8.17/5.74 (![B: $i] : ((~less_3(B)) | (v84(constB57, B) <=> v84(constB56, B)))),
% 8.17/5.74 inference(unit_resolution,[status(thm)],[7195, 7191])).
% 8.17/5.74 tff(7197,plain,
% 8.17/5.74 (((~![B: $i] : ((~less_3(B)) | (v84(constB57, B) <=> v84(constB56, B)))) | ((~less_3(bitIndex2)) | (v84(constB57, bitIndex2) <=> v84(constB56, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB57, B) <=> v84(constB56, B)))) | (~less_3(bitIndex2)) | (v84(constB57, bitIndex2) <=> v84(constB56, bitIndex2)))),
% 8.17/5.74 inference(rewrite,[status(thm)],[])).
% 8.17/5.74 tff(7198,plain,
% 8.17/5.74 ((~![B: $i] : ((~less_3(B)) | (v84(constB57, B) <=> v84(constB56, B)))) | ((~less_3(bitIndex2)) | (v84(constB57, bitIndex2) <=> v84(constB56, bitIndex2)))),
% 8.17/5.74 inference(quant_inst,[status(thm)],[])).
% 8.17/5.74 tff(7199,plain,
% 8.17/5.74 ((~![B: $i] : ((~less_3(B)) | (v84(constB57, B) <=> v84(constB56, B)))) | (~less_3(bitIndex2)) | (v84(constB57, bitIndex2) <=> v84(constB56, bitIndex2))),
% 8.17/5.74 inference(modus_ponens,[status(thm)],[7198, 7197])).
% 8.17/5.74 tff(7200,plain,
% 8.17/5.74 (v84(constB57, bitIndex2) <=> v84(constB56, bitIndex2)),
% 8.17/5.74 inference(unit_resolution,[status(thm)],[7199, 832, 7196])).
% 8.17/5.74 tff(7201,plain,
% 8.17/5.74 (nextState(constB55, constB56) <=> nextState(constB55, constB56)),
% 8.17/5.74 inference(rewrite,[status(thm)],[])).
% 8.17/5.74 tff(7202,axiom,(nextState(constB55, constB56)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_55')).
% 8.17/5.74 tff(7203,plain,
% 8.17/5.74 (nextState(constB55, constB56)),
% 8.17/5.74 inference(modus_ponens,[status(thm)],[7202, 7201])).
% 8.17/5.74 tff(7204,plain,
% 8.17/5.74 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB55, constB56)) | (v94(constB56) <=> (~((~v104(constB56)) | (~v95(constB56))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB55, constB56)) | (v94(constB56) <=> (~((~v104(constB56)) | (~v95(constB56))))))),
% 8.17/5.74 inference(rewrite,[status(thm)],[])).
% 8.17/5.74 tff(7205,plain,
% 8.17/5.74 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB55, constB56)) | (v94(constB56) <=> (~((~v104(constB56)) | (~v95(constB56))))))),
% 8.17/5.74 inference(quant_inst,[status(thm)],[])).
% 8.17/5.74 tff(7206,plain,
% 8.17/5.74 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB55, constB56)) | (v94(constB56) <=> (~((~v104(constB56)) | (~v95(constB56)))))),
% 8.17/5.74 inference(modus_ponens,[status(thm)],[7205, 7204])).
% 8.17/5.74 tff(7207,plain,
% 8.17/5.74 (v94(constB56) <=> (~((~v104(constB56)) | (~v95(constB56))))),
% 8.17/5.74 inference(unit_resolution,[status(thm)],[7206, 7203, 775])).
% 8.17/5.74 tff(7208,plain,
% 8.17/5.74 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB55, constB56)) | (v95(constB56) <=> (~((~v1(constB56)) | (~v96(constB56))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB55, constB56)) | (v95(constB56) <=> (~((~v1(constB56)) | (~v96(constB56))))))),
% 8.17/5.75 inference(rewrite,[status(thm)],[])).
% 8.17/5.75 tff(7209,plain,
% 8.17/5.75 (((~nextState(constB55, constB56)) | (v95(constB56) <=> (~((~v96(constB56)) | (~v1(constB56)))))) <=> ((~nextState(constB55, constB56)) | (v95(constB56) <=> (~((~v1(constB56)) | (~v96(constB56))))))),
% 8.17/5.75 inference(rewrite,[status(thm)],[])).
% 8.17/5.75 tff(7210,plain,
% 8.17/5.75 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB55, constB56)) | (v95(constB56) <=> (~((~v96(constB56)) | (~v1(constB56))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB55, constB56)) | (v95(constB56) <=> (~((~v1(constB56)) | (~v96(constB56)))))))),
% 8.17/5.75 inference(monotonicity,[status(thm)],[7209])).
% 8.17/5.75 tff(7211,plain,
% 8.17/5.75 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB55, constB56)) | (v95(constB56) <=> (~((~v96(constB56)) | (~v1(constB56))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB55, constB56)) | (v95(constB56) <=> (~((~v1(constB56)) | (~v96(constB56))))))),
% 8.17/5.75 inference(transitivity,[status(thm)],[7210, 7208])).
% 8.17/5.75 tff(7212,plain,
% 8.17/5.75 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB55, constB56)) | (v95(constB56) <=> (~((~v96(constB56)) | (~v1(constB56))))))),
% 8.17/5.75 inference(quant_inst,[status(thm)],[])).
% 8.17/5.75 tff(7213,plain,
% 8.17/5.75 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB55, constB56)) | (v95(constB56) <=> (~((~v1(constB56)) | (~v96(constB56)))))),
% 8.17/5.75 inference(modus_ponens,[status(thm)],[7212, 7211])).
% 8.17/5.75 tff(7214,plain,
% 8.17/5.75 (v95(constB56) <=> (~((~v1(constB56)) | (~v96(constB56))))),
% 8.17/5.75 inference(unit_resolution,[status(thm)],[7213, 7203, 795])).
% 8.17/5.75 tff(7215,plain,
% 8.17/5.75 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB55, constB56)) | ((~v96(constB56)) <=> v98(constB56)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB55, constB56)) | ((~v96(constB56)) <=> v98(constB56)))),
% 8.17/5.75 inference(rewrite,[status(thm)],[])).
% 8.17/5.75 tff(7216,plain,
% 8.17/5.75 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB55, constB56)) | ((~v96(constB56)) <=> v98(constB56)))),
% 8.17/5.75 inference(quant_inst,[status(thm)],[])).
% 8.17/5.75 tff(7217,plain,
% 8.17/5.75 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB55, constB56)) | ((~v96(constB56)) <=> v98(constB56))),
% 8.17/5.75 inference(modus_ponens,[status(thm)],[7216, 7215])).
% 8.17/5.75 tff(7218,plain,
% 8.17/5.75 ((~v96(constB56)) <=> v98(constB56)),
% 8.17/5.75 inference(unit_resolution,[status(thm)],[7217, 7203, 860])).
% 8.17/5.75 tff(7219,plain,
% 8.17/5.75 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB55, constB56)) | (v98(constB56) <=> v1(constB55)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB55, constB56)) | (v98(constB56) <=> v1(constB55)))),
% 8.17/5.75 inference(rewrite,[status(thm)],[])).
% 8.17/5.75 tff(7220,plain,
% 8.17/5.75 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB55, constB56)) | (v98(constB56) <=> v1(constB55)))),
% 8.17/5.75 inference(quant_inst,[status(thm)],[])).
% 8.17/5.75 tff(7221,plain,
% 8.17/5.75 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB55, constB56)) | (v98(constB56) <=> v1(constB55))),
% 8.17/5.75 inference(modus_ponens,[status(thm)],[7220, 7219])).
% 8.17/5.75 tff(7222,plain,
% 8.17/5.75 (v98(constB56) <=> v1(constB55)),
% 8.17/5.75 inference(unit_resolution,[status(thm)],[7221, 7203, 874])).
% 8.17/5.75 tff(7223,plain,
% 8.17/5.75 ((~v1(constB55)) <=> (~v1(constB55))),
% 8.17/5.75 inference(rewrite,[status(thm)],[])).
% 8.17/5.75 tff(7224,axiom,(~v1(constB55)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_55')).
% 8.17/5.75 tff(7225,plain,
% 8.17/5.75 (~v1(constB55)),
% 8.17/5.75 inference(modus_ponens,[status(thm)],[7224, 7223])).
% 8.17/5.75 tff(7226,plain,
% 8.17/5.75 ((~(v98(constB56) <=> v1(constB55))) | (~v98(constB56)) | v1(constB55)),
% 8.17/5.75 inference(tautology,[status(thm)],[])).
% 8.17/5.75 tff(7227,plain,
% 8.17/5.75 ((~(v98(constB56) <=> v1(constB55))) | (~v98(constB56))),
% 8.17/5.75 inference(unit_resolution,[status(thm)],[7226, 7225])).
% 8.17/5.75 tff(7228,plain,
% 8.17/5.75 (~v98(constB56)),
% 8.17/5.75 inference(unit_resolution,[status(thm)],[7227, 7222])).
% 8.17/5.75 tff(7229,plain,
% 8.17/5.75 ((~((~v96(constB56)) <=> v98(constB56))) | v96(constB56) | v98(constB56)),
% 8.17/5.75 inference(tautology,[status(thm)],[])).
% 8.17/5.75 tff(7230,plain,
% 8.17/5.75 (v96(constB56)),
% 8.17/5.75 inference(unit_resolution,[status(thm)],[7229, 7228, 7218])).
% 8.17/5.75 tff(7231,plain,
% 8.17/5.75 (v1(constB56) <=> v1(constB56)),
% 8.17/5.75 inference(rewrite,[status(thm)],[])).
% 8.17/5.75 tff(7232,axiom,(v1(constB56)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_56')).
% 8.17/5.75 tff(7233,plain,
% 8.17/5.75 (v1(constB56)),
% 8.17/5.75 inference(modus_ponens,[status(thm)],[7232, 7231])).
% 8.17/5.75 tff(7234,plain,
% 8.17/5.75 ((~((~v1(constB56)) | (~v96(constB56)))) | (~v1(constB56)) | (~v96(constB56))),
% 8.17/5.75 inference(tautology,[status(thm)],[])).
% 8.17/5.75 tff(7235,plain,
% 8.17/5.75 ((~((~v1(constB56)) | (~v96(constB56)))) | (~v96(constB56))),
% 8.17/5.75 inference(unit_resolution,[status(thm)],[7234, 7233])).
% 8.17/5.75 tff(7236,plain,
% 8.17/5.75 (~((~v1(constB56)) | (~v96(constB56)))),
% 8.17/5.75 inference(unit_resolution,[status(thm)],[7235, 7230])).
% 8.17/5.75 tff(7237,plain,
% 8.17/5.75 ((~(v95(constB56) <=> (~((~v1(constB56)) | (~v96(constB56)))))) | v95(constB56) | ((~v1(constB56)) | (~v96(constB56)))),
% 8.17/5.75 inference(tautology,[status(thm)],[])).
% 8.17/5.75 tff(7238,plain,
% 8.17/5.75 (v95(constB56)),
% 8.17/5.75 inference(unit_resolution,[status(thm)],[7237, 7236, 7214])).
% 8.17/5.75 tff(7239,plain,
% 8.17/5.75 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB55, constB56)) | (v104(constB56) <=> v102(constB55)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB55, constB56)) | (v104(constB56) <=> v102(constB55)))),
% 8.17/5.75 inference(rewrite,[status(thm)],[])).
% 8.17/5.75 tff(7240,plain,
% 8.17/5.75 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB55, constB56)) | (v104(constB56) <=> v102(constB55)))),
% 8.17/5.75 inference(quant_inst,[status(thm)],[])).
% 8.17/5.75 tff(7241,plain,
% 8.17/5.75 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB55, constB56)) | (v104(constB56) <=> v102(constB55))),
% 8.17/5.75 inference(modus_ponens,[status(thm)],[7240, 7239])).
% 8.17/5.75 tff(7242,plain,
% 8.17/5.75 (v104(constB56) <=> v102(constB55)),
% 8.17/5.75 inference(unit_resolution,[status(thm)],[7241, 7203, 904])).
% 8.17/5.75 tff(7243,plain,
% 8.17/5.75 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB55) <=> (v105(constB55) | v106(constB55)))),
% 8.17/5.75 inference(quant_inst,[status(thm)],[])).
% 8.17/5.75 tff(7244,plain,
% 8.17/5.75 (v102(constB55) <=> (v105(constB55) | v106(constB55))),
% 8.17/5.75 inference(unit_resolution,[status(thm)],[7243, 915])).
% 8.17/5.75 tff(7245,plain,
% 8.17/5.75 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB55) <=> (~((~v107(constB55)) | (~v120(constB55)))))),
% 8.17/5.75 inference(quant_inst,[status(thm)],[])).
% 8.17/5.75 tff(7246,plain,
% 8.17/5.75 (v106(constB55) <=> (~((~v107(constB55)) | (~v120(constB55))))),
% 8.17/5.75 inference(unit_resolution,[status(thm)],[7245, 927])).
% 8.17/5.75 tff(7247,plain,
% 8.17/5.75 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB55) <=> (v108(constB55) | v119(constB55)))),
% 8.17/5.75 inference(quant_inst,[status(thm)],[])).
% 8.17/5.75 tff(7248,plain,
% 8.17/5.75 (v107(constB55) <=> (v108(constB55) | v119(constB55))),
% 8.17/5.75 inference(unit_resolution,[status(thm)],[7247, 936])).
% 8.17/5.75 tff(7249,plain,
% 8.17/5.75 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB55) <=> (v109(constB55) | v118(constB55)))),
% 8.17/5.75 inference(quant_inst,[status(thm)],[])).
% 8.17/5.75 tff(7250,plain,
% 8.17/5.75 (v108(constB55) <=> (v109(constB55) | v118(constB55))),
% 8.17/5.75 inference(unit_resolution,[status(thm)],[7249, 945])).
% 8.17/5.75 tff(7251,plain,
% 8.17/5.75 ((~![VarCurr: $i] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB55) <=> (v110(constB55) | v117(constB55)))),
% 8.17/5.75 inference(quant_inst,[status(thm)],[])).
% 8.17/5.75 tff(7252,plain,
% 8.17/5.75 (v109(constB55) <=> (v110(constB55) | v117(constB55))),
% 8.17/5.75 inference(unit_resolution,[status(thm)],[7251, 1056])).
% 8.17/5.75 tff(7253,plain,
% 8.17/5.75 ((~![VarCurr: $i] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB55) <=> (v111(constB55) | v116(constB55)))),
% 8.17/5.75 inference(quant_inst,[status(thm)],[])).
% 8.17/5.75 tff(7254,plain,
% 8.17/5.75 (v110(constB55) <=> (v111(constB55) | v116(constB55))),
% 8.17/5.75 inference(unit_resolution,[status(thm)],[7253, 1169])).
% 8.17/5.75 tff(7255,plain,
% 8.17/5.75 ((~![VarCurr: $i] : (v116(VarCurr) <=> (~(v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex0)))))) | (v116(constB55) <=> (~(v84(constB55, bitIndex2) | (~v84(constB55, bitIndex1)) | (~v84(constB55, bitIndex0)))))),
% 8.17/5.75 inference(quant_inst,[status(thm)],[])).
% 8.17/5.75 tff(7256,plain,
% 8.17/5.75 (v116(constB55) <=> (~(v84(constB55, bitIndex2) | (~v84(constB55, bitIndex1)) | (~v84(constB55, bitIndex0))))),
% 8.17/5.75 inference(unit_resolution,[status(thm)],[7255, 1184])).
% 8.17/5.75 tff(7257,plain,
% 8.17/5.75 (nextState(constB54, constB55) <=> nextState(constB54, constB55)),
% 8.17/5.75 inference(rewrite,[status(thm)],[])).
% 8.17/5.75 tff(7258,axiom,(nextState(constB54, constB55)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_54')).
% 8.17/5.75 tff(7259,plain,
% 8.17/5.75 (nextState(constB54, constB55)),
% 8.17/5.75 inference(modus_ponens,[status(thm)],[7258, 7257])).
% 8.17/5.75 tff(7260,plain,
% 8.17/5.75 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB54, constB55)) | (v94(constB55) <=> (~((~v104(constB55)) | (~v95(constB55))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB54, constB55)) | (v94(constB55) <=> (~((~v104(constB55)) | (~v95(constB55))))))),
% 8.17/5.75 inference(rewrite,[status(thm)],[])).
% 8.17/5.75 tff(7261,plain,
% 8.17/5.75 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB54, constB55)) | (v94(constB55) <=> (~((~v104(constB55)) | (~v95(constB55))))))),
% 8.17/5.75 inference(quant_inst,[status(thm)],[])).
% 8.17/5.75 tff(7262,plain,
% 8.17/5.75 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB54, constB55)) | (v94(constB55) <=> (~((~v104(constB55)) | (~v95(constB55)))))),
% 8.17/5.75 inference(modus_ponens,[status(thm)],[7261, 7260])).
% 8.17/5.75 tff(7263,plain,
% 8.17/5.75 (v94(constB55) <=> (~((~v104(constB55)) | (~v95(constB55))))),
% 8.17/5.75 inference(unit_resolution,[status(thm)],[7262, 7259, 775])).
% 8.17/5.75 tff(7264,plain,
% 8.17/5.75 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB54, constB55)) | (v95(constB55) <=> (~((~v1(constB55)) | (~v96(constB55))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB54, constB55)) | (v95(constB55) <=> (~((~v1(constB55)) | (~v96(constB55))))))),
% 8.17/5.75 inference(rewrite,[status(thm)],[])).
% 8.17/5.75 tff(7265,plain,
% 8.17/5.75 (((~nextState(constB54, constB55)) | (v95(constB55) <=> (~((~v96(constB55)) | (~v1(constB55)))))) <=> ((~nextState(constB54, constB55)) | (v95(constB55) <=> (~((~v1(constB55)) | (~v96(constB55))))))),
% 8.17/5.75 inference(rewrite,[status(thm)],[])).
% 8.17/5.75 tff(7266,plain,
% 8.17/5.75 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB54, constB55)) | (v95(constB55) <=> (~((~v96(constB55)) | (~v1(constB55))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB54, constB55)) | (v95(constB55) <=> (~((~v1(constB55)) | (~v96(constB55)))))))),
% 8.17/5.75 inference(monotonicity,[status(thm)],[7265])).
% 8.17/5.75 tff(7267,plain,
% 8.17/5.75 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB54, constB55)) | (v95(constB55) <=> (~((~v96(constB55)) | (~v1(constB55))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB54, constB55)) | (v95(constB55) <=> (~((~v1(constB55)) | (~v96(constB55))))))),
% 8.17/5.75 inference(transitivity,[status(thm)],[7266, 7264])).
% 8.17/5.75 tff(7268,plain,
% 8.17/5.75 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB54, constB55)) | (v95(constB55) <=> (~((~v96(constB55)) | (~v1(constB55))))))),
% 8.17/5.75 inference(quant_inst,[status(thm)],[])).
% 8.17/5.75 tff(7269,plain,
% 8.17/5.75 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB54, constB55)) | (v95(constB55) <=> (~((~v1(constB55)) | (~v96(constB55)))))),
% 8.17/5.75 inference(modus_ponens,[status(thm)],[7268, 7267])).
% 8.17/5.75 tff(7270,plain,
% 8.17/5.75 (v95(constB55) <=> (~((~v1(constB55)) | (~v96(constB55))))),
% 8.17/5.75 inference(unit_resolution,[status(thm)],[7269, 7259, 795])).
% 8.17/5.75 tff(7271,plain,
% 8.17/5.75 (((~v1(constB55)) | (~v96(constB55))) | v1(constB55)),
% 8.17/5.75 inference(tautology,[status(thm)],[])).
% 8.17/5.75 tff(7272,plain,
% 8.17/5.75 ((~v1(constB55)) | (~v96(constB55))),
% 8.17/5.75 inference(unit_resolution,[status(thm)],[7271, 7225])).
% 8.17/5.75 tff(7273,plain,
% 8.17/5.75 ((~(v95(constB55) <=> (~((~v1(constB55)) | (~v96(constB55)))))) | (~v95(constB55)) | (~((~v1(constB55)) | (~v96(constB55))))),
% 8.17/5.75 inference(tautology,[status(thm)],[])).
% 8.17/5.75 tff(7274,plain,
% 8.17/5.75 ((~(v95(constB55) <=> (~((~v1(constB55)) | (~v96(constB55)))))) | (~v95(constB55))),
% 8.17/5.75 inference(unit_resolution,[status(thm)],[7273, 7272])).
% 8.17/5.75 tff(7275,plain,
% 8.17/5.75 (~v95(constB55)),
% 8.17/5.75 inference(unit_resolution,[status(thm)],[7274, 7270])).
% 8.17/5.75 tff(7276,plain,
% 8.17/5.75 (((~v104(constB55)) | (~v95(constB55))) | v95(constB55)),
% 8.17/5.75 inference(tautology,[status(thm)],[])).
% 8.17/5.75 tff(7277,plain,
% 8.17/5.75 ((~v104(constB55)) | (~v95(constB55))),
% 8.17/5.75 inference(unit_resolution,[status(thm)],[7276, 7275])).
% 8.17/5.75 tff(7278,plain,
% 8.17/5.75 ((~(v94(constB55) <=> (~((~v104(constB55)) | (~v95(constB55)))))) | (~v94(constB55)) | (~((~v104(constB55)) | (~v95(constB55))))),
% 8.17/5.75 inference(tautology,[status(thm)],[])).
% 8.17/5.75 tff(7279,plain,
% 8.17/5.75 (~v94(constB55)),
% 8.17/5.75 inference(unit_resolution,[status(thm)],[7278, 7277, 7263])).
% 8.17/5.75 tff(7280,plain,
% 8.17/5.75 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB55) | (~nextState(constB54, constB55)) | ![B: $i] : ((~less_3(B)) | (v84(constB55, B) <=> v84(constB54, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB55) | (~nextState(constB54, constB55)) | ![B: $i] : ((~less_3(B)) | (v84(constB55, B) <=> v84(constB54, B))))),
% 8.17/5.75 inference(rewrite,[status(thm)],[])).
% 8.17/5.75 tff(7281,plain,
% 8.17/5.75 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB55) | (~nextState(constB54, constB55)) | ![B: $i] : ((~less_3(B)) | (v84(constB55, B) <=> v84(constB54, B))))),
% 8.17/5.75 inference(quant_inst,[status(thm)],[])).
% 8.17/5.75 tff(7282,plain,
% 8.17/5.75 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB55) | (~nextState(constB54, constB55)) | ![B: $i] : ((~less_3(B)) | (v84(constB55, B) <=> v84(constB54, B)))),
% 8.17/5.75 inference(modus_ponens,[status(thm)],[7281, 7280])).
% 8.17/5.75 tff(7283,plain,
% 8.17/5.75 (v94(constB55) | ![B: $i] : ((~less_3(B)) | (v84(constB55, B) <=> v84(constB54, B)))),
% 8.17/5.75 inference(unit_resolution,[status(thm)],[7282, 7259, 824])).
% 8.17/5.75 tff(7284,plain,
% 8.17/5.75 (![B: $i] : ((~less_3(B)) | (v84(constB55, B) <=> v84(constB54, B)))),
% 8.17/5.75 inference(unit_resolution,[status(thm)],[7283, 7279])).
% 8.17/5.75 tff(7285,plain,
% 8.17/5.75 (((~![B: $i] : ((~less_3(B)) | (v84(constB55, B) <=> v84(constB54, B)))) | ((~less_3(bitIndex2)) | (v84(constB55, bitIndex2) <=> v84(constB54, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB55, B) <=> v84(constB54, B)))) | (~less_3(bitIndex2)) | (v84(constB55, bitIndex2) <=> v84(constB54, bitIndex2)))),
% 8.17/5.75 inference(rewrite,[status(thm)],[])).
% 8.17/5.75 tff(7286,plain,
% 8.17/5.75 ((~![B: $i] : ((~less_3(B)) | (v84(constB55, B) <=> v84(constB54, B)))) | ((~less_3(bitIndex2)) | (v84(constB55, bitIndex2) <=> v84(constB54, bitIndex2)))),
% 8.17/5.75 inference(quant_inst,[status(thm)],[])).
% 8.17/5.75 tff(7287,plain,
% 8.17/5.75 ((~![B: $i] : ((~less_3(B)) | (v84(constB55, B) <=> v84(constB54, B)))) | (~less_3(bitIndex2)) | (v84(constB55, bitIndex2) <=> v84(constB54, bitIndex2))),
% 8.17/5.75 inference(modus_ponens,[status(thm)],[7286, 7285])).
% 8.17/5.75 tff(7288,plain,
% 8.17/5.75 (v84(constB55, bitIndex2) <=> v84(constB54, bitIndex2)),
% 8.17/5.75 inference(unit_resolution,[status(thm)],[7287, 832, 7284])).
% 8.17/5.75 tff(7289,plain,
% 8.17/5.75 (nextState(constB53, constB54) <=> nextState(constB53, constB54)),
% 8.17/5.75 inference(rewrite,[status(thm)],[])).
% 8.17/5.75 tff(7290,axiom,(nextState(constB53, constB54)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_53')).
% 8.17/5.75 tff(7291,plain,
% 8.17/5.75 (nextState(constB53, constB54)),
% 8.17/5.75 inference(modus_ponens,[status(thm)],[7290, 7289])).
% 8.17/5.75 tff(7292,plain,
% 8.17/5.75 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB53, constB54)) | (v94(constB54) <=> (~((~v104(constB54)) | (~v95(constB54))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB53, constB54)) | (v94(constB54) <=> (~((~v104(constB54)) | (~v95(constB54))))))),
% 8.17/5.75 inference(rewrite,[status(thm)],[])).
% 8.17/5.75 tff(7293,plain,
% 8.17/5.75 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB53, constB54)) | (v94(constB54) <=> (~((~v104(constB54)) | (~v95(constB54))))))),
% 8.17/5.75 inference(quant_inst,[status(thm)],[])).
% 8.17/5.75 tff(7294,plain,
% 8.17/5.75 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB53, constB54)) | (v94(constB54) <=> (~((~v104(constB54)) | (~v95(constB54)))))),
% 8.17/5.75 inference(modus_ponens,[status(thm)],[7293, 7292])).
% 8.17/5.75 tff(7295,plain,
% 8.17/5.75 (v94(constB54) <=> (~((~v104(constB54)) | (~v95(constB54))))),
% 8.17/5.75 inference(unit_resolution,[status(thm)],[7294, 7291, 775])).
% 8.17/5.75 tff(7296,plain,
% 8.17/5.75 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB53, constB54)) | (v95(constB54) <=> (~((~v1(constB54)) | (~v96(constB54))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB53, constB54)) | (v95(constB54) <=> (~((~v1(constB54)) | (~v96(constB54))))))),
% 8.17/5.75 inference(rewrite,[status(thm)],[])).
% 8.17/5.75 tff(7297,plain,
% 8.17/5.75 (((~nextState(constB53, constB54)) | (v95(constB54) <=> (~((~v96(constB54)) | (~v1(constB54)))))) <=> ((~nextState(constB53, constB54)) | (v95(constB54) <=> (~((~v1(constB54)) | (~v96(constB54))))))),
% 8.17/5.75 inference(rewrite,[status(thm)],[])).
% 8.17/5.75 tff(7298,plain,
% 8.17/5.75 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB53, constB54)) | (v95(constB54) <=> (~((~v96(constB54)) | (~v1(constB54))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB53, constB54)) | (v95(constB54) <=> (~((~v1(constB54)) | (~v96(constB54)))))))),
% 8.17/5.75 inference(monotonicity,[status(thm)],[7297])).
% 8.17/5.75 tff(7299,plain,
% 8.17/5.75 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB53, constB54)) | (v95(constB54) <=> (~((~v96(constB54)) | (~v1(constB54))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB53, constB54)) | (v95(constB54) <=> (~((~v1(constB54)) | (~v96(constB54))))))),
% 8.17/5.75 inference(transitivity,[status(thm)],[7298, 7296])).
% 8.17/5.75 tff(7300,plain,
% 8.17/5.75 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB53, constB54)) | (v95(constB54) <=> (~((~v96(constB54)) | (~v1(constB54))))))),
% 8.17/5.75 inference(quant_inst,[status(thm)],[])).
% 8.17/5.75 tff(7301,plain,
% 8.17/5.75 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB53, constB54)) | (v95(constB54) <=> (~((~v1(constB54)) | (~v96(constB54)))))),
% 8.17/5.75 inference(modus_ponens,[status(thm)],[7300, 7299])).
% 8.17/5.75 tff(7302,plain,
% 8.17/5.75 (v95(constB54) <=> (~((~v1(constB54)) | (~v96(constB54))))),
% 8.17/5.75 inference(unit_resolution,[status(thm)],[7301, 7291, 795])).
% 8.17/5.75 tff(7303,plain,
% 8.17/5.75 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB53, constB54)) | ((~v96(constB54)) <=> v98(constB54)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB53, constB54)) | ((~v96(constB54)) <=> v98(constB54)))),
% 8.17/5.75 inference(rewrite,[status(thm)],[])).
% 8.17/5.75 tff(7304,plain,
% 8.17/5.75 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB53, constB54)) | ((~v96(constB54)) <=> v98(constB54)))),
% 8.17/5.75 inference(quant_inst,[status(thm)],[])).
% 8.17/5.75 tff(7305,plain,
% 8.17/5.75 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB53, constB54)) | ((~v96(constB54)) <=> v98(constB54))),
% 8.17/5.75 inference(modus_ponens,[status(thm)],[7304, 7303])).
% 8.17/5.75 tff(7306,plain,
% 8.17/5.75 ((~v96(constB54)) <=> v98(constB54)),
% 8.17/5.75 inference(unit_resolution,[status(thm)],[7305, 7291, 860])).
% 8.17/5.75 tff(7307,plain,
% 8.17/5.75 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB53, constB54)) | (v98(constB54) <=> v1(constB53)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB53, constB54)) | (v98(constB54) <=> v1(constB53)))),
% 8.17/5.75 inference(rewrite,[status(thm)],[])).
% 8.17/5.75 tff(7308,plain,
% 8.17/5.75 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB53, constB54)) | (v98(constB54) <=> v1(constB53)))),
% 8.17/5.75 inference(quant_inst,[status(thm)],[])).
% 8.17/5.75 tff(7309,plain,
% 8.17/5.75 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB53, constB54)) | (v98(constB54) <=> v1(constB53))),
% 8.17/5.75 inference(modus_ponens,[status(thm)],[7308, 7307])).
% 8.17/5.75 tff(7310,plain,
% 8.17/5.75 (v98(constB54) <=> v1(constB53)),
% 8.17/5.75 inference(unit_resolution,[status(thm)],[7309, 7291, 874])).
% 8.17/5.75 tff(7311,plain,
% 8.17/5.75 ((~v1(constB53)) <=> (~v1(constB53))),
% 8.17/5.75 inference(rewrite,[status(thm)],[])).
% 8.17/5.75 tff(7312,axiom,(~v1(constB53)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_53')).
% 8.17/5.75 tff(7313,plain,
% 8.17/5.75 (~v1(constB53)),
% 8.17/5.75 inference(modus_ponens,[status(thm)],[7312, 7311])).
% 8.17/5.75 tff(7314,plain,
% 8.17/5.75 ((~(v98(constB54) <=> v1(constB53))) | (~v98(constB54)) | v1(constB53)),
% 8.17/5.75 inference(tautology,[status(thm)],[])).
% 8.17/5.75 tff(7315,plain,
% 8.17/5.75 ((~(v98(constB54) <=> v1(constB53))) | (~v98(constB54))),
% 8.17/5.75 inference(unit_resolution,[status(thm)],[7314, 7313])).
% 8.17/5.75 tff(7316,plain,
% 8.17/5.75 (~v98(constB54)),
% 8.17/5.75 inference(unit_resolution,[status(thm)],[7315, 7310])).
% 8.17/5.75 tff(7317,plain,
% 8.17/5.75 ((~((~v96(constB54)) <=> v98(constB54))) | v96(constB54) | v98(constB54)),
% 8.17/5.75 inference(tautology,[status(thm)],[])).
% 8.17/5.75 tff(7318,plain,
% 8.17/5.75 (v96(constB54)),
% 8.17/5.75 inference(unit_resolution,[status(thm)],[7317, 7316, 7306])).
% 8.17/5.75 tff(7319,plain,
% 8.17/5.75 (v1(constB54) <=> v1(constB54)),
% 8.17/5.75 inference(rewrite,[status(thm)],[])).
% 8.17/5.75 tff(7320,axiom,(v1(constB54)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_54')).
% 8.17/5.75 tff(7321,plain,
% 8.17/5.75 (v1(constB54)),
% 8.17/5.75 inference(modus_ponens,[status(thm)],[7320, 7319])).
% 8.17/5.75 tff(7322,plain,
% 8.17/5.75 ((~((~v1(constB54)) | (~v96(constB54)))) | (~v1(constB54)) | (~v96(constB54))),
% 8.17/5.75 inference(tautology,[status(thm)],[])).
% 8.17/5.75 tff(7323,plain,
% 8.17/5.75 ((~((~v1(constB54)) | (~v96(constB54)))) | (~v96(constB54))),
% 8.17/5.75 inference(unit_resolution,[status(thm)],[7322, 7321])).
% 8.17/5.75 tff(7324,plain,
% 8.17/5.75 (~((~v1(constB54)) | (~v96(constB54)))),
% 8.17/5.75 inference(unit_resolution,[status(thm)],[7323, 7318])).
% 8.17/5.75 tff(7325,plain,
% 8.17/5.75 ((~(v95(constB54) <=> (~((~v1(constB54)) | (~v96(constB54)))))) | v95(constB54) | ((~v1(constB54)) | (~v96(constB54)))),
% 8.17/5.75 inference(tautology,[status(thm)],[])).
% 8.17/5.75 tff(7326,plain,
% 8.17/5.75 (v95(constB54)),
% 8.17/5.75 inference(unit_resolution,[status(thm)],[7325, 7324, 7302])).
% 8.17/5.75 tff(7327,plain,
% 8.17/5.75 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB53, constB54)) | (v104(constB54) <=> v102(constB53)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB53, constB54)) | (v104(constB54) <=> v102(constB53)))),
% 8.17/5.75 inference(rewrite,[status(thm)],[])).
% 8.17/5.75 tff(7328,plain,
% 8.17/5.75 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB53, constB54)) | (v104(constB54) <=> v102(constB53)))),
% 8.17/5.75 inference(quant_inst,[status(thm)],[])).
% 8.17/5.75 tff(7329,plain,
% 8.17/5.75 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB53, constB54)) | (v104(constB54) <=> v102(constB53))),
% 8.17/5.75 inference(modus_ponens,[status(thm)],[7328, 7327])).
% 8.17/5.75 tff(7330,plain,
% 8.17/5.75 (v104(constB54) <=> v102(constB53)),
% 8.17/5.75 inference(unit_resolution,[status(thm)],[7329, 7291, 904])).
% 8.17/5.75 tff(7331,plain,
% 8.17/5.75 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB53) <=> (v105(constB53) | v106(constB53)))),
% 8.17/5.75 inference(quant_inst,[status(thm)],[])).
% 8.17/5.75 tff(7332,plain,
% 8.17/5.75 (v102(constB53) <=> (v105(constB53) | v106(constB53))),
% 8.17/5.75 inference(unit_resolution,[status(thm)],[7331, 915])).
% 8.17/5.75 tff(7333,plain,
% 8.17/5.75 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB53) <=> (~((~v107(constB53)) | (~v120(constB53)))))),
% 8.17/5.75 inference(quant_inst,[status(thm)],[])).
% 8.17/5.75 tff(7334,plain,
% 8.17/5.75 (v106(constB53) <=> (~((~v107(constB53)) | (~v120(constB53))))),
% 8.17/5.75 inference(unit_resolution,[status(thm)],[7333, 927])).
% 8.17/5.75 tff(7335,plain,
% 8.17/5.75 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB53) <=> (v108(constB53) | v119(constB53)))),
% 8.17/5.75 inference(quant_inst,[status(thm)],[])).
% 8.17/5.75 tff(7336,plain,
% 8.17/5.75 (v107(constB53) <=> (v108(constB53) | v119(constB53))),
% 8.17/5.75 inference(unit_resolution,[status(thm)],[7335, 936])).
% 8.17/5.75 tff(7337,plain,
% 8.17/5.75 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB53) <=> (v109(constB53) | v118(constB53)))),
% 8.17/5.75 inference(quant_inst,[status(thm)],[])).
% 8.17/5.75 tff(7338,plain,
% 8.17/5.75 (v108(constB53) <=> (v109(constB53) | v118(constB53))),
% 8.17/5.75 inference(unit_resolution,[status(thm)],[7337, 945])).
% 8.17/5.75 tff(7339,plain,
% 8.17/5.75 ((~![VarCurr: $i] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB53) <=> (v110(constB53) | v117(constB53)))),
% 8.17/5.75 inference(quant_inst,[status(thm)],[])).
% 8.17/5.75 tff(7340,plain,
% 8.17/5.75 (v109(constB53) <=> (v110(constB53) | v117(constB53))),
% 8.17/5.75 inference(unit_resolution,[status(thm)],[7339, 1056])).
% 8.17/5.75 tff(7341,plain,
% 8.17/5.75 ((~![VarCurr: $i] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB53) <=> (v111(constB53) | v116(constB53)))),
% 8.17/5.75 inference(quant_inst,[status(thm)],[])).
% 8.17/5.75 tff(7342,plain,
% 8.17/5.75 (v110(constB53) <=> (v111(constB53) | v116(constB53))),
% 8.17/5.75 inference(unit_resolution,[status(thm)],[7341, 1169])).
% 8.17/5.75 tff(7343,plain,
% 8.17/5.75 ((~![VarCurr: $i] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB53) <=> (v112(constB53) | v115(constB53)))),
% 8.17/5.75 inference(quant_inst,[status(thm)],[])).
% 8.17/5.75 tff(7344,plain,
% 8.17/5.75 (v111(constB53) <=> (v112(constB53) | v115(constB53))),
% 8.17/5.75 inference(unit_resolution,[status(thm)],[7343, 1279])).
% 8.17/5.75 tff(7345,plain,
% 8.17/5.75 (((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB53) <=> (~(v84(constB53, bitIndex2) | (~v84(constB53, bitIndex1)) | v84(constB53, bitIndex0))))) <=> ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB53) <=> (~(v84(constB53, bitIndex2) | (~v84(constB53, bitIndex1)) | v84(constB53, bitIndex0)))))),
% 8.17/5.75 inference(rewrite,[status(thm)],[])).
% 8.17/5.75 tff(7346,plain,
% 8.17/5.75 ((v115(constB53) <=> (~(v84(constB53, bitIndex0) | v84(constB53, bitIndex2) | (~v84(constB53, bitIndex1))))) <=> (v115(constB53) <=> (~(v84(constB53, bitIndex2) | (~v84(constB53, bitIndex1)) | v84(constB53, bitIndex0))))),
% 8.17/5.75 inference(rewrite,[status(thm)],[])).
% 8.17/5.75 tff(7347,plain,
% 8.17/5.75 (((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB53) <=> (~(v84(constB53, bitIndex0) | v84(constB53, bitIndex2) | (~v84(constB53, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB53) <=> (~(v84(constB53, bitIndex2) | (~v84(constB53, bitIndex1)) | v84(constB53, bitIndex0)))))),
% 8.17/5.75 inference(monotonicity,[status(thm)],[7346])).
% 8.17/5.75 tff(7348,plain,
% 8.17/5.75 (((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB53) <=> (~(v84(constB53, bitIndex0) | v84(constB53, bitIndex2) | (~v84(constB53, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB53) <=> (~(v84(constB53, bitIndex2) | (~v84(constB53, bitIndex1)) | v84(constB53, bitIndex0)))))),
% 8.17/5.75 inference(transitivity,[status(thm)],[7347, 7345])).
% 8.17/5.75 tff(7349,plain,
% 8.17/5.75 ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB53) <=> (~(v84(constB53, bitIndex0) | v84(constB53, bitIndex2) | (~v84(constB53, bitIndex1)))))),
% 8.17/5.75 inference(quant_inst,[status(thm)],[])).
% 8.17/5.75 tff(7350,plain,
% 8.17/5.75 ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB53) <=> (~(v84(constB53, bitIndex2) | (~v84(constB53, bitIndex1)) | v84(constB53, bitIndex0))))),
% 8.17/5.75 inference(modus_ponens,[status(thm)],[7349, 7348])).
% 8.17/5.75 tff(7351,plain,
% 8.17/5.75 (v115(constB53) <=> (~(v84(constB53, bitIndex2) | (~v84(constB53, bitIndex1)) | v84(constB53, bitIndex0)))),
% 8.17/5.75 inference(unit_resolution,[status(thm)],[7350, 1294])).
% 8.17/5.75 tff(7352,plain,
% 8.17/5.75 (nextState(constB52, constB53) <=> nextState(constB52, constB53)),
% 8.17/5.75 inference(rewrite,[status(thm)],[])).
% 8.17/5.75 tff(7353,axiom,(nextState(constB52, constB53)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_52')).
% 8.17/5.75 tff(7354,plain,
% 8.17/5.75 (nextState(constB52, constB53)),
% 8.17/5.75 inference(modus_ponens,[status(thm)],[7353, 7352])).
% 8.17/5.75 tff(7355,plain,
% 8.17/5.75 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB52, constB53)) | (v94(constB53) <=> (~((~v104(constB53)) | (~v95(constB53))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB52, constB53)) | (v94(constB53) <=> (~((~v104(constB53)) | (~v95(constB53))))))),
% 8.17/5.75 inference(rewrite,[status(thm)],[])).
% 8.17/5.75 tff(7356,plain,
% 8.17/5.75 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB52, constB53)) | (v94(constB53) <=> (~((~v104(constB53)) | (~v95(constB53))))))),
% 8.17/5.75 inference(quant_inst,[status(thm)],[])).
% 8.17/5.75 tff(7357,plain,
% 8.17/5.75 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB52, constB53)) | (v94(constB53) <=> (~((~v104(constB53)) | (~v95(constB53)))))),
% 8.17/5.75 inference(modus_ponens,[status(thm)],[7356, 7355])).
% 8.17/5.75 tff(7358,plain,
% 8.17/5.75 (v94(constB53) <=> (~((~v104(constB53)) | (~v95(constB53))))),
% 8.17/5.75 inference(unit_resolution,[status(thm)],[7357, 7354, 775])).
% 8.17/5.75 tff(7359,plain,
% 8.17/5.75 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB52, constB53)) | (v95(constB53) <=> (~((~v1(constB53)) | (~v96(constB53))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB52, constB53)) | (v95(constB53) <=> (~((~v1(constB53)) | (~v96(constB53))))))),
% 8.17/5.75 inference(rewrite,[status(thm)],[])).
% 8.17/5.75 tff(7360,plain,
% 8.17/5.75 (((~nextState(constB52, constB53)) | (v95(constB53) <=> (~((~v96(constB53)) | (~v1(constB53)))))) <=> ((~nextState(constB52, constB53)) | (v95(constB53) <=> (~((~v1(constB53)) | (~v96(constB53))))))),
% 8.17/5.75 inference(rewrite,[status(thm)],[])).
% 8.17/5.75 tff(7361,plain,
% 8.17/5.75 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB52, constB53)) | (v95(constB53) <=> (~((~v96(constB53)) | (~v1(constB53))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB52, constB53)) | (v95(constB53) <=> (~((~v1(constB53)) | (~v96(constB53)))))))),
% 8.17/5.75 inference(monotonicity,[status(thm)],[7360])).
% 8.17/5.75 tff(7362,plain,
% 8.17/5.75 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB52, constB53)) | (v95(constB53) <=> (~((~v96(constB53)) | (~v1(constB53))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB52, constB53)) | (v95(constB53) <=> (~((~v1(constB53)) | (~v96(constB53))))))),
% 8.17/5.75 inference(transitivity,[status(thm)],[7361, 7359])).
% 8.17/5.75 tff(7363,plain,
% 8.17/5.75 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB52, constB53)) | (v95(constB53) <=> (~((~v96(constB53)) | (~v1(constB53))))))),
% 8.17/5.75 inference(quant_inst,[status(thm)],[])).
% 8.17/5.75 tff(7364,plain,
% 8.17/5.75 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB52, constB53)) | (v95(constB53) <=> (~((~v1(constB53)) | (~v96(constB53)))))),
% 8.17/5.75 inference(modus_ponens,[status(thm)],[7363, 7362])).
% 8.17/5.75 tff(7365,plain,
% 8.17/5.75 (v95(constB53) <=> (~((~v1(constB53)) | (~v96(constB53))))),
% 8.17/5.75 inference(unit_resolution,[status(thm)],[7364, 7354, 795])).
% 8.17/5.75 tff(7366,plain,
% 8.17/5.75 (((~v1(constB53)) | (~v96(constB53))) | v1(constB53)),
% 8.17/5.75 inference(tautology,[status(thm)],[])).
% 8.17/5.75 tff(7367,plain,
% 8.17/5.75 ((~v1(constB53)) | (~v96(constB53))),
% 8.17/5.75 inference(unit_resolution,[status(thm)],[7366, 7313])).
% 8.17/5.75 tff(7368,plain,
% 8.17/5.76 ((~(v95(constB53) <=> (~((~v1(constB53)) | (~v96(constB53)))))) | (~v95(constB53)) | (~((~v1(constB53)) | (~v96(constB53))))),
% 8.17/5.76 inference(tautology,[status(thm)],[])).
% 8.17/5.76 tff(7369,plain,
% 8.17/5.76 ((~(v95(constB53) <=> (~((~v1(constB53)) | (~v96(constB53)))))) | (~v95(constB53))),
% 8.17/5.76 inference(unit_resolution,[status(thm)],[7368, 7367])).
% 8.17/5.76 tff(7370,plain,
% 8.17/5.76 (~v95(constB53)),
% 8.17/5.76 inference(unit_resolution,[status(thm)],[7369, 7365])).
% 8.17/5.76 tff(7371,plain,
% 8.17/5.76 (((~v104(constB53)) | (~v95(constB53))) | v95(constB53)),
% 8.17/5.76 inference(tautology,[status(thm)],[])).
% 8.17/5.76 tff(7372,plain,
% 8.17/5.76 ((~v104(constB53)) | (~v95(constB53))),
% 8.17/5.76 inference(unit_resolution,[status(thm)],[7371, 7370])).
% 8.17/5.76 tff(7373,plain,
% 8.17/5.76 ((~(v94(constB53) <=> (~((~v104(constB53)) | (~v95(constB53)))))) | (~v94(constB53)) | (~((~v104(constB53)) | (~v95(constB53))))),
% 8.17/5.76 inference(tautology,[status(thm)],[])).
% 8.17/5.76 tff(7374,plain,
% 8.17/5.76 (~v94(constB53)),
% 8.17/5.76 inference(unit_resolution,[status(thm)],[7373, 7372, 7358])).
% 8.17/5.76 tff(7375,plain,
% 8.17/5.76 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB53) | (~nextState(constB52, constB53)) | ![B: $i] : ((~less_3(B)) | (v84(constB53, B) <=> v84(constB52, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB53) | (~nextState(constB52, constB53)) | ![B: $i] : ((~less_3(B)) | (v84(constB53, B) <=> v84(constB52, B))))),
% 8.17/5.76 inference(rewrite,[status(thm)],[])).
% 8.17/5.76 tff(7376,plain,
% 8.17/5.76 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB53) | (~nextState(constB52, constB53)) | ![B: $i] : ((~less_3(B)) | (v84(constB53, B) <=> v84(constB52, B))))),
% 8.17/5.76 inference(quant_inst,[status(thm)],[])).
% 8.17/5.76 tff(7377,plain,
% 8.17/5.76 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB53) | (~nextState(constB52, constB53)) | ![B: $i] : ((~less_3(B)) | (v84(constB53, B) <=> v84(constB52, B)))),
% 8.17/5.76 inference(modus_ponens,[status(thm)],[7376, 7375])).
% 8.17/5.76 tff(7378,plain,
% 8.17/5.76 (v94(constB53) | ![B: $i] : ((~less_3(B)) | (v84(constB53, B) <=> v84(constB52, B)))),
% 8.17/5.76 inference(unit_resolution,[status(thm)],[7377, 7354, 824])).
% 8.17/5.76 tff(7379,plain,
% 8.17/5.76 (![B: $i] : ((~less_3(B)) | (v84(constB53, B) <=> v84(constB52, B)))),
% 8.17/5.76 inference(unit_resolution,[status(thm)],[7378, 7374])).
% 8.17/5.76 tff(7380,plain,
% 8.17/5.76 (((~![B: $i] : ((~less_3(B)) | (v84(constB53, B) <=> v84(constB52, B)))) | ((~less_3(bitIndex2)) | (v84(constB53, bitIndex2) <=> v84(constB52, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB53, B) <=> v84(constB52, B)))) | (~less_3(bitIndex2)) | (v84(constB53, bitIndex2) <=> v84(constB52, bitIndex2)))),
% 8.17/5.76 inference(rewrite,[status(thm)],[])).
% 8.17/5.76 tff(7381,plain,
% 8.17/5.76 ((~![B: $i] : ((~less_3(B)) | (v84(constB53, B) <=> v84(constB52, B)))) | ((~less_3(bitIndex2)) | (v84(constB53, bitIndex2) <=> v84(constB52, bitIndex2)))),
% 8.17/5.76 inference(quant_inst,[status(thm)],[])).
% 8.17/5.76 tff(7382,plain,
% 8.17/5.76 ((~![B: $i] : ((~less_3(B)) | (v84(constB53, B) <=> v84(constB52, B)))) | (~less_3(bitIndex2)) | (v84(constB53, bitIndex2) <=> v84(constB52, bitIndex2))),
% 8.17/5.76 inference(modus_ponens,[status(thm)],[7381, 7380])).
% 8.17/5.76 tff(7383,plain,
% 8.17/5.76 (v84(constB53, bitIndex2) <=> v84(constB52, bitIndex2)),
% 8.17/5.76 inference(unit_resolution,[status(thm)],[7382, 832, 7379])).
% 8.17/5.76 tff(7384,plain,
% 8.17/5.76 (nextState(constB51, constB52) <=> nextState(constB51, constB52)),
% 8.17/5.76 inference(rewrite,[status(thm)],[])).
% 8.17/5.76 tff(7385,axiom,(nextState(constB51, constB52)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_51')).
% 8.17/5.76 tff(7386,plain,
% 8.17/5.76 (nextState(constB51, constB52)),
% 8.17/5.76 inference(modus_ponens,[status(thm)],[7385, 7384])).
% 8.17/5.76 tff(7387,plain,
% 8.17/5.76 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB51, constB52)) | (v94(constB52) <=> (~((~v104(constB52)) | (~v95(constB52))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB51, constB52)) | (v94(constB52) <=> (~((~v104(constB52)) | (~v95(constB52))))))),
% 8.17/5.76 inference(rewrite,[status(thm)],[])).
% 8.17/5.76 tff(7388,plain,
% 8.17/5.76 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB51, constB52)) | (v94(constB52) <=> (~((~v104(constB52)) | (~v95(constB52))))))),
% 8.17/5.76 inference(quant_inst,[status(thm)],[])).
% 8.17/5.76 tff(7389,plain,
% 8.17/5.76 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB51, constB52)) | (v94(constB52) <=> (~((~v104(constB52)) | (~v95(constB52)))))),
% 8.17/5.76 inference(modus_ponens,[status(thm)],[7388, 7387])).
% 8.17/5.76 tff(7390,plain,
% 8.17/5.76 (v94(constB52) <=> (~((~v104(constB52)) | (~v95(constB52))))),
% 8.17/5.76 inference(unit_resolution,[status(thm)],[7389, 7386, 775])).
% 8.17/5.76 tff(7391,plain,
% 8.17/5.76 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB51, constB52)) | (v95(constB52) <=> (~((~v1(constB52)) | (~v96(constB52))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB51, constB52)) | (v95(constB52) <=> (~((~v1(constB52)) | (~v96(constB52))))))),
% 8.17/5.76 inference(rewrite,[status(thm)],[])).
% 8.17/5.76 tff(7392,plain,
% 8.17/5.76 (((~nextState(constB51, constB52)) | (v95(constB52) <=> (~((~v96(constB52)) | (~v1(constB52)))))) <=> ((~nextState(constB51, constB52)) | (v95(constB52) <=> (~((~v1(constB52)) | (~v96(constB52))))))),
% 8.17/5.76 inference(rewrite,[status(thm)],[])).
% 8.17/5.76 tff(7393,plain,
% 8.17/5.76 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB51, constB52)) | (v95(constB52) <=> (~((~v96(constB52)) | (~v1(constB52))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB51, constB52)) | (v95(constB52) <=> (~((~v1(constB52)) | (~v96(constB52)))))))),
% 8.17/5.76 inference(monotonicity,[status(thm)],[7392])).
% 8.17/5.76 tff(7394,plain,
% 8.17/5.76 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB51, constB52)) | (v95(constB52) <=> (~((~v96(constB52)) | (~v1(constB52))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB51, constB52)) | (v95(constB52) <=> (~((~v1(constB52)) | (~v96(constB52))))))),
% 8.17/5.76 inference(transitivity,[status(thm)],[7393, 7391])).
% 8.17/5.76 tff(7395,plain,
% 8.17/5.76 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB51, constB52)) | (v95(constB52) <=> (~((~v96(constB52)) | (~v1(constB52))))))),
% 8.17/5.76 inference(quant_inst,[status(thm)],[])).
% 8.17/5.76 tff(7396,plain,
% 8.17/5.76 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB51, constB52)) | (v95(constB52) <=> (~((~v1(constB52)) | (~v96(constB52)))))),
% 8.17/5.76 inference(modus_ponens,[status(thm)],[7395, 7394])).
% 8.17/5.76 tff(7397,plain,
% 8.17/5.76 (v95(constB52) <=> (~((~v1(constB52)) | (~v96(constB52))))),
% 8.17/5.76 inference(unit_resolution,[status(thm)],[7396, 7386, 795])).
% 8.17/5.76 tff(7398,plain,
% 8.17/5.76 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB51, constB52)) | ((~v96(constB52)) <=> v98(constB52)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB51, constB52)) | ((~v96(constB52)) <=> v98(constB52)))),
% 8.17/5.76 inference(rewrite,[status(thm)],[])).
% 8.17/5.76 tff(7399,plain,
% 8.17/5.76 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB51, constB52)) | ((~v96(constB52)) <=> v98(constB52)))),
% 8.17/5.76 inference(quant_inst,[status(thm)],[])).
% 8.17/5.76 tff(7400,plain,
% 8.17/5.76 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB51, constB52)) | ((~v96(constB52)) <=> v98(constB52))),
% 8.17/5.76 inference(modus_ponens,[status(thm)],[7399, 7398])).
% 8.17/5.76 tff(7401,plain,
% 8.17/5.76 ((~v96(constB52)) <=> v98(constB52)),
% 8.17/5.76 inference(unit_resolution,[status(thm)],[7400, 7386, 860])).
% 8.17/5.76 tff(7402,plain,
% 8.17/5.76 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB51, constB52)) | (v98(constB52) <=> v1(constB51)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB51, constB52)) | (v98(constB52) <=> v1(constB51)))),
% 8.17/5.76 inference(rewrite,[status(thm)],[])).
% 8.17/5.76 tff(7403,plain,
% 8.17/5.76 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB51, constB52)) | (v98(constB52) <=> v1(constB51)))),
% 8.17/5.76 inference(quant_inst,[status(thm)],[])).
% 8.17/5.76 tff(7404,plain,
% 8.17/5.76 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB51, constB52)) | (v98(constB52) <=> v1(constB51))),
% 8.17/5.76 inference(modus_ponens,[status(thm)],[7403, 7402])).
% 8.17/5.76 tff(7405,plain,
% 8.17/5.76 (v98(constB52) <=> v1(constB51)),
% 8.17/5.76 inference(unit_resolution,[status(thm)],[7404, 7386, 874])).
% 8.17/5.76 tff(7406,plain,
% 8.17/5.76 ((~v1(constB51)) <=> (~v1(constB51))),
% 8.17/5.76 inference(rewrite,[status(thm)],[])).
% 8.17/5.76 tff(7407,axiom,(~v1(constB51)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_51')).
% 8.17/5.76 tff(7408,plain,
% 8.17/5.76 (~v1(constB51)),
% 8.17/5.76 inference(modus_ponens,[status(thm)],[7407, 7406])).
% 8.17/5.76 tff(7409,plain,
% 8.17/5.76 ((~(v98(constB52) <=> v1(constB51))) | (~v98(constB52)) | v1(constB51)),
% 8.17/5.76 inference(tautology,[status(thm)],[])).
% 8.17/5.76 tff(7410,plain,
% 8.17/5.76 ((~(v98(constB52) <=> v1(constB51))) | (~v98(constB52))),
% 8.17/5.76 inference(unit_resolution,[status(thm)],[7409, 7408])).
% 8.17/5.76 tff(7411,plain,
% 8.17/5.76 (~v98(constB52)),
% 8.17/5.76 inference(unit_resolution,[status(thm)],[7410, 7405])).
% 8.17/5.76 tff(7412,plain,
% 8.17/5.76 ((~((~v96(constB52)) <=> v98(constB52))) | v96(constB52) | v98(constB52)),
% 8.17/5.76 inference(tautology,[status(thm)],[])).
% 8.17/5.76 tff(7413,plain,
% 8.17/5.76 (v96(constB52)),
% 8.17/5.76 inference(unit_resolution,[status(thm)],[7412, 7411, 7401])).
% 8.17/5.76 tff(7414,plain,
% 8.17/5.76 (v1(constB52) <=> v1(constB52)),
% 8.17/5.76 inference(rewrite,[status(thm)],[])).
% 8.17/5.76 tff(7415,axiom,(v1(constB52)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_52')).
% 8.17/5.76 tff(7416,plain,
% 8.17/5.76 (v1(constB52)),
% 8.17/5.76 inference(modus_ponens,[status(thm)],[7415, 7414])).
% 8.17/5.76 tff(7417,plain,
% 8.17/5.76 ((~((~v1(constB52)) | (~v96(constB52)))) | (~v1(constB52)) | (~v96(constB52))),
% 8.17/5.76 inference(tautology,[status(thm)],[])).
% 8.17/5.76 tff(7418,plain,
% 8.17/5.76 ((~((~v1(constB52)) | (~v96(constB52)))) | (~v96(constB52))),
% 8.17/5.76 inference(unit_resolution,[status(thm)],[7417, 7416])).
% 8.17/5.76 tff(7419,plain,
% 8.17/5.76 (~((~v1(constB52)) | (~v96(constB52)))),
% 8.17/5.76 inference(unit_resolution,[status(thm)],[7418, 7413])).
% 8.17/5.76 tff(7420,plain,
% 8.17/5.76 ((~(v95(constB52) <=> (~((~v1(constB52)) | (~v96(constB52)))))) | v95(constB52) | ((~v1(constB52)) | (~v96(constB52)))),
% 8.17/5.76 inference(tautology,[status(thm)],[])).
% 8.17/5.76 tff(7421,plain,
% 8.17/5.76 (v95(constB52)),
% 8.17/5.76 inference(unit_resolution,[status(thm)],[7420, 7419, 7397])).
% 8.17/5.76 tff(7422,plain,
% 8.17/5.76 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB51, constB52)) | (v104(constB52) <=> v102(constB51)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB51, constB52)) | (v104(constB52) <=> v102(constB51)))),
% 8.17/5.76 inference(rewrite,[status(thm)],[])).
% 8.17/5.76 tff(7423,plain,
% 8.17/5.76 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB51, constB52)) | (v104(constB52) <=> v102(constB51)))),
% 8.17/5.76 inference(quant_inst,[status(thm)],[])).
% 8.17/5.76 tff(7424,plain,
% 8.17/5.76 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB51, constB52)) | (v104(constB52) <=> v102(constB51))),
% 8.17/5.76 inference(modus_ponens,[status(thm)],[7423, 7422])).
% 8.17/5.76 tff(7425,plain,
% 8.17/5.76 (v104(constB52) <=> v102(constB51)),
% 8.17/5.76 inference(unit_resolution,[status(thm)],[7424, 7386, 904])).
% 8.17/5.76 tff(7426,plain,
% 8.17/5.76 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB51) <=> (v105(constB51) | v106(constB51)))),
% 8.17/5.76 inference(quant_inst,[status(thm)],[])).
% 8.17/5.76 tff(7427,plain,
% 8.17/5.76 (v102(constB51) <=> (v105(constB51) | v106(constB51))),
% 8.17/5.76 inference(unit_resolution,[status(thm)],[7426, 915])).
% 8.17/5.76 tff(7428,plain,
% 8.17/5.76 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB51) <=> (~((~v107(constB51)) | (~v120(constB51)))))),
% 8.17/5.76 inference(quant_inst,[status(thm)],[])).
% 8.17/5.76 tff(7429,plain,
% 8.17/5.76 (v106(constB51) <=> (~((~v107(constB51)) | (~v120(constB51))))),
% 8.17/5.76 inference(unit_resolution,[status(thm)],[7428, 927])).
% 8.17/5.76 tff(7430,plain,
% 8.17/5.76 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB51) <=> (v108(constB51) | v119(constB51)))),
% 8.17/5.76 inference(quant_inst,[status(thm)],[])).
% 8.17/5.76 tff(7431,plain,
% 8.17/5.76 (v107(constB51) <=> (v108(constB51) | v119(constB51))),
% 8.17/5.76 inference(unit_resolution,[status(thm)],[7430, 936])).
% 8.17/5.76 tff(7432,plain,
% 8.17/5.76 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB51) <=> (v109(constB51) | v118(constB51)))),
% 8.17/5.76 inference(quant_inst,[status(thm)],[])).
% 8.17/5.76 tff(7433,plain,
% 8.17/5.76 (v108(constB51) <=> (v109(constB51) | v118(constB51))),
% 8.17/5.76 inference(unit_resolution,[status(thm)],[7432, 945])).
% 8.17/5.76 tff(7434,plain,
% 8.17/5.76 ((~![VarCurr: $i] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB51) <=> (v110(constB51) | v117(constB51)))),
% 8.17/5.76 inference(quant_inst,[status(thm)],[])).
% 8.17/5.76 tff(7435,plain,
% 8.17/5.76 (v109(constB51) <=> (v110(constB51) | v117(constB51))),
% 8.17/5.76 inference(unit_resolution,[status(thm)],[7434, 1056])).
% 8.17/5.76 tff(7436,plain,
% 8.17/5.76 ((~![VarCurr: $i] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB51) <=> (v111(constB51) | v116(constB51)))),
% 8.17/5.76 inference(quant_inst,[status(thm)],[])).
% 8.17/5.76 tff(7437,plain,
% 8.17/5.76 (v110(constB51) <=> (v111(constB51) | v116(constB51))),
% 8.17/5.76 inference(unit_resolution,[status(thm)],[7436, 1169])).
% 8.17/5.76 tff(7438,plain,
% 8.17/5.76 ((~![VarCurr: $i] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB51) <=> (v112(constB51) | v115(constB51)))),
% 8.17/5.76 inference(quant_inst,[status(thm)],[])).
% 8.17/5.76 tff(7439,plain,
% 8.17/5.76 (v111(constB51) <=> (v112(constB51) | v115(constB51))),
% 8.17/5.76 inference(unit_resolution,[status(thm)],[7438, 1279])).
% 8.17/5.76 tff(7440,plain,
% 8.17/5.76 ((~![VarCurr: $i] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))) | (v112(constB51) <=> (v113(constB51) | v114(constB51)))),
% 8.17/5.76 inference(quant_inst,[status(thm)],[])).
% 8.17/5.76 tff(7441,plain,
% 8.17/5.76 (v112(constB51) <=> (v113(constB51) | v114(constB51))),
% 8.17/5.76 inference(unit_resolution,[status(thm)],[7440, 1396])).
% 8.17/5.76 tff(7442,plain,
% 8.17/5.76 (((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB51) <=> (~(v84(constB51, bitIndex2) | v84(constB51, bitIndex1) | (~v84(constB51, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB51) <=> (~(v84(constB51, bitIndex2) | v84(constB51, bitIndex1) | (~v84(constB51, bitIndex0))))))),
% 8.17/5.76 inference(rewrite,[status(thm)],[])).
% 8.17/5.76 tff(7443,plain,
% 8.17/5.76 ((v114(constB51) <=> (~(v84(constB51, bitIndex1) | v84(constB51, bitIndex2) | (~v84(constB51, bitIndex0))))) <=> (v114(constB51) <=> (~(v84(constB51, bitIndex2) | v84(constB51, bitIndex1) | (~v84(constB51, bitIndex0)))))),
% 8.17/5.76 inference(rewrite,[status(thm)],[])).
% 8.17/5.76 tff(7444,plain,
% 8.17/5.76 (((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB51) <=> (~(v84(constB51, bitIndex1) | v84(constB51, bitIndex2) | (~v84(constB51, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB51) <=> (~(v84(constB51, bitIndex2) | v84(constB51, bitIndex1) | (~v84(constB51, bitIndex0))))))),
% 8.17/5.76 inference(monotonicity,[status(thm)],[7443])).
% 8.17/5.76 tff(7445,plain,
% 8.17/5.76 (((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB51) <=> (~(v84(constB51, bitIndex1) | v84(constB51, bitIndex2) | (~v84(constB51, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB51) <=> (~(v84(constB51, bitIndex2) | v84(constB51, bitIndex1) | (~v84(constB51, bitIndex0))))))),
% 8.17/5.76 inference(transitivity,[status(thm)],[7444, 7442])).
% 8.17/5.76 tff(7446,plain,
% 8.17/5.76 ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB51) <=> (~(v84(constB51, bitIndex1) | v84(constB51, bitIndex2) | (~v84(constB51, bitIndex0)))))),
% 8.17/5.76 inference(quant_inst,[status(thm)],[])).
% 8.17/5.76 tff(7447,plain,
% 8.17/5.76 ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB51) <=> (~(v84(constB51, bitIndex2) | v84(constB51, bitIndex1) | (~v84(constB51, bitIndex0)))))),
% 8.17/5.76 inference(modus_ponens,[status(thm)],[7446, 7445])).
% 8.17/5.76 tff(7448,plain,
% 8.17/5.76 (v114(constB51) <=> (~(v84(constB51, bitIndex2) | v84(constB51, bitIndex1) | (~v84(constB51, bitIndex0))))),
% 8.17/5.76 inference(unit_resolution,[status(thm)],[7447, 1411])).
% 8.17/5.76 tff(7449,plain,
% 8.17/5.76 (nextState(constB50, constB51) <=> nextState(constB50, constB51)),
% 8.17/5.76 inference(rewrite,[status(thm)],[])).
% 8.17/5.76 tff(7450,axiom,(nextState(constB50, constB51)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_50')).
% 8.17/5.76 tff(7451,plain,
% 8.17/5.76 (nextState(constB50, constB51)),
% 8.17/5.76 inference(modus_ponens,[status(thm)],[7450, 7449])).
% 8.17/5.76 tff(7452,plain,
% 8.17/5.76 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB50, constB51)) | (v94(constB51) <=> (~((~v104(constB51)) | (~v95(constB51))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB50, constB51)) | (v94(constB51) <=> (~((~v104(constB51)) | (~v95(constB51))))))),
% 8.17/5.76 inference(rewrite,[status(thm)],[])).
% 8.17/5.76 tff(7453,plain,
% 8.17/5.76 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB50, constB51)) | (v94(constB51) <=> (~((~v104(constB51)) | (~v95(constB51))))))),
% 8.17/5.76 inference(quant_inst,[status(thm)],[])).
% 8.17/5.76 tff(7454,plain,
% 8.17/5.76 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB50, constB51)) | (v94(constB51) <=> (~((~v104(constB51)) | (~v95(constB51)))))),
% 8.17/5.76 inference(modus_ponens,[status(thm)],[7453, 7452])).
% 8.17/5.76 tff(7455,plain,
% 8.17/5.76 (v94(constB51) <=> (~((~v104(constB51)) | (~v95(constB51))))),
% 8.17/5.76 inference(unit_resolution,[status(thm)],[7454, 7451, 775])).
% 8.17/5.76 tff(7456,plain,
% 8.17/5.76 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB50, constB51)) | (v95(constB51) <=> (~((~v1(constB51)) | (~v96(constB51))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB50, constB51)) | (v95(constB51) <=> (~((~v1(constB51)) | (~v96(constB51))))))),
% 8.17/5.76 inference(rewrite,[status(thm)],[])).
% 8.17/5.76 tff(7457,plain,
% 8.17/5.76 (((~nextState(constB50, constB51)) | (v95(constB51) <=> (~((~v96(constB51)) | (~v1(constB51)))))) <=> ((~nextState(constB50, constB51)) | (v95(constB51) <=> (~((~v1(constB51)) | (~v96(constB51))))))),
% 8.17/5.76 inference(rewrite,[status(thm)],[])).
% 8.17/5.76 tff(7458,plain,
% 8.17/5.76 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB50, constB51)) | (v95(constB51) <=> (~((~v96(constB51)) | (~v1(constB51))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB50, constB51)) | (v95(constB51) <=> (~((~v1(constB51)) | (~v96(constB51)))))))),
% 8.17/5.76 inference(monotonicity,[status(thm)],[7457])).
% 8.17/5.76 tff(7459,plain,
% 8.17/5.76 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB50, constB51)) | (v95(constB51) <=> (~((~v96(constB51)) | (~v1(constB51))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB50, constB51)) | (v95(constB51) <=> (~((~v1(constB51)) | (~v96(constB51))))))),
% 8.17/5.76 inference(transitivity,[status(thm)],[7458, 7456])).
% 8.17/5.76 tff(7460,plain,
% 8.17/5.76 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB50, constB51)) | (v95(constB51) <=> (~((~v96(constB51)) | (~v1(constB51))))))),
% 8.17/5.76 inference(quant_inst,[status(thm)],[])).
% 8.17/5.76 tff(7461,plain,
% 8.17/5.76 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB50, constB51)) | (v95(constB51) <=> (~((~v1(constB51)) | (~v96(constB51)))))),
% 8.17/5.76 inference(modus_ponens,[status(thm)],[7460, 7459])).
% 8.17/5.76 tff(7462,plain,
% 8.17/5.76 (v95(constB51) <=> (~((~v1(constB51)) | (~v96(constB51))))),
% 8.17/5.76 inference(unit_resolution,[status(thm)],[7461, 7451, 795])).
% 8.17/5.76 tff(7463,plain,
% 8.17/5.76 (((~v1(constB51)) | (~v96(constB51))) | v1(constB51)),
% 8.17/5.76 inference(tautology,[status(thm)],[])).
% 8.17/5.76 tff(7464,plain,
% 8.17/5.76 ((~v1(constB51)) | (~v96(constB51))),
% 8.17/5.76 inference(unit_resolution,[status(thm)],[7463, 7408])).
% 8.17/5.76 tff(7465,plain,
% 8.17/5.76 ((~(v95(constB51) <=> (~((~v1(constB51)) | (~v96(constB51)))))) | (~v95(constB51)) | (~((~v1(constB51)) | (~v96(constB51))))),
% 8.17/5.76 inference(tautology,[status(thm)],[])).
% 8.17/5.76 tff(7466,plain,
% 8.17/5.76 ((~(v95(constB51) <=> (~((~v1(constB51)) | (~v96(constB51)))))) | (~v95(constB51))),
% 8.17/5.76 inference(unit_resolution,[status(thm)],[7465, 7464])).
% 8.17/5.76 tff(7467,plain,
% 8.17/5.76 (~v95(constB51)),
% 8.17/5.76 inference(unit_resolution,[status(thm)],[7466, 7462])).
% 8.17/5.76 tff(7468,plain,
% 8.17/5.76 (((~v104(constB51)) | (~v95(constB51))) | v95(constB51)),
% 8.17/5.76 inference(tautology,[status(thm)],[])).
% 8.17/5.76 tff(7469,plain,
% 8.17/5.76 ((~v104(constB51)) | (~v95(constB51))),
% 8.17/5.76 inference(unit_resolution,[status(thm)],[7468, 7467])).
% 8.17/5.76 tff(7470,plain,
% 8.17/5.76 ((~(v94(constB51) <=> (~((~v104(constB51)) | (~v95(constB51)))))) | (~v94(constB51)) | (~((~v104(constB51)) | (~v95(constB51))))),
% 8.17/5.76 inference(tautology,[status(thm)],[])).
% 8.17/5.76 tff(7471,plain,
% 8.17/5.76 (~v94(constB51)),
% 8.17/5.76 inference(unit_resolution,[status(thm)],[7470, 7469, 7455])).
% 8.17/5.76 tff(7472,plain,
% 8.17/5.76 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB51) | (~nextState(constB50, constB51)) | ![B: $i] : ((~less_3(B)) | (v84(constB51, B) <=> v84(constB50, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB51) | (~nextState(constB50, constB51)) | ![B: $i] : ((~less_3(B)) | (v84(constB51, B) <=> v84(constB50, B))))),
% 8.17/5.76 inference(rewrite,[status(thm)],[])).
% 8.17/5.76 tff(7473,plain,
% 8.17/5.76 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB51) | (~nextState(constB50, constB51)) | ![B: $i] : ((~less_3(B)) | (v84(constB51, B) <=> v84(constB50, B))))),
% 8.17/5.76 inference(quant_inst,[status(thm)],[])).
% 8.17/5.76 tff(7474,plain,
% 8.17/5.76 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB51) | (~nextState(constB50, constB51)) | ![B: $i] : ((~less_3(B)) | (v84(constB51, B) <=> v84(constB50, B)))),
% 8.17/5.76 inference(modus_ponens,[status(thm)],[7473, 7472])).
% 8.17/5.76 tff(7475,plain,
% 8.17/5.76 (v94(constB51) | ![B: $i] : ((~less_3(B)) | (v84(constB51, B) <=> v84(constB50, B)))),
% 8.17/5.76 inference(unit_resolution,[status(thm)],[7474, 7451, 824])).
% 8.17/5.76 tff(7476,plain,
% 8.17/5.76 (![B: $i] : ((~less_3(B)) | (v84(constB51, B) <=> v84(constB50, B)))),
% 8.17/5.76 inference(unit_resolution,[status(thm)],[7475, 7471])).
% 8.17/5.76 tff(7477,plain,
% 8.17/5.76 (((~![B: $i] : ((~less_3(B)) | (v84(constB51, B) <=> v84(constB50, B)))) | ((~less_3(bitIndex2)) | (v84(constB51, bitIndex2) <=> v84(constB50, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB51, B) <=> v84(constB50, B)))) | (~less_3(bitIndex2)) | (v84(constB51, bitIndex2) <=> v84(constB50, bitIndex2)))),
% 8.17/5.76 inference(rewrite,[status(thm)],[])).
% 8.17/5.76 tff(7478,plain,
% 8.17/5.76 ((~![B: $i] : ((~less_3(B)) | (v84(constB51, B) <=> v84(constB50, B)))) | ((~less_3(bitIndex2)) | (v84(constB51, bitIndex2) <=> v84(constB50, bitIndex2)))),
% 8.17/5.76 inference(quant_inst,[status(thm)],[])).
% 8.17/5.76 tff(7479,plain,
% 8.17/5.76 ((~![B: $i] : ((~less_3(B)) | (v84(constB51, B) <=> v84(constB50, B)))) | (~less_3(bitIndex2)) | (v84(constB51, bitIndex2) <=> v84(constB50, bitIndex2))),
% 8.17/5.76 inference(modus_ponens,[status(thm)],[7478, 7477])).
% 8.17/5.76 tff(7480,plain,
% 8.17/5.76 (v84(constB51, bitIndex2) <=> v84(constB50, bitIndex2)),
% 8.17/5.76 inference(unit_resolution,[status(thm)],[7479, 832, 7476])).
% 8.17/5.76 tff(7481,plain,
% 8.17/5.76 (nextState(constB49, constB50) <=> nextState(constB49, constB50)),
% 8.17/5.76 inference(rewrite,[status(thm)],[])).
% 8.17/5.76 tff(7482,axiom,(nextState(constB49, constB50)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_49')).
% 8.17/5.76 tff(7483,plain,
% 8.17/5.76 (nextState(constB49, constB50)),
% 8.17/5.76 inference(modus_ponens,[status(thm)],[7482, 7481])).
% 8.17/5.76 tff(7484,plain,
% 8.17/5.76 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB49, constB50)) | (v94(constB50) <=> (~((~v104(constB50)) | (~v95(constB50))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB49, constB50)) | (v94(constB50) <=> (~((~v104(constB50)) | (~v95(constB50))))))),
% 8.17/5.76 inference(rewrite,[status(thm)],[])).
% 8.17/5.76 tff(7485,plain,
% 8.17/5.76 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB49, constB50)) | (v94(constB50) <=> (~((~v104(constB50)) | (~v95(constB50))))))),
% 8.17/5.76 inference(quant_inst,[status(thm)],[])).
% 8.17/5.76 tff(7486,plain,
% 8.17/5.76 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB49, constB50)) | (v94(constB50) <=> (~((~v104(constB50)) | (~v95(constB50)))))),
% 8.17/5.76 inference(modus_ponens,[status(thm)],[7485, 7484])).
% 8.17/5.76 tff(7487,plain,
% 8.17/5.76 (v94(constB50) <=> (~((~v104(constB50)) | (~v95(constB50))))),
% 8.17/5.76 inference(unit_resolution,[status(thm)],[7486, 7483, 775])).
% 8.17/5.76 tff(7488,plain,
% 8.17/5.76 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB49, constB50)) | (v95(constB50) <=> (~((~v1(constB50)) | (~v96(constB50))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB49, constB50)) | (v95(constB50) <=> (~((~v1(constB50)) | (~v96(constB50))))))),
% 8.17/5.76 inference(rewrite,[status(thm)],[])).
% 8.17/5.76 tff(7489,plain,
% 8.17/5.76 (((~nextState(constB49, constB50)) | (v95(constB50) <=> (~((~v96(constB50)) | (~v1(constB50)))))) <=> ((~nextState(constB49, constB50)) | (v95(constB50) <=> (~((~v1(constB50)) | (~v96(constB50))))))),
% 8.17/5.76 inference(rewrite,[status(thm)],[])).
% 8.17/5.76 tff(7490,plain,
% 8.17/5.76 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB49, constB50)) | (v95(constB50) <=> (~((~v96(constB50)) | (~v1(constB50))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB49, constB50)) | (v95(constB50) <=> (~((~v1(constB50)) | (~v96(constB50)))))))),
% 8.17/5.76 inference(monotonicity,[status(thm)],[7489])).
% 8.17/5.76 tff(7491,plain,
% 8.17/5.76 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB49, constB50)) | (v95(constB50) <=> (~((~v96(constB50)) | (~v1(constB50))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB49, constB50)) | (v95(constB50) <=> (~((~v1(constB50)) | (~v96(constB50))))))),
% 8.17/5.76 inference(transitivity,[status(thm)],[7490, 7488])).
% 8.17/5.76 tff(7492,plain,
% 8.17/5.76 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB49, constB50)) | (v95(constB50) <=> (~((~v96(constB50)) | (~v1(constB50))))))),
% 8.17/5.76 inference(quant_inst,[status(thm)],[])).
% 8.17/5.76 tff(7493,plain,
% 8.17/5.76 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB49, constB50)) | (v95(constB50) <=> (~((~v1(constB50)) | (~v96(constB50)))))),
% 8.17/5.76 inference(modus_ponens,[status(thm)],[7492, 7491])).
% 8.17/5.76 tff(7494,plain,
% 8.17/5.76 (v95(constB50) <=> (~((~v1(constB50)) | (~v96(constB50))))),
% 8.17/5.76 inference(unit_resolution,[status(thm)],[7493, 7483, 795])).
% 8.17/5.76 tff(7495,plain,
% 8.17/5.76 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB49, constB50)) | ((~v96(constB50)) <=> v98(constB50)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB49, constB50)) | ((~v96(constB50)) <=> v98(constB50)))),
% 8.17/5.76 inference(rewrite,[status(thm)],[])).
% 8.17/5.76 tff(7496,plain,
% 8.17/5.76 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB49, constB50)) | ((~v96(constB50)) <=> v98(constB50)))),
% 8.17/5.76 inference(quant_inst,[status(thm)],[])).
% 8.17/5.76 tff(7497,plain,
% 8.17/5.76 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB49, constB50)) | ((~v96(constB50)) <=> v98(constB50))),
% 8.17/5.76 inference(modus_ponens,[status(thm)],[7496, 7495])).
% 8.17/5.76 tff(7498,plain,
% 8.17/5.76 ((~v96(constB50)) <=> v98(constB50)),
% 8.17/5.76 inference(unit_resolution,[status(thm)],[7497, 7483, 860])).
% 8.17/5.76 tff(7499,plain,
% 8.17/5.76 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB49, constB50)) | (v98(constB50) <=> v1(constB49)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB49, constB50)) | (v98(constB50) <=> v1(constB49)))),
% 8.17/5.76 inference(rewrite,[status(thm)],[])).
% 8.17/5.76 tff(7500,plain,
% 8.17/5.76 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB49, constB50)) | (v98(constB50) <=> v1(constB49)))),
% 8.17/5.76 inference(quant_inst,[status(thm)],[])).
% 8.17/5.76 tff(7501,plain,
% 8.17/5.76 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB49, constB50)) | (v98(constB50) <=> v1(constB49))),
% 8.17/5.76 inference(modus_ponens,[status(thm)],[7500, 7499])).
% 8.17/5.76 tff(7502,plain,
% 8.17/5.76 (v98(constB50) <=> v1(constB49)),
% 8.17/5.76 inference(unit_resolution,[status(thm)],[7501, 7483, 874])).
% 8.17/5.76 tff(7503,plain,
% 8.17/5.76 ((~v1(constB49)) <=> (~v1(constB49))),
% 8.17/5.76 inference(rewrite,[status(thm)],[])).
% 8.17/5.76 tff(7504,axiom,(~v1(constB49)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_49')).
% 8.17/5.76 tff(7505,plain,
% 8.17/5.76 (~v1(constB49)),
% 8.17/5.76 inference(modus_ponens,[status(thm)],[7504, 7503])).
% 8.17/5.76 tff(7506,plain,
% 8.17/5.76 ((~(v98(constB50) <=> v1(constB49))) | (~v98(constB50)) | v1(constB49)),
% 8.17/5.76 inference(tautology,[status(thm)],[])).
% 8.17/5.76 tff(7507,plain,
% 8.17/5.76 ((~(v98(constB50) <=> v1(constB49))) | (~v98(constB50))),
% 8.17/5.76 inference(unit_resolution,[status(thm)],[7506, 7505])).
% 8.17/5.76 tff(7508,plain,
% 8.17/5.76 (~v98(constB50)),
% 8.17/5.76 inference(unit_resolution,[status(thm)],[7507, 7502])).
% 8.17/5.76 tff(7509,plain,
% 8.17/5.76 ((~((~v96(constB50)) <=> v98(constB50))) | v96(constB50) | v98(constB50)),
% 8.17/5.76 inference(tautology,[status(thm)],[])).
% 8.17/5.76 tff(7510,plain,
% 8.17/5.76 (v96(constB50)),
% 8.17/5.76 inference(unit_resolution,[status(thm)],[7509, 7508, 7498])).
% 8.17/5.76 tff(7511,plain,
% 8.17/5.76 (v1(constB50) <=> v1(constB50)),
% 8.17/5.76 inference(rewrite,[status(thm)],[])).
% 8.17/5.76 tff(7512,axiom,(v1(constB50)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_50')).
% 8.17/5.76 tff(7513,plain,
% 8.17/5.76 (v1(constB50)),
% 8.17/5.76 inference(modus_ponens,[status(thm)],[7512, 7511])).
% 8.17/5.76 tff(7514,plain,
% 8.17/5.76 ((~((~v1(constB50)) | (~v96(constB50)))) | (~v1(constB50)) | (~v96(constB50))),
% 8.17/5.76 inference(tautology,[status(thm)],[])).
% 8.17/5.76 tff(7515,plain,
% 8.17/5.76 ((~((~v1(constB50)) | (~v96(constB50)))) | (~v96(constB50))),
% 8.17/5.76 inference(unit_resolution,[status(thm)],[7514, 7513])).
% 8.17/5.76 tff(7516,plain,
% 8.17/5.76 (~((~v1(constB50)) | (~v96(constB50)))),
% 8.17/5.76 inference(unit_resolution,[status(thm)],[7515, 7510])).
% 8.17/5.76 tff(7517,plain,
% 8.17/5.76 ((~(v95(constB50) <=> (~((~v1(constB50)) | (~v96(constB50)))))) | v95(constB50) | ((~v1(constB50)) | (~v96(constB50)))),
% 8.17/5.76 inference(tautology,[status(thm)],[])).
% 8.17/5.76 tff(7518,plain,
% 8.17/5.76 (v95(constB50)),
% 8.17/5.76 inference(unit_resolution,[status(thm)],[7517, 7516, 7494])).
% 8.17/5.76 tff(7519,plain,
% 8.17/5.76 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB49, constB50)) | (v104(constB50) <=> v102(constB49)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB49, constB50)) | (v104(constB50) <=> v102(constB49)))),
% 8.17/5.76 inference(rewrite,[status(thm)],[])).
% 8.17/5.76 tff(7520,plain,
% 8.17/5.76 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB49, constB50)) | (v104(constB50) <=> v102(constB49)))),
% 8.17/5.76 inference(quant_inst,[status(thm)],[])).
% 8.17/5.76 tff(7521,plain,
% 8.17/5.76 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB49, constB50)) | (v104(constB50) <=> v102(constB49))),
% 8.17/5.76 inference(modus_ponens,[status(thm)],[7520, 7519])).
% 8.17/5.76 tff(7522,plain,
% 8.17/5.76 (v104(constB50) <=> v102(constB49)),
% 8.17/5.76 inference(unit_resolution,[status(thm)],[7521, 7483, 904])).
% 8.17/5.76 tff(7523,plain,
% 8.17/5.76 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB49) <=> (v105(constB49) | v106(constB49)))),
% 8.17/5.76 inference(quant_inst,[status(thm)],[])).
% 8.17/5.76 tff(7524,plain,
% 8.17/5.76 (v102(constB49) <=> (v105(constB49) | v106(constB49))),
% 8.17/5.77 inference(unit_resolution,[status(thm)],[7523, 915])).
% 8.17/5.77 tff(7525,plain,
% 8.17/5.77 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB49) <=> (~((~v107(constB49)) | (~v120(constB49)))))),
% 8.17/5.77 inference(quant_inst,[status(thm)],[])).
% 8.17/5.77 tff(7526,plain,
% 8.17/5.77 (v106(constB49) <=> (~((~v107(constB49)) | (~v120(constB49))))),
% 8.17/5.77 inference(unit_resolution,[status(thm)],[7525, 927])).
% 8.17/5.77 tff(7527,plain,
% 8.17/5.77 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB49) <=> (v108(constB49) | v119(constB49)))),
% 8.17/5.77 inference(quant_inst,[status(thm)],[])).
% 8.17/5.77 tff(7528,plain,
% 8.17/5.77 (v107(constB49) <=> (v108(constB49) | v119(constB49))),
% 8.17/5.77 inference(unit_resolution,[status(thm)],[7527, 936])).
% 8.17/5.77 tff(7529,plain,
% 8.17/5.77 (((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB49) <=> (~((~v84(constB49, bitIndex2)) | (~v84(constB49, bitIndex1)) | v84(constB49, bitIndex0))))) <=> ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB49) <=> (~((~v84(constB49, bitIndex2)) | (~v84(constB49, bitIndex1)) | v84(constB49, bitIndex0)))))),
% 8.17/5.77 inference(rewrite,[status(thm)],[])).
% 8.17/5.77 tff(7530,plain,
% 8.17/5.77 ((v119(constB49) <=> (~(v84(constB49, bitIndex0) | (~v84(constB49, bitIndex1)) | (~v84(constB49, bitIndex2))))) <=> (v119(constB49) <=> (~((~v84(constB49, bitIndex2)) | (~v84(constB49, bitIndex1)) | v84(constB49, bitIndex0))))),
% 8.17/5.77 inference(rewrite,[status(thm)],[])).
% 8.17/5.77 tff(7531,plain,
% 8.17/5.77 (((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB49) <=> (~(v84(constB49, bitIndex0) | (~v84(constB49, bitIndex1)) | (~v84(constB49, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB49) <=> (~((~v84(constB49, bitIndex2)) | (~v84(constB49, bitIndex1)) | v84(constB49, bitIndex0)))))),
% 8.17/5.77 inference(monotonicity,[status(thm)],[7530])).
% 8.17/5.77 tff(7532,plain,
% 8.17/5.77 (((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB49) <=> (~(v84(constB49, bitIndex0) | (~v84(constB49, bitIndex1)) | (~v84(constB49, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB49) <=> (~((~v84(constB49, bitIndex2)) | (~v84(constB49, bitIndex1)) | v84(constB49, bitIndex0)))))),
% 8.17/5.77 inference(transitivity,[status(thm)],[7531, 7529])).
% 8.17/5.77 tff(7533,plain,
% 8.17/5.77 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB49) <=> (~(v84(constB49, bitIndex0) | (~v84(constB49, bitIndex1)) | (~v84(constB49, bitIndex2)))))),
% 8.17/5.77 inference(quant_inst,[status(thm)],[])).
% 8.17/5.77 tff(7534,plain,
% 8.17/5.77 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB49) <=> (~((~v84(constB49, bitIndex2)) | (~v84(constB49, bitIndex1)) | v84(constB49, bitIndex0))))),
% 8.17/5.77 inference(modus_ponens,[status(thm)],[7533, 7532])).
% 8.17/5.77 tff(7535,plain,
% 8.17/5.77 (v119(constB49) <=> (~((~v84(constB49, bitIndex2)) | (~v84(constB49, bitIndex1)) | v84(constB49, bitIndex0)))),
% 8.17/5.77 inference(unit_resolution,[status(thm)],[7534, 1511])).
% 8.17/5.77 tff(7536,plain,
% 8.17/5.77 (nextState(constB48, constB49) <=> nextState(constB48, constB49)),
% 8.17/5.77 inference(rewrite,[status(thm)],[])).
% 8.17/5.77 tff(7537,axiom,(nextState(constB48, constB49)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_48')).
% 8.17/5.77 tff(7538,plain,
% 8.17/5.77 (nextState(constB48, constB49)),
% 8.17/5.77 inference(modus_ponens,[status(thm)],[7537, 7536])).
% 8.17/5.77 tff(7539,plain,
% 8.17/5.77 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB48, constB49)) | (v94(constB49) <=> (~((~v104(constB49)) | (~v95(constB49))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB48, constB49)) | (v94(constB49) <=> (~((~v104(constB49)) | (~v95(constB49))))))),
% 8.17/5.77 inference(rewrite,[status(thm)],[])).
% 8.17/5.77 tff(7540,plain,
% 8.17/5.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB48, constB49)) | (v94(constB49) <=> (~((~v104(constB49)) | (~v95(constB49))))))),
% 8.17/5.77 inference(quant_inst,[status(thm)],[])).
% 8.17/5.77 tff(7541,plain,
% 8.17/5.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB48, constB49)) | (v94(constB49) <=> (~((~v104(constB49)) | (~v95(constB49)))))),
% 8.17/5.77 inference(modus_ponens,[status(thm)],[7540, 7539])).
% 8.17/5.77 tff(7542,plain,
% 8.17/5.77 (v94(constB49) <=> (~((~v104(constB49)) | (~v95(constB49))))),
% 8.17/5.77 inference(unit_resolution,[status(thm)],[7541, 7538, 775])).
% 8.17/5.77 tff(7543,plain,
% 8.17/5.77 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB48, constB49)) | (v95(constB49) <=> (~((~v1(constB49)) | (~v96(constB49))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB48, constB49)) | (v95(constB49) <=> (~((~v1(constB49)) | (~v96(constB49))))))),
% 8.17/5.77 inference(rewrite,[status(thm)],[])).
% 8.17/5.77 tff(7544,plain,
% 8.17/5.77 (((~nextState(constB48, constB49)) | (v95(constB49) <=> (~((~v96(constB49)) | (~v1(constB49)))))) <=> ((~nextState(constB48, constB49)) | (v95(constB49) <=> (~((~v1(constB49)) | (~v96(constB49))))))),
% 8.17/5.77 inference(rewrite,[status(thm)],[])).
% 8.17/5.77 tff(7545,plain,
% 8.17/5.77 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB48, constB49)) | (v95(constB49) <=> (~((~v96(constB49)) | (~v1(constB49))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB48, constB49)) | (v95(constB49) <=> (~((~v1(constB49)) | (~v96(constB49)))))))),
% 8.17/5.77 inference(monotonicity,[status(thm)],[7544])).
% 8.17/5.77 tff(7546,plain,
% 8.17/5.77 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB48, constB49)) | (v95(constB49) <=> (~((~v96(constB49)) | (~v1(constB49))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB48, constB49)) | (v95(constB49) <=> (~((~v1(constB49)) | (~v96(constB49))))))),
% 8.17/5.77 inference(transitivity,[status(thm)],[7545, 7543])).
% 8.17/5.77 tff(7547,plain,
% 8.17/5.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB48, constB49)) | (v95(constB49) <=> (~((~v96(constB49)) | (~v1(constB49))))))),
% 8.17/5.77 inference(quant_inst,[status(thm)],[])).
% 8.17/5.77 tff(7548,plain,
% 8.17/5.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB48, constB49)) | (v95(constB49) <=> (~((~v1(constB49)) | (~v96(constB49)))))),
% 8.17/5.77 inference(modus_ponens,[status(thm)],[7547, 7546])).
% 8.17/5.77 tff(7549,plain,
% 8.17/5.77 (v95(constB49) <=> (~((~v1(constB49)) | (~v96(constB49))))),
% 8.17/5.77 inference(unit_resolution,[status(thm)],[7548, 7538, 795])).
% 8.17/5.77 tff(7550,plain,
% 8.17/5.77 (((~v1(constB49)) | (~v96(constB49))) | v1(constB49)),
% 8.17/5.77 inference(tautology,[status(thm)],[])).
% 8.17/5.77 tff(7551,plain,
% 8.17/5.77 ((~v1(constB49)) | (~v96(constB49))),
% 8.17/5.77 inference(unit_resolution,[status(thm)],[7550, 7505])).
% 8.17/5.77 tff(7552,plain,
% 8.17/5.77 ((~(v95(constB49) <=> (~((~v1(constB49)) | (~v96(constB49)))))) | (~v95(constB49)) | (~((~v1(constB49)) | (~v96(constB49))))),
% 8.17/5.77 inference(tautology,[status(thm)],[])).
% 8.17/5.77 tff(7553,plain,
% 8.17/5.77 ((~(v95(constB49) <=> (~((~v1(constB49)) | (~v96(constB49)))))) | (~v95(constB49))),
% 8.17/5.77 inference(unit_resolution,[status(thm)],[7552, 7551])).
% 8.17/5.77 tff(7554,plain,
% 8.17/5.77 (~v95(constB49)),
% 8.17/5.77 inference(unit_resolution,[status(thm)],[7553, 7549])).
% 8.17/5.77 tff(7555,plain,
% 8.17/5.77 (((~v104(constB49)) | (~v95(constB49))) | v95(constB49)),
% 8.17/5.77 inference(tautology,[status(thm)],[])).
% 8.17/5.77 tff(7556,plain,
% 8.17/5.77 ((~v104(constB49)) | (~v95(constB49))),
% 8.17/5.77 inference(unit_resolution,[status(thm)],[7555, 7554])).
% 8.17/5.77 tff(7557,plain,
% 8.17/5.77 ((~(v94(constB49) <=> (~((~v104(constB49)) | (~v95(constB49)))))) | (~v94(constB49)) | (~((~v104(constB49)) | (~v95(constB49))))),
% 8.17/5.77 inference(tautology,[status(thm)],[])).
% 8.17/5.77 tff(7558,plain,
% 8.17/5.77 (~v94(constB49)),
% 8.17/5.77 inference(unit_resolution,[status(thm)],[7557, 7556, 7542])).
% 8.17/5.77 tff(7559,plain,
% 8.17/5.77 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB49) | (~nextState(constB48, constB49)) | ![B: $i] : ((~less_3(B)) | (v84(constB49, B) <=> v84(constB48, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB49) | (~nextState(constB48, constB49)) | ![B: $i] : ((~less_3(B)) | (v84(constB49, B) <=> v84(constB48, B))))),
% 8.17/5.77 inference(rewrite,[status(thm)],[])).
% 8.17/5.77 tff(7560,plain,
% 8.17/5.77 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB49) | (~nextState(constB48, constB49)) | ![B: $i] : ((~less_3(B)) | (v84(constB49, B) <=> v84(constB48, B))))),
% 8.17/5.77 inference(quant_inst,[status(thm)],[])).
% 8.17/5.77 tff(7561,plain,
% 8.17/5.77 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB49) | (~nextState(constB48, constB49)) | ![B: $i] : ((~less_3(B)) | (v84(constB49, B) <=> v84(constB48, B)))),
% 8.17/5.77 inference(modus_ponens,[status(thm)],[7560, 7559])).
% 8.17/5.77 tff(7562,plain,
% 8.17/5.77 (v94(constB49) | ![B: $i] : ((~less_3(B)) | (v84(constB49, B) <=> v84(constB48, B)))),
% 8.17/5.77 inference(unit_resolution,[status(thm)],[7561, 7538, 824])).
% 8.17/5.77 tff(7563,plain,
% 8.17/5.77 (![B: $i] : ((~less_3(B)) | (v84(constB49, B) <=> v84(constB48, B)))),
% 8.17/5.77 inference(unit_resolution,[status(thm)],[7562, 7558])).
% 8.17/5.77 tff(7564,plain,
% 8.17/5.77 (((~![B: $i] : ((~less_3(B)) | (v84(constB49, B) <=> v84(constB48, B)))) | ((~less_3(bitIndex2)) | (v84(constB49, bitIndex2) <=> v84(constB48, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB49, B) <=> v84(constB48, B)))) | (~less_3(bitIndex2)) | (v84(constB49, bitIndex2) <=> v84(constB48, bitIndex2)))),
% 8.17/5.77 inference(rewrite,[status(thm)],[])).
% 8.17/5.77 tff(7565,plain,
% 8.17/5.77 ((~![B: $i] : ((~less_3(B)) | (v84(constB49, B) <=> v84(constB48, B)))) | ((~less_3(bitIndex2)) | (v84(constB49, bitIndex2) <=> v84(constB48, bitIndex2)))),
% 8.17/5.77 inference(quant_inst,[status(thm)],[])).
% 8.17/5.77 tff(7566,plain,
% 8.17/5.77 ((~![B: $i] : ((~less_3(B)) | (v84(constB49, B) <=> v84(constB48, B)))) | (~less_3(bitIndex2)) | (v84(constB49, bitIndex2) <=> v84(constB48, bitIndex2))),
% 8.17/5.77 inference(modus_ponens,[status(thm)],[7565, 7564])).
% 8.17/5.77 tff(7567,plain,
% 8.17/5.77 (v84(constB49, bitIndex2) <=> v84(constB48, bitIndex2)),
% 8.17/5.77 inference(unit_resolution,[status(thm)],[7566, 832, 7563])).
% 8.17/5.77 tff(7568,plain,
% 8.17/5.77 (nextState(constB47, constB48) <=> nextState(constB47, constB48)),
% 8.17/5.77 inference(rewrite,[status(thm)],[])).
% 8.17/5.77 tff(7569,axiom,(nextState(constB47, constB48)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_47')).
% 8.17/5.77 tff(7570,plain,
% 8.17/5.77 (nextState(constB47, constB48)),
% 8.17/5.77 inference(modus_ponens,[status(thm)],[7569, 7568])).
% 8.17/5.77 tff(7571,plain,
% 8.17/5.77 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB47, constB48)) | (v94(constB48) <=> (~((~v104(constB48)) | (~v95(constB48))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB47, constB48)) | (v94(constB48) <=> (~((~v104(constB48)) | (~v95(constB48))))))),
% 8.17/5.77 inference(rewrite,[status(thm)],[])).
% 8.17/5.77 tff(7572,plain,
% 8.17/5.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB47, constB48)) | (v94(constB48) <=> (~((~v104(constB48)) | (~v95(constB48))))))),
% 8.17/5.77 inference(quant_inst,[status(thm)],[])).
% 8.17/5.77 tff(7573,plain,
% 8.17/5.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB47, constB48)) | (v94(constB48) <=> (~((~v104(constB48)) | (~v95(constB48)))))),
% 8.17/5.77 inference(modus_ponens,[status(thm)],[7572, 7571])).
% 8.17/5.77 tff(7574,plain,
% 8.17/5.77 (v94(constB48) <=> (~((~v104(constB48)) | (~v95(constB48))))),
% 8.17/5.77 inference(unit_resolution,[status(thm)],[7573, 7570, 775])).
% 8.17/5.77 tff(7575,plain,
% 8.17/5.77 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB47, constB48)) | (v95(constB48) <=> (~((~v1(constB48)) | (~v96(constB48))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB47, constB48)) | (v95(constB48) <=> (~((~v1(constB48)) | (~v96(constB48))))))),
% 8.17/5.77 inference(rewrite,[status(thm)],[])).
% 8.17/5.77 tff(7576,plain,
% 8.17/5.77 (((~nextState(constB47, constB48)) | (v95(constB48) <=> (~((~v96(constB48)) | (~v1(constB48)))))) <=> ((~nextState(constB47, constB48)) | (v95(constB48) <=> (~((~v1(constB48)) | (~v96(constB48))))))),
% 8.17/5.77 inference(rewrite,[status(thm)],[])).
% 8.17/5.77 tff(7577,plain,
% 8.17/5.77 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB47, constB48)) | (v95(constB48) <=> (~((~v96(constB48)) | (~v1(constB48))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB47, constB48)) | (v95(constB48) <=> (~((~v1(constB48)) | (~v96(constB48)))))))),
% 8.17/5.77 inference(monotonicity,[status(thm)],[7576])).
% 8.17/5.77 tff(7578,plain,
% 8.17/5.77 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB47, constB48)) | (v95(constB48) <=> (~((~v96(constB48)) | (~v1(constB48))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB47, constB48)) | (v95(constB48) <=> (~((~v1(constB48)) | (~v96(constB48))))))),
% 8.17/5.77 inference(transitivity,[status(thm)],[7577, 7575])).
% 8.17/5.77 tff(7579,plain,
% 8.17/5.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB47, constB48)) | (v95(constB48) <=> (~((~v96(constB48)) | (~v1(constB48))))))),
% 8.17/5.77 inference(quant_inst,[status(thm)],[])).
% 8.17/5.77 tff(7580,plain,
% 8.17/5.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB47, constB48)) | (v95(constB48) <=> (~((~v1(constB48)) | (~v96(constB48)))))),
% 8.17/5.77 inference(modus_ponens,[status(thm)],[7579, 7578])).
% 8.17/5.77 tff(7581,plain,
% 8.17/5.77 (v95(constB48) <=> (~((~v1(constB48)) | (~v96(constB48))))),
% 8.17/5.77 inference(unit_resolution,[status(thm)],[7580, 7570, 795])).
% 8.17/5.77 tff(7582,plain,
% 8.17/5.77 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB47, constB48)) | ((~v96(constB48)) <=> v98(constB48)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB47, constB48)) | ((~v96(constB48)) <=> v98(constB48)))),
% 8.17/5.77 inference(rewrite,[status(thm)],[])).
% 8.17/5.77 tff(7583,plain,
% 8.17/5.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB47, constB48)) | ((~v96(constB48)) <=> v98(constB48)))),
% 8.17/5.77 inference(quant_inst,[status(thm)],[])).
% 8.17/5.77 tff(7584,plain,
% 8.17/5.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB47, constB48)) | ((~v96(constB48)) <=> v98(constB48))),
% 8.17/5.77 inference(modus_ponens,[status(thm)],[7583, 7582])).
% 8.17/5.77 tff(7585,plain,
% 8.17/5.77 ((~v96(constB48)) <=> v98(constB48)),
% 8.17/5.77 inference(unit_resolution,[status(thm)],[7584, 7570, 860])).
% 8.17/5.77 tff(7586,plain,
% 8.17/5.77 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB47, constB48)) | (v98(constB48) <=> v1(constB47)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB47, constB48)) | (v98(constB48) <=> v1(constB47)))),
% 8.17/5.77 inference(rewrite,[status(thm)],[])).
% 8.17/5.77 tff(7587,plain,
% 8.17/5.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB47, constB48)) | (v98(constB48) <=> v1(constB47)))),
% 8.17/5.77 inference(quant_inst,[status(thm)],[])).
% 8.17/5.77 tff(7588,plain,
% 8.17/5.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB47, constB48)) | (v98(constB48) <=> v1(constB47))),
% 8.17/5.77 inference(modus_ponens,[status(thm)],[7587, 7586])).
% 8.17/5.77 tff(7589,plain,
% 8.17/5.77 (v98(constB48) <=> v1(constB47)),
% 8.17/5.77 inference(unit_resolution,[status(thm)],[7588, 7570, 874])).
% 8.17/5.77 tff(7590,plain,
% 8.17/5.77 ((~v1(constB47)) <=> (~v1(constB47))),
% 8.17/5.77 inference(rewrite,[status(thm)],[])).
% 8.17/5.77 tff(7591,axiom,(~v1(constB47)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_47')).
% 8.17/5.77 tff(7592,plain,
% 8.17/5.77 (~v1(constB47)),
% 8.17/5.77 inference(modus_ponens,[status(thm)],[7591, 7590])).
% 8.17/5.77 tff(7593,plain,
% 8.17/5.77 ((~(v98(constB48) <=> v1(constB47))) | (~v98(constB48)) | v1(constB47)),
% 8.17/5.77 inference(tautology,[status(thm)],[])).
% 8.17/5.77 tff(7594,plain,
% 8.17/5.77 ((~(v98(constB48) <=> v1(constB47))) | (~v98(constB48))),
% 8.17/5.77 inference(unit_resolution,[status(thm)],[7593, 7592])).
% 8.17/5.77 tff(7595,plain,
% 8.17/5.77 (~v98(constB48)),
% 8.17/5.77 inference(unit_resolution,[status(thm)],[7594, 7589])).
% 8.17/5.77 tff(7596,plain,
% 8.17/5.77 ((~((~v96(constB48)) <=> v98(constB48))) | v96(constB48) | v98(constB48)),
% 8.17/5.77 inference(tautology,[status(thm)],[])).
% 8.17/5.77 tff(7597,plain,
% 8.17/5.77 (v96(constB48)),
% 8.17/5.77 inference(unit_resolution,[status(thm)],[7596, 7595, 7585])).
% 8.17/5.77 tff(7598,plain,
% 8.17/5.77 (v1(constB48) <=> v1(constB48)),
% 8.17/5.77 inference(rewrite,[status(thm)],[])).
% 8.17/5.77 tff(7599,axiom,(v1(constB48)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_48')).
% 8.17/5.77 tff(7600,plain,
% 8.17/5.77 (v1(constB48)),
% 8.17/5.77 inference(modus_ponens,[status(thm)],[7599, 7598])).
% 8.17/5.77 tff(7601,plain,
% 8.17/5.77 ((~((~v1(constB48)) | (~v96(constB48)))) | (~v1(constB48)) | (~v96(constB48))),
% 8.17/5.77 inference(tautology,[status(thm)],[])).
% 8.17/5.77 tff(7602,plain,
% 8.17/5.77 ((~((~v1(constB48)) | (~v96(constB48)))) | (~v96(constB48))),
% 8.17/5.77 inference(unit_resolution,[status(thm)],[7601, 7600])).
% 8.17/5.77 tff(7603,plain,
% 8.17/5.77 (~((~v1(constB48)) | (~v96(constB48)))),
% 8.17/5.77 inference(unit_resolution,[status(thm)],[7602, 7597])).
% 8.17/5.77 tff(7604,plain,
% 8.17/5.77 ((~(v95(constB48) <=> (~((~v1(constB48)) | (~v96(constB48)))))) | v95(constB48) | ((~v1(constB48)) | (~v96(constB48)))),
% 8.17/5.77 inference(tautology,[status(thm)],[])).
% 8.17/5.77 tff(7605,plain,
% 8.17/5.77 (v95(constB48)),
% 8.17/5.77 inference(unit_resolution,[status(thm)],[7604, 7603, 7581])).
% 8.17/5.77 tff(7606,plain,
% 8.17/5.77 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB47, constB48)) | (v104(constB48) <=> v102(constB47)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB47, constB48)) | (v104(constB48) <=> v102(constB47)))),
% 8.17/5.77 inference(rewrite,[status(thm)],[])).
% 8.17/5.77 tff(7607,plain,
% 8.17/5.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB47, constB48)) | (v104(constB48) <=> v102(constB47)))),
% 8.17/5.77 inference(quant_inst,[status(thm)],[])).
% 8.26/5.77 tff(7608,plain,
% 8.26/5.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB47, constB48)) | (v104(constB48) <=> v102(constB47))),
% 8.26/5.77 inference(modus_ponens,[status(thm)],[7607, 7606])).
% 8.26/5.77 tff(7609,plain,
% 8.26/5.77 (v104(constB48) <=> v102(constB47)),
% 8.26/5.77 inference(unit_resolution,[status(thm)],[7608, 7570, 904])).
% 8.26/5.77 tff(7610,plain,
% 8.26/5.77 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB47) <=> (v105(constB47) | v106(constB47)))),
% 8.26/5.77 inference(quant_inst,[status(thm)],[])).
% 8.26/5.77 tff(7611,plain,
% 8.26/5.77 (v102(constB47) <=> (v105(constB47) | v106(constB47))),
% 8.26/5.77 inference(unit_resolution,[status(thm)],[7610, 915])).
% 8.26/5.77 tff(7612,plain,
% 8.26/5.77 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB47) <=> (~((~v107(constB47)) | (~v120(constB47)))))),
% 8.26/5.77 inference(quant_inst,[status(thm)],[])).
% 8.26/5.77 tff(7613,plain,
% 8.26/5.77 (v106(constB47) <=> (~((~v107(constB47)) | (~v120(constB47))))),
% 8.26/5.77 inference(unit_resolution,[status(thm)],[7612, 927])).
% 8.26/5.77 tff(7614,plain,
% 8.26/5.77 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB47) <=> (v108(constB47) | v119(constB47)))),
% 8.26/5.77 inference(quant_inst,[status(thm)],[])).
% 8.26/5.77 tff(7615,plain,
% 8.26/5.77 (v107(constB47) <=> (v108(constB47) | v119(constB47))),
% 8.26/5.77 inference(unit_resolution,[status(thm)],[7614, 936])).
% 8.26/5.77 tff(7616,plain,
% 8.26/5.77 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB47) <=> (v109(constB47) | v118(constB47)))),
% 8.26/5.77 inference(quant_inst,[status(thm)],[])).
% 8.26/5.77 tff(7617,plain,
% 8.26/5.77 (v108(constB47) <=> (v109(constB47) | v118(constB47))),
% 8.26/5.77 inference(unit_resolution,[status(thm)],[7616, 945])).
% 8.26/5.77 tff(7618,plain,
% 8.26/5.77 (((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB47) <=> (~((~v84(constB47, bitIndex2)) | v84(constB47, bitIndex1) | (~v84(constB47, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB47) <=> (~((~v84(constB47, bitIndex2)) | v84(constB47, bitIndex1) | (~v84(constB47, bitIndex0))))))),
% 8.26/5.77 inference(rewrite,[status(thm)],[])).
% 8.26/5.77 tff(7619,plain,
% 8.26/5.77 ((v118(constB47) <=> (~(v84(constB47, bitIndex1) | (~v84(constB47, bitIndex0)) | (~v84(constB47, bitIndex2))))) <=> (v118(constB47) <=> (~((~v84(constB47, bitIndex2)) | v84(constB47, bitIndex1) | (~v84(constB47, bitIndex0)))))),
% 8.26/5.77 inference(rewrite,[status(thm)],[])).
% 8.26/5.77 tff(7620,plain,
% 8.26/5.77 (((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB47) <=> (~(v84(constB47, bitIndex1) | (~v84(constB47, bitIndex0)) | (~v84(constB47, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB47) <=> (~((~v84(constB47, bitIndex2)) | v84(constB47, bitIndex1) | (~v84(constB47, bitIndex0))))))),
% 8.26/5.77 inference(monotonicity,[status(thm)],[7619])).
% 8.26/5.77 tff(7621,plain,
% 8.26/5.77 (((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB47) <=> (~(v84(constB47, bitIndex1) | (~v84(constB47, bitIndex0)) | (~v84(constB47, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB47) <=> (~((~v84(constB47, bitIndex2)) | v84(constB47, bitIndex1) | (~v84(constB47, bitIndex0))))))),
% 8.26/5.77 inference(transitivity,[status(thm)],[7620, 7618])).
% 8.26/5.77 tff(7622,plain,
% 8.26/5.77 ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB47) <=> (~(v84(constB47, bitIndex1) | (~v84(constB47, bitIndex0)) | (~v84(constB47, bitIndex2)))))),
% 8.26/5.77 inference(quant_inst,[status(thm)],[])).
% 8.26/5.77 tff(7623,plain,
% 8.26/5.77 ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB47) <=> (~((~v84(constB47, bitIndex2)) | v84(constB47, bitIndex1) | (~v84(constB47, bitIndex0)))))),
% 8.26/5.77 inference(modus_ponens,[status(thm)],[7622, 7621])).
% 8.26/5.77 tff(7624,plain,
% 8.26/5.77 (v118(constB47) <=> (~((~v84(constB47, bitIndex2)) | v84(constB47, bitIndex1) | (~v84(constB47, bitIndex0))))),
% 8.26/5.77 inference(unit_resolution,[status(thm)],[7623, 960])).
% 8.26/5.77 tff(7625,plain,
% 8.26/5.77 (nextState(constB46, constB47) <=> nextState(constB46, constB47)),
% 8.26/5.77 inference(rewrite,[status(thm)],[])).
% 8.26/5.77 tff(7626,axiom,(nextState(constB46, constB47)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_46')).
% 8.26/5.77 tff(7627,plain,
% 8.26/5.77 (nextState(constB46, constB47)),
% 8.26/5.77 inference(modus_ponens,[status(thm)],[7626, 7625])).
% 8.26/5.77 tff(7628,plain,
% 8.26/5.77 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB46, constB47)) | (v94(constB47) <=> (~((~v104(constB47)) | (~v95(constB47))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB46, constB47)) | (v94(constB47) <=> (~((~v104(constB47)) | (~v95(constB47))))))),
% 8.26/5.77 inference(rewrite,[status(thm)],[])).
% 8.26/5.77 tff(7629,plain,
% 8.26/5.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB46, constB47)) | (v94(constB47) <=> (~((~v104(constB47)) | (~v95(constB47))))))),
% 8.26/5.77 inference(quant_inst,[status(thm)],[])).
% 8.26/5.77 tff(7630,plain,
% 8.26/5.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB46, constB47)) | (v94(constB47) <=> (~((~v104(constB47)) | (~v95(constB47)))))),
% 8.26/5.77 inference(modus_ponens,[status(thm)],[7629, 7628])).
% 8.26/5.77 tff(7631,plain,
% 8.26/5.77 (v94(constB47) <=> (~((~v104(constB47)) | (~v95(constB47))))),
% 8.26/5.77 inference(unit_resolution,[status(thm)],[7630, 7627, 775])).
% 8.26/5.77 tff(7632,plain,
% 8.26/5.77 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB46, constB47)) | (v95(constB47) <=> (~((~v1(constB47)) | (~v96(constB47))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB46, constB47)) | (v95(constB47) <=> (~((~v1(constB47)) | (~v96(constB47))))))),
% 8.26/5.77 inference(rewrite,[status(thm)],[])).
% 8.26/5.77 tff(7633,plain,
% 8.26/5.77 (((~nextState(constB46, constB47)) | (v95(constB47) <=> (~((~v96(constB47)) | (~v1(constB47)))))) <=> ((~nextState(constB46, constB47)) | (v95(constB47) <=> (~((~v1(constB47)) | (~v96(constB47))))))),
% 8.26/5.77 inference(rewrite,[status(thm)],[])).
% 8.26/5.77 tff(7634,plain,
% 8.26/5.77 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB46, constB47)) | (v95(constB47) <=> (~((~v96(constB47)) | (~v1(constB47))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB46, constB47)) | (v95(constB47) <=> (~((~v1(constB47)) | (~v96(constB47)))))))),
% 8.26/5.77 inference(monotonicity,[status(thm)],[7633])).
% 8.26/5.77 tff(7635,plain,
% 8.26/5.77 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB46, constB47)) | (v95(constB47) <=> (~((~v96(constB47)) | (~v1(constB47))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB46, constB47)) | (v95(constB47) <=> (~((~v1(constB47)) | (~v96(constB47))))))),
% 8.26/5.77 inference(transitivity,[status(thm)],[7634, 7632])).
% 8.26/5.77 tff(7636,plain,
% 8.26/5.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB46, constB47)) | (v95(constB47) <=> (~((~v96(constB47)) | (~v1(constB47))))))),
% 8.26/5.77 inference(quant_inst,[status(thm)],[])).
% 8.26/5.77 tff(7637,plain,
% 8.26/5.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB46, constB47)) | (v95(constB47) <=> (~((~v1(constB47)) | (~v96(constB47)))))),
% 8.26/5.77 inference(modus_ponens,[status(thm)],[7636, 7635])).
% 8.26/5.77 tff(7638,plain,
% 8.26/5.77 (v95(constB47) <=> (~((~v1(constB47)) | (~v96(constB47))))),
% 8.26/5.77 inference(unit_resolution,[status(thm)],[7637, 7627, 795])).
% 8.26/5.77 tff(7639,plain,
% 8.26/5.77 (((~v1(constB47)) | (~v96(constB47))) | v1(constB47)),
% 8.26/5.77 inference(tautology,[status(thm)],[])).
% 8.26/5.77 tff(7640,plain,
% 8.26/5.77 ((~v1(constB47)) | (~v96(constB47))),
% 8.26/5.77 inference(unit_resolution,[status(thm)],[7639, 7592])).
% 8.26/5.77 tff(7641,plain,
% 8.26/5.77 ((~(v95(constB47) <=> (~((~v1(constB47)) | (~v96(constB47)))))) | (~v95(constB47)) | (~((~v1(constB47)) | (~v96(constB47))))),
% 8.26/5.77 inference(tautology,[status(thm)],[])).
% 8.26/5.77 tff(7642,plain,
% 8.26/5.77 ((~(v95(constB47) <=> (~((~v1(constB47)) | (~v96(constB47)))))) | (~v95(constB47))),
% 8.26/5.77 inference(unit_resolution,[status(thm)],[7641, 7640])).
% 8.26/5.77 tff(7643,plain,
% 8.26/5.77 (~v95(constB47)),
% 8.26/5.77 inference(unit_resolution,[status(thm)],[7642, 7638])).
% 8.26/5.77 tff(7644,plain,
% 8.26/5.77 (((~v104(constB47)) | (~v95(constB47))) | v95(constB47)),
% 8.26/5.77 inference(tautology,[status(thm)],[])).
% 8.26/5.77 tff(7645,plain,
% 8.26/5.77 ((~v104(constB47)) | (~v95(constB47))),
% 8.26/5.77 inference(unit_resolution,[status(thm)],[7644, 7643])).
% 8.26/5.77 tff(7646,plain,
% 8.26/5.77 ((~(v94(constB47) <=> (~((~v104(constB47)) | (~v95(constB47)))))) | (~v94(constB47)) | (~((~v104(constB47)) | (~v95(constB47))))),
% 8.26/5.77 inference(tautology,[status(thm)],[])).
% 8.26/5.77 tff(7647,plain,
% 8.26/5.77 (~v94(constB47)),
% 8.26/5.77 inference(unit_resolution,[status(thm)],[7646, 7645, 7631])).
% 8.26/5.77 tff(7648,plain,
% 8.26/5.77 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB47) | (~nextState(constB46, constB47)) | ![B: $i] : ((~less_3(B)) | (v84(constB47, B) <=> v84(constB46, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB47) | (~nextState(constB46, constB47)) | ![B: $i] : ((~less_3(B)) | (v84(constB47, B) <=> v84(constB46, B))))),
% 8.26/5.77 inference(rewrite,[status(thm)],[])).
% 8.26/5.77 tff(7649,plain,
% 8.26/5.77 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB47) | (~nextState(constB46, constB47)) | ![B: $i] : ((~less_3(B)) | (v84(constB47, B) <=> v84(constB46, B))))),
% 8.26/5.77 inference(quant_inst,[status(thm)],[])).
% 8.26/5.77 tff(7650,plain,
% 8.26/5.77 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB47) | (~nextState(constB46, constB47)) | ![B: $i] : ((~less_3(B)) | (v84(constB47, B) <=> v84(constB46, B)))),
% 8.26/5.77 inference(modus_ponens,[status(thm)],[7649, 7648])).
% 8.26/5.77 tff(7651,plain,
% 8.26/5.77 (v94(constB47) | ![B: $i] : ((~less_3(B)) | (v84(constB47, B) <=> v84(constB46, B)))),
% 8.26/5.77 inference(unit_resolution,[status(thm)],[7650, 7627, 824])).
% 8.26/5.77 tff(7652,plain,
% 8.26/5.77 (![B: $i] : ((~less_3(B)) | (v84(constB47, B) <=> v84(constB46, B)))),
% 8.26/5.77 inference(unit_resolution,[status(thm)],[7651, 7647])).
% 8.26/5.77 tff(7653,plain,
% 8.26/5.77 (((~![B: $i] : ((~less_3(B)) | (v84(constB47, B) <=> v84(constB46, B)))) | ((~less_3(bitIndex2)) | (v84(constB47, bitIndex2) <=> v84(constB46, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB47, B) <=> v84(constB46, B)))) | (~less_3(bitIndex2)) | (v84(constB47, bitIndex2) <=> v84(constB46, bitIndex2)))),
% 8.26/5.77 inference(rewrite,[status(thm)],[])).
% 8.26/5.77 tff(7654,plain,
% 8.26/5.77 ((~![B: $i] : ((~less_3(B)) | (v84(constB47, B) <=> v84(constB46, B)))) | ((~less_3(bitIndex2)) | (v84(constB47, bitIndex2) <=> v84(constB46, bitIndex2)))),
% 8.26/5.77 inference(quant_inst,[status(thm)],[])).
% 8.26/5.77 tff(7655,plain,
% 8.26/5.77 ((~![B: $i] : ((~less_3(B)) | (v84(constB47, B) <=> v84(constB46, B)))) | (~less_3(bitIndex2)) | (v84(constB47, bitIndex2) <=> v84(constB46, bitIndex2))),
% 8.26/5.77 inference(modus_ponens,[status(thm)],[7654, 7653])).
% 8.26/5.77 tff(7656,plain,
% 8.26/5.77 (v84(constB47, bitIndex2) <=> v84(constB46, bitIndex2)),
% 8.26/5.77 inference(unit_resolution,[status(thm)],[7655, 832, 7652])).
% 8.26/5.77 tff(7657,plain,
% 8.26/5.77 (nextState(constB45, constB46) <=> nextState(constB45, constB46)),
% 8.26/5.77 inference(rewrite,[status(thm)],[])).
% 8.26/5.77 tff(7658,axiom,(nextState(constB45, constB46)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_45')).
% 8.26/5.77 tff(7659,plain,
% 8.26/5.77 (nextState(constB45, constB46)),
% 8.26/5.77 inference(modus_ponens,[status(thm)],[7658, 7657])).
% 8.26/5.77 tff(7660,plain,
% 8.26/5.77 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB45, constB46)) | (v94(constB46) <=> (~((~v104(constB46)) | (~v95(constB46))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB45, constB46)) | (v94(constB46) <=> (~((~v104(constB46)) | (~v95(constB46))))))),
% 8.26/5.77 inference(rewrite,[status(thm)],[])).
% 8.26/5.77 tff(7661,plain,
% 8.26/5.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB45, constB46)) | (v94(constB46) <=> (~((~v104(constB46)) | (~v95(constB46))))))),
% 8.26/5.77 inference(quant_inst,[status(thm)],[])).
% 8.26/5.77 tff(7662,plain,
% 8.26/5.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB45, constB46)) | (v94(constB46) <=> (~((~v104(constB46)) | (~v95(constB46)))))),
% 8.26/5.77 inference(modus_ponens,[status(thm)],[7661, 7660])).
% 8.26/5.77 tff(7663,plain,
% 8.26/5.77 (v94(constB46) <=> (~((~v104(constB46)) | (~v95(constB46))))),
% 8.26/5.77 inference(unit_resolution,[status(thm)],[7662, 7659, 775])).
% 8.26/5.77 tff(7664,plain,
% 8.26/5.77 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB45, constB46)) | (v95(constB46) <=> (~((~v1(constB46)) | (~v96(constB46))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB45, constB46)) | (v95(constB46) <=> (~((~v1(constB46)) | (~v96(constB46))))))),
% 8.26/5.77 inference(rewrite,[status(thm)],[])).
% 8.26/5.77 tff(7665,plain,
% 8.26/5.77 (((~nextState(constB45, constB46)) | (v95(constB46) <=> (~((~v96(constB46)) | (~v1(constB46)))))) <=> ((~nextState(constB45, constB46)) | (v95(constB46) <=> (~((~v1(constB46)) | (~v96(constB46))))))),
% 8.26/5.77 inference(rewrite,[status(thm)],[])).
% 8.26/5.77 tff(7666,plain,
% 8.26/5.77 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB45, constB46)) | (v95(constB46) <=> (~((~v96(constB46)) | (~v1(constB46))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB45, constB46)) | (v95(constB46) <=> (~((~v1(constB46)) | (~v96(constB46)))))))),
% 8.26/5.77 inference(monotonicity,[status(thm)],[7665])).
% 8.26/5.77 tff(7667,plain,
% 8.26/5.77 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB45, constB46)) | (v95(constB46) <=> (~((~v96(constB46)) | (~v1(constB46))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB45, constB46)) | (v95(constB46) <=> (~((~v1(constB46)) | (~v96(constB46))))))),
% 8.26/5.77 inference(transitivity,[status(thm)],[7666, 7664])).
% 8.26/5.77 tff(7668,plain,
% 8.26/5.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB45, constB46)) | (v95(constB46) <=> (~((~v96(constB46)) | (~v1(constB46))))))),
% 8.26/5.77 inference(quant_inst,[status(thm)],[])).
% 8.26/5.78 tff(7669,plain,
% 8.26/5.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB45, constB46)) | (v95(constB46) <=> (~((~v1(constB46)) | (~v96(constB46)))))),
% 8.26/5.78 inference(modus_ponens,[status(thm)],[7668, 7667])).
% 8.26/5.78 tff(7670,plain,
% 8.26/5.78 (v95(constB46) <=> (~((~v1(constB46)) | (~v96(constB46))))),
% 8.26/5.78 inference(unit_resolution,[status(thm)],[7669, 7659, 795])).
% 8.26/5.78 tff(7671,plain,
% 8.26/5.78 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB45, constB46)) | ((~v96(constB46)) <=> v98(constB46)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB45, constB46)) | ((~v96(constB46)) <=> v98(constB46)))),
% 8.26/5.78 inference(rewrite,[status(thm)],[])).
% 8.26/5.78 tff(7672,plain,
% 8.26/5.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB45, constB46)) | ((~v96(constB46)) <=> v98(constB46)))),
% 8.26/5.78 inference(quant_inst,[status(thm)],[])).
% 8.26/5.78 tff(7673,plain,
% 8.26/5.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB45, constB46)) | ((~v96(constB46)) <=> v98(constB46))),
% 8.26/5.78 inference(modus_ponens,[status(thm)],[7672, 7671])).
% 8.26/5.78 tff(7674,plain,
% 8.26/5.78 ((~v96(constB46)) <=> v98(constB46)),
% 8.26/5.78 inference(unit_resolution,[status(thm)],[7673, 7659, 860])).
% 8.26/5.78 tff(7675,plain,
% 8.26/5.78 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB45, constB46)) | (v98(constB46) <=> v1(constB45)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB45, constB46)) | (v98(constB46) <=> v1(constB45)))),
% 8.26/5.78 inference(rewrite,[status(thm)],[])).
% 8.26/5.78 tff(7676,plain,
% 8.26/5.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB45, constB46)) | (v98(constB46) <=> v1(constB45)))),
% 8.26/5.78 inference(quant_inst,[status(thm)],[])).
% 8.26/5.78 tff(7677,plain,
% 8.26/5.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB45, constB46)) | (v98(constB46) <=> v1(constB45))),
% 8.26/5.78 inference(modus_ponens,[status(thm)],[7676, 7675])).
% 8.26/5.78 tff(7678,plain,
% 8.26/5.78 (v98(constB46) <=> v1(constB45)),
% 8.26/5.78 inference(unit_resolution,[status(thm)],[7677, 7659, 874])).
% 8.26/5.78 tff(7679,plain,
% 8.26/5.78 ((~v1(constB45)) <=> (~v1(constB45))),
% 8.26/5.78 inference(rewrite,[status(thm)],[])).
% 8.26/5.78 tff(7680,axiom,(~v1(constB45)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_45')).
% 8.26/5.78 tff(7681,plain,
% 8.26/5.78 (~v1(constB45)),
% 8.26/5.78 inference(modus_ponens,[status(thm)],[7680, 7679])).
% 8.26/5.78 tff(7682,plain,
% 8.26/5.78 ((~(v98(constB46) <=> v1(constB45))) | (~v98(constB46)) | v1(constB45)),
% 8.26/5.78 inference(tautology,[status(thm)],[])).
% 8.26/5.78 tff(7683,plain,
% 8.26/5.78 ((~(v98(constB46) <=> v1(constB45))) | (~v98(constB46))),
% 8.26/5.78 inference(unit_resolution,[status(thm)],[7682, 7681])).
% 8.26/5.78 tff(7684,plain,
% 8.26/5.78 (~v98(constB46)),
% 8.26/5.78 inference(unit_resolution,[status(thm)],[7683, 7678])).
% 8.26/5.78 tff(7685,plain,
% 8.26/5.78 ((~((~v96(constB46)) <=> v98(constB46))) | v96(constB46) | v98(constB46)),
% 8.26/5.78 inference(tautology,[status(thm)],[])).
% 8.26/5.78 tff(7686,plain,
% 8.26/5.78 (v96(constB46)),
% 8.26/5.78 inference(unit_resolution,[status(thm)],[7685, 7684, 7674])).
% 8.26/5.78 tff(7687,plain,
% 8.26/5.78 (v1(constB46) <=> v1(constB46)),
% 8.26/5.78 inference(rewrite,[status(thm)],[])).
% 8.26/5.78 tff(7688,axiom,(v1(constB46)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_46')).
% 8.26/5.78 tff(7689,plain,
% 8.26/5.78 (v1(constB46)),
% 8.26/5.78 inference(modus_ponens,[status(thm)],[7688, 7687])).
% 8.26/5.78 tff(7690,plain,
% 8.26/5.78 ((~((~v1(constB46)) | (~v96(constB46)))) | (~v1(constB46)) | (~v96(constB46))),
% 8.26/5.78 inference(tautology,[status(thm)],[])).
% 8.26/5.78 tff(7691,plain,
% 8.26/5.78 ((~((~v1(constB46)) | (~v96(constB46)))) | (~v96(constB46))),
% 8.26/5.78 inference(unit_resolution,[status(thm)],[7690, 7689])).
% 8.26/5.78 tff(7692,plain,
% 8.26/5.78 (~((~v1(constB46)) | (~v96(constB46)))),
% 8.26/5.78 inference(unit_resolution,[status(thm)],[7691, 7686])).
% 8.26/5.78 tff(7693,plain,
% 8.26/5.78 ((~(v95(constB46) <=> (~((~v1(constB46)) | (~v96(constB46)))))) | v95(constB46) | ((~v1(constB46)) | (~v96(constB46)))),
% 8.26/5.78 inference(tautology,[status(thm)],[])).
% 8.26/5.78 tff(7694,plain,
% 8.26/5.78 (v95(constB46)),
% 8.26/5.78 inference(unit_resolution,[status(thm)],[7693, 7692, 7670])).
% 8.26/5.78 tff(7695,plain,
% 8.26/5.78 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB45, constB46)) | (v104(constB46) <=> v102(constB45)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB45, constB46)) | (v104(constB46) <=> v102(constB45)))),
% 8.26/5.78 inference(rewrite,[status(thm)],[])).
% 8.26/5.78 tff(7696,plain,
% 8.26/5.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB45, constB46)) | (v104(constB46) <=> v102(constB45)))),
% 8.26/5.78 inference(quant_inst,[status(thm)],[])).
% 8.26/5.78 tff(7697,plain,
% 8.26/5.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB45, constB46)) | (v104(constB46) <=> v102(constB45))),
% 8.26/5.78 inference(modus_ponens,[status(thm)],[7696, 7695])).
% 8.26/5.78 tff(7698,plain,
% 8.26/5.78 (v104(constB46) <=> v102(constB45)),
% 8.26/5.78 inference(unit_resolution,[status(thm)],[7697, 7659, 904])).
% 8.26/5.78 tff(7699,plain,
% 8.26/5.78 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB45) <=> (v105(constB45) | v106(constB45)))),
% 8.26/5.78 inference(quant_inst,[status(thm)],[])).
% 8.26/5.78 tff(7700,plain,
% 8.26/5.78 (v102(constB45) <=> (v105(constB45) | v106(constB45))),
% 8.26/5.78 inference(unit_resolution,[status(thm)],[7699, 915])).
% 8.26/5.78 tff(7701,plain,
% 8.26/5.78 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB45) <=> (~((~v107(constB45)) | (~v120(constB45)))))),
% 8.26/5.78 inference(quant_inst,[status(thm)],[])).
% 8.26/5.78 tff(7702,plain,
% 8.26/5.78 (v106(constB45) <=> (~((~v107(constB45)) | (~v120(constB45))))),
% 8.26/5.78 inference(unit_resolution,[status(thm)],[7701, 927])).
% 8.26/5.78 tff(7703,plain,
% 8.26/5.78 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB45) <=> (v108(constB45) | v119(constB45)))),
% 8.26/5.78 inference(quant_inst,[status(thm)],[])).
% 8.26/5.78 tff(7704,plain,
% 8.26/5.78 (v107(constB45) <=> (v108(constB45) | v119(constB45))),
% 8.26/5.78 inference(unit_resolution,[status(thm)],[7703, 936])).
% 8.26/5.78 tff(7705,plain,
% 8.26/5.78 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB45) <=> (v109(constB45) | v118(constB45)))),
% 8.26/5.78 inference(quant_inst,[status(thm)],[])).
% 8.26/5.78 tff(7706,plain,
% 8.26/5.78 (v108(constB45) <=> (v109(constB45) | v118(constB45))),
% 8.26/5.78 inference(unit_resolution,[status(thm)],[7705, 945])).
% 8.26/5.78 tff(7707,plain,
% 8.26/5.78 ((~![VarCurr: $i] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB45) <=> (v110(constB45) | v117(constB45)))),
% 8.26/5.78 inference(quant_inst,[status(thm)],[])).
% 8.26/5.78 tff(7708,plain,
% 8.26/5.78 (v109(constB45) <=> (v110(constB45) | v117(constB45))),
% 8.26/5.78 inference(unit_resolution,[status(thm)],[7707, 1056])).
% 8.26/5.78 tff(7709,plain,
% 8.26/5.78 (((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB45) <=> (~((~v84(constB45, bitIndex2)) | v84(constB45, bitIndex1) | v84(constB45, bitIndex0))))) <=> ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB45) <=> (~((~v84(constB45, bitIndex2)) | v84(constB45, bitIndex1) | v84(constB45, bitIndex0)))))),
% 8.26/5.78 inference(rewrite,[status(thm)],[])).
% 8.26/5.78 tff(7710,plain,
% 8.26/5.78 ((v117(constB45) <=> (~(v84(constB45, bitIndex0) | v84(constB45, bitIndex1) | (~v84(constB45, bitIndex2))))) <=> (v117(constB45) <=> (~((~v84(constB45, bitIndex2)) | v84(constB45, bitIndex1) | v84(constB45, bitIndex0))))),
% 8.26/5.78 inference(rewrite,[status(thm)],[])).
% 8.26/5.78 tff(7711,plain,
% 8.26/5.78 (((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB45) <=> (~(v84(constB45, bitIndex0) | v84(constB45, bitIndex1) | (~v84(constB45, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB45) <=> (~((~v84(constB45, bitIndex2)) | v84(constB45, bitIndex1) | v84(constB45, bitIndex0)))))),
% 8.26/5.78 inference(monotonicity,[status(thm)],[7710])).
% 8.26/5.78 tff(7712,plain,
% 8.26/5.78 (((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB45) <=> (~(v84(constB45, bitIndex0) | v84(constB45, bitIndex1) | (~v84(constB45, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB45) <=> (~((~v84(constB45, bitIndex2)) | v84(constB45, bitIndex1) | v84(constB45, bitIndex0)))))),
% 8.26/5.78 inference(transitivity,[status(thm)],[7711, 7709])).
% 8.26/5.78 tff(7713,plain,
% 8.26/5.78 ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB45) <=> (~(v84(constB45, bitIndex0) | v84(constB45, bitIndex1) | (~v84(constB45, bitIndex2)))))),
% 8.26/5.78 inference(quant_inst,[status(thm)],[])).
% 8.26/5.78 tff(7714,plain,
% 8.26/5.78 ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB45) <=> (~((~v84(constB45, bitIndex2)) | v84(constB45, bitIndex1) | v84(constB45, bitIndex0))))),
% 8.26/5.78 inference(modus_ponens,[status(thm)],[7713, 7712])).
% 8.26/5.78 tff(7715,plain,
% 8.26/5.78 (v117(constB45) <=> (~((~v84(constB45, bitIndex2)) | v84(constB45, bitIndex1) | v84(constB45, bitIndex0)))),
% 8.26/5.78 inference(unit_resolution,[status(thm)],[7714, 1071])).
% 8.26/5.78 tff(7716,plain,
% 8.26/5.78 (nextState(constB44, constB45) <=> nextState(constB44, constB45)),
% 8.26/5.78 inference(rewrite,[status(thm)],[])).
% 8.26/5.78 tff(7717,axiom,(nextState(constB44, constB45)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_44')).
% 8.26/5.78 tff(7718,plain,
% 8.26/5.78 (nextState(constB44, constB45)),
% 8.26/5.78 inference(modus_ponens,[status(thm)],[7717, 7716])).
% 8.26/5.78 tff(7719,plain,
% 8.26/5.78 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB44, constB45)) | (v94(constB45) <=> (~((~v104(constB45)) | (~v95(constB45))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB44, constB45)) | (v94(constB45) <=> (~((~v104(constB45)) | (~v95(constB45))))))),
% 8.26/5.78 inference(rewrite,[status(thm)],[])).
% 8.26/5.78 tff(7720,plain,
% 8.26/5.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB44, constB45)) | (v94(constB45) <=> (~((~v104(constB45)) | (~v95(constB45))))))),
% 8.26/5.78 inference(quant_inst,[status(thm)],[])).
% 8.26/5.78 tff(7721,plain,
% 8.26/5.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB44, constB45)) | (v94(constB45) <=> (~((~v104(constB45)) | (~v95(constB45)))))),
% 8.26/5.78 inference(modus_ponens,[status(thm)],[7720, 7719])).
% 8.26/5.78 tff(7722,plain,
% 8.26/5.78 (v94(constB45) <=> (~((~v104(constB45)) | (~v95(constB45))))),
% 8.26/5.78 inference(unit_resolution,[status(thm)],[7721, 7718, 775])).
% 8.26/5.78 tff(7723,plain,
% 8.26/5.78 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB44, constB45)) | (v95(constB45) <=> (~((~v1(constB45)) | (~v96(constB45))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB44, constB45)) | (v95(constB45) <=> (~((~v1(constB45)) | (~v96(constB45))))))),
% 8.26/5.78 inference(rewrite,[status(thm)],[])).
% 8.26/5.78 tff(7724,plain,
% 8.26/5.78 (((~nextState(constB44, constB45)) | (v95(constB45) <=> (~((~v96(constB45)) | (~v1(constB45)))))) <=> ((~nextState(constB44, constB45)) | (v95(constB45) <=> (~((~v1(constB45)) | (~v96(constB45))))))),
% 8.26/5.78 inference(rewrite,[status(thm)],[])).
% 8.26/5.78 tff(7725,plain,
% 8.26/5.78 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB44, constB45)) | (v95(constB45) <=> (~((~v96(constB45)) | (~v1(constB45))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB44, constB45)) | (v95(constB45) <=> (~((~v1(constB45)) | (~v96(constB45)))))))),
% 8.26/5.78 inference(monotonicity,[status(thm)],[7724])).
% 8.26/5.78 tff(7726,plain,
% 8.26/5.78 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB44, constB45)) | (v95(constB45) <=> (~((~v96(constB45)) | (~v1(constB45))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB44, constB45)) | (v95(constB45) <=> (~((~v1(constB45)) | (~v96(constB45))))))),
% 8.26/5.78 inference(transitivity,[status(thm)],[7725, 7723])).
% 8.26/5.78 tff(7727,plain,
% 8.26/5.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB44, constB45)) | (v95(constB45) <=> (~((~v96(constB45)) | (~v1(constB45))))))),
% 8.26/5.78 inference(quant_inst,[status(thm)],[])).
% 8.26/5.78 tff(7728,plain,
% 8.26/5.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB44, constB45)) | (v95(constB45) <=> (~((~v1(constB45)) | (~v96(constB45)))))),
% 8.26/5.78 inference(modus_ponens,[status(thm)],[7727, 7726])).
% 8.26/5.78 tff(7729,plain,
% 8.26/5.78 (v95(constB45) <=> (~((~v1(constB45)) | (~v96(constB45))))),
% 8.26/5.78 inference(unit_resolution,[status(thm)],[7728, 7718, 795])).
% 8.26/5.78 tff(7730,plain,
% 8.26/5.78 (((~v1(constB45)) | (~v96(constB45))) | v1(constB45)),
% 8.26/5.78 inference(tautology,[status(thm)],[])).
% 8.26/5.78 tff(7731,plain,
% 8.26/5.78 ((~v1(constB45)) | (~v96(constB45))),
% 8.26/5.78 inference(unit_resolution,[status(thm)],[7730, 7681])).
% 8.26/5.78 tff(7732,plain,
% 8.26/5.78 ((~(v95(constB45) <=> (~((~v1(constB45)) | (~v96(constB45)))))) | (~v95(constB45)) | (~((~v1(constB45)) | (~v96(constB45))))),
% 8.26/5.78 inference(tautology,[status(thm)],[])).
% 8.26/5.78 tff(7733,plain,
% 8.26/5.78 ((~(v95(constB45) <=> (~((~v1(constB45)) | (~v96(constB45)))))) | (~v95(constB45))),
% 8.26/5.78 inference(unit_resolution,[status(thm)],[7732, 7731])).
% 8.26/5.78 tff(7734,plain,
% 8.26/5.78 (~v95(constB45)),
% 8.26/5.78 inference(unit_resolution,[status(thm)],[7733, 7729])).
% 8.26/5.78 tff(7735,plain,
% 8.26/5.78 (((~v104(constB45)) | (~v95(constB45))) | v95(constB45)),
% 8.26/5.78 inference(tautology,[status(thm)],[])).
% 8.26/5.78 tff(7736,plain,
% 8.26/5.78 ((~v104(constB45)) | (~v95(constB45))),
% 8.26/5.78 inference(unit_resolution,[status(thm)],[7735, 7734])).
% 8.26/5.78 tff(7737,plain,
% 8.26/5.78 ((~(v94(constB45) <=> (~((~v104(constB45)) | (~v95(constB45)))))) | (~v94(constB45)) | (~((~v104(constB45)) | (~v95(constB45))))),
% 8.26/5.78 inference(tautology,[status(thm)],[])).
% 8.26/5.78 tff(7738,plain,
% 8.26/5.78 (~v94(constB45)),
% 8.26/5.78 inference(unit_resolution,[status(thm)],[7737, 7736, 7722])).
% 8.26/5.78 tff(7739,plain,
% 8.26/5.78 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB45) | (~nextState(constB44, constB45)) | ![B: $i] : ((~less_3(B)) | (v84(constB45, B) <=> v84(constB44, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB45) | (~nextState(constB44, constB45)) | ![B: $i] : ((~less_3(B)) | (v84(constB45, B) <=> v84(constB44, B))))),
% 8.26/5.78 inference(rewrite,[status(thm)],[])).
% 8.26/5.78 tff(7740,plain,
% 8.26/5.78 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB45) | (~nextState(constB44, constB45)) | ![B: $i] : ((~less_3(B)) | (v84(constB45, B) <=> v84(constB44, B))))),
% 8.26/5.78 inference(quant_inst,[status(thm)],[])).
% 8.26/5.78 tff(7741,plain,
% 8.26/5.78 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB45) | (~nextState(constB44, constB45)) | ![B: $i] : ((~less_3(B)) | (v84(constB45, B) <=> v84(constB44, B)))),
% 8.26/5.78 inference(modus_ponens,[status(thm)],[7740, 7739])).
% 8.26/5.78 tff(7742,plain,
% 8.26/5.78 (v94(constB45) | ![B: $i] : ((~less_3(B)) | (v84(constB45, B) <=> v84(constB44, B)))),
% 8.26/5.78 inference(unit_resolution,[status(thm)],[7741, 7718, 824])).
% 8.26/5.78 tff(7743,plain,
% 8.26/5.78 (![B: $i] : ((~less_3(B)) | (v84(constB45, B) <=> v84(constB44, B)))),
% 8.26/5.78 inference(unit_resolution,[status(thm)],[7742, 7738])).
% 8.26/5.78 tff(7744,plain,
% 8.26/5.78 (((~![B: $i] : ((~less_3(B)) | (v84(constB45, B) <=> v84(constB44, B)))) | ((~less_3(bitIndex2)) | (v84(constB45, bitIndex2) <=> v84(constB44, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB45, B) <=> v84(constB44, B)))) | (~less_3(bitIndex2)) | (v84(constB45, bitIndex2) <=> v84(constB44, bitIndex2)))),
% 8.26/5.78 inference(rewrite,[status(thm)],[])).
% 8.26/5.78 tff(7745,plain,
% 8.26/5.78 ((~![B: $i] : ((~less_3(B)) | (v84(constB45, B) <=> v84(constB44, B)))) | ((~less_3(bitIndex2)) | (v84(constB45, bitIndex2) <=> v84(constB44, bitIndex2)))),
% 8.26/5.78 inference(quant_inst,[status(thm)],[])).
% 8.26/5.78 tff(7746,plain,
% 8.26/5.78 ((~![B: $i] : ((~less_3(B)) | (v84(constB45, B) <=> v84(constB44, B)))) | (~less_3(bitIndex2)) | (v84(constB45, bitIndex2) <=> v84(constB44, bitIndex2))),
% 8.26/5.78 inference(modus_ponens,[status(thm)],[7745, 7744])).
% 8.26/5.78 tff(7747,plain,
% 8.26/5.78 (v84(constB45, bitIndex2) <=> v84(constB44, bitIndex2)),
% 8.26/5.78 inference(unit_resolution,[status(thm)],[7746, 832, 7743])).
% 8.26/5.78 tff(7748,plain,
% 8.26/5.78 (nextState(constB43, constB44) <=> nextState(constB43, constB44)),
% 8.26/5.78 inference(rewrite,[status(thm)],[])).
% 8.26/5.78 tff(7749,axiom,(nextState(constB43, constB44)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_43')).
% 8.26/5.78 tff(7750,plain,
% 8.26/5.78 (nextState(constB43, constB44)),
% 8.26/5.78 inference(modus_ponens,[status(thm)],[7749, 7748])).
% 8.26/5.78 tff(7751,plain,
% 8.26/5.78 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB43, constB44)) | (v94(constB44) <=> (~((~v104(constB44)) | (~v95(constB44))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB43, constB44)) | (v94(constB44) <=> (~((~v104(constB44)) | (~v95(constB44))))))),
% 8.26/5.78 inference(rewrite,[status(thm)],[])).
% 8.26/5.78 tff(7752,plain,
% 8.26/5.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB43, constB44)) | (v94(constB44) <=> (~((~v104(constB44)) | (~v95(constB44))))))),
% 8.26/5.78 inference(quant_inst,[status(thm)],[])).
% 8.26/5.78 tff(7753,plain,
% 8.26/5.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB43, constB44)) | (v94(constB44) <=> (~((~v104(constB44)) | (~v95(constB44)))))),
% 8.26/5.78 inference(modus_ponens,[status(thm)],[7752, 7751])).
% 8.26/5.78 tff(7754,plain,
% 8.26/5.78 (v94(constB44) <=> (~((~v104(constB44)) | (~v95(constB44))))),
% 8.26/5.78 inference(unit_resolution,[status(thm)],[7753, 7750, 775])).
% 8.26/5.78 tff(7755,plain,
% 8.26/5.78 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB43, constB44)) | (v95(constB44) <=> (~((~v1(constB44)) | (~v96(constB44))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB43, constB44)) | (v95(constB44) <=> (~((~v1(constB44)) | (~v96(constB44))))))),
% 8.26/5.78 inference(rewrite,[status(thm)],[])).
% 8.26/5.78 tff(7756,plain,
% 8.26/5.78 (((~nextState(constB43, constB44)) | (v95(constB44) <=> (~((~v96(constB44)) | (~v1(constB44)))))) <=> ((~nextState(constB43, constB44)) | (v95(constB44) <=> (~((~v1(constB44)) | (~v96(constB44))))))),
% 8.26/5.78 inference(rewrite,[status(thm)],[])).
% 8.26/5.78 tff(7757,plain,
% 8.26/5.78 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB43, constB44)) | (v95(constB44) <=> (~((~v96(constB44)) | (~v1(constB44))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB43, constB44)) | (v95(constB44) <=> (~((~v1(constB44)) | (~v96(constB44)))))))),
% 8.26/5.78 inference(monotonicity,[status(thm)],[7756])).
% 8.26/5.78 tff(7758,plain,
% 8.26/5.78 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB43, constB44)) | (v95(constB44) <=> (~((~v96(constB44)) | (~v1(constB44))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB43, constB44)) | (v95(constB44) <=> (~((~v1(constB44)) | (~v96(constB44))))))),
% 8.26/5.78 inference(transitivity,[status(thm)],[7757, 7755])).
% 8.26/5.78 tff(7759,plain,
% 8.26/5.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB43, constB44)) | (v95(constB44) <=> (~((~v96(constB44)) | (~v1(constB44))))))),
% 8.26/5.78 inference(quant_inst,[status(thm)],[])).
% 8.26/5.78 tff(7760,plain,
% 8.26/5.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB43, constB44)) | (v95(constB44) <=> (~((~v1(constB44)) | (~v96(constB44)))))),
% 8.26/5.78 inference(modus_ponens,[status(thm)],[7759, 7758])).
% 8.26/5.78 tff(7761,plain,
% 8.26/5.78 (v95(constB44) <=> (~((~v1(constB44)) | (~v96(constB44))))),
% 8.26/5.78 inference(unit_resolution,[status(thm)],[7760, 7750, 795])).
% 8.26/5.78 tff(7762,plain,
% 8.26/5.78 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB43, constB44)) | ((~v96(constB44)) <=> v98(constB44)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB43, constB44)) | ((~v96(constB44)) <=> v98(constB44)))),
% 8.26/5.78 inference(rewrite,[status(thm)],[])).
% 8.26/5.78 tff(7763,plain,
% 8.26/5.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB43, constB44)) | ((~v96(constB44)) <=> v98(constB44)))),
% 8.26/5.78 inference(quant_inst,[status(thm)],[])).
% 8.26/5.78 tff(7764,plain,
% 8.26/5.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB43, constB44)) | ((~v96(constB44)) <=> v98(constB44))),
% 8.26/5.78 inference(modus_ponens,[status(thm)],[7763, 7762])).
% 8.26/5.78 tff(7765,plain,
% 8.26/5.78 ((~v96(constB44)) <=> v98(constB44)),
% 8.26/5.78 inference(unit_resolution,[status(thm)],[7764, 7750, 860])).
% 8.26/5.78 tff(7766,plain,
% 8.26/5.78 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB43, constB44)) | (v98(constB44) <=> v1(constB43)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB43, constB44)) | (v98(constB44) <=> v1(constB43)))),
% 8.26/5.78 inference(rewrite,[status(thm)],[])).
% 8.26/5.78 tff(7767,plain,
% 8.26/5.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB43, constB44)) | (v98(constB44) <=> v1(constB43)))),
% 8.26/5.78 inference(quant_inst,[status(thm)],[])).
% 8.26/5.78 tff(7768,plain,
% 8.26/5.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB43, constB44)) | (v98(constB44) <=> v1(constB43))),
% 8.26/5.78 inference(modus_ponens,[status(thm)],[7767, 7766])).
% 8.26/5.78 tff(7769,plain,
% 8.26/5.78 (v98(constB44) <=> v1(constB43)),
% 8.26/5.78 inference(unit_resolution,[status(thm)],[7768, 7750, 874])).
% 8.26/5.78 tff(7770,plain,
% 8.26/5.78 ((~v1(constB43)) <=> (~v1(constB43))),
% 8.26/5.78 inference(rewrite,[status(thm)],[])).
% 8.26/5.78 tff(7771,axiom,(~v1(constB43)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_43')).
% 8.26/5.78 tff(7772,plain,
% 8.26/5.78 (~v1(constB43)),
% 8.26/5.78 inference(modus_ponens,[status(thm)],[7771, 7770])).
% 8.26/5.78 tff(7773,plain,
% 8.26/5.78 ((~(v98(constB44) <=> v1(constB43))) | (~v98(constB44)) | v1(constB43)),
% 8.26/5.78 inference(tautology,[status(thm)],[])).
% 8.26/5.78 tff(7774,plain,
% 8.26/5.78 ((~(v98(constB44) <=> v1(constB43))) | (~v98(constB44))),
% 8.26/5.78 inference(unit_resolution,[status(thm)],[7773, 7772])).
% 8.26/5.78 tff(7775,plain,
% 8.26/5.78 (~v98(constB44)),
% 8.26/5.78 inference(unit_resolution,[status(thm)],[7774, 7769])).
% 8.26/5.78 tff(7776,plain,
% 8.26/5.78 ((~((~v96(constB44)) <=> v98(constB44))) | v96(constB44) | v98(constB44)),
% 8.26/5.78 inference(tautology,[status(thm)],[])).
% 8.26/5.78 tff(7777,plain,
% 8.26/5.78 (v96(constB44)),
% 8.26/5.78 inference(unit_resolution,[status(thm)],[7776, 7775, 7765])).
% 8.26/5.78 tff(7778,plain,
% 8.26/5.78 (v1(constB44) <=> v1(constB44)),
% 8.26/5.78 inference(rewrite,[status(thm)],[])).
% 8.26/5.78 tff(7779,axiom,(v1(constB44)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_44')).
% 8.26/5.78 tff(7780,plain,
% 8.26/5.78 (v1(constB44)),
% 8.26/5.78 inference(modus_ponens,[status(thm)],[7779, 7778])).
% 8.26/5.78 tff(7781,plain,
% 8.26/5.78 ((~((~v1(constB44)) | (~v96(constB44)))) | (~v1(constB44)) | (~v96(constB44))),
% 8.26/5.78 inference(tautology,[status(thm)],[])).
% 8.26/5.78 tff(7782,plain,
% 8.26/5.78 ((~((~v1(constB44)) | (~v96(constB44)))) | (~v96(constB44))),
% 8.26/5.78 inference(unit_resolution,[status(thm)],[7781, 7780])).
% 8.26/5.78 tff(7783,plain,
% 8.26/5.78 (~((~v1(constB44)) | (~v96(constB44)))),
% 8.26/5.78 inference(unit_resolution,[status(thm)],[7782, 7777])).
% 8.26/5.78 tff(7784,plain,
% 8.26/5.78 ((~(v95(constB44) <=> (~((~v1(constB44)) | (~v96(constB44)))))) | v95(constB44) | ((~v1(constB44)) | (~v96(constB44)))),
% 8.26/5.78 inference(tautology,[status(thm)],[])).
% 8.26/5.78 tff(7785,plain,
% 8.26/5.78 (v95(constB44)),
% 8.26/5.78 inference(unit_resolution,[status(thm)],[7784, 7783, 7761])).
% 8.26/5.78 tff(7786,plain,
% 8.26/5.78 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB43, constB44)) | (v104(constB44) <=> v102(constB43)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB43, constB44)) | (v104(constB44) <=> v102(constB43)))),
% 8.26/5.78 inference(rewrite,[status(thm)],[])).
% 8.26/5.78 tff(7787,plain,
% 8.26/5.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB43, constB44)) | (v104(constB44) <=> v102(constB43)))),
% 8.26/5.78 inference(quant_inst,[status(thm)],[])).
% 8.26/5.78 tff(7788,plain,
% 8.26/5.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB43, constB44)) | (v104(constB44) <=> v102(constB43))),
% 8.26/5.78 inference(modus_ponens,[status(thm)],[7787, 7786])).
% 8.26/5.78 tff(7789,plain,
% 8.26/5.78 (v104(constB44) <=> v102(constB43)),
% 8.26/5.78 inference(unit_resolution,[status(thm)],[7788, 7750, 904])).
% 8.26/5.78 tff(7790,plain,
% 8.26/5.78 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB43) <=> (v105(constB43) | v106(constB43)))),
% 8.26/5.78 inference(quant_inst,[status(thm)],[])).
% 8.26/5.78 tff(7791,plain,
% 8.26/5.78 (v102(constB43) <=> (v105(constB43) | v106(constB43))),
% 8.26/5.78 inference(unit_resolution,[status(thm)],[7790, 915])).
% 8.26/5.78 tff(7792,plain,
% 8.26/5.78 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB43) <=> (~((~v107(constB43)) | (~v120(constB43)))))),
% 8.26/5.78 inference(quant_inst,[status(thm)],[])).
% 8.26/5.78 tff(7793,plain,
% 8.26/5.78 (v106(constB43) <=> (~((~v107(constB43)) | (~v120(constB43))))),
% 8.26/5.78 inference(unit_resolution,[status(thm)],[7792, 927])).
% 8.26/5.78 tff(7794,plain,
% 8.26/5.78 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB43) <=> (v108(constB43) | v119(constB43)))),
% 8.26/5.78 inference(quant_inst,[status(thm)],[])).
% 8.26/5.78 tff(7795,plain,
% 8.26/5.78 (v107(constB43) <=> (v108(constB43) | v119(constB43))),
% 8.26/5.78 inference(unit_resolution,[status(thm)],[7794, 936])).
% 8.26/5.78 tff(7796,plain,
% 8.26/5.78 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB43) <=> (v109(constB43) | v118(constB43)))),
% 8.26/5.78 inference(quant_inst,[status(thm)],[])).
% 8.26/5.78 tff(7797,plain,
% 8.26/5.78 (v108(constB43) <=> (v109(constB43) | v118(constB43))),
% 8.26/5.78 inference(unit_resolution,[status(thm)],[7796, 945])).
% 8.26/5.78 tff(7798,plain,
% 8.26/5.78 ((~![VarCurr: $i] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB43) <=> (v110(constB43) | v117(constB43)))),
% 8.26/5.78 inference(quant_inst,[status(thm)],[])).
% 8.26/5.78 tff(7799,plain,
% 8.26/5.78 (v109(constB43) <=> (v110(constB43) | v117(constB43))),
% 8.26/5.78 inference(unit_resolution,[status(thm)],[7798, 1056])).
% 8.26/5.78 tff(7800,plain,
% 8.26/5.78 ((~![VarCurr: $i] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB43) <=> (v111(constB43) | v116(constB43)))),
% 8.26/5.78 inference(quant_inst,[status(thm)],[])).
% 8.26/5.78 tff(7801,plain,
% 8.26/5.78 (v110(constB43) <=> (v111(constB43) | v116(constB43))),
% 8.26/5.78 inference(unit_resolution,[status(thm)],[7800, 1169])).
% 8.26/5.78 tff(7802,plain,
% 8.26/5.78 ((~![VarCurr: $i] : (v116(VarCurr) <=> (~(v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex0)))))) | (v116(constB43) <=> (~(v84(constB43, bitIndex2) | (~v84(constB43, bitIndex1)) | (~v84(constB43, bitIndex0)))))),
% 8.26/5.78 inference(quant_inst,[status(thm)],[])).
% 8.26/5.78 tff(7803,plain,
% 8.26/5.78 (v116(constB43) <=> (~(v84(constB43, bitIndex2) | (~v84(constB43, bitIndex1)) | (~v84(constB43, bitIndex0))))),
% 8.26/5.78 inference(unit_resolution,[status(thm)],[7802, 1184])).
% 8.26/5.78 tff(7804,plain,
% 8.26/5.78 (nextState(constB42, constB43) <=> nextState(constB42, constB43)),
% 8.26/5.78 inference(rewrite,[status(thm)],[])).
% 8.26/5.78 tff(7805,axiom,(nextState(constB42, constB43)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_42')).
% 8.26/5.78 tff(7806,plain,
% 8.26/5.78 (nextState(constB42, constB43)),
% 8.26/5.78 inference(modus_ponens,[status(thm)],[7805, 7804])).
% 8.26/5.78 tff(7807,plain,
% 8.26/5.78 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB42, constB43)) | (v94(constB43) <=> (~((~v104(constB43)) | (~v95(constB43))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB42, constB43)) | (v94(constB43) <=> (~((~v104(constB43)) | (~v95(constB43))))))),
% 8.26/5.78 inference(rewrite,[status(thm)],[])).
% 8.26/5.78 tff(7808,plain,
% 8.26/5.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB42, constB43)) | (v94(constB43) <=> (~((~v104(constB43)) | (~v95(constB43))))))),
% 8.26/5.78 inference(quant_inst,[status(thm)],[])).
% 8.26/5.78 tff(7809,plain,
% 8.26/5.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB42, constB43)) | (v94(constB43) <=> (~((~v104(constB43)) | (~v95(constB43)))))),
% 8.26/5.78 inference(modus_ponens,[status(thm)],[7808, 7807])).
% 8.26/5.78 tff(7810,plain,
% 8.26/5.78 (v94(constB43) <=> (~((~v104(constB43)) | (~v95(constB43))))),
% 8.26/5.78 inference(unit_resolution,[status(thm)],[7809, 7806, 775])).
% 8.26/5.78 tff(7811,plain,
% 8.26/5.78 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB42, constB43)) | (v95(constB43) <=> (~((~v1(constB43)) | (~v96(constB43))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB42, constB43)) | (v95(constB43) <=> (~((~v1(constB43)) | (~v96(constB43))))))),
% 8.26/5.78 inference(rewrite,[status(thm)],[])).
% 8.26/5.78 tff(7812,plain,
% 8.26/5.78 (((~nextState(constB42, constB43)) | (v95(constB43) <=> (~((~v96(constB43)) | (~v1(constB43)))))) <=> ((~nextState(constB42, constB43)) | (v95(constB43) <=> (~((~v1(constB43)) | (~v96(constB43))))))),
% 8.26/5.78 inference(rewrite,[status(thm)],[])).
% 8.26/5.78 tff(7813,plain,
% 8.26/5.78 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB42, constB43)) | (v95(constB43) <=> (~((~v96(constB43)) | (~v1(constB43))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB42, constB43)) | (v95(constB43) <=> (~((~v1(constB43)) | (~v96(constB43)))))))),
% 8.26/5.78 inference(monotonicity,[status(thm)],[7812])).
% 8.26/5.78 tff(7814,plain,
% 8.26/5.78 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB42, constB43)) | (v95(constB43) <=> (~((~v96(constB43)) | (~v1(constB43))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB42, constB43)) | (v95(constB43) <=> (~((~v1(constB43)) | (~v96(constB43))))))),
% 8.26/5.78 inference(transitivity,[status(thm)],[7813, 7811])).
% 8.26/5.78 tff(7815,plain,
% 8.26/5.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB42, constB43)) | (v95(constB43) <=> (~((~v96(constB43)) | (~v1(constB43))))))),
% 8.26/5.78 inference(quant_inst,[status(thm)],[])).
% 8.26/5.78 tff(7816,plain,
% 8.26/5.78 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB42, constB43)) | (v95(constB43) <=> (~((~v1(constB43)) | (~v96(constB43)))))),
% 8.26/5.78 inference(modus_ponens,[status(thm)],[7815, 7814])).
% 8.26/5.78 tff(7817,plain,
% 8.26/5.78 (v95(constB43) <=> (~((~v1(constB43)) | (~v96(constB43))))),
% 8.26/5.78 inference(unit_resolution,[status(thm)],[7816, 7806, 795])).
% 8.26/5.78 tff(7818,plain,
% 8.26/5.78 (((~v1(constB43)) | (~v96(constB43))) | v1(constB43)),
% 8.26/5.78 inference(tautology,[status(thm)],[])).
% 8.26/5.78 tff(7819,plain,
% 8.26/5.78 ((~v1(constB43)) | (~v96(constB43))),
% 8.26/5.78 inference(unit_resolution,[status(thm)],[7818, 7772])).
% 8.26/5.78 tff(7820,plain,
% 8.26/5.78 ((~(v95(constB43) <=> (~((~v1(constB43)) | (~v96(constB43)))))) | (~v95(constB43)) | (~((~v1(constB43)) | (~v96(constB43))))),
% 8.26/5.78 inference(tautology,[status(thm)],[])).
% 8.26/5.78 tff(7821,plain,
% 8.26/5.78 ((~(v95(constB43) <=> (~((~v1(constB43)) | (~v96(constB43)))))) | (~v95(constB43))),
% 8.26/5.78 inference(unit_resolution,[status(thm)],[7820, 7819])).
% 8.26/5.78 tff(7822,plain,
% 8.26/5.78 (~v95(constB43)),
% 8.26/5.78 inference(unit_resolution,[status(thm)],[7821, 7817])).
% 8.26/5.78 tff(7823,plain,
% 8.26/5.78 (((~v104(constB43)) | (~v95(constB43))) | v95(constB43)),
% 8.26/5.78 inference(tautology,[status(thm)],[])).
% 8.26/5.78 tff(7824,plain,
% 8.26/5.78 ((~v104(constB43)) | (~v95(constB43))),
% 8.26/5.78 inference(unit_resolution,[status(thm)],[7823, 7822])).
% 8.26/5.78 tff(7825,plain,
% 8.26/5.78 ((~(v94(constB43) <=> (~((~v104(constB43)) | (~v95(constB43)))))) | (~v94(constB43)) | (~((~v104(constB43)) | (~v95(constB43))))),
% 8.26/5.78 inference(tautology,[status(thm)],[])).
% 8.26/5.78 tff(7826,plain,
% 8.26/5.78 (~v94(constB43)),
% 8.26/5.78 inference(unit_resolution,[status(thm)],[7825, 7824, 7810])).
% 8.26/5.78 tff(7827,plain,
% 8.26/5.78 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB43) | (~nextState(constB42, constB43)) | ![B: $i] : ((~less_3(B)) | (v84(constB43, B) <=> v84(constB42, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB43) | (~nextState(constB42, constB43)) | ![B: $i] : ((~less_3(B)) | (v84(constB43, B) <=> v84(constB42, B))))),
% 8.26/5.78 inference(rewrite,[status(thm)],[])).
% 8.26/5.78 tff(7828,plain,
% 8.26/5.78 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB43) | (~nextState(constB42, constB43)) | ![B: $i] : ((~less_3(B)) | (v84(constB43, B) <=> v84(constB42, B))))),
% 8.26/5.78 inference(quant_inst,[status(thm)],[])).
% 8.26/5.78 tff(7829,plain,
% 8.26/5.78 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB43) | (~nextState(constB42, constB43)) | ![B: $i] : ((~less_3(B)) | (v84(constB43, B) <=> v84(constB42, B)))),
% 8.26/5.78 inference(modus_ponens,[status(thm)],[7828, 7827])).
% 8.26/5.78 tff(7830,plain,
% 8.26/5.78 (v94(constB43) | ![B: $i] : ((~less_3(B)) | (v84(constB43, B) <=> v84(constB42, B)))),
% 8.26/5.78 inference(unit_resolution,[status(thm)],[7829, 7806, 824])).
% 8.26/5.78 tff(7831,plain,
% 8.26/5.78 (![B: $i] : ((~less_3(B)) | (v84(constB43, B) <=> v84(constB42, B)))),
% 8.26/5.78 inference(unit_resolution,[status(thm)],[7830, 7826])).
% 8.26/5.78 tff(7832,plain,
% 8.26/5.79 (((~![B: $i] : ((~less_3(B)) | (v84(constB43, B) <=> v84(constB42, B)))) | ((~less_3(bitIndex2)) | (v84(constB43, bitIndex2) <=> v84(constB42, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB43, B) <=> v84(constB42, B)))) | (~less_3(bitIndex2)) | (v84(constB43, bitIndex2) <=> v84(constB42, bitIndex2)))),
% 8.26/5.79 inference(rewrite,[status(thm)],[])).
% 8.26/5.79 tff(7833,plain,
% 8.26/5.79 ((~![B: $i] : ((~less_3(B)) | (v84(constB43, B) <=> v84(constB42, B)))) | ((~less_3(bitIndex2)) | (v84(constB43, bitIndex2) <=> v84(constB42, bitIndex2)))),
% 8.26/5.79 inference(quant_inst,[status(thm)],[])).
% 8.26/5.79 tff(7834,plain,
% 8.26/5.79 ((~![B: $i] : ((~less_3(B)) | (v84(constB43, B) <=> v84(constB42, B)))) | (~less_3(bitIndex2)) | (v84(constB43, bitIndex2) <=> v84(constB42, bitIndex2))),
% 8.26/5.79 inference(modus_ponens,[status(thm)],[7833, 7832])).
% 8.26/5.79 tff(7835,plain,
% 8.26/5.79 (v84(constB43, bitIndex2) <=> v84(constB42, bitIndex2)),
% 8.26/5.79 inference(unit_resolution,[status(thm)],[7834, 832, 7831])).
% 8.26/5.79 tff(7836,plain,
% 8.26/5.79 (nextState(constB41, constB42) <=> nextState(constB41, constB42)),
% 8.26/5.79 inference(rewrite,[status(thm)],[])).
% 8.26/5.79 tff(7837,axiom,(nextState(constB41, constB42)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_41')).
% 8.26/5.79 tff(7838,plain,
% 8.26/5.79 (nextState(constB41, constB42)),
% 8.26/5.79 inference(modus_ponens,[status(thm)],[7837, 7836])).
% 8.26/5.79 tff(7839,plain,
% 8.26/5.79 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB41, constB42)) | (v94(constB42) <=> (~((~v104(constB42)) | (~v95(constB42))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB41, constB42)) | (v94(constB42) <=> (~((~v104(constB42)) | (~v95(constB42))))))),
% 8.26/5.79 inference(rewrite,[status(thm)],[])).
% 8.26/5.79 tff(7840,plain,
% 8.26/5.79 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB41, constB42)) | (v94(constB42) <=> (~((~v104(constB42)) | (~v95(constB42))))))),
% 8.26/5.79 inference(quant_inst,[status(thm)],[])).
% 8.26/5.79 tff(7841,plain,
% 8.26/5.79 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB41, constB42)) | (v94(constB42) <=> (~((~v104(constB42)) | (~v95(constB42)))))),
% 8.26/5.79 inference(modus_ponens,[status(thm)],[7840, 7839])).
% 8.26/5.79 tff(7842,plain,
% 8.26/5.79 (v94(constB42) <=> (~((~v104(constB42)) | (~v95(constB42))))),
% 8.26/5.79 inference(unit_resolution,[status(thm)],[7841, 7838, 775])).
% 8.26/5.79 tff(7843,plain,
% 8.26/5.79 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB41, constB42)) | (v95(constB42) <=> (~((~v1(constB42)) | (~v96(constB42))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB41, constB42)) | (v95(constB42) <=> (~((~v1(constB42)) | (~v96(constB42))))))),
% 8.26/5.79 inference(rewrite,[status(thm)],[])).
% 8.26/5.79 tff(7844,plain,
% 8.26/5.79 (((~nextState(constB41, constB42)) | (v95(constB42) <=> (~((~v96(constB42)) | (~v1(constB42)))))) <=> ((~nextState(constB41, constB42)) | (v95(constB42) <=> (~((~v1(constB42)) | (~v96(constB42))))))),
% 8.26/5.79 inference(rewrite,[status(thm)],[])).
% 8.26/5.79 tff(7845,plain,
% 8.26/5.79 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB41, constB42)) | (v95(constB42) <=> (~((~v96(constB42)) | (~v1(constB42))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB41, constB42)) | (v95(constB42) <=> (~((~v1(constB42)) | (~v96(constB42)))))))),
% 8.26/5.79 inference(monotonicity,[status(thm)],[7844])).
% 8.26/5.79 tff(7846,plain,
% 8.26/5.79 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB41, constB42)) | (v95(constB42) <=> (~((~v96(constB42)) | (~v1(constB42))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB41, constB42)) | (v95(constB42) <=> (~((~v1(constB42)) | (~v96(constB42))))))),
% 8.26/5.79 inference(transitivity,[status(thm)],[7845, 7843])).
% 8.26/5.79 tff(7847,plain,
% 8.26/5.79 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB41, constB42)) | (v95(constB42) <=> (~((~v96(constB42)) | (~v1(constB42))))))),
% 8.26/5.79 inference(quant_inst,[status(thm)],[])).
% 8.26/5.79 tff(7848,plain,
% 8.26/5.79 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB41, constB42)) | (v95(constB42) <=> (~((~v1(constB42)) | (~v96(constB42)))))),
% 8.26/5.79 inference(modus_ponens,[status(thm)],[7847, 7846])).
% 8.26/5.79 tff(7849,plain,
% 8.26/5.79 (v95(constB42) <=> (~((~v1(constB42)) | (~v96(constB42))))),
% 8.26/5.79 inference(unit_resolution,[status(thm)],[7848, 7838, 795])).
% 8.26/5.79 tff(7850,plain,
% 8.26/5.79 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB41, constB42)) | ((~v96(constB42)) <=> v98(constB42)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB41, constB42)) | ((~v96(constB42)) <=> v98(constB42)))),
% 8.26/5.79 inference(rewrite,[status(thm)],[])).
% 8.26/5.79 tff(7851,plain,
% 8.26/5.79 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB41, constB42)) | ((~v96(constB42)) <=> v98(constB42)))),
% 8.26/5.79 inference(quant_inst,[status(thm)],[])).
% 8.26/5.79 tff(7852,plain,
% 8.26/5.79 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB41, constB42)) | ((~v96(constB42)) <=> v98(constB42))),
% 8.26/5.79 inference(modus_ponens,[status(thm)],[7851, 7850])).
% 8.26/5.79 tff(7853,plain,
% 8.26/5.79 ((~v96(constB42)) <=> v98(constB42)),
% 8.26/5.79 inference(unit_resolution,[status(thm)],[7852, 7838, 860])).
% 8.26/5.79 tff(7854,plain,
% 8.26/5.79 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB41, constB42)) | (v98(constB42) <=> v1(constB41)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB41, constB42)) | (v98(constB42) <=> v1(constB41)))),
% 8.26/5.79 inference(rewrite,[status(thm)],[])).
% 8.26/5.79 tff(7855,plain,
% 8.26/5.79 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB41, constB42)) | (v98(constB42) <=> v1(constB41)))),
% 8.26/5.79 inference(quant_inst,[status(thm)],[])).
% 8.26/5.79 tff(7856,plain,
% 8.26/5.79 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB41, constB42)) | (v98(constB42) <=> v1(constB41))),
% 8.26/5.79 inference(modus_ponens,[status(thm)],[7855, 7854])).
% 8.26/5.79 tff(7857,plain,
% 8.26/5.79 (v98(constB42) <=> v1(constB41)),
% 8.26/5.79 inference(unit_resolution,[status(thm)],[7856, 7838, 874])).
% 8.26/5.79 tff(7858,plain,
% 8.26/5.79 ((~v1(constB41)) <=> (~v1(constB41))),
% 8.26/5.79 inference(rewrite,[status(thm)],[])).
% 8.26/5.79 tff(7859,axiom,(~v1(constB41)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_41')).
% 8.26/5.79 tff(7860,plain,
% 8.26/5.79 (~v1(constB41)),
% 8.26/5.79 inference(modus_ponens,[status(thm)],[7859, 7858])).
% 8.26/5.79 tff(7861,plain,
% 8.26/5.79 ((~(v98(constB42) <=> v1(constB41))) | (~v98(constB42)) | v1(constB41)),
% 8.26/5.79 inference(tautology,[status(thm)],[])).
% 8.26/5.79 tff(7862,plain,
% 8.26/5.79 ((~(v98(constB42) <=> v1(constB41))) | (~v98(constB42))),
% 8.26/5.79 inference(unit_resolution,[status(thm)],[7861, 7860])).
% 8.26/5.79 tff(7863,plain,
% 8.26/5.79 (~v98(constB42)),
% 8.26/5.79 inference(unit_resolution,[status(thm)],[7862, 7857])).
% 8.26/5.79 tff(7864,plain,
% 8.26/5.79 ((~((~v96(constB42)) <=> v98(constB42))) | v96(constB42) | v98(constB42)),
% 8.26/5.79 inference(tautology,[status(thm)],[])).
% 8.26/5.79 tff(7865,plain,
% 8.26/5.79 (v96(constB42)),
% 8.26/5.79 inference(unit_resolution,[status(thm)],[7864, 7863, 7853])).
% 8.26/5.79 tff(7866,plain,
% 8.26/5.79 (v1(constB42) <=> v1(constB42)),
% 8.26/5.79 inference(rewrite,[status(thm)],[])).
% 8.26/5.79 tff(7867,axiom,(v1(constB42)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_42')).
% 8.26/5.79 tff(7868,plain,
% 8.26/5.79 (v1(constB42)),
% 8.26/5.79 inference(modus_ponens,[status(thm)],[7867, 7866])).
% 8.26/5.79 tff(7869,plain,
% 8.26/5.79 ((~((~v1(constB42)) | (~v96(constB42)))) | (~v1(constB42)) | (~v96(constB42))),
% 8.26/5.79 inference(tautology,[status(thm)],[])).
% 8.26/5.79 tff(7870,plain,
% 8.26/5.79 ((~((~v1(constB42)) | (~v96(constB42)))) | (~v96(constB42))),
% 8.26/5.79 inference(unit_resolution,[status(thm)],[7869, 7868])).
% 8.26/5.79 tff(7871,plain,
% 8.26/5.79 (~((~v1(constB42)) | (~v96(constB42)))),
% 8.26/5.79 inference(unit_resolution,[status(thm)],[7870, 7865])).
% 8.26/5.79 tff(7872,plain,
% 8.26/5.79 ((~(v95(constB42) <=> (~((~v1(constB42)) | (~v96(constB42)))))) | v95(constB42) | ((~v1(constB42)) | (~v96(constB42)))),
% 8.26/5.79 inference(tautology,[status(thm)],[])).
% 8.26/5.79 tff(7873,plain,
% 8.26/5.79 (v95(constB42)),
% 8.26/5.79 inference(unit_resolution,[status(thm)],[7872, 7871, 7849])).
% 8.26/5.79 tff(7874,plain,
% 8.26/5.79 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB41, constB42)) | (v104(constB42) <=> v102(constB41)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB41, constB42)) | (v104(constB42) <=> v102(constB41)))),
% 8.26/5.79 inference(rewrite,[status(thm)],[])).
% 8.26/5.79 tff(7875,plain,
% 8.26/5.79 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB41, constB42)) | (v104(constB42) <=> v102(constB41)))),
% 8.26/5.79 inference(quant_inst,[status(thm)],[])).
% 8.26/5.79 tff(7876,plain,
% 8.26/5.79 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB41, constB42)) | (v104(constB42) <=> v102(constB41))),
% 8.26/5.79 inference(modus_ponens,[status(thm)],[7875, 7874])).
% 8.26/5.79 tff(7877,plain,
% 8.26/5.79 (v104(constB42) <=> v102(constB41)),
% 8.26/5.79 inference(unit_resolution,[status(thm)],[7876, 7838, 904])).
% 8.26/5.79 tff(7878,plain,
% 8.26/5.79 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB41) <=> (v105(constB41) | v106(constB41)))),
% 8.26/5.79 inference(quant_inst,[status(thm)],[])).
% 8.26/5.79 tff(7879,plain,
% 8.26/5.79 (v102(constB41) <=> (v105(constB41) | v106(constB41))),
% 8.26/5.79 inference(unit_resolution,[status(thm)],[7878, 915])).
% 8.26/5.79 tff(7880,plain,
% 8.26/5.79 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB41) <=> (~((~v107(constB41)) | (~v120(constB41)))))),
% 8.26/5.79 inference(quant_inst,[status(thm)],[])).
% 8.26/5.79 tff(7881,plain,
% 8.26/5.79 (v106(constB41) <=> (~((~v107(constB41)) | (~v120(constB41))))),
% 8.26/5.79 inference(unit_resolution,[status(thm)],[7880, 927])).
% 8.26/5.79 tff(7882,plain,
% 8.26/5.79 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB41) <=> (v108(constB41) | v119(constB41)))),
% 8.26/5.79 inference(quant_inst,[status(thm)],[])).
% 8.26/5.79 tff(7883,plain,
% 8.26/5.79 (v107(constB41) <=> (v108(constB41) | v119(constB41))),
% 8.26/5.79 inference(unit_resolution,[status(thm)],[7882, 936])).
% 8.26/5.79 tff(7884,plain,
% 8.26/5.79 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB41) <=> (v109(constB41) | v118(constB41)))),
% 8.26/5.79 inference(quant_inst,[status(thm)],[])).
% 8.26/5.79 tff(7885,plain,
% 8.26/5.79 (v108(constB41) <=> (v109(constB41) | v118(constB41))),
% 8.26/5.79 inference(unit_resolution,[status(thm)],[7884, 945])).
% 8.26/5.79 tff(7886,plain,
% 8.26/5.79 ((~![VarCurr: $i] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB41) <=> (v110(constB41) | v117(constB41)))),
% 8.26/5.79 inference(quant_inst,[status(thm)],[])).
% 8.26/5.79 tff(7887,plain,
% 8.26/5.79 (v109(constB41) <=> (v110(constB41) | v117(constB41))),
% 8.26/5.79 inference(unit_resolution,[status(thm)],[7886, 1056])).
% 8.26/5.79 tff(7888,plain,
% 8.26/5.79 ((~![VarCurr: $i] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB41) <=> (v111(constB41) | v116(constB41)))),
% 8.26/5.79 inference(quant_inst,[status(thm)],[])).
% 8.26/5.79 tff(7889,plain,
% 8.26/5.79 (v110(constB41) <=> (v111(constB41) | v116(constB41))),
% 8.26/5.79 inference(unit_resolution,[status(thm)],[7888, 1169])).
% 8.26/5.79 tff(7890,plain,
% 8.26/5.79 ((~![VarCurr: $i] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB41) <=> (v112(constB41) | v115(constB41)))),
% 8.26/5.79 inference(quant_inst,[status(thm)],[])).
% 8.26/5.79 tff(7891,plain,
% 8.26/5.79 (v111(constB41) <=> (v112(constB41) | v115(constB41))),
% 8.26/5.79 inference(unit_resolution,[status(thm)],[7890, 1279])).
% 8.26/5.79 tff(7892,plain,
% 8.26/5.79 (((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB41) <=> (~(v84(constB41, bitIndex2) | (~v84(constB41, bitIndex1)) | v84(constB41, bitIndex0))))) <=> ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB41) <=> (~(v84(constB41, bitIndex2) | (~v84(constB41, bitIndex1)) | v84(constB41, bitIndex0)))))),
% 8.26/5.79 inference(rewrite,[status(thm)],[])).
% 8.26/5.79 tff(7893,plain,
% 8.26/5.79 ((v115(constB41) <=> (~(v84(constB41, bitIndex0) | v84(constB41, bitIndex2) | (~v84(constB41, bitIndex1))))) <=> (v115(constB41) <=> (~(v84(constB41, bitIndex2) | (~v84(constB41, bitIndex1)) | v84(constB41, bitIndex0))))),
% 8.26/5.79 inference(rewrite,[status(thm)],[])).
% 8.26/5.79 tff(7894,plain,
% 8.26/5.79 (((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB41) <=> (~(v84(constB41, bitIndex0) | v84(constB41, bitIndex2) | (~v84(constB41, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB41) <=> (~(v84(constB41, bitIndex2) | (~v84(constB41, bitIndex1)) | v84(constB41, bitIndex0)))))),
% 8.26/5.79 inference(monotonicity,[status(thm)],[7893])).
% 8.26/5.79 tff(7895,plain,
% 8.26/5.79 (((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB41) <=> (~(v84(constB41, bitIndex0) | v84(constB41, bitIndex2) | (~v84(constB41, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB41) <=> (~(v84(constB41, bitIndex2) | (~v84(constB41, bitIndex1)) | v84(constB41, bitIndex0)))))),
% 8.26/5.79 inference(transitivity,[status(thm)],[7894, 7892])).
% 8.26/5.79 tff(7896,plain,
% 8.26/5.79 ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB41) <=> (~(v84(constB41, bitIndex0) | v84(constB41, bitIndex2) | (~v84(constB41, bitIndex1)))))),
% 8.26/5.79 inference(quant_inst,[status(thm)],[])).
% 8.26/5.79 tff(7897,plain,
% 8.26/5.79 ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB41) <=> (~(v84(constB41, bitIndex2) | (~v84(constB41, bitIndex1)) | v84(constB41, bitIndex0))))),
% 8.26/5.79 inference(modus_ponens,[status(thm)],[7896, 7895])).
% 8.26/5.79 tff(7898,plain,
% 8.26/5.79 (v115(constB41) <=> (~(v84(constB41, bitIndex2) | (~v84(constB41, bitIndex1)) | v84(constB41, bitIndex0)))),
% 8.26/5.79 inference(unit_resolution,[status(thm)],[7897, 1294])).
% 8.26/5.79 tff(7899,plain,
% 8.26/5.79 (nextState(constB40, constB41) <=> nextState(constB40, constB41)),
% 8.26/5.79 inference(rewrite,[status(thm)],[])).
% 8.26/5.79 tff(7900,axiom,(nextState(constB40, constB41)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_40')).
% 8.26/5.79 tff(7901,plain,
% 8.26/5.79 (nextState(constB40, constB41)),
% 8.26/5.79 inference(modus_ponens,[status(thm)],[7900, 7899])).
% 8.26/5.79 tff(7902,plain,
% 8.26/5.79 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB40, constB41)) | (v94(constB41) <=> (~((~v104(constB41)) | (~v95(constB41))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB40, constB41)) | (v94(constB41) <=> (~((~v104(constB41)) | (~v95(constB41))))))),
% 8.26/5.79 inference(rewrite,[status(thm)],[])).
% 8.26/5.79 tff(7903,plain,
% 8.26/5.79 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB40, constB41)) | (v94(constB41) <=> (~((~v104(constB41)) | (~v95(constB41))))))),
% 8.26/5.79 inference(quant_inst,[status(thm)],[])).
% 8.26/5.79 tff(7904,plain,
% 8.26/5.79 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB40, constB41)) | (v94(constB41) <=> (~((~v104(constB41)) | (~v95(constB41)))))),
% 8.26/5.79 inference(modus_ponens,[status(thm)],[7903, 7902])).
% 8.26/5.79 tff(7905,plain,
% 8.26/5.79 (v94(constB41) <=> (~((~v104(constB41)) | (~v95(constB41))))),
% 8.26/5.79 inference(unit_resolution,[status(thm)],[7904, 7901, 775])).
% 8.26/5.79 tff(7906,plain,
% 8.26/5.79 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB40, constB41)) | (v95(constB41) <=> (~((~v1(constB41)) | (~v96(constB41))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB40, constB41)) | (v95(constB41) <=> (~((~v1(constB41)) | (~v96(constB41))))))),
% 8.26/5.79 inference(rewrite,[status(thm)],[])).
% 8.26/5.79 tff(7907,plain,
% 8.26/5.79 (((~nextState(constB40, constB41)) | (v95(constB41) <=> (~((~v96(constB41)) | (~v1(constB41)))))) <=> ((~nextState(constB40, constB41)) | (v95(constB41) <=> (~((~v1(constB41)) | (~v96(constB41))))))),
% 8.26/5.79 inference(rewrite,[status(thm)],[])).
% 8.26/5.79 tff(7908,plain,
% 8.26/5.79 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB40, constB41)) | (v95(constB41) <=> (~((~v96(constB41)) | (~v1(constB41))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB40, constB41)) | (v95(constB41) <=> (~((~v1(constB41)) | (~v96(constB41)))))))),
% 8.26/5.79 inference(monotonicity,[status(thm)],[7907])).
% 8.26/5.79 tff(7909,plain,
% 8.26/5.79 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB40, constB41)) | (v95(constB41) <=> (~((~v96(constB41)) | (~v1(constB41))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB40, constB41)) | (v95(constB41) <=> (~((~v1(constB41)) | (~v96(constB41))))))),
% 8.26/5.79 inference(transitivity,[status(thm)],[7908, 7906])).
% 8.26/5.79 tff(7910,plain,
% 8.26/5.79 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB40, constB41)) | (v95(constB41) <=> (~((~v96(constB41)) | (~v1(constB41))))))),
% 8.26/5.79 inference(quant_inst,[status(thm)],[])).
% 8.26/5.79 tff(7911,plain,
% 8.26/5.79 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB40, constB41)) | (v95(constB41) <=> (~((~v1(constB41)) | (~v96(constB41)))))),
% 8.26/5.79 inference(modus_ponens,[status(thm)],[7910, 7909])).
% 8.26/5.79 tff(7912,plain,
% 8.26/5.79 (v95(constB41) <=> (~((~v1(constB41)) | (~v96(constB41))))),
% 8.26/5.79 inference(unit_resolution,[status(thm)],[7911, 7901, 795])).
% 8.26/5.79 tff(7913,plain,
% 8.26/5.79 (((~v1(constB41)) | (~v96(constB41))) | v1(constB41)),
% 8.26/5.79 inference(tautology,[status(thm)],[])).
% 8.26/5.79 tff(7914,plain,
% 8.26/5.79 ((~v1(constB41)) | (~v96(constB41))),
% 8.26/5.79 inference(unit_resolution,[status(thm)],[7913, 7860])).
% 8.26/5.79 tff(7915,plain,
% 8.26/5.79 ((~(v95(constB41) <=> (~((~v1(constB41)) | (~v96(constB41)))))) | (~v95(constB41)) | (~((~v1(constB41)) | (~v96(constB41))))),
% 8.26/5.79 inference(tautology,[status(thm)],[])).
% 8.26/5.79 tff(7916,plain,
% 8.26/5.79 ((~(v95(constB41) <=> (~((~v1(constB41)) | (~v96(constB41)))))) | (~v95(constB41))),
% 8.26/5.79 inference(unit_resolution,[status(thm)],[7915, 7914])).
% 8.26/5.79 tff(7917,plain,
% 8.26/5.79 (~v95(constB41)),
% 8.26/5.79 inference(unit_resolution,[status(thm)],[7916, 7912])).
% 8.26/5.79 tff(7918,plain,
% 8.26/5.79 (((~v104(constB41)) | (~v95(constB41))) | v95(constB41)),
% 8.26/5.79 inference(tautology,[status(thm)],[])).
% 8.26/5.79 tff(7919,plain,
% 8.26/5.79 ((~v104(constB41)) | (~v95(constB41))),
% 8.26/5.79 inference(unit_resolution,[status(thm)],[7918, 7917])).
% 8.26/5.79 tff(7920,plain,
% 8.26/5.79 ((~(v94(constB41) <=> (~((~v104(constB41)) | (~v95(constB41)))))) | (~v94(constB41)) | (~((~v104(constB41)) | (~v95(constB41))))),
% 8.26/5.79 inference(tautology,[status(thm)],[])).
% 8.26/5.79 tff(7921,plain,
% 8.26/5.79 (~v94(constB41)),
% 8.26/5.79 inference(unit_resolution,[status(thm)],[7920, 7919, 7905])).
% 8.26/5.79 tff(7922,plain,
% 8.26/5.79 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB41) | (~nextState(constB40, constB41)) | ![B: $i] : ((~less_3(B)) | (v84(constB41, B) <=> v84(constB40, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB41) | (~nextState(constB40, constB41)) | ![B: $i] : ((~less_3(B)) | (v84(constB41, B) <=> v84(constB40, B))))),
% 8.26/5.79 inference(rewrite,[status(thm)],[])).
% 8.26/5.79 tff(7923,plain,
% 8.26/5.79 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB41) | (~nextState(constB40, constB41)) | ![B: $i] : ((~less_3(B)) | (v84(constB41, B) <=> v84(constB40, B))))),
% 8.26/5.79 inference(quant_inst,[status(thm)],[])).
% 8.26/5.79 tff(7924,plain,
% 8.26/5.79 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB41) | (~nextState(constB40, constB41)) | ![B: $i] : ((~less_3(B)) | (v84(constB41, B) <=> v84(constB40, B)))),
% 8.26/5.79 inference(modus_ponens,[status(thm)],[7923, 7922])).
% 8.26/5.79 tff(7925,plain,
% 8.26/5.79 (v94(constB41) | ![B: $i] : ((~less_3(B)) | (v84(constB41, B) <=> v84(constB40, B)))),
% 8.26/5.79 inference(unit_resolution,[status(thm)],[7924, 7901, 824])).
% 8.26/5.79 tff(7926,plain,
% 8.26/5.79 (![B: $i] : ((~less_3(B)) | (v84(constB41, B) <=> v84(constB40, B)))),
% 8.26/5.79 inference(unit_resolution,[status(thm)],[7925, 7921])).
% 8.26/5.79 tff(7927,plain,
% 8.26/5.79 (((~![B: $i] : ((~less_3(B)) | (v84(constB41, B) <=> v84(constB40, B)))) | ((~less_3(bitIndex2)) | (v84(constB41, bitIndex2) <=> v84(constB40, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB41, B) <=> v84(constB40, B)))) | (~less_3(bitIndex2)) | (v84(constB41, bitIndex2) <=> v84(constB40, bitIndex2)))),
% 8.26/5.79 inference(rewrite,[status(thm)],[])).
% 8.26/5.79 tff(7928,plain,
% 8.26/5.79 ((~![B: $i] : ((~less_3(B)) | (v84(constB41, B) <=> v84(constB40, B)))) | ((~less_3(bitIndex2)) | (v84(constB41, bitIndex2) <=> v84(constB40, bitIndex2)))),
% 8.26/5.79 inference(quant_inst,[status(thm)],[])).
% 8.26/5.79 tff(7929,plain,
% 8.26/5.79 ((~![B: $i] : ((~less_3(B)) | (v84(constB41, B) <=> v84(constB40, B)))) | (~less_3(bitIndex2)) | (v84(constB41, bitIndex2) <=> v84(constB40, bitIndex2))),
% 8.26/5.79 inference(modus_ponens,[status(thm)],[7928, 7927])).
% 8.26/5.79 tff(7930,plain,
% 8.26/5.79 (v84(constB41, bitIndex2) <=> v84(constB40, bitIndex2)),
% 8.26/5.79 inference(unit_resolution,[status(thm)],[7929, 832, 7926])).
% 8.26/5.79 tff(7931,plain,
% 8.26/5.79 (nextState(constB39, constB40) <=> nextState(constB39, constB40)),
% 8.26/5.79 inference(rewrite,[status(thm)],[])).
% 8.26/5.79 tff(7932,axiom,(nextState(constB39, constB40)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_39')).
% 8.26/5.79 tff(7933,plain,
% 8.26/5.79 (nextState(constB39, constB40)),
% 8.26/5.79 inference(modus_ponens,[status(thm)],[7932, 7931])).
% 8.26/5.79 tff(7934,plain,
% 8.26/5.79 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB39, constB40)) | (v94(constB40) <=> (~((~v104(constB40)) | (~v95(constB40))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB39, constB40)) | (v94(constB40) <=> (~((~v104(constB40)) | (~v95(constB40))))))),
% 8.26/5.79 inference(rewrite,[status(thm)],[])).
% 8.26/5.79 tff(7935,plain,
% 8.26/5.79 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB39, constB40)) | (v94(constB40) <=> (~((~v104(constB40)) | (~v95(constB40))))))),
% 8.26/5.79 inference(quant_inst,[status(thm)],[])).
% 8.26/5.79 tff(7936,plain,
% 8.26/5.79 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB39, constB40)) | (v94(constB40) <=> (~((~v104(constB40)) | (~v95(constB40)))))),
% 8.26/5.79 inference(modus_ponens,[status(thm)],[7935, 7934])).
% 8.26/5.79 tff(7937,plain,
% 8.26/5.79 (v94(constB40) <=> (~((~v104(constB40)) | (~v95(constB40))))),
% 8.26/5.79 inference(unit_resolution,[status(thm)],[7936, 7933, 775])).
% 8.26/5.79 tff(7938,plain,
% 8.26/5.79 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB39, constB40)) | (v95(constB40) <=> (~((~v1(constB40)) | (~v96(constB40))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB39, constB40)) | (v95(constB40) <=> (~((~v1(constB40)) | (~v96(constB40))))))),
% 8.26/5.79 inference(rewrite,[status(thm)],[])).
% 8.26/5.79 tff(7939,plain,
% 8.26/5.79 (((~nextState(constB39, constB40)) | (v95(constB40) <=> (~((~v96(constB40)) | (~v1(constB40)))))) <=> ((~nextState(constB39, constB40)) | (v95(constB40) <=> (~((~v1(constB40)) | (~v96(constB40))))))),
% 8.26/5.79 inference(rewrite,[status(thm)],[])).
% 8.26/5.79 tff(7940,plain,
% 8.26/5.79 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB39, constB40)) | (v95(constB40) <=> (~((~v96(constB40)) | (~v1(constB40))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB39, constB40)) | (v95(constB40) <=> (~((~v1(constB40)) | (~v96(constB40)))))))),
% 8.26/5.79 inference(monotonicity,[status(thm)],[7939])).
% 8.26/5.79 tff(7941,plain,
% 8.26/5.79 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB39, constB40)) | (v95(constB40) <=> (~((~v96(constB40)) | (~v1(constB40))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB39, constB40)) | (v95(constB40) <=> (~((~v1(constB40)) | (~v96(constB40))))))),
% 8.26/5.79 inference(transitivity,[status(thm)],[7940, 7938])).
% 8.26/5.79 tff(7942,plain,
% 8.26/5.79 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB39, constB40)) | (v95(constB40) <=> (~((~v96(constB40)) | (~v1(constB40))))))),
% 8.26/5.79 inference(quant_inst,[status(thm)],[])).
% 8.26/5.79 tff(7943,plain,
% 8.26/5.79 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB39, constB40)) | (v95(constB40) <=> (~((~v1(constB40)) | (~v96(constB40)))))),
% 8.26/5.79 inference(modus_ponens,[status(thm)],[7942, 7941])).
% 8.26/5.79 tff(7944,plain,
% 8.26/5.79 (v95(constB40) <=> (~((~v1(constB40)) | (~v96(constB40))))),
% 8.26/5.79 inference(unit_resolution,[status(thm)],[7943, 7933, 795])).
% 8.26/5.79 tff(7945,plain,
% 8.26/5.79 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB39, constB40)) | ((~v96(constB40)) <=> v98(constB40)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB39, constB40)) | ((~v96(constB40)) <=> v98(constB40)))),
% 8.26/5.79 inference(rewrite,[status(thm)],[])).
% 8.26/5.79 tff(7946,plain,
% 8.26/5.79 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB39, constB40)) | ((~v96(constB40)) <=> v98(constB40)))),
% 8.26/5.79 inference(quant_inst,[status(thm)],[])).
% 8.26/5.79 tff(7947,plain,
% 8.26/5.79 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB39, constB40)) | ((~v96(constB40)) <=> v98(constB40))),
% 8.26/5.79 inference(modus_ponens,[status(thm)],[7946, 7945])).
% 8.26/5.79 tff(7948,plain,
% 8.26/5.79 ((~v96(constB40)) <=> v98(constB40)),
% 8.26/5.79 inference(unit_resolution,[status(thm)],[7947, 7933, 860])).
% 8.26/5.79 tff(7949,plain,
% 8.26/5.79 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB39, constB40)) | (v98(constB40) <=> v1(constB39)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB39, constB40)) | (v98(constB40) <=> v1(constB39)))),
% 8.26/5.79 inference(rewrite,[status(thm)],[])).
% 8.26/5.79 tff(7950,plain,
% 8.26/5.79 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB39, constB40)) | (v98(constB40) <=> v1(constB39)))),
% 8.26/5.79 inference(quant_inst,[status(thm)],[])).
% 8.26/5.79 tff(7951,plain,
% 8.26/5.79 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB39, constB40)) | (v98(constB40) <=> v1(constB39))),
% 8.26/5.79 inference(modus_ponens,[status(thm)],[7950, 7949])).
% 8.26/5.79 tff(7952,plain,
% 8.26/5.79 (v98(constB40) <=> v1(constB39)),
% 8.26/5.79 inference(unit_resolution,[status(thm)],[7951, 7933, 874])).
% 8.26/5.79 tff(7953,plain,
% 8.26/5.79 ((~v1(constB39)) <=> (~v1(constB39))),
% 8.26/5.79 inference(rewrite,[status(thm)],[])).
% 8.26/5.79 tff(7954,axiom,(~v1(constB39)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_39')).
% 8.26/5.79 tff(7955,plain,
% 8.26/5.79 (~v1(constB39)),
% 8.26/5.79 inference(modus_ponens,[status(thm)],[7954, 7953])).
% 8.26/5.79 tff(7956,plain,
% 8.26/5.79 ((~(v98(constB40) <=> v1(constB39))) | (~v98(constB40)) | v1(constB39)),
% 8.26/5.79 inference(tautology,[status(thm)],[])).
% 8.26/5.79 tff(7957,plain,
% 8.26/5.79 ((~(v98(constB40) <=> v1(constB39))) | (~v98(constB40))),
% 8.26/5.79 inference(unit_resolution,[status(thm)],[7956, 7955])).
% 8.26/5.79 tff(7958,plain,
% 8.26/5.79 (~v98(constB40)),
% 8.26/5.79 inference(unit_resolution,[status(thm)],[7957, 7952])).
% 8.26/5.79 tff(7959,plain,
% 8.26/5.79 ((~((~v96(constB40)) <=> v98(constB40))) | v96(constB40) | v98(constB40)),
% 8.26/5.79 inference(tautology,[status(thm)],[])).
% 8.26/5.79 tff(7960,plain,
% 8.26/5.79 (v96(constB40)),
% 8.26/5.79 inference(unit_resolution,[status(thm)],[7959, 7958, 7948])).
% 8.26/5.79 tff(7961,plain,
% 8.26/5.79 (v1(constB40) <=> v1(constB40)),
% 8.26/5.79 inference(rewrite,[status(thm)],[])).
% 8.26/5.79 tff(7962,axiom,(v1(constB40)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_40')).
% 8.26/5.79 tff(7963,plain,
% 8.26/5.79 (v1(constB40)),
% 8.26/5.79 inference(modus_ponens,[status(thm)],[7962, 7961])).
% 8.26/5.79 tff(7964,plain,
% 8.26/5.79 ((~((~v1(constB40)) | (~v96(constB40)))) | (~v1(constB40)) | (~v96(constB40))),
% 8.26/5.79 inference(tautology,[status(thm)],[])).
% 8.26/5.79 tff(7965,plain,
% 8.26/5.79 ((~((~v1(constB40)) | (~v96(constB40)))) | (~v96(constB40))),
% 8.26/5.79 inference(unit_resolution,[status(thm)],[7964, 7963])).
% 8.26/5.79 tff(7966,plain,
% 8.26/5.79 (~((~v1(constB40)) | (~v96(constB40)))),
% 8.26/5.79 inference(unit_resolution,[status(thm)],[7965, 7960])).
% 8.26/5.79 tff(7967,plain,
% 8.26/5.79 ((~(v95(constB40) <=> (~((~v1(constB40)) | (~v96(constB40)))))) | v95(constB40) | ((~v1(constB40)) | (~v96(constB40)))),
% 8.26/5.79 inference(tautology,[status(thm)],[])).
% 8.26/5.79 tff(7968,plain,
% 8.26/5.79 (v95(constB40)),
% 8.26/5.79 inference(unit_resolution,[status(thm)],[7967, 7966, 7944])).
% 8.26/5.79 tff(7969,plain,
% 8.26/5.79 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB39, constB40)) | (v104(constB40) <=> v102(constB39)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB39, constB40)) | (v104(constB40) <=> v102(constB39)))),
% 8.26/5.79 inference(rewrite,[status(thm)],[])).
% 8.26/5.79 tff(7970,plain,
% 8.26/5.79 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB39, constB40)) | (v104(constB40) <=> v102(constB39)))),
% 8.26/5.79 inference(quant_inst,[status(thm)],[])).
% 8.26/5.79 tff(7971,plain,
% 8.26/5.79 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB39, constB40)) | (v104(constB40) <=> v102(constB39))),
% 8.26/5.79 inference(modus_ponens,[status(thm)],[7970, 7969])).
% 8.26/5.79 tff(7972,plain,
% 8.26/5.79 (v104(constB40) <=> v102(constB39)),
% 8.26/5.79 inference(unit_resolution,[status(thm)],[7971, 7933, 904])).
% 8.26/5.79 tff(7973,plain,
% 8.26/5.79 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB39) <=> (v105(constB39) | v106(constB39)))),
% 8.26/5.80 inference(quant_inst,[status(thm)],[])).
% 8.26/5.80 tff(7974,plain,
% 8.26/5.80 (v102(constB39) <=> (v105(constB39) | v106(constB39))),
% 8.26/5.80 inference(unit_resolution,[status(thm)],[7973, 915])).
% 8.26/5.80 tff(7975,plain,
% 8.26/5.80 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB39) <=> (~((~v107(constB39)) | (~v120(constB39)))))),
% 8.26/5.80 inference(quant_inst,[status(thm)],[])).
% 8.26/5.80 tff(7976,plain,
% 8.26/5.80 (v106(constB39) <=> (~((~v107(constB39)) | (~v120(constB39))))),
% 8.26/5.80 inference(unit_resolution,[status(thm)],[7975, 927])).
% 8.26/5.80 tff(7977,plain,
% 8.26/5.80 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB39) <=> (v108(constB39) | v119(constB39)))),
% 8.26/5.80 inference(quant_inst,[status(thm)],[])).
% 8.26/5.80 tff(7978,plain,
% 8.26/5.80 (v107(constB39) <=> (v108(constB39) | v119(constB39))),
% 8.26/5.80 inference(unit_resolution,[status(thm)],[7977, 936])).
% 8.26/5.80 tff(7979,plain,
% 8.26/5.80 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB39) <=> (v109(constB39) | v118(constB39)))),
% 8.26/5.80 inference(quant_inst,[status(thm)],[])).
% 8.26/5.80 tff(7980,plain,
% 8.26/5.80 (v108(constB39) <=> (v109(constB39) | v118(constB39))),
% 8.26/5.80 inference(unit_resolution,[status(thm)],[7979, 945])).
% 8.26/5.80 tff(7981,plain,
% 8.26/5.80 ((~![VarCurr: $i] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB39) <=> (v110(constB39) | v117(constB39)))),
% 8.26/5.80 inference(quant_inst,[status(thm)],[])).
% 8.26/5.80 tff(7982,plain,
% 8.26/5.80 (v109(constB39) <=> (v110(constB39) | v117(constB39))),
% 8.26/5.80 inference(unit_resolution,[status(thm)],[7981, 1056])).
% 8.26/5.80 tff(7983,plain,
% 8.26/5.80 ((~![VarCurr: $i] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB39) <=> (v111(constB39) | v116(constB39)))),
% 8.26/5.80 inference(quant_inst,[status(thm)],[])).
% 8.26/5.80 tff(7984,plain,
% 8.26/5.80 (v110(constB39) <=> (v111(constB39) | v116(constB39))),
% 8.26/5.80 inference(unit_resolution,[status(thm)],[7983, 1169])).
% 8.26/5.80 tff(7985,plain,
% 8.26/5.80 ((~![VarCurr: $i] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB39) <=> (v112(constB39) | v115(constB39)))),
% 8.26/5.80 inference(quant_inst,[status(thm)],[])).
% 8.26/5.80 tff(7986,plain,
% 8.26/5.80 (v111(constB39) <=> (v112(constB39) | v115(constB39))),
% 8.26/5.80 inference(unit_resolution,[status(thm)],[7985, 1279])).
% 8.26/5.80 tff(7987,plain,
% 8.26/5.80 ((~![VarCurr: $i] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))) | (v112(constB39) <=> (v113(constB39) | v114(constB39)))),
% 8.26/5.80 inference(quant_inst,[status(thm)],[])).
% 8.26/5.80 tff(7988,plain,
% 8.26/5.80 (v112(constB39) <=> (v113(constB39) | v114(constB39))),
% 8.26/5.80 inference(unit_resolution,[status(thm)],[7987, 1396])).
% 8.26/5.80 tff(7989,plain,
% 8.26/5.80 (((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB39) <=> (~(v84(constB39, bitIndex2) | v84(constB39, bitIndex1) | (~v84(constB39, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB39) <=> (~(v84(constB39, bitIndex2) | v84(constB39, bitIndex1) | (~v84(constB39, bitIndex0))))))),
% 8.26/5.80 inference(rewrite,[status(thm)],[])).
% 8.26/5.80 tff(7990,plain,
% 8.26/5.80 ((v114(constB39) <=> (~(v84(constB39, bitIndex1) | v84(constB39, bitIndex2) | (~v84(constB39, bitIndex0))))) <=> (v114(constB39) <=> (~(v84(constB39, bitIndex2) | v84(constB39, bitIndex1) | (~v84(constB39, bitIndex0)))))),
% 8.26/5.80 inference(rewrite,[status(thm)],[])).
% 8.26/5.80 tff(7991,plain,
% 8.26/5.80 (((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB39) <=> (~(v84(constB39, bitIndex1) | v84(constB39, bitIndex2) | (~v84(constB39, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB39) <=> (~(v84(constB39, bitIndex2) | v84(constB39, bitIndex1) | (~v84(constB39, bitIndex0))))))),
% 8.26/5.80 inference(monotonicity,[status(thm)],[7990])).
% 8.26/5.80 tff(7992,plain,
% 8.26/5.80 (((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB39) <=> (~(v84(constB39, bitIndex1) | v84(constB39, bitIndex2) | (~v84(constB39, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB39) <=> (~(v84(constB39, bitIndex2) | v84(constB39, bitIndex1) | (~v84(constB39, bitIndex0))))))),
% 8.28/5.80 inference(transitivity,[status(thm)],[7991, 7989])).
% 8.28/5.80 tff(7993,plain,
% 8.28/5.80 ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB39) <=> (~(v84(constB39, bitIndex1) | v84(constB39, bitIndex2) | (~v84(constB39, bitIndex0)))))),
% 8.28/5.80 inference(quant_inst,[status(thm)],[])).
% 8.28/5.80 tff(7994,plain,
% 8.28/5.80 ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB39) <=> (~(v84(constB39, bitIndex2) | v84(constB39, bitIndex1) | (~v84(constB39, bitIndex0)))))),
% 8.28/5.80 inference(modus_ponens,[status(thm)],[7993, 7992])).
% 8.28/5.80 tff(7995,plain,
% 8.28/5.80 (v114(constB39) <=> (~(v84(constB39, bitIndex2) | v84(constB39, bitIndex1) | (~v84(constB39, bitIndex0))))),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[7994, 1411])).
% 8.28/5.80 tff(7996,plain,
% 8.28/5.80 (nextState(constB38, constB39) <=> nextState(constB38, constB39)),
% 8.28/5.80 inference(rewrite,[status(thm)],[])).
% 8.28/5.80 tff(7997,axiom,(nextState(constB38, constB39)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_38')).
% 8.28/5.80 tff(7998,plain,
% 8.28/5.80 (nextState(constB38, constB39)),
% 8.28/5.80 inference(modus_ponens,[status(thm)],[7997, 7996])).
% 8.28/5.80 tff(7999,plain,
% 8.28/5.80 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB38, constB39)) | (v94(constB39) <=> (~((~v104(constB39)) | (~v95(constB39))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB38, constB39)) | (v94(constB39) <=> (~((~v104(constB39)) | (~v95(constB39))))))),
% 8.28/5.80 inference(rewrite,[status(thm)],[])).
% 8.28/5.80 tff(8000,plain,
% 8.28/5.80 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB38, constB39)) | (v94(constB39) <=> (~((~v104(constB39)) | (~v95(constB39))))))),
% 8.28/5.80 inference(quant_inst,[status(thm)],[])).
% 8.28/5.80 tff(8001,plain,
% 8.28/5.80 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB38, constB39)) | (v94(constB39) <=> (~((~v104(constB39)) | (~v95(constB39)))))),
% 8.28/5.80 inference(modus_ponens,[status(thm)],[8000, 7999])).
% 8.28/5.80 tff(8002,plain,
% 8.28/5.80 (v94(constB39) <=> (~((~v104(constB39)) | (~v95(constB39))))),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[8001, 7998, 775])).
% 8.28/5.80 tff(8003,plain,
% 8.28/5.80 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB38, constB39)) | (v95(constB39) <=> (~((~v1(constB39)) | (~v96(constB39))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB38, constB39)) | (v95(constB39) <=> (~((~v1(constB39)) | (~v96(constB39))))))),
% 8.28/5.80 inference(rewrite,[status(thm)],[])).
% 8.28/5.80 tff(8004,plain,
% 8.28/5.80 (((~nextState(constB38, constB39)) | (v95(constB39) <=> (~((~v96(constB39)) | (~v1(constB39)))))) <=> ((~nextState(constB38, constB39)) | (v95(constB39) <=> (~((~v1(constB39)) | (~v96(constB39))))))),
% 8.28/5.80 inference(rewrite,[status(thm)],[])).
% 8.28/5.80 tff(8005,plain,
% 8.28/5.80 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB38, constB39)) | (v95(constB39) <=> (~((~v96(constB39)) | (~v1(constB39))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB38, constB39)) | (v95(constB39) <=> (~((~v1(constB39)) | (~v96(constB39)))))))),
% 8.28/5.80 inference(monotonicity,[status(thm)],[8004])).
% 8.28/5.80 tff(8006,plain,
% 8.28/5.80 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB38, constB39)) | (v95(constB39) <=> (~((~v96(constB39)) | (~v1(constB39))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB38, constB39)) | (v95(constB39) <=> (~((~v1(constB39)) | (~v96(constB39))))))),
% 8.28/5.80 inference(transitivity,[status(thm)],[8005, 8003])).
% 8.28/5.80 tff(8007,plain,
% 8.28/5.80 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB38, constB39)) | (v95(constB39) <=> (~((~v96(constB39)) | (~v1(constB39))))))),
% 8.28/5.80 inference(quant_inst,[status(thm)],[])).
% 8.28/5.80 tff(8008,plain,
% 8.28/5.80 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB38, constB39)) | (v95(constB39) <=> (~((~v1(constB39)) | (~v96(constB39)))))),
% 8.28/5.80 inference(modus_ponens,[status(thm)],[8007, 8006])).
% 8.28/5.80 tff(8009,plain,
% 8.28/5.80 (v95(constB39) <=> (~((~v1(constB39)) | (~v96(constB39))))),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[8008, 7998, 795])).
% 8.28/5.80 tff(8010,plain,
% 8.28/5.80 (((~v1(constB39)) | (~v96(constB39))) | v1(constB39)),
% 8.28/5.80 inference(tautology,[status(thm)],[])).
% 8.28/5.80 tff(8011,plain,
% 8.28/5.80 ((~v1(constB39)) | (~v96(constB39))),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[8010, 7955])).
% 8.28/5.80 tff(8012,plain,
% 8.28/5.80 ((~(v95(constB39) <=> (~((~v1(constB39)) | (~v96(constB39)))))) | (~v95(constB39)) | (~((~v1(constB39)) | (~v96(constB39))))),
% 8.28/5.80 inference(tautology,[status(thm)],[])).
% 8.28/5.80 tff(8013,plain,
% 8.28/5.80 ((~(v95(constB39) <=> (~((~v1(constB39)) | (~v96(constB39)))))) | (~v95(constB39))),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[8012, 8011])).
% 8.28/5.80 tff(8014,plain,
% 8.28/5.80 (~v95(constB39)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[8013, 8009])).
% 8.28/5.80 tff(8015,plain,
% 8.28/5.80 (((~v104(constB39)) | (~v95(constB39))) | v95(constB39)),
% 8.28/5.80 inference(tautology,[status(thm)],[])).
% 8.28/5.80 tff(8016,plain,
% 8.28/5.80 ((~v104(constB39)) | (~v95(constB39))),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[8015, 8014])).
% 8.28/5.80 tff(8017,plain,
% 8.28/5.80 ((~(v94(constB39) <=> (~((~v104(constB39)) | (~v95(constB39)))))) | (~v94(constB39)) | (~((~v104(constB39)) | (~v95(constB39))))),
% 8.28/5.80 inference(tautology,[status(thm)],[])).
% 8.28/5.80 tff(8018,plain,
% 8.28/5.80 (~v94(constB39)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[8017, 8016, 8002])).
% 8.28/5.80 tff(8019,plain,
% 8.28/5.80 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB39) | (~nextState(constB38, constB39)) | ![B: $i] : ((~less_3(B)) | (v84(constB39, B) <=> v84(constB38, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB39) | (~nextState(constB38, constB39)) | ![B: $i] : ((~less_3(B)) | (v84(constB39, B) <=> v84(constB38, B))))),
% 8.28/5.80 inference(rewrite,[status(thm)],[])).
% 8.28/5.80 tff(8020,plain,
% 8.28/5.80 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB39) | (~nextState(constB38, constB39)) | ![B: $i] : ((~less_3(B)) | (v84(constB39, B) <=> v84(constB38, B))))),
% 8.28/5.80 inference(quant_inst,[status(thm)],[])).
% 8.28/5.80 tff(8021,plain,
% 8.28/5.80 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB39) | (~nextState(constB38, constB39)) | ![B: $i] : ((~less_3(B)) | (v84(constB39, B) <=> v84(constB38, B)))),
% 8.28/5.80 inference(modus_ponens,[status(thm)],[8020, 8019])).
% 8.28/5.80 tff(8022,plain,
% 8.28/5.80 (v94(constB39) | ![B: $i] : ((~less_3(B)) | (v84(constB39, B) <=> v84(constB38, B)))),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[8021, 7998, 824])).
% 8.28/5.80 tff(8023,plain,
% 8.28/5.80 (![B: $i] : ((~less_3(B)) | (v84(constB39, B) <=> v84(constB38, B)))),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[8022, 8018])).
% 8.28/5.80 tff(8024,plain,
% 8.28/5.80 (((~![B: $i] : ((~less_3(B)) | (v84(constB39, B) <=> v84(constB38, B)))) | ((~less_3(bitIndex2)) | (v84(constB39, bitIndex2) <=> v84(constB38, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB39, B) <=> v84(constB38, B)))) | (~less_3(bitIndex2)) | (v84(constB39, bitIndex2) <=> v84(constB38, bitIndex2)))),
% 8.28/5.80 inference(rewrite,[status(thm)],[])).
% 8.28/5.80 tff(8025,plain,
% 8.28/5.80 ((~![B: $i] : ((~less_3(B)) | (v84(constB39, B) <=> v84(constB38, B)))) | ((~less_3(bitIndex2)) | (v84(constB39, bitIndex2) <=> v84(constB38, bitIndex2)))),
% 8.28/5.80 inference(quant_inst,[status(thm)],[])).
% 8.28/5.80 tff(8026,plain,
% 8.28/5.80 ((~![B: $i] : ((~less_3(B)) | (v84(constB39, B) <=> v84(constB38, B)))) | (~less_3(bitIndex2)) | (v84(constB39, bitIndex2) <=> v84(constB38, bitIndex2))),
% 8.28/5.80 inference(modus_ponens,[status(thm)],[8025, 8024])).
% 8.28/5.80 tff(8027,plain,
% 8.28/5.80 (v84(constB39, bitIndex2) <=> v84(constB38, bitIndex2)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[8026, 832, 8023])).
% 8.28/5.80 tff(8028,plain,
% 8.28/5.80 (nextState(constB37, constB38) <=> nextState(constB37, constB38)),
% 8.28/5.80 inference(rewrite,[status(thm)],[])).
% 8.28/5.80 tff(8029,axiom,(nextState(constB37, constB38)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_37')).
% 8.28/5.80 tff(8030,plain,
% 8.28/5.80 (nextState(constB37, constB38)),
% 8.28/5.80 inference(modus_ponens,[status(thm)],[8029, 8028])).
% 8.28/5.80 tff(8031,plain,
% 8.28/5.80 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB37, constB38)) | (v94(constB38) <=> (~((~v104(constB38)) | (~v95(constB38))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB37, constB38)) | (v94(constB38) <=> (~((~v104(constB38)) | (~v95(constB38))))))),
% 8.28/5.80 inference(rewrite,[status(thm)],[])).
% 8.28/5.80 tff(8032,plain,
% 8.28/5.80 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB37, constB38)) | (v94(constB38) <=> (~((~v104(constB38)) | (~v95(constB38))))))),
% 8.28/5.80 inference(quant_inst,[status(thm)],[])).
% 8.28/5.80 tff(8033,plain,
% 8.28/5.80 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB37, constB38)) | (v94(constB38) <=> (~((~v104(constB38)) | (~v95(constB38)))))),
% 8.28/5.80 inference(modus_ponens,[status(thm)],[8032, 8031])).
% 8.28/5.80 tff(8034,plain,
% 8.28/5.80 (v94(constB38) <=> (~((~v104(constB38)) | (~v95(constB38))))),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[8033, 8030, 775])).
% 8.28/5.80 tff(8035,plain,
% 8.28/5.80 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB37, constB38)) | (v95(constB38) <=> (~((~v1(constB38)) | (~v96(constB38))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB37, constB38)) | (v95(constB38) <=> (~((~v1(constB38)) | (~v96(constB38))))))),
% 8.28/5.80 inference(rewrite,[status(thm)],[])).
% 8.28/5.80 tff(8036,plain,
% 8.28/5.80 (((~nextState(constB37, constB38)) | (v95(constB38) <=> (~((~v96(constB38)) | (~v1(constB38)))))) <=> ((~nextState(constB37, constB38)) | (v95(constB38) <=> (~((~v1(constB38)) | (~v96(constB38))))))),
% 8.28/5.80 inference(rewrite,[status(thm)],[])).
% 8.28/5.80 tff(8037,plain,
% 8.28/5.80 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB37, constB38)) | (v95(constB38) <=> (~((~v96(constB38)) | (~v1(constB38))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB37, constB38)) | (v95(constB38) <=> (~((~v1(constB38)) | (~v96(constB38)))))))),
% 8.28/5.80 inference(monotonicity,[status(thm)],[8036])).
% 8.28/5.80 tff(8038,plain,
% 8.28/5.80 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB37, constB38)) | (v95(constB38) <=> (~((~v96(constB38)) | (~v1(constB38))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB37, constB38)) | (v95(constB38) <=> (~((~v1(constB38)) | (~v96(constB38))))))),
% 8.28/5.80 inference(transitivity,[status(thm)],[8037, 8035])).
% 8.28/5.80 tff(8039,plain,
% 8.28/5.80 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB37, constB38)) | (v95(constB38) <=> (~((~v96(constB38)) | (~v1(constB38))))))),
% 8.28/5.80 inference(quant_inst,[status(thm)],[])).
% 8.28/5.80 tff(8040,plain,
% 8.28/5.80 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB37, constB38)) | (v95(constB38) <=> (~((~v1(constB38)) | (~v96(constB38)))))),
% 8.28/5.80 inference(modus_ponens,[status(thm)],[8039, 8038])).
% 8.28/5.80 tff(8041,plain,
% 8.28/5.80 (v95(constB38) <=> (~((~v1(constB38)) | (~v96(constB38))))),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[8040, 8030, 795])).
% 8.28/5.80 tff(8042,plain,
% 8.28/5.80 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB37, constB38)) | ((~v96(constB38)) <=> v98(constB38)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB37, constB38)) | ((~v96(constB38)) <=> v98(constB38)))),
% 8.28/5.80 inference(rewrite,[status(thm)],[])).
% 8.28/5.80 tff(8043,plain,
% 8.28/5.80 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB37, constB38)) | ((~v96(constB38)) <=> v98(constB38)))),
% 8.28/5.80 inference(quant_inst,[status(thm)],[])).
% 8.28/5.80 tff(8044,plain,
% 8.28/5.80 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB37, constB38)) | ((~v96(constB38)) <=> v98(constB38))),
% 8.28/5.80 inference(modus_ponens,[status(thm)],[8043, 8042])).
% 8.28/5.80 tff(8045,plain,
% 8.28/5.80 ((~v96(constB38)) <=> v98(constB38)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[8044, 8030, 860])).
% 8.28/5.80 tff(8046,plain,
% 8.28/5.80 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB37, constB38)) | (v98(constB38) <=> v1(constB37)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB37, constB38)) | (v98(constB38) <=> v1(constB37)))),
% 8.28/5.80 inference(rewrite,[status(thm)],[])).
% 8.28/5.80 tff(8047,plain,
% 8.28/5.80 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB37, constB38)) | (v98(constB38) <=> v1(constB37)))),
% 8.28/5.80 inference(quant_inst,[status(thm)],[])).
% 8.28/5.80 tff(8048,plain,
% 8.28/5.80 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB37, constB38)) | (v98(constB38) <=> v1(constB37))),
% 8.28/5.80 inference(modus_ponens,[status(thm)],[8047, 8046])).
% 8.28/5.80 tff(8049,plain,
% 8.28/5.80 (v98(constB38) <=> v1(constB37)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[8048, 8030, 874])).
% 8.28/5.80 tff(8050,plain,
% 8.28/5.80 ((~v1(constB37)) <=> (~v1(constB37))),
% 8.28/5.80 inference(rewrite,[status(thm)],[])).
% 8.28/5.80 tff(8051,axiom,(~v1(constB37)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_37')).
% 8.28/5.80 tff(8052,plain,
% 8.28/5.80 (~v1(constB37)),
% 8.28/5.80 inference(modus_ponens,[status(thm)],[8051, 8050])).
% 8.28/5.80 tff(8053,plain,
% 8.28/5.80 ((~(v98(constB38) <=> v1(constB37))) | (~v98(constB38)) | v1(constB37)),
% 8.28/5.80 inference(tautology,[status(thm)],[])).
% 8.28/5.80 tff(8054,plain,
% 8.28/5.80 ((~(v98(constB38) <=> v1(constB37))) | (~v98(constB38))),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[8053, 8052])).
% 8.28/5.80 tff(8055,plain,
% 8.28/5.80 (~v98(constB38)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[8054, 8049])).
% 8.28/5.80 tff(8056,plain,
% 8.28/5.80 ((~((~v96(constB38)) <=> v98(constB38))) | v96(constB38) | v98(constB38)),
% 8.28/5.80 inference(tautology,[status(thm)],[])).
% 8.28/5.80 tff(8057,plain,
% 8.28/5.80 (v96(constB38)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[8056, 8055, 8045])).
% 8.28/5.80 tff(8058,plain,
% 8.28/5.80 (v1(constB38) <=> v1(constB38)),
% 8.28/5.80 inference(rewrite,[status(thm)],[])).
% 8.28/5.80 tff(8059,axiom,(v1(constB38)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_38')).
% 8.28/5.80 tff(8060,plain,
% 8.28/5.80 (v1(constB38)),
% 8.28/5.80 inference(modus_ponens,[status(thm)],[8059, 8058])).
% 8.28/5.80 tff(8061,plain,
% 8.28/5.80 ((~((~v1(constB38)) | (~v96(constB38)))) | (~v1(constB38)) | (~v96(constB38))),
% 8.28/5.80 inference(tautology,[status(thm)],[])).
% 8.28/5.80 tff(8062,plain,
% 8.28/5.80 ((~((~v1(constB38)) | (~v96(constB38)))) | (~v96(constB38))),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[8061, 8060])).
% 8.28/5.80 tff(8063,plain,
% 8.28/5.80 (~((~v1(constB38)) | (~v96(constB38)))),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[8062, 8057])).
% 8.28/5.80 tff(8064,plain,
% 8.28/5.80 ((~(v95(constB38) <=> (~((~v1(constB38)) | (~v96(constB38)))))) | v95(constB38) | ((~v1(constB38)) | (~v96(constB38)))),
% 8.28/5.80 inference(tautology,[status(thm)],[])).
% 8.28/5.80 tff(8065,plain,
% 8.28/5.80 (v95(constB38)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[8064, 8063, 8041])).
% 8.28/5.80 tff(8066,plain,
% 8.28/5.80 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB37, constB38)) | (v104(constB38) <=> v102(constB37)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB37, constB38)) | (v104(constB38) <=> v102(constB37)))),
% 8.28/5.80 inference(rewrite,[status(thm)],[])).
% 8.28/5.80 tff(8067,plain,
% 8.28/5.80 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB37, constB38)) | (v104(constB38) <=> v102(constB37)))),
% 8.28/5.80 inference(quant_inst,[status(thm)],[])).
% 8.28/5.80 tff(8068,plain,
% 8.28/5.80 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB37, constB38)) | (v104(constB38) <=> v102(constB37))),
% 8.28/5.80 inference(modus_ponens,[status(thm)],[8067, 8066])).
% 8.28/5.80 tff(8069,plain,
% 8.28/5.80 (v104(constB38) <=> v102(constB37)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[8068, 8030, 904])).
% 8.28/5.80 tff(8070,plain,
% 8.28/5.80 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB37) <=> (v105(constB37) | v106(constB37)))),
% 8.28/5.80 inference(quant_inst,[status(thm)],[])).
% 8.28/5.80 tff(8071,plain,
% 8.28/5.80 (v102(constB37) <=> (v105(constB37) | v106(constB37))),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[8070, 915])).
% 8.28/5.80 tff(8072,plain,
% 8.28/5.80 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB37) <=> (~((~v107(constB37)) | (~v120(constB37)))))),
% 8.28/5.80 inference(quant_inst,[status(thm)],[])).
% 8.28/5.80 tff(8073,plain,
% 8.28/5.80 (v106(constB37) <=> (~((~v107(constB37)) | (~v120(constB37))))),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[8072, 927])).
% 8.28/5.80 tff(8074,plain,
% 8.28/5.80 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB37) <=> (v108(constB37) | v119(constB37)))),
% 8.28/5.80 inference(quant_inst,[status(thm)],[])).
% 8.28/5.80 tff(8075,plain,
% 8.28/5.80 (v107(constB37) <=> (v108(constB37) | v119(constB37))),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[8074, 936])).
% 8.28/5.80 tff(8076,plain,
% 8.28/5.80 (((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB37) <=> (~((~v84(constB37, bitIndex2)) | (~v84(constB37, bitIndex1)) | v84(constB37, bitIndex0))))) <=> ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB37) <=> (~((~v84(constB37, bitIndex2)) | (~v84(constB37, bitIndex1)) | v84(constB37, bitIndex0)))))),
% 8.28/5.80 inference(rewrite,[status(thm)],[])).
% 8.28/5.80 tff(8077,plain,
% 8.28/5.80 ((v119(constB37) <=> (~(v84(constB37, bitIndex0) | (~v84(constB37, bitIndex1)) | (~v84(constB37, bitIndex2))))) <=> (v119(constB37) <=> (~((~v84(constB37, bitIndex2)) | (~v84(constB37, bitIndex1)) | v84(constB37, bitIndex0))))),
% 8.28/5.80 inference(rewrite,[status(thm)],[])).
% 8.28/5.80 tff(8078,plain,
% 8.28/5.80 (((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB37) <=> (~(v84(constB37, bitIndex0) | (~v84(constB37, bitIndex1)) | (~v84(constB37, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB37) <=> (~((~v84(constB37, bitIndex2)) | (~v84(constB37, bitIndex1)) | v84(constB37, bitIndex0)))))),
% 8.28/5.80 inference(monotonicity,[status(thm)],[8077])).
% 8.28/5.80 tff(8079,plain,
% 8.28/5.80 (((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB37) <=> (~(v84(constB37, bitIndex0) | (~v84(constB37, bitIndex1)) | (~v84(constB37, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB37) <=> (~((~v84(constB37, bitIndex2)) | (~v84(constB37, bitIndex1)) | v84(constB37, bitIndex0)))))),
% 8.28/5.80 inference(transitivity,[status(thm)],[8078, 8076])).
% 8.28/5.80 tff(8080,plain,
% 8.28/5.80 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB37) <=> (~(v84(constB37, bitIndex0) | (~v84(constB37, bitIndex1)) | (~v84(constB37, bitIndex2)))))),
% 8.28/5.80 inference(quant_inst,[status(thm)],[])).
% 8.28/5.80 tff(8081,plain,
% 8.28/5.80 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB37) <=> (~((~v84(constB37, bitIndex2)) | (~v84(constB37, bitIndex1)) | v84(constB37, bitIndex0))))),
% 8.28/5.80 inference(modus_ponens,[status(thm)],[8080, 8079])).
% 8.28/5.80 tff(8082,plain,
% 8.28/5.80 (v119(constB37) <=> (~((~v84(constB37, bitIndex2)) | (~v84(constB37, bitIndex1)) | v84(constB37, bitIndex0)))),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[8081, 1511])).
% 8.28/5.80 tff(8083,plain,
% 8.28/5.80 (nextState(constB36, constB37) <=> nextState(constB36, constB37)),
% 8.28/5.80 inference(rewrite,[status(thm)],[])).
% 8.28/5.80 tff(8084,axiom,(nextState(constB36, constB37)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_36')).
% 8.28/5.80 tff(8085,plain,
% 8.28/5.80 (nextState(constB36, constB37)),
% 8.28/5.80 inference(modus_ponens,[status(thm)],[8084, 8083])).
% 8.28/5.80 tff(8086,plain,
% 8.28/5.80 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB36, constB37)) | (v94(constB37) <=> (~((~v104(constB37)) | (~v95(constB37))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB36, constB37)) | (v94(constB37) <=> (~((~v104(constB37)) | (~v95(constB37))))))),
% 8.28/5.80 inference(rewrite,[status(thm)],[])).
% 8.28/5.80 tff(8087,plain,
% 8.28/5.80 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB36, constB37)) | (v94(constB37) <=> (~((~v104(constB37)) | (~v95(constB37))))))),
% 8.28/5.80 inference(quant_inst,[status(thm)],[])).
% 8.28/5.80 tff(8088,plain,
% 8.28/5.80 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB36, constB37)) | (v94(constB37) <=> (~((~v104(constB37)) | (~v95(constB37)))))),
% 8.28/5.80 inference(modus_ponens,[status(thm)],[8087, 8086])).
% 8.28/5.80 tff(8089,plain,
% 8.28/5.80 (v94(constB37) <=> (~((~v104(constB37)) | (~v95(constB37))))),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[8088, 8085, 775])).
% 8.28/5.80 tff(8090,plain,
% 8.28/5.80 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB36, constB37)) | (v95(constB37) <=> (~((~v1(constB37)) | (~v96(constB37))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB36, constB37)) | (v95(constB37) <=> (~((~v1(constB37)) | (~v96(constB37))))))),
% 8.28/5.80 inference(rewrite,[status(thm)],[])).
% 8.28/5.80 tff(8091,plain,
% 8.28/5.80 (((~nextState(constB36, constB37)) | (v95(constB37) <=> (~((~v96(constB37)) | (~v1(constB37)))))) <=> ((~nextState(constB36, constB37)) | (v95(constB37) <=> (~((~v1(constB37)) | (~v96(constB37))))))),
% 8.28/5.80 inference(rewrite,[status(thm)],[])).
% 8.28/5.80 tff(8092,plain,
% 8.28/5.80 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB36, constB37)) | (v95(constB37) <=> (~((~v96(constB37)) | (~v1(constB37))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB36, constB37)) | (v95(constB37) <=> (~((~v1(constB37)) | (~v96(constB37)))))))),
% 8.28/5.80 inference(monotonicity,[status(thm)],[8091])).
% 8.28/5.80 tff(8093,plain,
% 8.28/5.80 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB36, constB37)) | (v95(constB37) <=> (~((~v96(constB37)) | (~v1(constB37))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB36, constB37)) | (v95(constB37) <=> (~((~v1(constB37)) | (~v96(constB37))))))),
% 8.28/5.80 inference(transitivity,[status(thm)],[8092, 8090])).
% 8.28/5.80 tff(8094,plain,
% 8.28/5.80 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB36, constB37)) | (v95(constB37) <=> (~((~v96(constB37)) | (~v1(constB37))))))),
% 8.28/5.80 inference(quant_inst,[status(thm)],[])).
% 8.28/5.80 tff(8095,plain,
% 8.28/5.80 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB36, constB37)) | (v95(constB37) <=> (~((~v1(constB37)) | (~v96(constB37)))))),
% 8.28/5.80 inference(modus_ponens,[status(thm)],[8094, 8093])).
% 8.28/5.80 tff(8096,plain,
% 8.28/5.80 (v95(constB37) <=> (~((~v1(constB37)) | (~v96(constB37))))),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[8095, 8085, 795])).
% 8.28/5.80 tff(8097,plain,
% 8.28/5.80 (((~v1(constB37)) | (~v96(constB37))) | v1(constB37)),
% 8.28/5.80 inference(tautology,[status(thm)],[])).
% 8.28/5.80 tff(8098,plain,
% 8.28/5.80 ((~v1(constB37)) | (~v96(constB37))),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[8097, 8052])).
% 8.28/5.80 tff(8099,plain,
% 8.28/5.80 ((~(v95(constB37) <=> (~((~v1(constB37)) | (~v96(constB37)))))) | (~v95(constB37)) | (~((~v1(constB37)) | (~v96(constB37))))),
% 8.28/5.80 inference(tautology,[status(thm)],[])).
% 8.28/5.80 tff(8100,plain,
% 8.28/5.80 ((~(v95(constB37) <=> (~((~v1(constB37)) | (~v96(constB37)))))) | (~v95(constB37))),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[8099, 8098])).
% 8.28/5.80 tff(8101,plain,
% 8.28/5.80 (~v95(constB37)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[8100, 8096])).
% 8.28/5.80 tff(8102,plain,
% 8.28/5.80 (((~v104(constB37)) | (~v95(constB37))) | v95(constB37)),
% 8.28/5.80 inference(tautology,[status(thm)],[])).
% 8.28/5.80 tff(8103,plain,
% 8.28/5.80 ((~v104(constB37)) | (~v95(constB37))),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[8102, 8101])).
% 8.28/5.80 tff(8104,plain,
% 8.28/5.80 ((~(v94(constB37) <=> (~((~v104(constB37)) | (~v95(constB37)))))) | (~v94(constB37)) | (~((~v104(constB37)) | (~v95(constB37))))),
% 8.28/5.80 inference(tautology,[status(thm)],[])).
% 8.28/5.80 tff(8105,plain,
% 8.28/5.80 (~v94(constB37)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[8104, 8103, 8089])).
% 8.28/5.80 tff(8106,plain,
% 8.28/5.80 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB37) | (~nextState(constB36, constB37)) | ![B: $i] : ((~less_3(B)) | (v84(constB37, B) <=> v84(constB36, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB37) | (~nextState(constB36, constB37)) | ![B: $i] : ((~less_3(B)) | (v84(constB37, B) <=> v84(constB36, B))))),
% 8.28/5.80 inference(rewrite,[status(thm)],[])).
% 8.28/5.80 tff(8107,plain,
% 8.28/5.80 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB37) | (~nextState(constB36, constB37)) | ![B: $i] : ((~less_3(B)) | (v84(constB37, B) <=> v84(constB36, B))))),
% 8.28/5.80 inference(quant_inst,[status(thm)],[])).
% 8.28/5.80 tff(8108,plain,
% 8.28/5.80 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB37) | (~nextState(constB36, constB37)) | ![B: $i] : ((~less_3(B)) | (v84(constB37, B) <=> v84(constB36, B)))),
% 8.28/5.80 inference(modus_ponens,[status(thm)],[8107, 8106])).
% 8.28/5.80 tff(8109,plain,
% 8.28/5.80 (v94(constB37) | ![B: $i] : ((~less_3(B)) | (v84(constB37, B) <=> v84(constB36, B)))),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[8108, 8085, 824])).
% 8.28/5.80 tff(8110,plain,
% 8.28/5.80 (![B: $i] : ((~less_3(B)) | (v84(constB37, B) <=> v84(constB36, B)))),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[8109, 8105])).
% 8.28/5.80 tff(8111,plain,
% 8.28/5.80 (((~![B: $i] : ((~less_3(B)) | (v84(constB37, B) <=> v84(constB36, B)))) | ((~less_3(bitIndex2)) | (v84(constB37, bitIndex2) <=> v84(constB36, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB37, B) <=> v84(constB36, B)))) | (~less_3(bitIndex2)) | (v84(constB37, bitIndex2) <=> v84(constB36, bitIndex2)))),
% 8.28/5.80 inference(rewrite,[status(thm)],[])).
% 8.28/5.80 tff(8112,plain,
% 8.28/5.80 ((~![B: $i] : ((~less_3(B)) | (v84(constB37, B) <=> v84(constB36, B)))) | ((~less_3(bitIndex2)) | (v84(constB37, bitIndex2) <=> v84(constB36, bitIndex2)))),
% 8.28/5.80 inference(quant_inst,[status(thm)],[])).
% 8.28/5.80 tff(8113,plain,
% 8.28/5.80 ((~![B: $i] : ((~less_3(B)) | (v84(constB37, B) <=> v84(constB36, B)))) | (~less_3(bitIndex2)) | (v84(constB37, bitIndex2) <=> v84(constB36, bitIndex2))),
% 8.28/5.80 inference(modus_ponens,[status(thm)],[8112, 8111])).
% 8.28/5.80 tff(8114,plain,
% 8.28/5.80 (v84(constB37, bitIndex2) <=> v84(constB36, bitIndex2)),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[8113, 832, 8110])).
% 8.28/5.80 tff(8115,plain,
% 8.28/5.80 (nextState(constB35, constB36) <=> nextState(constB35, constB36)),
% 8.28/5.80 inference(rewrite,[status(thm)],[])).
% 8.28/5.80 tff(8116,axiom,(nextState(constB35, constB36)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_35')).
% 8.28/5.80 tff(8117,plain,
% 8.28/5.80 (nextState(constB35, constB36)),
% 8.28/5.80 inference(modus_ponens,[status(thm)],[8116, 8115])).
% 8.28/5.80 tff(8118,plain,
% 8.28/5.80 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB35, constB36)) | (v94(constB36) <=> (~((~v104(constB36)) | (~v95(constB36))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB35, constB36)) | (v94(constB36) <=> (~((~v104(constB36)) | (~v95(constB36))))))),
% 8.28/5.80 inference(rewrite,[status(thm)],[])).
% 8.28/5.80 tff(8119,plain,
% 8.28/5.80 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB35, constB36)) | (v94(constB36) <=> (~((~v104(constB36)) | (~v95(constB36))))))),
% 8.28/5.80 inference(quant_inst,[status(thm)],[])).
% 8.28/5.80 tff(8120,plain,
% 8.28/5.80 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB35, constB36)) | (v94(constB36) <=> (~((~v104(constB36)) | (~v95(constB36)))))),
% 8.28/5.80 inference(modus_ponens,[status(thm)],[8119, 8118])).
% 8.28/5.80 tff(8121,plain,
% 8.28/5.80 (v94(constB36) <=> (~((~v104(constB36)) | (~v95(constB36))))),
% 8.28/5.80 inference(unit_resolution,[status(thm)],[8120, 8117, 775])).
% 8.28/5.80 tff(8122,plain,
% 8.28/5.80 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB35, constB36)) | (v95(constB36) <=> (~((~v1(constB36)) | (~v96(constB36))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB35, constB36)) | (v95(constB36) <=> (~((~v1(constB36)) | (~v96(constB36))))))),
% 8.28/5.80 inference(rewrite,[status(thm)],[])).
% 8.28/5.80 tff(8123,plain,
% 8.28/5.80 (((~nextState(constB35, constB36)) | (v95(constB36) <=> (~((~v96(constB36)) | (~v1(constB36)))))) <=> ((~nextState(constB35, constB36)) | (v95(constB36) <=> (~((~v1(constB36)) | (~v96(constB36))))))),
% 8.28/5.81 inference(rewrite,[status(thm)],[])).
% 8.28/5.81 tff(8124,plain,
% 8.28/5.81 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB35, constB36)) | (v95(constB36) <=> (~((~v96(constB36)) | (~v1(constB36))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB35, constB36)) | (v95(constB36) <=> (~((~v1(constB36)) | (~v96(constB36)))))))),
% 8.28/5.81 inference(monotonicity,[status(thm)],[8123])).
% 8.28/5.81 tff(8125,plain,
% 8.28/5.81 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB35, constB36)) | (v95(constB36) <=> (~((~v96(constB36)) | (~v1(constB36))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB35, constB36)) | (v95(constB36) <=> (~((~v1(constB36)) | (~v96(constB36))))))),
% 8.28/5.81 inference(transitivity,[status(thm)],[8124, 8122])).
% 8.28/5.81 tff(8126,plain,
% 8.28/5.81 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB35, constB36)) | (v95(constB36) <=> (~((~v96(constB36)) | (~v1(constB36))))))),
% 8.28/5.81 inference(quant_inst,[status(thm)],[])).
% 8.28/5.81 tff(8127,plain,
% 8.28/5.81 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB35, constB36)) | (v95(constB36) <=> (~((~v1(constB36)) | (~v96(constB36)))))),
% 8.28/5.81 inference(modus_ponens,[status(thm)],[8126, 8125])).
% 8.28/5.81 tff(8128,plain,
% 8.28/5.81 (v95(constB36) <=> (~((~v1(constB36)) | (~v96(constB36))))),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[8127, 8117, 795])).
% 8.28/5.81 tff(8129,plain,
% 8.28/5.81 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB35, constB36)) | ((~v96(constB36)) <=> v98(constB36)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB35, constB36)) | ((~v96(constB36)) <=> v98(constB36)))),
% 8.28/5.81 inference(rewrite,[status(thm)],[])).
% 8.28/5.81 tff(8130,plain,
% 8.28/5.81 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB35, constB36)) | ((~v96(constB36)) <=> v98(constB36)))),
% 8.28/5.81 inference(quant_inst,[status(thm)],[])).
% 8.28/5.81 tff(8131,plain,
% 8.28/5.81 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB35, constB36)) | ((~v96(constB36)) <=> v98(constB36))),
% 8.28/5.81 inference(modus_ponens,[status(thm)],[8130, 8129])).
% 8.28/5.81 tff(8132,plain,
% 8.28/5.81 ((~v96(constB36)) <=> v98(constB36)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[8131, 8117, 860])).
% 8.28/5.81 tff(8133,plain,
% 8.28/5.81 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB35, constB36)) | (v98(constB36) <=> v1(constB35)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB35, constB36)) | (v98(constB36) <=> v1(constB35)))),
% 8.28/5.81 inference(rewrite,[status(thm)],[])).
% 8.28/5.81 tff(8134,plain,
% 8.28/5.81 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB35, constB36)) | (v98(constB36) <=> v1(constB35)))),
% 8.28/5.81 inference(quant_inst,[status(thm)],[])).
% 8.28/5.81 tff(8135,plain,
% 8.28/5.81 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB35, constB36)) | (v98(constB36) <=> v1(constB35))),
% 8.28/5.81 inference(modus_ponens,[status(thm)],[8134, 8133])).
% 8.28/5.81 tff(8136,plain,
% 8.28/5.81 (v98(constB36) <=> v1(constB35)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[8135, 8117, 874])).
% 8.28/5.81 tff(8137,plain,
% 8.28/5.81 ((~v1(constB35)) <=> (~v1(constB35))),
% 8.28/5.81 inference(rewrite,[status(thm)],[])).
% 8.28/5.81 tff(8138,axiom,(~v1(constB35)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_35')).
% 8.28/5.81 tff(8139,plain,
% 8.28/5.81 (~v1(constB35)),
% 8.28/5.81 inference(modus_ponens,[status(thm)],[8138, 8137])).
% 8.28/5.81 tff(8140,plain,
% 8.28/5.81 ((~(v98(constB36) <=> v1(constB35))) | (~v98(constB36)) | v1(constB35)),
% 8.28/5.81 inference(tautology,[status(thm)],[])).
% 8.28/5.81 tff(8141,plain,
% 8.28/5.81 ((~(v98(constB36) <=> v1(constB35))) | (~v98(constB36))),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[8140, 8139])).
% 8.28/5.81 tff(8142,plain,
% 8.28/5.81 (~v98(constB36)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[8141, 8136])).
% 8.28/5.81 tff(8143,plain,
% 8.28/5.81 ((~((~v96(constB36)) <=> v98(constB36))) | v96(constB36) | v98(constB36)),
% 8.28/5.81 inference(tautology,[status(thm)],[])).
% 8.28/5.81 tff(8144,plain,
% 8.28/5.81 (v96(constB36)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[8143, 8142, 8132])).
% 8.28/5.81 tff(8145,plain,
% 8.28/5.81 (v1(constB36) <=> v1(constB36)),
% 8.28/5.81 inference(rewrite,[status(thm)],[])).
% 8.28/5.81 tff(8146,axiom,(v1(constB36)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_36')).
% 8.28/5.81 tff(8147,plain,
% 8.28/5.81 (v1(constB36)),
% 8.28/5.81 inference(modus_ponens,[status(thm)],[8146, 8145])).
% 8.28/5.81 tff(8148,plain,
% 8.28/5.81 ((~((~v1(constB36)) | (~v96(constB36)))) | (~v1(constB36)) | (~v96(constB36))),
% 8.28/5.81 inference(tautology,[status(thm)],[])).
% 8.28/5.81 tff(8149,plain,
% 8.28/5.81 ((~((~v1(constB36)) | (~v96(constB36)))) | (~v96(constB36))),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[8148, 8147])).
% 8.28/5.81 tff(8150,plain,
% 8.28/5.81 (~((~v1(constB36)) | (~v96(constB36)))),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[8149, 8144])).
% 8.28/5.81 tff(8151,plain,
% 8.28/5.81 ((~(v95(constB36) <=> (~((~v1(constB36)) | (~v96(constB36)))))) | v95(constB36) | ((~v1(constB36)) | (~v96(constB36)))),
% 8.28/5.81 inference(tautology,[status(thm)],[])).
% 8.28/5.81 tff(8152,plain,
% 8.28/5.81 (v95(constB36)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[8151, 8150, 8128])).
% 8.28/5.81 tff(8153,plain,
% 8.28/5.81 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB35, constB36)) | (v104(constB36) <=> v102(constB35)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB35, constB36)) | (v104(constB36) <=> v102(constB35)))),
% 8.28/5.81 inference(rewrite,[status(thm)],[])).
% 8.28/5.81 tff(8154,plain,
% 8.28/5.81 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB35, constB36)) | (v104(constB36) <=> v102(constB35)))),
% 8.28/5.81 inference(quant_inst,[status(thm)],[])).
% 8.28/5.81 tff(8155,plain,
% 8.28/5.81 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB35, constB36)) | (v104(constB36) <=> v102(constB35))),
% 8.28/5.81 inference(modus_ponens,[status(thm)],[8154, 8153])).
% 8.28/5.81 tff(8156,plain,
% 8.28/5.81 (v104(constB36) <=> v102(constB35)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[8155, 8117, 904])).
% 8.28/5.81 tff(8157,plain,
% 8.28/5.81 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB35) <=> (v105(constB35) | v106(constB35)))),
% 8.28/5.81 inference(quant_inst,[status(thm)],[])).
% 8.28/5.81 tff(8158,plain,
% 8.28/5.81 (v102(constB35) <=> (v105(constB35) | v106(constB35))),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[8157, 915])).
% 8.28/5.81 tff(8159,plain,
% 8.28/5.81 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB35) <=> (~((~v107(constB35)) | (~v120(constB35)))))),
% 8.28/5.81 inference(quant_inst,[status(thm)],[])).
% 8.28/5.81 tff(8160,plain,
% 8.28/5.81 (v106(constB35) <=> (~((~v107(constB35)) | (~v120(constB35))))),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[8159, 927])).
% 8.28/5.81 tff(8161,plain,
% 8.28/5.81 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB35) <=> (v108(constB35) | v119(constB35)))),
% 8.28/5.81 inference(quant_inst,[status(thm)],[])).
% 8.28/5.81 tff(8162,plain,
% 8.28/5.81 (v107(constB35) <=> (v108(constB35) | v119(constB35))),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[8161, 936])).
% 8.28/5.81 tff(8163,plain,
% 8.28/5.81 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB35) <=> (v109(constB35) | v118(constB35)))),
% 8.28/5.81 inference(quant_inst,[status(thm)],[])).
% 8.28/5.81 tff(8164,plain,
% 8.28/5.81 (v108(constB35) <=> (v109(constB35) | v118(constB35))),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[8163, 945])).
% 8.28/5.81 tff(8165,plain,
% 8.28/5.81 (((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB35) <=> (~((~v84(constB35, bitIndex2)) | v84(constB35, bitIndex1) | (~v84(constB35, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB35) <=> (~((~v84(constB35, bitIndex2)) | v84(constB35, bitIndex1) | (~v84(constB35, bitIndex0))))))),
% 8.28/5.81 inference(rewrite,[status(thm)],[])).
% 8.28/5.81 tff(8166,plain,
% 8.28/5.81 ((v118(constB35) <=> (~(v84(constB35, bitIndex1) | (~v84(constB35, bitIndex0)) | (~v84(constB35, bitIndex2))))) <=> (v118(constB35) <=> (~((~v84(constB35, bitIndex2)) | v84(constB35, bitIndex1) | (~v84(constB35, bitIndex0)))))),
% 8.28/5.81 inference(rewrite,[status(thm)],[])).
% 8.28/5.81 tff(8167,plain,
% 8.28/5.81 (((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB35) <=> (~(v84(constB35, bitIndex1) | (~v84(constB35, bitIndex0)) | (~v84(constB35, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB35) <=> (~((~v84(constB35, bitIndex2)) | v84(constB35, bitIndex1) | (~v84(constB35, bitIndex0))))))),
% 8.28/5.81 inference(monotonicity,[status(thm)],[8166])).
% 8.28/5.81 tff(8168,plain,
% 8.28/5.81 (((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB35) <=> (~(v84(constB35, bitIndex1) | (~v84(constB35, bitIndex0)) | (~v84(constB35, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB35) <=> (~((~v84(constB35, bitIndex2)) | v84(constB35, bitIndex1) | (~v84(constB35, bitIndex0))))))),
% 8.28/5.81 inference(transitivity,[status(thm)],[8167, 8165])).
% 8.28/5.81 tff(8169,plain,
% 8.28/5.81 ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB35) <=> (~(v84(constB35, bitIndex1) | (~v84(constB35, bitIndex0)) | (~v84(constB35, bitIndex2)))))),
% 8.28/5.81 inference(quant_inst,[status(thm)],[])).
% 8.28/5.81 tff(8170,plain,
% 8.28/5.81 ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB35) <=> (~((~v84(constB35, bitIndex2)) | v84(constB35, bitIndex1) | (~v84(constB35, bitIndex0)))))),
% 8.28/5.81 inference(modus_ponens,[status(thm)],[8169, 8168])).
% 8.28/5.81 tff(8171,plain,
% 8.28/5.81 (v118(constB35) <=> (~((~v84(constB35, bitIndex2)) | v84(constB35, bitIndex1) | (~v84(constB35, bitIndex0))))),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[8170, 960])).
% 8.28/5.81 tff(8172,plain,
% 8.28/5.81 (nextState(constB34, constB35) <=> nextState(constB34, constB35)),
% 8.28/5.81 inference(rewrite,[status(thm)],[])).
% 8.28/5.81 tff(8173,axiom,(nextState(constB34, constB35)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_34')).
% 8.28/5.81 tff(8174,plain,
% 8.28/5.81 (nextState(constB34, constB35)),
% 8.28/5.81 inference(modus_ponens,[status(thm)],[8173, 8172])).
% 8.28/5.81 tff(8175,plain,
% 8.28/5.81 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB34, constB35)) | (v94(constB35) <=> (~((~v104(constB35)) | (~v95(constB35))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB34, constB35)) | (v94(constB35) <=> (~((~v104(constB35)) | (~v95(constB35))))))),
% 8.28/5.81 inference(rewrite,[status(thm)],[])).
% 8.28/5.81 tff(8176,plain,
% 8.28/5.81 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB34, constB35)) | (v94(constB35) <=> (~((~v104(constB35)) | (~v95(constB35))))))),
% 8.28/5.81 inference(quant_inst,[status(thm)],[])).
% 8.28/5.81 tff(8177,plain,
% 8.28/5.81 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB34, constB35)) | (v94(constB35) <=> (~((~v104(constB35)) | (~v95(constB35)))))),
% 8.28/5.81 inference(modus_ponens,[status(thm)],[8176, 8175])).
% 8.28/5.81 tff(8178,plain,
% 8.28/5.81 (v94(constB35) <=> (~((~v104(constB35)) | (~v95(constB35))))),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[8177, 8174, 775])).
% 8.28/5.81 tff(8179,plain,
% 8.28/5.81 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB34, constB35)) | (v95(constB35) <=> (~((~v1(constB35)) | (~v96(constB35))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB34, constB35)) | (v95(constB35) <=> (~((~v1(constB35)) | (~v96(constB35))))))),
% 8.28/5.81 inference(rewrite,[status(thm)],[])).
% 8.28/5.81 tff(8180,plain,
% 8.28/5.81 (((~nextState(constB34, constB35)) | (v95(constB35) <=> (~((~v96(constB35)) | (~v1(constB35)))))) <=> ((~nextState(constB34, constB35)) | (v95(constB35) <=> (~((~v1(constB35)) | (~v96(constB35))))))),
% 8.28/5.81 inference(rewrite,[status(thm)],[])).
% 8.28/5.81 tff(8181,plain,
% 8.28/5.81 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB34, constB35)) | (v95(constB35) <=> (~((~v96(constB35)) | (~v1(constB35))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB34, constB35)) | (v95(constB35) <=> (~((~v1(constB35)) | (~v96(constB35)))))))),
% 8.28/5.81 inference(monotonicity,[status(thm)],[8180])).
% 8.28/5.81 tff(8182,plain,
% 8.28/5.81 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB34, constB35)) | (v95(constB35) <=> (~((~v96(constB35)) | (~v1(constB35))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB34, constB35)) | (v95(constB35) <=> (~((~v1(constB35)) | (~v96(constB35))))))),
% 8.28/5.81 inference(transitivity,[status(thm)],[8181, 8179])).
% 8.28/5.81 tff(8183,plain,
% 8.28/5.81 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB34, constB35)) | (v95(constB35) <=> (~((~v96(constB35)) | (~v1(constB35))))))),
% 8.28/5.81 inference(quant_inst,[status(thm)],[])).
% 8.28/5.81 tff(8184,plain,
% 8.28/5.81 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB34, constB35)) | (v95(constB35) <=> (~((~v1(constB35)) | (~v96(constB35)))))),
% 8.28/5.81 inference(modus_ponens,[status(thm)],[8183, 8182])).
% 8.28/5.81 tff(8185,plain,
% 8.28/5.81 (v95(constB35) <=> (~((~v1(constB35)) | (~v96(constB35))))),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[8184, 8174, 795])).
% 8.28/5.81 tff(8186,plain,
% 8.28/5.81 (((~v1(constB35)) | (~v96(constB35))) | v1(constB35)),
% 8.28/5.81 inference(tautology,[status(thm)],[])).
% 8.28/5.81 tff(8187,plain,
% 8.28/5.81 ((~v1(constB35)) | (~v96(constB35))),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[8186, 8139])).
% 8.28/5.81 tff(8188,plain,
% 8.28/5.81 ((~(v95(constB35) <=> (~((~v1(constB35)) | (~v96(constB35)))))) | (~v95(constB35)) | (~((~v1(constB35)) | (~v96(constB35))))),
% 8.28/5.81 inference(tautology,[status(thm)],[])).
% 8.28/5.81 tff(8189,plain,
% 8.28/5.81 ((~(v95(constB35) <=> (~((~v1(constB35)) | (~v96(constB35)))))) | (~v95(constB35))),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[8188, 8187])).
% 8.28/5.81 tff(8190,plain,
% 8.28/5.81 (~v95(constB35)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[8189, 8185])).
% 8.28/5.81 tff(8191,plain,
% 8.28/5.81 (((~v104(constB35)) | (~v95(constB35))) | v95(constB35)),
% 8.28/5.81 inference(tautology,[status(thm)],[])).
% 8.28/5.81 tff(8192,plain,
% 8.28/5.81 ((~v104(constB35)) | (~v95(constB35))),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[8191, 8190])).
% 8.28/5.81 tff(8193,plain,
% 8.28/5.81 ((~(v94(constB35) <=> (~((~v104(constB35)) | (~v95(constB35)))))) | (~v94(constB35)) | (~((~v104(constB35)) | (~v95(constB35))))),
% 8.28/5.81 inference(tautology,[status(thm)],[])).
% 8.28/5.81 tff(8194,plain,
% 8.28/5.81 (~v94(constB35)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[8193, 8192, 8178])).
% 8.28/5.81 tff(8195,plain,
% 8.28/5.81 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB35) | (~nextState(constB34, constB35)) | ![B: $i] : ((~less_3(B)) | (v84(constB35, B) <=> v84(constB34, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB35) | (~nextState(constB34, constB35)) | ![B: $i] : ((~less_3(B)) | (v84(constB35, B) <=> v84(constB34, B))))),
% 8.28/5.81 inference(rewrite,[status(thm)],[])).
% 8.28/5.81 tff(8196,plain,
% 8.28/5.81 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB35) | (~nextState(constB34, constB35)) | ![B: $i] : ((~less_3(B)) | (v84(constB35, B) <=> v84(constB34, B))))),
% 8.28/5.81 inference(quant_inst,[status(thm)],[])).
% 8.28/5.81 tff(8197,plain,
% 8.28/5.81 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB35) | (~nextState(constB34, constB35)) | ![B: $i] : ((~less_3(B)) | (v84(constB35, B) <=> v84(constB34, B)))),
% 8.28/5.81 inference(modus_ponens,[status(thm)],[8196, 8195])).
% 8.28/5.81 tff(8198,plain,
% 8.28/5.81 (v94(constB35) | ![B: $i] : ((~less_3(B)) | (v84(constB35, B) <=> v84(constB34, B)))),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[8197, 8174, 824])).
% 8.28/5.81 tff(8199,plain,
% 8.28/5.81 (![B: $i] : ((~less_3(B)) | (v84(constB35, B) <=> v84(constB34, B)))),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[8198, 8194])).
% 8.28/5.81 tff(8200,plain,
% 8.28/5.81 (((~![B: $i] : ((~less_3(B)) | (v84(constB35, B) <=> v84(constB34, B)))) | ((~less_3(bitIndex2)) | (v84(constB35, bitIndex2) <=> v84(constB34, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB35, B) <=> v84(constB34, B)))) | (~less_3(bitIndex2)) | (v84(constB35, bitIndex2) <=> v84(constB34, bitIndex2)))),
% 8.28/5.81 inference(rewrite,[status(thm)],[])).
% 8.28/5.81 tff(8201,plain,
% 8.28/5.81 ((~![B: $i] : ((~less_3(B)) | (v84(constB35, B) <=> v84(constB34, B)))) | ((~less_3(bitIndex2)) | (v84(constB35, bitIndex2) <=> v84(constB34, bitIndex2)))),
% 8.28/5.81 inference(quant_inst,[status(thm)],[])).
% 8.28/5.81 tff(8202,plain,
% 8.28/5.81 ((~![B: $i] : ((~less_3(B)) | (v84(constB35, B) <=> v84(constB34, B)))) | (~less_3(bitIndex2)) | (v84(constB35, bitIndex2) <=> v84(constB34, bitIndex2))),
% 8.28/5.81 inference(modus_ponens,[status(thm)],[8201, 8200])).
% 8.28/5.81 tff(8203,plain,
% 8.28/5.81 (v84(constB35, bitIndex2) <=> v84(constB34, bitIndex2)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[8202, 832, 8199])).
% 8.28/5.81 tff(8204,plain,
% 8.28/5.81 (nextState(constB33, constB34) <=> nextState(constB33, constB34)),
% 8.28/5.81 inference(rewrite,[status(thm)],[])).
% 8.28/5.81 tff(8205,axiom,(nextState(constB33, constB34)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_33')).
% 8.28/5.81 tff(8206,plain,
% 8.28/5.81 (nextState(constB33, constB34)),
% 8.28/5.81 inference(modus_ponens,[status(thm)],[8205, 8204])).
% 8.28/5.81 tff(8207,plain,
% 8.28/5.81 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB33, constB34)) | (v94(constB34) <=> (~((~v104(constB34)) | (~v95(constB34))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB33, constB34)) | (v94(constB34) <=> (~((~v104(constB34)) | (~v95(constB34))))))),
% 8.28/5.81 inference(rewrite,[status(thm)],[])).
% 8.28/5.81 tff(8208,plain,
% 8.28/5.81 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB33, constB34)) | (v94(constB34) <=> (~((~v104(constB34)) | (~v95(constB34))))))),
% 8.28/5.81 inference(quant_inst,[status(thm)],[])).
% 8.28/5.81 tff(8209,plain,
% 8.28/5.81 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB33, constB34)) | (v94(constB34) <=> (~((~v104(constB34)) | (~v95(constB34)))))),
% 8.28/5.81 inference(modus_ponens,[status(thm)],[8208, 8207])).
% 8.28/5.81 tff(8210,plain,
% 8.28/5.81 (v94(constB34) <=> (~((~v104(constB34)) | (~v95(constB34))))),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[8209, 8206, 775])).
% 8.28/5.81 tff(8211,plain,
% 8.28/5.81 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB33, constB34)) | (v95(constB34) <=> (~((~v1(constB34)) | (~v96(constB34))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB33, constB34)) | (v95(constB34) <=> (~((~v1(constB34)) | (~v96(constB34))))))),
% 8.28/5.81 inference(rewrite,[status(thm)],[])).
% 8.28/5.81 tff(8212,plain,
% 8.28/5.81 (((~nextState(constB33, constB34)) | (v95(constB34) <=> (~((~v96(constB34)) | (~v1(constB34)))))) <=> ((~nextState(constB33, constB34)) | (v95(constB34) <=> (~((~v1(constB34)) | (~v96(constB34))))))),
% 8.28/5.81 inference(rewrite,[status(thm)],[])).
% 8.28/5.81 tff(8213,plain,
% 8.28/5.81 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB33, constB34)) | (v95(constB34) <=> (~((~v96(constB34)) | (~v1(constB34))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB33, constB34)) | (v95(constB34) <=> (~((~v1(constB34)) | (~v96(constB34)))))))),
% 8.28/5.81 inference(monotonicity,[status(thm)],[8212])).
% 8.28/5.81 tff(8214,plain,
% 8.28/5.81 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB33, constB34)) | (v95(constB34) <=> (~((~v96(constB34)) | (~v1(constB34))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB33, constB34)) | (v95(constB34) <=> (~((~v1(constB34)) | (~v96(constB34))))))),
% 8.28/5.81 inference(transitivity,[status(thm)],[8213, 8211])).
% 8.28/5.81 tff(8215,plain,
% 8.28/5.81 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB33, constB34)) | (v95(constB34) <=> (~((~v96(constB34)) | (~v1(constB34))))))),
% 8.28/5.81 inference(quant_inst,[status(thm)],[])).
% 8.28/5.81 tff(8216,plain,
% 8.28/5.81 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB33, constB34)) | (v95(constB34) <=> (~((~v1(constB34)) | (~v96(constB34)))))),
% 8.28/5.81 inference(modus_ponens,[status(thm)],[8215, 8214])).
% 8.28/5.81 tff(8217,plain,
% 8.28/5.81 (v95(constB34) <=> (~((~v1(constB34)) | (~v96(constB34))))),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[8216, 8206, 795])).
% 8.28/5.81 tff(8218,plain,
% 8.28/5.81 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB33, constB34)) | ((~v96(constB34)) <=> v98(constB34)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB33, constB34)) | ((~v96(constB34)) <=> v98(constB34)))),
% 8.28/5.81 inference(rewrite,[status(thm)],[])).
% 8.28/5.81 tff(8219,plain,
% 8.28/5.81 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB33, constB34)) | ((~v96(constB34)) <=> v98(constB34)))),
% 8.28/5.81 inference(quant_inst,[status(thm)],[])).
% 8.28/5.81 tff(8220,plain,
% 8.28/5.81 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB33, constB34)) | ((~v96(constB34)) <=> v98(constB34))),
% 8.28/5.81 inference(modus_ponens,[status(thm)],[8219, 8218])).
% 8.28/5.81 tff(8221,plain,
% 8.28/5.81 ((~v96(constB34)) <=> v98(constB34)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[8220, 8206, 860])).
% 8.28/5.81 tff(8222,plain,
% 8.28/5.81 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB33, constB34)) | (v98(constB34) <=> v1(constB33)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB33, constB34)) | (v98(constB34) <=> v1(constB33)))),
% 8.28/5.81 inference(rewrite,[status(thm)],[])).
% 8.28/5.81 tff(8223,plain,
% 8.28/5.81 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB33, constB34)) | (v98(constB34) <=> v1(constB33)))),
% 8.28/5.81 inference(quant_inst,[status(thm)],[])).
% 8.28/5.81 tff(8224,plain,
% 8.28/5.81 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB33, constB34)) | (v98(constB34) <=> v1(constB33))),
% 8.28/5.81 inference(modus_ponens,[status(thm)],[8223, 8222])).
% 8.28/5.81 tff(8225,plain,
% 8.28/5.81 (v98(constB34) <=> v1(constB33)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[8224, 8206, 874])).
% 8.28/5.81 tff(8226,plain,
% 8.28/5.81 ((~v1(constB33)) <=> (~v1(constB33))),
% 8.28/5.81 inference(rewrite,[status(thm)],[])).
% 8.28/5.81 tff(8227,axiom,(~v1(constB33)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_33')).
% 8.28/5.81 tff(8228,plain,
% 8.28/5.81 (~v1(constB33)),
% 8.28/5.81 inference(modus_ponens,[status(thm)],[8227, 8226])).
% 8.28/5.81 tff(8229,plain,
% 8.28/5.81 ((~(v98(constB34) <=> v1(constB33))) | (~v98(constB34)) | v1(constB33)),
% 8.28/5.81 inference(tautology,[status(thm)],[])).
% 8.28/5.81 tff(8230,plain,
% 8.28/5.81 ((~(v98(constB34) <=> v1(constB33))) | (~v98(constB34))),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[8229, 8228])).
% 8.28/5.81 tff(8231,plain,
% 8.28/5.81 (~v98(constB34)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[8230, 8225])).
% 8.28/5.81 tff(8232,plain,
% 8.28/5.81 ((~((~v96(constB34)) <=> v98(constB34))) | v96(constB34) | v98(constB34)),
% 8.28/5.81 inference(tautology,[status(thm)],[])).
% 8.28/5.81 tff(8233,plain,
% 8.28/5.81 (v96(constB34)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[8232, 8231, 8221])).
% 8.28/5.81 tff(8234,plain,
% 8.28/5.81 (v1(constB34) <=> v1(constB34)),
% 8.28/5.81 inference(rewrite,[status(thm)],[])).
% 8.28/5.81 tff(8235,axiom,(v1(constB34)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_34')).
% 8.28/5.81 tff(8236,plain,
% 8.28/5.81 (v1(constB34)),
% 8.28/5.81 inference(modus_ponens,[status(thm)],[8235, 8234])).
% 8.28/5.81 tff(8237,plain,
% 8.28/5.81 ((~((~v1(constB34)) | (~v96(constB34)))) | (~v1(constB34)) | (~v96(constB34))),
% 8.28/5.81 inference(tautology,[status(thm)],[])).
% 8.28/5.81 tff(8238,plain,
% 8.28/5.81 ((~((~v1(constB34)) | (~v96(constB34)))) | (~v96(constB34))),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[8237, 8236])).
% 8.28/5.81 tff(8239,plain,
% 8.28/5.81 (~((~v1(constB34)) | (~v96(constB34)))),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[8238, 8233])).
% 8.28/5.81 tff(8240,plain,
% 8.28/5.81 ((~(v95(constB34) <=> (~((~v1(constB34)) | (~v96(constB34)))))) | v95(constB34) | ((~v1(constB34)) | (~v96(constB34)))),
% 8.28/5.81 inference(tautology,[status(thm)],[])).
% 8.28/5.81 tff(8241,plain,
% 8.28/5.81 (v95(constB34)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[8240, 8239, 8217])).
% 8.28/5.81 tff(8242,plain,
% 8.28/5.81 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB33, constB34)) | (v104(constB34) <=> v102(constB33)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB33, constB34)) | (v104(constB34) <=> v102(constB33)))),
% 8.28/5.81 inference(rewrite,[status(thm)],[])).
% 8.28/5.81 tff(8243,plain,
% 8.28/5.81 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB33, constB34)) | (v104(constB34) <=> v102(constB33)))),
% 8.28/5.81 inference(quant_inst,[status(thm)],[])).
% 8.28/5.81 tff(8244,plain,
% 8.28/5.81 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB33, constB34)) | (v104(constB34) <=> v102(constB33))),
% 8.28/5.81 inference(modus_ponens,[status(thm)],[8243, 8242])).
% 8.28/5.81 tff(8245,plain,
% 8.28/5.81 (v104(constB34) <=> v102(constB33)),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[8244, 8206, 904])).
% 8.28/5.81 tff(8246,plain,
% 8.28/5.81 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB33) <=> (v105(constB33) | v106(constB33)))),
% 8.28/5.81 inference(quant_inst,[status(thm)],[])).
% 8.28/5.81 tff(8247,plain,
% 8.28/5.81 (v102(constB33) <=> (v105(constB33) | v106(constB33))),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[8246, 915])).
% 8.28/5.81 tff(8248,plain,
% 8.28/5.81 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB33) <=> (~((~v107(constB33)) | (~v120(constB33)))))),
% 8.28/5.81 inference(quant_inst,[status(thm)],[])).
% 8.28/5.81 tff(8249,plain,
% 8.28/5.81 (v106(constB33) <=> (~((~v107(constB33)) | (~v120(constB33))))),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[8248, 927])).
% 8.28/5.81 tff(8250,plain,
% 8.28/5.81 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB33) <=> (v108(constB33) | v119(constB33)))),
% 8.28/5.81 inference(quant_inst,[status(thm)],[])).
% 8.28/5.81 tff(8251,plain,
% 8.28/5.81 (v107(constB33) <=> (v108(constB33) | v119(constB33))),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[8250, 936])).
% 8.28/5.81 tff(8252,plain,
% 8.28/5.81 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB33) <=> (v109(constB33) | v118(constB33)))),
% 8.28/5.81 inference(quant_inst,[status(thm)],[])).
% 8.28/5.81 tff(8253,plain,
% 8.28/5.81 (v108(constB33) <=> (v109(constB33) | v118(constB33))),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[8252, 945])).
% 8.28/5.81 tff(8254,plain,
% 8.28/5.81 ((~![VarCurr: $i] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB33) <=> (v110(constB33) | v117(constB33)))),
% 8.28/5.81 inference(quant_inst,[status(thm)],[])).
% 8.28/5.81 tff(8255,plain,
% 8.28/5.81 (v109(constB33) <=> (v110(constB33) | v117(constB33))),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[8254, 1056])).
% 8.28/5.81 tff(8256,plain,
% 8.28/5.81 (((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB33) <=> (~((~v84(constB33, bitIndex2)) | v84(constB33, bitIndex1) | v84(constB33, bitIndex0))))) <=> ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB33) <=> (~((~v84(constB33, bitIndex2)) | v84(constB33, bitIndex1) | v84(constB33, bitIndex0)))))),
% 8.28/5.81 inference(rewrite,[status(thm)],[])).
% 8.28/5.81 tff(8257,plain,
% 8.28/5.81 ((v117(constB33) <=> (~(v84(constB33, bitIndex0) | v84(constB33, bitIndex1) | (~v84(constB33, bitIndex2))))) <=> (v117(constB33) <=> (~((~v84(constB33, bitIndex2)) | v84(constB33, bitIndex1) | v84(constB33, bitIndex0))))),
% 8.28/5.81 inference(rewrite,[status(thm)],[])).
% 8.28/5.81 tff(8258,plain,
% 8.28/5.81 (((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB33) <=> (~(v84(constB33, bitIndex0) | v84(constB33, bitIndex1) | (~v84(constB33, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB33) <=> (~((~v84(constB33, bitIndex2)) | v84(constB33, bitIndex1) | v84(constB33, bitIndex0)))))),
% 8.28/5.81 inference(monotonicity,[status(thm)],[8257])).
% 8.28/5.81 tff(8259,plain,
% 8.28/5.81 (((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB33) <=> (~(v84(constB33, bitIndex0) | v84(constB33, bitIndex1) | (~v84(constB33, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB33) <=> (~((~v84(constB33, bitIndex2)) | v84(constB33, bitIndex1) | v84(constB33, bitIndex0)))))),
% 8.28/5.81 inference(transitivity,[status(thm)],[8258, 8256])).
% 8.28/5.81 tff(8260,plain,
% 8.28/5.81 ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB33) <=> (~(v84(constB33, bitIndex0) | v84(constB33, bitIndex1) | (~v84(constB33, bitIndex2)))))),
% 8.28/5.81 inference(quant_inst,[status(thm)],[])).
% 8.28/5.81 tff(8261,plain,
% 8.28/5.81 ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB33) <=> (~((~v84(constB33, bitIndex2)) | v84(constB33, bitIndex1) | v84(constB33, bitIndex0))))),
% 8.28/5.81 inference(modus_ponens,[status(thm)],[8260, 8259])).
% 8.28/5.81 tff(8262,plain,
% 8.28/5.81 (v117(constB33) <=> (~((~v84(constB33, bitIndex2)) | v84(constB33, bitIndex1) | v84(constB33, bitIndex0)))),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[8261, 1071])).
% 8.28/5.81 tff(8263,plain,
% 8.28/5.81 (nextState(constB32, constB33) <=> nextState(constB32, constB33)),
% 8.28/5.81 inference(rewrite,[status(thm)],[])).
% 8.28/5.81 tff(8264,axiom,(nextState(constB32, constB33)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_32')).
% 8.28/5.81 tff(8265,plain,
% 8.28/5.81 (nextState(constB32, constB33)),
% 8.28/5.81 inference(modus_ponens,[status(thm)],[8264, 8263])).
% 8.28/5.81 tff(8266,plain,
% 8.28/5.81 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB32, constB33)) | (v94(constB33) <=> (~((~v104(constB33)) | (~v95(constB33))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB32, constB33)) | (v94(constB33) <=> (~((~v104(constB33)) | (~v95(constB33))))))),
% 8.28/5.81 inference(rewrite,[status(thm)],[])).
% 8.28/5.81 tff(8267,plain,
% 8.28/5.81 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB32, constB33)) | (v94(constB33) <=> (~((~v104(constB33)) | (~v95(constB33))))))),
% 8.28/5.81 inference(quant_inst,[status(thm)],[])).
% 8.28/5.81 tff(8268,plain,
% 8.28/5.81 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB32, constB33)) | (v94(constB33) <=> (~((~v104(constB33)) | (~v95(constB33)))))),
% 8.28/5.81 inference(modus_ponens,[status(thm)],[8267, 8266])).
% 8.28/5.81 tff(8269,plain,
% 8.28/5.81 (v94(constB33) <=> (~((~v104(constB33)) | (~v95(constB33))))),
% 8.28/5.81 inference(unit_resolution,[status(thm)],[8268, 8265, 775])).
% 8.28/5.81 tff(8270,plain,
% 8.28/5.81 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB32, constB33)) | (v95(constB33) <=> (~((~v1(constB33)) | (~v96(constB33))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB32, constB33)) | (v95(constB33) <=> (~((~v1(constB33)) | (~v96(constB33))))))),
% 8.28/5.82 inference(rewrite,[status(thm)],[])).
% 8.28/5.82 tff(8271,plain,
% 8.28/5.82 (((~nextState(constB32, constB33)) | (v95(constB33) <=> (~((~v96(constB33)) | (~v1(constB33)))))) <=> ((~nextState(constB32, constB33)) | (v95(constB33) <=> (~((~v1(constB33)) | (~v96(constB33))))))),
% 8.28/5.82 inference(rewrite,[status(thm)],[])).
% 8.28/5.82 tff(8272,plain,
% 8.28/5.82 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB32, constB33)) | (v95(constB33) <=> (~((~v96(constB33)) | (~v1(constB33))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB32, constB33)) | (v95(constB33) <=> (~((~v1(constB33)) | (~v96(constB33)))))))),
% 8.28/5.82 inference(monotonicity,[status(thm)],[8271])).
% 8.28/5.82 tff(8273,plain,
% 8.28/5.82 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB32, constB33)) | (v95(constB33) <=> (~((~v96(constB33)) | (~v1(constB33))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB32, constB33)) | (v95(constB33) <=> (~((~v1(constB33)) | (~v96(constB33))))))),
% 8.28/5.82 inference(transitivity,[status(thm)],[8272, 8270])).
% 8.28/5.82 tff(8274,plain,
% 8.28/5.82 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB32, constB33)) | (v95(constB33) <=> (~((~v96(constB33)) | (~v1(constB33))))))),
% 8.28/5.82 inference(quant_inst,[status(thm)],[])).
% 8.28/5.82 tff(8275,plain,
% 8.28/5.82 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB32, constB33)) | (v95(constB33) <=> (~((~v1(constB33)) | (~v96(constB33)))))),
% 8.28/5.82 inference(modus_ponens,[status(thm)],[8274, 8273])).
% 8.28/5.82 tff(8276,plain,
% 8.28/5.82 (v95(constB33) <=> (~((~v1(constB33)) | (~v96(constB33))))),
% 8.28/5.82 inference(unit_resolution,[status(thm)],[8275, 8265, 795])).
% 8.28/5.82 tff(8277,plain,
% 8.28/5.82 (((~v1(constB33)) | (~v96(constB33))) | v1(constB33)),
% 8.28/5.82 inference(tautology,[status(thm)],[])).
% 8.28/5.82 tff(8278,plain,
% 8.28/5.82 ((~v1(constB33)) | (~v96(constB33))),
% 8.28/5.82 inference(unit_resolution,[status(thm)],[8277, 8228])).
% 8.28/5.82 tff(8279,plain,
% 8.28/5.82 ((~(v95(constB33) <=> (~((~v1(constB33)) | (~v96(constB33)))))) | (~v95(constB33)) | (~((~v1(constB33)) | (~v96(constB33))))),
% 8.28/5.82 inference(tautology,[status(thm)],[])).
% 8.28/5.82 tff(8280,plain,
% 8.28/5.82 ((~(v95(constB33) <=> (~((~v1(constB33)) | (~v96(constB33)))))) | (~v95(constB33))),
% 8.28/5.82 inference(unit_resolution,[status(thm)],[8279, 8278])).
% 8.28/5.82 tff(8281,plain,
% 8.28/5.82 (~v95(constB33)),
% 8.28/5.82 inference(unit_resolution,[status(thm)],[8280, 8276])).
% 8.28/5.82 tff(8282,plain,
% 8.28/5.82 (((~v104(constB33)) | (~v95(constB33))) | v95(constB33)),
% 8.28/5.82 inference(tautology,[status(thm)],[])).
% 8.28/5.82 tff(8283,plain,
% 8.28/5.82 ((~v104(constB33)) | (~v95(constB33))),
% 8.28/5.82 inference(unit_resolution,[status(thm)],[8282, 8281])).
% 8.28/5.82 tff(8284,plain,
% 8.28/5.82 ((~(v94(constB33) <=> (~((~v104(constB33)) | (~v95(constB33)))))) | (~v94(constB33)) | (~((~v104(constB33)) | (~v95(constB33))))),
% 8.28/5.82 inference(tautology,[status(thm)],[])).
% 8.28/5.82 tff(8285,plain,
% 8.28/5.82 (~v94(constB33)),
% 8.28/5.82 inference(unit_resolution,[status(thm)],[8284, 8283, 8269])).
% 8.28/5.82 tff(8286,plain,
% 8.28/5.82 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB33) | (~nextState(constB32, constB33)) | ![B: $i] : ((~less_3(B)) | (v84(constB33, B) <=> v84(constB32, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB33) | (~nextState(constB32, constB33)) | ![B: $i] : ((~less_3(B)) | (v84(constB33, B) <=> v84(constB32, B))))),
% 8.28/5.82 inference(rewrite,[status(thm)],[])).
% 8.28/5.82 tff(8287,plain,
% 8.28/5.82 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB33) | (~nextState(constB32, constB33)) | ![B: $i] : ((~less_3(B)) | (v84(constB33, B) <=> v84(constB32, B))))),
% 8.28/5.82 inference(quant_inst,[status(thm)],[])).
% 8.28/5.82 tff(8288,plain,
% 8.28/5.82 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB33) | (~nextState(constB32, constB33)) | ![B: $i] : ((~less_3(B)) | (v84(constB33, B) <=> v84(constB32, B)))),
% 8.28/5.82 inference(modus_ponens,[status(thm)],[8287, 8286])).
% 8.28/5.82 tff(8289,plain,
% 8.28/5.82 (v94(constB33) | ![B: $i] : ((~less_3(B)) | (v84(constB33, B) <=> v84(constB32, B)))),
% 8.28/5.82 inference(unit_resolution,[status(thm)],[8288, 8265, 824])).
% 8.28/5.82 tff(8290,plain,
% 8.28/5.82 (![B: $i] : ((~less_3(B)) | (v84(constB33, B) <=> v84(constB32, B)))),
% 8.28/5.82 inference(unit_resolution,[status(thm)],[8289, 8285])).
% 8.28/5.82 tff(8291,plain,
% 8.28/5.82 (((~![B: $i] : ((~less_3(B)) | (v84(constB33, B) <=> v84(constB32, B)))) | ((~less_3(bitIndex2)) | (v84(constB33, bitIndex2) <=> v84(constB32, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB33, B) <=> v84(constB32, B)))) | (~less_3(bitIndex2)) | (v84(constB33, bitIndex2) <=> v84(constB32, bitIndex2)))),
% 8.28/5.82 inference(rewrite,[status(thm)],[])).
% 8.28/5.82 tff(8292,plain,
% 8.28/5.82 ((~![B: $i] : ((~less_3(B)) | (v84(constB33, B) <=> v84(constB32, B)))) | ((~less_3(bitIndex2)) | (v84(constB33, bitIndex2) <=> v84(constB32, bitIndex2)))),
% 8.28/5.82 inference(quant_inst,[status(thm)],[])).
% 8.28/5.82 tff(8293,plain,
% 8.28/5.82 ((~![B: $i] : ((~less_3(B)) | (v84(constB33, B) <=> v84(constB32, B)))) | (~less_3(bitIndex2)) | (v84(constB33, bitIndex2) <=> v84(constB32, bitIndex2))),
% 8.28/5.82 inference(modus_ponens,[status(thm)],[8292, 8291])).
% 8.28/5.82 tff(8294,plain,
% 8.28/5.82 (v84(constB33, bitIndex2) <=> v84(constB32, bitIndex2)),
% 8.28/5.82 inference(unit_resolution,[status(thm)],[8293, 832, 8290])).
% 8.28/5.82 tff(8295,plain,
% 8.28/5.82 (nextState(constB31, constB32) <=> nextState(constB31, constB32)),
% 8.28/5.82 inference(rewrite,[status(thm)],[])).
% 8.28/5.82 tff(8296,axiom,(nextState(constB31, constB32)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_31')).
% 8.28/5.82 tff(8297,plain,
% 8.28/5.82 (nextState(constB31, constB32)),
% 8.28/5.82 inference(modus_ponens,[status(thm)],[8296, 8295])).
% 8.28/5.82 tff(8298,plain,
% 8.28/5.82 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB31, constB32)) | (v94(constB32) <=> (~((~v104(constB32)) | (~v95(constB32))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB31, constB32)) | (v94(constB32) <=> (~((~v104(constB32)) | (~v95(constB32))))))),
% 8.28/5.82 inference(rewrite,[status(thm)],[])).
% 8.28/5.82 tff(8299,plain,
% 8.28/5.82 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB31, constB32)) | (v94(constB32) <=> (~((~v104(constB32)) | (~v95(constB32))))))),
% 8.28/5.82 inference(quant_inst,[status(thm)],[])).
% 8.28/5.82 tff(8300,plain,
% 8.28/5.82 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB31, constB32)) | (v94(constB32) <=> (~((~v104(constB32)) | (~v95(constB32)))))),
% 8.28/5.82 inference(modus_ponens,[status(thm)],[8299, 8298])).
% 8.28/5.82 tff(8301,plain,
% 8.28/5.82 (v94(constB32) <=> (~((~v104(constB32)) | (~v95(constB32))))),
% 8.28/5.82 inference(unit_resolution,[status(thm)],[8300, 8297, 775])).
% 8.28/5.82 tff(8302,plain,
% 8.28/5.82 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB31, constB32)) | (v95(constB32) <=> (~((~v1(constB32)) | (~v96(constB32))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB31, constB32)) | (v95(constB32) <=> (~((~v1(constB32)) | (~v96(constB32))))))),
% 8.28/5.82 inference(rewrite,[status(thm)],[])).
% 8.28/5.82 tff(8303,plain,
% 8.28/5.82 (((~nextState(constB31, constB32)) | (v95(constB32) <=> (~((~v96(constB32)) | (~v1(constB32)))))) <=> ((~nextState(constB31, constB32)) | (v95(constB32) <=> (~((~v1(constB32)) | (~v96(constB32))))))),
% 8.28/5.82 inference(rewrite,[status(thm)],[])).
% 8.28/5.82 tff(8304,plain,
% 8.28/5.82 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB31, constB32)) | (v95(constB32) <=> (~((~v96(constB32)) | (~v1(constB32))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB31, constB32)) | (v95(constB32) <=> (~((~v1(constB32)) | (~v96(constB32)))))))),
% 8.28/5.82 inference(monotonicity,[status(thm)],[8303])).
% 8.28/5.82 tff(8305,plain,
% 8.28/5.82 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB31, constB32)) | (v95(constB32) <=> (~((~v96(constB32)) | (~v1(constB32))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB31, constB32)) | (v95(constB32) <=> (~((~v1(constB32)) | (~v96(constB32))))))),
% 8.28/5.82 inference(transitivity,[status(thm)],[8304, 8302])).
% 8.28/5.82 tff(8306,plain,
% 8.28/5.82 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB31, constB32)) | (v95(constB32) <=> (~((~v96(constB32)) | (~v1(constB32))))))),
% 8.28/5.82 inference(quant_inst,[status(thm)],[])).
% 8.28/5.82 tff(8307,plain,
% 8.28/5.82 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB31, constB32)) | (v95(constB32) <=> (~((~v1(constB32)) | (~v96(constB32)))))),
% 8.28/5.82 inference(modus_ponens,[status(thm)],[8306, 8305])).
% 8.28/5.82 tff(8308,plain,
% 8.28/5.82 (v95(constB32) <=> (~((~v1(constB32)) | (~v96(constB32))))),
% 8.28/5.82 inference(unit_resolution,[status(thm)],[8307, 8297, 795])).
% 8.28/5.82 tff(8309,plain,
% 8.28/5.82 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB31, constB32)) | ((~v96(constB32)) <=> v98(constB32)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB31, constB32)) | ((~v96(constB32)) <=> v98(constB32)))),
% 8.28/5.82 inference(rewrite,[status(thm)],[])).
% 8.28/5.82 tff(8310,plain,
% 8.28/5.82 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB31, constB32)) | ((~v96(constB32)) <=> v98(constB32)))),
% 8.28/5.82 inference(quant_inst,[status(thm)],[])).
% 8.28/5.82 tff(8311,plain,
% 8.28/5.82 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB31, constB32)) | ((~v96(constB32)) <=> v98(constB32))),
% 8.28/5.82 inference(modus_ponens,[status(thm)],[8310, 8309])).
% 8.28/5.82 tff(8312,plain,
% 8.28/5.82 ((~v96(constB32)) <=> v98(constB32)),
% 8.28/5.82 inference(unit_resolution,[status(thm)],[8311, 8297, 860])).
% 8.28/5.82 tff(8313,plain,
% 8.28/5.82 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB31, constB32)) | (v98(constB32) <=> v1(constB31)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB31, constB32)) | (v98(constB32) <=> v1(constB31)))),
% 8.28/5.82 inference(rewrite,[status(thm)],[])).
% 8.28/5.82 tff(8314,plain,
% 8.28/5.82 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB31, constB32)) | (v98(constB32) <=> v1(constB31)))),
% 8.28/5.82 inference(quant_inst,[status(thm)],[])).
% 8.28/5.82 tff(8315,plain,
% 8.28/5.82 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB31, constB32)) | (v98(constB32) <=> v1(constB31))),
% 8.28/5.82 inference(modus_ponens,[status(thm)],[8314, 8313])).
% 8.28/5.82 tff(8316,plain,
% 8.28/5.82 (v98(constB32) <=> v1(constB31)),
% 8.28/5.82 inference(unit_resolution,[status(thm)],[8315, 8297, 874])).
% 8.28/5.82 tff(8317,plain,
% 8.28/5.82 ((~v1(constB31)) <=> (~v1(constB31))),
% 8.28/5.82 inference(rewrite,[status(thm)],[])).
% 8.28/5.82 tff(8318,axiom,(~v1(constB31)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_31')).
% 8.28/5.82 tff(8319,plain,
% 8.28/5.82 (~v1(constB31)),
% 8.28/5.82 inference(modus_ponens,[status(thm)],[8318, 8317])).
% 8.28/5.82 tff(8320,plain,
% 8.28/5.82 ((~(v98(constB32) <=> v1(constB31))) | (~v98(constB32)) | v1(constB31)),
% 8.28/5.82 inference(tautology,[status(thm)],[])).
% 8.28/5.82 tff(8321,plain,
% 8.28/5.82 ((~(v98(constB32) <=> v1(constB31))) | (~v98(constB32))),
% 8.28/5.82 inference(unit_resolution,[status(thm)],[8320, 8319])).
% 8.28/5.82 tff(8322,plain,
% 8.28/5.82 (~v98(constB32)),
% 8.28/5.82 inference(unit_resolution,[status(thm)],[8321, 8316])).
% 8.28/5.82 tff(8323,plain,
% 8.28/5.82 ((~((~v96(constB32)) <=> v98(constB32))) | v96(constB32) | v98(constB32)),
% 8.28/5.82 inference(tautology,[status(thm)],[])).
% 8.28/5.82 tff(8324,plain,
% 8.28/5.82 (v96(constB32)),
% 8.28/5.82 inference(unit_resolution,[status(thm)],[8323, 8322, 8312])).
% 8.28/5.82 tff(8325,plain,
% 8.28/5.82 (v1(constB32) <=> v1(constB32)),
% 8.28/5.82 inference(rewrite,[status(thm)],[])).
% 8.28/5.82 tff(8326,axiom,(v1(constB32)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_32')).
% 8.28/5.82 tff(8327,plain,
% 8.28/5.82 (v1(constB32)),
% 8.28/5.82 inference(modus_ponens,[status(thm)],[8326, 8325])).
% 8.28/5.82 tff(8328,plain,
% 8.28/5.82 ((~((~v1(constB32)) | (~v96(constB32)))) | (~v1(constB32)) | (~v96(constB32))),
% 8.28/5.82 inference(tautology,[status(thm)],[])).
% 8.28/5.82 tff(8329,plain,
% 8.28/5.82 ((~((~v1(constB32)) | (~v96(constB32)))) | (~v96(constB32))),
% 8.28/5.82 inference(unit_resolution,[status(thm)],[8328, 8327])).
% 8.28/5.82 tff(8330,plain,
% 8.28/5.82 (~((~v1(constB32)) | (~v96(constB32)))),
% 8.28/5.82 inference(unit_resolution,[status(thm)],[8329, 8324])).
% 8.28/5.82 tff(8331,plain,
% 8.28/5.82 ((~(v95(constB32) <=> (~((~v1(constB32)) | (~v96(constB32)))))) | v95(constB32) | ((~v1(constB32)) | (~v96(constB32)))),
% 8.28/5.82 inference(tautology,[status(thm)],[])).
% 8.28/5.82 tff(8332,plain,
% 8.28/5.82 (v95(constB32)),
% 8.28/5.82 inference(unit_resolution,[status(thm)],[8331, 8330, 8308])).
% 8.28/5.82 tff(8333,plain,
% 8.28/5.82 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB31, constB32)) | (v104(constB32) <=> v102(constB31)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB31, constB32)) | (v104(constB32) <=> v102(constB31)))),
% 8.28/5.82 inference(rewrite,[status(thm)],[])).
% 8.28/5.82 tff(8334,plain,
% 8.28/5.82 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB31, constB32)) | (v104(constB32) <=> v102(constB31)))),
% 8.28/5.82 inference(quant_inst,[status(thm)],[])).
% 8.28/5.82 tff(8335,plain,
% 8.28/5.82 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB31, constB32)) | (v104(constB32) <=> v102(constB31))),
% 8.28/5.82 inference(modus_ponens,[status(thm)],[8334, 8333])).
% 8.28/5.82 tff(8336,plain,
% 8.28/5.82 (v104(constB32) <=> v102(constB31)),
% 8.28/5.82 inference(unit_resolution,[status(thm)],[8335, 8297, 904])).
% 8.28/5.82 tff(8337,plain,
% 8.28/5.82 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB31) <=> (v105(constB31) | v106(constB31)))),
% 8.28/5.82 inference(quant_inst,[status(thm)],[])).
% 8.28/5.82 tff(8338,plain,
% 8.28/5.82 (v102(constB31) <=> (v105(constB31) | v106(constB31))),
% 8.28/5.82 inference(unit_resolution,[status(thm)],[8337, 915])).
% 8.28/5.82 tff(8339,plain,
% 8.28/5.82 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB31) <=> (~((~v107(constB31)) | (~v120(constB31)))))),
% 8.28/5.82 inference(quant_inst,[status(thm)],[])).
% 8.28/5.82 tff(8340,plain,
% 8.28/5.82 (v106(constB31) <=> (~((~v107(constB31)) | (~v120(constB31))))),
% 8.28/5.82 inference(unit_resolution,[status(thm)],[8339, 927])).
% 8.28/5.82 tff(8341,plain,
% 8.28/5.82 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB31) <=> (v108(constB31) | v119(constB31)))),
% 8.28/5.82 inference(quant_inst,[status(thm)],[])).
% 8.28/5.82 tff(8342,plain,
% 8.28/5.82 (v107(constB31) <=> (v108(constB31) | v119(constB31))),
% 8.28/5.82 inference(unit_resolution,[status(thm)],[8341, 936])).
% 8.28/5.82 tff(8343,plain,
% 8.28/5.82 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB31) <=> (v109(constB31) | v118(constB31)))),
% 8.28/5.82 inference(quant_inst,[status(thm)],[])).
% 8.28/5.82 tff(8344,plain,
% 8.28/5.82 (v108(constB31) <=> (v109(constB31) | v118(constB31))),
% 8.28/5.82 inference(unit_resolution,[status(thm)],[8343, 945])).
% 8.28/5.82 tff(8345,plain,
% 8.28/5.82 ((~![VarCurr: $i] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB31) <=> (v110(constB31) | v117(constB31)))),
% 8.28/5.82 inference(quant_inst,[status(thm)],[])).
% 8.28/5.82 tff(8346,plain,
% 8.28/5.82 (v109(constB31) <=> (v110(constB31) | v117(constB31))),
% 8.28/5.82 inference(unit_resolution,[status(thm)],[8345, 1056])).
% 8.28/5.82 tff(8347,plain,
% 8.28/5.82 ((~![VarCurr: $i] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB31) <=> (v111(constB31) | v116(constB31)))),
% 8.28/5.82 inference(quant_inst,[status(thm)],[])).
% 8.28/5.82 tff(8348,plain,
% 8.28/5.82 (v110(constB31) <=> (v111(constB31) | v116(constB31))),
% 8.28/5.82 inference(unit_resolution,[status(thm)],[8347, 1169])).
% 8.28/5.82 tff(8349,plain,
% 8.28/5.82 ((~![VarCurr: $i] : (v116(VarCurr) <=> (~(v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex0)))))) | (v116(constB31) <=> (~(v84(constB31, bitIndex2) | (~v84(constB31, bitIndex1)) | (~v84(constB31, bitIndex0)))))),
% 8.28/5.82 inference(quant_inst,[status(thm)],[])).
% 8.28/5.82 tff(8350,plain,
% 8.28/5.82 (v116(constB31) <=> (~(v84(constB31, bitIndex2) | (~v84(constB31, bitIndex1)) | (~v84(constB31, bitIndex0))))),
% 8.28/5.82 inference(unit_resolution,[status(thm)],[8349, 1184])).
% 8.28/5.82 tff(8351,plain,
% 8.28/5.82 (nextState(constB30, constB31) <=> nextState(constB30, constB31)),
% 8.28/5.82 inference(rewrite,[status(thm)],[])).
% 8.28/5.82 tff(8352,axiom,(nextState(constB30, constB31)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_30')).
% 8.28/5.82 tff(8353,plain,
% 8.28/5.82 (nextState(constB30, constB31)),
% 8.28/5.82 inference(modus_ponens,[status(thm)],[8352, 8351])).
% 8.28/5.82 tff(8354,plain,
% 8.28/5.82 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB30, constB31)) | (v94(constB31) <=> (~((~v104(constB31)) | (~v95(constB31))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB30, constB31)) | (v94(constB31) <=> (~((~v104(constB31)) | (~v95(constB31))))))),
% 8.31/5.82 inference(rewrite,[status(thm)],[])).
% 8.31/5.82 tff(8355,plain,
% 8.31/5.82 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB30, constB31)) | (v94(constB31) <=> (~((~v104(constB31)) | (~v95(constB31))))))),
% 8.31/5.82 inference(quant_inst,[status(thm)],[])).
% 8.31/5.82 tff(8356,plain,
% 8.31/5.82 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB30, constB31)) | (v94(constB31) <=> (~((~v104(constB31)) | (~v95(constB31)))))),
% 8.31/5.82 inference(modus_ponens,[status(thm)],[8355, 8354])).
% 8.31/5.82 tff(8357,plain,
% 8.31/5.82 (v94(constB31) <=> (~((~v104(constB31)) | (~v95(constB31))))),
% 8.31/5.82 inference(unit_resolution,[status(thm)],[8356, 8353, 775])).
% 8.31/5.82 tff(8358,plain,
% 8.31/5.82 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB30, constB31)) | (v95(constB31) <=> (~((~v1(constB31)) | (~v96(constB31))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB30, constB31)) | (v95(constB31) <=> (~((~v1(constB31)) | (~v96(constB31))))))),
% 8.31/5.82 inference(rewrite,[status(thm)],[])).
% 8.31/5.82 tff(8359,plain,
% 8.31/5.82 (((~nextState(constB30, constB31)) | (v95(constB31) <=> (~((~v96(constB31)) | (~v1(constB31)))))) <=> ((~nextState(constB30, constB31)) | (v95(constB31) <=> (~((~v1(constB31)) | (~v96(constB31))))))),
% 8.31/5.82 inference(rewrite,[status(thm)],[])).
% 8.31/5.82 tff(8360,plain,
% 8.31/5.82 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB30, constB31)) | (v95(constB31) <=> (~((~v96(constB31)) | (~v1(constB31))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB30, constB31)) | (v95(constB31) <=> (~((~v1(constB31)) | (~v96(constB31)))))))),
% 8.31/5.82 inference(monotonicity,[status(thm)],[8359])).
% 8.31/5.82 tff(8361,plain,
% 8.31/5.82 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB30, constB31)) | (v95(constB31) <=> (~((~v96(constB31)) | (~v1(constB31))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB30, constB31)) | (v95(constB31) <=> (~((~v1(constB31)) | (~v96(constB31))))))),
% 8.31/5.82 inference(transitivity,[status(thm)],[8360, 8358])).
% 8.31/5.82 tff(8362,plain,
% 8.31/5.82 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB30, constB31)) | (v95(constB31) <=> (~((~v96(constB31)) | (~v1(constB31))))))),
% 8.31/5.82 inference(quant_inst,[status(thm)],[])).
% 8.31/5.82 tff(8363,plain,
% 8.31/5.82 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB30, constB31)) | (v95(constB31) <=> (~((~v1(constB31)) | (~v96(constB31)))))),
% 8.31/5.82 inference(modus_ponens,[status(thm)],[8362, 8361])).
% 8.31/5.82 tff(8364,plain,
% 8.31/5.82 (v95(constB31) <=> (~((~v1(constB31)) | (~v96(constB31))))),
% 8.31/5.82 inference(unit_resolution,[status(thm)],[8363, 8353, 795])).
% 8.31/5.82 tff(8365,plain,
% 8.31/5.82 (((~v1(constB31)) | (~v96(constB31))) | v1(constB31)),
% 8.31/5.82 inference(tautology,[status(thm)],[])).
% 8.31/5.82 tff(8366,plain,
% 8.31/5.82 ((~v1(constB31)) | (~v96(constB31))),
% 8.31/5.82 inference(unit_resolution,[status(thm)],[8365, 8319])).
% 8.31/5.82 tff(8367,plain,
% 8.31/5.82 ((~(v95(constB31) <=> (~((~v1(constB31)) | (~v96(constB31)))))) | (~v95(constB31)) | (~((~v1(constB31)) | (~v96(constB31))))),
% 8.31/5.82 inference(tautology,[status(thm)],[])).
% 8.31/5.82 tff(8368,plain,
% 8.31/5.82 ((~(v95(constB31) <=> (~((~v1(constB31)) | (~v96(constB31)))))) | (~v95(constB31))),
% 8.31/5.82 inference(unit_resolution,[status(thm)],[8367, 8366])).
% 8.31/5.82 tff(8369,plain,
% 8.31/5.82 (~v95(constB31)),
% 8.31/5.82 inference(unit_resolution,[status(thm)],[8368, 8364])).
% 8.31/5.82 tff(8370,plain,
% 8.31/5.82 (((~v104(constB31)) | (~v95(constB31))) | v95(constB31)),
% 8.31/5.82 inference(tautology,[status(thm)],[])).
% 8.31/5.82 tff(8371,plain,
% 8.31/5.82 ((~v104(constB31)) | (~v95(constB31))),
% 8.31/5.82 inference(unit_resolution,[status(thm)],[8370, 8369])).
% 8.31/5.82 tff(8372,plain,
% 8.31/5.82 ((~(v94(constB31) <=> (~((~v104(constB31)) | (~v95(constB31)))))) | (~v94(constB31)) | (~((~v104(constB31)) | (~v95(constB31))))),
% 8.31/5.82 inference(tautology,[status(thm)],[])).
% 8.31/5.82 tff(8373,plain,
% 8.31/5.82 (~v94(constB31)),
% 8.31/5.82 inference(unit_resolution,[status(thm)],[8372, 8371, 8357])).
% 8.31/5.82 tff(8374,plain,
% 8.31/5.82 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB31) | (~nextState(constB30, constB31)) | ![B: $i] : ((~less_3(B)) | (v84(constB31, B) <=> v84(constB30, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB31) | (~nextState(constB30, constB31)) | ![B: $i] : ((~less_3(B)) | (v84(constB31, B) <=> v84(constB30, B))))),
% 8.31/5.82 inference(rewrite,[status(thm)],[])).
% 8.31/5.82 tff(8375,plain,
% 8.31/5.82 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB31) | (~nextState(constB30, constB31)) | ![B: $i] : ((~less_3(B)) | (v84(constB31, B) <=> v84(constB30, B))))),
% 8.31/5.82 inference(quant_inst,[status(thm)],[])).
% 8.31/5.82 tff(8376,plain,
% 8.31/5.82 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB31) | (~nextState(constB30, constB31)) | ![B: $i] : ((~less_3(B)) | (v84(constB31, B) <=> v84(constB30, B)))),
% 8.31/5.82 inference(modus_ponens,[status(thm)],[8375, 8374])).
% 8.31/5.82 tff(8377,plain,
% 8.31/5.82 (v94(constB31) | ![B: $i] : ((~less_3(B)) | (v84(constB31, B) <=> v84(constB30, B)))),
% 8.31/5.82 inference(unit_resolution,[status(thm)],[8376, 8353, 824])).
% 8.31/5.82 tff(8378,plain,
% 8.31/5.82 (![B: $i] : ((~less_3(B)) | (v84(constB31, B) <=> v84(constB30, B)))),
% 8.31/5.82 inference(unit_resolution,[status(thm)],[8377, 8373])).
% 8.31/5.82 tff(8379,plain,
% 8.31/5.82 (((~![B: $i] : ((~less_3(B)) | (v84(constB31, B) <=> v84(constB30, B)))) | ((~less_3(bitIndex2)) | (v84(constB31, bitIndex2) <=> v84(constB30, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB31, B) <=> v84(constB30, B)))) | (~less_3(bitIndex2)) | (v84(constB31, bitIndex2) <=> v84(constB30, bitIndex2)))),
% 8.31/5.82 inference(rewrite,[status(thm)],[])).
% 8.31/5.82 tff(8380,plain,
% 8.31/5.82 ((~![B: $i] : ((~less_3(B)) | (v84(constB31, B) <=> v84(constB30, B)))) | ((~less_3(bitIndex2)) | (v84(constB31, bitIndex2) <=> v84(constB30, bitIndex2)))),
% 8.31/5.82 inference(quant_inst,[status(thm)],[])).
% 8.31/5.82 tff(8381,plain,
% 8.31/5.82 ((~![B: $i] : ((~less_3(B)) | (v84(constB31, B) <=> v84(constB30, B)))) | (~less_3(bitIndex2)) | (v84(constB31, bitIndex2) <=> v84(constB30, bitIndex2))),
% 8.31/5.82 inference(modus_ponens,[status(thm)],[8380, 8379])).
% 8.31/5.82 tff(8382,plain,
% 8.31/5.82 (v84(constB31, bitIndex2) <=> v84(constB30, bitIndex2)),
% 8.31/5.82 inference(unit_resolution,[status(thm)],[8381, 832, 8378])).
% 8.31/5.82 tff(8383,plain,
% 8.31/5.82 (nextState(constB29, constB30) <=> nextState(constB29, constB30)),
% 8.31/5.82 inference(rewrite,[status(thm)],[])).
% 8.31/5.82 tff(8384,axiom,(nextState(constB29, constB30)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_29')).
% 8.31/5.82 tff(8385,plain,
% 8.31/5.82 (nextState(constB29, constB30)),
% 8.31/5.82 inference(modus_ponens,[status(thm)],[8384, 8383])).
% 8.31/5.82 tff(8386,plain,
% 8.31/5.82 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB29, constB30)) | (v94(constB30) <=> (~((~v104(constB30)) | (~v95(constB30))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB29, constB30)) | (v94(constB30) <=> (~((~v104(constB30)) | (~v95(constB30))))))),
% 8.31/5.82 inference(rewrite,[status(thm)],[])).
% 8.31/5.82 tff(8387,plain,
% 8.31/5.82 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB29, constB30)) | (v94(constB30) <=> (~((~v104(constB30)) | (~v95(constB30))))))),
% 8.31/5.82 inference(quant_inst,[status(thm)],[])).
% 8.31/5.82 tff(8388,plain,
% 8.31/5.82 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB29, constB30)) | (v94(constB30) <=> (~((~v104(constB30)) | (~v95(constB30)))))),
% 8.31/5.82 inference(modus_ponens,[status(thm)],[8387, 8386])).
% 8.31/5.82 tff(8389,plain,
% 8.31/5.82 (v94(constB30) <=> (~((~v104(constB30)) | (~v95(constB30))))),
% 8.31/5.82 inference(unit_resolution,[status(thm)],[8388, 8385, 775])).
% 8.31/5.82 tff(8390,plain,
% 8.31/5.82 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB29, constB30)) | (v95(constB30) <=> (~((~v1(constB30)) | (~v96(constB30))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB29, constB30)) | (v95(constB30) <=> (~((~v1(constB30)) | (~v96(constB30))))))),
% 8.31/5.82 inference(rewrite,[status(thm)],[])).
% 8.31/5.82 tff(8391,plain,
% 8.31/5.82 (((~nextState(constB29, constB30)) | (v95(constB30) <=> (~((~v96(constB30)) | (~v1(constB30)))))) <=> ((~nextState(constB29, constB30)) | (v95(constB30) <=> (~((~v1(constB30)) | (~v96(constB30))))))),
% 8.31/5.82 inference(rewrite,[status(thm)],[])).
% 8.31/5.82 tff(8392,plain,
% 8.31/5.82 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB29, constB30)) | (v95(constB30) <=> (~((~v96(constB30)) | (~v1(constB30))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB29, constB30)) | (v95(constB30) <=> (~((~v1(constB30)) | (~v96(constB30)))))))),
% 8.31/5.82 inference(monotonicity,[status(thm)],[8391])).
% 8.31/5.82 tff(8393,plain,
% 8.31/5.82 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB29, constB30)) | (v95(constB30) <=> (~((~v96(constB30)) | (~v1(constB30))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB29, constB30)) | (v95(constB30) <=> (~((~v1(constB30)) | (~v96(constB30))))))),
% 8.31/5.82 inference(transitivity,[status(thm)],[8392, 8390])).
% 8.31/5.82 tff(8394,plain,
% 8.31/5.82 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB29, constB30)) | (v95(constB30) <=> (~((~v96(constB30)) | (~v1(constB30))))))),
% 8.31/5.82 inference(quant_inst,[status(thm)],[])).
% 8.31/5.82 tff(8395,plain,
% 8.31/5.82 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB29, constB30)) | (v95(constB30) <=> (~((~v1(constB30)) | (~v96(constB30)))))),
% 8.31/5.82 inference(modus_ponens,[status(thm)],[8394, 8393])).
% 8.31/5.82 tff(8396,plain,
% 8.31/5.82 (v95(constB30) <=> (~((~v1(constB30)) | (~v96(constB30))))),
% 8.31/5.82 inference(unit_resolution,[status(thm)],[8395, 8385, 795])).
% 8.31/5.82 tff(8397,plain,
% 8.31/5.82 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB29, constB30)) | ((~v96(constB30)) <=> v98(constB30)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB29, constB30)) | ((~v96(constB30)) <=> v98(constB30)))),
% 8.31/5.82 inference(rewrite,[status(thm)],[])).
% 8.31/5.82 tff(8398,plain,
% 8.31/5.82 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB29, constB30)) | ((~v96(constB30)) <=> v98(constB30)))),
% 8.31/5.82 inference(quant_inst,[status(thm)],[])).
% 8.31/5.82 tff(8399,plain,
% 8.31/5.82 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB29, constB30)) | ((~v96(constB30)) <=> v98(constB30))),
% 8.31/5.82 inference(modus_ponens,[status(thm)],[8398, 8397])).
% 8.31/5.82 tff(8400,plain,
% 8.31/5.82 ((~v96(constB30)) <=> v98(constB30)),
% 8.31/5.82 inference(unit_resolution,[status(thm)],[8399, 8385, 860])).
% 8.31/5.82 tff(8401,plain,
% 8.31/5.82 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB29, constB30)) | (v98(constB30) <=> v1(constB29)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB29, constB30)) | (v98(constB30) <=> v1(constB29)))),
% 8.31/5.82 inference(rewrite,[status(thm)],[])).
% 8.31/5.82 tff(8402,plain,
% 8.31/5.82 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB29, constB30)) | (v98(constB30) <=> v1(constB29)))),
% 8.31/5.82 inference(quant_inst,[status(thm)],[])).
% 8.31/5.82 tff(8403,plain,
% 8.31/5.82 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB29, constB30)) | (v98(constB30) <=> v1(constB29))),
% 8.31/5.82 inference(modus_ponens,[status(thm)],[8402, 8401])).
% 8.31/5.82 tff(8404,plain,
% 8.31/5.82 (v98(constB30) <=> v1(constB29)),
% 8.31/5.82 inference(unit_resolution,[status(thm)],[8403, 8385, 874])).
% 8.31/5.82 tff(8405,plain,
% 8.31/5.82 ((~v1(constB29)) <=> (~v1(constB29))),
% 8.31/5.82 inference(rewrite,[status(thm)],[])).
% 8.31/5.82 tff(8406,axiom,(~v1(constB29)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_29')).
% 8.31/5.82 tff(8407,plain,
% 8.31/5.82 (~v1(constB29)),
% 8.31/5.82 inference(modus_ponens,[status(thm)],[8406, 8405])).
% 8.31/5.82 tff(8408,plain,
% 8.31/5.82 ((~(v98(constB30) <=> v1(constB29))) | (~v98(constB30)) | v1(constB29)),
% 8.31/5.82 inference(tautology,[status(thm)],[])).
% 8.31/5.82 tff(8409,plain,
% 8.31/5.82 ((~(v98(constB30) <=> v1(constB29))) | (~v98(constB30))),
% 8.31/5.82 inference(unit_resolution,[status(thm)],[8408, 8407])).
% 8.31/5.82 tff(8410,plain,
% 8.31/5.82 (~v98(constB30)),
% 8.31/5.82 inference(unit_resolution,[status(thm)],[8409, 8404])).
% 8.31/5.82 tff(8411,plain,
% 8.31/5.82 ((~((~v96(constB30)) <=> v98(constB30))) | v96(constB30) | v98(constB30)),
% 8.31/5.82 inference(tautology,[status(thm)],[])).
% 8.31/5.82 tff(8412,plain,
% 8.31/5.82 (v96(constB30)),
% 8.31/5.82 inference(unit_resolution,[status(thm)],[8411, 8410, 8400])).
% 8.31/5.82 tff(8413,plain,
% 8.31/5.82 (v1(constB30) <=> v1(constB30)),
% 8.31/5.82 inference(rewrite,[status(thm)],[])).
% 8.31/5.82 tff(8414,axiom,(v1(constB30)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_30')).
% 8.31/5.82 tff(8415,plain,
% 8.31/5.82 (v1(constB30)),
% 8.31/5.82 inference(modus_ponens,[status(thm)],[8414, 8413])).
% 8.31/5.82 tff(8416,plain,
% 8.31/5.82 ((~((~v1(constB30)) | (~v96(constB30)))) | (~v1(constB30)) | (~v96(constB30))),
% 8.31/5.82 inference(tautology,[status(thm)],[])).
% 8.31/5.82 tff(8417,plain,
% 8.31/5.82 ((~((~v1(constB30)) | (~v96(constB30)))) | (~v96(constB30))),
% 8.31/5.82 inference(unit_resolution,[status(thm)],[8416, 8415])).
% 8.31/5.82 tff(8418,plain,
% 8.31/5.82 (~((~v1(constB30)) | (~v96(constB30)))),
% 8.31/5.82 inference(unit_resolution,[status(thm)],[8417, 8412])).
% 8.31/5.82 tff(8419,plain,
% 8.31/5.82 ((~(v95(constB30) <=> (~((~v1(constB30)) | (~v96(constB30)))))) | v95(constB30) | ((~v1(constB30)) | (~v96(constB30)))),
% 8.31/5.82 inference(tautology,[status(thm)],[])).
% 8.31/5.82 tff(8420,plain,
% 8.31/5.82 (v95(constB30)),
% 8.31/5.82 inference(unit_resolution,[status(thm)],[8419, 8418, 8396])).
% 8.31/5.82 tff(8421,plain,
% 8.31/5.82 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB29, constB30)) | (v104(constB30) <=> v102(constB29)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB29, constB30)) | (v104(constB30) <=> v102(constB29)))),
% 8.31/5.82 inference(rewrite,[status(thm)],[])).
% 8.31/5.82 tff(8422,plain,
% 8.31/5.82 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB29, constB30)) | (v104(constB30) <=> v102(constB29)))),
% 8.31/5.82 inference(quant_inst,[status(thm)],[])).
% 8.31/5.82 tff(8423,plain,
% 8.31/5.82 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB29, constB30)) | (v104(constB30) <=> v102(constB29))),
% 8.31/5.83 inference(modus_ponens,[status(thm)],[8422, 8421])).
% 8.31/5.83 tff(8424,plain,
% 8.31/5.83 (v104(constB30) <=> v102(constB29)),
% 8.31/5.83 inference(unit_resolution,[status(thm)],[8423, 8385, 904])).
% 8.31/5.83 tff(8425,plain,
% 8.31/5.83 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB29) <=> (v105(constB29) | v106(constB29)))),
% 8.31/5.83 inference(quant_inst,[status(thm)],[])).
% 8.31/5.83 tff(8426,plain,
% 8.31/5.83 (v102(constB29) <=> (v105(constB29) | v106(constB29))),
% 8.31/5.83 inference(unit_resolution,[status(thm)],[8425, 915])).
% 8.31/5.83 tff(8427,plain,
% 8.31/5.83 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB29) <=> (~((~v107(constB29)) | (~v120(constB29)))))),
% 8.31/5.83 inference(quant_inst,[status(thm)],[])).
% 8.31/5.83 tff(8428,plain,
% 8.31/5.83 (v106(constB29) <=> (~((~v107(constB29)) | (~v120(constB29))))),
% 8.31/5.83 inference(unit_resolution,[status(thm)],[8427, 927])).
% 8.31/5.83 tff(8429,plain,
% 8.31/5.83 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB29) <=> (v108(constB29) | v119(constB29)))),
% 8.31/5.83 inference(quant_inst,[status(thm)],[])).
% 8.31/5.83 tff(8430,plain,
% 8.31/5.83 (v107(constB29) <=> (v108(constB29) | v119(constB29))),
% 8.31/5.83 inference(unit_resolution,[status(thm)],[8429, 936])).
% 8.31/5.83 tff(8431,plain,
% 8.31/5.83 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB29) <=> (v109(constB29) | v118(constB29)))),
% 8.31/5.83 inference(quant_inst,[status(thm)],[])).
% 8.31/5.83 tff(8432,plain,
% 8.31/5.83 (v108(constB29) <=> (v109(constB29) | v118(constB29))),
% 8.31/5.83 inference(unit_resolution,[status(thm)],[8431, 945])).
% 8.31/5.83 tff(8433,plain,
% 8.31/5.83 ((~![VarCurr: $i] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB29) <=> (v110(constB29) | v117(constB29)))),
% 8.31/5.83 inference(quant_inst,[status(thm)],[])).
% 8.31/5.83 tff(8434,plain,
% 8.31/5.83 (v109(constB29) <=> (v110(constB29) | v117(constB29))),
% 8.31/5.83 inference(unit_resolution,[status(thm)],[8433, 1056])).
% 8.31/5.83 tff(8435,plain,
% 8.31/5.83 ((~![VarCurr: $i] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB29) <=> (v111(constB29) | v116(constB29)))),
% 8.31/5.83 inference(quant_inst,[status(thm)],[])).
% 8.31/5.83 tff(8436,plain,
% 8.31/5.83 (v110(constB29) <=> (v111(constB29) | v116(constB29))),
% 8.31/5.83 inference(unit_resolution,[status(thm)],[8435, 1169])).
% 8.31/5.83 tff(8437,plain,
% 8.31/5.83 ((~![VarCurr: $i] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB29) <=> (v112(constB29) | v115(constB29)))),
% 8.31/5.83 inference(quant_inst,[status(thm)],[])).
% 8.31/5.83 tff(8438,plain,
% 8.31/5.83 (v111(constB29) <=> (v112(constB29) | v115(constB29))),
% 8.31/5.83 inference(unit_resolution,[status(thm)],[8437, 1279])).
% 8.31/5.83 tff(8439,plain,
% 8.31/5.83 (((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB29) <=> (~(v84(constB29, bitIndex2) | (~v84(constB29, bitIndex1)) | v84(constB29, bitIndex0))))) <=> ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB29) <=> (~(v84(constB29, bitIndex2) | (~v84(constB29, bitIndex1)) | v84(constB29, bitIndex0)))))),
% 8.31/5.83 inference(rewrite,[status(thm)],[])).
% 8.31/5.83 tff(8440,plain,
% 8.31/5.83 ((v115(constB29) <=> (~(v84(constB29, bitIndex0) | v84(constB29, bitIndex2) | (~v84(constB29, bitIndex1))))) <=> (v115(constB29) <=> (~(v84(constB29, bitIndex2) | (~v84(constB29, bitIndex1)) | v84(constB29, bitIndex0))))),
% 8.31/5.83 inference(rewrite,[status(thm)],[])).
% 8.31/5.83 tff(8441,plain,
% 8.31/5.83 (((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB29) <=> (~(v84(constB29, bitIndex0) | v84(constB29, bitIndex2) | (~v84(constB29, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB29) <=> (~(v84(constB29, bitIndex2) | (~v84(constB29, bitIndex1)) | v84(constB29, bitIndex0)))))),
% 8.31/5.83 inference(monotonicity,[status(thm)],[8440])).
% 8.31/5.83 tff(8442,plain,
% 8.31/5.83 (((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB29) <=> (~(v84(constB29, bitIndex0) | v84(constB29, bitIndex2) | (~v84(constB29, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB29) <=> (~(v84(constB29, bitIndex2) | (~v84(constB29, bitIndex1)) | v84(constB29, bitIndex0)))))),
% 8.31/5.83 inference(transitivity,[status(thm)],[8441, 8439])).
% 8.31/5.83 tff(8443,plain,
% 8.31/5.83 ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB29) <=> (~(v84(constB29, bitIndex0) | v84(constB29, bitIndex2) | (~v84(constB29, bitIndex1)))))),
% 8.31/5.83 inference(quant_inst,[status(thm)],[])).
% 8.31/5.83 tff(8444,plain,
% 8.31/5.83 ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB29) <=> (~(v84(constB29, bitIndex2) | (~v84(constB29, bitIndex1)) | v84(constB29, bitIndex0))))),
% 8.31/5.83 inference(modus_ponens,[status(thm)],[8443, 8442])).
% 8.31/5.83 tff(8445,plain,
% 8.31/5.83 (v115(constB29) <=> (~(v84(constB29, bitIndex2) | (~v84(constB29, bitIndex1)) | v84(constB29, bitIndex0)))),
% 8.31/5.83 inference(unit_resolution,[status(thm)],[8444, 1294])).
% 8.31/5.83 tff(8446,plain,
% 8.31/5.83 (nextState(constB28, constB29) <=> nextState(constB28, constB29)),
% 8.31/5.83 inference(rewrite,[status(thm)],[])).
% 8.31/5.83 tff(8447,axiom,(nextState(constB28, constB29)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_28')).
% 8.31/5.83 tff(8448,plain,
% 8.31/5.83 (nextState(constB28, constB29)),
% 8.31/5.83 inference(modus_ponens,[status(thm)],[8447, 8446])).
% 8.31/5.83 tff(8449,plain,
% 8.31/5.83 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB28, constB29)) | (v94(constB29) <=> (~((~v104(constB29)) | (~v95(constB29))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB28, constB29)) | (v94(constB29) <=> (~((~v104(constB29)) | (~v95(constB29))))))),
% 8.31/5.83 inference(rewrite,[status(thm)],[])).
% 8.31/5.83 tff(8450,plain,
% 8.31/5.83 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB28, constB29)) | (v94(constB29) <=> (~((~v104(constB29)) | (~v95(constB29))))))),
% 8.31/5.83 inference(quant_inst,[status(thm)],[])).
% 8.31/5.83 tff(8451,plain,
% 8.31/5.83 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB28, constB29)) | (v94(constB29) <=> (~((~v104(constB29)) | (~v95(constB29)))))),
% 8.31/5.83 inference(modus_ponens,[status(thm)],[8450, 8449])).
% 8.31/5.83 tff(8452,plain,
% 8.31/5.83 (v94(constB29) <=> (~((~v104(constB29)) | (~v95(constB29))))),
% 8.31/5.83 inference(unit_resolution,[status(thm)],[8451, 8448, 775])).
% 8.31/5.83 tff(8453,plain,
% 8.31/5.83 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB28, constB29)) | (v95(constB29) <=> (~((~v1(constB29)) | (~v96(constB29))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB28, constB29)) | (v95(constB29) <=> (~((~v1(constB29)) | (~v96(constB29))))))),
% 8.31/5.83 inference(rewrite,[status(thm)],[])).
% 8.31/5.83 tff(8454,plain,
% 8.31/5.83 (((~nextState(constB28, constB29)) | (v95(constB29) <=> (~((~v96(constB29)) | (~v1(constB29)))))) <=> ((~nextState(constB28, constB29)) | (v95(constB29) <=> (~((~v1(constB29)) | (~v96(constB29))))))),
% 8.31/5.83 inference(rewrite,[status(thm)],[])).
% 8.31/5.83 tff(8455,plain,
% 8.31/5.83 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB28, constB29)) | (v95(constB29) <=> (~((~v96(constB29)) | (~v1(constB29))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB28, constB29)) | (v95(constB29) <=> (~((~v1(constB29)) | (~v96(constB29)))))))),
% 8.31/5.83 inference(monotonicity,[status(thm)],[8454])).
% 8.31/5.83 tff(8456,plain,
% 8.31/5.83 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB28, constB29)) | (v95(constB29) <=> (~((~v96(constB29)) | (~v1(constB29))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB28, constB29)) | (v95(constB29) <=> (~((~v1(constB29)) | (~v96(constB29))))))),
% 8.31/5.83 inference(transitivity,[status(thm)],[8455, 8453])).
% 8.31/5.83 tff(8457,plain,
% 8.31/5.83 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB28, constB29)) | (v95(constB29) <=> (~((~v96(constB29)) | (~v1(constB29))))))),
% 8.31/5.83 inference(quant_inst,[status(thm)],[])).
% 8.31/5.83 tff(8458,plain,
% 8.31/5.83 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB28, constB29)) | (v95(constB29) <=> (~((~v1(constB29)) | (~v96(constB29)))))),
% 8.31/5.83 inference(modus_ponens,[status(thm)],[8457, 8456])).
% 8.31/5.83 tff(8459,plain,
% 8.31/5.83 (v95(constB29) <=> (~((~v1(constB29)) | (~v96(constB29))))),
% 8.31/5.83 inference(unit_resolution,[status(thm)],[8458, 8448, 795])).
% 8.31/5.83 tff(8460,plain,
% 8.31/5.83 (((~v1(constB29)) | (~v96(constB29))) | v1(constB29)),
% 8.31/5.83 inference(tautology,[status(thm)],[])).
% 8.31/5.83 tff(8461,plain,
% 8.31/5.83 ((~v1(constB29)) | (~v96(constB29))),
% 8.31/5.83 inference(unit_resolution,[status(thm)],[8460, 8407])).
% 8.31/5.83 tff(8462,plain,
% 8.31/5.83 ((~(v95(constB29) <=> (~((~v1(constB29)) | (~v96(constB29)))))) | (~v95(constB29)) | (~((~v1(constB29)) | (~v96(constB29))))),
% 8.31/5.83 inference(tautology,[status(thm)],[])).
% 8.31/5.83 tff(8463,plain,
% 8.31/5.83 ((~(v95(constB29) <=> (~((~v1(constB29)) | (~v96(constB29)))))) | (~v95(constB29))),
% 8.31/5.83 inference(unit_resolution,[status(thm)],[8462, 8461])).
% 8.31/5.83 tff(8464,plain,
% 8.31/5.83 (~v95(constB29)),
% 8.31/5.83 inference(unit_resolution,[status(thm)],[8463, 8459])).
% 8.31/5.83 tff(8465,plain,
% 8.31/5.83 (((~v104(constB29)) | (~v95(constB29))) | v95(constB29)),
% 8.31/5.83 inference(tautology,[status(thm)],[])).
% 8.31/5.83 tff(8466,plain,
% 8.31/5.83 ((~v104(constB29)) | (~v95(constB29))),
% 8.31/5.83 inference(unit_resolution,[status(thm)],[8465, 8464])).
% 8.31/5.83 tff(8467,plain,
% 8.31/5.83 ((~(v94(constB29) <=> (~((~v104(constB29)) | (~v95(constB29)))))) | (~v94(constB29)) | (~((~v104(constB29)) | (~v95(constB29))))),
% 8.31/5.83 inference(tautology,[status(thm)],[])).
% 8.31/5.83 tff(8468,plain,
% 8.31/5.83 (~v94(constB29)),
% 8.31/5.83 inference(unit_resolution,[status(thm)],[8467, 8466, 8452])).
% 8.31/5.83 tff(8469,plain,
% 8.31/5.83 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB29) | (~nextState(constB28, constB29)) | ![B: $i] : ((~less_3(B)) | (v84(constB29, B) <=> v84(constB28, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB29) | (~nextState(constB28, constB29)) | ![B: $i] : ((~less_3(B)) | (v84(constB29, B) <=> v84(constB28, B))))),
% 8.31/5.83 inference(rewrite,[status(thm)],[])).
% 8.31/5.83 tff(8470,plain,
% 8.31/5.83 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB29) | (~nextState(constB28, constB29)) | ![B: $i] : ((~less_3(B)) | (v84(constB29, B) <=> v84(constB28, B))))),
% 8.31/5.83 inference(quant_inst,[status(thm)],[])).
% 8.31/5.83 tff(8471,plain,
% 8.31/5.83 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB29) | (~nextState(constB28, constB29)) | ![B: $i] : ((~less_3(B)) | (v84(constB29, B) <=> v84(constB28, B)))),
% 8.31/5.83 inference(modus_ponens,[status(thm)],[8470, 8469])).
% 8.31/5.83 tff(8472,plain,
% 8.31/5.83 (v94(constB29) | ![B: $i] : ((~less_3(B)) | (v84(constB29, B) <=> v84(constB28, B)))),
% 8.31/5.83 inference(unit_resolution,[status(thm)],[8471, 8448, 824])).
% 8.31/5.83 tff(8473,plain,
% 8.31/5.83 (![B: $i] : ((~less_3(B)) | (v84(constB29, B) <=> v84(constB28, B)))),
% 8.31/5.83 inference(unit_resolution,[status(thm)],[8472, 8468])).
% 8.31/5.83 tff(8474,plain,
% 8.31/5.83 (((~![B: $i] : ((~less_3(B)) | (v84(constB29, B) <=> v84(constB28, B)))) | ((~less_3(bitIndex2)) | (v84(constB29, bitIndex2) <=> v84(constB28, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB29, B) <=> v84(constB28, B)))) | (~less_3(bitIndex2)) | (v84(constB29, bitIndex2) <=> v84(constB28, bitIndex2)))),
% 8.31/5.83 inference(rewrite,[status(thm)],[])).
% 8.31/5.83 tff(8475,plain,
% 8.31/5.83 ((~![B: $i] : ((~less_3(B)) | (v84(constB29, B) <=> v84(constB28, B)))) | ((~less_3(bitIndex2)) | (v84(constB29, bitIndex2) <=> v84(constB28, bitIndex2)))),
% 8.31/5.83 inference(quant_inst,[status(thm)],[])).
% 8.31/5.83 tff(8476,plain,
% 8.31/5.83 ((~![B: $i] : ((~less_3(B)) | (v84(constB29, B) <=> v84(constB28, B)))) | (~less_3(bitIndex2)) | (v84(constB29, bitIndex2) <=> v84(constB28, bitIndex2))),
% 8.31/5.83 inference(modus_ponens,[status(thm)],[8475, 8474])).
% 8.31/5.83 tff(8477,plain,
% 8.31/5.83 (v84(constB29, bitIndex2) <=> v84(constB28, bitIndex2)),
% 8.31/5.83 inference(unit_resolution,[status(thm)],[8476, 832, 8473])).
% 8.31/5.83 tff(8478,plain,
% 8.31/5.83 (nextState(constB27, constB28) <=> nextState(constB27, constB28)),
% 8.31/5.83 inference(rewrite,[status(thm)],[])).
% 8.31/5.83 tff(8479,axiom,(nextState(constB27, constB28)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_27')).
% 8.31/5.83 tff(8480,plain,
% 8.31/5.83 (nextState(constB27, constB28)),
% 8.31/5.83 inference(modus_ponens,[status(thm)],[8479, 8478])).
% 8.31/5.83 tff(8481,plain,
% 8.31/5.83 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB27, constB28)) | (v94(constB28) <=> (~((~v104(constB28)) | (~v95(constB28))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB27, constB28)) | (v94(constB28) <=> (~((~v104(constB28)) | (~v95(constB28))))))),
% 8.31/5.83 inference(rewrite,[status(thm)],[])).
% 8.31/5.83 tff(8482,plain,
% 8.31/5.83 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB27, constB28)) | (v94(constB28) <=> (~((~v104(constB28)) | (~v95(constB28))))))),
% 8.31/5.83 inference(quant_inst,[status(thm)],[])).
% 8.31/5.83 tff(8483,plain,
% 8.31/5.83 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB27, constB28)) | (v94(constB28) <=> (~((~v104(constB28)) | (~v95(constB28)))))),
% 8.31/5.83 inference(modus_ponens,[status(thm)],[8482, 8481])).
% 8.31/5.83 tff(8484,plain,
% 8.31/5.83 (v94(constB28) <=> (~((~v104(constB28)) | (~v95(constB28))))),
% 8.31/5.83 inference(unit_resolution,[status(thm)],[8483, 8480, 775])).
% 8.31/5.83 tff(8485,plain,
% 8.31/5.83 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB27, constB28)) | (v95(constB28) <=> (~((~v1(constB28)) | (~v96(constB28))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB27, constB28)) | (v95(constB28) <=> (~((~v1(constB28)) | (~v96(constB28))))))),
% 8.31/5.83 inference(rewrite,[status(thm)],[])).
% 8.31/5.83 tff(8486,plain,
% 8.31/5.83 (((~nextState(constB27, constB28)) | (v95(constB28) <=> (~((~v96(constB28)) | (~v1(constB28)))))) <=> ((~nextState(constB27, constB28)) | (v95(constB28) <=> (~((~v1(constB28)) | (~v96(constB28))))))),
% 8.31/5.83 inference(rewrite,[status(thm)],[])).
% 8.31/5.83 tff(8487,plain,
% 8.31/5.83 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB27, constB28)) | (v95(constB28) <=> (~((~v96(constB28)) | (~v1(constB28))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB27, constB28)) | (v95(constB28) <=> (~((~v1(constB28)) | (~v96(constB28)))))))),
% 8.31/5.83 inference(monotonicity,[status(thm)],[8486])).
% 8.31/5.83 tff(8488,plain,
% 8.31/5.83 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB27, constB28)) | (v95(constB28) <=> (~((~v96(constB28)) | (~v1(constB28))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB27, constB28)) | (v95(constB28) <=> (~((~v1(constB28)) | (~v96(constB28))))))),
% 8.31/5.83 inference(transitivity,[status(thm)],[8487, 8485])).
% 8.31/5.83 tff(8489,plain,
% 8.31/5.83 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB27, constB28)) | (v95(constB28) <=> (~((~v96(constB28)) | (~v1(constB28))))))),
% 8.31/5.83 inference(quant_inst,[status(thm)],[])).
% 8.31/5.83 tff(8490,plain,
% 8.31/5.83 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB27, constB28)) | (v95(constB28) <=> (~((~v1(constB28)) | (~v96(constB28)))))),
% 8.31/5.83 inference(modus_ponens,[status(thm)],[8489, 8488])).
% 8.31/5.83 tff(8491,plain,
% 8.31/5.83 (v95(constB28) <=> (~((~v1(constB28)) | (~v96(constB28))))),
% 8.31/5.83 inference(unit_resolution,[status(thm)],[8490, 8480, 795])).
% 8.31/5.83 tff(8492,plain,
% 8.31/5.83 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB27, constB28)) | ((~v96(constB28)) <=> v98(constB28)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB27, constB28)) | ((~v96(constB28)) <=> v98(constB28)))),
% 8.31/5.83 inference(rewrite,[status(thm)],[])).
% 8.31/5.83 tff(8493,plain,
% 8.31/5.83 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB27, constB28)) | ((~v96(constB28)) <=> v98(constB28)))),
% 8.31/5.83 inference(quant_inst,[status(thm)],[])).
% 8.31/5.83 tff(8494,plain,
% 8.31/5.83 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB27, constB28)) | ((~v96(constB28)) <=> v98(constB28))),
% 8.31/5.83 inference(modus_ponens,[status(thm)],[8493, 8492])).
% 8.31/5.83 tff(8495,plain,
% 8.31/5.83 ((~v96(constB28)) <=> v98(constB28)),
% 8.31/5.83 inference(unit_resolution,[status(thm)],[8494, 8480, 860])).
% 8.31/5.83 tff(8496,plain,
% 8.31/5.83 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB27, constB28)) | (v98(constB28) <=> v1(constB27)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB27, constB28)) | (v98(constB28) <=> v1(constB27)))),
% 8.31/5.83 inference(rewrite,[status(thm)],[])).
% 8.31/5.83 tff(8497,plain,
% 8.31/5.83 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB27, constB28)) | (v98(constB28) <=> v1(constB27)))),
% 8.31/5.83 inference(quant_inst,[status(thm)],[])).
% 8.31/5.83 tff(8498,plain,
% 8.31/5.83 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB27, constB28)) | (v98(constB28) <=> v1(constB27))),
% 8.31/5.83 inference(modus_ponens,[status(thm)],[8497, 8496])).
% 8.31/5.83 tff(8499,plain,
% 8.31/5.83 (v98(constB28) <=> v1(constB27)),
% 8.31/5.83 inference(unit_resolution,[status(thm)],[8498, 8480, 874])).
% 8.31/5.83 tff(8500,plain,
% 8.31/5.83 ((~v1(constB27)) <=> (~v1(constB27))),
% 8.31/5.83 inference(rewrite,[status(thm)],[])).
% 8.31/5.83 tff(8501,axiom,(~v1(constB27)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_27')).
% 8.31/5.83 tff(8502,plain,
% 8.31/5.83 (~v1(constB27)),
% 8.31/5.83 inference(modus_ponens,[status(thm)],[8501, 8500])).
% 8.31/5.83 tff(8503,plain,
% 8.31/5.83 ((~(v98(constB28) <=> v1(constB27))) | (~v98(constB28)) | v1(constB27)),
% 8.31/5.83 inference(tautology,[status(thm)],[])).
% 8.31/5.83 tff(8504,plain,
% 8.31/5.83 ((~(v98(constB28) <=> v1(constB27))) | (~v98(constB28))),
% 8.31/5.83 inference(unit_resolution,[status(thm)],[8503, 8502])).
% 8.31/5.83 tff(8505,plain,
% 8.31/5.83 (~v98(constB28)),
% 8.31/5.83 inference(unit_resolution,[status(thm)],[8504, 8499])).
% 8.31/5.83 tff(8506,plain,
% 8.31/5.83 ((~((~v96(constB28)) <=> v98(constB28))) | v96(constB28) | v98(constB28)),
% 8.31/5.83 inference(tautology,[status(thm)],[])).
% 8.31/5.83 tff(8507,plain,
% 8.31/5.83 (v96(constB28)),
% 8.31/5.83 inference(unit_resolution,[status(thm)],[8506, 8505, 8495])).
% 8.31/5.83 tff(8508,plain,
% 8.31/5.83 (v1(constB28) <=> v1(constB28)),
% 8.31/5.83 inference(rewrite,[status(thm)],[])).
% 8.31/5.83 tff(8509,axiom,(v1(constB28)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_28')).
% 8.31/5.83 tff(8510,plain,
% 8.31/5.83 (v1(constB28)),
% 8.31/5.83 inference(modus_ponens,[status(thm)],[8509, 8508])).
% 8.31/5.83 tff(8511,plain,
% 8.31/5.83 ((~((~v1(constB28)) | (~v96(constB28)))) | (~v1(constB28)) | (~v96(constB28))),
% 8.31/5.83 inference(tautology,[status(thm)],[])).
% 8.31/5.83 tff(8512,plain,
% 8.31/5.83 ((~((~v1(constB28)) | (~v96(constB28)))) | (~v96(constB28))),
% 8.31/5.83 inference(unit_resolution,[status(thm)],[8511, 8510])).
% 8.31/5.83 tff(8513,plain,
% 8.31/5.83 (~((~v1(constB28)) | (~v96(constB28)))),
% 8.31/5.83 inference(unit_resolution,[status(thm)],[8512, 8507])).
% 8.31/5.83 tff(8514,plain,
% 8.31/5.83 ((~(v95(constB28) <=> (~((~v1(constB28)) | (~v96(constB28)))))) | v95(constB28) | ((~v1(constB28)) | (~v96(constB28)))),
% 8.31/5.83 inference(tautology,[status(thm)],[])).
% 8.31/5.83 tff(8515,plain,
% 8.31/5.83 (v95(constB28)),
% 8.31/5.83 inference(unit_resolution,[status(thm)],[8514, 8513, 8491])).
% 8.31/5.83 tff(8516,plain,
% 8.31/5.83 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB27, constB28)) | (v104(constB28) <=> v102(constB27)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB27, constB28)) | (v104(constB28) <=> v102(constB27)))),
% 8.31/5.83 inference(rewrite,[status(thm)],[])).
% 8.31/5.83 tff(8517,plain,
% 8.31/5.83 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB27, constB28)) | (v104(constB28) <=> v102(constB27)))),
% 8.31/5.83 inference(quant_inst,[status(thm)],[])).
% 8.31/5.83 tff(8518,plain,
% 8.31/5.83 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB27, constB28)) | (v104(constB28) <=> v102(constB27))),
% 8.31/5.83 inference(modus_ponens,[status(thm)],[8517, 8516])).
% 8.31/5.83 tff(8519,plain,
% 8.31/5.83 (v104(constB28) <=> v102(constB27)),
% 8.31/5.83 inference(unit_resolution,[status(thm)],[8518, 8480, 904])).
% 8.31/5.83 tff(8520,plain,
% 8.31/5.83 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB27) <=> (v105(constB27) | v106(constB27)))),
% 8.31/5.83 inference(quant_inst,[status(thm)],[])).
% 8.31/5.83 tff(8521,plain,
% 8.31/5.83 (v102(constB27) <=> (v105(constB27) | v106(constB27))),
% 8.31/5.83 inference(unit_resolution,[status(thm)],[8520, 915])).
% 8.31/5.83 tff(8522,plain,
% 8.31/5.83 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB27) <=> (~((~v107(constB27)) | (~v120(constB27)))))),
% 8.31/5.83 inference(quant_inst,[status(thm)],[])).
% 8.31/5.83 tff(8523,plain,
% 8.31/5.83 (v106(constB27) <=> (~((~v107(constB27)) | (~v120(constB27))))),
% 8.31/5.83 inference(unit_resolution,[status(thm)],[8522, 927])).
% 8.31/5.83 tff(8524,plain,
% 8.31/5.83 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB27) <=> (v108(constB27) | v119(constB27)))),
% 8.31/5.83 inference(quant_inst,[status(thm)],[])).
% 8.31/5.83 tff(8525,plain,
% 8.31/5.83 (v107(constB27) <=> (v108(constB27) | v119(constB27))),
% 8.31/5.83 inference(unit_resolution,[status(thm)],[8524, 936])).
% 8.31/5.83 tff(8526,plain,
% 8.31/5.83 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB27) <=> (v109(constB27) | v118(constB27)))),
% 8.31/5.83 inference(quant_inst,[status(thm)],[])).
% 8.31/5.83 tff(8527,plain,
% 8.31/5.83 (v108(constB27) <=> (v109(constB27) | v118(constB27))),
% 8.31/5.83 inference(unit_resolution,[status(thm)],[8526, 945])).
% 8.31/5.83 tff(8528,plain,
% 8.31/5.83 ((~![VarCurr: $i] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB27) <=> (v110(constB27) | v117(constB27)))),
% 8.31/5.83 inference(quant_inst,[status(thm)],[])).
% 8.31/5.83 tff(8529,plain,
% 8.31/5.83 (v109(constB27) <=> (v110(constB27) | v117(constB27))),
% 8.31/5.83 inference(unit_resolution,[status(thm)],[8528, 1056])).
% 8.31/5.83 tff(8530,plain,
% 8.31/5.83 ((~![VarCurr: $i] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB27) <=> (v111(constB27) | v116(constB27)))),
% 8.31/5.83 inference(quant_inst,[status(thm)],[])).
% 8.31/5.83 tff(8531,plain,
% 8.31/5.83 (v110(constB27) <=> (v111(constB27) | v116(constB27))),
% 8.31/5.83 inference(unit_resolution,[status(thm)],[8530, 1169])).
% 8.31/5.83 tff(8532,plain,
% 8.31/5.83 ((~![VarCurr: $i] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB27) <=> (v112(constB27) | v115(constB27)))),
% 8.31/5.83 inference(quant_inst,[status(thm)],[])).
% 8.31/5.83 tff(8533,plain,
% 8.31/5.83 (v111(constB27) <=> (v112(constB27) | v115(constB27))),
% 8.31/5.83 inference(unit_resolution,[status(thm)],[8532, 1279])).
% 8.31/5.83 tff(8534,plain,
% 8.31/5.83 ((~![VarCurr: $i] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))) | (v112(constB27) <=> (v113(constB27) | v114(constB27)))),
% 8.31/5.83 inference(quant_inst,[status(thm)],[])).
% 8.31/5.83 tff(8535,plain,
% 8.31/5.83 (v112(constB27) <=> (v113(constB27) | v114(constB27))),
% 8.31/5.83 inference(unit_resolution,[status(thm)],[8534, 1396])).
% 8.31/5.83 tff(8536,plain,
% 8.31/5.83 (((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB27) <=> (~(v84(constB27, bitIndex2) | v84(constB27, bitIndex1) | (~v84(constB27, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB27) <=> (~(v84(constB27, bitIndex2) | v84(constB27, bitIndex1) | (~v84(constB27, bitIndex0))))))),
% 8.31/5.83 inference(rewrite,[status(thm)],[])).
% 8.31/5.83 tff(8537,plain,
% 8.31/5.83 ((v114(constB27) <=> (~(v84(constB27, bitIndex1) | v84(constB27, bitIndex2) | (~v84(constB27, bitIndex0))))) <=> (v114(constB27) <=> (~(v84(constB27, bitIndex2) | v84(constB27, bitIndex1) | (~v84(constB27, bitIndex0)))))),
% 8.31/5.83 inference(rewrite,[status(thm)],[])).
% 8.31/5.83 tff(8538,plain,
% 8.31/5.83 (((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB27) <=> (~(v84(constB27, bitIndex1) | v84(constB27, bitIndex2) | (~v84(constB27, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB27) <=> (~(v84(constB27, bitIndex2) | v84(constB27, bitIndex1) | (~v84(constB27, bitIndex0))))))),
% 8.31/5.83 inference(monotonicity,[status(thm)],[8537])).
% 8.31/5.83 tff(8539,plain,
% 8.31/5.83 (((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB27) <=> (~(v84(constB27, bitIndex1) | v84(constB27, bitIndex2) | (~v84(constB27, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB27) <=> (~(v84(constB27, bitIndex2) | v84(constB27, bitIndex1) | (~v84(constB27, bitIndex0))))))),
% 8.31/5.83 inference(transitivity,[status(thm)],[8538, 8536])).
% 8.31/5.83 tff(8540,plain,
% 8.31/5.83 ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB27) <=> (~(v84(constB27, bitIndex1) | v84(constB27, bitIndex2) | (~v84(constB27, bitIndex0)))))),
% 8.31/5.83 inference(quant_inst,[status(thm)],[])).
% 8.31/5.83 tff(8541,plain,
% 8.31/5.83 ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB27) <=> (~(v84(constB27, bitIndex2) | v84(constB27, bitIndex1) | (~v84(constB27, bitIndex0)))))),
% 8.31/5.83 inference(modus_ponens,[status(thm)],[8540, 8539])).
% 8.31/5.83 tff(8542,plain,
% 8.31/5.83 (v114(constB27) <=> (~(v84(constB27, bitIndex2) | v84(constB27, bitIndex1) | (~v84(constB27, bitIndex0))))),
% 8.31/5.83 inference(unit_resolution,[status(thm)],[8541, 1411])).
% 8.31/5.83 tff(8543,plain,
% 8.31/5.83 (nextState(constB26, constB27) <=> nextState(constB26, constB27)),
% 8.31/5.83 inference(rewrite,[status(thm)],[])).
% 8.31/5.83 tff(8544,axiom,(nextState(constB26, constB27)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_26')).
% 8.31/5.83 tff(8545,plain,
% 8.31/5.83 (nextState(constB26, constB27)),
% 8.31/5.83 inference(modus_ponens,[status(thm)],[8544, 8543])).
% 8.31/5.83 tff(8546,plain,
% 8.31/5.83 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB26, constB27)) | (v94(constB27) <=> (~((~v104(constB27)) | (~v95(constB27))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB26, constB27)) | (v94(constB27) <=> (~((~v104(constB27)) | (~v95(constB27))))))),
% 8.31/5.83 inference(rewrite,[status(thm)],[])).
% 8.31/5.83 tff(8547,plain,
% 8.31/5.83 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB26, constB27)) | (v94(constB27) <=> (~((~v104(constB27)) | (~v95(constB27))))))),
% 8.31/5.83 inference(quant_inst,[status(thm)],[])).
% 8.31/5.83 tff(8548,plain,
% 8.31/5.83 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB26, constB27)) | (v94(constB27) <=> (~((~v104(constB27)) | (~v95(constB27)))))),
% 8.31/5.83 inference(modus_ponens,[status(thm)],[8547, 8546])).
% 8.31/5.83 tff(8549,plain,
% 8.31/5.83 (v94(constB27) <=> (~((~v104(constB27)) | (~v95(constB27))))),
% 8.31/5.83 inference(unit_resolution,[status(thm)],[8548, 8545, 775])).
% 8.31/5.83 tff(8550,plain,
% 8.31/5.83 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB26, constB27)) | (v95(constB27) <=> (~((~v1(constB27)) | (~v96(constB27))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB26, constB27)) | (v95(constB27) <=> (~((~v1(constB27)) | (~v96(constB27))))))),
% 8.31/5.83 inference(rewrite,[status(thm)],[])).
% 8.31/5.83 tff(8551,plain,
% 8.31/5.83 (((~nextState(constB26, constB27)) | (v95(constB27) <=> (~((~v96(constB27)) | (~v1(constB27)))))) <=> ((~nextState(constB26, constB27)) | (v95(constB27) <=> (~((~v1(constB27)) | (~v96(constB27))))))),
% 8.31/5.83 inference(rewrite,[status(thm)],[])).
% 8.31/5.83 tff(8552,plain,
% 8.31/5.83 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB26, constB27)) | (v95(constB27) <=> (~((~v96(constB27)) | (~v1(constB27))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB26, constB27)) | (v95(constB27) <=> (~((~v1(constB27)) | (~v96(constB27)))))))),
% 8.31/5.83 inference(monotonicity,[status(thm)],[8551])).
% 8.31/5.83 tff(8553,plain,
% 8.31/5.83 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB26, constB27)) | (v95(constB27) <=> (~((~v96(constB27)) | (~v1(constB27))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB26, constB27)) | (v95(constB27) <=> (~((~v1(constB27)) | (~v96(constB27))))))),
% 8.31/5.83 inference(transitivity,[status(thm)],[8552, 8550])).
% 8.31/5.83 tff(8554,plain,
% 8.31/5.83 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB26, constB27)) | (v95(constB27) <=> (~((~v96(constB27)) | (~v1(constB27))))))),
% 8.31/5.83 inference(quant_inst,[status(thm)],[])).
% 8.31/5.83 tff(8555,plain,
% 8.31/5.83 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB26, constB27)) | (v95(constB27) <=> (~((~v1(constB27)) | (~v96(constB27)))))),
% 8.31/5.83 inference(modus_ponens,[status(thm)],[8554, 8553])).
% 8.31/5.83 tff(8556,plain,
% 8.31/5.83 (v95(constB27) <=> (~((~v1(constB27)) | (~v96(constB27))))),
% 8.31/5.83 inference(unit_resolution,[status(thm)],[8555, 8545, 795])).
% 8.31/5.83 tff(8557,plain,
% 8.31/5.83 (((~v1(constB27)) | (~v96(constB27))) | v1(constB27)),
% 8.31/5.83 inference(tautology,[status(thm)],[])).
% 8.31/5.83 tff(8558,plain,
% 8.31/5.83 ((~v1(constB27)) | (~v96(constB27))),
% 8.31/5.83 inference(unit_resolution,[status(thm)],[8557, 8502])).
% 8.31/5.83 tff(8559,plain,
% 8.31/5.83 ((~(v95(constB27) <=> (~((~v1(constB27)) | (~v96(constB27)))))) | (~v95(constB27)) | (~((~v1(constB27)) | (~v96(constB27))))),
% 8.31/5.83 inference(tautology,[status(thm)],[])).
% 8.31/5.83 tff(8560,plain,
% 8.31/5.83 ((~(v95(constB27) <=> (~((~v1(constB27)) | (~v96(constB27)))))) | (~v95(constB27))),
% 8.31/5.83 inference(unit_resolution,[status(thm)],[8559, 8558])).
% 8.31/5.83 tff(8561,plain,
% 8.31/5.83 (~v95(constB27)),
% 8.31/5.83 inference(unit_resolution,[status(thm)],[8560, 8556])).
% 8.31/5.83 tff(8562,plain,
% 8.31/5.83 (((~v104(constB27)) | (~v95(constB27))) | v95(constB27)),
% 8.31/5.83 inference(tautology,[status(thm)],[])).
% 8.31/5.83 tff(8563,plain,
% 8.31/5.83 ((~v104(constB27)) | (~v95(constB27))),
% 8.31/5.83 inference(unit_resolution,[status(thm)],[8562, 8561])).
% 8.31/5.83 tff(8564,plain,
% 8.31/5.83 ((~(v94(constB27) <=> (~((~v104(constB27)) | (~v95(constB27)))))) | (~v94(constB27)) | (~((~v104(constB27)) | (~v95(constB27))))),
% 8.31/5.83 inference(tautology,[status(thm)],[])).
% 8.31/5.83 tff(8565,plain,
% 8.31/5.83 (~v94(constB27)),
% 8.31/5.83 inference(unit_resolution,[status(thm)],[8564, 8563, 8549])).
% 8.31/5.83 tff(8566,plain,
% 8.31/5.83 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB27) | (~nextState(constB26, constB27)) | ![B: $i] : ((~less_3(B)) | (v84(constB27, B) <=> v84(constB26, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB27) | (~nextState(constB26, constB27)) | ![B: $i] : ((~less_3(B)) | (v84(constB27, B) <=> v84(constB26, B))))),
% 8.31/5.83 inference(rewrite,[status(thm)],[])).
% 8.31/5.83 tff(8567,plain,
% 8.31/5.83 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB27) | (~nextState(constB26, constB27)) | ![B: $i] : ((~less_3(B)) | (v84(constB27, B) <=> v84(constB26, B))))),
% 8.31/5.83 inference(quant_inst,[status(thm)],[])).
% 8.31/5.83 tff(8568,plain,
% 8.31/5.83 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB27) | (~nextState(constB26, constB27)) | ![B: $i] : ((~less_3(B)) | (v84(constB27, B) <=> v84(constB26, B)))),
% 8.31/5.83 inference(modus_ponens,[status(thm)],[8567, 8566])).
% 8.31/5.83 tff(8569,plain,
% 8.31/5.83 (v94(constB27) | ![B: $i] : ((~less_3(B)) | (v84(constB27, B) <=> v84(constB26, B)))),
% 8.31/5.83 inference(unit_resolution,[status(thm)],[8568, 8545, 824])).
% 8.31/5.83 tff(8570,plain,
% 8.31/5.83 (![B: $i] : ((~less_3(B)) | (v84(constB27, B) <=> v84(constB26, B)))),
% 8.31/5.83 inference(unit_resolution,[status(thm)],[8569, 8565])).
% 8.31/5.83 tff(8571,plain,
% 8.31/5.83 (((~![B: $i] : ((~less_3(B)) | (v84(constB27, B) <=> v84(constB26, B)))) | ((~less_3(bitIndex2)) | (v84(constB27, bitIndex2) <=> v84(constB26, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB27, B) <=> v84(constB26, B)))) | (~less_3(bitIndex2)) | (v84(constB27, bitIndex2) <=> v84(constB26, bitIndex2)))),
% 8.31/5.83 inference(rewrite,[status(thm)],[])).
% 8.31/5.83 tff(8572,plain,
% 8.31/5.83 ((~![B: $i] : ((~less_3(B)) | (v84(constB27, B) <=> v84(constB26, B)))) | ((~less_3(bitIndex2)) | (v84(constB27, bitIndex2) <=> v84(constB26, bitIndex2)))),
% 8.31/5.83 inference(quant_inst,[status(thm)],[])).
% 8.31/5.83 tff(8573,plain,
% 8.31/5.83 ((~![B: $i] : ((~less_3(B)) | (v84(constB27, B) <=> v84(constB26, B)))) | (~less_3(bitIndex2)) | (v84(constB27, bitIndex2) <=> v84(constB26, bitIndex2))),
% 8.31/5.83 inference(modus_ponens,[status(thm)],[8572, 8571])).
% 8.31/5.83 tff(8574,plain,
% 8.31/5.83 (v84(constB27, bitIndex2) <=> v84(constB26, bitIndex2)),
% 8.31/5.83 inference(unit_resolution,[status(thm)],[8573, 832, 8570])).
% 8.31/5.83 tff(8575,plain,
% 8.31/5.83 (nextState(constB25, constB26) <=> nextState(constB25, constB26)),
% 8.31/5.83 inference(rewrite,[status(thm)],[])).
% 8.31/5.83 tff(8576,axiom,(nextState(constB25, constB26)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_25')).
% 8.31/5.83 tff(8577,plain,
% 8.31/5.83 (nextState(constB25, constB26)),
% 8.31/5.83 inference(modus_ponens,[status(thm)],[8576, 8575])).
% 8.31/5.83 tff(8578,plain,
% 8.31/5.83 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB25, constB26)) | (v94(constB26) <=> (~((~v104(constB26)) | (~v95(constB26))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB25, constB26)) | (v94(constB26) <=> (~((~v104(constB26)) | (~v95(constB26))))))),
% 8.31/5.84 inference(rewrite,[status(thm)],[])).
% 8.31/5.84 tff(8579,plain,
% 8.31/5.84 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB25, constB26)) | (v94(constB26) <=> (~((~v104(constB26)) | (~v95(constB26))))))),
% 8.31/5.84 inference(quant_inst,[status(thm)],[])).
% 8.31/5.84 tff(8580,plain,
% 8.31/5.84 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB25, constB26)) | (v94(constB26) <=> (~((~v104(constB26)) | (~v95(constB26)))))),
% 8.31/5.84 inference(modus_ponens,[status(thm)],[8579, 8578])).
% 8.31/5.84 tff(8581,plain,
% 8.31/5.84 (v94(constB26) <=> (~((~v104(constB26)) | (~v95(constB26))))),
% 8.31/5.84 inference(unit_resolution,[status(thm)],[8580, 8577, 775])).
% 8.31/5.84 tff(8582,plain,
% 8.31/5.84 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB25, constB26)) | (v95(constB26) <=> (~((~v1(constB26)) | (~v96(constB26))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB25, constB26)) | (v95(constB26) <=> (~((~v1(constB26)) | (~v96(constB26))))))),
% 8.31/5.84 inference(rewrite,[status(thm)],[])).
% 8.31/5.84 tff(8583,plain,
% 8.31/5.84 (((~nextState(constB25, constB26)) | (v95(constB26) <=> (~((~v96(constB26)) | (~v1(constB26)))))) <=> ((~nextState(constB25, constB26)) | (v95(constB26) <=> (~((~v1(constB26)) | (~v96(constB26))))))),
% 8.31/5.84 inference(rewrite,[status(thm)],[])).
% 8.31/5.84 tff(8584,plain,
% 8.31/5.84 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB25, constB26)) | (v95(constB26) <=> (~((~v96(constB26)) | (~v1(constB26))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB25, constB26)) | (v95(constB26) <=> (~((~v1(constB26)) | (~v96(constB26)))))))),
% 8.31/5.84 inference(monotonicity,[status(thm)],[8583])).
% 8.31/5.84 tff(8585,plain,
% 8.31/5.84 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB25, constB26)) | (v95(constB26) <=> (~((~v96(constB26)) | (~v1(constB26))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB25, constB26)) | (v95(constB26) <=> (~((~v1(constB26)) | (~v96(constB26))))))),
% 8.31/5.84 inference(transitivity,[status(thm)],[8584, 8582])).
% 8.31/5.84 tff(8586,plain,
% 8.31/5.84 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB25, constB26)) | (v95(constB26) <=> (~((~v96(constB26)) | (~v1(constB26))))))),
% 8.31/5.84 inference(quant_inst,[status(thm)],[])).
% 8.31/5.84 tff(8587,plain,
% 8.31/5.84 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB25, constB26)) | (v95(constB26) <=> (~((~v1(constB26)) | (~v96(constB26)))))),
% 8.31/5.84 inference(modus_ponens,[status(thm)],[8586, 8585])).
% 8.31/5.84 tff(8588,plain,
% 8.31/5.84 (v95(constB26) <=> (~((~v1(constB26)) | (~v96(constB26))))),
% 8.31/5.84 inference(unit_resolution,[status(thm)],[8587, 8577, 795])).
% 8.31/5.84 tff(8589,plain,
% 8.31/5.84 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB25, constB26)) | ((~v96(constB26)) <=> v98(constB26)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB25, constB26)) | ((~v96(constB26)) <=> v98(constB26)))),
% 8.31/5.84 inference(rewrite,[status(thm)],[])).
% 8.31/5.84 tff(8590,plain,
% 8.31/5.84 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB25, constB26)) | ((~v96(constB26)) <=> v98(constB26)))),
% 8.31/5.84 inference(quant_inst,[status(thm)],[])).
% 8.31/5.84 tff(8591,plain,
% 8.31/5.84 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB25, constB26)) | ((~v96(constB26)) <=> v98(constB26))),
% 8.31/5.84 inference(modus_ponens,[status(thm)],[8590, 8589])).
% 8.31/5.84 tff(8592,plain,
% 8.31/5.84 ((~v96(constB26)) <=> v98(constB26)),
% 8.31/5.84 inference(unit_resolution,[status(thm)],[8591, 8577, 860])).
% 8.31/5.84 tff(8593,plain,
% 8.31/5.84 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB25, constB26)) | (v98(constB26) <=> v1(constB25)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB25, constB26)) | (v98(constB26) <=> v1(constB25)))),
% 8.31/5.84 inference(rewrite,[status(thm)],[])).
% 8.31/5.84 tff(8594,plain,
% 8.31/5.84 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB25, constB26)) | (v98(constB26) <=> v1(constB25)))),
% 8.31/5.84 inference(quant_inst,[status(thm)],[])).
% 8.31/5.84 tff(8595,plain,
% 8.31/5.84 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB25, constB26)) | (v98(constB26) <=> v1(constB25))),
% 8.31/5.84 inference(modus_ponens,[status(thm)],[8594, 8593])).
% 8.31/5.84 tff(8596,plain,
% 8.31/5.84 (v98(constB26) <=> v1(constB25)),
% 8.31/5.84 inference(unit_resolution,[status(thm)],[8595, 8577, 874])).
% 8.31/5.84 tff(8597,plain,
% 8.31/5.84 ((~v1(constB25)) <=> (~v1(constB25))),
% 8.31/5.84 inference(rewrite,[status(thm)],[])).
% 8.31/5.84 tff(8598,axiom,(~v1(constB25)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_25')).
% 8.31/5.84 tff(8599,plain,
% 8.31/5.84 (~v1(constB25)),
% 8.31/5.84 inference(modus_ponens,[status(thm)],[8598, 8597])).
% 8.31/5.84 tff(8600,plain,
% 8.31/5.84 ((~(v98(constB26) <=> v1(constB25))) | (~v98(constB26)) | v1(constB25)),
% 8.31/5.84 inference(tautology,[status(thm)],[])).
% 8.31/5.84 tff(8601,plain,
% 8.31/5.84 ((~(v98(constB26) <=> v1(constB25))) | (~v98(constB26))),
% 8.31/5.84 inference(unit_resolution,[status(thm)],[8600, 8599])).
% 8.31/5.84 tff(8602,plain,
% 8.31/5.84 (~v98(constB26)),
% 8.31/5.84 inference(unit_resolution,[status(thm)],[8601, 8596])).
% 8.31/5.84 tff(8603,plain,
% 8.31/5.84 ((~((~v96(constB26)) <=> v98(constB26))) | v96(constB26) | v98(constB26)),
% 8.31/5.84 inference(tautology,[status(thm)],[])).
% 8.31/5.84 tff(8604,plain,
% 8.31/5.84 (v96(constB26)),
% 8.31/5.84 inference(unit_resolution,[status(thm)],[8603, 8602, 8592])).
% 8.31/5.84 tff(8605,plain,
% 8.31/5.84 (v1(constB26) <=> v1(constB26)),
% 8.31/5.84 inference(rewrite,[status(thm)],[])).
% 8.31/5.84 tff(8606,axiom,(v1(constB26)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_26')).
% 8.31/5.84 tff(8607,plain,
% 8.31/5.84 (v1(constB26)),
% 8.31/5.84 inference(modus_ponens,[status(thm)],[8606, 8605])).
% 8.31/5.84 tff(8608,plain,
% 8.31/5.84 ((~((~v1(constB26)) | (~v96(constB26)))) | (~v1(constB26)) | (~v96(constB26))),
% 8.31/5.84 inference(tautology,[status(thm)],[])).
% 8.31/5.84 tff(8609,plain,
% 8.31/5.84 ((~((~v1(constB26)) | (~v96(constB26)))) | (~v96(constB26))),
% 8.31/5.84 inference(unit_resolution,[status(thm)],[8608, 8607])).
% 8.31/5.84 tff(8610,plain,
% 8.31/5.84 (~((~v1(constB26)) | (~v96(constB26)))),
% 8.31/5.84 inference(unit_resolution,[status(thm)],[8609, 8604])).
% 8.31/5.84 tff(8611,plain,
% 8.31/5.84 ((~(v95(constB26) <=> (~((~v1(constB26)) | (~v96(constB26)))))) | v95(constB26) | ((~v1(constB26)) | (~v96(constB26)))),
% 8.31/5.84 inference(tautology,[status(thm)],[])).
% 8.31/5.84 tff(8612,plain,
% 8.31/5.84 (v95(constB26)),
% 8.31/5.84 inference(unit_resolution,[status(thm)],[8611, 8610, 8588])).
% 8.31/5.84 tff(8613,plain,
% 8.31/5.84 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB25, constB26)) | (v104(constB26) <=> v102(constB25)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB25, constB26)) | (v104(constB26) <=> v102(constB25)))),
% 8.31/5.84 inference(rewrite,[status(thm)],[])).
% 8.31/5.84 tff(8614,plain,
% 8.31/5.84 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB25, constB26)) | (v104(constB26) <=> v102(constB25)))),
% 8.31/5.84 inference(quant_inst,[status(thm)],[])).
% 8.31/5.84 tff(8615,plain,
% 8.31/5.84 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB25, constB26)) | (v104(constB26) <=> v102(constB25))),
% 8.31/5.84 inference(modus_ponens,[status(thm)],[8614, 8613])).
% 8.31/5.84 tff(8616,plain,
% 8.31/5.84 (v104(constB26) <=> v102(constB25)),
% 8.31/5.84 inference(unit_resolution,[status(thm)],[8615, 8577, 904])).
% 8.31/5.84 tff(8617,plain,
% 8.31/5.84 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB25) <=> (v105(constB25) | v106(constB25)))),
% 8.31/5.84 inference(quant_inst,[status(thm)],[])).
% 8.31/5.84 tff(8618,plain,
% 8.31/5.84 (v102(constB25) <=> (v105(constB25) | v106(constB25))),
% 8.31/5.84 inference(unit_resolution,[status(thm)],[8617, 915])).
% 8.31/5.84 tff(8619,plain,
% 8.31/5.84 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB25) <=> (~((~v107(constB25)) | (~v120(constB25)))))),
% 8.31/5.84 inference(quant_inst,[status(thm)],[])).
% 8.31/5.84 tff(8620,plain,
% 8.31/5.84 (v106(constB25) <=> (~((~v107(constB25)) | (~v120(constB25))))),
% 8.31/5.84 inference(unit_resolution,[status(thm)],[8619, 927])).
% 8.31/5.84 tff(8621,plain,
% 8.31/5.84 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB25) <=> (v108(constB25) | v119(constB25)))),
% 8.31/5.84 inference(quant_inst,[status(thm)],[])).
% 8.31/5.84 tff(8622,plain,
% 8.31/5.84 (v107(constB25) <=> (v108(constB25) | v119(constB25))),
% 8.31/5.84 inference(unit_resolution,[status(thm)],[8621, 936])).
% 8.31/5.84 tff(8623,plain,
% 8.31/5.84 (((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB25) <=> (~((~v84(constB25, bitIndex2)) | (~v84(constB25, bitIndex1)) | v84(constB25, bitIndex0))))) <=> ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB25) <=> (~((~v84(constB25, bitIndex2)) | (~v84(constB25, bitIndex1)) | v84(constB25, bitIndex0)))))),
% 8.31/5.84 inference(rewrite,[status(thm)],[])).
% 8.31/5.84 tff(8624,plain,
% 8.31/5.84 ((v119(constB25) <=> (~(v84(constB25, bitIndex0) | (~v84(constB25, bitIndex1)) | (~v84(constB25, bitIndex2))))) <=> (v119(constB25) <=> (~((~v84(constB25, bitIndex2)) | (~v84(constB25, bitIndex1)) | v84(constB25, bitIndex0))))),
% 8.31/5.84 inference(rewrite,[status(thm)],[])).
% 8.31/5.84 tff(8625,plain,
% 8.31/5.84 (((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB25) <=> (~(v84(constB25, bitIndex0) | (~v84(constB25, bitIndex1)) | (~v84(constB25, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB25) <=> (~((~v84(constB25, bitIndex2)) | (~v84(constB25, bitIndex1)) | v84(constB25, bitIndex0)))))),
% 8.31/5.84 inference(monotonicity,[status(thm)],[8624])).
% 8.31/5.84 tff(8626,plain,
% 8.31/5.84 (((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB25) <=> (~(v84(constB25, bitIndex0) | (~v84(constB25, bitIndex1)) | (~v84(constB25, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB25) <=> (~((~v84(constB25, bitIndex2)) | (~v84(constB25, bitIndex1)) | v84(constB25, bitIndex0)))))),
% 8.31/5.84 inference(transitivity,[status(thm)],[8625, 8623])).
% 8.31/5.84 tff(8627,plain,
% 8.31/5.84 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB25) <=> (~(v84(constB25, bitIndex0) | (~v84(constB25, bitIndex1)) | (~v84(constB25, bitIndex2)))))),
% 8.31/5.84 inference(quant_inst,[status(thm)],[])).
% 8.31/5.84 tff(8628,plain,
% 8.31/5.84 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB25) <=> (~((~v84(constB25, bitIndex2)) | (~v84(constB25, bitIndex1)) | v84(constB25, bitIndex0))))),
% 8.31/5.84 inference(modus_ponens,[status(thm)],[8627, 8626])).
% 8.31/5.84 tff(8629,plain,
% 8.31/5.84 (v119(constB25) <=> (~((~v84(constB25, bitIndex2)) | (~v84(constB25, bitIndex1)) | v84(constB25, bitIndex0)))),
% 8.31/5.84 inference(unit_resolution,[status(thm)],[8628, 1511])).
% 8.31/5.84 tff(8630,plain,
% 8.31/5.84 (nextState(constB24, constB25) <=> nextState(constB24, constB25)),
% 8.31/5.84 inference(rewrite,[status(thm)],[])).
% 8.31/5.84 tff(8631,axiom,(nextState(constB24, constB25)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_24')).
% 8.31/5.84 tff(8632,plain,
% 8.31/5.84 (nextState(constB24, constB25)),
% 8.31/5.84 inference(modus_ponens,[status(thm)],[8631, 8630])).
% 8.31/5.84 tff(8633,plain,
% 8.31/5.84 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB24, constB25)) | (v94(constB25) <=> (~((~v104(constB25)) | (~v95(constB25))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB24, constB25)) | (v94(constB25) <=> (~((~v104(constB25)) | (~v95(constB25))))))),
% 8.31/5.84 inference(rewrite,[status(thm)],[])).
% 8.31/5.84 tff(8634,plain,
% 8.31/5.84 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB24, constB25)) | (v94(constB25) <=> (~((~v104(constB25)) | (~v95(constB25))))))),
% 8.31/5.84 inference(quant_inst,[status(thm)],[])).
% 8.31/5.84 tff(8635,plain,
% 8.31/5.84 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB24, constB25)) | (v94(constB25) <=> (~((~v104(constB25)) | (~v95(constB25)))))),
% 8.31/5.84 inference(modus_ponens,[status(thm)],[8634, 8633])).
% 8.31/5.84 tff(8636,plain,
% 8.31/5.84 (v94(constB25) <=> (~((~v104(constB25)) | (~v95(constB25))))),
% 8.31/5.84 inference(unit_resolution,[status(thm)],[8635, 8632, 775])).
% 8.31/5.84 tff(8637,plain,
% 8.31/5.84 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB24, constB25)) | (v95(constB25) <=> (~((~v1(constB25)) | (~v96(constB25))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB24, constB25)) | (v95(constB25) <=> (~((~v1(constB25)) | (~v96(constB25))))))),
% 8.31/5.84 inference(rewrite,[status(thm)],[])).
% 8.31/5.84 tff(8638,plain,
% 8.31/5.84 (((~nextState(constB24, constB25)) | (v95(constB25) <=> (~((~v96(constB25)) | (~v1(constB25)))))) <=> ((~nextState(constB24, constB25)) | (v95(constB25) <=> (~((~v1(constB25)) | (~v96(constB25))))))),
% 8.31/5.84 inference(rewrite,[status(thm)],[])).
% 8.31/5.84 tff(8639,plain,
% 8.31/5.84 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB24, constB25)) | (v95(constB25) <=> (~((~v96(constB25)) | (~v1(constB25))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB24, constB25)) | (v95(constB25) <=> (~((~v1(constB25)) | (~v96(constB25)))))))),
% 8.31/5.84 inference(monotonicity,[status(thm)],[8638])).
% 8.31/5.84 tff(8640,plain,
% 8.31/5.84 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB24, constB25)) | (v95(constB25) <=> (~((~v96(constB25)) | (~v1(constB25))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB24, constB25)) | (v95(constB25) <=> (~((~v1(constB25)) | (~v96(constB25))))))),
% 8.31/5.84 inference(transitivity,[status(thm)],[8639, 8637])).
% 8.31/5.84 tff(8641,plain,
% 8.31/5.84 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB24, constB25)) | (v95(constB25) <=> (~((~v96(constB25)) | (~v1(constB25))))))),
% 8.31/5.84 inference(quant_inst,[status(thm)],[])).
% 8.31/5.84 tff(8642,plain,
% 8.31/5.84 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB24, constB25)) | (v95(constB25) <=> (~((~v1(constB25)) | (~v96(constB25)))))),
% 8.31/5.84 inference(modus_ponens,[status(thm)],[8641, 8640])).
% 8.31/5.84 tff(8643,plain,
% 8.31/5.84 (v95(constB25) <=> (~((~v1(constB25)) | (~v96(constB25))))),
% 8.31/5.84 inference(unit_resolution,[status(thm)],[8642, 8632, 795])).
% 8.31/5.84 tff(8644,plain,
% 8.31/5.84 (((~v1(constB25)) | (~v96(constB25))) | v1(constB25)),
% 8.31/5.84 inference(tautology,[status(thm)],[])).
% 8.31/5.84 tff(8645,plain,
% 8.31/5.84 ((~v1(constB25)) | (~v96(constB25))),
% 8.31/5.84 inference(unit_resolution,[status(thm)],[8644, 8599])).
% 8.31/5.84 tff(8646,plain,
% 8.31/5.84 ((~(v95(constB25) <=> (~((~v1(constB25)) | (~v96(constB25)))))) | (~v95(constB25)) | (~((~v1(constB25)) | (~v96(constB25))))),
% 8.31/5.84 inference(tautology,[status(thm)],[])).
% 8.31/5.84 tff(8647,plain,
% 8.31/5.84 ((~(v95(constB25) <=> (~((~v1(constB25)) | (~v96(constB25)))))) | (~v95(constB25))),
% 8.31/5.84 inference(unit_resolution,[status(thm)],[8646, 8645])).
% 8.31/5.84 tff(8648,plain,
% 8.31/5.84 (~v95(constB25)),
% 8.31/5.84 inference(unit_resolution,[status(thm)],[8647, 8643])).
% 8.31/5.84 tff(8649,plain,
% 8.31/5.84 (((~v104(constB25)) | (~v95(constB25))) | v95(constB25)),
% 8.31/5.84 inference(tautology,[status(thm)],[])).
% 8.31/5.84 tff(8650,plain,
% 8.31/5.84 ((~v104(constB25)) | (~v95(constB25))),
% 8.31/5.84 inference(unit_resolution,[status(thm)],[8649, 8648])).
% 8.31/5.84 tff(8651,plain,
% 8.31/5.84 ((~(v94(constB25) <=> (~((~v104(constB25)) | (~v95(constB25)))))) | (~v94(constB25)) | (~((~v104(constB25)) | (~v95(constB25))))),
% 8.31/5.84 inference(tautology,[status(thm)],[])).
% 8.31/5.84 tff(8652,plain,
% 8.31/5.84 (~v94(constB25)),
% 8.31/5.84 inference(unit_resolution,[status(thm)],[8651, 8650, 8636])).
% 8.31/5.84 tff(8653,plain,
% 8.31/5.84 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB25) | (~nextState(constB24, constB25)) | ![B: $i] : ((~less_3(B)) | (v84(constB25, B) <=> v84(constB24, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB25) | (~nextState(constB24, constB25)) | ![B: $i] : ((~less_3(B)) | (v84(constB25, B) <=> v84(constB24, B))))),
% 8.31/5.84 inference(rewrite,[status(thm)],[])).
% 8.31/5.84 tff(8654,plain,
% 8.31/5.84 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB25) | (~nextState(constB24, constB25)) | ![B: $i] : ((~less_3(B)) | (v84(constB25, B) <=> v84(constB24, B))))),
% 8.31/5.84 inference(quant_inst,[status(thm)],[])).
% 8.31/5.84 tff(8655,plain,
% 8.31/5.84 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB25) | (~nextState(constB24, constB25)) | ![B: $i] : ((~less_3(B)) | (v84(constB25, B) <=> v84(constB24, B)))),
% 8.31/5.84 inference(modus_ponens,[status(thm)],[8654, 8653])).
% 8.31/5.84 tff(8656,plain,
% 8.31/5.84 (v94(constB25) | ![B: $i] : ((~less_3(B)) | (v84(constB25, B) <=> v84(constB24, B)))),
% 8.31/5.84 inference(unit_resolution,[status(thm)],[8655, 8632, 824])).
% 8.31/5.84 tff(8657,plain,
% 8.31/5.84 (![B: $i] : ((~less_3(B)) | (v84(constB25, B) <=> v84(constB24, B)))),
% 8.31/5.84 inference(unit_resolution,[status(thm)],[8656, 8652])).
% 8.31/5.84 tff(8658,plain,
% 8.31/5.84 (((~![B: $i] : ((~less_3(B)) | (v84(constB25, B) <=> v84(constB24, B)))) | ((~less_3(bitIndex2)) | (v84(constB25, bitIndex2) <=> v84(constB24, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB25, B) <=> v84(constB24, B)))) | (~less_3(bitIndex2)) | (v84(constB25, bitIndex2) <=> v84(constB24, bitIndex2)))),
% 8.31/5.84 inference(rewrite,[status(thm)],[])).
% 8.31/5.84 tff(8659,plain,
% 8.31/5.84 ((~![B: $i] : ((~less_3(B)) | (v84(constB25, B) <=> v84(constB24, B)))) | ((~less_3(bitIndex2)) | (v84(constB25, bitIndex2) <=> v84(constB24, bitIndex2)))),
% 8.31/5.84 inference(quant_inst,[status(thm)],[])).
% 8.31/5.84 tff(8660,plain,
% 8.31/5.84 ((~![B: $i] : ((~less_3(B)) | (v84(constB25, B) <=> v84(constB24, B)))) | (~less_3(bitIndex2)) | (v84(constB25, bitIndex2) <=> v84(constB24, bitIndex2))),
% 8.31/5.84 inference(modus_ponens,[status(thm)],[8659, 8658])).
% 8.31/5.84 tff(8661,plain,
% 8.31/5.84 (v84(constB25, bitIndex2) <=> v84(constB24, bitIndex2)),
% 8.31/5.84 inference(unit_resolution,[status(thm)],[8660, 832, 8657])).
% 8.31/5.84 tff(8662,plain,
% 8.31/5.84 (nextState(constB23, constB24) <=> nextState(constB23, constB24)),
% 8.31/5.84 inference(rewrite,[status(thm)],[])).
% 8.31/5.84 tff(8663,axiom,(nextState(constB23, constB24)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_23')).
% 8.31/5.84 tff(8664,plain,
% 8.31/5.84 (nextState(constB23, constB24)),
% 8.31/5.84 inference(modus_ponens,[status(thm)],[8663, 8662])).
% 8.31/5.84 tff(8665,plain,
% 8.31/5.84 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB23, constB24)) | (v94(constB24) <=> (~((~v104(constB24)) | (~v95(constB24))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB23, constB24)) | (v94(constB24) <=> (~((~v104(constB24)) | (~v95(constB24))))))),
% 8.31/5.84 inference(rewrite,[status(thm)],[])).
% 8.31/5.84 tff(8666,plain,
% 8.31/5.84 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB23, constB24)) | (v94(constB24) <=> (~((~v104(constB24)) | (~v95(constB24))))))),
% 8.31/5.84 inference(quant_inst,[status(thm)],[])).
% 8.31/5.84 tff(8667,plain,
% 8.31/5.84 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB23, constB24)) | (v94(constB24) <=> (~((~v104(constB24)) | (~v95(constB24)))))),
% 8.31/5.84 inference(modus_ponens,[status(thm)],[8666, 8665])).
% 8.31/5.84 tff(8668,plain,
% 8.31/5.84 (v94(constB24) <=> (~((~v104(constB24)) | (~v95(constB24))))),
% 8.31/5.84 inference(unit_resolution,[status(thm)],[8667, 8664, 775])).
% 8.31/5.84 tff(8669,plain,
% 8.31/5.84 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB23, constB24)) | (v95(constB24) <=> (~((~v1(constB24)) | (~v96(constB24))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB23, constB24)) | (v95(constB24) <=> (~((~v1(constB24)) | (~v96(constB24))))))),
% 8.31/5.84 inference(rewrite,[status(thm)],[])).
% 8.31/5.84 tff(8670,plain,
% 8.31/5.84 (((~nextState(constB23, constB24)) | (v95(constB24) <=> (~((~v96(constB24)) | (~v1(constB24)))))) <=> ((~nextState(constB23, constB24)) | (v95(constB24) <=> (~((~v1(constB24)) | (~v96(constB24))))))),
% 8.31/5.84 inference(rewrite,[status(thm)],[])).
% 8.31/5.84 tff(8671,plain,
% 8.31/5.84 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB23, constB24)) | (v95(constB24) <=> (~((~v96(constB24)) | (~v1(constB24))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB23, constB24)) | (v95(constB24) <=> (~((~v1(constB24)) | (~v96(constB24)))))))),
% 8.31/5.84 inference(monotonicity,[status(thm)],[8670])).
% 8.31/5.84 tff(8672,plain,
% 8.31/5.84 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB23, constB24)) | (v95(constB24) <=> (~((~v96(constB24)) | (~v1(constB24))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB23, constB24)) | (v95(constB24) <=> (~((~v1(constB24)) | (~v96(constB24))))))),
% 8.31/5.84 inference(transitivity,[status(thm)],[8671, 8669])).
% 8.31/5.84 tff(8673,plain,
% 8.31/5.84 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB23, constB24)) | (v95(constB24) <=> (~((~v96(constB24)) | (~v1(constB24))))))),
% 8.31/5.84 inference(quant_inst,[status(thm)],[])).
% 8.31/5.84 tff(8674,plain,
% 8.31/5.84 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB23, constB24)) | (v95(constB24) <=> (~((~v1(constB24)) | (~v96(constB24)))))),
% 8.31/5.84 inference(modus_ponens,[status(thm)],[8673, 8672])).
% 8.31/5.84 tff(8675,plain,
% 8.31/5.84 (v95(constB24) <=> (~((~v1(constB24)) | (~v96(constB24))))),
% 8.31/5.84 inference(unit_resolution,[status(thm)],[8674, 8664, 795])).
% 8.31/5.84 tff(8676,plain,
% 8.31/5.84 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB23, constB24)) | ((~v96(constB24)) <=> v98(constB24)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB23, constB24)) | ((~v96(constB24)) <=> v98(constB24)))),
% 8.31/5.84 inference(rewrite,[status(thm)],[])).
% 8.31/5.84 tff(8677,plain,
% 8.31/5.84 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB23, constB24)) | ((~v96(constB24)) <=> v98(constB24)))),
% 8.31/5.84 inference(quant_inst,[status(thm)],[])).
% 8.31/5.84 tff(8678,plain,
% 8.31/5.84 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB23, constB24)) | ((~v96(constB24)) <=> v98(constB24))),
% 8.31/5.84 inference(modus_ponens,[status(thm)],[8677, 8676])).
% 8.31/5.84 tff(8679,plain,
% 8.31/5.84 ((~v96(constB24)) <=> v98(constB24)),
% 8.31/5.84 inference(unit_resolution,[status(thm)],[8678, 8664, 860])).
% 8.31/5.84 tff(8680,plain,
% 8.31/5.84 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB23, constB24)) | (v98(constB24) <=> v1(constB23)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB23, constB24)) | (v98(constB24) <=> v1(constB23)))),
% 8.31/5.84 inference(rewrite,[status(thm)],[])).
% 8.31/5.84 tff(8681,plain,
% 8.31/5.84 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB23, constB24)) | (v98(constB24) <=> v1(constB23)))),
% 8.31/5.84 inference(quant_inst,[status(thm)],[])).
% 8.31/5.84 tff(8682,plain,
% 8.31/5.84 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB23, constB24)) | (v98(constB24) <=> v1(constB23))),
% 8.31/5.84 inference(modus_ponens,[status(thm)],[8681, 8680])).
% 8.31/5.84 tff(8683,plain,
% 8.31/5.84 (v98(constB24) <=> v1(constB23)),
% 8.31/5.84 inference(unit_resolution,[status(thm)],[8682, 8664, 874])).
% 8.31/5.84 tff(8684,plain,
% 8.31/5.84 ((~v1(constB23)) <=> (~v1(constB23))),
% 8.31/5.84 inference(rewrite,[status(thm)],[])).
% 8.31/5.84 tff(8685,axiom,(~v1(constB23)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_23')).
% 8.31/5.84 tff(8686,plain,
% 8.31/5.84 (~v1(constB23)),
% 8.31/5.84 inference(modus_ponens,[status(thm)],[8685, 8684])).
% 8.31/5.84 tff(8687,plain,
% 8.31/5.84 ((~(v98(constB24) <=> v1(constB23))) | (~v98(constB24)) | v1(constB23)),
% 8.31/5.84 inference(tautology,[status(thm)],[])).
% 8.31/5.84 tff(8688,plain,
% 8.31/5.84 ((~(v98(constB24) <=> v1(constB23))) | (~v98(constB24))),
% 8.31/5.84 inference(unit_resolution,[status(thm)],[8687, 8686])).
% 8.31/5.84 tff(8689,plain,
% 8.31/5.84 (~v98(constB24)),
% 8.31/5.84 inference(unit_resolution,[status(thm)],[8688, 8683])).
% 8.31/5.84 tff(8690,plain,
% 8.31/5.84 ((~((~v96(constB24)) <=> v98(constB24))) | v96(constB24) | v98(constB24)),
% 8.31/5.84 inference(tautology,[status(thm)],[])).
% 8.31/5.84 tff(8691,plain,
% 8.31/5.84 (v96(constB24)),
% 8.31/5.84 inference(unit_resolution,[status(thm)],[8690, 8689, 8679])).
% 8.31/5.84 tff(8692,plain,
% 8.31/5.84 (v1(constB24) <=> v1(constB24)),
% 8.31/5.84 inference(rewrite,[status(thm)],[])).
% 8.31/5.84 tff(8693,axiom,(v1(constB24)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_24')).
% 8.31/5.84 tff(8694,plain,
% 8.31/5.84 (v1(constB24)),
% 8.31/5.84 inference(modus_ponens,[status(thm)],[8693, 8692])).
% 8.31/5.84 tff(8695,plain,
% 8.31/5.84 ((~((~v1(constB24)) | (~v96(constB24)))) | (~v1(constB24)) | (~v96(constB24))),
% 8.31/5.84 inference(tautology,[status(thm)],[])).
% 8.31/5.84 tff(8696,plain,
% 8.31/5.84 ((~((~v1(constB24)) | (~v96(constB24)))) | (~v96(constB24))),
% 8.31/5.84 inference(unit_resolution,[status(thm)],[8695, 8694])).
% 8.31/5.84 tff(8697,plain,
% 8.31/5.84 (~((~v1(constB24)) | (~v96(constB24)))),
% 8.31/5.84 inference(unit_resolution,[status(thm)],[8696, 8691])).
% 8.31/5.84 tff(8698,plain,
% 8.31/5.84 ((~(v95(constB24) <=> (~((~v1(constB24)) | (~v96(constB24)))))) | v95(constB24) | ((~v1(constB24)) | (~v96(constB24)))),
% 8.31/5.84 inference(tautology,[status(thm)],[])).
% 8.31/5.84 tff(8699,plain,
% 8.31/5.84 (v95(constB24)),
% 8.31/5.84 inference(unit_resolution,[status(thm)],[8698, 8697, 8675])).
% 8.31/5.84 tff(8700,plain,
% 8.31/5.84 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB23, constB24)) | (v104(constB24) <=> v102(constB23)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB23, constB24)) | (v104(constB24) <=> v102(constB23)))),
% 8.31/5.84 inference(rewrite,[status(thm)],[])).
% 8.31/5.84 tff(8701,plain,
% 8.31/5.84 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB23, constB24)) | (v104(constB24) <=> v102(constB23)))),
% 8.31/5.84 inference(quant_inst,[status(thm)],[])).
% 8.31/5.84 tff(8702,plain,
% 8.31/5.84 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB23, constB24)) | (v104(constB24) <=> v102(constB23))),
% 8.31/5.84 inference(modus_ponens,[status(thm)],[8701, 8700])).
% 8.31/5.84 tff(8703,plain,
% 8.31/5.84 (v104(constB24) <=> v102(constB23)),
% 8.31/5.84 inference(unit_resolution,[status(thm)],[8702, 8664, 904])).
% 8.31/5.84 tff(8704,plain,
% 8.31/5.84 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB23) <=> (v105(constB23) | v106(constB23)))),
% 8.31/5.84 inference(quant_inst,[status(thm)],[])).
% 8.31/5.84 tff(8705,plain,
% 8.31/5.84 (v102(constB23) <=> (v105(constB23) | v106(constB23))),
% 8.31/5.84 inference(unit_resolution,[status(thm)],[8704, 915])).
% 8.31/5.84 tff(8706,plain,
% 8.31/5.84 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB23) <=> (~((~v107(constB23)) | (~v120(constB23)))))),
% 8.31/5.84 inference(quant_inst,[status(thm)],[])).
% 8.31/5.84 tff(8707,plain,
% 8.31/5.84 (v106(constB23) <=> (~((~v107(constB23)) | (~v120(constB23))))),
% 8.31/5.84 inference(unit_resolution,[status(thm)],[8706, 927])).
% 8.31/5.84 tff(8708,plain,
% 8.31/5.84 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB23) <=> (v108(constB23) | v119(constB23)))),
% 8.31/5.84 inference(quant_inst,[status(thm)],[])).
% 8.31/5.84 tff(8709,plain,
% 8.31/5.84 (v107(constB23) <=> (v108(constB23) | v119(constB23))),
% 8.31/5.84 inference(unit_resolution,[status(thm)],[8708, 936])).
% 8.31/5.84 tff(8710,plain,
% 8.31/5.84 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB23) <=> (v109(constB23) | v118(constB23)))),
% 8.31/5.84 inference(quant_inst,[status(thm)],[])).
% 8.31/5.84 tff(8711,plain,
% 8.31/5.84 (v108(constB23) <=> (v109(constB23) | v118(constB23))),
% 8.31/5.84 inference(unit_resolution,[status(thm)],[8710, 945])).
% 8.31/5.84 tff(8712,plain,
% 8.31/5.84 (((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB23) <=> (~((~v84(constB23, bitIndex2)) | v84(constB23, bitIndex1) | (~v84(constB23, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB23) <=> (~((~v84(constB23, bitIndex2)) | v84(constB23, bitIndex1) | (~v84(constB23, bitIndex0))))))),
% 8.31/5.84 inference(rewrite,[status(thm)],[])).
% 8.31/5.84 tff(8713,plain,
% 8.31/5.84 ((v118(constB23) <=> (~(v84(constB23, bitIndex1) | (~v84(constB23, bitIndex0)) | (~v84(constB23, bitIndex2))))) <=> (v118(constB23) <=> (~((~v84(constB23, bitIndex2)) | v84(constB23, bitIndex1) | (~v84(constB23, bitIndex0)))))),
% 8.31/5.84 inference(rewrite,[status(thm)],[])).
% 8.31/5.84 tff(8714,plain,
% 8.31/5.84 (((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB23) <=> (~(v84(constB23, bitIndex1) | (~v84(constB23, bitIndex0)) | (~v84(constB23, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB23) <=> (~((~v84(constB23, bitIndex2)) | v84(constB23, bitIndex1) | (~v84(constB23, bitIndex0))))))),
% 8.31/5.84 inference(monotonicity,[status(thm)],[8713])).
% 8.31/5.84 tff(8715,plain,
% 8.31/5.84 (((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB23) <=> (~(v84(constB23, bitIndex1) | (~v84(constB23, bitIndex0)) | (~v84(constB23, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB23) <=> (~((~v84(constB23, bitIndex2)) | v84(constB23, bitIndex1) | (~v84(constB23, bitIndex0))))))),
% 8.31/5.84 inference(transitivity,[status(thm)],[8714, 8712])).
% 8.31/5.84 tff(8716,plain,
% 8.31/5.84 ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB23) <=> (~(v84(constB23, bitIndex1) | (~v84(constB23, bitIndex0)) | (~v84(constB23, bitIndex2)))))),
% 8.31/5.84 inference(quant_inst,[status(thm)],[])).
% 8.31/5.84 tff(8717,plain,
% 8.31/5.84 ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB23) <=> (~((~v84(constB23, bitIndex2)) | v84(constB23, bitIndex1) | (~v84(constB23, bitIndex0)))))),
% 8.31/5.84 inference(modus_ponens,[status(thm)],[8716, 8715])).
% 8.31/5.84 tff(8718,plain,
% 8.31/5.84 (v118(constB23) <=> (~((~v84(constB23, bitIndex2)) | v84(constB23, bitIndex1) | (~v84(constB23, bitIndex0))))),
% 8.31/5.84 inference(unit_resolution,[status(thm)],[8717, 960])).
% 8.31/5.84 tff(8719,plain,
% 8.31/5.84 (nextState(constB22, constB23) <=> nextState(constB22, constB23)),
% 8.31/5.84 inference(rewrite,[status(thm)],[])).
% 8.31/5.84 tff(8720,axiom,(nextState(constB22, constB23)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_22')).
% 8.31/5.84 tff(8721,plain,
% 8.31/5.84 (nextState(constB22, constB23)),
% 8.31/5.84 inference(modus_ponens,[status(thm)],[8720, 8719])).
% 8.31/5.84 tff(8722,plain,
% 8.31/5.84 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB22, constB23)) | (v94(constB23) <=> (~((~v104(constB23)) | (~v95(constB23))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB22, constB23)) | (v94(constB23) <=> (~((~v104(constB23)) | (~v95(constB23))))))),
% 8.31/5.84 inference(rewrite,[status(thm)],[])).
% 8.31/5.84 tff(8723,plain,
% 8.31/5.84 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB22, constB23)) | (v94(constB23) <=> (~((~v104(constB23)) | (~v95(constB23))))))),
% 8.31/5.84 inference(quant_inst,[status(thm)],[])).
% 8.31/5.84 tff(8724,plain,
% 8.31/5.84 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB22, constB23)) | (v94(constB23) <=> (~((~v104(constB23)) | (~v95(constB23)))))),
% 8.31/5.84 inference(modus_ponens,[status(thm)],[8723, 8722])).
% 8.31/5.84 tff(8725,plain,
% 8.31/5.84 (v94(constB23) <=> (~((~v104(constB23)) | (~v95(constB23))))),
% 8.31/5.84 inference(unit_resolution,[status(thm)],[8724, 8721, 775])).
% 8.31/5.84 tff(8726,plain,
% 8.31/5.84 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB22, constB23)) | (v95(constB23) <=> (~((~v1(constB23)) | (~v96(constB23))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB22, constB23)) | (v95(constB23) <=> (~((~v1(constB23)) | (~v96(constB23))))))),
% 8.31/5.84 inference(rewrite,[status(thm)],[])).
% 8.31/5.84 tff(8727,plain,
% 8.31/5.84 (((~nextState(constB22, constB23)) | (v95(constB23) <=> (~((~v96(constB23)) | (~v1(constB23)))))) <=> ((~nextState(constB22, constB23)) | (v95(constB23) <=> (~((~v1(constB23)) | (~v96(constB23))))))),
% 8.31/5.84 inference(rewrite,[status(thm)],[])).
% 8.31/5.84 tff(8728,plain,
% 8.31/5.84 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB22, constB23)) | (v95(constB23) <=> (~((~v96(constB23)) | (~v1(constB23))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB22, constB23)) | (v95(constB23) <=> (~((~v1(constB23)) | (~v96(constB23)))))))),
% 8.31/5.84 inference(monotonicity,[status(thm)],[8727])).
% 8.31/5.84 tff(8729,plain,
% 8.31/5.85 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB22, constB23)) | (v95(constB23) <=> (~((~v96(constB23)) | (~v1(constB23))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB22, constB23)) | (v95(constB23) <=> (~((~v1(constB23)) | (~v96(constB23))))))),
% 8.31/5.85 inference(transitivity,[status(thm)],[8728, 8726])).
% 8.31/5.85 tff(8730,plain,
% 8.31/5.85 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB22, constB23)) | (v95(constB23) <=> (~((~v96(constB23)) | (~v1(constB23))))))),
% 8.31/5.85 inference(quant_inst,[status(thm)],[])).
% 8.31/5.85 tff(8731,plain,
% 8.31/5.85 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB22, constB23)) | (v95(constB23) <=> (~((~v1(constB23)) | (~v96(constB23)))))),
% 8.31/5.85 inference(modus_ponens,[status(thm)],[8730, 8729])).
% 8.31/5.85 tff(8732,plain,
% 8.31/5.85 (v95(constB23) <=> (~((~v1(constB23)) | (~v96(constB23))))),
% 8.31/5.85 inference(unit_resolution,[status(thm)],[8731, 8721, 795])).
% 8.31/5.85 tff(8733,plain,
% 8.31/5.85 (((~v1(constB23)) | (~v96(constB23))) | v1(constB23)),
% 8.31/5.85 inference(tautology,[status(thm)],[])).
% 8.31/5.85 tff(8734,plain,
% 8.31/5.85 ((~v1(constB23)) | (~v96(constB23))),
% 8.31/5.85 inference(unit_resolution,[status(thm)],[8733, 8686])).
% 8.31/5.85 tff(8735,plain,
% 8.31/5.85 ((~(v95(constB23) <=> (~((~v1(constB23)) | (~v96(constB23)))))) | (~v95(constB23)) | (~((~v1(constB23)) | (~v96(constB23))))),
% 8.31/5.85 inference(tautology,[status(thm)],[])).
% 8.31/5.85 tff(8736,plain,
% 8.31/5.85 ((~(v95(constB23) <=> (~((~v1(constB23)) | (~v96(constB23)))))) | (~v95(constB23))),
% 8.31/5.85 inference(unit_resolution,[status(thm)],[8735, 8734])).
% 8.31/5.85 tff(8737,plain,
% 8.31/5.85 (~v95(constB23)),
% 8.31/5.85 inference(unit_resolution,[status(thm)],[8736, 8732])).
% 8.31/5.85 tff(8738,plain,
% 8.31/5.85 (((~v104(constB23)) | (~v95(constB23))) | v95(constB23)),
% 8.31/5.85 inference(tautology,[status(thm)],[])).
% 8.31/5.85 tff(8739,plain,
% 8.31/5.85 ((~v104(constB23)) | (~v95(constB23))),
% 8.31/5.85 inference(unit_resolution,[status(thm)],[8738, 8737])).
% 8.31/5.85 tff(8740,plain,
% 8.31/5.85 ((~(v94(constB23) <=> (~((~v104(constB23)) | (~v95(constB23)))))) | (~v94(constB23)) | (~((~v104(constB23)) | (~v95(constB23))))),
% 8.31/5.85 inference(tautology,[status(thm)],[])).
% 8.31/5.85 tff(8741,plain,
% 8.31/5.85 (~v94(constB23)),
% 8.31/5.85 inference(unit_resolution,[status(thm)],[8740, 8739, 8725])).
% 8.31/5.85 tff(8742,plain,
% 8.31/5.85 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB23) | (~nextState(constB22, constB23)) | ![B: $i] : ((~less_3(B)) | (v84(constB23, B) <=> v84(constB22, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB23) | (~nextState(constB22, constB23)) | ![B: $i] : ((~less_3(B)) | (v84(constB23, B) <=> v84(constB22, B))))),
% 8.31/5.85 inference(rewrite,[status(thm)],[])).
% 8.31/5.85 tff(8743,plain,
% 8.31/5.85 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB23) | (~nextState(constB22, constB23)) | ![B: $i] : ((~less_3(B)) | (v84(constB23, B) <=> v84(constB22, B))))),
% 8.31/5.85 inference(quant_inst,[status(thm)],[])).
% 8.31/5.85 tff(8744,plain,
% 8.31/5.85 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB23) | (~nextState(constB22, constB23)) | ![B: $i] : ((~less_3(B)) | (v84(constB23, B) <=> v84(constB22, B)))),
% 8.31/5.85 inference(modus_ponens,[status(thm)],[8743, 8742])).
% 8.31/5.85 tff(8745,plain,
% 8.31/5.85 (v94(constB23) | ![B: $i] : ((~less_3(B)) | (v84(constB23, B) <=> v84(constB22, B)))),
% 8.31/5.85 inference(unit_resolution,[status(thm)],[8744, 8721, 824])).
% 8.31/5.85 tff(8746,plain,
% 8.31/5.85 (![B: $i] : ((~less_3(B)) | (v84(constB23, B) <=> v84(constB22, B)))),
% 8.31/5.85 inference(unit_resolution,[status(thm)],[8745, 8741])).
% 8.31/5.85 tff(8747,plain,
% 8.31/5.85 (((~![B: $i] : ((~less_3(B)) | (v84(constB23, B) <=> v84(constB22, B)))) | ((~less_3(bitIndex2)) | (v84(constB23, bitIndex2) <=> v84(constB22, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB23, B) <=> v84(constB22, B)))) | (~less_3(bitIndex2)) | (v84(constB23, bitIndex2) <=> v84(constB22, bitIndex2)))),
% 8.31/5.85 inference(rewrite,[status(thm)],[])).
% 8.31/5.85 tff(8748,plain,
% 8.31/5.85 ((~![B: $i] : ((~less_3(B)) | (v84(constB23, B) <=> v84(constB22, B)))) | ((~less_3(bitIndex2)) | (v84(constB23, bitIndex2) <=> v84(constB22, bitIndex2)))),
% 8.31/5.85 inference(quant_inst,[status(thm)],[])).
% 8.31/5.85 tff(8749,plain,
% 8.31/5.85 ((~![B: $i] : ((~less_3(B)) | (v84(constB23, B) <=> v84(constB22, B)))) | (~less_3(bitIndex2)) | (v84(constB23, bitIndex2) <=> v84(constB22, bitIndex2))),
% 8.31/5.85 inference(modus_ponens,[status(thm)],[8748, 8747])).
% 8.31/5.85 tff(8750,plain,
% 8.31/5.85 (v84(constB23, bitIndex2) <=> v84(constB22, bitIndex2)),
% 8.31/5.85 inference(unit_resolution,[status(thm)],[8749, 832, 8746])).
% 8.31/5.85 tff(8751,plain,
% 8.31/5.85 (nextState(constB21, constB22) <=> nextState(constB21, constB22)),
% 8.31/5.85 inference(rewrite,[status(thm)],[])).
% 8.31/5.85 tff(8752,axiom,(nextState(constB21, constB22)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_21')).
% 8.31/5.85 tff(8753,plain,
% 8.31/5.85 (nextState(constB21, constB22)),
% 8.31/5.85 inference(modus_ponens,[status(thm)],[8752, 8751])).
% 8.31/5.85 tff(8754,plain,
% 8.31/5.85 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB21, constB22)) | (v94(constB22) <=> (~((~v104(constB22)) | (~v95(constB22))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB21, constB22)) | (v94(constB22) <=> (~((~v104(constB22)) | (~v95(constB22))))))),
% 8.31/5.85 inference(rewrite,[status(thm)],[])).
% 8.31/5.85 tff(8755,plain,
% 8.31/5.85 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB21, constB22)) | (v94(constB22) <=> (~((~v104(constB22)) | (~v95(constB22))))))),
% 8.31/5.85 inference(quant_inst,[status(thm)],[])).
% 8.31/5.85 tff(8756,plain,
% 8.31/5.85 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB21, constB22)) | (v94(constB22) <=> (~((~v104(constB22)) | (~v95(constB22)))))),
% 8.31/5.85 inference(modus_ponens,[status(thm)],[8755, 8754])).
% 8.31/5.85 tff(8757,plain,
% 8.31/5.85 (v94(constB22) <=> (~((~v104(constB22)) | (~v95(constB22))))),
% 8.31/5.85 inference(unit_resolution,[status(thm)],[8756, 8753, 775])).
% 8.31/5.85 tff(8758,plain,
% 8.31/5.85 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB21, constB22)) | (v95(constB22) <=> (~((~v1(constB22)) | (~v96(constB22))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB21, constB22)) | (v95(constB22) <=> (~((~v1(constB22)) | (~v96(constB22))))))),
% 8.31/5.85 inference(rewrite,[status(thm)],[])).
% 8.31/5.85 tff(8759,plain,
% 8.31/5.85 (((~nextState(constB21, constB22)) | (v95(constB22) <=> (~((~v96(constB22)) | (~v1(constB22)))))) <=> ((~nextState(constB21, constB22)) | (v95(constB22) <=> (~((~v1(constB22)) | (~v96(constB22))))))),
% 8.31/5.85 inference(rewrite,[status(thm)],[])).
% 8.31/5.85 tff(8760,plain,
% 8.31/5.85 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB21, constB22)) | (v95(constB22) <=> (~((~v96(constB22)) | (~v1(constB22))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB21, constB22)) | (v95(constB22) <=> (~((~v1(constB22)) | (~v96(constB22)))))))),
% 8.31/5.85 inference(monotonicity,[status(thm)],[8759])).
% 8.31/5.85 tff(8761,plain,
% 8.31/5.85 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB21, constB22)) | (v95(constB22) <=> (~((~v96(constB22)) | (~v1(constB22))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB21, constB22)) | (v95(constB22) <=> (~((~v1(constB22)) | (~v96(constB22))))))),
% 8.31/5.85 inference(transitivity,[status(thm)],[8760, 8758])).
% 8.31/5.85 tff(8762,plain,
% 8.31/5.85 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB21, constB22)) | (v95(constB22) <=> (~((~v96(constB22)) | (~v1(constB22))))))),
% 8.31/5.85 inference(quant_inst,[status(thm)],[])).
% 8.31/5.85 tff(8763,plain,
% 8.31/5.85 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB21, constB22)) | (v95(constB22) <=> (~((~v1(constB22)) | (~v96(constB22)))))),
% 8.31/5.85 inference(modus_ponens,[status(thm)],[8762, 8761])).
% 8.31/5.85 tff(8764,plain,
% 8.31/5.85 (v95(constB22) <=> (~((~v1(constB22)) | (~v96(constB22))))),
% 8.31/5.85 inference(unit_resolution,[status(thm)],[8763, 8753, 795])).
% 8.31/5.85 tff(8765,plain,
% 8.31/5.85 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB21, constB22)) | ((~v96(constB22)) <=> v98(constB22)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB21, constB22)) | ((~v96(constB22)) <=> v98(constB22)))),
% 8.31/5.85 inference(rewrite,[status(thm)],[])).
% 8.31/5.85 tff(8766,plain,
% 8.31/5.85 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB21, constB22)) | ((~v96(constB22)) <=> v98(constB22)))),
% 8.31/5.85 inference(quant_inst,[status(thm)],[])).
% 8.31/5.85 tff(8767,plain,
% 8.31/5.85 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB21, constB22)) | ((~v96(constB22)) <=> v98(constB22))),
% 8.31/5.85 inference(modus_ponens,[status(thm)],[8766, 8765])).
% 8.31/5.85 tff(8768,plain,
% 8.31/5.85 ((~v96(constB22)) <=> v98(constB22)),
% 8.31/5.85 inference(unit_resolution,[status(thm)],[8767, 8753, 860])).
% 8.31/5.85 tff(8769,plain,
% 8.31/5.85 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB21, constB22)) | (v98(constB22) <=> v1(constB21)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB21, constB22)) | (v98(constB22) <=> v1(constB21)))),
% 8.31/5.85 inference(rewrite,[status(thm)],[])).
% 8.31/5.85 tff(8770,plain,
% 8.31/5.85 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB21, constB22)) | (v98(constB22) <=> v1(constB21)))),
% 8.31/5.85 inference(quant_inst,[status(thm)],[])).
% 8.31/5.85 tff(8771,plain,
% 8.31/5.85 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB21, constB22)) | (v98(constB22) <=> v1(constB21))),
% 8.31/5.85 inference(modus_ponens,[status(thm)],[8770, 8769])).
% 8.31/5.85 tff(8772,plain,
% 8.31/5.85 (v98(constB22) <=> v1(constB21)),
% 8.31/5.85 inference(unit_resolution,[status(thm)],[8771, 8753, 874])).
% 8.31/5.85 tff(8773,plain,
% 8.31/5.85 ((~v1(constB21)) <=> (~v1(constB21))),
% 8.31/5.85 inference(rewrite,[status(thm)],[])).
% 8.31/5.85 tff(8774,axiom,(~v1(constB21)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_21')).
% 8.31/5.85 tff(8775,plain,
% 8.31/5.85 (~v1(constB21)),
% 8.31/5.85 inference(modus_ponens,[status(thm)],[8774, 8773])).
% 8.31/5.85 tff(8776,plain,
% 8.31/5.85 ((~(v98(constB22) <=> v1(constB21))) | (~v98(constB22)) | v1(constB21)),
% 8.31/5.85 inference(tautology,[status(thm)],[])).
% 8.31/5.85 tff(8777,plain,
% 8.31/5.85 ((~(v98(constB22) <=> v1(constB21))) | (~v98(constB22))),
% 8.31/5.85 inference(unit_resolution,[status(thm)],[8776, 8775])).
% 8.31/5.85 tff(8778,plain,
% 8.31/5.85 (~v98(constB22)),
% 8.31/5.85 inference(unit_resolution,[status(thm)],[8777, 8772])).
% 8.31/5.85 tff(8779,plain,
% 8.31/5.85 ((~((~v96(constB22)) <=> v98(constB22))) | v96(constB22) | v98(constB22)),
% 8.31/5.85 inference(tautology,[status(thm)],[])).
% 8.31/5.85 tff(8780,plain,
% 8.31/5.85 (v96(constB22)),
% 8.31/5.85 inference(unit_resolution,[status(thm)],[8779, 8778, 8768])).
% 8.31/5.85 tff(8781,plain,
% 8.31/5.85 (v1(constB22) <=> v1(constB22)),
% 8.31/5.85 inference(rewrite,[status(thm)],[])).
% 8.31/5.85 tff(8782,axiom,(v1(constB22)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_22')).
% 8.31/5.85 tff(8783,plain,
% 8.31/5.85 (v1(constB22)),
% 8.31/5.85 inference(modus_ponens,[status(thm)],[8782, 8781])).
% 8.31/5.85 tff(8784,plain,
% 8.31/5.85 ((~((~v1(constB22)) | (~v96(constB22)))) | (~v1(constB22)) | (~v96(constB22))),
% 8.31/5.85 inference(tautology,[status(thm)],[])).
% 8.31/5.85 tff(8785,plain,
% 8.31/5.85 ((~((~v1(constB22)) | (~v96(constB22)))) | (~v96(constB22))),
% 8.31/5.85 inference(unit_resolution,[status(thm)],[8784, 8783])).
% 8.31/5.85 tff(8786,plain,
% 8.31/5.85 (~((~v1(constB22)) | (~v96(constB22)))),
% 8.31/5.85 inference(unit_resolution,[status(thm)],[8785, 8780])).
% 8.31/5.85 tff(8787,plain,
% 8.31/5.85 ((~(v95(constB22) <=> (~((~v1(constB22)) | (~v96(constB22)))))) | v95(constB22) | ((~v1(constB22)) | (~v96(constB22)))),
% 8.31/5.85 inference(tautology,[status(thm)],[])).
% 8.31/5.85 tff(8788,plain,
% 8.31/5.85 (v95(constB22)),
% 8.31/5.85 inference(unit_resolution,[status(thm)],[8787, 8786, 8764])).
% 8.31/5.85 tff(8789,plain,
% 8.31/5.85 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB21, constB22)) | (v104(constB22) <=> v102(constB21)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB21, constB22)) | (v104(constB22) <=> v102(constB21)))),
% 8.31/5.85 inference(rewrite,[status(thm)],[])).
% 8.31/5.85 tff(8790,plain,
% 8.31/5.85 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB21, constB22)) | (v104(constB22) <=> v102(constB21)))),
% 8.31/5.85 inference(quant_inst,[status(thm)],[])).
% 8.31/5.85 tff(8791,plain,
% 8.31/5.85 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB21, constB22)) | (v104(constB22) <=> v102(constB21))),
% 8.31/5.85 inference(modus_ponens,[status(thm)],[8790, 8789])).
% 8.31/5.85 tff(8792,plain,
% 8.31/5.85 (v104(constB22) <=> v102(constB21)),
% 8.31/5.85 inference(unit_resolution,[status(thm)],[8791, 8753, 904])).
% 8.31/5.85 tff(8793,plain,
% 8.31/5.85 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB21) <=> (v105(constB21) | v106(constB21)))),
% 8.31/5.85 inference(quant_inst,[status(thm)],[])).
% 8.31/5.85 tff(8794,plain,
% 8.31/5.85 (v102(constB21) <=> (v105(constB21) | v106(constB21))),
% 8.31/5.85 inference(unit_resolution,[status(thm)],[8793, 915])).
% 8.31/5.85 tff(8795,plain,
% 8.31/5.85 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB21) <=> (~((~v107(constB21)) | (~v120(constB21)))))),
% 8.31/5.85 inference(quant_inst,[status(thm)],[])).
% 8.31/5.85 tff(8796,plain,
% 8.31/5.85 (v106(constB21) <=> (~((~v107(constB21)) | (~v120(constB21))))),
% 8.31/5.85 inference(unit_resolution,[status(thm)],[8795, 927])).
% 8.31/5.85 tff(8797,plain,
% 8.31/5.85 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB21) <=> (v108(constB21) | v119(constB21)))),
% 8.31/5.85 inference(quant_inst,[status(thm)],[])).
% 8.31/5.85 tff(8798,plain,
% 8.31/5.85 (v107(constB21) <=> (v108(constB21) | v119(constB21))),
% 8.31/5.85 inference(unit_resolution,[status(thm)],[8797, 936])).
% 8.31/5.85 tff(8799,plain,
% 8.31/5.85 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB21) <=> (v109(constB21) | v118(constB21)))),
% 8.31/5.85 inference(quant_inst,[status(thm)],[])).
% 8.31/5.85 tff(8800,plain,
% 8.31/5.85 (v108(constB21) <=> (v109(constB21) | v118(constB21))),
% 8.31/5.85 inference(unit_resolution,[status(thm)],[8799, 945])).
% 8.31/5.85 tff(8801,plain,
% 8.31/5.85 ((~![VarCurr: $i] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB21) <=> (v110(constB21) | v117(constB21)))),
% 8.31/5.85 inference(quant_inst,[status(thm)],[])).
% 8.31/5.85 tff(8802,plain,
% 8.31/5.85 (v109(constB21) <=> (v110(constB21) | v117(constB21))),
% 8.31/5.85 inference(unit_resolution,[status(thm)],[8801, 1056])).
% 8.31/5.85 tff(8803,plain,
% 8.31/5.85 (((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB21) <=> (~((~v84(constB21, bitIndex2)) | v84(constB21, bitIndex1) | v84(constB21, bitIndex0))))) <=> ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB21) <=> (~((~v84(constB21, bitIndex2)) | v84(constB21, bitIndex1) | v84(constB21, bitIndex0)))))),
% 8.31/5.85 inference(rewrite,[status(thm)],[])).
% 8.31/5.85 tff(8804,plain,
% 8.31/5.85 ((v117(constB21) <=> (~(v84(constB21, bitIndex0) | v84(constB21, bitIndex1) | (~v84(constB21, bitIndex2))))) <=> (v117(constB21) <=> (~((~v84(constB21, bitIndex2)) | v84(constB21, bitIndex1) | v84(constB21, bitIndex0))))),
% 8.31/5.85 inference(rewrite,[status(thm)],[])).
% 8.31/5.85 tff(8805,plain,
% 8.31/5.85 (((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB21) <=> (~(v84(constB21, bitIndex0) | v84(constB21, bitIndex1) | (~v84(constB21, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB21) <=> (~((~v84(constB21, bitIndex2)) | v84(constB21, bitIndex1) | v84(constB21, bitIndex0)))))),
% 8.31/5.85 inference(monotonicity,[status(thm)],[8804])).
% 8.31/5.85 tff(8806,plain,
% 8.31/5.85 (((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB21) <=> (~(v84(constB21, bitIndex0) | v84(constB21, bitIndex1) | (~v84(constB21, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB21) <=> (~((~v84(constB21, bitIndex2)) | v84(constB21, bitIndex1) | v84(constB21, bitIndex0)))))),
% 8.31/5.85 inference(transitivity,[status(thm)],[8805, 8803])).
% 8.31/5.85 tff(8807,plain,
% 8.31/5.85 ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB21) <=> (~(v84(constB21, bitIndex0) | v84(constB21, bitIndex1) | (~v84(constB21, bitIndex2)))))),
% 8.31/5.85 inference(quant_inst,[status(thm)],[])).
% 8.31/5.85 tff(8808,plain,
% 8.31/5.85 ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB21) <=> (~((~v84(constB21, bitIndex2)) | v84(constB21, bitIndex1) | v84(constB21, bitIndex0))))),
% 8.31/5.85 inference(modus_ponens,[status(thm)],[8807, 8806])).
% 8.31/5.85 tff(8809,plain,
% 8.31/5.85 (v117(constB21) <=> (~((~v84(constB21, bitIndex2)) | v84(constB21, bitIndex1) | v84(constB21, bitIndex0)))),
% 8.31/5.85 inference(unit_resolution,[status(thm)],[8808, 1071])).
% 8.31/5.85 tff(8810,plain,
% 8.31/5.85 (nextState(constB20, constB21) <=> nextState(constB20, constB21)),
% 8.31/5.85 inference(rewrite,[status(thm)],[])).
% 8.31/5.85 tff(8811,axiom,(nextState(constB20, constB21)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_20')).
% 8.31/5.85 tff(8812,plain,
% 8.31/5.85 (nextState(constB20, constB21)),
% 8.31/5.85 inference(modus_ponens,[status(thm)],[8811, 8810])).
% 8.31/5.85 tff(8813,plain,
% 8.31/5.85 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB20, constB21)) | (v94(constB21) <=> (~((~v104(constB21)) | (~v95(constB21))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB20, constB21)) | (v94(constB21) <=> (~((~v104(constB21)) | (~v95(constB21))))))),
% 8.31/5.85 inference(rewrite,[status(thm)],[])).
% 8.31/5.85 tff(8814,plain,
% 8.31/5.85 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB20, constB21)) | (v94(constB21) <=> (~((~v104(constB21)) | (~v95(constB21))))))),
% 8.31/5.85 inference(quant_inst,[status(thm)],[])).
% 8.31/5.85 tff(8815,plain,
% 8.31/5.85 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB20, constB21)) | (v94(constB21) <=> (~((~v104(constB21)) | (~v95(constB21)))))),
% 8.31/5.85 inference(modus_ponens,[status(thm)],[8814, 8813])).
% 8.31/5.85 tff(8816,plain,
% 8.31/5.85 (v94(constB21) <=> (~((~v104(constB21)) | (~v95(constB21))))),
% 8.31/5.85 inference(unit_resolution,[status(thm)],[8815, 8812, 775])).
% 8.31/5.85 tff(8817,plain,
% 8.31/5.85 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB20, constB21)) | (v95(constB21) <=> (~((~v1(constB21)) | (~v96(constB21))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB20, constB21)) | (v95(constB21) <=> (~((~v1(constB21)) | (~v96(constB21))))))),
% 8.31/5.85 inference(rewrite,[status(thm)],[])).
% 8.31/5.85 tff(8818,plain,
% 8.31/5.85 (((~nextState(constB20, constB21)) | (v95(constB21) <=> (~((~v96(constB21)) | (~v1(constB21)))))) <=> ((~nextState(constB20, constB21)) | (v95(constB21) <=> (~((~v1(constB21)) | (~v96(constB21))))))),
% 8.31/5.85 inference(rewrite,[status(thm)],[])).
% 8.31/5.85 tff(8819,plain,
% 8.31/5.85 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB20, constB21)) | (v95(constB21) <=> (~((~v96(constB21)) | (~v1(constB21))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB20, constB21)) | (v95(constB21) <=> (~((~v1(constB21)) | (~v96(constB21)))))))),
% 8.31/5.85 inference(monotonicity,[status(thm)],[8818])).
% 8.31/5.85 tff(8820,plain,
% 8.31/5.85 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB20, constB21)) | (v95(constB21) <=> (~((~v96(constB21)) | (~v1(constB21))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB20, constB21)) | (v95(constB21) <=> (~((~v1(constB21)) | (~v96(constB21))))))),
% 8.31/5.85 inference(transitivity,[status(thm)],[8819, 8817])).
% 8.31/5.85 tff(8821,plain,
% 8.31/5.85 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB20, constB21)) | (v95(constB21) <=> (~((~v96(constB21)) | (~v1(constB21))))))),
% 8.31/5.85 inference(quant_inst,[status(thm)],[])).
% 8.31/5.85 tff(8822,plain,
% 8.31/5.85 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB20, constB21)) | (v95(constB21) <=> (~((~v1(constB21)) | (~v96(constB21)))))),
% 8.31/5.85 inference(modus_ponens,[status(thm)],[8821, 8820])).
% 8.31/5.85 tff(8823,plain,
% 8.31/5.85 (v95(constB21) <=> (~((~v1(constB21)) | (~v96(constB21))))),
% 8.31/5.85 inference(unit_resolution,[status(thm)],[8822, 8812, 795])).
% 8.31/5.85 tff(8824,plain,
% 8.31/5.85 (((~v1(constB21)) | (~v96(constB21))) | v1(constB21)),
% 8.31/5.85 inference(tautology,[status(thm)],[])).
% 8.31/5.85 tff(8825,plain,
% 8.31/5.85 ((~v1(constB21)) | (~v96(constB21))),
% 8.31/5.85 inference(unit_resolution,[status(thm)],[8824, 8775])).
% 8.31/5.85 tff(8826,plain,
% 8.31/5.85 ((~(v95(constB21) <=> (~((~v1(constB21)) | (~v96(constB21)))))) | (~v95(constB21)) | (~((~v1(constB21)) | (~v96(constB21))))),
% 8.31/5.85 inference(tautology,[status(thm)],[])).
% 8.31/5.85 tff(8827,plain,
% 8.31/5.85 ((~(v95(constB21) <=> (~((~v1(constB21)) | (~v96(constB21)))))) | (~v95(constB21))),
% 8.31/5.85 inference(unit_resolution,[status(thm)],[8826, 8825])).
% 8.31/5.85 tff(8828,plain,
% 8.31/5.85 (~v95(constB21)),
% 8.31/5.85 inference(unit_resolution,[status(thm)],[8827, 8823])).
% 8.31/5.85 tff(8829,plain,
% 8.31/5.85 (((~v104(constB21)) | (~v95(constB21))) | v95(constB21)),
% 8.31/5.85 inference(tautology,[status(thm)],[])).
% 8.31/5.85 tff(8830,plain,
% 8.31/5.85 ((~v104(constB21)) | (~v95(constB21))),
% 8.31/5.85 inference(unit_resolution,[status(thm)],[8829, 8828])).
% 8.31/5.85 tff(8831,plain,
% 8.31/5.85 ((~(v94(constB21) <=> (~((~v104(constB21)) | (~v95(constB21)))))) | (~v94(constB21)) | (~((~v104(constB21)) | (~v95(constB21))))),
% 8.31/5.85 inference(tautology,[status(thm)],[])).
% 8.31/5.85 tff(8832,plain,
% 8.31/5.85 (~v94(constB21)),
% 8.31/5.85 inference(unit_resolution,[status(thm)],[8831, 8830, 8816])).
% 8.31/5.85 tff(8833,plain,
% 8.31/5.85 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB21) | (~nextState(constB20, constB21)) | ![B: $i] : ((~less_3(B)) | (v84(constB21, B) <=> v84(constB20, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB21) | (~nextState(constB20, constB21)) | ![B: $i] : ((~less_3(B)) | (v84(constB21, B) <=> v84(constB20, B))))),
% 8.31/5.85 inference(rewrite,[status(thm)],[])).
% 8.31/5.85 tff(8834,plain,
% 8.31/5.85 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB21) | (~nextState(constB20, constB21)) | ![B: $i] : ((~less_3(B)) | (v84(constB21, B) <=> v84(constB20, B))))),
% 8.31/5.85 inference(quant_inst,[status(thm)],[])).
% 8.31/5.85 tff(8835,plain,
% 8.31/5.85 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB21) | (~nextState(constB20, constB21)) | ![B: $i] : ((~less_3(B)) | (v84(constB21, B) <=> v84(constB20, B)))),
% 8.31/5.85 inference(modus_ponens,[status(thm)],[8834, 8833])).
% 8.31/5.85 tff(8836,plain,
% 8.31/5.85 (v94(constB21) | ![B: $i] : ((~less_3(B)) | (v84(constB21, B) <=> v84(constB20, B)))),
% 8.31/5.85 inference(unit_resolution,[status(thm)],[8835, 8812, 824])).
% 8.31/5.85 tff(8837,plain,
% 8.31/5.85 (![B: $i] : ((~less_3(B)) | (v84(constB21, B) <=> v84(constB20, B)))),
% 8.31/5.85 inference(unit_resolution,[status(thm)],[8836, 8832])).
% 8.31/5.85 tff(8838,plain,
% 8.31/5.85 (((~![B: $i] : ((~less_3(B)) | (v84(constB21, B) <=> v84(constB20, B)))) | ((~less_3(bitIndex2)) | (v84(constB21, bitIndex2) <=> v84(constB20, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB21, B) <=> v84(constB20, B)))) | (~less_3(bitIndex2)) | (v84(constB21, bitIndex2) <=> v84(constB20, bitIndex2)))),
% 8.31/5.85 inference(rewrite,[status(thm)],[])).
% 8.31/5.85 tff(8839,plain,
% 8.31/5.85 ((~![B: $i] : ((~less_3(B)) | (v84(constB21, B) <=> v84(constB20, B)))) | ((~less_3(bitIndex2)) | (v84(constB21, bitIndex2) <=> v84(constB20, bitIndex2)))),
% 8.31/5.85 inference(quant_inst,[status(thm)],[])).
% 8.31/5.85 tff(8840,plain,
% 8.31/5.85 ((~![B: $i] : ((~less_3(B)) | (v84(constB21, B) <=> v84(constB20, B)))) | (~less_3(bitIndex2)) | (v84(constB21, bitIndex2) <=> v84(constB20, bitIndex2))),
% 8.31/5.85 inference(modus_ponens,[status(thm)],[8839, 8838])).
% 8.31/5.85 tff(8841,plain,
% 8.31/5.85 (v84(constB21, bitIndex2) <=> v84(constB20, bitIndex2)),
% 8.31/5.85 inference(unit_resolution,[status(thm)],[8840, 832, 8837])).
% 8.31/5.85 tff(8842,plain,
% 8.31/5.85 (nextState(constB19, constB20) <=> nextState(constB19, constB20)),
% 8.31/5.85 inference(rewrite,[status(thm)],[])).
% 8.31/5.85 tff(8843,axiom,(nextState(constB19, constB20)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_19')).
% 8.31/5.85 tff(8844,plain,
% 8.31/5.85 (nextState(constB19, constB20)),
% 8.31/5.85 inference(modus_ponens,[status(thm)],[8843, 8842])).
% 8.31/5.85 tff(8845,plain,
% 8.31/5.85 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB19, constB20)) | (v94(constB20) <=> (~((~v104(constB20)) | (~v95(constB20))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB19, constB20)) | (v94(constB20) <=> (~((~v104(constB20)) | (~v95(constB20))))))),
% 8.31/5.85 inference(rewrite,[status(thm)],[])).
% 8.31/5.85 tff(8846,plain,
% 8.31/5.85 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB19, constB20)) | (v94(constB20) <=> (~((~v104(constB20)) | (~v95(constB20))))))),
% 8.31/5.85 inference(quant_inst,[status(thm)],[])).
% 8.31/5.85 tff(8847,plain,
% 8.31/5.85 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB19, constB20)) | (v94(constB20) <=> (~((~v104(constB20)) | (~v95(constB20)))))),
% 8.31/5.85 inference(modus_ponens,[status(thm)],[8846, 8845])).
% 8.31/5.85 tff(8848,plain,
% 8.31/5.85 (v94(constB20) <=> (~((~v104(constB20)) | (~v95(constB20))))),
% 8.31/5.85 inference(unit_resolution,[status(thm)],[8847, 8844, 775])).
% 8.31/5.85 tff(8849,plain,
% 8.31/5.85 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB19, constB20)) | (v95(constB20) <=> (~((~v1(constB20)) | (~v96(constB20))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB19, constB20)) | (v95(constB20) <=> (~((~v1(constB20)) | (~v96(constB20))))))),
% 8.31/5.85 inference(rewrite,[status(thm)],[])).
% 8.31/5.85 tff(8850,plain,
% 8.31/5.85 (((~nextState(constB19, constB20)) | (v95(constB20) <=> (~((~v96(constB20)) | (~v1(constB20)))))) <=> ((~nextState(constB19, constB20)) | (v95(constB20) <=> (~((~v1(constB20)) | (~v96(constB20))))))),
% 8.31/5.85 inference(rewrite,[status(thm)],[])).
% 8.31/5.85 tff(8851,plain,
% 8.31/5.85 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB19, constB20)) | (v95(constB20) <=> (~((~v96(constB20)) | (~v1(constB20))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB19, constB20)) | (v95(constB20) <=> (~((~v1(constB20)) | (~v96(constB20)))))))),
% 8.31/5.85 inference(monotonicity,[status(thm)],[8850])).
% 8.31/5.85 tff(8852,plain,
% 8.31/5.85 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB19, constB20)) | (v95(constB20) <=> (~((~v96(constB20)) | (~v1(constB20))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB19, constB20)) | (v95(constB20) <=> (~((~v1(constB20)) | (~v96(constB20))))))),
% 8.31/5.85 inference(transitivity,[status(thm)],[8851, 8849])).
% 8.31/5.85 tff(8853,plain,
% 8.31/5.85 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB19, constB20)) | (v95(constB20) <=> (~((~v96(constB20)) | (~v1(constB20))))))),
% 8.31/5.85 inference(quant_inst,[status(thm)],[])).
% 8.31/5.85 tff(8854,plain,
% 8.31/5.85 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB19, constB20)) | (v95(constB20) <=> (~((~v1(constB20)) | (~v96(constB20)))))),
% 8.31/5.85 inference(modus_ponens,[status(thm)],[8853, 8852])).
% 8.31/5.85 tff(8855,plain,
% 8.31/5.85 (v95(constB20) <=> (~((~v1(constB20)) | (~v96(constB20))))),
% 8.31/5.85 inference(unit_resolution,[status(thm)],[8854, 8844, 795])).
% 8.31/5.85 tff(8856,plain,
% 8.31/5.85 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB19, constB20)) | ((~v96(constB20)) <=> v98(constB20)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB19, constB20)) | ((~v96(constB20)) <=> v98(constB20)))),
% 8.31/5.85 inference(rewrite,[status(thm)],[])).
% 8.31/5.85 tff(8857,plain,
% 8.31/5.85 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB19, constB20)) | ((~v96(constB20)) <=> v98(constB20)))),
% 8.31/5.85 inference(quant_inst,[status(thm)],[])).
% 8.31/5.85 tff(8858,plain,
% 8.31/5.85 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB19, constB20)) | ((~v96(constB20)) <=> v98(constB20))),
% 8.31/5.85 inference(modus_ponens,[status(thm)],[8857, 8856])).
% 8.31/5.85 tff(8859,plain,
% 8.31/5.85 ((~v96(constB20)) <=> v98(constB20)),
% 8.31/5.85 inference(unit_resolution,[status(thm)],[8858, 8844, 860])).
% 8.31/5.85 tff(8860,plain,
% 8.31/5.85 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB19, constB20)) | (v98(constB20) <=> v1(constB19)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB19, constB20)) | (v98(constB20) <=> v1(constB19)))),
% 8.31/5.85 inference(rewrite,[status(thm)],[])).
% 8.31/5.85 tff(8861,plain,
% 8.31/5.85 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB19, constB20)) | (v98(constB20) <=> v1(constB19)))),
% 8.31/5.85 inference(quant_inst,[status(thm)],[])).
% 8.31/5.85 tff(8862,plain,
% 8.31/5.85 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB19, constB20)) | (v98(constB20) <=> v1(constB19))),
% 8.31/5.85 inference(modus_ponens,[status(thm)],[8861, 8860])).
% 8.31/5.85 tff(8863,plain,
% 8.31/5.85 (v98(constB20) <=> v1(constB19)),
% 8.31/5.85 inference(unit_resolution,[status(thm)],[8862, 8844, 874])).
% 8.31/5.85 tff(8864,plain,
% 8.31/5.85 ((~v1(constB19)) <=> (~v1(constB19))),
% 8.31/5.85 inference(rewrite,[status(thm)],[])).
% 8.31/5.85 tff(8865,axiom,(~v1(constB19)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_19')).
% 8.31/5.85 tff(8866,plain,
% 8.31/5.85 (~v1(constB19)),
% 8.31/5.85 inference(modus_ponens,[status(thm)],[8865, 8864])).
% 8.31/5.85 tff(8867,plain,
% 8.31/5.85 ((~(v98(constB20) <=> v1(constB19))) | (~v98(constB20)) | v1(constB19)),
% 8.31/5.85 inference(tautology,[status(thm)],[])).
% 8.31/5.85 tff(8868,plain,
% 8.31/5.85 ((~(v98(constB20) <=> v1(constB19))) | (~v98(constB20))),
% 8.31/5.85 inference(unit_resolution,[status(thm)],[8867, 8866])).
% 8.31/5.85 tff(8869,plain,
% 8.31/5.85 (~v98(constB20)),
% 8.31/5.85 inference(unit_resolution,[status(thm)],[8868, 8863])).
% 8.31/5.85 tff(8870,plain,
% 8.31/5.85 ((~((~v96(constB20)) <=> v98(constB20))) | v96(constB20) | v98(constB20)),
% 8.31/5.85 inference(tautology,[status(thm)],[])).
% 8.31/5.85 tff(8871,plain,
% 8.31/5.85 (v96(constB20)),
% 8.31/5.85 inference(unit_resolution,[status(thm)],[8870, 8869, 8859])).
% 8.31/5.85 tff(8872,plain,
% 8.31/5.85 (v1(constB20) <=> v1(constB20)),
% 8.31/5.85 inference(rewrite,[status(thm)],[])).
% 8.31/5.85 tff(8873,axiom,(v1(constB20)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_20')).
% 8.31/5.85 tff(8874,plain,
% 8.31/5.85 (v1(constB20)),
% 8.31/5.85 inference(modus_ponens,[status(thm)],[8873, 8872])).
% 8.31/5.85 tff(8875,plain,
% 8.31/5.85 ((~((~v1(constB20)) | (~v96(constB20)))) | (~v1(constB20)) | (~v96(constB20))),
% 8.31/5.85 inference(tautology,[status(thm)],[])).
% 8.31/5.85 tff(8876,plain,
% 8.31/5.85 ((~((~v1(constB20)) | (~v96(constB20)))) | (~v96(constB20))),
% 8.31/5.85 inference(unit_resolution,[status(thm)],[8875, 8874])).
% 8.31/5.85 tff(8877,plain,
% 8.31/5.85 (~((~v1(constB20)) | (~v96(constB20)))),
% 8.31/5.85 inference(unit_resolution,[status(thm)],[8876, 8871])).
% 8.31/5.85 tff(8878,plain,
% 8.31/5.85 ((~(v95(constB20) <=> (~((~v1(constB20)) | (~v96(constB20)))))) | v95(constB20) | ((~v1(constB20)) | (~v96(constB20)))),
% 8.31/5.85 inference(tautology,[status(thm)],[])).
% 8.31/5.85 tff(8879,plain,
% 8.31/5.85 (v95(constB20)),
% 8.31/5.85 inference(unit_resolution,[status(thm)],[8878, 8877, 8855])).
% 8.31/5.85 tff(8880,plain,
% 8.31/5.85 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB19, constB20)) | (v104(constB20) <=> v102(constB19)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB19, constB20)) | (v104(constB20) <=> v102(constB19)))),
% 8.31/5.85 inference(rewrite,[status(thm)],[])).
% 8.31/5.85 tff(8881,plain,
% 8.31/5.85 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB19, constB20)) | (v104(constB20) <=> v102(constB19)))),
% 8.31/5.85 inference(quant_inst,[status(thm)],[])).
% 8.31/5.85 tff(8882,plain,
% 8.31/5.85 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB19, constB20)) | (v104(constB20) <=> v102(constB19))),
% 8.31/5.85 inference(modus_ponens,[status(thm)],[8881, 8880])).
% 8.31/5.85 tff(8883,plain,
% 8.31/5.85 (v104(constB20) <=> v102(constB19)),
% 8.31/5.85 inference(unit_resolution,[status(thm)],[8882, 8844, 904])).
% 8.31/5.85 tff(8884,plain,
% 8.31/5.85 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB19) <=> (v105(constB19) | v106(constB19)))),
% 8.31/5.85 inference(quant_inst,[status(thm)],[])).
% 8.31/5.85 tff(8885,plain,
% 8.31/5.85 (v102(constB19) <=> (v105(constB19) | v106(constB19))),
% 8.31/5.85 inference(unit_resolution,[status(thm)],[8884, 915])).
% 8.31/5.85 tff(8886,plain,
% 8.31/5.85 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB19) <=> (~((~v107(constB19)) | (~v120(constB19)))))),
% 8.31/5.85 inference(quant_inst,[status(thm)],[])).
% 8.31/5.85 tff(8887,plain,
% 8.31/5.85 (v106(constB19) <=> (~((~v107(constB19)) | (~v120(constB19))))),
% 8.31/5.85 inference(unit_resolution,[status(thm)],[8886, 927])).
% 8.31/5.85 tff(8888,plain,
% 8.31/5.85 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB19) <=> (v108(constB19) | v119(constB19)))),
% 8.31/5.86 inference(quant_inst,[status(thm)],[])).
% 8.31/5.86 tff(8889,plain,
% 8.31/5.86 (v107(constB19) <=> (v108(constB19) | v119(constB19))),
% 8.31/5.86 inference(unit_resolution,[status(thm)],[8888, 936])).
% 8.31/5.86 tff(8890,plain,
% 8.31/5.86 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB19) <=> (v109(constB19) | v118(constB19)))),
% 8.31/5.86 inference(quant_inst,[status(thm)],[])).
% 8.31/5.86 tff(8891,plain,
% 8.31/5.86 (v108(constB19) <=> (v109(constB19) | v118(constB19))),
% 8.31/5.86 inference(unit_resolution,[status(thm)],[8890, 945])).
% 8.31/5.86 tff(8892,plain,
% 8.31/5.86 ((~![VarCurr: $i] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB19) <=> (v110(constB19) | v117(constB19)))),
% 8.31/5.86 inference(quant_inst,[status(thm)],[])).
% 8.31/5.86 tff(8893,plain,
% 8.31/5.86 (v109(constB19) <=> (v110(constB19) | v117(constB19))),
% 8.31/5.86 inference(unit_resolution,[status(thm)],[8892, 1056])).
% 8.31/5.86 tff(8894,plain,
% 8.31/5.86 ((~![VarCurr: $i] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB19) <=> (v111(constB19) | v116(constB19)))),
% 8.31/5.86 inference(quant_inst,[status(thm)],[])).
% 8.31/5.86 tff(8895,plain,
% 8.31/5.86 (v110(constB19) <=> (v111(constB19) | v116(constB19))),
% 8.31/5.86 inference(unit_resolution,[status(thm)],[8894, 1169])).
% 8.31/5.86 tff(8896,plain,
% 8.31/5.86 ((~![VarCurr: $i] : (v116(VarCurr) <=> (~(v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex0)))))) | (v116(constB19) <=> (~(v84(constB19, bitIndex2) | (~v84(constB19, bitIndex1)) | (~v84(constB19, bitIndex0)))))),
% 8.31/5.86 inference(quant_inst,[status(thm)],[])).
% 8.31/5.86 tff(8897,plain,
% 8.31/5.86 (v116(constB19) <=> (~(v84(constB19, bitIndex2) | (~v84(constB19, bitIndex1)) | (~v84(constB19, bitIndex0))))),
% 8.31/5.86 inference(unit_resolution,[status(thm)],[8896, 1184])).
% 8.31/5.86 tff(8898,plain,
% 8.31/5.86 (nextState(constB18, constB19) <=> nextState(constB18, constB19)),
% 8.31/5.86 inference(rewrite,[status(thm)],[])).
% 8.31/5.86 tff(8899,axiom,(nextState(constB18, constB19)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_18')).
% 8.31/5.86 tff(8900,plain,
% 8.31/5.86 (nextState(constB18, constB19)),
% 8.31/5.86 inference(modus_ponens,[status(thm)],[8899, 8898])).
% 8.31/5.86 tff(8901,plain,
% 8.31/5.86 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB18, constB19)) | (v94(constB19) <=> (~((~v104(constB19)) | (~v95(constB19))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB18, constB19)) | (v94(constB19) <=> (~((~v104(constB19)) | (~v95(constB19))))))),
% 8.31/5.86 inference(rewrite,[status(thm)],[])).
% 8.31/5.86 tff(8902,plain,
% 8.31/5.86 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB18, constB19)) | (v94(constB19) <=> (~((~v104(constB19)) | (~v95(constB19))))))),
% 8.31/5.86 inference(quant_inst,[status(thm)],[])).
% 8.31/5.86 tff(8903,plain,
% 8.31/5.86 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB18, constB19)) | (v94(constB19) <=> (~((~v104(constB19)) | (~v95(constB19)))))),
% 8.31/5.86 inference(modus_ponens,[status(thm)],[8902, 8901])).
% 8.31/5.86 tff(8904,plain,
% 8.31/5.86 (v94(constB19) <=> (~((~v104(constB19)) | (~v95(constB19))))),
% 8.31/5.86 inference(unit_resolution,[status(thm)],[8903, 8900, 775])).
% 8.31/5.86 tff(8905,plain,
% 8.31/5.86 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB18, constB19)) | (v95(constB19) <=> (~((~v1(constB19)) | (~v96(constB19))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB18, constB19)) | (v95(constB19) <=> (~((~v1(constB19)) | (~v96(constB19))))))),
% 8.31/5.86 inference(rewrite,[status(thm)],[])).
% 8.31/5.86 tff(8906,plain,
% 8.31/5.86 (((~nextState(constB18, constB19)) | (v95(constB19) <=> (~((~v96(constB19)) | (~v1(constB19)))))) <=> ((~nextState(constB18, constB19)) | (v95(constB19) <=> (~((~v1(constB19)) | (~v96(constB19))))))),
% 8.31/5.86 inference(rewrite,[status(thm)],[])).
% 8.31/5.86 tff(8907,plain,
% 8.31/5.86 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB18, constB19)) | (v95(constB19) <=> (~((~v96(constB19)) | (~v1(constB19))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB18, constB19)) | (v95(constB19) <=> (~((~v1(constB19)) | (~v96(constB19)))))))),
% 8.31/5.86 inference(monotonicity,[status(thm)],[8906])).
% 8.31/5.86 tff(8908,plain,
% 8.31/5.86 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB18, constB19)) | (v95(constB19) <=> (~((~v96(constB19)) | (~v1(constB19))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB18, constB19)) | (v95(constB19) <=> (~((~v1(constB19)) | (~v96(constB19))))))),
% 8.31/5.86 inference(transitivity,[status(thm)],[8907, 8905])).
% 8.31/5.86 tff(8909,plain,
% 8.31/5.86 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB18, constB19)) | (v95(constB19) <=> (~((~v96(constB19)) | (~v1(constB19))))))),
% 8.31/5.86 inference(quant_inst,[status(thm)],[])).
% 8.31/5.86 tff(8910,plain,
% 8.31/5.86 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB18, constB19)) | (v95(constB19) <=> (~((~v1(constB19)) | (~v96(constB19)))))),
% 8.31/5.86 inference(modus_ponens,[status(thm)],[8909, 8908])).
% 8.31/5.86 tff(8911,plain,
% 8.31/5.86 (v95(constB19) <=> (~((~v1(constB19)) | (~v96(constB19))))),
% 8.31/5.86 inference(unit_resolution,[status(thm)],[8910, 8900, 795])).
% 8.31/5.86 tff(8912,plain,
% 8.31/5.86 (((~v1(constB19)) | (~v96(constB19))) | v1(constB19)),
% 8.31/5.86 inference(tautology,[status(thm)],[])).
% 8.31/5.86 tff(8913,plain,
% 8.31/5.86 ((~v1(constB19)) | (~v96(constB19))),
% 8.31/5.86 inference(unit_resolution,[status(thm)],[8912, 8866])).
% 8.31/5.86 tff(8914,plain,
% 8.31/5.86 ((~(v95(constB19) <=> (~((~v1(constB19)) | (~v96(constB19)))))) | (~v95(constB19)) | (~((~v1(constB19)) | (~v96(constB19))))),
% 8.31/5.86 inference(tautology,[status(thm)],[])).
% 8.31/5.86 tff(8915,plain,
% 8.31/5.86 ((~(v95(constB19) <=> (~((~v1(constB19)) | (~v96(constB19)))))) | (~v95(constB19))),
% 8.31/5.86 inference(unit_resolution,[status(thm)],[8914, 8913])).
% 8.31/5.86 tff(8916,plain,
% 8.31/5.86 (~v95(constB19)),
% 8.31/5.86 inference(unit_resolution,[status(thm)],[8915, 8911])).
% 8.31/5.86 tff(8917,plain,
% 8.31/5.86 (((~v104(constB19)) | (~v95(constB19))) | v95(constB19)),
% 8.31/5.86 inference(tautology,[status(thm)],[])).
% 8.31/5.86 tff(8918,plain,
% 8.31/5.86 ((~v104(constB19)) | (~v95(constB19))),
% 8.31/5.86 inference(unit_resolution,[status(thm)],[8917, 8916])).
% 8.31/5.86 tff(8919,plain,
% 8.31/5.86 ((~(v94(constB19) <=> (~((~v104(constB19)) | (~v95(constB19)))))) | (~v94(constB19)) | (~((~v104(constB19)) | (~v95(constB19))))),
% 8.31/5.86 inference(tautology,[status(thm)],[])).
% 8.31/5.86 tff(8920,plain,
% 8.31/5.86 (~v94(constB19)),
% 8.31/5.86 inference(unit_resolution,[status(thm)],[8919, 8918, 8904])).
% 8.31/5.86 tff(8921,plain,
% 8.31/5.86 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB19) | (~nextState(constB18, constB19)) | ![B: $i] : ((~less_3(B)) | (v84(constB19, B) <=> v84(constB18, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB19) | (~nextState(constB18, constB19)) | ![B: $i] : ((~less_3(B)) | (v84(constB19, B) <=> v84(constB18, B))))),
% 8.31/5.86 inference(rewrite,[status(thm)],[])).
% 8.31/5.86 tff(8922,plain,
% 8.31/5.86 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB19) | (~nextState(constB18, constB19)) | ![B: $i] : ((~less_3(B)) | (v84(constB19, B) <=> v84(constB18, B))))),
% 8.31/5.86 inference(quant_inst,[status(thm)],[])).
% 8.31/5.86 tff(8923,plain,
% 8.31/5.86 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB19) | (~nextState(constB18, constB19)) | ![B: $i] : ((~less_3(B)) | (v84(constB19, B) <=> v84(constB18, B)))),
% 8.31/5.86 inference(modus_ponens,[status(thm)],[8922, 8921])).
% 8.31/5.86 tff(8924,plain,
% 8.31/5.86 (v94(constB19) | ![B: $i] : ((~less_3(B)) | (v84(constB19, B) <=> v84(constB18, B)))),
% 8.31/5.86 inference(unit_resolution,[status(thm)],[8923, 8900, 824])).
% 8.31/5.86 tff(8925,plain,
% 8.31/5.86 (![B: $i] : ((~less_3(B)) | (v84(constB19, B) <=> v84(constB18, B)))),
% 8.31/5.86 inference(unit_resolution,[status(thm)],[8924, 8920])).
% 8.31/5.86 tff(8926,plain,
% 8.31/5.86 (((~![B: $i] : ((~less_3(B)) | (v84(constB19, B) <=> v84(constB18, B)))) | ((~less_3(bitIndex2)) | (v84(constB19, bitIndex2) <=> v84(constB18, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB19, B) <=> v84(constB18, B)))) | (~less_3(bitIndex2)) | (v84(constB19, bitIndex2) <=> v84(constB18, bitIndex2)))),
% 8.31/5.86 inference(rewrite,[status(thm)],[])).
% 8.31/5.86 tff(8927,plain,
% 8.31/5.86 ((~![B: $i] : ((~less_3(B)) | (v84(constB19, B) <=> v84(constB18, B)))) | ((~less_3(bitIndex2)) | (v84(constB19, bitIndex2) <=> v84(constB18, bitIndex2)))),
% 8.31/5.86 inference(quant_inst,[status(thm)],[])).
% 8.31/5.86 tff(8928,plain,
% 8.31/5.86 ((~![B: $i] : ((~less_3(B)) | (v84(constB19, B) <=> v84(constB18, B)))) | (~less_3(bitIndex2)) | (v84(constB19, bitIndex2) <=> v84(constB18, bitIndex2))),
% 8.31/5.86 inference(modus_ponens,[status(thm)],[8927, 8926])).
% 8.31/5.86 tff(8929,plain,
% 8.31/5.86 (v84(constB19, bitIndex2) <=> v84(constB18, bitIndex2)),
% 8.31/5.86 inference(unit_resolution,[status(thm)],[8928, 832, 8925])).
% 8.31/5.86 tff(8930,plain,
% 8.31/5.86 (nextState(constB17, constB18) <=> nextState(constB17, constB18)),
% 8.31/5.86 inference(rewrite,[status(thm)],[])).
% 8.31/5.86 tff(8931,axiom,(nextState(constB17, constB18)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_17')).
% 8.31/5.86 tff(8932,plain,
% 8.31/5.86 (nextState(constB17, constB18)),
% 8.31/5.86 inference(modus_ponens,[status(thm)],[8931, 8930])).
% 8.31/5.86 tff(8933,plain,
% 8.31/5.86 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB17, constB18)) | (v94(constB18) <=> (~((~v104(constB18)) | (~v95(constB18))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB17, constB18)) | (v94(constB18) <=> (~((~v104(constB18)) | (~v95(constB18))))))),
% 8.31/5.86 inference(rewrite,[status(thm)],[])).
% 8.31/5.86 tff(8934,plain,
% 8.31/5.86 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB17, constB18)) | (v94(constB18) <=> (~((~v104(constB18)) | (~v95(constB18))))))),
% 8.31/5.86 inference(quant_inst,[status(thm)],[])).
% 8.31/5.86 tff(8935,plain,
% 8.31/5.86 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB17, constB18)) | (v94(constB18) <=> (~((~v104(constB18)) | (~v95(constB18)))))),
% 8.31/5.86 inference(modus_ponens,[status(thm)],[8934, 8933])).
% 8.31/5.86 tff(8936,plain,
% 8.31/5.86 (v94(constB18) <=> (~((~v104(constB18)) | (~v95(constB18))))),
% 8.31/5.86 inference(unit_resolution,[status(thm)],[8935, 8932, 775])).
% 8.31/5.86 tff(8937,plain,
% 8.31/5.86 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB17, constB18)) | (v95(constB18) <=> (~((~v1(constB18)) | (~v96(constB18))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB17, constB18)) | (v95(constB18) <=> (~((~v1(constB18)) | (~v96(constB18))))))),
% 8.31/5.86 inference(rewrite,[status(thm)],[])).
% 8.31/5.86 tff(8938,plain,
% 8.31/5.86 (((~nextState(constB17, constB18)) | (v95(constB18) <=> (~((~v96(constB18)) | (~v1(constB18)))))) <=> ((~nextState(constB17, constB18)) | (v95(constB18) <=> (~((~v1(constB18)) | (~v96(constB18))))))),
% 8.31/5.86 inference(rewrite,[status(thm)],[])).
% 8.31/5.86 tff(8939,plain,
% 8.31/5.86 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB17, constB18)) | (v95(constB18) <=> (~((~v96(constB18)) | (~v1(constB18))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB17, constB18)) | (v95(constB18) <=> (~((~v1(constB18)) | (~v96(constB18)))))))),
% 8.31/5.86 inference(monotonicity,[status(thm)],[8938])).
% 8.31/5.86 tff(8940,plain,
% 8.31/5.86 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB17, constB18)) | (v95(constB18) <=> (~((~v96(constB18)) | (~v1(constB18))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB17, constB18)) | (v95(constB18) <=> (~((~v1(constB18)) | (~v96(constB18))))))),
% 8.31/5.86 inference(transitivity,[status(thm)],[8939, 8937])).
% 8.31/5.86 tff(8941,plain,
% 8.31/5.86 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB17, constB18)) | (v95(constB18) <=> (~((~v96(constB18)) | (~v1(constB18))))))),
% 8.31/5.86 inference(quant_inst,[status(thm)],[])).
% 8.31/5.86 tff(8942,plain,
% 8.31/5.86 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB17, constB18)) | (v95(constB18) <=> (~((~v1(constB18)) | (~v96(constB18)))))),
% 8.31/5.86 inference(modus_ponens,[status(thm)],[8941, 8940])).
% 8.31/5.86 tff(8943,plain,
% 8.31/5.86 (v95(constB18) <=> (~((~v1(constB18)) | (~v96(constB18))))),
% 8.31/5.86 inference(unit_resolution,[status(thm)],[8942, 8932, 795])).
% 8.31/5.86 tff(8944,plain,
% 8.31/5.86 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB17, constB18)) | ((~v96(constB18)) <=> v98(constB18)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB17, constB18)) | ((~v96(constB18)) <=> v98(constB18)))),
% 8.31/5.86 inference(rewrite,[status(thm)],[])).
% 8.31/5.86 tff(8945,plain,
% 8.31/5.86 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB17, constB18)) | ((~v96(constB18)) <=> v98(constB18)))),
% 8.31/5.86 inference(quant_inst,[status(thm)],[])).
% 8.31/5.86 tff(8946,plain,
% 8.31/5.86 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB17, constB18)) | ((~v96(constB18)) <=> v98(constB18))),
% 8.31/5.86 inference(modus_ponens,[status(thm)],[8945, 8944])).
% 8.31/5.86 tff(8947,plain,
% 8.31/5.86 ((~v96(constB18)) <=> v98(constB18)),
% 8.31/5.86 inference(unit_resolution,[status(thm)],[8946, 8932, 860])).
% 8.31/5.86 tff(8948,plain,
% 8.31/5.86 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB17, constB18)) | (v98(constB18) <=> v1(constB17)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB17, constB18)) | (v98(constB18) <=> v1(constB17)))),
% 8.31/5.86 inference(rewrite,[status(thm)],[])).
% 8.31/5.86 tff(8949,plain,
% 8.31/5.86 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB17, constB18)) | (v98(constB18) <=> v1(constB17)))),
% 8.31/5.86 inference(quant_inst,[status(thm)],[])).
% 8.31/5.86 tff(8950,plain,
% 8.31/5.86 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB17, constB18)) | (v98(constB18) <=> v1(constB17))),
% 8.31/5.86 inference(modus_ponens,[status(thm)],[8949, 8948])).
% 8.31/5.86 tff(8951,plain,
% 8.31/5.86 (v98(constB18) <=> v1(constB17)),
% 8.31/5.86 inference(unit_resolution,[status(thm)],[8950, 8932, 874])).
% 8.31/5.86 tff(8952,plain,
% 8.31/5.86 ((~v1(constB17)) <=> (~v1(constB17))),
% 8.31/5.86 inference(rewrite,[status(thm)],[])).
% 8.31/5.86 tff(8953,axiom,(~v1(constB17)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_17')).
% 8.31/5.86 tff(8954,plain,
% 8.31/5.86 (~v1(constB17)),
% 8.31/5.86 inference(modus_ponens,[status(thm)],[8953, 8952])).
% 8.31/5.86 tff(8955,plain,
% 8.31/5.86 ((~(v98(constB18) <=> v1(constB17))) | (~v98(constB18)) | v1(constB17)),
% 8.31/5.86 inference(tautology,[status(thm)],[])).
% 8.31/5.86 tff(8956,plain,
% 8.31/5.86 ((~(v98(constB18) <=> v1(constB17))) | (~v98(constB18))),
% 8.31/5.86 inference(unit_resolution,[status(thm)],[8955, 8954])).
% 8.31/5.86 tff(8957,plain,
% 8.31/5.86 (~v98(constB18)),
% 8.31/5.86 inference(unit_resolution,[status(thm)],[8956, 8951])).
% 8.31/5.86 tff(8958,plain,
% 8.31/5.86 ((~((~v96(constB18)) <=> v98(constB18))) | v96(constB18) | v98(constB18)),
% 8.31/5.86 inference(tautology,[status(thm)],[])).
% 8.31/5.86 tff(8959,plain,
% 8.31/5.86 (v96(constB18)),
% 8.31/5.86 inference(unit_resolution,[status(thm)],[8958, 8957, 8947])).
% 8.31/5.86 tff(8960,plain,
% 8.31/5.86 (v1(constB18) <=> v1(constB18)),
% 8.31/5.86 inference(rewrite,[status(thm)],[])).
% 8.31/5.86 tff(8961,axiom,(v1(constB18)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_18')).
% 8.31/5.86 tff(8962,plain,
% 8.31/5.86 (v1(constB18)),
% 8.31/5.86 inference(modus_ponens,[status(thm)],[8961, 8960])).
% 8.31/5.86 tff(8963,plain,
% 8.31/5.86 ((~((~v1(constB18)) | (~v96(constB18)))) | (~v1(constB18)) | (~v96(constB18))),
% 8.31/5.86 inference(tautology,[status(thm)],[])).
% 8.31/5.86 tff(8964,plain,
% 8.31/5.86 ((~((~v1(constB18)) | (~v96(constB18)))) | (~v96(constB18))),
% 8.31/5.86 inference(unit_resolution,[status(thm)],[8963, 8962])).
% 8.31/5.86 tff(8965,plain,
% 8.31/5.86 (~((~v1(constB18)) | (~v96(constB18)))),
% 8.31/5.86 inference(unit_resolution,[status(thm)],[8964, 8959])).
% 8.31/5.86 tff(8966,plain,
% 8.31/5.86 ((~(v95(constB18) <=> (~((~v1(constB18)) | (~v96(constB18)))))) | v95(constB18) | ((~v1(constB18)) | (~v96(constB18)))),
% 8.31/5.86 inference(tautology,[status(thm)],[])).
% 8.31/5.86 tff(8967,plain,
% 8.31/5.86 (v95(constB18)),
% 8.31/5.86 inference(unit_resolution,[status(thm)],[8966, 8965, 8943])).
% 8.31/5.86 tff(8968,plain,
% 8.31/5.86 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB17, constB18)) | (v104(constB18) <=> v102(constB17)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB17, constB18)) | (v104(constB18) <=> v102(constB17)))),
% 8.31/5.86 inference(rewrite,[status(thm)],[])).
% 8.31/5.86 tff(8969,plain,
% 8.31/5.86 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB17, constB18)) | (v104(constB18) <=> v102(constB17)))),
% 8.31/5.86 inference(quant_inst,[status(thm)],[])).
% 8.31/5.86 tff(8970,plain,
% 8.31/5.86 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB17, constB18)) | (v104(constB18) <=> v102(constB17))),
% 8.31/5.86 inference(modus_ponens,[status(thm)],[8969, 8968])).
% 8.31/5.86 tff(8971,plain,
% 8.31/5.86 (v104(constB18) <=> v102(constB17)),
% 8.31/5.86 inference(unit_resolution,[status(thm)],[8970, 8932, 904])).
% 8.31/5.86 tff(8972,plain,
% 8.31/5.86 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB17) <=> (v105(constB17) | v106(constB17)))),
% 8.31/5.86 inference(quant_inst,[status(thm)],[])).
% 8.31/5.86 tff(8973,plain,
% 8.31/5.86 (v102(constB17) <=> (v105(constB17) | v106(constB17))),
% 8.31/5.86 inference(unit_resolution,[status(thm)],[8972, 915])).
% 8.31/5.86 tff(8974,plain,
% 8.31/5.86 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB17) <=> (~((~v107(constB17)) | (~v120(constB17)))))),
% 8.31/5.86 inference(quant_inst,[status(thm)],[])).
% 8.31/5.86 tff(8975,plain,
% 8.31/5.86 (v106(constB17) <=> (~((~v107(constB17)) | (~v120(constB17))))),
% 8.31/5.86 inference(unit_resolution,[status(thm)],[8974, 927])).
% 8.31/5.86 tff(8976,plain,
% 8.31/5.86 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB17) <=> (v108(constB17) | v119(constB17)))),
% 8.31/5.86 inference(quant_inst,[status(thm)],[])).
% 8.31/5.86 tff(8977,plain,
% 8.31/5.86 (v107(constB17) <=> (v108(constB17) | v119(constB17))),
% 8.31/5.86 inference(unit_resolution,[status(thm)],[8976, 936])).
% 8.31/5.86 tff(8978,plain,
% 8.31/5.86 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB17) <=> (v109(constB17) | v118(constB17)))),
% 8.31/5.86 inference(quant_inst,[status(thm)],[])).
% 8.31/5.86 tff(8979,plain,
% 8.31/5.86 (v108(constB17) <=> (v109(constB17) | v118(constB17))),
% 8.31/5.86 inference(unit_resolution,[status(thm)],[8978, 945])).
% 8.31/5.86 tff(8980,plain,
% 8.31/5.86 ((~![VarCurr: $i] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB17) <=> (v110(constB17) | v117(constB17)))),
% 8.31/5.86 inference(quant_inst,[status(thm)],[])).
% 8.31/5.86 tff(8981,plain,
% 8.31/5.86 (v109(constB17) <=> (v110(constB17) | v117(constB17))),
% 8.31/5.86 inference(unit_resolution,[status(thm)],[8980, 1056])).
% 8.31/5.86 tff(8982,plain,
% 8.31/5.86 ((~![VarCurr: $i] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB17) <=> (v111(constB17) | v116(constB17)))),
% 8.31/5.86 inference(quant_inst,[status(thm)],[])).
% 8.31/5.86 tff(8983,plain,
% 8.31/5.86 (v110(constB17) <=> (v111(constB17) | v116(constB17))),
% 8.31/5.86 inference(unit_resolution,[status(thm)],[8982, 1169])).
% 8.31/5.86 tff(8984,plain,
% 8.31/5.86 ((~![VarCurr: $i] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB17) <=> (v112(constB17) | v115(constB17)))),
% 8.31/5.86 inference(quant_inst,[status(thm)],[])).
% 8.31/5.86 tff(8985,plain,
% 8.31/5.86 (v111(constB17) <=> (v112(constB17) | v115(constB17))),
% 8.31/5.86 inference(unit_resolution,[status(thm)],[8984, 1279])).
% 8.31/5.86 tff(8986,plain,
% 8.31/5.86 (((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB17) <=> (~(v84(constB17, bitIndex2) | (~v84(constB17, bitIndex1)) | v84(constB17, bitIndex0))))) <=> ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB17) <=> (~(v84(constB17, bitIndex2) | (~v84(constB17, bitIndex1)) | v84(constB17, bitIndex0)))))),
% 8.31/5.86 inference(rewrite,[status(thm)],[])).
% 8.31/5.86 tff(8987,plain,
% 8.31/5.86 ((v115(constB17) <=> (~(v84(constB17, bitIndex0) | v84(constB17, bitIndex2) | (~v84(constB17, bitIndex1))))) <=> (v115(constB17) <=> (~(v84(constB17, bitIndex2) | (~v84(constB17, bitIndex1)) | v84(constB17, bitIndex0))))),
% 8.31/5.86 inference(rewrite,[status(thm)],[])).
% 8.31/5.86 tff(8988,plain,
% 8.31/5.86 (((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB17) <=> (~(v84(constB17, bitIndex0) | v84(constB17, bitIndex2) | (~v84(constB17, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB17) <=> (~(v84(constB17, bitIndex2) | (~v84(constB17, bitIndex1)) | v84(constB17, bitIndex0)))))),
% 8.31/5.86 inference(monotonicity,[status(thm)],[8987])).
% 8.31/5.86 tff(8989,plain,
% 8.31/5.86 (((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB17) <=> (~(v84(constB17, bitIndex0) | v84(constB17, bitIndex2) | (~v84(constB17, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB17) <=> (~(v84(constB17, bitIndex2) | (~v84(constB17, bitIndex1)) | v84(constB17, bitIndex0)))))),
% 8.31/5.86 inference(transitivity,[status(thm)],[8988, 8986])).
% 8.31/5.86 tff(8990,plain,
% 8.31/5.86 ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB17) <=> (~(v84(constB17, bitIndex0) | v84(constB17, bitIndex2) | (~v84(constB17, bitIndex1)))))),
% 8.31/5.86 inference(quant_inst,[status(thm)],[])).
% 8.31/5.86 tff(8991,plain,
% 8.31/5.86 ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB17) <=> (~(v84(constB17, bitIndex2) | (~v84(constB17, bitIndex1)) | v84(constB17, bitIndex0))))),
% 8.31/5.86 inference(modus_ponens,[status(thm)],[8990, 8989])).
% 8.31/5.86 tff(8992,plain,
% 8.31/5.86 (v115(constB17) <=> (~(v84(constB17, bitIndex2) | (~v84(constB17, bitIndex1)) | v84(constB17, bitIndex0)))),
% 8.31/5.86 inference(unit_resolution,[status(thm)],[8991, 1294])).
% 8.31/5.86 tff(8993,plain,
% 8.31/5.86 (nextState(constB16, constB17) <=> nextState(constB16, constB17)),
% 8.31/5.86 inference(rewrite,[status(thm)],[])).
% 8.31/5.86 tff(8994,axiom,(nextState(constB16, constB17)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_16')).
% 8.31/5.86 tff(8995,plain,
% 8.31/5.86 (nextState(constB16, constB17)),
% 8.31/5.86 inference(modus_ponens,[status(thm)],[8994, 8993])).
% 8.31/5.86 tff(8996,plain,
% 8.31/5.86 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB16, constB17)) | (v94(constB17) <=> (~((~v104(constB17)) | (~v95(constB17))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB16, constB17)) | (v94(constB17) <=> (~((~v104(constB17)) | (~v95(constB17))))))),
% 8.31/5.86 inference(rewrite,[status(thm)],[])).
% 8.31/5.86 tff(8997,plain,
% 8.31/5.86 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB16, constB17)) | (v94(constB17) <=> (~((~v104(constB17)) | (~v95(constB17))))))),
% 8.31/5.86 inference(quant_inst,[status(thm)],[])).
% 8.31/5.86 tff(8998,plain,
% 8.31/5.86 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB16, constB17)) | (v94(constB17) <=> (~((~v104(constB17)) | (~v95(constB17)))))),
% 8.31/5.86 inference(modus_ponens,[status(thm)],[8997, 8996])).
% 8.31/5.86 tff(8999,plain,
% 8.31/5.86 (v94(constB17) <=> (~((~v104(constB17)) | (~v95(constB17))))),
% 8.31/5.86 inference(unit_resolution,[status(thm)],[8998, 8995, 775])).
% 8.31/5.86 tff(9000,plain,
% 8.31/5.86 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB16, constB17)) | (v95(constB17) <=> (~((~v1(constB17)) | (~v96(constB17))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB16, constB17)) | (v95(constB17) <=> (~((~v1(constB17)) | (~v96(constB17))))))),
% 8.31/5.86 inference(rewrite,[status(thm)],[])).
% 8.31/5.86 tff(9001,plain,
% 8.31/5.86 (((~nextState(constB16, constB17)) | (v95(constB17) <=> (~((~v96(constB17)) | (~v1(constB17)))))) <=> ((~nextState(constB16, constB17)) | (v95(constB17) <=> (~((~v1(constB17)) | (~v96(constB17))))))),
% 8.31/5.86 inference(rewrite,[status(thm)],[])).
% 8.31/5.86 tff(9002,plain,
% 8.31/5.86 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB16, constB17)) | (v95(constB17) <=> (~((~v96(constB17)) | (~v1(constB17))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB16, constB17)) | (v95(constB17) <=> (~((~v1(constB17)) | (~v96(constB17)))))))),
% 8.31/5.86 inference(monotonicity,[status(thm)],[9001])).
% 8.31/5.86 tff(9003,plain,
% 8.31/5.86 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB16, constB17)) | (v95(constB17) <=> (~((~v96(constB17)) | (~v1(constB17))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB16, constB17)) | (v95(constB17) <=> (~((~v1(constB17)) | (~v96(constB17))))))),
% 8.31/5.86 inference(transitivity,[status(thm)],[9002, 9000])).
% 8.31/5.86 tff(9004,plain,
% 8.31/5.86 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB16, constB17)) | (v95(constB17) <=> (~((~v96(constB17)) | (~v1(constB17))))))),
% 8.31/5.86 inference(quant_inst,[status(thm)],[])).
% 8.31/5.86 tff(9005,plain,
% 8.31/5.86 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB16, constB17)) | (v95(constB17) <=> (~((~v1(constB17)) | (~v96(constB17)))))),
% 8.31/5.86 inference(modus_ponens,[status(thm)],[9004, 9003])).
% 8.31/5.86 tff(9006,plain,
% 8.31/5.86 (v95(constB17) <=> (~((~v1(constB17)) | (~v96(constB17))))),
% 8.31/5.86 inference(unit_resolution,[status(thm)],[9005, 8995, 795])).
% 8.31/5.86 tff(9007,plain,
% 8.31/5.86 (((~v1(constB17)) | (~v96(constB17))) | v1(constB17)),
% 8.31/5.86 inference(tautology,[status(thm)],[])).
% 8.31/5.86 tff(9008,plain,
% 8.31/5.86 ((~v1(constB17)) | (~v96(constB17))),
% 8.31/5.86 inference(unit_resolution,[status(thm)],[9007, 8954])).
% 8.31/5.86 tff(9009,plain,
% 8.31/5.86 ((~(v95(constB17) <=> (~((~v1(constB17)) | (~v96(constB17)))))) | (~v95(constB17)) | (~((~v1(constB17)) | (~v96(constB17))))),
% 8.31/5.86 inference(tautology,[status(thm)],[])).
% 8.31/5.86 tff(9010,plain,
% 8.31/5.86 ((~(v95(constB17) <=> (~((~v1(constB17)) | (~v96(constB17)))))) | (~v95(constB17))),
% 8.31/5.86 inference(unit_resolution,[status(thm)],[9009, 9008])).
% 8.31/5.86 tff(9011,plain,
% 8.31/5.86 (~v95(constB17)),
% 8.31/5.86 inference(unit_resolution,[status(thm)],[9010, 9006])).
% 8.31/5.86 tff(9012,plain,
% 8.31/5.86 (((~v104(constB17)) | (~v95(constB17))) | v95(constB17)),
% 8.31/5.86 inference(tautology,[status(thm)],[])).
% 8.31/5.86 tff(9013,plain,
% 8.31/5.86 ((~v104(constB17)) | (~v95(constB17))),
% 8.31/5.86 inference(unit_resolution,[status(thm)],[9012, 9011])).
% 8.31/5.86 tff(9014,plain,
% 8.31/5.86 ((~(v94(constB17) <=> (~((~v104(constB17)) | (~v95(constB17)))))) | (~v94(constB17)) | (~((~v104(constB17)) | (~v95(constB17))))),
% 8.31/5.86 inference(tautology,[status(thm)],[])).
% 8.31/5.86 tff(9015,plain,
% 8.31/5.86 (~v94(constB17)),
% 8.31/5.86 inference(unit_resolution,[status(thm)],[9014, 9013, 8999])).
% 8.31/5.86 tff(9016,plain,
% 8.31/5.86 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB17) | (~nextState(constB16, constB17)) | ![B: $i] : ((~less_3(B)) | (v84(constB17, B) <=> v84(constB16, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB17) | (~nextState(constB16, constB17)) | ![B: $i] : ((~less_3(B)) | (v84(constB17, B) <=> v84(constB16, B))))),
% 8.31/5.86 inference(rewrite,[status(thm)],[])).
% 8.31/5.86 tff(9017,plain,
% 8.31/5.86 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB17) | (~nextState(constB16, constB17)) | ![B: $i] : ((~less_3(B)) | (v84(constB17, B) <=> v84(constB16, B))))),
% 8.31/5.86 inference(quant_inst,[status(thm)],[])).
% 8.31/5.86 tff(9018,plain,
% 8.31/5.86 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB17) | (~nextState(constB16, constB17)) | ![B: $i] : ((~less_3(B)) | (v84(constB17, B) <=> v84(constB16, B)))),
% 8.31/5.86 inference(modus_ponens,[status(thm)],[9017, 9016])).
% 8.31/5.86 tff(9019,plain,
% 8.31/5.86 (v94(constB17) | ![B: $i] : ((~less_3(B)) | (v84(constB17, B) <=> v84(constB16, B)))),
% 8.31/5.86 inference(unit_resolution,[status(thm)],[9018, 8995, 824])).
% 8.31/5.86 tff(9020,plain,
% 8.31/5.86 (![B: $i] : ((~less_3(B)) | (v84(constB17, B) <=> v84(constB16, B)))),
% 8.31/5.86 inference(unit_resolution,[status(thm)],[9019, 9015])).
% 8.31/5.86 tff(9021,plain,
% 8.31/5.86 (((~![B: $i] : ((~less_3(B)) | (v84(constB17, B) <=> v84(constB16, B)))) | ((~less_3(bitIndex2)) | (v84(constB17, bitIndex2) <=> v84(constB16, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB17, B) <=> v84(constB16, B)))) | (~less_3(bitIndex2)) | (v84(constB17, bitIndex2) <=> v84(constB16, bitIndex2)))),
% 8.31/5.86 inference(rewrite,[status(thm)],[])).
% 8.31/5.86 tff(9022,plain,
% 8.31/5.86 ((~![B: $i] : ((~less_3(B)) | (v84(constB17, B) <=> v84(constB16, B)))) | ((~less_3(bitIndex2)) | (v84(constB17, bitIndex2) <=> v84(constB16, bitIndex2)))),
% 8.31/5.86 inference(quant_inst,[status(thm)],[])).
% 8.31/5.86 tff(9023,plain,
% 8.31/5.86 ((~![B: $i] : ((~less_3(B)) | (v84(constB17, B) <=> v84(constB16, B)))) | (~less_3(bitIndex2)) | (v84(constB17, bitIndex2) <=> v84(constB16, bitIndex2))),
% 8.31/5.86 inference(modus_ponens,[status(thm)],[9022, 9021])).
% 8.31/5.86 tff(9024,plain,
% 8.31/5.86 (v84(constB17, bitIndex2) <=> v84(constB16, bitIndex2)),
% 8.31/5.86 inference(unit_resolution,[status(thm)],[9023, 832, 9020])).
% 8.31/5.86 tff(9025,plain,
% 8.31/5.86 (nextState(constB15, constB16) <=> nextState(constB15, constB16)),
% 8.31/5.86 inference(rewrite,[status(thm)],[])).
% 8.31/5.86 tff(9026,axiom,(nextState(constB15, constB16)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_15')).
% 8.31/5.86 tff(9027,plain,
% 8.31/5.86 (nextState(constB15, constB16)),
% 8.31/5.86 inference(modus_ponens,[status(thm)],[9026, 9025])).
% 8.31/5.86 tff(9028,plain,
% 8.31/5.86 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB15, constB16)) | (v94(constB16) <=> (~((~v104(constB16)) | (~v95(constB16))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB15, constB16)) | (v94(constB16) <=> (~((~v104(constB16)) | (~v95(constB16))))))),
% 8.31/5.86 inference(rewrite,[status(thm)],[])).
% 8.31/5.86 tff(9029,plain,
% 8.31/5.86 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB15, constB16)) | (v94(constB16) <=> (~((~v104(constB16)) | (~v95(constB16))))))),
% 8.31/5.86 inference(quant_inst,[status(thm)],[])).
% 8.31/5.86 tff(9030,plain,
% 8.31/5.86 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB15, constB16)) | (v94(constB16) <=> (~((~v104(constB16)) | (~v95(constB16)))))),
% 8.31/5.86 inference(modus_ponens,[status(thm)],[9029, 9028])).
% 8.31/5.86 tff(9031,plain,
% 8.31/5.86 (v94(constB16) <=> (~((~v104(constB16)) | (~v95(constB16))))),
% 8.31/5.87 inference(unit_resolution,[status(thm)],[9030, 9027, 775])).
% 8.31/5.87 tff(9032,plain,
% 8.31/5.87 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB15, constB16)) | (v95(constB16) <=> (~((~v1(constB16)) | (~v96(constB16))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB15, constB16)) | (v95(constB16) <=> (~((~v1(constB16)) | (~v96(constB16))))))),
% 8.31/5.87 inference(rewrite,[status(thm)],[])).
% 8.31/5.87 tff(9033,plain,
% 8.31/5.87 (((~nextState(constB15, constB16)) | (v95(constB16) <=> (~((~v96(constB16)) | (~v1(constB16)))))) <=> ((~nextState(constB15, constB16)) | (v95(constB16) <=> (~((~v1(constB16)) | (~v96(constB16))))))),
% 8.31/5.87 inference(rewrite,[status(thm)],[])).
% 8.31/5.87 tff(9034,plain,
% 8.31/5.87 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB15, constB16)) | (v95(constB16) <=> (~((~v96(constB16)) | (~v1(constB16))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB15, constB16)) | (v95(constB16) <=> (~((~v1(constB16)) | (~v96(constB16)))))))),
% 8.31/5.87 inference(monotonicity,[status(thm)],[9033])).
% 8.31/5.87 tff(9035,plain,
% 8.31/5.87 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB15, constB16)) | (v95(constB16) <=> (~((~v96(constB16)) | (~v1(constB16))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB15, constB16)) | (v95(constB16) <=> (~((~v1(constB16)) | (~v96(constB16))))))),
% 8.31/5.87 inference(transitivity,[status(thm)],[9034, 9032])).
% 8.31/5.87 tff(9036,plain,
% 8.31/5.87 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB15, constB16)) | (v95(constB16) <=> (~((~v96(constB16)) | (~v1(constB16))))))),
% 8.31/5.87 inference(quant_inst,[status(thm)],[])).
% 8.31/5.87 tff(9037,plain,
% 8.31/5.87 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB15, constB16)) | (v95(constB16) <=> (~((~v1(constB16)) | (~v96(constB16)))))),
% 8.31/5.87 inference(modus_ponens,[status(thm)],[9036, 9035])).
% 8.31/5.87 tff(9038,plain,
% 8.31/5.87 (v95(constB16) <=> (~((~v1(constB16)) | (~v96(constB16))))),
% 8.31/5.87 inference(unit_resolution,[status(thm)],[9037, 9027, 795])).
% 8.31/5.87 tff(9039,plain,
% 8.31/5.87 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB15, constB16)) | ((~v96(constB16)) <=> v98(constB16)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB15, constB16)) | ((~v96(constB16)) <=> v98(constB16)))),
% 8.31/5.87 inference(rewrite,[status(thm)],[])).
% 8.31/5.87 tff(9040,plain,
% 8.31/5.87 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB15, constB16)) | ((~v96(constB16)) <=> v98(constB16)))),
% 8.31/5.87 inference(quant_inst,[status(thm)],[])).
% 8.31/5.87 tff(9041,plain,
% 8.31/5.87 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB15, constB16)) | ((~v96(constB16)) <=> v98(constB16))),
% 8.31/5.87 inference(modus_ponens,[status(thm)],[9040, 9039])).
% 8.31/5.87 tff(9042,plain,
% 8.31/5.87 ((~v96(constB16)) <=> v98(constB16)),
% 8.31/5.87 inference(unit_resolution,[status(thm)],[9041, 9027, 860])).
% 8.31/5.87 tff(9043,plain,
% 8.31/5.87 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB15, constB16)) | (v98(constB16) <=> v1(constB15)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB15, constB16)) | (v98(constB16) <=> v1(constB15)))),
% 8.31/5.87 inference(rewrite,[status(thm)],[])).
% 8.31/5.87 tff(9044,plain,
% 8.31/5.87 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB15, constB16)) | (v98(constB16) <=> v1(constB15)))),
% 8.31/5.87 inference(quant_inst,[status(thm)],[])).
% 8.31/5.87 tff(9045,plain,
% 8.31/5.87 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB15, constB16)) | (v98(constB16) <=> v1(constB15))),
% 8.31/5.87 inference(modus_ponens,[status(thm)],[9044, 9043])).
% 8.31/5.87 tff(9046,plain,
% 8.31/5.87 (v98(constB16) <=> v1(constB15)),
% 8.31/5.87 inference(unit_resolution,[status(thm)],[9045, 9027, 874])).
% 8.31/5.87 tff(9047,plain,
% 8.31/5.87 ((~v1(constB15)) <=> (~v1(constB15))),
% 8.31/5.87 inference(rewrite,[status(thm)],[])).
% 8.31/5.87 tff(9048,axiom,(~v1(constB15)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_15')).
% 8.31/5.87 tff(9049,plain,
% 8.31/5.87 (~v1(constB15)),
% 8.31/5.87 inference(modus_ponens,[status(thm)],[9048, 9047])).
% 8.31/5.87 tff(9050,plain,
% 8.31/5.87 ((~(v98(constB16) <=> v1(constB15))) | (~v98(constB16)) | v1(constB15)),
% 8.31/5.87 inference(tautology,[status(thm)],[])).
% 8.31/5.87 tff(9051,plain,
% 8.31/5.87 ((~(v98(constB16) <=> v1(constB15))) | (~v98(constB16))),
% 8.31/5.87 inference(unit_resolution,[status(thm)],[9050, 9049])).
% 8.31/5.87 tff(9052,plain,
% 8.31/5.87 (~v98(constB16)),
% 8.31/5.87 inference(unit_resolution,[status(thm)],[9051, 9046])).
% 8.31/5.87 tff(9053,plain,
% 8.31/5.87 ((~((~v96(constB16)) <=> v98(constB16))) | v96(constB16) | v98(constB16)),
% 8.31/5.87 inference(tautology,[status(thm)],[])).
% 8.31/5.87 tff(9054,plain,
% 8.31/5.87 (v96(constB16)),
% 8.31/5.87 inference(unit_resolution,[status(thm)],[9053, 9052, 9042])).
% 8.31/5.87 tff(9055,plain,
% 8.31/5.87 (v1(constB16) <=> v1(constB16)),
% 8.31/5.87 inference(rewrite,[status(thm)],[])).
% 8.31/5.87 tff(9056,axiom,(v1(constB16)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_16')).
% 8.31/5.87 tff(9057,plain,
% 8.31/5.87 (v1(constB16)),
% 8.31/5.87 inference(modus_ponens,[status(thm)],[9056, 9055])).
% 8.31/5.87 tff(9058,plain,
% 8.31/5.87 ((~((~v1(constB16)) | (~v96(constB16)))) | (~v1(constB16)) | (~v96(constB16))),
% 8.31/5.87 inference(tautology,[status(thm)],[])).
% 8.31/5.87 tff(9059,plain,
% 8.31/5.87 ((~((~v1(constB16)) | (~v96(constB16)))) | (~v96(constB16))),
% 8.31/5.87 inference(unit_resolution,[status(thm)],[9058, 9057])).
% 8.31/5.87 tff(9060,plain,
% 8.31/5.87 (~((~v1(constB16)) | (~v96(constB16)))),
% 8.31/5.87 inference(unit_resolution,[status(thm)],[9059, 9054])).
% 8.31/5.87 tff(9061,plain,
% 8.31/5.87 ((~(v95(constB16) <=> (~((~v1(constB16)) | (~v96(constB16)))))) | v95(constB16) | ((~v1(constB16)) | (~v96(constB16)))),
% 8.31/5.87 inference(tautology,[status(thm)],[])).
% 8.31/5.87 tff(9062,plain,
% 8.31/5.87 (v95(constB16)),
% 8.31/5.87 inference(unit_resolution,[status(thm)],[9061, 9060, 9038])).
% 8.31/5.87 tff(9063,plain,
% 8.31/5.87 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB15, constB16)) | (v104(constB16) <=> v102(constB15)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB15, constB16)) | (v104(constB16) <=> v102(constB15)))),
% 8.31/5.87 inference(rewrite,[status(thm)],[])).
% 8.31/5.87 tff(9064,plain,
% 8.31/5.87 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB15, constB16)) | (v104(constB16) <=> v102(constB15)))),
% 8.31/5.87 inference(quant_inst,[status(thm)],[])).
% 8.31/5.87 tff(9065,plain,
% 8.31/5.87 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB15, constB16)) | (v104(constB16) <=> v102(constB15))),
% 8.31/5.87 inference(modus_ponens,[status(thm)],[9064, 9063])).
% 8.31/5.87 tff(9066,plain,
% 8.31/5.87 (v104(constB16) <=> v102(constB15)),
% 8.31/5.87 inference(unit_resolution,[status(thm)],[9065, 9027, 904])).
% 8.31/5.87 tff(9067,plain,
% 8.31/5.87 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB15) <=> (v105(constB15) | v106(constB15)))),
% 8.31/5.87 inference(quant_inst,[status(thm)],[])).
% 8.31/5.87 tff(9068,plain,
% 8.31/5.87 (v102(constB15) <=> (v105(constB15) | v106(constB15))),
% 8.31/5.87 inference(unit_resolution,[status(thm)],[9067, 915])).
% 8.31/5.87 tff(9069,plain,
% 8.31/5.87 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB15) <=> (~((~v107(constB15)) | (~v120(constB15)))))),
% 8.31/5.87 inference(quant_inst,[status(thm)],[])).
% 8.31/5.87 tff(9070,plain,
% 8.31/5.87 (v106(constB15) <=> (~((~v107(constB15)) | (~v120(constB15))))),
% 8.31/5.87 inference(unit_resolution,[status(thm)],[9069, 927])).
% 8.31/5.87 tff(9071,plain,
% 8.31/5.87 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB15) <=> (v108(constB15) | v119(constB15)))),
% 8.31/5.87 inference(quant_inst,[status(thm)],[])).
% 8.31/5.87 tff(9072,plain,
% 8.31/5.87 (v107(constB15) <=> (v108(constB15) | v119(constB15))),
% 8.31/5.87 inference(unit_resolution,[status(thm)],[9071, 936])).
% 8.31/5.87 tff(9073,plain,
% 8.31/5.87 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB15) <=> (v109(constB15) | v118(constB15)))),
% 8.31/5.87 inference(quant_inst,[status(thm)],[])).
% 8.31/5.87 tff(9074,plain,
% 8.31/5.87 (v108(constB15) <=> (v109(constB15) | v118(constB15))),
% 8.31/5.87 inference(unit_resolution,[status(thm)],[9073, 945])).
% 8.31/5.87 tff(9075,plain,
% 8.31/5.87 ((~![VarCurr: $i] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB15) <=> (v110(constB15) | v117(constB15)))),
% 8.31/5.87 inference(quant_inst,[status(thm)],[])).
% 8.31/5.87 tff(9076,plain,
% 8.31/5.87 (v109(constB15) <=> (v110(constB15) | v117(constB15))),
% 8.31/5.87 inference(unit_resolution,[status(thm)],[9075, 1056])).
% 8.31/5.87 tff(9077,plain,
% 8.31/5.87 ((~![VarCurr: $i] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB15) <=> (v111(constB15) | v116(constB15)))),
% 8.31/5.87 inference(quant_inst,[status(thm)],[])).
% 8.31/5.87 tff(9078,plain,
% 8.31/5.87 (v110(constB15) <=> (v111(constB15) | v116(constB15))),
% 8.31/5.87 inference(unit_resolution,[status(thm)],[9077, 1169])).
% 8.31/5.87 tff(9079,plain,
% 8.31/5.87 ((~![VarCurr: $i] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB15) <=> (v112(constB15) | v115(constB15)))),
% 8.31/5.87 inference(quant_inst,[status(thm)],[])).
% 8.31/5.87 tff(9080,plain,
% 8.31/5.87 (v111(constB15) <=> (v112(constB15) | v115(constB15))),
% 8.31/5.87 inference(unit_resolution,[status(thm)],[9079, 1279])).
% 8.31/5.87 tff(9081,plain,
% 8.31/5.87 ((~![VarCurr: $i] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))) | (v112(constB15) <=> (v113(constB15) | v114(constB15)))),
% 8.31/5.87 inference(quant_inst,[status(thm)],[])).
% 8.31/5.87 tff(9082,plain,
% 8.31/5.87 (v112(constB15) <=> (v113(constB15) | v114(constB15))),
% 8.31/5.87 inference(unit_resolution,[status(thm)],[9081, 1396])).
% 8.31/5.87 tff(9083,plain,
% 8.31/5.87 (((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB15) <=> (~(v84(constB15, bitIndex2) | v84(constB15, bitIndex1) | (~v84(constB15, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB15) <=> (~(v84(constB15, bitIndex2) | v84(constB15, bitIndex1) | (~v84(constB15, bitIndex0))))))),
% 8.31/5.87 inference(rewrite,[status(thm)],[])).
% 8.31/5.87 tff(9084,plain,
% 8.31/5.87 ((v114(constB15) <=> (~(v84(constB15, bitIndex1) | v84(constB15, bitIndex2) | (~v84(constB15, bitIndex0))))) <=> (v114(constB15) <=> (~(v84(constB15, bitIndex2) | v84(constB15, bitIndex1) | (~v84(constB15, bitIndex0)))))),
% 8.31/5.87 inference(rewrite,[status(thm)],[])).
% 8.31/5.87 tff(9085,plain,
% 8.31/5.87 (((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB15) <=> (~(v84(constB15, bitIndex1) | v84(constB15, bitIndex2) | (~v84(constB15, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB15) <=> (~(v84(constB15, bitIndex2) | v84(constB15, bitIndex1) | (~v84(constB15, bitIndex0))))))),
% 8.31/5.87 inference(monotonicity,[status(thm)],[9084])).
% 8.31/5.87 tff(9086,plain,
% 8.31/5.87 (((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB15) <=> (~(v84(constB15, bitIndex1) | v84(constB15, bitIndex2) | (~v84(constB15, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB15) <=> (~(v84(constB15, bitIndex2) | v84(constB15, bitIndex1) | (~v84(constB15, bitIndex0))))))),
% 8.31/5.87 inference(transitivity,[status(thm)],[9085, 9083])).
% 8.31/5.87 tff(9087,plain,
% 8.31/5.87 ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB15) <=> (~(v84(constB15, bitIndex1) | v84(constB15, bitIndex2) | (~v84(constB15, bitIndex0)))))),
% 8.31/5.87 inference(quant_inst,[status(thm)],[])).
% 8.31/5.87 tff(9088,plain,
% 8.31/5.87 ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB15) <=> (~(v84(constB15, bitIndex2) | v84(constB15, bitIndex1) | (~v84(constB15, bitIndex0)))))),
% 8.31/5.87 inference(modus_ponens,[status(thm)],[9087, 9086])).
% 8.31/5.87 tff(9089,plain,
% 8.31/5.87 (v114(constB15) <=> (~(v84(constB15, bitIndex2) | v84(constB15, bitIndex1) | (~v84(constB15, bitIndex0))))),
% 8.31/5.87 inference(unit_resolution,[status(thm)],[9088, 1411])).
% 8.31/5.87 tff(9090,plain,
% 8.31/5.87 (nextState(constB14, constB15) <=> nextState(constB14, constB15)),
% 8.31/5.87 inference(rewrite,[status(thm)],[])).
% 8.31/5.87 tff(9091,axiom,(nextState(constB14, constB15)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_14')).
% 8.31/5.87 tff(9092,plain,
% 8.31/5.87 (nextState(constB14, constB15)),
% 8.31/5.87 inference(modus_ponens,[status(thm)],[9091, 9090])).
% 8.31/5.87 tff(9093,plain,
% 8.31/5.87 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB14, constB15)) | (v94(constB15) <=> (~((~v104(constB15)) | (~v95(constB15))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB14, constB15)) | (v94(constB15) <=> (~((~v104(constB15)) | (~v95(constB15))))))),
% 8.31/5.87 inference(rewrite,[status(thm)],[])).
% 8.31/5.87 tff(9094,plain,
% 8.31/5.87 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB14, constB15)) | (v94(constB15) <=> (~((~v104(constB15)) | (~v95(constB15))))))),
% 8.31/5.87 inference(quant_inst,[status(thm)],[])).
% 8.31/5.87 tff(9095,plain,
% 8.31/5.87 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB14, constB15)) | (v94(constB15) <=> (~((~v104(constB15)) | (~v95(constB15)))))),
% 8.31/5.87 inference(modus_ponens,[status(thm)],[9094, 9093])).
% 8.31/5.87 tff(9096,plain,
% 8.31/5.87 (v94(constB15) <=> (~((~v104(constB15)) | (~v95(constB15))))),
% 8.31/5.87 inference(unit_resolution,[status(thm)],[9095, 9092, 775])).
% 8.31/5.87 tff(9097,plain,
% 8.31/5.87 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB14, constB15)) | (v95(constB15) <=> (~((~v1(constB15)) | (~v96(constB15))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB14, constB15)) | (v95(constB15) <=> (~((~v1(constB15)) | (~v96(constB15))))))),
% 8.31/5.87 inference(rewrite,[status(thm)],[])).
% 8.31/5.87 tff(9098,plain,
% 8.31/5.87 (((~nextState(constB14, constB15)) | (v95(constB15) <=> (~((~v96(constB15)) | (~v1(constB15)))))) <=> ((~nextState(constB14, constB15)) | (v95(constB15) <=> (~((~v1(constB15)) | (~v96(constB15))))))),
% 8.31/5.87 inference(rewrite,[status(thm)],[])).
% 8.31/5.87 tff(9099,plain,
% 8.31/5.87 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB14, constB15)) | (v95(constB15) <=> (~((~v96(constB15)) | (~v1(constB15))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB14, constB15)) | (v95(constB15) <=> (~((~v1(constB15)) | (~v96(constB15)))))))),
% 8.31/5.87 inference(monotonicity,[status(thm)],[9098])).
% 8.31/5.87 tff(9100,plain,
% 8.31/5.87 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB14, constB15)) | (v95(constB15) <=> (~((~v96(constB15)) | (~v1(constB15))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB14, constB15)) | (v95(constB15) <=> (~((~v1(constB15)) | (~v96(constB15))))))),
% 8.31/5.87 inference(transitivity,[status(thm)],[9099, 9097])).
% 8.31/5.87 tff(9101,plain,
% 8.31/5.87 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB14, constB15)) | (v95(constB15) <=> (~((~v96(constB15)) | (~v1(constB15))))))),
% 8.31/5.87 inference(quant_inst,[status(thm)],[])).
% 8.31/5.87 tff(9102,plain,
% 8.31/5.87 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB14, constB15)) | (v95(constB15) <=> (~((~v1(constB15)) | (~v96(constB15)))))),
% 8.31/5.87 inference(modus_ponens,[status(thm)],[9101, 9100])).
% 8.31/5.87 tff(9103,plain,
% 8.31/5.87 (v95(constB15) <=> (~((~v1(constB15)) | (~v96(constB15))))),
% 8.31/5.87 inference(unit_resolution,[status(thm)],[9102, 9092, 795])).
% 8.31/5.87 tff(9104,plain,
% 8.31/5.87 (((~v1(constB15)) | (~v96(constB15))) | v1(constB15)),
% 8.31/5.87 inference(tautology,[status(thm)],[])).
% 8.31/5.87 tff(9105,plain,
% 8.31/5.87 ((~v1(constB15)) | (~v96(constB15))),
% 8.31/5.87 inference(unit_resolution,[status(thm)],[9104, 9049])).
% 8.31/5.87 tff(9106,plain,
% 8.31/5.87 ((~(v95(constB15) <=> (~((~v1(constB15)) | (~v96(constB15)))))) | (~v95(constB15)) | (~((~v1(constB15)) | (~v96(constB15))))),
% 8.31/5.87 inference(tautology,[status(thm)],[])).
% 8.31/5.87 tff(9107,plain,
% 8.31/5.87 ((~(v95(constB15) <=> (~((~v1(constB15)) | (~v96(constB15)))))) | (~v95(constB15))),
% 8.31/5.87 inference(unit_resolution,[status(thm)],[9106, 9105])).
% 8.31/5.87 tff(9108,plain,
% 8.31/5.87 (~v95(constB15)),
% 8.31/5.87 inference(unit_resolution,[status(thm)],[9107, 9103])).
% 8.31/5.87 tff(9109,plain,
% 8.31/5.87 (((~v104(constB15)) | (~v95(constB15))) | v95(constB15)),
% 8.31/5.87 inference(tautology,[status(thm)],[])).
% 8.31/5.87 tff(9110,plain,
% 8.31/5.87 ((~v104(constB15)) | (~v95(constB15))),
% 8.31/5.87 inference(unit_resolution,[status(thm)],[9109, 9108])).
% 8.31/5.87 tff(9111,plain,
% 8.31/5.87 ((~(v94(constB15) <=> (~((~v104(constB15)) | (~v95(constB15)))))) | (~v94(constB15)) | (~((~v104(constB15)) | (~v95(constB15))))),
% 8.31/5.87 inference(tautology,[status(thm)],[])).
% 8.31/5.87 tff(9112,plain,
% 8.31/5.87 (~v94(constB15)),
% 8.31/5.87 inference(unit_resolution,[status(thm)],[9111, 9110, 9096])).
% 8.31/5.87 tff(9113,plain,
% 8.31/5.87 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB15) | (~nextState(constB14, constB15)) | ![B: $i] : ((~less_3(B)) | (v84(constB15, B) <=> v84(constB14, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB15) | (~nextState(constB14, constB15)) | ![B: $i] : ((~less_3(B)) | (v84(constB15, B) <=> v84(constB14, B))))),
% 8.31/5.87 inference(rewrite,[status(thm)],[])).
% 8.31/5.87 tff(9114,plain,
% 8.31/5.87 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB15) | (~nextState(constB14, constB15)) | ![B: $i] : ((~less_3(B)) | (v84(constB15, B) <=> v84(constB14, B))))),
% 8.31/5.87 inference(quant_inst,[status(thm)],[])).
% 8.31/5.87 tff(9115,plain,
% 8.31/5.87 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB15) | (~nextState(constB14, constB15)) | ![B: $i] : ((~less_3(B)) | (v84(constB15, B) <=> v84(constB14, B)))),
% 8.31/5.87 inference(modus_ponens,[status(thm)],[9114, 9113])).
% 8.31/5.87 tff(9116,plain,
% 8.31/5.87 (v94(constB15) | ![B: $i] : ((~less_3(B)) | (v84(constB15, B) <=> v84(constB14, B)))),
% 8.31/5.87 inference(unit_resolution,[status(thm)],[9115, 9092, 824])).
% 8.31/5.87 tff(9117,plain,
% 8.31/5.87 (![B: $i] : ((~less_3(B)) | (v84(constB15, B) <=> v84(constB14, B)))),
% 8.31/5.87 inference(unit_resolution,[status(thm)],[9116, 9112])).
% 8.31/5.87 tff(9118,plain,
% 8.31/5.87 (((~![B: $i] : ((~less_3(B)) | (v84(constB15, B) <=> v84(constB14, B)))) | ((~less_3(bitIndex2)) | (v84(constB15, bitIndex2) <=> v84(constB14, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB15, B) <=> v84(constB14, B)))) | (~less_3(bitIndex2)) | (v84(constB15, bitIndex2) <=> v84(constB14, bitIndex2)))),
% 8.31/5.87 inference(rewrite,[status(thm)],[])).
% 8.31/5.87 tff(9119,plain,
% 8.31/5.87 ((~![B: $i] : ((~less_3(B)) | (v84(constB15, B) <=> v84(constB14, B)))) | ((~less_3(bitIndex2)) | (v84(constB15, bitIndex2) <=> v84(constB14, bitIndex2)))),
% 8.31/5.87 inference(quant_inst,[status(thm)],[])).
% 8.31/5.87 tff(9120,plain,
% 8.31/5.87 ((~![B: $i] : ((~less_3(B)) | (v84(constB15, B) <=> v84(constB14, B)))) | (~less_3(bitIndex2)) | (v84(constB15, bitIndex2) <=> v84(constB14, bitIndex2))),
% 8.31/5.87 inference(modus_ponens,[status(thm)],[9119, 9118])).
% 8.31/5.87 tff(9121,plain,
% 8.31/5.87 (v84(constB15, bitIndex2) <=> v84(constB14, bitIndex2)),
% 8.31/5.87 inference(unit_resolution,[status(thm)],[9120, 832, 9117])).
% 8.31/5.87 tff(9122,plain,
% 8.31/5.87 (nextState(constB13, constB14) <=> nextState(constB13, constB14)),
% 8.31/5.87 inference(rewrite,[status(thm)],[])).
% 8.31/5.87 tff(9123,axiom,(nextState(constB13, constB14)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_13')).
% 8.31/5.87 tff(9124,plain,
% 8.31/5.87 (nextState(constB13, constB14)),
% 8.31/5.87 inference(modus_ponens,[status(thm)],[9123, 9122])).
% 8.31/5.87 tff(9125,plain,
% 8.31/5.87 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB13, constB14)) | (v94(constB14) <=> (~((~v104(constB14)) | (~v95(constB14))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB13, constB14)) | (v94(constB14) <=> (~((~v104(constB14)) | (~v95(constB14))))))),
% 8.31/5.87 inference(rewrite,[status(thm)],[])).
% 8.31/5.87 tff(9126,plain,
% 8.31/5.87 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB13, constB14)) | (v94(constB14) <=> (~((~v104(constB14)) | (~v95(constB14))))))),
% 8.31/5.87 inference(quant_inst,[status(thm)],[])).
% 8.31/5.87 tff(9127,plain,
% 8.31/5.87 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB13, constB14)) | (v94(constB14) <=> (~((~v104(constB14)) | (~v95(constB14)))))),
% 8.31/5.87 inference(modus_ponens,[status(thm)],[9126, 9125])).
% 8.31/5.87 tff(9128,plain,
% 8.31/5.87 (v94(constB14) <=> (~((~v104(constB14)) | (~v95(constB14))))),
% 8.31/5.87 inference(unit_resolution,[status(thm)],[9127, 9124, 775])).
% 8.31/5.87 tff(9129,plain,
% 8.31/5.87 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB13, constB14)) | (v95(constB14) <=> (~((~v1(constB14)) | (~v96(constB14))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB13, constB14)) | (v95(constB14) <=> (~((~v1(constB14)) | (~v96(constB14))))))),
% 8.31/5.87 inference(rewrite,[status(thm)],[])).
% 8.31/5.87 tff(9130,plain,
% 8.31/5.87 (((~nextState(constB13, constB14)) | (v95(constB14) <=> (~((~v96(constB14)) | (~v1(constB14)))))) <=> ((~nextState(constB13, constB14)) | (v95(constB14) <=> (~((~v1(constB14)) | (~v96(constB14))))))),
% 8.31/5.87 inference(rewrite,[status(thm)],[])).
% 8.31/5.87 tff(9131,plain,
% 8.31/5.87 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB13, constB14)) | (v95(constB14) <=> (~((~v96(constB14)) | (~v1(constB14))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB13, constB14)) | (v95(constB14) <=> (~((~v1(constB14)) | (~v96(constB14)))))))),
% 8.31/5.87 inference(monotonicity,[status(thm)],[9130])).
% 8.31/5.87 tff(9132,plain,
% 8.31/5.87 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB13, constB14)) | (v95(constB14) <=> (~((~v96(constB14)) | (~v1(constB14))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB13, constB14)) | (v95(constB14) <=> (~((~v1(constB14)) | (~v96(constB14))))))),
% 8.31/5.87 inference(transitivity,[status(thm)],[9131, 9129])).
% 8.31/5.87 tff(9133,plain,
% 8.31/5.87 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB13, constB14)) | (v95(constB14) <=> (~((~v96(constB14)) | (~v1(constB14))))))),
% 8.31/5.87 inference(quant_inst,[status(thm)],[])).
% 8.31/5.87 tff(9134,plain,
% 8.31/5.87 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB13, constB14)) | (v95(constB14) <=> (~((~v1(constB14)) | (~v96(constB14)))))),
% 8.31/5.87 inference(modus_ponens,[status(thm)],[9133, 9132])).
% 8.31/5.87 tff(9135,plain,
% 8.31/5.87 (v95(constB14) <=> (~((~v1(constB14)) | (~v96(constB14))))),
% 8.31/5.87 inference(unit_resolution,[status(thm)],[9134, 9124, 795])).
% 8.31/5.87 tff(9136,plain,
% 8.31/5.87 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB13, constB14)) | ((~v96(constB14)) <=> v98(constB14)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB13, constB14)) | ((~v96(constB14)) <=> v98(constB14)))),
% 8.31/5.87 inference(rewrite,[status(thm)],[])).
% 8.31/5.87 tff(9137,plain,
% 8.31/5.87 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB13, constB14)) | ((~v96(constB14)) <=> v98(constB14)))),
% 8.31/5.87 inference(quant_inst,[status(thm)],[])).
% 8.31/5.87 tff(9138,plain,
% 8.31/5.87 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB13, constB14)) | ((~v96(constB14)) <=> v98(constB14))),
% 8.31/5.87 inference(modus_ponens,[status(thm)],[9137, 9136])).
% 8.31/5.87 tff(9139,plain,
% 8.31/5.87 ((~v96(constB14)) <=> v98(constB14)),
% 8.31/5.87 inference(unit_resolution,[status(thm)],[9138, 9124, 860])).
% 8.31/5.87 tff(9140,plain,
% 8.31/5.87 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB13, constB14)) | (v98(constB14) <=> v1(constB13)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB13, constB14)) | (v98(constB14) <=> v1(constB13)))),
% 8.31/5.87 inference(rewrite,[status(thm)],[])).
% 8.31/5.87 tff(9141,plain,
% 8.31/5.87 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB13, constB14)) | (v98(constB14) <=> v1(constB13)))),
% 8.31/5.87 inference(quant_inst,[status(thm)],[])).
% 8.31/5.87 tff(9142,plain,
% 8.31/5.87 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB13, constB14)) | (v98(constB14) <=> v1(constB13))),
% 8.31/5.87 inference(modus_ponens,[status(thm)],[9141, 9140])).
% 8.31/5.87 tff(9143,plain,
% 8.31/5.87 (v98(constB14) <=> v1(constB13)),
% 8.31/5.87 inference(unit_resolution,[status(thm)],[9142, 9124, 874])).
% 8.31/5.87 tff(9144,plain,
% 8.31/5.87 ((~v1(constB13)) <=> (~v1(constB13))),
% 8.31/5.87 inference(rewrite,[status(thm)],[])).
% 8.31/5.87 tff(9145,axiom,(~v1(constB13)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_13')).
% 8.31/5.87 tff(9146,plain,
% 8.31/5.87 (~v1(constB13)),
% 8.31/5.87 inference(modus_ponens,[status(thm)],[9145, 9144])).
% 8.31/5.87 tff(9147,plain,
% 8.31/5.87 ((~(v98(constB14) <=> v1(constB13))) | (~v98(constB14)) | v1(constB13)),
% 8.31/5.87 inference(tautology,[status(thm)],[])).
% 8.31/5.87 tff(9148,plain,
% 8.31/5.87 ((~(v98(constB14) <=> v1(constB13))) | (~v98(constB14))),
% 8.31/5.87 inference(unit_resolution,[status(thm)],[9147, 9146])).
% 8.31/5.87 tff(9149,plain,
% 8.31/5.87 (~v98(constB14)),
% 8.31/5.87 inference(unit_resolution,[status(thm)],[9148, 9143])).
% 8.31/5.87 tff(9150,plain,
% 8.31/5.87 ((~((~v96(constB14)) <=> v98(constB14))) | v96(constB14) | v98(constB14)),
% 8.31/5.87 inference(tautology,[status(thm)],[])).
% 8.31/5.87 tff(9151,plain,
% 8.31/5.87 (v96(constB14)),
% 8.31/5.87 inference(unit_resolution,[status(thm)],[9150, 9149, 9139])).
% 8.31/5.87 tff(9152,plain,
% 8.31/5.87 (v1(constB14) <=> v1(constB14)),
% 8.31/5.87 inference(rewrite,[status(thm)],[])).
% 8.31/5.87 tff(9153,axiom,(v1(constB14)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_14')).
% 8.31/5.87 tff(9154,plain,
% 8.31/5.87 (v1(constB14)),
% 8.31/5.87 inference(modus_ponens,[status(thm)],[9153, 9152])).
% 8.31/5.87 tff(9155,plain,
% 8.31/5.87 ((~((~v1(constB14)) | (~v96(constB14)))) | (~v1(constB14)) | (~v96(constB14))),
% 8.31/5.87 inference(tautology,[status(thm)],[])).
% 8.31/5.87 tff(9156,plain,
% 8.31/5.87 ((~((~v1(constB14)) | (~v96(constB14)))) | (~v96(constB14))),
% 8.31/5.87 inference(unit_resolution,[status(thm)],[9155, 9154])).
% 8.31/5.87 tff(9157,plain,
% 8.31/5.87 (~((~v1(constB14)) | (~v96(constB14)))),
% 8.31/5.87 inference(unit_resolution,[status(thm)],[9156, 9151])).
% 8.31/5.87 tff(9158,plain,
% 8.31/5.87 ((~(v95(constB14) <=> (~((~v1(constB14)) | (~v96(constB14)))))) | v95(constB14) | ((~v1(constB14)) | (~v96(constB14)))),
% 8.31/5.87 inference(tautology,[status(thm)],[])).
% 8.31/5.87 tff(9159,plain,
% 8.31/5.87 (v95(constB14)),
% 8.31/5.87 inference(unit_resolution,[status(thm)],[9158, 9157, 9135])).
% 8.31/5.87 tff(9160,plain,
% 8.31/5.87 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB13, constB14)) | (v104(constB14) <=> v102(constB13)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB13, constB14)) | (v104(constB14) <=> v102(constB13)))),
% 8.31/5.87 inference(rewrite,[status(thm)],[])).
% 8.31/5.87 tff(9161,plain,
% 8.31/5.87 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB13, constB14)) | (v104(constB14) <=> v102(constB13)))),
% 8.31/5.87 inference(quant_inst,[status(thm)],[])).
% 8.31/5.87 tff(9162,plain,
% 8.31/5.87 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB13, constB14)) | (v104(constB14) <=> v102(constB13))),
% 8.31/5.87 inference(modus_ponens,[status(thm)],[9161, 9160])).
% 8.31/5.87 tff(9163,plain,
% 8.31/5.87 (v104(constB14) <=> v102(constB13)),
% 8.31/5.87 inference(unit_resolution,[status(thm)],[9162, 9124, 904])).
% 8.31/5.87 tff(9164,plain,
% 8.31/5.87 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB13) <=> (v105(constB13) | v106(constB13)))),
% 8.31/5.87 inference(quant_inst,[status(thm)],[])).
% 8.31/5.87 tff(9165,plain,
% 8.31/5.87 (v102(constB13) <=> (v105(constB13) | v106(constB13))),
% 8.31/5.87 inference(unit_resolution,[status(thm)],[9164, 915])).
% 8.31/5.87 tff(9166,plain,
% 8.31/5.87 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB13) <=> (~((~v107(constB13)) | (~v120(constB13)))))),
% 8.31/5.87 inference(quant_inst,[status(thm)],[])).
% 8.31/5.87 tff(9167,plain,
% 8.31/5.87 (v106(constB13) <=> (~((~v107(constB13)) | (~v120(constB13))))),
% 8.31/5.87 inference(unit_resolution,[status(thm)],[9166, 927])).
% 8.31/5.87 tff(9168,plain,
% 8.31/5.87 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB13) <=> (v108(constB13) | v119(constB13)))),
% 8.31/5.87 inference(quant_inst,[status(thm)],[])).
% 8.31/5.87 tff(9169,plain,
% 8.31/5.87 (v107(constB13) <=> (v108(constB13) | v119(constB13))),
% 8.31/5.87 inference(unit_resolution,[status(thm)],[9168, 936])).
% 8.31/5.87 tff(9170,plain,
% 8.31/5.87 (((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB13) <=> (~((~v84(constB13, bitIndex2)) | (~v84(constB13, bitIndex1)) | v84(constB13, bitIndex0))))) <=> ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB13) <=> (~((~v84(constB13, bitIndex2)) | (~v84(constB13, bitIndex1)) | v84(constB13, bitIndex0)))))),
% 8.31/5.87 inference(rewrite,[status(thm)],[])).
% 8.31/5.87 tff(9171,plain,
% 8.31/5.87 ((v119(constB13) <=> (~(v84(constB13, bitIndex0) | (~v84(constB13, bitIndex1)) | (~v84(constB13, bitIndex2))))) <=> (v119(constB13) <=> (~((~v84(constB13, bitIndex2)) | (~v84(constB13, bitIndex1)) | v84(constB13, bitIndex0))))),
% 8.31/5.87 inference(rewrite,[status(thm)],[])).
% 8.31/5.87 tff(9172,plain,
% 8.31/5.87 (((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB13) <=> (~(v84(constB13, bitIndex0) | (~v84(constB13, bitIndex1)) | (~v84(constB13, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB13) <=> (~((~v84(constB13, bitIndex2)) | (~v84(constB13, bitIndex1)) | v84(constB13, bitIndex0)))))),
% 8.31/5.87 inference(monotonicity,[status(thm)],[9171])).
% 8.31/5.87 tff(9173,plain,
% 8.31/5.87 (((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB13) <=> (~(v84(constB13, bitIndex0) | (~v84(constB13, bitIndex1)) | (~v84(constB13, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB13) <=> (~((~v84(constB13, bitIndex2)) | (~v84(constB13, bitIndex1)) | v84(constB13, bitIndex0)))))),
% 8.31/5.87 inference(transitivity,[status(thm)],[9172, 9170])).
% 8.31/5.87 tff(9174,plain,
% 8.31/5.87 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB13) <=> (~(v84(constB13, bitIndex0) | (~v84(constB13, bitIndex1)) | (~v84(constB13, bitIndex2)))))),
% 8.31/5.87 inference(quant_inst,[status(thm)],[])).
% 8.31/5.87 tff(9175,plain,
% 8.31/5.87 ((~![VarCurr: $i] : (v119(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex2)))))) | (v119(constB13) <=> (~((~v84(constB13, bitIndex2)) | (~v84(constB13, bitIndex1)) | v84(constB13, bitIndex0))))),
% 8.31/5.87 inference(modus_ponens,[status(thm)],[9174, 9173])).
% 8.31/5.87 tff(9176,plain,
% 8.31/5.87 (v119(constB13) <=> (~((~v84(constB13, bitIndex2)) | (~v84(constB13, bitIndex1)) | v84(constB13, bitIndex0)))),
% 8.31/5.87 inference(unit_resolution,[status(thm)],[9175, 1511])).
% 8.31/5.87 tff(9177,plain,
% 8.31/5.87 (nextState(constB12, constB13) <=> nextState(constB12, constB13)),
% 8.31/5.87 inference(rewrite,[status(thm)],[])).
% 8.31/5.87 tff(9178,axiom,(nextState(constB12, constB13)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_12')).
% 8.31/5.87 tff(9179,plain,
% 8.31/5.87 (nextState(constB12, constB13)),
% 8.31/5.87 inference(modus_ponens,[status(thm)],[9178, 9177])).
% 8.31/5.87 tff(9180,plain,
% 8.31/5.87 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB12, constB13)) | (v94(constB13) <=> (~((~v104(constB13)) | (~v95(constB13))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB12, constB13)) | (v94(constB13) <=> (~((~v104(constB13)) | (~v95(constB13))))))),
% 8.31/5.87 inference(rewrite,[status(thm)],[])).
% 8.31/5.87 tff(9181,plain,
% 8.31/5.87 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB12, constB13)) | (v94(constB13) <=> (~((~v104(constB13)) | (~v95(constB13))))))),
% 8.31/5.87 inference(quant_inst,[status(thm)],[])).
% 8.31/5.87 tff(9182,plain,
% 8.31/5.87 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB12, constB13)) | (v94(constB13) <=> (~((~v104(constB13)) | (~v95(constB13)))))),
% 8.31/5.87 inference(modus_ponens,[status(thm)],[9181, 9180])).
% 8.31/5.87 tff(9183,plain,
% 8.31/5.87 (v94(constB13) <=> (~((~v104(constB13)) | (~v95(constB13))))),
% 8.31/5.88 inference(unit_resolution,[status(thm)],[9182, 9179, 775])).
% 8.31/5.88 tff(9184,plain,
% 8.31/5.88 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB12, constB13)) | (v95(constB13) <=> (~((~v1(constB13)) | (~v96(constB13))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB12, constB13)) | (v95(constB13) <=> (~((~v1(constB13)) | (~v96(constB13))))))),
% 8.31/5.88 inference(rewrite,[status(thm)],[])).
% 8.31/5.88 tff(9185,plain,
% 8.31/5.88 (((~nextState(constB12, constB13)) | (v95(constB13) <=> (~((~v96(constB13)) | (~v1(constB13)))))) <=> ((~nextState(constB12, constB13)) | (v95(constB13) <=> (~((~v1(constB13)) | (~v96(constB13))))))),
% 8.31/5.88 inference(rewrite,[status(thm)],[])).
% 8.31/5.88 tff(9186,plain,
% 8.31/5.88 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB12, constB13)) | (v95(constB13) <=> (~((~v96(constB13)) | (~v1(constB13))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB12, constB13)) | (v95(constB13) <=> (~((~v1(constB13)) | (~v96(constB13)))))))),
% 8.31/5.88 inference(monotonicity,[status(thm)],[9185])).
% 8.31/5.88 tff(9187,plain,
% 8.31/5.88 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB12, constB13)) | (v95(constB13) <=> (~((~v96(constB13)) | (~v1(constB13))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB12, constB13)) | (v95(constB13) <=> (~((~v1(constB13)) | (~v96(constB13))))))),
% 8.31/5.88 inference(transitivity,[status(thm)],[9186, 9184])).
% 8.31/5.88 tff(9188,plain,
% 8.31/5.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB12, constB13)) | (v95(constB13) <=> (~((~v96(constB13)) | (~v1(constB13))))))),
% 8.31/5.88 inference(quant_inst,[status(thm)],[])).
% 8.31/5.88 tff(9189,plain,
% 8.31/5.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB12, constB13)) | (v95(constB13) <=> (~((~v1(constB13)) | (~v96(constB13)))))),
% 8.31/5.88 inference(modus_ponens,[status(thm)],[9188, 9187])).
% 8.31/5.88 tff(9190,plain,
% 8.31/5.88 (v95(constB13) <=> (~((~v1(constB13)) | (~v96(constB13))))),
% 8.31/5.88 inference(unit_resolution,[status(thm)],[9189, 9179, 795])).
% 8.31/5.88 tff(9191,plain,
% 8.31/5.88 (((~v1(constB13)) | (~v96(constB13))) | v1(constB13)),
% 8.31/5.88 inference(tautology,[status(thm)],[])).
% 8.31/5.88 tff(9192,plain,
% 8.31/5.88 ((~v1(constB13)) | (~v96(constB13))),
% 8.31/5.88 inference(unit_resolution,[status(thm)],[9191, 9146])).
% 8.31/5.88 tff(9193,plain,
% 8.31/5.88 ((~(v95(constB13) <=> (~((~v1(constB13)) | (~v96(constB13)))))) | (~v95(constB13)) | (~((~v1(constB13)) | (~v96(constB13))))),
% 8.31/5.88 inference(tautology,[status(thm)],[])).
% 8.31/5.88 tff(9194,plain,
% 8.31/5.88 ((~(v95(constB13) <=> (~((~v1(constB13)) | (~v96(constB13)))))) | (~v95(constB13))),
% 8.31/5.88 inference(unit_resolution,[status(thm)],[9193, 9192])).
% 8.31/5.88 tff(9195,plain,
% 8.31/5.88 (~v95(constB13)),
% 8.31/5.88 inference(unit_resolution,[status(thm)],[9194, 9190])).
% 8.31/5.88 tff(9196,plain,
% 8.31/5.88 (((~v104(constB13)) | (~v95(constB13))) | v95(constB13)),
% 8.31/5.88 inference(tautology,[status(thm)],[])).
% 8.31/5.88 tff(9197,plain,
% 8.31/5.88 ((~v104(constB13)) | (~v95(constB13))),
% 8.31/5.88 inference(unit_resolution,[status(thm)],[9196, 9195])).
% 8.31/5.88 tff(9198,plain,
% 8.31/5.88 ((~(v94(constB13) <=> (~((~v104(constB13)) | (~v95(constB13)))))) | (~v94(constB13)) | (~((~v104(constB13)) | (~v95(constB13))))),
% 8.31/5.88 inference(tautology,[status(thm)],[])).
% 8.31/5.88 tff(9199,plain,
% 8.31/5.88 (~v94(constB13)),
% 8.31/5.88 inference(unit_resolution,[status(thm)],[9198, 9197, 9183])).
% 8.31/5.88 tff(9200,plain,
% 8.31/5.88 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB13) | (~nextState(constB12, constB13)) | ![B: $i] : ((~less_3(B)) | (v84(constB13, B) <=> v84(constB12, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB13) | (~nextState(constB12, constB13)) | ![B: $i] : ((~less_3(B)) | (v84(constB13, B) <=> v84(constB12, B))))),
% 8.31/5.88 inference(rewrite,[status(thm)],[])).
% 8.31/5.88 tff(9201,plain,
% 8.31/5.88 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB13) | (~nextState(constB12, constB13)) | ![B: $i] : ((~less_3(B)) | (v84(constB13, B) <=> v84(constB12, B))))),
% 8.31/5.88 inference(quant_inst,[status(thm)],[])).
% 8.31/5.88 tff(9202,plain,
% 8.31/5.88 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB13) | (~nextState(constB12, constB13)) | ![B: $i] : ((~less_3(B)) | (v84(constB13, B) <=> v84(constB12, B)))),
% 8.31/5.88 inference(modus_ponens,[status(thm)],[9201, 9200])).
% 8.31/5.88 tff(9203,plain,
% 8.31/5.88 (v94(constB13) | ![B: $i] : ((~less_3(B)) | (v84(constB13, B) <=> v84(constB12, B)))),
% 8.31/5.88 inference(unit_resolution,[status(thm)],[9202, 9179, 824])).
% 8.31/5.88 tff(9204,plain,
% 8.31/5.88 (![B: $i] : ((~less_3(B)) | (v84(constB13, B) <=> v84(constB12, B)))),
% 8.31/5.88 inference(unit_resolution,[status(thm)],[9203, 9199])).
% 8.31/5.88 tff(9205,plain,
% 8.31/5.88 (((~![B: $i] : ((~less_3(B)) | (v84(constB13, B) <=> v84(constB12, B)))) | ((~less_3(bitIndex2)) | (v84(constB13, bitIndex2) <=> v84(constB12, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB13, B) <=> v84(constB12, B)))) | (~less_3(bitIndex2)) | (v84(constB13, bitIndex2) <=> v84(constB12, bitIndex2)))),
% 8.31/5.88 inference(rewrite,[status(thm)],[])).
% 8.31/5.88 tff(9206,plain,
% 8.31/5.88 ((~![B: $i] : ((~less_3(B)) | (v84(constB13, B) <=> v84(constB12, B)))) | ((~less_3(bitIndex2)) | (v84(constB13, bitIndex2) <=> v84(constB12, bitIndex2)))),
% 8.31/5.88 inference(quant_inst,[status(thm)],[])).
% 8.31/5.88 tff(9207,plain,
% 8.31/5.88 ((~![B: $i] : ((~less_3(B)) | (v84(constB13, B) <=> v84(constB12, B)))) | (~less_3(bitIndex2)) | (v84(constB13, bitIndex2) <=> v84(constB12, bitIndex2))),
% 8.31/5.88 inference(modus_ponens,[status(thm)],[9206, 9205])).
% 8.31/5.88 tff(9208,plain,
% 8.31/5.88 (v84(constB13, bitIndex2) <=> v84(constB12, bitIndex2)),
% 8.31/5.88 inference(unit_resolution,[status(thm)],[9207, 832, 9204])).
% 8.31/5.88 tff(9209,plain,
% 8.31/5.88 (nextState(constB11, constB12) <=> nextState(constB11, constB12)),
% 8.31/5.88 inference(rewrite,[status(thm)],[])).
% 8.31/5.88 tff(9210,axiom,(nextState(constB11, constB12)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_11')).
% 8.31/5.88 tff(9211,plain,
% 8.31/5.88 (nextState(constB11, constB12)),
% 8.31/5.88 inference(modus_ponens,[status(thm)],[9210, 9209])).
% 8.31/5.88 tff(9212,plain,
% 8.31/5.88 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB11, constB12)) | (v94(constB12) <=> (~((~v104(constB12)) | (~v95(constB12))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB11, constB12)) | (v94(constB12) <=> (~((~v104(constB12)) | (~v95(constB12))))))),
% 8.31/5.88 inference(rewrite,[status(thm)],[])).
% 8.31/5.88 tff(9213,plain,
% 8.31/5.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB11, constB12)) | (v94(constB12) <=> (~((~v104(constB12)) | (~v95(constB12))))))),
% 8.31/5.88 inference(quant_inst,[status(thm)],[])).
% 8.31/5.88 tff(9214,plain,
% 8.31/5.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB11, constB12)) | (v94(constB12) <=> (~((~v104(constB12)) | (~v95(constB12)))))),
% 8.31/5.88 inference(modus_ponens,[status(thm)],[9213, 9212])).
% 8.31/5.88 tff(9215,plain,
% 8.31/5.88 (v94(constB12) <=> (~((~v104(constB12)) | (~v95(constB12))))),
% 8.31/5.88 inference(unit_resolution,[status(thm)],[9214, 9211, 775])).
% 8.31/5.88 tff(9216,plain,
% 8.31/5.88 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB11, constB12)) | (v95(constB12) <=> (~((~v1(constB12)) | (~v96(constB12))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB11, constB12)) | (v95(constB12) <=> (~((~v1(constB12)) | (~v96(constB12))))))),
% 8.31/5.88 inference(rewrite,[status(thm)],[])).
% 8.31/5.88 tff(9217,plain,
% 8.31/5.88 (((~nextState(constB11, constB12)) | (v95(constB12) <=> (~((~v96(constB12)) | (~v1(constB12)))))) <=> ((~nextState(constB11, constB12)) | (v95(constB12) <=> (~((~v1(constB12)) | (~v96(constB12))))))),
% 8.31/5.88 inference(rewrite,[status(thm)],[])).
% 8.31/5.88 tff(9218,plain,
% 8.31/5.88 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB11, constB12)) | (v95(constB12) <=> (~((~v96(constB12)) | (~v1(constB12))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB11, constB12)) | (v95(constB12) <=> (~((~v1(constB12)) | (~v96(constB12)))))))),
% 8.31/5.88 inference(monotonicity,[status(thm)],[9217])).
% 8.31/5.88 tff(9219,plain,
% 8.31/5.88 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB11, constB12)) | (v95(constB12) <=> (~((~v96(constB12)) | (~v1(constB12))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB11, constB12)) | (v95(constB12) <=> (~((~v1(constB12)) | (~v96(constB12))))))),
% 8.31/5.88 inference(transitivity,[status(thm)],[9218, 9216])).
% 8.31/5.88 tff(9220,plain,
% 8.31/5.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB11, constB12)) | (v95(constB12) <=> (~((~v96(constB12)) | (~v1(constB12))))))),
% 8.31/5.88 inference(quant_inst,[status(thm)],[])).
% 8.31/5.88 tff(9221,plain,
% 8.31/5.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB11, constB12)) | (v95(constB12) <=> (~((~v1(constB12)) | (~v96(constB12)))))),
% 8.31/5.88 inference(modus_ponens,[status(thm)],[9220, 9219])).
% 8.31/5.88 tff(9222,plain,
% 8.31/5.88 (v95(constB12) <=> (~((~v1(constB12)) | (~v96(constB12))))),
% 8.31/5.88 inference(unit_resolution,[status(thm)],[9221, 9211, 795])).
% 8.31/5.88 tff(9223,plain,
% 8.31/5.88 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB11, constB12)) | ((~v96(constB12)) <=> v98(constB12)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB11, constB12)) | ((~v96(constB12)) <=> v98(constB12)))),
% 8.31/5.88 inference(rewrite,[status(thm)],[])).
% 8.31/5.88 tff(9224,plain,
% 8.31/5.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB11, constB12)) | ((~v96(constB12)) <=> v98(constB12)))),
% 8.31/5.88 inference(quant_inst,[status(thm)],[])).
% 8.31/5.88 tff(9225,plain,
% 8.31/5.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB11, constB12)) | ((~v96(constB12)) <=> v98(constB12))),
% 8.31/5.88 inference(modus_ponens,[status(thm)],[9224, 9223])).
% 8.31/5.88 tff(9226,plain,
% 8.31/5.88 ((~v96(constB12)) <=> v98(constB12)),
% 8.31/5.88 inference(unit_resolution,[status(thm)],[9225, 9211, 860])).
% 8.31/5.88 tff(9227,plain,
% 8.31/5.88 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB11, constB12)) | (v98(constB12) <=> v1(constB11)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB11, constB12)) | (v98(constB12) <=> v1(constB11)))),
% 8.31/5.88 inference(rewrite,[status(thm)],[])).
% 8.31/5.88 tff(9228,plain,
% 8.31/5.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB11, constB12)) | (v98(constB12) <=> v1(constB11)))),
% 8.31/5.88 inference(quant_inst,[status(thm)],[])).
% 8.31/5.88 tff(9229,plain,
% 8.31/5.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB11, constB12)) | (v98(constB12) <=> v1(constB11))),
% 8.31/5.88 inference(modus_ponens,[status(thm)],[9228, 9227])).
% 8.31/5.88 tff(9230,plain,
% 8.31/5.88 (v98(constB12) <=> v1(constB11)),
% 8.31/5.88 inference(unit_resolution,[status(thm)],[9229, 9211, 874])).
% 8.31/5.88 tff(9231,plain,
% 8.31/5.88 ((~v1(constB11)) <=> (~v1(constB11))),
% 8.31/5.88 inference(rewrite,[status(thm)],[])).
% 8.31/5.88 tff(9232,axiom,(~v1(constB11)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_11')).
% 8.31/5.88 tff(9233,plain,
% 8.31/5.88 (~v1(constB11)),
% 8.31/5.88 inference(modus_ponens,[status(thm)],[9232, 9231])).
% 8.31/5.88 tff(9234,plain,
% 8.31/5.88 ((~(v98(constB12) <=> v1(constB11))) | (~v98(constB12)) | v1(constB11)),
% 8.31/5.88 inference(tautology,[status(thm)],[])).
% 8.31/5.88 tff(9235,plain,
% 8.31/5.88 ((~(v98(constB12) <=> v1(constB11))) | (~v98(constB12))),
% 8.31/5.88 inference(unit_resolution,[status(thm)],[9234, 9233])).
% 8.31/5.88 tff(9236,plain,
% 8.31/5.88 (~v98(constB12)),
% 8.31/5.88 inference(unit_resolution,[status(thm)],[9235, 9230])).
% 8.31/5.88 tff(9237,plain,
% 8.31/5.88 ((~((~v96(constB12)) <=> v98(constB12))) | v96(constB12) | v98(constB12)),
% 8.31/5.88 inference(tautology,[status(thm)],[])).
% 8.31/5.88 tff(9238,plain,
% 8.31/5.88 (v96(constB12)),
% 8.31/5.88 inference(unit_resolution,[status(thm)],[9237, 9236, 9226])).
% 8.31/5.88 tff(9239,plain,
% 8.31/5.88 (v1(constB12) <=> v1(constB12)),
% 8.31/5.88 inference(rewrite,[status(thm)],[])).
% 8.31/5.88 tff(9240,axiom,(v1(constB12)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_12')).
% 8.31/5.88 tff(9241,plain,
% 8.31/5.88 (v1(constB12)),
% 8.31/5.88 inference(modus_ponens,[status(thm)],[9240, 9239])).
% 8.31/5.88 tff(9242,plain,
% 8.31/5.88 ((~((~v1(constB12)) | (~v96(constB12)))) | (~v1(constB12)) | (~v96(constB12))),
% 8.31/5.88 inference(tautology,[status(thm)],[])).
% 8.31/5.88 tff(9243,plain,
% 8.31/5.88 ((~((~v1(constB12)) | (~v96(constB12)))) | (~v96(constB12))),
% 8.31/5.88 inference(unit_resolution,[status(thm)],[9242, 9241])).
% 8.31/5.88 tff(9244,plain,
% 8.31/5.88 (~((~v1(constB12)) | (~v96(constB12)))),
% 8.31/5.88 inference(unit_resolution,[status(thm)],[9243, 9238])).
% 8.31/5.88 tff(9245,plain,
% 8.31/5.88 ((~(v95(constB12) <=> (~((~v1(constB12)) | (~v96(constB12)))))) | v95(constB12) | ((~v1(constB12)) | (~v96(constB12)))),
% 8.31/5.88 inference(tautology,[status(thm)],[])).
% 8.31/5.88 tff(9246,plain,
% 8.31/5.88 (v95(constB12)),
% 8.31/5.88 inference(unit_resolution,[status(thm)],[9245, 9244, 9222])).
% 8.31/5.88 tff(9247,plain,
% 8.31/5.88 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB11, constB12)) | (v104(constB12) <=> v102(constB11)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB11, constB12)) | (v104(constB12) <=> v102(constB11)))),
% 8.31/5.88 inference(rewrite,[status(thm)],[])).
% 8.31/5.88 tff(9248,plain,
% 8.31/5.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB11, constB12)) | (v104(constB12) <=> v102(constB11)))),
% 8.31/5.88 inference(quant_inst,[status(thm)],[])).
% 8.31/5.88 tff(9249,plain,
% 8.31/5.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB11, constB12)) | (v104(constB12) <=> v102(constB11))),
% 8.31/5.88 inference(modus_ponens,[status(thm)],[9248, 9247])).
% 8.31/5.88 tff(9250,plain,
% 8.31/5.88 (v104(constB12) <=> v102(constB11)),
% 8.31/5.88 inference(unit_resolution,[status(thm)],[9249, 9211, 904])).
% 8.31/5.88 tff(9251,plain,
% 8.31/5.88 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB11) <=> (v105(constB11) | v106(constB11)))),
% 8.31/5.88 inference(quant_inst,[status(thm)],[])).
% 8.31/5.88 tff(9252,plain,
% 8.31/5.88 (v102(constB11) <=> (v105(constB11) | v106(constB11))),
% 8.31/5.88 inference(unit_resolution,[status(thm)],[9251, 915])).
% 8.31/5.88 tff(9253,plain,
% 8.31/5.88 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB11) <=> (~((~v107(constB11)) | (~v120(constB11)))))),
% 8.31/5.88 inference(quant_inst,[status(thm)],[])).
% 8.31/5.88 tff(9254,plain,
% 8.31/5.88 (v106(constB11) <=> (~((~v107(constB11)) | (~v120(constB11))))),
% 8.31/5.88 inference(unit_resolution,[status(thm)],[9253, 927])).
% 8.31/5.88 tff(9255,plain,
% 8.31/5.88 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB11) <=> (v108(constB11) | v119(constB11)))),
% 8.31/5.88 inference(quant_inst,[status(thm)],[])).
% 8.31/5.88 tff(9256,plain,
% 8.31/5.88 (v107(constB11) <=> (v108(constB11) | v119(constB11))),
% 8.31/5.88 inference(unit_resolution,[status(thm)],[9255, 936])).
% 8.31/5.88 tff(9257,plain,
% 8.31/5.88 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB11) <=> (v109(constB11) | v118(constB11)))),
% 8.31/5.88 inference(quant_inst,[status(thm)],[])).
% 8.31/5.88 tff(9258,plain,
% 8.31/5.88 (v108(constB11) <=> (v109(constB11) | v118(constB11))),
% 8.31/5.88 inference(unit_resolution,[status(thm)],[9257, 945])).
% 8.31/5.88 tff(9259,plain,
% 8.31/5.88 (((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB11) <=> (~((~v84(constB11, bitIndex2)) | v84(constB11, bitIndex1) | (~v84(constB11, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB11) <=> (~((~v84(constB11, bitIndex2)) | v84(constB11, bitIndex1) | (~v84(constB11, bitIndex0))))))),
% 8.31/5.88 inference(rewrite,[status(thm)],[])).
% 8.31/5.88 tff(9260,plain,
% 8.31/5.88 ((v118(constB11) <=> (~(v84(constB11, bitIndex1) | (~v84(constB11, bitIndex0)) | (~v84(constB11, bitIndex2))))) <=> (v118(constB11) <=> (~((~v84(constB11, bitIndex2)) | v84(constB11, bitIndex1) | (~v84(constB11, bitIndex0)))))),
% 8.31/5.88 inference(rewrite,[status(thm)],[])).
% 8.31/5.88 tff(9261,plain,
% 8.31/5.88 (((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB11) <=> (~(v84(constB11, bitIndex1) | (~v84(constB11, bitIndex0)) | (~v84(constB11, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB11) <=> (~((~v84(constB11, bitIndex2)) | v84(constB11, bitIndex1) | (~v84(constB11, bitIndex0))))))),
% 8.31/5.88 inference(monotonicity,[status(thm)],[9260])).
% 8.31/5.88 tff(9262,plain,
% 8.31/5.88 (((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB11) <=> (~(v84(constB11, bitIndex1) | (~v84(constB11, bitIndex0)) | (~v84(constB11, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB11) <=> (~((~v84(constB11, bitIndex2)) | v84(constB11, bitIndex1) | (~v84(constB11, bitIndex0))))))),
% 8.31/5.88 inference(transitivity,[status(thm)],[9261, 9259])).
% 8.31/5.88 tff(9263,plain,
% 8.31/5.88 ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB11) <=> (~(v84(constB11, bitIndex1) | (~v84(constB11, bitIndex0)) | (~v84(constB11, bitIndex2)))))),
% 8.31/5.88 inference(quant_inst,[status(thm)],[])).
% 8.31/5.88 tff(9264,plain,
% 8.31/5.88 ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB11) <=> (~((~v84(constB11, bitIndex2)) | v84(constB11, bitIndex1) | (~v84(constB11, bitIndex0)))))),
% 8.31/5.88 inference(modus_ponens,[status(thm)],[9263, 9262])).
% 8.31/5.88 tff(9265,plain,
% 8.31/5.88 (v118(constB11) <=> (~((~v84(constB11, bitIndex2)) | v84(constB11, bitIndex1) | (~v84(constB11, bitIndex0))))),
% 8.31/5.88 inference(unit_resolution,[status(thm)],[9264, 960])).
% 8.31/5.88 tff(9266,plain,
% 8.31/5.88 (nextState(constB10, constB11) <=> nextState(constB10, constB11)),
% 8.31/5.88 inference(rewrite,[status(thm)],[])).
% 8.31/5.88 tff(9267,axiom,(nextState(constB10, constB11)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_10')).
% 8.31/5.88 tff(9268,plain,
% 8.31/5.88 (nextState(constB10, constB11)),
% 8.31/5.88 inference(modus_ponens,[status(thm)],[9267, 9266])).
% 8.31/5.88 tff(9269,plain,
% 8.31/5.88 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB10, constB11)) | (v94(constB11) <=> (~((~v104(constB11)) | (~v95(constB11))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB10, constB11)) | (v94(constB11) <=> (~((~v104(constB11)) | (~v95(constB11))))))),
% 8.31/5.88 inference(rewrite,[status(thm)],[])).
% 8.31/5.88 tff(9270,plain,
% 8.31/5.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB10, constB11)) | (v94(constB11) <=> (~((~v104(constB11)) | (~v95(constB11))))))),
% 8.31/5.88 inference(quant_inst,[status(thm)],[])).
% 8.31/5.88 tff(9271,plain,
% 8.31/5.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB10, constB11)) | (v94(constB11) <=> (~((~v104(constB11)) | (~v95(constB11)))))),
% 8.31/5.88 inference(modus_ponens,[status(thm)],[9270, 9269])).
% 8.31/5.88 tff(9272,plain,
% 8.31/5.88 (v94(constB11) <=> (~((~v104(constB11)) | (~v95(constB11))))),
% 8.31/5.88 inference(unit_resolution,[status(thm)],[9271, 9268, 775])).
% 8.31/5.88 tff(9273,plain,
% 8.31/5.88 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB10, constB11)) | (v95(constB11) <=> (~((~v1(constB11)) | (~v96(constB11))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB10, constB11)) | (v95(constB11) <=> (~((~v1(constB11)) | (~v96(constB11))))))),
% 8.31/5.88 inference(rewrite,[status(thm)],[])).
% 8.31/5.88 tff(9274,plain,
% 8.31/5.88 (((~nextState(constB10, constB11)) | (v95(constB11) <=> (~((~v96(constB11)) | (~v1(constB11)))))) <=> ((~nextState(constB10, constB11)) | (v95(constB11) <=> (~((~v1(constB11)) | (~v96(constB11))))))),
% 8.31/5.88 inference(rewrite,[status(thm)],[])).
% 8.31/5.88 tff(9275,plain,
% 8.31/5.88 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB10, constB11)) | (v95(constB11) <=> (~((~v96(constB11)) | (~v1(constB11))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB10, constB11)) | (v95(constB11) <=> (~((~v1(constB11)) | (~v96(constB11)))))))),
% 8.31/5.88 inference(monotonicity,[status(thm)],[9274])).
% 8.31/5.88 tff(9276,plain,
% 8.31/5.88 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB10, constB11)) | (v95(constB11) <=> (~((~v96(constB11)) | (~v1(constB11))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB10, constB11)) | (v95(constB11) <=> (~((~v1(constB11)) | (~v96(constB11))))))),
% 8.31/5.88 inference(transitivity,[status(thm)],[9275, 9273])).
% 8.31/5.88 tff(9277,plain,
% 8.31/5.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB10, constB11)) | (v95(constB11) <=> (~((~v96(constB11)) | (~v1(constB11))))))),
% 8.31/5.88 inference(quant_inst,[status(thm)],[])).
% 8.31/5.88 tff(9278,plain,
% 8.31/5.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB10, constB11)) | (v95(constB11) <=> (~((~v1(constB11)) | (~v96(constB11)))))),
% 8.31/5.88 inference(modus_ponens,[status(thm)],[9277, 9276])).
% 8.31/5.88 tff(9279,plain,
% 8.31/5.88 (v95(constB11) <=> (~((~v1(constB11)) | (~v96(constB11))))),
% 8.31/5.88 inference(unit_resolution,[status(thm)],[9278, 9268, 795])).
% 8.31/5.88 tff(9280,plain,
% 8.31/5.88 (((~v1(constB11)) | (~v96(constB11))) | v1(constB11)),
% 8.31/5.88 inference(tautology,[status(thm)],[])).
% 8.31/5.88 tff(9281,plain,
% 8.31/5.88 ((~v1(constB11)) | (~v96(constB11))),
% 8.31/5.88 inference(unit_resolution,[status(thm)],[9280, 9233])).
% 8.31/5.88 tff(9282,plain,
% 8.31/5.88 ((~(v95(constB11) <=> (~((~v1(constB11)) | (~v96(constB11)))))) | (~v95(constB11)) | (~((~v1(constB11)) | (~v96(constB11))))),
% 8.31/5.88 inference(tautology,[status(thm)],[])).
% 8.31/5.88 tff(9283,plain,
% 8.31/5.88 ((~(v95(constB11) <=> (~((~v1(constB11)) | (~v96(constB11)))))) | (~v95(constB11))),
% 8.31/5.88 inference(unit_resolution,[status(thm)],[9282, 9281])).
% 8.31/5.88 tff(9284,plain,
% 8.31/5.88 (~v95(constB11)),
% 8.31/5.88 inference(unit_resolution,[status(thm)],[9283, 9279])).
% 8.31/5.88 tff(9285,plain,
% 8.31/5.88 (((~v104(constB11)) | (~v95(constB11))) | v95(constB11)),
% 8.31/5.88 inference(tautology,[status(thm)],[])).
% 8.31/5.88 tff(9286,plain,
% 8.31/5.88 ((~v104(constB11)) | (~v95(constB11))),
% 8.31/5.88 inference(unit_resolution,[status(thm)],[9285, 9284])).
% 8.31/5.88 tff(9287,plain,
% 8.31/5.88 ((~(v94(constB11) <=> (~((~v104(constB11)) | (~v95(constB11)))))) | (~v94(constB11)) | (~((~v104(constB11)) | (~v95(constB11))))),
% 8.31/5.88 inference(tautology,[status(thm)],[])).
% 8.31/5.88 tff(9288,plain,
% 8.31/5.88 (~v94(constB11)),
% 8.31/5.88 inference(unit_resolution,[status(thm)],[9287, 9286, 9272])).
% 8.31/5.88 tff(9289,plain,
% 8.31/5.88 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB11) | (~nextState(constB10, constB11)) | ![B: $i] : ((~less_3(B)) | (v84(constB11, B) <=> v84(constB10, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB11) | (~nextState(constB10, constB11)) | ![B: $i] : ((~less_3(B)) | (v84(constB11, B) <=> v84(constB10, B))))),
% 8.31/5.88 inference(rewrite,[status(thm)],[])).
% 8.31/5.88 tff(9290,plain,
% 8.31/5.88 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB11) | (~nextState(constB10, constB11)) | ![B: $i] : ((~less_3(B)) | (v84(constB11, B) <=> v84(constB10, B))))),
% 8.31/5.88 inference(quant_inst,[status(thm)],[])).
% 8.31/5.88 tff(9291,plain,
% 8.31/5.88 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB11) | (~nextState(constB10, constB11)) | ![B: $i] : ((~less_3(B)) | (v84(constB11, B) <=> v84(constB10, B)))),
% 8.31/5.88 inference(modus_ponens,[status(thm)],[9290, 9289])).
% 8.31/5.88 tff(9292,plain,
% 8.31/5.88 (v94(constB11) | ![B: $i] : ((~less_3(B)) | (v84(constB11, B) <=> v84(constB10, B)))),
% 8.31/5.88 inference(unit_resolution,[status(thm)],[9291, 9268, 824])).
% 8.31/5.88 tff(9293,plain,
% 8.31/5.88 (![B: $i] : ((~less_3(B)) | (v84(constB11, B) <=> v84(constB10, B)))),
% 8.31/5.88 inference(unit_resolution,[status(thm)],[9292, 9288])).
% 8.31/5.88 tff(9294,plain,
% 8.31/5.88 (((~![B: $i] : ((~less_3(B)) | (v84(constB11, B) <=> v84(constB10, B)))) | ((~less_3(bitIndex2)) | (v84(constB11, bitIndex2) <=> v84(constB10, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB11, B) <=> v84(constB10, B)))) | (~less_3(bitIndex2)) | (v84(constB11, bitIndex2) <=> v84(constB10, bitIndex2)))),
% 8.31/5.88 inference(rewrite,[status(thm)],[])).
% 8.31/5.88 tff(9295,plain,
% 8.31/5.88 ((~![B: $i] : ((~less_3(B)) | (v84(constB11, B) <=> v84(constB10, B)))) | ((~less_3(bitIndex2)) | (v84(constB11, bitIndex2) <=> v84(constB10, bitIndex2)))),
% 8.31/5.88 inference(quant_inst,[status(thm)],[])).
% 8.31/5.88 tff(9296,plain,
% 8.31/5.88 ((~![B: $i] : ((~less_3(B)) | (v84(constB11, B) <=> v84(constB10, B)))) | (~less_3(bitIndex2)) | (v84(constB11, bitIndex2) <=> v84(constB10, bitIndex2))),
% 8.31/5.88 inference(modus_ponens,[status(thm)],[9295, 9294])).
% 8.31/5.88 tff(9297,plain,
% 8.31/5.88 (v84(constB11, bitIndex2) <=> v84(constB10, bitIndex2)),
% 8.31/5.88 inference(unit_resolution,[status(thm)],[9296, 832, 9293])).
% 8.31/5.88 tff(9298,plain,
% 8.31/5.88 (nextState(constB9, constB10) <=> nextState(constB9, constB10)),
% 8.31/5.88 inference(rewrite,[status(thm)],[])).
% 8.31/5.88 tff(9299,axiom,(nextState(constB9, constB10)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_9')).
% 8.31/5.88 tff(9300,plain,
% 8.31/5.88 (nextState(constB9, constB10)),
% 8.31/5.88 inference(modus_ponens,[status(thm)],[9299, 9298])).
% 8.31/5.88 tff(9301,plain,
% 8.31/5.88 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB9, constB10)) | (v94(constB10) <=> (~((~v104(constB10)) | (~v95(constB10))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB9, constB10)) | (v94(constB10) <=> (~((~v104(constB10)) | (~v95(constB10))))))),
% 8.31/5.88 inference(rewrite,[status(thm)],[])).
% 8.31/5.88 tff(9302,plain,
% 8.31/5.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB9, constB10)) | (v94(constB10) <=> (~((~v104(constB10)) | (~v95(constB10))))))),
% 8.31/5.88 inference(quant_inst,[status(thm)],[])).
% 8.31/5.88 tff(9303,plain,
% 8.31/5.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB9, constB10)) | (v94(constB10) <=> (~((~v104(constB10)) | (~v95(constB10)))))),
% 8.31/5.88 inference(modus_ponens,[status(thm)],[9302, 9301])).
% 8.31/5.88 tff(9304,plain,
% 8.31/5.88 (v94(constB10) <=> (~((~v104(constB10)) | (~v95(constB10))))),
% 8.31/5.88 inference(unit_resolution,[status(thm)],[9303, 9300, 775])).
% 8.31/5.88 tff(9305,plain,
% 8.31/5.88 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB9, constB10)) | (v95(constB10) <=> (~((~v1(constB10)) | (~v96(constB10))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB9, constB10)) | (v95(constB10) <=> (~((~v1(constB10)) | (~v96(constB10))))))),
% 8.31/5.88 inference(rewrite,[status(thm)],[])).
% 8.31/5.88 tff(9306,plain,
% 8.31/5.88 (((~nextState(constB9, constB10)) | (v95(constB10) <=> (~((~v96(constB10)) | (~v1(constB10)))))) <=> ((~nextState(constB9, constB10)) | (v95(constB10) <=> (~((~v1(constB10)) | (~v96(constB10))))))),
% 8.31/5.88 inference(rewrite,[status(thm)],[])).
% 8.31/5.88 tff(9307,plain,
% 8.31/5.88 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB9, constB10)) | (v95(constB10) <=> (~((~v96(constB10)) | (~v1(constB10))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB9, constB10)) | (v95(constB10) <=> (~((~v1(constB10)) | (~v96(constB10)))))))),
% 8.31/5.88 inference(monotonicity,[status(thm)],[9306])).
% 8.31/5.88 tff(9308,plain,
% 8.31/5.88 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB9, constB10)) | (v95(constB10) <=> (~((~v96(constB10)) | (~v1(constB10))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB9, constB10)) | (v95(constB10) <=> (~((~v1(constB10)) | (~v96(constB10))))))),
% 8.31/5.88 inference(transitivity,[status(thm)],[9307, 9305])).
% 8.31/5.88 tff(9309,plain,
% 8.31/5.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB9, constB10)) | (v95(constB10) <=> (~((~v96(constB10)) | (~v1(constB10))))))),
% 8.31/5.88 inference(quant_inst,[status(thm)],[])).
% 8.31/5.88 tff(9310,plain,
% 8.31/5.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB9, constB10)) | (v95(constB10) <=> (~((~v1(constB10)) | (~v96(constB10)))))),
% 8.31/5.88 inference(modus_ponens,[status(thm)],[9309, 9308])).
% 8.31/5.88 tff(9311,plain,
% 8.31/5.88 (v95(constB10) <=> (~((~v1(constB10)) | (~v96(constB10))))),
% 8.31/5.88 inference(unit_resolution,[status(thm)],[9310, 9300, 795])).
% 8.31/5.88 tff(9312,plain,
% 8.31/5.88 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB9, constB10)) | ((~v96(constB10)) <=> v98(constB10)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB9, constB10)) | ((~v96(constB10)) <=> v98(constB10)))),
% 8.31/5.88 inference(rewrite,[status(thm)],[])).
% 8.31/5.88 tff(9313,plain,
% 8.31/5.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB9, constB10)) | ((~v96(constB10)) <=> v98(constB10)))),
% 8.31/5.88 inference(quant_inst,[status(thm)],[])).
% 8.31/5.88 tff(9314,plain,
% 8.31/5.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB9, constB10)) | ((~v96(constB10)) <=> v98(constB10))),
% 8.31/5.88 inference(modus_ponens,[status(thm)],[9313, 9312])).
% 8.31/5.88 tff(9315,plain,
% 8.31/5.88 ((~v96(constB10)) <=> v98(constB10)),
% 8.31/5.88 inference(unit_resolution,[status(thm)],[9314, 9300, 860])).
% 8.31/5.88 tff(9316,plain,
% 8.31/5.88 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB9, constB10)) | (v98(constB10) <=> v1(constB9)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB9, constB10)) | (v98(constB10) <=> v1(constB9)))),
% 8.31/5.88 inference(rewrite,[status(thm)],[])).
% 8.31/5.88 tff(9317,plain,
% 8.31/5.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB9, constB10)) | (v98(constB10) <=> v1(constB9)))),
% 8.31/5.88 inference(quant_inst,[status(thm)],[])).
% 8.31/5.88 tff(9318,plain,
% 8.31/5.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB9, constB10)) | (v98(constB10) <=> v1(constB9))),
% 8.31/5.88 inference(modus_ponens,[status(thm)],[9317, 9316])).
% 8.31/5.88 tff(9319,plain,
% 8.31/5.88 (v98(constB10) <=> v1(constB9)),
% 8.31/5.88 inference(unit_resolution,[status(thm)],[9318, 9300, 874])).
% 8.31/5.88 tff(9320,plain,
% 8.31/5.88 ((~v1(constB9)) <=> (~v1(constB9))),
% 8.31/5.88 inference(rewrite,[status(thm)],[])).
% 8.31/5.88 tff(9321,axiom,(~v1(constB9)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_9')).
% 8.31/5.88 tff(9322,plain,
% 8.31/5.88 (~v1(constB9)),
% 8.31/5.88 inference(modus_ponens,[status(thm)],[9321, 9320])).
% 8.31/5.88 tff(9323,plain,
% 8.31/5.88 ((~(v98(constB10) <=> v1(constB9))) | (~v98(constB10)) | v1(constB9)),
% 8.31/5.88 inference(tautology,[status(thm)],[])).
% 8.31/5.88 tff(9324,plain,
% 8.31/5.88 ((~(v98(constB10) <=> v1(constB9))) | (~v98(constB10))),
% 8.31/5.88 inference(unit_resolution,[status(thm)],[9323, 9322])).
% 8.31/5.88 tff(9325,plain,
% 8.31/5.88 (~v98(constB10)),
% 8.31/5.88 inference(unit_resolution,[status(thm)],[9324, 9319])).
% 8.31/5.88 tff(9326,plain,
% 8.31/5.88 ((~((~v96(constB10)) <=> v98(constB10))) | v96(constB10) | v98(constB10)),
% 8.31/5.88 inference(tautology,[status(thm)],[])).
% 8.31/5.88 tff(9327,plain,
% 8.31/5.88 (v96(constB10)),
% 8.31/5.88 inference(unit_resolution,[status(thm)],[9326, 9325, 9315])).
% 8.31/5.88 tff(9328,plain,
% 8.31/5.88 (v1(constB10) <=> v1(constB10)),
% 8.31/5.88 inference(rewrite,[status(thm)],[])).
% 8.31/5.88 tff(9329,axiom,(v1(constB10)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_10')).
% 8.31/5.88 tff(9330,plain,
% 8.31/5.88 (v1(constB10)),
% 8.31/5.88 inference(modus_ponens,[status(thm)],[9329, 9328])).
% 8.31/5.88 tff(9331,plain,
% 8.31/5.88 ((~((~v1(constB10)) | (~v96(constB10)))) | (~v1(constB10)) | (~v96(constB10))),
% 8.31/5.88 inference(tautology,[status(thm)],[])).
% 8.31/5.88 tff(9332,plain,
% 8.31/5.88 ((~((~v1(constB10)) | (~v96(constB10)))) | (~v96(constB10))),
% 8.31/5.88 inference(unit_resolution,[status(thm)],[9331, 9330])).
% 8.31/5.88 tff(9333,plain,
% 8.31/5.88 (~((~v1(constB10)) | (~v96(constB10)))),
% 8.31/5.88 inference(unit_resolution,[status(thm)],[9332, 9327])).
% 8.31/5.88 tff(9334,plain,
% 8.31/5.88 ((~(v95(constB10) <=> (~((~v1(constB10)) | (~v96(constB10)))))) | v95(constB10) | ((~v1(constB10)) | (~v96(constB10)))),
% 8.31/5.88 inference(tautology,[status(thm)],[])).
% 8.31/5.88 tff(9335,plain,
% 8.31/5.88 (v95(constB10)),
% 8.31/5.88 inference(unit_resolution,[status(thm)],[9334, 9333, 9311])).
% 8.31/5.88 tff(9336,plain,
% 8.31/5.88 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB9, constB10)) | (v104(constB10) <=> v102(constB9)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB9, constB10)) | (v104(constB10) <=> v102(constB9)))),
% 8.31/5.88 inference(rewrite,[status(thm)],[])).
% 8.31/5.88 tff(9337,plain,
% 8.31/5.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB9, constB10)) | (v104(constB10) <=> v102(constB9)))),
% 8.31/5.88 inference(quant_inst,[status(thm)],[])).
% 8.31/5.88 tff(9338,plain,
% 8.31/5.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB9, constB10)) | (v104(constB10) <=> v102(constB9))),
% 8.31/5.89 inference(modus_ponens,[status(thm)],[9337, 9336])).
% 8.31/5.89 tff(9339,plain,
% 8.31/5.89 (v104(constB10) <=> v102(constB9)),
% 8.31/5.89 inference(unit_resolution,[status(thm)],[9338, 9300, 904])).
% 8.31/5.89 tff(9340,plain,
% 8.31/5.89 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB9) <=> (v105(constB9) | v106(constB9)))),
% 8.31/5.89 inference(quant_inst,[status(thm)],[])).
% 8.31/5.89 tff(9341,plain,
% 8.31/5.89 (v102(constB9) <=> (v105(constB9) | v106(constB9))),
% 8.31/5.89 inference(unit_resolution,[status(thm)],[9340, 915])).
% 8.31/5.89 tff(9342,plain,
% 8.31/5.89 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB9) <=> (~((~v107(constB9)) | (~v120(constB9)))))),
% 8.31/5.89 inference(quant_inst,[status(thm)],[])).
% 8.31/5.89 tff(9343,plain,
% 8.31/5.89 (v106(constB9) <=> (~((~v107(constB9)) | (~v120(constB9))))),
% 8.31/5.89 inference(unit_resolution,[status(thm)],[9342, 927])).
% 8.31/5.89 tff(9344,plain,
% 8.31/5.89 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB9) <=> (v108(constB9) | v119(constB9)))),
% 8.31/5.89 inference(quant_inst,[status(thm)],[])).
% 8.31/5.89 tff(9345,plain,
% 8.31/5.89 (v107(constB9) <=> (v108(constB9) | v119(constB9))),
% 8.31/5.89 inference(unit_resolution,[status(thm)],[9344, 936])).
% 8.31/5.89 tff(9346,plain,
% 8.31/5.89 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB9) <=> (v109(constB9) | v118(constB9)))),
% 8.31/5.89 inference(quant_inst,[status(thm)],[])).
% 8.31/5.89 tff(9347,plain,
% 8.31/5.89 (v108(constB9) <=> (v109(constB9) | v118(constB9))),
% 8.31/5.89 inference(unit_resolution,[status(thm)],[9346, 945])).
% 8.31/5.89 tff(9348,plain,
% 8.31/5.89 ((~![VarCurr: $i] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB9) <=> (v110(constB9) | v117(constB9)))),
% 8.31/5.89 inference(quant_inst,[status(thm)],[])).
% 8.31/5.89 tff(9349,plain,
% 8.31/5.89 (v109(constB9) <=> (v110(constB9) | v117(constB9))),
% 8.31/5.89 inference(unit_resolution,[status(thm)],[9348, 1056])).
% 8.31/5.89 tff(9350,plain,
% 8.31/5.89 (((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB9) <=> (~((~v84(constB9, bitIndex2)) | v84(constB9, bitIndex1) | v84(constB9, bitIndex0))))) <=> ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB9) <=> (~((~v84(constB9, bitIndex2)) | v84(constB9, bitIndex1) | v84(constB9, bitIndex0)))))),
% 8.31/5.89 inference(rewrite,[status(thm)],[])).
% 8.31/5.89 tff(9351,plain,
% 8.31/5.89 ((v117(constB9) <=> (~(v84(constB9, bitIndex0) | v84(constB9, bitIndex1) | (~v84(constB9, bitIndex2))))) <=> (v117(constB9) <=> (~((~v84(constB9, bitIndex2)) | v84(constB9, bitIndex1) | v84(constB9, bitIndex0))))),
% 8.31/5.89 inference(rewrite,[status(thm)],[])).
% 8.31/5.89 tff(9352,plain,
% 8.31/5.89 (((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB9) <=> (~(v84(constB9, bitIndex0) | v84(constB9, bitIndex1) | (~v84(constB9, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB9) <=> (~((~v84(constB9, bitIndex2)) | v84(constB9, bitIndex1) | v84(constB9, bitIndex0)))))),
% 8.31/5.89 inference(monotonicity,[status(thm)],[9351])).
% 8.31/5.89 tff(9353,plain,
% 8.31/5.89 (((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB9) <=> (~(v84(constB9, bitIndex0) | v84(constB9, bitIndex1) | (~v84(constB9, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB9) <=> (~((~v84(constB9, bitIndex2)) | v84(constB9, bitIndex1) | v84(constB9, bitIndex0)))))),
% 8.31/5.89 inference(transitivity,[status(thm)],[9352, 9350])).
% 8.31/5.89 tff(9354,plain,
% 8.31/5.89 ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB9) <=> (~(v84(constB9, bitIndex0) | v84(constB9, bitIndex1) | (~v84(constB9, bitIndex2)))))),
% 8.31/5.89 inference(quant_inst,[status(thm)],[])).
% 8.31/5.89 tff(9355,plain,
% 8.31/5.89 ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB9) <=> (~((~v84(constB9, bitIndex2)) | v84(constB9, bitIndex1) | v84(constB9, bitIndex0))))),
% 8.31/5.89 inference(modus_ponens,[status(thm)],[9354, 9353])).
% 8.31/5.89 tff(9356,plain,
% 8.31/5.89 (v117(constB9) <=> (~((~v84(constB9, bitIndex2)) | v84(constB9, bitIndex1) | v84(constB9, bitIndex0)))),
% 8.31/5.89 inference(unit_resolution,[status(thm)],[9355, 1071])).
% 8.31/5.89 tff(9357,plain,
% 8.31/5.89 (nextState(constB8, constB9) <=> nextState(constB8, constB9)),
% 8.31/5.89 inference(rewrite,[status(thm)],[])).
% 8.31/5.89 tff(9358,axiom,(nextState(constB8, constB9)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_8')).
% 8.31/5.89 tff(9359,plain,
% 8.31/5.89 (nextState(constB8, constB9)),
% 8.31/5.89 inference(modus_ponens,[status(thm)],[9358, 9357])).
% 8.31/5.89 tff(9360,plain,
% 8.31/5.89 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB8, constB9)) | (v94(constB9) <=> (~((~v104(constB9)) | (~v95(constB9))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB8, constB9)) | (v94(constB9) <=> (~((~v104(constB9)) | (~v95(constB9))))))),
% 8.31/5.89 inference(rewrite,[status(thm)],[])).
% 8.31/5.89 tff(9361,plain,
% 8.31/5.89 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB8, constB9)) | (v94(constB9) <=> (~((~v104(constB9)) | (~v95(constB9))))))),
% 8.31/5.89 inference(quant_inst,[status(thm)],[])).
% 8.31/5.89 tff(9362,plain,
% 8.31/5.89 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB8, constB9)) | (v94(constB9) <=> (~((~v104(constB9)) | (~v95(constB9)))))),
% 8.31/5.89 inference(modus_ponens,[status(thm)],[9361, 9360])).
% 8.31/5.89 tff(9363,plain,
% 8.31/5.89 (v94(constB9) <=> (~((~v104(constB9)) | (~v95(constB9))))),
% 8.31/5.89 inference(unit_resolution,[status(thm)],[9362, 9359, 775])).
% 8.31/5.89 tff(9364,plain,
% 8.31/5.89 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB8, constB9)) | (v95(constB9) <=> (~((~v1(constB9)) | (~v96(constB9))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB8, constB9)) | (v95(constB9) <=> (~((~v1(constB9)) | (~v96(constB9))))))),
% 8.31/5.89 inference(rewrite,[status(thm)],[])).
% 8.31/5.89 tff(9365,plain,
% 8.31/5.89 (((~nextState(constB8, constB9)) | (v95(constB9) <=> (~((~v96(constB9)) | (~v1(constB9)))))) <=> ((~nextState(constB8, constB9)) | (v95(constB9) <=> (~((~v1(constB9)) | (~v96(constB9))))))),
% 8.31/5.89 inference(rewrite,[status(thm)],[])).
% 8.31/5.89 tff(9366,plain,
% 8.31/5.89 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB8, constB9)) | (v95(constB9) <=> (~((~v96(constB9)) | (~v1(constB9))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB8, constB9)) | (v95(constB9) <=> (~((~v1(constB9)) | (~v96(constB9)))))))),
% 8.31/5.89 inference(monotonicity,[status(thm)],[9365])).
% 8.31/5.89 tff(9367,plain,
% 8.31/5.89 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB8, constB9)) | (v95(constB9) <=> (~((~v96(constB9)) | (~v1(constB9))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB8, constB9)) | (v95(constB9) <=> (~((~v1(constB9)) | (~v96(constB9))))))),
% 8.31/5.89 inference(transitivity,[status(thm)],[9366, 9364])).
% 8.31/5.89 tff(9368,plain,
% 8.31/5.89 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB8, constB9)) | (v95(constB9) <=> (~((~v96(constB9)) | (~v1(constB9))))))),
% 8.31/5.89 inference(quant_inst,[status(thm)],[])).
% 8.31/5.89 tff(9369,plain,
% 8.31/5.89 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB8, constB9)) | (v95(constB9) <=> (~((~v1(constB9)) | (~v96(constB9)))))),
% 8.31/5.89 inference(modus_ponens,[status(thm)],[9368, 9367])).
% 8.31/5.89 tff(9370,plain,
% 8.31/5.89 (v95(constB9) <=> (~((~v1(constB9)) | (~v96(constB9))))),
% 8.31/5.89 inference(unit_resolution,[status(thm)],[9369, 9359, 795])).
% 8.31/5.89 tff(9371,plain,
% 8.31/5.89 (((~v1(constB9)) | (~v96(constB9))) | v1(constB9)),
% 8.31/5.89 inference(tautology,[status(thm)],[])).
% 8.31/5.89 tff(9372,plain,
% 8.31/5.89 ((~v1(constB9)) | (~v96(constB9))),
% 8.31/5.89 inference(unit_resolution,[status(thm)],[9371, 9322])).
% 8.31/5.89 tff(9373,plain,
% 8.31/5.89 ((~(v95(constB9) <=> (~((~v1(constB9)) | (~v96(constB9)))))) | (~v95(constB9)) | (~((~v1(constB9)) | (~v96(constB9))))),
% 8.31/5.89 inference(tautology,[status(thm)],[])).
% 8.31/5.89 tff(9374,plain,
% 8.31/5.89 ((~(v95(constB9) <=> (~((~v1(constB9)) | (~v96(constB9)))))) | (~v95(constB9))),
% 8.31/5.89 inference(unit_resolution,[status(thm)],[9373, 9372])).
% 8.31/5.89 tff(9375,plain,
% 8.31/5.89 (~v95(constB9)),
% 8.31/5.89 inference(unit_resolution,[status(thm)],[9374, 9370])).
% 8.31/5.89 tff(9376,plain,
% 8.31/5.89 (((~v104(constB9)) | (~v95(constB9))) | v95(constB9)),
% 8.31/5.89 inference(tautology,[status(thm)],[])).
% 8.31/5.89 tff(9377,plain,
% 8.31/5.89 ((~v104(constB9)) | (~v95(constB9))),
% 8.31/5.89 inference(unit_resolution,[status(thm)],[9376, 9375])).
% 8.31/5.89 tff(9378,plain,
% 8.31/5.89 ((~(v94(constB9) <=> (~((~v104(constB9)) | (~v95(constB9)))))) | (~v94(constB9)) | (~((~v104(constB9)) | (~v95(constB9))))),
% 8.31/5.89 inference(tautology,[status(thm)],[])).
% 8.31/5.89 tff(9379,plain,
% 8.31/5.89 (~v94(constB9)),
% 8.31/5.89 inference(unit_resolution,[status(thm)],[9378, 9377, 9363])).
% 8.31/5.89 tff(9380,plain,
% 8.31/5.89 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB9) | (~nextState(constB8, constB9)) | ![B: $i] : ((~less_3(B)) | (v84(constB9, B) <=> v84(constB8, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB9) | (~nextState(constB8, constB9)) | ![B: $i] : ((~less_3(B)) | (v84(constB9, B) <=> v84(constB8, B))))),
% 8.31/5.89 inference(rewrite,[status(thm)],[])).
% 8.31/5.89 tff(9381,plain,
% 8.31/5.89 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB9) | (~nextState(constB8, constB9)) | ![B: $i] : ((~less_3(B)) | (v84(constB9, B) <=> v84(constB8, B))))),
% 8.31/5.89 inference(quant_inst,[status(thm)],[])).
% 8.31/5.89 tff(9382,plain,
% 8.31/5.89 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB9) | (~nextState(constB8, constB9)) | ![B: $i] : ((~less_3(B)) | (v84(constB9, B) <=> v84(constB8, B)))),
% 8.31/5.89 inference(modus_ponens,[status(thm)],[9381, 9380])).
% 8.31/5.89 tff(9383,plain,
% 8.31/5.89 (v94(constB9) | ![B: $i] : ((~less_3(B)) | (v84(constB9, B) <=> v84(constB8, B)))),
% 8.31/5.89 inference(unit_resolution,[status(thm)],[9382, 9359, 824])).
% 8.31/5.89 tff(9384,plain,
% 8.31/5.89 (![B: $i] : ((~less_3(B)) | (v84(constB9, B) <=> v84(constB8, B)))),
% 8.31/5.89 inference(unit_resolution,[status(thm)],[9383, 9379])).
% 8.31/5.89 tff(9385,plain,
% 8.31/5.89 (((~![B: $i] : ((~less_3(B)) | (v84(constB9, B) <=> v84(constB8, B)))) | ((~less_3(bitIndex2)) | (v84(constB9, bitIndex2) <=> v84(constB8, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB9, B) <=> v84(constB8, B)))) | (~less_3(bitIndex2)) | (v84(constB9, bitIndex2) <=> v84(constB8, bitIndex2)))),
% 8.31/5.89 inference(rewrite,[status(thm)],[])).
% 8.31/5.89 tff(9386,plain,
% 8.31/5.89 ((~![B: $i] : ((~less_3(B)) | (v84(constB9, B) <=> v84(constB8, B)))) | ((~less_3(bitIndex2)) | (v84(constB9, bitIndex2) <=> v84(constB8, bitIndex2)))),
% 8.31/5.89 inference(quant_inst,[status(thm)],[])).
% 8.31/5.89 tff(9387,plain,
% 8.31/5.89 ((~![B: $i] : ((~less_3(B)) | (v84(constB9, B) <=> v84(constB8, B)))) | (~less_3(bitIndex2)) | (v84(constB9, bitIndex2) <=> v84(constB8, bitIndex2))),
% 8.31/5.89 inference(modus_ponens,[status(thm)],[9386, 9385])).
% 8.31/5.89 tff(9388,plain,
% 8.31/5.89 (v84(constB9, bitIndex2) <=> v84(constB8, bitIndex2)),
% 8.31/5.89 inference(unit_resolution,[status(thm)],[9387, 832, 9384])).
% 8.31/5.89 tff(9389,plain,
% 8.31/5.89 (nextState(constB7, constB8) <=> nextState(constB7, constB8)),
% 8.31/5.89 inference(rewrite,[status(thm)],[])).
% 8.31/5.89 tff(9390,axiom,(nextState(constB7, constB8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_7')).
% 8.31/5.89 tff(9391,plain,
% 8.31/5.89 (nextState(constB7, constB8)),
% 8.31/5.89 inference(modus_ponens,[status(thm)],[9390, 9389])).
% 8.31/5.89 tff(9392,plain,
% 8.31/5.89 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB7, constB8)) | (v94(constB8) <=> (~((~v104(constB8)) | (~v95(constB8))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB7, constB8)) | (v94(constB8) <=> (~((~v104(constB8)) | (~v95(constB8))))))),
% 8.31/5.89 inference(rewrite,[status(thm)],[])).
% 8.31/5.89 tff(9393,plain,
% 8.31/5.89 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB7, constB8)) | (v94(constB8) <=> (~((~v104(constB8)) | (~v95(constB8))))))),
% 8.31/5.89 inference(quant_inst,[status(thm)],[])).
% 8.31/5.89 tff(9394,plain,
% 8.31/5.89 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB7, constB8)) | (v94(constB8) <=> (~((~v104(constB8)) | (~v95(constB8)))))),
% 8.31/5.89 inference(modus_ponens,[status(thm)],[9393, 9392])).
% 8.31/5.89 tff(9395,plain,
% 8.31/5.89 (v94(constB8) <=> (~((~v104(constB8)) | (~v95(constB8))))),
% 8.31/5.89 inference(unit_resolution,[status(thm)],[9394, 9391, 775])).
% 8.31/5.89 tff(9396,plain,
% 8.31/5.89 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB7, constB8)) | (v95(constB8) <=> (~((~v1(constB8)) | (~v96(constB8))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB7, constB8)) | (v95(constB8) <=> (~((~v1(constB8)) | (~v96(constB8))))))),
% 8.31/5.89 inference(rewrite,[status(thm)],[])).
% 8.31/5.89 tff(9397,plain,
% 8.31/5.89 (((~nextState(constB7, constB8)) | (v95(constB8) <=> (~((~v96(constB8)) | (~v1(constB8)))))) <=> ((~nextState(constB7, constB8)) | (v95(constB8) <=> (~((~v1(constB8)) | (~v96(constB8))))))),
% 8.31/5.89 inference(rewrite,[status(thm)],[])).
% 8.31/5.89 tff(9398,plain,
% 8.31/5.89 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB7, constB8)) | (v95(constB8) <=> (~((~v96(constB8)) | (~v1(constB8))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB7, constB8)) | (v95(constB8) <=> (~((~v1(constB8)) | (~v96(constB8)))))))),
% 8.31/5.89 inference(monotonicity,[status(thm)],[9397])).
% 8.31/5.89 tff(9399,plain,
% 8.31/5.89 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB7, constB8)) | (v95(constB8) <=> (~((~v96(constB8)) | (~v1(constB8))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB7, constB8)) | (v95(constB8) <=> (~((~v1(constB8)) | (~v96(constB8))))))),
% 8.31/5.89 inference(transitivity,[status(thm)],[9398, 9396])).
% 8.31/5.89 tff(9400,plain,
% 8.31/5.89 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB7, constB8)) | (v95(constB8) <=> (~((~v96(constB8)) | (~v1(constB8))))))),
% 8.31/5.89 inference(quant_inst,[status(thm)],[])).
% 8.31/5.89 tff(9401,plain,
% 8.31/5.89 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB7, constB8)) | (v95(constB8) <=> (~((~v1(constB8)) | (~v96(constB8)))))),
% 8.31/5.89 inference(modus_ponens,[status(thm)],[9400, 9399])).
% 8.31/5.89 tff(9402,plain,
% 8.31/5.89 (v95(constB8) <=> (~((~v1(constB8)) | (~v96(constB8))))),
% 8.31/5.89 inference(unit_resolution,[status(thm)],[9401, 9391, 795])).
% 8.31/5.89 tff(9403,plain,
% 8.31/5.89 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB7, constB8)) | ((~v96(constB8)) <=> v98(constB8)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB7, constB8)) | ((~v96(constB8)) <=> v98(constB8)))),
% 8.31/5.89 inference(rewrite,[status(thm)],[])).
% 8.31/5.89 tff(9404,plain,
% 8.31/5.89 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB7, constB8)) | ((~v96(constB8)) <=> v98(constB8)))),
% 8.31/5.89 inference(quant_inst,[status(thm)],[])).
% 8.31/5.89 tff(9405,plain,
% 8.31/5.89 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB7, constB8)) | ((~v96(constB8)) <=> v98(constB8))),
% 8.31/5.89 inference(modus_ponens,[status(thm)],[9404, 9403])).
% 8.31/5.89 tff(9406,plain,
% 8.31/5.89 ((~v96(constB8)) <=> v98(constB8)),
% 8.31/5.89 inference(unit_resolution,[status(thm)],[9405, 9391, 860])).
% 8.31/5.89 tff(9407,plain,
% 8.31/5.89 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB7, constB8)) | (v98(constB8) <=> v1(constB7)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB7, constB8)) | (v98(constB8) <=> v1(constB7)))),
% 8.31/5.89 inference(rewrite,[status(thm)],[])).
% 8.31/5.89 tff(9408,plain,
% 8.31/5.89 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB7, constB8)) | (v98(constB8) <=> v1(constB7)))),
% 8.31/5.89 inference(quant_inst,[status(thm)],[])).
% 8.31/5.89 tff(9409,plain,
% 8.31/5.89 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB7, constB8)) | (v98(constB8) <=> v1(constB7))),
% 8.31/5.89 inference(modus_ponens,[status(thm)],[9408, 9407])).
% 8.31/5.89 tff(9410,plain,
% 8.31/5.89 (v98(constB8) <=> v1(constB7)),
% 8.31/5.89 inference(unit_resolution,[status(thm)],[9409, 9391, 874])).
% 8.31/5.89 tff(9411,plain,
% 8.31/5.89 ((~v1(constB7)) <=> (~v1(constB7))),
% 8.31/5.89 inference(rewrite,[status(thm)],[])).
% 8.31/5.89 tff(9412,axiom,(~v1(constB7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_7')).
% 8.31/5.89 tff(9413,plain,
% 8.31/5.89 (~v1(constB7)),
% 8.31/5.89 inference(modus_ponens,[status(thm)],[9412, 9411])).
% 8.31/5.89 tff(9414,plain,
% 8.31/5.89 ((~(v98(constB8) <=> v1(constB7))) | (~v98(constB8)) | v1(constB7)),
% 8.31/5.89 inference(tautology,[status(thm)],[])).
% 8.31/5.89 tff(9415,plain,
% 8.31/5.89 ((~(v98(constB8) <=> v1(constB7))) | (~v98(constB8))),
% 8.31/5.89 inference(unit_resolution,[status(thm)],[9414, 9413])).
% 8.31/5.89 tff(9416,plain,
% 8.31/5.89 (~v98(constB8)),
% 8.31/5.89 inference(unit_resolution,[status(thm)],[9415, 9410])).
% 8.31/5.89 tff(9417,plain,
% 8.31/5.89 ((~((~v96(constB8)) <=> v98(constB8))) | v96(constB8) | v98(constB8)),
% 8.31/5.89 inference(tautology,[status(thm)],[])).
% 8.31/5.89 tff(9418,plain,
% 8.31/5.89 (v96(constB8)),
% 8.31/5.89 inference(unit_resolution,[status(thm)],[9417, 9416, 9406])).
% 8.31/5.89 tff(9419,plain,
% 8.31/5.89 (v1(constB8) <=> v1(constB8)),
% 8.31/5.89 inference(rewrite,[status(thm)],[])).
% 8.31/5.89 tff(9420,axiom,(v1(constB8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_8')).
% 8.31/5.89 tff(9421,plain,
% 8.31/5.89 (v1(constB8)),
% 8.31/5.89 inference(modus_ponens,[status(thm)],[9420, 9419])).
% 8.31/5.89 tff(9422,plain,
% 8.31/5.89 ((~((~v1(constB8)) | (~v96(constB8)))) | (~v1(constB8)) | (~v96(constB8))),
% 8.31/5.89 inference(tautology,[status(thm)],[])).
% 8.31/5.89 tff(9423,plain,
% 8.31/5.89 ((~((~v1(constB8)) | (~v96(constB8)))) | (~v96(constB8))),
% 8.31/5.89 inference(unit_resolution,[status(thm)],[9422, 9421])).
% 8.31/5.89 tff(9424,plain,
% 8.31/5.89 (~((~v1(constB8)) | (~v96(constB8)))),
% 8.31/5.89 inference(unit_resolution,[status(thm)],[9423, 9418])).
% 8.31/5.89 tff(9425,plain,
% 8.31/5.89 ((~(v95(constB8) <=> (~((~v1(constB8)) | (~v96(constB8)))))) | v95(constB8) | ((~v1(constB8)) | (~v96(constB8)))),
% 8.31/5.89 inference(tautology,[status(thm)],[])).
% 8.31/5.89 tff(9426,plain,
% 8.31/5.89 (v95(constB8)),
% 8.31/5.89 inference(unit_resolution,[status(thm)],[9425, 9424, 9402])).
% 8.31/5.89 tff(9427,plain,
% 8.31/5.89 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB7, constB8)) | (v104(constB8) <=> v102(constB7)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB7, constB8)) | (v104(constB8) <=> v102(constB7)))),
% 8.31/5.89 inference(rewrite,[status(thm)],[])).
% 8.31/5.89 tff(9428,plain,
% 8.31/5.89 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB7, constB8)) | (v104(constB8) <=> v102(constB7)))),
% 8.31/5.89 inference(quant_inst,[status(thm)],[])).
% 8.31/5.89 tff(9429,plain,
% 8.31/5.89 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB7, constB8)) | (v104(constB8) <=> v102(constB7))),
% 8.31/5.89 inference(modus_ponens,[status(thm)],[9428, 9427])).
% 8.31/5.89 tff(9430,plain,
% 8.31/5.89 (v104(constB8) <=> v102(constB7)),
% 8.31/5.89 inference(unit_resolution,[status(thm)],[9429, 9391, 904])).
% 8.31/5.89 tff(9431,plain,
% 8.31/5.89 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB7) <=> (v105(constB7) | v106(constB7)))),
% 8.31/5.89 inference(quant_inst,[status(thm)],[])).
% 8.31/5.89 tff(9432,plain,
% 8.31/5.89 (v102(constB7) <=> (v105(constB7) | v106(constB7))),
% 8.31/5.89 inference(unit_resolution,[status(thm)],[9431, 915])).
% 8.31/5.89 tff(9433,plain,
% 8.31/5.89 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB7) <=> (~((~v107(constB7)) | (~v120(constB7)))))),
% 8.31/5.89 inference(quant_inst,[status(thm)],[])).
% 8.31/5.89 tff(9434,plain,
% 8.31/5.89 (v106(constB7) <=> (~((~v107(constB7)) | (~v120(constB7))))),
% 8.31/5.89 inference(unit_resolution,[status(thm)],[9433, 927])).
% 8.31/5.89 tff(9435,plain,
% 8.31/5.89 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB7) <=> (v108(constB7) | v119(constB7)))),
% 8.31/5.89 inference(quant_inst,[status(thm)],[])).
% 8.31/5.89 tff(9436,plain,
% 8.31/5.89 (v107(constB7) <=> (v108(constB7) | v119(constB7))),
% 8.31/5.89 inference(unit_resolution,[status(thm)],[9435, 936])).
% 8.31/5.89 tff(9437,plain,
% 8.31/5.89 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB7) <=> (v109(constB7) | v118(constB7)))),
% 8.31/5.89 inference(quant_inst,[status(thm)],[])).
% 8.31/5.89 tff(9438,plain,
% 8.31/5.89 (v108(constB7) <=> (v109(constB7) | v118(constB7))),
% 8.31/5.89 inference(unit_resolution,[status(thm)],[9437, 945])).
% 8.31/5.89 tff(9439,plain,
% 8.31/5.89 ((~![VarCurr: $i] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB7) <=> (v110(constB7) | v117(constB7)))),
% 8.31/5.89 inference(quant_inst,[status(thm)],[])).
% 8.31/5.89 tff(9440,plain,
% 8.31/5.89 (v109(constB7) <=> (v110(constB7) | v117(constB7))),
% 8.31/5.89 inference(unit_resolution,[status(thm)],[9439, 1056])).
% 8.31/5.89 tff(9441,plain,
% 8.31/5.89 ((~![VarCurr: $i] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB7) <=> (v111(constB7) | v116(constB7)))),
% 8.31/5.89 inference(quant_inst,[status(thm)],[])).
% 8.31/5.89 tff(9442,plain,
% 8.31/5.89 (v110(constB7) <=> (v111(constB7) | v116(constB7))),
% 8.31/5.89 inference(unit_resolution,[status(thm)],[9441, 1169])).
% 8.31/5.89 tff(9443,plain,
% 8.31/5.89 ((~![VarCurr: $i] : (v116(VarCurr) <=> (~(v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex0)))))) | (v116(constB7) <=> (~(v84(constB7, bitIndex2) | (~v84(constB7, bitIndex1)) | (~v84(constB7, bitIndex0)))))),
% 8.31/5.89 inference(quant_inst,[status(thm)],[])).
% 8.31/5.89 tff(9444,plain,
% 8.31/5.89 (v116(constB7) <=> (~(v84(constB7, bitIndex2) | (~v84(constB7, bitIndex1)) | (~v84(constB7, bitIndex0))))),
% 8.31/5.89 inference(unit_resolution,[status(thm)],[9443, 1184])).
% 8.31/5.89 tff(9445,plain,
% 8.31/5.89 (nextState(constB6, constB7) <=> nextState(constB6, constB7)),
% 8.31/5.89 inference(rewrite,[status(thm)],[])).
% 8.31/5.89 tff(9446,axiom,(nextState(constB6, constB7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_6')).
% 8.31/5.89 tff(9447,plain,
% 8.31/5.89 (nextState(constB6, constB7)),
% 8.31/5.89 inference(modus_ponens,[status(thm)],[9446, 9445])).
% 8.31/5.89 tff(9448,plain,
% 8.31/5.89 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB6, constB7)) | (v94(constB7) <=> (~((~v104(constB7)) | (~v95(constB7))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB6, constB7)) | (v94(constB7) <=> (~((~v104(constB7)) | (~v95(constB7))))))),
% 8.31/5.89 inference(rewrite,[status(thm)],[])).
% 8.31/5.89 tff(9449,plain,
% 8.31/5.89 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB6, constB7)) | (v94(constB7) <=> (~((~v104(constB7)) | (~v95(constB7))))))),
% 8.31/5.89 inference(quant_inst,[status(thm)],[])).
% 8.31/5.89 tff(9450,plain,
% 8.31/5.89 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB6, constB7)) | (v94(constB7) <=> (~((~v104(constB7)) | (~v95(constB7)))))),
% 8.31/5.89 inference(modus_ponens,[status(thm)],[9449, 9448])).
% 8.31/5.89 tff(9451,plain,
% 8.31/5.89 (v94(constB7) <=> (~((~v104(constB7)) | (~v95(constB7))))),
% 8.31/5.89 inference(unit_resolution,[status(thm)],[9450, 9447, 775])).
% 8.31/5.89 tff(9452,plain,
% 8.31/5.89 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB6, constB7)) | (v95(constB7) <=> (~((~v1(constB7)) | (~v96(constB7))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB6, constB7)) | (v95(constB7) <=> (~((~v1(constB7)) | (~v96(constB7))))))),
% 8.31/5.89 inference(rewrite,[status(thm)],[])).
% 8.31/5.89 tff(9453,plain,
% 8.31/5.89 (((~nextState(constB6, constB7)) | (v95(constB7) <=> (~((~v96(constB7)) | (~v1(constB7)))))) <=> ((~nextState(constB6, constB7)) | (v95(constB7) <=> (~((~v1(constB7)) | (~v96(constB7))))))),
% 8.31/5.89 inference(rewrite,[status(thm)],[])).
% 8.31/5.89 tff(9454,plain,
% 8.31/5.89 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB6, constB7)) | (v95(constB7) <=> (~((~v96(constB7)) | (~v1(constB7))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB6, constB7)) | (v95(constB7) <=> (~((~v1(constB7)) | (~v96(constB7)))))))),
% 8.31/5.89 inference(monotonicity,[status(thm)],[9453])).
% 8.31/5.89 tff(9455,plain,
% 8.31/5.89 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB6, constB7)) | (v95(constB7) <=> (~((~v96(constB7)) | (~v1(constB7))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB6, constB7)) | (v95(constB7) <=> (~((~v1(constB7)) | (~v96(constB7))))))),
% 8.31/5.89 inference(transitivity,[status(thm)],[9454, 9452])).
% 8.31/5.89 tff(9456,plain,
% 8.31/5.89 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB6, constB7)) | (v95(constB7) <=> (~((~v96(constB7)) | (~v1(constB7))))))),
% 8.31/5.89 inference(quant_inst,[status(thm)],[])).
% 8.31/5.89 tff(9457,plain,
% 8.31/5.89 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB6, constB7)) | (v95(constB7) <=> (~((~v1(constB7)) | (~v96(constB7)))))),
% 8.31/5.89 inference(modus_ponens,[status(thm)],[9456, 9455])).
% 8.31/5.89 tff(9458,plain,
% 8.31/5.89 (v95(constB7) <=> (~((~v1(constB7)) | (~v96(constB7))))),
% 8.31/5.89 inference(unit_resolution,[status(thm)],[9457, 9447, 795])).
% 8.31/5.89 tff(9459,plain,
% 8.31/5.89 (((~v1(constB7)) | (~v96(constB7))) | v1(constB7)),
% 8.31/5.89 inference(tautology,[status(thm)],[])).
% 8.31/5.89 tff(9460,plain,
% 8.31/5.89 ((~v1(constB7)) | (~v96(constB7))),
% 8.31/5.89 inference(unit_resolution,[status(thm)],[9459, 9413])).
% 8.31/5.89 tff(9461,plain,
% 8.31/5.89 ((~(v95(constB7) <=> (~((~v1(constB7)) | (~v96(constB7)))))) | (~v95(constB7)) | (~((~v1(constB7)) | (~v96(constB7))))),
% 8.31/5.89 inference(tautology,[status(thm)],[])).
% 8.31/5.89 tff(9462,plain,
% 8.31/5.89 ((~(v95(constB7) <=> (~((~v1(constB7)) | (~v96(constB7)))))) | (~v95(constB7))),
% 8.31/5.89 inference(unit_resolution,[status(thm)],[9461, 9460])).
% 8.31/5.89 tff(9463,plain,
% 8.31/5.89 (~v95(constB7)),
% 8.31/5.89 inference(unit_resolution,[status(thm)],[9462, 9458])).
% 8.31/5.89 tff(9464,plain,
% 8.31/5.89 (((~v104(constB7)) | (~v95(constB7))) | v95(constB7)),
% 8.31/5.89 inference(tautology,[status(thm)],[])).
% 8.31/5.89 tff(9465,plain,
% 8.31/5.89 ((~v104(constB7)) | (~v95(constB7))),
% 8.31/5.89 inference(unit_resolution,[status(thm)],[9464, 9463])).
% 8.31/5.89 tff(9466,plain,
% 8.31/5.89 ((~(v94(constB7) <=> (~((~v104(constB7)) | (~v95(constB7)))))) | (~v94(constB7)) | (~((~v104(constB7)) | (~v95(constB7))))),
% 8.31/5.89 inference(tautology,[status(thm)],[])).
% 8.31/5.89 tff(9467,plain,
% 8.31/5.89 (~v94(constB7)),
% 8.31/5.89 inference(unit_resolution,[status(thm)],[9466, 9465, 9451])).
% 8.31/5.89 tff(9468,plain,
% 8.31/5.89 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB7) | (~nextState(constB6, constB7)) | ![B: $i] : ((~less_3(B)) | (v84(constB7, B) <=> v84(constB6, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB7) | (~nextState(constB6, constB7)) | ![B: $i] : ((~less_3(B)) | (v84(constB7, B) <=> v84(constB6, B))))),
% 8.31/5.89 inference(rewrite,[status(thm)],[])).
% 8.31/5.89 tff(9469,plain,
% 8.31/5.89 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB7) | (~nextState(constB6, constB7)) | ![B: $i] : ((~less_3(B)) | (v84(constB7, B) <=> v84(constB6, B))))),
% 8.31/5.89 inference(quant_inst,[status(thm)],[])).
% 8.31/5.89 tff(9470,plain,
% 8.31/5.89 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB7) | (~nextState(constB6, constB7)) | ![B: $i] : ((~less_3(B)) | (v84(constB7, B) <=> v84(constB6, B)))),
% 8.31/5.89 inference(modus_ponens,[status(thm)],[9469, 9468])).
% 8.31/5.89 tff(9471,plain,
% 8.31/5.89 (v94(constB7) | ![B: $i] : ((~less_3(B)) | (v84(constB7, B) <=> v84(constB6, B)))),
% 8.31/5.89 inference(unit_resolution,[status(thm)],[9470, 9447, 824])).
% 8.31/5.89 tff(9472,plain,
% 8.31/5.89 (![B: $i] : ((~less_3(B)) | (v84(constB7, B) <=> v84(constB6, B)))),
% 8.31/5.89 inference(unit_resolution,[status(thm)],[9471, 9467])).
% 8.31/5.89 tff(9473,plain,
% 8.31/5.89 (((~![B: $i] : ((~less_3(B)) | (v84(constB7, B) <=> v84(constB6, B)))) | ((~less_3(bitIndex2)) | (v84(constB7, bitIndex2) <=> v84(constB6, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB7, B) <=> v84(constB6, B)))) | (~less_3(bitIndex2)) | (v84(constB7, bitIndex2) <=> v84(constB6, bitIndex2)))),
% 8.31/5.89 inference(rewrite,[status(thm)],[])).
% 8.31/5.89 tff(9474,plain,
% 8.31/5.89 ((~![B: $i] : ((~less_3(B)) | (v84(constB7, B) <=> v84(constB6, B)))) | ((~less_3(bitIndex2)) | (v84(constB7, bitIndex2) <=> v84(constB6, bitIndex2)))),
% 8.31/5.89 inference(quant_inst,[status(thm)],[])).
% 8.31/5.89 tff(9475,plain,
% 8.31/5.89 ((~![B: $i] : ((~less_3(B)) | (v84(constB7, B) <=> v84(constB6, B)))) | (~less_3(bitIndex2)) | (v84(constB7, bitIndex2) <=> v84(constB6, bitIndex2))),
% 8.31/5.89 inference(modus_ponens,[status(thm)],[9474, 9473])).
% 8.31/5.89 tff(9476,plain,
% 8.31/5.89 (v84(constB7, bitIndex2) <=> v84(constB6, bitIndex2)),
% 8.31/5.89 inference(unit_resolution,[status(thm)],[9475, 832, 9472])).
% 8.31/5.89 tff(9477,plain,
% 8.31/5.89 (nextState(constB5, constB6) <=> nextState(constB5, constB6)),
% 8.31/5.89 inference(rewrite,[status(thm)],[])).
% 8.31/5.89 tff(9478,axiom,(nextState(constB5, constB6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_5')).
% 8.31/5.89 tff(9479,plain,
% 8.31/5.89 (nextState(constB5, constB6)),
% 8.31/5.89 inference(modus_ponens,[status(thm)],[9478, 9477])).
% 8.31/5.89 tff(9480,plain,
% 8.31/5.89 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB5, constB6)) | (v94(constB6) <=> (~((~v104(constB6)) | (~v95(constB6))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB5, constB6)) | (v94(constB6) <=> (~((~v104(constB6)) | (~v95(constB6))))))),
% 8.31/5.90 inference(rewrite,[status(thm)],[])).
% 8.31/5.90 tff(9481,plain,
% 8.31/5.90 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB5, constB6)) | (v94(constB6) <=> (~((~v104(constB6)) | (~v95(constB6))))))),
% 8.31/5.90 inference(quant_inst,[status(thm)],[])).
% 8.31/5.90 tff(9482,plain,
% 8.31/5.90 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB5, constB6)) | (v94(constB6) <=> (~((~v104(constB6)) | (~v95(constB6)))))),
% 8.31/5.90 inference(modus_ponens,[status(thm)],[9481, 9480])).
% 8.31/5.90 tff(9483,plain,
% 8.31/5.90 (v94(constB6) <=> (~((~v104(constB6)) | (~v95(constB6))))),
% 8.31/5.90 inference(unit_resolution,[status(thm)],[9482, 9479, 775])).
% 8.31/5.90 tff(9484,plain,
% 8.31/5.90 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB5, constB6)) | (v95(constB6) <=> (~((~v1(constB6)) | (~v96(constB6))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB5, constB6)) | (v95(constB6) <=> (~((~v1(constB6)) | (~v96(constB6))))))),
% 8.31/5.90 inference(rewrite,[status(thm)],[])).
% 8.31/5.90 tff(9485,plain,
% 8.31/5.90 (((~nextState(constB5, constB6)) | (v95(constB6) <=> (~((~v96(constB6)) | (~v1(constB6)))))) <=> ((~nextState(constB5, constB6)) | (v95(constB6) <=> (~((~v1(constB6)) | (~v96(constB6))))))),
% 8.31/5.90 inference(rewrite,[status(thm)],[])).
% 8.31/5.90 tff(9486,plain,
% 8.31/5.90 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB5, constB6)) | (v95(constB6) <=> (~((~v96(constB6)) | (~v1(constB6))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB5, constB6)) | (v95(constB6) <=> (~((~v1(constB6)) | (~v96(constB6)))))))),
% 8.31/5.90 inference(monotonicity,[status(thm)],[9485])).
% 8.31/5.90 tff(9487,plain,
% 8.31/5.90 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB5, constB6)) | (v95(constB6) <=> (~((~v96(constB6)) | (~v1(constB6))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB5, constB6)) | (v95(constB6) <=> (~((~v1(constB6)) | (~v96(constB6))))))),
% 8.31/5.90 inference(transitivity,[status(thm)],[9486, 9484])).
% 8.31/5.90 tff(9488,plain,
% 8.31/5.90 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB5, constB6)) | (v95(constB6) <=> (~((~v96(constB6)) | (~v1(constB6))))))),
% 8.31/5.90 inference(quant_inst,[status(thm)],[])).
% 8.31/5.90 tff(9489,plain,
% 8.31/5.90 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB5, constB6)) | (v95(constB6) <=> (~((~v1(constB6)) | (~v96(constB6)))))),
% 8.31/5.90 inference(modus_ponens,[status(thm)],[9488, 9487])).
% 8.31/5.90 tff(9490,plain,
% 8.31/5.90 (v95(constB6) <=> (~((~v1(constB6)) | (~v96(constB6))))),
% 8.31/5.90 inference(unit_resolution,[status(thm)],[9489, 9479, 795])).
% 8.31/5.90 tff(9491,plain,
% 8.31/5.90 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB5, constB6)) | ((~v96(constB6)) <=> v98(constB6)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB5, constB6)) | ((~v96(constB6)) <=> v98(constB6)))),
% 8.31/5.90 inference(rewrite,[status(thm)],[])).
% 8.31/5.90 tff(9492,plain,
% 8.31/5.90 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB5, constB6)) | ((~v96(constB6)) <=> v98(constB6)))),
% 8.31/5.90 inference(quant_inst,[status(thm)],[])).
% 8.31/5.90 tff(9493,plain,
% 8.31/5.90 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB5, constB6)) | ((~v96(constB6)) <=> v98(constB6))),
% 8.31/5.90 inference(modus_ponens,[status(thm)],[9492, 9491])).
% 8.31/5.90 tff(9494,plain,
% 8.31/5.90 ((~v96(constB6)) <=> v98(constB6)),
% 8.31/5.90 inference(unit_resolution,[status(thm)],[9493, 9479, 860])).
% 8.31/5.90 tff(9495,plain,
% 8.31/5.90 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB5, constB6)) | (v98(constB6) <=> v1(constB5)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB5, constB6)) | (v98(constB6) <=> v1(constB5)))),
% 8.31/5.90 inference(rewrite,[status(thm)],[])).
% 8.31/5.90 tff(9496,plain,
% 8.31/5.90 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB5, constB6)) | (v98(constB6) <=> v1(constB5)))),
% 8.31/5.90 inference(quant_inst,[status(thm)],[])).
% 8.31/5.90 tff(9497,plain,
% 8.31/5.90 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB5, constB6)) | (v98(constB6) <=> v1(constB5))),
% 8.31/5.90 inference(modus_ponens,[status(thm)],[9496, 9495])).
% 8.31/5.90 tff(9498,plain,
% 8.31/5.90 (v98(constB6) <=> v1(constB5)),
% 8.31/5.90 inference(unit_resolution,[status(thm)],[9497, 9479, 874])).
% 8.31/5.90 tff(9499,plain,
% 8.31/5.90 ((~v1(constB5)) <=> (~v1(constB5))),
% 8.31/5.90 inference(rewrite,[status(thm)],[])).
% 8.31/5.90 tff(9500,axiom,(~v1(constB5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_5')).
% 8.31/5.90 tff(9501,plain,
% 8.31/5.90 (~v1(constB5)),
% 8.31/5.90 inference(modus_ponens,[status(thm)],[9500, 9499])).
% 8.31/5.90 tff(9502,plain,
% 8.31/5.90 ((~(v98(constB6) <=> v1(constB5))) | (~v98(constB6)) | v1(constB5)),
% 8.31/5.90 inference(tautology,[status(thm)],[])).
% 8.31/5.90 tff(9503,plain,
% 8.31/5.90 ((~(v98(constB6) <=> v1(constB5))) | (~v98(constB6))),
% 8.31/5.90 inference(unit_resolution,[status(thm)],[9502, 9501])).
% 8.31/5.90 tff(9504,plain,
% 8.31/5.90 (~v98(constB6)),
% 8.31/5.90 inference(unit_resolution,[status(thm)],[9503, 9498])).
% 8.31/5.90 tff(9505,plain,
% 8.31/5.90 ((~((~v96(constB6)) <=> v98(constB6))) | v96(constB6) | v98(constB6)),
% 8.31/5.90 inference(tautology,[status(thm)],[])).
% 8.31/5.90 tff(9506,plain,
% 8.31/5.90 (v96(constB6)),
% 8.31/5.90 inference(unit_resolution,[status(thm)],[9505, 9504, 9494])).
% 8.31/5.90 tff(9507,plain,
% 8.31/5.90 (v1(constB6) <=> v1(constB6)),
% 8.31/5.90 inference(rewrite,[status(thm)],[])).
% 8.31/5.90 tff(9508,axiom,(v1(constB6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_6')).
% 8.31/5.90 tff(9509,plain,
% 8.31/5.90 (v1(constB6)),
% 8.31/5.90 inference(modus_ponens,[status(thm)],[9508, 9507])).
% 8.31/5.90 tff(9510,plain,
% 8.31/5.90 ((~((~v1(constB6)) | (~v96(constB6)))) | (~v1(constB6)) | (~v96(constB6))),
% 8.31/5.90 inference(tautology,[status(thm)],[])).
% 8.31/5.90 tff(9511,plain,
% 8.31/5.90 ((~((~v1(constB6)) | (~v96(constB6)))) | (~v96(constB6))),
% 8.31/5.90 inference(unit_resolution,[status(thm)],[9510, 9509])).
% 8.31/5.90 tff(9512,plain,
% 8.31/5.90 (~((~v1(constB6)) | (~v96(constB6)))),
% 8.31/5.90 inference(unit_resolution,[status(thm)],[9511, 9506])).
% 8.31/5.90 tff(9513,plain,
% 8.31/5.90 ((~(v95(constB6) <=> (~((~v1(constB6)) | (~v96(constB6)))))) | v95(constB6) | ((~v1(constB6)) | (~v96(constB6)))),
% 8.31/5.90 inference(tautology,[status(thm)],[])).
% 8.31/5.90 tff(9514,plain,
% 8.31/5.90 (v95(constB6)),
% 8.31/5.90 inference(unit_resolution,[status(thm)],[9513, 9512, 9490])).
% 8.31/5.90 tff(9515,plain,
% 8.31/5.90 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB5, constB6)) | (v104(constB6) <=> v102(constB5)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB5, constB6)) | (v104(constB6) <=> v102(constB5)))),
% 8.31/5.90 inference(rewrite,[status(thm)],[])).
% 8.31/5.90 tff(9516,plain,
% 8.31/5.90 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB5, constB6)) | (v104(constB6) <=> v102(constB5)))),
% 8.31/5.90 inference(quant_inst,[status(thm)],[])).
% 8.31/5.90 tff(9517,plain,
% 8.31/5.90 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB5, constB6)) | (v104(constB6) <=> v102(constB5))),
% 8.31/5.90 inference(modus_ponens,[status(thm)],[9516, 9515])).
% 8.31/5.90 tff(9518,plain,
% 8.31/5.90 (v104(constB6) <=> v102(constB5)),
% 8.31/5.90 inference(unit_resolution,[status(thm)],[9517, 9479, 904])).
% 8.31/5.90 tff(9519,plain,
% 8.31/5.90 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB5) <=> (v105(constB5) | v106(constB5)))),
% 8.31/5.90 inference(quant_inst,[status(thm)],[])).
% 8.31/5.90 tff(9520,plain,
% 8.31/5.90 (v102(constB5) <=> (v105(constB5) | v106(constB5))),
% 8.31/5.90 inference(unit_resolution,[status(thm)],[9519, 915])).
% 8.31/5.90 tff(9521,plain,
% 8.31/5.90 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB5) <=> (~((~v107(constB5)) | (~v120(constB5)))))),
% 8.31/5.90 inference(quant_inst,[status(thm)],[])).
% 8.31/5.90 tff(9522,plain,
% 8.31/5.90 (v106(constB5) <=> (~((~v107(constB5)) | (~v120(constB5))))),
% 8.31/5.90 inference(unit_resolution,[status(thm)],[9521, 927])).
% 8.31/5.90 tff(9523,plain,
% 8.31/5.90 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB5) <=> (v108(constB5) | v119(constB5)))),
% 8.31/5.90 inference(quant_inst,[status(thm)],[])).
% 8.31/5.90 tff(9524,plain,
% 8.31/5.90 (v107(constB5) <=> (v108(constB5) | v119(constB5))),
% 8.31/5.90 inference(unit_resolution,[status(thm)],[9523, 936])).
% 8.31/5.90 tff(9525,plain,
% 8.31/5.90 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB5) <=> (v109(constB5) | v118(constB5)))),
% 8.31/5.90 inference(quant_inst,[status(thm)],[])).
% 8.31/5.90 tff(9526,plain,
% 8.31/5.90 (v108(constB5) <=> (v109(constB5) | v118(constB5))),
% 8.31/5.90 inference(unit_resolution,[status(thm)],[9525, 945])).
% 8.31/5.90 tff(9527,plain,
% 8.31/5.90 ((~![VarCurr: $i] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB5) <=> (v110(constB5) | v117(constB5)))),
% 8.31/5.90 inference(quant_inst,[status(thm)],[])).
% 8.31/5.90 tff(9528,plain,
% 8.31/5.90 (v109(constB5) <=> (v110(constB5) | v117(constB5))),
% 8.31/5.90 inference(unit_resolution,[status(thm)],[9527, 1056])).
% 8.31/5.90 tff(9529,plain,
% 8.31/5.90 ((~![VarCurr: $i] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB5) <=> (v111(constB5) | v116(constB5)))),
% 8.31/5.90 inference(quant_inst,[status(thm)],[])).
% 8.31/5.90 tff(9530,plain,
% 8.31/5.90 (v110(constB5) <=> (v111(constB5) | v116(constB5))),
% 8.31/5.90 inference(unit_resolution,[status(thm)],[9529, 1169])).
% 8.31/5.90 tff(9531,plain,
% 8.31/5.90 ((~![VarCurr: $i] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB5) <=> (v112(constB5) | v115(constB5)))),
% 8.31/5.90 inference(quant_inst,[status(thm)],[])).
% 8.31/5.90 tff(9532,plain,
% 8.31/5.90 (v111(constB5) <=> (v112(constB5) | v115(constB5))),
% 8.31/5.90 inference(unit_resolution,[status(thm)],[9531, 1279])).
% 8.31/5.90 tff(9533,plain,
% 8.31/5.90 (((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB5) <=> (~(v84(constB5, bitIndex2) | (~v84(constB5, bitIndex1)) | v84(constB5, bitIndex0))))) <=> ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB5) <=> (~(v84(constB5, bitIndex2) | (~v84(constB5, bitIndex1)) | v84(constB5, bitIndex0)))))),
% 8.31/5.90 inference(rewrite,[status(thm)],[])).
% 8.31/5.90 tff(9534,plain,
% 8.31/5.90 ((v115(constB5) <=> (~(v84(constB5, bitIndex0) | v84(constB5, bitIndex2) | (~v84(constB5, bitIndex1))))) <=> (v115(constB5) <=> (~(v84(constB5, bitIndex2) | (~v84(constB5, bitIndex1)) | v84(constB5, bitIndex0))))),
% 8.31/5.90 inference(rewrite,[status(thm)],[])).
% 8.31/5.90 tff(9535,plain,
% 8.31/5.90 (((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB5) <=> (~(v84(constB5, bitIndex0) | v84(constB5, bitIndex2) | (~v84(constB5, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB5) <=> (~(v84(constB5, bitIndex2) | (~v84(constB5, bitIndex1)) | v84(constB5, bitIndex0)))))),
% 8.31/5.90 inference(monotonicity,[status(thm)],[9534])).
% 8.31/5.90 tff(9536,plain,
% 8.31/5.90 (((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB5) <=> (~(v84(constB5, bitIndex0) | v84(constB5, bitIndex2) | (~v84(constB5, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB5) <=> (~(v84(constB5, bitIndex2) | (~v84(constB5, bitIndex1)) | v84(constB5, bitIndex0)))))),
% 8.31/5.90 inference(transitivity,[status(thm)],[9535, 9533])).
% 8.31/5.90 tff(9537,plain,
% 8.31/5.90 ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB5) <=> (~(v84(constB5, bitIndex0) | v84(constB5, bitIndex2) | (~v84(constB5, bitIndex1)))))),
% 8.31/5.90 inference(quant_inst,[status(thm)],[])).
% 8.31/5.90 tff(9538,plain,
% 8.31/5.90 ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB5) <=> (~(v84(constB5, bitIndex2) | (~v84(constB5, bitIndex1)) | v84(constB5, bitIndex0))))),
% 8.31/5.90 inference(modus_ponens,[status(thm)],[9537, 9536])).
% 8.31/5.90 tff(9539,plain,
% 8.31/5.90 (v115(constB5) <=> (~(v84(constB5, bitIndex2) | (~v84(constB5, bitIndex1)) | v84(constB5, bitIndex0)))),
% 8.31/5.90 inference(unit_resolution,[status(thm)],[9538, 1294])).
% 8.31/5.90 tff(9540,plain,
% 8.31/5.90 (nextState(constB4, constB5) <=> nextState(constB4, constB5)),
% 8.31/5.90 inference(rewrite,[status(thm)],[])).
% 8.31/5.90 tff(9541,axiom,(nextState(constB4, constB5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_4')).
% 8.31/5.90 tff(9542,plain,
% 8.31/5.90 (nextState(constB4, constB5)),
% 8.31/5.90 inference(modus_ponens,[status(thm)],[9541, 9540])).
% 8.31/5.90 tff(9543,plain,
% 8.31/5.90 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB4, constB5)) | (v94(constB5) <=> (~((~v104(constB5)) | (~v95(constB5))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB4, constB5)) | (v94(constB5) <=> (~((~v104(constB5)) | (~v95(constB5))))))),
% 8.31/5.90 inference(rewrite,[status(thm)],[])).
% 8.31/5.90 tff(9544,plain,
% 8.31/5.90 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB4, constB5)) | (v94(constB5) <=> (~((~v104(constB5)) | (~v95(constB5))))))),
% 8.31/5.90 inference(quant_inst,[status(thm)],[])).
% 8.31/5.90 tff(9545,plain,
% 8.31/5.90 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB4, constB5)) | (v94(constB5) <=> (~((~v104(constB5)) | (~v95(constB5)))))),
% 8.31/5.90 inference(modus_ponens,[status(thm)],[9544, 9543])).
% 8.31/5.90 tff(9546,plain,
% 8.31/5.90 (v94(constB5) <=> (~((~v104(constB5)) | (~v95(constB5))))),
% 8.31/5.90 inference(unit_resolution,[status(thm)],[9545, 9542, 775])).
% 8.31/5.90 tff(9547,plain,
% 8.31/5.90 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB4, constB5)) | (v95(constB5) <=> (~((~v1(constB5)) | (~v96(constB5))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB4, constB5)) | (v95(constB5) <=> (~((~v1(constB5)) | (~v96(constB5))))))),
% 8.31/5.90 inference(rewrite,[status(thm)],[])).
% 8.31/5.90 tff(9548,plain,
% 8.31/5.90 (((~nextState(constB4, constB5)) | (v95(constB5) <=> (~((~v96(constB5)) | (~v1(constB5)))))) <=> ((~nextState(constB4, constB5)) | (v95(constB5) <=> (~((~v1(constB5)) | (~v96(constB5))))))),
% 8.31/5.90 inference(rewrite,[status(thm)],[])).
% 8.31/5.90 tff(9549,plain,
% 8.31/5.90 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB4, constB5)) | (v95(constB5) <=> (~((~v96(constB5)) | (~v1(constB5))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB4, constB5)) | (v95(constB5) <=> (~((~v1(constB5)) | (~v96(constB5)))))))),
% 8.31/5.90 inference(monotonicity,[status(thm)],[9548])).
% 8.31/5.90 tff(9550,plain,
% 8.31/5.90 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB4, constB5)) | (v95(constB5) <=> (~((~v96(constB5)) | (~v1(constB5))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB4, constB5)) | (v95(constB5) <=> (~((~v1(constB5)) | (~v96(constB5))))))),
% 8.31/5.90 inference(transitivity,[status(thm)],[9549, 9547])).
% 8.31/5.90 tff(9551,plain,
% 8.31/5.90 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB4, constB5)) | (v95(constB5) <=> (~((~v96(constB5)) | (~v1(constB5))))))),
% 8.31/5.90 inference(quant_inst,[status(thm)],[])).
% 8.31/5.90 tff(9552,plain,
% 8.31/5.90 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB4, constB5)) | (v95(constB5) <=> (~((~v1(constB5)) | (~v96(constB5)))))),
% 8.31/5.90 inference(modus_ponens,[status(thm)],[9551, 9550])).
% 8.31/5.90 tff(9553,plain,
% 8.31/5.90 (v95(constB5) <=> (~((~v1(constB5)) | (~v96(constB5))))),
% 8.31/5.90 inference(unit_resolution,[status(thm)],[9552, 9542, 795])).
% 8.31/5.90 tff(9554,plain,
% 8.31/5.90 (((~v1(constB5)) | (~v96(constB5))) | v1(constB5)),
% 8.31/5.90 inference(tautology,[status(thm)],[])).
% 8.31/5.90 tff(9555,plain,
% 8.31/5.90 ((~v1(constB5)) | (~v96(constB5))),
% 8.31/5.90 inference(unit_resolution,[status(thm)],[9554, 9501])).
% 8.31/5.90 tff(9556,plain,
% 8.31/5.90 ((~(v95(constB5) <=> (~((~v1(constB5)) | (~v96(constB5)))))) | (~v95(constB5)) | (~((~v1(constB5)) | (~v96(constB5))))),
% 8.31/5.90 inference(tautology,[status(thm)],[])).
% 8.31/5.90 tff(9557,plain,
% 8.31/5.90 ((~(v95(constB5) <=> (~((~v1(constB5)) | (~v96(constB5)))))) | (~v95(constB5))),
% 8.31/5.90 inference(unit_resolution,[status(thm)],[9556, 9555])).
% 8.31/5.90 tff(9558,plain,
% 8.31/5.90 (~v95(constB5)),
% 8.31/5.90 inference(unit_resolution,[status(thm)],[9557, 9553])).
% 8.31/5.90 tff(9559,plain,
% 8.31/5.90 (((~v104(constB5)) | (~v95(constB5))) | v95(constB5)),
% 8.31/5.90 inference(tautology,[status(thm)],[])).
% 8.31/5.90 tff(9560,plain,
% 8.31/5.90 ((~v104(constB5)) | (~v95(constB5))),
% 8.31/5.90 inference(unit_resolution,[status(thm)],[9559, 9558])).
% 8.31/5.90 tff(9561,plain,
% 8.31/5.90 ((~(v94(constB5) <=> (~((~v104(constB5)) | (~v95(constB5)))))) | (~v94(constB5)) | (~((~v104(constB5)) | (~v95(constB5))))),
% 8.31/5.90 inference(tautology,[status(thm)],[])).
% 8.31/5.90 tff(9562,plain,
% 8.31/5.90 (~v94(constB5)),
% 8.31/5.90 inference(unit_resolution,[status(thm)],[9561, 9560, 9546])).
% 8.31/5.90 tff(9563,plain,
% 8.31/5.90 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB5) | (~nextState(constB4, constB5)) | ![B: $i] : ((~less_3(B)) | (v84(constB5, B) <=> v84(constB4, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB5) | (~nextState(constB4, constB5)) | ![B: $i] : ((~less_3(B)) | (v84(constB5, B) <=> v84(constB4, B))))),
% 8.31/5.90 inference(rewrite,[status(thm)],[])).
% 8.31/5.90 tff(9564,plain,
% 8.31/5.90 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB5) | (~nextState(constB4, constB5)) | ![B: $i] : ((~less_3(B)) | (v84(constB5, B) <=> v84(constB4, B))))),
% 8.31/5.90 inference(quant_inst,[status(thm)],[])).
% 8.31/5.90 tff(9565,plain,
% 8.31/5.90 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB5) | (~nextState(constB4, constB5)) | ![B: $i] : ((~less_3(B)) | (v84(constB5, B) <=> v84(constB4, B)))),
% 8.31/5.90 inference(modus_ponens,[status(thm)],[9564, 9563])).
% 8.31/5.90 tff(9566,plain,
% 8.31/5.90 (v94(constB5) | ![B: $i] : ((~less_3(B)) | (v84(constB5, B) <=> v84(constB4, B)))),
% 8.31/5.90 inference(unit_resolution,[status(thm)],[9565, 9542, 824])).
% 8.31/5.90 tff(9567,plain,
% 8.31/5.90 (![B: $i] : ((~less_3(B)) | (v84(constB5, B) <=> v84(constB4, B)))),
% 8.31/5.90 inference(unit_resolution,[status(thm)],[9566, 9562])).
% 8.31/5.90 tff(9568,plain,
% 8.31/5.90 (((~![B: $i] : ((~less_3(B)) | (v84(constB5, B) <=> v84(constB4, B)))) | ((~less_3(bitIndex2)) | (v84(constB5, bitIndex2) <=> v84(constB4, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB5, B) <=> v84(constB4, B)))) | (~less_3(bitIndex2)) | (v84(constB5, bitIndex2) <=> v84(constB4, bitIndex2)))),
% 8.31/5.90 inference(rewrite,[status(thm)],[])).
% 8.31/5.90 tff(9569,plain,
% 8.31/5.90 ((~![B: $i] : ((~less_3(B)) | (v84(constB5, B) <=> v84(constB4, B)))) | ((~less_3(bitIndex2)) | (v84(constB5, bitIndex2) <=> v84(constB4, bitIndex2)))),
% 8.31/5.90 inference(quant_inst,[status(thm)],[])).
% 8.31/5.90 tff(9570,plain,
% 8.31/5.90 ((~![B: $i] : ((~less_3(B)) | (v84(constB5, B) <=> v84(constB4, B)))) | (~less_3(bitIndex2)) | (v84(constB5, bitIndex2) <=> v84(constB4, bitIndex2))),
% 8.31/5.90 inference(modus_ponens,[status(thm)],[9569, 9568])).
% 8.31/5.90 tff(9571,plain,
% 8.31/5.90 (v84(constB5, bitIndex2) <=> v84(constB4, bitIndex2)),
% 8.31/5.90 inference(unit_resolution,[status(thm)],[9570, 832, 9567])).
% 8.31/5.90 tff(9572,plain,
% 8.31/5.90 (nextState(constB3, constB4) <=> nextState(constB3, constB4)),
% 8.31/5.90 inference(rewrite,[status(thm)],[])).
% 8.31/5.90 tff(9573,axiom,(nextState(constB3, constB4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_3')).
% 8.31/5.90 tff(9574,plain,
% 8.31/5.90 (nextState(constB3, constB4)),
% 8.31/5.90 inference(modus_ponens,[status(thm)],[9573, 9572])).
% 8.31/5.90 tff(9575,plain,
% 8.31/5.90 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB3, constB4)) | (v94(constB4) <=> (~((~v104(constB4)) | (~v95(constB4))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB3, constB4)) | (v94(constB4) <=> (~((~v104(constB4)) | (~v95(constB4))))))),
% 8.31/5.90 inference(rewrite,[status(thm)],[])).
% 8.31/5.90 tff(9576,plain,
% 8.31/5.90 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB3, constB4)) | (v94(constB4) <=> (~((~v104(constB4)) | (~v95(constB4))))))),
% 8.31/5.90 inference(quant_inst,[status(thm)],[])).
% 8.31/5.90 tff(9577,plain,
% 8.31/5.90 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB3, constB4)) | (v94(constB4) <=> (~((~v104(constB4)) | (~v95(constB4)))))),
% 8.31/5.90 inference(modus_ponens,[status(thm)],[9576, 9575])).
% 8.31/5.90 tff(9578,plain,
% 8.31/5.90 (v94(constB4) <=> (~((~v104(constB4)) | (~v95(constB4))))),
% 8.31/5.90 inference(unit_resolution,[status(thm)],[9577, 9574, 775])).
% 8.31/5.90 tff(9579,plain,
% 8.31/5.90 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB3, constB4)) | (v95(constB4) <=> (~((~v1(constB4)) | (~v96(constB4))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB3, constB4)) | (v95(constB4) <=> (~((~v1(constB4)) | (~v96(constB4))))))),
% 8.31/5.90 inference(rewrite,[status(thm)],[])).
% 8.31/5.90 tff(9580,plain,
% 8.31/5.90 (((~nextState(constB3, constB4)) | (v95(constB4) <=> (~((~v96(constB4)) | (~v1(constB4)))))) <=> ((~nextState(constB3, constB4)) | (v95(constB4) <=> (~((~v1(constB4)) | (~v96(constB4))))))),
% 8.31/5.90 inference(rewrite,[status(thm)],[])).
% 8.31/5.90 tff(9581,plain,
% 8.31/5.90 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB3, constB4)) | (v95(constB4) <=> (~((~v96(constB4)) | (~v1(constB4))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB3, constB4)) | (v95(constB4) <=> (~((~v1(constB4)) | (~v96(constB4)))))))),
% 8.31/5.90 inference(monotonicity,[status(thm)],[9580])).
% 8.31/5.90 tff(9582,plain,
% 8.31/5.90 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB3, constB4)) | (v95(constB4) <=> (~((~v96(constB4)) | (~v1(constB4))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB3, constB4)) | (v95(constB4) <=> (~((~v1(constB4)) | (~v96(constB4))))))),
% 8.31/5.90 inference(transitivity,[status(thm)],[9581, 9579])).
% 8.31/5.90 tff(9583,plain,
% 8.31/5.90 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB3, constB4)) | (v95(constB4) <=> (~((~v96(constB4)) | (~v1(constB4))))))),
% 8.31/5.90 inference(quant_inst,[status(thm)],[])).
% 8.31/5.90 tff(9584,plain,
% 8.31/5.90 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB3, constB4)) | (v95(constB4) <=> (~((~v1(constB4)) | (~v96(constB4)))))),
% 8.31/5.90 inference(modus_ponens,[status(thm)],[9583, 9582])).
% 8.31/5.90 tff(9585,plain,
% 8.31/5.90 (v95(constB4) <=> (~((~v1(constB4)) | (~v96(constB4))))),
% 8.31/5.90 inference(unit_resolution,[status(thm)],[9584, 9574, 795])).
% 8.31/5.90 tff(9586,plain,
% 8.31/5.90 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB3, constB4)) | ((~v96(constB4)) <=> v98(constB4)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB3, constB4)) | ((~v96(constB4)) <=> v98(constB4)))),
% 8.31/5.90 inference(rewrite,[status(thm)],[])).
% 8.31/5.90 tff(9587,plain,
% 8.31/5.90 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB3, constB4)) | ((~v96(constB4)) <=> v98(constB4)))),
% 8.31/5.90 inference(quant_inst,[status(thm)],[])).
% 8.31/5.90 tff(9588,plain,
% 8.31/5.90 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB3, constB4)) | ((~v96(constB4)) <=> v98(constB4))),
% 8.31/5.90 inference(modus_ponens,[status(thm)],[9587, 9586])).
% 8.31/5.90 tff(9589,plain,
% 8.31/5.90 ((~v96(constB4)) <=> v98(constB4)),
% 8.31/5.90 inference(unit_resolution,[status(thm)],[9588, 9574, 860])).
% 8.31/5.90 tff(9590,plain,
% 8.31/5.90 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB3, constB4)) | (v98(constB4) <=> v1(constB3)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB3, constB4)) | (v98(constB4) <=> v1(constB3)))),
% 8.31/5.90 inference(rewrite,[status(thm)],[])).
% 8.31/5.90 tff(9591,plain,
% 8.31/5.90 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB3, constB4)) | (v98(constB4) <=> v1(constB3)))),
% 8.31/5.90 inference(quant_inst,[status(thm)],[])).
% 8.31/5.90 tff(9592,plain,
% 8.31/5.90 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB3, constB4)) | (v98(constB4) <=> v1(constB3))),
% 8.31/5.90 inference(modus_ponens,[status(thm)],[9591, 9590])).
% 8.31/5.90 tff(9593,plain,
% 8.31/5.90 (v98(constB4) <=> v1(constB3)),
% 8.31/5.90 inference(unit_resolution,[status(thm)],[9592, 9574, 874])).
% 8.31/5.90 tff(9594,plain,
% 8.31/5.90 ((~v1(constB3)) <=> (~v1(constB3))),
% 8.31/5.90 inference(rewrite,[status(thm)],[])).
% 8.31/5.90 tff(9595,axiom,(~v1(constB3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_3')).
% 8.31/5.90 tff(9596,plain,
% 8.31/5.90 (~v1(constB3)),
% 8.31/5.90 inference(modus_ponens,[status(thm)],[9595, 9594])).
% 8.31/5.90 tff(9597,plain,
% 8.31/5.90 ((~(v98(constB4) <=> v1(constB3))) | (~v98(constB4)) | v1(constB3)),
% 8.31/5.90 inference(tautology,[status(thm)],[])).
% 8.31/5.90 tff(9598,plain,
% 8.31/5.90 ((~(v98(constB4) <=> v1(constB3))) | (~v98(constB4))),
% 8.31/5.90 inference(unit_resolution,[status(thm)],[9597, 9596])).
% 8.31/5.90 tff(9599,plain,
% 8.31/5.90 (~v98(constB4)),
% 8.31/5.90 inference(unit_resolution,[status(thm)],[9598, 9593])).
% 8.31/5.90 tff(9600,plain,
% 8.31/5.90 ((~((~v96(constB4)) <=> v98(constB4))) | v96(constB4) | v98(constB4)),
% 8.31/5.90 inference(tautology,[status(thm)],[])).
% 8.31/5.90 tff(9601,plain,
% 8.31/5.90 (v96(constB4)),
% 8.31/5.90 inference(unit_resolution,[status(thm)],[9600, 9599, 9589])).
% 8.31/5.90 tff(9602,plain,
% 8.31/5.90 (v1(constB4) <=> v1(constB4)),
% 8.31/5.90 inference(rewrite,[status(thm)],[])).
% 8.31/5.90 tff(9603,axiom,(v1(constB4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_4')).
% 8.31/5.90 tff(9604,plain,
% 8.31/5.90 (v1(constB4)),
% 8.31/5.90 inference(modus_ponens,[status(thm)],[9603, 9602])).
% 8.31/5.90 tff(9605,plain,
% 8.31/5.90 ((~((~v1(constB4)) | (~v96(constB4)))) | (~v1(constB4)) | (~v96(constB4))),
% 8.31/5.90 inference(tautology,[status(thm)],[])).
% 8.31/5.90 tff(9606,plain,
% 8.31/5.90 ((~((~v1(constB4)) | (~v96(constB4)))) | (~v96(constB4))),
% 8.31/5.90 inference(unit_resolution,[status(thm)],[9605, 9604])).
% 8.31/5.90 tff(9607,plain,
% 8.31/5.90 (~((~v1(constB4)) | (~v96(constB4)))),
% 8.31/5.90 inference(unit_resolution,[status(thm)],[9606, 9601])).
% 8.31/5.90 tff(9608,plain,
% 8.31/5.90 ((~(v95(constB4) <=> (~((~v1(constB4)) | (~v96(constB4)))))) | v95(constB4) | ((~v1(constB4)) | (~v96(constB4)))),
% 8.31/5.90 inference(tautology,[status(thm)],[])).
% 8.31/5.90 tff(9609,plain,
% 8.31/5.90 (v95(constB4)),
% 8.31/5.90 inference(unit_resolution,[status(thm)],[9608, 9607, 9585])).
% 8.31/5.90 tff(9610,plain,
% 8.31/5.90 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB3, constB4)) | (v104(constB4) <=> v102(constB3)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB3, constB4)) | (v104(constB4) <=> v102(constB3)))),
% 8.31/5.90 inference(rewrite,[status(thm)],[])).
% 8.31/5.90 tff(9611,plain,
% 8.31/5.90 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB3, constB4)) | (v104(constB4) <=> v102(constB3)))),
% 8.31/5.90 inference(quant_inst,[status(thm)],[])).
% 8.31/5.90 tff(9612,plain,
% 8.31/5.90 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB3, constB4)) | (v104(constB4) <=> v102(constB3))),
% 8.31/5.90 inference(modus_ponens,[status(thm)],[9611, 9610])).
% 8.31/5.90 tff(9613,plain,
% 8.31/5.90 (v104(constB4) <=> v102(constB3)),
% 8.31/5.90 inference(unit_resolution,[status(thm)],[9612, 9574, 904])).
% 8.31/5.90 tff(9614,plain,
% 8.31/5.90 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB3) <=> (v105(constB3) | v106(constB3)))),
% 8.31/5.90 inference(quant_inst,[status(thm)],[])).
% 8.31/5.90 tff(9615,plain,
% 8.31/5.90 (v102(constB3) <=> (v105(constB3) | v106(constB3))),
% 8.31/5.90 inference(unit_resolution,[status(thm)],[9614, 915])).
% 8.31/5.90 tff(9616,plain,
% 8.31/5.90 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB3) <=> (~((~v107(constB3)) | (~v120(constB3)))))),
% 8.31/5.90 inference(quant_inst,[status(thm)],[])).
% 8.31/5.90 tff(9617,plain,
% 8.31/5.90 (v106(constB3) <=> (~((~v107(constB3)) | (~v120(constB3))))),
% 8.31/5.90 inference(unit_resolution,[status(thm)],[9616, 927])).
% 8.31/5.90 tff(9618,plain,
% 8.31/5.90 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB3) <=> (v108(constB3) | v119(constB3)))),
% 8.31/5.90 inference(quant_inst,[status(thm)],[])).
% 8.31/5.90 tff(9619,plain,
% 8.31/5.90 (v107(constB3) <=> (v108(constB3) | v119(constB3))),
% 8.31/5.90 inference(unit_resolution,[status(thm)],[9618, 936])).
% 8.31/5.90 tff(9620,plain,
% 8.31/5.90 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB3) <=> (v109(constB3) | v118(constB3)))),
% 8.31/5.90 inference(quant_inst,[status(thm)],[])).
% 8.31/5.90 tff(9621,plain,
% 8.31/5.90 (v108(constB3) <=> (v109(constB3) | v118(constB3))),
% 8.31/5.90 inference(unit_resolution,[status(thm)],[9620, 945])).
% 8.31/5.90 tff(9622,plain,
% 8.31/5.90 ((~![VarCurr: $i] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB3) <=> (v110(constB3) | v117(constB3)))),
% 8.31/5.90 inference(quant_inst,[status(thm)],[])).
% 8.31/5.90 tff(9623,plain,
% 8.31/5.90 (v109(constB3) <=> (v110(constB3) | v117(constB3))),
% 8.31/5.90 inference(unit_resolution,[status(thm)],[9622, 1056])).
% 8.31/5.90 tff(9624,plain,
% 8.31/5.90 ((~![VarCurr: $i] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB3) <=> (v111(constB3) | v116(constB3)))),
% 8.31/5.90 inference(quant_inst,[status(thm)],[])).
% 8.31/5.90 tff(9625,plain,
% 8.31/5.90 (v110(constB3) <=> (v111(constB3) | v116(constB3))),
% 8.31/5.90 inference(unit_resolution,[status(thm)],[9624, 1169])).
% 8.31/5.90 tff(9626,plain,
% 8.31/5.90 ((~![VarCurr: $i] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB3) <=> (v112(constB3) | v115(constB3)))),
% 8.31/5.90 inference(quant_inst,[status(thm)],[])).
% 8.31/5.90 tff(9627,plain,
% 8.31/5.90 (v111(constB3) <=> (v112(constB3) | v115(constB3))),
% 8.31/5.90 inference(unit_resolution,[status(thm)],[9626, 1279])).
% 8.31/5.90 tff(9628,plain,
% 8.31/5.90 ((~![VarCurr: $i] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))) | (v112(constB3) <=> (v113(constB3) | v114(constB3)))),
% 8.31/5.90 inference(quant_inst,[status(thm)],[])).
% 8.31/5.90 tff(9629,plain,
% 8.31/5.90 (v112(constB3) <=> (v113(constB3) | v114(constB3))),
% 8.31/5.90 inference(unit_resolution,[status(thm)],[9628, 1396])).
% 8.31/5.90 tff(9630,plain,
% 8.31/5.90 (((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB3) <=> (~(v84(constB3, bitIndex2) | v84(constB3, bitIndex1) | (~v84(constB3, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB3) <=> (~(v84(constB3, bitIndex2) | v84(constB3, bitIndex1) | (~v84(constB3, bitIndex0))))))),
% 8.31/5.90 inference(rewrite,[status(thm)],[])).
% 8.31/5.90 tff(9631,plain,
% 8.31/5.90 ((v114(constB3) <=> (~(v84(constB3, bitIndex1) | v84(constB3, bitIndex2) | (~v84(constB3, bitIndex0))))) <=> (v114(constB3) <=> (~(v84(constB3, bitIndex2) | v84(constB3, bitIndex1) | (~v84(constB3, bitIndex0)))))),
% 8.31/5.90 inference(rewrite,[status(thm)],[])).
% 8.31/5.90 tff(9632,plain,
% 8.31/5.90 (((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB3) <=> (~(v84(constB3, bitIndex1) | v84(constB3, bitIndex2) | (~v84(constB3, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB3) <=> (~(v84(constB3, bitIndex2) | v84(constB3, bitIndex1) | (~v84(constB3, bitIndex0))))))),
% 8.31/5.90 inference(monotonicity,[status(thm)],[9631])).
% 8.31/5.90 tff(9633,plain,
% 8.31/5.90 (((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB3) <=> (~(v84(constB3, bitIndex1) | v84(constB3, bitIndex2) | (~v84(constB3, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB3) <=> (~(v84(constB3, bitIndex2) | v84(constB3, bitIndex1) | (~v84(constB3, bitIndex0))))))),
% 8.31/5.90 inference(transitivity,[status(thm)],[9632, 9630])).
% 8.31/5.90 tff(9634,plain,
% 8.31/5.90 ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB3) <=> (~(v84(constB3, bitIndex1) | v84(constB3, bitIndex2) | (~v84(constB3, bitIndex0)))))),
% 8.31/5.90 inference(quant_inst,[status(thm)],[])).
% 8.31/5.90 tff(9635,plain,
% 8.31/5.90 ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB3) <=> (~(v84(constB3, bitIndex2) | v84(constB3, bitIndex1) | (~v84(constB3, bitIndex0)))))),
% 8.31/5.90 inference(modus_ponens,[status(thm)],[9634, 9633])).
% 8.31/5.90 tff(9636,plain,
% 8.31/5.90 (v114(constB3) <=> (~(v84(constB3, bitIndex2) | v84(constB3, bitIndex1) | (~v84(constB3, bitIndex0))))),
% 8.31/5.90 inference(unit_resolution,[status(thm)],[9635, 1411])).
% 8.31/5.90 tff(9637,plain,
% 8.31/5.90 (nextState(constB2, constB3) <=> nextState(constB2, constB3)),
% 8.31/5.90 inference(rewrite,[status(thm)],[])).
% 8.31/5.90 tff(9638,axiom,(nextState(constB2, constB3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_2')).
% 8.31/5.90 tff(9639,plain,
% 8.31/5.90 (nextState(constB2, constB3)),
% 8.31/5.90 inference(modus_ponens,[status(thm)],[9638, 9637])).
% 8.31/5.90 tff(9640,plain,
% 8.31/5.90 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB2, constB3)) | (v94(constB3) <=> (~((~v104(constB3)) | (~v95(constB3))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB2, constB3)) | (v94(constB3) <=> (~((~v104(constB3)) | (~v95(constB3))))))),
% 8.31/5.90 inference(rewrite,[status(thm)],[])).
% 8.31/5.90 tff(9641,plain,
% 8.31/5.90 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB2, constB3)) | (v94(constB3) <=> (~((~v104(constB3)) | (~v95(constB3))))))),
% 8.31/5.90 inference(quant_inst,[status(thm)],[])).
% 8.31/5.90 tff(9642,plain,
% 8.31/5.90 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB2, constB3)) | (v94(constB3) <=> (~((~v104(constB3)) | (~v95(constB3)))))),
% 8.31/5.91 inference(modus_ponens,[status(thm)],[9641, 9640])).
% 8.31/5.91 tff(9643,plain,
% 8.31/5.91 (v94(constB3) <=> (~((~v104(constB3)) | (~v95(constB3))))),
% 8.31/5.91 inference(unit_resolution,[status(thm)],[9642, 9639, 775])).
% 8.31/5.91 tff(9644,plain,
% 8.31/5.91 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB2, constB3)) | (v95(constB3) <=> (~((~v1(constB3)) | (~v96(constB3))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB2, constB3)) | (v95(constB3) <=> (~((~v1(constB3)) | (~v96(constB3))))))),
% 8.31/5.91 inference(rewrite,[status(thm)],[])).
% 8.31/5.91 tff(9645,plain,
% 8.31/5.91 (((~nextState(constB2, constB3)) | (v95(constB3) <=> (~((~v96(constB3)) | (~v1(constB3)))))) <=> ((~nextState(constB2, constB3)) | (v95(constB3) <=> (~((~v1(constB3)) | (~v96(constB3))))))),
% 8.31/5.91 inference(rewrite,[status(thm)],[])).
% 8.31/5.91 tff(9646,plain,
% 8.31/5.91 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB2, constB3)) | (v95(constB3) <=> (~((~v96(constB3)) | (~v1(constB3))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB2, constB3)) | (v95(constB3) <=> (~((~v1(constB3)) | (~v96(constB3)))))))),
% 8.31/5.91 inference(monotonicity,[status(thm)],[9645])).
% 8.31/5.91 tff(9647,plain,
% 8.31/5.91 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB2, constB3)) | (v95(constB3) <=> (~((~v96(constB3)) | (~v1(constB3))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB2, constB3)) | (v95(constB3) <=> (~((~v1(constB3)) | (~v96(constB3))))))),
% 8.31/5.91 inference(transitivity,[status(thm)],[9646, 9644])).
% 8.31/5.91 tff(9648,plain,
% 8.31/5.91 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB2, constB3)) | (v95(constB3) <=> (~((~v96(constB3)) | (~v1(constB3))))))),
% 8.31/5.91 inference(quant_inst,[status(thm)],[])).
% 8.31/5.91 tff(9649,plain,
% 8.31/5.91 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB2, constB3)) | (v95(constB3) <=> (~((~v1(constB3)) | (~v96(constB3)))))),
% 8.31/5.91 inference(modus_ponens,[status(thm)],[9648, 9647])).
% 8.31/5.91 tff(9650,plain,
% 8.31/5.91 (v95(constB3) <=> (~((~v1(constB3)) | (~v96(constB3))))),
% 8.31/5.91 inference(unit_resolution,[status(thm)],[9649, 9639, 795])).
% 8.31/5.91 tff(9651,plain,
% 8.31/5.91 (((~v1(constB3)) | (~v96(constB3))) | v1(constB3)),
% 8.31/5.91 inference(tautology,[status(thm)],[])).
% 8.31/5.91 tff(9652,plain,
% 8.31/5.91 ((~v1(constB3)) | (~v96(constB3))),
% 8.31/5.91 inference(unit_resolution,[status(thm)],[9651, 9596])).
% 8.31/5.91 tff(9653,plain,
% 8.31/5.91 ((~(v95(constB3) <=> (~((~v1(constB3)) | (~v96(constB3)))))) | (~v95(constB3)) | (~((~v1(constB3)) | (~v96(constB3))))),
% 8.31/5.91 inference(tautology,[status(thm)],[])).
% 8.31/5.91 tff(9654,plain,
% 8.31/5.91 ((~(v95(constB3) <=> (~((~v1(constB3)) | (~v96(constB3)))))) | (~v95(constB3))),
% 8.31/5.91 inference(unit_resolution,[status(thm)],[9653, 9652])).
% 8.31/5.91 tff(9655,plain,
% 8.31/5.91 (~v95(constB3)),
% 8.31/5.91 inference(unit_resolution,[status(thm)],[9654, 9650])).
% 8.31/5.91 tff(9656,plain,
% 8.31/5.91 (((~v104(constB3)) | (~v95(constB3))) | v95(constB3)),
% 8.31/5.91 inference(tautology,[status(thm)],[])).
% 8.31/5.91 tff(9657,plain,
% 8.31/5.91 ((~v104(constB3)) | (~v95(constB3))),
% 8.31/5.91 inference(unit_resolution,[status(thm)],[9656, 9655])).
% 8.31/5.91 tff(9658,plain,
% 8.31/5.91 ((~(v94(constB3) <=> (~((~v104(constB3)) | (~v95(constB3)))))) | (~v94(constB3)) | (~((~v104(constB3)) | (~v95(constB3))))),
% 8.31/5.91 inference(tautology,[status(thm)],[])).
% 8.31/5.91 tff(9659,plain,
% 8.31/5.91 (~v94(constB3)),
% 8.31/5.91 inference(unit_resolution,[status(thm)],[9658, 9657, 9643])).
% 8.31/5.91 tff(9660,plain,
% 8.31/5.91 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB3) | (~nextState(constB2, constB3)) | ![B: $i] : ((~less_3(B)) | (v84(constB3, B) <=> v84(constB2, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB3) | (~nextState(constB2, constB3)) | ![B: $i] : ((~less_3(B)) | (v84(constB3, B) <=> v84(constB2, B))))),
% 8.31/5.91 inference(rewrite,[status(thm)],[])).
% 8.31/5.91 tff(9661,plain,
% 8.31/5.91 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB3) | (~nextState(constB2, constB3)) | ![B: $i] : ((~less_3(B)) | (v84(constB3, B) <=> v84(constB2, B))))),
% 8.31/5.91 inference(quant_inst,[status(thm)],[])).
% 8.31/5.91 tff(9662,plain,
% 8.31/5.91 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB3) | (~nextState(constB2, constB3)) | ![B: $i] : ((~less_3(B)) | (v84(constB3, B) <=> v84(constB2, B)))),
% 8.31/5.91 inference(modus_ponens,[status(thm)],[9661, 9660])).
% 8.31/5.91 tff(9663,plain,
% 8.31/5.91 (v94(constB3) | ![B: $i] : ((~less_3(B)) | (v84(constB3, B) <=> v84(constB2, B)))),
% 8.31/5.91 inference(unit_resolution,[status(thm)],[9662, 9639, 824])).
% 8.31/5.91 tff(9664,plain,
% 8.31/5.91 (![B: $i] : ((~less_3(B)) | (v84(constB3, B) <=> v84(constB2, B)))),
% 8.31/5.91 inference(unit_resolution,[status(thm)],[9663, 9659])).
% 8.31/5.91 tff(9665,plain,
% 8.31/5.91 (((~![B: $i] : ((~less_3(B)) | (v84(constB3, B) <=> v84(constB2, B)))) | ((~less_3(bitIndex2)) | (v84(constB3, bitIndex2) <=> v84(constB2, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB3, B) <=> v84(constB2, B)))) | (~less_3(bitIndex2)) | (v84(constB3, bitIndex2) <=> v84(constB2, bitIndex2)))),
% 8.31/5.91 inference(rewrite,[status(thm)],[])).
% 8.31/5.91 tff(9666,plain,
% 8.31/5.91 ((~![B: $i] : ((~less_3(B)) | (v84(constB3, B) <=> v84(constB2, B)))) | ((~less_3(bitIndex2)) | (v84(constB3, bitIndex2) <=> v84(constB2, bitIndex2)))),
% 8.31/5.91 inference(quant_inst,[status(thm)],[])).
% 8.31/5.91 tff(9667,plain,
% 8.31/5.91 ((~![B: $i] : ((~less_3(B)) | (v84(constB3, B) <=> v84(constB2, B)))) | (~less_3(bitIndex2)) | (v84(constB3, bitIndex2) <=> v84(constB2, bitIndex2))),
% 8.31/5.91 inference(modus_ponens,[status(thm)],[9666, 9665])).
% 8.31/5.91 tff(9668,plain,
% 8.31/5.91 (v84(constB3, bitIndex2) <=> v84(constB2, bitIndex2)),
% 8.31/5.91 inference(unit_resolution,[status(thm)],[9667, 832, 9664])).
% 8.31/5.91 tff(9669,plain,
% 8.31/5.91 (nextState(constB1, constB2) <=> nextState(constB1, constB2)),
% 8.31/5.91 inference(rewrite,[status(thm)],[])).
% 8.31/5.91 tff(9670,axiom,(nextState(constB1, constB2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom_1')).
% 8.31/5.91 tff(9671,plain,
% 8.31/5.91 (nextState(constB1, constB2)),
% 8.31/5.91 inference(modus_ponens,[status(thm)],[9670, 9669])).
% 8.31/5.91 tff(9672,plain,
% 8.31/5.91 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB1, constB2)) | (v94(constB2) <=> (~((~v104(constB2)) | (~v95(constB2))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB1, constB2)) | (v94(constB2) <=> (~((~v104(constB2)) | (~v95(constB2))))))),
% 8.31/5.91 inference(rewrite,[status(thm)],[])).
% 8.31/5.91 tff(9673,plain,
% 8.31/5.91 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB1, constB2)) | (v94(constB2) <=> (~((~v104(constB2)) | (~v95(constB2))))))),
% 8.31/5.91 inference(quant_inst,[status(thm)],[])).
% 8.31/5.91 tff(9674,plain,
% 8.31/5.91 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB1, constB2)) | (v94(constB2) <=> (~((~v104(constB2)) | (~v95(constB2)))))),
% 8.31/5.91 inference(modus_ponens,[status(thm)],[9673, 9672])).
% 8.31/5.91 tff(9675,plain,
% 8.31/5.91 (v94(constB2) <=> (~((~v104(constB2)) | (~v95(constB2))))),
% 8.31/5.91 inference(unit_resolution,[status(thm)],[9674, 9671, 775])).
% 8.31/5.91 tff(9676,plain,
% 8.31/5.91 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB1, constB2)) | (v95(constB2) <=> (~((~v1(constB2)) | (~v96(constB2))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB1, constB2)) | (v95(constB2) <=> (~((~v1(constB2)) | (~v96(constB2))))))),
% 8.31/5.91 inference(rewrite,[status(thm)],[])).
% 8.31/5.91 tff(9677,plain,
% 8.31/5.91 (((~nextState(constB1, constB2)) | (v95(constB2) <=> (~((~v96(constB2)) | (~v1(constB2)))))) <=> ((~nextState(constB1, constB2)) | (v95(constB2) <=> (~((~v1(constB2)) | (~v96(constB2))))))),
% 8.31/5.91 inference(rewrite,[status(thm)],[])).
% 8.31/5.91 tff(9678,plain,
% 8.31/5.91 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB1, constB2)) | (v95(constB2) <=> (~((~v96(constB2)) | (~v1(constB2))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB1, constB2)) | (v95(constB2) <=> (~((~v1(constB2)) | (~v96(constB2)))))))),
% 8.31/5.91 inference(monotonicity,[status(thm)],[9677])).
% 8.31/5.91 tff(9679,plain,
% 8.31/5.91 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB1, constB2)) | (v95(constB2) <=> (~((~v96(constB2)) | (~v1(constB2))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB1, constB2)) | (v95(constB2) <=> (~((~v1(constB2)) | (~v96(constB2))))))),
% 8.31/5.91 inference(transitivity,[status(thm)],[9678, 9676])).
% 8.31/5.91 tff(9680,plain,
% 8.31/5.91 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB1, constB2)) | (v95(constB2) <=> (~((~v96(constB2)) | (~v1(constB2))))))),
% 8.31/5.91 inference(quant_inst,[status(thm)],[])).
% 8.31/5.91 tff(9681,plain,
% 8.31/5.91 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB1, constB2)) | (v95(constB2) <=> (~((~v1(constB2)) | (~v96(constB2)))))),
% 8.31/5.91 inference(modus_ponens,[status(thm)],[9680, 9679])).
% 8.31/5.91 tff(9682,plain,
% 8.31/5.91 (v95(constB2) <=> (~((~v1(constB2)) | (~v96(constB2))))),
% 8.31/5.91 inference(unit_resolution,[status(thm)],[9681, 9671, 795])).
% 8.31/5.91 tff(9683,plain,
% 8.31/5.91 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB1, constB2)) | ((~v96(constB2)) <=> v98(constB2)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB1, constB2)) | ((~v96(constB2)) <=> v98(constB2)))),
% 8.31/5.91 inference(rewrite,[status(thm)],[])).
% 8.31/5.91 tff(9684,plain,
% 8.31/5.91 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | ((~nextState(constB1, constB2)) | ((~v96(constB2)) <=> v98(constB2)))),
% 8.31/5.91 inference(quant_inst,[status(thm)],[])).
% 8.31/5.91 tff(9685,plain,
% 8.31/5.91 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ((~v96(VarNext)) <=> v98(VarNext)))) | (~nextState(constB1, constB2)) | ((~v96(constB2)) <=> v98(constB2))),
% 8.31/5.91 inference(modus_ponens,[status(thm)],[9684, 9683])).
% 8.31/5.91 tff(9686,plain,
% 8.31/5.91 ((~v96(constB2)) <=> v98(constB2)),
% 8.31/5.91 inference(unit_resolution,[status(thm)],[9685, 9671, 860])).
% 8.31/5.91 tff(9687,plain,
% 8.31/5.91 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB1, constB2)) | (v98(constB2) <=> v1(constB1)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB1, constB2)) | (v98(constB2) <=> v1(constB1)))),
% 8.31/5.91 inference(rewrite,[status(thm)],[])).
% 8.31/5.91 tff(9688,plain,
% 8.31/5.91 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | ((~nextState(constB1, constB2)) | (v98(constB2) <=> v1(constB1)))),
% 8.31/5.91 inference(quant_inst,[status(thm)],[])).
% 8.31/5.91 tff(9689,plain,
% 8.31/5.91 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v98(VarNext) <=> v1(VarCurr)))) | (~nextState(constB1, constB2)) | (v98(constB2) <=> v1(constB1))),
% 8.31/5.91 inference(modus_ponens,[status(thm)],[9688, 9687])).
% 8.31/5.91 tff(9690,plain,
% 8.31/5.91 (v98(constB2) <=> v1(constB1)),
% 8.31/5.91 inference(unit_resolution,[status(thm)],[9689, 9671, 874])).
% 8.31/5.91 tff(9691,plain,
% 8.31/5.91 ((~v1(constB1)) <=> (~v1(constB1))),
% 8.31/5.91 inference(rewrite,[status(thm)],[])).
% 8.31/5.91 tff(9692,axiom,(~v1(constB1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_1')).
% 8.31/5.91 tff(9693,plain,
% 8.31/5.91 (~v1(constB1)),
% 8.31/5.91 inference(modus_ponens,[status(thm)],[9692, 9691])).
% 8.31/5.91 tff(9694,plain,
% 8.31/5.91 ((~(v98(constB2) <=> v1(constB1))) | (~v98(constB2)) | v1(constB1)),
% 8.31/5.91 inference(tautology,[status(thm)],[])).
% 8.31/5.91 tff(9695,plain,
% 8.31/5.91 ((~(v98(constB2) <=> v1(constB1))) | (~v98(constB2))),
% 8.31/5.91 inference(unit_resolution,[status(thm)],[9694, 9693])).
% 8.31/5.91 tff(9696,plain,
% 8.31/5.91 (~v98(constB2)),
% 8.31/5.91 inference(unit_resolution,[status(thm)],[9695, 9690])).
% 8.31/5.91 tff(9697,plain,
% 8.31/5.91 ((~((~v96(constB2)) <=> v98(constB2))) | v96(constB2) | v98(constB2)),
% 8.31/5.91 inference(tautology,[status(thm)],[])).
% 8.31/5.91 tff(9698,plain,
% 8.31/5.91 (v96(constB2)),
% 8.31/5.91 inference(unit_resolution,[status(thm)],[9697, 9696, 9686])).
% 8.31/5.91 tff(9699,plain,
% 8.31/5.91 (v1(constB2) <=> v1(constB2)),
% 8.31/5.91 inference(rewrite,[status(thm)],[])).
% 8.31/5.91 tff(9700,axiom,(v1(constB2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clock_pattern_2')).
% 8.31/5.91 tff(9701,plain,
% 8.31/5.91 (v1(constB2)),
% 8.31/5.91 inference(modus_ponens,[status(thm)],[9700, 9699])).
% 8.31/5.91 tff(9702,plain,
% 8.31/5.91 ((~((~v1(constB2)) | (~v96(constB2)))) | (~v1(constB2)) | (~v96(constB2))),
% 8.31/5.91 inference(tautology,[status(thm)],[])).
% 8.31/5.91 tff(9703,plain,
% 8.31/5.91 ((~((~v1(constB2)) | (~v96(constB2)))) | (~v96(constB2))),
% 8.31/5.91 inference(unit_resolution,[status(thm)],[9702, 9701])).
% 8.31/5.91 tff(9704,plain,
% 8.31/5.91 (~((~v1(constB2)) | (~v96(constB2)))),
% 8.31/5.91 inference(unit_resolution,[status(thm)],[9703, 9698])).
% 8.31/5.91 tff(9705,plain,
% 8.31/5.91 ((~(v95(constB2) <=> (~((~v1(constB2)) | (~v96(constB2)))))) | v95(constB2) | ((~v1(constB2)) | (~v96(constB2)))),
% 8.31/5.91 inference(tautology,[status(thm)],[])).
% 8.31/5.91 tff(9706,plain,
% 8.31/5.91 (v95(constB2)),
% 8.31/5.91 inference(unit_resolution,[status(thm)],[9705, 9704, 9682])).
% 8.31/5.91 tff(9707,plain,
% 8.31/5.91 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB1, constB2)) | (v104(constB2) <=> v102(constB1)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB1, constB2)) | (v104(constB2) <=> v102(constB1)))),
% 8.31/5.91 inference(rewrite,[status(thm)],[])).
% 8.31/5.91 tff(9708,plain,
% 8.31/5.91 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | ((~nextState(constB1, constB2)) | (v104(constB2) <=> v102(constB1)))),
% 8.31/5.91 inference(quant_inst,[status(thm)],[])).
% 8.31/5.91 tff(9709,plain,
% 8.31/5.91 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v104(VarNext) <=> v102(VarCurr)))) | (~nextState(constB1, constB2)) | (v104(constB2) <=> v102(constB1))),
% 8.31/5.91 inference(modus_ponens,[status(thm)],[9708, 9707])).
% 8.31/5.91 tff(9710,plain,
% 8.31/5.91 (v104(constB2) <=> v102(constB1)),
% 8.31/5.91 inference(unit_resolution,[status(thm)],[9709, 9671, 904])).
% 8.31/5.91 tff(9711,plain,
% 8.31/5.91 ((~![VarCurr: $i] : (v102(VarCurr) <=> (v105(VarCurr) | v106(VarCurr)))) | (v102(constB1) <=> (v105(constB1) | v106(constB1)))),
% 8.31/5.91 inference(quant_inst,[status(thm)],[])).
% 8.31/5.91 tff(9712,plain,
% 8.31/5.91 (v102(constB1) <=> (v105(constB1) | v106(constB1))),
% 8.31/5.91 inference(unit_resolution,[status(thm)],[9711, 915])).
% 8.31/5.91 tff(9713,plain,
% 8.31/5.91 ((~![VarCurr: $i] : (v106(VarCurr) <=> (~((~v107(VarCurr)) | (~v120(VarCurr)))))) | (v106(constB1) <=> (~((~v107(constB1)) | (~v120(constB1)))))),
% 8.31/5.91 inference(quant_inst,[status(thm)],[])).
% 8.31/5.91 tff(9714,plain,
% 8.31/5.91 (v106(constB1) <=> (~((~v107(constB1)) | (~v120(constB1))))),
% 8.31/5.91 inference(unit_resolution,[status(thm)],[9713, 927])).
% 8.31/5.91 tff(9715,plain,
% 8.31/5.91 ((~![VarCurr: $i] : (v107(VarCurr) <=> (v108(VarCurr) | v119(VarCurr)))) | (v107(constB1) <=> (v108(constB1) | v119(constB1)))),
% 8.31/5.91 inference(quant_inst,[status(thm)],[])).
% 8.31/5.91 tff(9716,plain,
% 8.31/5.91 (v107(constB1) <=> (v108(constB1) | v119(constB1))),
% 8.31/5.91 inference(unit_resolution,[status(thm)],[9715, 936])).
% 8.31/5.91 tff(9717,plain,
% 8.31/5.91 ((~![VarCurr: $i] : (v108(VarCurr) <=> (v109(VarCurr) | v118(VarCurr)))) | (v108(constB1) <=> (v109(constB1) | v118(constB1)))),
% 8.31/5.91 inference(quant_inst,[status(thm)],[])).
% 8.31/5.91 tff(9718,plain,
% 8.31/5.91 (v108(constB1) <=> (v109(constB1) | v118(constB1))),
% 8.31/5.91 inference(unit_resolution,[status(thm)],[9717, 945])).
% 8.31/5.91 tff(9719,plain,
% 8.31/5.91 ((~![VarCurr: $i] : (v109(VarCurr) <=> (v110(VarCurr) | v117(VarCurr)))) | (v109(constB1) <=> (v110(constB1) | v117(constB1)))),
% 8.31/5.91 inference(quant_inst,[status(thm)],[])).
% 8.31/5.91 tff(9720,plain,
% 8.31/5.91 (v109(constB1) <=> (v110(constB1) | v117(constB1))),
% 8.31/5.91 inference(unit_resolution,[status(thm)],[9719, 1056])).
% 8.31/5.91 tff(9721,plain,
% 8.31/5.91 ((~![VarCurr: $i] : (v110(VarCurr) <=> (v111(VarCurr) | v116(VarCurr)))) | (v110(constB1) <=> (v111(constB1) | v116(constB1)))),
% 8.31/5.91 inference(quant_inst,[status(thm)],[])).
% 8.31/5.91 tff(9722,plain,
% 8.31/5.91 (v110(constB1) <=> (v111(constB1) | v116(constB1))),
% 8.31/5.91 inference(unit_resolution,[status(thm)],[9721, 1169])).
% 8.31/5.91 tff(9723,plain,
% 8.31/5.91 ((~![VarCurr: $i] : (v111(VarCurr) <=> (v112(VarCurr) | v115(VarCurr)))) | (v111(constB1) <=> (v112(constB1) | v115(constB1)))),
% 8.31/5.91 inference(quant_inst,[status(thm)],[])).
% 8.31/5.91 tff(9724,plain,
% 8.31/5.91 (v111(constB1) <=> (v112(constB1) | v115(constB1))),
% 8.31/5.91 inference(unit_resolution,[status(thm)],[9723, 1279])).
% 8.31/5.91 tff(9725,plain,
% 8.31/5.91 ((~![VarCurr: $i] : (v112(VarCurr) <=> (v113(VarCurr) | v114(VarCurr)))) | (v112(constB1) <=> (v113(constB1) | v114(constB1)))),
% 8.31/5.91 inference(quant_inst,[status(thm)],[])).
% 8.31/5.91 tff(9726,plain,
% 8.31/5.91 (v112(constB1) <=> (v113(constB1) | v114(constB1))),
% 8.31/5.91 inference(unit_resolution,[status(thm)],[9725, 1396])).
% 8.31/5.91 tff(9727,plain,
% 8.31/5.91 (^[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)))))),
% 8.31/5.91 inference(bind,[status(th)],[])).
% 8.31/5.91 tff(9728,plain,
% 8.31/5.91 (![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))))),
% 8.31/5.91 inference(quant_intro,[status(thm)],[9727])).
% 8.31/5.91 tff(9729,plain,
% 8.31/5.91 (^[VarCurr: $i] : rewrite((v113(VarCurr) <=> ((~v84(VarCurr, bitIndex2)) & (~v84(VarCurr, bitIndex1)) & (~v84(VarCurr, bitIndex0)))) <=> (v113(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2)))))),
% 8.31/5.91 inference(bind,[status(th)],[])).
% 8.31/5.91 tff(9730,plain,
% 8.31/5.91 (![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))))),
% 8.31/5.91 inference(quant_intro,[status(thm)],[9729])).
% 8.31/5.91 tff(9731,plain,
% 8.31/5.91 (![VarCurr: $i] : (v113(VarCurr) <=> ((~v84(VarCurr, bitIndex2)) & (~v84(VarCurr, bitIndex1)) & (~v84(VarCurr, bitIndex0)))) <=> ![VarCurr: $i] : (v113(VarCurr) <=> ((~v84(VarCurr, bitIndex2)) & (~v84(VarCurr, bitIndex1)) & (~v84(VarCurr, bitIndex0))))),
% 8.31/5.91 inference(rewrite,[status(thm)],[])).
% 8.31/5.91 tff(9732,plain,
% 8.31/5.91 (^[VarCurr: $i] : rewrite((v113(VarCurr) <=> (((v84(VarCurr, bitIndex2) <=> $false) & (v84(VarCurr, bitIndex1) <=> $false)) & (v84(VarCurr, bitIndex0) <=> $false))) <=> (v113(VarCurr) <=> ((~v84(VarCurr, bitIndex2)) & (~v84(VarCurr, bitIndex1)) & (~v84(VarCurr, bitIndex0)))))),
% 8.31/5.91 inference(bind,[status(th)],[])).
% 8.31/5.91 tff(9733,plain,
% 8.31/5.91 (![VarCurr: $i] : (v113(VarCurr) <=> (((v84(VarCurr, bitIndex2) <=> $false) & (v84(VarCurr, bitIndex1) <=> $false)) & (v84(VarCurr, bitIndex0) <=> $false))) <=> ![VarCurr: $i] : (v113(VarCurr) <=> ((~v84(VarCurr, bitIndex2)) & (~v84(VarCurr, bitIndex1)) & (~v84(VarCurr, bitIndex0))))),
% 8.31/5.91 inference(quant_intro,[status(thm)],[9732])).
% 8.31/5.91 tff(9734,axiom,(![VarCurr: $i] : (v113(VarCurr) <=> (((v84(VarCurr, bitIndex2) <=> $false) & (v84(VarCurr, bitIndex1) <=> $false)) & (v84(VarCurr, bitIndex0) <=> $false)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_2')).
% 8.31/5.91 tff(9735,plain,
% 8.31/5.91 (![VarCurr: $i] : (v113(VarCurr) <=> ((~v84(VarCurr, bitIndex2)) & (~v84(VarCurr, bitIndex1)) & (~v84(VarCurr, bitIndex0))))),
% 8.31/5.91 inference(modus_ponens,[status(thm)],[9734, 9733])).
% 8.31/5.91 tff(9736,plain,
% 8.31/5.91 (![VarCurr: $i] : (v113(VarCurr) <=> ((~v84(VarCurr, bitIndex2)) & (~v84(VarCurr, bitIndex1)) & (~v84(VarCurr, bitIndex0))))),
% 8.31/5.91 inference(modus_ponens,[status(thm)],[9735, 9731])).
% 8.31/5.91 tff(9737,plain,(
% 8.31/5.91 ![VarCurr: $i] : (v113(VarCurr) <=> ((~v84(VarCurr, bitIndex2)) & (~v84(VarCurr, bitIndex1)) & (~v84(VarCurr, bitIndex0))))),
% 8.31/5.91 inference(skolemize,[status(sab)],[9736])).
% 8.31/5.91 tff(9738,plain,
% 8.31/5.91 (![VarCurr: $i] : (v113(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))))),
% 8.31/5.91 inference(modus_ponens,[status(thm)],[9737, 9730])).
% 8.31/5.91 tff(9739,plain,
% 8.31/5.91 (![VarCurr: $i] : (v113(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))))),
% 8.31/5.91 inference(modus_ponens,[status(thm)],[9738, 9728])).
% 8.31/5.91 tff(9740,plain,
% 8.31/5.91 ((~![VarCurr: $i] : (v113(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))))) | (v113(constB1) <=> (~(v84(constB1, bitIndex0) | v84(constB1, bitIndex1) | v84(constB1, bitIndex2))))),
% 8.31/5.91 inference(quant_inst,[status(thm)],[])).
% 8.31/5.91 tff(9741,plain,
% 8.31/5.91 (v113(constB1) <=> (~(v84(constB1, bitIndex0) | v84(constB1, bitIndex1) | v84(constB1, bitIndex2)))),
% 8.31/5.91 inference(unit_resolution,[status(thm)],[9740, 9739])).
% 8.31/5.91 tff(9742,plain,
% 8.31/5.91 (nextState(constB0, constB1) <=> nextState(constB0, constB1)),
% 8.31/5.91 inference(rewrite,[status(thm)],[])).
% 8.31/5.91 tff(9743,axiom,(nextState(constB0, constB1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pathAxiom')).
% 8.31/5.91 tff(9744,plain,
% 8.31/5.91 (nextState(constB0, constB1)),
% 8.31/5.91 inference(modus_ponens,[status(thm)],[9743, 9742])).
% 8.31/5.91 tff(9745,plain,
% 8.31/5.91 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB0, constB1)) | (v94(constB1) <=> (~((~v104(constB1)) | (~v95(constB1))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB0, constB1)) | (v94(constB1) <=> (~((~v104(constB1)) | (~v95(constB1))))))),
% 8.31/5.91 inference(rewrite,[status(thm)],[])).
% 8.31/5.91 tff(9746,plain,
% 8.31/5.91 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | ((~nextState(constB0, constB1)) | (v94(constB1) <=> (~((~v104(constB1)) | (~v95(constB1))))))),
% 8.31/5.91 inference(quant_inst,[status(thm)],[])).
% 8.31/5.91 tff(9747,plain,
% 8.31/5.91 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v94(VarNext) <=> (~((~v104(VarNext)) | (~v95(VarNext))))))) | (~nextState(constB0, constB1)) | (v94(constB1) <=> (~((~v104(constB1)) | (~v95(constB1)))))),
% 8.31/5.91 inference(modus_ponens,[status(thm)],[9746, 9745])).
% 8.31/5.91 tff(9748,plain,
% 8.31/5.91 (v94(constB1) <=> (~((~v104(constB1)) | (~v95(constB1))))),
% 8.31/5.91 inference(unit_resolution,[status(thm)],[9747, 9744, 775])).
% 8.31/5.91 tff(9749,plain,
% 8.31/5.91 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB0, constB1)) | (v95(constB1) <=> (~((~v1(constB1)) | (~v96(constB1))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB0, constB1)) | (v95(constB1) <=> (~((~v1(constB1)) | (~v96(constB1))))))),
% 8.31/5.91 inference(rewrite,[status(thm)],[])).
% 8.31/5.91 tff(9750,plain,
% 8.31/5.91 (((~nextState(constB0, constB1)) | (v95(constB1) <=> (~((~v96(constB1)) | (~v1(constB1)))))) <=> ((~nextState(constB0, constB1)) | (v95(constB1) <=> (~((~v1(constB1)) | (~v96(constB1))))))),
% 8.31/5.91 inference(rewrite,[status(thm)],[])).
% 8.31/5.91 tff(9751,plain,
% 8.31/5.91 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB0, constB1)) | (v95(constB1) <=> (~((~v96(constB1)) | (~v1(constB1))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB0, constB1)) | (v95(constB1) <=> (~((~v1(constB1)) | (~v96(constB1)))))))),
% 8.31/5.91 inference(monotonicity,[status(thm)],[9750])).
% 8.31/5.91 tff(9752,plain,
% 8.31/5.91 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB0, constB1)) | (v95(constB1) <=> (~((~v96(constB1)) | (~v1(constB1))))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB0, constB1)) | (v95(constB1) <=> (~((~v1(constB1)) | (~v96(constB1))))))),
% 8.31/5.91 inference(transitivity,[status(thm)],[9751, 9749])).
% 8.31/5.91 tff(9753,plain,
% 8.31/5.91 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | ((~nextState(constB0, constB1)) | (v95(constB1) <=> (~((~v96(constB1)) | (~v1(constB1))))))),
% 8.31/5.91 inference(quant_inst,[status(thm)],[])).
% 8.31/5.91 tff(9754,plain,
% 8.31/5.91 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v95(VarNext) <=> (~((~v96(VarNext)) | (~v1(VarNext))))))) | (~nextState(constB0, constB1)) | (v95(constB1) <=> (~((~v1(constB1)) | (~v96(constB1)))))),
% 8.31/5.91 inference(modus_ponens,[status(thm)],[9753, 9752])).
% 8.31/5.91 tff(9755,plain,
% 8.31/5.91 (v95(constB1) <=> (~((~v1(constB1)) | (~v96(constB1))))),
% 8.31/5.91 inference(unit_resolution,[status(thm)],[9754, 9744, 795])).
% 8.31/5.91 tff(9756,plain,
% 8.31/5.91 (((~v1(constB1)) | (~v96(constB1))) | v1(constB1)),
% 8.31/5.91 inference(tautology,[status(thm)],[])).
% 8.31/5.91 tff(9757,plain,
% 8.31/5.91 ((~v1(constB1)) | (~v96(constB1))),
% 8.31/5.91 inference(unit_resolution,[status(thm)],[9756, 9693])).
% 8.31/5.91 tff(9758,plain,
% 8.31/5.91 ((~(v95(constB1) <=> (~((~v1(constB1)) | (~v96(constB1)))))) | (~v95(constB1)) | (~((~v1(constB1)) | (~v96(constB1))))),
% 8.31/5.91 inference(tautology,[status(thm)],[])).
% 8.31/5.91 tff(9759,plain,
% 8.31/5.91 ((~(v95(constB1) <=> (~((~v1(constB1)) | (~v96(constB1)))))) | (~v95(constB1))),
% 8.31/5.91 inference(unit_resolution,[status(thm)],[9758, 9757])).
% 8.31/5.91 tff(9760,plain,
% 8.31/5.91 (~v95(constB1)),
% 8.31/5.91 inference(unit_resolution,[status(thm)],[9759, 9755])).
% 8.31/5.91 tff(9761,plain,
% 8.31/5.91 (((~v104(constB1)) | (~v95(constB1))) | v95(constB1)),
% 8.31/5.91 inference(tautology,[status(thm)],[])).
% 8.31/5.91 tff(9762,plain,
% 8.31/5.91 ((~v104(constB1)) | (~v95(constB1))),
% 8.31/5.91 inference(unit_resolution,[status(thm)],[9761, 9760])).
% 8.31/5.91 tff(9763,plain,
% 8.31/5.91 ((~(v94(constB1) <=> (~((~v104(constB1)) | (~v95(constB1)))))) | (~v94(constB1)) | (~((~v104(constB1)) | (~v95(constB1))))),
% 8.31/5.91 inference(tautology,[status(thm)],[])).
% 8.31/5.91 tff(9764,plain,
% 8.31/5.91 (~v94(constB1)),
% 8.31/5.91 inference(unit_resolution,[status(thm)],[9763, 9762, 9748])).
% 8.31/5.91 tff(9765,plain,
% 8.31/5.91 (((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB1) | (~nextState(constB0, constB1)) | ![B: $i] : ((~less_3(B)) | (v84(constB1, B) <=> v84(constB0, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB1) | (~nextState(constB0, constB1)) | ![B: $i] : ((~less_3(B)) | (v84(constB1, B) <=> v84(constB0, B))))),
% 8.31/5.91 inference(rewrite,[status(thm)],[])).
% 8.31/5.91 tff(9766,plain,
% 8.31/5.91 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | (v94(constB1) | (~nextState(constB0, constB1)) | ![B: $i] : ((~less_3(B)) | (v84(constB1, B) <=> v84(constB0, B))))),
% 8.31/5.91 inference(quant_inst,[status(thm)],[])).
% 8.31/5.91 tff(9767,plain,
% 8.31/5.91 ((~![VarCurr: $i, VarNext: $i] : (v94(VarNext) | (~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v84(VarCurr, B))))) | v94(constB1) | (~nextState(constB0, constB1)) | ![B: $i] : ((~less_3(B)) | (v84(constB1, B) <=> v84(constB0, B)))),
% 8.31/5.91 inference(modus_ponens,[status(thm)],[9766, 9765])).
% 8.31/5.91 tff(9768,plain,
% 8.31/5.91 (v94(constB1) | ![B: $i] : ((~less_3(B)) | (v84(constB1, B) <=> v84(constB0, B)))),
% 8.31/5.91 inference(unit_resolution,[status(thm)],[9767, 9744, 824])).
% 8.31/5.91 tff(9769,plain,
% 8.31/5.91 (![B: $i] : ((~less_3(B)) | (v84(constB1, B) <=> v84(constB0, B)))),
% 8.31/5.91 inference(unit_resolution,[status(thm)],[9768, 9764])).
% 8.31/5.91 tff(9770,plain,
% 8.31/5.91 (less_3(bitIndex0) <=> less_3(bitIndex0)),
% 8.31/5.91 inference(rewrite,[status(thm)],[])).
% 8.31/5.91 tff(9771,axiom,(less_3(bitIndex0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','lessPredicateGroundAxiom_3')).
% 8.31/5.91 tff(9772,plain,
% 8.31/5.91 (less_3(bitIndex0)),
% 8.31/5.91 inference(modus_ponens,[status(thm)],[9771, 9770])).
% 8.31/5.91 tff(9773,plain,
% 8.31/5.91 (((~![B: $i] : ((~less_3(B)) | (v84(constB1, B) <=> v84(constB0, B)))) | ((~less_3(bitIndex0)) | (v84(constB1, bitIndex0) <=> v84(constB0, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB1, B) <=> v84(constB0, B)))) | (~less_3(bitIndex0)) | (v84(constB1, bitIndex0) <=> v84(constB0, bitIndex0)))),
% 8.31/5.91 inference(rewrite,[status(thm)],[])).
% 8.31/5.91 tff(9774,plain,
% 8.31/5.91 ((~![B: $i] : ((~less_3(B)) | (v84(constB1, B) <=> v84(constB0, B)))) | ((~less_3(bitIndex0)) | (v84(constB1, bitIndex0) <=> v84(constB0, bitIndex0)))),
% 8.31/5.91 inference(quant_inst,[status(thm)],[])).
% 8.31/5.91 tff(9775,plain,
% 8.31/5.91 ((~![B: $i] : ((~less_3(B)) | (v84(constB1, B) <=> v84(constB0, B)))) | (~less_3(bitIndex0)) | (v84(constB1, bitIndex0) <=> v84(constB0, bitIndex0))),
% 8.31/5.91 inference(modus_ponens,[status(thm)],[9774, 9773])).
% 8.31/5.91 tff(9776,plain,
% 8.31/5.91 (v84(constB1, bitIndex0) <=> v84(constB0, bitIndex0)),
% 8.31/5.91 inference(unit_resolution,[status(thm)],[9775, 9772, 9769])).
% 8.31/5.91 tff(9777,plain,
% 8.31/5.91 ((~v84(constB0, bitIndex0)) <=> (~v84(constB0, bitIndex0))),
% 8.31/5.91 inference(rewrite,[status(thm)],[])).
% 8.31/5.91 tff(9778,axiom,(~v84(constB0, bitIndex0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignmentInitValue_2')).
% 8.31/5.91 tff(9779,plain,
% 8.31/5.91 (~v84(constB0, bitIndex0)),
% 8.31/5.91 inference(modus_ponens,[status(thm)],[9778, 9777])).
% 8.31/5.91 tff(9780,plain,
% 8.31/5.91 ((~(v84(constB1, bitIndex0) <=> v84(constB0, bitIndex0))) | (~v84(constB1, bitIndex0)) | v84(constB0, bitIndex0)),
% 8.31/5.91 inference(tautology,[status(thm)],[])).
% 8.31/5.91 tff(9781,plain,
% 8.31/5.91 ((~(v84(constB1, bitIndex0) <=> v84(constB0, bitIndex0))) | (~v84(constB1, bitIndex0))),
% 8.31/5.91 inference(unit_resolution,[status(thm)],[9780, 9779])).
% 8.31/5.91 tff(9782,plain,
% 8.31/5.91 (~v84(constB1, bitIndex0)),
% 8.31/5.91 inference(unit_resolution,[status(thm)],[9781, 9776])).
% 8.31/5.91 tff(9783,plain,
% 8.31/5.91 (less_3(bitIndex1) <=> less_3(bitIndex1)),
% 8.31/5.91 inference(rewrite,[status(thm)],[])).
% 8.31/5.91 tff(9784,axiom,(less_3(bitIndex1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','lessPredicateGroundAxiom_4')).
% 8.31/5.91 tff(9785,plain,
% 8.31/5.91 (less_3(bitIndex1)),
% 8.31/5.91 inference(modus_ponens,[status(thm)],[9784, 9783])).
% 8.31/5.91 tff(9786,plain,
% 8.31/5.91 (((~![B: $i] : ((~less_3(B)) | (v84(constB1, B) <=> v84(constB0, B)))) | ((~less_3(bitIndex1)) | (v84(constB1, bitIndex1) <=> v84(constB0, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB1, B) <=> v84(constB0, B)))) | (~less_3(bitIndex1)) | (v84(constB1, bitIndex1) <=> v84(constB0, bitIndex1)))),
% 8.31/5.91 inference(rewrite,[status(thm)],[])).
% 8.31/5.91 tff(9787,plain,
% 8.31/5.91 ((~![B: $i] : ((~less_3(B)) | (v84(constB1, B) <=> v84(constB0, B)))) | ((~less_3(bitIndex1)) | (v84(constB1, bitIndex1) <=> v84(constB0, bitIndex1)))),
% 8.31/5.91 inference(quant_inst,[status(thm)],[])).
% 8.31/5.91 tff(9788,plain,
% 8.31/5.91 ((~![B: $i] : ((~less_3(B)) | (v84(constB1, B) <=> v84(constB0, B)))) | (~less_3(bitIndex1)) | (v84(constB1, bitIndex1) <=> v84(constB0, bitIndex1))),
% 8.31/5.91 inference(modus_ponens,[status(thm)],[9787, 9786])).
% 8.31/5.91 tff(9789,plain,
% 8.31/5.91 (v84(constB1, bitIndex1) <=> v84(constB0, bitIndex1)),
% 8.31/5.91 inference(unit_resolution,[status(thm)],[9788, 9785, 9769])).
% 8.31/5.91 tff(9790,plain,
% 8.31/5.91 ((~v84(constB0, bitIndex1)) <=> (~v84(constB0, bitIndex1))),
% 8.31/5.91 inference(rewrite,[status(thm)],[])).
% 8.31/5.91 tff(9791,axiom,(~v84(constB0, bitIndex1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignmentInitValue_3')).
% 8.31/5.91 tff(9792,plain,
% 8.31/5.91 (~v84(constB0, bitIndex1)),
% 8.31/5.91 inference(modus_ponens,[status(thm)],[9791, 9790])).
% 8.31/5.91 tff(9793,plain,
% 8.31/5.91 ((~(v84(constB1, bitIndex1) <=> v84(constB0, bitIndex1))) | (~v84(constB1, bitIndex1)) | v84(constB0, bitIndex1)),
% 8.31/5.91 inference(tautology,[status(thm)],[])).
% 8.31/5.91 tff(9794,plain,
% 8.31/5.91 ((~(v84(constB1, bitIndex1) <=> v84(constB0, bitIndex1))) | (~v84(constB1, bitIndex1))),
% 8.31/5.91 inference(unit_resolution,[status(thm)],[9793, 9792])).
% 8.31/5.91 tff(9795,plain,
% 8.31/5.91 (~v84(constB1, bitIndex1)),
% 8.31/5.91 inference(unit_resolution,[status(thm)],[9794, 9789])).
% 8.31/5.91 tff(9796,plain,
% 8.31/5.91 (((~![B: $i] : ((~less_3(B)) | (v84(constB1, B) <=> v84(constB0, B)))) | ((~less_3(bitIndex2)) | (v84(constB1, bitIndex2) <=> v84(constB0, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB1, B) <=> v84(constB0, B)))) | (~less_3(bitIndex2)) | (v84(constB1, bitIndex2) <=> v84(constB0, bitIndex2)))),
% 8.31/5.91 inference(rewrite,[status(thm)],[])).
% 8.31/5.91 tff(9797,plain,
% 8.31/5.91 ((~![B: $i] : ((~less_3(B)) | (v84(constB1, B) <=> v84(constB0, B)))) | ((~less_3(bitIndex2)) | (v84(constB1, bitIndex2) <=> v84(constB0, bitIndex2)))),
% 8.31/5.91 inference(quant_inst,[status(thm)],[])).
% 8.31/5.91 tff(9798,plain,
% 8.31/5.91 ((~![B: $i] : ((~less_3(B)) | (v84(constB1, B) <=> v84(constB0, B)))) | (~less_3(bitIndex2)) | (v84(constB1, bitIndex2) <=> v84(constB0, bitIndex2))),
% 8.31/5.91 inference(modus_ponens,[status(thm)],[9797, 9796])).
% 8.31/5.91 tff(9799,plain,
% 8.31/5.91 (v84(constB1, bitIndex2) <=> v84(constB0, bitIndex2)),
% 8.31/5.91 inference(unit_resolution,[status(thm)],[9798, 832, 9769])).
% 8.31/5.91 tff(9800,plain,
% 8.31/5.91 ((~v84(constB0, bitIndex2)) <=> (~v84(constB0, bitIndex2))),
% 8.31/5.91 inference(rewrite,[status(thm)],[])).
% 8.31/5.91 tff(9801,axiom,(~v84(constB0, bitIndex2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignmentInitValue_4')).
% 8.31/5.91 tff(9802,plain,
% 8.31/5.91 (~v84(constB0, bitIndex2)),
% 8.31/5.91 inference(modus_ponens,[status(thm)],[9801, 9800])).
% 8.31/5.91 tff(9803,plain,
% 8.31/5.91 ((~(v84(constB1, bitIndex2) <=> v84(constB0, bitIndex2))) | (~v84(constB1, bitIndex2)) | v84(constB0, bitIndex2)),
% 8.31/5.91 inference(tautology,[status(thm)],[])).
% 8.31/5.91 tff(9804,plain,
% 8.31/5.91 ((~(v84(constB1, bitIndex2) <=> v84(constB0, bitIndex2))) | (~v84(constB1, bitIndex2))),
% 8.31/5.91 inference(unit_resolution,[status(thm)],[9803, 9802])).
% 8.31/5.91 tff(9805,plain,
% 8.31/5.91 (~v84(constB1, bitIndex2)),
% 8.31/5.91 inference(unit_resolution,[status(thm)],[9804, 9799])).
% 8.31/5.91 tff(9806,plain,
% 8.31/5.91 ((~(v84(constB1, bitIndex0) | v84(constB1, bitIndex1) | v84(constB1, bitIndex2))) | v84(constB1, bitIndex0) | v84(constB1, bitIndex1) | v84(constB1, bitIndex2)),
% 8.31/5.91 inference(tautology,[status(thm)],[])).
% 8.31/5.91 tff(9807,plain,
% 8.31/5.91 (~(v84(constB1, bitIndex0) | v84(constB1, bitIndex1) | v84(constB1, bitIndex2))),
% 8.31/5.91 inference(unit_resolution,[status(thm)],[9806, 9805, 9795, 9782])).
% 8.31/5.91 tff(9808,plain,
% 8.31/5.91 ((~(v113(constB1) <=> (~(v84(constB1, bitIndex0) | v84(constB1, bitIndex1) | v84(constB1, bitIndex2))))) | v113(constB1) | (v84(constB1, bitIndex0) | v84(constB1, bitIndex1) | v84(constB1, bitIndex2))),
% 8.31/5.91 inference(tautology,[status(thm)],[])).
% 8.31/5.91 tff(9809,plain,
% 8.31/5.91 ((~(v113(constB1) <=> (~(v84(constB1, bitIndex0) | v84(constB1, bitIndex1) | v84(constB1, bitIndex2))))) | v113(constB1)),
% 8.31/5.91 inference(unit_resolution,[status(thm)],[9808, 9807])).
% 8.31/5.91 tff(9810,plain,
% 8.31/5.91 (v113(constB1)),
% 8.31/5.91 inference(unit_resolution,[status(thm)],[9809, 9741])).
% 8.31/5.91 tff(9811,plain,
% 8.31/5.91 ((v113(constB1) | v114(constB1)) | (~v113(constB1))),
% 8.31/5.91 inference(tautology,[status(thm)],[])).
% 8.31/5.91 tff(9812,plain,
% 8.31/5.91 (v113(constB1) | v114(constB1)),
% 8.31/5.91 inference(unit_resolution,[status(thm)],[9811, 9810])).
% 8.31/5.91 tff(9813,plain,
% 8.31/5.91 ((~(v112(constB1) <=> (v113(constB1) | v114(constB1)))) | v112(constB1) | (~(v113(constB1) | v114(constB1)))),
% 8.31/5.91 inference(tautology,[status(thm)],[])).
% 8.31/5.91 tff(9814,plain,
% 8.31/5.91 ((~(v112(constB1) <=> (v113(constB1) | v114(constB1)))) | v112(constB1)),
% 8.31/5.91 inference(unit_resolution,[status(thm)],[9813, 9812])).
% 8.31/5.91 tff(9815,plain,
% 8.31/5.92 (v112(constB1)),
% 8.31/5.92 inference(unit_resolution,[status(thm)],[9814, 9726])).
% 8.31/5.92 tff(9816,plain,
% 8.31/5.92 ((v112(constB1) | v115(constB1)) | (~v112(constB1))),
% 8.31/5.92 inference(tautology,[status(thm)],[])).
% 8.31/5.92 tff(9817,plain,
% 8.31/5.92 (v112(constB1) | v115(constB1)),
% 8.31/5.92 inference(unit_resolution,[status(thm)],[9816, 9815])).
% 8.31/5.92 tff(9818,plain,
% 8.31/5.92 ((~(v111(constB1) <=> (v112(constB1) | v115(constB1)))) | v111(constB1) | (~(v112(constB1) | v115(constB1)))),
% 8.31/5.92 inference(tautology,[status(thm)],[])).
% 8.31/5.92 tff(9819,plain,
% 8.31/5.92 (v111(constB1)),
% 8.31/5.92 inference(unit_resolution,[status(thm)],[9818, 9817, 9724])).
% 8.31/5.92 tff(9820,plain,
% 8.31/5.92 ((v111(constB1) | v116(constB1)) | (~v111(constB1))),
% 8.31/5.92 inference(tautology,[status(thm)],[])).
% 8.31/5.92 tff(9821,plain,
% 8.31/5.92 (v111(constB1) | v116(constB1)),
% 8.31/5.92 inference(unit_resolution,[status(thm)],[9820, 9819])).
% 8.31/5.92 tff(9822,plain,
% 8.31/5.92 ((~(v110(constB1) <=> (v111(constB1) | v116(constB1)))) | v110(constB1) | (~(v111(constB1) | v116(constB1)))),
% 8.31/5.92 inference(tautology,[status(thm)],[])).
% 8.31/5.92 tff(9823,plain,
% 8.31/5.92 (v110(constB1)),
% 8.31/5.92 inference(unit_resolution,[status(thm)],[9822, 9821, 9722])).
% 8.31/5.92 tff(9824,plain,
% 8.31/5.92 ((v110(constB1) | v117(constB1)) | (~v110(constB1))),
% 8.31/5.92 inference(tautology,[status(thm)],[])).
% 8.31/5.92 tff(9825,plain,
% 8.31/5.92 (v110(constB1) | v117(constB1)),
% 8.31/5.92 inference(unit_resolution,[status(thm)],[9824, 9823])).
% 8.31/5.92 tff(9826,plain,
% 8.31/5.92 ((~(v109(constB1) <=> (v110(constB1) | v117(constB1)))) | v109(constB1) | (~(v110(constB1) | v117(constB1)))),
% 8.31/5.92 inference(tautology,[status(thm)],[])).
% 8.31/5.92 tff(9827,plain,
% 8.31/5.92 (v109(constB1)),
% 8.31/5.92 inference(unit_resolution,[status(thm)],[9826, 9825, 9720])).
% 8.31/5.92 tff(9828,plain,
% 8.31/5.92 ((v109(constB1) | v118(constB1)) | (~v109(constB1))),
% 8.31/5.92 inference(tautology,[status(thm)],[])).
% 8.31/5.92 tff(9829,plain,
% 8.31/5.92 (v109(constB1) | v118(constB1)),
% 8.31/5.92 inference(unit_resolution,[status(thm)],[9828, 9827])).
% 8.31/5.92 tff(9830,plain,
% 8.31/5.92 ((~(v108(constB1) <=> (v109(constB1) | v118(constB1)))) | v108(constB1) | (~(v109(constB1) | v118(constB1)))),
% 8.31/5.92 inference(tautology,[status(thm)],[])).
% 8.31/5.92 tff(9831,plain,
% 8.31/5.92 (v108(constB1)),
% 8.31/5.92 inference(unit_resolution,[status(thm)],[9830, 9829, 9718])).
% 8.31/5.92 tff(9832,plain,
% 8.31/5.92 ((v108(constB1) | v119(constB1)) | (~v108(constB1))),
% 8.31/5.92 inference(tautology,[status(thm)],[])).
% 8.31/5.92 tff(9833,plain,
% 8.31/5.92 (v108(constB1) | v119(constB1)),
% 8.31/5.92 inference(unit_resolution,[status(thm)],[9832, 9831])).
% 8.31/5.92 tff(9834,plain,
% 8.31/5.92 ((~(v107(constB1) <=> (v108(constB1) | v119(constB1)))) | v107(constB1) | (~(v108(constB1) | v119(constB1)))),
% 8.31/5.92 inference(tautology,[status(thm)],[])).
% 8.31/5.92 tff(9835,plain,
% 8.31/5.92 (v107(constB1)),
% 8.31/5.92 inference(unit_resolution,[status(thm)],[9834, 9833, 9716])).
% 8.31/5.92 tff(9836,plain,
% 8.31/5.92 (^[VarCurr: $i] : refl(((~v120(VarCurr)) <=> v105(VarCurr)) <=> ((~v120(VarCurr)) <=> v105(VarCurr)))),
% 8.31/5.92 inference(bind,[status(th)],[])).
% 8.31/5.92 tff(9837,plain,
% 8.31/5.92 (![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr)) <=> ![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))),
% 8.31/5.92 inference(quant_intro,[status(thm)],[9836])).
% 8.31/5.92 tff(9838,plain,
% 8.31/5.92 (![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr)) <=> ![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))),
% 8.31/5.92 inference(rewrite,[status(thm)],[])).
% 8.31/5.92 tff(9839,axiom,(![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeUnaryOperator_13')).
% 8.31/5.92 tff(9840,plain,
% 8.31/5.92 (![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))),
% 8.31/5.92 inference(modus_ponens,[status(thm)],[9839, 9838])).
% 8.31/5.92 tff(9841,plain,(
% 8.31/5.92 ![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))),
% 8.31/5.92 inference(skolemize,[status(sab)],[9840])).
% 8.31/5.92 tff(9842,plain,
% 8.31/5.92 (![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))),
% 8.31/5.92 inference(modus_ponens,[status(thm)],[9841, 9837])).
% 8.31/5.92 tff(9843,plain,
% 8.31/5.92 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB1)) <=> v105(constB1))),
% 8.31/5.92 inference(quant_inst,[status(thm)],[])).
% 8.31/5.92 tff(9844,plain,
% 8.31/5.92 ((~v120(constB1)) <=> v105(constB1)),
% 8.31/5.92 inference(unit_resolution,[status(thm)],[9843, 9842])).
% 8.31/5.92 tff(9845,plain,
% 8.31/5.92 (^[VarCurr: $i] : refl((v105(VarCurr) <=> v26(VarCurr)) <=> (v105(VarCurr) <=> v26(VarCurr)))),
% 8.31/5.92 inference(bind,[status(th)],[])).
% 8.31/5.92 tff(9846,plain,
% 8.31/5.92 (![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr)) <=> ![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))),
% 8.31/5.92 inference(quant_intro,[status(thm)],[9845])).
% 8.31/5.92 tff(9847,plain,
% 8.31/5.92 (![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr)) <=> ![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))),
% 8.31/5.92 inference(rewrite,[status(thm)],[])).
% 8.31/5.92 tff(9848,plain,
% 8.31/5.92 (^[VarCurr: $i] : rewrite((v105(VarCurr) <=> (v26(VarCurr) <=> $true)) <=> (v105(VarCurr) <=> v26(VarCurr)))),
% 8.31/5.92 inference(bind,[status(th)],[])).
% 8.31/5.92 tff(9849,plain,
% 8.31/5.92 (![VarCurr: $i] : (v105(VarCurr) <=> (v26(VarCurr) <=> $true)) <=> ![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))),
% 8.31/5.92 inference(quant_intro,[status(thm)],[9848])).
% 8.31/5.92 tff(9850,axiom,(![VarCurr: $i] : (v105(VarCurr) <=> (v26(VarCurr) <=> $true))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_1')).
% 8.31/5.92 tff(9851,plain,
% 8.31/5.92 (![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))),
% 8.31/5.92 inference(modus_ponens,[status(thm)],[9850, 9849])).
% 8.31/5.92 tff(9852,plain,
% 8.31/5.92 (![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))),
% 8.31/5.92 inference(modus_ponens,[status(thm)],[9851, 9847])).
% 8.31/5.92 tff(9853,plain,(
% 8.31/5.92 ![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))),
% 8.31/5.92 inference(skolemize,[status(sab)],[9852])).
% 8.31/5.92 tff(9854,plain,
% 8.31/5.92 (![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))),
% 8.31/5.92 inference(modus_ponens,[status(thm)],[9853, 9846])).
% 8.31/5.92 tff(9855,plain,
% 8.31/5.92 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB1) <=> v26(constB1))),
% 8.31/5.92 inference(quant_inst,[status(thm)],[])).
% 8.31/5.92 tff(9856,plain,
% 8.31/5.92 (v105(constB1) <=> v26(constB1)),
% 8.31/5.92 inference(unit_resolution,[status(thm)],[9855, 9854])).
% 8.31/5.92 tff(9857,plain,
% 8.31/5.92 (^[VarCurr: $i] : refl((~v26(VarCurr)) <=> (~v26(VarCurr)))),
% 8.31/5.92 inference(bind,[status(th)],[])).
% 8.31/5.92 tff(9858,plain,
% 8.31/5.92 (![VarCurr: $i] : (~v26(VarCurr)) <=> ![VarCurr: $i] : (~v26(VarCurr))),
% 8.31/5.92 inference(quant_intro,[status(thm)],[9857])).
% 8.31/5.92 tff(9859,plain,
% 8.31/5.92 (![VarCurr: $i] : (~v26(VarCurr)) <=> ![VarCurr: $i] : (~v26(VarCurr))),
% 8.31/5.92 inference(rewrite,[status(thm)],[])).
% 8.31/5.92 tff(9860,plain,
% 8.31/5.92 (^[VarCurr: $i] : rewrite((v26(VarCurr) <=> $false) <=> (~v26(VarCurr)))),
% 8.31/5.92 inference(bind,[status(th)],[])).
% 8.31/5.92 tff(9861,plain,
% 8.31/5.92 (![VarCurr: $i] : (v26(VarCurr) <=> $false) <=> ![VarCurr: $i] : (~v26(VarCurr))),
% 8.31/5.92 inference(quant_intro,[status(thm)],[9860])).
% 8.31/5.92 tff(9862,axiom,(![VarCurr: $i] : (v26(VarCurr) <=> $false)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_1')).
% 8.31/5.92 tff(9863,plain,
% 8.31/5.92 (![VarCurr: $i] : (~v26(VarCurr))),
% 8.31/5.92 inference(modus_ponens,[status(thm)],[9862, 9861])).
% 8.31/5.92 tff(9864,plain,
% 8.31/5.92 (![VarCurr: $i] : (~v26(VarCurr))),
% 8.31/5.92 inference(modus_ponens,[status(thm)],[9863, 9859])).
% 8.31/5.92 tff(9865,plain,(
% 8.31/5.92 ![VarCurr: $i] : (~v26(VarCurr))),
% 8.31/5.92 inference(skolemize,[status(sab)],[9864])).
% 8.31/5.92 tff(9866,plain,
% 8.31/5.92 (![VarCurr: $i] : (~v26(VarCurr))),
% 8.31/5.92 inference(modus_ponens,[status(thm)],[9865, 9858])).
% 8.31/5.92 tff(9867,plain,
% 8.31/5.92 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB1))),
% 8.31/5.92 inference(quant_inst,[status(thm)],[])).
% 8.31/5.92 tff(9868,plain,
% 8.31/5.92 (~v26(constB1)),
% 8.31/5.92 inference(unit_resolution,[status(thm)],[9867, 9866])).
% 8.31/5.92 tff(9869,plain,
% 8.31/5.92 ((~(v105(constB1) <=> v26(constB1))) | (~v105(constB1)) | v26(constB1)),
% 8.31/5.92 inference(tautology,[status(thm)],[])).
% 8.31/5.92 tff(9870,plain,
% 8.31/5.92 ((~(v105(constB1) <=> v26(constB1))) | (~v105(constB1))),
% 8.31/5.92 inference(unit_resolution,[status(thm)],[9869, 9868])).
% 8.31/5.92 tff(9871,plain,
% 8.31/5.92 (~v105(constB1)),
% 8.31/5.92 inference(unit_resolution,[status(thm)],[9870, 9856])).
% 8.31/5.92 tff(9872,plain,
% 8.31/5.92 ((~((~v120(constB1)) <=> v105(constB1))) | v120(constB1) | v105(constB1)),
% 8.31/5.92 inference(tautology,[status(thm)],[])).
% 8.31/5.92 tff(9873,plain,
% 8.31/5.92 ((~((~v120(constB1)) <=> v105(constB1))) | v120(constB1)),
% 8.31/5.92 inference(unit_resolution,[status(thm)],[9872, 9871])).
% 8.31/5.92 tff(9874,plain,
% 8.31/5.92 (v120(constB1)),
% 8.31/5.92 inference(unit_resolution,[status(thm)],[9873, 9844])).
% 8.31/5.92 tff(9875,plain,
% 8.31/5.92 ((~((~v107(constB1)) | (~v120(constB1)))) | (~v107(constB1)) | (~v120(constB1))),
% 8.31/5.92 inference(tautology,[status(thm)],[])).
% 8.31/5.92 tff(9876,plain,
% 8.31/5.92 ((~((~v107(constB1)) | (~v120(constB1)))) | (~v107(constB1))),
% 8.31/5.92 inference(unit_resolution,[status(thm)],[9875, 9874])).
% 8.31/5.92 tff(9877,plain,
% 8.31/5.92 (~((~v107(constB1)) | (~v120(constB1)))),
% 8.31/5.92 inference(unit_resolution,[status(thm)],[9876, 9835])).
% 8.31/5.92 tff(9878,plain,
% 8.31/5.92 ((~(v106(constB1) <=> (~((~v107(constB1)) | (~v120(constB1)))))) | v106(constB1) | ((~v107(constB1)) | (~v120(constB1)))),
% 8.31/5.92 inference(tautology,[status(thm)],[])).
% 8.31/5.92 tff(9879,plain,
% 8.31/5.92 (v106(constB1)),
% 8.31/5.92 inference(unit_resolution,[status(thm)],[9878, 9877, 9714])).
% 8.31/5.92 tff(9880,plain,
% 8.31/5.92 ((v105(constB1) | v106(constB1)) | (~v106(constB1))),
% 8.31/5.92 inference(tautology,[status(thm)],[])).
% 8.31/5.92 tff(9881,plain,
% 8.31/5.92 (v105(constB1) | v106(constB1)),
% 8.31/5.92 inference(unit_resolution,[status(thm)],[9880, 9879])).
% 8.31/5.92 tff(9882,plain,
% 8.31/5.92 ((~(v102(constB1) <=> (v105(constB1) | v106(constB1)))) | v102(constB1) | (~(v105(constB1) | v106(constB1)))),
% 8.31/5.92 inference(tautology,[status(thm)],[])).
% 8.31/5.92 tff(9883,plain,
% 8.31/5.92 (v102(constB1)),
% 8.31/5.92 inference(unit_resolution,[status(thm)],[9882, 9881, 9712])).
% 8.31/5.92 tff(9884,plain,
% 8.31/5.92 ((~(v104(constB2) <=> v102(constB1))) | v104(constB2) | (~v102(constB1))),
% 8.31/5.92 inference(tautology,[status(thm)],[])).
% 8.31/5.92 tff(9885,plain,
% 8.31/5.92 (v104(constB2)),
% 8.31/5.92 inference(unit_resolution,[status(thm)],[9884, 9883, 9710])).
% 8.31/5.92 tff(9886,plain,
% 8.31/5.92 ((~((~v104(constB2)) | (~v95(constB2)))) | (~v104(constB2)) | (~v95(constB2))),
% 8.31/5.92 inference(tautology,[status(thm)],[])).
% 8.31/5.92 tff(9887,plain,
% 8.31/5.92 (~((~v104(constB2)) | (~v95(constB2)))),
% 8.31/5.92 inference(unit_resolution,[status(thm)],[9886, 9885, 9706])).
% 8.31/5.92 tff(9888,plain,
% 8.31/5.92 ((~(v94(constB2) <=> (~((~v104(constB2)) | (~v95(constB2)))))) | v94(constB2) | ((~v104(constB2)) | (~v95(constB2)))),
% 8.31/5.92 inference(tautology,[status(thm)],[])).
% 8.31/5.92 tff(9889,plain,
% 8.31/5.92 (v94(constB2)),
% 8.31/5.92 inference(unit_resolution,[status(thm)],[9888, 9887, 9675])).
% 8.31/5.92 tff(9890,plain,
% 8.31/5.92 (^[VarNext: $i] : refl(((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B)))) <=> ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B)))))),
% 8.31/5.92 inference(bind,[status(th)],[])).
% 8.31/5.92 tff(9891,plain,
% 8.31/5.92 (![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B)))) <=> ![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))),
% 8.31/5.92 inference(quant_intro,[status(thm)],[9890])).
% 8.31/5.92 tff(9892,plain,
% 8.31/5.92 (^[VarNext: $i] : rewrite(((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B)))) <=> ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B)))))),
% 8.31/5.92 inference(bind,[status(th)],[])).
% 8.31/5.92 tff(9893,plain,
% 8.31/5.92 (![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B)))) <=> ![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))),
% 8.31/5.92 inference(quant_intro,[status(thm)],[9892])).
% 8.31/5.92 tff(9894,plain,
% 8.31/5.92 (![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B)))) <=> ![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))),
% 8.31/5.92 inference(transitivity,[status(thm)],[9893, 9891])).
% 8.31/5.92 tff(9895,plain,
% 8.31/5.92 (![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B)))) <=> ![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))),
% 8.31/5.92 inference(rewrite,[status(thm)],[])).
% 8.31/5.92 tff(9896,plain,
% 8.31/5.92 (^[VarNext: $i] : trans(monotonicity(quant_intro(proof_bind(^[B: $i] : rewrite((less_3(B) => (v84(VarNext, B) <=> v123(VarNext, B))) <=> ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))), (![B: $i] : (less_3(B) => (v84(VarNext, B) <=> v123(VarNext, B))) <=> ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))), ((v94(VarNext) => ![B: $i] : (less_3(B) => (v84(VarNext, B) <=> v123(VarNext, B)))) <=> (v94(VarNext) => ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B)))))), rewrite((v94(VarNext) => ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B)))) <=> ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))), ((v94(VarNext) => ![B: $i] : (less_3(B) => (v84(VarNext, B) <=> v123(VarNext, B)))) <=> ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))))),
% 8.31/5.92 inference(bind,[status(th)],[])).
% 8.31/5.92 tff(9897,plain,
% 8.31/5.92 (![VarNext: $i] : (v94(VarNext) => ![B: $i] : (less_3(B) => (v84(VarNext, B) <=> v123(VarNext, B)))) <=> ![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))),
% 8.31/5.92 inference(quant_intro,[status(thm)],[9896])).
% 8.31/5.92 tff(9898,axiom,(![VarNext: $i] : (v94(VarNext) => ![B: $i] : (less_3(B) => (v84(VarNext, B) <=> v123(VarNext, B))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addCaseBooleanConditionEqualRanges0')).
% 8.31/5.92 tff(9899,plain,
% 8.31/5.92 (![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))),
% 8.31/5.92 inference(modus_ponens,[status(thm)],[9898, 9897])).
% 8.31/5.92 tff(9900,plain,
% 8.31/5.92 (![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))),
% 8.31/5.92 inference(modus_ponens,[status(thm)],[9899, 9895])).
% 8.31/5.92 tff(9901,plain,(
% 8.31/5.92 ![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))),
% 8.31/5.92 inference(skolemize,[status(sab)],[9900])).
% 8.31/5.92 tff(9902,plain,
% 8.31/5.92 (![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))),
% 8.31/5.92 inference(modus_ponens,[status(thm)],[9901, 9894])).
% 8.31/5.92 tff(9903,plain,
% 8.31/5.92 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB2)) | ![B: $i] : ((~less_3(B)) | (v84(constB2, B) <=> v123(constB2, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB2)) | ![B: $i] : ((~less_3(B)) | (v84(constB2, B) <=> v123(constB2, B))))),
% 8.31/5.92 inference(rewrite,[status(thm)],[])).
% 8.31/5.92 tff(9904,plain,
% 8.31/5.92 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB2)) | ![B: $i] : ((~less_3(B)) | (v84(constB2, B) <=> v123(constB2, B))))),
% 8.31/5.92 inference(quant_inst,[status(thm)],[])).
% 8.31/5.92 tff(9905,plain,
% 8.31/5.92 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB2)) | ![B: $i] : ((~less_3(B)) | (v84(constB2, B) <=> v123(constB2, B)))),
% 8.31/5.92 inference(modus_ponens,[status(thm)],[9904, 9903])).
% 8.31/5.92 tff(9906,plain,
% 8.31/5.92 ((~v94(constB2)) | ![B: $i] : ((~less_3(B)) | (v84(constB2, B) <=> v123(constB2, B)))),
% 8.31/5.92 inference(unit_resolution,[status(thm)],[9905, 9902])).
% 8.31/5.92 tff(9907,plain,
% 8.31/5.92 (![B: $i] : ((~less_3(B)) | (v84(constB2, B) <=> v123(constB2, B)))),
% 8.31/5.92 inference(unit_resolution,[status(thm)],[9906, 9889])).
% 8.31/5.92 tff(9908,plain,
% 8.31/5.92 (((~![B: $i] : ((~less_3(B)) | (v84(constB2, B) <=> v123(constB2, B)))) | ((~less_3(bitIndex2)) | (v84(constB2, bitIndex2) <=> v123(constB2, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB2, B) <=> v123(constB2, B)))) | (~less_3(bitIndex2)) | (v84(constB2, bitIndex2) <=> v123(constB2, bitIndex2)))),
% 8.31/5.92 inference(rewrite,[status(thm)],[])).
% 8.31/5.92 tff(9909,plain,
% 8.31/5.92 ((~![B: $i] : ((~less_3(B)) | (v84(constB2, B) <=> v123(constB2, B)))) | ((~less_3(bitIndex2)) | (v84(constB2, bitIndex2) <=> v123(constB2, bitIndex2)))),
% 8.31/5.92 inference(quant_inst,[status(thm)],[])).
% 8.31/5.92 tff(9910,plain,
% 8.31/5.92 ((~![B: $i] : ((~less_3(B)) | (v84(constB2, B) <=> v123(constB2, B)))) | (~less_3(bitIndex2)) | (v84(constB2, bitIndex2) <=> v123(constB2, bitIndex2))),
% 8.31/5.92 inference(modus_ponens,[status(thm)],[9909, 9908])).
% 8.31/5.92 tff(9911,plain,
% 8.31/5.92 (v84(constB2, bitIndex2) <=> v123(constB2, bitIndex2)),
% 8.31/5.92 inference(unit_resolution,[status(thm)],[9910, 832, 9907])).
% 8.31/5.92 tff(9912,plain,
% 8.31/5.92 (^[VarCurr: $i, VarNext: $i] : refl(((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B)))) <=> ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B)))))),
% 8.31/5.92 inference(bind,[status(th)],[])).
% 8.31/5.92 tff(9913,plain,
% 8.31/5.92 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B)))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))),
% 8.31/5.92 inference(quant_intro,[status(thm)],[9912])).
% 8.31/5.92 tff(9914,plain,
% 8.31/5.92 (^[VarCurr: $i, VarNext: $i] : rewrite(((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B)))) <=> ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B)))))),
% 8.31/5.92 inference(bind,[status(th)],[])).
% 8.31/5.92 tff(9915,plain,
% 8.31/5.92 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B)))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))),
% 8.31/5.92 inference(quant_intro,[status(thm)],[9914])).
% 8.31/5.92 tff(9916,plain,
% 8.31/5.92 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B)))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))),
% 8.31/5.92 inference(transitivity,[status(thm)],[9915, 9913])).
% 8.31/5.92 tff(9917,plain,
% 8.31/5.92 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B)))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))),
% 8.31/5.92 inference(rewrite,[status(thm)],[])).
% 8.31/5.92 tff(9918,plain,
% 8.31/5.92 (^[VarCurr: $i, VarNext: $i] : trans(monotonicity(quant_intro(proof_bind(^[B: $i] : rewrite((less_3(B) => (v123(VarNext, B) <=> v121(VarCurr, B))) <=> ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))), (![B: $i] : (less_3(B) => (v123(VarNext, B) <=> v121(VarCurr, B))) <=> ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))), ((nextState(VarCurr, VarNext) => ![B: $i] : (less_3(B) => (v123(VarNext, B) <=> v121(VarCurr, B)))) <=> (nextState(VarCurr, VarNext) => ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B)))))), rewrite((nextState(VarCurr, VarNext) => ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B)))) <=> ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))), ((nextState(VarCurr, VarNext) => ![B: $i] : (less_3(B) => (v123(VarNext, B) <=> v121(VarCurr, B)))) <=> ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))))),
% 8.31/5.92 inference(bind,[status(th)],[])).
% 8.31/5.92 tff(9919,plain,
% 8.31/5.92 (![VarCurr: $i, VarNext: $i] : (nextState(VarCurr, VarNext) => ![B: $i] : (less_3(B) => (v123(VarNext, B) <=> v121(VarCurr, B)))) <=> ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))),
% 8.31/5.92 inference(quant_intro,[status(thm)],[9918])).
% 8.31/5.92 tff(9920,axiom,(![VarCurr: $i, VarNext: $i] : (nextState(VarCurr, VarNext) => ![B: $i] : (less_3(B) => (v123(VarNext, B) <=> v121(VarCurr, B))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_7')).
% 8.31/5.92 tff(9921,plain,
% 8.31/5.92 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))),
% 8.31/5.92 inference(modus_ponens,[status(thm)],[9920, 9919])).
% 8.31/5.92 tff(9922,plain,
% 8.31/5.92 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))),
% 8.31/5.92 inference(modus_ponens,[status(thm)],[9921, 9917])).
% 8.31/5.92 tff(9923,plain,(
% 8.31/5.92 ![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))),
% 8.31/5.92 inference(skolemize,[status(sab)],[9922])).
% 8.31/5.92 tff(9924,plain,
% 8.31/5.92 (![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))),
% 8.41/5.92 inference(modus_ponens,[status(thm)],[9923, 9916])).
% 8.41/5.92 tff(9925,plain,
% 8.41/5.92 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB1, constB2)) | ![B: $i] : ((~less_3(B)) | (v123(constB2, B) <=> v121(constB1, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB1, constB2)) | ![B: $i] : ((~less_3(B)) | (v123(constB2, B) <=> v121(constB1, B))))),
% 8.41/5.92 inference(rewrite,[status(thm)],[])).
% 8.41/5.92 tff(9926,plain,
% 8.41/5.92 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB1, constB2)) | ![B: $i] : ((~less_3(B)) | (v123(constB2, B) <=> v121(constB1, B))))),
% 8.41/5.92 inference(quant_inst,[status(thm)],[])).
% 8.41/5.92 tff(9927,plain,
% 8.41/5.92 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB1, constB2)) | ![B: $i] : ((~less_3(B)) | (v123(constB2, B) <=> v121(constB1, B)))),
% 8.41/5.92 inference(modus_ponens,[status(thm)],[9926, 9925])).
% 8.41/5.92 tff(9928,plain,
% 8.41/5.92 (![B: $i] : ((~less_3(B)) | (v123(constB2, B) <=> v121(constB1, B)))),
% 8.41/5.92 inference(unit_resolution,[status(thm)],[9927, 9671, 9924])).
% 8.41/5.92 tff(9929,plain,
% 8.41/5.92 (((~![B: $i] : ((~less_3(B)) | (v123(constB2, B) <=> v121(constB1, B)))) | ((~less_3(bitIndex2)) | (v123(constB2, bitIndex2) <=> v121(constB1, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB2, B) <=> v121(constB1, B)))) | (~less_3(bitIndex2)) | (v123(constB2, bitIndex2) <=> v121(constB1, bitIndex2)))),
% 8.41/5.92 inference(rewrite,[status(thm)],[])).
% 8.41/5.92 tff(9930,plain,
% 8.41/5.92 ((~![B: $i] : ((~less_3(B)) | (v123(constB2, B) <=> v121(constB1, B)))) | ((~less_3(bitIndex2)) | (v123(constB2, bitIndex2) <=> v121(constB1, bitIndex2)))),
% 8.41/5.92 inference(quant_inst,[status(thm)],[])).
% 8.41/5.92 tff(9931,plain,
% 8.41/5.92 ((~![B: $i] : ((~less_3(B)) | (v123(constB2, B) <=> v121(constB1, B)))) | (~less_3(bitIndex2)) | (v123(constB2, bitIndex2) <=> v121(constB1, bitIndex2))),
% 8.41/5.92 inference(modus_ponens,[status(thm)],[9930, 9929])).
% 8.41/5.92 tff(9932,plain,
% 8.41/5.92 (v123(constB2, bitIndex2) <=> v121(constB1, bitIndex2)),
% 8.41/5.92 inference(unit_resolution,[status(thm)],[9931, 832, 9928])).
% 8.41/5.92 tff(9933,plain,
% 8.41/5.92 (^[VarCurr: $i] : refl((v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B)))) <=> (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B)))))),
% 8.41/5.92 inference(bind,[status(th)],[])).
% 8.41/5.92 tff(9934,plain,
% 8.41/5.92 (![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B)))) <=> ![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))),
% 8.41/5.92 inference(quant_intro,[status(thm)],[9933])).
% 8.41/5.92 tff(9935,plain,
% 8.41/5.92 (^[VarCurr: $i] : rewrite((v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B)))) <=> (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B)))))),
% 8.41/5.92 inference(bind,[status(th)],[])).
% 8.41/5.92 tff(9936,plain,
% 8.41/5.92 (![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B)))) <=> ![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))),
% 8.41/5.92 inference(quant_intro,[status(thm)],[9935])).
% 8.41/5.92 tff(9937,plain,
% 8.41/5.92 (![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B)))) <=> ![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))),
% 8.41/5.92 inference(transitivity,[status(thm)],[9936, 9934])).
% 8.41/5.92 tff(9938,plain,
% 8.41/5.92 (![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B)))) <=> ![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))),
% 8.41/5.92 inference(rewrite,[status(thm)],[])).
% 8.41/5.92 tff(9939,plain,
% 8.41/5.92 (^[VarCurr: $i] : trans(monotonicity(quant_intro(proof_bind(^[B: $i] : rewrite((less_3(B) => (v121(VarCurr, B) <=> v124(VarCurr, B))) <=> ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))), (![B: $i] : (less_3(B) => (v121(VarCurr, B) <=> v124(VarCurr, B))) <=> ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))), (((~v105(VarCurr)) => ![B: $i] : (less_3(B) => (v121(VarCurr, B) <=> v124(VarCurr, B)))) <=> ((~v105(VarCurr)) => ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B)))))), rewrite(((~v105(VarCurr)) => ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B)))) <=> (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))), (((~v105(VarCurr)) => ![B: $i] : (less_3(B) => (v121(VarCurr, B) <=> v124(VarCurr, B)))) <=> (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))))),
% 8.41/5.92 inference(bind,[status(th)],[])).
% 8.41/5.92 tff(9940,plain,
% 8.41/5.92 (![VarCurr: $i] : ((~v105(VarCurr)) => ![B: $i] : (less_3(B) => (v121(VarCurr, B) <=> v124(VarCurr, B)))) <=> ![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))),
% 8.41/5.92 inference(quant_intro,[status(thm)],[9939])).
% 8.41/5.92 tff(9941,axiom,(![VarCurr: $i] : ((~v105(VarCurr)) => ![B: $i] : (less_3(B) => (v121(VarCurr, B) <=> v124(VarCurr, B))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1_1')).
% 8.41/5.92 tff(9942,plain,
% 8.41/5.92 (![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))),
% 8.41/5.92 inference(modus_ponens,[status(thm)],[9941, 9940])).
% 8.41/5.92 tff(9943,plain,
% 8.41/5.92 (![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))),
% 8.41/5.92 inference(modus_ponens,[status(thm)],[9942, 9938])).
% 8.41/5.92 tff(9944,plain,(
% 8.41/5.92 ![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))),
% 8.41/5.92 inference(skolemize,[status(sab)],[9943])).
% 8.41/5.92 tff(9945,plain,
% 8.41/5.92 (![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))),
% 8.41/5.92 inference(modus_ponens,[status(thm)],[9944, 9937])).
% 8.41/5.92 tff(9946,plain,
% 8.41/5.92 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB1) | ![B: $i] : ((~less_3(B)) | (v121(constB1, B) <=> v124(constB1, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB1) | ![B: $i] : ((~less_3(B)) | (v121(constB1, B) <=> v124(constB1, B))))),
% 8.41/5.92 inference(rewrite,[status(thm)],[])).
% 8.41/5.92 tff(9947,plain,
% 8.41/5.92 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB1) | ![B: $i] : ((~less_3(B)) | (v121(constB1, B) <=> v124(constB1, B))))),
% 8.41/5.92 inference(quant_inst,[status(thm)],[])).
% 8.41/5.92 tff(9948,plain,
% 8.41/5.92 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB1) | ![B: $i] : ((~less_3(B)) | (v121(constB1, B) <=> v124(constB1, B)))),
% 8.41/5.92 inference(modus_ponens,[status(thm)],[9947, 9946])).
% 8.41/5.92 tff(9949,plain,
% 8.41/5.92 (![B: $i] : ((~less_3(B)) | (v121(constB1, B) <=> v124(constB1, B)))),
% 8.41/5.92 inference(unit_resolution,[status(thm)],[9948, 9945, 9871])).
% 8.41/5.92 tff(9950,plain,
% 8.41/5.92 (((~![B: $i] : ((~less_3(B)) | (v121(constB1, B) <=> v124(constB1, B)))) | ((~less_3(bitIndex2)) | (v121(constB1, bitIndex2) <=> v124(constB1, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB1, B) <=> v124(constB1, B)))) | (~less_3(bitIndex2)) | (v121(constB1, bitIndex2) <=> v124(constB1, bitIndex2)))),
% 8.41/5.92 inference(rewrite,[status(thm)],[])).
% 8.41/5.92 tff(9951,plain,
% 8.41/5.92 ((~![B: $i] : ((~less_3(B)) | (v121(constB1, B) <=> v124(constB1, B)))) | ((~less_3(bitIndex2)) | (v121(constB1, bitIndex2) <=> v124(constB1, bitIndex2)))),
% 8.41/5.92 inference(quant_inst,[status(thm)],[])).
% 8.41/5.92 tff(9952,plain,
% 8.41/5.92 ((~![B: $i] : ((~less_3(B)) | (v121(constB1, B) <=> v124(constB1, B)))) | (~less_3(bitIndex2)) | (v121(constB1, bitIndex2) <=> v124(constB1, bitIndex2))),
% 8.41/5.92 inference(modus_ponens,[status(thm)],[9951, 9950])).
% 8.41/5.92 tff(9953,plain,
% 8.41/5.92 (v121(constB1, bitIndex2) <=> v124(constB1, bitIndex2)),
% 8.41/5.92 inference(unit_resolution,[status(thm)],[9952, 832, 9949])).
% 8.41/5.92 tff(9954,plain,
% 8.41/5.92 (^[VarCurr: $i] : refl(((~v113(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B)))) <=> ((~v113(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B)))))),
% 8.41/5.92 inference(bind,[status(th)],[])).
% 8.41/5.92 tff(9955,plain,
% 8.41/5.92 (![VarCurr: $i] : ((~v113(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B)))) <=> ![VarCurr: $i] : ((~v113(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))),
% 8.41/5.92 inference(quant_intro,[status(thm)],[9954])).
% 8.41/5.92 tff(9956,plain,
% 8.41/5.92 (^[VarCurr: $i] : rewrite(((~v113(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B)))) <=> ((~v113(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B)))))),
% 8.41/5.92 inference(bind,[status(th)],[])).
% 8.41/5.92 tff(9957,plain,
% 8.41/5.92 (![VarCurr: $i] : ((~v113(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B)))) <=> ![VarCurr: $i] : ((~v113(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))),
% 8.41/5.92 inference(quant_intro,[status(thm)],[9956])).
% 8.41/5.92 tff(9958,plain,
% 8.41/5.92 (![VarCurr: $i] : ((~v113(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B)))) <=> ![VarCurr: $i] : ((~v113(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))),
% 8.41/5.92 inference(transitivity,[status(thm)],[9957, 9955])).
% 8.41/5.92 tff(9959,plain,
% 8.41/5.92 (![VarCurr: $i] : ((~v113(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B)))) <=> ![VarCurr: $i] : ((~v113(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))),
% 8.41/5.92 inference(rewrite,[status(thm)],[])).
% 8.41/5.92 tff(9960,plain,
% 8.41/5.92 (^[VarCurr: $i] : trans(monotonicity(quant_intro(proof_bind(^[B: $i] : rewrite((less_3(B) => (v124(VarCurr, B) <=> b001(B))) <=> ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))), (![B: $i] : (less_3(B) => (v124(VarCurr, B) <=> b001(B))) <=> ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))), ((v113(VarCurr) => ![B: $i] : (less_3(B) => (v124(VarCurr, B) <=> b001(B)))) <=> (v113(VarCurr) => ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B)))))), rewrite((v113(VarCurr) => ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B)))) <=> ((~v113(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))), ((v113(VarCurr) => ![B: $i] : (less_3(B) => (v124(VarCurr, B) <=> b001(B)))) <=> ((~v113(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))))),
% 8.41/5.92 inference(bind,[status(th)],[])).
% 8.41/5.92 tff(9961,plain,
% 8.41/5.92 (![VarCurr: $i] : (v113(VarCurr) => ![B: $i] : (less_3(B) => (v124(VarCurr, B) <=> b001(B)))) <=> ![VarCurr: $i] : ((~v113(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))),
% 8.41/5.92 inference(quant_intro,[status(thm)],[9960])).
% 8.41/5.92 tff(9962,axiom,(![VarCurr: $i] : (v113(VarCurr) => ![B: $i] : (less_3(B) => (v124(VarCurr, B) <=> b001(B))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges0')).
% 8.41/5.92 tff(9963,plain,
% 8.41/5.92 (![VarCurr: $i] : ((~v113(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))),
% 8.41/5.92 inference(modus_ponens,[status(thm)],[9962, 9961])).
% 8.41/5.92 tff(9964,plain,
% 8.41/5.92 (![VarCurr: $i] : ((~v113(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))),
% 8.41/5.92 inference(modus_ponens,[status(thm)],[9963, 9959])).
% 8.41/5.92 tff(9965,plain,(
% 8.41/5.92 ![VarCurr: $i] : ((~v113(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))),
% 8.41/5.92 inference(skolemize,[status(sab)],[9964])).
% 8.41/5.92 tff(9966,plain,
% 8.41/5.92 (![VarCurr: $i] : ((~v113(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))),
% 8.41/5.92 inference(modus_ponens,[status(thm)],[9965, 9958])).
% 8.41/5.92 tff(9967,plain,
% 8.41/5.92 (((~![VarCurr: $i] : ((~v113(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | ((~v113(constB1)) | ![B: $i] : ((~less_3(B)) | (v124(constB1, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : ((~v113(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | (~v113(constB1)) | ![B: $i] : ((~less_3(B)) | (v124(constB1, B) <=> b001(B))))),
% 8.41/5.92 inference(rewrite,[status(thm)],[])).
% 8.41/5.92 tff(9968,plain,
% 8.41/5.92 ((~![VarCurr: $i] : ((~v113(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | ((~v113(constB1)) | ![B: $i] : ((~less_3(B)) | (v124(constB1, B) <=> b001(B))))),
% 8.41/5.92 inference(quant_inst,[status(thm)],[])).
% 8.41/5.92 tff(9969,plain,
% 8.41/5.92 ((~![VarCurr: $i] : ((~v113(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | (~v113(constB1)) | ![B: $i] : ((~less_3(B)) | (v124(constB1, B) <=> b001(B)))),
% 8.41/5.92 inference(modus_ponens,[status(thm)],[9968, 9967])).
% 8.41/5.92 tff(9970,plain,
% 8.41/5.92 (![B: $i] : ((~less_3(B)) | (v124(constB1, B) <=> b001(B)))),
% 8.41/5.92 inference(unit_resolution,[status(thm)],[9969, 9966, 9810])).
% 8.41/5.92 tff(9971,plain,
% 8.41/5.92 (((~![B: $i] : ((~less_3(B)) | (v124(constB1, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v124(constB1, bitIndex2) <=> b001(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB1, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v124(constB1, bitIndex2) <=> b001(bitIndex2)))),
% 8.41/5.92 inference(rewrite,[status(thm)],[])).
% 8.41/5.92 tff(9972,plain,
% 8.41/5.92 ((~![B: $i] : ((~less_3(B)) | (v124(constB1, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v124(constB1, bitIndex2) <=> b001(bitIndex2)))),
% 8.41/5.92 inference(quant_inst,[status(thm)],[])).
% 8.41/5.92 tff(9973,plain,
% 8.41/5.92 ((~![B: $i] : ((~less_3(B)) | (v124(constB1, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v124(constB1, bitIndex2) <=> b001(bitIndex2))),
% 8.41/5.92 inference(modus_ponens,[status(thm)],[9972, 9971])).
% 8.41/5.92 tff(9974,plain,
% 8.41/5.92 (v124(constB1, bitIndex2) <=> b001(bitIndex2)),
% 8.41/5.92 inference(unit_resolution,[status(thm)],[9973, 832, 9970])).
% 8.41/5.92 tff(9975,plain,
% 8.41/5.92 ((~b001(bitIndex2)) <=> (~b001(bitIndex2))),
% 8.41/5.92 inference(rewrite,[status(thm)],[])).
% 8.41/5.92 tff(9976,axiom,(~b001(bitIndex2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bitBlastConstant_5')).
% 8.41/5.92 tff(9977,plain,
% 8.41/5.92 (~b001(bitIndex2)),
% 8.41/5.92 inference(modus_ponens,[status(thm)],[9976, 9975])).
% 8.41/5.92 tff(9978,plain,
% 8.41/5.92 ((~(v124(constB1, bitIndex2) <=> b001(bitIndex2))) | (~v124(constB1, bitIndex2)) | b001(bitIndex2)),
% 8.41/5.92 inference(tautology,[status(thm)],[])).
% 8.41/5.92 tff(9979,plain,
% 8.41/5.92 ((~(v124(constB1, bitIndex2) <=> b001(bitIndex2))) | (~v124(constB1, bitIndex2))),
% 8.41/5.92 inference(unit_resolution,[status(thm)],[9978, 9977])).
% 8.41/5.92 tff(9980,plain,
% 8.41/5.92 (~v124(constB1, bitIndex2)),
% 8.41/5.92 inference(unit_resolution,[status(thm)],[9979, 9974])).
% 8.41/5.92 tff(9981,plain,
% 8.41/5.92 ((~(v121(constB1, bitIndex2) <=> v124(constB1, bitIndex2))) | (~v121(constB1, bitIndex2)) | v124(constB1, bitIndex2)),
% 8.41/5.92 inference(tautology,[status(thm)],[])).
% 8.41/5.92 tff(9982,plain,
% 8.41/5.92 (~v121(constB1, bitIndex2)),
% 8.41/5.92 inference(unit_resolution,[status(thm)],[9981, 9980, 9953])).
% 8.41/5.92 tff(9983,plain,
% 8.41/5.92 ((~(v123(constB2, bitIndex2) <=> v121(constB1, bitIndex2))) | (~v123(constB2, bitIndex2)) | v121(constB1, bitIndex2)),
% 8.41/5.92 inference(tautology,[status(thm)],[])).
% 8.41/5.92 tff(9984,plain,
% 8.41/5.92 (~v123(constB2, bitIndex2)),
% 8.41/5.92 inference(unit_resolution,[status(thm)],[9983, 9982, 9932])).
% 8.41/5.92 tff(9985,plain,
% 8.41/5.92 ((~(v84(constB2, bitIndex2) <=> v123(constB2, bitIndex2))) | (~v84(constB2, bitIndex2)) | v123(constB2, bitIndex2)),
% 8.41/5.92 inference(tautology,[status(thm)],[])).
% 8.41/5.92 tff(9986,plain,
% 8.41/5.92 (~v84(constB2, bitIndex2)),
% 8.41/5.92 inference(unit_resolution,[status(thm)],[9985, 9984, 9911])).
% 8.41/5.92 tff(9987,plain,
% 8.41/5.92 ((~(v84(constB3, bitIndex2) <=> v84(constB2, bitIndex2))) | (~v84(constB3, bitIndex2)) | v84(constB2, bitIndex2)),
% 8.41/5.92 inference(tautology,[status(thm)],[])).
% 8.41/5.92 tff(9988,plain,
% 8.41/5.92 (~v84(constB3, bitIndex2)),
% 8.41/5.92 inference(unit_resolution,[status(thm)],[9987, 9986, 9668])).
% 8.41/5.92 tff(9989,plain,
% 8.41/5.92 (((~![B: $i] : ((~less_3(B)) | (v84(constB3, B) <=> v84(constB2, B)))) | ((~less_3(bitIndex0)) | (v84(constB3, bitIndex0) <=> v84(constB2, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB3, B) <=> v84(constB2, B)))) | (~less_3(bitIndex0)) | (v84(constB3, bitIndex0) <=> v84(constB2, bitIndex0)))),
% 8.41/5.92 inference(rewrite,[status(thm)],[])).
% 8.41/5.92 tff(9990,plain,
% 8.41/5.92 ((~![B: $i] : ((~less_3(B)) | (v84(constB3, B) <=> v84(constB2, B)))) | ((~less_3(bitIndex0)) | (v84(constB3, bitIndex0) <=> v84(constB2, bitIndex0)))),
% 8.41/5.92 inference(quant_inst,[status(thm)],[])).
% 8.41/5.92 tff(9991,plain,
% 8.41/5.92 ((~![B: $i] : ((~less_3(B)) | (v84(constB3, B) <=> v84(constB2, B)))) | (~less_3(bitIndex0)) | (v84(constB3, bitIndex0) <=> v84(constB2, bitIndex0))),
% 8.41/5.92 inference(modus_ponens,[status(thm)],[9990, 9989])).
% 8.41/5.92 tff(9992,plain,
% 8.41/5.92 (v84(constB3, bitIndex0) <=> v84(constB2, bitIndex0)),
% 8.41/5.92 inference(unit_resolution,[status(thm)],[9991, 9772, 9664])).
% 8.41/5.92 tff(9993,plain,
% 8.41/5.92 (((~![B: $i] : ((~less_3(B)) | (v84(constB2, B) <=> v123(constB2, B)))) | ((~less_3(bitIndex0)) | (v84(constB2, bitIndex0) <=> v123(constB2, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB2, B) <=> v123(constB2, B)))) | (~less_3(bitIndex0)) | (v84(constB2, bitIndex0) <=> v123(constB2, bitIndex0)))),
% 8.41/5.92 inference(rewrite,[status(thm)],[])).
% 8.41/5.92 tff(9994,plain,
% 8.41/5.92 ((~![B: $i] : ((~less_3(B)) | (v84(constB2, B) <=> v123(constB2, B)))) | ((~less_3(bitIndex0)) | (v84(constB2, bitIndex0) <=> v123(constB2, bitIndex0)))),
% 8.41/5.92 inference(quant_inst,[status(thm)],[])).
% 8.41/5.92 tff(9995,plain,
% 8.41/5.92 ((~![B: $i] : ((~less_3(B)) | (v84(constB2, B) <=> v123(constB2, B)))) | (~less_3(bitIndex0)) | (v84(constB2, bitIndex0) <=> v123(constB2, bitIndex0))),
% 8.41/5.92 inference(modus_ponens,[status(thm)],[9994, 9993])).
% 8.41/5.92 tff(9996,plain,
% 8.41/5.92 (v84(constB2, bitIndex0) <=> v123(constB2, bitIndex0)),
% 8.41/5.92 inference(unit_resolution,[status(thm)],[9995, 9772, 9907])).
% 8.41/5.92 tff(9997,plain,
% 8.41/5.92 (((~![B: $i] : ((~less_3(B)) | (v123(constB2, B) <=> v121(constB1, B)))) | ((~less_3(bitIndex0)) | (v123(constB2, bitIndex0) <=> v121(constB1, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB2, B) <=> v121(constB1, B)))) | (~less_3(bitIndex0)) | (v123(constB2, bitIndex0) <=> v121(constB1, bitIndex0)))),
% 8.41/5.92 inference(rewrite,[status(thm)],[])).
% 8.41/5.92 tff(9998,plain,
% 8.41/5.92 ((~![B: $i] : ((~less_3(B)) | (v123(constB2, B) <=> v121(constB1, B)))) | ((~less_3(bitIndex0)) | (v123(constB2, bitIndex0) <=> v121(constB1, bitIndex0)))),
% 8.41/5.92 inference(quant_inst,[status(thm)],[])).
% 8.41/5.92 tff(9999,plain,
% 8.41/5.92 ((~![B: $i] : ((~less_3(B)) | (v123(constB2, B) <=> v121(constB1, B)))) | (~less_3(bitIndex0)) | (v123(constB2, bitIndex0) <=> v121(constB1, bitIndex0))),
% 8.41/5.92 inference(modus_ponens,[status(thm)],[9998, 9997])).
% 8.41/5.92 tff(10000,plain,
% 8.41/5.92 (v123(constB2, bitIndex0) <=> v121(constB1, bitIndex0)),
% 8.41/5.92 inference(unit_resolution,[status(thm)],[9999, 9772, 9928])).
% 8.41/5.92 tff(10001,plain,
% 8.41/5.92 (((~![B: $i] : ((~less_3(B)) | (v121(constB1, B) <=> v124(constB1, B)))) | ((~less_3(bitIndex0)) | (v121(constB1, bitIndex0) <=> v124(constB1, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB1, B) <=> v124(constB1, B)))) | (~less_3(bitIndex0)) | (v121(constB1, bitIndex0) <=> v124(constB1, bitIndex0)))),
% 8.41/5.92 inference(rewrite,[status(thm)],[])).
% 8.41/5.92 tff(10002,plain,
% 8.41/5.92 ((~![B: $i] : ((~less_3(B)) | (v121(constB1, B) <=> v124(constB1, B)))) | ((~less_3(bitIndex0)) | (v121(constB1, bitIndex0) <=> v124(constB1, bitIndex0)))),
% 8.41/5.92 inference(quant_inst,[status(thm)],[])).
% 8.41/5.93 tff(10003,plain,
% 8.41/5.93 ((~![B: $i] : ((~less_3(B)) | (v121(constB1, B) <=> v124(constB1, B)))) | (~less_3(bitIndex0)) | (v121(constB1, bitIndex0) <=> v124(constB1, bitIndex0))),
% 8.41/5.93 inference(modus_ponens,[status(thm)],[10002, 10001])).
% 8.41/5.93 tff(10004,plain,
% 8.41/5.93 (v121(constB1, bitIndex0) <=> v124(constB1, bitIndex0)),
% 8.41/5.93 inference(unit_resolution,[status(thm)],[10003, 9772, 9949])).
% 8.41/5.93 tff(10005,plain,
% 8.41/5.93 (((~![B: $i] : ((~less_3(B)) | (v124(constB1, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v124(constB1, bitIndex0) <=> b001(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB1, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v124(constB1, bitIndex0) <=> b001(bitIndex0)))),
% 8.41/5.93 inference(rewrite,[status(thm)],[])).
% 8.41/5.93 tff(10006,plain,
% 8.41/5.93 ((~![B: $i] : ((~less_3(B)) | (v124(constB1, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v124(constB1, bitIndex0) <=> b001(bitIndex0)))),
% 8.41/5.93 inference(quant_inst,[status(thm)],[])).
% 8.41/5.93 tff(10007,plain,
% 8.41/5.93 ((~![B: $i] : ((~less_3(B)) | (v124(constB1, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v124(constB1, bitIndex0) <=> b001(bitIndex0))),
% 8.41/5.93 inference(modus_ponens,[status(thm)],[10006, 10005])).
% 8.41/5.93 tff(10008,plain,
% 8.41/5.93 (v124(constB1, bitIndex0) <=> b001(bitIndex0)),
% 8.41/5.93 inference(unit_resolution,[status(thm)],[10007, 9772, 9970])).
% 8.41/5.93 tff(10009,plain,
% 8.41/5.93 (b001(bitIndex0) <=> b001(bitIndex0)),
% 8.41/5.93 inference(rewrite,[status(thm)],[])).
% 8.41/5.93 tff(10010,axiom,(b001(bitIndex0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bitBlastConstant_3')).
% 8.41/5.93 tff(10011,plain,
% 8.41/5.93 (b001(bitIndex0)),
% 8.41/5.93 inference(modus_ponens,[status(thm)],[10010, 10009])).
% 8.41/5.93 tff(10012,plain,
% 8.41/5.93 ((~(v124(constB1, bitIndex0) <=> b001(bitIndex0))) | v124(constB1, bitIndex0) | (~b001(bitIndex0))),
% 8.41/5.93 inference(tautology,[status(thm)],[])).
% 8.41/5.93 tff(10013,plain,
% 8.41/5.93 ((~(v124(constB1, bitIndex0) <=> b001(bitIndex0))) | v124(constB1, bitIndex0)),
% 8.41/5.93 inference(unit_resolution,[status(thm)],[10012, 10011])).
% 8.41/5.93 tff(10014,plain,
% 8.41/5.93 (v124(constB1, bitIndex0)),
% 8.41/5.93 inference(unit_resolution,[status(thm)],[10013, 10008])).
% 8.41/5.93 tff(10015,plain,
% 8.41/5.93 ((~(v121(constB1, bitIndex0) <=> v124(constB1, bitIndex0))) | v121(constB1, bitIndex0) | (~v124(constB1, bitIndex0))),
% 8.41/5.93 inference(tautology,[status(thm)],[])).
% 8.41/5.93 tff(10016,plain,
% 8.41/5.93 (v121(constB1, bitIndex0)),
% 8.41/5.93 inference(unit_resolution,[status(thm)],[10015, 10014, 10004])).
% 8.41/5.93 tff(10017,plain,
% 8.41/5.93 ((~(v123(constB2, bitIndex0) <=> v121(constB1, bitIndex0))) | v123(constB2, bitIndex0) | (~v121(constB1, bitIndex0))),
% 8.41/5.93 inference(tautology,[status(thm)],[])).
% 8.41/5.93 tff(10018,plain,
% 8.41/5.93 (v123(constB2, bitIndex0)),
% 8.41/5.93 inference(unit_resolution,[status(thm)],[10017, 10016, 10000])).
% 8.41/5.93 tff(10019,plain,
% 8.41/5.93 ((~(v84(constB2, bitIndex0) <=> v123(constB2, bitIndex0))) | v84(constB2, bitIndex0) | (~v123(constB2, bitIndex0))),
% 8.41/5.93 inference(tautology,[status(thm)],[])).
% 8.41/5.93 tff(10020,plain,
% 8.41/5.93 (v84(constB2, bitIndex0)),
% 8.41/5.93 inference(unit_resolution,[status(thm)],[10019, 10018, 9996])).
% 8.41/5.93 tff(10021,plain,
% 8.41/5.93 ((~(v84(constB3, bitIndex0) <=> v84(constB2, bitIndex0))) | v84(constB3, bitIndex0) | (~v84(constB2, bitIndex0))),
% 8.41/5.93 inference(tautology,[status(thm)],[])).
% 8.41/5.93 tff(10022,plain,
% 8.41/5.93 (v84(constB3, bitIndex0)),
% 8.41/5.93 inference(unit_resolution,[status(thm)],[10021, 10020, 9992])).
% 8.41/5.93 tff(10023,plain,
% 8.41/5.93 (((~![B: $i] : ((~less_3(B)) | (v84(constB3, B) <=> v84(constB2, B)))) | ((~less_3(bitIndex1)) | (v84(constB3, bitIndex1) <=> v84(constB2, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB3, B) <=> v84(constB2, B)))) | (~less_3(bitIndex1)) | (v84(constB3, bitIndex1) <=> v84(constB2, bitIndex1)))),
% 8.41/5.93 inference(rewrite,[status(thm)],[])).
% 8.41/5.93 tff(10024,plain,
% 8.41/5.93 ((~![B: $i] : ((~less_3(B)) | (v84(constB3, B) <=> v84(constB2, B)))) | ((~less_3(bitIndex1)) | (v84(constB3, bitIndex1) <=> v84(constB2, bitIndex1)))),
% 8.41/5.93 inference(quant_inst,[status(thm)],[])).
% 8.41/5.93 tff(10025,plain,
% 8.41/5.93 ((~![B: $i] : ((~less_3(B)) | (v84(constB3, B) <=> v84(constB2, B)))) | (~less_3(bitIndex1)) | (v84(constB3, bitIndex1) <=> v84(constB2, bitIndex1))),
% 8.41/5.93 inference(modus_ponens,[status(thm)],[10024, 10023])).
% 8.41/5.93 tff(10026,plain,
% 8.41/5.93 (v84(constB3, bitIndex1) <=> v84(constB2, bitIndex1)),
% 8.41/5.93 inference(unit_resolution,[status(thm)],[10025, 9785, 9664])).
% 8.41/5.93 tff(10027,plain,
% 8.41/5.93 (((~![B: $i] : ((~less_3(B)) | (v84(constB2, B) <=> v123(constB2, B)))) | ((~less_3(bitIndex1)) | (v84(constB2, bitIndex1) <=> v123(constB2, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB2, B) <=> v123(constB2, B)))) | (~less_3(bitIndex1)) | (v84(constB2, bitIndex1) <=> v123(constB2, bitIndex1)))),
% 8.41/5.93 inference(rewrite,[status(thm)],[])).
% 8.41/5.93 tff(10028,plain,
% 8.41/5.93 ((~![B: $i] : ((~less_3(B)) | (v84(constB2, B) <=> v123(constB2, B)))) | ((~less_3(bitIndex1)) | (v84(constB2, bitIndex1) <=> v123(constB2, bitIndex1)))),
% 8.41/5.93 inference(quant_inst,[status(thm)],[])).
% 8.41/5.93 tff(10029,plain,
% 8.41/5.93 ((~![B: $i] : ((~less_3(B)) | (v84(constB2, B) <=> v123(constB2, B)))) | (~less_3(bitIndex1)) | (v84(constB2, bitIndex1) <=> v123(constB2, bitIndex1))),
% 8.41/5.93 inference(modus_ponens,[status(thm)],[10028, 10027])).
% 8.41/5.93 tff(10030,plain,
% 8.41/5.93 (v84(constB2, bitIndex1) <=> v123(constB2, bitIndex1)),
% 8.41/5.93 inference(unit_resolution,[status(thm)],[10029, 9785, 9907])).
% 8.41/5.93 tff(10031,plain,
% 8.41/5.93 (((~![B: $i] : ((~less_3(B)) | (v123(constB2, B) <=> v121(constB1, B)))) | ((~less_3(bitIndex1)) | (v123(constB2, bitIndex1) <=> v121(constB1, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB2, B) <=> v121(constB1, B)))) | (~less_3(bitIndex1)) | (v123(constB2, bitIndex1) <=> v121(constB1, bitIndex1)))),
% 8.41/5.93 inference(rewrite,[status(thm)],[])).
% 8.41/5.93 tff(10032,plain,
% 8.41/5.93 ((~![B: $i] : ((~less_3(B)) | (v123(constB2, B) <=> v121(constB1, B)))) | ((~less_3(bitIndex1)) | (v123(constB2, bitIndex1) <=> v121(constB1, bitIndex1)))),
% 8.41/5.93 inference(quant_inst,[status(thm)],[])).
% 8.41/5.93 tff(10033,plain,
% 8.41/5.93 ((~![B: $i] : ((~less_3(B)) | (v123(constB2, B) <=> v121(constB1, B)))) | (~less_3(bitIndex1)) | (v123(constB2, bitIndex1) <=> v121(constB1, bitIndex1))),
% 8.41/5.93 inference(modus_ponens,[status(thm)],[10032, 10031])).
% 8.41/5.93 tff(10034,plain,
% 8.41/5.93 (v123(constB2, bitIndex1) <=> v121(constB1, bitIndex1)),
% 8.41/5.93 inference(unit_resolution,[status(thm)],[10033, 9785, 9928])).
% 8.41/5.93 tff(10035,plain,
% 8.41/5.93 (((~![B: $i] : ((~less_3(B)) | (v121(constB1, B) <=> v124(constB1, B)))) | ((~less_3(bitIndex1)) | (v121(constB1, bitIndex1) <=> v124(constB1, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB1, B) <=> v124(constB1, B)))) | (~less_3(bitIndex1)) | (v121(constB1, bitIndex1) <=> v124(constB1, bitIndex1)))),
% 8.41/5.93 inference(rewrite,[status(thm)],[])).
% 8.41/5.93 tff(10036,plain,
% 8.41/5.93 ((~![B: $i] : ((~less_3(B)) | (v121(constB1, B) <=> v124(constB1, B)))) | ((~less_3(bitIndex1)) | (v121(constB1, bitIndex1) <=> v124(constB1, bitIndex1)))),
% 8.41/5.93 inference(quant_inst,[status(thm)],[])).
% 8.41/5.93 tff(10037,plain,
% 8.41/5.93 ((~![B: $i] : ((~less_3(B)) | (v121(constB1, B) <=> v124(constB1, B)))) | (~less_3(bitIndex1)) | (v121(constB1, bitIndex1) <=> v124(constB1, bitIndex1))),
% 8.41/5.93 inference(modus_ponens,[status(thm)],[10036, 10035])).
% 8.41/5.93 tff(10038,plain,
% 8.41/5.93 (v121(constB1, bitIndex1) <=> v124(constB1, bitIndex1)),
% 8.41/5.93 inference(unit_resolution,[status(thm)],[10037, 9785, 9949])).
% 8.41/5.93 tff(10039,plain,
% 8.41/5.93 (((~![B: $i] : ((~less_3(B)) | (v124(constB1, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v124(constB1, bitIndex1) <=> b001(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB1, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v124(constB1, bitIndex1) <=> b001(bitIndex1)))),
% 8.41/5.93 inference(rewrite,[status(thm)],[])).
% 8.41/5.93 tff(10040,plain,
% 8.41/5.93 ((~![B: $i] : ((~less_3(B)) | (v124(constB1, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v124(constB1, bitIndex1) <=> b001(bitIndex1)))),
% 8.41/5.93 inference(quant_inst,[status(thm)],[])).
% 8.41/5.93 tff(10041,plain,
% 8.41/5.93 ((~![B: $i] : ((~less_3(B)) | (v124(constB1, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v124(constB1, bitIndex1) <=> b001(bitIndex1))),
% 8.41/5.93 inference(modus_ponens,[status(thm)],[10040, 10039])).
% 8.41/5.93 tff(10042,plain,
% 8.41/5.93 (v124(constB1, bitIndex1) <=> b001(bitIndex1)),
% 8.41/5.93 inference(unit_resolution,[status(thm)],[10041, 9785, 9970])).
% 8.41/5.93 tff(10043,plain,
% 8.41/5.93 ((~b001(bitIndex1)) <=> (~b001(bitIndex1))),
% 8.41/5.93 inference(rewrite,[status(thm)],[])).
% 8.41/5.93 tff(10044,axiom,(~b001(bitIndex1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bitBlastConstant_4')).
% 8.41/5.93 tff(10045,plain,
% 8.41/5.93 (~b001(bitIndex1)),
% 8.41/5.93 inference(modus_ponens,[status(thm)],[10044, 10043])).
% 8.41/5.93 tff(10046,plain,
% 8.41/5.93 ((~(v124(constB1, bitIndex1) <=> b001(bitIndex1))) | (~v124(constB1, bitIndex1)) | b001(bitIndex1)),
% 8.41/5.93 inference(tautology,[status(thm)],[])).
% 8.41/5.93 tff(10047,plain,
% 8.41/5.93 ((~(v124(constB1, bitIndex1) <=> b001(bitIndex1))) | (~v124(constB1, bitIndex1))),
% 8.41/5.93 inference(unit_resolution,[status(thm)],[10046, 10045])).
% 8.41/5.93 tff(10048,plain,
% 8.41/5.93 (~v124(constB1, bitIndex1)),
% 8.41/5.93 inference(unit_resolution,[status(thm)],[10047, 10042])).
% 8.41/5.93 tff(10049,plain,
% 8.41/5.93 ((~(v121(constB1, bitIndex1) <=> v124(constB1, bitIndex1))) | (~v121(constB1, bitIndex1)) | v124(constB1, bitIndex1)),
% 8.41/5.93 inference(tautology,[status(thm)],[])).
% 8.41/5.93 tff(10050,plain,
% 8.41/5.93 (~v121(constB1, bitIndex1)),
% 8.41/5.93 inference(unit_resolution,[status(thm)],[10049, 10048, 10038])).
% 8.41/5.93 tff(10051,plain,
% 8.41/5.93 ((~(v123(constB2, bitIndex1) <=> v121(constB1, bitIndex1))) | (~v123(constB2, bitIndex1)) | v121(constB1, bitIndex1)),
% 8.41/5.93 inference(tautology,[status(thm)],[])).
% 8.41/5.93 tff(10052,plain,
% 8.41/5.93 (~v123(constB2, bitIndex1)),
% 8.41/5.93 inference(unit_resolution,[status(thm)],[10051, 10050, 10034])).
% 8.41/5.93 tff(10053,plain,
% 8.41/5.93 ((~(v84(constB2, bitIndex1) <=> v123(constB2, bitIndex1))) | (~v84(constB2, bitIndex1)) | v123(constB2, bitIndex1)),
% 8.41/5.93 inference(tautology,[status(thm)],[])).
% 8.41/5.93 tff(10054,plain,
% 8.41/5.93 (~v84(constB2, bitIndex1)),
% 8.41/5.93 inference(unit_resolution,[status(thm)],[10053, 10052, 10030])).
% 8.41/5.93 tff(10055,plain,
% 8.41/5.93 ((~(v84(constB3, bitIndex1) <=> v84(constB2, bitIndex1))) | (~v84(constB3, bitIndex1)) | v84(constB2, bitIndex1)),
% 8.41/5.93 inference(tautology,[status(thm)],[])).
% 8.41/5.93 tff(10056,plain,
% 8.41/5.93 (~v84(constB3, bitIndex1)),
% 8.41/5.93 inference(unit_resolution,[status(thm)],[10055, 10054, 10026])).
% 8.41/5.93 tff(10057,plain,
% 8.41/5.93 ((~(v84(constB3, bitIndex2) | v84(constB3, bitIndex1) | (~v84(constB3, bitIndex0)))) | v84(constB3, bitIndex2) | v84(constB3, bitIndex1) | (~v84(constB3, bitIndex0))),
% 8.41/5.93 inference(tautology,[status(thm)],[])).
% 8.41/5.93 tff(10058,plain,
% 8.41/5.93 (~(v84(constB3, bitIndex2) | v84(constB3, bitIndex1) | (~v84(constB3, bitIndex0)))),
% 8.41/5.93 inference(unit_resolution,[status(thm)],[10057, 10056, 10022, 9988])).
% 8.41/5.93 tff(10059,plain,
% 8.41/5.93 ((~(v114(constB3) <=> (~(v84(constB3, bitIndex2) | v84(constB3, bitIndex1) | (~v84(constB3, bitIndex0)))))) | v114(constB3) | (v84(constB3, bitIndex2) | v84(constB3, bitIndex1) | (~v84(constB3, bitIndex0)))),
% 8.41/5.93 inference(tautology,[status(thm)],[])).
% 8.41/5.93 tff(10060,plain,
% 8.41/5.93 (v114(constB3)),
% 8.41/5.93 inference(unit_resolution,[status(thm)],[10059, 10058, 9636])).
% 8.41/5.93 tff(10061,plain,
% 8.41/5.93 ((v113(constB3) | v114(constB3)) | (~v114(constB3))),
% 8.41/5.93 inference(tautology,[status(thm)],[])).
% 8.41/5.93 tff(10062,plain,
% 8.41/5.93 (v113(constB3) | v114(constB3)),
% 8.41/5.93 inference(unit_resolution,[status(thm)],[10061, 10060])).
% 8.41/5.93 tff(10063,plain,
% 8.41/5.93 ((~(v112(constB3) <=> (v113(constB3) | v114(constB3)))) | v112(constB3) | (~(v113(constB3) | v114(constB3)))),
% 8.41/5.93 inference(tautology,[status(thm)],[])).
% 8.41/5.93 tff(10064,plain,
% 8.41/5.93 (v112(constB3)),
% 8.41/5.93 inference(unit_resolution,[status(thm)],[10063, 10062, 9629])).
% 8.41/5.93 tff(10065,plain,
% 8.41/5.93 ((v112(constB3) | v115(constB3)) | (~v112(constB3))),
% 8.41/5.93 inference(tautology,[status(thm)],[])).
% 8.41/5.93 tff(10066,plain,
% 8.41/5.93 (v112(constB3) | v115(constB3)),
% 8.41/5.93 inference(unit_resolution,[status(thm)],[10065, 10064])).
% 8.41/5.93 tff(10067,plain,
% 8.41/5.93 ((~(v111(constB3) <=> (v112(constB3) | v115(constB3)))) | v111(constB3) | (~(v112(constB3) | v115(constB3)))),
% 8.41/5.93 inference(tautology,[status(thm)],[])).
% 8.41/5.93 tff(10068,plain,
% 8.41/5.93 (v111(constB3)),
% 8.41/5.93 inference(unit_resolution,[status(thm)],[10067, 10066, 9627])).
% 8.41/5.93 tff(10069,plain,
% 8.41/5.93 ((v111(constB3) | v116(constB3)) | (~v111(constB3))),
% 8.41/5.93 inference(tautology,[status(thm)],[])).
% 8.41/5.93 tff(10070,plain,
% 8.41/5.93 (v111(constB3) | v116(constB3)),
% 8.41/5.93 inference(unit_resolution,[status(thm)],[10069, 10068])).
% 8.41/5.93 tff(10071,plain,
% 8.41/5.93 ((~(v110(constB3) <=> (v111(constB3) | v116(constB3)))) | v110(constB3) | (~(v111(constB3) | v116(constB3)))),
% 8.41/5.93 inference(tautology,[status(thm)],[])).
% 8.41/5.93 tff(10072,plain,
% 8.41/5.93 (v110(constB3)),
% 8.41/5.93 inference(unit_resolution,[status(thm)],[10071, 10070, 9625])).
% 8.41/5.93 tff(10073,plain,
% 8.41/5.93 ((v110(constB3) | v117(constB3)) | (~v110(constB3))),
% 8.41/5.93 inference(tautology,[status(thm)],[])).
% 8.41/5.93 tff(10074,plain,
% 8.41/5.93 (v110(constB3) | v117(constB3)),
% 8.41/5.93 inference(unit_resolution,[status(thm)],[10073, 10072])).
% 8.41/5.93 tff(10075,plain,
% 8.41/5.93 ((~(v109(constB3) <=> (v110(constB3) | v117(constB3)))) | v109(constB3) | (~(v110(constB3) | v117(constB3)))),
% 8.41/5.93 inference(tautology,[status(thm)],[])).
% 8.41/5.93 tff(10076,plain,
% 8.41/5.93 (v109(constB3)),
% 8.41/5.93 inference(unit_resolution,[status(thm)],[10075, 10074, 9623])).
% 8.41/5.93 tff(10077,plain,
% 8.41/5.93 ((v109(constB3) | v118(constB3)) | (~v109(constB3))),
% 8.41/5.93 inference(tautology,[status(thm)],[])).
% 8.41/5.93 tff(10078,plain,
% 8.41/5.93 (v109(constB3) | v118(constB3)),
% 8.41/5.93 inference(unit_resolution,[status(thm)],[10077, 10076])).
% 8.41/5.93 tff(10079,plain,
% 8.41/5.93 ((~(v108(constB3) <=> (v109(constB3) | v118(constB3)))) | v108(constB3) | (~(v109(constB3) | v118(constB3)))),
% 8.41/5.93 inference(tautology,[status(thm)],[])).
% 8.41/5.93 tff(10080,plain,
% 8.41/5.93 (v108(constB3)),
% 8.41/5.93 inference(unit_resolution,[status(thm)],[10079, 10078, 9621])).
% 8.41/5.93 tff(10081,plain,
% 8.41/5.93 ((v108(constB3) | v119(constB3)) | (~v108(constB3))),
% 8.41/5.93 inference(tautology,[status(thm)],[])).
% 8.41/5.93 tff(10082,plain,
% 8.41/5.93 (v108(constB3) | v119(constB3)),
% 8.41/5.93 inference(unit_resolution,[status(thm)],[10081, 10080])).
% 8.41/5.93 tff(10083,plain,
% 8.41/5.93 ((~(v107(constB3) <=> (v108(constB3) | v119(constB3)))) | v107(constB3) | (~(v108(constB3) | v119(constB3)))),
% 8.41/5.93 inference(tautology,[status(thm)],[])).
% 8.41/5.93 tff(10084,plain,
% 8.41/5.93 (v107(constB3)),
% 8.41/5.93 inference(unit_resolution,[status(thm)],[10083, 10082, 9619])).
% 8.41/5.93 tff(10085,plain,
% 8.41/5.93 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB3)) <=> v105(constB3))),
% 8.41/5.93 inference(quant_inst,[status(thm)],[])).
% 8.41/5.93 tff(10086,plain,
% 8.41/5.93 ((~v120(constB3)) <=> v105(constB3)),
% 8.41/5.93 inference(unit_resolution,[status(thm)],[10085, 9842])).
% 8.41/5.93 tff(10087,plain,
% 8.41/5.93 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB3) <=> v26(constB3))),
% 8.41/5.93 inference(quant_inst,[status(thm)],[])).
% 8.41/5.93 tff(10088,plain,
% 8.41/5.93 (v105(constB3) <=> v26(constB3)),
% 8.41/5.93 inference(unit_resolution,[status(thm)],[10087, 9854])).
% 8.41/5.93 tff(10089,plain,
% 8.41/5.93 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB3))),
% 8.41/5.93 inference(quant_inst,[status(thm)],[])).
% 8.41/5.93 tff(10090,plain,
% 8.41/5.93 (~v26(constB3)),
% 8.41/5.93 inference(unit_resolution,[status(thm)],[10089, 9866])).
% 8.41/5.93 tff(10091,plain,
% 8.41/5.93 ((~(v105(constB3) <=> v26(constB3))) | (~v105(constB3)) | v26(constB3)),
% 8.41/5.93 inference(tautology,[status(thm)],[])).
% 8.41/5.93 tff(10092,plain,
% 8.41/5.93 ((~(v105(constB3) <=> v26(constB3))) | (~v105(constB3))),
% 8.41/5.93 inference(unit_resolution,[status(thm)],[10091, 10090])).
% 8.41/5.93 tff(10093,plain,
% 8.41/5.93 (~v105(constB3)),
% 8.41/5.93 inference(unit_resolution,[status(thm)],[10092, 10088])).
% 8.41/5.93 tff(10094,plain,
% 8.41/5.93 ((~((~v120(constB3)) <=> v105(constB3))) | v120(constB3) | v105(constB3)),
% 8.41/5.93 inference(tautology,[status(thm)],[])).
% 8.41/5.93 tff(10095,plain,
% 8.41/5.93 ((~((~v120(constB3)) <=> v105(constB3))) | v120(constB3)),
% 8.41/5.93 inference(unit_resolution,[status(thm)],[10094, 10093])).
% 8.41/5.93 tff(10096,plain,
% 8.41/5.93 (v120(constB3)),
% 8.41/5.93 inference(unit_resolution,[status(thm)],[10095, 10086])).
% 8.41/5.93 tff(10097,plain,
% 8.41/5.93 ((~((~v107(constB3)) | (~v120(constB3)))) | (~v107(constB3)) | (~v120(constB3))),
% 8.41/5.93 inference(tautology,[status(thm)],[])).
% 8.41/5.93 tff(10098,plain,
% 8.41/5.93 ((~((~v107(constB3)) | (~v120(constB3)))) | (~v107(constB3))),
% 8.41/5.93 inference(unit_resolution,[status(thm)],[10097, 10096])).
% 8.41/5.93 tff(10099,plain,
% 8.41/5.93 (~((~v107(constB3)) | (~v120(constB3)))),
% 8.41/5.93 inference(unit_resolution,[status(thm)],[10098, 10084])).
% 8.41/5.93 tff(10100,plain,
% 8.41/5.93 ((~(v106(constB3) <=> (~((~v107(constB3)) | (~v120(constB3)))))) | v106(constB3) | ((~v107(constB3)) | (~v120(constB3)))),
% 8.41/5.93 inference(tautology,[status(thm)],[])).
% 8.41/5.93 tff(10101,plain,
% 8.41/5.93 (v106(constB3)),
% 8.41/5.93 inference(unit_resolution,[status(thm)],[10100, 10099, 9617])).
% 8.41/5.93 tff(10102,plain,
% 8.41/5.93 ((v105(constB3) | v106(constB3)) | (~v106(constB3))),
% 8.41/5.93 inference(tautology,[status(thm)],[])).
% 8.41/5.93 tff(10103,plain,
% 8.41/5.93 (v105(constB3) | v106(constB3)),
% 8.41/5.93 inference(unit_resolution,[status(thm)],[10102, 10101])).
% 8.41/5.93 tff(10104,plain,
% 8.41/5.93 ((~(v102(constB3) <=> (v105(constB3) | v106(constB3)))) | v102(constB3) | (~(v105(constB3) | v106(constB3)))),
% 8.41/5.93 inference(tautology,[status(thm)],[])).
% 8.41/5.93 tff(10105,plain,
% 8.41/5.93 (v102(constB3)),
% 8.41/5.93 inference(unit_resolution,[status(thm)],[10104, 10103, 9615])).
% 8.41/5.93 tff(10106,plain,
% 8.41/5.93 ((~(v104(constB4) <=> v102(constB3))) | v104(constB4) | (~v102(constB3))),
% 8.41/5.93 inference(tautology,[status(thm)],[])).
% 8.41/5.93 tff(10107,plain,
% 8.41/5.93 (v104(constB4)),
% 8.41/5.93 inference(unit_resolution,[status(thm)],[10106, 10105, 9613])).
% 8.41/5.93 tff(10108,plain,
% 8.41/5.93 ((~((~v104(constB4)) | (~v95(constB4)))) | (~v104(constB4)) | (~v95(constB4))),
% 8.41/5.93 inference(tautology,[status(thm)],[])).
% 8.41/5.93 tff(10109,plain,
% 8.41/5.93 (~((~v104(constB4)) | (~v95(constB4)))),
% 8.41/5.93 inference(unit_resolution,[status(thm)],[10108, 10107, 9609])).
% 8.41/5.93 tff(10110,plain,
% 8.41/5.93 ((~(v94(constB4) <=> (~((~v104(constB4)) | (~v95(constB4)))))) | v94(constB4) | ((~v104(constB4)) | (~v95(constB4)))),
% 8.41/5.93 inference(tautology,[status(thm)],[])).
% 8.41/5.93 tff(10111,plain,
% 8.41/5.93 (v94(constB4)),
% 8.41/5.93 inference(unit_resolution,[status(thm)],[10110, 10109, 9578])).
% 8.41/5.93 tff(10112,plain,
% 8.41/5.93 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB4)) | ![B: $i] : ((~less_3(B)) | (v84(constB4, B) <=> v123(constB4, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB4)) | ![B: $i] : ((~less_3(B)) | (v84(constB4, B) <=> v123(constB4, B))))),
% 8.41/5.93 inference(rewrite,[status(thm)],[])).
% 8.41/5.93 tff(10113,plain,
% 8.41/5.93 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB4)) | ![B: $i] : ((~less_3(B)) | (v84(constB4, B) <=> v123(constB4, B))))),
% 8.41/5.93 inference(quant_inst,[status(thm)],[])).
% 8.41/5.93 tff(10114,plain,
% 8.41/5.93 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB4)) | ![B: $i] : ((~less_3(B)) | (v84(constB4, B) <=> v123(constB4, B)))),
% 8.41/5.93 inference(modus_ponens,[status(thm)],[10113, 10112])).
% 8.41/5.93 tff(10115,plain,
% 8.41/5.93 ((~v94(constB4)) | ![B: $i] : ((~less_3(B)) | (v84(constB4, B) <=> v123(constB4, B)))),
% 8.41/5.93 inference(unit_resolution,[status(thm)],[10114, 9902])).
% 8.41/5.93 tff(10116,plain,
% 8.41/5.93 (![B: $i] : ((~less_3(B)) | (v84(constB4, B) <=> v123(constB4, B)))),
% 8.41/5.93 inference(unit_resolution,[status(thm)],[10115, 10111])).
% 8.41/5.93 tff(10117,plain,
% 8.41/5.93 (((~![B: $i] : ((~less_3(B)) | (v84(constB4, B) <=> v123(constB4, B)))) | ((~less_3(bitIndex2)) | (v84(constB4, bitIndex2) <=> v123(constB4, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB4, B) <=> v123(constB4, B)))) | (~less_3(bitIndex2)) | (v84(constB4, bitIndex2) <=> v123(constB4, bitIndex2)))),
% 8.41/5.93 inference(rewrite,[status(thm)],[])).
% 8.41/5.93 tff(10118,plain,
% 8.41/5.93 ((~![B: $i] : ((~less_3(B)) | (v84(constB4, B) <=> v123(constB4, B)))) | ((~less_3(bitIndex2)) | (v84(constB4, bitIndex2) <=> v123(constB4, bitIndex2)))),
% 8.41/5.93 inference(quant_inst,[status(thm)],[])).
% 8.41/5.93 tff(10119,plain,
% 8.41/5.93 ((~![B: $i] : ((~less_3(B)) | (v84(constB4, B) <=> v123(constB4, B)))) | (~less_3(bitIndex2)) | (v84(constB4, bitIndex2) <=> v123(constB4, bitIndex2))),
% 8.41/5.93 inference(modus_ponens,[status(thm)],[10118, 10117])).
% 8.41/5.93 tff(10120,plain,
% 8.41/5.93 (v84(constB4, bitIndex2) <=> v123(constB4, bitIndex2)),
% 8.41/5.93 inference(unit_resolution,[status(thm)],[10119, 832, 10116])).
% 8.41/5.93 tff(10121,plain,
% 8.41/5.93 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB3, constB4)) | ![B: $i] : ((~less_3(B)) | (v123(constB4, B) <=> v121(constB3, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB3, constB4)) | ![B: $i] : ((~less_3(B)) | (v123(constB4, B) <=> v121(constB3, B))))),
% 8.41/5.93 inference(rewrite,[status(thm)],[])).
% 8.41/5.93 tff(10122,plain,
% 8.41/5.93 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB3, constB4)) | ![B: $i] : ((~less_3(B)) | (v123(constB4, B) <=> v121(constB3, B))))),
% 8.41/5.93 inference(quant_inst,[status(thm)],[])).
% 8.41/5.93 tff(10123,plain,
% 8.41/5.93 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB3, constB4)) | ![B: $i] : ((~less_3(B)) | (v123(constB4, B) <=> v121(constB3, B)))),
% 8.41/5.93 inference(modus_ponens,[status(thm)],[10122, 10121])).
% 8.41/5.93 tff(10124,plain,
% 8.41/5.93 (![B: $i] : ((~less_3(B)) | (v123(constB4, B) <=> v121(constB3, B)))),
% 8.41/5.93 inference(unit_resolution,[status(thm)],[10123, 9574, 9924])).
% 8.41/5.93 tff(10125,plain,
% 8.41/5.93 (((~![B: $i] : ((~less_3(B)) | (v123(constB4, B) <=> v121(constB3, B)))) | ((~less_3(bitIndex2)) | (v123(constB4, bitIndex2) <=> v121(constB3, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB4, B) <=> v121(constB3, B)))) | (~less_3(bitIndex2)) | (v123(constB4, bitIndex2) <=> v121(constB3, bitIndex2)))),
% 8.41/5.93 inference(rewrite,[status(thm)],[])).
% 8.41/5.93 tff(10126,plain,
% 8.41/5.93 ((~![B: $i] : ((~less_3(B)) | (v123(constB4, B) <=> v121(constB3, B)))) | ((~less_3(bitIndex2)) | (v123(constB4, bitIndex2) <=> v121(constB3, bitIndex2)))),
% 8.41/5.93 inference(quant_inst,[status(thm)],[])).
% 8.41/5.93 tff(10127,plain,
% 8.41/5.93 ((~![B: $i] : ((~less_3(B)) | (v123(constB4, B) <=> v121(constB3, B)))) | (~less_3(bitIndex2)) | (v123(constB4, bitIndex2) <=> v121(constB3, bitIndex2))),
% 8.41/5.93 inference(modus_ponens,[status(thm)],[10126, 10125])).
% 8.41/5.93 tff(10128,plain,
% 8.41/5.93 (v123(constB4, bitIndex2) <=> v121(constB3, bitIndex2)),
% 8.41/5.93 inference(unit_resolution,[status(thm)],[10127, 832, 10124])).
% 8.41/5.93 tff(10129,plain,
% 8.41/5.93 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB3) | ![B: $i] : ((~less_3(B)) | (v121(constB3, B) <=> v124(constB3, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB3) | ![B: $i] : ((~less_3(B)) | (v121(constB3, B) <=> v124(constB3, B))))),
% 8.41/5.93 inference(rewrite,[status(thm)],[])).
% 8.41/5.93 tff(10130,plain,
% 8.41/5.93 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB3) | ![B: $i] : ((~less_3(B)) | (v121(constB3, B) <=> v124(constB3, B))))),
% 8.41/5.93 inference(quant_inst,[status(thm)],[])).
% 8.41/5.93 tff(10131,plain,
% 8.41/5.93 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB3) | ![B: $i] : ((~less_3(B)) | (v121(constB3, B) <=> v124(constB3, B)))),
% 8.41/5.93 inference(modus_ponens,[status(thm)],[10130, 10129])).
% 8.41/5.93 tff(10132,plain,
% 8.41/5.93 (![B: $i] : ((~less_3(B)) | (v121(constB3, B) <=> v124(constB3, B)))),
% 8.41/5.93 inference(unit_resolution,[status(thm)],[10131, 9945, 10093])).
% 8.41/5.93 tff(10133,plain,
% 8.41/5.93 (((~![B: $i] : ((~less_3(B)) | (v121(constB3, B) <=> v124(constB3, B)))) | ((~less_3(bitIndex2)) | (v121(constB3, bitIndex2) <=> v124(constB3, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB3, B) <=> v124(constB3, B)))) | (~less_3(bitIndex2)) | (v121(constB3, bitIndex2) <=> v124(constB3, bitIndex2)))),
% 8.41/5.93 inference(rewrite,[status(thm)],[])).
% 8.41/5.93 tff(10134,plain,
% 8.41/5.93 ((~![B: $i] : ((~less_3(B)) | (v121(constB3, B) <=> v124(constB3, B)))) | ((~less_3(bitIndex2)) | (v121(constB3, bitIndex2) <=> v124(constB3, bitIndex2)))),
% 8.41/5.93 inference(quant_inst,[status(thm)],[])).
% 8.41/5.93 tff(10135,plain,
% 8.41/5.93 ((~![B: $i] : ((~less_3(B)) | (v121(constB3, B) <=> v124(constB3, B)))) | (~less_3(bitIndex2)) | (v121(constB3, bitIndex2) <=> v124(constB3, bitIndex2))),
% 8.41/5.93 inference(modus_ponens,[status(thm)],[10134, 10133])).
% 8.41/5.93 tff(10136,plain,
% 8.41/5.93 (v121(constB3, bitIndex2) <=> v124(constB3, bitIndex2)),
% 8.41/5.93 inference(unit_resolution,[status(thm)],[10135, 832, 10132])).
% 8.41/5.93 tff(10137,plain,
% 8.41/5.93 (^[VarCurr: $i] : refl(((~v114(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b010(B)))) <=> ((~v114(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b010(B)))))),
% 8.41/5.93 inference(bind,[status(th)],[])).
% 8.41/5.93 tff(10138,plain,
% 8.41/5.93 (![VarCurr: $i] : ((~v114(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b010(B)))) <=> ![VarCurr: $i] : ((~v114(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b010(B))))),
% 8.41/5.93 inference(quant_intro,[status(thm)],[10137])).
% 8.41/5.93 tff(10139,plain,
% 8.41/5.93 (^[VarCurr: $i] : rewrite(((~v114(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b010(B)))) <=> ((~v114(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b010(B)))))),
% 8.41/5.93 inference(bind,[status(th)],[])).
% 8.41/5.93 tff(10140,plain,
% 8.41/5.93 (![VarCurr: $i] : ((~v114(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b010(B)))) <=> ![VarCurr: $i] : ((~v114(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b010(B))))),
% 8.41/5.93 inference(quant_intro,[status(thm)],[10139])).
% 8.41/5.93 tff(10141,plain,
% 8.41/5.93 (![VarCurr: $i] : ((~v114(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b010(B)))) <=> ![VarCurr: $i] : ((~v114(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b010(B))))),
% 8.41/5.93 inference(transitivity,[status(thm)],[10140, 10138])).
% 8.41/5.93 tff(10142,plain,
% 8.41/5.93 (![VarCurr: $i] : ((~v114(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b010(B)))) <=> ![VarCurr: $i] : ((~v114(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b010(B))))),
% 8.41/5.93 inference(rewrite,[status(thm)],[])).
% 8.41/5.93 tff(10143,plain,
% 8.41/5.93 (^[VarCurr: $i] : trans(monotonicity(quant_intro(proof_bind(^[B: $i] : rewrite((less_3(B) => (v124(VarCurr, B) <=> b010(B))) <=> ((~less_3(B)) | (v124(VarCurr, B) <=> b010(B))))), (![B: $i] : (less_3(B) => (v124(VarCurr, B) <=> b010(B))) <=> ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b010(B))))), ((v114(VarCurr) => ![B: $i] : (less_3(B) => (v124(VarCurr, B) <=> b010(B)))) <=> (v114(VarCurr) => ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b010(B)))))), rewrite((v114(VarCurr) => ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b010(B)))) <=> ((~v114(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b010(B))))), ((v114(VarCurr) => ![B: $i] : (less_3(B) => (v124(VarCurr, B) <=> b010(B)))) <=> ((~v114(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b010(B))))))),
% 8.41/5.93 inference(bind,[status(th)],[])).
% 8.41/5.93 tff(10144,plain,
% 8.41/5.93 (![VarCurr: $i] : (v114(VarCurr) => ![B: $i] : (less_3(B) => (v124(VarCurr, B) <=> b010(B)))) <=> ![VarCurr: $i] : ((~v114(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b010(B))))),
% 8.41/5.93 inference(quant_intro,[status(thm)],[10143])).
% 8.41/5.93 tff(10145,axiom,(![VarCurr: $i] : (v114(VarCurr) => ![B: $i] : (less_3(B) => (v124(VarCurr, B) <=> b010(B))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges1')).
% 8.41/5.93 tff(10146,plain,
% 8.41/5.93 (![VarCurr: $i] : ((~v114(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b010(B))))),
% 8.41/5.93 inference(modus_ponens,[status(thm)],[10145, 10144])).
% 8.41/5.93 tff(10147,plain,
% 8.41/5.93 (![VarCurr: $i] : ((~v114(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b010(B))))),
% 8.41/5.93 inference(modus_ponens,[status(thm)],[10146, 10142])).
% 8.41/5.93 tff(10148,plain,(
% 8.41/5.93 ![VarCurr: $i] : ((~v114(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b010(B))))),
% 8.41/5.93 inference(skolemize,[status(sab)],[10147])).
% 8.41/5.93 tff(10149,plain,
% 8.41/5.93 (![VarCurr: $i] : ((~v114(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b010(B))))),
% 8.41/5.93 inference(modus_ponens,[status(thm)],[10148, 10141])).
% 8.41/5.93 tff(10150,plain,
% 8.41/5.93 (((~![VarCurr: $i] : ((~v114(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b010(B))))) | ((~v114(constB3)) | ![B: $i] : ((~less_3(B)) | (v124(constB3, B) <=> b010(B))))) <=> ((~![VarCurr: $i] : ((~v114(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b010(B))))) | (~v114(constB3)) | ![B: $i] : ((~less_3(B)) | (v124(constB3, B) <=> b010(B))))),
% 8.41/5.93 inference(rewrite,[status(thm)],[])).
% 8.41/5.93 tff(10151,plain,
% 8.41/5.93 ((~![VarCurr: $i] : ((~v114(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b010(B))))) | ((~v114(constB3)) | ![B: $i] : ((~less_3(B)) | (v124(constB3, B) <=> b010(B))))),
% 8.41/5.93 inference(quant_inst,[status(thm)],[])).
% 8.41/5.93 tff(10152,plain,
% 8.41/5.93 ((~![VarCurr: $i] : ((~v114(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b010(B))))) | (~v114(constB3)) | ![B: $i] : ((~less_3(B)) | (v124(constB3, B) <=> b010(B)))),
% 8.41/5.93 inference(modus_ponens,[status(thm)],[10151, 10150])).
% 8.41/5.93 tff(10153,plain,
% 8.41/5.93 ((~v114(constB3)) | ![B: $i] : ((~less_3(B)) | (v124(constB3, B) <=> b010(B)))),
% 8.41/5.93 inference(unit_resolution,[status(thm)],[10152, 10149])).
% 8.41/5.93 tff(10154,plain,
% 8.41/5.93 (![B: $i] : ((~less_3(B)) | (v124(constB3, B) <=> b010(B)))),
% 8.41/5.93 inference(unit_resolution,[status(thm)],[10153, 10060])).
% 8.41/5.93 tff(10155,plain,
% 8.41/5.93 (((~![B: $i] : ((~less_3(B)) | (v124(constB3, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v124(constB3, bitIndex2) <=> b010(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB3, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v124(constB3, bitIndex2) <=> b010(bitIndex2)))),
% 8.41/5.93 inference(rewrite,[status(thm)],[])).
% 8.41/5.93 tff(10156,plain,
% 8.41/5.93 ((~![B: $i] : ((~less_3(B)) | (v124(constB3, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v124(constB3, bitIndex2) <=> b010(bitIndex2)))),
% 8.41/5.93 inference(quant_inst,[status(thm)],[])).
% 8.41/5.93 tff(10157,plain,
% 8.41/5.93 ((~![B: $i] : ((~less_3(B)) | (v124(constB3, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v124(constB3, bitIndex2) <=> b010(bitIndex2))),
% 8.41/5.93 inference(modus_ponens,[status(thm)],[10156, 10155])).
% 8.41/5.93 tff(10158,plain,
% 8.41/5.93 (v124(constB3, bitIndex2) <=> b010(bitIndex2)),
% 8.41/5.93 inference(unit_resolution,[status(thm)],[10157, 832, 10154])).
% 8.41/5.93 tff(10159,plain,
% 8.41/5.93 ((~b010(bitIndex2)) <=> (~b010(bitIndex2))),
% 8.41/5.93 inference(rewrite,[status(thm)],[])).
% 8.41/5.93 tff(10160,axiom,(~b010(bitIndex2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bitBlastConstant_8')).
% 8.41/5.93 tff(10161,plain,
% 8.41/5.93 (~b010(bitIndex2)),
% 8.41/5.93 inference(modus_ponens,[status(thm)],[10160, 10159])).
% 8.41/5.93 tff(10162,plain,
% 8.41/5.93 ((~(v124(constB3, bitIndex2) <=> b010(bitIndex2))) | (~v124(constB3, bitIndex2)) | b010(bitIndex2)),
% 8.41/5.93 inference(tautology,[status(thm)],[])).
% 8.41/5.93 tff(10163,plain,
% 8.41/5.93 ((~(v124(constB3, bitIndex2) <=> b010(bitIndex2))) | (~v124(constB3, bitIndex2))),
% 8.41/5.93 inference(unit_resolution,[status(thm)],[10162, 10161])).
% 8.41/5.93 tff(10164,plain,
% 8.41/5.93 (~v124(constB3, bitIndex2)),
% 8.41/5.93 inference(unit_resolution,[status(thm)],[10163, 10158])).
% 8.41/5.93 tff(10165,plain,
% 8.41/5.93 ((~(v121(constB3, bitIndex2) <=> v124(constB3, bitIndex2))) | (~v121(constB3, bitIndex2)) | v124(constB3, bitIndex2)),
% 8.41/5.93 inference(tautology,[status(thm)],[])).
% 8.41/5.93 tff(10166,plain,
% 8.41/5.93 (~v121(constB3, bitIndex2)),
% 8.41/5.93 inference(unit_resolution,[status(thm)],[10165, 10164, 10136])).
% 8.41/5.93 tff(10167,plain,
% 8.41/5.93 ((~(v123(constB4, bitIndex2) <=> v121(constB3, bitIndex2))) | (~v123(constB4, bitIndex2)) | v121(constB3, bitIndex2)),
% 8.41/5.93 inference(tautology,[status(thm)],[])).
% 8.41/5.93 tff(10168,plain,
% 8.41/5.93 (~v123(constB4, bitIndex2)),
% 8.41/5.93 inference(unit_resolution,[status(thm)],[10167, 10166, 10128])).
% 8.41/5.93 tff(10169,plain,
% 8.41/5.93 ((~(v84(constB4, bitIndex2) <=> v123(constB4, bitIndex2))) | (~v84(constB4, bitIndex2)) | v123(constB4, bitIndex2)),
% 8.41/5.93 inference(tautology,[status(thm)],[])).
% 8.41/5.93 tff(10170,plain,
% 8.41/5.93 (~v84(constB4, bitIndex2)),
% 8.41/5.93 inference(unit_resolution,[status(thm)],[10169, 10168, 10120])).
% 8.41/5.93 tff(10171,plain,
% 8.41/5.93 ((~(v84(constB5, bitIndex2) <=> v84(constB4, bitIndex2))) | (~v84(constB5, bitIndex2)) | v84(constB4, bitIndex2)),
% 8.41/5.93 inference(tautology,[status(thm)],[])).
% 8.41/5.93 tff(10172,plain,
% 8.41/5.93 (~v84(constB5, bitIndex2)),
% 8.41/5.93 inference(unit_resolution,[status(thm)],[10171, 10170, 9571])).
% 8.41/5.93 tff(10173,plain,
% 8.41/5.93 (((~![B: $i] : ((~less_3(B)) | (v84(constB5, B) <=> v84(constB4, B)))) | ((~less_3(bitIndex0)) | (v84(constB5, bitIndex0) <=> v84(constB4, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB5, B) <=> v84(constB4, B)))) | (~less_3(bitIndex0)) | (v84(constB5, bitIndex0) <=> v84(constB4, bitIndex0)))),
% 8.41/5.93 inference(rewrite,[status(thm)],[])).
% 8.41/5.93 tff(10174,plain,
% 8.41/5.93 ((~![B: $i] : ((~less_3(B)) | (v84(constB5, B) <=> v84(constB4, B)))) | ((~less_3(bitIndex0)) | (v84(constB5, bitIndex0) <=> v84(constB4, bitIndex0)))),
% 8.41/5.93 inference(quant_inst,[status(thm)],[])).
% 8.41/5.93 tff(10175,plain,
% 8.41/5.93 ((~![B: $i] : ((~less_3(B)) | (v84(constB5, B) <=> v84(constB4, B)))) | (~less_3(bitIndex0)) | (v84(constB5, bitIndex0) <=> v84(constB4, bitIndex0))),
% 8.41/5.93 inference(modus_ponens,[status(thm)],[10174, 10173])).
% 8.41/5.93 tff(10176,plain,
% 8.41/5.93 (v84(constB5, bitIndex0) <=> v84(constB4, bitIndex0)),
% 8.41/5.93 inference(unit_resolution,[status(thm)],[10175, 9772, 9567])).
% 8.41/5.93 tff(10177,plain,
% 8.41/5.93 (((~![B: $i] : ((~less_3(B)) | (v84(constB4, B) <=> v123(constB4, B)))) | ((~less_3(bitIndex0)) | (v84(constB4, bitIndex0) <=> v123(constB4, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB4, B) <=> v123(constB4, B)))) | (~less_3(bitIndex0)) | (v84(constB4, bitIndex0) <=> v123(constB4, bitIndex0)))),
% 8.41/5.93 inference(rewrite,[status(thm)],[])).
% 8.41/5.93 tff(10178,plain,
% 8.41/5.93 ((~![B: $i] : ((~less_3(B)) | (v84(constB4, B) <=> v123(constB4, B)))) | ((~less_3(bitIndex0)) | (v84(constB4, bitIndex0) <=> v123(constB4, bitIndex0)))),
% 8.41/5.93 inference(quant_inst,[status(thm)],[])).
% 8.41/5.93 tff(10179,plain,
% 8.41/5.93 ((~![B: $i] : ((~less_3(B)) | (v84(constB4, B) <=> v123(constB4, B)))) | (~less_3(bitIndex0)) | (v84(constB4, bitIndex0) <=> v123(constB4, bitIndex0))),
% 8.41/5.93 inference(modus_ponens,[status(thm)],[10178, 10177])).
% 8.41/5.94 tff(10180,plain,
% 8.41/5.94 (v84(constB4, bitIndex0) <=> v123(constB4, bitIndex0)),
% 8.41/5.94 inference(unit_resolution,[status(thm)],[10179, 9772, 10116])).
% 8.41/5.94 tff(10181,plain,
% 8.41/5.94 (((~![B: $i] : ((~less_3(B)) | (v123(constB4, B) <=> v121(constB3, B)))) | ((~less_3(bitIndex0)) | (v123(constB4, bitIndex0) <=> v121(constB3, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB4, B) <=> v121(constB3, B)))) | (~less_3(bitIndex0)) | (v123(constB4, bitIndex0) <=> v121(constB3, bitIndex0)))),
% 8.41/5.94 inference(rewrite,[status(thm)],[])).
% 8.41/5.94 tff(10182,plain,
% 8.41/5.94 ((~![B: $i] : ((~less_3(B)) | (v123(constB4, B) <=> v121(constB3, B)))) | ((~less_3(bitIndex0)) | (v123(constB4, bitIndex0) <=> v121(constB3, bitIndex0)))),
% 8.41/5.94 inference(quant_inst,[status(thm)],[])).
% 8.41/5.94 tff(10183,plain,
% 8.41/5.94 ((~![B: $i] : ((~less_3(B)) | (v123(constB4, B) <=> v121(constB3, B)))) | (~less_3(bitIndex0)) | (v123(constB4, bitIndex0) <=> v121(constB3, bitIndex0))),
% 8.41/5.94 inference(modus_ponens,[status(thm)],[10182, 10181])).
% 8.41/5.94 tff(10184,plain,
% 8.41/5.94 (v123(constB4, bitIndex0) <=> v121(constB3, bitIndex0)),
% 8.41/5.94 inference(unit_resolution,[status(thm)],[10183, 9772, 10124])).
% 8.41/5.94 tff(10185,plain,
% 8.41/5.94 (((~![B: $i] : ((~less_3(B)) | (v121(constB3, B) <=> v124(constB3, B)))) | ((~less_3(bitIndex0)) | (v121(constB3, bitIndex0) <=> v124(constB3, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB3, B) <=> v124(constB3, B)))) | (~less_3(bitIndex0)) | (v121(constB3, bitIndex0) <=> v124(constB3, bitIndex0)))),
% 8.41/5.94 inference(rewrite,[status(thm)],[])).
% 8.41/5.94 tff(10186,plain,
% 8.41/5.94 ((~![B: $i] : ((~less_3(B)) | (v121(constB3, B) <=> v124(constB3, B)))) | ((~less_3(bitIndex0)) | (v121(constB3, bitIndex0) <=> v124(constB3, bitIndex0)))),
% 8.41/5.94 inference(quant_inst,[status(thm)],[])).
% 8.41/5.94 tff(10187,plain,
% 8.41/5.94 ((~![B: $i] : ((~less_3(B)) | (v121(constB3, B) <=> v124(constB3, B)))) | (~less_3(bitIndex0)) | (v121(constB3, bitIndex0) <=> v124(constB3, bitIndex0))),
% 8.41/5.94 inference(modus_ponens,[status(thm)],[10186, 10185])).
% 8.41/5.94 tff(10188,plain,
% 8.41/5.94 (v121(constB3, bitIndex0) <=> v124(constB3, bitIndex0)),
% 8.41/5.94 inference(unit_resolution,[status(thm)],[10187, 9772, 10132])).
% 8.41/5.94 tff(10189,plain,
% 8.41/5.94 (((~![B: $i] : ((~less_3(B)) | (v124(constB3, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v124(constB3, bitIndex0) <=> b010(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB3, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v124(constB3, bitIndex0) <=> b010(bitIndex0)))),
% 8.41/5.94 inference(rewrite,[status(thm)],[])).
% 8.41/5.94 tff(10190,plain,
% 8.41/5.94 ((~![B: $i] : ((~less_3(B)) | (v124(constB3, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v124(constB3, bitIndex0) <=> b010(bitIndex0)))),
% 8.41/5.94 inference(quant_inst,[status(thm)],[])).
% 8.41/5.94 tff(10191,plain,
% 8.41/5.94 ((~![B: $i] : ((~less_3(B)) | (v124(constB3, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v124(constB3, bitIndex0) <=> b010(bitIndex0))),
% 8.41/5.94 inference(modus_ponens,[status(thm)],[10190, 10189])).
% 8.41/5.94 tff(10192,plain,
% 8.41/5.94 (v124(constB3, bitIndex0) <=> b010(bitIndex0)),
% 8.41/5.94 inference(unit_resolution,[status(thm)],[10191, 9772, 10154])).
% 8.41/5.94 tff(10193,plain,
% 8.41/5.94 ((~b010(bitIndex0)) <=> (~b010(bitIndex0))),
% 8.41/5.94 inference(rewrite,[status(thm)],[])).
% 8.41/5.94 tff(10194,axiom,(~b010(bitIndex0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bitBlastConstant_6')).
% 8.41/5.94 tff(10195,plain,
% 8.41/5.94 (~b010(bitIndex0)),
% 8.41/5.94 inference(modus_ponens,[status(thm)],[10194, 10193])).
% 8.41/5.94 tff(10196,plain,
% 8.41/5.94 ((~(v124(constB3, bitIndex0) <=> b010(bitIndex0))) | (~v124(constB3, bitIndex0)) | b010(bitIndex0)),
% 8.41/5.94 inference(tautology,[status(thm)],[])).
% 8.41/5.94 tff(10197,plain,
% 8.41/5.94 ((~(v124(constB3, bitIndex0) <=> b010(bitIndex0))) | (~v124(constB3, bitIndex0))),
% 8.41/5.94 inference(unit_resolution,[status(thm)],[10196, 10195])).
% 8.41/5.94 tff(10198,plain,
% 8.41/5.94 (~v124(constB3, bitIndex0)),
% 8.41/5.94 inference(unit_resolution,[status(thm)],[10197, 10192])).
% 8.41/5.94 tff(10199,plain,
% 8.41/5.94 ((~(v121(constB3, bitIndex0) <=> v124(constB3, bitIndex0))) | (~v121(constB3, bitIndex0)) | v124(constB3, bitIndex0)),
% 8.41/5.94 inference(tautology,[status(thm)],[])).
% 8.41/5.94 tff(10200,plain,
% 8.41/5.94 (~v121(constB3, bitIndex0)),
% 8.41/5.94 inference(unit_resolution,[status(thm)],[10199, 10198, 10188])).
% 8.41/5.94 tff(10201,plain,
% 8.41/5.94 ((~(v123(constB4, bitIndex0) <=> v121(constB3, bitIndex0))) | (~v123(constB4, bitIndex0)) | v121(constB3, bitIndex0)),
% 8.41/5.94 inference(tautology,[status(thm)],[])).
% 8.41/5.94 tff(10202,plain,
% 8.41/5.94 (~v123(constB4, bitIndex0)),
% 8.41/5.94 inference(unit_resolution,[status(thm)],[10201, 10200, 10184])).
% 8.41/5.94 tff(10203,plain,
% 8.41/5.94 ((~(v84(constB4, bitIndex0) <=> v123(constB4, bitIndex0))) | (~v84(constB4, bitIndex0)) | v123(constB4, bitIndex0)),
% 8.41/5.94 inference(tautology,[status(thm)],[])).
% 8.41/5.94 tff(10204,plain,
% 8.41/5.94 (~v84(constB4, bitIndex0)),
% 8.41/5.94 inference(unit_resolution,[status(thm)],[10203, 10202, 10180])).
% 8.41/5.94 tff(10205,plain,
% 8.41/5.94 ((~(v84(constB5, bitIndex0) <=> v84(constB4, bitIndex0))) | (~v84(constB5, bitIndex0)) | v84(constB4, bitIndex0)),
% 8.41/5.94 inference(tautology,[status(thm)],[])).
% 8.41/5.94 tff(10206,plain,
% 8.41/5.94 (~v84(constB5, bitIndex0)),
% 8.41/5.94 inference(unit_resolution,[status(thm)],[10205, 10204, 10176])).
% 8.41/5.94 tff(10207,plain,
% 8.41/5.94 (((~![B: $i] : ((~less_3(B)) | (v84(constB5, B) <=> v84(constB4, B)))) | ((~less_3(bitIndex1)) | (v84(constB5, bitIndex1) <=> v84(constB4, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB5, B) <=> v84(constB4, B)))) | (~less_3(bitIndex1)) | (v84(constB5, bitIndex1) <=> v84(constB4, bitIndex1)))),
% 8.41/5.94 inference(rewrite,[status(thm)],[])).
% 8.41/5.94 tff(10208,plain,
% 8.41/5.94 ((~![B: $i] : ((~less_3(B)) | (v84(constB5, B) <=> v84(constB4, B)))) | ((~less_3(bitIndex1)) | (v84(constB5, bitIndex1) <=> v84(constB4, bitIndex1)))),
% 8.41/5.94 inference(quant_inst,[status(thm)],[])).
% 8.41/5.94 tff(10209,plain,
% 8.41/5.94 ((~![B: $i] : ((~less_3(B)) | (v84(constB5, B) <=> v84(constB4, B)))) | (~less_3(bitIndex1)) | (v84(constB5, bitIndex1) <=> v84(constB4, bitIndex1))),
% 8.41/5.94 inference(modus_ponens,[status(thm)],[10208, 10207])).
% 8.41/5.94 tff(10210,plain,
% 8.41/5.94 (v84(constB5, bitIndex1) <=> v84(constB4, bitIndex1)),
% 8.41/5.94 inference(unit_resolution,[status(thm)],[10209, 9785, 9567])).
% 8.41/5.94 tff(10211,plain,
% 8.41/5.94 (((~![B: $i] : ((~less_3(B)) | (v84(constB4, B) <=> v123(constB4, B)))) | ((~less_3(bitIndex1)) | (v84(constB4, bitIndex1) <=> v123(constB4, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB4, B) <=> v123(constB4, B)))) | (~less_3(bitIndex1)) | (v84(constB4, bitIndex1) <=> v123(constB4, bitIndex1)))),
% 8.41/5.94 inference(rewrite,[status(thm)],[])).
% 8.41/5.94 tff(10212,plain,
% 8.41/5.94 ((~![B: $i] : ((~less_3(B)) | (v84(constB4, B) <=> v123(constB4, B)))) | ((~less_3(bitIndex1)) | (v84(constB4, bitIndex1) <=> v123(constB4, bitIndex1)))),
% 8.41/5.94 inference(quant_inst,[status(thm)],[])).
% 8.41/5.94 tff(10213,plain,
% 8.41/5.94 ((~![B: $i] : ((~less_3(B)) | (v84(constB4, B) <=> v123(constB4, B)))) | (~less_3(bitIndex1)) | (v84(constB4, bitIndex1) <=> v123(constB4, bitIndex1))),
% 8.41/5.94 inference(modus_ponens,[status(thm)],[10212, 10211])).
% 8.41/5.94 tff(10214,plain,
% 8.41/5.94 (v84(constB4, bitIndex1) <=> v123(constB4, bitIndex1)),
% 8.41/5.94 inference(unit_resolution,[status(thm)],[10213, 9785, 10116])).
% 8.41/5.94 tff(10215,plain,
% 8.41/5.94 (((~![B: $i] : ((~less_3(B)) | (v123(constB4, B) <=> v121(constB3, B)))) | ((~less_3(bitIndex1)) | (v123(constB4, bitIndex1) <=> v121(constB3, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB4, B) <=> v121(constB3, B)))) | (~less_3(bitIndex1)) | (v123(constB4, bitIndex1) <=> v121(constB3, bitIndex1)))),
% 8.41/5.94 inference(rewrite,[status(thm)],[])).
% 8.41/5.94 tff(10216,plain,
% 8.41/5.94 ((~![B: $i] : ((~less_3(B)) | (v123(constB4, B) <=> v121(constB3, B)))) | ((~less_3(bitIndex1)) | (v123(constB4, bitIndex1) <=> v121(constB3, bitIndex1)))),
% 8.41/5.94 inference(quant_inst,[status(thm)],[])).
% 8.41/5.94 tff(10217,plain,
% 8.41/5.94 ((~![B: $i] : ((~less_3(B)) | (v123(constB4, B) <=> v121(constB3, B)))) | (~less_3(bitIndex1)) | (v123(constB4, bitIndex1) <=> v121(constB3, bitIndex1))),
% 8.41/5.94 inference(modus_ponens,[status(thm)],[10216, 10215])).
% 8.41/5.94 tff(10218,plain,
% 8.41/5.94 (v123(constB4, bitIndex1) <=> v121(constB3, bitIndex1)),
% 8.41/5.94 inference(unit_resolution,[status(thm)],[10217, 9785, 10124])).
% 8.41/5.94 tff(10219,plain,
% 8.41/5.94 (((~![B: $i] : ((~less_3(B)) | (v121(constB3, B) <=> v124(constB3, B)))) | ((~less_3(bitIndex1)) | (v121(constB3, bitIndex1) <=> v124(constB3, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB3, B) <=> v124(constB3, B)))) | (~less_3(bitIndex1)) | (v121(constB3, bitIndex1) <=> v124(constB3, bitIndex1)))),
% 8.41/5.94 inference(rewrite,[status(thm)],[])).
% 8.41/5.94 tff(10220,plain,
% 8.41/5.94 ((~![B: $i] : ((~less_3(B)) | (v121(constB3, B) <=> v124(constB3, B)))) | ((~less_3(bitIndex1)) | (v121(constB3, bitIndex1) <=> v124(constB3, bitIndex1)))),
% 8.41/5.94 inference(quant_inst,[status(thm)],[])).
% 8.41/5.94 tff(10221,plain,
% 8.41/5.94 ((~![B: $i] : ((~less_3(B)) | (v121(constB3, B) <=> v124(constB3, B)))) | (~less_3(bitIndex1)) | (v121(constB3, bitIndex1) <=> v124(constB3, bitIndex1))),
% 8.41/5.94 inference(modus_ponens,[status(thm)],[10220, 10219])).
% 8.41/5.94 tff(10222,plain,
% 8.41/5.94 (v121(constB3, bitIndex1) <=> v124(constB3, bitIndex1)),
% 8.41/5.94 inference(unit_resolution,[status(thm)],[10221, 9785, 10132])).
% 8.41/5.94 tff(10223,plain,
% 8.41/5.94 (((~![B: $i] : ((~less_3(B)) | (v124(constB3, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v124(constB3, bitIndex1) <=> b010(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB3, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v124(constB3, bitIndex1) <=> b010(bitIndex1)))),
% 8.41/5.94 inference(rewrite,[status(thm)],[])).
% 8.41/5.94 tff(10224,plain,
% 8.41/5.94 ((~![B: $i] : ((~less_3(B)) | (v124(constB3, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v124(constB3, bitIndex1) <=> b010(bitIndex1)))),
% 8.41/5.94 inference(quant_inst,[status(thm)],[])).
% 8.41/5.94 tff(10225,plain,
% 8.41/5.94 ((~![B: $i] : ((~less_3(B)) | (v124(constB3, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v124(constB3, bitIndex1) <=> b010(bitIndex1))),
% 8.41/5.94 inference(modus_ponens,[status(thm)],[10224, 10223])).
% 8.41/5.94 tff(10226,plain,
% 8.41/5.94 (v124(constB3, bitIndex1) <=> b010(bitIndex1)),
% 8.41/5.94 inference(unit_resolution,[status(thm)],[10225, 9785, 10154])).
% 8.41/5.94 tff(10227,plain,
% 8.41/5.94 (b010(bitIndex1) <=> b010(bitIndex1)),
% 8.41/5.94 inference(rewrite,[status(thm)],[])).
% 8.41/5.94 tff(10228,axiom,(b010(bitIndex1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bitBlastConstant_7')).
% 8.41/5.94 tff(10229,plain,
% 8.41/5.94 (b010(bitIndex1)),
% 8.41/5.94 inference(modus_ponens,[status(thm)],[10228, 10227])).
% 8.41/5.94 tff(10230,plain,
% 8.41/5.94 ((~(v124(constB3, bitIndex1) <=> b010(bitIndex1))) | v124(constB3, bitIndex1) | (~b010(bitIndex1))),
% 8.41/5.94 inference(tautology,[status(thm)],[])).
% 8.41/5.94 tff(10231,plain,
% 8.41/5.94 ((~(v124(constB3, bitIndex1) <=> b010(bitIndex1))) | v124(constB3, bitIndex1)),
% 8.41/5.94 inference(unit_resolution,[status(thm)],[10230, 10229])).
% 8.41/5.94 tff(10232,plain,
% 8.41/5.94 (v124(constB3, bitIndex1)),
% 8.41/5.94 inference(unit_resolution,[status(thm)],[10231, 10226])).
% 8.41/5.94 tff(10233,plain,
% 8.41/5.94 ((~(v121(constB3, bitIndex1) <=> v124(constB3, bitIndex1))) | v121(constB3, bitIndex1) | (~v124(constB3, bitIndex1))),
% 8.41/5.94 inference(tautology,[status(thm)],[])).
% 8.41/5.94 tff(10234,plain,
% 8.41/5.94 (v121(constB3, bitIndex1)),
% 8.41/5.94 inference(unit_resolution,[status(thm)],[10233, 10232, 10222])).
% 8.41/5.94 tff(10235,plain,
% 8.41/5.94 ((~(v123(constB4, bitIndex1) <=> v121(constB3, bitIndex1))) | v123(constB4, bitIndex1) | (~v121(constB3, bitIndex1))),
% 8.41/5.94 inference(tautology,[status(thm)],[])).
% 8.41/5.94 tff(10236,plain,
% 8.41/5.94 (v123(constB4, bitIndex1)),
% 8.41/5.94 inference(unit_resolution,[status(thm)],[10235, 10234, 10218])).
% 8.41/5.94 tff(10237,plain,
% 8.41/5.94 ((~(v84(constB4, bitIndex1) <=> v123(constB4, bitIndex1))) | v84(constB4, bitIndex1) | (~v123(constB4, bitIndex1))),
% 8.41/5.94 inference(tautology,[status(thm)],[])).
% 8.41/5.94 tff(10238,plain,
% 8.41/5.94 (v84(constB4, bitIndex1)),
% 8.41/5.94 inference(unit_resolution,[status(thm)],[10237, 10236, 10214])).
% 8.41/5.94 tff(10239,plain,
% 8.41/5.94 ((~(v84(constB5, bitIndex1) <=> v84(constB4, bitIndex1))) | v84(constB5, bitIndex1) | (~v84(constB4, bitIndex1))),
% 8.41/5.94 inference(tautology,[status(thm)],[])).
% 8.41/5.94 tff(10240,plain,
% 8.41/5.94 (v84(constB5, bitIndex1)),
% 8.41/5.94 inference(unit_resolution,[status(thm)],[10239, 10238, 10210])).
% 8.41/5.94 tff(10241,plain,
% 8.41/5.94 ((~(v84(constB5, bitIndex2) | (~v84(constB5, bitIndex1)) | v84(constB5, bitIndex0))) | v84(constB5, bitIndex2) | (~v84(constB5, bitIndex1)) | v84(constB5, bitIndex0)),
% 8.41/5.94 inference(tautology,[status(thm)],[])).
% 8.41/5.94 tff(10242,plain,
% 8.41/5.94 (~(v84(constB5, bitIndex2) | (~v84(constB5, bitIndex1)) | v84(constB5, bitIndex0))),
% 8.41/5.94 inference(unit_resolution,[status(thm)],[10241, 10240, 10206, 10172])).
% 8.41/5.94 tff(10243,plain,
% 8.41/5.94 ((~(v115(constB5) <=> (~(v84(constB5, bitIndex2) | (~v84(constB5, bitIndex1)) | v84(constB5, bitIndex0))))) | v115(constB5) | (v84(constB5, bitIndex2) | (~v84(constB5, bitIndex1)) | v84(constB5, bitIndex0))),
% 8.41/5.94 inference(tautology,[status(thm)],[])).
% 8.41/5.94 tff(10244,plain,
% 8.41/5.94 (v115(constB5)),
% 8.41/5.94 inference(unit_resolution,[status(thm)],[10243, 10242, 9539])).
% 8.41/5.94 tff(10245,plain,
% 8.41/5.94 ((v112(constB5) | v115(constB5)) | (~v115(constB5))),
% 8.41/5.94 inference(tautology,[status(thm)],[])).
% 8.41/5.94 tff(10246,plain,
% 8.41/5.94 (v112(constB5) | v115(constB5)),
% 8.41/5.94 inference(unit_resolution,[status(thm)],[10245, 10244])).
% 8.41/5.94 tff(10247,plain,
% 8.41/5.94 ((~(v111(constB5) <=> (v112(constB5) | v115(constB5)))) | v111(constB5) | (~(v112(constB5) | v115(constB5)))),
% 8.41/5.94 inference(tautology,[status(thm)],[])).
% 8.41/5.94 tff(10248,plain,
% 8.41/5.94 (v111(constB5)),
% 8.41/5.94 inference(unit_resolution,[status(thm)],[10247, 10246, 9532])).
% 8.41/5.94 tff(10249,plain,
% 8.41/5.94 ((v111(constB5) | v116(constB5)) | (~v111(constB5))),
% 8.41/5.94 inference(tautology,[status(thm)],[])).
% 8.41/5.94 tff(10250,plain,
% 8.41/5.94 (v111(constB5) | v116(constB5)),
% 8.41/5.94 inference(unit_resolution,[status(thm)],[10249, 10248])).
% 8.41/5.94 tff(10251,plain,
% 8.41/5.94 ((~(v110(constB5) <=> (v111(constB5) | v116(constB5)))) | v110(constB5) | (~(v111(constB5) | v116(constB5)))),
% 8.41/5.94 inference(tautology,[status(thm)],[])).
% 8.41/5.94 tff(10252,plain,
% 8.41/5.94 (v110(constB5)),
% 8.41/5.94 inference(unit_resolution,[status(thm)],[10251, 10250, 9530])).
% 8.41/5.94 tff(10253,plain,
% 8.41/5.94 ((v110(constB5) | v117(constB5)) | (~v110(constB5))),
% 8.41/5.94 inference(tautology,[status(thm)],[])).
% 8.41/5.94 tff(10254,plain,
% 8.41/5.94 (v110(constB5) | v117(constB5)),
% 8.41/5.94 inference(unit_resolution,[status(thm)],[10253, 10252])).
% 8.41/5.94 tff(10255,plain,
% 8.41/5.94 ((~(v109(constB5) <=> (v110(constB5) | v117(constB5)))) | v109(constB5) | (~(v110(constB5) | v117(constB5)))),
% 8.41/5.94 inference(tautology,[status(thm)],[])).
% 8.41/5.94 tff(10256,plain,
% 8.41/5.94 (v109(constB5)),
% 8.41/5.94 inference(unit_resolution,[status(thm)],[10255, 10254, 9528])).
% 8.41/5.94 tff(10257,plain,
% 8.41/5.94 ((v109(constB5) | v118(constB5)) | (~v109(constB5))),
% 8.41/5.94 inference(tautology,[status(thm)],[])).
% 8.41/5.94 tff(10258,plain,
% 8.41/5.94 (v109(constB5) | v118(constB5)),
% 8.41/5.94 inference(unit_resolution,[status(thm)],[10257, 10256])).
% 8.41/5.94 tff(10259,plain,
% 8.41/5.94 ((~(v108(constB5) <=> (v109(constB5) | v118(constB5)))) | v108(constB5) | (~(v109(constB5) | v118(constB5)))),
% 8.41/5.94 inference(tautology,[status(thm)],[])).
% 8.41/5.94 tff(10260,plain,
% 8.41/5.94 (v108(constB5)),
% 8.41/5.94 inference(unit_resolution,[status(thm)],[10259, 10258, 9526])).
% 8.41/5.94 tff(10261,plain,
% 8.41/5.94 ((v108(constB5) | v119(constB5)) | (~v108(constB5))),
% 8.41/5.94 inference(tautology,[status(thm)],[])).
% 8.41/5.94 tff(10262,plain,
% 8.41/5.94 (v108(constB5) | v119(constB5)),
% 8.41/5.94 inference(unit_resolution,[status(thm)],[10261, 10260])).
% 8.41/5.94 tff(10263,plain,
% 8.41/5.94 ((~(v107(constB5) <=> (v108(constB5) | v119(constB5)))) | v107(constB5) | (~(v108(constB5) | v119(constB5)))),
% 8.41/5.94 inference(tautology,[status(thm)],[])).
% 8.41/5.94 tff(10264,plain,
% 8.41/5.94 (v107(constB5)),
% 8.41/5.94 inference(unit_resolution,[status(thm)],[10263, 10262, 9524])).
% 8.41/5.94 tff(10265,plain,
% 8.41/5.94 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB5)) <=> v105(constB5))),
% 8.41/5.94 inference(quant_inst,[status(thm)],[])).
% 8.41/5.94 tff(10266,plain,
% 8.41/5.94 ((~v120(constB5)) <=> v105(constB5)),
% 8.41/5.94 inference(unit_resolution,[status(thm)],[10265, 9842])).
% 8.41/5.94 tff(10267,plain,
% 8.41/5.94 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB5) <=> v26(constB5))),
% 8.41/5.94 inference(quant_inst,[status(thm)],[])).
% 8.41/5.94 tff(10268,plain,
% 8.41/5.94 (v105(constB5) <=> v26(constB5)),
% 8.41/5.94 inference(unit_resolution,[status(thm)],[10267, 9854])).
% 8.41/5.94 tff(10269,plain,
% 8.41/5.94 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB5))),
% 8.41/5.94 inference(quant_inst,[status(thm)],[])).
% 8.41/5.94 tff(10270,plain,
% 8.41/5.94 (~v26(constB5)),
% 8.41/5.94 inference(unit_resolution,[status(thm)],[10269, 9866])).
% 8.41/5.94 tff(10271,plain,
% 8.41/5.94 ((~(v105(constB5) <=> v26(constB5))) | (~v105(constB5)) | v26(constB5)),
% 8.41/5.94 inference(tautology,[status(thm)],[])).
% 8.41/5.94 tff(10272,plain,
% 8.41/5.94 ((~(v105(constB5) <=> v26(constB5))) | (~v105(constB5))),
% 8.41/5.94 inference(unit_resolution,[status(thm)],[10271, 10270])).
% 8.41/5.94 tff(10273,plain,
% 8.41/5.94 (~v105(constB5)),
% 8.41/5.94 inference(unit_resolution,[status(thm)],[10272, 10268])).
% 8.41/5.94 tff(10274,plain,
% 8.41/5.94 ((~((~v120(constB5)) <=> v105(constB5))) | v120(constB5) | v105(constB5)),
% 8.41/5.94 inference(tautology,[status(thm)],[])).
% 8.41/5.94 tff(10275,plain,
% 8.41/5.94 ((~((~v120(constB5)) <=> v105(constB5))) | v120(constB5)),
% 8.41/5.94 inference(unit_resolution,[status(thm)],[10274, 10273])).
% 8.41/5.94 tff(10276,plain,
% 8.41/5.94 (v120(constB5)),
% 8.41/5.94 inference(unit_resolution,[status(thm)],[10275, 10266])).
% 8.41/5.94 tff(10277,plain,
% 8.41/5.94 ((~((~v107(constB5)) | (~v120(constB5)))) | (~v107(constB5)) | (~v120(constB5))),
% 8.41/5.94 inference(tautology,[status(thm)],[])).
% 8.41/5.94 tff(10278,plain,
% 8.41/5.94 ((~((~v107(constB5)) | (~v120(constB5)))) | (~v107(constB5))),
% 8.41/5.94 inference(unit_resolution,[status(thm)],[10277, 10276])).
% 8.41/5.94 tff(10279,plain,
% 8.41/5.94 (~((~v107(constB5)) | (~v120(constB5)))),
% 8.41/5.94 inference(unit_resolution,[status(thm)],[10278, 10264])).
% 8.41/5.94 tff(10280,plain,
% 8.41/5.94 ((~(v106(constB5) <=> (~((~v107(constB5)) | (~v120(constB5)))))) | v106(constB5) | ((~v107(constB5)) | (~v120(constB5)))),
% 8.41/5.94 inference(tautology,[status(thm)],[])).
% 8.41/5.94 tff(10281,plain,
% 8.41/5.94 (v106(constB5)),
% 8.41/5.94 inference(unit_resolution,[status(thm)],[10280, 10279, 9522])).
% 8.41/5.94 tff(10282,plain,
% 8.41/5.94 ((v105(constB5) | v106(constB5)) | (~v106(constB5))),
% 8.41/5.94 inference(tautology,[status(thm)],[])).
% 8.41/5.94 tff(10283,plain,
% 8.41/5.94 (v105(constB5) | v106(constB5)),
% 8.41/5.94 inference(unit_resolution,[status(thm)],[10282, 10281])).
% 8.41/5.94 tff(10284,plain,
% 8.41/5.94 ((~(v102(constB5) <=> (v105(constB5) | v106(constB5)))) | v102(constB5) | (~(v105(constB5) | v106(constB5)))),
% 8.41/5.94 inference(tautology,[status(thm)],[])).
% 8.41/5.94 tff(10285,plain,
% 8.41/5.94 (v102(constB5)),
% 8.41/5.94 inference(unit_resolution,[status(thm)],[10284, 10283, 9520])).
% 8.41/5.94 tff(10286,plain,
% 8.41/5.94 ((~(v104(constB6) <=> v102(constB5))) | v104(constB6) | (~v102(constB5))),
% 8.41/5.94 inference(tautology,[status(thm)],[])).
% 8.41/5.94 tff(10287,plain,
% 8.41/5.94 (v104(constB6)),
% 8.41/5.94 inference(unit_resolution,[status(thm)],[10286, 10285, 9518])).
% 8.41/5.94 tff(10288,plain,
% 8.41/5.94 ((~((~v104(constB6)) | (~v95(constB6)))) | (~v104(constB6)) | (~v95(constB6))),
% 8.41/5.94 inference(tautology,[status(thm)],[])).
% 8.41/5.94 tff(10289,plain,
% 8.41/5.94 (~((~v104(constB6)) | (~v95(constB6)))),
% 8.41/5.94 inference(unit_resolution,[status(thm)],[10288, 10287, 9514])).
% 8.41/5.94 tff(10290,plain,
% 8.41/5.94 ((~(v94(constB6) <=> (~((~v104(constB6)) | (~v95(constB6)))))) | v94(constB6) | ((~v104(constB6)) | (~v95(constB6)))),
% 8.41/5.94 inference(tautology,[status(thm)],[])).
% 8.41/5.94 tff(10291,plain,
% 8.41/5.94 (v94(constB6)),
% 8.41/5.94 inference(unit_resolution,[status(thm)],[10290, 10289, 9483])).
% 8.41/5.94 tff(10292,plain,
% 8.41/5.94 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB6)) | ![B: $i] : ((~less_3(B)) | (v84(constB6, B) <=> v123(constB6, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB6)) | ![B: $i] : ((~less_3(B)) | (v84(constB6, B) <=> v123(constB6, B))))),
% 8.41/5.94 inference(rewrite,[status(thm)],[])).
% 8.41/5.94 tff(10293,plain,
% 8.41/5.94 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB6)) | ![B: $i] : ((~less_3(B)) | (v84(constB6, B) <=> v123(constB6, B))))),
% 8.41/5.94 inference(quant_inst,[status(thm)],[])).
% 8.41/5.94 tff(10294,plain,
% 8.41/5.94 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB6)) | ![B: $i] : ((~less_3(B)) | (v84(constB6, B) <=> v123(constB6, B)))),
% 8.41/5.94 inference(modus_ponens,[status(thm)],[10293, 10292])).
% 8.41/5.94 tff(10295,plain,
% 8.41/5.94 ((~v94(constB6)) | ![B: $i] : ((~less_3(B)) | (v84(constB6, B) <=> v123(constB6, B)))),
% 8.41/5.94 inference(unit_resolution,[status(thm)],[10294, 9902])).
% 8.41/5.94 tff(10296,plain,
% 8.41/5.94 (![B: $i] : ((~less_3(B)) | (v84(constB6, B) <=> v123(constB6, B)))),
% 8.41/5.94 inference(unit_resolution,[status(thm)],[10295, 10291])).
% 8.41/5.94 tff(10297,plain,
% 8.41/5.94 (((~![B: $i] : ((~less_3(B)) | (v84(constB6, B) <=> v123(constB6, B)))) | ((~less_3(bitIndex2)) | (v84(constB6, bitIndex2) <=> v123(constB6, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB6, B) <=> v123(constB6, B)))) | (~less_3(bitIndex2)) | (v84(constB6, bitIndex2) <=> v123(constB6, bitIndex2)))),
% 8.41/5.94 inference(rewrite,[status(thm)],[])).
% 8.41/5.94 tff(10298,plain,
% 8.41/5.94 ((~![B: $i] : ((~less_3(B)) | (v84(constB6, B) <=> v123(constB6, B)))) | ((~less_3(bitIndex2)) | (v84(constB6, bitIndex2) <=> v123(constB6, bitIndex2)))),
% 8.41/5.94 inference(quant_inst,[status(thm)],[])).
% 8.41/5.94 tff(10299,plain,
% 8.41/5.94 ((~![B: $i] : ((~less_3(B)) | (v84(constB6, B) <=> v123(constB6, B)))) | (~less_3(bitIndex2)) | (v84(constB6, bitIndex2) <=> v123(constB6, bitIndex2))),
% 8.41/5.94 inference(modus_ponens,[status(thm)],[10298, 10297])).
% 8.41/5.94 tff(10300,plain,
% 8.41/5.94 (v84(constB6, bitIndex2) <=> v123(constB6, bitIndex2)),
% 8.41/5.94 inference(unit_resolution,[status(thm)],[10299, 832, 10296])).
% 8.41/5.94 tff(10301,plain,
% 8.41/5.94 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB5, constB6)) | ![B: $i] : ((~less_3(B)) | (v123(constB6, B) <=> v121(constB5, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB5, constB6)) | ![B: $i] : ((~less_3(B)) | (v123(constB6, B) <=> v121(constB5, B))))),
% 8.41/5.94 inference(rewrite,[status(thm)],[])).
% 8.41/5.94 tff(10302,plain,
% 8.41/5.94 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB5, constB6)) | ![B: $i] : ((~less_3(B)) | (v123(constB6, B) <=> v121(constB5, B))))),
% 8.41/5.94 inference(quant_inst,[status(thm)],[])).
% 8.41/5.94 tff(10303,plain,
% 8.41/5.94 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB5, constB6)) | ![B: $i] : ((~less_3(B)) | (v123(constB6, B) <=> v121(constB5, B)))),
% 8.41/5.94 inference(modus_ponens,[status(thm)],[10302, 10301])).
% 8.41/5.94 tff(10304,plain,
% 8.41/5.94 (![B: $i] : ((~less_3(B)) | (v123(constB6, B) <=> v121(constB5, B)))),
% 8.41/5.94 inference(unit_resolution,[status(thm)],[10303, 9479, 9924])).
% 8.41/5.94 tff(10305,plain,
% 8.41/5.94 (((~![B: $i] : ((~less_3(B)) | (v123(constB6, B) <=> v121(constB5, B)))) | ((~less_3(bitIndex2)) | (v123(constB6, bitIndex2) <=> v121(constB5, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB6, B) <=> v121(constB5, B)))) | (~less_3(bitIndex2)) | (v123(constB6, bitIndex2) <=> v121(constB5, bitIndex2)))),
% 8.41/5.94 inference(rewrite,[status(thm)],[])).
% 8.41/5.94 tff(10306,plain,
% 8.41/5.94 ((~![B: $i] : ((~less_3(B)) | (v123(constB6, B) <=> v121(constB5, B)))) | ((~less_3(bitIndex2)) | (v123(constB6, bitIndex2) <=> v121(constB5, bitIndex2)))),
% 8.41/5.94 inference(quant_inst,[status(thm)],[])).
% 8.41/5.94 tff(10307,plain,
% 8.41/5.94 ((~![B: $i] : ((~less_3(B)) | (v123(constB6, B) <=> v121(constB5, B)))) | (~less_3(bitIndex2)) | (v123(constB6, bitIndex2) <=> v121(constB5, bitIndex2))),
% 8.41/5.94 inference(modus_ponens,[status(thm)],[10306, 10305])).
% 8.41/5.94 tff(10308,plain,
% 8.41/5.94 (v123(constB6, bitIndex2) <=> v121(constB5, bitIndex2)),
% 8.41/5.94 inference(unit_resolution,[status(thm)],[10307, 832, 10304])).
% 8.41/5.94 tff(10309,plain,
% 8.41/5.94 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB5) | ![B: $i] : ((~less_3(B)) | (v121(constB5, B) <=> v124(constB5, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB5) | ![B: $i] : ((~less_3(B)) | (v121(constB5, B) <=> v124(constB5, B))))),
% 8.41/5.94 inference(rewrite,[status(thm)],[])).
% 8.41/5.94 tff(10310,plain,
% 8.41/5.94 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB5) | ![B: $i] : ((~less_3(B)) | (v121(constB5, B) <=> v124(constB5, B))))),
% 8.41/5.94 inference(quant_inst,[status(thm)],[])).
% 8.41/5.94 tff(10311,plain,
% 8.41/5.94 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB5) | ![B: $i] : ((~less_3(B)) | (v121(constB5, B) <=> v124(constB5, B)))),
% 8.41/5.94 inference(modus_ponens,[status(thm)],[10310, 10309])).
% 8.41/5.94 tff(10312,plain,
% 8.41/5.94 (![B: $i] : ((~less_3(B)) | (v121(constB5, B) <=> v124(constB5, B)))),
% 8.41/5.94 inference(unit_resolution,[status(thm)],[10311, 9945, 10273])).
% 8.41/5.94 tff(10313,plain,
% 8.41/5.94 (((~![B: $i] : ((~less_3(B)) | (v121(constB5, B) <=> v124(constB5, B)))) | ((~less_3(bitIndex2)) | (v121(constB5, bitIndex2) <=> v124(constB5, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB5, B) <=> v124(constB5, B)))) | (~less_3(bitIndex2)) | (v121(constB5, bitIndex2) <=> v124(constB5, bitIndex2)))),
% 8.41/5.94 inference(rewrite,[status(thm)],[])).
% 8.41/5.94 tff(10314,plain,
% 8.41/5.94 ((~![B: $i] : ((~less_3(B)) | (v121(constB5, B) <=> v124(constB5, B)))) | ((~less_3(bitIndex2)) | (v121(constB5, bitIndex2) <=> v124(constB5, bitIndex2)))),
% 8.41/5.94 inference(quant_inst,[status(thm)],[])).
% 8.41/5.94 tff(10315,plain,
% 8.41/5.94 ((~![B: $i] : ((~less_3(B)) | (v121(constB5, B) <=> v124(constB5, B)))) | (~less_3(bitIndex2)) | (v121(constB5, bitIndex2) <=> v124(constB5, bitIndex2))),
% 8.41/5.94 inference(modus_ponens,[status(thm)],[10314, 10313])).
% 8.41/5.94 tff(10316,plain,
% 8.41/5.94 (v121(constB5, bitIndex2) <=> v124(constB5, bitIndex2)),
% 8.41/5.94 inference(unit_resolution,[status(thm)],[10315, 832, 10312])).
% 8.41/5.94 tff(10317,plain,
% 8.41/5.94 (^[VarCurr: $i] : refl(((~v115(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b011(B)))) <=> ((~v115(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b011(B)))))),
% 8.41/5.94 inference(bind,[status(th)],[])).
% 8.41/5.94 tff(10318,plain,
% 8.41/5.94 (![VarCurr: $i] : ((~v115(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b011(B)))) <=> ![VarCurr: $i] : ((~v115(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b011(B))))),
% 8.41/5.94 inference(quant_intro,[status(thm)],[10317])).
% 8.41/5.94 tff(10319,plain,
% 8.41/5.94 (^[VarCurr: $i] : rewrite(((~v115(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b011(B)))) <=> ((~v115(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b011(B)))))),
% 8.41/5.94 inference(bind,[status(th)],[])).
% 8.41/5.94 tff(10320,plain,
% 8.41/5.94 (![VarCurr: $i] : ((~v115(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b011(B)))) <=> ![VarCurr: $i] : ((~v115(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b011(B))))),
% 8.41/5.94 inference(quant_intro,[status(thm)],[10319])).
% 8.41/5.94 tff(10321,plain,
% 8.41/5.94 (![VarCurr: $i] : ((~v115(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b011(B)))) <=> ![VarCurr: $i] : ((~v115(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b011(B))))),
% 8.41/5.94 inference(transitivity,[status(thm)],[10320, 10318])).
% 8.41/5.94 tff(10322,plain,
% 8.41/5.94 (![VarCurr: $i] : ((~v115(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b011(B)))) <=> ![VarCurr: $i] : ((~v115(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b011(B))))),
% 8.41/5.94 inference(rewrite,[status(thm)],[])).
% 8.41/5.94 tff(10323,plain,
% 8.41/5.94 (^[VarCurr: $i] : trans(monotonicity(quant_intro(proof_bind(^[B: $i] : rewrite((less_3(B) => (v124(VarCurr, B) <=> b011(B))) <=> ((~less_3(B)) | (v124(VarCurr, B) <=> b011(B))))), (![B: $i] : (less_3(B) => (v124(VarCurr, B) <=> b011(B))) <=> ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b011(B))))), ((v115(VarCurr) => ![B: $i] : (less_3(B) => (v124(VarCurr, B) <=> b011(B)))) <=> (v115(VarCurr) => ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b011(B)))))), rewrite((v115(VarCurr) => ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b011(B)))) <=> ((~v115(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b011(B))))), ((v115(VarCurr) => ![B: $i] : (less_3(B) => (v124(VarCurr, B) <=> b011(B)))) <=> ((~v115(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b011(B))))))),
% 8.41/5.94 inference(bind,[status(th)],[])).
% 8.41/5.94 tff(10324,plain,
% 8.41/5.94 (![VarCurr: $i] : (v115(VarCurr) => ![B: $i] : (less_3(B) => (v124(VarCurr, B) <=> b011(B)))) <=> ![VarCurr: $i] : ((~v115(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b011(B))))),
% 8.41/5.94 inference(quant_intro,[status(thm)],[10323])).
% 8.41/5.94 tff(10325,axiom,(![VarCurr: $i] : (v115(VarCurr) => ![B: $i] : (less_3(B) => (v124(VarCurr, B) <=> b011(B))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges2')).
% 8.41/5.94 tff(10326,plain,
% 8.41/5.94 (![VarCurr: $i] : ((~v115(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b011(B))))),
% 8.41/5.94 inference(modus_ponens,[status(thm)],[10325, 10324])).
% 8.41/5.94 tff(10327,plain,
% 8.41/5.94 (![VarCurr: $i] : ((~v115(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b011(B))))),
% 8.41/5.94 inference(modus_ponens,[status(thm)],[10326, 10322])).
% 8.41/5.94 tff(10328,plain,(
% 8.41/5.94 ![VarCurr: $i] : ((~v115(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b011(B))))),
% 8.41/5.94 inference(skolemize,[status(sab)],[10327])).
% 8.41/5.94 tff(10329,plain,
% 8.41/5.94 (![VarCurr: $i] : ((~v115(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b011(B))))),
% 8.41/5.94 inference(modus_ponens,[status(thm)],[10328, 10321])).
% 8.41/5.94 tff(10330,plain,
% 8.41/5.94 (((~![VarCurr: $i] : ((~v115(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b011(B))))) | ((~v115(constB5)) | ![B: $i] : ((~less_3(B)) | (v124(constB5, B) <=> b011(B))))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b011(B))))) | (~v115(constB5)) | ![B: $i] : ((~less_3(B)) | (v124(constB5, B) <=> b011(B))))),
% 8.41/5.94 inference(rewrite,[status(thm)],[])).
% 8.41/5.94 tff(10331,plain,
% 8.41/5.94 ((~![VarCurr: $i] : ((~v115(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b011(B))))) | ((~v115(constB5)) | ![B: $i] : ((~less_3(B)) | (v124(constB5, B) <=> b011(B))))),
% 8.41/5.94 inference(quant_inst,[status(thm)],[])).
% 8.41/5.94 tff(10332,plain,
% 8.41/5.94 ((~![VarCurr: $i] : ((~v115(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b011(B))))) | (~v115(constB5)) | ![B: $i] : ((~less_3(B)) | (v124(constB5, B) <=> b011(B)))),
% 8.41/5.94 inference(modus_ponens,[status(thm)],[10331, 10330])).
% 8.41/5.94 tff(10333,plain,
% 8.41/5.94 ((~v115(constB5)) | ![B: $i] : ((~less_3(B)) | (v124(constB5, B) <=> b011(B)))),
% 8.41/5.94 inference(unit_resolution,[status(thm)],[10332, 10329])).
% 8.41/5.94 tff(10334,plain,
% 8.41/5.94 (![B: $i] : ((~less_3(B)) | (v124(constB5, B) <=> b011(B)))),
% 8.41/5.94 inference(unit_resolution,[status(thm)],[10333, 10244])).
% 8.41/5.94 tff(10335,plain,
% 8.41/5.94 (((~![B: $i] : ((~less_3(B)) | (v124(constB5, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v124(constB5, bitIndex2) <=> b011(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB5, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v124(constB5, bitIndex2) <=> b011(bitIndex2)))),
% 8.41/5.94 inference(rewrite,[status(thm)],[])).
% 8.41/5.94 tff(10336,plain,
% 8.41/5.94 ((~![B: $i] : ((~less_3(B)) | (v124(constB5, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v124(constB5, bitIndex2) <=> b011(bitIndex2)))),
% 8.41/5.94 inference(quant_inst,[status(thm)],[])).
% 8.41/5.94 tff(10337,plain,
% 8.41/5.94 ((~![B: $i] : ((~less_3(B)) | (v124(constB5, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v124(constB5, bitIndex2) <=> b011(bitIndex2))),
% 8.41/5.94 inference(modus_ponens,[status(thm)],[10336, 10335])).
% 8.41/5.94 tff(10338,plain,
% 8.41/5.94 (v124(constB5, bitIndex2) <=> b011(bitIndex2)),
% 8.41/5.94 inference(unit_resolution,[status(thm)],[10337, 832, 10334])).
% 8.41/5.94 tff(10339,plain,
% 8.41/5.94 ((~b011(bitIndex2)) <=> (~b011(bitIndex2))),
% 8.41/5.94 inference(rewrite,[status(thm)],[])).
% 8.41/5.94 tff(10340,axiom,(~b011(bitIndex2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bitBlastConstant_11')).
% 8.41/5.94 tff(10341,plain,
% 8.41/5.94 (~b011(bitIndex2)),
% 8.41/5.94 inference(modus_ponens,[status(thm)],[10340, 10339])).
% 8.41/5.94 tff(10342,plain,
% 8.41/5.94 ((~(v124(constB5, bitIndex2) <=> b011(bitIndex2))) | (~v124(constB5, bitIndex2)) | b011(bitIndex2)),
% 8.41/5.94 inference(tautology,[status(thm)],[])).
% 8.41/5.94 tff(10343,plain,
% 8.41/5.94 ((~(v124(constB5, bitIndex2) <=> b011(bitIndex2))) | (~v124(constB5, bitIndex2))),
% 8.41/5.94 inference(unit_resolution,[status(thm)],[10342, 10341])).
% 8.41/5.94 tff(10344,plain,
% 8.41/5.94 (~v124(constB5, bitIndex2)),
% 8.41/5.94 inference(unit_resolution,[status(thm)],[10343, 10338])).
% 8.41/5.94 tff(10345,plain,
% 8.41/5.94 ((~(v121(constB5, bitIndex2) <=> v124(constB5, bitIndex2))) | (~v121(constB5, bitIndex2)) | v124(constB5, bitIndex2)),
% 8.41/5.94 inference(tautology,[status(thm)],[])).
% 8.41/5.94 tff(10346,plain,
% 8.41/5.94 (~v121(constB5, bitIndex2)),
% 8.41/5.94 inference(unit_resolution,[status(thm)],[10345, 10344, 10316])).
% 8.41/5.94 tff(10347,plain,
% 8.41/5.94 ((~(v123(constB6, bitIndex2) <=> v121(constB5, bitIndex2))) | (~v123(constB6, bitIndex2)) | v121(constB5, bitIndex2)),
% 8.41/5.94 inference(tautology,[status(thm)],[])).
% 8.41/5.94 tff(10348,plain,
% 8.41/5.94 (~v123(constB6, bitIndex2)),
% 8.41/5.94 inference(unit_resolution,[status(thm)],[10347, 10346, 10308])).
% 8.41/5.94 tff(10349,plain,
% 8.41/5.94 ((~(v84(constB6, bitIndex2) <=> v123(constB6, bitIndex2))) | (~v84(constB6, bitIndex2)) | v123(constB6, bitIndex2)),
% 8.41/5.94 inference(tautology,[status(thm)],[])).
% 8.41/5.94 tff(10350,plain,
% 8.41/5.94 (~v84(constB6, bitIndex2)),
% 8.41/5.94 inference(unit_resolution,[status(thm)],[10349, 10348, 10300])).
% 8.41/5.94 tff(10351,plain,
% 8.41/5.94 ((~(v84(constB7, bitIndex2) <=> v84(constB6, bitIndex2))) | (~v84(constB7, bitIndex2)) | v84(constB6, bitIndex2)),
% 8.41/5.94 inference(tautology,[status(thm)],[])).
% 8.41/5.94 tff(10352,plain,
% 8.41/5.94 (~v84(constB7, bitIndex2)),
% 8.41/5.94 inference(unit_resolution,[status(thm)],[10351, 10350, 9476])).
% 8.41/5.94 tff(10353,plain,
% 8.41/5.94 (((~![B: $i] : ((~less_3(B)) | (v84(constB7, B) <=> v84(constB6, B)))) | ((~less_3(bitIndex0)) | (v84(constB7, bitIndex0) <=> v84(constB6, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB7, B) <=> v84(constB6, B)))) | (~less_3(bitIndex0)) | (v84(constB7, bitIndex0) <=> v84(constB6, bitIndex0)))),
% 8.41/5.94 inference(rewrite,[status(thm)],[])).
% 8.41/5.94 tff(10354,plain,
% 8.41/5.94 ((~![B: $i] : ((~less_3(B)) | (v84(constB7, B) <=> v84(constB6, B)))) | ((~less_3(bitIndex0)) | (v84(constB7, bitIndex0) <=> v84(constB6, bitIndex0)))),
% 8.41/5.94 inference(quant_inst,[status(thm)],[])).
% 8.41/5.94 tff(10355,plain,
% 8.41/5.94 ((~![B: $i] : ((~less_3(B)) | (v84(constB7, B) <=> v84(constB6, B)))) | (~less_3(bitIndex0)) | (v84(constB7, bitIndex0) <=> v84(constB6, bitIndex0))),
% 8.41/5.94 inference(modus_ponens,[status(thm)],[10354, 10353])).
% 8.41/5.94 tff(10356,plain,
% 8.41/5.94 (v84(constB7, bitIndex0) <=> v84(constB6, bitIndex0)),
% 8.41/5.94 inference(unit_resolution,[status(thm)],[10355, 9772, 9472])).
% 8.41/5.94 tff(10357,plain,
% 8.41/5.94 (((~![B: $i] : ((~less_3(B)) | (v84(constB6, B) <=> v123(constB6, B)))) | ((~less_3(bitIndex0)) | (v84(constB6, bitIndex0) <=> v123(constB6, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB6, B) <=> v123(constB6, B)))) | (~less_3(bitIndex0)) | (v84(constB6, bitIndex0) <=> v123(constB6, bitIndex0)))),
% 8.41/5.94 inference(rewrite,[status(thm)],[])).
% 8.41/5.94 tff(10358,plain,
% 8.41/5.94 ((~![B: $i] : ((~less_3(B)) | (v84(constB6, B) <=> v123(constB6, B)))) | ((~less_3(bitIndex0)) | (v84(constB6, bitIndex0) <=> v123(constB6, bitIndex0)))),
% 8.41/5.94 inference(quant_inst,[status(thm)],[])).
% 8.41/5.94 tff(10359,plain,
% 8.41/5.94 ((~![B: $i] : ((~less_3(B)) | (v84(constB6, B) <=> v123(constB6, B)))) | (~less_3(bitIndex0)) | (v84(constB6, bitIndex0) <=> v123(constB6, bitIndex0))),
% 8.41/5.94 inference(modus_ponens,[status(thm)],[10358, 10357])).
% 8.41/5.94 tff(10360,plain,
% 8.41/5.94 (v84(constB6, bitIndex0) <=> v123(constB6, bitIndex0)),
% 8.41/5.94 inference(unit_resolution,[status(thm)],[10359, 9772, 10296])).
% 8.41/5.94 tff(10361,plain,
% 8.41/5.94 (((~![B: $i] : ((~less_3(B)) | (v123(constB6, B) <=> v121(constB5, B)))) | ((~less_3(bitIndex0)) | (v123(constB6, bitIndex0) <=> v121(constB5, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB6, B) <=> v121(constB5, B)))) | (~less_3(bitIndex0)) | (v123(constB6, bitIndex0) <=> v121(constB5, bitIndex0)))),
% 8.41/5.94 inference(rewrite,[status(thm)],[])).
% 8.41/5.94 tff(10362,plain,
% 8.41/5.94 ((~![B: $i] : ((~less_3(B)) | (v123(constB6, B) <=> v121(constB5, B)))) | ((~less_3(bitIndex0)) | (v123(constB6, bitIndex0) <=> v121(constB5, bitIndex0)))),
% 8.41/5.94 inference(quant_inst,[status(thm)],[])).
% 8.41/5.94 tff(10363,plain,
% 8.41/5.94 ((~![B: $i] : ((~less_3(B)) | (v123(constB6, B) <=> v121(constB5, B)))) | (~less_3(bitIndex0)) | (v123(constB6, bitIndex0) <=> v121(constB5, bitIndex0))),
% 8.41/5.94 inference(modus_ponens,[status(thm)],[10362, 10361])).
% 8.41/5.94 tff(10364,plain,
% 8.41/5.94 (v123(constB6, bitIndex0) <=> v121(constB5, bitIndex0)),
% 8.41/5.94 inference(unit_resolution,[status(thm)],[10363, 9772, 10304])).
% 8.41/5.94 tff(10365,plain,
% 8.41/5.94 (((~![B: $i] : ((~less_3(B)) | (v121(constB5, B) <=> v124(constB5, B)))) | ((~less_3(bitIndex0)) | (v121(constB5, bitIndex0) <=> v124(constB5, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB5, B) <=> v124(constB5, B)))) | (~less_3(bitIndex0)) | (v121(constB5, bitIndex0) <=> v124(constB5, bitIndex0)))),
% 8.41/5.94 inference(rewrite,[status(thm)],[])).
% 8.41/5.94 tff(10366,plain,
% 8.41/5.94 ((~![B: $i] : ((~less_3(B)) | (v121(constB5, B) <=> v124(constB5, B)))) | ((~less_3(bitIndex0)) | (v121(constB5, bitIndex0) <=> v124(constB5, bitIndex0)))),
% 8.41/5.94 inference(quant_inst,[status(thm)],[])).
% 8.41/5.94 tff(10367,plain,
% 8.41/5.95 ((~![B: $i] : ((~less_3(B)) | (v121(constB5, B) <=> v124(constB5, B)))) | (~less_3(bitIndex0)) | (v121(constB5, bitIndex0) <=> v124(constB5, bitIndex0))),
% 8.41/5.95 inference(modus_ponens,[status(thm)],[10366, 10365])).
% 8.41/5.95 tff(10368,plain,
% 8.41/5.95 (v121(constB5, bitIndex0) <=> v124(constB5, bitIndex0)),
% 8.41/5.95 inference(unit_resolution,[status(thm)],[10367, 9772, 10312])).
% 8.41/5.95 tff(10369,plain,
% 8.41/5.95 (((~![B: $i] : ((~less_3(B)) | (v124(constB5, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v124(constB5, bitIndex0) <=> b011(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB5, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v124(constB5, bitIndex0) <=> b011(bitIndex0)))),
% 8.41/5.95 inference(rewrite,[status(thm)],[])).
% 8.41/5.95 tff(10370,plain,
% 8.41/5.95 ((~![B: $i] : ((~less_3(B)) | (v124(constB5, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v124(constB5, bitIndex0) <=> b011(bitIndex0)))),
% 8.41/5.95 inference(quant_inst,[status(thm)],[])).
% 8.41/5.95 tff(10371,plain,
% 8.41/5.95 ((~![B: $i] : ((~less_3(B)) | (v124(constB5, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v124(constB5, bitIndex0) <=> b011(bitIndex0))),
% 8.41/5.95 inference(modus_ponens,[status(thm)],[10370, 10369])).
% 8.41/5.95 tff(10372,plain,
% 8.41/5.95 (v124(constB5, bitIndex0) <=> b011(bitIndex0)),
% 8.41/5.95 inference(unit_resolution,[status(thm)],[10371, 9772, 10334])).
% 8.41/5.95 tff(10373,plain,
% 8.41/5.95 (b011(bitIndex0) <=> b011(bitIndex0)),
% 8.41/5.95 inference(rewrite,[status(thm)],[])).
% 8.41/5.95 tff(10374,axiom,(b011(bitIndex0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bitBlastConstant_9')).
% 8.41/5.95 tff(10375,plain,
% 8.41/5.95 (b011(bitIndex0)),
% 8.41/5.95 inference(modus_ponens,[status(thm)],[10374, 10373])).
% 8.41/5.95 tff(10376,plain,
% 8.41/5.95 ((~(v124(constB5, bitIndex0) <=> b011(bitIndex0))) | v124(constB5, bitIndex0) | (~b011(bitIndex0))),
% 8.41/5.95 inference(tautology,[status(thm)],[])).
% 8.41/5.95 tff(10377,plain,
% 8.41/5.95 ((~(v124(constB5, bitIndex0) <=> b011(bitIndex0))) | v124(constB5, bitIndex0)),
% 8.41/5.95 inference(unit_resolution,[status(thm)],[10376, 10375])).
% 8.41/5.95 tff(10378,plain,
% 8.41/5.95 (v124(constB5, bitIndex0)),
% 8.41/5.95 inference(unit_resolution,[status(thm)],[10377, 10372])).
% 8.41/5.95 tff(10379,plain,
% 8.41/5.95 ((~(v121(constB5, bitIndex0) <=> v124(constB5, bitIndex0))) | v121(constB5, bitIndex0) | (~v124(constB5, bitIndex0))),
% 8.41/5.95 inference(tautology,[status(thm)],[])).
% 8.41/5.95 tff(10380,plain,
% 8.41/5.95 (v121(constB5, bitIndex0)),
% 8.41/5.95 inference(unit_resolution,[status(thm)],[10379, 10378, 10368])).
% 8.41/5.95 tff(10381,plain,
% 8.41/5.95 ((~(v123(constB6, bitIndex0) <=> v121(constB5, bitIndex0))) | v123(constB6, bitIndex0) | (~v121(constB5, bitIndex0))),
% 8.41/5.95 inference(tautology,[status(thm)],[])).
% 8.41/5.95 tff(10382,plain,
% 8.41/5.95 (v123(constB6, bitIndex0)),
% 8.41/5.95 inference(unit_resolution,[status(thm)],[10381, 10380, 10364])).
% 8.41/5.95 tff(10383,plain,
% 8.41/5.95 ((~(v84(constB6, bitIndex0) <=> v123(constB6, bitIndex0))) | v84(constB6, bitIndex0) | (~v123(constB6, bitIndex0))),
% 8.41/5.95 inference(tautology,[status(thm)],[])).
% 8.41/5.95 tff(10384,plain,
% 8.41/5.95 (v84(constB6, bitIndex0)),
% 8.41/5.95 inference(unit_resolution,[status(thm)],[10383, 10382, 10360])).
% 8.41/5.95 tff(10385,plain,
% 8.41/5.95 ((~(v84(constB7, bitIndex0) <=> v84(constB6, bitIndex0))) | v84(constB7, bitIndex0) | (~v84(constB6, bitIndex0))),
% 8.41/5.95 inference(tautology,[status(thm)],[])).
% 8.41/5.95 tff(10386,plain,
% 8.41/5.95 (v84(constB7, bitIndex0)),
% 8.41/5.95 inference(unit_resolution,[status(thm)],[10385, 10384, 10356])).
% 8.41/5.95 tff(10387,plain,
% 8.41/5.95 (((~![B: $i] : ((~less_3(B)) | (v84(constB7, B) <=> v84(constB6, B)))) | ((~less_3(bitIndex1)) | (v84(constB7, bitIndex1) <=> v84(constB6, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB7, B) <=> v84(constB6, B)))) | (~less_3(bitIndex1)) | (v84(constB7, bitIndex1) <=> v84(constB6, bitIndex1)))),
% 8.41/5.95 inference(rewrite,[status(thm)],[])).
% 8.41/5.95 tff(10388,plain,
% 8.41/5.95 ((~![B: $i] : ((~less_3(B)) | (v84(constB7, B) <=> v84(constB6, B)))) | ((~less_3(bitIndex1)) | (v84(constB7, bitIndex1) <=> v84(constB6, bitIndex1)))),
% 8.41/5.95 inference(quant_inst,[status(thm)],[])).
% 8.41/5.95 tff(10389,plain,
% 8.41/5.95 ((~![B: $i] : ((~less_3(B)) | (v84(constB7, B) <=> v84(constB6, B)))) | (~less_3(bitIndex1)) | (v84(constB7, bitIndex1) <=> v84(constB6, bitIndex1))),
% 8.41/5.95 inference(modus_ponens,[status(thm)],[10388, 10387])).
% 8.41/5.95 tff(10390,plain,
% 8.41/5.95 (v84(constB7, bitIndex1) <=> v84(constB6, bitIndex1)),
% 8.41/5.95 inference(unit_resolution,[status(thm)],[10389, 9785, 9472])).
% 8.41/5.95 tff(10391,plain,
% 8.41/5.95 (((~![B: $i] : ((~less_3(B)) | (v84(constB6, B) <=> v123(constB6, B)))) | ((~less_3(bitIndex1)) | (v84(constB6, bitIndex1) <=> v123(constB6, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB6, B) <=> v123(constB6, B)))) | (~less_3(bitIndex1)) | (v84(constB6, bitIndex1) <=> v123(constB6, bitIndex1)))),
% 8.41/5.95 inference(rewrite,[status(thm)],[])).
% 8.41/5.95 tff(10392,plain,
% 8.41/5.95 ((~![B: $i] : ((~less_3(B)) | (v84(constB6, B) <=> v123(constB6, B)))) | ((~less_3(bitIndex1)) | (v84(constB6, bitIndex1) <=> v123(constB6, bitIndex1)))),
% 8.41/5.95 inference(quant_inst,[status(thm)],[])).
% 8.41/5.95 tff(10393,plain,
% 8.41/5.95 ((~![B: $i] : ((~less_3(B)) | (v84(constB6, B) <=> v123(constB6, B)))) | (~less_3(bitIndex1)) | (v84(constB6, bitIndex1) <=> v123(constB6, bitIndex1))),
% 8.41/5.95 inference(modus_ponens,[status(thm)],[10392, 10391])).
% 8.41/5.95 tff(10394,plain,
% 8.41/5.95 (v84(constB6, bitIndex1) <=> v123(constB6, bitIndex1)),
% 8.41/5.95 inference(unit_resolution,[status(thm)],[10393, 9785, 10296])).
% 8.41/5.95 tff(10395,plain,
% 8.41/5.95 (((~![B: $i] : ((~less_3(B)) | (v123(constB6, B) <=> v121(constB5, B)))) | ((~less_3(bitIndex1)) | (v123(constB6, bitIndex1) <=> v121(constB5, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB6, B) <=> v121(constB5, B)))) | (~less_3(bitIndex1)) | (v123(constB6, bitIndex1) <=> v121(constB5, bitIndex1)))),
% 8.41/5.95 inference(rewrite,[status(thm)],[])).
% 8.41/5.95 tff(10396,plain,
% 8.41/5.95 ((~![B: $i] : ((~less_3(B)) | (v123(constB6, B) <=> v121(constB5, B)))) | ((~less_3(bitIndex1)) | (v123(constB6, bitIndex1) <=> v121(constB5, bitIndex1)))),
% 8.41/5.95 inference(quant_inst,[status(thm)],[])).
% 8.41/5.95 tff(10397,plain,
% 8.41/5.95 ((~![B: $i] : ((~less_3(B)) | (v123(constB6, B) <=> v121(constB5, B)))) | (~less_3(bitIndex1)) | (v123(constB6, bitIndex1) <=> v121(constB5, bitIndex1))),
% 8.41/5.95 inference(modus_ponens,[status(thm)],[10396, 10395])).
% 8.41/5.95 tff(10398,plain,
% 8.41/5.95 (v123(constB6, bitIndex1) <=> v121(constB5, bitIndex1)),
% 8.41/5.95 inference(unit_resolution,[status(thm)],[10397, 9785, 10304])).
% 8.41/5.95 tff(10399,plain,
% 8.41/5.95 (((~![B: $i] : ((~less_3(B)) | (v121(constB5, B) <=> v124(constB5, B)))) | ((~less_3(bitIndex1)) | (v121(constB5, bitIndex1) <=> v124(constB5, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB5, B) <=> v124(constB5, B)))) | (~less_3(bitIndex1)) | (v121(constB5, bitIndex1) <=> v124(constB5, bitIndex1)))),
% 8.41/5.95 inference(rewrite,[status(thm)],[])).
% 8.41/5.95 tff(10400,plain,
% 8.41/5.95 ((~![B: $i] : ((~less_3(B)) | (v121(constB5, B) <=> v124(constB5, B)))) | ((~less_3(bitIndex1)) | (v121(constB5, bitIndex1) <=> v124(constB5, bitIndex1)))),
% 8.41/5.95 inference(quant_inst,[status(thm)],[])).
% 8.41/5.95 tff(10401,plain,
% 8.41/5.95 ((~![B: $i] : ((~less_3(B)) | (v121(constB5, B) <=> v124(constB5, B)))) | (~less_3(bitIndex1)) | (v121(constB5, bitIndex1) <=> v124(constB5, bitIndex1))),
% 8.41/5.95 inference(modus_ponens,[status(thm)],[10400, 10399])).
% 8.41/5.95 tff(10402,plain,
% 8.41/5.95 (v121(constB5, bitIndex1) <=> v124(constB5, bitIndex1)),
% 8.41/5.95 inference(unit_resolution,[status(thm)],[10401, 9785, 10312])).
% 8.41/5.95 tff(10403,plain,
% 8.41/5.95 (((~![B: $i] : ((~less_3(B)) | (v124(constB5, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v124(constB5, bitIndex1) <=> b011(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB5, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v124(constB5, bitIndex1) <=> b011(bitIndex1)))),
% 8.41/5.95 inference(rewrite,[status(thm)],[])).
% 8.41/5.95 tff(10404,plain,
% 8.41/5.95 ((~![B: $i] : ((~less_3(B)) | (v124(constB5, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v124(constB5, bitIndex1) <=> b011(bitIndex1)))),
% 8.41/5.95 inference(quant_inst,[status(thm)],[])).
% 8.41/5.95 tff(10405,plain,
% 8.41/5.95 ((~![B: $i] : ((~less_3(B)) | (v124(constB5, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v124(constB5, bitIndex1) <=> b011(bitIndex1))),
% 8.41/5.95 inference(modus_ponens,[status(thm)],[10404, 10403])).
% 8.41/5.95 tff(10406,plain,
% 8.41/5.95 (v124(constB5, bitIndex1) <=> b011(bitIndex1)),
% 8.41/5.95 inference(unit_resolution,[status(thm)],[10405, 9785, 10334])).
% 8.41/5.95 tff(10407,plain,
% 8.41/5.95 (b011(bitIndex1) <=> b011(bitIndex1)),
% 8.41/5.95 inference(rewrite,[status(thm)],[])).
% 8.41/5.95 tff(10408,axiom,(b011(bitIndex1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bitBlastConstant_10')).
% 8.41/5.95 tff(10409,plain,
% 8.41/5.95 (b011(bitIndex1)),
% 8.41/5.95 inference(modus_ponens,[status(thm)],[10408, 10407])).
% 8.41/5.95 tff(10410,plain,
% 8.41/5.95 ((~(v124(constB5, bitIndex1) <=> b011(bitIndex1))) | v124(constB5, bitIndex1) | (~b011(bitIndex1))),
% 8.41/5.95 inference(tautology,[status(thm)],[])).
% 8.41/5.95 tff(10411,plain,
% 8.41/5.95 ((~(v124(constB5, bitIndex1) <=> b011(bitIndex1))) | v124(constB5, bitIndex1)),
% 8.41/5.95 inference(unit_resolution,[status(thm)],[10410, 10409])).
% 8.41/5.95 tff(10412,plain,
% 8.41/5.95 (v124(constB5, bitIndex1)),
% 8.41/5.95 inference(unit_resolution,[status(thm)],[10411, 10406])).
% 8.41/5.95 tff(10413,plain,
% 8.41/5.95 ((~(v121(constB5, bitIndex1) <=> v124(constB5, bitIndex1))) | v121(constB5, bitIndex1) | (~v124(constB5, bitIndex1))),
% 8.41/5.95 inference(tautology,[status(thm)],[])).
% 8.41/5.95 tff(10414,plain,
% 8.41/5.95 (v121(constB5, bitIndex1)),
% 8.41/5.95 inference(unit_resolution,[status(thm)],[10413, 10412, 10402])).
% 8.41/5.95 tff(10415,plain,
% 8.41/5.95 ((~(v123(constB6, bitIndex1) <=> v121(constB5, bitIndex1))) | v123(constB6, bitIndex1) | (~v121(constB5, bitIndex1))),
% 8.41/5.95 inference(tautology,[status(thm)],[])).
% 8.41/5.95 tff(10416,plain,
% 8.41/5.95 (v123(constB6, bitIndex1)),
% 8.41/5.95 inference(unit_resolution,[status(thm)],[10415, 10414, 10398])).
% 8.41/5.95 tff(10417,plain,
% 8.41/5.95 ((~(v84(constB6, bitIndex1) <=> v123(constB6, bitIndex1))) | v84(constB6, bitIndex1) | (~v123(constB6, bitIndex1))),
% 8.41/5.95 inference(tautology,[status(thm)],[])).
% 8.41/5.95 tff(10418,plain,
% 8.41/5.95 (v84(constB6, bitIndex1)),
% 8.41/5.95 inference(unit_resolution,[status(thm)],[10417, 10416, 10394])).
% 8.41/5.95 tff(10419,plain,
% 8.41/5.95 ((~(v84(constB7, bitIndex1) <=> v84(constB6, bitIndex1))) | v84(constB7, bitIndex1) | (~v84(constB6, bitIndex1))),
% 8.41/5.95 inference(tautology,[status(thm)],[])).
% 8.41/5.95 tff(10420,plain,
% 8.41/5.95 (v84(constB7, bitIndex1)),
% 8.41/5.95 inference(unit_resolution,[status(thm)],[10419, 10418, 10390])).
% 8.41/5.95 tff(10421,plain,
% 8.41/5.95 ((~(v84(constB7, bitIndex2) | (~v84(constB7, bitIndex1)) | (~v84(constB7, bitIndex0)))) | v84(constB7, bitIndex2) | (~v84(constB7, bitIndex1)) | (~v84(constB7, bitIndex0))),
% 8.41/5.95 inference(tautology,[status(thm)],[])).
% 8.41/5.95 tff(10422,plain,
% 8.41/5.95 (~(v84(constB7, bitIndex2) | (~v84(constB7, bitIndex1)) | (~v84(constB7, bitIndex0)))),
% 8.41/5.95 inference(unit_resolution,[status(thm)],[10421, 10420, 10386, 10352])).
% 8.41/5.95 tff(10423,plain,
% 8.41/5.95 ((~(v116(constB7) <=> (~(v84(constB7, bitIndex2) | (~v84(constB7, bitIndex1)) | (~v84(constB7, bitIndex0)))))) | v116(constB7) | (v84(constB7, bitIndex2) | (~v84(constB7, bitIndex1)) | (~v84(constB7, bitIndex0)))),
% 8.41/5.95 inference(tautology,[status(thm)],[])).
% 8.41/5.95 tff(10424,plain,
% 8.41/5.95 (v116(constB7)),
% 8.41/5.95 inference(unit_resolution,[status(thm)],[10423, 10422, 9444])).
% 8.41/5.95 tff(10425,plain,
% 8.41/5.95 ((v111(constB7) | v116(constB7)) | (~v116(constB7))),
% 8.41/5.95 inference(tautology,[status(thm)],[])).
% 8.41/5.95 tff(10426,plain,
% 8.41/5.95 (v111(constB7) | v116(constB7)),
% 8.41/5.95 inference(unit_resolution,[status(thm)],[10425, 10424])).
% 8.41/5.95 tff(10427,plain,
% 8.41/5.95 ((~(v110(constB7) <=> (v111(constB7) | v116(constB7)))) | v110(constB7) | (~(v111(constB7) | v116(constB7)))),
% 8.41/5.95 inference(tautology,[status(thm)],[])).
% 8.41/5.95 tff(10428,plain,
% 8.41/5.95 (v110(constB7)),
% 8.41/5.95 inference(unit_resolution,[status(thm)],[10427, 10426, 9442])).
% 8.41/5.95 tff(10429,plain,
% 8.41/5.95 ((v110(constB7) | v117(constB7)) | (~v110(constB7))),
% 8.41/5.95 inference(tautology,[status(thm)],[])).
% 8.41/5.95 tff(10430,plain,
% 8.41/5.95 (v110(constB7) | v117(constB7)),
% 8.41/5.95 inference(unit_resolution,[status(thm)],[10429, 10428])).
% 8.41/5.95 tff(10431,plain,
% 8.41/5.95 ((~(v109(constB7) <=> (v110(constB7) | v117(constB7)))) | v109(constB7) | (~(v110(constB7) | v117(constB7)))),
% 8.41/5.95 inference(tautology,[status(thm)],[])).
% 8.41/5.95 tff(10432,plain,
% 8.41/5.95 (v109(constB7)),
% 8.41/5.95 inference(unit_resolution,[status(thm)],[10431, 10430, 9440])).
% 8.41/5.95 tff(10433,plain,
% 8.41/5.95 ((v109(constB7) | v118(constB7)) | (~v109(constB7))),
% 8.41/5.95 inference(tautology,[status(thm)],[])).
% 8.41/5.95 tff(10434,plain,
% 8.41/5.95 (v109(constB7) | v118(constB7)),
% 8.41/5.95 inference(unit_resolution,[status(thm)],[10433, 10432])).
% 8.41/5.95 tff(10435,plain,
% 8.41/5.95 ((~(v108(constB7) <=> (v109(constB7) | v118(constB7)))) | v108(constB7) | (~(v109(constB7) | v118(constB7)))),
% 8.41/5.95 inference(tautology,[status(thm)],[])).
% 8.41/5.95 tff(10436,plain,
% 8.41/5.95 (v108(constB7)),
% 8.41/5.95 inference(unit_resolution,[status(thm)],[10435, 10434, 9438])).
% 8.41/5.95 tff(10437,plain,
% 8.41/5.95 ((v108(constB7) | v119(constB7)) | (~v108(constB7))),
% 8.41/5.95 inference(tautology,[status(thm)],[])).
% 8.41/5.95 tff(10438,plain,
% 8.41/5.95 (v108(constB7) | v119(constB7)),
% 8.41/5.95 inference(unit_resolution,[status(thm)],[10437, 10436])).
% 8.41/5.95 tff(10439,plain,
% 8.41/5.95 ((~(v107(constB7) <=> (v108(constB7) | v119(constB7)))) | v107(constB7) | (~(v108(constB7) | v119(constB7)))),
% 8.41/5.95 inference(tautology,[status(thm)],[])).
% 8.41/5.95 tff(10440,plain,
% 8.41/5.95 (v107(constB7)),
% 8.41/5.95 inference(unit_resolution,[status(thm)],[10439, 10438, 9436])).
% 8.41/5.95 tff(10441,plain,
% 8.41/5.95 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB7)) <=> v105(constB7))),
% 8.41/5.95 inference(quant_inst,[status(thm)],[])).
% 8.41/5.95 tff(10442,plain,
% 8.41/5.95 ((~v120(constB7)) <=> v105(constB7)),
% 8.41/5.95 inference(unit_resolution,[status(thm)],[10441, 9842])).
% 8.41/5.95 tff(10443,plain,
% 8.41/5.95 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB7) <=> v26(constB7))),
% 8.41/5.95 inference(quant_inst,[status(thm)],[])).
% 8.41/5.95 tff(10444,plain,
% 8.41/5.95 (v105(constB7) <=> v26(constB7)),
% 8.41/5.95 inference(unit_resolution,[status(thm)],[10443, 9854])).
% 8.41/5.95 tff(10445,plain,
% 8.41/5.95 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB7))),
% 8.41/5.95 inference(quant_inst,[status(thm)],[])).
% 8.41/5.95 tff(10446,plain,
% 8.41/5.95 (~v26(constB7)),
% 8.41/5.95 inference(unit_resolution,[status(thm)],[10445, 9866])).
% 8.41/5.95 tff(10447,plain,
% 8.41/5.95 ((~(v105(constB7) <=> v26(constB7))) | (~v105(constB7)) | v26(constB7)),
% 8.41/5.95 inference(tautology,[status(thm)],[])).
% 8.41/5.95 tff(10448,plain,
% 8.41/5.95 ((~(v105(constB7) <=> v26(constB7))) | (~v105(constB7))),
% 8.41/5.95 inference(unit_resolution,[status(thm)],[10447, 10446])).
% 8.41/5.95 tff(10449,plain,
% 8.41/5.95 (~v105(constB7)),
% 8.41/5.95 inference(unit_resolution,[status(thm)],[10448, 10444])).
% 8.41/5.95 tff(10450,plain,
% 8.41/5.95 ((~((~v120(constB7)) <=> v105(constB7))) | v120(constB7) | v105(constB7)),
% 8.41/5.95 inference(tautology,[status(thm)],[])).
% 8.41/5.95 tff(10451,plain,
% 8.41/5.95 ((~((~v120(constB7)) <=> v105(constB7))) | v120(constB7)),
% 8.41/5.95 inference(unit_resolution,[status(thm)],[10450, 10449])).
% 8.41/5.95 tff(10452,plain,
% 8.41/5.95 (v120(constB7)),
% 8.41/5.95 inference(unit_resolution,[status(thm)],[10451, 10442])).
% 8.41/5.95 tff(10453,plain,
% 8.41/5.95 ((~((~v107(constB7)) | (~v120(constB7)))) | (~v107(constB7)) | (~v120(constB7))),
% 8.41/5.95 inference(tautology,[status(thm)],[])).
% 8.41/5.95 tff(10454,plain,
% 8.41/5.95 ((~((~v107(constB7)) | (~v120(constB7)))) | (~v107(constB7))),
% 8.41/5.95 inference(unit_resolution,[status(thm)],[10453, 10452])).
% 8.41/5.95 tff(10455,plain,
% 8.41/5.95 (~((~v107(constB7)) | (~v120(constB7)))),
% 8.41/5.95 inference(unit_resolution,[status(thm)],[10454, 10440])).
% 8.41/5.95 tff(10456,plain,
% 8.41/5.95 ((~(v106(constB7) <=> (~((~v107(constB7)) | (~v120(constB7)))))) | v106(constB7) | ((~v107(constB7)) | (~v120(constB7)))),
% 8.41/5.95 inference(tautology,[status(thm)],[])).
% 8.41/5.95 tff(10457,plain,
% 8.41/5.95 (v106(constB7)),
% 8.41/5.95 inference(unit_resolution,[status(thm)],[10456, 10455, 9434])).
% 8.41/5.95 tff(10458,plain,
% 8.41/5.95 ((v105(constB7) | v106(constB7)) | (~v106(constB7))),
% 8.41/5.95 inference(tautology,[status(thm)],[])).
% 8.41/5.95 tff(10459,plain,
% 8.41/5.95 (v105(constB7) | v106(constB7)),
% 8.41/5.95 inference(unit_resolution,[status(thm)],[10458, 10457])).
% 8.41/5.95 tff(10460,plain,
% 8.41/5.95 ((~(v102(constB7) <=> (v105(constB7) | v106(constB7)))) | v102(constB7) | (~(v105(constB7) | v106(constB7)))),
% 8.41/5.95 inference(tautology,[status(thm)],[])).
% 8.41/5.95 tff(10461,plain,
% 8.41/5.95 (v102(constB7)),
% 8.41/5.95 inference(unit_resolution,[status(thm)],[10460, 10459, 9432])).
% 8.41/5.95 tff(10462,plain,
% 8.41/5.95 ((~(v104(constB8) <=> v102(constB7))) | v104(constB8) | (~v102(constB7))),
% 8.41/5.95 inference(tautology,[status(thm)],[])).
% 8.41/5.95 tff(10463,plain,
% 8.41/5.95 (v104(constB8)),
% 8.41/5.95 inference(unit_resolution,[status(thm)],[10462, 10461, 9430])).
% 8.41/5.95 tff(10464,plain,
% 8.41/5.95 ((~((~v104(constB8)) | (~v95(constB8)))) | (~v104(constB8)) | (~v95(constB8))),
% 8.41/5.95 inference(tautology,[status(thm)],[])).
% 8.41/5.95 tff(10465,plain,
% 8.41/5.95 (~((~v104(constB8)) | (~v95(constB8)))),
% 8.41/5.95 inference(unit_resolution,[status(thm)],[10464, 10463, 9426])).
% 8.41/5.95 tff(10466,plain,
% 8.41/5.95 ((~(v94(constB8) <=> (~((~v104(constB8)) | (~v95(constB8)))))) | v94(constB8) | ((~v104(constB8)) | (~v95(constB8)))),
% 8.41/5.95 inference(tautology,[status(thm)],[])).
% 8.41/5.95 tff(10467,plain,
% 8.41/5.95 (v94(constB8)),
% 8.41/5.95 inference(unit_resolution,[status(thm)],[10466, 10465, 9395])).
% 8.41/5.95 tff(10468,plain,
% 8.41/5.95 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB8)) | ![B: $i] : ((~less_3(B)) | (v84(constB8, B) <=> v123(constB8, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB8)) | ![B: $i] : ((~less_3(B)) | (v84(constB8, B) <=> v123(constB8, B))))),
% 8.41/5.95 inference(rewrite,[status(thm)],[])).
% 8.41/5.95 tff(10469,plain,
% 8.41/5.95 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB8)) | ![B: $i] : ((~less_3(B)) | (v84(constB8, B) <=> v123(constB8, B))))),
% 8.41/5.95 inference(quant_inst,[status(thm)],[])).
% 8.41/5.95 tff(10470,plain,
% 8.41/5.95 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB8)) | ![B: $i] : ((~less_3(B)) | (v84(constB8, B) <=> v123(constB8, B)))),
% 8.41/5.95 inference(modus_ponens,[status(thm)],[10469, 10468])).
% 8.41/5.95 tff(10471,plain,
% 8.41/5.95 ((~v94(constB8)) | ![B: $i] : ((~less_3(B)) | (v84(constB8, B) <=> v123(constB8, B)))),
% 8.41/5.95 inference(unit_resolution,[status(thm)],[10470, 9902])).
% 8.41/5.95 tff(10472,plain,
% 8.41/5.95 (![B: $i] : ((~less_3(B)) | (v84(constB8, B) <=> v123(constB8, B)))),
% 8.41/5.95 inference(unit_resolution,[status(thm)],[10471, 10467])).
% 8.41/5.95 tff(10473,plain,
% 8.41/5.95 (((~![B: $i] : ((~less_3(B)) | (v84(constB8, B) <=> v123(constB8, B)))) | ((~less_3(bitIndex2)) | (v84(constB8, bitIndex2) <=> v123(constB8, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB8, B) <=> v123(constB8, B)))) | (~less_3(bitIndex2)) | (v84(constB8, bitIndex2) <=> v123(constB8, bitIndex2)))),
% 8.41/5.95 inference(rewrite,[status(thm)],[])).
% 8.41/5.95 tff(10474,plain,
% 8.41/5.95 ((~![B: $i] : ((~less_3(B)) | (v84(constB8, B) <=> v123(constB8, B)))) | ((~less_3(bitIndex2)) | (v84(constB8, bitIndex2) <=> v123(constB8, bitIndex2)))),
% 8.41/5.95 inference(quant_inst,[status(thm)],[])).
% 8.41/5.95 tff(10475,plain,
% 8.41/5.95 ((~![B: $i] : ((~less_3(B)) | (v84(constB8, B) <=> v123(constB8, B)))) | (~less_3(bitIndex2)) | (v84(constB8, bitIndex2) <=> v123(constB8, bitIndex2))),
% 8.41/5.95 inference(modus_ponens,[status(thm)],[10474, 10473])).
% 8.41/5.95 tff(10476,plain,
% 8.41/5.95 (v84(constB8, bitIndex2) <=> v123(constB8, bitIndex2)),
% 8.41/5.95 inference(unit_resolution,[status(thm)],[10475, 832, 10472])).
% 8.41/5.95 tff(10477,plain,
% 8.41/5.95 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB7, constB8)) | ![B: $i] : ((~less_3(B)) | (v123(constB8, B) <=> v121(constB7, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB7, constB8)) | ![B: $i] : ((~less_3(B)) | (v123(constB8, B) <=> v121(constB7, B))))),
% 8.41/5.95 inference(rewrite,[status(thm)],[])).
% 8.41/5.95 tff(10478,plain,
% 8.41/5.95 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB7, constB8)) | ![B: $i] : ((~less_3(B)) | (v123(constB8, B) <=> v121(constB7, B))))),
% 8.41/5.95 inference(quant_inst,[status(thm)],[])).
% 8.41/5.95 tff(10479,plain,
% 8.41/5.95 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB7, constB8)) | ![B: $i] : ((~less_3(B)) | (v123(constB8, B) <=> v121(constB7, B)))),
% 8.41/5.95 inference(modus_ponens,[status(thm)],[10478, 10477])).
% 8.41/5.95 tff(10480,plain,
% 8.41/5.95 (![B: $i] : ((~less_3(B)) | (v123(constB8, B) <=> v121(constB7, B)))),
% 8.41/5.95 inference(unit_resolution,[status(thm)],[10479, 9391, 9924])).
% 8.41/5.95 tff(10481,plain,
% 8.41/5.95 (((~![B: $i] : ((~less_3(B)) | (v123(constB8, B) <=> v121(constB7, B)))) | ((~less_3(bitIndex2)) | (v123(constB8, bitIndex2) <=> v121(constB7, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB8, B) <=> v121(constB7, B)))) | (~less_3(bitIndex2)) | (v123(constB8, bitIndex2) <=> v121(constB7, bitIndex2)))),
% 8.41/5.95 inference(rewrite,[status(thm)],[])).
% 8.41/5.95 tff(10482,plain,
% 8.41/5.95 ((~![B: $i] : ((~less_3(B)) | (v123(constB8, B) <=> v121(constB7, B)))) | ((~less_3(bitIndex2)) | (v123(constB8, bitIndex2) <=> v121(constB7, bitIndex2)))),
% 8.41/5.95 inference(quant_inst,[status(thm)],[])).
% 8.41/5.95 tff(10483,plain,
% 8.41/5.95 ((~![B: $i] : ((~less_3(B)) | (v123(constB8, B) <=> v121(constB7, B)))) | (~less_3(bitIndex2)) | (v123(constB8, bitIndex2) <=> v121(constB7, bitIndex2))),
% 8.41/5.95 inference(modus_ponens,[status(thm)],[10482, 10481])).
% 8.41/5.95 tff(10484,plain,
% 8.41/5.95 (v123(constB8, bitIndex2) <=> v121(constB7, bitIndex2)),
% 8.41/5.95 inference(unit_resolution,[status(thm)],[10483, 832, 10480])).
% 8.41/5.95 tff(10485,plain,
% 8.41/5.95 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB7) | ![B: $i] : ((~less_3(B)) | (v121(constB7, B) <=> v124(constB7, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB7) | ![B: $i] : ((~less_3(B)) | (v121(constB7, B) <=> v124(constB7, B))))),
% 8.41/5.95 inference(rewrite,[status(thm)],[])).
% 8.41/5.95 tff(10486,plain,
% 8.41/5.95 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB7) | ![B: $i] : ((~less_3(B)) | (v121(constB7, B) <=> v124(constB7, B))))),
% 8.41/5.95 inference(quant_inst,[status(thm)],[])).
% 8.41/5.95 tff(10487,plain,
% 8.41/5.95 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB7) | ![B: $i] : ((~less_3(B)) | (v121(constB7, B) <=> v124(constB7, B)))),
% 8.41/5.95 inference(modus_ponens,[status(thm)],[10486, 10485])).
% 8.41/5.95 tff(10488,plain,
% 8.41/5.95 (![B: $i] : ((~less_3(B)) | (v121(constB7, B) <=> v124(constB7, B)))),
% 8.41/5.95 inference(unit_resolution,[status(thm)],[10487, 9945, 10449])).
% 8.41/5.95 tff(10489,plain,
% 8.41/5.95 (((~![B: $i] : ((~less_3(B)) | (v121(constB7, B) <=> v124(constB7, B)))) | ((~less_3(bitIndex2)) | (v121(constB7, bitIndex2) <=> v124(constB7, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB7, B) <=> v124(constB7, B)))) | (~less_3(bitIndex2)) | (v121(constB7, bitIndex2) <=> v124(constB7, bitIndex2)))),
% 8.41/5.95 inference(rewrite,[status(thm)],[])).
% 8.41/5.95 tff(10490,plain,
% 8.41/5.95 ((~![B: $i] : ((~less_3(B)) | (v121(constB7, B) <=> v124(constB7, B)))) | ((~less_3(bitIndex2)) | (v121(constB7, bitIndex2) <=> v124(constB7, bitIndex2)))),
% 8.41/5.95 inference(quant_inst,[status(thm)],[])).
% 8.41/5.95 tff(10491,plain,
% 8.41/5.95 ((~![B: $i] : ((~less_3(B)) | (v121(constB7, B) <=> v124(constB7, B)))) | (~less_3(bitIndex2)) | (v121(constB7, bitIndex2) <=> v124(constB7, bitIndex2))),
% 8.41/5.95 inference(modus_ponens,[status(thm)],[10490, 10489])).
% 8.41/5.95 tff(10492,plain,
% 8.41/5.95 (v121(constB7, bitIndex2) <=> v124(constB7, bitIndex2)),
% 8.41/5.95 inference(unit_resolution,[status(thm)],[10491, 832, 10488])).
% 8.41/5.95 tff(10493,plain,
% 8.41/5.95 (^[VarCurr: $i] : refl(((~v116(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b100(B)))) <=> ((~v116(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b100(B)))))),
% 8.41/5.95 inference(bind,[status(th)],[])).
% 8.41/5.95 tff(10494,plain,
% 8.41/5.95 (![VarCurr: $i] : ((~v116(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b100(B)))) <=> ![VarCurr: $i] : ((~v116(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b100(B))))),
% 8.41/5.95 inference(quant_intro,[status(thm)],[10493])).
% 8.41/5.95 tff(10495,plain,
% 8.41/5.95 (^[VarCurr: $i] : rewrite(((~v116(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b100(B)))) <=> ((~v116(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b100(B)))))),
% 8.41/5.95 inference(bind,[status(th)],[])).
% 8.41/5.95 tff(10496,plain,
% 8.41/5.95 (![VarCurr: $i] : ((~v116(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b100(B)))) <=> ![VarCurr: $i] : ((~v116(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b100(B))))),
% 8.41/5.95 inference(quant_intro,[status(thm)],[10495])).
% 8.41/5.95 tff(10497,plain,
% 8.41/5.95 (![VarCurr: $i] : ((~v116(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b100(B)))) <=> ![VarCurr: $i] : ((~v116(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b100(B))))),
% 8.41/5.95 inference(transitivity,[status(thm)],[10496, 10494])).
% 8.41/5.95 tff(10498,plain,
% 8.41/5.95 (![VarCurr: $i] : ((~v116(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b100(B)))) <=> ![VarCurr: $i] : ((~v116(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b100(B))))),
% 8.41/5.95 inference(rewrite,[status(thm)],[])).
% 8.41/5.95 tff(10499,plain,
% 8.41/5.95 (^[VarCurr: $i] : trans(monotonicity(quant_intro(proof_bind(^[B: $i] : rewrite((less_3(B) => (v124(VarCurr, B) <=> b100(B))) <=> ((~less_3(B)) | (v124(VarCurr, B) <=> b100(B))))), (![B: $i] : (less_3(B) => (v124(VarCurr, B) <=> b100(B))) <=> ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b100(B))))), ((v116(VarCurr) => ![B: $i] : (less_3(B) => (v124(VarCurr, B) <=> b100(B)))) <=> (v116(VarCurr) => ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b100(B)))))), rewrite((v116(VarCurr) => ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b100(B)))) <=> ((~v116(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b100(B))))), ((v116(VarCurr) => ![B: $i] : (less_3(B) => (v124(VarCurr, B) <=> b100(B)))) <=> ((~v116(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b100(B))))))),
% 8.41/5.95 inference(bind,[status(th)],[])).
% 8.41/5.95 tff(10500,plain,
% 8.41/5.95 (![VarCurr: $i] : (v116(VarCurr) => ![B: $i] : (less_3(B) => (v124(VarCurr, B) <=> b100(B)))) <=> ![VarCurr: $i] : ((~v116(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b100(B))))),
% 8.41/5.95 inference(quant_intro,[status(thm)],[10499])).
% 8.41/5.95 tff(10501,axiom,(![VarCurr: $i] : (v116(VarCurr) => ![B: $i] : (less_3(B) => (v124(VarCurr, B) <=> b100(B))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges3')).
% 8.41/5.95 tff(10502,plain,
% 8.41/5.95 (![VarCurr: $i] : ((~v116(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b100(B))))),
% 8.41/5.95 inference(modus_ponens,[status(thm)],[10501, 10500])).
% 8.41/5.95 tff(10503,plain,
% 8.41/5.95 (![VarCurr: $i] : ((~v116(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b100(B))))),
% 8.41/5.95 inference(modus_ponens,[status(thm)],[10502, 10498])).
% 8.41/5.95 tff(10504,plain,(
% 8.41/5.95 ![VarCurr: $i] : ((~v116(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b100(B))))),
% 8.41/5.95 inference(skolemize,[status(sab)],[10503])).
% 8.41/5.95 tff(10505,plain,
% 8.41/5.95 (![VarCurr: $i] : ((~v116(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b100(B))))),
% 8.41/5.95 inference(modus_ponens,[status(thm)],[10504, 10497])).
% 8.41/5.95 tff(10506,plain,
% 8.41/5.95 (((~![VarCurr: $i] : ((~v116(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b100(B))))) | ((~v116(constB7)) | ![B: $i] : ((~less_3(B)) | (v124(constB7, B) <=> b100(B))))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b100(B))))) | (~v116(constB7)) | ![B: $i] : ((~less_3(B)) | (v124(constB7, B) <=> b100(B))))),
% 8.41/5.95 inference(rewrite,[status(thm)],[])).
% 8.41/5.95 tff(10507,plain,
% 8.41/5.95 ((~![VarCurr: $i] : ((~v116(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b100(B))))) | ((~v116(constB7)) | ![B: $i] : ((~less_3(B)) | (v124(constB7, B) <=> b100(B))))),
% 8.41/5.95 inference(quant_inst,[status(thm)],[])).
% 8.41/5.95 tff(10508,plain,
% 8.41/5.95 ((~![VarCurr: $i] : ((~v116(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b100(B))))) | (~v116(constB7)) | ![B: $i] : ((~less_3(B)) | (v124(constB7, B) <=> b100(B)))),
% 8.41/5.95 inference(modus_ponens,[status(thm)],[10507, 10506])).
% 8.41/5.95 tff(10509,plain,
% 8.41/5.95 ((~v116(constB7)) | ![B: $i] : ((~less_3(B)) | (v124(constB7, B) <=> b100(B)))),
% 8.41/5.95 inference(unit_resolution,[status(thm)],[10508, 10505])).
% 8.41/5.95 tff(10510,plain,
% 8.41/5.95 (![B: $i] : ((~less_3(B)) | (v124(constB7, B) <=> b100(B)))),
% 8.41/5.95 inference(unit_resolution,[status(thm)],[10509, 10424])).
% 8.41/5.95 tff(10511,plain,
% 8.41/5.95 (((~![B: $i] : ((~less_3(B)) | (v124(constB7, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v124(constB7, bitIndex2) <=> b100(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB7, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v124(constB7, bitIndex2) <=> b100(bitIndex2)))),
% 8.41/5.95 inference(rewrite,[status(thm)],[])).
% 8.41/5.95 tff(10512,plain,
% 8.41/5.95 ((~![B: $i] : ((~less_3(B)) | (v124(constB7, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v124(constB7, bitIndex2) <=> b100(bitIndex2)))),
% 8.41/5.95 inference(quant_inst,[status(thm)],[])).
% 8.41/5.95 tff(10513,plain,
% 8.41/5.95 ((~![B: $i] : ((~less_3(B)) | (v124(constB7, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v124(constB7, bitIndex2) <=> b100(bitIndex2))),
% 8.41/5.95 inference(modus_ponens,[status(thm)],[10512, 10511])).
% 8.41/5.95 tff(10514,plain,
% 8.41/5.95 (v124(constB7, bitIndex2) <=> b100(bitIndex2)),
% 8.41/5.95 inference(unit_resolution,[status(thm)],[10513, 832, 10510])).
% 8.41/5.95 tff(10515,plain,
% 8.41/5.95 (b100(bitIndex2) <=> b100(bitIndex2)),
% 8.41/5.95 inference(rewrite,[status(thm)],[])).
% 8.41/5.95 tff(10516,axiom,(b100(bitIndex2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bitBlastConstant_14')).
% 8.41/5.95 tff(10517,plain,
% 8.41/5.95 (b100(bitIndex2)),
% 8.41/5.95 inference(modus_ponens,[status(thm)],[10516, 10515])).
% 8.41/5.95 tff(10518,plain,
% 8.41/5.95 ((~(v124(constB7, bitIndex2) <=> b100(bitIndex2))) | v124(constB7, bitIndex2) | (~b100(bitIndex2))),
% 8.41/5.95 inference(tautology,[status(thm)],[])).
% 8.41/5.95 tff(10519,plain,
% 8.41/5.95 ((~(v124(constB7, bitIndex2) <=> b100(bitIndex2))) | v124(constB7, bitIndex2)),
% 8.41/5.95 inference(unit_resolution,[status(thm)],[10518, 10517])).
% 8.41/5.95 tff(10520,plain,
% 8.41/5.95 (v124(constB7, bitIndex2)),
% 8.41/5.95 inference(unit_resolution,[status(thm)],[10519, 10514])).
% 8.41/5.95 tff(10521,plain,
% 8.41/5.95 ((~(v121(constB7, bitIndex2) <=> v124(constB7, bitIndex2))) | v121(constB7, bitIndex2) | (~v124(constB7, bitIndex2))),
% 8.41/5.95 inference(tautology,[status(thm)],[])).
% 8.41/5.95 tff(10522,plain,
% 8.41/5.95 (v121(constB7, bitIndex2)),
% 8.41/5.95 inference(unit_resolution,[status(thm)],[10521, 10520, 10492])).
% 8.41/5.95 tff(10523,plain,
% 8.41/5.95 ((~(v123(constB8, bitIndex2) <=> v121(constB7, bitIndex2))) | v123(constB8, bitIndex2) | (~v121(constB7, bitIndex2))),
% 8.41/5.95 inference(tautology,[status(thm)],[])).
% 8.41/5.95 tff(10524,plain,
% 8.41/5.95 (v123(constB8, bitIndex2)),
% 8.41/5.95 inference(unit_resolution,[status(thm)],[10523, 10522, 10484])).
% 8.41/5.95 tff(10525,plain,
% 8.41/5.95 ((~(v84(constB8, bitIndex2) <=> v123(constB8, bitIndex2))) | v84(constB8, bitIndex2) | (~v123(constB8, bitIndex2))),
% 8.41/5.95 inference(tautology,[status(thm)],[])).
% 8.41/5.95 tff(10526,plain,
% 8.41/5.95 (v84(constB8, bitIndex2)),
% 8.41/5.95 inference(unit_resolution,[status(thm)],[10525, 10524, 10476])).
% 8.41/5.95 tff(10527,plain,
% 8.41/5.95 ((~(v84(constB9, bitIndex2) <=> v84(constB8, bitIndex2))) | v84(constB9, bitIndex2) | (~v84(constB8, bitIndex2))),
% 8.41/5.95 inference(tautology,[status(thm)],[])).
% 8.41/5.95 tff(10528,plain,
% 8.41/5.95 (v84(constB9, bitIndex2)),
% 8.41/5.95 inference(unit_resolution,[status(thm)],[10527, 10526, 9388])).
% 8.41/5.95 tff(10529,plain,
% 8.41/5.95 (((~![B: $i] : ((~less_3(B)) | (v84(constB9, B) <=> v84(constB8, B)))) | ((~less_3(bitIndex0)) | (v84(constB9, bitIndex0) <=> v84(constB8, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB9, B) <=> v84(constB8, B)))) | (~less_3(bitIndex0)) | (v84(constB9, bitIndex0) <=> v84(constB8, bitIndex0)))),
% 8.41/5.95 inference(rewrite,[status(thm)],[])).
% 8.41/5.95 tff(10530,plain,
% 8.41/5.95 ((~![B: $i] : ((~less_3(B)) | (v84(constB9, B) <=> v84(constB8, B)))) | ((~less_3(bitIndex0)) | (v84(constB9, bitIndex0) <=> v84(constB8, bitIndex0)))),
% 8.41/5.95 inference(quant_inst,[status(thm)],[])).
% 8.41/5.95 tff(10531,plain,
% 8.41/5.95 ((~![B: $i] : ((~less_3(B)) | (v84(constB9, B) <=> v84(constB8, B)))) | (~less_3(bitIndex0)) | (v84(constB9, bitIndex0) <=> v84(constB8, bitIndex0))),
% 8.41/5.95 inference(modus_ponens,[status(thm)],[10530, 10529])).
% 8.41/5.95 tff(10532,plain,
% 8.41/5.95 (v84(constB9, bitIndex0) <=> v84(constB8, bitIndex0)),
% 8.41/5.95 inference(unit_resolution,[status(thm)],[10531, 9772, 9384])).
% 8.41/5.95 tff(10533,plain,
% 8.41/5.95 (((~![B: $i] : ((~less_3(B)) | (v84(constB8, B) <=> v123(constB8, B)))) | ((~less_3(bitIndex0)) | (v84(constB8, bitIndex0) <=> v123(constB8, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB8, B) <=> v123(constB8, B)))) | (~less_3(bitIndex0)) | (v84(constB8, bitIndex0) <=> v123(constB8, bitIndex0)))),
% 8.41/5.95 inference(rewrite,[status(thm)],[])).
% 8.41/5.95 tff(10534,plain,
% 8.41/5.95 ((~![B: $i] : ((~less_3(B)) | (v84(constB8, B) <=> v123(constB8, B)))) | ((~less_3(bitIndex0)) | (v84(constB8, bitIndex0) <=> v123(constB8, bitIndex0)))),
% 8.41/5.95 inference(quant_inst,[status(thm)],[])).
% 8.41/5.95 tff(10535,plain,
% 8.41/5.95 ((~![B: $i] : ((~less_3(B)) | (v84(constB8, B) <=> v123(constB8, B)))) | (~less_3(bitIndex0)) | (v84(constB8, bitIndex0) <=> v123(constB8, bitIndex0))),
% 8.41/5.95 inference(modus_ponens,[status(thm)],[10534, 10533])).
% 8.41/5.95 tff(10536,plain,
% 8.41/5.95 (v84(constB8, bitIndex0) <=> v123(constB8, bitIndex0)),
% 8.41/5.95 inference(unit_resolution,[status(thm)],[10535, 9772, 10472])).
% 8.41/5.95 tff(10537,plain,
% 8.41/5.95 (((~![B: $i] : ((~less_3(B)) | (v123(constB8, B) <=> v121(constB7, B)))) | ((~less_3(bitIndex0)) | (v123(constB8, bitIndex0) <=> v121(constB7, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB8, B) <=> v121(constB7, B)))) | (~less_3(bitIndex0)) | (v123(constB8, bitIndex0) <=> v121(constB7, bitIndex0)))),
% 8.41/5.95 inference(rewrite,[status(thm)],[])).
% 8.41/5.95 tff(10538,plain,
% 8.41/5.95 ((~![B: $i] : ((~less_3(B)) | (v123(constB8, B) <=> v121(constB7, B)))) | ((~less_3(bitIndex0)) | (v123(constB8, bitIndex0) <=> v121(constB7, bitIndex0)))),
% 8.41/5.95 inference(quant_inst,[status(thm)],[])).
% 8.41/5.95 tff(10539,plain,
% 8.41/5.95 ((~![B: $i] : ((~less_3(B)) | (v123(constB8, B) <=> v121(constB7, B)))) | (~less_3(bitIndex0)) | (v123(constB8, bitIndex0) <=> v121(constB7, bitIndex0))),
% 8.41/5.95 inference(modus_ponens,[status(thm)],[10538, 10537])).
% 8.41/5.95 tff(10540,plain,
% 8.41/5.96 (v123(constB8, bitIndex0) <=> v121(constB7, bitIndex0)),
% 8.41/5.96 inference(unit_resolution,[status(thm)],[10539, 9772, 10480])).
% 8.41/5.96 tff(10541,plain,
% 8.41/5.96 (((~![B: $i] : ((~less_3(B)) | (v121(constB7, B) <=> v124(constB7, B)))) | ((~less_3(bitIndex0)) | (v121(constB7, bitIndex0) <=> v124(constB7, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB7, B) <=> v124(constB7, B)))) | (~less_3(bitIndex0)) | (v121(constB7, bitIndex0) <=> v124(constB7, bitIndex0)))),
% 8.41/5.96 inference(rewrite,[status(thm)],[])).
% 8.41/5.96 tff(10542,plain,
% 8.41/5.96 ((~![B: $i] : ((~less_3(B)) | (v121(constB7, B) <=> v124(constB7, B)))) | ((~less_3(bitIndex0)) | (v121(constB7, bitIndex0) <=> v124(constB7, bitIndex0)))),
% 8.41/5.96 inference(quant_inst,[status(thm)],[])).
% 8.41/5.96 tff(10543,plain,
% 8.41/5.96 ((~![B: $i] : ((~less_3(B)) | (v121(constB7, B) <=> v124(constB7, B)))) | (~less_3(bitIndex0)) | (v121(constB7, bitIndex0) <=> v124(constB7, bitIndex0))),
% 8.41/5.96 inference(modus_ponens,[status(thm)],[10542, 10541])).
% 8.41/5.96 tff(10544,plain,
% 8.41/5.96 (v121(constB7, bitIndex0) <=> v124(constB7, bitIndex0)),
% 8.41/5.96 inference(unit_resolution,[status(thm)],[10543, 9772, 10488])).
% 8.41/5.96 tff(10545,plain,
% 8.41/5.96 (((~![B: $i] : ((~less_3(B)) | (v124(constB7, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v124(constB7, bitIndex0) <=> b100(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB7, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v124(constB7, bitIndex0) <=> b100(bitIndex0)))),
% 8.41/5.96 inference(rewrite,[status(thm)],[])).
% 8.41/5.96 tff(10546,plain,
% 8.41/5.96 ((~![B: $i] : ((~less_3(B)) | (v124(constB7, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v124(constB7, bitIndex0) <=> b100(bitIndex0)))),
% 8.41/5.96 inference(quant_inst,[status(thm)],[])).
% 8.41/5.96 tff(10547,plain,
% 8.41/5.96 ((~![B: $i] : ((~less_3(B)) | (v124(constB7, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v124(constB7, bitIndex0) <=> b100(bitIndex0))),
% 8.41/5.96 inference(modus_ponens,[status(thm)],[10546, 10545])).
% 8.41/5.96 tff(10548,plain,
% 8.41/5.96 (v124(constB7, bitIndex0) <=> b100(bitIndex0)),
% 8.41/5.96 inference(unit_resolution,[status(thm)],[10547, 9772, 10510])).
% 8.41/5.96 tff(10549,plain,
% 8.41/5.96 ((~b100(bitIndex0)) <=> (~b100(bitIndex0))),
% 8.41/5.96 inference(rewrite,[status(thm)],[])).
% 8.41/5.96 tff(10550,axiom,(~b100(bitIndex0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bitBlastConstant_12')).
% 8.41/5.96 tff(10551,plain,
% 8.41/5.96 (~b100(bitIndex0)),
% 8.41/5.96 inference(modus_ponens,[status(thm)],[10550, 10549])).
% 8.41/5.96 tff(10552,plain,
% 8.41/5.96 ((~(v124(constB7, bitIndex0) <=> b100(bitIndex0))) | (~v124(constB7, bitIndex0)) | b100(bitIndex0)),
% 8.41/5.96 inference(tautology,[status(thm)],[])).
% 8.41/5.96 tff(10553,plain,
% 8.41/5.96 ((~(v124(constB7, bitIndex0) <=> b100(bitIndex0))) | (~v124(constB7, bitIndex0))),
% 8.41/5.96 inference(unit_resolution,[status(thm)],[10552, 10551])).
% 8.41/5.96 tff(10554,plain,
% 8.41/5.96 (~v124(constB7, bitIndex0)),
% 8.41/5.96 inference(unit_resolution,[status(thm)],[10553, 10548])).
% 8.41/5.96 tff(10555,plain,
% 8.41/5.96 ((~(v121(constB7, bitIndex0) <=> v124(constB7, bitIndex0))) | (~v121(constB7, bitIndex0)) | v124(constB7, bitIndex0)),
% 8.41/5.96 inference(tautology,[status(thm)],[])).
% 8.41/5.96 tff(10556,plain,
% 8.41/5.96 (~v121(constB7, bitIndex0)),
% 8.41/5.96 inference(unit_resolution,[status(thm)],[10555, 10554, 10544])).
% 8.41/5.96 tff(10557,plain,
% 8.41/5.96 ((~(v123(constB8, bitIndex0) <=> v121(constB7, bitIndex0))) | (~v123(constB8, bitIndex0)) | v121(constB7, bitIndex0)),
% 8.41/5.96 inference(tautology,[status(thm)],[])).
% 8.41/5.96 tff(10558,plain,
% 8.41/5.96 (~v123(constB8, bitIndex0)),
% 8.41/5.96 inference(unit_resolution,[status(thm)],[10557, 10556, 10540])).
% 8.41/5.96 tff(10559,plain,
% 8.41/5.96 ((~(v84(constB8, bitIndex0) <=> v123(constB8, bitIndex0))) | (~v84(constB8, bitIndex0)) | v123(constB8, bitIndex0)),
% 8.41/5.96 inference(tautology,[status(thm)],[])).
% 8.41/5.96 tff(10560,plain,
% 8.41/5.96 (~v84(constB8, bitIndex0)),
% 8.41/5.96 inference(unit_resolution,[status(thm)],[10559, 10558, 10536])).
% 8.41/5.96 tff(10561,plain,
% 8.41/5.96 ((~(v84(constB9, bitIndex0) <=> v84(constB8, bitIndex0))) | (~v84(constB9, bitIndex0)) | v84(constB8, bitIndex0)),
% 8.41/5.96 inference(tautology,[status(thm)],[])).
% 8.41/5.96 tff(10562,plain,
% 8.41/5.96 (~v84(constB9, bitIndex0)),
% 8.41/5.96 inference(unit_resolution,[status(thm)],[10561, 10560, 10532])).
% 8.41/5.96 tff(10563,plain,
% 8.41/5.96 (((~![B: $i] : ((~less_3(B)) | (v84(constB9, B) <=> v84(constB8, B)))) | ((~less_3(bitIndex1)) | (v84(constB9, bitIndex1) <=> v84(constB8, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB9, B) <=> v84(constB8, B)))) | (~less_3(bitIndex1)) | (v84(constB9, bitIndex1) <=> v84(constB8, bitIndex1)))),
% 8.41/5.96 inference(rewrite,[status(thm)],[])).
% 8.41/5.96 tff(10564,plain,
% 8.41/5.96 ((~![B: $i] : ((~less_3(B)) | (v84(constB9, B) <=> v84(constB8, B)))) | ((~less_3(bitIndex1)) | (v84(constB9, bitIndex1) <=> v84(constB8, bitIndex1)))),
% 8.41/5.96 inference(quant_inst,[status(thm)],[])).
% 8.41/5.96 tff(10565,plain,
% 8.41/5.96 ((~![B: $i] : ((~less_3(B)) | (v84(constB9, B) <=> v84(constB8, B)))) | (~less_3(bitIndex1)) | (v84(constB9, bitIndex1) <=> v84(constB8, bitIndex1))),
% 8.41/5.96 inference(modus_ponens,[status(thm)],[10564, 10563])).
% 8.41/5.96 tff(10566,plain,
% 8.41/5.96 (v84(constB9, bitIndex1) <=> v84(constB8, bitIndex1)),
% 8.41/5.96 inference(unit_resolution,[status(thm)],[10565, 9785, 9384])).
% 8.41/5.96 tff(10567,plain,
% 8.41/5.96 (((~![B: $i] : ((~less_3(B)) | (v84(constB8, B) <=> v123(constB8, B)))) | ((~less_3(bitIndex1)) | (v84(constB8, bitIndex1) <=> v123(constB8, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB8, B) <=> v123(constB8, B)))) | (~less_3(bitIndex1)) | (v84(constB8, bitIndex1) <=> v123(constB8, bitIndex1)))),
% 8.41/5.96 inference(rewrite,[status(thm)],[])).
% 8.41/5.96 tff(10568,plain,
% 8.41/5.96 ((~![B: $i] : ((~less_3(B)) | (v84(constB8, B) <=> v123(constB8, B)))) | ((~less_3(bitIndex1)) | (v84(constB8, bitIndex1) <=> v123(constB8, bitIndex1)))),
% 8.41/5.96 inference(quant_inst,[status(thm)],[])).
% 8.41/5.96 tff(10569,plain,
% 8.41/5.96 ((~![B: $i] : ((~less_3(B)) | (v84(constB8, B) <=> v123(constB8, B)))) | (~less_3(bitIndex1)) | (v84(constB8, bitIndex1) <=> v123(constB8, bitIndex1))),
% 8.41/5.96 inference(modus_ponens,[status(thm)],[10568, 10567])).
% 8.41/5.96 tff(10570,plain,
% 8.41/5.96 (v84(constB8, bitIndex1) <=> v123(constB8, bitIndex1)),
% 8.41/5.96 inference(unit_resolution,[status(thm)],[10569, 9785, 10472])).
% 8.41/5.96 tff(10571,plain,
% 8.41/5.96 (((~![B: $i] : ((~less_3(B)) | (v123(constB8, B) <=> v121(constB7, B)))) | ((~less_3(bitIndex1)) | (v123(constB8, bitIndex1) <=> v121(constB7, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB8, B) <=> v121(constB7, B)))) | (~less_3(bitIndex1)) | (v123(constB8, bitIndex1) <=> v121(constB7, bitIndex1)))),
% 8.41/5.96 inference(rewrite,[status(thm)],[])).
% 8.41/5.96 tff(10572,plain,
% 8.41/5.96 ((~![B: $i] : ((~less_3(B)) | (v123(constB8, B) <=> v121(constB7, B)))) | ((~less_3(bitIndex1)) | (v123(constB8, bitIndex1) <=> v121(constB7, bitIndex1)))),
% 8.41/5.96 inference(quant_inst,[status(thm)],[])).
% 8.41/5.96 tff(10573,plain,
% 8.41/5.96 ((~![B: $i] : ((~less_3(B)) | (v123(constB8, B) <=> v121(constB7, B)))) | (~less_3(bitIndex1)) | (v123(constB8, bitIndex1) <=> v121(constB7, bitIndex1))),
% 8.41/5.96 inference(modus_ponens,[status(thm)],[10572, 10571])).
% 8.41/5.96 tff(10574,plain,
% 8.41/5.96 (v123(constB8, bitIndex1) <=> v121(constB7, bitIndex1)),
% 8.41/5.96 inference(unit_resolution,[status(thm)],[10573, 9785, 10480])).
% 8.41/5.96 tff(10575,plain,
% 8.41/5.96 (((~![B: $i] : ((~less_3(B)) | (v121(constB7, B) <=> v124(constB7, B)))) | ((~less_3(bitIndex1)) | (v121(constB7, bitIndex1) <=> v124(constB7, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB7, B) <=> v124(constB7, B)))) | (~less_3(bitIndex1)) | (v121(constB7, bitIndex1) <=> v124(constB7, bitIndex1)))),
% 8.41/5.96 inference(rewrite,[status(thm)],[])).
% 8.41/5.96 tff(10576,plain,
% 8.41/5.96 ((~![B: $i] : ((~less_3(B)) | (v121(constB7, B) <=> v124(constB7, B)))) | ((~less_3(bitIndex1)) | (v121(constB7, bitIndex1) <=> v124(constB7, bitIndex1)))),
% 8.41/5.96 inference(quant_inst,[status(thm)],[])).
% 8.41/5.96 tff(10577,plain,
% 8.41/5.96 ((~![B: $i] : ((~less_3(B)) | (v121(constB7, B) <=> v124(constB7, B)))) | (~less_3(bitIndex1)) | (v121(constB7, bitIndex1) <=> v124(constB7, bitIndex1))),
% 8.41/5.96 inference(modus_ponens,[status(thm)],[10576, 10575])).
% 8.41/5.96 tff(10578,plain,
% 8.41/5.96 (v121(constB7, bitIndex1) <=> v124(constB7, bitIndex1)),
% 8.41/5.96 inference(unit_resolution,[status(thm)],[10577, 9785, 10488])).
% 8.41/5.96 tff(10579,plain,
% 8.41/5.96 (((~![B: $i] : ((~less_3(B)) | (v124(constB7, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v124(constB7, bitIndex1) <=> b100(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB7, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v124(constB7, bitIndex1) <=> b100(bitIndex1)))),
% 8.41/5.96 inference(rewrite,[status(thm)],[])).
% 8.41/5.96 tff(10580,plain,
% 8.41/5.96 ((~![B: $i] : ((~less_3(B)) | (v124(constB7, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v124(constB7, bitIndex1) <=> b100(bitIndex1)))),
% 8.41/5.96 inference(quant_inst,[status(thm)],[])).
% 8.41/5.96 tff(10581,plain,
% 8.41/5.96 ((~![B: $i] : ((~less_3(B)) | (v124(constB7, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v124(constB7, bitIndex1) <=> b100(bitIndex1))),
% 8.41/5.96 inference(modus_ponens,[status(thm)],[10580, 10579])).
% 8.41/5.96 tff(10582,plain,
% 8.41/5.96 (v124(constB7, bitIndex1) <=> b100(bitIndex1)),
% 8.41/5.96 inference(unit_resolution,[status(thm)],[10581, 9785, 10510])).
% 8.41/5.96 tff(10583,plain,
% 8.41/5.96 ((~b100(bitIndex1)) <=> (~b100(bitIndex1))),
% 8.41/5.96 inference(rewrite,[status(thm)],[])).
% 8.41/5.96 tff(10584,axiom,(~b100(bitIndex1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bitBlastConstant_13')).
% 8.41/5.96 tff(10585,plain,
% 8.41/5.96 (~b100(bitIndex1)),
% 8.41/5.96 inference(modus_ponens,[status(thm)],[10584, 10583])).
% 8.41/5.96 tff(10586,plain,
% 8.41/5.96 ((~(v124(constB7, bitIndex1) <=> b100(bitIndex1))) | (~v124(constB7, bitIndex1)) | b100(bitIndex1)),
% 8.41/5.96 inference(tautology,[status(thm)],[])).
% 8.41/5.96 tff(10587,plain,
% 8.41/5.96 ((~(v124(constB7, bitIndex1) <=> b100(bitIndex1))) | (~v124(constB7, bitIndex1))),
% 8.41/5.96 inference(unit_resolution,[status(thm)],[10586, 10585])).
% 8.41/5.96 tff(10588,plain,
% 8.41/5.96 (~v124(constB7, bitIndex1)),
% 8.41/5.96 inference(unit_resolution,[status(thm)],[10587, 10582])).
% 8.41/5.96 tff(10589,plain,
% 8.41/5.96 ((~(v121(constB7, bitIndex1) <=> v124(constB7, bitIndex1))) | (~v121(constB7, bitIndex1)) | v124(constB7, bitIndex1)),
% 8.41/5.96 inference(tautology,[status(thm)],[])).
% 8.41/5.96 tff(10590,plain,
% 8.41/5.96 (~v121(constB7, bitIndex1)),
% 8.41/5.96 inference(unit_resolution,[status(thm)],[10589, 10588, 10578])).
% 8.41/5.96 tff(10591,plain,
% 8.41/5.96 ((~(v123(constB8, bitIndex1) <=> v121(constB7, bitIndex1))) | (~v123(constB8, bitIndex1)) | v121(constB7, bitIndex1)),
% 8.41/5.96 inference(tautology,[status(thm)],[])).
% 8.41/5.96 tff(10592,plain,
% 8.41/5.96 (~v123(constB8, bitIndex1)),
% 8.41/5.96 inference(unit_resolution,[status(thm)],[10591, 10590, 10574])).
% 8.41/5.96 tff(10593,plain,
% 8.41/5.96 ((~(v84(constB8, bitIndex1) <=> v123(constB8, bitIndex1))) | (~v84(constB8, bitIndex1)) | v123(constB8, bitIndex1)),
% 8.41/5.96 inference(tautology,[status(thm)],[])).
% 8.41/5.96 tff(10594,plain,
% 8.41/5.96 (~v84(constB8, bitIndex1)),
% 8.41/5.96 inference(unit_resolution,[status(thm)],[10593, 10592, 10570])).
% 8.41/5.96 tff(10595,plain,
% 8.41/5.96 ((~(v84(constB9, bitIndex1) <=> v84(constB8, bitIndex1))) | (~v84(constB9, bitIndex1)) | v84(constB8, bitIndex1)),
% 8.41/5.96 inference(tautology,[status(thm)],[])).
% 8.41/5.96 tff(10596,plain,
% 8.41/5.96 (~v84(constB9, bitIndex1)),
% 8.41/5.96 inference(unit_resolution,[status(thm)],[10595, 10594, 10566])).
% 8.41/5.96 tff(10597,plain,
% 8.41/5.96 ((~((~v84(constB9, bitIndex2)) | v84(constB9, bitIndex1) | v84(constB9, bitIndex0))) | (~v84(constB9, bitIndex2)) | v84(constB9, bitIndex1) | v84(constB9, bitIndex0)),
% 8.41/5.96 inference(tautology,[status(thm)],[])).
% 8.41/5.96 tff(10598,plain,
% 8.41/5.96 (~((~v84(constB9, bitIndex2)) | v84(constB9, bitIndex1) | v84(constB9, bitIndex0))),
% 8.41/5.96 inference(unit_resolution,[status(thm)],[10597, 10596, 10562, 10528])).
% 8.41/5.96 tff(10599,plain,
% 8.41/5.96 ((~(v117(constB9) <=> (~((~v84(constB9, bitIndex2)) | v84(constB9, bitIndex1) | v84(constB9, bitIndex0))))) | v117(constB9) | ((~v84(constB9, bitIndex2)) | v84(constB9, bitIndex1) | v84(constB9, bitIndex0))),
% 8.41/5.96 inference(tautology,[status(thm)],[])).
% 8.41/5.96 tff(10600,plain,
% 8.41/5.96 (v117(constB9)),
% 8.41/5.96 inference(unit_resolution,[status(thm)],[10599, 10598, 9356])).
% 8.41/5.96 tff(10601,plain,
% 8.41/5.96 ((v110(constB9) | v117(constB9)) | (~v117(constB9))),
% 8.41/5.96 inference(tautology,[status(thm)],[])).
% 8.41/5.96 tff(10602,plain,
% 8.41/5.96 (v110(constB9) | v117(constB9)),
% 8.41/5.96 inference(unit_resolution,[status(thm)],[10601, 10600])).
% 8.41/5.96 tff(10603,plain,
% 8.41/5.96 ((~(v109(constB9) <=> (v110(constB9) | v117(constB9)))) | v109(constB9) | (~(v110(constB9) | v117(constB9)))),
% 8.41/5.96 inference(tautology,[status(thm)],[])).
% 8.41/5.96 tff(10604,plain,
% 8.41/5.96 (v109(constB9)),
% 8.41/5.96 inference(unit_resolution,[status(thm)],[10603, 10602, 9349])).
% 8.41/5.96 tff(10605,plain,
% 8.41/5.96 ((v109(constB9) | v118(constB9)) | (~v109(constB9))),
% 8.41/5.96 inference(tautology,[status(thm)],[])).
% 8.41/5.96 tff(10606,plain,
% 8.41/5.96 (v109(constB9) | v118(constB9)),
% 8.41/5.96 inference(unit_resolution,[status(thm)],[10605, 10604])).
% 8.41/5.96 tff(10607,plain,
% 8.41/5.96 ((~(v108(constB9) <=> (v109(constB9) | v118(constB9)))) | v108(constB9) | (~(v109(constB9) | v118(constB9)))),
% 8.41/5.96 inference(tautology,[status(thm)],[])).
% 8.41/5.96 tff(10608,plain,
% 8.41/5.96 (v108(constB9)),
% 8.41/5.96 inference(unit_resolution,[status(thm)],[10607, 10606, 9347])).
% 8.41/5.96 tff(10609,plain,
% 8.41/5.96 ((v108(constB9) | v119(constB9)) | (~v108(constB9))),
% 8.41/5.96 inference(tautology,[status(thm)],[])).
% 8.41/5.96 tff(10610,plain,
% 8.41/5.96 (v108(constB9) | v119(constB9)),
% 8.41/5.96 inference(unit_resolution,[status(thm)],[10609, 10608])).
% 8.41/5.96 tff(10611,plain,
% 8.41/5.96 ((~(v107(constB9) <=> (v108(constB9) | v119(constB9)))) | v107(constB9) | (~(v108(constB9) | v119(constB9)))),
% 8.41/5.96 inference(tautology,[status(thm)],[])).
% 8.41/5.96 tff(10612,plain,
% 8.41/5.96 (v107(constB9)),
% 8.41/5.96 inference(unit_resolution,[status(thm)],[10611, 10610, 9345])).
% 8.41/5.96 tff(10613,plain,
% 8.41/5.96 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB9)) <=> v105(constB9))),
% 8.41/5.96 inference(quant_inst,[status(thm)],[])).
% 8.41/5.96 tff(10614,plain,
% 8.41/5.96 ((~v120(constB9)) <=> v105(constB9)),
% 8.41/5.96 inference(unit_resolution,[status(thm)],[10613, 9842])).
% 8.41/5.96 tff(10615,plain,
% 8.41/5.96 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB9) <=> v26(constB9))),
% 8.41/5.96 inference(quant_inst,[status(thm)],[])).
% 8.41/5.96 tff(10616,plain,
% 8.41/5.96 (v105(constB9) <=> v26(constB9)),
% 8.41/5.96 inference(unit_resolution,[status(thm)],[10615, 9854])).
% 8.41/5.96 tff(10617,plain,
% 8.41/5.96 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB9))),
% 8.41/5.96 inference(quant_inst,[status(thm)],[])).
% 8.41/5.96 tff(10618,plain,
% 8.41/5.96 (~v26(constB9)),
% 8.41/5.96 inference(unit_resolution,[status(thm)],[10617, 9866])).
% 8.41/5.96 tff(10619,plain,
% 8.41/5.96 ((~(v105(constB9) <=> v26(constB9))) | (~v105(constB9)) | v26(constB9)),
% 8.41/5.96 inference(tautology,[status(thm)],[])).
% 8.41/5.96 tff(10620,plain,
% 8.41/5.96 ((~(v105(constB9) <=> v26(constB9))) | (~v105(constB9))),
% 8.41/5.96 inference(unit_resolution,[status(thm)],[10619, 10618])).
% 8.41/5.96 tff(10621,plain,
% 8.41/5.96 (~v105(constB9)),
% 8.41/5.96 inference(unit_resolution,[status(thm)],[10620, 10616])).
% 8.41/5.96 tff(10622,plain,
% 8.41/5.96 ((~((~v120(constB9)) <=> v105(constB9))) | v120(constB9) | v105(constB9)),
% 8.41/5.96 inference(tautology,[status(thm)],[])).
% 8.41/5.96 tff(10623,plain,
% 8.41/5.96 ((~((~v120(constB9)) <=> v105(constB9))) | v120(constB9)),
% 8.41/5.96 inference(unit_resolution,[status(thm)],[10622, 10621])).
% 8.41/5.96 tff(10624,plain,
% 8.41/5.96 (v120(constB9)),
% 8.41/5.96 inference(unit_resolution,[status(thm)],[10623, 10614])).
% 8.41/5.96 tff(10625,plain,
% 8.41/5.96 ((~((~v107(constB9)) | (~v120(constB9)))) | (~v107(constB9)) | (~v120(constB9))),
% 8.41/5.96 inference(tautology,[status(thm)],[])).
% 8.41/5.96 tff(10626,plain,
% 8.41/5.96 ((~((~v107(constB9)) | (~v120(constB9)))) | (~v107(constB9))),
% 8.41/5.96 inference(unit_resolution,[status(thm)],[10625, 10624])).
% 8.41/5.96 tff(10627,plain,
% 8.41/5.96 (~((~v107(constB9)) | (~v120(constB9)))),
% 8.41/5.96 inference(unit_resolution,[status(thm)],[10626, 10612])).
% 8.41/5.96 tff(10628,plain,
% 8.41/5.96 ((~(v106(constB9) <=> (~((~v107(constB9)) | (~v120(constB9)))))) | v106(constB9) | ((~v107(constB9)) | (~v120(constB9)))),
% 8.41/5.96 inference(tautology,[status(thm)],[])).
% 8.41/5.96 tff(10629,plain,
% 8.41/5.96 (v106(constB9)),
% 8.41/5.96 inference(unit_resolution,[status(thm)],[10628, 10627, 9343])).
% 8.41/5.96 tff(10630,plain,
% 8.41/5.96 ((v105(constB9) | v106(constB9)) | (~v106(constB9))),
% 8.41/5.96 inference(tautology,[status(thm)],[])).
% 8.41/5.96 tff(10631,plain,
% 8.41/5.96 (v105(constB9) | v106(constB9)),
% 8.41/5.96 inference(unit_resolution,[status(thm)],[10630, 10629])).
% 8.41/5.96 tff(10632,plain,
% 8.41/5.96 ((~(v102(constB9) <=> (v105(constB9) | v106(constB9)))) | v102(constB9) | (~(v105(constB9) | v106(constB9)))),
% 8.41/5.96 inference(tautology,[status(thm)],[])).
% 8.41/5.96 tff(10633,plain,
% 8.41/5.96 (v102(constB9)),
% 8.41/5.96 inference(unit_resolution,[status(thm)],[10632, 10631, 9341])).
% 8.41/5.96 tff(10634,plain,
% 8.41/5.96 ((~(v104(constB10) <=> v102(constB9))) | v104(constB10) | (~v102(constB9))),
% 8.41/5.96 inference(tautology,[status(thm)],[])).
% 8.41/5.96 tff(10635,plain,
% 8.41/5.96 (v104(constB10)),
% 8.41/5.96 inference(unit_resolution,[status(thm)],[10634, 10633, 9339])).
% 8.41/5.96 tff(10636,plain,
% 8.41/5.96 ((~((~v104(constB10)) | (~v95(constB10)))) | (~v104(constB10)) | (~v95(constB10))),
% 8.41/5.96 inference(tautology,[status(thm)],[])).
% 8.41/5.96 tff(10637,plain,
% 8.41/5.96 (~((~v104(constB10)) | (~v95(constB10)))),
% 8.41/5.96 inference(unit_resolution,[status(thm)],[10636, 10635, 9335])).
% 8.41/5.96 tff(10638,plain,
% 8.41/5.96 ((~(v94(constB10) <=> (~((~v104(constB10)) | (~v95(constB10)))))) | v94(constB10) | ((~v104(constB10)) | (~v95(constB10)))),
% 8.41/5.96 inference(tautology,[status(thm)],[])).
% 8.41/5.96 tff(10639,plain,
% 8.41/5.96 (v94(constB10)),
% 8.41/5.96 inference(unit_resolution,[status(thm)],[10638, 10637, 9304])).
% 8.41/5.96 tff(10640,plain,
% 8.41/5.96 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB10)) | ![B: $i] : ((~less_3(B)) | (v84(constB10, B) <=> v123(constB10, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB10)) | ![B: $i] : ((~less_3(B)) | (v84(constB10, B) <=> v123(constB10, B))))),
% 8.41/5.96 inference(rewrite,[status(thm)],[])).
% 8.41/5.96 tff(10641,plain,
% 8.41/5.96 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB10)) | ![B: $i] : ((~less_3(B)) | (v84(constB10, B) <=> v123(constB10, B))))),
% 8.41/5.96 inference(quant_inst,[status(thm)],[])).
% 8.41/5.96 tff(10642,plain,
% 8.41/5.96 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB10)) | ![B: $i] : ((~less_3(B)) | (v84(constB10, B) <=> v123(constB10, B)))),
% 8.41/5.96 inference(modus_ponens,[status(thm)],[10641, 10640])).
% 8.41/5.96 tff(10643,plain,
% 8.41/5.96 ((~v94(constB10)) | ![B: $i] : ((~less_3(B)) | (v84(constB10, B) <=> v123(constB10, B)))),
% 8.41/5.96 inference(unit_resolution,[status(thm)],[10642, 9902])).
% 8.41/5.96 tff(10644,plain,
% 8.41/5.96 (![B: $i] : ((~less_3(B)) | (v84(constB10, B) <=> v123(constB10, B)))),
% 8.41/5.96 inference(unit_resolution,[status(thm)],[10643, 10639])).
% 8.41/5.96 tff(10645,plain,
% 8.41/5.96 (((~![B: $i] : ((~less_3(B)) | (v84(constB10, B) <=> v123(constB10, B)))) | ((~less_3(bitIndex2)) | (v84(constB10, bitIndex2) <=> v123(constB10, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB10, B) <=> v123(constB10, B)))) | (~less_3(bitIndex2)) | (v84(constB10, bitIndex2) <=> v123(constB10, bitIndex2)))),
% 8.41/5.96 inference(rewrite,[status(thm)],[])).
% 8.41/5.96 tff(10646,plain,
% 8.41/5.96 ((~![B: $i] : ((~less_3(B)) | (v84(constB10, B) <=> v123(constB10, B)))) | ((~less_3(bitIndex2)) | (v84(constB10, bitIndex2) <=> v123(constB10, bitIndex2)))),
% 8.41/5.96 inference(quant_inst,[status(thm)],[])).
% 8.41/5.96 tff(10647,plain,
% 8.41/5.96 ((~![B: $i] : ((~less_3(B)) | (v84(constB10, B) <=> v123(constB10, B)))) | (~less_3(bitIndex2)) | (v84(constB10, bitIndex2) <=> v123(constB10, bitIndex2))),
% 8.41/5.96 inference(modus_ponens,[status(thm)],[10646, 10645])).
% 8.41/5.96 tff(10648,plain,
% 8.41/5.96 (v84(constB10, bitIndex2) <=> v123(constB10, bitIndex2)),
% 8.41/5.96 inference(unit_resolution,[status(thm)],[10647, 832, 10644])).
% 8.41/5.96 tff(10649,plain,
% 8.41/5.96 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB9, constB10)) | ![B: $i] : ((~less_3(B)) | (v123(constB10, B) <=> v121(constB9, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB9, constB10)) | ![B: $i] : ((~less_3(B)) | (v123(constB10, B) <=> v121(constB9, B))))),
% 8.41/5.96 inference(rewrite,[status(thm)],[])).
% 8.41/5.96 tff(10650,plain,
% 8.41/5.96 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB9, constB10)) | ![B: $i] : ((~less_3(B)) | (v123(constB10, B) <=> v121(constB9, B))))),
% 8.41/5.96 inference(quant_inst,[status(thm)],[])).
% 8.41/5.96 tff(10651,plain,
% 8.41/5.96 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB9, constB10)) | ![B: $i] : ((~less_3(B)) | (v123(constB10, B) <=> v121(constB9, B)))),
% 8.41/5.96 inference(modus_ponens,[status(thm)],[10650, 10649])).
% 8.41/5.96 tff(10652,plain,
% 8.41/5.96 (![B: $i] : ((~less_3(B)) | (v123(constB10, B) <=> v121(constB9, B)))),
% 8.41/5.96 inference(unit_resolution,[status(thm)],[10651, 9300, 9924])).
% 8.41/5.96 tff(10653,plain,
% 8.41/5.96 (((~![B: $i] : ((~less_3(B)) | (v123(constB10, B) <=> v121(constB9, B)))) | ((~less_3(bitIndex2)) | (v123(constB10, bitIndex2) <=> v121(constB9, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB10, B) <=> v121(constB9, B)))) | (~less_3(bitIndex2)) | (v123(constB10, bitIndex2) <=> v121(constB9, bitIndex2)))),
% 8.41/5.96 inference(rewrite,[status(thm)],[])).
% 8.41/5.96 tff(10654,plain,
% 8.41/5.96 ((~![B: $i] : ((~less_3(B)) | (v123(constB10, B) <=> v121(constB9, B)))) | ((~less_3(bitIndex2)) | (v123(constB10, bitIndex2) <=> v121(constB9, bitIndex2)))),
% 8.41/5.96 inference(quant_inst,[status(thm)],[])).
% 8.41/5.96 tff(10655,plain,
% 8.41/5.96 ((~![B: $i] : ((~less_3(B)) | (v123(constB10, B) <=> v121(constB9, B)))) | (~less_3(bitIndex2)) | (v123(constB10, bitIndex2) <=> v121(constB9, bitIndex2))),
% 8.41/5.96 inference(modus_ponens,[status(thm)],[10654, 10653])).
% 8.41/5.96 tff(10656,plain,
% 8.41/5.96 (v123(constB10, bitIndex2) <=> v121(constB9, bitIndex2)),
% 8.41/5.96 inference(unit_resolution,[status(thm)],[10655, 832, 10652])).
% 8.41/5.96 tff(10657,plain,
% 8.41/5.96 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB9) | ![B: $i] : ((~less_3(B)) | (v121(constB9, B) <=> v124(constB9, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB9) | ![B: $i] : ((~less_3(B)) | (v121(constB9, B) <=> v124(constB9, B))))),
% 8.41/5.96 inference(rewrite,[status(thm)],[])).
% 8.41/5.96 tff(10658,plain,
% 8.41/5.96 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB9) | ![B: $i] : ((~less_3(B)) | (v121(constB9, B) <=> v124(constB9, B))))),
% 8.41/5.96 inference(quant_inst,[status(thm)],[])).
% 8.41/5.96 tff(10659,plain,
% 8.41/5.96 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB9) | ![B: $i] : ((~less_3(B)) | (v121(constB9, B) <=> v124(constB9, B)))),
% 8.41/5.96 inference(modus_ponens,[status(thm)],[10658, 10657])).
% 8.41/5.96 tff(10660,plain,
% 8.41/5.96 (![B: $i] : ((~less_3(B)) | (v121(constB9, B) <=> v124(constB9, B)))),
% 8.41/5.96 inference(unit_resolution,[status(thm)],[10659, 9945, 10621])).
% 8.41/5.96 tff(10661,plain,
% 8.41/5.96 (((~![B: $i] : ((~less_3(B)) | (v121(constB9, B) <=> v124(constB9, B)))) | ((~less_3(bitIndex2)) | (v121(constB9, bitIndex2) <=> v124(constB9, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB9, B) <=> v124(constB9, B)))) | (~less_3(bitIndex2)) | (v121(constB9, bitIndex2) <=> v124(constB9, bitIndex2)))),
% 8.41/5.96 inference(rewrite,[status(thm)],[])).
% 8.41/5.96 tff(10662,plain,
% 8.41/5.96 ((~![B: $i] : ((~less_3(B)) | (v121(constB9, B) <=> v124(constB9, B)))) | ((~less_3(bitIndex2)) | (v121(constB9, bitIndex2) <=> v124(constB9, bitIndex2)))),
% 8.41/5.96 inference(quant_inst,[status(thm)],[])).
% 8.41/5.96 tff(10663,plain,
% 8.41/5.96 ((~![B: $i] : ((~less_3(B)) | (v121(constB9, B) <=> v124(constB9, B)))) | (~less_3(bitIndex2)) | (v121(constB9, bitIndex2) <=> v124(constB9, bitIndex2))),
% 8.41/5.96 inference(modus_ponens,[status(thm)],[10662, 10661])).
% 8.41/5.96 tff(10664,plain,
% 8.41/5.96 (v121(constB9, bitIndex2) <=> v124(constB9, bitIndex2)),
% 8.41/5.96 inference(unit_resolution,[status(thm)],[10663, 832, 10660])).
% 8.41/5.96 tff(10665,plain,
% 8.41/5.96 (^[VarCurr: $i] : refl(((~v117(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b101(B)))) <=> ((~v117(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b101(B)))))),
% 8.41/5.96 inference(bind,[status(th)],[])).
% 8.41/5.96 tff(10666,plain,
% 8.41/5.96 (![VarCurr: $i] : ((~v117(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b101(B)))) <=> ![VarCurr: $i] : ((~v117(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b101(B))))),
% 8.41/5.96 inference(quant_intro,[status(thm)],[10665])).
% 8.41/5.96 tff(10667,plain,
% 8.41/5.96 (^[VarCurr: $i] : rewrite(((~v117(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b101(B)))) <=> ((~v117(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b101(B)))))),
% 8.41/5.96 inference(bind,[status(th)],[])).
% 8.41/5.96 tff(10668,plain,
% 8.41/5.96 (![VarCurr: $i] : ((~v117(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b101(B)))) <=> ![VarCurr: $i] : ((~v117(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b101(B))))),
% 8.41/5.96 inference(quant_intro,[status(thm)],[10667])).
% 8.41/5.96 tff(10669,plain,
% 8.41/5.96 (![VarCurr: $i] : ((~v117(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b101(B)))) <=> ![VarCurr: $i] : ((~v117(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b101(B))))),
% 8.41/5.96 inference(transitivity,[status(thm)],[10668, 10666])).
% 8.41/5.96 tff(10670,plain,
% 8.41/5.96 (![VarCurr: $i] : ((~v117(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b101(B)))) <=> ![VarCurr: $i] : ((~v117(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b101(B))))),
% 8.41/5.96 inference(rewrite,[status(thm)],[])).
% 8.41/5.96 tff(10671,plain,
% 8.41/5.96 (^[VarCurr: $i] : trans(monotonicity(quant_intro(proof_bind(^[B: $i] : rewrite((less_3(B) => (v124(VarCurr, B) <=> b101(B))) <=> ((~less_3(B)) | (v124(VarCurr, B) <=> b101(B))))), (![B: $i] : (less_3(B) => (v124(VarCurr, B) <=> b101(B))) <=> ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b101(B))))), ((v117(VarCurr) => ![B: $i] : (less_3(B) => (v124(VarCurr, B) <=> b101(B)))) <=> (v117(VarCurr) => ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b101(B)))))), rewrite((v117(VarCurr) => ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b101(B)))) <=> ((~v117(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b101(B))))), ((v117(VarCurr) => ![B: $i] : (less_3(B) => (v124(VarCurr, B) <=> b101(B)))) <=> ((~v117(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b101(B))))))),
% 8.41/5.96 inference(bind,[status(th)],[])).
% 8.41/5.96 tff(10672,plain,
% 8.41/5.96 (![VarCurr: $i] : (v117(VarCurr) => ![B: $i] : (less_3(B) => (v124(VarCurr, B) <=> b101(B)))) <=> ![VarCurr: $i] : ((~v117(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b101(B))))),
% 8.41/5.96 inference(quant_intro,[status(thm)],[10671])).
% 8.41/5.96 tff(10673,axiom,(![VarCurr: $i] : (v117(VarCurr) => ![B: $i] : (less_3(B) => (v124(VarCurr, B) <=> b101(B))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges4')).
% 8.41/5.96 tff(10674,plain,
% 8.41/5.96 (![VarCurr: $i] : ((~v117(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b101(B))))),
% 8.41/5.96 inference(modus_ponens,[status(thm)],[10673, 10672])).
% 8.41/5.96 tff(10675,plain,
% 8.41/5.96 (![VarCurr: $i] : ((~v117(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b101(B))))),
% 8.41/5.96 inference(modus_ponens,[status(thm)],[10674, 10670])).
% 8.41/5.96 tff(10676,plain,(
% 8.41/5.96 ![VarCurr: $i] : ((~v117(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b101(B))))),
% 8.41/5.96 inference(skolemize,[status(sab)],[10675])).
% 8.41/5.96 tff(10677,plain,
% 8.41/5.96 (![VarCurr: $i] : ((~v117(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b101(B))))),
% 8.41/5.96 inference(modus_ponens,[status(thm)],[10676, 10669])).
% 8.41/5.96 tff(10678,plain,
% 8.41/5.96 (((~![VarCurr: $i] : ((~v117(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b101(B))))) | ((~v117(constB9)) | ![B: $i] : ((~less_3(B)) | (v124(constB9, B) <=> b101(B))))) <=> ((~![VarCurr: $i] : ((~v117(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b101(B))))) | (~v117(constB9)) | ![B: $i] : ((~less_3(B)) | (v124(constB9, B) <=> b101(B))))),
% 8.41/5.96 inference(rewrite,[status(thm)],[])).
% 8.41/5.96 tff(10679,plain,
% 8.41/5.96 ((~![VarCurr: $i] : ((~v117(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b101(B))))) | ((~v117(constB9)) | ![B: $i] : ((~less_3(B)) | (v124(constB9, B) <=> b101(B))))),
% 8.41/5.96 inference(quant_inst,[status(thm)],[])).
% 8.41/5.96 tff(10680,plain,
% 8.41/5.96 ((~![VarCurr: $i] : ((~v117(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b101(B))))) | (~v117(constB9)) | ![B: $i] : ((~less_3(B)) | (v124(constB9, B) <=> b101(B)))),
% 8.41/5.96 inference(modus_ponens,[status(thm)],[10679, 10678])).
% 8.41/5.96 tff(10681,plain,
% 8.41/5.96 ((~v117(constB9)) | ![B: $i] : ((~less_3(B)) | (v124(constB9, B) <=> b101(B)))),
% 8.41/5.96 inference(unit_resolution,[status(thm)],[10680, 10677])).
% 8.41/5.96 tff(10682,plain,
% 8.41/5.96 (![B: $i] : ((~less_3(B)) | (v124(constB9, B) <=> b101(B)))),
% 8.41/5.96 inference(unit_resolution,[status(thm)],[10681, 10600])).
% 8.41/5.96 tff(10683,plain,
% 8.41/5.96 (((~![B: $i] : ((~less_3(B)) | (v124(constB9, B) <=> b101(B)))) | ((~less_3(bitIndex2)) | (v124(constB9, bitIndex2) <=> b101(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB9, B) <=> b101(B)))) | (~less_3(bitIndex2)) | (v124(constB9, bitIndex2) <=> b101(bitIndex2)))),
% 8.41/5.96 inference(rewrite,[status(thm)],[])).
% 8.41/5.96 tff(10684,plain,
% 8.41/5.96 ((~![B: $i] : ((~less_3(B)) | (v124(constB9, B) <=> b101(B)))) | ((~less_3(bitIndex2)) | (v124(constB9, bitIndex2) <=> b101(bitIndex2)))),
% 8.41/5.96 inference(quant_inst,[status(thm)],[])).
% 8.41/5.96 tff(10685,plain,
% 8.41/5.96 ((~![B: $i] : ((~less_3(B)) | (v124(constB9, B) <=> b101(B)))) | (~less_3(bitIndex2)) | (v124(constB9, bitIndex2) <=> b101(bitIndex2))),
% 8.41/5.96 inference(modus_ponens,[status(thm)],[10684, 10683])).
% 8.41/5.96 tff(10686,plain,
% 8.41/5.96 (v124(constB9, bitIndex2) <=> b101(bitIndex2)),
% 8.41/5.96 inference(unit_resolution,[status(thm)],[10685, 832, 10682])).
% 8.41/5.96 tff(10687,plain,
% 8.41/5.96 (b101(bitIndex2) <=> b101(bitIndex2)),
% 8.41/5.96 inference(rewrite,[status(thm)],[])).
% 8.41/5.96 tff(10688,axiom,(b101(bitIndex2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bitBlastConstant_17')).
% 8.41/5.96 tff(10689,plain,
% 8.41/5.96 (b101(bitIndex2)),
% 8.41/5.96 inference(modus_ponens,[status(thm)],[10688, 10687])).
% 8.41/5.96 tff(10690,plain,
% 8.41/5.96 ((~(v124(constB9, bitIndex2) <=> b101(bitIndex2))) | v124(constB9, bitIndex2) | (~b101(bitIndex2))),
% 8.41/5.96 inference(tautology,[status(thm)],[])).
% 8.41/5.96 tff(10691,plain,
% 8.41/5.96 ((~(v124(constB9, bitIndex2) <=> b101(bitIndex2))) | v124(constB9, bitIndex2)),
% 8.41/5.96 inference(unit_resolution,[status(thm)],[10690, 10689])).
% 8.41/5.96 tff(10692,plain,
% 8.41/5.96 (v124(constB9, bitIndex2)),
% 8.41/5.96 inference(unit_resolution,[status(thm)],[10691, 10686])).
% 8.41/5.96 tff(10693,plain,
% 8.41/5.96 ((~(v121(constB9, bitIndex2) <=> v124(constB9, bitIndex2))) | v121(constB9, bitIndex2) | (~v124(constB9, bitIndex2))),
% 8.41/5.96 inference(tautology,[status(thm)],[])).
% 8.41/5.96 tff(10694,plain,
% 8.41/5.96 (v121(constB9, bitIndex2)),
% 8.41/5.96 inference(unit_resolution,[status(thm)],[10693, 10692, 10664])).
% 8.41/5.96 tff(10695,plain,
% 8.41/5.96 ((~(v123(constB10, bitIndex2) <=> v121(constB9, bitIndex2))) | v123(constB10, bitIndex2) | (~v121(constB9, bitIndex2))),
% 8.41/5.96 inference(tautology,[status(thm)],[])).
% 8.41/5.96 tff(10696,plain,
% 8.41/5.96 (v123(constB10, bitIndex2)),
% 8.41/5.96 inference(unit_resolution,[status(thm)],[10695, 10694, 10656])).
% 8.41/5.96 tff(10697,plain,
% 8.41/5.96 ((~(v84(constB10, bitIndex2) <=> v123(constB10, bitIndex2))) | v84(constB10, bitIndex2) | (~v123(constB10, bitIndex2))),
% 8.41/5.96 inference(tautology,[status(thm)],[])).
% 8.41/5.96 tff(10698,plain,
% 8.41/5.96 (v84(constB10, bitIndex2)),
% 8.41/5.96 inference(unit_resolution,[status(thm)],[10697, 10696, 10648])).
% 8.41/5.96 tff(10699,plain,
% 8.41/5.96 ((~(v84(constB11, bitIndex2) <=> v84(constB10, bitIndex2))) | v84(constB11, bitIndex2) | (~v84(constB10, bitIndex2))),
% 8.41/5.96 inference(tautology,[status(thm)],[])).
% 8.41/5.96 tff(10700,plain,
% 8.41/5.96 (v84(constB11, bitIndex2)),
% 8.41/5.96 inference(unit_resolution,[status(thm)],[10699, 10698, 9297])).
% 8.41/5.96 tff(10701,plain,
% 8.41/5.96 (((~![B: $i] : ((~less_3(B)) | (v84(constB11, B) <=> v84(constB10, B)))) | ((~less_3(bitIndex0)) | (v84(constB11, bitIndex0) <=> v84(constB10, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB11, B) <=> v84(constB10, B)))) | (~less_3(bitIndex0)) | (v84(constB11, bitIndex0) <=> v84(constB10, bitIndex0)))),
% 8.41/5.96 inference(rewrite,[status(thm)],[])).
% 8.41/5.96 tff(10702,plain,
% 8.41/5.96 ((~![B: $i] : ((~less_3(B)) | (v84(constB11, B) <=> v84(constB10, B)))) | ((~less_3(bitIndex0)) | (v84(constB11, bitIndex0) <=> v84(constB10, bitIndex0)))),
% 8.41/5.96 inference(quant_inst,[status(thm)],[])).
% 8.41/5.96 tff(10703,plain,
% 8.41/5.96 ((~![B: $i] : ((~less_3(B)) | (v84(constB11, B) <=> v84(constB10, B)))) | (~less_3(bitIndex0)) | (v84(constB11, bitIndex0) <=> v84(constB10, bitIndex0))),
% 8.41/5.96 inference(modus_ponens,[status(thm)],[10702, 10701])).
% 8.41/5.96 tff(10704,plain,
% 8.41/5.96 (v84(constB11, bitIndex0) <=> v84(constB10, bitIndex0)),
% 8.41/5.96 inference(unit_resolution,[status(thm)],[10703, 9772, 9293])).
% 8.41/5.96 tff(10705,plain,
% 8.41/5.96 (((~![B: $i] : ((~less_3(B)) | (v84(constB10, B) <=> v123(constB10, B)))) | ((~less_3(bitIndex0)) | (v84(constB10, bitIndex0) <=> v123(constB10, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB10, B) <=> v123(constB10, B)))) | (~less_3(bitIndex0)) | (v84(constB10, bitIndex0) <=> v123(constB10, bitIndex0)))),
% 8.41/5.96 inference(rewrite,[status(thm)],[])).
% 8.41/5.96 tff(10706,plain,
% 8.41/5.96 ((~![B: $i] : ((~less_3(B)) | (v84(constB10, B) <=> v123(constB10, B)))) | ((~less_3(bitIndex0)) | (v84(constB10, bitIndex0) <=> v123(constB10, bitIndex0)))),
% 8.41/5.96 inference(quant_inst,[status(thm)],[])).
% 8.41/5.96 tff(10707,plain,
% 8.41/5.96 ((~![B: $i] : ((~less_3(B)) | (v84(constB10, B) <=> v123(constB10, B)))) | (~less_3(bitIndex0)) | (v84(constB10, bitIndex0) <=> v123(constB10, bitIndex0))),
% 8.41/5.96 inference(modus_ponens,[status(thm)],[10706, 10705])).
% 8.41/5.96 tff(10708,plain,
% 8.41/5.96 (v84(constB10, bitIndex0) <=> v123(constB10, bitIndex0)),
% 8.41/5.96 inference(unit_resolution,[status(thm)],[10707, 9772, 10644])).
% 8.41/5.96 tff(10709,plain,
% 8.41/5.96 (((~![B: $i] : ((~less_3(B)) | (v123(constB10, B) <=> v121(constB9, B)))) | ((~less_3(bitIndex0)) | (v123(constB10, bitIndex0) <=> v121(constB9, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB10, B) <=> v121(constB9, B)))) | (~less_3(bitIndex0)) | (v123(constB10, bitIndex0) <=> v121(constB9, bitIndex0)))),
% 8.41/5.96 inference(rewrite,[status(thm)],[])).
% 8.41/5.96 tff(10710,plain,
% 8.41/5.96 ((~![B: $i] : ((~less_3(B)) | (v123(constB10, B) <=> v121(constB9, B)))) | ((~less_3(bitIndex0)) | (v123(constB10, bitIndex0) <=> v121(constB9, bitIndex0)))),
% 8.41/5.96 inference(quant_inst,[status(thm)],[])).
% 8.41/5.96 tff(10711,plain,
% 8.41/5.96 ((~![B: $i] : ((~less_3(B)) | (v123(constB10, B) <=> v121(constB9, B)))) | (~less_3(bitIndex0)) | (v123(constB10, bitIndex0) <=> v121(constB9, bitIndex0))),
% 8.41/5.96 inference(modus_ponens,[status(thm)],[10710, 10709])).
% 8.41/5.96 tff(10712,plain,
% 8.41/5.96 (v123(constB10, bitIndex0) <=> v121(constB9, bitIndex0)),
% 8.41/5.96 inference(unit_resolution,[status(thm)],[10711, 9772, 10652])).
% 8.41/5.96 tff(10713,plain,
% 8.41/5.96 (((~![B: $i] : ((~less_3(B)) | (v121(constB9, B) <=> v124(constB9, B)))) | ((~less_3(bitIndex0)) | (v121(constB9, bitIndex0) <=> v124(constB9, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB9, B) <=> v124(constB9, B)))) | (~less_3(bitIndex0)) | (v121(constB9, bitIndex0) <=> v124(constB9, bitIndex0)))),
% 8.41/5.96 inference(rewrite,[status(thm)],[])).
% 8.41/5.96 tff(10714,plain,
% 8.41/5.96 ((~![B: $i] : ((~less_3(B)) | (v121(constB9, B) <=> v124(constB9, B)))) | ((~less_3(bitIndex0)) | (v121(constB9, bitIndex0) <=> v124(constB9, bitIndex0)))),
% 8.41/5.96 inference(quant_inst,[status(thm)],[])).
% 8.41/5.96 tff(10715,plain,
% 8.41/5.96 ((~![B: $i] : ((~less_3(B)) | (v121(constB9, B) <=> v124(constB9, B)))) | (~less_3(bitIndex0)) | (v121(constB9, bitIndex0) <=> v124(constB9, bitIndex0))),
% 8.41/5.96 inference(modus_ponens,[status(thm)],[10714, 10713])).
% 8.41/5.96 tff(10716,plain,
% 8.41/5.96 (v121(constB9, bitIndex0) <=> v124(constB9, bitIndex0)),
% 8.41/5.96 inference(unit_resolution,[status(thm)],[10715, 9772, 10660])).
% 8.41/5.96 tff(10717,plain,
% 8.41/5.96 (((~![B: $i] : ((~less_3(B)) | (v124(constB9, B) <=> b101(B)))) | ((~less_3(bitIndex0)) | (v124(constB9, bitIndex0) <=> b101(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB9, B) <=> b101(B)))) | (~less_3(bitIndex0)) | (v124(constB9, bitIndex0) <=> b101(bitIndex0)))),
% 8.41/5.96 inference(rewrite,[status(thm)],[])).
% 8.41/5.96 tff(10718,plain,
% 8.41/5.96 ((~![B: $i] : ((~less_3(B)) | (v124(constB9, B) <=> b101(B)))) | ((~less_3(bitIndex0)) | (v124(constB9, bitIndex0) <=> b101(bitIndex0)))),
% 8.41/5.96 inference(quant_inst,[status(thm)],[])).
% 8.41/5.96 tff(10719,plain,
% 8.41/5.97 ((~![B: $i] : ((~less_3(B)) | (v124(constB9, B) <=> b101(B)))) | (~less_3(bitIndex0)) | (v124(constB9, bitIndex0) <=> b101(bitIndex0))),
% 8.41/5.97 inference(modus_ponens,[status(thm)],[10718, 10717])).
% 8.41/5.97 tff(10720,plain,
% 8.41/5.97 (v124(constB9, bitIndex0) <=> b101(bitIndex0)),
% 8.41/5.97 inference(unit_resolution,[status(thm)],[10719, 9772, 10682])).
% 8.41/5.97 tff(10721,plain,
% 8.41/5.97 (b101(bitIndex0) <=> b101(bitIndex0)),
% 8.41/5.97 inference(rewrite,[status(thm)],[])).
% 8.41/5.97 tff(10722,axiom,(b101(bitIndex0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bitBlastConstant_15')).
% 8.41/5.97 tff(10723,plain,
% 8.41/5.97 (b101(bitIndex0)),
% 8.41/5.97 inference(modus_ponens,[status(thm)],[10722, 10721])).
% 8.41/5.97 tff(10724,plain,
% 8.41/5.97 ((~(v124(constB9, bitIndex0) <=> b101(bitIndex0))) | v124(constB9, bitIndex0) | (~b101(bitIndex0))),
% 8.41/5.97 inference(tautology,[status(thm)],[])).
% 8.41/5.97 tff(10725,plain,
% 8.41/5.97 ((~(v124(constB9, bitIndex0) <=> b101(bitIndex0))) | v124(constB9, bitIndex0)),
% 8.41/5.97 inference(unit_resolution,[status(thm)],[10724, 10723])).
% 8.41/5.97 tff(10726,plain,
% 8.41/5.97 (v124(constB9, bitIndex0)),
% 8.41/5.97 inference(unit_resolution,[status(thm)],[10725, 10720])).
% 8.41/5.97 tff(10727,plain,
% 8.41/5.97 ((~(v121(constB9, bitIndex0) <=> v124(constB9, bitIndex0))) | v121(constB9, bitIndex0) | (~v124(constB9, bitIndex0))),
% 8.41/5.97 inference(tautology,[status(thm)],[])).
% 8.41/5.97 tff(10728,plain,
% 8.41/5.97 (v121(constB9, bitIndex0)),
% 8.41/5.97 inference(unit_resolution,[status(thm)],[10727, 10726, 10716])).
% 8.41/5.97 tff(10729,plain,
% 8.41/5.97 ((~(v123(constB10, bitIndex0) <=> v121(constB9, bitIndex0))) | v123(constB10, bitIndex0) | (~v121(constB9, bitIndex0))),
% 8.41/5.97 inference(tautology,[status(thm)],[])).
% 8.41/5.97 tff(10730,plain,
% 8.41/5.97 (v123(constB10, bitIndex0)),
% 8.41/5.97 inference(unit_resolution,[status(thm)],[10729, 10728, 10712])).
% 8.41/5.97 tff(10731,plain,
% 8.41/5.97 ((~(v84(constB10, bitIndex0) <=> v123(constB10, bitIndex0))) | v84(constB10, bitIndex0) | (~v123(constB10, bitIndex0))),
% 8.41/5.97 inference(tautology,[status(thm)],[])).
% 8.41/5.97 tff(10732,plain,
% 8.41/5.97 (v84(constB10, bitIndex0)),
% 8.41/5.97 inference(unit_resolution,[status(thm)],[10731, 10730, 10708])).
% 8.41/5.97 tff(10733,plain,
% 8.41/5.97 ((~(v84(constB11, bitIndex0) <=> v84(constB10, bitIndex0))) | v84(constB11, bitIndex0) | (~v84(constB10, bitIndex0))),
% 8.41/5.97 inference(tautology,[status(thm)],[])).
% 8.41/5.97 tff(10734,plain,
% 8.41/5.97 (v84(constB11, bitIndex0)),
% 8.41/5.97 inference(unit_resolution,[status(thm)],[10733, 10732, 10704])).
% 8.41/5.97 tff(10735,plain,
% 8.41/5.97 (((~![B: $i] : ((~less_3(B)) | (v84(constB11, B) <=> v84(constB10, B)))) | ((~less_3(bitIndex1)) | (v84(constB11, bitIndex1) <=> v84(constB10, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB11, B) <=> v84(constB10, B)))) | (~less_3(bitIndex1)) | (v84(constB11, bitIndex1) <=> v84(constB10, bitIndex1)))),
% 8.41/5.97 inference(rewrite,[status(thm)],[])).
% 8.41/5.97 tff(10736,plain,
% 8.41/5.97 ((~![B: $i] : ((~less_3(B)) | (v84(constB11, B) <=> v84(constB10, B)))) | ((~less_3(bitIndex1)) | (v84(constB11, bitIndex1) <=> v84(constB10, bitIndex1)))),
% 8.41/5.97 inference(quant_inst,[status(thm)],[])).
% 8.41/5.97 tff(10737,plain,
% 8.41/5.97 ((~![B: $i] : ((~less_3(B)) | (v84(constB11, B) <=> v84(constB10, B)))) | (~less_3(bitIndex1)) | (v84(constB11, bitIndex1) <=> v84(constB10, bitIndex1))),
% 8.41/5.97 inference(modus_ponens,[status(thm)],[10736, 10735])).
% 8.41/5.97 tff(10738,plain,
% 8.41/5.97 (v84(constB11, bitIndex1) <=> v84(constB10, bitIndex1)),
% 8.41/5.97 inference(unit_resolution,[status(thm)],[10737, 9785, 9293])).
% 8.41/5.97 tff(10739,plain,
% 8.41/5.97 (((~![B: $i] : ((~less_3(B)) | (v84(constB10, B) <=> v123(constB10, B)))) | ((~less_3(bitIndex1)) | (v84(constB10, bitIndex1) <=> v123(constB10, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB10, B) <=> v123(constB10, B)))) | (~less_3(bitIndex1)) | (v84(constB10, bitIndex1) <=> v123(constB10, bitIndex1)))),
% 8.41/5.97 inference(rewrite,[status(thm)],[])).
% 8.41/5.97 tff(10740,plain,
% 8.41/5.97 ((~![B: $i] : ((~less_3(B)) | (v84(constB10, B) <=> v123(constB10, B)))) | ((~less_3(bitIndex1)) | (v84(constB10, bitIndex1) <=> v123(constB10, bitIndex1)))),
% 8.41/5.97 inference(quant_inst,[status(thm)],[])).
% 8.41/5.97 tff(10741,plain,
% 8.41/5.97 ((~![B: $i] : ((~less_3(B)) | (v84(constB10, B) <=> v123(constB10, B)))) | (~less_3(bitIndex1)) | (v84(constB10, bitIndex1) <=> v123(constB10, bitIndex1))),
% 8.41/5.97 inference(modus_ponens,[status(thm)],[10740, 10739])).
% 8.41/5.97 tff(10742,plain,
% 8.41/5.97 (v84(constB10, bitIndex1) <=> v123(constB10, bitIndex1)),
% 8.41/5.97 inference(unit_resolution,[status(thm)],[10741, 9785, 10644])).
% 8.41/5.97 tff(10743,plain,
% 8.41/5.97 (((~![B: $i] : ((~less_3(B)) | (v123(constB10, B) <=> v121(constB9, B)))) | ((~less_3(bitIndex1)) | (v123(constB10, bitIndex1) <=> v121(constB9, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB10, B) <=> v121(constB9, B)))) | (~less_3(bitIndex1)) | (v123(constB10, bitIndex1) <=> v121(constB9, bitIndex1)))),
% 8.41/5.97 inference(rewrite,[status(thm)],[])).
% 8.41/5.97 tff(10744,plain,
% 8.41/5.97 ((~![B: $i] : ((~less_3(B)) | (v123(constB10, B) <=> v121(constB9, B)))) | ((~less_3(bitIndex1)) | (v123(constB10, bitIndex1) <=> v121(constB9, bitIndex1)))),
% 8.41/5.97 inference(quant_inst,[status(thm)],[])).
% 8.41/5.97 tff(10745,plain,
% 8.41/5.97 ((~![B: $i] : ((~less_3(B)) | (v123(constB10, B) <=> v121(constB9, B)))) | (~less_3(bitIndex1)) | (v123(constB10, bitIndex1) <=> v121(constB9, bitIndex1))),
% 8.41/5.97 inference(modus_ponens,[status(thm)],[10744, 10743])).
% 8.41/5.97 tff(10746,plain,
% 8.41/5.97 (v123(constB10, bitIndex1) <=> v121(constB9, bitIndex1)),
% 8.41/5.97 inference(unit_resolution,[status(thm)],[10745, 9785, 10652])).
% 8.41/5.97 tff(10747,plain,
% 8.41/5.97 (((~![B: $i] : ((~less_3(B)) | (v121(constB9, B) <=> v124(constB9, B)))) | ((~less_3(bitIndex1)) | (v121(constB9, bitIndex1) <=> v124(constB9, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB9, B) <=> v124(constB9, B)))) | (~less_3(bitIndex1)) | (v121(constB9, bitIndex1) <=> v124(constB9, bitIndex1)))),
% 8.41/5.97 inference(rewrite,[status(thm)],[])).
% 8.41/5.97 tff(10748,plain,
% 8.41/5.97 ((~![B: $i] : ((~less_3(B)) | (v121(constB9, B) <=> v124(constB9, B)))) | ((~less_3(bitIndex1)) | (v121(constB9, bitIndex1) <=> v124(constB9, bitIndex1)))),
% 8.41/5.97 inference(quant_inst,[status(thm)],[])).
% 8.41/5.97 tff(10749,plain,
% 8.41/5.97 ((~![B: $i] : ((~less_3(B)) | (v121(constB9, B) <=> v124(constB9, B)))) | (~less_3(bitIndex1)) | (v121(constB9, bitIndex1) <=> v124(constB9, bitIndex1))),
% 8.41/5.97 inference(modus_ponens,[status(thm)],[10748, 10747])).
% 8.41/5.97 tff(10750,plain,
% 8.41/5.97 (v121(constB9, bitIndex1) <=> v124(constB9, bitIndex1)),
% 8.41/5.97 inference(unit_resolution,[status(thm)],[10749, 9785, 10660])).
% 8.41/5.97 tff(10751,plain,
% 8.41/5.97 (((~![B: $i] : ((~less_3(B)) | (v124(constB9, B) <=> b101(B)))) | ((~less_3(bitIndex1)) | (v124(constB9, bitIndex1) <=> b101(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB9, B) <=> b101(B)))) | (~less_3(bitIndex1)) | (v124(constB9, bitIndex1) <=> b101(bitIndex1)))),
% 8.41/5.97 inference(rewrite,[status(thm)],[])).
% 8.41/5.97 tff(10752,plain,
% 8.41/5.97 ((~![B: $i] : ((~less_3(B)) | (v124(constB9, B) <=> b101(B)))) | ((~less_3(bitIndex1)) | (v124(constB9, bitIndex1) <=> b101(bitIndex1)))),
% 8.41/5.97 inference(quant_inst,[status(thm)],[])).
% 8.41/5.97 tff(10753,plain,
% 8.41/5.97 ((~![B: $i] : ((~less_3(B)) | (v124(constB9, B) <=> b101(B)))) | (~less_3(bitIndex1)) | (v124(constB9, bitIndex1) <=> b101(bitIndex1))),
% 8.41/5.97 inference(modus_ponens,[status(thm)],[10752, 10751])).
% 8.41/5.97 tff(10754,plain,
% 8.41/5.97 (v124(constB9, bitIndex1) <=> b101(bitIndex1)),
% 8.41/5.97 inference(unit_resolution,[status(thm)],[10753, 9785, 10682])).
% 8.41/5.97 tff(10755,plain,
% 8.41/5.97 ((~b101(bitIndex1)) <=> (~b101(bitIndex1))),
% 8.41/5.97 inference(rewrite,[status(thm)],[])).
% 8.41/5.97 tff(10756,axiom,(~b101(bitIndex1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bitBlastConstant_16')).
% 8.41/5.97 tff(10757,plain,
% 8.41/5.97 (~b101(bitIndex1)),
% 8.41/5.97 inference(modus_ponens,[status(thm)],[10756, 10755])).
% 8.41/5.97 tff(10758,plain,
% 8.41/5.97 ((~(v124(constB9, bitIndex1) <=> b101(bitIndex1))) | (~v124(constB9, bitIndex1)) | b101(bitIndex1)),
% 8.41/5.97 inference(tautology,[status(thm)],[])).
% 8.41/5.97 tff(10759,plain,
% 8.41/5.97 ((~(v124(constB9, bitIndex1) <=> b101(bitIndex1))) | (~v124(constB9, bitIndex1))),
% 8.41/5.97 inference(unit_resolution,[status(thm)],[10758, 10757])).
% 8.41/5.97 tff(10760,plain,
% 8.41/5.97 (~v124(constB9, bitIndex1)),
% 8.41/5.97 inference(unit_resolution,[status(thm)],[10759, 10754])).
% 8.41/5.97 tff(10761,plain,
% 8.41/5.97 ((~(v121(constB9, bitIndex1) <=> v124(constB9, bitIndex1))) | (~v121(constB9, bitIndex1)) | v124(constB9, bitIndex1)),
% 8.41/5.97 inference(tautology,[status(thm)],[])).
% 8.41/5.97 tff(10762,plain,
% 8.41/5.97 (~v121(constB9, bitIndex1)),
% 8.41/5.97 inference(unit_resolution,[status(thm)],[10761, 10760, 10750])).
% 8.41/5.97 tff(10763,plain,
% 8.41/5.97 ((~(v123(constB10, bitIndex1) <=> v121(constB9, bitIndex1))) | (~v123(constB10, bitIndex1)) | v121(constB9, bitIndex1)),
% 8.41/5.97 inference(tautology,[status(thm)],[])).
% 8.41/5.97 tff(10764,plain,
% 8.41/5.97 (~v123(constB10, bitIndex1)),
% 8.41/5.97 inference(unit_resolution,[status(thm)],[10763, 10762, 10746])).
% 8.41/5.97 tff(10765,plain,
% 8.41/5.97 ((~(v84(constB10, bitIndex1) <=> v123(constB10, bitIndex1))) | (~v84(constB10, bitIndex1)) | v123(constB10, bitIndex1)),
% 8.41/5.97 inference(tautology,[status(thm)],[])).
% 8.41/5.97 tff(10766,plain,
% 8.41/5.97 (~v84(constB10, bitIndex1)),
% 8.41/5.97 inference(unit_resolution,[status(thm)],[10765, 10764, 10742])).
% 8.41/5.97 tff(10767,plain,
% 8.41/5.97 ((~(v84(constB11, bitIndex1) <=> v84(constB10, bitIndex1))) | (~v84(constB11, bitIndex1)) | v84(constB10, bitIndex1)),
% 8.41/5.97 inference(tautology,[status(thm)],[])).
% 8.41/5.97 tff(10768,plain,
% 8.41/5.97 (~v84(constB11, bitIndex1)),
% 8.41/5.97 inference(unit_resolution,[status(thm)],[10767, 10766, 10738])).
% 8.41/5.97 tff(10769,plain,
% 8.41/5.97 ((~((~v84(constB11, bitIndex2)) | v84(constB11, bitIndex1) | (~v84(constB11, bitIndex0)))) | (~v84(constB11, bitIndex2)) | v84(constB11, bitIndex1) | (~v84(constB11, bitIndex0))),
% 8.41/5.97 inference(tautology,[status(thm)],[])).
% 8.41/5.97 tff(10770,plain,
% 8.41/5.97 (~((~v84(constB11, bitIndex2)) | v84(constB11, bitIndex1) | (~v84(constB11, bitIndex0)))),
% 8.41/5.97 inference(unit_resolution,[status(thm)],[10769, 10768, 10734, 10700])).
% 8.41/5.97 tff(10771,plain,
% 8.41/5.97 ((~(v118(constB11) <=> (~((~v84(constB11, bitIndex2)) | v84(constB11, bitIndex1) | (~v84(constB11, bitIndex0)))))) | v118(constB11) | ((~v84(constB11, bitIndex2)) | v84(constB11, bitIndex1) | (~v84(constB11, bitIndex0)))),
% 8.41/5.97 inference(tautology,[status(thm)],[])).
% 8.41/5.97 tff(10772,plain,
% 8.41/5.97 (v118(constB11)),
% 8.41/5.97 inference(unit_resolution,[status(thm)],[10771, 10770, 9265])).
% 8.41/5.97 tff(10773,plain,
% 8.41/5.97 ((v109(constB11) | v118(constB11)) | (~v118(constB11))),
% 8.41/5.97 inference(tautology,[status(thm)],[])).
% 8.41/5.97 tff(10774,plain,
% 8.41/5.97 (v109(constB11) | v118(constB11)),
% 8.41/5.97 inference(unit_resolution,[status(thm)],[10773, 10772])).
% 8.41/5.97 tff(10775,plain,
% 8.41/5.97 ((~(v108(constB11) <=> (v109(constB11) | v118(constB11)))) | v108(constB11) | (~(v109(constB11) | v118(constB11)))),
% 8.41/5.97 inference(tautology,[status(thm)],[])).
% 8.41/5.97 tff(10776,plain,
% 8.41/5.97 (v108(constB11)),
% 8.41/5.97 inference(unit_resolution,[status(thm)],[10775, 10774, 9258])).
% 8.41/5.97 tff(10777,plain,
% 8.41/5.97 ((v108(constB11) | v119(constB11)) | (~v108(constB11))),
% 8.41/5.97 inference(tautology,[status(thm)],[])).
% 8.41/5.97 tff(10778,plain,
% 8.41/5.97 (v108(constB11) | v119(constB11)),
% 8.41/5.97 inference(unit_resolution,[status(thm)],[10777, 10776])).
% 8.41/5.97 tff(10779,plain,
% 8.41/5.97 ((~(v107(constB11) <=> (v108(constB11) | v119(constB11)))) | v107(constB11) | (~(v108(constB11) | v119(constB11)))),
% 8.41/5.97 inference(tautology,[status(thm)],[])).
% 8.41/5.97 tff(10780,plain,
% 8.41/5.97 (v107(constB11)),
% 8.41/5.97 inference(unit_resolution,[status(thm)],[10779, 10778, 9256])).
% 8.41/5.97 tff(10781,plain,
% 8.41/5.97 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB11)) <=> v105(constB11))),
% 8.41/5.97 inference(quant_inst,[status(thm)],[])).
% 8.41/5.97 tff(10782,plain,
% 8.41/5.97 ((~v120(constB11)) <=> v105(constB11)),
% 8.41/5.97 inference(unit_resolution,[status(thm)],[10781, 9842])).
% 8.41/5.97 tff(10783,plain,
% 8.41/5.97 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB11) <=> v26(constB11))),
% 8.41/5.97 inference(quant_inst,[status(thm)],[])).
% 8.41/5.97 tff(10784,plain,
% 8.41/5.97 (v105(constB11) <=> v26(constB11)),
% 8.41/5.97 inference(unit_resolution,[status(thm)],[10783, 9854])).
% 8.41/5.97 tff(10785,plain,
% 8.41/5.97 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB11))),
% 8.41/5.97 inference(quant_inst,[status(thm)],[])).
% 8.41/5.97 tff(10786,plain,
% 8.41/5.97 (~v26(constB11)),
% 8.41/5.97 inference(unit_resolution,[status(thm)],[10785, 9866])).
% 8.41/5.97 tff(10787,plain,
% 8.41/5.97 ((~(v105(constB11) <=> v26(constB11))) | (~v105(constB11)) | v26(constB11)),
% 8.41/5.97 inference(tautology,[status(thm)],[])).
% 8.41/5.97 tff(10788,plain,
% 8.41/5.97 ((~(v105(constB11) <=> v26(constB11))) | (~v105(constB11))),
% 8.41/5.97 inference(unit_resolution,[status(thm)],[10787, 10786])).
% 8.41/5.97 tff(10789,plain,
% 8.41/5.97 (~v105(constB11)),
% 8.41/5.97 inference(unit_resolution,[status(thm)],[10788, 10784])).
% 8.41/5.97 tff(10790,plain,
% 8.41/5.97 ((~((~v120(constB11)) <=> v105(constB11))) | v120(constB11) | v105(constB11)),
% 8.41/5.97 inference(tautology,[status(thm)],[])).
% 8.41/5.97 tff(10791,plain,
% 8.41/5.97 ((~((~v120(constB11)) <=> v105(constB11))) | v120(constB11)),
% 8.41/5.97 inference(unit_resolution,[status(thm)],[10790, 10789])).
% 8.41/5.97 tff(10792,plain,
% 8.41/5.97 (v120(constB11)),
% 8.41/5.97 inference(unit_resolution,[status(thm)],[10791, 10782])).
% 8.41/5.97 tff(10793,plain,
% 8.41/5.97 ((~((~v107(constB11)) | (~v120(constB11)))) | (~v107(constB11)) | (~v120(constB11))),
% 8.41/5.97 inference(tautology,[status(thm)],[])).
% 8.41/5.97 tff(10794,plain,
% 8.41/5.97 ((~((~v107(constB11)) | (~v120(constB11)))) | (~v107(constB11))),
% 8.41/5.97 inference(unit_resolution,[status(thm)],[10793, 10792])).
% 8.41/5.97 tff(10795,plain,
% 8.41/5.97 (~((~v107(constB11)) | (~v120(constB11)))),
% 8.41/5.97 inference(unit_resolution,[status(thm)],[10794, 10780])).
% 8.41/5.97 tff(10796,plain,
% 8.41/5.97 ((~(v106(constB11) <=> (~((~v107(constB11)) | (~v120(constB11)))))) | v106(constB11) | ((~v107(constB11)) | (~v120(constB11)))),
% 8.41/5.97 inference(tautology,[status(thm)],[])).
% 8.41/5.97 tff(10797,plain,
% 8.41/5.97 (v106(constB11)),
% 8.41/5.97 inference(unit_resolution,[status(thm)],[10796, 10795, 9254])).
% 8.41/5.97 tff(10798,plain,
% 8.41/5.97 ((v105(constB11) | v106(constB11)) | (~v106(constB11))),
% 8.41/5.97 inference(tautology,[status(thm)],[])).
% 8.41/5.97 tff(10799,plain,
% 8.41/5.97 (v105(constB11) | v106(constB11)),
% 8.41/5.97 inference(unit_resolution,[status(thm)],[10798, 10797])).
% 8.41/5.97 tff(10800,plain,
% 8.41/5.97 ((~(v102(constB11) <=> (v105(constB11) | v106(constB11)))) | v102(constB11) | (~(v105(constB11) | v106(constB11)))),
% 8.41/5.97 inference(tautology,[status(thm)],[])).
% 8.41/5.97 tff(10801,plain,
% 8.41/5.97 (v102(constB11)),
% 8.41/5.97 inference(unit_resolution,[status(thm)],[10800, 10799, 9252])).
% 8.41/5.97 tff(10802,plain,
% 8.41/5.97 ((~(v104(constB12) <=> v102(constB11))) | v104(constB12) | (~v102(constB11))),
% 8.41/5.97 inference(tautology,[status(thm)],[])).
% 8.41/5.97 tff(10803,plain,
% 8.41/5.97 (v104(constB12)),
% 8.41/5.97 inference(unit_resolution,[status(thm)],[10802, 10801, 9250])).
% 8.41/5.97 tff(10804,plain,
% 8.41/5.97 ((~((~v104(constB12)) | (~v95(constB12)))) | (~v104(constB12)) | (~v95(constB12))),
% 8.41/5.97 inference(tautology,[status(thm)],[])).
% 8.41/5.97 tff(10805,plain,
% 8.41/5.97 (~((~v104(constB12)) | (~v95(constB12)))),
% 8.41/5.97 inference(unit_resolution,[status(thm)],[10804, 10803, 9246])).
% 8.41/5.97 tff(10806,plain,
% 8.41/5.97 ((~(v94(constB12) <=> (~((~v104(constB12)) | (~v95(constB12)))))) | v94(constB12) | ((~v104(constB12)) | (~v95(constB12)))),
% 8.41/5.97 inference(tautology,[status(thm)],[])).
% 8.41/5.97 tff(10807,plain,
% 8.41/5.97 (v94(constB12)),
% 8.41/5.97 inference(unit_resolution,[status(thm)],[10806, 10805, 9215])).
% 8.41/5.97 tff(10808,plain,
% 8.41/5.97 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB12)) | ![B: $i] : ((~less_3(B)) | (v84(constB12, B) <=> v123(constB12, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB12)) | ![B: $i] : ((~less_3(B)) | (v84(constB12, B) <=> v123(constB12, B))))),
% 8.41/5.97 inference(rewrite,[status(thm)],[])).
% 8.41/5.97 tff(10809,plain,
% 8.41/5.97 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB12)) | ![B: $i] : ((~less_3(B)) | (v84(constB12, B) <=> v123(constB12, B))))),
% 8.41/5.97 inference(quant_inst,[status(thm)],[])).
% 8.41/5.97 tff(10810,plain,
% 8.41/5.97 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB12)) | ![B: $i] : ((~less_3(B)) | (v84(constB12, B) <=> v123(constB12, B)))),
% 8.41/5.97 inference(modus_ponens,[status(thm)],[10809, 10808])).
% 8.41/5.97 tff(10811,plain,
% 8.41/5.97 ((~v94(constB12)) | ![B: $i] : ((~less_3(B)) | (v84(constB12, B) <=> v123(constB12, B)))),
% 8.41/5.97 inference(unit_resolution,[status(thm)],[10810, 9902])).
% 8.41/5.97 tff(10812,plain,
% 8.41/5.97 (![B: $i] : ((~less_3(B)) | (v84(constB12, B) <=> v123(constB12, B)))),
% 8.41/5.97 inference(unit_resolution,[status(thm)],[10811, 10807])).
% 8.41/5.97 tff(10813,plain,
% 8.41/5.97 (((~![B: $i] : ((~less_3(B)) | (v84(constB12, B) <=> v123(constB12, B)))) | ((~less_3(bitIndex2)) | (v84(constB12, bitIndex2) <=> v123(constB12, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB12, B) <=> v123(constB12, B)))) | (~less_3(bitIndex2)) | (v84(constB12, bitIndex2) <=> v123(constB12, bitIndex2)))),
% 8.41/5.97 inference(rewrite,[status(thm)],[])).
% 8.41/5.97 tff(10814,plain,
% 8.41/5.97 ((~![B: $i] : ((~less_3(B)) | (v84(constB12, B) <=> v123(constB12, B)))) | ((~less_3(bitIndex2)) | (v84(constB12, bitIndex2) <=> v123(constB12, bitIndex2)))),
% 8.41/5.97 inference(quant_inst,[status(thm)],[])).
% 8.41/5.97 tff(10815,plain,
% 8.41/5.97 ((~![B: $i] : ((~less_3(B)) | (v84(constB12, B) <=> v123(constB12, B)))) | (~less_3(bitIndex2)) | (v84(constB12, bitIndex2) <=> v123(constB12, bitIndex2))),
% 8.41/5.97 inference(modus_ponens,[status(thm)],[10814, 10813])).
% 8.41/5.97 tff(10816,plain,
% 8.41/5.97 (v84(constB12, bitIndex2) <=> v123(constB12, bitIndex2)),
% 8.41/5.97 inference(unit_resolution,[status(thm)],[10815, 832, 10812])).
% 8.41/5.97 tff(10817,plain,
% 8.41/5.97 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB11, constB12)) | ![B: $i] : ((~less_3(B)) | (v123(constB12, B) <=> v121(constB11, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB11, constB12)) | ![B: $i] : ((~less_3(B)) | (v123(constB12, B) <=> v121(constB11, B))))),
% 8.41/5.97 inference(rewrite,[status(thm)],[])).
% 8.41/5.97 tff(10818,plain,
% 8.41/5.97 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB11, constB12)) | ![B: $i] : ((~less_3(B)) | (v123(constB12, B) <=> v121(constB11, B))))),
% 8.41/5.97 inference(quant_inst,[status(thm)],[])).
% 8.41/5.97 tff(10819,plain,
% 8.41/5.97 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB11, constB12)) | ![B: $i] : ((~less_3(B)) | (v123(constB12, B) <=> v121(constB11, B)))),
% 8.41/5.97 inference(modus_ponens,[status(thm)],[10818, 10817])).
% 8.41/5.97 tff(10820,plain,
% 8.41/5.97 (![B: $i] : ((~less_3(B)) | (v123(constB12, B) <=> v121(constB11, B)))),
% 8.41/5.97 inference(unit_resolution,[status(thm)],[10819, 9211, 9924])).
% 8.41/5.97 tff(10821,plain,
% 8.41/5.97 (((~![B: $i] : ((~less_3(B)) | (v123(constB12, B) <=> v121(constB11, B)))) | ((~less_3(bitIndex2)) | (v123(constB12, bitIndex2) <=> v121(constB11, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB12, B) <=> v121(constB11, B)))) | (~less_3(bitIndex2)) | (v123(constB12, bitIndex2) <=> v121(constB11, bitIndex2)))),
% 8.41/5.97 inference(rewrite,[status(thm)],[])).
% 8.41/5.97 tff(10822,plain,
% 8.41/5.97 ((~![B: $i] : ((~less_3(B)) | (v123(constB12, B) <=> v121(constB11, B)))) | ((~less_3(bitIndex2)) | (v123(constB12, bitIndex2) <=> v121(constB11, bitIndex2)))),
% 8.41/5.97 inference(quant_inst,[status(thm)],[])).
% 8.41/5.97 tff(10823,plain,
% 8.41/5.97 ((~![B: $i] : ((~less_3(B)) | (v123(constB12, B) <=> v121(constB11, B)))) | (~less_3(bitIndex2)) | (v123(constB12, bitIndex2) <=> v121(constB11, bitIndex2))),
% 8.41/5.97 inference(modus_ponens,[status(thm)],[10822, 10821])).
% 8.41/5.97 tff(10824,plain,
% 8.41/5.97 (v123(constB12, bitIndex2) <=> v121(constB11, bitIndex2)),
% 8.41/5.97 inference(unit_resolution,[status(thm)],[10823, 832, 10820])).
% 8.41/5.97 tff(10825,plain,
% 8.41/5.97 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB11) | ![B: $i] : ((~less_3(B)) | (v121(constB11, B) <=> v124(constB11, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB11) | ![B: $i] : ((~less_3(B)) | (v121(constB11, B) <=> v124(constB11, B))))),
% 8.41/5.97 inference(rewrite,[status(thm)],[])).
% 8.41/5.97 tff(10826,plain,
% 8.41/5.97 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB11) | ![B: $i] : ((~less_3(B)) | (v121(constB11, B) <=> v124(constB11, B))))),
% 8.41/5.97 inference(quant_inst,[status(thm)],[])).
% 8.41/5.97 tff(10827,plain,
% 8.41/5.97 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB11) | ![B: $i] : ((~less_3(B)) | (v121(constB11, B) <=> v124(constB11, B)))),
% 8.41/5.97 inference(modus_ponens,[status(thm)],[10826, 10825])).
% 8.41/5.97 tff(10828,plain,
% 8.41/5.97 (![B: $i] : ((~less_3(B)) | (v121(constB11, B) <=> v124(constB11, B)))),
% 8.41/5.97 inference(unit_resolution,[status(thm)],[10827, 9945, 10789])).
% 8.41/5.97 tff(10829,plain,
% 8.41/5.97 (((~![B: $i] : ((~less_3(B)) | (v121(constB11, B) <=> v124(constB11, B)))) | ((~less_3(bitIndex2)) | (v121(constB11, bitIndex2) <=> v124(constB11, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB11, B) <=> v124(constB11, B)))) | (~less_3(bitIndex2)) | (v121(constB11, bitIndex2) <=> v124(constB11, bitIndex2)))),
% 8.41/5.97 inference(rewrite,[status(thm)],[])).
% 8.41/5.97 tff(10830,plain,
% 8.41/5.97 ((~![B: $i] : ((~less_3(B)) | (v121(constB11, B) <=> v124(constB11, B)))) | ((~less_3(bitIndex2)) | (v121(constB11, bitIndex2) <=> v124(constB11, bitIndex2)))),
% 8.41/5.97 inference(quant_inst,[status(thm)],[])).
% 8.41/5.97 tff(10831,plain,
% 8.41/5.97 ((~![B: $i] : ((~less_3(B)) | (v121(constB11, B) <=> v124(constB11, B)))) | (~less_3(bitIndex2)) | (v121(constB11, bitIndex2) <=> v124(constB11, bitIndex2))),
% 8.41/5.97 inference(modus_ponens,[status(thm)],[10830, 10829])).
% 8.41/5.97 tff(10832,plain,
% 8.41/5.97 (v121(constB11, bitIndex2) <=> v124(constB11, bitIndex2)),
% 8.41/5.97 inference(unit_resolution,[status(thm)],[10831, 832, 10828])).
% 8.41/5.97 tff(10833,plain,
% 8.41/5.97 (^[VarCurr: $i] : refl(((~v118(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b110(B)))) <=> ((~v118(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b110(B)))))),
% 8.41/5.97 inference(bind,[status(th)],[])).
% 8.41/5.97 tff(10834,plain,
% 8.41/5.97 (![VarCurr: $i] : ((~v118(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b110(B)))) <=> ![VarCurr: $i] : ((~v118(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b110(B))))),
% 8.41/5.97 inference(quant_intro,[status(thm)],[10833])).
% 8.41/5.97 tff(10835,plain,
% 8.41/5.97 (^[VarCurr: $i] : rewrite(((~v118(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b110(B)))) <=> ((~v118(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b110(B)))))),
% 8.41/5.97 inference(bind,[status(th)],[])).
% 8.41/5.97 tff(10836,plain,
% 8.41/5.97 (![VarCurr: $i] : ((~v118(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b110(B)))) <=> ![VarCurr: $i] : ((~v118(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b110(B))))),
% 8.41/5.97 inference(quant_intro,[status(thm)],[10835])).
% 8.41/5.97 tff(10837,plain,
% 8.41/5.97 (![VarCurr: $i] : ((~v118(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b110(B)))) <=> ![VarCurr: $i] : ((~v118(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b110(B))))),
% 8.41/5.97 inference(transitivity,[status(thm)],[10836, 10834])).
% 8.41/5.97 tff(10838,plain,
% 8.41/5.97 (![VarCurr: $i] : ((~v118(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b110(B)))) <=> ![VarCurr: $i] : ((~v118(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b110(B))))),
% 8.41/5.97 inference(rewrite,[status(thm)],[])).
% 8.41/5.97 tff(10839,plain,
% 8.41/5.97 (^[VarCurr: $i] : trans(monotonicity(quant_intro(proof_bind(^[B: $i] : rewrite((less_3(B) => (v124(VarCurr, B) <=> b110(B))) <=> ((~less_3(B)) | (v124(VarCurr, B) <=> b110(B))))), (![B: $i] : (less_3(B) => (v124(VarCurr, B) <=> b110(B))) <=> ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b110(B))))), ((v118(VarCurr) => ![B: $i] : (less_3(B) => (v124(VarCurr, B) <=> b110(B)))) <=> (v118(VarCurr) => ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b110(B)))))), rewrite((v118(VarCurr) => ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b110(B)))) <=> ((~v118(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b110(B))))), ((v118(VarCurr) => ![B: $i] : (less_3(B) => (v124(VarCurr, B) <=> b110(B)))) <=> ((~v118(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b110(B))))))),
% 8.41/5.97 inference(bind,[status(th)],[])).
% 8.41/5.97 tff(10840,plain,
% 8.41/5.97 (![VarCurr: $i] : (v118(VarCurr) => ![B: $i] : (less_3(B) => (v124(VarCurr, B) <=> b110(B)))) <=> ![VarCurr: $i] : ((~v118(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b110(B))))),
% 8.41/5.97 inference(quant_intro,[status(thm)],[10839])).
% 8.41/5.97 tff(10841,axiom,(![VarCurr: $i] : (v118(VarCurr) => ![B: $i] : (less_3(B) => (v124(VarCurr, B) <=> b110(B))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges5')).
% 8.41/5.97 tff(10842,plain,
% 8.41/5.97 (![VarCurr: $i] : ((~v118(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b110(B))))),
% 8.41/5.97 inference(modus_ponens,[status(thm)],[10841, 10840])).
% 8.41/5.97 tff(10843,plain,
% 8.41/5.97 (![VarCurr: $i] : ((~v118(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b110(B))))),
% 8.41/5.97 inference(modus_ponens,[status(thm)],[10842, 10838])).
% 8.41/5.97 tff(10844,plain,(
% 8.41/5.97 ![VarCurr: $i] : ((~v118(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b110(B))))),
% 8.41/5.97 inference(skolemize,[status(sab)],[10843])).
% 8.41/5.97 tff(10845,plain,
% 8.41/5.97 (![VarCurr: $i] : ((~v118(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b110(B))))),
% 8.41/5.97 inference(modus_ponens,[status(thm)],[10844, 10837])).
% 8.41/5.97 tff(10846,plain,
% 8.41/5.97 (((~![VarCurr: $i] : ((~v118(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b110(B))))) | ((~v118(constB11)) | ![B: $i] : ((~less_3(B)) | (v124(constB11, B) <=> b110(B))))) <=> ((~![VarCurr: $i] : ((~v118(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b110(B))))) | (~v118(constB11)) | ![B: $i] : ((~less_3(B)) | (v124(constB11, B) <=> b110(B))))),
% 8.41/5.97 inference(rewrite,[status(thm)],[])).
% 8.41/5.97 tff(10847,plain,
% 8.41/5.97 ((~![VarCurr: $i] : ((~v118(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b110(B))))) | ((~v118(constB11)) | ![B: $i] : ((~less_3(B)) | (v124(constB11, B) <=> b110(B))))),
% 8.41/5.97 inference(quant_inst,[status(thm)],[])).
% 8.41/5.97 tff(10848,plain,
% 8.41/5.97 ((~![VarCurr: $i] : ((~v118(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b110(B))))) | (~v118(constB11)) | ![B: $i] : ((~less_3(B)) | (v124(constB11, B) <=> b110(B)))),
% 8.41/5.97 inference(modus_ponens,[status(thm)],[10847, 10846])).
% 8.41/5.97 tff(10849,plain,
% 8.41/5.97 ((~v118(constB11)) | ![B: $i] : ((~less_3(B)) | (v124(constB11, B) <=> b110(B)))),
% 8.41/5.97 inference(unit_resolution,[status(thm)],[10848, 10845])).
% 8.41/5.97 tff(10850,plain,
% 8.41/5.97 (![B: $i] : ((~less_3(B)) | (v124(constB11, B) <=> b110(B)))),
% 8.41/5.97 inference(unit_resolution,[status(thm)],[10849, 10772])).
% 8.41/5.97 tff(10851,plain,
% 8.41/5.97 (((~![B: $i] : ((~less_3(B)) | (v124(constB11, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v124(constB11, bitIndex2) <=> b110(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB11, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v124(constB11, bitIndex2) <=> b110(bitIndex2)))),
% 8.41/5.97 inference(rewrite,[status(thm)],[])).
% 8.41/5.97 tff(10852,plain,
% 8.41/5.97 ((~![B: $i] : ((~less_3(B)) | (v124(constB11, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v124(constB11, bitIndex2) <=> b110(bitIndex2)))),
% 8.41/5.97 inference(quant_inst,[status(thm)],[])).
% 8.41/5.97 tff(10853,plain,
% 8.41/5.97 ((~![B: $i] : ((~less_3(B)) | (v124(constB11, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v124(constB11, bitIndex2) <=> b110(bitIndex2))),
% 8.41/5.97 inference(modus_ponens,[status(thm)],[10852, 10851])).
% 8.41/5.97 tff(10854,plain,
% 8.41/5.97 (v124(constB11, bitIndex2) <=> b110(bitIndex2)),
% 8.41/5.97 inference(unit_resolution,[status(thm)],[10853, 832, 10850])).
% 8.41/5.97 tff(10855,plain,
% 8.41/5.97 (b110(bitIndex2) <=> b110(bitIndex2)),
% 8.41/5.97 inference(rewrite,[status(thm)],[])).
% 8.41/5.97 tff(10856,axiom,(b110(bitIndex2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bitBlastConstant_20')).
% 8.41/5.97 tff(10857,plain,
% 8.41/5.97 (b110(bitIndex2)),
% 8.41/5.97 inference(modus_ponens,[status(thm)],[10856, 10855])).
% 8.41/5.97 tff(10858,plain,
% 8.41/5.97 ((~(v124(constB11, bitIndex2) <=> b110(bitIndex2))) | v124(constB11, bitIndex2) | (~b110(bitIndex2))),
% 8.41/5.97 inference(tautology,[status(thm)],[])).
% 8.41/5.97 tff(10859,plain,
% 8.41/5.97 ((~(v124(constB11, bitIndex2) <=> b110(bitIndex2))) | v124(constB11, bitIndex2)),
% 8.41/5.97 inference(unit_resolution,[status(thm)],[10858, 10857])).
% 8.41/5.97 tff(10860,plain,
% 8.41/5.97 (v124(constB11, bitIndex2)),
% 8.41/5.97 inference(unit_resolution,[status(thm)],[10859, 10854])).
% 8.41/5.97 tff(10861,plain,
% 8.41/5.97 ((~(v121(constB11, bitIndex2) <=> v124(constB11, bitIndex2))) | v121(constB11, bitIndex2) | (~v124(constB11, bitIndex2))),
% 8.41/5.97 inference(tautology,[status(thm)],[])).
% 8.41/5.97 tff(10862,plain,
% 8.41/5.97 (v121(constB11, bitIndex2)),
% 8.41/5.97 inference(unit_resolution,[status(thm)],[10861, 10860, 10832])).
% 8.41/5.97 tff(10863,plain,
% 8.41/5.97 ((~(v123(constB12, bitIndex2) <=> v121(constB11, bitIndex2))) | v123(constB12, bitIndex2) | (~v121(constB11, bitIndex2))),
% 8.41/5.97 inference(tautology,[status(thm)],[])).
% 8.41/5.97 tff(10864,plain,
% 8.41/5.97 (v123(constB12, bitIndex2)),
% 8.41/5.97 inference(unit_resolution,[status(thm)],[10863, 10862, 10824])).
% 8.41/5.97 tff(10865,plain,
% 8.41/5.97 ((~(v84(constB12, bitIndex2) <=> v123(constB12, bitIndex2))) | v84(constB12, bitIndex2) | (~v123(constB12, bitIndex2))),
% 8.41/5.97 inference(tautology,[status(thm)],[])).
% 8.41/5.97 tff(10866,plain,
% 8.41/5.97 (v84(constB12, bitIndex2)),
% 8.41/5.97 inference(unit_resolution,[status(thm)],[10865, 10864, 10816])).
% 8.41/5.97 tff(10867,plain,
% 8.41/5.97 ((~(v84(constB13, bitIndex2) <=> v84(constB12, bitIndex2))) | v84(constB13, bitIndex2) | (~v84(constB12, bitIndex2))),
% 8.41/5.97 inference(tautology,[status(thm)],[])).
% 8.41/5.97 tff(10868,plain,
% 8.41/5.97 (v84(constB13, bitIndex2)),
% 8.41/5.97 inference(unit_resolution,[status(thm)],[10867, 10866, 9208])).
% 8.41/5.97 tff(10869,plain,
% 8.41/5.97 (((~![B: $i] : ((~less_3(B)) | (v84(constB13, B) <=> v84(constB12, B)))) | ((~less_3(bitIndex0)) | (v84(constB13, bitIndex0) <=> v84(constB12, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB13, B) <=> v84(constB12, B)))) | (~less_3(bitIndex0)) | (v84(constB13, bitIndex0) <=> v84(constB12, bitIndex0)))),
% 8.41/5.97 inference(rewrite,[status(thm)],[])).
% 8.41/5.97 tff(10870,plain,
% 8.41/5.97 ((~![B: $i] : ((~less_3(B)) | (v84(constB13, B) <=> v84(constB12, B)))) | ((~less_3(bitIndex0)) | (v84(constB13, bitIndex0) <=> v84(constB12, bitIndex0)))),
% 8.41/5.97 inference(quant_inst,[status(thm)],[])).
% 8.41/5.97 tff(10871,plain,
% 8.41/5.97 ((~![B: $i] : ((~less_3(B)) | (v84(constB13, B) <=> v84(constB12, B)))) | (~less_3(bitIndex0)) | (v84(constB13, bitIndex0) <=> v84(constB12, bitIndex0))),
% 8.41/5.97 inference(modus_ponens,[status(thm)],[10870, 10869])).
% 8.41/5.97 tff(10872,plain,
% 8.41/5.97 (v84(constB13, bitIndex0) <=> v84(constB12, bitIndex0)),
% 8.41/5.97 inference(unit_resolution,[status(thm)],[10871, 9772, 9204])).
% 8.41/5.97 tff(10873,plain,
% 8.41/5.97 (((~![B: $i] : ((~less_3(B)) | (v84(constB12, B) <=> v123(constB12, B)))) | ((~less_3(bitIndex0)) | (v84(constB12, bitIndex0) <=> v123(constB12, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB12, B) <=> v123(constB12, B)))) | (~less_3(bitIndex0)) | (v84(constB12, bitIndex0) <=> v123(constB12, bitIndex0)))),
% 8.41/5.97 inference(rewrite,[status(thm)],[])).
% 8.41/5.97 tff(10874,plain,
% 8.41/5.97 ((~![B: $i] : ((~less_3(B)) | (v84(constB12, B) <=> v123(constB12, B)))) | ((~less_3(bitIndex0)) | (v84(constB12, bitIndex0) <=> v123(constB12, bitIndex0)))),
% 8.41/5.97 inference(quant_inst,[status(thm)],[])).
% 8.41/5.97 tff(10875,plain,
% 8.41/5.97 ((~![B: $i] : ((~less_3(B)) | (v84(constB12, B) <=> v123(constB12, B)))) | (~less_3(bitIndex0)) | (v84(constB12, bitIndex0) <=> v123(constB12, bitIndex0))),
% 8.41/5.97 inference(modus_ponens,[status(thm)],[10874, 10873])).
% 8.41/5.97 tff(10876,plain,
% 8.41/5.97 (v84(constB12, bitIndex0) <=> v123(constB12, bitIndex0)),
% 8.41/5.97 inference(unit_resolution,[status(thm)],[10875, 9772, 10812])).
% 8.41/5.97 tff(10877,plain,
% 8.41/5.97 (((~![B: $i] : ((~less_3(B)) | (v123(constB12, B) <=> v121(constB11, B)))) | ((~less_3(bitIndex0)) | (v123(constB12, bitIndex0) <=> v121(constB11, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB12, B) <=> v121(constB11, B)))) | (~less_3(bitIndex0)) | (v123(constB12, bitIndex0) <=> v121(constB11, bitIndex0)))),
% 8.41/5.97 inference(rewrite,[status(thm)],[])).
% 8.41/5.97 tff(10878,plain,
% 8.41/5.97 ((~![B: $i] : ((~less_3(B)) | (v123(constB12, B) <=> v121(constB11, B)))) | ((~less_3(bitIndex0)) | (v123(constB12, bitIndex0) <=> v121(constB11, bitIndex0)))),
% 8.41/5.97 inference(quant_inst,[status(thm)],[])).
% 8.41/5.97 tff(10879,plain,
% 8.41/5.97 ((~![B: $i] : ((~less_3(B)) | (v123(constB12, B) <=> v121(constB11, B)))) | (~less_3(bitIndex0)) | (v123(constB12, bitIndex0) <=> v121(constB11, bitIndex0))),
% 8.41/5.97 inference(modus_ponens,[status(thm)],[10878, 10877])).
% 8.41/5.97 tff(10880,plain,
% 8.41/5.97 (v123(constB12, bitIndex0) <=> v121(constB11, bitIndex0)),
% 8.41/5.97 inference(unit_resolution,[status(thm)],[10879, 9772, 10820])).
% 8.41/5.97 tff(10881,plain,
% 8.41/5.97 (((~![B: $i] : ((~less_3(B)) | (v121(constB11, B) <=> v124(constB11, B)))) | ((~less_3(bitIndex0)) | (v121(constB11, bitIndex0) <=> v124(constB11, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB11, B) <=> v124(constB11, B)))) | (~less_3(bitIndex0)) | (v121(constB11, bitIndex0) <=> v124(constB11, bitIndex0)))),
% 8.41/5.97 inference(rewrite,[status(thm)],[])).
% 8.41/5.97 tff(10882,plain,
% 8.41/5.97 ((~![B: $i] : ((~less_3(B)) | (v121(constB11, B) <=> v124(constB11, B)))) | ((~less_3(bitIndex0)) | (v121(constB11, bitIndex0) <=> v124(constB11, bitIndex0)))),
% 8.41/5.97 inference(quant_inst,[status(thm)],[])).
% 8.41/5.97 tff(10883,plain,
% 8.41/5.97 ((~![B: $i] : ((~less_3(B)) | (v121(constB11, B) <=> v124(constB11, B)))) | (~less_3(bitIndex0)) | (v121(constB11, bitIndex0) <=> v124(constB11, bitIndex0))),
% 8.41/5.97 inference(modus_ponens,[status(thm)],[10882, 10881])).
% 8.41/5.97 tff(10884,plain,
% 8.41/5.97 (v121(constB11, bitIndex0) <=> v124(constB11, bitIndex0)),
% 8.41/5.97 inference(unit_resolution,[status(thm)],[10883, 9772, 10828])).
% 8.41/5.97 tff(10885,plain,
% 8.41/5.97 (((~![B: $i] : ((~less_3(B)) | (v124(constB11, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v124(constB11, bitIndex0) <=> b110(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB11, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v124(constB11, bitIndex0) <=> b110(bitIndex0)))),
% 8.41/5.97 inference(rewrite,[status(thm)],[])).
% 8.41/5.97 tff(10886,plain,
% 8.41/5.97 ((~![B: $i] : ((~less_3(B)) | (v124(constB11, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v124(constB11, bitIndex0) <=> b110(bitIndex0)))),
% 8.41/5.97 inference(quant_inst,[status(thm)],[])).
% 8.41/5.97 tff(10887,plain,
% 8.41/5.97 ((~![B: $i] : ((~less_3(B)) | (v124(constB11, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v124(constB11, bitIndex0) <=> b110(bitIndex0))),
% 8.41/5.97 inference(modus_ponens,[status(thm)],[10886, 10885])).
% 8.41/5.97 tff(10888,plain,
% 8.41/5.97 (v124(constB11, bitIndex0) <=> b110(bitIndex0)),
% 8.41/5.97 inference(unit_resolution,[status(thm)],[10887, 9772, 10850])).
% 8.41/5.97 tff(10889,plain,
% 8.41/5.97 ((~b110(bitIndex0)) <=> (~b110(bitIndex0))),
% 8.41/5.97 inference(rewrite,[status(thm)],[])).
% 8.41/5.97 tff(10890,axiom,(~b110(bitIndex0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bitBlastConstant_18')).
% 8.41/5.97 tff(10891,plain,
% 8.41/5.97 (~b110(bitIndex0)),
% 8.41/5.97 inference(modus_ponens,[status(thm)],[10890, 10889])).
% 8.41/5.97 tff(10892,plain,
% 8.41/5.97 ((~(v124(constB11, bitIndex0) <=> b110(bitIndex0))) | (~v124(constB11, bitIndex0)) | b110(bitIndex0)),
% 8.41/5.97 inference(tautology,[status(thm)],[])).
% 8.41/5.97 tff(10893,plain,
% 8.41/5.97 ((~(v124(constB11, bitIndex0) <=> b110(bitIndex0))) | (~v124(constB11, bitIndex0))),
% 8.41/5.97 inference(unit_resolution,[status(thm)],[10892, 10891])).
% 8.41/5.97 tff(10894,plain,
% 8.41/5.97 (~v124(constB11, bitIndex0)),
% 8.41/5.97 inference(unit_resolution,[status(thm)],[10893, 10888])).
% 8.41/5.97 tff(10895,plain,
% 8.41/5.97 ((~(v121(constB11, bitIndex0) <=> v124(constB11, bitIndex0))) | (~v121(constB11, bitIndex0)) | v124(constB11, bitIndex0)),
% 8.41/5.97 inference(tautology,[status(thm)],[])).
% 8.41/5.97 tff(10896,plain,
% 8.41/5.97 (~v121(constB11, bitIndex0)),
% 8.41/5.97 inference(unit_resolution,[status(thm)],[10895, 10894, 10884])).
% 8.41/5.97 tff(10897,plain,
% 8.41/5.97 ((~(v123(constB12, bitIndex0) <=> v121(constB11, bitIndex0))) | (~v123(constB12, bitIndex0)) | v121(constB11, bitIndex0)),
% 8.41/5.97 inference(tautology,[status(thm)],[])).
% 8.41/5.97 tff(10898,plain,
% 8.41/5.97 (~v123(constB12, bitIndex0)),
% 8.41/5.97 inference(unit_resolution,[status(thm)],[10897, 10896, 10880])).
% 8.41/5.97 tff(10899,plain,
% 8.41/5.97 ((~(v84(constB12, bitIndex0) <=> v123(constB12, bitIndex0))) | (~v84(constB12, bitIndex0)) | v123(constB12, bitIndex0)),
% 8.41/5.97 inference(tautology,[status(thm)],[])).
% 8.41/5.97 tff(10900,plain,
% 8.41/5.97 (~v84(constB12, bitIndex0)),
% 8.41/5.97 inference(unit_resolution,[status(thm)],[10899, 10898, 10876])).
% 8.41/5.97 tff(10901,plain,
% 8.41/5.97 ((~(v84(constB13, bitIndex0) <=> v84(constB12, bitIndex0))) | (~v84(constB13, bitIndex0)) | v84(constB12, bitIndex0)),
% 8.41/5.97 inference(tautology,[status(thm)],[])).
% 8.41/5.97 tff(10902,plain,
% 8.41/5.97 (~v84(constB13, bitIndex0)),
% 8.41/5.97 inference(unit_resolution,[status(thm)],[10901, 10900, 10872])).
% 8.41/5.97 tff(10903,plain,
% 8.41/5.97 (((~![B: $i] : ((~less_3(B)) | (v84(constB13, B) <=> v84(constB12, B)))) | ((~less_3(bitIndex1)) | (v84(constB13, bitIndex1) <=> v84(constB12, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB13, B) <=> v84(constB12, B)))) | (~less_3(bitIndex1)) | (v84(constB13, bitIndex1) <=> v84(constB12, bitIndex1)))),
% 8.41/5.97 inference(rewrite,[status(thm)],[])).
% 8.41/5.97 tff(10904,plain,
% 8.41/5.97 ((~![B: $i] : ((~less_3(B)) | (v84(constB13, B) <=> v84(constB12, B)))) | ((~less_3(bitIndex1)) | (v84(constB13, bitIndex1) <=> v84(constB12, bitIndex1)))),
% 8.41/5.97 inference(quant_inst,[status(thm)],[])).
% 8.41/5.98 tff(10905,plain,
% 8.41/5.98 ((~![B: $i] : ((~less_3(B)) | (v84(constB13, B) <=> v84(constB12, B)))) | (~less_3(bitIndex1)) | (v84(constB13, bitIndex1) <=> v84(constB12, bitIndex1))),
% 8.41/5.98 inference(modus_ponens,[status(thm)],[10904, 10903])).
% 8.41/5.98 tff(10906,plain,
% 8.41/5.98 (v84(constB13, bitIndex1) <=> v84(constB12, bitIndex1)),
% 8.41/5.98 inference(unit_resolution,[status(thm)],[10905, 9785, 9204])).
% 8.41/5.98 tff(10907,plain,
% 8.41/5.98 (((~![B: $i] : ((~less_3(B)) | (v84(constB12, B) <=> v123(constB12, B)))) | ((~less_3(bitIndex1)) | (v84(constB12, bitIndex1) <=> v123(constB12, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB12, B) <=> v123(constB12, B)))) | (~less_3(bitIndex1)) | (v84(constB12, bitIndex1) <=> v123(constB12, bitIndex1)))),
% 8.41/5.98 inference(rewrite,[status(thm)],[])).
% 8.41/5.98 tff(10908,plain,
% 8.41/5.98 ((~![B: $i] : ((~less_3(B)) | (v84(constB12, B) <=> v123(constB12, B)))) | ((~less_3(bitIndex1)) | (v84(constB12, bitIndex1) <=> v123(constB12, bitIndex1)))),
% 8.41/5.98 inference(quant_inst,[status(thm)],[])).
% 8.41/5.98 tff(10909,plain,
% 8.41/5.98 ((~![B: $i] : ((~less_3(B)) | (v84(constB12, B) <=> v123(constB12, B)))) | (~less_3(bitIndex1)) | (v84(constB12, bitIndex1) <=> v123(constB12, bitIndex1))),
% 8.41/5.98 inference(modus_ponens,[status(thm)],[10908, 10907])).
% 8.41/5.98 tff(10910,plain,
% 8.41/5.98 (v84(constB12, bitIndex1) <=> v123(constB12, bitIndex1)),
% 8.41/5.98 inference(unit_resolution,[status(thm)],[10909, 9785, 10812])).
% 8.41/5.98 tff(10911,plain,
% 8.41/5.98 (((~![B: $i] : ((~less_3(B)) | (v123(constB12, B) <=> v121(constB11, B)))) | ((~less_3(bitIndex1)) | (v123(constB12, bitIndex1) <=> v121(constB11, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB12, B) <=> v121(constB11, B)))) | (~less_3(bitIndex1)) | (v123(constB12, bitIndex1) <=> v121(constB11, bitIndex1)))),
% 8.41/5.98 inference(rewrite,[status(thm)],[])).
% 8.41/5.98 tff(10912,plain,
% 8.41/5.98 ((~![B: $i] : ((~less_3(B)) | (v123(constB12, B) <=> v121(constB11, B)))) | ((~less_3(bitIndex1)) | (v123(constB12, bitIndex1) <=> v121(constB11, bitIndex1)))),
% 8.41/5.98 inference(quant_inst,[status(thm)],[])).
% 8.41/5.98 tff(10913,plain,
% 8.41/5.98 ((~![B: $i] : ((~less_3(B)) | (v123(constB12, B) <=> v121(constB11, B)))) | (~less_3(bitIndex1)) | (v123(constB12, bitIndex1) <=> v121(constB11, bitIndex1))),
% 8.41/5.98 inference(modus_ponens,[status(thm)],[10912, 10911])).
% 8.41/5.98 tff(10914,plain,
% 8.41/5.98 (v123(constB12, bitIndex1) <=> v121(constB11, bitIndex1)),
% 8.41/5.98 inference(unit_resolution,[status(thm)],[10913, 9785, 10820])).
% 8.41/5.98 tff(10915,plain,
% 8.41/5.98 (((~![B: $i] : ((~less_3(B)) | (v121(constB11, B) <=> v124(constB11, B)))) | ((~less_3(bitIndex1)) | (v121(constB11, bitIndex1) <=> v124(constB11, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB11, B) <=> v124(constB11, B)))) | (~less_3(bitIndex1)) | (v121(constB11, bitIndex1) <=> v124(constB11, bitIndex1)))),
% 8.41/5.98 inference(rewrite,[status(thm)],[])).
% 8.41/5.98 tff(10916,plain,
% 8.41/5.98 ((~![B: $i] : ((~less_3(B)) | (v121(constB11, B) <=> v124(constB11, B)))) | ((~less_3(bitIndex1)) | (v121(constB11, bitIndex1) <=> v124(constB11, bitIndex1)))),
% 8.41/5.98 inference(quant_inst,[status(thm)],[])).
% 8.41/5.98 tff(10917,plain,
% 8.41/5.98 ((~![B: $i] : ((~less_3(B)) | (v121(constB11, B) <=> v124(constB11, B)))) | (~less_3(bitIndex1)) | (v121(constB11, bitIndex1) <=> v124(constB11, bitIndex1))),
% 8.41/5.98 inference(modus_ponens,[status(thm)],[10916, 10915])).
% 8.41/5.98 tff(10918,plain,
% 8.41/5.98 (v121(constB11, bitIndex1) <=> v124(constB11, bitIndex1)),
% 8.41/5.98 inference(unit_resolution,[status(thm)],[10917, 9785, 10828])).
% 8.41/5.98 tff(10919,plain,
% 8.41/5.98 (((~![B: $i] : ((~less_3(B)) | (v124(constB11, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v124(constB11, bitIndex1) <=> b110(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB11, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v124(constB11, bitIndex1) <=> b110(bitIndex1)))),
% 8.41/5.98 inference(rewrite,[status(thm)],[])).
% 8.41/5.98 tff(10920,plain,
% 8.41/5.98 ((~![B: $i] : ((~less_3(B)) | (v124(constB11, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v124(constB11, bitIndex1) <=> b110(bitIndex1)))),
% 8.41/5.98 inference(quant_inst,[status(thm)],[])).
% 8.41/5.98 tff(10921,plain,
% 8.41/5.98 ((~![B: $i] : ((~less_3(B)) | (v124(constB11, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v124(constB11, bitIndex1) <=> b110(bitIndex1))),
% 8.41/5.98 inference(modus_ponens,[status(thm)],[10920, 10919])).
% 8.41/5.98 tff(10922,plain,
% 8.41/5.98 (v124(constB11, bitIndex1) <=> b110(bitIndex1)),
% 8.41/5.98 inference(unit_resolution,[status(thm)],[10921, 9785, 10850])).
% 8.41/5.98 tff(10923,plain,
% 8.41/5.98 (b110(bitIndex1) <=> b110(bitIndex1)),
% 8.41/5.98 inference(rewrite,[status(thm)],[])).
% 8.41/5.98 tff(10924,axiom,(b110(bitIndex1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','bitBlastConstant_19')).
% 8.41/5.98 tff(10925,plain,
% 8.41/5.98 (b110(bitIndex1)),
% 8.41/5.98 inference(modus_ponens,[status(thm)],[10924, 10923])).
% 8.41/5.98 tff(10926,plain,
% 8.41/5.98 ((~(v124(constB11, bitIndex1) <=> b110(bitIndex1))) | v124(constB11, bitIndex1) | (~b110(bitIndex1))),
% 8.41/5.98 inference(tautology,[status(thm)],[])).
% 8.41/5.98 tff(10927,plain,
% 8.41/5.98 ((~(v124(constB11, bitIndex1) <=> b110(bitIndex1))) | v124(constB11, bitIndex1)),
% 8.41/5.98 inference(unit_resolution,[status(thm)],[10926, 10925])).
% 8.41/5.98 tff(10928,plain,
% 8.41/5.98 (v124(constB11, bitIndex1)),
% 8.41/5.98 inference(unit_resolution,[status(thm)],[10927, 10922])).
% 8.41/5.98 tff(10929,plain,
% 8.41/5.98 ((~(v121(constB11, bitIndex1) <=> v124(constB11, bitIndex1))) | v121(constB11, bitIndex1) | (~v124(constB11, bitIndex1))),
% 8.41/5.98 inference(tautology,[status(thm)],[])).
% 8.41/5.98 tff(10930,plain,
% 8.41/5.98 (v121(constB11, bitIndex1)),
% 8.41/5.98 inference(unit_resolution,[status(thm)],[10929, 10928, 10918])).
% 8.41/5.98 tff(10931,plain,
% 8.41/5.98 ((~(v123(constB12, bitIndex1) <=> v121(constB11, bitIndex1))) | v123(constB12, bitIndex1) | (~v121(constB11, bitIndex1))),
% 8.41/5.98 inference(tautology,[status(thm)],[])).
% 8.41/5.98 tff(10932,plain,
% 8.41/5.98 (v123(constB12, bitIndex1)),
% 8.41/5.98 inference(unit_resolution,[status(thm)],[10931, 10930, 10914])).
% 8.41/5.98 tff(10933,plain,
% 8.41/5.98 ((~(v84(constB12, bitIndex1) <=> v123(constB12, bitIndex1))) | v84(constB12, bitIndex1) | (~v123(constB12, bitIndex1))),
% 8.41/5.98 inference(tautology,[status(thm)],[])).
% 8.41/5.98 tff(10934,plain,
% 8.41/5.98 (v84(constB12, bitIndex1)),
% 8.41/5.98 inference(unit_resolution,[status(thm)],[10933, 10932, 10910])).
% 8.41/5.98 tff(10935,plain,
% 8.41/5.98 ((~(v84(constB13, bitIndex1) <=> v84(constB12, bitIndex1))) | v84(constB13, bitIndex1) | (~v84(constB12, bitIndex1))),
% 8.41/5.98 inference(tautology,[status(thm)],[])).
% 8.41/5.98 tff(10936,plain,
% 8.41/5.98 (v84(constB13, bitIndex1)),
% 8.41/5.98 inference(unit_resolution,[status(thm)],[10935, 10934, 10906])).
% 8.41/5.98 tff(10937,plain,
% 8.41/5.98 ((~((~v84(constB13, bitIndex2)) | (~v84(constB13, bitIndex1)) | v84(constB13, bitIndex0))) | (~v84(constB13, bitIndex2)) | (~v84(constB13, bitIndex1)) | v84(constB13, bitIndex0)),
% 8.41/5.98 inference(tautology,[status(thm)],[])).
% 8.41/5.98 tff(10938,plain,
% 8.41/5.98 (~((~v84(constB13, bitIndex2)) | (~v84(constB13, bitIndex1)) | v84(constB13, bitIndex0))),
% 8.41/5.98 inference(unit_resolution,[status(thm)],[10937, 10936, 10902, 10868])).
% 8.41/5.98 tff(10939,plain,
% 8.41/5.98 ((~(v119(constB13) <=> (~((~v84(constB13, bitIndex2)) | (~v84(constB13, bitIndex1)) | v84(constB13, bitIndex0))))) | v119(constB13) | ((~v84(constB13, bitIndex2)) | (~v84(constB13, bitIndex1)) | v84(constB13, bitIndex0))),
% 8.41/5.98 inference(tautology,[status(thm)],[])).
% 8.41/5.98 tff(10940,plain,
% 8.41/5.98 (v119(constB13)),
% 8.41/5.98 inference(unit_resolution,[status(thm)],[10939, 10938, 9176])).
% 8.41/5.98 tff(10941,plain,
% 8.41/5.98 ((v108(constB13) | v119(constB13)) | (~v119(constB13))),
% 8.41/5.98 inference(tautology,[status(thm)],[])).
% 8.41/5.98 tff(10942,plain,
% 8.41/5.98 (v108(constB13) | v119(constB13)),
% 8.41/5.98 inference(unit_resolution,[status(thm)],[10941, 10940])).
% 8.41/5.98 tff(10943,plain,
% 8.41/5.98 ((~(v107(constB13) <=> (v108(constB13) | v119(constB13)))) | v107(constB13) | (~(v108(constB13) | v119(constB13)))),
% 8.41/5.98 inference(tautology,[status(thm)],[])).
% 8.41/5.98 tff(10944,plain,
% 8.41/5.98 (v107(constB13)),
% 8.41/5.98 inference(unit_resolution,[status(thm)],[10943, 10942, 9169])).
% 8.41/5.98 tff(10945,plain,
% 8.41/5.98 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB13)) <=> v105(constB13))),
% 8.41/5.98 inference(quant_inst,[status(thm)],[])).
% 8.41/5.98 tff(10946,plain,
% 8.41/5.98 ((~v120(constB13)) <=> v105(constB13)),
% 8.41/5.98 inference(unit_resolution,[status(thm)],[10945, 9842])).
% 8.41/5.98 tff(10947,plain,
% 8.41/5.98 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB13) <=> v26(constB13))),
% 8.41/5.98 inference(quant_inst,[status(thm)],[])).
% 8.41/5.98 tff(10948,plain,
% 8.41/5.98 (v105(constB13) <=> v26(constB13)),
% 8.41/5.98 inference(unit_resolution,[status(thm)],[10947, 9854])).
% 8.41/5.98 tff(10949,plain,
% 8.41/5.98 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB13))),
% 8.41/5.98 inference(quant_inst,[status(thm)],[])).
% 8.41/5.98 tff(10950,plain,
% 8.41/5.98 (~v26(constB13)),
% 8.41/5.98 inference(unit_resolution,[status(thm)],[10949, 9866])).
% 8.41/5.98 tff(10951,plain,
% 8.41/5.98 ((~(v105(constB13) <=> v26(constB13))) | (~v105(constB13)) | v26(constB13)),
% 8.41/5.98 inference(tautology,[status(thm)],[])).
% 8.41/5.98 tff(10952,plain,
% 8.41/5.98 ((~(v105(constB13) <=> v26(constB13))) | (~v105(constB13))),
% 8.41/5.98 inference(unit_resolution,[status(thm)],[10951, 10950])).
% 8.41/5.98 tff(10953,plain,
% 8.41/5.98 (~v105(constB13)),
% 8.41/5.98 inference(unit_resolution,[status(thm)],[10952, 10948])).
% 8.41/5.98 tff(10954,plain,
% 8.41/5.98 ((~((~v120(constB13)) <=> v105(constB13))) | v120(constB13) | v105(constB13)),
% 8.41/5.98 inference(tautology,[status(thm)],[])).
% 8.41/5.98 tff(10955,plain,
% 8.41/5.98 ((~((~v120(constB13)) <=> v105(constB13))) | v120(constB13)),
% 8.41/5.98 inference(unit_resolution,[status(thm)],[10954, 10953])).
% 8.41/5.98 tff(10956,plain,
% 8.41/5.98 (v120(constB13)),
% 8.41/5.98 inference(unit_resolution,[status(thm)],[10955, 10946])).
% 8.41/5.98 tff(10957,plain,
% 8.41/5.98 ((~((~v107(constB13)) | (~v120(constB13)))) | (~v107(constB13)) | (~v120(constB13))),
% 8.41/5.98 inference(tautology,[status(thm)],[])).
% 8.41/5.98 tff(10958,plain,
% 8.41/5.98 ((~((~v107(constB13)) | (~v120(constB13)))) | (~v107(constB13))),
% 8.41/5.98 inference(unit_resolution,[status(thm)],[10957, 10956])).
% 8.41/5.98 tff(10959,plain,
% 8.41/5.98 (~((~v107(constB13)) | (~v120(constB13)))),
% 8.41/5.98 inference(unit_resolution,[status(thm)],[10958, 10944])).
% 8.41/5.98 tff(10960,plain,
% 8.41/5.98 ((~(v106(constB13) <=> (~((~v107(constB13)) | (~v120(constB13)))))) | v106(constB13) | ((~v107(constB13)) | (~v120(constB13)))),
% 8.41/5.98 inference(tautology,[status(thm)],[])).
% 8.41/5.98 tff(10961,plain,
% 8.41/5.98 (v106(constB13)),
% 8.41/5.98 inference(unit_resolution,[status(thm)],[10960, 10959, 9167])).
% 8.41/5.98 tff(10962,plain,
% 8.41/5.98 ((v105(constB13) | v106(constB13)) | (~v106(constB13))),
% 8.41/5.98 inference(tautology,[status(thm)],[])).
% 8.41/5.98 tff(10963,plain,
% 8.41/5.98 (v105(constB13) | v106(constB13)),
% 8.41/5.98 inference(unit_resolution,[status(thm)],[10962, 10961])).
% 8.41/5.98 tff(10964,plain,
% 8.41/5.98 ((~(v102(constB13) <=> (v105(constB13) | v106(constB13)))) | v102(constB13) | (~(v105(constB13) | v106(constB13)))),
% 8.41/5.98 inference(tautology,[status(thm)],[])).
% 8.41/5.98 tff(10965,plain,
% 8.41/5.98 (v102(constB13)),
% 8.41/5.98 inference(unit_resolution,[status(thm)],[10964, 10963, 9165])).
% 8.41/5.98 tff(10966,plain,
% 8.41/5.98 ((~(v104(constB14) <=> v102(constB13))) | v104(constB14) | (~v102(constB13))),
% 8.41/5.98 inference(tautology,[status(thm)],[])).
% 8.41/5.98 tff(10967,plain,
% 8.41/5.98 (v104(constB14)),
% 8.41/5.98 inference(unit_resolution,[status(thm)],[10966, 10965, 9163])).
% 8.41/5.98 tff(10968,plain,
% 8.41/5.98 ((~((~v104(constB14)) | (~v95(constB14)))) | (~v104(constB14)) | (~v95(constB14))),
% 8.41/5.98 inference(tautology,[status(thm)],[])).
% 8.41/5.98 tff(10969,plain,
% 8.41/5.98 (~((~v104(constB14)) | (~v95(constB14)))),
% 8.41/5.98 inference(unit_resolution,[status(thm)],[10968, 10967, 9159])).
% 8.41/5.98 tff(10970,plain,
% 8.41/5.98 ((~(v94(constB14) <=> (~((~v104(constB14)) | (~v95(constB14)))))) | v94(constB14) | ((~v104(constB14)) | (~v95(constB14)))),
% 8.41/5.98 inference(tautology,[status(thm)],[])).
% 8.41/5.98 tff(10971,plain,
% 8.41/5.98 (v94(constB14)),
% 8.41/5.98 inference(unit_resolution,[status(thm)],[10970, 10969, 9128])).
% 8.41/5.98 tff(10972,plain,
% 8.41/5.98 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB14)) | ![B: $i] : ((~less_3(B)) | (v84(constB14, B) <=> v123(constB14, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB14)) | ![B: $i] : ((~less_3(B)) | (v84(constB14, B) <=> v123(constB14, B))))),
% 8.41/5.98 inference(rewrite,[status(thm)],[])).
% 8.41/5.98 tff(10973,plain,
% 8.41/5.98 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB14)) | ![B: $i] : ((~less_3(B)) | (v84(constB14, B) <=> v123(constB14, B))))),
% 8.41/5.98 inference(quant_inst,[status(thm)],[])).
% 8.41/5.98 tff(10974,plain,
% 8.41/5.98 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB14)) | ![B: $i] : ((~less_3(B)) | (v84(constB14, B) <=> v123(constB14, B)))),
% 8.41/5.98 inference(modus_ponens,[status(thm)],[10973, 10972])).
% 8.41/5.98 tff(10975,plain,
% 8.41/5.98 ((~v94(constB14)) | ![B: $i] : ((~less_3(B)) | (v84(constB14, B) <=> v123(constB14, B)))),
% 8.41/5.98 inference(unit_resolution,[status(thm)],[10974, 9902])).
% 8.41/5.98 tff(10976,plain,
% 8.41/5.98 (![B: $i] : ((~less_3(B)) | (v84(constB14, B) <=> v123(constB14, B)))),
% 8.41/5.98 inference(unit_resolution,[status(thm)],[10975, 10971])).
% 8.41/5.98 tff(10977,plain,
% 8.41/5.98 (((~![B: $i] : ((~less_3(B)) | (v84(constB14, B) <=> v123(constB14, B)))) | ((~less_3(bitIndex2)) | (v84(constB14, bitIndex2) <=> v123(constB14, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB14, B) <=> v123(constB14, B)))) | (~less_3(bitIndex2)) | (v84(constB14, bitIndex2) <=> v123(constB14, bitIndex2)))),
% 8.41/5.98 inference(rewrite,[status(thm)],[])).
% 8.41/5.98 tff(10978,plain,
% 8.41/5.98 ((~![B: $i] : ((~less_3(B)) | (v84(constB14, B) <=> v123(constB14, B)))) | ((~less_3(bitIndex2)) | (v84(constB14, bitIndex2) <=> v123(constB14, bitIndex2)))),
% 8.41/5.98 inference(quant_inst,[status(thm)],[])).
% 8.41/5.98 tff(10979,plain,
% 8.41/5.98 ((~![B: $i] : ((~less_3(B)) | (v84(constB14, B) <=> v123(constB14, B)))) | (~less_3(bitIndex2)) | (v84(constB14, bitIndex2) <=> v123(constB14, bitIndex2))),
% 8.41/5.98 inference(modus_ponens,[status(thm)],[10978, 10977])).
% 8.41/5.98 tff(10980,plain,
% 8.41/5.98 (v84(constB14, bitIndex2) <=> v123(constB14, bitIndex2)),
% 8.41/5.98 inference(unit_resolution,[status(thm)],[10979, 832, 10976])).
% 8.41/5.98 tff(10981,plain,
% 8.41/5.98 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB13, constB14)) | ![B: $i] : ((~less_3(B)) | (v123(constB14, B) <=> v121(constB13, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB13, constB14)) | ![B: $i] : ((~less_3(B)) | (v123(constB14, B) <=> v121(constB13, B))))),
% 8.41/5.98 inference(rewrite,[status(thm)],[])).
% 8.41/5.98 tff(10982,plain,
% 8.41/5.98 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB13, constB14)) | ![B: $i] : ((~less_3(B)) | (v123(constB14, B) <=> v121(constB13, B))))),
% 8.41/5.98 inference(quant_inst,[status(thm)],[])).
% 8.41/5.98 tff(10983,plain,
% 8.41/5.98 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB13, constB14)) | ![B: $i] : ((~less_3(B)) | (v123(constB14, B) <=> v121(constB13, B)))),
% 8.41/5.98 inference(modus_ponens,[status(thm)],[10982, 10981])).
% 8.41/5.98 tff(10984,plain,
% 8.41/5.98 (![B: $i] : ((~less_3(B)) | (v123(constB14, B) <=> v121(constB13, B)))),
% 8.41/5.98 inference(unit_resolution,[status(thm)],[10983, 9124, 9924])).
% 8.41/5.98 tff(10985,plain,
% 8.41/5.98 (((~![B: $i] : ((~less_3(B)) | (v123(constB14, B) <=> v121(constB13, B)))) | ((~less_3(bitIndex2)) | (v123(constB14, bitIndex2) <=> v121(constB13, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB14, B) <=> v121(constB13, B)))) | (~less_3(bitIndex2)) | (v123(constB14, bitIndex2) <=> v121(constB13, bitIndex2)))),
% 8.41/5.98 inference(rewrite,[status(thm)],[])).
% 8.41/5.98 tff(10986,plain,
% 8.41/5.98 ((~![B: $i] : ((~less_3(B)) | (v123(constB14, B) <=> v121(constB13, B)))) | ((~less_3(bitIndex2)) | (v123(constB14, bitIndex2) <=> v121(constB13, bitIndex2)))),
% 8.41/5.98 inference(quant_inst,[status(thm)],[])).
% 8.41/5.98 tff(10987,plain,
% 8.41/5.98 ((~![B: $i] : ((~less_3(B)) | (v123(constB14, B) <=> v121(constB13, B)))) | (~less_3(bitIndex2)) | (v123(constB14, bitIndex2) <=> v121(constB13, bitIndex2))),
% 8.41/5.98 inference(modus_ponens,[status(thm)],[10986, 10985])).
% 8.41/5.98 tff(10988,plain,
% 8.41/5.98 (v123(constB14, bitIndex2) <=> v121(constB13, bitIndex2)),
% 8.41/5.98 inference(unit_resolution,[status(thm)],[10987, 832, 10984])).
% 8.41/5.98 tff(10989,plain,
% 8.41/5.98 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB13) | ![B: $i] : ((~less_3(B)) | (v121(constB13, B) <=> v124(constB13, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB13) | ![B: $i] : ((~less_3(B)) | (v121(constB13, B) <=> v124(constB13, B))))),
% 8.41/5.98 inference(rewrite,[status(thm)],[])).
% 8.41/5.98 tff(10990,plain,
% 8.41/5.98 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB13) | ![B: $i] : ((~less_3(B)) | (v121(constB13, B) <=> v124(constB13, B))))),
% 8.41/5.98 inference(quant_inst,[status(thm)],[])).
% 8.41/5.98 tff(10991,plain,
% 8.41/5.98 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB13) | ![B: $i] : ((~less_3(B)) | (v121(constB13, B) <=> v124(constB13, B)))),
% 8.41/5.98 inference(modus_ponens,[status(thm)],[10990, 10989])).
% 8.41/5.98 tff(10992,plain,
% 8.41/5.98 (![B: $i] : ((~less_3(B)) | (v121(constB13, B) <=> v124(constB13, B)))),
% 8.41/5.98 inference(unit_resolution,[status(thm)],[10991, 9945, 10953])).
% 8.41/5.98 tff(10993,plain,
% 8.41/5.98 (((~![B: $i] : ((~less_3(B)) | (v121(constB13, B) <=> v124(constB13, B)))) | ((~less_3(bitIndex2)) | (v121(constB13, bitIndex2) <=> v124(constB13, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB13, B) <=> v124(constB13, B)))) | (~less_3(bitIndex2)) | (v121(constB13, bitIndex2) <=> v124(constB13, bitIndex2)))),
% 8.41/5.98 inference(rewrite,[status(thm)],[])).
% 8.41/5.98 tff(10994,plain,
% 8.41/5.98 ((~![B: $i] : ((~less_3(B)) | (v121(constB13, B) <=> v124(constB13, B)))) | ((~less_3(bitIndex2)) | (v121(constB13, bitIndex2) <=> v124(constB13, bitIndex2)))),
% 8.41/5.98 inference(quant_inst,[status(thm)],[])).
% 8.41/5.98 tff(10995,plain,
% 8.41/5.98 ((~![B: $i] : ((~less_3(B)) | (v121(constB13, B) <=> v124(constB13, B)))) | (~less_3(bitIndex2)) | (v121(constB13, bitIndex2) <=> v124(constB13, bitIndex2))),
% 8.41/5.98 inference(modus_ponens,[status(thm)],[10994, 10993])).
% 8.41/5.98 tff(10996,plain,
% 8.41/5.98 (v121(constB13, bitIndex2) <=> v124(constB13, bitIndex2)),
% 8.41/5.98 inference(unit_resolution,[status(thm)],[10995, 832, 10992])).
% 8.41/5.98 tff(10997,plain,
% 8.41/5.98 ((~![VarCurr: $i] : (v113(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))))) | (v113(constB13) <=> (~(v84(constB13, bitIndex0) | v84(constB13, bitIndex1) | v84(constB13, bitIndex2))))),
% 8.41/5.98 inference(quant_inst,[status(thm)],[])).
% 8.41/5.98 tff(10998,plain,
% 8.41/5.98 (v113(constB13) <=> (~(v84(constB13, bitIndex0) | v84(constB13, bitIndex1) | v84(constB13, bitIndex2)))),
% 8.41/5.98 inference(unit_resolution,[status(thm)],[10997, 9739])).
% 8.41/5.98 tff(10999,plain,
% 8.41/5.98 ((v84(constB13, bitIndex0) | v84(constB13, bitIndex1) | v84(constB13, bitIndex2)) | (~v84(constB13, bitIndex2))),
% 8.41/5.98 inference(tautology,[status(thm)],[])).
% 8.41/5.98 tff(11000,plain,
% 8.41/5.98 (v84(constB13, bitIndex0) | v84(constB13, bitIndex1) | v84(constB13, bitIndex2)),
% 8.41/5.98 inference(unit_resolution,[status(thm)],[10999, 10868])).
% 8.41/5.98 tff(11001,plain,
% 8.41/5.98 ((~(v113(constB13) <=> (~(v84(constB13, bitIndex0) | v84(constB13, bitIndex1) | v84(constB13, bitIndex2))))) | (~v113(constB13)) | (~(v84(constB13, bitIndex0) | v84(constB13, bitIndex1) | v84(constB13, bitIndex2)))),
% 8.41/5.98 inference(tautology,[status(thm)],[])).
% 8.41/5.98 tff(11002,plain,
% 8.41/5.98 (~v113(constB13)),
% 8.41/5.98 inference(unit_resolution,[status(thm)],[11001, 11000, 10998])).
% 8.41/5.98 tff(11003,plain,
% 8.41/5.98 (((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB13) <=> (~((~v84(constB13, bitIndex2)) | v84(constB13, bitIndex1) | (~v84(constB13, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB13) <=> (~((~v84(constB13, bitIndex2)) | v84(constB13, bitIndex1) | (~v84(constB13, bitIndex0))))))),
% 8.41/5.98 inference(rewrite,[status(thm)],[])).
% 8.41/5.98 tff(11004,plain,
% 8.41/5.98 ((v118(constB13) <=> (~(v84(constB13, bitIndex1) | (~v84(constB13, bitIndex0)) | (~v84(constB13, bitIndex2))))) <=> (v118(constB13) <=> (~((~v84(constB13, bitIndex2)) | v84(constB13, bitIndex1) | (~v84(constB13, bitIndex0)))))),
% 8.41/5.98 inference(rewrite,[status(thm)],[])).
% 8.41/5.98 tff(11005,plain,
% 8.41/5.98 (((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB13) <=> (~(v84(constB13, bitIndex1) | (~v84(constB13, bitIndex0)) | (~v84(constB13, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB13) <=> (~((~v84(constB13, bitIndex2)) | v84(constB13, bitIndex1) | (~v84(constB13, bitIndex0))))))),
% 8.41/5.98 inference(monotonicity,[status(thm)],[11004])).
% 8.41/5.98 tff(11006,plain,
% 8.41/5.98 (((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB13) <=> (~(v84(constB13, bitIndex1) | (~v84(constB13, bitIndex0)) | (~v84(constB13, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB13) <=> (~((~v84(constB13, bitIndex2)) | v84(constB13, bitIndex1) | (~v84(constB13, bitIndex0))))))),
% 8.41/5.98 inference(transitivity,[status(thm)],[11005, 11003])).
% 8.41/5.98 tff(11007,plain,
% 8.41/5.98 ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB13) <=> (~(v84(constB13, bitIndex1) | (~v84(constB13, bitIndex0)) | (~v84(constB13, bitIndex2)))))),
% 8.41/5.98 inference(quant_inst,[status(thm)],[])).
% 8.41/5.98 tff(11008,plain,
% 8.41/5.98 ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB13) <=> (~((~v84(constB13, bitIndex2)) | v84(constB13, bitIndex1) | (~v84(constB13, bitIndex0)))))),
% 8.41/5.98 inference(modus_ponens,[status(thm)],[11007, 11006])).
% 8.41/5.98 tff(11009,plain,
% 8.41/5.98 (v118(constB13) <=> (~((~v84(constB13, bitIndex2)) | v84(constB13, bitIndex1) | (~v84(constB13, bitIndex0))))),
% 8.41/5.98 inference(unit_resolution,[status(thm)],[11008, 960])).
% 8.41/5.98 tff(11010,plain,
% 8.41/5.98 (((~v84(constB13, bitIndex2)) | v84(constB13, bitIndex1) | (~v84(constB13, bitIndex0))) | (~v84(constB13, bitIndex1))),
% 8.41/5.98 inference(tautology,[status(thm)],[])).
% 8.41/5.98 tff(11011,plain,
% 8.41/5.98 ((~v84(constB13, bitIndex2)) | v84(constB13, bitIndex1) | (~v84(constB13, bitIndex0))),
% 8.41/5.98 inference(unit_resolution,[status(thm)],[11010, 10936])).
% 8.41/5.98 tff(11012,plain,
% 8.41/5.98 ((~(v118(constB13) <=> (~((~v84(constB13, bitIndex2)) | v84(constB13, bitIndex1) | (~v84(constB13, bitIndex0)))))) | (~v118(constB13)) | (~((~v84(constB13, bitIndex2)) | v84(constB13, bitIndex1) | (~v84(constB13, bitIndex0))))),
% 8.41/5.98 inference(tautology,[status(thm)],[])).
% 8.41/5.98 tff(11013,plain,
% 8.41/5.98 (~v118(constB13)),
% 8.41/5.98 inference(unit_resolution,[status(thm)],[11012, 11011, 11009])).
% 8.41/5.98 tff(11014,plain,
% 8.41/5.98 (((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB13) <=> (~((~v84(constB13, bitIndex2)) | v84(constB13, bitIndex1) | v84(constB13, bitIndex0))))) <=> ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB13) <=> (~((~v84(constB13, bitIndex2)) | v84(constB13, bitIndex1) | v84(constB13, bitIndex0)))))),
% 8.41/5.98 inference(rewrite,[status(thm)],[])).
% 8.41/5.98 tff(11015,plain,
% 8.41/5.98 ((v117(constB13) <=> (~(v84(constB13, bitIndex0) | v84(constB13, bitIndex1) | (~v84(constB13, bitIndex2))))) <=> (v117(constB13) <=> (~((~v84(constB13, bitIndex2)) | v84(constB13, bitIndex1) | v84(constB13, bitIndex0))))),
% 8.41/5.98 inference(rewrite,[status(thm)],[])).
% 8.41/5.98 tff(11016,plain,
% 8.41/5.98 (((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB13) <=> (~(v84(constB13, bitIndex0) | v84(constB13, bitIndex1) | (~v84(constB13, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB13) <=> (~((~v84(constB13, bitIndex2)) | v84(constB13, bitIndex1) | v84(constB13, bitIndex0)))))),
% 8.41/5.98 inference(monotonicity,[status(thm)],[11015])).
% 8.41/5.98 tff(11017,plain,
% 8.41/5.98 (((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB13) <=> (~(v84(constB13, bitIndex0) | v84(constB13, bitIndex1) | (~v84(constB13, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB13) <=> (~((~v84(constB13, bitIndex2)) | v84(constB13, bitIndex1) | v84(constB13, bitIndex0)))))),
% 8.41/5.98 inference(transitivity,[status(thm)],[11016, 11014])).
% 8.41/5.98 tff(11018,plain,
% 8.41/5.98 ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB13) <=> (~(v84(constB13, bitIndex0) | v84(constB13, bitIndex1) | (~v84(constB13, bitIndex2)))))),
% 8.41/5.98 inference(quant_inst,[status(thm)],[])).
% 8.41/5.98 tff(11019,plain,
% 8.41/5.98 ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB13) <=> (~((~v84(constB13, bitIndex2)) | v84(constB13, bitIndex1) | v84(constB13, bitIndex0))))),
% 8.41/5.98 inference(modus_ponens,[status(thm)],[11018, 11017])).
% 8.41/5.98 tff(11020,plain,
% 8.41/5.98 (v117(constB13) <=> (~((~v84(constB13, bitIndex2)) | v84(constB13, bitIndex1) | v84(constB13, bitIndex0)))),
% 8.41/5.98 inference(unit_resolution,[status(thm)],[11019, 1071])).
% 8.41/5.98 tff(11021,plain,
% 8.41/5.98 (((~v84(constB13, bitIndex2)) | v84(constB13, bitIndex1) | v84(constB13, bitIndex0)) | (~v84(constB13, bitIndex1))),
% 8.41/5.98 inference(tautology,[status(thm)],[])).
% 8.41/5.98 tff(11022,plain,
% 8.41/5.98 ((~v84(constB13, bitIndex2)) | v84(constB13, bitIndex1) | v84(constB13, bitIndex0)),
% 8.41/5.98 inference(unit_resolution,[status(thm)],[11021, 10936])).
% 8.41/5.98 tff(11023,plain,
% 8.41/5.98 ((~(v117(constB13) <=> (~((~v84(constB13, bitIndex2)) | v84(constB13, bitIndex1) | v84(constB13, bitIndex0))))) | (~v117(constB13)) | (~((~v84(constB13, bitIndex2)) | v84(constB13, bitIndex1) | v84(constB13, bitIndex0)))),
% 8.41/5.98 inference(tautology,[status(thm)],[])).
% 8.41/5.98 tff(11024,plain,
% 8.41/5.98 (~v117(constB13)),
% 8.41/5.98 inference(unit_resolution,[status(thm)],[11023, 11022, 11020])).
% 8.41/5.98 tff(11025,plain,
% 8.41/5.98 ((~![VarCurr: $i] : (v116(VarCurr) <=> (~(v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex0)))))) | (v116(constB13) <=> (~(v84(constB13, bitIndex2) | (~v84(constB13, bitIndex1)) | (~v84(constB13, bitIndex0)))))),
% 8.41/5.98 inference(quant_inst,[status(thm)],[])).
% 8.41/5.98 tff(11026,plain,
% 8.41/5.98 (v116(constB13) <=> (~(v84(constB13, bitIndex2) | (~v84(constB13, bitIndex1)) | (~v84(constB13, bitIndex0))))),
% 8.41/5.98 inference(unit_resolution,[status(thm)],[11025, 1184])).
% 8.41/5.98 tff(11027,plain,
% 8.41/5.98 ((v84(constB13, bitIndex2) | (~v84(constB13, bitIndex1)) | (~v84(constB13, bitIndex0))) | (~v84(constB13, bitIndex2))),
% 8.41/5.98 inference(tautology,[status(thm)],[])).
% 8.41/5.98 tff(11028,plain,
% 8.41/5.98 (v84(constB13, bitIndex2) | (~v84(constB13, bitIndex1)) | (~v84(constB13, bitIndex0))),
% 8.41/5.98 inference(unit_resolution,[status(thm)],[11027, 10868])).
% 8.41/5.98 tff(11029,plain,
% 8.41/5.98 ((~(v116(constB13) <=> (~(v84(constB13, bitIndex2) | (~v84(constB13, bitIndex1)) | (~v84(constB13, bitIndex0)))))) | (~v116(constB13)) | (~(v84(constB13, bitIndex2) | (~v84(constB13, bitIndex1)) | (~v84(constB13, bitIndex0))))),
% 8.41/5.98 inference(tautology,[status(thm)],[])).
% 8.41/5.98 tff(11030,plain,
% 8.41/5.98 (~v116(constB13)),
% 8.41/5.98 inference(unit_resolution,[status(thm)],[11029, 11028, 11026])).
% 8.41/5.98 tff(11031,plain,
% 8.41/5.98 (((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB13) <=> (~(v84(constB13, bitIndex2) | (~v84(constB13, bitIndex1)) | v84(constB13, bitIndex0))))) <=> ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB13) <=> (~(v84(constB13, bitIndex2) | (~v84(constB13, bitIndex1)) | v84(constB13, bitIndex0)))))),
% 8.41/5.98 inference(rewrite,[status(thm)],[])).
% 8.41/5.98 tff(11032,plain,
% 8.41/5.98 ((v115(constB13) <=> (~(v84(constB13, bitIndex0) | v84(constB13, bitIndex2) | (~v84(constB13, bitIndex1))))) <=> (v115(constB13) <=> (~(v84(constB13, bitIndex2) | (~v84(constB13, bitIndex1)) | v84(constB13, bitIndex0))))),
% 8.41/5.98 inference(rewrite,[status(thm)],[])).
% 8.41/5.98 tff(11033,plain,
% 8.41/5.98 (((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB13) <=> (~(v84(constB13, bitIndex0) | v84(constB13, bitIndex2) | (~v84(constB13, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB13) <=> (~(v84(constB13, bitIndex2) | (~v84(constB13, bitIndex1)) | v84(constB13, bitIndex0)))))),
% 8.41/5.99 inference(monotonicity,[status(thm)],[11032])).
% 8.41/5.99 tff(11034,plain,
% 8.41/5.99 (((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB13) <=> (~(v84(constB13, bitIndex0) | v84(constB13, bitIndex2) | (~v84(constB13, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB13) <=> (~(v84(constB13, bitIndex2) | (~v84(constB13, bitIndex1)) | v84(constB13, bitIndex0)))))),
% 8.41/5.99 inference(transitivity,[status(thm)],[11033, 11031])).
% 8.41/5.99 tff(11035,plain,
% 8.41/5.99 ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB13) <=> (~(v84(constB13, bitIndex0) | v84(constB13, bitIndex2) | (~v84(constB13, bitIndex1)))))),
% 8.41/5.99 inference(quant_inst,[status(thm)],[])).
% 8.41/5.99 tff(11036,plain,
% 8.41/5.99 ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB13) <=> (~(v84(constB13, bitIndex2) | (~v84(constB13, bitIndex1)) | v84(constB13, bitIndex0))))),
% 8.41/5.99 inference(modus_ponens,[status(thm)],[11035, 11034])).
% 8.41/5.99 tff(11037,plain,
% 8.41/5.99 (v115(constB13) <=> (~(v84(constB13, bitIndex2) | (~v84(constB13, bitIndex1)) | v84(constB13, bitIndex0)))),
% 8.41/5.99 inference(unit_resolution,[status(thm)],[11036, 1294])).
% 8.41/5.99 tff(11038,plain,
% 8.41/5.99 ((v84(constB13, bitIndex2) | (~v84(constB13, bitIndex1)) | v84(constB13, bitIndex0)) | (~v84(constB13, bitIndex2))),
% 8.41/5.99 inference(tautology,[status(thm)],[])).
% 8.41/5.99 tff(11039,plain,
% 8.41/5.99 (v84(constB13, bitIndex2) | (~v84(constB13, bitIndex1)) | v84(constB13, bitIndex0)),
% 8.41/5.99 inference(unit_resolution,[status(thm)],[11038, 10868])).
% 8.41/5.99 tff(11040,plain,
% 8.41/5.99 ((~(v115(constB13) <=> (~(v84(constB13, bitIndex2) | (~v84(constB13, bitIndex1)) | v84(constB13, bitIndex0))))) | (~v115(constB13)) | (~(v84(constB13, bitIndex2) | (~v84(constB13, bitIndex1)) | v84(constB13, bitIndex0)))),
% 8.41/5.99 inference(tautology,[status(thm)],[])).
% 8.41/5.99 tff(11041,plain,
% 8.41/5.99 (~v115(constB13)),
% 8.41/5.99 inference(unit_resolution,[status(thm)],[11040, 11039, 11037])).
% 8.41/5.99 tff(11042,plain,
% 8.41/5.99 (((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB13) <=> (~(v84(constB13, bitIndex2) | v84(constB13, bitIndex1) | (~v84(constB13, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB13) <=> (~(v84(constB13, bitIndex2) | v84(constB13, bitIndex1) | (~v84(constB13, bitIndex0))))))),
% 8.41/5.99 inference(rewrite,[status(thm)],[])).
% 8.41/5.99 tff(11043,plain,
% 8.41/5.99 ((v114(constB13) <=> (~(v84(constB13, bitIndex1) | v84(constB13, bitIndex2) | (~v84(constB13, bitIndex0))))) <=> (v114(constB13) <=> (~(v84(constB13, bitIndex2) | v84(constB13, bitIndex1) | (~v84(constB13, bitIndex0)))))),
% 8.41/5.99 inference(rewrite,[status(thm)],[])).
% 8.41/5.99 tff(11044,plain,
% 8.41/5.99 (((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB13) <=> (~(v84(constB13, bitIndex1) | v84(constB13, bitIndex2) | (~v84(constB13, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB13) <=> (~(v84(constB13, bitIndex2) | v84(constB13, bitIndex1) | (~v84(constB13, bitIndex0))))))),
% 8.41/5.99 inference(monotonicity,[status(thm)],[11043])).
% 8.41/5.99 tff(11045,plain,
% 8.41/5.99 (((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB13) <=> (~(v84(constB13, bitIndex1) | v84(constB13, bitIndex2) | (~v84(constB13, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB13) <=> (~(v84(constB13, bitIndex2) | v84(constB13, bitIndex1) | (~v84(constB13, bitIndex0))))))),
% 8.41/5.99 inference(transitivity,[status(thm)],[11044, 11042])).
% 8.41/5.99 tff(11046,plain,
% 8.41/5.99 ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB13) <=> (~(v84(constB13, bitIndex1) | v84(constB13, bitIndex2) | (~v84(constB13, bitIndex0)))))),
% 8.41/5.99 inference(quant_inst,[status(thm)],[])).
% 8.41/5.99 tff(11047,plain,
% 8.41/5.99 ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB13) <=> (~(v84(constB13, bitIndex2) | v84(constB13, bitIndex1) | (~v84(constB13, bitIndex0)))))),
% 8.41/5.99 inference(modus_ponens,[status(thm)],[11046, 11045])).
% 8.41/5.99 tff(11048,plain,
% 8.41/5.99 (v114(constB13) <=> (~(v84(constB13, bitIndex2) | v84(constB13, bitIndex1) | (~v84(constB13, bitIndex0))))),
% 8.41/5.99 inference(unit_resolution,[status(thm)],[11047, 1411])).
% 8.41/5.99 tff(11049,plain,
% 8.41/5.99 ((v84(constB13, bitIndex2) | v84(constB13, bitIndex1) | (~v84(constB13, bitIndex0))) | (~v84(constB13, bitIndex2))),
% 8.41/5.99 inference(tautology,[status(thm)],[])).
% 8.41/5.99 tff(11050,plain,
% 8.41/5.99 (v84(constB13, bitIndex2) | v84(constB13, bitIndex1) | (~v84(constB13, bitIndex0))),
% 8.41/5.99 inference(unit_resolution,[status(thm)],[11049, 10868])).
% 8.41/5.99 tff(11051,plain,
% 8.41/5.99 ((~(v114(constB13) <=> (~(v84(constB13, bitIndex2) | v84(constB13, bitIndex1) | (~v84(constB13, bitIndex0)))))) | (~v114(constB13)) | (~(v84(constB13, bitIndex2) | v84(constB13, bitIndex1) | (~v84(constB13, bitIndex0))))),
% 8.41/5.99 inference(tautology,[status(thm)],[])).
% 8.41/5.99 tff(11052,plain,
% 8.41/5.99 (~v114(constB13)),
% 8.41/5.99 inference(unit_resolution,[status(thm)],[11051, 11050, 11048])).
% 8.41/5.99 tff(11053,plain,
% 8.41/5.99 (^[VarCurr: $i] : refl((v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B)))) <=> (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B)))))),
% 8.41/5.99 inference(bind,[status(th)],[])).
% 8.41/5.99 tff(11054,plain,
% 8.41/5.99 (![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B)))) <=> ![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))),
% 8.41/5.99 inference(quant_intro,[status(thm)],[11053])).
% 8.41/5.99 tff(11055,plain,
% 8.41/5.99 (^[VarCurr: $i] : rewrite((v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B)))) <=> (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B)))))),
% 8.41/5.99 inference(bind,[status(th)],[])).
% 8.41/5.99 tff(11056,plain,
% 8.41/5.99 (![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B)))) <=> ![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))),
% 8.41/5.99 inference(quant_intro,[status(thm)],[11055])).
% 8.41/5.99 tff(11057,plain,
% 8.41/5.99 (![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B)))) <=> ![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))),
% 8.41/5.99 inference(transitivity,[status(thm)],[11056, 11054])).
% 8.41/5.99 tff(11058,plain,
% 8.41/5.99 (^[VarCurr: $i] : trans(monotonicity(trans(monotonicity(rewrite(((~v113(VarCurr)) & (~v114(VarCurr)) & (~v115(VarCurr)) & (~v116(VarCurr)) & (~v117(VarCurr)) & (~v118(VarCurr))) <=> (~(v113(VarCurr) | v114(VarCurr) | v115(VarCurr) | v116(VarCurr) | v117(VarCurr) | v118(VarCurr)))), ((~((~v113(VarCurr)) & (~v114(VarCurr)) & (~v115(VarCurr)) & (~v116(VarCurr)) & (~v117(VarCurr)) & (~v118(VarCurr)))) <=> (~(~(v113(VarCurr) | v114(VarCurr) | v115(VarCurr) | v116(VarCurr) | v117(VarCurr) | v118(VarCurr)))))), rewrite((~(~(v113(VarCurr) | v114(VarCurr) | v115(VarCurr) | v116(VarCurr) | v117(VarCurr) | v118(VarCurr)))) <=> (v113(VarCurr) | v114(VarCurr) | v115(VarCurr) | v116(VarCurr) | v117(VarCurr) | v118(VarCurr))), ((~((~v113(VarCurr)) & (~v114(VarCurr)) & (~v115(VarCurr)) & (~v116(VarCurr)) & (~v117(VarCurr)) & (~v118(VarCurr)))) <=> (v113(VarCurr) | v114(VarCurr) | v115(VarCurr) | v116(VarCurr) | v117(VarCurr) | v118(VarCurr)))), (((~((~v113(VarCurr)) & (~v114(VarCurr)) & (~v115(VarCurr)) & (~v116(VarCurr)) & (~v117(VarCurr)) & (~v118(VarCurr)))) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B)))) <=> ((v113(VarCurr) | v114(VarCurr) | v115(VarCurr) | v116(VarCurr) | v117(VarCurr) | v118(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B)))))), rewrite(((v113(VarCurr) | v114(VarCurr) | v115(VarCurr) | v116(VarCurr) | v117(VarCurr) | v118(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B)))) <=> (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))), (((~((~v113(VarCurr)) & (~v114(VarCurr)) & (~v115(VarCurr)) & (~v116(VarCurr)) & (~v117(VarCurr)) & (~v118(VarCurr)))) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B)))) <=> (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))))),
% 8.41/5.99 inference(bind,[status(th)],[])).
% 8.41/5.99 tff(11059,plain,
% 8.41/5.99 (![VarCurr: $i] : ((~((~v113(VarCurr)) & (~v114(VarCurr)) & (~v115(VarCurr)) & (~v116(VarCurr)) & (~v117(VarCurr)) & (~v118(VarCurr)))) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B)))) <=> ![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))),
% 8.41/5.99 inference(quant_intro,[status(thm)],[11058])).
% 8.41/5.99 tff(11060,plain,
% 8.41/5.99 (![VarCurr: $i] : ((~((~v113(VarCurr)) & (~v114(VarCurr)) & (~v115(VarCurr)) & (~v116(VarCurr)) & (~v117(VarCurr)) & (~v118(VarCurr)))) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B)))) <=> ![VarCurr: $i] : ((~((~v113(VarCurr)) & (~v114(VarCurr)) & (~v115(VarCurr)) & (~v116(VarCurr)) & (~v117(VarCurr)) & (~v118(VarCurr)))) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))),
% 8.41/5.99 inference(rewrite,[status(thm)],[])).
% 8.41/5.99 tff(11061,plain,
% 8.41/5.99 (^[VarCurr: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~v113(VarCurr)) & (~v114(VarCurr))) & (~v115(VarCurr))) <=> ((~v113(VarCurr)) & (~v114(VarCurr)) & (~v115(VarCurr)))), (((((~v113(VarCurr)) & (~v114(VarCurr))) & (~v115(VarCurr))) & (~v116(VarCurr))) <=> (((~v113(VarCurr)) & (~v114(VarCurr)) & (~v115(VarCurr))) & (~v116(VarCurr))))), rewrite((((~v113(VarCurr)) & (~v114(VarCurr)) & (~v115(VarCurr))) & (~v116(VarCurr))) <=> ((~v113(VarCurr)) & (~v114(VarCurr)) & (~v115(VarCurr)) & (~v116(VarCurr)))), (((((~v113(VarCurr)) & (~v114(VarCurr))) & (~v115(VarCurr))) & (~v116(VarCurr))) <=> ((~v113(VarCurr)) & (~v114(VarCurr)) & (~v115(VarCurr)) & (~v116(VarCurr))))), ((((((~v113(VarCurr)) & (~v114(VarCurr))) & (~v115(VarCurr))) & (~v116(VarCurr))) & (~v117(VarCurr))) <=> (((~v113(VarCurr)) & (~v114(VarCurr)) & (~v115(VarCurr)) & (~v116(VarCurr))) & (~v117(VarCurr))))), rewrite((((~v113(VarCurr)) & (~v114(VarCurr)) & (~v115(VarCurr)) & (~v116(VarCurr))) & (~v117(VarCurr))) <=> ((~v113(VarCurr)) & (~v114(VarCurr)) & (~v115(VarCurr)) & (~v116(VarCurr)) & (~v117(VarCurr)))), ((((((~v113(VarCurr)) & (~v114(VarCurr))) & (~v115(VarCurr))) & (~v116(VarCurr))) & (~v117(VarCurr))) <=> ((~v113(VarCurr)) & (~v114(VarCurr)) & (~v115(VarCurr)) & (~v116(VarCurr)) & (~v117(VarCurr))))), (((((((~v113(VarCurr)) & (~v114(VarCurr))) & (~v115(VarCurr))) & (~v116(VarCurr))) & (~v117(VarCurr))) & (~v118(VarCurr))) <=> (((~v113(VarCurr)) & (~v114(VarCurr)) & (~v115(VarCurr)) & (~v116(VarCurr)) & (~v117(VarCurr))) & (~v118(VarCurr))))), rewrite((((~v113(VarCurr)) & (~v114(VarCurr)) & (~v115(VarCurr)) & (~v116(VarCurr)) & (~v117(VarCurr))) & (~v118(VarCurr))) <=> ((~v113(VarCurr)) & (~v114(VarCurr)) & (~v115(VarCurr)) & (~v116(VarCurr)) & (~v117(VarCurr)) & (~v118(VarCurr)))), (((((((~v113(VarCurr)) & (~v114(VarCurr))) & (~v115(VarCurr))) & (~v116(VarCurr))) & (~v117(VarCurr))) & (~v118(VarCurr))) <=> ((~v113(VarCurr)) & (~v114(VarCurr)) & (~v115(VarCurr)) & (~v116(VarCurr)) & (~v117(VarCurr)) & (~v118(VarCurr))))), quant_intro(proof_bind(^[B: $i] : rewrite((less_3(B) => (v124(VarCurr, B) <=> b001(B))) <=> ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))), (![B: $i] : (less_3(B) => (v124(VarCurr, B) <=> b001(B))) <=> ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))), ((((((((~v113(VarCurr)) & (~v114(VarCurr))) & (~v115(VarCurr))) & (~v116(VarCurr))) & (~v117(VarCurr))) & (~v118(VarCurr))) => ![B: $i] : (less_3(B) => (v124(VarCurr, B) <=> b001(B)))) <=> (((~v113(VarCurr)) & (~v114(VarCurr)) & (~v115(VarCurr)) & (~v116(VarCurr)) & (~v117(VarCurr)) & (~v118(VarCurr))) => ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B)))))), rewrite((((~v113(VarCurr)) & (~v114(VarCurr)) & (~v115(VarCurr)) & (~v116(VarCurr)) & (~v117(VarCurr)) & (~v118(VarCurr))) => ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B)))) <=> ((~((~v113(VarCurr)) & (~v114(VarCurr)) & (~v115(VarCurr)) & (~v116(VarCurr)) & (~v117(VarCurr)) & (~v118(VarCurr)))) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))), ((((((((~v113(VarCurr)) & (~v114(VarCurr))) & (~v115(VarCurr))) & (~v116(VarCurr))) & (~v117(VarCurr))) & (~v118(VarCurr))) => ![B: $i] : (less_3(B) => (v124(VarCurr, B) <=> b001(B)))) <=> ((~((~v113(VarCurr)) & (~v114(VarCurr)) & (~v115(VarCurr)) & (~v116(VarCurr)) & (~v117(VarCurr)) & (~v118(VarCurr)))) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))))),
% 8.41/5.99 inference(bind,[status(th)],[])).
% 8.41/5.99 tff(11062,plain,
% 8.41/5.99 (![VarCurr: $i] : (((((((~v113(VarCurr)) & (~v114(VarCurr))) & (~v115(VarCurr))) & (~v116(VarCurr))) & (~v117(VarCurr))) & (~v118(VarCurr))) => ![B: $i] : (less_3(B) => (v124(VarCurr, B) <=> b001(B)))) <=> ![VarCurr: $i] : ((~((~v113(VarCurr)) & (~v114(VarCurr)) & (~v115(VarCurr)) & (~v116(VarCurr)) & (~v117(VarCurr)) & (~v118(VarCurr)))) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))),
% 8.41/5.99 inference(quant_intro,[status(thm)],[11061])).
% 8.41/5.99 tff(11063,axiom,(![VarCurr: $i] : (((((((~v113(VarCurr)) & (~v114(VarCurr))) & (~v115(VarCurr))) & (~v116(VarCurr))) & (~v117(VarCurr))) & (~v118(VarCurr))) => ![B: $i] : (less_3(B) => (v124(VarCurr, B) <=> b001(B))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addParallelCaseBooleanConditionEqualRanges6')).
% 8.41/5.99 tff(11064,plain,
% 8.41/5.99 (![VarCurr: $i] : ((~((~v113(VarCurr)) & (~v114(VarCurr)) & (~v115(VarCurr)) & (~v116(VarCurr)) & (~v117(VarCurr)) & (~v118(VarCurr)))) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))),
% 8.41/5.99 inference(modus_ponens,[status(thm)],[11063, 11062])).
% 8.41/5.99 tff(11065,plain,
% 8.41/5.99 (![VarCurr: $i] : ((~((~v113(VarCurr)) & (~v114(VarCurr)) & (~v115(VarCurr)) & (~v116(VarCurr)) & (~v117(VarCurr)) & (~v118(VarCurr)))) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))),
% 8.41/5.99 inference(modus_ponens,[status(thm)],[11064, 11060])).
% 8.41/5.99 tff(11066,plain,(
% 8.41/5.99 ![VarCurr: $i] : ((~((~v113(VarCurr)) & (~v114(VarCurr)) & (~v115(VarCurr)) & (~v116(VarCurr)) & (~v117(VarCurr)) & (~v118(VarCurr)))) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))),
% 8.41/5.99 inference(skolemize,[status(sab)],[11065])).
% 8.41/5.99 tff(11067,plain,
% 8.41/5.99 (![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))),
% 8.41/5.99 inference(modus_ponens,[status(thm)],[11066, 11059])).
% 8.41/5.99 tff(11068,plain,
% 8.41/5.99 (![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))),
% 8.41/5.99 inference(modus_ponens,[status(thm)],[11067, 11057])).
% 8.41/5.99 tff(11069,plain,
% 8.41/5.99 (((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | (v113(constB13) | v114(constB13) | v115(constB13) | v116(constB13) | v117(constB13) | v118(constB13) | ![B: $i] : ((~less_3(B)) | (v124(constB13, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | v113(constB13) | v114(constB13) | v115(constB13) | v116(constB13) | v117(constB13) | v118(constB13) | ![B: $i] : ((~less_3(B)) | (v124(constB13, B) <=> b001(B))))),
% 8.41/5.99 inference(rewrite,[status(thm)],[])).
% 8.41/5.99 tff(11070,plain,
% 8.41/5.99 ((v118(constB13) | v117(constB13) | v116(constB13) | v115(constB13) | v114(constB13) | v113(constB13) | ![B: $i] : ((~less_3(B)) | (v124(constB13, B) <=> b001(B)))) <=> (v113(constB13) | v114(constB13) | v115(constB13) | v116(constB13) | v117(constB13) | v118(constB13) | ![B: $i] : ((~less_3(B)) | (v124(constB13, B) <=> b001(B))))),
% 8.41/5.99 inference(rewrite,[status(thm)],[])).
% 8.41/5.99 tff(11071,plain,
% 8.41/5.99 (((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | (v118(constB13) | v117(constB13) | v116(constB13) | v115(constB13) | v114(constB13) | v113(constB13) | ![B: $i] : ((~less_3(B)) | (v124(constB13, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | (v113(constB13) | v114(constB13) | v115(constB13) | v116(constB13) | v117(constB13) | v118(constB13) | ![B: $i] : ((~less_3(B)) | (v124(constB13, B) <=> b001(B)))))),
% 8.41/5.99 inference(monotonicity,[status(thm)],[11070])).
% 8.41/5.99 tff(11072,plain,
% 8.41/5.99 (((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | (v118(constB13) | v117(constB13) | v116(constB13) | v115(constB13) | v114(constB13) | v113(constB13) | ![B: $i] : ((~less_3(B)) | (v124(constB13, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | v113(constB13) | v114(constB13) | v115(constB13) | v116(constB13) | v117(constB13) | v118(constB13) | ![B: $i] : ((~less_3(B)) | (v124(constB13, B) <=> b001(B))))),
% 8.41/5.99 inference(transitivity,[status(thm)],[11071, 11069])).
% 8.41/5.99 tff(11073,plain,
% 8.41/5.99 ((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | (v118(constB13) | v117(constB13) | v116(constB13) | v115(constB13) | v114(constB13) | v113(constB13) | ![B: $i] : ((~less_3(B)) | (v124(constB13, B) <=> b001(B))))),
% 8.41/5.99 inference(quant_inst,[status(thm)],[])).
% 8.41/5.99 tff(11074,plain,
% 8.41/5.99 ((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | v113(constB13) | v114(constB13) | v115(constB13) | v116(constB13) | v117(constB13) | v118(constB13) | ![B: $i] : ((~less_3(B)) | (v124(constB13, B) <=> b001(B)))),
% 8.41/5.99 inference(modus_ponens,[status(thm)],[11073, 11072])).
% 8.41/5.99 tff(11075,plain,
% 8.41/5.99 (v113(constB13) | v114(constB13) | v115(constB13) | v116(constB13) | v117(constB13) | v118(constB13) | ![B: $i] : ((~less_3(B)) | (v124(constB13, B) <=> b001(B)))),
% 8.41/5.99 inference(unit_resolution,[status(thm)],[11074, 11068])).
% 8.41/5.99 tff(11076,plain,
% 8.41/5.99 (![B: $i] : ((~less_3(B)) | (v124(constB13, B) <=> b001(B)))),
% 8.41/5.99 inference(unit_resolution,[status(thm)],[11075, 11052, 11041, 11030, 11024, 11013, 11002])).
% 8.41/5.99 tff(11077,plain,
% 8.41/5.99 (((~![B: $i] : ((~less_3(B)) | (v124(constB13, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v124(constB13, bitIndex2) <=> b001(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB13, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v124(constB13, bitIndex2) <=> b001(bitIndex2)))),
% 8.41/5.99 inference(rewrite,[status(thm)],[])).
% 8.41/5.99 tff(11078,plain,
% 8.41/5.99 ((~![B: $i] : ((~less_3(B)) | (v124(constB13, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v124(constB13, bitIndex2) <=> b001(bitIndex2)))),
% 8.41/5.99 inference(quant_inst,[status(thm)],[])).
% 8.41/5.99 tff(11079,plain,
% 8.41/5.99 ((~![B: $i] : ((~less_3(B)) | (v124(constB13, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v124(constB13, bitIndex2) <=> b001(bitIndex2))),
% 8.41/5.99 inference(modus_ponens,[status(thm)],[11078, 11077])).
% 8.41/5.99 tff(11080,plain,
% 8.41/5.99 (v124(constB13, bitIndex2) <=> b001(bitIndex2)),
% 8.41/5.99 inference(unit_resolution,[status(thm)],[11079, 832, 11076])).
% 8.41/5.99 tff(11081,plain,
% 8.41/5.99 ((~(v124(constB13, bitIndex2) <=> b001(bitIndex2))) | (~v124(constB13, bitIndex2)) | b001(bitIndex2)),
% 8.41/5.99 inference(tautology,[status(thm)],[])).
% 8.41/5.99 tff(11082,plain,
% 8.41/5.99 ((~(v124(constB13, bitIndex2) <=> b001(bitIndex2))) | (~v124(constB13, bitIndex2))),
% 8.41/5.99 inference(unit_resolution,[status(thm)],[11081, 9977])).
% 8.41/5.99 tff(11083,plain,
% 8.41/5.99 (~v124(constB13, bitIndex2)),
% 8.41/5.99 inference(unit_resolution,[status(thm)],[11082, 11080])).
% 8.41/5.99 tff(11084,plain,
% 8.41/5.99 ((~(v121(constB13, bitIndex2) <=> v124(constB13, bitIndex2))) | (~v121(constB13, bitIndex2)) | v124(constB13, bitIndex2)),
% 8.41/5.99 inference(tautology,[status(thm)],[])).
% 8.41/5.99 tff(11085,plain,
% 8.41/5.99 (~v121(constB13, bitIndex2)),
% 8.41/5.99 inference(unit_resolution,[status(thm)],[11084, 11083, 10996])).
% 8.41/5.99 tff(11086,plain,
% 8.41/5.99 ((~(v123(constB14, bitIndex2) <=> v121(constB13, bitIndex2))) | (~v123(constB14, bitIndex2)) | v121(constB13, bitIndex2)),
% 8.41/5.99 inference(tautology,[status(thm)],[])).
% 8.41/5.99 tff(11087,plain,
% 8.41/5.99 (~v123(constB14, bitIndex2)),
% 8.41/5.99 inference(unit_resolution,[status(thm)],[11086, 11085, 10988])).
% 8.41/5.99 tff(11088,plain,
% 8.41/5.99 ((~(v84(constB14, bitIndex2) <=> v123(constB14, bitIndex2))) | (~v84(constB14, bitIndex2)) | v123(constB14, bitIndex2)),
% 8.41/5.99 inference(tautology,[status(thm)],[])).
% 8.41/5.99 tff(11089,plain,
% 8.41/5.99 (~v84(constB14, bitIndex2)),
% 8.41/5.99 inference(unit_resolution,[status(thm)],[11088, 11087, 10980])).
% 8.41/5.99 tff(11090,plain,
% 8.41/5.99 ((~(v84(constB15, bitIndex2) <=> v84(constB14, bitIndex2))) | (~v84(constB15, bitIndex2)) | v84(constB14, bitIndex2)),
% 8.41/5.99 inference(tautology,[status(thm)],[])).
% 8.41/5.99 tff(11091,plain,
% 8.41/5.99 (~v84(constB15, bitIndex2)),
% 8.41/5.99 inference(unit_resolution,[status(thm)],[11090, 11089, 9121])).
% 8.41/5.99 tff(11092,plain,
% 8.41/5.99 (((~![B: $i] : ((~less_3(B)) | (v84(constB15, B) <=> v84(constB14, B)))) | ((~less_3(bitIndex0)) | (v84(constB15, bitIndex0) <=> v84(constB14, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB15, B) <=> v84(constB14, B)))) | (~less_3(bitIndex0)) | (v84(constB15, bitIndex0) <=> v84(constB14, bitIndex0)))),
% 8.41/5.99 inference(rewrite,[status(thm)],[])).
% 8.41/5.99 tff(11093,plain,
% 8.41/5.99 ((~![B: $i] : ((~less_3(B)) | (v84(constB15, B) <=> v84(constB14, B)))) | ((~less_3(bitIndex0)) | (v84(constB15, bitIndex0) <=> v84(constB14, bitIndex0)))),
% 8.41/5.99 inference(quant_inst,[status(thm)],[])).
% 8.41/5.99 tff(11094,plain,
% 8.41/5.99 ((~![B: $i] : ((~less_3(B)) | (v84(constB15, B) <=> v84(constB14, B)))) | (~less_3(bitIndex0)) | (v84(constB15, bitIndex0) <=> v84(constB14, bitIndex0))),
% 8.41/5.99 inference(modus_ponens,[status(thm)],[11093, 11092])).
% 8.41/5.99 tff(11095,plain,
% 8.41/5.99 (v84(constB15, bitIndex0) <=> v84(constB14, bitIndex0)),
% 8.41/5.99 inference(unit_resolution,[status(thm)],[11094, 9772, 9117])).
% 8.41/5.99 tff(11096,plain,
% 8.41/5.99 (((~![B: $i] : ((~less_3(B)) | (v84(constB14, B) <=> v123(constB14, B)))) | ((~less_3(bitIndex0)) | (v84(constB14, bitIndex0) <=> v123(constB14, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB14, B) <=> v123(constB14, B)))) | (~less_3(bitIndex0)) | (v84(constB14, bitIndex0) <=> v123(constB14, bitIndex0)))),
% 8.41/5.99 inference(rewrite,[status(thm)],[])).
% 8.41/5.99 tff(11097,plain,
% 8.41/5.99 ((~![B: $i] : ((~less_3(B)) | (v84(constB14, B) <=> v123(constB14, B)))) | ((~less_3(bitIndex0)) | (v84(constB14, bitIndex0) <=> v123(constB14, bitIndex0)))),
% 8.41/5.99 inference(quant_inst,[status(thm)],[])).
% 8.41/5.99 tff(11098,plain,
% 8.41/5.99 ((~![B: $i] : ((~less_3(B)) | (v84(constB14, B) <=> v123(constB14, B)))) | (~less_3(bitIndex0)) | (v84(constB14, bitIndex0) <=> v123(constB14, bitIndex0))),
% 8.41/5.99 inference(modus_ponens,[status(thm)],[11097, 11096])).
% 8.41/5.99 tff(11099,plain,
% 8.41/5.99 (v84(constB14, bitIndex0) <=> v123(constB14, bitIndex0)),
% 8.41/5.99 inference(unit_resolution,[status(thm)],[11098, 9772, 10976])).
% 8.41/5.99 tff(11100,plain,
% 8.41/5.99 (((~![B: $i] : ((~less_3(B)) | (v123(constB14, B) <=> v121(constB13, B)))) | ((~less_3(bitIndex0)) | (v123(constB14, bitIndex0) <=> v121(constB13, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB14, B) <=> v121(constB13, B)))) | (~less_3(bitIndex0)) | (v123(constB14, bitIndex0) <=> v121(constB13, bitIndex0)))),
% 8.41/5.99 inference(rewrite,[status(thm)],[])).
% 8.41/5.99 tff(11101,plain,
% 8.41/5.99 ((~![B: $i] : ((~less_3(B)) | (v123(constB14, B) <=> v121(constB13, B)))) | ((~less_3(bitIndex0)) | (v123(constB14, bitIndex0) <=> v121(constB13, bitIndex0)))),
% 8.41/5.99 inference(quant_inst,[status(thm)],[])).
% 8.41/5.99 tff(11102,plain,
% 8.41/5.99 ((~![B: $i] : ((~less_3(B)) | (v123(constB14, B) <=> v121(constB13, B)))) | (~less_3(bitIndex0)) | (v123(constB14, bitIndex0) <=> v121(constB13, bitIndex0))),
% 8.41/5.99 inference(modus_ponens,[status(thm)],[11101, 11100])).
% 8.41/5.99 tff(11103,plain,
% 8.41/5.99 (v123(constB14, bitIndex0) <=> v121(constB13, bitIndex0)),
% 8.41/5.99 inference(unit_resolution,[status(thm)],[11102, 9772, 10984])).
% 8.41/5.99 tff(11104,plain,
% 8.41/5.99 (((~![B: $i] : ((~less_3(B)) | (v121(constB13, B) <=> v124(constB13, B)))) | ((~less_3(bitIndex0)) | (v121(constB13, bitIndex0) <=> v124(constB13, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB13, B) <=> v124(constB13, B)))) | (~less_3(bitIndex0)) | (v121(constB13, bitIndex0) <=> v124(constB13, bitIndex0)))),
% 8.41/5.99 inference(rewrite,[status(thm)],[])).
% 8.41/5.99 tff(11105,plain,
% 8.41/5.99 ((~![B: $i] : ((~less_3(B)) | (v121(constB13, B) <=> v124(constB13, B)))) | ((~less_3(bitIndex0)) | (v121(constB13, bitIndex0) <=> v124(constB13, bitIndex0)))),
% 8.41/5.99 inference(quant_inst,[status(thm)],[])).
% 8.41/5.99 tff(11106,plain,
% 8.41/5.99 ((~![B: $i] : ((~less_3(B)) | (v121(constB13, B) <=> v124(constB13, B)))) | (~less_3(bitIndex0)) | (v121(constB13, bitIndex0) <=> v124(constB13, bitIndex0))),
% 8.41/5.99 inference(modus_ponens,[status(thm)],[11105, 11104])).
% 8.41/5.99 tff(11107,plain,
% 8.41/5.99 (v121(constB13, bitIndex0) <=> v124(constB13, bitIndex0)),
% 8.41/5.99 inference(unit_resolution,[status(thm)],[11106, 9772, 10992])).
% 8.41/5.99 tff(11108,plain,
% 8.41/5.99 (((~![B: $i] : ((~less_3(B)) | (v124(constB13, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v124(constB13, bitIndex0) <=> b001(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB13, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v124(constB13, bitIndex0) <=> b001(bitIndex0)))),
% 8.41/5.99 inference(rewrite,[status(thm)],[])).
% 8.41/5.99 tff(11109,plain,
% 8.41/5.99 ((~![B: $i] : ((~less_3(B)) | (v124(constB13, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v124(constB13, bitIndex0) <=> b001(bitIndex0)))),
% 8.41/5.99 inference(quant_inst,[status(thm)],[])).
% 8.41/5.99 tff(11110,plain,
% 8.41/5.99 ((~![B: $i] : ((~less_3(B)) | (v124(constB13, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v124(constB13, bitIndex0) <=> b001(bitIndex0))),
% 8.41/5.99 inference(modus_ponens,[status(thm)],[11109, 11108])).
% 8.41/5.99 tff(11111,plain,
% 8.41/5.99 (v124(constB13, bitIndex0) <=> b001(bitIndex0)),
% 8.41/5.99 inference(unit_resolution,[status(thm)],[11110, 9772, 11076])).
% 8.41/5.99 tff(11112,plain,
% 8.41/5.99 ((~(v124(constB13, bitIndex0) <=> b001(bitIndex0))) | v124(constB13, bitIndex0) | (~b001(bitIndex0))),
% 8.41/5.99 inference(tautology,[status(thm)],[])).
% 8.41/5.99 tff(11113,plain,
% 8.41/5.99 ((~(v124(constB13, bitIndex0) <=> b001(bitIndex0))) | v124(constB13, bitIndex0)),
% 8.41/5.99 inference(unit_resolution,[status(thm)],[11112, 10011])).
% 8.41/5.99 tff(11114,plain,
% 8.41/5.99 (v124(constB13, bitIndex0)),
% 8.41/5.99 inference(unit_resolution,[status(thm)],[11113, 11111])).
% 8.41/5.99 tff(11115,plain,
% 8.41/5.99 ((~(v121(constB13, bitIndex0) <=> v124(constB13, bitIndex0))) | v121(constB13, bitIndex0) | (~v124(constB13, bitIndex0))),
% 8.41/5.99 inference(tautology,[status(thm)],[])).
% 8.41/5.99 tff(11116,plain,
% 8.41/5.99 (v121(constB13, bitIndex0)),
% 8.41/5.99 inference(unit_resolution,[status(thm)],[11115, 11114, 11107])).
% 8.41/5.99 tff(11117,plain,
% 8.41/5.99 ((~(v123(constB14, bitIndex0) <=> v121(constB13, bitIndex0))) | v123(constB14, bitIndex0) | (~v121(constB13, bitIndex0))),
% 8.41/5.99 inference(tautology,[status(thm)],[])).
% 8.41/5.99 tff(11118,plain,
% 8.41/5.99 (v123(constB14, bitIndex0)),
% 8.41/5.99 inference(unit_resolution,[status(thm)],[11117, 11116, 11103])).
% 8.41/5.99 tff(11119,plain,
% 8.41/5.99 ((~(v84(constB14, bitIndex0) <=> v123(constB14, bitIndex0))) | v84(constB14, bitIndex0) | (~v123(constB14, bitIndex0))),
% 8.41/5.99 inference(tautology,[status(thm)],[])).
% 8.41/5.99 tff(11120,plain,
% 8.41/5.99 (v84(constB14, bitIndex0)),
% 8.41/5.99 inference(unit_resolution,[status(thm)],[11119, 11118, 11099])).
% 8.41/5.99 tff(11121,plain,
% 8.41/5.99 ((~(v84(constB15, bitIndex0) <=> v84(constB14, bitIndex0))) | v84(constB15, bitIndex0) | (~v84(constB14, bitIndex0))),
% 8.41/5.99 inference(tautology,[status(thm)],[])).
% 8.41/5.99 tff(11122,plain,
% 8.41/5.99 (v84(constB15, bitIndex0)),
% 8.41/5.99 inference(unit_resolution,[status(thm)],[11121, 11120, 11095])).
% 8.41/5.99 tff(11123,plain,
% 8.41/5.99 (((~![B: $i] : ((~less_3(B)) | (v84(constB15, B) <=> v84(constB14, B)))) | ((~less_3(bitIndex1)) | (v84(constB15, bitIndex1) <=> v84(constB14, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB15, B) <=> v84(constB14, B)))) | (~less_3(bitIndex1)) | (v84(constB15, bitIndex1) <=> v84(constB14, bitIndex1)))),
% 8.41/5.99 inference(rewrite,[status(thm)],[])).
% 8.41/5.99 tff(11124,plain,
% 8.41/5.99 ((~![B: $i] : ((~less_3(B)) | (v84(constB15, B) <=> v84(constB14, B)))) | ((~less_3(bitIndex1)) | (v84(constB15, bitIndex1) <=> v84(constB14, bitIndex1)))),
% 8.41/5.99 inference(quant_inst,[status(thm)],[])).
% 8.41/5.99 tff(11125,plain,
% 8.41/5.99 ((~![B: $i] : ((~less_3(B)) | (v84(constB15, B) <=> v84(constB14, B)))) | (~less_3(bitIndex1)) | (v84(constB15, bitIndex1) <=> v84(constB14, bitIndex1))),
% 8.41/5.99 inference(modus_ponens,[status(thm)],[11124, 11123])).
% 8.41/5.99 tff(11126,plain,
% 8.41/5.99 (v84(constB15, bitIndex1) <=> v84(constB14, bitIndex1)),
% 8.41/5.99 inference(unit_resolution,[status(thm)],[11125, 9785, 9117])).
% 8.41/5.99 tff(11127,plain,
% 8.41/5.99 (((~![B: $i] : ((~less_3(B)) | (v84(constB14, B) <=> v123(constB14, B)))) | ((~less_3(bitIndex1)) | (v84(constB14, bitIndex1) <=> v123(constB14, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB14, B) <=> v123(constB14, B)))) | (~less_3(bitIndex1)) | (v84(constB14, bitIndex1) <=> v123(constB14, bitIndex1)))),
% 8.41/5.99 inference(rewrite,[status(thm)],[])).
% 8.41/5.99 tff(11128,plain,
% 8.41/5.99 ((~![B: $i] : ((~less_3(B)) | (v84(constB14, B) <=> v123(constB14, B)))) | ((~less_3(bitIndex1)) | (v84(constB14, bitIndex1) <=> v123(constB14, bitIndex1)))),
% 8.41/5.99 inference(quant_inst,[status(thm)],[])).
% 8.41/5.99 tff(11129,plain,
% 8.41/5.99 ((~![B: $i] : ((~less_3(B)) | (v84(constB14, B) <=> v123(constB14, B)))) | (~less_3(bitIndex1)) | (v84(constB14, bitIndex1) <=> v123(constB14, bitIndex1))),
% 8.41/5.99 inference(modus_ponens,[status(thm)],[11128, 11127])).
% 8.41/5.99 tff(11130,plain,
% 8.41/5.99 (v84(constB14, bitIndex1) <=> v123(constB14, bitIndex1)),
% 8.41/5.99 inference(unit_resolution,[status(thm)],[11129, 9785, 10976])).
% 8.41/5.99 tff(11131,plain,
% 8.41/5.99 (((~![B: $i] : ((~less_3(B)) | (v123(constB14, B) <=> v121(constB13, B)))) | ((~less_3(bitIndex1)) | (v123(constB14, bitIndex1) <=> v121(constB13, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB14, B) <=> v121(constB13, B)))) | (~less_3(bitIndex1)) | (v123(constB14, bitIndex1) <=> v121(constB13, bitIndex1)))),
% 8.41/5.99 inference(rewrite,[status(thm)],[])).
% 8.41/5.99 tff(11132,plain,
% 8.41/5.99 ((~![B: $i] : ((~less_3(B)) | (v123(constB14, B) <=> v121(constB13, B)))) | ((~less_3(bitIndex1)) | (v123(constB14, bitIndex1) <=> v121(constB13, bitIndex1)))),
% 8.41/5.99 inference(quant_inst,[status(thm)],[])).
% 8.41/5.99 tff(11133,plain,
% 8.41/5.99 ((~![B: $i] : ((~less_3(B)) | (v123(constB14, B) <=> v121(constB13, B)))) | (~less_3(bitIndex1)) | (v123(constB14, bitIndex1) <=> v121(constB13, bitIndex1))),
% 8.41/5.99 inference(modus_ponens,[status(thm)],[11132, 11131])).
% 8.41/5.99 tff(11134,plain,
% 8.41/5.99 (v123(constB14, bitIndex1) <=> v121(constB13, bitIndex1)),
% 8.41/5.99 inference(unit_resolution,[status(thm)],[11133, 9785, 10984])).
% 8.41/5.99 tff(11135,plain,
% 8.41/5.99 (((~![B: $i] : ((~less_3(B)) | (v121(constB13, B) <=> v124(constB13, B)))) | ((~less_3(bitIndex1)) | (v121(constB13, bitIndex1) <=> v124(constB13, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB13, B) <=> v124(constB13, B)))) | (~less_3(bitIndex1)) | (v121(constB13, bitIndex1) <=> v124(constB13, bitIndex1)))),
% 8.41/5.99 inference(rewrite,[status(thm)],[])).
% 8.41/5.99 tff(11136,plain,
% 8.41/5.99 ((~![B: $i] : ((~less_3(B)) | (v121(constB13, B) <=> v124(constB13, B)))) | ((~less_3(bitIndex1)) | (v121(constB13, bitIndex1) <=> v124(constB13, bitIndex1)))),
% 8.41/5.99 inference(quant_inst,[status(thm)],[])).
% 8.41/5.99 tff(11137,plain,
% 8.41/5.99 ((~![B: $i] : ((~less_3(B)) | (v121(constB13, B) <=> v124(constB13, B)))) | (~less_3(bitIndex1)) | (v121(constB13, bitIndex1) <=> v124(constB13, bitIndex1))),
% 8.41/5.99 inference(modus_ponens,[status(thm)],[11136, 11135])).
% 8.41/5.99 tff(11138,plain,
% 8.41/5.99 (v121(constB13, bitIndex1) <=> v124(constB13, bitIndex1)),
% 8.41/5.99 inference(unit_resolution,[status(thm)],[11137, 9785, 10992])).
% 8.41/5.99 tff(11139,plain,
% 8.41/5.99 (((~![B: $i] : ((~less_3(B)) | (v124(constB13, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v124(constB13, bitIndex1) <=> b001(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB13, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v124(constB13, bitIndex1) <=> b001(bitIndex1)))),
% 8.41/5.99 inference(rewrite,[status(thm)],[])).
% 8.41/5.99 tff(11140,plain,
% 8.41/5.99 ((~![B: $i] : ((~less_3(B)) | (v124(constB13, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v124(constB13, bitIndex1) <=> b001(bitIndex1)))),
% 8.41/5.99 inference(quant_inst,[status(thm)],[])).
% 8.41/5.99 tff(11141,plain,
% 8.41/5.99 ((~![B: $i] : ((~less_3(B)) | (v124(constB13, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v124(constB13, bitIndex1) <=> b001(bitIndex1))),
% 8.41/5.99 inference(modus_ponens,[status(thm)],[11140, 11139])).
% 8.41/5.99 tff(11142,plain,
% 8.41/5.99 (v124(constB13, bitIndex1) <=> b001(bitIndex1)),
% 8.41/5.99 inference(unit_resolution,[status(thm)],[11141, 9785, 11076])).
% 8.41/5.99 tff(11143,plain,
% 8.41/5.99 ((~(v124(constB13, bitIndex1) <=> b001(bitIndex1))) | (~v124(constB13, bitIndex1)) | b001(bitIndex1)),
% 8.41/5.99 inference(tautology,[status(thm)],[])).
% 8.41/5.99 tff(11144,plain,
% 8.41/5.99 ((~(v124(constB13, bitIndex1) <=> b001(bitIndex1))) | (~v124(constB13, bitIndex1))),
% 8.41/5.99 inference(unit_resolution,[status(thm)],[11143, 10045])).
% 8.41/5.99 tff(11145,plain,
% 8.41/5.99 (~v124(constB13, bitIndex1)),
% 8.41/5.99 inference(unit_resolution,[status(thm)],[11144, 11142])).
% 8.41/5.99 tff(11146,plain,
% 8.41/5.99 ((~(v121(constB13, bitIndex1) <=> v124(constB13, bitIndex1))) | (~v121(constB13, bitIndex1)) | v124(constB13, bitIndex1)),
% 8.41/5.99 inference(tautology,[status(thm)],[])).
% 8.41/5.99 tff(11147,plain,
% 8.41/5.99 (~v121(constB13, bitIndex1)),
% 8.41/5.99 inference(unit_resolution,[status(thm)],[11146, 11145, 11138])).
% 8.41/5.99 tff(11148,plain,
% 8.41/5.99 ((~(v123(constB14, bitIndex1) <=> v121(constB13, bitIndex1))) | (~v123(constB14, bitIndex1)) | v121(constB13, bitIndex1)),
% 8.41/5.99 inference(tautology,[status(thm)],[])).
% 8.41/5.99 tff(11149,plain,
% 8.41/5.99 (~v123(constB14, bitIndex1)),
% 8.41/5.99 inference(unit_resolution,[status(thm)],[11148, 11147, 11134])).
% 8.41/5.99 tff(11150,plain,
% 8.41/5.99 ((~(v84(constB14, bitIndex1) <=> v123(constB14, bitIndex1))) | (~v84(constB14, bitIndex1)) | v123(constB14, bitIndex1)),
% 8.41/5.99 inference(tautology,[status(thm)],[])).
% 8.41/5.99 tff(11151,plain,
% 8.41/5.99 (~v84(constB14, bitIndex1)),
% 8.41/5.99 inference(unit_resolution,[status(thm)],[11150, 11149, 11130])).
% 8.41/5.99 tff(11152,plain,
% 8.41/5.99 ((~(v84(constB15, bitIndex1) <=> v84(constB14, bitIndex1))) | (~v84(constB15, bitIndex1)) | v84(constB14, bitIndex1)),
% 8.41/5.99 inference(tautology,[status(thm)],[])).
% 8.41/5.99 tff(11153,plain,
% 8.41/5.99 (~v84(constB15, bitIndex1)),
% 8.41/5.99 inference(unit_resolution,[status(thm)],[11152, 11151, 11126])).
% 8.41/5.99 tff(11154,plain,
% 8.41/5.99 ((~(v84(constB15, bitIndex2) | v84(constB15, bitIndex1) | (~v84(constB15, bitIndex0)))) | v84(constB15, bitIndex2) | v84(constB15, bitIndex1) | (~v84(constB15, bitIndex0))),
% 8.41/5.99 inference(tautology,[status(thm)],[])).
% 8.41/5.99 tff(11155,plain,
% 8.41/5.99 (~(v84(constB15, bitIndex2) | v84(constB15, bitIndex1) | (~v84(constB15, bitIndex0)))),
% 8.41/5.99 inference(unit_resolution,[status(thm)],[11154, 11153, 11122, 11091])).
% 8.41/5.99 tff(11156,plain,
% 8.41/5.99 ((~(v114(constB15) <=> (~(v84(constB15, bitIndex2) | v84(constB15, bitIndex1) | (~v84(constB15, bitIndex0)))))) | v114(constB15) | (v84(constB15, bitIndex2) | v84(constB15, bitIndex1) | (~v84(constB15, bitIndex0)))),
% 8.41/5.99 inference(tautology,[status(thm)],[])).
% 8.41/5.99 tff(11157,plain,
% 8.41/5.99 (v114(constB15)),
% 8.41/5.99 inference(unit_resolution,[status(thm)],[11156, 11155, 9089])).
% 8.41/5.99 tff(11158,plain,
% 8.41/5.99 ((v113(constB15) | v114(constB15)) | (~v114(constB15))),
% 8.41/5.99 inference(tautology,[status(thm)],[])).
% 8.41/5.99 tff(11159,plain,
% 8.41/5.99 (v113(constB15) | v114(constB15)),
% 8.41/5.99 inference(unit_resolution,[status(thm)],[11158, 11157])).
% 8.41/5.99 tff(11160,plain,
% 8.41/5.99 ((~(v112(constB15) <=> (v113(constB15) | v114(constB15)))) | v112(constB15) | (~(v113(constB15) | v114(constB15)))),
% 8.41/5.99 inference(tautology,[status(thm)],[])).
% 8.41/5.99 tff(11161,plain,
% 8.41/5.99 (v112(constB15)),
% 8.41/5.99 inference(unit_resolution,[status(thm)],[11160, 11159, 9082])).
% 8.41/5.99 tff(11162,plain,
% 8.41/5.99 ((v112(constB15) | v115(constB15)) | (~v112(constB15))),
% 8.41/5.99 inference(tautology,[status(thm)],[])).
% 8.41/5.99 tff(11163,plain,
% 8.41/5.99 (v112(constB15) | v115(constB15)),
% 8.41/5.99 inference(unit_resolution,[status(thm)],[11162, 11161])).
% 8.41/5.99 tff(11164,plain,
% 8.41/5.99 ((~(v111(constB15) <=> (v112(constB15) | v115(constB15)))) | v111(constB15) | (~(v112(constB15) | v115(constB15)))),
% 8.41/5.99 inference(tautology,[status(thm)],[])).
% 8.41/5.99 tff(11165,plain,
% 8.41/5.99 (v111(constB15)),
% 8.41/5.99 inference(unit_resolution,[status(thm)],[11164, 11163, 9080])).
% 8.41/5.99 tff(11166,plain,
% 8.41/5.99 ((v111(constB15) | v116(constB15)) | (~v111(constB15))),
% 8.41/5.99 inference(tautology,[status(thm)],[])).
% 8.41/5.99 tff(11167,plain,
% 8.41/5.99 (v111(constB15) | v116(constB15)),
% 8.41/5.99 inference(unit_resolution,[status(thm)],[11166, 11165])).
% 8.41/5.99 tff(11168,plain,
% 8.41/5.99 ((~(v110(constB15) <=> (v111(constB15) | v116(constB15)))) | v110(constB15) | (~(v111(constB15) | v116(constB15)))),
% 8.41/5.99 inference(tautology,[status(thm)],[])).
% 8.41/5.99 tff(11169,plain,
% 8.41/5.99 (v110(constB15)),
% 8.41/5.99 inference(unit_resolution,[status(thm)],[11168, 11167, 9078])).
% 8.41/5.99 tff(11170,plain,
% 8.41/5.99 ((v110(constB15) | v117(constB15)) | (~v110(constB15))),
% 8.41/5.99 inference(tautology,[status(thm)],[])).
% 8.41/5.99 tff(11171,plain,
% 8.41/5.99 (v110(constB15) | v117(constB15)),
% 8.41/5.99 inference(unit_resolution,[status(thm)],[11170, 11169])).
% 8.41/5.99 tff(11172,plain,
% 8.41/5.99 ((~(v109(constB15) <=> (v110(constB15) | v117(constB15)))) | v109(constB15) | (~(v110(constB15) | v117(constB15)))),
% 8.41/5.99 inference(tautology,[status(thm)],[])).
% 8.41/5.99 tff(11173,plain,
% 8.41/5.99 (v109(constB15)),
% 8.41/5.99 inference(unit_resolution,[status(thm)],[11172, 11171, 9076])).
% 8.41/5.99 tff(11174,plain,
% 8.41/5.99 ((v109(constB15) | v118(constB15)) | (~v109(constB15))),
% 8.41/5.99 inference(tautology,[status(thm)],[])).
% 8.41/5.99 tff(11175,plain,
% 8.41/5.99 (v109(constB15) | v118(constB15)),
% 8.41/5.99 inference(unit_resolution,[status(thm)],[11174, 11173])).
% 8.41/5.99 tff(11176,plain,
% 8.41/5.99 ((~(v108(constB15) <=> (v109(constB15) | v118(constB15)))) | v108(constB15) | (~(v109(constB15) | v118(constB15)))),
% 8.41/5.99 inference(tautology,[status(thm)],[])).
% 8.41/5.99 tff(11177,plain,
% 8.41/5.99 (v108(constB15)),
% 8.41/5.99 inference(unit_resolution,[status(thm)],[11176, 11175, 9074])).
% 8.41/5.99 tff(11178,plain,
% 8.41/5.99 ((v108(constB15) | v119(constB15)) | (~v108(constB15))),
% 8.41/5.99 inference(tautology,[status(thm)],[])).
% 8.41/5.99 tff(11179,plain,
% 8.41/5.99 (v108(constB15) | v119(constB15)),
% 8.41/5.99 inference(unit_resolution,[status(thm)],[11178, 11177])).
% 8.41/5.99 tff(11180,plain,
% 8.41/5.99 ((~(v107(constB15) <=> (v108(constB15) | v119(constB15)))) | v107(constB15) | (~(v108(constB15) | v119(constB15)))),
% 8.41/5.99 inference(tautology,[status(thm)],[])).
% 8.41/5.99 tff(11181,plain,
% 8.41/5.99 (v107(constB15)),
% 8.41/5.99 inference(unit_resolution,[status(thm)],[11180, 11179, 9072])).
% 8.41/5.99 tff(11182,plain,
% 8.41/5.99 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB15)) <=> v105(constB15))),
% 8.41/5.99 inference(quant_inst,[status(thm)],[])).
% 8.41/5.99 tff(11183,plain,
% 8.41/5.99 ((~v120(constB15)) <=> v105(constB15)),
% 8.41/5.99 inference(unit_resolution,[status(thm)],[11182, 9842])).
% 8.41/5.99 tff(11184,plain,
% 8.41/5.99 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB15) <=> v26(constB15))),
% 8.41/5.99 inference(quant_inst,[status(thm)],[])).
% 8.41/5.99 tff(11185,plain,
% 8.41/5.99 (v105(constB15) <=> v26(constB15)),
% 8.41/5.99 inference(unit_resolution,[status(thm)],[11184, 9854])).
% 8.41/6.00 tff(11186,plain,
% 8.41/6.00 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB15))),
% 8.41/6.00 inference(quant_inst,[status(thm)],[])).
% 8.41/6.00 tff(11187,plain,
% 8.41/6.00 (~v26(constB15)),
% 8.41/6.00 inference(unit_resolution,[status(thm)],[11186, 9866])).
% 8.41/6.00 tff(11188,plain,
% 8.41/6.00 ((~(v105(constB15) <=> v26(constB15))) | (~v105(constB15)) | v26(constB15)),
% 8.41/6.00 inference(tautology,[status(thm)],[])).
% 8.41/6.00 tff(11189,plain,
% 8.41/6.00 ((~(v105(constB15) <=> v26(constB15))) | (~v105(constB15))),
% 8.41/6.00 inference(unit_resolution,[status(thm)],[11188, 11187])).
% 8.41/6.00 tff(11190,plain,
% 8.41/6.00 (~v105(constB15)),
% 8.41/6.00 inference(unit_resolution,[status(thm)],[11189, 11185])).
% 8.41/6.00 tff(11191,plain,
% 8.41/6.00 ((~((~v120(constB15)) <=> v105(constB15))) | v120(constB15) | v105(constB15)),
% 8.41/6.00 inference(tautology,[status(thm)],[])).
% 8.41/6.00 tff(11192,plain,
% 8.41/6.00 ((~((~v120(constB15)) <=> v105(constB15))) | v120(constB15)),
% 8.41/6.00 inference(unit_resolution,[status(thm)],[11191, 11190])).
% 8.41/6.00 tff(11193,plain,
% 8.41/6.00 (v120(constB15)),
% 8.41/6.00 inference(unit_resolution,[status(thm)],[11192, 11183])).
% 8.41/6.00 tff(11194,plain,
% 8.41/6.00 ((~((~v107(constB15)) | (~v120(constB15)))) | (~v107(constB15)) | (~v120(constB15))),
% 8.48/6.00 inference(tautology,[status(thm)],[])).
% 8.48/6.00 tff(11195,plain,
% 8.48/6.00 ((~((~v107(constB15)) | (~v120(constB15)))) | (~v107(constB15))),
% 8.48/6.00 inference(unit_resolution,[status(thm)],[11194, 11193])).
% 8.48/6.00 tff(11196,plain,
% 8.48/6.00 (~((~v107(constB15)) | (~v120(constB15)))),
% 8.48/6.00 inference(unit_resolution,[status(thm)],[11195, 11181])).
% 8.48/6.00 tff(11197,plain,
% 8.48/6.00 ((~(v106(constB15) <=> (~((~v107(constB15)) | (~v120(constB15)))))) | v106(constB15) | ((~v107(constB15)) | (~v120(constB15)))),
% 8.48/6.00 inference(tautology,[status(thm)],[])).
% 8.48/6.00 tff(11198,plain,
% 8.48/6.00 (v106(constB15)),
% 8.48/6.00 inference(unit_resolution,[status(thm)],[11197, 11196, 9070])).
% 8.48/6.00 tff(11199,plain,
% 8.48/6.00 ((v105(constB15) | v106(constB15)) | (~v106(constB15))),
% 8.48/6.00 inference(tautology,[status(thm)],[])).
% 8.48/6.00 tff(11200,plain,
% 8.48/6.00 (v105(constB15) | v106(constB15)),
% 8.48/6.00 inference(unit_resolution,[status(thm)],[11199, 11198])).
% 8.48/6.00 tff(11201,plain,
% 8.48/6.00 ((~(v102(constB15) <=> (v105(constB15) | v106(constB15)))) | v102(constB15) | (~(v105(constB15) | v106(constB15)))),
% 8.48/6.00 inference(tautology,[status(thm)],[])).
% 8.48/6.00 tff(11202,plain,
% 8.48/6.00 (v102(constB15)),
% 8.48/6.00 inference(unit_resolution,[status(thm)],[11201, 11200, 9068])).
% 8.48/6.00 tff(11203,plain,
% 8.48/6.00 ((~(v104(constB16) <=> v102(constB15))) | v104(constB16) | (~v102(constB15))),
% 8.48/6.00 inference(tautology,[status(thm)],[])).
% 8.48/6.00 tff(11204,plain,
% 8.48/6.00 (v104(constB16)),
% 8.48/6.00 inference(unit_resolution,[status(thm)],[11203, 11202, 9066])).
% 8.48/6.00 tff(11205,plain,
% 8.48/6.00 ((~((~v104(constB16)) | (~v95(constB16)))) | (~v104(constB16)) | (~v95(constB16))),
% 8.48/6.00 inference(tautology,[status(thm)],[])).
% 8.48/6.00 tff(11206,plain,
% 8.48/6.00 (~((~v104(constB16)) | (~v95(constB16)))),
% 8.48/6.00 inference(unit_resolution,[status(thm)],[11205, 11204, 9062])).
% 8.48/6.00 tff(11207,plain,
% 8.48/6.00 ((~(v94(constB16) <=> (~((~v104(constB16)) | (~v95(constB16)))))) | v94(constB16) | ((~v104(constB16)) | (~v95(constB16)))),
% 8.48/6.00 inference(tautology,[status(thm)],[])).
% 8.48/6.00 tff(11208,plain,
% 8.48/6.00 (v94(constB16)),
% 8.48/6.00 inference(unit_resolution,[status(thm)],[11207, 11206, 9031])).
% 8.48/6.00 tff(11209,plain,
% 8.48/6.00 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB16)) | ![B: $i] : ((~less_3(B)) | (v84(constB16, B) <=> v123(constB16, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB16)) | ![B: $i] : ((~less_3(B)) | (v84(constB16, B) <=> v123(constB16, B))))),
% 8.48/6.00 inference(rewrite,[status(thm)],[])).
% 8.48/6.00 tff(11210,plain,
% 8.48/6.00 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB16)) | ![B: $i] : ((~less_3(B)) | (v84(constB16, B) <=> v123(constB16, B))))),
% 8.48/6.00 inference(quant_inst,[status(thm)],[])).
% 8.48/6.00 tff(11211,plain,
% 8.48/6.00 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB16)) | ![B: $i] : ((~less_3(B)) | (v84(constB16, B) <=> v123(constB16, B)))),
% 8.48/6.00 inference(modus_ponens,[status(thm)],[11210, 11209])).
% 8.48/6.00 tff(11212,plain,
% 8.48/6.00 ((~v94(constB16)) | ![B: $i] : ((~less_3(B)) | (v84(constB16, B) <=> v123(constB16, B)))),
% 8.48/6.00 inference(unit_resolution,[status(thm)],[11211, 9902])).
% 8.48/6.00 tff(11213,plain,
% 8.48/6.00 (![B: $i] : ((~less_3(B)) | (v84(constB16, B) <=> v123(constB16, B)))),
% 8.48/6.00 inference(unit_resolution,[status(thm)],[11212, 11208])).
% 8.48/6.00 tff(11214,plain,
% 8.48/6.00 (((~![B: $i] : ((~less_3(B)) | (v84(constB16, B) <=> v123(constB16, B)))) | ((~less_3(bitIndex2)) | (v84(constB16, bitIndex2) <=> v123(constB16, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB16, B) <=> v123(constB16, B)))) | (~less_3(bitIndex2)) | (v84(constB16, bitIndex2) <=> v123(constB16, bitIndex2)))),
% 8.48/6.00 inference(rewrite,[status(thm)],[])).
% 8.48/6.00 tff(11215,plain,
% 8.48/6.00 ((~![B: $i] : ((~less_3(B)) | (v84(constB16, B) <=> v123(constB16, B)))) | ((~less_3(bitIndex2)) | (v84(constB16, bitIndex2) <=> v123(constB16, bitIndex2)))),
% 8.48/6.00 inference(quant_inst,[status(thm)],[])).
% 8.48/6.00 tff(11216,plain,
% 8.48/6.00 ((~![B: $i] : ((~less_3(B)) | (v84(constB16, B) <=> v123(constB16, B)))) | (~less_3(bitIndex2)) | (v84(constB16, bitIndex2) <=> v123(constB16, bitIndex2))),
% 8.48/6.00 inference(modus_ponens,[status(thm)],[11215, 11214])).
% 8.48/6.00 tff(11217,plain,
% 8.48/6.00 (v84(constB16, bitIndex2) <=> v123(constB16, bitIndex2)),
% 8.48/6.00 inference(unit_resolution,[status(thm)],[11216, 832, 11213])).
% 8.48/6.00 tff(11218,plain,
% 8.48/6.00 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB15, constB16)) | ![B: $i] : ((~less_3(B)) | (v123(constB16, B) <=> v121(constB15, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB15, constB16)) | ![B: $i] : ((~less_3(B)) | (v123(constB16, B) <=> v121(constB15, B))))),
% 8.48/6.00 inference(rewrite,[status(thm)],[])).
% 8.48/6.00 tff(11219,plain,
% 8.48/6.00 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB15, constB16)) | ![B: $i] : ((~less_3(B)) | (v123(constB16, B) <=> v121(constB15, B))))),
% 8.48/6.00 inference(quant_inst,[status(thm)],[])).
% 8.48/6.00 tff(11220,plain,
% 8.48/6.00 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB15, constB16)) | ![B: $i] : ((~less_3(B)) | (v123(constB16, B) <=> v121(constB15, B)))),
% 8.48/6.00 inference(modus_ponens,[status(thm)],[11219, 11218])).
% 8.48/6.00 tff(11221,plain,
% 8.48/6.00 (![B: $i] : ((~less_3(B)) | (v123(constB16, B) <=> v121(constB15, B)))),
% 8.48/6.00 inference(unit_resolution,[status(thm)],[11220, 9027, 9924])).
% 8.48/6.00 tff(11222,plain,
% 8.48/6.00 (((~![B: $i] : ((~less_3(B)) | (v123(constB16, B) <=> v121(constB15, B)))) | ((~less_3(bitIndex2)) | (v123(constB16, bitIndex2) <=> v121(constB15, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB16, B) <=> v121(constB15, B)))) | (~less_3(bitIndex2)) | (v123(constB16, bitIndex2) <=> v121(constB15, bitIndex2)))),
% 8.48/6.00 inference(rewrite,[status(thm)],[])).
% 8.48/6.00 tff(11223,plain,
% 8.48/6.00 ((~![B: $i] : ((~less_3(B)) | (v123(constB16, B) <=> v121(constB15, B)))) | ((~less_3(bitIndex2)) | (v123(constB16, bitIndex2) <=> v121(constB15, bitIndex2)))),
% 8.48/6.00 inference(quant_inst,[status(thm)],[])).
% 8.48/6.00 tff(11224,plain,
% 8.48/6.00 ((~![B: $i] : ((~less_3(B)) | (v123(constB16, B) <=> v121(constB15, B)))) | (~less_3(bitIndex2)) | (v123(constB16, bitIndex2) <=> v121(constB15, bitIndex2))),
% 8.48/6.00 inference(modus_ponens,[status(thm)],[11223, 11222])).
% 8.48/6.00 tff(11225,plain,
% 8.48/6.00 (v123(constB16, bitIndex2) <=> v121(constB15, bitIndex2)),
% 8.48/6.00 inference(unit_resolution,[status(thm)],[11224, 832, 11221])).
% 8.48/6.00 tff(11226,plain,
% 8.48/6.00 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB15) | ![B: $i] : ((~less_3(B)) | (v121(constB15, B) <=> v124(constB15, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB15) | ![B: $i] : ((~less_3(B)) | (v121(constB15, B) <=> v124(constB15, B))))),
% 8.48/6.00 inference(rewrite,[status(thm)],[])).
% 8.48/6.00 tff(11227,plain,
% 8.48/6.00 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB15) | ![B: $i] : ((~less_3(B)) | (v121(constB15, B) <=> v124(constB15, B))))),
% 8.48/6.00 inference(quant_inst,[status(thm)],[])).
% 8.48/6.00 tff(11228,plain,
% 8.48/6.00 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB15) | ![B: $i] : ((~less_3(B)) | (v121(constB15, B) <=> v124(constB15, B)))),
% 8.48/6.00 inference(modus_ponens,[status(thm)],[11227, 11226])).
% 8.48/6.00 tff(11229,plain,
% 8.48/6.00 (![B: $i] : ((~less_3(B)) | (v121(constB15, B) <=> v124(constB15, B)))),
% 8.48/6.00 inference(unit_resolution,[status(thm)],[11228, 9945, 11190])).
% 8.48/6.00 tff(11230,plain,
% 8.48/6.00 (((~![B: $i] : ((~less_3(B)) | (v121(constB15, B) <=> v124(constB15, B)))) | ((~less_3(bitIndex2)) | (v121(constB15, bitIndex2) <=> v124(constB15, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB15, B) <=> v124(constB15, B)))) | (~less_3(bitIndex2)) | (v121(constB15, bitIndex2) <=> v124(constB15, bitIndex2)))),
% 8.48/6.00 inference(rewrite,[status(thm)],[])).
% 8.48/6.00 tff(11231,plain,
% 8.48/6.00 ((~![B: $i] : ((~less_3(B)) | (v121(constB15, B) <=> v124(constB15, B)))) | ((~less_3(bitIndex2)) | (v121(constB15, bitIndex2) <=> v124(constB15, bitIndex2)))),
% 8.48/6.00 inference(quant_inst,[status(thm)],[])).
% 8.48/6.00 tff(11232,plain,
% 8.48/6.00 ((~![B: $i] : ((~less_3(B)) | (v121(constB15, B) <=> v124(constB15, B)))) | (~less_3(bitIndex2)) | (v121(constB15, bitIndex2) <=> v124(constB15, bitIndex2))),
% 8.48/6.00 inference(modus_ponens,[status(thm)],[11231, 11230])).
% 8.48/6.00 tff(11233,plain,
% 8.48/6.00 (v121(constB15, bitIndex2) <=> v124(constB15, bitIndex2)),
% 8.48/6.00 inference(unit_resolution,[status(thm)],[11232, 832, 11229])).
% 8.48/6.00 tff(11234,plain,
% 8.48/6.00 (((~![VarCurr: $i] : ((~v114(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b010(B))))) | ((~v114(constB15)) | ![B: $i] : ((~less_3(B)) | (v124(constB15, B) <=> b010(B))))) <=> ((~![VarCurr: $i] : ((~v114(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b010(B))))) | (~v114(constB15)) | ![B: $i] : ((~less_3(B)) | (v124(constB15, B) <=> b010(B))))),
% 8.48/6.00 inference(rewrite,[status(thm)],[])).
% 8.48/6.00 tff(11235,plain,
% 8.48/6.00 ((~![VarCurr: $i] : ((~v114(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b010(B))))) | ((~v114(constB15)) | ![B: $i] : ((~less_3(B)) | (v124(constB15, B) <=> b010(B))))),
% 8.48/6.00 inference(quant_inst,[status(thm)],[])).
% 8.48/6.00 tff(11236,plain,
% 8.48/6.00 ((~![VarCurr: $i] : ((~v114(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b010(B))))) | (~v114(constB15)) | ![B: $i] : ((~less_3(B)) | (v124(constB15, B) <=> b010(B)))),
% 8.48/6.00 inference(modus_ponens,[status(thm)],[11235, 11234])).
% 8.48/6.00 tff(11237,plain,
% 8.48/6.00 ((~v114(constB15)) | ![B: $i] : ((~less_3(B)) | (v124(constB15, B) <=> b010(B)))),
% 8.48/6.00 inference(unit_resolution,[status(thm)],[11236, 10149])).
% 8.48/6.00 tff(11238,plain,
% 8.48/6.00 (![B: $i] : ((~less_3(B)) | (v124(constB15, B) <=> b010(B)))),
% 8.48/6.00 inference(unit_resolution,[status(thm)],[11237, 11157])).
% 8.48/6.00 tff(11239,plain,
% 8.48/6.00 (((~![B: $i] : ((~less_3(B)) | (v124(constB15, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v124(constB15, bitIndex2) <=> b010(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB15, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v124(constB15, bitIndex2) <=> b010(bitIndex2)))),
% 8.48/6.00 inference(rewrite,[status(thm)],[])).
% 8.48/6.00 tff(11240,plain,
% 8.48/6.00 ((~![B: $i] : ((~less_3(B)) | (v124(constB15, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v124(constB15, bitIndex2) <=> b010(bitIndex2)))),
% 8.48/6.00 inference(quant_inst,[status(thm)],[])).
% 8.48/6.00 tff(11241,plain,
% 8.48/6.00 ((~![B: $i] : ((~less_3(B)) | (v124(constB15, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v124(constB15, bitIndex2) <=> b010(bitIndex2))),
% 8.48/6.00 inference(modus_ponens,[status(thm)],[11240, 11239])).
% 8.48/6.00 tff(11242,plain,
% 8.48/6.00 (v124(constB15, bitIndex2) <=> b010(bitIndex2)),
% 8.48/6.00 inference(unit_resolution,[status(thm)],[11241, 832, 11238])).
% 8.48/6.00 tff(11243,plain,
% 8.48/6.00 ((~(v124(constB15, bitIndex2) <=> b010(bitIndex2))) | (~v124(constB15, bitIndex2)) | b010(bitIndex2)),
% 8.48/6.00 inference(tautology,[status(thm)],[])).
% 8.48/6.00 tff(11244,plain,
% 8.48/6.00 ((~(v124(constB15, bitIndex2) <=> b010(bitIndex2))) | (~v124(constB15, bitIndex2))),
% 8.48/6.00 inference(unit_resolution,[status(thm)],[11243, 10161])).
% 8.48/6.00 tff(11245,plain,
% 8.48/6.00 (~v124(constB15, bitIndex2)),
% 8.48/6.00 inference(unit_resolution,[status(thm)],[11244, 11242])).
% 8.48/6.00 tff(11246,plain,
% 8.48/6.00 ((~(v121(constB15, bitIndex2) <=> v124(constB15, bitIndex2))) | (~v121(constB15, bitIndex2)) | v124(constB15, bitIndex2)),
% 8.48/6.00 inference(tautology,[status(thm)],[])).
% 8.48/6.00 tff(11247,plain,
% 8.48/6.00 (~v121(constB15, bitIndex2)),
% 8.48/6.00 inference(unit_resolution,[status(thm)],[11246, 11245, 11233])).
% 8.48/6.00 tff(11248,plain,
% 8.48/6.00 ((~(v123(constB16, bitIndex2) <=> v121(constB15, bitIndex2))) | (~v123(constB16, bitIndex2)) | v121(constB15, bitIndex2)),
% 8.48/6.00 inference(tautology,[status(thm)],[])).
% 8.48/6.00 tff(11249,plain,
% 8.48/6.00 (~v123(constB16, bitIndex2)),
% 8.48/6.00 inference(unit_resolution,[status(thm)],[11248, 11247, 11225])).
% 8.48/6.00 tff(11250,plain,
% 8.48/6.00 ((~(v84(constB16, bitIndex2) <=> v123(constB16, bitIndex2))) | (~v84(constB16, bitIndex2)) | v123(constB16, bitIndex2)),
% 8.48/6.00 inference(tautology,[status(thm)],[])).
% 8.48/6.00 tff(11251,plain,
% 8.48/6.00 (~v84(constB16, bitIndex2)),
% 8.48/6.00 inference(unit_resolution,[status(thm)],[11250, 11249, 11217])).
% 8.48/6.00 tff(11252,plain,
% 8.48/6.00 ((~(v84(constB17, bitIndex2) <=> v84(constB16, bitIndex2))) | (~v84(constB17, bitIndex2)) | v84(constB16, bitIndex2)),
% 8.48/6.00 inference(tautology,[status(thm)],[])).
% 8.48/6.00 tff(11253,plain,
% 8.48/6.00 (~v84(constB17, bitIndex2)),
% 8.48/6.00 inference(unit_resolution,[status(thm)],[11252, 11251, 9024])).
% 8.48/6.00 tff(11254,plain,
% 8.48/6.00 (((~![B: $i] : ((~less_3(B)) | (v84(constB17, B) <=> v84(constB16, B)))) | ((~less_3(bitIndex0)) | (v84(constB17, bitIndex0) <=> v84(constB16, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB17, B) <=> v84(constB16, B)))) | (~less_3(bitIndex0)) | (v84(constB17, bitIndex0) <=> v84(constB16, bitIndex0)))),
% 8.48/6.00 inference(rewrite,[status(thm)],[])).
% 8.48/6.00 tff(11255,plain,
% 8.48/6.00 ((~![B: $i] : ((~less_3(B)) | (v84(constB17, B) <=> v84(constB16, B)))) | ((~less_3(bitIndex0)) | (v84(constB17, bitIndex0) <=> v84(constB16, bitIndex0)))),
% 8.48/6.00 inference(quant_inst,[status(thm)],[])).
% 8.48/6.00 tff(11256,plain,
% 8.48/6.00 ((~![B: $i] : ((~less_3(B)) | (v84(constB17, B) <=> v84(constB16, B)))) | (~less_3(bitIndex0)) | (v84(constB17, bitIndex0) <=> v84(constB16, bitIndex0))),
% 8.48/6.00 inference(modus_ponens,[status(thm)],[11255, 11254])).
% 8.48/6.00 tff(11257,plain,
% 8.48/6.00 (v84(constB17, bitIndex0) <=> v84(constB16, bitIndex0)),
% 8.48/6.00 inference(unit_resolution,[status(thm)],[11256, 9772, 9020])).
% 8.48/6.00 tff(11258,plain,
% 8.48/6.00 (((~![B: $i] : ((~less_3(B)) | (v84(constB16, B) <=> v123(constB16, B)))) | ((~less_3(bitIndex0)) | (v84(constB16, bitIndex0) <=> v123(constB16, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB16, B) <=> v123(constB16, B)))) | (~less_3(bitIndex0)) | (v84(constB16, bitIndex0) <=> v123(constB16, bitIndex0)))),
% 8.48/6.00 inference(rewrite,[status(thm)],[])).
% 8.48/6.00 tff(11259,plain,
% 8.48/6.00 ((~![B: $i] : ((~less_3(B)) | (v84(constB16, B) <=> v123(constB16, B)))) | ((~less_3(bitIndex0)) | (v84(constB16, bitIndex0) <=> v123(constB16, bitIndex0)))),
% 8.48/6.00 inference(quant_inst,[status(thm)],[])).
% 8.48/6.00 tff(11260,plain,
% 8.48/6.00 ((~![B: $i] : ((~less_3(B)) | (v84(constB16, B) <=> v123(constB16, B)))) | (~less_3(bitIndex0)) | (v84(constB16, bitIndex0) <=> v123(constB16, bitIndex0))),
% 8.48/6.00 inference(modus_ponens,[status(thm)],[11259, 11258])).
% 8.48/6.00 tff(11261,plain,
% 8.48/6.00 (v84(constB16, bitIndex0) <=> v123(constB16, bitIndex0)),
% 8.48/6.00 inference(unit_resolution,[status(thm)],[11260, 9772, 11213])).
% 8.48/6.00 tff(11262,plain,
% 8.48/6.00 (((~![B: $i] : ((~less_3(B)) | (v123(constB16, B) <=> v121(constB15, B)))) | ((~less_3(bitIndex0)) | (v123(constB16, bitIndex0) <=> v121(constB15, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB16, B) <=> v121(constB15, B)))) | (~less_3(bitIndex0)) | (v123(constB16, bitIndex0) <=> v121(constB15, bitIndex0)))),
% 8.48/6.00 inference(rewrite,[status(thm)],[])).
% 8.48/6.00 tff(11263,plain,
% 8.48/6.00 ((~![B: $i] : ((~less_3(B)) | (v123(constB16, B) <=> v121(constB15, B)))) | ((~less_3(bitIndex0)) | (v123(constB16, bitIndex0) <=> v121(constB15, bitIndex0)))),
% 8.48/6.00 inference(quant_inst,[status(thm)],[])).
% 8.48/6.00 tff(11264,plain,
% 8.48/6.00 ((~![B: $i] : ((~less_3(B)) | (v123(constB16, B) <=> v121(constB15, B)))) | (~less_3(bitIndex0)) | (v123(constB16, bitIndex0) <=> v121(constB15, bitIndex0))),
% 8.48/6.00 inference(modus_ponens,[status(thm)],[11263, 11262])).
% 8.48/6.00 tff(11265,plain,
% 8.48/6.00 (v123(constB16, bitIndex0) <=> v121(constB15, bitIndex0)),
% 8.48/6.00 inference(unit_resolution,[status(thm)],[11264, 9772, 11221])).
% 8.48/6.00 tff(11266,plain,
% 8.48/6.00 (((~![B: $i] : ((~less_3(B)) | (v121(constB15, B) <=> v124(constB15, B)))) | ((~less_3(bitIndex0)) | (v121(constB15, bitIndex0) <=> v124(constB15, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB15, B) <=> v124(constB15, B)))) | (~less_3(bitIndex0)) | (v121(constB15, bitIndex0) <=> v124(constB15, bitIndex0)))),
% 8.48/6.00 inference(rewrite,[status(thm)],[])).
% 8.48/6.00 tff(11267,plain,
% 8.48/6.00 ((~![B: $i] : ((~less_3(B)) | (v121(constB15, B) <=> v124(constB15, B)))) | ((~less_3(bitIndex0)) | (v121(constB15, bitIndex0) <=> v124(constB15, bitIndex0)))),
% 8.48/6.00 inference(quant_inst,[status(thm)],[])).
% 8.48/6.00 tff(11268,plain,
% 8.48/6.00 ((~![B: $i] : ((~less_3(B)) | (v121(constB15, B) <=> v124(constB15, B)))) | (~less_3(bitIndex0)) | (v121(constB15, bitIndex0) <=> v124(constB15, bitIndex0))),
% 8.48/6.00 inference(modus_ponens,[status(thm)],[11267, 11266])).
% 8.48/6.00 tff(11269,plain,
% 8.48/6.00 (v121(constB15, bitIndex0) <=> v124(constB15, bitIndex0)),
% 8.48/6.00 inference(unit_resolution,[status(thm)],[11268, 9772, 11229])).
% 8.48/6.00 tff(11270,plain,
% 8.48/6.00 (((~![B: $i] : ((~less_3(B)) | (v124(constB15, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v124(constB15, bitIndex0) <=> b010(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB15, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v124(constB15, bitIndex0) <=> b010(bitIndex0)))),
% 8.48/6.00 inference(rewrite,[status(thm)],[])).
% 8.48/6.00 tff(11271,plain,
% 8.48/6.00 ((~![B: $i] : ((~less_3(B)) | (v124(constB15, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v124(constB15, bitIndex0) <=> b010(bitIndex0)))),
% 8.48/6.00 inference(quant_inst,[status(thm)],[])).
% 8.48/6.00 tff(11272,plain,
% 8.48/6.00 ((~![B: $i] : ((~less_3(B)) | (v124(constB15, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v124(constB15, bitIndex0) <=> b010(bitIndex0))),
% 8.48/6.00 inference(modus_ponens,[status(thm)],[11271, 11270])).
% 8.48/6.00 tff(11273,plain,
% 8.48/6.00 (v124(constB15, bitIndex0) <=> b010(bitIndex0)),
% 8.48/6.00 inference(unit_resolution,[status(thm)],[11272, 9772, 11238])).
% 8.48/6.00 tff(11274,plain,
% 8.48/6.00 ((~(v124(constB15, bitIndex0) <=> b010(bitIndex0))) | (~v124(constB15, bitIndex0)) | b010(bitIndex0)),
% 8.48/6.00 inference(tautology,[status(thm)],[])).
% 8.48/6.00 tff(11275,plain,
% 8.48/6.00 ((~(v124(constB15, bitIndex0) <=> b010(bitIndex0))) | (~v124(constB15, bitIndex0))),
% 8.48/6.00 inference(unit_resolution,[status(thm)],[11274, 10195])).
% 8.48/6.00 tff(11276,plain,
% 8.48/6.00 (~v124(constB15, bitIndex0)),
% 8.48/6.00 inference(unit_resolution,[status(thm)],[11275, 11273])).
% 8.48/6.00 tff(11277,plain,
% 8.48/6.00 ((~(v121(constB15, bitIndex0) <=> v124(constB15, bitIndex0))) | (~v121(constB15, bitIndex0)) | v124(constB15, bitIndex0)),
% 8.48/6.00 inference(tautology,[status(thm)],[])).
% 8.48/6.00 tff(11278,plain,
% 8.48/6.00 (~v121(constB15, bitIndex0)),
% 8.48/6.00 inference(unit_resolution,[status(thm)],[11277, 11276, 11269])).
% 8.48/6.00 tff(11279,plain,
% 8.48/6.00 ((~(v123(constB16, bitIndex0) <=> v121(constB15, bitIndex0))) | (~v123(constB16, bitIndex0)) | v121(constB15, bitIndex0)),
% 8.48/6.00 inference(tautology,[status(thm)],[])).
% 8.48/6.00 tff(11280,plain,
% 8.48/6.00 (~v123(constB16, bitIndex0)),
% 8.48/6.00 inference(unit_resolution,[status(thm)],[11279, 11278, 11265])).
% 8.48/6.00 tff(11281,plain,
% 8.48/6.00 ((~(v84(constB16, bitIndex0) <=> v123(constB16, bitIndex0))) | (~v84(constB16, bitIndex0)) | v123(constB16, bitIndex0)),
% 8.48/6.00 inference(tautology,[status(thm)],[])).
% 8.48/6.00 tff(11282,plain,
% 8.48/6.00 (~v84(constB16, bitIndex0)),
% 8.48/6.00 inference(unit_resolution,[status(thm)],[11281, 11280, 11261])).
% 8.48/6.00 tff(11283,plain,
% 8.48/6.00 ((~(v84(constB17, bitIndex0) <=> v84(constB16, bitIndex0))) | (~v84(constB17, bitIndex0)) | v84(constB16, bitIndex0)),
% 8.48/6.00 inference(tautology,[status(thm)],[])).
% 8.48/6.00 tff(11284,plain,
% 8.48/6.00 (~v84(constB17, bitIndex0)),
% 8.48/6.00 inference(unit_resolution,[status(thm)],[11283, 11282, 11257])).
% 8.48/6.00 tff(11285,plain,
% 8.48/6.00 (((~![B: $i] : ((~less_3(B)) | (v84(constB17, B) <=> v84(constB16, B)))) | ((~less_3(bitIndex1)) | (v84(constB17, bitIndex1) <=> v84(constB16, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB17, B) <=> v84(constB16, B)))) | (~less_3(bitIndex1)) | (v84(constB17, bitIndex1) <=> v84(constB16, bitIndex1)))),
% 8.48/6.00 inference(rewrite,[status(thm)],[])).
% 8.48/6.00 tff(11286,plain,
% 8.48/6.00 ((~![B: $i] : ((~less_3(B)) | (v84(constB17, B) <=> v84(constB16, B)))) | ((~less_3(bitIndex1)) | (v84(constB17, bitIndex1) <=> v84(constB16, bitIndex1)))),
% 8.48/6.00 inference(quant_inst,[status(thm)],[])).
% 8.48/6.00 tff(11287,plain,
% 8.48/6.00 ((~![B: $i] : ((~less_3(B)) | (v84(constB17, B) <=> v84(constB16, B)))) | (~less_3(bitIndex1)) | (v84(constB17, bitIndex1) <=> v84(constB16, bitIndex1))),
% 8.48/6.00 inference(modus_ponens,[status(thm)],[11286, 11285])).
% 8.48/6.00 tff(11288,plain,
% 8.48/6.00 (v84(constB17, bitIndex1) <=> v84(constB16, bitIndex1)),
% 8.48/6.00 inference(unit_resolution,[status(thm)],[11287, 9785, 9020])).
% 8.48/6.00 tff(11289,plain,
% 8.48/6.00 (((~![B: $i] : ((~less_3(B)) | (v84(constB16, B) <=> v123(constB16, B)))) | ((~less_3(bitIndex1)) | (v84(constB16, bitIndex1) <=> v123(constB16, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB16, B) <=> v123(constB16, B)))) | (~less_3(bitIndex1)) | (v84(constB16, bitIndex1) <=> v123(constB16, bitIndex1)))),
% 8.48/6.00 inference(rewrite,[status(thm)],[])).
% 8.48/6.00 tff(11290,plain,
% 8.48/6.00 ((~![B: $i] : ((~less_3(B)) | (v84(constB16, B) <=> v123(constB16, B)))) | ((~less_3(bitIndex1)) | (v84(constB16, bitIndex1) <=> v123(constB16, bitIndex1)))),
% 8.48/6.00 inference(quant_inst,[status(thm)],[])).
% 8.48/6.00 tff(11291,plain,
% 8.48/6.00 ((~![B: $i] : ((~less_3(B)) | (v84(constB16, B) <=> v123(constB16, B)))) | (~less_3(bitIndex1)) | (v84(constB16, bitIndex1) <=> v123(constB16, bitIndex1))),
% 8.48/6.00 inference(modus_ponens,[status(thm)],[11290, 11289])).
% 8.48/6.00 tff(11292,plain,
% 8.48/6.00 (v84(constB16, bitIndex1) <=> v123(constB16, bitIndex1)),
% 8.48/6.00 inference(unit_resolution,[status(thm)],[11291, 9785, 11213])).
% 8.48/6.00 tff(11293,plain,
% 8.48/6.00 (((~![B: $i] : ((~less_3(B)) | (v123(constB16, B) <=> v121(constB15, B)))) | ((~less_3(bitIndex1)) | (v123(constB16, bitIndex1) <=> v121(constB15, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB16, B) <=> v121(constB15, B)))) | (~less_3(bitIndex1)) | (v123(constB16, bitIndex1) <=> v121(constB15, bitIndex1)))),
% 8.48/6.00 inference(rewrite,[status(thm)],[])).
% 8.48/6.00 tff(11294,plain,
% 8.48/6.00 ((~![B: $i] : ((~less_3(B)) | (v123(constB16, B) <=> v121(constB15, B)))) | ((~less_3(bitIndex1)) | (v123(constB16, bitIndex1) <=> v121(constB15, bitIndex1)))),
% 8.48/6.00 inference(quant_inst,[status(thm)],[])).
% 8.48/6.00 tff(11295,plain,
% 8.48/6.00 ((~![B: $i] : ((~less_3(B)) | (v123(constB16, B) <=> v121(constB15, B)))) | (~less_3(bitIndex1)) | (v123(constB16, bitIndex1) <=> v121(constB15, bitIndex1))),
% 8.48/6.00 inference(modus_ponens,[status(thm)],[11294, 11293])).
% 8.48/6.00 tff(11296,plain,
% 8.48/6.00 (v123(constB16, bitIndex1) <=> v121(constB15, bitIndex1)),
% 8.48/6.00 inference(unit_resolution,[status(thm)],[11295, 9785, 11221])).
% 8.48/6.00 tff(11297,plain,
% 8.48/6.00 (((~![B: $i] : ((~less_3(B)) | (v121(constB15, B) <=> v124(constB15, B)))) | ((~less_3(bitIndex1)) | (v121(constB15, bitIndex1) <=> v124(constB15, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB15, B) <=> v124(constB15, B)))) | (~less_3(bitIndex1)) | (v121(constB15, bitIndex1) <=> v124(constB15, bitIndex1)))),
% 8.48/6.00 inference(rewrite,[status(thm)],[])).
% 8.48/6.00 tff(11298,plain,
% 8.48/6.00 ((~![B: $i] : ((~less_3(B)) | (v121(constB15, B) <=> v124(constB15, B)))) | ((~less_3(bitIndex1)) | (v121(constB15, bitIndex1) <=> v124(constB15, bitIndex1)))),
% 8.48/6.00 inference(quant_inst,[status(thm)],[])).
% 8.48/6.00 tff(11299,plain,
% 8.48/6.00 ((~![B: $i] : ((~less_3(B)) | (v121(constB15, B) <=> v124(constB15, B)))) | (~less_3(bitIndex1)) | (v121(constB15, bitIndex1) <=> v124(constB15, bitIndex1))),
% 8.48/6.00 inference(modus_ponens,[status(thm)],[11298, 11297])).
% 8.48/6.00 tff(11300,plain,
% 8.48/6.00 (v121(constB15, bitIndex1) <=> v124(constB15, bitIndex1)),
% 8.48/6.00 inference(unit_resolution,[status(thm)],[11299, 9785, 11229])).
% 8.48/6.00 tff(11301,plain,
% 8.48/6.00 (((~![B: $i] : ((~less_3(B)) | (v124(constB15, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v124(constB15, bitIndex1) <=> b010(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB15, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v124(constB15, bitIndex1) <=> b010(bitIndex1)))),
% 8.48/6.00 inference(rewrite,[status(thm)],[])).
% 8.48/6.00 tff(11302,plain,
% 8.48/6.00 ((~![B: $i] : ((~less_3(B)) | (v124(constB15, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v124(constB15, bitIndex1) <=> b010(bitIndex1)))),
% 8.48/6.00 inference(quant_inst,[status(thm)],[])).
% 8.48/6.00 tff(11303,plain,
% 8.48/6.00 ((~![B: $i] : ((~less_3(B)) | (v124(constB15, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v124(constB15, bitIndex1) <=> b010(bitIndex1))),
% 8.48/6.00 inference(modus_ponens,[status(thm)],[11302, 11301])).
% 8.48/6.00 tff(11304,plain,
% 8.48/6.00 (v124(constB15, bitIndex1) <=> b010(bitIndex1)),
% 8.48/6.00 inference(unit_resolution,[status(thm)],[11303, 9785, 11238])).
% 8.48/6.00 tff(11305,plain,
% 8.48/6.00 ((~(v124(constB15, bitIndex1) <=> b010(bitIndex1))) | v124(constB15, bitIndex1) | (~b010(bitIndex1))),
% 8.48/6.00 inference(tautology,[status(thm)],[])).
% 8.48/6.00 tff(11306,plain,
% 8.48/6.00 ((~(v124(constB15, bitIndex1) <=> b010(bitIndex1))) | v124(constB15, bitIndex1)),
% 8.48/6.00 inference(unit_resolution,[status(thm)],[11305, 10229])).
% 8.48/6.00 tff(11307,plain,
% 8.48/6.00 (v124(constB15, bitIndex1)),
% 8.48/6.00 inference(unit_resolution,[status(thm)],[11306, 11304])).
% 8.48/6.00 tff(11308,plain,
% 8.48/6.00 ((~(v121(constB15, bitIndex1) <=> v124(constB15, bitIndex1))) | v121(constB15, bitIndex1) | (~v124(constB15, bitIndex1))),
% 8.48/6.00 inference(tautology,[status(thm)],[])).
% 8.48/6.00 tff(11309,plain,
% 8.48/6.00 (v121(constB15, bitIndex1)),
% 8.48/6.00 inference(unit_resolution,[status(thm)],[11308, 11307, 11300])).
% 8.48/6.00 tff(11310,plain,
% 8.48/6.00 ((~(v123(constB16, bitIndex1) <=> v121(constB15, bitIndex1))) | v123(constB16, bitIndex1) | (~v121(constB15, bitIndex1))),
% 8.48/6.00 inference(tautology,[status(thm)],[])).
% 8.48/6.00 tff(11311,plain,
% 8.48/6.00 (v123(constB16, bitIndex1)),
% 8.48/6.00 inference(unit_resolution,[status(thm)],[11310, 11309, 11296])).
% 8.48/6.00 tff(11312,plain,
% 8.48/6.00 ((~(v84(constB16, bitIndex1) <=> v123(constB16, bitIndex1))) | v84(constB16, bitIndex1) | (~v123(constB16, bitIndex1))),
% 8.48/6.00 inference(tautology,[status(thm)],[])).
% 8.48/6.00 tff(11313,plain,
% 8.48/6.00 (v84(constB16, bitIndex1)),
% 8.48/6.00 inference(unit_resolution,[status(thm)],[11312, 11311, 11292])).
% 8.48/6.00 tff(11314,plain,
% 8.48/6.00 ((~(v84(constB17, bitIndex1) <=> v84(constB16, bitIndex1))) | v84(constB17, bitIndex1) | (~v84(constB16, bitIndex1))),
% 8.48/6.00 inference(tautology,[status(thm)],[])).
% 8.48/6.00 tff(11315,plain,
% 8.48/6.00 (v84(constB17, bitIndex1)),
% 8.48/6.00 inference(unit_resolution,[status(thm)],[11314, 11313, 11288])).
% 8.48/6.00 tff(11316,plain,
% 8.48/6.00 ((~(v84(constB17, bitIndex2) | (~v84(constB17, bitIndex1)) | v84(constB17, bitIndex0))) | v84(constB17, bitIndex2) | (~v84(constB17, bitIndex1)) | v84(constB17, bitIndex0)),
% 8.48/6.00 inference(tautology,[status(thm)],[])).
% 8.48/6.00 tff(11317,plain,
% 8.48/6.00 (~(v84(constB17, bitIndex2) | (~v84(constB17, bitIndex1)) | v84(constB17, bitIndex0))),
% 8.48/6.00 inference(unit_resolution,[status(thm)],[11316, 11315, 11284, 11253])).
% 8.48/6.00 tff(11318,plain,
% 8.48/6.00 ((~(v115(constB17) <=> (~(v84(constB17, bitIndex2) | (~v84(constB17, bitIndex1)) | v84(constB17, bitIndex0))))) | v115(constB17) | (v84(constB17, bitIndex2) | (~v84(constB17, bitIndex1)) | v84(constB17, bitIndex0))),
% 8.48/6.00 inference(tautology,[status(thm)],[])).
% 8.48/6.00 tff(11319,plain,
% 8.48/6.00 (v115(constB17)),
% 8.48/6.00 inference(unit_resolution,[status(thm)],[11318, 11317, 8992])).
% 8.48/6.00 tff(11320,plain,
% 8.48/6.00 ((v112(constB17) | v115(constB17)) | (~v115(constB17))),
% 8.48/6.00 inference(tautology,[status(thm)],[])).
% 8.48/6.00 tff(11321,plain,
% 8.48/6.00 (v112(constB17) | v115(constB17)),
% 8.48/6.00 inference(unit_resolution,[status(thm)],[11320, 11319])).
% 8.48/6.00 tff(11322,plain,
% 8.48/6.00 ((~(v111(constB17) <=> (v112(constB17) | v115(constB17)))) | v111(constB17) | (~(v112(constB17) | v115(constB17)))),
% 8.48/6.00 inference(tautology,[status(thm)],[])).
% 8.48/6.00 tff(11323,plain,
% 8.48/6.00 (v111(constB17)),
% 8.48/6.00 inference(unit_resolution,[status(thm)],[11322, 11321, 8985])).
% 8.48/6.00 tff(11324,plain,
% 8.48/6.00 ((v111(constB17) | v116(constB17)) | (~v111(constB17))),
% 8.48/6.00 inference(tautology,[status(thm)],[])).
% 8.48/6.00 tff(11325,plain,
% 8.48/6.00 (v111(constB17) | v116(constB17)),
% 8.48/6.00 inference(unit_resolution,[status(thm)],[11324, 11323])).
% 8.48/6.00 tff(11326,plain,
% 8.48/6.00 ((~(v110(constB17) <=> (v111(constB17) | v116(constB17)))) | v110(constB17) | (~(v111(constB17) | v116(constB17)))),
% 8.48/6.00 inference(tautology,[status(thm)],[])).
% 8.48/6.00 tff(11327,plain,
% 8.48/6.00 (v110(constB17)),
% 8.48/6.00 inference(unit_resolution,[status(thm)],[11326, 11325, 8983])).
% 8.48/6.00 tff(11328,plain,
% 8.48/6.00 ((v110(constB17) | v117(constB17)) | (~v110(constB17))),
% 8.48/6.00 inference(tautology,[status(thm)],[])).
% 8.48/6.00 tff(11329,plain,
% 8.48/6.00 (v110(constB17) | v117(constB17)),
% 8.48/6.00 inference(unit_resolution,[status(thm)],[11328, 11327])).
% 8.48/6.00 tff(11330,plain,
% 8.48/6.00 ((~(v109(constB17) <=> (v110(constB17) | v117(constB17)))) | v109(constB17) | (~(v110(constB17) | v117(constB17)))),
% 8.48/6.00 inference(tautology,[status(thm)],[])).
% 8.48/6.00 tff(11331,plain,
% 8.48/6.00 (v109(constB17)),
% 8.48/6.00 inference(unit_resolution,[status(thm)],[11330, 11329, 8981])).
% 8.48/6.00 tff(11332,plain,
% 8.48/6.00 ((v109(constB17) | v118(constB17)) | (~v109(constB17))),
% 8.48/6.00 inference(tautology,[status(thm)],[])).
% 8.48/6.00 tff(11333,plain,
% 8.48/6.00 (v109(constB17) | v118(constB17)),
% 8.48/6.00 inference(unit_resolution,[status(thm)],[11332, 11331])).
% 8.48/6.00 tff(11334,plain,
% 8.48/6.00 ((~(v108(constB17) <=> (v109(constB17) | v118(constB17)))) | v108(constB17) | (~(v109(constB17) | v118(constB17)))),
% 8.48/6.00 inference(tautology,[status(thm)],[])).
% 8.48/6.00 tff(11335,plain,
% 8.48/6.00 (v108(constB17)),
% 8.48/6.00 inference(unit_resolution,[status(thm)],[11334, 11333, 8979])).
% 8.48/6.00 tff(11336,plain,
% 8.48/6.00 ((v108(constB17) | v119(constB17)) | (~v108(constB17))),
% 8.48/6.00 inference(tautology,[status(thm)],[])).
% 8.48/6.00 tff(11337,plain,
% 8.48/6.00 (v108(constB17) | v119(constB17)),
% 8.48/6.00 inference(unit_resolution,[status(thm)],[11336, 11335])).
% 8.48/6.00 tff(11338,plain,
% 8.48/6.00 ((~(v107(constB17) <=> (v108(constB17) | v119(constB17)))) | v107(constB17) | (~(v108(constB17) | v119(constB17)))),
% 8.48/6.00 inference(tautology,[status(thm)],[])).
% 8.48/6.00 tff(11339,plain,
% 8.48/6.00 (v107(constB17)),
% 8.48/6.00 inference(unit_resolution,[status(thm)],[11338, 11337, 8977])).
% 8.48/6.00 tff(11340,plain,
% 8.48/6.00 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB17)) <=> v105(constB17))),
% 8.48/6.00 inference(quant_inst,[status(thm)],[])).
% 8.48/6.00 tff(11341,plain,
% 8.48/6.00 ((~v120(constB17)) <=> v105(constB17)),
% 8.48/6.00 inference(unit_resolution,[status(thm)],[11340, 9842])).
% 8.48/6.00 tff(11342,plain,
% 8.48/6.00 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB17) <=> v26(constB17))),
% 8.48/6.00 inference(quant_inst,[status(thm)],[])).
% 8.48/6.00 tff(11343,plain,
% 8.48/6.00 (v105(constB17) <=> v26(constB17)),
% 8.48/6.00 inference(unit_resolution,[status(thm)],[11342, 9854])).
% 8.48/6.00 tff(11344,plain,
% 8.48/6.00 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB17))),
% 8.48/6.00 inference(quant_inst,[status(thm)],[])).
% 8.48/6.00 tff(11345,plain,
% 8.48/6.00 (~v26(constB17)),
% 8.48/6.00 inference(unit_resolution,[status(thm)],[11344, 9866])).
% 8.48/6.00 tff(11346,plain,
% 8.48/6.00 ((~(v105(constB17) <=> v26(constB17))) | (~v105(constB17)) | v26(constB17)),
% 8.48/6.00 inference(tautology,[status(thm)],[])).
% 8.48/6.00 tff(11347,plain,
% 8.48/6.00 ((~(v105(constB17) <=> v26(constB17))) | (~v105(constB17))),
% 8.48/6.00 inference(unit_resolution,[status(thm)],[11346, 11345])).
% 8.48/6.00 tff(11348,plain,
% 8.48/6.00 (~v105(constB17)),
% 8.48/6.00 inference(unit_resolution,[status(thm)],[11347, 11343])).
% 8.48/6.00 tff(11349,plain,
% 8.48/6.00 ((~((~v120(constB17)) <=> v105(constB17))) | v120(constB17) | v105(constB17)),
% 8.48/6.00 inference(tautology,[status(thm)],[])).
% 8.48/6.00 tff(11350,plain,
% 8.48/6.00 ((~((~v120(constB17)) <=> v105(constB17))) | v120(constB17)),
% 8.48/6.00 inference(unit_resolution,[status(thm)],[11349, 11348])).
% 8.48/6.00 tff(11351,plain,
% 8.48/6.00 (v120(constB17)),
% 8.48/6.00 inference(unit_resolution,[status(thm)],[11350, 11341])).
% 8.48/6.00 tff(11352,plain,
% 8.48/6.00 ((~((~v107(constB17)) | (~v120(constB17)))) | (~v107(constB17)) | (~v120(constB17))),
% 8.48/6.00 inference(tautology,[status(thm)],[])).
% 8.48/6.00 tff(11353,plain,
% 8.48/6.00 ((~((~v107(constB17)) | (~v120(constB17)))) | (~v107(constB17))),
% 8.48/6.00 inference(unit_resolution,[status(thm)],[11352, 11351])).
% 8.48/6.00 tff(11354,plain,
% 8.48/6.00 (~((~v107(constB17)) | (~v120(constB17)))),
% 8.48/6.00 inference(unit_resolution,[status(thm)],[11353, 11339])).
% 8.48/6.00 tff(11355,plain,
% 8.48/6.00 ((~(v106(constB17) <=> (~((~v107(constB17)) | (~v120(constB17)))))) | v106(constB17) | ((~v107(constB17)) | (~v120(constB17)))),
% 8.48/6.00 inference(tautology,[status(thm)],[])).
% 8.48/6.00 tff(11356,plain,
% 8.48/6.00 (v106(constB17)),
% 8.48/6.00 inference(unit_resolution,[status(thm)],[11355, 11354, 8975])).
% 8.48/6.00 tff(11357,plain,
% 8.48/6.00 ((v105(constB17) | v106(constB17)) | (~v106(constB17))),
% 8.48/6.01 inference(tautology,[status(thm)],[])).
% 8.48/6.01 tff(11358,plain,
% 8.48/6.01 (v105(constB17) | v106(constB17)),
% 8.48/6.01 inference(unit_resolution,[status(thm)],[11357, 11356])).
% 8.48/6.01 tff(11359,plain,
% 8.48/6.01 ((~(v102(constB17) <=> (v105(constB17) | v106(constB17)))) | v102(constB17) | (~(v105(constB17) | v106(constB17)))),
% 8.48/6.01 inference(tautology,[status(thm)],[])).
% 8.48/6.01 tff(11360,plain,
% 8.48/6.01 (v102(constB17)),
% 8.48/6.01 inference(unit_resolution,[status(thm)],[11359, 11358, 8973])).
% 8.48/6.01 tff(11361,plain,
% 8.48/6.01 ((~(v104(constB18) <=> v102(constB17))) | v104(constB18) | (~v102(constB17))),
% 8.48/6.01 inference(tautology,[status(thm)],[])).
% 8.48/6.01 tff(11362,plain,
% 8.48/6.01 (v104(constB18)),
% 8.48/6.01 inference(unit_resolution,[status(thm)],[11361, 11360, 8971])).
% 8.48/6.01 tff(11363,plain,
% 8.48/6.01 ((~((~v104(constB18)) | (~v95(constB18)))) | (~v104(constB18)) | (~v95(constB18))),
% 8.48/6.01 inference(tautology,[status(thm)],[])).
% 8.48/6.01 tff(11364,plain,
% 8.48/6.01 (~((~v104(constB18)) | (~v95(constB18)))),
% 8.48/6.01 inference(unit_resolution,[status(thm)],[11363, 11362, 8967])).
% 8.48/6.01 tff(11365,plain,
% 8.48/6.01 ((~(v94(constB18) <=> (~((~v104(constB18)) | (~v95(constB18)))))) | v94(constB18) | ((~v104(constB18)) | (~v95(constB18)))),
% 8.48/6.01 inference(tautology,[status(thm)],[])).
% 8.48/6.01 tff(11366,plain,
% 8.48/6.01 (v94(constB18)),
% 8.48/6.01 inference(unit_resolution,[status(thm)],[11365, 11364, 8936])).
% 8.48/6.01 tff(11367,plain,
% 8.48/6.01 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB18)) | ![B: $i] : ((~less_3(B)) | (v84(constB18, B) <=> v123(constB18, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB18)) | ![B: $i] : ((~less_3(B)) | (v84(constB18, B) <=> v123(constB18, B))))),
% 8.48/6.01 inference(rewrite,[status(thm)],[])).
% 8.48/6.01 tff(11368,plain,
% 8.48/6.01 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB18)) | ![B: $i] : ((~less_3(B)) | (v84(constB18, B) <=> v123(constB18, B))))),
% 8.48/6.01 inference(quant_inst,[status(thm)],[])).
% 8.48/6.01 tff(11369,plain,
% 8.48/6.01 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB18)) | ![B: $i] : ((~less_3(B)) | (v84(constB18, B) <=> v123(constB18, B)))),
% 8.48/6.01 inference(modus_ponens,[status(thm)],[11368, 11367])).
% 8.48/6.01 tff(11370,plain,
% 8.48/6.01 ((~v94(constB18)) | ![B: $i] : ((~less_3(B)) | (v84(constB18, B) <=> v123(constB18, B)))),
% 8.48/6.01 inference(unit_resolution,[status(thm)],[11369, 9902])).
% 8.48/6.01 tff(11371,plain,
% 8.48/6.01 (![B: $i] : ((~less_3(B)) | (v84(constB18, B) <=> v123(constB18, B)))),
% 8.48/6.01 inference(unit_resolution,[status(thm)],[11370, 11366])).
% 8.48/6.01 tff(11372,plain,
% 8.48/6.01 (((~![B: $i] : ((~less_3(B)) | (v84(constB18, B) <=> v123(constB18, B)))) | ((~less_3(bitIndex2)) | (v84(constB18, bitIndex2) <=> v123(constB18, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB18, B) <=> v123(constB18, B)))) | (~less_3(bitIndex2)) | (v84(constB18, bitIndex2) <=> v123(constB18, bitIndex2)))),
% 8.48/6.01 inference(rewrite,[status(thm)],[])).
% 8.48/6.01 tff(11373,plain,
% 8.48/6.01 ((~![B: $i] : ((~less_3(B)) | (v84(constB18, B) <=> v123(constB18, B)))) | ((~less_3(bitIndex2)) | (v84(constB18, bitIndex2) <=> v123(constB18, bitIndex2)))),
% 8.48/6.01 inference(quant_inst,[status(thm)],[])).
% 8.48/6.01 tff(11374,plain,
% 8.48/6.01 ((~![B: $i] : ((~less_3(B)) | (v84(constB18, B) <=> v123(constB18, B)))) | (~less_3(bitIndex2)) | (v84(constB18, bitIndex2) <=> v123(constB18, bitIndex2))),
% 8.48/6.01 inference(modus_ponens,[status(thm)],[11373, 11372])).
% 8.48/6.01 tff(11375,plain,
% 8.48/6.01 (v84(constB18, bitIndex2) <=> v123(constB18, bitIndex2)),
% 8.48/6.01 inference(unit_resolution,[status(thm)],[11374, 832, 11371])).
% 8.48/6.01 tff(11376,plain,
% 8.48/6.01 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB17, constB18)) | ![B: $i] : ((~less_3(B)) | (v123(constB18, B) <=> v121(constB17, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB17, constB18)) | ![B: $i] : ((~less_3(B)) | (v123(constB18, B) <=> v121(constB17, B))))),
% 8.48/6.01 inference(rewrite,[status(thm)],[])).
% 8.48/6.01 tff(11377,plain,
% 8.48/6.01 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB17, constB18)) | ![B: $i] : ((~less_3(B)) | (v123(constB18, B) <=> v121(constB17, B))))),
% 8.48/6.01 inference(quant_inst,[status(thm)],[])).
% 8.48/6.01 tff(11378,plain,
% 8.48/6.01 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB17, constB18)) | ![B: $i] : ((~less_3(B)) | (v123(constB18, B) <=> v121(constB17, B)))),
% 8.48/6.01 inference(modus_ponens,[status(thm)],[11377, 11376])).
% 8.48/6.01 tff(11379,plain,
% 8.48/6.01 (![B: $i] : ((~less_3(B)) | (v123(constB18, B) <=> v121(constB17, B)))),
% 8.48/6.01 inference(unit_resolution,[status(thm)],[11378, 8932, 9924])).
% 8.48/6.01 tff(11380,plain,
% 8.48/6.01 (((~![B: $i] : ((~less_3(B)) | (v123(constB18, B) <=> v121(constB17, B)))) | ((~less_3(bitIndex2)) | (v123(constB18, bitIndex2) <=> v121(constB17, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB18, B) <=> v121(constB17, B)))) | (~less_3(bitIndex2)) | (v123(constB18, bitIndex2) <=> v121(constB17, bitIndex2)))),
% 8.48/6.01 inference(rewrite,[status(thm)],[])).
% 8.48/6.01 tff(11381,plain,
% 8.48/6.01 ((~![B: $i] : ((~less_3(B)) | (v123(constB18, B) <=> v121(constB17, B)))) | ((~less_3(bitIndex2)) | (v123(constB18, bitIndex2) <=> v121(constB17, bitIndex2)))),
% 8.48/6.01 inference(quant_inst,[status(thm)],[])).
% 8.48/6.01 tff(11382,plain,
% 8.48/6.01 ((~![B: $i] : ((~less_3(B)) | (v123(constB18, B) <=> v121(constB17, B)))) | (~less_3(bitIndex2)) | (v123(constB18, bitIndex2) <=> v121(constB17, bitIndex2))),
% 8.48/6.01 inference(modus_ponens,[status(thm)],[11381, 11380])).
% 8.48/6.01 tff(11383,plain,
% 8.48/6.01 (v123(constB18, bitIndex2) <=> v121(constB17, bitIndex2)),
% 8.48/6.01 inference(unit_resolution,[status(thm)],[11382, 832, 11379])).
% 8.48/6.01 tff(11384,plain,
% 8.48/6.01 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB17) | ![B: $i] : ((~less_3(B)) | (v121(constB17, B) <=> v124(constB17, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB17) | ![B: $i] : ((~less_3(B)) | (v121(constB17, B) <=> v124(constB17, B))))),
% 8.48/6.01 inference(rewrite,[status(thm)],[])).
% 8.48/6.01 tff(11385,plain,
% 8.48/6.01 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB17) | ![B: $i] : ((~less_3(B)) | (v121(constB17, B) <=> v124(constB17, B))))),
% 8.48/6.01 inference(quant_inst,[status(thm)],[])).
% 8.48/6.01 tff(11386,plain,
% 8.48/6.01 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB17) | ![B: $i] : ((~less_3(B)) | (v121(constB17, B) <=> v124(constB17, B)))),
% 8.48/6.01 inference(modus_ponens,[status(thm)],[11385, 11384])).
% 8.48/6.01 tff(11387,plain,
% 8.48/6.01 (![B: $i] : ((~less_3(B)) | (v121(constB17, B) <=> v124(constB17, B)))),
% 8.48/6.01 inference(unit_resolution,[status(thm)],[11386, 9945, 11348])).
% 8.48/6.01 tff(11388,plain,
% 8.48/6.01 (((~![B: $i] : ((~less_3(B)) | (v121(constB17, B) <=> v124(constB17, B)))) | ((~less_3(bitIndex2)) | (v121(constB17, bitIndex2) <=> v124(constB17, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB17, B) <=> v124(constB17, B)))) | (~less_3(bitIndex2)) | (v121(constB17, bitIndex2) <=> v124(constB17, bitIndex2)))),
% 8.48/6.01 inference(rewrite,[status(thm)],[])).
% 8.48/6.01 tff(11389,plain,
% 8.48/6.01 ((~![B: $i] : ((~less_3(B)) | (v121(constB17, B) <=> v124(constB17, B)))) | ((~less_3(bitIndex2)) | (v121(constB17, bitIndex2) <=> v124(constB17, bitIndex2)))),
% 8.48/6.01 inference(quant_inst,[status(thm)],[])).
% 8.48/6.01 tff(11390,plain,
% 8.48/6.01 ((~![B: $i] : ((~less_3(B)) | (v121(constB17, B) <=> v124(constB17, B)))) | (~less_3(bitIndex2)) | (v121(constB17, bitIndex2) <=> v124(constB17, bitIndex2))),
% 8.48/6.01 inference(modus_ponens,[status(thm)],[11389, 11388])).
% 8.48/6.01 tff(11391,plain,
% 8.48/6.01 (v121(constB17, bitIndex2) <=> v124(constB17, bitIndex2)),
% 8.48/6.01 inference(unit_resolution,[status(thm)],[11390, 832, 11387])).
% 8.48/6.01 tff(11392,plain,
% 8.48/6.01 (((~![VarCurr: $i] : ((~v115(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b011(B))))) | ((~v115(constB17)) | ![B: $i] : ((~less_3(B)) | (v124(constB17, B) <=> b011(B))))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b011(B))))) | (~v115(constB17)) | ![B: $i] : ((~less_3(B)) | (v124(constB17, B) <=> b011(B))))),
% 8.48/6.01 inference(rewrite,[status(thm)],[])).
% 8.48/6.01 tff(11393,plain,
% 8.48/6.01 ((~![VarCurr: $i] : ((~v115(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b011(B))))) | ((~v115(constB17)) | ![B: $i] : ((~less_3(B)) | (v124(constB17, B) <=> b011(B))))),
% 8.48/6.01 inference(quant_inst,[status(thm)],[])).
% 8.48/6.01 tff(11394,plain,
% 8.48/6.01 ((~![VarCurr: $i] : ((~v115(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b011(B))))) | (~v115(constB17)) | ![B: $i] : ((~less_3(B)) | (v124(constB17, B) <=> b011(B)))),
% 8.48/6.01 inference(modus_ponens,[status(thm)],[11393, 11392])).
% 8.48/6.01 tff(11395,plain,
% 8.48/6.01 ((~v115(constB17)) | ![B: $i] : ((~less_3(B)) | (v124(constB17, B) <=> b011(B)))),
% 8.48/6.01 inference(unit_resolution,[status(thm)],[11394, 10329])).
% 8.48/6.01 tff(11396,plain,
% 8.48/6.01 (![B: $i] : ((~less_3(B)) | (v124(constB17, B) <=> b011(B)))),
% 8.48/6.01 inference(unit_resolution,[status(thm)],[11395, 11319])).
% 8.48/6.01 tff(11397,plain,
% 8.48/6.01 (((~![B: $i] : ((~less_3(B)) | (v124(constB17, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v124(constB17, bitIndex2) <=> b011(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB17, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v124(constB17, bitIndex2) <=> b011(bitIndex2)))),
% 8.48/6.01 inference(rewrite,[status(thm)],[])).
% 8.48/6.01 tff(11398,plain,
% 8.48/6.01 ((~![B: $i] : ((~less_3(B)) | (v124(constB17, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v124(constB17, bitIndex2) <=> b011(bitIndex2)))),
% 8.48/6.01 inference(quant_inst,[status(thm)],[])).
% 8.48/6.01 tff(11399,plain,
% 8.48/6.01 ((~![B: $i] : ((~less_3(B)) | (v124(constB17, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v124(constB17, bitIndex2) <=> b011(bitIndex2))),
% 8.48/6.01 inference(modus_ponens,[status(thm)],[11398, 11397])).
% 8.48/6.01 tff(11400,plain,
% 8.48/6.01 (v124(constB17, bitIndex2) <=> b011(bitIndex2)),
% 8.48/6.01 inference(unit_resolution,[status(thm)],[11399, 832, 11396])).
% 8.48/6.01 tff(11401,plain,
% 8.48/6.01 ((~(v124(constB17, bitIndex2) <=> b011(bitIndex2))) | (~v124(constB17, bitIndex2)) | b011(bitIndex2)),
% 8.48/6.01 inference(tautology,[status(thm)],[])).
% 8.48/6.01 tff(11402,plain,
% 8.48/6.01 ((~(v124(constB17, bitIndex2) <=> b011(bitIndex2))) | (~v124(constB17, bitIndex2))),
% 8.48/6.01 inference(unit_resolution,[status(thm)],[11401, 10341])).
% 8.48/6.01 tff(11403,plain,
% 8.48/6.01 (~v124(constB17, bitIndex2)),
% 8.48/6.01 inference(unit_resolution,[status(thm)],[11402, 11400])).
% 8.48/6.01 tff(11404,plain,
% 8.48/6.01 ((~(v121(constB17, bitIndex2) <=> v124(constB17, bitIndex2))) | (~v121(constB17, bitIndex2)) | v124(constB17, bitIndex2)),
% 8.48/6.01 inference(tautology,[status(thm)],[])).
% 8.48/6.01 tff(11405,plain,
% 8.48/6.01 (~v121(constB17, bitIndex2)),
% 8.48/6.01 inference(unit_resolution,[status(thm)],[11404, 11403, 11391])).
% 8.48/6.01 tff(11406,plain,
% 8.48/6.01 ((~(v123(constB18, bitIndex2) <=> v121(constB17, bitIndex2))) | (~v123(constB18, bitIndex2)) | v121(constB17, bitIndex2)),
% 8.48/6.01 inference(tautology,[status(thm)],[])).
% 8.48/6.01 tff(11407,plain,
% 8.48/6.01 (~v123(constB18, bitIndex2)),
% 8.48/6.01 inference(unit_resolution,[status(thm)],[11406, 11405, 11383])).
% 8.48/6.01 tff(11408,plain,
% 8.48/6.01 ((~(v84(constB18, bitIndex2) <=> v123(constB18, bitIndex2))) | (~v84(constB18, bitIndex2)) | v123(constB18, bitIndex2)),
% 8.48/6.01 inference(tautology,[status(thm)],[])).
% 8.48/6.01 tff(11409,plain,
% 8.48/6.01 (~v84(constB18, bitIndex2)),
% 8.48/6.01 inference(unit_resolution,[status(thm)],[11408, 11407, 11375])).
% 8.48/6.01 tff(11410,plain,
% 8.48/6.01 ((~(v84(constB19, bitIndex2) <=> v84(constB18, bitIndex2))) | (~v84(constB19, bitIndex2)) | v84(constB18, bitIndex2)),
% 8.48/6.01 inference(tautology,[status(thm)],[])).
% 8.48/6.01 tff(11411,plain,
% 8.48/6.01 (~v84(constB19, bitIndex2)),
% 8.48/6.01 inference(unit_resolution,[status(thm)],[11410, 11409, 8929])).
% 8.48/6.01 tff(11412,plain,
% 8.48/6.01 (((~![B: $i] : ((~less_3(B)) | (v84(constB19, B) <=> v84(constB18, B)))) | ((~less_3(bitIndex0)) | (v84(constB19, bitIndex0) <=> v84(constB18, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB19, B) <=> v84(constB18, B)))) | (~less_3(bitIndex0)) | (v84(constB19, bitIndex0) <=> v84(constB18, bitIndex0)))),
% 8.48/6.01 inference(rewrite,[status(thm)],[])).
% 8.48/6.01 tff(11413,plain,
% 8.48/6.01 ((~![B: $i] : ((~less_3(B)) | (v84(constB19, B) <=> v84(constB18, B)))) | ((~less_3(bitIndex0)) | (v84(constB19, bitIndex0) <=> v84(constB18, bitIndex0)))),
% 8.48/6.01 inference(quant_inst,[status(thm)],[])).
% 8.48/6.01 tff(11414,plain,
% 8.48/6.01 ((~![B: $i] : ((~less_3(B)) | (v84(constB19, B) <=> v84(constB18, B)))) | (~less_3(bitIndex0)) | (v84(constB19, bitIndex0) <=> v84(constB18, bitIndex0))),
% 8.48/6.01 inference(modus_ponens,[status(thm)],[11413, 11412])).
% 8.48/6.01 tff(11415,plain,
% 8.48/6.01 (v84(constB19, bitIndex0) <=> v84(constB18, bitIndex0)),
% 8.48/6.01 inference(unit_resolution,[status(thm)],[11414, 9772, 8925])).
% 8.48/6.01 tff(11416,plain,
% 8.48/6.01 (((~![B: $i] : ((~less_3(B)) | (v84(constB18, B) <=> v123(constB18, B)))) | ((~less_3(bitIndex0)) | (v84(constB18, bitIndex0) <=> v123(constB18, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB18, B) <=> v123(constB18, B)))) | (~less_3(bitIndex0)) | (v84(constB18, bitIndex0) <=> v123(constB18, bitIndex0)))),
% 8.48/6.01 inference(rewrite,[status(thm)],[])).
% 8.48/6.01 tff(11417,plain,
% 8.48/6.01 ((~![B: $i] : ((~less_3(B)) | (v84(constB18, B) <=> v123(constB18, B)))) | ((~less_3(bitIndex0)) | (v84(constB18, bitIndex0) <=> v123(constB18, bitIndex0)))),
% 8.48/6.01 inference(quant_inst,[status(thm)],[])).
% 8.48/6.01 tff(11418,plain,
% 8.48/6.01 ((~![B: $i] : ((~less_3(B)) | (v84(constB18, B) <=> v123(constB18, B)))) | (~less_3(bitIndex0)) | (v84(constB18, bitIndex0) <=> v123(constB18, bitIndex0))),
% 8.48/6.01 inference(modus_ponens,[status(thm)],[11417, 11416])).
% 8.48/6.01 tff(11419,plain,
% 8.48/6.01 (v84(constB18, bitIndex0) <=> v123(constB18, bitIndex0)),
% 8.48/6.01 inference(unit_resolution,[status(thm)],[11418, 9772, 11371])).
% 8.48/6.01 tff(11420,plain,
% 8.48/6.01 (((~![B: $i] : ((~less_3(B)) | (v123(constB18, B) <=> v121(constB17, B)))) | ((~less_3(bitIndex0)) | (v123(constB18, bitIndex0) <=> v121(constB17, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB18, B) <=> v121(constB17, B)))) | (~less_3(bitIndex0)) | (v123(constB18, bitIndex0) <=> v121(constB17, bitIndex0)))),
% 8.48/6.01 inference(rewrite,[status(thm)],[])).
% 8.48/6.01 tff(11421,plain,
% 8.48/6.01 ((~![B: $i] : ((~less_3(B)) | (v123(constB18, B) <=> v121(constB17, B)))) | ((~less_3(bitIndex0)) | (v123(constB18, bitIndex0) <=> v121(constB17, bitIndex0)))),
% 8.48/6.01 inference(quant_inst,[status(thm)],[])).
% 8.48/6.01 tff(11422,plain,
% 8.48/6.01 ((~![B: $i] : ((~less_3(B)) | (v123(constB18, B) <=> v121(constB17, B)))) | (~less_3(bitIndex0)) | (v123(constB18, bitIndex0) <=> v121(constB17, bitIndex0))),
% 8.48/6.01 inference(modus_ponens,[status(thm)],[11421, 11420])).
% 8.48/6.01 tff(11423,plain,
% 8.48/6.01 (v123(constB18, bitIndex0) <=> v121(constB17, bitIndex0)),
% 8.48/6.01 inference(unit_resolution,[status(thm)],[11422, 9772, 11379])).
% 8.48/6.01 tff(11424,plain,
% 8.48/6.01 (((~![B: $i] : ((~less_3(B)) | (v121(constB17, B) <=> v124(constB17, B)))) | ((~less_3(bitIndex0)) | (v121(constB17, bitIndex0) <=> v124(constB17, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB17, B) <=> v124(constB17, B)))) | (~less_3(bitIndex0)) | (v121(constB17, bitIndex0) <=> v124(constB17, bitIndex0)))),
% 8.48/6.01 inference(rewrite,[status(thm)],[])).
% 8.48/6.01 tff(11425,plain,
% 8.48/6.01 ((~![B: $i] : ((~less_3(B)) | (v121(constB17, B) <=> v124(constB17, B)))) | ((~less_3(bitIndex0)) | (v121(constB17, bitIndex0) <=> v124(constB17, bitIndex0)))),
% 8.48/6.01 inference(quant_inst,[status(thm)],[])).
% 8.48/6.01 tff(11426,plain,
% 8.48/6.01 ((~![B: $i] : ((~less_3(B)) | (v121(constB17, B) <=> v124(constB17, B)))) | (~less_3(bitIndex0)) | (v121(constB17, bitIndex0) <=> v124(constB17, bitIndex0))),
% 8.48/6.01 inference(modus_ponens,[status(thm)],[11425, 11424])).
% 8.48/6.01 tff(11427,plain,
% 8.48/6.01 (v121(constB17, bitIndex0) <=> v124(constB17, bitIndex0)),
% 8.48/6.01 inference(unit_resolution,[status(thm)],[11426, 9772, 11387])).
% 8.48/6.01 tff(11428,plain,
% 8.48/6.01 (((~![B: $i] : ((~less_3(B)) | (v124(constB17, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v124(constB17, bitIndex0) <=> b011(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB17, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v124(constB17, bitIndex0) <=> b011(bitIndex0)))),
% 8.48/6.01 inference(rewrite,[status(thm)],[])).
% 8.48/6.01 tff(11429,plain,
% 8.48/6.01 ((~![B: $i] : ((~less_3(B)) | (v124(constB17, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v124(constB17, bitIndex0) <=> b011(bitIndex0)))),
% 8.48/6.01 inference(quant_inst,[status(thm)],[])).
% 8.48/6.01 tff(11430,plain,
% 8.48/6.01 ((~![B: $i] : ((~less_3(B)) | (v124(constB17, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v124(constB17, bitIndex0) <=> b011(bitIndex0))),
% 8.48/6.01 inference(modus_ponens,[status(thm)],[11429, 11428])).
% 8.48/6.01 tff(11431,plain,
% 8.48/6.01 (v124(constB17, bitIndex0) <=> b011(bitIndex0)),
% 8.48/6.01 inference(unit_resolution,[status(thm)],[11430, 9772, 11396])).
% 8.48/6.01 tff(11432,plain,
% 8.48/6.01 ((~(v124(constB17, bitIndex0) <=> b011(bitIndex0))) | v124(constB17, bitIndex0) | (~b011(bitIndex0))),
% 8.48/6.01 inference(tautology,[status(thm)],[])).
% 8.48/6.01 tff(11433,plain,
% 8.48/6.01 ((~(v124(constB17, bitIndex0) <=> b011(bitIndex0))) | v124(constB17, bitIndex0)),
% 8.48/6.01 inference(unit_resolution,[status(thm)],[11432, 10375])).
% 8.48/6.01 tff(11434,plain,
% 8.48/6.01 (v124(constB17, bitIndex0)),
% 8.48/6.01 inference(unit_resolution,[status(thm)],[11433, 11431])).
% 8.48/6.01 tff(11435,plain,
% 8.48/6.01 ((~(v121(constB17, bitIndex0) <=> v124(constB17, bitIndex0))) | v121(constB17, bitIndex0) | (~v124(constB17, bitIndex0))),
% 8.48/6.01 inference(tautology,[status(thm)],[])).
% 8.48/6.01 tff(11436,plain,
% 8.48/6.01 (v121(constB17, bitIndex0)),
% 8.48/6.01 inference(unit_resolution,[status(thm)],[11435, 11434, 11427])).
% 8.48/6.01 tff(11437,plain,
% 8.48/6.01 ((~(v123(constB18, bitIndex0) <=> v121(constB17, bitIndex0))) | v123(constB18, bitIndex0) | (~v121(constB17, bitIndex0))),
% 8.48/6.01 inference(tautology,[status(thm)],[])).
% 8.48/6.01 tff(11438,plain,
% 8.48/6.01 (v123(constB18, bitIndex0)),
% 8.48/6.01 inference(unit_resolution,[status(thm)],[11437, 11436, 11423])).
% 8.48/6.01 tff(11439,plain,
% 8.48/6.01 ((~(v84(constB18, bitIndex0) <=> v123(constB18, bitIndex0))) | v84(constB18, bitIndex0) | (~v123(constB18, bitIndex0))),
% 8.48/6.01 inference(tautology,[status(thm)],[])).
% 8.48/6.01 tff(11440,plain,
% 8.48/6.01 (v84(constB18, bitIndex0)),
% 8.48/6.01 inference(unit_resolution,[status(thm)],[11439, 11438, 11419])).
% 8.48/6.01 tff(11441,plain,
% 8.48/6.01 ((~(v84(constB19, bitIndex0) <=> v84(constB18, bitIndex0))) | v84(constB19, bitIndex0) | (~v84(constB18, bitIndex0))),
% 8.48/6.01 inference(tautology,[status(thm)],[])).
% 8.48/6.01 tff(11442,plain,
% 8.48/6.01 (v84(constB19, bitIndex0)),
% 8.48/6.01 inference(unit_resolution,[status(thm)],[11441, 11440, 11415])).
% 8.48/6.01 tff(11443,plain,
% 8.48/6.01 (((~![B: $i] : ((~less_3(B)) | (v84(constB19, B) <=> v84(constB18, B)))) | ((~less_3(bitIndex1)) | (v84(constB19, bitIndex1) <=> v84(constB18, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB19, B) <=> v84(constB18, B)))) | (~less_3(bitIndex1)) | (v84(constB19, bitIndex1) <=> v84(constB18, bitIndex1)))),
% 8.48/6.01 inference(rewrite,[status(thm)],[])).
% 8.48/6.01 tff(11444,plain,
% 8.48/6.01 ((~![B: $i] : ((~less_3(B)) | (v84(constB19, B) <=> v84(constB18, B)))) | ((~less_3(bitIndex1)) | (v84(constB19, bitIndex1) <=> v84(constB18, bitIndex1)))),
% 8.48/6.01 inference(quant_inst,[status(thm)],[])).
% 8.48/6.01 tff(11445,plain,
% 8.48/6.01 ((~![B: $i] : ((~less_3(B)) | (v84(constB19, B) <=> v84(constB18, B)))) | (~less_3(bitIndex1)) | (v84(constB19, bitIndex1) <=> v84(constB18, bitIndex1))),
% 8.48/6.01 inference(modus_ponens,[status(thm)],[11444, 11443])).
% 8.48/6.01 tff(11446,plain,
% 8.48/6.01 (v84(constB19, bitIndex1) <=> v84(constB18, bitIndex1)),
% 8.48/6.01 inference(unit_resolution,[status(thm)],[11445, 9785, 8925])).
% 8.48/6.01 tff(11447,plain,
% 8.48/6.01 (((~![B: $i] : ((~less_3(B)) | (v84(constB18, B) <=> v123(constB18, B)))) | ((~less_3(bitIndex1)) | (v84(constB18, bitIndex1) <=> v123(constB18, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB18, B) <=> v123(constB18, B)))) | (~less_3(bitIndex1)) | (v84(constB18, bitIndex1) <=> v123(constB18, bitIndex1)))),
% 8.48/6.01 inference(rewrite,[status(thm)],[])).
% 8.48/6.01 tff(11448,plain,
% 8.48/6.01 ((~![B: $i] : ((~less_3(B)) | (v84(constB18, B) <=> v123(constB18, B)))) | ((~less_3(bitIndex1)) | (v84(constB18, bitIndex1) <=> v123(constB18, bitIndex1)))),
% 8.48/6.01 inference(quant_inst,[status(thm)],[])).
% 8.48/6.01 tff(11449,plain,
% 8.48/6.01 ((~![B: $i] : ((~less_3(B)) | (v84(constB18, B) <=> v123(constB18, B)))) | (~less_3(bitIndex1)) | (v84(constB18, bitIndex1) <=> v123(constB18, bitIndex1))),
% 8.48/6.01 inference(modus_ponens,[status(thm)],[11448, 11447])).
% 8.48/6.01 tff(11450,plain,
% 8.48/6.01 (v84(constB18, bitIndex1) <=> v123(constB18, bitIndex1)),
% 8.48/6.01 inference(unit_resolution,[status(thm)],[11449, 9785, 11371])).
% 8.48/6.01 tff(11451,plain,
% 8.48/6.01 (((~![B: $i] : ((~less_3(B)) | (v123(constB18, B) <=> v121(constB17, B)))) | ((~less_3(bitIndex1)) | (v123(constB18, bitIndex1) <=> v121(constB17, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB18, B) <=> v121(constB17, B)))) | (~less_3(bitIndex1)) | (v123(constB18, bitIndex1) <=> v121(constB17, bitIndex1)))),
% 8.48/6.01 inference(rewrite,[status(thm)],[])).
% 8.48/6.01 tff(11452,plain,
% 8.48/6.01 ((~![B: $i] : ((~less_3(B)) | (v123(constB18, B) <=> v121(constB17, B)))) | ((~less_3(bitIndex1)) | (v123(constB18, bitIndex1) <=> v121(constB17, bitIndex1)))),
% 8.48/6.01 inference(quant_inst,[status(thm)],[])).
% 8.48/6.01 tff(11453,plain,
% 8.48/6.01 ((~![B: $i] : ((~less_3(B)) | (v123(constB18, B) <=> v121(constB17, B)))) | (~less_3(bitIndex1)) | (v123(constB18, bitIndex1) <=> v121(constB17, bitIndex1))),
% 8.48/6.01 inference(modus_ponens,[status(thm)],[11452, 11451])).
% 8.48/6.01 tff(11454,plain,
% 8.48/6.01 (v123(constB18, bitIndex1) <=> v121(constB17, bitIndex1)),
% 8.48/6.01 inference(unit_resolution,[status(thm)],[11453, 9785, 11379])).
% 8.48/6.01 tff(11455,plain,
% 8.48/6.01 (((~![B: $i] : ((~less_3(B)) | (v121(constB17, B) <=> v124(constB17, B)))) | ((~less_3(bitIndex1)) | (v121(constB17, bitIndex1) <=> v124(constB17, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB17, B) <=> v124(constB17, B)))) | (~less_3(bitIndex1)) | (v121(constB17, bitIndex1) <=> v124(constB17, bitIndex1)))),
% 8.48/6.01 inference(rewrite,[status(thm)],[])).
% 8.48/6.01 tff(11456,plain,
% 8.48/6.01 ((~![B: $i] : ((~less_3(B)) | (v121(constB17, B) <=> v124(constB17, B)))) | ((~less_3(bitIndex1)) | (v121(constB17, bitIndex1) <=> v124(constB17, bitIndex1)))),
% 8.48/6.01 inference(quant_inst,[status(thm)],[])).
% 8.48/6.01 tff(11457,plain,
% 8.48/6.01 ((~![B: $i] : ((~less_3(B)) | (v121(constB17, B) <=> v124(constB17, B)))) | (~less_3(bitIndex1)) | (v121(constB17, bitIndex1) <=> v124(constB17, bitIndex1))),
% 8.48/6.01 inference(modus_ponens,[status(thm)],[11456, 11455])).
% 8.48/6.01 tff(11458,plain,
% 8.48/6.01 (v121(constB17, bitIndex1) <=> v124(constB17, bitIndex1)),
% 8.48/6.01 inference(unit_resolution,[status(thm)],[11457, 9785, 11387])).
% 8.48/6.01 tff(11459,plain,
% 8.48/6.01 (((~![B: $i] : ((~less_3(B)) | (v124(constB17, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v124(constB17, bitIndex1) <=> b011(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB17, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v124(constB17, bitIndex1) <=> b011(bitIndex1)))),
% 8.48/6.01 inference(rewrite,[status(thm)],[])).
% 8.48/6.01 tff(11460,plain,
% 8.48/6.01 ((~![B: $i] : ((~less_3(B)) | (v124(constB17, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v124(constB17, bitIndex1) <=> b011(bitIndex1)))),
% 8.48/6.01 inference(quant_inst,[status(thm)],[])).
% 8.48/6.01 tff(11461,plain,
% 8.48/6.01 ((~![B: $i] : ((~less_3(B)) | (v124(constB17, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v124(constB17, bitIndex1) <=> b011(bitIndex1))),
% 8.48/6.01 inference(modus_ponens,[status(thm)],[11460, 11459])).
% 8.48/6.01 tff(11462,plain,
% 8.48/6.01 (v124(constB17, bitIndex1) <=> b011(bitIndex1)),
% 8.48/6.01 inference(unit_resolution,[status(thm)],[11461, 9785, 11396])).
% 8.48/6.01 tff(11463,plain,
% 8.48/6.01 ((~(v124(constB17, bitIndex1) <=> b011(bitIndex1))) | v124(constB17, bitIndex1) | (~b011(bitIndex1))),
% 8.48/6.01 inference(tautology,[status(thm)],[])).
% 8.48/6.01 tff(11464,plain,
% 8.48/6.01 ((~(v124(constB17, bitIndex1) <=> b011(bitIndex1))) | v124(constB17, bitIndex1)),
% 8.48/6.01 inference(unit_resolution,[status(thm)],[11463, 10409])).
% 8.48/6.01 tff(11465,plain,
% 8.48/6.01 (v124(constB17, bitIndex1)),
% 8.48/6.01 inference(unit_resolution,[status(thm)],[11464, 11462])).
% 8.48/6.01 tff(11466,plain,
% 8.48/6.01 ((~(v121(constB17, bitIndex1) <=> v124(constB17, bitIndex1))) | v121(constB17, bitIndex1) | (~v124(constB17, bitIndex1))),
% 8.48/6.01 inference(tautology,[status(thm)],[])).
% 8.48/6.01 tff(11467,plain,
% 8.48/6.01 (v121(constB17, bitIndex1)),
% 8.48/6.01 inference(unit_resolution,[status(thm)],[11466, 11465, 11458])).
% 8.48/6.01 tff(11468,plain,
% 8.48/6.01 ((~(v123(constB18, bitIndex1) <=> v121(constB17, bitIndex1))) | v123(constB18, bitIndex1) | (~v121(constB17, bitIndex1))),
% 8.48/6.01 inference(tautology,[status(thm)],[])).
% 8.48/6.01 tff(11469,plain,
% 8.48/6.01 (v123(constB18, bitIndex1)),
% 8.48/6.01 inference(unit_resolution,[status(thm)],[11468, 11467, 11454])).
% 8.48/6.01 tff(11470,plain,
% 8.48/6.01 ((~(v84(constB18, bitIndex1) <=> v123(constB18, bitIndex1))) | v84(constB18, bitIndex1) | (~v123(constB18, bitIndex1))),
% 8.48/6.01 inference(tautology,[status(thm)],[])).
% 8.48/6.01 tff(11471,plain,
% 8.48/6.01 (v84(constB18, bitIndex1)),
% 8.48/6.01 inference(unit_resolution,[status(thm)],[11470, 11469, 11450])).
% 8.48/6.01 tff(11472,plain,
% 8.48/6.01 ((~(v84(constB19, bitIndex1) <=> v84(constB18, bitIndex1))) | v84(constB19, bitIndex1) | (~v84(constB18, bitIndex1))),
% 8.48/6.01 inference(tautology,[status(thm)],[])).
% 8.48/6.01 tff(11473,plain,
% 8.48/6.01 (v84(constB19, bitIndex1)),
% 8.48/6.01 inference(unit_resolution,[status(thm)],[11472, 11471, 11446])).
% 8.48/6.01 tff(11474,plain,
% 8.48/6.01 ((~(v84(constB19, bitIndex2) | (~v84(constB19, bitIndex1)) | (~v84(constB19, bitIndex0)))) | v84(constB19, bitIndex2) | (~v84(constB19, bitIndex1)) | (~v84(constB19, bitIndex0))),
% 8.48/6.01 inference(tautology,[status(thm)],[])).
% 8.48/6.01 tff(11475,plain,
% 8.48/6.01 (~(v84(constB19, bitIndex2) | (~v84(constB19, bitIndex1)) | (~v84(constB19, bitIndex0)))),
% 8.48/6.01 inference(unit_resolution,[status(thm)],[11474, 11473, 11442, 11411])).
% 8.48/6.01 tff(11476,plain,
% 8.48/6.01 ((~(v116(constB19) <=> (~(v84(constB19, bitIndex2) | (~v84(constB19, bitIndex1)) | (~v84(constB19, bitIndex0)))))) | v116(constB19) | (v84(constB19, bitIndex2) | (~v84(constB19, bitIndex1)) | (~v84(constB19, bitIndex0)))),
% 8.48/6.01 inference(tautology,[status(thm)],[])).
% 8.48/6.01 tff(11477,plain,
% 8.48/6.01 (v116(constB19)),
% 8.48/6.01 inference(unit_resolution,[status(thm)],[11476, 11475, 8897])).
% 8.48/6.01 tff(11478,plain,
% 8.48/6.01 ((v111(constB19) | v116(constB19)) | (~v116(constB19))),
% 8.48/6.01 inference(tautology,[status(thm)],[])).
% 8.48/6.01 tff(11479,plain,
% 8.48/6.01 (v111(constB19) | v116(constB19)),
% 8.48/6.01 inference(unit_resolution,[status(thm)],[11478, 11477])).
% 8.48/6.01 tff(11480,plain,
% 8.48/6.01 ((~(v110(constB19) <=> (v111(constB19) | v116(constB19)))) | v110(constB19) | (~(v111(constB19) | v116(constB19)))),
% 8.48/6.01 inference(tautology,[status(thm)],[])).
% 8.48/6.01 tff(11481,plain,
% 8.48/6.01 (v110(constB19)),
% 8.48/6.01 inference(unit_resolution,[status(thm)],[11480, 11479, 8895])).
% 8.48/6.01 tff(11482,plain,
% 8.48/6.01 ((v110(constB19) | v117(constB19)) | (~v110(constB19))),
% 8.48/6.01 inference(tautology,[status(thm)],[])).
% 8.48/6.01 tff(11483,plain,
% 8.48/6.01 (v110(constB19) | v117(constB19)),
% 8.48/6.01 inference(unit_resolution,[status(thm)],[11482, 11481])).
% 8.48/6.01 tff(11484,plain,
% 8.48/6.01 ((~(v109(constB19) <=> (v110(constB19) | v117(constB19)))) | v109(constB19) | (~(v110(constB19) | v117(constB19)))),
% 8.48/6.01 inference(tautology,[status(thm)],[])).
% 8.48/6.01 tff(11485,plain,
% 8.48/6.01 (v109(constB19)),
% 8.48/6.01 inference(unit_resolution,[status(thm)],[11484, 11483, 8893])).
% 8.48/6.01 tff(11486,plain,
% 8.48/6.01 ((v109(constB19) | v118(constB19)) | (~v109(constB19))),
% 8.48/6.01 inference(tautology,[status(thm)],[])).
% 8.48/6.01 tff(11487,plain,
% 8.48/6.01 (v109(constB19) | v118(constB19)),
% 8.48/6.01 inference(unit_resolution,[status(thm)],[11486, 11485])).
% 8.48/6.01 tff(11488,plain,
% 8.48/6.01 ((~(v108(constB19) <=> (v109(constB19) | v118(constB19)))) | v108(constB19) | (~(v109(constB19) | v118(constB19)))),
% 8.48/6.01 inference(tautology,[status(thm)],[])).
% 8.48/6.01 tff(11489,plain,
% 8.48/6.01 (v108(constB19)),
% 8.48/6.01 inference(unit_resolution,[status(thm)],[11488, 11487, 8891])).
% 8.48/6.01 tff(11490,plain,
% 8.48/6.01 ((v108(constB19) | v119(constB19)) | (~v108(constB19))),
% 8.48/6.01 inference(tautology,[status(thm)],[])).
% 8.48/6.01 tff(11491,plain,
% 8.48/6.01 (v108(constB19) | v119(constB19)),
% 8.48/6.01 inference(unit_resolution,[status(thm)],[11490, 11489])).
% 8.48/6.01 tff(11492,plain,
% 8.48/6.01 ((~(v107(constB19) <=> (v108(constB19) | v119(constB19)))) | v107(constB19) | (~(v108(constB19) | v119(constB19)))),
% 8.48/6.01 inference(tautology,[status(thm)],[])).
% 8.48/6.01 tff(11493,plain,
% 8.48/6.01 (v107(constB19)),
% 8.48/6.01 inference(unit_resolution,[status(thm)],[11492, 11491, 8889])).
% 8.48/6.01 tff(11494,plain,
% 8.48/6.01 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB19)) <=> v105(constB19))),
% 8.48/6.01 inference(quant_inst,[status(thm)],[])).
% 8.48/6.01 tff(11495,plain,
% 8.48/6.01 ((~v120(constB19)) <=> v105(constB19)),
% 8.48/6.01 inference(unit_resolution,[status(thm)],[11494, 9842])).
% 8.48/6.01 tff(11496,plain,
% 8.48/6.01 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB19) <=> v26(constB19))),
% 8.48/6.01 inference(quant_inst,[status(thm)],[])).
% 8.48/6.01 tff(11497,plain,
% 8.48/6.01 (v105(constB19) <=> v26(constB19)),
% 8.48/6.01 inference(unit_resolution,[status(thm)],[11496, 9854])).
% 8.48/6.01 tff(11498,plain,
% 8.48/6.01 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB19))),
% 8.48/6.01 inference(quant_inst,[status(thm)],[])).
% 8.48/6.01 tff(11499,plain,
% 8.48/6.01 (~v26(constB19)),
% 8.48/6.01 inference(unit_resolution,[status(thm)],[11498, 9866])).
% 8.48/6.01 tff(11500,plain,
% 8.48/6.01 ((~(v105(constB19) <=> v26(constB19))) | (~v105(constB19)) | v26(constB19)),
% 8.48/6.01 inference(tautology,[status(thm)],[])).
% 8.48/6.01 tff(11501,plain,
% 8.48/6.01 ((~(v105(constB19) <=> v26(constB19))) | (~v105(constB19))),
% 8.48/6.01 inference(unit_resolution,[status(thm)],[11500, 11499])).
% 8.48/6.01 tff(11502,plain,
% 8.48/6.01 (~v105(constB19)),
% 8.48/6.01 inference(unit_resolution,[status(thm)],[11501, 11497])).
% 8.48/6.01 tff(11503,plain,
% 8.48/6.01 ((~((~v120(constB19)) <=> v105(constB19))) | v120(constB19) | v105(constB19)),
% 8.48/6.01 inference(tautology,[status(thm)],[])).
% 8.48/6.01 tff(11504,plain,
% 8.48/6.01 ((~((~v120(constB19)) <=> v105(constB19))) | v120(constB19)),
% 8.48/6.01 inference(unit_resolution,[status(thm)],[11503, 11502])).
% 8.48/6.01 tff(11505,plain,
% 8.48/6.01 (v120(constB19)),
% 8.48/6.01 inference(unit_resolution,[status(thm)],[11504, 11495])).
% 8.48/6.01 tff(11506,plain,
% 8.48/6.01 ((~((~v107(constB19)) | (~v120(constB19)))) | (~v107(constB19)) | (~v120(constB19))),
% 8.48/6.01 inference(tautology,[status(thm)],[])).
% 8.48/6.01 tff(11507,plain,
% 8.48/6.01 ((~((~v107(constB19)) | (~v120(constB19)))) | (~v107(constB19))),
% 8.48/6.01 inference(unit_resolution,[status(thm)],[11506, 11505])).
% 8.48/6.01 tff(11508,plain,
% 8.48/6.01 (~((~v107(constB19)) | (~v120(constB19)))),
% 8.48/6.01 inference(unit_resolution,[status(thm)],[11507, 11493])).
% 8.48/6.01 tff(11509,plain,
% 8.48/6.01 ((~(v106(constB19) <=> (~((~v107(constB19)) | (~v120(constB19)))))) | v106(constB19) | ((~v107(constB19)) | (~v120(constB19)))),
% 8.48/6.01 inference(tautology,[status(thm)],[])).
% 8.48/6.01 tff(11510,plain,
% 8.48/6.01 (v106(constB19)),
% 8.48/6.01 inference(unit_resolution,[status(thm)],[11509, 11508, 8887])).
% 8.48/6.01 tff(11511,plain,
% 8.48/6.01 ((v105(constB19) | v106(constB19)) | (~v106(constB19))),
% 8.48/6.01 inference(tautology,[status(thm)],[])).
% 8.48/6.01 tff(11512,plain,
% 8.48/6.01 (v105(constB19) | v106(constB19)),
% 8.48/6.01 inference(unit_resolution,[status(thm)],[11511, 11510])).
% 8.48/6.01 tff(11513,plain,
% 8.48/6.01 ((~(v102(constB19) <=> (v105(constB19) | v106(constB19)))) | v102(constB19) | (~(v105(constB19) | v106(constB19)))),
% 8.48/6.01 inference(tautology,[status(thm)],[])).
% 8.48/6.01 tff(11514,plain,
% 8.48/6.01 (v102(constB19)),
% 8.48/6.01 inference(unit_resolution,[status(thm)],[11513, 11512, 8885])).
% 8.48/6.01 tff(11515,plain,
% 8.48/6.01 ((~(v104(constB20) <=> v102(constB19))) | v104(constB20) | (~v102(constB19))),
% 8.48/6.01 inference(tautology,[status(thm)],[])).
% 8.48/6.01 tff(11516,plain,
% 8.48/6.01 (v104(constB20)),
% 8.48/6.01 inference(unit_resolution,[status(thm)],[11515, 11514, 8883])).
% 8.48/6.01 tff(11517,plain,
% 8.48/6.01 ((~((~v104(constB20)) | (~v95(constB20)))) | (~v104(constB20)) | (~v95(constB20))),
% 8.48/6.01 inference(tautology,[status(thm)],[])).
% 8.48/6.01 tff(11518,plain,
% 8.48/6.01 (~((~v104(constB20)) | (~v95(constB20)))),
% 8.48/6.01 inference(unit_resolution,[status(thm)],[11517, 11516, 8879])).
% 8.48/6.01 tff(11519,plain,
% 8.48/6.01 ((~(v94(constB20) <=> (~((~v104(constB20)) | (~v95(constB20)))))) | v94(constB20) | ((~v104(constB20)) | (~v95(constB20)))),
% 8.48/6.01 inference(tautology,[status(thm)],[])).
% 8.48/6.01 tff(11520,plain,
% 8.48/6.01 (v94(constB20)),
% 8.48/6.01 inference(unit_resolution,[status(thm)],[11519, 11518, 8848])).
% 8.48/6.01 tff(11521,plain,
% 8.48/6.01 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB20)) | ![B: $i] : ((~less_3(B)) | (v84(constB20, B) <=> v123(constB20, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB20)) | ![B: $i] : ((~less_3(B)) | (v84(constB20, B) <=> v123(constB20, B))))),
% 8.48/6.01 inference(rewrite,[status(thm)],[])).
% 8.48/6.01 tff(11522,plain,
% 8.48/6.01 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB20)) | ![B: $i] : ((~less_3(B)) | (v84(constB20, B) <=> v123(constB20, B))))),
% 8.48/6.01 inference(quant_inst,[status(thm)],[])).
% 8.48/6.01 tff(11523,plain,
% 8.48/6.01 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB20)) | ![B: $i] : ((~less_3(B)) | (v84(constB20, B) <=> v123(constB20, B)))),
% 8.48/6.01 inference(modus_ponens,[status(thm)],[11522, 11521])).
% 8.48/6.01 tff(11524,plain,
% 8.48/6.01 ((~v94(constB20)) | ![B: $i] : ((~less_3(B)) | (v84(constB20, B) <=> v123(constB20, B)))),
% 8.48/6.02 inference(unit_resolution,[status(thm)],[11523, 9902])).
% 8.48/6.02 tff(11525,plain,
% 8.48/6.02 (![B: $i] : ((~less_3(B)) | (v84(constB20, B) <=> v123(constB20, B)))),
% 8.48/6.02 inference(unit_resolution,[status(thm)],[11524, 11520])).
% 8.48/6.02 tff(11526,plain,
% 8.48/6.02 (((~![B: $i] : ((~less_3(B)) | (v84(constB20, B) <=> v123(constB20, B)))) | ((~less_3(bitIndex2)) | (v84(constB20, bitIndex2) <=> v123(constB20, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB20, B) <=> v123(constB20, B)))) | (~less_3(bitIndex2)) | (v84(constB20, bitIndex2) <=> v123(constB20, bitIndex2)))),
% 8.48/6.02 inference(rewrite,[status(thm)],[])).
% 8.48/6.02 tff(11527,plain,
% 8.48/6.02 ((~![B: $i] : ((~less_3(B)) | (v84(constB20, B) <=> v123(constB20, B)))) | ((~less_3(bitIndex2)) | (v84(constB20, bitIndex2) <=> v123(constB20, bitIndex2)))),
% 8.48/6.02 inference(quant_inst,[status(thm)],[])).
% 8.48/6.02 tff(11528,plain,
% 8.48/6.02 ((~![B: $i] : ((~less_3(B)) | (v84(constB20, B) <=> v123(constB20, B)))) | (~less_3(bitIndex2)) | (v84(constB20, bitIndex2) <=> v123(constB20, bitIndex2))),
% 8.48/6.02 inference(modus_ponens,[status(thm)],[11527, 11526])).
% 8.48/6.02 tff(11529,plain,
% 8.48/6.02 (v84(constB20, bitIndex2) <=> v123(constB20, bitIndex2)),
% 8.48/6.02 inference(unit_resolution,[status(thm)],[11528, 832, 11525])).
% 8.48/6.02 tff(11530,plain,
% 8.48/6.02 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB19, constB20)) | ![B: $i] : ((~less_3(B)) | (v123(constB20, B) <=> v121(constB19, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB19, constB20)) | ![B: $i] : ((~less_3(B)) | (v123(constB20, B) <=> v121(constB19, B))))),
% 8.48/6.02 inference(rewrite,[status(thm)],[])).
% 8.48/6.02 tff(11531,plain,
% 8.48/6.02 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB19, constB20)) | ![B: $i] : ((~less_3(B)) | (v123(constB20, B) <=> v121(constB19, B))))),
% 8.48/6.02 inference(quant_inst,[status(thm)],[])).
% 8.48/6.02 tff(11532,plain,
% 8.48/6.02 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB19, constB20)) | ![B: $i] : ((~less_3(B)) | (v123(constB20, B) <=> v121(constB19, B)))),
% 8.48/6.02 inference(modus_ponens,[status(thm)],[11531, 11530])).
% 8.48/6.02 tff(11533,plain,
% 8.48/6.02 (![B: $i] : ((~less_3(B)) | (v123(constB20, B) <=> v121(constB19, B)))),
% 8.48/6.02 inference(unit_resolution,[status(thm)],[11532, 8844, 9924])).
% 8.48/6.02 tff(11534,plain,
% 8.48/6.02 (((~![B: $i] : ((~less_3(B)) | (v123(constB20, B) <=> v121(constB19, B)))) | ((~less_3(bitIndex2)) | (v123(constB20, bitIndex2) <=> v121(constB19, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB20, B) <=> v121(constB19, B)))) | (~less_3(bitIndex2)) | (v123(constB20, bitIndex2) <=> v121(constB19, bitIndex2)))),
% 8.48/6.02 inference(rewrite,[status(thm)],[])).
% 8.48/6.02 tff(11535,plain,
% 8.48/6.02 ((~![B: $i] : ((~less_3(B)) | (v123(constB20, B) <=> v121(constB19, B)))) | ((~less_3(bitIndex2)) | (v123(constB20, bitIndex2) <=> v121(constB19, bitIndex2)))),
% 8.48/6.02 inference(quant_inst,[status(thm)],[])).
% 8.48/6.02 tff(11536,plain,
% 8.48/6.02 ((~![B: $i] : ((~less_3(B)) | (v123(constB20, B) <=> v121(constB19, B)))) | (~less_3(bitIndex2)) | (v123(constB20, bitIndex2) <=> v121(constB19, bitIndex2))),
% 8.48/6.02 inference(modus_ponens,[status(thm)],[11535, 11534])).
% 8.48/6.02 tff(11537,plain,
% 8.48/6.02 (v123(constB20, bitIndex2) <=> v121(constB19, bitIndex2)),
% 8.48/6.02 inference(unit_resolution,[status(thm)],[11536, 832, 11533])).
% 8.48/6.02 tff(11538,plain,
% 8.48/6.02 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB19) | ![B: $i] : ((~less_3(B)) | (v121(constB19, B) <=> v124(constB19, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB19) | ![B: $i] : ((~less_3(B)) | (v121(constB19, B) <=> v124(constB19, B))))),
% 8.48/6.02 inference(rewrite,[status(thm)],[])).
% 8.48/6.02 tff(11539,plain,
% 8.48/6.02 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB19) | ![B: $i] : ((~less_3(B)) | (v121(constB19, B) <=> v124(constB19, B))))),
% 8.48/6.02 inference(quant_inst,[status(thm)],[])).
% 8.48/6.02 tff(11540,plain,
% 8.48/6.02 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB19) | ![B: $i] : ((~less_3(B)) | (v121(constB19, B) <=> v124(constB19, B)))),
% 8.48/6.02 inference(modus_ponens,[status(thm)],[11539, 11538])).
% 8.48/6.02 tff(11541,plain,
% 8.48/6.02 (![B: $i] : ((~less_3(B)) | (v121(constB19, B) <=> v124(constB19, B)))),
% 8.48/6.02 inference(unit_resolution,[status(thm)],[11540, 9945, 11502])).
% 8.48/6.02 tff(11542,plain,
% 8.48/6.02 (((~![B: $i] : ((~less_3(B)) | (v121(constB19, B) <=> v124(constB19, B)))) | ((~less_3(bitIndex2)) | (v121(constB19, bitIndex2) <=> v124(constB19, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB19, B) <=> v124(constB19, B)))) | (~less_3(bitIndex2)) | (v121(constB19, bitIndex2) <=> v124(constB19, bitIndex2)))),
% 8.48/6.02 inference(rewrite,[status(thm)],[])).
% 8.48/6.02 tff(11543,plain,
% 8.48/6.02 ((~![B: $i] : ((~less_3(B)) | (v121(constB19, B) <=> v124(constB19, B)))) | ((~less_3(bitIndex2)) | (v121(constB19, bitIndex2) <=> v124(constB19, bitIndex2)))),
% 8.48/6.02 inference(quant_inst,[status(thm)],[])).
% 8.48/6.02 tff(11544,plain,
% 8.48/6.02 ((~![B: $i] : ((~less_3(B)) | (v121(constB19, B) <=> v124(constB19, B)))) | (~less_3(bitIndex2)) | (v121(constB19, bitIndex2) <=> v124(constB19, bitIndex2))),
% 8.48/6.02 inference(modus_ponens,[status(thm)],[11543, 11542])).
% 8.48/6.02 tff(11545,plain,
% 8.48/6.02 (v121(constB19, bitIndex2) <=> v124(constB19, bitIndex2)),
% 8.48/6.02 inference(unit_resolution,[status(thm)],[11544, 832, 11541])).
% 8.48/6.02 tff(11546,plain,
% 8.48/6.02 (((~![VarCurr: $i] : ((~v116(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b100(B))))) | ((~v116(constB19)) | ![B: $i] : ((~less_3(B)) | (v124(constB19, B) <=> b100(B))))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b100(B))))) | (~v116(constB19)) | ![B: $i] : ((~less_3(B)) | (v124(constB19, B) <=> b100(B))))),
% 8.48/6.02 inference(rewrite,[status(thm)],[])).
% 8.48/6.02 tff(11547,plain,
% 8.48/6.02 ((~![VarCurr: $i] : ((~v116(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b100(B))))) | ((~v116(constB19)) | ![B: $i] : ((~less_3(B)) | (v124(constB19, B) <=> b100(B))))),
% 8.48/6.02 inference(quant_inst,[status(thm)],[])).
% 8.48/6.02 tff(11548,plain,
% 8.48/6.02 ((~![VarCurr: $i] : ((~v116(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b100(B))))) | (~v116(constB19)) | ![B: $i] : ((~less_3(B)) | (v124(constB19, B) <=> b100(B)))),
% 8.48/6.02 inference(modus_ponens,[status(thm)],[11547, 11546])).
% 8.48/6.02 tff(11549,plain,
% 8.48/6.02 ((~v116(constB19)) | ![B: $i] : ((~less_3(B)) | (v124(constB19, B) <=> b100(B)))),
% 8.48/6.02 inference(unit_resolution,[status(thm)],[11548, 10505])).
% 8.48/6.02 tff(11550,plain,
% 8.48/6.02 (![B: $i] : ((~less_3(B)) | (v124(constB19, B) <=> b100(B)))),
% 8.48/6.02 inference(unit_resolution,[status(thm)],[11549, 11477])).
% 8.48/6.02 tff(11551,plain,
% 8.48/6.02 (((~![B: $i] : ((~less_3(B)) | (v124(constB19, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v124(constB19, bitIndex2) <=> b100(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB19, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v124(constB19, bitIndex2) <=> b100(bitIndex2)))),
% 8.48/6.02 inference(rewrite,[status(thm)],[])).
% 8.48/6.02 tff(11552,plain,
% 8.48/6.02 ((~![B: $i] : ((~less_3(B)) | (v124(constB19, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v124(constB19, bitIndex2) <=> b100(bitIndex2)))),
% 8.48/6.02 inference(quant_inst,[status(thm)],[])).
% 8.48/6.02 tff(11553,plain,
% 8.48/6.02 ((~![B: $i] : ((~less_3(B)) | (v124(constB19, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v124(constB19, bitIndex2) <=> b100(bitIndex2))),
% 8.48/6.02 inference(modus_ponens,[status(thm)],[11552, 11551])).
% 8.48/6.02 tff(11554,plain,
% 8.48/6.02 (v124(constB19, bitIndex2) <=> b100(bitIndex2)),
% 8.48/6.02 inference(unit_resolution,[status(thm)],[11553, 832, 11550])).
% 8.48/6.02 tff(11555,plain,
% 8.48/6.02 ((~(v124(constB19, bitIndex2) <=> b100(bitIndex2))) | v124(constB19, bitIndex2) | (~b100(bitIndex2))),
% 8.48/6.02 inference(tautology,[status(thm)],[])).
% 8.48/6.02 tff(11556,plain,
% 8.48/6.02 ((~(v124(constB19, bitIndex2) <=> b100(bitIndex2))) | v124(constB19, bitIndex2)),
% 8.48/6.02 inference(unit_resolution,[status(thm)],[11555, 10517])).
% 8.48/6.02 tff(11557,plain,
% 8.48/6.02 (v124(constB19, bitIndex2)),
% 8.48/6.02 inference(unit_resolution,[status(thm)],[11556, 11554])).
% 8.48/6.02 tff(11558,plain,
% 8.48/6.02 ((~(v121(constB19, bitIndex2) <=> v124(constB19, bitIndex2))) | v121(constB19, bitIndex2) | (~v124(constB19, bitIndex2))),
% 8.48/6.02 inference(tautology,[status(thm)],[])).
% 8.48/6.02 tff(11559,plain,
% 8.48/6.02 (v121(constB19, bitIndex2)),
% 8.48/6.02 inference(unit_resolution,[status(thm)],[11558, 11557, 11545])).
% 8.48/6.02 tff(11560,plain,
% 8.48/6.02 ((~(v123(constB20, bitIndex2) <=> v121(constB19, bitIndex2))) | v123(constB20, bitIndex2) | (~v121(constB19, bitIndex2))),
% 8.48/6.02 inference(tautology,[status(thm)],[])).
% 8.48/6.02 tff(11561,plain,
% 8.48/6.02 (v123(constB20, bitIndex2)),
% 8.48/6.02 inference(unit_resolution,[status(thm)],[11560, 11559, 11537])).
% 8.48/6.02 tff(11562,plain,
% 8.48/6.02 ((~(v84(constB20, bitIndex2) <=> v123(constB20, bitIndex2))) | v84(constB20, bitIndex2) | (~v123(constB20, bitIndex2))),
% 8.48/6.02 inference(tautology,[status(thm)],[])).
% 8.48/6.02 tff(11563,plain,
% 8.48/6.02 (v84(constB20, bitIndex2)),
% 8.48/6.02 inference(unit_resolution,[status(thm)],[11562, 11561, 11529])).
% 8.48/6.02 tff(11564,plain,
% 8.48/6.02 ((~(v84(constB21, bitIndex2) <=> v84(constB20, bitIndex2))) | v84(constB21, bitIndex2) | (~v84(constB20, bitIndex2))),
% 8.48/6.02 inference(tautology,[status(thm)],[])).
% 8.48/6.02 tff(11565,plain,
% 8.48/6.02 (v84(constB21, bitIndex2)),
% 8.48/6.02 inference(unit_resolution,[status(thm)],[11564, 11563, 8841])).
% 8.48/6.02 tff(11566,plain,
% 8.48/6.02 (((~![B: $i] : ((~less_3(B)) | (v84(constB21, B) <=> v84(constB20, B)))) | ((~less_3(bitIndex0)) | (v84(constB21, bitIndex0) <=> v84(constB20, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB21, B) <=> v84(constB20, B)))) | (~less_3(bitIndex0)) | (v84(constB21, bitIndex0) <=> v84(constB20, bitIndex0)))),
% 8.48/6.02 inference(rewrite,[status(thm)],[])).
% 8.48/6.02 tff(11567,plain,
% 8.48/6.02 ((~![B: $i] : ((~less_3(B)) | (v84(constB21, B) <=> v84(constB20, B)))) | ((~less_3(bitIndex0)) | (v84(constB21, bitIndex0) <=> v84(constB20, bitIndex0)))),
% 8.48/6.02 inference(quant_inst,[status(thm)],[])).
% 8.48/6.02 tff(11568,plain,
% 8.48/6.02 ((~![B: $i] : ((~less_3(B)) | (v84(constB21, B) <=> v84(constB20, B)))) | (~less_3(bitIndex0)) | (v84(constB21, bitIndex0) <=> v84(constB20, bitIndex0))),
% 8.48/6.02 inference(modus_ponens,[status(thm)],[11567, 11566])).
% 8.48/6.02 tff(11569,plain,
% 8.48/6.02 (v84(constB21, bitIndex0) <=> v84(constB20, bitIndex0)),
% 8.48/6.02 inference(unit_resolution,[status(thm)],[11568, 9772, 8837])).
% 8.48/6.02 tff(11570,plain,
% 8.48/6.02 (((~![B: $i] : ((~less_3(B)) | (v84(constB20, B) <=> v123(constB20, B)))) | ((~less_3(bitIndex0)) | (v84(constB20, bitIndex0) <=> v123(constB20, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB20, B) <=> v123(constB20, B)))) | (~less_3(bitIndex0)) | (v84(constB20, bitIndex0) <=> v123(constB20, bitIndex0)))),
% 8.48/6.02 inference(rewrite,[status(thm)],[])).
% 8.48/6.02 tff(11571,plain,
% 8.48/6.02 ((~![B: $i] : ((~less_3(B)) | (v84(constB20, B) <=> v123(constB20, B)))) | ((~less_3(bitIndex0)) | (v84(constB20, bitIndex0) <=> v123(constB20, bitIndex0)))),
% 8.48/6.02 inference(quant_inst,[status(thm)],[])).
% 8.48/6.02 tff(11572,plain,
% 8.48/6.02 ((~![B: $i] : ((~less_3(B)) | (v84(constB20, B) <=> v123(constB20, B)))) | (~less_3(bitIndex0)) | (v84(constB20, bitIndex0) <=> v123(constB20, bitIndex0))),
% 8.48/6.02 inference(modus_ponens,[status(thm)],[11571, 11570])).
% 8.48/6.02 tff(11573,plain,
% 8.48/6.02 (v84(constB20, bitIndex0) <=> v123(constB20, bitIndex0)),
% 8.48/6.02 inference(unit_resolution,[status(thm)],[11572, 9772, 11525])).
% 8.48/6.02 tff(11574,plain,
% 8.48/6.02 (((~![B: $i] : ((~less_3(B)) | (v123(constB20, B) <=> v121(constB19, B)))) | ((~less_3(bitIndex0)) | (v123(constB20, bitIndex0) <=> v121(constB19, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB20, B) <=> v121(constB19, B)))) | (~less_3(bitIndex0)) | (v123(constB20, bitIndex0) <=> v121(constB19, bitIndex0)))),
% 8.48/6.02 inference(rewrite,[status(thm)],[])).
% 8.48/6.02 tff(11575,plain,
% 8.48/6.02 ((~![B: $i] : ((~less_3(B)) | (v123(constB20, B) <=> v121(constB19, B)))) | ((~less_3(bitIndex0)) | (v123(constB20, bitIndex0) <=> v121(constB19, bitIndex0)))),
% 8.48/6.02 inference(quant_inst,[status(thm)],[])).
% 8.48/6.02 tff(11576,plain,
% 8.48/6.02 ((~![B: $i] : ((~less_3(B)) | (v123(constB20, B) <=> v121(constB19, B)))) | (~less_3(bitIndex0)) | (v123(constB20, bitIndex0) <=> v121(constB19, bitIndex0))),
% 8.48/6.02 inference(modus_ponens,[status(thm)],[11575, 11574])).
% 8.48/6.02 tff(11577,plain,
% 8.48/6.02 (v123(constB20, bitIndex0) <=> v121(constB19, bitIndex0)),
% 8.48/6.02 inference(unit_resolution,[status(thm)],[11576, 9772, 11533])).
% 8.48/6.02 tff(11578,plain,
% 8.48/6.02 (((~![B: $i] : ((~less_3(B)) | (v121(constB19, B) <=> v124(constB19, B)))) | ((~less_3(bitIndex0)) | (v121(constB19, bitIndex0) <=> v124(constB19, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB19, B) <=> v124(constB19, B)))) | (~less_3(bitIndex0)) | (v121(constB19, bitIndex0) <=> v124(constB19, bitIndex0)))),
% 8.48/6.02 inference(rewrite,[status(thm)],[])).
% 8.48/6.02 tff(11579,plain,
% 8.48/6.02 ((~![B: $i] : ((~less_3(B)) | (v121(constB19, B) <=> v124(constB19, B)))) | ((~less_3(bitIndex0)) | (v121(constB19, bitIndex0) <=> v124(constB19, bitIndex0)))),
% 8.48/6.02 inference(quant_inst,[status(thm)],[])).
% 8.48/6.02 tff(11580,plain,
% 8.48/6.02 ((~![B: $i] : ((~less_3(B)) | (v121(constB19, B) <=> v124(constB19, B)))) | (~less_3(bitIndex0)) | (v121(constB19, bitIndex0) <=> v124(constB19, bitIndex0))),
% 8.48/6.02 inference(modus_ponens,[status(thm)],[11579, 11578])).
% 8.48/6.02 tff(11581,plain,
% 8.48/6.02 (v121(constB19, bitIndex0) <=> v124(constB19, bitIndex0)),
% 8.48/6.02 inference(unit_resolution,[status(thm)],[11580, 9772, 11541])).
% 8.48/6.02 tff(11582,plain,
% 8.48/6.02 (((~![B: $i] : ((~less_3(B)) | (v124(constB19, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v124(constB19, bitIndex0) <=> b100(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB19, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v124(constB19, bitIndex0) <=> b100(bitIndex0)))),
% 8.48/6.02 inference(rewrite,[status(thm)],[])).
% 8.48/6.02 tff(11583,plain,
% 8.48/6.02 ((~![B: $i] : ((~less_3(B)) | (v124(constB19, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v124(constB19, bitIndex0) <=> b100(bitIndex0)))),
% 8.48/6.02 inference(quant_inst,[status(thm)],[])).
% 8.48/6.02 tff(11584,plain,
% 8.48/6.02 ((~![B: $i] : ((~less_3(B)) | (v124(constB19, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v124(constB19, bitIndex0) <=> b100(bitIndex0))),
% 8.48/6.02 inference(modus_ponens,[status(thm)],[11583, 11582])).
% 8.48/6.02 tff(11585,plain,
% 8.48/6.02 (v124(constB19, bitIndex0) <=> b100(bitIndex0)),
% 8.48/6.02 inference(unit_resolution,[status(thm)],[11584, 9772, 11550])).
% 8.48/6.02 tff(11586,plain,
% 8.48/6.02 ((~(v124(constB19, bitIndex0) <=> b100(bitIndex0))) | (~v124(constB19, bitIndex0)) | b100(bitIndex0)),
% 8.48/6.02 inference(tautology,[status(thm)],[])).
% 8.48/6.02 tff(11587,plain,
% 8.48/6.02 ((~(v124(constB19, bitIndex0) <=> b100(bitIndex0))) | (~v124(constB19, bitIndex0))),
% 8.48/6.02 inference(unit_resolution,[status(thm)],[11586, 10551])).
% 8.48/6.02 tff(11588,plain,
% 8.48/6.02 (~v124(constB19, bitIndex0)),
% 8.48/6.02 inference(unit_resolution,[status(thm)],[11587, 11585])).
% 8.48/6.02 tff(11589,plain,
% 8.48/6.02 ((~(v121(constB19, bitIndex0) <=> v124(constB19, bitIndex0))) | (~v121(constB19, bitIndex0)) | v124(constB19, bitIndex0)),
% 8.48/6.02 inference(tautology,[status(thm)],[])).
% 8.48/6.02 tff(11590,plain,
% 8.48/6.02 (~v121(constB19, bitIndex0)),
% 8.48/6.02 inference(unit_resolution,[status(thm)],[11589, 11588, 11581])).
% 8.48/6.02 tff(11591,plain,
% 8.48/6.02 ((~(v123(constB20, bitIndex0) <=> v121(constB19, bitIndex0))) | (~v123(constB20, bitIndex0)) | v121(constB19, bitIndex0)),
% 8.48/6.02 inference(tautology,[status(thm)],[])).
% 8.48/6.02 tff(11592,plain,
% 8.48/6.02 (~v123(constB20, bitIndex0)),
% 8.48/6.02 inference(unit_resolution,[status(thm)],[11591, 11590, 11577])).
% 8.48/6.02 tff(11593,plain,
% 8.48/6.02 ((~(v84(constB20, bitIndex0) <=> v123(constB20, bitIndex0))) | (~v84(constB20, bitIndex0)) | v123(constB20, bitIndex0)),
% 8.48/6.02 inference(tautology,[status(thm)],[])).
% 8.48/6.02 tff(11594,plain,
% 8.48/6.02 (~v84(constB20, bitIndex0)),
% 8.48/6.02 inference(unit_resolution,[status(thm)],[11593, 11592, 11573])).
% 8.48/6.02 tff(11595,plain,
% 8.48/6.02 ((~(v84(constB21, bitIndex0) <=> v84(constB20, bitIndex0))) | (~v84(constB21, bitIndex0)) | v84(constB20, bitIndex0)),
% 8.48/6.02 inference(tautology,[status(thm)],[])).
% 8.48/6.02 tff(11596,plain,
% 8.48/6.02 (~v84(constB21, bitIndex0)),
% 8.48/6.02 inference(unit_resolution,[status(thm)],[11595, 11594, 11569])).
% 8.48/6.02 tff(11597,plain,
% 8.48/6.02 (((~![B: $i] : ((~less_3(B)) | (v84(constB21, B) <=> v84(constB20, B)))) | ((~less_3(bitIndex1)) | (v84(constB21, bitIndex1) <=> v84(constB20, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB21, B) <=> v84(constB20, B)))) | (~less_3(bitIndex1)) | (v84(constB21, bitIndex1) <=> v84(constB20, bitIndex1)))),
% 8.48/6.02 inference(rewrite,[status(thm)],[])).
% 8.48/6.02 tff(11598,plain,
% 8.48/6.02 ((~![B: $i] : ((~less_3(B)) | (v84(constB21, B) <=> v84(constB20, B)))) | ((~less_3(bitIndex1)) | (v84(constB21, bitIndex1) <=> v84(constB20, bitIndex1)))),
% 8.48/6.02 inference(quant_inst,[status(thm)],[])).
% 8.48/6.02 tff(11599,plain,
% 8.48/6.02 ((~![B: $i] : ((~less_3(B)) | (v84(constB21, B) <=> v84(constB20, B)))) | (~less_3(bitIndex1)) | (v84(constB21, bitIndex1) <=> v84(constB20, bitIndex1))),
% 8.48/6.02 inference(modus_ponens,[status(thm)],[11598, 11597])).
% 8.48/6.02 tff(11600,plain,
% 8.48/6.02 (v84(constB21, bitIndex1) <=> v84(constB20, bitIndex1)),
% 8.48/6.02 inference(unit_resolution,[status(thm)],[11599, 9785, 8837])).
% 8.48/6.02 tff(11601,plain,
% 8.48/6.02 (((~![B: $i] : ((~less_3(B)) | (v84(constB20, B) <=> v123(constB20, B)))) | ((~less_3(bitIndex1)) | (v84(constB20, bitIndex1) <=> v123(constB20, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB20, B) <=> v123(constB20, B)))) | (~less_3(bitIndex1)) | (v84(constB20, bitIndex1) <=> v123(constB20, bitIndex1)))),
% 8.48/6.02 inference(rewrite,[status(thm)],[])).
% 8.48/6.02 tff(11602,plain,
% 8.48/6.02 ((~![B: $i] : ((~less_3(B)) | (v84(constB20, B) <=> v123(constB20, B)))) | ((~less_3(bitIndex1)) | (v84(constB20, bitIndex1) <=> v123(constB20, bitIndex1)))),
% 8.48/6.02 inference(quant_inst,[status(thm)],[])).
% 8.48/6.02 tff(11603,plain,
% 8.48/6.02 ((~![B: $i] : ((~less_3(B)) | (v84(constB20, B) <=> v123(constB20, B)))) | (~less_3(bitIndex1)) | (v84(constB20, bitIndex1) <=> v123(constB20, bitIndex1))),
% 8.48/6.02 inference(modus_ponens,[status(thm)],[11602, 11601])).
% 8.48/6.02 tff(11604,plain,
% 8.48/6.02 (v84(constB20, bitIndex1) <=> v123(constB20, bitIndex1)),
% 8.48/6.02 inference(unit_resolution,[status(thm)],[11603, 9785, 11525])).
% 8.48/6.02 tff(11605,plain,
% 8.48/6.02 (((~![B: $i] : ((~less_3(B)) | (v123(constB20, B) <=> v121(constB19, B)))) | ((~less_3(bitIndex1)) | (v123(constB20, bitIndex1) <=> v121(constB19, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB20, B) <=> v121(constB19, B)))) | (~less_3(bitIndex1)) | (v123(constB20, bitIndex1) <=> v121(constB19, bitIndex1)))),
% 8.48/6.02 inference(rewrite,[status(thm)],[])).
% 8.48/6.02 tff(11606,plain,
% 8.48/6.02 ((~![B: $i] : ((~less_3(B)) | (v123(constB20, B) <=> v121(constB19, B)))) | ((~less_3(bitIndex1)) | (v123(constB20, bitIndex1) <=> v121(constB19, bitIndex1)))),
% 8.48/6.02 inference(quant_inst,[status(thm)],[])).
% 8.48/6.02 tff(11607,plain,
% 8.48/6.02 ((~![B: $i] : ((~less_3(B)) | (v123(constB20, B) <=> v121(constB19, B)))) | (~less_3(bitIndex1)) | (v123(constB20, bitIndex1) <=> v121(constB19, bitIndex1))),
% 8.48/6.02 inference(modus_ponens,[status(thm)],[11606, 11605])).
% 8.48/6.02 tff(11608,plain,
% 8.48/6.02 (v123(constB20, bitIndex1) <=> v121(constB19, bitIndex1)),
% 8.48/6.02 inference(unit_resolution,[status(thm)],[11607, 9785, 11533])).
% 8.48/6.02 tff(11609,plain,
% 8.48/6.02 (((~![B: $i] : ((~less_3(B)) | (v121(constB19, B) <=> v124(constB19, B)))) | ((~less_3(bitIndex1)) | (v121(constB19, bitIndex1) <=> v124(constB19, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB19, B) <=> v124(constB19, B)))) | (~less_3(bitIndex1)) | (v121(constB19, bitIndex1) <=> v124(constB19, bitIndex1)))),
% 8.48/6.02 inference(rewrite,[status(thm)],[])).
% 8.48/6.02 tff(11610,plain,
% 8.48/6.02 ((~![B: $i] : ((~less_3(B)) | (v121(constB19, B) <=> v124(constB19, B)))) | ((~less_3(bitIndex1)) | (v121(constB19, bitIndex1) <=> v124(constB19, bitIndex1)))),
% 8.48/6.02 inference(quant_inst,[status(thm)],[])).
% 8.48/6.02 tff(11611,plain,
% 8.48/6.02 ((~![B: $i] : ((~less_3(B)) | (v121(constB19, B) <=> v124(constB19, B)))) | (~less_3(bitIndex1)) | (v121(constB19, bitIndex1) <=> v124(constB19, bitIndex1))),
% 8.48/6.02 inference(modus_ponens,[status(thm)],[11610, 11609])).
% 8.48/6.02 tff(11612,plain,
% 8.48/6.02 (v121(constB19, bitIndex1) <=> v124(constB19, bitIndex1)),
% 8.48/6.02 inference(unit_resolution,[status(thm)],[11611, 9785, 11541])).
% 8.48/6.02 tff(11613,plain,
% 8.48/6.02 (((~![B: $i] : ((~less_3(B)) | (v124(constB19, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v124(constB19, bitIndex1) <=> b100(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB19, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v124(constB19, bitIndex1) <=> b100(bitIndex1)))),
% 8.48/6.02 inference(rewrite,[status(thm)],[])).
% 8.48/6.02 tff(11614,plain,
% 8.48/6.02 ((~![B: $i] : ((~less_3(B)) | (v124(constB19, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v124(constB19, bitIndex1) <=> b100(bitIndex1)))),
% 8.48/6.02 inference(quant_inst,[status(thm)],[])).
% 8.48/6.02 tff(11615,plain,
% 8.48/6.02 ((~![B: $i] : ((~less_3(B)) | (v124(constB19, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v124(constB19, bitIndex1) <=> b100(bitIndex1))),
% 8.48/6.02 inference(modus_ponens,[status(thm)],[11614, 11613])).
% 8.48/6.02 tff(11616,plain,
% 8.48/6.02 (v124(constB19, bitIndex1) <=> b100(bitIndex1)),
% 8.48/6.02 inference(unit_resolution,[status(thm)],[11615, 9785, 11550])).
% 8.48/6.02 tff(11617,plain,
% 8.48/6.02 ((~(v124(constB19, bitIndex1) <=> b100(bitIndex1))) | (~v124(constB19, bitIndex1)) | b100(bitIndex1)),
% 8.48/6.02 inference(tautology,[status(thm)],[])).
% 8.48/6.02 tff(11618,plain,
% 8.48/6.02 ((~(v124(constB19, bitIndex1) <=> b100(bitIndex1))) | (~v124(constB19, bitIndex1))),
% 8.48/6.02 inference(unit_resolution,[status(thm)],[11617, 10585])).
% 8.48/6.02 tff(11619,plain,
% 8.48/6.02 (~v124(constB19, bitIndex1)),
% 8.48/6.02 inference(unit_resolution,[status(thm)],[11618, 11616])).
% 8.48/6.02 tff(11620,plain,
% 8.48/6.02 ((~(v121(constB19, bitIndex1) <=> v124(constB19, bitIndex1))) | (~v121(constB19, bitIndex1)) | v124(constB19, bitIndex1)),
% 8.48/6.02 inference(tautology,[status(thm)],[])).
% 8.48/6.02 tff(11621,plain,
% 8.48/6.02 (~v121(constB19, bitIndex1)),
% 8.48/6.02 inference(unit_resolution,[status(thm)],[11620, 11619, 11612])).
% 8.48/6.02 tff(11622,plain,
% 8.48/6.02 ((~(v123(constB20, bitIndex1) <=> v121(constB19, bitIndex1))) | (~v123(constB20, bitIndex1)) | v121(constB19, bitIndex1)),
% 8.48/6.02 inference(tautology,[status(thm)],[])).
% 8.48/6.02 tff(11623,plain,
% 8.48/6.02 (~v123(constB20, bitIndex1)),
% 8.48/6.02 inference(unit_resolution,[status(thm)],[11622, 11621, 11608])).
% 8.48/6.02 tff(11624,plain,
% 8.48/6.02 ((~(v84(constB20, bitIndex1) <=> v123(constB20, bitIndex1))) | (~v84(constB20, bitIndex1)) | v123(constB20, bitIndex1)),
% 8.48/6.02 inference(tautology,[status(thm)],[])).
% 8.48/6.02 tff(11625,plain,
% 8.48/6.02 (~v84(constB20, bitIndex1)),
% 8.48/6.02 inference(unit_resolution,[status(thm)],[11624, 11623, 11604])).
% 8.48/6.02 tff(11626,plain,
% 8.48/6.02 ((~(v84(constB21, bitIndex1) <=> v84(constB20, bitIndex1))) | (~v84(constB21, bitIndex1)) | v84(constB20, bitIndex1)),
% 8.48/6.02 inference(tautology,[status(thm)],[])).
% 8.48/6.02 tff(11627,plain,
% 8.48/6.02 (~v84(constB21, bitIndex1)),
% 8.48/6.02 inference(unit_resolution,[status(thm)],[11626, 11625, 11600])).
% 8.48/6.02 tff(11628,plain,
% 8.48/6.02 ((~((~v84(constB21, bitIndex2)) | v84(constB21, bitIndex1) | v84(constB21, bitIndex0))) | (~v84(constB21, bitIndex2)) | v84(constB21, bitIndex1) | v84(constB21, bitIndex0)),
% 8.48/6.02 inference(tautology,[status(thm)],[])).
% 8.48/6.02 tff(11629,plain,
% 8.48/6.02 (~((~v84(constB21, bitIndex2)) | v84(constB21, bitIndex1) | v84(constB21, bitIndex0))),
% 8.48/6.02 inference(unit_resolution,[status(thm)],[11628, 11627, 11596, 11565])).
% 8.48/6.02 tff(11630,plain,
% 8.48/6.02 ((~(v117(constB21) <=> (~((~v84(constB21, bitIndex2)) | v84(constB21, bitIndex1) | v84(constB21, bitIndex0))))) | v117(constB21) | ((~v84(constB21, bitIndex2)) | v84(constB21, bitIndex1) | v84(constB21, bitIndex0))),
% 8.48/6.02 inference(tautology,[status(thm)],[])).
% 8.48/6.02 tff(11631,plain,
% 8.48/6.02 (v117(constB21)),
% 8.48/6.02 inference(unit_resolution,[status(thm)],[11630, 11629, 8809])).
% 8.48/6.02 tff(11632,plain,
% 8.48/6.02 ((v110(constB21) | v117(constB21)) | (~v117(constB21))),
% 8.48/6.02 inference(tautology,[status(thm)],[])).
% 8.48/6.02 tff(11633,plain,
% 8.48/6.02 (v110(constB21) | v117(constB21)),
% 8.48/6.02 inference(unit_resolution,[status(thm)],[11632, 11631])).
% 8.48/6.02 tff(11634,plain,
% 8.48/6.02 ((~(v109(constB21) <=> (v110(constB21) | v117(constB21)))) | v109(constB21) | (~(v110(constB21) | v117(constB21)))),
% 8.48/6.02 inference(tautology,[status(thm)],[])).
% 8.48/6.02 tff(11635,plain,
% 8.48/6.02 (v109(constB21)),
% 8.48/6.02 inference(unit_resolution,[status(thm)],[11634, 11633, 8802])).
% 8.48/6.02 tff(11636,plain,
% 8.48/6.02 ((v109(constB21) | v118(constB21)) | (~v109(constB21))),
% 8.48/6.02 inference(tautology,[status(thm)],[])).
% 8.48/6.02 tff(11637,plain,
% 8.48/6.02 (v109(constB21) | v118(constB21)),
% 8.48/6.02 inference(unit_resolution,[status(thm)],[11636, 11635])).
% 8.48/6.02 tff(11638,plain,
% 8.48/6.02 ((~(v108(constB21) <=> (v109(constB21) | v118(constB21)))) | v108(constB21) | (~(v109(constB21) | v118(constB21)))),
% 8.48/6.02 inference(tautology,[status(thm)],[])).
% 8.48/6.02 tff(11639,plain,
% 8.48/6.02 (v108(constB21)),
% 8.48/6.02 inference(unit_resolution,[status(thm)],[11638, 11637, 8800])).
% 8.48/6.02 tff(11640,plain,
% 8.48/6.02 ((v108(constB21) | v119(constB21)) | (~v108(constB21))),
% 8.48/6.02 inference(tautology,[status(thm)],[])).
% 8.48/6.02 tff(11641,plain,
% 8.48/6.02 (v108(constB21) | v119(constB21)),
% 8.48/6.02 inference(unit_resolution,[status(thm)],[11640, 11639])).
% 8.48/6.02 tff(11642,plain,
% 8.48/6.02 ((~(v107(constB21) <=> (v108(constB21) | v119(constB21)))) | v107(constB21) | (~(v108(constB21) | v119(constB21)))),
% 8.48/6.02 inference(tautology,[status(thm)],[])).
% 8.48/6.02 tff(11643,plain,
% 8.48/6.02 (v107(constB21)),
% 8.48/6.02 inference(unit_resolution,[status(thm)],[11642, 11641, 8798])).
% 8.48/6.02 tff(11644,plain,
% 8.48/6.02 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB21)) <=> v105(constB21))),
% 8.48/6.02 inference(quant_inst,[status(thm)],[])).
% 8.48/6.02 tff(11645,plain,
% 8.48/6.02 ((~v120(constB21)) <=> v105(constB21)),
% 8.48/6.02 inference(unit_resolution,[status(thm)],[11644, 9842])).
% 8.48/6.02 tff(11646,plain,
% 8.48/6.02 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB21) <=> v26(constB21))),
% 8.48/6.02 inference(quant_inst,[status(thm)],[])).
% 8.48/6.02 tff(11647,plain,
% 8.48/6.02 (v105(constB21) <=> v26(constB21)),
% 8.48/6.02 inference(unit_resolution,[status(thm)],[11646, 9854])).
% 8.48/6.02 tff(11648,plain,
% 8.48/6.02 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB21))),
% 8.48/6.02 inference(quant_inst,[status(thm)],[])).
% 8.48/6.02 tff(11649,plain,
% 8.48/6.02 (~v26(constB21)),
% 8.48/6.02 inference(unit_resolution,[status(thm)],[11648, 9866])).
% 8.48/6.02 tff(11650,plain,
% 8.48/6.02 ((~(v105(constB21) <=> v26(constB21))) | (~v105(constB21)) | v26(constB21)),
% 8.48/6.02 inference(tautology,[status(thm)],[])).
% 8.48/6.02 tff(11651,plain,
% 8.48/6.02 ((~(v105(constB21) <=> v26(constB21))) | (~v105(constB21))),
% 8.48/6.02 inference(unit_resolution,[status(thm)],[11650, 11649])).
% 8.48/6.02 tff(11652,plain,
% 8.48/6.02 (~v105(constB21)),
% 8.48/6.02 inference(unit_resolution,[status(thm)],[11651, 11647])).
% 8.48/6.02 tff(11653,plain,
% 8.48/6.02 ((~((~v120(constB21)) <=> v105(constB21))) | v120(constB21) | v105(constB21)),
% 8.48/6.02 inference(tautology,[status(thm)],[])).
% 8.48/6.02 tff(11654,plain,
% 8.48/6.02 ((~((~v120(constB21)) <=> v105(constB21))) | v120(constB21)),
% 8.48/6.02 inference(unit_resolution,[status(thm)],[11653, 11652])).
% 8.48/6.02 tff(11655,plain,
% 8.48/6.02 (v120(constB21)),
% 8.48/6.02 inference(unit_resolution,[status(thm)],[11654, 11645])).
% 8.48/6.02 tff(11656,plain,
% 8.48/6.02 ((~((~v107(constB21)) | (~v120(constB21)))) | (~v107(constB21)) | (~v120(constB21))),
% 8.48/6.02 inference(tautology,[status(thm)],[])).
% 8.48/6.02 tff(11657,plain,
% 8.48/6.02 ((~((~v107(constB21)) | (~v120(constB21)))) | (~v107(constB21))),
% 8.48/6.02 inference(unit_resolution,[status(thm)],[11656, 11655])).
% 8.48/6.02 tff(11658,plain,
% 8.48/6.02 (~((~v107(constB21)) | (~v120(constB21)))),
% 8.48/6.02 inference(unit_resolution,[status(thm)],[11657, 11643])).
% 8.48/6.02 tff(11659,plain,
% 8.48/6.02 ((~(v106(constB21) <=> (~((~v107(constB21)) | (~v120(constB21)))))) | v106(constB21) | ((~v107(constB21)) | (~v120(constB21)))),
% 8.48/6.02 inference(tautology,[status(thm)],[])).
% 8.48/6.02 tff(11660,plain,
% 8.48/6.02 (v106(constB21)),
% 8.48/6.02 inference(unit_resolution,[status(thm)],[11659, 11658, 8796])).
% 8.48/6.02 tff(11661,plain,
% 8.48/6.02 ((v105(constB21) | v106(constB21)) | (~v106(constB21))),
% 8.48/6.02 inference(tautology,[status(thm)],[])).
% 8.48/6.02 tff(11662,plain,
% 8.48/6.02 (v105(constB21) | v106(constB21)),
% 8.48/6.02 inference(unit_resolution,[status(thm)],[11661, 11660])).
% 8.48/6.02 tff(11663,plain,
% 8.48/6.02 ((~(v102(constB21) <=> (v105(constB21) | v106(constB21)))) | v102(constB21) | (~(v105(constB21) | v106(constB21)))),
% 8.48/6.02 inference(tautology,[status(thm)],[])).
% 8.48/6.02 tff(11664,plain,
% 8.48/6.02 (v102(constB21)),
% 8.48/6.02 inference(unit_resolution,[status(thm)],[11663, 11662, 8794])).
% 8.48/6.02 tff(11665,plain,
% 8.48/6.02 ((~(v104(constB22) <=> v102(constB21))) | v104(constB22) | (~v102(constB21))),
% 8.48/6.02 inference(tautology,[status(thm)],[])).
% 8.48/6.02 tff(11666,plain,
% 8.48/6.02 (v104(constB22)),
% 8.48/6.02 inference(unit_resolution,[status(thm)],[11665, 11664, 8792])).
% 8.48/6.02 tff(11667,plain,
% 8.48/6.02 ((~((~v104(constB22)) | (~v95(constB22)))) | (~v104(constB22)) | (~v95(constB22))),
% 8.48/6.02 inference(tautology,[status(thm)],[])).
% 8.48/6.02 tff(11668,plain,
% 8.48/6.02 (~((~v104(constB22)) | (~v95(constB22)))),
% 8.48/6.02 inference(unit_resolution,[status(thm)],[11667, 11666, 8788])).
% 8.48/6.02 tff(11669,plain,
% 8.48/6.02 ((~(v94(constB22) <=> (~((~v104(constB22)) | (~v95(constB22)))))) | v94(constB22) | ((~v104(constB22)) | (~v95(constB22)))),
% 8.48/6.02 inference(tautology,[status(thm)],[])).
% 8.48/6.02 tff(11670,plain,
% 8.48/6.02 (v94(constB22)),
% 8.48/6.02 inference(unit_resolution,[status(thm)],[11669, 11668, 8757])).
% 8.48/6.02 tff(11671,plain,
% 8.48/6.02 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB22)) | ![B: $i] : ((~less_3(B)) | (v84(constB22, B) <=> v123(constB22, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB22)) | ![B: $i] : ((~less_3(B)) | (v84(constB22, B) <=> v123(constB22, B))))),
% 8.48/6.02 inference(rewrite,[status(thm)],[])).
% 8.48/6.02 tff(11672,plain,
% 8.48/6.02 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB22)) | ![B: $i] : ((~less_3(B)) | (v84(constB22, B) <=> v123(constB22, B))))),
% 8.48/6.02 inference(quant_inst,[status(thm)],[])).
% 8.48/6.02 tff(11673,plain,
% 8.48/6.02 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB22)) | ![B: $i] : ((~less_3(B)) | (v84(constB22, B) <=> v123(constB22, B)))),
% 8.48/6.02 inference(modus_ponens,[status(thm)],[11672, 11671])).
% 8.48/6.02 tff(11674,plain,
% 8.48/6.02 ((~v94(constB22)) | ![B: $i] : ((~less_3(B)) | (v84(constB22, B) <=> v123(constB22, B)))),
% 8.48/6.02 inference(unit_resolution,[status(thm)],[11673, 9902])).
% 8.48/6.02 tff(11675,plain,
% 8.48/6.02 (![B: $i] : ((~less_3(B)) | (v84(constB22, B) <=> v123(constB22, B)))),
% 8.48/6.02 inference(unit_resolution,[status(thm)],[11674, 11670])).
% 8.48/6.02 tff(11676,plain,
% 8.48/6.02 (((~![B: $i] : ((~less_3(B)) | (v84(constB22, B) <=> v123(constB22, B)))) | ((~less_3(bitIndex2)) | (v84(constB22, bitIndex2) <=> v123(constB22, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB22, B) <=> v123(constB22, B)))) | (~less_3(bitIndex2)) | (v84(constB22, bitIndex2) <=> v123(constB22, bitIndex2)))),
% 8.48/6.02 inference(rewrite,[status(thm)],[])).
% 8.48/6.02 tff(11677,plain,
% 8.48/6.02 ((~![B: $i] : ((~less_3(B)) | (v84(constB22, B) <=> v123(constB22, B)))) | ((~less_3(bitIndex2)) | (v84(constB22, bitIndex2) <=> v123(constB22, bitIndex2)))),
% 8.48/6.02 inference(quant_inst,[status(thm)],[])).
% 8.48/6.02 tff(11678,plain,
% 8.48/6.02 ((~![B: $i] : ((~less_3(B)) | (v84(constB22, B) <=> v123(constB22, B)))) | (~less_3(bitIndex2)) | (v84(constB22, bitIndex2) <=> v123(constB22, bitIndex2))),
% 8.48/6.02 inference(modus_ponens,[status(thm)],[11677, 11676])).
% 8.48/6.02 tff(11679,plain,
% 8.48/6.02 (v84(constB22, bitIndex2) <=> v123(constB22, bitIndex2)),
% 8.48/6.02 inference(unit_resolution,[status(thm)],[11678, 832, 11675])).
% 8.48/6.02 tff(11680,plain,
% 8.48/6.02 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB21, constB22)) | ![B: $i] : ((~less_3(B)) | (v123(constB22, B) <=> v121(constB21, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB21, constB22)) | ![B: $i] : ((~less_3(B)) | (v123(constB22, B) <=> v121(constB21, B))))),
% 8.48/6.02 inference(rewrite,[status(thm)],[])).
% 8.48/6.02 tff(11681,plain,
% 8.48/6.02 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB21, constB22)) | ![B: $i] : ((~less_3(B)) | (v123(constB22, B) <=> v121(constB21, B))))),
% 8.48/6.02 inference(quant_inst,[status(thm)],[])).
% 8.48/6.02 tff(11682,plain,
% 8.48/6.02 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB21, constB22)) | ![B: $i] : ((~less_3(B)) | (v123(constB22, B) <=> v121(constB21, B)))),
% 8.48/6.02 inference(modus_ponens,[status(thm)],[11681, 11680])).
% 8.48/6.02 tff(11683,plain,
% 8.48/6.02 (![B: $i] : ((~less_3(B)) | (v123(constB22, B) <=> v121(constB21, B)))),
% 8.48/6.02 inference(unit_resolution,[status(thm)],[11682, 8753, 9924])).
% 8.48/6.02 tff(11684,plain,
% 8.48/6.02 (((~![B: $i] : ((~less_3(B)) | (v123(constB22, B) <=> v121(constB21, B)))) | ((~less_3(bitIndex2)) | (v123(constB22, bitIndex2) <=> v121(constB21, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB22, B) <=> v121(constB21, B)))) | (~less_3(bitIndex2)) | (v123(constB22, bitIndex2) <=> v121(constB21, bitIndex2)))),
% 8.48/6.03 inference(rewrite,[status(thm)],[])).
% 8.48/6.03 tff(11685,plain,
% 8.48/6.03 ((~![B: $i] : ((~less_3(B)) | (v123(constB22, B) <=> v121(constB21, B)))) | ((~less_3(bitIndex2)) | (v123(constB22, bitIndex2) <=> v121(constB21, bitIndex2)))),
% 8.48/6.03 inference(quant_inst,[status(thm)],[])).
% 8.48/6.03 tff(11686,plain,
% 8.48/6.03 ((~![B: $i] : ((~less_3(B)) | (v123(constB22, B) <=> v121(constB21, B)))) | (~less_3(bitIndex2)) | (v123(constB22, bitIndex2) <=> v121(constB21, bitIndex2))),
% 8.48/6.03 inference(modus_ponens,[status(thm)],[11685, 11684])).
% 8.48/6.03 tff(11687,plain,
% 8.48/6.03 (v123(constB22, bitIndex2) <=> v121(constB21, bitIndex2)),
% 8.48/6.03 inference(unit_resolution,[status(thm)],[11686, 832, 11683])).
% 8.48/6.03 tff(11688,plain,
% 8.48/6.03 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB21) | ![B: $i] : ((~less_3(B)) | (v121(constB21, B) <=> v124(constB21, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB21) | ![B: $i] : ((~less_3(B)) | (v121(constB21, B) <=> v124(constB21, B))))),
% 8.48/6.03 inference(rewrite,[status(thm)],[])).
% 8.48/6.03 tff(11689,plain,
% 8.48/6.03 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB21) | ![B: $i] : ((~less_3(B)) | (v121(constB21, B) <=> v124(constB21, B))))),
% 8.48/6.03 inference(quant_inst,[status(thm)],[])).
% 8.48/6.03 tff(11690,plain,
% 8.48/6.03 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB21) | ![B: $i] : ((~less_3(B)) | (v121(constB21, B) <=> v124(constB21, B)))),
% 8.48/6.03 inference(modus_ponens,[status(thm)],[11689, 11688])).
% 8.48/6.03 tff(11691,plain,
% 8.48/6.03 (![B: $i] : ((~less_3(B)) | (v121(constB21, B) <=> v124(constB21, B)))),
% 8.48/6.03 inference(unit_resolution,[status(thm)],[11690, 9945, 11652])).
% 8.48/6.03 tff(11692,plain,
% 8.48/6.03 (((~![B: $i] : ((~less_3(B)) | (v121(constB21, B) <=> v124(constB21, B)))) | ((~less_3(bitIndex2)) | (v121(constB21, bitIndex2) <=> v124(constB21, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB21, B) <=> v124(constB21, B)))) | (~less_3(bitIndex2)) | (v121(constB21, bitIndex2) <=> v124(constB21, bitIndex2)))),
% 8.48/6.03 inference(rewrite,[status(thm)],[])).
% 8.48/6.03 tff(11693,plain,
% 8.48/6.03 ((~![B: $i] : ((~less_3(B)) | (v121(constB21, B) <=> v124(constB21, B)))) | ((~less_3(bitIndex2)) | (v121(constB21, bitIndex2) <=> v124(constB21, bitIndex2)))),
% 8.48/6.03 inference(quant_inst,[status(thm)],[])).
% 8.48/6.03 tff(11694,plain,
% 8.48/6.03 ((~![B: $i] : ((~less_3(B)) | (v121(constB21, B) <=> v124(constB21, B)))) | (~less_3(bitIndex2)) | (v121(constB21, bitIndex2) <=> v124(constB21, bitIndex2))),
% 8.48/6.03 inference(modus_ponens,[status(thm)],[11693, 11692])).
% 8.48/6.03 tff(11695,plain,
% 8.48/6.03 (v121(constB21, bitIndex2) <=> v124(constB21, bitIndex2)),
% 8.48/6.03 inference(unit_resolution,[status(thm)],[11694, 832, 11691])).
% 8.48/6.03 tff(11696,plain,
% 8.48/6.03 (((~![VarCurr: $i] : ((~v117(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b101(B))))) | ((~v117(constB21)) | ![B: $i] : ((~less_3(B)) | (v124(constB21, B) <=> b101(B))))) <=> ((~![VarCurr: $i] : ((~v117(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b101(B))))) | (~v117(constB21)) | ![B: $i] : ((~less_3(B)) | (v124(constB21, B) <=> b101(B))))),
% 8.48/6.03 inference(rewrite,[status(thm)],[])).
% 8.48/6.03 tff(11697,plain,
% 8.48/6.03 ((~![VarCurr: $i] : ((~v117(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b101(B))))) | ((~v117(constB21)) | ![B: $i] : ((~less_3(B)) | (v124(constB21, B) <=> b101(B))))),
% 8.48/6.03 inference(quant_inst,[status(thm)],[])).
% 8.48/6.03 tff(11698,plain,
% 8.48/6.03 ((~![VarCurr: $i] : ((~v117(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b101(B))))) | (~v117(constB21)) | ![B: $i] : ((~less_3(B)) | (v124(constB21, B) <=> b101(B)))),
% 8.48/6.03 inference(modus_ponens,[status(thm)],[11697, 11696])).
% 8.48/6.03 tff(11699,plain,
% 8.48/6.03 ((~v117(constB21)) | ![B: $i] : ((~less_3(B)) | (v124(constB21, B) <=> b101(B)))),
% 8.48/6.03 inference(unit_resolution,[status(thm)],[11698, 10677])).
% 8.48/6.03 tff(11700,plain,
% 8.48/6.03 (![B: $i] : ((~less_3(B)) | (v124(constB21, B) <=> b101(B)))),
% 8.48/6.03 inference(unit_resolution,[status(thm)],[11699, 11631])).
% 8.48/6.03 tff(11701,plain,
% 8.48/6.03 (((~![B: $i] : ((~less_3(B)) | (v124(constB21, B) <=> b101(B)))) | ((~less_3(bitIndex2)) | (v124(constB21, bitIndex2) <=> b101(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB21, B) <=> b101(B)))) | (~less_3(bitIndex2)) | (v124(constB21, bitIndex2) <=> b101(bitIndex2)))),
% 8.48/6.03 inference(rewrite,[status(thm)],[])).
% 8.48/6.03 tff(11702,plain,
% 8.48/6.03 ((~![B: $i] : ((~less_3(B)) | (v124(constB21, B) <=> b101(B)))) | ((~less_3(bitIndex2)) | (v124(constB21, bitIndex2) <=> b101(bitIndex2)))),
% 8.48/6.03 inference(quant_inst,[status(thm)],[])).
% 8.48/6.03 tff(11703,plain,
% 8.48/6.03 ((~![B: $i] : ((~less_3(B)) | (v124(constB21, B) <=> b101(B)))) | (~less_3(bitIndex2)) | (v124(constB21, bitIndex2) <=> b101(bitIndex2))),
% 8.48/6.03 inference(modus_ponens,[status(thm)],[11702, 11701])).
% 8.48/6.03 tff(11704,plain,
% 8.48/6.03 (v124(constB21, bitIndex2) <=> b101(bitIndex2)),
% 8.48/6.03 inference(unit_resolution,[status(thm)],[11703, 832, 11700])).
% 8.48/6.03 tff(11705,plain,
% 8.48/6.03 ((~(v124(constB21, bitIndex2) <=> b101(bitIndex2))) | v124(constB21, bitIndex2) | (~b101(bitIndex2))),
% 8.48/6.03 inference(tautology,[status(thm)],[])).
% 8.48/6.03 tff(11706,plain,
% 8.48/6.03 ((~(v124(constB21, bitIndex2) <=> b101(bitIndex2))) | v124(constB21, bitIndex2)),
% 8.48/6.03 inference(unit_resolution,[status(thm)],[11705, 10689])).
% 8.48/6.03 tff(11707,plain,
% 8.48/6.03 (v124(constB21, bitIndex2)),
% 8.48/6.03 inference(unit_resolution,[status(thm)],[11706, 11704])).
% 8.48/6.03 tff(11708,plain,
% 8.48/6.03 ((~(v121(constB21, bitIndex2) <=> v124(constB21, bitIndex2))) | v121(constB21, bitIndex2) | (~v124(constB21, bitIndex2))),
% 8.48/6.03 inference(tautology,[status(thm)],[])).
% 8.48/6.03 tff(11709,plain,
% 8.48/6.03 (v121(constB21, bitIndex2)),
% 8.48/6.03 inference(unit_resolution,[status(thm)],[11708, 11707, 11695])).
% 8.48/6.03 tff(11710,plain,
% 8.48/6.03 ((~(v123(constB22, bitIndex2) <=> v121(constB21, bitIndex2))) | v123(constB22, bitIndex2) | (~v121(constB21, bitIndex2))),
% 8.48/6.03 inference(tautology,[status(thm)],[])).
% 8.48/6.03 tff(11711,plain,
% 8.48/6.03 (v123(constB22, bitIndex2)),
% 8.48/6.03 inference(unit_resolution,[status(thm)],[11710, 11709, 11687])).
% 8.48/6.03 tff(11712,plain,
% 8.48/6.03 ((~(v84(constB22, bitIndex2) <=> v123(constB22, bitIndex2))) | v84(constB22, bitIndex2) | (~v123(constB22, bitIndex2))),
% 8.48/6.03 inference(tautology,[status(thm)],[])).
% 8.48/6.03 tff(11713,plain,
% 8.48/6.03 (v84(constB22, bitIndex2)),
% 8.48/6.03 inference(unit_resolution,[status(thm)],[11712, 11711, 11679])).
% 8.48/6.03 tff(11714,plain,
% 8.48/6.03 ((~(v84(constB23, bitIndex2) <=> v84(constB22, bitIndex2))) | v84(constB23, bitIndex2) | (~v84(constB22, bitIndex2))),
% 8.48/6.03 inference(tautology,[status(thm)],[])).
% 8.48/6.03 tff(11715,plain,
% 8.48/6.03 (v84(constB23, bitIndex2)),
% 8.48/6.03 inference(unit_resolution,[status(thm)],[11714, 11713, 8750])).
% 8.48/6.03 tff(11716,plain,
% 8.48/6.03 (((~![B: $i] : ((~less_3(B)) | (v84(constB23, B) <=> v84(constB22, B)))) | ((~less_3(bitIndex0)) | (v84(constB23, bitIndex0) <=> v84(constB22, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB23, B) <=> v84(constB22, B)))) | (~less_3(bitIndex0)) | (v84(constB23, bitIndex0) <=> v84(constB22, bitIndex0)))),
% 8.48/6.03 inference(rewrite,[status(thm)],[])).
% 8.48/6.03 tff(11717,plain,
% 8.48/6.03 ((~![B: $i] : ((~less_3(B)) | (v84(constB23, B) <=> v84(constB22, B)))) | ((~less_3(bitIndex0)) | (v84(constB23, bitIndex0) <=> v84(constB22, bitIndex0)))),
% 8.48/6.03 inference(quant_inst,[status(thm)],[])).
% 8.48/6.03 tff(11718,plain,
% 8.48/6.03 ((~![B: $i] : ((~less_3(B)) | (v84(constB23, B) <=> v84(constB22, B)))) | (~less_3(bitIndex0)) | (v84(constB23, bitIndex0) <=> v84(constB22, bitIndex0))),
% 8.48/6.03 inference(modus_ponens,[status(thm)],[11717, 11716])).
% 8.48/6.03 tff(11719,plain,
% 8.48/6.03 (v84(constB23, bitIndex0) <=> v84(constB22, bitIndex0)),
% 8.48/6.03 inference(unit_resolution,[status(thm)],[11718, 9772, 8746])).
% 8.48/6.03 tff(11720,plain,
% 8.48/6.03 (((~![B: $i] : ((~less_3(B)) | (v84(constB22, B) <=> v123(constB22, B)))) | ((~less_3(bitIndex0)) | (v84(constB22, bitIndex0) <=> v123(constB22, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB22, B) <=> v123(constB22, B)))) | (~less_3(bitIndex0)) | (v84(constB22, bitIndex0) <=> v123(constB22, bitIndex0)))),
% 8.48/6.03 inference(rewrite,[status(thm)],[])).
% 8.48/6.03 tff(11721,plain,
% 8.48/6.03 ((~![B: $i] : ((~less_3(B)) | (v84(constB22, B) <=> v123(constB22, B)))) | ((~less_3(bitIndex0)) | (v84(constB22, bitIndex0) <=> v123(constB22, bitIndex0)))),
% 8.48/6.03 inference(quant_inst,[status(thm)],[])).
% 8.48/6.03 tff(11722,plain,
% 8.48/6.03 ((~![B: $i] : ((~less_3(B)) | (v84(constB22, B) <=> v123(constB22, B)))) | (~less_3(bitIndex0)) | (v84(constB22, bitIndex0) <=> v123(constB22, bitIndex0))),
% 8.48/6.03 inference(modus_ponens,[status(thm)],[11721, 11720])).
% 8.48/6.03 tff(11723,plain,
% 8.48/6.03 (v84(constB22, bitIndex0) <=> v123(constB22, bitIndex0)),
% 8.48/6.03 inference(unit_resolution,[status(thm)],[11722, 9772, 11675])).
% 8.48/6.03 tff(11724,plain,
% 8.48/6.03 (((~![B: $i] : ((~less_3(B)) | (v123(constB22, B) <=> v121(constB21, B)))) | ((~less_3(bitIndex0)) | (v123(constB22, bitIndex0) <=> v121(constB21, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB22, B) <=> v121(constB21, B)))) | (~less_3(bitIndex0)) | (v123(constB22, bitIndex0) <=> v121(constB21, bitIndex0)))),
% 8.48/6.03 inference(rewrite,[status(thm)],[])).
% 8.48/6.03 tff(11725,plain,
% 8.48/6.03 ((~![B: $i] : ((~less_3(B)) | (v123(constB22, B) <=> v121(constB21, B)))) | ((~less_3(bitIndex0)) | (v123(constB22, bitIndex0) <=> v121(constB21, bitIndex0)))),
% 8.48/6.03 inference(quant_inst,[status(thm)],[])).
% 8.48/6.03 tff(11726,plain,
% 8.48/6.03 ((~![B: $i] : ((~less_3(B)) | (v123(constB22, B) <=> v121(constB21, B)))) | (~less_3(bitIndex0)) | (v123(constB22, bitIndex0) <=> v121(constB21, bitIndex0))),
% 8.48/6.03 inference(modus_ponens,[status(thm)],[11725, 11724])).
% 8.48/6.03 tff(11727,plain,
% 8.48/6.03 (v123(constB22, bitIndex0) <=> v121(constB21, bitIndex0)),
% 8.48/6.03 inference(unit_resolution,[status(thm)],[11726, 9772, 11683])).
% 8.48/6.03 tff(11728,plain,
% 8.48/6.03 (((~![B: $i] : ((~less_3(B)) | (v121(constB21, B) <=> v124(constB21, B)))) | ((~less_3(bitIndex0)) | (v121(constB21, bitIndex0) <=> v124(constB21, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB21, B) <=> v124(constB21, B)))) | (~less_3(bitIndex0)) | (v121(constB21, bitIndex0) <=> v124(constB21, bitIndex0)))),
% 8.48/6.03 inference(rewrite,[status(thm)],[])).
% 8.48/6.03 tff(11729,plain,
% 8.48/6.03 ((~![B: $i] : ((~less_3(B)) | (v121(constB21, B) <=> v124(constB21, B)))) | ((~less_3(bitIndex0)) | (v121(constB21, bitIndex0) <=> v124(constB21, bitIndex0)))),
% 8.48/6.03 inference(quant_inst,[status(thm)],[])).
% 8.48/6.03 tff(11730,plain,
% 8.48/6.03 ((~![B: $i] : ((~less_3(B)) | (v121(constB21, B) <=> v124(constB21, B)))) | (~less_3(bitIndex0)) | (v121(constB21, bitIndex0) <=> v124(constB21, bitIndex0))),
% 8.48/6.03 inference(modus_ponens,[status(thm)],[11729, 11728])).
% 8.48/6.03 tff(11731,plain,
% 8.48/6.03 (v121(constB21, bitIndex0) <=> v124(constB21, bitIndex0)),
% 8.48/6.03 inference(unit_resolution,[status(thm)],[11730, 9772, 11691])).
% 8.48/6.03 tff(11732,plain,
% 8.48/6.03 (((~![B: $i] : ((~less_3(B)) | (v124(constB21, B) <=> b101(B)))) | ((~less_3(bitIndex0)) | (v124(constB21, bitIndex0) <=> b101(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB21, B) <=> b101(B)))) | (~less_3(bitIndex0)) | (v124(constB21, bitIndex0) <=> b101(bitIndex0)))),
% 8.48/6.03 inference(rewrite,[status(thm)],[])).
% 8.48/6.03 tff(11733,plain,
% 8.48/6.03 ((~![B: $i] : ((~less_3(B)) | (v124(constB21, B) <=> b101(B)))) | ((~less_3(bitIndex0)) | (v124(constB21, bitIndex0) <=> b101(bitIndex0)))),
% 8.48/6.03 inference(quant_inst,[status(thm)],[])).
% 8.48/6.03 tff(11734,plain,
% 8.48/6.03 ((~![B: $i] : ((~less_3(B)) | (v124(constB21, B) <=> b101(B)))) | (~less_3(bitIndex0)) | (v124(constB21, bitIndex0) <=> b101(bitIndex0))),
% 8.48/6.03 inference(modus_ponens,[status(thm)],[11733, 11732])).
% 8.48/6.03 tff(11735,plain,
% 8.48/6.03 (v124(constB21, bitIndex0) <=> b101(bitIndex0)),
% 8.48/6.03 inference(unit_resolution,[status(thm)],[11734, 9772, 11700])).
% 8.48/6.03 tff(11736,plain,
% 8.48/6.03 ((~(v124(constB21, bitIndex0) <=> b101(bitIndex0))) | v124(constB21, bitIndex0) | (~b101(bitIndex0))),
% 8.48/6.03 inference(tautology,[status(thm)],[])).
% 8.48/6.03 tff(11737,plain,
% 8.48/6.03 ((~(v124(constB21, bitIndex0) <=> b101(bitIndex0))) | v124(constB21, bitIndex0)),
% 8.48/6.03 inference(unit_resolution,[status(thm)],[11736, 10723])).
% 8.48/6.03 tff(11738,plain,
% 8.48/6.03 (v124(constB21, bitIndex0)),
% 8.48/6.03 inference(unit_resolution,[status(thm)],[11737, 11735])).
% 8.48/6.03 tff(11739,plain,
% 8.48/6.03 ((~(v121(constB21, bitIndex0) <=> v124(constB21, bitIndex0))) | v121(constB21, bitIndex0) | (~v124(constB21, bitIndex0))),
% 8.48/6.03 inference(tautology,[status(thm)],[])).
% 8.48/6.03 tff(11740,plain,
% 8.48/6.03 (v121(constB21, bitIndex0)),
% 8.48/6.03 inference(unit_resolution,[status(thm)],[11739, 11738, 11731])).
% 8.48/6.03 tff(11741,plain,
% 8.48/6.03 ((~(v123(constB22, bitIndex0) <=> v121(constB21, bitIndex0))) | v123(constB22, bitIndex0) | (~v121(constB21, bitIndex0))),
% 8.48/6.03 inference(tautology,[status(thm)],[])).
% 8.48/6.03 tff(11742,plain,
% 8.48/6.03 (v123(constB22, bitIndex0)),
% 8.48/6.03 inference(unit_resolution,[status(thm)],[11741, 11740, 11727])).
% 8.48/6.03 tff(11743,plain,
% 8.48/6.03 ((~(v84(constB22, bitIndex0) <=> v123(constB22, bitIndex0))) | v84(constB22, bitIndex0) | (~v123(constB22, bitIndex0))),
% 8.48/6.03 inference(tautology,[status(thm)],[])).
% 8.48/6.03 tff(11744,plain,
% 8.48/6.03 (v84(constB22, bitIndex0)),
% 8.48/6.03 inference(unit_resolution,[status(thm)],[11743, 11742, 11723])).
% 8.48/6.03 tff(11745,plain,
% 8.48/6.03 ((~(v84(constB23, bitIndex0) <=> v84(constB22, bitIndex0))) | v84(constB23, bitIndex0) | (~v84(constB22, bitIndex0))),
% 8.48/6.03 inference(tautology,[status(thm)],[])).
% 8.48/6.03 tff(11746,plain,
% 8.48/6.03 (v84(constB23, bitIndex0)),
% 8.48/6.03 inference(unit_resolution,[status(thm)],[11745, 11744, 11719])).
% 8.48/6.03 tff(11747,plain,
% 8.48/6.03 (((~![B: $i] : ((~less_3(B)) | (v84(constB23, B) <=> v84(constB22, B)))) | ((~less_3(bitIndex1)) | (v84(constB23, bitIndex1) <=> v84(constB22, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB23, B) <=> v84(constB22, B)))) | (~less_3(bitIndex1)) | (v84(constB23, bitIndex1) <=> v84(constB22, bitIndex1)))),
% 8.48/6.03 inference(rewrite,[status(thm)],[])).
% 8.48/6.03 tff(11748,plain,
% 8.48/6.03 ((~![B: $i] : ((~less_3(B)) | (v84(constB23, B) <=> v84(constB22, B)))) | ((~less_3(bitIndex1)) | (v84(constB23, bitIndex1) <=> v84(constB22, bitIndex1)))),
% 8.48/6.03 inference(quant_inst,[status(thm)],[])).
% 8.48/6.03 tff(11749,plain,
% 8.48/6.03 ((~![B: $i] : ((~less_3(B)) | (v84(constB23, B) <=> v84(constB22, B)))) | (~less_3(bitIndex1)) | (v84(constB23, bitIndex1) <=> v84(constB22, bitIndex1))),
% 8.48/6.03 inference(modus_ponens,[status(thm)],[11748, 11747])).
% 8.48/6.03 tff(11750,plain,
% 8.48/6.03 (v84(constB23, bitIndex1) <=> v84(constB22, bitIndex1)),
% 8.48/6.03 inference(unit_resolution,[status(thm)],[11749, 9785, 8746])).
% 8.48/6.03 tff(11751,plain,
% 8.48/6.03 (((~![B: $i] : ((~less_3(B)) | (v84(constB22, B) <=> v123(constB22, B)))) | ((~less_3(bitIndex1)) | (v84(constB22, bitIndex1) <=> v123(constB22, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB22, B) <=> v123(constB22, B)))) | (~less_3(bitIndex1)) | (v84(constB22, bitIndex1) <=> v123(constB22, bitIndex1)))),
% 8.48/6.03 inference(rewrite,[status(thm)],[])).
% 8.48/6.03 tff(11752,plain,
% 8.48/6.03 ((~![B: $i] : ((~less_3(B)) | (v84(constB22, B) <=> v123(constB22, B)))) | ((~less_3(bitIndex1)) | (v84(constB22, bitIndex1) <=> v123(constB22, bitIndex1)))),
% 8.48/6.03 inference(quant_inst,[status(thm)],[])).
% 8.48/6.03 tff(11753,plain,
% 8.48/6.03 ((~![B: $i] : ((~less_3(B)) | (v84(constB22, B) <=> v123(constB22, B)))) | (~less_3(bitIndex1)) | (v84(constB22, bitIndex1) <=> v123(constB22, bitIndex1))),
% 8.48/6.03 inference(modus_ponens,[status(thm)],[11752, 11751])).
% 8.48/6.03 tff(11754,plain,
% 8.48/6.03 (v84(constB22, bitIndex1) <=> v123(constB22, bitIndex1)),
% 8.48/6.03 inference(unit_resolution,[status(thm)],[11753, 9785, 11675])).
% 8.48/6.03 tff(11755,plain,
% 8.48/6.03 (((~![B: $i] : ((~less_3(B)) | (v123(constB22, B) <=> v121(constB21, B)))) | ((~less_3(bitIndex1)) | (v123(constB22, bitIndex1) <=> v121(constB21, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB22, B) <=> v121(constB21, B)))) | (~less_3(bitIndex1)) | (v123(constB22, bitIndex1) <=> v121(constB21, bitIndex1)))),
% 8.48/6.03 inference(rewrite,[status(thm)],[])).
% 8.48/6.03 tff(11756,plain,
% 8.48/6.03 ((~![B: $i] : ((~less_3(B)) | (v123(constB22, B) <=> v121(constB21, B)))) | ((~less_3(bitIndex1)) | (v123(constB22, bitIndex1) <=> v121(constB21, bitIndex1)))),
% 8.48/6.03 inference(quant_inst,[status(thm)],[])).
% 8.48/6.03 tff(11757,plain,
% 8.48/6.03 ((~![B: $i] : ((~less_3(B)) | (v123(constB22, B) <=> v121(constB21, B)))) | (~less_3(bitIndex1)) | (v123(constB22, bitIndex1) <=> v121(constB21, bitIndex1))),
% 8.48/6.03 inference(modus_ponens,[status(thm)],[11756, 11755])).
% 8.48/6.03 tff(11758,plain,
% 8.48/6.03 (v123(constB22, bitIndex1) <=> v121(constB21, bitIndex1)),
% 8.48/6.03 inference(unit_resolution,[status(thm)],[11757, 9785, 11683])).
% 8.48/6.03 tff(11759,plain,
% 8.48/6.03 (((~![B: $i] : ((~less_3(B)) | (v121(constB21, B) <=> v124(constB21, B)))) | ((~less_3(bitIndex1)) | (v121(constB21, bitIndex1) <=> v124(constB21, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB21, B) <=> v124(constB21, B)))) | (~less_3(bitIndex1)) | (v121(constB21, bitIndex1) <=> v124(constB21, bitIndex1)))),
% 8.48/6.03 inference(rewrite,[status(thm)],[])).
% 8.48/6.03 tff(11760,plain,
% 8.48/6.03 ((~![B: $i] : ((~less_3(B)) | (v121(constB21, B) <=> v124(constB21, B)))) | ((~less_3(bitIndex1)) | (v121(constB21, bitIndex1) <=> v124(constB21, bitIndex1)))),
% 8.48/6.03 inference(quant_inst,[status(thm)],[])).
% 8.48/6.03 tff(11761,plain,
% 8.48/6.03 ((~![B: $i] : ((~less_3(B)) | (v121(constB21, B) <=> v124(constB21, B)))) | (~less_3(bitIndex1)) | (v121(constB21, bitIndex1) <=> v124(constB21, bitIndex1))),
% 8.48/6.03 inference(modus_ponens,[status(thm)],[11760, 11759])).
% 8.48/6.03 tff(11762,plain,
% 8.48/6.03 (v121(constB21, bitIndex1) <=> v124(constB21, bitIndex1)),
% 8.48/6.03 inference(unit_resolution,[status(thm)],[11761, 9785, 11691])).
% 8.48/6.03 tff(11763,plain,
% 8.48/6.03 (((~![B: $i] : ((~less_3(B)) | (v124(constB21, B) <=> b101(B)))) | ((~less_3(bitIndex1)) | (v124(constB21, bitIndex1) <=> b101(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB21, B) <=> b101(B)))) | (~less_3(bitIndex1)) | (v124(constB21, bitIndex1) <=> b101(bitIndex1)))),
% 8.48/6.03 inference(rewrite,[status(thm)],[])).
% 8.48/6.03 tff(11764,plain,
% 8.48/6.03 ((~![B: $i] : ((~less_3(B)) | (v124(constB21, B) <=> b101(B)))) | ((~less_3(bitIndex1)) | (v124(constB21, bitIndex1) <=> b101(bitIndex1)))),
% 8.48/6.03 inference(quant_inst,[status(thm)],[])).
% 8.48/6.03 tff(11765,plain,
% 8.48/6.03 ((~![B: $i] : ((~less_3(B)) | (v124(constB21, B) <=> b101(B)))) | (~less_3(bitIndex1)) | (v124(constB21, bitIndex1) <=> b101(bitIndex1))),
% 8.48/6.03 inference(modus_ponens,[status(thm)],[11764, 11763])).
% 8.48/6.03 tff(11766,plain,
% 8.48/6.03 (v124(constB21, bitIndex1) <=> b101(bitIndex1)),
% 8.48/6.03 inference(unit_resolution,[status(thm)],[11765, 9785, 11700])).
% 8.48/6.03 tff(11767,plain,
% 8.48/6.03 ((~(v124(constB21, bitIndex1) <=> b101(bitIndex1))) | (~v124(constB21, bitIndex1)) | b101(bitIndex1)),
% 8.48/6.03 inference(tautology,[status(thm)],[])).
% 8.48/6.03 tff(11768,plain,
% 8.48/6.03 ((~(v124(constB21, bitIndex1) <=> b101(bitIndex1))) | (~v124(constB21, bitIndex1))),
% 8.48/6.03 inference(unit_resolution,[status(thm)],[11767, 10757])).
% 8.48/6.03 tff(11769,plain,
% 8.48/6.03 (~v124(constB21, bitIndex1)),
% 8.48/6.03 inference(unit_resolution,[status(thm)],[11768, 11766])).
% 8.48/6.03 tff(11770,plain,
% 8.48/6.03 ((~(v121(constB21, bitIndex1) <=> v124(constB21, bitIndex1))) | (~v121(constB21, bitIndex1)) | v124(constB21, bitIndex1)),
% 8.48/6.03 inference(tautology,[status(thm)],[])).
% 8.48/6.03 tff(11771,plain,
% 8.48/6.03 (~v121(constB21, bitIndex1)),
% 8.48/6.03 inference(unit_resolution,[status(thm)],[11770, 11769, 11762])).
% 8.48/6.03 tff(11772,plain,
% 8.48/6.03 ((~(v123(constB22, bitIndex1) <=> v121(constB21, bitIndex1))) | (~v123(constB22, bitIndex1)) | v121(constB21, bitIndex1)),
% 8.48/6.03 inference(tautology,[status(thm)],[])).
% 8.48/6.03 tff(11773,plain,
% 8.48/6.03 (~v123(constB22, bitIndex1)),
% 8.48/6.03 inference(unit_resolution,[status(thm)],[11772, 11771, 11758])).
% 8.48/6.03 tff(11774,plain,
% 8.48/6.03 ((~(v84(constB22, bitIndex1) <=> v123(constB22, bitIndex1))) | (~v84(constB22, bitIndex1)) | v123(constB22, bitIndex1)),
% 8.48/6.03 inference(tautology,[status(thm)],[])).
% 8.48/6.03 tff(11775,plain,
% 8.48/6.03 (~v84(constB22, bitIndex1)),
% 8.48/6.03 inference(unit_resolution,[status(thm)],[11774, 11773, 11754])).
% 8.48/6.03 tff(11776,plain,
% 8.48/6.03 ((~(v84(constB23, bitIndex1) <=> v84(constB22, bitIndex1))) | (~v84(constB23, bitIndex1)) | v84(constB22, bitIndex1)),
% 8.48/6.03 inference(tautology,[status(thm)],[])).
% 8.48/6.03 tff(11777,plain,
% 8.48/6.03 (~v84(constB23, bitIndex1)),
% 8.48/6.03 inference(unit_resolution,[status(thm)],[11776, 11775, 11750])).
% 8.48/6.03 tff(11778,plain,
% 8.48/6.03 ((~((~v84(constB23, bitIndex2)) | v84(constB23, bitIndex1) | (~v84(constB23, bitIndex0)))) | (~v84(constB23, bitIndex2)) | v84(constB23, bitIndex1) | (~v84(constB23, bitIndex0))),
% 8.48/6.03 inference(tautology,[status(thm)],[])).
% 8.48/6.03 tff(11779,plain,
% 8.48/6.03 (~((~v84(constB23, bitIndex2)) | v84(constB23, bitIndex1) | (~v84(constB23, bitIndex0)))),
% 8.48/6.03 inference(unit_resolution,[status(thm)],[11778, 11777, 11746, 11715])).
% 8.48/6.03 tff(11780,plain,
% 8.48/6.03 ((~(v118(constB23) <=> (~((~v84(constB23, bitIndex2)) | v84(constB23, bitIndex1) | (~v84(constB23, bitIndex0)))))) | v118(constB23) | ((~v84(constB23, bitIndex2)) | v84(constB23, bitIndex1) | (~v84(constB23, bitIndex0)))),
% 8.48/6.03 inference(tautology,[status(thm)],[])).
% 8.48/6.03 tff(11781,plain,
% 8.48/6.03 (v118(constB23)),
% 8.48/6.03 inference(unit_resolution,[status(thm)],[11780, 11779, 8718])).
% 8.48/6.03 tff(11782,plain,
% 8.48/6.03 ((v109(constB23) | v118(constB23)) | (~v118(constB23))),
% 8.48/6.03 inference(tautology,[status(thm)],[])).
% 8.48/6.03 tff(11783,plain,
% 8.48/6.03 (v109(constB23) | v118(constB23)),
% 8.48/6.03 inference(unit_resolution,[status(thm)],[11782, 11781])).
% 8.48/6.03 tff(11784,plain,
% 8.48/6.03 ((~(v108(constB23) <=> (v109(constB23) | v118(constB23)))) | v108(constB23) | (~(v109(constB23) | v118(constB23)))),
% 8.48/6.03 inference(tautology,[status(thm)],[])).
% 8.48/6.03 tff(11785,plain,
% 8.48/6.03 (v108(constB23)),
% 8.48/6.03 inference(unit_resolution,[status(thm)],[11784, 11783, 8711])).
% 8.48/6.03 tff(11786,plain,
% 8.48/6.03 ((v108(constB23) | v119(constB23)) | (~v108(constB23))),
% 8.48/6.03 inference(tautology,[status(thm)],[])).
% 8.48/6.03 tff(11787,plain,
% 8.48/6.03 (v108(constB23) | v119(constB23)),
% 8.48/6.03 inference(unit_resolution,[status(thm)],[11786, 11785])).
% 8.48/6.03 tff(11788,plain,
% 8.48/6.03 ((~(v107(constB23) <=> (v108(constB23) | v119(constB23)))) | v107(constB23) | (~(v108(constB23) | v119(constB23)))),
% 8.48/6.03 inference(tautology,[status(thm)],[])).
% 8.48/6.03 tff(11789,plain,
% 8.48/6.03 (v107(constB23)),
% 8.48/6.03 inference(unit_resolution,[status(thm)],[11788, 11787, 8709])).
% 8.48/6.03 tff(11790,plain,
% 8.48/6.03 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB23)) <=> v105(constB23))),
% 8.48/6.03 inference(quant_inst,[status(thm)],[])).
% 8.48/6.03 tff(11791,plain,
% 8.48/6.03 ((~v120(constB23)) <=> v105(constB23)),
% 8.48/6.03 inference(unit_resolution,[status(thm)],[11790, 9842])).
% 8.48/6.03 tff(11792,plain,
% 8.48/6.03 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB23) <=> v26(constB23))),
% 8.48/6.03 inference(quant_inst,[status(thm)],[])).
% 8.48/6.03 tff(11793,plain,
% 8.48/6.03 (v105(constB23) <=> v26(constB23)),
% 8.48/6.03 inference(unit_resolution,[status(thm)],[11792, 9854])).
% 8.48/6.03 tff(11794,plain,
% 8.48/6.03 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB23))),
% 8.48/6.03 inference(quant_inst,[status(thm)],[])).
% 8.48/6.03 tff(11795,plain,
% 8.48/6.03 (~v26(constB23)),
% 8.48/6.03 inference(unit_resolution,[status(thm)],[11794, 9866])).
% 8.48/6.03 tff(11796,plain,
% 8.48/6.03 ((~(v105(constB23) <=> v26(constB23))) | (~v105(constB23)) | v26(constB23)),
% 8.48/6.03 inference(tautology,[status(thm)],[])).
% 8.48/6.03 tff(11797,plain,
% 8.48/6.03 ((~(v105(constB23) <=> v26(constB23))) | (~v105(constB23))),
% 8.48/6.03 inference(unit_resolution,[status(thm)],[11796, 11795])).
% 8.48/6.03 tff(11798,plain,
% 8.48/6.03 (~v105(constB23)),
% 8.48/6.03 inference(unit_resolution,[status(thm)],[11797, 11793])).
% 8.48/6.03 tff(11799,plain,
% 8.48/6.03 ((~((~v120(constB23)) <=> v105(constB23))) | v120(constB23) | v105(constB23)),
% 8.48/6.03 inference(tautology,[status(thm)],[])).
% 8.48/6.03 tff(11800,plain,
% 8.48/6.03 ((~((~v120(constB23)) <=> v105(constB23))) | v120(constB23)),
% 8.48/6.03 inference(unit_resolution,[status(thm)],[11799, 11798])).
% 8.48/6.03 tff(11801,plain,
% 8.48/6.03 (v120(constB23)),
% 8.48/6.03 inference(unit_resolution,[status(thm)],[11800, 11791])).
% 8.48/6.03 tff(11802,plain,
% 8.48/6.03 ((~((~v107(constB23)) | (~v120(constB23)))) | (~v107(constB23)) | (~v120(constB23))),
% 8.48/6.03 inference(tautology,[status(thm)],[])).
% 8.48/6.03 tff(11803,plain,
% 8.48/6.03 ((~((~v107(constB23)) | (~v120(constB23)))) | (~v107(constB23))),
% 8.48/6.03 inference(unit_resolution,[status(thm)],[11802, 11801])).
% 8.48/6.03 tff(11804,plain,
% 8.48/6.03 (~((~v107(constB23)) | (~v120(constB23)))),
% 8.48/6.03 inference(unit_resolution,[status(thm)],[11803, 11789])).
% 8.48/6.03 tff(11805,plain,
% 8.48/6.03 ((~(v106(constB23) <=> (~((~v107(constB23)) | (~v120(constB23)))))) | v106(constB23) | ((~v107(constB23)) | (~v120(constB23)))),
% 8.48/6.03 inference(tautology,[status(thm)],[])).
% 8.48/6.03 tff(11806,plain,
% 8.48/6.03 (v106(constB23)),
% 8.48/6.03 inference(unit_resolution,[status(thm)],[11805, 11804, 8707])).
% 8.48/6.03 tff(11807,plain,
% 8.48/6.03 ((v105(constB23) | v106(constB23)) | (~v106(constB23))),
% 8.48/6.03 inference(tautology,[status(thm)],[])).
% 8.48/6.03 tff(11808,plain,
% 8.48/6.03 (v105(constB23) | v106(constB23)),
% 8.48/6.03 inference(unit_resolution,[status(thm)],[11807, 11806])).
% 8.48/6.03 tff(11809,plain,
% 8.48/6.03 ((~(v102(constB23) <=> (v105(constB23) | v106(constB23)))) | v102(constB23) | (~(v105(constB23) | v106(constB23)))),
% 8.48/6.03 inference(tautology,[status(thm)],[])).
% 8.48/6.03 tff(11810,plain,
% 8.48/6.03 (v102(constB23)),
% 8.48/6.03 inference(unit_resolution,[status(thm)],[11809, 11808, 8705])).
% 8.48/6.03 tff(11811,plain,
% 8.48/6.03 ((~(v104(constB24) <=> v102(constB23))) | v104(constB24) | (~v102(constB23))),
% 8.48/6.03 inference(tautology,[status(thm)],[])).
% 8.48/6.03 tff(11812,plain,
% 8.48/6.03 (v104(constB24)),
% 8.48/6.03 inference(unit_resolution,[status(thm)],[11811, 11810, 8703])).
% 8.48/6.03 tff(11813,plain,
% 8.48/6.03 ((~((~v104(constB24)) | (~v95(constB24)))) | (~v104(constB24)) | (~v95(constB24))),
% 8.48/6.03 inference(tautology,[status(thm)],[])).
% 8.48/6.03 tff(11814,plain,
% 8.48/6.03 (~((~v104(constB24)) | (~v95(constB24)))),
% 8.48/6.03 inference(unit_resolution,[status(thm)],[11813, 11812, 8699])).
% 8.48/6.03 tff(11815,plain,
% 8.48/6.03 ((~(v94(constB24) <=> (~((~v104(constB24)) | (~v95(constB24)))))) | v94(constB24) | ((~v104(constB24)) | (~v95(constB24)))),
% 8.48/6.03 inference(tautology,[status(thm)],[])).
% 8.48/6.03 tff(11816,plain,
% 8.48/6.03 (v94(constB24)),
% 8.48/6.03 inference(unit_resolution,[status(thm)],[11815, 11814, 8668])).
% 8.48/6.03 tff(11817,plain,
% 8.48/6.03 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB24)) | ![B: $i] : ((~less_3(B)) | (v84(constB24, B) <=> v123(constB24, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB24)) | ![B: $i] : ((~less_3(B)) | (v84(constB24, B) <=> v123(constB24, B))))),
% 8.48/6.03 inference(rewrite,[status(thm)],[])).
% 8.48/6.03 tff(11818,plain,
% 8.48/6.03 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB24)) | ![B: $i] : ((~less_3(B)) | (v84(constB24, B) <=> v123(constB24, B))))),
% 8.48/6.03 inference(quant_inst,[status(thm)],[])).
% 8.48/6.03 tff(11819,plain,
% 8.48/6.03 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB24)) | ![B: $i] : ((~less_3(B)) | (v84(constB24, B) <=> v123(constB24, B)))),
% 8.48/6.03 inference(modus_ponens,[status(thm)],[11818, 11817])).
% 8.48/6.03 tff(11820,plain,
% 8.48/6.03 ((~v94(constB24)) | ![B: $i] : ((~less_3(B)) | (v84(constB24, B) <=> v123(constB24, B)))),
% 8.48/6.03 inference(unit_resolution,[status(thm)],[11819, 9902])).
% 8.48/6.03 tff(11821,plain,
% 8.48/6.03 (![B: $i] : ((~less_3(B)) | (v84(constB24, B) <=> v123(constB24, B)))),
% 8.48/6.03 inference(unit_resolution,[status(thm)],[11820, 11816])).
% 8.48/6.03 tff(11822,plain,
% 8.48/6.03 (((~![B: $i] : ((~less_3(B)) | (v84(constB24, B) <=> v123(constB24, B)))) | ((~less_3(bitIndex2)) | (v84(constB24, bitIndex2) <=> v123(constB24, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB24, B) <=> v123(constB24, B)))) | (~less_3(bitIndex2)) | (v84(constB24, bitIndex2) <=> v123(constB24, bitIndex2)))),
% 8.48/6.03 inference(rewrite,[status(thm)],[])).
% 8.48/6.03 tff(11823,plain,
% 8.48/6.03 ((~![B: $i] : ((~less_3(B)) | (v84(constB24, B) <=> v123(constB24, B)))) | ((~less_3(bitIndex2)) | (v84(constB24, bitIndex2) <=> v123(constB24, bitIndex2)))),
% 8.48/6.03 inference(quant_inst,[status(thm)],[])).
% 8.48/6.03 tff(11824,plain,
% 8.48/6.03 ((~![B: $i] : ((~less_3(B)) | (v84(constB24, B) <=> v123(constB24, B)))) | (~less_3(bitIndex2)) | (v84(constB24, bitIndex2) <=> v123(constB24, bitIndex2))),
% 8.48/6.03 inference(modus_ponens,[status(thm)],[11823, 11822])).
% 8.48/6.03 tff(11825,plain,
% 8.48/6.03 (v84(constB24, bitIndex2) <=> v123(constB24, bitIndex2)),
% 8.48/6.03 inference(unit_resolution,[status(thm)],[11824, 832, 11821])).
% 8.48/6.03 tff(11826,plain,
% 8.48/6.03 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB23, constB24)) | ![B: $i] : ((~less_3(B)) | (v123(constB24, B) <=> v121(constB23, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB23, constB24)) | ![B: $i] : ((~less_3(B)) | (v123(constB24, B) <=> v121(constB23, B))))),
% 8.48/6.03 inference(rewrite,[status(thm)],[])).
% 8.48/6.03 tff(11827,plain,
% 8.48/6.03 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB23, constB24)) | ![B: $i] : ((~less_3(B)) | (v123(constB24, B) <=> v121(constB23, B))))),
% 8.48/6.03 inference(quant_inst,[status(thm)],[])).
% 8.48/6.03 tff(11828,plain,
% 8.48/6.03 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB23, constB24)) | ![B: $i] : ((~less_3(B)) | (v123(constB24, B) <=> v121(constB23, B)))),
% 8.48/6.03 inference(modus_ponens,[status(thm)],[11827, 11826])).
% 8.48/6.03 tff(11829,plain,
% 8.48/6.03 (![B: $i] : ((~less_3(B)) | (v123(constB24, B) <=> v121(constB23, B)))),
% 8.48/6.03 inference(unit_resolution,[status(thm)],[11828, 8664, 9924])).
% 8.48/6.03 tff(11830,plain,
% 8.48/6.03 (((~![B: $i] : ((~less_3(B)) | (v123(constB24, B) <=> v121(constB23, B)))) | ((~less_3(bitIndex2)) | (v123(constB24, bitIndex2) <=> v121(constB23, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB24, B) <=> v121(constB23, B)))) | (~less_3(bitIndex2)) | (v123(constB24, bitIndex2) <=> v121(constB23, bitIndex2)))),
% 8.48/6.03 inference(rewrite,[status(thm)],[])).
% 8.48/6.03 tff(11831,plain,
% 8.48/6.03 ((~![B: $i] : ((~less_3(B)) | (v123(constB24, B) <=> v121(constB23, B)))) | ((~less_3(bitIndex2)) | (v123(constB24, bitIndex2) <=> v121(constB23, bitIndex2)))),
% 8.48/6.03 inference(quant_inst,[status(thm)],[])).
% 8.48/6.03 tff(11832,plain,
% 8.48/6.03 ((~![B: $i] : ((~less_3(B)) | (v123(constB24, B) <=> v121(constB23, B)))) | (~less_3(bitIndex2)) | (v123(constB24, bitIndex2) <=> v121(constB23, bitIndex2))),
% 8.48/6.03 inference(modus_ponens,[status(thm)],[11831, 11830])).
% 8.48/6.03 tff(11833,plain,
% 8.48/6.03 (v123(constB24, bitIndex2) <=> v121(constB23, bitIndex2)),
% 8.48/6.03 inference(unit_resolution,[status(thm)],[11832, 832, 11829])).
% 8.48/6.03 tff(11834,plain,
% 8.48/6.03 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB23) | ![B: $i] : ((~less_3(B)) | (v121(constB23, B) <=> v124(constB23, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB23) | ![B: $i] : ((~less_3(B)) | (v121(constB23, B) <=> v124(constB23, B))))),
% 8.48/6.03 inference(rewrite,[status(thm)],[])).
% 8.48/6.03 tff(11835,plain,
% 8.48/6.03 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB23) | ![B: $i] : ((~less_3(B)) | (v121(constB23, B) <=> v124(constB23, B))))),
% 8.48/6.03 inference(quant_inst,[status(thm)],[])).
% 8.48/6.03 tff(11836,plain,
% 8.48/6.03 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB23) | ![B: $i] : ((~less_3(B)) | (v121(constB23, B) <=> v124(constB23, B)))),
% 8.48/6.03 inference(modus_ponens,[status(thm)],[11835, 11834])).
% 8.48/6.03 tff(11837,plain,
% 8.48/6.03 (![B: $i] : ((~less_3(B)) | (v121(constB23, B) <=> v124(constB23, B)))),
% 8.48/6.03 inference(unit_resolution,[status(thm)],[11836, 9945, 11798])).
% 8.48/6.03 tff(11838,plain,
% 8.48/6.03 (((~![B: $i] : ((~less_3(B)) | (v121(constB23, B) <=> v124(constB23, B)))) | ((~less_3(bitIndex2)) | (v121(constB23, bitIndex2) <=> v124(constB23, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB23, B) <=> v124(constB23, B)))) | (~less_3(bitIndex2)) | (v121(constB23, bitIndex2) <=> v124(constB23, bitIndex2)))),
% 8.48/6.03 inference(rewrite,[status(thm)],[])).
% 8.48/6.03 tff(11839,plain,
% 8.48/6.03 ((~![B: $i] : ((~less_3(B)) | (v121(constB23, B) <=> v124(constB23, B)))) | ((~less_3(bitIndex2)) | (v121(constB23, bitIndex2) <=> v124(constB23, bitIndex2)))),
% 8.48/6.03 inference(quant_inst,[status(thm)],[])).
% 8.48/6.03 tff(11840,plain,
% 8.48/6.03 ((~![B: $i] : ((~less_3(B)) | (v121(constB23, B) <=> v124(constB23, B)))) | (~less_3(bitIndex2)) | (v121(constB23, bitIndex2) <=> v124(constB23, bitIndex2))),
% 8.48/6.03 inference(modus_ponens,[status(thm)],[11839, 11838])).
% 8.48/6.03 tff(11841,plain,
% 8.48/6.03 (v121(constB23, bitIndex2) <=> v124(constB23, bitIndex2)),
% 8.48/6.03 inference(unit_resolution,[status(thm)],[11840, 832, 11837])).
% 8.48/6.03 tff(11842,plain,
% 8.48/6.03 (((~![VarCurr: $i] : ((~v118(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b110(B))))) | ((~v118(constB23)) | ![B: $i] : ((~less_3(B)) | (v124(constB23, B) <=> b110(B))))) <=> ((~![VarCurr: $i] : ((~v118(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b110(B))))) | (~v118(constB23)) | ![B: $i] : ((~less_3(B)) | (v124(constB23, B) <=> b110(B))))),
% 8.48/6.03 inference(rewrite,[status(thm)],[])).
% 8.48/6.04 tff(11843,plain,
% 8.48/6.04 ((~![VarCurr: $i] : ((~v118(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b110(B))))) | ((~v118(constB23)) | ![B: $i] : ((~less_3(B)) | (v124(constB23, B) <=> b110(B))))),
% 8.48/6.04 inference(quant_inst,[status(thm)],[])).
% 8.48/6.04 tff(11844,plain,
% 8.48/6.04 ((~![VarCurr: $i] : ((~v118(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b110(B))))) | (~v118(constB23)) | ![B: $i] : ((~less_3(B)) | (v124(constB23, B) <=> b110(B)))),
% 8.48/6.04 inference(modus_ponens,[status(thm)],[11843, 11842])).
% 8.48/6.04 tff(11845,plain,
% 8.48/6.04 ((~v118(constB23)) | ![B: $i] : ((~less_3(B)) | (v124(constB23, B) <=> b110(B)))),
% 8.48/6.04 inference(unit_resolution,[status(thm)],[11844, 10845])).
% 8.48/6.04 tff(11846,plain,
% 8.48/6.04 (![B: $i] : ((~less_3(B)) | (v124(constB23, B) <=> b110(B)))),
% 8.48/6.04 inference(unit_resolution,[status(thm)],[11845, 11781])).
% 8.48/6.04 tff(11847,plain,
% 8.48/6.04 (((~![B: $i] : ((~less_3(B)) | (v124(constB23, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v124(constB23, bitIndex2) <=> b110(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB23, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v124(constB23, bitIndex2) <=> b110(bitIndex2)))),
% 8.48/6.04 inference(rewrite,[status(thm)],[])).
% 8.48/6.04 tff(11848,plain,
% 8.48/6.04 ((~![B: $i] : ((~less_3(B)) | (v124(constB23, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v124(constB23, bitIndex2) <=> b110(bitIndex2)))),
% 8.48/6.04 inference(quant_inst,[status(thm)],[])).
% 8.48/6.04 tff(11849,plain,
% 8.48/6.04 ((~![B: $i] : ((~less_3(B)) | (v124(constB23, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v124(constB23, bitIndex2) <=> b110(bitIndex2))),
% 8.48/6.04 inference(modus_ponens,[status(thm)],[11848, 11847])).
% 8.48/6.04 tff(11850,plain,
% 8.48/6.04 (v124(constB23, bitIndex2) <=> b110(bitIndex2)),
% 8.48/6.04 inference(unit_resolution,[status(thm)],[11849, 832, 11846])).
% 8.48/6.04 tff(11851,plain,
% 8.48/6.04 ((~(v124(constB23, bitIndex2) <=> b110(bitIndex2))) | v124(constB23, bitIndex2) | (~b110(bitIndex2))),
% 8.48/6.04 inference(tautology,[status(thm)],[])).
% 8.48/6.04 tff(11852,plain,
% 8.48/6.04 ((~(v124(constB23, bitIndex2) <=> b110(bitIndex2))) | v124(constB23, bitIndex2)),
% 8.48/6.04 inference(unit_resolution,[status(thm)],[11851, 10857])).
% 8.48/6.04 tff(11853,plain,
% 8.48/6.04 (v124(constB23, bitIndex2)),
% 8.48/6.04 inference(unit_resolution,[status(thm)],[11852, 11850])).
% 8.48/6.04 tff(11854,plain,
% 8.48/6.04 ((~(v121(constB23, bitIndex2) <=> v124(constB23, bitIndex2))) | v121(constB23, bitIndex2) | (~v124(constB23, bitIndex2))),
% 8.48/6.04 inference(tautology,[status(thm)],[])).
% 8.48/6.04 tff(11855,plain,
% 8.48/6.04 (v121(constB23, bitIndex2)),
% 8.48/6.04 inference(unit_resolution,[status(thm)],[11854, 11853, 11841])).
% 8.48/6.04 tff(11856,plain,
% 8.48/6.04 ((~(v123(constB24, bitIndex2) <=> v121(constB23, bitIndex2))) | v123(constB24, bitIndex2) | (~v121(constB23, bitIndex2))),
% 8.48/6.04 inference(tautology,[status(thm)],[])).
% 8.48/6.04 tff(11857,plain,
% 8.48/6.04 (v123(constB24, bitIndex2)),
% 8.48/6.04 inference(unit_resolution,[status(thm)],[11856, 11855, 11833])).
% 8.48/6.04 tff(11858,plain,
% 8.48/6.04 ((~(v84(constB24, bitIndex2) <=> v123(constB24, bitIndex2))) | v84(constB24, bitIndex2) | (~v123(constB24, bitIndex2))),
% 8.48/6.04 inference(tautology,[status(thm)],[])).
% 8.48/6.04 tff(11859,plain,
% 8.48/6.04 (v84(constB24, bitIndex2)),
% 8.48/6.04 inference(unit_resolution,[status(thm)],[11858, 11857, 11825])).
% 8.48/6.04 tff(11860,plain,
% 8.48/6.04 ((~(v84(constB25, bitIndex2) <=> v84(constB24, bitIndex2))) | v84(constB25, bitIndex2) | (~v84(constB24, bitIndex2))),
% 8.48/6.04 inference(tautology,[status(thm)],[])).
% 8.48/6.04 tff(11861,plain,
% 8.48/6.04 (v84(constB25, bitIndex2)),
% 8.48/6.04 inference(unit_resolution,[status(thm)],[11860, 11859, 8661])).
% 8.48/6.04 tff(11862,plain,
% 8.48/6.04 (((~![B: $i] : ((~less_3(B)) | (v84(constB25, B) <=> v84(constB24, B)))) | ((~less_3(bitIndex0)) | (v84(constB25, bitIndex0) <=> v84(constB24, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB25, B) <=> v84(constB24, B)))) | (~less_3(bitIndex0)) | (v84(constB25, bitIndex0) <=> v84(constB24, bitIndex0)))),
% 8.48/6.04 inference(rewrite,[status(thm)],[])).
% 8.48/6.04 tff(11863,plain,
% 8.48/6.04 ((~![B: $i] : ((~less_3(B)) | (v84(constB25, B) <=> v84(constB24, B)))) | ((~less_3(bitIndex0)) | (v84(constB25, bitIndex0) <=> v84(constB24, bitIndex0)))),
% 8.48/6.04 inference(quant_inst,[status(thm)],[])).
% 8.48/6.04 tff(11864,plain,
% 8.48/6.04 ((~![B: $i] : ((~less_3(B)) | (v84(constB25, B) <=> v84(constB24, B)))) | (~less_3(bitIndex0)) | (v84(constB25, bitIndex0) <=> v84(constB24, bitIndex0))),
% 8.48/6.04 inference(modus_ponens,[status(thm)],[11863, 11862])).
% 8.48/6.04 tff(11865,plain,
% 8.48/6.04 (v84(constB25, bitIndex0) <=> v84(constB24, bitIndex0)),
% 8.48/6.04 inference(unit_resolution,[status(thm)],[11864, 9772, 8657])).
% 8.48/6.04 tff(11866,plain,
% 8.48/6.04 (((~![B: $i] : ((~less_3(B)) | (v84(constB24, B) <=> v123(constB24, B)))) | ((~less_3(bitIndex0)) | (v84(constB24, bitIndex0) <=> v123(constB24, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB24, B) <=> v123(constB24, B)))) | (~less_3(bitIndex0)) | (v84(constB24, bitIndex0) <=> v123(constB24, bitIndex0)))),
% 8.48/6.04 inference(rewrite,[status(thm)],[])).
% 8.48/6.04 tff(11867,plain,
% 8.48/6.04 ((~![B: $i] : ((~less_3(B)) | (v84(constB24, B) <=> v123(constB24, B)))) | ((~less_3(bitIndex0)) | (v84(constB24, bitIndex0) <=> v123(constB24, bitIndex0)))),
% 8.48/6.04 inference(quant_inst,[status(thm)],[])).
% 8.48/6.04 tff(11868,plain,
% 8.48/6.04 ((~![B: $i] : ((~less_3(B)) | (v84(constB24, B) <=> v123(constB24, B)))) | (~less_3(bitIndex0)) | (v84(constB24, bitIndex0) <=> v123(constB24, bitIndex0))),
% 8.48/6.04 inference(modus_ponens,[status(thm)],[11867, 11866])).
% 8.48/6.04 tff(11869,plain,
% 8.48/6.04 (v84(constB24, bitIndex0) <=> v123(constB24, bitIndex0)),
% 8.48/6.04 inference(unit_resolution,[status(thm)],[11868, 9772, 11821])).
% 8.48/6.04 tff(11870,plain,
% 8.48/6.04 (((~![B: $i] : ((~less_3(B)) | (v123(constB24, B) <=> v121(constB23, B)))) | ((~less_3(bitIndex0)) | (v123(constB24, bitIndex0) <=> v121(constB23, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB24, B) <=> v121(constB23, B)))) | (~less_3(bitIndex0)) | (v123(constB24, bitIndex0) <=> v121(constB23, bitIndex0)))),
% 8.48/6.04 inference(rewrite,[status(thm)],[])).
% 8.48/6.04 tff(11871,plain,
% 8.48/6.04 ((~![B: $i] : ((~less_3(B)) | (v123(constB24, B) <=> v121(constB23, B)))) | ((~less_3(bitIndex0)) | (v123(constB24, bitIndex0) <=> v121(constB23, bitIndex0)))),
% 8.48/6.04 inference(quant_inst,[status(thm)],[])).
% 8.48/6.04 tff(11872,plain,
% 8.48/6.04 ((~![B: $i] : ((~less_3(B)) | (v123(constB24, B) <=> v121(constB23, B)))) | (~less_3(bitIndex0)) | (v123(constB24, bitIndex0) <=> v121(constB23, bitIndex0))),
% 8.48/6.04 inference(modus_ponens,[status(thm)],[11871, 11870])).
% 8.48/6.04 tff(11873,plain,
% 8.48/6.04 (v123(constB24, bitIndex0) <=> v121(constB23, bitIndex0)),
% 8.48/6.04 inference(unit_resolution,[status(thm)],[11872, 9772, 11829])).
% 8.48/6.04 tff(11874,plain,
% 8.48/6.04 (((~![B: $i] : ((~less_3(B)) | (v121(constB23, B) <=> v124(constB23, B)))) | ((~less_3(bitIndex0)) | (v121(constB23, bitIndex0) <=> v124(constB23, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB23, B) <=> v124(constB23, B)))) | (~less_3(bitIndex0)) | (v121(constB23, bitIndex0) <=> v124(constB23, bitIndex0)))),
% 8.48/6.04 inference(rewrite,[status(thm)],[])).
% 8.48/6.04 tff(11875,plain,
% 8.48/6.04 ((~![B: $i] : ((~less_3(B)) | (v121(constB23, B) <=> v124(constB23, B)))) | ((~less_3(bitIndex0)) | (v121(constB23, bitIndex0) <=> v124(constB23, bitIndex0)))),
% 8.48/6.04 inference(quant_inst,[status(thm)],[])).
% 8.48/6.04 tff(11876,plain,
% 8.48/6.04 ((~![B: $i] : ((~less_3(B)) | (v121(constB23, B) <=> v124(constB23, B)))) | (~less_3(bitIndex0)) | (v121(constB23, bitIndex0) <=> v124(constB23, bitIndex0))),
% 8.48/6.04 inference(modus_ponens,[status(thm)],[11875, 11874])).
% 8.48/6.04 tff(11877,plain,
% 8.48/6.04 (v121(constB23, bitIndex0) <=> v124(constB23, bitIndex0)),
% 8.48/6.04 inference(unit_resolution,[status(thm)],[11876, 9772, 11837])).
% 8.48/6.04 tff(11878,plain,
% 8.48/6.04 (((~![B: $i] : ((~less_3(B)) | (v124(constB23, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v124(constB23, bitIndex0) <=> b110(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB23, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v124(constB23, bitIndex0) <=> b110(bitIndex0)))),
% 8.48/6.04 inference(rewrite,[status(thm)],[])).
% 8.48/6.04 tff(11879,plain,
% 8.48/6.04 ((~![B: $i] : ((~less_3(B)) | (v124(constB23, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v124(constB23, bitIndex0) <=> b110(bitIndex0)))),
% 8.48/6.04 inference(quant_inst,[status(thm)],[])).
% 8.48/6.04 tff(11880,plain,
% 8.48/6.04 ((~![B: $i] : ((~less_3(B)) | (v124(constB23, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v124(constB23, bitIndex0) <=> b110(bitIndex0))),
% 8.48/6.04 inference(modus_ponens,[status(thm)],[11879, 11878])).
% 8.48/6.04 tff(11881,plain,
% 8.48/6.04 (v124(constB23, bitIndex0) <=> b110(bitIndex0)),
% 8.48/6.04 inference(unit_resolution,[status(thm)],[11880, 9772, 11846])).
% 8.48/6.04 tff(11882,plain,
% 8.48/6.04 ((~(v124(constB23, bitIndex0) <=> b110(bitIndex0))) | (~v124(constB23, bitIndex0)) | b110(bitIndex0)),
% 8.48/6.04 inference(tautology,[status(thm)],[])).
% 8.48/6.04 tff(11883,plain,
% 8.48/6.04 ((~(v124(constB23, bitIndex0) <=> b110(bitIndex0))) | (~v124(constB23, bitIndex0))),
% 8.48/6.04 inference(unit_resolution,[status(thm)],[11882, 10891])).
% 8.48/6.04 tff(11884,plain,
% 8.48/6.04 (~v124(constB23, bitIndex0)),
% 8.48/6.04 inference(unit_resolution,[status(thm)],[11883, 11881])).
% 8.48/6.04 tff(11885,plain,
% 8.48/6.04 ((~(v121(constB23, bitIndex0) <=> v124(constB23, bitIndex0))) | (~v121(constB23, bitIndex0)) | v124(constB23, bitIndex0)),
% 8.48/6.04 inference(tautology,[status(thm)],[])).
% 8.48/6.04 tff(11886,plain,
% 8.48/6.04 (~v121(constB23, bitIndex0)),
% 8.48/6.04 inference(unit_resolution,[status(thm)],[11885, 11884, 11877])).
% 8.48/6.04 tff(11887,plain,
% 8.48/6.04 ((~(v123(constB24, bitIndex0) <=> v121(constB23, bitIndex0))) | (~v123(constB24, bitIndex0)) | v121(constB23, bitIndex0)),
% 8.48/6.04 inference(tautology,[status(thm)],[])).
% 8.48/6.04 tff(11888,plain,
% 8.48/6.04 (~v123(constB24, bitIndex0)),
% 8.48/6.04 inference(unit_resolution,[status(thm)],[11887, 11886, 11873])).
% 8.48/6.04 tff(11889,plain,
% 8.48/6.04 ((~(v84(constB24, bitIndex0) <=> v123(constB24, bitIndex0))) | (~v84(constB24, bitIndex0)) | v123(constB24, bitIndex0)),
% 8.48/6.04 inference(tautology,[status(thm)],[])).
% 8.48/6.04 tff(11890,plain,
% 8.48/6.04 (~v84(constB24, bitIndex0)),
% 8.48/6.04 inference(unit_resolution,[status(thm)],[11889, 11888, 11869])).
% 8.48/6.04 tff(11891,plain,
% 8.48/6.04 ((~(v84(constB25, bitIndex0) <=> v84(constB24, bitIndex0))) | (~v84(constB25, bitIndex0)) | v84(constB24, bitIndex0)),
% 8.48/6.04 inference(tautology,[status(thm)],[])).
% 8.48/6.04 tff(11892,plain,
% 8.48/6.04 (~v84(constB25, bitIndex0)),
% 8.48/6.04 inference(unit_resolution,[status(thm)],[11891, 11890, 11865])).
% 8.48/6.04 tff(11893,plain,
% 8.48/6.04 (((~![B: $i] : ((~less_3(B)) | (v84(constB25, B) <=> v84(constB24, B)))) | ((~less_3(bitIndex1)) | (v84(constB25, bitIndex1) <=> v84(constB24, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB25, B) <=> v84(constB24, B)))) | (~less_3(bitIndex1)) | (v84(constB25, bitIndex1) <=> v84(constB24, bitIndex1)))),
% 8.48/6.04 inference(rewrite,[status(thm)],[])).
% 8.48/6.04 tff(11894,plain,
% 8.48/6.04 ((~![B: $i] : ((~less_3(B)) | (v84(constB25, B) <=> v84(constB24, B)))) | ((~less_3(bitIndex1)) | (v84(constB25, bitIndex1) <=> v84(constB24, bitIndex1)))),
% 8.48/6.04 inference(quant_inst,[status(thm)],[])).
% 8.48/6.04 tff(11895,plain,
% 8.48/6.04 ((~![B: $i] : ((~less_3(B)) | (v84(constB25, B) <=> v84(constB24, B)))) | (~less_3(bitIndex1)) | (v84(constB25, bitIndex1) <=> v84(constB24, bitIndex1))),
% 8.48/6.04 inference(modus_ponens,[status(thm)],[11894, 11893])).
% 8.48/6.04 tff(11896,plain,
% 8.48/6.04 (v84(constB25, bitIndex1) <=> v84(constB24, bitIndex1)),
% 8.48/6.04 inference(unit_resolution,[status(thm)],[11895, 9785, 8657])).
% 8.48/6.04 tff(11897,plain,
% 8.48/6.04 (((~![B: $i] : ((~less_3(B)) | (v84(constB24, B) <=> v123(constB24, B)))) | ((~less_3(bitIndex1)) | (v84(constB24, bitIndex1) <=> v123(constB24, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB24, B) <=> v123(constB24, B)))) | (~less_3(bitIndex1)) | (v84(constB24, bitIndex1) <=> v123(constB24, bitIndex1)))),
% 8.48/6.04 inference(rewrite,[status(thm)],[])).
% 8.48/6.04 tff(11898,plain,
% 8.48/6.04 ((~![B: $i] : ((~less_3(B)) | (v84(constB24, B) <=> v123(constB24, B)))) | ((~less_3(bitIndex1)) | (v84(constB24, bitIndex1) <=> v123(constB24, bitIndex1)))),
% 8.48/6.04 inference(quant_inst,[status(thm)],[])).
% 8.48/6.04 tff(11899,plain,
% 8.48/6.04 ((~![B: $i] : ((~less_3(B)) | (v84(constB24, B) <=> v123(constB24, B)))) | (~less_3(bitIndex1)) | (v84(constB24, bitIndex1) <=> v123(constB24, bitIndex1))),
% 8.48/6.04 inference(modus_ponens,[status(thm)],[11898, 11897])).
% 8.48/6.04 tff(11900,plain,
% 8.48/6.04 (v84(constB24, bitIndex1) <=> v123(constB24, bitIndex1)),
% 8.48/6.04 inference(unit_resolution,[status(thm)],[11899, 9785, 11821])).
% 8.48/6.04 tff(11901,plain,
% 8.48/6.04 (((~![B: $i] : ((~less_3(B)) | (v123(constB24, B) <=> v121(constB23, B)))) | ((~less_3(bitIndex1)) | (v123(constB24, bitIndex1) <=> v121(constB23, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB24, B) <=> v121(constB23, B)))) | (~less_3(bitIndex1)) | (v123(constB24, bitIndex1) <=> v121(constB23, bitIndex1)))),
% 8.48/6.04 inference(rewrite,[status(thm)],[])).
% 8.48/6.04 tff(11902,plain,
% 8.48/6.04 ((~![B: $i] : ((~less_3(B)) | (v123(constB24, B) <=> v121(constB23, B)))) | ((~less_3(bitIndex1)) | (v123(constB24, bitIndex1) <=> v121(constB23, bitIndex1)))),
% 8.48/6.04 inference(quant_inst,[status(thm)],[])).
% 8.48/6.04 tff(11903,plain,
% 8.48/6.04 ((~![B: $i] : ((~less_3(B)) | (v123(constB24, B) <=> v121(constB23, B)))) | (~less_3(bitIndex1)) | (v123(constB24, bitIndex1) <=> v121(constB23, bitIndex1))),
% 8.48/6.04 inference(modus_ponens,[status(thm)],[11902, 11901])).
% 8.48/6.04 tff(11904,plain,
% 8.48/6.04 (v123(constB24, bitIndex1) <=> v121(constB23, bitIndex1)),
% 8.48/6.04 inference(unit_resolution,[status(thm)],[11903, 9785, 11829])).
% 8.48/6.04 tff(11905,plain,
% 8.48/6.04 (((~![B: $i] : ((~less_3(B)) | (v121(constB23, B) <=> v124(constB23, B)))) | ((~less_3(bitIndex1)) | (v121(constB23, bitIndex1) <=> v124(constB23, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB23, B) <=> v124(constB23, B)))) | (~less_3(bitIndex1)) | (v121(constB23, bitIndex1) <=> v124(constB23, bitIndex1)))),
% 8.48/6.04 inference(rewrite,[status(thm)],[])).
% 8.48/6.04 tff(11906,plain,
% 8.48/6.04 ((~![B: $i] : ((~less_3(B)) | (v121(constB23, B) <=> v124(constB23, B)))) | ((~less_3(bitIndex1)) | (v121(constB23, bitIndex1) <=> v124(constB23, bitIndex1)))),
% 8.48/6.04 inference(quant_inst,[status(thm)],[])).
% 8.48/6.04 tff(11907,plain,
% 8.48/6.04 ((~![B: $i] : ((~less_3(B)) | (v121(constB23, B) <=> v124(constB23, B)))) | (~less_3(bitIndex1)) | (v121(constB23, bitIndex1) <=> v124(constB23, bitIndex1))),
% 8.48/6.04 inference(modus_ponens,[status(thm)],[11906, 11905])).
% 8.48/6.04 tff(11908,plain,
% 8.48/6.04 (v121(constB23, bitIndex1) <=> v124(constB23, bitIndex1)),
% 8.48/6.04 inference(unit_resolution,[status(thm)],[11907, 9785, 11837])).
% 8.48/6.04 tff(11909,plain,
% 8.48/6.04 (((~![B: $i] : ((~less_3(B)) | (v124(constB23, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v124(constB23, bitIndex1) <=> b110(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB23, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v124(constB23, bitIndex1) <=> b110(bitIndex1)))),
% 8.48/6.04 inference(rewrite,[status(thm)],[])).
% 8.48/6.04 tff(11910,plain,
% 8.48/6.04 ((~![B: $i] : ((~less_3(B)) | (v124(constB23, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v124(constB23, bitIndex1) <=> b110(bitIndex1)))),
% 8.48/6.04 inference(quant_inst,[status(thm)],[])).
% 8.48/6.04 tff(11911,plain,
% 8.48/6.04 ((~![B: $i] : ((~less_3(B)) | (v124(constB23, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v124(constB23, bitIndex1) <=> b110(bitIndex1))),
% 8.48/6.04 inference(modus_ponens,[status(thm)],[11910, 11909])).
% 8.48/6.04 tff(11912,plain,
% 8.48/6.04 (v124(constB23, bitIndex1) <=> b110(bitIndex1)),
% 8.48/6.04 inference(unit_resolution,[status(thm)],[11911, 9785, 11846])).
% 8.48/6.04 tff(11913,plain,
% 8.48/6.04 ((~(v124(constB23, bitIndex1) <=> b110(bitIndex1))) | v124(constB23, bitIndex1) | (~b110(bitIndex1))),
% 8.48/6.04 inference(tautology,[status(thm)],[])).
% 8.48/6.04 tff(11914,plain,
% 8.48/6.04 ((~(v124(constB23, bitIndex1) <=> b110(bitIndex1))) | v124(constB23, bitIndex1)),
% 8.48/6.04 inference(unit_resolution,[status(thm)],[11913, 10925])).
% 8.48/6.04 tff(11915,plain,
% 8.48/6.04 (v124(constB23, bitIndex1)),
% 8.48/6.04 inference(unit_resolution,[status(thm)],[11914, 11912])).
% 8.48/6.04 tff(11916,plain,
% 8.48/6.04 ((~(v121(constB23, bitIndex1) <=> v124(constB23, bitIndex1))) | v121(constB23, bitIndex1) | (~v124(constB23, bitIndex1))),
% 8.48/6.04 inference(tautology,[status(thm)],[])).
% 8.48/6.04 tff(11917,plain,
% 8.48/6.04 (v121(constB23, bitIndex1)),
% 8.48/6.04 inference(unit_resolution,[status(thm)],[11916, 11915, 11908])).
% 8.48/6.04 tff(11918,plain,
% 8.48/6.04 ((~(v123(constB24, bitIndex1) <=> v121(constB23, bitIndex1))) | v123(constB24, bitIndex1) | (~v121(constB23, bitIndex1))),
% 8.48/6.04 inference(tautology,[status(thm)],[])).
% 8.48/6.04 tff(11919,plain,
% 8.48/6.04 (v123(constB24, bitIndex1)),
% 8.48/6.04 inference(unit_resolution,[status(thm)],[11918, 11917, 11904])).
% 8.48/6.04 tff(11920,plain,
% 8.48/6.04 ((~(v84(constB24, bitIndex1) <=> v123(constB24, bitIndex1))) | v84(constB24, bitIndex1) | (~v123(constB24, bitIndex1))),
% 8.48/6.04 inference(tautology,[status(thm)],[])).
% 8.48/6.04 tff(11921,plain,
% 8.48/6.04 (v84(constB24, bitIndex1)),
% 8.48/6.04 inference(unit_resolution,[status(thm)],[11920, 11919, 11900])).
% 8.48/6.04 tff(11922,plain,
% 8.48/6.04 ((~(v84(constB25, bitIndex1) <=> v84(constB24, bitIndex1))) | v84(constB25, bitIndex1) | (~v84(constB24, bitIndex1))),
% 8.48/6.04 inference(tautology,[status(thm)],[])).
% 8.48/6.04 tff(11923,plain,
% 8.48/6.04 (v84(constB25, bitIndex1)),
% 8.48/6.04 inference(unit_resolution,[status(thm)],[11922, 11921, 11896])).
% 8.48/6.04 tff(11924,plain,
% 8.48/6.04 ((~((~v84(constB25, bitIndex2)) | (~v84(constB25, bitIndex1)) | v84(constB25, bitIndex0))) | (~v84(constB25, bitIndex2)) | (~v84(constB25, bitIndex1)) | v84(constB25, bitIndex0)),
% 8.48/6.04 inference(tautology,[status(thm)],[])).
% 8.48/6.04 tff(11925,plain,
% 8.48/6.04 (~((~v84(constB25, bitIndex2)) | (~v84(constB25, bitIndex1)) | v84(constB25, bitIndex0))),
% 8.48/6.04 inference(unit_resolution,[status(thm)],[11924, 11923, 11892, 11861])).
% 8.48/6.04 tff(11926,plain,
% 8.48/6.04 ((~(v119(constB25) <=> (~((~v84(constB25, bitIndex2)) | (~v84(constB25, bitIndex1)) | v84(constB25, bitIndex0))))) | v119(constB25) | ((~v84(constB25, bitIndex2)) | (~v84(constB25, bitIndex1)) | v84(constB25, bitIndex0))),
% 8.48/6.04 inference(tautology,[status(thm)],[])).
% 8.48/6.04 tff(11927,plain,
% 8.48/6.04 (v119(constB25)),
% 8.48/6.04 inference(unit_resolution,[status(thm)],[11926, 11925, 8629])).
% 8.48/6.04 tff(11928,plain,
% 8.48/6.04 ((v108(constB25) | v119(constB25)) | (~v119(constB25))),
% 8.48/6.04 inference(tautology,[status(thm)],[])).
% 8.48/6.04 tff(11929,plain,
% 8.48/6.04 (v108(constB25) | v119(constB25)),
% 8.48/6.04 inference(unit_resolution,[status(thm)],[11928, 11927])).
% 8.48/6.04 tff(11930,plain,
% 8.48/6.04 ((~(v107(constB25) <=> (v108(constB25) | v119(constB25)))) | v107(constB25) | (~(v108(constB25) | v119(constB25)))),
% 8.48/6.04 inference(tautology,[status(thm)],[])).
% 8.48/6.04 tff(11931,plain,
% 8.48/6.04 (v107(constB25)),
% 8.48/6.04 inference(unit_resolution,[status(thm)],[11930, 11929, 8622])).
% 8.48/6.04 tff(11932,plain,
% 8.48/6.04 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB25)) <=> v105(constB25))),
% 8.48/6.04 inference(quant_inst,[status(thm)],[])).
% 8.48/6.04 tff(11933,plain,
% 8.48/6.04 ((~v120(constB25)) <=> v105(constB25)),
% 8.48/6.04 inference(unit_resolution,[status(thm)],[11932, 9842])).
% 8.48/6.04 tff(11934,plain,
% 8.48/6.04 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB25) <=> v26(constB25))),
% 8.48/6.04 inference(quant_inst,[status(thm)],[])).
% 8.48/6.04 tff(11935,plain,
% 8.48/6.04 (v105(constB25) <=> v26(constB25)),
% 8.48/6.04 inference(unit_resolution,[status(thm)],[11934, 9854])).
% 8.48/6.04 tff(11936,plain,
% 8.48/6.04 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB25))),
% 8.48/6.04 inference(quant_inst,[status(thm)],[])).
% 8.48/6.04 tff(11937,plain,
% 8.48/6.04 (~v26(constB25)),
% 8.48/6.04 inference(unit_resolution,[status(thm)],[11936, 9866])).
% 8.48/6.04 tff(11938,plain,
% 8.48/6.04 ((~(v105(constB25) <=> v26(constB25))) | (~v105(constB25)) | v26(constB25)),
% 8.48/6.04 inference(tautology,[status(thm)],[])).
% 8.48/6.04 tff(11939,plain,
% 8.48/6.04 ((~(v105(constB25) <=> v26(constB25))) | (~v105(constB25))),
% 8.48/6.04 inference(unit_resolution,[status(thm)],[11938, 11937])).
% 8.48/6.04 tff(11940,plain,
% 8.48/6.04 (~v105(constB25)),
% 8.48/6.04 inference(unit_resolution,[status(thm)],[11939, 11935])).
% 8.48/6.04 tff(11941,plain,
% 8.48/6.04 ((~((~v120(constB25)) <=> v105(constB25))) | v120(constB25) | v105(constB25)),
% 8.48/6.04 inference(tautology,[status(thm)],[])).
% 8.48/6.04 tff(11942,plain,
% 8.48/6.04 ((~((~v120(constB25)) <=> v105(constB25))) | v120(constB25)),
% 8.48/6.04 inference(unit_resolution,[status(thm)],[11941, 11940])).
% 8.48/6.04 tff(11943,plain,
% 8.48/6.04 (v120(constB25)),
% 8.48/6.04 inference(unit_resolution,[status(thm)],[11942, 11933])).
% 8.48/6.04 tff(11944,plain,
% 8.48/6.04 ((~((~v107(constB25)) | (~v120(constB25)))) | (~v107(constB25)) | (~v120(constB25))),
% 8.48/6.04 inference(tautology,[status(thm)],[])).
% 8.48/6.04 tff(11945,plain,
% 8.48/6.04 ((~((~v107(constB25)) | (~v120(constB25)))) | (~v107(constB25))),
% 8.48/6.04 inference(unit_resolution,[status(thm)],[11944, 11943])).
% 8.48/6.04 tff(11946,plain,
% 8.48/6.04 (~((~v107(constB25)) | (~v120(constB25)))),
% 8.48/6.04 inference(unit_resolution,[status(thm)],[11945, 11931])).
% 8.48/6.04 tff(11947,plain,
% 8.48/6.04 ((~(v106(constB25) <=> (~((~v107(constB25)) | (~v120(constB25)))))) | v106(constB25) | ((~v107(constB25)) | (~v120(constB25)))),
% 8.48/6.04 inference(tautology,[status(thm)],[])).
% 8.48/6.04 tff(11948,plain,
% 8.48/6.04 (v106(constB25)),
% 8.48/6.04 inference(unit_resolution,[status(thm)],[11947, 11946, 8620])).
% 8.48/6.04 tff(11949,plain,
% 8.48/6.04 ((v105(constB25) | v106(constB25)) | (~v106(constB25))),
% 8.48/6.04 inference(tautology,[status(thm)],[])).
% 8.48/6.04 tff(11950,plain,
% 8.48/6.04 (v105(constB25) | v106(constB25)),
% 8.48/6.04 inference(unit_resolution,[status(thm)],[11949, 11948])).
% 8.48/6.04 tff(11951,plain,
% 8.48/6.04 ((~(v102(constB25) <=> (v105(constB25) | v106(constB25)))) | v102(constB25) | (~(v105(constB25) | v106(constB25)))),
% 8.48/6.04 inference(tautology,[status(thm)],[])).
% 8.48/6.04 tff(11952,plain,
% 8.48/6.04 (v102(constB25)),
% 8.48/6.04 inference(unit_resolution,[status(thm)],[11951, 11950, 8618])).
% 8.48/6.04 tff(11953,plain,
% 8.48/6.04 ((~(v104(constB26) <=> v102(constB25))) | v104(constB26) | (~v102(constB25))),
% 8.48/6.04 inference(tautology,[status(thm)],[])).
% 8.48/6.04 tff(11954,plain,
% 8.48/6.04 (v104(constB26)),
% 8.48/6.04 inference(unit_resolution,[status(thm)],[11953, 11952, 8616])).
% 8.48/6.04 tff(11955,plain,
% 8.48/6.04 ((~((~v104(constB26)) | (~v95(constB26)))) | (~v104(constB26)) | (~v95(constB26))),
% 8.48/6.04 inference(tautology,[status(thm)],[])).
% 8.48/6.04 tff(11956,plain,
% 8.48/6.04 (~((~v104(constB26)) | (~v95(constB26)))),
% 8.48/6.04 inference(unit_resolution,[status(thm)],[11955, 11954, 8612])).
% 8.48/6.04 tff(11957,plain,
% 8.48/6.04 ((~(v94(constB26) <=> (~((~v104(constB26)) | (~v95(constB26)))))) | v94(constB26) | ((~v104(constB26)) | (~v95(constB26)))),
% 8.48/6.04 inference(tautology,[status(thm)],[])).
% 8.48/6.04 tff(11958,plain,
% 8.48/6.04 (v94(constB26)),
% 8.48/6.04 inference(unit_resolution,[status(thm)],[11957, 11956, 8581])).
% 8.48/6.04 tff(11959,plain,
% 8.48/6.04 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB26)) | ![B: $i] : ((~less_3(B)) | (v84(constB26, B) <=> v123(constB26, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB26)) | ![B: $i] : ((~less_3(B)) | (v84(constB26, B) <=> v123(constB26, B))))),
% 8.48/6.04 inference(rewrite,[status(thm)],[])).
% 8.48/6.04 tff(11960,plain,
% 8.48/6.04 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB26)) | ![B: $i] : ((~less_3(B)) | (v84(constB26, B) <=> v123(constB26, B))))),
% 8.48/6.04 inference(quant_inst,[status(thm)],[])).
% 8.48/6.04 tff(11961,plain,
% 8.48/6.04 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB26)) | ![B: $i] : ((~less_3(B)) | (v84(constB26, B) <=> v123(constB26, B)))),
% 8.48/6.04 inference(modus_ponens,[status(thm)],[11960, 11959])).
% 8.48/6.04 tff(11962,plain,
% 8.48/6.04 ((~v94(constB26)) | ![B: $i] : ((~less_3(B)) | (v84(constB26, B) <=> v123(constB26, B)))),
% 8.48/6.04 inference(unit_resolution,[status(thm)],[11961, 9902])).
% 8.48/6.04 tff(11963,plain,
% 8.48/6.04 (![B: $i] : ((~less_3(B)) | (v84(constB26, B) <=> v123(constB26, B)))),
% 8.48/6.04 inference(unit_resolution,[status(thm)],[11962, 11958])).
% 8.48/6.04 tff(11964,plain,
% 8.48/6.04 (((~![B: $i] : ((~less_3(B)) | (v84(constB26, B) <=> v123(constB26, B)))) | ((~less_3(bitIndex2)) | (v84(constB26, bitIndex2) <=> v123(constB26, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB26, B) <=> v123(constB26, B)))) | (~less_3(bitIndex2)) | (v84(constB26, bitIndex2) <=> v123(constB26, bitIndex2)))),
% 8.48/6.04 inference(rewrite,[status(thm)],[])).
% 8.48/6.04 tff(11965,plain,
% 8.48/6.04 ((~![B: $i] : ((~less_3(B)) | (v84(constB26, B) <=> v123(constB26, B)))) | ((~less_3(bitIndex2)) | (v84(constB26, bitIndex2) <=> v123(constB26, bitIndex2)))),
% 8.48/6.04 inference(quant_inst,[status(thm)],[])).
% 8.48/6.04 tff(11966,plain,
% 8.48/6.04 ((~![B: $i] : ((~less_3(B)) | (v84(constB26, B) <=> v123(constB26, B)))) | (~less_3(bitIndex2)) | (v84(constB26, bitIndex2) <=> v123(constB26, bitIndex2))),
% 8.48/6.04 inference(modus_ponens,[status(thm)],[11965, 11964])).
% 8.48/6.04 tff(11967,plain,
% 8.48/6.04 (v84(constB26, bitIndex2) <=> v123(constB26, bitIndex2)),
% 8.48/6.04 inference(unit_resolution,[status(thm)],[11966, 832, 11963])).
% 8.48/6.04 tff(11968,plain,
% 8.48/6.04 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB25, constB26)) | ![B: $i] : ((~less_3(B)) | (v123(constB26, B) <=> v121(constB25, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB25, constB26)) | ![B: $i] : ((~less_3(B)) | (v123(constB26, B) <=> v121(constB25, B))))),
% 8.48/6.04 inference(rewrite,[status(thm)],[])).
% 8.48/6.04 tff(11969,plain,
% 8.48/6.04 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB25, constB26)) | ![B: $i] : ((~less_3(B)) | (v123(constB26, B) <=> v121(constB25, B))))),
% 8.48/6.04 inference(quant_inst,[status(thm)],[])).
% 8.48/6.04 tff(11970,plain,
% 8.48/6.04 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB25, constB26)) | ![B: $i] : ((~less_3(B)) | (v123(constB26, B) <=> v121(constB25, B)))),
% 8.48/6.04 inference(modus_ponens,[status(thm)],[11969, 11968])).
% 8.48/6.04 tff(11971,plain,
% 8.48/6.04 (![B: $i] : ((~less_3(B)) | (v123(constB26, B) <=> v121(constB25, B)))),
% 8.48/6.04 inference(unit_resolution,[status(thm)],[11970, 8577, 9924])).
% 8.48/6.04 tff(11972,plain,
% 8.48/6.04 (((~![B: $i] : ((~less_3(B)) | (v123(constB26, B) <=> v121(constB25, B)))) | ((~less_3(bitIndex2)) | (v123(constB26, bitIndex2) <=> v121(constB25, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB26, B) <=> v121(constB25, B)))) | (~less_3(bitIndex2)) | (v123(constB26, bitIndex2) <=> v121(constB25, bitIndex2)))),
% 8.48/6.04 inference(rewrite,[status(thm)],[])).
% 8.48/6.04 tff(11973,plain,
% 8.48/6.04 ((~![B: $i] : ((~less_3(B)) | (v123(constB26, B) <=> v121(constB25, B)))) | ((~less_3(bitIndex2)) | (v123(constB26, bitIndex2) <=> v121(constB25, bitIndex2)))),
% 8.48/6.04 inference(quant_inst,[status(thm)],[])).
% 8.48/6.04 tff(11974,plain,
% 8.48/6.04 ((~![B: $i] : ((~less_3(B)) | (v123(constB26, B) <=> v121(constB25, B)))) | (~less_3(bitIndex2)) | (v123(constB26, bitIndex2) <=> v121(constB25, bitIndex2))),
% 8.48/6.04 inference(modus_ponens,[status(thm)],[11973, 11972])).
% 8.48/6.04 tff(11975,plain,
% 8.48/6.04 (v123(constB26, bitIndex2) <=> v121(constB25, bitIndex2)),
% 8.48/6.04 inference(unit_resolution,[status(thm)],[11974, 832, 11971])).
% 8.48/6.04 tff(11976,plain,
% 8.48/6.04 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB25) | ![B: $i] : ((~less_3(B)) | (v121(constB25, B) <=> v124(constB25, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB25) | ![B: $i] : ((~less_3(B)) | (v121(constB25, B) <=> v124(constB25, B))))),
% 8.48/6.04 inference(rewrite,[status(thm)],[])).
% 8.48/6.04 tff(11977,plain,
% 8.48/6.04 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB25) | ![B: $i] : ((~less_3(B)) | (v121(constB25, B) <=> v124(constB25, B))))),
% 8.48/6.04 inference(quant_inst,[status(thm)],[])).
% 8.48/6.04 tff(11978,plain,
% 8.48/6.04 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB25) | ![B: $i] : ((~less_3(B)) | (v121(constB25, B) <=> v124(constB25, B)))),
% 8.48/6.04 inference(modus_ponens,[status(thm)],[11977, 11976])).
% 8.48/6.04 tff(11979,plain,
% 8.48/6.04 (![B: $i] : ((~less_3(B)) | (v121(constB25, B) <=> v124(constB25, B)))),
% 8.48/6.04 inference(unit_resolution,[status(thm)],[11978, 9945, 11940])).
% 8.48/6.04 tff(11980,plain,
% 8.48/6.04 (((~![B: $i] : ((~less_3(B)) | (v121(constB25, B) <=> v124(constB25, B)))) | ((~less_3(bitIndex2)) | (v121(constB25, bitIndex2) <=> v124(constB25, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB25, B) <=> v124(constB25, B)))) | (~less_3(bitIndex2)) | (v121(constB25, bitIndex2) <=> v124(constB25, bitIndex2)))),
% 8.48/6.04 inference(rewrite,[status(thm)],[])).
% 8.48/6.04 tff(11981,plain,
% 8.48/6.04 ((~![B: $i] : ((~less_3(B)) | (v121(constB25, B) <=> v124(constB25, B)))) | ((~less_3(bitIndex2)) | (v121(constB25, bitIndex2) <=> v124(constB25, bitIndex2)))),
% 8.48/6.04 inference(quant_inst,[status(thm)],[])).
% 8.48/6.04 tff(11982,plain,
% 8.48/6.04 ((~![B: $i] : ((~less_3(B)) | (v121(constB25, B) <=> v124(constB25, B)))) | (~less_3(bitIndex2)) | (v121(constB25, bitIndex2) <=> v124(constB25, bitIndex2))),
% 8.48/6.04 inference(modus_ponens,[status(thm)],[11981, 11980])).
% 8.48/6.04 tff(11983,plain,
% 8.48/6.04 (v121(constB25, bitIndex2) <=> v124(constB25, bitIndex2)),
% 8.48/6.04 inference(unit_resolution,[status(thm)],[11982, 832, 11979])).
% 8.48/6.04 tff(11984,plain,
% 8.48/6.04 ((~![VarCurr: $i] : (v113(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))))) | (v113(constB25) <=> (~(v84(constB25, bitIndex0) | v84(constB25, bitIndex1) | v84(constB25, bitIndex2))))),
% 8.48/6.04 inference(quant_inst,[status(thm)],[])).
% 8.48/6.04 tff(11985,plain,
% 8.48/6.04 (v113(constB25) <=> (~(v84(constB25, bitIndex0) | v84(constB25, bitIndex1) | v84(constB25, bitIndex2)))),
% 8.48/6.04 inference(unit_resolution,[status(thm)],[11984, 9739])).
% 8.48/6.04 tff(11986,plain,
% 8.48/6.04 ((v84(constB25, bitIndex0) | v84(constB25, bitIndex1) | v84(constB25, bitIndex2)) | (~v84(constB25, bitIndex2))),
% 8.48/6.04 inference(tautology,[status(thm)],[])).
% 8.48/6.04 tff(11987,plain,
% 8.48/6.04 (v84(constB25, bitIndex0) | v84(constB25, bitIndex1) | v84(constB25, bitIndex2)),
% 8.48/6.04 inference(unit_resolution,[status(thm)],[11986, 11861])).
% 8.48/6.04 tff(11988,plain,
% 8.48/6.04 ((~(v113(constB25) <=> (~(v84(constB25, bitIndex0) | v84(constB25, bitIndex1) | v84(constB25, bitIndex2))))) | (~v113(constB25)) | (~(v84(constB25, bitIndex0) | v84(constB25, bitIndex1) | v84(constB25, bitIndex2)))),
% 8.48/6.04 inference(tautology,[status(thm)],[])).
% 8.48/6.04 tff(11989,plain,
% 8.48/6.04 (~v113(constB25)),
% 8.48/6.04 inference(unit_resolution,[status(thm)],[11988, 11987, 11985])).
% 8.48/6.04 tff(11990,plain,
% 8.48/6.04 (((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB25) <=> (~((~v84(constB25, bitIndex2)) | v84(constB25, bitIndex1) | (~v84(constB25, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB25) <=> (~((~v84(constB25, bitIndex2)) | v84(constB25, bitIndex1) | (~v84(constB25, bitIndex0))))))),
% 8.48/6.04 inference(rewrite,[status(thm)],[])).
% 8.48/6.04 tff(11991,plain,
% 8.48/6.04 ((v118(constB25) <=> (~(v84(constB25, bitIndex1) | (~v84(constB25, bitIndex0)) | (~v84(constB25, bitIndex2))))) <=> (v118(constB25) <=> (~((~v84(constB25, bitIndex2)) | v84(constB25, bitIndex1) | (~v84(constB25, bitIndex0)))))),
% 8.48/6.04 inference(rewrite,[status(thm)],[])).
% 8.48/6.04 tff(11992,plain,
% 8.48/6.04 (((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB25) <=> (~(v84(constB25, bitIndex1) | (~v84(constB25, bitIndex0)) | (~v84(constB25, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB25) <=> (~((~v84(constB25, bitIndex2)) | v84(constB25, bitIndex1) | (~v84(constB25, bitIndex0))))))),
% 8.48/6.04 inference(monotonicity,[status(thm)],[11991])).
% 8.48/6.04 tff(11993,plain,
% 8.48/6.04 (((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB25) <=> (~(v84(constB25, bitIndex1) | (~v84(constB25, bitIndex0)) | (~v84(constB25, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB25) <=> (~((~v84(constB25, bitIndex2)) | v84(constB25, bitIndex1) | (~v84(constB25, bitIndex0))))))),
% 8.48/6.04 inference(transitivity,[status(thm)],[11992, 11990])).
% 8.48/6.04 tff(11994,plain,
% 8.48/6.04 ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB25) <=> (~(v84(constB25, bitIndex1) | (~v84(constB25, bitIndex0)) | (~v84(constB25, bitIndex2)))))),
% 8.48/6.04 inference(quant_inst,[status(thm)],[])).
% 8.48/6.04 tff(11995,plain,
% 8.48/6.04 ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB25) <=> (~((~v84(constB25, bitIndex2)) | v84(constB25, bitIndex1) | (~v84(constB25, bitIndex0)))))),
% 8.48/6.04 inference(modus_ponens,[status(thm)],[11994, 11993])).
% 8.48/6.04 tff(11996,plain,
% 8.48/6.04 (v118(constB25) <=> (~((~v84(constB25, bitIndex2)) | v84(constB25, bitIndex1) | (~v84(constB25, bitIndex0))))),
% 8.48/6.04 inference(unit_resolution,[status(thm)],[11995, 960])).
% 8.48/6.04 tff(11997,plain,
% 8.48/6.04 (((~v84(constB25, bitIndex2)) | v84(constB25, bitIndex1) | (~v84(constB25, bitIndex0))) | (~v84(constB25, bitIndex1))),
% 8.48/6.04 inference(tautology,[status(thm)],[])).
% 8.48/6.04 tff(11998,plain,
% 8.48/6.04 ((~v84(constB25, bitIndex2)) | v84(constB25, bitIndex1) | (~v84(constB25, bitIndex0))),
% 8.48/6.04 inference(unit_resolution,[status(thm)],[11997, 11923])).
% 8.48/6.05 tff(11999,plain,
% 8.48/6.05 ((~(v118(constB25) <=> (~((~v84(constB25, bitIndex2)) | v84(constB25, bitIndex1) | (~v84(constB25, bitIndex0)))))) | (~v118(constB25)) | (~((~v84(constB25, bitIndex2)) | v84(constB25, bitIndex1) | (~v84(constB25, bitIndex0))))),
% 8.48/6.05 inference(tautology,[status(thm)],[])).
% 8.48/6.05 tff(12000,plain,
% 8.48/6.05 (~v118(constB25)),
% 8.48/6.05 inference(unit_resolution,[status(thm)],[11999, 11998, 11996])).
% 8.48/6.05 tff(12001,plain,
% 8.48/6.05 (((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB25) <=> (~((~v84(constB25, bitIndex2)) | v84(constB25, bitIndex1) | v84(constB25, bitIndex0))))) <=> ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB25) <=> (~((~v84(constB25, bitIndex2)) | v84(constB25, bitIndex1) | v84(constB25, bitIndex0)))))),
% 8.48/6.05 inference(rewrite,[status(thm)],[])).
% 8.48/6.05 tff(12002,plain,
% 8.48/6.05 ((v117(constB25) <=> (~(v84(constB25, bitIndex0) | v84(constB25, bitIndex1) | (~v84(constB25, bitIndex2))))) <=> (v117(constB25) <=> (~((~v84(constB25, bitIndex2)) | v84(constB25, bitIndex1) | v84(constB25, bitIndex0))))),
% 8.48/6.05 inference(rewrite,[status(thm)],[])).
% 8.48/6.05 tff(12003,plain,
% 8.48/6.05 (((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB25) <=> (~(v84(constB25, bitIndex0) | v84(constB25, bitIndex1) | (~v84(constB25, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB25) <=> (~((~v84(constB25, bitIndex2)) | v84(constB25, bitIndex1) | v84(constB25, bitIndex0)))))),
% 8.48/6.05 inference(monotonicity,[status(thm)],[12002])).
% 8.48/6.05 tff(12004,plain,
% 8.48/6.05 (((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB25) <=> (~(v84(constB25, bitIndex0) | v84(constB25, bitIndex1) | (~v84(constB25, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB25) <=> (~((~v84(constB25, bitIndex2)) | v84(constB25, bitIndex1) | v84(constB25, bitIndex0)))))),
% 8.48/6.05 inference(transitivity,[status(thm)],[12003, 12001])).
% 8.48/6.05 tff(12005,plain,
% 8.48/6.05 ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB25) <=> (~(v84(constB25, bitIndex0) | v84(constB25, bitIndex1) | (~v84(constB25, bitIndex2)))))),
% 8.48/6.05 inference(quant_inst,[status(thm)],[])).
% 8.48/6.05 tff(12006,plain,
% 8.48/6.05 ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB25) <=> (~((~v84(constB25, bitIndex2)) | v84(constB25, bitIndex1) | v84(constB25, bitIndex0))))),
% 8.48/6.05 inference(modus_ponens,[status(thm)],[12005, 12004])).
% 8.48/6.05 tff(12007,plain,
% 8.48/6.05 (v117(constB25) <=> (~((~v84(constB25, bitIndex2)) | v84(constB25, bitIndex1) | v84(constB25, bitIndex0)))),
% 8.48/6.05 inference(unit_resolution,[status(thm)],[12006, 1071])).
% 8.48/6.05 tff(12008,plain,
% 8.48/6.05 (((~v84(constB25, bitIndex2)) | v84(constB25, bitIndex1) | v84(constB25, bitIndex0)) | (~v84(constB25, bitIndex1))),
% 8.48/6.05 inference(tautology,[status(thm)],[])).
% 8.48/6.05 tff(12009,plain,
% 8.48/6.05 ((~v84(constB25, bitIndex2)) | v84(constB25, bitIndex1) | v84(constB25, bitIndex0)),
% 8.48/6.05 inference(unit_resolution,[status(thm)],[12008, 11923])).
% 8.48/6.05 tff(12010,plain,
% 8.48/6.05 ((~(v117(constB25) <=> (~((~v84(constB25, bitIndex2)) | v84(constB25, bitIndex1) | v84(constB25, bitIndex0))))) | (~v117(constB25)) | (~((~v84(constB25, bitIndex2)) | v84(constB25, bitIndex1) | v84(constB25, bitIndex0)))),
% 8.48/6.05 inference(tautology,[status(thm)],[])).
% 8.48/6.05 tff(12011,plain,
% 8.48/6.05 (~v117(constB25)),
% 8.48/6.05 inference(unit_resolution,[status(thm)],[12010, 12009, 12007])).
% 8.48/6.05 tff(12012,plain,
% 8.48/6.05 ((~![VarCurr: $i] : (v116(VarCurr) <=> (~(v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex0)))))) | (v116(constB25) <=> (~(v84(constB25, bitIndex2) | (~v84(constB25, bitIndex1)) | (~v84(constB25, bitIndex0)))))),
% 8.48/6.05 inference(quant_inst,[status(thm)],[])).
% 8.48/6.05 tff(12013,plain,
% 8.48/6.05 (v116(constB25) <=> (~(v84(constB25, bitIndex2) | (~v84(constB25, bitIndex1)) | (~v84(constB25, bitIndex0))))),
% 8.48/6.05 inference(unit_resolution,[status(thm)],[12012, 1184])).
% 8.48/6.05 tff(12014,plain,
% 8.48/6.05 ((v84(constB25, bitIndex2) | (~v84(constB25, bitIndex1)) | (~v84(constB25, bitIndex0))) | (~v84(constB25, bitIndex2))),
% 8.48/6.05 inference(tautology,[status(thm)],[])).
% 8.48/6.05 tff(12015,plain,
% 8.48/6.05 (v84(constB25, bitIndex2) | (~v84(constB25, bitIndex1)) | (~v84(constB25, bitIndex0))),
% 8.48/6.05 inference(unit_resolution,[status(thm)],[12014, 11861])).
% 8.48/6.05 tff(12016,plain,
% 8.48/6.05 ((~(v116(constB25) <=> (~(v84(constB25, bitIndex2) | (~v84(constB25, bitIndex1)) | (~v84(constB25, bitIndex0)))))) | (~v116(constB25)) | (~(v84(constB25, bitIndex2) | (~v84(constB25, bitIndex1)) | (~v84(constB25, bitIndex0))))),
% 8.48/6.05 inference(tautology,[status(thm)],[])).
% 8.48/6.05 tff(12017,plain,
% 8.48/6.05 (~v116(constB25)),
% 8.48/6.05 inference(unit_resolution,[status(thm)],[12016, 12015, 12013])).
% 8.48/6.05 tff(12018,plain,
% 8.48/6.05 (((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB25) <=> (~(v84(constB25, bitIndex2) | (~v84(constB25, bitIndex1)) | v84(constB25, bitIndex0))))) <=> ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB25) <=> (~(v84(constB25, bitIndex2) | (~v84(constB25, bitIndex1)) | v84(constB25, bitIndex0)))))),
% 8.48/6.05 inference(rewrite,[status(thm)],[])).
% 8.48/6.05 tff(12019,plain,
% 8.48/6.05 ((v115(constB25) <=> (~(v84(constB25, bitIndex0) | v84(constB25, bitIndex2) | (~v84(constB25, bitIndex1))))) <=> (v115(constB25) <=> (~(v84(constB25, bitIndex2) | (~v84(constB25, bitIndex1)) | v84(constB25, bitIndex0))))),
% 8.48/6.05 inference(rewrite,[status(thm)],[])).
% 8.48/6.05 tff(12020,plain,
% 8.48/6.05 (((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB25) <=> (~(v84(constB25, bitIndex0) | v84(constB25, bitIndex2) | (~v84(constB25, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB25) <=> (~(v84(constB25, bitIndex2) | (~v84(constB25, bitIndex1)) | v84(constB25, bitIndex0)))))),
% 8.48/6.05 inference(monotonicity,[status(thm)],[12019])).
% 8.48/6.05 tff(12021,plain,
% 8.48/6.05 (((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB25) <=> (~(v84(constB25, bitIndex0) | v84(constB25, bitIndex2) | (~v84(constB25, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB25) <=> (~(v84(constB25, bitIndex2) | (~v84(constB25, bitIndex1)) | v84(constB25, bitIndex0)))))),
% 8.48/6.05 inference(transitivity,[status(thm)],[12020, 12018])).
% 8.48/6.05 tff(12022,plain,
% 8.48/6.05 ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB25) <=> (~(v84(constB25, bitIndex0) | v84(constB25, bitIndex2) | (~v84(constB25, bitIndex1)))))),
% 8.48/6.05 inference(quant_inst,[status(thm)],[])).
% 8.48/6.05 tff(12023,plain,
% 8.48/6.05 ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB25) <=> (~(v84(constB25, bitIndex2) | (~v84(constB25, bitIndex1)) | v84(constB25, bitIndex0))))),
% 8.48/6.05 inference(modus_ponens,[status(thm)],[12022, 12021])).
% 8.48/6.05 tff(12024,plain,
% 8.48/6.05 (v115(constB25) <=> (~(v84(constB25, bitIndex2) | (~v84(constB25, bitIndex1)) | v84(constB25, bitIndex0)))),
% 8.48/6.05 inference(unit_resolution,[status(thm)],[12023, 1294])).
% 8.48/6.05 tff(12025,plain,
% 8.48/6.05 ((v84(constB25, bitIndex2) | (~v84(constB25, bitIndex1)) | v84(constB25, bitIndex0)) | (~v84(constB25, bitIndex2))),
% 8.48/6.05 inference(tautology,[status(thm)],[])).
% 8.48/6.05 tff(12026,plain,
% 8.48/6.05 (v84(constB25, bitIndex2) | (~v84(constB25, bitIndex1)) | v84(constB25, bitIndex0)),
% 8.48/6.05 inference(unit_resolution,[status(thm)],[12025, 11861])).
% 8.48/6.05 tff(12027,plain,
% 8.48/6.05 ((~(v115(constB25) <=> (~(v84(constB25, bitIndex2) | (~v84(constB25, bitIndex1)) | v84(constB25, bitIndex0))))) | (~v115(constB25)) | (~(v84(constB25, bitIndex2) | (~v84(constB25, bitIndex1)) | v84(constB25, bitIndex0)))),
% 8.48/6.05 inference(tautology,[status(thm)],[])).
% 8.48/6.05 tff(12028,plain,
% 8.48/6.05 (~v115(constB25)),
% 8.48/6.05 inference(unit_resolution,[status(thm)],[12027, 12026, 12024])).
% 8.48/6.05 tff(12029,plain,
% 8.48/6.05 (((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB25) <=> (~(v84(constB25, bitIndex2) | v84(constB25, bitIndex1) | (~v84(constB25, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB25) <=> (~(v84(constB25, bitIndex2) | v84(constB25, bitIndex1) | (~v84(constB25, bitIndex0))))))),
% 8.48/6.05 inference(rewrite,[status(thm)],[])).
% 8.48/6.05 tff(12030,plain,
% 8.48/6.05 ((v114(constB25) <=> (~(v84(constB25, bitIndex1) | v84(constB25, bitIndex2) | (~v84(constB25, bitIndex0))))) <=> (v114(constB25) <=> (~(v84(constB25, bitIndex2) | v84(constB25, bitIndex1) | (~v84(constB25, bitIndex0)))))),
% 8.48/6.05 inference(rewrite,[status(thm)],[])).
% 8.48/6.05 tff(12031,plain,
% 8.48/6.05 (((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB25) <=> (~(v84(constB25, bitIndex1) | v84(constB25, bitIndex2) | (~v84(constB25, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB25) <=> (~(v84(constB25, bitIndex2) | v84(constB25, bitIndex1) | (~v84(constB25, bitIndex0))))))),
% 8.48/6.05 inference(monotonicity,[status(thm)],[12030])).
% 8.48/6.05 tff(12032,plain,
% 8.48/6.05 (((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB25) <=> (~(v84(constB25, bitIndex1) | v84(constB25, bitIndex2) | (~v84(constB25, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB25) <=> (~(v84(constB25, bitIndex2) | v84(constB25, bitIndex1) | (~v84(constB25, bitIndex0))))))),
% 8.48/6.05 inference(transitivity,[status(thm)],[12031, 12029])).
% 8.48/6.05 tff(12033,plain,
% 8.48/6.05 ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB25) <=> (~(v84(constB25, bitIndex1) | v84(constB25, bitIndex2) | (~v84(constB25, bitIndex0)))))),
% 8.48/6.05 inference(quant_inst,[status(thm)],[])).
% 8.48/6.05 tff(12034,plain,
% 8.48/6.05 ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB25) <=> (~(v84(constB25, bitIndex2) | v84(constB25, bitIndex1) | (~v84(constB25, bitIndex0)))))),
% 8.48/6.05 inference(modus_ponens,[status(thm)],[12033, 12032])).
% 8.48/6.05 tff(12035,plain,
% 8.48/6.05 (v114(constB25) <=> (~(v84(constB25, bitIndex2) | v84(constB25, bitIndex1) | (~v84(constB25, bitIndex0))))),
% 8.48/6.05 inference(unit_resolution,[status(thm)],[12034, 1411])).
% 8.48/6.05 tff(12036,plain,
% 8.48/6.05 ((v84(constB25, bitIndex2) | v84(constB25, bitIndex1) | (~v84(constB25, bitIndex0))) | (~v84(constB25, bitIndex2))),
% 8.48/6.05 inference(tautology,[status(thm)],[])).
% 8.48/6.05 tff(12037,plain,
% 8.48/6.05 (v84(constB25, bitIndex2) | v84(constB25, bitIndex1) | (~v84(constB25, bitIndex0))),
% 8.48/6.05 inference(unit_resolution,[status(thm)],[12036, 11861])).
% 8.48/6.05 tff(12038,plain,
% 8.48/6.05 ((~(v114(constB25) <=> (~(v84(constB25, bitIndex2) | v84(constB25, bitIndex1) | (~v84(constB25, bitIndex0)))))) | (~v114(constB25)) | (~(v84(constB25, bitIndex2) | v84(constB25, bitIndex1) | (~v84(constB25, bitIndex0))))),
% 8.48/6.05 inference(tautology,[status(thm)],[])).
% 8.48/6.05 tff(12039,plain,
% 8.48/6.05 (~v114(constB25)),
% 8.48/6.05 inference(unit_resolution,[status(thm)],[12038, 12037, 12035])).
% 8.48/6.05 tff(12040,plain,
% 8.48/6.05 (((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | (v113(constB25) | v114(constB25) | v115(constB25) | v116(constB25) | v117(constB25) | v118(constB25) | ![B: $i] : ((~less_3(B)) | (v124(constB25, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | v113(constB25) | v114(constB25) | v115(constB25) | v116(constB25) | v117(constB25) | v118(constB25) | ![B: $i] : ((~less_3(B)) | (v124(constB25, B) <=> b001(B))))),
% 8.48/6.05 inference(rewrite,[status(thm)],[])).
% 8.48/6.05 tff(12041,plain,
% 8.48/6.05 ((v118(constB25) | v117(constB25) | v116(constB25) | v115(constB25) | v114(constB25) | v113(constB25) | ![B: $i] : ((~less_3(B)) | (v124(constB25, B) <=> b001(B)))) <=> (v113(constB25) | v114(constB25) | v115(constB25) | v116(constB25) | v117(constB25) | v118(constB25) | ![B: $i] : ((~less_3(B)) | (v124(constB25, B) <=> b001(B))))),
% 8.48/6.05 inference(rewrite,[status(thm)],[])).
% 8.48/6.05 tff(12042,plain,
% 8.48/6.05 (((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | (v118(constB25) | v117(constB25) | v116(constB25) | v115(constB25) | v114(constB25) | v113(constB25) | ![B: $i] : ((~less_3(B)) | (v124(constB25, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | (v113(constB25) | v114(constB25) | v115(constB25) | v116(constB25) | v117(constB25) | v118(constB25) | ![B: $i] : ((~less_3(B)) | (v124(constB25, B) <=> b001(B)))))),
% 8.48/6.05 inference(monotonicity,[status(thm)],[12041])).
% 8.48/6.05 tff(12043,plain,
% 8.48/6.05 (((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | (v118(constB25) | v117(constB25) | v116(constB25) | v115(constB25) | v114(constB25) | v113(constB25) | ![B: $i] : ((~less_3(B)) | (v124(constB25, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | v113(constB25) | v114(constB25) | v115(constB25) | v116(constB25) | v117(constB25) | v118(constB25) | ![B: $i] : ((~less_3(B)) | (v124(constB25, B) <=> b001(B))))),
% 8.48/6.05 inference(transitivity,[status(thm)],[12042, 12040])).
% 8.48/6.05 tff(12044,plain,
% 8.48/6.05 ((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | (v118(constB25) | v117(constB25) | v116(constB25) | v115(constB25) | v114(constB25) | v113(constB25) | ![B: $i] : ((~less_3(B)) | (v124(constB25, B) <=> b001(B))))),
% 8.48/6.05 inference(quant_inst,[status(thm)],[])).
% 8.48/6.05 tff(12045,plain,
% 8.48/6.05 ((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | v113(constB25) | v114(constB25) | v115(constB25) | v116(constB25) | v117(constB25) | v118(constB25) | ![B: $i] : ((~less_3(B)) | (v124(constB25, B) <=> b001(B)))),
% 8.48/6.05 inference(modus_ponens,[status(thm)],[12044, 12043])).
% 8.48/6.05 tff(12046,plain,
% 8.48/6.05 (v113(constB25) | v114(constB25) | v115(constB25) | v116(constB25) | v117(constB25) | v118(constB25) | ![B: $i] : ((~less_3(B)) | (v124(constB25, B) <=> b001(B)))),
% 8.48/6.05 inference(unit_resolution,[status(thm)],[12045, 11068])).
% 8.48/6.05 tff(12047,plain,
% 8.48/6.05 (![B: $i] : ((~less_3(B)) | (v124(constB25, B) <=> b001(B)))),
% 8.48/6.05 inference(unit_resolution,[status(thm)],[12046, 12039, 12028, 12017, 12011, 12000, 11989])).
% 8.48/6.05 tff(12048,plain,
% 8.48/6.05 (((~![B: $i] : ((~less_3(B)) | (v124(constB25, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v124(constB25, bitIndex2) <=> b001(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB25, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v124(constB25, bitIndex2) <=> b001(bitIndex2)))),
% 8.48/6.05 inference(rewrite,[status(thm)],[])).
% 8.48/6.05 tff(12049,plain,
% 8.48/6.05 ((~![B: $i] : ((~less_3(B)) | (v124(constB25, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v124(constB25, bitIndex2) <=> b001(bitIndex2)))),
% 8.48/6.05 inference(quant_inst,[status(thm)],[])).
% 8.48/6.05 tff(12050,plain,
% 8.48/6.05 ((~![B: $i] : ((~less_3(B)) | (v124(constB25, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v124(constB25, bitIndex2) <=> b001(bitIndex2))),
% 8.48/6.05 inference(modus_ponens,[status(thm)],[12049, 12048])).
% 8.48/6.05 tff(12051,plain,
% 8.48/6.05 (v124(constB25, bitIndex2) <=> b001(bitIndex2)),
% 8.48/6.05 inference(unit_resolution,[status(thm)],[12050, 832, 12047])).
% 8.48/6.05 tff(12052,plain,
% 8.48/6.05 ((~(v124(constB25, bitIndex2) <=> b001(bitIndex2))) | (~v124(constB25, bitIndex2)) | b001(bitIndex2)),
% 8.48/6.05 inference(tautology,[status(thm)],[])).
% 8.48/6.05 tff(12053,plain,
% 8.48/6.05 ((~(v124(constB25, bitIndex2) <=> b001(bitIndex2))) | (~v124(constB25, bitIndex2))),
% 8.48/6.05 inference(unit_resolution,[status(thm)],[12052, 9977])).
% 8.48/6.05 tff(12054,plain,
% 8.48/6.05 (~v124(constB25, bitIndex2)),
% 8.48/6.05 inference(unit_resolution,[status(thm)],[12053, 12051])).
% 8.48/6.05 tff(12055,plain,
% 8.48/6.05 ((~(v121(constB25, bitIndex2) <=> v124(constB25, bitIndex2))) | (~v121(constB25, bitIndex2)) | v124(constB25, bitIndex2)),
% 8.48/6.05 inference(tautology,[status(thm)],[])).
% 8.48/6.05 tff(12056,plain,
% 8.48/6.05 (~v121(constB25, bitIndex2)),
% 8.48/6.05 inference(unit_resolution,[status(thm)],[12055, 12054, 11983])).
% 8.48/6.05 tff(12057,plain,
% 8.48/6.05 ((~(v123(constB26, bitIndex2) <=> v121(constB25, bitIndex2))) | (~v123(constB26, bitIndex2)) | v121(constB25, bitIndex2)),
% 8.48/6.05 inference(tautology,[status(thm)],[])).
% 8.48/6.05 tff(12058,plain,
% 8.48/6.05 (~v123(constB26, bitIndex2)),
% 8.48/6.05 inference(unit_resolution,[status(thm)],[12057, 12056, 11975])).
% 8.48/6.05 tff(12059,plain,
% 8.48/6.05 ((~(v84(constB26, bitIndex2) <=> v123(constB26, bitIndex2))) | (~v84(constB26, bitIndex2)) | v123(constB26, bitIndex2)),
% 8.48/6.05 inference(tautology,[status(thm)],[])).
% 8.48/6.05 tff(12060,plain,
% 8.48/6.05 (~v84(constB26, bitIndex2)),
% 8.48/6.05 inference(unit_resolution,[status(thm)],[12059, 12058, 11967])).
% 8.48/6.05 tff(12061,plain,
% 8.48/6.05 ((~(v84(constB27, bitIndex2) <=> v84(constB26, bitIndex2))) | (~v84(constB27, bitIndex2)) | v84(constB26, bitIndex2)),
% 8.48/6.05 inference(tautology,[status(thm)],[])).
% 8.48/6.05 tff(12062,plain,
% 8.48/6.05 (~v84(constB27, bitIndex2)),
% 8.48/6.05 inference(unit_resolution,[status(thm)],[12061, 12060, 8574])).
% 8.48/6.05 tff(12063,plain,
% 8.48/6.05 (((~![B: $i] : ((~less_3(B)) | (v84(constB27, B) <=> v84(constB26, B)))) | ((~less_3(bitIndex0)) | (v84(constB27, bitIndex0) <=> v84(constB26, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB27, B) <=> v84(constB26, B)))) | (~less_3(bitIndex0)) | (v84(constB27, bitIndex0) <=> v84(constB26, bitIndex0)))),
% 8.48/6.05 inference(rewrite,[status(thm)],[])).
% 8.48/6.05 tff(12064,plain,
% 8.48/6.05 ((~![B: $i] : ((~less_3(B)) | (v84(constB27, B) <=> v84(constB26, B)))) | ((~less_3(bitIndex0)) | (v84(constB27, bitIndex0) <=> v84(constB26, bitIndex0)))),
% 8.48/6.05 inference(quant_inst,[status(thm)],[])).
% 8.48/6.05 tff(12065,plain,
% 8.48/6.05 ((~![B: $i] : ((~less_3(B)) | (v84(constB27, B) <=> v84(constB26, B)))) | (~less_3(bitIndex0)) | (v84(constB27, bitIndex0) <=> v84(constB26, bitIndex0))),
% 8.48/6.05 inference(modus_ponens,[status(thm)],[12064, 12063])).
% 8.48/6.05 tff(12066,plain,
% 8.48/6.05 (v84(constB27, bitIndex0) <=> v84(constB26, bitIndex0)),
% 8.48/6.05 inference(unit_resolution,[status(thm)],[12065, 9772, 8570])).
% 8.48/6.05 tff(12067,plain,
% 8.48/6.05 (((~![B: $i] : ((~less_3(B)) | (v84(constB26, B) <=> v123(constB26, B)))) | ((~less_3(bitIndex0)) | (v84(constB26, bitIndex0) <=> v123(constB26, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB26, B) <=> v123(constB26, B)))) | (~less_3(bitIndex0)) | (v84(constB26, bitIndex0) <=> v123(constB26, bitIndex0)))),
% 8.48/6.05 inference(rewrite,[status(thm)],[])).
% 8.48/6.05 tff(12068,plain,
% 8.48/6.05 ((~![B: $i] : ((~less_3(B)) | (v84(constB26, B) <=> v123(constB26, B)))) | ((~less_3(bitIndex0)) | (v84(constB26, bitIndex0) <=> v123(constB26, bitIndex0)))),
% 8.48/6.05 inference(quant_inst,[status(thm)],[])).
% 8.48/6.05 tff(12069,plain,
% 8.48/6.05 ((~![B: $i] : ((~less_3(B)) | (v84(constB26, B) <=> v123(constB26, B)))) | (~less_3(bitIndex0)) | (v84(constB26, bitIndex0) <=> v123(constB26, bitIndex0))),
% 8.48/6.05 inference(modus_ponens,[status(thm)],[12068, 12067])).
% 8.48/6.05 tff(12070,plain,
% 8.48/6.05 (v84(constB26, bitIndex0) <=> v123(constB26, bitIndex0)),
% 8.48/6.05 inference(unit_resolution,[status(thm)],[12069, 9772, 11963])).
% 8.48/6.05 tff(12071,plain,
% 8.48/6.05 (((~![B: $i] : ((~less_3(B)) | (v123(constB26, B) <=> v121(constB25, B)))) | ((~less_3(bitIndex0)) | (v123(constB26, bitIndex0) <=> v121(constB25, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB26, B) <=> v121(constB25, B)))) | (~less_3(bitIndex0)) | (v123(constB26, bitIndex0) <=> v121(constB25, bitIndex0)))),
% 8.48/6.05 inference(rewrite,[status(thm)],[])).
% 8.48/6.05 tff(12072,plain,
% 8.48/6.05 ((~![B: $i] : ((~less_3(B)) | (v123(constB26, B) <=> v121(constB25, B)))) | ((~less_3(bitIndex0)) | (v123(constB26, bitIndex0) <=> v121(constB25, bitIndex0)))),
% 8.48/6.05 inference(quant_inst,[status(thm)],[])).
% 8.48/6.05 tff(12073,plain,
% 8.48/6.05 ((~![B: $i] : ((~less_3(B)) | (v123(constB26, B) <=> v121(constB25, B)))) | (~less_3(bitIndex0)) | (v123(constB26, bitIndex0) <=> v121(constB25, bitIndex0))),
% 8.48/6.05 inference(modus_ponens,[status(thm)],[12072, 12071])).
% 8.48/6.05 tff(12074,plain,
% 8.48/6.05 (v123(constB26, bitIndex0) <=> v121(constB25, bitIndex0)),
% 8.48/6.05 inference(unit_resolution,[status(thm)],[12073, 9772, 11971])).
% 8.48/6.05 tff(12075,plain,
% 8.48/6.05 (((~![B: $i] : ((~less_3(B)) | (v121(constB25, B) <=> v124(constB25, B)))) | ((~less_3(bitIndex0)) | (v121(constB25, bitIndex0) <=> v124(constB25, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB25, B) <=> v124(constB25, B)))) | (~less_3(bitIndex0)) | (v121(constB25, bitIndex0) <=> v124(constB25, bitIndex0)))),
% 8.48/6.05 inference(rewrite,[status(thm)],[])).
% 8.48/6.05 tff(12076,plain,
% 8.48/6.05 ((~![B: $i] : ((~less_3(B)) | (v121(constB25, B) <=> v124(constB25, B)))) | ((~less_3(bitIndex0)) | (v121(constB25, bitIndex0) <=> v124(constB25, bitIndex0)))),
% 8.48/6.05 inference(quant_inst,[status(thm)],[])).
% 8.48/6.05 tff(12077,plain,
% 8.48/6.05 ((~![B: $i] : ((~less_3(B)) | (v121(constB25, B) <=> v124(constB25, B)))) | (~less_3(bitIndex0)) | (v121(constB25, bitIndex0) <=> v124(constB25, bitIndex0))),
% 8.48/6.05 inference(modus_ponens,[status(thm)],[12076, 12075])).
% 8.48/6.05 tff(12078,plain,
% 8.48/6.05 (v121(constB25, bitIndex0) <=> v124(constB25, bitIndex0)),
% 8.48/6.05 inference(unit_resolution,[status(thm)],[12077, 9772, 11979])).
% 8.48/6.05 tff(12079,plain,
% 8.48/6.05 (((~![B: $i] : ((~less_3(B)) | (v124(constB25, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v124(constB25, bitIndex0) <=> b001(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB25, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v124(constB25, bitIndex0) <=> b001(bitIndex0)))),
% 8.48/6.05 inference(rewrite,[status(thm)],[])).
% 8.48/6.05 tff(12080,plain,
% 8.48/6.05 ((~![B: $i] : ((~less_3(B)) | (v124(constB25, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v124(constB25, bitIndex0) <=> b001(bitIndex0)))),
% 8.48/6.05 inference(quant_inst,[status(thm)],[])).
% 8.48/6.05 tff(12081,plain,
% 8.48/6.05 ((~![B: $i] : ((~less_3(B)) | (v124(constB25, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v124(constB25, bitIndex0) <=> b001(bitIndex0))),
% 8.48/6.05 inference(modus_ponens,[status(thm)],[12080, 12079])).
% 8.48/6.05 tff(12082,plain,
% 8.48/6.05 (v124(constB25, bitIndex0) <=> b001(bitIndex0)),
% 8.48/6.05 inference(unit_resolution,[status(thm)],[12081, 9772, 12047])).
% 8.48/6.05 tff(12083,plain,
% 8.48/6.05 ((~(v124(constB25, bitIndex0) <=> b001(bitIndex0))) | v124(constB25, bitIndex0) | (~b001(bitIndex0))),
% 8.48/6.05 inference(tautology,[status(thm)],[])).
% 8.48/6.05 tff(12084,plain,
% 8.48/6.05 ((~(v124(constB25, bitIndex0) <=> b001(bitIndex0))) | v124(constB25, bitIndex0)),
% 8.48/6.05 inference(unit_resolution,[status(thm)],[12083, 10011])).
% 8.48/6.05 tff(12085,plain,
% 8.48/6.05 (v124(constB25, bitIndex0)),
% 8.48/6.05 inference(unit_resolution,[status(thm)],[12084, 12082])).
% 8.48/6.05 tff(12086,plain,
% 8.48/6.05 ((~(v121(constB25, bitIndex0) <=> v124(constB25, bitIndex0))) | v121(constB25, bitIndex0) | (~v124(constB25, bitIndex0))),
% 8.48/6.05 inference(tautology,[status(thm)],[])).
% 8.48/6.05 tff(12087,plain,
% 8.48/6.05 (v121(constB25, bitIndex0)),
% 8.48/6.05 inference(unit_resolution,[status(thm)],[12086, 12085, 12078])).
% 8.48/6.05 tff(12088,plain,
% 8.48/6.05 ((~(v123(constB26, bitIndex0) <=> v121(constB25, bitIndex0))) | v123(constB26, bitIndex0) | (~v121(constB25, bitIndex0))),
% 8.48/6.05 inference(tautology,[status(thm)],[])).
% 8.48/6.05 tff(12089,plain,
% 8.48/6.05 (v123(constB26, bitIndex0)),
% 8.48/6.05 inference(unit_resolution,[status(thm)],[12088, 12087, 12074])).
% 8.48/6.05 tff(12090,plain,
% 8.48/6.05 ((~(v84(constB26, bitIndex0) <=> v123(constB26, bitIndex0))) | v84(constB26, bitIndex0) | (~v123(constB26, bitIndex0))),
% 8.48/6.05 inference(tautology,[status(thm)],[])).
% 8.48/6.05 tff(12091,plain,
% 8.48/6.05 (v84(constB26, bitIndex0)),
% 8.48/6.05 inference(unit_resolution,[status(thm)],[12090, 12089, 12070])).
% 8.48/6.05 tff(12092,plain,
% 8.48/6.05 ((~(v84(constB27, bitIndex0) <=> v84(constB26, bitIndex0))) | v84(constB27, bitIndex0) | (~v84(constB26, bitIndex0))),
% 8.48/6.05 inference(tautology,[status(thm)],[])).
% 8.48/6.05 tff(12093,plain,
% 8.48/6.05 (v84(constB27, bitIndex0)),
% 8.48/6.05 inference(unit_resolution,[status(thm)],[12092, 12091, 12066])).
% 8.48/6.05 tff(12094,plain,
% 8.48/6.05 (((~![B: $i] : ((~less_3(B)) | (v84(constB27, B) <=> v84(constB26, B)))) | ((~less_3(bitIndex1)) | (v84(constB27, bitIndex1) <=> v84(constB26, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB27, B) <=> v84(constB26, B)))) | (~less_3(bitIndex1)) | (v84(constB27, bitIndex1) <=> v84(constB26, bitIndex1)))),
% 8.48/6.05 inference(rewrite,[status(thm)],[])).
% 8.48/6.05 tff(12095,plain,
% 8.48/6.05 ((~![B: $i] : ((~less_3(B)) | (v84(constB27, B) <=> v84(constB26, B)))) | ((~less_3(bitIndex1)) | (v84(constB27, bitIndex1) <=> v84(constB26, bitIndex1)))),
% 8.48/6.05 inference(quant_inst,[status(thm)],[])).
% 8.48/6.05 tff(12096,plain,
% 8.48/6.05 ((~![B: $i] : ((~less_3(B)) | (v84(constB27, B) <=> v84(constB26, B)))) | (~less_3(bitIndex1)) | (v84(constB27, bitIndex1) <=> v84(constB26, bitIndex1))),
% 8.48/6.05 inference(modus_ponens,[status(thm)],[12095, 12094])).
% 8.48/6.05 tff(12097,plain,
% 8.48/6.05 (v84(constB27, bitIndex1) <=> v84(constB26, bitIndex1)),
% 8.48/6.05 inference(unit_resolution,[status(thm)],[12096, 9785, 8570])).
% 8.48/6.05 tff(12098,plain,
% 8.48/6.05 (((~![B: $i] : ((~less_3(B)) | (v84(constB26, B) <=> v123(constB26, B)))) | ((~less_3(bitIndex1)) | (v84(constB26, bitIndex1) <=> v123(constB26, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB26, B) <=> v123(constB26, B)))) | (~less_3(bitIndex1)) | (v84(constB26, bitIndex1) <=> v123(constB26, bitIndex1)))),
% 8.48/6.05 inference(rewrite,[status(thm)],[])).
% 8.48/6.05 tff(12099,plain,
% 8.48/6.05 ((~![B: $i] : ((~less_3(B)) | (v84(constB26, B) <=> v123(constB26, B)))) | ((~less_3(bitIndex1)) | (v84(constB26, bitIndex1) <=> v123(constB26, bitIndex1)))),
% 8.48/6.05 inference(quant_inst,[status(thm)],[])).
% 8.48/6.05 tff(12100,plain,
% 8.48/6.05 ((~![B: $i] : ((~less_3(B)) | (v84(constB26, B) <=> v123(constB26, B)))) | (~less_3(bitIndex1)) | (v84(constB26, bitIndex1) <=> v123(constB26, bitIndex1))),
% 8.48/6.05 inference(modus_ponens,[status(thm)],[12099, 12098])).
% 8.48/6.05 tff(12101,plain,
% 8.48/6.05 (v84(constB26, bitIndex1) <=> v123(constB26, bitIndex1)),
% 8.48/6.05 inference(unit_resolution,[status(thm)],[12100, 9785, 11963])).
% 8.48/6.05 tff(12102,plain,
% 8.48/6.05 (((~![B: $i] : ((~less_3(B)) | (v123(constB26, B) <=> v121(constB25, B)))) | ((~less_3(bitIndex1)) | (v123(constB26, bitIndex1) <=> v121(constB25, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB26, B) <=> v121(constB25, B)))) | (~less_3(bitIndex1)) | (v123(constB26, bitIndex1) <=> v121(constB25, bitIndex1)))),
% 8.48/6.05 inference(rewrite,[status(thm)],[])).
% 8.48/6.05 tff(12103,plain,
% 8.48/6.05 ((~![B: $i] : ((~less_3(B)) | (v123(constB26, B) <=> v121(constB25, B)))) | ((~less_3(bitIndex1)) | (v123(constB26, bitIndex1) <=> v121(constB25, bitIndex1)))),
% 8.48/6.05 inference(quant_inst,[status(thm)],[])).
% 8.48/6.05 tff(12104,plain,
% 8.48/6.05 ((~![B: $i] : ((~less_3(B)) | (v123(constB26, B) <=> v121(constB25, B)))) | (~less_3(bitIndex1)) | (v123(constB26, bitIndex1) <=> v121(constB25, bitIndex1))),
% 8.48/6.05 inference(modus_ponens,[status(thm)],[12103, 12102])).
% 8.48/6.05 tff(12105,plain,
% 8.48/6.05 (v123(constB26, bitIndex1) <=> v121(constB25, bitIndex1)),
% 8.48/6.05 inference(unit_resolution,[status(thm)],[12104, 9785, 11971])).
% 8.48/6.05 tff(12106,plain,
% 8.48/6.05 (((~![B: $i] : ((~less_3(B)) | (v121(constB25, B) <=> v124(constB25, B)))) | ((~less_3(bitIndex1)) | (v121(constB25, bitIndex1) <=> v124(constB25, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB25, B) <=> v124(constB25, B)))) | (~less_3(bitIndex1)) | (v121(constB25, bitIndex1) <=> v124(constB25, bitIndex1)))),
% 8.48/6.05 inference(rewrite,[status(thm)],[])).
% 8.48/6.05 tff(12107,plain,
% 8.48/6.06 ((~![B: $i] : ((~less_3(B)) | (v121(constB25, B) <=> v124(constB25, B)))) | ((~less_3(bitIndex1)) | (v121(constB25, bitIndex1) <=> v124(constB25, bitIndex1)))),
% 8.48/6.06 inference(quant_inst,[status(thm)],[])).
% 8.48/6.06 tff(12108,plain,
% 8.48/6.06 ((~![B: $i] : ((~less_3(B)) | (v121(constB25, B) <=> v124(constB25, B)))) | (~less_3(bitIndex1)) | (v121(constB25, bitIndex1) <=> v124(constB25, bitIndex1))),
% 8.48/6.06 inference(modus_ponens,[status(thm)],[12107, 12106])).
% 8.48/6.06 tff(12109,plain,
% 8.48/6.06 (v121(constB25, bitIndex1) <=> v124(constB25, bitIndex1)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[12108, 9785, 11979])).
% 8.48/6.06 tff(12110,plain,
% 8.48/6.06 (((~![B: $i] : ((~less_3(B)) | (v124(constB25, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v124(constB25, bitIndex1) <=> b001(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB25, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v124(constB25, bitIndex1) <=> b001(bitIndex1)))),
% 8.48/6.06 inference(rewrite,[status(thm)],[])).
% 8.48/6.06 tff(12111,plain,
% 8.48/6.06 ((~![B: $i] : ((~less_3(B)) | (v124(constB25, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v124(constB25, bitIndex1) <=> b001(bitIndex1)))),
% 8.48/6.06 inference(quant_inst,[status(thm)],[])).
% 8.48/6.06 tff(12112,plain,
% 8.48/6.06 ((~![B: $i] : ((~less_3(B)) | (v124(constB25, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v124(constB25, bitIndex1) <=> b001(bitIndex1))),
% 8.48/6.06 inference(modus_ponens,[status(thm)],[12111, 12110])).
% 8.48/6.06 tff(12113,plain,
% 8.48/6.06 (v124(constB25, bitIndex1) <=> b001(bitIndex1)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[12112, 9785, 12047])).
% 8.48/6.06 tff(12114,plain,
% 8.48/6.06 ((~(v124(constB25, bitIndex1) <=> b001(bitIndex1))) | (~v124(constB25, bitIndex1)) | b001(bitIndex1)),
% 8.48/6.06 inference(tautology,[status(thm)],[])).
% 8.48/6.06 tff(12115,plain,
% 8.48/6.06 ((~(v124(constB25, bitIndex1) <=> b001(bitIndex1))) | (~v124(constB25, bitIndex1))),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[12114, 10045])).
% 8.48/6.06 tff(12116,plain,
% 8.48/6.06 (~v124(constB25, bitIndex1)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[12115, 12113])).
% 8.48/6.06 tff(12117,plain,
% 8.48/6.06 ((~(v121(constB25, bitIndex1) <=> v124(constB25, bitIndex1))) | (~v121(constB25, bitIndex1)) | v124(constB25, bitIndex1)),
% 8.48/6.06 inference(tautology,[status(thm)],[])).
% 8.48/6.06 tff(12118,plain,
% 8.48/6.06 (~v121(constB25, bitIndex1)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[12117, 12116, 12109])).
% 8.48/6.06 tff(12119,plain,
% 8.48/6.06 ((~(v123(constB26, bitIndex1) <=> v121(constB25, bitIndex1))) | (~v123(constB26, bitIndex1)) | v121(constB25, bitIndex1)),
% 8.48/6.06 inference(tautology,[status(thm)],[])).
% 8.48/6.06 tff(12120,plain,
% 8.48/6.06 (~v123(constB26, bitIndex1)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[12119, 12118, 12105])).
% 8.48/6.06 tff(12121,plain,
% 8.48/6.06 ((~(v84(constB26, bitIndex1) <=> v123(constB26, bitIndex1))) | (~v84(constB26, bitIndex1)) | v123(constB26, bitIndex1)),
% 8.48/6.06 inference(tautology,[status(thm)],[])).
% 8.48/6.06 tff(12122,plain,
% 8.48/6.06 (~v84(constB26, bitIndex1)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[12121, 12120, 12101])).
% 8.48/6.06 tff(12123,plain,
% 8.48/6.06 ((~(v84(constB27, bitIndex1) <=> v84(constB26, bitIndex1))) | (~v84(constB27, bitIndex1)) | v84(constB26, bitIndex1)),
% 8.48/6.06 inference(tautology,[status(thm)],[])).
% 8.48/6.06 tff(12124,plain,
% 8.48/6.06 (~v84(constB27, bitIndex1)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[12123, 12122, 12097])).
% 8.48/6.06 tff(12125,plain,
% 8.48/6.06 ((~(v84(constB27, bitIndex2) | v84(constB27, bitIndex1) | (~v84(constB27, bitIndex0)))) | v84(constB27, bitIndex2) | v84(constB27, bitIndex1) | (~v84(constB27, bitIndex0))),
% 8.48/6.06 inference(tautology,[status(thm)],[])).
% 8.48/6.06 tff(12126,plain,
% 8.48/6.06 (~(v84(constB27, bitIndex2) | v84(constB27, bitIndex1) | (~v84(constB27, bitIndex0)))),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[12125, 12124, 12093, 12062])).
% 8.48/6.06 tff(12127,plain,
% 8.48/6.06 ((~(v114(constB27) <=> (~(v84(constB27, bitIndex2) | v84(constB27, bitIndex1) | (~v84(constB27, bitIndex0)))))) | v114(constB27) | (v84(constB27, bitIndex2) | v84(constB27, bitIndex1) | (~v84(constB27, bitIndex0)))),
% 8.48/6.06 inference(tautology,[status(thm)],[])).
% 8.48/6.06 tff(12128,plain,
% 8.48/6.06 (v114(constB27)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[12127, 12126, 8542])).
% 8.48/6.06 tff(12129,plain,
% 8.48/6.06 ((v113(constB27) | v114(constB27)) | (~v114(constB27))),
% 8.48/6.06 inference(tautology,[status(thm)],[])).
% 8.48/6.06 tff(12130,plain,
% 8.48/6.06 (v113(constB27) | v114(constB27)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[12129, 12128])).
% 8.48/6.06 tff(12131,plain,
% 8.48/6.06 ((~(v112(constB27) <=> (v113(constB27) | v114(constB27)))) | v112(constB27) | (~(v113(constB27) | v114(constB27)))),
% 8.48/6.06 inference(tautology,[status(thm)],[])).
% 8.48/6.06 tff(12132,plain,
% 8.48/6.06 (v112(constB27)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[12131, 12130, 8535])).
% 8.48/6.06 tff(12133,plain,
% 8.48/6.06 ((v112(constB27) | v115(constB27)) | (~v112(constB27))),
% 8.48/6.06 inference(tautology,[status(thm)],[])).
% 8.48/6.06 tff(12134,plain,
% 8.48/6.06 (v112(constB27) | v115(constB27)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[12133, 12132])).
% 8.48/6.06 tff(12135,plain,
% 8.48/6.06 ((~(v111(constB27) <=> (v112(constB27) | v115(constB27)))) | v111(constB27) | (~(v112(constB27) | v115(constB27)))),
% 8.48/6.06 inference(tautology,[status(thm)],[])).
% 8.48/6.06 tff(12136,plain,
% 8.48/6.06 (v111(constB27)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[12135, 12134, 8533])).
% 8.48/6.06 tff(12137,plain,
% 8.48/6.06 ((v111(constB27) | v116(constB27)) | (~v111(constB27))),
% 8.48/6.06 inference(tautology,[status(thm)],[])).
% 8.48/6.06 tff(12138,plain,
% 8.48/6.06 (v111(constB27) | v116(constB27)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[12137, 12136])).
% 8.48/6.06 tff(12139,plain,
% 8.48/6.06 ((~(v110(constB27) <=> (v111(constB27) | v116(constB27)))) | v110(constB27) | (~(v111(constB27) | v116(constB27)))),
% 8.48/6.06 inference(tautology,[status(thm)],[])).
% 8.48/6.06 tff(12140,plain,
% 8.48/6.06 (v110(constB27)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[12139, 12138, 8531])).
% 8.48/6.06 tff(12141,plain,
% 8.48/6.06 ((v110(constB27) | v117(constB27)) | (~v110(constB27))),
% 8.48/6.06 inference(tautology,[status(thm)],[])).
% 8.48/6.06 tff(12142,plain,
% 8.48/6.06 (v110(constB27) | v117(constB27)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[12141, 12140])).
% 8.48/6.06 tff(12143,plain,
% 8.48/6.06 ((~(v109(constB27) <=> (v110(constB27) | v117(constB27)))) | v109(constB27) | (~(v110(constB27) | v117(constB27)))),
% 8.48/6.06 inference(tautology,[status(thm)],[])).
% 8.48/6.06 tff(12144,plain,
% 8.48/6.06 (v109(constB27)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[12143, 12142, 8529])).
% 8.48/6.06 tff(12145,plain,
% 8.48/6.06 ((v109(constB27) | v118(constB27)) | (~v109(constB27))),
% 8.48/6.06 inference(tautology,[status(thm)],[])).
% 8.48/6.06 tff(12146,plain,
% 8.48/6.06 (v109(constB27) | v118(constB27)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[12145, 12144])).
% 8.48/6.06 tff(12147,plain,
% 8.48/6.06 ((~(v108(constB27) <=> (v109(constB27) | v118(constB27)))) | v108(constB27) | (~(v109(constB27) | v118(constB27)))),
% 8.48/6.06 inference(tautology,[status(thm)],[])).
% 8.48/6.06 tff(12148,plain,
% 8.48/6.06 (v108(constB27)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[12147, 12146, 8527])).
% 8.48/6.06 tff(12149,plain,
% 8.48/6.06 ((v108(constB27) | v119(constB27)) | (~v108(constB27))),
% 8.48/6.06 inference(tautology,[status(thm)],[])).
% 8.48/6.06 tff(12150,plain,
% 8.48/6.06 (v108(constB27) | v119(constB27)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[12149, 12148])).
% 8.48/6.06 tff(12151,plain,
% 8.48/6.06 ((~(v107(constB27) <=> (v108(constB27) | v119(constB27)))) | v107(constB27) | (~(v108(constB27) | v119(constB27)))),
% 8.48/6.06 inference(tautology,[status(thm)],[])).
% 8.48/6.06 tff(12152,plain,
% 8.48/6.06 (v107(constB27)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[12151, 12150, 8525])).
% 8.48/6.06 tff(12153,plain,
% 8.48/6.06 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB27)) <=> v105(constB27))),
% 8.48/6.06 inference(quant_inst,[status(thm)],[])).
% 8.48/6.06 tff(12154,plain,
% 8.48/6.06 ((~v120(constB27)) <=> v105(constB27)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[12153, 9842])).
% 8.48/6.06 tff(12155,plain,
% 8.48/6.06 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB27) <=> v26(constB27))),
% 8.48/6.06 inference(quant_inst,[status(thm)],[])).
% 8.48/6.06 tff(12156,plain,
% 8.48/6.06 (v105(constB27) <=> v26(constB27)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[12155, 9854])).
% 8.48/6.06 tff(12157,plain,
% 8.48/6.06 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB27))),
% 8.48/6.06 inference(quant_inst,[status(thm)],[])).
% 8.48/6.06 tff(12158,plain,
% 8.48/6.06 (~v26(constB27)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[12157, 9866])).
% 8.48/6.06 tff(12159,plain,
% 8.48/6.06 ((~(v105(constB27) <=> v26(constB27))) | (~v105(constB27)) | v26(constB27)),
% 8.48/6.06 inference(tautology,[status(thm)],[])).
% 8.48/6.06 tff(12160,plain,
% 8.48/6.06 ((~(v105(constB27) <=> v26(constB27))) | (~v105(constB27))),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[12159, 12158])).
% 8.48/6.06 tff(12161,plain,
% 8.48/6.06 (~v105(constB27)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[12160, 12156])).
% 8.48/6.06 tff(12162,plain,
% 8.48/6.06 ((~((~v120(constB27)) <=> v105(constB27))) | v120(constB27) | v105(constB27)),
% 8.48/6.06 inference(tautology,[status(thm)],[])).
% 8.48/6.06 tff(12163,plain,
% 8.48/6.06 ((~((~v120(constB27)) <=> v105(constB27))) | v120(constB27)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[12162, 12161])).
% 8.48/6.06 tff(12164,plain,
% 8.48/6.06 (v120(constB27)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[12163, 12154])).
% 8.48/6.06 tff(12165,plain,
% 8.48/6.06 ((~((~v107(constB27)) | (~v120(constB27)))) | (~v107(constB27)) | (~v120(constB27))),
% 8.48/6.06 inference(tautology,[status(thm)],[])).
% 8.48/6.06 tff(12166,plain,
% 8.48/6.06 ((~((~v107(constB27)) | (~v120(constB27)))) | (~v107(constB27))),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[12165, 12164])).
% 8.48/6.06 tff(12167,plain,
% 8.48/6.06 (~((~v107(constB27)) | (~v120(constB27)))),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[12166, 12152])).
% 8.48/6.06 tff(12168,plain,
% 8.48/6.06 ((~(v106(constB27) <=> (~((~v107(constB27)) | (~v120(constB27)))))) | v106(constB27) | ((~v107(constB27)) | (~v120(constB27)))),
% 8.48/6.06 inference(tautology,[status(thm)],[])).
% 8.48/6.06 tff(12169,plain,
% 8.48/6.06 (v106(constB27)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[12168, 12167, 8523])).
% 8.48/6.06 tff(12170,plain,
% 8.48/6.06 ((v105(constB27) | v106(constB27)) | (~v106(constB27))),
% 8.48/6.06 inference(tautology,[status(thm)],[])).
% 8.48/6.06 tff(12171,plain,
% 8.48/6.06 (v105(constB27) | v106(constB27)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[12170, 12169])).
% 8.48/6.06 tff(12172,plain,
% 8.48/6.06 ((~(v102(constB27) <=> (v105(constB27) | v106(constB27)))) | v102(constB27) | (~(v105(constB27) | v106(constB27)))),
% 8.48/6.06 inference(tautology,[status(thm)],[])).
% 8.48/6.06 tff(12173,plain,
% 8.48/6.06 (v102(constB27)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[12172, 12171, 8521])).
% 8.48/6.06 tff(12174,plain,
% 8.48/6.06 ((~(v104(constB28) <=> v102(constB27))) | v104(constB28) | (~v102(constB27))),
% 8.48/6.06 inference(tautology,[status(thm)],[])).
% 8.48/6.06 tff(12175,plain,
% 8.48/6.06 (v104(constB28)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[12174, 12173, 8519])).
% 8.48/6.06 tff(12176,plain,
% 8.48/6.06 ((~((~v104(constB28)) | (~v95(constB28)))) | (~v104(constB28)) | (~v95(constB28))),
% 8.48/6.06 inference(tautology,[status(thm)],[])).
% 8.48/6.06 tff(12177,plain,
% 8.48/6.06 (~((~v104(constB28)) | (~v95(constB28)))),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[12176, 12175, 8515])).
% 8.48/6.06 tff(12178,plain,
% 8.48/6.06 ((~(v94(constB28) <=> (~((~v104(constB28)) | (~v95(constB28)))))) | v94(constB28) | ((~v104(constB28)) | (~v95(constB28)))),
% 8.48/6.06 inference(tautology,[status(thm)],[])).
% 8.48/6.06 tff(12179,plain,
% 8.48/6.06 (v94(constB28)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[12178, 12177, 8484])).
% 8.48/6.06 tff(12180,plain,
% 8.48/6.06 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB28)) | ![B: $i] : ((~less_3(B)) | (v84(constB28, B) <=> v123(constB28, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB28)) | ![B: $i] : ((~less_3(B)) | (v84(constB28, B) <=> v123(constB28, B))))),
% 8.48/6.06 inference(rewrite,[status(thm)],[])).
% 8.48/6.06 tff(12181,plain,
% 8.48/6.06 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB28)) | ![B: $i] : ((~less_3(B)) | (v84(constB28, B) <=> v123(constB28, B))))),
% 8.48/6.06 inference(quant_inst,[status(thm)],[])).
% 8.48/6.06 tff(12182,plain,
% 8.48/6.06 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB28)) | ![B: $i] : ((~less_3(B)) | (v84(constB28, B) <=> v123(constB28, B)))),
% 8.48/6.06 inference(modus_ponens,[status(thm)],[12181, 12180])).
% 8.48/6.06 tff(12183,plain,
% 8.48/6.06 ((~v94(constB28)) | ![B: $i] : ((~less_3(B)) | (v84(constB28, B) <=> v123(constB28, B)))),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[12182, 9902])).
% 8.48/6.06 tff(12184,plain,
% 8.48/6.06 (![B: $i] : ((~less_3(B)) | (v84(constB28, B) <=> v123(constB28, B)))),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[12183, 12179])).
% 8.48/6.06 tff(12185,plain,
% 8.48/6.06 (((~![B: $i] : ((~less_3(B)) | (v84(constB28, B) <=> v123(constB28, B)))) | ((~less_3(bitIndex2)) | (v84(constB28, bitIndex2) <=> v123(constB28, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB28, B) <=> v123(constB28, B)))) | (~less_3(bitIndex2)) | (v84(constB28, bitIndex2) <=> v123(constB28, bitIndex2)))),
% 8.48/6.06 inference(rewrite,[status(thm)],[])).
% 8.48/6.06 tff(12186,plain,
% 8.48/6.06 ((~![B: $i] : ((~less_3(B)) | (v84(constB28, B) <=> v123(constB28, B)))) | ((~less_3(bitIndex2)) | (v84(constB28, bitIndex2) <=> v123(constB28, bitIndex2)))),
% 8.48/6.06 inference(quant_inst,[status(thm)],[])).
% 8.48/6.06 tff(12187,plain,
% 8.48/6.06 ((~![B: $i] : ((~less_3(B)) | (v84(constB28, B) <=> v123(constB28, B)))) | (~less_3(bitIndex2)) | (v84(constB28, bitIndex2) <=> v123(constB28, bitIndex2))),
% 8.48/6.06 inference(modus_ponens,[status(thm)],[12186, 12185])).
% 8.48/6.06 tff(12188,plain,
% 8.48/6.06 (v84(constB28, bitIndex2) <=> v123(constB28, bitIndex2)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[12187, 832, 12184])).
% 8.48/6.06 tff(12189,plain,
% 8.48/6.06 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB27, constB28)) | ![B: $i] : ((~less_3(B)) | (v123(constB28, B) <=> v121(constB27, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB27, constB28)) | ![B: $i] : ((~less_3(B)) | (v123(constB28, B) <=> v121(constB27, B))))),
% 8.48/6.06 inference(rewrite,[status(thm)],[])).
% 8.48/6.06 tff(12190,plain,
% 8.48/6.06 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB27, constB28)) | ![B: $i] : ((~less_3(B)) | (v123(constB28, B) <=> v121(constB27, B))))),
% 8.48/6.06 inference(quant_inst,[status(thm)],[])).
% 8.48/6.06 tff(12191,plain,
% 8.48/6.06 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB27, constB28)) | ![B: $i] : ((~less_3(B)) | (v123(constB28, B) <=> v121(constB27, B)))),
% 8.48/6.06 inference(modus_ponens,[status(thm)],[12190, 12189])).
% 8.48/6.06 tff(12192,plain,
% 8.48/6.06 (![B: $i] : ((~less_3(B)) | (v123(constB28, B) <=> v121(constB27, B)))),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[12191, 8480, 9924])).
% 8.48/6.06 tff(12193,plain,
% 8.48/6.06 (((~![B: $i] : ((~less_3(B)) | (v123(constB28, B) <=> v121(constB27, B)))) | ((~less_3(bitIndex2)) | (v123(constB28, bitIndex2) <=> v121(constB27, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB28, B) <=> v121(constB27, B)))) | (~less_3(bitIndex2)) | (v123(constB28, bitIndex2) <=> v121(constB27, bitIndex2)))),
% 8.48/6.06 inference(rewrite,[status(thm)],[])).
% 8.48/6.06 tff(12194,plain,
% 8.48/6.06 ((~![B: $i] : ((~less_3(B)) | (v123(constB28, B) <=> v121(constB27, B)))) | ((~less_3(bitIndex2)) | (v123(constB28, bitIndex2) <=> v121(constB27, bitIndex2)))),
% 8.48/6.06 inference(quant_inst,[status(thm)],[])).
% 8.48/6.06 tff(12195,plain,
% 8.48/6.06 ((~![B: $i] : ((~less_3(B)) | (v123(constB28, B) <=> v121(constB27, B)))) | (~less_3(bitIndex2)) | (v123(constB28, bitIndex2) <=> v121(constB27, bitIndex2))),
% 8.48/6.06 inference(modus_ponens,[status(thm)],[12194, 12193])).
% 8.48/6.06 tff(12196,plain,
% 8.48/6.06 (v123(constB28, bitIndex2) <=> v121(constB27, bitIndex2)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[12195, 832, 12192])).
% 8.48/6.06 tff(12197,plain,
% 8.48/6.06 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB27) | ![B: $i] : ((~less_3(B)) | (v121(constB27, B) <=> v124(constB27, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB27) | ![B: $i] : ((~less_3(B)) | (v121(constB27, B) <=> v124(constB27, B))))),
% 8.48/6.06 inference(rewrite,[status(thm)],[])).
% 8.48/6.06 tff(12198,plain,
% 8.48/6.06 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB27) | ![B: $i] : ((~less_3(B)) | (v121(constB27, B) <=> v124(constB27, B))))),
% 8.48/6.06 inference(quant_inst,[status(thm)],[])).
% 8.48/6.06 tff(12199,plain,
% 8.48/6.06 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB27) | ![B: $i] : ((~less_3(B)) | (v121(constB27, B) <=> v124(constB27, B)))),
% 8.48/6.06 inference(modus_ponens,[status(thm)],[12198, 12197])).
% 8.48/6.06 tff(12200,plain,
% 8.48/6.06 (![B: $i] : ((~less_3(B)) | (v121(constB27, B) <=> v124(constB27, B)))),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[12199, 9945, 12161])).
% 8.48/6.06 tff(12201,plain,
% 8.48/6.06 (((~![B: $i] : ((~less_3(B)) | (v121(constB27, B) <=> v124(constB27, B)))) | ((~less_3(bitIndex2)) | (v121(constB27, bitIndex2) <=> v124(constB27, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB27, B) <=> v124(constB27, B)))) | (~less_3(bitIndex2)) | (v121(constB27, bitIndex2) <=> v124(constB27, bitIndex2)))),
% 8.48/6.06 inference(rewrite,[status(thm)],[])).
% 8.48/6.06 tff(12202,plain,
% 8.48/6.06 ((~![B: $i] : ((~less_3(B)) | (v121(constB27, B) <=> v124(constB27, B)))) | ((~less_3(bitIndex2)) | (v121(constB27, bitIndex2) <=> v124(constB27, bitIndex2)))),
% 8.48/6.06 inference(quant_inst,[status(thm)],[])).
% 8.48/6.06 tff(12203,plain,
% 8.48/6.06 ((~![B: $i] : ((~less_3(B)) | (v121(constB27, B) <=> v124(constB27, B)))) | (~less_3(bitIndex2)) | (v121(constB27, bitIndex2) <=> v124(constB27, bitIndex2))),
% 8.48/6.06 inference(modus_ponens,[status(thm)],[12202, 12201])).
% 8.48/6.06 tff(12204,plain,
% 8.48/6.06 (v121(constB27, bitIndex2) <=> v124(constB27, bitIndex2)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[12203, 832, 12200])).
% 8.48/6.06 tff(12205,plain,
% 8.48/6.06 (((~![VarCurr: $i] : ((~v114(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b010(B))))) | ((~v114(constB27)) | ![B: $i] : ((~less_3(B)) | (v124(constB27, B) <=> b010(B))))) <=> ((~![VarCurr: $i] : ((~v114(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b010(B))))) | (~v114(constB27)) | ![B: $i] : ((~less_3(B)) | (v124(constB27, B) <=> b010(B))))),
% 8.48/6.06 inference(rewrite,[status(thm)],[])).
% 8.48/6.06 tff(12206,plain,
% 8.48/6.06 ((~![VarCurr: $i] : ((~v114(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b010(B))))) | ((~v114(constB27)) | ![B: $i] : ((~less_3(B)) | (v124(constB27, B) <=> b010(B))))),
% 8.48/6.06 inference(quant_inst,[status(thm)],[])).
% 8.48/6.06 tff(12207,plain,
% 8.48/6.06 ((~![VarCurr: $i] : ((~v114(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b010(B))))) | (~v114(constB27)) | ![B: $i] : ((~less_3(B)) | (v124(constB27, B) <=> b010(B)))),
% 8.48/6.06 inference(modus_ponens,[status(thm)],[12206, 12205])).
% 8.48/6.06 tff(12208,plain,
% 8.48/6.06 ((~v114(constB27)) | ![B: $i] : ((~less_3(B)) | (v124(constB27, B) <=> b010(B)))),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[12207, 10149])).
% 8.48/6.06 tff(12209,plain,
% 8.48/6.06 (![B: $i] : ((~less_3(B)) | (v124(constB27, B) <=> b010(B)))),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[12208, 12128])).
% 8.48/6.06 tff(12210,plain,
% 8.48/6.06 (((~![B: $i] : ((~less_3(B)) | (v124(constB27, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v124(constB27, bitIndex2) <=> b010(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB27, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v124(constB27, bitIndex2) <=> b010(bitIndex2)))),
% 8.48/6.06 inference(rewrite,[status(thm)],[])).
% 8.48/6.06 tff(12211,plain,
% 8.48/6.06 ((~![B: $i] : ((~less_3(B)) | (v124(constB27, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v124(constB27, bitIndex2) <=> b010(bitIndex2)))),
% 8.48/6.06 inference(quant_inst,[status(thm)],[])).
% 8.48/6.06 tff(12212,plain,
% 8.48/6.06 ((~![B: $i] : ((~less_3(B)) | (v124(constB27, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v124(constB27, bitIndex2) <=> b010(bitIndex2))),
% 8.48/6.06 inference(modus_ponens,[status(thm)],[12211, 12210])).
% 8.48/6.06 tff(12213,plain,
% 8.48/6.06 (v124(constB27, bitIndex2) <=> b010(bitIndex2)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[12212, 832, 12209])).
% 8.48/6.06 tff(12214,plain,
% 8.48/6.06 ((~(v124(constB27, bitIndex2) <=> b010(bitIndex2))) | (~v124(constB27, bitIndex2)) | b010(bitIndex2)),
% 8.48/6.06 inference(tautology,[status(thm)],[])).
% 8.48/6.06 tff(12215,plain,
% 8.48/6.06 ((~(v124(constB27, bitIndex2) <=> b010(bitIndex2))) | (~v124(constB27, bitIndex2))),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[12214, 10161])).
% 8.48/6.06 tff(12216,plain,
% 8.48/6.06 (~v124(constB27, bitIndex2)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[12215, 12213])).
% 8.48/6.06 tff(12217,plain,
% 8.48/6.06 ((~(v121(constB27, bitIndex2) <=> v124(constB27, bitIndex2))) | (~v121(constB27, bitIndex2)) | v124(constB27, bitIndex2)),
% 8.48/6.06 inference(tautology,[status(thm)],[])).
% 8.48/6.06 tff(12218,plain,
% 8.48/6.06 (~v121(constB27, bitIndex2)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[12217, 12216, 12204])).
% 8.48/6.06 tff(12219,plain,
% 8.48/6.06 ((~(v123(constB28, bitIndex2) <=> v121(constB27, bitIndex2))) | (~v123(constB28, bitIndex2)) | v121(constB27, bitIndex2)),
% 8.48/6.06 inference(tautology,[status(thm)],[])).
% 8.48/6.06 tff(12220,plain,
% 8.48/6.06 (~v123(constB28, bitIndex2)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[12219, 12218, 12196])).
% 8.48/6.06 tff(12221,plain,
% 8.48/6.06 ((~(v84(constB28, bitIndex2) <=> v123(constB28, bitIndex2))) | (~v84(constB28, bitIndex2)) | v123(constB28, bitIndex2)),
% 8.48/6.06 inference(tautology,[status(thm)],[])).
% 8.48/6.06 tff(12222,plain,
% 8.48/6.06 (~v84(constB28, bitIndex2)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[12221, 12220, 12188])).
% 8.48/6.06 tff(12223,plain,
% 8.48/6.06 ((~(v84(constB29, bitIndex2) <=> v84(constB28, bitIndex2))) | (~v84(constB29, bitIndex2)) | v84(constB28, bitIndex2)),
% 8.48/6.06 inference(tautology,[status(thm)],[])).
% 8.48/6.06 tff(12224,plain,
% 8.48/6.06 (~v84(constB29, bitIndex2)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[12223, 12222, 8477])).
% 8.48/6.06 tff(12225,plain,
% 8.48/6.06 (((~![B: $i] : ((~less_3(B)) | (v84(constB29, B) <=> v84(constB28, B)))) | ((~less_3(bitIndex0)) | (v84(constB29, bitIndex0) <=> v84(constB28, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB29, B) <=> v84(constB28, B)))) | (~less_3(bitIndex0)) | (v84(constB29, bitIndex0) <=> v84(constB28, bitIndex0)))),
% 8.48/6.06 inference(rewrite,[status(thm)],[])).
% 8.48/6.06 tff(12226,plain,
% 8.48/6.06 ((~![B: $i] : ((~less_3(B)) | (v84(constB29, B) <=> v84(constB28, B)))) | ((~less_3(bitIndex0)) | (v84(constB29, bitIndex0) <=> v84(constB28, bitIndex0)))),
% 8.48/6.06 inference(quant_inst,[status(thm)],[])).
% 8.48/6.06 tff(12227,plain,
% 8.48/6.06 ((~![B: $i] : ((~less_3(B)) | (v84(constB29, B) <=> v84(constB28, B)))) | (~less_3(bitIndex0)) | (v84(constB29, bitIndex0) <=> v84(constB28, bitIndex0))),
% 8.48/6.06 inference(modus_ponens,[status(thm)],[12226, 12225])).
% 8.48/6.06 tff(12228,plain,
% 8.48/6.06 (v84(constB29, bitIndex0) <=> v84(constB28, bitIndex0)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[12227, 9772, 8473])).
% 8.48/6.06 tff(12229,plain,
% 8.48/6.06 (((~![B: $i] : ((~less_3(B)) | (v84(constB28, B) <=> v123(constB28, B)))) | ((~less_3(bitIndex0)) | (v84(constB28, bitIndex0) <=> v123(constB28, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB28, B) <=> v123(constB28, B)))) | (~less_3(bitIndex0)) | (v84(constB28, bitIndex0) <=> v123(constB28, bitIndex0)))),
% 8.48/6.06 inference(rewrite,[status(thm)],[])).
% 8.48/6.06 tff(12230,plain,
% 8.48/6.06 ((~![B: $i] : ((~less_3(B)) | (v84(constB28, B) <=> v123(constB28, B)))) | ((~less_3(bitIndex0)) | (v84(constB28, bitIndex0) <=> v123(constB28, bitIndex0)))),
% 8.48/6.06 inference(quant_inst,[status(thm)],[])).
% 8.48/6.06 tff(12231,plain,
% 8.48/6.06 ((~![B: $i] : ((~less_3(B)) | (v84(constB28, B) <=> v123(constB28, B)))) | (~less_3(bitIndex0)) | (v84(constB28, bitIndex0) <=> v123(constB28, bitIndex0))),
% 8.48/6.06 inference(modus_ponens,[status(thm)],[12230, 12229])).
% 8.48/6.06 tff(12232,plain,
% 8.48/6.06 (v84(constB28, bitIndex0) <=> v123(constB28, bitIndex0)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[12231, 9772, 12184])).
% 8.48/6.06 tff(12233,plain,
% 8.48/6.06 (((~![B: $i] : ((~less_3(B)) | (v123(constB28, B) <=> v121(constB27, B)))) | ((~less_3(bitIndex0)) | (v123(constB28, bitIndex0) <=> v121(constB27, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB28, B) <=> v121(constB27, B)))) | (~less_3(bitIndex0)) | (v123(constB28, bitIndex0) <=> v121(constB27, bitIndex0)))),
% 8.48/6.06 inference(rewrite,[status(thm)],[])).
% 8.48/6.06 tff(12234,plain,
% 8.48/6.06 ((~![B: $i] : ((~less_3(B)) | (v123(constB28, B) <=> v121(constB27, B)))) | ((~less_3(bitIndex0)) | (v123(constB28, bitIndex0) <=> v121(constB27, bitIndex0)))),
% 8.48/6.06 inference(quant_inst,[status(thm)],[])).
% 8.48/6.06 tff(12235,plain,
% 8.48/6.06 ((~![B: $i] : ((~less_3(B)) | (v123(constB28, B) <=> v121(constB27, B)))) | (~less_3(bitIndex0)) | (v123(constB28, bitIndex0) <=> v121(constB27, bitIndex0))),
% 8.48/6.06 inference(modus_ponens,[status(thm)],[12234, 12233])).
% 8.48/6.06 tff(12236,plain,
% 8.48/6.06 (v123(constB28, bitIndex0) <=> v121(constB27, bitIndex0)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[12235, 9772, 12192])).
% 8.48/6.06 tff(12237,plain,
% 8.48/6.06 (((~![B: $i] : ((~less_3(B)) | (v121(constB27, B) <=> v124(constB27, B)))) | ((~less_3(bitIndex0)) | (v121(constB27, bitIndex0) <=> v124(constB27, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB27, B) <=> v124(constB27, B)))) | (~less_3(bitIndex0)) | (v121(constB27, bitIndex0) <=> v124(constB27, bitIndex0)))),
% 8.48/6.06 inference(rewrite,[status(thm)],[])).
% 8.48/6.06 tff(12238,plain,
% 8.48/6.06 ((~![B: $i] : ((~less_3(B)) | (v121(constB27, B) <=> v124(constB27, B)))) | ((~less_3(bitIndex0)) | (v121(constB27, bitIndex0) <=> v124(constB27, bitIndex0)))),
% 8.48/6.06 inference(quant_inst,[status(thm)],[])).
% 8.48/6.06 tff(12239,plain,
% 8.48/6.06 ((~![B: $i] : ((~less_3(B)) | (v121(constB27, B) <=> v124(constB27, B)))) | (~less_3(bitIndex0)) | (v121(constB27, bitIndex0) <=> v124(constB27, bitIndex0))),
% 8.48/6.06 inference(modus_ponens,[status(thm)],[12238, 12237])).
% 8.48/6.06 tff(12240,plain,
% 8.48/6.06 (v121(constB27, bitIndex0) <=> v124(constB27, bitIndex0)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[12239, 9772, 12200])).
% 8.48/6.06 tff(12241,plain,
% 8.48/6.06 (((~![B: $i] : ((~less_3(B)) | (v124(constB27, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v124(constB27, bitIndex0) <=> b010(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB27, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v124(constB27, bitIndex0) <=> b010(bitIndex0)))),
% 8.48/6.06 inference(rewrite,[status(thm)],[])).
% 8.48/6.06 tff(12242,plain,
% 8.48/6.06 ((~![B: $i] : ((~less_3(B)) | (v124(constB27, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v124(constB27, bitIndex0) <=> b010(bitIndex0)))),
% 8.48/6.06 inference(quant_inst,[status(thm)],[])).
% 8.48/6.06 tff(12243,plain,
% 8.48/6.06 ((~![B: $i] : ((~less_3(B)) | (v124(constB27, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v124(constB27, bitIndex0) <=> b010(bitIndex0))),
% 8.48/6.06 inference(modus_ponens,[status(thm)],[12242, 12241])).
% 8.48/6.06 tff(12244,plain,
% 8.48/6.06 (v124(constB27, bitIndex0) <=> b010(bitIndex0)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[12243, 9772, 12209])).
% 8.48/6.06 tff(12245,plain,
% 8.48/6.06 ((~(v124(constB27, bitIndex0) <=> b010(bitIndex0))) | (~v124(constB27, bitIndex0)) | b010(bitIndex0)),
% 8.48/6.06 inference(tautology,[status(thm)],[])).
% 8.48/6.06 tff(12246,plain,
% 8.48/6.06 ((~(v124(constB27, bitIndex0) <=> b010(bitIndex0))) | (~v124(constB27, bitIndex0))),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[12245, 10195])).
% 8.48/6.06 tff(12247,plain,
% 8.48/6.06 (~v124(constB27, bitIndex0)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[12246, 12244])).
% 8.48/6.06 tff(12248,plain,
% 8.48/6.06 ((~(v121(constB27, bitIndex0) <=> v124(constB27, bitIndex0))) | (~v121(constB27, bitIndex0)) | v124(constB27, bitIndex0)),
% 8.48/6.06 inference(tautology,[status(thm)],[])).
% 8.48/6.06 tff(12249,plain,
% 8.48/6.06 (~v121(constB27, bitIndex0)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[12248, 12247, 12240])).
% 8.48/6.06 tff(12250,plain,
% 8.48/6.06 ((~(v123(constB28, bitIndex0) <=> v121(constB27, bitIndex0))) | (~v123(constB28, bitIndex0)) | v121(constB27, bitIndex0)),
% 8.48/6.06 inference(tautology,[status(thm)],[])).
% 8.48/6.06 tff(12251,plain,
% 8.48/6.06 (~v123(constB28, bitIndex0)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[12250, 12249, 12236])).
% 8.48/6.06 tff(12252,plain,
% 8.48/6.06 ((~(v84(constB28, bitIndex0) <=> v123(constB28, bitIndex0))) | (~v84(constB28, bitIndex0)) | v123(constB28, bitIndex0)),
% 8.48/6.06 inference(tautology,[status(thm)],[])).
% 8.48/6.06 tff(12253,plain,
% 8.48/6.06 (~v84(constB28, bitIndex0)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[12252, 12251, 12232])).
% 8.48/6.06 tff(12254,plain,
% 8.48/6.06 ((~(v84(constB29, bitIndex0) <=> v84(constB28, bitIndex0))) | (~v84(constB29, bitIndex0)) | v84(constB28, bitIndex0)),
% 8.48/6.06 inference(tautology,[status(thm)],[])).
% 8.48/6.06 tff(12255,plain,
% 8.48/6.06 (~v84(constB29, bitIndex0)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[12254, 12253, 12228])).
% 8.48/6.06 tff(12256,plain,
% 8.48/6.06 (((~![B: $i] : ((~less_3(B)) | (v84(constB29, B) <=> v84(constB28, B)))) | ((~less_3(bitIndex1)) | (v84(constB29, bitIndex1) <=> v84(constB28, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB29, B) <=> v84(constB28, B)))) | (~less_3(bitIndex1)) | (v84(constB29, bitIndex1) <=> v84(constB28, bitIndex1)))),
% 8.48/6.06 inference(rewrite,[status(thm)],[])).
% 8.48/6.06 tff(12257,plain,
% 8.48/6.06 ((~![B: $i] : ((~less_3(B)) | (v84(constB29, B) <=> v84(constB28, B)))) | ((~less_3(bitIndex1)) | (v84(constB29, bitIndex1) <=> v84(constB28, bitIndex1)))),
% 8.48/6.06 inference(quant_inst,[status(thm)],[])).
% 8.48/6.06 tff(12258,plain,
% 8.48/6.06 ((~![B: $i] : ((~less_3(B)) | (v84(constB29, B) <=> v84(constB28, B)))) | (~less_3(bitIndex1)) | (v84(constB29, bitIndex1) <=> v84(constB28, bitIndex1))),
% 8.48/6.06 inference(modus_ponens,[status(thm)],[12257, 12256])).
% 8.48/6.06 tff(12259,plain,
% 8.48/6.06 (v84(constB29, bitIndex1) <=> v84(constB28, bitIndex1)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[12258, 9785, 8473])).
% 8.48/6.06 tff(12260,plain,
% 8.48/6.06 (((~![B: $i] : ((~less_3(B)) | (v84(constB28, B) <=> v123(constB28, B)))) | ((~less_3(bitIndex1)) | (v84(constB28, bitIndex1) <=> v123(constB28, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB28, B) <=> v123(constB28, B)))) | (~less_3(bitIndex1)) | (v84(constB28, bitIndex1) <=> v123(constB28, bitIndex1)))),
% 8.48/6.06 inference(rewrite,[status(thm)],[])).
% 8.48/6.06 tff(12261,plain,
% 8.48/6.06 ((~![B: $i] : ((~less_3(B)) | (v84(constB28, B) <=> v123(constB28, B)))) | ((~less_3(bitIndex1)) | (v84(constB28, bitIndex1) <=> v123(constB28, bitIndex1)))),
% 8.48/6.06 inference(quant_inst,[status(thm)],[])).
% 8.48/6.06 tff(12262,plain,
% 8.48/6.06 ((~![B: $i] : ((~less_3(B)) | (v84(constB28, B) <=> v123(constB28, B)))) | (~less_3(bitIndex1)) | (v84(constB28, bitIndex1) <=> v123(constB28, bitIndex1))),
% 8.48/6.06 inference(modus_ponens,[status(thm)],[12261, 12260])).
% 8.48/6.06 tff(12263,plain,
% 8.48/6.06 (v84(constB28, bitIndex1) <=> v123(constB28, bitIndex1)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[12262, 9785, 12184])).
% 8.48/6.06 tff(12264,plain,
% 8.48/6.06 (((~![B: $i] : ((~less_3(B)) | (v123(constB28, B) <=> v121(constB27, B)))) | ((~less_3(bitIndex1)) | (v123(constB28, bitIndex1) <=> v121(constB27, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB28, B) <=> v121(constB27, B)))) | (~less_3(bitIndex1)) | (v123(constB28, bitIndex1) <=> v121(constB27, bitIndex1)))),
% 8.48/6.06 inference(rewrite,[status(thm)],[])).
% 8.48/6.06 tff(12265,plain,
% 8.48/6.06 ((~![B: $i] : ((~less_3(B)) | (v123(constB28, B) <=> v121(constB27, B)))) | ((~less_3(bitIndex1)) | (v123(constB28, bitIndex1) <=> v121(constB27, bitIndex1)))),
% 8.48/6.06 inference(quant_inst,[status(thm)],[])).
% 8.48/6.06 tff(12266,plain,
% 8.48/6.06 ((~![B: $i] : ((~less_3(B)) | (v123(constB28, B) <=> v121(constB27, B)))) | (~less_3(bitIndex1)) | (v123(constB28, bitIndex1) <=> v121(constB27, bitIndex1))),
% 8.48/6.06 inference(modus_ponens,[status(thm)],[12265, 12264])).
% 8.48/6.06 tff(12267,plain,
% 8.48/6.06 (v123(constB28, bitIndex1) <=> v121(constB27, bitIndex1)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[12266, 9785, 12192])).
% 8.48/6.06 tff(12268,plain,
% 8.48/6.06 (((~![B: $i] : ((~less_3(B)) | (v121(constB27, B) <=> v124(constB27, B)))) | ((~less_3(bitIndex1)) | (v121(constB27, bitIndex1) <=> v124(constB27, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB27, B) <=> v124(constB27, B)))) | (~less_3(bitIndex1)) | (v121(constB27, bitIndex1) <=> v124(constB27, bitIndex1)))),
% 8.48/6.06 inference(rewrite,[status(thm)],[])).
% 8.48/6.06 tff(12269,plain,
% 8.48/6.06 ((~![B: $i] : ((~less_3(B)) | (v121(constB27, B) <=> v124(constB27, B)))) | ((~less_3(bitIndex1)) | (v121(constB27, bitIndex1) <=> v124(constB27, bitIndex1)))),
% 8.48/6.06 inference(quant_inst,[status(thm)],[])).
% 8.48/6.06 tff(12270,plain,
% 8.48/6.06 ((~![B: $i] : ((~less_3(B)) | (v121(constB27, B) <=> v124(constB27, B)))) | (~less_3(bitIndex1)) | (v121(constB27, bitIndex1) <=> v124(constB27, bitIndex1))),
% 8.48/6.06 inference(modus_ponens,[status(thm)],[12269, 12268])).
% 8.48/6.06 tff(12271,plain,
% 8.48/6.06 (v121(constB27, bitIndex1) <=> v124(constB27, bitIndex1)),
% 8.48/6.06 inference(unit_resolution,[status(thm)],[12270, 9785, 12200])).
% 8.48/6.06 tff(12272,plain,
% 8.48/6.06 (((~![B: $i] : ((~less_3(B)) | (v124(constB27, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v124(constB27, bitIndex1) <=> b010(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB27, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v124(constB27, bitIndex1) <=> b010(bitIndex1)))),
% 8.48/6.06 inference(rewrite,[status(thm)],[])).
% 8.48/6.06 tff(12273,plain,
% 8.48/6.06 ((~![B: $i] : ((~less_3(B)) | (v124(constB27, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v124(constB27, bitIndex1) <=> b010(bitIndex1)))),
% 8.48/6.06 inference(quant_inst,[status(thm)],[])).
% 8.48/6.06 tff(12274,plain,
% 8.48/6.06 ((~![B: $i] : ((~less_3(B)) | (v124(constB27, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v124(constB27, bitIndex1) <=> b010(bitIndex1))),
% 8.48/6.07 inference(modus_ponens,[status(thm)],[12273, 12272])).
% 8.48/6.07 tff(12275,plain,
% 8.48/6.07 (v124(constB27, bitIndex1) <=> b010(bitIndex1)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[12274, 9785, 12209])).
% 8.48/6.07 tff(12276,plain,
% 8.48/6.07 ((~(v124(constB27, bitIndex1) <=> b010(bitIndex1))) | v124(constB27, bitIndex1) | (~b010(bitIndex1))),
% 8.48/6.07 inference(tautology,[status(thm)],[])).
% 8.48/6.07 tff(12277,plain,
% 8.48/6.07 ((~(v124(constB27, bitIndex1) <=> b010(bitIndex1))) | v124(constB27, bitIndex1)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[12276, 10229])).
% 8.48/6.07 tff(12278,plain,
% 8.48/6.07 (v124(constB27, bitIndex1)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[12277, 12275])).
% 8.48/6.07 tff(12279,plain,
% 8.48/6.07 ((~(v121(constB27, bitIndex1) <=> v124(constB27, bitIndex1))) | v121(constB27, bitIndex1) | (~v124(constB27, bitIndex1))),
% 8.48/6.07 inference(tautology,[status(thm)],[])).
% 8.48/6.07 tff(12280,plain,
% 8.48/6.07 (v121(constB27, bitIndex1)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[12279, 12278, 12271])).
% 8.48/6.07 tff(12281,plain,
% 8.48/6.07 ((~(v123(constB28, bitIndex1) <=> v121(constB27, bitIndex1))) | v123(constB28, bitIndex1) | (~v121(constB27, bitIndex1))),
% 8.48/6.07 inference(tautology,[status(thm)],[])).
% 8.48/6.07 tff(12282,plain,
% 8.48/6.07 (v123(constB28, bitIndex1)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[12281, 12280, 12267])).
% 8.48/6.07 tff(12283,plain,
% 8.48/6.07 ((~(v84(constB28, bitIndex1) <=> v123(constB28, bitIndex1))) | v84(constB28, bitIndex1) | (~v123(constB28, bitIndex1))),
% 8.48/6.07 inference(tautology,[status(thm)],[])).
% 8.48/6.07 tff(12284,plain,
% 8.48/6.07 (v84(constB28, bitIndex1)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[12283, 12282, 12263])).
% 8.48/6.07 tff(12285,plain,
% 8.48/6.07 ((~(v84(constB29, bitIndex1) <=> v84(constB28, bitIndex1))) | v84(constB29, bitIndex1) | (~v84(constB28, bitIndex1))),
% 8.48/6.07 inference(tautology,[status(thm)],[])).
% 8.48/6.07 tff(12286,plain,
% 8.48/6.07 (v84(constB29, bitIndex1)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[12285, 12284, 12259])).
% 8.48/6.07 tff(12287,plain,
% 8.48/6.07 ((~(v84(constB29, bitIndex2) | (~v84(constB29, bitIndex1)) | v84(constB29, bitIndex0))) | v84(constB29, bitIndex2) | (~v84(constB29, bitIndex1)) | v84(constB29, bitIndex0)),
% 8.48/6.07 inference(tautology,[status(thm)],[])).
% 8.48/6.07 tff(12288,plain,
% 8.48/6.07 (~(v84(constB29, bitIndex2) | (~v84(constB29, bitIndex1)) | v84(constB29, bitIndex0))),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[12287, 12286, 12255, 12224])).
% 8.48/6.07 tff(12289,plain,
% 8.48/6.07 ((~(v115(constB29) <=> (~(v84(constB29, bitIndex2) | (~v84(constB29, bitIndex1)) | v84(constB29, bitIndex0))))) | v115(constB29) | (v84(constB29, bitIndex2) | (~v84(constB29, bitIndex1)) | v84(constB29, bitIndex0))),
% 8.48/6.07 inference(tautology,[status(thm)],[])).
% 8.48/6.07 tff(12290,plain,
% 8.48/6.07 (v115(constB29)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[12289, 12288, 8445])).
% 8.48/6.07 tff(12291,plain,
% 8.48/6.07 ((v112(constB29) | v115(constB29)) | (~v115(constB29))),
% 8.48/6.07 inference(tautology,[status(thm)],[])).
% 8.48/6.07 tff(12292,plain,
% 8.48/6.07 (v112(constB29) | v115(constB29)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[12291, 12290])).
% 8.48/6.07 tff(12293,plain,
% 8.48/6.07 ((~(v111(constB29) <=> (v112(constB29) | v115(constB29)))) | v111(constB29) | (~(v112(constB29) | v115(constB29)))),
% 8.48/6.07 inference(tautology,[status(thm)],[])).
% 8.48/6.07 tff(12294,plain,
% 8.48/6.07 (v111(constB29)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[12293, 12292, 8438])).
% 8.48/6.07 tff(12295,plain,
% 8.48/6.07 ((v111(constB29) | v116(constB29)) | (~v111(constB29))),
% 8.48/6.07 inference(tautology,[status(thm)],[])).
% 8.48/6.07 tff(12296,plain,
% 8.48/6.07 (v111(constB29) | v116(constB29)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[12295, 12294])).
% 8.48/6.07 tff(12297,plain,
% 8.48/6.07 ((~(v110(constB29) <=> (v111(constB29) | v116(constB29)))) | v110(constB29) | (~(v111(constB29) | v116(constB29)))),
% 8.48/6.07 inference(tautology,[status(thm)],[])).
% 8.48/6.07 tff(12298,plain,
% 8.48/6.07 (v110(constB29)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[12297, 12296, 8436])).
% 8.48/6.07 tff(12299,plain,
% 8.48/6.07 ((v110(constB29) | v117(constB29)) | (~v110(constB29))),
% 8.48/6.07 inference(tautology,[status(thm)],[])).
% 8.48/6.07 tff(12300,plain,
% 8.48/6.07 (v110(constB29) | v117(constB29)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[12299, 12298])).
% 8.48/6.07 tff(12301,plain,
% 8.48/6.07 ((~(v109(constB29) <=> (v110(constB29) | v117(constB29)))) | v109(constB29) | (~(v110(constB29) | v117(constB29)))),
% 8.48/6.07 inference(tautology,[status(thm)],[])).
% 8.48/6.07 tff(12302,plain,
% 8.48/6.07 (v109(constB29)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[12301, 12300, 8434])).
% 8.48/6.07 tff(12303,plain,
% 8.48/6.07 ((v109(constB29) | v118(constB29)) | (~v109(constB29))),
% 8.48/6.07 inference(tautology,[status(thm)],[])).
% 8.48/6.07 tff(12304,plain,
% 8.48/6.07 (v109(constB29) | v118(constB29)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[12303, 12302])).
% 8.48/6.07 tff(12305,plain,
% 8.48/6.07 ((~(v108(constB29) <=> (v109(constB29) | v118(constB29)))) | v108(constB29) | (~(v109(constB29) | v118(constB29)))),
% 8.48/6.07 inference(tautology,[status(thm)],[])).
% 8.48/6.07 tff(12306,plain,
% 8.48/6.07 (v108(constB29)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[12305, 12304, 8432])).
% 8.48/6.07 tff(12307,plain,
% 8.48/6.07 ((v108(constB29) | v119(constB29)) | (~v108(constB29))),
% 8.48/6.07 inference(tautology,[status(thm)],[])).
% 8.48/6.07 tff(12308,plain,
% 8.48/6.07 (v108(constB29) | v119(constB29)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[12307, 12306])).
% 8.48/6.07 tff(12309,plain,
% 8.48/6.07 ((~(v107(constB29) <=> (v108(constB29) | v119(constB29)))) | v107(constB29) | (~(v108(constB29) | v119(constB29)))),
% 8.48/6.07 inference(tautology,[status(thm)],[])).
% 8.48/6.07 tff(12310,plain,
% 8.48/6.07 (v107(constB29)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[12309, 12308, 8430])).
% 8.48/6.07 tff(12311,plain,
% 8.48/6.07 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB29)) <=> v105(constB29))),
% 8.48/6.07 inference(quant_inst,[status(thm)],[])).
% 8.48/6.07 tff(12312,plain,
% 8.48/6.07 ((~v120(constB29)) <=> v105(constB29)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[12311, 9842])).
% 8.48/6.07 tff(12313,plain,
% 8.48/6.07 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB29) <=> v26(constB29))),
% 8.48/6.07 inference(quant_inst,[status(thm)],[])).
% 8.48/6.07 tff(12314,plain,
% 8.48/6.07 (v105(constB29) <=> v26(constB29)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[12313, 9854])).
% 8.48/6.07 tff(12315,plain,
% 8.48/6.07 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB29))),
% 8.48/6.07 inference(quant_inst,[status(thm)],[])).
% 8.48/6.07 tff(12316,plain,
% 8.48/6.07 (~v26(constB29)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[12315, 9866])).
% 8.48/6.07 tff(12317,plain,
% 8.48/6.07 ((~(v105(constB29) <=> v26(constB29))) | (~v105(constB29)) | v26(constB29)),
% 8.48/6.07 inference(tautology,[status(thm)],[])).
% 8.48/6.07 tff(12318,plain,
% 8.48/6.07 ((~(v105(constB29) <=> v26(constB29))) | (~v105(constB29))),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[12317, 12316])).
% 8.48/6.07 tff(12319,plain,
% 8.48/6.07 (~v105(constB29)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[12318, 12314])).
% 8.48/6.07 tff(12320,plain,
% 8.48/6.07 ((~((~v120(constB29)) <=> v105(constB29))) | v120(constB29) | v105(constB29)),
% 8.48/6.07 inference(tautology,[status(thm)],[])).
% 8.48/6.07 tff(12321,plain,
% 8.48/6.07 ((~((~v120(constB29)) <=> v105(constB29))) | v120(constB29)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[12320, 12319])).
% 8.48/6.07 tff(12322,plain,
% 8.48/6.07 (v120(constB29)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[12321, 12312])).
% 8.48/6.07 tff(12323,plain,
% 8.48/6.07 ((~((~v107(constB29)) | (~v120(constB29)))) | (~v107(constB29)) | (~v120(constB29))),
% 8.48/6.07 inference(tautology,[status(thm)],[])).
% 8.48/6.07 tff(12324,plain,
% 8.48/6.07 ((~((~v107(constB29)) | (~v120(constB29)))) | (~v107(constB29))),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[12323, 12322])).
% 8.48/6.07 tff(12325,plain,
% 8.48/6.07 (~((~v107(constB29)) | (~v120(constB29)))),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[12324, 12310])).
% 8.48/6.07 tff(12326,plain,
% 8.48/6.07 ((~(v106(constB29) <=> (~((~v107(constB29)) | (~v120(constB29)))))) | v106(constB29) | ((~v107(constB29)) | (~v120(constB29)))),
% 8.48/6.07 inference(tautology,[status(thm)],[])).
% 8.48/6.07 tff(12327,plain,
% 8.48/6.07 (v106(constB29)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[12326, 12325, 8428])).
% 8.48/6.07 tff(12328,plain,
% 8.48/6.07 ((v105(constB29) | v106(constB29)) | (~v106(constB29))),
% 8.48/6.07 inference(tautology,[status(thm)],[])).
% 8.48/6.07 tff(12329,plain,
% 8.48/6.07 (v105(constB29) | v106(constB29)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[12328, 12327])).
% 8.48/6.07 tff(12330,plain,
% 8.48/6.07 ((~(v102(constB29) <=> (v105(constB29) | v106(constB29)))) | v102(constB29) | (~(v105(constB29) | v106(constB29)))),
% 8.48/6.07 inference(tautology,[status(thm)],[])).
% 8.48/6.07 tff(12331,plain,
% 8.48/6.07 (v102(constB29)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[12330, 12329, 8426])).
% 8.48/6.07 tff(12332,plain,
% 8.48/6.07 ((~(v104(constB30) <=> v102(constB29))) | v104(constB30) | (~v102(constB29))),
% 8.48/6.07 inference(tautology,[status(thm)],[])).
% 8.48/6.07 tff(12333,plain,
% 8.48/6.07 (v104(constB30)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[12332, 12331, 8424])).
% 8.48/6.07 tff(12334,plain,
% 8.48/6.07 ((~((~v104(constB30)) | (~v95(constB30)))) | (~v104(constB30)) | (~v95(constB30))),
% 8.48/6.07 inference(tautology,[status(thm)],[])).
% 8.48/6.07 tff(12335,plain,
% 8.48/6.07 (~((~v104(constB30)) | (~v95(constB30)))),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[12334, 12333, 8420])).
% 8.48/6.07 tff(12336,plain,
% 8.48/6.07 ((~(v94(constB30) <=> (~((~v104(constB30)) | (~v95(constB30)))))) | v94(constB30) | ((~v104(constB30)) | (~v95(constB30)))),
% 8.48/6.07 inference(tautology,[status(thm)],[])).
% 8.48/6.07 tff(12337,plain,
% 8.48/6.07 (v94(constB30)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[12336, 12335, 8389])).
% 8.48/6.07 tff(12338,plain,
% 8.48/6.07 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB30)) | ![B: $i] : ((~less_3(B)) | (v84(constB30, B) <=> v123(constB30, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB30)) | ![B: $i] : ((~less_3(B)) | (v84(constB30, B) <=> v123(constB30, B))))),
% 8.48/6.07 inference(rewrite,[status(thm)],[])).
% 8.48/6.07 tff(12339,plain,
% 8.48/6.07 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB30)) | ![B: $i] : ((~less_3(B)) | (v84(constB30, B) <=> v123(constB30, B))))),
% 8.48/6.07 inference(quant_inst,[status(thm)],[])).
% 8.48/6.07 tff(12340,plain,
% 8.48/6.07 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB30)) | ![B: $i] : ((~less_3(B)) | (v84(constB30, B) <=> v123(constB30, B)))),
% 8.48/6.07 inference(modus_ponens,[status(thm)],[12339, 12338])).
% 8.48/6.07 tff(12341,plain,
% 8.48/6.07 ((~v94(constB30)) | ![B: $i] : ((~less_3(B)) | (v84(constB30, B) <=> v123(constB30, B)))),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[12340, 9902])).
% 8.48/6.07 tff(12342,plain,
% 8.48/6.07 (![B: $i] : ((~less_3(B)) | (v84(constB30, B) <=> v123(constB30, B)))),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[12341, 12337])).
% 8.48/6.07 tff(12343,plain,
% 8.48/6.07 (((~![B: $i] : ((~less_3(B)) | (v84(constB30, B) <=> v123(constB30, B)))) | ((~less_3(bitIndex2)) | (v84(constB30, bitIndex2) <=> v123(constB30, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB30, B) <=> v123(constB30, B)))) | (~less_3(bitIndex2)) | (v84(constB30, bitIndex2) <=> v123(constB30, bitIndex2)))),
% 8.48/6.07 inference(rewrite,[status(thm)],[])).
% 8.48/6.07 tff(12344,plain,
% 8.48/6.07 ((~![B: $i] : ((~less_3(B)) | (v84(constB30, B) <=> v123(constB30, B)))) | ((~less_3(bitIndex2)) | (v84(constB30, bitIndex2) <=> v123(constB30, bitIndex2)))),
% 8.48/6.07 inference(quant_inst,[status(thm)],[])).
% 8.48/6.07 tff(12345,plain,
% 8.48/6.07 ((~![B: $i] : ((~less_3(B)) | (v84(constB30, B) <=> v123(constB30, B)))) | (~less_3(bitIndex2)) | (v84(constB30, bitIndex2) <=> v123(constB30, bitIndex2))),
% 8.48/6.07 inference(modus_ponens,[status(thm)],[12344, 12343])).
% 8.48/6.07 tff(12346,plain,
% 8.48/6.07 (v84(constB30, bitIndex2) <=> v123(constB30, bitIndex2)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[12345, 832, 12342])).
% 8.48/6.07 tff(12347,plain,
% 8.48/6.07 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB29, constB30)) | ![B: $i] : ((~less_3(B)) | (v123(constB30, B) <=> v121(constB29, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB29, constB30)) | ![B: $i] : ((~less_3(B)) | (v123(constB30, B) <=> v121(constB29, B))))),
% 8.48/6.07 inference(rewrite,[status(thm)],[])).
% 8.48/6.07 tff(12348,plain,
% 8.48/6.07 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB29, constB30)) | ![B: $i] : ((~less_3(B)) | (v123(constB30, B) <=> v121(constB29, B))))),
% 8.48/6.07 inference(quant_inst,[status(thm)],[])).
% 8.48/6.07 tff(12349,plain,
% 8.48/6.07 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB29, constB30)) | ![B: $i] : ((~less_3(B)) | (v123(constB30, B) <=> v121(constB29, B)))),
% 8.48/6.07 inference(modus_ponens,[status(thm)],[12348, 12347])).
% 8.48/6.07 tff(12350,plain,
% 8.48/6.07 (![B: $i] : ((~less_3(B)) | (v123(constB30, B) <=> v121(constB29, B)))),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[12349, 8385, 9924])).
% 8.48/6.07 tff(12351,plain,
% 8.48/6.07 (((~![B: $i] : ((~less_3(B)) | (v123(constB30, B) <=> v121(constB29, B)))) | ((~less_3(bitIndex2)) | (v123(constB30, bitIndex2) <=> v121(constB29, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB30, B) <=> v121(constB29, B)))) | (~less_3(bitIndex2)) | (v123(constB30, bitIndex2) <=> v121(constB29, bitIndex2)))),
% 8.48/6.07 inference(rewrite,[status(thm)],[])).
% 8.48/6.07 tff(12352,plain,
% 8.48/6.07 ((~![B: $i] : ((~less_3(B)) | (v123(constB30, B) <=> v121(constB29, B)))) | ((~less_3(bitIndex2)) | (v123(constB30, bitIndex2) <=> v121(constB29, bitIndex2)))),
% 8.48/6.07 inference(quant_inst,[status(thm)],[])).
% 8.48/6.07 tff(12353,plain,
% 8.48/6.07 ((~![B: $i] : ((~less_3(B)) | (v123(constB30, B) <=> v121(constB29, B)))) | (~less_3(bitIndex2)) | (v123(constB30, bitIndex2) <=> v121(constB29, bitIndex2))),
% 8.48/6.07 inference(modus_ponens,[status(thm)],[12352, 12351])).
% 8.48/6.07 tff(12354,plain,
% 8.48/6.07 (v123(constB30, bitIndex2) <=> v121(constB29, bitIndex2)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[12353, 832, 12350])).
% 8.48/6.07 tff(12355,plain,
% 8.48/6.07 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB29) | ![B: $i] : ((~less_3(B)) | (v121(constB29, B) <=> v124(constB29, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB29) | ![B: $i] : ((~less_3(B)) | (v121(constB29, B) <=> v124(constB29, B))))),
% 8.48/6.07 inference(rewrite,[status(thm)],[])).
% 8.48/6.07 tff(12356,plain,
% 8.48/6.07 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB29) | ![B: $i] : ((~less_3(B)) | (v121(constB29, B) <=> v124(constB29, B))))),
% 8.48/6.07 inference(quant_inst,[status(thm)],[])).
% 8.48/6.07 tff(12357,plain,
% 8.48/6.07 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB29) | ![B: $i] : ((~less_3(B)) | (v121(constB29, B) <=> v124(constB29, B)))),
% 8.48/6.07 inference(modus_ponens,[status(thm)],[12356, 12355])).
% 8.48/6.07 tff(12358,plain,
% 8.48/6.07 (![B: $i] : ((~less_3(B)) | (v121(constB29, B) <=> v124(constB29, B)))),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[12357, 9945, 12319])).
% 8.48/6.07 tff(12359,plain,
% 8.48/6.07 (((~![B: $i] : ((~less_3(B)) | (v121(constB29, B) <=> v124(constB29, B)))) | ((~less_3(bitIndex2)) | (v121(constB29, bitIndex2) <=> v124(constB29, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB29, B) <=> v124(constB29, B)))) | (~less_3(bitIndex2)) | (v121(constB29, bitIndex2) <=> v124(constB29, bitIndex2)))),
% 8.48/6.07 inference(rewrite,[status(thm)],[])).
% 8.48/6.07 tff(12360,plain,
% 8.48/6.07 ((~![B: $i] : ((~less_3(B)) | (v121(constB29, B) <=> v124(constB29, B)))) | ((~less_3(bitIndex2)) | (v121(constB29, bitIndex2) <=> v124(constB29, bitIndex2)))),
% 8.48/6.07 inference(quant_inst,[status(thm)],[])).
% 8.48/6.07 tff(12361,plain,
% 8.48/6.07 ((~![B: $i] : ((~less_3(B)) | (v121(constB29, B) <=> v124(constB29, B)))) | (~less_3(bitIndex2)) | (v121(constB29, bitIndex2) <=> v124(constB29, bitIndex2))),
% 8.48/6.07 inference(modus_ponens,[status(thm)],[12360, 12359])).
% 8.48/6.07 tff(12362,plain,
% 8.48/6.07 (v121(constB29, bitIndex2) <=> v124(constB29, bitIndex2)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[12361, 832, 12358])).
% 8.48/6.07 tff(12363,plain,
% 8.48/6.07 (((~![VarCurr: $i] : ((~v115(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b011(B))))) | ((~v115(constB29)) | ![B: $i] : ((~less_3(B)) | (v124(constB29, B) <=> b011(B))))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b011(B))))) | (~v115(constB29)) | ![B: $i] : ((~less_3(B)) | (v124(constB29, B) <=> b011(B))))),
% 8.48/6.07 inference(rewrite,[status(thm)],[])).
% 8.48/6.07 tff(12364,plain,
% 8.48/6.07 ((~![VarCurr: $i] : ((~v115(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b011(B))))) | ((~v115(constB29)) | ![B: $i] : ((~less_3(B)) | (v124(constB29, B) <=> b011(B))))),
% 8.48/6.07 inference(quant_inst,[status(thm)],[])).
% 8.48/6.07 tff(12365,plain,
% 8.48/6.07 ((~![VarCurr: $i] : ((~v115(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b011(B))))) | (~v115(constB29)) | ![B: $i] : ((~less_3(B)) | (v124(constB29, B) <=> b011(B)))),
% 8.48/6.07 inference(modus_ponens,[status(thm)],[12364, 12363])).
% 8.48/6.07 tff(12366,plain,
% 8.48/6.07 ((~v115(constB29)) | ![B: $i] : ((~less_3(B)) | (v124(constB29, B) <=> b011(B)))),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[12365, 10329])).
% 8.48/6.07 tff(12367,plain,
% 8.48/6.07 (![B: $i] : ((~less_3(B)) | (v124(constB29, B) <=> b011(B)))),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[12366, 12290])).
% 8.48/6.07 tff(12368,plain,
% 8.48/6.07 (((~![B: $i] : ((~less_3(B)) | (v124(constB29, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v124(constB29, bitIndex2) <=> b011(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB29, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v124(constB29, bitIndex2) <=> b011(bitIndex2)))),
% 8.48/6.07 inference(rewrite,[status(thm)],[])).
% 8.48/6.07 tff(12369,plain,
% 8.48/6.07 ((~![B: $i] : ((~less_3(B)) | (v124(constB29, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v124(constB29, bitIndex2) <=> b011(bitIndex2)))),
% 8.48/6.07 inference(quant_inst,[status(thm)],[])).
% 8.48/6.07 tff(12370,plain,
% 8.48/6.07 ((~![B: $i] : ((~less_3(B)) | (v124(constB29, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v124(constB29, bitIndex2) <=> b011(bitIndex2))),
% 8.48/6.07 inference(modus_ponens,[status(thm)],[12369, 12368])).
% 8.48/6.07 tff(12371,plain,
% 8.48/6.07 (v124(constB29, bitIndex2) <=> b011(bitIndex2)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[12370, 832, 12367])).
% 8.48/6.07 tff(12372,plain,
% 8.48/6.07 ((~(v124(constB29, bitIndex2) <=> b011(bitIndex2))) | (~v124(constB29, bitIndex2)) | b011(bitIndex2)),
% 8.48/6.07 inference(tautology,[status(thm)],[])).
% 8.48/6.07 tff(12373,plain,
% 8.48/6.07 ((~(v124(constB29, bitIndex2) <=> b011(bitIndex2))) | (~v124(constB29, bitIndex2))),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[12372, 10341])).
% 8.48/6.07 tff(12374,plain,
% 8.48/6.07 (~v124(constB29, bitIndex2)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[12373, 12371])).
% 8.48/6.07 tff(12375,plain,
% 8.48/6.07 ((~(v121(constB29, bitIndex2) <=> v124(constB29, bitIndex2))) | (~v121(constB29, bitIndex2)) | v124(constB29, bitIndex2)),
% 8.48/6.07 inference(tautology,[status(thm)],[])).
% 8.48/6.07 tff(12376,plain,
% 8.48/6.07 (~v121(constB29, bitIndex2)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[12375, 12374, 12362])).
% 8.48/6.07 tff(12377,plain,
% 8.48/6.07 ((~(v123(constB30, bitIndex2) <=> v121(constB29, bitIndex2))) | (~v123(constB30, bitIndex2)) | v121(constB29, bitIndex2)),
% 8.48/6.07 inference(tautology,[status(thm)],[])).
% 8.48/6.07 tff(12378,plain,
% 8.48/6.07 (~v123(constB30, bitIndex2)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[12377, 12376, 12354])).
% 8.48/6.07 tff(12379,plain,
% 8.48/6.07 ((~(v84(constB30, bitIndex2) <=> v123(constB30, bitIndex2))) | (~v84(constB30, bitIndex2)) | v123(constB30, bitIndex2)),
% 8.48/6.07 inference(tautology,[status(thm)],[])).
% 8.48/6.07 tff(12380,plain,
% 8.48/6.07 (~v84(constB30, bitIndex2)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[12379, 12378, 12346])).
% 8.48/6.07 tff(12381,plain,
% 8.48/6.07 ((~(v84(constB31, bitIndex2) <=> v84(constB30, bitIndex2))) | (~v84(constB31, bitIndex2)) | v84(constB30, bitIndex2)),
% 8.48/6.07 inference(tautology,[status(thm)],[])).
% 8.48/6.07 tff(12382,plain,
% 8.48/6.07 (~v84(constB31, bitIndex2)),
% 8.48/6.07 inference(unit_resolution,[status(thm)],[12381, 12380, 8382])).
% 8.48/6.07 tff(12383,plain,
% 8.48/6.07 (((~![B: $i] : ((~less_3(B)) | (v84(constB31, B) <=> v84(constB30, B)))) | ((~less_3(bitIndex0)) | (v84(constB31, bitIndex0) <=> v84(constB30, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB31, B) <=> v84(constB30, B)))) | (~less_3(bitIndex0)) | (v84(constB31, bitIndex0) <=> v84(constB30, bitIndex0)))),
% 8.48/6.07 inference(rewrite,[status(thm)],[])).
% 8.48/6.07 tff(12384,plain,
% 8.48/6.07 ((~![B: $i] : ((~less_3(B)) | (v84(constB31, B) <=> v84(constB30, B)))) | ((~less_3(bitIndex0)) | (v84(constB31, bitIndex0) <=> v84(constB30, bitIndex0)))),
% 8.48/6.07 inference(quant_inst,[status(thm)],[])).
% 8.48/6.07 tff(12385,plain,
% 8.48/6.07 ((~![B: $i] : ((~less_3(B)) | (v84(constB31, B) <=> v84(constB30, B)))) | (~less_3(bitIndex0)) | (v84(constB31, bitIndex0) <=> v84(constB30, bitIndex0))),
% 8.56/6.07 inference(modus_ponens,[status(thm)],[12384, 12383])).
% 8.56/6.07 tff(12386,plain,
% 8.56/6.07 (v84(constB31, bitIndex0) <=> v84(constB30, bitIndex0)),
% 8.56/6.07 inference(unit_resolution,[status(thm)],[12385, 9772, 8378])).
% 8.56/6.07 tff(12387,plain,
% 8.56/6.07 (((~![B: $i] : ((~less_3(B)) | (v84(constB30, B) <=> v123(constB30, B)))) | ((~less_3(bitIndex0)) | (v84(constB30, bitIndex0) <=> v123(constB30, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB30, B) <=> v123(constB30, B)))) | (~less_3(bitIndex0)) | (v84(constB30, bitIndex0) <=> v123(constB30, bitIndex0)))),
% 8.56/6.07 inference(rewrite,[status(thm)],[])).
% 8.56/6.07 tff(12388,plain,
% 8.56/6.07 ((~![B: $i] : ((~less_3(B)) | (v84(constB30, B) <=> v123(constB30, B)))) | ((~less_3(bitIndex0)) | (v84(constB30, bitIndex0) <=> v123(constB30, bitIndex0)))),
% 8.56/6.07 inference(quant_inst,[status(thm)],[])).
% 8.56/6.07 tff(12389,plain,
% 8.56/6.07 ((~![B: $i] : ((~less_3(B)) | (v84(constB30, B) <=> v123(constB30, B)))) | (~less_3(bitIndex0)) | (v84(constB30, bitIndex0) <=> v123(constB30, bitIndex0))),
% 8.56/6.07 inference(modus_ponens,[status(thm)],[12388, 12387])).
% 8.56/6.07 tff(12390,plain,
% 8.56/6.07 (v84(constB30, bitIndex0) <=> v123(constB30, bitIndex0)),
% 8.56/6.07 inference(unit_resolution,[status(thm)],[12389, 9772, 12342])).
% 8.56/6.07 tff(12391,plain,
% 8.56/6.07 (((~![B: $i] : ((~less_3(B)) | (v123(constB30, B) <=> v121(constB29, B)))) | ((~less_3(bitIndex0)) | (v123(constB30, bitIndex0) <=> v121(constB29, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB30, B) <=> v121(constB29, B)))) | (~less_3(bitIndex0)) | (v123(constB30, bitIndex0) <=> v121(constB29, bitIndex0)))),
% 8.56/6.07 inference(rewrite,[status(thm)],[])).
% 8.56/6.07 tff(12392,plain,
% 8.56/6.07 ((~![B: $i] : ((~less_3(B)) | (v123(constB30, B) <=> v121(constB29, B)))) | ((~less_3(bitIndex0)) | (v123(constB30, bitIndex0) <=> v121(constB29, bitIndex0)))),
% 8.56/6.07 inference(quant_inst,[status(thm)],[])).
% 8.56/6.07 tff(12393,plain,
% 8.56/6.07 ((~![B: $i] : ((~less_3(B)) | (v123(constB30, B) <=> v121(constB29, B)))) | (~less_3(bitIndex0)) | (v123(constB30, bitIndex0) <=> v121(constB29, bitIndex0))),
% 8.56/6.07 inference(modus_ponens,[status(thm)],[12392, 12391])).
% 8.56/6.07 tff(12394,plain,
% 8.56/6.07 (v123(constB30, bitIndex0) <=> v121(constB29, bitIndex0)),
% 8.56/6.07 inference(unit_resolution,[status(thm)],[12393, 9772, 12350])).
% 8.56/6.07 tff(12395,plain,
% 8.56/6.07 (((~![B: $i] : ((~less_3(B)) | (v121(constB29, B) <=> v124(constB29, B)))) | ((~less_3(bitIndex0)) | (v121(constB29, bitIndex0) <=> v124(constB29, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB29, B) <=> v124(constB29, B)))) | (~less_3(bitIndex0)) | (v121(constB29, bitIndex0) <=> v124(constB29, bitIndex0)))),
% 8.56/6.07 inference(rewrite,[status(thm)],[])).
% 8.56/6.07 tff(12396,plain,
% 8.56/6.07 ((~![B: $i] : ((~less_3(B)) | (v121(constB29, B) <=> v124(constB29, B)))) | ((~less_3(bitIndex0)) | (v121(constB29, bitIndex0) <=> v124(constB29, bitIndex0)))),
% 8.56/6.07 inference(quant_inst,[status(thm)],[])).
% 8.56/6.07 tff(12397,plain,
% 8.56/6.07 ((~![B: $i] : ((~less_3(B)) | (v121(constB29, B) <=> v124(constB29, B)))) | (~less_3(bitIndex0)) | (v121(constB29, bitIndex0) <=> v124(constB29, bitIndex0))),
% 8.56/6.07 inference(modus_ponens,[status(thm)],[12396, 12395])).
% 8.56/6.07 tff(12398,plain,
% 8.56/6.07 (v121(constB29, bitIndex0) <=> v124(constB29, bitIndex0)),
% 8.56/6.07 inference(unit_resolution,[status(thm)],[12397, 9772, 12358])).
% 8.56/6.07 tff(12399,plain,
% 8.56/6.07 (((~![B: $i] : ((~less_3(B)) | (v124(constB29, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v124(constB29, bitIndex0) <=> b011(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB29, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v124(constB29, bitIndex0) <=> b011(bitIndex0)))),
% 8.56/6.07 inference(rewrite,[status(thm)],[])).
% 8.56/6.07 tff(12400,plain,
% 8.56/6.07 ((~![B: $i] : ((~less_3(B)) | (v124(constB29, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v124(constB29, bitIndex0) <=> b011(bitIndex0)))),
% 8.56/6.07 inference(quant_inst,[status(thm)],[])).
% 8.56/6.07 tff(12401,plain,
% 8.56/6.07 ((~![B: $i] : ((~less_3(B)) | (v124(constB29, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v124(constB29, bitIndex0) <=> b011(bitIndex0))),
% 8.56/6.07 inference(modus_ponens,[status(thm)],[12400, 12399])).
% 8.56/6.07 tff(12402,plain,
% 8.56/6.07 (v124(constB29, bitIndex0) <=> b011(bitIndex0)),
% 8.56/6.07 inference(unit_resolution,[status(thm)],[12401, 9772, 12367])).
% 8.56/6.07 tff(12403,plain,
% 8.56/6.07 ((~(v124(constB29, bitIndex0) <=> b011(bitIndex0))) | v124(constB29, bitIndex0) | (~b011(bitIndex0))),
% 8.56/6.07 inference(tautology,[status(thm)],[])).
% 8.56/6.07 tff(12404,plain,
% 8.56/6.07 ((~(v124(constB29, bitIndex0) <=> b011(bitIndex0))) | v124(constB29, bitIndex0)),
% 8.56/6.07 inference(unit_resolution,[status(thm)],[12403, 10375])).
% 8.56/6.07 tff(12405,plain,
% 8.56/6.07 (v124(constB29, bitIndex0)),
% 8.56/6.07 inference(unit_resolution,[status(thm)],[12404, 12402])).
% 8.56/6.07 tff(12406,plain,
% 8.56/6.07 ((~(v121(constB29, bitIndex0) <=> v124(constB29, bitIndex0))) | v121(constB29, bitIndex0) | (~v124(constB29, bitIndex0))),
% 8.56/6.07 inference(tautology,[status(thm)],[])).
% 8.56/6.07 tff(12407,plain,
% 8.56/6.07 (v121(constB29, bitIndex0)),
% 8.56/6.07 inference(unit_resolution,[status(thm)],[12406, 12405, 12398])).
% 8.56/6.07 tff(12408,plain,
% 8.56/6.07 ((~(v123(constB30, bitIndex0) <=> v121(constB29, bitIndex0))) | v123(constB30, bitIndex0) | (~v121(constB29, bitIndex0))),
% 8.56/6.07 inference(tautology,[status(thm)],[])).
% 8.56/6.07 tff(12409,plain,
% 8.56/6.07 (v123(constB30, bitIndex0)),
% 8.56/6.07 inference(unit_resolution,[status(thm)],[12408, 12407, 12394])).
% 8.56/6.07 tff(12410,plain,
% 8.56/6.07 ((~(v84(constB30, bitIndex0) <=> v123(constB30, bitIndex0))) | v84(constB30, bitIndex0) | (~v123(constB30, bitIndex0))),
% 8.56/6.07 inference(tautology,[status(thm)],[])).
% 8.56/6.07 tff(12411,plain,
% 8.56/6.07 (v84(constB30, bitIndex0)),
% 8.56/6.07 inference(unit_resolution,[status(thm)],[12410, 12409, 12390])).
% 8.56/6.07 tff(12412,plain,
% 8.56/6.07 ((~(v84(constB31, bitIndex0) <=> v84(constB30, bitIndex0))) | v84(constB31, bitIndex0) | (~v84(constB30, bitIndex0))),
% 8.56/6.07 inference(tautology,[status(thm)],[])).
% 8.56/6.07 tff(12413,plain,
% 8.56/6.07 (v84(constB31, bitIndex0)),
% 8.56/6.07 inference(unit_resolution,[status(thm)],[12412, 12411, 12386])).
% 8.56/6.07 tff(12414,plain,
% 8.56/6.07 (((~![B: $i] : ((~less_3(B)) | (v84(constB31, B) <=> v84(constB30, B)))) | ((~less_3(bitIndex1)) | (v84(constB31, bitIndex1) <=> v84(constB30, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB31, B) <=> v84(constB30, B)))) | (~less_3(bitIndex1)) | (v84(constB31, bitIndex1) <=> v84(constB30, bitIndex1)))),
% 8.56/6.07 inference(rewrite,[status(thm)],[])).
% 8.56/6.07 tff(12415,plain,
% 8.56/6.07 ((~![B: $i] : ((~less_3(B)) | (v84(constB31, B) <=> v84(constB30, B)))) | ((~less_3(bitIndex1)) | (v84(constB31, bitIndex1) <=> v84(constB30, bitIndex1)))),
% 8.56/6.07 inference(quant_inst,[status(thm)],[])).
% 8.56/6.07 tff(12416,plain,
% 8.56/6.07 ((~![B: $i] : ((~less_3(B)) | (v84(constB31, B) <=> v84(constB30, B)))) | (~less_3(bitIndex1)) | (v84(constB31, bitIndex1) <=> v84(constB30, bitIndex1))),
% 8.56/6.07 inference(modus_ponens,[status(thm)],[12415, 12414])).
% 8.56/6.07 tff(12417,plain,
% 8.56/6.07 (v84(constB31, bitIndex1) <=> v84(constB30, bitIndex1)),
% 8.56/6.07 inference(unit_resolution,[status(thm)],[12416, 9785, 8378])).
% 8.56/6.07 tff(12418,plain,
% 8.56/6.07 (((~![B: $i] : ((~less_3(B)) | (v84(constB30, B) <=> v123(constB30, B)))) | ((~less_3(bitIndex1)) | (v84(constB30, bitIndex1) <=> v123(constB30, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB30, B) <=> v123(constB30, B)))) | (~less_3(bitIndex1)) | (v84(constB30, bitIndex1) <=> v123(constB30, bitIndex1)))),
% 8.56/6.07 inference(rewrite,[status(thm)],[])).
% 8.56/6.07 tff(12419,plain,
% 8.56/6.07 ((~![B: $i] : ((~less_3(B)) | (v84(constB30, B) <=> v123(constB30, B)))) | ((~less_3(bitIndex1)) | (v84(constB30, bitIndex1) <=> v123(constB30, bitIndex1)))),
% 8.56/6.07 inference(quant_inst,[status(thm)],[])).
% 8.56/6.07 tff(12420,plain,
% 8.56/6.07 ((~![B: $i] : ((~less_3(B)) | (v84(constB30, B) <=> v123(constB30, B)))) | (~less_3(bitIndex1)) | (v84(constB30, bitIndex1) <=> v123(constB30, bitIndex1))),
% 8.56/6.07 inference(modus_ponens,[status(thm)],[12419, 12418])).
% 8.56/6.07 tff(12421,plain,
% 8.56/6.07 (v84(constB30, bitIndex1) <=> v123(constB30, bitIndex1)),
% 8.56/6.07 inference(unit_resolution,[status(thm)],[12420, 9785, 12342])).
% 8.56/6.07 tff(12422,plain,
% 8.56/6.07 (((~![B: $i] : ((~less_3(B)) | (v123(constB30, B) <=> v121(constB29, B)))) | ((~less_3(bitIndex1)) | (v123(constB30, bitIndex1) <=> v121(constB29, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB30, B) <=> v121(constB29, B)))) | (~less_3(bitIndex1)) | (v123(constB30, bitIndex1) <=> v121(constB29, bitIndex1)))),
% 8.56/6.07 inference(rewrite,[status(thm)],[])).
% 8.56/6.07 tff(12423,plain,
% 8.56/6.07 ((~![B: $i] : ((~less_3(B)) | (v123(constB30, B) <=> v121(constB29, B)))) | ((~less_3(bitIndex1)) | (v123(constB30, bitIndex1) <=> v121(constB29, bitIndex1)))),
% 8.56/6.07 inference(quant_inst,[status(thm)],[])).
% 8.56/6.07 tff(12424,plain,
% 8.56/6.07 ((~![B: $i] : ((~less_3(B)) | (v123(constB30, B) <=> v121(constB29, B)))) | (~less_3(bitIndex1)) | (v123(constB30, bitIndex1) <=> v121(constB29, bitIndex1))),
% 8.56/6.07 inference(modus_ponens,[status(thm)],[12423, 12422])).
% 8.56/6.07 tff(12425,plain,
% 8.56/6.07 (v123(constB30, bitIndex1) <=> v121(constB29, bitIndex1)),
% 8.56/6.07 inference(unit_resolution,[status(thm)],[12424, 9785, 12350])).
% 8.56/6.07 tff(12426,plain,
% 8.56/6.07 (((~![B: $i] : ((~less_3(B)) | (v121(constB29, B) <=> v124(constB29, B)))) | ((~less_3(bitIndex1)) | (v121(constB29, bitIndex1) <=> v124(constB29, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB29, B) <=> v124(constB29, B)))) | (~less_3(bitIndex1)) | (v121(constB29, bitIndex1) <=> v124(constB29, bitIndex1)))),
% 8.56/6.07 inference(rewrite,[status(thm)],[])).
% 8.56/6.07 tff(12427,plain,
% 8.56/6.07 ((~![B: $i] : ((~less_3(B)) | (v121(constB29, B) <=> v124(constB29, B)))) | ((~less_3(bitIndex1)) | (v121(constB29, bitIndex1) <=> v124(constB29, bitIndex1)))),
% 8.56/6.07 inference(quant_inst,[status(thm)],[])).
% 8.56/6.07 tff(12428,plain,
% 8.56/6.07 ((~![B: $i] : ((~less_3(B)) | (v121(constB29, B) <=> v124(constB29, B)))) | (~less_3(bitIndex1)) | (v121(constB29, bitIndex1) <=> v124(constB29, bitIndex1))),
% 8.56/6.07 inference(modus_ponens,[status(thm)],[12427, 12426])).
% 8.56/6.07 tff(12429,plain,
% 8.56/6.07 (v121(constB29, bitIndex1) <=> v124(constB29, bitIndex1)),
% 8.56/6.07 inference(unit_resolution,[status(thm)],[12428, 9785, 12358])).
% 8.56/6.07 tff(12430,plain,
% 8.56/6.07 (((~![B: $i] : ((~less_3(B)) | (v124(constB29, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v124(constB29, bitIndex1) <=> b011(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB29, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v124(constB29, bitIndex1) <=> b011(bitIndex1)))),
% 8.56/6.07 inference(rewrite,[status(thm)],[])).
% 8.56/6.07 tff(12431,plain,
% 8.56/6.07 ((~![B: $i] : ((~less_3(B)) | (v124(constB29, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v124(constB29, bitIndex1) <=> b011(bitIndex1)))),
% 8.56/6.07 inference(quant_inst,[status(thm)],[])).
% 8.56/6.07 tff(12432,plain,
% 8.56/6.07 ((~![B: $i] : ((~less_3(B)) | (v124(constB29, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v124(constB29, bitIndex1) <=> b011(bitIndex1))),
% 8.56/6.07 inference(modus_ponens,[status(thm)],[12431, 12430])).
% 8.56/6.07 tff(12433,plain,
% 8.56/6.07 (v124(constB29, bitIndex1) <=> b011(bitIndex1)),
% 8.56/6.07 inference(unit_resolution,[status(thm)],[12432, 9785, 12367])).
% 8.56/6.07 tff(12434,plain,
% 8.56/6.07 ((~(v124(constB29, bitIndex1) <=> b011(bitIndex1))) | v124(constB29, bitIndex1) | (~b011(bitIndex1))),
% 8.56/6.07 inference(tautology,[status(thm)],[])).
% 8.56/6.07 tff(12435,plain,
% 8.56/6.07 ((~(v124(constB29, bitIndex1) <=> b011(bitIndex1))) | v124(constB29, bitIndex1)),
% 8.56/6.07 inference(unit_resolution,[status(thm)],[12434, 10409])).
% 8.56/6.07 tff(12436,plain,
% 8.56/6.07 (v124(constB29, bitIndex1)),
% 8.56/6.07 inference(unit_resolution,[status(thm)],[12435, 12433])).
% 8.56/6.07 tff(12437,plain,
% 8.56/6.07 ((~(v121(constB29, bitIndex1) <=> v124(constB29, bitIndex1))) | v121(constB29, bitIndex1) | (~v124(constB29, bitIndex1))),
% 8.56/6.07 inference(tautology,[status(thm)],[])).
% 8.56/6.07 tff(12438,plain,
% 8.56/6.07 (v121(constB29, bitIndex1)),
% 8.56/6.07 inference(unit_resolution,[status(thm)],[12437, 12436, 12429])).
% 8.56/6.07 tff(12439,plain,
% 8.56/6.07 ((~(v123(constB30, bitIndex1) <=> v121(constB29, bitIndex1))) | v123(constB30, bitIndex1) | (~v121(constB29, bitIndex1))),
% 8.56/6.07 inference(tautology,[status(thm)],[])).
% 8.56/6.07 tff(12440,plain,
% 8.56/6.07 (v123(constB30, bitIndex1)),
% 8.56/6.07 inference(unit_resolution,[status(thm)],[12439, 12438, 12425])).
% 8.56/6.07 tff(12441,plain,
% 8.56/6.07 ((~(v84(constB30, bitIndex1) <=> v123(constB30, bitIndex1))) | v84(constB30, bitIndex1) | (~v123(constB30, bitIndex1))),
% 8.56/6.07 inference(tautology,[status(thm)],[])).
% 8.56/6.07 tff(12442,plain,
% 8.56/6.07 (v84(constB30, bitIndex1)),
% 8.56/6.07 inference(unit_resolution,[status(thm)],[12441, 12440, 12421])).
% 8.56/6.07 tff(12443,plain,
% 8.56/6.07 ((~(v84(constB31, bitIndex1) <=> v84(constB30, bitIndex1))) | v84(constB31, bitIndex1) | (~v84(constB30, bitIndex1))),
% 8.56/6.07 inference(tautology,[status(thm)],[])).
% 8.56/6.07 tff(12444,plain,
% 8.56/6.07 (v84(constB31, bitIndex1)),
% 8.56/6.07 inference(unit_resolution,[status(thm)],[12443, 12442, 12417])).
% 8.56/6.07 tff(12445,plain,
% 8.56/6.07 ((~(v84(constB31, bitIndex2) | (~v84(constB31, bitIndex1)) | (~v84(constB31, bitIndex0)))) | v84(constB31, bitIndex2) | (~v84(constB31, bitIndex1)) | (~v84(constB31, bitIndex0))),
% 8.56/6.07 inference(tautology,[status(thm)],[])).
% 8.56/6.07 tff(12446,plain,
% 8.56/6.07 (~(v84(constB31, bitIndex2) | (~v84(constB31, bitIndex1)) | (~v84(constB31, bitIndex0)))),
% 8.56/6.07 inference(unit_resolution,[status(thm)],[12445, 12444, 12413, 12382])).
% 8.56/6.07 tff(12447,plain,
% 8.56/6.07 ((~(v116(constB31) <=> (~(v84(constB31, bitIndex2) | (~v84(constB31, bitIndex1)) | (~v84(constB31, bitIndex0)))))) | v116(constB31) | (v84(constB31, bitIndex2) | (~v84(constB31, bitIndex1)) | (~v84(constB31, bitIndex0)))),
% 8.56/6.07 inference(tautology,[status(thm)],[])).
% 8.56/6.07 tff(12448,plain,
% 8.56/6.07 (v116(constB31)),
% 8.56/6.07 inference(unit_resolution,[status(thm)],[12447, 12446, 8350])).
% 8.56/6.07 tff(12449,plain,
% 8.56/6.07 ((v111(constB31) | v116(constB31)) | (~v116(constB31))),
% 8.56/6.07 inference(tautology,[status(thm)],[])).
% 8.56/6.07 tff(12450,plain,
% 8.56/6.07 (v111(constB31) | v116(constB31)),
% 8.56/6.07 inference(unit_resolution,[status(thm)],[12449, 12448])).
% 8.56/6.07 tff(12451,plain,
% 8.56/6.07 ((~(v110(constB31) <=> (v111(constB31) | v116(constB31)))) | v110(constB31) | (~(v111(constB31) | v116(constB31)))),
% 8.56/6.07 inference(tautology,[status(thm)],[])).
% 8.56/6.07 tff(12452,plain,
% 8.56/6.07 (v110(constB31)),
% 8.56/6.07 inference(unit_resolution,[status(thm)],[12451, 12450, 8348])).
% 8.56/6.07 tff(12453,plain,
% 8.56/6.07 ((v110(constB31) | v117(constB31)) | (~v110(constB31))),
% 8.56/6.07 inference(tautology,[status(thm)],[])).
% 8.56/6.07 tff(12454,plain,
% 8.56/6.07 (v110(constB31) | v117(constB31)),
% 8.56/6.07 inference(unit_resolution,[status(thm)],[12453, 12452])).
% 8.56/6.07 tff(12455,plain,
% 8.56/6.07 ((~(v109(constB31) <=> (v110(constB31) | v117(constB31)))) | v109(constB31) | (~(v110(constB31) | v117(constB31)))),
% 8.56/6.07 inference(tautology,[status(thm)],[])).
% 8.56/6.07 tff(12456,plain,
% 8.56/6.07 (v109(constB31)),
% 8.56/6.07 inference(unit_resolution,[status(thm)],[12455, 12454, 8346])).
% 8.56/6.07 tff(12457,plain,
% 8.56/6.07 ((v109(constB31) | v118(constB31)) | (~v109(constB31))),
% 8.56/6.07 inference(tautology,[status(thm)],[])).
% 8.56/6.07 tff(12458,plain,
% 8.56/6.07 (v109(constB31) | v118(constB31)),
% 8.56/6.07 inference(unit_resolution,[status(thm)],[12457, 12456])).
% 8.56/6.07 tff(12459,plain,
% 8.56/6.07 ((~(v108(constB31) <=> (v109(constB31) | v118(constB31)))) | v108(constB31) | (~(v109(constB31) | v118(constB31)))),
% 8.56/6.07 inference(tautology,[status(thm)],[])).
% 8.56/6.07 tff(12460,plain,
% 8.56/6.07 (v108(constB31)),
% 8.56/6.07 inference(unit_resolution,[status(thm)],[12459, 12458, 8344])).
% 8.56/6.07 tff(12461,plain,
% 8.56/6.07 ((v108(constB31) | v119(constB31)) | (~v108(constB31))),
% 8.56/6.07 inference(tautology,[status(thm)],[])).
% 8.56/6.07 tff(12462,plain,
% 8.56/6.07 (v108(constB31) | v119(constB31)),
% 8.56/6.07 inference(unit_resolution,[status(thm)],[12461, 12460])).
% 8.56/6.07 tff(12463,plain,
% 8.56/6.07 ((~(v107(constB31) <=> (v108(constB31) | v119(constB31)))) | v107(constB31) | (~(v108(constB31) | v119(constB31)))),
% 8.56/6.07 inference(tautology,[status(thm)],[])).
% 8.56/6.07 tff(12464,plain,
% 8.56/6.07 (v107(constB31)),
% 8.56/6.07 inference(unit_resolution,[status(thm)],[12463, 12462, 8342])).
% 8.56/6.07 tff(12465,plain,
% 8.56/6.07 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB31)) <=> v105(constB31))),
% 8.56/6.08 inference(quant_inst,[status(thm)],[])).
% 8.56/6.08 tff(12466,plain,
% 8.56/6.08 ((~v120(constB31)) <=> v105(constB31)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[12465, 9842])).
% 8.56/6.08 tff(12467,plain,
% 8.56/6.08 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB31) <=> v26(constB31))),
% 8.56/6.08 inference(quant_inst,[status(thm)],[])).
% 8.56/6.08 tff(12468,plain,
% 8.56/6.08 (v105(constB31) <=> v26(constB31)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[12467, 9854])).
% 8.56/6.08 tff(12469,plain,
% 8.56/6.08 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB31))),
% 8.56/6.08 inference(quant_inst,[status(thm)],[])).
% 8.56/6.08 tff(12470,plain,
% 8.56/6.08 (~v26(constB31)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[12469, 9866])).
% 8.56/6.08 tff(12471,plain,
% 8.56/6.08 ((~(v105(constB31) <=> v26(constB31))) | (~v105(constB31)) | v26(constB31)),
% 8.56/6.08 inference(tautology,[status(thm)],[])).
% 8.56/6.08 tff(12472,plain,
% 8.56/6.08 ((~(v105(constB31) <=> v26(constB31))) | (~v105(constB31))),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[12471, 12470])).
% 8.56/6.08 tff(12473,plain,
% 8.56/6.08 (~v105(constB31)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[12472, 12468])).
% 8.56/6.08 tff(12474,plain,
% 8.56/6.08 ((~((~v120(constB31)) <=> v105(constB31))) | v120(constB31) | v105(constB31)),
% 8.56/6.08 inference(tautology,[status(thm)],[])).
% 8.56/6.08 tff(12475,plain,
% 8.56/6.08 ((~((~v120(constB31)) <=> v105(constB31))) | v120(constB31)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[12474, 12473])).
% 8.56/6.08 tff(12476,plain,
% 8.56/6.08 (v120(constB31)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[12475, 12466])).
% 8.56/6.08 tff(12477,plain,
% 8.56/6.08 ((~((~v107(constB31)) | (~v120(constB31)))) | (~v107(constB31)) | (~v120(constB31))),
% 8.56/6.08 inference(tautology,[status(thm)],[])).
% 8.56/6.08 tff(12478,plain,
% 8.56/6.08 ((~((~v107(constB31)) | (~v120(constB31)))) | (~v107(constB31))),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[12477, 12476])).
% 8.56/6.08 tff(12479,plain,
% 8.56/6.08 (~((~v107(constB31)) | (~v120(constB31)))),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[12478, 12464])).
% 8.56/6.08 tff(12480,plain,
% 8.56/6.08 ((~(v106(constB31) <=> (~((~v107(constB31)) | (~v120(constB31)))))) | v106(constB31) | ((~v107(constB31)) | (~v120(constB31)))),
% 8.56/6.08 inference(tautology,[status(thm)],[])).
% 8.56/6.08 tff(12481,plain,
% 8.56/6.08 (v106(constB31)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[12480, 12479, 8340])).
% 8.56/6.08 tff(12482,plain,
% 8.56/6.08 ((v105(constB31) | v106(constB31)) | (~v106(constB31))),
% 8.56/6.08 inference(tautology,[status(thm)],[])).
% 8.56/6.08 tff(12483,plain,
% 8.56/6.08 (v105(constB31) | v106(constB31)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[12482, 12481])).
% 8.56/6.08 tff(12484,plain,
% 8.56/6.08 ((~(v102(constB31) <=> (v105(constB31) | v106(constB31)))) | v102(constB31) | (~(v105(constB31) | v106(constB31)))),
% 8.56/6.08 inference(tautology,[status(thm)],[])).
% 8.56/6.08 tff(12485,plain,
% 8.56/6.08 (v102(constB31)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[12484, 12483, 8338])).
% 8.56/6.08 tff(12486,plain,
% 8.56/6.08 ((~(v104(constB32) <=> v102(constB31))) | v104(constB32) | (~v102(constB31))),
% 8.56/6.08 inference(tautology,[status(thm)],[])).
% 8.56/6.08 tff(12487,plain,
% 8.56/6.08 (v104(constB32)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[12486, 12485, 8336])).
% 8.56/6.08 tff(12488,plain,
% 8.56/6.08 ((~((~v104(constB32)) | (~v95(constB32)))) | (~v104(constB32)) | (~v95(constB32))),
% 8.56/6.08 inference(tautology,[status(thm)],[])).
% 8.56/6.08 tff(12489,plain,
% 8.56/6.08 (~((~v104(constB32)) | (~v95(constB32)))),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[12488, 12487, 8332])).
% 8.56/6.08 tff(12490,plain,
% 8.56/6.08 ((~(v94(constB32) <=> (~((~v104(constB32)) | (~v95(constB32)))))) | v94(constB32) | ((~v104(constB32)) | (~v95(constB32)))),
% 8.56/6.08 inference(tautology,[status(thm)],[])).
% 8.56/6.08 tff(12491,plain,
% 8.56/6.08 (v94(constB32)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[12490, 12489, 8301])).
% 8.56/6.08 tff(12492,plain,
% 8.56/6.08 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB32)) | ![B: $i] : ((~less_3(B)) | (v84(constB32, B) <=> v123(constB32, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB32)) | ![B: $i] : ((~less_3(B)) | (v84(constB32, B) <=> v123(constB32, B))))),
% 8.56/6.08 inference(rewrite,[status(thm)],[])).
% 8.56/6.08 tff(12493,plain,
% 8.56/6.08 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB32)) | ![B: $i] : ((~less_3(B)) | (v84(constB32, B) <=> v123(constB32, B))))),
% 8.56/6.08 inference(quant_inst,[status(thm)],[])).
% 8.56/6.08 tff(12494,plain,
% 8.56/6.08 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB32)) | ![B: $i] : ((~less_3(B)) | (v84(constB32, B) <=> v123(constB32, B)))),
% 8.56/6.08 inference(modus_ponens,[status(thm)],[12493, 12492])).
% 8.56/6.08 tff(12495,plain,
% 8.56/6.08 ((~v94(constB32)) | ![B: $i] : ((~less_3(B)) | (v84(constB32, B) <=> v123(constB32, B)))),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[12494, 9902])).
% 8.56/6.08 tff(12496,plain,
% 8.56/6.08 (![B: $i] : ((~less_3(B)) | (v84(constB32, B) <=> v123(constB32, B)))),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[12495, 12491])).
% 8.56/6.08 tff(12497,plain,
% 8.56/6.08 (((~![B: $i] : ((~less_3(B)) | (v84(constB32, B) <=> v123(constB32, B)))) | ((~less_3(bitIndex2)) | (v84(constB32, bitIndex2) <=> v123(constB32, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB32, B) <=> v123(constB32, B)))) | (~less_3(bitIndex2)) | (v84(constB32, bitIndex2) <=> v123(constB32, bitIndex2)))),
% 8.56/6.08 inference(rewrite,[status(thm)],[])).
% 8.56/6.08 tff(12498,plain,
% 8.56/6.08 ((~![B: $i] : ((~less_3(B)) | (v84(constB32, B) <=> v123(constB32, B)))) | ((~less_3(bitIndex2)) | (v84(constB32, bitIndex2) <=> v123(constB32, bitIndex2)))),
% 8.56/6.08 inference(quant_inst,[status(thm)],[])).
% 8.56/6.08 tff(12499,plain,
% 8.56/6.08 ((~![B: $i] : ((~less_3(B)) | (v84(constB32, B) <=> v123(constB32, B)))) | (~less_3(bitIndex2)) | (v84(constB32, bitIndex2) <=> v123(constB32, bitIndex2))),
% 8.56/6.08 inference(modus_ponens,[status(thm)],[12498, 12497])).
% 8.56/6.08 tff(12500,plain,
% 8.56/6.08 (v84(constB32, bitIndex2) <=> v123(constB32, bitIndex2)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[12499, 832, 12496])).
% 8.56/6.08 tff(12501,plain,
% 8.56/6.08 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB31, constB32)) | ![B: $i] : ((~less_3(B)) | (v123(constB32, B) <=> v121(constB31, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB31, constB32)) | ![B: $i] : ((~less_3(B)) | (v123(constB32, B) <=> v121(constB31, B))))),
% 8.56/6.08 inference(rewrite,[status(thm)],[])).
% 8.56/6.08 tff(12502,plain,
% 8.56/6.08 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB31, constB32)) | ![B: $i] : ((~less_3(B)) | (v123(constB32, B) <=> v121(constB31, B))))),
% 8.56/6.08 inference(quant_inst,[status(thm)],[])).
% 8.56/6.08 tff(12503,plain,
% 8.56/6.08 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB31, constB32)) | ![B: $i] : ((~less_3(B)) | (v123(constB32, B) <=> v121(constB31, B)))),
% 8.56/6.08 inference(modus_ponens,[status(thm)],[12502, 12501])).
% 8.56/6.08 tff(12504,plain,
% 8.56/6.08 (![B: $i] : ((~less_3(B)) | (v123(constB32, B) <=> v121(constB31, B)))),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[12503, 8297, 9924])).
% 8.56/6.08 tff(12505,plain,
% 8.56/6.08 (((~![B: $i] : ((~less_3(B)) | (v123(constB32, B) <=> v121(constB31, B)))) | ((~less_3(bitIndex2)) | (v123(constB32, bitIndex2) <=> v121(constB31, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB32, B) <=> v121(constB31, B)))) | (~less_3(bitIndex2)) | (v123(constB32, bitIndex2) <=> v121(constB31, bitIndex2)))),
% 8.56/6.08 inference(rewrite,[status(thm)],[])).
% 8.56/6.08 tff(12506,plain,
% 8.56/6.08 ((~![B: $i] : ((~less_3(B)) | (v123(constB32, B) <=> v121(constB31, B)))) | ((~less_3(bitIndex2)) | (v123(constB32, bitIndex2) <=> v121(constB31, bitIndex2)))),
% 8.56/6.08 inference(quant_inst,[status(thm)],[])).
% 8.56/6.08 tff(12507,plain,
% 8.56/6.08 ((~![B: $i] : ((~less_3(B)) | (v123(constB32, B) <=> v121(constB31, B)))) | (~less_3(bitIndex2)) | (v123(constB32, bitIndex2) <=> v121(constB31, bitIndex2))),
% 8.56/6.08 inference(modus_ponens,[status(thm)],[12506, 12505])).
% 8.56/6.08 tff(12508,plain,
% 8.56/6.08 (v123(constB32, bitIndex2) <=> v121(constB31, bitIndex2)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[12507, 832, 12504])).
% 8.56/6.08 tff(12509,plain,
% 8.56/6.08 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB31) | ![B: $i] : ((~less_3(B)) | (v121(constB31, B) <=> v124(constB31, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB31) | ![B: $i] : ((~less_3(B)) | (v121(constB31, B) <=> v124(constB31, B))))),
% 8.56/6.08 inference(rewrite,[status(thm)],[])).
% 8.56/6.08 tff(12510,plain,
% 8.56/6.08 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB31) | ![B: $i] : ((~less_3(B)) | (v121(constB31, B) <=> v124(constB31, B))))),
% 8.56/6.08 inference(quant_inst,[status(thm)],[])).
% 8.56/6.08 tff(12511,plain,
% 8.56/6.08 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB31) | ![B: $i] : ((~less_3(B)) | (v121(constB31, B) <=> v124(constB31, B)))),
% 8.56/6.08 inference(modus_ponens,[status(thm)],[12510, 12509])).
% 8.56/6.08 tff(12512,plain,
% 8.56/6.08 (![B: $i] : ((~less_3(B)) | (v121(constB31, B) <=> v124(constB31, B)))),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[12511, 9945, 12473])).
% 8.56/6.08 tff(12513,plain,
% 8.56/6.08 (((~![B: $i] : ((~less_3(B)) | (v121(constB31, B) <=> v124(constB31, B)))) | ((~less_3(bitIndex2)) | (v121(constB31, bitIndex2) <=> v124(constB31, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB31, B) <=> v124(constB31, B)))) | (~less_3(bitIndex2)) | (v121(constB31, bitIndex2) <=> v124(constB31, bitIndex2)))),
% 8.56/6.08 inference(rewrite,[status(thm)],[])).
% 8.56/6.08 tff(12514,plain,
% 8.56/6.08 ((~![B: $i] : ((~less_3(B)) | (v121(constB31, B) <=> v124(constB31, B)))) | ((~less_3(bitIndex2)) | (v121(constB31, bitIndex2) <=> v124(constB31, bitIndex2)))),
% 8.56/6.08 inference(quant_inst,[status(thm)],[])).
% 8.56/6.08 tff(12515,plain,
% 8.56/6.08 ((~![B: $i] : ((~less_3(B)) | (v121(constB31, B) <=> v124(constB31, B)))) | (~less_3(bitIndex2)) | (v121(constB31, bitIndex2) <=> v124(constB31, bitIndex2))),
% 8.56/6.08 inference(modus_ponens,[status(thm)],[12514, 12513])).
% 8.56/6.08 tff(12516,plain,
% 8.56/6.08 (v121(constB31, bitIndex2) <=> v124(constB31, bitIndex2)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[12515, 832, 12512])).
% 8.56/6.08 tff(12517,plain,
% 8.56/6.08 (((~![VarCurr: $i] : ((~v116(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b100(B))))) | ((~v116(constB31)) | ![B: $i] : ((~less_3(B)) | (v124(constB31, B) <=> b100(B))))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b100(B))))) | (~v116(constB31)) | ![B: $i] : ((~less_3(B)) | (v124(constB31, B) <=> b100(B))))),
% 8.56/6.08 inference(rewrite,[status(thm)],[])).
% 8.56/6.08 tff(12518,plain,
% 8.56/6.08 ((~![VarCurr: $i] : ((~v116(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b100(B))))) | ((~v116(constB31)) | ![B: $i] : ((~less_3(B)) | (v124(constB31, B) <=> b100(B))))),
% 8.56/6.08 inference(quant_inst,[status(thm)],[])).
% 8.56/6.08 tff(12519,plain,
% 8.56/6.08 ((~![VarCurr: $i] : ((~v116(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b100(B))))) | (~v116(constB31)) | ![B: $i] : ((~less_3(B)) | (v124(constB31, B) <=> b100(B)))),
% 8.56/6.08 inference(modus_ponens,[status(thm)],[12518, 12517])).
% 8.56/6.08 tff(12520,plain,
% 8.56/6.08 ((~v116(constB31)) | ![B: $i] : ((~less_3(B)) | (v124(constB31, B) <=> b100(B)))),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[12519, 10505])).
% 8.56/6.08 tff(12521,plain,
% 8.56/6.08 (![B: $i] : ((~less_3(B)) | (v124(constB31, B) <=> b100(B)))),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[12520, 12448])).
% 8.56/6.08 tff(12522,plain,
% 8.56/6.08 (((~![B: $i] : ((~less_3(B)) | (v124(constB31, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v124(constB31, bitIndex2) <=> b100(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB31, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v124(constB31, bitIndex2) <=> b100(bitIndex2)))),
% 8.56/6.08 inference(rewrite,[status(thm)],[])).
% 8.56/6.08 tff(12523,plain,
% 8.56/6.08 ((~![B: $i] : ((~less_3(B)) | (v124(constB31, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v124(constB31, bitIndex2) <=> b100(bitIndex2)))),
% 8.56/6.08 inference(quant_inst,[status(thm)],[])).
% 8.56/6.08 tff(12524,plain,
% 8.56/6.08 ((~![B: $i] : ((~less_3(B)) | (v124(constB31, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v124(constB31, bitIndex2) <=> b100(bitIndex2))),
% 8.56/6.08 inference(modus_ponens,[status(thm)],[12523, 12522])).
% 8.56/6.08 tff(12525,plain,
% 8.56/6.08 (v124(constB31, bitIndex2) <=> b100(bitIndex2)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[12524, 832, 12521])).
% 8.56/6.08 tff(12526,plain,
% 8.56/6.08 ((~(v124(constB31, bitIndex2) <=> b100(bitIndex2))) | v124(constB31, bitIndex2) | (~b100(bitIndex2))),
% 8.56/6.08 inference(tautology,[status(thm)],[])).
% 8.56/6.08 tff(12527,plain,
% 8.56/6.08 ((~(v124(constB31, bitIndex2) <=> b100(bitIndex2))) | v124(constB31, bitIndex2)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[12526, 10517])).
% 8.56/6.08 tff(12528,plain,
% 8.56/6.08 (v124(constB31, bitIndex2)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[12527, 12525])).
% 8.56/6.08 tff(12529,plain,
% 8.56/6.08 ((~(v121(constB31, bitIndex2) <=> v124(constB31, bitIndex2))) | v121(constB31, bitIndex2) | (~v124(constB31, bitIndex2))),
% 8.56/6.08 inference(tautology,[status(thm)],[])).
% 8.56/6.08 tff(12530,plain,
% 8.56/6.08 (v121(constB31, bitIndex2)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[12529, 12528, 12516])).
% 8.56/6.08 tff(12531,plain,
% 8.56/6.08 ((~(v123(constB32, bitIndex2) <=> v121(constB31, bitIndex2))) | v123(constB32, bitIndex2) | (~v121(constB31, bitIndex2))),
% 8.56/6.08 inference(tautology,[status(thm)],[])).
% 8.56/6.08 tff(12532,plain,
% 8.56/6.08 (v123(constB32, bitIndex2)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[12531, 12530, 12508])).
% 8.56/6.08 tff(12533,plain,
% 8.56/6.08 ((~(v84(constB32, bitIndex2) <=> v123(constB32, bitIndex2))) | v84(constB32, bitIndex2) | (~v123(constB32, bitIndex2))),
% 8.56/6.08 inference(tautology,[status(thm)],[])).
% 8.56/6.08 tff(12534,plain,
% 8.56/6.08 (v84(constB32, bitIndex2)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[12533, 12532, 12500])).
% 8.56/6.08 tff(12535,plain,
% 8.56/6.08 ((~(v84(constB33, bitIndex2) <=> v84(constB32, bitIndex2))) | v84(constB33, bitIndex2) | (~v84(constB32, bitIndex2))),
% 8.56/6.08 inference(tautology,[status(thm)],[])).
% 8.56/6.08 tff(12536,plain,
% 8.56/6.08 (v84(constB33, bitIndex2)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[12535, 12534, 8294])).
% 8.56/6.08 tff(12537,plain,
% 8.56/6.08 (((~![B: $i] : ((~less_3(B)) | (v84(constB33, B) <=> v84(constB32, B)))) | ((~less_3(bitIndex0)) | (v84(constB33, bitIndex0) <=> v84(constB32, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB33, B) <=> v84(constB32, B)))) | (~less_3(bitIndex0)) | (v84(constB33, bitIndex0) <=> v84(constB32, bitIndex0)))),
% 8.56/6.08 inference(rewrite,[status(thm)],[])).
% 8.56/6.08 tff(12538,plain,
% 8.56/6.08 ((~![B: $i] : ((~less_3(B)) | (v84(constB33, B) <=> v84(constB32, B)))) | ((~less_3(bitIndex0)) | (v84(constB33, bitIndex0) <=> v84(constB32, bitIndex0)))),
% 8.56/6.08 inference(quant_inst,[status(thm)],[])).
% 8.56/6.08 tff(12539,plain,
% 8.56/6.08 ((~![B: $i] : ((~less_3(B)) | (v84(constB33, B) <=> v84(constB32, B)))) | (~less_3(bitIndex0)) | (v84(constB33, bitIndex0) <=> v84(constB32, bitIndex0))),
% 8.56/6.08 inference(modus_ponens,[status(thm)],[12538, 12537])).
% 8.56/6.08 tff(12540,plain,
% 8.56/6.08 (v84(constB33, bitIndex0) <=> v84(constB32, bitIndex0)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[12539, 9772, 8290])).
% 8.56/6.08 tff(12541,plain,
% 8.56/6.08 (((~![B: $i] : ((~less_3(B)) | (v84(constB32, B) <=> v123(constB32, B)))) | ((~less_3(bitIndex0)) | (v84(constB32, bitIndex0) <=> v123(constB32, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB32, B) <=> v123(constB32, B)))) | (~less_3(bitIndex0)) | (v84(constB32, bitIndex0) <=> v123(constB32, bitIndex0)))),
% 8.56/6.08 inference(rewrite,[status(thm)],[])).
% 8.56/6.08 tff(12542,plain,
% 8.56/6.08 ((~![B: $i] : ((~less_3(B)) | (v84(constB32, B) <=> v123(constB32, B)))) | ((~less_3(bitIndex0)) | (v84(constB32, bitIndex0) <=> v123(constB32, bitIndex0)))),
% 8.56/6.08 inference(quant_inst,[status(thm)],[])).
% 8.56/6.08 tff(12543,plain,
% 8.56/6.08 ((~![B: $i] : ((~less_3(B)) | (v84(constB32, B) <=> v123(constB32, B)))) | (~less_3(bitIndex0)) | (v84(constB32, bitIndex0) <=> v123(constB32, bitIndex0))),
% 8.56/6.08 inference(modus_ponens,[status(thm)],[12542, 12541])).
% 8.56/6.08 tff(12544,plain,
% 8.56/6.08 (v84(constB32, bitIndex0) <=> v123(constB32, bitIndex0)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[12543, 9772, 12496])).
% 8.56/6.08 tff(12545,plain,
% 8.56/6.08 (((~![B: $i] : ((~less_3(B)) | (v123(constB32, B) <=> v121(constB31, B)))) | ((~less_3(bitIndex0)) | (v123(constB32, bitIndex0) <=> v121(constB31, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB32, B) <=> v121(constB31, B)))) | (~less_3(bitIndex0)) | (v123(constB32, bitIndex0) <=> v121(constB31, bitIndex0)))),
% 8.56/6.08 inference(rewrite,[status(thm)],[])).
% 8.56/6.08 tff(12546,plain,
% 8.56/6.08 ((~![B: $i] : ((~less_3(B)) | (v123(constB32, B) <=> v121(constB31, B)))) | ((~less_3(bitIndex0)) | (v123(constB32, bitIndex0) <=> v121(constB31, bitIndex0)))),
% 8.56/6.08 inference(quant_inst,[status(thm)],[])).
% 8.56/6.08 tff(12547,plain,
% 8.56/6.08 ((~![B: $i] : ((~less_3(B)) | (v123(constB32, B) <=> v121(constB31, B)))) | (~less_3(bitIndex0)) | (v123(constB32, bitIndex0) <=> v121(constB31, bitIndex0))),
% 8.56/6.08 inference(modus_ponens,[status(thm)],[12546, 12545])).
% 8.56/6.08 tff(12548,plain,
% 8.56/6.08 (v123(constB32, bitIndex0) <=> v121(constB31, bitIndex0)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[12547, 9772, 12504])).
% 8.56/6.08 tff(12549,plain,
% 8.56/6.08 (((~![B: $i] : ((~less_3(B)) | (v121(constB31, B) <=> v124(constB31, B)))) | ((~less_3(bitIndex0)) | (v121(constB31, bitIndex0) <=> v124(constB31, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB31, B) <=> v124(constB31, B)))) | (~less_3(bitIndex0)) | (v121(constB31, bitIndex0) <=> v124(constB31, bitIndex0)))),
% 8.56/6.08 inference(rewrite,[status(thm)],[])).
% 8.56/6.08 tff(12550,plain,
% 8.56/6.08 ((~![B: $i] : ((~less_3(B)) | (v121(constB31, B) <=> v124(constB31, B)))) | ((~less_3(bitIndex0)) | (v121(constB31, bitIndex0) <=> v124(constB31, bitIndex0)))),
% 8.56/6.08 inference(quant_inst,[status(thm)],[])).
% 8.56/6.08 tff(12551,plain,
% 8.56/6.08 ((~![B: $i] : ((~less_3(B)) | (v121(constB31, B) <=> v124(constB31, B)))) | (~less_3(bitIndex0)) | (v121(constB31, bitIndex0) <=> v124(constB31, bitIndex0))),
% 8.56/6.08 inference(modus_ponens,[status(thm)],[12550, 12549])).
% 8.56/6.08 tff(12552,plain,
% 8.56/6.08 (v121(constB31, bitIndex0) <=> v124(constB31, bitIndex0)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[12551, 9772, 12512])).
% 8.56/6.08 tff(12553,plain,
% 8.56/6.08 (((~![B: $i] : ((~less_3(B)) | (v124(constB31, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v124(constB31, bitIndex0) <=> b100(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB31, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v124(constB31, bitIndex0) <=> b100(bitIndex0)))),
% 8.56/6.08 inference(rewrite,[status(thm)],[])).
% 8.56/6.08 tff(12554,plain,
% 8.56/6.08 ((~![B: $i] : ((~less_3(B)) | (v124(constB31, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v124(constB31, bitIndex0) <=> b100(bitIndex0)))),
% 8.56/6.08 inference(quant_inst,[status(thm)],[])).
% 8.56/6.08 tff(12555,plain,
% 8.56/6.08 ((~![B: $i] : ((~less_3(B)) | (v124(constB31, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v124(constB31, bitIndex0) <=> b100(bitIndex0))),
% 8.56/6.08 inference(modus_ponens,[status(thm)],[12554, 12553])).
% 8.56/6.08 tff(12556,plain,
% 8.56/6.08 (v124(constB31, bitIndex0) <=> b100(bitIndex0)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[12555, 9772, 12521])).
% 8.56/6.08 tff(12557,plain,
% 8.56/6.08 ((~(v124(constB31, bitIndex0) <=> b100(bitIndex0))) | (~v124(constB31, bitIndex0)) | b100(bitIndex0)),
% 8.56/6.08 inference(tautology,[status(thm)],[])).
% 8.56/6.08 tff(12558,plain,
% 8.56/6.08 ((~(v124(constB31, bitIndex0) <=> b100(bitIndex0))) | (~v124(constB31, bitIndex0))),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[12557, 10551])).
% 8.56/6.08 tff(12559,plain,
% 8.56/6.08 (~v124(constB31, bitIndex0)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[12558, 12556])).
% 8.56/6.08 tff(12560,plain,
% 8.56/6.08 ((~(v121(constB31, bitIndex0) <=> v124(constB31, bitIndex0))) | (~v121(constB31, bitIndex0)) | v124(constB31, bitIndex0)),
% 8.56/6.08 inference(tautology,[status(thm)],[])).
% 8.56/6.08 tff(12561,plain,
% 8.56/6.08 (~v121(constB31, bitIndex0)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[12560, 12559, 12552])).
% 8.56/6.08 tff(12562,plain,
% 8.56/6.08 ((~(v123(constB32, bitIndex0) <=> v121(constB31, bitIndex0))) | (~v123(constB32, bitIndex0)) | v121(constB31, bitIndex0)),
% 8.56/6.08 inference(tautology,[status(thm)],[])).
% 8.56/6.08 tff(12563,plain,
% 8.56/6.08 (~v123(constB32, bitIndex0)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[12562, 12561, 12548])).
% 8.56/6.08 tff(12564,plain,
% 8.56/6.08 ((~(v84(constB32, bitIndex0) <=> v123(constB32, bitIndex0))) | (~v84(constB32, bitIndex0)) | v123(constB32, bitIndex0)),
% 8.56/6.08 inference(tautology,[status(thm)],[])).
% 8.56/6.08 tff(12565,plain,
% 8.56/6.08 (~v84(constB32, bitIndex0)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[12564, 12563, 12544])).
% 8.56/6.08 tff(12566,plain,
% 8.56/6.08 ((~(v84(constB33, bitIndex0) <=> v84(constB32, bitIndex0))) | (~v84(constB33, bitIndex0)) | v84(constB32, bitIndex0)),
% 8.56/6.08 inference(tautology,[status(thm)],[])).
% 8.56/6.08 tff(12567,plain,
% 8.56/6.08 (~v84(constB33, bitIndex0)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[12566, 12565, 12540])).
% 8.56/6.08 tff(12568,plain,
% 8.56/6.08 (((~![B: $i] : ((~less_3(B)) | (v84(constB33, B) <=> v84(constB32, B)))) | ((~less_3(bitIndex1)) | (v84(constB33, bitIndex1) <=> v84(constB32, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB33, B) <=> v84(constB32, B)))) | (~less_3(bitIndex1)) | (v84(constB33, bitIndex1) <=> v84(constB32, bitIndex1)))),
% 8.56/6.08 inference(rewrite,[status(thm)],[])).
% 8.56/6.08 tff(12569,plain,
% 8.56/6.08 ((~![B: $i] : ((~less_3(B)) | (v84(constB33, B) <=> v84(constB32, B)))) | ((~less_3(bitIndex1)) | (v84(constB33, bitIndex1) <=> v84(constB32, bitIndex1)))),
% 8.56/6.08 inference(quant_inst,[status(thm)],[])).
% 8.56/6.08 tff(12570,plain,
% 8.56/6.08 ((~![B: $i] : ((~less_3(B)) | (v84(constB33, B) <=> v84(constB32, B)))) | (~less_3(bitIndex1)) | (v84(constB33, bitIndex1) <=> v84(constB32, bitIndex1))),
% 8.56/6.08 inference(modus_ponens,[status(thm)],[12569, 12568])).
% 8.56/6.08 tff(12571,plain,
% 8.56/6.08 (v84(constB33, bitIndex1) <=> v84(constB32, bitIndex1)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[12570, 9785, 8290])).
% 8.56/6.08 tff(12572,plain,
% 8.56/6.08 (((~![B: $i] : ((~less_3(B)) | (v84(constB32, B) <=> v123(constB32, B)))) | ((~less_3(bitIndex1)) | (v84(constB32, bitIndex1) <=> v123(constB32, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB32, B) <=> v123(constB32, B)))) | (~less_3(bitIndex1)) | (v84(constB32, bitIndex1) <=> v123(constB32, bitIndex1)))),
% 8.56/6.08 inference(rewrite,[status(thm)],[])).
% 8.56/6.08 tff(12573,plain,
% 8.56/6.08 ((~![B: $i] : ((~less_3(B)) | (v84(constB32, B) <=> v123(constB32, B)))) | ((~less_3(bitIndex1)) | (v84(constB32, bitIndex1) <=> v123(constB32, bitIndex1)))),
% 8.56/6.08 inference(quant_inst,[status(thm)],[])).
% 8.56/6.08 tff(12574,plain,
% 8.56/6.08 ((~![B: $i] : ((~less_3(B)) | (v84(constB32, B) <=> v123(constB32, B)))) | (~less_3(bitIndex1)) | (v84(constB32, bitIndex1) <=> v123(constB32, bitIndex1))),
% 8.56/6.08 inference(modus_ponens,[status(thm)],[12573, 12572])).
% 8.56/6.08 tff(12575,plain,
% 8.56/6.08 (v84(constB32, bitIndex1) <=> v123(constB32, bitIndex1)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[12574, 9785, 12496])).
% 8.56/6.08 tff(12576,plain,
% 8.56/6.08 (((~![B: $i] : ((~less_3(B)) | (v123(constB32, B) <=> v121(constB31, B)))) | ((~less_3(bitIndex1)) | (v123(constB32, bitIndex1) <=> v121(constB31, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB32, B) <=> v121(constB31, B)))) | (~less_3(bitIndex1)) | (v123(constB32, bitIndex1) <=> v121(constB31, bitIndex1)))),
% 8.56/6.08 inference(rewrite,[status(thm)],[])).
% 8.56/6.08 tff(12577,plain,
% 8.56/6.08 ((~![B: $i] : ((~less_3(B)) | (v123(constB32, B) <=> v121(constB31, B)))) | ((~less_3(bitIndex1)) | (v123(constB32, bitIndex1) <=> v121(constB31, bitIndex1)))),
% 8.56/6.08 inference(quant_inst,[status(thm)],[])).
% 8.56/6.08 tff(12578,plain,
% 8.56/6.08 ((~![B: $i] : ((~less_3(B)) | (v123(constB32, B) <=> v121(constB31, B)))) | (~less_3(bitIndex1)) | (v123(constB32, bitIndex1) <=> v121(constB31, bitIndex1))),
% 8.56/6.08 inference(modus_ponens,[status(thm)],[12577, 12576])).
% 8.56/6.08 tff(12579,plain,
% 8.56/6.08 (v123(constB32, bitIndex1) <=> v121(constB31, bitIndex1)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[12578, 9785, 12504])).
% 8.56/6.08 tff(12580,plain,
% 8.56/6.08 (((~![B: $i] : ((~less_3(B)) | (v121(constB31, B) <=> v124(constB31, B)))) | ((~less_3(bitIndex1)) | (v121(constB31, bitIndex1) <=> v124(constB31, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB31, B) <=> v124(constB31, B)))) | (~less_3(bitIndex1)) | (v121(constB31, bitIndex1) <=> v124(constB31, bitIndex1)))),
% 8.56/6.08 inference(rewrite,[status(thm)],[])).
% 8.56/6.08 tff(12581,plain,
% 8.56/6.08 ((~![B: $i] : ((~less_3(B)) | (v121(constB31, B) <=> v124(constB31, B)))) | ((~less_3(bitIndex1)) | (v121(constB31, bitIndex1) <=> v124(constB31, bitIndex1)))),
% 8.56/6.08 inference(quant_inst,[status(thm)],[])).
% 8.56/6.08 tff(12582,plain,
% 8.56/6.08 ((~![B: $i] : ((~less_3(B)) | (v121(constB31, B) <=> v124(constB31, B)))) | (~less_3(bitIndex1)) | (v121(constB31, bitIndex1) <=> v124(constB31, bitIndex1))),
% 8.56/6.08 inference(modus_ponens,[status(thm)],[12581, 12580])).
% 8.56/6.08 tff(12583,plain,
% 8.56/6.08 (v121(constB31, bitIndex1) <=> v124(constB31, bitIndex1)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[12582, 9785, 12512])).
% 8.56/6.08 tff(12584,plain,
% 8.56/6.08 (((~![B: $i] : ((~less_3(B)) | (v124(constB31, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v124(constB31, bitIndex1) <=> b100(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB31, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v124(constB31, bitIndex1) <=> b100(bitIndex1)))),
% 8.56/6.08 inference(rewrite,[status(thm)],[])).
% 8.56/6.08 tff(12585,plain,
% 8.56/6.08 ((~![B: $i] : ((~less_3(B)) | (v124(constB31, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v124(constB31, bitIndex1) <=> b100(bitIndex1)))),
% 8.56/6.08 inference(quant_inst,[status(thm)],[])).
% 8.56/6.08 tff(12586,plain,
% 8.56/6.08 ((~![B: $i] : ((~less_3(B)) | (v124(constB31, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v124(constB31, bitIndex1) <=> b100(bitIndex1))),
% 8.56/6.08 inference(modus_ponens,[status(thm)],[12585, 12584])).
% 8.56/6.08 tff(12587,plain,
% 8.56/6.08 (v124(constB31, bitIndex1) <=> b100(bitIndex1)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[12586, 9785, 12521])).
% 8.56/6.08 tff(12588,plain,
% 8.56/6.08 ((~(v124(constB31, bitIndex1) <=> b100(bitIndex1))) | (~v124(constB31, bitIndex1)) | b100(bitIndex1)),
% 8.56/6.08 inference(tautology,[status(thm)],[])).
% 8.56/6.08 tff(12589,plain,
% 8.56/6.08 ((~(v124(constB31, bitIndex1) <=> b100(bitIndex1))) | (~v124(constB31, bitIndex1))),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[12588, 10585])).
% 8.56/6.08 tff(12590,plain,
% 8.56/6.08 (~v124(constB31, bitIndex1)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[12589, 12587])).
% 8.56/6.08 tff(12591,plain,
% 8.56/6.08 ((~(v121(constB31, bitIndex1) <=> v124(constB31, bitIndex1))) | (~v121(constB31, bitIndex1)) | v124(constB31, bitIndex1)),
% 8.56/6.08 inference(tautology,[status(thm)],[])).
% 8.56/6.08 tff(12592,plain,
% 8.56/6.08 (~v121(constB31, bitIndex1)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[12591, 12590, 12583])).
% 8.56/6.08 tff(12593,plain,
% 8.56/6.08 ((~(v123(constB32, bitIndex1) <=> v121(constB31, bitIndex1))) | (~v123(constB32, bitIndex1)) | v121(constB31, bitIndex1)),
% 8.56/6.08 inference(tautology,[status(thm)],[])).
% 8.56/6.08 tff(12594,plain,
% 8.56/6.08 (~v123(constB32, bitIndex1)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[12593, 12592, 12579])).
% 8.56/6.08 tff(12595,plain,
% 8.56/6.08 ((~(v84(constB32, bitIndex1) <=> v123(constB32, bitIndex1))) | (~v84(constB32, bitIndex1)) | v123(constB32, bitIndex1)),
% 8.56/6.08 inference(tautology,[status(thm)],[])).
% 8.56/6.08 tff(12596,plain,
% 8.56/6.08 (~v84(constB32, bitIndex1)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[12595, 12594, 12575])).
% 8.56/6.08 tff(12597,plain,
% 8.56/6.08 ((~(v84(constB33, bitIndex1) <=> v84(constB32, bitIndex1))) | (~v84(constB33, bitIndex1)) | v84(constB32, bitIndex1)),
% 8.56/6.08 inference(tautology,[status(thm)],[])).
% 8.56/6.08 tff(12598,plain,
% 8.56/6.08 (~v84(constB33, bitIndex1)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[12597, 12596, 12571])).
% 8.56/6.08 tff(12599,plain,
% 8.56/6.08 ((~((~v84(constB33, bitIndex2)) | v84(constB33, bitIndex1) | v84(constB33, bitIndex0))) | (~v84(constB33, bitIndex2)) | v84(constB33, bitIndex1) | v84(constB33, bitIndex0)),
% 8.56/6.08 inference(tautology,[status(thm)],[])).
% 8.56/6.08 tff(12600,plain,
% 8.56/6.08 (~((~v84(constB33, bitIndex2)) | v84(constB33, bitIndex1) | v84(constB33, bitIndex0))),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[12599, 12598, 12567, 12536])).
% 8.56/6.08 tff(12601,plain,
% 8.56/6.08 ((~(v117(constB33) <=> (~((~v84(constB33, bitIndex2)) | v84(constB33, bitIndex1) | v84(constB33, bitIndex0))))) | v117(constB33) | ((~v84(constB33, bitIndex2)) | v84(constB33, bitIndex1) | v84(constB33, bitIndex0))),
% 8.56/6.08 inference(tautology,[status(thm)],[])).
% 8.56/6.08 tff(12602,plain,
% 8.56/6.08 (v117(constB33)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[12601, 12600, 8262])).
% 8.56/6.08 tff(12603,plain,
% 8.56/6.08 ((v110(constB33) | v117(constB33)) | (~v117(constB33))),
% 8.56/6.08 inference(tautology,[status(thm)],[])).
% 8.56/6.08 tff(12604,plain,
% 8.56/6.08 (v110(constB33) | v117(constB33)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[12603, 12602])).
% 8.56/6.08 tff(12605,plain,
% 8.56/6.08 ((~(v109(constB33) <=> (v110(constB33) | v117(constB33)))) | v109(constB33) | (~(v110(constB33) | v117(constB33)))),
% 8.56/6.08 inference(tautology,[status(thm)],[])).
% 8.56/6.08 tff(12606,plain,
% 8.56/6.08 (v109(constB33)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[12605, 12604, 8255])).
% 8.56/6.08 tff(12607,plain,
% 8.56/6.08 ((v109(constB33) | v118(constB33)) | (~v109(constB33))),
% 8.56/6.08 inference(tautology,[status(thm)],[])).
% 8.56/6.08 tff(12608,plain,
% 8.56/6.08 (v109(constB33) | v118(constB33)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[12607, 12606])).
% 8.56/6.08 tff(12609,plain,
% 8.56/6.08 ((~(v108(constB33) <=> (v109(constB33) | v118(constB33)))) | v108(constB33) | (~(v109(constB33) | v118(constB33)))),
% 8.56/6.08 inference(tautology,[status(thm)],[])).
% 8.56/6.08 tff(12610,plain,
% 8.56/6.08 (v108(constB33)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[12609, 12608, 8253])).
% 8.56/6.08 tff(12611,plain,
% 8.56/6.08 ((v108(constB33) | v119(constB33)) | (~v108(constB33))),
% 8.56/6.08 inference(tautology,[status(thm)],[])).
% 8.56/6.08 tff(12612,plain,
% 8.56/6.08 (v108(constB33) | v119(constB33)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[12611, 12610])).
% 8.56/6.08 tff(12613,plain,
% 8.56/6.08 ((~(v107(constB33) <=> (v108(constB33) | v119(constB33)))) | v107(constB33) | (~(v108(constB33) | v119(constB33)))),
% 8.56/6.08 inference(tautology,[status(thm)],[])).
% 8.56/6.08 tff(12614,plain,
% 8.56/6.08 (v107(constB33)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[12613, 12612, 8251])).
% 8.56/6.08 tff(12615,plain,
% 8.56/6.08 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB33)) <=> v105(constB33))),
% 8.56/6.08 inference(quant_inst,[status(thm)],[])).
% 8.56/6.08 tff(12616,plain,
% 8.56/6.08 ((~v120(constB33)) <=> v105(constB33)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[12615, 9842])).
% 8.56/6.08 tff(12617,plain,
% 8.56/6.08 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB33) <=> v26(constB33))),
% 8.56/6.08 inference(quant_inst,[status(thm)],[])).
% 8.56/6.08 tff(12618,plain,
% 8.56/6.08 (v105(constB33) <=> v26(constB33)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[12617, 9854])).
% 8.56/6.08 tff(12619,plain,
% 8.56/6.08 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB33))),
% 8.56/6.08 inference(quant_inst,[status(thm)],[])).
% 8.56/6.08 tff(12620,plain,
% 8.56/6.08 (~v26(constB33)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[12619, 9866])).
% 8.56/6.08 tff(12621,plain,
% 8.56/6.08 ((~(v105(constB33) <=> v26(constB33))) | (~v105(constB33)) | v26(constB33)),
% 8.56/6.08 inference(tautology,[status(thm)],[])).
% 8.56/6.08 tff(12622,plain,
% 8.56/6.08 ((~(v105(constB33) <=> v26(constB33))) | (~v105(constB33))),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[12621, 12620])).
% 8.56/6.08 tff(12623,plain,
% 8.56/6.08 (~v105(constB33)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[12622, 12618])).
% 8.56/6.08 tff(12624,plain,
% 8.56/6.08 ((~((~v120(constB33)) <=> v105(constB33))) | v120(constB33) | v105(constB33)),
% 8.56/6.08 inference(tautology,[status(thm)],[])).
% 8.56/6.08 tff(12625,plain,
% 8.56/6.08 ((~((~v120(constB33)) <=> v105(constB33))) | v120(constB33)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[12624, 12623])).
% 8.56/6.08 tff(12626,plain,
% 8.56/6.08 (v120(constB33)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[12625, 12616])).
% 8.56/6.08 tff(12627,plain,
% 8.56/6.08 ((~((~v107(constB33)) | (~v120(constB33)))) | (~v107(constB33)) | (~v120(constB33))),
% 8.56/6.08 inference(tautology,[status(thm)],[])).
% 8.56/6.08 tff(12628,plain,
% 8.56/6.08 ((~((~v107(constB33)) | (~v120(constB33)))) | (~v107(constB33))),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[12627, 12626])).
% 8.56/6.08 tff(12629,plain,
% 8.56/6.08 (~((~v107(constB33)) | (~v120(constB33)))),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[12628, 12614])).
% 8.56/6.08 tff(12630,plain,
% 8.56/6.08 ((~(v106(constB33) <=> (~((~v107(constB33)) | (~v120(constB33)))))) | v106(constB33) | ((~v107(constB33)) | (~v120(constB33)))),
% 8.56/6.08 inference(tautology,[status(thm)],[])).
% 8.56/6.08 tff(12631,plain,
% 8.56/6.08 (v106(constB33)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[12630, 12629, 8249])).
% 8.56/6.08 tff(12632,plain,
% 8.56/6.08 ((v105(constB33) | v106(constB33)) | (~v106(constB33))),
% 8.56/6.08 inference(tautology,[status(thm)],[])).
% 8.56/6.08 tff(12633,plain,
% 8.56/6.08 (v105(constB33) | v106(constB33)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[12632, 12631])).
% 8.56/6.08 tff(12634,plain,
% 8.56/6.08 ((~(v102(constB33) <=> (v105(constB33) | v106(constB33)))) | v102(constB33) | (~(v105(constB33) | v106(constB33)))),
% 8.56/6.08 inference(tautology,[status(thm)],[])).
% 8.56/6.08 tff(12635,plain,
% 8.56/6.08 (v102(constB33)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[12634, 12633, 8247])).
% 8.56/6.08 tff(12636,plain,
% 8.56/6.08 ((~(v104(constB34) <=> v102(constB33))) | v104(constB34) | (~v102(constB33))),
% 8.56/6.08 inference(tautology,[status(thm)],[])).
% 8.56/6.08 tff(12637,plain,
% 8.56/6.08 (v104(constB34)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[12636, 12635, 8245])).
% 8.56/6.08 tff(12638,plain,
% 8.56/6.08 ((~((~v104(constB34)) | (~v95(constB34)))) | (~v104(constB34)) | (~v95(constB34))),
% 8.56/6.08 inference(tautology,[status(thm)],[])).
% 8.56/6.08 tff(12639,plain,
% 8.56/6.08 (~((~v104(constB34)) | (~v95(constB34)))),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[12638, 12637, 8241])).
% 8.56/6.08 tff(12640,plain,
% 8.56/6.08 ((~(v94(constB34) <=> (~((~v104(constB34)) | (~v95(constB34)))))) | v94(constB34) | ((~v104(constB34)) | (~v95(constB34)))),
% 8.56/6.08 inference(tautology,[status(thm)],[])).
% 8.56/6.08 tff(12641,plain,
% 8.56/6.08 (v94(constB34)),
% 8.56/6.08 inference(unit_resolution,[status(thm)],[12640, 12639, 8210])).
% 8.56/6.08 tff(12642,plain,
% 8.56/6.08 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB34)) | ![B: $i] : ((~less_3(B)) | (v84(constB34, B) <=> v123(constB34, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB34)) | ![B: $i] : ((~less_3(B)) | (v84(constB34, B) <=> v123(constB34, B))))),
% 8.56/6.09 inference(rewrite,[status(thm)],[])).
% 8.56/6.09 tff(12643,plain,
% 8.56/6.09 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB34)) | ![B: $i] : ((~less_3(B)) | (v84(constB34, B) <=> v123(constB34, B))))),
% 8.56/6.09 inference(quant_inst,[status(thm)],[])).
% 8.56/6.09 tff(12644,plain,
% 8.56/6.09 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB34)) | ![B: $i] : ((~less_3(B)) | (v84(constB34, B) <=> v123(constB34, B)))),
% 8.56/6.09 inference(modus_ponens,[status(thm)],[12643, 12642])).
% 8.56/6.09 tff(12645,plain,
% 8.56/6.09 ((~v94(constB34)) | ![B: $i] : ((~less_3(B)) | (v84(constB34, B) <=> v123(constB34, B)))),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[12644, 9902])).
% 8.56/6.09 tff(12646,plain,
% 8.56/6.09 (![B: $i] : ((~less_3(B)) | (v84(constB34, B) <=> v123(constB34, B)))),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[12645, 12641])).
% 8.56/6.09 tff(12647,plain,
% 8.56/6.09 (((~![B: $i] : ((~less_3(B)) | (v84(constB34, B) <=> v123(constB34, B)))) | ((~less_3(bitIndex2)) | (v84(constB34, bitIndex2) <=> v123(constB34, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB34, B) <=> v123(constB34, B)))) | (~less_3(bitIndex2)) | (v84(constB34, bitIndex2) <=> v123(constB34, bitIndex2)))),
% 8.56/6.09 inference(rewrite,[status(thm)],[])).
% 8.56/6.09 tff(12648,plain,
% 8.56/6.09 ((~![B: $i] : ((~less_3(B)) | (v84(constB34, B) <=> v123(constB34, B)))) | ((~less_3(bitIndex2)) | (v84(constB34, bitIndex2) <=> v123(constB34, bitIndex2)))),
% 8.56/6.09 inference(quant_inst,[status(thm)],[])).
% 8.56/6.09 tff(12649,plain,
% 8.56/6.09 ((~![B: $i] : ((~less_3(B)) | (v84(constB34, B) <=> v123(constB34, B)))) | (~less_3(bitIndex2)) | (v84(constB34, bitIndex2) <=> v123(constB34, bitIndex2))),
% 8.56/6.09 inference(modus_ponens,[status(thm)],[12648, 12647])).
% 8.56/6.09 tff(12650,plain,
% 8.56/6.09 (v84(constB34, bitIndex2) <=> v123(constB34, bitIndex2)),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[12649, 832, 12646])).
% 8.56/6.09 tff(12651,plain,
% 8.56/6.09 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB33, constB34)) | ![B: $i] : ((~less_3(B)) | (v123(constB34, B) <=> v121(constB33, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB33, constB34)) | ![B: $i] : ((~less_3(B)) | (v123(constB34, B) <=> v121(constB33, B))))),
% 8.56/6.09 inference(rewrite,[status(thm)],[])).
% 8.56/6.09 tff(12652,plain,
% 8.56/6.09 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB33, constB34)) | ![B: $i] : ((~less_3(B)) | (v123(constB34, B) <=> v121(constB33, B))))),
% 8.56/6.09 inference(quant_inst,[status(thm)],[])).
% 8.56/6.09 tff(12653,plain,
% 8.56/6.09 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB33, constB34)) | ![B: $i] : ((~less_3(B)) | (v123(constB34, B) <=> v121(constB33, B)))),
% 8.56/6.09 inference(modus_ponens,[status(thm)],[12652, 12651])).
% 8.56/6.09 tff(12654,plain,
% 8.56/6.09 (![B: $i] : ((~less_3(B)) | (v123(constB34, B) <=> v121(constB33, B)))),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[12653, 8206, 9924])).
% 8.56/6.09 tff(12655,plain,
% 8.56/6.09 (((~![B: $i] : ((~less_3(B)) | (v123(constB34, B) <=> v121(constB33, B)))) | ((~less_3(bitIndex2)) | (v123(constB34, bitIndex2) <=> v121(constB33, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB34, B) <=> v121(constB33, B)))) | (~less_3(bitIndex2)) | (v123(constB34, bitIndex2) <=> v121(constB33, bitIndex2)))),
% 8.56/6.09 inference(rewrite,[status(thm)],[])).
% 8.56/6.09 tff(12656,plain,
% 8.56/6.09 ((~![B: $i] : ((~less_3(B)) | (v123(constB34, B) <=> v121(constB33, B)))) | ((~less_3(bitIndex2)) | (v123(constB34, bitIndex2) <=> v121(constB33, bitIndex2)))),
% 8.56/6.09 inference(quant_inst,[status(thm)],[])).
% 8.56/6.09 tff(12657,plain,
% 8.56/6.09 ((~![B: $i] : ((~less_3(B)) | (v123(constB34, B) <=> v121(constB33, B)))) | (~less_3(bitIndex2)) | (v123(constB34, bitIndex2) <=> v121(constB33, bitIndex2))),
% 8.56/6.09 inference(modus_ponens,[status(thm)],[12656, 12655])).
% 8.56/6.09 tff(12658,plain,
% 8.56/6.09 (v123(constB34, bitIndex2) <=> v121(constB33, bitIndex2)),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[12657, 832, 12654])).
% 8.56/6.09 tff(12659,plain,
% 8.56/6.09 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB33) | ![B: $i] : ((~less_3(B)) | (v121(constB33, B) <=> v124(constB33, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB33) | ![B: $i] : ((~less_3(B)) | (v121(constB33, B) <=> v124(constB33, B))))),
% 8.56/6.09 inference(rewrite,[status(thm)],[])).
% 8.56/6.09 tff(12660,plain,
% 8.56/6.09 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB33) | ![B: $i] : ((~less_3(B)) | (v121(constB33, B) <=> v124(constB33, B))))),
% 8.56/6.09 inference(quant_inst,[status(thm)],[])).
% 8.56/6.09 tff(12661,plain,
% 8.56/6.09 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB33) | ![B: $i] : ((~less_3(B)) | (v121(constB33, B) <=> v124(constB33, B)))),
% 8.56/6.09 inference(modus_ponens,[status(thm)],[12660, 12659])).
% 8.56/6.09 tff(12662,plain,
% 8.56/6.09 (![B: $i] : ((~less_3(B)) | (v121(constB33, B) <=> v124(constB33, B)))),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[12661, 9945, 12623])).
% 8.56/6.09 tff(12663,plain,
% 8.56/6.09 (((~![B: $i] : ((~less_3(B)) | (v121(constB33, B) <=> v124(constB33, B)))) | ((~less_3(bitIndex2)) | (v121(constB33, bitIndex2) <=> v124(constB33, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB33, B) <=> v124(constB33, B)))) | (~less_3(bitIndex2)) | (v121(constB33, bitIndex2) <=> v124(constB33, bitIndex2)))),
% 8.56/6.09 inference(rewrite,[status(thm)],[])).
% 8.56/6.09 tff(12664,plain,
% 8.56/6.09 ((~![B: $i] : ((~less_3(B)) | (v121(constB33, B) <=> v124(constB33, B)))) | ((~less_3(bitIndex2)) | (v121(constB33, bitIndex2) <=> v124(constB33, bitIndex2)))),
% 8.56/6.09 inference(quant_inst,[status(thm)],[])).
% 8.56/6.09 tff(12665,plain,
% 8.56/6.09 ((~![B: $i] : ((~less_3(B)) | (v121(constB33, B) <=> v124(constB33, B)))) | (~less_3(bitIndex2)) | (v121(constB33, bitIndex2) <=> v124(constB33, bitIndex2))),
% 8.56/6.09 inference(modus_ponens,[status(thm)],[12664, 12663])).
% 8.56/6.09 tff(12666,plain,
% 8.56/6.09 (v121(constB33, bitIndex2) <=> v124(constB33, bitIndex2)),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[12665, 832, 12662])).
% 8.56/6.09 tff(12667,plain,
% 8.56/6.09 (((~![VarCurr: $i] : ((~v117(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b101(B))))) | ((~v117(constB33)) | ![B: $i] : ((~less_3(B)) | (v124(constB33, B) <=> b101(B))))) <=> ((~![VarCurr: $i] : ((~v117(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b101(B))))) | (~v117(constB33)) | ![B: $i] : ((~less_3(B)) | (v124(constB33, B) <=> b101(B))))),
% 8.56/6.09 inference(rewrite,[status(thm)],[])).
% 8.56/6.09 tff(12668,plain,
% 8.56/6.09 ((~![VarCurr: $i] : ((~v117(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b101(B))))) | ((~v117(constB33)) | ![B: $i] : ((~less_3(B)) | (v124(constB33, B) <=> b101(B))))),
% 8.56/6.09 inference(quant_inst,[status(thm)],[])).
% 8.56/6.09 tff(12669,plain,
% 8.56/6.09 ((~![VarCurr: $i] : ((~v117(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b101(B))))) | (~v117(constB33)) | ![B: $i] : ((~less_3(B)) | (v124(constB33, B) <=> b101(B)))),
% 8.56/6.09 inference(modus_ponens,[status(thm)],[12668, 12667])).
% 8.56/6.09 tff(12670,plain,
% 8.56/6.09 ((~v117(constB33)) | ![B: $i] : ((~less_3(B)) | (v124(constB33, B) <=> b101(B)))),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[12669, 10677])).
% 8.56/6.09 tff(12671,plain,
% 8.56/6.09 (![B: $i] : ((~less_3(B)) | (v124(constB33, B) <=> b101(B)))),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[12670, 12602])).
% 8.56/6.09 tff(12672,plain,
% 8.56/6.09 (((~![B: $i] : ((~less_3(B)) | (v124(constB33, B) <=> b101(B)))) | ((~less_3(bitIndex2)) | (v124(constB33, bitIndex2) <=> b101(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB33, B) <=> b101(B)))) | (~less_3(bitIndex2)) | (v124(constB33, bitIndex2) <=> b101(bitIndex2)))),
% 8.56/6.09 inference(rewrite,[status(thm)],[])).
% 8.56/6.09 tff(12673,plain,
% 8.56/6.09 ((~![B: $i] : ((~less_3(B)) | (v124(constB33, B) <=> b101(B)))) | ((~less_3(bitIndex2)) | (v124(constB33, bitIndex2) <=> b101(bitIndex2)))),
% 8.56/6.09 inference(quant_inst,[status(thm)],[])).
% 8.56/6.09 tff(12674,plain,
% 8.56/6.09 ((~![B: $i] : ((~less_3(B)) | (v124(constB33, B) <=> b101(B)))) | (~less_3(bitIndex2)) | (v124(constB33, bitIndex2) <=> b101(bitIndex2))),
% 8.56/6.09 inference(modus_ponens,[status(thm)],[12673, 12672])).
% 8.56/6.09 tff(12675,plain,
% 8.56/6.09 (v124(constB33, bitIndex2) <=> b101(bitIndex2)),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[12674, 832, 12671])).
% 8.56/6.09 tff(12676,plain,
% 8.56/6.09 ((~(v124(constB33, bitIndex2) <=> b101(bitIndex2))) | v124(constB33, bitIndex2) | (~b101(bitIndex2))),
% 8.56/6.09 inference(tautology,[status(thm)],[])).
% 8.56/6.09 tff(12677,plain,
% 8.56/6.09 ((~(v124(constB33, bitIndex2) <=> b101(bitIndex2))) | v124(constB33, bitIndex2)),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[12676, 10689])).
% 8.56/6.09 tff(12678,plain,
% 8.56/6.09 (v124(constB33, bitIndex2)),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[12677, 12675])).
% 8.56/6.09 tff(12679,plain,
% 8.56/6.09 ((~(v121(constB33, bitIndex2) <=> v124(constB33, bitIndex2))) | v121(constB33, bitIndex2) | (~v124(constB33, bitIndex2))),
% 8.56/6.09 inference(tautology,[status(thm)],[])).
% 8.56/6.09 tff(12680,plain,
% 8.56/6.09 (v121(constB33, bitIndex2)),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[12679, 12678, 12666])).
% 8.56/6.09 tff(12681,plain,
% 8.56/6.09 ((~(v123(constB34, bitIndex2) <=> v121(constB33, bitIndex2))) | v123(constB34, bitIndex2) | (~v121(constB33, bitIndex2))),
% 8.56/6.09 inference(tautology,[status(thm)],[])).
% 8.56/6.09 tff(12682,plain,
% 8.56/6.09 (v123(constB34, bitIndex2)),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[12681, 12680, 12658])).
% 8.56/6.09 tff(12683,plain,
% 8.56/6.09 ((~(v84(constB34, bitIndex2) <=> v123(constB34, bitIndex2))) | v84(constB34, bitIndex2) | (~v123(constB34, bitIndex2))),
% 8.56/6.09 inference(tautology,[status(thm)],[])).
% 8.56/6.09 tff(12684,plain,
% 8.56/6.09 (v84(constB34, bitIndex2)),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[12683, 12682, 12650])).
% 8.56/6.09 tff(12685,plain,
% 8.56/6.09 ((~(v84(constB35, bitIndex2) <=> v84(constB34, bitIndex2))) | v84(constB35, bitIndex2) | (~v84(constB34, bitIndex2))),
% 8.56/6.09 inference(tautology,[status(thm)],[])).
% 8.56/6.09 tff(12686,plain,
% 8.56/6.09 (v84(constB35, bitIndex2)),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[12685, 12684, 8203])).
% 8.56/6.09 tff(12687,plain,
% 8.56/6.09 (((~![B: $i] : ((~less_3(B)) | (v84(constB35, B) <=> v84(constB34, B)))) | ((~less_3(bitIndex0)) | (v84(constB35, bitIndex0) <=> v84(constB34, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB35, B) <=> v84(constB34, B)))) | (~less_3(bitIndex0)) | (v84(constB35, bitIndex0) <=> v84(constB34, bitIndex0)))),
% 8.56/6.09 inference(rewrite,[status(thm)],[])).
% 8.56/6.09 tff(12688,plain,
% 8.56/6.09 ((~![B: $i] : ((~less_3(B)) | (v84(constB35, B) <=> v84(constB34, B)))) | ((~less_3(bitIndex0)) | (v84(constB35, bitIndex0) <=> v84(constB34, bitIndex0)))),
% 8.56/6.09 inference(quant_inst,[status(thm)],[])).
% 8.56/6.09 tff(12689,plain,
% 8.56/6.09 ((~![B: $i] : ((~less_3(B)) | (v84(constB35, B) <=> v84(constB34, B)))) | (~less_3(bitIndex0)) | (v84(constB35, bitIndex0) <=> v84(constB34, bitIndex0))),
% 8.56/6.09 inference(modus_ponens,[status(thm)],[12688, 12687])).
% 8.56/6.09 tff(12690,plain,
% 8.56/6.09 (v84(constB35, bitIndex0) <=> v84(constB34, bitIndex0)),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[12689, 9772, 8199])).
% 8.56/6.09 tff(12691,plain,
% 8.56/6.09 (((~![B: $i] : ((~less_3(B)) | (v84(constB34, B) <=> v123(constB34, B)))) | ((~less_3(bitIndex0)) | (v84(constB34, bitIndex0) <=> v123(constB34, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB34, B) <=> v123(constB34, B)))) | (~less_3(bitIndex0)) | (v84(constB34, bitIndex0) <=> v123(constB34, bitIndex0)))),
% 8.56/6.09 inference(rewrite,[status(thm)],[])).
% 8.56/6.09 tff(12692,plain,
% 8.56/6.09 ((~![B: $i] : ((~less_3(B)) | (v84(constB34, B) <=> v123(constB34, B)))) | ((~less_3(bitIndex0)) | (v84(constB34, bitIndex0) <=> v123(constB34, bitIndex0)))),
% 8.56/6.09 inference(quant_inst,[status(thm)],[])).
% 8.56/6.09 tff(12693,plain,
% 8.56/6.09 ((~![B: $i] : ((~less_3(B)) | (v84(constB34, B) <=> v123(constB34, B)))) | (~less_3(bitIndex0)) | (v84(constB34, bitIndex0) <=> v123(constB34, bitIndex0))),
% 8.56/6.09 inference(modus_ponens,[status(thm)],[12692, 12691])).
% 8.56/6.09 tff(12694,plain,
% 8.56/6.09 (v84(constB34, bitIndex0) <=> v123(constB34, bitIndex0)),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[12693, 9772, 12646])).
% 8.56/6.09 tff(12695,plain,
% 8.56/6.09 (((~![B: $i] : ((~less_3(B)) | (v123(constB34, B) <=> v121(constB33, B)))) | ((~less_3(bitIndex0)) | (v123(constB34, bitIndex0) <=> v121(constB33, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB34, B) <=> v121(constB33, B)))) | (~less_3(bitIndex0)) | (v123(constB34, bitIndex0) <=> v121(constB33, bitIndex0)))),
% 8.56/6.09 inference(rewrite,[status(thm)],[])).
% 8.56/6.09 tff(12696,plain,
% 8.56/6.09 ((~![B: $i] : ((~less_3(B)) | (v123(constB34, B) <=> v121(constB33, B)))) | ((~less_3(bitIndex0)) | (v123(constB34, bitIndex0) <=> v121(constB33, bitIndex0)))),
% 8.56/6.09 inference(quant_inst,[status(thm)],[])).
% 8.56/6.09 tff(12697,plain,
% 8.56/6.09 ((~![B: $i] : ((~less_3(B)) | (v123(constB34, B) <=> v121(constB33, B)))) | (~less_3(bitIndex0)) | (v123(constB34, bitIndex0) <=> v121(constB33, bitIndex0))),
% 8.56/6.09 inference(modus_ponens,[status(thm)],[12696, 12695])).
% 8.56/6.09 tff(12698,plain,
% 8.56/6.09 (v123(constB34, bitIndex0) <=> v121(constB33, bitIndex0)),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[12697, 9772, 12654])).
% 8.56/6.09 tff(12699,plain,
% 8.56/6.09 (((~![B: $i] : ((~less_3(B)) | (v121(constB33, B) <=> v124(constB33, B)))) | ((~less_3(bitIndex0)) | (v121(constB33, bitIndex0) <=> v124(constB33, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB33, B) <=> v124(constB33, B)))) | (~less_3(bitIndex0)) | (v121(constB33, bitIndex0) <=> v124(constB33, bitIndex0)))),
% 8.56/6.09 inference(rewrite,[status(thm)],[])).
% 8.56/6.09 tff(12700,plain,
% 8.56/6.09 ((~![B: $i] : ((~less_3(B)) | (v121(constB33, B) <=> v124(constB33, B)))) | ((~less_3(bitIndex0)) | (v121(constB33, bitIndex0) <=> v124(constB33, bitIndex0)))),
% 8.56/6.09 inference(quant_inst,[status(thm)],[])).
% 8.56/6.09 tff(12701,plain,
% 8.56/6.09 ((~![B: $i] : ((~less_3(B)) | (v121(constB33, B) <=> v124(constB33, B)))) | (~less_3(bitIndex0)) | (v121(constB33, bitIndex0) <=> v124(constB33, bitIndex0))),
% 8.56/6.09 inference(modus_ponens,[status(thm)],[12700, 12699])).
% 8.56/6.09 tff(12702,plain,
% 8.56/6.09 (v121(constB33, bitIndex0) <=> v124(constB33, bitIndex0)),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[12701, 9772, 12662])).
% 8.56/6.09 tff(12703,plain,
% 8.56/6.09 (((~![B: $i] : ((~less_3(B)) | (v124(constB33, B) <=> b101(B)))) | ((~less_3(bitIndex0)) | (v124(constB33, bitIndex0) <=> b101(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB33, B) <=> b101(B)))) | (~less_3(bitIndex0)) | (v124(constB33, bitIndex0) <=> b101(bitIndex0)))),
% 8.56/6.09 inference(rewrite,[status(thm)],[])).
% 8.56/6.09 tff(12704,plain,
% 8.56/6.09 ((~![B: $i] : ((~less_3(B)) | (v124(constB33, B) <=> b101(B)))) | ((~less_3(bitIndex0)) | (v124(constB33, bitIndex0) <=> b101(bitIndex0)))),
% 8.56/6.09 inference(quant_inst,[status(thm)],[])).
% 8.56/6.09 tff(12705,plain,
% 8.56/6.09 ((~![B: $i] : ((~less_3(B)) | (v124(constB33, B) <=> b101(B)))) | (~less_3(bitIndex0)) | (v124(constB33, bitIndex0) <=> b101(bitIndex0))),
% 8.56/6.09 inference(modus_ponens,[status(thm)],[12704, 12703])).
% 8.56/6.09 tff(12706,plain,
% 8.56/6.09 (v124(constB33, bitIndex0) <=> b101(bitIndex0)),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[12705, 9772, 12671])).
% 8.56/6.09 tff(12707,plain,
% 8.56/6.09 ((~(v124(constB33, bitIndex0) <=> b101(bitIndex0))) | v124(constB33, bitIndex0) | (~b101(bitIndex0))),
% 8.56/6.09 inference(tautology,[status(thm)],[])).
% 8.56/6.09 tff(12708,plain,
% 8.56/6.09 ((~(v124(constB33, bitIndex0) <=> b101(bitIndex0))) | v124(constB33, bitIndex0)),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[12707, 10723])).
% 8.56/6.09 tff(12709,plain,
% 8.56/6.09 (v124(constB33, bitIndex0)),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[12708, 12706])).
% 8.56/6.09 tff(12710,plain,
% 8.56/6.09 ((~(v121(constB33, bitIndex0) <=> v124(constB33, bitIndex0))) | v121(constB33, bitIndex0) | (~v124(constB33, bitIndex0))),
% 8.56/6.09 inference(tautology,[status(thm)],[])).
% 8.56/6.09 tff(12711,plain,
% 8.56/6.09 (v121(constB33, bitIndex0)),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[12710, 12709, 12702])).
% 8.56/6.09 tff(12712,plain,
% 8.56/6.09 ((~(v123(constB34, bitIndex0) <=> v121(constB33, bitIndex0))) | v123(constB34, bitIndex0) | (~v121(constB33, bitIndex0))),
% 8.56/6.09 inference(tautology,[status(thm)],[])).
% 8.56/6.09 tff(12713,plain,
% 8.56/6.09 (v123(constB34, bitIndex0)),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[12712, 12711, 12698])).
% 8.56/6.09 tff(12714,plain,
% 8.56/6.09 ((~(v84(constB34, bitIndex0) <=> v123(constB34, bitIndex0))) | v84(constB34, bitIndex0) | (~v123(constB34, bitIndex0))),
% 8.56/6.09 inference(tautology,[status(thm)],[])).
% 8.56/6.09 tff(12715,plain,
% 8.56/6.09 (v84(constB34, bitIndex0)),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[12714, 12713, 12694])).
% 8.56/6.09 tff(12716,plain,
% 8.56/6.09 ((~(v84(constB35, bitIndex0) <=> v84(constB34, bitIndex0))) | v84(constB35, bitIndex0) | (~v84(constB34, bitIndex0))),
% 8.56/6.09 inference(tautology,[status(thm)],[])).
% 8.56/6.09 tff(12717,plain,
% 8.56/6.09 (v84(constB35, bitIndex0)),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[12716, 12715, 12690])).
% 8.56/6.09 tff(12718,plain,
% 8.56/6.09 (((~![B: $i] : ((~less_3(B)) | (v84(constB35, B) <=> v84(constB34, B)))) | ((~less_3(bitIndex1)) | (v84(constB35, bitIndex1) <=> v84(constB34, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB35, B) <=> v84(constB34, B)))) | (~less_3(bitIndex1)) | (v84(constB35, bitIndex1) <=> v84(constB34, bitIndex1)))),
% 8.56/6.09 inference(rewrite,[status(thm)],[])).
% 8.56/6.09 tff(12719,plain,
% 8.56/6.09 ((~![B: $i] : ((~less_3(B)) | (v84(constB35, B) <=> v84(constB34, B)))) | ((~less_3(bitIndex1)) | (v84(constB35, bitIndex1) <=> v84(constB34, bitIndex1)))),
% 8.56/6.09 inference(quant_inst,[status(thm)],[])).
% 8.56/6.09 tff(12720,plain,
% 8.56/6.09 ((~![B: $i] : ((~less_3(B)) | (v84(constB35, B) <=> v84(constB34, B)))) | (~less_3(bitIndex1)) | (v84(constB35, bitIndex1) <=> v84(constB34, bitIndex1))),
% 8.56/6.09 inference(modus_ponens,[status(thm)],[12719, 12718])).
% 8.56/6.09 tff(12721,plain,
% 8.56/6.09 (v84(constB35, bitIndex1) <=> v84(constB34, bitIndex1)),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[12720, 9785, 8199])).
% 8.56/6.09 tff(12722,plain,
% 8.56/6.09 (((~![B: $i] : ((~less_3(B)) | (v84(constB34, B) <=> v123(constB34, B)))) | ((~less_3(bitIndex1)) | (v84(constB34, bitIndex1) <=> v123(constB34, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB34, B) <=> v123(constB34, B)))) | (~less_3(bitIndex1)) | (v84(constB34, bitIndex1) <=> v123(constB34, bitIndex1)))),
% 8.56/6.09 inference(rewrite,[status(thm)],[])).
% 8.56/6.09 tff(12723,plain,
% 8.56/6.09 ((~![B: $i] : ((~less_3(B)) | (v84(constB34, B) <=> v123(constB34, B)))) | ((~less_3(bitIndex1)) | (v84(constB34, bitIndex1) <=> v123(constB34, bitIndex1)))),
% 8.56/6.09 inference(quant_inst,[status(thm)],[])).
% 8.56/6.09 tff(12724,plain,
% 8.56/6.09 ((~![B: $i] : ((~less_3(B)) | (v84(constB34, B) <=> v123(constB34, B)))) | (~less_3(bitIndex1)) | (v84(constB34, bitIndex1) <=> v123(constB34, bitIndex1))),
% 8.56/6.09 inference(modus_ponens,[status(thm)],[12723, 12722])).
% 8.56/6.09 tff(12725,plain,
% 8.56/6.09 (v84(constB34, bitIndex1) <=> v123(constB34, bitIndex1)),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[12724, 9785, 12646])).
% 8.56/6.09 tff(12726,plain,
% 8.56/6.09 (((~![B: $i] : ((~less_3(B)) | (v123(constB34, B) <=> v121(constB33, B)))) | ((~less_3(bitIndex1)) | (v123(constB34, bitIndex1) <=> v121(constB33, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB34, B) <=> v121(constB33, B)))) | (~less_3(bitIndex1)) | (v123(constB34, bitIndex1) <=> v121(constB33, bitIndex1)))),
% 8.56/6.09 inference(rewrite,[status(thm)],[])).
% 8.56/6.09 tff(12727,plain,
% 8.56/6.09 ((~![B: $i] : ((~less_3(B)) | (v123(constB34, B) <=> v121(constB33, B)))) | ((~less_3(bitIndex1)) | (v123(constB34, bitIndex1) <=> v121(constB33, bitIndex1)))),
% 8.56/6.09 inference(quant_inst,[status(thm)],[])).
% 8.56/6.09 tff(12728,plain,
% 8.56/6.09 ((~![B: $i] : ((~less_3(B)) | (v123(constB34, B) <=> v121(constB33, B)))) | (~less_3(bitIndex1)) | (v123(constB34, bitIndex1) <=> v121(constB33, bitIndex1))),
% 8.56/6.09 inference(modus_ponens,[status(thm)],[12727, 12726])).
% 8.56/6.09 tff(12729,plain,
% 8.56/6.09 (v123(constB34, bitIndex1) <=> v121(constB33, bitIndex1)),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[12728, 9785, 12654])).
% 8.56/6.09 tff(12730,plain,
% 8.56/6.09 (((~![B: $i] : ((~less_3(B)) | (v121(constB33, B) <=> v124(constB33, B)))) | ((~less_3(bitIndex1)) | (v121(constB33, bitIndex1) <=> v124(constB33, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB33, B) <=> v124(constB33, B)))) | (~less_3(bitIndex1)) | (v121(constB33, bitIndex1) <=> v124(constB33, bitIndex1)))),
% 8.56/6.09 inference(rewrite,[status(thm)],[])).
% 8.56/6.09 tff(12731,plain,
% 8.56/6.09 ((~![B: $i] : ((~less_3(B)) | (v121(constB33, B) <=> v124(constB33, B)))) | ((~less_3(bitIndex1)) | (v121(constB33, bitIndex1) <=> v124(constB33, bitIndex1)))),
% 8.56/6.09 inference(quant_inst,[status(thm)],[])).
% 8.56/6.09 tff(12732,plain,
% 8.56/6.09 ((~![B: $i] : ((~less_3(B)) | (v121(constB33, B) <=> v124(constB33, B)))) | (~less_3(bitIndex1)) | (v121(constB33, bitIndex1) <=> v124(constB33, bitIndex1))),
% 8.56/6.09 inference(modus_ponens,[status(thm)],[12731, 12730])).
% 8.56/6.09 tff(12733,plain,
% 8.56/6.09 (v121(constB33, bitIndex1) <=> v124(constB33, bitIndex1)),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[12732, 9785, 12662])).
% 8.56/6.09 tff(12734,plain,
% 8.56/6.09 (((~![B: $i] : ((~less_3(B)) | (v124(constB33, B) <=> b101(B)))) | ((~less_3(bitIndex1)) | (v124(constB33, bitIndex1) <=> b101(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB33, B) <=> b101(B)))) | (~less_3(bitIndex1)) | (v124(constB33, bitIndex1) <=> b101(bitIndex1)))),
% 8.56/6.09 inference(rewrite,[status(thm)],[])).
% 8.56/6.09 tff(12735,plain,
% 8.56/6.09 ((~![B: $i] : ((~less_3(B)) | (v124(constB33, B) <=> b101(B)))) | ((~less_3(bitIndex1)) | (v124(constB33, bitIndex1) <=> b101(bitIndex1)))),
% 8.56/6.09 inference(quant_inst,[status(thm)],[])).
% 8.56/6.09 tff(12736,plain,
% 8.56/6.09 ((~![B: $i] : ((~less_3(B)) | (v124(constB33, B) <=> b101(B)))) | (~less_3(bitIndex1)) | (v124(constB33, bitIndex1) <=> b101(bitIndex1))),
% 8.56/6.09 inference(modus_ponens,[status(thm)],[12735, 12734])).
% 8.56/6.09 tff(12737,plain,
% 8.56/6.09 (v124(constB33, bitIndex1) <=> b101(bitIndex1)),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[12736, 9785, 12671])).
% 8.56/6.09 tff(12738,plain,
% 8.56/6.09 ((~(v124(constB33, bitIndex1) <=> b101(bitIndex1))) | (~v124(constB33, bitIndex1)) | b101(bitIndex1)),
% 8.56/6.09 inference(tautology,[status(thm)],[])).
% 8.56/6.09 tff(12739,plain,
% 8.56/6.09 ((~(v124(constB33, bitIndex1) <=> b101(bitIndex1))) | (~v124(constB33, bitIndex1))),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[12738, 10757])).
% 8.56/6.09 tff(12740,plain,
% 8.56/6.09 (~v124(constB33, bitIndex1)),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[12739, 12737])).
% 8.56/6.09 tff(12741,plain,
% 8.56/6.09 ((~(v121(constB33, bitIndex1) <=> v124(constB33, bitIndex1))) | (~v121(constB33, bitIndex1)) | v124(constB33, bitIndex1)),
% 8.56/6.09 inference(tautology,[status(thm)],[])).
% 8.56/6.09 tff(12742,plain,
% 8.56/6.09 (~v121(constB33, bitIndex1)),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[12741, 12740, 12733])).
% 8.56/6.09 tff(12743,plain,
% 8.56/6.09 ((~(v123(constB34, bitIndex1) <=> v121(constB33, bitIndex1))) | (~v123(constB34, bitIndex1)) | v121(constB33, bitIndex1)),
% 8.56/6.09 inference(tautology,[status(thm)],[])).
% 8.56/6.09 tff(12744,plain,
% 8.56/6.09 (~v123(constB34, bitIndex1)),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[12743, 12742, 12729])).
% 8.56/6.09 tff(12745,plain,
% 8.56/6.09 ((~(v84(constB34, bitIndex1) <=> v123(constB34, bitIndex1))) | (~v84(constB34, bitIndex1)) | v123(constB34, bitIndex1)),
% 8.56/6.09 inference(tautology,[status(thm)],[])).
% 8.56/6.09 tff(12746,plain,
% 8.56/6.09 (~v84(constB34, bitIndex1)),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[12745, 12744, 12725])).
% 8.56/6.09 tff(12747,plain,
% 8.56/6.09 ((~(v84(constB35, bitIndex1) <=> v84(constB34, bitIndex1))) | (~v84(constB35, bitIndex1)) | v84(constB34, bitIndex1)),
% 8.56/6.09 inference(tautology,[status(thm)],[])).
% 8.56/6.09 tff(12748,plain,
% 8.56/6.09 (~v84(constB35, bitIndex1)),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[12747, 12746, 12721])).
% 8.56/6.09 tff(12749,plain,
% 8.56/6.09 ((~((~v84(constB35, bitIndex2)) | v84(constB35, bitIndex1) | (~v84(constB35, bitIndex0)))) | (~v84(constB35, bitIndex2)) | v84(constB35, bitIndex1) | (~v84(constB35, bitIndex0))),
% 8.56/6.09 inference(tautology,[status(thm)],[])).
% 8.56/6.09 tff(12750,plain,
% 8.56/6.09 (~((~v84(constB35, bitIndex2)) | v84(constB35, bitIndex1) | (~v84(constB35, bitIndex0)))),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[12749, 12748, 12717, 12686])).
% 8.56/6.09 tff(12751,plain,
% 8.56/6.09 ((~(v118(constB35) <=> (~((~v84(constB35, bitIndex2)) | v84(constB35, bitIndex1) | (~v84(constB35, bitIndex0)))))) | v118(constB35) | ((~v84(constB35, bitIndex2)) | v84(constB35, bitIndex1) | (~v84(constB35, bitIndex0)))),
% 8.56/6.09 inference(tautology,[status(thm)],[])).
% 8.56/6.09 tff(12752,plain,
% 8.56/6.09 (v118(constB35)),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[12751, 12750, 8171])).
% 8.56/6.09 tff(12753,plain,
% 8.56/6.09 ((v109(constB35) | v118(constB35)) | (~v118(constB35))),
% 8.56/6.09 inference(tautology,[status(thm)],[])).
% 8.56/6.09 tff(12754,plain,
% 8.56/6.09 (v109(constB35) | v118(constB35)),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[12753, 12752])).
% 8.56/6.09 tff(12755,plain,
% 8.56/6.09 ((~(v108(constB35) <=> (v109(constB35) | v118(constB35)))) | v108(constB35) | (~(v109(constB35) | v118(constB35)))),
% 8.56/6.09 inference(tautology,[status(thm)],[])).
% 8.56/6.09 tff(12756,plain,
% 8.56/6.09 (v108(constB35)),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[12755, 12754, 8164])).
% 8.56/6.09 tff(12757,plain,
% 8.56/6.09 ((v108(constB35) | v119(constB35)) | (~v108(constB35))),
% 8.56/6.09 inference(tautology,[status(thm)],[])).
% 8.56/6.09 tff(12758,plain,
% 8.56/6.09 (v108(constB35) | v119(constB35)),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[12757, 12756])).
% 8.56/6.09 tff(12759,plain,
% 8.56/6.09 ((~(v107(constB35) <=> (v108(constB35) | v119(constB35)))) | v107(constB35) | (~(v108(constB35) | v119(constB35)))),
% 8.56/6.09 inference(tautology,[status(thm)],[])).
% 8.56/6.09 tff(12760,plain,
% 8.56/6.09 (v107(constB35)),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[12759, 12758, 8162])).
% 8.56/6.09 tff(12761,plain,
% 8.56/6.09 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB35)) <=> v105(constB35))),
% 8.56/6.09 inference(quant_inst,[status(thm)],[])).
% 8.56/6.09 tff(12762,plain,
% 8.56/6.09 ((~v120(constB35)) <=> v105(constB35)),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[12761, 9842])).
% 8.56/6.09 tff(12763,plain,
% 8.56/6.09 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB35) <=> v26(constB35))),
% 8.56/6.09 inference(quant_inst,[status(thm)],[])).
% 8.56/6.09 tff(12764,plain,
% 8.56/6.09 (v105(constB35) <=> v26(constB35)),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[12763, 9854])).
% 8.56/6.09 tff(12765,plain,
% 8.56/6.09 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB35))),
% 8.56/6.09 inference(quant_inst,[status(thm)],[])).
% 8.56/6.09 tff(12766,plain,
% 8.56/6.09 (~v26(constB35)),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[12765, 9866])).
% 8.56/6.09 tff(12767,plain,
% 8.56/6.09 ((~(v105(constB35) <=> v26(constB35))) | (~v105(constB35)) | v26(constB35)),
% 8.56/6.09 inference(tautology,[status(thm)],[])).
% 8.56/6.09 tff(12768,plain,
% 8.56/6.09 ((~(v105(constB35) <=> v26(constB35))) | (~v105(constB35))),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[12767, 12766])).
% 8.56/6.09 tff(12769,plain,
% 8.56/6.09 (~v105(constB35)),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[12768, 12764])).
% 8.56/6.09 tff(12770,plain,
% 8.56/6.09 ((~((~v120(constB35)) <=> v105(constB35))) | v120(constB35) | v105(constB35)),
% 8.56/6.09 inference(tautology,[status(thm)],[])).
% 8.56/6.09 tff(12771,plain,
% 8.56/6.09 ((~((~v120(constB35)) <=> v105(constB35))) | v120(constB35)),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[12770, 12769])).
% 8.56/6.09 tff(12772,plain,
% 8.56/6.09 (v120(constB35)),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[12771, 12762])).
% 8.56/6.09 tff(12773,plain,
% 8.56/6.09 ((~((~v107(constB35)) | (~v120(constB35)))) | (~v107(constB35)) | (~v120(constB35))),
% 8.56/6.09 inference(tautology,[status(thm)],[])).
% 8.56/6.09 tff(12774,plain,
% 8.56/6.09 ((~((~v107(constB35)) | (~v120(constB35)))) | (~v107(constB35))),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[12773, 12772])).
% 8.56/6.09 tff(12775,plain,
% 8.56/6.09 (~((~v107(constB35)) | (~v120(constB35)))),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[12774, 12760])).
% 8.56/6.09 tff(12776,plain,
% 8.56/6.09 ((~(v106(constB35) <=> (~((~v107(constB35)) | (~v120(constB35)))))) | v106(constB35) | ((~v107(constB35)) | (~v120(constB35)))),
% 8.56/6.09 inference(tautology,[status(thm)],[])).
% 8.56/6.09 tff(12777,plain,
% 8.56/6.09 (v106(constB35)),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[12776, 12775, 8160])).
% 8.56/6.09 tff(12778,plain,
% 8.56/6.09 ((v105(constB35) | v106(constB35)) | (~v106(constB35))),
% 8.56/6.09 inference(tautology,[status(thm)],[])).
% 8.56/6.09 tff(12779,plain,
% 8.56/6.09 (v105(constB35) | v106(constB35)),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[12778, 12777])).
% 8.56/6.09 tff(12780,plain,
% 8.56/6.09 ((~(v102(constB35) <=> (v105(constB35) | v106(constB35)))) | v102(constB35) | (~(v105(constB35) | v106(constB35)))),
% 8.56/6.09 inference(tautology,[status(thm)],[])).
% 8.56/6.09 tff(12781,plain,
% 8.56/6.09 (v102(constB35)),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[12780, 12779, 8158])).
% 8.56/6.09 tff(12782,plain,
% 8.56/6.09 ((~(v104(constB36) <=> v102(constB35))) | v104(constB36) | (~v102(constB35))),
% 8.56/6.09 inference(tautology,[status(thm)],[])).
% 8.56/6.09 tff(12783,plain,
% 8.56/6.09 (v104(constB36)),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[12782, 12781, 8156])).
% 8.56/6.09 tff(12784,plain,
% 8.56/6.09 ((~((~v104(constB36)) | (~v95(constB36)))) | (~v104(constB36)) | (~v95(constB36))),
% 8.56/6.09 inference(tautology,[status(thm)],[])).
% 8.56/6.09 tff(12785,plain,
% 8.56/6.09 (~((~v104(constB36)) | (~v95(constB36)))),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[12784, 12783, 8152])).
% 8.56/6.09 tff(12786,plain,
% 8.56/6.09 ((~(v94(constB36) <=> (~((~v104(constB36)) | (~v95(constB36)))))) | v94(constB36) | ((~v104(constB36)) | (~v95(constB36)))),
% 8.56/6.09 inference(tautology,[status(thm)],[])).
% 8.56/6.09 tff(12787,plain,
% 8.56/6.09 (v94(constB36)),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[12786, 12785, 8121])).
% 8.56/6.09 tff(12788,plain,
% 8.56/6.09 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB36)) | ![B: $i] : ((~less_3(B)) | (v84(constB36, B) <=> v123(constB36, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB36)) | ![B: $i] : ((~less_3(B)) | (v84(constB36, B) <=> v123(constB36, B))))),
% 8.56/6.09 inference(rewrite,[status(thm)],[])).
% 8.56/6.09 tff(12789,plain,
% 8.56/6.09 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB36)) | ![B: $i] : ((~less_3(B)) | (v84(constB36, B) <=> v123(constB36, B))))),
% 8.56/6.09 inference(quant_inst,[status(thm)],[])).
% 8.56/6.09 tff(12790,plain,
% 8.56/6.09 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB36)) | ![B: $i] : ((~less_3(B)) | (v84(constB36, B) <=> v123(constB36, B)))),
% 8.56/6.09 inference(modus_ponens,[status(thm)],[12789, 12788])).
% 8.56/6.09 tff(12791,plain,
% 8.56/6.09 ((~v94(constB36)) | ![B: $i] : ((~less_3(B)) | (v84(constB36, B) <=> v123(constB36, B)))),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[12790, 9902])).
% 8.56/6.09 tff(12792,plain,
% 8.56/6.09 (![B: $i] : ((~less_3(B)) | (v84(constB36, B) <=> v123(constB36, B)))),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[12791, 12787])).
% 8.56/6.09 tff(12793,plain,
% 8.56/6.09 (((~![B: $i] : ((~less_3(B)) | (v84(constB36, B) <=> v123(constB36, B)))) | ((~less_3(bitIndex2)) | (v84(constB36, bitIndex2) <=> v123(constB36, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB36, B) <=> v123(constB36, B)))) | (~less_3(bitIndex2)) | (v84(constB36, bitIndex2) <=> v123(constB36, bitIndex2)))),
% 8.56/6.09 inference(rewrite,[status(thm)],[])).
% 8.56/6.09 tff(12794,plain,
% 8.56/6.09 ((~![B: $i] : ((~less_3(B)) | (v84(constB36, B) <=> v123(constB36, B)))) | ((~less_3(bitIndex2)) | (v84(constB36, bitIndex2) <=> v123(constB36, bitIndex2)))),
% 8.56/6.09 inference(quant_inst,[status(thm)],[])).
% 8.56/6.09 tff(12795,plain,
% 8.56/6.09 ((~![B: $i] : ((~less_3(B)) | (v84(constB36, B) <=> v123(constB36, B)))) | (~less_3(bitIndex2)) | (v84(constB36, bitIndex2) <=> v123(constB36, bitIndex2))),
% 8.56/6.09 inference(modus_ponens,[status(thm)],[12794, 12793])).
% 8.56/6.09 tff(12796,plain,
% 8.56/6.09 (v84(constB36, bitIndex2) <=> v123(constB36, bitIndex2)),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[12795, 832, 12792])).
% 8.56/6.09 tff(12797,plain,
% 8.56/6.09 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB35, constB36)) | ![B: $i] : ((~less_3(B)) | (v123(constB36, B) <=> v121(constB35, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB35, constB36)) | ![B: $i] : ((~less_3(B)) | (v123(constB36, B) <=> v121(constB35, B))))),
% 8.56/6.09 inference(rewrite,[status(thm)],[])).
% 8.56/6.09 tff(12798,plain,
% 8.56/6.09 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB35, constB36)) | ![B: $i] : ((~less_3(B)) | (v123(constB36, B) <=> v121(constB35, B))))),
% 8.56/6.09 inference(quant_inst,[status(thm)],[])).
% 8.56/6.09 tff(12799,plain,
% 8.56/6.09 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB35, constB36)) | ![B: $i] : ((~less_3(B)) | (v123(constB36, B) <=> v121(constB35, B)))),
% 8.56/6.09 inference(modus_ponens,[status(thm)],[12798, 12797])).
% 8.56/6.09 tff(12800,plain,
% 8.56/6.09 (![B: $i] : ((~less_3(B)) | (v123(constB36, B) <=> v121(constB35, B)))),
% 8.56/6.09 inference(unit_resolution,[status(thm)],[12799, 8117, 9924])).
% 8.56/6.10 tff(12801,plain,
% 8.56/6.10 (((~![B: $i] : ((~less_3(B)) | (v123(constB36, B) <=> v121(constB35, B)))) | ((~less_3(bitIndex2)) | (v123(constB36, bitIndex2) <=> v121(constB35, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB36, B) <=> v121(constB35, B)))) | (~less_3(bitIndex2)) | (v123(constB36, bitIndex2) <=> v121(constB35, bitIndex2)))),
% 8.56/6.10 inference(rewrite,[status(thm)],[])).
% 8.56/6.10 tff(12802,plain,
% 8.56/6.10 ((~![B: $i] : ((~less_3(B)) | (v123(constB36, B) <=> v121(constB35, B)))) | ((~less_3(bitIndex2)) | (v123(constB36, bitIndex2) <=> v121(constB35, bitIndex2)))),
% 8.56/6.10 inference(quant_inst,[status(thm)],[])).
% 8.56/6.10 tff(12803,plain,
% 8.56/6.10 ((~![B: $i] : ((~less_3(B)) | (v123(constB36, B) <=> v121(constB35, B)))) | (~less_3(bitIndex2)) | (v123(constB36, bitIndex2) <=> v121(constB35, bitIndex2))),
% 8.56/6.10 inference(modus_ponens,[status(thm)],[12802, 12801])).
% 8.56/6.10 tff(12804,plain,
% 8.56/6.10 (v123(constB36, bitIndex2) <=> v121(constB35, bitIndex2)),
% 8.56/6.10 inference(unit_resolution,[status(thm)],[12803, 832, 12800])).
% 8.56/6.10 tff(12805,plain,
% 8.56/6.10 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB35) | ![B: $i] : ((~less_3(B)) | (v121(constB35, B) <=> v124(constB35, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB35) | ![B: $i] : ((~less_3(B)) | (v121(constB35, B) <=> v124(constB35, B))))),
% 8.56/6.10 inference(rewrite,[status(thm)],[])).
% 8.56/6.10 tff(12806,plain,
% 8.56/6.10 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB35) | ![B: $i] : ((~less_3(B)) | (v121(constB35, B) <=> v124(constB35, B))))),
% 8.56/6.10 inference(quant_inst,[status(thm)],[])).
% 8.56/6.10 tff(12807,plain,
% 8.56/6.10 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB35) | ![B: $i] : ((~less_3(B)) | (v121(constB35, B) <=> v124(constB35, B)))),
% 8.56/6.10 inference(modus_ponens,[status(thm)],[12806, 12805])).
% 8.56/6.10 tff(12808,plain,
% 8.56/6.10 (![B: $i] : ((~less_3(B)) | (v121(constB35, B) <=> v124(constB35, B)))),
% 8.56/6.10 inference(unit_resolution,[status(thm)],[12807, 9945, 12769])).
% 8.56/6.10 tff(12809,plain,
% 8.56/6.10 (((~![B: $i] : ((~less_3(B)) | (v121(constB35, B) <=> v124(constB35, B)))) | ((~less_3(bitIndex2)) | (v121(constB35, bitIndex2) <=> v124(constB35, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB35, B) <=> v124(constB35, B)))) | (~less_3(bitIndex2)) | (v121(constB35, bitIndex2) <=> v124(constB35, bitIndex2)))),
% 8.56/6.10 inference(rewrite,[status(thm)],[])).
% 8.56/6.10 tff(12810,plain,
% 8.56/6.10 ((~![B: $i] : ((~less_3(B)) | (v121(constB35, B) <=> v124(constB35, B)))) | ((~less_3(bitIndex2)) | (v121(constB35, bitIndex2) <=> v124(constB35, bitIndex2)))),
% 8.56/6.10 inference(quant_inst,[status(thm)],[])).
% 8.56/6.10 tff(12811,plain,
% 8.56/6.10 ((~![B: $i] : ((~less_3(B)) | (v121(constB35, B) <=> v124(constB35, B)))) | (~less_3(bitIndex2)) | (v121(constB35, bitIndex2) <=> v124(constB35, bitIndex2))),
% 8.56/6.10 inference(modus_ponens,[status(thm)],[12810, 12809])).
% 8.56/6.10 tff(12812,plain,
% 8.56/6.10 (v121(constB35, bitIndex2) <=> v124(constB35, bitIndex2)),
% 8.56/6.10 inference(unit_resolution,[status(thm)],[12811, 832, 12808])).
% 8.56/6.10 tff(12813,plain,
% 8.56/6.10 (((~![VarCurr: $i] : ((~v118(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b110(B))))) | ((~v118(constB35)) | ![B: $i] : ((~less_3(B)) | (v124(constB35, B) <=> b110(B))))) <=> ((~![VarCurr: $i] : ((~v118(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b110(B))))) | (~v118(constB35)) | ![B: $i] : ((~less_3(B)) | (v124(constB35, B) <=> b110(B))))),
% 8.56/6.10 inference(rewrite,[status(thm)],[])).
% 8.56/6.10 tff(12814,plain,
% 8.56/6.10 ((~![VarCurr: $i] : ((~v118(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b110(B))))) | ((~v118(constB35)) | ![B: $i] : ((~less_3(B)) | (v124(constB35, B) <=> b110(B))))),
% 8.56/6.10 inference(quant_inst,[status(thm)],[])).
% 8.56/6.10 tff(12815,plain,
% 8.56/6.10 ((~![VarCurr: $i] : ((~v118(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b110(B))))) | (~v118(constB35)) | ![B: $i] : ((~less_3(B)) | (v124(constB35, B) <=> b110(B)))),
% 8.56/6.10 inference(modus_ponens,[status(thm)],[12814, 12813])).
% 8.56/6.10 tff(12816,plain,
% 8.56/6.10 ((~v118(constB35)) | ![B: $i] : ((~less_3(B)) | (v124(constB35, B) <=> b110(B)))),
% 8.56/6.10 inference(unit_resolution,[status(thm)],[12815, 10845])).
% 8.56/6.10 tff(12817,plain,
% 8.56/6.10 (![B: $i] : ((~less_3(B)) | (v124(constB35, B) <=> b110(B)))),
% 8.56/6.10 inference(unit_resolution,[status(thm)],[12816, 12752])).
% 8.56/6.10 tff(12818,plain,
% 8.56/6.10 (((~![B: $i] : ((~less_3(B)) | (v124(constB35, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v124(constB35, bitIndex2) <=> b110(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB35, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v124(constB35, bitIndex2) <=> b110(bitIndex2)))),
% 8.56/6.10 inference(rewrite,[status(thm)],[])).
% 8.56/6.10 tff(12819,plain,
% 8.56/6.10 ((~![B: $i] : ((~less_3(B)) | (v124(constB35, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v124(constB35, bitIndex2) <=> b110(bitIndex2)))),
% 8.56/6.10 inference(quant_inst,[status(thm)],[])).
% 8.56/6.10 tff(12820,plain,
% 8.56/6.10 ((~![B: $i] : ((~less_3(B)) | (v124(constB35, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v124(constB35, bitIndex2) <=> b110(bitIndex2))),
% 8.56/6.10 inference(modus_ponens,[status(thm)],[12819, 12818])).
% 8.56/6.10 tff(12821,plain,
% 8.56/6.10 (v124(constB35, bitIndex2) <=> b110(bitIndex2)),
% 8.56/6.10 inference(unit_resolution,[status(thm)],[12820, 832, 12817])).
% 8.56/6.10 tff(12822,plain,
% 8.56/6.10 ((~(v124(constB35, bitIndex2) <=> b110(bitIndex2))) | v124(constB35, bitIndex2) | (~b110(bitIndex2))),
% 8.56/6.10 inference(tautology,[status(thm)],[])).
% 8.56/6.10 tff(12823,plain,
% 8.56/6.10 ((~(v124(constB35, bitIndex2) <=> b110(bitIndex2))) | v124(constB35, bitIndex2)),
% 8.56/6.10 inference(unit_resolution,[status(thm)],[12822, 10857])).
% 8.56/6.10 tff(12824,plain,
% 8.56/6.10 (v124(constB35, bitIndex2)),
% 8.56/6.10 inference(unit_resolution,[status(thm)],[12823, 12821])).
% 8.56/6.10 tff(12825,plain,
% 8.56/6.10 ((~(v121(constB35, bitIndex2) <=> v124(constB35, bitIndex2))) | v121(constB35, bitIndex2) | (~v124(constB35, bitIndex2))),
% 8.56/6.10 inference(tautology,[status(thm)],[])).
% 8.56/6.10 tff(12826,plain,
% 8.56/6.10 (v121(constB35, bitIndex2)),
% 8.56/6.10 inference(unit_resolution,[status(thm)],[12825, 12824, 12812])).
% 8.56/6.10 tff(12827,plain,
% 8.56/6.10 ((~(v123(constB36, bitIndex2) <=> v121(constB35, bitIndex2))) | v123(constB36, bitIndex2) | (~v121(constB35, bitIndex2))),
% 8.56/6.10 inference(tautology,[status(thm)],[])).
% 8.56/6.10 tff(12828,plain,
% 8.56/6.10 (v123(constB36, bitIndex2)),
% 8.56/6.10 inference(unit_resolution,[status(thm)],[12827, 12826, 12804])).
% 8.56/6.10 tff(12829,plain,
% 8.56/6.10 ((~(v84(constB36, bitIndex2) <=> v123(constB36, bitIndex2))) | v84(constB36, bitIndex2) | (~v123(constB36, bitIndex2))),
% 8.56/6.10 inference(tautology,[status(thm)],[])).
% 8.56/6.10 tff(12830,plain,
% 8.56/6.10 (v84(constB36, bitIndex2)),
% 8.56/6.10 inference(unit_resolution,[status(thm)],[12829, 12828, 12796])).
% 8.56/6.10 tff(12831,plain,
% 8.56/6.10 ((~(v84(constB37, bitIndex2) <=> v84(constB36, bitIndex2))) | v84(constB37, bitIndex2) | (~v84(constB36, bitIndex2))),
% 8.56/6.10 inference(tautology,[status(thm)],[])).
% 8.56/6.10 tff(12832,plain,
% 8.56/6.10 (v84(constB37, bitIndex2)),
% 8.56/6.10 inference(unit_resolution,[status(thm)],[12831, 12830, 8114])).
% 8.56/6.10 tff(12833,plain,
% 8.56/6.10 (((~![B: $i] : ((~less_3(B)) | (v84(constB37, B) <=> v84(constB36, B)))) | ((~less_3(bitIndex0)) | (v84(constB37, bitIndex0) <=> v84(constB36, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB37, B) <=> v84(constB36, B)))) | (~less_3(bitIndex0)) | (v84(constB37, bitIndex0) <=> v84(constB36, bitIndex0)))),
% 8.56/6.10 inference(rewrite,[status(thm)],[])).
% 8.56/6.10 tff(12834,plain,
% 8.56/6.10 ((~![B: $i] : ((~less_3(B)) | (v84(constB37, B) <=> v84(constB36, B)))) | ((~less_3(bitIndex0)) | (v84(constB37, bitIndex0) <=> v84(constB36, bitIndex0)))),
% 8.56/6.10 inference(quant_inst,[status(thm)],[])).
% 8.56/6.10 tff(12835,plain,
% 8.56/6.10 ((~![B: $i] : ((~less_3(B)) | (v84(constB37, B) <=> v84(constB36, B)))) | (~less_3(bitIndex0)) | (v84(constB37, bitIndex0) <=> v84(constB36, bitIndex0))),
% 8.56/6.10 inference(modus_ponens,[status(thm)],[12834, 12833])).
% 8.56/6.10 tff(12836,plain,
% 8.56/6.10 (v84(constB37, bitIndex0) <=> v84(constB36, bitIndex0)),
% 8.56/6.10 inference(unit_resolution,[status(thm)],[12835, 9772, 8110])).
% 8.56/6.10 tff(12837,plain,
% 8.56/6.10 (((~![B: $i] : ((~less_3(B)) | (v84(constB36, B) <=> v123(constB36, B)))) | ((~less_3(bitIndex0)) | (v84(constB36, bitIndex0) <=> v123(constB36, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB36, B) <=> v123(constB36, B)))) | (~less_3(bitIndex0)) | (v84(constB36, bitIndex0) <=> v123(constB36, bitIndex0)))),
% 8.56/6.10 inference(rewrite,[status(thm)],[])).
% 8.56/6.10 tff(12838,plain,
% 8.56/6.10 ((~![B: $i] : ((~less_3(B)) | (v84(constB36, B) <=> v123(constB36, B)))) | ((~less_3(bitIndex0)) | (v84(constB36, bitIndex0) <=> v123(constB36, bitIndex0)))),
% 8.56/6.10 inference(quant_inst,[status(thm)],[])).
% 8.56/6.10 tff(12839,plain,
% 8.56/6.10 ((~![B: $i] : ((~less_3(B)) | (v84(constB36, B) <=> v123(constB36, B)))) | (~less_3(bitIndex0)) | (v84(constB36, bitIndex0) <=> v123(constB36, bitIndex0))),
% 8.56/6.10 inference(modus_ponens,[status(thm)],[12838, 12837])).
% 8.56/6.10 tff(12840,plain,
% 8.56/6.10 (v84(constB36, bitIndex0) <=> v123(constB36, bitIndex0)),
% 8.56/6.10 inference(unit_resolution,[status(thm)],[12839, 9772, 12792])).
% 8.56/6.10 tff(12841,plain,
% 8.56/6.10 (((~![B: $i] : ((~less_3(B)) | (v123(constB36, B) <=> v121(constB35, B)))) | ((~less_3(bitIndex0)) | (v123(constB36, bitIndex0) <=> v121(constB35, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB36, B) <=> v121(constB35, B)))) | (~less_3(bitIndex0)) | (v123(constB36, bitIndex0) <=> v121(constB35, bitIndex0)))),
% 8.56/6.10 inference(rewrite,[status(thm)],[])).
% 8.56/6.10 tff(12842,plain,
% 8.56/6.10 ((~![B: $i] : ((~less_3(B)) | (v123(constB36, B) <=> v121(constB35, B)))) | ((~less_3(bitIndex0)) | (v123(constB36, bitIndex0) <=> v121(constB35, bitIndex0)))),
% 8.56/6.10 inference(quant_inst,[status(thm)],[])).
% 8.56/6.10 tff(12843,plain,
% 8.56/6.10 ((~![B: $i] : ((~less_3(B)) | (v123(constB36, B) <=> v121(constB35, B)))) | (~less_3(bitIndex0)) | (v123(constB36, bitIndex0) <=> v121(constB35, bitIndex0))),
% 8.56/6.10 inference(modus_ponens,[status(thm)],[12842, 12841])).
% 8.56/6.10 tff(12844,plain,
% 8.56/6.10 (v123(constB36, bitIndex0) <=> v121(constB35, bitIndex0)),
% 8.56/6.10 inference(unit_resolution,[status(thm)],[12843, 9772, 12800])).
% 8.56/6.10 tff(12845,plain,
% 8.56/6.10 (((~![B: $i] : ((~less_3(B)) | (v121(constB35, B) <=> v124(constB35, B)))) | ((~less_3(bitIndex0)) | (v121(constB35, bitIndex0) <=> v124(constB35, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB35, B) <=> v124(constB35, B)))) | (~less_3(bitIndex0)) | (v121(constB35, bitIndex0) <=> v124(constB35, bitIndex0)))),
% 8.56/6.10 inference(rewrite,[status(thm)],[])).
% 8.56/6.10 tff(12846,plain,
% 8.56/6.10 ((~![B: $i] : ((~less_3(B)) | (v121(constB35, B) <=> v124(constB35, B)))) | ((~less_3(bitIndex0)) | (v121(constB35, bitIndex0) <=> v124(constB35, bitIndex0)))),
% 8.56/6.10 inference(quant_inst,[status(thm)],[])).
% 8.56/6.10 tff(12847,plain,
% 8.56/6.10 ((~![B: $i] : ((~less_3(B)) | (v121(constB35, B) <=> v124(constB35, B)))) | (~less_3(bitIndex0)) | (v121(constB35, bitIndex0) <=> v124(constB35, bitIndex0))),
% 8.56/6.10 inference(modus_ponens,[status(thm)],[12846, 12845])).
% 8.56/6.10 tff(12848,plain,
% 8.56/6.10 (v121(constB35, bitIndex0) <=> v124(constB35, bitIndex0)),
% 8.56/6.10 inference(unit_resolution,[status(thm)],[12847, 9772, 12808])).
% 8.56/6.10 tff(12849,plain,
% 8.56/6.10 (((~![B: $i] : ((~less_3(B)) | (v124(constB35, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v124(constB35, bitIndex0) <=> b110(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB35, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v124(constB35, bitIndex0) <=> b110(bitIndex0)))),
% 8.56/6.10 inference(rewrite,[status(thm)],[])).
% 8.56/6.10 tff(12850,plain,
% 8.56/6.10 ((~![B: $i] : ((~less_3(B)) | (v124(constB35, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v124(constB35, bitIndex0) <=> b110(bitIndex0)))),
% 8.56/6.10 inference(quant_inst,[status(thm)],[])).
% 8.56/6.10 tff(12851,plain,
% 8.56/6.10 ((~![B: $i] : ((~less_3(B)) | (v124(constB35, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v124(constB35, bitIndex0) <=> b110(bitIndex0))),
% 8.56/6.10 inference(modus_ponens,[status(thm)],[12850, 12849])).
% 8.56/6.10 tff(12852,plain,
% 8.56/6.10 (v124(constB35, bitIndex0) <=> b110(bitIndex0)),
% 8.56/6.10 inference(unit_resolution,[status(thm)],[12851, 9772, 12817])).
% 8.56/6.10 tff(12853,plain,
% 8.56/6.10 ((~(v124(constB35, bitIndex0) <=> b110(bitIndex0))) | (~v124(constB35, bitIndex0)) | b110(bitIndex0)),
% 8.56/6.10 inference(tautology,[status(thm)],[])).
% 8.56/6.10 tff(12854,plain,
% 8.56/6.10 ((~(v124(constB35, bitIndex0) <=> b110(bitIndex0))) | (~v124(constB35, bitIndex0))),
% 8.56/6.10 inference(unit_resolution,[status(thm)],[12853, 10891])).
% 8.56/6.10 tff(12855,plain,
% 8.56/6.10 (~v124(constB35, bitIndex0)),
% 8.56/6.10 inference(unit_resolution,[status(thm)],[12854, 12852])).
% 8.56/6.10 tff(12856,plain,
% 8.56/6.10 ((~(v121(constB35, bitIndex0) <=> v124(constB35, bitIndex0))) | (~v121(constB35, bitIndex0)) | v124(constB35, bitIndex0)),
% 8.56/6.10 inference(tautology,[status(thm)],[])).
% 8.56/6.10 tff(12857,plain,
% 8.56/6.10 (~v121(constB35, bitIndex0)),
% 8.56/6.10 inference(unit_resolution,[status(thm)],[12856, 12855, 12848])).
% 8.56/6.10 tff(12858,plain,
% 8.56/6.10 ((~(v123(constB36, bitIndex0) <=> v121(constB35, bitIndex0))) | (~v123(constB36, bitIndex0)) | v121(constB35, bitIndex0)),
% 8.56/6.10 inference(tautology,[status(thm)],[])).
% 8.56/6.10 tff(12859,plain,
% 8.56/6.10 (~v123(constB36, bitIndex0)),
% 8.56/6.10 inference(unit_resolution,[status(thm)],[12858, 12857, 12844])).
% 8.56/6.10 tff(12860,plain,
% 8.56/6.10 ((~(v84(constB36, bitIndex0) <=> v123(constB36, bitIndex0))) | (~v84(constB36, bitIndex0)) | v123(constB36, bitIndex0)),
% 8.56/6.10 inference(tautology,[status(thm)],[])).
% 8.56/6.10 tff(12861,plain,
% 8.56/6.10 (~v84(constB36, bitIndex0)),
% 8.56/6.10 inference(unit_resolution,[status(thm)],[12860, 12859, 12840])).
% 8.56/6.10 tff(12862,plain,
% 8.56/6.10 ((~(v84(constB37, bitIndex0) <=> v84(constB36, bitIndex0))) | (~v84(constB37, bitIndex0)) | v84(constB36, bitIndex0)),
% 8.56/6.10 inference(tautology,[status(thm)],[])).
% 8.56/6.10 tff(12863,plain,
% 8.56/6.10 (~v84(constB37, bitIndex0)),
% 8.56/6.10 inference(unit_resolution,[status(thm)],[12862, 12861, 12836])).
% 8.56/6.10 tff(12864,plain,
% 8.56/6.10 (((~![B: $i] : ((~less_3(B)) | (v84(constB37, B) <=> v84(constB36, B)))) | ((~less_3(bitIndex1)) | (v84(constB37, bitIndex1) <=> v84(constB36, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB37, B) <=> v84(constB36, B)))) | (~less_3(bitIndex1)) | (v84(constB37, bitIndex1) <=> v84(constB36, bitIndex1)))),
% 8.56/6.10 inference(rewrite,[status(thm)],[])).
% 8.56/6.10 tff(12865,plain,
% 8.56/6.10 ((~![B: $i] : ((~less_3(B)) | (v84(constB37, B) <=> v84(constB36, B)))) | ((~less_3(bitIndex1)) | (v84(constB37, bitIndex1) <=> v84(constB36, bitIndex1)))),
% 8.56/6.10 inference(quant_inst,[status(thm)],[])).
% 8.56/6.10 tff(12866,plain,
% 8.56/6.10 ((~![B: $i] : ((~less_3(B)) | (v84(constB37, B) <=> v84(constB36, B)))) | (~less_3(bitIndex1)) | (v84(constB37, bitIndex1) <=> v84(constB36, bitIndex1))),
% 8.56/6.10 inference(modus_ponens,[status(thm)],[12865, 12864])).
% 8.56/6.10 tff(12867,plain,
% 8.56/6.10 (v84(constB37, bitIndex1) <=> v84(constB36, bitIndex1)),
% 8.56/6.10 inference(unit_resolution,[status(thm)],[12866, 9785, 8110])).
% 8.56/6.10 tff(12868,plain,
% 8.56/6.10 (((~![B: $i] : ((~less_3(B)) | (v84(constB36, B) <=> v123(constB36, B)))) | ((~less_3(bitIndex1)) | (v84(constB36, bitIndex1) <=> v123(constB36, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB36, B) <=> v123(constB36, B)))) | (~less_3(bitIndex1)) | (v84(constB36, bitIndex1) <=> v123(constB36, bitIndex1)))),
% 8.56/6.10 inference(rewrite,[status(thm)],[])).
% 8.56/6.10 tff(12869,plain,
% 8.56/6.10 ((~![B: $i] : ((~less_3(B)) | (v84(constB36, B) <=> v123(constB36, B)))) | ((~less_3(bitIndex1)) | (v84(constB36, bitIndex1) <=> v123(constB36, bitIndex1)))),
% 8.56/6.10 inference(quant_inst,[status(thm)],[])).
% 8.56/6.10 tff(12870,plain,
% 8.56/6.10 ((~![B: $i] : ((~less_3(B)) | (v84(constB36, B) <=> v123(constB36, B)))) | (~less_3(bitIndex1)) | (v84(constB36, bitIndex1) <=> v123(constB36, bitIndex1))),
% 8.56/6.10 inference(modus_ponens,[status(thm)],[12869, 12868])).
% 8.56/6.10 tff(12871,plain,
% 8.56/6.10 (v84(constB36, bitIndex1) <=> v123(constB36, bitIndex1)),
% 8.56/6.10 inference(unit_resolution,[status(thm)],[12870, 9785, 12792])).
% 8.56/6.10 tff(12872,plain,
% 8.56/6.10 (((~![B: $i] : ((~less_3(B)) | (v123(constB36, B) <=> v121(constB35, B)))) | ((~less_3(bitIndex1)) | (v123(constB36, bitIndex1) <=> v121(constB35, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB36, B) <=> v121(constB35, B)))) | (~less_3(bitIndex1)) | (v123(constB36, bitIndex1) <=> v121(constB35, bitIndex1)))),
% 8.56/6.10 inference(rewrite,[status(thm)],[])).
% 8.56/6.10 tff(12873,plain,
% 8.56/6.10 ((~![B: $i] : ((~less_3(B)) | (v123(constB36, B) <=> v121(constB35, B)))) | ((~less_3(bitIndex1)) | (v123(constB36, bitIndex1) <=> v121(constB35, bitIndex1)))),
% 8.56/6.10 inference(quant_inst,[status(thm)],[])).
% 8.56/6.10 tff(12874,plain,
% 8.56/6.10 ((~![B: $i] : ((~less_3(B)) | (v123(constB36, B) <=> v121(constB35, B)))) | (~less_3(bitIndex1)) | (v123(constB36, bitIndex1) <=> v121(constB35, bitIndex1))),
% 8.56/6.10 inference(modus_ponens,[status(thm)],[12873, 12872])).
% 8.56/6.10 tff(12875,plain,
% 8.56/6.10 (v123(constB36, bitIndex1) <=> v121(constB35, bitIndex1)),
% 8.56/6.10 inference(unit_resolution,[status(thm)],[12874, 9785, 12800])).
% 8.56/6.10 tff(12876,plain,
% 8.56/6.10 (((~![B: $i] : ((~less_3(B)) | (v121(constB35, B) <=> v124(constB35, B)))) | ((~less_3(bitIndex1)) | (v121(constB35, bitIndex1) <=> v124(constB35, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB35, B) <=> v124(constB35, B)))) | (~less_3(bitIndex1)) | (v121(constB35, bitIndex1) <=> v124(constB35, bitIndex1)))),
% 8.56/6.10 inference(rewrite,[status(thm)],[])).
% 8.56/6.10 tff(12877,plain,
% 8.56/6.10 ((~![B: $i] : ((~less_3(B)) | (v121(constB35, B) <=> v124(constB35, B)))) | ((~less_3(bitIndex1)) | (v121(constB35, bitIndex1) <=> v124(constB35, bitIndex1)))),
% 8.56/6.10 inference(quant_inst,[status(thm)],[])).
% 8.56/6.10 tff(12878,plain,
% 8.56/6.10 ((~![B: $i] : ((~less_3(B)) | (v121(constB35, B) <=> v124(constB35, B)))) | (~less_3(bitIndex1)) | (v121(constB35, bitIndex1) <=> v124(constB35, bitIndex1))),
% 8.56/6.10 inference(modus_ponens,[status(thm)],[12877, 12876])).
% 8.56/6.10 tff(12879,plain,
% 8.56/6.10 (v121(constB35, bitIndex1) <=> v124(constB35, bitIndex1)),
% 8.56/6.10 inference(unit_resolution,[status(thm)],[12878, 9785, 12808])).
% 8.56/6.10 tff(12880,plain,
% 8.56/6.10 (((~![B: $i] : ((~less_3(B)) | (v124(constB35, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v124(constB35, bitIndex1) <=> b110(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB35, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v124(constB35, bitIndex1) <=> b110(bitIndex1)))),
% 8.56/6.10 inference(rewrite,[status(thm)],[])).
% 8.56/6.10 tff(12881,plain,
% 8.56/6.10 ((~![B: $i] : ((~less_3(B)) | (v124(constB35, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v124(constB35, bitIndex1) <=> b110(bitIndex1)))),
% 8.56/6.10 inference(quant_inst,[status(thm)],[])).
% 8.56/6.10 tff(12882,plain,
% 8.56/6.10 ((~![B: $i] : ((~less_3(B)) | (v124(constB35, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v124(constB35, bitIndex1) <=> b110(bitIndex1))),
% 8.56/6.10 inference(modus_ponens,[status(thm)],[12881, 12880])).
% 8.56/6.10 tff(12883,plain,
% 8.56/6.10 (v124(constB35, bitIndex1) <=> b110(bitIndex1)),
% 8.56/6.10 inference(unit_resolution,[status(thm)],[12882, 9785, 12817])).
% 8.56/6.10 tff(12884,plain,
% 8.56/6.10 ((~(v124(constB35, bitIndex1) <=> b110(bitIndex1))) | v124(constB35, bitIndex1) | (~b110(bitIndex1))),
% 8.56/6.10 inference(tautology,[status(thm)],[])).
% 8.56/6.10 tff(12885,plain,
% 8.56/6.10 ((~(v124(constB35, bitIndex1) <=> b110(bitIndex1))) | v124(constB35, bitIndex1)),
% 8.56/6.10 inference(unit_resolution,[status(thm)],[12884, 10925])).
% 8.56/6.10 tff(12886,plain,
% 8.56/6.10 (v124(constB35, bitIndex1)),
% 8.56/6.10 inference(unit_resolution,[status(thm)],[12885, 12883])).
% 8.56/6.10 tff(12887,plain,
% 8.56/6.10 ((~(v121(constB35, bitIndex1) <=> v124(constB35, bitIndex1))) | v121(constB35, bitIndex1) | (~v124(constB35, bitIndex1))),
% 8.56/6.10 inference(tautology,[status(thm)],[])).
% 8.56/6.10 tff(12888,plain,
% 8.56/6.10 (v121(constB35, bitIndex1)),
% 8.56/6.10 inference(unit_resolution,[status(thm)],[12887, 12886, 12879])).
% 8.56/6.10 tff(12889,plain,
% 8.56/6.10 ((~(v123(constB36, bitIndex1) <=> v121(constB35, bitIndex1))) | v123(constB36, bitIndex1) | (~v121(constB35, bitIndex1))),
% 8.56/6.10 inference(tautology,[status(thm)],[])).
% 8.56/6.10 tff(12890,plain,
% 8.56/6.10 (v123(constB36, bitIndex1)),
% 8.56/6.10 inference(unit_resolution,[status(thm)],[12889, 12888, 12875])).
% 8.56/6.10 tff(12891,plain,
% 8.56/6.10 ((~(v84(constB36, bitIndex1) <=> v123(constB36, bitIndex1))) | v84(constB36, bitIndex1) | (~v123(constB36, bitIndex1))),
% 8.56/6.10 inference(tautology,[status(thm)],[])).
% 8.56/6.10 tff(12892,plain,
% 8.56/6.10 (v84(constB36, bitIndex1)),
% 8.56/6.10 inference(unit_resolution,[status(thm)],[12891, 12890, 12871])).
% 8.56/6.10 tff(12893,plain,
% 8.56/6.10 ((~(v84(constB37, bitIndex1) <=> v84(constB36, bitIndex1))) | v84(constB37, bitIndex1) | (~v84(constB36, bitIndex1))),
% 8.56/6.10 inference(tautology,[status(thm)],[])).
% 8.56/6.10 tff(12894,plain,
% 8.56/6.10 (v84(constB37, bitIndex1)),
% 8.56/6.10 inference(unit_resolution,[status(thm)],[12893, 12892, 12867])).
% 8.56/6.10 tff(12895,plain,
% 8.56/6.10 ((~((~v84(constB37, bitIndex2)) | (~v84(constB37, bitIndex1)) | v84(constB37, bitIndex0))) | (~v84(constB37, bitIndex2)) | (~v84(constB37, bitIndex1)) | v84(constB37, bitIndex0)),
% 8.56/6.10 inference(tautology,[status(thm)],[])).
% 8.56/6.10 tff(12896,plain,
% 8.56/6.10 (~((~v84(constB37, bitIndex2)) | (~v84(constB37, bitIndex1)) | v84(constB37, bitIndex0))),
% 8.56/6.10 inference(unit_resolution,[status(thm)],[12895, 12894, 12863, 12832])).
% 8.56/6.10 tff(12897,plain,
% 8.56/6.10 ((~(v119(constB37) <=> (~((~v84(constB37, bitIndex2)) | (~v84(constB37, bitIndex1)) | v84(constB37, bitIndex0))))) | v119(constB37) | ((~v84(constB37, bitIndex2)) | (~v84(constB37, bitIndex1)) | v84(constB37, bitIndex0))),
% 8.56/6.10 inference(tautology,[status(thm)],[])).
% 8.56/6.10 tff(12898,plain,
% 8.56/6.10 (v119(constB37)),
% 8.56/6.10 inference(unit_resolution,[status(thm)],[12897, 12896, 8082])).
% 8.56/6.10 tff(12899,plain,
% 8.56/6.10 ((v108(constB37) | v119(constB37)) | (~v119(constB37))),
% 8.56/6.10 inference(tautology,[status(thm)],[])).
% 8.56/6.10 tff(12900,plain,
% 8.56/6.10 (v108(constB37) | v119(constB37)),
% 8.56/6.10 inference(unit_resolution,[status(thm)],[12899, 12898])).
% 8.56/6.10 tff(12901,plain,
% 8.56/6.10 ((~(v107(constB37) <=> (v108(constB37) | v119(constB37)))) | v107(constB37) | (~(v108(constB37) | v119(constB37)))),
% 8.56/6.10 inference(tautology,[status(thm)],[])).
% 8.56/6.10 tff(12902,plain,
% 8.56/6.10 (v107(constB37)),
% 8.56/6.10 inference(unit_resolution,[status(thm)],[12901, 12900, 8075])).
% 8.56/6.10 tff(12903,plain,
% 8.56/6.10 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB37)) <=> v105(constB37))),
% 8.56/6.10 inference(quant_inst,[status(thm)],[])).
% 8.56/6.10 tff(12904,plain,
% 8.56/6.10 ((~v120(constB37)) <=> v105(constB37)),
% 8.56/6.10 inference(unit_resolution,[status(thm)],[12903, 9842])).
% 8.56/6.10 tff(12905,plain,
% 8.56/6.10 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB37) <=> v26(constB37))),
% 8.56/6.10 inference(quant_inst,[status(thm)],[])).
% 8.56/6.10 tff(12906,plain,
% 8.56/6.10 (v105(constB37) <=> v26(constB37)),
% 8.56/6.10 inference(unit_resolution,[status(thm)],[12905, 9854])).
% 8.56/6.10 tff(12907,plain,
% 8.56/6.10 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB37))),
% 8.56/6.10 inference(quant_inst,[status(thm)],[])).
% 8.56/6.10 tff(12908,plain,
% 8.56/6.10 (~v26(constB37)),
% 8.56/6.10 inference(unit_resolution,[status(thm)],[12907, 9866])).
% 8.56/6.10 tff(12909,plain,
% 8.56/6.10 ((~(v105(constB37) <=> v26(constB37))) | (~v105(constB37)) | v26(constB37)),
% 8.56/6.10 inference(tautology,[status(thm)],[])).
% 8.56/6.10 tff(12910,plain,
% 8.56/6.10 ((~(v105(constB37) <=> v26(constB37))) | (~v105(constB37))),
% 8.56/6.10 inference(unit_resolution,[status(thm)],[12909, 12908])).
% 8.56/6.10 tff(12911,plain,
% 8.56/6.10 (~v105(constB37)),
% 8.56/6.10 inference(unit_resolution,[status(thm)],[12910, 12906])).
% 8.56/6.10 tff(12912,plain,
% 8.56/6.10 ((~((~v120(constB37)) <=> v105(constB37))) | v120(constB37) | v105(constB37)),
% 8.56/6.10 inference(tautology,[status(thm)],[])).
% 8.56/6.10 tff(12913,plain,
% 8.56/6.10 ((~((~v120(constB37)) <=> v105(constB37))) | v120(constB37)),
% 8.56/6.10 inference(unit_resolution,[status(thm)],[12912, 12911])).
% 8.56/6.10 tff(12914,plain,
% 8.56/6.10 (v120(constB37)),
% 8.56/6.10 inference(unit_resolution,[status(thm)],[12913, 12904])).
% 8.56/6.10 tff(12915,plain,
% 8.56/6.10 ((~((~v107(constB37)) | (~v120(constB37)))) | (~v107(constB37)) | (~v120(constB37))),
% 8.56/6.10 inference(tautology,[status(thm)],[])).
% 8.56/6.10 tff(12916,plain,
% 8.56/6.10 ((~((~v107(constB37)) | (~v120(constB37)))) | (~v107(constB37))),
% 8.56/6.10 inference(unit_resolution,[status(thm)],[12915, 12914])).
% 8.56/6.10 tff(12917,plain,
% 8.56/6.10 (~((~v107(constB37)) | (~v120(constB37)))),
% 8.56/6.10 inference(unit_resolution,[status(thm)],[12916, 12902])).
% 8.56/6.10 tff(12918,plain,
% 8.56/6.10 ((~(v106(constB37) <=> (~((~v107(constB37)) | (~v120(constB37)))))) | v106(constB37) | ((~v107(constB37)) | (~v120(constB37)))),
% 8.56/6.10 inference(tautology,[status(thm)],[])).
% 8.56/6.10 tff(12919,plain,
% 8.56/6.10 (v106(constB37)),
% 8.56/6.10 inference(unit_resolution,[status(thm)],[12918, 12917, 8073])).
% 8.56/6.10 tff(12920,plain,
% 8.56/6.10 ((v105(constB37) | v106(constB37)) | (~v106(constB37))),
% 8.56/6.10 inference(tautology,[status(thm)],[])).
% 8.56/6.10 tff(12921,plain,
% 8.56/6.10 (v105(constB37) | v106(constB37)),
% 8.56/6.10 inference(unit_resolution,[status(thm)],[12920, 12919])).
% 8.56/6.10 tff(12922,plain,
% 8.56/6.10 ((~(v102(constB37) <=> (v105(constB37) | v106(constB37)))) | v102(constB37) | (~(v105(constB37) | v106(constB37)))),
% 8.56/6.10 inference(tautology,[status(thm)],[])).
% 8.56/6.10 tff(12923,plain,
% 8.56/6.10 (v102(constB37)),
% 8.56/6.10 inference(unit_resolution,[status(thm)],[12922, 12921, 8071])).
% 8.56/6.10 tff(12924,plain,
% 8.56/6.10 ((~(v104(constB38) <=> v102(constB37))) | v104(constB38) | (~v102(constB37))),
% 8.56/6.10 inference(tautology,[status(thm)],[])).
% 8.56/6.10 tff(12925,plain,
% 8.56/6.10 (v104(constB38)),
% 8.56/6.10 inference(unit_resolution,[status(thm)],[12924, 12923, 8069])).
% 8.56/6.10 tff(12926,plain,
% 8.56/6.10 ((~((~v104(constB38)) | (~v95(constB38)))) | (~v104(constB38)) | (~v95(constB38))),
% 8.56/6.10 inference(tautology,[status(thm)],[])).
% 8.56/6.10 tff(12927,plain,
% 8.56/6.10 (~((~v104(constB38)) | (~v95(constB38)))),
% 8.56/6.10 inference(unit_resolution,[status(thm)],[12926, 12925, 8065])).
% 8.56/6.10 tff(12928,plain,
% 8.56/6.10 ((~(v94(constB38) <=> (~((~v104(constB38)) | (~v95(constB38)))))) | v94(constB38) | ((~v104(constB38)) | (~v95(constB38)))),
% 8.56/6.10 inference(tautology,[status(thm)],[])).
% 8.56/6.10 tff(12929,plain,
% 8.56/6.10 (v94(constB38)),
% 8.56/6.10 inference(unit_resolution,[status(thm)],[12928, 12927, 8034])).
% 8.56/6.10 tff(12930,plain,
% 8.56/6.10 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB38)) | ![B: $i] : ((~less_3(B)) | (v84(constB38, B) <=> v123(constB38, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB38)) | ![B: $i] : ((~less_3(B)) | (v84(constB38, B) <=> v123(constB38, B))))),
% 8.56/6.10 inference(rewrite,[status(thm)],[])).
% 8.56/6.10 tff(12931,plain,
% 8.56/6.10 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB38)) | ![B: $i] : ((~less_3(B)) | (v84(constB38, B) <=> v123(constB38, B))))),
% 8.56/6.10 inference(quant_inst,[status(thm)],[])).
% 8.56/6.10 tff(12932,plain,
% 8.56/6.10 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB38)) | ![B: $i] : ((~less_3(B)) | (v84(constB38, B) <=> v123(constB38, B)))),
% 8.56/6.10 inference(modus_ponens,[status(thm)],[12931, 12930])).
% 8.56/6.10 tff(12933,plain,
% 8.56/6.10 ((~v94(constB38)) | ![B: $i] : ((~less_3(B)) | (v84(constB38, B) <=> v123(constB38, B)))),
% 8.56/6.10 inference(unit_resolution,[status(thm)],[12932, 9902])).
% 8.56/6.10 tff(12934,plain,
% 8.56/6.10 (![B: $i] : ((~less_3(B)) | (v84(constB38, B) <=> v123(constB38, B)))),
% 8.56/6.10 inference(unit_resolution,[status(thm)],[12933, 12929])).
% 8.56/6.10 tff(12935,plain,
% 8.56/6.10 (((~![B: $i] : ((~less_3(B)) | (v84(constB38, B) <=> v123(constB38, B)))) | ((~less_3(bitIndex2)) | (v84(constB38, bitIndex2) <=> v123(constB38, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB38, B) <=> v123(constB38, B)))) | (~less_3(bitIndex2)) | (v84(constB38, bitIndex2) <=> v123(constB38, bitIndex2)))),
% 8.56/6.10 inference(rewrite,[status(thm)],[])).
% 8.56/6.10 tff(12936,plain,
% 8.56/6.10 ((~![B: $i] : ((~less_3(B)) | (v84(constB38, B) <=> v123(constB38, B)))) | ((~less_3(bitIndex2)) | (v84(constB38, bitIndex2) <=> v123(constB38, bitIndex2)))),
% 8.56/6.10 inference(quant_inst,[status(thm)],[])).
% 8.56/6.10 tff(12937,plain,
% 8.56/6.10 ((~![B: $i] : ((~less_3(B)) | (v84(constB38, B) <=> v123(constB38, B)))) | (~less_3(bitIndex2)) | (v84(constB38, bitIndex2) <=> v123(constB38, bitIndex2))),
% 8.56/6.10 inference(modus_ponens,[status(thm)],[12936, 12935])).
% 8.56/6.10 tff(12938,plain,
% 8.56/6.10 (v84(constB38, bitIndex2) <=> v123(constB38, bitIndex2)),
% 8.56/6.10 inference(unit_resolution,[status(thm)],[12937, 832, 12934])).
% 8.56/6.10 tff(12939,plain,
% 8.56/6.10 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB37, constB38)) | ![B: $i] : ((~less_3(B)) | (v123(constB38, B) <=> v121(constB37, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB37, constB38)) | ![B: $i] : ((~less_3(B)) | (v123(constB38, B) <=> v121(constB37, B))))),
% 8.56/6.10 inference(rewrite,[status(thm)],[])).
% 8.56/6.10 tff(12940,plain,
% 8.56/6.10 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB37, constB38)) | ![B: $i] : ((~less_3(B)) | (v123(constB38, B) <=> v121(constB37, B))))),
% 8.56/6.10 inference(quant_inst,[status(thm)],[])).
% 8.56/6.10 tff(12941,plain,
% 8.56/6.10 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB37, constB38)) | ![B: $i] : ((~less_3(B)) | (v123(constB38, B) <=> v121(constB37, B)))),
% 8.56/6.10 inference(modus_ponens,[status(thm)],[12940, 12939])).
% 8.56/6.10 tff(12942,plain,
% 8.56/6.10 (![B: $i] : ((~less_3(B)) | (v123(constB38, B) <=> v121(constB37, B)))),
% 8.56/6.10 inference(unit_resolution,[status(thm)],[12941, 8030, 9924])).
% 8.56/6.10 tff(12943,plain,
% 8.56/6.10 (((~![B: $i] : ((~less_3(B)) | (v123(constB38, B) <=> v121(constB37, B)))) | ((~less_3(bitIndex2)) | (v123(constB38, bitIndex2) <=> v121(constB37, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB38, B) <=> v121(constB37, B)))) | (~less_3(bitIndex2)) | (v123(constB38, bitIndex2) <=> v121(constB37, bitIndex2)))),
% 8.56/6.10 inference(rewrite,[status(thm)],[])).
% 8.56/6.10 tff(12944,plain,
% 8.56/6.10 ((~![B: $i] : ((~less_3(B)) | (v123(constB38, B) <=> v121(constB37, B)))) | ((~less_3(bitIndex2)) | (v123(constB38, bitIndex2) <=> v121(constB37, bitIndex2)))),
% 8.56/6.10 inference(quant_inst,[status(thm)],[])).
% 8.56/6.10 tff(12945,plain,
% 8.56/6.10 ((~![B: $i] : ((~less_3(B)) | (v123(constB38, B) <=> v121(constB37, B)))) | (~less_3(bitIndex2)) | (v123(constB38, bitIndex2) <=> v121(constB37, bitIndex2))),
% 8.56/6.10 inference(modus_ponens,[status(thm)],[12944, 12943])).
% 8.56/6.10 tff(12946,plain,
% 8.56/6.10 (v123(constB38, bitIndex2) <=> v121(constB37, bitIndex2)),
% 8.56/6.10 inference(unit_resolution,[status(thm)],[12945, 832, 12942])).
% 8.56/6.10 tff(12947,plain,
% 8.56/6.10 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB37) | ![B: $i] : ((~less_3(B)) | (v121(constB37, B) <=> v124(constB37, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB37) | ![B: $i] : ((~less_3(B)) | (v121(constB37, B) <=> v124(constB37, B))))),
% 8.56/6.10 inference(rewrite,[status(thm)],[])).
% 8.56/6.10 tff(12948,plain,
% 8.56/6.10 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB37) | ![B: $i] : ((~less_3(B)) | (v121(constB37, B) <=> v124(constB37, B))))),
% 8.56/6.10 inference(quant_inst,[status(thm)],[])).
% 8.56/6.10 tff(12949,plain,
% 8.56/6.10 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB37) | ![B: $i] : ((~less_3(B)) | (v121(constB37, B) <=> v124(constB37, B)))),
% 8.56/6.10 inference(modus_ponens,[status(thm)],[12948, 12947])).
% 8.56/6.10 tff(12950,plain,
% 8.56/6.10 (![B: $i] : ((~less_3(B)) | (v121(constB37, B) <=> v124(constB37, B)))),
% 8.56/6.10 inference(unit_resolution,[status(thm)],[12949, 9945, 12911])).
% 8.56/6.10 tff(12951,plain,
% 8.56/6.10 (((~![B: $i] : ((~less_3(B)) | (v121(constB37, B) <=> v124(constB37, B)))) | ((~less_3(bitIndex2)) | (v121(constB37, bitIndex2) <=> v124(constB37, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB37, B) <=> v124(constB37, B)))) | (~less_3(bitIndex2)) | (v121(constB37, bitIndex2) <=> v124(constB37, bitIndex2)))),
% 8.56/6.10 inference(rewrite,[status(thm)],[])).
% 8.56/6.10 tff(12952,plain,
% 8.56/6.10 ((~![B: $i] : ((~less_3(B)) | (v121(constB37, B) <=> v124(constB37, B)))) | ((~less_3(bitIndex2)) | (v121(constB37, bitIndex2) <=> v124(constB37, bitIndex2)))),
% 8.56/6.10 inference(quant_inst,[status(thm)],[])).
% 8.56/6.10 tff(12953,plain,
% 8.56/6.10 ((~![B: $i] : ((~less_3(B)) | (v121(constB37, B) <=> v124(constB37, B)))) | (~less_3(bitIndex2)) | (v121(constB37, bitIndex2) <=> v124(constB37, bitIndex2))),
% 8.56/6.10 inference(modus_ponens,[status(thm)],[12952, 12951])).
% 8.56/6.10 tff(12954,plain,
% 8.56/6.10 (v121(constB37, bitIndex2) <=> v124(constB37, bitIndex2)),
% 8.56/6.10 inference(unit_resolution,[status(thm)],[12953, 832, 12950])).
% 8.56/6.10 tff(12955,plain,
% 8.56/6.10 ((~![VarCurr: $i] : (v113(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))))) | (v113(constB37) <=> (~(v84(constB37, bitIndex0) | v84(constB37, bitIndex1) | v84(constB37, bitIndex2))))),
% 8.56/6.10 inference(quant_inst,[status(thm)],[])).
% 8.56/6.10 tff(12956,plain,
% 8.56/6.10 (v113(constB37) <=> (~(v84(constB37, bitIndex0) | v84(constB37, bitIndex1) | v84(constB37, bitIndex2)))),
% 8.56/6.10 inference(unit_resolution,[status(thm)],[12955, 9739])).
% 8.56/6.10 tff(12957,plain,
% 8.56/6.10 ((v84(constB37, bitIndex0) | v84(constB37, bitIndex1) | v84(constB37, bitIndex2)) | (~v84(constB37, bitIndex2))),
% 8.56/6.10 inference(tautology,[status(thm)],[])).
% 8.56/6.10 tff(12958,plain,
% 8.56/6.10 (v84(constB37, bitIndex0) | v84(constB37, bitIndex1) | v84(constB37, bitIndex2)),
% 8.56/6.11 inference(unit_resolution,[status(thm)],[12957, 12832])).
% 8.56/6.11 tff(12959,plain,
% 8.56/6.11 ((~(v113(constB37) <=> (~(v84(constB37, bitIndex0) | v84(constB37, bitIndex1) | v84(constB37, bitIndex2))))) | (~v113(constB37)) | (~(v84(constB37, bitIndex0) | v84(constB37, bitIndex1) | v84(constB37, bitIndex2)))),
% 8.56/6.11 inference(tautology,[status(thm)],[])).
% 8.56/6.11 tff(12960,plain,
% 8.56/6.11 (~v113(constB37)),
% 8.56/6.11 inference(unit_resolution,[status(thm)],[12959, 12958, 12956])).
% 8.56/6.11 tff(12961,plain,
% 8.56/6.11 (((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB37) <=> (~((~v84(constB37, bitIndex2)) | v84(constB37, bitIndex1) | (~v84(constB37, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB37) <=> (~((~v84(constB37, bitIndex2)) | v84(constB37, bitIndex1) | (~v84(constB37, bitIndex0))))))),
% 8.56/6.11 inference(rewrite,[status(thm)],[])).
% 8.56/6.11 tff(12962,plain,
% 8.56/6.11 ((v118(constB37) <=> (~(v84(constB37, bitIndex1) | (~v84(constB37, bitIndex0)) | (~v84(constB37, bitIndex2))))) <=> (v118(constB37) <=> (~((~v84(constB37, bitIndex2)) | v84(constB37, bitIndex1) | (~v84(constB37, bitIndex0)))))),
% 8.56/6.11 inference(rewrite,[status(thm)],[])).
% 8.56/6.11 tff(12963,plain,
% 8.56/6.11 (((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB37) <=> (~(v84(constB37, bitIndex1) | (~v84(constB37, bitIndex0)) | (~v84(constB37, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB37) <=> (~((~v84(constB37, bitIndex2)) | v84(constB37, bitIndex1) | (~v84(constB37, bitIndex0))))))),
% 8.56/6.11 inference(monotonicity,[status(thm)],[12962])).
% 8.56/6.11 tff(12964,plain,
% 8.56/6.11 (((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB37) <=> (~(v84(constB37, bitIndex1) | (~v84(constB37, bitIndex0)) | (~v84(constB37, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB37) <=> (~((~v84(constB37, bitIndex2)) | v84(constB37, bitIndex1) | (~v84(constB37, bitIndex0))))))),
% 8.56/6.11 inference(transitivity,[status(thm)],[12963, 12961])).
% 8.56/6.11 tff(12965,plain,
% 8.56/6.11 ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB37) <=> (~(v84(constB37, bitIndex1) | (~v84(constB37, bitIndex0)) | (~v84(constB37, bitIndex2)))))),
% 8.56/6.11 inference(quant_inst,[status(thm)],[])).
% 8.56/6.11 tff(12966,plain,
% 8.56/6.11 ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB37) <=> (~((~v84(constB37, bitIndex2)) | v84(constB37, bitIndex1) | (~v84(constB37, bitIndex0)))))),
% 8.56/6.11 inference(modus_ponens,[status(thm)],[12965, 12964])).
% 8.56/6.11 tff(12967,plain,
% 8.56/6.11 (v118(constB37) <=> (~((~v84(constB37, bitIndex2)) | v84(constB37, bitIndex1) | (~v84(constB37, bitIndex0))))),
% 8.56/6.11 inference(unit_resolution,[status(thm)],[12966, 960])).
% 8.56/6.11 tff(12968,plain,
% 8.56/6.11 (((~v84(constB37, bitIndex2)) | v84(constB37, bitIndex1) | (~v84(constB37, bitIndex0))) | (~v84(constB37, bitIndex1))),
% 8.56/6.11 inference(tautology,[status(thm)],[])).
% 8.56/6.11 tff(12969,plain,
% 8.56/6.11 ((~v84(constB37, bitIndex2)) | v84(constB37, bitIndex1) | (~v84(constB37, bitIndex0))),
% 8.56/6.11 inference(unit_resolution,[status(thm)],[12968, 12894])).
% 8.56/6.11 tff(12970,plain,
% 8.56/6.11 ((~(v118(constB37) <=> (~((~v84(constB37, bitIndex2)) | v84(constB37, bitIndex1) | (~v84(constB37, bitIndex0)))))) | (~v118(constB37)) | (~((~v84(constB37, bitIndex2)) | v84(constB37, bitIndex1) | (~v84(constB37, bitIndex0))))),
% 8.56/6.11 inference(tautology,[status(thm)],[])).
% 8.56/6.11 tff(12971,plain,
% 8.56/6.11 (~v118(constB37)),
% 8.56/6.11 inference(unit_resolution,[status(thm)],[12970, 12969, 12967])).
% 8.56/6.11 tff(12972,plain,
% 8.56/6.11 (((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB37) <=> (~((~v84(constB37, bitIndex2)) | v84(constB37, bitIndex1) | v84(constB37, bitIndex0))))) <=> ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB37) <=> (~((~v84(constB37, bitIndex2)) | v84(constB37, bitIndex1) | v84(constB37, bitIndex0)))))),
% 8.56/6.11 inference(rewrite,[status(thm)],[])).
% 8.56/6.11 tff(12973,plain,
% 8.56/6.11 ((v117(constB37) <=> (~(v84(constB37, bitIndex0) | v84(constB37, bitIndex1) | (~v84(constB37, bitIndex2))))) <=> (v117(constB37) <=> (~((~v84(constB37, bitIndex2)) | v84(constB37, bitIndex1) | v84(constB37, bitIndex0))))),
% 8.56/6.11 inference(rewrite,[status(thm)],[])).
% 8.56/6.11 tff(12974,plain,
% 8.56/6.11 (((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB37) <=> (~(v84(constB37, bitIndex0) | v84(constB37, bitIndex1) | (~v84(constB37, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB37) <=> (~((~v84(constB37, bitIndex2)) | v84(constB37, bitIndex1) | v84(constB37, bitIndex0)))))),
% 8.56/6.11 inference(monotonicity,[status(thm)],[12973])).
% 8.56/6.11 tff(12975,plain,
% 8.56/6.11 (((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB37) <=> (~(v84(constB37, bitIndex0) | v84(constB37, bitIndex1) | (~v84(constB37, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB37) <=> (~((~v84(constB37, bitIndex2)) | v84(constB37, bitIndex1) | v84(constB37, bitIndex0)))))),
% 8.56/6.11 inference(transitivity,[status(thm)],[12974, 12972])).
% 8.56/6.11 tff(12976,plain,
% 8.56/6.11 ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB37) <=> (~(v84(constB37, bitIndex0) | v84(constB37, bitIndex1) | (~v84(constB37, bitIndex2)))))),
% 8.56/6.11 inference(quant_inst,[status(thm)],[])).
% 8.56/6.11 tff(12977,plain,
% 8.56/6.11 ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB37) <=> (~((~v84(constB37, bitIndex2)) | v84(constB37, bitIndex1) | v84(constB37, bitIndex0))))),
% 8.56/6.11 inference(modus_ponens,[status(thm)],[12976, 12975])).
% 8.56/6.11 tff(12978,plain,
% 8.56/6.11 (v117(constB37) <=> (~((~v84(constB37, bitIndex2)) | v84(constB37, bitIndex1) | v84(constB37, bitIndex0)))),
% 8.56/6.11 inference(unit_resolution,[status(thm)],[12977, 1071])).
% 8.56/6.11 tff(12979,plain,
% 8.56/6.11 (((~v84(constB37, bitIndex2)) | v84(constB37, bitIndex1) | v84(constB37, bitIndex0)) | (~v84(constB37, bitIndex1))),
% 8.56/6.11 inference(tautology,[status(thm)],[])).
% 8.56/6.11 tff(12980,plain,
% 8.56/6.11 ((~v84(constB37, bitIndex2)) | v84(constB37, bitIndex1) | v84(constB37, bitIndex0)),
% 8.56/6.11 inference(unit_resolution,[status(thm)],[12979, 12894])).
% 8.56/6.11 tff(12981,plain,
% 8.56/6.11 ((~(v117(constB37) <=> (~((~v84(constB37, bitIndex2)) | v84(constB37, bitIndex1) | v84(constB37, bitIndex0))))) | (~v117(constB37)) | (~((~v84(constB37, bitIndex2)) | v84(constB37, bitIndex1) | v84(constB37, bitIndex0)))),
% 8.56/6.11 inference(tautology,[status(thm)],[])).
% 8.56/6.11 tff(12982,plain,
% 8.56/6.11 (~v117(constB37)),
% 8.56/6.11 inference(unit_resolution,[status(thm)],[12981, 12980, 12978])).
% 8.56/6.11 tff(12983,plain,
% 8.56/6.11 ((~![VarCurr: $i] : (v116(VarCurr) <=> (~(v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex0)))))) | (v116(constB37) <=> (~(v84(constB37, bitIndex2) | (~v84(constB37, bitIndex1)) | (~v84(constB37, bitIndex0)))))),
% 8.56/6.11 inference(quant_inst,[status(thm)],[])).
% 8.56/6.11 tff(12984,plain,
% 8.56/6.11 (v116(constB37) <=> (~(v84(constB37, bitIndex2) | (~v84(constB37, bitIndex1)) | (~v84(constB37, bitIndex0))))),
% 8.56/6.11 inference(unit_resolution,[status(thm)],[12983, 1184])).
% 8.56/6.11 tff(12985,plain,
% 8.56/6.11 ((v84(constB37, bitIndex2) | (~v84(constB37, bitIndex1)) | (~v84(constB37, bitIndex0))) | (~v84(constB37, bitIndex2))),
% 8.56/6.11 inference(tautology,[status(thm)],[])).
% 8.56/6.11 tff(12986,plain,
% 8.56/6.11 (v84(constB37, bitIndex2) | (~v84(constB37, bitIndex1)) | (~v84(constB37, bitIndex0))),
% 8.56/6.11 inference(unit_resolution,[status(thm)],[12985, 12832])).
% 8.56/6.11 tff(12987,plain,
% 8.56/6.11 ((~(v116(constB37) <=> (~(v84(constB37, bitIndex2) | (~v84(constB37, bitIndex1)) | (~v84(constB37, bitIndex0)))))) | (~v116(constB37)) | (~(v84(constB37, bitIndex2) | (~v84(constB37, bitIndex1)) | (~v84(constB37, bitIndex0))))),
% 8.56/6.11 inference(tautology,[status(thm)],[])).
% 8.56/6.11 tff(12988,plain,
% 8.56/6.11 (~v116(constB37)),
% 8.56/6.11 inference(unit_resolution,[status(thm)],[12987, 12986, 12984])).
% 8.56/6.11 tff(12989,plain,
% 8.56/6.11 (((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB37) <=> (~(v84(constB37, bitIndex2) | (~v84(constB37, bitIndex1)) | v84(constB37, bitIndex0))))) <=> ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB37) <=> (~(v84(constB37, bitIndex2) | (~v84(constB37, bitIndex1)) | v84(constB37, bitIndex0)))))),
% 8.56/6.11 inference(rewrite,[status(thm)],[])).
% 8.56/6.11 tff(12990,plain,
% 8.56/6.11 ((v115(constB37) <=> (~(v84(constB37, bitIndex0) | v84(constB37, bitIndex2) | (~v84(constB37, bitIndex1))))) <=> (v115(constB37) <=> (~(v84(constB37, bitIndex2) | (~v84(constB37, bitIndex1)) | v84(constB37, bitIndex0))))),
% 8.56/6.11 inference(rewrite,[status(thm)],[])).
% 8.56/6.11 tff(12991,plain,
% 8.56/6.11 (((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB37) <=> (~(v84(constB37, bitIndex0) | v84(constB37, bitIndex2) | (~v84(constB37, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB37) <=> (~(v84(constB37, bitIndex2) | (~v84(constB37, bitIndex1)) | v84(constB37, bitIndex0)))))),
% 8.56/6.11 inference(monotonicity,[status(thm)],[12990])).
% 8.56/6.11 tff(12992,plain,
% 8.56/6.11 (((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB37) <=> (~(v84(constB37, bitIndex0) | v84(constB37, bitIndex2) | (~v84(constB37, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB37) <=> (~(v84(constB37, bitIndex2) | (~v84(constB37, bitIndex1)) | v84(constB37, bitIndex0)))))),
% 8.56/6.11 inference(transitivity,[status(thm)],[12991, 12989])).
% 8.56/6.11 tff(12993,plain,
% 8.56/6.11 ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB37) <=> (~(v84(constB37, bitIndex0) | v84(constB37, bitIndex2) | (~v84(constB37, bitIndex1)))))),
% 8.56/6.11 inference(quant_inst,[status(thm)],[])).
% 8.56/6.11 tff(12994,plain,
% 8.56/6.11 ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB37) <=> (~(v84(constB37, bitIndex2) | (~v84(constB37, bitIndex1)) | v84(constB37, bitIndex0))))),
% 8.56/6.11 inference(modus_ponens,[status(thm)],[12993, 12992])).
% 8.56/6.11 tff(12995,plain,
% 8.56/6.11 (v115(constB37) <=> (~(v84(constB37, bitIndex2) | (~v84(constB37, bitIndex1)) | v84(constB37, bitIndex0)))),
% 8.56/6.11 inference(unit_resolution,[status(thm)],[12994, 1294])).
% 8.56/6.11 tff(12996,plain,
% 8.56/6.11 ((v84(constB37, bitIndex2) | (~v84(constB37, bitIndex1)) | v84(constB37, bitIndex0)) | (~v84(constB37, bitIndex2))),
% 8.56/6.11 inference(tautology,[status(thm)],[])).
% 8.56/6.11 tff(12997,plain,
% 8.56/6.11 (v84(constB37, bitIndex2) | (~v84(constB37, bitIndex1)) | v84(constB37, bitIndex0)),
% 8.56/6.11 inference(unit_resolution,[status(thm)],[12996, 12832])).
% 8.56/6.11 tff(12998,plain,
% 8.56/6.11 ((~(v115(constB37) <=> (~(v84(constB37, bitIndex2) | (~v84(constB37, bitIndex1)) | v84(constB37, bitIndex0))))) | (~v115(constB37)) | (~(v84(constB37, bitIndex2) | (~v84(constB37, bitIndex1)) | v84(constB37, bitIndex0)))),
% 8.56/6.11 inference(tautology,[status(thm)],[])).
% 8.56/6.11 tff(12999,plain,
% 8.56/6.11 (~v115(constB37)),
% 8.56/6.11 inference(unit_resolution,[status(thm)],[12998, 12997, 12995])).
% 8.56/6.11 tff(13000,plain,
% 8.56/6.11 (((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB37) <=> (~(v84(constB37, bitIndex2) | v84(constB37, bitIndex1) | (~v84(constB37, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB37) <=> (~(v84(constB37, bitIndex2) | v84(constB37, bitIndex1) | (~v84(constB37, bitIndex0))))))),
% 8.56/6.11 inference(rewrite,[status(thm)],[])).
% 8.56/6.11 tff(13001,plain,
% 8.56/6.11 ((v114(constB37) <=> (~(v84(constB37, bitIndex1) | v84(constB37, bitIndex2) | (~v84(constB37, bitIndex0))))) <=> (v114(constB37) <=> (~(v84(constB37, bitIndex2) | v84(constB37, bitIndex1) | (~v84(constB37, bitIndex0)))))),
% 8.56/6.11 inference(rewrite,[status(thm)],[])).
% 8.56/6.11 tff(13002,plain,
% 8.56/6.11 (((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB37) <=> (~(v84(constB37, bitIndex1) | v84(constB37, bitIndex2) | (~v84(constB37, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB37) <=> (~(v84(constB37, bitIndex2) | v84(constB37, bitIndex1) | (~v84(constB37, bitIndex0))))))),
% 8.56/6.11 inference(monotonicity,[status(thm)],[13001])).
% 8.56/6.11 tff(13003,plain,
% 8.56/6.11 (((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB37) <=> (~(v84(constB37, bitIndex1) | v84(constB37, bitIndex2) | (~v84(constB37, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB37) <=> (~(v84(constB37, bitIndex2) | v84(constB37, bitIndex1) | (~v84(constB37, bitIndex0))))))),
% 8.56/6.11 inference(transitivity,[status(thm)],[13002, 13000])).
% 8.56/6.11 tff(13004,plain,
% 8.56/6.11 ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB37) <=> (~(v84(constB37, bitIndex1) | v84(constB37, bitIndex2) | (~v84(constB37, bitIndex0)))))),
% 8.56/6.11 inference(quant_inst,[status(thm)],[])).
% 8.56/6.11 tff(13005,plain,
% 8.56/6.11 ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB37) <=> (~(v84(constB37, bitIndex2) | v84(constB37, bitIndex1) | (~v84(constB37, bitIndex0)))))),
% 8.56/6.11 inference(modus_ponens,[status(thm)],[13004, 13003])).
% 8.56/6.11 tff(13006,plain,
% 8.56/6.11 (v114(constB37) <=> (~(v84(constB37, bitIndex2) | v84(constB37, bitIndex1) | (~v84(constB37, bitIndex0))))),
% 8.56/6.11 inference(unit_resolution,[status(thm)],[13005, 1411])).
% 8.56/6.11 tff(13007,plain,
% 8.56/6.11 ((v84(constB37, bitIndex2) | v84(constB37, bitIndex1) | (~v84(constB37, bitIndex0))) | (~v84(constB37, bitIndex2))),
% 8.56/6.11 inference(tautology,[status(thm)],[])).
% 8.56/6.11 tff(13008,plain,
% 8.56/6.11 (v84(constB37, bitIndex2) | v84(constB37, bitIndex1) | (~v84(constB37, bitIndex0))),
% 8.56/6.11 inference(unit_resolution,[status(thm)],[13007, 12832])).
% 8.56/6.11 tff(13009,plain,
% 8.56/6.11 ((~(v114(constB37) <=> (~(v84(constB37, bitIndex2) | v84(constB37, bitIndex1) | (~v84(constB37, bitIndex0)))))) | (~v114(constB37)) | (~(v84(constB37, bitIndex2) | v84(constB37, bitIndex1) | (~v84(constB37, bitIndex0))))),
% 8.56/6.11 inference(tautology,[status(thm)],[])).
% 8.56/6.11 tff(13010,plain,
% 8.56/6.11 (~v114(constB37)),
% 8.56/6.11 inference(unit_resolution,[status(thm)],[13009, 13008, 13006])).
% 8.56/6.11 tff(13011,plain,
% 8.56/6.11 (((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | (v113(constB37) | v114(constB37) | v115(constB37) | v116(constB37) | v117(constB37) | v118(constB37) | ![B: $i] : ((~less_3(B)) | (v124(constB37, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | v113(constB37) | v114(constB37) | v115(constB37) | v116(constB37) | v117(constB37) | v118(constB37) | ![B: $i] : ((~less_3(B)) | (v124(constB37, B) <=> b001(B))))),
% 8.56/6.11 inference(rewrite,[status(thm)],[])).
% 8.56/6.11 tff(13012,plain,
% 8.56/6.11 ((v118(constB37) | v117(constB37) | v116(constB37) | v115(constB37) | v114(constB37) | v113(constB37) | ![B: $i] : ((~less_3(B)) | (v124(constB37, B) <=> b001(B)))) <=> (v113(constB37) | v114(constB37) | v115(constB37) | v116(constB37) | v117(constB37) | v118(constB37) | ![B: $i] : ((~less_3(B)) | (v124(constB37, B) <=> b001(B))))),
% 8.56/6.11 inference(rewrite,[status(thm)],[])).
% 8.56/6.11 tff(13013,plain,
% 8.56/6.11 (((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | (v118(constB37) | v117(constB37) | v116(constB37) | v115(constB37) | v114(constB37) | v113(constB37) | ![B: $i] : ((~less_3(B)) | (v124(constB37, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | (v113(constB37) | v114(constB37) | v115(constB37) | v116(constB37) | v117(constB37) | v118(constB37) | ![B: $i] : ((~less_3(B)) | (v124(constB37, B) <=> b001(B)))))),
% 8.56/6.11 inference(monotonicity,[status(thm)],[13012])).
% 8.56/6.11 tff(13014,plain,
% 8.56/6.11 (((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | (v118(constB37) | v117(constB37) | v116(constB37) | v115(constB37) | v114(constB37) | v113(constB37) | ![B: $i] : ((~less_3(B)) | (v124(constB37, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | v113(constB37) | v114(constB37) | v115(constB37) | v116(constB37) | v117(constB37) | v118(constB37) | ![B: $i] : ((~less_3(B)) | (v124(constB37, B) <=> b001(B))))),
% 8.56/6.11 inference(transitivity,[status(thm)],[13013, 13011])).
% 8.56/6.11 tff(13015,plain,
% 8.56/6.11 ((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | (v118(constB37) | v117(constB37) | v116(constB37) | v115(constB37) | v114(constB37) | v113(constB37) | ![B: $i] : ((~less_3(B)) | (v124(constB37, B) <=> b001(B))))),
% 8.56/6.11 inference(quant_inst,[status(thm)],[])).
% 8.56/6.11 tff(13016,plain,
% 8.56/6.11 ((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | v113(constB37) | v114(constB37) | v115(constB37) | v116(constB37) | v117(constB37) | v118(constB37) | ![B: $i] : ((~less_3(B)) | (v124(constB37, B) <=> b001(B)))),
% 8.56/6.11 inference(modus_ponens,[status(thm)],[13015, 13014])).
% 8.56/6.11 tff(13017,plain,
% 8.56/6.11 (v113(constB37) | v114(constB37) | v115(constB37) | v116(constB37) | v117(constB37) | v118(constB37) | ![B: $i] : ((~less_3(B)) | (v124(constB37, B) <=> b001(B)))),
% 8.56/6.11 inference(unit_resolution,[status(thm)],[13016, 11068])).
% 8.56/6.11 tff(13018,plain,
% 8.56/6.11 (![B: $i] : ((~less_3(B)) | (v124(constB37, B) <=> b001(B)))),
% 8.56/6.11 inference(unit_resolution,[status(thm)],[13017, 13010, 12999, 12988, 12982, 12971, 12960])).
% 8.56/6.11 tff(13019,plain,
% 8.56/6.11 (((~![B: $i] : ((~less_3(B)) | (v124(constB37, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v124(constB37, bitIndex2) <=> b001(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB37, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v124(constB37, bitIndex2) <=> b001(bitIndex2)))),
% 8.56/6.11 inference(rewrite,[status(thm)],[])).
% 8.56/6.11 tff(13020,plain,
% 8.56/6.11 ((~![B: $i] : ((~less_3(B)) | (v124(constB37, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v124(constB37, bitIndex2) <=> b001(bitIndex2)))),
% 8.56/6.11 inference(quant_inst,[status(thm)],[])).
% 8.56/6.11 tff(13021,plain,
% 8.56/6.11 ((~![B: $i] : ((~less_3(B)) | (v124(constB37, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v124(constB37, bitIndex2) <=> b001(bitIndex2))),
% 8.56/6.11 inference(modus_ponens,[status(thm)],[13020, 13019])).
% 8.56/6.11 tff(13022,plain,
% 8.56/6.11 (v124(constB37, bitIndex2) <=> b001(bitIndex2)),
% 8.56/6.11 inference(unit_resolution,[status(thm)],[13021, 832, 13018])).
% 8.56/6.11 tff(13023,plain,
% 8.56/6.11 ((~(v124(constB37, bitIndex2) <=> b001(bitIndex2))) | (~v124(constB37, bitIndex2)) | b001(bitIndex2)),
% 8.56/6.11 inference(tautology,[status(thm)],[])).
% 8.56/6.11 tff(13024,plain,
% 8.56/6.11 ((~(v124(constB37, bitIndex2) <=> b001(bitIndex2))) | (~v124(constB37, bitIndex2))),
% 8.56/6.11 inference(unit_resolution,[status(thm)],[13023, 9977])).
% 8.56/6.11 tff(13025,plain,
% 8.56/6.11 (~v124(constB37, bitIndex2)),
% 8.56/6.11 inference(unit_resolution,[status(thm)],[13024, 13022])).
% 8.56/6.11 tff(13026,plain,
% 8.56/6.11 ((~(v121(constB37, bitIndex2) <=> v124(constB37, bitIndex2))) | (~v121(constB37, bitIndex2)) | v124(constB37, bitIndex2)),
% 8.56/6.11 inference(tautology,[status(thm)],[])).
% 8.56/6.11 tff(13027,plain,
% 8.56/6.11 (~v121(constB37, bitIndex2)),
% 8.56/6.11 inference(unit_resolution,[status(thm)],[13026, 13025, 12954])).
% 8.56/6.11 tff(13028,plain,
% 8.56/6.11 ((~(v123(constB38, bitIndex2) <=> v121(constB37, bitIndex2))) | (~v123(constB38, bitIndex2)) | v121(constB37, bitIndex2)),
% 8.56/6.11 inference(tautology,[status(thm)],[])).
% 8.56/6.11 tff(13029,plain,
% 8.56/6.11 (~v123(constB38, bitIndex2)),
% 8.56/6.11 inference(unit_resolution,[status(thm)],[13028, 13027, 12946])).
% 8.56/6.11 tff(13030,plain,
% 8.56/6.11 ((~(v84(constB38, bitIndex2) <=> v123(constB38, bitIndex2))) | (~v84(constB38, bitIndex2)) | v123(constB38, bitIndex2)),
% 8.56/6.11 inference(tautology,[status(thm)],[])).
% 8.56/6.11 tff(13031,plain,
% 8.56/6.11 (~v84(constB38, bitIndex2)),
% 8.56/6.11 inference(unit_resolution,[status(thm)],[13030, 13029, 12938])).
% 8.56/6.11 tff(13032,plain,
% 8.56/6.11 ((~(v84(constB39, bitIndex2) <=> v84(constB38, bitIndex2))) | (~v84(constB39, bitIndex2)) | v84(constB38, bitIndex2)),
% 8.56/6.11 inference(tautology,[status(thm)],[])).
% 8.56/6.11 tff(13033,plain,
% 8.56/6.11 (~v84(constB39, bitIndex2)),
% 8.56/6.11 inference(unit_resolution,[status(thm)],[13032, 13031, 8027])).
% 8.56/6.11 tff(13034,plain,
% 8.56/6.11 (((~![B: $i] : ((~less_3(B)) | (v84(constB39, B) <=> v84(constB38, B)))) | ((~less_3(bitIndex0)) | (v84(constB39, bitIndex0) <=> v84(constB38, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB39, B) <=> v84(constB38, B)))) | (~less_3(bitIndex0)) | (v84(constB39, bitIndex0) <=> v84(constB38, bitIndex0)))),
% 8.56/6.11 inference(rewrite,[status(thm)],[])).
% 8.56/6.11 tff(13035,plain,
% 8.56/6.11 ((~![B: $i] : ((~less_3(B)) | (v84(constB39, B) <=> v84(constB38, B)))) | ((~less_3(bitIndex0)) | (v84(constB39, bitIndex0) <=> v84(constB38, bitIndex0)))),
% 8.56/6.11 inference(quant_inst,[status(thm)],[])).
% 8.56/6.11 tff(13036,plain,
% 8.56/6.11 ((~![B: $i] : ((~less_3(B)) | (v84(constB39, B) <=> v84(constB38, B)))) | (~less_3(bitIndex0)) | (v84(constB39, bitIndex0) <=> v84(constB38, bitIndex0))),
% 8.56/6.11 inference(modus_ponens,[status(thm)],[13035, 13034])).
% 8.56/6.11 tff(13037,plain,
% 8.56/6.11 (v84(constB39, bitIndex0) <=> v84(constB38, bitIndex0)),
% 8.56/6.11 inference(unit_resolution,[status(thm)],[13036, 9772, 8023])).
% 8.56/6.11 tff(13038,plain,
% 8.56/6.11 (((~![B: $i] : ((~less_3(B)) | (v84(constB38, B) <=> v123(constB38, B)))) | ((~less_3(bitIndex0)) | (v84(constB38, bitIndex0) <=> v123(constB38, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB38, B) <=> v123(constB38, B)))) | (~less_3(bitIndex0)) | (v84(constB38, bitIndex0) <=> v123(constB38, bitIndex0)))),
% 8.56/6.11 inference(rewrite,[status(thm)],[])).
% 8.56/6.11 tff(13039,plain,
% 8.56/6.11 ((~![B: $i] : ((~less_3(B)) | (v84(constB38, B) <=> v123(constB38, B)))) | ((~less_3(bitIndex0)) | (v84(constB38, bitIndex0) <=> v123(constB38, bitIndex0)))),
% 8.56/6.11 inference(quant_inst,[status(thm)],[])).
% 8.56/6.11 tff(13040,plain,
% 8.56/6.11 ((~![B: $i] : ((~less_3(B)) | (v84(constB38, B) <=> v123(constB38, B)))) | (~less_3(bitIndex0)) | (v84(constB38, bitIndex0) <=> v123(constB38, bitIndex0))),
% 8.56/6.11 inference(modus_ponens,[status(thm)],[13039, 13038])).
% 8.56/6.11 tff(13041,plain,
% 8.56/6.11 (v84(constB38, bitIndex0) <=> v123(constB38, bitIndex0)),
% 8.56/6.11 inference(unit_resolution,[status(thm)],[13040, 9772, 12934])).
% 8.56/6.11 tff(13042,plain,
% 8.56/6.11 (((~![B: $i] : ((~less_3(B)) | (v123(constB38, B) <=> v121(constB37, B)))) | ((~less_3(bitIndex0)) | (v123(constB38, bitIndex0) <=> v121(constB37, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB38, B) <=> v121(constB37, B)))) | (~less_3(bitIndex0)) | (v123(constB38, bitIndex0) <=> v121(constB37, bitIndex0)))),
% 8.56/6.11 inference(rewrite,[status(thm)],[])).
% 8.56/6.11 tff(13043,plain,
% 8.56/6.11 ((~![B: $i] : ((~less_3(B)) | (v123(constB38, B) <=> v121(constB37, B)))) | ((~less_3(bitIndex0)) | (v123(constB38, bitIndex0) <=> v121(constB37, bitIndex0)))),
% 8.56/6.11 inference(quant_inst,[status(thm)],[])).
% 8.56/6.11 tff(13044,plain,
% 8.56/6.11 ((~![B: $i] : ((~less_3(B)) | (v123(constB38, B) <=> v121(constB37, B)))) | (~less_3(bitIndex0)) | (v123(constB38, bitIndex0) <=> v121(constB37, bitIndex0))),
% 8.56/6.11 inference(modus_ponens,[status(thm)],[13043, 13042])).
% 8.56/6.11 tff(13045,plain,
% 8.56/6.11 (v123(constB38, bitIndex0) <=> v121(constB37, bitIndex0)),
% 8.56/6.11 inference(unit_resolution,[status(thm)],[13044, 9772, 12942])).
% 8.56/6.11 tff(13046,plain,
% 8.56/6.11 (((~![B: $i] : ((~less_3(B)) | (v121(constB37, B) <=> v124(constB37, B)))) | ((~less_3(bitIndex0)) | (v121(constB37, bitIndex0) <=> v124(constB37, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB37, B) <=> v124(constB37, B)))) | (~less_3(bitIndex0)) | (v121(constB37, bitIndex0) <=> v124(constB37, bitIndex0)))),
% 8.56/6.11 inference(rewrite,[status(thm)],[])).
% 8.56/6.11 tff(13047,plain,
% 8.56/6.11 ((~![B: $i] : ((~less_3(B)) | (v121(constB37, B) <=> v124(constB37, B)))) | ((~less_3(bitIndex0)) | (v121(constB37, bitIndex0) <=> v124(constB37, bitIndex0)))),
% 8.56/6.11 inference(quant_inst,[status(thm)],[])).
% 8.56/6.11 tff(13048,plain,
% 8.56/6.11 ((~![B: $i] : ((~less_3(B)) | (v121(constB37, B) <=> v124(constB37, B)))) | (~less_3(bitIndex0)) | (v121(constB37, bitIndex0) <=> v124(constB37, bitIndex0))),
% 8.56/6.11 inference(modus_ponens,[status(thm)],[13047, 13046])).
% 8.56/6.11 tff(13049,plain,
% 8.56/6.11 (v121(constB37, bitIndex0) <=> v124(constB37, bitIndex0)),
% 8.56/6.11 inference(unit_resolution,[status(thm)],[13048, 9772, 12950])).
% 8.56/6.11 tff(13050,plain,
% 8.56/6.11 (((~![B: $i] : ((~less_3(B)) | (v124(constB37, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v124(constB37, bitIndex0) <=> b001(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB37, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v124(constB37, bitIndex0) <=> b001(bitIndex0)))),
% 8.56/6.11 inference(rewrite,[status(thm)],[])).
% 8.56/6.11 tff(13051,plain,
% 8.56/6.11 ((~![B: $i] : ((~less_3(B)) | (v124(constB37, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v124(constB37, bitIndex0) <=> b001(bitIndex0)))),
% 8.56/6.11 inference(quant_inst,[status(thm)],[])).
% 8.56/6.11 tff(13052,plain,
% 8.56/6.11 ((~![B: $i] : ((~less_3(B)) | (v124(constB37, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v124(constB37, bitIndex0) <=> b001(bitIndex0))),
% 8.56/6.11 inference(modus_ponens,[status(thm)],[13051, 13050])).
% 8.56/6.11 tff(13053,plain,
% 8.56/6.11 (v124(constB37, bitIndex0) <=> b001(bitIndex0)),
% 8.56/6.11 inference(unit_resolution,[status(thm)],[13052, 9772, 13018])).
% 8.56/6.11 tff(13054,plain,
% 8.56/6.11 ((~(v124(constB37, bitIndex0) <=> b001(bitIndex0))) | v124(constB37, bitIndex0) | (~b001(bitIndex0))),
% 8.56/6.11 inference(tautology,[status(thm)],[])).
% 8.56/6.11 tff(13055,plain,
% 8.56/6.11 ((~(v124(constB37, bitIndex0) <=> b001(bitIndex0))) | v124(constB37, bitIndex0)),
% 8.56/6.11 inference(unit_resolution,[status(thm)],[13054, 10011])).
% 8.56/6.11 tff(13056,plain,
% 8.56/6.11 (v124(constB37, bitIndex0)),
% 8.56/6.11 inference(unit_resolution,[status(thm)],[13055, 13053])).
% 8.56/6.11 tff(13057,plain,
% 8.56/6.11 ((~(v121(constB37, bitIndex0) <=> v124(constB37, bitIndex0))) | v121(constB37, bitIndex0) | (~v124(constB37, bitIndex0))),
% 8.56/6.11 inference(tautology,[status(thm)],[])).
% 8.56/6.11 tff(13058,plain,
% 8.56/6.11 (v121(constB37, bitIndex0)),
% 8.56/6.11 inference(unit_resolution,[status(thm)],[13057, 13056, 13049])).
% 8.56/6.11 tff(13059,plain,
% 8.56/6.11 ((~(v123(constB38, bitIndex0) <=> v121(constB37, bitIndex0))) | v123(constB38, bitIndex0) | (~v121(constB37, bitIndex0))),
% 8.56/6.11 inference(tautology,[status(thm)],[])).
% 8.56/6.11 tff(13060,plain,
% 8.56/6.11 (v123(constB38, bitIndex0)),
% 8.56/6.11 inference(unit_resolution,[status(thm)],[13059, 13058, 13045])).
% 8.56/6.11 tff(13061,plain,
% 8.56/6.11 ((~(v84(constB38, bitIndex0) <=> v123(constB38, bitIndex0))) | v84(constB38, bitIndex0) | (~v123(constB38, bitIndex0))),
% 8.56/6.11 inference(tautology,[status(thm)],[])).
% 8.56/6.11 tff(13062,plain,
% 8.56/6.11 (v84(constB38, bitIndex0)),
% 8.56/6.11 inference(unit_resolution,[status(thm)],[13061, 13060, 13041])).
% 8.56/6.11 tff(13063,plain,
% 8.56/6.11 ((~(v84(constB39, bitIndex0) <=> v84(constB38, bitIndex0))) | v84(constB39, bitIndex0) | (~v84(constB38, bitIndex0))),
% 8.56/6.12 inference(tautology,[status(thm)],[])).
% 8.56/6.12 tff(13064,plain,
% 8.56/6.12 (v84(constB39, bitIndex0)),
% 8.56/6.12 inference(unit_resolution,[status(thm)],[13063, 13062, 13037])).
% 8.56/6.12 tff(13065,plain,
% 8.56/6.12 (((~![B: $i] : ((~less_3(B)) | (v84(constB39, B) <=> v84(constB38, B)))) | ((~less_3(bitIndex1)) | (v84(constB39, bitIndex1) <=> v84(constB38, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB39, B) <=> v84(constB38, B)))) | (~less_3(bitIndex1)) | (v84(constB39, bitIndex1) <=> v84(constB38, bitIndex1)))),
% 8.56/6.12 inference(rewrite,[status(thm)],[])).
% 8.56/6.12 tff(13066,plain,
% 8.56/6.12 ((~![B: $i] : ((~less_3(B)) | (v84(constB39, B) <=> v84(constB38, B)))) | ((~less_3(bitIndex1)) | (v84(constB39, bitIndex1) <=> v84(constB38, bitIndex1)))),
% 8.56/6.12 inference(quant_inst,[status(thm)],[])).
% 8.56/6.12 tff(13067,plain,
% 8.56/6.12 ((~![B: $i] : ((~less_3(B)) | (v84(constB39, B) <=> v84(constB38, B)))) | (~less_3(bitIndex1)) | (v84(constB39, bitIndex1) <=> v84(constB38, bitIndex1))),
% 8.56/6.12 inference(modus_ponens,[status(thm)],[13066, 13065])).
% 8.56/6.12 tff(13068,plain,
% 8.56/6.12 (v84(constB39, bitIndex1) <=> v84(constB38, bitIndex1)),
% 8.56/6.12 inference(unit_resolution,[status(thm)],[13067, 9785, 8023])).
% 8.56/6.12 tff(13069,plain,
% 8.56/6.12 (((~![B: $i] : ((~less_3(B)) | (v84(constB38, B) <=> v123(constB38, B)))) | ((~less_3(bitIndex1)) | (v84(constB38, bitIndex1) <=> v123(constB38, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB38, B) <=> v123(constB38, B)))) | (~less_3(bitIndex1)) | (v84(constB38, bitIndex1) <=> v123(constB38, bitIndex1)))),
% 8.56/6.12 inference(rewrite,[status(thm)],[])).
% 8.56/6.12 tff(13070,plain,
% 8.56/6.12 ((~![B: $i] : ((~less_3(B)) | (v84(constB38, B) <=> v123(constB38, B)))) | ((~less_3(bitIndex1)) | (v84(constB38, bitIndex1) <=> v123(constB38, bitIndex1)))),
% 8.56/6.12 inference(quant_inst,[status(thm)],[])).
% 8.56/6.12 tff(13071,plain,
% 8.56/6.12 ((~![B: $i] : ((~less_3(B)) | (v84(constB38, B) <=> v123(constB38, B)))) | (~less_3(bitIndex1)) | (v84(constB38, bitIndex1) <=> v123(constB38, bitIndex1))),
% 8.56/6.12 inference(modus_ponens,[status(thm)],[13070, 13069])).
% 8.56/6.12 tff(13072,plain,
% 8.56/6.12 (v84(constB38, bitIndex1) <=> v123(constB38, bitIndex1)),
% 8.56/6.12 inference(unit_resolution,[status(thm)],[13071, 9785, 12934])).
% 8.56/6.12 tff(13073,plain,
% 8.56/6.12 (((~![B: $i] : ((~less_3(B)) | (v123(constB38, B) <=> v121(constB37, B)))) | ((~less_3(bitIndex1)) | (v123(constB38, bitIndex1) <=> v121(constB37, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB38, B) <=> v121(constB37, B)))) | (~less_3(bitIndex1)) | (v123(constB38, bitIndex1) <=> v121(constB37, bitIndex1)))),
% 8.56/6.12 inference(rewrite,[status(thm)],[])).
% 8.56/6.12 tff(13074,plain,
% 8.56/6.12 ((~![B: $i] : ((~less_3(B)) | (v123(constB38, B) <=> v121(constB37, B)))) | ((~less_3(bitIndex1)) | (v123(constB38, bitIndex1) <=> v121(constB37, bitIndex1)))),
% 8.56/6.12 inference(quant_inst,[status(thm)],[])).
% 8.56/6.12 tff(13075,plain,
% 8.56/6.12 ((~![B: $i] : ((~less_3(B)) | (v123(constB38, B) <=> v121(constB37, B)))) | (~less_3(bitIndex1)) | (v123(constB38, bitIndex1) <=> v121(constB37, bitIndex1))),
% 8.56/6.12 inference(modus_ponens,[status(thm)],[13074, 13073])).
% 8.56/6.12 tff(13076,plain,
% 8.56/6.12 (v123(constB38, bitIndex1) <=> v121(constB37, bitIndex1)),
% 8.56/6.12 inference(unit_resolution,[status(thm)],[13075, 9785, 12942])).
% 8.56/6.12 tff(13077,plain,
% 8.56/6.12 (((~![B: $i] : ((~less_3(B)) | (v121(constB37, B) <=> v124(constB37, B)))) | ((~less_3(bitIndex1)) | (v121(constB37, bitIndex1) <=> v124(constB37, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB37, B) <=> v124(constB37, B)))) | (~less_3(bitIndex1)) | (v121(constB37, bitIndex1) <=> v124(constB37, bitIndex1)))),
% 8.56/6.12 inference(rewrite,[status(thm)],[])).
% 8.56/6.12 tff(13078,plain,
% 8.56/6.12 ((~![B: $i] : ((~less_3(B)) | (v121(constB37, B) <=> v124(constB37, B)))) | ((~less_3(bitIndex1)) | (v121(constB37, bitIndex1) <=> v124(constB37, bitIndex1)))),
% 8.56/6.12 inference(quant_inst,[status(thm)],[])).
% 8.56/6.12 tff(13079,plain,
% 8.56/6.12 ((~![B: $i] : ((~less_3(B)) | (v121(constB37, B) <=> v124(constB37, B)))) | (~less_3(bitIndex1)) | (v121(constB37, bitIndex1) <=> v124(constB37, bitIndex1))),
% 8.56/6.12 inference(modus_ponens,[status(thm)],[13078, 13077])).
% 8.56/6.12 tff(13080,plain,
% 8.56/6.12 (v121(constB37, bitIndex1) <=> v124(constB37, bitIndex1)),
% 8.56/6.12 inference(unit_resolution,[status(thm)],[13079, 9785, 12950])).
% 8.56/6.12 tff(13081,plain,
% 8.56/6.12 (((~![B: $i] : ((~less_3(B)) | (v124(constB37, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v124(constB37, bitIndex1) <=> b001(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB37, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v124(constB37, bitIndex1) <=> b001(bitIndex1)))),
% 8.56/6.12 inference(rewrite,[status(thm)],[])).
% 8.56/6.12 tff(13082,plain,
% 8.56/6.12 ((~![B: $i] : ((~less_3(B)) | (v124(constB37, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v124(constB37, bitIndex1) <=> b001(bitIndex1)))),
% 8.56/6.12 inference(quant_inst,[status(thm)],[])).
% 8.56/6.12 tff(13083,plain,
% 8.56/6.12 ((~![B: $i] : ((~less_3(B)) | (v124(constB37, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v124(constB37, bitIndex1) <=> b001(bitIndex1))),
% 8.56/6.12 inference(modus_ponens,[status(thm)],[13082, 13081])).
% 8.56/6.12 tff(13084,plain,
% 8.56/6.12 (v124(constB37, bitIndex1) <=> b001(bitIndex1)),
% 8.56/6.12 inference(unit_resolution,[status(thm)],[13083, 9785, 13018])).
% 8.56/6.12 tff(13085,plain,
% 8.56/6.12 ((~(v124(constB37, bitIndex1) <=> b001(bitIndex1))) | (~v124(constB37, bitIndex1)) | b001(bitIndex1)),
% 8.56/6.12 inference(tautology,[status(thm)],[])).
% 8.56/6.12 tff(13086,plain,
% 8.56/6.12 ((~(v124(constB37, bitIndex1) <=> b001(bitIndex1))) | (~v124(constB37, bitIndex1))),
% 8.56/6.12 inference(unit_resolution,[status(thm)],[13085, 10045])).
% 8.56/6.12 tff(13087,plain,
% 8.56/6.12 (~v124(constB37, bitIndex1)),
% 8.56/6.12 inference(unit_resolution,[status(thm)],[13086, 13084])).
% 8.56/6.12 tff(13088,plain,
% 8.56/6.12 ((~(v121(constB37, bitIndex1) <=> v124(constB37, bitIndex1))) | (~v121(constB37, bitIndex1)) | v124(constB37, bitIndex1)),
% 8.56/6.12 inference(tautology,[status(thm)],[])).
% 8.56/6.12 tff(13089,plain,
% 8.56/6.12 (~v121(constB37, bitIndex1)),
% 8.56/6.12 inference(unit_resolution,[status(thm)],[13088, 13087, 13080])).
% 8.56/6.12 tff(13090,plain,
% 8.56/6.12 ((~(v123(constB38, bitIndex1) <=> v121(constB37, bitIndex1))) | (~v123(constB38, bitIndex1)) | v121(constB37, bitIndex1)),
% 8.56/6.12 inference(tautology,[status(thm)],[])).
% 8.56/6.12 tff(13091,plain,
% 8.56/6.12 (~v123(constB38, bitIndex1)),
% 8.56/6.12 inference(unit_resolution,[status(thm)],[13090, 13089, 13076])).
% 8.56/6.12 tff(13092,plain,
% 8.56/6.12 ((~(v84(constB38, bitIndex1) <=> v123(constB38, bitIndex1))) | (~v84(constB38, bitIndex1)) | v123(constB38, bitIndex1)),
% 8.56/6.12 inference(tautology,[status(thm)],[])).
% 8.56/6.12 tff(13093,plain,
% 8.56/6.12 (~v84(constB38, bitIndex1)),
% 8.56/6.12 inference(unit_resolution,[status(thm)],[13092, 13091, 13072])).
% 8.56/6.12 tff(13094,plain,
% 8.56/6.12 ((~(v84(constB39, bitIndex1) <=> v84(constB38, bitIndex1))) | (~v84(constB39, bitIndex1)) | v84(constB38, bitIndex1)),
% 8.56/6.12 inference(tautology,[status(thm)],[])).
% 8.56/6.12 tff(13095,plain,
% 8.56/6.12 (~v84(constB39, bitIndex1)),
% 8.56/6.12 inference(unit_resolution,[status(thm)],[13094, 13093, 13068])).
% 8.56/6.12 tff(13096,plain,
% 8.56/6.12 ((~(v84(constB39, bitIndex2) | v84(constB39, bitIndex1) | (~v84(constB39, bitIndex0)))) | v84(constB39, bitIndex2) | v84(constB39, bitIndex1) | (~v84(constB39, bitIndex0))),
% 8.56/6.12 inference(tautology,[status(thm)],[])).
% 8.56/6.12 tff(13097,plain,
% 8.56/6.12 (~(v84(constB39, bitIndex2) | v84(constB39, bitIndex1) | (~v84(constB39, bitIndex0)))),
% 8.56/6.12 inference(unit_resolution,[status(thm)],[13096, 13095, 13064, 13033])).
% 8.56/6.12 tff(13098,plain,
% 8.56/6.12 ((~(v114(constB39) <=> (~(v84(constB39, bitIndex2) | v84(constB39, bitIndex1) | (~v84(constB39, bitIndex0)))))) | v114(constB39) | (v84(constB39, bitIndex2) | v84(constB39, bitIndex1) | (~v84(constB39, bitIndex0)))),
% 8.56/6.12 inference(tautology,[status(thm)],[])).
% 8.56/6.12 tff(13099,plain,
% 8.56/6.12 (v114(constB39)),
% 8.56/6.12 inference(unit_resolution,[status(thm)],[13098, 13097, 7995])).
% 8.56/6.12 tff(13100,plain,
% 8.56/6.12 ((v113(constB39) | v114(constB39)) | (~v114(constB39))),
% 8.56/6.12 inference(tautology,[status(thm)],[])).
% 8.56/6.12 tff(13101,plain,
% 8.56/6.12 (v113(constB39) | v114(constB39)),
% 8.56/6.12 inference(unit_resolution,[status(thm)],[13100, 13099])).
% 8.56/6.12 tff(13102,plain,
% 8.56/6.12 ((~(v112(constB39) <=> (v113(constB39) | v114(constB39)))) | v112(constB39) | (~(v113(constB39) | v114(constB39)))),
% 8.56/6.12 inference(tautology,[status(thm)],[])).
% 8.56/6.12 tff(13103,plain,
% 8.56/6.12 (v112(constB39)),
% 8.56/6.12 inference(unit_resolution,[status(thm)],[13102, 13101, 7988])).
% 8.56/6.12 tff(13104,plain,
% 8.56/6.12 ((v112(constB39) | v115(constB39)) | (~v112(constB39))),
% 8.56/6.12 inference(tautology,[status(thm)],[])).
% 8.56/6.12 tff(13105,plain,
% 8.56/6.12 (v112(constB39) | v115(constB39)),
% 8.56/6.12 inference(unit_resolution,[status(thm)],[13104, 13103])).
% 8.56/6.12 tff(13106,plain,
% 8.56/6.12 ((~(v111(constB39) <=> (v112(constB39) | v115(constB39)))) | v111(constB39) | (~(v112(constB39) | v115(constB39)))),
% 8.56/6.12 inference(tautology,[status(thm)],[])).
% 8.56/6.12 tff(13107,plain,
% 8.56/6.12 (v111(constB39)),
% 8.56/6.12 inference(unit_resolution,[status(thm)],[13106, 13105, 7986])).
% 8.56/6.12 tff(13108,plain,
% 8.56/6.12 ((v111(constB39) | v116(constB39)) | (~v111(constB39))),
% 8.56/6.12 inference(tautology,[status(thm)],[])).
% 8.56/6.12 tff(13109,plain,
% 8.56/6.12 (v111(constB39) | v116(constB39)),
% 8.56/6.12 inference(unit_resolution,[status(thm)],[13108, 13107])).
% 8.56/6.12 tff(13110,plain,
% 8.56/6.12 ((~(v110(constB39) <=> (v111(constB39) | v116(constB39)))) | v110(constB39) | (~(v111(constB39) | v116(constB39)))),
% 8.56/6.12 inference(tautology,[status(thm)],[])).
% 8.56/6.12 tff(13111,plain,
% 8.56/6.12 (v110(constB39)),
% 8.56/6.12 inference(unit_resolution,[status(thm)],[13110, 13109, 7984])).
% 8.56/6.12 tff(13112,plain,
% 8.56/6.12 ((v110(constB39) | v117(constB39)) | (~v110(constB39))),
% 8.56/6.12 inference(tautology,[status(thm)],[])).
% 8.56/6.12 tff(13113,plain,
% 8.56/6.12 (v110(constB39) | v117(constB39)),
% 8.56/6.12 inference(unit_resolution,[status(thm)],[13112, 13111])).
% 8.56/6.12 tff(13114,plain,
% 8.56/6.12 ((~(v109(constB39) <=> (v110(constB39) | v117(constB39)))) | v109(constB39) | (~(v110(constB39) | v117(constB39)))),
% 8.56/6.12 inference(tautology,[status(thm)],[])).
% 8.56/6.12 tff(13115,plain,
% 8.56/6.12 (v109(constB39)),
% 8.56/6.12 inference(unit_resolution,[status(thm)],[13114, 13113, 7982])).
% 8.56/6.12 tff(13116,plain,
% 8.56/6.12 ((v109(constB39) | v118(constB39)) | (~v109(constB39))),
% 8.56/6.12 inference(tautology,[status(thm)],[])).
% 8.56/6.12 tff(13117,plain,
% 8.56/6.12 (v109(constB39) | v118(constB39)),
% 8.56/6.12 inference(unit_resolution,[status(thm)],[13116, 13115])).
% 8.56/6.12 tff(13118,plain,
% 8.56/6.12 ((~(v108(constB39) <=> (v109(constB39) | v118(constB39)))) | v108(constB39) | (~(v109(constB39) | v118(constB39)))),
% 8.56/6.12 inference(tautology,[status(thm)],[])).
% 8.56/6.12 tff(13119,plain,
% 8.56/6.12 (v108(constB39)),
% 8.56/6.12 inference(unit_resolution,[status(thm)],[13118, 13117, 7980])).
% 8.56/6.12 tff(13120,plain,
% 8.56/6.12 ((v108(constB39) | v119(constB39)) | (~v108(constB39))),
% 8.56/6.12 inference(tautology,[status(thm)],[])).
% 8.56/6.12 tff(13121,plain,
% 8.56/6.12 (v108(constB39) | v119(constB39)),
% 8.56/6.12 inference(unit_resolution,[status(thm)],[13120, 13119])).
% 8.56/6.12 tff(13122,plain,
% 8.56/6.12 ((~(v107(constB39) <=> (v108(constB39) | v119(constB39)))) | v107(constB39) | (~(v108(constB39) | v119(constB39)))),
% 8.56/6.12 inference(tautology,[status(thm)],[])).
% 8.56/6.12 tff(13123,plain,
% 8.56/6.12 (v107(constB39)),
% 8.56/6.12 inference(unit_resolution,[status(thm)],[13122, 13121, 7978])).
% 8.56/6.12 tff(13124,plain,
% 8.56/6.12 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB39)) <=> v105(constB39))),
% 8.56/6.12 inference(quant_inst,[status(thm)],[])).
% 8.56/6.12 tff(13125,plain,
% 8.56/6.12 ((~v120(constB39)) <=> v105(constB39)),
% 8.56/6.12 inference(unit_resolution,[status(thm)],[13124, 9842])).
% 8.56/6.12 tff(13126,plain,
% 8.56/6.12 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB39) <=> v26(constB39))),
% 8.56/6.12 inference(quant_inst,[status(thm)],[])).
% 8.56/6.12 tff(13127,plain,
% 8.56/6.12 (v105(constB39) <=> v26(constB39)),
% 8.56/6.12 inference(unit_resolution,[status(thm)],[13126, 9854])).
% 8.56/6.12 tff(13128,plain,
% 8.56/6.12 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB39))),
% 8.56/6.12 inference(quant_inst,[status(thm)],[])).
% 8.56/6.12 tff(13129,plain,
% 8.56/6.12 (~v26(constB39)),
% 8.56/6.12 inference(unit_resolution,[status(thm)],[13128, 9866])).
% 8.56/6.12 tff(13130,plain,
% 8.56/6.12 ((~(v105(constB39) <=> v26(constB39))) | (~v105(constB39)) | v26(constB39)),
% 8.56/6.12 inference(tautology,[status(thm)],[])).
% 8.56/6.12 tff(13131,plain,
% 8.56/6.12 ((~(v105(constB39) <=> v26(constB39))) | (~v105(constB39))),
% 8.56/6.12 inference(unit_resolution,[status(thm)],[13130, 13129])).
% 8.56/6.12 tff(13132,plain,
% 8.56/6.12 (~v105(constB39)),
% 8.56/6.12 inference(unit_resolution,[status(thm)],[13131, 13127])).
% 8.56/6.12 tff(13133,plain,
% 8.56/6.12 ((~((~v120(constB39)) <=> v105(constB39))) | v120(constB39) | v105(constB39)),
% 8.56/6.12 inference(tautology,[status(thm)],[])).
% 8.56/6.12 tff(13134,plain,
% 8.56/6.12 ((~((~v120(constB39)) <=> v105(constB39))) | v120(constB39)),
% 8.56/6.12 inference(unit_resolution,[status(thm)],[13133, 13132])).
% 8.56/6.12 tff(13135,plain,
% 8.56/6.12 (v120(constB39)),
% 8.56/6.12 inference(unit_resolution,[status(thm)],[13134, 13125])).
% 8.56/6.12 tff(13136,plain,
% 8.56/6.12 ((~((~v107(constB39)) | (~v120(constB39)))) | (~v107(constB39)) | (~v120(constB39))),
% 8.56/6.12 inference(tautology,[status(thm)],[])).
% 8.56/6.12 tff(13137,plain,
% 8.56/6.12 ((~((~v107(constB39)) | (~v120(constB39)))) | (~v107(constB39))),
% 8.56/6.12 inference(unit_resolution,[status(thm)],[13136, 13135])).
% 8.56/6.12 tff(13138,plain,
% 8.56/6.12 (~((~v107(constB39)) | (~v120(constB39)))),
% 8.56/6.12 inference(unit_resolution,[status(thm)],[13137, 13123])).
% 8.56/6.12 tff(13139,plain,
% 8.56/6.12 ((~(v106(constB39) <=> (~((~v107(constB39)) | (~v120(constB39)))))) | v106(constB39) | ((~v107(constB39)) | (~v120(constB39)))),
% 8.56/6.12 inference(tautology,[status(thm)],[])).
% 8.56/6.12 tff(13140,plain,
% 8.56/6.12 (v106(constB39)),
% 8.56/6.12 inference(unit_resolution,[status(thm)],[13139, 13138, 7976])).
% 8.56/6.12 tff(13141,plain,
% 8.56/6.12 ((v105(constB39) | v106(constB39)) | (~v106(constB39))),
% 8.56/6.12 inference(tautology,[status(thm)],[])).
% 8.56/6.12 tff(13142,plain,
% 8.56/6.12 (v105(constB39) | v106(constB39)),
% 8.56/6.12 inference(unit_resolution,[status(thm)],[13141, 13140])).
% 8.56/6.12 tff(13143,plain,
% 8.56/6.12 ((~(v102(constB39) <=> (v105(constB39) | v106(constB39)))) | v102(constB39) | (~(v105(constB39) | v106(constB39)))),
% 8.56/6.12 inference(tautology,[status(thm)],[])).
% 8.56/6.12 tff(13144,plain,
% 8.56/6.12 (v102(constB39)),
% 8.56/6.12 inference(unit_resolution,[status(thm)],[13143, 13142, 7974])).
% 8.56/6.12 tff(13145,plain,
% 8.56/6.12 ((~(v104(constB40) <=> v102(constB39))) | v104(constB40) | (~v102(constB39))),
% 8.56/6.12 inference(tautology,[status(thm)],[])).
% 8.56/6.12 tff(13146,plain,
% 8.56/6.12 (v104(constB40)),
% 8.56/6.12 inference(unit_resolution,[status(thm)],[13145, 13144, 7972])).
% 8.56/6.12 tff(13147,plain,
% 8.56/6.12 ((~((~v104(constB40)) | (~v95(constB40)))) | (~v104(constB40)) | (~v95(constB40))),
% 8.56/6.12 inference(tautology,[status(thm)],[])).
% 8.56/6.12 tff(13148,plain,
% 8.56/6.12 (~((~v104(constB40)) | (~v95(constB40)))),
% 8.56/6.12 inference(unit_resolution,[status(thm)],[13147, 13146, 7968])).
% 8.56/6.12 tff(13149,plain,
% 8.56/6.12 ((~(v94(constB40) <=> (~((~v104(constB40)) | (~v95(constB40)))))) | v94(constB40) | ((~v104(constB40)) | (~v95(constB40)))),
% 8.56/6.12 inference(tautology,[status(thm)],[])).
% 8.56/6.12 tff(13150,plain,
% 8.56/6.12 (v94(constB40)),
% 8.56/6.12 inference(unit_resolution,[status(thm)],[13149, 13148, 7937])).
% 8.56/6.12 tff(13151,plain,
% 8.56/6.12 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB40)) | ![B: $i] : ((~less_3(B)) | (v84(constB40, B) <=> v123(constB40, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB40)) | ![B: $i] : ((~less_3(B)) | (v84(constB40, B) <=> v123(constB40, B))))),
% 8.56/6.12 inference(rewrite,[status(thm)],[])).
% 8.56/6.12 tff(13152,plain,
% 8.56/6.12 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB40)) | ![B: $i] : ((~less_3(B)) | (v84(constB40, B) <=> v123(constB40, B))))),
% 8.56/6.12 inference(quant_inst,[status(thm)],[])).
% 8.56/6.12 tff(13153,plain,
% 8.56/6.12 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB40)) | ![B: $i] : ((~less_3(B)) | (v84(constB40, B) <=> v123(constB40, B)))),
% 8.56/6.12 inference(modus_ponens,[status(thm)],[13152, 13151])).
% 8.56/6.12 tff(13154,plain,
% 8.56/6.12 ((~v94(constB40)) | ![B: $i] : ((~less_3(B)) | (v84(constB40, B) <=> v123(constB40, B)))),
% 8.56/6.12 inference(unit_resolution,[status(thm)],[13153, 9902])).
% 8.56/6.12 tff(13155,plain,
% 8.56/6.12 (![B: $i] : ((~less_3(B)) | (v84(constB40, B) <=> v123(constB40, B)))),
% 8.56/6.12 inference(unit_resolution,[status(thm)],[13154, 13150])).
% 8.56/6.12 tff(13156,plain,
% 8.56/6.12 (((~![B: $i] : ((~less_3(B)) | (v84(constB40, B) <=> v123(constB40, B)))) | ((~less_3(bitIndex2)) | (v84(constB40, bitIndex2) <=> v123(constB40, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB40, B) <=> v123(constB40, B)))) | (~less_3(bitIndex2)) | (v84(constB40, bitIndex2) <=> v123(constB40, bitIndex2)))),
% 8.56/6.12 inference(rewrite,[status(thm)],[])).
% 8.56/6.12 tff(13157,plain,
% 8.56/6.12 ((~![B: $i] : ((~less_3(B)) | (v84(constB40, B) <=> v123(constB40, B)))) | ((~less_3(bitIndex2)) | (v84(constB40, bitIndex2) <=> v123(constB40, bitIndex2)))),
% 8.56/6.12 inference(quant_inst,[status(thm)],[])).
% 8.56/6.12 tff(13158,plain,
% 8.56/6.12 ((~![B: $i] : ((~less_3(B)) | (v84(constB40, B) <=> v123(constB40, B)))) | (~less_3(bitIndex2)) | (v84(constB40, bitIndex2) <=> v123(constB40, bitIndex2))),
% 8.56/6.12 inference(modus_ponens,[status(thm)],[13157, 13156])).
% 8.56/6.12 tff(13159,plain,
% 8.56/6.12 (v84(constB40, bitIndex2) <=> v123(constB40, bitIndex2)),
% 8.56/6.12 inference(unit_resolution,[status(thm)],[13158, 832, 13155])).
% 8.56/6.12 tff(13160,plain,
% 8.56/6.12 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB39, constB40)) | ![B: $i] : ((~less_3(B)) | (v123(constB40, B) <=> v121(constB39, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB39, constB40)) | ![B: $i] : ((~less_3(B)) | (v123(constB40, B) <=> v121(constB39, B))))),
% 8.56/6.12 inference(rewrite,[status(thm)],[])).
% 8.56/6.12 tff(13161,plain,
% 8.56/6.12 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB39, constB40)) | ![B: $i] : ((~less_3(B)) | (v123(constB40, B) <=> v121(constB39, B))))),
% 8.56/6.12 inference(quant_inst,[status(thm)],[])).
% 8.56/6.12 tff(13162,plain,
% 8.56/6.12 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB39, constB40)) | ![B: $i] : ((~less_3(B)) | (v123(constB40, B) <=> v121(constB39, B)))),
% 8.56/6.12 inference(modus_ponens,[status(thm)],[13161, 13160])).
% 8.56/6.12 tff(13163,plain,
% 8.56/6.12 (![B: $i] : ((~less_3(B)) | (v123(constB40, B) <=> v121(constB39, B)))),
% 8.56/6.12 inference(unit_resolution,[status(thm)],[13162, 7933, 9924])).
% 8.56/6.12 tff(13164,plain,
% 8.56/6.12 (((~![B: $i] : ((~less_3(B)) | (v123(constB40, B) <=> v121(constB39, B)))) | ((~less_3(bitIndex2)) | (v123(constB40, bitIndex2) <=> v121(constB39, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB40, B) <=> v121(constB39, B)))) | (~less_3(bitIndex2)) | (v123(constB40, bitIndex2) <=> v121(constB39, bitIndex2)))),
% 8.56/6.12 inference(rewrite,[status(thm)],[])).
% 8.56/6.12 tff(13165,plain,
% 8.56/6.12 ((~![B: $i] : ((~less_3(B)) | (v123(constB40, B) <=> v121(constB39, B)))) | ((~less_3(bitIndex2)) | (v123(constB40, bitIndex2) <=> v121(constB39, bitIndex2)))),
% 8.56/6.12 inference(quant_inst,[status(thm)],[])).
% 8.56/6.12 tff(13166,plain,
% 8.56/6.12 ((~![B: $i] : ((~less_3(B)) | (v123(constB40, B) <=> v121(constB39, B)))) | (~less_3(bitIndex2)) | (v123(constB40, bitIndex2) <=> v121(constB39, bitIndex2))),
% 8.56/6.12 inference(modus_ponens,[status(thm)],[13165, 13164])).
% 8.56/6.12 tff(13167,plain,
% 8.56/6.12 (v123(constB40, bitIndex2) <=> v121(constB39, bitIndex2)),
% 8.56/6.12 inference(unit_resolution,[status(thm)],[13166, 832, 13163])).
% 8.56/6.12 tff(13168,plain,
% 8.56/6.12 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB39) | ![B: $i] : ((~less_3(B)) | (v121(constB39, B) <=> v124(constB39, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB39) | ![B: $i] : ((~less_3(B)) | (v121(constB39, B) <=> v124(constB39, B))))),
% 8.56/6.12 inference(rewrite,[status(thm)],[])).
% 8.56/6.12 tff(13169,plain,
% 8.56/6.12 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB39) | ![B: $i] : ((~less_3(B)) | (v121(constB39, B) <=> v124(constB39, B))))),
% 8.56/6.12 inference(quant_inst,[status(thm)],[])).
% 8.56/6.12 tff(13170,plain,
% 8.56/6.12 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB39) | ![B: $i] : ((~less_3(B)) | (v121(constB39, B) <=> v124(constB39, B)))),
% 8.56/6.12 inference(modus_ponens,[status(thm)],[13169, 13168])).
% 8.56/6.12 tff(13171,plain,
% 8.56/6.12 (![B: $i] : ((~less_3(B)) | (v121(constB39, B) <=> v124(constB39, B)))),
% 8.56/6.12 inference(unit_resolution,[status(thm)],[13170, 9945, 13132])).
% 8.56/6.12 tff(13172,plain,
% 8.56/6.12 (((~![B: $i] : ((~less_3(B)) | (v121(constB39, B) <=> v124(constB39, B)))) | ((~less_3(bitIndex2)) | (v121(constB39, bitIndex2) <=> v124(constB39, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB39, B) <=> v124(constB39, B)))) | (~less_3(bitIndex2)) | (v121(constB39, bitIndex2) <=> v124(constB39, bitIndex2)))),
% 8.56/6.12 inference(rewrite,[status(thm)],[])).
% 8.56/6.12 tff(13173,plain,
% 8.56/6.12 ((~![B: $i] : ((~less_3(B)) | (v121(constB39, B) <=> v124(constB39, B)))) | ((~less_3(bitIndex2)) | (v121(constB39, bitIndex2) <=> v124(constB39, bitIndex2)))),
% 8.56/6.12 inference(quant_inst,[status(thm)],[])).
% 8.56/6.12 tff(13174,plain,
% 8.56/6.12 ((~![B: $i] : ((~less_3(B)) | (v121(constB39, B) <=> v124(constB39, B)))) | (~less_3(bitIndex2)) | (v121(constB39, bitIndex2) <=> v124(constB39, bitIndex2))),
% 8.56/6.12 inference(modus_ponens,[status(thm)],[13173, 13172])).
% 8.56/6.12 tff(13175,plain,
% 8.56/6.12 (v121(constB39, bitIndex2) <=> v124(constB39, bitIndex2)),
% 8.56/6.12 inference(unit_resolution,[status(thm)],[13174, 832, 13171])).
% 8.56/6.12 tff(13176,plain,
% 8.56/6.12 (((~![VarCurr: $i] : ((~v114(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b010(B))))) | ((~v114(constB39)) | ![B: $i] : ((~less_3(B)) | (v124(constB39, B) <=> b010(B))))) <=> ((~![VarCurr: $i] : ((~v114(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b010(B))))) | (~v114(constB39)) | ![B: $i] : ((~less_3(B)) | (v124(constB39, B) <=> b010(B))))),
% 8.56/6.12 inference(rewrite,[status(thm)],[])).
% 8.56/6.12 tff(13177,plain,
% 8.56/6.12 ((~![VarCurr: $i] : ((~v114(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b010(B))))) | ((~v114(constB39)) | ![B: $i] : ((~less_3(B)) | (v124(constB39, B) <=> b010(B))))),
% 8.56/6.12 inference(quant_inst,[status(thm)],[])).
% 8.56/6.12 tff(13178,plain,
% 8.56/6.12 ((~![VarCurr: $i] : ((~v114(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b010(B))))) | (~v114(constB39)) | ![B: $i] : ((~less_3(B)) | (v124(constB39, B) <=> b010(B)))),
% 8.56/6.12 inference(modus_ponens,[status(thm)],[13177, 13176])).
% 8.56/6.12 tff(13179,plain,
% 8.56/6.12 ((~v114(constB39)) | ![B: $i] : ((~less_3(B)) | (v124(constB39, B) <=> b010(B)))),
% 8.56/6.12 inference(unit_resolution,[status(thm)],[13178, 10149])).
% 8.56/6.12 tff(13180,plain,
% 8.56/6.12 (![B: $i] : ((~less_3(B)) | (v124(constB39, B) <=> b010(B)))),
% 8.56/6.12 inference(unit_resolution,[status(thm)],[13179, 13099])).
% 8.56/6.12 tff(13181,plain,
% 8.56/6.12 (((~![B: $i] : ((~less_3(B)) | (v124(constB39, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v124(constB39, bitIndex2) <=> b010(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB39, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v124(constB39, bitIndex2) <=> b010(bitIndex2)))),
% 8.56/6.12 inference(rewrite,[status(thm)],[])).
% 8.56/6.12 tff(13182,plain,
% 8.56/6.12 ((~![B: $i] : ((~less_3(B)) | (v124(constB39, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v124(constB39, bitIndex2) <=> b010(bitIndex2)))),
% 8.56/6.12 inference(quant_inst,[status(thm)],[])).
% 8.56/6.12 tff(13183,plain,
% 8.56/6.12 ((~![B: $i] : ((~less_3(B)) | (v124(constB39, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v124(constB39, bitIndex2) <=> b010(bitIndex2))),
% 8.56/6.12 inference(modus_ponens,[status(thm)],[13182, 13181])).
% 8.56/6.12 tff(13184,plain,
% 8.56/6.12 (v124(constB39, bitIndex2) <=> b010(bitIndex2)),
% 8.56/6.12 inference(unit_resolution,[status(thm)],[13183, 832, 13180])).
% 8.56/6.12 tff(13185,plain,
% 8.56/6.12 ((~(v124(constB39, bitIndex2) <=> b010(bitIndex2))) | (~v124(constB39, bitIndex2)) | b010(bitIndex2)),
% 8.56/6.12 inference(tautology,[status(thm)],[])).
% 8.56/6.12 tff(13186,plain,
% 8.56/6.12 ((~(v124(constB39, bitIndex2) <=> b010(bitIndex2))) | (~v124(constB39, bitIndex2))),
% 8.56/6.12 inference(unit_resolution,[status(thm)],[13185, 10161])).
% 8.56/6.12 tff(13187,plain,
% 8.56/6.12 (~v124(constB39, bitIndex2)),
% 8.56/6.12 inference(unit_resolution,[status(thm)],[13186, 13184])).
% 8.56/6.12 tff(13188,plain,
% 8.56/6.12 ((~(v121(constB39, bitIndex2) <=> v124(constB39, bitIndex2))) | (~v121(constB39, bitIndex2)) | v124(constB39, bitIndex2)),
% 8.56/6.12 inference(tautology,[status(thm)],[])).
% 8.56/6.12 tff(13189,plain,
% 8.56/6.12 (~v121(constB39, bitIndex2)),
% 8.56/6.12 inference(unit_resolution,[status(thm)],[13188, 13187, 13175])).
% 8.56/6.12 tff(13190,plain,
% 8.56/6.12 ((~(v123(constB40, bitIndex2) <=> v121(constB39, bitIndex2))) | (~v123(constB40, bitIndex2)) | v121(constB39, bitIndex2)),
% 8.56/6.12 inference(tautology,[status(thm)],[])).
% 8.56/6.12 tff(13191,plain,
% 8.56/6.12 (~v123(constB40, bitIndex2)),
% 8.56/6.12 inference(unit_resolution,[status(thm)],[13190, 13189, 13167])).
% 8.56/6.12 tff(13192,plain,
% 8.56/6.12 ((~(v84(constB40, bitIndex2) <=> v123(constB40, bitIndex2))) | (~v84(constB40, bitIndex2)) | v123(constB40, bitIndex2)),
% 8.56/6.12 inference(tautology,[status(thm)],[])).
% 8.56/6.12 tff(13193,plain,
% 8.56/6.12 (~v84(constB40, bitIndex2)),
% 8.56/6.12 inference(unit_resolution,[status(thm)],[13192, 13191, 13159])).
% 8.56/6.12 tff(13194,plain,
% 8.56/6.12 ((~(v84(constB41, bitIndex2) <=> v84(constB40, bitIndex2))) | (~v84(constB41, bitIndex2)) | v84(constB40, bitIndex2)),
% 8.56/6.12 inference(tautology,[status(thm)],[])).
% 8.56/6.12 tff(13195,plain,
% 8.56/6.12 (~v84(constB41, bitIndex2)),
% 8.56/6.12 inference(unit_resolution,[status(thm)],[13194, 13193, 7930])).
% 8.56/6.12 tff(13196,plain,
% 8.56/6.12 (((~![B: $i] : ((~less_3(B)) | (v84(constB41, B) <=> v84(constB40, B)))) | ((~less_3(bitIndex0)) | (v84(constB41, bitIndex0) <=> v84(constB40, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB41, B) <=> v84(constB40, B)))) | (~less_3(bitIndex0)) | (v84(constB41, bitIndex0) <=> v84(constB40, bitIndex0)))),
% 8.56/6.12 inference(rewrite,[status(thm)],[])).
% 8.56/6.12 tff(13197,plain,
% 8.56/6.12 ((~![B: $i] : ((~less_3(B)) | (v84(constB41, B) <=> v84(constB40, B)))) | ((~less_3(bitIndex0)) | (v84(constB41, bitIndex0) <=> v84(constB40, bitIndex0)))),
% 8.56/6.12 inference(quant_inst,[status(thm)],[])).
% 8.56/6.12 tff(13198,plain,
% 8.56/6.12 ((~![B: $i] : ((~less_3(B)) | (v84(constB41, B) <=> v84(constB40, B)))) | (~less_3(bitIndex0)) | (v84(constB41, bitIndex0) <=> v84(constB40, bitIndex0))),
% 8.56/6.12 inference(modus_ponens,[status(thm)],[13197, 13196])).
% 8.56/6.12 tff(13199,plain,
% 8.56/6.12 (v84(constB41, bitIndex0) <=> v84(constB40, bitIndex0)),
% 8.56/6.12 inference(unit_resolution,[status(thm)],[13198, 9772, 7926])).
% 8.56/6.12 tff(13200,plain,
% 8.56/6.12 (((~![B: $i] : ((~less_3(B)) | (v84(constB40, B) <=> v123(constB40, B)))) | ((~less_3(bitIndex0)) | (v84(constB40, bitIndex0) <=> v123(constB40, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB40, B) <=> v123(constB40, B)))) | (~less_3(bitIndex0)) | (v84(constB40, bitIndex0) <=> v123(constB40, bitIndex0)))),
% 8.56/6.12 inference(rewrite,[status(thm)],[])).
% 8.56/6.12 tff(13201,plain,
% 8.56/6.12 ((~![B: $i] : ((~less_3(B)) | (v84(constB40, B) <=> v123(constB40, B)))) | ((~less_3(bitIndex0)) | (v84(constB40, bitIndex0) <=> v123(constB40, bitIndex0)))),
% 8.56/6.12 inference(quant_inst,[status(thm)],[])).
% 8.56/6.12 tff(13202,plain,
% 8.56/6.12 ((~![B: $i] : ((~less_3(B)) | (v84(constB40, B) <=> v123(constB40, B)))) | (~less_3(bitIndex0)) | (v84(constB40, bitIndex0) <=> v123(constB40, bitIndex0))),
% 8.56/6.12 inference(modus_ponens,[status(thm)],[13201, 13200])).
% 8.56/6.12 tff(13203,plain,
% 8.56/6.12 (v84(constB40, bitIndex0) <=> v123(constB40, bitIndex0)),
% 8.56/6.12 inference(unit_resolution,[status(thm)],[13202, 9772, 13155])).
% 8.56/6.12 tff(13204,plain,
% 8.56/6.12 (((~![B: $i] : ((~less_3(B)) | (v123(constB40, B) <=> v121(constB39, B)))) | ((~less_3(bitIndex0)) | (v123(constB40, bitIndex0) <=> v121(constB39, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB40, B) <=> v121(constB39, B)))) | (~less_3(bitIndex0)) | (v123(constB40, bitIndex0) <=> v121(constB39, bitIndex0)))),
% 8.56/6.12 inference(rewrite,[status(thm)],[])).
% 8.56/6.12 tff(13205,plain,
% 8.56/6.12 ((~![B: $i] : ((~less_3(B)) | (v123(constB40, B) <=> v121(constB39, B)))) | ((~less_3(bitIndex0)) | (v123(constB40, bitIndex0) <=> v121(constB39, bitIndex0)))),
% 8.56/6.12 inference(quant_inst,[status(thm)],[])).
% 8.56/6.12 tff(13206,plain,
% 8.56/6.12 ((~![B: $i] : ((~less_3(B)) | (v123(constB40, B) <=> v121(constB39, B)))) | (~less_3(bitIndex0)) | (v123(constB40, bitIndex0) <=> v121(constB39, bitIndex0))),
% 8.56/6.12 inference(modus_ponens,[status(thm)],[13205, 13204])).
% 8.56/6.12 tff(13207,plain,
% 8.56/6.12 (v123(constB40, bitIndex0) <=> v121(constB39, bitIndex0)),
% 8.56/6.12 inference(unit_resolution,[status(thm)],[13206, 9772, 13163])).
% 8.56/6.12 tff(13208,plain,
% 8.56/6.12 (((~![B: $i] : ((~less_3(B)) | (v121(constB39, B) <=> v124(constB39, B)))) | ((~less_3(bitIndex0)) | (v121(constB39, bitIndex0) <=> v124(constB39, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB39, B) <=> v124(constB39, B)))) | (~less_3(bitIndex0)) | (v121(constB39, bitIndex0) <=> v124(constB39, bitIndex0)))),
% 8.56/6.12 inference(rewrite,[status(thm)],[])).
% 8.56/6.12 tff(13209,plain,
% 8.56/6.12 ((~![B: $i] : ((~less_3(B)) | (v121(constB39, B) <=> v124(constB39, B)))) | ((~less_3(bitIndex0)) | (v121(constB39, bitIndex0) <=> v124(constB39, bitIndex0)))),
% 8.56/6.12 inference(quant_inst,[status(thm)],[])).
% 8.56/6.12 tff(13210,plain,
% 8.56/6.12 ((~![B: $i] : ((~less_3(B)) | (v121(constB39, B) <=> v124(constB39, B)))) | (~less_3(bitIndex0)) | (v121(constB39, bitIndex0) <=> v124(constB39, bitIndex0))),
% 8.56/6.12 inference(modus_ponens,[status(thm)],[13209, 13208])).
% 8.56/6.12 tff(13211,plain,
% 8.56/6.12 (v121(constB39, bitIndex0) <=> v124(constB39, bitIndex0)),
% 8.56/6.12 inference(unit_resolution,[status(thm)],[13210, 9772, 13171])).
% 8.56/6.12 tff(13212,plain,
% 8.56/6.12 (((~![B: $i] : ((~less_3(B)) | (v124(constB39, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v124(constB39, bitIndex0) <=> b010(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB39, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v124(constB39, bitIndex0) <=> b010(bitIndex0)))),
% 8.56/6.12 inference(rewrite,[status(thm)],[])).
% 8.56/6.12 tff(13213,plain,
% 8.56/6.12 ((~![B: $i] : ((~less_3(B)) | (v124(constB39, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v124(constB39, bitIndex0) <=> b010(bitIndex0)))),
% 8.56/6.12 inference(quant_inst,[status(thm)],[])).
% 8.56/6.12 tff(13214,plain,
% 8.56/6.12 ((~![B: $i] : ((~less_3(B)) | (v124(constB39, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v124(constB39, bitIndex0) <=> b010(bitIndex0))),
% 8.56/6.12 inference(modus_ponens,[status(thm)],[13213, 13212])).
% 8.56/6.12 tff(13215,plain,
% 8.56/6.12 (v124(constB39, bitIndex0) <=> b010(bitIndex0)),
% 8.56/6.12 inference(unit_resolution,[status(thm)],[13214, 9772, 13180])).
% 8.56/6.12 tff(13216,plain,
% 8.56/6.12 ((~(v124(constB39, bitIndex0) <=> b010(bitIndex0))) | (~v124(constB39, bitIndex0)) | b010(bitIndex0)),
% 8.56/6.12 inference(tautology,[status(thm)],[])).
% 8.56/6.12 tff(13217,plain,
% 8.56/6.12 ((~(v124(constB39, bitIndex0) <=> b010(bitIndex0))) | (~v124(constB39, bitIndex0))),
% 8.56/6.12 inference(unit_resolution,[status(thm)],[13216, 10195])).
% 8.56/6.12 tff(13218,plain,
% 8.56/6.12 (~v124(constB39, bitIndex0)),
% 8.56/6.12 inference(unit_resolution,[status(thm)],[13217, 13215])).
% 8.56/6.12 tff(13219,plain,
% 8.56/6.12 ((~(v121(constB39, bitIndex0) <=> v124(constB39, bitIndex0))) | (~v121(constB39, bitIndex0)) | v124(constB39, bitIndex0)),
% 8.56/6.12 inference(tautology,[status(thm)],[])).
% 8.56/6.12 tff(13220,plain,
% 8.56/6.12 (~v121(constB39, bitIndex0)),
% 8.56/6.12 inference(unit_resolution,[status(thm)],[13219, 13218, 13211])).
% 8.56/6.12 tff(13221,plain,
% 8.56/6.12 ((~(v123(constB40, bitIndex0) <=> v121(constB39, bitIndex0))) | (~v123(constB40, bitIndex0)) | v121(constB39, bitIndex0)),
% 8.56/6.12 inference(tautology,[status(thm)],[])).
% 8.56/6.12 tff(13222,plain,
% 8.56/6.12 (~v123(constB40, bitIndex0)),
% 8.56/6.12 inference(unit_resolution,[status(thm)],[13221, 13220, 13207])).
% 8.56/6.12 tff(13223,plain,
% 8.56/6.12 ((~(v84(constB40, bitIndex0) <=> v123(constB40, bitIndex0))) | (~v84(constB40, bitIndex0)) | v123(constB40, bitIndex0)),
% 8.56/6.12 inference(tautology,[status(thm)],[])).
% 8.56/6.12 tff(13224,plain,
% 8.56/6.12 (~v84(constB40, bitIndex0)),
% 8.56/6.12 inference(unit_resolution,[status(thm)],[13223, 13222, 13203])).
% 8.56/6.12 tff(13225,plain,
% 8.56/6.12 ((~(v84(constB41, bitIndex0) <=> v84(constB40, bitIndex0))) | (~v84(constB41, bitIndex0)) | v84(constB40, bitIndex0)),
% 8.56/6.12 inference(tautology,[status(thm)],[])).
% 8.56/6.12 tff(13226,plain,
% 8.56/6.12 (~v84(constB41, bitIndex0)),
% 8.56/6.12 inference(unit_resolution,[status(thm)],[13225, 13224, 13199])).
% 8.56/6.12 tff(13227,plain,
% 8.56/6.12 (((~![B: $i] : ((~less_3(B)) | (v84(constB41, B) <=> v84(constB40, B)))) | ((~less_3(bitIndex1)) | (v84(constB41, bitIndex1) <=> v84(constB40, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB41, B) <=> v84(constB40, B)))) | (~less_3(bitIndex1)) | (v84(constB41, bitIndex1) <=> v84(constB40, bitIndex1)))),
% 8.56/6.12 inference(rewrite,[status(thm)],[])).
% 8.56/6.12 tff(13228,plain,
% 8.56/6.12 ((~![B: $i] : ((~less_3(B)) | (v84(constB41, B) <=> v84(constB40, B)))) | ((~less_3(bitIndex1)) | (v84(constB41, bitIndex1) <=> v84(constB40, bitIndex1)))),
% 8.56/6.12 inference(quant_inst,[status(thm)],[])).
% 8.56/6.12 tff(13229,plain,
% 8.56/6.12 ((~![B: $i] : ((~less_3(B)) | (v84(constB41, B) <=> v84(constB40, B)))) | (~less_3(bitIndex1)) | (v84(constB41, bitIndex1) <=> v84(constB40, bitIndex1))),
% 8.56/6.12 inference(modus_ponens,[status(thm)],[13228, 13227])).
% 8.56/6.12 tff(13230,plain,
% 8.56/6.12 (v84(constB41, bitIndex1) <=> v84(constB40, bitIndex1)),
% 8.56/6.12 inference(unit_resolution,[status(thm)],[13229, 9785, 7926])).
% 8.56/6.12 tff(13231,plain,
% 8.56/6.12 (((~![B: $i] : ((~less_3(B)) | (v84(constB40, B) <=> v123(constB40, B)))) | ((~less_3(bitIndex1)) | (v84(constB40, bitIndex1) <=> v123(constB40, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB40, B) <=> v123(constB40, B)))) | (~less_3(bitIndex1)) | (v84(constB40, bitIndex1) <=> v123(constB40, bitIndex1)))),
% 8.56/6.12 inference(rewrite,[status(thm)],[])).
% 8.56/6.12 tff(13232,plain,
% 8.56/6.12 ((~![B: $i] : ((~less_3(B)) | (v84(constB40, B) <=> v123(constB40, B)))) | ((~less_3(bitIndex1)) | (v84(constB40, bitIndex1) <=> v123(constB40, bitIndex1)))),
% 8.56/6.12 inference(quant_inst,[status(thm)],[])).
% 8.56/6.12 tff(13233,plain,
% 8.56/6.12 ((~![B: $i] : ((~less_3(B)) | (v84(constB40, B) <=> v123(constB40, B)))) | (~less_3(bitIndex1)) | (v84(constB40, bitIndex1) <=> v123(constB40, bitIndex1))),
% 8.56/6.12 inference(modus_ponens,[status(thm)],[13232, 13231])).
% 8.56/6.12 tff(13234,plain,
% 8.56/6.12 (v84(constB40, bitIndex1) <=> v123(constB40, bitIndex1)),
% 8.56/6.12 inference(unit_resolution,[status(thm)],[13233, 9785, 13155])).
% 8.56/6.12 tff(13235,plain,
% 8.56/6.12 (((~![B: $i] : ((~less_3(B)) | (v123(constB40, B) <=> v121(constB39, B)))) | ((~less_3(bitIndex1)) | (v123(constB40, bitIndex1) <=> v121(constB39, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB40, B) <=> v121(constB39, B)))) | (~less_3(bitIndex1)) | (v123(constB40, bitIndex1) <=> v121(constB39, bitIndex1)))),
% 8.56/6.12 inference(rewrite,[status(thm)],[])).
% 8.56/6.12 tff(13236,plain,
% 8.56/6.12 ((~![B: $i] : ((~less_3(B)) | (v123(constB40, B) <=> v121(constB39, B)))) | ((~less_3(bitIndex1)) | (v123(constB40, bitIndex1) <=> v121(constB39, bitIndex1)))),
% 8.56/6.12 inference(quant_inst,[status(thm)],[])).
% 8.56/6.12 tff(13237,plain,
% 8.56/6.12 ((~![B: $i] : ((~less_3(B)) | (v123(constB40, B) <=> v121(constB39, B)))) | (~less_3(bitIndex1)) | (v123(constB40, bitIndex1) <=> v121(constB39, bitIndex1))),
% 8.56/6.12 inference(modus_ponens,[status(thm)],[13236, 13235])).
% 8.56/6.12 tff(13238,plain,
% 8.56/6.12 (v123(constB40, bitIndex1) <=> v121(constB39, bitIndex1)),
% 8.56/6.12 inference(unit_resolution,[status(thm)],[13237, 9785, 13163])).
% 8.56/6.12 tff(13239,plain,
% 8.56/6.12 (((~![B: $i] : ((~less_3(B)) | (v121(constB39, B) <=> v124(constB39, B)))) | ((~less_3(bitIndex1)) | (v121(constB39, bitIndex1) <=> v124(constB39, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB39, B) <=> v124(constB39, B)))) | (~less_3(bitIndex1)) | (v121(constB39, bitIndex1) <=> v124(constB39, bitIndex1)))),
% 8.56/6.12 inference(rewrite,[status(thm)],[])).
% 8.56/6.12 tff(13240,plain,
% 8.56/6.12 ((~![B: $i] : ((~less_3(B)) | (v121(constB39, B) <=> v124(constB39, B)))) | ((~less_3(bitIndex1)) | (v121(constB39, bitIndex1) <=> v124(constB39, bitIndex1)))),
% 8.56/6.12 inference(quant_inst,[status(thm)],[])).
% 8.56/6.12 tff(13241,plain,
% 8.56/6.12 ((~![B: $i] : ((~less_3(B)) | (v121(constB39, B) <=> v124(constB39, B)))) | (~less_3(bitIndex1)) | (v121(constB39, bitIndex1) <=> v124(constB39, bitIndex1))),
% 8.56/6.12 inference(modus_ponens,[status(thm)],[13240, 13239])).
% 8.56/6.12 tff(13242,plain,
% 8.56/6.12 (v121(constB39, bitIndex1) <=> v124(constB39, bitIndex1)),
% 8.56/6.12 inference(unit_resolution,[status(thm)],[13241, 9785, 13171])).
% 8.56/6.12 tff(13243,plain,
% 8.56/6.12 (((~![B: $i] : ((~less_3(B)) | (v124(constB39, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v124(constB39, bitIndex1) <=> b010(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB39, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v124(constB39, bitIndex1) <=> b010(bitIndex1)))),
% 8.56/6.12 inference(rewrite,[status(thm)],[])).
% 8.56/6.12 tff(13244,plain,
% 8.56/6.12 ((~![B: $i] : ((~less_3(B)) | (v124(constB39, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v124(constB39, bitIndex1) <=> b010(bitIndex1)))),
% 8.56/6.12 inference(quant_inst,[status(thm)],[])).
% 8.56/6.12 tff(13245,plain,
% 8.56/6.12 ((~![B: $i] : ((~less_3(B)) | (v124(constB39, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v124(constB39, bitIndex1) <=> b010(bitIndex1))),
% 8.56/6.12 inference(modus_ponens,[status(thm)],[13244, 13243])).
% 8.56/6.12 tff(13246,plain,
% 8.56/6.12 (v124(constB39, bitIndex1) <=> b010(bitIndex1)),
% 8.56/6.12 inference(unit_resolution,[status(thm)],[13245, 9785, 13180])).
% 8.56/6.12 tff(13247,plain,
% 8.56/6.12 ((~(v124(constB39, bitIndex1) <=> b010(bitIndex1))) | v124(constB39, bitIndex1) | (~b010(bitIndex1))),
% 8.56/6.12 inference(tautology,[status(thm)],[])).
% 8.56/6.12 tff(13248,plain,
% 8.56/6.12 ((~(v124(constB39, bitIndex1) <=> b010(bitIndex1))) | v124(constB39, bitIndex1)),
% 8.56/6.13 inference(unit_resolution,[status(thm)],[13247, 10229])).
% 8.56/6.13 tff(13249,plain,
% 8.56/6.13 (v124(constB39, bitIndex1)),
% 8.56/6.13 inference(unit_resolution,[status(thm)],[13248, 13246])).
% 8.56/6.13 tff(13250,plain,
% 8.56/6.13 ((~(v121(constB39, bitIndex1) <=> v124(constB39, bitIndex1))) | v121(constB39, bitIndex1) | (~v124(constB39, bitIndex1))),
% 8.56/6.13 inference(tautology,[status(thm)],[])).
% 8.56/6.13 tff(13251,plain,
% 8.56/6.13 (v121(constB39, bitIndex1)),
% 8.56/6.13 inference(unit_resolution,[status(thm)],[13250, 13249, 13242])).
% 8.56/6.13 tff(13252,plain,
% 8.56/6.13 ((~(v123(constB40, bitIndex1) <=> v121(constB39, bitIndex1))) | v123(constB40, bitIndex1) | (~v121(constB39, bitIndex1))),
% 8.56/6.13 inference(tautology,[status(thm)],[])).
% 8.56/6.13 tff(13253,plain,
% 8.56/6.13 (v123(constB40, bitIndex1)),
% 8.56/6.13 inference(unit_resolution,[status(thm)],[13252, 13251, 13238])).
% 8.56/6.13 tff(13254,plain,
% 8.56/6.13 ((~(v84(constB40, bitIndex1) <=> v123(constB40, bitIndex1))) | v84(constB40, bitIndex1) | (~v123(constB40, bitIndex1))),
% 8.56/6.13 inference(tautology,[status(thm)],[])).
% 8.56/6.13 tff(13255,plain,
% 8.56/6.13 (v84(constB40, bitIndex1)),
% 8.56/6.13 inference(unit_resolution,[status(thm)],[13254, 13253, 13234])).
% 8.56/6.13 tff(13256,plain,
% 8.56/6.13 ((~(v84(constB41, bitIndex1) <=> v84(constB40, bitIndex1))) | v84(constB41, bitIndex1) | (~v84(constB40, bitIndex1))),
% 8.56/6.13 inference(tautology,[status(thm)],[])).
% 8.56/6.13 tff(13257,plain,
% 8.56/6.13 (v84(constB41, bitIndex1)),
% 8.56/6.13 inference(unit_resolution,[status(thm)],[13256, 13255, 13230])).
% 8.56/6.13 tff(13258,plain,
% 8.56/6.13 ((~(v84(constB41, bitIndex2) | (~v84(constB41, bitIndex1)) | v84(constB41, bitIndex0))) | v84(constB41, bitIndex2) | (~v84(constB41, bitIndex1)) | v84(constB41, bitIndex0)),
% 8.56/6.13 inference(tautology,[status(thm)],[])).
% 8.56/6.13 tff(13259,plain,
% 8.56/6.13 (~(v84(constB41, bitIndex2) | (~v84(constB41, bitIndex1)) | v84(constB41, bitIndex0))),
% 8.56/6.13 inference(unit_resolution,[status(thm)],[13258, 13257, 13226, 13195])).
% 8.56/6.13 tff(13260,plain,
% 8.56/6.13 ((~(v115(constB41) <=> (~(v84(constB41, bitIndex2) | (~v84(constB41, bitIndex1)) | v84(constB41, bitIndex0))))) | v115(constB41) | (v84(constB41, bitIndex2) | (~v84(constB41, bitIndex1)) | v84(constB41, bitIndex0))),
% 8.56/6.13 inference(tautology,[status(thm)],[])).
% 8.56/6.13 tff(13261,plain,
% 8.56/6.13 (v115(constB41)),
% 8.56/6.13 inference(unit_resolution,[status(thm)],[13260, 13259, 7898])).
% 8.56/6.13 tff(13262,plain,
% 8.56/6.13 ((v112(constB41) | v115(constB41)) | (~v115(constB41))),
% 8.56/6.13 inference(tautology,[status(thm)],[])).
% 8.56/6.13 tff(13263,plain,
% 8.56/6.13 (v112(constB41) | v115(constB41)),
% 8.56/6.13 inference(unit_resolution,[status(thm)],[13262, 13261])).
% 8.56/6.13 tff(13264,plain,
% 8.56/6.13 ((~(v111(constB41) <=> (v112(constB41) | v115(constB41)))) | v111(constB41) | (~(v112(constB41) | v115(constB41)))),
% 8.56/6.13 inference(tautology,[status(thm)],[])).
% 8.56/6.13 tff(13265,plain,
% 8.56/6.13 (v111(constB41)),
% 8.56/6.13 inference(unit_resolution,[status(thm)],[13264, 13263, 7891])).
% 8.56/6.13 tff(13266,plain,
% 8.56/6.13 ((v111(constB41) | v116(constB41)) | (~v111(constB41))),
% 8.56/6.13 inference(tautology,[status(thm)],[])).
% 8.56/6.13 tff(13267,plain,
% 8.56/6.13 (v111(constB41) | v116(constB41)),
% 8.56/6.13 inference(unit_resolution,[status(thm)],[13266, 13265])).
% 8.56/6.13 tff(13268,plain,
% 8.56/6.13 ((~(v110(constB41) <=> (v111(constB41) | v116(constB41)))) | v110(constB41) | (~(v111(constB41) | v116(constB41)))),
% 8.56/6.13 inference(tautology,[status(thm)],[])).
% 8.56/6.13 tff(13269,plain,
% 8.56/6.13 (v110(constB41)),
% 8.56/6.13 inference(unit_resolution,[status(thm)],[13268, 13267, 7889])).
% 8.56/6.13 tff(13270,plain,
% 8.56/6.13 ((v110(constB41) | v117(constB41)) | (~v110(constB41))),
% 8.56/6.13 inference(tautology,[status(thm)],[])).
% 8.56/6.13 tff(13271,plain,
% 8.56/6.13 (v110(constB41) | v117(constB41)),
% 8.56/6.13 inference(unit_resolution,[status(thm)],[13270, 13269])).
% 8.56/6.13 tff(13272,plain,
% 8.56/6.13 ((~(v109(constB41) <=> (v110(constB41) | v117(constB41)))) | v109(constB41) | (~(v110(constB41) | v117(constB41)))),
% 8.56/6.13 inference(tautology,[status(thm)],[])).
% 8.56/6.13 tff(13273,plain,
% 8.56/6.13 (v109(constB41)),
% 8.56/6.13 inference(unit_resolution,[status(thm)],[13272, 13271, 7887])).
% 8.56/6.13 tff(13274,plain,
% 8.56/6.13 ((v109(constB41) | v118(constB41)) | (~v109(constB41))),
% 8.56/6.13 inference(tautology,[status(thm)],[])).
% 8.56/6.13 tff(13275,plain,
% 8.56/6.13 (v109(constB41) | v118(constB41)),
% 8.56/6.13 inference(unit_resolution,[status(thm)],[13274, 13273])).
% 8.56/6.13 tff(13276,plain,
% 8.56/6.13 ((~(v108(constB41) <=> (v109(constB41) | v118(constB41)))) | v108(constB41) | (~(v109(constB41) | v118(constB41)))),
% 8.56/6.13 inference(tautology,[status(thm)],[])).
% 8.56/6.13 tff(13277,plain,
% 8.56/6.13 (v108(constB41)),
% 8.56/6.13 inference(unit_resolution,[status(thm)],[13276, 13275, 7885])).
% 8.56/6.13 tff(13278,plain,
% 8.56/6.13 ((v108(constB41) | v119(constB41)) | (~v108(constB41))),
% 8.56/6.13 inference(tautology,[status(thm)],[])).
% 8.56/6.13 tff(13279,plain,
% 8.56/6.13 (v108(constB41) | v119(constB41)),
% 8.56/6.13 inference(unit_resolution,[status(thm)],[13278, 13277])).
% 8.56/6.13 tff(13280,plain,
% 8.56/6.13 ((~(v107(constB41) <=> (v108(constB41) | v119(constB41)))) | v107(constB41) | (~(v108(constB41) | v119(constB41)))),
% 8.56/6.13 inference(tautology,[status(thm)],[])).
% 8.56/6.13 tff(13281,plain,
% 8.56/6.13 (v107(constB41)),
% 8.56/6.13 inference(unit_resolution,[status(thm)],[13280, 13279, 7883])).
% 8.56/6.13 tff(13282,plain,
% 8.56/6.13 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB41)) <=> v105(constB41))),
% 8.56/6.13 inference(quant_inst,[status(thm)],[])).
% 8.56/6.13 tff(13283,plain,
% 8.56/6.13 ((~v120(constB41)) <=> v105(constB41)),
% 8.56/6.13 inference(unit_resolution,[status(thm)],[13282, 9842])).
% 8.56/6.13 tff(13284,plain,
% 8.56/6.13 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB41) <=> v26(constB41))),
% 8.56/6.13 inference(quant_inst,[status(thm)],[])).
% 8.56/6.13 tff(13285,plain,
% 8.56/6.13 (v105(constB41) <=> v26(constB41)),
% 8.56/6.13 inference(unit_resolution,[status(thm)],[13284, 9854])).
% 8.56/6.13 tff(13286,plain,
% 8.56/6.13 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB41))),
% 8.56/6.13 inference(quant_inst,[status(thm)],[])).
% 8.56/6.13 tff(13287,plain,
% 8.56/6.13 (~v26(constB41)),
% 8.56/6.13 inference(unit_resolution,[status(thm)],[13286, 9866])).
% 8.56/6.13 tff(13288,plain,
% 8.56/6.13 ((~(v105(constB41) <=> v26(constB41))) | (~v105(constB41)) | v26(constB41)),
% 8.56/6.13 inference(tautology,[status(thm)],[])).
% 8.56/6.13 tff(13289,plain,
% 8.56/6.13 ((~(v105(constB41) <=> v26(constB41))) | (~v105(constB41))),
% 8.56/6.13 inference(unit_resolution,[status(thm)],[13288, 13287])).
% 8.56/6.13 tff(13290,plain,
% 8.56/6.13 (~v105(constB41)),
% 8.56/6.13 inference(unit_resolution,[status(thm)],[13289, 13285])).
% 8.56/6.13 tff(13291,plain,
% 8.56/6.13 ((~((~v120(constB41)) <=> v105(constB41))) | v120(constB41) | v105(constB41)),
% 8.56/6.13 inference(tautology,[status(thm)],[])).
% 8.56/6.13 tff(13292,plain,
% 8.56/6.13 ((~((~v120(constB41)) <=> v105(constB41))) | v120(constB41)),
% 8.56/6.13 inference(unit_resolution,[status(thm)],[13291, 13290])).
% 8.56/6.13 tff(13293,plain,
% 8.56/6.13 (v120(constB41)),
% 8.56/6.13 inference(unit_resolution,[status(thm)],[13292, 13283])).
% 8.56/6.13 tff(13294,plain,
% 8.56/6.13 ((~((~v107(constB41)) | (~v120(constB41)))) | (~v107(constB41)) | (~v120(constB41))),
% 8.56/6.13 inference(tautology,[status(thm)],[])).
% 8.56/6.13 tff(13295,plain,
% 8.56/6.13 ((~((~v107(constB41)) | (~v120(constB41)))) | (~v107(constB41))),
% 8.56/6.13 inference(unit_resolution,[status(thm)],[13294, 13293])).
% 8.56/6.13 tff(13296,plain,
% 8.56/6.13 (~((~v107(constB41)) | (~v120(constB41)))),
% 8.56/6.13 inference(unit_resolution,[status(thm)],[13295, 13281])).
% 8.56/6.13 tff(13297,plain,
% 8.56/6.13 ((~(v106(constB41) <=> (~((~v107(constB41)) | (~v120(constB41)))))) | v106(constB41) | ((~v107(constB41)) | (~v120(constB41)))),
% 8.56/6.13 inference(tautology,[status(thm)],[])).
% 8.56/6.13 tff(13298,plain,
% 8.56/6.13 (v106(constB41)),
% 8.56/6.13 inference(unit_resolution,[status(thm)],[13297, 13296, 7881])).
% 8.56/6.13 tff(13299,plain,
% 8.56/6.13 ((v105(constB41) | v106(constB41)) | (~v106(constB41))),
% 8.56/6.13 inference(tautology,[status(thm)],[])).
% 8.56/6.13 tff(13300,plain,
% 8.56/6.13 (v105(constB41) | v106(constB41)),
% 8.56/6.13 inference(unit_resolution,[status(thm)],[13299, 13298])).
% 8.56/6.13 tff(13301,plain,
% 8.56/6.13 ((~(v102(constB41) <=> (v105(constB41) | v106(constB41)))) | v102(constB41) | (~(v105(constB41) | v106(constB41)))),
% 8.56/6.13 inference(tautology,[status(thm)],[])).
% 8.56/6.13 tff(13302,plain,
% 8.56/6.13 (v102(constB41)),
% 8.56/6.13 inference(unit_resolution,[status(thm)],[13301, 13300, 7879])).
% 8.56/6.13 tff(13303,plain,
% 8.56/6.13 ((~(v104(constB42) <=> v102(constB41))) | v104(constB42) | (~v102(constB41))),
% 8.56/6.13 inference(tautology,[status(thm)],[])).
% 8.56/6.13 tff(13304,plain,
% 8.56/6.13 (v104(constB42)),
% 8.56/6.13 inference(unit_resolution,[status(thm)],[13303, 13302, 7877])).
% 8.56/6.13 tff(13305,plain,
% 8.56/6.13 ((~((~v104(constB42)) | (~v95(constB42)))) | (~v104(constB42)) | (~v95(constB42))),
% 8.56/6.13 inference(tautology,[status(thm)],[])).
% 8.56/6.13 tff(13306,plain,
% 8.56/6.13 (~((~v104(constB42)) | (~v95(constB42)))),
% 8.56/6.13 inference(unit_resolution,[status(thm)],[13305, 13304, 7873])).
% 8.56/6.13 tff(13307,plain,
% 8.56/6.13 ((~(v94(constB42) <=> (~((~v104(constB42)) | (~v95(constB42)))))) | v94(constB42) | ((~v104(constB42)) | (~v95(constB42)))),
% 8.56/6.13 inference(tautology,[status(thm)],[])).
% 8.56/6.13 tff(13308,plain,
% 8.56/6.13 (v94(constB42)),
% 8.56/6.13 inference(unit_resolution,[status(thm)],[13307, 13306, 7842])).
% 8.56/6.13 tff(13309,plain,
% 8.56/6.13 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB42)) | ![B: $i] : ((~less_3(B)) | (v84(constB42, B) <=> v123(constB42, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB42)) | ![B: $i] : ((~less_3(B)) | (v84(constB42, B) <=> v123(constB42, B))))),
% 8.56/6.13 inference(rewrite,[status(thm)],[])).
% 8.56/6.13 tff(13310,plain,
% 8.56/6.13 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB42)) | ![B: $i] : ((~less_3(B)) | (v84(constB42, B) <=> v123(constB42, B))))),
% 8.56/6.13 inference(quant_inst,[status(thm)],[])).
% 8.56/6.13 tff(13311,plain,
% 8.56/6.13 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB42)) | ![B: $i] : ((~less_3(B)) | (v84(constB42, B) <=> v123(constB42, B)))),
% 8.56/6.13 inference(modus_ponens,[status(thm)],[13310, 13309])).
% 8.56/6.13 tff(13312,plain,
% 8.56/6.13 ((~v94(constB42)) | ![B: $i] : ((~less_3(B)) | (v84(constB42, B) <=> v123(constB42, B)))),
% 8.56/6.13 inference(unit_resolution,[status(thm)],[13311, 9902])).
% 8.56/6.13 tff(13313,plain,
% 8.56/6.13 (![B: $i] : ((~less_3(B)) | (v84(constB42, B) <=> v123(constB42, B)))),
% 8.56/6.13 inference(unit_resolution,[status(thm)],[13312, 13308])).
% 8.56/6.13 tff(13314,plain,
% 8.56/6.13 (((~![B: $i] : ((~less_3(B)) | (v84(constB42, B) <=> v123(constB42, B)))) | ((~less_3(bitIndex2)) | (v84(constB42, bitIndex2) <=> v123(constB42, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB42, B) <=> v123(constB42, B)))) | (~less_3(bitIndex2)) | (v84(constB42, bitIndex2) <=> v123(constB42, bitIndex2)))),
% 8.56/6.13 inference(rewrite,[status(thm)],[])).
% 8.56/6.13 tff(13315,plain,
% 8.56/6.13 ((~![B: $i] : ((~less_3(B)) | (v84(constB42, B) <=> v123(constB42, B)))) | ((~less_3(bitIndex2)) | (v84(constB42, bitIndex2) <=> v123(constB42, bitIndex2)))),
% 8.56/6.13 inference(quant_inst,[status(thm)],[])).
% 8.56/6.13 tff(13316,plain,
% 8.56/6.13 ((~![B: $i] : ((~less_3(B)) | (v84(constB42, B) <=> v123(constB42, B)))) | (~less_3(bitIndex2)) | (v84(constB42, bitIndex2) <=> v123(constB42, bitIndex2))),
% 8.56/6.13 inference(modus_ponens,[status(thm)],[13315, 13314])).
% 8.56/6.13 tff(13317,plain,
% 8.56/6.13 (v84(constB42, bitIndex2) <=> v123(constB42, bitIndex2)),
% 8.56/6.13 inference(unit_resolution,[status(thm)],[13316, 832, 13313])).
% 8.56/6.13 tff(13318,plain,
% 8.56/6.13 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB41, constB42)) | ![B: $i] : ((~less_3(B)) | (v123(constB42, B) <=> v121(constB41, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB41, constB42)) | ![B: $i] : ((~less_3(B)) | (v123(constB42, B) <=> v121(constB41, B))))),
% 8.56/6.13 inference(rewrite,[status(thm)],[])).
% 8.56/6.13 tff(13319,plain,
% 8.56/6.13 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB41, constB42)) | ![B: $i] : ((~less_3(B)) | (v123(constB42, B) <=> v121(constB41, B))))),
% 8.56/6.13 inference(quant_inst,[status(thm)],[])).
% 8.56/6.13 tff(13320,plain,
% 8.56/6.13 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB41, constB42)) | ![B: $i] : ((~less_3(B)) | (v123(constB42, B) <=> v121(constB41, B)))),
% 8.56/6.13 inference(modus_ponens,[status(thm)],[13319, 13318])).
% 8.56/6.13 tff(13321,plain,
% 8.56/6.13 (![B: $i] : ((~less_3(B)) | (v123(constB42, B) <=> v121(constB41, B)))),
% 8.56/6.13 inference(unit_resolution,[status(thm)],[13320, 7838, 9924])).
% 8.56/6.13 tff(13322,plain,
% 8.56/6.13 (((~![B: $i] : ((~less_3(B)) | (v123(constB42, B) <=> v121(constB41, B)))) | ((~less_3(bitIndex2)) | (v123(constB42, bitIndex2) <=> v121(constB41, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB42, B) <=> v121(constB41, B)))) | (~less_3(bitIndex2)) | (v123(constB42, bitIndex2) <=> v121(constB41, bitIndex2)))),
% 8.56/6.13 inference(rewrite,[status(thm)],[])).
% 8.56/6.13 tff(13323,plain,
% 8.56/6.13 ((~![B: $i] : ((~less_3(B)) | (v123(constB42, B) <=> v121(constB41, B)))) | ((~less_3(bitIndex2)) | (v123(constB42, bitIndex2) <=> v121(constB41, bitIndex2)))),
% 8.56/6.13 inference(quant_inst,[status(thm)],[])).
% 8.56/6.13 tff(13324,plain,
% 8.56/6.13 ((~![B: $i] : ((~less_3(B)) | (v123(constB42, B) <=> v121(constB41, B)))) | (~less_3(bitIndex2)) | (v123(constB42, bitIndex2) <=> v121(constB41, bitIndex2))),
% 8.56/6.13 inference(modus_ponens,[status(thm)],[13323, 13322])).
% 8.56/6.13 tff(13325,plain,
% 8.56/6.13 (v123(constB42, bitIndex2) <=> v121(constB41, bitIndex2)),
% 8.56/6.13 inference(unit_resolution,[status(thm)],[13324, 832, 13321])).
% 8.56/6.13 tff(13326,plain,
% 8.56/6.13 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB41) | ![B: $i] : ((~less_3(B)) | (v121(constB41, B) <=> v124(constB41, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB41) | ![B: $i] : ((~less_3(B)) | (v121(constB41, B) <=> v124(constB41, B))))),
% 8.56/6.13 inference(rewrite,[status(thm)],[])).
% 8.56/6.13 tff(13327,plain,
% 8.56/6.13 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB41) | ![B: $i] : ((~less_3(B)) | (v121(constB41, B) <=> v124(constB41, B))))),
% 8.56/6.13 inference(quant_inst,[status(thm)],[])).
% 8.56/6.13 tff(13328,plain,
% 8.56/6.13 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB41) | ![B: $i] : ((~less_3(B)) | (v121(constB41, B) <=> v124(constB41, B)))),
% 8.56/6.13 inference(modus_ponens,[status(thm)],[13327, 13326])).
% 8.56/6.13 tff(13329,plain,
% 8.56/6.13 (![B: $i] : ((~less_3(B)) | (v121(constB41, B) <=> v124(constB41, B)))),
% 8.56/6.13 inference(unit_resolution,[status(thm)],[13328, 9945, 13290])).
% 8.56/6.13 tff(13330,plain,
% 8.56/6.13 (((~![B: $i] : ((~less_3(B)) | (v121(constB41, B) <=> v124(constB41, B)))) | ((~less_3(bitIndex2)) | (v121(constB41, bitIndex2) <=> v124(constB41, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB41, B) <=> v124(constB41, B)))) | (~less_3(bitIndex2)) | (v121(constB41, bitIndex2) <=> v124(constB41, bitIndex2)))),
% 8.56/6.13 inference(rewrite,[status(thm)],[])).
% 8.56/6.13 tff(13331,plain,
% 8.56/6.13 ((~![B: $i] : ((~less_3(B)) | (v121(constB41, B) <=> v124(constB41, B)))) | ((~less_3(bitIndex2)) | (v121(constB41, bitIndex2) <=> v124(constB41, bitIndex2)))),
% 8.56/6.13 inference(quant_inst,[status(thm)],[])).
% 8.56/6.13 tff(13332,plain,
% 8.56/6.13 ((~![B: $i] : ((~less_3(B)) | (v121(constB41, B) <=> v124(constB41, B)))) | (~less_3(bitIndex2)) | (v121(constB41, bitIndex2) <=> v124(constB41, bitIndex2))),
% 8.56/6.13 inference(modus_ponens,[status(thm)],[13331, 13330])).
% 8.56/6.13 tff(13333,plain,
% 8.56/6.13 (v121(constB41, bitIndex2) <=> v124(constB41, bitIndex2)),
% 8.56/6.13 inference(unit_resolution,[status(thm)],[13332, 832, 13329])).
% 8.56/6.13 tff(13334,plain,
% 8.56/6.13 (((~![VarCurr: $i] : ((~v115(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b011(B))))) | ((~v115(constB41)) | ![B: $i] : ((~less_3(B)) | (v124(constB41, B) <=> b011(B))))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b011(B))))) | (~v115(constB41)) | ![B: $i] : ((~less_3(B)) | (v124(constB41, B) <=> b011(B))))),
% 8.56/6.13 inference(rewrite,[status(thm)],[])).
% 8.56/6.13 tff(13335,plain,
% 8.56/6.13 ((~![VarCurr: $i] : ((~v115(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b011(B))))) | ((~v115(constB41)) | ![B: $i] : ((~less_3(B)) | (v124(constB41, B) <=> b011(B))))),
% 8.56/6.13 inference(quant_inst,[status(thm)],[])).
% 8.56/6.13 tff(13336,plain,
% 8.56/6.13 ((~![VarCurr: $i] : ((~v115(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b011(B))))) | (~v115(constB41)) | ![B: $i] : ((~less_3(B)) | (v124(constB41, B) <=> b011(B)))),
% 8.56/6.13 inference(modus_ponens,[status(thm)],[13335, 13334])).
% 8.56/6.13 tff(13337,plain,
% 8.56/6.13 ((~v115(constB41)) | ![B: $i] : ((~less_3(B)) | (v124(constB41, B) <=> b011(B)))),
% 8.56/6.13 inference(unit_resolution,[status(thm)],[13336, 10329])).
% 8.56/6.13 tff(13338,plain,
% 8.56/6.13 (![B: $i] : ((~less_3(B)) | (v124(constB41, B) <=> b011(B)))),
% 8.56/6.13 inference(unit_resolution,[status(thm)],[13337, 13261])).
% 8.56/6.13 tff(13339,plain,
% 8.56/6.13 (((~![B: $i] : ((~less_3(B)) | (v124(constB41, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v124(constB41, bitIndex2) <=> b011(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB41, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v124(constB41, bitIndex2) <=> b011(bitIndex2)))),
% 8.56/6.13 inference(rewrite,[status(thm)],[])).
% 8.56/6.13 tff(13340,plain,
% 8.56/6.13 ((~![B: $i] : ((~less_3(B)) | (v124(constB41, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v124(constB41, bitIndex2) <=> b011(bitIndex2)))),
% 8.56/6.13 inference(quant_inst,[status(thm)],[])).
% 8.56/6.13 tff(13341,plain,
% 8.56/6.13 ((~![B: $i] : ((~less_3(B)) | (v124(constB41, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v124(constB41, bitIndex2) <=> b011(bitIndex2))),
% 8.56/6.13 inference(modus_ponens,[status(thm)],[13340, 13339])).
% 8.56/6.13 tff(13342,plain,
% 8.56/6.13 (v124(constB41, bitIndex2) <=> b011(bitIndex2)),
% 8.56/6.13 inference(unit_resolution,[status(thm)],[13341, 832, 13338])).
% 8.56/6.13 tff(13343,plain,
% 8.56/6.13 ((~(v124(constB41, bitIndex2) <=> b011(bitIndex2))) | (~v124(constB41, bitIndex2)) | b011(bitIndex2)),
% 8.56/6.13 inference(tautology,[status(thm)],[])).
% 8.56/6.13 tff(13344,plain,
% 8.56/6.13 ((~(v124(constB41, bitIndex2) <=> b011(bitIndex2))) | (~v124(constB41, bitIndex2))),
% 8.56/6.13 inference(unit_resolution,[status(thm)],[13343, 10341])).
% 8.56/6.13 tff(13345,plain,
% 8.56/6.13 (~v124(constB41, bitIndex2)),
% 8.56/6.13 inference(unit_resolution,[status(thm)],[13344, 13342])).
% 8.56/6.13 tff(13346,plain,
% 8.56/6.13 ((~(v121(constB41, bitIndex2) <=> v124(constB41, bitIndex2))) | (~v121(constB41, bitIndex2)) | v124(constB41, bitIndex2)),
% 8.56/6.13 inference(tautology,[status(thm)],[])).
% 8.56/6.13 tff(13347,plain,
% 8.56/6.13 (~v121(constB41, bitIndex2)),
% 8.56/6.13 inference(unit_resolution,[status(thm)],[13346, 13345, 13333])).
% 8.56/6.13 tff(13348,plain,
% 8.56/6.13 ((~(v123(constB42, bitIndex2) <=> v121(constB41, bitIndex2))) | (~v123(constB42, bitIndex2)) | v121(constB41, bitIndex2)),
% 8.56/6.13 inference(tautology,[status(thm)],[])).
% 8.56/6.13 tff(13349,plain,
% 8.56/6.13 (~v123(constB42, bitIndex2)),
% 8.56/6.13 inference(unit_resolution,[status(thm)],[13348, 13347, 13325])).
% 8.56/6.13 tff(13350,plain,
% 8.56/6.13 ((~(v84(constB42, bitIndex2) <=> v123(constB42, bitIndex2))) | (~v84(constB42, bitIndex2)) | v123(constB42, bitIndex2)),
% 8.56/6.13 inference(tautology,[status(thm)],[])).
% 8.56/6.13 tff(13351,plain,
% 8.56/6.13 (~v84(constB42, bitIndex2)),
% 8.56/6.13 inference(unit_resolution,[status(thm)],[13350, 13349, 13317])).
% 8.56/6.13 tff(13352,plain,
% 8.56/6.13 ((~(v84(constB43, bitIndex2) <=> v84(constB42, bitIndex2))) | (~v84(constB43, bitIndex2)) | v84(constB42, bitIndex2)),
% 8.56/6.13 inference(tautology,[status(thm)],[])).
% 8.56/6.13 tff(13353,plain,
% 8.56/6.13 (~v84(constB43, bitIndex2)),
% 8.56/6.13 inference(unit_resolution,[status(thm)],[13352, 13351, 7835])).
% 8.56/6.13 tff(13354,plain,
% 8.56/6.13 (((~![B: $i] : ((~less_3(B)) | (v84(constB43, B) <=> v84(constB42, B)))) | ((~less_3(bitIndex0)) | (v84(constB43, bitIndex0) <=> v84(constB42, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB43, B) <=> v84(constB42, B)))) | (~less_3(bitIndex0)) | (v84(constB43, bitIndex0) <=> v84(constB42, bitIndex0)))),
% 8.56/6.13 inference(rewrite,[status(thm)],[])).
% 8.56/6.13 tff(13355,plain,
% 8.56/6.13 ((~![B: $i] : ((~less_3(B)) | (v84(constB43, B) <=> v84(constB42, B)))) | ((~less_3(bitIndex0)) | (v84(constB43, bitIndex0) <=> v84(constB42, bitIndex0)))),
% 8.56/6.13 inference(quant_inst,[status(thm)],[])).
% 8.56/6.13 tff(13356,plain,
% 8.56/6.13 ((~![B: $i] : ((~less_3(B)) | (v84(constB43, B) <=> v84(constB42, B)))) | (~less_3(bitIndex0)) | (v84(constB43, bitIndex0) <=> v84(constB42, bitIndex0))),
% 8.56/6.13 inference(modus_ponens,[status(thm)],[13355, 13354])).
% 8.56/6.13 tff(13357,plain,
% 8.56/6.13 (v84(constB43, bitIndex0) <=> v84(constB42, bitIndex0)),
% 8.56/6.13 inference(unit_resolution,[status(thm)],[13356, 9772, 7831])).
% 8.56/6.13 tff(13358,plain,
% 8.56/6.13 (((~![B: $i] : ((~less_3(B)) | (v84(constB42, B) <=> v123(constB42, B)))) | ((~less_3(bitIndex0)) | (v84(constB42, bitIndex0) <=> v123(constB42, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB42, B) <=> v123(constB42, B)))) | (~less_3(bitIndex0)) | (v84(constB42, bitIndex0) <=> v123(constB42, bitIndex0)))),
% 8.56/6.13 inference(rewrite,[status(thm)],[])).
% 8.56/6.13 tff(13359,plain,
% 8.56/6.13 ((~![B: $i] : ((~less_3(B)) | (v84(constB42, B) <=> v123(constB42, B)))) | ((~less_3(bitIndex0)) | (v84(constB42, bitIndex0) <=> v123(constB42, bitIndex0)))),
% 8.56/6.13 inference(quant_inst,[status(thm)],[])).
% 8.56/6.13 tff(13360,plain,
% 8.56/6.13 ((~![B: $i] : ((~less_3(B)) | (v84(constB42, B) <=> v123(constB42, B)))) | (~less_3(bitIndex0)) | (v84(constB42, bitIndex0) <=> v123(constB42, bitIndex0))),
% 8.56/6.13 inference(modus_ponens,[status(thm)],[13359, 13358])).
% 8.56/6.13 tff(13361,plain,
% 8.56/6.13 (v84(constB42, bitIndex0) <=> v123(constB42, bitIndex0)),
% 8.56/6.13 inference(unit_resolution,[status(thm)],[13360, 9772, 13313])).
% 8.56/6.13 tff(13362,plain,
% 8.56/6.13 (((~![B: $i] : ((~less_3(B)) | (v123(constB42, B) <=> v121(constB41, B)))) | ((~less_3(bitIndex0)) | (v123(constB42, bitIndex0) <=> v121(constB41, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB42, B) <=> v121(constB41, B)))) | (~less_3(bitIndex0)) | (v123(constB42, bitIndex0) <=> v121(constB41, bitIndex0)))),
% 8.56/6.13 inference(rewrite,[status(thm)],[])).
% 8.56/6.13 tff(13363,plain,
% 8.56/6.13 ((~![B: $i] : ((~less_3(B)) | (v123(constB42, B) <=> v121(constB41, B)))) | ((~less_3(bitIndex0)) | (v123(constB42, bitIndex0) <=> v121(constB41, bitIndex0)))),
% 8.56/6.13 inference(quant_inst,[status(thm)],[])).
% 8.56/6.13 tff(13364,plain,
% 8.56/6.13 ((~![B: $i] : ((~less_3(B)) | (v123(constB42, B) <=> v121(constB41, B)))) | (~less_3(bitIndex0)) | (v123(constB42, bitIndex0) <=> v121(constB41, bitIndex0))),
% 8.56/6.13 inference(modus_ponens,[status(thm)],[13363, 13362])).
% 8.56/6.13 tff(13365,plain,
% 8.56/6.13 (v123(constB42, bitIndex0) <=> v121(constB41, bitIndex0)),
% 8.56/6.13 inference(unit_resolution,[status(thm)],[13364, 9772, 13321])).
% 8.56/6.13 tff(13366,plain,
% 8.56/6.13 (((~![B: $i] : ((~less_3(B)) | (v121(constB41, B) <=> v124(constB41, B)))) | ((~less_3(bitIndex0)) | (v121(constB41, bitIndex0) <=> v124(constB41, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB41, B) <=> v124(constB41, B)))) | (~less_3(bitIndex0)) | (v121(constB41, bitIndex0) <=> v124(constB41, bitIndex0)))),
% 8.56/6.13 inference(rewrite,[status(thm)],[])).
% 8.56/6.13 tff(13367,plain,
% 8.56/6.13 ((~![B: $i] : ((~less_3(B)) | (v121(constB41, B) <=> v124(constB41, B)))) | ((~less_3(bitIndex0)) | (v121(constB41, bitIndex0) <=> v124(constB41, bitIndex0)))),
% 8.56/6.13 inference(quant_inst,[status(thm)],[])).
% 8.56/6.13 tff(13368,plain,
% 8.56/6.13 ((~![B: $i] : ((~less_3(B)) | (v121(constB41, B) <=> v124(constB41, B)))) | (~less_3(bitIndex0)) | (v121(constB41, bitIndex0) <=> v124(constB41, bitIndex0))),
% 8.56/6.13 inference(modus_ponens,[status(thm)],[13367, 13366])).
% 8.56/6.13 tff(13369,plain,
% 8.56/6.13 (v121(constB41, bitIndex0) <=> v124(constB41, bitIndex0)),
% 8.56/6.13 inference(unit_resolution,[status(thm)],[13368, 9772, 13329])).
% 8.56/6.13 tff(13370,plain,
% 8.56/6.13 (((~![B: $i] : ((~less_3(B)) | (v124(constB41, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v124(constB41, bitIndex0) <=> b011(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB41, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v124(constB41, bitIndex0) <=> b011(bitIndex0)))),
% 8.56/6.13 inference(rewrite,[status(thm)],[])).
% 8.56/6.13 tff(13371,plain,
% 8.56/6.13 ((~![B: $i] : ((~less_3(B)) | (v124(constB41, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v124(constB41, bitIndex0) <=> b011(bitIndex0)))),
% 8.56/6.13 inference(quant_inst,[status(thm)],[])).
% 8.56/6.13 tff(13372,plain,
% 8.56/6.13 ((~![B: $i] : ((~less_3(B)) | (v124(constB41, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v124(constB41, bitIndex0) <=> b011(bitIndex0))),
% 8.56/6.13 inference(modus_ponens,[status(thm)],[13371, 13370])).
% 8.56/6.13 tff(13373,plain,
% 8.56/6.13 (v124(constB41, bitIndex0) <=> b011(bitIndex0)),
% 8.56/6.13 inference(unit_resolution,[status(thm)],[13372, 9772, 13338])).
% 8.56/6.13 tff(13374,plain,
% 8.56/6.13 ((~(v124(constB41, bitIndex0) <=> b011(bitIndex0))) | v124(constB41, bitIndex0) | (~b011(bitIndex0))),
% 8.56/6.13 inference(tautology,[status(thm)],[])).
% 8.56/6.13 tff(13375,plain,
% 8.56/6.13 ((~(v124(constB41, bitIndex0) <=> b011(bitIndex0))) | v124(constB41, bitIndex0)),
% 8.56/6.13 inference(unit_resolution,[status(thm)],[13374, 10375])).
% 8.56/6.13 tff(13376,plain,
% 8.56/6.13 (v124(constB41, bitIndex0)),
% 8.56/6.13 inference(unit_resolution,[status(thm)],[13375, 13373])).
% 8.56/6.13 tff(13377,plain,
% 8.56/6.13 ((~(v121(constB41, bitIndex0) <=> v124(constB41, bitIndex0))) | v121(constB41, bitIndex0) | (~v124(constB41, bitIndex0))),
% 8.56/6.13 inference(tautology,[status(thm)],[])).
% 8.56/6.13 tff(13378,plain,
% 8.56/6.13 (v121(constB41, bitIndex0)),
% 8.56/6.13 inference(unit_resolution,[status(thm)],[13377, 13376, 13369])).
% 8.56/6.13 tff(13379,plain,
% 8.56/6.13 ((~(v123(constB42, bitIndex0) <=> v121(constB41, bitIndex0))) | v123(constB42, bitIndex0) | (~v121(constB41, bitIndex0))),
% 8.56/6.13 inference(tautology,[status(thm)],[])).
% 8.56/6.13 tff(13380,plain,
% 8.56/6.13 (v123(constB42, bitIndex0)),
% 8.56/6.13 inference(unit_resolution,[status(thm)],[13379, 13378, 13365])).
% 8.56/6.13 tff(13381,plain,
% 8.56/6.13 ((~(v84(constB42, bitIndex0) <=> v123(constB42, bitIndex0))) | v84(constB42, bitIndex0) | (~v123(constB42, bitIndex0))),
% 8.56/6.13 inference(tautology,[status(thm)],[])).
% 8.56/6.13 tff(13382,plain,
% 8.56/6.13 (v84(constB42, bitIndex0)),
% 8.56/6.13 inference(unit_resolution,[status(thm)],[13381, 13380, 13361])).
% 8.56/6.13 tff(13383,plain,
% 8.56/6.13 ((~(v84(constB43, bitIndex0) <=> v84(constB42, bitIndex0))) | v84(constB43, bitIndex0) | (~v84(constB42, bitIndex0))),
% 8.56/6.13 inference(tautology,[status(thm)],[])).
% 8.56/6.13 tff(13384,plain,
% 8.56/6.13 (v84(constB43, bitIndex0)),
% 8.56/6.13 inference(unit_resolution,[status(thm)],[13383, 13382, 13357])).
% 8.56/6.13 tff(13385,plain,
% 8.56/6.13 (((~![B: $i] : ((~less_3(B)) | (v84(constB43, B) <=> v84(constB42, B)))) | ((~less_3(bitIndex1)) | (v84(constB43, bitIndex1) <=> v84(constB42, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB43, B) <=> v84(constB42, B)))) | (~less_3(bitIndex1)) | (v84(constB43, bitIndex1) <=> v84(constB42, bitIndex1)))),
% 8.56/6.13 inference(rewrite,[status(thm)],[])).
% 8.56/6.13 tff(13386,plain,
% 8.56/6.13 ((~![B: $i] : ((~less_3(B)) | (v84(constB43, B) <=> v84(constB42, B)))) | ((~less_3(bitIndex1)) | (v84(constB43, bitIndex1) <=> v84(constB42, bitIndex1)))),
% 8.56/6.13 inference(quant_inst,[status(thm)],[])).
% 8.56/6.13 tff(13387,plain,
% 8.56/6.13 ((~![B: $i] : ((~less_3(B)) | (v84(constB43, B) <=> v84(constB42, B)))) | (~less_3(bitIndex1)) | (v84(constB43, bitIndex1) <=> v84(constB42, bitIndex1))),
% 8.56/6.13 inference(modus_ponens,[status(thm)],[13386, 13385])).
% 8.56/6.13 tff(13388,plain,
% 8.56/6.13 (v84(constB43, bitIndex1) <=> v84(constB42, bitIndex1)),
% 8.56/6.13 inference(unit_resolution,[status(thm)],[13387, 9785, 7831])).
% 8.56/6.13 tff(13389,plain,
% 8.56/6.13 (((~![B: $i] : ((~less_3(B)) | (v84(constB42, B) <=> v123(constB42, B)))) | ((~less_3(bitIndex1)) | (v84(constB42, bitIndex1) <=> v123(constB42, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB42, B) <=> v123(constB42, B)))) | (~less_3(bitIndex1)) | (v84(constB42, bitIndex1) <=> v123(constB42, bitIndex1)))),
% 8.56/6.13 inference(rewrite,[status(thm)],[])).
% 8.56/6.13 tff(13390,plain,
% 8.56/6.13 ((~![B: $i] : ((~less_3(B)) | (v84(constB42, B) <=> v123(constB42, B)))) | ((~less_3(bitIndex1)) | (v84(constB42, bitIndex1) <=> v123(constB42, bitIndex1)))),
% 8.56/6.13 inference(quant_inst,[status(thm)],[])).
% 8.56/6.13 tff(13391,plain,
% 8.56/6.13 ((~![B: $i] : ((~less_3(B)) | (v84(constB42, B) <=> v123(constB42, B)))) | (~less_3(bitIndex1)) | (v84(constB42, bitIndex1) <=> v123(constB42, bitIndex1))),
% 8.56/6.13 inference(modus_ponens,[status(thm)],[13390, 13389])).
% 8.56/6.13 tff(13392,plain,
% 8.56/6.13 (v84(constB42, bitIndex1) <=> v123(constB42, bitIndex1)),
% 8.56/6.13 inference(unit_resolution,[status(thm)],[13391, 9785, 13313])).
% 8.56/6.13 tff(13393,plain,
% 8.56/6.13 (((~![B: $i] : ((~less_3(B)) | (v123(constB42, B) <=> v121(constB41, B)))) | ((~less_3(bitIndex1)) | (v123(constB42, bitIndex1) <=> v121(constB41, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB42, B) <=> v121(constB41, B)))) | (~less_3(bitIndex1)) | (v123(constB42, bitIndex1) <=> v121(constB41, bitIndex1)))),
% 8.56/6.13 inference(rewrite,[status(thm)],[])).
% 8.56/6.13 tff(13394,plain,
% 8.56/6.13 ((~![B: $i] : ((~less_3(B)) | (v123(constB42, B) <=> v121(constB41, B)))) | ((~less_3(bitIndex1)) | (v123(constB42, bitIndex1) <=> v121(constB41, bitIndex1)))),
% 8.56/6.13 inference(quant_inst,[status(thm)],[])).
% 8.56/6.13 tff(13395,plain,
% 8.56/6.13 ((~![B: $i] : ((~less_3(B)) | (v123(constB42, B) <=> v121(constB41, B)))) | (~less_3(bitIndex1)) | (v123(constB42, bitIndex1) <=> v121(constB41, bitIndex1))),
% 8.56/6.13 inference(modus_ponens,[status(thm)],[13394, 13393])).
% 8.56/6.13 tff(13396,plain,
% 8.56/6.13 (v123(constB42, bitIndex1) <=> v121(constB41, bitIndex1)),
% 8.56/6.13 inference(unit_resolution,[status(thm)],[13395, 9785, 13321])).
% 8.56/6.13 tff(13397,plain,
% 8.56/6.13 (((~![B: $i] : ((~less_3(B)) | (v121(constB41, B) <=> v124(constB41, B)))) | ((~less_3(bitIndex1)) | (v121(constB41, bitIndex1) <=> v124(constB41, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB41, B) <=> v124(constB41, B)))) | (~less_3(bitIndex1)) | (v121(constB41, bitIndex1) <=> v124(constB41, bitIndex1)))),
% 8.56/6.13 inference(rewrite,[status(thm)],[])).
% 8.56/6.13 tff(13398,plain,
% 8.56/6.13 ((~![B: $i] : ((~less_3(B)) | (v121(constB41, B) <=> v124(constB41, B)))) | ((~less_3(bitIndex1)) | (v121(constB41, bitIndex1) <=> v124(constB41, bitIndex1)))),
% 8.56/6.13 inference(quant_inst,[status(thm)],[])).
% 8.56/6.13 tff(13399,plain,
% 8.56/6.13 ((~![B: $i] : ((~less_3(B)) | (v121(constB41, B) <=> v124(constB41, B)))) | (~less_3(bitIndex1)) | (v121(constB41, bitIndex1) <=> v124(constB41, bitIndex1))),
% 8.56/6.13 inference(modus_ponens,[status(thm)],[13398, 13397])).
% 8.56/6.13 tff(13400,plain,
% 8.56/6.13 (v121(constB41, bitIndex1) <=> v124(constB41, bitIndex1)),
% 8.56/6.13 inference(unit_resolution,[status(thm)],[13399, 9785, 13329])).
% 8.56/6.13 tff(13401,plain,
% 8.56/6.13 (((~![B: $i] : ((~less_3(B)) | (v124(constB41, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v124(constB41, bitIndex1) <=> b011(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB41, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v124(constB41, bitIndex1) <=> b011(bitIndex1)))),
% 8.56/6.13 inference(rewrite,[status(thm)],[])).
% 8.56/6.13 tff(13402,plain,
% 8.56/6.13 ((~![B: $i] : ((~less_3(B)) | (v124(constB41, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v124(constB41, bitIndex1) <=> b011(bitIndex1)))),
% 8.56/6.13 inference(quant_inst,[status(thm)],[])).
% 8.56/6.13 tff(13403,plain,
% 8.56/6.13 ((~![B: $i] : ((~less_3(B)) | (v124(constB41, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v124(constB41, bitIndex1) <=> b011(bitIndex1))),
% 8.56/6.13 inference(modus_ponens,[status(thm)],[13402, 13401])).
% 8.56/6.13 tff(13404,plain,
% 8.56/6.13 (v124(constB41, bitIndex1) <=> b011(bitIndex1)),
% 8.56/6.13 inference(unit_resolution,[status(thm)],[13403, 9785, 13338])).
% 8.56/6.13 tff(13405,plain,
% 8.56/6.13 ((~(v124(constB41, bitIndex1) <=> b011(bitIndex1))) | v124(constB41, bitIndex1) | (~b011(bitIndex1))),
% 8.56/6.13 inference(tautology,[status(thm)],[])).
% 8.56/6.13 tff(13406,plain,
% 8.56/6.13 ((~(v124(constB41, bitIndex1) <=> b011(bitIndex1))) | v124(constB41, bitIndex1)),
% 8.56/6.13 inference(unit_resolution,[status(thm)],[13405, 10409])).
% 8.56/6.13 tff(13407,plain,
% 8.56/6.13 (v124(constB41, bitIndex1)),
% 8.56/6.13 inference(unit_resolution,[status(thm)],[13406, 13404])).
% 8.56/6.13 tff(13408,plain,
% 8.56/6.13 ((~(v121(constB41, bitIndex1) <=> v124(constB41, bitIndex1))) | v121(constB41, bitIndex1) | (~v124(constB41, bitIndex1))),
% 8.56/6.13 inference(tautology,[status(thm)],[])).
% 8.56/6.13 tff(13409,plain,
% 8.56/6.13 (v121(constB41, bitIndex1)),
% 8.56/6.13 inference(unit_resolution,[status(thm)],[13408, 13407, 13400])).
% 8.56/6.13 tff(13410,plain,
% 8.56/6.13 ((~(v123(constB42, bitIndex1) <=> v121(constB41, bitIndex1))) | v123(constB42, bitIndex1) | (~v121(constB41, bitIndex1))),
% 8.56/6.13 inference(tautology,[status(thm)],[])).
% 8.56/6.13 tff(13411,plain,
% 8.56/6.13 (v123(constB42, bitIndex1)),
% 8.56/6.13 inference(unit_resolution,[status(thm)],[13410, 13409, 13396])).
% 8.56/6.13 tff(13412,plain,
% 8.56/6.13 ((~(v84(constB42, bitIndex1) <=> v123(constB42, bitIndex1))) | v84(constB42, bitIndex1) | (~v123(constB42, bitIndex1))),
% 8.56/6.13 inference(tautology,[status(thm)],[])).
% 8.56/6.13 tff(13413,plain,
% 8.56/6.13 (v84(constB42, bitIndex1)),
% 8.56/6.13 inference(unit_resolution,[status(thm)],[13412, 13411, 13392])).
% 8.56/6.13 tff(13414,plain,
% 8.56/6.13 ((~(v84(constB43, bitIndex1) <=> v84(constB42, bitIndex1))) | v84(constB43, bitIndex1) | (~v84(constB42, bitIndex1))),
% 8.56/6.13 inference(tautology,[status(thm)],[])).
% 8.56/6.13 tff(13415,plain,
% 8.56/6.13 (v84(constB43, bitIndex1)),
% 8.56/6.13 inference(unit_resolution,[status(thm)],[13414, 13413, 13388])).
% 8.56/6.13 tff(13416,plain,
% 8.56/6.13 ((~(v84(constB43, bitIndex2) | (~v84(constB43, bitIndex1)) | (~v84(constB43, bitIndex0)))) | v84(constB43, bitIndex2) | (~v84(constB43, bitIndex1)) | (~v84(constB43, bitIndex0))),
% 8.56/6.13 inference(tautology,[status(thm)],[])).
% 8.56/6.13 tff(13417,plain,
% 8.56/6.13 (~(v84(constB43, bitIndex2) | (~v84(constB43, bitIndex1)) | (~v84(constB43, bitIndex0)))),
% 8.56/6.14 inference(unit_resolution,[status(thm)],[13416, 13415, 13384, 13353])).
% 8.56/6.14 tff(13418,plain,
% 8.56/6.14 ((~(v116(constB43) <=> (~(v84(constB43, bitIndex2) | (~v84(constB43, bitIndex1)) | (~v84(constB43, bitIndex0)))))) | v116(constB43) | (v84(constB43, bitIndex2) | (~v84(constB43, bitIndex1)) | (~v84(constB43, bitIndex0)))),
% 8.56/6.14 inference(tautology,[status(thm)],[])).
% 8.56/6.14 tff(13419,plain,
% 8.56/6.14 (v116(constB43)),
% 8.56/6.14 inference(unit_resolution,[status(thm)],[13418, 13417, 7803])).
% 8.56/6.14 tff(13420,plain,
% 8.56/6.14 ((v111(constB43) | v116(constB43)) | (~v116(constB43))),
% 8.56/6.14 inference(tautology,[status(thm)],[])).
% 8.56/6.14 tff(13421,plain,
% 8.56/6.14 (v111(constB43) | v116(constB43)),
% 8.56/6.14 inference(unit_resolution,[status(thm)],[13420, 13419])).
% 8.56/6.14 tff(13422,plain,
% 8.56/6.14 ((~(v110(constB43) <=> (v111(constB43) | v116(constB43)))) | v110(constB43) | (~(v111(constB43) | v116(constB43)))),
% 8.56/6.14 inference(tautology,[status(thm)],[])).
% 8.56/6.14 tff(13423,plain,
% 8.56/6.14 (v110(constB43)),
% 8.56/6.14 inference(unit_resolution,[status(thm)],[13422, 13421, 7801])).
% 8.56/6.14 tff(13424,plain,
% 8.56/6.14 ((v110(constB43) | v117(constB43)) | (~v110(constB43))),
% 8.56/6.14 inference(tautology,[status(thm)],[])).
% 8.56/6.14 tff(13425,plain,
% 8.56/6.14 (v110(constB43) | v117(constB43)),
% 8.56/6.14 inference(unit_resolution,[status(thm)],[13424, 13423])).
% 8.56/6.14 tff(13426,plain,
% 8.56/6.14 ((~(v109(constB43) <=> (v110(constB43) | v117(constB43)))) | v109(constB43) | (~(v110(constB43) | v117(constB43)))),
% 8.56/6.14 inference(tautology,[status(thm)],[])).
% 8.56/6.14 tff(13427,plain,
% 8.56/6.14 (v109(constB43)),
% 8.56/6.14 inference(unit_resolution,[status(thm)],[13426, 13425, 7799])).
% 8.56/6.14 tff(13428,plain,
% 8.56/6.14 ((v109(constB43) | v118(constB43)) | (~v109(constB43))),
% 8.56/6.14 inference(tautology,[status(thm)],[])).
% 8.56/6.14 tff(13429,plain,
% 8.56/6.14 (v109(constB43) | v118(constB43)),
% 8.56/6.14 inference(unit_resolution,[status(thm)],[13428, 13427])).
% 8.56/6.14 tff(13430,plain,
% 8.56/6.14 ((~(v108(constB43) <=> (v109(constB43) | v118(constB43)))) | v108(constB43) | (~(v109(constB43) | v118(constB43)))),
% 8.56/6.14 inference(tautology,[status(thm)],[])).
% 8.56/6.14 tff(13431,plain,
% 8.56/6.14 (v108(constB43)),
% 8.56/6.14 inference(unit_resolution,[status(thm)],[13430, 13429, 7797])).
% 8.56/6.14 tff(13432,plain,
% 8.56/6.14 ((v108(constB43) | v119(constB43)) | (~v108(constB43))),
% 8.56/6.14 inference(tautology,[status(thm)],[])).
% 8.56/6.14 tff(13433,plain,
% 8.56/6.14 (v108(constB43) | v119(constB43)),
% 8.56/6.14 inference(unit_resolution,[status(thm)],[13432, 13431])).
% 8.56/6.14 tff(13434,plain,
% 8.56/6.14 ((~(v107(constB43) <=> (v108(constB43) | v119(constB43)))) | v107(constB43) | (~(v108(constB43) | v119(constB43)))),
% 8.56/6.14 inference(tautology,[status(thm)],[])).
% 8.56/6.14 tff(13435,plain,
% 8.56/6.14 (v107(constB43)),
% 8.56/6.14 inference(unit_resolution,[status(thm)],[13434, 13433, 7795])).
% 8.56/6.14 tff(13436,plain,
% 8.56/6.14 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB43)) <=> v105(constB43))),
% 8.56/6.14 inference(quant_inst,[status(thm)],[])).
% 8.56/6.14 tff(13437,plain,
% 8.56/6.14 ((~v120(constB43)) <=> v105(constB43)),
% 8.56/6.14 inference(unit_resolution,[status(thm)],[13436, 9842])).
% 8.56/6.14 tff(13438,plain,
% 8.56/6.14 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB43) <=> v26(constB43))),
% 8.56/6.14 inference(quant_inst,[status(thm)],[])).
% 8.56/6.14 tff(13439,plain,
% 8.56/6.14 (v105(constB43) <=> v26(constB43)),
% 8.56/6.14 inference(unit_resolution,[status(thm)],[13438, 9854])).
% 8.56/6.14 tff(13440,plain,
% 8.56/6.14 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB43))),
% 8.56/6.14 inference(quant_inst,[status(thm)],[])).
% 8.56/6.14 tff(13441,plain,
% 8.56/6.14 (~v26(constB43)),
% 8.56/6.14 inference(unit_resolution,[status(thm)],[13440, 9866])).
% 8.56/6.14 tff(13442,plain,
% 8.56/6.14 ((~(v105(constB43) <=> v26(constB43))) | (~v105(constB43)) | v26(constB43)),
% 8.56/6.14 inference(tautology,[status(thm)],[])).
% 8.56/6.14 tff(13443,plain,
% 8.56/6.14 ((~(v105(constB43) <=> v26(constB43))) | (~v105(constB43))),
% 8.56/6.14 inference(unit_resolution,[status(thm)],[13442, 13441])).
% 8.56/6.14 tff(13444,plain,
% 8.56/6.14 (~v105(constB43)),
% 8.56/6.14 inference(unit_resolution,[status(thm)],[13443, 13439])).
% 8.56/6.14 tff(13445,plain,
% 8.56/6.14 ((~((~v120(constB43)) <=> v105(constB43))) | v120(constB43) | v105(constB43)),
% 8.56/6.14 inference(tautology,[status(thm)],[])).
% 8.56/6.14 tff(13446,plain,
% 8.56/6.14 ((~((~v120(constB43)) <=> v105(constB43))) | v120(constB43)),
% 8.56/6.14 inference(unit_resolution,[status(thm)],[13445, 13444])).
% 8.56/6.14 tff(13447,plain,
% 8.56/6.14 (v120(constB43)),
% 8.56/6.14 inference(unit_resolution,[status(thm)],[13446, 13437])).
% 8.56/6.14 tff(13448,plain,
% 8.56/6.14 ((~((~v107(constB43)) | (~v120(constB43)))) | (~v107(constB43)) | (~v120(constB43))),
% 8.56/6.14 inference(tautology,[status(thm)],[])).
% 8.56/6.14 tff(13449,plain,
% 8.56/6.14 ((~((~v107(constB43)) | (~v120(constB43)))) | (~v107(constB43))),
% 8.56/6.14 inference(unit_resolution,[status(thm)],[13448, 13447])).
% 8.56/6.14 tff(13450,plain,
% 8.56/6.14 (~((~v107(constB43)) | (~v120(constB43)))),
% 8.56/6.14 inference(unit_resolution,[status(thm)],[13449, 13435])).
% 8.56/6.14 tff(13451,plain,
% 8.56/6.14 ((~(v106(constB43) <=> (~((~v107(constB43)) | (~v120(constB43)))))) | v106(constB43) | ((~v107(constB43)) | (~v120(constB43)))),
% 8.56/6.14 inference(tautology,[status(thm)],[])).
% 8.56/6.14 tff(13452,plain,
% 8.56/6.14 (v106(constB43)),
% 8.56/6.14 inference(unit_resolution,[status(thm)],[13451, 13450, 7793])).
% 8.56/6.14 tff(13453,plain,
% 8.56/6.14 ((v105(constB43) | v106(constB43)) | (~v106(constB43))),
% 8.56/6.14 inference(tautology,[status(thm)],[])).
% 8.56/6.14 tff(13454,plain,
% 8.56/6.14 (v105(constB43) | v106(constB43)),
% 8.56/6.14 inference(unit_resolution,[status(thm)],[13453, 13452])).
% 8.56/6.14 tff(13455,plain,
% 8.56/6.14 ((~(v102(constB43) <=> (v105(constB43) | v106(constB43)))) | v102(constB43) | (~(v105(constB43) | v106(constB43)))),
% 8.56/6.14 inference(tautology,[status(thm)],[])).
% 8.56/6.14 tff(13456,plain,
% 8.56/6.14 (v102(constB43)),
% 8.56/6.14 inference(unit_resolution,[status(thm)],[13455, 13454, 7791])).
% 8.56/6.14 tff(13457,plain,
% 8.56/6.14 ((~(v104(constB44) <=> v102(constB43))) | v104(constB44) | (~v102(constB43))),
% 8.56/6.14 inference(tautology,[status(thm)],[])).
% 8.56/6.14 tff(13458,plain,
% 8.56/6.14 (v104(constB44)),
% 8.56/6.14 inference(unit_resolution,[status(thm)],[13457, 13456, 7789])).
% 8.56/6.14 tff(13459,plain,
% 8.56/6.14 ((~((~v104(constB44)) | (~v95(constB44)))) | (~v104(constB44)) | (~v95(constB44))),
% 8.56/6.14 inference(tautology,[status(thm)],[])).
% 8.56/6.14 tff(13460,plain,
% 8.56/6.14 (~((~v104(constB44)) | (~v95(constB44)))),
% 8.56/6.14 inference(unit_resolution,[status(thm)],[13459, 13458, 7785])).
% 8.56/6.14 tff(13461,plain,
% 8.56/6.14 ((~(v94(constB44) <=> (~((~v104(constB44)) | (~v95(constB44)))))) | v94(constB44) | ((~v104(constB44)) | (~v95(constB44)))),
% 8.56/6.14 inference(tautology,[status(thm)],[])).
% 8.56/6.14 tff(13462,plain,
% 8.56/6.14 (v94(constB44)),
% 8.56/6.14 inference(unit_resolution,[status(thm)],[13461, 13460, 7754])).
% 8.56/6.14 tff(13463,plain,
% 8.56/6.14 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB44)) | ![B: $i] : ((~less_3(B)) | (v84(constB44, B) <=> v123(constB44, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB44)) | ![B: $i] : ((~less_3(B)) | (v84(constB44, B) <=> v123(constB44, B))))),
% 8.56/6.14 inference(rewrite,[status(thm)],[])).
% 8.56/6.14 tff(13464,plain,
% 8.56/6.14 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB44)) | ![B: $i] : ((~less_3(B)) | (v84(constB44, B) <=> v123(constB44, B))))),
% 8.56/6.14 inference(quant_inst,[status(thm)],[])).
% 8.56/6.14 tff(13465,plain,
% 8.56/6.14 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB44)) | ![B: $i] : ((~less_3(B)) | (v84(constB44, B) <=> v123(constB44, B)))),
% 8.56/6.14 inference(modus_ponens,[status(thm)],[13464, 13463])).
% 8.56/6.14 tff(13466,plain,
% 8.56/6.14 ((~v94(constB44)) | ![B: $i] : ((~less_3(B)) | (v84(constB44, B) <=> v123(constB44, B)))),
% 8.56/6.14 inference(unit_resolution,[status(thm)],[13465, 9902])).
% 8.56/6.14 tff(13467,plain,
% 8.56/6.14 (![B: $i] : ((~less_3(B)) | (v84(constB44, B) <=> v123(constB44, B)))),
% 8.56/6.14 inference(unit_resolution,[status(thm)],[13466, 13462])).
% 8.56/6.14 tff(13468,plain,
% 8.56/6.14 (((~![B: $i] : ((~less_3(B)) | (v84(constB44, B) <=> v123(constB44, B)))) | ((~less_3(bitIndex2)) | (v84(constB44, bitIndex2) <=> v123(constB44, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB44, B) <=> v123(constB44, B)))) | (~less_3(bitIndex2)) | (v84(constB44, bitIndex2) <=> v123(constB44, bitIndex2)))),
% 8.56/6.14 inference(rewrite,[status(thm)],[])).
% 8.56/6.14 tff(13469,plain,
% 8.56/6.14 ((~![B: $i] : ((~less_3(B)) | (v84(constB44, B) <=> v123(constB44, B)))) | ((~less_3(bitIndex2)) | (v84(constB44, bitIndex2) <=> v123(constB44, bitIndex2)))),
% 8.56/6.14 inference(quant_inst,[status(thm)],[])).
% 8.56/6.14 tff(13470,plain,
% 8.56/6.14 ((~![B: $i] : ((~less_3(B)) | (v84(constB44, B) <=> v123(constB44, B)))) | (~less_3(bitIndex2)) | (v84(constB44, bitIndex2) <=> v123(constB44, bitIndex2))),
% 8.56/6.14 inference(modus_ponens,[status(thm)],[13469, 13468])).
% 8.56/6.14 tff(13471,plain,
% 8.56/6.14 (v84(constB44, bitIndex2) <=> v123(constB44, bitIndex2)),
% 8.56/6.14 inference(unit_resolution,[status(thm)],[13470, 832, 13467])).
% 8.56/6.14 tff(13472,plain,
% 8.56/6.14 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB43, constB44)) | ![B: $i] : ((~less_3(B)) | (v123(constB44, B) <=> v121(constB43, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB43, constB44)) | ![B: $i] : ((~less_3(B)) | (v123(constB44, B) <=> v121(constB43, B))))),
% 8.56/6.14 inference(rewrite,[status(thm)],[])).
% 8.56/6.14 tff(13473,plain,
% 8.56/6.14 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB43, constB44)) | ![B: $i] : ((~less_3(B)) | (v123(constB44, B) <=> v121(constB43, B))))),
% 8.56/6.14 inference(quant_inst,[status(thm)],[])).
% 8.56/6.14 tff(13474,plain,
% 8.56/6.14 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB43, constB44)) | ![B: $i] : ((~less_3(B)) | (v123(constB44, B) <=> v121(constB43, B)))),
% 8.56/6.14 inference(modus_ponens,[status(thm)],[13473, 13472])).
% 8.56/6.14 tff(13475,plain,
% 8.56/6.14 (![B: $i] : ((~less_3(B)) | (v123(constB44, B) <=> v121(constB43, B)))),
% 8.56/6.14 inference(unit_resolution,[status(thm)],[13474, 7750, 9924])).
% 8.56/6.14 tff(13476,plain,
% 8.56/6.14 (((~![B: $i] : ((~less_3(B)) | (v123(constB44, B) <=> v121(constB43, B)))) | ((~less_3(bitIndex2)) | (v123(constB44, bitIndex2) <=> v121(constB43, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB44, B) <=> v121(constB43, B)))) | (~less_3(bitIndex2)) | (v123(constB44, bitIndex2) <=> v121(constB43, bitIndex2)))),
% 8.56/6.14 inference(rewrite,[status(thm)],[])).
% 8.56/6.14 tff(13477,plain,
% 8.56/6.14 ((~![B: $i] : ((~less_3(B)) | (v123(constB44, B) <=> v121(constB43, B)))) | ((~less_3(bitIndex2)) | (v123(constB44, bitIndex2) <=> v121(constB43, bitIndex2)))),
% 8.56/6.14 inference(quant_inst,[status(thm)],[])).
% 8.56/6.14 tff(13478,plain,
% 8.56/6.14 ((~![B: $i] : ((~less_3(B)) | (v123(constB44, B) <=> v121(constB43, B)))) | (~less_3(bitIndex2)) | (v123(constB44, bitIndex2) <=> v121(constB43, bitIndex2))),
% 8.56/6.14 inference(modus_ponens,[status(thm)],[13477, 13476])).
% 8.56/6.14 tff(13479,plain,
% 8.56/6.14 (v123(constB44, bitIndex2) <=> v121(constB43, bitIndex2)),
% 8.56/6.14 inference(unit_resolution,[status(thm)],[13478, 832, 13475])).
% 8.56/6.14 tff(13480,plain,
% 8.56/6.14 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB43) | ![B: $i] : ((~less_3(B)) | (v121(constB43, B) <=> v124(constB43, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB43) | ![B: $i] : ((~less_3(B)) | (v121(constB43, B) <=> v124(constB43, B))))),
% 8.56/6.14 inference(rewrite,[status(thm)],[])).
% 8.56/6.14 tff(13481,plain,
% 8.56/6.14 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB43) | ![B: $i] : ((~less_3(B)) | (v121(constB43, B) <=> v124(constB43, B))))),
% 8.56/6.14 inference(quant_inst,[status(thm)],[])).
% 8.56/6.14 tff(13482,plain,
% 8.56/6.14 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB43) | ![B: $i] : ((~less_3(B)) | (v121(constB43, B) <=> v124(constB43, B)))),
% 8.56/6.14 inference(modus_ponens,[status(thm)],[13481, 13480])).
% 8.56/6.14 tff(13483,plain,
% 8.56/6.14 (![B: $i] : ((~less_3(B)) | (v121(constB43, B) <=> v124(constB43, B)))),
% 8.56/6.14 inference(unit_resolution,[status(thm)],[13482, 9945, 13444])).
% 8.56/6.14 tff(13484,plain,
% 8.56/6.14 (((~![B: $i] : ((~less_3(B)) | (v121(constB43, B) <=> v124(constB43, B)))) | ((~less_3(bitIndex2)) | (v121(constB43, bitIndex2) <=> v124(constB43, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB43, B) <=> v124(constB43, B)))) | (~less_3(bitIndex2)) | (v121(constB43, bitIndex2) <=> v124(constB43, bitIndex2)))),
% 8.56/6.14 inference(rewrite,[status(thm)],[])).
% 8.56/6.14 tff(13485,plain,
% 8.56/6.14 ((~![B: $i] : ((~less_3(B)) | (v121(constB43, B) <=> v124(constB43, B)))) | ((~less_3(bitIndex2)) | (v121(constB43, bitIndex2) <=> v124(constB43, bitIndex2)))),
% 8.56/6.14 inference(quant_inst,[status(thm)],[])).
% 8.56/6.14 tff(13486,plain,
% 8.56/6.14 ((~![B: $i] : ((~less_3(B)) | (v121(constB43, B) <=> v124(constB43, B)))) | (~less_3(bitIndex2)) | (v121(constB43, bitIndex2) <=> v124(constB43, bitIndex2))),
% 8.56/6.14 inference(modus_ponens,[status(thm)],[13485, 13484])).
% 8.56/6.14 tff(13487,plain,
% 8.56/6.14 (v121(constB43, bitIndex2) <=> v124(constB43, bitIndex2)),
% 8.56/6.14 inference(unit_resolution,[status(thm)],[13486, 832, 13483])).
% 8.56/6.14 tff(13488,plain,
% 8.56/6.14 (((~![VarCurr: $i] : ((~v116(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b100(B))))) | ((~v116(constB43)) | ![B: $i] : ((~less_3(B)) | (v124(constB43, B) <=> b100(B))))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b100(B))))) | (~v116(constB43)) | ![B: $i] : ((~less_3(B)) | (v124(constB43, B) <=> b100(B))))),
% 8.56/6.14 inference(rewrite,[status(thm)],[])).
% 8.56/6.14 tff(13489,plain,
% 8.56/6.14 ((~![VarCurr: $i] : ((~v116(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b100(B))))) | ((~v116(constB43)) | ![B: $i] : ((~less_3(B)) | (v124(constB43, B) <=> b100(B))))),
% 8.56/6.14 inference(quant_inst,[status(thm)],[])).
% 8.56/6.14 tff(13490,plain,
% 8.56/6.14 ((~![VarCurr: $i] : ((~v116(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b100(B))))) | (~v116(constB43)) | ![B: $i] : ((~less_3(B)) | (v124(constB43, B) <=> b100(B)))),
% 8.56/6.14 inference(modus_ponens,[status(thm)],[13489, 13488])).
% 8.56/6.14 tff(13491,plain,
% 8.56/6.14 ((~v116(constB43)) | ![B: $i] : ((~less_3(B)) | (v124(constB43, B) <=> b100(B)))),
% 8.56/6.14 inference(unit_resolution,[status(thm)],[13490, 10505])).
% 8.56/6.14 tff(13492,plain,
% 8.56/6.14 (![B: $i] : ((~less_3(B)) | (v124(constB43, B) <=> b100(B)))),
% 8.56/6.14 inference(unit_resolution,[status(thm)],[13491, 13419])).
% 8.56/6.14 tff(13493,plain,
% 8.56/6.14 (((~![B: $i] : ((~less_3(B)) | (v124(constB43, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v124(constB43, bitIndex2) <=> b100(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB43, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v124(constB43, bitIndex2) <=> b100(bitIndex2)))),
% 8.56/6.14 inference(rewrite,[status(thm)],[])).
% 8.56/6.14 tff(13494,plain,
% 8.56/6.14 ((~![B: $i] : ((~less_3(B)) | (v124(constB43, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v124(constB43, bitIndex2) <=> b100(bitIndex2)))),
% 8.56/6.14 inference(quant_inst,[status(thm)],[])).
% 8.56/6.14 tff(13495,plain,
% 8.56/6.14 ((~![B: $i] : ((~less_3(B)) | (v124(constB43, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v124(constB43, bitIndex2) <=> b100(bitIndex2))),
% 8.56/6.14 inference(modus_ponens,[status(thm)],[13494, 13493])).
% 8.56/6.14 tff(13496,plain,
% 8.56/6.14 (v124(constB43, bitIndex2) <=> b100(bitIndex2)),
% 8.56/6.14 inference(unit_resolution,[status(thm)],[13495, 832, 13492])).
% 8.56/6.14 tff(13497,plain,
% 8.56/6.14 ((~(v124(constB43, bitIndex2) <=> b100(bitIndex2))) | v124(constB43, bitIndex2) | (~b100(bitIndex2))),
% 8.56/6.14 inference(tautology,[status(thm)],[])).
% 8.56/6.14 tff(13498,plain,
% 8.56/6.14 ((~(v124(constB43, bitIndex2) <=> b100(bitIndex2))) | v124(constB43, bitIndex2)),
% 8.56/6.14 inference(unit_resolution,[status(thm)],[13497, 10517])).
% 8.56/6.14 tff(13499,plain,
% 8.56/6.14 (v124(constB43, bitIndex2)),
% 8.56/6.14 inference(unit_resolution,[status(thm)],[13498, 13496])).
% 8.56/6.14 tff(13500,plain,
% 8.56/6.14 ((~(v121(constB43, bitIndex2) <=> v124(constB43, bitIndex2))) | v121(constB43, bitIndex2) | (~v124(constB43, bitIndex2))),
% 8.56/6.14 inference(tautology,[status(thm)],[])).
% 8.56/6.14 tff(13501,plain,
% 8.56/6.14 (v121(constB43, bitIndex2)),
% 8.56/6.14 inference(unit_resolution,[status(thm)],[13500, 13499, 13487])).
% 8.56/6.14 tff(13502,plain,
% 8.56/6.14 ((~(v123(constB44, bitIndex2) <=> v121(constB43, bitIndex2))) | v123(constB44, bitIndex2) | (~v121(constB43, bitIndex2))),
% 8.56/6.14 inference(tautology,[status(thm)],[])).
% 8.56/6.14 tff(13503,plain,
% 8.56/6.14 (v123(constB44, bitIndex2)),
% 8.56/6.14 inference(unit_resolution,[status(thm)],[13502, 13501, 13479])).
% 8.56/6.14 tff(13504,plain,
% 8.56/6.14 ((~(v84(constB44, bitIndex2) <=> v123(constB44, bitIndex2))) | v84(constB44, bitIndex2) | (~v123(constB44, bitIndex2))),
% 8.56/6.14 inference(tautology,[status(thm)],[])).
% 8.56/6.14 tff(13505,plain,
% 8.56/6.14 (v84(constB44, bitIndex2)),
% 8.56/6.14 inference(unit_resolution,[status(thm)],[13504, 13503, 13471])).
% 8.56/6.14 tff(13506,plain,
% 8.56/6.14 ((~(v84(constB45, bitIndex2) <=> v84(constB44, bitIndex2))) | v84(constB45, bitIndex2) | (~v84(constB44, bitIndex2))),
% 8.56/6.14 inference(tautology,[status(thm)],[])).
% 8.56/6.14 tff(13507,plain,
% 8.56/6.14 (v84(constB45, bitIndex2)),
% 8.56/6.14 inference(unit_resolution,[status(thm)],[13506, 13505, 7747])).
% 8.56/6.14 tff(13508,plain,
% 8.56/6.14 (((~![B: $i] : ((~less_3(B)) | (v84(constB45, B) <=> v84(constB44, B)))) | ((~less_3(bitIndex0)) | (v84(constB45, bitIndex0) <=> v84(constB44, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB45, B) <=> v84(constB44, B)))) | (~less_3(bitIndex0)) | (v84(constB45, bitIndex0) <=> v84(constB44, bitIndex0)))),
% 8.56/6.14 inference(rewrite,[status(thm)],[])).
% 8.56/6.14 tff(13509,plain,
% 8.56/6.14 ((~![B: $i] : ((~less_3(B)) | (v84(constB45, B) <=> v84(constB44, B)))) | ((~less_3(bitIndex0)) | (v84(constB45, bitIndex0) <=> v84(constB44, bitIndex0)))),
% 8.56/6.14 inference(quant_inst,[status(thm)],[])).
% 8.56/6.14 tff(13510,plain,
% 8.56/6.14 ((~![B: $i] : ((~less_3(B)) | (v84(constB45, B) <=> v84(constB44, B)))) | (~less_3(bitIndex0)) | (v84(constB45, bitIndex0) <=> v84(constB44, bitIndex0))),
% 8.56/6.14 inference(modus_ponens,[status(thm)],[13509, 13508])).
% 8.56/6.14 tff(13511,plain,
% 8.56/6.14 (v84(constB45, bitIndex0) <=> v84(constB44, bitIndex0)),
% 8.56/6.14 inference(unit_resolution,[status(thm)],[13510, 9772, 7743])).
% 8.56/6.14 tff(13512,plain,
% 8.56/6.14 (((~![B: $i] : ((~less_3(B)) | (v84(constB44, B) <=> v123(constB44, B)))) | ((~less_3(bitIndex0)) | (v84(constB44, bitIndex0) <=> v123(constB44, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB44, B) <=> v123(constB44, B)))) | (~less_3(bitIndex0)) | (v84(constB44, bitIndex0) <=> v123(constB44, bitIndex0)))),
% 8.56/6.14 inference(rewrite,[status(thm)],[])).
% 8.56/6.14 tff(13513,plain,
% 8.56/6.14 ((~![B: $i] : ((~less_3(B)) | (v84(constB44, B) <=> v123(constB44, B)))) | ((~less_3(bitIndex0)) | (v84(constB44, bitIndex0) <=> v123(constB44, bitIndex0)))),
% 8.56/6.14 inference(quant_inst,[status(thm)],[])).
% 8.56/6.14 tff(13514,plain,
% 8.56/6.14 ((~![B: $i] : ((~less_3(B)) | (v84(constB44, B) <=> v123(constB44, B)))) | (~less_3(bitIndex0)) | (v84(constB44, bitIndex0) <=> v123(constB44, bitIndex0))),
% 8.56/6.14 inference(modus_ponens,[status(thm)],[13513, 13512])).
% 8.56/6.14 tff(13515,plain,
% 8.56/6.14 (v84(constB44, bitIndex0) <=> v123(constB44, bitIndex0)),
% 8.56/6.14 inference(unit_resolution,[status(thm)],[13514, 9772, 13467])).
% 8.56/6.14 tff(13516,plain,
% 8.56/6.14 (((~![B: $i] : ((~less_3(B)) | (v123(constB44, B) <=> v121(constB43, B)))) | ((~less_3(bitIndex0)) | (v123(constB44, bitIndex0) <=> v121(constB43, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB44, B) <=> v121(constB43, B)))) | (~less_3(bitIndex0)) | (v123(constB44, bitIndex0) <=> v121(constB43, bitIndex0)))),
% 8.56/6.14 inference(rewrite,[status(thm)],[])).
% 8.56/6.14 tff(13517,plain,
% 8.56/6.14 ((~![B: $i] : ((~less_3(B)) | (v123(constB44, B) <=> v121(constB43, B)))) | ((~less_3(bitIndex0)) | (v123(constB44, bitIndex0) <=> v121(constB43, bitIndex0)))),
% 8.56/6.14 inference(quant_inst,[status(thm)],[])).
% 8.56/6.14 tff(13518,plain,
% 8.56/6.14 ((~![B: $i] : ((~less_3(B)) | (v123(constB44, B) <=> v121(constB43, B)))) | (~less_3(bitIndex0)) | (v123(constB44, bitIndex0) <=> v121(constB43, bitIndex0))),
% 8.56/6.14 inference(modus_ponens,[status(thm)],[13517, 13516])).
% 8.56/6.14 tff(13519,plain,
% 8.56/6.14 (v123(constB44, bitIndex0) <=> v121(constB43, bitIndex0)),
% 8.56/6.14 inference(unit_resolution,[status(thm)],[13518, 9772, 13475])).
% 8.56/6.14 tff(13520,plain,
% 8.56/6.14 (((~![B: $i] : ((~less_3(B)) | (v121(constB43, B) <=> v124(constB43, B)))) | ((~less_3(bitIndex0)) | (v121(constB43, bitIndex0) <=> v124(constB43, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB43, B) <=> v124(constB43, B)))) | (~less_3(bitIndex0)) | (v121(constB43, bitIndex0) <=> v124(constB43, bitIndex0)))),
% 8.56/6.14 inference(rewrite,[status(thm)],[])).
% 8.56/6.14 tff(13521,plain,
% 8.56/6.14 ((~![B: $i] : ((~less_3(B)) | (v121(constB43, B) <=> v124(constB43, B)))) | ((~less_3(bitIndex0)) | (v121(constB43, bitIndex0) <=> v124(constB43, bitIndex0)))),
% 8.56/6.14 inference(quant_inst,[status(thm)],[])).
% 8.56/6.14 tff(13522,plain,
% 8.56/6.14 ((~![B: $i] : ((~less_3(B)) | (v121(constB43, B) <=> v124(constB43, B)))) | (~less_3(bitIndex0)) | (v121(constB43, bitIndex0) <=> v124(constB43, bitIndex0))),
% 8.56/6.14 inference(modus_ponens,[status(thm)],[13521, 13520])).
% 8.56/6.14 tff(13523,plain,
% 8.56/6.14 (v121(constB43, bitIndex0) <=> v124(constB43, bitIndex0)),
% 8.56/6.14 inference(unit_resolution,[status(thm)],[13522, 9772, 13483])).
% 8.56/6.14 tff(13524,plain,
% 8.56/6.14 (((~![B: $i] : ((~less_3(B)) | (v124(constB43, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v124(constB43, bitIndex0) <=> b100(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB43, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v124(constB43, bitIndex0) <=> b100(bitIndex0)))),
% 8.56/6.14 inference(rewrite,[status(thm)],[])).
% 8.56/6.14 tff(13525,plain,
% 8.56/6.14 ((~![B: $i] : ((~less_3(B)) | (v124(constB43, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v124(constB43, bitIndex0) <=> b100(bitIndex0)))),
% 8.56/6.14 inference(quant_inst,[status(thm)],[])).
% 8.56/6.14 tff(13526,plain,
% 8.56/6.14 ((~![B: $i] : ((~less_3(B)) | (v124(constB43, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v124(constB43, bitIndex0) <=> b100(bitIndex0))),
% 8.56/6.14 inference(modus_ponens,[status(thm)],[13525, 13524])).
% 8.56/6.14 tff(13527,plain,
% 8.56/6.14 (v124(constB43, bitIndex0) <=> b100(bitIndex0)),
% 8.56/6.14 inference(unit_resolution,[status(thm)],[13526, 9772, 13492])).
% 8.56/6.14 tff(13528,plain,
% 8.56/6.14 ((~(v124(constB43, bitIndex0) <=> b100(bitIndex0))) | (~v124(constB43, bitIndex0)) | b100(bitIndex0)),
% 8.56/6.14 inference(tautology,[status(thm)],[])).
% 8.56/6.14 tff(13529,plain,
% 8.56/6.14 ((~(v124(constB43, bitIndex0) <=> b100(bitIndex0))) | (~v124(constB43, bitIndex0))),
% 8.56/6.14 inference(unit_resolution,[status(thm)],[13528, 10551])).
% 8.56/6.14 tff(13530,plain,
% 8.56/6.14 (~v124(constB43, bitIndex0)),
% 8.56/6.14 inference(unit_resolution,[status(thm)],[13529, 13527])).
% 8.56/6.14 tff(13531,plain,
% 8.56/6.14 ((~(v121(constB43, bitIndex0) <=> v124(constB43, bitIndex0))) | (~v121(constB43, bitIndex0)) | v124(constB43, bitIndex0)),
% 8.56/6.14 inference(tautology,[status(thm)],[])).
% 8.56/6.14 tff(13532,plain,
% 8.56/6.14 (~v121(constB43, bitIndex0)),
% 8.56/6.14 inference(unit_resolution,[status(thm)],[13531, 13530, 13523])).
% 8.56/6.14 tff(13533,plain,
% 8.56/6.14 ((~(v123(constB44, bitIndex0) <=> v121(constB43, bitIndex0))) | (~v123(constB44, bitIndex0)) | v121(constB43, bitIndex0)),
% 8.56/6.14 inference(tautology,[status(thm)],[])).
% 8.56/6.14 tff(13534,plain,
% 8.56/6.14 (~v123(constB44, bitIndex0)),
% 8.56/6.14 inference(unit_resolution,[status(thm)],[13533, 13532, 13519])).
% 8.56/6.14 tff(13535,plain,
% 8.56/6.14 ((~(v84(constB44, bitIndex0) <=> v123(constB44, bitIndex0))) | (~v84(constB44, bitIndex0)) | v123(constB44, bitIndex0)),
% 8.56/6.14 inference(tautology,[status(thm)],[])).
% 8.56/6.14 tff(13536,plain,
% 8.56/6.14 (~v84(constB44, bitIndex0)),
% 8.56/6.14 inference(unit_resolution,[status(thm)],[13535, 13534, 13515])).
% 8.56/6.14 tff(13537,plain,
% 8.56/6.14 ((~(v84(constB45, bitIndex0) <=> v84(constB44, bitIndex0))) | (~v84(constB45, bitIndex0)) | v84(constB44, bitIndex0)),
% 8.56/6.14 inference(tautology,[status(thm)],[])).
% 8.56/6.14 tff(13538,plain,
% 8.56/6.14 (~v84(constB45, bitIndex0)),
% 8.56/6.14 inference(unit_resolution,[status(thm)],[13537, 13536, 13511])).
% 8.56/6.14 tff(13539,plain,
% 8.56/6.14 (((~![B: $i] : ((~less_3(B)) | (v84(constB45, B) <=> v84(constB44, B)))) | ((~less_3(bitIndex1)) | (v84(constB45, bitIndex1) <=> v84(constB44, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB45, B) <=> v84(constB44, B)))) | (~less_3(bitIndex1)) | (v84(constB45, bitIndex1) <=> v84(constB44, bitIndex1)))),
% 8.56/6.14 inference(rewrite,[status(thm)],[])).
% 8.56/6.14 tff(13540,plain,
% 8.56/6.14 ((~![B: $i] : ((~less_3(B)) | (v84(constB45, B) <=> v84(constB44, B)))) | ((~less_3(bitIndex1)) | (v84(constB45, bitIndex1) <=> v84(constB44, bitIndex1)))),
% 8.56/6.14 inference(quant_inst,[status(thm)],[])).
% 8.56/6.14 tff(13541,plain,
% 8.56/6.14 ((~![B: $i] : ((~less_3(B)) | (v84(constB45, B) <=> v84(constB44, B)))) | (~less_3(bitIndex1)) | (v84(constB45, bitIndex1) <=> v84(constB44, bitIndex1))),
% 8.56/6.14 inference(modus_ponens,[status(thm)],[13540, 13539])).
% 8.56/6.14 tff(13542,plain,
% 8.56/6.14 (v84(constB45, bitIndex1) <=> v84(constB44, bitIndex1)),
% 8.56/6.14 inference(unit_resolution,[status(thm)],[13541, 9785, 7743])).
% 8.56/6.14 tff(13543,plain,
% 8.56/6.14 (((~![B: $i] : ((~less_3(B)) | (v84(constB44, B) <=> v123(constB44, B)))) | ((~less_3(bitIndex1)) | (v84(constB44, bitIndex1) <=> v123(constB44, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB44, B) <=> v123(constB44, B)))) | (~less_3(bitIndex1)) | (v84(constB44, bitIndex1) <=> v123(constB44, bitIndex1)))),
% 8.56/6.14 inference(rewrite,[status(thm)],[])).
% 8.56/6.14 tff(13544,plain,
% 8.56/6.14 ((~![B: $i] : ((~less_3(B)) | (v84(constB44, B) <=> v123(constB44, B)))) | ((~less_3(bitIndex1)) | (v84(constB44, bitIndex1) <=> v123(constB44, bitIndex1)))),
% 8.56/6.14 inference(quant_inst,[status(thm)],[])).
% 8.56/6.14 tff(13545,plain,
% 8.56/6.14 ((~![B: $i] : ((~less_3(B)) | (v84(constB44, B) <=> v123(constB44, B)))) | (~less_3(bitIndex1)) | (v84(constB44, bitIndex1) <=> v123(constB44, bitIndex1))),
% 8.56/6.14 inference(modus_ponens,[status(thm)],[13544, 13543])).
% 8.56/6.14 tff(13546,plain,
% 8.56/6.14 (v84(constB44, bitIndex1) <=> v123(constB44, bitIndex1)),
% 8.56/6.14 inference(unit_resolution,[status(thm)],[13545, 9785, 13467])).
% 8.56/6.14 tff(13547,plain,
% 8.56/6.14 (((~![B: $i] : ((~less_3(B)) | (v123(constB44, B) <=> v121(constB43, B)))) | ((~less_3(bitIndex1)) | (v123(constB44, bitIndex1) <=> v121(constB43, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB44, B) <=> v121(constB43, B)))) | (~less_3(bitIndex1)) | (v123(constB44, bitIndex1) <=> v121(constB43, bitIndex1)))),
% 8.56/6.14 inference(rewrite,[status(thm)],[])).
% 8.56/6.14 tff(13548,plain,
% 8.56/6.14 ((~![B: $i] : ((~less_3(B)) | (v123(constB44, B) <=> v121(constB43, B)))) | ((~less_3(bitIndex1)) | (v123(constB44, bitIndex1) <=> v121(constB43, bitIndex1)))),
% 8.56/6.14 inference(quant_inst,[status(thm)],[])).
% 8.56/6.14 tff(13549,plain,
% 8.56/6.14 ((~![B: $i] : ((~less_3(B)) | (v123(constB44, B) <=> v121(constB43, B)))) | (~less_3(bitIndex1)) | (v123(constB44, bitIndex1) <=> v121(constB43, bitIndex1))),
% 8.56/6.14 inference(modus_ponens,[status(thm)],[13548, 13547])).
% 8.56/6.14 tff(13550,plain,
% 8.56/6.14 (v123(constB44, bitIndex1) <=> v121(constB43, bitIndex1)),
% 8.56/6.14 inference(unit_resolution,[status(thm)],[13549, 9785, 13475])).
% 8.56/6.14 tff(13551,plain,
% 8.56/6.14 (((~![B: $i] : ((~less_3(B)) | (v121(constB43, B) <=> v124(constB43, B)))) | ((~less_3(bitIndex1)) | (v121(constB43, bitIndex1) <=> v124(constB43, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB43, B) <=> v124(constB43, B)))) | (~less_3(bitIndex1)) | (v121(constB43, bitIndex1) <=> v124(constB43, bitIndex1)))),
% 8.56/6.14 inference(rewrite,[status(thm)],[])).
% 8.56/6.14 tff(13552,plain,
% 8.56/6.14 ((~![B: $i] : ((~less_3(B)) | (v121(constB43, B) <=> v124(constB43, B)))) | ((~less_3(bitIndex1)) | (v121(constB43, bitIndex1) <=> v124(constB43, bitIndex1)))),
% 8.56/6.14 inference(quant_inst,[status(thm)],[])).
% 8.56/6.14 tff(13553,plain,
% 8.56/6.14 ((~![B: $i] : ((~less_3(B)) | (v121(constB43, B) <=> v124(constB43, B)))) | (~less_3(bitIndex1)) | (v121(constB43, bitIndex1) <=> v124(constB43, bitIndex1))),
% 8.56/6.14 inference(modus_ponens,[status(thm)],[13552, 13551])).
% 8.56/6.14 tff(13554,plain,
% 8.56/6.14 (v121(constB43, bitIndex1) <=> v124(constB43, bitIndex1)),
% 8.56/6.14 inference(unit_resolution,[status(thm)],[13553, 9785, 13483])).
% 8.56/6.14 tff(13555,plain,
% 8.56/6.14 (((~![B: $i] : ((~less_3(B)) | (v124(constB43, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v124(constB43, bitIndex1) <=> b100(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB43, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v124(constB43, bitIndex1) <=> b100(bitIndex1)))),
% 8.56/6.14 inference(rewrite,[status(thm)],[])).
% 8.56/6.14 tff(13556,plain,
% 8.56/6.14 ((~![B: $i] : ((~less_3(B)) | (v124(constB43, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v124(constB43, bitIndex1) <=> b100(bitIndex1)))),
% 8.56/6.14 inference(quant_inst,[status(thm)],[])).
% 8.56/6.14 tff(13557,plain,
% 8.56/6.14 ((~![B: $i] : ((~less_3(B)) | (v124(constB43, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v124(constB43, bitIndex1) <=> b100(bitIndex1))),
% 8.56/6.14 inference(modus_ponens,[status(thm)],[13556, 13555])).
% 8.56/6.14 tff(13558,plain,
% 8.56/6.14 (v124(constB43, bitIndex1) <=> b100(bitIndex1)),
% 8.56/6.14 inference(unit_resolution,[status(thm)],[13557, 9785, 13492])).
% 8.56/6.14 tff(13559,plain,
% 8.56/6.14 ((~(v124(constB43, bitIndex1) <=> b100(bitIndex1))) | (~v124(constB43, bitIndex1)) | b100(bitIndex1)),
% 8.56/6.14 inference(tautology,[status(thm)],[])).
% 8.56/6.14 tff(13560,plain,
% 8.56/6.14 ((~(v124(constB43, bitIndex1) <=> b100(bitIndex1))) | (~v124(constB43, bitIndex1))),
% 8.56/6.14 inference(unit_resolution,[status(thm)],[13559, 10585])).
% 8.56/6.14 tff(13561,plain,
% 8.56/6.14 (~v124(constB43, bitIndex1)),
% 8.56/6.14 inference(unit_resolution,[status(thm)],[13560, 13558])).
% 8.56/6.14 tff(13562,plain,
% 8.56/6.14 ((~(v121(constB43, bitIndex1) <=> v124(constB43, bitIndex1))) | (~v121(constB43, bitIndex1)) | v124(constB43, bitIndex1)),
% 8.56/6.14 inference(tautology,[status(thm)],[])).
% 8.56/6.14 tff(13563,plain,
% 8.56/6.14 (~v121(constB43, bitIndex1)),
% 8.56/6.14 inference(unit_resolution,[status(thm)],[13562, 13561, 13554])).
% 8.56/6.14 tff(13564,plain,
% 8.56/6.14 ((~(v123(constB44, bitIndex1) <=> v121(constB43, bitIndex1))) | (~v123(constB44, bitIndex1)) | v121(constB43, bitIndex1)),
% 8.56/6.14 inference(tautology,[status(thm)],[])).
% 8.56/6.14 tff(13565,plain,
% 8.56/6.14 (~v123(constB44, bitIndex1)),
% 8.56/6.14 inference(unit_resolution,[status(thm)],[13564, 13563, 13550])).
% 8.56/6.14 tff(13566,plain,
% 8.56/6.14 ((~(v84(constB44, bitIndex1) <=> v123(constB44, bitIndex1))) | (~v84(constB44, bitIndex1)) | v123(constB44, bitIndex1)),
% 8.56/6.14 inference(tautology,[status(thm)],[])).
% 8.56/6.14 tff(13567,plain,
% 8.56/6.14 (~v84(constB44, bitIndex1)),
% 8.56/6.14 inference(unit_resolution,[status(thm)],[13566, 13565, 13546])).
% 8.56/6.14 tff(13568,plain,
% 8.56/6.14 ((~(v84(constB45, bitIndex1) <=> v84(constB44, bitIndex1))) | (~v84(constB45, bitIndex1)) | v84(constB44, bitIndex1)),
% 8.56/6.14 inference(tautology,[status(thm)],[])).
% 8.56/6.14 tff(13569,plain,
% 8.56/6.14 (~v84(constB45, bitIndex1)),
% 8.56/6.14 inference(unit_resolution,[status(thm)],[13568, 13567, 13542])).
% 8.56/6.14 tff(13570,plain,
% 8.56/6.14 ((~((~v84(constB45, bitIndex2)) | v84(constB45, bitIndex1) | v84(constB45, bitIndex0))) | (~v84(constB45, bitIndex2)) | v84(constB45, bitIndex1) | v84(constB45, bitIndex0)),
% 8.56/6.14 inference(tautology,[status(thm)],[])).
% 8.56/6.14 tff(13571,plain,
% 8.56/6.14 (~((~v84(constB45, bitIndex2)) | v84(constB45, bitIndex1) | v84(constB45, bitIndex0))),
% 8.56/6.14 inference(unit_resolution,[status(thm)],[13570, 13569, 13538, 13507])).
% 8.56/6.14 tff(13572,plain,
% 8.56/6.14 ((~(v117(constB45) <=> (~((~v84(constB45, bitIndex2)) | v84(constB45, bitIndex1) | v84(constB45, bitIndex0))))) | v117(constB45) | ((~v84(constB45, bitIndex2)) | v84(constB45, bitIndex1) | v84(constB45, bitIndex0))),
% 8.56/6.14 inference(tautology,[status(thm)],[])).
% 8.56/6.14 tff(13573,plain,
% 8.56/6.14 (v117(constB45)),
% 8.56/6.14 inference(unit_resolution,[status(thm)],[13572, 13571, 7715])).
% 8.56/6.14 tff(13574,plain,
% 8.56/6.14 ((v110(constB45) | v117(constB45)) | (~v117(constB45))),
% 8.56/6.14 inference(tautology,[status(thm)],[])).
% 8.56/6.14 tff(13575,plain,
% 8.56/6.14 (v110(constB45) | v117(constB45)),
% 8.56/6.14 inference(unit_resolution,[status(thm)],[13574, 13573])).
% 8.56/6.14 tff(13576,plain,
% 8.56/6.14 ((~(v109(constB45) <=> (v110(constB45) | v117(constB45)))) | v109(constB45) | (~(v110(constB45) | v117(constB45)))),
% 8.56/6.14 inference(tautology,[status(thm)],[])).
% 8.56/6.14 tff(13577,plain,
% 8.56/6.14 (v109(constB45)),
% 8.56/6.14 inference(unit_resolution,[status(thm)],[13576, 13575, 7708])).
% 8.56/6.14 tff(13578,plain,
% 8.56/6.14 ((v109(constB45) | v118(constB45)) | (~v109(constB45))),
% 8.56/6.14 inference(tautology,[status(thm)],[])).
% 8.56/6.14 tff(13579,plain,
% 8.56/6.14 (v109(constB45) | v118(constB45)),
% 8.56/6.14 inference(unit_resolution,[status(thm)],[13578, 13577])).
% 8.56/6.14 tff(13580,plain,
% 8.56/6.14 ((~(v108(constB45) <=> (v109(constB45) | v118(constB45)))) | v108(constB45) | (~(v109(constB45) | v118(constB45)))),
% 8.56/6.14 inference(tautology,[status(thm)],[])).
% 8.56/6.14 tff(13581,plain,
% 8.56/6.14 (v108(constB45)),
% 8.56/6.14 inference(unit_resolution,[status(thm)],[13580, 13579, 7706])).
% 8.56/6.14 tff(13582,plain,
% 8.56/6.14 ((v108(constB45) | v119(constB45)) | (~v108(constB45))),
% 8.56/6.14 inference(tautology,[status(thm)],[])).
% 8.56/6.14 tff(13583,plain,
% 8.56/6.14 (v108(constB45) | v119(constB45)),
% 8.56/6.14 inference(unit_resolution,[status(thm)],[13582, 13581])).
% 8.56/6.14 tff(13584,plain,
% 8.56/6.14 ((~(v107(constB45) <=> (v108(constB45) | v119(constB45)))) | v107(constB45) | (~(v108(constB45) | v119(constB45)))),
% 8.56/6.14 inference(tautology,[status(thm)],[])).
% 8.56/6.14 tff(13585,plain,
% 8.56/6.14 (v107(constB45)),
% 8.56/6.14 inference(unit_resolution,[status(thm)],[13584, 13583, 7704])).
% 8.56/6.14 tff(13586,plain,
% 8.56/6.14 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB45)) <=> v105(constB45))),
% 8.56/6.14 inference(quant_inst,[status(thm)],[])).
% 8.56/6.14 tff(13587,plain,
% 8.56/6.14 ((~v120(constB45)) <=> v105(constB45)),
% 8.56/6.14 inference(unit_resolution,[status(thm)],[13586, 9842])).
% 8.56/6.14 tff(13588,plain,
% 8.56/6.14 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB45) <=> v26(constB45))),
% 8.56/6.14 inference(quant_inst,[status(thm)],[])).
% 8.56/6.14 tff(13589,plain,
% 8.56/6.14 (v105(constB45) <=> v26(constB45)),
% 8.56/6.14 inference(unit_resolution,[status(thm)],[13588, 9854])).
% 8.56/6.14 tff(13590,plain,
% 8.56/6.14 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB45))),
% 8.56/6.14 inference(quant_inst,[status(thm)],[])).
% 8.56/6.14 tff(13591,plain,
% 8.56/6.14 (~v26(constB45)),
% 8.56/6.14 inference(unit_resolution,[status(thm)],[13590, 9866])).
% 8.56/6.14 tff(13592,plain,
% 8.56/6.14 ((~(v105(constB45) <=> v26(constB45))) | (~v105(constB45)) | v26(constB45)),
% 8.56/6.14 inference(tautology,[status(thm)],[])).
% 8.56/6.14 tff(13593,plain,
% 8.56/6.14 ((~(v105(constB45) <=> v26(constB45))) | (~v105(constB45))),
% 8.56/6.14 inference(unit_resolution,[status(thm)],[13592, 13591])).
% 8.56/6.14 tff(13594,plain,
% 8.56/6.14 (~v105(constB45)),
% 8.56/6.14 inference(unit_resolution,[status(thm)],[13593, 13589])).
% 8.56/6.14 tff(13595,plain,
% 8.56/6.14 ((~((~v120(constB45)) <=> v105(constB45))) | v120(constB45) | v105(constB45)),
% 8.56/6.14 inference(tautology,[status(thm)],[])).
% 8.56/6.15 tff(13596,plain,
% 8.56/6.15 ((~((~v120(constB45)) <=> v105(constB45))) | v120(constB45)),
% 8.56/6.15 inference(unit_resolution,[status(thm)],[13595, 13594])).
% 8.56/6.15 tff(13597,plain,
% 8.56/6.15 (v120(constB45)),
% 8.56/6.15 inference(unit_resolution,[status(thm)],[13596, 13587])).
% 8.56/6.15 tff(13598,plain,
% 8.56/6.15 ((~((~v107(constB45)) | (~v120(constB45)))) | (~v107(constB45)) | (~v120(constB45))),
% 8.56/6.15 inference(tautology,[status(thm)],[])).
% 8.56/6.15 tff(13599,plain,
% 8.56/6.15 ((~((~v107(constB45)) | (~v120(constB45)))) | (~v107(constB45))),
% 8.56/6.15 inference(unit_resolution,[status(thm)],[13598, 13597])).
% 8.56/6.15 tff(13600,plain,
% 8.56/6.15 (~((~v107(constB45)) | (~v120(constB45)))),
% 8.56/6.15 inference(unit_resolution,[status(thm)],[13599, 13585])).
% 8.56/6.15 tff(13601,plain,
% 8.56/6.15 ((~(v106(constB45) <=> (~((~v107(constB45)) | (~v120(constB45)))))) | v106(constB45) | ((~v107(constB45)) | (~v120(constB45)))),
% 8.56/6.15 inference(tautology,[status(thm)],[])).
% 8.56/6.15 tff(13602,plain,
% 8.56/6.15 (v106(constB45)),
% 8.56/6.15 inference(unit_resolution,[status(thm)],[13601, 13600, 7702])).
% 8.56/6.15 tff(13603,plain,
% 8.56/6.15 ((v105(constB45) | v106(constB45)) | (~v106(constB45))),
% 8.56/6.15 inference(tautology,[status(thm)],[])).
% 8.56/6.15 tff(13604,plain,
% 8.56/6.15 (v105(constB45) | v106(constB45)),
% 8.56/6.15 inference(unit_resolution,[status(thm)],[13603, 13602])).
% 8.56/6.15 tff(13605,plain,
% 8.56/6.15 ((~(v102(constB45) <=> (v105(constB45) | v106(constB45)))) | v102(constB45) | (~(v105(constB45) | v106(constB45)))),
% 8.56/6.15 inference(tautology,[status(thm)],[])).
% 8.56/6.15 tff(13606,plain,
% 8.56/6.15 (v102(constB45)),
% 8.56/6.15 inference(unit_resolution,[status(thm)],[13605, 13604, 7700])).
% 8.56/6.15 tff(13607,plain,
% 8.56/6.15 ((~(v104(constB46) <=> v102(constB45))) | v104(constB46) | (~v102(constB45))),
% 8.56/6.15 inference(tautology,[status(thm)],[])).
% 8.56/6.15 tff(13608,plain,
% 8.56/6.15 (v104(constB46)),
% 8.56/6.15 inference(unit_resolution,[status(thm)],[13607, 13606, 7698])).
% 8.56/6.15 tff(13609,plain,
% 8.56/6.15 ((~((~v104(constB46)) | (~v95(constB46)))) | (~v104(constB46)) | (~v95(constB46))),
% 8.56/6.15 inference(tautology,[status(thm)],[])).
% 8.56/6.15 tff(13610,plain,
% 8.56/6.15 (~((~v104(constB46)) | (~v95(constB46)))),
% 8.56/6.15 inference(unit_resolution,[status(thm)],[13609, 13608, 7694])).
% 8.56/6.15 tff(13611,plain,
% 8.56/6.15 ((~(v94(constB46) <=> (~((~v104(constB46)) | (~v95(constB46)))))) | v94(constB46) | ((~v104(constB46)) | (~v95(constB46)))),
% 8.56/6.15 inference(tautology,[status(thm)],[])).
% 8.56/6.15 tff(13612,plain,
% 8.56/6.15 (v94(constB46)),
% 8.56/6.15 inference(unit_resolution,[status(thm)],[13611, 13610, 7663])).
% 8.56/6.15 tff(13613,plain,
% 8.56/6.15 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB46)) | ![B: $i] : ((~less_3(B)) | (v84(constB46, B) <=> v123(constB46, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB46)) | ![B: $i] : ((~less_3(B)) | (v84(constB46, B) <=> v123(constB46, B))))),
% 8.56/6.15 inference(rewrite,[status(thm)],[])).
% 8.56/6.15 tff(13614,plain,
% 8.56/6.15 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB46)) | ![B: $i] : ((~less_3(B)) | (v84(constB46, B) <=> v123(constB46, B))))),
% 8.56/6.15 inference(quant_inst,[status(thm)],[])).
% 8.56/6.15 tff(13615,plain,
% 8.56/6.15 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB46)) | ![B: $i] : ((~less_3(B)) | (v84(constB46, B) <=> v123(constB46, B)))),
% 8.56/6.15 inference(modus_ponens,[status(thm)],[13614, 13613])).
% 8.56/6.15 tff(13616,plain,
% 8.56/6.15 ((~v94(constB46)) | ![B: $i] : ((~less_3(B)) | (v84(constB46, B) <=> v123(constB46, B)))),
% 8.56/6.15 inference(unit_resolution,[status(thm)],[13615, 9902])).
% 8.56/6.15 tff(13617,plain,
% 8.56/6.15 (![B: $i] : ((~less_3(B)) | (v84(constB46, B) <=> v123(constB46, B)))),
% 8.56/6.15 inference(unit_resolution,[status(thm)],[13616, 13612])).
% 8.56/6.15 tff(13618,plain,
% 8.56/6.15 (((~![B: $i] : ((~less_3(B)) | (v84(constB46, B) <=> v123(constB46, B)))) | ((~less_3(bitIndex2)) | (v84(constB46, bitIndex2) <=> v123(constB46, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB46, B) <=> v123(constB46, B)))) | (~less_3(bitIndex2)) | (v84(constB46, bitIndex2) <=> v123(constB46, bitIndex2)))),
% 8.56/6.15 inference(rewrite,[status(thm)],[])).
% 8.56/6.15 tff(13619,plain,
% 8.56/6.15 ((~![B: $i] : ((~less_3(B)) | (v84(constB46, B) <=> v123(constB46, B)))) | ((~less_3(bitIndex2)) | (v84(constB46, bitIndex2) <=> v123(constB46, bitIndex2)))),
% 8.56/6.15 inference(quant_inst,[status(thm)],[])).
% 8.56/6.15 tff(13620,plain,
% 8.56/6.15 ((~![B: $i] : ((~less_3(B)) | (v84(constB46, B) <=> v123(constB46, B)))) | (~less_3(bitIndex2)) | (v84(constB46, bitIndex2) <=> v123(constB46, bitIndex2))),
% 8.56/6.15 inference(modus_ponens,[status(thm)],[13619, 13618])).
% 8.56/6.15 tff(13621,plain,
% 8.56/6.15 (v84(constB46, bitIndex2) <=> v123(constB46, bitIndex2)),
% 8.56/6.15 inference(unit_resolution,[status(thm)],[13620, 832, 13617])).
% 8.56/6.15 tff(13622,plain,
% 8.56/6.15 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB45, constB46)) | ![B: $i] : ((~less_3(B)) | (v123(constB46, B) <=> v121(constB45, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB45, constB46)) | ![B: $i] : ((~less_3(B)) | (v123(constB46, B) <=> v121(constB45, B))))),
% 8.56/6.15 inference(rewrite,[status(thm)],[])).
% 8.56/6.15 tff(13623,plain,
% 8.56/6.15 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB45, constB46)) | ![B: $i] : ((~less_3(B)) | (v123(constB46, B) <=> v121(constB45, B))))),
% 8.56/6.15 inference(quant_inst,[status(thm)],[])).
% 8.56/6.15 tff(13624,plain,
% 8.56/6.15 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB45, constB46)) | ![B: $i] : ((~less_3(B)) | (v123(constB46, B) <=> v121(constB45, B)))),
% 8.56/6.15 inference(modus_ponens,[status(thm)],[13623, 13622])).
% 8.56/6.15 tff(13625,plain,
% 8.56/6.15 (![B: $i] : ((~less_3(B)) | (v123(constB46, B) <=> v121(constB45, B)))),
% 8.56/6.15 inference(unit_resolution,[status(thm)],[13624, 7659, 9924])).
% 8.56/6.15 tff(13626,plain,
% 8.56/6.15 (((~![B: $i] : ((~less_3(B)) | (v123(constB46, B) <=> v121(constB45, B)))) | ((~less_3(bitIndex2)) | (v123(constB46, bitIndex2) <=> v121(constB45, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB46, B) <=> v121(constB45, B)))) | (~less_3(bitIndex2)) | (v123(constB46, bitIndex2) <=> v121(constB45, bitIndex2)))),
% 8.56/6.15 inference(rewrite,[status(thm)],[])).
% 8.56/6.15 tff(13627,plain,
% 8.56/6.15 ((~![B: $i] : ((~less_3(B)) | (v123(constB46, B) <=> v121(constB45, B)))) | ((~less_3(bitIndex2)) | (v123(constB46, bitIndex2) <=> v121(constB45, bitIndex2)))),
% 8.56/6.15 inference(quant_inst,[status(thm)],[])).
% 8.56/6.15 tff(13628,plain,
% 8.56/6.15 ((~![B: $i] : ((~less_3(B)) | (v123(constB46, B) <=> v121(constB45, B)))) | (~less_3(bitIndex2)) | (v123(constB46, bitIndex2) <=> v121(constB45, bitIndex2))),
% 8.56/6.15 inference(modus_ponens,[status(thm)],[13627, 13626])).
% 8.56/6.15 tff(13629,plain,
% 8.56/6.15 (v123(constB46, bitIndex2) <=> v121(constB45, bitIndex2)),
% 8.56/6.15 inference(unit_resolution,[status(thm)],[13628, 832, 13625])).
% 8.56/6.15 tff(13630,plain,
% 8.56/6.15 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB45) | ![B: $i] : ((~less_3(B)) | (v121(constB45, B) <=> v124(constB45, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB45) | ![B: $i] : ((~less_3(B)) | (v121(constB45, B) <=> v124(constB45, B))))),
% 8.56/6.15 inference(rewrite,[status(thm)],[])).
% 8.56/6.15 tff(13631,plain,
% 8.56/6.15 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB45) | ![B: $i] : ((~less_3(B)) | (v121(constB45, B) <=> v124(constB45, B))))),
% 8.56/6.15 inference(quant_inst,[status(thm)],[])).
% 8.56/6.15 tff(13632,plain,
% 8.56/6.15 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB45) | ![B: $i] : ((~less_3(B)) | (v121(constB45, B) <=> v124(constB45, B)))),
% 8.56/6.15 inference(modus_ponens,[status(thm)],[13631, 13630])).
% 8.56/6.15 tff(13633,plain,
% 8.56/6.15 (![B: $i] : ((~less_3(B)) | (v121(constB45, B) <=> v124(constB45, B)))),
% 8.56/6.15 inference(unit_resolution,[status(thm)],[13632, 9945, 13594])).
% 8.56/6.15 tff(13634,plain,
% 8.56/6.15 (((~![B: $i] : ((~less_3(B)) | (v121(constB45, B) <=> v124(constB45, B)))) | ((~less_3(bitIndex2)) | (v121(constB45, bitIndex2) <=> v124(constB45, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB45, B) <=> v124(constB45, B)))) | (~less_3(bitIndex2)) | (v121(constB45, bitIndex2) <=> v124(constB45, bitIndex2)))),
% 8.56/6.15 inference(rewrite,[status(thm)],[])).
% 8.56/6.15 tff(13635,plain,
% 8.56/6.15 ((~![B: $i] : ((~less_3(B)) | (v121(constB45, B) <=> v124(constB45, B)))) | ((~less_3(bitIndex2)) | (v121(constB45, bitIndex2) <=> v124(constB45, bitIndex2)))),
% 8.56/6.15 inference(quant_inst,[status(thm)],[])).
% 8.56/6.15 tff(13636,plain,
% 8.56/6.15 ((~![B: $i] : ((~less_3(B)) | (v121(constB45, B) <=> v124(constB45, B)))) | (~less_3(bitIndex2)) | (v121(constB45, bitIndex2) <=> v124(constB45, bitIndex2))),
% 8.56/6.15 inference(modus_ponens,[status(thm)],[13635, 13634])).
% 8.56/6.15 tff(13637,plain,
% 8.56/6.15 (v121(constB45, bitIndex2) <=> v124(constB45, bitIndex2)),
% 8.56/6.15 inference(unit_resolution,[status(thm)],[13636, 832, 13633])).
% 8.56/6.15 tff(13638,plain,
% 8.56/6.15 (((~![VarCurr: $i] : ((~v117(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b101(B))))) | ((~v117(constB45)) | ![B: $i] : ((~less_3(B)) | (v124(constB45, B) <=> b101(B))))) <=> ((~![VarCurr: $i] : ((~v117(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b101(B))))) | (~v117(constB45)) | ![B: $i] : ((~less_3(B)) | (v124(constB45, B) <=> b101(B))))),
% 8.56/6.15 inference(rewrite,[status(thm)],[])).
% 8.56/6.15 tff(13639,plain,
% 8.56/6.15 ((~![VarCurr: $i] : ((~v117(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b101(B))))) | ((~v117(constB45)) | ![B: $i] : ((~less_3(B)) | (v124(constB45, B) <=> b101(B))))),
% 8.56/6.15 inference(quant_inst,[status(thm)],[])).
% 8.56/6.15 tff(13640,plain,
% 8.56/6.15 ((~![VarCurr: $i] : ((~v117(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b101(B))))) | (~v117(constB45)) | ![B: $i] : ((~less_3(B)) | (v124(constB45, B) <=> b101(B)))),
% 8.56/6.15 inference(modus_ponens,[status(thm)],[13639, 13638])).
% 8.56/6.15 tff(13641,plain,
% 8.56/6.15 ((~v117(constB45)) | ![B: $i] : ((~less_3(B)) | (v124(constB45, B) <=> b101(B)))),
% 8.56/6.15 inference(unit_resolution,[status(thm)],[13640, 10677])).
% 8.56/6.15 tff(13642,plain,
% 8.56/6.15 (![B: $i] : ((~less_3(B)) | (v124(constB45, B) <=> b101(B)))),
% 8.56/6.15 inference(unit_resolution,[status(thm)],[13641, 13573])).
% 8.56/6.15 tff(13643,plain,
% 8.56/6.15 (((~![B: $i] : ((~less_3(B)) | (v124(constB45, B) <=> b101(B)))) | ((~less_3(bitIndex2)) | (v124(constB45, bitIndex2) <=> b101(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB45, B) <=> b101(B)))) | (~less_3(bitIndex2)) | (v124(constB45, bitIndex2) <=> b101(bitIndex2)))),
% 8.56/6.15 inference(rewrite,[status(thm)],[])).
% 8.56/6.15 tff(13644,plain,
% 8.56/6.15 ((~![B: $i] : ((~less_3(B)) | (v124(constB45, B) <=> b101(B)))) | ((~less_3(bitIndex2)) | (v124(constB45, bitIndex2) <=> b101(bitIndex2)))),
% 8.56/6.15 inference(quant_inst,[status(thm)],[])).
% 8.56/6.15 tff(13645,plain,
% 8.56/6.15 ((~![B: $i] : ((~less_3(B)) | (v124(constB45, B) <=> b101(B)))) | (~less_3(bitIndex2)) | (v124(constB45, bitIndex2) <=> b101(bitIndex2))),
% 8.56/6.15 inference(modus_ponens,[status(thm)],[13644, 13643])).
% 8.56/6.15 tff(13646,plain,
% 8.56/6.15 (v124(constB45, bitIndex2) <=> b101(bitIndex2)),
% 8.56/6.15 inference(unit_resolution,[status(thm)],[13645, 832, 13642])).
% 8.56/6.15 tff(13647,plain,
% 8.56/6.15 ((~(v124(constB45, bitIndex2) <=> b101(bitIndex2))) | v124(constB45, bitIndex2) | (~b101(bitIndex2))),
% 8.56/6.15 inference(tautology,[status(thm)],[])).
% 8.56/6.15 tff(13648,plain,
% 8.56/6.15 ((~(v124(constB45, bitIndex2) <=> b101(bitIndex2))) | v124(constB45, bitIndex2)),
% 8.56/6.15 inference(unit_resolution,[status(thm)],[13647, 10689])).
% 8.56/6.15 tff(13649,plain,
% 8.56/6.15 (v124(constB45, bitIndex2)),
% 8.56/6.15 inference(unit_resolution,[status(thm)],[13648, 13646])).
% 8.56/6.15 tff(13650,plain,
% 8.56/6.15 ((~(v121(constB45, bitIndex2) <=> v124(constB45, bitIndex2))) | v121(constB45, bitIndex2) | (~v124(constB45, bitIndex2))),
% 8.56/6.15 inference(tautology,[status(thm)],[])).
% 8.56/6.15 tff(13651,plain,
% 8.56/6.15 (v121(constB45, bitIndex2)),
% 8.56/6.15 inference(unit_resolution,[status(thm)],[13650, 13649, 13637])).
% 8.56/6.15 tff(13652,plain,
% 8.56/6.15 ((~(v123(constB46, bitIndex2) <=> v121(constB45, bitIndex2))) | v123(constB46, bitIndex2) | (~v121(constB45, bitIndex2))),
% 8.56/6.15 inference(tautology,[status(thm)],[])).
% 8.56/6.15 tff(13653,plain,
% 8.56/6.15 (v123(constB46, bitIndex2)),
% 8.56/6.15 inference(unit_resolution,[status(thm)],[13652, 13651, 13629])).
% 8.56/6.15 tff(13654,plain,
% 8.56/6.15 ((~(v84(constB46, bitIndex2) <=> v123(constB46, bitIndex2))) | v84(constB46, bitIndex2) | (~v123(constB46, bitIndex2))),
% 8.56/6.15 inference(tautology,[status(thm)],[])).
% 8.56/6.15 tff(13655,plain,
% 8.56/6.15 (v84(constB46, bitIndex2)),
% 8.56/6.15 inference(unit_resolution,[status(thm)],[13654, 13653, 13621])).
% 8.56/6.15 tff(13656,plain,
% 8.56/6.15 ((~(v84(constB47, bitIndex2) <=> v84(constB46, bitIndex2))) | v84(constB47, bitIndex2) | (~v84(constB46, bitIndex2))),
% 8.56/6.15 inference(tautology,[status(thm)],[])).
% 8.56/6.15 tff(13657,plain,
% 8.56/6.15 (v84(constB47, bitIndex2)),
% 8.56/6.15 inference(unit_resolution,[status(thm)],[13656, 13655, 7656])).
% 8.56/6.15 tff(13658,plain,
% 8.56/6.15 (((~![B: $i] : ((~less_3(B)) | (v84(constB47, B) <=> v84(constB46, B)))) | ((~less_3(bitIndex0)) | (v84(constB47, bitIndex0) <=> v84(constB46, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB47, B) <=> v84(constB46, B)))) | (~less_3(bitIndex0)) | (v84(constB47, bitIndex0) <=> v84(constB46, bitIndex0)))),
% 8.56/6.15 inference(rewrite,[status(thm)],[])).
% 8.56/6.15 tff(13659,plain,
% 8.56/6.15 ((~![B: $i] : ((~less_3(B)) | (v84(constB47, B) <=> v84(constB46, B)))) | ((~less_3(bitIndex0)) | (v84(constB47, bitIndex0) <=> v84(constB46, bitIndex0)))),
% 8.56/6.15 inference(quant_inst,[status(thm)],[])).
% 8.56/6.15 tff(13660,plain,
% 8.56/6.15 ((~![B: $i] : ((~less_3(B)) | (v84(constB47, B) <=> v84(constB46, B)))) | (~less_3(bitIndex0)) | (v84(constB47, bitIndex0) <=> v84(constB46, bitIndex0))),
% 8.56/6.15 inference(modus_ponens,[status(thm)],[13659, 13658])).
% 8.56/6.15 tff(13661,plain,
% 8.56/6.15 (v84(constB47, bitIndex0) <=> v84(constB46, bitIndex0)),
% 8.56/6.15 inference(unit_resolution,[status(thm)],[13660, 9772, 7652])).
% 8.56/6.15 tff(13662,plain,
% 8.56/6.15 (((~![B: $i] : ((~less_3(B)) | (v84(constB46, B) <=> v123(constB46, B)))) | ((~less_3(bitIndex0)) | (v84(constB46, bitIndex0) <=> v123(constB46, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB46, B) <=> v123(constB46, B)))) | (~less_3(bitIndex0)) | (v84(constB46, bitIndex0) <=> v123(constB46, bitIndex0)))),
% 8.56/6.15 inference(rewrite,[status(thm)],[])).
% 8.56/6.15 tff(13663,plain,
% 8.56/6.15 ((~![B: $i] : ((~less_3(B)) | (v84(constB46, B) <=> v123(constB46, B)))) | ((~less_3(bitIndex0)) | (v84(constB46, bitIndex0) <=> v123(constB46, bitIndex0)))),
% 8.56/6.15 inference(quant_inst,[status(thm)],[])).
% 8.56/6.15 tff(13664,plain,
% 8.56/6.15 ((~![B: $i] : ((~less_3(B)) | (v84(constB46, B) <=> v123(constB46, B)))) | (~less_3(bitIndex0)) | (v84(constB46, bitIndex0) <=> v123(constB46, bitIndex0))),
% 8.56/6.15 inference(modus_ponens,[status(thm)],[13663, 13662])).
% 8.56/6.15 tff(13665,plain,
% 8.56/6.15 (v84(constB46, bitIndex0) <=> v123(constB46, bitIndex0)),
% 8.56/6.15 inference(unit_resolution,[status(thm)],[13664, 9772, 13617])).
% 8.56/6.15 tff(13666,plain,
% 8.56/6.15 (((~![B: $i] : ((~less_3(B)) | (v123(constB46, B) <=> v121(constB45, B)))) | ((~less_3(bitIndex0)) | (v123(constB46, bitIndex0) <=> v121(constB45, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB46, B) <=> v121(constB45, B)))) | (~less_3(bitIndex0)) | (v123(constB46, bitIndex0) <=> v121(constB45, bitIndex0)))),
% 8.56/6.15 inference(rewrite,[status(thm)],[])).
% 8.56/6.15 tff(13667,plain,
% 8.56/6.15 ((~![B: $i] : ((~less_3(B)) | (v123(constB46, B) <=> v121(constB45, B)))) | ((~less_3(bitIndex0)) | (v123(constB46, bitIndex0) <=> v121(constB45, bitIndex0)))),
% 8.56/6.15 inference(quant_inst,[status(thm)],[])).
% 8.56/6.15 tff(13668,plain,
% 8.56/6.15 ((~![B: $i] : ((~less_3(B)) | (v123(constB46, B) <=> v121(constB45, B)))) | (~less_3(bitIndex0)) | (v123(constB46, bitIndex0) <=> v121(constB45, bitIndex0))),
% 8.56/6.15 inference(modus_ponens,[status(thm)],[13667, 13666])).
% 8.56/6.15 tff(13669,plain,
% 8.56/6.15 (v123(constB46, bitIndex0) <=> v121(constB45, bitIndex0)),
% 8.56/6.15 inference(unit_resolution,[status(thm)],[13668, 9772, 13625])).
% 8.56/6.15 tff(13670,plain,
% 8.56/6.15 (((~![B: $i] : ((~less_3(B)) | (v121(constB45, B) <=> v124(constB45, B)))) | ((~less_3(bitIndex0)) | (v121(constB45, bitIndex0) <=> v124(constB45, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB45, B) <=> v124(constB45, B)))) | (~less_3(bitIndex0)) | (v121(constB45, bitIndex0) <=> v124(constB45, bitIndex0)))),
% 8.56/6.15 inference(rewrite,[status(thm)],[])).
% 8.56/6.15 tff(13671,plain,
% 8.56/6.15 ((~![B: $i] : ((~less_3(B)) | (v121(constB45, B) <=> v124(constB45, B)))) | ((~less_3(bitIndex0)) | (v121(constB45, bitIndex0) <=> v124(constB45, bitIndex0)))),
% 8.56/6.15 inference(quant_inst,[status(thm)],[])).
% 8.56/6.15 tff(13672,plain,
% 8.56/6.15 ((~![B: $i] : ((~less_3(B)) | (v121(constB45, B) <=> v124(constB45, B)))) | (~less_3(bitIndex0)) | (v121(constB45, bitIndex0) <=> v124(constB45, bitIndex0))),
% 8.56/6.15 inference(modus_ponens,[status(thm)],[13671, 13670])).
% 8.56/6.15 tff(13673,plain,
% 8.56/6.15 (v121(constB45, bitIndex0) <=> v124(constB45, bitIndex0)),
% 8.56/6.15 inference(unit_resolution,[status(thm)],[13672, 9772, 13633])).
% 8.56/6.15 tff(13674,plain,
% 8.56/6.15 (((~![B: $i] : ((~less_3(B)) | (v124(constB45, B) <=> b101(B)))) | ((~less_3(bitIndex0)) | (v124(constB45, bitIndex0) <=> b101(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB45, B) <=> b101(B)))) | (~less_3(bitIndex0)) | (v124(constB45, bitIndex0) <=> b101(bitIndex0)))),
% 8.56/6.15 inference(rewrite,[status(thm)],[])).
% 8.56/6.15 tff(13675,plain,
% 8.56/6.15 ((~![B: $i] : ((~less_3(B)) | (v124(constB45, B) <=> b101(B)))) | ((~less_3(bitIndex0)) | (v124(constB45, bitIndex0) <=> b101(bitIndex0)))),
% 8.56/6.15 inference(quant_inst,[status(thm)],[])).
% 8.56/6.15 tff(13676,plain,
% 8.56/6.15 ((~![B: $i] : ((~less_3(B)) | (v124(constB45, B) <=> b101(B)))) | (~less_3(bitIndex0)) | (v124(constB45, bitIndex0) <=> b101(bitIndex0))),
% 8.56/6.15 inference(modus_ponens,[status(thm)],[13675, 13674])).
% 8.56/6.15 tff(13677,plain,
% 8.56/6.15 (v124(constB45, bitIndex0) <=> b101(bitIndex0)),
% 8.56/6.15 inference(unit_resolution,[status(thm)],[13676, 9772, 13642])).
% 8.56/6.15 tff(13678,plain,
% 8.56/6.15 ((~(v124(constB45, bitIndex0) <=> b101(bitIndex0))) | v124(constB45, bitIndex0) | (~b101(bitIndex0))),
% 8.56/6.15 inference(tautology,[status(thm)],[])).
% 8.56/6.15 tff(13679,plain,
% 8.56/6.15 ((~(v124(constB45, bitIndex0) <=> b101(bitIndex0))) | v124(constB45, bitIndex0)),
% 8.56/6.15 inference(unit_resolution,[status(thm)],[13678, 10723])).
% 8.56/6.15 tff(13680,plain,
% 8.56/6.15 (v124(constB45, bitIndex0)),
% 8.56/6.15 inference(unit_resolution,[status(thm)],[13679, 13677])).
% 8.56/6.15 tff(13681,plain,
% 8.56/6.15 ((~(v121(constB45, bitIndex0) <=> v124(constB45, bitIndex0))) | v121(constB45, bitIndex0) | (~v124(constB45, bitIndex0))),
% 8.56/6.15 inference(tautology,[status(thm)],[])).
% 8.56/6.15 tff(13682,plain,
% 8.56/6.15 (v121(constB45, bitIndex0)),
% 8.56/6.15 inference(unit_resolution,[status(thm)],[13681, 13680, 13673])).
% 8.56/6.15 tff(13683,plain,
% 8.56/6.15 ((~(v123(constB46, bitIndex0) <=> v121(constB45, bitIndex0))) | v123(constB46, bitIndex0) | (~v121(constB45, bitIndex0))),
% 8.56/6.15 inference(tautology,[status(thm)],[])).
% 8.56/6.15 tff(13684,plain,
% 8.56/6.15 (v123(constB46, bitIndex0)),
% 8.56/6.15 inference(unit_resolution,[status(thm)],[13683, 13682, 13669])).
% 8.56/6.15 tff(13685,plain,
% 8.56/6.15 ((~(v84(constB46, bitIndex0) <=> v123(constB46, bitIndex0))) | v84(constB46, bitIndex0) | (~v123(constB46, bitIndex0))),
% 8.56/6.15 inference(tautology,[status(thm)],[])).
% 8.56/6.15 tff(13686,plain,
% 8.56/6.15 (v84(constB46, bitIndex0)),
% 8.56/6.15 inference(unit_resolution,[status(thm)],[13685, 13684, 13665])).
% 8.56/6.15 tff(13687,plain,
% 8.56/6.15 ((~(v84(constB47, bitIndex0) <=> v84(constB46, bitIndex0))) | v84(constB47, bitIndex0) | (~v84(constB46, bitIndex0))),
% 8.56/6.15 inference(tautology,[status(thm)],[])).
% 8.56/6.15 tff(13688,plain,
% 8.56/6.15 (v84(constB47, bitIndex0)),
% 8.56/6.15 inference(unit_resolution,[status(thm)],[13687, 13686, 13661])).
% 8.56/6.15 tff(13689,plain,
% 8.56/6.15 (((~![B: $i] : ((~less_3(B)) | (v84(constB47, B) <=> v84(constB46, B)))) | ((~less_3(bitIndex1)) | (v84(constB47, bitIndex1) <=> v84(constB46, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB47, B) <=> v84(constB46, B)))) | (~less_3(bitIndex1)) | (v84(constB47, bitIndex1) <=> v84(constB46, bitIndex1)))),
% 8.56/6.15 inference(rewrite,[status(thm)],[])).
% 8.56/6.15 tff(13690,plain,
% 8.56/6.15 ((~![B: $i] : ((~less_3(B)) | (v84(constB47, B) <=> v84(constB46, B)))) | ((~less_3(bitIndex1)) | (v84(constB47, bitIndex1) <=> v84(constB46, bitIndex1)))),
% 8.56/6.15 inference(quant_inst,[status(thm)],[])).
% 8.56/6.15 tff(13691,plain,
% 8.56/6.15 ((~![B: $i] : ((~less_3(B)) | (v84(constB47, B) <=> v84(constB46, B)))) | (~less_3(bitIndex1)) | (v84(constB47, bitIndex1) <=> v84(constB46, bitIndex1))),
% 8.56/6.15 inference(modus_ponens,[status(thm)],[13690, 13689])).
% 8.56/6.15 tff(13692,plain,
% 8.56/6.15 (v84(constB47, bitIndex1) <=> v84(constB46, bitIndex1)),
% 8.56/6.15 inference(unit_resolution,[status(thm)],[13691, 9785, 7652])).
% 8.56/6.15 tff(13693,plain,
% 8.56/6.15 (((~![B: $i] : ((~less_3(B)) | (v84(constB46, B) <=> v123(constB46, B)))) | ((~less_3(bitIndex1)) | (v84(constB46, bitIndex1) <=> v123(constB46, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB46, B) <=> v123(constB46, B)))) | (~less_3(bitIndex1)) | (v84(constB46, bitIndex1) <=> v123(constB46, bitIndex1)))),
% 8.56/6.15 inference(rewrite,[status(thm)],[])).
% 8.56/6.15 tff(13694,plain,
% 8.56/6.15 ((~![B: $i] : ((~less_3(B)) | (v84(constB46, B) <=> v123(constB46, B)))) | ((~less_3(bitIndex1)) | (v84(constB46, bitIndex1) <=> v123(constB46, bitIndex1)))),
% 8.56/6.15 inference(quant_inst,[status(thm)],[])).
% 8.56/6.15 tff(13695,plain,
% 8.56/6.15 ((~![B: $i] : ((~less_3(B)) | (v84(constB46, B) <=> v123(constB46, B)))) | (~less_3(bitIndex1)) | (v84(constB46, bitIndex1) <=> v123(constB46, bitIndex1))),
% 8.56/6.15 inference(modus_ponens,[status(thm)],[13694, 13693])).
% 8.56/6.15 tff(13696,plain,
% 8.56/6.15 (v84(constB46, bitIndex1) <=> v123(constB46, bitIndex1)),
% 8.56/6.15 inference(unit_resolution,[status(thm)],[13695, 9785, 13617])).
% 8.56/6.15 tff(13697,plain,
% 8.56/6.15 (((~![B: $i] : ((~less_3(B)) | (v123(constB46, B) <=> v121(constB45, B)))) | ((~less_3(bitIndex1)) | (v123(constB46, bitIndex1) <=> v121(constB45, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB46, B) <=> v121(constB45, B)))) | (~less_3(bitIndex1)) | (v123(constB46, bitIndex1) <=> v121(constB45, bitIndex1)))),
% 8.56/6.15 inference(rewrite,[status(thm)],[])).
% 8.56/6.15 tff(13698,plain,
% 8.56/6.15 ((~![B: $i] : ((~less_3(B)) | (v123(constB46, B) <=> v121(constB45, B)))) | ((~less_3(bitIndex1)) | (v123(constB46, bitIndex1) <=> v121(constB45, bitIndex1)))),
% 8.56/6.15 inference(quant_inst,[status(thm)],[])).
% 8.56/6.15 tff(13699,plain,
% 8.56/6.15 ((~![B: $i] : ((~less_3(B)) | (v123(constB46, B) <=> v121(constB45, B)))) | (~less_3(bitIndex1)) | (v123(constB46, bitIndex1) <=> v121(constB45, bitIndex1))),
% 8.56/6.15 inference(modus_ponens,[status(thm)],[13698, 13697])).
% 8.56/6.15 tff(13700,plain,
% 8.56/6.15 (v123(constB46, bitIndex1) <=> v121(constB45, bitIndex1)),
% 8.56/6.15 inference(unit_resolution,[status(thm)],[13699, 9785, 13625])).
% 8.56/6.15 tff(13701,plain,
% 8.56/6.15 (((~![B: $i] : ((~less_3(B)) | (v121(constB45, B) <=> v124(constB45, B)))) | ((~less_3(bitIndex1)) | (v121(constB45, bitIndex1) <=> v124(constB45, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB45, B) <=> v124(constB45, B)))) | (~less_3(bitIndex1)) | (v121(constB45, bitIndex1) <=> v124(constB45, bitIndex1)))),
% 8.56/6.15 inference(rewrite,[status(thm)],[])).
% 8.56/6.15 tff(13702,plain,
% 8.56/6.15 ((~![B: $i] : ((~less_3(B)) | (v121(constB45, B) <=> v124(constB45, B)))) | ((~less_3(bitIndex1)) | (v121(constB45, bitIndex1) <=> v124(constB45, bitIndex1)))),
% 8.56/6.15 inference(quant_inst,[status(thm)],[])).
% 8.56/6.15 tff(13703,plain,
% 8.56/6.15 ((~![B: $i] : ((~less_3(B)) | (v121(constB45, B) <=> v124(constB45, B)))) | (~less_3(bitIndex1)) | (v121(constB45, bitIndex1) <=> v124(constB45, bitIndex1))),
% 8.56/6.15 inference(modus_ponens,[status(thm)],[13702, 13701])).
% 8.56/6.15 tff(13704,plain,
% 8.56/6.15 (v121(constB45, bitIndex1) <=> v124(constB45, bitIndex1)),
% 8.56/6.15 inference(unit_resolution,[status(thm)],[13703, 9785, 13633])).
% 8.56/6.15 tff(13705,plain,
% 8.56/6.15 (((~![B: $i] : ((~less_3(B)) | (v124(constB45, B) <=> b101(B)))) | ((~less_3(bitIndex1)) | (v124(constB45, bitIndex1) <=> b101(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB45, B) <=> b101(B)))) | (~less_3(bitIndex1)) | (v124(constB45, bitIndex1) <=> b101(bitIndex1)))),
% 8.56/6.15 inference(rewrite,[status(thm)],[])).
% 8.56/6.15 tff(13706,plain,
% 8.56/6.15 ((~![B: $i] : ((~less_3(B)) | (v124(constB45, B) <=> b101(B)))) | ((~less_3(bitIndex1)) | (v124(constB45, bitIndex1) <=> b101(bitIndex1)))),
% 8.56/6.15 inference(quant_inst,[status(thm)],[])).
% 8.56/6.15 tff(13707,plain,
% 8.56/6.15 ((~![B: $i] : ((~less_3(B)) | (v124(constB45, B) <=> b101(B)))) | (~less_3(bitIndex1)) | (v124(constB45, bitIndex1) <=> b101(bitIndex1))),
% 8.56/6.15 inference(modus_ponens,[status(thm)],[13706, 13705])).
% 8.56/6.15 tff(13708,plain,
% 8.56/6.15 (v124(constB45, bitIndex1) <=> b101(bitIndex1)),
% 8.56/6.15 inference(unit_resolution,[status(thm)],[13707, 9785, 13642])).
% 8.56/6.15 tff(13709,plain,
% 8.56/6.15 ((~(v124(constB45, bitIndex1) <=> b101(bitIndex1))) | (~v124(constB45, bitIndex1)) | b101(bitIndex1)),
% 8.56/6.15 inference(tautology,[status(thm)],[])).
% 8.56/6.15 tff(13710,plain,
% 8.56/6.15 ((~(v124(constB45, bitIndex1) <=> b101(bitIndex1))) | (~v124(constB45, bitIndex1))),
% 8.56/6.15 inference(unit_resolution,[status(thm)],[13709, 10757])).
% 8.56/6.15 tff(13711,plain,
% 8.56/6.15 (~v124(constB45, bitIndex1)),
% 8.56/6.15 inference(unit_resolution,[status(thm)],[13710, 13708])).
% 8.56/6.15 tff(13712,plain,
% 8.56/6.15 ((~(v121(constB45, bitIndex1) <=> v124(constB45, bitIndex1))) | (~v121(constB45, bitIndex1)) | v124(constB45, bitIndex1)),
% 8.56/6.15 inference(tautology,[status(thm)],[])).
% 8.56/6.15 tff(13713,plain,
% 8.56/6.15 (~v121(constB45, bitIndex1)),
% 8.56/6.15 inference(unit_resolution,[status(thm)],[13712, 13711, 13704])).
% 8.56/6.15 tff(13714,plain,
% 8.56/6.15 ((~(v123(constB46, bitIndex1) <=> v121(constB45, bitIndex1))) | (~v123(constB46, bitIndex1)) | v121(constB45, bitIndex1)),
% 8.56/6.15 inference(tautology,[status(thm)],[])).
% 8.56/6.15 tff(13715,plain,
% 8.56/6.15 (~v123(constB46, bitIndex1)),
% 8.56/6.15 inference(unit_resolution,[status(thm)],[13714, 13713, 13700])).
% 8.56/6.15 tff(13716,plain,
% 8.56/6.15 ((~(v84(constB46, bitIndex1) <=> v123(constB46, bitIndex1))) | (~v84(constB46, bitIndex1)) | v123(constB46, bitIndex1)),
% 8.56/6.15 inference(tautology,[status(thm)],[])).
% 8.56/6.15 tff(13717,plain,
% 8.56/6.15 (~v84(constB46, bitIndex1)),
% 8.56/6.15 inference(unit_resolution,[status(thm)],[13716, 13715, 13696])).
% 8.56/6.15 tff(13718,plain,
% 8.56/6.15 ((~(v84(constB47, bitIndex1) <=> v84(constB46, bitIndex1))) | (~v84(constB47, bitIndex1)) | v84(constB46, bitIndex1)),
% 8.56/6.15 inference(tautology,[status(thm)],[])).
% 8.56/6.15 tff(13719,plain,
% 8.56/6.15 (~v84(constB47, bitIndex1)),
% 8.56/6.15 inference(unit_resolution,[status(thm)],[13718, 13717, 13692])).
% 8.56/6.15 tff(13720,plain,
% 8.56/6.15 ((~((~v84(constB47, bitIndex2)) | v84(constB47, bitIndex1) | (~v84(constB47, bitIndex0)))) | (~v84(constB47, bitIndex2)) | v84(constB47, bitIndex1) | (~v84(constB47, bitIndex0))),
% 8.56/6.15 inference(tautology,[status(thm)],[])).
% 8.56/6.15 tff(13721,plain,
% 8.56/6.15 (~((~v84(constB47, bitIndex2)) | v84(constB47, bitIndex1) | (~v84(constB47, bitIndex0)))),
% 8.56/6.15 inference(unit_resolution,[status(thm)],[13720, 13719, 13688, 13657])).
% 8.56/6.15 tff(13722,plain,
% 8.56/6.15 ((~(v118(constB47) <=> (~((~v84(constB47, bitIndex2)) | v84(constB47, bitIndex1) | (~v84(constB47, bitIndex0)))))) | v118(constB47) | ((~v84(constB47, bitIndex2)) | v84(constB47, bitIndex1) | (~v84(constB47, bitIndex0)))),
% 8.56/6.15 inference(tautology,[status(thm)],[])).
% 8.56/6.15 tff(13723,plain,
% 8.56/6.15 (v118(constB47)),
% 8.56/6.15 inference(unit_resolution,[status(thm)],[13722, 13721, 7624])).
% 8.56/6.15 tff(13724,plain,
% 8.56/6.15 ((v109(constB47) | v118(constB47)) | (~v118(constB47))),
% 8.56/6.15 inference(tautology,[status(thm)],[])).
% 8.56/6.15 tff(13725,plain,
% 8.56/6.15 (v109(constB47) | v118(constB47)),
% 8.56/6.15 inference(unit_resolution,[status(thm)],[13724, 13723])).
% 8.56/6.15 tff(13726,plain,
% 8.56/6.15 ((~(v108(constB47) <=> (v109(constB47) | v118(constB47)))) | v108(constB47) | (~(v109(constB47) | v118(constB47)))),
% 8.56/6.15 inference(tautology,[status(thm)],[])).
% 8.56/6.15 tff(13727,plain,
% 8.56/6.15 (v108(constB47)),
% 8.56/6.15 inference(unit_resolution,[status(thm)],[13726, 13725, 7617])).
% 8.56/6.15 tff(13728,plain,
% 8.56/6.15 ((v108(constB47) | v119(constB47)) | (~v108(constB47))),
% 8.56/6.15 inference(tautology,[status(thm)],[])).
% 8.56/6.15 tff(13729,plain,
% 8.56/6.15 (v108(constB47) | v119(constB47)),
% 8.56/6.15 inference(unit_resolution,[status(thm)],[13728, 13727])).
% 8.56/6.15 tff(13730,plain,
% 8.56/6.15 ((~(v107(constB47) <=> (v108(constB47) | v119(constB47)))) | v107(constB47) | (~(v108(constB47) | v119(constB47)))),
% 8.56/6.15 inference(tautology,[status(thm)],[])).
% 8.56/6.15 tff(13731,plain,
% 8.56/6.15 (v107(constB47)),
% 8.56/6.15 inference(unit_resolution,[status(thm)],[13730, 13729, 7615])).
% 8.56/6.15 tff(13732,plain,
% 8.56/6.15 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB47)) <=> v105(constB47))),
% 8.56/6.15 inference(quant_inst,[status(thm)],[])).
% 8.56/6.15 tff(13733,plain,
% 8.56/6.15 ((~v120(constB47)) <=> v105(constB47)),
% 8.56/6.15 inference(unit_resolution,[status(thm)],[13732, 9842])).
% 8.56/6.15 tff(13734,plain,
% 8.56/6.15 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB47) <=> v26(constB47))),
% 8.56/6.15 inference(quant_inst,[status(thm)],[])).
% 8.56/6.15 tff(13735,plain,
% 8.56/6.15 (v105(constB47) <=> v26(constB47)),
% 8.56/6.15 inference(unit_resolution,[status(thm)],[13734, 9854])).
% 8.56/6.15 tff(13736,plain,
% 8.56/6.15 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB47))),
% 8.56/6.15 inference(quant_inst,[status(thm)],[])).
% 8.56/6.15 tff(13737,plain,
% 8.56/6.15 (~v26(constB47)),
% 8.56/6.15 inference(unit_resolution,[status(thm)],[13736, 9866])).
% 8.56/6.15 tff(13738,plain,
% 8.56/6.15 ((~(v105(constB47) <=> v26(constB47))) | (~v105(constB47)) | v26(constB47)),
% 8.56/6.15 inference(tautology,[status(thm)],[])).
% 8.56/6.15 tff(13739,plain,
% 8.56/6.15 ((~(v105(constB47) <=> v26(constB47))) | (~v105(constB47))),
% 8.56/6.15 inference(unit_resolution,[status(thm)],[13738, 13737])).
% 8.56/6.15 tff(13740,plain,
% 8.56/6.15 (~v105(constB47)),
% 8.56/6.15 inference(unit_resolution,[status(thm)],[13739, 13735])).
% 8.56/6.15 tff(13741,plain,
% 8.56/6.15 ((~((~v120(constB47)) <=> v105(constB47))) | v120(constB47) | v105(constB47)),
% 8.56/6.15 inference(tautology,[status(thm)],[])).
% 8.56/6.15 tff(13742,plain,
% 8.56/6.15 ((~((~v120(constB47)) <=> v105(constB47))) | v120(constB47)),
% 8.56/6.15 inference(unit_resolution,[status(thm)],[13741, 13740])).
% 8.56/6.15 tff(13743,plain,
% 8.56/6.15 (v120(constB47)),
% 8.56/6.15 inference(unit_resolution,[status(thm)],[13742, 13733])).
% 8.56/6.15 tff(13744,plain,
% 8.56/6.15 ((~((~v107(constB47)) | (~v120(constB47)))) | (~v107(constB47)) | (~v120(constB47))),
% 8.56/6.15 inference(tautology,[status(thm)],[])).
% 8.56/6.15 tff(13745,plain,
% 8.56/6.15 ((~((~v107(constB47)) | (~v120(constB47)))) | (~v107(constB47))),
% 8.56/6.15 inference(unit_resolution,[status(thm)],[13744, 13743])).
% 8.56/6.15 tff(13746,plain,
% 8.56/6.15 (~((~v107(constB47)) | (~v120(constB47)))),
% 8.56/6.15 inference(unit_resolution,[status(thm)],[13745, 13731])).
% 8.56/6.15 tff(13747,plain,
% 8.56/6.15 ((~(v106(constB47) <=> (~((~v107(constB47)) | (~v120(constB47)))))) | v106(constB47) | ((~v107(constB47)) | (~v120(constB47)))),
% 8.56/6.15 inference(tautology,[status(thm)],[])).
% 8.56/6.15 tff(13748,plain,
% 8.56/6.15 (v106(constB47)),
% 8.56/6.15 inference(unit_resolution,[status(thm)],[13747, 13746, 7613])).
% 8.56/6.15 tff(13749,plain,
% 8.56/6.15 ((v105(constB47) | v106(constB47)) | (~v106(constB47))),
% 8.56/6.15 inference(tautology,[status(thm)],[])).
% 8.56/6.15 tff(13750,plain,
% 8.56/6.15 (v105(constB47) | v106(constB47)),
% 8.56/6.15 inference(unit_resolution,[status(thm)],[13749, 13748])).
% 8.56/6.15 tff(13751,plain,
% 8.56/6.15 ((~(v102(constB47) <=> (v105(constB47) | v106(constB47)))) | v102(constB47) | (~(v105(constB47) | v106(constB47)))),
% 8.56/6.15 inference(tautology,[status(thm)],[])).
% 8.56/6.15 tff(13752,plain,
% 8.56/6.15 (v102(constB47)),
% 8.56/6.15 inference(unit_resolution,[status(thm)],[13751, 13750, 7611])).
% 8.56/6.15 tff(13753,plain,
% 8.56/6.15 ((~(v104(constB48) <=> v102(constB47))) | v104(constB48) | (~v102(constB47))),
% 8.56/6.15 inference(tautology,[status(thm)],[])).
% 8.56/6.15 tff(13754,plain,
% 8.56/6.15 (v104(constB48)),
% 8.56/6.15 inference(unit_resolution,[status(thm)],[13753, 13752, 7609])).
% 8.56/6.15 tff(13755,plain,
% 8.56/6.15 ((~((~v104(constB48)) | (~v95(constB48)))) | (~v104(constB48)) | (~v95(constB48))),
% 8.56/6.15 inference(tautology,[status(thm)],[])).
% 8.56/6.15 tff(13756,plain,
% 8.56/6.15 (~((~v104(constB48)) | (~v95(constB48)))),
% 8.56/6.15 inference(unit_resolution,[status(thm)],[13755, 13754, 7605])).
% 8.56/6.15 tff(13757,plain,
% 8.56/6.15 ((~(v94(constB48) <=> (~((~v104(constB48)) | (~v95(constB48)))))) | v94(constB48) | ((~v104(constB48)) | (~v95(constB48)))),
% 8.56/6.15 inference(tautology,[status(thm)],[])).
% 8.56/6.15 tff(13758,plain,
% 8.56/6.15 (v94(constB48)),
% 8.56/6.15 inference(unit_resolution,[status(thm)],[13757, 13756, 7574])).
% 8.56/6.15 tff(13759,plain,
% 8.56/6.15 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB48)) | ![B: $i] : ((~less_3(B)) | (v84(constB48, B) <=> v123(constB48, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB48)) | ![B: $i] : ((~less_3(B)) | (v84(constB48, B) <=> v123(constB48, B))))),
% 8.56/6.15 inference(rewrite,[status(thm)],[])).
% 8.56/6.15 tff(13760,plain,
% 8.56/6.15 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB48)) | ![B: $i] : ((~less_3(B)) | (v84(constB48, B) <=> v123(constB48, B))))),
% 8.56/6.15 inference(quant_inst,[status(thm)],[])).
% 8.56/6.15 tff(13761,plain,
% 8.56/6.15 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB48)) | ![B: $i] : ((~less_3(B)) | (v84(constB48, B) <=> v123(constB48, B)))),
% 8.56/6.15 inference(modus_ponens,[status(thm)],[13760, 13759])).
% 8.56/6.15 tff(13762,plain,
% 8.56/6.15 ((~v94(constB48)) | ![B: $i] : ((~less_3(B)) | (v84(constB48, B) <=> v123(constB48, B)))),
% 8.56/6.15 inference(unit_resolution,[status(thm)],[13761, 9902])).
% 8.56/6.15 tff(13763,plain,
% 8.56/6.15 (![B: $i] : ((~less_3(B)) | (v84(constB48, B) <=> v123(constB48, B)))),
% 8.56/6.15 inference(unit_resolution,[status(thm)],[13762, 13758])).
% 8.56/6.15 tff(13764,plain,
% 8.56/6.15 (((~![B: $i] : ((~less_3(B)) | (v84(constB48, B) <=> v123(constB48, B)))) | ((~less_3(bitIndex2)) | (v84(constB48, bitIndex2) <=> v123(constB48, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB48, B) <=> v123(constB48, B)))) | (~less_3(bitIndex2)) | (v84(constB48, bitIndex2) <=> v123(constB48, bitIndex2)))),
% 8.56/6.15 inference(rewrite,[status(thm)],[])).
% 8.56/6.15 tff(13765,plain,
% 8.56/6.15 ((~![B: $i] : ((~less_3(B)) | (v84(constB48, B) <=> v123(constB48, B)))) | ((~less_3(bitIndex2)) | (v84(constB48, bitIndex2) <=> v123(constB48, bitIndex2)))),
% 8.56/6.15 inference(quant_inst,[status(thm)],[])).
% 8.56/6.15 tff(13766,plain,
% 8.56/6.15 ((~![B: $i] : ((~less_3(B)) | (v84(constB48, B) <=> v123(constB48, B)))) | (~less_3(bitIndex2)) | (v84(constB48, bitIndex2) <=> v123(constB48, bitIndex2))),
% 8.56/6.15 inference(modus_ponens,[status(thm)],[13765, 13764])).
% 8.56/6.15 tff(13767,plain,
% 8.56/6.15 (v84(constB48, bitIndex2) <=> v123(constB48, bitIndex2)),
% 8.56/6.15 inference(unit_resolution,[status(thm)],[13766, 832, 13763])).
% 8.56/6.15 tff(13768,plain,
% 8.56/6.15 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB47, constB48)) | ![B: $i] : ((~less_3(B)) | (v123(constB48, B) <=> v121(constB47, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB47, constB48)) | ![B: $i] : ((~less_3(B)) | (v123(constB48, B) <=> v121(constB47, B))))),
% 8.56/6.15 inference(rewrite,[status(thm)],[])).
% 8.56/6.15 tff(13769,plain,
% 8.56/6.15 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB47, constB48)) | ![B: $i] : ((~less_3(B)) | (v123(constB48, B) <=> v121(constB47, B))))),
% 8.56/6.15 inference(quant_inst,[status(thm)],[])).
% 8.56/6.15 tff(13770,plain,
% 8.56/6.15 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB47, constB48)) | ![B: $i] : ((~less_3(B)) | (v123(constB48, B) <=> v121(constB47, B)))),
% 8.56/6.15 inference(modus_ponens,[status(thm)],[13769, 13768])).
% 8.56/6.15 tff(13771,plain,
% 8.56/6.15 (![B: $i] : ((~less_3(B)) | (v123(constB48, B) <=> v121(constB47, B)))),
% 8.56/6.15 inference(unit_resolution,[status(thm)],[13770, 7570, 9924])).
% 8.56/6.15 tff(13772,plain,
% 8.56/6.15 (((~![B: $i] : ((~less_3(B)) | (v123(constB48, B) <=> v121(constB47, B)))) | ((~less_3(bitIndex2)) | (v123(constB48, bitIndex2) <=> v121(constB47, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB48, B) <=> v121(constB47, B)))) | (~less_3(bitIndex2)) | (v123(constB48, bitIndex2) <=> v121(constB47, bitIndex2)))),
% 8.56/6.15 inference(rewrite,[status(thm)],[])).
% 8.56/6.15 tff(13773,plain,
% 8.56/6.16 ((~![B: $i] : ((~less_3(B)) | (v123(constB48, B) <=> v121(constB47, B)))) | ((~less_3(bitIndex2)) | (v123(constB48, bitIndex2) <=> v121(constB47, bitIndex2)))),
% 8.56/6.16 inference(quant_inst,[status(thm)],[])).
% 8.56/6.16 tff(13774,plain,
% 8.56/6.16 ((~![B: $i] : ((~less_3(B)) | (v123(constB48, B) <=> v121(constB47, B)))) | (~less_3(bitIndex2)) | (v123(constB48, bitIndex2) <=> v121(constB47, bitIndex2))),
% 8.56/6.16 inference(modus_ponens,[status(thm)],[13773, 13772])).
% 8.56/6.16 tff(13775,plain,
% 8.56/6.16 (v123(constB48, bitIndex2) <=> v121(constB47, bitIndex2)),
% 8.56/6.16 inference(unit_resolution,[status(thm)],[13774, 832, 13771])).
% 8.56/6.16 tff(13776,plain,
% 8.56/6.16 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB47) | ![B: $i] : ((~less_3(B)) | (v121(constB47, B) <=> v124(constB47, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB47) | ![B: $i] : ((~less_3(B)) | (v121(constB47, B) <=> v124(constB47, B))))),
% 8.56/6.16 inference(rewrite,[status(thm)],[])).
% 8.56/6.16 tff(13777,plain,
% 8.56/6.16 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB47) | ![B: $i] : ((~less_3(B)) | (v121(constB47, B) <=> v124(constB47, B))))),
% 8.56/6.16 inference(quant_inst,[status(thm)],[])).
% 8.56/6.16 tff(13778,plain,
% 8.56/6.16 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB47) | ![B: $i] : ((~less_3(B)) | (v121(constB47, B) <=> v124(constB47, B)))),
% 8.56/6.16 inference(modus_ponens,[status(thm)],[13777, 13776])).
% 8.56/6.16 tff(13779,plain,
% 8.56/6.16 (![B: $i] : ((~less_3(B)) | (v121(constB47, B) <=> v124(constB47, B)))),
% 8.56/6.16 inference(unit_resolution,[status(thm)],[13778, 9945, 13740])).
% 8.56/6.16 tff(13780,plain,
% 8.56/6.16 (((~![B: $i] : ((~less_3(B)) | (v121(constB47, B) <=> v124(constB47, B)))) | ((~less_3(bitIndex2)) | (v121(constB47, bitIndex2) <=> v124(constB47, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB47, B) <=> v124(constB47, B)))) | (~less_3(bitIndex2)) | (v121(constB47, bitIndex2) <=> v124(constB47, bitIndex2)))),
% 8.56/6.16 inference(rewrite,[status(thm)],[])).
% 8.56/6.16 tff(13781,plain,
% 8.56/6.16 ((~![B: $i] : ((~less_3(B)) | (v121(constB47, B) <=> v124(constB47, B)))) | ((~less_3(bitIndex2)) | (v121(constB47, bitIndex2) <=> v124(constB47, bitIndex2)))),
% 8.56/6.16 inference(quant_inst,[status(thm)],[])).
% 8.56/6.16 tff(13782,plain,
% 8.56/6.16 ((~![B: $i] : ((~less_3(B)) | (v121(constB47, B) <=> v124(constB47, B)))) | (~less_3(bitIndex2)) | (v121(constB47, bitIndex2) <=> v124(constB47, bitIndex2))),
% 8.56/6.16 inference(modus_ponens,[status(thm)],[13781, 13780])).
% 8.56/6.16 tff(13783,plain,
% 8.56/6.16 (v121(constB47, bitIndex2) <=> v124(constB47, bitIndex2)),
% 8.56/6.16 inference(unit_resolution,[status(thm)],[13782, 832, 13779])).
% 8.56/6.16 tff(13784,plain,
% 8.56/6.16 (((~![VarCurr: $i] : ((~v118(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b110(B))))) | ((~v118(constB47)) | ![B: $i] : ((~less_3(B)) | (v124(constB47, B) <=> b110(B))))) <=> ((~![VarCurr: $i] : ((~v118(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b110(B))))) | (~v118(constB47)) | ![B: $i] : ((~less_3(B)) | (v124(constB47, B) <=> b110(B))))),
% 8.56/6.16 inference(rewrite,[status(thm)],[])).
% 8.56/6.16 tff(13785,plain,
% 8.56/6.16 ((~![VarCurr: $i] : ((~v118(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b110(B))))) | ((~v118(constB47)) | ![B: $i] : ((~less_3(B)) | (v124(constB47, B) <=> b110(B))))),
% 8.56/6.16 inference(quant_inst,[status(thm)],[])).
% 8.56/6.16 tff(13786,plain,
% 8.56/6.16 ((~![VarCurr: $i] : ((~v118(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b110(B))))) | (~v118(constB47)) | ![B: $i] : ((~less_3(B)) | (v124(constB47, B) <=> b110(B)))),
% 8.56/6.16 inference(modus_ponens,[status(thm)],[13785, 13784])).
% 8.56/6.16 tff(13787,plain,
% 8.56/6.16 ((~v118(constB47)) | ![B: $i] : ((~less_3(B)) | (v124(constB47, B) <=> b110(B)))),
% 8.56/6.16 inference(unit_resolution,[status(thm)],[13786, 10845])).
% 8.56/6.16 tff(13788,plain,
% 8.56/6.16 (![B: $i] : ((~less_3(B)) | (v124(constB47, B) <=> b110(B)))),
% 8.56/6.16 inference(unit_resolution,[status(thm)],[13787, 13723])).
% 8.56/6.16 tff(13789,plain,
% 8.56/6.16 (((~![B: $i] : ((~less_3(B)) | (v124(constB47, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v124(constB47, bitIndex2) <=> b110(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB47, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v124(constB47, bitIndex2) <=> b110(bitIndex2)))),
% 8.56/6.16 inference(rewrite,[status(thm)],[])).
% 8.56/6.16 tff(13790,plain,
% 8.56/6.16 ((~![B: $i] : ((~less_3(B)) | (v124(constB47, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v124(constB47, bitIndex2) <=> b110(bitIndex2)))),
% 8.56/6.16 inference(quant_inst,[status(thm)],[])).
% 8.56/6.16 tff(13791,plain,
% 8.56/6.16 ((~![B: $i] : ((~less_3(B)) | (v124(constB47, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v124(constB47, bitIndex2) <=> b110(bitIndex2))),
% 8.56/6.16 inference(modus_ponens,[status(thm)],[13790, 13789])).
% 8.56/6.16 tff(13792,plain,
% 8.56/6.16 (v124(constB47, bitIndex2) <=> b110(bitIndex2)),
% 8.56/6.16 inference(unit_resolution,[status(thm)],[13791, 832, 13788])).
% 8.56/6.16 tff(13793,plain,
% 8.56/6.16 ((~(v124(constB47, bitIndex2) <=> b110(bitIndex2))) | v124(constB47, bitIndex2) | (~b110(bitIndex2))),
% 8.56/6.16 inference(tautology,[status(thm)],[])).
% 8.56/6.16 tff(13794,plain,
% 8.56/6.16 ((~(v124(constB47, bitIndex2) <=> b110(bitIndex2))) | v124(constB47, bitIndex2)),
% 8.56/6.16 inference(unit_resolution,[status(thm)],[13793, 10857])).
% 8.56/6.16 tff(13795,plain,
% 8.56/6.16 (v124(constB47, bitIndex2)),
% 8.56/6.16 inference(unit_resolution,[status(thm)],[13794, 13792])).
% 8.56/6.16 tff(13796,plain,
% 8.56/6.16 ((~(v121(constB47, bitIndex2) <=> v124(constB47, bitIndex2))) | v121(constB47, bitIndex2) | (~v124(constB47, bitIndex2))),
% 8.56/6.16 inference(tautology,[status(thm)],[])).
% 8.56/6.16 tff(13797,plain,
% 8.56/6.16 (v121(constB47, bitIndex2)),
% 8.56/6.16 inference(unit_resolution,[status(thm)],[13796, 13795, 13783])).
% 8.56/6.16 tff(13798,plain,
% 8.56/6.16 ((~(v123(constB48, bitIndex2) <=> v121(constB47, bitIndex2))) | v123(constB48, bitIndex2) | (~v121(constB47, bitIndex2))),
% 8.56/6.16 inference(tautology,[status(thm)],[])).
% 8.56/6.16 tff(13799,plain,
% 8.56/6.16 (v123(constB48, bitIndex2)),
% 8.56/6.16 inference(unit_resolution,[status(thm)],[13798, 13797, 13775])).
% 8.56/6.16 tff(13800,plain,
% 8.56/6.16 ((~(v84(constB48, bitIndex2) <=> v123(constB48, bitIndex2))) | v84(constB48, bitIndex2) | (~v123(constB48, bitIndex2))),
% 8.56/6.16 inference(tautology,[status(thm)],[])).
% 8.56/6.16 tff(13801,plain,
% 8.56/6.16 (v84(constB48, bitIndex2)),
% 8.56/6.16 inference(unit_resolution,[status(thm)],[13800, 13799, 13767])).
% 8.56/6.16 tff(13802,plain,
% 8.56/6.16 ((~(v84(constB49, bitIndex2) <=> v84(constB48, bitIndex2))) | v84(constB49, bitIndex2) | (~v84(constB48, bitIndex2))),
% 8.56/6.16 inference(tautology,[status(thm)],[])).
% 8.56/6.16 tff(13803,plain,
% 8.56/6.16 (v84(constB49, bitIndex2)),
% 8.56/6.16 inference(unit_resolution,[status(thm)],[13802, 13801, 7567])).
% 8.56/6.16 tff(13804,plain,
% 8.56/6.16 (((~![B: $i] : ((~less_3(B)) | (v84(constB49, B) <=> v84(constB48, B)))) | ((~less_3(bitIndex0)) | (v84(constB49, bitIndex0) <=> v84(constB48, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB49, B) <=> v84(constB48, B)))) | (~less_3(bitIndex0)) | (v84(constB49, bitIndex0) <=> v84(constB48, bitIndex0)))),
% 8.56/6.16 inference(rewrite,[status(thm)],[])).
% 8.56/6.16 tff(13805,plain,
% 8.56/6.16 ((~![B: $i] : ((~less_3(B)) | (v84(constB49, B) <=> v84(constB48, B)))) | ((~less_3(bitIndex0)) | (v84(constB49, bitIndex0) <=> v84(constB48, bitIndex0)))),
% 8.56/6.16 inference(quant_inst,[status(thm)],[])).
% 8.56/6.16 tff(13806,plain,
% 8.56/6.16 ((~![B: $i] : ((~less_3(B)) | (v84(constB49, B) <=> v84(constB48, B)))) | (~less_3(bitIndex0)) | (v84(constB49, bitIndex0) <=> v84(constB48, bitIndex0))),
% 8.56/6.16 inference(modus_ponens,[status(thm)],[13805, 13804])).
% 8.56/6.16 tff(13807,plain,
% 8.56/6.16 (v84(constB49, bitIndex0) <=> v84(constB48, bitIndex0)),
% 8.56/6.16 inference(unit_resolution,[status(thm)],[13806, 9772, 7563])).
% 8.56/6.16 tff(13808,plain,
% 8.56/6.16 (((~![B: $i] : ((~less_3(B)) | (v84(constB48, B) <=> v123(constB48, B)))) | ((~less_3(bitIndex0)) | (v84(constB48, bitIndex0) <=> v123(constB48, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB48, B) <=> v123(constB48, B)))) | (~less_3(bitIndex0)) | (v84(constB48, bitIndex0) <=> v123(constB48, bitIndex0)))),
% 8.56/6.16 inference(rewrite,[status(thm)],[])).
% 8.56/6.16 tff(13809,plain,
% 8.56/6.16 ((~![B: $i] : ((~less_3(B)) | (v84(constB48, B) <=> v123(constB48, B)))) | ((~less_3(bitIndex0)) | (v84(constB48, bitIndex0) <=> v123(constB48, bitIndex0)))),
% 8.56/6.16 inference(quant_inst,[status(thm)],[])).
% 8.56/6.16 tff(13810,plain,
% 8.56/6.16 ((~![B: $i] : ((~less_3(B)) | (v84(constB48, B) <=> v123(constB48, B)))) | (~less_3(bitIndex0)) | (v84(constB48, bitIndex0) <=> v123(constB48, bitIndex0))),
% 8.56/6.16 inference(modus_ponens,[status(thm)],[13809, 13808])).
% 8.56/6.16 tff(13811,plain,
% 8.56/6.16 (v84(constB48, bitIndex0) <=> v123(constB48, bitIndex0)),
% 8.56/6.16 inference(unit_resolution,[status(thm)],[13810, 9772, 13763])).
% 8.56/6.16 tff(13812,plain,
% 8.56/6.16 (((~![B: $i] : ((~less_3(B)) | (v123(constB48, B) <=> v121(constB47, B)))) | ((~less_3(bitIndex0)) | (v123(constB48, bitIndex0) <=> v121(constB47, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB48, B) <=> v121(constB47, B)))) | (~less_3(bitIndex0)) | (v123(constB48, bitIndex0) <=> v121(constB47, bitIndex0)))),
% 8.56/6.16 inference(rewrite,[status(thm)],[])).
% 8.56/6.16 tff(13813,plain,
% 8.56/6.16 ((~![B: $i] : ((~less_3(B)) | (v123(constB48, B) <=> v121(constB47, B)))) | ((~less_3(bitIndex0)) | (v123(constB48, bitIndex0) <=> v121(constB47, bitIndex0)))),
% 8.56/6.16 inference(quant_inst,[status(thm)],[])).
% 8.56/6.16 tff(13814,plain,
% 8.56/6.16 ((~![B: $i] : ((~less_3(B)) | (v123(constB48, B) <=> v121(constB47, B)))) | (~less_3(bitIndex0)) | (v123(constB48, bitIndex0) <=> v121(constB47, bitIndex0))),
% 8.56/6.16 inference(modus_ponens,[status(thm)],[13813, 13812])).
% 8.56/6.16 tff(13815,plain,
% 8.56/6.16 (v123(constB48, bitIndex0) <=> v121(constB47, bitIndex0)),
% 8.56/6.16 inference(unit_resolution,[status(thm)],[13814, 9772, 13771])).
% 8.56/6.16 tff(13816,plain,
% 8.56/6.16 (((~![B: $i] : ((~less_3(B)) | (v121(constB47, B) <=> v124(constB47, B)))) | ((~less_3(bitIndex0)) | (v121(constB47, bitIndex0) <=> v124(constB47, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB47, B) <=> v124(constB47, B)))) | (~less_3(bitIndex0)) | (v121(constB47, bitIndex0) <=> v124(constB47, bitIndex0)))),
% 8.56/6.16 inference(rewrite,[status(thm)],[])).
% 8.56/6.16 tff(13817,plain,
% 8.56/6.16 ((~![B: $i] : ((~less_3(B)) | (v121(constB47, B) <=> v124(constB47, B)))) | ((~less_3(bitIndex0)) | (v121(constB47, bitIndex0) <=> v124(constB47, bitIndex0)))),
% 8.56/6.16 inference(quant_inst,[status(thm)],[])).
% 8.56/6.16 tff(13818,plain,
% 8.56/6.16 ((~![B: $i] : ((~less_3(B)) | (v121(constB47, B) <=> v124(constB47, B)))) | (~less_3(bitIndex0)) | (v121(constB47, bitIndex0) <=> v124(constB47, bitIndex0))),
% 8.56/6.16 inference(modus_ponens,[status(thm)],[13817, 13816])).
% 8.56/6.16 tff(13819,plain,
% 8.56/6.16 (v121(constB47, bitIndex0) <=> v124(constB47, bitIndex0)),
% 8.56/6.16 inference(unit_resolution,[status(thm)],[13818, 9772, 13779])).
% 8.56/6.16 tff(13820,plain,
% 8.56/6.16 (((~![B: $i] : ((~less_3(B)) | (v124(constB47, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v124(constB47, bitIndex0) <=> b110(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB47, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v124(constB47, bitIndex0) <=> b110(bitIndex0)))),
% 8.56/6.16 inference(rewrite,[status(thm)],[])).
% 8.56/6.16 tff(13821,plain,
% 8.56/6.16 ((~![B: $i] : ((~less_3(B)) | (v124(constB47, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v124(constB47, bitIndex0) <=> b110(bitIndex0)))),
% 8.56/6.16 inference(quant_inst,[status(thm)],[])).
% 8.56/6.16 tff(13822,plain,
% 8.56/6.16 ((~![B: $i] : ((~less_3(B)) | (v124(constB47, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v124(constB47, bitIndex0) <=> b110(bitIndex0))),
% 8.56/6.16 inference(modus_ponens,[status(thm)],[13821, 13820])).
% 8.56/6.16 tff(13823,plain,
% 8.56/6.16 (v124(constB47, bitIndex0) <=> b110(bitIndex0)),
% 8.56/6.16 inference(unit_resolution,[status(thm)],[13822, 9772, 13788])).
% 8.56/6.16 tff(13824,plain,
% 8.56/6.16 ((~(v124(constB47, bitIndex0) <=> b110(bitIndex0))) | (~v124(constB47, bitIndex0)) | b110(bitIndex0)),
% 8.56/6.16 inference(tautology,[status(thm)],[])).
% 8.56/6.16 tff(13825,plain,
% 8.56/6.16 ((~(v124(constB47, bitIndex0) <=> b110(bitIndex0))) | (~v124(constB47, bitIndex0))),
% 8.56/6.16 inference(unit_resolution,[status(thm)],[13824, 10891])).
% 8.56/6.16 tff(13826,plain,
% 8.56/6.16 (~v124(constB47, bitIndex0)),
% 8.56/6.16 inference(unit_resolution,[status(thm)],[13825, 13823])).
% 8.56/6.16 tff(13827,plain,
% 8.56/6.16 ((~(v121(constB47, bitIndex0) <=> v124(constB47, bitIndex0))) | (~v121(constB47, bitIndex0)) | v124(constB47, bitIndex0)),
% 8.56/6.16 inference(tautology,[status(thm)],[])).
% 8.56/6.16 tff(13828,plain,
% 8.56/6.16 (~v121(constB47, bitIndex0)),
% 8.56/6.16 inference(unit_resolution,[status(thm)],[13827, 13826, 13819])).
% 8.56/6.16 tff(13829,plain,
% 8.56/6.16 ((~(v123(constB48, bitIndex0) <=> v121(constB47, bitIndex0))) | (~v123(constB48, bitIndex0)) | v121(constB47, bitIndex0)),
% 8.56/6.16 inference(tautology,[status(thm)],[])).
% 8.56/6.16 tff(13830,plain,
% 8.56/6.16 (~v123(constB48, bitIndex0)),
% 8.56/6.16 inference(unit_resolution,[status(thm)],[13829, 13828, 13815])).
% 8.56/6.16 tff(13831,plain,
% 8.56/6.16 ((~(v84(constB48, bitIndex0) <=> v123(constB48, bitIndex0))) | (~v84(constB48, bitIndex0)) | v123(constB48, bitIndex0)),
% 8.56/6.16 inference(tautology,[status(thm)],[])).
% 8.56/6.16 tff(13832,plain,
% 8.56/6.16 (~v84(constB48, bitIndex0)),
% 8.56/6.16 inference(unit_resolution,[status(thm)],[13831, 13830, 13811])).
% 8.56/6.16 tff(13833,plain,
% 8.56/6.16 ((~(v84(constB49, bitIndex0) <=> v84(constB48, bitIndex0))) | (~v84(constB49, bitIndex0)) | v84(constB48, bitIndex0)),
% 8.56/6.16 inference(tautology,[status(thm)],[])).
% 8.56/6.16 tff(13834,plain,
% 8.56/6.16 (~v84(constB49, bitIndex0)),
% 8.56/6.16 inference(unit_resolution,[status(thm)],[13833, 13832, 13807])).
% 8.56/6.16 tff(13835,plain,
% 8.56/6.16 (((~![B: $i] : ((~less_3(B)) | (v84(constB49, B) <=> v84(constB48, B)))) | ((~less_3(bitIndex1)) | (v84(constB49, bitIndex1) <=> v84(constB48, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB49, B) <=> v84(constB48, B)))) | (~less_3(bitIndex1)) | (v84(constB49, bitIndex1) <=> v84(constB48, bitIndex1)))),
% 8.56/6.16 inference(rewrite,[status(thm)],[])).
% 8.56/6.16 tff(13836,plain,
% 8.56/6.16 ((~![B: $i] : ((~less_3(B)) | (v84(constB49, B) <=> v84(constB48, B)))) | ((~less_3(bitIndex1)) | (v84(constB49, bitIndex1) <=> v84(constB48, bitIndex1)))),
% 8.56/6.16 inference(quant_inst,[status(thm)],[])).
% 8.56/6.16 tff(13837,plain,
% 8.56/6.16 ((~![B: $i] : ((~less_3(B)) | (v84(constB49, B) <=> v84(constB48, B)))) | (~less_3(bitIndex1)) | (v84(constB49, bitIndex1) <=> v84(constB48, bitIndex1))),
% 8.56/6.16 inference(modus_ponens,[status(thm)],[13836, 13835])).
% 8.56/6.16 tff(13838,plain,
% 8.56/6.16 (v84(constB49, bitIndex1) <=> v84(constB48, bitIndex1)),
% 8.56/6.16 inference(unit_resolution,[status(thm)],[13837, 9785, 7563])).
% 8.56/6.16 tff(13839,plain,
% 8.56/6.16 (((~![B: $i] : ((~less_3(B)) | (v84(constB48, B) <=> v123(constB48, B)))) | ((~less_3(bitIndex1)) | (v84(constB48, bitIndex1) <=> v123(constB48, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB48, B) <=> v123(constB48, B)))) | (~less_3(bitIndex1)) | (v84(constB48, bitIndex1) <=> v123(constB48, bitIndex1)))),
% 8.56/6.16 inference(rewrite,[status(thm)],[])).
% 8.56/6.16 tff(13840,plain,
% 8.56/6.16 ((~![B: $i] : ((~less_3(B)) | (v84(constB48, B) <=> v123(constB48, B)))) | ((~less_3(bitIndex1)) | (v84(constB48, bitIndex1) <=> v123(constB48, bitIndex1)))),
% 8.56/6.16 inference(quant_inst,[status(thm)],[])).
% 8.56/6.16 tff(13841,plain,
% 8.56/6.16 ((~![B: $i] : ((~less_3(B)) | (v84(constB48, B) <=> v123(constB48, B)))) | (~less_3(bitIndex1)) | (v84(constB48, bitIndex1) <=> v123(constB48, bitIndex1))),
% 8.56/6.16 inference(modus_ponens,[status(thm)],[13840, 13839])).
% 8.56/6.16 tff(13842,plain,
% 8.56/6.16 (v84(constB48, bitIndex1) <=> v123(constB48, bitIndex1)),
% 8.56/6.16 inference(unit_resolution,[status(thm)],[13841, 9785, 13763])).
% 8.56/6.16 tff(13843,plain,
% 8.56/6.16 (((~![B: $i] : ((~less_3(B)) | (v123(constB48, B) <=> v121(constB47, B)))) | ((~less_3(bitIndex1)) | (v123(constB48, bitIndex1) <=> v121(constB47, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB48, B) <=> v121(constB47, B)))) | (~less_3(bitIndex1)) | (v123(constB48, bitIndex1) <=> v121(constB47, bitIndex1)))),
% 8.56/6.16 inference(rewrite,[status(thm)],[])).
% 8.56/6.16 tff(13844,plain,
% 8.56/6.16 ((~![B: $i] : ((~less_3(B)) | (v123(constB48, B) <=> v121(constB47, B)))) | ((~less_3(bitIndex1)) | (v123(constB48, bitIndex1) <=> v121(constB47, bitIndex1)))),
% 8.56/6.16 inference(quant_inst,[status(thm)],[])).
% 8.56/6.16 tff(13845,plain,
% 8.56/6.16 ((~![B: $i] : ((~less_3(B)) | (v123(constB48, B) <=> v121(constB47, B)))) | (~less_3(bitIndex1)) | (v123(constB48, bitIndex1) <=> v121(constB47, bitIndex1))),
% 8.56/6.16 inference(modus_ponens,[status(thm)],[13844, 13843])).
% 8.56/6.16 tff(13846,plain,
% 8.56/6.16 (v123(constB48, bitIndex1) <=> v121(constB47, bitIndex1)),
% 8.56/6.16 inference(unit_resolution,[status(thm)],[13845, 9785, 13771])).
% 8.56/6.16 tff(13847,plain,
% 8.56/6.16 (((~![B: $i] : ((~less_3(B)) | (v121(constB47, B) <=> v124(constB47, B)))) | ((~less_3(bitIndex1)) | (v121(constB47, bitIndex1) <=> v124(constB47, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB47, B) <=> v124(constB47, B)))) | (~less_3(bitIndex1)) | (v121(constB47, bitIndex1) <=> v124(constB47, bitIndex1)))),
% 8.56/6.16 inference(rewrite,[status(thm)],[])).
% 8.56/6.16 tff(13848,plain,
% 8.56/6.16 ((~![B: $i] : ((~less_3(B)) | (v121(constB47, B) <=> v124(constB47, B)))) | ((~less_3(bitIndex1)) | (v121(constB47, bitIndex1) <=> v124(constB47, bitIndex1)))),
% 8.56/6.16 inference(quant_inst,[status(thm)],[])).
% 8.56/6.16 tff(13849,plain,
% 8.56/6.16 ((~![B: $i] : ((~less_3(B)) | (v121(constB47, B) <=> v124(constB47, B)))) | (~less_3(bitIndex1)) | (v121(constB47, bitIndex1) <=> v124(constB47, bitIndex1))),
% 8.56/6.16 inference(modus_ponens,[status(thm)],[13848, 13847])).
% 8.56/6.16 tff(13850,plain,
% 8.56/6.16 (v121(constB47, bitIndex1) <=> v124(constB47, bitIndex1)),
% 8.56/6.16 inference(unit_resolution,[status(thm)],[13849, 9785, 13779])).
% 8.56/6.16 tff(13851,plain,
% 8.56/6.16 (((~![B: $i] : ((~less_3(B)) | (v124(constB47, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v124(constB47, bitIndex1) <=> b110(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB47, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v124(constB47, bitIndex1) <=> b110(bitIndex1)))),
% 8.56/6.16 inference(rewrite,[status(thm)],[])).
% 8.56/6.16 tff(13852,plain,
% 8.56/6.16 ((~![B: $i] : ((~less_3(B)) | (v124(constB47, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v124(constB47, bitIndex1) <=> b110(bitIndex1)))),
% 8.56/6.16 inference(quant_inst,[status(thm)],[])).
% 8.56/6.16 tff(13853,plain,
% 8.56/6.16 ((~![B: $i] : ((~less_3(B)) | (v124(constB47, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v124(constB47, bitIndex1) <=> b110(bitIndex1))),
% 8.56/6.16 inference(modus_ponens,[status(thm)],[13852, 13851])).
% 8.56/6.16 tff(13854,plain,
% 8.56/6.16 (v124(constB47, bitIndex1) <=> b110(bitIndex1)),
% 8.56/6.16 inference(unit_resolution,[status(thm)],[13853, 9785, 13788])).
% 8.56/6.16 tff(13855,plain,
% 8.56/6.16 ((~(v124(constB47, bitIndex1) <=> b110(bitIndex1))) | v124(constB47, bitIndex1) | (~b110(bitIndex1))),
% 8.56/6.16 inference(tautology,[status(thm)],[])).
% 8.56/6.16 tff(13856,plain,
% 8.56/6.16 ((~(v124(constB47, bitIndex1) <=> b110(bitIndex1))) | v124(constB47, bitIndex1)),
% 8.56/6.16 inference(unit_resolution,[status(thm)],[13855, 10925])).
% 8.56/6.16 tff(13857,plain,
% 8.56/6.16 (v124(constB47, bitIndex1)),
% 8.56/6.16 inference(unit_resolution,[status(thm)],[13856, 13854])).
% 8.56/6.16 tff(13858,plain,
% 8.56/6.16 ((~(v121(constB47, bitIndex1) <=> v124(constB47, bitIndex1))) | v121(constB47, bitIndex1) | (~v124(constB47, bitIndex1))),
% 8.56/6.16 inference(tautology,[status(thm)],[])).
% 8.56/6.16 tff(13859,plain,
% 8.56/6.16 (v121(constB47, bitIndex1)),
% 8.56/6.16 inference(unit_resolution,[status(thm)],[13858, 13857, 13850])).
% 8.56/6.16 tff(13860,plain,
% 8.56/6.16 ((~(v123(constB48, bitIndex1) <=> v121(constB47, bitIndex1))) | v123(constB48, bitIndex1) | (~v121(constB47, bitIndex1))),
% 8.56/6.16 inference(tautology,[status(thm)],[])).
% 8.56/6.16 tff(13861,plain,
% 8.56/6.16 (v123(constB48, bitIndex1)),
% 8.56/6.16 inference(unit_resolution,[status(thm)],[13860, 13859, 13846])).
% 8.56/6.16 tff(13862,plain,
% 8.56/6.16 ((~(v84(constB48, bitIndex1) <=> v123(constB48, bitIndex1))) | v84(constB48, bitIndex1) | (~v123(constB48, bitIndex1))),
% 8.56/6.16 inference(tautology,[status(thm)],[])).
% 8.56/6.16 tff(13863,plain,
% 8.56/6.16 (v84(constB48, bitIndex1)),
% 8.56/6.16 inference(unit_resolution,[status(thm)],[13862, 13861, 13842])).
% 8.56/6.16 tff(13864,plain,
% 8.56/6.16 ((~(v84(constB49, bitIndex1) <=> v84(constB48, bitIndex1))) | v84(constB49, bitIndex1) | (~v84(constB48, bitIndex1))),
% 8.56/6.16 inference(tautology,[status(thm)],[])).
% 8.56/6.16 tff(13865,plain,
% 8.56/6.16 (v84(constB49, bitIndex1)),
% 8.56/6.16 inference(unit_resolution,[status(thm)],[13864, 13863, 13838])).
% 8.56/6.16 tff(13866,plain,
% 8.56/6.16 ((~((~v84(constB49, bitIndex2)) | (~v84(constB49, bitIndex1)) | v84(constB49, bitIndex0))) | (~v84(constB49, bitIndex2)) | (~v84(constB49, bitIndex1)) | v84(constB49, bitIndex0)),
% 8.56/6.16 inference(tautology,[status(thm)],[])).
% 8.56/6.16 tff(13867,plain,
% 8.56/6.16 (~((~v84(constB49, bitIndex2)) | (~v84(constB49, bitIndex1)) | v84(constB49, bitIndex0))),
% 8.56/6.16 inference(unit_resolution,[status(thm)],[13866, 13865, 13834, 13803])).
% 8.56/6.16 tff(13868,plain,
% 8.56/6.16 ((~(v119(constB49) <=> (~((~v84(constB49, bitIndex2)) | (~v84(constB49, bitIndex1)) | v84(constB49, bitIndex0))))) | v119(constB49) | ((~v84(constB49, bitIndex2)) | (~v84(constB49, bitIndex1)) | v84(constB49, bitIndex0))),
% 8.56/6.16 inference(tautology,[status(thm)],[])).
% 8.56/6.16 tff(13869,plain,
% 8.56/6.16 (v119(constB49)),
% 8.56/6.16 inference(unit_resolution,[status(thm)],[13868, 13867, 7535])).
% 8.56/6.16 tff(13870,plain,
% 8.56/6.16 ((v108(constB49) | v119(constB49)) | (~v119(constB49))),
% 8.56/6.16 inference(tautology,[status(thm)],[])).
% 8.56/6.16 tff(13871,plain,
% 8.56/6.16 (v108(constB49) | v119(constB49)),
% 8.56/6.16 inference(unit_resolution,[status(thm)],[13870, 13869])).
% 8.56/6.16 tff(13872,plain,
% 8.56/6.16 ((~(v107(constB49) <=> (v108(constB49) | v119(constB49)))) | v107(constB49) | (~(v108(constB49) | v119(constB49)))),
% 8.56/6.16 inference(tautology,[status(thm)],[])).
% 8.56/6.16 tff(13873,plain,
% 8.56/6.16 (v107(constB49)),
% 8.56/6.16 inference(unit_resolution,[status(thm)],[13872, 13871, 7528])).
% 8.56/6.16 tff(13874,plain,
% 8.56/6.16 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB49)) <=> v105(constB49))),
% 8.56/6.16 inference(quant_inst,[status(thm)],[])).
% 8.56/6.16 tff(13875,plain,
% 8.56/6.16 ((~v120(constB49)) <=> v105(constB49)),
% 8.56/6.16 inference(unit_resolution,[status(thm)],[13874, 9842])).
% 8.56/6.16 tff(13876,plain,
% 8.56/6.16 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB49) <=> v26(constB49))),
% 8.56/6.16 inference(quant_inst,[status(thm)],[])).
% 8.56/6.16 tff(13877,plain,
% 8.56/6.16 (v105(constB49) <=> v26(constB49)),
% 8.56/6.16 inference(unit_resolution,[status(thm)],[13876, 9854])).
% 8.56/6.16 tff(13878,plain,
% 8.56/6.16 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB49))),
% 8.56/6.16 inference(quant_inst,[status(thm)],[])).
% 8.56/6.16 tff(13879,plain,
% 8.56/6.16 (~v26(constB49)),
% 8.56/6.16 inference(unit_resolution,[status(thm)],[13878, 9866])).
% 8.56/6.16 tff(13880,plain,
% 8.56/6.16 ((~(v105(constB49) <=> v26(constB49))) | (~v105(constB49)) | v26(constB49)),
% 8.56/6.16 inference(tautology,[status(thm)],[])).
% 8.56/6.16 tff(13881,plain,
% 8.56/6.16 ((~(v105(constB49) <=> v26(constB49))) | (~v105(constB49))),
% 8.56/6.16 inference(unit_resolution,[status(thm)],[13880, 13879])).
% 8.56/6.16 tff(13882,plain,
% 8.56/6.16 (~v105(constB49)),
% 8.56/6.16 inference(unit_resolution,[status(thm)],[13881, 13877])).
% 8.56/6.16 tff(13883,plain,
% 8.56/6.16 ((~((~v120(constB49)) <=> v105(constB49))) | v120(constB49) | v105(constB49)),
% 8.56/6.16 inference(tautology,[status(thm)],[])).
% 8.56/6.16 tff(13884,plain,
% 8.56/6.16 ((~((~v120(constB49)) <=> v105(constB49))) | v120(constB49)),
% 8.56/6.16 inference(unit_resolution,[status(thm)],[13883, 13882])).
% 8.56/6.16 tff(13885,plain,
% 8.56/6.16 (v120(constB49)),
% 8.56/6.16 inference(unit_resolution,[status(thm)],[13884, 13875])).
% 8.56/6.16 tff(13886,plain,
% 8.56/6.16 ((~((~v107(constB49)) | (~v120(constB49)))) | (~v107(constB49)) | (~v120(constB49))),
% 8.56/6.16 inference(tautology,[status(thm)],[])).
% 8.56/6.16 tff(13887,plain,
% 8.56/6.16 ((~((~v107(constB49)) | (~v120(constB49)))) | (~v107(constB49))),
% 8.56/6.16 inference(unit_resolution,[status(thm)],[13886, 13885])).
% 8.56/6.16 tff(13888,plain,
% 8.56/6.16 (~((~v107(constB49)) | (~v120(constB49)))),
% 8.56/6.16 inference(unit_resolution,[status(thm)],[13887, 13873])).
% 8.56/6.16 tff(13889,plain,
% 8.56/6.16 ((~(v106(constB49) <=> (~((~v107(constB49)) | (~v120(constB49)))))) | v106(constB49) | ((~v107(constB49)) | (~v120(constB49)))),
% 8.56/6.16 inference(tautology,[status(thm)],[])).
% 8.56/6.16 tff(13890,plain,
% 8.56/6.16 (v106(constB49)),
% 8.56/6.16 inference(unit_resolution,[status(thm)],[13889, 13888, 7526])).
% 8.56/6.16 tff(13891,plain,
% 8.56/6.16 ((v105(constB49) | v106(constB49)) | (~v106(constB49))),
% 8.56/6.16 inference(tautology,[status(thm)],[])).
% 8.56/6.16 tff(13892,plain,
% 8.56/6.16 (v105(constB49) | v106(constB49)),
% 8.56/6.16 inference(unit_resolution,[status(thm)],[13891, 13890])).
% 8.56/6.16 tff(13893,plain,
% 8.56/6.16 ((~(v102(constB49) <=> (v105(constB49) | v106(constB49)))) | v102(constB49) | (~(v105(constB49) | v106(constB49)))),
% 8.56/6.16 inference(tautology,[status(thm)],[])).
% 8.56/6.16 tff(13894,plain,
% 8.56/6.16 (v102(constB49)),
% 8.56/6.16 inference(unit_resolution,[status(thm)],[13893, 13892, 7524])).
% 8.56/6.16 tff(13895,plain,
% 8.56/6.16 ((~(v104(constB50) <=> v102(constB49))) | v104(constB50) | (~v102(constB49))),
% 8.56/6.16 inference(tautology,[status(thm)],[])).
% 8.56/6.16 tff(13896,plain,
% 8.56/6.16 (v104(constB50)),
% 8.56/6.16 inference(unit_resolution,[status(thm)],[13895, 13894, 7522])).
% 8.56/6.16 tff(13897,plain,
% 8.56/6.16 ((~((~v104(constB50)) | (~v95(constB50)))) | (~v104(constB50)) | (~v95(constB50))),
% 8.56/6.16 inference(tautology,[status(thm)],[])).
% 8.56/6.16 tff(13898,plain,
% 8.56/6.16 (~((~v104(constB50)) | (~v95(constB50)))),
% 8.56/6.16 inference(unit_resolution,[status(thm)],[13897, 13896, 7518])).
% 8.56/6.16 tff(13899,plain,
% 8.56/6.16 ((~(v94(constB50) <=> (~((~v104(constB50)) | (~v95(constB50)))))) | v94(constB50) | ((~v104(constB50)) | (~v95(constB50)))),
% 8.56/6.16 inference(tautology,[status(thm)],[])).
% 8.56/6.16 tff(13900,plain,
% 8.56/6.16 (v94(constB50)),
% 8.56/6.16 inference(unit_resolution,[status(thm)],[13899, 13898, 7487])).
% 8.56/6.16 tff(13901,plain,
% 8.56/6.16 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB50)) | ![B: $i] : ((~less_3(B)) | (v84(constB50, B) <=> v123(constB50, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB50)) | ![B: $i] : ((~less_3(B)) | (v84(constB50, B) <=> v123(constB50, B))))),
% 8.56/6.16 inference(rewrite,[status(thm)],[])).
% 8.56/6.16 tff(13902,plain,
% 8.56/6.16 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB50)) | ![B: $i] : ((~less_3(B)) | (v84(constB50, B) <=> v123(constB50, B))))),
% 8.56/6.16 inference(quant_inst,[status(thm)],[])).
% 8.56/6.16 tff(13903,plain,
% 8.56/6.16 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB50)) | ![B: $i] : ((~less_3(B)) | (v84(constB50, B) <=> v123(constB50, B)))),
% 8.56/6.16 inference(modus_ponens,[status(thm)],[13902, 13901])).
% 8.56/6.16 tff(13904,plain,
% 8.56/6.16 ((~v94(constB50)) | ![B: $i] : ((~less_3(B)) | (v84(constB50, B) <=> v123(constB50, B)))),
% 8.56/6.16 inference(unit_resolution,[status(thm)],[13903, 9902])).
% 8.56/6.16 tff(13905,plain,
% 8.56/6.16 (![B: $i] : ((~less_3(B)) | (v84(constB50, B) <=> v123(constB50, B)))),
% 8.56/6.16 inference(unit_resolution,[status(thm)],[13904, 13900])).
% 8.56/6.16 tff(13906,plain,
% 8.56/6.16 (((~![B: $i] : ((~less_3(B)) | (v84(constB50, B) <=> v123(constB50, B)))) | ((~less_3(bitIndex2)) | (v84(constB50, bitIndex2) <=> v123(constB50, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB50, B) <=> v123(constB50, B)))) | (~less_3(bitIndex2)) | (v84(constB50, bitIndex2) <=> v123(constB50, bitIndex2)))),
% 8.56/6.16 inference(rewrite,[status(thm)],[])).
% 8.56/6.16 tff(13907,plain,
% 8.56/6.16 ((~![B: $i] : ((~less_3(B)) | (v84(constB50, B) <=> v123(constB50, B)))) | ((~less_3(bitIndex2)) | (v84(constB50, bitIndex2) <=> v123(constB50, bitIndex2)))),
% 8.56/6.16 inference(quant_inst,[status(thm)],[])).
% 8.56/6.16 tff(13908,plain,
% 8.56/6.16 ((~![B: $i] : ((~less_3(B)) | (v84(constB50, B) <=> v123(constB50, B)))) | (~less_3(bitIndex2)) | (v84(constB50, bitIndex2) <=> v123(constB50, bitIndex2))),
% 8.56/6.16 inference(modus_ponens,[status(thm)],[13907, 13906])).
% 8.56/6.16 tff(13909,plain,
% 8.56/6.16 (v84(constB50, bitIndex2) <=> v123(constB50, bitIndex2)),
% 8.56/6.16 inference(unit_resolution,[status(thm)],[13908, 832, 13905])).
% 8.56/6.16 tff(13910,plain,
% 8.56/6.16 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB49, constB50)) | ![B: $i] : ((~less_3(B)) | (v123(constB50, B) <=> v121(constB49, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB49, constB50)) | ![B: $i] : ((~less_3(B)) | (v123(constB50, B) <=> v121(constB49, B))))),
% 8.56/6.16 inference(rewrite,[status(thm)],[])).
% 8.56/6.16 tff(13911,plain,
% 8.56/6.16 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB49, constB50)) | ![B: $i] : ((~less_3(B)) | (v123(constB50, B) <=> v121(constB49, B))))),
% 8.56/6.16 inference(quant_inst,[status(thm)],[])).
% 8.56/6.16 tff(13912,plain,
% 8.56/6.16 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB49, constB50)) | ![B: $i] : ((~less_3(B)) | (v123(constB50, B) <=> v121(constB49, B)))),
% 8.56/6.16 inference(modus_ponens,[status(thm)],[13911, 13910])).
% 8.56/6.16 tff(13913,plain,
% 8.56/6.16 (![B: $i] : ((~less_3(B)) | (v123(constB50, B) <=> v121(constB49, B)))),
% 8.56/6.16 inference(unit_resolution,[status(thm)],[13912, 7483, 9924])).
% 8.56/6.16 tff(13914,plain,
% 8.56/6.16 (((~![B: $i] : ((~less_3(B)) | (v123(constB50, B) <=> v121(constB49, B)))) | ((~less_3(bitIndex2)) | (v123(constB50, bitIndex2) <=> v121(constB49, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB50, B) <=> v121(constB49, B)))) | (~less_3(bitIndex2)) | (v123(constB50, bitIndex2) <=> v121(constB49, bitIndex2)))),
% 8.56/6.16 inference(rewrite,[status(thm)],[])).
% 8.56/6.16 tff(13915,plain,
% 8.56/6.16 ((~![B: $i] : ((~less_3(B)) | (v123(constB50, B) <=> v121(constB49, B)))) | ((~less_3(bitIndex2)) | (v123(constB50, bitIndex2) <=> v121(constB49, bitIndex2)))),
% 8.56/6.16 inference(quant_inst,[status(thm)],[])).
% 8.56/6.16 tff(13916,plain,
% 8.56/6.16 ((~![B: $i] : ((~less_3(B)) | (v123(constB50, B) <=> v121(constB49, B)))) | (~less_3(bitIndex2)) | (v123(constB50, bitIndex2) <=> v121(constB49, bitIndex2))),
% 8.56/6.16 inference(modus_ponens,[status(thm)],[13915, 13914])).
% 8.56/6.16 tff(13917,plain,
% 8.56/6.16 (v123(constB50, bitIndex2) <=> v121(constB49, bitIndex2)),
% 8.56/6.16 inference(unit_resolution,[status(thm)],[13916, 832, 13913])).
% 8.56/6.16 tff(13918,plain,
% 8.56/6.16 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB49) | ![B: $i] : ((~less_3(B)) | (v121(constB49, B) <=> v124(constB49, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB49) | ![B: $i] : ((~less_3(B)) | (v121(constB49, B) <=> v124(constB49, B))))),
% 8.56/6.16 inference(rewrite,[status(thm)],[])).
% 8.56/6.16 tff(13919,plain,
% 8.56/6.16 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB49) | ![B: $i] : ((~less_3(B)) | (v121(constB49, B) <=> v124(constB49, B))))),
% 8.56/6.16 inference(quant_inst,[status(thm)],[])).
% 8.56/6.16 tff(13920,plain,
% 8.56/6.16 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB49) | ![B: $i] : ((~less_3(B)) | (v121(constB49, B) <=> v124(constB49, B)))),
% 8.56/6.16 inference(modus_ponens,[status(thm)],[13919, 13918])).
% 8.56/6.16 tff(13921,plain,
% 8.56/6.16 (![B: $i] : ((~less_3(B)) | (v121(constB49, B) <=> v124(constB49, B)))),
% 8.56/6.16 inference(unit_resolution,[status(thm)],[13920, 9945, 13882])).
% 8.56/6.16 tff(13922,plain,
% 8.56/6.16 (((~![B: $i] : ((~less_3(B)) | (v121(constB49, B) <=> v124(constB49, B)))) | ((~less_3(bitIndex2)) | (v121(constB49, bitIndex2) <=> v124(constB49, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB49, B) <=> v124(constB49, B)))) | (~less_3(bitIndex2)) | (v121(constB49, bitIndex2) <=> v124(constB49, bitIndex2)))),
% 8.56/6.16 inference(rewrite,[status(thm)],[])).
% 8.56/6.16 tff(13923,plain,
% 8.56/6.16 ((~![B: $i] : ((~less_3(B)) | (v121(constB49, B) <=> v124(constB49, B)))) | ((~less_3(bitIndex2)) | (v121(constB49, bitIndex2) <=> v124(constB49, bitIndex2)))),
% 8.56/6.16 inference(quant_inst,[status(thm)],[])).
% 8.56/6.16 tff(13924,plain,
% 8.56/6.16 ((~![B: $i] : ((~less_3(B)) | (v121(constB49, B) <=> v124(constB49, B)))) | (~less_3(bitIndex2)) | (v121(constB49, bitIndex2) <=> v124(constB49, bitIndex2))),
% 8.56/6.16 inference(modus_ponens,[status(thm)],[13923, 13922])).
% 8.56/6.16 tff(13925,plain,
% 8.56/6.16 (v121(constB49, bitIndex2) <=> v124(constB49, bitIndex2)),
% 8.56/6.16 inference(unit_resolution,[status(thm)],[13924, 832, 13921])).
% 8.56/6.16 tff(13926,plain,
% 8.56/6.16 ((~![VarCurr: $i] : (v113(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))))) | (v113(constB49) <=> (~(v84(constB49, bitIndex0) | v84(constB49, bitIndex1) | v84(constB49, bitIndex2))))),
% 8.56/6.16 inference(quant_inst,[status(thm)],[])).
% 8.56/6.16 tff(13927,plain,
% 8.56/6.16 (v113(constB49) <=> (~(v84(constB49, bitIndex0) | v84(constB49, bitIndex1) | v84(constB49, bitIndex2)))),
% 8.56/6.16 inference(unit_resolution,[status(thm)],[13926, 9739])).
% 8.56/6.16 tff(13928,plain,
% 8.56/6.16 ((v84(constB49, bitIndex0) | v84(constB49, bitIndex1) | v84(constB49, bitIndex2)) | (~v84(constB49, bitIndex2))),
% 8.56/6.16 inference(tautology,[status(thm)],[])).
% 8.56/6.16 tff(13929,plain,
% 8.56/6.16 (v84(constB49, bitIndex0) | v84(constB49, bitIndex1) | v84(constB49, bitIndex2)),
% 8.56/6.16 inference(unit_resolution,[status(thm)],[13928, 13803])).
% 8.56/6.16 tff(13930,plain,
% 8.56/6.16 ((~(v113(constB49) <=> (~(v84(constB49, bitIndex0) | v84(constB49, bitIndex1) | v84(constB49, bitIndex2))))) | (~v113(constB49)) | (~(v84(constB49, bitIndex0) | v84(constB49, bitIndex1) | v84(constB49, bitIndex2)))),
% 8.56/6.16 inference(tautology,[status(thm)],[])).
% 8.56/6.16 tff(13931,plain,
% 8.56/6.16 (~v113(constB49)),
% 8.56/6.17 inference(unit_resolution,[status(thm)],[13930, 13929, 13927])).
% 8.56/6.17 tff(13932,plain,
% 8.56/6.17 (((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB49) <=> (~((~v84(constB49, bitIndex2)) | v84(constB49, bitIndex1) | (~v84(constB49, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB49) <=> (~((~v84(constB49, bitIndex2)) | v84(constB49, bitIndex1) | (~v84(constB49, bitIndex0))))))),
% 8.56/6.17 inference(rewrite,[status(thm)],[])).
% 8.56/6.17 tff(13933,plain,
% 8.56/6.17 ((v118(constB49) <=> (~(v84(constB49, bitIndex1) | (~v84(constB49, bitIndex0)) | (~v84(constB49, bitIndex2))))) <=> (v118(constB49) <=> (~((~v84(constB49, bitIndex2)) | v84(constB49, bitIndex1) | (~v84(constB49, bitIndex0)))))),
% 8.56/6.17 inference(rewrite,[status(thm)],[])).
% 8.56/6.17 tff(13934,plain,
% 8.56/6.17 (((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB49) <=> (~(v84(constB49, bitIndex1) | (~v84(constB49, bitIndex0)) | (~v84(constB49, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB49) <=> (~((~v84(constB49, bitIndex2)) | v84(constB49, bitIndex1) | (~v84(constB49, bitIndex0))))))),
% 8.56/6.17 inference(monotonicity,[status(thm)],[13933])).
% 8.56/6.17 tff(13935,plain,
% 8.56/6.17 (((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB49) <=> (~(v84(constB49, bitIndex1) | (~v84(constB49, bitIndex0)) | (~v84(constB49, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB49) <=> (~((~v84(constB49, bitIndex2)) | v84(constB49, bitIndex1) | (~v84(constB49, bitIndex0))))))),
% 8.56/6.17 inference(transitivity,[status(thm)],[13934, 13932])).
% 8.56/6.17 tff(13936,plain,
% 8.56/6.17 ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB49) <=> (~(v84(constB49, bitIndex1) | (~v84(constB49, bitIndex0)) | (~v84(constB49, bitIndex2)))))),
% 8.56/6.17 inference(quant_inst,[status(thm)],[])).
% 8.56/6.17 tff(13937,plain,
% 8.56/6.17 ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB49) <=> (~((~v84(constB49, bitIndex2)) | v84(constB49, bitIndex1) | (~v84(constB49, bitIndex0)))))),
% 8.56/6.17 inference(modus_ponens,[status(thm)],[13936, 13935])).
% 8.56/6.17 tff(13938,plain,
% 8.56/6.17 (v118(constB49) <=> (~((~v84(constB49, bitIndex2)) | v84(constB49, bitIndex1) | (~v84(constB49, bitIndex0))))),
% 8.56/6.17 inference(unit_resolution,[status(thm)],[13937, 960])).
% 8.56/6.17 tff(13939,plain,
% 8.56/6.17 (((~v84(constB49, bitIndex2)) | v84(constB49, bitIndex1) | (~v84(constB49, bitIndex0))) | (~v84(constB49, bitIndex1))),
% 8.56/6.17 inference(tautology,[status(thm)],[])).
% 8.56/6.17 tff(13940,plain,
% 8.56/6.17 ((~v84(constB49, bitIndex2)) | v84(constB49, bitIndex1) | (~v84(constB49, bitIndex0))),
% 8.56/6.17 inference(unit_resolution,[status(thm)],[13939, 13865])).
% 8.56/6.17 tff(13941,plain,
% 8.56/6.17 ((~(v118(constB49) <=> (~((~v84(constB49, bitIndex2)) | v84(constB49, bitIndex1) | (~v84(constB49, bitIndex0)))))) | (~v118(constB49)) | (~((~v84(constB49, bitIndex2)) | v84(constB49, bitIndex1) | (~v84(constB49, bitIndex0))))),
% 8.56/6.17 inference(tautology,[status(thm)],[])).
% 8.56/6.17 tff(13942,plain,
% 8.56/6.17 (~v118(constB49)),
% 8.56/6.17 inference(unit_resolution,[status(thm)],[13941, 13940, 13938])).
% 8.56/6.17 tff(13943,plain,
% 8.56/6.17 (((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB49) <=> (~((~v84(constB49, bitIndex2)) | v84(constB49, bitIndex1) | v84(constB49, bitIndex0))))) <=> ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB49) <=> (~((~v84(constB49, bitIndex2)) | v84(constB49, bitIndex1) | v84(constB49, bitIndex0)))))),
% 8.56/6.17 inference(rewrite,[status(thm)],[])).
% 8.56/6.17 tff(13944,plain,
% 8.56/6.17 ((v117(constB49) <=> (~(v84(constB49, bitIndex0) | v84(constB49, bitIndex1) | (~v84(constB49, bitIndex2))))) <=> (v117(constB49) <=> (~((~v84(constB49, bitIndex2)) | v84(constB49, bitIndex1) | v84(constB49, bitIndex0))))),
% 8.56/6.17 inference(rewrite,[status(thm)],[])).
% 8.56/6.17 tff(13945,plain,
% 8.56/6.17 (((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB49) <=> (~(v84(constB49, bitIndex0) | v84(constB49, bitIndex1) | (~v84(constB49, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB49) <=> (~((~v84(constB49, bitIndex2)) | v84(constB49, bitIndex1) | v84(constB49, bitIndex0)))))),
% 8.56/6.17 inference(monotonicity,[status(thm)],[13944])).
% 8.56/6.17 tff(13946,plain,
% 8.56/6.17 (((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB49) <=> (~(v84(constB49, bitIndex0) | v84(constB49, bitIndex1) | (~v84(constB49, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB49) <=> (~((~v84(constB49, bitIndex2)) | v84(constB49, bitIndex1) | v84(constB49, bitIndex0)))))),
% 8.56/6.17 inference(transitivity,[status(thm)],[13945, 13943])).
% 8.56/6.17 tff(13947,plain,
% 8.56/6.17 ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB49) <=> (~(v84(constB49, bitIndex0) | v84(constB49, bitIndex1) | (~v84(constB49, bitIndex2)))))),
% 8.56/6.17 inference(quant_inst,[status(thm)],[])).
% 8.56/6.17 tff(13948,plain,
% 8.56/6.17 ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB49) <=> (~((~v84(constB49, bitIndex2)) | v84(constB49, bitIndex1) | v84(constB49, bitIndex0))))),
% 8.56/6.17 inference(modus_ponens,[status(thm)],[13947, 13946])).
% 8.56/6.17 tff(13949,plain,
% 8.56/6.17 (v117(constB49) <=> (~((~v84(constB49, bitIndex2)) | v84(constB49, bitIndex1) | v84(constB49, bitIndex0)))),
% 8.56/6.17 inference(unit_resolution,[status(thm)],[13948, 1071])).
% 8.56/6.17 tff(13950,plain,
% 8.56/6.17 (((~v84(constB49, bitIndex2)) | v84(constB49, bitIndex1) | v84(constB49, bitIndex0)) | (~v84(constB49, bitIndex1))),
% 8.56/6.17 inference(tautology,[status(thm)],[])).
% 8.56/6.17 tff(13951,plain,
% 8.56/6.17 ((~v84(constB49, bitIndex2)) | v84(constB49, bitIndex1) | v84(constB49, bitIndex0)),
% 8.56/6.17 inference(unit_resolution,[status(thm)],[13950, 13865])).
% 8.56/6.17 tff(13952,plain,
% 8.56/6.17 ((~(v117(constB49) <=> (~((~v84(constB49, bitIndex2)) | v84(constB49, bitIndex1) | v84(constB49, bitIndex0))))) | (~v117(constB49)) | (~((~v84(constB49, bitIndex2)) | v84(constB49, bitIndex1) | v84(constB49, bitIndex0)))),
% 8.56/6.17 inference(tautology,[status(thm)],[])).
% 8.56/6.17 tff(13953,plain,
% 8.56/6.17 (~v117(constB49)),
% 8.56/6.17 inference(unit_resolution,[status(thm)],[13952, 13951, 13949])).
% 8.56/6.17 tff(13954,plain,
% 8.56/6.17 ((~![VarCurr: $i] : (v116(VarCurr) <=> (~(v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex0)))))) | (v116(constB49) <=> (~(v84(constB49, bitIndex2) | (~v84(constB49, bitIndex1)) | (~v84(constB49, bitIndex0)))))),
% 8.56/6.17 inference(quant_inst,[status(thm)],[])).
% 8.56/6.17 tff(13955,plain,
% 8.56/6.17 (v116(constB49) <=> (~(v84(constB49, bitIndex2) | (~v84(constB49, bitIndex1)) | (~v84(constB49, bitIndex0))))),
% 8.56/6.17 inference(unit_resolution,[status(thm)],[13954, 1184])).
% 8.56/6.17 tff(13956,plain,
% 8.56/6.17 ((v84(constB49, bitIndex2) | (~v84(constB49, bitIndex1)) | (~v84(constB49, bitIndex0))) | (~v84(constB49, bitIndex2))),
% 8.56/6.17 inference(tautology,[status(thm)],[])).
% 8.56/6.17 tff(13957,plain,
% 8.56/6.17 (v84(constB49, bitIndex2) | (~v84(constB49, bitIndex1)) | (~v84(constB49, bitIndex0))),
% 8.56/6.17 inference(unit_resolution,[status(thm)],[13956, 13803])).
% 8.56/6.17 tff(13958,plain,
% 8.56/6.17 ((~(v116(constB49) <=> (~(v84(constB49, bitIndex2) | (~v84(constB49, bitIndex1)) | (~v84(constB49, bitIndex0)))))) | (~v116(constB49)) | (~(v84(constB49, bitIndex2) | (~v84(constB49, bitIndex1)) | (~v84(constB49, bitIndex0))))),
% 8.56/6.17 inference(tautology,[status(thm)],[])).
% 8.56/6.17 tff(13959,plain,
% 8.56/6.17 (~v116(constB49)),
% 8.56/6.17 inference(unit_resolution,[status(thm)],[13958, 13957, 13955])).
% 8.56/6.17 tff(13960,plain,
% 8.56/6.17 (((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB49) <=> (~(v84(constB49, bitIndex2) | (~v84(constB49, bitIndex1)) | v84(constB49, bitIndex0))))) <=> ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB49) <=> (~(v84(constB49, bitIndex2) | (~v84(constB49, bitIndex1)) | v84(constB49, bitIndex0)))))),
% 8.56/6.17 inference(rewrite,[status(thm)],[])).
% 8.56/6.17 tff(13961,plain,
% 8.56/6.17 ((v115(constB49) <=> (~(v84(constB49, bitIndex0) | v84(constB49, bitIndex2) | (~v84(constB49, bitIndex1))))) <=> (v115(constB49) <=> (~(v84(constB49, bitIndex2) | (~v84(constB49, bitIndex1)) | v84(constB49, bitIndex0))))),
% 8.56/6.17 inference(rewrite,[status(thm)],[])).
% 8.56/6.17 tff(13962,plain,
% 8.56/6.17 (((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB49) <=> (~(v84(constB49, bitIndex0) | v84(constB49, bitIndex2) | (~v84(constB49, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB49) <=> (~(v84(constB49, bitIndex2) | (~v84(constB49, bitIndex1)) | v84(constB49, bitIndex0)))))),
% 8.56/6.17 inference(monotonicity,[status(thm)],[13961])).
% 8.56/6.17 tff(13963,plain,
% 8.56/6.17 (((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB49) <=> (~(v84(constB49, bitIndex0) | v84(constB49, bitIndex2) | (~v84(constB49, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB49) <=> (~(v84(constB49, bitIndex2) | (~v84(constB49, bitIndex1)) | v84(constB49, bitIndex0)))))),
% 8.56/6.17 inference(transitivity,[status(thm)],[13962, 13960])).
% 8.56/6.17 tff(13964,plain,
% 8.56/6.17 ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB49) <=> (~(v84(constB49, bitIndex0) | v84(constB49, bitIndex2) | (~v84(constB49, bitIndex1)))))),
% 8.56/6.17 inference(quant_inst,[status(thm)],[])).
% 8.56/6.17 tff(13965,plain,
% 8.56/6.17 ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB49) <=> (~(v84(constB49, bitIndex2) | (~v84(constB49, bitIndex1)) | v84(constB49, bitIndex0))))),
% 8.56/6.17 inference(modus_ponens,[status(thm)],[13964, 13963])).
% 8.56/6.17 tff(13966,plain,
% 8.56/6.17 (v115(constB49) <=> (~(v84(constB49, bitIndex2) | (~v84(constB49, bitIndex1)) | v84(constB49, bitIndex0)))),
% 8.56/6.17 inference(unit_resolution,[status(thm)],[13965, 1294])).
% 8.56/6.17 tff(13967,plain,
% 8.56/6.17 ((v84(constB49, bitIndex2) | (~v84(constB49, bitIndex1)) | v84(constB49, bitIndex0)) | (~v84(constB49, bitIndex2))),
% 8.56/6.17 inference(tautology,[status(thm)],[])).
% 8.56/6.17 tff(13968,plain,
% 8.56/6.17 (v84(constB49, bitIndex2) | (~v84(constB49, bitIndex1)) | v84(constB49, bitIndex0)),
% 8.56/6.17 inference(unit_resolution,[status(thm)],[13967, 13803])).
% 8.56/6.17 tff(13969,plain,
% 8.56/6.17 ((~(v115(constB49) <=> (~(v84(constB49, bitIndex2) | (~v84(constB49, bitIndex1)) | v84(constB49, bitIndex0))))) | (~v115(constB49)) | (~(v84(constB49, bitIndex2) | (~v84(constB49, bitIndex1)) | v84(constB49, bitIndex0)))),
% 8.56/6.17 inference(tautology,[status(thm)],[])).
% 8.56/6.17 tff(13970,plain,
% 8.56/6.17 (~v115(constB49)),
% 8.56/6.17 inference(unit_resolution,[status(thm)],[13969, 13968, 13966])).
% 8.56/6.17 tff(13971,plain,
% 8.56/6.17 (((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB49) <=> (~(v84(constB49, bitIndex2) | v84(constB49, bitIndex1) | (~v84(constB49, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB49) <=> (~(v84(constB49, bitIndex2) | v84(constB49, bitIndex1) | (~v84(constB49, bitIndex0))))))),
% 8.56/6.17 inference(rewrite,[status(thm)],[])).
% 8.56/6.17 tff(13972,plain,
% 8.56/6.17 ((v114(constB49) <=> (~(v84(constB49, bitIndex1) | v84(constB49, bitIndex2) | (~v84(constB49, bitIndex0))))) <=> (v114(constB49) <=> (~(v84(constB49, bitIndex2) | v84(constB49, bitIndex1) | (~v84(constB49, bitIndex0)))))),
% 8.56/6.17 inference(rewrite,[status(thm)],[])).
% 8.56/6.17 tff(13973,plain,
% 8.56/6.17 (((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB49) <=> (~(v84(constB49, bitIndex1) | v84(constB49, bitIndex2) | (~v84(constB49, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB49) <=> (~(v84(constB49, bitIndex2) | v84(constB49, bitIndex1) | (~v84(constB49, bitIndex0))))))),
% 8.56/6.17 inference(monotonicity,[status(thm)],[13972])).
% 8.56/6.17 tff(13974,plain,
% 8.56/6.17 (((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB49) <=> (~(v84(constB49, bitIndex1) | v84(constB49, bitIndex2) | (~v84(constB49, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB49) <=> (~(v84(constB49, bitIndex2) | v84(constB49, bitIndex1) | (~v84(constB49, bitIndex0))))))),
% 8.56/6.17 inference(transitivity,[status(thm)],[13973, 13971])).
% 8.56/6.17 tff(13975,plain,
% 8.56/6.17 ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB49) <=> (~(v84(constB49, bitIndex1) | v84(constB49, bitIndex2) | (~v84(constB49, bitIndex0)))))),
% 8.56/6.17 inference(quant_inst,[status(thm)],[])).
% 8.56/6.17 tff(13976,plain,
% 8.56/6.17 ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB49) <=> (~(v84(constB49, bitIndex2) | v84(constB49, bitIndex1) | (~v84(constB49, bitIndex0)))))),
% 8.56/6.17 inference(modus_ponens,[status(thm)],[13975, 13974])).
% 8.56/6.17 tff(13977,plain,
% 8.56/6.17 (v114(constB49) <=> (~(v84(constB49, bitIndex2) | v84(constB49, bitIndex1) | (~v84(constB49, bitIndex0))))),
% 8.56/6.17 inference(unit_resolution,[status(thm)],[13976, 1411])).
% 8.56/6.17 tff(13978,plain,
% 8.56/6.17 ((v84(constB49, bitIndex2) | v84(constB49, bitIndex1) | (~v84(constB49, bitIndex0))) | (~v84(constB49, bitIndex2))),
% 8.56/6.17 inference(tautology,[status(thm)],[])).
% 8.56/6.17 tff(13979,plain,
% 8.56/6.17 (v84(constB49, bitIndex2) | v84(constB49, bitIndex1) | (~v84(constB49, bitIndex0))),
% 8.56/6.17 inference(unit_resolution,[status(thm)],[13978, 13803])).
% 8.56/6.17 tff(13980,plain,
% 8.56/6.17 ((~(v114(constB49) <=> (~(v84(constB49, bitIndex2) | v84(constB49, bitIndex1) | (~v84(constB49, bitIndex0)))))) | (~v114(constB49)) | (~(v84(constB49, bitIndex2) | v84(constB49, bitIndex1) | (~v84(constB49, bitIndex0))))),
% 8.56/6.17 inference(tautology,[status(thm)],[])).
% 8.56/6.17 tff(13981,plain,
% 8.56/6.17 (~v114(constB49)),
% 8.56/6.17 inference(unit_resolution,[status(thm)],[13980, 13979, 13977])).
% 8.56/6.17 tff(13982,plain,
% 8.56/6.17 (((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | (v113(constB49) | v114(constB49) | v115(constB49) | v116(constB49) | v117(constB49) | v118(constB49) | ![B: $i] : ((~less_3(B)) | (v124(constB49, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | v113(constB49) | v114(constB49) | v115(constB49) | v116(constB49) | v117(constB49) | v118(constB49) | ![B: $i] : ((~less_3(B)) | (v124(constB49, B) <=> b001(B))))),
% 8.56/6.17 inference(rewrite,[status(thm)],[])).
% 8.56/6.17 tff(13983,plain,
% 8.56/6.17 ((v118(constB49) | v117(constB49) | v116(constB49) | v115(constB49) | v114(constB49) | v113(constB49) | ![B: $i] : ((~less_3(B)) | (v124(constB49, B) <=> b001(B)))) <=> (v113(constB49) | v114(constB49) | v115(constB49) | v116(constB49) | v117(constB49) | v118(constB49) | ![B: $i] : ((~less_3(B)) | (v124(constB49, B) <=> b001(B))))),
% 8.66/6.17 inference(rewrite,[status(thm)],[])).
% 8.66/6.17 tff(13984,plain,
% 8.66/6.17 (((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | (v118(constB49) | v117(constB49) | v116(constB49) | v115(constB49) | v114(constB49) | v113(constB49) | ![B: $i] : ((~less_3(B)) | (v124(constB49, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | (v113(constB49) | v114(constB49) | v115(constB49) | v116(constB49) | v117(constB49) | v118(constB49) | ![B: $i] : ((~less_3(B)) | (v124(constB49, B) <=> b001(B)))))),
% 8.66/6.17 inference(monotonicity,[status(thm)],[13983])).
% 8.66/6.17 tff(13985,plain,
% 8.66/6.17 (((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | (v118(constB49) | v117(constB49) | v116(constB49) | v115(constB49) | v114(constB49) | v113(constB49) | ![B: $i] : ((~less_3(B)) | (v124(constB49, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | v113(constB49) | v114(constB49) | v115(constB49) | v116(constB49) | v117(constB49) | v118(constB49) | ![B: $i] : ((~less_3(B)) | (v124(constB49, B) <=> b001(B))))),
% 8.66/6.17 inference(transitivity,[status(thm)],[13984, 13982])).
% 8.66/6.17 tff(13986,plain,
% 8.66/6.17 ((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | (v118(constB49) | v117(constB49) | v116(constB49) | v115(constB49) | v114(constB49) | v113(constB49) | ![B: $i] : ((~less_3(B)) | (v124(constB49, B) <=> b001(B))))),
% 8.66/6.17 inference(quant_inst,[status(thm)],[])).
% 8.66/6.17 tff(13987,plain,
% 8.66/6.17 ((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | v113(constB49) | v114(constB49) | v115(constB49) | v116(constB49) | v117(constB49) | v118(constB49) | ![B: $i] : ((~less_3(B)) | (v124(constB49, B) <=> b001(B)))),
% 8.66/6.17 inference(modus_ponens,[status(thm)],[13986, 13985])).
% 8.66/6.17 tff(13988,plain,
% 8.66/6.17 (v113(constB49) | v114(constB49) | v115(constB49) | v116(constB49) | v117(constB49) | v118(constB49) | ![B: $i] : ((~less_3(B)) | (v124(constB49, B) <=> b001(B)))),
% 8.66/6.17 inference(unit_resolution,[status(thm)],[13987, 11068])).
% 8.66/6.17 tff(13989,plain,
% 8.66/6.17 (![B: $i] : ((~less_3(B)) | (v124(constB49, B) <=> b001(B)))),
% 8.66/6.17 inference(unit_resolution,[status(thm)],[13988, 13981, 13970, 13959, 13953, 13942, 13931])).
% 8.66/6.17 tff(13990,plain,
% 8.66/6.17 (((~![B: $i] : ((~less_3(B)) | (v124(constB49, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v124(constB49, bitIndex2) <=> b001(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB49, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v124(constB49, bitIndex2) <=> b001(bitIndex2)))),
% 8.66/6.17 inference(rewrite,[status(thm)],[])).
% 8.66/6.17 tff(13991,plain,
% 8.66/6.17 ((~![B: $i] : ((~less_3(B)) | (v124(constB49, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v124(constB49, bitIndex2) <=> b001(bitIndex2)))),
% 8.66/6.17 inference(quant_inst,[status(thm)],[])).
% 8.66/6.17 tff(13992,plain,
% 8.66/6.17 ((~![B: $i] : ((~less_3(B)) | (v124(constB49, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v124(constB49, bitIndex2) <=> b001(bitIndex2))),
% 8.66/6.17 inference(modus_ponens,[status(thm)],[13991, 13990])).
% 8.66/6.17 tff(13993,plain,
% 8.66/6.17 (v124(constB49, bitIndex2) <=> b001(bitIndex2)),
% 8.66/6.17 inference(unit_resolution,[status(thm)],[13992, 832, 13989])).
% 8.66/6.17 tff(13994,plain,
% 8.66/6.17 ((~(v124(constB49, bitIndex2) <=> b001(bitIndex2))) | (~v124(constB49, bitIndex2)) | b001(bitIndex2)),
% 8.66/6.17 inference(tautology,[status(thm)],[])).
% 8.66/6.17 tff(13995,plain,
% 8.66/6.17 ((~(v124(constB49, bitIndex2) <=> b001(bitIndex2))) | (~v124(constB49, bitIndex2))),
% 8.66/6.17 inference(unit_resolution,[status(thm)],[13994, 9977])).
% 8.66/6.17 tff(13996,plain,
% 8.66/6.17 (~v124(constB49, bitIndex2)),
% 8.66/6.17 inference(unit_resolution,[status(thm)],[13995, 13993])).
% 8.66/6.17 tff(13997,plain,
% 8.66/6.17 ((~(v121(constB49, bitIndex2) <=> v124(constB49, bitIndex2))) | (~v121(constB49, bitIndex2)) | v124(constB49, bitIndex2)),
% 8.66/6.17 inference(tautology,[status(thm)],[])).
% 8.66/6.17 tff(13998,plain,
% 8.66/6.17 (~v121(constB49, bitIndex2)),
% 8.66/6.17 inference(unit_resolution,[status(thm)],[13997, 13996, 13925])).
% 8.66/6.17 tff(13999,plain,
% 8.66/6.17 ((~(v123(constB50, bitIndex2) <=> v121(constB49, bitIndex2))) | (~v123(constB50, bitIndex2)) | v121(constB49, bitIndex2)),
% 8.66/6.17 inference(tautology,[status(thm)],[])).
% 8.66/6.17 tff(14000,plain,
% 8.66/6.17 (~v123(constB50, bitIndex2)),
% 8.66/6.17 inference(unit_resolution,[status(thm)],[13999, 13998, 13917])).
% 8.66/6.17 tff(14001,plain,
% 8.66/6.17 ((~(v84(constB50, bitIndex2) <=> v123(constB50, bitIndex2))) | (~v84(constB50, bitIndex2)) | v123(constB50, bitIndex2)),
% 8.66/6.17 inference(tautology,[status(thm)],[])).
% 8.66/6.17 tff(14002,plain,
% 8.66/6.17 (~v84(constB50, bitIndex2)),
% 8.66/6.17 inference(unit_resolution,[status(thm)],[14001, 14000, 13909])).
% 8.66/6.17 tff(14003,plain,
% 8.66/6.17 ((~(v84(constB51, bitIndex2) <=> v84(constB50, bitIndex2))) | (~v84(constB51, bitIndex2)) | v84(constB50, bitIndex2)),
% 8.66/6.17 inference(tautology,[status(thm)],[])).
% 8.66/6.17 tff(14004,plain,
% 8.66/6.17 (~v84(constB51, bitIndex2)),
% 8.66/6.17 inference(unit_resolution,[status(thm)],[14003, 14002, 7480])).
% 8.66/6.17 tff(14005,plain,
% 8.66/6.17 (((~![B: $i] : ((~less_3(B)) | (v84(constB51, B) <=> v84(constB50, B)))) | ((~less_3(bitIndex0)) | (v84(constB51, bitIndex0) <=> v84(constB50, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB51, B) <=> v84(constB50, B)))) | (~less_3(bitIndex0)) | (v84(constB51, bitIndex0) <=> v84(constB50, bitIndex0)))),
% 8.66/6.17 inference(rewrite,[status(thm)],[])).
% 8.66/6.17 tff(14006,plain,
% 8.66/6.17 ((~![B: $i] : ((~less_3(B)) | (v84(constB51, B) <=> v84(constB50, B)))) | ((~less_3(bitIndex0)) | (v84(constB51, bitIndex0) <=> v84(constB50, bitIndex0)))),
% 8.66/6.17 inference(quant_inst,[status(thm)],[])).
% 8.66/6.17 tff(14007,plain,
% 8.66/6.17 ((~![B: $i] : ((~less_3(B)) | (v84(constB51, B) <=> v84(constB50, B)))) | (~less_3(bitIndex0)) | (v84(constB51, bitIndex0) <=> v84(constB50, bitIndex0))),
% 8.66/6.17 inference(modus_ponens,[status(thm)],[14006, 14005])).
% 8.66/6.17 tff(14008,plain,
% 8.66/6.17 (v84(constB51, bitIndex0) <=> v84(constB50, bitIndex0)),
% 8.66/6.17 inference(unit_resolution,[status(thm)],[14007, 9772, 7476])).
% 8.66/6.17 tff(14009,plain,
% 8.66/6.17 (((~![B: $i] : ((~less_3(B)) | (v84(constB50, B) <=> v123(constB50, B)))) | ((~less_3(bitIndex0)) | (v84(constB50, bitIndex0) <=> v123(constB50, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB50, B) <=> v123(constB50, B)))) | (~less_3(bitIndex0)) | (v84(constB50, bitIndex0) <=> v123(constB50, bitIndex0)))),
% 8.66/6.17 inference(rewrite,[status(thm)],[])).
% 8.66/6.17 tff(14010,plain,
% 8.66/6.17 ((~![B: $i] : ((~less_3(B)) | (v84(constB50, B) <=> v123(constB50, B)))) | ((~less_3(bitIndex0)) | (v84(constB50, bitIndex0) <=> v123(constB50, bitIndex0)))),
% 8.66/6.17 inference(quant_inst,[status(thm)],[])).
% 8.66/6.17 tff(14011,plain,
% 8.66/6.17 ((~![B: $i] : ((~less_3(B)) | (v84(constB50, B) <=> v123(constB50, B)))) | (~less_3(bitIndex0)) | (v84(constB50, bitIndex0) <=> v123(constB50, bitIndex0))),
% 8.66/6.17 inference(modus_ponens,[status(thm)],[14010, 14009])).
% 8.66/6.17 tff(14012,plain,
% 8.66/6.17 (v84(constB50, bitIndex0) <=> v123(constB50, bitIndex0)),
% 8.66/6.17 inference(unit_resolution,[status(thm)],[14011, 9772, 13905])).
% 8.66/6.17 tff(14013,plain,
% 8.66/6.17 (((~![B: $i] : ((~less_3(B)) | (v123(constB50, B) <=> v121(constB49, B)))) | ((~less_3(bitIndex0)) | (v123(constB50, bitIndex0) <=> v121(constB49, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB50, B) <=> v121(constB49, B)))) | (~less_3(bitIndex0)) | (v123(constB50, bitIndex0) <=> v121(constB49, bitIndex0)))),
% 8.66/6.17 inference(rewrite,[status(thm)],[])).
% 8.66/6.17 tff(14014,plain,
% 8.66/6.17 ((~![B: $i] : ((~less_3(B)) | (v123(constB50, B) <=> v121(constB49, B)))) | ((~less_3(bitIndex0)) | (v123(constB50, bitIndex0) <=> v121(constB49, bitIndex0)))),
% 8.66/6.17 inference(quant_inst,[status(thm)],[])).
% 8.66/6.17 tff(14015,plain,
% 8.66/6.17 ((~![B: $i] : ((~less_3(B)) | (v123(constB50, B) <=> v121(constB49, B)))) | (~less_3(bitIndex0)) | (v123(constB50, bitIndex0) <=> v121(constB49, bitIndex0))),
% 8.66/6.17 inference(modus_ponens,[status(thm)],[14014, 14013])).
% 8.66/6.17 tff(14016,plain,
% 8.66/6.17 (v123(constB50, bitIndex0) <=> v121(constB49, bitIndex0)),
% 8.66/6.17 inference(unit_resolution,[status(thm)],[14015, 9772, 13913])).
% 8.66/6.17 tff(14017,plain,
% 8.66/6.17 (((~![B: $i] : ((~less_3(B)) | (v121(constB49, B) <=> v124(constB49, B)))) | ((~less_3(bitIndex0)) | (v121(constB49, bitIndex0) <=> v124(constB49, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB49, B) <=> v124(constB49, B)))) | (~less_3(bitIndex0)) | (v121(constB49, bitIndex0) <=> v124(constB49, bitIndex0)))),
% 8.66/6.17 inference(rewrite,[status(thm)],[])).
% 8.66/6.17 tff(14018,plain,
% 8.66/6.17 ((~![B: $i] : ((~less_3(B)) | (v121(constB49, B) <=> v124(constB49, B)))) | ((~less_3(bitIndex0)) | (v121(constB49, bitIndex0) <=> v124(constB49, bitIndex0)))),
% 8.66/6.17 inference(quant_inst,[status(thm)],[])).
% 8.66/6.17 tff(14019,plain,
% 8.66/6.17 ((~![B: $i] : ((~less_3(B)) | (v121(constB49, B) <=> v124(constB49, B)))) | (~less_3(bitIndex0)) | (v121(constB49, bitIndex0) <=> v124(constB49, bitIndex0))),
% 8.66/6.17 inference(modus_ponens,[status(thm)],[14018, 14017])).
% 8.66/6.17 tff(14020,plain,
% 8.66/6.17 (v121(constB49, bitIndex0) <=> v124(constB49, bitIndex0)),
% 8.66/6.17 inference(unit_resolution,[status(thm)],[14019, 9772, 13921])).
% 8.66/6.17 tff(14021,plain,
% 8.66/6.17 (((~![B: $i] : ((~less_3(B)) | (v124(constB49, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v124(constB49, bitIndex0) <=> b001(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB49, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v124(constB49, bitIndex0) <=> b001(bitIndex0)))),
% 8.66/6.17 inference(rewrite,[status(thm)],[])).
% 8.66/6.17 tff(14022,plain,
% 8.66/6.17 ((~![B: $i] : ((~less_3(B)) | (v124(constB49, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v124(constB49, bitIndex0) <=> b001(bitIndex0)))),
% 8.66/6.17 inference(quant_inst,[status(thm)],[])).
% 8.66/6.17 tff(14023,plain,
% 8.66/6.17 ((~![B: $i] : ((~less_3(B)) | (v124(constB49, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v124(constB49, bitIndex0) <=> b001(bitIndex0))),
% 8.66/6.17 inference(modus_ponens,[status(thm)],[14022, 14021])).
% 8.66/6.17 tff(14024,plain,
% 8.66/6.17 (v124(constB49, bitIndex0) <=> b001(bitIndex0)),
% 8.66/6.17 inference(unit_resolution,[status(thm)],[14023, 9772, 13989])).
% 8.66/6.17 tff(14025,plain,
% 8.66/6.17 ((~(v124(constB49, bitIndex0) <=> b001(bitIndex0))) | v124(constB49, bitIndex0) | (~b001(bitIndex0))),
% 8.66/6.17 inference(tautology,[status(thm)],[])).
% 8.66/6.17 tff(14026,plain,
% 8.66/6.17 ((~(v124(constB49, bitIndex0) <=> b001(bitIndex0))) | v124(constB49, bitIndex0)),
% 8.66/6.17 inference(unit_resolution,[status(thm)],[14025, 10011])).
% 8.66/6.17 tff(14027,plain,
% 8.66/6.17 (v124(constB49, bitIndex0)),
% 8.66/6.17 inference(unit_resolution,[status(thm)],[14026, 14024])).
% 8.66/6.17 tff(14028,plain,
% 8.66/6.17 ((~(v121(constB49, bitIndex0) <=> v124(constB49, bitIndex0))) | v121(constB49, bitIndex0) | (~v124(constB49, bitIndex0))),
% 8.66/6.17 inference(tautology,[status(thm)],[])).
% 8.66/6.17 tff(14029,plain,
% 8.66/6.17 (v121(constB49, bitIndex0)),
% 8.66/6.17 inference(unit_resolution,[status(thm)],[14028, 14027, 14020])).
% 8.66/6.17 tff(14030,plain,
% 8.66/6.17 ((~(v123(constB50, bitIndex0) <=> v121(constB49, bitIndex0))) | v123(constB50, bitIndex0) | (~v121(constB49, bitIndex0))),
% 8.66/6.17 inference(tautology,[status(thm)],[])).
% 8.66/6.17 tff(14031,plain,
% 8.66/6.17 (v123(constB50, bitIndex0)),
% 8.66/6.17 inference(unit_resolution,[status(thm)],[14030, 14029, 14016])).
% 8.66/6.17 tff(14032,plain,
% 8.66/6.17 ((~(v84(constB50, bitIndex0) <=> v123(constB50, bitIndex0))) | v84(constB50, bitIndex0) | (~v123(constB50, bitIndex0))),
% 8.66/6.17 inference(tautology,[status(thm)],[])).
% 8.66/6.17 tff(14033,plain,
% 8.66/6.17 (v84(constB50, bitIndex0)),
% 8.66/6.17 inference(unit_resolution,[status(thm)],[14032, 14031, 14012])).
% 8.66/6.17 tff(14034,plain,
% 8.66/6.17 ((~(v84(constB51, bitIndex0) <=> v84(constB50, bitIndex0))) | v84(constB51, bitIndex0) | (~v84(constB50, bitIndex0))),
% 8.66/6.17 inference(tautology,[status(thm)],[])).
% 8.66/6.17 tff(14035,plain,
% 8.66/6.17 (v84(constB51, bitIndex0)),
% 8.66/6.17 inference(unit_resolution,[status(thm)],[14034, 14033, 14008])).
% 8.66/6.17 tff(14036,plain,
% 8.66/6.17 (((~![B: $i] : ((~less_3(B)) | (v84(constB51, B) <=> v84(constB50, B)))) | ((~less_3(bitIndex1)) | (v84(constB51, bitIndex1) <=> v84(constB50, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB51, B) <=> v84(constB50, B)))) | (~less_3(bitIndex1)) | (v84(constB51, bitIndex1) <=> v84(constB50, bitIndex1)))),
% 8.66/6.18 inference(rewrite,[status(thm)],[])).
% 8.66/6.18 tff(14037,plain,
% 8.66/6.18 ((~![B: $i] : ((~less_3(B)) | (v84(constB51, B) <=> v84(constB50, B)))) | ((~less_3(bitIndex1)) | (v84(constB51, bitIndex1) <=> v84(constB50, bitIndex1)))),
% 8.66/6.18 inference(quant_inst,[status(thm)],[])).
% 8.66/6.18 tff(14038,plain,
% 8.66/6.18 ((~![B: $i] : ((~less_3(B)) | (v84(constB51, B) <=> v84(constB50, B)))) | (~less_3(bitIndex1)) | (v84(constB51, bitIndex1) <=> v84(constB50, bitIndex1))),
% 8.66/6.18 inference(modus_ponens,[status(thm)],[14037, 14036])).
% 8.66/6.18 tff(14039,plain,
% 8.66/6.18 (v84(constB51, bitIndex1) <=> v84(constB50, bitIndex1)),
% 8.66/6.18 inference(unit_resolution,[status(thm)],[14038, 9785, 7476])).
% 8.66/6.18 tff(14040,plain,
% 8.66/6.18 (((~![B: $i] : ((~less_3(B)) | (v84(constB50, B) <=> v123(constB50, B)))) | ((~less_3(bitIndex1)) | (v84(constB50, bitIndex1) <=> v123(constB50, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB50, B) <=> v123(constB50, B)))) | (~less_3(bitIndex1)) | (v84(constB50, bitIndex1) <=> v123(constB50, bitIndex1)))),
% 8.66/6.18 inference(rewrite,[status(thm)],[])).
% 8.66/6.18 tff(14041,plain,
% 8.66/6.18 ((~![B: $i] : ((~less_3(B)) | (v84(constB50, B) <=> v123(constB50, B)))) | ((~less_3(bitIndex1)) | (v84(constB50, bitIndex1) <=> v123(constB50, bitIndex1)))),
% 8.66/6.18 inference(quant_inst,[status(thm)],[])).
% 8.66/6.18 tff(14042,plain,
% 8.66/6.18 ((~![B: $i] : ((~less_3(B)) | (v84(constB50, B) <=> v123(constB50, B)))) | (~less_3(bitIndex1)) | (v84(constB50, bitIndex1) <=> v123(constB50, bitIndex1))),
% 8.66/6.18 inference(modus_ponens,[status(thm)],[14041, 14040])).
% 8.66/6.18 tff(14043,plain,
% 8.66/6.18 (v84(constB50, bitIndex1) <=> v123(constB50, bitIndex1)),
% 8.66/6.18 inference(unit_resolution,[status(thm)],[14042, 9785, 13905])).
% 8.66/6.18 tff(14044,plain,
% 8.66/6.18 (((~![B: $i] : ((~less_3(B)) | (v123(constB50, B) <=> v121(constB49, B)))) | ((~less_3(bitIndex1)) | (v123(constB50, bitIndex1) <=> v121(constB49, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB50, B) <=> v121(constB49, B)))) | (~less_3(bitIndex1)) | (v123(constB50, bitIndex1) <=> v121(constB49, bitIndex1)))),
% 8.66/6.18 inference(rewrite,[status(thm)],[])).
% 8.66/6.18 tff(14045,plain,
% 8.66/6.18 ((~![B: $i] : ((~less_3(B)) | (v123(constB50, B) <=> v121(constB49, B)))) | ((~less_3(bitIndex1)) | (v123(constB50, bitIndex1) <=> v121(constB49, bitIndex1)))),
% 8.66/6.18 inference(quant_inst,[status(thm)],[])).
% 8.66/6.18 tff(14046,plain,
% 8.66/6.18 ((~![B: $i] : ((~less_3(B)) | (v123(constB50, B) <=> v121(constB49, B)))) | (~less_3(bitIndex1)) | (v123(constB50, bitIndex1) <=> v121(constB49, bitIndex1))),
% 8.66/6.18 inference(modus_ponens,[status(thm)],[14045, 14044])).
% 8.66/6.18 tff(14047,plain,
% 8.66/6.18 (v123(constB50, bitIndex1) <=> v121(constB49, bitIndex1)),
% 8.66/6.18 inference(unit_resolution,[status(thm)],[14046, 9785, 13913])).
% 8.66/6.18 tff(14048,plain,
% 8.66/6.18 (((~![B: $i] : ((~less_3(B)) | (v121(constB49, B) <=> v124(constB49, B)))) | ((~less_3(bitIndex1)) | (v121(constB49, bitIndex1) <=> v124(constB49, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB49, B) <=> v124(constB49, B)))) | (~less_3(bitIndex1)) | (v121(constB49, bitIndex1) <=> v124(constB49, bitIndex1)))),
% 8.66/6.18 inference(rewrite,[status(thm)],[])).
% 8.66/6.18 tff(14049,plain,
% 8.66/6.18 ((~![B: $i] : ((~less_3(B)) | (v121(constB49, B) <=> v124(constB49, B)))) | ((~less_3(bitIndex1)) | (v121(constB49, bitIndex1) <=> v124(constB49, bitIndex1)))),
% 8.66/6.18 inference(quant_inst,[status(thm)],[])).
% 8.66/6.18 tff(14050,plain,
% 8.66/6.18 ((~![B: $i] : ((~less_3(B)) | (v121(constB49, B) <=> v124(constB49, B)))) | (~less_3(bitIndex1)) | (v121(constB49, bitIndex1) <=> v124(constB49, bitIndex1))),
% 8.66/6.18 inference(modus_ponens,[status(thm)],[14049, 14048])).
% 8.66/6.18 tff(14051,plain,
% 8.66/6.18 (v121(constB49, bitIndex1) <=> v124(constB49, bitIndex1)),
% 8.66/6.18 inference(unit_resolution,[status(thm)],[14050, 9785, 13921])).
% 8.66/6.18 tff(14052,plain,
% 8.66/6.18 (((~![B: $i] : ((~less_3(B)) | (v124(constB49, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v124(constB49, bitIndex1) <=> b001(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB49, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v124(constB49, bitIndex1) <=> b001(bitIndex1)))),
% 8.66/6.18 inference(rewrite,[status(thm)],[])).
% 8.66/6.18 tff(14053,plain,
% 8.66/6.18 ((~![B: $i] : ((~less_3(B)) | (v124(constB49, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v124(constB49, bitIndex1) <=> b001(bitIndex1)))),
% 8.66/6.18 inference(quant_inst,[status(thm)],[])).
% 8.66/6.18 tff(14054,plain,
% 8.66/6.18 ((~![B: $i] : ((~less_3(B)) | (v124(constB49, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v124(constB49, bitIndex1) <=> b001(bitIndex1))),
% 8.66/6.18 inference(modus_ponens,[status(thm)],[14053, 14052])).
% 8.66/6.18 tff(14055,plain,
% 8.66/6.18 (v124(constB49, bitIndex1) <=> b001(bitIndex1)),
% 8.66/6.18 inference(unit_resolution,[status(thm)],[14054, 9785, 13989])).
% 8.66/6.18 tff(14056,plain,
% 8.66/6.18 ((~(v124(constB49, bitIndex1) <=> b001(bitIndex1))) | (~v124(constB49, bitIndex1)) | b001(bitIndex1)),
% 8.66/6.18 inference(tautology,[status(thm)],[])).
% 8.66/6.18 tff(14057,plain,
% 8.66/6.18 ((~(v124(constB49, bitIndex1) <=> b001(bitIndex1))) | (~v124(constB49, bitIndex1))),
% 8.66/6.18 inference(unit_resolution,[status(thm)],[14056, 10045])).
% 8.66/6.18 tff(14058,plain,
% 8.66/6.18 (~v124(constB49, bitIndex1)),
% 8.66/6.18 inference(unit_resolution,[status(thm)],[14057, 14055])).
% 8.66/6.18 tff(14059,plain,
% 8.66/6.18 ((~(v121(constB49, bitIndex1) <=> v124(constB49, bitIndex1))) | (~v121(constB49, bitIndex1)) | v124(constB49, bitIndex1)),
% 8.66/6.18 inference(tautology,[status(thm)],[])).
% 8.66/6.18 tff(14060,plain,
% 8.66/6.18 (~v121(constB49, bitIndex1)),
% 8.66/6.18 inference(unit_resolution,[status(thm)],[14059, 14058, 14051])).
% 8.66/6.18 tff(14061,plain,
% 8.66/6.18 ((~(v123(constB50, bitIndex1) <=> v121(constB49, bitIndex1))) | (~v123(constB50, bitIndex1)) | v121(constB49, bitIndex1)),
% 8.66/6.18 inference(tautology,[status(thm)],[])).
% 8.66/6.18 tff(14062,plain,
% 8.66/6.18 (~v123(constB50, bitIndex1)),
% 8.66/6.18 inference(unit_resolution,[status(thm)],[14061, 14060, 14047])).
% 8.66/6.18 tff(14063,plain,
% 8.66/6.18 ((~(v84(constB50, bitIndex1) <=> v123(constB50, bitIndex1))) | (~v84(constB50, bitIndex1)) | v123(constB50, bitIndex1)),
% 8.66/6.18 inference(tautology,[status(thm)],[])).
% 8.66/6.18 tff(14064,plain,
% 8.66/6.18 (~v84(constB50, bitIndex1)),
% 8.66/6.18 inference(unit_resolution,[status(thm)],[14063, 14062, 14043])).
% 8.66/6.18 tff(14065,plain,
% 8.66/6.18 ((~(v84(constB51, bitIndex1) <=> v84(constB50, bitIndex1))) | (~v84(constB51, bitIndex1)) | v84(constB50, bitIndex1)),
% 8.66/6.18 inference(tautology,[status(thm)],[])).
% 8.66/6.18 tff(14066,plain,
% 8.66/6.18 (~v84(constB51, bitIndex1)),
% 8.66/6.18 inference(unit_resolution,[status(thm)],[14065, 14064, 14039])).
% 8.66/6.18 tff(14067,plain,
% 8.66/6.18 ((~(v84(constB51, bitIndex2) | v84(constB51, bitIndex1) | (~v84(constB51, bitIndex0)))) | v84(constB51, bitIndex2) | v84(constB51, bitIndex1) | (~v84(constB51, bitIndex0))),
% 8.66/6.18 inference(tautology,[status(thm)],[])).
% 8.66/6.18 tff(14068,plain,
% 8.66/6.18 (~(v84(constB51, bitIndex2) | v84(constB51, bitIndex1) | (~v84(constB51, bitIndex0)))),
% 8.66/6.18 inference(unit_resolution,[status(thm)],[14067, 14066, 14035, 14004])).
% 8.66/6.18 tff(14069,plain,
% 8.66/6.18 ((~(v114(constB51) <=> (~(v84(constB51, bitIndex2) | v84(constB51, bitIndex1) | (~v84(constB51, bitIndex0)))))) | v114(constB51) | (v84(constB51, bitIndex2) | v84(constB51, bitIndex1) | (~v84(constB51, bitIndex0)))),
% 8.66/6.18 inference(tautology,[status(thm)],[])).
% 8.66/6.18 tff(14070,plain,
% 8.66/6.18 (v114(constB51)),
% 8.66/6.18 inference(unit_resolution,[status(thm)],[14069, 14068, 7448])).
% 8.66/6.18 tff(14071,plain,
% 8.66/6.18 ((v113(constB51) | v114(constB51)) | (~v114(constB51))),
% 8.66/6.18 inference(tautology,[status(thm)],[])).
% 8.66/6.18 tff(14072,plain,
% 8.66/6.18 (v113(constB51) | v114(constB51)),
% 8.66/6.18 inference(unit_resolution,[status(thm)],[14071, 14070])).
% 8.66/6.18 tff(14073,plain,
% 8.66/6.18 ((~(v112(constB51) <=> (v113(constB51) | v114(constB51)))) | v112(constB51) | (~(v113(constB51) | v114(constB51)))),
% 8.66/6.18 inference(tautology,[status(thm)],[])).
% 8.66/6.18 tff(14074,plain,
% 8.66/6.18 (v112(constB51)),
% 8.66/6.18 inference(unit_resolution,[status(thm)],[14073, 14072, 7441])).
% 8.66/6.18 tff(14075,plain,
% 8.66/6.18 ((v112(constB51) | v115(constB51)) | (~v112(constB51))),
% 8.66/6.18 inference(tautology,[status(thm)],[])).
% 8.66/6.18 tff(14076,plain,
% 8.66/6.18 (v112(constB51) | v115(constB51)),
% 8.66/6.18 inference(unit_resolution,[status(thm)],[14075, 14074])).
% 8.66/6.18 tff(14077,plain,
% 8.66/6.18 ((~(v111(constB51) <=> (v112(constB51) | v115(constB51)))) | v111(constB51) | (~(v112(constB51) | v115(constB51)))),
% 8.66/6.18 inference(tautology,[status(thm)],[])).
% 8.66/6.18 tff(14078,plain,
% 8.66/6.18 (v111(constB51)),
% 8.66/6.18 inference(unit_resolution,[status(thm)],[14077, 14076, 7439])).
% 8.66/6.18 tff(14079,plain,
% 8.66/6.18 ((v111(constB51) | v116(constB51)) | (~v111(constB51))),
% 8.66/6.18 inference(tautology,[status(thm)],[])).
% 8.66/6.18 tff(14080,plain,
% 8.66/6.18 (v111(constB51) | v116(constB51)),
% 8.66/6.18 inference(unit_resolution,[status(thm)],[14079, 14078])).
% 8.66/6.18 tff(14081,plain,
% 8.66/6.18 ((~(v110(constB51) <=> (v111(constB51) | v116(constB51)))) | v110(constB51) | (~(v111(constB51) | v116(constB51)))),
% 8.66/6.18 inference(tautology,[status(thm)],[])).
% 8.66/6.18 tff(14082,plain,
% 8.66/6.18 (v110(constB51)),
% 8.66/6.18 inference(unit_resolution,[status(thm)],[14081, 14080, 7437])).
% 8.66/6.18 tff(14083,plain,
% 8.66/6.18 ((v110(constB51) | v117(constB51)) | (~v110(constB51))),
% 8.66/6.18 inference(tautology,[status(thm)],[])).
% 8.66/6.18 tff(14084,plain,
% 8.66/6.18 (v110(constB51) | v117(constB51)),
% 8.66/6.18 inference(unit_resolution,[status(thm)],[14083, 14082])).
% 8.66/6.18 tff(14085,plain,
% 8.66/6.18 ((~(v109(constB51) <=> (v110(constB51) | v117(constB51)))) | v109(constB51) | (~(v110(constB51) | v117(constB51)))),
% 8.66/6.18 inference(tautology,[status(thm)],[])).
% 8.66/6.18 tff(14086,plain,
% 8.66/6.18 (v109(constB51)),
% 8.66/6.18 inference(unit_resolution,[status(thm)],[14085, 14084, 7435])).
% 8.66/6.18 tff(14087,plain,
% 8.66/6.18 ((v109(constB51) | v118(constB51)) | (~v109(constB51))),
% 8.66/6.18 inference(tautology,[status(thm)],[])).
% 8.66/6.18 tff(14088,plain,
% 8.66/6.18 (v109(constB51) | v118(constB51)),
% 8.66/6.18 inference(unit_resolution,[status(thm)],[14087, 14086])).
% 8.66/6.18 tff(14089,plain,
% 8.66/6.18 ((~(v108(constB51) <=> (v109(constB51) | v118(constB51)))) | v108(constB51) | (~(v109(constB51) | v118(constB51)))),
% 8.66/6.18 inference(tautology,[status(thm)],[])).
% 8.66/6.18 tff(14090,plain,
% 8.66/6.18 (v108(constB51)),
% 8.66/6.18 inference(unit_resolution,[status(thm)],[14089, 14088, 7433])).
% 8.66/6.18 tff(14091,plain,
% 8.66/6.18 ((v108(constB51) | v119(constB51)) | (~v108(constB51))),
% 8.66/6.18 inference(tautology,[status(thm)],[])).
% 8.66/6.18 tff(14092,plain,
% 8.66/6.18 (v108(constB51) | v119(constB51)),
% 8.66/6.18 inference(unit_resolution,[status(thm)],[14091, 14090])).
% 8.66/6.18 tff(14093,plain,
% 8.66/6.18 ((~(v107(constB51) <=> (v108(constB51) | v119(constB51)))) | v107(constB51) | (~(v108(constB51) | v119(constB51)))),
% 8.66/6.18 inference(tautology,[status(thm)],[])).
% 8.66/6.18 tff(14094,plain,
% 8.66/6.18 (v107(constB51)),
% 8.66/6.18 inference(unit_resolution,[status(thm)],[14093, 14092, 7431])).
% 8.66/6.18 tff(14095,plain,
% 8.66/6.18 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB51)) <=> v105(constB51))),
% 8.66/6.18 inference(quant_inst,[status(thm)],[])).
% 8.66/6.18 tff(14096,plain,
% 8.66/6.18 ((~v120(constB51)) <=> v105(constB51)),
% 8.66/6.18 inference(unit_resolution,[status(thm)],[14095, 9842])).
% 8.66/6.18 tff(14097,plain,
% 8.66/6.18 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB51) <=> v26(constB51))),
% 8.66/6.18 inference(quant_inst,[status(thm)],[])).
% 8.66/6.18 tff(14098,plain,
% 8.66/6.18 (v105(constB51) <=> v26(constB51)),
% 8.66/6.18 inference(unit_resolution,[status(thm)],[14097, 9854])).
% 8.66/6.18 tff(14099,plain,
% 8.66/6.18 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB51))),
% 8.66/6.18 inference(quant_inst,[status(thm)],[])).
% 8.66/6.18 tff(14100,plain,
% 8.66/6.18 (~v26(constB51)),
% 8.66/6.18 inference(unit_resolution,[status(thm)],[14099, 9866])).
% 8.66/6.18 tff(14101,plain,
% 8.66/6.18 ((~(v105(constB51) <=> v26(constB51))) | (~v105(constB51)) | v26(constB51)),
% 8.66/6.18 inference(tautology,[status(thm)],[])).
% 8.66/6.18 tff(14102,plain,
% 8.66/6.18 ((~(v105(constB51) <=> v26(constB51))) | (~v105(constB51))),
% 8.66/6.18 inference(unit_resolution,[status(thm)],[14101, 14100])).
% 8.66/6.18 tff(14103,plain,
% 8.66/6.18 (~v105(constB51)),
% 8.66/6.18 inference(unit_resolution,[status(thm)],[14102, 14098])).
% 8.66/6.18 tff(14104,plain,
% 8.66/6.18 ((~((~v120(constB51)) <=> v105(constB51))) | v120(constB51) | v105(constB51)),
% 8.66/6.18 inference(tautology,[status(thm)],[])).
% 8.66/6.18 tff(14105,plain,
% 8.66/6.18 ((~((~v120(constB51)) <=> v105(constB51))) | v120(constB51)),
% 8.66/6.18 inference(unit_resolution,[status(thm)],[14104, 14103])).
% 8.66/6.18 tff(14106,plain,
% 8.66/6.18 (v120(constB51)),
% 8.66/6.18 inference(unit_resolution,[status(thm)],[14105, 14096])).
% 8.66/6.18 tff(14107,plain,
% 8.66/6.18 ((~((~v107(constB51)) | (~v120(constB51)))) | (~v107(constB51)) | (~v120(constB51))),
% 8.66/6.18 inference(tautology,[status(thm)],[])).
% 8.66/6.18 tff(14108,plain,
% 8.66/6.18 ((~((~v107(constB51)) | (~v120(constB51)))) | (~v107(constB51))),
% 8.66/6.18 inference(unit_resolution,[status(thm)],[14107, 14106])).
% 8.66/6.18 tff(14109,plain,
% 8.66/6.18 (~((~v107(constB51)) | (~v120(constB51)))),
% 8.66/6.18 inference(unit_resolution,[status(thm)],[14108, 14094])).
% 8.66/6.18 tff(14110,plain,
% 8.66/6.18 ((~(v106(constB51) <=> (~((~v107(constB51)) | (~v120(constB51)))))) | v106(constB51) | ((~v107(constB51)) | (~v120(constB51)))),
% 8.66/6.18 inference(tautology,[status(thm)],[])).
% 8.66/6.18 tff(14111,plain,
% 8.66/6.18 (v106(constB51)),
% 8.66/6.18 inference(unit_resolution,[status(thm)],[14110, 14109, 7429])).
% 8.66/6.18 tff(14112,plain,
% 8.66/6.18 ((v105(constB51) | v106(constB51)) | (~v106(constB51))),
% 8.66/6.18 inference(tautology,[status(thm)],[])).
% 8.66/6.18 tff(14113,plain,
% 8.66/6.18 (v105(constB51) | v106(constB51)),
% 8.66/6.18 inference(unit_resolution,[status(thm)],[14112, 14111])).
% 8.66/6.18 tff(14114,plain,
% 8.66/6.18 ((~(v102(constB51) <=> (v105(constB51) | v106(constB51)))) | v102(constB51) | (~(v105(constB51) | v106(constB51)))),
% 8.66/6.18 inference(tautology,[status(thm)],[])).
% 8.66/6.18 tff(14115,plain,
% 8.66/6.18 (v102(constB51)),
% 8.66/6.18 inference(unit_resolution,[status(thm)],[14114, 14113, 7427])).
% 8.66/6.18 tff(14116,plain,
% 8.66/6.18 ((~(v104(constB52) <=> v102(constB51))) | v104(constB52) | (~v102(constB51))),
% 8.66/6.18 inference(tautology,[status(thm)],[])).
% 8.66/6.18 tff(14117,plain,
% 8.66/6.18 (v104(constB52)),
% 8.66/6.18 inference(unit_resolution,[status(thm)],[14116, 14115, 7425])).
% 8.66/6.18 tff(14118,plain,
% 8.66/6.18 ((~((~v104(constB52)) | (~v95(constB52)))) | (~v104(constB52)) | (~v95(constB52))),
% 8.66/6.18 inference(tautology,[status(thm)],[])).
% 8.66/6.18 tff(14119,plain,
% 8.66/6.18 (~((~v104(constB52)) | (~v95(constB52)))),
% 8.66/6.18 inference(unit_resolution,[status(thm)],[14118, 14117, 7421])).
% 8.66/6.18 tff(14120,plain,
% 8.66/6.18 ((~(v94(constB52) <=> (~((~v104(constB52)) | (~v95(constB52)))))) | v94(constB52) | ((~v104(constB52)) | (~v95(constB52)))),
% 8.66/6.18 inference(tautology,[status(thm)],[])).
% 8.66/6.18 tff(14121,plain,
% 8.66/6.18 (v94(constB52)),
% 8.66/6.18 inference(unit_resolution,[status(thm)],[14120, 14119, 7390])).
% 8.66/6.18 tff(14122,plain,
% 8.66/6.18 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB52)) | ![B: $i] : ((~less_3(B)) | (v84(constB52, B) <=> v123(constB52, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB52)) | ![B: $i] : ((~less_3(B)) | (v84(constB52, B) <=> v123(constB52, B))))),
% 8.66/6.18 inference(rewrite,[status(thm)],[])).
% 8.66/6.18 tff(14123,plain,
% 8.66/6.18 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB52)) | ![B: $i] : ((~less_3(B)) | (v84(constB52, B) <=> v123(constB52, B))))),
% 8.66/6.18 inference(quant_inst,[status(thm)],[])).
% 8.66/6.18 tff(14124,plain,
% 8.66/6.18 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB52)) | ![B: $i] : ((~less_3(B)) | (v84(constB52, B) <=> v123(constB52, B)))),
% 8.66/6.18 inference(modus_ponens,[status(thm)],[14123, 14122])).
% 8.66/6.18 tff(14125,plain,
% 8.66/6.18 ((~v94(constB52)) | ![B: $i] : ((~less_3(B)) | (v84(constB52, B) <=> v123(constB52, B)))),
% 8.66/6.18 inference(unit_resolution,[status(thm)],[14124, 9902])).
% 8.66/6.18 tff(14126,plain,
% 8.66/6.18 (![B: $i] : ((~less_3(B)) | (v84(constB52, B) <=> v123(constB52, B)))),
% 8.66/6.18 inference(unit_resolution,[status(thm)],[14125, 14121])).
% 8.66/6.18 tff(14127,plain,
% 8.66/6.18 (((~![B: $i] : ((~less_3(B)) | (v84(constB52, B) <=> v123(constB52, B)))) | ((~less_3(bitIndex2)) | (v84(constB52, bitIndex2) <=> v123(constB52, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB52, B) <=> v123(constB52, B)))) | (~less_3(bitIndex2)) | (v84(constB52, bitIndex2) <=> v123(constB52, bitIndex2)))),
% 8.66/6.18 inference(rewrite,[status(thm)],[])).
% 8.66/6.18 tff(14128,plain,
% 8.66/6.18 ((~![B: $i] : ((~less_3(B)) | (v84(constB52, B) <=> v123(constB52, B)))) | ((~less_3(bitIndex2)) | (v84(constB52, bitIndex2) <=> v123(constB52, bitIndex2)))),
% 8.66/6.18 inference(quant_inst,[status(thm)],[])).
% 8.66/6.18 tff(14129,plain,
% 8.66/6.18 ((~![B: $i] : ((~less_3(B)) | (v84(constB52, B) <=> v123(constB52, B)))) | (~less_3(bitIndex2)) | (v84(constB52, bitIndex2) <=> v123(constB52, bitIndex2))),
% 8.66/6.18 inference(modus_ponens,[status(thm)],[14128, 14127])).
% 8.66/6.18 tff(14130,plain,
% 8.66/6.18 (v84(constB52, bitIndex2) <=> v123(constB52, bitIndex2)),
% 8.66/6.18 inference(unit_resolution,[status(thm)],[14129, 832, 14126])).
% 8.66/6.18 tff(14131,plain,
% 8.66/6.18 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB51, constB52)) | ![B: $i] : ((~less_3(B)) | (v123(constB52, B) <=> v121(constB51, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB51, constB52)) | ![B: $i] : ((~less_3(B)) | (v123(constB52, B) <=> v121(constB51, B))))),
% 8.66/6.18 inference(rewrite,[status(thm)],[])).
% 8.66/6.18 tff(14132,plain,
% 8.66/6.18 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB51, constB52)) | ![B: $i] : ((~less_3(B)) | (v123(constB52, B) <=> v121(constB51, B))))),
% 8.66/6.18 inference(quant_inst,[status(thm)],[])).
% 8.66/6.18 tff(14133,plain,
% 8.66/6.18 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB51, constB52)) | ![B: $i] : ((~less_3(B)) | (v123(constB52, B) <=> v121(constB51, B)))),
% 8.66/6.18 inference(modus_ponens,[status(thm)],[14132, 14131])).
% 8.66/6.18 tff(14134,plain,
% 8.66/6.18 (![B: $i] : ((~less_3(B)) | (v123(constB52, B) <=> v121(constB51, B)))),
% 8.66/6.18 inference(unit_resolution,[status(thm)],[14133, 7386, 9924])).
% 8.66/6.18 tff(14135,plain,
% 8.66/6.18 (((~![B: $i] : ((~less_3(B)) | (v123(constB52, B) <=> v121(constB51, B)))) | ((~less_3(bitIndex2)) | (v123(constB52, bitIndex2) <=> v121(constB51, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB52, B) <=> v121(constB51, B)))) | (~less_3(bitIndex2)) | (v123(constB52, bitIndex2) <=> v121(constB51, bitIndex2)))),
% 8.66/6.18 inference(rewrite,[status(thm)],[])).
% 8.66/6.18 tff(14136,plain,
% 8.66/6.18 ((~![B: $i] : ((~less_3(B)) | (v123(constB52, B) <=> v121(constB51, B)))) | ((~less_3(bitIndex2)) | (v123(constB52, bitIndex2) <=> v121(constB51, bitIndex2)))),
% 8.66/6.18 inference(quant_inst,[status(thm)],[])).
% 8.66/6.18 tff(14137,plain,
% 8.66/6.18 ((~![B: $i] : ((~less_3(B)) | (v123(constB52, B) <=> v121(constB51, B)))) | (~less_3(bitIndex2)) | (v123(constB52, bitIndex2) <=> v121(constB51, bitIndex2))),
% 8.66/6.18 inference(modus_ponens,[status(thm)],[14136, 14135])).
% 8.66/6.18 tff(14138,plain,
% 8.66/6.18 (v123(constB52, bitIndex2) <=> v121(constB51, bitIndex2)),
% 8.66/6.18 inference(unit_resolution,[status(thm)],[14137, 832, 14134])).
% 8.66/6.18 tff(14139,plain,
% 8.66/6.18 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB51) | ![B: $i] : ((~less_3(B)) | (v121(constB51, B) <=> v124(constB51, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB51) | ![B: $i] : ((~less_3(B)) | (v121(constB51, B) <=> v124(constB51, B))))),
% 8.66/6.18 inference(rewrite,[status(thm)],[])).
% 8.66/6.18 tff(14140,plain,
% 8.66/6.18 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB51) | ![B: $i] : ((~less_3(B)) | (v121(constB51, B) <=> v124(constB51, B))))),
% 8.66/6.18 inference(quant_inst,[status(thm)],[])).
% 8.66/6.18 tff(14141,plain,
% 8.66/6.18 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB51) | ![B: $i] : ((~less_3(B)) | (v121(constB51, B) <=> v124(constB51, B)))),
% 8.66/6.18 inference(modus_ponens,[status(thm)],[14140, 14139])).
% 8.66/6.18 tff(14142,plain,
% 8.66/6.18 (![B: $i] : ((~less_3(B)) | (v121(constB51, B) <=> v124(constB51, B)))),
% 8.66/6.18 inference(unit_resolution,[status(thm)],[14141, 9945, 14103])).
% 8.66/6.18 tff(14143,plain,
% 8.66/6.18 (((~![B: $i] : ((~less_3(B)) | (v121(constB51, B) <=> v124(constB51, B)))) | ((~less_3(bitIndex2)) | (v121(constB51, bitIndex2) <=> v124(constB51, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB51, B) <=> v124(constB51, B)))) | (~less_3(bitIndex2)) | (v121(constB51, bitIndex2) <=> v124(constB51, bitIndex2)))),
% 8.66/6.18 inference(rewrite,[status(thm)],[])).
% 8.66/6.18 tff(14144,plain,
% 8.66/6.18 ((~![B: $i] : ((~less_3(B)) | (v121(constB51, B) <=> v124(constB51, B)))) | ((~less_3(bitIndex2)) | (v121(constB51, bitIndex2) <=> v124(constB51, bitIndex2)))),
% 8.66/6.18 inference(quant_inst,[status(thm)],[])).
% 8.66/6.18 tff(14145,plain,
% 8.66/6.18 ((~![B: $i] : ((~less_3(B)) | (v121(constB51, B) <=> v124(constB51, B)))) | (~less_3(bitIndex2)) | (v121(constB51, bitIndex2) <=> v124(constB51, bitIndex2))),
% 8.66/6.18 inference(modus_ponens,[status(thm)],[14144, 14143])).
% 8.66/6.18 tff(14146,plain,
% 8.66/6.18 (v121(constB51, bitIndex2) <=> v124(constB51, bitIndex2)),
% 8.66/6.18 inference(unit_resolution,[status(thm)],[14145, 832, 14142])).
% 8.66/6.18 tff(14147,plain,
% 8.66/6.18 (((~![VarCurr: $i] : ((~v114(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b010(B))))) | ((~v114(constB51)) | ![B: $i] : ((~less_3(B)) | (v124(constB51, B) <=> b010(B))))) <=> ((~![VarCurr: $i] : ((~v114(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b010(B))))) | (~v114(constB51)) | ![B: $i] : ((~less_3(B)) | (v124(constB51, B) <=> b010(B))))),
% 8.66/6.18 inference(rewrite,[status(thm)],[])).
% 8.66/6.18 tff(14148,plain,
% 8.66/6.18 ((~![VarCurr: $i] : ((~v114(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b010(B))))) | ((~v114(constB51)) | ![B: $i] : ((~less_3(B)) | (v124(constB51, B) <=> b010(B))))),
% 8.66/6.18 inference(quant_inst,[status(thm)],[])).
% 8.66/6.18 tff(14149,plain,
% 8.66/6.18 ((~![VarCurr: $i] : ((~v114(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b010(B))))) | (~v114(constB51)) | ![B: $i] : ((~less_3(B)) | (v124(constB51, B) <=> b010(B)))),
% 8.66/6.18 inference(modus_ponens,[status(thm)],[14148, 14147])).
% 8.66/6.18 tff(14150,plain,
% 8.66/6.18 ((~v114(constB51)) | ![B: $i] : ((~less_3(B)) | (v124(constB51, B) <=> b010(B)))),
% 8.66/6.18 inference(unit_resolution,[status(thm)],[14149, 10149])).
% 8.66/6.18 tff(14151,plain,
% 8.66/6.18 (![B: $i] : ((~less_3(B)) | (v124(constB51, B) <=> b010(B)))),
% 8.66/6.18 inference(unit_resolution,[status(thm)],[14150, 14070])).
% 8.66/6.18 tff(14152,plain,
% 8.66/6.18 (((~![B: $i] : ((~less_3(B)) | (v124(constB51, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v124(constB51, bitIndex2) <=> b010(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB51, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v124(constB51, bitIndex2) <=> b010(bitIndex2)))),
% 8.66/6.18 inference(rewrite,[status(thm)],[])).
% 8.66/6.18 tff(14153,plain,
% 8.66/6.18 ((~![B: $i] : ((~less_3(B)) | (v124(constB51, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v124(constB51, bitIndex2) <=> b010(bitIndex2)))),
% 8.66/6.18 inference(quant_inst,[status(thm)],[])).
% 8.66/6.18 tff(14154,plain,
% 8.66/6.18 ((~![B: $i] : ((~less_3(B)) | (v124(constB51, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v124(constB51, bitIndex2) <=> b010(bitIndex2))),
% 8.66/6.18 inference(modus_ponens,[status(thm)],[14153, 14152])).
% 8.66/6.18 tff(14155,plain,
% 8.66/6.18 (v124(constB51, bitIndex2) <=> b010(bitIndex2)),
% 8.66/6.18 inference(unit_resolution,[status(thm)],[14154, 832, 14151])).
% 8.66/6.18 tff(14156,plain,
% 8.66/6.18 ((~(v124(constB51, bitIndex2) <=> b010(bitIndex2))) | (~v124(constB51, bitIndex2)) | b010(bitIndex2)),
% 8.66/6.18 inference(tautology,[status(thm)],[])).
% 8.66/6.18 tff(14157,plain,
% 8.66/6.18 ((~(v124(constB51, bitIndex2) <=> b010(bitIndex2))) | (~v124(constB51, bitIndex2))),
% 8.66/6.18 inference(unit_resolution,[status(thm)],[14156, 10161])).
% 8.66/6.18 tff(14158,plain,
% 8.66/6.18 (~v124(constB51, bitIndex2)),
% 8.66/6.18 inference(unit_resolution,[status(thm)],[14157, 14155])).
% 8.66/6.18 tff(14159,plain,
% 8.66/6.18 ((~(v121(constB51, bitIndex2) <=> v124(constB51, bitIndex2))) | (~v121(constB51, bitIndex2)) | v124(constB51, bitIndex2)),
% 8.66/6.18 inference(tautology,[status(thm)],[])).
% 8.66/6.18 tff(14160,plain,
% 8.66/6.18 (~v121(constB51, bitIndex2)),
% 8.66/6.18 inference(unit_resolution,[status(thm)],[14159, 14158, 14146])).
% 8.66/6.18 tff(14161,plain,
% 8.66/6.18 ((~(v123(constB52, bitIndex2) <=> v121(constB51, bitIndex2))) | (~v123(constB52, bitIndex2)) | v121(constB51, bitIndex2)),
% 8.66/6.18 inference(tautology,[status(thm)],[])).
% 8.66/6.18 tff(14162,plain,
% 8.66/6.18 (~v123(constB52, bitIndex2)),
% 8.66/6.18 inference(unit_resolution,[status(thm)],[14161, 14160, 14138])).
% 8.66/6.18 tff(14163,plain,
% 8.66/6.18 ((~(v84(constB52, bitIndex2) <=> v123(constB52, bitIndex2))) | (~v84(constB52, bitIndex2)) | v123(constB52, bitIndex2)),
% 8.66/6.18 inference(tautology,[status(thm)],[])).
% 8.66/6.18 tff(14164,plain,
% 8.66/6.18 (~v84(constB52, bitIndex2)),
% 8.66/6.18 inference(unit_resolution,[status(thm)],[14163, 14162, 14130])).
% 8.66/6.18 tff(14165,plain,
% 8.66/6.18 ((~(v84(constB53, bitIndex2) <=> v84(constB52, bitIndex2))) | (~v84(constB53, bitIndex2)) | v84(constB52, bitIndex2)),
% 8.66/6.18 inference(tautology,[status(thm)],[])).
% 8.66/6.18 tff(14166,plain,
% 8.66/6.18 (~v84(constB53, bitIndex2)),
% 8.66/6.18 inference(unit_resolution,[status(thm)],[14165, 14164, 7383])).
% 8.66/6.18 tff(14167,plain,
% 8.66/6.18 (((~![B: $i] : ((~less_3(B)) | (v84(constB53, B) <=> v84(constB52, B)))) | ((~less_3(bitIndex0)) | (v84(constB53, bitIndex0) <=> v84(constB52, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB53, B) <=> v84(constB52, B)))) | (~less_3(bitIndex0)) | (v84(constB53, bitIndex0) <=> v84(constB52, bitIndex0)))),
% 8.66/6.18 inference(rewrite,[status(thm)],[])).
% 8.66/6.18 tff(14168,plain,
% 8.66/6.18 ((~![B: $i] : ((~less_3(B)) | (v84(constB53, B) <=> v84(constB52, B)))) | ((~less_3(bitIndex0)) | (v84(constB53, bitIndex0) <=> v84(constB52, bitIndex0)))),
% 8.66/6.18 inference(quant_inst,[status(thm)],[])).
% 8.66/6.18 tff(14169,plain,
% 8.66/6.18 ((~![B: $i] : ((~less_3(B)) | (v84(constB53, B) <=> v84(constB52, B)))) | (~less_3(bitIndex0)) | (v84(constB53, bitIndex0) <=> v84(constB52, bitIndex0))),
% 8.66/6.18 inference(modus_ponens,[status(thm)],[14168, 14167])).
% 8.66/6.18 tff(14170,plain,
% 8.66/6.18 (v84(constB53, bitIndex0) <=> v84(constB52, bitIndex0)),
% 8.66/6.18 inference(unit_resolution,[status(thm)],[14169, 9772, 7379])).
% 8.66/6.18 tff(14171,plain,
% 8.66/6.18 (((~![B: $i] : ((~less_3(B)) | (v84(constB52, B) <=> v123(constB52, B)))) | ((~less_3(bitIndex0)) | (v84(constB52, bitIndex0) <=> v123(constB52, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB52, B) <=> v123(constB52, B)))) | (~less_3(bitIndex0)) | (v84(constB52, bitIndex0) <=> v123(constB52, bitIndex0)))),
% 8.66/6.18 inference(rewrite,[status(thm)],[])).
% 8.66/6.18 tff(14172,plain,
% 8.66/6.18 ((~![B: $i] : ((~less_3(B)) | (v84(constB52, B) <=> v123(constB52, B)))) | ((~less_3(bitIndex0)) | (v84(constB52, bitIndex0) <=> v123(constB52, bitIndex0)))),
% 8.66/6.18 inference(quant_inst,[status(thm)],[])).
% 8.66/6.18 tff(14173,plain,
% 8.66/6.18 ((~![B: $i] : ((~less_3(B)) | (v84(constB52, B) <=> v123(constB52, B)))) | (~less_3(bitIndex0)) | (v84(constB52, bitIndex0) <=> v123(constB52, bitIndex0))),
% 8.66/6.18 inference(modus_ponens,[status(thm)],[14172, 14171])).
% 8.66/6.18 tff(14174,plain,
% 8.66/6.18 (v84(constB52, bitIndex0) <=> v123(constB52, bitIndex0)),
% 8.66/6.18 inference(unit_resolution,[status(thm)],[14173, 9772, 14126])).
% 8.66/6.18 tff(14175,plain,
% 8.66/6.18 (((~![B: $i] : ((~less_3(B)) | (v123(constB52, B) <=> v121(constB51, B)))) | ((~less_3(bitIndex0)) | (v123(constB52, bitIndex0) <=> v121(constB51, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB52, B) <=> v121(constB51, B)))) | (~less_3(bitIndex0)) | (v123(constB52, bitIndex0) <=> v121(constB51, bitIndex0)))),
% 8.66/6.18 inference(rewrite,[status(thm)],[])).
% 8.66/6.18 tff(14176,plain,
% 8.66/6.18 ((~![B: $i] : ((~less_3(B)) | (v123(constB52, B) <=> v121(constB51, B)))) | ((~less_3(bitIndex0)) | (v123(constB52, bitIndex0) <=> v121(constB51, bitIndex0)))),
% 8.66/6.18 inference(quant_inst,[status(thm)],[])).
% 8.66/6.18 tff(14177,plain,
% 8.66/6.18 ((~![B: $i] : ((~less_3(B)) | (v123(constB52, B) <=> v121(constB51, B)))) | (~less_3(bitIndex0)) | (v123(constB52, bitIndex0) <=> v121(constB51, bitIndex0))),
% 8.66/6.18 inference(modus_ponens,[status(thm)],[14176, 14175])).
% 8.66/6.18 tff(14178,plain,
% 8.66/6.18 (v123(constB52, bitIndex0) <=> v121(constB51, bitIndex0)),
% 8.66/6.18 inference(unit_resolution,[status(thm)],[14177, 9772, 14134])).
% 8.66/6.18 tff(14179,plain,
% 8.66/6.18 (((~![B: $i] : ((~less_3(B)) | (v121(constB51, B) <=> v124(constB51, B)))) | ((~less_3(bitIndex0)) | (v121(constB51, bitIndex0) <=> v124(constB51, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB51, B) <=> v124(constB51, B)))) | (~less_3(bitIndex0)) | (v121(constB51, bitIndex0) <=> v124(constB51, bitIndex0)))),
% 8.66/6.18 inference(rewrite,[status(thm)],[])).
% 8.66/6.18 tff(14180,plain,
% 8.66/6.18 ((~![B: $i] : ((~less_3(B)) | (v121(constB51, B) <=> v124(constB51, B)))) | ((~less_3(bitIndex0)) | (v121(constB51, bitIndex0) <=> v124(constB51, bitIndex0)))),
% 8.66/6.18 inference(quant_inst,[status(thm)],[])).
% 8.66/6.18 tff(14181,plain,
% 8.66/6.18 ((~![B: $i] : ((~less_3(B)) | (v121(constB51, B) <=> v124(constB51, B)))) | (~less_3(bitIndex0)) | (v121(constB51, bitIndex0) <=> v124(constB51, bitIndex0))),
% 8.66/6.18 inference(modus_ponens,[status(thm)],[14180, 14179])).
% 8.66/6.18 tff(14182,plain,
% 8.66/6.18 (v121(constB51, bitIndex0) <=> v124(constB51, bitIndex0)),
% 8.66/6.18 inference(unit_resolution,[status(thm)],[14181, 9772, 14142])).
% 8.66/6.18 tff(14183,plain,
% 8.66/6.18 (((~![B: $i] : ((~less_3(B)) | (v124(constB51, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v124(constB51, bitIndex0) <=> b010(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB51, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v124(constB51, bitIndex0) <=> b010(bitIndex0)))),
% 8.66/6.18 inference(rewrite,[status(thm)],[])).
% 8.66/6.18 tff(14184,plain,
% 8.66/6.18 ((~![B: $i] : ((~less_3(B)) | (v124(constB51, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v124(constB51, bitIndex0) <=> b010(bitIndex0)))),
% 8.66/6.18 inference(quant_inst,[status(thm)],[])).
% 8.66/6.18 tff(14185,plain,
% 8.66/6.18 ((~![B: $i] : ((~less_3(B)) | (v124(constB51, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v124(constB51, bitIndex0) <=> b010(bitIndex0))),
% 8.66/6.18 inference(modus_ponens,[status(thm)],[14184, 14183])).
% 8.66/6.18 tff(14186,plain,
% 8.66/6.18 (v124(constB51, bitIndex0) <=> b010(bitIndex0)),
% 8.66/6.18 inference(unit_resolution,[status(thm)],[14185, 9772, 14151])).
% 8.66/6.18 tff(14187,plain,
% 8.66/6.18 ((~(v124(constB51, bitIndex0) <=> b010(bitIndex0))) | (~v124(constB51, bitIndex0)) | b010(bitIndex0)),
% 8.66/6.18 inference(tautology,[status(thm)],[])).
% 8.66/6.18 tff(14188,plain,
% 8.66/6.18 ((~(v124(constB51, bitIndex0) <=> b010(bitIndex0))) | (~v124(constB51, bitIndex0))),
% 8.66/6.18 inference(unit_resolution,[status(thm)],[14187, 10195])).
% 8.66/6.18 tff(14189,plain,
% 8.66/6.18 (~v124(constB51, bitIndex0)),
% 8.66/6.18 inference(unit_resolution,[status(thm)],[14188, 14186])).
% 8.66/6.18 tff(14190,plain,
% 8.66/6.18 ((~(v121(constB51, bitIndex0) <=> v124(constB51, bitIndex0))) | (~v121(constB51, bitIndex0)) | v124(constB51, bitIndex0)),
% 8.66/6.18 inference(tautology,[status(thm)],[])).
% 8.66/6.18 tff(14191,plain,
% 8.66/6.18 (~v121(constB51, bitIndex0)),
% 8.66/6.18 inference(unit_resolution,[status(thm)],[14190, 14189, 14182])).
% 8.66/6.18 tff(14192,plain,
% 8.66/6.18 ((~(v123(constB52, bitIndex0) <=> v121(constB51, bitIndex0))) | (~v123(constB52, bitIndex0)) | v121(constB51, bitIndex0)),
% 8.66/6.18 inference(tautology,[status(thm)],[])).
% 8.66/6.18 tff(14193,plain,
% 8.66/6.18 (~v123(constB52, bitIndex0)),
% 8.66/6.18 inference(unit_resolution,[status(thm)],[14192, 14191, 14178])).
% 8.66/6.18 tff(14194,plain,
% 8.66/6.18 ((~(v84(constB52, bitIndex0) <=> v123(constB52, bitIndex0))) | (~v84(constB52, bitIndex0)) | v123(constB52, bitIndex0)),
% 8.66/6.18 inference(tautology,[status(thm)],[])).
% 8.66/6.18 tff(14195,plain,
% 8.66/6.18 (~v84(constB52, bitIndex0)),
% 8.66/6.18 inference(unit_resolution,[status(thm)],[14194, 14193, 14174])).
% 8.66/6.18 tff(14196,plain,
% 8.66/6.18 ((~(v84(constB53, bitIndex0) <=> v84(constB52, bitIndex0))) | (~v84(constB53, bitIndex0)) | v84(constB52, bitIndex0)),
% 8.66/6.18 inference(tautology,[status(thm)],[])).
% 8.66/6.18 tff(14197,plain,
% 8.66/6.18 (~v84(constB53, bitIndex0)),
% 8.66/6.18 inference(unit_resolution,[status(thm)],[14196, 14195, 14170])).
% 8.66/6.18 tff(14198,plain,
% 8.66/6.18 (((~![B: $i] : ((~less_3(B)) | (v84(constB53, B) <=> v84(constB52, B)))) | ((~less_3(bitIndex1)) | (v84(constB53, bitIndex1) <=> v84(constB52, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB53, B) <=> v84(constB52, B)))) | (~less_3(bitIndex1)) | (v84(constB53, bitIndex1) <=> v84(constB52, bitIndex1)))),
% 8.66/6.18 inference(rewrite,[status(thm)],[])).
% 8.66/6.18 tff(14199,plain,
% 8.66/6.18 ((~![B: $i] : ((~less_3(B)) | (v84(constB53, B) <=> v84(constB52, B)))) | ((~less_3(bitIndex1)) | (v84(constB53, bitIndex1) <=> v84(constB52, bitIndex1)))),
% 8.66/6.18 inference(quant_inst,[status(thm)],[])).
% 8.66/6.18 tff(14200,plain,
% 8.66/6.18 ((~![B: $i] : ((~less_3(B)) | (v84(constB53, B) <=> v84(constB52, B)))) | (~less_3(bitIndex1)) | (v84(constB53, bitIndex1) <=> v84(constB52, bitIndex1))),
% 8.66/6.18 inference(modus_ponens,[status(thm)],[14199, 14198])).
% 8.66/6.18 tff(14201,plain,
% 8.66/6.18 (v84(constB53, bitIndex1) <=> v84(constB52, bitIndex1)),
% 8.66/6.18 inference(unit_resolution,[status(thm)],[14200, 9785, 7379])).
% 8.66/6.18 tff(14202,plain,
% 8.66/6.18 (((~![B: $i] : ((~less_3(B)) | (v84(constB52, B) <=> v123(constB52, B)))) | ((~less_3(bitIndex1)) | (v84(constB52, bitIndex1) <=> v123(constB52, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB52, B) <=> v123(constB52, B)))) | (~less_3(bitIndex1)) | (v84(constB52, bitIndex1) <=> v123(constB52, bitIndex1)))),
% 8.66/6.18 inference(rewrite,[status(thm)],[])).
% 8.66/6.18 tff(14203,plain,
% 8.66/6.18 ((~![B: $i] : ((~less_3(B)) | (v84(constB52, B) <=> v123(constB52, B)))) | ((~less_3(bitIndex1)) | (v84(constB52, bitIndex1) <=> v123(constB52, bitIndex1)))),
% 8.66/6.19 inference(quant_inst,[status(thm)],[])).
% 8.66/6.19 tff(14204,plain,
% 8.66/6.19 ((~![B: $i] : ((~less_3(B)) | (v84(constB52, B) <=> v123(constB52, B)))) | (~less_3(bitIndex1)) | (v84(constB52, bitIndex1) <=> v123(constB52, bitIndex1))),
% 8.66/6.19 inference(modus_ponens,[status(thm)],[14203, 14202])).
% 8.66/6.19 tff(14205,plain,
% 8.66/6.19 (v84(constB52, bitIndex1) <=> v123(constB52, bitIndex1)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[14204, 9785, 14126])).
% 8.66/6.19 tff(14206,plain,
% 8.66/6.19 (((~![B: $i] : ((~less_3(B)) | (v123(constB52, B) <=> v121(constB51, B)))) | ((~less_3(bitIndex1)) | (v123(constB52, bitIndex1) <=> v121(constB51, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB52, B) <=> v121(constB51, B)))) | (~less_3(bitIndex1)) | (v123(constB52, bitIndex1) <=> v121(constB51, bitIndex1)))),
% 8.66/6.19 inference(rewrite,[status(thm)],[])).
% 8.66/6.19 tff(14207,plain,
% 8.66/6.19 ((~![B: $i] : ((~less_3(B)) | (v123(constB52, B) <=> v121(constB51, B)))) | ((~less_3(bitIndex1)) | (v123(constB52, bitIndex1) <=> v121(constB51, bitIndex1)))),
% 8.66/6.19 inference(quant_inst,[status(thm)],[])).
% 8.66/6.19 tff(14208,plain,
% 8.66/6.19 ((~![B: $i] : ((~less_3(B)) | (v123(constB52, B) <=> v121(constB51, B)))) | (~less_3(bitIndex1)) | (v123(constB52, bitIndex1) <=> v121(constB51, bitIndex1))),
% 8.66/6.19 inference(modus_ponens,[status(thm)],[14207, 14206])).
% 8.66/6.19 tff(14209,plain,
% 8.66/6.19 (v123(constB52, bitIndex1) <=> v121(constB51, bitIndex1)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[14208, 9785, 14134])).
% 8.66/6.19 tff(14210,plain,
% 8.66/6.19 (((~![B: $i] : ((~less_3(B)) | (v121(constB51, B) <=> v124(constB51, B)))) | ((~less_3(bitIndex1)) | (v121(constB51, bitIndex1) <=> v124(constB51, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB51, B) <=> v124(constB51, B)))) | (~less_3(bitIndex1)) | (v121(constB51, bitIndex1) <=> v124(constB51, bitIndex1)))),
% 8.66/6.19 inference(rewrite,[status(thm)],[])).
% 8.66/6.19 tff(14211,plain,
% 8.66/6.19 ((~![B: $i] : ((~less_3(B)) | (v121(constB51, B) <=> v124(constB51, B)))) | ((~less_3(bitIndex1)) | (v121(constB51, bitIndex1) <=> v124(constB51, bitIndex1)))),
% 8.66/6.19 inference(quant_inst,[status(thm)],[])).
% 8.66/6.19 tff(14212,plain,
% 8.66/6.19 ((~![B: $i] : ((~less_3(B)) | (v121(constB51, B) <=> v124(constB51, B)))) | (~less_3(bitIndex1)) | (v121(constB51, bitIndex1) <=> v124(constB51, bitIndex1))),
% 8.66/6.19 inference(modus_ponens,[status(thm)],[14211, 14210])).
% 8.66/6.19 tff(14213,plain,
% 8.66/6.19 (v121(constB51, bitIndex1) <=> v124(constB51, bitIndex1)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[14212, 9785, 14142])).
% 8.66/6.19 tff(14214,plain,
% 8.66/6.19 (((~![B: $i] : ((~less_3(B)) | (v124(constB51, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v124(constB51, bitIndex1) <=> b010(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB51, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v124(constB51, bitIndex1) <=> b010(bitIndex1)))),
% 8.66/6.19 inference(rewrite,[status(thm)],[])).
% 8.66/6.19 tff(14215,plain,
% 8.66/6.19 ((~![B: $i] : ((~less_3(B)) | (v124(constB51, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v124(constB51, bitIndex1) <=> b010(bitIndex1)))),
% 8.66/6.19 inference(quant_inst,[status(thm)],[])).
% 8.66/6.19 tff(14216,plain,
% 8.66/6.19 ((~![B: $i] : ((~less_3(B)) | (v124(constB51, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v124(constB51, bitIndex1) <=> b010(bitIndex1))),
% 8.66/6.19 inference(modus_ponens,[status(thm)],[14215, 14214])).
% 8.66/6.19 tff(14217,plain,
% 8.66/6.19 (v124(constB51, bitIndex1) <=> b010(bitIndex1)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[14216, 9785, 14151])).
% 8.66/6.19 tff(14218,plain,
% 8.66/6.19 ((~(v124(constB51, bitIndex1) <=> b010(bitIndex1))) | v124(constB51, bitIndex1) | (~b010(bitIndex1))),
% 8.66/6.19 inference(tautology,[status(thm)],[])).
% 8.66/6.19 tff(14219,plain,
% 8.66/6.19 ((~(v124(constB51, bitIndex1) <=> b010(bitIndex1))) | v124(constB51, bitIndex1)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[14218, 10229])).
% 8.66/6.19 tff(14220,plain,
% 8.66/6.19 (v124(constB51, bitIndex1)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[14219, 14217])).
% 8.66/6.19 tff(14221,plain,
% 8.66/6.19 ((~(v121(constB51, bitIndex1) <=> v124(constB51, bitIndex1))) | v121(constB51, bitIndex1) | (~v124(constB51, bitIndex1))),
% 8.66/6.19 inference(tautology,[status(thm)],[])).
% 8.66/6.19 tff(14222,plain,
% 8.66/6.19 (v121(constB51, bitIndex1)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[14221, 14220, 14213])).
% 8.66/6.19 tff(14223,plain,
% 8.66/6.19 ((~(v123(constB52, bitIndex1) <=> v121(constB51, bitIndex1))) | v123(constB52, bitIndex1) | (~v121(constB51, bitIndex1))),
% 8.66/6.19 inference(tautology,[status(thm)],[])).
% 8.66/6.19 tff(14224,plain,
% 8.66/6.19 (v123(constB52, bitIndex1)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[14223, 14222, 14209])).
% 8.66/6.19 tff(14225,plain,
% 8.66/6.19 ((~(v84(constB52, bitIndex1) <=> v123(constB52, bitIndex1))) | v84(constB52, bitIndex1) | (~v123(constB52, bitIndex1))),
% 8.66/6.19 inference(tautology,[status(thm)],[])).
% 8.66/6.19 tff(14226,plain,
% 8.66/6.19 (v84(constB52, bitIndex1)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[14225, 14224, 14205])).
% 8.66/6.19 tff(14227,plain,
% 8.66/6.19 ((~(v84(constB53, bitIndex1) <=> v84(constB52, bitIndex1))) | v84(constB53, bitIndex1) | (~v84(constB52, bitIndex1))),
% 8.66/6.19 inference(tautology,[status(thm)],[])).
% 8.66/6.19 tff(14228,plain,
% 8.66/6.19 (v84(constB53, bitIndex1)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[14227, 14226, 14201])).
% 8.66/6.19 tff(14229,plain,
% 8.66/6.19 ((~(v84(constB53, bitIndex2) | (~v84(constB53, bitIndex1)) | v84(constB53, bitIndex0))) | v84(constB53, bitIndex2) | (~v84(constB53, bitIndex1)) | v84(constB53, bitIndex0)),
% 8.66/6.19 inference(tautology,[status(thm)],[])).
% 8.66/6.19 tff(14230,plain,
% 8.66/6.19 (~(v84(constB53, bitIndex2) | (~v84(constB53, bitIndex1)) | v84(constB53, bitIndex0))),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[14229, 14228, 14197, 14166])).
% 8.66/6.19 tff(14231,plain,
% 8.66/6.19 ((~(v115(constB53) <=> (~(v84(constB53, bitIndex2) | (~v84(constB53, bitIndex1)) | v84(constB53, bitIndex0))))) | v115(constB53) | (v84(constB53, bitIndex2) | (~v84(constB53, bitIndex1)) | v84(constB53, bitIndex0))),
% 8.66/6.19 inference(tautology,[status(thm)],[])).
% 8.66/6.19 tff(14232,plain,
% 8.66/6.19 (v115(constB53)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[14231, 14230, 7351])).
% 8.66/6.19 tff(14233,plain,
% 8.66/6.19 ((v112(constB53) | v115(constB53)) | (~v115(constB53))),
% 8.66/6.19 inference(tautology,[status(thm)],[])).
% 8.66/6.19 tff(14234,plain,
% 8.66/6.19 (v112(constB53) | v115(constB53)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[14233, 14232])).
% 8.66/6.19 tff(14235,plain,
% 8.66/6.19 ((~(v111(constB53) <=> (v112(constB53) | v115(constB53)))) | v111(constB53) | (~(v112(constB53) | v115(constB53)))),
% 8.66/6.19 inference(tautology,[status(thm)],[])).
% 8.66/6.19 tff(14236,plain,
% 8.66/6.19 (v111(constB53)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[14235, 14234, 7344])).
% 8.66/6.19 tff(14237,plain,
% 8.66/6.19 ((v111(constB53) | v116(constB53)) | (~v111(constB53))),
% 8.66/6.19 inference(tautology,[status(thm)],[])).
% 8.66/6.19 tff(14238,plain,
% 8.66/6.19 (v111(constB53) | v116(constB53)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[14237, 14236])).
% 8.66/6.19 tff(14239,plain,
% 8.66/6.19 ((~(v110(constB53) <=> (v111(constB53) | v116(constB53)))) | v110(constB53) | (~(v111(constB53) | v116(constB53)))),
% 8.66/6.19 inference(tautology,[status(thm)],[])).
% 8.66/6.19 tff(14240,plain,
% 8.66/6.19 (v110(constB53)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[14239, 14238, 7342])).
% 8.66/6.19 tff(14241,plain,
% 8.66/6.19 ((v110(constB53) | v117(constB53)) | (~v110(constB53))),
% 8.66/6.19 inference(tautology,[status(thm)],[])).
% 8.66/6.19 tff(14242,plain,
% 8.66/6.19 (v110(constB53) | v117(constB53)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[14241, 14240])).
% 8.66/6.19 tff(14243,plain,
% 8.66/6.19 ((~(v109(constB53) <=> (v110(constB53) | v117(constB53)))) | v109(constB53) | (~(v110(constB53) | v117(constB53)))),
% 8.66/6.19 inference(tautology,[status(thm)],[])).
% 8.66/6.19 tff(14244,plain,
% 8.66/6.19 (v109(constB53)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[14243, 14242, 7340])).
% 8.66/6.19 tff(14245,plain,
% 8.66/6.19 ((v109(constB53) | v118(constB53)) | (~v109(constB53))),
% 8.66/6.19 inference(tautology,[status(thm)],[])).
% 8.66/6.19 tff(14246,plain,
% 8.66/6.19 (v109(constB53) | v118(constB53)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[14245, 14244])).
% 8.66/6.19 tff(14247,plain,
% 8.66/6.19 ((~(v108(constB53) <=> (v109(constB53) | v118(constB53)))) | v108(constB53) | (~(v109(constB53) | v118(constB53)))),
% 8.66/6.19 inference(tautology,[status(thm)],[])).
% 8.66/6.19 tff(14248,plain,
% 8.66/6.19 (v108(constB53)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[14247, 14246, 7338])).
% 8.66/6.19 tff(14249,plain,
% 8.66/6.19 ((v108(constB53) | v119(constB53)) | (~v108(constB53))),
% 8.66/6.19 inference(tautology,[status(thm)],[])).
% 8.66/6.19 tff(14250,plain,
% 8.66/6.19 (v108(constB53) | v119(constB53)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[14249, 14248])).
% 8.66/6.19 tff(14251,plain,
% 8.66/6.19 ((~(v107(constB53) <=> (v108(constB53) | v119(constB53)))) | v107(constB53) | (~(v108(constB53) | v119(constB53)))),
% 8.66/6.19 inference(tautology,[status(thm)],[])).
% 8.66/6.19 tff(14252,plain,
% 8.66/6.19 (v107(constB53)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[14251, 14250, 7336])).
% 8.66/6.19 tff(14253,plain,
% 8.66/6.19 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB53)) <=> v105(constB53))),
% 8.66/6.19 inference(quant_inst,[status(thm)],[])).
% 8.66/6.19 tff(14254,plain,
% 8.66/6.19 ((~v120(constB53)) <=> v105(constB53)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[14253, 9842])).
% 8.66/6.19 tff(14255,plain,
% 8.66/6.19 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB53) <=> v26(constB53))),
% 8.66/6.19 inference(quant_inst,[status(thm)],[])).
% 8.66/6.19 tff(14256,plain,
% 8.66/6.19 (v105(constB53) <=> v26(constB53)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[14255, 9854])).
% 8.66/6.19 tff(14257,plain,
% 8.66/6.19 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB53))),
% 8.66/6.19 inference(quant_inst,[status(thm)],[])).
% 8.66/6.19 tff(14258,plain,
% 8.66/6.19 (~v26(constB53)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[14257, 9866])).
% 8.66/6.19 tff(14259,plain,
% 8.66/6.19 ((~(v105(constB53) <=> v26(constB53))) | (~v105(constB53)) | v26(constB53)),
% 8.66/6.19 inference(tautology,[status(thm)],[])).
% 8.66/6.19 tff(14260,plain,
% 8.66/6.19 ((~(v105(constB53) <=> v26(constB53))) | (~v105(constB53))),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[14259, 14258])).
% 8.66/6.19 tff(14261,plain,
% 8.66/6.19 (~v105(constB53)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[14260, 14256])).
% 8.66/6.19 tff(14262,plain,
% 8.66/6.19 ((~((~v120(constB53)) <=> v105(constB53))) | v120(constB53) | v105(constB53)),
% 8.66/6.19 inference(tautology,[status(thm)],[])).
% 8.66/6.19 tff(14263,plain,
% 8.66/6.19 ((~((~v120(constB53)) <=> v105(constB53))) | v120(constB53)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[14262, 14261])).
% 8.66/6.19 tff(14264,plain,
% 8.66/6.19 (v120(constB53)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[14263, 14254])).
% 8.66/6.19 tff(14265,plain,
% 8.66/6.19 ((~((~v107(constB53)) | (~v120(constB53)))) | (~v107(constB53)) | (~v120(constB53))),
% 8.66/6.19 inference(tautology,[status(thm)],[])).
% 8.66/6.19 tff(14266,plain,
% 8.66/6.19 ((~((~v107(constB53)) | (~v120(constB53)))) | (~v107(constB53))),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[14265, 14264])).
% 8.66/6.19 tff(14267,plain,
% 8.66/6.19 (~((~v107(constB53)) | (~v120(constB53)))),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[14266, 14252])).
% 8.66/6.19 tff(14268,plain,
% 8.66/6.19 ((~(v106(constB53) <=> (~((~v107(constB53)) | (~v120(constB53)))))) | v106(constB53) | ((~v107(constB53)) | (~v120(constB53)))),
% 8.66/6.19 inference(tautology,[status(thm)],[])).
% 8.66/6.19 tff(14269,plain,
% 8.66/6.19 (v106(constB53)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[14268, 14267, 7334])).
% 8.66/6.19 tff(14270,plain,
% 8.66/6.19 ((v105(constB53) | v106(constB53)) | (~v106(constB53))),
% 8.66/6.19 inference(tautology,[status(thm)],[])).
% 8.66/6.19 tff(14271,plain,
% 8.66/6.19 (v105(constB53) | v106(constB53)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[14270, 14269])).
% 8.66/6.19 tff(14272,plain,
% 8.66/6.19 ((~(v102(constB53) <=> (v105(constB53) | v106(constB53)))) | v102(constB53) | (~(v105(constB53) | v106(constB53)))),
% 8.66/6.19 inference(tautology,[status(thm)],[])).
% 8.66/6.19 tff(14273,plain,
% 8.66/6.19 (v102(constB53)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[14272, 14271, 7332])).
% 8.66/6.19 tff(14274,plain,
% 8.66/6.19 ((~(v104(constB54) <=> v102(constB53))) | v104(constB54) | (~v102(constB53))),
% 8.66/6.19 inference(tautology,[status(thm)],[])).
% 8.66/6.19 tff(14275,plain,
% 8.66/6.19 (v104(constB54)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[14274, 14273, 7330])).
% 8.66/6.19 tff(14276,plain,
% 8.66/6.19 ((~((~v104(constB54)) | (~v95(constB54)))) | (~v104(constB54)) | (~v95(constB54))),
% 8.66/6.19 inference(tautology,[status(thm)],[])).
% 8.66/6.19 tff(14277,plain,
% 8.66/6.19 (~((~v104(constB54)) | (~v95(constB54)))),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[14276, 14275, 7326])).
% 8.66/6.19 tff(14278,plain,
% 8.66/6.19 ((~(v94(constB54) <=> (~((~v104(constB54)) | (~v95(constB54)))))) | v94(constB54) | ((~v104(constB54)) | (~v95(constB54)))),
% 8.66/6.19 inference(tautology,[status(thm)],[])).
% 8.66/6.19 tff(14279,plain,
% 8.66/6.19 (v94(constB54)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[14278, 14277, 7295])).
% 8.66/6.19 tff(14280,plain,
% 8.66/6.19 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB54)) | ![B: $i] : ((~less_3(B)) | (v84(constB54, B) <=> v123(constB54, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB54)) | ![B: $i] : ((~less_3(B)) | (v84(constB54, B) <=> v123(constB54, B))))),
% 8.66/6.19 inference(rewrite,[status(thm)],[])).
% 8.66/6.19 tff(14281,plain,
% 8.66/6.19 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB54)) | ![B: $i] : ((~less_3(B)) | (v84(constB54, B) <=> v123(constB54, B))))),
% 8.66/6.19 inference(quant_inst,[status(thm)],[])).
% 8.66/6.19 tff(14282,plain,
% 8.66/6.19 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB54)) | ![B: $i] : ((~less_3(B)) | (v84(constB54, B) <=> v123(constB54, B)))),
% 8.66/6.19 inference(modus_ponens,[status(thm)],[14281, 14280])).
% 8.66/6.19 tff(14283,plain,
% 8.66/6.19 ((~v94(constB54)) | ![B: $i] : ((~less_3(B)) | (v84(constB54, B) <=> v123(constB54, B)))),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[14282, 9902])).
% 8.66/6.19 tff(14284,plain,
% 8.66/6.19 (![B: $i] : ((~less_3(B)) | (v84(constB54, B) <=> v123(constB54, B)))),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[14283, 14279])).
% 8.66/6.19 tff(14285,plain,
% 8.66/6.19 (((~![B: $i] : ((~less_3(B)) | (v84(constB54, B) <=> v123(constB54, B)))) | ((~less_3(bitIndex2)) | (v84(constB54, bitIndex2) <=> v123(constB54, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB54, B) <=> v123(constB54, B)))) | (~less_3(bitIndex2)) | (v84(constB54, bitIndex2) <=> v123(constB54, bitIndex2)))),
% 8.66/6.19 inference(rewrite,[status(thm)],[])).
% 8.66/6.19 tff(14286,plain,
% 8.66/6.19 ((~![B: $i] : ((~less_3(B)) | (v84(constB54, B) <=> v123(constB54, B)))) | ((~less_3(bitIndex2)) | (v84(constB54, bitIndex2) <=> v123(constB54, bitIndex2)))),
% 8.66/6.19 inference(quant_inst,[status(thm)],[])).
% 8.66/6.19 tff(14287,plain,
% 8.66/6.19 ((~![B: $i] : ((~less_3(B)) | (v84(constB54, B) <=> v123(constB54, B)))) | (~less_3(bitIndex2)) | (v84(constB54, bitIndex2) <=> v123(constB54, bitIndex2))),
% 8.66/6.19 inference(modus_ponens,[status(thm)],[14286, 14285])).
% 8.66/6.19 tff(14288,plain,
% 8.66/6.19 (v84(constB54, bitIndex2) <=> v123(constB54, bitIndex2)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[14287, 832, 14284])).
% 8.66/6.19 tff(14289,plain,
% 8.66/6.19 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB53, constB54)) | ![B: $i] : ((~less_3(B)) | (v123(constB54, B) <=> v121(constB53, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB53, constB54)) | ![B: $i] : ((~less_3(B)) | (v123(constB54, B) <=> v121(constB53, B))))),
% 8.66/6.19 inference(rewrite,[status(thm)],[])).
% 8.66/6.19 tff(14290,plain,
% 8.66/6.19 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB53, constB54)) | ![B: $i] : ((~less_3(B)) | (v123(constB54, B) <=> v121(constB53, B))))),
% 8.66/6.19 inference(quant_inst,[status(thm)],[])).
% 8.66/6.19 tff(14291,plain,
% 8.66/6.19 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB53, constB54)) | ![B: $i] : ((~less_3(B)) | (v123(constB54, B) <=> v121(constB53, B)))),
% 8.66/6.19 inference(modus_ponens,[status(thm)],[14290, 14289])).
% 8.66/6.19 tff(14292,plain,
% 8.66/6.19 (![B: $i] : ((~less_3(B)) | (v123(constB54, B) <=> v121(constB53, B)))),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[14291, 7291, 9924])).
% 8.66/6.19 tff(14293,plain,
% 8.66/6.19 (((~![B: $i] : ((~less_3(B)) | (v123(constB54, B) <=> v121(constB53, B)))) | ((~less_3(bitIndex2)) | (v123(constB54, bitIndex2) <=> v121(constB53, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB54, B) <=> v121(constB53, B)))) | (~less_3(bitIndex2)) | (v123(constB54, bitIndex2) <=> v121(constB53, bitIndex2)))),
% 8.66/6.19 inference(rewrite,[status(thm)],[])).
% 8.66/6.19 tff(14294,plain,
% 8.66/6.19 ((~![B: $i] : ((~less_3(B)) | (v123(constB54, B) <=> v121(constB53, B)))) | ((~less_3(bitIndex2)) | (v123(constB54, bitIndex2) <=> v121(constB53, bitIndex2)))),
% 8.66/6.19 inference(quant_inst,[status(thm)],[])).
% 8.66/6.19 tff(14295,plain,
% 8.66/6.19 ((~![B: $i] : ((~less_3(B)) | (v123(constB54, B) <=> v121(constB53, B)))) | (~less_3(bitIndex2)) | (v123(constB54, bitIndex2) <=> v121(constB53, bitIndex2))),
% 8.66/6.19 inference(modus_ponens,[status(thm)],[14294, 14293])).
% 8.66/6.19 tff(14296,plain,
% 8.66/6.19 (v123(constB54, bitIndex2) <=> v121(constB53, bitIndex2)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[14295, 832, 14292])).
% 8.66/6.19 tff(14297,plain,
% 8.66/6.19 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB53) | ![B: $i] : ((~less_3(B)) | (v121(constB53, B) <=> v124(constB53, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB53) | ![B: $i] : ((~less_3(B)) | (v121(constB53, B) <=> v124(constB53, B))))),
% 8.66/6.19 inference(rewrite,[status(thm)],[])).
% 8.66/6.19 tff(14298,plain,
% 8.66/6.19 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB53) | ![B: $i] : ((~less_3(B)) | (v121(constB53, B) <=> v124(constB53, B))))),
% 8.66/6.19 inference(quant_inst,[status(thm)],[])).
% 8.66/6.19 tff(14299,plain,
% 8.66/6.19 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB53) | ![B: $i] : ((~less_3(B)) | (v121(constB53, B) <=> v124(constB53, B)))),
% 8.66/6.19 inference(modus_ponens,[status(thm)],[14298, 14297])).
% 8.66/6.19 tff(14300,plain,
% 8.66/6.19 (![B: $i] : ((~less_3(B)) | (v121(constB53, B) <=> v124(constB53, B)))),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[14299, 9945, 14261])).
% 8.66/6.19 tff(14301,plain,
% 8.66/6.19 (((~![B: $i] : ((~less_3(B)) | (v121(constB53, B) <=> v124(constB53, B)))) | ((~less_3(bitIndex2)) | (v121(constB53, bitIndex2) <=> v124(constB53, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB53, B) <=> v124(constB53, B)))) | (~less_3(bitIndex2)) | (v121(constB53, bitIndex2) <=> v124(constB53, bitIndex2)))),
% 8.66/6.19 inference(rewrite,[status(thm)],[])).
% 8.66/6.19 tff(14302,plain,
% 8.66/6.19 ((~![B: $i] : ((~less_3(B)) | (v121(constB53, B) <=> v124(constB53, B)))) | ((~less_3(bitIndex2)) | (v121(constB53, bitIndex2) <=> v124(constB53, bitIndex2)))),
% 8.66/6.19 inference(quant_inst,[status(thm)],[])).
% 8.66/6.19 tff(14303,plain,
% 8.66/6.19 ((~![B: $i] : ((~less_3(B)) | (v121(constB53, B) <=> v124(constB53, B)))) | (~less_3(bitIndex2)) | (v121(constB53, bitIndex2) <=> v124(constB53, bitIndex2))),
% 8.66/6.19 inference(modus_ponens,[status(thm)],[14302, 14301])).
% 8.66/6.19 tff(14304,plain,
% 8.66/6.19 (v121(constB53, bitIndex2) <=> v124(constB53, bitIndex2)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[14303, 832, 14300])).
% 8.66/6.19 tff(14305,plain,
% 8.66/6.19 (((~![VarCurr: $i] : ((~v115(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b011(B))))) | ((~v115(constB53)) | ![B: $i] : ((~less_3(B)) | (v124(constB53, B) <=> b011(B))))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b011(B))))) | (~v115(constB53)) | ![B: $i] : ((~less_3(B)) | (v124(constB53, B) <=> b011(B))))),
% 8.66/6.19 inference(rewrite,[status(thm)],[])).
% 8.66/6.19 tff(14306,plain,
% 8.66/6.19 ((~![VarCurr: $i] : ((~v115(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b011(B))))) | ((~v115(constB53)) | ![B: $i] : ((~less_3(B)) | (v124(constB53, B) <=> b011(B))))),
% 8.66/6.19 inference(quant_inst,[status(thm)],[])).
% 8.66/6.19 tff(14307,plain,
% 8.66/6.19 ((~![VarCurr: $i] : ((~v115(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b011(B))))) | (~v115(constB53)) | ![B: $i] : ((~less_3(B)) | (v124(constB53, B) <=> b011(B)))),
% 8.66/6.19 inference(modus_ponens,[status(thm)],[14306, 14305])).
% 8.66/6.19 tff(14308,plain,
% 8.66/6.19 ((~v115(constB53)) | ![B: $i] : ((~less_3(B)) | (v124(constB53, B) <=> b011(B)))),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[14307, 10329])).
% 8.66/6.19 tff(14309,plain,
% 8.66/6.19 (![B: $i] : ((~less_3(B)) | (v124(constB53, B) <=> b011(B)))),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[14308, 14232])).
% 8.66/6.19 tff(14310,plain,
% 8.66/6.19 (((~![B: $i] : ((~less_3(B)) | (v124(constB53, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v124(constB53, bitIndex2) <=> b011(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB53, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v124(constB53, bitIndex2) <=> b011(bitIndex2)))),
% 8.66/6.19 inference(rewrite,[status(thm)],[])).
% 8.66/6.19 tff(14311,plain,
% 8.66/6.19 ((~![B: $i] : ((~less_3(B)) | (v124(constB53, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v124(constB53, bitIndex2) <=> b011(bitIndex2)))),
% 8.66/6.19 inference(quant_inst,[status(thm)],[])).
% 8.66/6.19 tff(14312,plain,
% 8.66/6.19 ((~![B: $i] : ((~less_3(B)) | (v124(constB53, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v124(constB53, bitIndex2) <=> b011(bitIndex2))),
% 8.66/6.19 inference(modus_ponens,[status(thm)],[14311, 14310])).
% 8.66/6.19 tff(14313,plain,
% 8.66/6.19 (v124(constB53, bitIndex2) <=> b011(bitIndex2)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[14312, 832, 14309])).
% 8.66/6.19 tff(14314,plain,
% 8.66/6.19 ((~(v124(constB53, bitIndex2) <=> b011(bitIndex2))) | (~v124(constB53, bitIndex2)) | b011(bitIndex2)),
% 8.66/6.19 inference(tautology,[status(thm)],[])).
% 8.66/6.19 tff(14315,plain,
% 8.66/6.19 ((~(v124(constB53, bitIndex2) <=> b011(bitIndex2))) | (~v124(constB53, bitIndex2))),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[14314, 10341])).
% 8.66/6.19 tff(14316,plain,
% 8.66/6.19 (~v124(constB53, bitIndex2)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[14315, 14313])).
% 8.66/6.19 tff(14317,plain,
% 8.66/6.19 ((~(v121(constB53, bitIndex2) <=> v124(constB53, bitIndex2))) | (~v121(constB53, bitIndex2)) | v124(constB53, bitIndex2)),
% 8.66/6.19 inference(tautology,[status(thm)],[])).
% 8.66/6.19 tff(14318,plain,
% 8.66/6.19 (~v121(constB53, bitIndex2)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[14317, 14316, 14304])).
% 8.66/6.19 tff(14319,plain,
% 8.66/6.19 ((~(v123(constB54, bitIndex2) <=> v121(constB53, bitIndex2))) | (~v123(constB54, bitIndex2)) | v121(constB53, bitIndex2)),
% 8.66/6.19 inference(tautology,[status(thm)],[])).
% 8.66/6.19 tff(14320,plain,
% 8.66/6.19 (~v123(constB54, bitIndex2)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[14319, 14318, 14296])).
% 8.66/6.19 tff(14321,plain,
% 8.66/6.19 ((~(v84(constB54, bitIndex2) <=> v123(constB54, bitIndex2))) | (~v84(constB54, bitIndex2)) | v123(constB54, bitIndex2)),
% 8.66/6.19 inference(tautology,[status(thm)],[])).
% 8.66/6.19 tff(14322,plain,
% 8.66/6.19 (~v84(constB54, bitIndex2)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[14321, 14320, 14288])).
% 8.66/6.19 tff(14323,plain,
% 8.66/6.19 ((~(v84(constB55, bitIndex2) <=> v84(constB54, bitIndex2))) | (~v84(constB55, bitIndex2)) | v84(constB54, bitIndex2)),
% 8.66/6.19 inference(tautology,[status(thm)],[])).
% 8.66/6.19 tff(14324,plain,
% 8.66/6.19 (~v84(constB55, bitIndex2)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[14323, 14322, 7288])).
% 8.66/6.19 tff(14325,plain,
% 8.66/6.19 (((~![B: $i] : ((~less_3(B)) | (v84(constB55, B) <=> v84(constB54, B)))) | ((~less_3(bitIndex0)) | (v84(constB55, bitIndex0) <=> v84(constB54, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB55, B) <=> v84(constB54, B)))) | (~less_3(bitIndex0)) | (v84(constB55, bitIndex0) <=> v84(constB54, bitIndex0)))),
% 8.66/6.19 inference(rewrite,[status(thm)],[])).
% 8.66/6.19 tff(14326,plain,
% 8.66/6.19 ((~![B: $i] : ((~less_3(B)) | (v84(constB55, B) <=> v84(constB54, B)))) | ((~less_3(bitIndex0)) | (v84(constB55, bitIndex0) <=> v84(constB54, bitIndex0)))),
% 8.66/6.19 inference(quant_inst,[status(thm)],[])).
% 8.66/6.19 tff(14327,plain,
% 8.66/6.19 ((~![B: $i] : ((~less_3(B)) | (v84(constB55, B) <=> v84(constB54, B)))) | (~less_3(bitIndex0)) | (v84(constB55, bitIndex0) <=> v84(constB54, bitIndex0))),
% 8.66/6.19 inference(modus_ponens,[status(thm)],[14326, 14325])).
% 8.66/6.19 tff(14328,plain,
% 8.66/6.19 (v84(constB55, bitIndex0) <=> v84(constB54, bitIndex0)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[14327, 9772, 7284])).
% 8.66/6.19 tff(14329,plain,
% 8.66/6.19 (((~![B: $i] : ((~less_3(B)) | (v84(constB54, B) <=> v123(constB54, B)))) | ((~less_3(bitIndex0)) | (v84(constB54, bitIndex0) <=> v123(constB54, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB54, B) <=> v123(constB54, B)))) | (~less_3(bitIndex0)) | (v84(constB54, bitIndex0) <=> v123(constB54, bitIndex0)))),
% 8.66/6.19 inference(rewrite,[status(thm)],[])).
% 8.66/6.19 tff(14330,plain,
% 8.66/6.19 ((~![B: $i] : ((~less_3(B)) | (v84(constB54, B) <=> v123(constB54, B)))) | ((~less_3(bitIndex0)) | (v84(constB54, bitIndex0) <=> v123(constB54, bitIndex0)))),
% 8.66/6.19 inference(quant_inst,[status(thm)],[])).
% 8.66/6.19 tff(14331,plain,
% 8.66/6.19 ((~![B: $i] : ((~less_3(B)) | (v84(constB54, B) <=> v123(constB54, B)))) | (~less_3(bitIndex0)) | (v84(constB54, bitIndex0) <=> v123(constB54, bitIndex0))),
% 8.66/6.19 inference(modus_ponens,[status(thm)],[14330, 14329])).
% 8.66/6.19 tff(14332,plain,
% 8.66/6.19 (v84(constB54, bitIndex0) <=> v123(constB54, bitIndex0)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[14331, 9772, 14284])).
% 8.66/6.19 tff(14333,plain,
% 8.66/6.19 (((~![B: $i] : ((~less_3(B)) | (v123(constB54, B) <=> v121(constB53, B)))) | ((~less_3(bitIndex0)) | (v123(constB54, bitIndex0) <=> v121(constB53, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB54, B) <=> v121(constB53, B)))) | (~less_3(bitIndex0)) | (v123(constB54, bitIndex0) <=> v121(constB53, bitIndex0)))),
% 8.66/6.19 inference(rewrite,[status(thm)],[])).
% 8.66/6.19 tff(14334,plain,
% 8.66/6.19 ((~![B: $i] : ((~less_3(B)) | (v123(constB54, B) <=> v121(constB53, B)))) | ((~less_3(bitIndex0)) | (v123(constB54, bitIndex0) <=> v121(constB53, bitIndex0)))),
% 8.66/6.19 inference(quant_inst,[status(thm)],[])).
% 8.66/6.19 tff(14335,plain,
% 8.66/6.19 ((~![B: $i] : ((~less_3(B)) | (v123(constB54, B) <=> v121(constB53, B)))) | (~less_3(bitIndex0)) | (v123(constB54, bitIndex0) <=> v121(constB53, bitIndex0))),
% 8.66/6.19 inference(modus_ponens,[status(thm)],[14334, 14333])).
% 8.66/6.19 tff(14336,plain,
% 8.66/6.19 (v123(constB54, bitIndex0) <=> v121(constB53, bitIndex0)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[14335, 9772, 14292])).
% 8.66/6.19 tff(14337,plain,
% 8.66/6.19 (((~![B: $i] : ((~less_3(B)) | (v121(constB53, B) <=> v124(constB53, B)))) | ((~less_3(bitIndex0)) | (v121(constB53, bitIndex0) <=> v124(constB53, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB53, B) <=> v124(constB53, B)))) | (~less_3(bitIndex0)) | (v121(constB53, bitIndex0) <=> v124(constB53, bitIndex0)))),
% 8.66/6.19 inference(rewrite,[status(thm)],[])).
% 8.66/6.19 tff(14338,plain,
% 8.66/6.19 ((~![B: $i] : ((~less_3(B)) | (v121(constB53, B) <=> v124(constB53, B)))) | ((~less_3(bitIndex0)) | (v121(constB53, bitIndex0) <=> v124(constB53, bitIndex0)))),
% 8.66/6.19 inference(quant_inst,[status(thm)],[])).
% 8.66/6.19 tff(14339,plain,
% 8.66/6.19 ((~![B: $i] : ((~less_3(B)) | (v121(constB53, B) <=> v124(constB53, B)))) | (~less_3(bitIndex0)) | (v121(constB53, bitIndex0) <=> v124(constB53, bitIndex0))),
% 8.66/6.19 inference(modus_ponens,[status(thm)],[14338, 14337])).
% 8.66/6.19 tff(14340,plain,
% 8.66/6.19 (v121(constB53, bitIndex0) <=> v124(constB53, bitIndex0)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[14339, 9772, 14300])).
% 8.66/6.19 tff(14341,plain,
% 8.66/6.19 (((~![B: $i] : ((~less_3(B)) | (v124(constB53, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v124(constB53, bitIndex0) <=> b011(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB53, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v124(constB53, bitIndex0) <=> b011(bitIndex0)))),
% 8.66/6.19 inference(rewrite,[status(thm)],[])).
% 8.66/6.19 tff(14342,plain,
% 8.66/6.19 ((~![B: $i] : ((~less_3(B)) | (v124(constB53, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v124(constB53, bitIndex0) <=> b011(bitIndex0)))),
% 8.66/6.19 inference(quant_inst,[status(thm)],[])).
% 8.66/6.19 tff(14343,plain,
% 8.66/6.19 ((~![B: $i] : ((~less_3(B)) | (v124(constB53, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v124(constB53, bitIndex0) <=> b011(bitIndex0))),
% 8.66/6.19 inference(modus_ponens,[status(thm)],[14342, 14341])).
% 8.66/6.19 tff(14344,plain,
% 8.66/6.19 (v124(constB53, bitIndex0) <=> b011(bitIndex0)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[14343, 9772, 14309])).
% 8.66/6.19 tff(14345,plain,
% 8.66/6.19 ((~(v124(constB53, bitIndex0) <=> b011(bitIndex0))) | v124(constB53, bitIndex0) | (~b011(bitIndex0))),
% 8.66/6.19 inference(tautology,[status(thm)],[])).
% 8.66/6.19 tff(14346,plain,
% 8.66/6.19 ((~(v124(constB53, bitIndex0) <=> b011(bitIndex0))) | v124(constB53, bitIndex0)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[14345, 10375])).
% 8.66/6.19 tff(14347,plain,
% 8.66/6.19 (v124(constB53, bitIndex0)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[14346, 14344])).
% 8.66/6.19 tff(14348,plain,
% 8.66/6.19 ((~(v121(constB53, bitIndex0) <=> v124(constB53, bitIndex0))) | v121(constB53, bitIndex0) | (~v124(constB53, bitIndex0))),
% 8.66/6.19 inference(tautology,[status(thm)],[])).
% 8.66/6.19 tff(14349,plain,
% 8.66/6.19 (v121(constB53, bitIndex0)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[14348, 14347, 14340])).
% 8.66/6.19 tff(14350,plain,
% 8.66/6.19 ((~(v123(constB54, bitIndex0) <=> v121(constB53, bitIndex0))) | v123(constB54, bitIndex0) | (~v121(constB53, bitIndex0))),
% 8.66/6.19 inference(tautology,[status(thm)],[])).
% 8.66/6.19 tff(14351,plain,
% 8.66/6.19 (v123(constB54, bitIndex0)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[14350, 14349, 14336])).
% 8.66/6.19 tff(14352,plain,
% 8.66/6.19 ((~(v84(constB54, bitIndex0) <=> v123(constB54, bitIndex0))) | v84(constB54, bitIndex0) | (~v123(constB54, bitIndex0))),
% 8.66/6.19 inference(tautology,[status(thm)],[])).
% 8.66/6.19 tff(14353,plain,
% 8.66/6.19 (v84(constB54, bitIndex0)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[14352, 14351, 14332])).
% 8.66/6.19 tff(14354,plain,
% 8.66/6.19 ((~(v84(constB55, bitIndex0) <=> v84(constB54, bitIndex0))) | v84(constB55, bitIndex0) | (~v84(constB54, bitIndex0))),
% 8.66/6.19 inference(tautology,[status(thm)],[])).
% 8.66/6.19 tff(14355,plain,
% 8.66/6.19 (v84(constB55, bitIndex0)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[14354, 14353, 14328])).
% 8.66/6.19 tff(14356,plain,
% 8.66/6.19 (((~![B: $i] : ((~less_3(B)) | (v84(constB55, B) <=> v84(constB54, B)))) | ((~less_3(bitIndex1)) | (v84(constB55, bitIndex1) <=> v84(constB54, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB55, B) <=> v84(constB54, B)))) | (~less_3(bitIndex1)) | (v84(constB55, bitIndex1) <=> v84(constB54, bitIndex1)))),
% 8.66/6.19 inference(rewrite,[status(thm)],[])).
% 8.66/6.19 tff(14357,plain,
% 8.66/6.19 ((~![B: $i] : ((~less_3(B)) | (v84(constB55, B) <=> v84(constB54, B)))) | ((~less_3(bitIndex1)) | (v84(constB55, bitIndex1) <=> v84(constB54, bitIndex1)))),
% 8.66/6.19 inference(quant_inst,[status(thm)],[])).
% 8.66/6.19 tff(14358,plain,
% 8.66/6.19 ((~![B: $i] : ((~less_3(B)) | (v84(constB55, B) <=> v84(constB54, B)))) | (~less_3(bitIndex1)) | (v84(constB55, bitIndex1) <=> v84(constB54, bitIndex1))),
% 8.66/6.19 inference(modus_ponens,[status(thm)],[14357, 14356])).
% 8.66/6.19 tff(14359,plain,
% 8.66/6.19 (v84(constB55, bitIndex1) <=> v84(constB54, bitIndex1)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[14358, 9785, 7284])).
% 8.66/6.19 tff(14360,plain,
% 8.66/6.19 (((~![B: $i] : ((~less_3(B)) | (v84(constB54, B) <=> v123(constB54, B)))) | ((~less_3(bitIndex1)) | (v84(constB54, bitIndex1) <=> v123(constB54, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB54, B) <=> v123(constB54, B)))) | (~less_3(bitIndex1)) | (v84(constB54, bitIndex1) <=> v123(constB54, bitIndex1)))),
% 8.66/6.19 inference(rewrite,[status(thm)],[])).
% 8.66/6.19 tff(14361,plain,
% 8.66/6.19 ((~![B: $i] : ((~less_3(B)) | (v84(constB54, B) <=> v123(constB54, B)))) | ((~less_3(bitIndex1)) | (v84(constB54, bitIndex1) <=> v123(constB54, bitIndex1)))),
% 8.66/6.19 inference(quant_inst,[status(thm)],[])).
% 8.66/6.19 tff(14362,plain,
% 8.66/6.19 ((~![B: $i] : ((~less_3(B)) | (v84(constB54, B) <=> v123(constB54, B)))) | (~less_3(bitIndex1)) | (v84(constB54, bitIndex1) <=> v123(constB54, bitIndex1))),
% 8.66/6.19 inference(modus_ponens,[status(thm)],[14361, 14360])).
% 8.66/6.19 tff(14363,plain,
% 8.66/6.19 (v84(constB54, bitIndex1) <=> v123(constB54, bitIndex1)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[14362, 9785, 14284])).
% 8.66/6.19 tff(14364,plain,
% 8.66/6.19 (((~![B: $i] : ((~less_3(B)) | (v123(constB54, B) <=> v121(constB53, B)))) | ((~less_3(bitIndex1)) | (v123(constB54, bitIndex1) <=> v121(constB53, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB54, B) <=> v121(constB53, B)))) | (~less_3(bitIndex1)) | (v123(constB54, bitIndex1) <=> v121(constB53, bitIndex1)))),
% 8.66/6.19 inference(rewrite,[status(thm)],[])).
% 8.66/6.19 tff(14365,plain,
% 8.66/6.19 ((~![B: $i] : ((~less_3(B)) | (v123(constB54, B) <=> v121(constB53, B)))) | ((~less_3(bitIndex1)) | (v123(constB54, bitIndex1) <=> v121(constB53, bitIndex1)))),
% 8.66/6.19 inference(quant_inst,[status(thm)],[])).
% 8.66/6.19 tff(14366,plain,
% 8.66/6.19 ((~![B: $i] : ((~less_3(B)) | (v123(constB54, B) <=> v121(constB53, B)))) | (~less_3(bitIndex1)) | (v123(constB54, bitIndex1) <=> v121(constB53, bitIndex1))),
% 8.66/6.19 inference(modus_ponens,[status(thm)],[14365, 14364])).
% 8.66/6.19 tff(14367,plain,
% 8.66/6.19 (v123(constB54, bitIndex1) <=> v121(constB53, bitIndex1)),
% 8.66/6.19 inference(unit_resolution,[status(thm)],[14366, 9785, 14292])).
% 8.66/6.19 tff(14368,plain,
% 8.66/6.19 (((~![B: $i] : ((~less_3(B)) | (v121(constB53, B) <=> v124(constB53, B)))) | ((~less_3(bitIndex1)) | (v121(constB53, bitIndex1) <=> v124(constB53, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB53, B) <=> v124(constB53, B)))) | (~less_3(bitIndex1)) | (v121(constB53, bitIndex1) <=> v124(constB53, bitIndex1)))),
% 8.68/6.20 inference(rewrite,[status(thm)],[])).
% 8.68/6.20 tff(14369,plain,
% 8.68/6.20 ((~![B: $i] : ((~less_3(B)) | (v121(constB53, B) <=> v124(constB53, B)))) | ((~less_3(bitIndex1)) | (v121(constB53, bitIndex1) <=> v124(constB53, bitIndex1)))),
% 8.68/6.20 inference(quant_inst,[status(thm)],[])).
% 8.68/6.20 tff(14370,plain,
% 8.68/6.20 ((~![B: $i] : ((~less_3(B)) | (v121(constB53, B) <=> v124(constB53, B)))) | (~less_3(bitIndex1)) | (v121(constB53, bitIndex1) <=> v124(constB53, bitIndex1))),
% 8.68/6.20 inference(modus_ponens,[status(thm)],[14369, 14368])).
% 8.68/6.20 tff(14371,plain,
% 8.68/6.20 (v121(constB53, bitIndex1) <=> v124(constB53, bitIndex1)),
% 8.68/6.20 inference(unit_resolution,[status(thm)],[14370, 9785, 14300])).
% 8.68/6.20 tff(14372,plain,
% 8.68/6.20 (((~![B: $i] : ((~less_3(B)) | (v124(constB53, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v124(constB53, bitIndex1) <=> b011(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB53, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v124(constB53, bitIndex1) <=> b011(bitIndex1)))),
% 8.68/6.20 inference(rewrite,[status(thm)],[])).
% 8.68/6.20 tff(14373,plain,
% 8.68/6.20 ((~![B: $i] : ((~less_3(B)) | (v124(constB53, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v124(constB53, bitIndex1) <=> b011(bitIndex1)))),
% 8.68/6.20 inference(quant_inst,[status(thm)],[])).
% 8.68/6.20 tff(14374,plain,
% 8.68/6.20 ((~![B: $i] : ((~less_3(B)) | (v124(constB53, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v124(constB53, bitIndex1) <=> b011(bitIndex1))),
% 8.68/6.20 inference(modus_ponens,[status(thm)],[14373, 14372])).
% 8.68/6.20 tff(14375,plain,
% 8.68/6.20 (v124(constB53, bitIndex1) <=> b011(bitIndex1)),
% 8.68/6.20 inference(unit_resolution,[status(thm)],[14374, 9785, 14309])).
% 8.68/6.20 tff(14376,plain,
% 8.68/6.20 ((~(v124(constB53, bitIndex1) <=> b011(bitIndex1))) | v124(constB53, bitIndex1) | (~b011(bitIndex1))),
% 8.68/6.20 inference(tautology,[status(thm)],[])).
% 8.68/6.20 tff(14377,plain,
% 8.68/6.20 ((~(v124(constB53, bitIndex1) <=> b011(bitIndex1))) | v124(constB53, bitIndex1)),
% 8.68/6.20 inference(unit_resolution,[status(thm)],[14376, 10409])).
% 8.68/6.20 tff(14378,plain,
% 8.68/6.20 (v124(constB53, bitIndex1)),
% 8.68/6.20 inference(unit_resolution,[status(thm)],[14377, 14375])).
% 8.68/6.20 tff(14379,plain,
% 8.68/6.20 ((~(v121(constB53, bitIndex1) <=> v124(constB53, bitIndex1))) | v121(constB53, bitIndex1) | (~v124(constB53, bitIndex1))),
% 8.68/6.20 inference(tautology,[status(thm)],[])).
% 8.68/6.20 tff(14380,plain,
% 8.68/6.20 (v121(constB53, bitIndex1)),
% 8.68/6.20 inference(unit_resolution,[status(thm)],[14379, 14378, 14371])).
% 8.68/6.20 tff(14381,plain,
% 8.68/6.20 ((~(v123(constB54, bitIndex1) <=> v121(constB53, bitIndex1))) | v123(constB54, bitIndex1) | (~v121(constB53, bitIndex1))),
% 8.68/6.20 inference(tautology,[status(thm)],[])).
% 8.68/6.20 tff(14382,plain,
% 8.68/6.20 (v123(constB54, bitIndex1)),
% 8.68/6.20 inference(unit_resolution,[status(thm)],[14381, 14380, 14367])).
% 8.68/6.20 tff(14383,plain,
% 8.68/6.20 ((~(v84(constB54, bitIndex1) <=> v123(constB54, bitIndex1))) | v84(constB54, bitIndex1) | (~v123(constB54, bitIndex1))),
% 8.68/6.20 inference(tautology,[status(thm)],[])).
% 8.68/6.20 tff(14384,plain,
% 8.68/6.20 (v84(constB54, bitIndex1)),
% 8.68/6.20 inference(unit_resolution,[status(thm)],[14383, 14382, 14363])).
% 8.68/6.20 tff(14385,plain,
% 8.68/6.20 ((~(v84(constB55, bitIndex1) <=> v84(constB54, bitIndex1))) | v84(constB55, bitIndex1) | (~v84(constB54, bitIndex1))),
% 8.68/6.20 inference(tautology,[status(thm)],[])).
% 8.68/6.20 tff(14386,plain,
% 8.68/6.20 (v84(constB55, bitIndex1)),
% 8.68/6.20 inference(unit_resolution,[status(thm)],[14385, 14384, 14359])).
% 8.68/6.20 tff(14387,plain,
% 8.68/6.20 ((~(v84(constB55, bitIndex2) | (~v84(constB55, bitIndex1)) | (~v84(constB55, bitIndex0)))) | v84(constB55, bitIndex2) | (~v84(constB55, bitIndex1)) | (~v84(constB55, bitIndex0))),
% 8.68/6.20 inference(tautology,[status(thm)],[])).
% 8.68/6.20 tff(14388,plain,
% 8.68/6.20 (~(v84(constB55, bitIndex2) | (~v84(constB55, bitIndex1)) | (~v84(constB55, bitIndex0)))),
% 8.68/6.20 inference(unit_resolution,[status(thm)],[14387, 14386, 14355, 14324])).
% 8.68/6.20 tff(14389,plain,
% 8.68/6.20 ((~(v116(constB55) <=> (~(v84(constB55, bitIndex2) | (~v84(constB55, bitIndex1)) | (~v84(constB55, bitIndex0)))))) | v116(constB55) | (v84(constB55, bitIndex2) | (~v84(constB55, bitIndex1)) | (~v84(constB55, bitIndex0)))),
% 8.68/6.20 inference(tautology,[status(thm)],[])).
% 8.68/6.20 tff(14390,plain,
% 8.68/6.20 (v116(constB55)),
% 8.68/6.20 inference(unit_resolution,[status(thm)],[14389, 14388, 7256])).
% 8.68/6.20 tff(14391,plain,
% 8.68/6.20 ((v111(constB55) | v116(constB55)) | (~v116(constB55))),
% 8.68/6.20 inference(tautology,[status(thm)],[])).
% 8.68/6.20 tff(14392,plain,
% 8.68/6.20 (v111(constB55) | v116(constB55)),
% 8.68/6.20 inference(unit_resolution,[status(thm)],[14391, 14390])).
% 8.68/6.20 tff(14393,plain,
% 8.68/6.20 ((~(v110(constB55) <=> (v111(constB55) | v116(constB55)))) | v110(constB55) | (~(v111(constB55) | v116(constB55)))),
% 8.68/6.20 inference(tautology,[status(thm)],[])).
% 8.68/6.20 tff(14394,plain,
% 8.68/6.20 (v110(constB55)),
% 8.68/6.20 inference(unit_resolution,[status(thm)],[14393, 14392, 7254])).
% 8.68/6.20 tff(14395,plain,
% 8.68/6.20 ((v110(constB55) | v117(constB55)) | (~v110(constB55))),
% 8.68/6.20 inference(tautology,[status(thm)],[])).
% 8.68/6.20 tff(14396,plain,
% 8.68/6.20 (v110(constB55) | v117(constB55)),
% 8.68/6.20 inference(unit_resolution,[status(thm)],[14395, 14394])).
% 8.68/6.20 tff(14397,plain,
% 8.68/6.20 ((~(v109(constB55) <=> (v110(constB55) | v117(constB55)))) | v109(constB55) | (~(v110(constB55) | v117(constB55)))),
% 8.68/6.20 inference(tautology,[status(thm)],[])).
% 8.68/6.20 tff(14398,plain,
% 8.68/6.20 (v109(constB55)),
% 8.68/6.20 inference(unit_resolution,[status(thm)],[14397, 14396, 7252])).
% 8.68/6.20 tff(14399,plain,
% 8.68/6.20 ((v109(constB55) | v118(constB55)) | (~v109(constB55))),
% 8.68/6.20 inference(tautology,[status(thm)],[])).
% 8.68/6.20 tff(14400,plain,
% 8.68/6.20 (v109(constB55) | v118(constB55)),
% 8.68/6.20 inference(unit_resolution,[status(thm)],[14399, 14398])).
% 8.68/6.20 tff(14401,plain,
% 8.68/6.20 ((~(v108(constB55) <=> (v109(constB55) | v118(constB55)))) | v108(constB55) | (~(v109(constB55) | v118(constB55)))),
% 8.68/6.20 inference(tautology,[status(thm)],[])).
% 8.68/6.20 tff(14402,plain,
% 8.68/6.20 (v108(constB55)),
% 8.68/6.20 inference(unit_resolution,[status(thm)],[14401, 14400, 7250])).
% 8.68/6.20 tff(14403,plain,
% 8.68/6.20 ((v108(constB55) | v119(constB55)) | (~v108(constB55))),
% 8.68/6.20 inference(tautology,[status(thm)],[])).
% 8.68/6.20 tff(14404,plain,
% 8.68/6.20 (v108(constB55) | v119(constB55)),
% 8.68/6.20 inference(unit_resolution,[status(thm)],[14403, 14402])).
% 8.68/6.20 tff(14405,plain,
% 8.68/6.20 ((~(v107(constB55) <=> (v108(constB55) | v119(constB55)))) | v107(constB55) | (~(v108(constB55) | v119(constB55)))),
% 8.68/6.20 inference(tautology,[status(thm)],[])).
% 8.68/6.20 tff(14406,plain,
% 8.68/6.20 (v107(constB55)),
% 8.68/6.20 inference(unit_resolution,[status(thm)],[14405, 14404, 7248])).
% 8.68/6.20 tff(14407,plain,
% 8.68/6.20 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB55)) <=> v105(constB55))),
% 8.68/6.20 inference(quant_inst,[status(thm)],[])).
% 8.68/6.20 tff(14408,plain,
% 8.68/6.20 ((~v120(constB55)) <=> v105(constB55)),
% 8.68/6.20 inference(unit_resolution,[status(thm)],[14407, 9842])).
% 8.68/6.20 tff(14409,plain,
% 8.68/6.20 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB55) <=> v26(constB55))),
% 8.68/6.20 inference(quant_inst,[status(thm)],[])).
% 8.68/6.20 tff(14410,plain,
% 8.68/6.20 (v105(constB55) <=> v26(constB55)),
% 8.68/6.20 inference(unit_resolution,[status(thm)],[14409, 9854])).
% 8.68/6.20 tff(14411,plain,
% 8.68/6.20 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB55))),
% 8.68/6.20 inference(quant_inst,[status(thm)],[])).
% 8.68/6.20 tff(14412,plain,
% 8.68/6.20 (~v26(constB55)),
% 8.68/6.20 inference(unit_resolution,[status(thm)],[14411, 9866])).
% 8.68/6.20 tff(14413,plain,
% 8.68/6.20 ((~(v105(constB55) <=> v26(constB55))) | (~v105(constB55)) | v26(constB55)),
% 8.68/6.20 inference(tautology,[status(thm)],[])).
% 8.68/6.20 tff(14414,plain,
% 8.68/6.20 ((~(v105(constB55) <=> v26(constB55))) | (~v105(constB55))),
% 8.68/6.20 inference(unit_resolution,[status(thm)],[14413, 14412])).
% 8.68/6.20 tff(14415,plain,
% 8.68/6.20 (~v105(constB55)),
% 8.68/6.20 inference(unit_resolution,[status(thm)],[14414, 14410])).
% 8.68/6.20 tff(14416,plain,
% 8.68/6.20 ((~((~v120(constB55)) <=> v105(constB55))) | v120(constB55) | v105(constB55)),
% 8.68/6.20 inference(tautology,[status(thm)],[])).
% 8.68/6.20 tff(14417,plain,
% 8.68/6.20 ((~((~v120(constB55)) <=> v105(constB55))) | v120(constB55)),
% 8.68/6.20 inference(unit_resolution,[status(thm)],[14416, 14415])).
% 8.68/6.20 tff(14418,plain,
% 8.68/6.20 (v120(constB55)),
% 8.68/6.20 inference(unit_resolution,[status(thm)],[14417, 14408])).
% 8.68/6.20 tff(14419,plain,
% 8.68/6.20 ((~((~v107(constB55)) | (~v120(constB55)))) | (~v107(constB55)) | (~v120(constB55))),
% 8.68/6.20 inference(tautology,[status(thm)],[])).
% 8.68/6.20 tff(14420,plain,
% 8.68/6.20 ((~((~v107(constB55)) | (~v120(constB55)))) | (~v107(constB55))),
% 8.68/6.20 inference(unit_resolution,[status(thm)],[14419, 14418])).
% 8.68/6.20 tff(14421,plain,
% 8.68/6.20 (~((~v107(constB55)) | (~v120(constB55)))),
% 8.68/6.20 inference(unit_resolution,[status(thm)],[14420, 14406])).
% 8.68/6.20 tff(14422,plain,
% 8.68/6.20 ((~(v106(constB55) <=> (~((~v107(constB55)) | (~v120(constB55)))))) | v106(constB55) | ((~v107(constB55)) | (~v120(constB55)))),
% 8.68/6.20 inference(tautology,[status(thm)],[])).
% 8.68/6.20 tff(14423,plain,
% 8.68/6.20 (v106(constB55)),
% 8.68/6.20 inference(unit_resolution,[status(thm)],[14422, 14421, 7246])).
% 8.68/6.20 tff(14424,plain,
% 8.68/6.20 ((v105(constB55) | v106(constB55)) | (~v106(constB55))),
% 8.68/6.20 inference(tautology,[status(thm)],[])).
% 8.68/6.20 tff(14425,plain,
% 8.68/6.20 (v105(constB55) | v106(constB55)),
% 8.68/6.20 inference(unit_resolution,[status(thm)],[14424, 14423])).
% 8.68/6.20 tff(14426,plain,
% 8.68/6.20 ((~(v102(constB55) <=> (v105(constB55) | v106(constB55)))) | v102(constB55) | (~(v105(constB55) | v106(constB55)))),
% 8.68/6.20 inference(tautology,[status(thm)],[])).
% 8.68/6.20 tff(14427,plain,
% 8.68/6.20 (v102(constB55)),
% 8.68/6.20 inference(unit_resolution,[status(thm)],[14426, 14425, 7244])).
% 8.68/6.20 tff(14428,plain,
% 8.68/6.20 ((~(v104(constB56) <=> v102(constB55))) | v104(constB56) | (~v102(constB55))),
% 8.68/6.20 inference(tautology,[status(thm)],[])).
% 8.68/6.20 tff(14429,plain,
% 8.68/6.20 (v104(constB56)),
% 8.68/6.20 inference(unit_resolution,[status(thm)],[14428, 14427, 7242])).
% 8.68/6.20 tff(14430,plain,
% 8.68/6.20 ((~((~v104(constB56)) | (~v95(constB56)))) | (~v104(constB56)) | (~v95(constB56))),
% 8.68/6.20 inference(tautology,[status(thm)],[])).
% 8.68/6.20 tff(14431,plain,
% 8.68/6.20 (~((~v104(constB56)) | (~v95(constB56)))),
% 8.68/6.20 inference(unit_resolution,[status(thm)],[14430, 14429, 7238])).
% 8.68/6.20 tff(14432,plain,
% 8.68/6.20 ((~(v94(constB56) <=> (~((~v104(constB56)) | (~v95(constB56)))))) | v94(constB56) | ((~v104(constB56)) | (~v95(constB56)))),
% 8.68/6.20 inference(tautology,[status(thm)],[])).
% 8.68/6.20 tff(14433,plain,
% 8.68/6.20 (v94(constB56)),
% 8.68/6.20 inference(unit_resolution,[status(thm)],[14432, 14431, 7207])).
% 8.68/6.20 tff(14434,plain,
% 8.68/6.20 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB56)) | ![B: $i] : ((~less_3(B)) | (v84(constB56, B) <=> v123(constB56, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB56)) | ![B: $i] : ((~less_3(B)) | (v84(constB56, B) <=> v123(constB56, B))))),
% 8.68/6.20 inference(rewrite,[status(thm)],[])).
% 8.68/6.20 tff(14435,plain,
% 8.68/6.20 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB56)) | ![B: $i] : ((~less_3(B)) | (v84(constB56, B) <=> v123(constB56, B))))),
% 8.68/6.20 inference(quant_inst,[status(thm)],[])).
% 8.68/6.20 tff(14436,plain,
% 8.68/6.20 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB56)) | ![B: $i] : ((~less_3(B)) | (v84(constB56, B) <=> v123(constB56, B)))),
% 8.68/6.20 inference(modus_ponens,[status(thm)],[14435, 14434])).
% 8.68/6.20 tff(14437,plain,
% 8.68/6.20 ((~v94(constB56)) | ![B: $i] : ((~less_3(B)) | (v84(constB56, B) <=> v123(constB56, B)))),
% 8.68/6.20 inference(unit_resolution,[status(thm)],[14436, 9902])).
% 8.68/6.20 tff(14438,plain,
% 8.68/6.20 (![B: $i] : ((~less_3(B)) | (v84(constB56, B) <=> v123(constB56, B)))),
% 8.68/6.20 inference(unit_resolution,[status(thm)],[14437, 14433])).
% 8.68/6.20 tff(14439,plain,
% 8.68/6.20 (((~![B: $i] : ((~less_3(B)) | (v84(constB56, B) <=> v123(constB56, B)))) | ((~less_3(bitIndex2)) | (v84(constB56, bitIndex2) <=> v123(constB56, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB56, B) <=> v123(constB56, B)))) | (~less_3(bitIndex2)) | (v84(constB56, bitIndex2) <=> v123(constB56, bitIndex2)))),
% 8.68/6.20 inference(rewrite,[status(thm)],[])).
% 8.68/6.20 tff(14440,plain,
% 8.68/6.20 ((~![B: $i] : ((~less_3(B)) | (v84(constB56, B) <=> v123(constB56, B)))) | ((~less_3(bitIndex2)) | (v84(constB56, bitIndex2) <=> v123(constB56, bitIndex2)))),
% 8.68/6.20 inference(quant_inst,[status(thm)],[])).
% 8.68/6.20 tff(14441,plain,
% 8.68/6.20 ((~![B: $i] : ((~less_3(B)) | (v84(constB56, B) <=> v123(constB56, B)))) | (~less_3(bitIndex2)) | (v84(constB56, bitIndex2) <=> v123(constB56, bitIndex2))),
% 8.68/6.20 inference(modus_ponens,[status(thm)],[14440, 14439])).
% 8.68/6.20 tff(14442,plain,
% 8.68/6.20 (v84(constB56, bitIndex2) <=> v123(constB56, bitIndex2)),
% 8.68/6.20 inference(unit_resolution,[status(thm)],[14441, 832, 14438])).
% 8.68/6.20 tff(14443,plain,
% 8.68/6.20 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB55, constB56)) | ![B: $i] : ((~less_3(B)) | (v123(constB56, B) <=> v121(constB55, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB55, constB56)) | ![B: $i] : ((~less_3(B)) | (v123(constB56, B) <=> v121(constB55, B))))),
% 8.68/6.20 inference(rewrite,[status(thm)],[])).
% 8.68/6.20 tff(14444,plain,
% 8.68/6.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB55, constB56)) | ![B: $i] : ((~less_3(B)) | (v123(constB56, B) <=> v121(constB55, B))))),
% 8.68/6.20 inference(quant_inst,[status(thm)],[])).
% 8.68/6.20 tff(14445,plain,
% 8.68/6.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB55, constB56)) | ![B: $i] : ((~less_3(B)) | (v123(constB56, B) <=> v121(constB55, B)))),
% 8.68/6.20 inference(modus_ponens,[status(thm)],[14444, 14443])).
% 8.68/6.20 tff(14446,plain,
% 8.68/6.20 (![B: $i] : ((~less_3(B)) | (v123(constB56, B) <=> v121(constB55, B)))),
% 8.68/6.20 inference(unit_resolution,[status(thm)],[14445, 7203, 9924])).
% 8.68/6.20 tff(14447,plain,
% 8.68/6.20 (((~![B: $i] : ((~less_3(B)) | (v123(constB56, B) <=> v121(constB55, B)))) | ((~less_3(bitIndex2)) | (v123(constB56, bitIndex2) <=> v121(constB55, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB56, B) <=> v121(constB55, B)))) | (~less_3(bitIndex2)) | (v123(constB56, bitIndex2) <=> v121(constB55, bitIndex2)))),
% 8.68/6.20 inference(rewrite,[status(thm)],[])).
% 8.68/6.20 tff(14448,plain,
% 8.68/6.20 ((~![B: $i] : ((~less_3(B)) | (v123(constB56, B) <=> v121(constB55, B)))) | ((~less_3(bitIndex2)) | (v123(constB56, bitIndex2) <=> v121(constB55, bitIndex2)))),
% 8.68/6.20 inference(quant_inst,[status(thm)],[])).
% 8.68/6.20 tff(14449,plain,
% 8.68/6.20 ((~![B: $i] : ((~less_3(B)) | (v123(constB56, B) <=> v121(constB55, B)))) | (~less_3(bitIndex2)) | (v123(constB56, bitIndex2) <=> v121(constB55, bitIndex2))),
% 8.68/6.20 inference(modus_ponens,[status(thm)],[14448, 14447])).
% 8.68/6.20 tff(14450,plain,
% 8.68/6.20 (v123(constB56, bitIndex2) <=> v121(constB55, bitIndex2)),
% 8.68/6.20 inference(unit_resolution,[status(thm)],[14449, 832, 14446])).
% 8.68/6.20 tff(14451,plain,
% 8.68/6.20 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB55) | ![B: $i] : ((~less_3(B)) | (v121(constB55, B) <=> v124(constB55, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB55) | ![B: $i] : ((~less_3(B)) | (v121(constB55, B) <=> v124(constB55, B))))),
% 8.68/6.20 inference(rewrite,[status(thm)],[])).
% 8.68/6.20 tff(14452,plain,
% 8.68/6.20 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB55) | ![B: $i] : ((~less_3(B)) | (v121(constB55, B) <=> v124(constB55, B))))),
% 8.68/6.20 inference(quant_inst,[status(thm)],[])).
% 8.68/6.20 tff(14453,plain,
% 8.68/6.20 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB55) | ![B: $i] : ((~less_3(B)) | (v121(constB55, B) <=> v124(constB55, B)))),
% 8.68/6.20 inference(modus_ponens,[status(thm)],[14452, 14451])).
% 8.68/6.20 tff(14454,plain,
% 8.68/6.20 (![B: $i] : ((~less_3(B)) | (v121(constB55, B) <=> v124(constB55, B)))),
% 8.68/6.20 inference(unit_resolution,[status(thm)],[14453, 9945, 14415])).
% 8.68/6.20 tff(14455,plain,
% 8.68/6.20 (((~![B: $i] : ((~less_3(B)) | (v121(constB55, B) <=> v124(constB55, B)))) | ((~less_3(bitIndex2)) | (v121(constB55, bitIndex2) <=> v124(constB55, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB55, B) <=> v124(constB55, B)))) | (~less_3(bitIndex2)) | (v121(constB55, bitIndex2) <=> v124(constB55, bitIndex2)))),
% 8.68/6.20 inference(rewrite,[status(thm)],[])).
% 8.68/6.20 tff(14456,plain,
% 8.68/6.20 ((~![B: $i] : ((~less_3(B)) | (v121(constB55, B) <=> v124(constB55, B)))) | ((~less_3(bitIndex2)) | (v121(constB55, bitIndex2) <=> v124(constB55, bitIndex2)))),
% 8.68/6.20 inference(quant_inst,[status(thm)],[])).
% 8.68/6.20 tff(14457,plain,
% 8.68/6.20 ((~![B: $i] : ((~less_3(B)) | (v121(constB55, B) <=> v124(constB55, B)))) | (~less_3(bitIndex2)) | (v121(constB55, bitIndex2) <=> v124(constB55, bitIndex2))),
% 8.68/6.20 inference(modus_ponens,[status(thm)],[14456, 14455])).
% 8.68/6.20 tff(14458,plain,
% 8.68/6.20 (v121(constB55, bitIndex2) <=> v124(constB55, bitIndex2)),
% 8.68/6.20 inference(unit_resolution,[status(thm)],[14457, 832, 14454])).
% 8.68/6.20 tff(14459,plain,
% 8.68/6.20 (((~![VarCurr: $i] : ((~v116(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b100(B))))) | ((~v116(constB55)) | ![B: $i] : ((~less_3(B)) | (v124(constB55, B) <=> b100(B))))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b100(B))))) | (~v116(constB55)) | ![B: $i] : ((~less_3(B)) | (v124(constB55, B) <=> b100(B))))),
% 8.68/6.20 inference(rewrite,[status(thm)],[])).
% 8.68/6.20 tff(14460,plain,
% 8.68/6.20 ((~![VarCurr: $i] : ((~v116(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b100(B))))) | ((~v116(constB55)) | ![B: $i] : ((~less_3(B)) | (v124(constB55, B) <=> b100(B))))),
% 8.68/6.20 inference(quant_inst,[status(thm)],[])).
% 8.68/6.20 tff(14461,plain,
% 8.68/6.20 ((~![VarCurr: $i] : ((~v116(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b100(B))))) | (~v116(constB55)) | ![B: $i] : ((~less_3(B)) | (v124(constB55, B) <=> b100(B)))),
% 8.68/6.20 inference(modus_ponens,[status(thm)],[14460, 14459])).
% 8.68/6.20 tff(14462,plain,
% 8.68/6.20 ((~v116(constB55)) | ![B: $i] : ((~less_3(B)) | (v124(constB55, B) <=> b100(B)))),
% 8.68/6.20 inference(unit_resolution,[status(thm)],[14461, 10505])).
% 8.68/6.20 tff(14463,plain,
% 8.68/6.20 (![B: $i] : ((~less_3(B)) | (v124(constB55, B) <=> b100(B)))),
% 8.68/6.20 inference(unit_resolution,[status(thm)],[14462, 14390])).
% 8.68/6.20 tff(14464,plain,
% 8.68/6.20 (((~![B: $i] : ((~less_3(B)) | (v124(constB55, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v124(constB55, bitIndex2) <=> b100(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB55, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v124(constB55, bitIndex2) <=> b100(bitIndex2)))),
% 8.68/6.20 inference(rewrite,[status(thm)],[])).
% 8.68/6.20 tff(14465,plain,
% 8.68/6.20 ((~![B: $i] : ((~less_3(B)) | (v124(constB55, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v124(constB55, bitIndex2) <=> b100(bitIndex2)))),
% 8.68/6.20 inference(quant_inst,[status(thm)],[])).
% 8.68/6.20 tff(14466,plain,
% 8.68/6.20 ((~![B: $i] : ((~less_3(B)) | (v124(constB55, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v124(constB55, bitIndex2) <=> b100(bitIndex2))),
% 8.68/6.20 inference(modus_ponens,[status(thm)],[14465, 14464])).
% 8.68/6.20 tff(14467,plain,
% 8.68/6.20 (v124(constB55, bitIndex2) <=> b100(bitIndex2)),
% 8.68/6.20 inference(unit_resolution,[status(thm)],[14466, 832, 14463])).
% 8.68/6.20 tff(14468,plain,
% 8.68/6.20 ((~(v124(constB55, bitIndex2) <=> b100(bitIndex2))) | v124(constB55, bitIndex2) | (~b100(bitIndex2))),
% 8.68/6.20 inference(tautology,[status(thm)],[])).
% 8.68/6.20 tff(14469,plain,
% 8.68/6.20 ((~(v124(constB55, bitIndex2) <=> b100(bitIndex2))) | v124(constB55, bitIndex2)),
% 8.68/6.20 inference(unit_resolution,[status(thm)],[14468, 10517])).
% 8.68/6.20 tff(14470,plain,
% 8.68/6.20 (v124(constB55, bitIndex2)),
% 8.68/6.20 inference(unit_resolution,[status(thm)],[14469, 14467])).
% 8.68/6.20 tff(14471,plain,
% 8.68/6.20 ((~(v121(constB55, bitIndex2) <=> v124(constB55, bitIndex2))) | v121(constB55, bitIndex2) | (~v124(constB55, bitIndex2))),
% 8.68/6.20 inference(tautology,[status(thm)],[])).
% 8.68/6.20 tff(14472,plain,
% 8.68/6.20 (v121(constB55, bitIndex2)),
% 8.68/6.20 inference(unit_resolution,[status(thm)],[14471, 14470, 14458])).
% 8.68/6.20 tff(14473,plain,
% 8.68/6.20 ((~(v123(constB56, bitIndex2) <=> v121(constB55, bitIndex2))) | v123(constB56, bitIndex2) | (~v121(constB55, bitIndex2))),
% 8.68/6.20 inference(tautology,[status(thm)],[])).
% 8.68/6.20 tff(14474,plain,
% 8.68/6.20 (v123(constB56, bitIndex2)),
% 8.68/6.20 inference(unit_resolution,[status(thm)],[14473, 14472, 14450])).
% 8.68/6.20 tff(14475,plain,
% 8.68/6.20 ((~(v84(constB56, bitIndex2) <=> v123(constB56, bitIndex2))) | v84(constB56, bitIndex2) | (~v123(constB56, bitIndex2))),
% 8.68/6.20 inference(tautology,[status(thm)],[])).
% 8.68/6.20 tff(14476,plain,
% 8.68/6.20 (v84(constB56, bitIndex2)),
% 8.68/6.20 inference(unit_resolution,[status(thm)],[14475, 14474, 14442])).
% 8.68/6.20 tff(14477,plain,
% 8.68/6.20 ((~(v84(constB57, bitIndex2) <=> v84(constB56, bitIndex2))) | v84(constB57, bitIndex2) | (~v84(constB56, bitIndex2))),
% 8.68/6.20 inference(tautology,[status(thm)],[])).
% 8.68/6.20 tff(14478,plain,
% 8.68/6.20 (v84(constB57, bitIndex2)),
% 8.68/6.20 inference(unit_resolution,[status(thm)],[14477, 14476, 7200])).
% 8.68/6.20 tff(14479,plain,
% 8.68/6.20 (((~![B: $i] : ((~less_3(B)) | (v84(constB57, B) <=> v84(constB56, B)))) | ((~less_3(bitIndex0)) | (v84(constB57, bitIndex0) <=> v84(constB56, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB57, B) <=> v84(constB56, B)))) | (~less_3(bitIndex0)) | (v84(constB57, bitIndex0) <=> v84(constB56, bitIndex0)))),
% 8.68/6.20 inference(rewrite,[status(thm)],[])).
% 8.68/6.20 tff(14480,plain,
% 8.68/6.20 ((~![B: $i] : ((~less_3(B)) | (v84(constB57, B) <=> v84(constB56, B)))) | ((~less_3(bitIndex0)) | (v84(constB57, bitIndex0) <=> v84(constB56, bitIndex0)))),
% 8.68/6.20 inference(quant_inst,[status(thm)],[])).
% 8.68/6.20 tff(14481,plain,
% 8.68/6.20 ((~![B: $i] : ((~less_3(B)) | (v84(constB57, B) <=> v84(constB56, B)))) | (~less_3(bitIndex0)) | (v84(constB57, bitIndex0) <=> v84(constB56, bitIndex0))),
% 8.68/6.20 inference(modus_ponens,[status(thm)],[14480, 14479])).
% 8.68/6.20 tff(14482,plain,
% 8.68/6.20 (v84(constB57, bitIndex0) <=> v84(constB56, bitIndex0)),
% 8.68/6.20 inference(unit_resolution,[status(thm)],[14481, 9772, 7196])).
% 8.68/6.20 tff(14483,plain,
% 8.68/6.20 (((~![B: $i] : ((~less_3(B)) | (v84(constB56, B) <=> v123(constB56, B)))) | ((~less_3(bitIndex0)) | (v84(constB56, bitIndex0) <=> v123(constB56, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB56, B) <=> v123(constB56, B)))) | (~less_3(bitIndex0)) | (v84(constB56, bitIndex0) <=> v123(constB56, bitIndex0)))),
% 8.68/6.20 inference(rewrite,[status(thm)],[])).
% 8.68/6.20 tff(14484,plain,
% 8.68/6.20 ((~![B: $i] : ((~less_3(B)) | (v84(constB56, B) <=> v123(constB56, B)))) | ((~less_3(bitIndex0)) | (v84(constB56, bitIndex0) <=> v123(constB56, bitIndex0)))),
% 8.68/6.20 inference(quant_inst,[status(thm)],[])).
% 8.68/6.20 tff(14485,plain,
% 8.68/6.20 ((~![B: $i] : ((~less_3(B)) | (v84(constB56, B) <=> v123(constB56, B)))) | (~less_3(bitIndex0)) | (v84(constB56, bitIndex0) <=> v123(constB56, bitIndex0))),
% 8.68/6.20 inference(modus_ponens,[status(thm)],[14484, 14483])).
% 8.68/6.20 tff(14486,plain,
% 8.68/6.20 (v84(constB56, bitIndex0) <=> v123(constB56, bitIndex0)),
% 8.68/6.20 inference(unit_resolution,[status(thm)],[14485, 9772, 14438])).
% 8.68/6.20 tff(14487,plain,
% 8.68/6.20 (((~![B: $i] : ((~less_3(B)) | (v123(constB56, B) <=> v121(constB55, B)))) | ((~less_3(bitIndex0)) | (v123(constB56, bitIndex0) <=> v121(constB55, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB56, B) <=> v121(constB55, B)))) | (~less_3(bitIndex0)) | (v123(constB56, bitIndex0) <=> v121(constB55, bitIndex0)))),
% 8.68/6.20 inference(rewrite,[status(thm)],[])).
% 8.68/6.20 tff(14488,plain,
% 8.68/6.20 ((~![B: $i] : ((~less_3(B)) | (v123(constB56, B) <=> v121(constB55, B)))) | ((~less_3(bitIndex0)) | (v123(constB56, bitIndex0) <=> v121(constB55, bitIndex0)))),
% 8.68/6.20 inference(quant_inst,[status(thm)],[])).
% 8.68/6.20 tff(14489,plain,
% 8.68/6.20 ((~![B: $i] : ((~less_3(B)) | (v123(constB56, B) <=> v121(constB55, B)))) | (~less_3(bitIndex0)) | (v123(constB56, bitIndex0) <=> v121(constB55, bitIndex0))),
% 8.68/6.20 inference(modus_ponens,[status(thm)],[14488, 14487])).
% 8.68/6.20 tff(14490,plain,
% 8.68/6.20 (v123(constB56, bitIndex0) <=> v121(constB55, bitIndex0)),
% 8.68/6.20 inference(unit_resolution,[status(thm)],[14489, 9772, 14446])).
% 8.68/6.20 tff(14491,plain,
% 8.68/6.20 (((~![B: $i] : ((~less_3(B)) | (v121(constB55, B) <=> v124(constB55, B)))) | ((~less_3(bitIndex0)) | (v121(constB55, bitIndex0) <=> v124(constB55, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB55, B) <=> v124(constB55, B)))) | (~less_3(bitIndex0)) | (v121(constB55, bitIndex0) <=> v124(constB55, bitIndex0)))),
% 8.68/6.20 inference(rewrite,[status(thm)],[])).
% 8.68/6.20 tff(14492,plain,
% 8.68/6.20 ((~![B: $i] : ((~less_3(B)) | (v121(constB55, B) <=> v124(constB55, B)))) | ((~less_3(bitIndex0)) | (v121(constB55, bitIndex0) <=> v124(constB55, bitIndex0)))),
% 8.68/6.20 inference(quant_inst,[status(thm)],[])).
% 8.68/6.20 tff(14493,plain,
% 8.68/6.20 ((~![B: $i] : ((~less_3(B)) | (v121(constB55, B) <=> v124(constB55, B)))) | (~less_3(bitIndex0)) | (v121(constB55, bitIndex0) <=> v124(constB55, bitIndex0))),
% 8.68/6.20 inference(modus_ponens,[status(thm)],[14492, 14491])).
% 8.68/6.20 tff(14494,plain,
% 8.68/6.20 (v121(constB55, bitIndex0) <=> v124(constB55, bitIndex0)),
% 8.68/6.20 inference(unit_resolution,[status(thm)],[14493, 9772, 14454])).
% 8.68/6.20 tff(14495,plain,
% 8.68/6.20 (((~![B: $i] : ((~less_3(B)) | (v124(constB55, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v124(constB55, bitIndex0) <=> b100(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB55, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v124(constB55, bitIndex0) <=> b100(bitIndex0)))),
% 8.68/6.20 inference(rewrite,[status(thm)],[])).
% 8.68/6.20 tff(14496,plain,
% 8.68/6.20 ((~![B: $i] : ((~less_3(B)) | (v124(constB55, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v124(constB55, bitIndex0) <=> b100(bitIndex0)))),
% 8.68/6.20 inference(quant_inst,[status(thm)],[])).
% 8.68/6.20 tff(14497,plain,
% 8.68/6.20 ((~![B: $i] : ((~less_3(B)) | (v124(constB55, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v124(constB55, bitIndex0) <=> b100(bitIndex0))),
% 8.68/6.20 inference(modus_ponens,[status(thm)],[14496, 14495])).
% 8.68/6.20 tff(14498,plain,
% 8.68/6.20 (v124(constB55, bitIndex0) <=> b100(bitIndex0)),
% 8.68/6.20 inference(unit_resolution,[status(thm)],[14497, 9772, 14463])).
% 8.68/6.20 tff(14499,plain,
% 8.68/6.20 ((~(v124(constB55, bitIndex0) <=> b100(bitIndex0))) | (~v124(constB55, bitIndex0)) | b100(bitIndex0)),
% 8.68/6.20 inference(tautology,[status(thm)],[])).
% 8.68/6.20 tff(14500,plain,
% 8.68/6.20 ((~(v124(constB55, bitIndex0) <=> b100(bitIndex0))) | (~v124(constB55, bitIndex0))),
% 8.68/6.20 inference(unit_resolution,[status(thm)],[14499, 10551])).
% 8.68/6.20 tff(14501,plain,
% 8.68/6.20 (~v124(constB55, bitIndex0)),
% 8.68/6.20 inference(unit_resolution,[status(thm)],[14500, 14498])).
% 8.68/6.20 tff(14502,plain,
% 8.68/6.20 ((~(v121(constB55, bitIndex0) <=> v124(constB55, bitIndex0))) | (~v121(constB55, bitIndex0)) | v124(constB55, bitIndex0)),
% 8.68/6.20 inference(tautology,[status(thm)],[])).
% 8.68/6.20 tff(14503,plain,
% 8.68/6.20 (~v121(constB55, bitIndex0)),
% 8.68/6.20 inference(unit_resolution,[status(thm)],[14502, 14501, 14494])).
% 8.68/6.20 tff(14504,plain,
% 8.68/6.20 ((~(v123(constB56, bitIndex0) <=> v121(constB55, bitIndex0))) | (~v123(constB56, bitIndex0)) | v121(constB55, bitIndex0)),
% 8.68/6.20 inference(tautology,[status(thm)],[])).
% 8.68/6.20 tff(14505,plain,
% 8.68/6.20 (~v123(constB56, bitIndex0)),
% 8.68/6.20 inference(unit_resolution,[status(thm)],[14504, 14503, 14490])).
% 8.68/6.20 tff(14506,plain,
% 8.68/6.20 ((~(v84(constB56, bitIndex0) <=> v123(constB56, bitIndex0))) | (~v84(constB56, bitIndex0)) | v123(constB56, bitIndex0)),
% 8.68/6.20 inference(tautology,[status(thm)],[])).
% 8.68/6.20 tff(14507,plain,
% 8.68/6.20 (~v84(constB56, bitIndex0)),
% 8.68/6.20 inference(unit_resolution,[status(thm)],[14506, 14505, 14486])).
% 8.68/6.20 tff(14508,plain,
% 8.68/6.20 ((~(v84(constB57, bitIndex0) <=> v84(constB56, bitIndex0))) | (~v84(constB57, bitIndex0)) | v84(constB56, bitIndex0)),
% 8.68/6.20 inference(tautology,[status(thm)],[])).
% 8.68/6.20 tff(14509,plain,
% 8.68/6.20 (~v84(constB57, bitIndex0)),
% 8.68/6.20 inference(unit_resolution,[status(thm)],[14508, 14507, 14482])).
% 8.68/6.20 tff(14510,plain,
% 8.68/6.20 (((~![B: $i] : ((~less_3(B)) | (v84(constB57, B) <=> v84(constB56, B)))) | ((~less_3(bitIndex1)) | (v84(constB57, bitIndex1) <=> v84(constB56, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB57, B) <=> v84(constB56, B)))) | (~less_3(bitIndex1)) | (v84(constB57, bitIndex1) <=> v84(constB56, bitIndex1)))),
% 8.68/6.20 inference(rewrite,[status(thm)],[])).
% 8.68/6.20 tff(14511,plain,
% 8.68/6.20 ((~![B: $i] : ((~less_3(B)) | (v84(constB57, B) <=> v84(constB56, B)))) | ((~less_3(bitIndex1)) | (v84(constB57, bitIndex1) <=> v84(constB56, bitIndex1)))),
% 8.68/6.20 inference(quant_inst,[status(thm)],[])).
% 8.68/6.20 tff(14512,plain,
% 8.68/6.20 ((~![B: $i] : ((~less_3(B)) | (v84(constB57, B) <=> v84(constB56, B)))) | (~less_3(bitIndex1)) | (v84(constB57, bitIndex1) <=> v84(constB56, bitIndex1))),
% 8.68/6.20 inference(modus_ponens,[status(thm)],[14511, 14510])).
% 8.68/6.20 tff(14513,plain,
% 8.68/6.20 (v84(constB57, bitIndex1) <=> v84(constB56, bitIndex1)),
% 8.68/6.20 inference(unit_resolution,[status(thm)],[14512, 9785, 7196])).
% 8.68/6.20 tff(14514,plain,
% 8.68/6.20 (((~![B: $i] : ((~less_3(B)) | (v84(constB56, B) <=> v123(constB56, B)))) | ((~less_3(bitIndex1)) | (v84(constB56, bitIndex1) <=> v123(constB56, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB56, B) <=> v123(constB56, B)))) | (~less_3(bitIndex1)) | (v84(constB56, bitIndex1) <=> v123(constB56, bitIndex1)))),
% 8.68/6.20 inference(rewrite,[status(thm)],[])).
% 8.68/6.20 tff(14515,plain,
% 8.68/6.20 ((~![B: $i] : ((~less_3(B)) | (v84(constB56, B) <=> v123(constB56, B)))) | ((~less_3(bitIndex1)) | (v84(constB56, bitIndex1) <=> v123(constB56, bitIndex1)))),
% 8.68/6.20 inference(quant_inst,[status(thm)],[])).
% 8.68/6.20 tff(14516,plain,
% 8.68/6.20 ((~![B: $i] : ((~less_3(B)) | (v84(constB56, B) <=> v123(constB56, B)))) | (~less_3(bitIndex1)) | (v84(constB56, bitIndex1) <=> v123(constB56, bitIndex1))),
% 8.68/6.20 inference(modus_ponens,[status(thm)],[14515, 14514])).
% 8.68/6.20 tff(14517,plain,
% 8.68/6.20 (v84(constB56, bitIndex1) <=> v123(constB56, bitIndex1)),
% 8.68/6.20 inference(unit_resolution,[status(thm)],[14516, 9785, 14438])).
% 8.68/6.20 tff(14518,plain,
% 8.68/6.20 (((~![B: $i] : ((~less_3(B)) | (v123(constB56, B) <=> v121(constB55, B)))) | ((~less_3(bitIndex1)) | (v123(constB56, bitIndex1) <=> v121(constB55, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB56, B) <=> v121(constB55, B)))) | (~less_3(bitIndex1)) | (v123(constB56, bitIndex1) <=> v121(constB55, bitIndex1)))),
% 8.68/6.20 inference(rewrite,[status(thm)],[])).
% 8.68/6.20 tff(14519,plain,
% 8.68/6.20 ((~![B: $i] : ((~less_3(B)) | (v123(constB56, B) <=> v121(constB55, B)))) | ((~less_3(bitIndex1)) | (v123(constB56, bitIndex1) <=> v121(constB55, bitIndex1)))),
% 8.68/6.20 inference(quant_inst,[status(thm)],[])).
% 8.68/6.20 tff(14520,plain,
% 8.68/6.20 ((~![B: $i] : ((~less_3(B)) | (v123(constB56, B) <=> v121(constB55, B)))) | (~less_3(bitIndex1)) | (v123(constB56, bitIndex1) <=> v121(constB55, bitIndex1))),
% 8.68/6.20 inference(modus_ponens,[status(thm)],[14519, 14518])).
% 8.68/6.20 tff(14521,plain,
% 8.68/6.20 (v123(constB56, bitIndex1) <=> v121(constB55, bitIndex1)),
% 8.68/6.20 inference(unit_resolution,[status(thm)],[14520, 9785, 14446])).
% 8.68/6.20 tff(14522,plain,
% 8.68/6.20 (((~![B: $i] : ((~less_3(B)) | (v121(constB55, B) <=> v124(constB55, B)))) | ((~less_3(bitIndex1)) | (v121(constB55, bitIndex1) <=> v124(constB55, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB55, B) <=> v124(constB55, B)))) | (~less_3(bitIndex1)) | (v121(constB55, bitIndex1) <=> v124(constB55, bitIndex1)))),
% 8.68/6.20 inference(rewrite,[status(thm)],[])).
% 8.68/6.20 tff(14523,plain,
% 8.68/6.20 ((~![B: $i] : ((~less_3(B)) | (v121(constB55, B) <=> v124(constB55, B)))) | ((~less_3(bitIndex1)) | (v121(constB55, bitIndex1) <=> v124(constB55, bitIndex1)))),
% 8.68/6.20 inference(quant_inst,[status(thm)],[])).
% 8.68/6.20 tff(14524,plain,
% 8.68/6.20 ((~![B: $i] : ((~less_3(B)) | (v121(constB55, B) <=> v124(constB55, B)))) | (~less_3(bitIndex1)) | (v121(constB55, bitIndex1) <=> v124(constB55, bitIndex1))),
% 8.68/6.20 inference(modus_ponens,[status(thm)],[14523, 14522])).
% 8.68/6.20 tff(14525,plain,
% 8.68/6.20 (v121(constB55, bitIndex1) <=> v124(constB55, bitIndex1)),
% 8.68/6.20 inference(unit_resolution,[status(thm)],[14524, 9785, 14454])).
% 8.68/6.20 tff(14526,plain,
% 8.68/6.20 (((~![B: $i] : ((~less_3(B)) | (v124(constB55, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v124(constB55, bitIndex1) <=> b100(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB55, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v124(constB55, bitIndex1) <=> b100(bitIndex1)))),
% 8.68/6.20 inference(rewrite,[status(thm)],[])).
% 8.68/6.20 tff(14527,plain,
% 8.68/6.20 ((~![B: $i] : ((~less_3(B)) | (v124(constB55, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v124(constB55, bitIndex1) <=> b100(bitIndex1)))),
% 8.68/6.20 inference(quant_inst,[status(thm)],[])).
% 8.68/6.20 tff(14528,plain,
% 8.68/6.20 ((~![B: $i] : ((~less_3(B)) | (v124(constB55, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v124(constB55, bitIndex1) <=> b100(bitIndex1))),
% 8.68/6.20 inference(modus_ponens,[status(thm)],[14527, 14526])).
% 8.68/6.20 tff(14529,plain,
% 8.68/6.20 (v124(constB55, bitIndex1) <=> b100(bitIndex1)),
% 8.68/6.20 inference(unit_resolution,[status(thm)],[14528, 9785, 14463])).
% 8.68/6.20 tff(14530,plain,
% 8.68/6.20 ((~(v124(constB55, bitIndex1) <=> b100(bitIndex1))) | (~v124(constB55, bitIndex1)) | b100(bitIndex1)),
% 8.68/6.20 inference(tautology,[status(thm)],[])).
% 8.68/6.20 tff(14531,plain,
% 8.68/6.20 ((~(v124(constB55, bitIndex1) <=> b100(bitIndex1))) | (~v124(constB55, bitIndex1))),
% 8.68/6.20 inference(unit_resolution,[status(thm)],[14530, 10585])).
% 8.68/6.20 tff(14532,plain,
% 8.68/6.20 (~v124(constB55, bitIndex1)),
% 8.68/6.20 inference(unit_resolution,[status(thm)],[14531, 14529])).
% 8.68/6.20 tff(14533,plain,
% 8.68/6.20 ((~(v121(constB55, bitIndex1) <=> v124(constB55, bitIndex1))) | (~v121(constB55, bitIndex1)) | v124(constB55, bitIndex1)),
% 8.68/6.20 inference(tautology,[status(thm)],[])).
% 8.68/6.20 tff(14534,plain,
% 8.68/6.20 (~v121(constB55, bitIndex1)),
% 8.68/6.21 inference(unit_resolution,[status(thm)],[14533, 14532, 14525])).
% 8.68/6.21 tff(14535,plain,
% 8.68/6.21 ((~(v123(constB56, bitIndex1) <=> v121(constB55, bitIndex1))) | (~v123(constB56, bitIndex1)) | v121(constB55, bitIndex1)),
% 8.68/6.21 inference(tautology,[status(thm)],[])).
% 8.68/6.21 tff(14536,plain,
% 8.68/6.21 (~v123(constB56, bitIndex1)),
% 8.68/6.21 inference(unit_resolution,[status(thm)],[14535, 14534, 14521])).
% 8.68/6.21 tff(14537,plain,
% 8.68/6.21 ((~(v84(constB56, bitIndex1) <=> v123(constB56, bitIndex1))) | (~v84(constB56, bitIndex1)) | v123(constB56, bitIndex1)),
% 8.68/6.21 inference(tautology,[status(thm)],[])).
% 8.68/6.21 tff(14538,plain,
% 8.68/6.21 (~v84(constB56, bitIndex1)),
% 8.68/6.21 inference(unit_resolution,[status(thm)],[14537, 14536, 14517])).
% 8.68/6.21 tff(14539,plain,
% 8.68/6.21 ((~(v84(constB57, bitIndex1) <=> v84(constB56, bitIndex1))) | (~v84(constB57, bitIndex1)) | v84(constB56, bitIndex1)),
% 8.68/6.21 inference(tautology,[status(thm)],[])).
% 8.68/6.21 tff(14540,plain,
% 8.68/6.21 (~v84(constB57, bitIndex1)),
% 8.68/6.21 inference(unit_resolution,[status(thm)],[14539, 14538, 14513])).
% 8.68/6.21 tff(14541,plain,
% 8.68/6.21 ((~((~v84(constB57, bitIndex2)) | v84(constB57, bitIndex1) | v84(constB57, bitIndex0))) | (~v84(constB57, bitIndex2)) | v84(constB57, bitIndex1) | v84(constB57, bitIndex0)),
% 8.68/6.21 inference(tautology,[status(thm)],[])).
% 8.68/6.21 tff(14542,plain,
% 8.68/6.21 (~((~v84(constB57, bitIndex2)) | v84(constB57, bitIndex1) | v84(constB57, bitIndex0))),
% 8.68/6.21 inference(unit_resolution,[status(thm)],[14541, 14540, 14509, 14478])).
% 8.68/6.21 tff(14543,plain,
% 8.68/6.21 ((~(v117(constB57) <=> (~((~v84(constB57, bitIndex2)) | v84(constB57, bitIndex1) | v84(constB57, bitIndex0))))) | v117(constB57) | ((~v84(constB57, bitIndex2)) | v84(constB57, bitIndex1) | v84(constB57, bitIndex0))),
% 8.68/6.21 inference(tautology,[status(thm)],[])).
% 8.68/6.21 tff(14544,plain,
% 8.68/6.21 (v117(constB57)),
% 8.68/6.21 inference(unit_resolution,[status(thm)],[14543, 14542, 7168])).
% 8.68/6.21 tff(14545,plain,
% 8.68/6.21 ((v110(constB57) | v117(constB57)) | (~v117(constB57))),
% 8.68/6.21 inference(tautology,[status(thm)],[])).
% 8.68/6.21 tff(14546,plain,
% 8.68/6.21 (v110(constB57) | v117(constB57)),
% 8.68/6.21 inference(unit_resolution,[status(thm)],[14545, 14544])).
% 8.68/6.21 tff(14547,plain,
% 8.68/6.21 ((~(v109(constB57) <=> (v110(constB57) | v117(constB57)))) | v109(constB57) | (~(v110(constB57) | v117(constB57)))),
% 8.68/6.21 inference(tautology,[status(thm)],[])).
% 8.68/6.21 tff(14548,plain,
% 8.68/6.21 (v109(constB57)),
% 8.68/6.21 inference(unit_resolution,[status(thm)],[14547, 14546, 7161])).
% 8.68/6.21 tff(14549,plain,
% 8.68/6.21 ((v109(constB57) | v118(constB57)) | (~v109(constB57))),
% 8.68/6.21 inference(tautology,[status(thm)],[])).
% 8.68/6.21 tff(14550,plain,
% 8.68/6.21 (v109(constB57) | v118(constB57)),
% 8.68/6.21 inference(unit_resolution,[status(thm)],[14549, 14548])).
% 8.68/6.21 tff(14551,plain,
% 8.68/6.21 ((~(v108(constB57) <=> (v109(constB57) | v118(constB57)))) | v108(constB57) | (~(v109(constB57) | v118(constB57)))),
% 8.68/6.21 inference(tautology,[status(thm)],[])).
% 8.68/6.21 tff(14552,plain,
% 8.68/6.21 (v108(constB57)),
% 8.68/6.21 inference(unit_resolution,[status(thm)],[14551, 14550, 7159])).
% 8.68/6.21 tff(14553,plain,
% 8.68/6.21 ((v108(constB57) | v119(constB57)) | (~v108(constB57))),
% 8.68/6.21 inference(tautology,[status(thm)],[])).
% 8.68/6.21 tff(14554,plain,
% 8.68/6.21 (v108(constB57) | v119(constB57)),
% 8.68/6.21 inference(unit_resolution,[status(thm)],[14553, 14552])).
% 8.68/6.21 tff(14555,plain,
% 8.68/6.21 ((~(v107(constB57) <=> (v108(constB57) | v119(constB57)))) | v107(constB57) | (~(v108(constB57) | v119(constB57)))),
% 8.68/6.21 inference(tautology,[status(thm)],[])).
% 8.68/6.21 tff(14556,plain,
% 8.68/6.21 (v107(constB57)),
% 8.68/6.21 inference(unit_resolution,[status(thm)],[14555, 14554, 7157])).
% 8.68/6.21 tff(14557,plain,
% 8.68/6.21 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB57)) <=> v105(constB57))),
% 8.68/6.21 inference(quant_inst,[status(thm)],[])).
% 8.68/6.21 tff(14558,plain,
% 8.68/6.21 ((~v120(constB57)) <=> v105(constB57)),
% 8.68/6.21 inference(unit_resolution,[status(thm)],[14557, 9842])).
% 8.68/6.21 tff(14559,plain,
% 8.68/6.21 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB57) <=> v26(constB57))),
% 8.68/6.21 inference(quant_inst,[status(thm)],[])).
% 8.68/6.21 tff(14560,plain,
% 8.68/6.21 (v105(constB57) <=> v26(constB57)),
% 8.68/6.21 inference(unit_resolution,[status(thm)],[14559, 9854])).
% 8.68/6.21 tff(14561,plain,
% 8.68/6.21 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB57))),
% 8.68/6.21 inference(quant_inst,[status(thm)],[])).
% 8.68/6.21 tff(14562,plain,
% 8.68/6.21 (~v26(constB57)),
% 8.68/6.21 inference(unit_resolution,[status(thm)],[14561, 9866])).
% 8.68/6.21 tff(14563,plain,
% 8.68/6.21 ((~(v105(constB57) <=> v26(constB57))) | (~v105(constB57)) | v26(constB57)),
% 8.68/6.21 inference(tautology,[status(thm)],[])).
% 8.68/6.21 tff(14564,plain,
% 8.68/6.21 ((~(v105(constB57) <=> v26(constB57))) | (~v105(constB57))),
% 8.68/6.21 inference(unit_resolution,[status(thm)],[14563, 14562])).
% 8.68/6.21 tff(14565,plain,
% 8.68/6.21 (~v105(constB57)),
% 8.68/6.21 inference(unit_resolution,[status(thm)],[14564, 14560])).
% 8.68/6.21 tff(14566,plain,
% 8.68/6.21 ((~((~v120(constB57)) <=> v105(constB57))) | v120(constB57) | v105(constB57)),
% 8.68/6.21 inference(tautology,[status(thm)],[])).
% 8.68/6.21 tff(14567,plain,
% 8.68/6.21 ((~((~v120(constB57)) <=> v105(constB57))) | v120(constB57)),
% 8.68/6.21 inference(unit_resolution,[status(thm)],[14566, 14565])).
% 8.68/6.21 tff(14568,plain,
% 8.68/6.21 (v120(constB57)),
% 8.68/6.21 inference(unit_resolution,[status(thm)],[14567, 14558])).
% 8.68/6.21 tff(14569,plain,
% 8.68/6.21 ((~((~v107(constB57)) | (~v120(constB57)))) | (~v107(constB57)) | (~v120(constB57))),
% 8.68/6.21 inference(tautology,[status(thm)],[])).
% 8.68/6.21 tff(14570,plain,
% 8.68/6.21 ((~((~v107(constB57)) | (~v120(constB57)))) | (~v107(constB57))),
% 8.68/6.21 inference(unit_resolution,[status(thm)],[14569, 14568])).
% 8.68/6.21 tff(14571,plain,
% 8.68/6.21 (~((~v107(constB57)) | (~v120(constB57)))),
% 8.68/6.21 inference(unit_resolution,[status(thm)],[14570, 14556])).
% 8.68/6.21 tff(14572,plain,
% 8.68/6.21 ((~(v106(constB57) <=> (~((~v107(constB57)) | (~v120(constB57)))))) | v106(constB57) | ((~v107(constB57)) | (~v120(constB57)))),
% 8.68/6.21 inference(tautology,[status(thm)],[])).
% 8.68/6.21 tff(14573,plain,
% 8.68/6.21 (v106(constB57)),
% 8.68/6.21 inference(unit_resolution,[status(thm)],[14572, 14571, 7155])).
% 8.68/6.21 tff(14574,plain,
% 8.68/6.21 ((v105(constB57) | v106(constB57)) | (~v106(constB57))),
% 8.68/6.21 inference(tautology,[status(thm)],[])).
% 8.68/6.21 tff(14575,plain,
% 8.68/6.21 (v105(constB57) | v106(constB57)),
% 8.68/6.21 inference(unit_resolution,[status(thm)],[14574, 14573])).
% 8.68/6.21 tff(14576,plain,
% 8.68/6.21 ((~(v102(constB57) <=> (v105(constB57) | v106(constB57)))) | v102(constB57) | (~(v105(constB57) | v106(constB57)))),
% 8.68/6.21 inference(tautology,[status(thm)],[])).
% 8.68/6.21 tff(14577,plain,
% 8.68/6.21 (v102(constB57)),
% 8.68/6.21 inference(unit_resolution,[status(thm)],[14576, 14575, 7153])).
% 8.68/6.21 tff(14578,plain,
% 8.68/6.21 ((~(v104(constB58) <=> v102(constB57))) | v104(constB58) | (~v102(constB57))),
% 8.68/6.21 inference(tautology,[status(thm)],[])).
% 8.68/6.21 tff(14579,plain,
% 8.68/6.21 (v104(constB58)),
% 8.68/6.21 inference(unit_resolution,[status(thm)],[14578, 14577, 7151])).
% 8.68/6.21 tff(14580,plain,
% 8.68/6.21 ((~((~v104(constB58)) | (~v95(constB58)))) | (~v104(constB58)) | (~v95(constB58))),
% 8.68/6.21 inference(tautology,[status(thm)],[])).
% 8.68/6.21 tff(14581,plain,
% 8.68/6.21 (~((~v104(constB58)) | (~v95(constB58)))),
% 8.68/6.21 inference(unit_resolution,[status(thm)],[14580, 14579, 7147])).
% 8.68/6.21 tff(14582,plain,
% 8.68/6.21 ((~(v94(constB58) <=> (~((~v104(constB58)) | (~v95(constB58)))))) | v94(constB58) | ((~v104(constB58)) | (~v95(constB58)))),
% 8.68/6.21 inference(tautology,[status(thm)],[])).
% 8.68/6.21 tff(14583,plain,
% 8.68/6.21 (v94(constB58)),
% 8.68/6.21 inference(unit_resolution,[status(thm)],[14582, 14581, 7116])).
% 8.68/6.21 tff(14584,plain,
% 8.68/6.21 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB58)) | ![B: $i] : ((~less_3(B)) | (v84(constB58, B) <=> v123(constB58, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB58)) | ![B: $i] : ((~less_3(B)) | (v84(constB58, B) <=> v123(constB58, B))))),
% 8.68/6.21 inference(rewrite,[status(thm)],[])).
% 8.68/6.21 tff(14585,plain,
% 8.68/6.21 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB58)) | ![B: $i] : ((~less_3(B)) | (v84(constB58, B) <=> v123(constB58, B))))),
% 8.68/6.21 inference(quant_inst,[status(thm)],[])).
% 8.68/6.21 tff(14586,plain,
% 8.68/6.21 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB58)) | ![B: $i] : ((~less_3(B)) | (v84(constB58, B) <=> v123(constB58, B)))),
% 8.68/6.21 inference(modus_ponens,[status(thm)],[14585, 14584])).
% 8.68/6.21 tff(14587,plain,
% 8.68/6.21 ((~v94(constB58)) | ![B: $i] : ((~less_3(B)) | (v84(constB58, B) <=> v123(constB58, B)))),
% 8.68/6.21 inference(unit_resolution,[status(thm)],[14586, 9902])).
% 8.68/6.21 tff(14588,plain,
% 8.68/6.21 (![B: $i] : ((~less_3(B)) | (v84(constB58, B) <=> v123(constB58, B)))),
% 8.68/6.21 inference(unit_resolution,[status(thm)],[14587, 14583])).
% 8.68/6.21 tff(14589,plain,
% 8.68/6.21 (((~![B: $i] : ((~less_3(B)) | (v84(constB58, B) <=> v123(constB58, B)))) | ((~less_3(bitIndex2)) | (v84(constB58, bitIndex2) <=> v123(constB58, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB58, B) <=> v123(constB58, B)))) | (~less_3(bitIndex2)) | (v84(constB58, bitIndex2) <=> v123(constB58, bitIndex2)))),
% 8.68/6.21 inference(rewrite,[status(thm)],[])).
% 8.68/6.21 tff(14590,plain,
% 8.68/6.21 ((~![B: $i] : ((~less_3(B)) | (v84(constB58, B) <=> v123(constB58, B)))) | ((~less_3(bitIndex2)) | (v84(constB58, bitIndex2) <=> v123(constB58, bitIndex2)))),
% 8.68/6.21 inference(quant_inst,[status(thm)],[])).
% 8.68/6.21 tff(14591,plain,
% 8.68/6.21 ((~![B: $i] : ((~less_3(B)) | (v84(constB58, B) <=> v123(constB58, B)))) | (~less_3(bitIndex2)) | (v84(constB58, bitIndex2) <=> v123(constB58, bitIndex2))),
% 8.68/6.21 inference(modus_ponens,[status(thm)],[14590, 14589])).
% 8.68/6.21 tff(14592,plain,
% 8.68/6.21 (v84(constB58, bitIndex2) <=> v123(constB58, bitIndex2)),
% 8.68/6.21 inference(unit_resolution,[status(thm)],[14591, 832, 14588])).
% 8.68/6.21 tff(14593,plain,
% 8.68/6.21 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB57, constB58)) | ![B: $i] : ((~less_3(B)) | (v123(constB58, B) <=> v121(constB57, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB57, constB58)) | ![B: $i] : ((~less_3(B)) | (v123(constB58, B) <=> v121(constB57, B))))),
% 8.68/6.21 inference(rewrite,[status(thm)],[])).
% 8.68/6.21 tff(14594,plain,
% 8.68/6.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB57, constB58)) | ![B: $i] : ((~less_3(B)) | (v123(constB58, B) <=> v121(constB57, B))))),
% 8.68/6.21 inference(quant_inst,[status(thm)],[])).
% 8.68/6.21 tff(14595,plain,
% 8.68/6.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB57, constB58)) | ![B: $i] : ((~less_3(B)) | (v123(constB58, B) <=> v121(constB57, B)))),
% 8.68/6.21 inference(modus_ponens,[status(thm)],[14594, 14593])).
% 8.68/6.21 tff(14596,plain,
% 8.68/6.21 (![B: $i] : ((~less_3(B)) | (v123(constB58, B) <=> v121(constB57, B)))),
% 8.68/6.21 inference(unit_resolution,[status(thm)],[14595, 7112, 9924])).
% 8.68/6.21 tff(14597,plain,
% 8.68/6.21 (((~![B: $i] : ((~less_3(B)) | (v123(constB58, B) <=> v121(constB57, B)))) | ((~less_3(bitIndex2)) | (v123(constB58, bitIndex2) <=> v121(constB57, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB58, B) <=> v121(constB57, B)))) | (~less_3(bitIndex2)) | (v123(constB58, bitIndex2) <=> v121(constB57, bitIndex2)))),
% 8.68/6.21 inference(rewrite,[status(thm)],[])).
% 8.68/6.21 tff(14598,plain,
% 8.68/6.21 ((~![B: $i] : ((~less_3(B)) | (v123(constB58, B) <=> v121(constB57, B)))) | ((~less_3(bitIndex2)) | (v123(constB58, bitIndex2) <=> v121(constB57, bitIndex2)))),
% 8.68/6.21 inference(quant_inst,[status(thm)],[])).
% 8.68/6.21 tff(14599,plain,
% 8.68/6.21 ((~![B: $i] : ((~less_3(B)) | (v123(constB58, B) <=> v121(constB57, B)))) | (~less_3(bitIndex2)) | (v123(constB58, bitIndex2) <=> v121(constB57, bitIndex2))),
% 8.68/6.21 inference(modus_ponens,[status(thm)],[14598, 14597])).
% 8.68/6.21 tff(14600,plain,
% 8.68/6.21 (v123(constB58, bitIndex2) <=> v121(constB57, bitIndex2)),
% 8.68/6.21 inference(unit_resolution,[status(thm)],[14599, 832, 14596])).
% 8.68/6.21 tff(14601,plain,
% 8.68/6.21 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB57) | ![B: $i] : ((~less_3(B)) | (v121(constB57, B) <=> v124(constB57, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB57) | ![B: $i] : ((~less_3(B)) | (v121(constB57, B) <=> v124(constB57, B))))),
% 8.68/6.21 inference(rewrite,[status(thm)],[])).
% 8.68/6.21 tff(14602,plain,
% 8.68/6.21 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB57) | ![B: $i] : ((~less_3(B)) | (v121(constB57, B) <=> v124(constB57, B))))),
% 8.68/6.21 inference(quant_inst,[status(thm)],[])).
% 8.68/6.21 tff(14603,plain,
% 8.68/6.21 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB57) | ![B: $i] : ((~less_3(B)) | (v121(constB57, B) <=> v124(constB57, B)))),
% 8.68/6.21 inference(modus_ponens,[status(thm)],[14602, 14601])).
% 8.68/6.21 tff(14604,plain,
% 8.68/6.21 (![B: $i] : ((~less_3(B)) | (v121(constB57, B) <=> v124(constB57, B)))),
% 8.68/6.21 inference(unit_resolution,[status(thm)],[14603, 9945, 14565])).
% 8.68/6.21 tff(14605,plain,
% 8.68/6.21 (((~![B: $i] : ((~less_3(B)) | (v121(constB57, B) <=> v124(constB57, B)))) | ((~less_3(bitIndex2)) | (v121(constB57, bitIndex2) <=> v124(constB57, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB57, B) <=> v124(constB57, B)))) | (~less_3(bitIndex2)) | (v121(constB57, bitIndex2) <=> v124(constB57, bitIndex2)))),
% 8.68/6.21 inference(rewrite,[status(thm)],[])).
% 8.68/6.21 tff(14606,plain,
% 8.68/6.21 ((~![B: $i] : ((~less_3(B)) | (v121(constB57, B) <=> v124(constB57, B)))) | ((~less_3(bitIndex2)) | (v121(constB57, bitIndex2) <=> v124(constB57, bitIndex2)))),
% 8.68/6.21 inference(quant_inst,[status(thm)],[])).
% 8.68/6.21 tff(14607,plain,
% 8.68/6.21 ((~![B: $i] : ((~less_3(B)) | (v121(constB57, B) <=> v124(constB57, B)))) | (~less_3(bitIndex2)) | (v121(constB57, bitIndex2) <=> v124(constB57, bitIndex2))),
% 8.68/6.21 inference(modus_ponens,[status(thm)],[14606, 14605])).
% 8.68/6.21 tff(14608,plain,
% 8.68/6.21 (v121(constB57, bitIndex2) <=> v124(constB57, bitIndex2)),
% 8.68/6.21 inference(unit_resolution,[status(thm)],[14607, 832, 14604])).
% 8.68/6.21 tff(14609,plain,
% 8.68/6.21 (((~![VarCurr: $i] : ((~v117(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b101(B))))) | ((~v117(constB57)) | ![B: $i] : ((~less_3(B)) | (v124(constB57, B) <=> b101(B))))) <=> ((~![VarCurr: $i] : ((~v117(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b101(B))))) | (~v117(constB57)) | ![B: $i] : ((~less_3(B)) | (v124(constB57, B) <=> b101(B))))),
% 8.68/6.21 inference(rewrite,[status(thm)],[])).
% 8.68/6.21 tff(14610,plain,
% 8.68/6.21 ((~![VarCurr: $i] : ((~v117(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b101(B))))) | ((~v117(constB57)) | ![B: $i] : ((~less_3(B)) | (v124(constB57, B) <=> b101(B))))),
% 8.68/6.21 inference(quant_inst,[status(thm)],[])).
% 8.68/6.21 tff(14611,plain,
% 8.68/6.21 ((~![VarCurr: $i] : ((~v117(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b101(B))))) | (~v117(constB57)) | ![B: $i] : ((~less_3(B)) | (v124(constB57, B) <=> b101(B)))),
% 8.68/6.21 inference(modus_ponens,[status(thm)],[14610, 14609])).
% 8.68/6.21 tff(14612,plain,
% 8.68/6.21 ((~v117(constB57)) | ![B: $i] : ((~less_3(B)) | (v124(constB57, B) <=> b101(B)))),
% 8.68/6.21 inference(unit_resolution,[status(thm)],[14611, 10677])).
% 8.68/6.21 tff(14613,plain,
% 8.68/6.21 (![B: $i] : ((~less_3(B)) | (v124(constB57, B) <=> b101(B)))),
% 8.68/6.21 inference(unit_resolution,[status(thm)],[14612, 14544])).
% 8.68/6.21 tff(14614,plain,
% 8.68/6.21 (((~![B: $i] : ((~less_3(B)) | (v124(constB57, B) <=> b101(B)))) | ((~less_3(bitIndex2)) | (v124(constB57, bitIndex2) <=> b101(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB57, B) <=> b101(B)))) | (~less_3(bitIndex2)) | (v124(constB57, bitIndex2) <=> b101(bitIndex2)))),
% 8.68/6.21 inference(rewrite,[status(thm)],[])).
% 8.68/6.21 tff(14615,plain,
% 8.68/6.21 ((~![B: $i] : ((~less_3(B)) | (v124(constB57, B) <=> b101(B)))) | ((~less_3(bitIndex2)) | (v124(constB57, bitIndex2) <=> b101(bitIndex2)))),
% 8.68/6.21 inference(quant_inst,[status(thm)],[])).
% 8.68/6.21 tff(14616,plain,
% 8.68/6.21 ((~![B: $i] : ((~less_3(B)) | (v124(constB57, B) <=> b101(B)))) | (~less_3(bitIndex2)) | (v124(constB57, bitIndex2) <=> b101(bitIndex2))),
% 8.68/6.21 inference(modus_ponens,[status(thm)],[14615, 14614])).
% 8.68/6.21 tff(14617,plain,
% 8.68/6.21 (v124(constB57, bitIndex2) <=> b101(bitIndex2)),
% 8.68/6.21 inference(unit_resolution,[status(thm)],[14616, 832, 14613])).
% 8.68/6.21 tff(14618,plain,
% 8.68/6.21 ((~(v124(constB57, bitIndex2) <=> b101(bitIndex2))) | v124(constB57, bitIndex2) | (~b101(bitIndex2))),
% 8.68/6.21 inference(tautology,[status(thm)],[])).
% 8.68/6.21 tff(14619,plain,
% 8.68/6.21 ((~(v124(constB57, bitIndex2) <=> b101(bitIndex2))) | v124(constB57, bitIndex2)),
% 8.68/6.21 inference(unit_resolution,[status(thm)],[14618, 10689])).
% 8.68/6.21 tff(14620,plain,
% 8.68/6.21 (v124(constB57, bitIndex2)),
% 8.68/6.21 inference(unit_resolution,[status(thm)],[14619, 14617])).
% 8.68/6.21 tff(14621,plain,
% 8.68/6.21 ((~(v121(constB57, bitIndex2) <=> v124(constB57, bitIndex2))) | v121(constB57, bitIndex2) | (~v124(constB57, bitIndex2))),
% 8.68/6.21 inference(tautology,[status(thm)],[])).
% 8.68/6.21 tff(14622,plain,
% 8.68/6.21 (v121(constB57, bitIndex2)),
% 8.68/6.21 inference(unit_resolution,[status(thm)],[14621, 14620, 14608])).
% 8.68/6.21 tff(14623,plain,
% 8.68/6.21 ((~(v123(constB58, bitIndex2) <=> v121(constB57, bitIndex2))) | v123(constB58, bitIndex2) | (~v121(constB57, bitIndex2))),
% 8.68/6.21 inference(tautology,[status(thm)],[])).
% 8.68/6.21 tff(14624,plain,
% 8.68/6.21 (v123(constB58, bitIndex2)),
% 8.68/6.21 inference(unit_resolution,[status(thm)],[14623, 14622, 14600])).
% 8.68/6.21 tff(14625,plain,
% 8.68/6.21 ((~(v84(constB58, bitIndex2) <=> v123(constB58, bitIndex2))) | v84(constB58, bitIndex2) | (~v123(constB58, bitIndex2))),
% 8.68/6.21 inference(tautology,[status(thm)],[])).
% 8.68/6.21 tff(14626,plain,
% 8.68/6.21 (v84(constB58, bitIndex2)),
% 8.68/6.21 inference(unit_resolution,[status(thm)],[14625, 14624, 14592])).
% 8.68/6.21 tff(14627,plain,
% 8.68/6.21 ((~(v84(constB59, bitIndex2) <=> v84(constB58, bitIndex2))) | v84(constB59, bitIndex2) | (~v84(constB58, bitIndex2))),
% 8.68/6.21 inference(tautology,[status(thm)],[])).
% 8.68/6.21 tff(14628,plain,
% 8.68/6.21 (v84(constB59, bitIndex2)),
% 8.68/6.21 inference(unit_resolution,[status(thm)],[14627, 14626, 7109])).
% 8.68/6.21 tff(14629,plain,
% 8.68/6.21 (((~![B: $i] : ((~less_3(B)) | (v84(constB59, B) <=> v84(constB58, B)))) | ((~less_3(bitIndex0)) | (v84(constB59, bitIndex0) <=> v84(constB58, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB59, B) <=> v84(constB58, B)))) | (~less_3(bitIndex0)) | (v84(constB59, bitIndex0) <=> v84(constB58, bitIndex0)))),
% 8.68/6.21 inference(rewrite,[status(thm)],[])).
% 8.68/6.21 tff(14630,plain,
% 8.68/6.21 ((~![B: $i] : ((~less_3(B)) | (v84(constB59, B) <=> v84(constB58, B)))) | ((~less_3(bitIndex0)) | (v84(constB59, bitIndex0) <=> v84(constB58, bitIndex0)))),
% 8.68/6.21 inference(quant_inst,[status(thm)],[])).
% 8.68/6.21 tff(14631,plain,
% 8.68/6.21 ((~![B: $i] : ((~less_3(B)) | (v84(constB59, B) <=> v84(constB58, B)))) | (~less_3(bitIndex0)) | (v84(constB59, bitIndex0) <=> v84(constB58, bitIndex0))),
% 8.68/6.21 inference(modus_ponens,[status(thm)],[14630, 14629])).
% 8.68/6.21 tff(14632,plain,
% 8.68/6.21 (v84(constB59, bitIndex0) <=> v84(constB58, bitIndex0)),
% 8.68/6.21 inference(unit_resolution,[status(thm)],[14631, 9772, 7105])).
% 8.68/6.21 tff(14633,plain,
% 8.68/6.21 (((~![B: $i] : ((~less_3(B)) | (v84(constB58, B) <=> v123(constB58, B)))) | ((~less_3(bitIndex0)) | (v84(constB58, bitIndex0) <=> v123(constB58, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB58, B) <=> v123(constB58, B)))) | (~less_3(bitIndex0)) | (v84(constB58, bitIndex0) <=> v123(constB58, bitIndex0)))),
% 8.68/6.21 inference(rewrite,[status(thm)],[])).
% 8.68/6.21 tff(14634,plain,
% 8.68/6.21 ((~![B: $i] : ((~less_3(B)) | (v84(constB58, B) <=> v123(constB58, B)))) | ((~less_3(bitIndex0)) | (v84(constB58, bitIndex0) <=> v123(constB58, bitIndex0)))),
% 8.68/6.21 inference(quant_inst,[status(thm)],[])).
% 8.68/6.21 tff(14635,plain,
% 8.68/6.21 ((~![B: $i] : ((~less_3(B)) | (v84(constB58, B) <=> v123(constB58, B)))) | (~less_3(bitIndex0)) | (v84(constB58, bitIndex0) <=> v123(constB58, bitIndex0))),
% 8.68/6.21 inference(modus_ponens,[status(thm)],[14634, 14633])).
% 8.68/6.21 tff(14636,plain,
% 8.68/6.21 (v84(constB58, bitIndex0) <=> v123(constB58, bitIndex0)),
% 8.68/6.21 inference(unit_resolution,[status(thm)],[14635, 9772, 14588])).
% 8.68/6.21 tff(14637,plain,
% 8.68/6.21 (((~![B: $i] : ((~less_3(B)) | (v123(constB58, B) <=> v121(constB57, B)))) | ((~less_3(bitIndex0)) | (v123(constB58, bitIndex0) <=> v121(constB57, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB58, B) <=> v121(constB57, B)))) | (~less_3(bitIndex0)) | (v123(constB58, bitIndex0) <=> v121(constB57, bitIndex0)))),
% 8.68/6.21 inference(rewrite,[status(thm)],[])).
% 8.68/6.21 tff(14638,plain,
% 8.68/6.21 ((~![B: $i] : ((~less_3(B)) | (v123(constB58, B) <=> v121(constB57, B)))) | ((~less_3(bitIndex0)) | (v123(constB58, bitIndex0) <=> v121(constB57, bitIndex0)))),
% 8.68/6.21 inference(quant_inst,[status(thm)],[])).
% 8.68/6.21 tff(14639,plain,
% 8.68/6.21 ((~![B: $i] : ((~less_3(B)) | (v123(constB58, B) <=> v121(constB57, B)))) | (~less_3(bitIndex0)) | (v123(constB58, bitIndex0) <=> v121(constB57, bitIndex0))),
% 8.68/6.21 inference(modus_ponens,[status(thm)],[14638, 14637])).
% 8.68/6.21 tff(14640,plain,
% 8.68/6.21 (v123(constB58, bitIndex0) <=> v121(constB57, bitIndex0)),
% 8.68/6.21 inference(unit_resolution,[status(thm)],[14639, 9772, 14596])).
% 8.68/6.21 tff(14641,plain,
% 8.68/6.21 (((~![B: $i] : ((~less_3(B)) | (v121(constB57, B) <=> v124(constB57, B)))) | ((~less_3(bitIndex0)) | (v121(constB57, bitIndex0) <=> v124(constB57, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB57, B) <=> v124(constB57, B)))) | (~less_3(bitIndex0)) | (v121(constB57, bitIndex0) <=> v124(constB57, bitIndex0)))),
% 8.68/6.21 inference(rewrite,[status(thm)],[])).
% 8.68/6.21 tff(14642,plain,
% 8.68/6.21 ((~![B: $i] : ((~less_3(B)) | (v121(constB57, B) <=> v124(constB57, B)))) | ((~less_3(bitIndex0)) | (v121(constB57, bitIndex0) <=> v124(constB57, bitIndex0)))),
% 8.68/6.21 inference(quant_inst,[status(thm)],[])).
% 8.68/6.21 tff(14643,plain,
% 8.68/6.21 ((~![B: $i] : ((~less_3(B)) | (v121(constB57, B) <=> v124(constB57, B)))) | (~less_3(bitIndex0)) | (v121(constB57, bitIndex0) <=> v124(constB57, bitIndex0))),
% 8.68/6.21 inference(modus_ponens,[status(thm)],[14642, 14641])).
% 8.68/6.21 tff(14644,plain,
% 8.68/6.21 (v121(constB57, bitIndex0) <=> v124(constB57, bitIndex0)),
% 8.68/6.21 inference(unit_resolution,[status(thm)],[14643, 9772, 14604])).
% 8.68/6.21 tff(14645,plain,
% 8.68/6.21 (((~![B: $i] : ((~less_3(B)) | (v124(constB57, B) <=> b101(B)))) | ((~less_3(bitIndex0)) | (v124(constB57, bitIndex0) <=> b101(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB57, B) <=> b101(B)))) | (~less_3(bitIndex0)) | (v124(constB57, bitIndex0) <=> b101(bitIndex0)))),
% 8.68/6.21 inference(rewrite,[status(thm)],[])).
% 8.68/6.21 tff(14646,plain,
% 8.68/6.21 ((~![B: $i] : ((~less_3(B)) | (v124(constB57, B) <=> b101(B)))) | ((~less_3(bitIndex0)) | (v124(constB57, bitIndex0) <=> b101(bitIndex0)))),
% 8.68/6.21 inference(quant_inst,[status(thm)],[])).
% 8.68/6.21 tff(14647,plain,
% 8.68/6.21 ((~![B: $i] : ((~less_3(B)) | (v124(constB57, B) <=> b101(B)))) | (~less_3(bitIndex0)) | (v124(constB57, bitIndex0) <=> b101(bitIndex0))),
% 8.68/6.21 inference(modus_ponens,[status(thm)],[14646, 14645])).
% 8.68/6.21 tff(14648,plain,
% 8.68/6.21 (v124(constB57, bitIndex0) <=> b101(bitIndex0)),
% 8.68/6.21 inference(unit_resolution,[status(thm)],[14647, 9772, 14613])).
% 8.68/6.21 tff(14649,plain,
% 8.68/6.21 ((~(v124(constB57, bitIndex0) <=> b101(bitIndex0))) | v124(constB57, bitIndex0) | (~b101(bitIndex0))),
% 8.68/6.21 inference(tautology,[status(thm)],[])).
% 8.68/6.21 tff(14650,plain,
% 8.68/6.21 ((~(v124(constB57, bitIndex0) <=> b101(bitIndex0))) | v124(constB57, bitIndex0)),
% 8.68/6.21 inference(unit_resolution,[status(thm)],[14649, 10723])).
% 8.68/6.21 tff(14651,plain,
% 8.68/6.21 (v124(constB57, bitIndex0)),
% 8.68/6.21 inference(unit_resolution,[status(thm)],[14650, 14648])).
% 8.68/6.21 tff(14652,plain,
% 8.68/6.21 ((~(v121(constB57, bitIndex0) <=> v124(constB57, bitIndex0))) | v121(constB57, bitIndex0) | (~v124(constB57, bitIndex0))),
% 8.68/6.21 inference(tautology,[status(thm)],[])).
% 8.68/6.21 tff(14653,plain,
% 8.68/6.21 (v121(constB57, bitIndex0)),
% 8.68/6.21 inference(unit_resolution,[status(thm)],[14652, 14651, 14644])).
% 8.68/6.21 tff(14654,plain,
% 8.68/6.21 ((~(v123(constB58, bitIndex0) <=> v121(constB57, bitIndex0))) | v123(constB58, bitIndex0) | (~v121(constB57, bitIndex0))),
% 8.68/6.21 inference(tautology,[status(thm)],[])).
% 8.68/6.21 tff(14655,plain,
% 8.68/6.21 (v123(constB58, bitIndex0)),
% 8.68/6.21 inference(unit_resolution,[status(thm)],[14654, 14653, 14640])).
% 8.68/6.21 tff(14656,plain,
% 8.68/6.21 ((~(v84(constB58, bitIndex0) <=> v123(constB58, bitIndex0))) | v84(constB58, bitIndex0) | (~v123(constB58, bitIndex0))),
% 8.68/6.21 inference(tautology,[status(thm)],[])).
% 8.68/6.21 tff(14657,plain,
% 8.68/6.21 (v84(constB58, bitIndex0)),
% 8.68/6.21 inference(unit_resolution,[status(thm)],[14656, 14655, 14636])).
% 8.68/6.21 tff(14658,plain,
% 8.68/6.21 ((~(v84(constB59, bitIndex0) <=> v84(constB58, bitIndex0))) | v84(constB59, bitIndex0) | (~v84(constB58, bitIndex0))),
% 8.68/6.21 inference(tautology,[status(thm)],[])).
% 8.68/6.21 tff(14659,plain,
% 8.68/6.21 (v84(constB59, bitIndex0)),
% 8.68/6.21 inference(unit_resolution,[status(thm)],[14658, 14657, 14632])).
% 8.68/6.21 tff(14660,plain,
% 8.68/6.21 (((~![B: $i] : ((~less_3(B)) | (v84(constB59, B) <=> v84(constB58, B)))) | ((~less_3(bitIndex1)) | (v84(constB59, bitIndex1) <=> v84(constB58, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB59, B) <=> v84(constB58, B)))) | (~less_3(bitIndex1)) | (v84(constB59, bitIndex1) <=> v84(constB58, bitIndex1)))),
% 8.68/6.21 inference(rewrite,[status(thm)],[])).
% 8.68/6.21 tff(14661,plain,
% 8.68/6.21 ((~![B: $i] : ((~less_3(B)) | (v84(constB59, B) <=> v84(constB58, B)))) | ((~less_3(bitIndex1)) | (v84(constB59, bitIndex1) <=> v84(constB58, bitIndex1)))),
% 8.68/6.21 inference(quant_inst,[status(thm)],[])).
% 8.68/6.21 tff(14662,plain,
% 8.68/6.21 ((~![B: $i] : ((~less_3(B)) | (v84(constB59, B) <=> v84(constB58, B)))) | (~less_3(bitIndex1)) | (v84(constB59, bitIndex1) <=> v84(constB58, bitIndex1))),
% 8.68/6.21 inference(modus_ponens,[status(thm)],[14661, 14660])).
% 8.68/6.21 tff(14663,plain,
% 8.68/6.21 (v84(constB59, bitIndex1) <=> v84(constB58, bitIndex1)),
% 8.68/6.21 inference(unit_resolution,[status(thm)],[14662, 9785, 7105])).
% 8.68/6.21 tff(14664,plain,
% 8.68/6.21 (((~![B: $i] : ((~less_3(B)) | (v84(constB58, B) <=> v123(constB58, B)))) | ((~less_3(bitIndex1)) | (v84(constB58, bitIndex1) <=> v123(constB58, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB58, B) <=> v123(constB58, B)))) | (~less_3(bitIndex1)) | (v84(constB58, bitIndex1) <=> v123(constB58, bitIndex1)))),
% 8.68/6.21 inference(rewrite,[status(thm)],[])).
% 8.68/6.21 tff(14665,plain,
% 8.68/6.21 ((~![B: $i] : ((~less_3(B)) | (v84(constB58, B) <=> v123(constB58, B)))) | ((~less_3(bitIndex1)) | (v84(constB58, bitIndex1) <=> v123(constB58, bitIndex1)))),
% 8.68/6.21 inference(quant_inst,[status(thm)],[])).
% 8.68/6.21 tff(14666,plain,
% 8.68/6.21 ((~![B: $i] : ((~less_3(B)) | (v84(constB58, B) <=> v123(constB58, B)))) | (~less_3(bitIndex1)) | (v84(constB58, bitIndex1) <=> v123(constB58, bitIndex1))),
% 8.68/6.21 inference(modus_ponens,[status(thm)],[14665, 14664])).
% 8.68/6.21 tff(14667,plain,
% 8.68/6.21 (v84(constB58, bitIndex1) <=> v123(constB58, bitIndex1)),
% 8.68/6.21 inference(unit_resolution,[status(thm)],[14666, 9785, 14588])).
% 8.68/6.21 tff(14668,plain,
% 8.68/6.21 (((~![B: $i] : ((~less_3(B)) | (v123(constB58, B) <=> v121(constB57, B)))) | ((~less_3(bitIndex1)) | (v123(constB58, bitIndex1) <=> v121(constB57, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB58, B) <=> v121(constB57, B)))) | (~less_3(bitIndex1)) | (v123(constB58, bitIndex1) <=> v121(constB57, bitIndex1)))),
% 8.68/6.21 inference(rewrite,[status(thm)],[])).
% 8.68/6.21 tff(14669,plain,
% 8.68/6.21 ((~![B: $i] : ((~less_3(B)) | (v123(constB58, B) <=> v121(constB57, B)))) | ((~less_3(bitIndex1)) | (v123(constB58, bitIndex1) <=> v121(constB57, bitIndex1)))),
% 8.68/6.21 inference(quant_inst,[status(thm)],[])).
% 8.68/6.21 tff(14670,plain,
% 8.68/6.21 ((~![B: $i] : ((~less_3(B)) | (v123(constB58, B) <=> v121(constB57, B)))) | (~less_3(bitIndex1)) | (v123(constB58, bitIndex1) <=> v121(constB57, bitIndex1))),
% 8.68/6.21 inference(modus_ponens,[status(thm)],[14669, 14668])).
% 8.68/6.21 tff(14671,plain,
% 8.68/6.21 (v123(constB58, bitIndex1) <=> v121(constB57, bitIndex1)),
% 8.68/6.21 inference(unit_resolution,[status(thm)],[14670, 9785, 14596])).
% 8.68/6.21 tff(14672,plain,
% 8.68/6.21 (((~![B: $i] : ((~less_3(B)) | (v121(constB57, B) <=> v124(constB57, B)))) | ((~less_3(bitIndex1)) | (v121(constB57, bitIndex1) <=> v124(constB57, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB57, B) <=> v124(constB57, B)))) | (~less_3(bitIndex1)) | (v121(constB57, bitIndex1) <=> v124(constB57, bitIndex1)))),
% 8.68/6.21 inference(rewrite,[status(thm)],[])).
% 8.68/6.21 tff(14673,plain,
% 8.68/6.21 ((~![B: $i] : ((~less_3(B)) | (v121(constB57, B) <=> v124(constB57, B)))) | ((~less_3(bitIndex1)) | (v121(constB57, bitIndex1) <=> v124(constB57, bitIndex1)))),
% 8.68/6.21 inference(quant_inst,[status(thm)],[])).
% 8.68/6.21 tff(14674,plain,
% 8.68/6.21 ((~![B: $i] : ((~less_3(B)) | (v121(constB57, B) <=> v124(constB57, B)))) | (~less_3(bitIndex1)) | (v121(constB57, bitIndex1) <=> v124(constB57, bitIndex1))),
% 8.68/6.21 inference(modus_ponens,[status(thm)],[14673, 14672])).
% 8.68/6.21 tff(14675,plain,
% 8.68/6.21 (v121(constB57, bitIndex1) <=> v124(constB57, bitIndex1)),
% 8.68/6.21 inference(unit_resolution,[status(thm)],[14674, 9785, 14604])).
% 8.68/6.21 tff(14676,plain,
% 8.68/6.21 (((~![B: $i] : ((~less_3(B)) | (v124(constB57, B) <=> b101(B)))) | ((~less_3(bitIndex1)) | (v124(constB57, bitIndex1) <=> b101(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB57, B) <=> b101(B)))) | (~less_3(bitIndex1)) | (v124(constB57, bitIndex1) <=> b101(bitIndex1)))),
% 8.68/6.21 inference(rewrite,[status(thm)],[])).
% 8.68/6.21 tff(14677,plain,
% 8.68/6.21 ((~![B: $i] : ((~less_3(B)) | (v124(constB57, B) <=> b101(B)))) | ((~less_3(bitIndex1)) | (v124(constB57, bitIndex1) <=> b101(bitIndex1)))),
% 8.68/6.21 inference(quant_inst,[status(thm)],[])).
% 8.68/6.21 tff(14678,plain,
% 8.68/6.21 ((~![B: $i] : ((~less_3(B)) | (v124(constB57, B) <=> b101(B)))) | (~less_3(bitIndex1)) | (v124(constB57, bitIndex1) <=> b101(bitIndex1))),
% 8.68/6.21 inference(modus_ponens,[status(thm)],[14677, 14676])).
% 8.68/6.21 tff(14679,plain,
% 8.68/6.21 (v124(constB57, bitIndex1) <=> b101(bitIndex1)),
% 8.68/6.21 inference(unit_resolution,[status(thm)],[14678, 9785, 14613])).
% 8.68/6.21 tff(14680,plain,
% 8.68/6.21 ((~(v124(constB57, bitIndex1) <=> b101(bitIndex1))) | (~v124(constB57, bitIndex1)) | b101(bitIndex1)),
% 8.68/6.21 inference(tautology,[status(thm)],[])).
% 8.68/6.21 tff(14681,plain,
% 8.68/6.21 ((~(v124(constB57, bitIndex1) <=> b101(bitIndex1))) | (~v124(constB57, bitIndex1))),
% 8.68/6.21 inference(unit_resolution,[status(thm)],[14680, 10757])).
% 8.68/6.21 tff(14682,plain,
% 8.68/6.21 (~v124(constB57, bitIndex1)),
% 8.68/6.21 inference(unit_resolution,[status(thm)],[14681, 14679])).
% 8.68/6.21 tff(14683,plain,
% 8.68/6.21 ((~(v121(constB57, bitIndex1) <=> v124(constB57, bitIndex1))) | (~v121(constB57, bitIndex1)) | v124(constB57, bitIndex1)),
% 8.68/6.21 inference(tautology,[status(thm)],[])).
% 8.68/6.21 tff(14684,plain,
% 8.68/6.21 (~v121(constB57, bitIndex1)),
% 8.68/6.21 inference(unit_resolution,[status(thm)],[14683, 14682, 14675])).
% 8.68/6.21 tff(14685,plain,
% 8.68/6.21 ((~(v123(constB58, bitIndex1) <=> v121(constB57, bitIndex1))) | (~v123(constB58, bitIndex1)) | v121(constB57, bitIndex1)),
% 8.68/6.21 inference(tautology,[status(thm)],[])).
% 8.68/6.21 tff(14686,plain,
% 8.68/6.21 (~v123(constB58, bitIndex1)),
% 8.68/6.21 inference(unit_resolution,[status(thm)],[14685, 14684, 14671])).
% 8.68/6.21 tff(14687,plain,
% 8.68/6.21 ((~(v84(constB58, bitIndex1) <=> v123(constB58, bitIndex1))) | (~v84(constB58, bitIndex1)) | v123(constB58, bitIndex1)),
% 8.68/6.21 inference(tautology,[status(thm)],[])).
% 8.68/6.21 tff(14688,plain,
% 8.68/6.21 (~v84(constB58, bitIndex1)),
% 8.68/6.21 inference(unit_resolution,[status(thm)],[14687, 14686, 14667])).
% 8.68/6.21 tff(14689,plain,
% 8.68/6.21 ((~(v84(constB59, bitIndex1) <=> v84(constB58, bitIndex1))) | (~v84(constB59, bitIndex1)) | v84(constB58, bitIndex1)),
% 8.68/6.21 inference(tautology,[status(thm)],[])).
% 8.68/6.21 tff(14690,plain,
% 8.68/6.21 (~v84(constB59, bitIndex1)),
% 8.68/6.21 inference(unit_resolution,[status(thm)],[14689, 14688, 14663])).
% 8.68/6.21 tff(14691,plain,
% 8.68/6.21 ((~((~v84(constB59, bitIndex2)) | v84(constB59, bitIndex1) | (~v84(constB59, bitIndex0)))) | (~v84(constB59, bitIndex2)) | v84(constB59, bitIndex1) | (~v84(constB59, bitIndex0))),
% 8.68/6.21 inference(tautology,[status(thm)],[])).
% 8.68/6.21 tff(14692,plain,
% 8.68/6.21 (~((~v84(constB59, bitIndex2)) | v84(constB59, bitIndex1) | (~v84(constB59, bitIndex0)))),
% 8.68/6.21 inference(unit_resolution,[status(thm)],[14691, 14690, 14659, 14628])).
% 8.68/6.21 tff(14693,plain,
% 8.68/6.21 ((~(v118(constB59) <=> (~((~v84(constB59, bitIndex2)) | v84(constB59, bitIndex1) | (~v84(constB59, bitIndex0)))))) | v118(constB59) | ((~v84(constB59, bitIndex2)) | v84(constB59, bitIndex1) | (~v84(constB59, bitIndex0)))),
% 8.68/6.21 inference(tautology,[status(thm)],[])).
% 8.68/6.21 tff(14694,plain,
% 8.68/6.21 (v118(constB59)),
% 8.68/6.21 inference(unit_resolution,[status(thm)],[14693, 14692, 7077])).
% 8.68/6.21 tff(14695,plain,
% 8.68/6.21 ((v109(constB59) | v118(constB59)) | (~v118(constB59))),
% 8.68/6.21 inference(tautology,[status(thm)],[])).
% 8.68/6.21 tff(14696,plain,
% 8.68/6.21 (v109(constB59) | v118(constB59)),
% 8.68/6.21 inference(unit_resolution,[status(thm)],[14695, 14694])).
% 8.68/6.21 tff(14697,plain,
% 8.68/6.21 ((~(v108(constB59) <=> (v109(constB59) | v118(constB59)))) | v108(constB59) | (~(v109(constB59) | v118(constB59)))),
% 8.68/6.21 inference(tautology,[status(thm)],[])).
% 8.68/6.21 tff(14698,plain,
% 8.68/6.21 (v108(constB59)),
% 8.68/6.21 inference(unit_resolution,[status(thm)],[14697, 14696, 7070])).
% 8.68/6.21 tff(14699,plain,
% 8.68/6.21 ((v108(constB59) | v119(constB59)) | (~v108(constB59))),
% 8.68/6.21 inference(tautology,[status(thm)],[])).
% 8.68/6.21 tff(14700,plain,
% 8.68/6.21 (v108(constB59) | v119(constB59)),
% 8.68/6.21 inference(unit_resolution,[status(thm)],[14699, 14698])).
% 8.68/6.21 tff(14701,plain,
% 8.68/6.21 ((~(v107(constB59) <=> (v108(constB59) | v119(constB59)))) | v107(constB59) | (~(v108(constB59) | v119(constB59)))),
% 8.68/6.21 inference(tautology,[status(thm)],[])).
% 8.68/6.21 tff(14702,plain,
% 8.68/6.21 (v107(constB59)),
% 8.68/6.21 inference(unit_resolution,[status(thm)],[14701, 14700, 7068])).
% 8.68/6.21 tff(14703,plain,
% 8.68/6.21 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB59)) <=> v105(constB59))),
% 8.68/6.21 inference(quant_inst,[status(thm)],[])).
% 8.68/6.21 tff(14704,plain,
% 8.68/6.21 ((~v120(constB59)) <=> v105(constB59)),
% 8.68/6.21 inference(unit_resolution,[status(thm)],[14703, 9842])).
% 8.68/6.21 tff(14705,plain,
% 8.68/6.21 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB59) <=> v26(constB59))),
% 8.68/6.21 inference(quant_inst,[status(thm)],[])).
% 8.68/6.21 tff(14706,plain,
% 8.68/6.21 (v105(constB59) <=> v26(constB59)),
% 8.68/6.21 inference(unit_resolution,[status(thm)],[14705, 9854])).
% 8.68/6.21 tff(14707,plain,
% 8.68/6.21 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB59))),
% 8.68/6.21 inference(quant_inst,[status(thm)],[])).
% 8.68/6.21 tff(14708,plain,
% 8.68/6.21 (~v26(constB59)),
% 8.68/6.21 inference(unit_resolution,[status(thm)],[14707, 9866])).
% 8.68/6.21 tff(14709,plain,
% 8.68/6.21 ((~(v105(constB59) <=> v26(constB59))) | (~v105(constB59)) | v26(constB59)),
% 8.68/6.21 inference(tautology,[status(thm)],[])).
% 8.68/6.21 tff(14710,plain,
% 8.68/6.21 ((~(v105(constB59) <=> v26(constB59))) | (~v105(constB59))),
% 8.68/6.21 inference(unit_resolution,[status(thm)],[14709, 14708])).
% 8.68/6.21 tff(14711,plain,
% 8.68/6.21 (~v105(constB59)),
% 8.68/6.21 inference(unit_resolution,[status(thm)],[14710, 14706])).
% 8.68/6.21 tff(14712,plain,
% 8.68/6.21 ((~((~v120(constB59)) <=> v105(constB59))) | v120(constB59) | v105(constB59)),
% 8.68/6.21 inference(tautology,[status(thm)],[])).
% 8.68/6.21 tff(14713,plain,
% 8.68/6.21 ((~((~v120(constB59)) <=> v105(constB59))) | v120(constB59)),
% 8.68/6.21 inference(unit_resolution,[status(thm)],[14712, 14711])).
% 8.68/6.21 tff(14714,plain,
% 8.68/6.21 (v120(constB59)),
% 8.68/6.21 inference(unit_resolution,[status(thm)],[14713, 14704])).
% 8.68/6.21 tff(14715,plain,
% 8.68/6.21 ((~((~v107(constB59)) | (~v120(constB59)))) | (~v107(constB59)) | (~v120(constB59))),
% 8.68/6.21 inference(tautology,[status(thm)],[])).
% 8.68/6.21 tff(14716,plain,
% 8.68/6.21 ((~((~v107(constB59)) | (~v120(constB59)))) | (~v107(constB59))),
% 8.68/6.21 inference(unit_resolution,[status(thm)],[14715, 14714])).
% 8.68/6.21 tff(14717,plain,
% 8.68/6.21 (~((~v107(constB59)) | (~v120(constB59)))),
% 8.68/6.21 inference(unit_resolution,[status(thm)],[14716, 14702])).
% 8.68/6.21 tff(14718,plain,
% 8.68/6.21 ((~(v106(constB59) <=> (~((~v107(constB59)) | (~v120(constB59)))))) | v106(constB59) | ((~v107(constB59)) | (~v120(constB59)))),
% 8.68/6.21 inference(tautology,[status(thm)],[])).
% 8.68/6.21 tff(14719,plain,
% 8.68/6.21 (v106(constB59)),
% 8.68/6.21 inference(unit_resolution,[status(thm)],[14718, 14717, 7066])).
% 8.68/6.21 tff(14720,plain,
% 8.68/6.21 ((v105(constB59) | v106(constB59)) | (~v106(constB59))),
% 8.68/6.21 inference(tautology,[status(thm)],[])).
% 8.68/6.21 tff(14721,plain,
% 8.68/6.21 (v105(constB59) | v106(constB59)),
% 8.68/6.21 inference(unit_resolution,[status(thm)],[14720, 14719])).
% 8.68/6.21 tff(14722,plain,
% 8.68/6.21 ((~(v102(constB59) <=> (v105(constB59) | v106(constB59)))) | v102(constB59) | (~(v105(constB59) | v106(constB59)))),
% 8.68/6.21 inference(tautology,[status(thm)],[])).
% 8.68/6.21 tff(14723,plain,
% 8.68/6.21 (v102(constB59)),
% 8.68/6.21 inference(unit_resolution,[status(thm)],[14722, 14721, 7064])).
% 8.68/6.21 tff(14724,plain,
% 8.68/6.21 ((~(v104(constB60) <=> v102(constB59))) | v104(constB60) | (~v102(constB59))),
% 8.68/6.21 inference(tautology,[status(thm)],[])).
% 8.68/6.21 tff(14725,plain,
% 8.68/6.21 (v104(constB60)),
% 8.68/6.21 inference(unit_resolution,[status(thm)],[14724, 14723, 7062])).
% 8.68/6.21 tff(14726,plain,
% 8.68/6.21 ((~((~v104(constB60)) | (~v95(constB60)))) | (~v104(constB60)) | (~v95(constB60))),
% 8.68/6.21 inference(tautology,[status(thm)],[])).
% 8.68/6.21 tff(14727,plain,
% 8.68/6.21 (~((~v104(constB60)) | (~v95(constB60)))),
% 8.68/6.21 inference(unit_resolution,[status(thm)],[14726, 14725, 7058])).
% 8.68/6.21 tff(14728,plain,
% 8.68/6.21 ((~(v94(constB60) <=> (~((~v104(constB60)) | (~v95(constB60)))))) | v94(constB60) | ((~v104(constB60)) | (~v95(constB60)))),
% 8.68/6.21 inference(tautology,[status(thm)],[])).
% 8.68/6.21 tff(14729,plain,
% 8.68/6.21 (v94(constB60)),
% 8.68/6.21 inference(unit_resolution,[status(thm)],[14728, 14727, 7027])).
% 8.68/6.21 tff(14730,plain,
% 8.68/6.21 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB60)) | ![B: $i] : ((~less_3(B)) | (v84(constB60, B) <=> v123(constB60, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB60)) | ![B: $i] : ((~less_3(B)) | (v84(constB60, B) <=> v123(constB60, B))))),
% 8.68/6.21 inference(rewrite,[status(thm)],[])).
% 8.68/6.22 tff(14731,plain,
% 8.68/6.22 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB60)) | ![B: $i] : ((~less_3(B)) | (v84(constB60, B) <=> v123(constB60, B))))),
% 8.68/6.22 inference(quant_inst,[status(thm)],[])).
% 8.68/6.22 tff(14732,plain,
% 8.68/6.22 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB60)) | ![B: $i] : ((~less_3(B)) | (v84(constB60, B) <=> v123(constB60, B)))),
% 8.68/6.22 inference(modus_ponens,[status(thm)],[14731, 14730])).
% 8.68/6.22 tff(14733,plain,
% 8.68/6.22 ((~v94(constB60)) | ![B: $i] : ((~less_3(B)) | (v84(constB60, B) <=> v123(constB60, B)))),
% 8.68/6.22 inference(unit_resolution,[status(thm)],[14732, 9902])).
% 8.68/6.22 tff(14734,plain,
% 8.68/6.22 (![B: $i] : ((~less_3(B)) | (v84(constB60, B) <=> v123(constB60, B)))),
% 8.68/6.22 inference(unit_resolution,[status(thm)],[14733, 14729])).
% 8.68/6.22 tff(14735,plain,
% 8.68/6.22 (((~![B: $i] : ((~less_3(B)) | (v84(constB60, B) <=> v123(constB60, B)))) | ((~less_3(bitIndex2)) | (v84(constB60, bitIndex2) <=> v123(constB60, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB60, B) <=> v123(constB60, B)))) | (~less_3(bitIndex2)) | (v84(constB60, bitIndex2) <=> v123(constB60, bitIndex2)))),
% 8.68/6.22 inference(rewrite,[status(thm)],[])).
% 8.68/6.22 tff(14736,plain,
% 8.68/6.22 ((~![B: $i] : ((~less_3(B)) | (v84(constB60, B) <=> v123(constB60, B)))) | ((~less_3(bitIndex2)) | (v84(constB60, bitIndex2) <=> v123(constB60, bitIndex2)))),
% 8.68/6.22 inference(quant_inst,[status(thm)],[])).
% 8.68/6.22 tff(14737,plain,
% 8.68/6.22 ((~![B: $i] : ((~less_3(B)) | (v84(constB60, B) <=> v123(constB60, B)))) | (~less_3(bitIndex2)) | (v84(constB60, bitIndex2) <=> v123(constB60, bitIndex2))),
% 8.68/6.22 inference(modus_ponens,[status(thm)],[14736, 14735])).
% 8.68/6.22 tff(14738,plain,
% 8.68/6.22 (v84(constB60, bitIndex2) <=> v123(constB60, bitIndex2)),
% 8.68/6.22 inference(unit_resolution,[status(thm)],[14737, 832, 14734])).
% 8.68/6.22 tff(14739,plain,
% 8.68/6.22 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB59, constB60)) | ![B: $i] : ((~less_3(B)) | (v123(constB60, B) <=> v121(constB59, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB59, constB60)) | ![B: $i] : ((~less_3(B)) | (v123(constB60, B) <=> v121(constB59, B))))),
% 8.68/6.22 inference(rewrite,[status(thm)],[])).
% 8.68/6.22 tff(14740,plain,
% 8.68/6.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB59, constB60)) | ![B: $i] : ((~less_3(B)) | (v123(constB60, B) <=> v121(constB59, B))))),
% 8.68/6.22 inference(quant_inst,[status(thm)],[])).
% 8.68/6.22 tff(14741,plain,
% 8.68/6.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB59, constB60)) | ![B: $i] : ((~less_3(B)) | (v123(constB60, B) <=> v121(constB59, B)))),
% 8.68/6.22 inference(modus_ponens,[status(thm)],[14740, 14739])).
% 8.68/6.22 tff(14742,plain,
% 8.68/6.22 (![B: $i] : ((~less_3(B)) | (v123(constB60, B) <=> v121(constB59, B)))),
% 8.68/6.22 inference(unit_resolution,[status(thm)],[14741, 7023, 9924])).
% 8.68/6.22 tff(14743,plain,
% 8.68/6.22 (((~![B: $i] : ((~less_3(B)) | (v123(constB60, B) <=> v121(constB59, B)))) | ((~less_3(bitIndex2)) | (v123(constB60, bitIndex2) <=> v121(constB59, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB60, B) <=> v121(constB59, B)))) | (~less_3(bitIndex2)) | (v123(constB60, bitIndex2) <=> v121(constB59, bitIndex2)))),
% 8.68/6.22 inference(rewrite,[status(thm)],[])).
% 8.68/6.22 tff(14744,plain,
% 8.68/6.22 ((~![B: $i] : ((~less_3(B)) | (v123(constB60, B) <=> v121(constB59, B)))) | ((~less_3(bitIndex2)) | (v123(constB60, bitIndex2) <=> v121(constB59, bitIndex2)))),
% 8.68/6.22 inference(quant_inst,[status(thm)],[])).
% 8.68/6.22 tff(14745,plain,
% 8.68/6.22 ((~![B: $i] : ((~less_3(B)) | (v123(constB60, B) <=> v121(constB59, B)))) | (~less_3(bitIndex2)) | (v123(constB60, bitIndex2) <=> v121(constB59, bitIndex2))),
% 8.68/6.22 inference(modus_ponens,[status(thm)],[14744, 14743])).
% 8.68/6.22 tff(14746,plain,
% 8.68/6.22 (v123(constB60, bitIndex2) <=> v121(constB59, bitIndex2)),
% 8.68/6.22 inference(unit_resolution,[status(thm)],[14745, 832, 14742])).
% 8.68/6.22 tff(14747,plain,
% 8.68/6.22 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB59) | ![B: $i] : ((~less_3(B)) | (v121(constB59, B) <=> v124(constB59, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB59) | ![B: $i] : ((~less_3(B)) | (v121(constB59, B) <=> v124(constB59, B))))),
% 8.68/6.22 inference(rewrite,[status(thm)],[])).
% 8.68/6.22 tff(14748,plain,
% 8.68/6.22 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB59) | ![B: $i] : ((~less_3(B)) | (v121(constB59, B) <=> v124(constB59, B))))),
% 8.68/6.22 inference(quant_inst,[status(thm)],[])).
% 8.68/6.22 tff(14749,plain,
% 8.68/6.22 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB59) | ![B: $i] : ((~less_3(B)) | (v121(constB59, B) <=> v124(constB59, B)))),
% 8.68/6.22 inference(modus_ponens,[status(thm)],[14748, 14747])).
% 8.68/6.22 tff(14750,plain,
% 8.68/6.22 (![B: $i] : ((~less_3(B)) | (v121(constB59, B) <=> v124(constB59, B)))),
% 8.68/6.22 inference(unit_resolution,[status(thm)],[14749, 9945, 14711])).
% 8.68/6.22 tff(14751,plain,
% 8.68/6.22 (((~![B: $i] : ((~less_3(B)) | (v121(constB59, B) <=> v124(constB59, B)))) | ((~less_3(bitIndex2)) | (v121(constB59, bitIndex2) <=> v124(constB59, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB59, B) <=> v124(constB59, B)))) | (~less_3(bitIndex2)) | (v121(constB59, bitIndex2) <=> v124(constB59, bitIndex2)))),
% 8.68/6.22 inference(rewrite,[status(thm)],[])).
% 8.68/6.22 tff(14752,plain,
% 8.68/6.22 ((~![B: $i] : ((~less_3(B)) | (v121(constB59, B) <=> v124(constB59, B)))) | ((~less_3(bitIndex2)) | (v121(constB59, bitIndex2) <=> v124(constB59, bitIndex2)))),
% 8.68/6.22 inference(quant_inst,[status(thm)],[])).
% 8.68/6.22 tff(14753,plain,
% 8.68/6.22 ((~![B: $i] : ((~less_3(B)) | (v121(constB59, B) <=> v124(constB59, B)))) | (~less_3(bitIndex2)) | (v121(constB59, bitIndex2) <=> v124(constB59, bitIndex2))),
% 8.68/6.22 inference(modus_ponens,[status(thm)],[14752, 14751])).
% 8.68/6.22 tff(14754,plain,
% 8.68/6.22 (v121(constB59, bitIndex2) <=> v124(constB59, bitIndex2)),
% 8.68/6.22 inference(unit_resolution,[status(thm)],[14753, 832, 14750])).
% 8.68/6.22 tff(14755,plain,
% 8.68/6.22 (((~![VarCurr: $i] : ((~v118(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b110(B))))) | ((~v118(constB59)) | ![B: $i] : ((~less_3(B)) | (v124(constB59, B) <=> b110(B))))) <=> ((~![VarCurr: $i] : ((~v118(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b110(B))))) | (~v118(constB59)) | ![B: $i] : ((~less_3(B)) | (v124(constB59, B) <=> b110(B))))),
% 8.68/6.22 inference(rewrite,[status(thm)],[])).
% 8.68/6.22 tff(14756,plain,
% 8.68/6.22 ((~![VarCurr: $i] : ((~v118(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b110(B))))) | ((~v118(constB59)) | ![B: $i] : ((~less_3(B)) | (v124(constB59, B) <=> b110(B))))),
% 8.68/6.22 inference(quant_inst,[status(thm)],[])).
% 8.68/6.22 tff(14757,plain,
% 8.68/6.22 ((~![VarCurr: $i] : ((~v118(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b110(B))))) | (~v118(constB59)) | ![B: $i] : ((~less_3(B)) | (v124(constB59, B) <=> b110(B)))),
% 8.68/6.22 inference(modus_ponens,[status(thm)],[14756, 14755])).
% 8.68/6.22 tff(14758,plain,
% 8.68/6.22 ((~v118(constB59)) | ![B: $i] : ((~less_3(B)) | (v124(constB59, B) <=> b110(B)))),
% 8.68/6.22 inference(unit_resolution,[status(thm)],[14757, 10845])).
% 8.68/6.22 tff(14759,plain,
% 8.68/6.22 (![B: $i] : ((~less_3(B)) | (v124(constB59, B) <=> b110(B)))),
% 8.68/6.22 inference(unit_resolution,[status(thm)],[14758, 14694])).
% 8.68/6.22 tff(14760,plain,
% 8.68/6.22 (((~![B: $i] : ((~less_3(B)) | (v124(constB59, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v124(constB59, bitIndex2) <=> b110(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB59, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v124(constB59, bitIndex2) <=> b110(bitIndex2)))),
% 8.68/6.22 inference(rewrite,[status(thm)],[])).
% 8.68/6.22 tff(14761,plain,
% 8.68/6.22 ((~![B: $i] : ((~less_3(B)) | (v124(constB59, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v124(constB59, bitIndex2) <=> b110(bitIndex2)))),
% 8.68/6.22 inference(quant_inst,[status(thm)],[])).
% 8.68/6.22 tff(14762,plain,
% 8.68/6.22 ((~![B: $i] : ((~less_3(B)) | (v124(constB59, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v124(constB59, bitIndex2) <=> b110(bitIndex2))),
% 8.68/6.22 inference(modus_ponens,[status(thm)],[14761, 14760])).
% 8.68/6.22 tff(14763,plain,
% 8.68/6.22 (v124(constB59, bitIndex2) <=> b110(bitIndex2)),
% 8.68/6.22 inference(unit_resolution,[status(thm)],[14762, 832, 14759])).
% 8.68/6.22 tff(14764,plain,
% 8.68/6.22 ((~(v124(constB59, bitIndex2) <=> b110(bitIndex2))) | v124(constB59, bitIndex2) | (~b110(bitIndex2))),
% 8.68/6.22 inference(tautology,[status(thm)],[])).
% 8.68/6.22 tff(14765,plain,
% 8.68/6.22 ((~(v124(constB59, bitIndex2) <=> b110(bitIndex2))) | v124(constB59, bitIndex2)),
% 8.68/6.22 inference(unit_resolution,[status(thm)],[14764, 10857])).
% 8.68/6.22 tff(14766,plain,
% 8.68/6.22 (v124(constB59, bitIndex2)),
% 8.68/6.22 inference(unit_resolution,[status(thm)],[14765, 14763])).
% 8.68/6.22 tff(14767,plain,
% 8.68/6.22 ((~(v121(constB59, bitIndex2) <=> v124(constB59, bitIndex2))) | v121(constB59, bitIndex2) | (~v124(constB59, bitIndex2))),
% 8.68/6.22 inference(tautology,[status(thm)],[])).
% 8.68/6.22 tff(14768,plain,
% 8.68/6.22 (v121(constB59, bitIndex2)),
% 8.68/6.22 inference(unit_resolution,[status(thm)],[14767, 14766, 14754])).
% 8.68/6.22 tff(14769,plain,
% 8.68/6.22 ((~(v123(constB60, bitIndex2) <=> v121(constB59, bitIndex2))) | v123(constB60, bitIndex2) | (~v121(constB59, bitIndex2))),
% 8.68/6.22 inference(tautology,[status(thm)],[])).
% 8.68/6.22 tff(14770,plain,
% 8.68/6.22 (v123(constB60, bitIndex2)),
% 8.68/6.22 inference(unit_resolution,[status(thm)],[14769, 14768, 14746])).
% 8.68/6.22 tff(14771,plain,
% 8.68/6.22 ((~(v84(constB60, bitIndex2) <=> v123(constB60, bitIndex2))) | v84(constB60, bitIndex2) | (~v123(constB60, bitIndex2))),
% 8.68/6.22 inference(tautology,[status(thm)],[])).
% 8.68/6.22 tff(14772,plain,
% 8.68/6.22 (v84(constB60, bitIndex2)),
% 8.68/6.22 inference(unit_resolution,[status(thm)],[14771, 14770, 14738])).
% 8.68/6.22 tff(14773,plain,
% 8.68/6.22 ((~(v84(constB61, bitIndex2) <=> v84(constB60, bitIndex2))) | v84(constB61, bitIndex2) | (~v84(constB60, bitIndex2))),
% 8.68/6.22 inference(tautology,[status(thm)],[])).
% 8.68/6.22 tff(14774,plain,
% 8.68/6.22 (v84(constB61, bitIndex2)),
% 8.68/6.22 inference(unit_resolution,[status(thm)],[14773, 14772, 7020])).
% 8.68/6.22 tff(14775,plain,
% 8.68/6.22 (((~![B: $i] : ((~less_3(B)) | (v84(constB61, B) <=> v84(constB60, B)))) | ((~less_3(bitIndex0)) | (v84(constB61, bitIndex0) <=> v84(constB60, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB61, B) <=> v84(constB60, B)))) | (~less_3(bitIndex0)) | (v84(constB61, bitIndex0) <=> v84(constB60, bitIndex0)))),
% 8.68/6.22 inference(rewrite,[status(thm)],[])).
% 8.68/6.22 tff(14776,plain,
% 8.68/6.22 ((~![B: $i] : ((~less_3(B)) | (v84(constB61, B) <=> v84(constB60, B)))) | ((~less_3(bitIndex0)) | (v84(constB61, bitIndex0) <=> v84(constB60, bitIndex0)))),
% 8.68/6.22 inference(quant_inst,[status(thm)],[])).
% 8.68/6.22 tff(14777,plain,
% 8.68/6.22 ((~![B: $i] : ((~less_3(B)) | (v84(constB61, B) <=> v84(constB60, B)))) | (~less_3(bitIndex0)) | (v84(constB61, bitIndex0) <=> v84(constB60, bitIndex0))),
% 8.68/6.22 inference(modus_ponens,[status(thm)],[14776, 14775])).
% 8.68/6.22 tff(14778,plain,
% 8.68/6.22 (v84(constB61, bitIndex0) <=> v84(constB60, bitIndex0)),
% 8.68/6.22 inference(unit_resolution,[status(thm)],[14777, 9772, 7016])).
% 8.68/6.22 tff(14779,plain,
% 8.68/6.22 (((~![B: $i] : ((~less_3(B)) | (v84(constB60, B) <=> v123(constB60, B)))) | ((~less_3(bitIndex0)) | (v84(constB60, bitIndex0) <=> v123(constB60, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB60, B) <=> v123(constB60, B)))) | (~less_3(bitIndex0)) | (v84(constB60, bitIndex0) <=> v123(constB60, bitIndex0)))),
% 8.68/6.22 inference(rewrite,[status(thm)],[])).
% 8.68/6.22 tff(14780,plain,
% 8.68/6.22 ((~![B: $i] : ((~less_3(B)) | (v84(constB60, B) <=> v123(constB60, B)))) | ((~less_3(bitIndex0)) | (v84(constB60, bitIndex0) <=> v123(constB60, bitIndex0)))),
% 8.68/6.22 inference(quant_inst,[status(thm)],[])).
% 8.68/6.22 tff(14781,plain,
% 8.68/6.22 ((~![B: $i] : ((~less_3(B)) | (v84(constB60, B) <=> v123(constB60, B)))) | (~less_3(bitIndex0)) | (v84(constB60, bitIndex0) <=> v123(constB60, bitIndex0))),
% 8.68/6.22 inference(modus_ponens,[status(thm)],[14780, 14779])).
% 8.68/6.22 tff(14782,plain,
% 8.68/6.22 (v84(constB60, bitIndex0) <=> v123(constB60, bitIndex0)),
% 8.68/6.22 inference(unit_resolution,[status(thm)],[14781, 9772, 14734])).
% 8.68/6.22 tff(14783,plain,
% 8.68/6.22 (((~![B: $i] : ((~less_3(B)) | (v123(constB60, B) <=> v121(constB59, B)))) | ((~less_3(bitIndex0)) | (v123(constB60, bitIndex0) <=> v121(constB59, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB60, B) <=> v121(constB59, B)))) | (~less_3(bitIndex0)) | (v123(constB60, bitIndex0) <=> v121(constB59, bitIndex0)))),
% 8.68/6.22 inference(rewrite,[status(thm)],[])).
% 8.68/6.22 tff(14784,plain,
% 8.68/6.22 ((~![B: $i] : ((~less_3(B)) | (v123(constB60, B) <=> v121(constB59, B)))) | ((~less_3(bitIndex0)) | (v123(constB60, bitIndex0) <=> v121(constB59, bitIndex0)))),
% 8.68/6.22 inference(quant_inst,[status(thm)],[])).
% 8.68/6.22 tff(14785,plain,
% 8.68/6.22 ((~![B: $i] : ((~less_3(B)) | (v123(constB60, B) <=> v121(constB59, B)))) | (~less_3(bitIndex0)) | (v123(constB60, bitIndex0) <=> v121(constB59, bitIndex0))),
% 8.68/6.22 inference(modus_ponens,[status(thm)],[14784, 14783])).
% 8.68/6.22 tff(14786,plain,
% 8.68/6.22 (v123(constB60, bitIndex0) <=> v121(constB59, bitIndex0)),
% 8.68/6.22 inference(unit_resolution,[status(thm)],[14785, 9772, 14742])).
% 8.68/6.22 tff(14787,plain,
% 8.68/6.22 (((~![B: $i] : ((~less_3(B)) | (v121(constB59, B) <=> v124(constB59, B)))) | ((~less_3(bitIndex0)) | (v121(constB59, bitIndex0) <=> v124(constB59, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB59, B) <=> v124(constB59, B)))) | (~less_3(bitIndex0)) | (v121(constB59, bitIndex0) <=> v124(constB59, bitIndex0)))),
% 8.68/6.22 inference(rewrite,[status(thm)],[])).
% 8.68/6.22 tff(14788,plain,
% 8.68/6.22 ((~![B: $i] : ((~less_3(B)) | (v121(constB59, B) <=> v124(constB59, B)))) | ((~less_3(bitIndex0)) | (v121(constB59, bitIndex0) <=> v124(constB59, bitIndex0)))),
% 8.68/6.22 inference(quant_inst,[status(thm)],[])).
% 8.68/6.22 tff(14789,plain,
% 8.68/6.22 ((~![B: $i] : ((~less_3(B)) | (v121(constB59, B) <=> v124(constB59, B)))) | (~less_3(bitIndex0)) | (v121(constB59, bitIndex0) <=> v124(constB59, bitIndex0))),
% 8.68/6.22 inference(modus_ponens,[status(thm)],[14788, 14787])).
% 8.68/6.22 tff(14790,plain,
% 8.68/6.22 (v121(constB59, bitIndex0) <=> v124(constB59, bitIndex0)),
% 8.68/6.22 inference(unit_resolution,[status(thm)],[14789, 9772, 14750])).
% 8.68/6.22 tff(14791,plain,
% 8.68/6.22 (((~![B: $i] : ((~less_3(B)) | (v124(constB59, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v124(constB59, bitIndex0) <=> b110(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB59, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v124(constB59, bitIndex0) <=> b110(bitIndex0)))),
% 8.68/6.22 inference(rewrite,[status(thm)],[])).
% 8.68/6.22 tff(14792,plain,
% 8.68/6.22 ((~![B: $i] : ((~less_3(B)) | (v124(constB59, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v124(constB59, bitIndex0) <=> b110(bitIndex0)))),
% 8.68/6.22 inference(quant_inst,[status(thm)],[])).
% 8.68/6.22 tff(14793,plain,
% 8.68/6.22 ((~![B: $i] : ((~less_3(B)) | (v124(constB59, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v124(constB59, bitIndex0) <=> b110(bitIndex0))),
% 8.68/6.22 inference(modus_ponens,[status(thm)],[14792, 14791])).
% 8.68/6.22 tff(14794,plain,
% 8.68/6.22 (v124(constB59, bitIndex0) <=> b110(bitIndex0)),
% 8.68/6.22 inference(unit_resolution,[status(thm)],[14793, 9772, 14759])).
% 8.68/6.22 tff(14795,plain,
% 8.68/6.22 ((~(v124(constB59, bitIndex0) <=> b110(bitIndex0))) | (~v124(constB59, bitIndex0)) | b110(bitIndex0)),
% 8.68/6.22 inference(tautology,[status(thm)],[])).
% 8.68/6.22 tff(14796,plain,
% 8.68/6.22 ((~(v124(constB59, bitIndex0) <=> b110(bitIndex0))) | (~v124(constB59, bitIndex0))),
% 8.68/6.22 inference(unit_resolution,[status(thm)],[14795, 10891])).
% 8.68/6.22 tff(14797,plain,
% 8.68/6.22 (~v124(constB59, bitIndex0)),
% 8.68/6.22 inference(unit_resolution,[status(thm)],[14796, 14794])).
% 8.68/6.22 tff(14798,plain,
% 8.68/6.22 ((~(v121(constB59, bitIndex0) <=> v124(constB59, bitIndex0))) | (~v121(constB59, bitIndex0)) | v124(constB59, bitIndex0)),
% 8.68/6.22 inference(tautology,[status(thm)],[])).
% 8.68/6.22 tff(14799,plain,
% 8.68/6.22 (~v121(constB59, bitIndex0)),
% 8.68/6.22 inference(unit_resolution,[status(thm)],[14798, 14797, 14790])).
% 8.68/6.22 tff(14800,plain,
% 8.68/6.22 ((~(v123(constB60, bitIndex0) <=> v121(constB59, bitIndex0))) | (~v123(constB60, bitIndex0)) | v121(constB59, bitIndex0)),
% 8.68/6.22 inference(tautology,[status(thm)],[])).
% 8.68/6.22 tff(14801,plain,
% 8.68/6.22 (~v123(constB60, bitIndex0)),
% 8.68/6.22 inference(unit_resolution,[status(thm)],[14800, 14799, 14786])).
% 8.68/6.22 tff(14802,plain,
% 8.68/6.22 ((~(v84(constB60, bitIndex0) <=> v123(constB60, bitIndex0))) | (~v84(constB60, bitIndex0)) | v123(constB60, bitIndex0)),
% 8.68/6.22 inference(tautology,[status(thm)],[])).
% 8.71/6.22 tff(14803,plain,
% 8.71/6.22 (~v84(constB60, bitIndex0)),
% 8.71/6.22 inference(unit_resolution,[status(thm)],[14802, 14801, 14782])).
% 8.71/6.22 tff(14804,plain,
% 8.71/6.22 ((~(v84(constB61, bitIndex0) <=> v84(constB60, bitIndex0))) | (~v84(constB61, bitIndex0)) | v84(constB60, bitIndex0)),
% 8.71/6.22 inference(tautology,[status(thm)],[])).
% 8.71/6.22 tff(14805,plain,
% 8.71/6.22 (~v84(constB61, bitIndex0)),
% 8.71/6.22 inference(unit_resolution,[status(thm)],[14804, 14803, 14778])).
% 8.71/6.22 tff(14806,plain,
% 8.71/6.22 (((~![B: $i] : ((~less_3(B)) | (v84(constB61, B) <=> v84(constB60, B)))) | ((~less_3(bitIndex1)) | (v84(constB61, bitIndex1) <=> v84(constB60, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB61, B) <=> v84(constB60, B)))) | (~less_3(bitIndex1)) | (v84(constB61, bitIndex1) <=> v84(constB60, bitIndex1)))),
% 8.71/6.22 inference(rewrite,[status(thm)],[])).
% 8.71/6.22 tff(14807,plain,
% 8.71/6.22 ((~![B: $i] : ((~less_3(B)) | (v84(constB61, B) <=> v84(constB60, B)))) | ((~less_3(bitIndex1)) | (v84(constB61, bitIndex1) <=> v84(constB60, bitIndex1)))),
% 8.71/6.22 inference(quant_inst,[status(thm)],[])).
% 8.71/6.22 tff(14808,plain,
% 8.71/6.22 ((~![B: $i] : ((~less_3(B)) | (v84(constB61, B) <=> v84(constB60, B)))) | (~less_3(bitIndex1)) | (v84(constB61, bitIndex1) <=> v84(constB60, bitIndex1))),
% 8.71/6.22 inference(modus_ponens,[status(thm)],[14807, 14806])).
% 8.71/6.22 tff(14809,plain,
% 8.71/6.22 (v84(constB61, bitIndex1) <=> v84(constB60, bitIndex1)),
% 8.71/6.22 inference(unit_resolution,[status(thm)],[14808, 9785, 7016])).
% 8.71/6.22 tff(14810,plain,
% 8.71/6.22 (((~![B: $i] : ((~less_3(B)) | (v84(constB60, B) <=> v123(constB60, B)))) | ((~less_3(bitIndex1)) | (v84(constB60, bitIndex1) <=> v123(constB60, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB60, B) <=> v123(constB60, B)))) | (~less_3(bitIndex1)) | (v84(constB60, bitIndex1) <=> v123(constB60, bitIndex1)))),
% 8.71/6.22 inference(rewrite,[status(thm)],[])).
% 8.71/6.22 tff(14811,plain,
% 8.71/6.22 ((~![B: $i] : ((~less_3(B)) | (v84(constB60, B) <=> v123(constB60, B)))) | ((~less_3(bitIndex1)) | (v84(constB60, bitIndex1) <=> v123(constB60, bitIndex1)))),
% 8.71/6.22 inference(quant_inst,[status(thm)],[])).
% 8.71/6.22 tff(14812,plain,
% 8.71/6.22 ((~![B: $i] : ((~less_3(B)) | (v84(constB60, B) <=> v123(constB60, B)))) | (~less_3(bitIndex1)) | (v84(constB60, bitIndex1) <=> v123(constB60, bitIndex1))),
% 8.71/6.22 inference(modus_ponens,[status(thm)],[14811, 14810])).
% 8.71/6.22 tff(14813,plain,
% 8.71/6.22 (v84(constB60, bitIndex1) <=> v123(constB60, bitIndex1)),
% 8.71/6.22 inference(unit_resolution,[status(thm)],[14812, 9785, 14734])).
% 8.71/6.22 tff(14814,plain,
% 8.71/6.22 (((~![B: $i] : ((~less_3(B)) | (v123(constB60, B) <=> v121(constB59, B)))) | ((~less_3(bitIndex1)) | (v123(constB60, bitIndex1) <=> v121(constB59, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB60, B) <=> v121(constB59, B)))) | (~less_3(bitIndex1)) | (v123(constB60, bitIndex1) <=> v121(constB59, bitIndex1)))),
% 8.71/6.22 inference(rewrite,[status(thm)],[])).
% 8.71/6.22 tff(14815,plain,
% 8.71/6.22 ((~![B: $i] : ((~less_3(B)) | (v123(constB60, B) <=> v121(constB59, B)))) | ((~less_3(bitIndex1)) | (v123(constB60, bitIndex1) <=> v121(constB59, bitIndex1)))),
% 8.71/6.22 inference(quant_inst,[status(thm)],[])).
% 8.71/6.22 tff(14816,plain,
% 8.71/6.22 ((~![B: $i] : ((~less_3(B)) | (v123(constB60, B) <=> v121(constB59, B)))) | (~less_3(bitIndex1)) | (v123(constB60, bitIndex1) <=> v121(constB59, bitIndex1))),
% 8.71/6.22 inference(modus_ponens,[status(thm)],[14815, 14814])).
% 8.71/6.22 tff(14817,plain,
% 8.71/6.22 (v123(constB60, bitIndex1) <=> v121(constB59, bitIndex1)),
% 8.71/6.22 inference(unit_resolution,[status(thm)],[14816, 9785, 14742])).
% 8.71/6.22 tff(14818,plain,
% 8.71/6.22 (((~![B: $i] : ((~less_3(B)) | (v121(constB59, B) <=> v124(constB59, B)))) | ((~less_3(bitIndex1)) | (v121(constB59, bitIndex1) <=> v124(constB59, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB59, B) <=> v124(constB59, B)))) | (~less_3(bitIndex1)) | (v121(constB59, bitIndex1) <=> v124(constB59, bitIndex1)))),
% 8.71/6.22 inference(rewrite,[status(thm)],[])).
% 8.71/6.22 tff(14819,plain,
% 8.71/6.22 ((~![B: $i] : ((~less_3(B)) | (v121(constB59, B) <=> v124(constB59, B)))) | ((~less_3(bitIndex1)) | (v121(constB59, bitIndex1) <=> v124(constB59, bitIndex1)))),
% 8.71/6.22 inference(quant_inst,[status(thm)],[])).
% 8.71/6.22 tff(14820,plain,
% 8.71/6.22 ((~![B: $i] : ((~less_3(B)) | (v121(constB59, B) <=> v124(constB59, B)))) | (~less_3(bitIndex1)) | (v121(constB59, bitIndex1) <=> v124(constB59, bitIndex1))),
% 8.71/6.22 inference(modus_ponens,[status(thm)],[14819, 14818])).
% 8.71/6.22 tff(14821,plain,
% 8.71/6.22 (v121(constB59, bitIndex1) <=> v124(constB59, bitIndex1)),
% 8.71/6.22 inference(unit_resolution,[status(thm)],[14820, 9785, 14750])).
% 8.71/6.22 tff(14822,plain,
% 8.71/6.22 (((~![B: $i] : ((~less_3(B)) | (v124(constB59, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v124(constB59, bitIndex1) <=> b110(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB59, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v124(constB59, bitIndex1) <=> b110(bitIndex1)))),
% 8.71/6.22 inference(rewrite,[status(thm)],[])).
% 8.71/6.22 tff(14823,plain,
% 8.71/6.22 ((~![B: $i] : ((~less_3(B)) | (v124(constB59, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v124(constB59, bitIndex1) <=> b110(bitIndex1)))),
% 8.71/6.22 inference(quant_inst,[status(thm)],[])).
% 8.71/6.22 tff(14824,plain,
% 8.71/6.22 ((~![B: $i] : ((~less_3(B)) | (v124(constB59, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v124(constB59, bitIndex1) <=> b110(bitIndex1))),
% 8.71/6.22 inference(modus_ponens,[status(thm)],[14823, 14822])).
% 8.71/6.22 tff(14825,plain,
% 8.71/6.22 (v124(constB59, bitIndex1) <=> b110(bitIndex1)),
% 8.71/6.22 inference(unit_resolution,[status(thm)],[14824, 9785, 14759])).
% 8.71/6.22 tff(14826,plain,
% 8.71/6.22 ((~(v124(constB59, bitIndex1) <=> b110(bitIndex1))) | v124(constB59, bitIndex1) | (~b110(bitIndex1))),
% 8.71/6.22 inference(tautology,[status(thm)],[])).
% 8.71/6.22 tff(14827,plain,
% 8.71/6.22 ((~(v124(constB59, bitIndex1) <=> b110(bitIndex1))) | v124(constB59, bitIndex1)),
% 8.71/6.22 inference(unit_resolution,[status(thm)],[14826, 10925])).
% 8.71/6.22 tff(14828,plain,
% 8.71/6.22 (v124(constB59, bitIndex1)),
% 8.71/6.22 inference(unit_resolution,[status(thm)],[14827, 14825])).
% 8.71/6.22 tff(14829,plain,
% 8.71/6.22 ((~(v121(constB59, bitIndex1) <=> v124(constB59, bitIndex1))) | v121(constB59, bitIndex1) | (~v124(constB59, bitIndex1))),
% 8.71/6.22 inference(tautology,[status(thm)],[])).
% 8.71/6.22 tff(14830,plain,
% 8.71/6.22 (v121(constB59, bitIndex1)),
% 8.71/6.22 inference(unit_resolution,[status(thm)],[14829, 14828, 14821])).
% 8.71/6.22 tff(14831,plain,
% 8.71/6.22 ((~(v123(constB60, bitIndex1) <=> v121(constB59, bitIndex1))) | v123(constB60, bitIndex1) | (~v121(constB59, bitIndex1))),
% 8.71/6.22 inference(tautology,[status(thm)],[])).
% 8.71/6.22 tff(14832,plain,
% 8.71/6.22 (v123(constB60, bitIndex1)),
% 8.71/6.22 inference(unit_resolution,[status(thm)],[14831, 14830, 14817])).
% 8.71/6.22 tff(14833,plain,
% 8.71/6.22 ((~(v84(constB60, bitIndex1) <=> v123(constB60, bitIndex1))) | v84(constB60, bitIndex1) | (~v123(constB60, bitIndex1))),
% 8.71/6.22 inference(tautology,[status(thm)],[])).
% 8.71/6.22 tff(14834,plain,
% 8.71/6.22 (v84(constB60, bitIndex1)),
% 8.71/6.22 inference(unit_resolution,[status(thm)],[14833, 14832, 14813])).
% 8.71/6.22 tff(14835,plain,
% 8.71/6.22 ((~(v84(constB61, bitIndex1) <=> v84(constB60, bitIndex1))) | v84(constB61, bitIndex1) | (~v84(constB60, bitIndex1))),
% 8.71/6.22 inference(tautology,[status(thm)],[])).
% 8.71/6.22 tff(14836,plain,
% 8.71/6.22 (v84(constB61, bitIndex1)),
% 8.71/6.22 inference(unit_resolution,[status(thm)],[14835, 14834, 14809])).
% 8.71/6.22 tff(14837,plain,
% 8.71/6.22 ((~((~v84(constB61, bitIndex2)) | (~v84(constB61, bitIndex1)) | v84(constB61, bitIndex0))) | (~v84(constB61, bitIndex2)) | (~v84(constB61, bitIndex1)) | v84(constB61, bitIndex0)),
% 8.71/6.22 inference(tautology,[status(thm)],[])).
% 8.71/6.22 tff(14838,plain,
% 8.71/6.22 (~((~v84(constB61, bitIndex2)) | (~v84(constB61, bitIndex1)) | v84(constB61, bitIndex0))),
% 8.71/6.22 inference(unit_resolution,[status(thm)],[14837, 14836, 14805, 14774])).
% 8.71/6.22 tff(14839,plain,
% 8.71/6.22 ((~(v119(constB61) <=> (~((~v84(constB61, bitIndex2)) | (~v84(constB61, bitIndex1)) | v84(constB61, bitIndex0))))) | v119(constB61) | ((~v84(constB61, bitIndex2)) | (~v84(constB61, bitIndex1)) | v84(constB61, bitIndex0))),
% 8.71/6.22 inference(tautology,[status(thm)],[])).
% 8.71/6.22 tff(14840,plain,
% 8.71/6.22 (v119(constB61)),
% 8.71/6.22 inference(unit_resolution,[status(thm)],[14839, 14838, 6988])).
% 8.71/6.22 tff(14841,plain,
% 8.71/6.22 ((v108(constB61) | v119(constB61)) | (~v119(constB61))),
% 8.71/6.22 inference(tautology,[status(thm)],[])).
% 8.71/6.22 tff(14842,plain,
% 8.71/6.22 (v108(constB61) | v119(constB61)),
% 8.71/6.22 inference(unit_resolution,[status(thm)],[14841, 14840])).
% 8.71/6.22 tff(14843,plain,
% 8.71/6.22 ((~(v107(constB61) <=> (v108(constB61) | v119(constB61)))) | v107(constB61) | (~(v108(constB61) | v119(constB61)))),
% 8.71/6.22 inference(tautology,[status(thm)],[])).
% 8.71/6.22 tff(14844,plain,
% 8.71/6.22 (v107(constB61)),
% 8.71/6.22 inference(unit_resolution,[status(thm)],[14843, 14842, 6981])).
% 8.71/6.22 tff(14845,plain,
% 8.71/6.22 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB61)) <=> v105(constB61))),
% 8.71/6.22 inference(quant_inst,[status(thm)],[])).
% 8.71/6.22 tff(14846,plain,
% 8.71/6.22 ((~v120(constB61)) <=> v105(constB61)),
% 8.71/6.22 inference(unit_resolution,[status(thm)],[14845, 9842])).
% 8.71/6.22 tff(14847,plain,
% 8.71/6.22 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB61) <=> v26(constB61))),
% 8.71/6.22 inference(quant_inst,[status(thm)],[])).
% 8.71/6.22 tff(14848,plain,
% 8.71/6.22 (v105(constB61) <=> v26(constB61)),
% 8.71/6.22 inference(unit_resolution,[status(thm)],[14847, 9854])).
% 8.71/6.22 tff(14849,plain,
% 8.71/6.22 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB61))),
% 8.71/6.22 inference(quant_inst,[status(thm)],[])).
% 8.71/6.22 tff(14850,plain,
% 8.71/6.22 (~v26(constB61)),
% 8.71/6.22 inference(unit_resolution,[status(thm)],[14849, 9866])).
% 8.71/6.22 tff(14851,plain,
% 8.71/6.22 ((~(v105(constB61) <=> v26(constB61))) | (~v105(constB61)) | v26(constB61)),
% 8.71/6.22 inference(tautology,[status(thm)],[])).
% 8.71/6.22 tff(14852,plain,
% 8.71/6.22 ((~(v105(constB61) <=> v26(constB61))) | (~v105(constB61))),
% 8.71/6.22 inference(unit_resolution,[status(thm)],[14851, 14850])).
% 8.71/6.22 tff(14853,plain,
% 8.71/6.22 (~v105(constB61)),
% 8.71/6.22 inference(unit_resolution,[status(thm)],[14852, 14848])).
% 8.71/6.22 tff(14854,plain,
% 8.71/6.22 ((~((~v120(constB61)) <=> v105(constB61))) | v120(constB61) | v105(constB61)),
% 8.71/6.22 inference(tautology,[status(thm)],[])).
% 8.71/6.22 tff(14855,plain,
% 8.71/6.22 ((~((~v120(constB61)) <=> v105(constB61))) | v120(constB61)),
% 8.71/6.22 inference(unit_resolution,[status(thm)],[14854, 14853])).
% 8.71/6.22 tff(14856,plain,
% 8.71/6.22 (v120(constB61)),
% 8.71/6.22 inference(unit_resolution,[status(thm)],[14855, 14846])).
% 8.71/6.22 tff(14857,plain,
% 8.71/6.22 ((~((~v107(constB61)) | (~v120(constB61)))) | (~v107(constB61)) | (~v120(constB61))),
% 8.71/6.22 inference(tautology,[status(thm)],[])).
% 8.71/6.22 tff(14858,plain,
% 8.71/6.22 ((~((~v107(constB61)) | (~v120(constB61)))) | (~v107(constB61))),
% 8.71/6.22 inference(unit_resolution,[status(thm)],[14857, 14856])).
% 8.71/6.22 tff(14859,plain,
% 8.71/6.22 (~((~v107(constB61)) | (~v120(constB61)))),
% 8.71/6.22 inference(unit_resolution,[status(thm)],[14858, 14844])).
% 8.71/6.22 tff(14860,plain,
% 8.71/6.22 ((~(v106(constB61) <=> (~((~v107(constB61)) | (~v120(constB61)))))) | v106(constB61) | ((~v107(constB61)) | (~v120(constB61)))),
% 8.71/6.22 inference(tautology,[status(thm)],[])).
% 8.71/6.22 tff(14861,plain,
% 8.71/6.22 (v106(constB61)),
% 8.71/6.22 inference(unit_resolution,[status(thm)],[14860, 14859, 6979])).
% 8.71/6.22 tff(14862,plain,
% 8.71/6.22 ((v105(constB61) | v106(constB61)) | (~v106(constB61))),
% 8.71/6.22 inference(tautology,[status(thm)],[])).
% 8.71/6.22 tff(14863,plain,
% 8.71/6.22 (v105(constB61) | v106(constB61)),
% 8.71/6.22 inference(unit_resolution,[status(thm)],[14862, 14861])).
% 8.71/6.22 tff(14864,plain,
% 8.71/6.22 ((~(v102(constB61) <=> (v105(constB61) | v106(constB61)))) | v102(constB61) | (~(v105(constB61) | v106(constB61)))),
% 8.71/6.22 inference(tautology,[status(thm)],[])).
% 8.71/6.22 tff(14865,plain,
% 8.71/6.22 (v102(constB61)),
% 8.71/6.22 inference(unit_resolution,[status(thm)],[14864, 14863, 6977])).
% 8.71/6.22 tff(14866,plain,
% 8.71/6.22 ((~(v104(constB62) <=> v102(constB61))) | v104(constB62) | (~v102(constB61))),
% 8.71/6.22 inference(tautology,[status(thm)],[])).
% 8.71/6.22 tff(14867,plain,
% 8.71/6.22 (v104(constB62)),
% 8.71/6.22 inference(unit_resolution,[status(thm)],[14866, 14865, 6975])).
% 8.71/6.22 tff(14868,plain,
% 8.71/6.22 ((~((~v104(constB62)) | (~v95(constB62)))) | (~v104(constB62)) | (~v95(constB62))),
% 8.71/6.22 inference(tautology,[status(thm)],[])).
% 8.71/6.22 tff(14869,plain,
% 8.71/6.22 (~((~v104(constB62)) | (~v95(constB62)))),
% 8.71/6.22 inference(unit_resolution,[status(thm)],[14868, 14867, 6971])).
% 8.71/6.22 tff(14870,plain,
% 8.71/6.22 ((~(v94(constB62) <=> (~((~v104(constB62)) | (~v95(constB62)))))) | v94(constB62) | ((~v104(constB62)) | (~v95(constB62)))),
% 8.71/6.22 inference(tautology,[status(thm)],[])).
% 8.71/6.22 tff(14871,plain,
% 8.71/6.22 (v94(constB62)),
% 8.71/6.22 inference(unit_resolution,[status(thm)],[14870, 14869, 6940])).
% 8.71/6.22 tff(14872,plain,
% 8.71/6.22 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB62)) | ![B: $i] : ((~less_3(B)) | (v84(constB62, B) <=> v123(constB62, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB62)) | ![B: $i] : ((~less_3(B)) | (v84(constB62, B) <=> v123(constB62, B))))),
% 8.71/6.22 inference(rewrite,[status(thm)],[])).
% 8.71/6.22 tff(14873,plain,
% 8.71/6.22 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB62)) | ![B: $i] : ((~less_3(B)) | (v84(constB62, B) <=> v123(constB62, B))))),
% 8.71/6.22 inference(quant_inst,[status(thm)],[])).
% 8.71/6.22 tff(14874,plain,
% 8.71/6.22 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB62)) | ![B: $i] : ((~less_3(B)) | (v84(constB62, B) <=> v123(constB62, B)))),
% 8.71/6.22 inference(modus_ponens,[status(thm)],[14873, 14872])).
% 8.71/6.22 tff(14875,plain,
% 8.71/6.22 ((~v94(constB62)) | ![B: $i] : ((~less_3(B)) | (v84(constB62, B) <=> v123(constB62, B)))),
% 8.71/6.22 inference(unit_resolution,[status(thm)],[14874, 9902])).
% 8.71/6.22 tff(14876,plain,
% 8.71/6.22 (![B: $i] : ((~less_3(B)) | (v84(constB62, B) <=> v123(constB62, B)))),
% 8.71/6.22 inference(unit_resolution,[status(thm)],[14875, 14871])).
% 8.71/6.22 tff(14877,plain,
% 8.71/6.22 (((~![B: $i] : ((~less_3(B)) | (v84(constB62, B) <=> v123(constB62, B)))) | ((~less_3(bitIndex2)) | (v84(constB62, bitIndex2) <=> v123(constB62, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB62, B) <=> v123(constB62, B)))) | (~less_3(bitIndex2)) | (v84(constB62, bitIndex2) <=> v123(constB62, bitIndex2)))),
% 8.71/6.22 inference(rewrite,[status(thm)],[])).
% 8.71/6.22 tff(14878,plain,
% 8.71/6.22 ((~![B: $i] : ((~less_3(B)) | (v84(constB62, B) <=> v123(constB62, B)))) | ((~less_3(bitIndex2)) | (v84(constB62, bitIndex2) <=> v123(constB62, bitIndex2)))),
% 8.71/6.22 inference(quant_inst,[status(thm)],[])).
% 8.71/6.22 tff(14879,plain,
% 8.71/6.22 ((~![B: $i] : ((~less_3(B)) | (v84(constB62, B) <=> v123(constB62, B)))) | (~less_3(bitIndex2)) | (v84(constB62, bitIndex2) <=> v123(constB62, bitIndex2))),
% 8.71/6.22 inference(modus_ponens,[status(thm)],[14878, 14877])).
% 8.71/6.22 tff(14880,plain,
% 8.71/6.22 (v84(constB62, bitIndex2) <=> v123(constB62, bitIndex2)),
% 8.71/6.22 inference(unit_resolution,[status(thm)],[14879, 832, 14876])).
% 8.71/6.22 tff(14881,plain,
% 8.71/6.22 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB61, constB62)) | ![B: $i] : ((~less_3(B)) | (v123(constB62, B) <=> v121(constB61, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB61, constB62)) | ![B: $i] : ((~less_3(B)) | (v123(constB62, B) <=> v121(constB61, B))))),
% 8.71/6.22 inference(rewrite,[status(thm)],[])).
% 8.71/6.22 tff(14882,plain,
% 8.71/6.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB61, constB62)) | ![B: $i] : ((~less_3(B)) | (v123(constB62, B) <=> v121(constB61, B))))),
% 8.71/6.22 inference(quant_inst,[status(thm)],[])).
% 8.71/6.22 tff(14883,plain,
% 8.71/6.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB61, constB62)) | ![B: $i] : ((~less_3(B)) | (v123(constB62, B) <=> v121(constB61, B)))),
% 8.71/6.22 inference(modus_ponens,[status(thm)],[14882, 14881])).
% 8.71/6.22 tff(14884,plain,
% 8.71/6.22 (![B: $i] : ((~less_3(B)) | (v123(constB62, B) <=> v121(constB61, B)))),
% 8.71/6.22 inference(unit_resolution,[status(thm)],[14883, 6936, 9924])).
% 8.71/6.22 tff(14885,plain,
% 8.71/6.22 (((~![B: $i] : ((~less_3(B)) | (v123(constB62, B) <=> v121(constB61, B)))) | ((~less_3(bitIndex2)) | (v123(constB62, bitIndex2) <=> v121(constB61, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB62, B) <=> v121(constB61, B)))) | (~less_3(bitIndex2)) | (v123(constB62, bitIndex2) <=> v121(constB61, bitIndex2)))),
% 8.71/6.22 inference(rewrite,[status(thm)],[])).
% 8.71/6.22 tff(14886,plain,
% 8.71/6.22 ((~![B: $i] : ((~less_3(B)) | (v123(constB62, B) <=> v121(constB61, B)))) | ((~less_3(bitIndex2)) | (v123(constB62, bitIndex2) <=> v121(constB61, bitIndex2)))),
% 8.71/6.22 inference(quant_inst,[status(thm)],[])).
% 8.71/6.22 tff(14887,plain,
% 8.71/6.22 ((~![B: $i] : ((~less_3(B)) | (v123(constB62, B) <=> v121(constB61, B)))) | (~less_3(bitIndex2)) | (v123(constB62, bitIndex2) <=> v121(constB61, bitIndex2))),
% 8.71/6.23 inference(modus_ponens,[status(thm)],[14886, 14885])).
% 8.71/6.23 tff(14888,plain,
% 8.71/6.23 (v123(constB62, bitIndex2) <=> v121(constB61, bitIndex2)),
% 8.71/6.23 inference(unit_resolution,[status(thm)],[14887, 832, 14884])).
% 8.71/6.23 tff(14889,plain,
% 8.71/6.23 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB61) | ![B: $i] : ((~less_3(B)) | (v121(constB61, B) <=> v124(constB61, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB61) | ![B: $i] : ((~less_3(B)) | (v121(constB61, B) <=> v124(constB61, B))))),
% 8.71/6.23 inference(rewrite,[status(thm)],[])).
% 8.71/6.23 tff(14890,plain,
% 8.71/6.23 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB61) | ![B: $i] : ((~less_3(B)) | (v121(constB61, B) <=> v124(constB61, B))))),
% 8.71/6.23 inference(quant_inst,[status(thm)],[])).
% 8.71/6.23 tff(14891,plain,
% 8.71/6.23 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB61) | ![B: $i] : ((~less_3(B)) | (v121(constB61, B) <=> v124(constB61, B)))),
% 8.71/6.23 inference(modus_ponens,[status(thm)],[14890, 14889])).
% 8.71/6.23 tff(14892,plain,
% 8.71/6.23 (![B: $i] : ((~less_3(B)) | (v121(constB61, B) <=> v124(constB61, B)))),
% 8.71/6.23 inference(unit_resolution,[status(thm)],[14891, 9945, 14853])).
% 8.71/6.23 tff(14893,plain,
% 8.71/6.23 (((~![B: $i] : ((~less_3(B)) | (v121(constB61, B) <=> v124(constB61, B)))) | ((~less_3(bitIndex2)) | (v121(constB61, bitIndex2) <=> v124(constB61, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB61, B) <=> v124(constB61, B)))) | (~less_3(bitIndex2)) | (v121(constB61, bitIndex2) <=> v124(constB61, bitIndex2)))),
% 8.71/6.23 inference(rewrite,[status(thm)],[])).
% 8.71/6.23 tff(14894,plain,
% 8.71/6.23 ((~![B: $i] : ((~less_3(B)) | (v121(constB61, B) <=> v124(constB61, B)))) | ((~less_3(bitIndex2)) | (v121(constB61, bitIndex2) <=> v124(constB61, bitIndex2)))),
% 8.71/6.23 inference(quant_inst,[status(thm)],[])).
% 8.71/6.23 tff(14895,plain,
% 8.71/6.23 ((~![B: $i] : ((~less_3(B)) | (v121(constB61, B) <=> v124(constB61, B)))) | (~less_3(bitIndex2)) | (v121(constB61, bitIndex2) <=> v124(constB61, bitIndex2))),
% 8.71/6.23 inference(modus_ponens,[status(thm)],[14894, 14893])).
% 8.71/6.23 tff(14896,plain,
% 8.71/6.23 (v121(constB61, bitIndex2) <=> v124(constB61, bitIndex2)),
% 8.71/6.23 inference(unit_resolution,[status(thm)],[14895, 832, 14892])).
% 8.71/6.23 tff(14897,plain,
% 8.71/6.23 ((~![VarCurr: $i] : (v113(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))))) | (v113(constB61) <=> (~(v84(constB61, bitIndex0) | v84(constB61, bitIndex1) | v84(constB61, bitIndex2))))),
% 8.71/6.23 inference(quant_inst,[status(thm)],[])).
% 8.71/6.23 tff(14898,plain,
% 8.71/6.23 (v113(constB61) <=> (~(v84(constB61, bitIndex0) | v84(constB61, bitIndex1) | v84(constB61, bitIndex2)))),
% 8.71/6.23 inference(unit_resolution,[status(thm)],[14897, 9739])).
% 8.71/6.23 tff(14899,plain,
% 8.71/6.23 ((v84(constB61, bitIndex0) | v84(constB61, bitIndex1) | v84(constB61, bitIndex2)) | (~v84(constB61, bitIndex2))),
% 8.71/6.23 inference(tautology,[status(thm)],[])).
% 8.71/6.23 tff(14900,plain,
% 8.71/6.23 (v84(constB61, bitIndex0) | v84(constB61, bitIndex1) | v84(constB61, bitIndex2)),
% 8.71/6.23 inference(unit_resolution,[status(thm)],[14899, 14774])).
% 8.71/6.23 tff(14901,plain,
% 8.71/6.23 ((~(v113(constB61) <=> (~(v84(constB61, bitIndex0) | v84(constB61, bitIndex1) | v84(constB61, bitIndex2))))) | (~v113(constB61)) | (~(v84(constB61, bitIndex0) | v84(constB61, bitIndex1) | v84(constB61, bitIndex2)))),
% 8.71/6.23 inference(tautology,[status(thm)],[])).
% 8.71/6.23 tff(14902,plain,
% 8.71/6.23 (~v113(constB61)),
% 8.71/6.23 inference(unit_resolution,[status(thm)],[14901, 14900, 14898])).
% 8.71/6.23 tff(14903,plain,
% 8.71/6.23 (((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB61) <=> (~((~v84(constB61, bitIndex2)) | v84(constB61, bitIndex1) | (~v84(constB61, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB61) <=> (~((~v84(constB61, bitIndex2)) | v84(constB61, bitIndex1) | (~v84(constB61, bitIndex0))))))),
% 8.71/6.23 inference(rewrite,[status(thm)],[])).
% 8.71/6.23 tff(14904,plain,
% 8.71/6.23 ((v118(constB61) <=> (~(v84(constB61, bitIndex1) | (~v84(constB61, bitIndex0)) | (~v84(constB61, bitIndex2))))) <=> (v118(constB61) <=> (~((~v84(constB61, bitIndex2)) | v84(constB61, bitIndex1) | (~v84(constB61, bitIndex0)))))),
% 8.71/6.23 inference(rewrite,[status(thm)],[])).
% 8.71/6.23 tff(14905,plain,
% 8.71/6.23 (((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB61) <=> (~(v84(constB61, bitIndex1) | (~v84(constB61, bitIndex0)) | (~v84(constB61, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB61) <=> (~((~v84(constB61, bitIndex2)) | v84(constB61, bitIndex1) | (~v84(constB61, bitIndex0))))))),
% 8.71/6.23 inference(monotonicity,[status(thm)],[14904])).
% 8.71/6.23 tff(14906,plain,
% 8.71/6.23 (((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB61) <=> (~(v84(constB61, bitIndex1) | (~v84(constB61, bitIndex0)) | (~v84(constB61, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB61) <=> (~((~v84(constB61, bitIndex2)) | v84(constB61, bitIndex1) | (~v84(constB61, bitIndex0))))))),
% 8.71/6.23 inference(transitivity,[status(thm)],[14905, 14903])).
% 8.71/6.23 tff(14907,plain,
% 8.71/6.23 ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB61) <=> (~(v84(constB61, bitIndex1) | (~v84(constB61, bitIndex0)) | (~v84(constB61, bitIndex2)))))),
% 8.71/6.23 inference(quant_inst,[status(thm)],[])).
% 8.71/6.23 tff(14908,plain,
% 8.71/6.23 ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB61) <=> (~((~v84(constB61, bitIndex2)) | v84(constB61, bitIndex1) | (~v84(constB61, bitIndex0)))))),
% 8.71/6.23 inference(modus_ponens,[status(thm)],[14907, 14906])).
% 8.71/6.23 tff(14909,plain,
% 8.71/6.23 (v118(constB61) <=> (~((~v84(constB61, bitIndex2)) | v84(constB61, bitIndex1) | (~v84(constB61, bitIndex0))))),
% 8.71/6.23 inference(unit_resolution,[status(thm)],[14908, 960])).
% 8.71/6.23 tff(14910,plain,
% 8.71/6.23 (((~v84(constB61, bitIndex2)) | v84(constB61, bitIndex1) | (~v84(constB61, bitIndex0))) | (~v84(constB61, bitIndex1))),
% 8.71/6.23 inference(tautology,[status(thm)],[])).
% 8.71/6.23 tff(14911,plain,
% 8.71/6.23 ((~v84(constB61, bitIndex2)) | v84(constB61, bitIndex1) | (~v84(constB61, bitIndex0))),
% 8.71/6.23 inference(unit_resolution,[status(thm)],[14910, 14836])).
% 8.71/6.23 tff(14912,plain,
% 8.71/6.23 ((~(v118(constB61) <=> (~((~v84(constB61, bitIndex2)) | v84(constB61, bitIndex1) | (~v84(constB61, bitIndex0)))))) | (~v118(constB61)) | (~((~v84(constB61, bitIndex2)) | v84(constB61, bitIndex1) | (~v84(constB61, bitIndex0))))),
% 8.71/6.23 inference(tautology,[status(thm)],[])).
% 8.71/6.23 tff(14913,plain,
% 8.71/6.23 (~v118(constB61)),
% 8.71/6.23 inference(unit_resolution,[status(thm)],[14912, 14911, 14909])).
% 8.71/6.23 tff(14914,plain,
% 8.71/6.23 (((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB61) <=> (~((~v84(constB61, bitIndex2)) | v84(constB61, bitIndex1) | v84(constB61, bitIndex0))))) <=> ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB61) <=> (~((~v84(constB61, bitIndex2)) | v84(constB61, bitIndex1) | v84(constB61, bitIndex0)))))),
% 8.71/6.23 inference(rewrite,[status(thm)],[])).
% 8.71/6.23 tff(14915,plain,
% 8.71/6.23 ((v117(constB61) <=> (~(v84(constB61, bitIndex0) | v84(constB61, bitIndex1) | (~v84(constB61, bitIndex2))))) <=> (v117(constB61) <=> (~((~v84(constB61, bitIndex2)) | v84(constB61, bitIndex1) | v84(constB61, bitIndex0))))),
% 8.71/6.23 inference(rewrite,[status(thm)],[])).
% 8.71/6.23 tff(14916,plain,
% 8.71/6.23 (((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB61) <=> (~(v84(constB61, bitIndex0) | v84(constB61, bitIndex1) | (~v84(constB61, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB61) <=> (~((~v84(constB61, bitIndex2)) | v84(constB61, bitIndex1) | v84(constB61, bitIndex0)))))),
% 8.71/6.23 inference(monotonicity,[status(thm)],[14915])).
% 8.71/6.23 tff(14917,plain,
% 8.71/6.23 (((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB61) <=> (~(v84(constB61, bitIndex0) | v84(constB61, bitIndex1) | (~v84(constB61, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB61) <=> (~((~v84(constB61, bitIndex2)) | v84(constB61, bitIndex1) | v84(constB61, bitIndex0)))))),
% 8.71/6.23 inference(transitivity,[status(thm)],[14916, 14914])).
% 8.71/6.23 tff(14918,plain,
% 8.71/6.23 ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB61) <=> (~(v84(constB61, bitIndex0) | v84(constB61, bitIndex1) | (~v84(constB61, bitIndex2)))))),
% 8.71/6.23 inference(quant_inst,[status(thm)],[])).
% 8.71/6.23 tff(14919,plain,
% 8.71/6.23 ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB61) <=> (~((~v84(constB61, bitIndex2)) | v84(constB61, bitIndex1) | v84(constB61, bitIndex0))))),
% 8.71/6.23 inference(modus_ponens,[status(thm)],[14918, 14917])).
% 8.71/6.23 tff(14920,plain,
% 8.71/6.23 (v117(constB61) <=> (~((~v84(constB61, bitIndex2)) | v84(constB61, bitIndex1) | v84(constB61, bitIndex0)))),
% 8.71/6.23 inference(unit_resolution,[status(thm)],[14919, 1071])).
% 8.71/6.23 tff(14921,plain,
% 8.71/6.23 (((~v84(constB61, bitIndex2)) | v84(constB61, bitIndex1) | v84(constB61, bitIndex0)) | (~v84(constB61, bitIndex1))),
% 8.71/6.23 inference(tautology,[status(thm)],[])).
% 8.71/6.23 tff(14922,plain,
% 8.71/6.23 ((~v84(constB61, bitIndex2)) | v84(constB61, bitIndex1) | v84(constB61, bitIndex0)),
% 8.71/6.23 inference(unit_resolution,[status(thm)],[14921, 14836])).
% 8.71/6.23 tff(14923,plain,
% 8.71/6.23 ((~(v117(constB61) <=> (~((~v84(constB61, bitIndex2)) | v84(constB61, bitIndex1) | v84(constB61, bitIndex0))))) | (~v117(constB61)) | (~((~v84(constB61, bitIndex2)) | v84(constB61, bitIndex1) | v84(constB61, bitIndex0)))),
% 8.71/6.23 inference(tautology,[status(thm)],[])).
% 8.71/6.23 tff(14924,plain,
% 8.71/6.23 (~v117(constB61)),
% 8.71/6.23 inference(unit_resolution,[status(thm)],[14923, 14922, 14920])).
% 8.71/6.23 tff(14925,plain,
% 8.71/6.23 ((~![VarCurr: $i] : (v116(VarCurr) <=> (~(v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex0)))))) | (v116(constB61) <=> (~(v84(constB61, bitIndex2) | (~v84(constB61, bitIndex1)) | (~v84(constB61, bitIndex0)))))),
% 8.71/6.23 inference(quant_inst,[status(thm)],[])).
% 8.71/6.23 tff(14926,plain,
% 8.71/6.23 (v116(constB61) <=> (~(v84(constB61, bitIndex2) | (~v84(constB61, bitIndex1)) | (~v84(constB61, bitIndex0))))),
% 8.71/6.23 inference(unit_resolution,[status(thm)],[14925, 1184])).
% 8.71/6.23 tff(14927,plain,
% 8.71/6.23 ((v84(constB61, bitIndex2) | (~v84(constB61, bitIndex1)) | (~v84(constB61, bitIndex0))) | (~v84(constB61, bitIndex2))),
% 8.71/6.23 inference(tautology,[status(thm)],[])).
% 8.71/6.23 tff(14928,plain,
% 8.71/6.23 (v84(constB61, bitIndex2) | (~v84(constB61, bitIndex1)) | (~v84(constB61, bitIndex0))),
% 8.71/6.23 inference(unit_resolution,[status(thm)],[14927, 14774])).
% 8.71/6.23 tff(14929,plain,
% 8.71/6.23 ((~(v116(constB61) <=> (~(v84(constB61, bitIndex2) | (~v84(constB61, bitIndex1)) | (~v84(constB61, bitIndex0)))))) | (~v116(constB61)) | (~(v84(constB61, bitIndex2) | (~v84(constB61, bitIndex1)) | (~v84(constB61, bitIndex0))))),
% 8.71/6.23 inference(tautology,[status(thm)],[])).
% 8.71/6.23 tff(14930,plain,
% 8.71/6.23 (~v116(constB61)),
% 8.71/6.23 inference(unit_resolution,[status(thm)],[14929, 14928, 14926])).
% 8.71/6.23 tff(14931,plain,
% 8.71/6.23 (((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB61) <=> (~(v84(constB61, bitIndex2) | (~v84(constB61, bitIndex1)) | v84(constB61, bitIndex0))))) <=> ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB61) <=> (~(v84(constB61, bitIndex2) | (~v84(constB61, bitIndex1)) | v84(constB61, bitIndex0)))))),
% 8.71/6.23 inference(rewrite,[status(thm)],[])).
% 8.71/6.23 tff(14932,plain,
% 8.71/6.23 ((v115(constB61) <=> (~(v84(constB61, bitIndex0) | v84(constB61, bitIndex2) | (~v84(constB61, bitIndex1))))) <=> (v115(constB61) <=> (~(v84(constB61, bitIndex2) | (~v84(constB61, bitIndex1)) | v84(constB61, bitIndex0))))),
% 8.71/6.23 inference(rewrite,[status(thm)],[])).
% 8.71/6.23 tff(14933,plain,
% 8.71/6.23 (((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB61) <=> (~(v84(constB61, bitIndex0) | v84(constB61, bitIndex2) | (~v84(constB61, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB61) <=> (~(v84(constB61, bitIndex2) | (~v84(constB61, bitIndex1)) | v84(constB61, bitIndex0)))))),
% 8.71/6.23 inference(monotonicity,[status(thm)],[14932])).
% 8.71/6.23 tff(14934,plain,
% 8.71/6.23 (((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB61) <=> (~(v84(constB61, bitIndex0) | v84(constB61, bitIndex2) | (~v84(constB61, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB61) <=> (~(v84(constB61, bitIndex2) | (~v84(constB61, bitIndex1)) | v84(constB61, bitIndex0)))))),
% 8.71/6.23 inference(transitivity,[status(thm)],[14933, 14931])).
% 8.71/6.23 tff(14935,plain,
% 8.71/6.23 ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB61) <=> (~(v84(constB61, bitIndex0) | v84(constB61, bitIndex2) | (~v84(constB61, bitIndex1)))))),
% 8.71/6.23 inference(quant_inst,[status(thm)],[])).
% 8.71/6.23 tff(14936,plain,
% 8.71/6.23 ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB61) <=> (~(v84(constB61, bitIndex2) | (~v84(constB61, bitIndex1)) | v84(constB61, bitIndex0))))),
% 8.71/6.23 inference(modus_ponens,[status(thm)],[14935, 14934])).
% 8.71/6.23 tff(14937,plain,
% 8.71/6.23 (v115(constB61) <=> (~(v84(constB61, bitIndex2) | (~v84(constB61, bitIndex1)) | v84(constB61, bitIndex0)))),
% 8.71/6.23 inference(unit_resolution,[status(thm)],[14936, 1294])).
% 8.71/6.23 tff(14938,plain,
% 8.71/6.23 ((v84(constB61, bitIndex2) | (~v84(constB61, bitIndex1)) | v84(constB61, bitIndex0)) | (~v84(constB61, bitIndex2))),
% 8.71/6.23 inference(tautology,[status(thm)],[])).
% 8.71/6.23 tff(14939,plain,
% 8.71/6.23 (v84(constB61, bitIndex2) | (~v84(constB61, bitIndex1)) | v84(constB61, bitIndex0)),
% 8.71/6.23 inference(unit_resolution,[status(thm)],[14938, 14774])).
% 8.71/6.23 tff(14940,plain,
% 8.71/6.23 ((~(v115(constB61) <=> (~(v84(constB61, bitIndex2) | (~v84(constB61, bitIndex1)) | v84(constB61, bitIndex0))))) | (~v115(constB61)) | (~(v84(constB61, bitIndex2) | (~v84(constB61, bitIndex1)) | v84(constB61, bitIndex0)))),
% 8.71/6.23 inference(tautology,[status(thm)],[])).
% 8.71/6.23 tff(14941,plain,
% 8.71/6.23 (~v115(constB61)),
% 8.71/6.23 inference(unit_resolution,[status(thm)],[14940, 14939, 14937])).
% 8.71/6.23 tff(14942,plain,
% 8.71/6.23 (((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB61) <=> (~(v84(constB61, bitIndex2) | v84(constB61, bitIndex1) | (~v84(constB61, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB61) <=> (~(v84(constB61, bitIndex2) | v84(constB61, bitIndex1) | (~v84(constB61, bitIndex0))))))),
% 8.71/6.23 inference(rewrite,[status(thm)],[])).
% 8.71/6.23 tff(14943,plain,
% 8.71/6.23 ((v114(constB61) <=> (~(v84(constB61, bitIndex1) | v84(constB61, bitIndex2) | (~v84(constB61, bitIndex0))))) <=> (v114(constB61) <=> (~(v84(constB61, bitIndex2) | v84(constB61, bitIndex1) | (~v84(constB61, bitIndex0)))))),
% 8.71/6.23 inference(rewrite,[status(thm)],[])).
% 8.71/6.23 tff(14944,plain,
% 8.71/6.23 (((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB61) <=> (~(v84(constB61, bitIndex1) | v84(constB61, bitIndex2) | (~v84(constB61, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB61) <=> (~(v84(constB61, bitIndex2) | v84(constB61, bitIndex1) | (~v84(constB61, bitIndex0))))))),
% 8.71/6.23 inference(monotonicity,[status(thm)],[14943])).
% 8.71/6.23 tff(14945,plain,
% 8.71/6.23 (((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB61) <=> (~(v84(constB61, bitIndex1) | v84(constB61, bitIndex2) | (~v84(constB61, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB61) <=> (~(v84(constB61, bitIndex2) | v84(constB61, bitIndex1) | (~v84(constB61, bitIndex0))))))),
% 8.71/6.23 inference(transitivity,[status(thm)],[14944, 14942])).
% 8.71/6.23 tff(14946,plain,
% 8.71/6.23 ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB61) <=> (~(v84(constB61, bitIndex1) | v84(constB61, bitIndex2) | (~v84(constB61, bitIndex0)))))),
% 8.71/6.23 inference(quant_inst,[status(thm)],[])).
% 8.71/6.23 tff(14947,plain,
% 8.71/6.23 ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB61) <=> (~(v84(constB61, bitIndex2) | v84(constB61, bitIndex1) | (~v84(constB61, bitIndex0)))))),
% 8.71/6.23 inference(modus_ponens,[status(thm)],[14946, 14945])).
% 8.71/6.23 tff(14948,plain,
% 8.71/6.23 (v114(constB61) <=> (~(v84(constB61, bitIndex2) | v84(constB61, bitIndex1) | (~v84(constB61, bitIndex0))))),
% 8.71/6.23 inference(unit_resolution,[status(thm)],[14947, 1411])).
% 8.71/6.23 tff(14949,plain,
% 8.71/6.23 ((v84(constB61, bitIndex2) | v84(constB61, bitIndex1) | (~v84(constB61, bitIndex0))) | (~v84(constB61, bitIndex2))),
% 8.71/6.23 inference(tautology,[status(thm)],[])).
% 8.71/6.23 tff(14950,plain,
% 8.71/6.23 (v84(constB61, bitIndex2) | v84(constB61, bitIndex1) | (~v84(constB61, bitIndex0))),
% 8.71/6.23 inference(unit_resolution,[status(thm)],[14949, 14774])).
% 8.71/6.23 tff(14951,plain,
% 8.71/6.23 ((~(v114(constB61) <=> (~(v84(constB61, bitIndex2) | v84(constB61, bitIndex1) | (~v84(constB61, bitIndex0)))))) | (~v114(constB61)) | (~(v84(constB61, bitIndex2) | v84(constB61, bitIndex1) | (~v84(constB61, bitIndex0))))),
% 8.71/6.23 inference(tautology,[status(thm)],[])).
% 8.71/6.23 tff(14952,plain,
% 8.71/6.23 (~v114(constB61)),
% 8.71/6.23 inference(unit_resolution,[status(thm)],[14951, 14950, 14948])).
% 8.71/6.23 tff(14953,plain,
% 8.71/6.23 (((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | (v113(constB61) | v114(constB61) | v115(constB61) | v116(constB61) | v117(constB61) | v118(constB61) | ![B: $i] : ((~less_3(B)) | (v124(constB61, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | v113(constB61) | v114(constB61) | v115(constB61) | v116(constB61) | v117(constB61) | v118(constB61) | ![B: $i] : ((~less_3(B)) | (v124(constB61, B) <=> b001(B))))),
% 8.71/6.23 inference(rewrite,[status(thm)],[])).
% 8.71/6.23 tff(14954,plain,
% 8.71/6.23 ((v118(constB61) | v117(constB61) | v116(constB61) | v115(constB61) | v114(constB61) | v113(constB61) | ![B: $i] : ((~less_3(B)) | (v124(constB61, B) <=> b001(B)))) <=> (v113(constB61) | v114(constB61) | v115(constB61) | v116(constB61) | v117(constB61) | v118(constB61) | ![B: $i] : ((~less_3(B)) | (v124(constB61, B) <=> b001(B))))),
% 8.71/6.23 inference(rewrite,[status(thm)],[])).
% 8.71/6.23 tff(14955,plain,
% 8.71/6.23 (((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | (v118(constB61) | v117(constB61) | v116(constB61) | v115(constB61) | v114(constB61) | v113(constB61) | ![B: $i] : ((~less_3(B)) | (v124(constB61, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | (v113(constB61) | v114(constB61) | v115(constB61) | v116(constB61) | v117(constB61) | v118(constB61) | ![B: $i] : ((~less_3(B)) | (v124(constB61, B) <=> b001(B)))))),
% 8.71/6.23 inference(monotonicity,[status(thm)],[14954])).
% 8.71/6.23 tff(14956,plain,
% 8.71/6.23 (((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | (v118(constB61) | v117(constB61) | v116(constB61) | v115(constB61) | v114(constB61) | v113(constB61) | ![B: $i] : ((~less_3(B)) | (v124(constB61, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | v113(constB61) | v114(constB61) | v115(constB61) | v116(constB61) | v117(constB61) | v118(constB61) | ![B: $i] : ((~less_3(B)) | (v124(constB61, B) <=> b001(B))))),
% 8.71/6.23 inference(transitivity,[status(thm)],[14955, 14953])).
% 8.71/6.23 tff(14957,plain,
% 8.71/6.23 ((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | (v118(constB61) | v117(constB61) | v116(constB61) | v115(constB61) | v114(constB61) | v113(constB61) | ![B: $i] : ((~less_3(B)) | (v124(constB61, B) <=> b001(B))))),
% 8.71/6.23 inference(quant_inst,[status(thm)],[])).
% 8.71/6.23 tff(14958,plain,
% 8.71/6.23 ((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | v113(constB61) | v114(constB61) | v115(constB61) | v116(constB61) | v117(constB61) | v118(constB61) | ![B: $i] : ((~less_3(B)) | (v124(constB61, B) <=> b001(B)))),
% 8.71/6.23 inference(modus_ponens,[status(thm)],[14957, 14956])).
% 8.71/6.23 tff(14959,plain,
% 8.71/6.23 (v113(constB61) | v114(constB61) | v115(constB61) | v116(constB61) | v117(constB61) | v118(constB61) | ![B: $i] : ((~less_3(B)) | (v124(constB61, B) <=> b001(B)))),
% 8.71/6.23 inference(unit_resolution,[status(thm)],[14958, 11068])).
% 8.71/6.23 tff(14960,plain,
% 8.71/6.23 (![B: $i] : ((~less_3(B)) | (v124(constB61, B) <=> b001(B)))),
% 8.71/6.23 inference(unit_resolution,[status(thm)],[14959, 14952, 14941, 14930, 14924, 14913, 14902])).
% 8.71/6.23 tff(14961,plain,
% 8.71/6.23 (((~![B: $i] : ((~less_3(B)) | (v124(constB61, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v124(constB61, bitIndex2) <=> b001(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB61, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v124(constB61, bitIndex2) <=> b001(bitIndex2)))),
% 8.71/6.23 inference(rewrite,[status(thm)],[])).
% 8.71/6.23 tff(14962,plain,
% 8.71/6.23 ((~![B: $i] : ((~less_3(B)) | (v124(constB61, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v124(constB61, bitIndex2) <=> b001(bitIndex2)))),
% 8.71/6.23 inference(quant_inst,[status(thm)],[])).
% 8.71/6.23 tff(14963,plain,
% 8.71/6.23 ((~![B: $i] : ((~less_3(B)) | (v124(constB61, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v124(constB61, bitIndex2) <=> b001(bitIndex2))),
% 8.71/6.23 inference(modus_ponens,[status(thm)],[14962, 14961])).
% 8.71/6.23 tff(14964,plain,
% 8.71/6.23 (v124(constB61, bitIndex2) <=> b001(bitIndex2)),
% 8.71/6.23 inference(unit_resolution,[status(thm)],[14963, 832, 14960])).
% 8.71/6.23 tff(14965,plain,
% 8.71/6.23 ((~(v124(constB61, bitIndex2) <=> b001(bitIndex2))) | (~v124(constB61, bitIndex2)) | b001(bitIndex2)),
% 8.71/6.23 inference(tautology,[status(thm)],[])).
% 8.71/6.23 tff(14966,plain,
% 8.71/6.23 ((~(v124(constB61, bitIndex2) <=> b001(bitIndex2))) | (~v124(constB61, bitIndex2))),
% 8.71/6.23 inference(unit_resolution,[status(thm)],[14965, 9977])).
% 8.71/6.23 tff(14967,plain,
% 8.71/6.23 (~v124(constB61, bitIndex2)),
% 8.71/6.23 inference(unit_resolution,[status(thm)],[14966, 14964])).
% 8.71/6.23 tff(14968,plain,
% 8.71/6.23 ((~(v121(constB61, bitIndex2) <=> v124(constB61, bitIndex2))) | (~v121(constB61, bitIndex2)) | v124(constB61, bitIndex2)),
% 8.71/6.23 inference(tautology,[status(thm)],[])).
% 8.71/6.23 tff(14969,plain,
% 8.71/6.23 (~v121(constB61, bitIndex2)),
% 8.71/6.23 inference(unit_resolution,[status(thm)],[14968, 14967, 14896])).
% 8.71/6.23 tff(14970,plain,
% 8.71/6.23 ((~(v123(constB62, bitIndex2) <=> v121(constB61, bitIndex2))) | (~v123(constB62, bitIndex2)) | v121(constB61, bitIndex2)),
% 8.71/6.23 inference(tautology,[status(thm)],[])).
% 8.71/6.23 tff(14971,plain,
% 8.71/6.23 (~v123(constB62, bitIndex2)),
% 8.71/6.23 inference(unit_resolution,[status(thm)],[14970, 14969, 14888])).
% 8.71/6.23 tff(14972,plain,
% 8.71/6.23 ((~(v84(constB62, bitIndex2) <=> v123(constB62, bitIndex2))) | (~v84(constB62, bitIndex2)) | v123(constB62, bitIndex2)),
% 8.71/6.23 inference(tautology,[status(thm)],[])).
% 8.71/6.23 tff(14973,plain,
% 8.71/6.23 (~v84(constB62, bitIndex2)),
% 8.71/6.23 inference(unit_resolution,[status(thm)],[14972, 14971, 14880])).
% 8.71/6.23 tff(14974,plain,
% 8.71/6.23 ((~(v84(constB63, bitIndex2) <=> v84(constB62, bitIndex2))) | (~v84(constB63, bitIndex2)) | v84(constB62, bitIndex2)),
% 8.71/6.23 inference(tautology,[status(thm)],[])).
% 8.71/6.23 tff(14975,plain,
% 8.71/6.23 (~v84(constB63, bitIndex2)),
% 8.71/6.23 inference(unit_resolution,[status(thm)],[14974, 14973, 6933])).
% 8.71/6.23 tff(14976,plain,
% 8.71/6.23 (((~![B: $i] : ((~less_3(B)) | (v84(constB63, B) <=> v84(constB62, B)))) | ((~less_3(bitIndex0)) | (v84(constB63, bitIndex0) <=> v84(constB62, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB63, B) <=> v84(constB62, B)))) | (~less_3(bitIndex0)) | (v84(constB63, bitIndex0) <=> v84(constB62, bitIndex0)))),
% 8.71/6.23 inference(rewrite,[status(thm)],[])).
% 8.71/6.23 tff(14977,plain,
% 8.71/6.23 ((~![B: $i] : ((~less_3(B)) | (v84(constB63, B) <=> v84(constB62, B)))) | ((~less_3(bitIndex0)) | (v84(constB63, bitIndex0) <=> v84(constB62, bitIndex0)))),
% 8.71/6.23 inference(quant_inst,[status(thm)],[])).
% 8.71/6.23 tff(14978,plain,
% 8.71/6.23 ((~![B: $i] : ((~less_3(B)) | (v84(constB63, B) <=> v84(constB62, B)))) | (~less_3(bitIndex0)) | (v84(constB63, bitIndex0) <=> v84(constB62, bitIndex0))),
% 8.71/6.23 inference(modus_ponens,[status(thm)],[14977, 14976])).
% 8.71/6.23 tff(14979,plain,
% 8.71/6.23 (v84(constB63, bitIndex0) <=> v84(constB62, bitIndex0)),
% 8.71/6.23 inference(unit_resolution,[status(thm)],[14978, 9772, 6929])).
% 8.71/6.23 tff(14980,plain,
% 8.71/6.23 (((~![B: $i] : ((~less_3(B)) | (v84(constB62, B) <=> v123(constB62, B)))) | ((~less_3(bitIndex0)) | (v84(constB62, bitIndex0) <=> v123(constB62, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB62, B) <=> v123(constB62, B)))) | (~less_3(bitIndex0)) | (v84(constB62, bitIndex0) <=> v123(constB62, bitIndex0)))),
% 8.71/6.23 inference(rewrite,[status(thm)],[])).
% 8.71/6.23 tff(14981,plain,
% 8.71/6.23 ((~![B: $i] : ((~less_3(B)) | (v84(constB62, B) <=> v123(constB62, B)))) | ((~less_3(bitIndex0)) | (v84(constB62, bitIndex0) <=> v123(constB62, bitIndex0)))),
% 8.71/6.23 inference(quant_inst,[status(thm)],[])).
% 8.71/6.23 tff(14982,plain,
% 8.71/6.23 ((~![B: $i] : ((~less_3(B)) | (v84(constB62, B) <=> v123(constB62, B)))) | (~less_3(bitIndex0)) | (v84(constB62, bitIndex0) <=> v123(constB62, bitIndex0))),
% 8.71/6.23 inference(modus_ponens,[status(thm)],[14981, 14980])).
% 8.71/6.23 tff(14983,plain,
% 8.71/6.23 (v84(constB62, bitIndex0) <=> v123(constB62, bitIndex0)),
% 8.71/6.23 inference(unit_resolution,[status(thm)],[14982, 9772, 14876])).
% 8.71/6.23 tff(14984,plain,
% 8.71/6.23 (((~![B: $i] : ((~less_3(B)) | (v123(constB62, B) <=> v121(constB61, B)))) | ((~less_3(bitIndex0)) | (v123(constB62, bitIndex0) <=> v121(constB61, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB62, B) <=> v121(constB61, B)))) | (~less_3(bitIndex0)) | (v123(constB62, bitIndex0) <=> v121(constB61, bitIndex0)))),
% 8.71/6.23 inference(rewrite,[status(thm)],[])).
% 8.71/6.23 tff(14985,plain,
% 8.71/6.23 ((~![B: $i] : ((~less_3(B)) | (v123(constB62, B) <=> v121(constB61, B)))) | ((~less_3(bitIndex0)) | (v123(constB62, bitIndex0) <=> v121(constB61, bitIndex0)))),
% 8.71/6.23 inference(quant_inst,[status(thm)],[])).
% 8.71/6.23 tff(14986,plain,
% 8.71/6.23 ((~![B: $i] : ((~less_3(B)) | (v123(constB62, B) <=> v121(constB61, B)))) | (~less_3(bitIndex0)) | (v123(constB62, bitIndex0) <=> v121(constB61, bitIndex0))),
% 8.71/6.23 inference(modus_ponens,[status(thm)],[14985, 14984])).
% 8.71/6.23 tff(14987,plain,
% 8.71/6.23 (v123(constB62, bitIndex0) <=> v121(constB61, bitIndex0)),
% 8.71/6.23 inference(unit_resolution,[status(thm)],[14986, 9772, 14884])).
% 8.71/6.23 tff(14988,plain,
% 8.71/6.23 (((~![B: $i] : ((~less_3(B)) | (v121(constB61, B) <=> v124(constB61, B)))) | ((~less_3(bitIndex0)) | (v121(constB61, bitIndex0) <=> v124(constB61, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB61, B) <=> v124(constB61, B)))) | (~less_3(bitIndex0)) | (v121(constB61, bitIndex0) <=> v124(constB61, bitIndex0)))),
% 8.71/6.24 inference(rewrite,[status(thm)],[])).
% 8.71/6.24 tff(14989,plain,
% 8.71/6.24 ((~![B: $i] : ((~less_3(B)) | (v121(constB61, B) <=> v124(constB61, B)))) | ((~less_3(bitIndex0)) | (v121(constB61, bitIndex0) <=> v124(constB61, bitIndex0)))),
% 8.71/6.24 inference(quant_inst,[status(thm)],[])).
% 8.71/6.24 tff(14990,plain,
% 8.71/6.24 ((~![B: $i] : ((~less_3(B)) | (v121(constB61, B) <=> v124(constB61, B)))) | (~less_3(bitIndex0)) | (v121(constB61, bitIndex0) <=> v124(constB61, bitIndex0))),
% 8.71/6.24 inference(modus_ponens,[status(thm)],[14989, 14988])).
% 8.71/6.24 tff(14991,plain,
% 8.71/6.24 (v121(constB61, bitIndex0) <=> v124(constB61, bitIndex0)),
% 8.71/6.24 inference(unit_resolution,[status(thm)],[14990, 9772, 14892])).
% 8.71/6.24 tff(14992,plain,
% 8.71/6.24 (((~![B: $i] : ((~less_3(B)) | (v124(constB61, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v124(constB61, bitIndex0) <=> b001(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB61, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v124(constB61, bitIndex0) <=> b001(bitIndex0)))),
% 8.71/6.24 inference(rewrite,[status(thm)],[])).
% 8.71/6.24 tff(14993,plain,
% 8.71/6.24 ((~![B: $i] : ((~less_3(B)) | (v124(constB61, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v124(constB61, bitIndex0) <=> b001(bitIndex0)))),
% 8.71/6.24 inference(quant_inst,[status(thm)],[])).
% 8.71/6.24 tff(14994,plain,
% 8.71/6.24 ((~![B: $i] : ((~less_3(B)) | (v124(constB61, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v124(constB61, bitIndex0) <=> b001(bitIndex0))),
% 8.71/6.24 inference(modus_ponens,[status(thm)],[14993, 14992])).
% 8.71/6.24 tff(14995,plain,
% 8.71/6.24 (v124(constB61, bitIndex0) <=> b001(bitIndex0)),
% 8.71/6.24 inference(unit_resolution,[status(thm)],[14994, 9772, 14960])).
% 8.71/6.24 tff(14996,plain,
% 8.71/6.24 ((~(v124(constB61, bitIndex0) <=> b001(bitIndex0))) | v124(constB61, bitIndex0) | (~b001(bitIndex0))),
% 8.71/6.24 inference(tautology,[status(thm)],[])).
% 8.71/6.24 tff(14997,plain,
% 8.71/6.24 ((~(v124(constB61, bitIndex0) <=> b001(bitIndex0))) | v124(constB61, bitIndex0)),
% 8.71/6.24 inference(unit_resolution,[status(thm)],[14996, 10011])).
% 8.71/6.24 tff(14998,plain,
% 8.71/6.24 (v124(constB61, bitIndex0)),
% 8.71/6.24 inference(unit_resolution,[status(thm)],[14997, 14995])).
% 8.71/6.24 tff(14999,plain,
% 8.71/6.24 ((~(v121(constB61, bitIndex0) <=> v124(constB61, bitIndex0))) | v121(constB61, bitIndex0) | (~v124(constB61, bitIndex0))),
% 8.71/6.24 inference(tautology,[status(thm)],[])).
% 8.71/6.24 tff(15000,plain,
% 8.71/6.24 (v121(constB61, bitIndex0)),
% 8.71/6.24 inference(unit_resolution,[status(thm)],[14999, 14998, 14991])).
% 8.71/6.24 tff(15001,plain,
% 8.71/6.24 ((~(v123(constB62, bitIndex0) <=> v121(constB61, bitIndex0))) | v123(constB62, bitIndex0) | (~v121(constB61, bitIndex0))),
% 8.71/6.24 inference(tautology,[status(thm)],[])).
% 8.71/6.24 tff(15002,plain,
% 8.71/6.24 (v123(constB62, bitIndex0)),
% 8.71/6.24 inference(unit_resolution,[status(thm)],[15001, 15000, 14987])).
% 8.71/6.24 tff(15003,plain,
% 8.71/6.24 ((~(v84(constB62, bitIndex0) <=> v123(constB62, bitIndex0))) | v84(constB62, bitIndex0) | (~v123(constB62, bitIndex0))),
% 8.71/6.24 inference(tautology,[status(thm)],[])).
% 8.71/6.24 tff(15004,plain,
% 8.71/6.24 (v84(constB62, bitIndex0)),
% 8.71/6.24 inference(unit_resolution,[status(thm)],[15003, 15002, 14983])).
% 8.71/6.24 tff(15005,plain,
% 8.71/6.24 ((~(v84(constB63, bitIndex0) <=> v84(constB62, bitIndex0))) | v84(constB63, bitIndex0) | (~v84(constB62, bitIndex0))),
% 8.71/6.24 inference(tautology,[status(thm)],[])).
% 8.71/6.24 tff(15006,plain,
% 8.71/6.24 (v84(constB63, bitIndex0)),
% 8.71/6.24 inference(unit_resolution,[status(thm)],[15005, 15004, 14979])).
% 8.71/6.24 tff(15007,plain,
% 8.71/6.24 (((~![B: $i] : ((~less_3(B)) | (v84(constB63, B) <=> v84(constB62, B)))) | ((~less_3(bitIndex1)) | (v84(constB63, bitIndex1) <=> v84(constB62, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB63, B) <=> v84(constB62, B)))) | (~less_3(bitIndex1)) | (v84(constB63, bitIndex1) <=> v84(constB62, bitIndex1)))),
% 8.71/6.24 inference(rewrite,[status(thm)],[])).
% 8.71/6.24 tff(15008,plain,
% 8.71/6.24 ((~![B: $i] : ((~less_3(B)) | (v84(constB63, B) <=> v84(constB62, B)))) | ((~less_3(bitIndex1)) | (v84(constB63, bitIndex1) <=> v84(constB62, bitIndex1)))),
% 8.71/6.24 inference(quant_inst,[status(thm)],[])).
% 8.71/6.24 tff(15009,plain,
% 8.71/6.24 ((~![B: $i] : ((~less_3(B)) | (v84(constB63, B) <=> v84(constB62, B)))) | (~less_3(bitIndex1)) | (v84(constB63, bitIndex1) <=> v84(constB62, bitIndex1))),
% 8.71/6.24 inference(modus_ponens,[status(thm)],[15008, 15007])).
% 8.71/6.24 tff(15010,plain,
% 8.71/6.24 (v84(constB63, bitIndex1) <=> v84(constB62, bitIndex1)),
% 8.71/6.24 inference(unit_resolution,[status(thm)],[15009, 9785, 6929])).
% 8.71/6.24 tff(15011,plain,
% 8.71/6.24 (((~![B: $i] : ((~less_3(B)) | (v84(constB62, B) <=> v123(constB62, B)))) | ((~less_3(bitIndex1)) | (v84(constB62, bitIndex1) <=> v123(constB62, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB62, B) <=> v123(constB62, B)))) | (~less_3(bitIndex1)) | (v84(constB62, bitIndex1) <=> v123(constB62, bitIndex1)))),
% 8.71/6.24 inference(rewrite,[status(thm)],[])).
% 8.71/6.24 tff(15012,plain,
% 8.71/6.24 ((~![B: $i] : ((~less_3(B)) | (v84(constB62, B) <=> v123(constB62, B)))) | ((~less_3(bitIndex1)) | (v84(constB62, bitIndex1) <=> v123(constB62, bitIndex1)))),
% 8.71/6.24 inference(quant_inst,[status(thm)],[])).
% 8.71/6.24 tff(15013,plain,
% 8.71/6.24 ((~![B: $i] : ((~less_3(B)) | (v84(constB62, B) <=> v123(constB62, B)))) | (~less_3(bitIndex1)) | (v84(constB62, bitIndex1) <=> v123(constB62, bitIndex1))),
% 8.71/6.24 inference(modus_ponens,[status(thm)],[15012, 15011])).
% 8.71/6.24 tff(15014,plain,
% 8.71/6.24 (v84(constB62, bitIndex1) <=> v123(constB62, bitIndex1)),
% 8.71/6.24 inference(unit_resolution,[status(thm)],[15013, 9785, 14876])).
% 8.71/6.24 tff(15015,plain,
% 8.71/6.24 (((~![B: $i] : ((~less_3(B)) | (v123(constB62, B) <=> v121(constB61, B)))) | ((~less_3(bitIndex1)) | (v123(constB62, bitIndex1) <=> v121(constB61, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB62, B) <=> v121(constB61, B)))) | (~less_3(bitIndex1)) | (v123(constB62, bitIndex1) <=> v121(constB61, bitIndex1)))),
% 8.71/6.24 inference(rewrite,[status(thm)],[])).
% 8.71/6.24 tff(15016,plain,
% 8.71/6.24 ((~![B: $i] : ((~less_3(B)) | (v123(constB62, B) <=> v121(constB61, B)))) | ((~less_3(bitIndex1)) | (v123(constB62, bitIndex1) <=> v121(constB61, bitIndex1)))),
% 8.71/6.24 inference(quant_inst,[status(thm)],[])).
% 8.71/6.24 tff(15017,plain,
% 8.71/6.24 ((~![B: $i] : ((~less_3(B)) | (v123(constB62, B) <=> v121(constB61, B)))) | (~less_3(bitIndex1)) | (v123(constB62, bitIndex1) <=> v121(constB61, bitIndex1))),
% 8.71/6.24 inference(modus_ponens,[status(thm)],[15016, 15015])).
% 8.71/6.24 tff(15018,plain,
% 8.71/6.24 (v123(constB62, bitIndex1) <=> v121(constB61, bitIndex1)),
% 8.71/6.24 inference(unit_resolution,[status(thm)],[15017, 9785, 14884])).
% 8.71/6.24 tff(15019,plain,
% 8.71/6.24 (((~![B: $i] : ((~less_3(B)) | (v121(constB61, B) <=> v124(constB61, B)))) | ((~less_3(bitIndex1)) | (v121(constB61, bitIndex1) <=> v124(constB61, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB61, B) <=> v124(constB61, B)))) | (~less_3(bitIndex1)) | (v121(constB61, bitIndex1) <=> v124(constB61, bitIndex1)))),
% 8.71/6.24 inference(rewrite,[status(thm)],[])).
% 8.71/6.24 tff(15020,plain,
% 8.71/6.24 ((~![B: $i] : ((~less_3(B)) | (v121(constB61, B) <=> v124(constB61, B)))) | ((~less_3(bitIndex1)) | (v121(constB61, bitIndex1) <=> v124(constB61, bitIndex1)))),
% 8.71/6.24 inference(quant_inst,[status(thm)],[])).
% 8.71/6.24 tff(15021,plain,
% 8.71/6.24 ((~![B: $i] : ((~less_3(B)) | (v121(constB61, B) <=> v124(constB61, B)))) | (~less_3(bitIndex1)) | (v121(constB61, bitIndex1) <=> v124(constB61, bitIndex1))),
% 8.71/6.24 inference(modus_ponens,[status(thm)],[15020, 15019])).
% 8.71/6.24 tff(15022,plain,
% 8.71/6.24 (v121(constB61, bitIndex1) <=> v124(constB61, bitIndex1)),
% 8.71/6.24 inference(unit_resolution,[status(thm)],[15021, 9785, 14892])).
% 8.71/6.24 tff(15023,plain,
% 8.71/6.24 (((~![B: $i] : ((~less_3(B)) | (v124(constB61, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v124(constB61, bitIndex1) <=> b001(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB61, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v124(constB61, bitIndex1) <=> b001(bitIndex1)))),
% 8.71/6.24 inference(rewrite,[status(thm)],[])).
% 8.71/6.24 tff(15024,plain,
% 8.71/6.24 ((~![B: $i] : ((~less_3(B)) | (v124(constB61, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v124(constB61, bitIndex1) <=> b001(bitIndex1)))),
% 8.71/6.24 inference(quant_inst,[status(thm)],[])).
% 8.71/6.24 tff(15025,plain,
% 8.71/6.24 ((~![B: $i] : ((~less_3(B)) | (v124(constB61, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v124(constB61, bitIndex1) <=> b001(bitIndex1))),
% 8.71/6.24 inference(modus_ponens,[status(thm)],[15024, 15023])).
% 8.71/6.24 tff(15026,plain,
% 8.71/6.24 (v124(constB61, bitIndex1) <=> b001(bitIndex1)),
% 8.71/6.24 inference(unit_resolution,[status(thm)],[15025, 9785, 14960])).
% 8.71/6.24 tff(15027,plain,
% 8.71/6.24 ((~(v124(constB61, bitIndex1) <=> b001(bitIndex1))) | (~v124(constB61, bitIndex1)) | b001(bitIndex1)),
% 8.71/6.24 inference(tautology,[status(thm)],[])).
% 8.71/6.24 tff(15028,plain,
% 8.71/6.24 ((~(v124(constB61, bitIndex1) <=> b001(bitIndex1))) | (~v124(constB61, bitIndex1))),
% 8.71/6.24 inference(unit_resolution,[status(thm)],[15027, 10045])).
% 8.71/6.24 tff(15029,plain,
% 8.71/6.24 (~v124(constB61, bitIndex1)),
% 8.71/6.24 inference(unit_resolution,[status(thm)],[15028, 15026])).
% 8.71/6.24 tff(15030,plain,
% 8.71/6.24 ((~(v121(constB61, bitIndex1) <=> v124(constB61, bitIndex1))) | (~v121(constB61, bitIndex1)) | v124(constB61, bitIndex1)),
% 8.71/6.24 inference(tautology,[status(thm)],[])).
% 8.71/6.24 tff(15031,plain,
% 8.71/6.24 (~v121(constB61, bitIndex1)),
% 8.71/6.24 inference(unit_resolution,[status(thm)],[15030, 15029, 15022])).
% 8.71/6.24 tff(15032,plain,
% 8.71/6.24 ((~(v123(constB62, bitIndex1) <=> v121(constB61, bitIndex1))) | (~v123(constB62, bitIndex1)) | v121(constB61, bitIndex1)),
% 8.71/6.24 inference(tautology,[status(thm)],[])).
% 8.71/6.24 tff(15033,plain,
% 8.71/6.24 (~v123(constB62, bitIndex1)),
% 8.71/6.24 inference(unit_resolution,[status(thm)],[15032, 15031, 15018])).
% 8.71/6.24 tff(15034,plain,
% 8.71/6.24 ((~(v84(constB62, bitIndex1) <=> v123(constB62, bitIndex1))) | (~v84(constB62, bitIndex1)) | v123(constB62, bitIndex1)),
% 8.71/6.24 inference(tautology,[status(thm)],[])).
% 8.71/6.24 tff(15035,plain,
% 8.71/6.24 (~v84(constB62, bitIndex1)),
% 8.71/6.24 inference(unit_resolution,[status(thm)],[15034, 15033, 15014])).
% 8.71/6.24 tff(15036,plain,
% 8.71/6.24 ((~(v84(constB63, bitIndex1) <=> v84(constB62, bitIndex1))) | (~v84(constB63, bitIndex1)) | v84(constB62, bitIndex1)),
% 8.71/6.24 inference(tautology,[status(thm)],[])).
% 8.71/6.24 tff(15037,plain,
% 8.71/6.24 (~v84(constB63, bitIndex1)),
% 8.71/6.24 inference(unit_resolution,[status(thm)],[15036, 15035, 15010])).
% 8.71/6.24 tff(15038,plain,
% 8.71/6.24 ((~(v84(constB63, bitIndex2) | v84(constB63, bitIndex1) | (~v84(constB63, bitIndex0)))) | v84(constB63, bitIndex2) | v84(constB63, bitIndex1) | (~v84(constB63, bitIndex0))),
% 8.71/6.24 inference(tautology,[status(thm)],[])).
% 8.71/6.24 tff(15039,plain,
% 8.71/6.24 (~(v84(constB63, bitIndex2) | v84(constB63, bitIndex1) | (~v84(constB63, bitIndex0)))),
% 8.71/6.24 inference(unit_resolution,[status(thm)],[15038, 15037, 15006, 14975])).
% 8.71/6.24 tff(15040,plain,
% 8.71/6.24 ((~(v114(constB63) <=> (~(v84(constB63, bitIndex2) | v84(constB63, bitIndex1) | (~v84(constB63, bitIndex0)))))) | v114(constB63) | (v84(constB63, bitIndex2) | v84(constB63, bitIndex1) | (~v84(constB63, bitIndex0)))),
% 8.71/6.24 inference(tautology,[status(thm)],[])).
% 8.71/6.24 tff(15041,plain,
% 8.71/6.24 (v114(constB63)),
% 8.71/6.24 inference(unit_resolution,[status(thm)],[15040, 15039, 6901])).
% 8.71/6.24 tff(15042,plain,
% 8.71/6.24 ((v113(constB63) | v114(constB63)) | (~v114(constB63))),
% 8.71/6.24 inference(tautology,[status(thm)],[])).
% 8.71/6.24 tff(15043,plain,
% 8.71/6.24 (v113(constB63) | v114(constB63)),
% 8.71/6.24 inference(unit_resolution,[status(thm)],[15042, 15041])).
% 8.71/6.24 tff(15044,plain,
% 8.71/6.24 ((~(v112(constB63) <=> (v113(constB63) | v114(constB63)))) | v112(constB63) | (~(v113(constB63) | v114(constB63)))),
% 8.71/6.24 inference(tautology,[status(thm)],[])).
% 8.71/6.24 tff(15045,plain,
% 8.71/6.24 (v112(constB63)),
% 8.71/6.24 inference(unit_resolution,[status(thm)],[15044, 15043, 6894])).
% 8.71/6.24 tff(15046,plain,
% 8.71/6.24 ((v112(constB63) | v115(constB63)) | (~v112(constB63))),
% 8.71/6.24 inference(tautology,[status(thm)],[])).
% 8.71/6.24 tff(15047,plain,
% 8.71/6.24 (v112(constB63) | v115(constB63)),
% 8.71/6.24 inference(unit_resolution,[status(thm)],[15046, 15045])).
% 8.71/6.24 tff(15048,plain,
% 8.71/6.24 ((~(v111(constB63) <=> (v112(constB63) | v115(constB63)))) | v111(constB63) | (~(v112(constB63) | v115(constB63)))),
% 8.71/6.24 inference(tautology,[status(thm)],[])).
% 8.71/6.24 tff(15049,plain,
% 8.71/6.24 (v111(constB63)),
% 8.71/6.24 inference(unit_resolution,[status(thm)],[15048, 15047, 6892])).
% 8.71/6.24 tff(15050,plain,
% 8.71/6.24 ((v111(constB63) | v116(constB63)) | (~v111(constB63))),
% 8.71/6.24 inference(tautology,[status(thm)],[])).
% 8.71/6.24 tff(15051,plain,
% 8.71/6.24 (v111(constB63) | v116(constB63)),
% 8.71/6.24 inference(unit_resolution,[status(thm)],[15050, 15049])).
% 8.71/6.24 tff(15052,plain,
% 8.71/6.24 ((~(v110(constB63) <=> (v111(constB63) | v116(constB63)))) | v110(constB63) | (~(v111(constB63) | v116(constB63)))),
% 8.71/6.24 inference(tautology,[status(thm)],[])).
% 8.71/6.24 tff(15053,plain,
% 8.71/6.24 (v110(constB63)),
% 8.71/6.24 inference(unit_resolution,[status(thm)],[15052, 15051, 6890])).
% 8.71/6.24 tff(15054,plain,
% 8.71/6.24 ((v110(constB63) | v117(constB63)) | (~v110(constB63))),
% 8.71/6.24 inference(tautology,[status(thm)],[])).
% 8.71/6.24 tff(15055,plain,
% 8.71/6.24 (v110(constB63) | v117(constB63)),
% 8.71/6.24 inference(unit_resolution,[status(thm)],[15054, 15053])).
% 8.71/6.24 tff(15056,plain,
% 8.71/6.24 ((~(v109(constB63) <=> (v110(constB63) | v117(constB63)))) | v109(constB63) | (~(v110(constB63) | v117(constB63)))),
% 8.71/6.24 inference(tautology,[status(thm)],[])).
% 8.71/6.24 tff(15057,plain,
% 8.71/6.24 (v109(constB63)),
% 8.71/6.24 inference(unit_resolution,[status(thm)],[15056, 15055, 6888])).
% 8.71/6.24 tff(15058,plain,
% 8.71/6.24 ((v109(constB63) | v118(constB63)) | (~v109(constB63))),
% 8.71/6.24 inference(tautology,[status(thm)],[])).
% 8.71/6.24 tff(15059,plain,
% 8.71/6.24 (v109(constB63) | v118(constB63)),
% 8.71/6.24 inference(unit_resolution,[status(thm)],[15058, 15057])).
% 8.71/6.24 tff(15060,plain,
% 8.71/6.24 ((~(v108(constB63) <=> (v109(constB63) | v118(constB63)))) | v108(constB63) | (~(v109(constB63) | v118(constB63)))),
% 8.71/6.24 inference(tautology,[status(thm)],[])).
% 8.71/6.24 tff(15061,plain,
% 8.71/6.24 (v108(constB63)),
% 8.71/6.24 inference(unit_resolution,[status(thm)],[15060, 15059, 6886])).
% 8.71/6.24 tff(15062,plain,
% 8.71/6.24 ((v108(constB63) | v119(constB63)) | (~v108(constB63))),
% 8.71/6.24 inference(tautology,[status(thm)],[])).
% 8.71/6.24 tff(15063,plain,
% 8.71/6.24 (v108(constB63) | v119(constB63)),
% 8.71/6.24 inference(unit_resolution,[status(thm)],[15062, 15061])).
% 8.71/6.24 tff(15064,plain,
% 8.71/6.24 ((~(v107(constB63) <=> (v108(constB63) | v119(constB63)))) | v107(constB63) | (~(v108(constB63) | v119(constB63)))),
% 8.71/6.24 inference(tautology,[status(thm)],[])).
% 8.71/6.24 tff(15065,plain,
% 8.71/6.24 (v107(constB63)),
% 8.71/6.24 inference(unit_resolution,[status(thm)],[15064, 15063, 6884])).
% 8.71/6.24 tff(15066,plain,
% 8.71/6.24 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB63)) <=> v105(constB63))),
% 8.71/6.24 inference(quant_inst,[status(thm)],[])).
% 8.71/6.24 tff(15067,plain,
% 8.71/6.24 ((~v120(constB63)) <=> v105(constB63)),
% 8.71/6.24 inference(unit_resolution,[status(thm)],[15066, 9842])).
% 8.71/6.24 tff(15068,plain,
% 8.71/6.24 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB63) <=> v26(constB63))),
% 8.71/6.24 inference(quant_inst,[status(thm)],[])).
% 8.71/6.24 tff(15069,plain,
% 8.71/6.24 (v105(constB63) <=> v26(constB63)),
% 8.71/6.24 inference(unit_resolution,[status(thm)],[15068, 9854])).
% 8.71/6.24 tff(15070,plain,
% 8.71/6.24 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB63))),
% 8.71/6.24 inference(quant_inst,[status(thm)],[])).
% 8.71/6.24 tff(15071,plain,
% 8.71/6.24 (~v26(constB63)),
% 8.71/6.24 inference(unit_resolution,[status(thm)],[15070, 9866])).
% 8.71/6.24 tff(15072,plain,
% 8.71/6.24 ((~(v105(constB63) <=> v26(constB63))) | (~v105(constB63)) | v26(constB63)),
% 8.71/6.24 inference(tautology,[status(thm)],[])).
% 8.71/6.24 tff(15073,plain,
% 8.71/6.24 ((~(v105(constB63) <=> v26(constB63))) | (~v105(constB63))),
% 8.71/6.24 inference(unit_resolution,[status(thm)],[15072, 15071])).
% 8.71/6.24 tff(15074,plain,
% 8.71/6.24 (~v105(constB63)),
% 8.71/6.24 inference(unit_resolution,[status(thm)],[15073, 15069])).
% 8.71/6.24 tff(15075,plain,
% 8.71/6.24 ((~((~v120(constB63)) <=> v105(constB63))) | v120(constB63) | v105(constB63)),
% 8.71/6.24 inference(tautology,[status(thm)],[])).
% 8.71/6.24 tff(15076,plain,
% 8.71/6.24 ((~((~v120(constB63)) <=> v105(constB63))) | v120(constB63)),
% 8.71/6.24 inference(unit_resolution,[status(thm)],[15075, 15074])).
% 8.71/6.24 tff(15077,plain,
% 8.71/6.24 (v120(constB63)),
% 8.71/6.24 inference(unit_resolution,[status(thm)],[15076, 15067])).
% 8.71/6.24 tff(15078,plain,
% 8.71/6.24 ((~((~v107(constB63)) | (~v120(constB63)))) | (~v107(constB63)) | (~v120(constB63))),
% 8.71/6.24 inference(tautology,[status(thm)],[])).
% 8.71/6.24 tff(15079,plain,
% 8.71/6.24 ((~((~v107(constB63)) | (~v120(constB63)))) | (~v107(constB63))),
% 8.71/6.24 inference(unit_resolution,[status(thm)],[15078, 15077])).
% 8.71/6.24 tff(15080,plain,
% 8.71/6.24 (~((~v107(constB63)) | (~v120(constB63)))),
% 8.71/6.24 inference(unit_resolution,[status(thm)],[15079, 15065])).
% 8.71/6.24 tff(15081,plain,
% 8.71/6.24 ((~(v106(constB63) <=> (~((~v107(constB63)) | (~v120(constB63)))))) | v106(constB63) | ((~v107(constB63)) | (~v120(constB63)))),
% 8.71/6.24 inference(tautology,[status(thm)],[])).
% 8.71/6.24 tff(15082,plain,
% 8.71/6.24 (v106(constB63)),
% 8.71/6.24 inference(unit_resolution,[status(thm)],[15081, 15080, 6882])).
% 8.71/6.24 tff(15083,plain,
% 8.71/6.24 ((v105(constB63) | v106(constB63)) | (~v106(constB63))),
% 8.71/6.24 inference(tautology,[status(thm)],[])).
% 8.71/6.24 tff(15084,plain,
% 8.71/6.24 (v105(constB63) | v106(constB63)),
% 8.71/6.24 inference(unit_resolution,[status(thm)],[15083, 15082])).
% 8.71/6.24 tff(15085,plain,
% 8.71/6.24 ((~(v102(constB63) <=> (v105(constB63) | v106(constB63)))) | v102(constB63) | (~(v105(constB63) | v106(constB63)))),
% 8.71/6.24 inference(tautology,[status(thm)],[])).
% 8.71/6.24 tff(15086,plain,
% 8.71/6.24 (v102(constB63)),
% 8.71/6.24 inference(unit_resolution,[status(thm)],[15085, 15084, 6880])).
% 8.71/6.24 tff(15087,plain,
% 8.71/6.24 ((~(v104(constB64) <=> v102(constB63))) | v104(constB64) | (~v102(constB63))),
% 8.71/6.24 inference(tautology,[status(thm)],[])).
% 8.71/6.24 tff(15088,plain,
% 8.71/6.24 (v104(constB64)),
% 8.71/6.24 inference(unit_resolution,[status(thm)],[15087, 15086, 6878])).
% 8.71/6.24 tff(15089,plain,
% 8.71/6.24 ((~((~v104(constB64)) | (~v95(constB64)))) | (~v104(constB64)) | (~v95(constB64))),
% 8.71/6.24 inference(tautology,[status(thm)],[])).
% 8.71/6.24 tff(15090,plain,
% 8.71/6.24 (~((~v104(constB64)) | (~v95(constB64)))),
% 8.71/6.24 inference(unit_resolution,[status(thm)],[15089, 15088, 6874])).
% 8.71/6.24 tff(15091,plain,
% 8.71/6.24 ((~(v94(constB64) <=> (~((~v104(constB64)) | (~v95(constB64)))))) | v94(constB64) | ((~v104(constB64)) | (~v95(constB64)))),
% 8.71/6.24 inference(tautology,[status(thm)],[])).
% 8.71/6.24 tff(15092,plain,
% 8.71/6.24 (v94(constB64)),
% 8.71/6.24 inference(unit_resolution,[status(thm)],[15091, 15090, 6843])).
% 8.71/6.24 tff(15093,plain,
% 8.71/6.24 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB64)) | ![B: $i] : ((~less_3(B)) | (v84(constB64, B) <=> v123(constB64, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB64)) | ![B: $i] : ((~less_3(B)) | (v84(constB64, B) <=> v123(constB64, B))))),
% 8.71/6.24 inference(rewrite,[status(thm)],[])).
% 8.71/6.24 tff(15094,plain,
% 8.71/6.24 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB64)) | ![B: $i] : ((~less_3(B)) | (v84(constB64, B) <=> v123(constB64, B))))),
% 8.71/6.24 inference(quant_inst,[status(thm)],[])).
% 8.71/6.24 tff(15095,plain,
% 8.71/6.24 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB64)) | ![B: $i] : ((~less_3(B)) | (v84(constB64, B) <=> v123(constB64, B)))),
% 8.71/6.24 inference(modus_ponens,[status(thm)],[15094, 15093])).
% 8.71/6.24 tff(15096,plain,
% 8.71/6.24 ((~v94(constB64)) | ![B: $i] : ((~less_3(B)) | (v84(constB64, B) <=> v123(constB64, B)))),
% 8.71/6.24 inference(unit_resolution,[status(thm)],[15095, 9902])).
% 8.71/6.24 tff(15097,plain,
% 8.71/6.24 (![B: $i] : ((~less_3(B)) | (v84(constB64, B) <=> v123(constB64, B)))),
% 8.71/6.24 inference(unit_resolution,[status(thm)],[15096, 15092])).
% 8.71/6.24 tff(15098,plain,
% 8.71/6.24 (((~![B: $i] : ((~less_3(B)) | (v84(constB64, B) <=> v123(constB64, B)))) | ((~less_3(bitIndex2)) | (v84(constB64, bitIndex2) <=> v123(constB64, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB64, B) <=> v123(constB64, B)))) | (~less_3(bitIndex2)) | (v84(constB64, bitIndex2) <=> v123(constB64, bitIndex2)))),
% 8.71/6.24 inference(rewrite,[status(thm)],[])).
% 8.71/6.24 tff(15099,plain,
% 8.71/6.24 ((~![B: $i] : ((~less_3(B)) | (v84(constB64, B) <=> v123(constB64, B)))) | ((~less_3(bitIndex2)) | (v84(constB64, bitIndex2) <=> v123(constB64, bitIndex2)))),
% 8.71/6.24 inference(quant_inst,[status(thm)],[])).
% 8.71/6.24 tff(15100,plain,
% 8.71/6.24 ((~![B: $i] : ((~less_3(B)) | (v84(constB64, B) <=> v123(constB64, B)))) | (~less_3(bitIndex2)) | (v84(constB64, bitIndex2) <=> v123(constB64, bitIndex2))),
% 8.71/6.24 inference(modus_ponens,[status(thm)],[15099, 15098])).
% 8.71/6.24 tff(15101,plain,
% 8.71/6.24 (v84(constB64, bitIndex2) <=> v123(constB64, bitIndex2)),
% 8.71/6.24 inference(unit_resolution,[status(thm)],[15100, 832, 15097])).
% 8.71/6.24 tff(15102,plain,
% 8.71/6.24 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB63, constB64)) | ![B: $i] : ((~less_3(B)) | (v123(constB64, B) <=> v121(constB63, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB63, constB64)) | ![B: $i] : ((~less_3(B)) | (v123(constB64, B) <=> v121(constB63, B))))),
% 8.71/6.24 inference(rewrite,[status(thm)],[])).
% 8.71/6.24 tff(15103,plain,
% 8.71/6.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB63, constB64)) | ![B: $i] : ((~less_3(B)) | (v123(constB64, B) <=> v121(constB63, B))))),
% 8.71/6.24 inference(quant_inst,[status(thm)],[])).
% 8.71/6.24 tff(15104,plain,
% 8.71/6.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB63, constB64)) | ![B: $i] : ((~less_3(B)) | (v123(constB64, B) <=> v121(constB63, B)))),
% 8.71/6.24 inference(modus_ponens,[status(thm)],[15103, 15102])).
% 8.71/6.24 tff(15105,plain,
% 8.71/6.24 (![B: $i] : ((~less_3(B)) | (v123(constB64, B) <=> v121(constB63, B)))),
% 8.71/6.24 inference(unit_resolution,[status(thm)],[15104, 6839, 9924])).
% 8.71/6.24 tff(15106,plain,
% 8.71/6.24 (((~![B: $i] : ((~less_3(B)) | (v123(constB64, B) <=> v121(constB63, B)))) | ((~less_3(bitIndex2)) | (v123(constB64, bitIndex2) <=> v121(constB63, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB64, B) <=> v121(constB63, B)))) | (~less_3(bitIndex2)) | (v123(constB64, bitIndex2) <=> v121(constB63, bitIndex2)))),
% 8.71/6.24 inference(rewrite,[status(thm)],[])).
% 8.71/6.24 tff(15107,plain,
% 8.71/6.24 ((~![B: $i] : ((~less_3(B)) | (v123(constB64, B) <=> v121(constB63, B)))) | ((~less_3(bitIndex2)) | (v123(constB64, bitIndex2) <=> v121(constB63, bitIndex2)))),
% 8.71/6.24 inference(quant_inst,[status(thm)],[])).
% 8.71/6.24 tff(15108,plain,
% 8.71/6.24 ((~![B: $i] : ((~less_3(B)) | (v123(constB64, B) <=> v121(constB63, B)))) | (~less_3(bitIndex2)) | (v123(constB64, bitIndex2) <=> v121(constB63, bitIndex2))),
% 8.71/6.24 inference(modus_ponens,[status(thm)],[15107, 15106])).
% 8.71/6.24 tff(15109,plain,
% 8.71/6.24 (v123(constB64, bitIndex2) <=> v121(constB63, bitIndex2)),
% 8.71/6.24 inference(unit_resolution,[status(thm)],[15108, 832, 15105])).
% 8.71/6.24 tff(15110,plain,
% 8.71/6.24 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB63) | ![B: $i] : ((~less_3(B)) | (v121(constB63, B) <=> v124(constB63, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB63) | ![B: $i] : ((~less_3(B)) | (v121(constB63, B) <=> v124(constB63, B))))),
% 8.71/6.24 inference(rewrite,[status(thm)],[])).
% 8.71/6.24 tff(15111,plain,
% 8.71/6.24 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB63) | ![B: $i] : ((~less_3(B)) | (v121(constB63, B) <=> v124(constB63, B))))),
% 8.71/6.24 inference(quant_inst,[status(thm)],[])).
% 8.71/6.24 tff(15112,plain,
% 8.71/6.24 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB63) | ![B: $i] : ((~less_3(B)) | (v121(constB63, B) <=> v124(constB63, B)))),
% 8.71/6.24 inference(modus_ponens,[status(thm)],[15111, 15110])).
% 8.71/6.24 tff(15113,plain,
% 8.71/6.24 (![B: $i] : ((~less_3(B)) | (v121(constB63, B) <=> v124(constB63, B)))),
% 8.71/6.24 inference(unit_resolution,[status(thm)],[15112, 9945, 15074])).
% 8.71/6.24 tff(15114,plain,
% 8.71/6.24 (((~![B: $i] : ((~less_3(B)) | (v121(constB63, B) <=> v124(constB63, B)))) | ((~less_3(bitIndex2)) | (v121(constB63, bitIndex2) <=> v124(constB63, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB63, B) <=> v124(constB63, B)))) | (~less_3(bitIndex2)) | (v121(constB63, bitIndex2) <=> v124(constB63, bitIndex2)))),
% 8.71/6.24 inference(rewrite,[status(thm)],[])).
% 8.71/6.24 tff(15115,plain,
% 8.71/6.24 ((~![B: $i] : ((~less_3(B)) | (v121(constB63, B) <=> v124(constB63, B)))) | ((~less_3(bitIndex2)) | (v121(constB63, bitIndex2) <=> v124(constB63, bitIndex2)))),
% 8.71/6.24 inference(quant_inst,[status(thm)],[])).
% 8.71/6.24 tff(15116,plain,
% 8.71/6.24 ((~![B: $i] : ((~less_3(B)) | (v121(constB63, B) <=> v124(constB63, B)))) | (~less_3(bitIndex2)) | (v121(constB63, bitIndex2) <=> v124(constB63, bitIndex2))),
% 8.71/6.24 inference(modus_ponens,[status(thm)],[15115, 15114])).
% 8.71/6.24 tff(15117,plain,
% 8.71/6.24 (v121(constB63, bitIndex2) <=> v124(constB63, bitIndex2)),
% 8.71/6.24 inference(unit_resolution,[status(thm)],[15116, 832, 15113])).
% 8.71/6.24 tff(15118,plain,
% 8.71/6.24 (((~![VarCurr: $i] : ((~v114(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b010(B))))) | ((~v114(constB63)) | ![B: $i] : ((~less_3(B)) | (v124(constB63, B) <=> b010(B))))) <=> ((~![VarCurr: $i] : ((~v114(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b010(B))))) | (~v114(constB63)) | ![B: $i] : ((~less_3(B)) | (v124(constB63, B) <=> b010(B))))),
% 8.71/6.24 inference(rewrite,[status(thm)],[])).
% 8.71/6.24 tff(15119,plain,
% 8.71/6.24 ((~![VarCurr: $i] : ((~v114(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b010(B))))) | ((~v114(constB63)) | ![B: $i] : ((~less_3(B)) | (v124(constB63, B) <=> b010(B))))),
% 8.71/6.24 inference(quant_inst,[status(thm)],[])).
% 8.71/6.24 tff(15120,plain,
% 8.71/6.24 ((~![VarCurr: $i] : ((~v114(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b010(B))))) | (~v114(constB63)) | ![B: $i] : ((~less_3(B)) | (v124(constB63, B) <=> b010(B)))),
% 8.71/6.24 inference(modus_ponens,[status(thm)],[15119, 15118])).
% 8.71/6.24 tff(15121,plain,
% 8.71/6.24 ((~v114(constB63)) | ![B: $i] : ((~less_3(B)) | (v124(constB63, B) <=> b010(B)))),
% 8.71/6.24 inference(unit_resolution,[status(thm)],[15120, 10149])).
% 8.71/6.24 tff(15122,plain,
% 8.71/6.24 (![B: $i] : ((~less_3(B)) | (v124(constB63, B) <=> b010(B)))),
% 8.71/6.24 inference(unit_resolution,[status(thm)],[15121, 15041])).
% 8.71/6.24 tff(15123,plain,
% 8.71/6.24 (((~![B: $i] : ((~less_3(B)) | (v124(constB63, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v124(constB63, bitIndex2) <=> b010(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB63, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v124(constB63, bitIndex2) <=> b010(bitIndex2)))),
% 8.71/6.24 inference(rewrite,[status(thm)],[])).
% 8.71/6.24 tff(15124,plain,
% 8.71/6.24 ((~![B: $i] : ((~less_3(B)) | (v124(constB63, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v124(constB63, bitIndex2) <=> b010(bitIndex2)))),
% 8.71/6.24 inference(quant_inst,[status(thm)],[])).
% 8.71/6.24 tff(15125,plain,
% 8.71/6.24 ((~![B: $i] : ((~less_3(B)) | (v124(constB63, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v124(constB63, bitIndex2) <=> b010(bitIndex2))),
% 8.71/6.24 inference(modus_ponens,[status(thm)],[15124, 15123])).
% 8.71/6.24 tff(15126,plain,
% 8.71/6.24 (v124(constB63, bitIndex2) <=> b010(bitIndex2)),
% 8.71/6.24 inference(unit_resolution,[status(thm)],[15125, 832, 15122])).
% 8.71/6.24 tff(15127,plain,
% 8.71/6.24 ((~(v124(constB63, bitIndex2) <=> b010(bitIndex2))) | (~v124(constB63, bitIndex2)) | b010(bitIndex2)),
% 8.71/6.24 inference(tautology,[status(thm)],[])).
% 8.71/6.24 tff(15128,plain,
% 8.71/6.24 ((~(v124(constB63, bitIndex2) <=> b010(bitIndex2))) | (~v124(constB63, bitIndex2))),
% 8.71/6.24 inference(unit_resolution,[status(thm)],[15127, 10161])).
% 8.71/6.24 tff(15129,plain,
% 8.71/6.24 (~v124(constB63, bitIndex2)),
% 8.71/6.24 inference(unit_resolution,[status(thm)],[15128, 15126])).
% 8.71/6.24 tff(15130,plain,
% 8.71/6.24 ((~(v121(constB63, bitIndex2) <=> v124(constB63, bitIndex2))) | (~v121(constB63, bitIndex2)) | v124(constB63, bitIndex2)),
% 8.71/6.24 inference(tautology,[status(thm)],[])).
% 8.71/6.24 tff(15131,plain,
% 8.71/6.24 (~v121(constB63, bitIndex2)),
% 8.71/6.24 inference(unit_resolution,[status(thm)],[15130, 15129, 15117])).
% 8.71/6.24 tff(15132,plain,
% 8.71/6.24 ((~(v123(constB64, bitIndex2) <=> v121(constB63, bitIndex2))) | (~v123(constB64, bitIndex2)) | v121(constB63, bitIndex2)),
% 8.71/6.24 inference(tautology,[status(thm)],[])).
% 8.71/6.24 tff(15133,plain,
% 8.71/6.24 (~v123(constB64, bitIndex2)),
% 8.71/6.24 inference(unit_resolution,[status(thm)],[15132, 15131, 15109])).
% 8.71/6.24 tff(15134,plain,
% 8.71/6.24 ((~(v84(constB64, bitIndex2) <=> v123(constB64, bitIndex2))) | (~v84(constB64, bitIndex2)) | v123(constB64, bitIndex2)),
% 8.71/6.24 inference(tautology,[status(thm)],[])).
% 8.71/6.24 tff(15135,plain,
% 8.71/6.24 (~v84(constB64, bitIndex2)),
% 8.71/6.24 inference(unit_resolution,[status(thm)],[15134, 15133, 15101])).
% 8.71/6.24 tff(15136,plain,
% 8.71/6.24 ((~(v84(constB65, bitIndex2) <=> v84(constB64, bitIndex2))) | (~v84(constB65, bitIndex2)) | v84(constB64, bitIndex2)),
% 8.71/6.24 inference(tautology,[status(thm)],[])).
% 8.71/6.24 tff(15137,plain,
% 8.71/6.24 (~v84(constB65, bitIndex2)),
% 8.71/6.24 inference(unit_resolution,[status(thm)],[15136, 15135, 6836])).
% 8.71/6.24 tff(15138,plain,
% 8.71/6.24 (((~![B: $i] : ((~less_3(B)) | (v84(constB65, B) <=> v84(constB64, B)))) | ((~less_3(bitIndex0)) | (v84(constB65, bitIndex0) <=> v84(constB64, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB65, B) <=> v84(constB64, B)))) | (~less_3(bitIndex0)) | (v84(constB65, bitIndex0) <=> v84(constB64, bitIndex0)))),
% 8.71/6.24 inference(rewrite,[status(thm)],[])).
% 8.71/6.24 tff(15139,plain,
% 8.71/6.24 ((~![B: $i] : ((~less_3(B)) | (v84(constB65, B) <=> v84(constB64, B)))) | ((~less_3(bitIndex0)) | (v84(constB65, bitIndex0) <=> v84(constB64, bitIndex0)))),
% 8.71/6.24 inference(quant_inst,[status(thm)],[])).
% 8.71/6.24 tff(15140,plain,
% 8.71/6.24 ((~![B: $i] : ((~less_3(B)) | (v84(constB65, B) <=> v84(constB64, B)))) | (~less_3(bitIndex0)) | (v84(constB65, bitIndex0) <=> v84(constB64, bitIndex0))),
% 8.71/6.24 inference(modus_ponens,[status(thm)],[15139, 15138])).
% 8.71/6.24 tff(15141,plain,
% 8.71/6.24 (v84(constB65, bitIndex0) <=> v84(constB64, bitIndex0)),
% 8.71/6.24 inference(unit_resolution,[status(thm)],[15140, 9772, 6832])).
% 8.71/6.24 tff(15142,plain,
% 8.71/6.24 (((~![B: $i] : ((~less_3(B)) | (v84(constB64, B) <=> v123(constB64, B)))) | ((~less_3(bitIndex0)) | (v84(constB64, bitIndex0) <=> v123(constB64, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB64, B) <=> v123(constB64, B)))) | (~less_3(bitIndex0)) | (v84(constB64, bitIndex0) <=> v123(constB64, bitIndex0)))),
% 8.71/6.24 inference(rewrite,[status(thm)],[])).
% 8.71/6.24 tff(15143,plain,
% 8.71/6.24 ((~![B: $i] : ((~less_3(B)) | (v84(constB64, B) <=> v123(constB64, B)))) | ((~less_3(bitIndex0)) | (v84(constB64, bitIndex0) <=> v123(constB64, bitIndex0)))),
% 8.71/6.24 inference(quant_inst,[status(thm)],[])).
% 8.71/6.24 tff(15144,plain,
% 8.71/6.24 ((~![B: $i] : ((~less_3(B)) | (v84(constB64, B) <=> v123(constB64, B)))) | (~less_3(bitIndex0)) | (v84(constB64, bitIndex0) <=> v123(constB64, bitIndex0))),
% 8.71/6.24 inference(modus_ponens,[status(thm)],[15143, 15142])).
% 8.71/6.24 tff(15145,plain,
% 8.71/6.24 (v84(constB64, bitIndex0) <=> v123(constB64, bitIndex0)),
% 8.71/6.24 inference(unit_resolution,[status(thm)],[15144, 9772, 15097])).
% 8.71/6.24 tff(15146,plain,
% 8.71/6.24 (((~![B: $i] : ((~less_3(B)) | (v123(constB64, B) <=> v121(constB63, B)))) | ((~less_3(bitIndex0)) | (v123(constB64, bitIndex0) <=> v121(constB63, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB64, B) <=> v121(constB63, B)))) | (~less_3(bitIndex0)) | (v123(constB64, bitIndex0) <=> v121(constB63, bitIndex0)))),
% 8.71/6.24 inference(rewrite,[status(thm)],[])).
% 8.71/6.24 tff(15147,plain,
% 8.71/6.24 ((~![B: $i] : ((~less_3(B)) | (v123(constB64, B) <=> v121(constB63, B)))) | ((~less_3(bitIndex0)) | (v123(constB64, bitIndex0) <=> v121(constB63, bitIndex0)))),
% 8.71/6.24 inference(quant_inst,[status(thm)],[])).
% 8.71/6.24 tff(15148,plain,
% 8.71/6.24 ((~![B: $i] : ((~less_3(B)) | (v123(constB64, B) <=> v121(constB63, B)))) | (~less_3(bitIndex0)) | (v123(constB64, bitIndex0) <=> v121(constB63, bitIndex0))),
% 8.71/6.24 inference(modus_ponens,[status(thm)],[15147, 15146])).
% 8.71/6.24 tff(15149,plain,
% 8.71/6.24 (v123(constB64, bitIndex0) <=> v121(constB63, bitIndex0)),
% 8.71/6.24 inference(unit_resolution,[status(thm)],[15148, 9772, 15105])).
% 8.71/6.24 tff(15150,plain,
% 8.71/6.24 (((~![B: $i] : ((~less_3(B)) | (v121(constB63, B) <=> v124(constB63, B)))) | ((~less_3(bitIndex0)) | (v121(constB63, bitIndex0) <=> v124(constB63, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB63, B) <=> v124(constB63, B)))) | (~less_3(bitIndex0)) | (v121(constB63, bitIndex0) <=> v124(constB63, bitIndex0)))),
% 8.71/6.24 inference(rewrite,[status(thm)],[])).
% 8.71/6.24 tff(15151,plain,
% 8.71/6.24 ((~![B: $i] : ((~less_3(B)) | (v121(constB63, B) <=> v124(constB63, B)))) | ((~less_3(bitIndex0)) | (v121(constB63, bitIndex0) <=> v124(constB63, bitIndex0)))),
% 8.71/6.24 inference(quant_inst,[status(thm)],[])).
% 8.71/6.24 tff(15152,plain,
% 8.71/6.24 ((~![B: $i] : ((~less_3(B)) | (v121(constB63, B) <=> v124(constB63, B)))) | (~less_3(bitIndex0)) | (v121(constB63, bitIndex0) <=> v124(constB63, bitIndex0))),
% 8.71/6.24 inference(modus_ponens,[status(thm)],[15151, 15150])).
% 8.71/6.24 tff(15153,plain,
% 8.71/6.24 (v121(constB63, bitIndex0) <=> v124(constB63, bitIndex0)),
% 8.71/6.24 inference(unit_resolution,[status(thm)],[15152, 9772, 15113])).
% 8.71/6.24 tff(15154,plain,
% 8.71/6.24 (((~![B: $i] : ((~less_3(B)) | (v124(constB63, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v124(constB63, bitIndex0) <=> b010(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB63, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v124(constB63, bitIndex0) <=> b010(bitIndex0)))),
% 8.71/6.24 inference(rewrite,[status(thm)],[])).
% 8.71/6.24 tff(15155,plain,
% 8.71/6.24 ((~![B: $i] : ((~less_3(B)) | (v124(constB63, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v124(constB63, bitIndex0) <=> b010(bitIndex0)))),
% 8.71/6.25 inference(quant_inst,[status(thm)],[])).
% 8.71/6.25 tff(15156,plain,
% 8.71/6.25 ((~![B: $i] : ((~less_3(B)) | (v124(constB63, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v124(constB63, bitIndex0) <=> b010(bitIndex0))),
% 8.71/6.25 inference(modus_ponens,[status(thm)],[15155, 15154])).
% 8.71/6.25 tff(15157,plain,
% 8.71/6.25 (v124(constB63, bitIndex0) <=> b010(bitIndex0)),
% 8.71/6.25 inference(unit_resolution,[status(thm)],[15156, 9772, 15122])).
% 8.71/6.25 tff(15158,plain,
% 8.71/6.25 ((~(v124(constB63, bitIndex0) <=> b010(bitIndex0))) | (~v124(constB63, bitIndex0)) | b010(bitIndex0)),
% 8.71/6.25 inference(tautology,[status(thm)],[])).
% 8.71/6.25 tff(15159,plain,
% 8.71/6.25 ((~(v124(constB63, bitIndex0) <=> b010(bitIndex0))) | (~v124(constB63, bitIndex0))),
% 8.71/6.25 inference(unit_resolution,[status(thm)],[15158, 10195])).
% 8.71/6.25 tff(15160,plain,
% 8.71/6.25 (~v124(constB63, bitIndex0)),
% 8.71/6.25 inference(unit_resolution,[status(thm)],[15159, 15157])).
% 8.71/6.25 tff(15161,plain,
% 8.71/6.25 ((~(v121(constB63, bitIndex0) <=> v124(constB63, bitIndex0))) | (~v121(constB63, bitIndex0)) | v124(constB63, bitIndex0)),
% 8.71/6.25 inference(tautology,[status(thm)],[])).
% 8.71/6.25 tff(15162,plain,
% 8.71/6.25 (~v121(constB63, bitIndex0)),
% 8.71/6.25 inference(unit_resolution,[status(thm)],[15161, 15160, 15153])).
% 8.71/6.25 tff(15163,plain,
% 8.71/6.25 ((~(v123(constB64, bitIndex0) <=> v121(constB63, bitIndex0))) | (~v123(constB64, bitIndex0)) | v121(constB63, bitIndex0)),
% 8.71/6.25 inference(tautology,[status(thm)],[])).
% 8.71/6.25 tff(15164,plain,
% 8.71/6.25 (~v123(constB64, bitIndex0)),
% 8.71/6.25 inference(unit_resolution,[status(thm)],[15163, 15162, 15149])).
% 8.71/6.25 tff(15165,plain,
% 8.71/6.25 ((~(v84(constB64, bitIndex0) <=> v123(constB64, bitIndex0))) | (~v84(constB64, bitIndex0)) | v123(constB64, bitIndex0)),
% 8.71/6.25 inference(tautology,[status(thm)],[])).
% 8.71/6.25 tff(15166,plain,
% 8.71/6.25 (~v84(constB64, bitIndex0)),
% 8.71/6.25 inference(unit_resolution,[status(thm)],[15165, 15164, 15145])).
% 8.71/6.25 tff(15167,plain,
% 8.71/6.25 ((~(v84(constB65, bitIndex0) <=> v84(constB64, bitIndex0))) | (~v84(constB65, bitIndex0)) | v84(constB64, bitIndex0)),
% 8.71/6.25 inference(tautology,[status(thm)],[])).
% 8.71/6.25 tff(15168,plain,
% 8.71/6.25 (~v84(constB65, bitIndex0)),
% 8.71/6.25 inference(unit_resolution,[status(thm)],[15167, 15166, 15141])).
% 8.71/6.25 tff(15169,plain,
% 8.71/6.25 (((~![B: $i] : ((~less_3(B)) | (v84(constB65, B) <=> v84(constB64, B)))) | ((~less_3(bitIndex1)) | (v84(constB65, bitIndex1) <=> v84(constB64, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB65, B) <=> v84(constB64, B)))) | (~less_3(bitIndex1)) | (v84(constB65, bitIndex1) <=> v84(constB64, bitIndex1)))),
% 8.71/6.25 inference(rewrite,[status(thm)],[])).
% 8.71/6.25 tff(15170,plain,
% 8.71/6.25 ((~![B: $i] : ((~less_3(B)) | (v84(constB65, B) <=> v84(constB64, B)))) | ((~less_3(bitIndex1)) | (v84(constB65, bitIndex1) <=> v84(constB64, bitIndex1)))),
% 8.71/6.25 inference(quant_inst,[status(thm)],[])).
% 8.71/6.25 tff(15171,plain,
% 8.71/6.25 ((~![B: $i] : ((~less_3(B)) | (v84(constB65, B) <=> v84(constB64, B)))) | (~less_3(bitIndex1)) | (v84(constB65, bitIndex1) <=> v84(constB64, bitIndex1))),
% 8.71/6.25 inference(modus_ponens,[status(thm)],[15170, 15169])).
% 8.71/6.25 tff(15172,plain,
% 8.71/6.25 (v84(constB65, bitIndex1) <=> v84(constB64, bitIndex1)),
% 8.71/6.25 inference(unit_resolution,[status(thm)],[15171, 9785, 6832])).
% 8.71/6.25 tff(15173,plain,
% 8.71/6.25 (((~![B: $i] : ((~less_3(B)) | (v84(constB64, B) <=> v123(constB64, B)))) | ((~less_3(bitIndex1)) | (v84(constB64, bitIndex1) <=> v123(constB64, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB64, B) <=> v123(constB64, B)))) | (~less_3(bitIndex1)) | (v84(constB64, bitIndex1) <=> v123(constB64, bitIndex1)))),
% 8.71/6.25 inference(rewrite,[status(thm)],[])).
% 8.71/6.25 tff(15174,plain,
% 8.71/6.25 ((~![B: $i] : ((~less_3(B)) | (v84(constB64, B) <=> v123(constB64, B)))) | ((~less_3(bitIndex1)) | (v84(constB64, bitIndex1) <=> v123(constB64, bitIndex1)))),
% 8.71/6.25 inference(quant_inst,[status(thm)],[])).
% 8.71/6.25 tff(15175,plain,
% 8.71/6.25 ((~![B: $i] : ((~less_3(B)) | (v84(constB64, B) <=> v123(constB64, B)))) | (~less_3(bitIndex1)) | (v84(constB64, bitIndex1) <=> v123(constB64, bitIndex1))),
% 8.71/6.25 inference(modus_ponens,[status(thm)],[15174, 15173])).
% 8.71/6.25 tff(15176,plain,
% 8.71/6.25 (v84(constB64, bitIndex1) <=> v123(constB64, bitIndex1)),
% 8.71/6.25 inference(unit_resolution,[status(thm)],[15175, 9785, 15097])).
% 8.71/6.25 tff(15177,plain,
% 8.71/6.25 (((~![B: $i] : ((~less_3(B)) | (v123(constB64, B) <=> v121(constB63, B)))) | ((~less_3(bitIndex1)) | (v123(constB64, bitIndex1) <=> v121(constB63, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB64, B) <=> v121(constB63, B)))) | (~less_3(bitIndex1)) | (v123(constB64, bitIndex1) <=> v121(constB63, bitIndex1)))),
% 8.71/6.25 inference(rewrite,[status(thm)],[])).
% 8.71/6.25 tff(15178,plain,
% 8.71/6.25 ((~![B: $i] : ((~less_3(B)) | (v123(constB64, B) <=> v121(constB63, B)))) | ((~less_3(bitIndex1)) | (v123(constB64, bitIndex1) <=> v121(constB63, bitIndex1)))),
% 8.71/6.25 inference(quant_inst,[status(thm)],[])).
% 8.71/6.25 tff(15179,plain,
% 8.71/6.25 ((~![B: $i] : ((~less_3(B)) | (v123(constB64, B) <=> v121(constB63, B)))) | (~less_3(bitIndex1)) | (v123(constB64, bitIndex1) <=> v121(constB63, bitIndex1))),
% 8.71/6.25 inference(modus_ponens,[status(thm)],[15178, 15177])).
% 8.71/6.25 tff(15180,plain,
% 8.71/6.25 (v123(constB64, bitIndex1) <=> v121(constB63, bitIndex1)),
% 8.71/6.25 inference(unit_resolution,[status(thm)],[15179, 9785, 15105])).
% 8.71/6.25 tff(15181,plain,
% 8.71/6.25 (((~![B: $i] : ((~less_3(B)) | (v121(constB63, B) <=> v124(constB63, B)))) | ((~less_3(bitIndex1)) | (v121(constB63, bitIndex1) <=> v124(constB63, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB63, B) <=> v124(constB63, B)))) | (~less_3(bitIndex1)) | (v121(constB63, bitIndex1) <=> v124(constB63, bitIndex1)))),
% 8.71/6.25 inference(rewrite,[status(thm)],[])).
% 8.71/6.25 tff(15182,plain,
% 8.71/6.25 ((~![B: $i] : ((~less_3(B)) | (v121(constB63, B) <=> v124(constB63, B)))) | ((~less_3(bitIndex1)) | (v121(constB63, bitIndex1) <=> v124(constB63, bitIndex1)))),
% 8.71/6.25 inference(quant_inst,[status(thm)],[])).
% 8.71/6.25 tff(15183,plain,
% 8.71/6.25 ((~![B: $i] : ((~less_3(B)) | (v121(constB63, B) <=> v124(constB63, B)))) | (~less_3(bitIndex1)) | (v121(constB63, bitIndex1) <=> v124(constB63, bitIndex1))),
% 8.71/6.25 inference(modus_ponens,[status(thm)],[15182, 15181])).
% 8.71/6.25 tff(15184,plain,
% 8.71/6.25 (v121(constB63, bitIndex1) <=> v124(constB63, bitIndex1)),
% 8.71/6.25 inference(unit_resolution,[status(thm)],[15183, 9785, 15113])).
% 8.71/6.25 tff(15185,plain,
% 8.71/6.25 (((~![B: $i] : ((~less_3(B)) | (v124(constB63, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v124(constB63, bitIndex1) <=> b010(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB63, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v124(constB63, bitIndex1) <=> b010(bitIndex1)))),
% 8.71/6.25 inference(rewrite,[status(thm)],[])).
% 8.71/6.25 tff(15186,plain,
% 8.71/6.25 ((~![B: $i] : ((~less_3(B)) | (v124(constB63, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v124(constB63, bitIndex1) <=> b010(bitIndex1)))),
% 8.71/6.25 inference(quant_inst,[status(thm)],[])).
% 8.71/6.25 tff(15187,plain,
% 8.71/6.25 ((~![B: $i] : ((~less_3(B)) | (v124(constB63, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v124(constB63, bitIndex1) <=> b010(bitIndex1))),
% 8.71/6.25 inference(modus_ponens,[status(thm)],[15186, 15185])).
% 8.71/6.25 tff(15188,plain,
% 8.71/6.25 (v124(constB63, bitIndex1) <=> b010(bitIndex1)),
% 8.71/6.25 inference(unit_resolution,[status(thm)],[15187, 9785, 15122])).
% 8.71/6.25 tff(15189,plain,
% 8.71/6.25 ((~(v124(constB63, bitIndex1) <=> b010(bitIndex1))) | v124(constB63, bitIndex1) | (~b010(bitIndex1))),
% 8.71/6.25 inference(tautology,[status(thm)],[])).
% 8.71/6.25 tff(15190,plain,
% 8.71/6.25 ((~(v124(constB63, bitIndex1) <=> b010(bitIndex1))) | v124(constB63, bitIndex1)),
% 8.71/6.25 inference(unit_resolution,[status(thm)],[15189, 10229])).
% 8.71/6.25 tff(15191,plain,
% 8.71/6.25 (v124(constB63, bitIndex1)),
% 8.71/6.25 inference(unit_resolution,[status(thm)],[15190, 15188])).
% 8.71/6.25 tff(15192,plain,
% 8.71/6.25 ((~(v121(constB63, bitIndex1) <=> v124(constB63, bitIndex1))) | v121(constB63, bitIndex1) | (~v124(constB63, bitIndex1))),
% 8.71/6.25 inference(tautology,[status(thm)],[])).
% 8.71/6.25 tff(15193,plain,
% 8.71/6.25 (v121(constB63, bitIndex1)),
% 8.71/6.25 inference(unit_resolution,[status(thm)],[15192, 15191, 15184])).
% 8.71/6.25 tff(15194,plain,
% 8.71/6.25 ((~(v123(constB64, bitIndex1) <=> v121(constB63, bitIndex1))) | v123(constB64, bitIndex1) | (~v121(constB63, bitIndex1))),
% 8.71/6.25 inference(tautology,[status(thm)],[])).
% 8.71/6.25 tff(15195,plain,
% 8.71/6.25 (v123(constB64, bitIndex1)),
% 8.71/6.25 inference(unit_resolution,[status(thm)],[15194, 15193, 15180])).
% 8.71/6.25 tff(15196,plain,
% 8.71/6.25 ((~(v84(constB64, bitIndex1) <=> v123(constB64, bitIndex1))) | v84(constB64, bitIndex1) | (~v123(constB64, bitIndex1))),
% 8.71/6.25 inference(tautology,[status(thm)],[])).
% 8.71/6.25 tff(15197,plain,
% 8.71/6.25 (v84(constB64, bitIndex1)),
% 8.71/6.25 inference(unit_resolution,[status(thm)],[15196, 15195, 15176])).
% 8.71/6.25 tff(15198,plain,
% 8.71/6.25 ((~(v84(constB65, bitIndex1) <=> v84(constB64, bitIndex1))) | v84(constB65, bitIndex1) | (~v84(constB64, bitIndex1))),
% 8.71/6.25 inference(tautology,[status(thm)],[])).
% 8.71/6.25 tff(15199,plain,
% 8.71/6.25 (v84(constB65, bitIndex1)),
% 8.71/6.25 inference(unit_resolution,[status(thm)],[15198, 15197, 15172])).
% 8.71/6.25 tff(15200,plain,
% 8.71/6.25 ((~(v84(constB65, bitIndex2) | (~v84(constB65, bitIndex1)) | v84(constB65, bitIndex0))) | v84(constB65, bitIndex2) | (~v84(constB65, bitIndex1)) | v84(constB65, bitIndex0)),
% 8.71/6.25 inference(tautology,[status(thm)],[])).
% 8.71/6.25 tff(15201,plain,
% 8.71/6.25 (~(v84(constB65, bitIndex2) | (~v84(constB65, bitIndex1)) | v84(constB65, bitIndex0))),
% 8.71/6.25 inference(unit_resolution,[status(thm)],[15200, 15199, 15168, 15137])).
% 8.71/6.25 tff(15202,plain,
% 8.71/6.25 ((~(v115(constB65) <=> (~(v84(constB65, bitIndex2) | (~v84(constB65, bitIndex1)) | v84(constB65, bitIndex0))))) | v115(constB65) | (v84(constB65, bitIndex2) | (~v84(constB65, bitIndex1)) | v84(constB65, bitIndex0))),
% 8.71/6.25 inference(tautology,[status(thm)],[])).
% 8.71/6.25 tff(15203,plain,
% 8.71/6.25 (v115(constB65)),
% 8.71/6.25 inference(unit_resolution,[status(thm)],[15202, 15201, 6804])).
% 8.71/6.25 tff(15204,plain,
% 8.71/6.25 ((v112(constB65) | v115(constB65)) | (~v115(constB65))),
% 8.71/6.25 inference(tautology,[status(thm)],[])).
% 8.71/6.25 tff(15205,plain,
% 8.71/6.25 (v112(constB65) | v115(constB65)),
% 8.71/6.25 inference(unit_resolution,[status(thm)],[15204, 15203])).
% 8.71/6.25 tff(15206,plain,
% 8.71/6.25 ((~(v111(constB65) <=> (v112(constB65) | v115(constB65)))) | v111(constB65) | (~(v112(constB65) | v115(constB65)))),
% 8.71/6.25 inference(tautology,[status(thm)],[])).
% 8.71/6.25 tff(15207,plain,
% 8.71/6.25 (v111(constB65)),
% 8.71/6.25 inference(unit_resolution,[status(thm)],[15206, 15205, 6797])).
% 8.71/6.25 tff(15208,plain,
% 8.71/6.25 ((v111(constB65) | v116(constB65)) | (~v111(constB65))),
% 8.71/6.25 inference(tautology,[status(thm)],[])).
% 8.71/6.25 tff(15209,plain,
% 8.71/6.25 (v111(constB65) | v116(constB65)),
% 8.71/6.25 inference(unit_resolution,[status(thm)],[15208, 15207])).
% 8.71/6.25 tff(15210,plain,
% 8.71/6.25 ((~(v110(constB65) <=> (v111(constB65) | v116(constB65)))) | v110(constB65) | (~(v111(constB65) | v116(constB65)))),
% 8.71/6.25 inference(tautology,[status(thm)],[])).
% 8.71/6.25 tff(15211,plain,
% 8.71/6.25 (v110(constB65)),
% 8.71/6.25 inference(unit_resolution,[status(thm)],[15210, 15209, 6795])).
% 8.71/6.25 tff(15212,plain,
% 8.71/6.25 ((v110(constB65) | v117(constB65)) | (~v110(constB65))),
% 8.71/6.25 inference(tautology,[status(thm)],[])).
% 8.71/6.25 tff(15213,plain,
% 8.71/6.25 (v110(constB65) | v117(constB65)),
% 8.71/6.25 inference(unit_resolution,[status(thm)],[15212, 15211])).
% 8.71/6.25 tff(15214,plain,
% 8.71/6.25 ((~(v109(constB65) <=> (v110(constB65) | v117(constB65)))) | v109(constB65) | (~(v110(constB65) | v117(constB65)))),
% 8.71/6.25 inference(tautology,[status(thm)],[])).
% 8.71/6.25 tff(15215,plain,
% 8.71/6.25 (v109(constB65)),
% 8.71/6.25 inference(unit_resolution,[status(thm)],[15214, 15213, 6793])).
% 8.71/6.25 tff(15216,plain,
% 8.71/6.25 ((v109(constB65) | v118(constB65)) | (~v109(constB65))),
% 8.71/6.25 inference(tautology,[status(thm)],[])).
% 8.71/6.25 tff(15217,plain,
% 8.71/6.25 (v109(constB65) | v118(constB65)),
% 8.71/6.25 inference(unit_resolution,[status(thm)],[15216, 15215])).
% 8.71/6.25 tff(15218,plain,
% 8.71/6.25 ((~(v108(constB65) <=> (v109(constB65) | v118(constB65)))) | v108(constB65) | (~(v109(constB65) | v118(constB65)))),
% 8.71/6.25 inference(tautology,[status(thm)],[])).
% 8.71/6.25 tff(15219,plain,
% 8.71/6.25 (v108(constB65)),
% 8.71/6.25 inference(unit_resolution,[status(thm)],[15218, 15217, 6791])).
% 8.71/6.25 tff(15220,plain,
% 8.71/6.25 ((v108(constB65) | v119(constB65)) | (~v108(constB65))),
% 8.71/6.25 inference(tautology,[status(thm)],[])).
% 8.71/6.25 tff(15221,plain,
% 8.71/6.25 (v108(constB65) | v119(constB65)),
% 8.71/6.25 inference(unit_resolution,[status(thm)],[15220, 15219])).
% 8.71/6.25 tff(15222,plain,
% 8.71/6.25 ((~(v107(constB65) <=> (v108(constB65) | v119(constB65)))) | v107(constB65) | (~(v108(constB65) | v119(constB65)))),
% 8.71/6.25 inference(tautology,[status(thm)],[])).
% 8.71/6.25 tff(15223,plain,
% 8.71/6.25 (v107(constB65)),
% 8.71/6.25 inference(unit_resolution,[status(thm)],[15222, 15221, 6789])).
% 8.71/6.25 tff(15224,plain,
% 8.71/6.25 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB65)) <=> v105(constB65))),
% 8.71/6.25 inference(quant_inst,[status(thm)],[])).
% 8.71/6.25 tff(15225,plain,
% 8.71/6.25 ((~v120(constB65)) <=> v105(constB65)),
% 8.71/6.25 inference(unit_resolution,[status(thm)],[15224, 9842])).
% 8.71/6.25 tff(15226,plain,
% 8.71/6.25 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB65) <=> v26(constB65))),
% 8.71/6.25 inference(quant_inst,[status(thm)],[])).
% 8.71/6.25 tff(15227,plain,
% 8.71/6.25 (v105(constB65) <=> v26(constB65)),
% 8.71/6.25 inference(unit_resolution,[status(thm)],[15226, 9854])).
% 8.71/6.25 tff(15228,plain,
% 8.71/6.25 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB65))),
% 8.71/6.25 inference(quant_inst,[status(thm)],[])).
% 8.71/6.25 tff(15229,plain,
% 8.71/6.25 (~v26(constB65)),
% 8.71/6.25 inference(unit_resolution,[status(thm)],[15228, 9866])).
% 8.71/6.25 tff(15230,plain,
% 8.71/6.25 ((~(v105(constB65) <=> v26(constB65))) | (~v105(constB65)) | v26(constB65)),
% 8.71/6.25 inference(tautology,[status(thm)],[])).
% 8.71/6.25 tff(15231,plain,
% 8.71/6.25 ((~(v105(constB65) <=> v26(constB65))) | (~v105(constB65))),
% 8.71/6.25 inference(unit_resolution,[status(thm)],[15230, 15229])).
% 8.71/6.25 tff(15232,plain,
% 8.71/6.25 (~v105(constB65)),
% 8.71/6.25 inference(unit_resolution,[status(thm)],[15231, 15227])).
% 8.71/6.25 tff(15233,plain,
% 8.71/6.25 ((~((~v120(constB65)) <=> v105(constB65))) | v120(constB65) | v105(constB65)),
% 8.71/6.25 inference(tautology,[status(thm)],[])).
% 8.71/6.25 tff(15234,plain,
% 8.71/6.25 ((~((~v120(constB65)) <=> v105(constB65))) | v120(constB65)),
% 8.71/6.25 inference(unit_resolution,[status(thm)],[15233, 15232])).
% 8.71/6.25 tff(15235,plain,
% 8.71/6.25 (v120(constB65)),
% 8.71/6.25 inference(unit_resolution,[status(thm)],[15234, 15225])).
% 8.71/6.25 tff(15236,plain,
% 8.71/6.25 ((~((~v107(constB65)) | (~v120(constB65)))) | (~v107(constB65)) | (~v120(constB65))),
% 8.71/6.25 inference(tautology,[status(thm)],[])).
% 8.71/6.25 tff(15237,plain,
% 8.71/6.25 ((~((~v107(constB65)) | (~v120(constB65)))) | (~v107(constB65))),
% 8.71/6.25 inference(unit_resolution,[status(thm)],[15236, 15235])).
% 8.71/6.25 tff(15238,plain,
% 8.71/6.25 (~((~v107(constB65)) | (~v120(constB65)))),
% 8.71/6.25 inference(unit_resolution,[status(thm)],[15237, 15223])).
% 8.71/6.25 tff(15239,plain,
% 8.71/6.25 ((~(v106(constB65) <=> (~((~v107(constB65)) | (~v120(constB65)))))) | v106(constB65) | ((~v107(constB65)) | (~v120(constB65)))),
% 8.71/6.25 inference(tautology,[status(thm)],[])).
% 8.71/6.25 tff(15240,plain,
% 8.71/6.25 (v106(constB65)),
% 8.71/6.25 inference(unit_resolution,[status(thm)],[15239, 15238, 6787])).
% 8.71/6.25 tff(15241,plain,
% 8.71/6.25 ((v105(constB65) | v106(constB65)) | (~v106(constB65))),
% 8.71/6.25 inference(tautology,[status(thm)],[])).
% 8.71/6.25 tff(15242,plain,
% 8.71/6.25 (v105(constB65) | v106(constB65)),
% 8.71/6.25 inference(unit_resolution,[status(thm)],[15241, 15240])).
% 8.71/6.25 tff(15243,plain,
% 8.71/6.25 ((~(v102(constB65) <=> (v105(constB65) | v106(constB65)))) | v102(constB65) | (~(v105(constB65) | v106(constB65)))),
% 8.71/6.25 inference(tautology,[status(thm)],[])).
% 8.71/6.25 tff(15244,plain,
% 8.71/6.25 (v102(constB65)),
% 8.71/6.25 inference(unit_resolution,[status(thm)],[15243, 15242, 6785])).
% 8.71/6.25 tff(15245,plain,
% 8.71/6.25 ((~(v104(constB66) <=> v102(constB65))) | v104(constB66) | (~v102(constB65))),
% 8.71/6.25 inference(tautology,[status(thm)],[])).
% 8.71/6.25 tff(15246,plain,
% 8.71/6.25 (v104(constB66)),
% 8.71/6.25 inference(unit_resolution,[status(thm)],[15245, 15244, 6783])).
% 8.71/6.25 tff(15247,plain,
% 8.71/6.25 ((~((~v104(constB66)) | (~v95(constB66)))) | (~v104(constB66)) | (~v95(constB66))),
% 8.71/6.25 inference(tautology,[status(thm)],[])).
% 8.71/6.25 tff(15248,plain,
% 8.71/6.25 (~((~v104(constB66)) | (~v95(constB66)))),
% 8.71/6.25 inference(unit_resolution,[status(thm)],[15247, 15246, 6779])).
% 8.71/6.25 tff(15249,plain,
% 8.71/6.25 ((~(v94(constB66) <=> (~((~v104(constB66)) | (~v95(constB66)))))) | v94(constB66) | ((~v104(constB66)) | (~v95(constB66)))),
% 8.71/6.25 inference(tautology,[status(thm)],[])).
% 8.71/6.25 tff(15250,plain,
% 8.71/6.25 (v94(constB66)),
% 8.71/6.25 inference(unit_resolution,[status(thm)],[15249, 15248, 6748])).
% 8.71/6.25 tff(15251,plain,
% 8.71/6.25 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB66)) | ![B: $i] : ((~less_3(B)) | (v84(constB66, B) <=> v123(constB66, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB66)) | ![B: $i] : ((~less_3(B)) | (v84(constB66, B) <=> v123(constB66, B))))),
% 8.71/6.25 inference(rewrite,[status(thm)],[])).
% 8.71/6.25 tff(15252,plain,
% 8.71/6.25 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB66)) | ![B: $i] : ((~less_3(B)) | (v84(constB66, B) <=> v123(constB66, B))))),
% 8.71/6.25 inference(quant_inst,[status(thm)],[])).
% 8.71/6.25 tff(15253,plain,
% 8.71/6.25 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB66)) | ![B: $i] : ((~less_3(B)) | (v84(constB66, B) <=> v123(constB66, B)))),
% 8.71/6.25 inference(modus_ponens,[status(thm)],[15252, 15251])).
% 8.71/6.25 tff(15254,plain,
% 8.71/6.25 ((~v94(constB66)) | ![B: $i] : ((~less_3(B)) | (v84(constB66, B) <=> v123(constB66, B)))),
% 8.71/6.25 inference(unit_resolution,[status(thm)],[15253, 9902])).
% 8.71/6.25 tff(15255,plain,
% 8.71/6.25 (![B: $i] : ((~less_3(B)) | (v84(constB66, B) <=> v123(constB66, B)))),
% 8.71/6.25 inference(unit_resolution,[status(thm)],[15254, 15250])).
% 8.71/6.25 tff(15256,plain,
% 8.71/6.25 (((~![B: $i] : ((~less_3(B)) | (v84(constB66, B) <=> v123(constB66, B)))) | ((~less_3(bitIndex2)) | (v84(constB66, bitIndex2) <=> v123(constB66, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB66, B) <=> v123(constB66, B)))) | (~less_3(bitIndex2)) | (v84(constB66, bitIndex2) <=> v123(constB66, bitIndex2)))),
% 8.71/6.25 inference(rewrite,[status(thm)],[])).
% 8.71/6.25 tff(15257,plain,
% 8.71/6.25 ((~![B: $i] : ((~less_3(B)) | (v84(constB66, B) <=> v123(constB66, B)))) | ((~less_3(bitIndex2)) | (v84(constB66, bitIndex2) <=> v123(constB66, bitIndex2)))),
% 8.71/6.25 inference(quant_inst,[status(thm)],[])).
% 8.71/6.25 tff(15258,plain,
% 8.71/6.25 ((~![B: $i] : ((~less_3(B)) | (v84(constB66, B) <=> v123(constB66, B)))) | (~less_3(bitIndex2)) | (v84(constB66, bitIndex2) <=> v123(constB66, bitIndex2))),
% 8.71/6.25 inference(modus_ponens,[status(thm)],[15257, 15256])).
% 8.71/6.25 tff(15259,plain,
% 8.71/6.25 (v84(constB66, bitIndex2) <=> v123(constB66, bitIndex2)),
% 8.71/6.25 inference(unit_resolution,[status(thm)],[15258, 832, 15255])).
% 8.71/6.25 tff(15260,plain,
% 8.71/6.25 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB65, constB66)) | ![B: $i] : ((~less_3(B)) | (v123(constB66, B) <=> v121(constB65, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB65, constB66)) | ![B: $i] : ((~less_3(B)) | (v123(constB66, B) <=> v121(constB65, B))))),
% 8.71/6.25 inference(rewrite,[status(thm)],[])).
% 8.71/6.25 tff(15261,plain,
% 8.71/6.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB65, constB66)) | ![B: $i] : ((~less_3(B)) | (v123(constB66, B) <=> v121(constB65, B))))),
% 8.71/6.25 inference(quant_inst,[status(thm)],[])).
% 8.71/6.25 tff(15262,plain,
% 8.71/6.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB65, constB66)) | ![B: $i] : ((~less_3(B)) | (v123(constB66, B) <=> v121(constB65, B)))),
% 8.71/6.25 inference(modus_ponens,[status(thm)],[15261, 15260])).
% 8.71/6.25 tff(15263,plain,
% 8.71/6.25 (![B: $i] : ((~less_3(B)) | (v123(constB66, B) <=> v121(constB65, B)))),
% 8.71/6.25 inference(unit_resolution,[status(thm)],[15262, 6744, 9924])).
% 8.71/6.25 tff(15264,plain,
% 8.71/6.25 (((~![B: $i] : ((~less_3(B)) | (v123(constB66, B) <=> v121(constB65, B)))) | ((~less_3(bitIndex2)) | (v123(constB66, bitIndex2) <=> v121(constB65, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB66, B) <=> v121(constB65, B)))) | (~less_3(bitIndex2)) | (v123(constB66, bitIndex2) <=> v121(constB65, bitIndex2)))),
% 8.71/6.25 inference(rewrite,[status(thm)],[])).
% 8.71/6.25 tff(15265,plain,
% 8.71/6.25 ((~![B: $i] : ((~less_3(B)) | (v123(constB66, B) <=> v121(constB65, B)))) | ((~less_3(bitIndex2)) | (v123(constB66, bitIndex2) <=> v121(constB65, bitIndex2)))),
% 8.71/6.25 inference(quant_inst,[status(thm)],[])).
% 8.71/6.25 tff(15266,plain,
% 8.71/6.25 ((~![B: $i] : ((~less_3(B)) | (v123(constB66, B) <=> v121(constB65, B)))) | (~less_3(bitIndex2)) | (v123(constB66, bitIndex2) <=> v121(constB65, bitIndex2))),
% 8.71/6.25 inference(modus_ponens,[status(thm)],[15265, 15264])).
% 8.71/6.25 tff(15267,plain,
% 8.71/6.25 (v123(constB66, bitIndex2) <=> v121(constB65, bitIndex2)),
% 8.71/6.25 inference(unit_resolution,[status(thm)],[15266, 832, 15263])).
% 8.71/6.25 tff(15268,plain,
% 8.71/6.25 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB65) | ![B: $i] : ((~less_3(B)) | (v121(constB65, B) <=> v124(constB65, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB65) | ![B: $i] : ((~less_3(B)) | (v121(constB65, B) <=> v124(constB65, B))))),
% 8.71/6.25 inference(rewrite,[status(thm)],[])).
% 8.71/6.25 tff(15269,plain,
% 8.71/6.25 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB65) | ![B: $i] : ((~less_3(B)) | (v121(constB65, B) <=> v124(constB65, B))))),
% 8.71/6.25 inference(quant_inst,[status(thm)],[])).
% 8.71/6.25 tff(15270,plain,
% 8.71/6.25 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB65) | ![B: $i] : ((~less_3(B)) | (v121(constB65, B) <=> v124(constB65, B)))),
% 8.71/6.25 inference(modus_ponens,[status(thm)],[15269, 15268])).
% 8.71/6.25 tff(15271,plain,
% 8.71/6.25 (![B: $i] : ((~less_3(B)) | (v121(constB65, B) <=> v124(constB65, B)))),
% 8.71/6.25 inference(unit_resolution,[status(thm)],[15270, 9945, 15232])).
% 8.71/6.25 tff(15272,plain,
% 8.71/6.25 (((~![B: $i] : ((~less_3(B)) | (v121(constB65, B) <=> v124(constB65, B)))) | ((~less_3(bitIndex2)) | (v121(constB65, bitIndex2) <=> v124(constB65, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB65, B) <=> v124(constB65, B)))) | (~less_3(bitIndex2)) | (v121(constB65, bitIndex2) <=> v124(constB65, bitIndex2)))),
% 8.71/6.25 inference(rewrite,[status(thm)],[])).
% 8.71/6.25 tff(15273,plain,
% 8.71/6.25 ((~![B: $i] : ((~less_3(B)) | (v121(constB65, B) <=> v124(constB65, B)))) | ((~less_3(bitIndex2)) | (v121(constB65, bitIndex2) <=> v124(constB65, bitIndex2)))),
% 8.71/6.25 inference(quant_inst,[status(thm)],[])).
% 8.71/6.25 tff(15274,plain,
% 8.71/6.25 ((~![B: $i] : ((~less_3(B)) | (v121(constB65, B) <=> v124(constB65, B)))) | (~less_3(bitIndex2)) | (v121(constB65, bitIndex2) <=> v124(constB65, bitIndex2))),
% 8.71/6.25 inference(modus_ponens,[status(thm)],[15273, 15272])).
% 8.71/6.25 tff(15275,plain,
% 8.71/6.25 (v121(constB65, bitIndex2) <=> v124(constB65, bitIndex2)),
% 8.71/6.25 inference(unit_resolution,[status(thm)],[15274, 832, 15271])).
% 8.71/6.25 tff(15276,plain,
% 8.71/6.25 (((~![VarCurr: $i] : ((~v115(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b011(B))))) | ((~v115(constB65)) | ![B: $i] : ((~less_3(B)) | (v124(constB65, B) <=> b011(B))))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b011(B))))) | (~v115(constB65)) | ![B: $i] : ((~less_3(B)) | (v124(constB65, B) <=> b011(B))))),
% 8.71/6.25 inference(rewrite,[status(thm)],[])).
% 8.71/6.25 tff(15277,plain,
% 8.71/6.25 ((~![VarCurr: $i] : ((~v115(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b011(B))))) | ((~v115(constB65)) | ![B: $i] : ((~less_3(B)) | (v124(constB65, B) <=> b011(B))))),
% 8.71/6.25 inference(quant_inst,[status(thm)],[])).
% 8.71/6.25 tff(15278,plain,
% 8.71/6.25 ((~![VarCurr: $i] : ((~v115(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b011(B))))) | (~v115(constB65)) | ![B: $i] : ((~less_3(B)) | (v124(constB65, B) <=> b011(B)))),
% 8.71/6.25 inference(modus_ponens,[status(thm)],[15277, 15276])).
% 8.71/6.25 tff(15279,plain,
% 8.71/6.25 ((~v115(constB65)) | ![B: $i] : ((~less_3(B)) | (v124(constB65, B) <=> b011(B)))),
% 8.71/6.25 inference(unit_resolution,[status(thm)],[15278, 10329])).
% 8.71/6.25 tff(15280,plain,
% 8.71/6.25 (![B: $i] : ((~less_3(B)) | (v124(constB65, B) <=> b011(B)))),
% 8.71/6.25 inference(unit_resolution,[status(thm)],[15279, 15203])).
% 8.71/6.25 tff(15281,plain,
% 8.71/6.25 (((~![B: $i] : ((~less_3(B)) | (v124(constB65, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v124(constB65, bitIndex2) <=> b011(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB65, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v124(constB65, bitIndex2) <=> b011(bitIndex2)))),
% 8.71/6.25 inference(rewrite,[status(thm)],[])).
% 8.71/6.25 tff(15282,plain,
% 8.71/6.25 ((~![B: $i] : ((~less_3(B)) | (v124(constB65, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v124(constB65, bitIndex2) <=> b011(bitIndex2)))),
% 8.71/6.25 inference(quant_inst,[status(thm)],[])).
% 8.71/6.25 tff(15283,plain,
% 8.71/6.25 ((~![B: $i] : ((~less_3(B)) | (v124(constB65, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v124(constB65, bitIndex2) <=> b011(bitIndex2))),
% 8.71/6.25 inference(modus_ponens,[status(thm)],[15282, 15281])).
% 8.71/6.25 tff(15284,plain,
% 8.71/6.25 (v124(constB65, bitIndex2) <=> b011(bitIndex2)),
% 8.71/6.25 inference(unit_resolution,[status(thm)],[15283, 832, 15280])).
% 8.71/6.25 tff(15285,plain,
% 8.71/6.25 ((~(v124(constB65, bitIndex2) <=> b011(bitIndex2))) | (~v124(constB65, bitIndex2)) | b011(bitIndex2)),
% 8.71/6.25 inference(tautology,[status(thm)],[])).
% 8.71/6.25 tff(15286,plain,
% 8.71/6.25 ((~(v124(constB65, bitIndex2) <=> b011(bitIndex2))) | (~v124(constB65, bitIndex2))),
% 8.71/6.25 inference(unit_resolution,[status(thm)],[15285, 10341])).
% 8.71/6.25 tff(15287,plain,
% 8.71/6.25 (~v124(constB65, bitIndex2)),
% 8.71/6.25 inference(unit_resolution,[status(thm)],[15286, 15284])).
% 8.71/6.25 tff(15288,plain,
% 8.71/6.25 ((~(v121(constB65, bitIndex2) <=> v124(constB65, bitIndex2))) | (~v121(constB65, bitIndex2)) | v124(constB65, bitIndex2)),
% 8.71/6.25 inference(tautology,[status(thm)],[])).
% 8.71/6.25 tff(15289,plain,
% 8.71/6.25 (~v121(constB65, bitIndex2)),
% 8.71/6.25 inference(unit_resolution,[status(thm)],[15288, 15287, 15275])).
% 8.71/6.25 tff(15290,plain,
% 8.71/6.25 ((~(v123(constB66, bitIndex2) <=> v121(constB65, bitIndex2))) | (~v123(constB66, bitIndex2)) | v121(constB65, bitIndex2)),
% 8.71/6.25 inference(tautology,[status(thm)],[])).
% 8.71/6.25 tff(15291,plain,
% 8.71/6.25 (~v123(constB66, bitIndex2)),
% 8.71/6.25 inference(unit_resolution,[status(thm)],[15290, 15289, 15267])).
% 8.71/6.25 tff(15292,plain,
% 8.71/6.25 ((~(v84(constB66, bitIndex2) <=> v123(constB66, bitIndex2))) | (~v84(constB66, bitIndex2)) | v123(constB66, bitIndex2)),
% 8.71/6.25 inference(tautology,[status(thm)],[])).
% 8.71/6.25 tff(15293,plain,
% 8.71/6.25 (~v84(constB66, bitIndex2)),
% 8.71/6.25 inference(unit_resolution,[status(thm)],[15292, 15291, 15259])).
% 8.71/6.25 tff(15294,plain,
% 8.71/6.25 ((~(v84(constB67, bitIndex2) <=> v84(constB66, bitIndex2))) | (~v84(constB67, bitIndex2)) | v84(constB66, bitIndex2)),
% 8.71/6.25 inference(tautology,[status(thm)],[])).
% 8.71/6.25 tff(15295,plain,
% 8.71/6.25 (~v84(constB67, bitIndex2)),
% 8.71/6.25 inference(unit_resolution,[status(thm)],[15294, 15293, 6741])).
% 8.71/6.25 tff(15296,plain,
% 8.71/6.25 (((~![B: $i] : ((~less_3(B)) | (v84(constB67, B) <=> v84(constB66, B)))) | ((~less_3(bitIndex0)) | (v84(constB67, bitIndex0) <=> v84(constB66, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB67, B) <=> v84(constB66, B)))) | (~less_3(bitIndex0)) | (v84(constB67, bitIndex0) <=> v84(constB66, bitIndex0)))),
% 8.71/6.25 inference(rewrite,[status(thm)],[])).
% 8.71/6.25 tff(15297,plain,
% 8.71/6.25 ((~![B: $i] : ((~less_3(B)) | (v84(constB67, B) <=> v84(constB66, B)))) | ((~less_3(bitIndex0)) | (v84(constB67, bitIndex0) <=> v84(constB66, bitIndex0)))),
% 8.71/6.25 inference(quant_inst,[status(thm)],[])).
% 8.71/6.25 tff(15298,plain,
% 8.71/6.25 ((~![B: $i] : ((~less_3(B)) | (v84(constB67, B) <=> v84(constB66, B)))) | (~less_3(bitIndex0)) | (v84(constB67, bitIndex0) <=> v84(constB66, bitIndex0))),
% 8.71/6.25 inference(modus_ponens,[status(thm)],[15297, 15296])).
% 8.71/6.25 tff(15299,plain,
% 8.71/6.25 (v84(constB67, bitIndex0) <=> v84(constB66, bitIndex0)),
% 8.71/6.25 inference(unit_resolution,[status(thm)],[15298, 9772, 6737])).
% 8.71/6.25 tff(15300,plain,
% 8.71/6.25 (((~![B: $i] : ((~less_3(B)) | (v84(constB66, B) <=> v123(constB66, B)))) | ((~less_3(bitIndex0)) | (v84(constB66, bitIndex0) <=> v123(constB66, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB66, B) <=> v123(constB66, B)))) | (~less_3(bitIndex0)) | (v84(constB66, bitIndex0) <=> v123(constB66, bitIndex0)))),
% 8.71/6.25 inference(rewrite,[status(thm)],[])).
% 8.71/6.25 tff(15301,plain,
% 8.71/6.25 ((~![B: $i] : ((~less_3(B)) | (v84(constB66, B) <=> v123(constB66, B)))) | ((~less_3(bitIndex0)) | (v84(constB66, bitIndex0) <=> v123(constB66, bitIndex0)))),
% 8.71/6.25 inference(quant_inst,[status(thm)],[])).
% 8.71/6.25 tff(15302,plain,
% 8.71/6.25 ((~![B: $i] : ((~less_3(B)) | (v84(constB66, B) <=> v123(constB66, B)))) | (~less_3(bitIndex0)) | (v84(constB66, bitIndex0) <=> v123(constB66, bitIndex0))),
% 8.71/6.25 inference(modus_ponens,[status(thm)],[15301, 15300])).
% 8.71/6.25 tff(15303,plain,
% 8.71/6.25 (v84(constB66, bitIndex0) <=> v123(constB66, bitIndex0)),
% 8.71/6.25 inference(unit_resolution,[status(thm)],[15302, 9772, 15255])).
% 8.71/6.25 tff(15304,plain,
% 8.71/6.25 (((~![B: $i] : ((~less_3(B)) | (v123(constB66, B) <=> v121(constB65, B)))) | ((~less_3(bitIndex0)) | (v123(constB66, bitIndex0) <=> v121(constB65, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB66, B) <=> v121(constB65, B)))) | (~less_3(bitIndex0)) | (v123(constB66, bitIndex0) <=> v121(constB65, bitIndex0)))),
% 8.71/6.25 inference(rewrite,[status(thm)],[])).
% 8.71/6.25 tff(15305,plain,
% 8.71/6.25 ((~![B: $i] : ((~less_3(B)) | (v123(constB66, B) <=> v121(constB65, B)))) | ((~less_3(bitIndex0)) | (v123(constB66, bitIndex0) <=> v121(constB65, bitIndex0)))),
% 8.71/6.25 inference(quant_inst,[status(thm)],[])).
% 8.71/6.25 tff(15306,plain,
% 8.71/6.25 ((~![B: $i] : ((~less_3(B)) | (v123(constB66, B) <=> v121(constB65, B)))) | (~less_3(bitIndex0)) | (v123(constB66, bitIndex0) <=> v121(constB65, bitIndex0))),
% 8.71/6.25 inference(modus_ponens,[status(thm)],[15305, 15304])).
% 8.71/6.25 tff(15307,plain,
% 8.71/6.25 (v123(constB66, bitIndex0) <=> v121(constB65, bitIndex0)),
% 8.71/6.25 inference(unit_resolution,[status(thm)],[15306, 9772, 15263])).
% 8.71/6.25 tff(15308,plain,
% 8.71/6.25 (((~![B: $i] : ((~less_3(B)) | (v121(constB65, B) <=> v124(constB65, B)))) | ((~less_3(bitIndex0)) | (v121(constB65, bitIndex0) <=> v124(constB65, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB65, B) <=> v124(constB65, B)))) | (~less_3(bitIndex0)) | (v121(constB65, bitIndex0) <=> v124(constB65, bitIndex0)))),
% 8.71/6.25 inference(rewrite,[status(thm)],[])).
% 8.71/6.25 tff(15309,plain,
% 8.71/6.25 ((~![B: $i] : ((~less_3(B)) | (v121(constB65, B) <=> v124(constB65, B)))) | ((~less_3(bitIndex0)) | (v121(constB65, bitIndex0) <=> v124(constB65, bitIndex0)))),
% 8.71/6.25 inference(quant_inst,[status(thm)],[])).
% 8.71/6.25 tff(15310,plain,
% 8.71/6.25 ((~![B: $i] : ((~less_3(B)) | (v121(constB65, B) <=> v124(constB65, B)))) | (~less_3(bitIndex0)) | (v121(constB65, bitIndex0) <=> v124(constB65, bitIndex0))),
% 8.71/6.25 inference(modus_ponens,[status(thm)],[15309, 15308])).
% 8.71/6.25 tff(15311,plain,
% 8.71/6.25 (v121(constB65, bitIndex0) <=> v124(constB65, bitIndex0)),
% 8.71/6.25 inference(unit_resolution,[status(thm)],[15310, 9772, 15271])).
% 8.71/6.25 tff(15312,plain,
% 8.71/6.25 (((~![B: $i] : ((~less_3(B)) | (v124(constB65, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v124(constB65, bitIndex0) <=> b011(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB65, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v124(constB65, bitIndex0) <=> b011(bitIndex0)))),
% 8.71/6.25 inference(rewrite,[status(thm)],[])).
% 8.71/6.25 tff(15313,plain,
% 8.71/6.25 ((~![B: $i] : ((~less_3(B)) | (v124(constB65, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v124(constB65, bitIndex0) <=> b011(bitIndex0)))),
% 8.71/6.25 inference(quant_inst,[status(thm)],[])).
% 8.71/6.25 tff(15314,plain,
% 8.71/6.25 ((~![B: $i] : ((~less_3(B)) | (v124(constB65, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v124(constB65, bitIndex0) <=> b011(bitIndex0))),
% 8.71/6.25 inference(modus_ponens,[status(thm)],[15313, 15312])).
% 8.71/6.25 tff(15315,plain,
% 8.71/6.25 (v124(constB65, bitIndex0) <=> b011(bitIndex0)),
% 8.71/6.25 inference(unit_resolution,[status(thm)],[15314, 9772, 15280])).
% 8.71/6.25 tff(15316,plain,
% 8.71/6.25 ((~(v124(constB65, bitIndex0) <=> b011(bitIndex0))) | v124(constB65, bitIndex0) | (~b011(bitIndex0))),
% 8.71/6.25 inference(tautology,[status(thm)],[])).
% 8.71/6.25 tff(15317,plain,
% 8.71/6.25 ((~(v124(constB65, bitIndex0) <=> b011(bitIndex0))) | v124(constB65, bitIndex0)),
% 8.71/6.25 inference(unit_resolution,[status(thm)],[15316, 10375])).
% 8.71/6.25 tff(15318,plain,
% 8.71/6.25 (v124(constB65, bitIndex0)),
% 8.71/6.25 inference(unit_resolution,[status(thm)],[15317, 15315])).
% 8.71/6.25 tff(15319,plain,
% 8.71/6.25 ((~(v121(constB65, bitIndex0) <=> v124(constB65, bitIndex0))) | v121(constB65, bitIndex0) | (~v124(constB65, bitIndex0))),
% 8.71/6.25 inference(tautology,[status(thm)],[])).
% 8.71/6.25 tff(15320,plain,
% 8.71/6.25 (v121(constB65, bitIndex0)),
% 8.71/6.25 inference(unit_resolution,[status(thm)],[15319, 15318, 15311])).
% 8.71/6.25 tff(15321,plain,
% 8.71/6.25 ((~(v123(constB66, bitIndex0) <=> v121(constB65, bitIndex0))) | v123(constB66, bitIndex0) | (~v121(constB65, bitIndex0))),
% 8.71/6.25 inference(tautology,[status(thm)],[])).
% 8.71/6.25 tff(15322,plain,
% 8.71/6.25 (v123(constB66, bitIndex0)),
% 8.71/6.25 inference(unit_resolution,[status(thm)],[15321, 15320, 15307])).
% 8.71/6.25 tff(15323,plain,
% 8.71/6.25 ((~(v84(constB66, bitIndex0) <=> v123(constB66, bitIndex0))) | v84(constB66, bitIndex0) | (~v123(constB66, bitIndex0))),
% 8.71/6.25 inference(tautology,[status(thm)],[])).
% 8.71/6.25 tff(15324,plain,
% 8.71/6.26 (v84(constB66, bitIndex0)),
% 8.71/6.26 inference(unit_resolution,[status(thm)],[15323, 15322, 15303])).
% 8.71/6.26 tff(15325,plain,
% 8.71/6.26 ((~(v84(constB67, bitIndex0) <=> v84(constB66, bitIndex0))) | v84(constB67, bitIndex0) | (~v84(constB66, bitIndex0))),
% 8.71/6.26 inference(tautology,[status(thm)],[])).
% 8.71/6.26 tff(15326,plain,
% 8.71/6.26 (v84(constB67, bitIndex0)),
% 8.71/6.26 inference(unit_resolution,[status(thm)],[15325, 15324, 15299])).
% 8.71/6.26 tff(15327,plain,
% 8.71/6.26 (((~![B: $i] : ((~less_3(B)) | (v84(constB67, B) <=> v84(constB66, B)))) | ((~less_3(bitIndex1)) | (v84(constB67, bitIndex1) <=> v84(constB66, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB67, B) <=> v84(constB66, B)))) | (~less_3(bitIndex1)) | (v84(constB67, bitIndex1) <=> v84(constB66, bitIndex1)))),
% 8.71/6.26 inference(rewrite,[status(thm)],[])).
% 8.71/6.26 tff(15328,plain,
% 8.71/6.26 ((~![B: $i] : ((~less_3(B)) | (v84(constB67, B) <=> v84(constB66, B)))) | ((~less_3(bitIndex1)) | (v84(constB67, bitIndex1) <=> v84(constB66, bitIndex1)))),
% 8.71/6.26 inference(quant_inst,[status(thm)],[])).
% 8.71/6.26 tff(15329,plain,
% 8.71/6.26 ((~![B: $i] : ((~less_3(B)) | (v84(constB67, B) <=> v84(constB66, B)))) | (~less_3(bitIndex1)) | (v84(constB67, bitIndex1) <=> v84(constB66, bitIndex1))),
% 8.71/6.26 inference(modus_ponens,[status(thm)],[15328, 15327])).
% 8.71/6.26 tff(15330,plain,
% 8.71/6.26 (v84(constB67, bitIndex1) <=> v84(constB66, bitIndex1)),
% 8.71/6.26 inference(unit_resolution,[status(thm)],[15329, 9785, 6737])).
% 8.71/6.26 tff(15331,plain,
% 8.71/6.26 (((~![B: $i] : ((~less_3(B)) | (v84(constB66, B) <=> v123(constB66, B)))) | ((~less_3(bitIndex1)) | (v84(constB66, bitIndex1) <=> v123(constB66, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB66, B) <=> v123(constB66, B)))) | (~less_3(bitIndex1)) | (v84(constB66, bitIndex1) <=> v123(constB66, bitIndex1)))),
% 8.71/6.26 inference(rewrite,[status(thm)],[])).
% 8.71/6.26 tff(15332,plain,
% 8.71/6.26 ((~![B: $i] : ((~less_3(B)) | (v84(constB66, B) <=> v123(constB66, B)))) | ((~less_3(bitIndex1)) | (v84(constB66, bitIndex1) <=> v123(constB66, bitIndex1)))),
% 8.71/6.26 inference(quant_inst,[status(thm)],[])).
% 8.71/6.26 tff(15333,plain,
% 8.71/6.26 ((~![B: $i] : ((~less_3(B)) | (v84(constB66, B) <=> v123(constB66, B)))) | (~less_3(bitIndex1)) | (v84(constB66, bitIndex1) <=> v123(constB66, bitIndex1))),
% 8.71/6.26 inference(modus_ponens,[status(thm)],[15332, 15331])).
% 8.71/6.26 tff(15334,plain,
% 8.71/6.26 (v84(constB66, bitIndex1) <=> v123(constB66, bitIndex1)),
% 8.71/6.26 inference(unit_resolution,[status(thm)],[15333, 9785, 15255])).
% 8.71/6.26 tff(15335,plain,
% 8.71/6.26 (((~![B: $i] : ((~less_3(B)) | (v123(constB66, B) <=> v121(constB65, B)))) | ((~less_3(bitIndex1)) | (v123(constB66, bitIndex1) <=> v121(constB65, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB66, B) <=> v121(constB65, B)))) | (~less_3(bitIndex1)) | (v123(constB66, bitIndex1) <=> v121(constB65, bitIndex1)))),
% 8.71/6.26 inference(rewrite,[status(thm)],[])).
% 8.71/6.26 tff(15336,plain,
% 8.71/6.26 ((~![B: $i] : ((~less_3(B)) | (v123(constB66, B) <=> v121(constB65, B)))) | ((~less_3(bitIndex1)) | (v123(constB66, bitIndex1) <=> v121(constB65, bitIndex1)))),
% 8.71/6.26 inference(quant_inst,[status(thm)],[])).
% 8.71/6.26 tff(15337,plain,
% 8.71/6.26 ((~![B: $i] : ((~less_3(B)) | (v123(constB66, B) <=> v121(constB65, B)))) | (~less_3(bitIndex1)) | (v123(constB66, bitIndex1) <=> v121(constB65, bitIndex1))),
% 8.71/6.26 inference(modus_ponens,[status(thm)],[15336, 15335])).
% 8.71/6.26 tff(15338,plain,
% 8.71/6.26 (v123(constB66, bitIndex1) <=> v121(constB65, bitIndex1)),
% 8.71/6.26 inference(unit_resolution,[status(thm)],[15337, 9785, 15263])).
% 8.71/6.26 tff(15339,plain,
% 8.71/6.26 (((~![B: $i] : ((~less_3(B)) | (v121(constB65, B) <=> v124(constB65, B)))) | ((~less_3(bitIndex1)) | (v121(constB65, bitIndex1) <=> v124(constB65, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB65, B) <=> v124(constB65, B)))) | (~less_3(bitIndex1)) | (v121(constB65, bitIndex1) <=> v124(constB65, bitIndex1)))),
% 8.71/6.26 inference(rewrite,[status(thm)],[])).
% 8.71/6.26 tff(15340,plain,
% 8.71/6.26 ((~![B: $i] : ((~less_3(B)) | (v121(constB65, B) <=> v124(constB65, B)))) | ((~less_3(bitIndex1)) | (v121(constB65, bitIndex1) <=> v124(constB65, bitIndex1)))),
% 8.71/6.26 inference(quant_inst,[status(thm)],[])).
% 8.71/6.26 tff(15341,plain,
% 8.71/6.26 ((~![B: $i] : ((~less_3(B)) | (v121(constB65, B) <=> v124(constB65, B)))) | (~less_3(bitIndex1)) | (v121(constB65, bitIndex1) <=> v124(constB65, bitIndex1))),
% 8.71/6.26 inference(modus_ponens,[status(thm)],[15340, 15339])).
% 8.71/6.26 tff(15342,plain,
% 8.71/6.26 (v121(constB65, bitIndex1) <=> v124(constB65, bitIndex1)),
% 8.71/6.26 inference(unit_resolution,[status(thm)],[15341, 9785, 15271])).
% 8.71/6.26 tff(15343,plain,
% 8.71/6.26 (((~![B: $i] : ((~less_3(B)) | (v124(constB65, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v124(constB65, bitIndex1) <=> b011(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB65, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v124(constB65, bitIndex1) <=> b011(bitIndex1)))),
% 8.71/6.26 inference(rewrite,[status(thm)],[])).
% 8.71/6.26 tff(15344,plain,
% 8.71/6.26 ((~![B: $i] : ((~less_3(B)) | (v124(constB65, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v124(constB65, bitIndex1) <=> b011(bitIndex1)))),
% 8.71/6.26 inference(quant_inst,[status(thm)],[])).
% 8.71/6.26 tff(15345,plain,
% 8.71/6.26 ((~![B: $i] : ((~less_3(B)) | (v124(constB65, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v124(constB65, bitIndex1) <=> b011(bitIndex1))),
% 8.71/6.26 inference(modus_ponens,[status(thm)],[15344, 15343])).
% 8.71/6.26 tff(15346,plain,
% 8.71/6.26 (v124(constB65, bitIndex1) <=> b011(bitIndex1)),
% 8.71/6.26 inference(unit_resolution,[status(thm)],[15345, 9785, 15280])).
% 8.71/6.26 tff(15347,plain,
% 8.71/6.26 ((~(v124(constB65, bitIndex1) <=> b011(bitIndex1))) | v124(constB65, bitIndex1) | (~b011(bitIndex1))),
% 8.71/6.26 inference(tautology,[status(thm)],[])).
% 8.71/6.26 tff(15348,plain,
% 8.71/6.26 ((~(v124(constB65, bitIndex1) <=> b011(bitIndex1))) | v124(constB65, bitIndex1)),
% 8.71/6.26 inference(unit_resolution,[status(thm)],[15347, 10409])).
% 8.71/6.26 tff(15349,plain,
% 8.71/6.26 (v124(constB65, bitIndex1)),
% 8.71/6.26 inference(unit_resolution,[status(thm)],[15348, 15346])).
% 8.71/6.26 tff(15350,plain,
% 8.71/6.26 ((~(v121(constB65, bitIndex1) <=> v124(constB65, bitIndex1))) | v121(constB65, bitIndex1) | (~v124(constB65, bitIndex1))),
% 8.71/6.26 inference(tautology,[status(thm)],[])).
% 8.71/6.26 tff(15351,plain,
% 8.71/6.26 (v121(constB65, bitIndex1)),
% 8.71/6.26 inference(unit_resolution,[status(thm)],[15350, 15349, 15342])).
% 8.71/6.26 tff(15352,plain,
% 8.71/6.26 ((~(v123(constB66, bitIndex1) <=> v121(constB65, bitIndex1))) | v123(constB66, bitIndex1) | (~v121(constB65, bitIndex1))),
% 8.71/6.26 inference(tautology,[status(thm)],[])).
% 8.71/6.26 tff(15353,plain,
% 8.71/6.26 (v123(constB66, bitIndex1)),
% 8.71/6.26 inference(unit_resolution,[status(thm)],[15352, 15351, 15338])).
% 8.71/6.26 tff(15354,plain,
% 8.71/6.26 ((~(v84(constB66, bitIndex1) <=> v123(constB66, bitIndex1))) | v84(constB66, bitIndex1) | (~v123(constB66, bitIndex1))),
% 8.71/6.26 inference(tautology,[status(thm)],[])).
% 8.71/6.26 tff(15355,plain,
% 8.71/6.26 (v84(constB66, bitIndex1)),
% 8.71/6.26 inference(unit_resolution,[status(thm)],[15354, 15353, 15334])).
% 8.71/6.26 tff(15356,plain,
% 8.71/6.26 ((~(v84(constB67, bitIndex1) <=> v84(constB66, bitIndex1))) | v84(constB67, bitIndex1) | (~v84(constB66, bitIndex1))),
% 8.71/6.26 inference(tautology,[status(thm)],[])).
% 8.71/6.26 tff(15357,plain,
% 8.71/6.26 (v84(constB67, bitIndex1)),
% 8.71/6.26 inference(unit_resolution,[status(thm)],[15356, 15355, 15330])).
% 8.71/6.26 tff(15358,plain,
% 8.71/6.26 ((~(v84(constB67, bitIndex2) | (~v84(constB67, bitIndex1)) | (~v84(constB67, bitIndex0)))) | v84(constB67, bitIndex2) | (~v84(constB67, bitIndex1)) | (~v84(constB67, bitIndex0))),
% 8.71/6.26 inference(tautology,[status(thm)],[])).
% 8.71/6.26 tff(15359,plain,
% 8.71/6.26 (~(v84(constB67, bitIndex2) | (~v84(constB67, bitIndex1)) | (~v84(constB67, bitIndex0)))),
% 8.71/6.26 inference(unit_resolution,[status(thm)],[15358, 15357, 15326, 15295])).
% 8.71/6.26 tff(15360,plain,
% 8.71/6.26 ((~(v116(constB67) <=> (~(v84(constB67, bitIndex2) | (~v84(constB67, bitIndex1)) | (~v84(constB67, bitIndex0)))))) | v116(constB67) | (v84(constB67, bitIndex2) | (~v84(constB67, bitIndex1)) | (~v84(constB67, bitIndex0)))),
% 8.71/6.26 inference(tautology,[status(thm)],[])).
% 8.71/6.26 tff(15361,plain,
% 8.71/6.26 (v116(constB67)),
% 8.71/6.26 inference(unit_resolution,[status(thm)],[15360, 15359, 6709])).
% 8.71/6.26 tff(15362,plain,
% 8.71/6.26 ((v111(constB67) | v116(constB67)) | (~v116(constB67))),
% 8.71/6.26 inference(tautology,[status(thm)],[])).
% 8.71/6.26 tff(15363,plain,
% 8.71/6.26 (v111(constB67) | v116(constB67)),
% 8.71/6.26 inference(unit_resolution,[status(thm)],[15362, 15361])).
% 8.71/6.26 tff(15364,plain,
% 8.71/6.26 ((~(v110(constB67) <=> (v111(constB67) | v116(constB67)))) | v110(constB67) | (~(v111(constB67) | v116(constB67)))),
% 8.71/6.26 inference(tautology,[status(thm)],[])).
% 8.71/6.26 tff(15365,plain,
% 8.71/6.26 (v110(constB67)),
% 8.71/6.26 inference(unit_resolution,[status(thm)],[15364, 15363, 6707])).
% 8.71/6.26 tff(15366,plain,
% 8.71/6.26 ((v110(constB67) | v117(constB67)) | (~v110(constB67))),
% 8.71/6.26 inference(tautology,[status(thm)],[])).
% 8.71/6.26 tff(15367,plain,
% 8.71/6.26 (v110(constB67) | v117(constB67)),
% 8.71/6.26 inference(unit_resolution,[status(thm)],[15366, 15365])).
% 8.71/6.26 tff(15368,plain,
% 8.71/6.26 ((~(v109(constB67) <=> (v110(constB67) | v117(constB67)))) | v109(constB67) | (~(v110(constB67) | v117(constB67)))),
% 8.71/6.26 inference(tautology,[status(thm)],[])).
% 8.71/6.26 tff(15369,plain,
% 8.71/6.26 (v109(constB67)),
% 8.71/6.26 inference(unit_resolution,[status(thm)],[15368, 15367, 6705])).
% 8.71/6.26 tff(15370,plain,
% 8.71/6.26 ((v109(constB67) | v118(constB67)) | (~v109(constB67))),
% 8.71/6.26 inference(tautology,[status(thm)],[])).
% 8.71/6.26 tff(15371,plain,
% 8.71/6.26 (v109(constB67) | v118(constB67)),
% 8.71/6.26 inference(unit_resolution,[status(thm)],[15370, 15369])).
% 8.71/6.26 tff(15372,plain,
% 8.71/6.26 ((~(v108(constB67) <=> (v109(constB67) | v118(constB67)))) | v108(constB67) | (~(v109(constB67) | v118(constB67)))),
% 8.71/6.26 inference(tautology,[status(thm)],[])).
% 8.71/6.26 tff(15373,plain,
% 8.71/6.26 (v108(constB67)),
% 8.71/6.26 inference(unit_resolution,[status(thm)],[15372, 15371, 6703])).
% 8.71/6.26 tff(15374,plain,
% 8.71/6.26 ((v108(constB67) | v119(constB67)) | (~v108(constB67))),
% 8.71/6.26 inference(tautology,[status(thm)],[])).
% 8.71/6.26 tff(15375,plain,
% 8.71/6.26 (v108(constB67) | v119(constB67)),
% 8.71/6.26 inference(unit_resolution,[status(thm)],[15374, 15373])).
% 8.71/6.26 tff(15376,plain,
% 8.71/6.26 ((~(v107(constB67) <=> (v108(constB67) | v119(constB67)))) | v107(constB67) | (~(v108(constB67) | v119(constB67)))),
% 8.71/6.26 inference(tautology,[status(thm)],[])).
% 8.71/6.26 tff(15377,plain,
% 8.71/6.26 (v107(constB67)),
% 8.71/6.26 inference(unit_resolution,[status(thm)],[15376, 15375, 6701])).
% 8.71/6.26 tff(15378,plain,
% 8.71/6.26 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB67)) <=> v105(constB67))),
% 8.71/6.26 inference(quant_inst,[status(thm)],[])).
% 8.71/6.26 tff(15379,plain,
% 8.71/6.26 ((~v120(constB67)) <=> v105(constB67)),
% 8.71/6.26 inference(unit_resolution,[status(thm)],[15378, 9842])).
% 8.71/6.26 tff(15380,plain,
% 8.71/6.26 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB67) <=> v26(constB67))),
% 8.71/6.26 inference(quant_inst,[status(thm)],[])).
% 8.71/6.26 tff(15381,plain,
% 8.71/6.26 (v105(constB67) <=> v26(constB67)),
% 8.71/6.26 inference(unit_resolution,[status(thm)],[15380, 9854])).
% 8.71/6.26 tff(15382,plain,
% 8.71/6.26 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB67))),
% 8.71/6.26 inference(quant_inst,[status(thm)],[])).
% 8.71/6.26 tff(15383,plain,
% 8.71/6.26 (~v26(constB67)),
% 8.71/6.26 inference(unit_resolution,[status(thm)],[15382, 9866])).
% 8.71/6.26 tff(15384,plain,
% 8.71/6.26 ((~(v105(constB67) <=> v26(constB67))) | (~v105(constB67)) | v26(constB67)),
% 8.71/6.26 inference(tautology,[status(thm)],[])).
% 8.71/6.26 tff(15385,plain,
% 8.71/6.26 ((~(v105(constB67) <=> v26(constB67))) | (~v105(constB67))),
% 8.71/6.26 inference(unit_resolution,[status(thm)],[15384, 15383])).
% 8.71/6.26 tff(15386,plain,
% 8.71/6.26 (~v105(constB67)),
% 8.71/6.26 inference(unit_resolution,[status(thm)],[15385, 15381])).
% 8.71/6.26 tff(15387,plain,
% 8.71/6.26 ((~((~v120(constB67)) <=> v105(constB67))) | v120(constB67) | v105(constB67)),
% 8.71/6.26 inference(tautology,[status(thm)],[])).
% 8.71/6.26 tff(15388,plain,
% 8.71/6.26 ((~((~v120(constB67)) <=> v105(constB67))) | v120(constB67)),
% 8.71/6.26 inference(unit_resolution,[status(thm)],[15387, 15386])).
% 8.71/6.26 tff(15389,plain,
% 8.71/6.26 (v120(constB67)),
% 8.71/6.26 inference(unit_resolution,[status(thm)],[15388, 15379])).
% 8.71/6.26 tff(15390,plain,
% 8.71/6.26 ((~((~v107(constB67)) | (~v120(constB67)))) | (~v107(constB67)) | (~v120(constB67))),
% 8.71/6.26 inference(tautology,[status(thm)],[])).
% 8.71/6.26 tff(15391,plain,
% 8.71/6.26 ((~((~v107(constB67)) | (~v120(constB67)))) | (~v107(constB67))),
% 8.71/6.26 inference(unit_resolution,[status(thm)],[15390, 15389])).
% 8.71/6.26 tff(15392,plain,
% 8.71/6.26 (~((~v107(constB67)) | (~v120(constB67)))),
% 8.71/6.26 inference(unit_resolution,[status(thm)],[15391, 15377])).
% 8.71/6.26 tff(15393,plain,
% 8.71/6.26 ((~(v106(constB67) <=> (~((~v107(constB67)) | (~v120(constB67)))))) | v106(constB67) | ((~v107(constB67)) | (~v120(constB67)))),
% 8.71/6.26 inference(tautology,[status(thm)],[])).
% 8.71/6.26 tff(15394,plain,
% 8.71/6.26 (v106(constB67)),
% 8.71/6.26 inference(unit_resolution,[status(thm)],[15393, 15392, 6699])).
% 8.71/6.26 tff(15395,plain,
% 8.71/6.26 ((v105(constB67) | v106(constB67)) | (~v106(constB67))),
% 8.71/6.26 inference(tautology,[status(thm)],[])).
% 8.71/6.26 tff(15396,plain,
% 8.71/6.26 (v105(constB67) | v106(constB67)),
% 8.71/6.26 inference(unit_resolution,[status(thm)],[15395, 15394])).
% 8.71/6.26 tff(15397,plain,
% 8.71/6.26 ((~(v102(constB67) <=> (v105(constB67) | v106(constB67)))) | v102(constB67) | (~(v105(constB67) | v106(constB67)))),
% 8.71/6.26 inference(tautology,[status(thm)],[])).
% 8.71/6.26 tff(15398,plain,
% 8.71/6.26 (v102(constB67)),
% 8.71/6.26 inference(unit_resolution,[status(thm)],[15397, 15396, 6697])).
% 8.71/6.26 tff(15399,plain,
% 8.71/6.26 ((~(v104(constB68) <=> v102(constB67))) | v104(constB68) | (~v102(constB67))),
% 8.71/6.26 inference(tautology,[status(thm)],[])).
% 8.71/6.26 tff(15400,plain,
% 8.71/6.26 (v104(constB68)),
% 8.71/6.26 inference(unit_resolution,[status(thm)],[15399, 15398, 6695])).
% 8.71/6.26 tff(15401,plain,
% 8.71/6.26 ((~((~v104(constB68)) | (~v95(constB68)))) | (~v104(constB68)) | (~v95(constB68))),
% 8.71/6.26 inference(tautology,[status(thm)],[])).
% 8.71/6.26 tff(15402,plain,
% 8.71/6.26 (~((~v104(constB68)) | (~v95(constB68)))),
% 8.71/6.26 inference(unit_resolution,[status(thm)],[15401, 15400, 6691])).
% 8.71/6.26 tff(15403,plain,
% 8.71/6.26 ((~(v94(constB68) <=> (~((~v104(constB68)) | (~v95(constB68)))))) | v94(constB68) | ((~v104(constB68)) | (~v95(constB68)))),
% 8.71/6.26 inference(tautology,[status(thm)],[])).
% 8.71/6.26 tff(15404,plain,
% 8.71/6.26 (v94(constB68)),
% 8.71/6.26 inference(unit_resolution,[status(thm)],[15403, 15402, 6660])).
% 8.71/6.26 tff(15405,plain,
% 8.71/6.26 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB68)) | ![B: $i] : ((~less_3(B)) | (v84(constB68, B) <=> v123(constB68, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB68)) | ![B: $i] : ((~less_3(B)) | (v84(constB68, B) <=> v123(constB68, B))))),
% 8.71/6.26 inference(rewrite,[status(thm)],[])).
% 8.71/6.26 tff(15406,plain,
% 8.71/6.26 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB68)) | ![B: $i] : ((~less_3(B)) | (v84(constB68, B) <=> v123(constB68, B))))),
% 8.71/6.26 inference(quant_inst,[status(thm)],[])).
% 8.71/6.26 tff(15407,plain,
% 8.71/6.26 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB68)) | ![B: $i] : ((~less_3(B)) | (v84(constB68, B) <=> v123(constB68, B)))),
% 8.71/6.26 inference(modus_ponens,[status(thm)],[15406, 15405])).
% 8.71/6.26 tff(15408,plain,
% 8.71/6.26 ((~v94(constB68)) | ![B: $i] : ((~less_3(B)) | (v84(constB68, B) <=> v123(constB68, B)))),
% 8.71/6.26 inference(unit_resolution,[status(thm)],[15407, 9902])).
% 8.71/6.26 tff(15409,plain,
% 8.71/6.26 (![B: $i] : ((~less_3(B)) | (v84(constB68, B) <=> v123(constB68, B)))),
% 8.71/6.26 inference(unit_resolution,[status(thm)],[15408, 15404])).
% 8.71/6.26 tff(15410,plain,
% 8.71/6.26 (((~![B: $i] : ((~less_3(B)) | (v84(constB68, B) <=> v123(constB68, B)))) | ((~less_3(bitIndex2)) | (v84(constB68, bitIndex2) <=> v123(constB68, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB68, B) <=> v123(constB68, B)))) | (~less_3(bitIndex2)) | (v84(constB68, bitIndex2) <=> v123(constB68, bitIndex2)))),
% 8.71/6.26 inference(rewrite,[status(thm)],[])).
% 8.71/6.26 tff(15411,plain,
% 8.71/6.26 ((~![B: $i] : ((~less_3(B)) | (v84(constB68, B) <=> v123(constB68, B)))) | ((~less_3(bitIndex2)) | (v84(constB68, bitIndex2) <=> v123(constB68, bitIndex2)))),
% 8.71/6.26 inference(quant_inst,[status(thm)],[])).
% 8.71/6.26 tff(15412,plain,
% 8.71/6.26 ((~![B: $i] : ((~less_3(B)) | (v84(constB68, B) <=> v123(constB68, B)))) | (~less_3(bitIndex2)) | (v84(constB68, bitIndex2) <=> v123(constB68, bitIndex2))),
% 8.71/6.26 inference(modus_ponens,[status(thm)],[15411, 15410])).
% 8.71/6.26 tff(15413,plain,
% 8.71/6.26 (v84(constB68, bitIndex2) <=> v123(constB68, bitIndex2)),
% 8.71/6.26 inference(unit_resolution,[status(thm)],[15412, 832, 15409])).
% 8.71/6.26 tff(15414,plain,
% 8.71/6.26 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB67, constB68)) | ![B: $i] : ((~less_3(B)) | (v123(constB68, B) <=> v121(constB67, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB67, constB68)) | ![B: $i] : ((~less_3(B)) | (v123(constB68, B) <=> v121(constB67, B))))),
% 8.71/6.26 inference(rewrite,[status(thm)],[])).
% 8.71/6.26 tff(15415,plain,
% 8.71/6.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB67, constB68)) | ![B: $i] : ((~less_3(B)) | (v123(constB68, B) <=> v121(constB67, B))))),
% 8.71/6.26 inference(quant_inst,[status(thm)],[])).
% 8.71/6.26 tff(15416,plain,
% 8.71/6.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB67, constB68)) | ![B: $i] : ((~less_3(B)) | (v123(constB68, B) <=> v121(constB67, B)))),
% 8.71/6.26 inference(modus_ponens,[status(thm)],[15415, 15414])).
% 8.71/6.26 tff(15417,plain,
% 8.71/6.26 (![B: $i] : ((~less_3(B)) | (v123(constB68, B) <=> v121(constB67, B)))),
% 8.71/6.26 inference(unit_resolution,[status(thm)],[15416, 6656, 9924])).
% 8.71/6.26 tff(15418,plain,
% 8.71/6.26 (((~![B: $i] : ((~less_3(B)) | (v123(constB68, B) <=> v121(constB67, B)))) | ((~less_3(bitIndex2)) | (v123(constB68, bitIndex2) <=> v121(constB67, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB68, B) <=> v121(constB67, B)))) | (~less_3(bitIndex2)) | (v123(constB68, bitIndex2) <=> v121(constB67, bitIndex2)))),
% 8.71/6.26 inference(rewrite,[status(thm)],[])).
% 8.71/6.26 tff(15419,plain,
% 8.71/6.26 ((~![B: $i] : ((~less_3(B)) | (v123(constB68, B) <=> v121(constB67, B)))) | ((~less_3(bitIndex2)) | (v123(constB68, bitIndex2) <=> v121(constB67, bitIndex2)))),
% 8.71/6.26 inference(quant_inst,[status(thm)],[])).
% 8.71/6.26 tff(15420,plain,
% 8.71/6.26 ((~![B: $i] : ((~less_3(B)) | (v123(constB68, B) <=> v121(constB67, B)))) | (~less_3(bitIndex2)) | (v123(constB68, bitIndex2) <=> v121(constB67, bitIndex2))),
% 8.71/6.26 inference(modus_ponens,[status(thm)],[15419, 15418])).
% 8.71/6.26 tff(15421,plain,
% 8.71/6.26 (v123(constB68, bitIndex2) <=> v121(constB67, bitIndex2)),
% 8.71/6.26 inference(unit_resolution,[status(thm)],[15420, 832, 15417])).
% 8.71/6.26 tff(15422,plain,
% 8.71/6.26 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB67) | ![B: $i] : ((~less_3(B)) | (v121(constB67, B) <=> v124(constB67, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB67) | ![B: $i] : ((~less_3(B)) | (v121(constB67, B) <=> v124(constB67, B))))),
% 8.71/6.26 inference(rewrite,[status(thm)],[])).
% 8.71/6.26 tff(15423,plain,
% 8.71/6.26 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB67) | ![B: $i] : ((~less_3(B)) | (v121(constB67, B) <=> v124(constB67, B))))),
% 8.71/6.26 inference(quant_inst,[status(thm)],[])).
% 8.71/6.26 tff(15424,plain,
% 8.71/6.26 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB67) | ![B: $i] : ((~less_3(B)) | (v121(constB67, B) <=> v124(constB67, B)))),
% 8.71/6.26 inference(modus_ponens,[status(thm)],[15423, 15422])).
% 8.71/6.26 tff(15425,plain,
% 8.71/6.26 (![B: $i] : ((~less_3(B)) | (v121(constB67, B) <=> v124(constB67, B)))),
% 8.71/6.26 inference(unit_resolution,[status(thm)],[15424, 9945, 15386])).
% 8.71/6.26 tff(15426,plain,
% 8.71/6.26 (((~![B: $i] : ((~less_3(B)) | (v121(constB67, B) <=> v124(constB67, B)))) | ((~less_3(bitIndex2)) | (v121(constB67, bitIndex2) <=> v124(constB67, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB67, B) <=> v124(constB67, B)))) | (~less_3(bitIndex2)) | (v121(constB67, bitIndex2) <=> v124(constB67, bitIndex2)))),
% 8.71/6.26 inference(rewrite,[status(thm)],[])).
% 8.71/6.26 tff(15427,plain,
% 8.71/6.26 ((~![B: $i] : ((~less_3(B)) | (v121(constB67, B) <=> v124(constB67, B)))) | ((~less_3(bitIndex2)) | (v121(constB67, bitIndex2) <=> v124(constB67, bitIndex2)))),
% 8.71/6.26 inference(quant_inst,[status(thm)],[])).
% 8.71/6.26 tff(15428,plain,
% 8.71/6.26 ((~![B: $i] : ((~less_3(B)) | (v121(constB67, B) <=> v124(constB67, B)))) | (~less_3(bitIndex2)) | (v121(constB67, bitIndex2) <=> v124(constB67, bitIndex2))),
% 8.71/6.26 inference(modus_ponens,[status(thm)],[15427, 15426])).
% 8.71/6.26 tff(15429,plain,
% 8.71/6.26 (v121(constB67, bitIndex2) <=> v124(constB67, bitIndex2)),
% 8.71/6.26 inference(unit_resolution,[status(thm)],[15428, 832, 15425])).
% 8.71/6.26 tff(15430,plain,
% 8.71/6.26 (((~![VarCurr: $i] : ((~v116(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b100(B))))) | ((~v116(constB67)) | ![B: $i] : ((~less_3(B)) | (v124(constB67, B) <=> b100(B))))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b100(B))))) | (~v116(constB67)) | ![B: $i] : ((~less_3(B)) | (v124(constB67, B) <=> b100(B))))),
% 8.71/6.26 inference(rewrite,[status(thm)],[])).
% 8.71/6.26 tff(15431,plain,
% 8.71/6.26 ((~![VarCurr: $i] : ((~v116(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b100(B))))) | ((~v116(constB67)) | ![B: $i] : ((~less_3(B)) | (v124(constB67, B) <=> b100(B))))),
% 8.71/6.26 inference(quant_inst,[status(thm)],[])).
% 8.71/6.26 tff(15432,plain,
% 8.71/6.26 ((~![VarCurr: $i] : ((~v116(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b100(B))))) | (~v116(constB67)) | ![B: $i] : ((~less_3(B)) | (v124(constB67, B) <=> b100(B)))),
% 8.71/6.26 inference(modus_ponens,[status(thm)],[15431, 15430])).
% 8.71/6.26 tff(15433,plain,
% 8.71/6.26 ((~v116(constB67)) | ![B: $i] : ((~less_3(B)) | (v124(constB67, B) <=> b100(B)))),
% 8.71/6.26 inference(unit_resolution,[status(thm)],[15432, 10505])).
% 8.71/6.26 tff(15434,plain,
% 8.71/6.26 (![B: $i] : ((~less_3(B)) | (v124(constB67, B) <=> b100(B)))),
% 8.71/6.26 inference(unit_resolution,[status(thm)],[15433, 15361])).
% 8.71/6.26 tff(15435,plain,
% 8.71/6.26 (((~![B: $i] : ((~less_3(B)) | (v124(constB67, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v124(constB67, bitIndex2) <=> b100(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB67, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v124(constB67, bitIndex2) <=> b100(bitIndex2)))),
% 8.71/6.26 inference(rewrite,[status(thm)],[])).
% 8.71/6.26 tff(15436,plain,
% 8.71/6.26 ((~![B: $i] : ((~less_3(B)) | (v124(constB67, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v124(constB67, bitIndex2) <=> b100(bitIndex2)))),
% 8.71/6.26 inference(quant_inst,[status(thm)],[])).
% 8.71/6.26 tff(15437,plain,
% 8.71/6.26 ((~![B: $i] : ((~less_3(B)) | (v124(constB67, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v124(constB67, bitIndex2) <=> b100(bitIndex2))),
% 8.71/6.26 inference(modus_ponens,[status(thm)],[15436, 15435])).
% 8.71/6.26 tff(15438,plain,
% 8.71/6.26 (v124(constB67, bitIndex2) <=> b100(bitIndex2)),
% 8.71/6.26 inference(unit_resolution,[status(thm)],[15437, 832, 15434])).
% 8.71/6.26 tff(15439,plain,
% 8.71/6.26 ((~(v124(constB67, bitIndex2) <=> b100(bitIndex2))) | v124(constB67, bitIndex2) | (~b100(bitIndex2))),
% 8.71/6.26 inference(tautology,[status(thm)],[])).
% 8.71/6.26 tff(15440,plain,
% 8.71/6.26 ((~(v124(constB67, bitIndex2) <=> b100(bitIndex2))) | v124(constB67, bitIndex2)),
% 8.71/6.26 inference(unit_resolution,[status(thm)],[15439, 10517])).
% 8.71/6.26 tff(15441,plain,
% 8.71/6.26 (v124(constB67, bitIndex2)),
% 8.71/6.26 inference(unit_resolution,[status(thm)],[15440, 15438])).
% 8.71/6.26 tff(15442,plain,
% 8.71/6.26 ((~(v121(constB67, bitIndex2) <=> v124(constB67, bitIndex2))) | v121(constB67, bitIndex2) | (~v124(constB67, bitIndex2))),
% 8.71/6.26 inference(tautology,[status(thm)],[])).
% 8.71/6.26 tff(15443,plain,
% 8.71/6.26 (v121(constB67, bitIndex2)),
% 8.71/6.26 inference(unit_resolution,[status(thm)],[15442, 15441, 15429])).
% 8.71/6.26 tff(15444,plain,
% 8.71/6.26 ((~(v123(constB68, bitIndex2) <=> v121(constB67, bitIndex2))) | v123(constB68, bitIndex2) | (~v121(constB67, bitIndex2))),
% 8.71/6.26 inference(tautology,[status(thm)],[])).
% 8.71/6.26 tff(15445,plain,
% 8.71/6.26 (v123(constB68, bitIndex2)),
% 8.71/6.26 inference(unit_resolution,[status(thm)],[15444, 15443, 15421])).
% 8.71/6.26 tff(15446,plain,
% 8.71/6.26 ((~(v84(constB68, bitIndex2) <=> v123(constB68, bitIndex2))) | v84(constB68, bitIndex2) | (~v123(constB68, bitIndex2))),
% 8.71/6.26 inference(tautology,[status(thm)],[])).
% 8.71/6.26 tff(15447,plain,
% 8.71/6.26 (v84(constB68, bitIndex2)),
% 8.71/6.26 inference(unit_resolution,[status(thm)],[15446, 15445, 15413])).
% 8.71/6.26 tff(15448,plain,
% 8.71/6.26 ((~(v84(constB69, bitIndex2) <=> v84(constB68, bitIndex2))) | v84(constB69, bitIndex2) | (~v84(constB68, bitIndex2))),
% 8.71/6.26 inference(tautology,[status(thm)],[])).
% 8.71/6.26 tff(15449,plain,
% 8.71/6.26 (v84(constB69, bitIndex2)),
% 8.71/6.26 inference(unit_resolution,[status(thm)],[15448, 15447, 6653])).
% 8.71/6.26 tff(15450,plain,
% 8.71/6.26 (((~![B: $i] : ((~less_3(B)) | (v84(constB69, B) <=> v84(constB68, B)))) | ((~less_3(bitIndex0)) | (v84(constB69, bitIndex0) <=> v84(constB68, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB69, B) <=> v84(constB68, B)))) | (~less_3(bitIndex0)) | (v84(constB69, bitIndex0) <=> v84(constB68, bitIndex0)))),
% 8.71/6.26 inference(rewrite,[status(thm)],[])).
% 8.71/6.26 tff(15451,plain,
% 8.71/6.26 ((~![B: $i] : ((~less_3(B)) | (v84(constB69, B) <=> v84(constB68, B)))) | ((~less_3(bitIndex0)) | (v84(constB69, bitIndex0) <=> v84(constB68, bitIndex0)))),
% 8.71/6.26 inference(quant_inst,[status(thm)],[])).
% 8.71/6.26 tff(15452,plain,
% 8.71/6.26 ((~![B: $i] : ((~less_3(B)) | (v84(constB69, B) <=> v84(constB68, B)))) | (~less_3(bitIndex0)) | (v84(constB69, bitIndex0) <=> v84(constB68, bitIndex0))),
% 8.71/6.26 inference(modus_ponens,[status(thm)],[15451, 15450])).
% 8.71/6.26 tff(15453,plain,
% 8.71/6.26 (v84(constB69, bitIndex0) <=> v84(constB68, bitIndex0)),
% 8.71/6.26 inference(unit_resolution,[status(thm)],[15452, 9772, 6649])).
% 8.71/6.26 tff(15454,plain,
% 8.71/6.26 (((~![B: $i] : ((~less_3(B)) | (v84(constB68, B) <=> v123(constB68, B)))) | ((~less_3(bitIndex0)) | (v84(constB68, bitIndex0) <=> v123(constB68, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB68, B) <=> v123(constB68, B)))) | (~less_3(bitIndex0)) | (v84(constB68, bitIndex0) <=> v123(constB68, bitIndex0)))),
% 8.71/6.26 inference(rewrite,[status(thm)],[])).
% 8.71/6.26 tff(15455,plain,
% 8.71/6.26 ((~![B: $i] : ((~less_3(B)) | (v84(constB68, B) <=> v123(constB68, B)))) | ((~less_3(bitIndex0)) | (v84(constB68, bitIndex0) <=> v123(constB68, bitIndex0)))),
% 8.71/6.26 inference(quant_inst,[status(thm)],[])).
% 8.71/6.26 tff(15456,plain,
% 8.71/6.26 ((~![B: $i] : ((~less_3(B)) | (v84(constB68, B) <=> v123(constB68, B)))) | (~less_3(bitIndex0)) | (v84(constB68, bitIndex0) <=> v123(constB68, bitIndex0))),
% 8.71/6.26 inference(modus_ponens,[status(thm)],[15455, 15454])).
% 8.71/6.26 tff(15457,plain,
% 8.71/6.26 (v84(constB68, bitIndex0) <=> v123(constB68, bitIndex0)),
% 8.71/6.26 inference(unit_resolution,[status(thm)],[15456, 9772, 15409])).
% 8.71/6.26 tff(15458,plain,
% 8.71/6.26 (((~![B: $i] : ((~less_3(B)) | (v123(constB68, B) <=> v121(constB67, B)))) | ((~less_3(bitIndex0)) | (v123(constB68, bitIndex0) <=> v121(constB67, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB68, B) <=> v121(constB67, B)))) | (~less_3(bitIndex0)) | (v123(constB68, bitIndex0) <=> v121(constB67, bitIndex0)))),
% 8.71/6.26 inference(rewrite,[status(thm)],[])).
% 8.71/6.26 tff(15459,plain,
% 8.71/6.26 ((~![B: $i] : ((~less_3(B)) | (v123(constB68, B) <=> v121(constB67, B)))) | ((~less_3(bitIndex0)) | (v123(constB68, bitIndex0) <=> v121(constB67, bitIndex0)))),
% 8.71/6.26 inference(quant_inst,[status(thm)],[])).
% 8.71/6.26 tff(15460,plain,
% 8.71/6.26 ((~![B: $i] : ((~less_3(B)) | (v123(constB68, B) <=> v121(constB67, B)))) | (~less_3(bitIndex0)) | (v123(constB68, bitIndex0) <=> v121(constB67, bitIndex0))),
% 8.71/6.26 inference(modus_ponens,[status(thm)],[15459, 15458])).
% 8.71/6.26 tff(15461,plain,
% 8.71/6.26 (v123(constB68, bitIndex0) <=> v121(constB67, bitIndex0)),
% 8.71/6.26 inference(unit_resolution,[status(thm)],[15460, 9772, 15417])).
% 8.71/6.26 tff(15462,plain,
% 8.71/6.26 (((~![B: $i] : ((~less_3(B)) | (v121(constB67, B) <=> v124(constB67, B)))) | ((~less_3(bitIndex0)) | (v121(constB67, bitIndex0) <=> v124(constB67, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB67, B) <=> v124(constB67, B)))) | (~less_3(bitIndex0)) | (v121(constB67, bitIndex0) <=> v124(constB67, bitIndex0)))),
% 8.71/6.26 inference(rewrite,[status(thm)],[])).
% 8.71/6.26 tff(15463,plain,
% 8.71/6.26 ((~![B: $i] : ((~less_3(B)) | (v121(constB67, B) <=> v124(constB67, B)))) | ((~less_3(bitIndex0)) | (v121(constB67, bitIndex0) <=> v124(constB67, bitIndex0)))),
% 8.71/6.26 inference(quant_inst,[status(thm)],[])).
% 8.71/6.26 tff(15464,plain,
% 8.71/6.26 ((~![B: $i] : ((~less_3(B)) | (v121(constB67, B) <=> v124(constB67, B)))) | (~less_3(bitIndex0)) | (v121(constB67, bitIndex0) <=> v124(constB67, bitIndex0))),
% 8.71/6.26 inference(modus_ponens,[status(thm)],[15463, 15462])).
% 8.71/6.26 tff(15465,plain,
% 8.71/6.26 (v121(constB67, bitIndex0) <=> v124(constB67, bitIndex0)),
% 8.71/6.26 inference(unit_resolution,[status(thm)],[15464, 9772, 15425])).
% 8.71/6.26 tff(15466,plain,
% 8.71/6.26 (((~![B: $i] : ((~less_3(B)) | (v124(constB67, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v124(constB67, bitIndex0) <=> b100(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB67, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v124(constB67, bitIndex0) <=> b100(bitIndex0)))),
% 8.71/6.26 inference(rewrite,[status(thm)],[])).
% 8.71/6.26 tff(15467,plain,
% 8.71/6.26 ((~![B: $i] : ((~less_3(B)) | (v124(constB67, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v124(constB67, bitIndex0) <=> b100(bitIndex0)))),
% 8.71/6.26 inference(quant_inst,[status(thm)],[])).
% 8.71/6.26 tff(15468,plain,
% 8.71/6.26 ((~![B: $i] : ((~less_3(B)) | (v124(constB67, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v124(constB67, bitIndex0) <=> b100(bitIndex0))),
% 8.71/6.26 inference(modus_ponens,[status(thm)],[15467, 15466])).
% 8.71/6.26 tff(15469,plain,
% 8.71/6.26 (v124(constB67, bitIndex0) <=> b100(bitIndex0)),
% 8.71/6.26 inference(unit_resolution,[status(thm)],[15468, 9772, 15434])).
% 8.71/6.26 tff(15470,plain,
% 8.71/6.26 ((~(v124(constB67, bitIndex0) <=> b100(bitIndex0))) | (~v124(constB67, bitIndex0)) | b100(bitIndex0)),
% 8.71/6.26 inference(tautology,[status(thm)],[])).
% 8.71/6.26 tff(15471,plain,
% 8.71/6.26 ((~(v124(constB67, bitIndex0) <=> b100(bitIndex0))) | (~v124(constB67, bitIndex0))),
% 8.71/6.26 inference(unit_resolution,[status(thm)],[15470, 10551])).
% 8.71/6.26 tff(15472,plain,
% 8.71/6.26 (~v124(constB67, bitIndex0)),
% 8.71/6.26 inference(unit_resolution,[status(thm)],[15471, 15469])).
% 8.71/6.26 tff(15473,plain,
% 8.71/6.26 ((~(v121(constB67, bitIndex0) <=> v124(constB67, bitIndex0))) | (~v121(constB67, bitIndex0)) | v124(constB67, bitIndex0)),
% 8.71/6.26 inference(tautology,[status(thm)],[])).
% 8.71/6.26 tff(15474,plain,
% 8.71/6.26 (~v121(constB67, bitIndex0)),
% 8.71/6.26 inference(unit_resolution,[status(thm)],[15473, 15472, 15465])).
% 8.71/6.26 tff(15475,plain,
% 8.71/6.26 ((~(v123(constB68, bitIndex0) <=> v121(constB67, bitIndex0))) | (~v123(constB68, bitIndex0)) | v121(constB67, bitIndex0)),
% 8.71/6.26 inference(tautology,[status(thm)],[])).
% 8.71/6.26 tff(15476,plain,
% 8.71/6.26 (~v123(constB68, bitIndex0)),
% 8.71/6.26 inference(unit_resolution,[status(thm)],[15475, 15474, 15461])).
% 8.71/6.26 tff(15477,plain,
% 8.71/6.26 ((~(v84(constB68, bitIndex0) <=> v123(constB68, bitIndex0))) | (~v84(constB68, bitIndex0)) | v123(constB68, bitIndex0)),
% 8.71/6.26 inference(tautology,[status(thm)],[])).
% 8.71/6.26 tff(15478,plain,
% 8.71/6.26 (~v84(constB68, bitIndex0)),
% 8.71/6.26 inference(unit_resolution,[status(thm)],[15477, 15476, 15457])).
% 8.71/6.26 tff(15479,plain,
% 8.71/6.26 ((~(v84(constB69, bitIndex0) <=> v84(constB68, bitIndex0))) | (~v84(constB69, bitIndex0)) | v84(constB68, bitIndex0)),
% 8.71/6.26 inference(tautology,[status(thm)],[])).
% 8.71/6.26 tff(15480,plain,
% 8.71/6.26 (~v84(constB69, bitIndex0)),
% 8.71/6.26 inference(unit_resolution,[status(thm)],[15479, 15478, 15453])).
% 8.71/6.26 tff(15481,plain,
% 8.71/6.26 (((~![B: $i] : ((~less_3(B)) | (v84(constB69, B) <=> v84(constB68, B)))) | ((~less_3(bitIndex1)) | (v84(constB69, bitIndex1) <=> v84(constB68, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB69, B) <=> v84(constB68, B)))) | (~less_3(bitIndex1)) | (v84(constB69, bitIndex1) <=> v84(constB68, bitIndex1)))),
% 8.71/6.26 inference(rewrite,[status(thm)],[])).
% 8.71/6.26 tff(15482,plain,
% 8.71/6.26 ((~![B: $i] : ((~less_3(B)) | (v84(constB69, B) <=> v84(constB68, B)))) | ((~less_3(bitIndex1)) | (v84(constB69, bitIndex1) <=> v84(constB68, bitIndex1)))),
% 8.71/6.26 inference(quant_inst,[status(thm)],[])).
% 8.71/6.26 tff(15483,plain,
% 8.71/6.26 ((~![B: $i] : ((~less_3(B)) | (v84(constB69, B) <=> v84(constB68, B)))) | (~less_3(bitIndex1)) | (v84(constB69, bitIndex1) <=> v84(constB68, bitIndex1))),
% 8.71/6.26 inference(modus_ponens,[status(thm)],[15482, 15481])).
% 8.71/6.26 tff(15484,plain,
% 8.71/6.26 (v84(constB69, bitIndex1) <=> v84(constB68, bitIndex1)),
% 8.71/6.26 inference(unit_resolution,[status(thm)],[15483, 9785, 6649])).
% 8.71/6.26 tff(15485,plain,
% 8.71/6.26 (((~![B: $i] : ((~less_3(B)) | (v84(constB68, B) <=> v123(constB68, B)))) | ((~less_3(bitIndex1)) | (v84(constB68, bitIndex1) <=> v123(constB68, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB68, B) <=> v123(constB68, B)))) | (~less_3(bitIndex1)) | (v84(constB68, bitIndex1) <=> v123(constB68, bitIndex1)))),
% 8.71/6.26 inference(rewrite,[status(thm)],[])).
% 8.71/6.26 tff(15486,plain,
% 8.71/6.26 ((~![B: $i] : ((~less_3(B)) | (v84(constB68, B) <=> v123(constB68, B)))) | ((~less_3(bitIndex1)) | (v84(constB68, bitIndex1) <=> v123(constB68, bitIndex1)))),
% 8.71/6.26 inference(quant_inst,[status(thm)],[])).
% 8.71/6.26 tff(15487,plain,
% 8.71/6.26 ((~![B: $i] : ((~less_3(B)) | (v84(constB68, B) <=> v123(constB68, B)))) | (~less_3(bitIndex1)) | (v84(constB68, bitIndex1) <=> v123(constB68, bitIndex1))),
% 8.71/6.26 inference(modus_ponens,[status(thm)],[15486, 15485])).
% 8.71/6.26 tff(15488,plain,
% 8.71/6.26 (v84(constB68, bitIndex1) <=> v123(constB68, bitIndex1)),
% 8.71/6.26 inference(unit_resolution,[status(thm)],[15487, 9785, 15409])).
% 8.71/6.26 tff(15489,plain,
% 8.71/6.26 (((~![B: $i] : ((~less_3(B)) | (v123(constB68, B) <=> v121(constB67, B)))) | ((~less_3(bitIndex1)) | (v123(constB68, bitIndex1) <=> v121(constB67, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB68, B) <=> v121(constB67, B)))) | (~less_3(bitIndex1)) | (v123(constB68, bitIndex1) <=> v121(constB67, bitIndex1)))),
% 8.71/6.26 inference(rewrite,[status(thm)],[])).
% 8.71/6.26 tff(15490,plain,
% 8.71/6.26 ((~![B: $i] : ((~less_3(B)) | (v123(constB68, B) <=> v121(constB67, B)))) | ((~less_3(bitIndex1)) | (v123(constB68, bitIndex1) <=> v121(constB67, bitIndex1)))),
% 8.71/6.26 inference(quant_inst,[status(thm)],[])).
% 8.71/6.26 tff(15491,plain,
% 8.71/6.26 ((~![B: $i] : ((~less_3(B)) | (v123(constB68, B) <=> v121(constB67, B)))) | (~less_3(bitIndex1)) | (v123(constB68, bitIndex1) <=> v121(constB67, bitIndex1))),
% 8.71/6.26 inference(modus_ponens,[status(thm)],[15490, 15489])).
% 8.71/6.26 tff(15492,plain,
% 8.71/6.26 (v123(constB68, bitIndex1) <=> v121(constB67, bitIndex1)),
% 8.71/6.26 inference(unit_resolution,[status(thm)],[15491, 9785, 15417])).
% 8.71/6.26 tff(15493,plain,
% 8.71/6.26 (((~![B: $i] : ((~less_3(B)) | (v121(constB67, B) <=> v124(constB67, B)))) | ((~less_3(bitIndex1)) | (v121(constB67, bitIndex1) <=> v124(constB67, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB67, B) <=> v124(constB67, B)))) | (~less_3(bitIndex1)) | (v121(constB67, bitIndex1) <=> v124(constB67, bitIndex1)))),
% 8.71/6.26 inference(rewrite,[status(thm)],[])).
% 8.71/6.26 tff(15494,plain,
% 8.71/6.26 ((~![B: $i] : ((~less_3(B)) | (v121(constB67, B) <=> v124(constB67, B)))) | ((~less_3(bitIndex1)) | (v121(constB67, bitIndex1) <=> v124(constB67, bitIndex1)))),
% 8.71/6.26 inference(quant_inst,[status(thm)],[])).
% 8.71/6.26 tff(15495,plain,
% 8.71/6.26 ((~![B: $i] : ((~less_3(B)) | (v121(constB67, B) <=> v124(constB67, B)))) | (~less_3(bitIndex1)) | (v121(constB67, bitIndex1) <=> v124(constB67, bitIndex1))),
% 8.71/6.26 inference(modus_ponens,[status(thm)],[15494, 15493])).
% 8.71/6.26 tff(15496,plain,
% 8.71/6.26 (v121(constB67, bitIndex1) <=> v124(constB67, bitIndex1)),
% 8.71/6.26 inference(unit_resolution,[status(thm)],[15495, 9785, 15425])).
% 8.71/6.26 tff(15497,plain,
% 8.71/6.26 (((~![B: $i] : ((~less_3(B)) | (v124(constB67, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v124(constB67, bitIndex1) <=> b100(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB67, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v124(constB67, bitIndex1) <=> b100(bitIndex1)))),
% 8.71/6.26 inference(rewrite,[status(thm)],[])).
% 8.71/6.26 tff(15498,plain,
% 8.71/6.26 ((~![B: $i] : ((~less_3(B)) | (v124(constB67, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v124(constB67, bitIndex1) <=> b100(bitIndex1)))),
% 8.71/6.26 inference(quant_inst,[status(thm)],[])).
% 8.71/6.26 tff(15499,plain,
% 8.71/6.26 ((~![B: $i] : ((~less_3(B)) | (v124(constB67, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v124(constB67, bitIndex1) <=> b100(bitIndex1))),
% 8.71/6.26 inference(modus_ponens,[status(thm)],[15498, 15497])).
% 8.71/6.26 tff(15500,plain,
% 8.71/6.26 (v124(constB67, bitIndex1) <=> b100(bitIndex1)),
% 8.71/6.26 inference(unit_resolution,[status(thm)],[15499, 9785, 15434])).
% 8.71/6.26 tff(15501,plain,
% 8.71/6.26 ((~(v124(constB67, bitIndex1) <=> b100(bitIndex1))) | (~v124(constB67, bitIndex1)) | b100(bitIndex1)),
% 8.71/6.26 inference(tautology,[status(thm)],[])).
% 8.71/6.26 tff(15502,plain,
% 8.71/6.26 ((~(v124(constB67, bitIndex1) <=> b100(bitIndex1))) | (~v124(constB67, bitIndex1))),
% 8.71/6.26 inference(unit_resolution,[status(thm)],[15501, 10585])).
% 8.71/6.26 tff(15503,plain,
% 8.71/6.26 (~v124(constB67, bitIndex1)),
% 8.71/6.26 inference(unit_resolution,[status(thm)],[15502, 15500])).
% 8.71/6.26 tff(15504,plain,
% 8.71/6.26 ((~(v121(constB67, bitIndex1) <=> v124(constB67, bitIndex1))) | (~v121(constB67, bitIndex1)) | v124(constB67, bitIndex1)),
% 8.71/6.26 inference(tautology,[status(thm)],[])).
% 8.71/6.26 tff(15505,plain,
% 8.71/6.26 (~v121(constB67, bitIndex1)),
% 8.71/6.26 inference(unit_resolution,[status(thm)],[15504, 15503, 15496])).
% 8.71/6.26 tff(15506,plain,
% 8.71/6.26 ((~(v123(constB68, bitIndex1) <=> v121(constB67, bitIndex1))) | (~v123(constB68, bitIndex1)) | v121(constB67, bitIndex1)),
% 8.71/6.26 inference(tautology,[status(thm)],[])).
% 8.71/6.26 tff(15507,plain,
% 8.71/6.26 (~v123(constB68, bitIndex1)),
% 8.71/6.26 inference(unit_resolution,[status(thm)],[15506, 15505, 15492])).
% 8.71/6.26 tff(15508,plain,
% 8.71/6.26 ((~(v84(constB68, bitIndex1) <=> v123(constB68, bitIndex1))) | (~v84(constB68, bitIndex1)) | v123(constB68, bitIndex1)),
% 8.71/6.27 inference(tautology,[status(thm)],[])).
% 8.71/6.27 tff(15509,plain,
% 8.71/6.27 (~v84(constB68, bitIndex1)),
% 8.71/6.27 inference(unit_resolution,[status(thm)],[15508, 15507, 15488])).
% 8.71/6.27 tff(15510,plain,
% 8.71/6.27 ((~(v84(constB69, bitIndex1) <=> v84(constB68, bitIndex1))) | (~v84(constB69, bitIndex1)) | v84(constB68, bitIndex1)),
% 8.71/6.27 inference(tautology,[status(thm)],[])).
% 8.71/6.27 tff(15511,plain,
% 8.71/6.27 (~v84(constB69, bitIndex1)),
% 8.71/6.27 inference(unit_resolution,[status(thm)],[15510, 15509, 15484])).
% 8.71/6.27 tff(15512,plain,
% 8.71/6.27 ((~((~v84(constB69, bitIndex2)) | v84(constB69, bitIndex1) | v84(constB69, bitIndex0))) | (~v84(constB69, bitIndex2)) | v84(constB69, bitIndex1) | v84(constB69, bitIndex0)),
% 8.71/6.27 inference(tautology,[status(thm)],[])).
% 8.71/6.27 tff(15513,plain,
% 8.71/6.27 (~((~v84(constB69, bitIndex2)) | v84(constB69, bitIndex1) | v84(constB69, bitIndex0))),
% 8.71/6.27 inference(unit_resolution,[status(thm)],[15512, 15511, 15480, 15449])).
% 8.71/6.27 tff(15514,plain,
% 8.71/6.27 ((~(v117(constB69) <=> (~((~v84(constB69, bitIndex2)) | v84(constB69, bitIndex1) | v84(constB69, bitIndex0))))) | v117(constB69) | ((~v84(constB69, bitIndex2)) | v84(constB69, bitIndex1) | v84(constB69, bitIndex0))),
% 8.71/6.27 inference(tautology,[status(thm)],[])).
% 8.71/6.27 tff(15515,plain,
% 8.71/6.27 (v117(constB69)),
% 8.71/6.27 inference(unit_resolution,[status(thm)],[15514, 15513, 6621])).
% 8.71/6.27 tff(15516,plain,
% 8.71/6.27 ((v110(constB69) | v117(constB69)) | (~v117(constB69))),
% 8.71/6.27 inference(tautology,[status(thm)],[])).
% 8.71/6.27 tff(15517,plain,
% 8.71/6.27 (v110(constB69) | v117(constB69)),
% 8.71/6.27 inference(unit_resolution,[status(thm)],[15516, 15515])).
% 8.71/6.27 tff(15518,plain,
% 8.71/6.27 ((~(v109(constB69) <=> (v110(constB69) | v117(constB69)))) | v109(constB69) | (~(v110(constB69) | v117(constB69)))),
% 8.71/6.27 inference(tautology,[status(thm)],[])).
% 8.71/6.27 tff(15519,plain,
% 8.71/6.27 (v109(constB69)),
% 8.71/6.27 inference(unit_resolution,[status(thm)],[15518, 15517, 6614])).
% 8.71/6.27 tff(15520,plain,
% 8.71/6.27 ((v109(constB69) | v118(constB69)) | (~v109(constB69))),
% 8.71/6.27 inference(tautology,[status(thm)],[])).
% 8.71/6.27 tff(15521,plain,
% 8.71/6.27 (v109(constB69) | v118(constB69)),
% 8.71/6.27 inference(unit_resolution,[status(thm)],[15520, 15519])).
% 8.71/6.27 tff(15522,plain,
% 8.71/6.27 ((~(v108(constB69) <=> (v109(constB69) | v118(constB69)))) | v108(constB69) | (~(v109(constB69) | v118(constB69)))),
% 8.71/6.27 inference(tautology,[status(thm)],[])).
% 8.71/6.27 tff(15523,plain,
% 8.71/6.27 (v108(constB69)),
% 8.71/6.27 inference(unit_resolution,[status(thm)],[15522, 15521, 6612])).
% 8.71/6.27 tff(15524,plain,
% 8.71/6.27 ((v108(constB69) | v119(constB69)) | (~v108(constB69))),
% 8.71/6.27 inference(tautology,[status(thm)],[])).
% 8.71/6.27 tff(15525,plain,
% 8.71/6.27 (v108(constB69) | v119(constB69)),
% 8.71/6.27 inference(unit_resolution,[status(thm)],[15524, 15523])).
% 8.71/6.27 tff(15526,plain,
% 8.71/6.27 ((~(v107(constB69) <=> (v108(constB69) | v119(constB69)))) | v107(constB69) | (~(v108(constB69) | v119(constB69)))),
% 8.71/6.27 inference(tautology,[status(thm)],[])).
% 8.71/6.27 tff(15527,plain,
% 8.71/6.27 (v107(constB69)),
% 8.71/6.27 inference(unit_resolution,[status(thm)],[15526, 15525, 6610])).
% 8.71/6.27 tff(15528,plain,
% 8.71/6.27 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB69)) <=> v105(constB69))),
% 8.71/6.27 inference(quant_inst,[status(thm)],[])).
% 8.71/6.27 tff(15529,plain,
% 8.71/6.27 ((~v120(constB69)) <=> v105(constB69)),
% 8.71/6.27 inference(unit_resolution,[status(thm)],[15528, 9842])).
% 8.71/6.27 tff(15530,plain,
% 8.71/6.27 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB69) <=> v26(constB69))),
% 8.71/6.27 inference(quant_inst,[status(thm)],[])).
% 8.71/6.27 tff(15531,plain,
% 8.71/6.27 (v105(constB69) <=> v26(constB69)),
% 8.71/6.27 inference(unit_resolution,[status(thm)],[15530, 9854])).
% 8.71/6.27 tff(15532,plain,
% 8.71/6.27 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB69))),
% 8.71/6.27 inference(quant_inst,[status(thm)],[])).
% 8.71/6.27 tff(15533,plain,
% 8.71/6.27 (~v26(constB69)),
% 8.71/6.27 inference(unit_resolution,[status(thm)],[15532, 9866])).
% 8.71/6.27 tff(15534,plain,
% 8.71/6.27 ((~(v105(constB69) <=> v26(constB69))) | (~v105(constB69)) | v26(constB69)),
% 8.71/6.27 inference(tautology,[status(thm)],[])).
% 8.71/6.27 tff(15535,plain,
% 8.71/6.27 ((~(v105(constB69) <=> v26(constB69))) | (~v105(constB69))),
% 8.71/6.27 inference(unit_resolution,[status(thm)],[15534, 15533])).
% 8.71/6.27 tff(15536,plain,
% 8.71/6.27 (~v105(constB69)),
% 8.71/6.27 inference(unit_resolution,[status(thm)],[15535, 15531])).
% 8.71/6.27 tff(15537,plain,
% 8.71/6.27 ((~((~v120(constB69)) <=> v105(constB69))) | v120(constB69) | v105(constB69)),
% 8.71/6.27 inference(tautology,[status(thm)],[])).
% 8.71/6.27 tff(15538,plain,
% 8.71/6.27 ((~((~v120(constB69)) <=> v105(constB69))) | v120(constB69)),
% 8.71/6.27 inference(unit_resolution,[status(thm)],[15537, 15536])).
% 8.71/6.27 tff(15539,plain,
% 8.71/6.27 (v120(constB69)),
% 8.71/6.27 inference(unit_resolution,[status(thm)],[15538, 15529])).
% 8.71/6.27 tff(15540,plain,
% 8.71/6.27 ((~((~v107(constB69)) | (~v120(constB69)))) | (~v107(constB69)) | (~v120(constB69))),
% 8.71/6.27 inference(tautology,[status(thm)],[])).
% 8.71/6.27 tff(15541,plain,
% 8.71/6.27 ((~((~v107(constB69)) | (~v120(constB69)))) | (~v107(constB69))),
% 8.71/6.27 inference(unit_resolution,[status(thm)],[15540, 15539])).
% 8.71/6.27 tff(15542,plain,
% 8.71/6.27 (~((~v107(constB69)) | (~v120(constB69)))),
% 8.71/6.27 inference(unit_resolution,[status(thm)],[15541, 15527])).
% 8.71/6.27 tff(15543,plain,
% 8.71/6.27 ((~(v106(constB69) <=> (~((~v107(constB69)) | (~v120(constB69)))))) | v106(constB69) | ((~v107(constB69)) | (~v120(constB69)))),
% 8.71/6.27 inference(tautology,[status(thm)],[])).
% 8.71/6.27 tff(15544,plain,
% 8.71/6.27 (v106(constB69)),
% 8.71/6.27 inference(unit_resolution,[status(thm)],[15543, 15542, 6608])).
% 8.71/6.27 tff(15545,plain,
% 8.71/6.27 ((v105(constB69) | v106(constB69)) | (~v106(constB69))),
% 8.71/6.27 inference(tautology,[status(thm)],[])).
% 8.71/6.27 tff(15546,plain,
% 8.71/6.27 (v105(constB69) | v106(constB69)),
% 8.71/6.27 inference(unit_resolution,[status(thm)],[15545, 15544])).
% 8.71/6.27 tff(15547,plain,
% 8.71/6.27 ((~(v102(constB69) <=> (v105(constB69) | v106(constB69)))) | v102(constB69) | (~(v105(constB69) | v106(constB69)))),
% 8.71/6.27 inference(tautology,[status(thm)],[])).
% 8.71/6.27 tff(15548,plain,
% 8.71/6.27 (v102(constB69)),
% 8.71/6.27 inference(unit_resolution,[status(thm)],[15547, 15546, 6606])).
% 8.71/6.27 tff(15549,plain,
% 8.71/6.27 ((~(v104(constB70) <=> v102(constB69))) | v104(constB70) | (~v102(constB69))),
% 8.71/6.27 inference(tautology,[status(thm)],[])).
% 8.71/6.27 tff(15550,plain,
% 8.71/6.27 (v104(constB70)),
% 8.71/6.27 inference(unit_resolution,[status(thm)],[15549, 15548, 6604])).
% 8.71/6.27 tff(15551,plain,
% 8.71/6.27 ((~((~v104(constB70)) | (~v95(constB70)))) | (~v104(constB70)) | (~v95(constB70))),
% 8.71/6.27 inference(tautology,[status(thm)],[])).
% 8.71/6.27 tff(15552,plain,
% 8.71/6.27 (~((~v104(constB70)) | (~v95(constB70)))),
% 8.71/6.27 inference(unit_resolution,[status(thm)],[15551, 15550, 6600])).
% 8.71/6.27 tff(15553,plain,
% 8.71/6.27 ((~(v94(constB70) <=> (~((~v104(constB70)) | (~v95(constB70)))))) | v94(constB70) | ((~v104(constB70)) | (~v95(constB70)))),
% 8.71/6.27 inference(tautology,[status(thm)],[])).
% 8.71/6.27 tff(15554,plain,
% 8.71/6.27 (v94(constB70)),
% 8.71/6.27 inference(unit_resolution,[status(thm)],[15553, 15552, 6569])).
% 8.71/6.27 tff(15555,plain,
% 8.71/6.27 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB70)) | ![B: $i] : ((~less_3(B)) | (v84(constB70, B) <=> v123(constB70, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB70)) | ![B: $i] : ((~less_3(B)) | (v84(constB70, B) <=> v123(constB70, B))))),
% 8.71/6.27 inference(rewrite,[status(thm)],[])).
% 8.71/6.27 tff(15556,plain,
% 8.71/6.27 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB70)) | ![B: $i] : ((~less_3(B)) | (v84(constB70, B) <=> v123(constB70, B))))),
% 8.71/6.27 inference(quant_inst,[status(thm)],[])).
% 8.71/6.27 tff(15557,plain,
% 8.71/6.27 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB70)) | ![B: $i] : ((~less_3(B)) | (v84(constB70, B) <=> v123(constB70, B)))),
% 8.71/6.27 inference(modus_ponens,[status(thm)],[15556, 15555])).
% 8.71/6.27 tff(15558,plain,
% 8.71/6.27 ((~v94(constB70)) | ![B: $i] : ((~less_3(B)) | (v84(constB70, B) <=> v123(constB70, B)))),
% 8.71/6.27 inference(unit_resolution,[status(thm)],[15557, 9902])).
% 8.71/6.27 tff(15559,plain,
% 8.71/6.27 (![B: $i] : ((~less_3(B)) | (v84(constB70, B) <=> v123(constB70, B)))),
% 8.71/6.27 inference(unit_resolution,[status(thm)],[15558, 15554])).
% 8.71/6.27 tff(15560,plain,
% 8.71/6.27 (((~![B: $i] : ((~less_3(B)) | (v84(constB70, B) <=> v123(constB70, B)))) | ((~less_3(bitIndex2)) | (v84(constB70, bitIndex2) <=> v123(constB70, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB70, B) <=> v123(constB70, B)))) | (~less_3(bitIndex2)) | (v84(constB70, bitIndex2) <=> v123(constB70, bitIndex2)))),
% 8.71/6.27 inference(rewrite,[status(thm)],[])).
% 8.71/6.27 tff(15561,plain,
% 8.71/6.27 ((~![B: $i] : ((~less_3(B)) | (v84(constB70, B) <=> v123(constB70, B)))) | ((~less_3(bitIndex2)) | (v84(constB70, bitIndex2) <=> v123(constB70, bitIndex2)))),
% 8.71/6.27 inference(quant_inst,[status(thm)],[])).
% 8.71/6.27 tff(15562,plain,
% 8.71/6.27 ((~![B: $i] : ((~less_3(B)) | (v84(constB70, B) <=> v123(constB70, B)))) | (~less_3(bitIndex2)) | (v84(constB70, bitIndex2) <=> v123(constB70, bitIndex2))),
% 8.71/6.27 inference(modus_ponens,[status(thm)],[15561, 15560])).
% 8.71/6.27 tff(15563,plain,
% 8.71/6.27 (v84(constB70, bitIndex2) <=> v123(constB70, bitIndex2)),
% 8.71/6.27 inference(unit_resolution,[status(thm)],[15562, 832, 15559])).
% 8.71/6.27 tff(15564,plain,
% 8.71/6.27 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB69, constB70)) | ![B: $i] : ((~less_3(B)) | (v123(constB70, B) <=> v121(constB69, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB69, constB70)) | ![B: $i] : ((~less_3(B)) | (v123(constB70, B) <=> v121(constB69, B))))),
% 8.71/6.27 inference(rewrite,[status(thm)],[])).
% 8.71/6.27 tff(15565,plain,
% 8.71/6.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB69, constB70)) | ![B: $i] : ((~less_3(B)) | (v123(constB70, B) <=> v121(constB69, B))))),
% 8.71/6.27 inference(quant_inst,[status(thm)],[])).
% 8.71/6.27 tff(15566,plain,
% 8.71/6.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB69, constB70)) | ![B: $i] : ((~less_3(B)) | (v123(constB70, B) <=> v121(constB69, B)))),
% 8.71/6.27 inference(modus_ponens,[status(thm)],[15565, 15564])).
% 8.71/6.27 tff(15567,plain,
% 8.71/6.27 (![B: $i] : ((~less_3(B)) | (v123(constB70, B) <=> v121(constB69, B)))),
% 8.71/6.27 inference(unit_resolution,[status(thm)],[15566, 6565, 9924])).
% 8.71/6.27 tff(15568,plain,
% 8.71/6.27 (((~![B: $i] : ((~less_3(B)) | (v123(constB70, B) <=> v121(constB69, B)))) | ((~less_3(bitIndex2)) | (v123(constB70, bitIndex2) <=> v121(constB69, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB70, B) <=> v121(constB69, B)))) | (~less_3(bitIndex2)) | (v123(constB70, bitIndex2) <=> v121(constB69, bitIndex2)))),
% 8.71/6.27 inference(rewrite,[status(thm)],[])).
% 8.71/6.27 tff(15569,plain,
% 8.71/6.27 ((~![B: $i] : ((~less_3(B)) | (v123(constB70, B) <=> v121(constB69, B)))) | ((~less_3(bitIndex2)) | (v123(constB70, bitIndex2) <=> v121(constB69, bitIndex2)))),
% 8.71/6.27 inference(quant_inst,[status(thm)],[])).
% 8.71/6.27 tff(15570,plain,
% 8.71/6.27 ((~![B: $i] : ((~less_3(B)) | (v123(constB70, B) <=> v121(constB69, B)))) | (~less_3(bitIndex2)) | (v123(constB70, bitIndex2) <=> v121(constB69, bitIndex2))),
% 8.71/6.27 inference(modus_ponens,[status(thm)],[15569, 15568])).
% 8.71/6.27 tff(15571,plain,
% 8.71/6.27 (v123(constB70, bitIndex2) <=> v121(constB69, bitIndex2)),
% 8.71/6.27 inference(unit_resolution,[status(thm)],[15570, 832, 15567])).
% 8.71/6.27 tff(15572,plain,
% 8.71/6.27 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB69) | ![B: $i] : ((~less_3(B)) | (v121(constB69, B) <=> v124(constB69, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB69) | ![B: $i] : ((~less_3(B)) | (v121(constB69, B) <=> v124(constB69, B))))),
% 8.71/6.27 inference(rewrite,[status(thm)],[])).
% 8.71/6.27 tff(15573,plain,
% 8.71/6.27 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB69) | ![B: $i] : ((~less_3(B)) | (v121(constB69, B) <=> v124(constB69, B))))),
% 8.71/6.27 inference(quant_inst,[status(thm)],[])).
% 8.71/6.27 tff(15574,plain,
% 8.71/6.27 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB69) | ![B: $i] : ((~less_3(B)) | (v121(constB69, B) <=> v124(constB69, B)))),
% 8.71/6.27 inference(modus_ponens,[status(thm)],[15573, 15572])).
% 8.71/6.27 tff(15575,plain,
% 8.71/6.27 (![B: $i] : ((~less_3(B)) | (v121(constB69, B) <=> v124(constB69, B)))),
% 8.71/6.27 inference(unit_resolution,[status(thm)],[15574, 9945, 15536])).
% 8.71/6.27 tff(15576,plain,
% 8.71/6.27 (((~![B: $i] : ((~less_3(B)) | (v121(constB69, B) <=> v124(constB69, B)))) | ((~less_3(bitIndex2)) | (v121(constB69, bitIndex2) <=> v124(constB69, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB69, B) <=> v124(constB69, B)))) | (~less_3(bitIndex2)) | (v121(constB69, bitIndex2) <=> v124(constB69, bitIndex2)))),
% 8.71/6.27 inference(rewrite,[status(thm)],[])).
% 8.71/6.27 tff(15577,plain,
% 8.71/6.27 ((~![B: $i] : ((~less_3(B)) | (v121(constB69, B) <=> v124(constB69, B)))) | ((~less_3(bitIndex2)) | (v121(constB69, bitIndex2) <=> v124(constB69, bitIndex2)))),
% 8.71/6.27 inference(quant_inst,[status(thm)],[])).
% 8.71/6.27 tff(15578,plain,
% 8.71/6.27 ((~![B: $i] : ((~less_3(B)) | (v121(constB69, B) <=> v124(constB69, B)))) | (~less_3(bitIndex2)) | (v121(constB69, bitIndex2) <=> v124(constB69, bitIndex2))),
% 8.71/6.27 inference(modus_ponens,[status(thm)],[15577, 15576])).
% 8.71/6.27 tff(15579,plain,
% 8.71/6.27 (v121(constB69, bitIndex2) <=> v124(constB69, bitIndex2)),
% 8.71/6.27 inference(unit_resolution,[status(thm)],[15578, 832, 15575])).
% 8.71/6.27 tff(15580,plain,
% 8.71/6.27 (((~![VarCurr: $i] : ((~v117(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b101(B))))) | ((~v117(constB69)) | ![B: $i] : ((~less_3(B)) | (v124(constB69, B) <=> b101(B))))) <=> ((~![VarCurr: $i] : ((~v117(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b101(B))))) | (~v117(constB69)) | ![B: $i] : ((~less_3(B)) | (v124(constB69, B) <=> b101(B))))),
% 8.71/6.27 inference(rewrite,[status(thm)],[])).
% 8.71/6.27 tff(15581,plain,
% 8.71/6.27 ((~![VarCurr: $i] : ((~v117(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b101(B))))) | ((~v117(constB69)) | ![B: $i] : ((~less_3(B)) | (v124(constB69, B) <=> b101(B))))),
% 8.71/6.27 inference(quant_inst,[status(thm)],[])).
% 8.71/6.27 tff(15582,plain,
% 8.71/6.27 ((~![VarCurr: $i] : ((~v117(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b101(B))))) | (~v117(constB69)) | ![B: $i] : ((~less_3(B)) | (v124(constB69, B) <=> b101(B)))),
% 8.71/6.27 inference(modus_ponens,[status(thm)],[15581, 15580])).
% 8.71/6.27 tff(15583,plain,
% 8.71/6.27 ((~v117(constB69)) | ![B: $i] : ((~less_3(B)) | (v124(constB69, B) <=> b101(B)))),
% 8.71/6.27 inference(unit_resolution,[status(thm)],[15582, 10677])).
% 8.71/6.27 tff(15584,plain,
% 8.71/6.27 (![B: $i] : ((~less_3(B)) | (v124(constB69, B) <=> b101(B)))),
% 8.71/6.27 inference(unit_resolution,[status(thm)],[15583, 15515])).
% 8.71/6.27 tff(15585,plain,
% 8.71/6.27 (((~![B: $i] : ((~less_3(B)) | (v124(constB69, B) <=> b101(B)))) | ((~less_3(bitIndex2)) | (v124(constB69, bitIndex2) <=> b101(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB69, B) <=> b101(B)))) | (~less_3(bitIndex2)) | (v124(constB69, bitIndex2) <=> b101(bitIndex2)))),
% 8.71/6.27 inference(rewrite,[status(thm)],[])).
% 8.71/6.27 tff(15586,plain,
% 8.71/6.27 ((~![B: $i] : ((~less_3(B)) | (v124(constB69, B) <=> b101(B)))) | ((~less_3(bitIndex2)) | (v124(constB69, bitIndex2) <=> b101(bitIndex2)))),
% 8.71/6.27 inference(quant_inst,[status(thm)],[])).
% 8.71/6.27 tff(15587,plain,
% 8.71/6.27 ((~![B: $i] : ((~less_3(B)) | (v124(constB69, B) <=> b101(B)))) | (~less_3(bitIndex2)) | (v124(constB69, bitIndex2) <=> b101(bitIndex2))),
% 8.71/6.27 inference(modus_ponens,[status(thm)],[15586, 15585])).
% 8.71/6.27 tff(15588,plain,
% 8.71/6.27 (v124(constB69, bitIndex2) <=> b101(bitIndex2)),
% 8.71/6.27 inference(unit_resolution,[status(thm)],[15587, 832, 15584])).
% 8.71/6.27 tff(15589,plain,
% 8.71/6.27 ((~(v124(constB69, bitIndex2) <=> b101(bitIndex2))) | v124(constB69, bitIndex2) | (~b101(bitIndex2))),
% 8.71/6.27 inference(tautology,[status(thm)],[])).
% 8.71/6.27 tff(15590,plain,
% 8.71/6.27 ((~(v124(constB69, bitIndex2) <=> b101(bitIndex2))) | v124(constB69, bitIndex2)),
% 8.71/6.27 inference(unit_resolution,[status(thm)],[15589, 10689])).
% 8.71/6.27 tff(15591,plain,
% 8.71/6.27 (v124(constB69, bitIndex2)),
% 8.71/6.27 inference(unit_resolution,[status(thm)],[15590, 15588])).
% 8.71/6.27 tff(15592,plain,
% 8.71/6.27 ((~(v121(constB69, bitIndex2) <=> v124(constB69, bitIndex2))) | v121(constB69, bitIndex2) | (~v124(constB69, bitIndex2))),
% 8.71/6.27 inference(tautology,[status(thm)],[])).
% 8.71/6.27 tff(15593,plain,
% 8.71/6.27 (v121(constB69, bitIndex2)),
% 8.71/6.27 inference(unit_resolution,[status(thm)],[15592, 15591, 15579])).
% 8.71/6.27 tff(15594,plain,
% 8.71/6.27 ((~(v123(constB70, bitIndex2) <=> v121(constB69, bitIndex2))) | v123(constB70, bitIndex2) | (~v121(constB69, bitIndex2))),
% 8.71/6.27 inference(tautology,[status(thm)],[])).
% 8.71/6.27 tff(15595,plain,
% 8.71/6.27 (v123(constB70, bitIndex2)),
% 8.71/6.27 inference(unit_resolution,[status(thm)],[15594, 15593, 15571])).
% 8.71/6.27 tff(15596,plain,
% 8.71/6.27 ((~(v84(constB70, bitIndex2) <=> v123(constB70, bitIndex2))) | v84(constB70, bitIndex2) | (~v123(constB70, bitIndex2))),
% 8.71/6.27 inference(tautology,[status(thm)],[])).
% 8.71/6.27 tff(15597,plain,
% 8.71/6.27 (v84(constB70, bitIndex2)),
% 8.71/6.27 inference(unit_resolution,[status(thm)],[15596, 15595, 15563])).
% 8.71/6.27 tff(15598,plain,
% 8.71/6.27 ((~(v84(constB71, bitIndex2) <=> v84(constB70, bitIndex2))) | v84(constB71, bitIndex2) | (~v84(constB70, bitIndex2))),
% 8.71/6.27 inference(tautology,[status(thm)],[])).
% 8.71/6.27 tff(15599,plain,
% 8.71/6.27 (v84(constB71, bitIndex2)),
% 8.71/6.27 inference(unit_resolution,[status(thm)],[15598, 15597, 6562])).
% 8.71/6.27 tff(15600,plain,
% 8.71/6.27 (((~![B: $i] : ((~less_3(B)) | (v84(constB71, B) <=> v84(constB70, B)))) | ((~less_3(bitIndex0)) | (v84(constB71, bitIndex0) <=> v84(constB70, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB71, B) <=> v84(constB70, B)))) | (~less_3(bitIndex0)) | (v84(constB71, bitIndex0) <=> v84(constB70, bitIndex0)))),
% 8.71/6.27 inference(rewrite,[status(thm)],[])).
% 8.71/6.27 tff(15601,plain,
% 8.71/6.27 ((~![B: $i] : ((~less_3(B)) | (v84(constB71, B) <=> v84(constB70, B)))) | ((~less_3(bitIndex0)) | (v84(constB71, bitIndex0) <=> v84(constB70, bitIndex0)))),
% 8.71/6.27 inference(quant_inst,[status(thm)],[])).
% 8.71/6.27 tff(15602,plain,
% 8.71/6.27 ((~![B: $i] : ((~less_3(B)) | (v84(constB71, B) <=> v84(constB70, B)))) | (~less_3(bitIndex0)) | (v84(constB71, bitIndex0) <=> v84(constB70, bitIndex0))),
% 8.71/6.27 inference(modus_ponens,[status(thm)],[15601, 15600])).
% 8.71/6.27 tff(15603,plain,
% 8.71/6.27 (v84(constB71, bitIndex0) <=> v84(constB70, bitIndex0)),
% 8.71/6.27 inference(unit_resolution,[status(thm)],[15602, 9772, 6558])).
% 8.71/6.27 tff(15604,plain,
% 8.71/6.27 (((~![B: $i] : ((~less_3(B)) | (v84(constB70, B) <=> v123(constB70, B)))) | ((~less_3(bitIndex0)) | (v84(constB70, bitIndex0) <=> v123(constB70, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB70, B) <=> v123(constB70, B)))) | (~less_3(bitIndex0)) | (v84(constB70, bitIndex0) <=> v123(constB70, bitIndex0)))),
% 8.71/6.27 inference(rewrite,[status(thm)],[])).
% 8.71/6.27 tff(15605,plain,
% 8.71/6.27 ((~![B: $i] : ((~less_3(B)) | (v84(constB70, B) <=> v123(constB70, B)))) | ((~less_3(bitIndex0)) | (v84(constB70, bitIndex0) <=> v123(constB70, bitIndex0)))),
% 8.71/6.27 inference(quant_inst,[status(thm)],[])).
% 8.71/6.27 tff(15606,plain,
% 8.71/6.27 ((~![B: $i] : ((~less_3(B)) | (v84(constB70, B) <=> v123(constB70, B)))) | (~less_3(bitIndex0)) | (v84(constB70, bitIndex0) <=> v123(constB70, bitIndex0))),
% 8.71/6.27 inference(modus_ponens,[status(thm)],[15605, 15604])).
% 8.71/6.27 tff(15607,plain,
% 8.71/6.27 (v84(constB70, bitIndex0) <=> v123(constB70, bitIndex0)),
% 8.71/6.27 inference(unit_resolution,[status(thm)],[15606, 9772, 15559])).
% 8.71/6.27 tff(15608,plain,
% 8.71/6.27 (((~![B: $i] : ((~less_3(B)) | (v123(constB70, B) <=> v121(constB69, B)))) | ((~less_3(bitIndex0)) | (v123(constB70, bitIndex0) <=> v121(constB69, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB70, B) <=> v121(constB69, B)))) | (~less_3(bitIndex0)) | (v123(constB70, bitIndex0) <=> v121(constB69, bitIndex0)))),
% 8.71/6.27 inference(rewrite,[status(thm)],[])).
% 8.71/6.27 tff(15609,plain,
% 8.71/6.27 ((~![B: $i] : ((~less_3(B)) | (v123(constB70, B) <=> v121(constB69, B)))) | ((~less_3(bitIndex0)) | (v123(constB70, bitIndex0) <=> v121(constB69, bitIndex0)))),
% 8.71/6.27 inference(quant_inst,[status(thm)],[])).
% 8.71/6.27 tff(15610,plain,
% 8.71/6.27 ((~![B: $i] : ((~less_3(B)) | (v123(constB70, B) <=> v121(constB69, B)))) | (~less_3(bitIndex0)) | (v123(constB70, bitIndex0) <=> v121(constB69, bitIndex0))),
% 8.71/6.27 inference(modus_ponens,[status(thm)],[15609, 15608])).
% 8.71/6.27 tff(15611,plain,
% 8.71/6.27 (v123(constB70, bitIndex0) <=> v121(constB69, bitIndex0)),
% 8.71/6.27 inference(unit_resolution,[status(thm)],[15610, 9772, 15567])).
% 8.71/6.27 tff(15612,plain,
% 8.71/6.27 (((~![B: $i] : ((~less_3(B)) | (v121(constB69, B) <=> v124(constB69, B)))) | ((~less_3(bitIndex0)) | (v121(constB69, bitIndex0) <=> v124(constB69, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB69, B) <=> v124(constB69, B)))) | (~less_3(bitIndex0)) | (v121(constB69, bitIndex0) <=> v124(constB69, bitIndex0)))),
% 8.71/6.27 inference(rewrite,[status(thm)],[])).
% 8.71/6.27 tff(15613,plain,
% 8.71/6.27 ((~![B: $i] : ((~less_3(B)) | (v121(constB69, B) <=> v124(constB69, B)))) | ((~less_3(bitIndex0)) | (v121(constB69, bitIndex0) <=> v124(constB69, bitIndex0)))),
% 8.71/6.27 inference(quant_inst,[status(thm)],[])).
% 8.71/6.27 tff(15614,plain,
% 8.71/6.27 ((~![B: $i] : ((~less_3(B)) | (v121(constB69, B) <=> v124(constB69, B)))) | (~less_3(bitIndex0)) | (v121(constB69, bitIndex0) <=> v124(constB69, bitIndex0))),
% 8.71/6.27 inference(modus_ponens,[status(thm)],[15613, 15612])).
% 8.71/6.27 tff(15615,plain,
% 8.71/6.27 (v121(constB69, bitIndex0) <=> v124(constB69, bitIndex0)),
% 8.71/6.27 inference(unit_resolution,[status(thm)],[15614, 9772, 15575])).
% 8.71/6.27 tff(15616,plain,
% 8.71/6.27 (((~![B: $i] : ((~less_3(B)) | (v124(constB69, B) <=> b101(B)))) | ((~less_3(bitIndex0)) | (v124(constB69, bitIndex0) <=> b101(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB69, B) <=> b101(B)))) | (~less_3(bitIndex0)) | (v124(constB69, bitIndex0) <=> b101(bitIndex0)))),
% 8.71/6.27 inference(rewrite,[status(thm)],[])).
% 8.71/6.27 tff(15617,plain,
% 8.71/6.27 ((~![B: $i] : ((~less_3(B)) | (v124(constB69, B) <=> b101(B)))) | ((~less_3(bitIndex0)) | (v124(constB69, bitIndex0) <=> b101(bitIndex0)))),
% 8.71/6.27 inference(quant_inst,[status(thm)],[])).
% 8.71/6.27 tff(15618,plain,
% 8.71/6.27 ((~![B: $i] : ((~less_3(B)) | (v124(constB69, B) <=> b101(B)))) | (~less_3(bitIndex0)) | (v124(constB69, bitIndex0) <=> b101(bitIndex0))),
% 8.71/6.27 inference(modus_ponens,[status(thm)],[15617, 15616])).
% 8.71/6.27 tff(15619,plain,
% 8.71/6.27 (v124(constB69, bitIndex0) <=> b101(bitIndex0)),
% 8.71/6.27 inference(unit_resolution,[status(thm)],[15618, 9772, 15584])).
% 8.71/6.27 tff(15620,plain,
% 8.71/6.27 ((~(v124(constB69, bitIndex0) <=> b101(bitIndex0))) | v124(constB69, bitIndex0) | (~b101(bitIndex0))),
% 8.71/6.27 inference(tautology,[status(thm)],[])).
% 8.71/6.27 tff(15621,plain,
% 8.71/6.27 ((~(v124(constB69, bitIndex0) <=> b101(bitIndex0))) | v124(constB69, bitIndex0)),
% 8.71/6.27 inference(unit_resolution,[status(thm)],[15620, 10723])).
% 8.71/6.27 tff(15622,plain,
% 8.71/6.27 (v124(constB69, bitIndex0)),
% 8.71/6.27 inference(unit_resolution,[status(thm)],[15621, 15619])).
% 8.71/6.27 tff(15623,plain,
% 8.71/6.27 ((~(v121(constB69, bitIndex0) <=> v124(constB69, bitIndex0))) | v121(constB69, bitIndex0) | (~v124(constB69, bitIndex0))),
% 8.71/6.27 inference(tautology,[status(thm)],[])).
% 8.71/6.27 tff(15624,plain,
% 8.71/6.27 (v121(constB69, bitIndex0)),
% 8.71/6.27 inference(unit_resolution,[status(thm)],[15623, 15622, 15615])).
% 8.71/6.27 tff(15625,plain,
% 8.71/6.27 ((~(v123(constB70, bitIndex0) <=> v121(constB69, bitIndex0))) | v123(constB70, bitIndex0) | (~v121(constB69, bitIndex0))),
% 8.71/6.27 inference(tautology,[status(thm)],[])).
% 8.71/6.27 tff(15626,plain,
% 8.71/6.27 (v123(constB70, bitIndex0)),
% 8.71/6.27 inference(unit_resolution,[status(thm)],[15625, 15624, 15611])).
% 8.71/6.27 tff(15627,plain,
% 8.71/6.27 ((~(v84(constB70, bitIndex0) <=> v123(constB70, bitIndex0))) | v84(constB70, bitIndex0) | (~v123(constB70, bitIndex0))),
% 8.71/6.27 inference(tautology,[status(thm)],[])).
% 8.71/6.27 tff(15628,plain,
% 8.71/6.27 (v84(constB70, bitIndex0)),
% 8.71/6.27 inference(unit_resolution,[status(thm)],[15627, 15626, 15607])).
% 8.71/6.27 tff(15629,plain,
% 8.71/6.27 ((~(v84(constB71, bitIndex0) <=> v84(constB70, bitIndex0))) | v84(constB71, bitIndex0) | (~v84(constB70, bitIndex0))),
% 8.71/6.27 inference(tautology,[status(thm)],[])).
% 8.71/6.27 tff(15630,plain,
% 8.71/6.27 (v84(constB71, bitIndex0)),
% 8.71/6.27 inference(unit_resolution,[status(thm)],[15629, 15628, 15603])).
% 8.71/6.27 tff(15631,plain,
% 8.71/6.27 (((~![B: $i] : ((~less_3(B)) | (v84(constB71, B) <=> v84(constB70, B)))) | ((~less_3(bitIndex1)) | (v84(constB71, bitIndex1) <=> v84(constB70, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB71, B) <=> v84(constB70, B)))) | (~less_3(bitIndex1)) | (v84(constB71, bitIndex1) <=> v84(constB70, bitIndex1)))),
% 8.71/6.27 inference(rewrite,[status(thm)],[])).
% 8.71/6.27 tff(15632,plain,
% 8.71/6.27 ((~![B: $i] : ((~less_3(B)) | (v84(constB71, B) <=> v84(constB70, B)))) | ((~less_3(bitIndex1)) | (v84(constB71, bitIndex1) <=> v84(constB70, bitIndex1)))),
% 8.71/6.27 inference(quant_inst,[status(thm)],[])).
% 8.71/6.27 tff(15633,plain,
% 8.71/6.27 ((~![B: $i] : ((~less_3(B)) | (v84(constB71, B) <=> v84(constB70, B)))) | (~less_3(bitIndex1)) | (v84(constB71, bitIndex1) <=> v84(constB70, bitIndex1))),
% 8.71/6.27 inference(modus_ponens,[status(thm)],[15632, 15631])).
% 8.71/6.27 tff(15634,plain,
% 8.71/6.27 (v84(constB71, bitIndex1) <=> v84(constB70, bitIndex1)),
% 8.71/6.27 inference(unit_resolution,[status(thm)],[15633, 9785, 6558])).
% 8.71/6.27 tff(15635,plain,
% 8.71/6.27 (((~![B: $i] : ((~less_3(B)) | (v84(constB70, B) <=> v123(constB70, B)))) | ((~less_3(bitIndex1)) | (v84(constB70, bitIndex1) <=> v123(constB70, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB70, B) <=> v123(constB70, B)))) | (~less_3(bitIndex1)) | (v84(constB70, bitIndex1) <=> v123(constB70, bitIndex1)))),
% 8.71/6.27 inference(rewrite,[status(thm)],[])).
% 8.71/6.27 tff(15636,plain,
% 8.71/6.27 ((~![B: $i] : ((~less_3(B)) | (v84(constB70, B) <=> v123(constB70, B)))) | ((~less_3(bitIndex1)) | (v84(constB70, bitIndex1) <=> v123(constB70, bitIndex1)))),
% 8.71/6.27 inference(quant_inst,[status(thm)],[])).
% 8.71/6.27 tff(15637,plain,
% 8.71/6.27 ((~![B: $i] : ((~less_3(B)) | (v84(constB70, B) <=> v123(constB70, B)))) | (~less_3(bitIndex1)) | (v84(constB70, bitIndex1) <=> v123(constB70, bitIndex1))),
% 8.71/6.27 inference(modus_ponens,[status(thm)],[15636, 15635])).
% 8.71/6.27 tff(15638,plain,
% 8.71/6.27 (v84(constB70, bitIndex1) <=> v123(constB70, bitIndex1)),
% 8.71/6.27 inference(unit_resolution,[status(thm)],[15637, 9785, 15559])).
% 8.71/6.27 tff(15639,plain,
% 8.71/6.27 (((~![B: $i] : ((~less_3(B)) | (v123(constB70, B) <=> v121(constB69, B)))) | ((~less_3(bitIndex1)) | (v123(constB70, bitIndex1) <=> v121(constB69, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB70, B) <=> v121(constB69, B)))) | (~less_3(bitIndex1)) | (v123(constB70, bitIndex1) <=> v121(constB69, bitIndex1)))),
% 8.71/6.27 inference(rewrite,[status(thm)],[])).
% 8.71/6.27 tff(15640,plain,
% 8.71/6.27 ((~![B: $i] : ((~less_3(B)) | (v123(constB70, B) <=> v121(constB69, B)))) | ((~less_3(bitIndex1)) | (v123(constB70, bitIndex1) <=> v121(constB69, bitIndex1)))),
% 8.71/6.27 inference(quant_inst,[status(thm)],[])).
% 8.71/6.27 tff(15641,plain,
% 8.71/6.27 ((~![B: $i] : ((~less_3(B)) | (v123(constB70, B) <=> v121(constB69, B)))) | (~less_3(bitIndex1)) | (v123(constB70, bitIndex1) <=> v121(constB69, bitIndex1))),
% 8.71/6.27 inference(modus_ponens,[status(thm)],[15640, 15639])).
% 8.71/6.27 tff(15642,plain,
% 8.71/6.27 (v123(constB70, bitIndex1) <=> v121(constB69, bitIndex1)),
% 8.71/6.27 inference(unit_resolution,[status(thm)],[15641, 9785, 15567])).
% 8.71/6.27 tff(15643,plain,
% 8.71/6.27 (((~![B: $i] : ((~less_3(B)) | (v121(constB69, B) <=> v124(constB69, B)))) | ((~less_3(bitIndex1)) | (v121(constB69, bitIndex1) <=> v124(constB69, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB69, B) <=> v124(constB69, B)))) | (~less_3(bitIndex1)) | (v121(constB69, bitIndex1) <=> v124(constB69, bitIndex1)))),
% 8.71/6.27 inference(rewrite,[status(thm)],[])).
% 8.71/6.27 tff(15644,plain,
% 8.71/6.27 ((~![B: $i] : ((~less_3(B)) | (v121(constB69, B) <=> v124(constB69, B)))) | ((~less_3(bitIndex1)) | (v121(constB69, bitIndex1) <=> v124(constB69, bitIndex1)))),
% 8.71/6.27 inference(quant_inst,[status(thm)],[])).
% 8.71/6.27 tff(15645,plain,
% 8.71/6.27 ((~![B: $i] : ((~less_3(B)) | (v121(constB69, B) <=> v124(constB69, B)))) | (~less_3(bitIndex1)) | (v121(constB69, bitIndex1) <=> v124(constB69, bitIndex1))),
% 8.71/6.27 inference(modus_ponens,[status(thm)],[15644, 15643])).
% 8.71/6.27 tff(15646,plain,
% 8.71/6.27 (v121(constB69, bitIndex1) <=> v124(constB69, bitIndex1)),
% 8.71/6.27 inference(unit_resolution,[status(thm)],[15645, 9785, 15575])).
% 8.71/6.27 tff(15647,plain,
% 8.71/6.27 (((~![B: $i] : ((~less_3(B)) | (v124(constB69, B) <=> b101(B)))) | ((~less_3(bitIndex1)) | (v124(constB69, bitIndex1) <=> b101(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB69, B) <=> b101(B)))) | (~less_3(bitIndex1)) | (v124(constB69, bitIndex1) <=> b101(bitIndex1)))),
% 8.71/6.27 inference(rewrite,[status(thm)],[])).
% 8.71/6.27 tff(15648,plain,
% 8.71/6.27 ((~![B: $i] : ((~less_3(B)) | (v124(constB69, B) <=> b101(B)))) | ((~less_3(bitIndex1)) | (v124(constB69, bitIndex1) <=> b101(bitIndex1)))),
% 8.71/6.27 inference(quant_inst,[status(thm)],[])).
% 8.71/6.27 tff(15649,plain,
% 8.71/6.27 ((~![B: $i] : ((~less_3(B)) | (v124(constB69, B) <=> b101(B)))) | (~less_3(bitIndex1)) | (v124(constB69, bitIndex1) <=> b101(bitIndex1))),
% 8.71/6.27 inference(modus_ponens,[status(thm)],[15648, 15647])).
% 8.71/6.27 tff(15650,plain,
% 8.71/6.27 (v124(constB69, bitIndex1) <=> b101(bitIndex1)),
% 8.71/6.27 inference(unit_resolution,[status(thm)],[15649, 9785, 15584])).
% 8.71/6.27 tff(15651,plain,
% 8.71/6.27 ((~(v124(constB69, bitIndex1) <=> b101(bitIndex1))) | (~v124(constB69, bitIndex1)) | b101(bitIndex1)),
% 8.71/6.27 inference(tautology,[status(thm)],[])).
% 8.71/6.27 tff(15652,plain,
% 8.71/6.27 ((~(v124(constB69, bitIndex1) <=> b101(bitIndex1))) | (~v124(constB69, bitIndex1))),
% 8.71/6.27 inference(unit_resolution,[status(thm)],[15651, 10757])).
% 8.71/6.27 tff(15653,plain,
% 8.71/6.27 (~v124(constB69, bitIndex1)),
% 8.71/6.27 inference(unit_resolution,[status(thm)],[15652, 15650])).
% 8.71/6.27 tff(15654,plain,
% 8.71/6.27 ((~(v121(constB69, bitIndex1) <=> v124(constB69, bitIndex1))) | (~v121(constB69, bitIndex1)) | v124(constB69, bitIndex1)),
% 8.71/6.27 inference(tautology,[status(thm)],[])).
% 8.71/6.27 tff(15655,plain,
% 8.71/6.27 (~v121(constB69, bitIndex1)),
% 8.71/6.27 inference(unit_resolution,[status(thm)],[15654, 15653, 15646])).
% 8.71/6.27 tff(15656,plain,
% 8.71/6.27 ((~(v123(constB70, bitIndex1) <=> v121(constB69, bitIndex1))) | (~v123(constB70, bitIndex1)) | v121(constB69, bitIndex1)),
% 8.71/6.27 inference(tautology,[status(thm)],[])).
% 8.71/6.27 tff(15657,plain,
% 8.71/6.27 (~v123(constB70, bitIndex1)),
% 8.71/6.27 inference(unit_resolution,[status(thm)],[15656, 15655, 15642])).
% 8.71/6.27 tff(15658,plain,
% 8.71/6.27 ((~(v84(constB70, bitIndex1) <=> v123(constB70, bitIndex1))) | (~v84(constB70, bitIndex1)) | v123(constB70, bitIndex1)),
% 8.71/6.27 inference(tautology,[status(thm)],[])).
% 8.71/6.27 tff(15659,plain,
% 8.71/6.27 (~v84(constB70, bitIndex1)),
% 8.71/6.27 inference(unit_resolution,[status(thm)],[15658, 15657, 15638])).
% 8.71/6.27 tff(15660,plain,
% 8.71/6.27 ((~(v84(constB71, bitIndex1) <=> v84(constB70, bitIndex1))) | (~v84(constB71, bitIndex1)) | v84(constB70, bitIndex1)),
% 8.71/6.27 inference(tautology,[status(thm)],[])).
% 8.71/6.27 tff(15661,plain,
% 8.71/6.27 (~v84(constB71, bitIndex1)),
% 8.71/6.27 inference(unit_resolution,[status(thm)],[15660, 15659, 15634])).
% 8.71/6.27 tff(15662,plain,
% 8.71/6.27 ((~((~v84(constB71, bitIndex2)) | v84(constB71, bitIndex1) | (~v84(constB71, bitIndex0)))) | (~v84(constB71, bitIndex2)) | v84(constB71, bitIndex1) | (~v84(constB71, bitIndex0))),
% 8.71/6.27 inference(tautology,[status(thm)],[])).
% 8.71/6.27 tff(15663,plain,
% 8.71/6.27 (~((~v84(constB71, bitIndex2)) | v84(constB71, bitIndex1) | (~v84(constB71, bitIndex0)))),
% 8.71/6.27 inference(unit_resolution,[status(thm)],[15662, 15661, 15630, 15599])).
% 8.71/6.27 tff(15664,plain,
% 8.71/6.27 ((~(v118(constB71) <=> (~((~v84(constB71, bitIndex2)) | v84(constB71, bitIndex1) | (~v84(constB71, bitIndex0)))))) | v118(constB71) | ((~v84(constB71, bitIndex2)) | v84(constB71, bitIndex1) | (~v84(constB71, bitIndex0)))),
% 8.71/6.27 inference(tautology,[status(thm)],[])).
% 8.71/6.27 tff(15665,plain,
% 8.71/6.27 (v118(constB71)),
% 8.71/6.27 inference(unit_resolution,[status(thm)],[15664, 15663, 6530])).
% 8.71/6.27 tff(15666,plain,
% 8.71/6.27 ((v109(constB71) | v118(constB71)) | (~v118(constB71))),
% 8.71/6.27 inference(tautology,[status(thm)],[])).
% 8.71/6.27 tff(15667,plain,
% 8.71/6.27 (v109(constB71) | v118(constB71)),
% 8.71/6.27 inference(unit_resolution,[status(thm)],[15666, 15665])).
% 8.71/6.27 tff(15668,plain,
% 8.71/6.27 ((~(v108(constB71) <=> (v109(constB71) | v118(constB71)))) | v108(constB71) | (~(v109(constB71) | v118(constB71)))),
% 8.71/6.27 inference(tautology,[status(thm)],[])).
% 8.71/6.27 tff(15669,plain,
% 8.71/6.27 (v108(constB71)),
% 8.71/6.27 inference(unit_resolution,[status(thm)],[15668, 15667, 6523])).
% 8.71/6.27 tff(15670,plain,
% 8.71/6.27 ((v108(constB71) | v119(constB71)) | (~v108(constB71))),
% 8.71/6.27 inference(tautology,[status(thm)],[])).
% 8.71/6.27 tff(15671,plain,
% 8.71/6.27 (v108(constB71) | v119(constB71)),
% 8.71/6.27 inference(unit_resolution,[status(thm)],[15670, 15669])).
% 8.71/6.27 tff(15672,plain,
% 8.71/6.27 ((~(v107(constB71) <=> (v108(constB71) | v119(constB71)))) | v107(constB71) | (~(v108(constB71) | v119(constB71)))),
% 8.71/6.27 inference(tautology,[status(thm)],[])).
% 8.71/6.27 tff(15673,plain,
% 8.71/6.27 (v107(constB71)),
% 8.71/6.27 inference(unit_resolution,[status(thm)],[15672, 15671, 6521])).
% 8.71/6.27 tff(15674,plain,
% 8.71/6.27 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB71)) <=> v105(constB71))),
% 8.71/6.27 inference(quant_inst,[status(thm)],[])).
% 8.71/6.27 tff(15675,plain,
% 8.71/6.27 ((~v120(constB71)) <=> v105(constB71)),
% 8.71/6.27 inference(unit_resolution,[status(thm)],[15674, 9842])).
% 8.71/6.27 tff(15676,plain,
% 8.71/6.27 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB71) <=> v26(constB71))),
% 8.71/6.27 inference(quant_inst,[status(thm)],[])).
% 8.71/6.28 tff(15677,plain,
% 8.71/6.28 (v105(constB71) <=> v26(constB71)),
% 8.71/6.28 inference(unit_resolution,[status(thm)],[15676, 9854])).
% 8.71/6.28 tff(15678,plain,
% 8.71/6.28 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB71))),
% 8.71/6.28 inference(quant_inst,[status(thm)],[])).
% 8.71/6.28 tff(15679,plain,
% 8.71/6.28 (~v26(constB71)),
% 8.71/6.28 inference(unit_resolution,[status(thm)],[15678, 9866])).
% 8.71/6.28 tff(15680,plain,
% 8.71/6.28 ((~(v105(constB71) <=> v26(constB71))) | (~v105(constB71)) | v26(constB71)),
% 8.71/6.28 inference(tautology,[status(thm)],[])).
% 8.71/6.28 tff(15681,plain,
% 8.71/6.28 ((~(v105(constB71) <=> v26(constB71))) | (~v105(constB71))),
% 8.71/6.28 inference(unit_resolution,[status(thm)],[15680, 15679])).
% 8.71/6.28 tff(15682,plain,
% 8.71/6.28 (~v105(constB71)),
% 8.71/6.28 inference(unit_resolution,[status(thm)],[15681, 15677])).
% 8.71/6.28 tff(15683,plain,
% 8.71/6.28 ((~((~v120(constB71)) <=> v105(constB71))) | v120(constB71) | v105(constB71)),
% 8.71/6.28 inference(tautology,[status(thm)],[])).
% 8.71/6.28 tff(15684,plain,
% 8.71/6.28 ((~((~v120(constB71)) <=> v105(constB71))) | v120(constB71)),
% 8.71/6.28 inference(unit_resolution,[status(thm)],[15683, 15682])).
% 8.71/6.28 tff(15685,plain,
% 8.71/6.28 (v120(constB71)),
% 8.71/6.28 inference(unit_resolution,[status(thm)],[15684, 15675])).
% 8.71/6.28 tff(15686,plain,
% 8.71/6.28 ((~((~v107(constB71)) | (~v120(constB71)))) | (~v107(constB71)) | (~v120(constB71))),
% 8.71/6.28 inference(tautology,[status(thm)],[])).
% 8.71/6.28 tff(15687,plain,
% 8.71/6.28 ((~((~v107(constB71)) | (~v120(constB71)))) | (~v107(constB71))),
% 8.71/6.28 inference(unit_resolution,[status(thm)],[15686, 15685])).
% 8.71/6.28 tff(15688,plain,
% 8.71/6.28 (~((~v107(constB71)) | (~v120(constB71)))),
% 8.71/6.28 inference(unit_resolution,[status(thm)],[15687, 15673])).
% 8.71/6.28 tff(15689,plain,
% 8.71/6.28 ((~(v106(constB71) <=> (~((~v107(constB71)) | (~v120(constB71)))))) | v106(constB71) | ((~v107(constB71)) | (~v120(constB71)))),
% 8.71/6.28 inference(tautology,[status(thm)],[])).
% 8.71/6.28 tff(15690,plain,
% 8.71/6.28 (v106(constB71)),
% 8.71/6.28 inference(unit_resolution,[status(thm)],[15689, 15688, 6519])).
% 8.71/6.28 tff(15691,plain,
% 8.71/6.28 ((v105(constB71) | v106(constB71)) | (~v106(constB71))),
% 8.71/6.28 inference(tautology,[status(thm)],[])).
% 8.71/6.28 tff(15692,plain,
% 8.71/6.28 (v105(constB71) | v106(constB71)),
% 8.71/6.28 inference(unit_resolution,[status(thm)],[15691, 15690])).
% 8.71/6.28 tff(15693,plain,
% 8.71/6.28 ((~(v102(constB71) <=> (v105(constB71) | v106(constB71)))) | v102(constB71) | (~(v105(constB71) | v106(constB71)))),
% 8.71/6.28 inference(tautology,[status(thm)],[])).
% 8.71/6.28 tff(15694,plain,
% 8.71/6.28 (v102(constB71)),
% 8.71/6.28 inference(unit_resolution,[status(thm)],[15693, 15692, 6517])).
% 8.71/6.28 tff(15695,plain,
% 8.71/6.28 ((~(v104(constB72) <=> v102(constB71))) | v104(constB72) | (~v102(constB71))),
% 8.71/6.28 inference(tautology,[status(thm)],[])).
% 8.71/6.28 tff(15696,plain,
% 8.71/6.28 (v104(constB72)),
% 8.71/6.28 inference(unit_resolution,[status(thm)],[15695, 15694, 6515])).
% 8.71/6.28 tff(15697,plain,
% 8.71/6.28 ((~((~v104(constB72)) | (~v95(constB72)))) | (~v104(constB72)) | (~v95(constB72))),
% 8.71/6.28 inference(tautology,[status(thm)],[])).
% 8.71/6.28 tff(15698,plain,
% 8.71/6.28 (~((~v104(constB72)) | (~v95(constB72)))),
% 8.71/6.28 inference(unit_resolution,[status(thm)],[15697, 15696, 6511])).
% 8.71/6.28 tff(15699,plain,
% 8.71/6.28 ((~(v94(constB72) <=> (~((~v104(constB72)) | (~v95(constB72)))))) | v94(constB72) | ((~v104(constB72)) | (~v95(constB72)))),
% 8.71/6.28 inference(tautology,[status(thm)],[])).
% 8.71/6.28 tff(15700,plain,
% 8.71/6.28 (v94(constB72)),
% 8.71/6.28 inference(unit_resolution,[status(thm)],[15699, 15698, 6480])).
% 8.71/6.28 tff(15701,plain,
% 8.71/6.28 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB72)) | ![B: $i] : ((~less_3(B)) | (v84(constB72, B) <=> v123(constB72, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB72)) | ![B: $i] : ((~less_3(B)) | (v84(constB72, B) <=> v123(constB72, B))))),
% 8.71/6.28 inference(rewrite,[status(thm)],[])).
% 8.71/6.28 tff(15702,plain,
% 8.71/6.28 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB72)) | ![B: $i] : ((~less_3(B)) | (v84(constB72, B) <=> v123(constB72, B))))),
% 8.71/6.28 inference(quant_inst,[status(thm)],[])).
% 8.71/6.28 tff(15703,plain,
% 8.71/6.28 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB72)) | ![B: $i] : ((~less_3(B)) | (v84(constB72, B) <=> v123(constB72, B)))),
% 8.71/6.28 inference(modus_ponens,[status(thm)],[15702, 15701])).
% 8.71/6.28 tff(15704,plain,
% 8.71/6.28 ((~v94(constB72)) | ![B: $i] : ((~less_3(B)) | (v84(constB72, B) <=> v123(constB72, B)))),
% 8.71/6.28 inference(unit_resolution,[status(thm)],[15703, 9902])).
% 8.71/6.28 tff(15705,plain,
% 8.71/6.28 (![B: $i] : ((~less_3(B)) | (v84(constB72, B) <=> v123(constB72, B)))),
% 8.71/6.28 inference(unit_resolution,[status(thm)],[15704, 15700])).
% 8.71/6.28 tff(15706,plain,
% 8.71/6.28 (((~![B: $i] : ((~less_3(B)) | (v84(constB72, B) <=> v123(constB72, B)))) | ((~less_3(bitIndex2)) | (v84(constB72, bitIndex2) <=> v123(constB72, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB72, B) <=> v123(constB72, B)))) | (~less_3(bitIndex2)) | (v84(constB72, bitIndex2) <=> v123(constB72, bitIndex2)))),
% 8.71/6.28 inference(rewrite,[status(thm)],[])).
% 8.71/6.28 tff(15707,plain,
% 8.71/6.28 ((~![B: $i] : ((~less_3(B)) | (v84(constB72, B) <=> v123(constB72, B)))) | ((~less_3(bitIndex2)) | (v84(constB72, bitIndex2) <=> v123(constB72, bitIndex2)))),
% 8.71/6.28 inference(quant_inst,[status(thm)],[])).
% 8.71/6.28 tff(15708,plain,
% 8.71/6.28 ((~![B: $i] : ((~less_3(B)) | (v84(constB72, B) <=> v123(constB72, B)))) | (~less_3(bitIndex2)) | (v84(constB72, bitIndex2) <=> v123(constB72, bitIndex2))),
% 8.71/6.28 inference(modus_ponens,[status(thm)],[15707, 15706])).
% 8.71/6.28 tff(15709,plain,
% 8.71/6.28 (v84(constB72, bitIndex2) <=> v123(constB72, bitIndex2)),
% 8.71/6.28 inference(unit_resolution,[status(thm)],[15708, 832, 15705])).
% 8.71/6.28 tff(15710,plain,
% 8.71/6.28 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB71, constB72)) | ![B: $i] : ((~less_3(B)) | (v123(constB72, B) <=> v121(constB71, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB71, constB72)) | ![B: $i] : ((~less_3(B)) | (v123(constB72, B) <=> v121(constB71, B))))),
% 8.71/6.28 inference(rewrite,[status(thm)],[])).
% 8.71/6.28 tff(15711,plain,
% 8.71/6.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB71, constB72)) | ![B: $i] : ((~less_3(B)) | (v123(constB72, B) <=> v121(constB71, B))))),
% 8.71/6.28 inference(quant_inst,[status(thm)],[])).
% 8.71/6.28 tff(15712,plain,
% 8.71/6.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB71, constB72)) | ![B: $i] : ((~less_3(B)) | (v123(constB72, B) <=> v121(constB71, B)))),
% 8.71/6.28 inference(modus_ponens,[status(thm)],[15711, 15710])).
% 8.71/6.28 tff(15713,plain,
% 8.71/6.28 (![B: $i] : ((~less_3(B)) | (v123(constB72, B) <=> v121(constB71, B)))),
% 8.71/6.28 inference(unit_resolution,[status(thm)],[15712, 6476, 9924])).
% 8.71/6.28 tff(15714,plain,
% 8.71/6.28 (((~![B: $i] : ((~less_3(B)) | (v123(constB72, B) <=> v121(constB71, B)))) | ((~less_3(bitIndex2)) | (v123(constB72, bitIndex2) <=> v121(constB71, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB72, B) <=> v121(constB71, B)))) | (~less_3(bitIndex2)) | (v123(constB72, bitIndex2) <=> v121(constB71, bitIndex2)))),
% 8.71/6.28 inference(rewrite,[status(thm)],[])).
% 8.71/6.28 tff(15715,plain,
% 8.71/6.28 ((~![B: $i] : ((~less_3(B)) | (v123(constB72, B) <=> v121(constB71, B)))) | ((~less_3(bitIndex2)) | (v123(constB72, bitIndex2) <=> v121(constB71, bitIndex2)))),
% 8.71/6.28 inference(quant_inst,[status(thm)],[])).
% 8.71/6.28 tff(15716,plain,
% 8.71/6.28 ((~![B: $i] : ((~less_3(B)) | (v123(constB72, B) <=> v121(constB71, B)))) | (~less_3(bitIndex2)) | (v123(constB72, bitIndex2) <=> v121(constB71, bitIndex2))),
% 8.71/6.28 inference(modus_ponens,[status(thm)],[15715, 15714])).
% 8.71/6.28 tff(15717,plain,
% 8.71/6.28 (v123(constB72, bitIndex2) <=> v121(constB71, bitIndex2)),
% 8.71/6.28 inference(unit_resolution,[status(thm)],[15716, 832, 15713])).
% 8.71/6.28 tff(15718,plain,
% 8.71/6.28 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB71) | ![B: $i] : ((~less_3(B)) | (v121(constB71, B) <=> v124(constB71, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB71) | ![B: $i] : ((~less_3(B)) | (v121(constB71, B) <=> v124(constB71, B))))),
% 8.71/6.28 inference(rewrite,[status(thm)],[])).
% 8.71/6.28 tff(15719,plain,
% 8.71/6.28 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB71) | ![B: $i] : ((~less_3(B)) | (v121(constB71, B) <=> v124(constB71, B))))),
% 8.71/6.28 inference(quant_inst,[status(thm)],[])).
% 8.71/6.28 tff(15720,plain,
% 8.71/6.28 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB71) | ![B: $i] : ((~less_3(B)) | (v121(constB71, B) <=> v124(constB71, B)))),
% 8.71/6.28 inference(modus_ponens,[status(thm)],[15719, 15718])).
% 8.71/6.28 tff(15721,plain,
% 8.71/6.28 (![B: $i] : ((~less_3(B)) | (v121(constB71, B) <=> v124(constB71, B)))),
% 8.71/6.28 inference(unit_resolution,[status(thm)],[15720, 9945, 15682])).
% 8.71/6.28 tff(15722,plain,
% 8.71/6.28 (((~![B: $i] : ((~less_3(B)) | (v121(constB71, B) <=> v124(constB71, B)))) | ((~less_3(bitIndex2)) | (v121(constB71, bitIndex2) <=> v124(constB71, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB71, B) <=> v124(constB71, B)))) | (~less_3(bitIndex2)) | (v121(constB71, bitIndex2) <=> v124(constB71, bitIndex2)))),
% 8.71/6.28 inference(rewrite,[status(thm)],[])).
% 8.71/6.28 tff(15723,plain,
% 8.71/6.28 ((~![B: $i] : ((~less_3(B)) | (v121(constB71, B) <=> v124(constB71, B)))) | ((~less_3(bitIndex2)) | (v121(constB71, bitIndex2) <=> v124(constB71, bitIndex2)))),
% 8.71/6.28 inference(quant_inst,[status(thm)],[])).
% 8.71/6.28 tff(15724,plain,
% 8.71/6.28 ((~![B: $i] : ((~less_3(B)) | (v121(constB71, B) <=> v124(constB71, B)))) | (~less_3(bitIndex2)) | (v121(constB71, bitIndex2) <=> v124(constB71, bitIndex2))),
% 8.71/6.28 inference(modus_ponens,[status(thm)],[15723, 15722])).
% 8.71/6.28 tff(15725,plain,
% 8.71/6.28 (v121(constB71, bitIndex2) <=> v124(constB71, bitIndex2)),
% 8.71/6.28 inference(unit_resolution,[status(thm)],[15724, 832, 15721])).
% 8.71/6.28 tff(15726,plain,
% 8.71/6.28 (((~![VarCurr: $i] : ((~v118(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b110(B))))) | ((~v118(constB71)) | ![B: $i] : ((~less_3(B)) | (v124(constB71, B) <=> b110(B))))) <=> ((~![VarCurr: $i] : ((~v118(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b110(B))))) | (~v118(constB71)) | ![B: $i] : ((~less_3(B)) | (v124(constB71, B) <=> b110(B))))),
% 8.71/6.28 inference(rewrite,[status(thm)],[])).
% 8.71/6.28 tff(15727,plain,
% 8.71/6.28 ((~![VarCurr: $i] : ((~v118(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b110(B))))) | ((~v118(constB71)) | ![B: $i] : ((~less_3(B)) | (v124(constB71, B) <=> b110(B))))),
% 8.71/6.28 inference(quant_inst,[status(thm)],[])).
% 8.71/6.28 tff(15728,plain,
% 8.71/6.28 ((~![VarCurr: $i] : ((~v118(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b110(B))))) | (~v118(constB71)) | ![B: $i] : ((~less_3(B)) | (v124(constB71, B) <=> b110(B)))),
% 8.71/6.28 inference(modus_ponens,[status(thm)],[15727, 15726])).
% 8.71/6.28 tff(15729,plain,
% 8.71/6.28 ((~v118(constB71)) | ![B: $i] : ((~less_3(B)) | (v124(constB71, B) <=> b110(B)))),
% 8.71/6.28 inference(unit_resolution,[status(thm)],[15728, 10845])).
% 8.71/6.28 tff(15730,plain,
% 8.71/6.28 (![B: $i] : ((~less_3(B)) | (v124(constB71, B) <=> b110(B)))),
% 8.71/6.28 inference(unit_resolution,[status(thm)],[15729, 15665])).
% 8.71/6.28 tff(15731,plain,
% 8.71/6.28 (((~![B: $i] : ((~less_3(B)) | (v124(constB71, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v124(constB71, bitIndex2) <=> b110(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB71, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v124(constB71, bitIndex2) <=> b110(bitIndex2)))),
% 8.71/6.28 inference(rewrite,[status(thm)],[])).
% 8.71/6.28 tff(15732,plain,
% 8.71/6.28 ((~![B: $i] : ((~less_3(B)) | (v124(constB71, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v124(constB71, bitIndex2) <=> b110(bitIndex2)))),
% 8.71/6.28 inference(quant_inst,[status(thm)],[])).
% 8.71/6.28 tff(15733,plain,
% 8.71/6.28 ((~![B: $i] : ((~less_3(B)) | (v124(constB71, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v124(constB71, bitIndex2) <=> b110(bitIndex2))),
% 8.71/6.28 inference(modus_ponens,[status(thm)],[15732, 15731])).
% 8.71/6.28 tff(15734,plain,
% 8.71/6.28 (v124(constB71, bitIndex2) <=> b110(bitIndex2)),
% 8.71/6.28 inference(unit_resolution,[status(thm)],[15733, 832, 15730])).
% 8.71/6.28 tff(15735,plain,
% 8.71/6.28 ((~(v124(constB71, bitIndex2) <=> b110(bitIndex2))) | v124(constB71, bitIndex2) | (~b110(bitIndex2))),
% 8.71/6.28 inference(tautology,[status(thm)],[])).
% 8.71/6.28 tff(15736,plain,
% 8.71/6.28 ((~(v124(constB71, bitIndex2) <=> b110(bitIndex2))) | v124(constB71, bitIndex2)),
% 8.71/6.28 inference(unit_resolution,[status(thm)],[15735, 10857])).
% 8.71/6.28 tff(15737,plain,
% 8.71/6.28 (v124(constB71, bitIndex2)),
% 8.71/6.28 inference(unit_resolution,[status(thm)],[15736, 15734])).
% 8.71/6.28 tff(15738,plain,
% 8.71/6.28 ((~(v121(constB71, bitIndex2) <=> v124(constB71, bitIndex2))) | v121(constB71, bitIndex2) | (~v124(constB71, bitIndex2))),
% 8.71/6.28 inference(tautology,[status(thm)],[])).
% 8.71/6.28 tff(15739,plain,
% 8.71/6.28 (v121(constB71, bitIndex2)),
% 8.71/6.28 inference(unit_resolution,[status(thm)],[15738, 15737, 15725])).
% 8.71/6.28 tff(15740,plain,
% 8.71/6.28 ((~(v123(constB72, bitIndex2) <=> v121(constB71, bitIndex2))) | v123(constB72, bitIndex2) | (~v121(constB71, bitIndex2))),
% 8.71/6.28 inference(tautology,[status(thm)],[])).
% 8.71/6.28 tff(15741,plain,
% 8.71/6.28 (v123(constB72, bitIndex2)),
% 8.71/6.28 inference(unit_resolution,[status(thm)],[15740, 15739, 15717])).
% 8.71/6.28 tff(15742,plain,
% 8.71/6.28 ((~(v84(constB72, bitIndex2) <=> v123(constB72, bitIndex2))) | v84(constB72, bitIndex2) | (~v123(constB72, bitIndex2))),
% 8.71/6.28 inference(tautology,[status(thm)],[])).
% 8.71/6.28 tff(15743,plain,
% 8.71/6.28 (v84(constB72, bitIndex2)),
% 8.71/6.28 inference(unit_resolution,[status(thm)],[15742, 15741, 15709])).
% 8.71/6.28 tff(15744,plain,
% 8.71/6.28 ((~(v84(constB73, bitIndex2) <=> v84(constB72, bitIndex2))) | v84(constB73, bitIndex2) | (~v84(constB72, bitIndex2))),
% 8.71/6.28 inference(tautology,[status(thm)],[])).
% 8.71/6.28 tff(15745,plain,
% 8.71/6.28 (v84(constB73, bitIndex2)),
% 8.71/6.28 inference(unit_resolution,[status(thm)],[15744, 15743, 6473])).
% 8.71/6.28 tff(15746,plain,
% 8.71/6.28 (((~![B: $i] : ((~less_3(B)) | (v84(constB73, B) <=> v84(constB72, B)))) | ((~less_3(bitIndex0)) | (v84(constB73, bitIndex0) <=> v84(constB72, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB73, B) <=> v84(constB72, B)))) | (~less_3(bitIndex0)) | (v84(constB73, bitIndex0) <=> v84(constB72, bitIndex0)))),
% 8.71/6.28 inference(rewrite,[status(thm)],[])).
% 8.71/6.28 tff(15747,plain,
% 8.71/6.28 ((~![B: $i] : ((~less_3(B)) | (v84(constB73, B) <=> v84(constB72, B)))) | ((~less_3(bitIndex0)) | (v84(constB73, bitIndex0) <=> v84(constB72, bitIndex0)))),
% 8.71/6.28 inference(quant_inst,[status(thm)],[])).
% 8.71/6.28 tff(15748,plain,
% 8.71/6.28 ((~![B: $i] : ((~less_3(B)) | (v84(constB73, B) <=> v84(constB72, B)))) | (~less_3(bitIndex0)) | (v84(constB73, bitIndex0) <=> v84(constB72, bitIndex0))),
% 8.71/6.28 inference(modus_ponens,[status(thm)],[15747, 15746])).
% 8.71/6.28 tff(15749,plain,
% 8.71/6.28 (v84(constB73, bitIndex0) <=> v84(constB72, bitIndex0)),
% 8.71/6.28 inference(unit_resolution,[status(thm)],[15748, 9772, 6469])).
% 8.71/6.28 tff(15750,plain,
% 8.71/6.28 (((~![B: $i] : ((~less_3(B)) | (v84(constB72, B) <=> v123(constB72, B)))) | ((~less_3(bitIndex0)) | (v84(constB72, bitIndex0) <=> v123(constB72, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB72, B) <=> v123(constB72, B)))) | (~less_3(bitIndex0)) | (v84(constB72, bitIndex0) <=> v123(constB72, bitIndex0)))),
% 8.71/6.28 inference(rewrite,[status(thm)],[])).
% 8.71/6.28 tff(15751,plain,
% 8.71/6.28 ((~![B: $i] : ((~less_3(B)) | (v84(constB72, B) <=> v123(constB72, B)))) | ((~less_3(bitIndex0)) | (v84(constB72, bitIndex0) <=> v123(constB72, bitIndex0)))),
% 8.71/6.28 inference(quant_inst,[status(thm)],[])).
% 8.71/6.28 tff(15752,plain,
% 8.71/6.28 ((~![B: $i] : ((~less_3(B)) | (v84(constB72, B) <=> v123(constB72, B)))) | (~less_3(bitIndex0)) | (v84(constB72, bitIndex0) <=> v123(constB72, bitIndex0))),
% 8.71/6.28 inference(modus_ponens,[status(thm)],[15751, 15750])).
% 8.71/6.28 tff(15753,plain,
% 8.71/6.28 (v84(constB72, bitIndex0) <=> v123(constB72, bitIndex0)),
% 8.71/6.28 inference(unit_resolution,[status(thm)],[15752, 9772, 15705])).
% 8.71/6.28 tff(15754,plain,
% 8.71/6.28 (((~![B: $i] : ((~less_3(B)) | (v123(constB72, B) <=> v121(constB71, B)))) | ((~less_3(bitIndex0)) | (v123(constB72, bitIndex0) <=> v121(constB71, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB72, B) <=> v121(constB71, B)))) | (~less_3(bitIndex0)) | (v123(constB72, bitIndex0) <=> v121(constB71, bitIndex0)))),
% 8.71/6.28 inference(rewrite,[status(thm)],[])).
% 8.71/6.28 tff(15755,plain,
% 8.71/6.28 ((~![B: $i] : ((~less_3(B)) | (v123(constB72, B) <=> v121(constB71, B)))) | ((~less_3(bitIndex0)) | (v123(constB72, bitIndex0) <=> v121(constB71, bitIndex0)))),
% 8.71/6.28 inference(quant_inst,[status(thm)],[])).
% 8.71/6.28 tff(15756,plain,
% 8.71/6.28 ((~![B: $i] : ((~less_3(B)) | (v123(constB72, B) <=> v121(constB71, B)))) | (~less_3(bitIndex0)) | (v123(constB72, bitIndex0) <=> v121(constB71, bitIndex0))),
% 8.71/6.28 inference(modus_ponens,[status(thm)],[15755, 15754])).
% 8.71/6.28 tff(15757,plain,
% 8.71/6.28 (v123(constB72, bitIndex0) <=> v121(constB71, bitIndex0)),
% 8.71/6.28 inference(unit_resolution,[status(thm)],[15756, 9772, 15713])).
% 8.71/6.28 tff(15758,plain,
% 8.71/6.28 (((~![B: $i] : ((~less_3(B)) | (v121(constB71, B) <=> v124(constB71, B)))) | ((~less_3(bitIndex0)) | (v121(constB71, bitIndex0) <=> v124(constB71, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB71, B) <=> v124(constB71, B)))) | (~less_3(bitIndex0)) | (v121(constB71, bitIndex0) <=> v124(constB71, bitIndex0)))),
% 8.71/6.28 inference(rewrite,[status(thm)],[])).
% 8.71/6.28 tff(15759,plain,
% 8.71/6.28 ((~![B: $i] : ((~less_3(B)) | (v121(constB71, B) <=> v124(constB71, B)))) | ((~less_3(bitIndex0)) | (v121(constB71, bitIndex0) <=> v124(constB71, bitIndex0)))),
% 8.71/6.28 inference(quant_inst,[status(thm)],[])).
% 8.71/6.28 tff(15760,plain,
% 8.71/6.28 ((~![B: $i] : ((~less_3(B)) | (v121(constB71, B) <=> v124(constB71, B)))) | (~less_3(bitIndex0)) | (v121(constB71, bitIndex0) <=> v124(constB71, bitIndex0))),
% 8.71/6.28 inference(modus_ponens,[status(thm)],[15759, 15758])).
% 8.71/6.28 tff(15761,plain,
% 8.71/6.28 (v121(constB71, bitIndex0) <=> v124(constB71, bitIndex0)),
% 8.71/6.28 inference(unit_resolution,[status(thm)],[15760, 9772, 15721])).
% 8.71/6.28 tff(15762,plain,
% 8.71/6.28 (((~![B: $i] : ((~less_3(B)) | (v124(constB71, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v124(constB71, bitIndex0) <=> b110(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB71, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v124(constB71, bitIndex0) <=> b110(bitIndex0)))),
% 8.71/6.28 inference(rewrite,[status(thm)],[])).
% 8.71/6.28 tff(15763,plain,
% 8.71/6.28 ((~![B: $i] : ((~less_3(B)) | (v124(constB71, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v124(constB71, bitIndex0) <=> b110(bitIndex0)))),
% 8.71/6.28 inference(quant_inst,[status(thm)],[])).
% 8.71/6.28 tff(15764,plain,
% 8.71/6.28 ((~![B: $i] : ((~less_3(B)) | (v124(constB71, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v124(constB71, bitIndex0) <=> b110(bitIndex0))),
% 8.71/6.28 inference(modus_ponens,[status(thm)],[15763, 15762])).
% 8.71/6.28 tff(15765,plain,
% 8.71/6.28 (v124(constB71, bitIndex0) <=> b110(bitIndex0)),
% 8.71/6.28 inference(unit_resolution,[status(thm)],[15764, 9772, 15730])).
% 8.71/6.28 tff(15766,plain,
% 8.71/6.28 ((~(v124(constB71, bitIndex0) <=> b110(bitIndex0))) | (~v124(constB71, bitIndex0)) | b110(bitIndex0)),
% 8.71/6.28 inference(tautology,[status(thm)],[])).
% 8.71/6.28 tff(15767,plain,
% 8.71/6.28 ((~(v124(constB71, bitIndex0) <=> b110(bitIndex0))) | (~v124(constB71, bitIndex0))),
% 8.71/6.28 inference(unit_resolution,[status(thm)],[15766, 10891])).
% 8.71/6.28 tff(15768,plain,
% 8.71/6.28 (~v124(constB71, bitIndex0)),
% 8.71/6.28 inference(unit_resolution,[status(thm)],[15767, 15765])).
% 8.71/6.28 tff(15769,plain,
% 8.71/6.28 ((~(v121(constB71, bitIndex0) <=> v124(constB71, bitIndex0))) | (~v121(constB71, bitIndex0)) | v124(constB71, bitIndex0)),
% 8.71/6.28 inference(tautology,[status(thm)],[])).
% 8.71/6.28 tff(15770,plain,
% 8.71/6.28 (~v121(constB71, bitIndex0)),
% 8.71/6.28 inference(unit_resolution,[status(thm)],[15769, 15768, 15761])).
% 8.71/6.28 tff(15771,plain,
% 8.71/6.28 ((~(v123(constB72, bitIndex0) <=> v121(constB71, bitIndex0))) | (~v123(constB72, bitIndex0)) | v121(constB71, bitIndex0)),
% 8.71/6.28 inference(tautology,[status(thm)],[])).
% 8.71/6.28 tff(15772,plain,
% 8.71/6.28 (~v123(constB72, bitIndex0)),
% 8.71/6.28 inference(unit_resolution,[status(thm)],[15771, 15770, 15757])).
% 8.71/6.28 tff(15773,plain,
% 8.71/6.28 ((~(v84(constB72, bitIndex0) <=> v123(constB72, bitIndex0))) | (~v84(constB72, bitIndex0)) | v123(constB72, bitIndex0)),
% 8.71/6.28 inference(tautology,[status(thm)],[])).
% 8.71/6.28 tff(15774,plain,
% 8.71/6.28 (~v84(constB72, bitIndex0)),
% 8.71/6.28 inference(unit_resolution,[status(thm)],[15773, 15772, 15753])).
% 8.71/6.28 tff(15775,plain,
% 8.71/6.28 ((~(v84(constB73, bitIndex0) <=> v84(constB72, bitIndex0))) | (~v84(constB73, bitIndex0)) | v84(constB72, bitIndex0)),
% 8.71/6.28 inference(tautology,[status(thm)],[])).
% 8.71/6.28 tff(15776,plain,
% 8.71/6.28 (~v84(constB73, bitIndex0)),
% 8.71/6.28 inference(unit_resolution,[status(thm)],[15775, 15774, 15749])).
% 8.71/6.28 tff(15777,plain,
% 8.71/6.28 (((~![B: $i] : ((~less_3(B)) | (v84(constB73, B) <=> v84(constB72, B)))) | ((~less_3(bitIndex1)) | (v84(constB73, bitIndex1) <=> v84(constB72, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB73, B) <=> v84(constB72, B)))) | (~less_3(bitIndex1)) | (v84(constB73, bitIndex1) <=> v84(constB72, bitIndex1)))),
% 8.71/6.28 inference(rewrite,[status(thm)],[])).
% 8.71/6.28 tff(15778,plain,
% 8.71/6.28 ((~![B: $i] : ((~less_3(B)) | (v84(constB73, B) <=> v84(constB72, B)))) | ((~less_3(bitIndex1)) | (v84(constB73, bitIndex1) <=> v84(constB72, bitIndex1)))),
% 8.71/6.28 inference(quant_inst,[status(thm)],[])).
% 8.71/6.28 tff(15779,plain,
% 8.71/6.28 ((~![B: $i] : ((~less_3(B)) | (v84(constB73, B) <=> v84(constB72, B)))) | (~less_3(bitIndex1)) | (v84(constB73, bitIndex1) <=> v84(constB72, bitIndex1))),
% 8.71/6.28 inference(modus_ponens,[status(thm)],[15778, 15777])).
% 8.71/6.28 tff(15780,plain,
% 8.71/6.28 (v84(constB73, bitIndex1) <=> v84(constB72, bitIndex1)),
% 8.71/6.28 inference(unit_resolution,[status(thm)],[15779, 9785, 6469])).
% 8.71/6.28 tff(15781,plain,
% 8.71/6.28 (((~![B: $i] : ((~less_3(B)) | (v84(constB72, B) <=> v123(constB72, B)))) | ((~less_3(bitIndex1)) | (v84(constB72, bitIndex1) <=> v123(constB72, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB72, B) <=> v123(constB72, B)))) | (~less_3(bitIndex1)) | (v84(constB72, bitIndex1) <=> v123(constB72, bitIndex1)))),
% 8.71/6.28 inference(rewrite,[status(thm)],[])).
% 8.71/6.28 tff(15782,plain,
% 8.71/6.28 ((~![B: $i] : ((~less_3(B)) | (v84(constB72, B) <=> v123(constB72, B)))) | ((~less_3(bitIndex1)) | (v84(constB72, bitIndex1) <=> v123(constB72, bitIndex1)))),
% 8.71/6.28 inference(quant_inst,[status(thm)],[])).
% 8.71/6.28 tff(15783,plain,
% 8.71/6.28 ((~![B: $i] : ((~less_3(B)) | (v84(constB72, B) <=> v123(constB72, B)))) | (~less_3(bitIndex1)) | (v84(constB72, bitIndex1) <=> v123(constB72, bitIndex1))),
% 8.71/6.28 inference(modus_ponens,[status(thm)],[15782, 15781])).
% 8.71/6.28 tff(15784,plain,
% 8.71/6.28 (v84(constB72, bitIndex1) <=> v123(constB72, bitIndex1)),
% 8.71/6.28 inference(unit_resolution,[status(thm)],[15783, 9785, 15705])).
% 8.71/6.28 tff(15785,plain,
% 8.71/6.28 (((~![B: $i] : ((~less_3(B)) | (v123(constB72, B) <=> v121(constB71, B)))) | ((~less_3(bitIndex1)) | (v123(constB72, bitIndex1) <=> v121(constB71, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB72, B) <=> v121(constB71, B)))) | (~less_3(bitIndex1)) | (v123(constB72, bitIndex1) <=> v121(constB71, bitIndex1)))),
% 8.71/6.28 inference(rewrite,[status(thm)],[])).
% 8.71/6.28 tff(15786,plain,
% 8.71/6.28 ((~![B: $i] : ((~less_3(B)) | (v123(constB72, B) <=> v121(constB71, B)))) | ((~less_3(bitIndex1)) | (v123(constB72, bitIndex1) <=> v121(constB71, bitIndex1)))),
% 8.71/6.28 inference(quant_inst,[status(thm)],[])).
% 8.71/6.28 tff(15787,plain,
% 8.71/6.28 ((~![B: $i] : ((~less_3(B)) | (v123(constB72, B) <=> v121(constB71, B)))) | (~less_3(bitIndex1)) | (v123(constB72, bitIndex1) <=> v121(constB71, bitIndex1))),
% 8.71/6.28 inference(modus_ponens,[status(thm)],[15786, 15785])).
% 8.71/6.28 tff(15788,plain,
% 8.71/6.28 (v123(constB72, bitIndex1) <=> v121(constB71, bitIndex1)),
% 8.71/6.28 inference(unit_resolution,[status(thm)],[15787, 9785, 15713])).
% 8.71/6.28 tff(15789,plain,
% 8.71/6.28 (((~![B: $i] : ((~less_3(B)) | (v121(constB71, B) <=> v124(constB71, B)))) | ((~less_3(bitIndex1)) | (v121(constB71, bitIndex1) <=> v124(constB71, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB71, B) <=> v124(constB71, B)))) | (~less_3(bitIndex1)) | (v121(constB71, bitIndex1) <=> v124(constB71, bitIndex1)))),
% 8.71/6.28 inference(rewrite,[status(thm)],[])).
% 8.71/6.28 tff(15790,plain,
% 8.71/6.28 ((~![B: $i] : ((~less_3(B)) | (v121(constB71, B) <=> v124(constB71, B)))) | ((~less_3(bitIndex1)) | (v121(constB71, bitIndex1) <=> v124(constB71, bitIndex1)))),
% 8.71/6.28 inference(quant_inst,[status(thm)],[])).
% 8.71/6.28 tff(15791,plain,
% 8.71/6.28 ((~![B: $i] : ((~less_3(B)) | (v121(constB71, B) <=> v124(constB71, B)))) | (~less_3(bitIndex1)) | (v121(constB71, bitIndex1) <=> v124(constB71, bitIndex1))),
% 8.71/6.28 inference(modus_ponens,[status(thm)],[15790, 15789])).
% 8.71/6.28 tff(15792,plain,
% 8.71/6.28 (v121(constB71, bitIndex1) <=> v124(constB71, bitIndex1)),
% 8.71/6.28 inference(unit_resolution,[status(thm)],[15791, 9785, 15721])).
% 8.71/6.28 tff(15793,plain,
% 8.71/6.28 (((~![B: $i] : ((~less_3(B)) | (v124(constB71, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v124(constB71, bitIndex1) <=> b110(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB71, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v124(constB71, bitIndex1) <=> b110(bitIndex1)))),
% 8.71/6.28 inference(rewrite,[status(thm)],[])).
% 8.71/6.28 tff(15794,plain,
% 8.71/6.28 ((~![B: $i] : ((~less_3(B)) | (v124(constB71, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v124(constB71, bitIndex1) <=> b110(bitIndex1)))),
% 8.71/6.28 inference(quant_inst,[status(thm)],[])).
% 8.71/6.28 tff(15795,plain,
% 8.71/6.28 ((~![B: $i] : ((~less_3(B)) | (v124(constB71, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v124(constB71, bitIndex1) <=> b110(bitIndex1))),
% 8.71/6.28 inference(modus_ponens,[status(thm)],[15794, 15793])).
% 8.71/6.28 tff(15796,plain,
% 8.71/6.28 (v124(constB71, bitIndex1) <=> b110(bitIndex1)),
% 8.71/6.28 inference(unit_resolution,[status(thm)],[15795, 9785, 15730])).
% 8.71/6.28 tff(15797,plain,
% 8.71/6.28 ((~(v124(constB71, bitIndex1) <=> b110(bitIndex1))) | v124(constB71, bitIndex1) | (~b110(bitIndex1))),
% 8.71/6.28 inference(tautology,[status(thm)],[])).
% 8.71/6.28 tff(15798,plain,
% 8.71/6.28 ((~(v124(constB71, bitIndex1) <=> b110(bitIndex1))) | v124(constB71, bitIndex1)),
% 8.71/6.28 inference(unit_resolution,[status(thm)],[15797, 10925])).
% 8.71/6.28 tff(15799,plain,
% 8.71/6.28 (v124(constB71, bitIndex1)),
% 8.71/6.28 inference(unit_resolution,[status(thm)],[15798, 15796])).
% 8.71/6.28 tff(15800,plain,
% 8.71/6.28 ((~(v121(constB71, bitIndex1) <=> v124(constB71, bitIndex1))) | v121(constB71, bitIndex1) | (~v124(constB71, bitIndex1))),
% 8.71/6.28 inference(tautology,[status(thm)],[])).
% 8.71/6.28 tff(15801,plain,
% 8.71/6.28 (v121(constB71, bitIndex1)),
% 8.71/6.28 inference(unit_resolution,[status(thm)],[15800, 15799, 15792])).
% 8.71/6.28 tff(15802,plain,
% 8.71/6.28 ((~(v123(constB72, bitIndex1) <=> v121(constB71, bitIndex1))) | v123(constB72, bitIndex1) | (~v121(constB71, bitIndex1))),
% 8.71/6.28 inference(tautology,[status(thm)],[])).
% 8.71/6.28 tff(15803,plain,
% 8.71/6.28 (v123(constB72, bitIndex1)),
% 8.71/6.28 inference(unit_resolution,[status(thm)],[15802, 15801, 15788])).
% 8.71/6.28 tff(15804,plain,
% 8.71/6.28 ((~(v84(constB72, bitIndex1) <=> v123(constB72, bitIndex1))) | v84(constB72, bitIndex1) | (~v123(constB72, bitIndex1))),
% 8.71/6.28 inference(tautology,[status(thm)],[])).
% 8.71/6.28 tff(15805,plain,
% 8.71/6.28 (v84(constB72, bitIndex1)),
% 8.71/6.28 inference(unit_resolution,[status(thm)],[15804, 15803, 15784])).
% 8.71/6.28 tff(15806,plain,
% 8.71/6.28 ((~(v84(constB73, bitIndex1) <=> v84(constB72, bitIndex1))) | v84(constB73, bitIndex1) | (~v84(constB72, bitIndex1))),
% 8.71/6.28 inference(tautology,[status(thm)],[])).
% 8.71/6.28 tff(15807,plain,
% 8.71/6.28 (v84(constB73, bitIndex1)),
% 8.71/6.28 inference(unit_resolution,[status(thm)],[15806, 15805, 15780])).
% 8.71/6.28 tff(15808,plain,
% 8.71/6.28 ((~((~v84(constB73, bitIndex2)) | (~v84(constB73, bitIndex1)) | v84(constB73, bitIndex0))) | (~v84(constB73, bitIndex2)) | (~v84(constB73, bitIndex1)) | v84(constB73, bitIndex0)),
% 8.71/6.28 inference(tautology,[status(thm)],[])).
% 8.71/6.28 tff(15809,plain,
% 8.71/6.28 (~((~v84(constB73, bitIndex2)) | (~v84(constB73, bitIndex1)) | v84(constB73, bitIndex0))),
% 8.71/6.28 inference(unit_resolution,[status(thm)],[15808, 15807, 15776, 15745])).
% 8.71/6.28 tff(15810,plain,
% 8.71/6.28 ((~(v119(constB73) <=> (~((~v84(constB73, bitIndex2)) | (~v84(constB73, bitIndex1)) | v84(constB73, bitIndex0))))) | v119(constB73) | ((~v84(constB73, bitIndex2)) | (~v84(constB73, bitIndex1)) | v84(constB73, bitIndex0))),
% 8.71/6.28 inference(tautology,[status(thm)],[])).
% 8.71/6.28 tff(15811,plain,
% 8.71/6.28 (v119(constB73)),
% 8.71/6.28 inference(unit_resolution,[status(thm)],[15810, 15809, 6441])).
% 8.71/6.28 tff(15812,plain,
% 8.71/6.28 ((v108(constB73) | v119(constB73)) | (~v119(constB73))),
% 8.71/6.28 inference(tautology,[status(thm)],[])).
% 8.71/6.28 tff(15813,plain,
% 8.71/6.28 (v108(constB73) | v119(constB73)),
% 8.71/6.28 inference(unit_resolution,[status(thm)],[15812, 15811])).
% 8.71/6.28 tff(15814,plain,
% 8.71/6.28 ((~(v107(constB73) <=> (v108(constB73) | v119(constB73)))) | v107(constB73) | (~(v108(constB73) | v119(constB73)))),
% 8.71/6.28 inference(tautology,[status(thm)],[])).
% 8.71/6.28 tff(15815,plain,
% 8.71/6.28 (v107(constB73)),
% 8.71/6.28 inference(unit_resolution,[status(thm)],[15814, 15813, 6434])).
% 8.71/6.28 tff(15816,plain,
% 8.71/6.28 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB73)) <=> v105(constB73))),
% 8.71/6.28 inference(quant_inst,[status(thm)],[])).
% 8.71/6.28 tff(15817,plain,
% 8.71/6.28 ((~v120(constB73)) <=> v105(constB73)),
% 8.71/6.28 inference(unit_resolution,[status(thm)],[15816, 9842])).
% 8.71/6.28 tff(15818,plain,
% 8.71/6.28 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB73) <=> v26(constB73))),
% 8.71/6.28 inference(quant_inst,[status(thm)],[])).
% 8.71/6.28 tff(15819,plain,
% 8.71/6.28 (v105(constB73) <=> v26(constB73)),
% 8.71/6.28 inference(unit_resolution,[status(thm)],[15818, 9854])).
% 8.71/6.28 tff(15820,plain,
% 8.71/6.28 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB73))),
% 8.71/6.28 inference(quant_inst,[status(thm)],[])).
% 8.71/6.28 tff(15821,plain,
% 8.71/6.28 (~v26(constB73)),
% 8.71/6.28 inference(unit_resolution,[status(thm)],[15820, 9866])).
% 8.71/6.28 tff(15822,plain,
% 8.71/6.28 ((~(v105(constB73) <=> v26(constB73))) | (~v105(constB73)) | v26(constB73)),
% 8.71/6.28 inference(tautology,[status(thm)],[])).
% 8.71/6.28 tff(15823,plain,
% 8.71/6.28 ((~(v105(constB73) <=> v26(constB73))) | (~v105(constB73))),
% 8.71/6.28 inference(unit_resolution,[status(thm)],[15822, 15821])).
% 8.71/6.28 tff(15824,plain,
% 8.71/6.28 (~v105(constB73)),
% 8.71/6.28 inference(unit_resolution,[status(thm)],[15823, 15819])).
% 8.71/6.28 tff(15825,plain,
% 8.71/6.28 ((~((~v120(constB73)) <=> v105(constB73))) | v120(constB73) | v105(constB73)),
% 8.71/6.28 inference(tautology,[status(thm)],[])).
% 8.71/6.28 tff(15826,plain,
% 8.71/6.28 ((~((~v120(constB73)) <=> v105(constB73))) | v120(constB73)),
% 8.71/6.28 inference(unit_resolution,[status(thm)],[15825, 15824])).
% 8.71/6.28 tff(15827,plain,
% 8.71/6.28 (v120(constB73)),
% 8.71/6.28 inference(unit_resolution,[status(thm)],[15826, 15817])).
% 8.71/6.28 tff(15828,plain,
% 8.71/6.28 ((~((~v107(constB73)) | (~v120(constB73)))) | (~v107(constB73)) | (~v120(constB73))),
% 8.71/6.28 inference(tautology,[status(thm)],[])).
% 8.71/6.28 tff(15829,plain,
% 8.71/6.28 ((~((~v107(constB73)) | (~v120(constB73)))) | (~v107(constB73))),
% 8.71/6.28 inference(unit_resolution,[status(thm)],[15828, 15827])).
% 8.71/6.28 tff(15830,plain,
% 8.71/6.28 (~((~v107(constB73)) | (~v120(constB73)))),
% 8.71/6.28 inference(unit_resolution,[status(thm)],[15829, 15815])).
% 8.71/6.28 tff(15831,plain,
% 8.71/6.28 ((~(v106(constB73) <=> (~((~v107(constB73)) | (~v120(constB73)))))) | v106(constB73) | ((~v107(constB73)) | (~v120(constB73)))),
% 8.71/6.28 inference(tautology,[status(thm)],[])).
% 8.71/6.28 tff(15832,plain,
% 8.71/6.28 (v106(constB73)),
% 8.71/6.28 inference(unit_resolution,[status(thm)],[15831, 15830, 6432])).
% 8.71/6.28 tff(15833,plain,
% 8.71/6.28 ((v105(constB73) | v106(constB73)) | (~v106(constB73))),
% 8.71/6.28 inference(tautology,[status(thm)],[])).
% 8.71/6.28 tff(15834,plain,
% 8.71/6.28 (v105(constB73) | v106(constB73)),
% 8.71/6.28 inference(unit_resolution,[status(thm)],[15833, 15832])).
% 8.71/6.28 tff(15835,plain,
% 8.71/6.28 ((~(v102(constB73) <=> (v105(constB73) | v106(constB73)))) | v102(constB73) | (~(v105(constB73) | v106(constB73)))),
% 8.71/6.28 inference(tautology,[status(thm)],[])).
% 8.71/6.28 tff(15836,plain,
% 8.71/6.28 (v102(constB73)),
% 8.71/6.28 inference(unit_resolution,[status(thm)],[15835, 15834, 6430])).
% 8.71/6.28 tff(15837,plain,
% 8.71/6.28 ((~(v104(constB74) <=> v102(constB73))) | v104(constB74) | (~v102(constB73))),
% 8.71/6.28 inference(tautology,[status(thm)],[])).
% 8.71/6.28 tff(15838,plain,
% 8.71/6.28 (v104(constB74)),
% 8.71/6.28 inference(unit_resolution,[status(thm)],[15837, 15836, 6428])).
% 8.71/6.28 tff(15839,plain,
% 8.71/6.28 ((~((~v104(constB74)) | (~v95(constB74)))) | (~v104(constB74)) | (~v95(constB74))),
% 8.71/6.28 inference(tautology,[status(thm)],[])).
% 8.71/6.28 tff(15840,plain,
% 8.71/6.28 (~((~v104(constB74)) | (~v95(constB74)))),
% 8.71/6.28 inference(unit_resolution,[status(thm)],[15839, 15838, 6424])).
% 8.71/6.28 tff(15841,plain,
% 8.71/6.28 ((~(v94(constB74) <=> (~((~v104(constB74)) | (~v95(constB74)))))) | v94(constB74) | ((~v104(constB74)) | (~v95(constB74)))),
% 8.71/6.28 inference(tautology,[status(thm)],[])).
% 8.71/6.28 tff(15842,plain,
% 8.71/6.28 (v94(constB74)),
% 8.71/6.28 inference(unit_resolution,[status(thm)],[15841, 15840, 6393])).
% 8.71/6.28 tff(15843,plain,
% 8.71/6.28 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB74)) | ![B: $i] : ((~less_3(B)) | (v84(constB74, B) <=> v123(constB74, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB74)) | ![B: $i] : ((~less_3(B)) | (v84(constB74, B) <=> v123(constB74, B))))),
% 8.71/6.28 inference(rewrite,[status(thm)],[])).
% 8.71/6.28 tff(15844,plain,
% 8.71/6.28 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB74)) | ![B: $i] : ((~less_3(B)) | (v84(constB74, B) <=> v123(constB74, B))))),
% 8.71/6.28 inference(quant_inst,[status(thm)],[])).
% 8.71/6.29 tff(15845,plain,
% 8.71/6.29 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB74)) | ![B: $i] : ((~less_3(B)) | (v84(constB74, B) <=> v123(constB74, B)))),
% 8.71/6.29 inference(modus_ponens,[status(thm)],[15844, 15843])).
% 8.71/6.29 tff(15846,plain,
% 8.71/6.29 ((~v94(constB74)) | ![B: $i] : ((~less_3(B)) | (v84(constB74, B) <=> v123(constB74, B)))),
% 8.71/6.29 inference(unit_resolution,[status(thm)],[15845, 9902])).
% 8.71/6.29 tff(15847,plain,
% 8.71/6.29 (![B: $i] : ((~less_3(B)) | (v84(constB74, B) <=> v123(constB74, B)))),
% 8.71/6.29 inference(unit_resolution,[status(thm)],[15846, 15842])).
% 8.71/6.29 tff(15848,plain,
% 8.71/6.29 (((~![B: $i] : ((~less_3(B)) | (v84(constB74, B) <=> v123(constB74, B)))) | ((~less_3(bitIndex2)) | (v84(constB74, bitIndex2) <=> v123(constB74, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB74, B) <=> v123(constB74, B)))) | (~less_3(bitIndex2)) | (v84(constB74, bitIndex2) <=> v123(constB74, bitIndex2)))),
% 8.71/6.29 inference(rewrite,[status(thm)],[])).
% 8.71/6.29 tff(15849,plain,
% 8.71/6.29 ((~![B: $i] : ((~less_3(B)) | (v84(constB74, B) <=> v123(constB74, B)))) | ((~less_3(bitIndex2)) | (v84(constB74, bitIndex2) <=> v123(constB74, bitIndex2)))),
% 8.71/6.29 inference(quant_inst,[status(thm)],[])).
% 8.71/6.29 tff(15850,plain,
% 8.71/6.29 ((~![B: $i] : ((~less_3(B)) | (v84(constB74, B) <=> v123(constB74, B)))) | (~less_3(bitIndex2)) | (v84(constB74, bitIndex2) <=> v123(constB74, bitIndex2))),
% 8.71/6.29 inference(modus_ponens,[status(thm)],[15849, 15848])).
% 8.71/6.29 tff(15851,plain,
% 8.71/6.29 (v84(constB74, bitIndex2) <=> v123(constB74, bitIndex2)),
% 8.71/6.29 inference(unit_resolution,[status(thm)],[15850, 832, 15847])).
% 8.71/6.29 tff(15852,plain,
% 8.71/6.29 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB73, constB74)) | ![B: $i] : ((~less_3(B)) | (v123(constB74, B) <=> v121(constB73, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB73, constB74)) | ![B: $i] : ((~less_3(B)) | (v123(constB74, B) <=> v121(constB73, B))))),
% 8.71/6.29 inference(rewrite,[status(thm)],[])).
% 8.71/6.29 tff(15853,plain,
% 8.71/6.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB73, constB74)) | ![B: $i] : ((~less_3(B)) | (v123(constB74, B) <=> v121(constB73, B))))),
% 8.71/6.29 inference(quant_inst,[status(thm)],[])).
% 8.71/6.29 tff(15854,plain,
% 8.71/6.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB73, constB74)) | ![B: $i] : ((~less_3(B)) | (v123(constB74, B) <=> v121(constB73, B)))),
% 8.71/6.29 inference(modus_ponens,[status(thm)],[15853, 15852])).
% 8.71/6.29 tff(15855,plain,
% 8.71/6.29 (![B: $i] : ((~less_3(B)) | (v123(constB74, B) <=> v121(constB73, B)))),
% 8.71/6.29 inference(unit_resolution,[status(thm)],[15854, 6389, 9924])).
% 8.71/6.29 tff(15856,plain,
% 8.71/6.29 (((~![B: $i] : ((~less_3(B)) | (v123(constB74, B) <=> v121(constB73, B)))) | ((~less_3(bitIndex2)) | (v123(constB74, bitIndex2) <=> v121(constB73, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB74, B) <=> v121(constB73, B)))) | (~less_3(bitIndex2)) | (v123(constB74, bitIndex2) <=> v121(constB73, bitIndex2)))),
% 8.71/6.29 inference(rewrite,[status(thm)],[])).
% 8.71/6.29 tff(15857,plain,
% 8.71/6.29 ((~![B: $i] : ((~less_3(B)) | (v123(constB74, B) <=> v121(constB73, B)))) | ((~less_3(bitIndex2)) | (v123(constB74, bitIndex2) <=> v121(constB73, bitIndex2)))),
% 8.71/6.29 inference(quant_inst,[status(thm)],[])).
% 8.71/6.29 tff(15858,plain,
% 8.71/6.29 ((~![B: $i] : ((~less_3(B)) | (v123(constB74, B) <=> v121(constB73, B)))) | (~less_3(bitIndex2)) | (v123(constB74, bitIndex2) <=> v121(constB73, bitIndex2))),
% 8.71/6.29 inference(modus_ponens,[status(thm)],[15857, 15856])).
% 8.71/6.29 tff(15859,plain,
% 8.71/6.29 (v123(constB74, bitIndex2) <=> v121(constB73, bitIndex2)),
% 8.71/6.29 inference(unit_resolution,[status(thm)],[15858, 832, 15855])).
% 8.71/6.29 tff(15860,plain,
% 8.71/6.29 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB73) | ![B: $i] : ((~less_3(B)) | (v121(constB73, B) <=> v124(constB73, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB73) | ![B: $i] : ((~less_3(B)) | (v121(constB73, B) <=> v124(constB73, B))))),
% 8.71/6.29 inference(rewrite,[status(thm)],[])).
% 8.71/6.29 tff(15861,plain,
% 8.71/6.29 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB73) | ![B: $i] : ((~less_3(B)) | (v121(constB73, B) <=> v124(constB73, B))))),
% 8.71/6.29 inference(quant_inst,[status(thm)],[])).
% 8.71/6.29 tff(15862,plain,
% 8.71/6.29 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB73) | ![B: $i] : ((~less_3(B)) | (v121(constB73, B) <=> v124(constB73, B)))),
% 8.71/6.29 inference(modus_ponens,[status(thm)],[15861, 15860])).
% 8.71/6.29 tff(15863,plain,
% 8.71/6.29 (![B: $i] : ((~less_3(B)) | (v121(constB73, B) <=> v124(constB73, B)))),
% 8.71/6.29 inference(unit_resolution,[status(thm)],[15862, 9945, 15824])).
% 8.71/6.29 tff(15864,plain,
% 8.71/6.29 (((~![B: $i] : ((~less_3(B)) | (v121(constB73, B) <=> v124(constB73, B)))) | ((~less_3(bitIndex2)) | (v121(constB73, bitIndex2) <=> v124(constB73, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB73, B) <=> v124(constB73, B)))) | (~less_3(bitIndex2)) | (v121(constB73, bitIndex2) <=> v124(constB73, bitIndex2)))),
% 8.71/6.29 inference(rewrite,[status(thm)],[])).
% 8.71/6.29 tff(15865,plain,
% 8.71/6.29 ((~![B: $i] : ((~less_3(B)) | (v121(constB73, B) <=> v124(constB73, B)))) | ((~less_3(bitIndex2)) | (v121(constB73, bitIndex2) <=> v124(constB73, bitIndex2)))),
% 8.71/6.29 inference(quant_inst,[status(thm)],[])).
% 8.71/6.29 tff(15866,plain,
% 8.71/6.29 ((~![B: $i] : ((~less_3(B)) | (v121(constB73, B) <=> v124(constB73, B)))) | (~less_3(bitIndex2)) | (v121(constB73, bitIndex2) <=> v124(constB73, bitIndex2))),
% 8.71/6.29 inference(modus_ponens,[status(thm)],[15865, 15864])).
% 8.71/6.29 tff(15867,plain,
% 8.71/6.29 (v121(constB73, bitIndex2) <=> v124(constB73, bitIndex2)),
% 8.71/6.29 inference(unit_resolution,[status(thm)],[15866, 832, 15863])).
% 8.71/6.29 tff(15868,plain,
% 8.71/6.29 ((~![VarCurr: $i] : (v113(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))))) | (v113(constB73) <=> (~(v84(constB73, bitIndex0) | v84(constB73, bitIndex1) | v84(constB73, bitIndex2))))),
% 8.71/6.29 inference(quant_inst,[status(thm)],[])).
% 8.71/6.29 tff(15869,plain,
% 8.71/6.29 (v113(constB73) <=> (~(v84(constB73, bitIndex0) | v84(constB73, bitIndex1) | v84(constB73, bitIndex2)))),
% 8.71/6.29 inference(unit_resolution,[status(thm)],[15868, 9739])).
% 8.71/6.29 tff(15870,plain,
% 8.71/6.29 ((v84(constB73, bitIndex0) | v84(constB73, bitIndex1) | v84(constB73, bitIndex2)) | (~v84(constB73, bitIndex2))),
% 8.71/6.29 inference(tautology,[status(thm)],[])).
% 8.71/6.29 tff(15871,plain,
% 8.71/6.29 (v84(constB73, bitIndex0) | v84(constB73, bitIndex1) | v84(constB73, bitIndex2)),
% 8.71/6.29 inference(unit_resolution,[status(thm)],[15870, 15745])).
% 8.71/6.29 tff(15872,plain,
% 8.71/6.29 ((~(v113(constB73) <=> (~(v84(constB73, bitIndex0) | v84(constB73, bitIndex1) | v84(constB73, bitIndex2))))) | (~v113(constB73)) | (~(v84(constB73, bitIndex0) | v84(constB73, bitIndex1) | v84(constB73, bitIndex2)))),
% 8.71/6.29 inference(tautology,[status(thm)],[])).
% 8.71/6.29 tff(15873,plain,
% 8.71/6.29 (~v113(constB73)),
% 8.71/6.29 inference(unit_resolution,[status(thm)],[15872, 15871, 15869])).
% 8.71/6.29 tff(15874,plain,
% 8.71/6.29 (((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB73) <=> (~((~v84(constB73, bitIndex2)) | v84(constB73, bitIndex1) | (~v84(constB73, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB73) <=> (~((~v84(constB73, bitIndex2)) | v84(constB73, bitIndex1) | (~v84(constB73, bitIndex0))))))),
% 8.71/6.29 inference(rewrite,[status(thm)],[])).
% 8.71/6.29 tff(15875,plain,
% 8.71/6.29 ((v118(constB73) <=> (~(v84(constB73, bitIndex1) | (~v84(constB73, bitIndex0)) | (~v84(constB73, bitIndex2))))) <=> (v118(constB73) <=> (~((~v84(constB73, bitIndex2)) | v84(constB73, bitIndex1) | (~v84(constB73, bitIndex0)))))),
% 8.71/6.29 inference(rewrite,[status(thm)],[])).
% 8.71/6.29 tff(15876,plain,
% 8.71/6.29 (((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB73) <=> (~(v84(constB73, bitIndex1) | (~v84(constB73, bitIndex0)) | (~v84(constB73, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB73) <=> (~((~v84(constB73, bitIndex2)) | v84(constB73, bitIndex1) | (~v84(constB73, bitIndex0))))))),
% 8.71/6.29 inference(monotonicity,[status(thm)],[15875])).
% 8.71/6.29 tff(15877,plain,
% 8.71/6.29 (((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB73) <=> (~(v84(constB73, bitIndex1) | (~v84(constB73, bitIndex0)) | (~v84(constB73, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB73) <=> (~((~v84(constB73, bitIndex2)) | v84(constB73, bitIndex1) | (~v84(constB73, bitIndex0))))))),
% 8.71/6.29 inference(transitivity,[status(thm)],[15876, 15874])).
% 8.71/6.29 tff(15878,plain,
% 8.71/6.29 ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB73) <=> (~(v84(constB73, bitIndex1) | (~v84(constB73, bitIndex0)) | (~v84(constB73, bitIndex2)))))),
% 8.71/6.29 inference(quant_inst,[status(thm)],[])).
% 8.71/6.29 tff(15879,plain,
% 8.71/6.29 ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB73) <=> (~((~v84(constB73, bitIndex2)) | v84(constB73, bitIndex1) | (~v84(constB73, bitIndex0)))))),
% 8.71/6.29 inference(modus_ponens,[status(thm)],[15878, 15877])).
% 8.71/6.29 tff(15880,plain,
% 8.71/6.29 (v118(constB73) <=> (~((~v84(constB73, bitIndex2)) | v84(constB73, bitIndex1) | (~v84(constB73, bitIndex0))))),
% 8.71/6.29 inference(unit_resolution,[status(thm)],[15879, 960])).
% 8.71/6.29 tff(15881,plain,
% 8.71/6.29 (((~v84(constB73, bitIndex2)) | v84(constB73, bitIndex1) | (~v84(constB73, bitIndex0))) | (~v84(constB73, bitIndex1))),
% 8.71/6.29 inference(tautology,[status(thm)],[])).
% 8.71/6.29 tff(15882,plain,
% 8.71/6.29 ((~v84(constB73, bitIndex2)) | v84(constB73, bitIndex1) | (~v84(constB73, bitIndex0))),
% 8.71/6.29 inference(unit_resolution,[status(thm)],[15881, 15807])).
% 8.71/6.29 tff(15883,plain,
% 8.71/6.29 ((~(v118(constB73) <=> (~((~v84(constB73, bitIndex2)) | v84(constB73, bitIndex1) | (~v84(constB73, bitIndex0)))))) | (~v118(constB73)) | (~((~v84(constB73, bitIndex2)) | v84(constB73, bitIndex1) | (~v84(constB73, bitIndex0))))),
% 8.71/6.29 inference(tautology,[status(thm)],[])).
% 8.71/6.29 tff(15884,plain,
% 8.71/6.29 (~v118(constB73)),
% 8.71/6.29 inference(unit_resolution,[status(thm)],[15883, 15882, 15880])).
% 8.71/6.29 tff(15885,plain,
% 8.71/6.29 (((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB73) <=> (~((~v84(constB73, bitIndex2)) | v84(constB73, bitIndex1) | v84(constB73, bitIndex0))))) <=> ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB73) <=> (~((~v84(constB73, bitIndex2)) | v84(constB73, bitIndex1) | v84(constB73, bitIndex0)))))),
% 8.71/6.29 inference(rewrite,[status(thm)],[])).
% 8.71/6.29 tff(15886,plain,
% 8.71/6.29 ((v117(constB73) <=> (~(v84(constB73, bitIndex0) | v84(constB73, bitIndex1) | (~v84(constB73, bitIndex2))))) <=> (v117(constB73) <=> (~((~v84(constB73, bitIndex2)) | v84(constB73, bitIndex1) | v84(constB73, bitIndex0))))),
% 8.71/6.29 inference(rewrite,[status(thm)],[])).
% 8.71/6.29 tff(15887,plain,
% 8.71/6.29 (((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB73) <=> (~(v84(constB73, bitIndex0) | v84(constB73, bitIndex1) | (~v84(constB73, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB73) <=> (~((~v84(constB73, bitIndex2)) | v84(constB73, bitIndex1) | v84(constB73, bitIndex0)))))),
% 8.71/6.29 inference(monotonicity,[status(thm)],[15886])).
% 8.71/6.29 tff(15888,plain,
% 8.71/6.29 (((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB73) <=> (~(v84(constB73, bitIndex0) | v84(constB73, bitIndex1) | (~v84(constB73, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB73) <=> (~((~v84(constB73, bitIndex2)) | v84(constB73, bitIndex1) | v84(constB73, bitIndex0)))))),
% 8.71/6.29 inference(transitivity,[status(thm)],[15887, 15885])).
% 8.71/6.29 tff(15889,plain,
% 8.71/6.29 ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB73) <=> (~(v84(constB73, bitIndex0) | v84(constB73, bitIndex1) | (~v84(constB73, bitIndex2)))))),
% 8.71/6.29 inference(quant_inst,[status(thm)],[])).
% 8.71/6.29 tff(15890,plain,
% 8.71/6.29 ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB73) <=> (~((~v84(constB73, bitIndex2)) | v84(constB73, bitIndex1) | v84(constB73, bitIndex0))))),
% 8.71/6.29 inference(modus_ponens,[status(thm)],[15889, 15888])).
% 8.71/6.29 tff(15891,plain,
% 8.71/6.29 (v117(constB73) <=> (~((~v84(constB73, bitIndex2)) | v84(constB73, bitIndex1) | v84(constB73, bitIndex0)))),
% 8.71/6.29 inference(unit_resolution,[status(thm)],[15890, 1071])).
% 8.71/6.29 tff(15892,plain,
% 8.71/6.29 (((~v84(constB73, bitIndex2)) | v84(constB73, bitIndex1) | v84(constB73, bitIndex0)) | (~v84(constB73, bitIndex1))),
% 8.71/6.29 inference(tautology,[status(thm)],[])).
% 8.71/6.29 tff(15893,plain,
% 8.71/6.29 ((~v84(constB73, bitIndex2)) | v84(constB73, bitIndex1) | v84(constB73, bitIndex0)),
% 8.71/6.29 inference(unit_resolution,[status(thm)],[15892, 15807])).
% 8.71/6.29 tff(15894,plain,
% 8.71/6.29 ((~(v117(constB73) <=> (~((~v84(constB73, bitIndex2)) | v84(constB73, bitIndex1) | v84(constB73, bitIndex0))))) | (~v117(constB73)) | (~((~v84(constB73, bitIndex2)) | v84(constB73, bitIndex1) | v84(constB73, bitIndex0)))),
% 8.71/6.29 inference(tautology,[status(thm)],[])).
% 8.71/6.29 tff(15895,plain,
% 8.71/6.29 (~v117(constB73)),
% 8.71/6.29 inference(unit_resolution,[status(thm)],[15894, 15893, 15891])).
% 8.71/6.29 tff(15896,plain,
% 8.71/6.29 ((~![VarCurr: $i] : (v116(VarCurr) <=> (~(v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex0)))))) | (v116(constB73) <=> (~(v84(constB73, bitIndex2) | (~v84(constB73, bitIndex1)) | (~v84(constB73, bitIndex0)))))),
% 8.71/6.29 inference(quant_inst,[status(thm)],[])).
% 8.71/6.29 tff(15897,plain,
% 8.71/6.29 (v116(constB73) <=> (~(v84(constB73, bitIndex2) | (~v84(constB73, bitIndex1)) | (~v84(constB73, bitIndex0))))),
% 8.71/6.29 inference(unit_resolution,[status(thm)],[15896, 1184])).
% 8.71/6.29 tff(15898,plain,
% 8.71/6.29 ((v84(constB73, bitIndex2) | (~v84(constB73, bitIndex1)) | (~v84(constB73, bitIndex0))) | (~v84(constB73, bitIndex2))),
% 8.71/6.29 inference(tautology,[status(thm)],[])).
% 8.71/6.29 tff(15899,plain,
% 8.71/6.29 (v84(constB73, bitIndex2) | (~v84(constB73, bitIndex1)) | (~v84(constB73, bitIndex0))),
% 8.71/6.29 inference(unit_resolution,[status(thm)],[15898, 15745])).
% 8.71/6.29 tff(15900,plain,
% 8.71/6.29 ((~(v116(constB73) <=> (~(v84(constB73, bitIndex2) | (~v84(constB73, bitIndex1)) | (~v84(constB73, bitIndex0)))))) | (~v116(constB73)) | (~(v84(constB73, bitIndex2) | (~v84(constB73, bitIndex1)) | (~v84(constB73, bitIndex0))))),
% 8.71/6.29 inference(tautology,[status(thm)],[])).
% 8.71/6.29 tff(15901,plain,
% 8.71/6.29 (~v116(constB73)),
% 8.71/6.29 inference(unit_resolution,[status(thm)],[15900, 15899, 15897])).
% 8.71/6.29 tff(15902,plain,
% 8.71/6.29 (((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB73) <=> (~(v84(constB73, bitIndex2) | (~v84(constB73, bitIndex1)) | v84(constB73, bitIndex0))))) <=> ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB73) <=> (~(v84(constB73, bitIndex2) | (~v84(constB73, bitIndex1)) | v84(constB73, bitIndex0)))))),
% 8.71/6.29 inference(rewrite,[status(thm)],[])).
% 8.71/6.29 tff(15903,plain,
% 8.71/6.29 ((v115(constB73) <=> (~(v84(constB73, bitIndex0) | v84(constB73, bitIndex2) | (~v84(constB73, bitIndex1))))) <=> (v115(constB73) <=> (~(v84(constB73, bitIndex2) | (~v84(constB73, bitIndex1)) | v84(constB73, bitIndex0))))),
% 8.71/6.29 inference(rewrite,[status(thm)],[])).
% 8.71/6.29 tff(15904,plain,
% 8.71/6.29 (((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB73) <=> (~(v84(constB73, bitIndex0) | v84(constB73, bitIndex2) | (~v84(constB73, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB73) <=> (~(v84(constB73, bitIndex2) | (~v84(constB73, bitIndex1)) | v84(constB73, bitIndex0)))))),
% 8.71/6.29 inference(monotonicity,[status(thm)],[15903])).
% 8.71/6.29 tff(15905,plain,
% 8.71/6.29 (((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB73) <=> (~(v84(constB73, bitIndex0) | v84(constB73, bitIndex2) | (~v84(constB73, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB73) <=> (~(v84(constB73, bitIndex2) | (~v84(constB73, bitIndex1)) | v84(constB73, bitIndex0)))))),
% 8.71/6.29 inference(transitivity,[status(thm)],[15904, 15902])).
% 8.71/6.29 tff(15906,plain,
% 8.71/6.29 ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB73) <=> (~(v84(constB73, bitIndex0) | v84(constB73, bitIndex2) | (~v84(constB73, bitIndex1)))))),
% 8.71/6.29 inference(quant_inst,[status(thm)],[])).
% 8.71/6.29 tff(15907,plain,
% 8.71/6.29 ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB73) <=> (~(v84(constB73, bitIndex2) | (~v84(constB73, bitIndex1)) | v84(constB73, bitIndex0))))),
% 8.71/6.29 inference(modus_ponens,[status(thm)],[15906, 15905])).
% 8.71/6.29 tff(15908,plain,
% 8.71/6.29 (v115(constB73) <=> (~(v84(constB73, bitIndex2) | (~v84(constB73, bitIndex1)) | v84(constB73, bitIndex0)))),
% 8.71/6.29 inference(unit_resolution,[status(thm)],[15907, 1294])).
% 8.71/6.29 tff(15909,plain,
% 8.71/6.29 ((v84(constB73, bitIndex2) | (~v84(constB73, bitIndex1)) | v84(constB73, bitIndex0)) | (~v84(constB73, bitIndex2))),
% 8.71/6.29 inference(tautology,[status(thm)],[])).
% 8.71/6.29 tff(15910,plain,
% 8.71/6.29 (v84(constB73, bitIndex2) | (~v84(constB73, bitIndex1)) | v84(constB73, bitIndex0)),
% 8.71/6.29 inference(unit_resolution,[status(thm)],[15909, 15745])).
% 8.71/6.29 tff(15911,plain,
% 8.71/6.29 ((~(v115(constB73) <=> (~(v84(constB73, bitIndex2) | (~v84(constB73, bitIndex1)) | v84(constB73, bitIndex0))))) | (~v115(constB73)) | (~(v84(constB73, bitIndex2) | (~v84(constB73, bitIndex1)) | v84(constB73, bitIndex0)))),
% 8.71/6.29 inference(tautology,[status(thm)],[])).
% 8.71/6.29 tff(15912,plain,
% 8.71/6.29 (~v115(constB73)),
% 8.71/6.29 inference(unit_resolution,[status(thm)],[15911, 15910, 15908])).
% 8.71/6.29 tff(15913,plain,
% 8.71/6.29 (((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB73) <=> (~(v84(constB73, bitIndex2) | v84(constB73, bitIndex1) | (~v84(constB73, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB73) <=> (~(v84(constB73, bitIndex2) | v84(constB73, bitIndex1) | (~v84(constB73, bitIndex0))))))),
% 8.71/6.29 inference(rewrite,[status(thm)],[])).
% 8.71/6.29 tff(15914,plain,
% 8.71/6.29 ((v114(constB73) <=> (~(v84(constB73, bitIndex1) | v84(constB73, bitIndex2) | (~v84(constB73, bitIndex0))))) <=> (v114(constB73) <=> (~(v84(constB73, bitIndex2) | v84(constB73, bitIndex1) | (~v84(constB73, bitIndex0)))))),
% 8.71/6.29 inference(rewrite,[status(thm)],[])).
% 8.71/6.29 tff(15915,plain,
% 8.71/6.29 (((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB73) <=> (~(v84(constB73, bitIndex1) | v84(constB73, bitIndex2) | (~v84(constB73, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB73) <=> (~(v84(constB73, bitIndex2) | v84(constB73, bitIndex1) | (~v84(constB73, bitIndex0))))))),
% 8.71/6.29 inference(monotonicity,[status(thm)],[15914])).
% 8.71/6.29 tff(15916,plain,
% 8.71/6.29 (((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB73) <=> (~(v84(constB73, bitIndex1) | v84(constB73, bitIndex2) | (~v84(constB73, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB73) <=> (~(v84(constB73, bitIndex2) | v84(constB73, bitIndex1) | (~v84(constB73, bitIndex0))))))),
% 8.71/6.29 inference(transitivity,[status(thm)],[15915, 15913])).
% 8.71/6.29 tff(15917,plain,
% 8.71/6.29 ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB73) <=> (~(v84(constB73, bitIndex1) | v84(constB73, bitIndex2) | (~v84(constB73, bitIndex0)))))),
% 8.71/6.29 inference(quant_inst,[status(thm)],[])).
% 8.71/6.29 tff(15918,plain,
% 8.71/6.29 ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB73) <=> (~(v84(constB73, bitIndex2) | v84(constB73, bitIndex1) | (~v84(constB73, bitIndex0)))))),
% 8.71/6.29 inference(modus_ponens,[status(thm)],[15917, 15916])).
% 8.71/6.29 tff(15919,plain,
% 8.71/6.29 (v114(constB73) <=> (~(v84(constB73, bitIndex2) | v84(constB73, bitIndex1) | (~v84(constB73, bitIndex0))))),
% 8.71/6.29 inference(unit_resolution,[status(thm)],[15918, 1411])).
% 8.71/6.29 tff(15920,plain,
% 8.71/6.29 ((v84(constB73, bitIndex2) | v84(constB73, bitIndex1) | (~v84(constB73, bitIndex0))) | (~v84(constB73, bitIndex2))),
% 8.71/6.29 inference(tautology,[status(thm)],[])).
% 8.71/6.29 tff(15921,plain,
% 8.71/6.29 (v84(constB73, bitIndex2) | v84(constB73, bitIndex1) | (~v84(constB73, bitIndex0))),
% 8.71/6.29 inference(unit_resolution,[status(thm)],[15920, 15745])).
% 8.71/6.29 tff(15922,plain,
% 8.71/6.29 ((~(v114(constB73) <=> (~(v84(constB73, bitIndex2) | v84(constB73, bitIndex1) | (~v84(constB73, bitIndex0)))))) | (~v114(constB73)) | (~(v84(constB73, bitIndex2) | v84(constB73, bitIndex1) | (~v84(constB73, bitIndex0))))),
% 8.71/6.29 inference(tautology,[status(thm)],[])).
% 8.71/6.29 tff(15923,plain,
% 8.71/6.29 (~v114(constB73)),
% 8.71/6.29 inference(unit_resolution,[status(thm)],[15922, 15921, 15919])).
% 8.71/6.29 tff(15924,plain,
% 8.71/6.29 (((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | (v113(constB73) | v114(constB73) | v115(constB73) | v116(constB73) | v117(constB73) | v118(constB73) | ![B: $i] : ((~less_3(B)) | (v124(constB73, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | v113(constB73) | v114(constB73) | v115(constB73) | v116(constB73) | v117(constB73) | v118(constB73) | ![B: $i] : ((~less_3(B)) | (v124(constB73, B) <=> b001(B))))),
% 8.71/6.29 inference(rewrite,[status(thm)],[])).
% 8.71/6.29 tff(15925,plain,
% 8.71/6.29 ((v118(constB73) | v117(constB73) | v116(constB73) | v115(constB73) | v114(constB73) | v113(constB73) | ![B: $i] : ((~less_3(B)) | (v124(constB73, B) <=> b001(B)))) <=> (v113(constB73) | v114(constB73) | v115(constB73) | v116(constB73) | v117(constB73) | v118(constB73) | ![B: $i] : ((~less_3(B)) | (v124(constB73, B) <=> b001(B))))),
% 8.71/6.29 inference(rewrite,[status(thm)],[])).
% 8.71/6.29 tff(15926,plain,
% 8.71/6.29 (((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | (v118(constB73) | v117(constB73) | v116(constB73) | v115(constB73) | v114(constB73) | v113(constB73) | ![B: $i] : ((~less_3(B)) | (v124(constB73, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | (v113(constB73) | v114(constB73) | v115(constB73) | v116(constB73) | v117(constB73) | v118(constB73) | ![B: $i] : ((~less_3(B)) | (v124(constB73, B) <=> b001(B)))))),
% 8.71/6.29 inference(monotonicity,[status(thm)],[15925])).
% 8.71/6.29 tff(15927,plain,
% 8.71/6.29 (((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | (v118(constB73) | v117(constB73) | v116(constB73) | v115(constB73) | v114(constB73) | v113(constB73) | ![B: $i] : ((~less_3(B)) | (v124(constB73, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | v113(constB73) | v114(constB73) | v115(constB73) | v116(constB73) | v117(constB73) | v118(constB73) | ![B: $i] : ((~less_3(B)) | (v124(constB73, B) <=> b001(B))))),
% 8.71/6.29 inference(transitivity,[status(thm)],[15926, 15924])).
% 8.71/6.29 tff(15928,plain,
% 8.71/6.29 ((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | (v118(constB73) | v117(constB73) | v116(constB73) | v115(constB73) | v114(constB73) | v113(constB73) | ![B: $i] : ((~less_3(B)) | (v124(constB73, B) <=> b001(B))))),
% 8.71/6.29 inference(quant_inst,[status(thm)],[])).
% 8.71/6.29 tff(15929,plain,
% 8.71/6.29 ((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | v113(constB73) | v114(constB73) | v115(constB73) | v116(constB73) | v117(constB73) | v118(constB73) | ![B: $i] : ((~less_3(B)) | (v124(constB73, B) <=> b001(B)))),
% 8.71/6.29 inference(modus_ponens,[status(thm)],[15928, 15927])).
% 8.71/6.29 tff(15930,plain,
% 8.71/6.29 (v113(constB73) | v114(constB73) | v115(constB73) | v116(constB73) | v117(constB73) | v118(constB73) | ![B: $i] : ((~less_3(B)) | (v124(constB73, B) <=> b001(B)))),
% 8.71/6.29 inference(unit_resolution,[status(thm)],[15929, 11068])).
% 8.71/6.29 tff(15931,plain,
% 8.71/6.29 (![B: $i] : ((~less_3(B)) | (v124(constB73, B) <=> b001(B)))),
% 8.71/6.29 inference(unit_resolution,[status(thm)],[15930, 15923, 15912, 15901, 15895, 15884, 15873])).
% 8.71/6.29 tff(15932,plain,
% 8.71/6.29 (((~![B: $i] : ((~less_3(B)) | (v124(constB73, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v124(constB73, bitIndex2) <=> b001(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB73, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v124(constB73, bitIndex2) <=> b001(bitIndex2)))),
% 8.71/6.29 inference(rewrite,[status(thm)],[])).
% 8.71/6.29 tff(15933,plain,
% 8.71/6.29 ((~![B: $i] : ((~less_3(B)) | (v124(constB73, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v124(constB73, bitIndex2) <=> b001(bitIndex2)))),
% 8.71/6.29 inference(quant_inst,[status(thm)],[])).
% 8.71/6.29 tff(15934,plain,
% 8.71/6.29 ((~![B: $i] : ((~less_3(B)) | (v124(constB73, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v124(constB73, bitIndex2) <=> b001(bitIndex2))),
% 8.71/6.29 inference(modus_ponens,[status(thm)],[15933, 15932])).
% 8.71/6.29 tff(15935,plain,
% 8.71/6.29 (v124(constB73, bitIndex2) <=> b001(bitIndex2)),
% 8.71/6.29 inference(unit_resolution,[status(thm)],[15934, 832, 15931])).
% 8.71/6.29 tff(15936,plain,
% 8.71/6.29 ((~(v124(constB73, bitIndex2) <=> b001(bitIndex2))) | (~v124(constB73, bitIndex2)) | b001(bitIndex2)),
% 8.71/6.29 inference(tautology,[status(thm)],[])).
% 8.71/6.29 tff(15937,plain,
% 8.71/6.29 ((~(v124(constB73, bitIndex2) <=> b001(bitIndex2))) | (~v124(constB73, bitIndex2))),
% 8.71/6.29 inference(unit_resolution,[status(thm)],[15936, 9977])).
% 8.71/6.29 tff(15938,plain,
% 8.71/6.29 (~v124(constB73, bitIndex2)),
% 8.71/6.29 inference(unit_resolution,[status(thm)],[15937, 15935])).
% 8.71/6.29 tff(15939,plain,
% 8.71/6.29 ((~(v121(constB73, bitIndex2) <=> v124(constB73, bitIndex2))) | (~v121(constB73, bitIndex2)) | v124(constB73, bitIndex2)),
% 8.71/6.29 inference(tautology,[status(thm)],[])).
% 8.71/6.29 tff(15940,plain,
% 8.71/6.29 (~v121(constB73, bitIndex2)),
% 8.71/6.29 inference(unit_resolution,[status(thm)],[15939, 15938, 15867])).
% 8.71/6.29 tff(15941,plain,
% 8.71/6.29 ((~(v123(constB74, bitIndex2) <=> v121(constB73, bitIndex2))) | (~v123(constB74, bitIndex2)) | v121(constB73, bitIndex2)),
% 8.71/6.29 inference(tautology,[status(thm)],[])).
% 8.71/6.29 tff(15942,plain,
% 8.71/6.29 (~v123(constB74, bitIndex2)),
% 8.71/6.29 inference(unit_resolution,[status(thm)],[15941, 15940, 15859])).
% 8.71/6.29 tff(15943,plain,
% 8.71/6.29 ((~(v84(constB74, bitIndex2) <=> v123(constB74, bitIndex2))) | (~v84(constB74, bitIndex2)) | v123(constB74, bitIndex2)),
% 8.71/6.30 inference(tautology,[status(thm)],[])).
% 8.71/6.30 tff(15944,plain,
% 8.71/6.30 (~v84(constB74, bitIndex2)),
% 8.71/6.30 inference(unit_resolution,[status(thm)],[15943, 15942, 15851])).
% 8.71/6.30 tff(15945,plain,
% 8.71/6.30 ((~(v84(constB75, bitIndex2) <=> v84(constB74, bitIndex2))) | (~v84(constB75, bitIndex2)) | v84(constB74, bitIndex2)),
% 8.71/6.30 inference(tautology,[status(thm)],[])).
% 8.71/6.30 tff(15946,plain,
% 8.71/6.30 (~v84(constB75, bitIndex2)),
% 8.71/6.30 inference(unit_resolution,[status(thm)],[15945, 15944, 6386])).
% 8.71/6.30 tff(15947,plain,
% 8.71/6.30 (((~![B: $i] : ((~less_3(B)) | (v84(constB75, B) <=> v84(constB74, B)))) | ((~less_3(bitIndex0)) | (v84(constB75, bitIndex0) <=> v84(constB74, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB75, B) <=> v84(constB74, B)))) | (~less_3(bitIndex0)) | (v84(constB75, bitIndex0) <=> v84(constB74, bitIndex0)))),
% 8.71/6.30 inference(rewrite,[status(thm)],[])).
% 8.71/6.30 tff(15948,plain,
% 8.71/6.30 ((~![B: $i] : ((~less_3(B)) | (v84(constB75, B) <=> v84(constB74, B)))) | ((~less_3(bitIndex0)) | (v84(constB75, bitIndex0) <=> v84(constB74, bitIndex0)))),
% 8.71/6.30 inference(quant_inst,[status(thm)],[])).
% 8.71/6.30 tff(15949,plain,
% 8.71/6.30 ((~![B: $i] : ((~less_3(B)) | (v84(constB75, B) <=> v84(constB74, B)))) | (~less_3(bitIndex0)) | (v84(constB75, bitIndex0) <=> v84(constB74, bitIndex0))),
% 8.71/6.30 inference(modus_ponens,[status(thm)],[15948, 15947])).
% 8.71/6.30 tff(15950,plain,
% 8.71/6.30 (v84(constB75, bitIndex0) <=> v84(constB74, bitIndex0)),
% 8.71/6.30 inference(unit_resolution,[status(thm)],[15949, 9772, 6382])).
% 8.71/6.30 tff(15951,plain,
% 8.71/6.30 (((~![B: $i] : ((~less_3(B)) | (v84(constB74, B) <=> v123(constB74, B)))) | ((~less_3(bitIndex0)) | (v84(constB74, bitIndex0) <=> v123(constB74, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB74, B) <=> v123(constB74, B)))) | (~less_3(bitIndex0)) | (v84(constB74, bitIndex0) <=> v123(constB74, bitIndex0)))),
% 8.71/6.30 inference(rewrite,[status(thm)],[])).
% 8.71/6.30 tff(15952,plain,
% 8.71/6.30 ((~![B: $i] : ((~less_3(B)) | (v84(constB74, B) <=> v123(constB74, B)))) | ((~less_3(bitIndex0)) | (v84(constB74, bitIndex0) <=> v123(constB74, bitIndex0)))),
% 8.71/6.30 inference(quant_inst,[status(thm)],[])).
% 8.71/6.30 tff(15953,plain,
% 8.71/6.30 ((~![B: $i] : ((~less_3(B)) | (v84(constB74, B) <=> v123(constB74, B)))) | (~less_3(bitIndex0)) | (v84(constB74, bitIndex0) <=> v123(constB74, bitIndex0))),
% 8.71/6.30 inference(modus_ponens,[status(thm)],[15952, 15951])).
% 8.71/6.30 tff(15954,plain,
% 8.71/6.30 (v84(constB74, bitIndex0) <=> v123(constB74, bitIndex0)),
% 8.71/6.30 inference(unit_resolution,[status(thm)],[15953, 9772, 15847])).
% 8.71/6.30 tff(15955,plain,
% 8.71/6.30 (((~![B: $i] : ((~less_3(B)) | (v123(constB74, B) <=> v121(constB73, B)))) | ((~less_3(bitIndex0)) | (v123(constB74, bitIndex0) <=> v121(constB73, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB74, B) <=> v121(constB73, B)))) | (~less_3(bitIndex0)) | (v123(constB74, bitIndex0) <=> v121(constB73, bitIndex0)))),
% 8.71/6.30 inference(rewrite,[status(thm)],[])).
% 8.71/6.30 tff(15956,plain,
% 8.71/6.30 ((~![B: $i] : ((~less_3(B)) | (v123(constB74, B) <=> v121(constB73, B)))) | ((~less_3(bitIndex0)) | (v123(constB74, bitIndex0) <=> v121(constB73, bitIndex0)))),
% 8.71/6.30 inference(quant_inst,[status(thm)],[])).
% 8.71/6.30 tff(15957,plain,
% 8.71/6.30 ((~![B: $i] : ((~less_3(B)) | (v123(constB74, B) <=> v121(constB73, B)))) | (~less_3(bitIndex0)) | (v123(constB74, bitIndex0) <=> v121(constB73, bitIndex0))),
% 8.71/6.30 inference(modus_ponens,[status(thm)],[15956, 15955])).
% 8.71/6.30 tff(15958,plain,
% 8.71/6.30 (v123(constB74, bitIndex0) <=> v121(constB73, bitIndex0)),
% 8.71/6.30 inference(unit_resolution,[status(thm)],[15957, 9772, 15855])).
% 8.71/6.30 tff(15959,plain,
% 8.71/6.30 (((~![B: $i] : ((~less_3(B)) | (v121(constB73, B) <=> v124(constB73, B)))) | ((~less_3(bitIndex0)) | (v121(constB73, bitIndex0) <=> v124(constB73, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB73, B) <=> v124(constB73, B)))) | (~less_3(bitIndex0)) | (v121(constB73, bitIndex0) <=> v124(constB73, bitIndex0)))),
% 8.71/6.30 inference(rewrite,[status(thm)],[])).
% 8.71/6.30 tff(15960,plain,
% 8.71/6.30 ((~![B: $i] : ((~less_3(B)) | (v121(constB73, B) <=> v124(constB73, B)))) | ((~less_3(bitIndex0)) | (v121(constB73, bitIndex0) <=> v124(constB73, bitIndex0)))),
% 8.71/6.30 inference(quant_inst,[status(thm)],[])).
% 8.71/6.30 tff(15961,plain,
% 8.71/6.30 ((~![B: $i] : ((~less_3(B)) | (v121(constB73, B) <=> v124(constB73, B)))) | (~less_3(bitIndex0)) | (v121(constB73, bitIndex0) <=> v124(constB73, bitIndex0))),
% 8.71/6.30 inference(modus_ponens,[status(thm)],[15960, 15959])).
% 8.71/6.30 tff(15962,plain,
% 8.71/6.30 (v121(constB73, bitIndex0) <=> v124(constB73, bitIndex0)),
% 8.71/6.30 inference(unit_resolution,[status(thm)],[15961, 9772, 15863])).
% 8.71/6.30 tff(15963,plain,
% 8.71/6.30 (((~![B: $i] : ((~less_3(B)) | (v124(constB73, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v124(constB73, bitIndex0) <=> b001(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB73, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v124(constB73, bitIndex0) <=> b001(bitIndex0)))),
% 8.71/6.30 inference(rewrite,[status(thm)],[])).
% 8.71/6.30 tff(15964,plain,
% 8.71/6.30 ((~![B: $i] : ((~less_3(B)) | (v124(constB73, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v124(constB73, bitIndex0) <=> b001(bitIndex0)))),
% 8.71/6.30 inference(quant_inst,[status(thm)],[])).
% 8.71/6.30 tff(15965,plain,
% 8.71/6.30 ((~![B: $i] : ((~less_3(B)) | (v124(constB73, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v124(constB73, bitIndex0) <=> b001(bitIndex0))),
% 8.71/6.30 inference(modus_ponens,[status(thm)],[15964, 15963])).
% 8.71/6.30 tff(15966,plain,
% 8.71/6.30 (v124(constB73, bitIndex0) <=> b001(bitIndex0)),
% 8.71/6.30 inference(unit_resolution,[status(thm)],[15965, 9772, 15931])).
% 8.71/6.30 tff(15967,plain,
% 8.71/6.30 ((~(v124(constB73, bitIndex0) <=> b001(bitIndex0))) | v124(constB73, bitIndex0) | (~b001(bitIndex0))),
% 8.71/6.30 inference(tautology,[status(thm)],[])).
% 8.71/6.30 tff(15968,plain,
% 8.71/6.30 ((~(v124(constB73, bitIndex0) <=> b001(bitIndex0))) | v124(constB73, bitIndex0)),
% 8.71/6.30 inference(unit_resolution,[status(thm)],[15967, 10011])).
% 8.71/6.30 tff(15969,plain,
% 8.71/6.30 (v124(constB73, bitIndex0)),
% 8.71/6.30 inference(unit_resolution,[status(thm)],[15968, 15966])).
% 8.71/6.30 tff(15970,plain,
% 8.71/6.30 ((~(v121(constB73, bitIndex0) <=> v124(constB73, bitIndex0))) | v121(constB73, bitIndex0) | (~v124(constB73, bitIndex0))),
% 8.71/6.30 inference(tautology,[status(thm)],[])).
% 8.71/6.30 tff(15971,plain,
% 8.71/6.30 (v121(constB73, bitIndex0)),
% 8.71/6.30 inference(unit_resolution,[status(thm)],[15970, 15969, 15962])).
% 8.71/6.30 tff(15972,plain,
% 8.71/6.30 ((~(v123(constB74, bitIndex0) <=> v121(constB73, bitIndex0))) | v123(constB74, bitIndex0) | (~v121(constB73, bitIndex0))),
% 8.71/6.30 inference(tautology,[status(thm)],[])).
% 8.71/6.30 tff(15973,plain,
% 8.71/6.30 (v123(constB74, bitIndex0)),
% 8.71/6.30 inference(unit_resolution,[status(thm)],[15972, 15971, 15958])).
% 8.71/6.30 tff(15974,plain,
% 8.71/6.30 ((~(v84(constB74, bitIndex0) <=> v123(constB74, bitIndex0))) | v84(constB74, bitIndex0) | (~v123(constB74, bitIndex0))),
% 8.71/6.30 inference(tautology,[status(thm)],[])).
% 8.71/6.30 tff(15975,plain,
% 8.71/6.30 (v84(constB74, bitIndex0)),
% 8.71/6.30 inference(unit_resolution,[status(thm)],[15974, 15973, 15954])).
% 8.71/6.30 tff(15976,plain,
% 8.71/6.30 ((~(v84(constB75, bitIndex0) <=> v84(constB74, bitIndex0))) | v84(constB75, bitIndex0) | (~v84(constB74, bitIndex0))),
% 8.71/6.30 inference(tautology,[status(thm)],[])).
% 8.71/6.30 tff(15977,plain,
% 8.71/6.30 (v84(constB75, bitIndex0)),
% 8.71/6.30 inference(unit_resolution,[status(thm)],[15976, 15975, 15950])).
% 8.71/6.30 tff(15978,plain,
% 8.71/6.30 (((~![B: $i] : ((~less_3(B)) | (v84(constB75, B) <=> v84(constB74, B)))) | ((~less_3(bitIndex1)) | (v84(constB75, bitIndex1) <=> v84(constB74, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB75, B) <=> v84(constB74, B)))) | (~less_3(bitIndex1)) | (v84(constB75, bitIndex1) <=> v84(constB74, bitIndex1)))),
% 8.71/6.30 inference(rewrite,[status(thm)],[])).
% 8.71/6.30 tff(15979,plain,
% 8.71/6.30 ((~![B: $i] : ((~less_3(B)) | (v84(constB75, B) <=> v84(constB74, B)))) | ((~less_3(bitIndex1)) | (v84(constB75, bitIndex1) <=> v84(constB74, bitIndex1)))),
% 8.71/6.30 inference(quant_inst,[status(thm)],[])).
% 8.71/6.30 tff(15980,plain,
% 8.71/6.30 ((~![B: $i] : ((~less_3(B)) | (v84(constB75, B) <=> v84(constB74, B)))) | (~less_3(bitIndex1)) | (v84(constB75, bitIndex1) <=> v84(constB74, bitIndex1))),
% 8.71/6.30 inference(modus_ponens,[status(thm)],[15979, 15978])).
% 8.71/6.30 tff(15981,plain,
% 8.71/6.30 (v84(constB75, bitIndex1) <=> v84(constB74, bitIndex1)),
% 8.71/6.30 inference(unit_resolution,[status(thm)],[15980, 9785, 6382])).
% 8.71/6.30 tff(15982,plain,
% 8.71/6.30 (((~![B: $i] : ((~less_3(B)) | (v84(constB74, B) <=> v123(constB74, B)))) | ((~less_3(bitIndex1)) | (v84(constB74, bitIndex1) <=> v123(constB74, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB74, B) <=> v123(constB74, B)))) | (~less_3(bitIndex1)) | (v84(constB74, bitIndex1) <=> v123(constB74, bitIndex1)))),
% 8.71/6.30 inference(rewrite,[status(thm)],[])).
% 8.71/6.30 tff(15983,plain,
% 8.71/6.30 ((~![B: $i] : ((~less_3(B)) | (v84(constB74, B) <=> v123(constB74, B)))) | ((~less_3(bitIndex1)) | (v84(constB74, bitIndex1) <=> v123(constB74, bitIndex1)))),
% 8.71/6.30 inference(quant_inst,[status(thm)],[])).
% 8.71/6.30 tff(15984,plain,
% 8.71/6.30 ((~![B: $i] : ((~less_3(B)) | (v84(constB74, B) <=> v123(constB74, B)))) | (~less_3(bitIndex1)) | (v84(constB74, bitIndex1) <=> v123(constB74, bitIndex1))),
% 8.71/6.30 inference(modus_ponens,[status(thm)],[15983, 15982])).
% 8.71/6.30 tff(15985,plain,
% 8.71/6.30 (v84(constB74, bitIndex1) <=> v123(constB74, bitIndex1)),
% 8.71/6.30 inference(unit_resolution,[status(thm)],[15984, 9785, 15847])).
% 8.71/6.30 tff(15986,plain,
% 8.71/6.30 (((~![B: $i] : ((~less_3(B)) | (v123(constB74, B) <=> v121(constB73, B)))) | ((~less_3(bitIndex1)) | (v123(constB74, bitIndex1) <=> v121(constB73, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB74, B) <=> v121(constB73, B)))) | (~less_3(bitIndex1)) | (v123(constB74, bitIndex1) <=> v121(constB73, bitIndex1)))),
% 8.71/6.30 inference(rewrite,[status(thm)],[])).
% 8.71/6.30 tff(15987,plain,
% 8.71/6.30 ((~![B: $i] : ((~less_3(B)) | (v123(constB74, B) <=> v121(constB73, B)))) | ((~less_3(bitIndex1)) | (v123(constB74, bitIndex1) <=> v121(constB73, bitIndex1)))),
% 8.71/6.30 inference(quant_inst,[status(thm)],[])).
% 8.71/6.30 tff(15988,plain,
% 8.71/6.30 ((~![B: $i] : ((~less_3(B)) | (v123(constB74, B) <=> v121(constB73, B)))) | (~less_3(bitIndex1)) | (v123(constB74, bitIndex1) <=> v121(constB73, bitIndex1))),
% 8.71/6.30 inference(modus_ponens,[status(thm)],[15987, 15986])).
% 8.71/6.30 tff(15989,plain,
% 8.71/6.30 (v123(constB74, bitIndex1) <=> v121(constB73, bitIndex1)),
% 8.71/6.30 inference(unit_resolution,[status(thm)],[15988, 9785, 15855])).
% 8.71/6.30 tff(15990,plain,
% 8.71/6.30 (((~![B: $i] : ((~less_3(B)) | (v121(constB73, B) <=> v124(constB73, B)))) | ((~less_3(bitIndex1)) | (v121(constB73, bitIndex1) <=> v124(constB73, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB73, B) <=> v124(constB73, B)))) | (~less_3(bitIndex1)) | (v121(constB73, bitIndex1) <=> v124(constB73, bitIndex1)))),
% 8.71/6.30 inference(rewrite,[status(thm)],[])).
% 8.71/6.30 tff(15991,plain,
% 8.71/6.30 ((~![B: $i] : ((~less_3(B)) | (v121(constB73, B) <=> v124(constB73, B)))) | ((~less_3(bitIndex1)) | (v121(constB73, bitIndex1) <=> v124(constB73, bitIndex1)))),
% 8.71/6.30 inference(quant_inst,[status(thm)],[])).
% 8.71/6.30 tff(15992,plain,
% 8.71/6.30 ((~![B: $i] : ((~less_3(B)) | (v121(constB73, B) <=> v124(constB73, B)))) | (~less_3(bitIndex1)) | (v121(constB73, bitIndex1) <=> v124(constB73, bitIndex1))),
% 8.71/6.30 inference(modus_ponens,[status(thm)],[15991, 15990])).
% 8.71/6.30 tff(15993,plain,
% 8.71/6.30 (v121(constB73, bitIndex1) <=> v124(constB73, bitIndex1)),
% 8.71/6.30 inference(unit_resolution,[status(thm)],[15992, 9785, 15863])).
% 8.71/6.30 tff(15994,plain,
% 8.71/6.30 (((~![B: $i] : ((~less_3(B)) | (v124(constB73, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v124(constB73, bitIndex1) <=> b001(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB73, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v124(constB73, bitIndex1) <=> b001(bitIndex1)))),
% 8.71/6.30 inference(rewrite,[status(thm)],[])).
% 8.71/6.30 tff(15995,plain,
% 8.71/6.30 ((~![B: $i] : ((~less_3(B)) | (v124(constB73, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v124(constB73, bitIndex1) <=> b001(bitIndex1)))),
% 8.71/6.30 inference(quant_inst,[status(thm)],[])).
% 8.71/6.30 tff(15996,plain,
% 8.71/6.30 ((~![B: $i] : ((~less_3(B)) | (v124(constB73, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v124(constB73, bitIndex1) <=> b001(bitIndex1))),
% 8.71/6.30 inference(modus_ponens,[status(thm)],[15995, 15994])).
% 8.71/6.30 tff(15997,plain,
% 8.71/6.30 (v124(constB73, bitIndex1) <=> b001(bitIndex1)),
% 8.71/6.30 inference(unit_resolution,[status(thm)],[15996, 9785, 15931])).
% 8.71/6.30 tff(15998,plain,
% 8.71/6.30 ((~(v124(constB73, bitIndex1) <=> b001(bitIndex1))) | (~v124(constB73, bitIndex1)) | b001(bitIndex1)),
% 8.71/6.30 inference(tautology,[status(thm)],[])).
% 8.71/6.30 tff(15999,plain,
% 8.71/6.30 ((~(v124(constB73, bitIndex1) <=> b001(bitIndex1))) | (~v124(constB73, bitIndex1))),
% 8.71/6.30 inference(unit_resolution,[status(thm)],[15998, 10045])).
% 8.71/6.30 tff(16000,plain,
% 8.71/6.30 (~v124(constB73, bitIndex1)),
% 8.71/6.30 inference(unit_resolution,[status(thm)],[15999, 15997])).
% 8.71/6.30 tff(16001,plain,
% 8.71/6.30 ((~(v121(constB73, bitIndex1) <=> v124(constB73, bitIndex1))) | (~v121(constB73, bitIndex1)) | v124(constB73, bitIndex1)),
% 8.71/6.30 inference(tautology,[status(thm)],[])).
% 8.71/6.30 tff(16002,plain,
% 8.71/6.30 (~v121(constB73, bitIndex1)),
% 8.71/6.30 inference(unit_resolution,[status(thm)],[16001, 16000, 15993])).
% 8.71/6.30 tff(16003,plain,
% 8.71/6.30 ((~(v123(constB74, bitIndex1) <=> v121(constB73, bitIndex1))) | (~v123(constB74, bitIndex1)) | v121(constB73, bitIndex1)),
% 8.71/6.30 inference(tautology,[status(thm)],[])).
% 8.71/6.30 tff(16004,plain,
% 8.71/6.30 (~v123(constB74, bitIndex1)),
% 8.71/6.30 inference(unit_resolution,[status(thm)],[16003, 16002, 15989])).
% 8.71/6.30 tff(16005,plain,
% 8.71/6.30 ((~(v84(constB74, bitIndex1) <=> v123(constB74, bitIndex1))) | (~v84(constB74, bitIndex1)) | v123(constB74, bitIndex1)),
% 8.71/6.30 inference(tautology,[status(thm)],[])).
% 8.71/6.30 tff(16006,plain,
% 8.71/6.30 (~v84(constB74, bitIndex1)),
% 8.71/6.30 inference(unit_resolution,[status(thm)],[16005, 16004, 15985])).
% 8.71/6.30 tff(16007,plain,
% 8.71/6.30 ((~(v84(constB75, bitIndex1) <=> v84(constB74, bitIndex1))) | (~v84(constB75, bitIndex1)) | v84(constB74, bitIndex1)),
% 8.71/6.30 inference(tautology,[status(thm)],[])).
% 8.71/6.30 tff(16008,plain,
% 8.71/6.30 (~v84(constB75, bitIndex1)),
% 8.71/6.30 inference(unit_resolution,[status(thm)],[16007, 16006, 15981])).
% 8.71/6.30 tff(16009,plain,
% 8.71/6.30 ((~(v84(constB75, bitIndex2) | v84(constB75, bitIndex1) | (~v84(constB75, bitIndex0)))) | v84(constB75, bitIndex2) | v84(constB75, bitIndex1) | (~v84(constB75, bitIndex0))),
% 8.71/6.30 inference(tautology,[status(thm)],[])).
% 8.71/6.30 tff(16010,plain,
% 8.71/6.30 (~(v84(constB75, bitIndex2) | v84(constB75, bitIndex1) | (~v84(constB75, bitIndex0)))),
% 8.71/6.30 inference(unit_resolution,[status(thm)],[16009, 16008, 15977, 15946])).
% 8.71/6.30 tff(16011,plain,
% 8.71/6.30 ((~(v114(constB75) <=> (~(v84(constB75, bitIndex2) | v84(constB75, bitIndex1) | (~v84(constB75, bitIndex0)))))) | v114(constB75) | (v84(constB75, bitIndex2) | v84(constB75, bitIndex1) | (~v84(constB75, bitIndex0)))),
% 8.71/6.30 inference(tautology,[status(thm)],[])).
% 8.71/6.30 tff(16012,plain,
% 8.71/6.30 (v114(constB75)),
% 8.71/6.30 inference(unit_resolution,[status(thm)],[16011, 16010, 6354])).
% 8.71/6.30 tff(16013,plain,
% 8.71/6.30 ((v113(constB75) | v114(constB75)) | (~v114(constB75))),
% 8.71/6.30 inference(tautology,[status(thm)],[])).
% 8.71/6.30 tff(16014,plain,
% 8.71/6.30 (v113(constB75) | v114(constB75)),
% 8.71/6.30 inference(unit_resolution,[status(thm)],[16013, 16012])).
% 8.71/6.30 tff(16015,plain,
% 8.71/6.30 ((~(v112(constB75) <=> (v113(constB75) | v114(constB75)))) | v112(constB75) | (~(v113(constB75) | v114(constB75)))),
% 8.71/6.30 inference(tautology,[status(thm)],[])).
% 8.71/6.30 tff(16016,plain,
% 8.71/6.30 (v112(constB75)),
% 8.71/6.30 inference(unit_resolution,[status(thm)],[16015, 16014, 6347])).
% 8.71/6.30 tff(16017,plain,
% 8.71/6.30 ((v112(constB75) | v115(constB75)) | (~v112(constB75))),
% 8.71/6.30 inference(tautology,[status(thm)],[])).
% 8.71/6.30 tff(16018,plain,
% 8.71/6.30 (v112(constB75) | v115(constB75)),
% 8.71/6.30 inference(unit_resolution,[status(thm)],[16017, 16016])).
% 8.71/6.30 tff(16019,plain,
% 8.71/6.30 ((~(v111(constB75) <=> (v112(constB75) | v115(constB75)))) | v111(constB75) | (~(v112(constB75) | v115(constB75)))),
% 8.71/6.30 inference(tautology,[status(thm)],[])).
% 8.71/6.30 tff(16020,plain,
% 8.71/6.30 (v111(constB75)),
% 8.71/6.30 inference(unit_resolution,[status(thm)],[16019, 16018, 6345])).
% 8.71/6.30 tff(16021,plain,
% 8.71/6.30 ((v111(constB75) | v116(constB75)) | (~v111(constB75))),
% 8.71/6.30 inference(tautology,[status(thm)],[])).
% 8.71/6.30 tff(16022,plain,
% 8.71/6.30 (v111(constB75) | v116(constB75)),
% 8.71/6.30 inference(unit_resolution,[status(thm)],[16021, 16020])).
% 8.71/6.30 tff(16023,plain,
% 8.71/6.30 ((~(v110(constB75) <=> (v111(constB75) | v116(constB75)))) | v110(constB75) | (~(v111(constB75) | v116(constB75)))),
% 8.71/6.30 inference(tautology,[status(thm)],[])).
% 8.71/6.30 tff(16024,plain,
% 8.71/6.30 (v110(constB75)),
% 8.71/6.30 inference(unit_resolution,[status(thm)],[16023, 16022, 6343])).
% 8.71/6.30 tff(16025,plain,
% 8.71/6.30 ((v110(constB75) | v117(constB75)) | (~v110(constB75))),
% 8.71/6.30 inference(tautology,[status(thm)],[])).
% 8.71/6.30 tff(16026,plain,
% 8.71/6.30 (v110(constB75) | v117(constB75)),
% 8.71/6.30 inference(unit_resolution,[status(thm)],[16025, 16024])).
% 8.71/6.30 tff(16027,plain,
% 8.71/6.30 ((~(v109(constB75) <=> (v110(constB75) | v117(constB75)))) | v109(constB75) | (~(v110(constB75) | v117(constB75)))),
% 8.71/6.30 inference(tautology,[status(thm)],[])).
% 8.71/6.30 tff(16028,plain,
% 8.71/6.30 (v109(constB75)),
% 8.71/6.30 inference(unit_resolution,[status(thm)],[16027, 16026, 6341])).
% 8.71/6.30 tff(16029,plain,
% 8.71/6.30 ((v109(constB75) | v118(constB75)) | (~v109(constB75))),
% 8.71/6.30 inference(tautology,[status(thm)],[])).
% 8.71/6.30 tff(16030,plain,
% 8.71/6.30 (v109(constB75) | v118(constB75)),
% 8.71/6.30 inference(unit_resolution,[status(thm)],[16029, 16028])).
% 8.71/6.30 tff(16031,plain,
% 8.71/6.30 ((~(v108(constB75) <=> (v109(constB75) | v118(constB75)))) | v108(constB75) | (~(v109(constB75) | v118(constB75)))),
% 8.71/6.30 inference(tautology,[status(thm)],[])).
% 8.71/6.30 tff(16032,plain,
% 8.71/6.30 (v108(constB75)),
% 8.71/6.30 inference(unit_resolution,[status(thm)],[16031, 16030, 6339])).
% 8.71/6.30 tff(16033,plain,
% 8.71/6.30 ((v108(constB75) | v119(constB75)) | (~v108(constB75))),
% 8.71/6.30 inference(tautology,[status(thm)],[])).
% 8.71/6.30 tff(16034,plain,
% 8.71/6.30 (v108(constB75) | v119(constB75)),
% 8.71/6.30 inference(unit_resolution,[status(thm)],[16033, 16032])).
% 8.71/6.30 tff(16035,plain,
% 8.71/6.30 ((~(v107(constB75) <=> (v108(constB75) | v119(constB75)))) | v107(constB75) | (~(v108(constB75) | v119(constB75)))),
% 8.71/6.30 inference(tautology,[status(thm)],[])).
% 8.71/6.30 tff(16036,plain,
% 8.71/6.30 (v107(constB75)),
% 8.71/6.30 inference(unit_resolution,[status(thm)],[16035, 16034, 6337])).
% 8.71/6.30 tff(16037,plain,
% 8.71/6.30 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB75)) <=> v105(constB75))),
% 8.71/6.30 inference(quant_inst,[status(thm)],[])).
% 8.71/6.30 tff(16038,plain,
% 8.71/6.30 ((~v120(constB75)) <=> v105(constB75)),
% 8.71/6.30 inference(unit_resolution,[status(thm)],[16037, 9842])).
% 8.71/6.30 tff(16039,plain,
% 8.71/6.30 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB75) <=> v26(constB75))),
% 8.71/6.30 inference(quant_inst,[status(thm)],[])).
% 8.71/6.30 tff(16040,plain,
% 8.71/6.30 (v105(constB75) <=> v26(constB75)),
% 8.71/6.30 inference(unit_resolution,[status(thm)],[16039, 9854])).
% 8.71/6.30 tff(16041,plain,
% 8.71/6.30 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB75))),
% 8.71/6.30 inference(quant_inst,[status(thm)],[])).
% 8.71/6.30 tff(16042,plain,
% 8.71/6.30 (~v26(constB75)),
% 8.71/6.30 inference(unit_resolution,[status(thm)],[16041, 9866])).
% 8.71/6.30 tff(16043,plain,
% 8.71/6.30 ((~(v105(constB75) <=> v26(constB75))) | (~v105(constB75)) | v26(constB75)),
% 8.71/6.30 inference(tautology,[status(thm)],[])).
% 8.71/6.30 tff(16044,plain,
% 8.71/6.30 ((~(v105(constB75) <=> v26(constB75))) | (~v105(constB75))),
% 8.71/6.30 inference(unit_resolution,[status(thm)],[16043, 16042])).
% 8.71/6.30 tff(16045,plain,
% 8.71/6.30 (~v105(constB75)),
% 8.71/6.30 inference(unit_resolution,[status(thm)],[16044, 16040])).
% 8.71/6.30 tff(16046,plain,
% 8.71/6.30 ((~((~v120(constB75)) <=> v105(constB75))) | v120(constB75) | v105(constB75)),
% 8.71/6.30 inference(tautology,[status(thm)],[])).
% 8.71/6.30 tff(16047,plain,
% 8.71/6.30 ((~((~v120(constB75)) <=> v105(constB75))) | v120(constB75)),
% 8.71/6.30 inference(unit_resolution,[status(thm)],[16046, 16045])).
% 8.71/6.30 tff(16048,plain,
% 8.71/6.30 (v120(constB75)),
% 8.71/6.30 inference(unit_resolution,[status(thm)],[16047, 16038])).
% 8.71/6.30 tff(16049,plain,
% 8.71/6.30 ((~((~v107(constB75)) | (~v120(constB75)))) | (~v107(constB75)) | (~v120(constB75))),
% 8.71/6.30 inference(tautology,[status(thm)],[])).
% 8.71/6.30 tff(16050,plain,
% 8.71/6.30 ((~((~v107(constB75)) | (~v120(constB75)))) | (~v107(constB75))),
% 8.71/6.30 inference(unit_resolution,[status(thm)],[16049, 16048])).
% 8.71/6.30 tff(16051,plain,
% 8.71/6.30 (~((~v107(constB75)) | (~v120(constB75)))),
% 8.71/6.30 inference(unit_resolution,[status(thm)],[16050, 16036])).
% 8.71/6.30 tff(16052,plain,
% 8.71/6.30 ((~(v106(constB75) <=> (~((~v107(constB75)) | (~v120(constB75)))))) | v106(constB75) | ((~v107(constB75)) | (~v120(constB75)))),
% 8.71/6.30 inference(tautology,[status(thm)],[])).
% 8.71/6.30 tff(16053,plain,
% 8.71/6.30 (v106(constB75)),
% 8.71/6.30 inference(unit_resolution,[status(thm)],[16052, 16051, 6335])).
% 8.71/6.30 tff(16054,plain,
% 8.71/6.30 ((v105(constB75) | v106(constB75)) | (~v106(constB75))),
% 8.71/6.30 inference(tautology,[status(thm)],[])).
% 8.71/6.30 tff(16055,plain,
% 8.71/6.30 (v105(constB75) | v106(constB75)),
% 8.71/6.30 inference(unit_resolution,[status(thm)],[16054, 16053])).
% 8.71/6.30 tff(16056,plain,
% 8.71/6.30 ((~(v102(constB75) <=> (v105(constB75) | v106(constB75)))) | v102(constB75) | (~(v105(constB75) | v106(constB75)))),
% 8.71/6.30 inference(tautology,[status(thm)],[])).
% 8.71/6.30 tff(16057,plain,
% 8.71/6.30 (v102(constB75)),
% 8.71/6.30 inference(unit_resolution,[status(thm)],[16056, 16055, 6333])).
% 8.71/6.30 tff(16058,plain,
% 8.71/6.30 ((~(v104(constB76) <=> v102(constB75))) | v104(constB76) | (~v102(constB75))),
% 8.71/6.30 inference(tautology,[status(thm)],[])).
% 8.71/6.30 tff(16059,plain,
% 8.71/6.30 (v104(constB76)),
% 8.71/6.30 inference(unit_resolution,[status(thm)],[16058, 16057, 6331])).
% 8.71/6.30 tff(16060,plain,
% 8.71/6.30 ((~((~v104(constB76)) | (~v95(constB76)))) | (~v104(constB76)) | (~v95(constB76))),
% 8.71/6.30 inference(tautology,[status(thm)],[])).
% 8.71/6.30 tff(16061,plain,
% 8.71/6.30 (~((~v104(constB76)) | (~v95(constB76)))),
% 8.71/6.30 inference(unit_resolution,[status(thm)],[16060, 16059, 6327])).
% 8.71/6.30 tff(16062,plain,
% 8.71/6.30 ((~(v94(constB76) <=> (~((~v104(constB76)) | (~v95(constB76)))))) | v94(constB76) | ((~v104(constB76)) | (~v95(constB76)))),
% 8.71/6.30 inference(tautology,[status(thm)],[])).
% 8.71/6.30 tff(16063,plain,
% 8.71/6.30 (v94(constB76)),
% 8.71/6.30 inference(unit_resolution,[status(thm)],[16062, 16061, 6296])).
% 8.71/6.30 tff(16064,plain,
% 8.71/6.30 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB76)) | ![B: $i] : ((~less_3(B)) | (v84(constB76, B) <=> v123(constB76, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB76)) | ![B: $i] : ((~less_3(B)) | (v84(constB76, B) <=> v123(constB76, B))))),
% 8.71/6.30 inference(rewrite,[status(thm)],[])).
% 8.71/6.30 tff(16065,plain,
% 8.71/6.30 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB76)) | ![B: $i] : ((~less_3(B)) | (v84(constB76, B) <=> v123(constB76, B))))),
% 8.71/6.30 inference(quant_inst,[status(thm)],[])).
% 8.71/6.30 tff(16066,plain,
% 8.71/6.30 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB76)) | ![B: $i] : ((~less_3(B)) | (v84(constB76, B) <=> v123(constB76, B)))),
% 8.71/6.30 inference(modus_ponens,[status(thm)],[16065, 16064])).
% 8.71/6.30 tff(16067,plain,
% 8.71/6.30 ((~v94(constB76)) | ![B: $i] : ((~less_3(B)) | (v84(constB76, B) <=> v123(constB76, B)))),
% 8.71/6.30 inference(unit_resolution,[status(thm)],[16066, 9902])).
% 8.71/6.30 tff(16068,plain,
% 8.71/6.30 (![B: $i] : ((~less_3(B)) | (v84(constB76, B) <=> v123(constB76, B)))),
% 8.71/6.30 inference(unit_resolution,[status(thm)],[16067, 16063])).
% 8.71/6.30 tff(16069,plain,
% 8.71/6.30 (((~![B: $i] : ((~less_3(B)) | (v84(constB76, B) <=> v123(constB76, B)))) | ((~less_3(bitIndex2)) | (v84(constB76, bitIndex2) <=> v123(constB76, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB76, B) <=> v123(constB76, B)))) | (~less_3(bitIndex2)) | (v84(constB76, bitIndex2) <=> v123(constB76, bitIndex2)))),
% 8.71/6.30 inference(rewrite,[status(thm)],[])).
% 8.71/6.30 tff(16070,plain,
% 8.71/6.30 ((~![B: $i] : ((~less_3(B)) | (v84(constB76, B) <=> v123(constB76, B)))) | ((~less_3(bitIndex2)) | (v84(constB76, bitIndex2) <=> v123(constB76, bitIndex2)))),
% 8.71/6.30 inference(quant_inst,[status(thm)],[])).
% 8.71/6.30 tff(16071,plain,
% 8.71/6.30 ((~![B: $i] : ((~less_3(B)) | (v84(constB76, B) <=> v123(constB76, B)))) | (~less_3(bitIndex2)) | (v84(constB76, bitIndex2) <=> v123(constB76, bitIndex2))),
% 8.71/6.30 inference(modus_ponens,[status(thm)],[16070, 16069])).
% 8.71/6.30 tff(16072,plain,
% 8.71/6.30 (v84(constB76, bitIndex2) <=> v123(constB76, bitIndex2)),
% 8.71/6.30 inference(unit_resolution,[status(thm)],[16071, 832, 16068])).
% 8.71/6.30 tff(16073,plain,
% 8.71/6.30 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB75, constB76)) | ![B: $i] : ((~less_3(B)) | (v123(constB76, B) <=> v121(constB75, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB75, constB76)) | ![B: $i] : ((~less_3(B)) | (v123(constB76, B) <=> v121(constB75, B))))),
% 8.71/6.30 inference(rewrite,[status(thm)],[])).
% 8.71/6.30 tff(16074,plain,
% 8.71/6.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB75, constB76)) | ![B: $i] : ((~less_3(B)) | (v123(constB76, B) <=> v121(constB75, B))))),
% 8.71/6.30 inference(quant_inst,[status(thm)],[])).
% 8.71/6.30 tff(16075,plain,
% 8.71/6.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB75, constB76)) | ![B: $i] : ((~less_3(B)) | (v123(constB76, B) <=> v121(constB75, B)))),
% 8.71/6.30 inference(modus_ponens,[status(thm)],[16074, 16073])).
% 8.71/6.30 tff(16076,plain,
% 8.71/6.30 (![B: $i] : ((~less_3(B)) | (v123(constB76, B) <=> v121(constB75, B)))),
% 8.71/6.30 inference(unit_resolution,[status(thm)],[16075, 6292, 9924])).
% 8.71/6.30 tff(16077,plain,
% 8.71/6.30 (((~![B: $i] : ((~less_3(B)) | (v123(constB76, B) <=> v121(constB75, B)))) | ((~less_3(bitIndex2)) | (v123(constB76, bitIndex2) <=> v121(constB75, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB76, B) <=> v121(constB75, B)))) | (~less_3(bitIndex2)) | (v123(constB76, bitIndex2) <=> v121(constB75, bitIndex2)))),
% 8.71/6.30 inference(rewrite,[status(thm)],[])).
% 8.71/6.30 tff(16078,plain,
% 8.71/6.30 ((~![B: $i] : ((~less_3(B)) | (v123(constB76, B) <=> v121(constB75, B)))) | ((~less_3(bitIndex2)) | (v123(constB76, bitIndex2) <=> v121(constB75, bitIndex2)))),
% 8.71/6.30 inference(quant_inst,[status(thm)],[])).
% 8.71/6.30 tff(16079,plain,
% 8.71/6.30 ((~![B: $i] : ((~less_3(B)) | (v123(constB76, B) <=> v121(constB75, B)))) | (~less_3(bitIndex2)) | (v123(constB76, bitIndex2) <=> v121(constB75, bitIndex2))),
% 8.71/6.30 inference(modus_ponens,[status(thm)],[16078, 16077])).
% 8.71/6.30 tff(16080,plain,
% 8.71/6.30 (v123(constB76, bitIndex2) <=> v121(constB75, bitIndex2)),
% 8.71/6.30 inference(unit_resolution,[status(thm)],[16079, 832, 16076])).
% 8.71/6.30 tff(16081,plain,
% 8.71/6.30 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB75) | ![B: $i] : ((~less_3(B)) | (v121(constB75, B) <=> v124(constB75, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB75) | ![B: $i] : ((~less_3(B)) | (v121(constB75, B) <=> v124(constB75, B))))),
% 8.71/6.30 inference(rewrite,[status(thm)],[])).
% 8.71/6.30 tff(16082,plain,
% 8.71/6.30 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB75) | ![B: $i] : ((~less_3(B)) | (v121(constB75, B) <=> v124(constB75, B))))),
% 8.71/6.30 inference(quant_inst,[status(thm)],[])).
% 8.71/6.30 tff(16083,plain,
% 8.71/6.30 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB75) | ![B: $i] : ((~less_3(B)) | (v121(constB75, B) <=> v124(constB75, B)))),
% 8.71/6.30 inference(modus_ponens,[status(thm)],[16082, 16081])).
% 8.71/6.30 tff(16084,plain,
% 8.71/6.30 (![B: $i] : ((~less_3(B)) | (v121(constB75, B) <=> v124(constB75, B)))),
% 8.71/6.30 inference(unit_resolution,[status(thm)],[16083, 9945, 16045])).
% 8.71/6.30 tff(16085,plain,
% 8.71/6.30 (((~![B: $i] : ((~less_3(B)) | (v121(constB75, B) <=> v124(constB75, B)))) | ((~less_3(bitIndex2)) | (v121(constB75, bitIndex2) <=> v124(constB75, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB75, B) <=> v124(constB75, B)))) | (~less_3(bitIndex2)) | (v121(constB75, bitIndex2) <=> v124(constB75, bitIndex2)))),
% 8.71/6.30 inference(rewrite,[status(thm)],[])).
% 8.71/6.30 tff(16086,plain,
% 8.71/6.30 ((~![B: $i] : ((~less_3(B)) | (v121(constB75, B) <=> v124(constB75, B)))) | ((~less_3(bitIndex2)) | (v121(constB75, bitIndex2) <=> v124(constB75, bitIndex2)))),
% 8.71/6.30 inference(quant_inst,[status(thm)],[])).
% 8.71/6.30 tff(16087,plain,
% 8.71/6.30 ((~![B: $i] : ((~less_3(B)) | (v121(constB75, B) <=> v124(constB75, B)))) | (~less_3(bitIndex2)) | (v121(constB75, bitIndex2) <=> v124(constB75, bitIndex2))),
% 8.71/6.30 inference(modus_ponens,[status(thm)],[16086, 16085])).
% 8.71/6.30 tff(16088,plain,
% 8.71/6.30 (v121(constB75, bitIndex2) <=> v124(constB75, bitIndex2)),
% 8.71/6.30 inference(unit_resolution,[status(thm)],[16087, 832, 16084])).
% 8.71/6.30 tff(16089,plain,
% 8.71/6.30 (((~![VarCurr: $i] : ((~v114(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b010(B))))) | ((~v114(constB75)) | ![B: $i] : ((~less_3(B)) | (v124(constB75, B) <=> b010(B))))) <=> ((~![VarCurr: $i] : ((~v114(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b010(B))))) | (~v114(constB75)) | ![B: $i] : ((~less_3(B)) | (v124(constB75, B) <=> b010(B))))),
% 8.71/6.30 inference(rewrite,[status(thm)],[])).
% 8.71/6.30 tff(16090,plain,
% 8.71/6.30 ((~![VarCurr: $i] : ((~v114(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b010(B))))) | ((~v114(constB75)) | ![B: $i] : ((~less_3(B)) | (v124(constB75, B) <=> b010(B))))),
% 8.71/6.30 inference(quant_inst,[status(thm)],[])).
% 8.71/6.30 tff(16091,plain,
% 8.71/6.30 ((~![VarCurr: $i] : ((~v114(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b010(B))))) | (~v114(constB75)) | ![B: $i] : ((~less_3(B)) | (v124(constB75, B) <=> b010(B)))),
% 8.71/6.30 inference(modus_ponens,[status(thm)],[16090, 16089])).
% 8.71/6.30 tff(16092,plain,
% 8.71/6.30 ((~v114(constB75)) | ![B: $i] : ((~less_3(B)) | (v124(constB75, B) <=> b010(B)))),
% 8.71/6.30 inference(unit_resolution,[status(thm)],[16091, 10149])).
% 8.71/6.30 tff(16093,plain,
% 8.71/6.30 (![B: $i] : ((~less_3(B)) | (v124(constB75, B) <=> b010(B)))),
% 8.71/6.30 inference(unit_resolution,[status(thm)],[16092, 16012])).
% 8.71/6.30 tff(16094,plain,
% 8.71/6.30 (((~![B: $i] : ((~less_3(B)) | (v124(constB75, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v124(constB75, bitIndex2) <=> b010(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB75, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v124(constB75, bitIndex2) <=> b010(bitIndex2)))),
% 8.71/6.30 inference(rewrite,[status(thm)],[])).
% 8.71/6.30 tff(16095,plain,
% 8.71/6.30 ((~![B: $i] : ((~less_3(B)) | (v124(constB75, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v124(constB75, bitIndex2) <=> b010(bitIndex2)))),
% 8.71/6.30 inference(quant_inst,[status(thm)],[])).
% 8.71/6.30 tff(16096,plain,
% 8.71/6.30 ((~![B: $i] : ((~less_3(B)) | (v124(constB75, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v124(constB75, bitIndex2) <=> b010(bitIndex2))),
% 8.71/6.30 inference(modus_ponens,[status(thm)],[16095, 16094])).
% 8.71/6.30 tff(16097,plain,
% 8.71/6.30 (v124(constB75, bitIndex2) <=> b010(bitIndex2)),
% 8.71/6.30 inference(unit_resolution,[status(thm)],[16096, 832, 16093])).
% 8.71/6.30 tff(16098,plain,
% 8.71/6.30 ((~(v124(constB75, bitIndex2) <=> b010(bitIndex2))) | (~v124(constB75, bitIndex2)) | b010(bitIndex2)),
% 8.71/6.30 inference(tautology,[status(thm)],[])).
% 8.71/6.30 tff(16099,plain,
% 8.71/6.30 ((~(v124(constB75, bitIndex2) <=> b010(bitIndex2))) | (~v124(constB75, bitIndex2))),
% 8.71/6.30 inference(unit_resolution,[status(thm)],[16098, 10161])).
% 8.71/6.30 tff(16100,plain,
% 8.71/6.30 (~v124(constB75, bitIndex2)),
% 8.71/6.30 inference(unit_resolution,[status(thm)],[16099, 16097])).
% 8.71/6.30 tff(16101,plain,
% 8.71/6.30 ((~(v121(constB75, bitIndex2) <=> v124(constB75, bitIndex2))) | (~v121(constB75, bitIndex2)) | v124(constB75, bitIndex2)),
% 8.71/6.30 inference(tautology,[status(thm)],[])).
% 8.71/6.30 tff(16102,plain,
% 8.71/6.30 (~v121(constB75, bitIndex2)),
% 8.71/6.30 inference(unit_resolution,[status(thm)],[16101, 16100, 16088])).
% 8.71/6.30 tff(16103,plain,
% 8.71/6.30 ((~(v123(constB76, bitIndex2) <=> v121(constB75, bitIndex2))) | (~v123(constB76, bitIndex2)) | v121(constB75, bitIndex2)),
% 8.71/6.30 inference(tautology,[status(thm)],[])).
% 8.71/6.30 tff(16104,plain,
% 8.71/6.30 (~v123(constB76, bitIndex2)),
% 8.71/6.30 inference(unit_resolution,[status(thm)],[16103, 16102, 16080])).
% 8.71/6.30 tff(16105,plain,
% 8.71/6.30 ((~(v84(constB76, bitIndex2) <=> v123(constB76, bitIndex2))) | (~v84(constB76, bitIndex2)) | v123(constB76, bitIndex2)),
% 8.71/6.30 inference(tautology,[status(thm)],[])).
% 8.71/6.30 tff(16106,plain,
% 8.71/6.30 (~v84(constB76, bitIndex2)),
% 8.71/6.30 inference(unit_resolution,[status(thm)],[16105, 16104, 16072])).
% 8.71/6.30 tff(16107,plain,
% 8.71/6.30 ((~(v84(constB77, bitIndex2) <=> v84(constB76, bitIndex2))) | (~v84(constB77, bitIndex2)) | v84(constB76, bitIndex2)),
% 8.71/6.30 inference(tautology,[status(thm)],[])).
% 8.71/6.30 tff(16108,plain,
% 8.71/6.30 (~v84(constB77, bitIndex2)),
% 8.71/6.30 inference(unit_resolution,[status(thm)],[16107, 16106, 6289])).
% 8.71/6.30 tff(16109,plain,
% 8.71/6.30 (((~![B: $i] : ((~less_3(B)) | (v84(constB77, B) <=> v84(constB76, B)))) | ((~less_3(bitIndex0)) | (v84(constB77, bitIndex0) <=> v84(constB76, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB77, B) <=> v84(constB76, B)))) | (~less_3(bitIndex0)) | (v84(constB77, bitIndex0) <=> v84(constB76, bitIndex0)))),
% 8.71/6.30 inference(rewrite,[status(thm)],[])).
% 8.71/6.30 tff(16110,plain,
% 8.71/6.30 ((~![B: $i] : ((~less_3(B)) | (v84(constB77, B) <=> v84(constB76, B)))) | ((~less_3(bitIndex0)) | (v84(constB77, bitIndex0) <=> v84(constB76, bitIndex0)))),
% 8.71/6.30 inference(quant_inst,[status(thm)],[])).
% 8.71/6.30 tff(16111,plain,
% 8.71/6.30 ((~![B: $i] : ((~less_3(B)) | (v84(constB77, B) <=> v84(constB76, B)))) | (~less_3(bitIndex0)) | (v84(constB77, bitIndex0) <=> v84(constB76, bitIndex0))),
% 8.71/6.30 inference(modus_ponens,[status(thm)],[16110, 16109])).
% 8.71/6.30 tff(16112,plain,
% 8.71/6.30 (v84(constB77, bitIndex0) <=> v84(constB76, bitIndex0)),
% 8.71/6.30 inference(unit_resolution,[status(thm)],[16111, 9772, 6285])).
% 8.71/6.30 tff(16113,plain,
% 8.71/6.30 (((~![B: $i] : ((~less_3(B)) | (v84(constB76, B) <=> v123(constB76, B)))) | ((~less_3(bitIndex0)) | (v84(constB76, bitIndex0) <=> v123(constB76, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB76, B) <=> v123(constB76, B)))) | (~less_3(bitIndex0)) | (v84(constB76, bitIndex0) <=> v123(constB76, bitIndex0)))),
% 8.71/6.30 inference(rewrite,[status(thm)],[])).
% 8.71/6.30 tff(16114,plain,
% 8.71/6.30 ((~![B: $i] : ((~less_3(B)) | (v84(constB76, B) <=> v123(constB76, B)))) | ((~less_3(bitIndex0)) | (v84(constB76, bitIndex0) <=> v123(constB76, bitIndex0)))),
% 8.71/6.30 inference(quant_inst,[status(thm)],[])).
% 8.71/6.30 tff(16115,plain,
% 8.71/6.30 ((~![B: $i] : ((~less_3(B)) | (v84(constB76, B) <=> v123(constB76, B)))) | (~less_3(bitIndex0)) | (v84(constB76, bitIndex0) <=> v123(constB76, bitIndex0))),
% 8.71/6.30 inference(modus_ponens,[status(thm)],[16114, 16113])).
% 8.71/6.30 tff(16116,plain,
% 8.71/6.30 (v84(constB76, bitIndex0) <=> v123(constB76, bitIndex0)),
% 8.71/6.30 inference(unit_resolution,[status(thm)],[16115, 9772, 16068])).
% 8.71/6.30 tff(16117,plain,
% 8.71/6.30 (((~![B: $i] : ((~less_3(B)) | (v123(constB76, B) <=> v121(constB75, B)))) | ((~less_3(bitIndex0)) | (v123(constB76, bitIndex0) <=> v121(constB75, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB76, B) <=> v121(constB75, B)))) | (~less_3(bitIndex0)) | (v123(constB76, bitIndex0) <=> v121(constB75, bitIndex0)))),
% 8.71/6.30 inference(rewrite,[status(thm)],[])).
% 8.71/6.30 tff(16118,plain,
% 8.71/6.30 ((~![B: $i] : ((~less_3(B)) | (v123(constB76, B) <=> v121(constB75, B)))) | ((~less_3(bitIndex0)) | (v123(constB76, bitIndex0) <=> v121(constB75, bitIndex0)))),
% 8.71/6.30 inference(quant_inst,[status(thm)],[])).
% 8.71/6.30 tff(16119,plain,
% 8.71/6.30 ((~![B: $i] : ((~less_3(B)) | (v123(constB76, B) <=> v121(constB75, B)))) | (~less_3(bitIndex0)) | (v123(constB76, bitIndex0) <=> v121(constB75, bitIndex0))),
% 8.71/6.31 inference(modus_ponens,[status(thm)],[16118, 16117])).
% 8.71/6.31 tff(16120,plain,
% 8.71/6.31 (v123(constB76, bitIndex0) <=> v121(constB75, bitIndex0)),
% 8.71/6.31 inference(unit_resolution,[status(thm)],[16119, 9772, 16076])).
% 8.71/6.31 tff(16121,plain,
% 8.71/6.31 (((~![B: $i] : ((~less_3(B)) | (v121(constB75, B) <=> v124(constB75, B)))) | ((~less_3(bitIndex0)) | (v121(constB75, bitIndex0) <=> v124(constB75, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB75, B) <=> v124(constB75, B)))) | (~less_3(bitIndex0)) | (v121(constB75, bitIndex0) <=> v124(constB75, bitIndex0)))),
% 8.71/6.31 inference(rewrite,[status(thm)],[])).
% 8.71/6.31 tff(16122,plain,
% 8.71/6.31 ((~![B: $i] : ((~less_3(B)) | (v121(constB75, B) <=> v124(constB75, B)))) | ((~less_3(bitIndex0)) | (v121(constB75, bitIndex0) <=> v124(constB75, bitIndex0)))),
% 8.71/6.31 inference(quant_inst,[status(thm)],[])).
% 8.71/6.31 tff(16123,plain,
% 8.71/6.31 ((~![B: $i] : ((~less_3(B)) | (v121(constB75, B) <=> v124(constB75, B)))) | (~less_3(bitIndex0)) | (v121(constB75, bitIndex0) <=> v124(constB75, bitIndex0))),
% 8.71/6.31 inference(modus_ponens,[status(thm)],[16122, 16121])).
% 8.71/6.31 tff(16124,plain,
% 8.71/6.31 (v121(constB75, bitIndex0) <=> v124(constB75, bitIndex0)),
% 8.71/6.31 inference(unit_resolution,[status(thm)],[16123, 9772, 16084])).
% 8.71/6.31 tff(16125,plain,
% 8.71/6.31 (((~![B: $i] : ((~less_3(B)) | (v124(constB75, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v124(constB75, bitIndex0) <=> b010(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB75, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v124(constB75, bitIndex0) <=> b010(bitIndex0)))),
% 8.71/6.31 inference(rewrite,[status(thm)],[])).
% 8.71/6.31 tff(16126,plain,
% 8.71/6.31 ((~![B: $i] : ((~less_3(B)) | (v124(constB75, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v124(constB75, bitIndex0) <=> b010(bitIndex0)))),
% 8.71/6.31 inference(quant_inst,[status(thm)],[])).
% 8.71/6.31 tff(16127,plain,
% 8.71/6.31 ((~![B: $i] : ((~less_3(B)) | (v124(constB75, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v124(constB75, bitIndex0) <=> b010(bitIndex0))),
% 8.71/6.31 inference(modus_ponens,[status(thm)],[16126, 16125])).
% 8.71/6.31 tff(16128,plain,
% 8.71/6.31 (v124(constB75, bitIndex0) <=> b010(bitIndex0)),
% 8.71/6.31 inference(unit_resolution,[status(thm)],[16127, 9772, 16093])).
% 8.71/6.31 tff(16129,plain,
% 8.71/6.31 ((~(v124(constB75, bitIndex0) <=> b010(bitIndex0))) | (~v124(constB75, bitIndex0)) | b010(bitIndex0)),
% 8.71/6.31 inference(tautology,[status(thm)],[])).
% 8.71/6.31 tff(16130,plain,
% 8.71/6.31 ((~(v124(constB75, bitIndex0) <=> b010(bitIndex0))) | (~v124(constB75, bitIndex0))),
% 8.71/6.31 inference(unit_resolution,[status(thm)],[16129, 10195])).
% 8.71/6.31 tff(16131,plain,
% 8.71/6.31 (~v124(constB75, bitIndex0)),
% 8.71/6.31 inference(unit_resolution,[status(thm)],[16130, 16128])).
% 8.71/6.31 tff(16132,plain,
% 8.71/6.31 ((~(v121(constB75, bitIndex0) <=> v124(constB75, bitIndex0))) | (~v121(constB75, bitIndex0)) | v124(constB75, bitIndex0)),
% 8.71/6.31 inference(tautology,[status(thm)],[])).
% 8.71/6.31 tff(16133,plain,
% 8.71/6.31 (~v121(constB75, bitIndex0)),
% 8.71/6.31 inference(unit_resolution,[status(thm)],[16132, 16131, 16124])).
% 8.71/6.31 tff(16134,plain,
% 8.71/6.31 ((~(v123(constB76, bitIndex0) <=> v121(constB75, bitIndex0))) | (~v123(constB76, bitIndex0)) | v121(constB75, bitIndex0)),
% 8.71/6.31 inference(tautology,[status(thm)],[])).
% 8.71/6.31 tff(16135,plain,
% 8.71/6.31 (~v123(constB76, bitIndex0)),
% 8.71/6.31 inference(unit_resolution,[status(thm)],[16134, 16133, 16120])).
% 8.71/6.31 tff(16136,plain,
% 8.71/6.31 ((~(v84(constB76, bitIndex0) <=> v123(constB76, bitIndex0))) | (~v84(constB76, bitIndex0)) | v123(constB76, bitIndex0)),
% 8.71/6.31 inference(tautology,[status(thm)],[])).
% 8.71/6.31 tff(16137,plain,
% 8.71/6.31 (~v84(constB76, bitIndex0)),
% 8.71/6.31 inference(unit_resolution,[status(thm)],[16136, 16135, 16116])).
% 8.71/6.31 tff(16138,plain,
% 8.71/6.31 ((~(v84(constB77, bitIndex0) <=> v84(constB76, bitIndex0))) | (~v84(constB77, bitIndex0)) | v84(constB76, bitIndex0)),
% 8.71/6.31 inference(tautology,[status(thm)],[])).
% 8.71/6.31 tff(16139,plain,
% 8.71/6.31 (~v84(constB77, bitIndex0)),
% 8.71/6.31 inference(unit_resolution,[status(thm)],[16138, 16137, 16112])).
% 8.71/6.31 tff(16140,plain,
% 8.71/6.31 (((~![B: $i] : ((~less_3(B)) | (v84(constB77, B) <=> v84(constB76, B)))) | ((~less_3(bitIndex1)) | (v84(constB77, bitIndex1) <=> v84(constB76, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB77, B) <=> v84(constB76, B)))) | (~less_3(bitIndex1)) | (v84(constB77, bitIndex1) <=> v84(constB76, bitIndex1)))),
% 8.71/6.31 inference(rewrite,[status(thm)],[])).
% 8.71/6.31 tff(16141,plain,
% 8.71/6.31 ((~![B: $i] : ((~less_3(B)) | (v84(constB77, B) <=> v84(constB76, B)))) | ((~less_3(bitIndex1)) | (v84(constB77, bitIndex1) <=> v84(constB76, bitIndex1)))),
% 8.71/6.31 inference(quant_inst,[status(thm)],[])).
% 8.71/6.31 tff(16142,plain,
% 8.71/6.31 ((~![B: $i] : ((~less_3(B)) | (v84(constB77, B) <=> v84(constB76, B)))) | (~less_3(bitIndex1)) | (v84(constB77, bitIndex1) <=> v84(constB76, bitIndex1))),
% 8.71/6.31 inference(modus_ponens,[status(thm)],[16141, 16140])).
% 8.71/6.31 tff(16143,plain,
% 8.71/6.31 (v84(constB77, bitIndex1) <=> v84(constB76, bitIndex1)),
% 8.71/6.31 inference(unit_resolution,[status(thm)],[16142, 9785, 6285])).
% 8.71/6.31 tff(16144,plain,
% 8.71/6.31 (((~![B: $i] : ((~less_3(B)) | (v84(constB76, B) <=> v123(constB76, B)))) | ((~less_3(bitIndex1)) | (v84(constB76, bitIndex1) <=> v123(constB76, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB76, B) <=> v123(constB76, B)))) | (~less_3(bitIndex1)) | (v84(constB76, bitIndex1) <=> v123(constB76, bitIndex1)))),
% 8.71/6.31 inference(rewrite,[status(thm)],[])).
% 8.71/6.31 tff(16145,plain,
% 8.71/6.31 ((~![B: $i] : ((~less_3(B)) | (v84(constB76, B) <=> v123(constB76, B)))) | ((~less_3(bitIndex1)) | (v84(constB76, bitIndex1) <=> v123(constB76, bitIndex1)))),
% 8.71/6.31 inference(quant_inst,[status(thm)],[])).
% 8.71/6.31 tff(16146,plain,
% 8.71/6.31 ((~![B: $i] : ((~less_3(B)) | (v84(constB76, B) <=> v123(constB76, B)))) | (~less_3(bitIndex1)) | (v84(constB76, bitIndex1) <=> v123(constB76, bitIndex1))),
% 8.71/6.31 inference(modus_ponens,[status(thm)],[16145, 16144])).
% 8.71/6.31 tff(16147,plain,
% 8.71/6.31 (v84(constB76, bitIndex1) <=> v123(constB76, bitIndex1)),
% 8.71/6.31 inference(unit_resolution,[status(thm)],[16146, 9785, 16068])).
% 8.71/6.31 tff(16148,plain,
% 8.71/6.31 (((~![B: $i] : ((~less_3(B)) | (v123(constB76, B) <=> v121(constB75, B)))) | ((~less_3(bitIndex1)) | (v123(constB76, bitIndex1) <=> v121(constB75, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB76, B) <=> v121(constB75, B)))) | (~less_3(bitIndex1)) | (v123(constB76, bitIndex1) <=> v121(constB75, bitIndex1)))),
% 8.71/6.31 inference(rewrite,[status(thm)],[])).
% 8.71/6.31 tff(16149,plain,
% 8.71/6.31 ((~![B: $i] : ((~less_3(B)) | (v123(constB76, B) <=> v121(constB75, B)))) | ((~less_3(bitIndex1)) | (v123(constB76, bitIndex1) <=> v121(constB75, bitIndex1)))),
% 8.71/6.31 inference(quant_inst,[status(thm)],[])).
% 8.71/6.31 tff(16150,plain,
% 8.71/6.31 ((~![B: $i] : ((~less_3(B)) | (v123(constB76, B) <=> v121(constB75, B)))) | (~less_3(bitIndex1)) | (v123(constB76, bitIndex1) <=> v121(constB75, bitIndex1))),
% 8.71/6.31 inference(modus_ponens,[status(thm)],[16149, 16148])).
% 8.71/6.31 tff(16151,plain,
% 8.71/6.31 (v123(constB76, bitIndex1) <=> v121(constB75, bitIndex1)),
% 8.71/6.31 inference(unit_resolution,[status(thm)],[16150, 9785, 16076])).
% 8.71/6.31 tff(16152,plain,
% 8.71/6.31 (((~![B: $i] : ((~less_3(B)) | (v121(constB75, B) <=> v124(constB75, B)))) | ((~less_3(bitIndex1)) | (v121(constB75, bitIndex1) <=> v124(constB75, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB75, B) <=> v124(constB75, B)))) | (~less_3(bitIndex1)) | (v121(constB75, bitIndex1) <=> v124(constB75, bitIndex1)))),
% 8.71/6.31 inference(rewrite,[status(thm)],[])).
% 8.71/6.31 tff(16153,plain,
% 8.71/6.31 ((~![B: $i] : ((~less_3(B)) | (v121(constB75, B) <=> v124(constB75, B)))) | ((~less_3(bitIndex1)) | (v121(constB75, bitIndex1) <=> v124(constB75, bitIndex1)))),
% 8.71/6.31 inference(quant_inst,[status(thm)],[])).
% 8.71/6.31 tff(16154,plain,
% 8.71/6.31 ((~![B: $i] : ((~less_3(B)) | (v121(constB75, B) <=> v124(constB75, B)))) | (~less_3(bitIndex1)) | (v121(constB75, bitIndex1) <=> v124(constB75, bitIndex1))),
% 8.71/6.31 inference(modus_ponens,[status(thm)],[16153, 16152])).
% 8.71/6.31 tff(16155,plain,
% 8.71/6.31 (v121(constB75, bitIndex1) <=> v124(constB75, bitIndex1)),
% 8.71/6.31 inference(unit_resolution,[status(thm)],[16154, 9785, 16084])).
% 8.71/6.31 tff(16156,plain,
% 8.71/6.31 (((~![B: $i] : ((~less_3(B)) | (v124(constB75, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v124(constB75, bitIndex1) <=> b010(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB75, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v124(constB75, bitIndex1) <=> b010(bitIndex1)))),
% 8.71/6.31 inference(rewrite,[status(thm)],[])).
% 8.71/6.31 tff(16157,plain,
% 8.71/6.31 ((~![B: $i] : ((~less_3(B)) | (v124(constB75, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v124(constB75, bitIndex1) <=> b010(bitIndex1)))),
% 8.71/6.31 inference(quant_inst,[status(thm)],[])).
% 8.71/6.31 tff(16158,plain,
% 8.71/6.31 ((~![B: $i] : ((~less_3(B)) | (v124(constB75, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v124(constB75, bitIndex1) <=> b010(bitIndex1))),
% 8.71/6.31 inference(modus_ponens,[status(thm)],[16157, 16156])).
% 8.71/6.31 tff(16159,plain,
% 8.71/6.31 (v124(constB75, bitIndex1) <=> b010(bitIndex1)),
% 8.71/6.31 inference(unit_resolution,[status(thm)],[16158, 9785, 16093])).
% 8.71/6.31 tff(16160,plain,
% 8.71/6.31 ((~(v124(constB75, bitIndex1) <=> b010(bitIndex1))) | v124(constB75, bitIndex1) | (~b010(bitIndex1))),
% 8.71/6.31 inference(tautology,[status(thm)],[])).
% 8.71/6.31 tff(16161,plain,
% 8.71/6.31 ((~(v124(constB75, bitIndex1) <=> b010(bitIndex1))) | v124(constB75, bitIndex1)),
% 8.71/6.31 inference(unit_resolution,[status(thm)],[16160, 10229])).
% 8.71/6.31 tff(16162,plain,
% 8.71/6.31 (v124(constB75, bitIndex1)),
% 8.71/6.31 inference(unit_resolution,[status(thm)],[16161, 16159])).
% 8.71/6.31 tff(16163,plain,
% 8.71/6.31 ((~(v121(constB75, bitIndex1) <=> v124(constB75, bitIndex1))) | v121(constB75, bitIndex1) | (~v124(constB75, bitIndex1))),
% 8.71/6.31 inference(tautology,[status(thm)],[])).
% 8.71/6.31 tff(16164,plain,
% 8.71/6.31 (v121(constB75, bitIndex1)),
% 8.71/6.31 inference(unit_resolution,[status(thm)],[16163, 16162, 16155])).
% 8.71/6.31 tff(16165,plain,
% 8.71/6.31 ((~(v123(constB76, bitIndex1) <=> v121(constB75, bitIndex1))) | v123(constB76, bitIndex1) | (~v121(constB75, bitIndex1))),
% 8.71/6.31 inference(tautology,[status(thm)],[])).
% 8.71/6.31 tff(16166,plain,
% 8.71/6.31 (v123(constB76, bitIndex1)),
% 8.71/6.31 inference(unit_resolution,[status(thm)],[16165, 16164, 16151])).
% 8.71/6.31 tff(16167,plain,
% 8.71/6.31 ((~(v84(constB76, bitIndex1) <=> v123(constB76, bitIndex1))) | v84(constB76, bitIndex1) | (~v123(constB76, bitIndex1))),
% 8.71/6.31 inference(tautology,[status(thm)],[])).
% 8.71/6.31 tff(16168,plain,
% 8.71/6.31 (v84(constB76, bitIndex1)),
% 8.71/6.31 inference(unit_resolution,[status(thm)],[16167, 16166, 16147])).
% 8.71/6.31 tff(16169,plain,
% 8.71/6.31 ((~(v84(constB77, bitIndex1) <=> v84(constB76, bitIndex1))) | v84(constB77, bitIndex1) | (~v84(constB76, bitIndex1))),
% 8.71/6.31 inference(tautology,[status(thm)],[])).
% 8.71/6.31 tff(16170,plain,
% 8.71/6.31 (v84(constB77, bitIndex1)),
% 8.71/6.31 inference(unit_resolution,[status(thm)],[16169, 16168, 16143])).
% 8.71/6.31 tff(16171,plain,
% 8.71/6.31 ((~(v84(constB77, bitIndex2) | (~v84(constB77, bitIndex1)) | v84(constB77, bitIndex0))) | v84(constB77, bitIndex2) | (~v84(constB77, bitIndex1)) | v84(constB77, bitIndex0)),
% 8.71/6.31 inference(tautology,[status(thm)],[])).
% 8.71/6.31 tff(16172,plain,
% 8.71/6.31 (~(v84(constB77, bitIndex2) | (~v84(constB77, bitIndex1)) | v84(constB77, bitIndex0))),
% 8.71/6.31 inference(unit_resolution,[status(thm)],[16171, 16170, 16139, 16108])).
% 8.71/6.31 tff(16173,plain,
% 8.71/6.31 ((~(v115(constB77) <=> (~(v84(constB77, bitIndex2) | (~v84(constB77, bitIndex1)) | v84(constB77, bitIndex0))))) | v115(constB77) | (v84(constB77, bitIndex2) | (~v84(constB77, bitIndex1)) | v84(constB77, bitIndex0))),
% 8.71/6.31 inference(tautology,[status(thm)],[])).
% 8.71/6.31 tff(16174,plain,
% 8.71/6.31 (v115(constB77)),
% 8.71/6.31 inference(unit_resolution,[status(thm)],[16173, 16172, 6257])).
% 8.71/6.31 tff(16175,plain,
% 8.71/6.31 ((v112(constB77) | v115(constB77)) | (~v115(constB77))),
% 8.71/6.31 inference(tautology,[status(thm)],[])).
% 8.71/6.31 tff(16176,plain,
% 8.71/6.31 (v112(constB77) | v115(constB77)),
% 8.71/6.31 inference(unit_resolution,[status(thm)],[16175, 16174])).
% 8.71/6.31 tff(16177,plain,
% 8.71/6.31 ((~(v111(constB77) <=> (v112(constB77) | v115(constB77)))) | v111(constB77) | (~(v112(constB77) | v115(constB77)))),
% 8.71/6.31 inference(tautology,[status(thm)],[])).
% 8.71/6.31 tff(16178,plain,
% 8.71/6.31 (v111(constB77)),
% 8.71/6.31 inference(unit_resolution,[status(thm)],[16177, 16176, 6250])).
% 8.71/6.31 tff(16179,plain,
% 8.71/6.31 ((v111(constB77) | v116(constB77)) | (~v111(constB77))),
% 8.71/6.31 inference(tautology,[status(thm)],[])).
% 8.71/6.31 tff(16180,plain,
% 8.71/6.31 (v111(constB77) | v116(constB77)),
% 8.71/6.31 inference(unit_resolution,[status(thm)],[16179, 16178])).
% 8.71/6.31 tff(16181,plain,
% 8.71/6.31 ((~(v110(constB77) <=> (v111(constB77) | v116(constB77)))) | v110(constB77) | (~(v111(constB77) | v116(constB77)))),
% 8.71/6.31 inference(tautology,[status(thm)],[])).
% 8.71/6.31 tff(16182,plain,
% 8.71/6.31 (v110(constB77)),
% 8.71/6.31 inference(unit_resolution,[status(thm)],[16181, 16180, 6248])).
% 8.71/6.31 tff(16183,plain,
% 8.71/6.31 ((v110(constB77) | v117(constB77)) | (~v110(constB77))),
% 8.71/6.31 inference(tautology,[status(thm)],[])).
% 8.71/6.31 tff(16184,plain,
% 8.71/6.31 (v110(constB77) | v117(constB77)),
% 8.71/6.31 inference(unit_resolution,[status(thm)],[16183, 16182])).
% 8.71/6.31 tff(16185,plain,
% 8.71/6.31 ((~(v109(constB77) <=> (v110(constB77) | v117(constB77)))) | v109(constB77) | (~(v110(constB77) | v117(constB77)))),
% 8.71/6.31 inference(tautology,[status(thm)],[])).
% 8.71/6.31 tff(16186,plain,
% 8.71/6.31 (v109(constB77)),
% 8.71/6.31 inference(unit_resolution,[status(thm)],[16185, 16184, 6246])).
% 8.71/6.31 tff(16187,plain,
% 8.71/6.31 ((v109(constB77) | v118(constB77)) | (~v109(constB77))),
% 8.71/6.31 inference(tautology,[status(thm)],[])).
% 8.71/6.31 tff(16188,plain,
% 8.71/6.31 (v109(constB77) | v118(constB77)),
% 8.71/6.31 inference(unit_resolution,[status(thm)],[16187, 16186])).
% 8.71/6.31 tff(16189,plain,
% 8.71/6.31 ((~(v108(constB77) <=> (v109(constB77) | v118(constB77)))) | v108(constB77) | (~(v109(constB77) | v118(constB77)))),
% 8.71/6.31 inference(tautology,[status(thm)],[])).
% 8.71/6.31 tff(16190,plain,
% 8.71/6.31 (v108(constB77)),
% 8.71/6.31 inference(unit_resolution,[status(thm)],[16189, 16188, 6244])).
% 8.71/6.31 tff(16191,plain,
% 8.71/6.31 ((v108(constB77) | v119(constB77)) | (~v108(constB77))),
% 8.71/6.31 inference(tautology,[status(thm)],[])).
% 8.71/6.31 tff(16192,plain,
% 8.71/6.31 (v108(constB77) | v119(constB77)),
% 8.71/6.31 inference(unit_resolution,[status(thm)],[16191, 16190])).
% 8.71/6.31 tff(16193,plain,
% 8.71/6.31 ((~(v107(constB77) <=> (v108(constB77) | v119(constB77)))) | v107(constB77) | (~(v108(constB77) | v119(constB77)))),
% 8.71/6.31 inference(tautology,[status(thm)],[])).
% 8.71/6.31 tff(16194,plain,
% 8.71/6.31 (v107(constB77)),
% 8.71/6.31 inference(unit_resolution,[status(thm)],[16193, 16192, 6242])).
% 8.71/6.31 tff(16195,plain,
% 8.71/6.31 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB77)) <=> v105(constB77))),
% 8.71/6.31 inference(quant_inst,[status(thm)],[])).
% 8.71/6.31 tff(16196,plain,
% 8.71/6.31 ((~v120(constB77)) <=> v105(constB77)),
% 8.71/6.31 inference(unit_resolution,[status(thm)],[16195, 9842])).
% 8.71/6.31 tff(16197,plain,
% 8.71/6.31 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB77) <=> v26(constB77))),
% 8.71/6.31 inference(quant_inst,[status(thm)],[])).
% 8.71/6.31 tff(16198,plain,
% 8.71/6.31 (v105(constB77) <=> v26(constB77)),
% 8.71/6.31 inference(unit_resolution,[status(thm)],[16197, 9854])).
% 8.71/6.31 tff(16199,plain,
% 8.71/6.31 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB77))),
% 8.71/6.31 inference(quant_inst,[status(thm)],[])).
% 8.71/6.31 tff(16200,plain,
% 8.71/6.31 (~v26(constB77)),
% 8.71/6.31 inference(unit_resolution,[status(thm)],[16199, 9866])).
% 8.71/6.31 tff(16201,plain,
% 8.71/6.31 ((~(v105(constB77) <=> v26(constB77))) | (~v105(constB77)) | v26(constB77)),
% 8.71/6.31 inference(tautology,[status(thm)],[])).
% 8.71/6.31 tff(16202,plain,
% 8.71/6.31 ((~(v105(constB77) <=> v26(constB77))) | (~v105(constB77))),
% 8.71/6.31 inference(unit_resolution,[status(thm)],[16201, 16200])).
% 8.71/6.31 tff(16203,plain,
% 8.71/6.31 (~v105(constB77)),
% 8.71/6.31 inference(unit_resolution,[status(thm)],[16202, 16198])).
% 8.71/6.31 tff(16204,plain,
% 8.71/6.31 ((~((~v120(constB77)) <=> v105(constB77))) | v120(constB77) | v105(constB77)),
% 8.71/6.31 inference(tautology,[status(thm)],[])).
% 8.71/6.31 tff(16205,plain,
% 8.71/6.31 ((~((~v120(constB77)) <=> v105(constB77))) | v120(constB77)),
% 8.71/6.31 inference(unit_resolution,[status(thm)],[16204, 16203])).
% 8.71/6.31 tff(16206,plain,
% 8.71/6.31 (v120(constB77)),
% 8.71/6.31 inference(unit_resolution,[status(thm)],[16205, 16196])).
% 8.71/6.31 tff(16207,plain,
% 8.71/6.31 ((~((~v107(constB77)) | (~v120(constB77)))) | (~v107(constB77)) | (~v120(constB77))),
% 8.71/6.31 inference(tautology,[status(thm)],[])).
% 8.71/6.31 tff(16208,plain,
% 8.71/6.31 ((~((~v107(constB77)) | (~v120(constB77)))) | (~v107(constB77))),
% 8.71/6.31 inference(unit_resolution,[status(thm)],[16207, 16206])).
% 8.71/6.31 tff(16209,plain,
% 8.71/6.31 (~((~v107(constB77)) | (~v120(constB77)))),
% 8.71/6.31 inference(unit_resolution,[status(thm)],[16208, 16194])).
% 8.71/6.31 tff(16210,plain,
% 8.71/6.31 ((~(v106(constB77) <=> (~((~v107(constB77)) | (~v120(constB77)))))) | v106(constB77) | ((~v107(constB77)) | (~v120(constB77)))),
% 8.71/6.31 inference(tautology,[status(thm)],[])).
% 8.71/6.31 tff(16211,plain,
% 8.71/6.31 (v106(constB77)),
% 8.71/6.31 inference(unit_resolution,[status(thm)],[16210, 16209, 6240])).
% 8.71/6.31 tff(16212,plain,
% 8.71/6.31 ((v105(constB77) | v106(constB77)) | (~v106(constB77))),
% 8.71/6.31 inference(tautology,[status(thm)],[])).
% 8.71/6.31 tff(16213,plain,
% 8.71/6.31 (v105(constB77) | v106(constB77)),
% 8.71/6.31 inference(unit_resolution,[status(thm)],[16212, 16211])).
% 8.71/6.31 tff(16214,plain,
% 8.71/6.31 ((~(v102(constB77) <=> (v105(constB77) | v106(constB77)))) | v102(constB77) | (~(v105(constB77) | v106(constB77)))),
% 8.71/6.31 inference(tautology,[status(thm)],[])).
% 8.71/6.31 tff(16215,plain,
% 8.71/6.31 (v102(constB77)),
% 8.71/6.31 inference(unit_resolution,[status(thm)],[16214, 16213, 6238])).
% 8.71/6.31 tff(16216,plain,
% 8.71/6.31 ((~(v104(constB78) <=> v102(constB77))) | v104(constB78) | (~v102(constB77))),
% 8.71/6.31 inference(tautology,[status(thm)],[])).
% 8.71/6.31 tff(16217,plain,
% 8.71/6.31 (v104(constB78)),
% 8.71/6.31 inference(unit_resolution,[status(thm)],[16216, 16215, 6236])).
% 8.71/6.31 tff(16218,plain,
% 8.71/6.31 ((~((~v104(constB78)) | (~v95(constB78)))) | (~v104(constB78)) | (~v95(constB78))),
% 8.71/6.31 inference(tautology,[status(thm)],[])).
% 8.71/6.31 tff(16219,plain,
% 8.71/6.31 (~((~v104(constB78)) | (~v95(constB78)))),
% 8.71/6.31 inference(unit_resolution,[status(thm)],[16218, 16217, 6232])).
% 8.71/6.31 tff(16220,plain,
% 8.71/6.31 ((~(v94(constB78) <=> (~((~v104(constB78)) | (~v95(constB78)))))) | v94(constB78) | ((~v104(constB78)) | (~v95(constB78)))),
% 8.71/6.31 inference(tautology,[status(thm)],[])).
% 8.71/6.31 tff(16221,plain,
% 8.71/6.31 (v94(constB78)),
% 8.71/6.31 inference(unit_resolution,[status(thm)],[16220, 16219, 6201])).
% 8.71/6.31 tff(16222,plain,
% 8.71/6.31 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB78)) | ![B: $i] : ((~less_3(B)) | (v84(constB78, B) <=> v123(constB78, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB78)) | ![B: $i] : ((~less_3(B)) | (v84(constB78, B) <=> v123(constB78, B))))),
% 8.71/6.31 inference(rewrite,[status(thm)],[])).
% 8.71/6.31 tff(16223,plain,
% 8.71/6.31 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB78)) | ![B: $i] : ((~less_3(B)) | (v84(constB78, B) <=> v123(constB78, B))))),
% 8.71/6.31 inference(quant_inst,[status(thm)],[])).
% 8.71/6.31 tff(16224,plain,
% 8.71/6.31 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB78)) | ![B: $i] : ((~less_3(B)) | (v84(constB78, B) <=> v123(constB78, B)))),
% 8.71/6.31 inference(modus_ponens,[status(thm)],[16223, 16222])).
% 8.71/6.31 tff(16225,plain,
% 8.71/6.31 ((~v94(constB78)) | ![B: $i] : ((~less_3(B)) | (v84(constB78, B) <=> v123(constB78, B)))),
% 8.71/6.31 inference(unit_resolution,[status(thm)],[16224, 9902])).
% 8.71/6.31 tff(16226,plain,
% 8.71/6.31 (![B: $i] : ((~less_3(B)) | (v84(constB78, B) <=> v123(constB78, B)))),
% 8.71/6.31 inference(unit_resolution,[status(thm)],[16225, 16221])).
% 8.71/6.31 tff(16227,plain,
% 8.71/6.31 (((~![B: $i] : ((~less_3(B)) | (v84(constB78, B) <=> v123(constB78, B)))) | ((~less_3(bitIndex2)) | (v84(constB78, bitIndex2) <=> v123(constB78, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB78, B) <=> v123(constB78, B)))) | (~less_3(bitIndex2)) | (v84(constB78, bitIndex2) <=> v123(constB78, bitIndex2)))),
% 8.71/6.31 inference(rewrite,[status(thm)],[])).
% 8.71/6.31 tff(16228,plain,
% 8.71/6.31 ((~![B: $i] : ((~less_3(B)) | (v84(constB78, B) <=> v123(constB78, B)))) | ((~less_3(bitIndex2)) | (v84(constB78, bitIndex2) <=> v123(constB78, bitIndex2)))),
% 8.71/6.31 inference(quant_inst,[status(thm)],[])).
% 8.71/6.31 tff(16229,plain,
% 8.71/6.31 ((~![B: $i] : ((~less_3(B)) | (v84(constB78, B) <=> v123(constB78, B)))) | (~less_3(bitIndex2)) | (v84(constB78, bitIndex2) <=> v123(constB78, bitIndex2))),
% 8.71/6.31 inference(modus_ponens,[status(thm)],[16228, 16227])).
% 8.71/6.31 tff(16230,plain,
% 8.71/6.31 (v84(constB78, bitIndex2) <=> v123(constB78, bitIndex2)),
% 8.71/6.31 inference(unit_resolution,[status(thm)],[16229, 832, 16226])).
% 8.71/6.31 tff(16231,plain,
% 8.71/6.31 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB77, constB78)) | ![B: $i] : ((~less_3(B)) | (v123(constB78, B) <=> v121(constB77, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB77, constB78)) | ![B: $i] : ((~less_3(B)) | (v123(constB78, B) <=> v121(constB77, B))))),
% 8.71/6.31 inference(rewrite,[status(thm)],[])).
% 8.71/6.31 tff(16232,plain,
% 8.71/6.31 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB77, constB78)) | ![B: $i] : ((~less_3(B)) | (v123(constB78, B) <=> v121(constB77, B))))),
% 8.71/6.31 inference(quant_inst,[status(thm)],[])).
% 8.71/6.31 tff(16233,plain,
% 8.71/6.31 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB77, constB78)) | ![B: $i] : ((~less_3(B)) | (v123(constB78, B) <=> v121(constB77, B)))),
% 8.71/6.31 inference(modus_ponens,[status(thm)],[16232, 16231])).
% 8.71/6.31 tff(16234,plain,
% 8.71/6.31 (![B: $i] : ((~less_3(B)) | (v123(constB78, B) <=> v121(constB77, B)))),
% 8.71/6.31 inference(unit_resolution,[status(thm)],[16233, 6197, 9924])).
% 8.71/6.31 tff(16235,plain,
% 8.71/6.31 (((~![B: $i] : ((~less_3(B)) | (v123(constB78, B) <=> v121(constB77, B)))) | ((~less_3(bitIndex2)) | (v123(constB78, bitIndex2) <=> v121(constB77, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB78, B) <=> v121(constB77, B)))) | (~less_3(bitIndex2)) | (v123(constB78, bitIndex2) <=> v121(constB77, bitIndex2)))),
% 8.71/6.31 inference(rewrite,[status(thm)],[])).
% 8.71/6.31 tff(16236,plain,
% 8.71/6.31 ((~![B: $i] : ((~less_3(B)) | (v123(constB78, B) <=> v121(constB77, B)))) | ((~less_3(bitIndex2)) | (v123(constB78, bitIndex2) <=> v121(constB77, bitIndex2)))),
% 8.71/6.31 inference(quant_inst,[status(thm)],[])).
% 8.71/6.31 tff(16237,plain,
% 8.71/6.31 ((~![B: $i] : ((~less_3(B)) | (v123(constB78, B) <=> v121(constB77, B)))) | (~less_3(bitIndex2)) | (v123(constB78, bitIndex2) <=> v121(constB77, bitIndex2))),
% 8.71/6.31 inference(modus_ponens,[status(thm)],[16236, 16235])).
% 8.71/6.31 tff(16238,plain,
% 8.71/6.31 (v123(constB78, bitIndex2) <=> v121(constB77, bitIndex2)),
% 8.71/6.31 inference(unit_resolution,[status(thm)],[16237, 832, 16234])).
% 8.71/6.31 tff(16239,plain,
% 8.71/6.31 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB77) | ![B: $i] : ((~less_3(B)) | (v121(constB77, B) <=> v124(constB77, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB77) | ![B: $i] : ((~less_3(B)) | (v121(constB77, B) <=> v124(constB77, B))))),
% 8.71/6.31 inference(rewrite,[status(thm)],[])).
% 8.71/6.31 tff(16240,plain,
% 8.71/6.31 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB77) | ![B: $i] : ((~less_3(B)) | (v121(constB77, B) <=> v124(constB77, B))))),
% 8.71/6.31 inference(quant_inst,[status(thm)],[])).
% 8.71/6.31 tff(16241,plain,
% 8.71/6.31 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB77) | ![B: $i] : ((~less_3(B)) | (v121(constB77, B) <=> v124(constB77, B)))),
% 8.71/6.31 inference(modus_ponens,[status(thm)],[16240, 16239])).
% 8.71/6.31 tff(16242,plain,
% 8.71/6.31 (![B: $i] : ((~less_3(B)) | (v121(constB77, B) <=> v124(constB77, B)))),
% 8.71/6.31 inference(unit_resolution,[status(thm)],[16241, 9945, 16203])).
% 8.71/6.31 tff(16243,plain,
% 8.71/6.31 (((~![B: $i] : ((~less_3(B)) | (v121(constB77, B) <=> v124(constB77, B)))) | ((~less_3(bitIndex2)) | (v121(constB77, bitIndex2) <=> v124(constB77, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB77, B) <=> v124(constB77, B)))) | (~less_3(bitIndex2)) | (v121(constB77, bitIndex2) <=> v124(constB77, bitIndex2)))),
% 8.71/6.31 inference(rewrite,[status(thm)],[])).
% 8.71/6.31 tff(16244,plain,
% 8.71/6.31 ((~![B: $i] : ((~less_3(B)) | (v121(constB77, B) <=> v124(constB77, B)))) | ((~less_3(bitIndex2)) | (v121(constB77, bitIndex2) <=> v124(constB77, bitIndex2)))),
% 8.71/6.31 inference(quant_inst,[status(thm)],[])).
% 8.71/6.31 tff(16245,plain,
% 8.71/6.31 ((~![B: $i] : ((~less_3(B)) | (v121(constB77, B) <=> v124(constB77, B)))) | (~less_3(bitIndex2)) | (v121(constB77, bitIndex2) <=> v124(constB77, bitIndex2))),
% 8.71/6.31 inference(modus_ponens,[status(thm)],[16244, 16243])).
% 8.71/6.31 tff(16246,plain,
% 8.71/6.31 (v121(constB77, bitIndex2) <=> v124(constB77, bitIndex2)),
% 8.71/6.31 inference(unit_resolution,[status(thm)],[16245, 832, 16242])).
% 8.71/6.31 tff(16247,plain,
% 8.71/6.31 (((~![VarCurr: $i] : ((~v115(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b011(B))))) | ((~v115(constB77)) | ![B: $i] : ((~less_3(B)) | (v124(constB77, B) <=> b011(B))))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b011(B))))) | (~v115(constB77)) | ![B: $i] : ((~less_3(B)) | (v124(constB77, B) <=> b011(B))))),
% 8.71/6.31 inference(rewrite,[status(thm)],[])).
% 8.71/6.31 tff(16248,plain,
% 8.71/6.31 ((~![VarCurr: $i] : ((~v115(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b011(B))))) | ((~v115(constB77)) | ![B: $i] : ((~less_3(B)) | (v124(constB77, B) <=> b011(B))))),
% 8.71/6.31 inference(quant_inst,[status(thm)],[])).
% 8.71/6.31 tff(16249,plain,
% 8.71/6.31 ((~![VarCurr: $i] : ((~v115(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b011(B))))) | (~v115(constB77)) | ![B: $i] : ((~less_3(B)) | (v124(constB77, B) <=> b011(B)))),
% 8.71/6.31 inference(modus_ponens,[status(thm)],[16248, 16247])).
% 8.71/6.31 tff(16250,plain,
% 8.71/6.31 ((~v115(constB77)) | ![B: $i] : ((~less_3(B)) | (v124(constB77, B) <=> b011(B)))),
% 8.71/6.31 inference(unit_resolution,[status(thm)],[16249, 10329])).
% 8.71/6.31 tff(16251,plain,
% 8.71/6.31 (![B: $i] : ((~less_3(B)) | (v124(constB77, B) <=> b011(B)))),
% 8.71/6.31 inference(unit_resolution,[status(thm)],[16250, 16174])).
% 8.71/6.31 tff(16252,plain,
% 8.71/6.31 (((~![B: $i] : ((~less_3(B)) | (v124(constB77, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v124(constB77, bitIndex2) <=> b011(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB77, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v124(constB77, bitIndex2) <=> b011(bitIndex2)))),
% 8.71/6.31 inference(rewrite,[status(thm)],[])).
% 8.71/6.31 tff(16253,plain,
% 8.71/6.31 ((~![B: $i] : ((~less_3(B)) | (v124(constB77, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v124(constB77, bitIndex2) <=> b011(bitIndex2)))),
% 8.71/6.31 inference(quant_inst,[status(thm)],[])).
% 8.71/6.31 tff(16254,plain,
% 8.71/6.31 ((~![B: $i] : ((~less_3(B)) | (v124(constB77, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v124(constB77, bitIndex2) <=> b011(bitIndex2))),
% 8.71/6.31 inference(modus_ponens,[status(thm)],[16253, 16252])).
% 8.71/6.31 tff(16255,plain,
% 8.71/6.31 (v124(constB77, bitIndex2) <=> b011(bitIndex2)),
% 8.71/6.31 inference(unit_resolution,[status(thm)],[16254, 832, 16251])).
% 8.71/6.31 tff(16256,plain,
% 8.71/6.31 ((~(v124(constB77, bitIndex2) <=> b011(bitIndex2))) | (~v124(constB77, bitIndex2)) | b011(bitIndex2)),
% 8.80/6.31 inference(tautology,[status(thm)],[])).
% 8.80/6.31 tff(16257,plain,
% 8.80/6.31 ((~(v124(constB77, bitIndex2) <=> b011(bitIndex2))) | (~v124(constB77, bitIndex2))),
% 8.80/6.31 inference(unit_resolution,[status(thm)],[16256, 10341])).
% 8.80/6.31 tff(16258,plain,
% 8.80/6.31 (~v124(constB77, bitIndex2)),
% 8.80/6.31 inference(unit_resolution,[status(thm)],[16257, 16255])).
% 8.80/6.31 tff(16259,plain,
% 8.80/6.31 ((~(v121(constB77, bitIndex2) <=> v124(constB77, bitIndex2))) | (~v121(constB77, bitIndex2)) | v124(constB77, bitIndex2)),
% 8.80/6.31 inference(tautology,[status(thm)],[])).
% 8.80/6.31 tff(16260,plain,
% 8.80/6.31 (~v121(constB77, bitIndex2)),
% 8.80/6.31 inference(unit_resolution,[status(thm)],[16259, 16258, 16246])).
% 8.80/6.31 tff(16261,plain,
% 8.80/6.31 ((~(v123(constB78, bitIndex2) <=> v121(constB77, bitIndex2))) | (~v123(constB78, bitIndex2)) | v121(constB77, bitIndex2)),
% 8.80/6.31 inference(tautology,[status(thm)],[])).
% 8.80/6.31 tff(16262,plain,
% 8.80/6.31 (~v123(constB78, bitIndex2)),
% 8.80/6.31 inference(unit_resolution,[status(thm)],[16261, 16260, 16238])).
% 8.80/6.31 tff(16263,plain,
% 8.80/6.31 ((~(v84(constB78, bitIndex2) <=> v123(constB78, bitIndex2))) | (~v84(constB78, bitIndex2)) | v123(constB78, bitIndex2)),
% 8.80/6.31 inference(tautology,[status(thm)],[])).
% 8.80/6.31 tff(16264,plain,
% 8.80/6.31 (~v84(constB78, bitIndex2)),
% 8.80/6.31 inference(unit_resolution,[status(thm)],[16263, 16262, 16230])).
% 8.80/6.31 tff(16265,plain,
% 8.80/6.31 ((~(v84(constB79, bitIndex2) <=> v84(constB78, bitIndex2))) | (~v84(constB79, bitIndex2)) | v84(constB78, bitIndex2)),
% 8.80/6.31 inference(tautology,[status(thm)],[])).
% 8.80/6.31 tff(16266,plain,
% 8.80/6.31 (~v84(constB79, bitIndex2)),
% 8.80/6.31 inference(unit_resolution,[status(thm)],[16265, 16264, 6194])).
% 8.80/6.31 tff(16267,plain,
% 8.80/6.31 (((~![B: $i] : ((~less_3(B)) | (v84(constB79, B) <=> v84(constB78, B)))) | ((~less_3(bitIndex0)) | (v84(constB79, bitIndex0) <=> v84(constB78, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB79, B) <=> v84(constB78, B)))) | (~less_3(bitIndex0)) | (v84(constB79, bitIndex0) <=> v84(constB78, bitIndex0)))),
% 8.80/6.31 inference(rewrite,[status(thm)],[])).
% 8.80/6.31 tff(16268,plain,
% 8.80/6.31 ((~![B: $i] : ((~less_3(B)) | (v84(constB79, B) <=> v84(constB78, B)))) | ((~less_3(bitIndex0)) | (v84(constB79, bitIndex0) <=> v84(constB78, bitIndex0)))),
% 8.80/6.31 inference(quant_inst,[status(thm)],[])).
% 8.80/6.31 tff(16269,plain,
% 8.80/6.31 ((~![B: $i] : ((~less_3(B)) | (v84(constB79, B) <=> v84(constB78, B)))) | (~less_3(bitIndex0)) | (v84(constB79, bitIndex0) <=> v84(constB78, bitIndex0))),
% 8.80/6.31 inference(modus_ponens,[status(thm)],[16268, 16267])).
% 8.80/6.31 tff(16270,plain,
% 8.80/6.31 (v84(constB79, bitIndex0) <=> v84(constB78, bitIndex0)),
% 8.80/6.31 inference(unit_resolution,[status(thm)],[16269, 9772, 6190])).
% 8.80/6.31 tff(16271,plain,
% 8.80/6.31 (((~![B: $i] : ((~less_3(B)) | (v84(constB78, B) <=> v123(constB78, B)))) | ((~less_3(bitIndex0)) | (v84(constB78, bitIndex0) <=> v123(constB78, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB78, B) <=> v123(constB78, B)))) | (~less_3(bitIndex0)) | (v84(constB78, bitIndex0) <=> v123(constB78, bitIndex0)))),
% 8.80/6.31 inference(rewrite,[status(thm)],[])).
% 8.80/6.31 tff(16272,plain,
% 8.80/6.31 ((~![B: $i] : ((~less_3(B)) | (v84(constB78, B) <=> v123(constB78, B)))) | ((~less_3(bitIndex0)) | (v84(constB78, bitIndex0) <=> v123(constB78, bitIndex0)))),
% 8.80/6.31 inference(quant_inst,[status(thm)],[])).
% 8.80/6.31 tff(16273,plain,
% 8.80/6.31 ((~![B: $i] : ((~less_3(B)) | (v84(constB78, B) <=> v123(constB78, B)))) | (~less_3(bitIndex0)) | (v84(constB78, bitIndex0) <=> v123(constB78, bitIndex0))),
% 8.80/6.31 inference(modus_ponens,[status(thm)],[16272, 16271])).
% 8.80/6.31 tff(16274,plain,
% 8.80/6.31 (v84(constB78, bitIndex0) <=> v123(constB78, bitIndex0)),
% 8.80/6.31 inference(unit_resolution,[status(thm)],[16273, 9772, 16226])).
% 8.80/6.31 tff(16275,plain,
% 8.80/6.31 (((~![B: $i] : ((~less_3(B)) | (v123(constB78, B) <=> v121(constB77, B)))) | ((~less_3(bitIndex0)) | (v123(constB78, bitIndex0) <=> v121(constB77, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB78, B) <=> v121(constB77, B)))) | (~less_3(bitIndex0)) | (v123(constB78, bitIndex0) <=> v121(constB77, bitIndex0)))),
% 8.80/6.31 inference(rewrite,[status(thm)],[])).
% 8.80/6.31 tff(16276,plain,
% 8.80/6.31 ((~![B: $i] : ((~less_3(B)) | (v123(constB78, B) <=> v121(constB77, B)))) | ((~less_3(bitIndex0)) | (v123(constB78, bitIndex0) <=> v121(constB77, bitIndex0)))),
% 8.80/6.31 inference(quant_inst,[status(thm)],[])).
% 8.80/6.31 tff(16277,plain,
% 8.80/6.31 ((~![B: $i] : ((~less_3(B)) | (v123(constB78, B) <=> v121(constB77, B)))) | (~less_3(bitIndex0)) | (v123(constB78, bitIndex0) <=> v121(constB77, bitIndex0))),
% 8.80/6.31 inference(modus_ponens,[status(thm)],[16276, 16275])).
% 8.80/6.31 tff(16278,plain,
% 8.80/6.31 (v123(constB78, bitIndex0) <=> v121(constB77, bitIndex0)),
% 8.80/6.31 inference(unit_resolution,[status(thm)],[16277, 9772, 16234])).
% 8.80/6.31 tff(16279,plain,
% 8.80/6.31 (((~![B: $i] : ((~less_3(B)) | (v121(constB77, B) <=> v124(constB77, B)))) | ((~less_3(bitIndex0)) | (v121(constB77, bitIndex0) <=> v124(constB77, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB77, B) <=> v124(constB77, B)))) | (~less_3(bitIndex0)) | (v121(constB77, bitIndex0) <=> v124(constB77, bitIndex0)))),
% 8.80/6.31 inference(rewrite,[status(thm)],[])).
% 8.80/6.31 tff(16280,plain,
% 8.80/6.31 ((~![B: $i] : ((~less_3(B)) | (v121(constB77, B) <=> v124(constB77, B)))) | ((~less_3(bitIndex0)) | (v121(constB77, bitIndex0) <=> v124(constB77, bitIndex0)))),
% 8.80/6.31 inference(quant_inst,[status(thm)],[])).
% 8.80/6.31 tff(16281,plain,
% 8.80/6.31 ((~![B: $i] : ((~less_3(B)) | (v121(constB77, B) <=> v124(constB77, B)))) | (~less_3(bitIndex0)) | (v121(constB77, bitIndex0) <=> v124(constB77, bitIndex0))),
% 8.80/6.31 inference(modus_ponens,[status(thm)],[16280, 16279])).
% 8.80/6.31 tff(16282,plain,
% 8.80/6.31 (v121(constB77, bitIndex0) <=> v124(constB77, bitIndex0)),
% 8.80/6.31 inference(unit_resolution,[status(thm)],[16281, 9772, 16242])).
% 8.80/6.31 tff(16283,plain,
% 8.80/6.31 (((~![B: $i] : ((~less_3(B)) | (v124(constB77, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v124(constB77, bitIndex0) <=> b011(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB77, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v124(constB77, bitIndex0) <=> b011(bitIndex0)))),
% 8.80/6.31 inference(rewrite,[status(thm)],[])).
% 8.80/6.31 tff(16284,plain,
% 8.80/6.31 ((~![B: $i] : ((~less_3(B)) | (v124(constB77, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v124(constB77, bitIndex0) <=> b011(bitIndex0)))),
% 8.80/6.31 inference(quant_inst,[status(thm)],[])).
% 8.80/6.31 tff(16285,plain,
% 8.80/6.31 ((~![B: $i] : ((~less_3(B)) | (v124(constB77, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v124(constB77, bitIndex0) <=> b011(bitIndex0))),
% 8.80/6.31 inference(modus_ponens,[status(thm)],[16284, 16283])).
% 8.80/6.31 tff(16286,plain,
% 8.80/6.31 (v124(constB77, bitIndex0) <=> b011(bitIndex0)),
% 8.80/6.31 inference(unit_resolution,[status(thm)],[16285, 9772, 16251])).
% 8.80/6.31 tff(16287,plain,
% 8.80/6.31 ((~(v124(constB77, bitIndex0) <=> b011(bitIndex0))) | v124(constB77, bitIndex0) | (~b011(bitIndex0))),
% 8.80/6.31 inference(tautology,[status(thm)],[])).
% 8.80/6.31 tff(16288,plain,
% 8.80/6.31 ((~(v124(constB77, bitIndex0) <=> b011(bitIndex0))) | v124(constB77, bitIndex0)),
% 8.80/6.31 inference(unit_resolution,[status(thm)],[16287, 10375])).
% 8.80/6.31 tff(16289,plain,
% 8.80/6.31 (v124(constB77, bitIndex0)),
% 8.80/6.31 inference(unit_resolution,[status(thm)],[16288, 16286])).
% 8.80/6.31 tff(16290,plain,
% 8.80/6.31 ((~(v121(constB77, bitIndex0) <=> v124(constB77, bitIndex0))) | v121(constB77, bitIndex0) | (~v124(constB77, bitIndex0))),
% 8.80/6.31 inference(tautology,[status(thm)],[])).
% 8.80/6.31 tff(16291,plain,
% 8.80/6.31 (v121(constB77, bitIndex0)),
% 8.80/6.31 inference(unit_resolution,[status(thm)],[16290, 16289, 16282])).
% 8.80/6.31 tff(16292,plain,
% 8.80/6.31 ((~(v123(constB78, bitIndex0) <=> v121(constB77, bitIndex0))) | v123(constB78, bitIndex0) | (~v121(constB77, bitIndex0))),
% 8.80/6.31 inference(tautology,[status(thm)],[])).
% 8.80/6.31 tff(16293,plain,
% 8.80/6.31 (v123(constB78, bitIndex0)),
% 8.80/6.31 inference(unit_resolution,[status(thm)],[16292, 16291, 16278])).
% 8.80/6.31 tff(16294,plain,
% 8.80/6.31 ((~(v84(constB78, bitIndex0) <=> v123(constB78, bitIndex0))) | v84(constB78, bitIndex0) | (~v123(constB78, bitIndex0))),
% 8.80/6.31 inference(tautology,[status(thm)],[])).
% 8.80/6.31 tff(16295,plain,
% 8.80/6.31 (v84(constB78, bitIndex0)),
% 8.80/6.31 inference(unit_resolution,[status(thm)],[16294, 16293, 16274])).
% 8.80/6.31 tff(16296,plain,
% 8.80/6.31 ((~(v84(constB79, bitIndex0) <=> v84(constB78, bitIndex0))) | v84(constB79, bitIndex0) | (~v84(constB78, bitIndex0))),
% 8.80/6.31 inference(tautology,[status(thm)],[])).
% 8.80/6.31 tff(16297,plain,
% 8.80/6.31 (v84(constB79, bitIndex0)),
% 8.80/6.31 inference(unit_resolution,[status(thm)],[16296, 16295, 16270])).
% 8.80/6.31 tff(16298,plain,
% 8.80/6.31 (((~![B: $i] : ((~less_3(B)) | (v84(constB79, B) <=> v84(constB78, B)))) | ((~less_3(bitIndex1)) | (v84(constB79, bitIndex1) <=> v84(constB78, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB79, B) <=> v84(constB78, B)))) | (~less_3(bitIndex1)) | (v84(constB79, bitIndex1) <=> v84(constB78, bitIndex1)))),
% 8.80/6.32 inference(rewrite,[status(thm)],[])).
% 8.80/6.32 tff(16299,plain,
% 8.80/6.32 ((~![B: $i] : ((~less_3(B)) | (v84(constB79, B) <=> v84(constB78, B)))) | ((~less_3(bitIndex1)) | (v84(constB79, bitIndex1) <=> v84(constB78, bitIndex1)))),
% 8.80/6.32 inference(quant_inst,[status(thm)],[])).
% 8.80/6.32 tff(16300,plain,
% 8.80/6.32 ((~![B: $i] : ((~less_3(B)) | (v84(constB79, B) <=> v84(constB78, B)))) | (~less_3(bitIndex1)) | (v84(constB79, bitIndex1) <=> v84(constB78, bitIndex1))),
% 8.80/6.32 inference(modus_ponens,[status(thm)],[16299, 16298])).
% 8.80/6.32 tff(16301,plain,
% 8.80/6.32 (v84(constB79, bitIndex1) <=> v84(constB78, bitIndex1)),
% 8.80/6.32 inference(unit_resolution,[status(thm)],[16300, 9785, 6190])).
% 8.80/6.32 tff(16302,plain,
% 8.80/6.32 (((~![B: $i] : ((~less_3(B)) | (v84(constB78, B) <=> v123(constB78, B)))) | ((~less_3(bitIndex1)) | (v84(constB78, bitIndex1) <=> v123(constB78, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB78, B) <=> v123(constB78, B)))) | (~less_3(bitIndex1)) | (v84(constB78, bitIndex1) <=> v123(constB78, bitIndex1)))),
% 8.80/6.32 inference(rewrite,[status(thm)],[])).
% 8.80/6.32 tff(16303,plain,
% 8.80/6.32 ((~![B: $i] : ((~less_3(B)) | (v84(constB78, B) <=> v123(constB78, B)))) | ((~less_3(bitIndex1)) | (v84(constB78, bitIndex1) <=> v123(constB78, bitIndex1)))),
% 8.80/6.32 inference(quant_inst,[status(thm)],[])).
% 8.80/6.32 tff(16304,plain,
% 8.80/6.32 ((~![B: $i] : ((~less_3(B)) | (v84(constB78, B) <=> v123(constB78, B)))) | (~less_3(bitIndex1)) | (v84(constB78, bitIndex1) <=> v123(constB78, bitIndex1))),
% 8.80/6.32 inference(modus_ponens,[status(thm)],[16303, 16302])).
% 8.80/6.32 tff(16305,plain,
% 8.80/6.32 (v84(constB78, bitIndex1) <=> v123(constB78, bitIndex1)),
% 8.80/6.32 inference(unit_resolution,[status(thm)],[16304, 9785, 16226])).
% 8.80/6.32 tff(16306,plain,
% 8.80/6.32 (((~![B: $i] : ((~less_3(B)) | (v123(constB78, B) <=> v121(constB77, B)))) | ((~less_3(bitIndex1)) | (v123(constB78, bitIndex1) <=> v121(constB77, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB78, B) <=> v121(constB77, B)))) | (~less_3(bitIndex1)) | (v123(constB78, bitIndex1) <=> v121(constB77, bitIndex1)))),
% 8.80/6.32 inference(rewrite,[status(thm)],[])).
% 8.80/6.32 tff(16307,plain,
% 8.80/6.32 ((~![B: $i] : ((~less_3(B)) | (v123(constB78, B) <=> v121(constB77, B)))) | ((~less_3(bitIndex1)) | (v123(constB78, bitIndex1) <=> v121(constB77, bitIndex1)))),
% 8.80/6.32 inference(quant_inst,[status(thm)],[])).
% 8.80/6.32 tff(16308,plain,
% 8.80/6.32 ((~![B: $i] : ((~less_3(B)) | (v123(constB78, B) <=> v121(constB77, B)))) | (~less_3(bitIndex1)) | (v123(constB78, bitIndex1) <=> v121(constB77, bitIndex1))),
% 8.80/6.32 inference(modus_ponens,[status(thm)],[16307, 16306])).
% 8.80/6.32 tff(16309,plain,
% 8.80/6.32 (v123(constB78, bitIndex1) <=> v121(constB77, bitIndex1)),
% 8.80/6.32 inference(unit_resolution,[status(thm)],[16308, 9785, 16234])).
% 8.80/6.32 tff(16310,plain,
% 8.80/6.32 (((~![B: $i] : ((~less_3(B)) | (v121(constB77, B) <=> v124(constB77, B)))) | ((~less_3(bitIndex1)) | (v121(constB77, bitIndex1) <=> v124(constB77, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB77, B) <=> v124(constB77, B)))) | (~less_3(bitIndex1)) | (v121(constB77, bitIndex1) <=> v124(constB77, bitIndex1)))),
% 8.80/6.32 inference(rewrite,[status(thm)],[])).
% 8.80/6.32 tff(16311,plain,
% 8.80/6.32 ((~![B: $i] : ((~less_3(B)) | (v121(constB77, B) <=> v124(constB77, B)))) | ((~less_3(bitIndex1)) | (v121(constB77, bitIndex1) <=> v124(constB77, bitIndex1)))),
% 8.80/6.32 inference(quant_inst,[status(thm)],[])).
% 8.80/6.32 tff(16312,plain,
% 8.80/6.32 ((~![B: $i] : ((~less_3(B)) | (v121(constB77, B) <=> v124(constB77, B)))) | (~less_3(bitIndex1)) | (v121(constB77, bitIndex1) <=> v124(constB77, bitIndex1))),
% 8.80/6.32 inference(modus_ponens,[status(thm)],[16311, 16310])).
% 8.80/6.32 tff(16313,plain,
% 8.80/6.32 (v121(constB77, bitIndex1) <=> v124(constB77, bitIndex1)),
% 8.80/6.32 inference(unit_resolution,[status(thm)],[16312, 9785, 16242])).
% 8.80/6.32 tff(16314,plain,
% 8.80/6.32 (((~![B: $i] : ((~less_3(B)) | (v124(constB77, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v124(constB77, bitIndex1) <=> b011(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB77, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v124(constB77, bitIndex1) <=> b011(bitIndex1)))),
% 8.80/6.32 inference(rewrite,[status(thm)],[])).
% 8.80/6.32 tff(16315,plain,
% 8.80/6.32 ((~![B: $i] : ((~less_3(B)) | (v124(constB77, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v124(constB77, bitIndex1) <=> b011(bitIndex1)))),
% 8.80/6.32 inference(quant_inst,[status(thm)],[])).
% 8.80/6.32 tff(16316,plain,
% 8.80/6.32 ((~![B: $i] : ((~less_3(B)) | (v124(constB77, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v124(constB77, bitIndex1) <=> b011(bitIndex1))),
% 8.80/6.32 inference(modus_ponens,[status(thm)],[16315, 16314])).
% 8.80/6.32 tff(16317,plain,
% 8.80/6.32 (v124(constB77, bitIndex1) <=> b011(bitIndex1)),
% 8.80/6.32 inference(unit_resolution,[status(thm)],[16316, 9785, 16251])).
% 8.80/6.32 tff(16318,plain,
% 8.80/6.32 ((~(v124(constB77, bitIndex1) <=> b011(bitIndex1))) | v124(constB77, bitIndex1) | (~b011(bitIndex1))),
% 8.80/6.32 inference(tautology,[status(thm)],[])).
% 8.80/6.32 tff(16319,plain,
% 8.80/6.32 ((~(v124(constB77, bitIndex1) <=> b011(bitIndex1))) | v124(constB77, bitIndex1)),
% 8.80/6.32 inference(unit_resolution,[status(thm)],[16318, 10409])).
% 8.80/6.32 tff(16320,plain,
% 8.80/6.32 (v124(constB77, bitIndex1)),
% 8.80/6.32 inference(unit_resolution,[status(thm)],[16319, 16317])).
% 8.80/6.32 tff(16321,plain,
% 8.80/6.32 ((~(v121(constB77, bitIndex1) <=> v124(constB77, bitIndex1))) | v121(constB77, bitIndex1) | (~v124(constB77, bitIndex1))),
% 8.80/6.32 inference(tautology,[status(thm)],[])).
% 8.80/6.32 tff(16322,plain,
% 8.80/6.32 (v121(constB77, bitIndex1)),
% 8.80/6.32 inference(unit_resolution,[status(thm)],[16321, 16320, 16313])).
% 8.80/6.32 tff(16323,plain,
% 8.80/6.32 ((~(v123(constB78, bitIndex1) <=> v121(constB77, bitIndex1))) | v123(constB78, bitIndex1) | (~v121(constB77, bitIndex1))),
% 8.80/6.32 inference(tautology,[status(thm)],[])).
% 8.80/6.32 tff(16324,plain,
% 8.80/6.32 (v123(constB78, bitIndex1)),
% 8.80/6.32 inference(unit_resolution,[status(thm)],[16323, 16322, 16309])).
% 8.80/6.32 tff(16325,plain,
% 8.80/6.32 ((~(v84(constB78, bitIndex1) <=> v123(constB78, bitIndex1))) | v84(constB78, bitIndex1) | (~v123(constB78, bitIndex1))),
% 8.80/6.32 inference(tautology,[status(thm)],[])).
% 8.80/6.32 tff(16326,plain,
% 8.80/6.32 (v84(constB78, bitIndex1)),
% 8.80/6.32 inference(unit_resolution,[status(thm)],[16325, 16324, 16305])).
% 8.80/6.32 tff(16327,plain,
% 8.80/6.32 ((~(v84(constB79, bitIndex1) <=> v84(constB78, bitIndex1))) | v84(constB79, bitIndex1) | (~v84(constB78, bitIndex1))),
% 8.80/6.32 inference(tautology,[status(thm)],[])).
% 8.80/6.32 tff(16328,plain,
% 8.80/6.32 (v84(constB79, bitIndex1)),
% 8.80/6.32 inference(unit_resolution,[status(thm)],[16327, 16326, 16301])).
% 8.80/6.32 tff(16329,plain,
% 8.80/6.32 ((~(v84(constB79, bitIndex2) | (~v84(constB79, bitIndex1)) | (~v84(constB79, bitIndex0)))) | v84(constB79, bitIndex2) | (~v84(constB79, bitIndex1)) | (~v84(constB79, bitIndex0))),
% 8.80/6.32 inference(tautology,[status(thm)],[])).
% 8.80/6.32 tff(16330,plain,
% 8.80/6.32 (~(v84(constB79, bitIndex2) | (~v84(constB79, bitIndex1)) | (~v84(constB79, bitIndex0)))),
% 8.80/6.32 inference(unit_resolution,[status(thm)],[16329, 16328, 16297, 16266])).
% 8.80/6.32 tff(16331,plain,
% 8.80/6.32 ((~(v116(constB79) <=> (~(v84(constB79, bitIndex2) | (~v84(constB79, bitIndex1)) | (~v84(constB79, bitIndex0)))))) | v116(constB79) | (v84(constB79, bitIndex2) | (~v84(constB79, bitIndex1)) | (~v84(constB79, bitIndex0)))),
% 8.80/6.32 inference(tautology,[status(thm)],[])).
% 8.80/6.32 tff(16332,plain,
% 8.80/6.32 (v116(constB79)),
% 8.80/6.32 inference(unit_resolution,[status(thm)],[16331, 16330, 6162])).
% 8.80/6.32 tff(16333,plain,
% 8.80/6.32 ((v111(constB79) | v116(constB79)) | (~v116(constB79))),
% 8.80/6.32 inference(tautology,[status(thm)],[])).
% 8.80/6.32 tff(16334,plain,
% 8.80/6.32 (v111(constB79) | v116(constB79)),
% 8.80/6.32 inference(unit_resolution,[status(thm)],[16333, 16332])).
% 8.80/6.32 tff(16335,plain,
% 8.80/6.32 ((~(v110(constB79) <=> (v111(constB79) | v116(constB79)))) | v110(constB79) | (~(v111(constB79) | v116(constB79)))),
% 8.80/6.32 inference(tautology,[status(thm)],[])).
% 8.80/6.32 tff(16336,plain,
% 8.80/6.32 (v110(constB79)),
% 8.80/6.32 inference(unit_resolution,[status(thm)],[16335, 16334, 6160])).
% 8.80/6.32 tff(16337,plain,
% 8.80/6.32 ((v110(constB79) | v117(constB79)) | (~v110(constB79))),
% 8.80/6.32 inference(tautology,[status(thm)],[])).
% 8.80/6.32 tff(16338,plain,
% 8.80/6.32 (v110(constB79) | v117(constB79)),
% 8.80/6.32 inference(unit_resolution,[status(thm)],[16337, 16336])).
% 8.80/6.32 tff(16339,plain,
% 8.80/6.32 ((~(v109(constB79) <=> (v110(constB79) | v117(constB79)))) | v109(constB79) | (~(v110(constB79) | v117(constB79)))),
% 8.80/6.32 inference(tautology,[status(thm)],[])).
% 8.80/6.32 tff(16340,plain,
% 8.80/6.32 (v109(constB79)),
% 8.80/6.32 inference(unit_resolution,[status(thm)],[16339, 16338, 6158])).
% 8.80/6.32 tff(16341,plain,
% 8.80/6.32 ((v109(constB79) | v118(constB79)) | (~v109(constB79))),
% 8.80/6.32 inference(tautology,[status(thm)],[])).
% 8.80/6.32 tff(16342,plain,
% 8.80/6.32 (v109(constB79) | v118(constB79)),
% 8.80/6.32 inference(unit_resolution,[status(thm)],[16341, 16340])).
% 8.80/6.32 tff(16343,plain,
% 8.80/6.32 ((~(v108(constB79) <=> (v109(constB79) | v118(constB79)))) | v108(constB79) | (~(v109(constB79) | v118(constB79)))),
% 8.80/6.32 inference(tautology,[status(thm)],[])).
% 8.80/6.32 tff(16344,plain,
% 8.80/6.32 (v108(constB79)),
% 8.80/6.32 inference(unit_resolution,[status(thm)],[16343, 16342, 6156])).
% 8.80/6.32 tff(16345,plain,
% 8.80/6.32 ((v108(constB79) | v119(constB79)) | (~v108(constB79))),
% 8.80/6.32 inference(tautology,[status(thm)],[])).
% 8.80/6.32 tff(16346,plain,
% 8.80/6.32 (v108(constB79) | v119(constB79)),
% 8.80/6.32 inference(unit_resolution,[status(thm)],[16345, 16344])).
% 8.80/6.32 tff(16347,plain,
% 8.80/6.32 ((~(v107(constB79) <=> (v108(constB79) | v119(constB79)))) | v107(constB79) | (~(v108(constB79) | v119(constB79)))),
% 8.80/6.32 inference(tautology,[status(thm)],[])).
% 8.80/6.32 tff(16348,plain,
% 8.80/6.32 (v107(constB79)),
% 8.80/6.32 inference(unit_resolution,[status(thm)],[16347, 16346, 6154])).
% 8.80/6.32 tff(16349,plain,
% 8.80/6.32 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB79)) <=> v105(constB79))),
% 8.80/6.32 inference(quant_inst,[status(thm)],[])).
% 8.80/6.32 tff(16350,plain,
% 8.80/6.32 ((~v120(constB79)) <=> v105(constB79)),
% 8.80/6.32 inference(unit_resolution,[status(thm)],[16349, 9842])).
% 8.80/6.32 tff(16351,plain,
% 8.80/6.32 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB79) <=> v26(constB79))),
% 8.80/6.32 inference(quant_inst,[status(thm)],[])).
% 8.80/6.32 tff(16352,plain,
% 8.80/6.32 (v105(constB79) <=> v26(constB79)),
% 8.80/6.32 inference(unit_resolution,[status(thm)],[16351, 9854])).
% 8.80/6.32 tff(16353,plain,
% 8.80/6.32 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB79))),
% 8.80/6.32 inference(quant_inst,[status(thm)],[])).
% 8.80/6.32 tff(16354,plain,
% 8.80/6.32 (~v26(constB79)),
% 8.80/6.32 inference(unit_resolution,[status(thm)],[16353, 9866])).
% 8.80/6.32 tff(16355,plain,
% 8.80/6.32 ((~(v105(constB79) <=> v26(constB79))) | (~v105(constB79)) | v26(constB79)),
% 8.80/6.32 inference(tautology,[status(thm)],[])).
% 8.80/6.32 tff(16356,plain,
% 8.80/6.32 ((~(v105(constB79) <=> v26(constB79))) | (~v105(constB79))),
% 8.80/6.32 inference(unit_resolution,[status(thm)],[16355, 16354])).
% 8.80/6.32 tff(16357,plain,
% 8.80/6.32 (~v105(constB79)),
% 8.80/6.32 inference(unit_resolution,[status(thm)],[16356, 16352])).
% 8.80/6.32 tff(16358,plain,
% 8.80/6.32 ((~((~v120(constB79)) <=> v105(constB79))) | v120(constB79) | v105(constB79)),
% 8.80/6.32 inference(tautology,[status(thm)],[])).
% 8.80/6.32 tff(16359,plain,
% 8.80/6.32 ((~((~v120(constB79)) <=> v105(constB79))) | v120(constB79)),
% 8.80/6.32 inference(unit_resolution,[status(thm)],[16358, 16357])).
% 8.80/6.32 tff(16360,plain,
% 8.80/6.32 (v120(constB79)),
% 8.80/6.32 inference(unit_resolution,[status(thm)],[16359, 16350])).
% 8.80/6.32 tff(16361,plain,
% 8.80/6.32 ((~((~v107(constB79)) | (~v120(constB79)))) | (~v107(constB79)) | (~v120(constB79))),
% 8.80/6.32 inference(tautology,[status(thm)],[])).
% 8.80/6.32 tff(16362,plain,
% 8.80/6.32 ((~((~v107(constB79)) | (~v120(constB79)))) | (~v107(constB79))),
% 8.80/6.32 inference(unit_resolution,[status(thm)],[16361, 16360])).
% 8.80/6.32 tff(16363,plain,
% 8.80/6.32 (~((~v107(constB79)) | (~v120(constB79)))),
% 8.80/6.32 inference(unit_resolution,[status(thm)],[16362, 16348])).
% 8.80/6.32 tff(16364,plain,
% 8.80/6.32 ((~(v106(constB79) <=> (~((~v107(constB79)) | (~v120(constB79)))))) | v106(constB79) | ((~v107(constB79)) | (~v120(constB79)))),
% 8.80/6.32 inference(tautology,[status(thm)],[])).
% 8.80/6.32 tff(16365,plain,
% 8.80/6.32 (v106(constB79)),
% 8.80/6.32 inference(unit_resolution,[status(thm)],[16364, 16363, 6152])).
% 8.80/6.32 tff(16366,plain,
% 8.80/6.32 ((v105(constB79) | v106(constB79)) | (~v106(constB79))),
% 8.80/6.32 inference(tautology,[status(thm)],[])).
% 8.80/6.32 tff(16367,plain,
% 8.80/6.32 (v105(constB79) | v106(constB79)),
% 8.80/6.32 inference(unit_resolution,[status(thm)],[16366, 16365])).
% 8.80/6.32 tff(16368,plain,
% 8.80/6.32 ((~(v102(constB79) <=> (v105(constB79) | v106(constB79)))) | v102(constB79) | (~(v105(constB79) | v106(constB79)))),
% 8.80/6.32 inference(tautology,[status(thm)],[])).
% 8.80/6.32 tff(16369,plain,
% 8.80/6.32 (v102(constB79)),
% 8.80/6.32 inference(unit_resolution,[status(thm)],[16368, 16367, 6150])).
% 8.80/6.32 tff(16370,plain,
% 8.80/6.32 ((~(v104(constB80) <=> v102(constB79))) | v104(constB80) | (~v102(constB79))),
% 8.80/6.32 inference(tautology,[status(thm)],[])).
% 8.80/6.32 tff(16371,plain,
% 8.80/6.32 (v104(constB80)),
% 8.80/6.32 inference(unit_resolution,[status(thm)],[16370, 16369, 6148])).
% 8.80/6.32 tff(16372,plain,
% 8.80/6.32 ((~((~v104(constB80)) | (~v95(constB80)))) | (~v104(constB80)) | (~v95(constB80))),
% 8.80/6.32 inference(tautology,[status(thm)],[])).
% 8.80/6.32 tff(16373,plain,
% 8.80/6.32 (~((~v104(constB80)) | (~v95(constB80)))),
% 8.80/6.32 inference(unit_resolution,[status(thm)],[16372, 16371, 6144])).
% 8.80/6.32 tff(16374,plain,
% 8.80/6.32 ((~(v94(constB80) <=> (~((~v104(constB80)) | (~v95(constB80)))))) | v94(constB80) | ((~v104(constB80)) | (~v95(constB80)))),
% 8.80/6.32 inference(tautology,[status(thm)],[])).
% 8.80/6.32 tff(16375,plain,
% 8.80/6.32 (v94(constB80)),
% 8.80/6.32 inference(unit_resolution,[status(thm)],[16374, 16373, 6113])).
% 8.80/6.32 tff(16376,plain,
% 8.80/6.32 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB80)) | ![B: $i] : ((~less_3(B)) | (v84(constB80, B) <=> v123(constB80, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB80)) | ![B: $i] : ((~less_3(B)) | (v84(constB80, B) <=> v123(constB80, B))))),
% 8.80/6.32 inference(rewrite,[status(thm)],[])).
% 8.80/6.32 tff(16377,plain,
% 8.80/6.32 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB80)) | ![B: $i] : ((~less_3(B)) | (v84(constB80, B) <=> v123(constB80, B))))),
% 8.80/6.32 inference(quant_inst,[status(thm)],[])).
% 8.80/6.32 tff(16378,plain,
% 8.80/6.32 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB80)) | ![B: $i] : ((~less_3(B)) | (v84(constB80, B) <=> v123(constB80, B)))),
% 8.80/6.32 inference(modus_ponens,[status(thm)],[16377, 16376])).
% 8.80/6.32 tff(16379,plain,
% 8.80/6.32 ((~v94(constB80)) | ![B: $i] : ((~less_3(B)) | (v84(constB80, B) <=> v123(constB80, B)))),
% 8.80/6.32 inference(unit_resolution,[status(thm)],[16378, 9902])).
% 8.80/6.32 tff(16380,plain,
% 8.80/6.32 (![B: $i] : ((~less_3(B)) | (v84(constB80, B) <=> v123(constB80, B)))),
% 8.80/6.32 inference(unit_resolution,[status(thm)],[16379, 16375])).
% 8.80/6.32 tff(16381,plain,
% 8.80/6.32 (((~![B: $i] : ((~less_3(B)) | (v84(constB80, B) <=> v123(constB80, B)))) | ((~less_3(bitIndex2)) | (v84(constB80, bitIndex2) <=> v123(constB80, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB80, B) <=> v123(constB80, B)))) | (~less_3(bitIndex2)) | (v84(constB80, bitIndex2) <=> v123(constB80, bitIndex2)))),
% 8.80/6.32 inference(rewrite,[status(thm)],[])).
% 8.80/6.32 tff(16382,plain,
% 8.80/6.32 ((~![B: $i] : ((~less_3(B)) | (v84(constB80, B) <=> v123(constB80, B)))) | ((~less_3(bitIndex2)) | (v84(constB80, bitIndex2) <=> v123(constB80, bitIndex2)))),
% 8.80/6.32 inference(quant_inst,[status(thm)],[])).
% 8.80/6.32 tff(16383,plain,
% 8.80/6.32 ((~![B: $i] : ((~less_3(B)) | (v84(constB80, B) <=> v123(constB80, B)))) | (~less_3(bitIndex2)) | (v84(constB80, bitIndex2) <=> v123(constB80, bitIndex2))),
% 8.80/6.32 inference(modus_ponens,[status(thm)],[16382, 16381])).
% 8.80/6.32 tff(16384,plain,
% 8.80/6.32 (v84(constB80, bitIndex2) <=> v123(constB80, bitIndex2)),
% 8.80/6.32 inference(unit_resolution,[status(thm)],[16383, 832, 16380])).
% 8.80/6.32 tff(16385,plain,
% 8.80/6.32 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB79, constB80)) | ![B: $i] : ((~less_3(B)) | (v123(constB80, B) <=> v121(constB79, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB79, constB80)) | ![B: $i] : ((~less_3(B)) | (v123(constB80, B) <=> v121(constB79, B))))),
% 8.80/6.32 inference(rewrite,[status(thm)],[])).
% 8.80/6.32 tff(16386,plain,
% 8.80/6.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB79, constB80)) | ![B: $i] : ((~less_3(B)) | (v123(constB80, B) <=> v121(constB79, B))))),
% 8.80/6.32 inference(quant_inst,[status(thm)],[])).
% 8.80/6.32 tff(16387,plain,
% 8.80/6.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB79, constB80)) | ![B: $i] : ((~less_3(B)) | (v123(constB80, B) <=> v121(constB79, B)))),
% 8.80/6.32 inference(modus_ponens,[status(thm)],[16386, 16385])).
% 8.80/6.32 tff(16388,plain,
% 8.80/6.32 (![B: $i] : ((~less_3(B)) | (v123(constB80, B) <=> v121(constB79, B)))),
% 8.80/6.32 inference(unit_resolution,[status(thm)],[16387, 6109, 9924])).
% 8.80/6.32 tff(16389,plain,
% 8.80/6.32 (((~![B: $i] : ((~less_3(B)) | (v123(constB80, B) <=> v121(constB79, B)))) | ((~less_3(bitIndex2)) | (v123(constB80, bitIndex2) <=> v121(constB79, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB80, B) <=> v121(constB79, B)))) | (~less_3(bitIndex2)) | (v123(constB80, bitIndex2) <=> v121(constB79, bitIndex2)))),
% 8.80/6.32 inference(rewrite,[status(thm)],[])).
% 8.80/6.32 tff(16390,plain,
% 8.80/6.32 ((~![B: $i] : ((~less_3(B)) | (v123(constB80, B) <=> v121(constB79, B)))) | ((~less_3(bitIndex2)) | (v123(constB80, bitIndex2) <=> v121(constB79, bitIndex2)))),
% 8.80/6.32 inference(quant_inst,[status(thm)],[])).
% 8.80/6.32 tff(16391,plain,
% 8.80/6.32 ((~![B: $i] : ((~less_3(B)) | (v123(constB80, B) <=> v121(constB79, B)))) | (~less_3(bitIndex2)) | (v123(constB80, bitIndex2) <=> v121(constB79, bitIndex2))),
% 8.80/6.32 inference(modus_ponens,[status(thm)],[16390, 16389])).
% 8.80/6.32 tff(16392,plain,
% 8.80/6.32 (v123(constB80, bitIndex2) <=> v121(constB79, bitIndex2)),
% 8.80/6.32 inference(unit_resolution,[status(thm)],[16391, 832, 16388])).
% 8.80/6.32 tff(16393,plain,
% 8.80/6.32 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB79) | ![B: $i] : ((~less_3(B)) | (v121(constB79, B) <=> v124(constB79, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB79) | ![B: $i] : ((~less_3(B)) | (v121(constB79, B) <=> v124(constB79, B))))),
% 8.80/6.32 inference(rewrite,[status(thm)],[])).
% 8.80/6.32 tff(16394,plain,
% 8.80/6.32 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB79) | ![B: $i] : ((~less_3(B)) | (v121(constB79, B) <=> v124(constB79, B))))),
% 8.80/6.32 inference(quant_inst,[status(thm)],[])).
% 8.80/6.32 tff(16395,plain,
% 8.80/6.32 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB79) | ![B: $i] : ((~less_3(B)) | (v121(constB79, B) <=> v124(constB79, B)))),
% 8.80/6.32 inference(modus_ponens,[status(thm)],[16394, 16393])).
% 8.80/6.32 tff(16396,plain,
% 8.80/6.32 (![B: $i] : ((~less_3(B)) | (v121(constB79, B) <=> v124(constB79, B)))),
% 8.80/6.32 inference(unit_resolution,[status(thm)],[16395, 9945, 16357])).
% 8.80/6.32 tff(16397,plain,
% 8.80/6.32 (((~![B: $i] : ((~less_3(B)) | (v121(constB79, B) <=> v124(constB79, B)))) | ((~less_3(bitIndex2)) | (v121(constB79, bitIndex2) <=> v124(constB79, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB79, B) <=> v124(constB79, B)))) | (~less_3(bitIndex2)) | (v121(constB79, bitIndex2) <=> v124(constB79, bitIndex2)))),
% 8.80/6.32 inference(rewrite,[status(thm)],[])).
% 8.80/6.32 tff(16398,plain,
% 8.80/6.32 ((~![B: $i] : ((~less_3(B)) | (v121(constB79, B) <=> v124(constB79, B)))) | ((~less_3(bitIndex2)) | (v121(constB79, bitIndex2) <=> v124(constB79, bitIndex2)))),
% 8.80/6.32 inference(quant_inst,[status(thm)],[])).
% 8.80/6.32 tff(16399,plain,
% 8.80/6.32 ((~![B: $i] : ((~less_3(B)) | (v121(constB79, B) <=> v124(constB79, B)))) | (~less_3(bitIndex2)) | (v121(constB79, bitIndex2) <=> v124(constB79, bitIndex2))),
% 8.80/6.32 inference(modus_ponens,[status(thm)],[16398, 16397])).
% 8.80/6.32 tff(16400,plain,
% 8.80/6.32 (v121(constB79, bitIndex2) <=> v124(constB79, bitIndex2)),
% 8.80/6.32 inference(unit_resolution,[status(thm)],[16399, 832, 16396])).
% 8.80/6.32 tff(16401,plain,
% 8.80/6.32 (((~![VarCurr: $i] : ((~v116(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b100(B))))) | ((~v116(constB79)) | ![B: $i] : ((~less_3(B)) | (v124(constB79, B) <=> b100(B))))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b100(B))))) | (~v116(constB79)) | ![B: $i] : ((~less_3(B)) | (v124(constB79, B) <=> b100(B))))),
% 8.80/6.32 inference(rewrite,[status(thm)],[])).
% 8.80/6.32 tff(16402,plain,
% 8.80/6.32 ((~![VarCurr: $i] : ((~v116(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b100(B))))) | ((~v116(constB79)) | ![B: $i] : ((~less_3(B)) | (v124(constB79, B) <=> b100(B))))),
% 8.80/6.32 inference(quant_inst,[status(thm)],[])).
% 8.80/6.32 tff(16403,plain,
% 8.80/6.32 ((~![VarCurr: $i] : ((~v116(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b100(B))))) | (~v116(constB79)) | ![B: $i] : ((~less_3(B)) | (v124(constB79, B) <=> b100(B)))),
% 8.80/6.32 inference(modus_ponens,[status(thm)],[16402, 16401])).
% 8.80/6.32 tff(16404,plain,
% 8.80/6.32 ((~v116(constB79)) | ![B: $i] : ((~less_3(B)) | (v124(constB79, B) <=> b100(B)))),
% 8.80/6.32 inference(unit_resolution,[status(thm)],[16403, 10505])).
% 8.80/6.32 tff(16405,plain,
% 8.80/6.32 (![B: $i] : ((~less_3(B)) | (v124(constB79, B) <=> b100(B)))),
% 8.80/6.32 inference(unit_resolution,[status(thm)],[16404, 16332])).
% 8.80/6.32 tff(16406,plain,
% 8.80/6.32 (((~![B: $i] : ((~less_3(B)) | (v124(constB79, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v124(constB79, bitIndex2) <=> b100(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB79, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v124(constB79, bitIndex2) <=> b100(bitIndex2)))),
% 8.80/6.32 inference(rewrite,[status(thm)],[])).
% 8.80/6.32 tff(16407,plain,
% 8.80/6.32 ((~![B: $i] : ((~less_3(B)) | (v124(constB79, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v124(constB79, bitIndex2) <=> b100(bitIndex2)))),
% 8.80/6.32 inference(quant_inst,[status(thm)],[])).
% 8.80/6.32 tff(16408,plain,
% 8.80/6.32 ((~![B: $i] : ((~less_3(B)) | (v124(constB79, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v124(constB79, bitIndex2) <=> b100(bitIndex2))),
% 8.80/6.32 inference(modus_ponens,[status(thm)],[16407, 16406])).
% 8.80/6.32 tff(16409,plain,
% 8.80/6.32 (v124(constB79, bitIndex2) <=> b100(bitIndex2)),
% 8.80/6.32 inference(unit_resolution,[status(thm)],[16408, 832, 16405])).
% 8.80/6.32 tff(16410,plain,
% 8.80/6.32 ((~(v124(constB79, bitIndex2) <=> b100(bitIndex2))) | v124(constB79, bitIndex2) | (~b100(bitIndex2))),
% 8.80/6.32 inference(tautology,[status(thm)],[])).
% 8.80/6.32 tff(16411,plain,
% 8.80/6.32 ((~(v124(constB79, bitIndex2) <=> b100(bitIndex2))) | v124(constB79, bitIndex2)),
% 8.80/6.32 inference(unit_resolution,[status(thm)],[16410, 10517])).
% 8.80/6.32 tff(16412,plain,
% 8.80/6.32 (v124(constB79, bitIndex2)),
% 8.80/6.32 inference(unit_resolution,[status(thm)],[16411, 16409])).
% 8.80/6.32 tff(16413,plain,
% 8.80/6.32 ((~(v121(constB79, bitIndex2) <=> v124(constB79, bitIndex2))) | v121(constB79, bitIndex2) | (~v124(constB79, bitIndex2))),
% 8.80/6.32 inference(tautology,[status(thm)],[])).
% 8.80/6.32 tff(16414,plain,
% 8.80/6.32 (v121(constB79, bitIndex2)),
% 8.80/6.32 inference(unit_resolution,[status(thm)],[16413, 16412, 16400])).
% 8.80/6.32 tff(16415,plain,
% 8.80/6.32 ((~(v123(constB80, bitIndex2) <=> v121(constB79, bitIndex2))) | v123(constB80, bitIndex2) | (~v121(constB79, bitIndex2))),
% 8.80/6.32 inference(tautology,[status(thm)],[])).
% 8.80/6.32 tff(16416,plain,
% 8.80/6.32 (v123(constB80, bitIndex2)),
% 8.80/6.32 inference(unit_resolution,[status(thm)],[16415, 16414, 16392])).
% 8.80/6.32 tff(16417,plain,
% 8.80/6.32 ((~(v84(constB80, bitIndex2) <=> v123(constB80, bitIndex2))) | v84(constB80, bitIndex2) | (~v123(constB80, bitIndex2))),
% 8.80/6.32 inference(tautology,[status(thm)],[])).
% 8.80/6.32 tff(16418,plain,
% 8.80/6.32 (v84(constB80, bitIndex2)),
% 8.80/6.32 inference(unit_resolution,[status(thm)],[16417, 16416, 16384])).
% 8.80/6.32 tff(16419,plain,
% 8.80/6.32 ((~(v84(constB81, bitIndex2) <=> v84(constB80, bitIndex2))) | v84(constB81, bitIndex2) | (~v84(constB80, bitIndex2))),
% 8.80/6.32 inference(tautology,[status(thm)],[])).
% 8.80/6.32 tff(16420,plain,
% 8.80/6.32 (v84(constB81, bitIndex2)),
% 8.80/6.32 inference(unit_resolution,[status(thm)],[16419, 16418, 6106])).
% 8.80/6.32 tff(16421,plain,
% 8.80/6.32 (((~![B: $i] : ((~less_3(B)) | (v84(constB81, B) <=> v84(constB80, B)))) | ((~less_3(bitIndex0)) | (v84(constB81, bitIndex0) <=> v84(constB80, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB81, B) <=> v84(constB80, B)))) | (~less_3(bitIndex0)) | (v84(constB81, bitIndex0) <=> v84(constB80, bitIndex0)))),
% 8.80/6.32 inference(rewrite,[status(thm)],[])).
% 8.80/6.32 tff(16422,plain,
% 8.80/6.32 ((~![B: $i] : ((~less_3(B)) | (v84(constB81, B) <=> v84(constB80, B)))) | ((~less_3(bitIndex0)) | (v84(constB81, bitIndex0) <=> v84(constB80, bitIndex0)))),
% 8.80/6.32 inference(quant_inst,[status(thm)],[])).
% 8.80/6.32 tff(16423,plain,
% 8.80/6.32 ((~![B: $i] : ((~less_3(B)) | (v84(constB81, B) <=> v84(constB80, B)))) | (~less_3(bitIndex0)) | (v84(constB81, bitIndex0) <=> v84(constB80, bitIndex0))),
% 8.80/6.32 inference(modus_ponens,[status(thm)],[16422, 16421])).
% 8.80/6.32 tff(16424,plain,
% 8.80/6.32 (v84(constB81, bitIndex0) <=> v84(constB80, bitIndex0)),
% 8.80/6.32 inference(unit_resolution,[status(thm)],[16423, 9772, 6102])).
% 8.80/6.32 tff(16425,plain,
% 8.80/6.32 (((~![B: $i] : ((~less_3(B)) | (v84(constB80, B) <=> v123(constB80, B)))) | ((~less_3(bitIndex0)) | (v84(constB80, bitIndex0) <=> v123(constB80, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB80, B) <=> v123(constB80, B)))) | (~less_3(bitIndex0)) | (v84(constB80, bitIndex0) <=> v123(constB80, bitIndex0)))),
% 8.80/6.32 inference(rewrite,[status(thm)],[])).
% 8.80/6.32 tff(16426,plain,
% 8.80/6.32 ((~![B: $i] : ((~less_3(B)) | (v84(constB80, B) <=> v123(constB80, B)))) | ((~less_3(bitIndex0)) | (v84(constB80, bitIndex0) <=> v123(constB80, bitIndex0)))),
% 8.80/6.32 inference(quant_inst,[status(thm)],[])).
% 8.80/6.32 tff(16427,plain,
% 8.80/6.32 ((~![B: $i] : ((~less_3(B)) | (v84(constB80, B) <=> v123(constB80, B)))) | (~less_3(bitIndex0)) | (v84(constB80, bitIndex0) <=> v123(constB80, bitIndex0))),
% 8.80/6.32 inference(modus_ponens,[status(thm)],[16426, 16425])).
% 8.80/6.32 tff(16428,plain,
% 8.80/6.32 (v84(constB80, bitIndex0) <=> v123(constB80, bitIndex0)),
% 8.80/6.32 inference(unit_resolution,[status(thm)],[16427, 9772, 16380])).
% 8.80/6.32 tff(16429,plain,
% 8.80/6.32 (((~![B: $i] : ((~less_3(B)) | (v123(constB80, B) <=> v121(constB79, B)))) | ((~less_3(bitIndex0)) | (v123(constB80, bitIndex0) <=> v121(constB79, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB80, B) <=> v121(constB79, B)))) | (~less_3(bitIndex0)) | (v123(constB80, bitIndex0) <=> v121(constB79, bitIndex0)))),
% 8.80/6.32 inference(rewrite,[status(thm)],[])).
% 8.80/6.32 tff(16430,plain,
% 8.80/6.32 ((~![B: $i] : ((~less_3(B)) | (v123(constB80, B) <=> v121(constB79, B)))) | ((~less_3(bitIndex0)) | (v123(constB80, bitIndex0) <=> v121(constB79, bitIndex0)))),
% 8.80/6.32 inference(quant_inst,[status(thm)],[])).
% 8.80/6.32 tff(16431,plain,
% 8.80/6.32 ((~![B: $i] : ((~less_3(B)) | (v123(constB80, B) <=> v121(constB79, B)))) | (~less_3(bitIndex0)) | (v123(constB80, bitIndex0) <=> v121(constB79, bitIndex0))),
% 8.80/6.32 inference(modus_ponens,[status(thm)],[16430, 16429])).
% 8.80/6.32 tff(16432,plain,
% 8.80/6.32 (v123(constB80, bitIndex0) <=> v121(constB79, bitIndex0)),
% 8.80/6.32 inference(unit_resolution,[status(thm)],[16431, 9772, 16388])).
% 8.80/6.32 tff(16433,plain,
% 8.80/6.32 (((~![B: $i] : ((~less_3(B)) | (v121(constB79, B) <=> v124(constB79, B)))) | ((~less_3(bitIndex0)) | (v121(constB79, bitIndex0) <=> v124(constB79, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB79, B) <=> v124(constB79, B)))) | (~less_3(bitIndex0)) | (v121(constB79, bitIndex0) <=> v124(constB79, bitIndex0)))),
% 8.80/6.32 inference(rewrite,[status(thm)],[])).
% 8.80/6.32 tff(16434,plain,
% 8.80/6.32 ((~![B: $i] : ((~less_3(B)) | (v121(constB79, B) <=> v124(constB79, B)))) | ((~less_3(bitIndex0)) | (v121(constB79, bitIndex0) <=> v124(constB79, bitIndex0)))),
% 8.80/6.32 inference(quant_inst,[status(thm)],[])).
% 8.80/6.32 tff(16435,plain,
% 8.80/6.32 ((~![B: $i] : ((~less_3(B)) | (v121(constB79, B) <=> v124(constB79, B)))) | (~less_3(bitIndex0)) | (v121(constB79, bitIndex0) <=> v124(constB79, bitIndex0))),
% 8.80/6.32 inference(modus_ponens,[status(thm)],[16434, 16433])).
% 8.80/6.32 tff(16436,plain,
% 8.80/6.32 (v121(constB79, bitIndex0) <=> v124(constB79, bitIndex0)),
% 8.80/6.32 inference(unit_resolution,[status(thm)],[16435, 9772, 16396])).
% 8.80/6.32 tff(16437,plain,
% 8.80/6.32 (((~![B: $i] : ((~less_3(B)) | (v124(constB79, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v124(constB79, bitIndex0) <=> b100(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB79, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v124(constB79, bitIndex0) <=> b100(bitIndex0)))),
% 8.80/6.32 inference(rewrite,[status(thm)],[])).
% 8.80/6.32 tff(16438,plain,
% 8.80/6.32 ((~![B: $i] : ((~less_3(B)) | (v124(constB79, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v124(constB79, bitIndex0) <=> b100(bitIndex0)))),
% 8.80/6.32 inference(quant_inst,[status(thm)],[])).
% 8.80/6.32 tff(16439,plain,
% 8.80/6.32 ((~![B: $i] : ((~less_3(B)) | (v124(constB79, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v124(constB79, bitIndex0) <=> b100(bitIndex0))),
% 8.80/6.32 inference(modus_ponens,[status(thm)],[16438, 16437])).
% 8.80/6.32 tff(16440,plain,
% 8.80/6.32 (v124(constB79, bitIndex0) <=> b100(bitIndex0)),
% 8.80/6.32 inference(unit_resolution,[status(thm)],[16439, 9772, 16405])).
% 8.80/6.32 tff(16441,plain,
% 8.80/6.32 ((~(v124(constB79, bitIndex0) <=> b100(bitIndex0))) | (~v124(constB79, bitIndex0)) | b100(bitIndex0)),
% 8.80/6.32 inference(tautology,[status(thm)],[])).
% 8.80/6.32 tff(16442,plain,
% 8.80/6.32 ((~(v124(constB79, bitIndex0) <=> b100(bitIndex0))) | (~v124(constB79, bitIndex0))),
% 8.80/6.32 inference(unit_resolution,[status(thm)],[16441, 10551])).
% 8.80/6.32 tff(16443,plain,
% 8.80/6.32 (~v124(constB79, bitIndex0)),
% 8.80/6.32 inference(unit_resolution,[status(thm)],[16442, 16440])).
% 8.80/6.32 tff(16444,plain,
% 8.80/6.32 ((~(v121(constB79, bitIndex0) <=> v124(constB79, bitIndex0))) | (~v121(constB79, bitIndex0)) | v124(constB79, bitIndex0)),
% 8.80/6.32 inference(tautology,[status(thm)],[])).
% 8.80/6.32 tff(16445,plain,
% 8.80/6.32 (~v121(constB79, bitIndex0)),
% 8.80/6.32 inference(unit_resolution,[status(thm)],[16444, 16443, 16436])).
% 8.80/6.32 tff(16446,plain,
% 8.80/6.32 ((~(v123(constB80, bitIndex0) <=> v121(constB79, bitIndex0))) | (~v123(constB80, bitIndex0)) | v121(constB79, bitIndex0)),
% 8.80/6.32 inference(tautology,[status(thm)],[])).
% 8.80/6.32 tff(16447,plain,
% 8.80/6.32 (~v123(constB80, bitIndex0)),
% 8.80/6.32 inference(unit_resolution,[status(thm)],[16446, 16445, 16432])).
% 8.80/6.32 tff(16448,plain,
% 8.80/6.32 ((~(v84(constB80, bitIndex0) <=> v123(constB80, bitIndex0))) | (~v84(constB80, bitIndex0)) | v123(constB80, bitIndex0)),
% 8.80/6.32 inference(tautology,[status(thm)],[])).
% 8.80/6.32 tff(16449,plain,
% 8.80/6.32 (~v84(constB80, bitIndex0)),
% 8.80/6.32 inference(unit_resolution,[status(thm)],[16448, 16447, 16428])).
% 8.80/6.32 tff(16450,plain,
% 8.80/6.32 ((~(v84(constB81, bitIndex0) <=> v84(constB80, bitIndex0))) | (~v84(constB81, bitIndex0)) | v84(constB80, bitIndex0)),
% 8.80/6.32 inference(tautology,[status(thm)],[])).
% 8.80/6.32 tff(16451,plain,
% 8.80/6.32 (~v84(constB81, bitIndex0)),
% 8.80/6.32 inference(unit_resolution,[status(thm)],[16450, 16449, 16424])).
% 8.80/6.32 tff(16452,plain,
% 8.80/6.32 (((~![B: $i] : ((~less_3(B)) | (v84(constB81, B) <=> v84(constB80, B)))) | ((~less_3(bitIndex1)) | (v84(constB81, bitIndex1) <=> v84(constB80, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB81, B) <=> v84(constB80, B)))) | (~less_3(bitIndex1)) | (v84(constB81, bitIndex1) <=> v84(constB80, bitIndex1)))),
% 8.80/6.32 inference(rewrite,[status(thm)],[])).
% 8.80/6.32 tff(16453,plain,
% 8.80/6.32 ((~![B: $i] : ((~less_3(B)) | (v84(constB81, B) <=> v84(constB80, B)))) | ((~less_3(bitIndex1)) | (v84(constB81, bitIndex1) <=> v84(constB80, bitIndex1)))),
% 8.80/6.32 inference(quant_inst,[status(thm)],[])).
% 8.80/6.32 tff(16454,plain,
% 8.80/6.32 ((~![B: $i] : ((~less_3(B)) | (v84(constB81, B) <=> v84(constB80, B)))) | (~less_3(bitIndex1)) | (v84(constB81, bitIndex1) <=> v84(constB80, bitIndex1))),
% 8.80/6.32 inference(modus_ponens,[status(thm)],[16453, 16452])).
% 8.80/6.32 tff(16455,plain,
% 8.80/6.32 (v84(constB81, bitIndex1) <=> v84(constB80, bitIndex1)),
% 8.80/6.32 inference(unit_resolution,[status(thm)],[16454, 9785, 6102])).
% 8.80/6.32 tff(16456,plain,
% 8.80/6.32 (((~![B: $i] : ((~less_3(B)) | (v84(constB80, B) <=> v123(constB80, B)))) | ((~less_3(bitIndex1)) | (v84(constB80, bitIndex1) <=> v123(constB80, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB80, B) <=> v123(constB80, B)))) | (~less_3(bitIndex1)) | (v84(constB80, bitIndex1) <=> v123(constB80, bitIndex1)))),
% 8.80/6.32 inference(rewrite,[status(thm)],[])).
% 8.80/6.32 tff(16457,plain,
% 8.80/6.32 ((~![B: $i] : ((~less_3(B)) | (v84(constB80, B) <=> v123(constB80, B)))) | ((~less_3(bitIndex1)) | (v84(constB80, bitIndex1) <=> v123(constB80, bitIndex1)))),
% 8.80/6.32 inference(quant_inst,[status(thm)],[])).
% 8.80/6.32 tff(16458,plain,
% 8.80/6.32 ((~![B: $i] : ((~less_3(B)) | (v84(constB80, B) <=> v123(constB80, B)))) | (~less_3(bitIndex1)) | (v84(constB80, bitIndex1) <=> v123(constB80, bitIndex1))),
% 8.80/6.32 inference(modus_ponens,[status(thm)],[16457, 16456])).
% 8.80/6.32 tff(16459,plain,
% 8.80/6.32 (v84(constB80, bitIndex1) <=> v123(constB80, bitIndex1)),
% 8.80/6.32 inference(unit_resolution,[status(thm)],[16458, 9785, 16380])).
% 8.80/6.32 tff(16460,plain,
% 8.80/6.32 (((~![B: $i] : ((~less_3(B)) | (v123(constB80, B) <=> v121(constB79, B)))) | ((~less_3(bitIndex1)) | (v123(constB80, bitIndex1) <=> v121(constB79, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB80, B) <=> v121(constB79, B)))) | (~less_3(bitIndex1)) | (v123(constB80, bitIndex1) <=> v121(constB79, bitIndex1)))),
% 8.80/6.32 inference(rewrite,[status(thm)],[])).
% 8.80/6.32 tff(16461,plain,
% 8.80/6.33 ((~![B: $i] : ((~less_3(B)) | (v123(constB80, B) <=> v121(constB79, B)))) | ((~less_3(bitIndex1)) | (v123(constB80, bitIndex1) <=> v121(constB79, bitIndex1)))),
% 8.80/6.33 inference(quant_inst,[status(thm)],[])).
% 8.80/6.33 tff(16462,plain,
% 8.80/6.33 ((~![B: $i] : ((~less_3(B)) | (v123(constB80, B) <=> v121(constB79, B)))) | (~less_3(bitIndex1)) | (v123(constB80, bitIndex1) <=> v121(constB79, bitIndex1))),
% 8.80/6.33 inference(modus_ponens,[status(thm)],[16461, 16460])).
% 8.80/6.33 tff(16463,plain,
% 8.80/6.33 (v123(constB80, bitIndex1) <=> v121(constB79, bitIndex1)),
% 8.80/6.33 inference(unit_resolution,[status(thm)],[16462, 9785, 16388])).
% 8.80/6.33 tff(16464,plain,
% 8.80/6.33 (((~![B: $i] : ((~less_3(B)) | (v121(constB79, B) <=> v124(constB79, B)))) | ((~less_3(bitIndex1)) | (v121(constB79, bitIndex1) <=> v124(constB79, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB79, B) <=> v124(constB79, B)))) | (~less_3(bitIndex1)) | (v121(constB79, bitIndex1) <=> v124(constB79, bitIndex1)))),
% 8.80/6.33 inference(rewrite,[status(thm)],[])).
% 8.80/6.33 tff(16465,plain,
% 8.80/6.33 ((~![B: $i] : ((~less_3(B)) | (v121(constB79, B) <=> v124(constB79, B)))) | ((~less_3(bitIndex1)) | (v121(constB79, bitIndex1) <=> v124(constB79, bitIndex1)))),
% 8.80/6.33 inference(quant_inst,[status(thm)],[])).
% 8.80/6.33 tff(16466,plain,
% 8.80/6.33 ((~![B: $i] : ((~less_3(B)) | (v121(constB79, B) <=> v124(constB79, B)))) | (~less_3(bitIndex1)) | (v121(constB79, bitIndex1) <=> v124(constB79, bitIndex1))),
% 8.80/6.33 inference(modus_ponens,[status(thm)],[16465, 16464])).
% 8.80/6.33 tff(16467,plain,
% 8.80/6.33 (v121(constB79, bitIndex1) <=> v124(constB79, bitIndex1)),
% 8.80/6.33 inference(unit_resolution,[status(thm)],[16466, 9785, 16396])).
% 8.80/6.33 tff(16468,plain,
% 8.80/6.33 (((~![B: $i] : ((~less_3(B)) | (v124(constB79, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v124(constB79, bitIndex1) <=> b100(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB79, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v124(constB79, bitIndex1) <=> b100(bitIndex1)))),
% 8.80/6.33 inference(rewrite,[status(thm)],[])).
% 8.80/6.33 tff(16469,plain,
% 8.80/6.33 ((~![B: $i] : ((~less_3(B)) | (v124(constB79, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v124(constB79, bitIndex1) <=> b100(bitIndex1)))),
% 8.80/6.33 inference(quant_inst,[status(thm)],[])).
% 8.80/6.33 tff(16470,plain,
% 8.80/6.33 ((~![B: $i] : ((~less_3(B)) | (v124(constB79, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v124(constB79, bitIndex1) <=> b100(bitIndex1))),
% 8.80/6.33 inference(modus_ponens,[status(thm)],[16469, 16468])).
% 8.80/6.33 tff(16471,plain,
% 8.80/6.33 (v124(constB79, bitIndex1) <=> b100(bitIndex1)),
% 8.80/6.33 inference(unit_resolution,[status(thm)],[16470, 9785, 16405])).
% 8.80/6.33 tff(16472,plain,
% 8.80/6.33 ((~(v124(constB79, bitIndex1) <=> b100(bitIndex1))) | (~v124(constB79, bitIndex1)) | b100(bitIndex1)),
% 8.80/6.33 inference(tautology,[status(thm)],[])).
% 8.80/6.33 tff(16473,plain,
% 8.80/6.33 ((~(v124(constB79, bitIndex1) <=> b100(bitIndex1))) | (~v124(constB79, bitIndex1))),
% 8.80/6.33 inference(unit_resolution,[status(thm)],[16472, 10585])).
% 8.80/6.33 tff(16474,plain,
% 8.80/6.33 (~v124(constB79, bitIndex1)),
% 8.80/6.33 inference(unit_resolution,[status(thm)],[16473, 16471])).
% 8.80/6.33 tff(16475,plain,
% 8.80/6.33 ((~(v121(constB79, bitIndex1) <=> v124(constB79, bitIndex1))) | (~v121(constB79, bitIndex1)) | v124(constB79, bitIndex1)),
% 8.80/6.33 inference(tautology,[status(thm)],[])).
% 8.80/6.33 tff(16476,plain,
% 8.80/6.33 (~v121(constB79, bitIndex1)),
% 8.80/6.33 inference(unit_resolution,[status(thm)],[16475, 16474, 16467])).
% 8.80/6.33 tff(16477,plain,
% 8.80/6.33 ((~(v123(constB80, bitIndex1) <=> v121(constB79, bitIndex1))) | (~v123(constB80, bitIndex1)) | v121(constB79, bitIndex1)),
% 8.80/6.33 inference(tautology,[status(thm)],[])).
% 8.80/6.33 tff(16478,plain,
% 8.80/6.33 (~v123(constB80, bitIndex1)),
% 8.80/6.33 inference(unit_resolution,[status(thm)],[16477, 16476, 16463])).
% 8.80/6.33 tff(16479,plain,
% 8.80/6.33 ((~(v84(constB80, bitIndex1) <=> v123(constB80, bitIndex1))) | (~v84(constB80, bitIndex1)) | v123(constB80, bitIndex1)),
% 8.80/6.33 inference(tautology,[status(thm)],[])).
% 8.80/6.33 tff(16480,plain,
% 8.80/6.33 (~v84(constB80, bitIndex1)),
% 8.80/6.33 inference(unit_resolution,[status(thm)],[16479, 16478, 16459])).
% 8.80/6.33 tff(16481,plain,
% 8.80/6.33 ((~(v84(constB81, bitIndex1) <=> v84(constB80, bitIndex1))) | (~v84(constB81, bitIndex1)) | v84(constB80, bitIndex1)),
% 8.80/6.33 inference(tautology,[status(thm)],[])).
% 8.80/6.33 tff(16482,plain,
% 8.80/6.33 (~v84(constB81, bitIndex1)),
% 8.80/6.33 inference(unit_resolution,[status(thm)],[16481, 16480, 16455])).
% 8.80/6.33 tff(16483,plain,
% 8.80/6.33 ((~((~v84(constB81, bitIndex2)) | v84(constB81, bitIndex1) | v84(constB81, bitIndex0))) | (~v84(constB81, bitIndex2)) | v84(constB81, bitIndex1) | v84(constB81, bitIndex0)),
% 8.80/6.33 inference(tautology,[status(thm)],[])).
% 8.80/6.33 tff(16484,plain,
% 8.80/6.33 (~((~v84(constB81, bitIndex2)) | v84(constB81, bitIndex1) | v84(constB81, bitIndex0))),
% 8.80/6.33 inference(unit_resolution,[status(thm)],[16483, 16482, 16451, 16420])).
% 8.80/6.33 tff(16485,plain,
% 8.80/6.33 ((~(v117(constB81) <=> (~((~v84(constB81, bitIndex2)) | v84(constB81, bitIndex1) | v84(constB81, bitIndex0))))) | v117(constB81) | ((~v84(constB81, bitIndex2)) | v84(constB81, bitIndex1) | v84(constB81, bitIndex0))),
% 8.80/6.33 inference(tautology,[status(thm)],[])).
% 8.80/6.33 tff(16486,plain,
% 8.80/6.33 (v117(constB81)),
% 8.80/6.33 inference(unit_resolution,[status(thm)],[16485, 16484, 6074])).
% 8.80/6.33 tff(16487,plain,
% 8.80/6.33 ((v110(constB81) | v117(constB81)) | (~v117(constB81))),
% 8.80/6.33 inference(tautology,[status(thm)],[])).
% 8.80/6.33 tff(16488,plain,
% 8.80/6.33 (v110(constB81) | v117(constB81)),
% 8.80/6.33 inference(unit_resolution,[status(thm)],[16487, 16486])).
% 8.80/6.33 tff(16489,plain,
% 8.80/6.33 ((~(v109(constB81) <=> (v110(constB81) | v117(constB81)))) | v109(constB81) | (~(v110(constB81) | v117(constB81)))),
% 8.80/6.33 inference(tautology,[status(thm)],[])).
% 8.80/6.33 tff(16490,plain,
% 8.80/6.33 (v109(constB81)),
% 8.80/6.33 inference(unit_resolution,[status(thm)],[16489, 16488, 6067])).
% 8.80/6.33 tff(16491,plain,
% 8.80/6.33 ((v109(constB81) | v118(constB81)) | (~v109(constB81))),
% 8.80/6.33 inference(tautology,[status(thm)],[])).
% 8.80/6.33 tff(16492,plain,
% 8.80/6.33 (v109(constB81) | v118(constB81)),
% 8.80/6.33 inference(unit_resolution,[status(thm)],[16491, 16490])).
% 8.80/6.33 tff(16493,plain,
% 8.80/6.33 ((~(v108(constB81) <=> (v109(constB81) | v118(constB81)))) | v108(constB81) | (~(v109(constB81) | v118(constB81)))),
% 8.80/6.33 inference(tautology,[status(thm)],[])).
% 8.80/6.33 tff(16494,plain,
% 8.80/6.33 (v108(constB81)),
% 8.80/6.33 inference(unit_resolution,[status(thm)],[16493, 16492, 6065])).
% 8.80/6.33 tff(16495,plain,
% 8.80/6.33 ((v108(constB81) | v119(constB81)) | (~v108(constB81))),
% 8.80/6.33 inference(tautology,[status(thm)],[])).
% 8.80/6.33 tff(16496,plain,
% 8.80/6.33 (v108(constB81) | v119(constB81)),
% 8.80/6.33 inference(unit_resolution,[status(thm)],[16495, 16494])).
% 8.80/6.33 tff(16497,plain,
% 8.80/6.33 ((~(v107(constB81) <=> (v108(constB81) | v119(constB81)))) | v107(constB81) | (~(v108(constB81) | v119(constB81)))),
% 8.80/6.33 inference(tautology,[status(thm)],[])).
% 8.80/6.33 tff(16498,plain,
% 8.80/6.33 (v107(constB81)),
% 8.80/6.33 inference(unit_resolution,[status(thm)],[16497, 16496, 6063])).
% 8.80/6.33 tff(16499,plain,
% 8.80/6.33 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB81)) <=> v105(constB81))),
% 8.80/6.33 inference(quant_inst,[status(thm)],[])).
% 8.80/6.33 tff(16500,plain,
% 8.80/6.33 ((~v120(constB81)) <=> v105(constB81)),
% 8.80/6.33 inference(unit_resolution,[status(thm)],[16499, 9842])).
% 8.80/6.33 tff(16501,plain,
% 8.80/6.33 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB81) <=> v26(constB81))),
% 8.80/6.33 inference(quant_inst,[status(thm)],[])).
% 8.80/6.33 tff(16502,plain,
% 8.80/6.33 (v105(constB81) <=> v26(constB81)),
% 8.80/6.33 inference(unit_resolution,[status(thm)],[16501, 9854])).
% 8.80/6.33 tff(16503,plain,
% 8.80/6.33 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB81))),
% 8.80/6.33 inference(quant_inst,[status(thm)],[])).
% 8.80/6.33 tff(16504,plain,
% 8.80/6.33 (~v26(constB81)),
% 8.80/6.33 inference(unit_resolution,[status(thm)],[16503, 9866])).
% 8.80/6.33 tff(16505,plain,
% 8.80/6.33 ((~(v105(constB81) <=> v26(constB81))) | (~v105(constB81)) | v26(constB81)),
% 8.80/6.33 inference(tautology,[status(thm)],[])).
% 8.80/6.33 tff(16506,plain,
% 8.80/6.33 ((~(v105(constB81) <=> v26(constB81))) | (~v105(constB81))),
% 8.80/6.33 inference(unit_resolution,[status(thm)],[16505, 16504])).
% 8.80/6.33 tff(16507,plain,
% 8.80/6.33 (~v105(constB81)),
% 8.80/6.33 inference(unit_resolution,[status(thm)],[16506, 16502])).
% 8.80/6.33 tff(16508,plain,
% 8.80/6.33 ((~((~v120(constB81)) <=> v105(constB81))) | v120(constB81) | v105(constB81)),
% 8.80/6.33 inference(tautology,[status(thm)],[])).
% 8.80/6.33 tff(16509,plain,
% 8.80/6.33 ((~((~v120(constB81)) <=> v105(constB81))) | v120(constB81)),
% 8.80/6.33 inference(unit_resolution,[status(thm)],[16508, 16507])).
% 8.80/6.33 tff(16510,plain,
% 8.80/6.33 (v120(constB81)),
% 8.80/6.33 inference(unit_resolution,[status(thm)],[16509, 16500])).
% 8.80/6.33 tff(16511,plain,
% 8.80/6.33 ((~((~v107(constB81)) | (~v120(constB81)))) | (~v107(constB81)) | (~v120(constB81))),
% 8.80/6.33 inference(tautology,[status(thm)],[])).
% 8.80/6.33 tff(16512,plain,
% 8.80/6.33 ((~((~v107(constB81)) | (~v120(constB81)))) | (~v107(constB81))),
% 8.80/6.33 inference(unit_resolution,[status(thm)],[16511, 16510])).
% 8.80/6.33 tff(16513,plain,
% 8.80/6.33 (~((~v107(constB81)) | (~v120(constB81)))),
% 8.80/6.33 inference(unit_resolution,[status(thm)],[16512, 16498])).
% 8.80/6.33 tff(16514,plain,
% 8.80/6.33 ((~(v106(constB81) <=> (~((~v107(constB81)) | (~v120(constB81)))))) | v106(constB81) | ((~v107(constB81)) | (~v120(constB81)))),
% 8.80/6.33 inference(tautology,[status(thm)],[])).
% 8.80/6.33 tff(16515,plain,
% 8.80/6.33 (v106(constB81)),
% 8.80/6.33 inference(unit_resolution,[status(thm)],[16514, 16513, 6061])).
% 8.80/6.33 tff(16516,plain,
% 8.80/6.33 ((v105(constB81) | v106(constB81)) | (~v106(constB81))),
% 8.80/6.33 inference(tautology,[status(thm)],[])).
% 8.80/6.33 tff(16517,plain,
% 8.80/6.33 (v105(constB81) | v106(constB81)),
% 8.80/6.33 inference(unit_resolution,[status(thm)],[16516, 16515])).
% 8.80/6.33 tff(16518,plain,
% 8.80/6.33 ((~(v102(constB81) <=> (v105(constB81) | v106(constB81)))) | v102(constB81) | (~(v105(constB81) | v106(constB81)))),
% 8.80/6.33 inference(tautology,[status(thm)],[])).
% 8.80/6.33 tff(16519,plain,
% 8.80/6.33 (v102(constB81)),
% 8.80/6.33 inference(unit_resolution,[status(thm)],[16518, 16517, 6059])).
% 8.80/6.33 tff(16520,plain,
% 8.80/6.33 ((~(v104(constB82) <=> v102(constB81))) | v104(constB82) | (~v102(constB81))),
% 8.80/6.33 inference(tautology,[status(thm)],[])).
% 8.80/6.33 tff(16521,plain,
% 8.80/6.33 (v104(constB82)),
% 8.80/6.33 inference(unit_resolution,[status(thm)],[16520, 16519, 6057])).
% 8.80/6.33 tff(16522,plain,
% 8.80/6.33 ((~((~v104(constB82)) | (~v95(constB82)))) | (~v104(constB82)) | (~v95(constB82))),
% 8.80/6.33 inference(tautology,[status(thm)],[])).
% 8.80/6.33 tff(16523,plain,
% 8.80/6.33 (~((~v104(constB82)) | (~v95(constB82)))),
% 8.80/6.33 inference(unit_resolution,[status(thm)],[16522, 16521, 6053])).
% 8.80/6.33 tff(16524,plain,
% 8.80/6.33 ((~(v94(constB82) <=> (~((~v104(constB82)) | (~v95(constB82)))))) | v94(constB82) | ((~v104(constB82)) | (~v95(constB82)))),
% 8.80/6.33 inference(tautology,[status(thm)],[])).
% 8.80/6.33 tff(16525,plain,
% 8.80/6.33 (v94(constB82)),
% 8.80/6.33 inference(unit_resolution,[status(thm)],[16524, 16523, 6022])).
% 8.80/6.33 tff(16526,plain,
% 8.80/6.33 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB82)) | ![B: $i] : ((~less_3(B)) | (v84(constB82, B) <=> v123(constB82, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB82)) | ![B: $i] : ((~less_3(B)) | (v84(constB82, B) <=> v123(constB82, B))))),
% 8.80/6.33 inference(rewrite,[status(thm)],[])).
% 8.80/6.33 tff(16527,plain,
% 8.80/6.33 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB82)) | ![B: $i] : ((~less_3(B)) | (v84(constB82, B) <=> v123(constB82, B))))),
% 8.80/6.33 inference(quant_inst,[status(thm)],[])).
% 8.80/6.33 tff(16528,plain,
% 8.80/6.33 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB82)) | ![B: $i] : ((~less_3(B)) | (v84(constB82, B) <=> v123(constB82, B)))),
% 8.80/6.33 inference(modus_ponens,[status(thm)],[16527, 16526])).
% 8.80/6.33 tff(16529,plain,
% 8.80/6.33 ((~v94(constB82)) | ![B: $i] : ((~less_3(B)) | (v84(constB82, B) <=> v123(constB82, B)))),
% 8.80/6.33 inference(unit_resolution,[status(thm)],[16528, 9902])).
% 8.80/6.33 tff(16530,plain,
% 8.80/6.33 (![B: $i] : ((~less_3(B)) | (v84(constB82, B) <=> v123(constB82, B)))),
% 8.80/6.33 inference(unit_resolution,[status(thm)],[16529, 16525])).
% 8.80/6.33 tff(16531,plain,
% 8.80/6.33 (((~![B: $i] : ((~less_3(B)) | (v84(constB82, B) <=> v123(constB82, B)))) | ((~less_3(bitIndex2)) | (v84(constB82, bitIndex2) <=> v123(constB82, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB82, B) <=> v123(constB82, B)))) | (~less_3(bitIndex2)) | (v84(constB82, bitIndex2) <=> v123(constB82, bitIndex2)))),
% 8.80/6.33 inference(rewrite,[status(thm)],[])).
% 8.80/6.33 tff(16532,plain,
% 8.80/6.33 ((~![B: $i] : ((~less_3(B)) | (v84(constB82, B) <=> v123(constB82, B)))) | ((~less_3(bitIndex2)) | (v84(constB82, bitIndex2) <=> v123(constB82, bitIndex2)))),
% 8.80/6.33 inference(quant_inst,[status(thm)],[])).
% 8.80/6.33 tff(16533,plain,
% 8.80/6.33 ((~![B: $i] : ((~less_3(B)) | (v84(constB82, B) <=> v123(constB82, B)))) | (~less_3(bitIndex2)) | (v84(constB82, bitIndex2) <=> v123(constB82, bitIndex2))),
% 8.80/6.33 inference(modus_ponens,[status(thm)],[16532, 16531])).
% 8.80/6.33 tff(16534,plain,
% 8.80/6.33 (v84(constB82, bitIndex2) <=> v123(constB82, bitIndex2)),
% 8.80/6.33 inference(unit_resolution,[status(thm)],[16533, 832, 16530])).
% 8.80/6.33 tff(16535,plain,
% 8.80/6.33 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB81, constB82)) | ![B: $i] : ((~less_3(B)) | (v123(constB82, B) <=> v121(constB81, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB81, constB82)) | ![B: $i] : ((~less_3(B)) | (v123(constB82, B) <=> v121(constB81, B))))),
% 8.80/6.33 inference(rewrite,[status(thm)],[])).
% 8.80/6.33 tff(16536,plain,
% 8.80/6.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB81, constB82)) | ![B: $i] : ((~less_3(B)) | (v123(constB82, B) <=> v121(constB81, B))))),
% 8.80/6.33 inference(quant_inst,[status(thm)],[])).
% 8.80/6.33 tff(16537,plain,
% 8.80/6.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB81, constB82)) | ![B: $i] : ((~less_3(B)) | (v123(constB82, B) <=> v121(constB81, B)))),
% 8.80/6.33 inference(modus_ponens,[status(thm)],[16536, 16535])).
% 8.80/6.33 tff(16538,plain,
% 8.80/6.33 (![B: $i] : ((~less_3(B)) | (v123(constB82, B) <=> v121(constB81, B)))),
% 8.80/6.33 inference(unit_resolution,[status(thm)],[16537, 6018, 9924])).
% 8.80/6.33 tff(16539,plain,
% 8.80/6.33 (((~![B: $i] : ((~less_3(B)) | (v123(constB82, B) <=> v121(constB81, B)))) | ((~less_3(bitIndex2)) | (v123(constB82, bitIndex2) <=> v121(constB81, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB82, B) <=> v121(constB81, B)))) | (~less_3(bitIndex2)) | (v123(constB82, bitIndex2) <=> v121(constB81, bitIndex2)))),
% 8.80/6.33 inference(rewrite,[status(thm)],[])).
% 8.80/6.33 tff(16540,plain,
% 8.80/6.33 ((~![B: $i] : ((~less_3(B)) | (v123(constB82, B) <=> v121(constB81, B)))) | ((~less_3(bitIndex2)) | (v123(constB82, bitIndex2) <=> v121(constB81, bitIndex2)))),
% 8.80/6.33 inference(quant_inst,[status(thm)],[])).
% 8.80/6.33 tff(16541,plain,
% 8.80/6.33 ((~![B: $i] : ((~less_3(B)) | (v123(constB82, B) <=> v121(constB81, B)))) | (~less_3(bitIndex2)) | (v123(constB82, bitIndex2) <=> v121(constB81, bitIndex2))),
% 8.80/6.33 inference(modus_ponens,[status(thm)],[16540, 16539])).
% 8.80/6.33 tff(16542,plain,
% 8.80/6.33 (v123(constB82, bitIndex2) <=> v121(constB81, bitIndex2)),
% 8.80/6.33 inference(unit_resolution,[status(thm)],[16541, 832, 16538])).
% 8.80/6.33 tff(16543,plain,
% 8.80/6.33 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB81) | ![B: $i] : ((~less_3(B)) | (v121(constB81, B) <=> v124(constB81, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB81) | ![B: $i] : ((~less_3(B)) | (v121(constB81, B) <=> v124(constB81, B))))),
% 8.80/6.33 inference(rewrite,[status(thm)],[])).
% 8.80/6.33 tff(16544,plain,
% 8.80/6.33 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB81) | ![B: $i] : ((~less_3(B)) | (v121(constB81, B) <=> v124(constB81, B))))),
% 8.80/6.33 inference(quant_inst,[status(thm)],[])).
% 8.80/6.33 tff(16545,plain,
% 8.80/6.33 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB81) | ![B: $i] : ((~less_3(B)) | (v121(constB81, B) <=> v124(constB81, B)))),
% 8.80/6.33 inference(modus_ponens,[status(thm)],[16544, 16543])).
% 8.80/6.33 tff(16546,plain,
% 8.80/6.33 (![B: $i] : ((~less_3(B)) | (v121(constB81, B) <=> v124(constB81, B)))),
% 8.80/6.33 inference(unit_resolution,[status(thm)],[16545, 9945, 16507])).
% 8.80/6.33 tff(16547,plain,
% 8.80/6.33 (((~![B: $i] : ((~less_3(B)) | (v121(constB81, B) <=> v124(constB81, B)))) | ((~less_3(bitIndex2)) | (v121(constB81, bitIndex2) <=> v124(constB81, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB81, B) <=> v124(constB81, B)))) | (~less_3(bitIndex2)) | (v121(constB81, bitIndex2) <=> v124(constB81, bitIndex2)))),
% 8.80/6.33 inference(rewrite,[status(thm)],[])).
% 8.80/6.33 tff(16548,plain,
% 8.80/6.33 ((~![B: $i] : ((~less_3(B)) | (v121(constB81, B) <=> v124(constB81, B)))) | ((~less_3(bitIndex2)) | (v121(constB81, bitIndex2) <=> v124(constB81, bitIndex2)))),
% 8.80/6.33 inference(quant_inst,[status(thm)],[])).
% 8.80/6.33 tff(16549,plain,
% 8.80/6.33 ((~![B: $i] : ((~less_3(B)) | (v121(constB81, B) <=> v124(constB81, B)))) | (~less_3(bitIndex2)) | (v121(constB81, bitIndex2) <=> v124(constB81, bitIndex2))),
% 8.80/6.33 inference(modus_ponens,[status(thm)],[16548, 16547])).
% 8.80/6.33 tff(16550,plain,
% 8.80/6.33 (v121(constB81, bitIndex2) <=> v124(constB81, bitIndex2)),
% 8.80/6.33 inference(unit_resolution,[status(thm)],[16549, 832, 16546])).
% 8.80/6.33 tff(16551,plain,
% 8.80/6.33 (((~![VarCurr: $i] : ((~v117(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b101(B))))) | ((~v117(constB81)) | ![B: $i] : ((~less_3(B)) | (v124(constB81, B) <=> b101(B))))) <=> ((~![VarCurr: $i] : ((~v117(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b101(B))))) | (~v117(constB81)) | ![B: $i] : ((~less_3(B)) | (v124(constB81, B) <=> b101(B))))),
% 8.80/6.33 inference(rewrite,[status(thm)],[])).
% 8.80/6.33 tff(16552,plain,
% 8.80/6.33 ((~![VarCurr: $i] : ((~v117(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b101(B))))) | ((~v117(constB81)) | ![B: $i] : ((~less_3(B)) | (v124(constB81, B) <=> b101(B))))),
% 8.80/6.33 inference(quant_inst,[status(thm)],[])).
% 8.80/6.33 tff(16553,plain,
% 8.80/6.33 ((~![VarCurr: $i] : ((~v117(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b101(B))))) | (~v117(constB81)) | ![B: $i] : ((~less_3(B)) | (v124(constB81, B) <=> b101(B)))),
% 8.80/6.33 inference(modus_ponens,[status(thm)],[16552, 16551])).
% 8.80/6.33 tff(16554,plain,
% 8.80/6.33 ((~v117(constB81)) | ![B: $i] : ((~less_3(B)) | (v124(constB81, B) <=> b101(B)))),
% 8.80/6.33 inference(unit_resolution,[status(thm)],[16553, 10677])).
% 8.80/6.33 tff(16555,plain,
% 8.80/6.33 (![B: $i] : ((~less_3(B)) | (v124(constB81, B) <=> b101(B)))),
% 8.80/6.33 inference(unit_resolution,[status(thm)],[16554, 16486])).
% 8.80/6.33 tff(16556,plain,
% 8.80/6.33 (((~![B: $i] : ((~less_3(B)) | (v124(constB81, B) <=> b101(B)))) | ((~less_3(bitIndex2)) | (v124(constB81, bitIndex2) <=> b101(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB81, B) <=> b101(B)))) | (~less_3(bitIndex2)) | (v124(constB81, bitIndex2) <=> b101(bitIndex2)))),
% 8.80/6.33 inference(rewrite,[status(thm)],[])).
% 8.80/6.33 tff(16557,plain,
% 8.80/6.33 ((~![B: $i] : ((~less_3(B)) | (v124(constB81, B) <=> b101(B)))) | ((~less_3(bitIndex2)) | (v124(constB81, bitIndex2) <=> b101(bitIndex2)))),
% 8.80/6.33 inference(quant_inst,[status(thm)],[])).
% 8.80/6.33 tff(16558,plain,
% 8.80/6.33 ((~![B: $i] : ((~less_3(B)) | (v124(constB81, B) <=> b101(B)))) | (~less_3(bitIndex2)) | (v124(constB81, bitIndex2) <=> b101(bitIndex2))),
% 8.80/6.33 inference(modus_ponens,[status(thm)],[16557, 16556])).
% 8.80/6.33 tff(16559,plain,
% 8.80/6.33 (v124(constB81, bitIndex2) <=> b101(bitIndex2)),
% 8.80/6.33 inference(unit_resolution,[status(thm)],[16558, 832, 16555])).
% 8.80/6.33 tff(16560,plain,
% 8.80/6.33 ((~(v124(constB81, bitIndex2) <=> b101(bitIndex2))) | v124(constB81, bitIndex2) | (~b101(bitIndex2))),
% 8.80/6.33 inference(tautology,[status(thm)],[])).
% 8.80/6.33 tff(16561,plain,
% 8.80/6.33 ((~(v124(constB81, bitIndex2) <=> b101(bitIndex2))) | v124(constB81, bitIndex2)),
% 8.80/6.33 inference(unit_resolution,[status(thm)],[16560, 10689])).
% 8.80/6.33 tff(16562,plain,
% 8.80/6.33 (v124(constB81, bitIndex2)),
% 8.80/6.33 inference(unit_resolution,[status(thm)],[16561, 16559])).
% 8.80/6.33 tff(16563,plain,
% 8.80/6.33 ((~(v121(constB81, bitIndex2) <=> v124(constB81, bitIndex2))) | v121(constB81, bitIndex2) | (~v124(constB81, bitIndex2))),
% 8.80/6.33 inference(tautology,[status(thm)],[])).
% 8.80/6.33 tff(16564,plain,
% 8.80/6.33 (v121(constB81, bitIndex2)),
% 8.80/6.33 inference(unit_resolution,[status(thm)],[16563, 16562, 16550])).
% 8.80/6.33 tff(16565,plain,
% 8.80/6.33 ((~(v123(constB82, bitIndex2) <=> v121(constB81, bitIndex2))) | v123(constB82, bitIndex2) | (~v121(constB81, bitIndex2))),
% 8.80/6.33 inference(tautology,[status(thm)],[])).
% 8.80/6.33 tff(16566,plain,
% 8.80/6.33 (v123(constB82, bitIndex2)),
% 8.80/6.33 inference(unit_resolution,[status(thm)],[16565, 16564, 16542])).
% 8.80/6.33 tff(16567,plain,
% 8.80/6.33 ((~(v84(constB82, bitIndex2) <=> v123(constB82, bitIndex2))) | v84(constB82, bitIndex2) | (~v123(constB82, bitIndex2))),
% 8.80/6.33 inference(tautology,[status(thm)],[])).
% 8.80/6.33 tff(16568,plain,
% 8.80/6.33 (v84(constB82, bitIndex2)),
% 8.80/6.33 inference(unit_resolution,[status(thm)],[16567, 16566, 16534])).
% 8.80/6.33 tff(16569,plain,
% 8.80/6.33 ((~(v84(constB83, bitIndex2) <=> v84(constB82, bitIndex2))) | v84(constB83, bitIndex2) | (~v84(constB82, bitIndex2))),
% 8.80/6.33 inference(tautology,[status(thm)],[])).
% 8.80/6.33 tff(16570,plain,
% 8.80/6.33 (v84(constB83, bitIndex2)),
% 8.80/6.33 inference(unit_resolution,[status(thm)],[16569, 16568, 6015])).
% 8.80/6.33 tff(16571,plain,
% 8.80/6.33 (((~![B: $i] : ((~less_3(B)) | (v84(constB83, B) <=> v84(constB82, B)))) | ((~less_3(bitIndex0)) | (v84(constB83, bitIndex0) <=> v84(constB82, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB83, B) <=> v84(constB82, B)))) | (~less_3(bitIndex0)) | (v84(constB83, bitIndex0) <=> v84(constB82, bitIndex0)))),
% 8.80/6.33 inference(rewrite,[status(thm)],[])).
% 8.80/6.33 tff(16572,plain,
% 8.80/6.33 ((~![B: $i] : ((~less_3(B)) | (v84(constB83, B) <=> v84(constB82, B)))) | ((~less_3(bitIndex0)) | (v84(constB83, bitIndex0) <=> v84(constB82, bitIndex0)))),
% 8.80/6.33 inference(quant_inst,[status(thm)],[])).
% 8.80/6.33 tff(16573,plain,
% 8.80/6.33 ((~![B: $i] : ((~less_3(B)) | (v84(constB83, B) <=> v84(constB82, B)))) | (~less_3(bitIndex0)) | (v84(constB83, bitIndex0) <=> v84(constB82, bitIndex0))),
% 8.80/6.33 inference(modus_ponens,[status(thm)],[16572, 16571])).
% 8.80/6.33 tff(16574,plain,
% 8.80/6.33 (v84(constB83, bitIndex0) <=> v84(constB82, bitIndex0)),
% 8.80/6.33 inference(unit_resolution,[status(thm)],[16573, 9772, 6011])).
% 8.80/6.33 tff(16575,plain,
% 8.80/6.33 (((~![B: $i] : ((~less_3(B)) | (v84(constB82, B) <=> v123(constB82, B)))) | ((~less_3(bitIndex0)) | (v84(constB82, bitIndex0) <=> v123(constB82, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB82, B) <=> v123(constB82, B)))) | (~less_3(bitIndex0)) | (v84(constB82, bitIndex0) <=> v123(constB82, bitIndex0)))),
% 8.80/6.33 inference(rewrite,[status(thm)],[])).
% 8.80/6.33 tff(16576,plain,
% 8.80/6.33 ((~![B: $i] : ((~less_3(B)) | (v84(constB82, B) <=> v123(constB82, B)))) | ((~less_3(bitIndex0)) | (v84(constB82, bitIndex0) <=> v123(constB82, bitIndex0)))),
% 8.80/6.33 inference(quant_inst,[status(thm)],[])).
% 8.80/6.33 tff(16577,plain,
% 8.80/6.33 ((~![B: $i] : ((~less_3(B)) | (v84(constB82, B) <=> v123(constB82, B)))) | (~less_3(bitIndex0)) | (v84(constB82, bitIndex0) <=> v123(constB82, bitIndex0))),
% 8.80/6.33 inference(modus_ponens,[status(thm)],[16576, 16575])).
% 8.80/6.33 tff(16578,plain,
% 8.80/6.33 (v84(constB82, bitIndex0) <=> v123(constB82, bitIndex0)),
% 8.80/6.33 inference(unit_resolution,[status(thm)],[16577, 9772, 16530])).
% 8.80/6.33 tff(16579,plain,
% 8.80/6.33 (((~![B: $i] : ((~less_3(B)) | (v123(constB82, B) <=> v121(constB81, B)))) | ((~less_3(bitIndex0)) | (v123(constB82, bitIndex0) <=> v121(constB81, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB82, B) <=> v121(constB81, B)))) | (~less_3(bitIndex0)) | (v123(constB82, bitIndex0) <=> v121(constB81, bitIndex0)))),
% 8.80/6.33 inference(rewrite,[status(thm)],[])).
% 8.80/6.33 tff(16580,plain,
% 8.80/6.33 ((~![B: $i] : ((~less_3(B)) | (v123(constB82, B) <=> v121(constB81, B)))) | ((~less_3(bitIndex0)) | (v123(constB82, bitIndex0) <=> v121(constB81, bitIndex0)))),
% 8.80/6.33 inference(quant_inst,[status(thm)],[])).
% 8.80/6.33 tff(16581,plain,
% 8.80/6.33 ((~![B: $i] : ((~less_3(B)) | (v123(constB82, B) <=> v121(constB81, B)))) | (~less_3(bitIndex0)) | (v123(constB82, bitIndex0) <=> v121(constB81, bitIndex0))),
% 8.80/6.33 inference(modus_ponens,[status(thm)],[16580, 16579])).
% 8.80/6.33 tff(16582,plain,
% 8.80/6.33 (v123(constB82, bitIndex0) <=> v121(constB81, bitIndex0)),
% 8.80/6.33 inference(unit_resolution,[status(thm)],[16581, 9772, 16538])).
% 8.80/6.33 tff(16583,plain,
% 8.80/6.33 (((~![B: $i] : ((~less_3(B)) | (v121(constB81, B) <=> v124(constB81, B)))) | ((~less_3(bitIndex0)) | (v121(constB81, bitIndex0) <=> v124(constB81, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB81, B) <=> v124(constB81, B)))) | (~less_3(bitIndex0)) | (v121(constB81, bitIndex0) <=> v124(constB81, bitIndex0)))),
% 8.80/6.33 inference(rewrite,[status(thm)],[])).
% 8.80/6.33 tff(16584,plain,
% 8.80/6.33 ((~![B: $i] : ((~less_3(B)) | (v121(constB81, B) <=> v124(constB81, B)))) | ((~less_3(bitIndex0)) | (v121(constB81, bitIndex0) <=> v124(constB81, bitIndex0)))),
% 8.80/6.33 inference(quant_inst,[status(thm)],[])).
% 8.80/6.33 tff(16585,plain,
% 8.80/6.33 ((~![B: $i] : ((~less_3(B)) | (v121(constB81, B) <=> v124(constB81, B)))) | (~less_3(bitIndex0)) | (v121(constB81, bitIndex0) <=> v124(constB81, bitIndex0))),
% 8.80/6.33 inference(modus_ponens,[status(thm)],[16584, 16583])).
% 8.80/6.33 tff(16586,plain,
% 8.80/6.33 (v121(constB81, bitIndex0) <=> v124(constB81, bitIndex0)),
% 8.80/6.33 inference(unit_resolution,[status(thm)],[16585, 9772, 16546])).
% 8.80/6.33 tff(16587,plain,
% 8.80/6.33 (((~![B: $i] : ((~less_3(B)) | (v124(constB81, B) <=> b101(B)))) | ((~less_3(bitIndex0)) | (v124(constB81, bitIndex0) <=> b101(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB81, B) <=> b101(B)))) | (~less_3(bitIndex0)) | (v124(constB81, bitIndex0) <=> b101(bitIndex0)))),
% 8.80/6.33 inference(rewrite,[status(thm)],[])).
% 8.80/6.33 tff(16588,plain,
% 8.80/6.33 ((~![B: $i] : ((~less_3(B)) | (v124(constB81, B) <=> b101(B)))) | ((~less_3(bitIndex0)) | (v124(constB81, bitIndex0) <=> b101(bitIndex0)))),
% 8.80/6.33 inference(quant_inst,[status(thm)],[])).
% 8.80/6.33 tff(16589,plain,
% 8.80/6.33 ((~![B: $i] : ((~less_3(B)) | (v124(constB81, B) <=> b101(B)))) | (~less_3(bitIndex0)) | (v124(constB81, bitIndex0) <=> b101(bitIndex0))),
% 8.80/6.33 inference(modus_ponens,[status(thm)],[16588, 16587])).
% 8.80/6.33 tff(16590,plain,
% 8.80/6.33 (v124(constB81, bitIndex0) <=> b101(bitIndex0)),
% 8.80/6.33 inference(unit_resolution,[status(thm)],[16589, 9772, 16555])).
% 8.80/6.33 tff(16591,plain,
% 8.80/6.33 ((~(v124(constB81, bitIndex0) <=> b101(bitIndex0))) | v124(constB81, bitIndex0) | (~b101(bitIndex0))),
% 8.80/6.33 inference(tautology,[status(thm)],[])).
% 8.80/6.33 tff(16592,plain,
% 8.80/6.33 ((~(v124(constB81, bitIndex0) <=> b101(bitIndex0))) | v124(constB81, bitIndex0)),
% 8.80/6.33 inference(unit_resolution,[status(thm)],[16591, 10723])).
% 8.80/6.33 tff(16593,plain,
% 8.80/6.33 (v124(constB81, bitIndex0)),
% 8.80/6.33 inference(unit_resolution,[status(thm)],[16592, 16590])).
% 8.80/6.33 tff(16594,plain,
% 8.80/6.33 ((~(v121(constB81, bitIndex0) <=> v124(constB81, bitIndex0))) | v121(constB81, bitIndex0) | (~v124(constB81, bitIndex0))),
% 8.80/6.33 inference(tautology,[status(thm)],[])).
% 8.80/6.33 tff(16595,plain,
% 8.80/6.33 (v121(constB81, bitIndex0)),
% 8.80/6.33 inference(unit_resolution,[status(thm)],[16594, 16593, 16586])).
% 8.80/6.33 tff(16596,plain,
% 8.80/6.33 ((~(v123(constB82, bitIndex0) <=> v121(constB81, bitIndex0))) | v123(constB82, bitIndex0) | (~v121(constB81, bitIndex0))),
% 8.80/6.33 inference(tautology,[status(thm)],[])).
% 8.80/6.33 tff(16597,plain,
% 8.80/6.33 (v123(constB82, bitIndex0)),
% 8.80/6.33 inference(unit_resolution,[status(thm)],[16596, 16595, 16582])).
% 8.80/6.33 tff(16598,plain,
% 8.80/6.33 ((~(v84(constB82, bitIndex0) <=> v123(constB82, bitIndex0))) | v84(constB82, bitIndex0) | (~v123(constB82, bitIndex0))),
% 8.80/6.33 inference(tautology,[status(thm)],[])).
% 8.80/6.33 tff(16599,plain,
% 8.80/6.33 (v84(constB82, bitIndex0)),
% 8.80/6.33 inference(unit_resolution,[status(thm)],[16598, 16597, 16578])).
% 8.80/6.33 tff(16600,plain,
% 8.80/6.33 ((~(v84(constB83, bitIndex0) <=> v84(constB82, bitIndex0))) | v84(constB83, bitIndex0) | (~v84(constB82, bitIndex0))),
% 8.80/6.33 inference(tautology,[status(thm)],[])).
% 8.80/6.33 tff(16601,plain,
% 8.80/6.33 (v84(constB83, bitIndex0)),
% 8.80/6.33 inference(unit_resolution,[status(thm)],[16600, 16599, 16574])).
% 8.80/6.33 tff(16602,plain,
% 8.80/6.33 (((~![B: $i] : ((~less_3(B)) | (v84(constB83, B) <=> v84(constB82, B)))) | ((~less_3(bitIndex1)) | (v84(constB83, bitIndex1) <=> v84(constB82, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB83, B) <=> v84(constB82, B)))) | (~less_3(bitIndex1)) | (v84(constB83, bitIndex1) <=> v84(constB82, bitIndex1)))),
% 8.80/6.33 inference(rewrite,[status(thm)],[])).
% 8.80/6.33 tff(16603,plain,
% 8.80/6.33 ((~![B: $i] : ((~less_3(B)) | (v84(constB83, B) <=> v84(constB82, B)))) | ((~less_3(bitIndex1)) | (v84(constB83, bitIndex1) <=> v84(constB82, bitIndex1)))),
% 8.80/6.33 inference(quant_inst,[status(thm)],[])).
% 8.80/6.33 tff(16604,plain,
% 8.80/6.33 ((~![B: $i] : ((~less_3(B)) | (v84(constB83, B) <=> v84(constB82, B)))) | (~less_3(bitIndex1)) | (v84(constB83, bitIndex1) <=> v84(constB82, bitIndex1))),
% 8.80/6.33 inference(modus_ponens,[status(thm)],[16603, 16602])).
% 8.80/6.33 tff(16605,plain,
% 8.80/6.33 (v84(constB83, bitIndex1) <=> v84(constB82, bitIndex1)),
% 8.80/6.33 inference(unit_resolution,[status(thm)],[16604, 9785, 6011])).
% 8.80/6.33 tff(16606,plain,
% 8.80/6.33 (((~![B: $i] : ((~less_3(B)) | (v84(constB82, B) <=> v123(constB82, B)))) | ((~less_3(bitIndex1)) | (v84(constB82, bitIndex1) <=> v123(constB82, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB82, B) <=> v123(constB82, B)))) | (~less_3(bitIndex1)) | (v84(constB82, bitIndex1) <=> v123(constB82, bitIndex1)))),
% 8.80/6.33 inference(rewrite,[status(thm)],[])).
% 8.80/6.33 tff(16607,plain,
% 8.80/6.33 ((~![B: $i] : ((~less_3(B)) | (v84(constB82, B) <=> v123(constB82, B)))) | ((~less_3(bitIndex1)) | (v84(constB82, bitIndex1) <=> v123(constB82, bitIndex1)))),
% 8.80/6.33 inference(quant_inst,[status(thm)],[])).
% 8.80/6.33 tff(16608,plain,
% 8.80/6.33 ((~![B: $i] : ((~less_3(B)) | (v84(constB82, B) <=> v123(constB82, B)))) | (~less_3(bitIndex1)) | (v84(constB82, bitIndex1) <=> v123(constB82, bitIndex1))),
% 8.80/6.33 inference(modus_ponens,[status(thm)],[16607, 16606])).
% 8.80/6.33 tff(16609,plain,
% 8.80/6.33 (v84(constB82, bitIndex1) <=> v123(constB82, bitIndex1)),
% 8.80/6.33 inference(unit_resolution,[status(thm)],[16608, 9785, 16530])).
% 8.80/6.33 tff(16610,plain,
% 8.80/6.33 (((~![B: $i] : ((~less_3(B)) | (v123(constB82, B) <=> v121(constB81, B)))) | ((~less_3(bitIndex1)) | (v123(constB82, bitIndex1) <=> v121(constB81, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB82, B) <=> v121(constB81, B)))) | (~less_3(bitIndex1)) | (v123(constB82, bitIndex1) <=> v121(constB81, bitIndex1)))),
% 8.80/6.33 inference(rewrite,[status(thm)],[])).
% 8.80/6.33 tff(16611,plain,
% 8.80/6.33 ((~![B: $i] : ((~less_3(B)) | (v123(constB82, B) <=> v121(constB81, B)))) | ((~less_3(bitIndex1)) | (v123(constB82, bitIndex1) <=> v121(constB81, bitIndex1)))),
% 8.80/6.33 inference(quant_inst,[status(thm)],[])).
% 8.80/6.33 tff(16612,plain,
% 8.80/6.33 ((~![B: $i] : ((~less_3(B)) | (v123(constB82, B) <=> v121(constB81, B)))) | (~less_3(bitIndex1)) | (v123(constB82, bitIndex1) <=> v121(constB81, bitIndex1))),
% 8.80/6.33 inference(modus_ponens,[status(thm)],[16611, 16610])).
% 8.80/6.33 tff(16613,plain,
% 8.80/6.33 (v123(constB82, bitIndex1) <=> v121(constB81, bitIndex1)),
% 8.80/6.33 inference(unit_resolution,[status(thm)],[16612, 9785, 16538])).
% 8.80/6.33 tff(16614,plain,
% 8.80/6.33 (((~![B: $i] : ((~less_3(B)) | (v121(constB81, B) <=> v124(constB81, B)))) | ((~less_3(bitIndex1)) | (v121(constB81, bitIndex1) <=> v124(constB81, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB81, B) <=> v124(constB81, B)))) | (~less_3(bitIndex1)) | (v121(constB81, bitIndex1) <=> v124(constB81, bitIndex1)))),
% 8.80/6.33 inference(rewrite,[status(thm)],[])).
% 8.80/6.33 tff(16615,plain,
% 8.80/6.33 ((~![B: $i] : ((~less_3(B)) | (v121(constB81, B) <=> v124(constB81, B)))) | ((~less_3(bitIndex1)) | (v121(constB81, bitIndex1) <=> v124(constB81, bitIndex1)))),
% 8.80/6.33 inference(quant_inst,[status(thm)],[])).
% 8.80/6.33 tff(16616,plain,
% 8.80/6.33 ((~![B: $i] : ((~less_3(B)) | (v121(constB81, B) <=> v124(constB81, B)))) | (~less_3(bitIndex1)) | (v121(constB81, bitIndex1) <=> v124(constB81, bitIndex1))),
% 8.80/6.33 inference(modus_ponens,[status(thm)],[16615, 16614])).
% 8.80/6.33 tff(16617,plain,
% 8.80/6.33 (v121(constB81, bitIndex1) <=> v124(constB81, bitIndex1)),
% 8.80/6.33 inference(unit_resolution,[status(thm)],[16616, 9785, 16546])).
% 8.80/6.33 tff(16618,plain,
% 8.80/6.33 (((~![B: $i] : ((~less_3(B)) | (v124(constB81, B) <=> b101(B)))) | ((~less_3(bitIndex1)) | (v124(constB81, bitIndex1) <=> b101(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB81, B) <=> b101(B)))) | (~less_3(bitIndex1)) | (v124(constB81, bitIndex1) <=> b101(bitIndex1)))),
% 8.80/6.33 inference(rewrite,[status(thm)],[])).
% 8.80/6.33 tff(16619,plain,
% 8.80/6.33 ((~![B: $i] : ((~less_3(B)) | (v124(constB81, B) <=> b101(B)))) | ((~less_3(bitIndex1)) | (v124(constB81, bitIndex1) <=> b101(bitIndex1)))),
% 8.80/6.33 inference(quant_inst,[status(thm)],[])).
% 8.80/6.33 tff(16620,plain,
% 8.80/6.33 ((~![B: $i] : ((~less_3(B)) | (v124(constB81, B) <=> b101(B)))) | (~less_3(bitIndex1)) | (v124(constB81, bitIndex1) <=> b101(bitIndex1))),
% 8.80/6.33 inference(modus_ponens,[status(thm)],[16619, 16618])).
% 8.80/6.33 tff(16621,plain,
% 8.80/6.33 (v124(constB81, bitIndex1) <=> b101(bitIndex1)),
% 8.80/6.33 inference(unit_resolution,[status(thm)],[16620, 9785, 16555])).
% 8.80/6.33 tff(16622,plain,
% 8.80/6.33 ((~(v124(constB81, bitIndex1) <=> b101(bitIndex1))) | (~v124(constB81, bitIndex1)) | b101(bitIndex1)),
% 8.80/6.33 inference(tautology,[status(thm)],[])).
% 8.80/6.33 tff(16623,plain,
% 8.80/6.33 ((~(v124(constB81, bitIndex1) <=> b101(bitIndex1))) | (~v124(constB81, bitIndex1))),
% 8.80/6.33 inference(unit_resolution,[status(thm)],[16622, 10757])).
% 8.80/6.33 tff(16624,plain,
% 8.80/6.34 (~v124(constB81, bitIndex1)),
% 8.80/6.34 inference(unit_resolution,[status(thm)],[16623, 16621])).
% 8.80/6.34 tff(16625,plain,
% 8.80/6.34 ((~(v121(constB81, bitIndex1) <=> v124(constB81, bitIndex1))) | (~v121(constB81, bitIndex1)) | v124(constB81, bitIndex1)),
% 8.80/6.34 inference(tautology,[status(thm)],[])).
% 8.80/6.34 tff(16626,plain,
% 8.80/6.34 (~v121(constB81, bitIndex1)),
% 8.80/6.34 inference(unit_resolution,[status(thm)],[16625, 16624, 16617])).
% 8.80/6.34 tff(16627,plain,
% 8.80/6.34 ((~(v123(constB82, bitIndex1) <=> v121(constB81, bitIndex1))) | (~v123(constB82, bitIndex1)) | v121(constB81, bitIndex1)),
% 8.80/6.34 inference(tautology,[status(thm)],[])).
% 8.80/6.34 tff(16628,plain,
% 8.80/6.34 (~v123(constB82, bitIndex1)),
% 8.80/6.34 inference(unit_resolution,[status(thm)],[16627, 16626, 16613])).
% 8.80/6.34 tff(16629,plain,
% 8.80/6.34 ((~(v84(constB82, bitIndex1) <=> v123(constB82, bitIndex1))) | (~v84(constB82, bitIndex1)) | v123(constB82, bitIndex1)),
% 8.80/6.34 inference(tautology,[status(thm)],[])).
% 8.80/6.34 tff(16630,plain,
% 8.80/6.34 (~v84(constB82, bitIndex1)),
% 8.80/6.34 inference(unit_resolution,[status(thm)],[16629, 16628, 16609])).
% 8.80/6.34 tff(16631,plain,
% 8.80/6.34 ((~(v84(constB83, bitIndex1) <=> v84(constB82, bitIndex1))) | (~v84(constB83, bitIndex1)) | v84(constB82, bitIndex1)),
% 8.80/6.34 inference(tautology,[status(thm)],[])).
% 8.80/6.34 tff(16632,plain,
% 8.80/6.34 (~v84(constB83, bitIndex1)),
% 8.80/6.34 inference(unit_resolution,[status(thm)],[16631, 16630, 16605])).
% 8.80/6.34 tff(16633,plain,
% 8.80/6.34 ((~((~v84(constB83, bitIndex2)) | v84(constB83, bitIndex1) | (~v84(constB83, bitIndex0)))) | (~v84(constB83, bitIndex2)) | v84(constB83, bitIndex1) | (~v84(constB83, bitIndex0))),
% 8.80/6.34 inference(tautology,[status(thm)],[])).
% 8.80/6.34 tff(16634,plain,
% 8.80/6.34 (~((~v84(constB83, bitIndex2)) | v84(constB83, bitIndex1) | (~v84(constB83, bitIndex0)))),
% 8.80/6.34 inference(unit_resolution,[status(thm)],[16633, 16632, 16601, 16570])).
% 8.80/6.34 tff(16635,plain,
% 8.80/6.34 ((~(v118(constB83) <=> (~((~v84(constB83, bitIndex2)) | v84(constB83, bitIndex1) | (~v84(constB83, bitIndex0)))))) | v118(constB83) | ((~v84(constB83, bitIndex2)) | v84(constB83, bitIndex1) | (~v84(constB83, bitIndex0)))),
% 8.80/6.34 inference(tautology,[status(thm)],[])).
% 8.80/6.34 tff(16636,plain,
% 8.80/6.34 (v118(constB83)),
% 8.80/6.34 inference(unit_resolution,[status(thm)],[16635, 16634, 5983])).
% 8.80/6.34 tff(16637,plain,
% 8.80/6.34 ((v109(constB83) | v118(constB83)) | (~v118(constB83))),
% 8.80/6.34 inference(tautology,[status(thm)],[])).
% 8.80/6.34 tff(16638,plain,
% 8.80/6.34 (v109(constB83) | v118(constB83)),
% 8.80/6.34 inference(unit_resolution,[status(thm)],[16637, 16636])).
% 8.80/6.34 tff(16639,plain,
% 8.80/6.34 ((~(v108(constB83) <=> (v109(constB83) | v118(constB83)))) | v108(constB83) | (~(v109(constB83) | v118(constB83)))),
% 8.80/6.34 inference(tautology,[status(thm)],[])).
% 8.80/6.34 tff(16640,plain,
% 8.80/6.34 (v108(constB83)),
% 8.80/6.34 inference(unit_resolution,[status(thm)],[16639, 16638, 5976])).
% 8.80/6.34 tff(16641,plain,
% 8.80/6.34 ((v108(constB83) | v119(constB83)) | (~v108(constB83))),
% 8.80/6.34 inference(tautology,[status(thm)],[])).
% 8.80/6.34 tff(16642,plain,
% 8.80/6.34 (v108(constB83) | v119(constB83)),
% 8.80/6.34 inference(unit_resolution,[status(thm)],[16641, 16640])).
% 8.80/6.34 tff(16643,plain,
% 8.80/6.34 ((~(v107(constB83) <=> (v108(constB83) | v119(constB83)))) | v107(constB83) | (~(v108(constB83) | v119(constB83)))),
% 8.80/6.34 inference(tautology,[status(thm)],[])).
% 8.80/6.34 tff(16644,plain,
% 8.80/6.34 (v107(constB83)),
% 8.80/6.34 inference(unit_resolution,[status(thm)],[16643, 16642, 5974])).
% 8.80/6.34 tff(16645,plain,
% 8.80/6.34 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB83)) <=> v105(constB83))),
% 8.80/6.34 inference(quant_inst,[status(thm)],[])).
% 8.80/6.34 tff(16646,plain,
% 8.80/6.34 ((~v120(constB83)) <=> v105(constB83)),
% 8.80/6.34 inference(unit_resolution,[status(thm)],[16645, 9842])).
% 8.80/6.34 tff(16647,plain,
% 8.80/6.34 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB83) <=> v26(constB83))),
% 8.80/6.34 inference(quant_inst,[status(thm)],[])).
% 8.80/6.34 tff(16648,plain,
% 8.80/6.34 (v105(constB83) <=> v26(constB83)),
% 8.80/6.34 inference(unit_resolution,[status(thm)],[16647, 9854])).
% 8.80/6.34 tff(16649,plain,
% 8.80/6.34 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB83))),
% 8.80/6.34 inference(quant_inst,[status(thm)],[])).
% 8.80/6.34 tff(16650,plain,
% 8.80/6.34 (~v26(constB83)),
% 8.80/6.34 inference(unit_resolution,[status(thm)],[16649, 9866])).
% 8.80/6.34 tff(16651,plain,
% 8.80/6.34 ((~(v105(constB83) <=> v26(constB83))) | (~v105(constB83)) | v26(constB83)),
% 8.80/6.34 inference(tautology,[status(thm)],[])).
% 8.80/6.34 tff(16652,plain,
% 8.80/6.34 ((~(v105(constB83) <=> v26(constB83))) | (~v105(constB83))),
% 8.80/6.34 inference(unit_resolution,[status(thm)],[16651, 16650])).
% 8.80/6.34 tff(16653,plain,
% 8.80/6.34 (~v105(constB83)),
% 8.80/6.34 inference(unit_resolution,[status(thm)],[16652, 16648])).
% 8.80/6.34 tff(16654,plain,
% 8.80/6.34 ((~((~v120(constB83)) <=> v105(constB83))) | v120(constB83) | v105(constB83)),
% 8.80/6.34 inference(tautology,[status(thm)],[])).
% 8.80/6.34 tff(16655,plain,
% 8.80/6.34 ((~((~v120(constB83)) <=> v105(constB83))) | v120(constB83)),
% 8.80/6.34 inference(unit_resolution,[status(thm)],[16654, 16653])).
% 8.80/6.34 tff(16656,plain,
% 8.80/6.34 (v120(constB83)),
% 8.80/6.34 inference(unit_resolution,[status(thm)],[16655, 16646])).
% 8.80/6.34 tff(16657,plain,
% 8.80/6.34 ((~((~v107(constB83)) | (~v120(constB83)))) | (~v107(constB83)) | (~v120(constB83))),
% 8.80/6.34 inference(tautology,[status(thm)],[])).
% 8.80/6.34 tff(16658,plain,
% 8.80/6.34 ((~((~v107(constB83)) | (~v120(constB83)))) | (~v107(constB83))),
% 8.80/6.34 inference(unit_resolution,[status(thm)],[16657, 16656])).
% 8.80/6.34 tff(16659,plain,
% 8.80/6.34 (~((~v107(constB83)) | (~v120(constB83)))),
% 8.80/6.34 inference(unit_resolution,[status(thm)],[16658, 16644])).
% 8.80/6.34 tff(16660,plain,
% 8.80/6.34 ((~(v106(constB83) <=> (~((~v107(constB83)) | (~v120(constB83)))))) | v106(constB83) | ((~v107(constB83)) | (~v120(constB83)))),
% 8.80/6.34 inference(tautology,[status(thm)],[])).
% 8.80/6.34 tff(16661,plain,
% 8.80/6.34 (v106(constB83)),
% 8.80/6.34 inference(unit_resolution,[status(thm)],[16660, 16659, 5972])).
% 8.80/6.34 tff(16662,plain,
% 8.80/6.34 ((v105(constB83) | v106(constB83)) | (~v106(constB83))),
% 8.80/6.34 inference(tautology,[status(thm)],[])).
% 8.80/6.34 tff(16663,plain,
% 8.80/6.34 (v105(constB83) | v106(constB83)),
% 8.80/6.34 inference(unit_resolution,[status(thm)],[16662, 16661])).
% 8.80/6.34 tff(16664,plain,
% 8.80/6.34 ((~(v102(constB83) <=> (v105(constB83) | v106(constB83)))) | v102(constB83) | (~(v105(constB83) | v106(constB83)))),
% 8.80/6.34 inference(tautology,[status(thm)],[])).
% 8.80/6.34 tff(16665,plain,
% 8.80/6.34 (v102(constB83)),
% 8.80/6.34 inference(unit_resolution,[status(thm)],[16664, 16663, 5970])).
% 8.80/6.34 tff(16666,plain,
% 8.80/6.34 ((~(v104(constB84) <=> v102(constB83))) | v104(constB84) | (~v102(constB83))),
% 8.80/6.34 inference(tautology,[status(thm)],[])).
% 8.80/6.34 tff(16667,plain,
% 8.80/6.34 (v104(constB84)),
% 8.80/6.34 inference(unit_resolution,[status(thm)],[16666, 16665, 5968])).
% 8.80/6.34 tff(16668,plain,
% 8.80/6.34 ((~((~v104(constB84)) | (~v95(constB84)))) | (~v104(constB84)) | (~v95(constB84))),
% 8.80/6.34 inference(tautology,[status(thm)],[])).
% 8.80/6.34 tff(16669,plain,
% 8.80/6.34 (~((~v104(constB84)) | (~v95(constB84)))),
% 8.80/6.34 inference(unit_resolution,[status(thm)],[16668, 16667, 5964])).
% 8.80/6.34 tff(16670,plain,
% 8.80/6.34 ((~(v94(constB84) <=> (~((~v104(constB84)) | (~v95(constB84)))))) | v94(constB84) | ((~v104(constB84)) | (~v95(constB84)))),
% 8.80/6.34 inference(tautology,[status(thm)],[])).
% 8.80/6.34 tff(16671,plain,
% 8.80/6.34 (v94(constB84)),
% 8.80/6.34 inference(unit_resolution,[status(thm)],[16670, 16669, 5933])).
% 8.80/6.34 tff(16672,plain,
% 8.80/6.34 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB84)) | ![B: $i] : ((~less_3(B)) | (v84(constB84, B) <=> v123(constB84, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB84)) | ![B: $i] : ((~less_3(B)) | (v84(constB84, B) <=> v123(constB84, B))))),
% 8.80/6.34 inference(rewrite,[status(thm)],[])).
% 8.80/6.34 tff(16673,plain,
% 8.80/6.34 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB84)) | ![B: $i] : ((~less_3(B)) | (v84(constB84, B) <=> v123(constB84, B))))),
% 8.80/6.34 inference(quant_inst,[status(thm)],[])).
% 8.80/6.34 tff(16674,plain,
% 8.80/6.34 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB84)) | ![B: $i] : ((~less_3(B)) | (v84(constB84, B) <=> v123(constB84, B)))),
% 8.80/6.34 inference(modus_ponens,[status(thm)],[16673, 16672])).
% 8.80/6.34 tff(16675,plain,
% 8.80/6.34 ((~v94(constB84)) | ![B: $i] : ((~less_3(B)) | (v84(constB84, B) <=> v123(constB84, B)))),
% 8.80/6.34 inference(unit_resolution,[status(thm)],[16674, 9902])).
% 8.80/6.34 tff(16676,plain,
% 8.80/6.34 (![B: $i] : ((~less_3(B)) | (v84(constB84, B) <=> v123(constB84, B)))),
% 8.80/6.34 inference(unit_resolution,[status(thm)],[16675, 16671])).
% 8.80/6.34 tff(16677,plain,
% 8.80/6.34 (((~![B: $i] : ((~less_3(B)) | (v84(constB84, B) <=> v123(constB84, B)))) | ((~less_3(bitIndex2)) | (v84(constB84, bitIndex2) <=> v123(constB84, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB84, B) <=> v123(constB84, B)))) | (~less_3(bitIndex2)) | (v84(constB84, bitIndex2) <=> v123(constB84, bitIndex2)))),
% 8.80/6.34 inference(rewrite,[status(thm)],[])).
% 8.80/6.34 tff(16678,plain,
% 8.80/6.34 ((~![B: $i] : ((~less_3(B)) | (v84(constB84, B) <=> v123(constB84, B)))) | ((~less_3(bitIndex2)) | (v84(constB84, bitIndex2) <=> v123(constB84, bitIndex2)))),
% 8.80/6.34 inference(quant_inst,[status(thm)],[])).
% 8.80/6.34 tff(16679,plain,
% 8.80/6.34 ((~![B: $i] : ((~less_3(B)) | (v84(constB84, B) <=> v123(constB84, B)))) | (~less_3(bitIndex2)) | (v84(constB84, bitIndex2) <=> v123(constB84, bitIndex2))),
% 8.80/6.34 inference(modus_ponens,[status(thm)],[16678, 16677])).
% 8.80/6.34 tff(16680,plain,
% 8.80/6.34 (v84(constB84, bitIndex2) <=> v123(constB84, bitIndex2)),
% 8.80/6.34 inference(unit_resolution,[status(thm)],[16679, 832, 16676])).
% 8.80/6.34 tff(16681,plain,
% 8.80/6.34 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB83, constB84)) | ![B: $i] : ((~less_3(B)) | (v123(constB84, B) <=> v121(constB83, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB83, constB84)) | ![B: $i] : ((~less_3(B)) | (v123(constB84, B) <=> v121(constB83, B))))),
% 8.80/6.34 inference(rewrite,[status(thm)],[])).
% 8.80/6.34 tff(16682,plain,
% 8.80/6.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB83, constB84)) | ![B: $i] : ((~less_3(B)) | (v123(constB84, B) <=> v121(constB83, B))))),
% 8.80/6.34 inference(quant_inst,[status(thm)],[])).
% 8.80/6.34 tff(16683,plain,
% 8.80/6.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB83, constB84)) | ![B: $i] : ((~less_3(B)) | (v123(constB84, B) <=> v121(constB83, B)))),
% 8.80/6.34 inference(modus_ponens,[status(thm)],[16682, 16681])).
% 8.80/6.34 tff(16684,plain,
% 8.80/6.34 (![B: $i] : ((~less_3(B)) | (v123(constB84, B) <=> v121(constB83, B)))),
% 8.80/6.34 inference(unit_resolution,[status(thm)],[16683, 5929, 9924])).
% 8.80/6.34 tff(16685,plain,
% 8.80/6.34 (((~![B: $i] : ((~less_3(B)) | (v123(constB84, B) <=> v121(constB83, B)))) | ((~less_3(bitIndex2)) | (v123(constB84, bitIndex2) <=> v121(constB83, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB84, B) <=> v121(constB83, B)))) | (~less_3(bitIndex2)) | (v123(constB84, bitIndex2) <=> v121(constB83, bitIndex2)))),
% 8.80/6.34 inference(rewrite,[status(thm)],[])).
% 8.80/6.34 tff(16686,plain,
% 8.80/6.34 ((~![B: $i] : ((~less_3(B)) | (v123(constB84, B) <=> v121(constB83, B)))) | ((~less_3(bitIndex2)) | (v123(constB84, bitIndex2) <=> v121(constB83, bitIndex2)))),
% 8.80/6.34 inference(quant_inst,[status(thm)],[])).
% 8.80/6.34 tff(16687,plain,
% 8.80/6.34 ((~![B: $i] : ((~less_3(B)) | (v123(constB84, B) <=> v121(constB83, B)))) | (~less_3(bitIndex2)) | (v123(constB84, bitIndex2) <=> v121(constB83, bitIndex2))),
% 8.80/6.34 inference(modus_ponens,[status(thm)],[16686, 16685])).
% 8.80/6.34 tff(16688,plain,
% 8.80/6.34 (v123(constB84, bitIndex2) <=> v121(constB83, bitIndex2)),
% 8.80/6.34 inference(unit_resolution,[status(thm)],[16687, 832, 16684])).
% 8.80/6.34 tff(16689,plain,
% 8.80/6.34 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB83) | ![B: $i] : ((~less_3(B)) | (v121(constB83, B) <=> v124(constB83, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB83) | ![B: $i] : ((~less_3(B)) | (v121(constB83, B) <=> v124(constB83, B))))),
% 8.80/6.34 inference(rewrite,[status(thm)],[])).
% 8.80/6.34 tff(16690,plain,
% 8.80/6.34 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB83) | ![B: $i] : ((~less_3(B)) | (v121(constB83, B) <=> v124(constB83, B))))),
% 8.80/6.34 inference(quant_inst,[status(thm)],[])).
% 8.80/6.34 tff(16691,plain,
% 8.80/6.34 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB83) | ![B: $i] : ((~less_3(B)) | (v121(constB83, B) <=> v124(constB83, B)))),
% 8.80/6.34 inference(modus_ponens,[status(thm)],[16690, 16689])).
% 8.80/6.34 tff(16692,plain,
% 8.80/6.34 (![B: $i] : ((~less_3(B)) | (v121(constB83, B) <=> v124(constB83, B)))),
% 8.80/6.34 inference(unit_resolution,[status(thm)],[16691, 9945, 16653])).
% 8.80/6.34 tff(16693,plain,
% 8.80/6.34 (((~![B: $i] : ((~less_3(B)) | (v121(constB83, B) <=> v124(constB83, B)))) | ((~less_3(bitIndex2)) | (v121(constB83, bitIndex2) <=> v124(constB83, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB83, B) <=> v124(constB83, B)))) | (~less_3(bitIndex2)) | (v121(constB83, bitIndex2) <=> v124(constB83, bitIndex2)))),
% 8.80/6.34 inference(rewrite,[status(thm)],[])).
% 8.80/6.34 tff(16694,plain,
% 8.80/6.34 ((~![B: $i] : ((~less_3(B)) | (v121(constB83, B) <=> v124(constB83, B)))) | ((~less_3(bitIndex2)) | (v121(constB83, bitIndex2) <=> v124(constB83, bitIndex2)))),
% 8.80/6.34 inference(quant_inst,[status(thm)],[])).
% 8.80/6.34 tff(16695,plain,
% 8.80/6.34 ((~![B: $i] : ((~less_3(B)) | (v121(constB83, B) <=> v124(constB83, B)))) | (~less_3(bitIndex2)) | (v121(constB83, bitIndex2) <=> v124(constB83, bitIndex2))),
% 8.80/6.34 inference(modus_ponens,[status(thm)],[16694, 16693])).
% 8.80/6.34 tff(16696,plain,
% 8.80/6.34 (v121(constB83, bitIndex2) <=> v124(constB83, bitIndex2)),
% 8.80/6.34 inference(unit_resolution,[status(thm)],[16695, 832, 16692])).
% 8.80/6.34 tff(16697,plain,
% 8.80/6.34 (((~![VarCurr: $i] : ((~v118(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b110(B))))) | ((~v118(constB83)) | ![B: $i] : ((~less_3(B)) | (v124(constB83, B) <=> b110(B))))) <=> ((~![VarCurr: $i] : ((~v118(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b110(B))))) | (~v118(constB83)) | ![B: $i] : ((~less_3(B)) | (v124(constB83, B) <=> b110(B))))),
% 8.80/6.34 inference(rewrite,[status(thm)],[])).
% 8.80/6.34 tff(16698,plain,
% 8.80/6.34 ((~![VarCurr: $i] : ((~v118(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b110(B))))) | ((~v118(constB83)) | ![B: $i] : ((~less_3(B)) | (v124(constB83, B) <=> b110(B))))),
% 8.80/6.34 inference(quant_inst,[status(thm)],[])).
% 8.80/6.34 tff(16699,plain,
% 8.80/6.34 ((~![VarCurr: $i] : ((~v118(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b110(B))))) | (~v118(constB83)) | ![B: $i] : ((~less_3(B)) | (v124(constB83, B) <=> b110(B)))),
% 8.80/6.34 inference(modus_ponens,[status(thm)],[16698, 16697])).
% 8.80/6.34 tff(16700,plain,
% 8.80/6.34 ((~v118(constB83)) | ![B: $i] : ((~less_3(B)) | (v124(constB83, B) <=> b110(B)))),
% 8.80/6.34 inference(unit_resolution,[status(thm)],[16699, 10845])).
% 8.80/6.34 tff(16701,plain,
% 8.80/6.34 (![B: $i] : ((~less_3(B)) | (v124(constB83, B) <=> b110(B)))),
% 8.80/6.34 inference(unit_resolution,[status(thm)],[16700, 16636])).
% 8.80/6.34 tff(16702,plain,
% 8.80/6.34 (((~![B: $i] : ((~less_3(B)) | (v124(constB83, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v124(constB83, bitIndex2) <=> b110(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB83, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v124(constB83, bitIndex2) <=> b110(bitIndex2)))),
% 8.80/6.34 inference(rewrite,[status(thm)],[])).
% 8.80/6.34 tff(16703,plain,
% 8.80/6.34 ((~![B: $i] : ((~less_3(B)) | (v124(constB83, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v124(constB83, bitIndex2) <=> b110(bitIndex2)))),
% 8.80/6.34 inference(quant_inst,[status(thm)],[])).
% 8.80/6.34 tff(16704,plain,
% 8.80/6.34 ((~![B: $i] : ((~less_3(B)) | (v124(constB83, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v124(constB83, bitIndex2) <=> b110(bitIndex2))),
% 8.80/6.34 inference(modus_ponens,[status(thm)],[16703, 16702])).
% 8.80/6.34 tff(16705,plain,
% 8.80/6.34 (v124(constB83, bitIndex2) <=> b110(bitIndex2)),
% 8.80/6.34 inference(unit_resolution,[status(thm)],[16704, 832, 16701])).
% 8.80/6.34 tff(16706,plain,
% 8.80/6.34 ((~(v124(constB83, bitIndex2) <=> b110(bitIndex2))) | v124(constB83, bitIndex2) | (~b110(bitIndex2))),
% 8.80/6.34 inference(tautology,[status(thm)],[])).
% 8.80/6.34 tff(16707,plain,
% 8.80/6.34 ((~(v124(constB83, bitIndex2) <=> b110(bitIndex2))) | v124(constB83, bitIndex2)),
% 8.80/6.34 inference(unit_resolution,[status(thm)],[16706, 10857])).
% 8.80/6.34 tff(16708,plain,
% 8.80/6.34 (v124(constB83, bitIndex2)),
% 8.80/6.34 inference(unit_resolution,[status(thm)],[16707, 16705])).
% 8.80/6.34 tff(16709,plain,
% 8.80/6.34 ((~(v121(constB83, bitIndex2) <=> v124(constB83, bitIndex2))) | v121(constB83, bitIndex2) | (~v124(constB83, bitIndex2))),
% 8.80/6.34 inference(tautology,[status(thm)],[])).
% 8.80/6.34 tff(16710,plain,
% 8.80/6.34 (v121(constB83, bitIndex2)),
% 8.80/6.34 inference(unit_resolution,[status(thm)],[16709, 16708, 16696])).
% 8.80/6.34 tff(16711,plain,
% 8.80/6.34 ((~(v123(constB84, bitIndex2) <=> v121(constB83, bitIndex2))) | v123(constB84, bitIndex2) | (~v121(constB83, bitIndex2))),
% 8.80/6.34 inference(tautology,[status(thm)],[])).
% 8.80/6.34 tff(16712,plain,
% 8.80/6.34 (v123(constB84, bitIndex2)),
% 8.80/6.34 inference(unit_resolution,[status(thm)],[16711, 16710, 16688])).
% 8.80/6.34 tff(16713,plain,
% 8.80/6.34 ((~(v84(constB84, bitIndex2) <=> v123(constB84, bitIndex2))) | v84(constB84, bitIndex2) | (~v123(constB84, bitIndex2))),
% 8.80/6.34 inference(tautology,[status(thm)],[])).
% 8.80/6.34 tff(16714,plain,
% 8.80/6.34 (v84(constB84, bitIndex2)),
% 8.80/6.34 inference(unit_resolution,[status(thm)],[16713, 16712, 16680])).
% 8.80/6.34 tff(16715,plain,
% 8.80/6.34 ((~(v84(constB85, bitIndex2) <=> v84(constB84, bitIndex2))) | v84(constB85, bitIndex2) | (~v84(constB84, bitIndex2))),
% 8.80/6.34 inference(tautology,[status(thm)],[])).
% 8.80/6.34 tff(16716,plain,
% 8.80/6.34 (v84(constB85, bitIndex2)),
% 8.80/6.34 inference(unit_resolution,[status(thm)],[16715, 16714, 5926])).
% 8.80/6.34 tff(16717,plain,
% 8.80/6.34 (((~![B: $i] : ((~less_3(B)) | (v84(constB85, B) <=> v84(constB84, B)))) | ((~less_3(bitIndex0)) | (v84(constB85, bitIndex0) <=> v84(constB84, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB85, B) <=> v84(constB84, B)))) | (~less_3(bitIndex0)) | (v84(constB85, bitIndex0) <=> v84(constB84, bitIndex0)))),
% 8.80/6.34 inference(rewrite,[status(thm)],[])).
% 8.80/6.34 tff(16718,plain,
% 8.80/6.34 ((~![B: $i] : ((~less_3(B)) | (v84(constB85, B) <=> v84(constB84, B)))) | ((~less_3(bitIndex0)) | (v84(constB85, bitIndex0) <=> v84(constB84, bitIndex0)))),
% 8.80/6.34 inference(quant_inst,[status(thm)],[])).
% 8.80/6.34 tff(16719,plain,
% 8.80/6.34 ((~![B: $i] : ((~less_3(B)) | (v84(constB85, B) <=> v84(constB84, B)))) | (~less_3(bitIndex0)) | (v84(constB85, bitIndex0) <=> v84(constB84, bitIndex0))),
% 8.80/6.34 inference(modus_ponens,[status(thm)],[16718, 16717])).
% 8.80/6.34 tff(16720,plain,
% 8.80/6.34 (v84(constB85, bitIndex0) <=> v84(constB84, bitIndex0)),
% 8.80/6.34 inference(unit_resolution,[status(thm)],[16719, 9772, 5922])).
% 8.80/6.34 tff(16721,plain,
% 8.80/6.34 (((~![B: $i] : ((~less_3(B)) | (v84(constB84, B) <=> v123(constB84, B)))) | ((~less_3(bitIndex0)) | (v84(constB84, bitIndex0) <=> v123(constB84, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB84, B) <=> v123(constB84, B)))) | (~less_3(bitIndex0)) | (v84(constB84, bitIndex0) <=> v123(constB84, bitIndex0)))),
% 8.80/6.34 inference(rewrite,[status(thm)],[])).
% 8.80/6.34 tff(16722,plain,
% 8.80/6.34 ((~![B: $i] : ((~less_3(B)) | (v84(constB84, B) <=> v123(constB84, B)))) | ((~less_3(bitIndex0)) | (v84(constB84, bitIndex0) <=> v123(constB84, bitIndex0)))),
% 8.80/6.34 inference(quant_inst,[status(thm)],[])).
% 8.80/6.34 tff(16723,plain,
% 8.80/6.34 ((~![B: $i] : ((~less_3(B)) | (v84(constB84, B) <=> v123(constB84, B)))) | (~less_3(bitIndex0)) | (v84(constB84, bitIndex0) <=> v123(constB84, bitIndex0))),
% 8.80/6.34 inference(modus_ponens,[status(thm)],[16722, 16721])).
% 8.80/6.34 tff(16724,plain,
% 8.80/6.34 (v84(constB84, bitIndex0) <=> v123(constB84, bitIndex0)),
% 8.80/6.34 inference(unit_resolution,[status(thm)],[16723, 9772, 16676])).
% 8.80/6.34 tff(16725,plain,
% 8.80/6.34 (((~![B: $i] : ((~less_3(B)) | (v123(constB84, B) <=> v121(constB83, B)))) | ((~less_3(bitIndex0)) | (v123(constB84, bitIndex0) <=> v121(constB83, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB84, B) <=> v121(constB83, B)))) | (~less_3(bitIndex0)) | (v123(constB84, bitIndex0) <=> v121(constB83, bitIndex0)))),
% 8.80/6.34 inference(rewrite,[status(thm)],[])).
% 8.80/6.34 tff(16726,plain,
% 8.80/6.34 ((~![B: $i] : ((~less_3(B)) | (v123(constB84, B) <=> v121(constB83, B)))) | ((~less_3(bitIndex0)) | (v123(constB84, bitIndex0) <=> v121(constB83, bitIndex0)))),
% 8.80/6.34 inference(quant_inst,[status(thm)],[])).
% 8.80/6.34 tff(16727,plain,
% 8.80/6.34 ((~![B: $i] : ((~less_3(B)) | (v123(constB84, B) <=> v121(constB83, B)))) | (~less_3(bitIndex0)) | (v123(constB84, bitIndex0) <=> v121(constB83, bitIndex0))),
% 8.80/6.34 inference(modus_ponens,[status(thm)],[16726, 16725])).
% 8.80/6.34 tff(16728,plain,
% 8.80/6.34 (v123(constB84, bitIndex0) <=> v121(constB83, bitIndex0)),
% 8.80/6.34 inference(unit_resolution,[status(thm)],[16727, 9772, 16684])).
% 8.80/6.34 tff(16729,plain,
% 8.80/6.34 (((~![B: $i] : ((~less_3(B)) | (v121(constB83, B) <=> v124(constB83, B)))) | ((~less_3(bitIndex0)) | (v121(constB83, bitIndex0) <=> v124(constB83, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB83, B) <=> v124(constB83, B)))) | (~less_3(bitIndex0)) | (v121(constB83, bitIndex0) <=> v124(constB83, bitIndex0)))),
% 8.80/6.34 inference(rewrite,[status(thm)],[])).
% 8.80/6.34 tff(16730,plain,
% 8.80/6.34 ((~![B: $i] : ((~less_3(B)) | (v121(constB83, B) <=> v124(constB83, B)))) | ((~less_3(bitIndex0)) | (v121(constB83, bitIndex0) <=> v124(constB83, bitIndex0)))),
% 8.80/6.34 inference(quant_inst,[status(thm)],[])).
% 8.80/6.34 tff(16731,plain,
% 8.80/6.34 ((~![B: $i] : ((~less_3(B)) | (v121(constB83, B) <=> v124(constB83, B)))) | (~less_3(bitIndex0)) | (v121(constB83, bitIndex0) <=> v124(constB83, bitIndex0))),
% 8.80/6.34 inference(modus_ponens,[status(thm)],[16730, 16729])).
% 8.80/6.34 tff(16732,plain,
% 8.80/6.34 (v121(constB83, bitIndex0) <=> v124(constB83, bitIndex0)),
% 8.80/6.34 inference(unit_resolution,[status(thm)],[16731, 9772, 16692])).
% 8.80/6.34 tff(16733,plain,
% 8.80/6.34 (((~![B: $i] : ((~less_3(B)) | (v124(constB83, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v124(constB83, bitIndex0) <=> b110(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB83, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v124(constB83, bitIndex0) <=> b110(bitIndex0)))),
% 8.80/6.34 inference(rewrite,[status(thm)],[])).
% 8.80/6.34 tff(16734,plain,
% 8.80/6.34 ((~![B: $i] : ((~less_3(B)) | (v124(constB83, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v124(constB83, bitIndex0) <=> b110(bitIndex0)))),
% 8.80/6.34 inference(quant_inst,[status(thm)],[])).
% 8.80/6.34 tff(16735,plain,
% 8.80/6.34 ((~![B: $i] : ((~less_3(B)) | (v124(constB83, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v124(constB83, bitIndex0) <=> b110(bitIndex0))),
% 8.80/6.34 inference(modus_ponens,[status(thm)],[16734, 16733])).
% 8.80/6.34 tff(16736,plain,
% 8.80/6.34 (v124(constB83, bitIndex0) <=> b110(bitIndex0)),
% 8.80/6.34 inference(unit_resolution,[status(thm)],[16735, 9772, 16701])).
% 8.80/6.34 tff(16737,plain,
% 8.80/6.34 ((~(v124(constB83, bitIndex0) <=> b110(bitIndex0))) | (~v124(constB83, bitIndex0)) | b110(bitIndex0)),
% 8.80/6.34 inference(tautology,[status(thm)],[])).
% 8.80/6.34 tff(16738,plain,
% 8.80/6.34 ((~(v124(constB83, bitIndex0) <=> b110(bitIndex0))) | (~v124(constB83, bitIndex0))),
% 8.80/6.34 inference(unit_resolution,[status(thm)],[16737, 10891])).
% 8.80/6.34 tff(16739,plain,
% 8.80/6.34 (~v124(constB83, bitIndex0)),
% 8.80/6.34 inference(unit_resolution,[status(thm)],[16738, 16736])).
% 8.80/6.34 tff(16740,plain,
% 8.80/6.34 ((~(v121(constB83, bitIndex0) <=> v124(constB83, bitIndex0))) | (~v121(constB83, bitIndex0)) | v124(constB83, bitIndex0)),
% 8.80/6.34 inference(tautology,[status(thm)],[])).
% 8.80/6.34 tff(16741,plain,
% 8.80/6.34 (~v121(constB83, bitIndex0)),
% 8.80/6.34 inference(unit_resolution,[status(thm)],[16740, 16739, 16732])).
% 8.80/6.34 tff(16742,plain,
% 8.80/6.34 ((~(v123(constB84, bitIndex0) <=> v121(constB83, bitIndex0))) | (~v123(constB84, bitIndex0)) | v121(constB83, bitIndex0)),
% 8.80/6.34 inference(tautology,[status(thm)],[])).
% 8.80/6.34 tff(16743,plain,
% 8.80/6.34 (~v123(constB84, bitIndex0)),
% 8.80/6.34 inference(unit_resolution,[status(thm)],[16742, 16741, 16728])).
% 8.80/6.34 tff(16744,plain,
% 8.80/6.34 ((~(v84(constB84, bitIndex0) <=> v123(constB84, bitIndex0))) | (~v84(constB84, bitIndex0)) | v123(constB84, bitIndex0)),
% 8.80/6.34 inference(tautology,[status(thm)],[])).
% 8.80/6.34 tff(16745,plain,
% 8.80/6.34 (~v84(constB84, bitIndex0)),
% 8.80/6.34 inference(unit_resolution,[status(thm)],[16744, 16743, 16724])).
% 8.80/6.34 tff(16746,plain,
% 8.80/6.34 ((~(v84(constB85, bitIndex0) <=> v84(constB84, bitIndex0))) | (~v84(constB85, bitIndex0)) | v84(constB84, bitIndex0)),
% 8.80/6.34 inference(tautology,[status(thm)],[])).
% 8.80/6.34 tff(16747,plain,
% 8.80/6.34 (~v84(constB85, bitIndex0)),
% 8.80/6.34 inference(unit_resolution,[status(thm)],[16746, 16745, 16720])).
% 8.80/6.34 tff(16748,plain,
% 8.80/6.34 (((~![B: $i] : ((~less_3(B)) | (v84(constB85, B) <=> v84(constB84, B)))) | ((~less_3(bitIndex1)) | (v84(constB85, bitIndex1) <=> v84(constB84, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB85, B) <=> v84(constB84, B)))) | (~less_3(bitIndex1)) | (v84(constB85, bitIndex1) <=> v84(constB84, bitIndex1)))),
% 8.80/6.34 inference(rewrite,[status(thm)],[])).
% 8.80/6.34 tff(16749,plain,
% 8.80/6.34 ((~![B: $i] : ((~less_3(B)) | (v84(constB85, B) <=> v84(constB84, B)))) | ((~less_3(bitIndex1)) | (v84(constB85, bitIndex1) <=> v84(constB84, bitIndex1)))),
% 8.80/6.34 inference(quant_inst,[status(thm)],[])).
% 8.80/6.34 tff(16750,plain,
% 8.80/6.34 ((~![B: $i] : ((~less_3(B)) | (v84(constB85, B) <=> v84(constB84, B)))) | (~less_3(bitIndex1)) | (v84(constB85, bitIndex1) <=> v84(constB84, bitIndex1))),
% 8.80/6.34 inference(modus_ponens,[status(thm)],[16749, 16748])).
% 8.80/6.34 tff(16751,plain,
% 8.80/6.34 (v84(constB85, bitIndex1) <=> v84(constB84, bitIndex1)),
% 8.80/6.34 inference(unit_resolution,[status(thm)],[16750, 9785, 5922])).
% 8.80/6.34 tff(16752,plain,
% 8.80/6.34 (((~![B: $i] : ((~less_3(B)) | (v84(constB84, B) <=> v123(constB84, B)))) | ((~less_3(bitIndex1)) | (v84(constB84, bitIndex1) <=> v123(constB84, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB84, B) <=> v123(constB84, B)))) | (~less_3(bitIndex1)) | (v84(constB84, bitIndex1) <=> v123(constB84, bitIndex1)))),
% 8.80/6.34 inference(rewrite,[status(thm)],[])).
% 8.80/6.34 tff(16753,plain,
% 8.80/6.34 ((~![B: $i] : ((~less_3(B)) | (v84(constB84, B) <=> v123(constB84, B)))) | ((~less_3(bitIndex1)) | (v84(constB84, bitIndex1) <=> v123(constB84, bitIndex1)))),
% 8.80/6.34 inference(quant_inst,[status(thm)],[])).
% 8.80/6.34 tff(16754,plain,
% 8.80/6.34 ((~![B: $i] : ((~less_3(B)) | (v84(constB84, B) <=> v123(constB84, B)))) | (~less_3(bitIndex1)) | (v84(constB84, bitIndex1) <=> v123(constB84, bitIndex1))),
% 8.80/6.34 inference(modus_ponens,[status(thm)],[16753, 16752])).
% 8.80/6.34 tff(16755,plain,
% 8.80/6.34 (v84(constB84, bitIndex1) <=> v123(constB84, bitIndex1)),
% 8.80/6.34 inference(unit_resolution,[status(thm)],[16754, 9785, 16676])).
% 8.80/6.34 tff(16756,plain,
% 8.80/6.34 (((~![B: $i] : ((~less_3(B)) | (v123(constB84, B) <=> v121(constB83, B)))) | ((~less_3(bitIndex1)) | (v123(constB84, bitIndex1) <=> v121(constB83, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB84, B) <=> v121(constB83, B)))) | (~less_3(bitIndex1)) | (v123(constB84, bitIndex1) <=> v121(constB83, bitIndex1)))),
% 8.80/6.34 inference(rewrite,[status(thm)],[])).
% 8.80/6.34 tff(16757,plain,
% 8.80/6.34 ((~![B: $i] : ((~less_3(B)) | (v123(constB84, B) <=> v121(constB83, B)))) | ((~less_3(bitIndex1)) | (v123(constB84, bitIndex1) <=> v121(constB83, bitIndex1)))),
% 8.80/6.34 inference(quant_inst,[status(thm)],[])).
% 8.80/6.34 tff(16758,plain,
% 8.80/6.34 ((~![B: $i] : ((~less_3(B)) | (v123(constB84, B) <=> v121(constB83, B)))) | (~less_3(bitIndex1)) | (v123(constB84, bitIndex1) <=> v121(constB83, bitIndex1))),
% 8.80/6.34 inference(modus_ponens,[status(thm)],[16757, 16756])).
% 8.80/6.34 tff(16759,plain,
% 8.80/6.34 (v123(constB84, bitIndex1) <=> v121(constB83, bitIndex1)),
% 8.80/6.34 inference(unit_resolution,[status(thm)],[16758, 9785, 16684])).
% 8.80/6.34 tff(16760,plain,
% 8.80/6.34 (((~![B: $i] : ((~less_3(B)) | (v121(constB83, B) <=> v124(constB83, B)))) | ((~less_3(bitIndex1)) | (v121(constB83, bitIndex1) <=> v124(constB83, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB83, B) <=> v124(constB83, B)))) | (~less_3(bitIndex1)) | (v121(constB83, bitIndex1) <=> v124(constB83, bitIndex1)))),
% 8.80/6.34 inference(rewrite,[status(thm)],[])).
% 8.80/6.34 tff(16761,plain,
% 8.80/6.34 ((~![B: $i] : ((~less_3(B)) | (v121(constB83, B) <=> v124(constB83, B)))) | ((~less_3(bitIndex1)) | (v121(constB83, bitIndex1) <=> v124(constB83, bitIndex1)))),
% 8.80/6.34 inference(quant_inst,[status(thm)],[])).
% 8.80/6.34 tff(16762,plain,
% 8.80/6.34 ((~![B: $i] : ((~less_3(B)) | (v121(constB83, B) <=> v124(constB83, B)))) | (~less_3(bitIndex1)) | (v121(constB83, bitIndex1) <=> v124(constB83, bitIndex1))),
% 8.80/6.34 inference(modus_ponens,[status(thm)],[16761, 16760])).
% 8.80/6.34 tff(16763,plain,
% 8.80/6.34 (v121(constB83, bitIndex1) <=> v124(constB83, bitIndex1)),
% 8.80/6.34 inference(unit_resolution,[status(thm)],[16762, 9785, 16692])).
% 8.80/6.34 tff(16764,plain,
% 8.80/6.34 (((~![B: $i] : ((~less_3(B)) | (v124(constB83, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v124(constB83, bitIndex1) <=> b110(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB83, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v124(constB83, bitIndex1) <=> b110(bitIndex1)))),
% 8.80/6.34 inference(rewrite,[status(thm)],[])).
% 8.80/6.34 tff(16765,plain,
% 8.80/6.34 ((~![B: $i] : ((~less_3(B)) | (v124(constB83, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v124(constB83, bitIndex1) <=> b110(bitIndex1)))),
% 8.80/6.34 inference(quant_inst,[status(thm)],[])).
% 8.80/6.34 tff(16766,plain,
% 8.80/6.34 ((~![B: $i] : ((~less_3(B)) | (v124(constB83, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v124(constB83, bitIndex1) <=> b110(bitIndex1))),
% 8.80/6.34 inference(modus_ponens,[status(thm)],[16765, 16764])).
% 8.80/6.34 tff(16767,plain,
% 8.80/6.34 (v124(constB83, bitIndex1) <=> b110(bitIndex1)),
% 8.80/6.34 inference(unit_resolution,[status(thm)],[16766, 9785, 16701])).
% 8.80/6.34 tff(16768,plain,
% 8.80/6.34 ((~(v124(constB83, bitIndex1) <=> b110(bitIndex1))) | v124(constB83, bitIndex1) | (~b110(bitIndex1))),
% 8.80/6.34 inference(tautology,[status(thm)],[])).
% 8.80/6.34 tff(16769,plain,
% 8.80/6.34 ((~(v124(constB83, bitIndex1) <=> b110(bitIndex1))) | v124(constB83, bitIndex1)),
% 8.80/6.34 inference(unit_resolution,[status(thm)],[16768, 10925])).
% 8.80/6.34 tff(16770,plain,
% 8.80/6.34 (v124(constB83, bitIndex1)),
% 8.80/6.34 inference(unit_resolution,[status(thm)],[16769, 16767])).
% 8.80/6.34 tff(16771,plain,
% 8.80/6.34 ((~(v121(constB83, bitIndex1) <=> v124(constB83, bitIndex1))) | v121(constB83, bitIndex1) | (~v124(constB83, bitIndex1))),
% 8.80/6.34 inference(tautology,[status(thm)],[])).
% 8.80/6.34 tff(16772,plain,
% 8.80/6.34 (v121(constB83, bitIndex1)),
% 8.80/6.34 inference(unit_resolution,[status(thm)],[16771, 16770, 16763])).
% 8.80/6.34 tff(16773,plain,
% 8.80/6.34 ((~(v123(constB84, bitIndex1) <=> v121(constB83, bitIndex1))) | v123(constB84, bitIndex1) | (~v121(constB83, bitIndex1))),
% 8.80/6.34 inference(tautology,[status(thm)],[])).
% 8.80/6.34 tff(16774,plain,
% 8.80/6.34 (v123(constB84, bitIndex1)),
% 8.80/6.34 inference(unit_resolution,[status(thm)],[16773, 16772, 16759])).
% 8.80/6.34 tff(16775,plain,
% 8.80/6.34 ((~(v84(constB84, bitIndex1) <=> v123(constB84, bitIndex1))) | v84(constB84, bitIndex1) | (~v123(constB84, bitIndex1))),
% 8.80/6.34 inference(tautology,[status(thm)],[])).
% 8.80/6.34 tff(16776,plain,
% 8.80/6.34 (v84(constB84, bitIndex1)),
% 8.80/6.34 inference(unit_resolution,[status(thm)],[16775, 16774, 16755])).
% 8.80/6.34 tff(16777,plain,
% 8.80/6.34 ((~(v84(constB85, bitIndex1) <=> v84(constB84, bitIndex1))) | v84(constB85, bitIndex1) | (~v84(constB84, bitIndex1))),
% 8.80/6.34 inference(tautology,[status(thm)],[])).
% 8.80/6.34 tff(16778,plain,
% 8.80/6.34 (v84(constB85, bitIndex1)),
% 8.80/6.34 inference(unit_resolution,[status(thm)],[16777, 16776, 16751])).
% 8.80/6.34 tff(16779,plain,
% 8.80/6.34 ((~((~v84(constB85, bitIndex2)) | (~v84(constB85, bitIndex1)) | v84(constB85, bitIndex0))) | (~v84(constB85, bitIndex2)) | (~v84(constB85, bitIndex1)) | v84(constB85, bitIndex0)),
% 8.80/6.34 inference(tautology,[status(thm)],[])).
% 8.80/6.34 tff(16780,plain,
% 8.80/6.34 (~((~v84(constB85, bitIndex2)) | (~v84(constB85, bitIndex1)) | v84(constB85, bitIndex0))),
% 8.80/6.34 inference(unit_resolution,[status(thm)],[16779, 16778, 16747, 16716])).
% 8.80/6.34 tff(16781,plain,
% 8.80/6.34 ((~(v119(constB85) <=> (~((~v84(constB85, bitIndex2)) | (~v84(constB85, bitIndex1)) | v84(constB85, bitIndex0))))) | v119(constB85) | ((~v84(constB85, bitIndex2)) | (~v84(constB85, bitIndex1)) | v84(constB85, bitIndex0))),
% 8.80/6.34 inference(tautology,[status(thm)],[])).
% 8.80/6.34 tff(16782,plain,
% 8.80/6.34 (v119(constB85)),
% 8.80/6.34 inference(unit_resolution,[status(thm)],[16781, 16780, 5894])).
% 8.80/6.34 tff(16783,plain,
% 8.80/6.34 ((v108(constB85) | v119(constB85)) | (~v119(constB85))),
% 8.80/6.34 inference(tautology,[status(thm)],[])).
% 8.80/6.34 tff(16784,plain,
% 8.80/6.34 (v108(constB85) | v119(constB85)),
% 8.80/6.34 inference(unit_resolution,[status(thm)],[16783, 16782])).
% 8.80/6.34 tff(16785,plain,
% 8.80/6.34 ((~(v107(constB85) <=> (v108(constB85) | v119(constB85)))) | v107(constB85) | (~(v108(constB85) | v119(constB85)))),
% 8.80/6.34 inference(tautology,[status(thm)],[])).
% 8.80/6.34 tff(16786,plain,
% 8.80/6.34 (v107(constB85)),
% 8.80/6.34 inference(unit_resolution,[status(thm)],[16785, 16784, 5887])).
% 8.80/6.34 tff(16787,plain,
% 8.80/6.34 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB85)) <=> v105(constB85))),
% 8.80/6.34 inference(quant_inst,[status(thm)],[])).
% 8.80/6.34 tff(16788,plain,
% 8.80/6.34 ((~v120(constB85)) <=> v105(constB85)),
% 8.80/6.34 inference(unit_resolution,[status(thm)],[16787, 9842])).
% 8.80/6.34 tff(16789,plain,
% 8.80/6.34 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB85) <=> v26(constB85))),
% 8.80/6.34 inference(quant_inst,[status(thm)],[])).
% 8.80/6.34 tff(16790,plain,
% 8.80/6.34 (v105(constB85) <=> v26(constB85)),
% 8.80/6.34 inference(unit_resolution,[status(thm)],[16789, 9854])).
% 8.80/6.34 tff(16791,plain,
% 8.80/6.34 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB85))),
% 8.80/6.34 inference(quant_inst,[status(thm)],[])).
% 8.80/6.34 tff(16792,plain,
% 8.80/6.34 (~v26(constB85)),
% 8.80/6.35 inference(unit_resolution,[status(thm)],[16791, 9866])).
% 8.80/6.35 tff(16793,plain,
% 8.80/6.35 ((~(v105(constB85) <=> v26(constB85))) | (~v105(constB85)) | v26(constB85)),
% 8.80/6.35 inference(tautology,[status(thm)],[])).
% 8.80/6.35 tff(16794,plain,
% 8.80/6.35 ((~(v105(constB85) <=> v26(constB85))) | (~v105(constB85))),
% 8.80/6.35 inference(unit_resolution,[status(thm)],[16793, 16792])).
% 8.80/6.35 tff(16795,plain,
% 8.80/6.35 (~v105(constB85)),
% 8.80/6.35 inference(unit_resolution,[status(thm)],[16794, 16790])).
% 8.80/6.35 tff(16796,plain,
% 8.80/6.35 ((~((~v120(constB85)) <=> v105(constB85))) | v120(constB85) | v105(constB85)),
% 8.80/6.35 inference(tautology,[status(thm)],[])).
% 8.80/6.35 tff(16797,plain,
% 8.80/6.35 ((~((~v120(constB85)) <=> v105(constB85))) | v120(constB85)),
% 8.80/6.35 inference(unit_resolution,[status(thm)],[16796, 16795])).
% 8.80/6.35 tff(16798,plain,
% 8.80/6.35 (v120(constB85)),
% 8.80/6.35 inference(unit_resolution,[status(thm)],[16797, 16788])).
% 8.80/6.35 tff(16799,plain,
% 8.80/6.35 ((~((~v107(constB85)) | (~v120(constB85)))) | (~v107(constB85)) | (~v120(constB85))),
% 8.80/6.35 inference(tautology,[status(thm)],[])).
% 8.80/6.35 tff(16800,plain,
% 8.80/6.35 ((~((~v107(constB85)) | (~v120(constB85)))) | (~v107(constB85))),
% 8.80/6.35 inference(unit_resolution,[status(thm)],[16799, 16798])).
% 8.80/6.35 tff(16801,plain,
% 8.80/6.35 (~((~v107(constB85)) | (~v120(constB85)))),
% 8.80/6.35 inference(unit_resolution,[status(thm)],[16800, 16786])).
% 8.80/6.35 tff(16802,plain,
% 8.80/6.35 ((~(v106(constB85) <=> (~((~v107(constB85)) | (~v120(constB85)))))) | v106(constB85) | ((~v107(constB85)) | (~v120(constB85)))),
% 8.80/6.35 inference(tautology,[status(thm)],[])).
% 8.80/6.35 tff(16803,plain,
% 8.80/6.35 (v106(constB85)),
% 8.80/6.35 inference(unit_resolution,[status(thm)],[16802, 16801, 5885])).
% 8.80/6.35 tff(16804,plain,
% 8.80/6.35 ((v105(constB85) | v106(constB85)) | (~v106(constB85))),
% 8.80/6.35 inference(tautology,[status(thm)],[])).
% 8.80/6.35 tff(16805,plain,
% 8.80/6.35 (v105(constB85) | v106(constB85)),
% 8.80/6.35 inference(unit_resolution,[status(thm)],[16804, 16803])).
% 8.80/6.35 tff(16806,plain,
% 8.80/6.35 ((~(v102(constB85) <=> (v105(constB85) | v106(constB85)))) | v102(constB85) | (~(v105(constB85) | v106(constB85)))),
% 8.80/6.35 inference(tautology,[status(thm)],[])).
% 8.80/6.35 tff(16807,plain,
% 8.80/6.35 (v102(constB85)),
% 8.80/6.35 inference(unit_resolution,[status(thm)],[16806, 16805, 5883])).
% 8.80/6.35 tff(16808,plain,
% 8.80/6.35 ((~(v104(constB86) <=> v102(constB85))) | v104(constB86) | (~v102(constB85))),
% 8.80/6.35 inference(tautology,[status(thm)],[])).
% 8.80/6.35 tff(16809,plain,
% 8.80/6.35 (v104(constB86)),
% 8.80/6.35 inference(unit_resolution,[status(thm)],[16808, 16807, 5881])).
% 8.80/6.35 tff(16810,plain,
% 8.80/6.35 ((~((~v104(constB86)) | (~v95(constB86)))) | (~v104(constB86)) | (~v95(constB86))),
% 8.80/6.35 inference(tautology,[status(thm)],[])).
% 8.80/6.35 tff(16811,plain,
% 8.80/6.35 (~((~v104(constB86)) | (~v95(constB86)))),
% 8.80/6.35 inference(unit_resolution,[status(thm)],[16810, 16809, 5877])).
% 8.80/6.35 tff(16812,plain,
% 8.80/6.35 ((~(v94(constB86) <=> (~((~v104(constB86)) | (~v95(constB86)))))) | v94(constB86) | ((~v104(constB86)) | (~v95(constB86)))),
% 8.80/6.35 inference(tautology,[status(thm)],[])).
% 8.80/6.35 tff(16813,plain,
% 8.80/6.35 (v94(constB86)),
% 8.80/6.35 inference(unit_resolution,[status(thm)],[16812, 16811, 5846])).
% 8.80/6.35 tff(16814,plain,
% 8.80/6.35 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB86)) | ![B: $i] : ((~less_3(B)) | (v84(constB86, B) <=> v123(constB86, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB86)) | ![B: $i] : ((~less_3(B)) | (v84(constB86, B) <=> v123(constB86, B))))),
% 8.80/6.35 inference(rewrite,[status(thm)],[])).
% 8.80/6.35 tff(16815,plain,
% 8.80/6.35 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB86)) | ![B: $i] : ((~less_3(B)) | (v84(constB86, B) <=> v123(constB86, B))))),
% 8.80/6.35 inference(quant_inst,[status(thm)],[])).
% 8.80/6.35 tff(16816,plain,
% 8.80/6.35 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB86)) | ![B: $i] : ((~less_3(B)) | (v84(constB86, B) <=> v123(constB86, B)))),
% 8.80/6.35 inference(modus_ponens,[status(thm)],[16815, 16814])).
% 8.80/6.35 tff(16817,plain,
% 8.80/6.35 ((~v94(constB86)) | ![B: $i] : ((~less_3(B)) | (v84(constB86, B) <=> v123(constB86, B)))),
% 8.80/6.35 inference(unit_resolution,[status(thm)],[16816, 9902])).
% 8.80/6.35 tff(16818,plain,
% 8.80/6.35 (![B: $i] : ((~less_3(B)) | (v84(constB86, B) <=> v123(constB86, B)))),
% 8.80/6.35 inference(unit_resolution,[status(thm)],[16817, 16813])).
% 8.80/6.35 tff(16819,plain,
% 8.80/6.35 (((~![B: $i] : ((~less_3(B)) | (v84(constB86, B) <=> v123(constB86, B)))) | ((~less_3(bitIndex2)) | (v84(constB86, bitIndex2) <=> v123(constB86, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB86, B) <=> v123(constB86, B)))) | (~less_3(bitIndex2)) | (v84(constB86, bitIndex2) <=> v123(constB86, bitIndex2)))),
% 8.80/6.35 inference(rewrite,[status(thm)],[])).
% 8.80/6.35 tff(16820,plain,
% 8.80/6.35 ((~![B: $i] : ((~less_3(B)) | (v84(constB86, B) <=> v123(constB86, B)))) | ((~less_3(bitIndex2)) | (v84(constB86, bitIndex2) <=> v123(constB86, bitIndex2)))),
% 8.80/6.35 inference(quant_inst,[status(thm)],[])).
% 8.80/6.35 tff(16821,plain,
% 8.80/6.35 ((~![B: $i] : ((~less_3(B)) | (v84(constB86, B) <=> v123(constB86, B)))) | (~less_3(bitIndex2)) | (v84(constB86, bitIndex2) <=> v123(constB86, bitIndex2))),
% 8.80/6.35 inference(modus_ponens,[status(thm)],[16820, 16819])).
% 8.80/6.35 tff(16822,plain,
% 8.80/6.35 (v84(constB86, bitIndex2) <=> v123(constB86, bitIndex2)),
% 8.80/6.35 inference(unit_resolution,[status(thm)],[16821, 832, 16818])).
% 8.80/6.35 tff(16823,plain,
% 8.80/6.35 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB85, constB86)) | ![B: $i] : ((~less_3(B)) | (v123(constB86, B) <=> v121(constB85, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB85, constB86)) | ![B: $i] : ((~less_3(B)) | (v123(constB86, B) <=> v121(constB85, B))))),
% 8.80/6.35 inference(rewrite,[status(thm)],[])).
% 8.80/6.35 tff(16824,plain,
% 8.80/6.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB85, constB86)) | ![B: $i] : ((~less_3(B)) | (v123(constB86, B) <=> v121(constB85, B))))),
% 8.80/6.35 inference(quant_inst,[status(thm)],[])).
% 8.80/6.35 tff(16825,plain,
% 8.80/6.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB85, constB86)) | ![B: $i] : ((~less_3(B)) | (v123(constB86, B) <=> v121(constB85, B)))),
% 8.80/6.35 inference(modus_ponens,[status(thm)],[16824, 16823])).
% 8.80/6.35 tff(16826,plain,
% 8.80/6.35 (![B: $i] : ((~less_3(B)) | (v123(constB86, B) <=> v121(constB85, B)))),
% 8.80/6.35 inference(unit_resolution,[status(thm)],[16825, 5842, 9924])).
% 8.80/6.35 tff(16827,plain,
% 8.80/6.35 (((~![B: $i] : ((~less_3(B)) | (v123(constB86, B) <=> v121(constB85, B)))) | ((~less_3(bitIndex2)) | (v123(constB86, bitIndex2) <=> v121(constB85, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB86, B) <=> v121(constB85, B)))) | (~less_3(bitIndex2)) | (v123(constB86, bitIndex2) <=> v121(constB85, bitIndex2)))),
% 8.80/6.35 inference(rewrite,[status(thm)],[])).
% 8.80/6.35 tff(16828,plain,
% 8.80/6.35 ((~![B: $i] : ((~less_3(B)) | (v123(constB86, B) <=> v121(constB85, B)))) | ((~less_3(bitIndex2)) | (v123(constB86, bitIndex2) <=> v121(constB85, bitIndex2)))),
% 8.80/6.35 inference(quant_inst,[status(thm)],[])).
% 8.80/6.35 tff(16829,plain,
% 8.80/6.35 ((~![B: $i] : ((~less_3(B)) | (v123(constB86, B) <=> v121(constB85, B)))) | (~less_3(bitIndex2)) | (v123(constB86, bitIndex2) <=> v121(constB85, bitIndex2))),
% 8.80/6.35 inference(modus_ponens,[status(thm)],[16828, 16827])).
% 8.80/6.35 tff(16830,plain,
% 8.80/6.35 (v123(constB86, bitIndex2) <=> v121(constB85, bitIndex2)),
% 8.80/6.35 inference(unit_resolution,[status(thm)],[16829, 832, 16826])).
% 8.80/6.35 tff(16831,plain,
% 8.80/6.35 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB85) | ![B: $i] : ((~less_3(B)) | (v121(constB85, B) <=> v124(constB85, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB85) | ![B: $i] : ((~less_3(B)) | (v121(constB85, B) <=> v124(constB85, B))))),
% 8.80/6.35 inference(rewrite,[status(thm)],[])).
% 8.80/6.35 tff(16832,plain,
% 8.80/6.35 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB85) | ![B: $i] : ((~less_3(B)) | (v121(constB85, B) <=> v124(constB85, B))))),
% 8.80/6.35 inference(quant_inst,[status(thm)],[])).
% 8.80/6.35 tff(16833,plain,
% 8.80/6.35 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB85) | ![B: $i] : ((~less_3(B)) | (v121(constB85, B) <=> v124(constB85, B)))),
% 8.80/6.35 inference(modus_ponens,[status(thm)],[16832, 16831])).
% 8.80/6.35 tff(16834,plain,
% 8.80/6.35 (![B: $i] : ((~less_3(B)) | (v121(constB85, B) <=> v124(constB85, B)))),
% 8.80/6.35 inference(unit_resolution,[status(thm)],[16833, 9945, 16795])).
% 8.80/6.35 tff(16835,plain,
% 8.80/6.35 (((~![B: $i] : ((~less_3(B)) | (v121(constB85, B) <=> v124(constB85, B)))) | ((~less_3(bitIndex2)) | (v121(constB85, bitIndex2) <=> v124(constB85, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB85, B) <=> v124(constB85, B)))) | (~less_3(bitIndex2)) | (v121(constB85, bitIndex2) <=> v124(constB85, bitIndex2)))),
% 8.80/6.35 inference(rewrite,[status(thm)],[])).
% 8.80/6.35 tff(16836,plain,
% 8.80/6.35 ((~![B: $i] : ((~less_3(B)) | (v121(constB85, B) <=> v124(constB85, B)))) | ((~less_3(bitIndex2)) | (v121(constB85, bitIndex2) <=> v124(constB85, bitIndex2)))),
% 8.80/6.35 inference(quant_inst,[status(thm)],[])).
% 8.80/6.35 tff(16837,plain,
% 8.80/6.35 ((~![B: $i] : ((~less_3(B)) | (v121(constB85, B) <=> v124(constB85, B)))) | (~less_3(bitIndex2)) | (v121(constB85, bitIndex2) <=> v124(constB85, bitIndex2))),
% 8.80/6.35 inference(modus_ponens,[status(thm)],[16836, 16835])).
% 8.80/6.35 tff(16838,plain,
% 8.80/6.35 (v121(constB85, bitIndex2) <=> v124(constB85, bitIndex2)),
% 8.80/6.35 inference(unit_resolution,[status(thm)],[16837, 832, 16834])).
% 8.80/6.35 tff(16839,plain,
% 8.80/6.35 ((~![VarCurr: $i] : (v113(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))))) | (v113(constB85) <=> (~(v84(constB85, bitIndex0) | v84(constB85, bitIndex1) | v84(constB85, bitIndex2))))),
% 8.80/6.35 inference(quant_inst,[status(thm)],[])).
% 8.80/6.35 tff(16840,plain,
% 8.80/6.35 (v113(constB85) <=> (~(v84(constB85, bitIndex0) | v84(constB85, bitIndex1) | v84(constB85, bitIndex2)))),
% 8.80/6.35 inference(unit_resolution,[status(thm)],[16839, 9739])).
% 8.80/6.35 tff(16841,plain,
% 8.80/6.35 ((v84(constB85, bitIndex0) | v84(constB85, bitIndex1) | v84(constB85, bitIndex2)) | (~v84(constB85, bitIndex2))),
% 8.80/6.35 inference(tautology,[status(thm)],[])).
% 8.80/6.35 tff(16842,plain,
% 8.80/6.35 (v84(constB85, bitIndex0) | v84(constB85, bitIndex1) | v84(constB85, bitIndex2)),
% 8.80/6.35 inference(unit_resolution,[status(thm)],[16841, 16716])).
% 8.80/6.35 tff(16843,plain,
% 8.80/6.35 ((~(v113(constB85) <=> (~(v84(constB85, bitIndex0) | v84(constB85, bitIndex1) | v84(constB85, bitIndex2))))) | (~v113(constB85)) | (~(v84(constB85, bitIndex0) | v84(constB85, bitIndex1) | v84(constB85, bitIndex2)))),
% 8.80/6.35 inference(tautology,[status(thm)],[])).
% 8.80/6.35 tff(16844,plain,
% 8.80/6.35 (~v113(constB85)),
% 8.80/6.35 inference(unit_resolution,[status(thm)],[16843, 16842, 16840])).
% 8.80/6.35 tff(16845,plain,
% 8.80/6.35 (((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB85) <=> (~((~v84(constB85, bitIndex2)) | v84(constB85, bitIndex1) | (~v84(constB85, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB85) <=> (~((~v84(constB85, bitIndex2)) | v84(constB85, bitIndex1) | (~v84(constB85, bitIndex0))))))),
% 8.80/6.35 inference(rewrite,[status(thm)],[])).
% 8.80/6.35 tff(16846,plain,
% 8.80/6.35 ((v118(constB85) <=> (~(v84(constB85, bitIndex1) | (~v84(constB85, bitIndex0)) | (~v84(constB85, bitIndex2))))) <=> (v118(constB85) <=> (~((~v84(constB85, bitIndex2)) | v84(constB85, bitIndex1) | (~v84(constB85, bitIndex0)))))),
% 8.80/6.35 inference(rewrite,[status(thm)],[])).
% 8.80/6.35 tff(16847,plain,
% 8.80/6.35 (((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB85) <=> (~(v84(constB85, bitIndex1) | (~v84(constB85, bitIndex0)) | (~v84(constB85, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB85) <=> (~((~v84(constB85, bitIndex2)) | v84(constB85, bitIndex1) | (~v84(constB85, bitIndex0))))))),
% 8.80/6.35 inference(monotonicity,[status(thm)],[16846])).
% 8.80/6.35 tff(16848,plain,
% 8.80/6.35 (((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB85) <=> (~(v84(constB85, bitIndex1) | (~v84(constB85, bitIndex0)) | (~v84(constB85, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB85) <=> (~((~v84(constB85, bitIndex2)) | v84(constB85, bitIndex1) | (~v84(constB85, bitIndex0))))))),
% 8.80/6.35 inference(transitivity,[status(thm)],[16847, 16845])).
% 8.80/6.35 tff(16849,plain,
% 8.80/6.35 ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB85) <=> (~(v84(constB85, bitIndex1) | (~v84(constB85, bitIndex0)) | (~v84(constB85, bitIndex2)))))),
% 8.80/6.35 inference(quant_inst,[status(thm)],[])).
% 8.80/6.35 tff(16850,plain,
% 8.80/6.35 ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB85) <=> (~((~v84(constB85, bitIndex2)) | v84(constB85, bitIndex1) | (~v84(constB85, bitIndex0)))))),
% 8.80/6.35 inference(modus_ponens,[status(thm)],[16849, 16848])).
% 8.80/6.35 tff(16851,plain,
% 8.80/6.35 (v118(constB85) <=> (~((~v84(constB85, bitIndex2)) | v84(constB85, bitIndex1) | (~v84(constB85, bitIndex0))))),
% 8.80/6.35 inference(unit_resolution,[status(thm)],[16850, 960])).
% 8.80/6.35 tff(16852,plain,
% 8.80/6.35 (((~v84(constB85, bitIndex2)) | v84(constB85, bitIndex1) | (~v84(constB85, bitIndex0))) | (~v84(constB85, bitIndex1))),
% 8.80/6.35 inference(tautology,[status(thm)],[])).
% 8.80/6.35 tff(16853,plain,
% 8.80/6.35 ((~v84(constB85, bitIndex2)) | v84(constB85, bitIndex1) | (~v84(constB85, bitIndex0))),
% 8.80/6.35 inference(unit_resolution,[status(thm)],[16852, 16778])).
% 8.80/6.35 tff(16854,plain,
% 8.80/6.35 ((~(v118(constB85) <=> (~((~v84(constB85, bitIndex2)) | v84(constB85, bitIndex1) | (~v84(constB85, bitIndex0)))))) | (~v118(constB85)) | (~((~v84(constB85, bitIndex2)) | v84(constB85, bitIndex1) | (~v84(constB85, bitIndex0))))),
% 8.80/6.35 inference(tautology,[status(thm)],[])).
% 8.80/6.35 tff(16855,plain,
% 8.80/6.35 (~v118(constB85)),
% 8.80/6.35 inference(unit_resolution,[status(thm)],[16854, 16853, 16851])).
% 8.80/6.35 tff(16856,plain,
% 8.80/6.35 (((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB85) <=> (~((~v84(constB85, bitIndex2)) | v84(constB85, bitIndex1) | v84(constB85, bitIndex0))))) <=> ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB85) <=> (~((~v84(constB85, bitIndex2)) | v84(constB85, bitIndex1) | v84(constB85, bitIndex0)))))),
% 8.80/6.35 inference(rewrite,[status(thm)],[])).
% 8.80/6.35 tff(16857,plain,
% 8.80/6.35 ((v117(constB85) <=> (~(v84(constB85, bitIndex0) | v84(constB85, bitIndex1) | (~v84(constB85, bitIndex2))))) <=> (v117(constB85) <=> (~((~v84(constB85, bitIndex2)) | v84(constB85, bitIndex1) | v84(constB85, bitIndex0))))),
% 8.80/6.35 inference(rewrite,[status(thm)],[])).
% 8.80/6.35 tff(16858,plain,
% 8.80/6.35 (((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB85) <=> (~(v84(constB85, bitIndex0) | v84(constB85, bitIndex1) | (~v84(constB85, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB85) <=> (~((~v84(constB85, bitIndex2)) | v84(constB85, bitIndex1) | v84(constB85, bitIndex0)))))),
% 8.80/6.35 inference(monotonicity,[status(thm)],[16857])).
% 8.80/6.35 tff(16859,plain,
% 8.80/6.35 (((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB85) <=> (~(v84(constB85, bitIndex0) | v84(constB85, bitIndex1) | (~v84(constB85, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB85) <=> (~((~v84(constB85, bitIndex2)) | v84(constB85, bitIndex1) | v84(constB85, bitIndex0)))))),
% 8.80/6.35 inference(transitivity,[status(thm)],[16858, 16856])).
% 8.80/6.35 tff(16860,plain,
% 8.80/6.35 ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB85) <=> (~(v84(constB85, bitIndex0) | v84(constB85, bitIndex1) | (~v84(constB85, bitIndex2)))))),
% 8.80/6.35 inference(quant_inst,[status(thm)],[])).
% 8.80/6.35 tff(16861,plain,
% 8.80/6.35 ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB85) <=> (~((~v84(constB85, bitIndex2)) | v84(constB85, bitIndex1) | v84(constB85, bitIndex0))))),
% 8.80/6.35 inference(modus_ponens,[status(thm)],[16860, 16859])).
% 8.80/6.35 tff(16862,plain,
% 8.80/6.35 (v117(constB85) <=> (~((~v84(constB85, bitIndex2)) | v84(constB85, bitIndex1) | v84(constB85, bitIndex0)))),
% 8.80/6.35 inference(unit_resolution,[status(thm)],[16861, 1071])).
% 8.80/6.35 tff(16863,plain,
% 8.80/6.35 (((~v84(constB85, bitIndex2)) | v84(constB85, bitIndex1) | v84(constB85, bitIndex0)) | (~v84(constB85, bitIndex1))),
% 8.80/6.35 inference(tautology,[status(thm)],[])).
% 8.80/6.35 tff(16864,plain,
% 8.80/6.35 ((~v84(constB85, bitIndex2)) | v84(constB85, bitIndex1) | v84(constB85, bitIndex0)),
% 8.80/6.35 inference(unit_resolution,[status(thm)],[16863, 16778])).
% 8.80/6.35 tff(16865,plain,
% 8.80/6.35 ((~(v117(constB85) <=> (~((~v84(constB85, bitIndex2)) | v84(constB85, bitIndex1) | v84(constB85, bitIndex0))))) | (~v117(constB85)) | (~((~v84(constB85, bitIndex2)) | v84(constB85, bitIndex1) | v84(constB85, bitIndex0)))),
% 8.80/6.35 inference(tautology,[status(thm)],[])).
% 8.80/6.35 tff(16866,plain,
% 8.80/6.35 (~v117(constB85)),
% 8.80/6.35 inference(unit_resolution,[status(thm)],[16865, 16864, 16862])).
% 8.80/6.35 tff(16867,plain,
% 8.80/6.35 ((~![VarCurr: $i] : (v116(VarCurr) <=> (~(v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex0)))))) | (v116(constB85) <=> (~(v84(constB85, bitIndex2) | (~v84(constB85, bitIndex1)) | (~v84(constB85, bitIndex0)))))),
% 8.80/6.35 inference(quant_inst,[status(thm)],[])).
% 8.80/6.35 tff(16868,plain,
% 8.80/6.35 (v116(constB85) <=> (~(v84(constB85, bitIndex2) | (~v84(constB85, bitIndex1)) | (~v84(constB85, bitIndex0))))),
% 8.80/6.35 inference(unit_resolution,[status(thm)],[16867, 1184])).
% 8.80/6.35 tff(16869,plain,
% 8.80/6.35 ((v84(constB85, bitIndex2) | (~v84(constB85, bitIndex1)) | (~v84(constB85, bitIndex0))) | (~v84(constB85, bitIndex2))),
% 8.80/6.35 inference(tautology,[status(thm)],[])).
% 8.80/6.35 tff(16870,plain,
% 8.80/6.35 (v84(constB85, bitIndex2) | (~v84(constB85, bitIndex1)) | (~v84(constB85, bitIndex0))),
% 8.80/6.35 inference(unit_resolution,[status(thm)],[16869, 16716])).
% 8.80/6.35 tff(16871,plain,
% 8.80/6.35 ((~(v116(constB85) <=> (~(v84(constB85, bitIndex2) | (~v84(constB85, bitIndex1)) | (~v84(constB85, bitIndex0)))))) | (~v116(constB85)) | (~(v84(constB85, bitIndex2) | (~v84(constB85, bitIndex1)) | (~v84(constB85, bitIndex0))))),
% 8.80/6.35 inference(tautology,[status(thm)],[])).
% 8.80/6.35 tff(16872,plain,
% 8.80/6.35 (~v116(constB85)),
% 8.80/6.35 inference(unit_resolution,[status(thm)],[16871, 16870, 16868])).
% 8.80/6.35 tff(16873,plain,
% 8.80/6.35 (((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB85) <=> (~(v84(constB85, bitIndex2) | (~v84(constB85, bitIndex1)) | v84(constB85, bitIndex0))))) <=> ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB85) <=> (~(v84(constB85, bitIndex2) | (~v84(constB85, bitIndex1)) | v84(constB85, bitIndex0)))))),
% 8.80/6.35 inference(rewrite,[status(thm)],[])).
% 8.80/6.35 tff(16874,plain,
% 8.80/6.35 ((v115(constB85) <=> (~(v84(constB85, bitIndex0) | v84(constB85, bitIndex2) | (~v84(constB85, bitIndex1))))) <=> (v115(constB85) <=> (~(v84(constB85, bitIndex2) | (~v84(constB85, bitIndex1)) | v84(constB85, bitIndex0))))),
% 8.80/6.35 inference(rewrite,[status(thm)],[])).
% 8.80/6.35 tff(16875,plain,
% 8.80/6.35 (((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB85) <=> (~(v84(constB85, bitIndex0) | v84(constB85, bitIndex2) | (~v84(constB85, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB85) <=> (~(v84(constB85, bitIndex2) | (~v84(constB85, bitIndex1)) | v84(constB85, bitIndex0)))))),
% 8.80/6.35 inference(monotonicity,[status(thm)],[16874])).
% 8.80/6.35 tff(16876,plain,
% 8.80/6.35 (((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB85) <=> (~(v84(constB85, bitIndex0) | v84(constB85, bitIndex2) | (~v84(constB85, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB85) <=> (~(v84(constB85, bitIndex2) | (~v84(constB85, bitIndex1)) | v84(constB85, bitIndex0)))))),
% 8.80/6.35 inference(transitivity,[status(thm)],[16875, 16873])).
% 8.80/6.35 tff(16877,plain,
% 8.80/6.35 ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB85) <=> (~(v84(constB85, bitIndex0) | v84(constB85, bitIndex2) | (~v84(constB85, bitIndex1)))))),
% 8.80/6.35 inference(quant_inst,[status(thm)],[])).
% 8.80/6.35 tff(16878,plain,
% 8.80/6.35 ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB85) <=> (~(v84(constB85, bitIndex2) | (~v84(constB85, bitIndex1)) | v84(constB85, bitIndex0))))),
% 8.80/6.35 inference(modus_ponens,[status(thm)],[16877, 16876])).
% 8.80/6.35 tff(16879,plain,
% 8.80/6.35 (v115(constB85) <=> (~(v84(constB85, bitIndex2) | (~v84(constB85, bitIndex1)) | v84(constB85, bitIndex0)))),
% 8.80/6.35 inference(unit_resolution,[status(thm)],[16878, 1294])).
% 8.80/6.35 tff(16880,plain,
% 8.80/6.35 ((v84(constB85, bitIndex2) | (~v84(constB85, bitIndex1)) | v84(constB85, bitIndex0)) | (~v84(constB85, bitIndex2))),
% 8.80/6.35 inference(tautology,[status(thm)],[])).
% 8.80/6.35 tff(16881,plain,
% 8.80/6.35 (v84(constB85, bitIndex2) | (~v84(constB85, bitIndex1)) | v84(constB85, bitIndex0)),
% 8.80/6.35 inference(unit_resolution,[status(thm)],[16880, 16716])).
% 8.80/6.35 tff(16882,plain,
% 8.80/6.35 ((~(v115(constB85) <=> (~(v84(constB85, bitIndex2) | (~v84(constB85, bitIndex1)) | v84(constB85, bitIndex0))))) | (~v115(constB85)) | (~(v84(constB85, bitIndex2) | (~v84(constB85, bitIndex1)) | v84(constB85, bitIndex0)))),
% 8.80/6.35 inference(tautology,[status(thm)],[])).
% 8.80/6.35 tff(16883,plain,
% 8.80/6.35 (~v115(constB85)),
% 8.80/6.35 inference(unit_resolution,[status(thm)],[16882, 16881, 16879])).
% 8.80/6.35 tff(16884,plain,
% 8.80/6.35 (((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB85) <=> (~(v84(constB85, bitIndex2) | v84(constB85, bitIndex1) | (~v84(constB85, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB85) <=> (~(v84(constB85, bitIndex2) | v84(constB85, bitIndex1) | (~v84(constB85, bitIndex0))))))),
% 8.80/6.35 inference(rewrite,[status(thm)],[])).
% 8.80/6.35 tff(16885,plain,
% 8.80/6.35 ((v114(constB85) <=> (~(v84(constB85, bitIndex1) | v84(constB85, bitIndex2) | (~v84(constB85, bitIndex0))))) <=> (v114(constB85) <=> (~(v84(constB85, bitIndex2) | v84(constB85, bitIndex1) | (~v84(constB85, bitIndex0)))))),
% 8.80/6.35 inference(rewrite,[status(thm)],[])).
% 8.80/6.35 tff(16886,plain,
% 8.80/6.35 (((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB85) <=> (~(v84(constB85, bitIndex1) | v84(constB85, bitIndex2) | (~v84(constB85, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB85) <=> (~(v84(constB85, bitIndex2) | v84(constB85, bitIndex1) | (~v84(constB85, bitIndex0))))))),
% 8.80/6.35 inference(monotonicity,[status(thm)],[16885])).
% 8.80/6.35 tff(16887,plain,
% 8.80/6.35 (((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB85) <=> (~(v84(constB85, bitIndex1) | v84(constB85, bitIndex2) | (~v84(constB85, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB85) <=> (~(v84(constB85, bitIndex2) | v84(constB85, bitIndex1) | (~v84(constB85, bitIndex0))))))),
% 8.80/6.35 inference(transitivity,[status(thm)],[16886, 16884])).
% 8.80/6.35 tff(16888,plain,
% 8.80/6.35 ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB85) <=> (~(v84(constB85, bitIndex1) | v84(constB85, bitIndex2) | (~v84(constB85, bitIndex0)))))),
% 8.80/6.35 inference(quant_inst,[status(thm)],[])).
% 8.80/6.35 tff(16889,plain,
% 8.80/6.35 ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB85) <=> (~(v84(constB85, bitIndex2) | v84(constB85, bitIndex1) | (~v84(constB85, bitIndex0)))))),
% 8.80/6.35 inference(modus_ponens,[status(thm)],[16888, 16887])).
% 8.80/6.35 tff(16890,plain,
% 8.80/6.35 (v114(constB85) <=> (~(v84(constB85, bitIndex2) | v84(constB85, bitIndex1) | (~v84(constB85, bitIndex0))))),
% 8.80/6.35 inference(unit_resolution,[status(thm)],[16889, 1411])).
% 8.80/6.35 tff(16891,plain,
% 8.80/6.35 ((v84(constB85, bitIndex2) | v84(constB85, bitIndex1) | (~v84(constB85, bitIndex0))) | (~v84(constB85, bitIndex2))),
% 8.80/6.35 inference(tautology,[status(thm)],[])).
% 8.80/6.35 tff(16892,plain,
% 8.80/6.35 (v84(constB85, bitIndex2) | v84(constB85, bitIndex1) | (~v84(constB85, bitIndex0))),
% 8.80/6.35 inference(unit_resolution,[status(thm)],[16891, 16716])).
% 8.80/6.35 tff(16893,plain,
% 8.80/6.35 ((~(v114(constB85) <=> (~(v84(constB85, bitIndex2) | v84(constB85, bitIndex1) | (~v84(constB85, bitIndex0)))))) | (~v114(constB85)) | (~(v84(constB85, bitIndex2) | v84(constB85, bitIndex1) | (~v84(constB85, bitIndex0))))),
% 8.80/6.35 inference(tautology,[status(thm)],[])).
% 8.80/6.35 tff(16894,plain,
% 8.80/6.35 (~v114(constB85)),
% 8.80/6.35 inference(unit_resolution,[status(thm)],[16893, 16892, 16890])).
% 8.80/6.35 tff(16895,plain,
% 8.80/6.35 (((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | (v113(constB85) | v114(constB85) | v115(constB85) | v116(constB85) | v117(constB85) | v118(constB85) | ![B: $i] : ((~less_3(B)) | (v124(constB85, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | v113(constB85) | v114(constB85) | v115(constB85) | v116(constB85) | v117(constB85) | v118(constB85) | ![B: $i] : ((~less_3(B)) | (v124(constB85, B) <=> b001(B))))),
% 8.80/6.35 inference(rewrite,[status(thm)],[])).
% 8.80/6.35 tff(16896,plain,
% 8.80/6.35 ((v118(constB85) | v117(constB85) | v116(constB85) | v115(constB85) | v114(constB85) | v113(constB85) | ![B: $i] : ((~less_3(B)) | (v124(constB85, B) <=> b001(B)))) <=> (v113(constB85) | v114(constB85) | v115(constB85) | v116(constB85) | v117(constB85) | v118(constB85) | ![B: $i] : ((~less_3(B)) | (v124(constB85, B) <=> b001(B))))),
% 8.80/6.35 inference(rewrite,[status(thm)],[])).
% 8.80/6.35 tff(16897,plain,
% 8.80/6.35 (((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | (v118(constB85) | v117(constB85) | v116(constB85) | v115(constB85) | v114(constB85) | v113(constB85) | ![B: $i] : ((~less_3(B)) | (v124(constB85, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | (v113(constB85) | v114(constB85) | v115(constB85) | v116(constB85) | v117(constB85) | v118(constB85) | ![B: $i] : ((~less_3(B)) | (v124(constB85, B) <=> b001(B)))))),
% 8.80/6.35 inference(monotonicity,[status(thm)],[16896])).
% 8.80/6.35 tff(16898,plain,
% 8.80/6.35 (((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | (v118(constB85) | v117(constB85) | v116(constB85) | v115(constB85) | v114(constB85) | v113(constB85) | ![B: $i] : ((~less_3(B)) | (v124(constB85, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | v113(constB85) | v114(constB85) | v115(constB85) | v116(constB85) | v117(constB85) | v118(constB85) | ![B: $i] : ((~less_3(B)) | (v124(constB85, B) <=> b001(B))))),
% 8.80/6.35 inference(transitivity,[status(thm)],[16897, 16895])).
% 8.80/6.35 tff(16899,plain,
% 8.80/6.35 ((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | (v118(constB85) | v117(constB85) | v116(constB85) | v115(constB85) | v114(constB85) | v113(constB85) | ![B: $i] : ((~less_3(B)) | (v124(constB85, B) <=> b001(B))))),
% 8.80/6.35 inference(quant_inst,[status(thm)],[])).
% 8.80/6.35 tff(16900,plain,
% 8.80/6.35 ((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | v113(constB85) | v114(constB85) | v115(constB85) | v116(constB85) | v117(constB85) | v118(constB85) | ![B: $i] : ((~less_3(B)) | (v124(constB85, B) <=> b001(B)))),
% 8.80/6.35 inference(modus_ponens,[status(thm)],[16899, 16898])).
% 8.80/6.35 tff(16901,plain,
% 8.80/6.35 (v113(constB85) | v114(constB85) | v115(constB85) | v116(constB85) | v117(constB85) | v118(constB85) | ![B: $i] : ((~less_3(B)) | (v124(constB85, B) <=> b001(B)))),
% 8.80/6.35 inference(unit_resolution,[status(thm)],[16900, 11068])).
% 8.80/6.35 tff(16902,plain,
% 8.80/6.35 (![B: $i] : ((~less_3(B)) | (v124(constB85, B) <=> b001(B)))),
% 8.80/6.35 inference(unit_resolution,[status(thm)],[16901, 16894, 16883, 16872, 16866, 16855, 16844])).
% 8.80/6.35 tff(16903,plain,
% 8.80/6.35 (((~![B: $i] : ((~less_3(B)) | (v124(constB85, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v124(constB85, bitIndex2) <=> b001(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB85, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v124(constB85, bitIndex2) <=> b001(bitIndex2)))),
% 8.80/6.35 inference(rewrite,[status(thm)],[])).
% 8.80/6.35 tff(16904,plain,
% 8.80/6.35 ((~![B: $i] : ((~less_3(B)) | (v124(constB85, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v124(constB85, bitIndex2) <=> b001(bitIndex2)))),
% 8.80/6.35 inference(quant_inst,[status(thm)],[])).
% 8.80/6.35 tff(16905,plain,
% 8.80/6.35 ((~![B: $i] : ((~less_3(B)) | (v124(constB85, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v124(constB85, bitIndex2) <=> b001(bitIndex2))),
% 8.80/6.35 inference(modus_ponens,[status(thm)],[16904, 16903])).
% 8.80/6.35 tff(16906,plain,
% 8.80/6.35 (v124(constB85, bitIndex2) <=> b001(bitIndex2)),
% 8.80/6.35 inference(unit_resolution,[status(thm)],[16905, 832, 16902])).
% 8.80/6.35 tff(16907,plain,
% 8.80/6.35 ((~(v124(constB85, bitIndex2) <=> b001(bitIndex2))) | (~v124(constB85, bitIndex2)) | b001(bitIndex2)),
% 8.80/6.35 inference(tautology,[status(thm)],[])).
% 8.80/6.35 tff(16908,plain,
% 8.80/6.35 ((~(v124(constB85, bitIndex2) <=> b001(bitIndex2))) | (~v124(constB85, bitIndex2))),
% 8.80/6.35 inference(unit_resolution,[status(thm)],[16907, 9977])).
% 8.80/6.35 tff(16909,plain,
% 8.80/6.35 (~v124(constB85, bitIndex2)),
% 8.80/6.35 inference(unit_resolution,[status(thm)],[16908, 16906])).
% 8.80/6.35 tff(16910,plain,
% 8.80/6.35 ((~(v121(constB85, bitIndex2) <=> v124(constB85, bitIndex2))) | (~v121(constB85, bitIndex2)) | v124(constB85, bitIndex2)),
% 8.80/6.35 inference(tautology,[status(thm)],[])).
% 8.80/6.35 tff(16911,plain,
% 8.80/6.35 (~v121(constB85, bitIndex2)),
% 8.80/6.35 inference(unit_resolution,[status(thm)],[16910, 16909, 16838])).
% 8.80/6.35 tff(16912,plain,
% 8.80/6.35 ((~(v123(constB86, bitIndex2) <=> v121(constB85, bitIndex2))) | (~v123(constB86, bitIndex2)) | v121(constB85, bitIndex2)),
% 8.80/6.35 inference(tautology,[status(thm)],[])).
% 8.80/6.35 tff(16913,plain,
% 8.80/6.35 (~v123(constB86, bitIndex2)),
% 8.80/6.35 inference(unit_resolution,[status(thm)],[16912, 16911, 16830])).
% 8.80/6.35 tff(16914,plain,
% 8.80/6.35 ((~(v84(constB86, bitIndex2) <=> v123(constB86, bitIndex2))) | (~v84(constB86, bitIndex2)) | v123(constB86, bitIndex2)),
% 8.80/6.35 inference(tautology,[status(thm)],[])).
% 8.80/6.35 tff(16915,plain,
% 8.80/6.35 (~v84(constB86, bitIndex2)),
% 8.80/6.35 inference(unit_resolution,[status(thm)],[16914, 16913, 16822])).
% 8.80/6.35 tff(16916,plain,
% 8.80/6.35 ((~(v84(constB87, bitIndex2) <=> v84(constB86, bitIndex2))) | (~v84(constB87, bitIndex2)) | v84(constB86, bitIndex2)),
% 8.80/6.35 inference(tautology,[status(thm)],[])).
% 8.80/6.36 tff(16917,plain,
% 8.80/6.36 (~v84(constB87, bitIndex2)),
% 8.80/6.36 inference(unit_resolution,[status(thm)],[16916, 16915, 5839])).
% 8.80/6.36 tff(16918,plain,
% 8.80/6.36 (((~![B: $i] : ((~less_3(B)) | (v84(constB87, B) <=> v84(constB86, B)))) | ((~less_3(bitIndex0)) | (v84(constB87, bitIndex0) <=> v84(constB86, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB87, B) <=> v84(constB86, B)))) | (~less_3(bitIndex0)) | (v84(constB87, bitIndex0) <=> v84(constB86, bitIndex0)))),
% 8.80/6.36 inference(rewrite,[status(thm)],[])).
% 8.80/6.36 tff(16919,plain,
% 8.80/6.36 ((~![B: $i] : ((~less_3(B)) | (v84(constB87, B) <=> v84(constB86, B)))) | ((~less_3(bitIndex0)) | (v84(constB87, bitIndex0) <=> v84(constB86, bitIndex0)))),
% 8.80/6.36 inference(quant_inst,[status(thm)],[])).
% 8.80/6.36 tff(16920,plain,
% 8.80/6.36 ((~![B: $i] : ((~less_3(B)) | (v84(constB87, B) <=> v84(constB86, B)))) | (~less_3(bitIndex0)) | (v84(constB87, bitIndex0) <=> v84(constB86, bitIndex0))),
% 8.80/6.36 inference(modus_ponens,[status(thm)],[16919, 16918])).
% 8.80/6.36 tff(16921,plain,
% 8.80/6.36 (v84(constB87, bitIndex0) <=> v84(constB86, bitIndex0)),
% 8.80/6.36 inference(unit_resolution,[status(thm)],[16920, 9772, 5835])).
% 8.80/6.36 tff(16922,plain,
% 8.80/6.36 (((~![B: $i] : ((~less_3(B)) | (v84(constB86, B) <=> v123(constB86, B)))) | ((~less_3(bitIndex0)) | (v84(constB86, bitIndex0) <=> v123(constB86, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB86, B) <=> v123(constB86, B)))) | (~less_3(bitIndex0)) | (v84(constB86, bitIndex0) <=> v123(constB86, bitIndex0)))),
% 8.80/6.36 inference(rewrite,[status(thm)],[])).
% 8.80/6.36 tff(16923,plain,
% 8.80/6.36 ((~![B: $i] : ((~less_3(B)) | (v84(constB86, B) <=> v123(constB86, B)))) | ((~less_3(bitIndex0)) | (v84(constB86, bitIndex0) <=> v123(constB86, bitIndex0)))),
% 8.80/6.36 inference(quant_inst,[status(thm)],[])).
% 8.80/6.36 tff(16924,plain,
% 8.80/6.36 ((~![B: $i] : ((~less_3(B)) | (v84(constB86, B) <=> v123(constB86, B)))) | (~less_3(bitIndex0)) | (v84(constB86, bitIndex0) <=> v123(constB86, bitIndex0))),
% 8.80/6.36 inference(modus_ponens,[status(thm)],[16923, 16922])).
% 8.80/6.36 tff(16925,plain,
% 8.80/6.36 (v84(constB86, bitIndex0) <=> v123(constB86, bitIndex0)),
% 8.80/6.36 inference(unit_resolution,[status(thm)],[16924, 9772, 16818])).
% 8.80/6.36 tff(16926,plain,
% 8.80/6.36 (((~![B: $i] : ((~less_3(B)) | (v123(constB86, B) <=> v121(constB85, B)))) | ((~less_3(bitIndex0)) | (v123(constB86, bitIndex0) <=> v121(constB85, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB86, B) <=> v121(constB85, B)))) | (~less_3(bitIndex0)) | (v123(constB86, bitIndex0) <=> v121(constB85, bitIndex0)))),
% 8.80/6.36 inference(rewrite,[status(thm)],[])).
% 8.80/6.36 tff(16927,plain,
% 8.80/6.36 ((~![B: $i] : ((~less_3(B)) | (v123(constB86, B) <=> v121(constB85, B)))) | ((~less_3(bitIndex0)) | (v123(constB86, bitIndex0) <=> v121(constB85, bitIndex0)))),
% 8.80/6.36 inference(quant_inst,[status(thm)],[])).
% 8.80/6.36 tff(16928,plain,
% 8.80/6.36 ((~![B: $i] : ((~less_3(B)) | (v123(constB86, B) <=> v121(constB85, B)))) | (~less_3(bitIndex0)) | (v123(constB86, bitIndex0) <=> v121(constB85, bitIndex0))),
% 8.80/6.36 inference(modus_ponens,[status(thm)],[16927, 16926])).
% 8.80/6.36 tff(16929,plain,
% 8.80/6.36 (v123(constB86, bitIndex0) <=> v121(constB85, bitIndex0)),
% 8.80/6.36 inference(unit_resolution,[status(thm)],[16928, 9772, 16826])).
% 8.80/6.36 tff(16930,plain,
% 8.80/6.36 (((~![B: $i] : ((~less_3(B)) | (v121(constB85, B) <=> v124(constB85, B)))) | ((~less_3(bitIndex0)) | (v121(constB85, bitIndex0) <=> v124(constB85, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB85, B) <=> v124(constB85, B)))) | (~less_3(bitIndex0)) | (v121(constB85, bitIndex0) <=> v124(constB85, bitIndex0)))),
% 8.80/6.36 inference(rewrite,[status(thm)],[])).
% 8.80/6.36 tff(16931,plain,
% 8.80/6.36 ((~![B: $i] : ((~less_3(B)) | (v121(constB85, B) <=> v124(constB85, B)))) | ((~less_3(bitIndex0)) | (v121(constB85, bitIndex0) <=> v124(constB85, bitIndex0)))),
% 8.80/6.36 inference(quant_inst,[status(thm)],[])).
% 8.80/6.36 tff(16932,plain,
% 8.80/6.36 ((~![B: $i] : ((~less_3(B)) | (v121(constB85, B) <=> v124(constB85, B)))) | (~less_3(bitIndex0)) | (v121(constB85, bitIndex0) <=> v124(constB85, bitIndex0))),
% 8.80/6.36 inference(modus_ponens,[status(thm)],[16931, 16930])).
% 8.80/6.36 tff(16933,plain,
% 8.80/6.36 (v121(constB85, bitIndex0) <=> v124(constB85, bitIndex0)),
% 8.80/6.36 inference(unit_resolution,[status(thm)],[16932, 9772, 16834])).
% 8.80/6.36 tff(16934,plain,
% 8.80/6.36 (((~![B: $i] : ((~less_3(B)) | (v124(constB85, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v124(constB85, bitIndex0) <=> b001(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB85, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v124(constB85, bitIndex0) <=> b001(bitIndex0)))),
% 8.80/6.36 inference(rewrite,[status(thm)],[])).
% 8.80/6.36 tff(16935,plain,
% 8.80/6.36 ((~![B: $i] : ((~less_3(B)) | (v124(constB85, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v124(constB85, bitIndex0) <=> b001(bitIndex0)))),
% 8.80/6.36 inference(quant_inst,[status(thm)],[])).
% 8.80/6.36 tff(16936,plain,
% 8.80/6.36 ((~![B: $i] : ((~less_3(B)) | (v124(constB85, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v124(constB85, bitIndex0) <=> b001(bitIndex0))),
% 8.80/6.36 inference(modus_ponens,[status(thm)],[16935, 16934])).
% 8.80/6.36 tff(16937,plain,
% 8.80/6.36 (v124(constB85, bitIndex0) <=> b001(bitIndex0)),
% 8.80/6.36 inference(unit_resolution,[status(thm)],[16936, 9772, 16902])).
% 8.80/6.36 tff(16938,plain,
% 8.80/6.36 ((~(v124(constB85, bitIndex0) <=> b001(bitIndex0))) | v124(constB85, bitIndex0) | (~b001(bitIndex0))),
% 8.80/6.36 inference(tautology,[status(thm)],[])).
% 8.80/6.36 tff(16939,plain,
% 8.80/6.36 ((~(v124(constB85, bitIndex0) <=> b001(bitIndex0))) | v124(constB85, bitIndex0)),
% 8.80/6.36 inference(unit_resolution,[status(thm)],[16938, 10011])).
% 8.80/6.36 tff(16940,plain,
% 8.80/6.36 (v124(constB85, bitIndex0)),
% 8.80/6.36 inference(unit_resolution,[status(thm)],[16939, 16937])).
% 8.80/6.36 tff(16941,plain,
% 8.80/6.36 ((~(v121(constB85, bitIndex0) <=> v124(constB85, bitIndex0))) | v121(constB85, bitIndex0) | (~v124(constB85, bitIndex0))),
% 8.80/6.36 inference(tautology,[status(thm)],[])).
% 8.80/6.36 tff(16942,plain,
% 8.80/6.36 (v121(constB85, bitIndex0)),
% 8.80/6.36 inference(unit_resolution,[status(thm)],[16941, 16940, 16933])).
% 8.80/6.36 tff(16943,plain,
% 8.80/6.36 ((~(v123(constB86, bitIndex0) <=> v121(constB85, bitIndex0))) | v123(constB86, bitIndex0) | (~v121(constB85, bitIndex0))),
% 8.80/6.36 inference(tautology,[status(thm)],[])).
% 8.80/6.36 tff(16944,plain,
% 8.80/6.36 (v123(constB86, bitIndex0)),
% 8.80/6.36 inference(unit_resolution,[status(thm)],[16943, 16942, 16929])).
% 8.80/6.36 tff(16945,plain,
% 8.80/6.36 ((~(v84(constB86, bitIndex0) <=> v123(constB86, bitIndex0))) | v84(constB86, bitIndex0) | (~v123(constB86, bitIndex0))),
% 8.80/6.36 inference(tautology,[status(thm)],[])).
% 8.80/6.36 tff(16946,plain,
% 8.80/6.36 (v84(constB86, bitIndex0)),
% 8.80/6.36 inference(unit_resolution,[status(thm)],[16945, 16944, 16925])).
% 8.80/6.36 tff(16947,plain,
% 8.80/6.36 ((~(v84(constB87, bitIndex0) <=> v84(constB86, bitIndex0))) | v84(constB87, bitIndex0) | (~v84(constB86, bitIndex0))),
% 8.80/6.36 inference(tautology,[status(thm)],[])).
% 8.80/6.36 tff(16948,plain,
% 8.80/6.36 (v84(constB87, bitIndex0)),
% 8.80/6.36 inference(unit_resolution,[status(thm)],[16947, 16946, 16921])).
% 8.80/6.36 tff(16949,plain,
% 8.80/6.36 (((~![B: $i] : ((~less_3(B)) | (v84(constB87, B) <=> v84(constB86, B)))) | ((~less_3(bitIndex1)) | (v84(constB87, bitIndex1) <=> v84(constB86, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB87, B) <=> v84(constB86, B)))) | (~less_3(bitIndex1)) | (v84(constB87, bitIndex1) <=> v84(constB86, bitIndex1)))),
% 8.80/6.36 inference(rewrite,[status(thm)],[])).
% 8.80/6.36 tff(16950,plain,
% 8.80/6.36 ((~![B: $i] : ((~less_3(B)) | (v84(constB87, B) <=> v84(constB86, B)))) | ((~less_3(bitIndex1)) | (v84(constB87, bitIndex1) <=> v84(constB86, bitIndex1)))),
% 8.80/6.36 inference(quant_inst,[status(thm)],[])).
% 8.80/6.36 tff(16951,plain,
% 8.80/6.36 ((~![B: $i] : ((~less_3(B)) | (v84(constB87, B) <=> v84(constB86, B)))) | (~less_3(bitIndex1)) | (v84(constB87, bitIndex1) <=> v84(constB86, bitIndex1))),
% 8.80/6.36 inference(modus_ponens,[status(thm)],[16950, 16949])).
% 8.80/6.36 tff(16952,plain,
% 8.80/6.36 (v84(constB87, bitIndex1) <=> v84(constB86, bitIndex1)),
% 8.80/6.36 inference(unit_resolution,[status(thm)],[16951, 9785, 5835])).
% 8.80/6.36 tff(16953,plain,
% 8.80/6.36 (((~![B: $i] : ((~less_3(B)) | (v84(constB86, B) <=> v123(constB86, B)))) | ((~less_3(bitIndex1)) | (v84(constB86, bitIndex1) <=> v123(constB86, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB86, B) <=> v123(constB86, B)))) | (~less_3(bitIndex1)) | (v84(constB86, bitIndex1) <=> v123(constB86, bitIndex1)))),
% 8.80/6.36 inference(rewrite,[status(thm)],[])).
% 8.80/6.36 tff(16954,plain,
% 8.80/6.36 ((~![B: $i] : ((~less_3(B)) | (v84(constB86, B) <=> v123(constB86, B)))) | ((~less_3(bitIndex1)) | (v84(constB86, bitIndex1) <=> v123(constB86, bitIndex1)))),
% 8.80/6.36 inference(quant_inst,[status(thm)],[])).
% 8.80/6.36 tff(16955,plain,
% 8.80/6.36 ((~![B: $i] : ((~less_3(B)) | (v84(constB86, B) <=> v123(constB86, B)))) | (~less_3(bitIndex1)) | (v84(constB86, bitIndex1) <=> v123(constB86, bitIndex1))),
% 8.80/6.36 inference(modus_ponens,[status(thm)],[16954, 16953])).
% 8.80/6.36 tff(16956,plain,
% 8.80/6.36 (v84(constB86, bitIndex1) <=> v123(constB86, bitIndex1)),
% 8.80/6.36 inference(unit_resolution,[status(thm)],[16955, 9785, 16818])).
% 8.80/6.36 tff(16957,plain,
% 8.80/6.36 (((~![B: $i] : ((~less_3(B)) | (v123(constB86, B) <=> v121(constB85, B)))) | ((~less_3(bitIndex1)) | (v123(constB86, bitIndex1) <=> v121(constB85, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB86, B) <=> v121(constB85, B)))) | (~less_3(bitIndex1)) | (v123(constB86, bitIndex1) <=> v121(constB85, bitIndex1)))),
% 8.80/6.36 inference(rewrite,[status(thm)],[])).
% 8.80/6.36 tff(16958,plain,
% 8.80/6.36 ((~![B: $i] : ((~less_3(B)) | (v123(constB86, B) <=> v121(constB85, B)))) | ((~less_3(bitIndex1)) | (v123(constB86, bitIndex1) <=> v121(constB85, bitIndex1)))),
% 8.80/6.36 inference(quant_inst,[status(thm)],[])).
% 8.80/6.36 tff(16959,plain,
% 8.80/6.36 ((~![B: $i] : ((~less_3(B)) | (v123(constB86, B) <=> v121(constB85, B)))) | (~less_3(bitIndex1)) | (v123(constB86, bitIndex1) <=> v121(constB85, bitIndex1))),
% 8.80/6.36 inference(modus_ponens,[status(thm)],[16958, 16957])).
% 8.80/6.36 tff(16960,plain,
% 8.80/6.36 (v123(constB86, bitIndex1) <=> v121(constB85, bitIndex1)),
% 8.80/6.36 inference(unit_resolution,[status(thm)],[16959, 9785, 16826])).
% 8.80/6.36 tff(16961,plain,
% 8.80/6.36 (((~![B: $i] : ((~less_3(B)) | (v121(constB85, B) <=> v124(constB85, B)))) | ((~less_3(bitIndex1)) | (v121(constB85, bitIndex1) <=> v124(constB85, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB85, B) <=> v124(constB85, B)))) | (~less_3(bitIndex1)) | (v121(constB85, bitIndex1) <=> v124(constB85, bitIndex1)))),
% 8.80/6.36 inference(rewrite,[status(thm)],[])).
% 8.80/6.36 tff(16962,plain,
% 8.80/6.36 ((~![B: $i] : ((~less_3(B)) | (v121(constB85, B) <=> v124(constB85, B)))) | ((~less_3(bitIndex1)) | (v121(constB85, bitIndex1) <=> v124(constB85, bitIndex1)))),
% 8.80/6.36 inference(quant_inst,[status(thm)],[])).
% 8.80/6.36 tff(16963,plain,
% 8.80/6.36 ((~![B: $i] : ((~less_3(B)) | (v121(constB85, B) <=> v124(constB85, B)))) | (~less_3(bitIndex1)) | (v121(constB85, bitIndex1) <=> v124(constB85, bitIndex1))),
% 8.80/6.36 inference(modus_ponens,[status(thm)],[16962, 16961])).
% 8.80/6.36 tff(16964,plain,
% 8.80/6.36 (v121(constB85, bitIndex1) <=> v124(constB85, bitIndex1)),
% 8.80/6.36 inference(unit_resolution,[status(thm)],[16963, 9785, 16834])).
% 8.80/6.36 tff(16965,plain,
% 8.80/6.36 (((~![B: $i] : ((~less_3(B)) | (v124(constB85, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v124(constB85, bitIndex1) <=> b001(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB85, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v124(constB85, bitIndex1) <=> b001(bitIndex1)))),
% 8.80/6.36 inference(rewrite,[status(thm)],[])).
% 8.80/6.36 tff(16966,plain,
% 8.80/6.36 ((~![B: $i] : ((~less_3(B)) | (v124(constB85, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v124(constB85, bitIndex1) <=> b001(bitIndex1)))),
% 8.80/6.36 inference(quant_inst,[status(thm)],[])).
% 8.80/6.36 tff(16967,plain,
% 8.80/6.36 ((~![B: $i] : ((~less_3(B)) | (v124(constB85, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v124(constB85, bitIndex1) <=> b001(bitIndex1))),
% 8.80/6.36 inference(modus_ponens,[status(thm)],[16966, 16965])).
% 8.80/6.36 tff(16968,plain,
% 8.80/6.36 (v124(constB85, bitIndex1) <=> b001(bitIndex1)),
% 8.80/6.36 inference(unit_resolution,[status(thm)],[16967, 9785, 16902])).
% 8.80/6.36 tff(16969,plain,
% 8.80/6.36 ((~(v124(constB85, bitIndex1) <=> b001(bitIndex1))) | (~v124(constB85, bitIndex1)) | b001(bitIndex1)),
% 8.80/6.36 inference(tautology,[status(thm)],[])).
% 8.80/6.36 tff(16970,plain,
% 8.80/6.36 ((~(v124(constB85, bitIndex1) <=> b001(bitIndex1))) | (~v124(constB85, bitIndex1))),
% 8.80/6.36 inference(unit_resolution,[status(thm)],[16969, 10045])).
% 8.80/6.36 tff(16971,plain,
% 8.80/6.36 (~v124(constB85, bitIndex1)),
% 8.80/6.36 inference(unit_resolution,[status(thm)],[16970, 16968])).
% 8.80/6.36 tff(16972,plain,
% 8.80/6.36 ((~(v121(constB85, bitIndex1) <=> v124(constB85, bitIndex1))) | (~v121(constB85, bitIndex1)) | v124(constB85, bitIndex1)),
% 8.80/6.36 inference(tautology,[status(thm)],[])).
% 8.80/6.36 tff(16973,plain,
% 8.80/6.36 (~v121(constB85, bitIndex1)),
% 8.80/6.36 inference(unit_resolution,[status(thm)],[16972, 16971, 16964])).
% 8.80/6.36 tff(16974,plain,
% 8.80/6.36 ((~(v123(constB86, bitIndex1) <=> v121(constB85, bitIndex1))) | (~v123(constB86, bitIndex1)) | v121(constB85, bitIndex1)),
% 8.80/6.36 inference(tautology,[status(thm)],[])).
% 8.80/6.36 tff(16975,plain,
% 8.80/6.36 (~v123(constB86, bitIndex1)),
% 8.80/6.36 inference(unit_resolution,[status(thm)],[16974, 16973, 16960])).
% 8.80/6.36 tff(16976,plain,
% 8.80/6.36 ((~(v84(constB86, bitIndex1) <=> v123(constB86, bitIndex1))) | (~v84(constB86, bitIndex1)) | v123(constB86, bitIndex1)),
% 8.80/6.36 inference(tautology,[status(thm)],[])).
% 8.80/6.36 tff(16977,plain,
% 8.80/6.36 (~v84(constB86, bitIndex1)),
% 8.80/6.36 inference(unit_resolution,[status(thm)],[16976, 16975, 16956])).
% 8.80/6.36 tff(16978,plain,
% 8.80/6.36 ((~(v84(constB87, bitIndex1) <=> v84(constB86, bitIndex1))) | (~v84(constB87, bitIndex1)) | v84(constB86, bitIndex1)),
% 8.80/6.36 inference(tautology,[status(thm)],[])).
% 8.80/6.36 tff(16979,plain,
% 8.80/6.36 (~v84(constB87, bitIndex1)),
% 8.80/6.36 inference(unit_resolution,[status(thm)],[16978, 16977, 16952])).
% 8.80/6.36 tff(16980,plain,
% 8.80/6.36 ((~(v84(constB87, bitIndex2) | v84(constB87, bitIndex1) | (~v84(constB87, bitIndex0)))) | v84(constB87, bitIndex2) | v84(constB87, bitIndex1) | (~v84(constB87, bitIndex0))),
% 8.80/6.36 inference(tautology,[status(thm)],[])).
% 8.80/6.36 tff(16981,plain,
% 8.80/6.36 (~(v84(constB87, bitIndex2) | v84(constB87, bitIndex1) | (~v84(constB87, bitIndex0)))),
% 8.80/6.36 inference(unit_resolution,[status(thm)],[16980, 16979, 16948, 16917])).
% 8.80/6.36 tff(16982,plain,
% 8.80/6.36 ((~(v114(constB87) <=> (~(v84(constB87, bitIndex2) | v84(constB87, bitIndex1) | (~v84(constB87, bitIndex0)))))) | v114(constB87) | (v84(constB87, bitIndex2) | v84(constB87, bitIndex1) | (~v84(constB87, bitIndex0)))),
% 8.80/6.36 inference(tautology,[status(thm)],[])).
% 8.80/6.36 tff(16983,plain,
% 8.80/6.36 (v114(constB87)),
% 8.80/6.36 inference(unit_resolution,[status(thm)],[16982, 16981, 5807])).
% 8.80/6.36 tff(16984,plain,
% 8.80/6.36 ((v113(constB87) | v114(constB87)) | (~v114(constB87))),
% 8.80/6.36 inference(tautology,[status(thm)],[])).
% 8.80/6.36 tff(16985,plain,
% 8.80/6.36 (v113(constB87) | v114(constB87)),
% 8.80/6.36 inference(unit_resolution,[status(thm)],[16984, 16983])).
% 8.80/6.36 tff(16986,plain,
% 8.80/6.36 ((~(v112(constB87) <=> (v113(constB87) | v114(constB87)))) | v112(constB87) | (~(v113(constB87) | v114(constB87)))),
% 8.80/6.36 inference(tautology,[status(thm)],[])).
% 8.80/6.36 tff(16987,plain,
% 8.80/6.36 (v112(constB87)),
% 8.80/6.36 inference(unit_resolution,[status(thm)],[16986, 16985, 5800])).
% 8.80/6.36 tff(16988,plain,
% 8.80/6.36 ((v112(constB87) | v115(constB87)) | (~v112(constB87))),
% 8.80/6.36 inference(tautology,[status(thm)],[])).
% 8.80/6.36 tff(16989,plain,
% 8.80/6.36 (v112(constB87) | v115(constB87)),
% 8.80/6.36 inference(unit_resolution,[status(thm)],[16988, 16987])).
% 8.80/6.36 tff(16990,plain,
% 8.80/6.36 ((~(v111(constB87) <=> (v112(constB87) | v115(constB87)))) | v111(constB87) | (~(v112(constB87) | v115(constB87)))),
% 8.80/6.36 inference(tautology,[status(thm)],[])).
% 8.80/6.36 tff(16991,plain,
% 8.80/6.36 (v111(constB87)),
% 8.80/6.36 inference(unit_resolution,[status(thm)],[16990, 16989, 5798])).
% 8.80/6.36 tff(16992,plain,
% 8.80/6.36 ((v111(constB87) | v116(constB87)) | (~v111(constB87))),
% 8.80/6.36 inference(tautology,[status(thm)],[])).
% 8.80/6.36 tff(16993,plain,
% 8.80/6.36 (v111(constB87) | v116(constB87)),
% 8.80/6.36 inference(unit_resolution,[status(thm)],[16992, 16991])).
% 8.80/6.36 tff(16994,plain,
% 8.80/6.36 ((~(v110(constB87) <=> (v111(constB87) | v116(constB87)))) | v110(constB87) | (~(v111(constB87) | v116(constB87)))),
% 8.80/6.36 inference(tautology,[status(thm)],[])).
% 8.80/6.36 tff(16995,plain,
% 8.80/6.36 (v110(constB87)),
% 8.80/6.36 inference(unit_resolution,[status(thm)],[16994, 16993, 5796])).
% 8.80/6.36 tff(16996,plain,
% 8.80/6.36 ((v110(constB87) | v117(constB87)) | (~v110(constB87))),
% 8.80/6.36 inference(tautology,[status(thm)],[])).
% 8.80/6.36 tff(16997,plain,
% 8.80/6.36 (v110(constB87) | v117(constB87)),
% 8.80/6.36 inference(unit_resolution,[status(thm)],[16996, 16995])).
% 8.80/6.36 tff(16998,plain,
% 8.80/6.36 ((~(v109(constB87) <=> (v110(constB87) | v117(constB87)))) | v109(constB87) | (~(v110(constB87) | v117(constB87)))),
% 8.80/6.36 inference(tautology,[status(thm)],[])).
% 8.80/6.36 tff(16999,plain,
% 8.80/6.36 (v109(constB87)),
% 8.80/6.36 inference(unit_resolution,[status(thm)],[16998, 16997, 5794])).
% 8.80/6.36 tff(17000,plain,
% 8.80/6.36 ((v109(constB87) | v118(constB87)) | (~v109(constB87))),
% 8.80/6.36 inference(tautology,[status(thm)],[])).
% 8.80/6.36 tff(17001,plain,
% 8.80/6.36 (v109(constB87) | v118(constB87)),
% 8.80/6.36 inference(unit_resolution,[status(thm)],[17000, 16999])).
% 8.80/6.36 tff(17002,plain,
% 8.80/6.36 ((~(v108(constB87) <=> (v109(constB87) | v118(constB87)))) | v108(constB87) | (~(v109(constB87) | v118(constB87)))),
% 8.80/6.36 inference(tautology,[status(thm)],[])).
% 8.80/6.36 tff(17003,plain,
% 8.80/6.36 (v108(constB87)),
% 8.80/6.36 inference(unit_resolution,[status(thm)],[17002, 17001, 5792])).
% 8.80/6.36 tff(17004,plain,
% 8.80/6.36 ((v108(constB87) | v119(constB87)) | (~v108(constB87))),
% 8.80/6.36 inference(tautology,[status(thm)],[])).
% 8.80/6.36 tff(17005,plain,
% 8.80/6.36 (v108(constB87) | v119(constB87)),
% 8.80/6.36 inference(unit_resolution,[status(thm)],[17004, 17003])).
% 8.80/6.36 tff(17006,plain,
% 8.80/6.36 ((~(v107(constB87) <=> (v108(constB87) | v119(constB87)))) | v107(constB87) | (~(v108(constB87) | v119(constB87)))),
% 8.80/6.36 inference(tautology,[status(thm)],[])).
% 8.80/6.36 tff(17007,plain,
% 8.80/6.36 (v107(constB87)),
% 8.80/6.36 inference(unit_resolution,[status(thm)],[17006, 17005, 5790])).
% 8.80/6.36 tff(17008,plain,
% 8.80/6.36 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB87)) <=> v105(constB87))),
% 8.80/6.36 inference(quant_inst,[status(thm)],[])).
% 8.80/6.36 tff(17009,plain,
% 8.80/6.36 ((~v120(constB87)) <=> v105(constB87)),
% 8.80/6.36 inference(unit_resolution,[status(thm)],[17008, 9842])).
% 8.80/6.36 tff(17010,plain,
% 8.80/6.36 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB87) <=> v26(constB87))),
% 8.80/6.36 inference(quant_inst,[status(thm)],[])).
% 8.80/6.36 tff(17011,plain,
% 8.80/6.36 (v105(constB87) <=> v26(constB87)),
% 8.80/6.36 inference(unit_resolution,[status(thm)],[17010, 9854])).
% 8.80/6.36 tff(17012,plain,
% 8.80/6.36 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB87))),
% 8.80/6.36 inference(quant_inst,[status(thm)],[])).
% 8.80/6.36 tff(17013,plain,
% 8.80/6.36 (~v26(constB87)),
% 8.80/6.36 inference(unit_resolution,[status(thm)],[17012, 9866])).
% 8.80/6.36 tff(17014,plain,
% 8.80/6.36 ((~(v105(constB87) <=> v26(constB87))) | (~v105(constB87)) | v26(constB87)),
% 8.80/6.36 inference(tautology,[status(thm)],[])).
% 8.80/6.36 tff(17015,plain,
% 8.80/6.36 ((~(v105(constB87) <=> v26(constB87))) | (~v105(constB87))),
% 8.80/6.36 inference(unit_resolution,[status(thm)],[17014, 17013])).
% 8.80/6.36 tff(17016,plain,
% 8.80/6.36 (~v105(constB87)),
% 8.80/6.36 inference(unit_resolution,[status(thm)],[17015, 17011])).
% 8.80/6.36 tff(17017,plain,
% 8.80/6.36 ((~((~v120(constB87)) <=> v105(constB87))) | v120(constB87) | v105(constB87)),
% 8.80/6.36 inference(tautology,[status(thm)],[])).
% 8.80/6.36 tff(17018,plain,
% 8.80/6.36 ((~((~v120(constB87)) <=> v105(constB87))) | v120(constB87)),
% 8.80/6.36 inference(unit_resolution,[status(thm)],[17017, 17016])).
% 8.80/6.36 tff(17019,plain,
% 8.80/6.36 (v120(constB87)),
% 8.80/6.36 inference(unit_resolution,[status(thm)],[17018, 17009])).
% 8.80/6.36 tff(17020,plain,
% 8.80/6.36 ((~((~v107(constB87)) | (~v120(constB87)))) | (~v107(constB87)) | (~v120(constB87))),
% 8.80/6.36 inference(tautology,[status(thm)],[])).
% 8.80/6.36 tff(17021,plain,
% 8.80/6.36 ((~((~v107(constB87)) | (~v120(constB87)))) | (~v107(constB87))),
% 8.80/6.36 inference(unit_resolution,[status(thm)],[17020, 17019])).
% 8.80/6.36 tff(17022,plain,
% 8.80/6.36 (~((~v107(constB87)) | (~v120(constB87)))),
% 8.80/6.36 inference(unit_resolution,[status(thm)],[17021, 17007])).
% 8.80/6.36 tff(17023,plain,
% 8.80/6.36 ((~(v106(constB87) <=> (~((~v107(constB87)) | (~v120(constB87)))))) | v106(constB87) | ((~v107(constB87)) | (~v120(constB87)))),
% 8.80/6.36 inference(tautology,[status(thm)],[])).
% 8.80/6.36 tff(17024,plain,
% 8.80/6.36 (v106(constB87)),
% 8.80/6.36 inference(unit_resolution,[status(thm)],[17023, 17022, 5788])).
% 8.80/6.36 tff(17025,plain,
% 8.80/6.36 ((v105(constB87) | v106(constB87)) | (~v106(constB87))),
% 8.80/6.36 inference(tautology,[status(thm)],[])).
% 8.80/6.36 tff(17026,plain,
% 8.80/6.36 (v105(constB87) | v106(constB87)),
% 8.80/6.36 inference(unit_resolution,[status(thm)],[17025, 17024])).
% 8.80/6.36 tff(17027,plain,
% 8.80/6.36 ((~(v102(constB87) <=> (v105(constB87) | v106(constB87)))) | v102(constB87) | (~(v105(constB87) | v106(constB87)))),
% 8.80/6.36 inference(tautology,[status(thm)],[])).
% 8.80/6.36 tff(17028,plain,
% 8.80/6.36 (v102(constB87)),
% 8.80/6.36 inference(unit_resolution,[status(thm)],[17027, 17026, 5786])).
% 8.80/6.36 tff(17029,plain,
% 8.80/6.36 ((~(v104(constB88) <=> v102(constB87))) | v104(constB88) | (~v102(constB87))),
% 8.80/6.36 inference(tautology,[status(thm)],[])).
% 8.80/6.36 tff(17030,plain,
% 8.80/6.36 (v104(constB88)),
% 8.80/6.36 inference(unit_resolution,[status(thm)],[17029, 17028, 5784])).
% 8.80/6.36 tff(17031,plain,
% 8.80/6.36 ((~((~v104(constB88)) | (~v95(constB88)))) | (~v104(constB88)) | (~v95(constB88))),
% 8.80/6.36 inference(tautology,[status(thm)],[])).
% 8.80/6.36 tff(17032,plain,
% 8.80/6.36 (~((~v104(constB88)) | (~v95(constB88)))),
% 8.80/6.36 inference(unit_resolution,[status(thm)],[17031, 17030, 5780])).
% 8.80/6.36 tff(17033,plain,
% 8.80/6.36 ((~(v94(constB88) <=> (~((~v104(constB88)) | (~v95(constB88)))))) | v94(constB88) | ((~v104(constB88)) | (~v95(constB88)))),
% 8.80/6.36 inference(tautology,[status(thm)],[])).
% 8.80/6.36 tff(17034,plain,
% 8.80/6.36 (v94(constB88)),
% 8.80/6.36 inference(unit_resolution,[status(thm)],[17033, 17032, 5749])).
% 8.80/6.36 tff(17035,plain,
% 8.80/6.36 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB88)) | ![B: $i] : ((~less_3(B)) | (v84(constB88, B) <=> v123(constB88, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB88)) | ![B: $i] : ((~less_3(B)) | (v84(constB88, B) <=> v123(constB88, B))))),
% 8.80/6.36 inference(rewrite,[status(thm)],[])).
% 8.80/6.36 tff(17036,plain,
% 8.80/6.36 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB88)) | ![B: $i] : ((~less_3(B)) | (v84(constB88, B) <=> v123(constB88, B))))),
% 8.80/6.36 inference(quant_inst,[status(thm)],[])).
% 8.80/6.36 tff(17037,plain,
% 8.80/6.36 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB88)) | ![B: $i] : ((~less_3(B)) | (v84(constB88, B) <=> v123(constB88, B)))),
% 8.80/6.36 inference(modus_ponens,[status(thm)],[17036, 17035])).
% 8.80/6.36 tff(17038,plain,
% 8.80/6.36 ((~v94(constB88)) | ![B: $i] : ((~less_3(B)) | (v84(constB88, B) <=> v123(constB88, B)))),
% 8.80/6.36 inference(unit_resolution,[status(thm)],[17037, 9902])).
% 8.80/6.36 tff(17039,plain,
% 8.80/6.36 (![B: $i] : ((~less_3(B)) | (v84(constB88, B) <=> v123(constB88, B)))),
% 8.80/6.36 inference(unit_resolution,[status(thm)],[17038, 17034])).
% 8.80/6.36 tff(17040,plain,
% 8.80/6.36 (((~![B: $i] : ((~less_3(B)) | (v84(constB88, B) <=> v123(constB88, B)))) | ((~less_3(bitIndex2)) | (v84(constB88, bitIndex2) <=> v123(constB88, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB88, B) <=> v123(constB88, B)))) | (~less_3(bitIndex2)) | (v84(constB88, bitIndex2) <=> v123(constB88, bitIndex2)))),
% 8.80/6.36 inference(rewrite,[status(thm)],[])).
% 8.80/6.36 tff(17041,plain,
% 8.80/6.36 ((~![B: $i] : ((~less_3(B)) | (v84(constB88, B) <=> v123(constB88, B)))) | ((~less_3(bitIndex2)) | (v84(constB88, bitIndex2) <=> v123(constB88, bitIndex2)))),
% 8.80/6.36 inference(quant_inst,[status(thm)],[])).
% 8.80/6.36 tff(17042,plain,
% 8.80/6.36 ((~![B: $i] : ((~less_3(B)) | (v84(constB88, B) <=> v123(constB88, B)))) | (~less_3(bitIndex2)) | (v84(constB88, bitIndex2) <=> v123(constB88, bitIndex2))),
% 8.80/6.36 inference(modus_ponens,[status(thm)],[17041, 17040])).
% 8.80/6.36 tff(17043,plain,
% 8.80/6.36 (v84(constB88, bitIndex2) <=> v123(constB88, bitIndex2)),
% 8.80/6.36 inference(unit_resolution,[status(thm)],[17042, 832, 17039])).
% 8.80/6.36 tff(17044,plain,
% 8.80/6.36 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB87, constB88)) | ![B: $i] : ((~less_3(B)) | (v123(constB88, B) <=> v121(constB87, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB87, constB88)) | ![B: $i] : ((~less_3(B)) | (v123(constB88, B) <=> v121(constB87, B))))),
% 8.80/6.36 inference(rewrite,[status(thm)],[])).
% 8.80/6.36 tff(17045,plain,
% 8.80/6.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB87, constB88)) | ![B: $i] : ((~less_3(B)) | (v123(constB88, B) <=> v121(constB87, B))))),
% 8.80/6.36 inference(quant_inst,[status(thm)],[])).
% 8.80/6.36 tff(17046,plain,
% 8.80/6.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB87, constB88)) | ![B: $i] : ((~less_3(B)) | (v123(constB88, B) <=> v121(constB87, B)))),
% 8.80/6.36 inference(modus_ponens,[status(thm)],[17045, 17044])).
% 8.80/6.36 tff(17047,plain,
% 8.80/6.36 (![B: $i] : ((~less_3(B)) | (v123(constB88, B) <=> v121(constB87, B)))),
% 8.80/6.36 inference(unit_resolution,[status(thm)],[17046, 5745, 9924])).
% 8.80/6.36 tff(17048,plain,
% 8.80/6.36 (((~![B: $i] : ((~less_3(B)) | (v123(constB88, B) <=> v121(constB87, B)))) | ((~less_3(bitIndex2)) | (v123(constB88, bitIndex2) <=> v121(constB87, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB88, B) <=> v121(constB87, B)))) | (~less_3(bitIndex2)) | (v123(constB88, bitIndex2) <=> v121(constB87, bitIndex2)))),
% 8.80/6.36 inference(rewrite,[status(thm)],[])).
% 8.80/6.36 tff(17049,plain,
% 8.80/6.36 ((~![B: $i] : ((~less_3(B)) | (v123(constB88, B) <=> v121(constB87, B)))) | ((~less_3(bitIndex2)) | (v123(constB88, bitIndex2) <=> v121(constB87, bitIndex2)))),
% 8.80/6.36 inference(quant_inst,[status(thm)],[])).
% 8.80/6.36 tff(17050,plain,
% 8.80/6.36 ((~![B: $i] : ((~less_3(B)) | (v123(constB88, B) <=> v121(constB87, B)))) | (~less_3(bitIndex2)) | (v123(constB88, bitIndex2) <=> v121(constB87, bitIndex2))),
% 8.80/6.36 inference(modus_ponens,[status(thm)],[17049, 17048])).
% 8.80/6.36 tff(17051,plain,
% 8.80/6.36 (v123(constB88, bitIndex2) <=> v121(constB87, bitIndex2)),
% 8.80/6.36 inference(unit_resolution,[status(thm)],[17050, 832, 17047])).
% 8.80/6.36 tff(17052,plain,
% 8.80/6.36 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB87) | ![B: $i] : ((~less_3(B)) | (v121(constB87, B) <=> v124(constB87, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB87) | ![B: $i] : ((~less_3(B)) | (v121(constB87, B) <=> v124(constB87, B))))),
% 8.80/6.36 inference(rewrite,[status(thm)],[])).
% 8.80/6.36 tff(17053,plain,
% 8.80/6.36 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB87) | ![B: $i] : ((~less_3(B)) | (v121(constB87, B) <=> v124(constB87, B))))),
% 8.80/6.36 inference(quant_inst,[status(thm)],[])).
% 8.80/6.36 tff(17054,plain,
% 8.80/6.36 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB87) | ![B: $i] : ((~less_3(B)) | (v121(constB87, B) <=> v124(constB87, B)))),
% 8.80/6.36 inference(modus_ponens,[status(thm)],[17053, 17052])).
% 8.80/6.36 tff(17055,plain,
% 8.80/6.36 (![B: $i] : ((~less_3(B)) | (v121(constB87, B) <=> v124(constB87, B)))),
% 8.80/6.36 inference(unit_resolution,[status(thm)],[17054, 9945, 17016])).
% 8.80/6.36 tff(17056,plain,
% 8.80/6.36 (((~![B: $i] : ((~less_3(B)) | (v121(constB87, B) <=> v124(constB87, B)))) | ((~less_3(bitIndex2)) | (v121(constB87, bitIndex2) <=> v124(constB87, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB87, B) <=> v124(constB87, B)))) | (~less_3(bitIndex2)) | (v121(constB87, bitIndex2) <=> v124(constB87, bitIndex2)))),
% 8.80/6.36 inference(rewrite,[status(thm)],[])).
% 8.80/6.36 tff(17057,plain,
% 8.80/6.36 ((~![B: $i] : ((~less_3(B)) | (v121(constB87, B) <=> v124(constB87, B)))) | ((~less_3(bitIndex2)) | (v121(constB87, bitIndex2) <=> v124(constB87, bitIndex2)))),
% 8.80/6.36 inference(quant_inst,[status(thm)],[])).
% 8.80/6.36 tff(17058,plain,
% 8.80/6.36 ((~![B: $i] : ((~less_3(B)) | (v121(constB87, B) <=> v124(constB87, B)))) | (~less_3(bitIndex2)) | (v121(constB87, bitIndex2) <=> v124(constB87, bitIndex2))),
% 8.80/6.36 inference(modus_ponens,[status(thm)],[17057, 17056])).
% 8.80/6.36 tff(17059,plain,
% 8.80/6.36 (v121(constB87, bitIndex2) <=> v124(constB87, bitIndex2)),
% 8.80/6.36 inference(unit_resolution,[status(thm)],[17058, 832, 17055])).
% 8.80/6.36 tff(17060,plain,
% 8.80/6.36 (((~![VarCurr: $i] : ((~v114(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b010(B))))) | ((~v114(constB87)) | ![B: $i] : ((~less_3(B)) | (v124(constB87, B) <=> b010(B))))) <=> ((~![VarCurr: $i] : ((~v114(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b010(B))))) | (~v114(constB87)) | ![B: $i] : ((~less_3(B)) | (v124(constB87, B) <=> b010(B))))),
% 8.80/6.36 inference(rewrite,[status(thm)],[])).
% 8.80/6.36 tff(17061,plain,
% 8.80/6.36 ((~![VarCurr: $i] : ((~v114(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b010(B))))) | ((~v114(constB87)) | ![B: $i] : ((~less_3(B)) | (v124(constB87, B) <=> b010(B))))),
% 8.80/6.36 inference(quant_inst,[status(thm)],[])).
% 8.80/6.36 tff(17062,plain,
% 8.80/6.36 ((~![VarCurr: $i] : ((~v114(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b010(B))))) | (~v114(constB87)) | ![B: $i] : ((~less_3(B)) | (v124(constB87, B) <=> b010(B)))),
% 8.80/6.36 inference(modus_ponens,[status(thm)],[17061, 17060])).
% 8.80/6.36 tff(17063,plain,
% 8.80/6.36 ((~v114(constB87)) | ![B: $i] : ((~less_3(B)) | (v124(constB87, B) <=> b010(B)))),
% 8.80/6.36 inference(unit_resolution,[status(thm)],[17062, 10149])).
% 8.80/6.36 tff(17064,plain,
% 8.80/6.36 (![B: $i] : ((~less_3(B)) | (v124(constB87, B) <=> b010(B)))),
% 8.80/6.36 inference(unit_resolution,[status(thm)],[17063, 16983])).
% 8.80/6.36 tff(17065,plain,
% 8.80/6.36 (((~![B: $i] : ((~less_3(B)) | (v124(constB87, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v124(constB87, bitIndex2) <=> b010(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB87, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v124(constB87, bitIndex2) <=> b010(bitIndex2)))),
% 8.80/6.36 inference(rewrite,[status(thm)],[])).
% 8.80/6.36 tff(17066,plain,
% 8.80/6.36 ((~![B: $i] : ((~less_3(B)) | (v124(constB87, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v124(constB87, bitIndex2) <=> b010(bitIndex2)))),
% 8.80/6.36 inference(quant_inst,[status(thm)],[])).
% 8.80/6.36 tff(17067,plain,
% 8.80/6.36 ((~![B: $i] : ((~less_3(B)) | (v124(constB87, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v124(constB87, bitIndex2) <=> b010(bitIndex2))),
% 8.80/6.36 inference(modus_ponens,[status(thm)],[17066, 17065])).
% 8.80/6.36 tff(17068,plain,
% 8.80/6.36 (v124(constB87, bitIndex2) <=> b010(bitIndex2)),
% 8.80/6.36 inference(unit_resolution,[status(thm)],[17067, 832, 17064])).
% 8.80/6.36 tff(17069,plain,
% 8.80/6.36 ((~(v124(constB87, bitIndex2) <=> b010(bitIndex2))) | (~v124(constB87, bitIndex2)) | b010(bitIndex2)),
% 8.80/6.36 inference(tautology,[status(thm)],[])).
% 8.80/6.36 tff(17070,plain,
% 8.80/6.36 ((~(v124(constB87, bitIndex2) <=> b010(bitIndex2))) | (~v124(constB87, bitIndex2))),
% 8.80/6.36 inference(unit_resolution,[status(thm)],[17069, 10161])).
% 8.80/6.36 tff(17071,plain,
% 8.80/6.36 (~v124(constB87, bitIndex2)),
% 8.80/6.36 inference(unit_resolution,[status(thm)],[17070, 17068])).
% 8.80/6.36 tff(17072,plain,
% 8.80/6.36 ((~(v121(constB87, bitIndex2) <=> v124(constB87, bitIndex2))) | (~v121(constB87, bitIndex2)) | v124(constB87, bitIndex2)),
% 8.80/6.36 inference(tautology,[status(thm)],[])).
% 8.80/6.36 tff(17073,plain,
% 8.80/6.36 (~v121(constB87, bitIndex2)),
% 8.80/6.36 inference(unit_resolution,[status(thm)],[17072, 17071, 17059])).
% 8.80/6.36 tff(17074,plain,
% 8.80/6.36 ((~(v123(constB88, bitIndex2) <=> v121(constB87, bitIndex2))) | (~v123(constB88, bitIndex2)) | v121(constB87, bitIndex2)),
% 8.80/6.36 inference(tautology,[status(thm)],[])).
% 8.80/6.36 tff(17075,plain,
% 8.80/6.36 (~v123(constB88, bitIndex2)),
% 8.80/6.36 inference(unit_resolution,[status(thm)],[17074, 17073, 17051])).
% 8.80/6.36 tff(17076,plain,
% 8.80/6.36 ((~(v84(constB88, bitIndex2) <=> v123(constB88, bitIndex2))) | (~v84(constB88, bitIndex2)) | v123(constB88, bitIndex2)),
% 8.80/6.36 inference(tautology,[status(thm)],[])).
% 8.80/6.36 tff(17077,plain,
% 8.80/6.36 (~v84(constB88, bitIndex2)),
% 8.80/6.36 inference(unit_resolution,[status(thm)],[17076, 17075, 17043])).
% 8.80/6.36 tff(17078,plain,
% 8.80/6.36 ((~(v84(constB89, bitIndex2) <=> v84(constB88, bitIndex2))) | (~v84(constB89, bitIndex2)) | v84(constB88, bitIndex2)),
% 8.80/6.36 inference(tautology,[status(thm)],[])).
% 8.80/6.36 tff(17079,plain,
% 8.80/6.36 (~v84(constB89, bitIndex2)),
% 8.80/6.36 inference(unit_resolution,[status(thm)],[17078, 17077, 5742])).
% 8.80/6.36 tff(17080,plain,
% 8.80/6.36 (((~![B: $i] : ((~less_3(B)) | (v84(constB89, B) <=> v84(constB88, B)))) | ((~less_3(bitIndex0)) | (v84(constB89, bitIndex0) <=> v84(constB88, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB89, B) <=> v84(constB88, B)))) | (~less_3(bitIndex0)) | (v84(constB89, bitIndex0) <=> v84(constB88, bitIndex0)))),
% 8.80/6.36 inference(rewrite,[status(thm)],[])).
% 8.80/6.36 tff(17081,plain,
% 8.80/6.36 ((~![B: $i] : ((~less_3(B)) | (v84(constB89, B) <=> v84(constB88, B)))) | ((~less_3(bitIndex0)) | (v84(constB89, bitIndex0) <=> v84(constB88, bitIndex0)))),
% 8.80/6.36 inference(quant_inst,[status(thm)],[])).
% 8.80/6.36 tff(17082,plain,
% 8.80/6.36 ((~![B: $i] : ((~less_3(B)) | (v84(constB89, B) <=> v84(constB88, B)))) | (~less_3(bitIndex0)) | (v84(constB89, bitIndex0) <=> v84(constB88, bitIndex0))),
% 8.80/6.36 inference(modus_ponens,[status(thm)],[17081, 17080])).
% 8.80/6.36 tff(17083,plain,
% 8.80/6.36 (v84(constB89, bitIndex0) <=> v84(constB88, bitIndex0)),
% 8.80/6.36 inference(unit_resolution,[status(thm)],[17082, 9772, 5738])).
% 8.80/6.36 tff(17084,plain,
% 8.80/6.36 (((~![B: $i] : ((~less_3(B)) | (v84(constB88, B) <=> v123(constB88, B)))) | ((~less_3(bitIndex0)) | (v84(constB88, bitIndex0) <=> v123(constB88, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB88, B) <=> v123(constB88, B)))) | (~less_3(bitIndex0)) | (v84(constB88, bitIndex0) <=> v123(constB88, bitIndex0)))),
% 8.80/6.37 inference(rewrite,[status(thm)],[])).
% 8.80/6.37 tff(17085,plain,
% 8.80/6.37 ((~![B: $i] : ((~less_3(B)) | (v84(constB88, B) <=> v123(constB88, B)))) | ((~less_3(bitIndex0)) | (v84(constB88, bitIndex0) <=> v123(constB88, bitIndex0)))),
% 8.80/6.37 inference(quant_inst,[status(thm)],[])).
% 8.80/6.37 tff(17086,plain,
% 8.80/6.37 ((~![B: $i] : ((~less_3(B)) | (v84(constB88, B) <=> v123(constB88, B)))) | (~less_3(bitIndex0)) | (v84(constB88, bitIndex0) <=> v123(constB88, bitIndex0))),
% 8.80/6.37 inference(modus_ponens,[status(thm)],[17085, 17084])).
% 8.80/6.37 tff(17087,plain,
% 8.80/6.37 (v84(constB88, bitIndex0) <=> v123(constB88, bitIndex0)),
% 8.80/6.37 inference(unit_resolution,[status(thm)],[17086, 9772, 17039])).
% 8.80/6.37 tff(17088,plain,
% 8.80/6.37 (((~![B: $i] : ((~less_3(B)) | (v123(constB88, B) <=> v121(constB87, B)))) | ((~less_3(bitIndex0)) | (v123(constB88, bitIndex0) <=> v121(constB87, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB88, B) <=> v121(constB87, B)))) | (~less_3(bitIndex0)) | (v123(constB88, bitIndex0) <=> v121(constB87, bitIndex0)))),
% 8.80/6.37 inference(rewrite,[status(thm)],[])).
% 8.80/6.37 tff(17089,plain,
% 8.80/6.37 ((~![B: $i] : ((~less_3(B)) | (v123(constB88, B) <=> v121(constB87, B)))) | ((~less_3(bitIndex0)) | (v123(constB88, bitIndex0) <=> v121(constB87, bitIndex0)))),
% 8.80/6.37 inference(quant_inst,[status(thm)],[])).
% 8.80/6.37 tff(17090,plain,
% 8.80/6.37 ((~![B: $i] : ((~less_3(B)) | (v123(constB88, B) <=> v121(constB87, B)))) | (~less_3(bitIndex0)) | (v123(constB88, bitIndex0) <=> v121(constB87, bitIndex0))),
% 8.80/6.37 inference(modus_ponens,[status(thm)],[17089, 17088])).
% 8.80/6.37 tff(17091,plain,
% 8.80/6.37 (v123(constB88, bitIndex0) <=> v121(constB87, bitIndex0)),
% 8.80/6.37 inference(unit_resolution,[status(thm)],[17090, 9772, 17047])).
% 8.80/6.37 tff(17092,plain,
% 8.80/6.37 (((~![B: $i] : ((~less_3(B)) | (v121(constB87, B) <=> v124(constB87, B)))) | ((~less_3(bitIndex0)) | (v121(constB87, bitIndex0) <=> v124(constB87, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB87, B) <=> v124(constB87, B)))) | (~less_3(bitIndex0)) | (v121(constB87, bitIndex0) <=> v124(constB87, bitIndex0)))),
% 8.80/6.37 inference(rewrite,[status(thm)],[])).
% 8.80/6.37 tff(17093,plain,
% 8.80/6.37 ((~![B: $i] : ((~less_3(B)) | (v121(constB87, B) <=> v124(constB87, B)))) | ((~less_3(bitIndex0)) | (v121(constB87, bitIndex0) <=> v124(constB87, bitIndex0)))),
% 8.80/6.37 inference(quant_inst,[status(thm)],[])).
% 8.80/6.37 tff(17094,plain,
% 8.80/6.37 ((~![B: $i] : ((~less_3(B)) | (v121(constB87, B) <=> v124(constB87, B)))) | (~less_3(bitIndex0)) | (v121(constB87, bitIndex0) <=> v124(constB87, bitIndex0))),
% 8.80/6.37 inference(modus_ponens,[status(thm)],[17093, 17092])).
% 8.80/6.37 tff(17095,plain,
% 8.80/6.37 (v121(constB87, bitIndex0) <=> v124(constB87, bitIndex0)),
% 8.80/6.37 inference(unit_resolution,[status(thm)],[17094, 9772, 17055])).
% 8.80/6.37 tff(17096,plain,
% 8.80/6.37 (((~![B: $i] : ((~less_3(B)) | (v124(constB87, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v124(constB87, bitIndex0) <=> b010(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB87, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v124(constB87, bitIndex0) <=> b010(bitIndex0)))),
% 8.80/6.37 inference(rewrite,[status(thm)],[])).
% 8.80/6.37 tff(17097,plain,
% 8.80/6.37 ((~![B: $i] : ((~less_3(B)) | (v124(constB87, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v124(constB87, bitIndex0) <=> b010(bitIndex0)))),
% 8.80/6.37 inference(quant_inst,[status(thm)],[])).
% 8.80/6.37 tff(17098,plain,
% 8.80/6.37 ((~![B: $i] : ((~less_3(B)) | (v124(constB87, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v124(constB87, bitIndex0) <=> b010(bitIndex0))),
% 8.80/6.37 inference(modus_ponens,[status(thm)],[17097, 17096])).
% 8.80/6.37 tff(17099,plain,
% 8.80/6.37 (v124(constB87, bitIndex0) <=> b010(bitIndex0)),
% 8.80/6.37 inference(unit_resolution,[status(thm)],[17098, 9772, 17064])).
% 8.80/6.37 tff(17100,plain,
% 8.80/6.37 ((~(v124(constB87, bitIndex0) <=> b010(bitIndex0))) | (~v124(constB87, bitIndex0)) | b010(bitIndex0)),
% 8.80/6.37 inference(tautology,[status(thm)],[])).
% 8.80/6.37 tff(17101,plain,
% 8.80/6.37 ((~(v124(constB87, bitIndex0) <=> b010(bitIndex0))) | (~v124(constB87, bitIndex0))),
% 8.80/6.37 inference(unit_resolution,[status(thm)],[17100, 10195])).
% 8.80/6.37 tff(17102,plain,
% 8.80/6.37 (~v124(constB87, bitIndex0)),
% 8.80/6.37 inference(unit_resolution,[status(thm)],[17101, 17099])).
% 8.80/6.37 tff(17103,plain,
% 8.80/6.37 ((~(v121(constB87, bitIndex0) <=> v124(constB87, bitIndex0))) | (~v121(constB87, bitIndex0)) | v124(constB87, bitIndex0)),
% 8.80/6.37 inference(tautology,[status(thm)],[])).
% 8.80/6.37 tff(17104,plain,
% 8.80/6.37 (~v121(constB87, bitIndex0)),
% 8.80/6.37 inference(unit_resolution,[status(thm)],[17103, 17102, 17095])).
% 8.80/6.37 tff(17105,plain,
% 8.80/6.37 ((~(v123(constB88, bitIndex0) <=> v121(constB87, bitIndex0))) | (~v123(constB88, bitIndex0)) | v121(constB87, bitIndex0)),
% 8.80/6.37 inference(tautology,[status(thm)],[])).
% 8.80/6.37 tff(17106,plain,
% 8.80/6.37 (~v123(constB88, bitIndex0)),
% 8.80/6.37 inference(unit_resolution,[status(thm)],[17105, 17104, 17091])).
% 8.80/6.37 tff(17107,plain,
% 8.80/6.37 ((~(v84(constB88, bitIndex0) <=> v123(constB88, bitIndex0))) | (~v84(constB88, bitIndex0)) | v123(constB88, bitIndex0)),
% 8.80/6.37 inference(tautology,[status(thm)],[])).
% 8.80/6.37 tff(17108,plain,
% 8.80/6.37 (~v84(constB88, bitIndex0)),
% 8.80/6.37 inference(unit_resolution,[status(thm)],[17107, 17106, 17087])).
% 8.80/6.37 tff(17109,plain,
% 8.80/6.37 ((~(v84(constB89, bitIndex0) <=> v84(constB88, bitIndex0))) | (~v84(constB89, bitIndex0)) | v84(constB88, bitIndex0)),
% 8.80/6.37 inference(tautology,[status(thm)],[])).
% 8.80/6.37 tff(17110,plain,
% 8.80/6.37 (~v84(constB89, bitIndex0)),
% 8.80/6.37 inference(unit_resolution,[status(thm)],[17109, 17108, 17083])).
% 8.80/6.37 tff(17111,plain,
% 8.80/6.37 (((~![B: $i] : ((~less_3(B)) | (v84(constB89, B) <=> v84(constB88, B)))) | ((~less_3(bitIndex1)) | (v84(constB89, bitIndex1) <=> v84(constB88, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB89, B) <=> v84(constB88, B)))) | (~less_3(bitIndex1)) | (v84(constB89, bitIndex1) <=> v84(constB88, bitIndex1)))),
% 8.80/6.37 inference(rewrite,[status(thm)],[])).
% 8.80/6.37 tff(17112,plain,
% 8.80/6.37 ((~![B: $i] : ((~less_3(B)) | (v84(constB89, B) <=> v84(constB88, B)))) | ((~less_3(bitIndex1)) | (v84(constB89, bitIndex1) <=> v84(constB88, bitIndex1)))),
% 8.80/6.37 inference(quant_inst,[status(thm)],[])).
% 8.80/6.37 tff(17113,plain,
% 8.80/6.37 ((~![B: $i] : ((~less_3(B)) | (v84(constB89, B) <=> v84(constB88, B)))) | (~less_3(bitIndex1)) | (v84(constB89, bitIndex1) <=> v84(constB88, bitIndex1))),
% 8.80/6.37 inference(modus_ponens,[status(thm)],[17112, 17111])).
% 8.80/6.37 tff(17114,plain,
% 8.80/6.37 (v84(constB89, bitIndex1) <=> v84(constB88, bitIndex1)),
% 8.80/6.37 inference(unit_resolution,[status(thm)],[17113, 9785, 5738])).
% 8.80/6.37 tff(17115,plain,
% 8.80/6.37 (((~![B: $i] : ((~less_3(B)) | (v84(constB88, B) <=> v123(constB88, B)))) | ((~less_3(bitIndex1)) | (v84(constB88, bitIndex1) <=> v123(constB88, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB88, B) <=> v123(constB88, B)))) | (~less_3(bitIndex1)) | (v84(constB88, bitIndex1) <=> v123(constB88, bitIndex1)))),
% 8.80/6.37 inference(rewrite,[status(thm)],[])).
% 8.80/6.37 tff(17116,plain,
% 8.80/6.37 ((~![B: $i] : ((~less_3(B)) | (v84(constB88, B) <=> v123(constB88, B)))) | ((~less_3(bitIndex1)) | (v84(constB88, bitIndex1) <=> v123(constB88, bitIndex1)))),
% 8.80/6.37 inference(quant_inst,[status(thm)],[])).
% 8.80/6.37 tff(17117,plain,
% 8.80/6.37 ((~![B: $i] : ((~less_3(B)) | (v84(constB88, B) <=> v123(constB88, B)))) | (~less_3(bitIndex1)) | (v84(constB88, bitIndex1) <=> v123(constB88, bitIndex1))),
% 8.80/6.37 inference(modus_ponens,[status(thm)],[17116, 17115])).
% 8.80/6.37 tff(17118,plain,
% 8.80/6.37 (v84(constB88, bitIndex1) <=> v123(constB88, bitIndex1)),
% 8.80/6.37 inference(unit_resolution,[status(thm)],[17117, 9785, 17039])).
% 8.80/6.37 tff(17119,plain,
% 8.80/6.37 (((~![B: $i] : ((~less_3(B)) | (v123(constB88, B) <=> v121(constB87, B)))) | ((~less_3(bitIndex1)) | (v123(constB88, bitIndex1) <=> v121(constB87, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB88, B) <=> v121(constB87, B)))) | (~less_3(bitIndex1)) | (v123(constB88, bitIndex1) <=> v121(constB87, bitIndex1)))),
% 8.80/6.37 inference(rewrite,[status(thm)],[])).
% 8.80/6.37 tff(17120,plain,
% 8.80/6.37 ((~![B: $i] : ((~less_3(B)) | (v123(constB88, B) <=> v121(constB87, B)))) | ((~less_3(bitIndex1)) | (v123(constB88, bitIndex1) <=> v121(constB87, bitIndex1)))),
% 8.80/6.37 inference(quant_inst,[status(thm)],[])).
% 8.80/6.37 tff(17121,plain,
% 8.80/6.37 ((~![B: $i] : ((~less_3(B)) | (v123(constB88, B) <=> v121(constB87, B)))) | (~less_3(bitIndex1)) | (v123(constB88, bitIndex1) <=> v121(constB87, bitIndex1))),
% 8.80/6.37 inference(modus_ponens,[status(thm)],[17120, 17119])).
% 8.80/6.37 tff(17122,plain,
% 8.80/6.37 (v123(constB88, bitIndex1) <=> v121(constB87, bitIndex1)),
% 8.80/6.37 inference(unit_resolution,[status(thm)],[17121, 9785, 17047])).
% 8.80/6.37 tff(17123,plain,
% 8.80/6.37 (((~![B: $i] : ((~less_3(B)) | (v121(constB87, B) <=> v124(constB87, B)))) | ((~less_3(bitIndex1)) | (v121(constB87, bitIndex1) <=> v124(constB87, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB87, B) <=> v124(constB87, B)))) | (~less_3(bitIndex1)) | (v121(constB87, bitIndex1) <=> v124(constB87, bitIndex1)))),
% 8.80/6.37 inference(rewrite,[status(thm)],[])).
% 8.80/6.37 tff(17124,plain,
% 8.80/6.37 ((~![B: $i] : ((~less_3(B)) | (v121(constB87, B) <=> v124(constB87, B)))) | ((~less_3(bitIndex1)) | (v121(constB87, bitIndex1) <=> v124(constB87, bitIndex1)))),
% 8.80/6.37 inference(quant_inst,[status(thm)],[])).
% 8.80/6.37 tff(17125,plain,
% 8.80/6.37 ((~![B: $i] : ((~less_3(B)) | (v121(constB87, B) <=> v124(constB87, B)))) | (~less_3(bitIndex1)) | (v121(constB87, bitIndex1) <=> v124(constB87, bitIndex1))),
% 8.80/6.37 inference(modus_ponens,[status(thm)],[17124, 17123])).
% 8.80/6.37 tff(17126,plain,
% 8.80/6.37 (v121(constB87, bitIndex1) <=> v124(constB87, bitIndex1)),
% 8.80/6.37 inference(unit_resolution,[status(thm)],[17125, 9785, 17055])).
% 8.80/6.37 tff(17127,plain,
% 8.80/6.37 (((~![B: $i] : ((~less_3(B)) | (v124(constB87, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v124(constB87, bitIndex1) <=> b010(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB87, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v124(constB87, bitIndex1) <=> b010(bitIndex1)))),
% 8.80/6.37 inference(rewrite,[status(thm)],[])).
% 8.80/6.37 tff(17128,plain,
% 8.80/6.37 ((~![B: $i] : ((~less_3(B)) | (v124(constB87, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v124(constB87, bitIndex1) <=> b010(bitIndex1)))),
% 8.80/6.37 inference(quant_inst,[status(thm)],[])).
% 8.80/6.37 tff(17129,plain,
% 8.80/6.37 ((~![B: $i] : ((~less_3(B)) | (v124(constB87, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v124(constB87, bitIndex1) <=> b010(bitIndex1))),
% 8.80/6.37 inference(modus_ponens,[status(thm)],[17128, 17127])).
% 8.80/6.37 tff(17130,plain,
% 8.80/6.37 (v124(constB87, bitIndex1) <=> b010(bitIndex1)),
% 8.80/6.37 inference(unit_resolution,[status(thm)],[17129, 9785, 17064])).
% 8.80/6.37 tff(17131,plain,
% 8.80/6.37 ((~(v124(constB87, bitIndex1) <=> b010(bitIndex1))) | v124(constB87, bitIndex1) | (~b010(bitIndex1))),
% 8.80/6.37 inference(tautology,[status(thm)],[])).
% 8.80/6.37 tff(17132,plain,
% 8.80/6.37 ((~(v124(constB87, bitIndex1) <=> b010(bitIndex1))) | v124(constB87, bitIndex1)),
% 8.80/6.37 inference(unit_resolution,[status(thm)],[17131, 10229])).
% 8.80/6.37 tff(17133,plain,
% 8.80/6.37 (v124(constB87, bitIndex1)),
% 8.80/6.37 inference(unit_resolution,[status(thm)],[17132, 17130])).
% 8.80/6.37 tff(17134,plain,
% 8.80/6.37 ((~(v121(constB87, bitIndex1) <=> v124(constB87, bitIndex1))) | v121(constB87, bitIndex1) | (~v124(constB87, bitIndex1))),
% 8.80/6.37 inference(tautology,[status(thm)],[])).
% 8.80/6.37 tff(17135,plain,
% 8.80/6.37 (v121(constB87, bitIndex1)),
% 8.80/6.37 inference(unit_resolution,[status(thm)],[17134, 17133, 17126])).
% 8.80/6.37 tff(17136,plain,
% 8.80/6.37 ((~(v123(constB88, bitIndex1) <=> v121(constB87, bitIndex1))) | v123(constB88, bitIndex1) | (~v121(constB87, bitIndex1))),
% 8.80/6.37 inference(tautology,[status(thm)],[])).
% 8.80/6.37 tff(17137,plain,
% 8.80/6.37 (v123(constB88, bitIndex1)),
% 8.80/6.37 inference(unit_resolution,[status(thm)],[17136, 17135, 17122])).
% 8.80/6.37 tff(17138,plain,
% 8.80/6.37 ((~(v84(constB88, bitIndex1) <=> v123(constB88, bitIndex1))) | v84(constB88, bitIndex1) | (~v123(constB88, bitIndex1))),
% 8.80/6.37 inference(tautology,[status(thm)],[])).
% 8.80/6.37 tff(17139,plain,
% 8.80/6.37 (v84(constB88, bitIndex1)),
% 8.80/6.37 inference(unit_resolution,[status(thm)],[17138, 17137, 17118])).
% 8.80/6.37 tff(17140,plain,
% 8.80/6.37 ((~(v84(constB89, bitIndex1) <=> v84(constB88, bitIndex1))) | v84(constB89, bitIndex1) | (~v84(constB88, bitIndex1))),
% 8.80/6.37 inference(tautology,[status(thm)],[])).
% 8.80/6.37 tff(17141,plain,
% 8.80/6.37 (v84(constB89, bitIndex1)),
% 8.80/6.37 inference(unit_resolution,[status(thm)],[17140, 17139, 17114])).
% 8.80/6.37 tff(17142,plain,
% 8.80/6.37 ((~(v84(constB89, bitIndex2) | (~v84(constB89, bitIndex1)) | v84(constB89, bitIndex0))) | v84(constB89, bitIndex2) | (~v84(constB89, bitIndex1)) | v84(constB89, bitIndex0)),
% 8.80/6.37 inference(tautology,[status(thm)],[])).
% 8.80/6.37 tff(17143,plain,
% 8.80/6.37 (~(v84(constB89, bitIndex2) | (~v84(constB89, bitIndex1)) | v84(constB89, bitIndex0))),
% 8.80/6.37 inference(unit_resolution,[status(thm)],[17142, 17141, 17110, 17079])).
% 8.80/6.37 tff(17144,plain,
% 8.80/6.37 ((~(v115(constB89) <=> (~(v84(constB89, bitIndex2) | (~v84(constB89, bitIndex1)) | v84(constB89, bitIndex0))))) | v115(constB89) | (v84(constB89, bitIndex2) | (~v84(constB89, bitIndex1)) | v84(constB89, bitIndex0))),
% 8.80/6.37 inference(tautology,[status(thm)],[])).
% 8.80/6.37 tff(17145,plain,
% 8.80/6.37 (v115(constB89)),
% 8.80/6.37 inference(unit_resolution,[status(thm)],[17144, 17143, 5710])).
% 8.80/6.37 tff(17146,plain,
% 8.80/6.37 ((v112(constB89) | v115(constB89)) | (~v115(constB89))),
% 8.80/6.37 inference(tautology,[status(thm)],[])).
% 8.80/6.37 tff(17147,plain,
% 8.80/6.37 (v112(constB89) | v115(constB89)),
% 8.80/6.37 inference(unit_resolution,[status(thm)],[17146, 17145])).
% 8.80/6.37 tff(17148,plain,
% 8.80/6.37 ((~(v111(constB89) <=> (v112(constB89) | v115(constB89)))) | v111(constB89) | (~(v112(constB89) | v115(constB89)))),
% 8.80/6.37 inference(tautology,[status(thm)],[])).
% 8.80/6.37 tff(17149,plain,
% 8.80/6.37 (v111(constB89)),
% 8.80/6.37 inference(unit_resolution,[status(thm)],[17148, 17147, 5703])).
% 8.80/6.37 tff(17150,plain,
% 8.80/6.37 ((v111(constB89) | v116(constB89)) | (~v111(constB89))),
% 8.80/6.37 inference(tautology,[status(thm)],[])).
% 8.80/6.37 tff(17151,plain,
% 8.80/6.37 (v111(constB89) | v116(constB89)),
% 8.80/6.37 inference(unit_resolution,[status(thm)],[17150, 17149])).
% 8.80/6.37 tff(17152,plain,
% 8.80/6.37 ((~(v110(constB89) <=> (v111(constB89) | v116(constB89)))) | v110(constB89) | (~(v111(constB89) | v116(constB89)))),
% 8.80/6.37 inference(tautology,[status(thm)],[])).
% 8.80/6.37 tff(17153,plain,
% 8.80/6.37 (v110(constB89)),
% 8.80/6.37 inference(unit_resolution,[status(thm)],[17152, 17151, 5701])).
% 8.80/6.37 tff(17154,plain,
% 8.80/6.37 ((v110(constB89) | v117(constB89)) | (~v110(constB89))),
% 8.80/6.37 inference(tautology,[status(thm)],[])).
% 8.80/6.37 tff(17155,plain,
% 8.80/6.37 (v110(constB89) | v117(constB89)),
% 8.80/6.37 inference(unit_resolution,[status(thm)],[17154, 17153])).
% 8.80/6.37 tff(17156,plain,
% 8.80/6.37 ((~(v109(constB89) <=> (v110(constB89) | v117(constB89)))) | v109(constB89) | (~(v110(constB89) | v117(constB89)))),
% 8.80/6.37 inference(tautology,[status(thm)],[])).
% 8.80/6.37 tff(17157,plain,
% 8.80/6.37 (v109(constB89)),
% 8.80/6.37 inference(unit_resolution,[status(thm)],[17156, 17155, 5699])).
% 8.80/6.37 tff(17158,plain,
% 8.80/6.37 ((v109(constB89) | v118(constB89)) | (~v109(constB89))),
% 8.80/6.37 inference(tautology,[status(thm)],[])).
% 8.80/6.37 tff(17159,plain,
% 8.80/6.37 (v109(constB89) | v118(constB89)),
% 8.80/6.37 inference(unit_resolution,[status(thm)],[17158, 17157])).
% 8.80/6.37 tff(17160,plain,
% 8.80/6.37 ((~(v108(constB89) <=> (v109(constB89) | v118(constB89)))) | v108(constB89) | (~(v109(constB89) | v118(constB89)))),
% 8.80/6.37 inference(tautology,[status(thm)],[])).
% 8.80/6.37 tff(17161,plain,
% 8.80/6.37 (v108(constB89)),
% 8.80/6.37 inference(unit_resolution,[status(thm)],[17160, 17159, 5697])).
% 8.80/6.37 tff(17162,plain,
% 8.80/6.37 ((v108(constB89) | v119(constB89)) | (~v108(constB89))),
% 8.80/6.37 inference(tautology,[status(thm)],[])).
% 8.80/6.37 tff(17163,plain,
% 8.80/6.37 (v108(constB89) | v119(constB89)),
% 8.80/6.37 inference(unit_resolution,[status(thm)],[17162, 17161])).
% 8.80/6.37 tff(17164,plain,
% 8.80/6.37 ((~(v107(constB89) <=> (v108(constB89) | v119(constB89)))) | v107(constB89) | (~(v108(constB89) | v119(constB89)))),
% 8.80/6.37 inference(tautology,[status(thm)],[])).
% 8.80/6.37 tff(17165,plain,
% 8.80/6.37 (v107(constB89)),
% 8.80/6.37 inference(unit_resolution,[status(thm)],[17164, 17163, 5695])).
% 8.80/6.37 tff(17166,plain,
% 8.80/6.37 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB89)) <=> v105(constB89))),
% 8.80/6.37 inference(quant_inst,[status(thm)],[])).
% 8.80/6.37 tff(17167,plain,
% 8.80/6.37 ((~v120(constB89)) <=> v105(constB89)),
% 8.80/6.37 inference(unit_resolution,[status(thm)],[17166, 9842])).
% 8.80/6.37 tff(17168,plain,
% 8.80/6.37 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB89) <=> v26(constB89))),
% 8.80/6.37 inference(quant_inst,[status(thm)],[])).
% 8.80/6.37 tff(17169,plain,
% 8.80/6.37 (v105(constB89) <=> v26(constB89)),
% 8.80/6.37 inference(unit_resolution,[status(thm)],[17168, 9854])).
% 8.80/6.37 tff(17170,plain,
% 8.80/6.37 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB89))),
% 8.80/6.37 inference(quant_inst,[status(thm)],[])).
% 8.80/6.37 tff(17171,plain,
% 8.80/6.37 (~v26(constB89)),
% 8.80/6.37 inference(unit_resolution,[status(thm)],[17170, 9866])).
% 8.80/6.37 tff(17172,plain,
% 8.80/6.37 ((~(v105(constB89) <=> v26(constB89))) | (~v105(constB89)) | v26(constB89)),
% 8.80/6.37 inference(tautology,[status(thm)],[])).
% 8.80/6.37 tff(17173,plain,
% 8.80/6.37 ((~(v105(constB89) <=> v26(constB89))) | (~v105(constB89))),
% 8.80/6.37 inference(unit_resolution,[status(thm)],[17172, 17171])).
% 8.80/6.37 tff(17174,plain,
% 8.80/6.37 (~v105(constB89)),
% 8.80/6.37 inference(unit_resolution,[status(thm)],[17173, 17169])).
% 8.80/6.37 tff(17175,plain,
% 8.80/6.37 ((~((~v120(constB89)) <=> v105(constB89))) | v120(constB89) | v105(constB89)),
% 8.80/6.37 inference(tautology,[status(thm)],[])).
% 8.80/6.37 tff(17176,plain,
% 8.80/6.37 ((~((~v120(constB89)) <=> v105(constB89))) | v120(constB89)),
% 8.80/6.37 inference(unit_resolution,[status(thm)],[17175, 17174])).
% 8.80/6.37 tff(17177,plain,
% 8.80/6.37 (v120(constB89)),
% 8.80/6.37 inference(unit_resolution,[status(thm)],[17176, 17167])).
% 8.80/6.37 tff(17178,plain,
% 8.80/6.37 ((~((~v107(constB89)) | (~v120(constB89)))) | (~v107(constB89)) | (~v120(constB89))),
% 8.80/6.37 inference(tautology,[status(thm)],[])).
% 8.80/6.37 tff(17179,plain,
% 8.80/6.37 ((~((~v107(constB89)) | (~v120(constB89)))) | (~v107(constB89))),
% 8.80/6.37 inference(unit_resolution,[status(thm)],[17178, 17177])).
% 8.80/6.37 tff(17180,plain,
% 8.80/6.37 (~((~v107(constB89)) | (~v120(constB89)))),
% 8.80/6.37 inference(unit_resolution,[status(thm)],[17179, 17165])).
% 8.80/6.37 tff(17181,plain,
% 8.80/6.37 ((~(v106(constB89) <=> (~((~v107(constB89)) | (~v120(constB89)))))) | v106(constB89) | ((~v107(constB89)) | (~v120(constB89)))),
% 8.80/6.37 inference(tautology,[status(thm)],[])).
% 8.80/6.37 tff(17182,plain,
% 8.80/6.37 (v106(constB89)),
% 8.80/6.37 inference(unit_resolution,[status(thm)],[17181, 17180, 5693])).
% 8.80/6.37 tff(17183,plain,
% 8.80/6.37 ((v105(constB89) | v106(constB89)) | (~v106(constB89))),
% 8.80/6.37 inference(tautology,[status(thm)],[])).
% 8.80/6.37 tff(17184,plain,
% 8.80/6.37 (v105(constB89) | v106(constB89)),
% 8.80/6.37 inference(unit_resolution,[status(thm)],[17183, 17182])).
% 8.80/6.37 tff(17185,plain,
% 8.80/6.37 ((~(v102(constB89) <=> (v105(constB89) | v106(constB89)))) | v102(constB89) | (~(v105(constB89) | v106(constB89)))),
% 8.80/6.37 inference(tautology,[status(thm)],[])).
% 8.80/6.37 tff(17186,plain,
% 8.80/6.37 (v102(constB89)),
% 8.80/6.37 inference(unit_resolution,[status(thm)],[17185, 17184, 5691])).
% 8.80/6.37 tff(17187,plain,
% 8.80/6.37 ((~(v104(constB90) <=> v102(constB89))) | v104(constB90) | (~v102(constB89))),
% 8.80/6.37 inference(tautology,[status(thm)],[])).
% 8.80/6.37 tff(17188,plain,
% 8.80/6.37 (v104(constB90)),
% 8.80/6.37 inference(unit_resolution,[status(thm)],[17187, 17186, 5689])).
% 8.80/6.37 tff(17189,plain,
% 8.80/6.37 ((~((~v104(constB90)) | (~v95(constB90)))) | (~v104(constB90)) | (~v95(constB90))),
% 8.80/6.37 inference(tautology,[status(thm)],[])).
% 8.80/6.37 tff(17190,plain,
% 8.80/6.37 (~((~v104(constB90)) | (~v95(constB90)))),
% 8.80/6.37 inference(unit_resolution,[status(thm)],[17189, 17188, 5685])).
% 8.80/6.37 tff(17191,plain,
% 8.80/6.37 ((~(v94(constB90) <=> (~((~v104(constB90)) | (~v95(constB90)))))) | v94(constB90) | ((~v104(constB90)) | (~v95(constB90)))),
% 8.80/6.37 inference(tautology,[status(thm)],[])).
% 8.80/6.37 tff(17192,plain,
% 8.80/6.37 (v94(constB90)),
% 8.80/6.37 inference(unit_resolution,[status(thm)],[17191, 17190, 5654])).
% 8.80/6.37 tff(17193,plain,
% 8.80/6.37 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB90)) | ![B: $i] : ((~less_3(B)) | (v84(constB90, B) <=> v123(constB90, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB90)) | ![B: $i] : ((~less_3(B)) | (v84(constB90, B) <=> v123(constB90, B))))),
% 8.80/6.37 inference(rewrite,[status(thm)],[])).
% 8.80/6.37 tff(17194,plain,
% 8.80/6.37 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB90)) | ![B: $i] : ((~less_3(B)) | (v84(constB90, B) <=> v123(constB90, B))))),
% 8.80/6.37 inference(quant_inst,[status(thm)],[])).
% 8.80/6.37 tff(17195,plain,
% 8.80/6.37 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB90)) | ![B: $i] : ((~less_3(B)) | (v84(constB90, B) <=> v123(constB90, B)))),
% 8.80/6.37 inference(modus_ponens,[status(thm)],[17194, 17193])).
% 8.80/6.37 tff(17196,plain,
% 8.80/6.37 ((~v94(constB90)) | ![B: $i] : ((~less_3(B)) | (v84(constB90, B) <=> v123(constB90, B)))),
% 8.80/6.37 inference(unit_resolution,[status(thm)],[17195, 9902])).
% 8.80/6.37 tff(17197,plain,
% 8.80/6.37 (![B: $i] : ((~less_3(B)) | (v84(constB90, B) <=> v123(constB90, B)))),
% 8.80/6.37 inference(unit_resolution,[status(thm)],[17196, 17192])).
% 8.80/6.37 tff(17198,plain,
% 8.80/6.37 (((~![B: $i] : ((~less_3(B)) | (v84(constB90, B) <=> v123(constB90, B)))) | ((~less_3(bitIndex2)) | (v84(constB90, bitIndex2) <=> v123(constB90, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB90, B) <=> v123(constB90, B)))) | (~less_3(bitIndex2)) | (v84(constB90, bitIndex2) <=> v123(constB90, bitIndex2)))),
% 8.80/6.37 inference(rewrite,[status(thm)],[])).
% 8.80/6.37 tff(17199,plain,
% 8.80/6.37 ((~![B: $i] : ((~less_3(B)) | (v84(constB90, B) <=> v123(constB90, B)))) | ((~less_3(bitIndex2)) | (v84(constB90, bitIndex2) <=> v123(constB90, bitIndex2)))),
% 8.80/6.37 inference(quant_inst,[status(thm)],[])).
% 8.80/6.37 tff(17200,plain,
% 8.80/6.37 ((~![B: $i] : ((~less_3(B)) | (v84(constB90, B) <=> v123(constB90, B)))) | (~less_3(bitIndex2)) | (v84(constB90, bitIndex2) <=> v123(constB90, bitIndex2))),
% 8.80/6.37 inference(modus_ponens,[status(thm)],[17199, 17198])).
% 8.80/6.37 tff(17201,plain,
% 8.80/6.37 (v84(constB90, bitIndex2) <=> v123(constB90, bitIndex2)),
% 8.80/6.37 inference(unit_resolution,[status(thm)],[17200, 832, 17197])).
% 8.80/6.37 tff(17202,plain,
% 8.80/6.37 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB89, constB90)) | ![B: $i] : ((~less_3(B)) | (v123(constB90, B) <=> v121(constB89, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB89, constB90)) | ![B: $i] : ((~less_3(B)) | (v123(constB90, B) <=> v121(constB89, B))))),
% 8.80/6.37 inference(rewrite,[status(thm)],[])).
% 8.80/6.37 tff(17203,plain,
% 8.80/6.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB89, constB90)) | ![B: $i] : ((~less_3(B)) | (v123(constB90, B) <=> v121(constB89, B))))),
% 8.80/6.37 inference(quant_inst,[status(thm)],[])).
% 8.80/6.37 tff(17204,plain,
% 8.80/6.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB89, constB90)) | ![B: $i] : ((~less_3(B)) | (v123(constB90, B) <=> v121(constB89, B)))),
% 8.80/6.37 inference(modus_ponens,[status(thm)],[17203, 17202])).
% 8.80/6.37 tff(17205,plain,
% 8.80/6.37 (![B: $i] : ((~less_3(B)) | (v123(constB90, B) <=> v121(constB89, B)))),
% 8.80/6.37 inference(unit_resolution,[status(thm)],[17204, 5650, 9924])).
% 8.80/6.37 tff(17206,plain,
% 8.80/6.37 (((~![B: $i] : ((~less_3(B)) | (v123(constB90, B) <=> v121(constB89, B)))) | ((~less_3(bitIndex2)) | (v123(constB90, bitIndex2) <=> v121(constB89, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB90, B) <=> v121(constB89, B)))) | (~less_3(bitIndex2)) | (v123(constB90, bitIndex2) <=> v121(constB89, bitIndex2)))),
% 8.80/6.37 inference(rewrite,[status(thm)],[])).
% 8.80/6.37 tff(17207,plain,
% 8.80/6.37 ((~![B: $i] : ((~less_3(B)) | (v123(constB90, B) <=> v121(constB89, B)))) | ((~less_3(bitIndex2)) | (v123(constB90, bitIndex2) <=> v121(constB89, bitIndex2)))),
% 8.80/6.37 inference(quant_inst,[status(thm)],[])).
% 8.80/6.37 tff(17208,plain,
% 8.80/6.37 ((~![B: $i] : ((~less_3(B)) | (v123(constB90, B) <=> v121(constB89, B)))) | (~less_3(bitIndex2)) | (v123(constB90, bitIndex2) <=> v121(constB89, bitIndex2))),
% 8.80/6.37 inference(modus_ponens,[status(thm)],[17207, 17206])).
% 8.80/6.37 tff(17209,plain,
% 8.80/6.37 (v123(constB90, bitIndex2) <=> v121(constB89, bitIndex2)),
% 8.80/6.37 inference(unit_resolution,[status(thm)],[17208, 832, 17205])).
% 8.80/6.37 tff(17210,plain,
% 8.80/6.37 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB89) | ![B: $i] : ((~less_3(B)) | (v121(constB89, B) <=> v124(constB89, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB89) | ![B: $i] : ((~less_3(B)) | (v121(constB89, B) <=> v124(constB89, B))))),
% 8.80/6.37 inference(rewrite,[status(thm)],[])).
% 8.80/6.37 tff(17211,plain,
% 8.80/6.37 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB89) | ![B: $i] : ((~less_3(B)) | (v121(constB89, B) <=> v124(constB89, B))))),
% 8.80/6.37 inference(quant_inst,[status(thm)],[])).
% 8.80/6.37 tff(17212,plain,
% 8.80/6.37 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB89) | ![B: $i] : ((~less_3(B)) | (v121(constB89, B) <=> v124(constB89, B)))),
% 8.80/6.37 inference(modus_ponens,[status(thm)],[17211, 17210])).
% 8.80/6.37 tff(17213,plain,
% 8.80/6.37 (![B: $i] : ((~less_3(B)) | (v121(constB89, B) <=> v124(constB89, B)))),
% 8.80/6.37 inference(unit_resolution,[status(thm)],[17212, 9945, 17174])).
% 8.80/6.37 tff(17214,plain,
% 8.80/6.37 (((~![B: $i] : ((~less_3(B)) | (v121(constB89, B) <=> v124(constB89, B)))) | ((~less_3(bitIndex2)) | (v121(constB89, bitIndex2) <=> v124(constB89, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB89, B) <=> v124(constB89, B)))) | (~less_3(bitIndex2)) | (v121(constB89, bitIndex2) <=> v124(constB89, bitIndex2)))),
% 8.80/6.37 inference(rewrite,[status(thm)],[])).
% 8.80/6.37 tff(17215,plain,
% 8.80/6.37 ((~![B: $i] : ((~less_3(B)) | (v121(constB89, B) <=> v124(constB89, B)))) | ((~less_3(bitIndex2)) | (v121(constB89, bitIndex2) <=> v124(constB89, bitIndex2)))),
% 8.80/6.37 inference(quant_inst,[status(thm)],[])).
% 8.80/6.37 tff(17216,plain,
% 8.80/6.37 ((~![B: $i] : ((~less_3(B)) | (v121(constB89, B) <=> v124(constB89, B)))) | (~less_3(bitIndex2)) | (v121(constB89, bitIndex2) <=> v124(constB89, bitIndex2))),
% 8.80/6.37 inference(modus_ponens,[status(thm)],[17215, 17214])).
% 8.80/6.37 tff(17217,plain,
% 8.80/6.37 (v121(constB89, bitIndex2) <=> v124(constB89, bitIndex2)),
% 8.80/6.37 inference(unit_resolution,[status(thm)],[17216, 832, 17213])).
% 8.80/6.37 tff(17218,plain,
% 8.80/6.37 (((~![VarCurr: $i] : ((~v115(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b011(B))))) | ((~v115(constB89)) | ![B: $i] : ((~less_3(B)) | (v124(constB89, B) <=> b011(B))))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b011(B))))) | (~v115(constB89)) | ![B: $i] : ((~less_3(B)) | (v124(constB89, B) <=> b011(B))))),
% 8.80/6.37 inference(rewrite,[status(thm)],[])).
% 8.80/6.37 tff(17219,plain,
% 8.80/6.37 ((~![VarCurr: $i] : ((~v115(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b011(B))))) | ((~v115(constB89)) | ![B: $i] : ((~less_3(B)) | (v124(constB89, B) <=> b011(B))))),
% 8.80/6.37 inference(quant_inst,[status(thm)],[])).
% 8.80/6.37 tff(17220,plain,
% 8.80/6.37 ((~![VarCurr: $i] : ((~v115(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b011(B))))) | (~v115(constB89)) | ![B: $i] : ((~less_3(B)) | (v124(constB89, B) <=> b011(B)))),
% 8.80/6.37 inference(modus_ponens,[status(thm)],[17219, 17218])).
% 8.80/6.37 tff(17221,plain,
% 8.80/6.37 ((~v115(constB89)) | ![B: $i] : ((~less_3(B)) | (v124(constB89, B) <=> b011(B)))),
% 8.80/6.37 inference(unit_resolution,[status(thm)],[17220, 10329])).
% 8.80/6.37 tff(17222,plain,
% 8.80/6.37 (![B: $i] : ((~less_3(B)) | (v124(constB89, B) <=> b011(B)))),
% 8.80/6.37 inference(unit_resolution,[status(thm)],[17221, 17145])).
% 8.80/6.37 tff(17223,plain,
% 8.80/6.37 (((~![B: $i] : ((~less_3(B)) | (v124(constB89, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v124(constB89, bitIndex2) <=> b011(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB89, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v124(constB89, bitIndex2) <=> b011(bitIndex2)))),
% 8.80/6.37 inference(rewrite,[status(thm)],[])).
% 8.80/6.37 tff(17224,plain,
% 8.80/6.37 ((~![B: $i] : ((~less_3(B)) | (v124(constB89, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v124(constB89, bitIndex2) <=> b011(bitIndex2)))),
% 8.80/6.37 inference(quant_inst,[status(thm)],[])).
% 8.80/6.37 tff(17225,plain,
% 8.80/6.37 ((~![B: $i] : ((~less_3(B)) | (v124(constB89, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v124(constB89, bitIndex2) <=> b011(bitIndex2))),
% 8.80/6.37 inference(modus_ponens,[status(thm)],[17224, 17223])).
% 8.80/6.37 tff(17226,plain,
% 8.80/6.37 (v124(constB89, bitIndex2) <=> b011(bitIndex2)),
% 8.80/6.37 inference(unit_resolution,[status(thm)],[17225, 832, 17222])).
% 8.80/6.37 tff(17227,plain,
% 8.80/6.37 ((~(v124(constB89, bitIndex2) <=> b011(bitIndex2))) | (~v124(constB89, bitIndex2)) | b011(bitIndex2)),
% 8.80/6.37 inference(tautology,[status(thm)],[])).
% 8.80/6.37 tff(17228,plain,
% 8.80/6.37 ((~(v124(constB89, bitIndex2) <=> b011(bitIndex2))) | (~v124(constB89, bitIndex2))),
% 8.80/6.37 inference(unit_resolution,[status(thm)],[17227, 10341])).
% 8.80/6.37 tff(17229,plain,
% 8.80/6.37 (~v124(constB89, bitIndex2)),
% 8.80/6.37 inference(unit_resolution,[status(thm)],[17228, 17226])).
% 8.80/6.37 tff(17230,plain,
% 8.80/6.37 ((~(v121(constB89, bitIndex2) <=> v124(constB89, bitIndex2))) | (~v121(constB89, bitIndex2)) | v124(constB89, bitIndex2)),
% 8.80/6.37 inference(tautology,[status(thm)],[])).
% 8.80/6.37 tff(17231,plain,
% 8.80/6.37 (~v121(constB89, bitIndex2)),
% 8.80/6.37 inference(unit_resolution,[status(thm)],[17230, 17229, 17217])).
% 8.80/6.37 tff(17232,plain,
% 8.80/6.37 ((~(v123(constB90, bitIndex2) <=> v121(constB89, bitIndex2))) | (~v123(constB90, bitIndex2)) | v121(constB89, bitIndex2)),
% 8.80/6.37 inference(tautology,[status(thm)],[])).
% 8.80/6.37 tff(17233,plain,
% 8.80/6.37 (~v123(constB90, bitIndex2)),
% 8.80/6.37 inference(unit_resolution,[status(thm)],[17232, 17231, 17209])).
% 8.80/6.37 tff(17234,plain,
% 8.80/6.37 ((~(v84(constB90, bitIndex2) <=> v123(constB90, bitIndex2))) | (~v84(constB90, bitIndex2)) | v123(constB90, bitIndex2)),
% 8.80/6.37 inference(tautology,[status(thm)],[])).
% 8.80/6.37 tff(17235,plain,
% 8.80/6.37 (~v84(constB90, bitIndex2)),
% 8.80/6.37 inference(unit_resolution,[status(thm)],[17234, 17233, 17201])).
% 8.80/6.37 tff(17236,plain,
% 8.80/6.37 ((~(v84(constB91, bitIndex2) <=> v84(constB90, bitIndex2))) | (~v84(constB91, bitIndex2)) | v84(constB90, bitIndex2)),
% 8.80/6.37 inference(tautology,[status(thm)],[])).
% 8.80/6.37 tff(17237,plain,
% 8.80/6.37 (~v84(constB91, bitIndex2)),
% 8.80/6.37 inference(unit_resolution,[status(thm)],[17236, 17235, 5647])).
% 8.80/6.37 tff(17238,plain,
% 8.80/6.37 (((~![B: $i] : ((~less_3(B)) | (v84(constB91, B) <=> v84(constB90, B)))) | ((~less_3(bitIndex0)) | (v84(constB91, bitIndex0) <=> v84(constB90, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB91, B) <=> v84(constB90, B)))) | (~less_3(bitIndex0)) | (v84(constB91, bitIndex0) <=> v84(constB90, bitIndex0)))),
% 8.80/6.37 inference(rewrite,[status(thm)],[])).
% 8.80/6.37 tff(17239,plain,
% 8.80/6.37 ((~![B: $i] : ((~less_3(B)) | (v84(constB91, B) <=> v84(constB90, B)))) | ((~less_3(bitIndex0)) | (v84(constB91, bitIndex0) <=> v84(constB90, bitIndex0)))),
% 8.80/6.37 inference(quant_inst,[status(thm)],[])).
% 8.80/6.37 tff(17240,plain,
% 8.80/6.37 ((~![B: $i] : ((~less_3(B)) | (v84(constB91, B) <=> v84(constB90, B)))) | (~less_3(bitIndex0)) | (v84(constB91, bitIndex0) <=> v84(constB90, bitIndex0))),
% 8.80/6.37 inference(modus_ponens,[status(thm)],[17239, 17238])).
% 8.80/6.37 tff(17241,plain,
% 8.80/6.37 (v84(constB91, bitIndex0) <=> v84(constB90, bitIndex0)),
% 8.80/6.37 inference(unit_resolution,[status(thm)],[17240, 9772, 5643])).
% 8.80/6.37 tff(17242,plain,
% 8.80/6.37 (((~![B: $i] : ((~less_3(B)) | (v84(constB90, B) <=> v123(constB90, B)))) | ((~less_3(bitIndex0)) | (v84(constB90, bitIndex0) <=> v123(constB90, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB90, B) <=> v123(constB90, B)))) | (~less_3(bitIndex0)) | (v84(constB90, bitIndex0) <=> v123(constB90, bitIndex0)))),
% 8.80/6.37 inference(rewrite,[status(thm)],[])).
% 8.80/6.37 tff(17243,plain,
% 8.80/6.37 ((~![B: $i] : ((~less_3(B)) | (v84(constB90, B) <=> v123(constB90, B)))) | ((~less_3(bitIndex0)) | (v84(constB90, bitIndex0) <=> v123(constB90, bitIndex0)))),
% 8.80/6.37 inference(quant_inst,[status(thm)],[])).
% 8.80/6.37 tff(17244,plain,
% 8.80/6.37 ((~![B: $i] : ((~less_3(B)) | (v84(constB90, B) <=> v123(constB90, B)))) | (~less_3(bitIndex0)) | (v84(constB90, bitIndex0) <=> v123(constB90, bitIndex0))),
% 8.80/6.37 inference(modus_ponens,[status(thm)],[17243, 17242])).
% 8.80/6.37 tff(17245,plain,
% 8.80/6.37 (v84(constB90, bitIndex0) <=> v123(constB90, bitIndex0)),
% 8.80/6.37 inference(unit_resolution,[status(thm)],[17244, 9772, 17197])).
% 8.80/6.37 tff(17246,plain,
% 8.80/6.37 (((~![B: $i] : ((~less_3(B)) | (v123(constB90, B) <=> v121(constB89, B)))) | ((~less_3(bitIndex0)) | (v123(constB90, bitIndex0) <=> v121(constB89, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB90, B) <=> v121(constB89, B)))) | (~less_3(bitIndex0)) | (v123(constB90, bitIndex0) <=> v121(constB89, bitIndex0)))),
% 8.80/6.37 inference(rewrite,[status(thm)],[])).
% 8.80/6.37 tff(17247,plain,
% 8.80/6.37 ((~![B: $i] : ((~less_3(B)) | (v123(constB90, B) <=> v121(constB89, B)))) | ((~less_3(bitIndex0)) | (v123(constB90, bitIndex0) <=> v121(constB89, bitIndex0)))),
% 8.80/6.37 inference(quant_inst,[status(thm)],[])).
% 8.80/6.37 tff(17248,plain,
% 8.80/6.37 ((~![B: $i] : ((~less_3(B)) | (v123(constB90, B) <=> v121(constB89, B)))) | (~less_3(bitIndex0)) | (v123(constB90, bitIndex0) <=> v121(constB89, bitIndex0))),
% 8.80/6.37 inference(modus_ponens,[status(thm)],[17247, 17246])).
% 8.80/6.37 tff(17249,plain,
% 8.80/6.37 (v123(constB90, bitIndex0) <=> v121(constB89, bitIndex0)),
% 8.80/6.37 inference(unit_resolution,[status(thm)],[17248, 9772, 17205])).
% 8.80/6.38 tff(17250,plain,
% 8.80/6.38 (((~![B: $i] : ((~less_3(B)) | (v121(constB89, B) <=> v124(constB89, B)))) | ((~less_3(bitIndex0)) | (v121(constB89, bitIndex0) <=> v124(constB89, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB89, B) <=> v124(constB89, B)))) | (~less_3(bitIndex0)) | (v121(constB89, bitIndex0) <=> v124(constB89, bitIndex0)))),
% 8.80/6.38 inference(rewrite,[status(thm)],[])).
% 8.80/6.38 tff(17251,plain,
% 8.80/6.38 ((~![B: $i] : ((~less_3(B)) | (v121(constB89, B) <=> v124(constB89, B)))) | ((~less_3(bitIndex0)) | (v121(constB89, bitIndex0) <=> v124(constB89, bitIndex0)))),
% 8.80/6.38 inference(quant_inst,[status(thm)],[])).
% 8.80/6.38 tff(17252,plain,
% 8.80/6.38 ((~![B: $i] : ((~less_3(B)) | (v121(constB89, B) <=> v124(constB89, B)))) | (~less_3(bitIndex0)) | (v121(constB89, bitIndex0) <=> v124(constB89, bitIndex0))),
% 8.80/6.38 inference(modus_ponens,[status(thm)],[17251, 17250])).
% 8.80/6.38 tff(17253,plain,
% 8.80/6.38 (v121(constB89, bitIndex0) <=> v124(constB89, bitIndex0)),
% 8.80/6.38 inference(unit_resolution,[status(thm)],[17252, 9772, 17213])).
% 8.80/6.38 tff(17254,plain,
% 8.80/6.38 (((~![B: $i] : ((~less_3(B)) | (v124(constB89, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v124(constB89, bitIndex0) <=> b011(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB89, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v124(constB89, bitIndex0) <=> b011(bitIndex0)))),
% 8.80/6.38 inference(rewrite,[status(thm)],[])).
% 8.80/6.38 tff(17255,plain,
% 8.80/6.38 ((~![B: $i] : ((~less_3(B)) | (v124(constB89, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v124(constB89, bitIndex0) <=> b011(bitIndex0)))),
% 8.80/6.38 inference(quant_inst,[status(thm)],[])).
% 8.80/6.38 tff(17256,plain,
% 8.80/6.38 ((~![B: $i] : ((~less_3(B)) | (v124(constB89, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v124(constB89, bitIndex0) <=> b011(bitIndex0))),
% 8.80/6.38 inference(modus_ponens,[status(thm)],[17255, 17254])).
% 8.80/6.38 tff(17257,plain,
% 8.80/6.38 (v124(constB89, bitIndex0) <=> b011(bitIndex0)),
% 8.80/6.38 inference(unit_resolution,[status(thm)],[17256, 9772, 17222])).
% 8.80/6.38 tff(17258,plain,
% 8.80/6.38 ((~(v124(constB89, bitIndex0) <=> b011(bitIndex0))) | v124(constB89, bitIndex0) | (~b011(bitIndex0))),
% 8.80/6.38 inference(tautology,[status(thm)],[])).
% 8.80/6.38 tff(17259,plain,
% 8.80/6.38 ((~(v124(constB89, bitIndex0) <=> b011(bitIndex0))) | v124(constB89, bitIndex0)),
% 8.80/6.38 inference(unit_resolution,[status(thm)],[17258, 10375])).
% 8.80/6.38 tff(17260,plain,
% 8.80/6.38 (v124(constB89, bitIndex0)),
% 8.80/6.38 inference(unit_resolution,[status(thm)],[17259, 17257])).
% 8.80/6.38 tff(17261,plain,
% 8.80/6.38 ((~(v121(constB89, bitIndex0) <=> v124(constB89, bitIndex0))) | v121(constB89, bitIndex0) | (~v124(constB89, bitIndex0))),
% 8.80/6.38 inference(tautology,[status(thm)],[])).
% 8.80/6.38 tff(17262,plain,
% 8.80/6.38 (v121(constB89, bitIndex0)),
% 8.80/6.38 inference(unit_resolution,[status(thm)],[17261, 17260, 17253])).
% 8.80/6.38 tff(17263,plain,
% 8.80/6.38 ((~(v123(constB90, bitIndex0) <=> v121(constB89, bitIndex0))) | v123(constB90, bitIndex0) | (~v121(constB89, bitIndex0))),
% 8.80/6.38 inference(tautology,[status(thm)],[])).
% 8.80/6.38 tff(17264,plain,
% 8.80/6.38 (v123(constB90, bitIndex0)),
% 8.80/6.38 inference(unit_resolution,[status(thm)],[17263, 17262, 17249])).
% 8.80/6.38 tff(17265,plain,
% 8.80/6.38 ((~(v84(constB90, bitIndex0) <=> v123(constB90, bitIndex0))) | v84(constB90, bitIndex0) | (~v123(constB90, bitIndex0))),
% 8.80/6.38 inference(tautology,[status(thm)],[])).
% 8.80/6.38 tff(17266,plain,
% 8.80/6.38 (v84(constB90, bitIndex0)),
% 8.80/6.38 inference(unit_resolution,[status(thm)],[17265, 17264, 17245])).
% 8.80/6.38 tff(17267,plain,
% 8.80/6.38 ((~(v84(constB91, bitIndex0) <=> v84(constB90, bitIndex0))) | v84(constB91, bitIndex0) | (~v84(constB90, bitIndex0))),
% 8.80/6.38 inference(tautology,[status(thm)],[])).
% 8.80/6.38 tff(17268,plain,
% 8.80/6.38 (v84(constB91, bitIndex0)),
% 8.80/6.38 inference(unit_resolution,[status(thm)],[17267, 17266, 17241])).
% 8.80/6.38 tff(17269,plain,
% 8.80/6.38 (((~![B: $i] : ((~less_3(B)) | (v84(constB91, B) <=> v84(constB90, B)))) | ((~less_3(bitIndex1)) | (v84(constB91, bitIndex1) <=> v84(constB90, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB91, B) <=> v84(constB90, B)))) | (~less_3(bitIndex1)) | (v84(constB91, bitIndex1) <=> v84(constB90, bitIndex1)))),
% 8.80/6.38 inference(rewrite,[status(thm)],[])).
% 8.80/6.38 tff(17270,plain,
% 8.80/6.38 ((~![B: $i] : ((~less_3(B)) | (v84(constB91, B) <=> v84(constB90, B)))) | ((~less_3(bitIndex1)) | (v84(constB91, bitIndex1) <=> v84(constB90, bitIndex1)))),
% 8.80/6.38 inference(quant_inst,[status(thm)],[])).
% 8.80/6.38 tff(17271,plain,
% 8.80/6.38 ((~![B: $i] : ((~less_3(B)) | (v84(constB91, B) <=> v84(constB90, B)))) | (~less_3(bitIndex1)) | (v84(constB91, bitIndex1) <=> v84(constB90, bitIndex1))),
% 8.80/6.38 inference(modus_ponens,[status(thm)],[17270, 17269])).
% 8.80/6.38 tff(17272,plain,
% 8.80/6.38 (v84(constB91, bitIndex1) <=> v84(constB90, bitIndex1)),
% 8.80/6.38 inference(unit_resolution,[status(thm)],[17271, 9785, 5643])).
% 8.80/6.38 tff(17273,plain,
% 8.80/6.38 (((~![B: $i] : ((~less_3(B)) | (v84(constB90, B) <=> v123(constB90, B)))) | ((~less_3(bitIndex1)) | (v84(constB90, bitIndex1) <=> v123(constB90, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB90, B) <=> v123(constB90, B)))) | (~less_3(bitIndex1)) | (v84(constB90, bitIndex1) <=> v123(constB90, bitIndex1)))),
% 8.80/6.38 inference(rewrite,[status(thm)],[])).
% 8.80/6.38 tff(17274,plain,
% 8.80/6.38 ((~![B: $i] : ((~less_3(B)) | (v84(constB90, B) <=> v123(constB90, B)))) | ((~less_3(bitIndex1)) | (v84(constB90, bitIndex1) <=> v123(constB90, bitIndex1)))),
% 8.80/6.38 inference(quant_inst,[status(thm)],[])).
% 8.80/6.38 tff(17275,plain,
% 8.80/6.38 ((~![B: $i] : ((~less_3(B)) | (v84(constB90, B) <=> v123(constB90, B)))) | (~less_3(bitIndex1)) | (v84(constB90, bitIndex1) <=> v123(constB90, bitIndex1))),
% 8.80/6.38 inference(modus_ponens,[status(thm)],[17274, 17273])).
% 8.80/6.38 tff(17276,plain,
% 8.80/6.38 (v84(constB90, bitIndex1) <=> v123(constB90, bitIndex1)),
% 8.80/6.38 inference(unit_resolution,[status(thm)],[17275, 9785, 17197])).
% 8.80/6.38 tff(17277,plain,
% 8.80/6.38 (((~![B: $i] : ((~less_3(B)) | (v123(constB90, B) <=> v121(constB89, B)))) | ((~less_3(bitIndex1)) | (v123(constB90, bitIndex1) <=> v121(constB89, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB90, B) <=> v121(constB89, B)))) | (~less_3(bitIndex1)) | (v123(constB90, bitIndex1) <=> v121(constB89, bitIndex1)))),
% 8.80/6.38 inference(rewrite,[status(thm)],[])).
% 8.80/6.38 tff(17278,plain,
% 8.80/6.38 ((~![B: $i] : ((~less_3(B)) | (v123(constB90, B) <=> v121(constB89, B)))) | ((~less_3(bitIndex1)) | (v123(constB90, bitIndex1) <=> v121(constB89, bitIndex1)))),
% 8.80/6.38 inference(quant_inst,[status(thm)],[])).
% 8.80/6.38 tff(17279,plain,
% 8.80/6.38 ((~![B: $i] : ((~less_3(B)) | (v123(constB90, B) <=> v121(constB89, B)))) | (~less_3(bitIndex1)) | (v123(constB90, bitIndex1) <=> v121(constB89, bitIndex1))),
% 8.80/6.38 inference(modus_ponens,[status(thm)],[17278, 17277])).
% 8.80/6.38 tff(17280,plain,
% 8.80/6.38 (v123(constB90, bitIndex1) <=> v121(constB89, bitIndex1)),
% 8.80/6.38 inference(unit_resolution,[status(thm)],[17279, 9785, 17205])).
% 8.80/6.38 tff(17281,plain,
% 8.80/6.38 (((~![B: $i] : ((~less_3(B)) | (v121(constB89, B) <=> v124(constB89, B)))) | ((~less_3(bitIndex1)) | (v121(constB89, bitIndex1) <=> v124(constB89, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB89, B) <=> v124(constB89, B)))) | (~less_3(bitIndex1)) | (v121(constB89, bitIndex1) <=> v124(constB89, bitIndex1)))),
% 8.80/6.38 inference(rewrite,[status(thm)],[])).
% 8.80/6.38 tff(17282,plain,
% 8.80/6.38 ((~![B: $i] : ((~less_3(B)) | (v121(constB89, B) <=> v124(constB89, B)))) | ((~less_3(bitIndex1)) | (v121(constB89, bitIndex1) <=> v124(constB89, bitIndex1)))),
% 8.80/6.38 inference(quant_inst,[status(thm)],[])).
% 8.80/6.38 tff(17283,plain,
% 8.80/6.38 ((~![B: $i] : ((~less_3(B)) | (v121(constB89, B) <=> v124(constB89, B)))) | (~less_3(bitIndex1)) | (v121(constB89, bitIndex1) <=> v124(constB89, bitIndex1))),
% 8.80/6.38 inference(modus_ponens,[status(thm)],[17282, 17281])).
% 8.80/6.38 tff(17284,plain,
% 8.80/6.38 (v121(constB89, bitIndex1) <=> v124(constB89, bitIndex1)),
% 8.80/6.38 inference(unit_resolution,[status(thm)],[17283, 9785, 17213])).
% 8.80/6.38 tff(17285,plain,
% 8.80/6.38 (((~![B: $i] : ((~less_3(B)) | (v124(constB89, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v124(constB89, bitIndex1) <=> b011(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB89, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v124(constB89, bitIndex1) <=> b011(bitIndex1)))),
% 8.80/6.38 inference(rewrite,[status(thm)],[])).
% 8.80/6.38 tff(17286,plain,
% 8.80/6.38 ((~![B: $i] : ((~less_3(B)) | (v124(constB89, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v124(constB89, bitIndex1) <=> b011(bitIndex1)))),
% 8.80/6.38 inference(quant_inst,[status(thm)],[])).
% 8.80/6.38 tff(17287,plain,
% 8.80/6.38 ((~![B: $i] : ((~less_3(B)) | (v124(constB89, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v124(constB89, bitIndex1) <=> b011(bitIndex1))),
% 8.80/6.38 inference(modus_ponens,[status(thm)],[17286, 17285])).
% 8.80/6.38 tff(17288,plain,
% 8.80/6.38 (v124(constB89, bitIndex1) <=> b011(bitIndex1)),
% 8.80/6.38 inference(unit_resolution,[status(thm)],[17287, 9785, 17222])).
% 8.80/6.38 tff(17289,plain,
% 8.80/6.38 ((~(v124(constB89, bitIndex1) <=> b011(bitIndex1))) | v124(constB89, bitIndex1) | (~b011(bitIndex1))),
% 8.80/6.38 inference(tautology,[status(thm)],[])).
% 8.80/6.38 tff(17290,plain,
% 8.80/6.38 ((~(v124(constB89, bitIndex1) <=> b011(bitIndex1))) | v124(constB89, bitIndex1)),
% 8.80/6.38 inference(unit_resolution,[status(thm)],[17289, 10409])).
% 8.80/6.38 tff(17291,plain,
% 8.80/6.38 (v124(constB89, bitIndex1)),
% 8.80/6.38 inference(unit_resolution,[status(thm)],[17290, 17288])).
% 8.80/6.38 tff(17292,plain,
% 8.80/6.38 ((~(v121(constB89, bitIndex1) <=> v124(constB89, bitIndex1))) | v121(constB89, bitIndex1) | (~v124(constB89, bitIndex1))),
% 8.80/6.38 inference(tautology,[status(thm)],[])).
% 8.80/6.38 tff(17293,plain,
% 8.80/6.38 (v121(constB89, bitIndex1)),
% 8.80/6.38 inference(unit_resolution,[status(thm)],[17292, 17291, 17284])).
% 8.80/6.38 tff(17294,plain,
% 8.80/6.38 ((~(v123(constB90, bitIndex1) <=> v121(constB89, bitIndex1))) | v123(constB90, bitIndex1) | (~v121(constB89, bitIndex1))),
% 8.80/6.38 inference(tautology,[status(thm)],[])).
% 8.80/6.38 tff(17295,plain,
% 8.80/6.38 (v123(constB90, bitIndex1)),
% 8.80/6.38 inference(unit_resolution,[status(thm)],[17294, 17293, 17280])).
% 8.80/6.38 tff(17296,plain,
% 8.80/6.38 ((~(v84(constB90, bitIndex1) <=> v123(constB90, bitIndex1))) | v84(constB90, bitIndex1) | (~v123(constB90, bitIndex1))),
% 8.80/6.38 inference(tautology,[status(thm)],[])).
% 8.80/6.38 tff(17297,plain,
% 8.80/6.38 (v84(constB90, bitIndex1)),
% 8.80/6.38 inference(unit_resolution,[status(thm)],[17296, 17295, 17276])).
% 8.80/6.38 tff(17298,plain,
% 8.80/6.38 ((~(v84(constB91, bitIndex1) <=> v84(constB90, bitIndex1))) | v84(constB91, bitIndex1) | (~v84(constB90, bitIndex1))),
% 8.80/6.38 inference(tautology,[status(thm)],[])).
% 8.80/6.38 tff(17299,plain,
% 8.80/6.38 (v84(constB91, bitIndex1)),
% 8.80/6.38 inference(unit_resolution,[status(thm)],[17298, 17297, 17272])).
% 8.80/6.38 tff(17300,plain,
% 8.80/6.38 ((~(v84(constB91, bitIndex2) | (~v84(constB91, bitIndex1)) | (~v84(constB91, bitIndex0)))) | v84(constB91, bitIndex2) | (~v84(constB91, bitIndex1)) | (~v84(constB91, bitIndex0))),
% 8.80/6.38 inference(tautology,[status(thm)],[])).
% 8.80/6.38 tff(17301,plain,
% 8.80/6.38 (~(v84(constB91, bitIndex2) | (~v84(constB91, bitIndex1)) | (~v84(constB91, bitIndex0)))),
% 8.80/6.38 inference(unit_resolution,[status(thm)],[17300, 17299, 17268, 17237])).
% 8.80/6.38 tff(17302,plain,
% 8.80/6.38 ((~(v116(constB91) <=> (~(v84(constB91, bitIndex2) | (~v84(constB91, bitIndex1)) | (~v84(constB91, bitIndex0)))))) | v116(constB91) | (v84(constB91, bitIndex2) | (~v84(constB91, bitIndex1)) | (~v84(constB91, bitIndex0)))),
% 8.80/6.38 inference(tautology,[status(thm)],[])).
% 8.80/6.38 tff(17303,plain,
% 8.80/6.38 (v116(constB91)),
% 8.80/6.38 inference(unit_resolution,[status(thm)],[17302, 17301, 5615])).
% 8.80/6.38 tff(17304,plain,
% 8.80/6.38 ((v111(constB91) | v116(constB91)) | (~v116(constB91))),
% 8.80/6.38 inference(tautology,[status(thm)],[])).
% 8.80/6.38 tff(17305,plain,
% 8.80/6.38 (v111(constB91) | v116(constB91)),
% 8.80/6.38 inference(unit_resolution,[status(thm)],[17304, 17303])).
% 8.80/6.38 tff(17306,plain,
% 8.80/6.38 ((~(v110(constB91) <=> (v111(constB91) | v116(constB91)))) | v110(constB91) | (~(v111(constB91) | v116(constB91)))),
% 8.80/6.38 inference(tautology,[status(thm)],[])).
% 8.80/6.38 tff(17307,plain,
% 8.80/6.38 (v110(constB91)),
% 8.80/6.38 inference(unit_resolution,[status(thm)],[17306, 17305, 5613])).
% 8.80/6.38 tff(17308,plain,
% 8.80/6.38 ((v110(constB91) | v117(constB91)) | (~v110(constB91))),
% 8.80/6.38 inference(tautology,[status(thm)],[])).
% 8.80/6.38 tff(17309,plain,
% 8.80/6.38 (v110(constB91) | v117(constB91)),
% 8.80/6.38 inference(unit_resolution,[status(thm)],[17308, 17307])).
% 8.80/6.38 tff(17310,plain,
% 8.80/6.38 ((~(v109(constB91) <=> (v110(constB91) | v117(constB91)))) | v109(constB91) | (~(v110(constB91) | v117(constB91)))),
% 8.80/6.38 inference(tautology,[status(thm)],[])).
% 8.80/6.38 tff(17311,plain,
% 8.80/6.38 (v109(constB91)),
% 8.80/6.38 inference(unit_resolution,[status(thm)],[17310, 17309, 5611])).
% 8.80/6.38 tff(17312,plain,
% 8.80/6.38 ((v109(constB91) | v118(constB91)) | (~v109(constB91))),
% 8.80/6.38 inference(tautology,[status(thm)],[])).
% 8.80/6.38 tff(17313,plain,
% 8.80/6.38 (v109(constB91) | v118(constB91)),
% 8.80/6.38 inference(unit_resolution,[status(thm)],[17312, 17311])).
% 8.80/6.38 tff(17314,plain,
% 8.80/6.38 ((~(v108(constB91) <=> (v109(constB91) | v118(constB91)))) | v108(constB91) | (~(v109(constB91) | v118(constB91)))),
% 8.80/6.38 inference(tautology,[status(thm)],[])).
% 8.80/6.38 tff(17315,plain,
% 8.80/6.38 (v108(constB91)),
% 8.80/6.38 inference(unit_resolution,[status(thm)],[17314, 17313, 5609])).
% 8.80/6.38 tff(17316,plain,
% 8.80/6.38 ((v108(constB91) | v119(constB91)) | (~v108(constB91))),
% 8.80/6.38 inference(tautology,[status(thm)],[])).
% 8.80/6.38 tff(17317,plain,
% 8.80/6.38 (v108(constB91) | v119(constB91)),
% 8.80/6.38 inference(unit_resolution,[status(thm)],[17316, 17315])).
% 8.80/6.38 tff(17318,plain,
% 8.80/6.38 ((~(v107(constB91) <=> (v108(constB91) | v119(constB91)))) | v107(constB91) | (~(v108(constB91) | v119(constB91)))),
% 8.80/6.38 inference(tautology,[status(thm)],[])).
% 8.80/6.38 tff(17319,plain,
% 8.80/6.38 (v107(constB91)),
% 8.80/6.38 inference(unit_resolution,[status(thm)],[17318, 17317, 5607])).
% 8.80/6.38 tff(17320,plain,
% 8.80/6.38 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB91)) <=> v105(constB91))),
% 8.80/6.38 inference(quant_inst,[status(thm)],[])).
% 8.80/6.38 tff(17321,plain,
% 8.80/6.38 ((~v120(constB91)) <=> v105(constB91)),
% 8.80/6.38 inference(unit_resolution,[status(thm)],[17320, 9842])).
% 8.80/6.38 tff(17322,plain,
% 8.80/6.38 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB91) <=> v26(constB91))),
% 8.80/6.38 inference(quant_inst,[status(thm)],[])).
% 8.80/6.38 tff(17323,plain,
% 8.80/6.38 (v105(constB91) <=> v26(constB91)),
% 8.80/6.38 inference(unit_resolution,[status(thm)],[17322, 9854])).
% 8.80/6.38 tff(17324,plain,
% 8.80/6.38 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB91))),
% 8.80/6.38 inference(quant_inst,[status(thm)],[])).
% 8.80/6.38 tff(17325,plain,
% 8.80/6.38 (~v26(constB91)),
% 8.80/6.38 inference(unit_resolution,[status(thm)],[17324, 9866])).
% 8.80/6.38 tff(17326,plain,
% 8.80/6.38 ((~(v105(constB91) <=> v26(constB91))) | (~v105(constB91)) | v26(constB91)),
% 8.80/6.38 inference(tautology,[status(thm)],[])).
% 8.80/6.38 tff(17327,plain,
% 8.80/6.38 ((~(v105(constB91) <=> v26(constB91))) | (~v105(constB91))),
% 8.80/6.38 inference(unit_resolution,[status(thm)],[17326, 17325])).
% 8.80/6.38 tff(17328,plain,
% 8.80/6.38 (~v105(constB91)),
% 8.80/6.38 inference(unit_resolution,[status(thm)],[17327, 17323])).
% 8.80/6.38 tff(17329,plain,
% 8.80/6.38 ((~((~v120(constB91)) <=> v105(constB91))) | v120(constB91) | v105(constB91)),
% 8.80/6.38 inference(tautology,[status(thm)],[])).
% 8.80/6.38 tff(17330,plain,
% 8.80/6.38 ((~((~v120(constB91)) <=> v105(constB91))) | v120(constB91)),
% 8.80/6.38 inference(unit_resolution,[status(thm)],[17329, 17328])).
% 8.80/6.38 tff(17331,plain,
% 8.80/6.38 (v120(constB91)),
% 8.80/6.38 inference(unit_resolution,[status(thm)],[17330, 17321])).
% 8.80/6.38 tff(17332,plain,
% 8.80/6.38 ((~((~v107(constB91)) | (~v120(constB91)))) | (~v107(constB91)) | (~v120(constB91))),
% 8.80/6.38 inference(tautology,[status(thm)],[])).
% 8.80/6.38 tff(17333,plain,
% 8.80/6.38 ((~((~v107(constB91)) | (~v120(constB91)))) | (~v107(constB91))),
% 8.80/6.38 inference(unit_resolution,[status(thm)],[17332, 17331])).
% 8.80/6.38 tff(17334,plain,
% 8.80/6.38 (~((~v107(constB91)) | (~v120(constB91)))),
% 8.80/6.38 inference(unit_resolution,[status(thm)],[17333, 17319])).
% 8.80/6.38 tff(17335,plain,
% 8.80/6.38 ((~(v106(constB91) <=> (~((~v107(constB91)) | (~v120(constB91)))))) | v106(constB91) | ((~v107(constB91)) | (~v120(constB91)))),
% 8.80/6.38 inference(tautology,[status(thm)],[])).
% 8.80/6.38 tff(17336,plain,
% 8.80/6.38 (v106(constB91)),
% 8.80/6.38 inference(unit_resolution,[status(thm)],[17335, 17334, 5605])).
% 8.80/6.38 tff(17337,plain,
% 8.80/6.38 ((v105(constB91) | v106(constB91)) | (~v106(constB91))),
% 8.80/6.38 inference(tautology,[status(thm)],[])).
% 8.80/6.38 tff(17338,plain,
% 8.80/6.38 (v105(constB91) | v106(constB91)),
% 8.80/6.38 inference(unit_resolution,[status(thm)],[17337, 17336])).
% 8.80/6.38 tff(17339,plain,
% 8.80/6.38 ((~(v102(constB91) <=> (v105(constB91) | v106(constB91)))) | v102(constB91) | (~(v105(constB91) | v106(constB91)))),
% 8.80/6.38 inference(tautology,[status(thm)],[])).
% 8.80/6.38 tff(17340,plain,
% 8.80/6.38 (v102(constB91)),
% 8.80/6.38 inference(unit_resolution,[status(thm)],[17339, 17338, 5603])).
% 8.80/6.38 tff(17341,plain,
% 8.80/6.38 ((~(v104(constB92) <=> v102(constB91))) | v104(constB92) | (~v102(constB91))),
% 8.80/6.38 inference(tautology,[status(thm)],[])).
% 8.80/6.38 tff(17342,plain,
% 8.80/6.38 (v104(constB92)),
% 8.80/6.38 inference(unit_resolution,[status(thm)],[17341, 17340, 5601])).
% 8.80/6.38 tff(17343,plain,
% 8.80/6.38 ((~((~v104(constB92)) | (~v95(constB92)))) | (~v104(constB92)) | (~v95(constB92))),
% 8.80/6.38 inference(tautology,[status(thm)],[])).
% 8.80/6.38 tff(17344,plain,
% 8.80/6.38 (~((~v104(constB92)) | (~v95(constB92)))),
% 8.80/6.38 inference(unit_resolution,[status(thm)],[17343, 17342, 5597])).
% 8.80/6.38 tff(17345,plain,
% 8.80/6.38 ((~(v94(constB92) <=> (~((~v104(constB92)) | (~v95(constB92)))))) | v94(constB92) | ((~v104(constB92)) | (~v95(constB92)))),
% 8.80/6.38 inference(tautology,[status(thm)],[])).
% 8.80/6.38 tff(17346,plain,
% 8.80/6.38 (v94(constB92)),
% 8.80/6.38 inference(unit_resolution,[status(thm)],[17345, 17344, 5566])).
% 8.80/6.38 tff(17347,plain,
% 8.80/6.38 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB92)) | ![B: $i] : ((~less_3(B)) | (v84(constB92, B) <=> v123(constB92, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB92)) | ![B: $i] : ((~less_3(B)) | (v84(constB92, B) <=> v123(constB92, B))))),
% 8.80/6.38 inference(rewrite,[status(thm)],[])).
% 8.80/6.38 tff(17348,plain,
% 8.80/6.38 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB92)) | ![B: $i] : ((~less_3(B)) | (v84(constB92, B) <=> v123(constB92, B))))),
% 8.80/6.38 inference(quant_inst,[status(thm)],[])).
% 8.80/6.38 tff(17349,plain,
% 8.80/6.38 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB92)) | ![B: $i] : ((~less_3(B)) | (v84(constB92, B) <=> v123(constB92, B)))),
% 8.80/6.38 inference(modus_ponens,[status(thm)],[17348, 17347])).
% 8.80/6.38 tff(17350,plain,
% 8.80/6.38 ((~v94(constB92)) | ![B: $i] : ((~less_3(B)) | (v84(constB92, B) <=> v123(constB92, B)))),
% 8.80/6.38 inference(unit_resolution,[status(thm)],[17349, 9902])).
% 8.80/6.38 tff(17351,plain,
% 8.80/6.38 (![B: $i] : ((~less_3(B)) | (v84(constB92, B) <=> v123(constB92, B)))),
% 8.80/6.38 inference(unit_resolution,[status(thm)],[17350, 17346])).
% 8.80/6.38 tff(17352,plain,
% 8.80/6.38 (((~![B: $i] : ((~less_3(B)) | (v84(constB92, B) <=> v123(constB92, B)))) | ((~less_3(bitIndex2)) | (v84(constB92, bitIndex2) <=> v123(constB92, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB92, B) <=> v123(constB92, B)))) | (~less_3(bitIndex2)) | (v84(constB92, bitIndex2) <=> v123(constB92, bitIndex2)))),
% 8.80/6.38 inference(rewrite,[status(thm)],[])).
% 8.80/6.38 tff(17353,plain,
% 8.80/6.38 ((~![B: $i] : ((~less_3(B)) | (v84(constB92, B) <=> v123(constB92, B)))) | ((~less_3(bitIndex2)) | (v84(constB92, bitIndex2) <=> v123(constB92, bitIndex2)))),
% 8.80/6.38 inference(quant_inst,[status(thm)],[])).
% 8.80/6.38 tff(17354,plain,
% 8.80/6.38 ((~![B: $i] : ((~less_3(B)) | (v84(constB92, B) <=> v123(constB92, B)))) | (~less_3(bitIndex2)) | (v84(constB92, bitIndex2) <=> v123(constB92, bitIndex2))),
% 8.80/6.38 inference(modus_ponens,[status(thm)],[17353, 17352])).
% 8.80/6.38 tff(17355,plain,
% 8.80/6.38 (v84(constB92, bitIndex2) <=> v123(constB92, bitIndex2)),
% 8.80/6.38 inference(unit_resolution,[status(thm)],[17354, 832, 17351])).
% 8.80/6.38 tff(17356,plain,
% 8.80/6.38 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB91, constB92)) | ![B: $i] : ((~less_3(B)) | (v123(constB92, B) <=> v121(constB91, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB91, constB92)) | ![B: $i] : ((~less_3(B)) | (v123(constB92, B) <=> v121(constB91, B))))),
% 8.80/6.38 inference(rewrite,[status(thm)],[])).
% 8.80/6.38 tff(17357,plain,
% 8.80/6.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB91, constB92)) | ![B: $i] : ((~less_3(B)) | (v123(constB92, B) <=> v121(constB91, B))))),
% 8.80/6.38 inference(quant_inst,[status(thm)],[])).
% 8.80/6.38 tff(17358,plain,
% 8.80/6.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB91, constB92)) | ![B: $i] : ((~less_3(B)) | (v123(constB92, B) <=> v121(constB91, B)))),
% 8.80/6.38 inference(modus_ponens,[status(thm)],[17357, 17356])).
% 8.80/6.38 tff(17359,plain,
% 8.80/6.38 (![B: $i] : ((~less_3(B)) | (v123(constB92, B) <=> v121(constB91, B)))),
% 8.80/6.38 inference(unit_resolution,[status(thm)],[17358, 5562, 9924])).
% 8.80/6.38 tff(17360,plain,
% 8.80/6.38 (((~![B: $i] : ((~less_3(B)) | (v123(constB92, B) <=> v121(constB91, B)))) | ((~less_3(bitIndex2)) | (v123(constB92, bitIndex2) <=> v121(constB91, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB92, B) <=> v121(constB91, B)))) | (~less_3(bitIndex2)) | (v123(constB92, bitIndex2) <=> v121(constB91, bitIndex2)))),
% 8.80/6.38 inference(rewrite,[status(thm)],[])).
% 8.80/6.38 tff(17361,plain,
% 8.80/6.38 ((~![B: $i] : ((~less_3(B)) | (v123(constB92, B) <=> v121(constB91, B)))) | ((~less_3(bitIndex2)) | (v123(constB92, bitIndex2) <=> v121(constB91, bitIndex2)))),
% 8.80/6.38 inference(quant_inst,[status(thm)],[])).
% 8.80/6.38 tff(17362,plain,
% 8.80/6.38 ((~![B: $i] : ((~less_3(B)) | (v123(constB92, B) <=> v121(constB91, B)))) | (~less_3(bitIndex2)) | (v123(constB92, bitIndex2) <=> v121(constB91, bitIndex2))),
% 8.80/6.38 inference(modus_ponens,[status(thm)],[17361, 17360])).
% 8.80/6.38 tff(17363,plain,
% 8.80/6.38 (v123(constB92, bitIndex2) <=> v121(constB91, bitIndex2)),
% 8.80/6.38 inference(unit_resolution,[status(thm)],[17362, 832, 17359])).
% 8.80/6.38 tff(17364,plain,
% 8.80/6.38 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB91) | ![B: $i] : ((~less_3(B)) | (v121(constB91, B) <=> v124(constB91, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB91) | ![B: $i] : ((~less_3(B)) | (v121(constB91, B) <=> v124(constB91, B))))),
% 8.80/6.38 inference(rewrite,[status(thm)],[])).
% 8.80/6.38 tff(17365,plain,
% 8.80/6.38 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB91) | ![B: $i] : ((~less_3(B)) | (v121(constB91, B) <=> v124(constB91, B))))),
% 8.80/6.38 inference(quant_inst,[status(thm)],[])).
% 8.80/6.38 tff(17366,plain,
% 8.80/6.38 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB91) | ![B: $i] : ((~less_3(B)) | (v121(constB91, B) <=> v124(constB91, B)))),
% 8.80/6.38 inference(modus_ponens,[status(thm)],[17365, 17364])).
% 8.80/6.38 tff(17367,plain,
% 8.80/6.38 (![B: $i] : ((~less_3(B)) | (v121(constB91, B) <=> v124(constB91, B)))),
% 8.80/6.38 inference(unit_resolution,[status(thm)],[17366, 9945, 17328])).
% 8.80/6.38 tff(17368,plain,
% 8.80/6.38 (((~![B: $i] : ((~less_3(B)) | (v121(constB91, B) <=> v124(constB91, B)))) | ((~less_3(bitIndex2)) | (v121(constB91, bitIndex2) <=> v124(constB91, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB91, B) <=> v124(constB91, B)))) | (~less_3(bitIndex2)) | (v121(constB91, bitIndex2) <=> v124(constB91, bitIndex2)))),
% 8.80/6.38 inference(rewrite,[status(thm)],[])).
% 8.80/6.38 tff(17369,plain,
% 8.80/6.38 ((~![B: $i] : ((~less_3(B)) | (v121(constB91, B) <=> v124(constB91, B)))) | ((~less_3(bitIndex2)) | (v121(constB91, bitIndex2) <=> v124(constB91, bitIndex2)))),
% 8.80/6.38 inference(quant_inst,[status(thm)],[])).
% 8.80/6.38 tff(17370,plain,
% 8.80/6.38 ((~![B: $i] : ((~less_3(B)) | (v121(constB91, B) <=> v124(constB91, B)))) | (~less_3(bitIndex2)) | (v121(constB91, bitIndex2) <=> v124(constB91, bitIndex2))),
% 8.80/6.38 inference(modus_ponens,[status(thm)],[17369, 17368])).
% 8.80/6.38 tff(17371,plain,
% 8.80/6.38 (v121(constB91, bitIndex2) <=> v124(constB91, bitIndex2)),
% 8.80/6.38 inference(unit_resolution,[status(thm)],[17370, 832, 17367])).
% 8.80/6.38 tff(17372,plain,
% 8.80/6.38 (((~![VarCurr: $i] : ((~v116(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b100(B))))) | ((~v116(constB91)) | ![B: $i] : ((~less_3(B)) | (v124(constB91, B) <=> b100(B))))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b100(B))))) | (~v116(constB91)) | ![B: $i] : ((~less_3(B)) | (v124(constB91, B) <=> b100(B))))),
% 8.80/6.38 inference(rewrite,[status(thm)],[])).
% 8.80/6.38 tff(17373,plain,
% 8.80/6.38 ((~![VarCurr: $i] : ((~v116(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b100(B))))) | ((~v116(constB91)) | ![B: $i] : ((~less_3(B)) | (v124(constB91, B) <=> b100(B))))),
% 8.80/6.38 inference(quant_inst,[status(thm)],[])).
% 8.80/6.38 tff(17374,plain,
% 8.80/6.38 ((~![VarCurr: $i] : ((~v116(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b100(B))))) | (~v116(constB91)) | ![B: $i] : ((~less_3(B)) | (v124(constB91, B) <=> b100(B)))),
% 8.80/6.38 inference(modus_ponens,[status(thm)],[17373, 17372])).
% 8.80/6.38 tff(17375,plain,
% 8.80/6.38 ((~v116(constB91)) | ![B: $i] : ((~less_3(B)) | (v124(constB91, B) <=> b100(B)))),
% 8.80/6.38 inference(unit_resolution,[status(thm)],[17374, 10505])).
% 8.80/6.38 tff(17376,plain,
% 8.80/6.38 (![B: $i] : ((~less_3(B)) | (v124(constB91, B) <=> b100(B)))),
% 8.80/6.38 inference(unit_resolution,[status(thm)],[17375, 17303])).
% 8.80/6.38 tff(17377,plain,
% 8.80/6.38 (((~![B: $i] : ((~less_3(B)) | (v124(constB91, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v124(constB91, bitIndex2) <=> b100(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB91, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v124(constB91, bitIndex2) <=> b100(bitIndex2)))),
% 8.80/6.38 inference(rewrite,[status(thm)],[])).
% 8.80/6.38 tff(17378,plain,
% 8.80/6.38 ((~![B: $i] : ((~less_3(B)) | (v124(constB91, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v124(constB91, bitIndex2) <=> b100(bitIndex2)))),
% 8.80/6.38 inference(quant_inst,[status(thm)],[])).
% 8.80/6.38 tff(17379,plain,
% 8.80/6.38 ((~![B: $i] : ((~less_3(B)) | (v124(constB91, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v124(constB91, bitIndex2) <=> b100(bitIndex2))),
% 8.80/6.38 inference(modus_ponens,[status(thm)],[17378, 17377])).
% 8.80/6.38 tff(17380,plain,
% 8.80/6.38 (v124(constB91, bitIndex2) <=> b100(bitIndex2)),
% 8.80/6.38 inference(unit_resolution,[status(thm)],[17379, 832, 17376])).
% 8.80/6.38 tff(17381,plain,
% 8.80/6.38 ((~(v124(constB91, bitIndex2) <=> b100(bitIndex2))) | v124(constB91, bitIndex2) | (~b100(bitIndex2))),
% 8.80/6.38 inference(tautology,[status(thm)],[])).
% 8.80/6.38 tff(17382,plain,
% 8.80/6.38 ((~(v124(constB91, bitIndex2) <=> b100(bitIndex2))) | v124(constB91, bitIndex2)),
% 8.80/6.38 inference(unit_resolution,[status(thm)],[17381, 10517])).
% 8.80/6.38 tff(17383,plain,
% 8.80/6.38 (v124(constB91, bitIndex2)),
% 8.80/6.38 inference(unit_resolution,[status(thm)],[17382, 17380])).
% 8.80/6.38 tff(17384,plain,
% 8.80/6.38 ((~(v121(constB91, bitIndex2) <=> v124(constB91, bitIndex2))) | v121(constB91, bitIndex2) | (~v124(constB91, bitIndex2))),
% 8.80/6.38 inference(tautology,[status(thm)],[])).
% 8.80/6.38 tff(17385,plain,
% 8.80/6.38 (v121(constB91, bitIndex2)),
% 8.80/6.38 inference(unit_resolution,[status(thm)],[17384, 17383, 17371])).
% 8.80/6.38 tff(17386,plain,
% 8.80/6.38 ((~(v123(constB92, bitIndex2) <=> v121(constB91, bitIndex2))) | v123(constB92, bitIndex2) | (~v121(constB91, bitIndex2))),
% 8.80/6.38 inference(tautology,[status(thm)],[])).
% 8.80/6.38 tff(17387,plain,
% 8.80/6.38 (v123(constB92, bitIndex2)),
% 8.80/6.38 inference(unit_resolution,[status(thm)],[17386, 17385, 17363])).
% 8.80/6.38 tff(17388,plain,
% 8.80/6.38 ((~(v84(constB92, bitIndex2) <=> v123(constB92, bitIndex2))) | v84(constB92, bitIndex2) | (~v123(constB92, bitIndex2))),
% 8.80/6.38 inference(tautology,[status(thm)],[])).
% 8.80/6.38 tff(17389,plain,
% 8.80/6.38 (v84(constB92, bitIndex2)),
% 8.80/6.38 inference(unit_resolution,[status(thm)],[17388, 17387, 17355])).
% 8.80/6.38 tff(17390,plain,
% 8.80/6.38 ((~(v84(constB93, bitIndex2) <=> v84(constB92, bitIndex2))) | v84(constB93, bitIndex2) | (~v84(constB92, bitIndex2))),
% 8.80/6.38 inference(tautology,[status(thm)],[])).
% 8.80/6.38 tff(17391,plain,
% 8.80/6.38 (v84(constB93, bitIndex2)),
% 8.80/6.38 inference(unit_resolution,[status(thm)],[17390, 17389, 5559])).
% 8.80/6.38 tff(17392,plain,
% 8.80/6.38 (((~![B: $i] : ((~less_3(B)) | (v84(constB93, B) <=> v84(constB92, B)))) | ((~less_3(bitIndex0)) | (v84(constB93, bitIndex0) <=> v84(constB92, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB93, B) <=> v84(constB92, B)))) | (~less_3(bitIndex0)) | (v84(constB93, bitIndex0) <=> v84(constB92, bitIndex0)))),
% 8.80/6.38 inference(rewrite,[status(thm)],[])).
% 8.80/6.38 tff(17393,plain,
% 8.80/6.38 ((~![B: $i] : ((~less_3(B)) | (v84(constB93, B) <=> v84(constB92, B)))) | ((~less_3(bitIndex0)) | (v84(constB93, bitIndex0) <=> v84(constB92, bitIndex0)))),
% 8.80/6.38 inference(quant_inst,[status(thm)],[])).
% 8.80/6.38 tff(17394,plain,
% 8.80/6.38 ((~![B: $i] : ((~less_3(B)) | (v84(constB93, B) <=> v84(constB92, B)))) | (~less_3(bitIndex0)) | (v84(constB93, bitIndex0) <=> v84(constB92, bitIndex0))),
% 8.80/6.38 inference(modus_ponens,[status(thm)],[17393, 17392])).
% 8.80/6.38 tff(17395,plain,
% 8.80/6.38 (v84(constB93, bitIndex0) <=> v84(constB92, bitIndex0)),
% 8.80/6.38 inference(unit_resolution,[status(thm)],[17394, 9772, 5555])).
% 8.80/6.38 tff(17396,plain,
% 8.80/6.38 (((~![B: $i] : ((~less_3(B)) | (v84(constB92, B) <=> v123(constB92, B)))) | ((~less_3(bitIndex0)) | (v84(constB92, bitIndex0) <=> v123(constB92, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB92, B) <=> v123(constB92, B)))) | (~less_3(bitIndex0)) | (v84(constB92, bitIndex0) <=> v123(constB92, bitIndex0)))),
% 8.80/6.38 inference(rewrite,[status(thm)],[])).
% 8.80/6.38 tff(17397,plain,
% 8.80/6.38 ((~![B: $i] : ((~less_3(B)) | (v84(constB92, B) <=> v123(constB92, B)))) | ((~less_3(bitIndex0)) | (v84(constB92, bitIndex0) <=> v123(constB92, bitIndex0)))),
% 8.80/6.38 inference(quant_inst,[status(thm)],[])).
% 8.80/6.38 tff(17398,plain,
% 8.80/6.38 ((~![B: $i] : ((~less_3(B)) | (v84(constB92, B) <=> v123(constB92, B)))) | (~less_3(bitIndex0)) | (v84(constB92, bitIndex0) <=> v123(constB92, bitIndex0))),
% 8.80/6.38 inference(modus_ponens,[status(thm)],[17397, 17396])).
% 8.80/6.38 tff(17399,plain,
% 8.80/6.38 (v84(constB92, bitIndex0) <=> v123(constB92, bitIndex0)),
% 8.80/6.38 inference(unit_resolution,[status(thm)],[17398, 9772, 17351])).
% 8.80/6.38 tff(17400,plain,
% 8.80/6.38 (((~![B: $i] : ((~less_3(B)) | (v123(constB92, B) <=> v121(constB91, B)))) | ((~less_3(bitIndex0)) | (v123(constB92, bitIndex0) <=> v121(constB91, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB92, B) <=> v121(constB91, B)))) | (~less_3(bitIndex0)) | (v123(constB92, bitIndex0) <=> v121(constB91, bitIndex0)))),
% 8.80/6.38 inference(rewrite,[status(thm)],[])).
% 8.80/6.38 tff(17401,plain,
% 8.80/6.38 ((~![B: $i] : ((~less_3(B)) | (v123(constB92, B) <=> v121(constB91, B)))) | ((~less_3(bitIndex0)) | (v123(constB92, bitIndex0) <=> v121(constB91, bitIndex0)))),
% 8.80/6.38 inference(quant_inst,[status(thm)],[])).
% 8.80/6.38 tff(17402,plain,
% 8.80/6.38 ((~![B: $i] : ((~less_3(B)) | (v123(constB92, B) <=> v121(constB91, B)))) | (~less_3(bitIndex0)) | (v123(constB92, bitIndex0) <=> v121(constB91, bitIndex0))),
% 8.80/6.38 inference(modus_ponens,[status(thm)],[17401, 17400])).
% 8.80/6.38 tff(17403,plain,
% 8.80/6.38 (v123(constB92, bitIndex0) <=> v121(constB91, bitIndex0)),
% 8.80/6.38 inference(unit_resolution,[status(thm)],[17402, 9772, 17359])).
% 8.80/6.38 tff(17404,plain,
% 8.80/6.38 (((~![B: $i] : ((~less_3(B)) | (v121(constB91, B) <=> v124(constB91, B)))) | ((~less_3(bitIndex0)) | (v121(constB91, bitIndex0) <=> v124(constB91, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB91, B) <=> v124(constB91, B)))) | (~less_3(bitIndex0)) | (v121(constB91, bitIndex0) <=> v124(constB91, bitIndex0)))),
% 8.80/6.38 inference(rewrite,[status(thm)],[])).
% 8.80/6.38 tff(17405,plain,
% 8.80/6.38 ((~![B: $i] : ((~less_3(B)) | (v121(constB91, B) <=> v124(constB91, B)))) | ((~less_3(bitIndex0)) | (v121(constB91, bitIndex0) <=> v124(constB91, bitIndex0)))),
% 8.80/6.38 inference(quant_inst,[status(thm)],[])).
% 8.80/6.38 tff(17406,plain,
% 8.80/6.38 ((~![B: $i] : ((~less_3(B)) | (v121(constB91, B) <=> v124(constB91, B)))) | (~less_3(bitIndex0)) | (v121(constB91, bitIndex0) <=> v124(constB91, bitIndex0))),
% 8.80/6.38 inference(modus_ponens,[status(thm)],[17405, 17404])).
% 8.80/6.38 tff(17407,plain,
% 8.80/6.38 (v121(constB91, bitIndex0) <=> v124(constB91, bitIndex0)),
% 8.80/6.38 inference(unit_resolution,[status(thm)],[17406, 9772, 17367])).
% 8.80/6.38 tff(17408,plain,
% 8.80/6.38 (((~![B: $i] : ((~less_3(B)) | (v124(constB91, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v124(constB91, bitIndex0) <=> b100(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB91, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v124(constB91, bitIndex0) <=> b100(bitIndex0)))),
% 8.80/6.38 inference(rewrite,[status(thm)],[])).
% 8.80/6.38 tff(17409,plain,
% 8.80/6.38 ((~![B: $i] : ((~less_3(B)) | (v124(constB91, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v124(constB91, bitIndex0) <=> b100(bitIndex0)))),
% 8.80/6.38 inference(quant_inst,[status(thm)],[])).
% 8.80/6.38 tff(17410,plain,
% 8.80/6.38 ((~![B: $i] : ((~less_3(B)) | (v124(constB91, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v124(constB91, bitIndex0) <=> b100(bitIndex0))),
% 8.80/6.38 inference(modus_ponens,[status(thm)],[17409, 17408])).
% 8.80/6.38 tff(17411,plain,
% 8.80/6.38 (v124(constB91, bitIndex0) <=> b100(bitIndex0)),
% 8.80/6.38 inference(unit_resolution,[status(thm)],[17410, 9772, 17376])).
% 8.80/6.38 tff(17412,plain,
% 8.80/6.38 ((~(v124(constB91, bitIndex0) <=> b100(bitIndex0))) | (~v124(constB91, bitIndex0)) | b100(bitIndex0)),
% 8.80/6.38 inference(tautology,[status(thm)],[])).
% 8.80/6.38 tff(17413,plain,
% 8.80/6.38 ((~(v124(constB91, bitIndex0) <=> b100(bitIndex0))) | (~v124(constB91, bitIndex0))),
% 8.80/6.38 inference(unit_resolution,[status(thm)],[17412, 10551])).
% 8.80/6.38 tff(17414,plain,
% 8.80/6.38 (~v124(constB91, bitIndex0)),
% 8.80/6.38 inference(unit_resolution,[status(thm)],[17413, 17411])).
% 8.80/6.39 tff(17415,plain,
% 8.80/6.39 ((~(v121(constB91, bitIndex0) <=> v124(constB91, bitIndex0))) | (~v121(constB91, bitIndex0)) | v124(constB91, bitIndex0)),
% 8.80/6.39 inference(tautology,[status(thm)],[])).
% 8.80/6.39 tff(17416,plain,
% 8.80/6.39 (~v121(constB91, bitIndex0)),
% 8.80/6.39 inference(unit_resolution,[status(thm)],[17415, 17414, 17407])).
% 8.80/6.39 tff(17417,plain,
% 8.80/6.39 ((~(v123(constB92, bitIndex0) <=> v121(constB91, bitIndex0))) | (~v123(constB92, bitIndex0)) | v121(constB91, bitIndex0)),
% 8.80/6.39 inference(tautology,[status(thm)],[])).
% 8.80/6.39 tff(17418,plain,
% 8.80/6.39 (~v123(constB92, bitIndex0)),
% 8.80/6.39 inference(unit_resolution,[status(thm)],[17417, 17416, 17403])).
% 8.80/6.39 tff(17419,plain,
% 8.80/6.39 ((~(v84(constB92, bitIndex0) <=> v123(constB92, bitIndex0))) | (~v84(constB92, bitIndex0)) | v123(constB92, bitIndex0)),
% 8.80/6.39 inference(tautology,[status(thm)],[])).
% 8.80/6.39 tff(17420,plain,
% 8.80/6.39 (~v84(constB92, bitIndex0)),
% 8.80/6.39 inference(unit_resolution,[status(thm)],[17419, 17418, 17399])).
% 8.80/6.39 tff(17421,plain,
% 8.80/6.39 ((~(v84(constB93, bitIndex0) <=> v84(constB92, bitIndex0))) | (~v84(constB93, bitIndex0)) | v84(constB92, bitIndex0)),
% 8.80/6.39 inference(tautology,[status(thm)],[])).
% 8.80/6.39 tff(17422,plain,
% 8.80/6.39 (~v84(constB93, bitIndex0)),
% 8.80/6.39 inference(unit_resolution,[status(thm)],[17421, 17420, 17395])).
% 8.80/6.39 tff(17423,plain,
% 8.80/6.39 (((~![B: $i] : ((~less_3(B)) | (v84(constB93, B) <=> v84(constB92, B)))) | ((~less_3(bitIndex1)) | (v84(constB93, bitIndex1) <=> v84(constB92, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB93, B) <=> v84(constB92, B)))) | (~less_3(bitIndex1)) | (v84(constB93, bitIndex1) <=> v84(constB92, bitIndex1)))),
% 8.80/6.39 inference(rewrite,[status(thm)],[])).
% 8.80/6.39 tff(17424,plain,
% 8.80/6.39 ((~![B: $i] : ((~less_3(B)) | (v84(constB93, B) <=> v84(constB92, B)))) | ((~less_3(bitIndex1)) | (v84(constB93, bitIndex1) <=> v84(constB92, bitIndex1)))),
% 8.80/6.39 inference(quant_inst,[status(thm)],[])).
% 8.80/6.39 tff(17425,plain,
% 8.80/6.39 ((~![B: $i] : ((~less_3(B)) | (v84(constB93, B) <=> v84(constB92, B)))) | (~less_3(bitIndex1)) | (v84(constB93, bitIndex1) <=> v84(constB92, bitIndex1))),
% 8.80/6.39 inference(modus_ponens,[status(thm)],[17424, 17423])).
% 8.80/6.39 tff(17426,plain,
% 8.80/6.39 (v84(constB93, bitIndex1) <=> v84(constB92, bitIndex1)),
% 8.80/6.39 inference(unit_resolution,[status(thm)],[17425, 9785, 5555])).
% 8.80/6.39 tff(17427,plain,
% 8.80/6.39 (((~![B: $i] : ((~less_3(B)) | (v84(constB92, B) <=> v123(constB92, B)))) | ((~less_3(bitIndex1)) | (v84(constB92, bitIndex1) <=> v123(constB92, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB92, B) <=> v123(constB92, B)))) | (~less_3(bitIndex1)) | (v84(constB92, bitIndex1) <=> v123(constB92, bitIndex1)))),
% 8.80/6.39 inference(rewrite,[status(thm)],[])).
% 8.80/6.39 tff(17428,plain,
% 8.80/6.39 ((~![B: $i] : ((~less_3(B)) | (v84(constB92, B) <=> v123(constB92, B)))) | ((~less_3(bitIndex1)) | (v84(constB92, bitIndex1) <=> v123(constB92, bitIndex1)))),
% 8.80/6.39 inference(quant_inst,[status(thm)],[])).
% 8.80/6.39 tff(17429,plain,
% 8.80/6.39 ((~![B: $i] : ((~less_3(B)) | (v84(constB92, B) <=> v123(constB92, B)))) | (~less_3(bitIndex1)) | (v84(constB92, bitIndex1) <=> v123(constB92, bitIndex1))),
% 8.80/6.39 inference(modus_ponens,[status(thm)],[17428, 17427])).
% 8.80/6.39 tff(17430,plain,
% 8.80/6.39 (v84(constB92, bitIndex1) <=> v123(constB92, bitIndex1)),
% 8.80/6.39 inference(unit_resolution,[status(thm)],[17429, 9785, 17351])).
% 8.80/6.39 tff(17431,plain,
% 8.80/6.39 (((~![B: $i] : ((~less_3(B)) | (v123(constB92, B) <=> v121(constB91, B)))) | ((~less_3(bitIndex1)) | (v123(constB92, bitIndex1) <=> v121(constB91, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB92, B) <=> v121(constB91, B)))) | (~less_3(bitIndex1)) | (v123(constB92, bitIndex1) <=> v121(constB91, bitIndex1)))),
% 8.80/6.39 inference(rewrite,[status(thm)],[])).
% 8.80/6.39 tff(17432,plain,
% 8.80/6.39 ((~![B: $i] : ((~less_3(B)) | (v123(constB92, B) <=> v121(constB91, B)))) | ((~less_3(bitIndex1)) | (v123(constB92, bitIndex1) <=> v121(constB91, bitIndex1)))),
% 8.80/6.39 inference(quant_inst,[status(thm)],[])).
% 8.80/6.39 tff(17433,plain,
% 8.80/6.39 ((~![B: $i] : ((~less_3(B)) | (v123(constB92, B) <=> v121(constB91, B)))) | (~less_3(bitIndex1)) | (v123(constB92, bitIndex1) <=> v121(constB91, bitIndex1))),
% 8.80/6.39 inference(modus_ponens,[status(thm)],[17432, 17431])).
% 8.80/6.39 tff(17434,plain,
% 8.80/6.39 (v123(constB92, bitIndex1) <=> v121(constB91, bitIndex1)),
% 8.80/6.39 inference(unit_resolution,[status(thm)],[17433, 9785, 17359])).
% 8.80/6.39 tff(17435,plain,
% 8.80/6.39 (((~![B: $i] : ((~less_3(B)) | (v121(constB91, B) <=> v124(constB91, B)))) | ((~less_3(bitIndex1)) | (v121(constB91, bitIndex1) <=> v124(constB91, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB91, B) <=> v124(constB91, B)))) | (~less_3(bitIndex1)) | (v121(constB91, bitIndex1) <=> v124(constB91, bitIndex1)))),
% 8.80/6.39 inference(rewrite,[status(thm)],[])).
% 8.80/6.39 tff(17436,plain,
% 8.80/6.39 ((~![B: $i] : ((~less_3(B)) | (v121(constB91, B) <=> v124(constB91, B)))) | ((~less_3(bitIndex1)) | (v121(constB91, bitIndex1) <=> v124(constB91, bitIndex1)))),
% 8.80/6.39 inference(quant_inst,[status(thm)],[])).
% 8.80/6.39 tff(17437,plain,
% 8.80/6.39 ((~![B: $i] : ((~less_3(B)) | (v121(constB91, B) <=> v124(constB91, B)))) | (~less_3(bitIndex1)) | (v121(constB91, bitIndex1) <=> v124(constB91, bitIndex1))),
% 8.80/6.39 inference(modus_ponens,[status(thm)],[17436, 17435])).
% 8.80/6.39 tff(17438,plain,
% 8.80/6.39 (v121(constB91, bitIndex1) <=> v124(constB91, bitIndex1)),
% 8.80/6.39 inference(unit_resolution,[status(thm)],[17437, 9785, 17367])).
% 8.80/6.39 tff(17439,plain,
% 8.80/6.39 (((~![B: $i] : ((~less_3(B)) | (v124(constB91, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v124(constB91, bitIndex1) <=> b100(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB91, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v124(constB91, bitIndex1) <=> b100(bitIndex1)))),
% 8.80/6.39 inference(rewrite,[status(thm)],[])).
% 8.80/6.39 tff(17440,plain,
% 8.80/6.39 ((~![B: $i] : ((~less_3(B)) | (v124(constB91, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v124(constB91, bitIndex1) <=> b100(bitIndex1)))),
% 8.80/6.39 inference(quant_inst,[status(thm)],[])).
% 8.80/6.39 tff(17441,plain,
% 8.80/6.39 ((~![B: $i] : ((~less_3(B)) | (v124(constB91, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v124(constB91, bitIndex1) <=> b100(bitIndex1))),
% 8.80/6.39 inference(modus_ponens,[status(thm)],[17440, 17439])).
% 8.80/6.39 tff(17442,plain,
% 8.80/6.39 (v124(constB91, bitIndex1) <=> b100(bitIndex1)),
% 8.80/6.39 inference(unit_resolution,[status(thm)],[17441, 9785, 17376])).
% 8.80/6.39 tff(17443,plain,
% 8.80/6.39 ((~(v124(constB91, bitIndex1) <=> b100(bitIndex1))) | (~v124(constB91, bitIndex1)) | b100(bitIndex1)),
% 8.80/6.39 inference(tautology,[status(thm)],[])).
% 8.80/6.39 tff(17444,plain,
% 8.80/6.39 ((~(v124(constB91, bitIndex1) <=> b100(bitIndex1))) | (~v124(constB91, bitIndex1))),
% 8.80/6.39 inference(unit_resolution,[status(thm)],[17443, 10585])).
% 8.80/6.39 tff(17445,plain,
% 8.80/6.39 (~v124(constB91, bitIndex1)),
% 8.80/6.39 inference(unit_resolution,[status(thm)],[17444, 17442])).
% 8.80/6.39 tff(17446,plain,
% 8.80/6.39 ((~(v121(constB91, bitIndex1) <=> v124(constB91, bitIndex1))) | (~v121(constB91, bitIndex1)) | v124(constB91, bitIndex1)),
% 8.80/6.39 inference(tautology,[status(thm)],[])).
% 8.80/6.39 tff(17447,plain,
% 8.80/6.39 (~v121(constB91, bitIndex1)),
% 8.80/6.39 inference(unit_resolution,[status(thm)],[17446, 17445, 17438])).
% 8.80/6.39 tff(17448,plain,
% 8.80/6.39 ((~(v123(constB92, bitIndex1) <=> v121(constB91, bitIndex1))) | (~v123(constB92, bitIndex1)) | v121(constB91, bitIndex1)),
% 8.80/6.39 inference(tautology,[status(thm)],[])).
% 8.80/6.39 tff(17449,plain,
% 8.80/6.39 (~v123(constB92, bitIndex1)),
% 8.80/6.39 inference(unit_resolution,[status(thm)],[17448, 17447, 17434])).
% 8.80/6.39 tff(17450,plain,
% 8.80/6.39 ((~(v84(constB92, bitIndex1) <=> v123(constB92, bitIndex1))) | (~v84(constB92, bitIndex1)) | v123(constB92, bitIndex1)),
% 8.80/6.39 inference(tautology,[status(thm)],[])).
% 8.80/6.39 tff(17451,plain,
% 8.80/6.39 (~v84(constB92, bitIndex1)),
% 8.80/6.39 inference(unit_resolution,[status(thm)],[17450, 17449, 17430])).
% 8.80/6.39 tff(17452,plain,
% 8.80/6.39 ((~(v84(constB93, bitIndex1) <=> v84(constB92, bitIndex1))) | (~v84(constB93, bitIndex1)) | v84(constB92, bitIndex1)),
% 8.80/6.39 inference(tautology,[status(thm)],[])).
% 8.80/6.39 tff(17453,plain,
% 8.80/6.39 (~v84(constB93, bitIndex1)),
% 8.80/6.39 inference(unit_resolution,[status(thm)],[17452, 17451, 17426])).
% 8.80/6.39 tff(17454,plain,
% 8.80/6.39 ((~((~v84(constB93, bitIndex2)) | v84(constB93, bitIndex1) | v84(constB93, bitIndex0))) | (~v84(constB93, bitIndex2)) | v84(constB93, bitIndex1) | v84(constB93, bitIndex0)),
% 8.80/6.39 inference(tautology,[status(thm)],[])).
% 8.80/6.39 tff(17455,plain,
% 8.80/6.39 (~((~v84(constB93, bitIndex2)) | v84(constB93, bitIndex1) | v84(constB93, bitIndex0))),
% 8.80/6.39 inference(unit_resolution,[status(thm)],[17454, 17453, 17422, 17391])).
% 8.80/6.39 tff(17456,plain,
% 8.80/6.39 ((~(v117(constB93) <=> (~((~v84(constB93, bitIndex2)) | v84(constB93, bitIndex1) | v84(constB93, bitIndex0))))) | v117(constB93) | ((~v84(constB93, bitIndex2)) | v84(constB93, bitIndex1) | v84(constB93, bitIndex0))),
% 8.80/6.39 inference(tautology,[status(thm)],[])).
% 8.80/6.39 tff(17457,plain,
% 8.80/6.39 (v117(constB93)),
% 8.80/6.39 inference(unit_resolution,[status(thm)],[17456, 17455, 5527])).
% 8.80/6.39 tff(17458,plain,
% 8.80/6.39 ((v110(constB93) | v117(constB93)) | (~v117(constB93))),
% 8.80/6.39 inference(tautology,[status(thm)],[])).
% 8.80/6.39 tff(17459,plain,
% 8.80/6.39 (v110(constB93) | v117(constB93)),
% 8.80/6.39 inference(unit_resolution,[status(thm)],[17458, 17457])).
% 8.80/6.39 tff(17460,plain,
% 8.80/6.39 ((~(v109(constB93) <=> (v110(constB93) | v117(constB93)))) | v109(constB93) | (~(v110(constB93) | v117(constB93)))),
% 8.80/6.39 inference(tautology,[status(thm)],[])).
% 8.80/6.39 tff(17461,plain,
% 8.80/6.39 (v109(constB93)),
% 8.80/6.39 inference(unit_resolution,[status(thm)],[17460, 17459, 5520])).
% 8.80/6.39 tff(17462,plain,
% 8.80/6.39 ((v109(constB93) | v118(constB93)) | (~v109(constB93))),
% 8.80/6.39 inference(tautology,[status(thm)],[])).
% 8.80/6.39 tff(17463,plain,
% 8.80/6.39 (v109(constB93) | v118(constB93)),
% 8.80/6.39 inference(unit_resolution,[status(thm)],[17462, 17461])).
% 8.80/6.39 tff(17464,plain,
% 8.80/6.39 ((~(v108(constB93) <=> (v109(constB93) | v118(constB93)))) | v108(constB93) | (~(v109(constB93) | v118(constB93)))),
% 8.80/6.39 inference(tautology,[status(thm)],[])).
% 8.80/6.39 tff(17465,plain,
% 8.80/6.39 (v108(constB93)),
% 8.80/6.39 inference(unit_resolution,[status(thm)],[17464, 17463, 5518])).
% 8.80/6.39 tff(17466,plain,
% 8.80/6.39 ((v108(constB93) | v119(constB93)) | (~v108(constB93))),
% 8.80/6.39 inference(tautology,[status(thm)],[])).
% 8.80/6.39 tff(17467,plain,
% 8.80/6.39 (v108(constB93) | v119(constB93)),
% 8.80/6.39 inference(unit_resolution,[status(thm)],[17466, 17465])).
% 8.80/6.39 tff(17468,plain,
% 8.80/6.39 ((~(v107(constB93) <=> (v108(constB93) | v119(constB93)))) | v107(constB93) | (~(v108(constB93) | v119(constB93)))),
% 8.80/6.39 inference(tautology,[status(thm)],[])).
% 8.80/6.39 tff(17469,plain,
% 8.80/6.39 (v107(constB93)),
% 8.80/6.39 inference(unit_resolution,[status(thm)],[17468, 17467, 5516])).
% 8.80/6.39 tff(17470,plain,
% 8.80/6.39 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB93)) <=> v105(constB93))),
% 8.80/6.39 inference(quant_inst,[status(thm)],[])).
% 8.80/6.39 tff(17471,plain,
% 8.80/6.39 ((~v120(constB93)) <=> v105(constB93)),
% 8.80/6.39 inference(unit_resolution,[status(thm)],[17470, 9842])).
% 8.80/6.39 tff(17472,plain,
% 8.80/6.39 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB93) <=> v26(constB93))),
% 8.80/6.39 inference(quant_inst,[status(thm)],[])).
% 8.80/6.39 tff(17473,plain,
% 8.80/6.39 (v105(constB93) <=> v26(constB93)),
% 8.80/6.39 inference(unit_resolution,[status(thm)],[17472, 9854])).
% 8.80/6.39 tff(17474,plain,
% 8.80/6.39 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB93))),
% 8.80/6.39 inference(quant_inst,[status(thm)],[])).
% 8.80/6.39 tff(17475,plain,
% 8.80/6.39 (~v26(constB93)),
% 8.80/6.39 inference(unit_resolution,[status(thm)],[17474, 9866])).
% 8.80/6.39 tff(17476,plain,
% 8.80/6.39 ((~(v105(constB93) <=> v26(constB93))) | (~v105(constB93)) | v26(constB93)),
% 8.80/6.39 inference(tautology,[status(thm)],[])).
% 8.80/6.39 tff(17477,plain,
% 8.80/6.39 ((~(v105(constB93) <=> v26(constB93))) | (~v105(constB93))),
% 8.80/6.39 inference(unit_resolution,[status(thm)],[17476, 17475])).
% 8.80/6.39 tff(17478,plain,
% 8.80/6.39 (~v105(constB93)),
% 8.80/6.39 inference(unit_resolution,[status(thm)],[17477, 17473])).
% 8.80/6.39 tff(17479,plain,
% 8.80/6.39 ((~((~v120(constB93)) <=> v105(constB93))) | v120(constB93) | v105(constB93)),
% 8.80/6.39 inference(tautology,[status(thm)],[])).
% 8.80/6.39 tff(17480,plain,
% 8.80/6.39 ((~((~v120(constB93)) <=> v105(constB93))) | v120(constB93)),
% 8.80/6.39 inference(unit_resolution,[status(thm)],[17479, 17478])).
% 8.80/6.39 tff(17481,plain,
% 8.80/6.39 (v120(constB93)),
% 8.80/6.39 inference(unit_resolution,[status(thm)],[17480, 17471])).
% 8.80/6.39 tff(17482,plain,
% 8.80/6.39 ((~((~v107(constB93)) | (~v120(constB93)))) | (~v107(constB93)) | (~v120(constB93))),
% 8.80/6.39 inference(tautology,[status(thm)],[])).
% 8.80/6.39 tff(17483,plain,
% 8.80/6.39 ((~((~v107(constB93)) | (~v120(constB93)))) | (~v107(constB93))),
% 8.80/6.39 inference(unit_resolution,[status(thm)],[17482, 17481])).
% 8.80/6.39 tff(17484,plain,
% 8.80/6.39 (~((~v107(constB93)) | (~v120(constB93)))),
% 8.80/6.39 inference(unit_resolution,[status(thm)],[17483, 17469])).
% 8.80/6.39 tff(17485,plain,
% 8.80/6.39 ((~(v106(constB93) <=> (~((~v107(constB93)) | (~v120(constB93)))))) | v106(constB93) | ((~v107(constB93)) | (~v120(constB93)))),
% 8.88/6.39 inference(tautology,[status(thm)],[])).
% 8.88/6.39 tff(17486,plain,
% 8.88/6.39 (v106(constB93)),
% 8.88/6.39 inference(unit_resolution,[status(thm)],[17485, 17484, 5514])).
% 8.88/6.39 tff(17487,plain,
% 8.88/6.39 ((v105(constB93) | v106(constB93)) | (~v106(constB93))),
% 8.88/6.39 inference(tautology,[status(thm)],[])).
% 8.88/6.39 tff(17488,plain,
% 8.88/6.39 (v105(constB93) | v106(constB93)),
% 8.88/6.39 inference(unit_resolution,[status(thm)],[17487, 17486])).
% 8.88/6.39 tff(17489,plain,
% 8.88/6.39 ((~(v102(constB93) <=> (v105(constB93) | v106(constB93)))) | v102(constB93) | (~(v105(constB93) | v106(constB93)))),
% 8.88/6.39 inference(tautology,[status(thm)],[])).
% 8.88/6.39 tff(17490,plain,
% 8.88/6.39 (v102(constB93)),
% 8.88/6.39 inference(unit_resolution,[status(thm)],[17489, 17488, 5512])).
% 8.88/6.39 tff(17491,plain,
% 8.88/6.39 ((~(v104(constB94) <=> v102(constB93))) | v104(constB94) | (~v102(constB93))),
% 8.88/6.39 inference(tautology,[status(thm)],[])).
% 8.88/6.39 tff(17492,plain,
% 8.88/6.39 (v104(constB94)),
% 8.88/6.39 inference(unit_resolution,[status(thm)],[17491, 17490, 5510])).
% 8.88/6.39 tff(17493,plain,
% 8.88/6.39 ((~((~v104(constB94)) | (~v95(constB94)))) | (~v104(constB94)) | (~v95(constB94))),
% 8.88/6.39 inference(tautology,[status(thm)],[])).
% 8.88/6.39 tff(17494,plain,
% 8.88/6.39 (~((~v104(constB94)) | (~v95(constB94)))),
% 8.88/6.39 inference(unit_resolution,[status(thm)],[17493, 17492, 5506])).
% 8.88/6.39 tff(17495,plain,
% 8.88/6.39 ((~(v94(constB94) <=> (~((~v104(constB94)) | (~v95(constB94)))))) | v94(constB94) | ((~v104(constB94)) | (~v95(constB94)))),
% 8.88/6.39 inference(tautology,[status(thm)],[])).
% 8.88/6.39 tff(17496,plain,
% 8.88/6.39 (v94(constB94)),
% 8.88/6.39 inference(unit_resolution,[status(thm)],[17495, 17494, 5475])).
% 8.88/6.39 tff(17497,plain,
% 8.88/6.39 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB94)) | ![B: $i] : ((~less_3(B)) | (v84(constB94, B) <=> v123(constB94, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB94)) | ![B: $i] : ((~less_3(B)) | (v84(constB94, B) <=> v123(constB94, B))))),
% 8.88/6.39 inference(rewrite,[status(thm)],[])).
% 8.88/6.39 tff(17498,plain,
% 8.88/6.39 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB94)) | ![B: $i] : ((~less_3(B)) | (v84(constB94, B) <=> v123(constB94, B))))),
% 8.88/6.39 inference(quant_inst,[status(thm)],[])).
% 8.88/6.39 tff(17499,plain,
% 8.88/6.39 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB94)) | ![B: $i] : ((~less_3(B)) | (v84(constB94, B) <=> v123(constB94, B)))),
% 8.88/6.39 inference(modus_ponens,[status(thm)],[17498, 17497])).
% 8.88/6.39 tff(17500,plain,
% 8.88/6.39 ((~v94(constB94)) | ![B: $i] : ((~less_3(B)) | (v84(constB94, B) <=> v123(constB94, B)))),
% 8.88/6.39 inference(unit_resolution,[status(thm)],[17499, 9902])).
% 8.88/6.39 tff(17501,plain,
% 8.88/6.39 (![B: $i] : ((~less_3(B)) | (v84(constB94, B) <=> v123(constB94, B)))),
% 8.88/6.39 inference(unit_resolution,[status(thm)],[17500, 17496])).
% 8.88/6.39 tff(17502,plain,
% 8.88/6.39 (((~![B: $i] : ((~less_3(B)) | (v84(constB94, B) <=> v123(constB94, B)))) | ((~less_3(bitIndex2)) | (v84(constB94, bitIndex2) <=> v123(constB94, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB94, B) <=> v123(constB94, B)))) | (~less_3(bitIndex2)) | (v84(constB94, bitIndex2) <=> v123(constB94, bitIndex2)))),
% 8.88/6.39 inference(rewrite,[status(thm)],[])).
% 8.88/6.39 tff(17503,plain,
% 8.88/6.39 ((~![B: $i] : ((~less_3(B)) | (v84(constB94, B) <=> v123(constB94, B)))) | ((~less_3(bitIndex2)) | (v84(constB94, bitIndex2) <=> v123(constB94, bitIndex2)))),
% 8.88/6.39 inference(quant_inst,[status(thm)],[])).
% 8.88/6.39 tff(17504,plain,
% 8.88/6.39 ((~![B: $i] : ((~less_3(B)) | (v84(constB94, B) <=> v123(constB94, B)))) | (~less_3(bitIndex2)) | (v84(constB94, bitIndex2) <=> v123(constB94, bitIndex2))),
% 8.88/6.39 inference(modus_ponens,[status(thm)],[17503, 17502])).
% 8.88/6.39 tff(17505,plain,
% 8.88/6.39 (v84(constB94, bitIndex2) <=> v123(constB94, bitIndex2)),
% 8.88/6.39 inference(unit_resolution,[status(thm)],[17504, 832, 17501])).
% 8.88/6.39 tff(17506,plain,
% 8.88/6.39 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB93, constB94)) | ![B: $i] : ((~less_3(B)) | (v123(constB94, B) <=> v121(constB93, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB93, constB94)) | ![B: $i] : ((~less_3(B)) | (v123(constB94, B) <=> v121(constB93, B))))),
% 8.88/6.39 inference(rewrite,[status(thm)],[])).
% 8.88/6.39 tff(17507,plain,
% 8.88/6.39 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB93, constB94)) | ![B: $i] : ((~less_3(B)) | (v123(constB94, B) <=> v121(constB93, B))))),
% 8.88/6.39 inference(quant_inst,[status(thm)],[])).
% 8.88/6.39 tff(17508,plain,
% 8.88/6.39 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB93, constB94)) | ![B: $i] : ((~less_3(B)) | (v123(constB94, B) <=> v121(constB93, B)))),
% 8.88/6.39 inference(modus_ponens,[status(thm)],[17507, 17506])).
% 8.88/6.39 tff(17509,plain,
% 8.88/6.39 (![B: $i] : ((~less_3(B)) | (v123(constB94, B) <=> v121(constB93, B)))),
% 8.88/6.39 inference(unit_resolution,[status(thm)],[17508, 5471, 9924])).
% 8.88/6.39 tff(17510,plain,
% 8.88/6.39 (((~![B: $i] : ((~less_3(B)) | (v123(constB94, B) <=> v121(constB93, B)))) | ((~less_3(bitIndex2)) | (v123(constB94, bitIndex2) <=> v121(constB93, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB94, B) <=> v121(constB93, B)))) | (~less_3(bitIndex2)) | (v123(constB94, bitIndex2) <=> v121(constB93, bitIndex2)))),
% 8.88/6.39 inference(rewrite,[status(thm)],[])).
% 8.88/6.39 tff(17511,plain,
% 8.88/6.39 ((~![B: $i] : ((~less_3(B)) | (v123(constB94, B) <=> v121(constB93, B)))) | ((~less_3(bitIndex2)) | (v123(constB94, bitIndex2) <=> v121(constB93, bitIndex2)))),
% 8.88/6.39 inference(quant_inst,[status(thm)],[])).
% 8.88/6.39 tff(17512,plain,
% 8.88/6.39 ((~![B: $i] : ((~less_3(B)) | (v123(constB94, B) <=> v121(constB93, B)))) | (~less_3(bitIndex2)) | (v123(constB94, bitIndex2) <=> v121(constB93, bitIndex2))),
% 8.88/6.39 inference(modus_ponens,[status(thm)],[17511, 17510])).
% 8.88/6.39 tff(17513,plain,
% 8.88/6.39 (v123(constB94, bitIndex2) <=> v121(constB93, bitIndex2)),
% 8.88/6.39 inference(unit_resolution,[status(thm)],[17512, 832, 17509])).
% 8.88/6.39 tff(17514,plain,
% 8.88/6.39 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB93) | ![B: $i] : ((~less_3(B)) | (v121(constB93, B) <=> v124(constB93, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB93) | ![B: $i] : ((~less_3(B)) | (v121(constB93, B) <=> v124(constB93, B))))),
% 8.88/6.39 inference(rewrite,[status(thm)],[])).
% 8.88/6.39 tff(17515,plain,
% 8.88/6.39 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB93) | ![B: $i] : ((~less_3(B)) | (v121(constB93, B) <=> v124(constB93, B))))),
% 8.88/6.39 inference(quant_inst,[status(thm)],[])).
% 8.88/6.39 tff(17516,plain,
% 8.88/6.39 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB93) | ![B: $i] : ((~less_3(B)) | (v121(constB93, B) <=> v124(constB93, B)))),
% 8.88/6.39 inference(modus_ponens,[status(thm)],[17515, 17514])).
% 8.88/6.39 tff(17517,plain,
% 8.88/6.39 (![B: $i] : ((~less_3(B)) | (v121(constB93, B) <=> v124(constB93, B)))),
% 8.88/6.39 inference(unit_resolution,[status(thm)],[17516, 9945, 17478])).
% 8.88/6.39 tff(17518,plain,
% 8.88/6.39 (((~![B: $i] : ((~less_3(B)) | (v121(constB93, B) <=> v124(constB93, B)))) | ((~less_3(bitIndex2)) | (v121(constB93, bitIndex2) <=> v124(constB93, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB93, B) <=> v124(constB93, B)))) | (~less_3(bitIndex2)) | (v121(constB93, bitIndex2) <=> v124(constB93, bitIndex2)))),
% 8.88/6.39 inference(rewrite,[status(thm)],[])).
% 8.88/6.39 tff(17519,plain,
% 8.88/6.39 ((~![B: $i] : ((~less_3(B)) | (v121(constB93, B) <=> v124(constB93, B)))) | ((~less_3(bitIndex2)) | (v121(constB93, bitIndex2) <=> v124(constB93, bitIndex2)))),
% 8.88/6.39 inference(quant_inst,[status(thm)],[])).
% 8.88/6.39 tff(17520,plain,
% 8.88/6.39 ((~![B: $i] : ((~less_3(B)) | (v121(constB93, B) <=> v124(constB93, B)))) | (~less_3(bitIndex2)) | (v121(constB93, bitIndex2) <=> v124(constB93, bitIndex2))),
% 8.88/6.39 inference(modus_ponens,[status(thm)],[17519, 17518])).
% 8.88/6.39 tff(17521,plain,
% 8.88/6.39 (v121(constB93, bitIndex2) <=> v124(constB93, bitIndex2)),
% 8.88/6.39 inference(unit_resolution,[status(thm)],[17520, 832, 17517])).
% 8.88/6.39 tff(17522,plain,
% 8.88/6.39 (((~![VarCurr: $i] : ((~v117(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b101(B))))) | ((~v117(constB93)) | ![B: $i] : ((~less_3(B)) | (v124(constB93, B) <=> b101(B))))) <=> ((~![VarCurr: $i] : ((~v117(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b101(B))))) | (~v117(constB93)) | ![B: $i] : ((~less_3(B)) | (v124(constB93, B) <=> b101(B))))),
% 8.88/6.39 inference(rewrite,[status(thm)],[])).
% 8.88/6.39 tff(17523,plain,
% 8.88/6.39 ((~![VarCurr: $i] : ((~v117(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b101(B))))) | ((~v117(constB93)) | ![B: $i] : ((~less_3(B)) | (v124(constB93, B) <=> b101(B))))),
% 8.88/6.39 inference(quant_inst,[status(thm)],[])).
% 8.88/6.39 tff(17524,plain,
% 8.88/6.39 ((~![VarCurr: $i] : ((~v117(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b101(B))))) | (~v117(constB93)) | ![B: $i] : ((~less_3(B)) | (v124(constB93, B) <=> b101(B)))),
% 8.88/6.39 inference(modus_ponens,[status(thm)],[17523, 17522])).
% 8.88/6.39 tff(17525,plain,
% 8.88/6.39 ((~v117(constB93)) | ![B: $i] : ((~less_3(B)) | (v124(constB93, B) <=> b101(B)))),
% 8.88/6.39 inference(unit_resolution,[status(thm)],[17524, 10677])).
% 8.88/6.39 tff(17526,plain,
% 8.88/6.39 (![B: $i] : ((~less_3(B)) | (v124(constB93, B) <=> b101(B)))),
% 8.88/6.39 inference(unit_resolution,[status(thm)],[17525, 17457])).
% 8.88/6.39 tff(17527,plain,
% 8.88/6.39 (((~![B: $i] : ((~less_3(B)) | (v124(constB93, B) <=> b101(B)))) | ((~less_3(bitIndex2)) | (v124(constB93, bitIndex2) <=> b101(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB93, B) <=> b101(B)))) | (~less_3(bitIndex2)) | (v124(constB93, bitIndex2) <=> b101(bitIndex2)))),
% 8.88/6.39 inference(rewrite,[status(thm)],[])).
% 8.88/6.39 tff(17528,plain,
% 8.88/6.39 ((~![B: $i] : ((~less_3(B)) | (v124(constB93, B) <=> b101(B)))) | ((~less_3(bitIndex2)) | (v124(constB93, bitIndex2) <=> b101(bitIndex2)))),
% 8.88/6.39 inference(quant_inst,[status(thm)],[])).
% 8.88/6.39 tff(17529,plain,
% 8.88/6.39 ((~![B: $i] : ((~less_3(B)) | (v124(constB93, B) <=> b101(B)))) | (~less_3(bitIndex2)) | (v124(constB93, bitIndex2) <=> b101(bitIndex2))),
% 8.88/6.39 inference(modus_ponens,[status(thm)],[17528, 17527])).
% 8.88/6.39 tff(17530,plain,
% 8.88/6.39 (v124(constB93, bitIndex2) <=> b101(bitIndex2)),
% 8.88/6.39 inference(unit_resolution,[status(thm)],[17529, 832, 17526])).
% 8.88/6.39 tff(17531,plain,
% 8.88/6.39 ((~(v124(constB93, bitIndex2) <=> b101(bitIndex2))) | v124(constB93, bitIndex2) | (~b101(bitIndex2))),
% 8.88/6.39 inference(tautology,[status(thm)],[])).
% 8.88/6.39 tff(17532,plain,
% 8.88/6.39 ((~(v124(constB93, bitIndex2) <=> b101(bitIndex2))) | v124(constB93, bitIndex2)),
% 8.88/6.39 inference(unit_resolution,[status(thm)],[17531, 10689])).
% 8.88/6.39 tff(17533,plain,
% 8.88/6.39 (v124(constB93, bitIndex2)),
% 8.88/6.39 inference(unit_resolution,[status(thm)],[17532, 17530])).
% 8.88/6.39 tff(17534,plain,
% 8.88/6.39 ((~(v121(constB93, bitIndex2) <=> v124(constB93, bitIndex2))) | v121(constB93, bitIndex2) | (~v124(constB93, bitIndex2))),
% 8.88/6.39 inference(tautology,[status(thm)],[])).
% 8.88/6.39 tff(17535,plain,
% 8.88/6.39 (v121(constB93, bitIndex2)),
% 8.88/6.39 inference(unit_resolution,[status(thm)],[17534, 17533, 17521])).
% 8.88/6.39 tff(17536,plain,
% 8.88/6.39 ((~(v123(constB94, bitIndex2) <=> v121(constB93, bitIndex2))) | v123(constB94, bitIndex2) | (~v121(constB93, bitIndex2))),
% 8.88/6.39 inference(tautology,[status(thm)],[])).
% 8.88/6.39 tff(17537,plain,
% 8.88/6.39 (v123(constB94, bitIndex2)),
% 8.88/6.39 inference(unit_resolution,[status(thm)],[17536, 17535, 17513])).
% 8.88/6.39 tff(17538,plain,
% 8.88/6.39 ((~(v84(constB94, bitIndex2) <=> v123(constB94, bitIndex2))) | v84(constB94, bitIndex2) | (~v123(constB94, bitIndex2))),
% 8.88/6.39 inference(tautology,[status(thm)],[])).
% 8.88/6.39 tff(17539,plain,
% 8.88/6.39 (v84(constB94, bitIndex2)),
% 8.88/6.39 inference(unit_resolution,[status(thm)],[17538, 17537, 17505])).
% 8.88/6.39 tff(17540,plain,
% 8.88/6.39 ((~(v84(constB95, bitIndex2) <=> v84(constB94, bitIndex2))) | v84(constB95, bitIndex2) | (~v84(constB94, bitIndex2))),
% 8.88/6.39 inference(tautology,[status(thm)],[])).
% 8.88/6.39 tff(17541,plain,
% 8.88/6.39 (v84(constB95, bitIndex2)),
% 8.88/6.39 inference(unit_resolution,[status(thm)],[17540, 17539, 5468])).
% 8.88/6.39 tff(17542,plain,
% 8.88/6.39 (((~![B: $i] : ((~less_3(B)) | (v84(constB95, B) <=> v84(constB94, B)))) | ((~less_3(bitIndex0)) | (v84(constB95, bitIndex0) <=> v84(constB94, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB95, B) <=> v84(constB94, B)))) | (~less_3(bitIndex0)) | (v84(constB95, bitIndex0) <=> v84(constB94, bitIndex0)))),
% 8.88/6.39 inference(rewrite,[status(thm)],[])).
% 8.88/6.39 tff(17543,plain,
% 8.88/6.39 ((~![B: $i] : ((~less_3(B)) | (v84(constB95, B) <=> v84(constB94, B)))) | ((~less_3(bitIndex0)) | (v84(constB95, bitIndex0) <=> v84(constB94, bitIndex0)))),
% 8.88/6.39 inference(quant_inst,[status(thm)],[])).
% 8.88/6.39 tff(17544,plain,
% 8.88/6.39 ((~![B: $i] : ((~less_3(B)) | (v84(constB95, B) <=> v84(constB94, B)))) | (~less_3(bitIndex0)) | (v84(constB95, bitIndex0) <=> v84(constB94, bitIndex0))),
% 8.88/6.39 inference(modus_ponens,[status(thm)],[17543, 17542])).
% 8.88/6.39 tff(17545,plain,
% 8.88/6.39 (v84(constB95, bitIndex0) <=> v84(constB94, bitIndex0)),
% 8.88/6.39 inference(unit_resolution,[status(thm)],[17544, 9772, 5464])).
% 8.88/6.39 tff(17546,plain,
% 8.88/6.39 (((~![B: $i] : ((~less_3(B)) | (v84(constB94, B) <=> v123(constB94, B)))) | ((~less_3(bitIndex0)) | (v84(constB94, bitIndex0) <=> v123(constB94, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB94, B) <=> v123(constB94, B)))) | (~less_3(bitIndex0)) | (v84(constB94, bitIndex0) <=> v123(constB94, bitIndex0)))),
% 8.88/6.39 inference(rewrite,[status(thm)],[])).
% 8.88/6.39 tff(17547,plain,
% 8.88/6.39 ((~![B: $i] : ((~less_3(B)) | (v84(constB94, B) <=> v123(constB94, B)))) | ((~less_3(bitIndex0)) | (v84(constB94, bitIndex0) <=> v123(constB94, bitIndex0)))),
% 8.88/6.39 inference(quant_inst,[status(thm)],[])).
% 8.88/6.39 tff(17548,plain,
% 8.88/6.39 ((~![B: $i] : ((~less_3(B)) | (v84(constB94, B) <=> v123(constB94, B)))) | (~less_3(bitIndex0)) | (v84(constB94, bitIndex0) <=> v123(constB94, bitIndex0))),
% 8.88/6.39 inference(modus_ponens,[status(thm)],[17547, 17546])).
% 8.88/6.39 tff(17549,plain,
% 8.88/6.39 (v84(constB94, bitIndex0) <=> v123(constB94, bitIndex0)),
% 8.88/6.39 inference(unit_resolution,[status(thm)],[17548, 9772, 17501])).
% 8.88/6.39 tff(17550,plain,
% 8.88/6.39 (((~![B: $i] : ((~less_3(B)) | (v123(constB94, B) <=> v121(constB93, B)))) | ((~less_3(bitIndex0)) | (v123(constB94, bitIndex0) <=> v121(constB93, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB94, B) <=> v121(constB93, B)))) | (~less_3(bitIndex0)) | (v123(constB94, bitIndex0) <=> v121(constB93, bitIndex0)))),
% 8.88/6.39 inference(rewrite,[status(thm)],[])).
% 8.88/6.39 tff(17551,plain,
% 8.88/6.39 ((~![B: $i] : ((~less_3(B)) | (v123(constB94, B) <=> v121(constB93, B)))) | ((~less_3(bitIndex0)) | (v123(constB94, bitIndex0) <=> v121(constB93, bitIndex0)))),
% 8.88/6.39 inference(quant_inst,[status(thm)],[])).
% 8.88/6.39 tff(17552,plain,
% 8.88/6.39 ((~![B: $i] : ((~less_3(B)) | (v123(constB94, B) <=> v121(constB93, B)))) | (~less_3(bitIndex0)) | (v123(constB94, bitIndex0) <=> v121(constB93, bitIndex0))),
% 8.88/6.39 inference(modus_ponens,[status(thm)],[17551, 17550])).
% 8.88/6.39 tff(17553,plain,
% 8.88/6.39 (v123(constB94, bitIndex0) <=> v121(constB93, bitIndex0)),
% 8.88/6.39 inference(unit_resolution,[status(thm)],[17552, 9772, 17509])).
% 8.88/6.39 tff(17554,plain,
% 8.88/6.39 (((~![B: $i] : ((~less_3(B)) | (v121(constB93, B) <=> v124(constB93, B)))) | ((~less_3(bitIndex0)) | (v121(constB93, bitIndex0) <=> v124(constB93, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB93, B) <=> v124(constB93, B)))) | (~less_3(bitIndex0)) | (v121(constB93, bitIndex0) <=> v124(constB93, bitIndex0)))),
% 8.88/6.39 inference(rewrite,[status(thm)],[])).
% 8.88/6.39 tff(17555,plain,
% 8.88/6.39 ((~![B: $i] : ((~less_3(B)) | (v121(constB93, B) <=> v124(constB93, B)))) | ((~less_3(bitIndex0)) | (v121(constB93, bitIndex0) <=> v124(constB93, bitIndex0)))),
% 8.88/6.39 inference(quant_inst,[status(thm)],[])).
% 8.88/6.39 tff(17556,plain,
% 8.88/6.39 ((~![B: $i] : ((~less_3(B)) | (v121(constB93, B) <=> v124(constB93, B)))) | (~less_3(bitIndex0)) | (v121(constB93, bitIndex0) <=> v124(constB93, bitIndex0))),
% 8.88/6.39 inference(modus_ponens,[status(thm)],[17555, 17554])).
% 8.88/6.39 tff(17557,plain,
% 8.88/6.39 (v121(constB93, bitIndex0) <=> v124(constB93, bitIndex0)),
% 8.88/6.39 inference(unit_resolution,[status(thm)],[17556, 9772, 17517])).
% 8.88/6.39 tff(17558,plain,
% 8.88/6.39 (((~![B: $i] : ((~less_3(B)) | (v124(constB93, B) <=> b101(B)))) | ((~less_3(bitIndex0)) | (v124(constB93, bitIndex0) <=> b101(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB93, B) <=> b101(B)))) | (~less_3(bitIndex0)) | (v124(constB93, bitIndex0) <=> b101(bitIndex0)))),
% 8.88/6.39 inference(rewrite,[status(thm)],[])).
% 8.88/6.39 tff(17559,plain,
% 8.88/6.39 ((~![B: $i] : ((~less_3(B)) | (v124(constB93, B) <=> b101(B)))) | ((~less_3(bitIndex0)) | (v124(constB93, bitIndex0) <=> b101(bitIndex0)))),
% 8.88/6.39 inference(quant_inst,[status(thm)],[])).
% 8.88/6.39 tff(17560,plain,
% 8.88/6.39 ((~![B: $i] : ((~less_3(B)) | (v124(constB93, B) <=> b101(B)))) | (~less_3(bitIndex0)) | (v124(constB93, bitIndex0) <=> b101(bitIndex0))),
% 8.88/6.39 inference(modus_ponens,[status(thm)],[17559, 17558])).
% 8.88/6.39 tff(17561,plain,
% 8.88/6.39 (v124(constB93, bitIndex0) <=> b101(bitIndex0)),
% 8.88/6.39 inference(unit_resolution,[status(thm)],[17560, 9772, 17526])).
% 8.88/6.39 tff(17562,plain,
% 8.88/6.39 ((~(v124(constB93, bitIndex0) <=> b101(bitIndex0))) | v124(constB93, bitIndex0) | (~b101(bitIndex0))),
% 8.88/6.39 inference(tautology,[status(thm)],[])).
% 8.88/6.39 tff(17563,plain,
% 8.88/6.39 ((~(v124(constB93, bitIndex0) <=> b101(bitIndex0))) | v124(constB93, bitIndex0)),
% 8.88/6.39 inference(unit_resolution,[status(thm)],[17562, 10723])).
% 8.88/6.39 tff(17564,plain,
% 8.88/6.39 (v124(constB93, bitIndex0)),
% 8.88/6.39 inference(unit_resolution,[status(thm)],[17563, 17561])).
% 8.88/6.39 tff(17565,plain,
% 8.88/6.39 ((~(v121(constB93, bitIndex0) <=> v124(constB93, bitIndex0))) | v121(constB93, bitIndex0) | (~v124(constB93, bitIndex0))),
% 8.88/6.39 inference(tautology,[status(thm)],[])).
% 8.88/6.39 tff(17566,plain,
% 8.88/6.39 (v121(constB93, bitIndex0)),
% 8.88/6.39 inference(unit_resolution,[status(thm)],[17565, 17564, 17557])).
% 8.88/6.39 tff(17567,plain,
% 8.88/6.39 ((~(v123(constB94, bitIndex0) <=> v121(constB93, bitIndex0))) | v123(constB94, bitIndex0) | (~v121(constB93, bitIndex0))),
% 8.88/6.39 inference(tautology,[status(thm)],[])).
% 8.88/6.39 tff(17568,plain,
% 8.88/6.39 (v123(constB94, bitIndex0)),
% 8.88/6.39 inference(unit_resolution,[status(thm)],[17567, 17566, 17553])).
% 8.88/6.39 tff(17569,plain,
% 8.88/6.39 ((~(v84(constB94, bitIndex0) <=> v123(constB94, bitIndex0))) | v84(constB94, bitIndex0) | (~v123(constB94, bitIndex0))),
% 8.88/6.39 inference(tautology,[status(thm)],[])).
% 8.88/6.39 tff(17570,plain,
% 8.88/6.39 (v84(constB94, bitIndex0)),
% 8.88/6.39 inference(unit_resolution,[status(thm)],[17569, 17568, 17549])).
% 8.88/6.39 tff(17571,plain,
% 8.88/6.39 ((~(v84(constB95, bitIndex0) <=> v84(constB94, bitIndex0))) | v84(constB95, bitIndex0) | (~v84(constB94, bitIndex0))),
% 8.88/6.39 inference(tautology,[status(thm)],[])).
% 8.88/6.39 tff(17572,plain,
% 8.88/6.39 (v84(constB95, bitIndex0)),
% 8.88/6.39 inference(unit_resolution,[status(thm)],[17571, 17570, 17545])).
% 8.88/6.39 tff(17573,plain,
% 8.88/6.39 (((~![B: $i] : ((~less_3(B)) | (v84(constB95, B) <=> v84(constB94, B)))) | ((~less_3(bitIndex1)) | (v84(constB95, bitIndex1) <=> v84(constB94, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB95, B) <=> v84(constB94, B)))) | (~less_3(bitIndex1)) | (v84(constB95, bitIndex1) <=> v84(constB94, bitIndex1)))),
% 8.88/6.39 inference(rewrite,[status(thm)],[])).
% 8.88/6.39 tff(17574,plain,
% 8.88/6.39 ((~![B: $i] : ((~less_3(B)) | (v84(constB95, B) <=> v84(constB94, B)))) | ((~less_3(bitIndex1)) | (v84(constB95, bitIndex1) <=> v84(constB94, bitIndex1)))),
% 8.88/6.39 inference(quant_inst,[status(thm)],[])).
% 8.88/6.39 tff(17575,plain,
% 8.88/6.39 ((~![B: $i] : ((~less_3(B)) | (v84(constB95, B) <=> v84(constB94, B)))) | (~less_3(bitIndex1)) | (v84(constB95, bitIndex1) <=> v84(constB94, bitIndex1))),
% 8.88/6.39 inference(modus_ponens,[status(thm)],[17574, 17573])).
% 8.88/6.39 tff(17576,plain,
% 8.88/6.39 (v84(constB95, bitIndex1) <=> v84(constB94, bitIndex1)),
% 8.88/6.39 inference(unit_resolution,[status(thm)],[17575, 9785, 5464])).
% 8.88/6.39 tff(17577,plain,
% 8.88/6.39 (((~![B: $i] : ((~less_3(B)) | (v84(constB94, B) <=> v123(constB94, B)))) | ((~less_3(bitIndex1)) | (v84(constB94, bitIndex1) <=> v123(constB94, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB94, B) <=> v123(constB94, B)))) | (~less_3(bitIndex1)) | (v84(constB94, bitIndex1) <=> v123(constB94, bitIndex1)))),
% 8.88/6.39 inference(rewrite,[status(thm)],[])).
% 8.88/6.39 tff(17578,plain,
% 8.88/6.39 ((~![B: $i] : ((~less_3(B)) | (v84(constB94, B) <=> v123(constB94, B)))) | ((~less_3(bitIndex1)) | (v84(constB94, bitIndex1) <=> v123(constB94, bitIndex1)))),
% 8.88/6.39 inference(quant_inst,[status(thm)],[])).
% 8.88/6.39 tff(17579,plain,
% 8.88/6.40 ((~![B: $i] : ((~less_3(B)) | (v84(constB94, B) <=> v123(constB94, B)))) | (~less_3(bitIndex1)) | (v84(constB94, bitIndex1) <=> v123(constB94, bitIndex1))),
% 8.88/6.40 inference(modus_ponens,[status(thm)],[17578, 17577])).
% 8.88/6.40 tff(17580,plain,
% 8.88/6.40 (v84(constB94, bitIndex1) <=> v123(constB94, bitIndex1)),
% 8.88/6.40 inference(unit_resolution,[status(thm)],[17579, 9785, 17501])).
% 8.88/6.40 tff(17581,plain,
% 8.88/6.40 (((~![B: $i] : ((~less_3(B)) | (v123(constB94, B) <=> v121(constB93, B)))) | ((~less_3(bitIndex1)) | (v123(constB94, bitIndex1) <=> v121(constB93, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB94, B) <=> v121(constB93, B)))) | (~less_3(bitIndex1)) | (v123(constB94, bitIndex1) <=> v121(constB93, bitIndex1)))),
% 8.88/6.40 inference(rewrite,[status(thm)],[])).
% 8.88/6.40 tff(17582,plain,
% 8.88/6.40 ((~![B: $i] : ((~less_3(B)) | (v123(constB94, B) <=> v121(constB93, B)))) | ((~less_3(bitIndex1)) | (v123(constB94, bitIndex1) <=> v121(constB93, bitIndex1)))),
% 8.88/6.40 inference(quant_inst,[status(thm)],[])).
% 8.88/6.40 tff(17583,plain,
% 8.88/6.40 ((~![B: $i] : ((~less_3(B)) | (v123(constB94, B) <=> v121(constB93, B)))) | (~less_3(bitIndex1)) | (v123(constB94, bitIndex1) <=> v121(constB93, bitIndex1))),
% 8.88/6.40 inference(modus_ponens,[status(thm)],[17582, 17581])).
% 8.88/6.40 tff(17584,plain,
% 8.88/6.40 (v123(constB94, bitIndex1) <=> v121(constB93, bitIndex1)),
% 8.88/6.40 inference(unit_resolution,[status(thm)],[17583, 9785, 17509])).
% 8.88/6.40 tff(17585,plain,
% 8.88/6.40 (((~![B: $i] : ((~less_3(B)) | (v121(constB93, B) <=> v124(constB93, B)))) | ((~less_3(bitIndex1)) | (v121(constB93, bitIndex1) <=> v124(constB93, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB93, B) <=> v124(constB93, B)))) | (~less_3(bitIndex1)) | (v121(constB93, bitIndex1) <=> v124(constB93, bitIndex1)))),
% 8.88/6.40 inference(rewrite,[status(thm)],[])).
% 8.88/6.40 tff(17586,plain,
% 8.88/6.40 ((~![B: $i] : ((~less_3(B)) | (v121(constB93, B) <=> v124(constB93, B)))) | ((~less_3(bitIndex1)) | (v121(constB93, bitIndex1) <=> v124(constB93, bitIndex1)))),
% 8.88/6.40 inference(quant_inst,[status(thm)],[])).
% 8.88/6.40 tff(17587,plain,
% 8.88/6.40 ((~![B: $i] : ((~less_3(B)) | (v121(constB93, B) <=> v124(constB93, B)))) | (~less_3(bitIndex1)) | (v121(constB93, bitIndex1) <=> v124(constB93, bitIndex1))),
% 8.88/6.40 inference(modus_ponens,[status(thm)],[17586, 17585])).
% 8.88/6.40 tff(17588,plain,
% 8.88/6.40 (v121(constB93, bitIndex1) <=> v124(constB93, bitIndex1)),
% 8.88/6.40 inference(unit_resolution,[status(thm)],[17587, 9785, 17517])).
% 8.88/6.40 tff(17589,plain,
% 8.88/6.40 (((~![B: $i] : ((~less_3(B)) | (v124(constB93, B) <=> b101(B)))) | ((~less_3(bitIndex1)) | (v124(constB93, bitIndex1) <=> b101(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB93, B) <=> b101(B)))) | (~less_3(bitIndex1)) | (v124(constB93, bitIndex1) <=> b101(bitIndex1)))),
% 8.88/6.40 inference(rewrite,[status(thm)],[])).
% 8.88/6.40 tff(17590,plain,
% 8.88/6.40 ((~![B: $i] : ((~less_3(B)) | (v124(constB93, B) <=> b101(B)))) | ((~less_3(bitIndex1)) | (v124(constB93, bitIndex1) <=> b101(bitIndex1)))),
% 8.88/6.40 inference(quant_inst,[status(thm)],[])).
% 8.88/6.40 tff(17591,plain,
% 8.88/6.40 ((~![B: $i] : ((~less_3(B)) | (v124(constB93, B) <=> b101(B)))) | (~less_3(bitIndex1)) | (v124(constB93, bitIndex1) <=> b101(bitIndex1))),
% 8.88/6.40 inference(modus_ponens,[status(thm)],[17590, 17589])).
% 8.88/6.40 tff(17592,plain,
% 8.88/6.40 (v124(constB93, bitIndex1) <=> b101(bitIndex1)),
% 8.88/6.40 inference(unit_resolution,[status(thm)],[17591, 9785, 17526])).
% 8.88/6.40 tff(17593,plain,
% 8.88/6.40 ((~(v124(constB93, bitIndex1) <=> b101(bitIndex1))) | (~v124(constB93, bitIndex1)) | b101(bitIndex1)),
% 8.88/6.40 inference(tautology,[status(thm)],[])).
% 8.88/6.40 tff(17594,plain,
% 8.88/6.40 ((~(v124(constB93, bitIndex1) <=> b101(bitIndex1))) | (~v124(constB93, bitIndex1))),
% 8.88/6.40 inference(unit_resolution,[status(thm)],[17593, 10757])).
% 8.88/6.40 tff(17595,plain,
% 8.88/6.40 (~v124(constB93, bitIndex1)),
% 8.88/6.40 inference(unit_resolution,[status(thm)],[17594, 17592])).
% 8.88/6.40 tff(17596,plain,
% 8.88/6.40 ((~(v121(constB93, bitIndex1) <=> v124(constB93, bitIndex1))) | (~v121(constB93, bitIndex1)) | v124(constB93, bitIndex1)),
% 8.88/6.40 inference(tautology,[status(thm)],[])).
% 8.88/6.40 tff(17597,plain,
% 8.88/6.40 (~v121(constB93, bitIndex1)),
% 8.88/6.40 inference(unit_resolution,[status(thm)],[17596, 17595, 17588])).
% 8.88/6.40 tff(17598,plain,
% 8.88/6.40 ((~(v123(constB94, bitIndex1) <=> v121(constB93, bitIndex1))) | (~v123(constB94, bitIndex1)) | v121(constB93, bitIndex1)),
% 8.88/6.40 inference(tautology,[status(thm)],[])).
% 8.88/6.40 tff(17599,plain,
% 8.88/6.40 (~v123(constB94, bitIndex1)),
% 8.88/6.40 inference(unit_resolution,[status(thm)],[17598, 17597, 17584])).
% 8.88/6.40 tff(17600,plain,
% 8.88/6.40 ((~(v84(constB94, bitIndex1) <=> v123(constB94, bitIndex1))) | (~v84(constB94, bitIndex1)) | v123(constB94, bitIndex1)),
% 8.88/6.40 inference(tautology,[status(thm)],[])).
% 8.88/6.40 tff(17601,plain,
% 8.88/6.40 (~v84(constB94, bitIndex1)),
% 8.88/6.40 inference(unit_resolution,[status(thm)],[17600, 17599, 17580])).
% 8.88/6.40 tff(17602,plain,
% 8.88/6.40 ((~(v84(constB95, bitIndex1) <=> v84(constB94, bitIndex1))) | (~v84(constB95, bitIndex1)) | v84(constB94, bitIndex1)),
% 8.88/6.40 inference(tautology,[status(thm)],[])).
% 8.88/6.40 tff(17603,plain,
% 8.88/6.40 (~v84(constB95, bitIndex1)),
% 8.88/6.40 inference(unit_resolution,[status(thm)],[17602, 17601, 17576])).
% 8.88/6.40 tff(17604,plain,
% 8.88/6.40 ((~((~v84(constB95, bitIndex2)) | v84(constB95, bitIndex1) | (~v84(constB95, bitIndex0)))) | (~v84(constB95, bitIndex2)) | v84(constB95, bitIndex1) | (~v84(constB95, bitIndex0))),
% 8.88/6.40 inference(tautology,[status(thm)],[])).
% 8.88/6.40 tff(17605,plain,
% 8.88/6.40 (~((~v84(constB95, bitIndex2)) | v84(constB95, bitIndex1) | (~v84(constB95, bitIndex0)))),
% 8.88/6.40 inference(unit_resolution,[status(thm)],[17604, 17603, 17572, 17541])).
% 8.88/6.40 tff(17606,plain,
% 8.88/6.40 ((~(v118(constB95) <=> (~((~v84(constB95, bitIndex2)) | v84(constB95, bitIndex1) | (~v84(constB95, bitIndex0)))))) | v118(constB95) | ((~v84(constB95, bitIndex2)) | v84(constB95, bitIndex1) | (~v84(constB95, bitIndex0)))),
% 8.88/6.40 inference(tautology,[status(thm)],[])).
% 8.88/6.40 tff(17607,plain,
% 8.88/6.40 (v118(constB95)),
% 8.88/6.40 inference(unit_resolution,[status(thm)],[17606, 17605, 5436])).
% 8.88/6.40 tff(17608,plain,
% 8.88/6.40 ((v109(constB95) | v118(constB95)) | (~v118(constB95))),
% 8.88/6.40 inference(tautology,[status(thm)],[])).
% 8.88/6.40 tff(17609,plain,
% 8.88/6.40 (v109(constB95) | v118(constB95)),
% 8.88/6.40 inference(unit_resolution,[status(thm)],[17608, 17607])).
% 8.88/6.40 tff(17610,plain,
% 8.88/6.40 ((~(v108(constB95) <=> (v109(constB95) | v118(constB95)))) | v108(constB95) | (~(v109(constB95) | v118(constB95)))),
% 8.88/6.40 inference(tautology,[status(thm)],[])).
% 8.88/6.40 tff(17611,plain,
% 8.88/6.40 (v108(constB95)),
% 8.88/6.40 inference(unit_resolution,[status(thm)],[17610, 17609, 5429])).
% 8.88/6.40 tff(17612,plain,
% 8.88/6.40 ((v108(constB95) | v119(constB95)) | (~v108(constB95))),
% 8.88/6.40 inference(tautology,[status(thm)],[])).
% 8.88/6.40 tff(17613,plain,
% 8.88/6.40 (v108(constB95) | v119(constB95)),
% 8.88/6.40 inference(unit_resolution,[status(thm)],[17612, 17611])).
% 8.88/6.40 tff(17614,plain,
% 8.88/6.40 ((~(v107(constB95) <=> (v108(constB95) | v119(constB95)))) | v107(constB95) | (~(v108(constB95) | v119(constB95)))),
% 8.88/6.40 inference(tautology,[status(thm)],[])).
% 8.88/6.40 tff(17615,plain,
% 8.88/6.40 (v107(constB95)),
% 8.88/6.40 inference(unit_resolution,[status(thm)],[17614, 17613, 5427])).
% 8.88/6.40 tff(17616,plain,
% 8.88/6.40 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB95)) <=> v105(constB95))),
% 8.88/6.40 inference(quant_inst,[status(thm)],[])).
% 8.88/6.40 tff(17617,plain,
% 8.88/6.40 ((~v120(constB95)) <=> v105(constB95)),
% 8.88/6.40 inference(unit_resolution,[status(thm)],[17616, 9842])).
% 8.88/6.40 tff(17618,plain,
% 8.88/6.40 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB95) <=> v26(constB95))),
% 8.88/6.40 inference(quant_inst,[status(thm)],[])).
% 8.88/6.40 tff(17619,plain,
% 8.88/6.40 (v105(constB95) <=> v26(constB95)),
% 8.88/6.40 inference(unit_resolution,[status(thm)],[17618, 9854])).
% 8.88/6.40 tff(17620,plain,
% 8.88/6.40 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB95))),
% 8.88/6.40 inference(quant_inst,[status(thm)],[])).
% 8.88/6.40 tff(17621,plain,
% 8.88/6.40 (~v26(constB95)),
% 8.88/6.40 inference(unit_resolution,[status(thm)],[17620, 9866])).
% 8.88/6.40 tff(17622,plain,
% 8.88/6.40 ((~(v105(constB95) <=> v26(constB95))) | (~v105(constB95)) | v26(constB95)),
% 8.88/6.40 inference(tautology,[status(thm)],[])).
% 8.88/6.40 tff(17623,plain,
% 8.88/6.40 ((~(v105(constB95) <=> v26(constB95))) | (~v105(constB95))),
% 8.88/6.40 inference(unit_resolution,[status(thm)],[17622, 17621])).
% 8.88/6.40 tff(17624,plain,
% 8.88/6.40 (~v105(constB95)),
% 8.88/6.40 inference(unit_resolution,[status(thm)],[17623, 17619])).
% 8.88/6.40 tff(17625,plain,
% 8.88/6.40 ((~((~v120(constB95)) <=> v105(constB95))) | v120(constB95) | v105(constB95)),
% 8.88/6.40 inference(tautology,[status(thm)],[])).
% 8.88/6.40 tff(17626,plain,
% 8.88/6.40 ((~((~v120(constB95)) <=> v105(constB95))) | v120(constB95)),
% 8.88/6.40 inference(unit_resolution,[status(thm)],[17625, 17624])).
% 8.88/6.40 tff(17627,plain,
% 8.88/6.40 (v120(constB95)),
% 8.88/6.40 inference(unit_resolution,[status(thm)],[17626, 17617])).
% 8.88/6.40 tff(17628,plain,
% 8.88/6.40 ((~((~v107(constB95)) | (~v120(constB95)))) | (~v107(constB95)) | (~v120(constB95))),
% 8.88/6.40 inference(tautology,[status(thm)],[])).
% 8.88/6.40 tff(17629,plain,
% 8.88/6.40 ((~((~v107(constB95)) | (~v120(constB95)))) | (~v107(constB95))),
% 8.88/6.40 inference(unit_resolution,[status(thm)],[17628, 17627])).
% 8.88/6.40 tff(17630,plain,
% 8.88/6.40 (~((~v107(constB95)) | (~v120(constB95)))),
% 8.88/6.40 inference(unit_resolution,[status(thm)],[17629, 17615])).
% 8.88/6.40 tff(17631,plain,
% 8.88/6.40 ((~(v106(constB95) <=> (~((~v107(constB95)) | (~v120(constB95)))))) | v106(constB95) | ((~v107(constB95)) | (~v120(constB95)))),
% 8.88/6.40 inference(tautology,[status(thm)],[])).
% 8.88/6.40 tff(17632,plain,
% 8.88/6.40 (v106(constB95)),
% 8.88/6.40 inference(unit_resolution,[status(thm)],[17631, 17630, 5425])).
% 8.88/6.40 tff(17633,plain,
% 8.88/6.40 ((v105(constB95) | v106(constB95)) | (~v106(constB95))),
% 8.88/6.40 inference(tautology,[status(thm)],[])).
% 8.88/6.40 tff(17634,plain,
% 8.88/6.40 (v105(constB95) | v106(constB95)),
% 8.88/6.40 inference(unit_resolution,[status(thm)],[17633, 17632])).
% 8.88/6.40 tff(17635,plain,
% 8.88/6.40 ((~(v102(constB95) <=> (v105(constB95) | v106(constB95)))) | v102(constB95) | (~(v105(constB95) | v106(constB95)))),
% 8.88/6.40 inference(tautology,[status(thm)],[])).
% 8.88/6.40 tff(17636,plain,
% 8.88/6.40 (v102(constB95)),
% 8.88/6.40 inference(unit_resolution,[status(thm)],[17635, 17634, 5423])).
% 8.88/6.40 tff(17637,plain,
% 8.88/6.40 ((~(v104(constB96) <=> v102(constB95))) | v104(constB96) | (~v102(constB95))),
% 8.88/6.40 inference(tautology,[status(thm)],[])).
% 8.88/6.40 tff(17638,plain,
% 8.88/6.40 (v104(constB96)),
% 8.88/6.40 inference(unit_resolution,[status(thm)],[17637, 17636, 5421])).
% 8.88/6.40 tff(17639,plain,
% 8.88/6.40 ((~((~v104(constB96)) | (~v95(constB96)))) | (~v104(constB96)) | (~v95(constB96))),
% 8.88/6.40 inference(tautology,[status(thm)],[])).
% 8.88/6.40 tff(17640,plain,
% 8.88/6.40 (~((~v104(constB96)) | (~v95(constB96)))),
% 8.88/6.40 inference(unit_resolution,[status(thm)],[17639, 17638, 5417])).
% 8.88/6.40 tff(17641,plain,
% 8.88/6.40 ((~(v94(constB96) <=> (~((~v104(constB96)) | (~v95(constB96)))))) | v94(constB96) | ((~v104(constB96)) | (~v95(constB96)))),
% 8.88/6.40 inference(tautology,[status(thm)],[])).
% 8.88/6.40 tff(17642,plain,
% 8.88/6.40 (v94(constB96)),
% 8.88/6.40 inference(unit_resolution,[status(thm)],[17641, 17640, 5386])).
% 8.88/6.40 tff(17643,plain,
% 8.88/6.40 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB96)) | ![B: $i] : ((~less_3(B)) | (v84(constB96, B) <=> v123(constB96, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB96)) | ![B: $i] : ((~less_3(B)) | (v84(constB96, B) <=> v123(constB96, B))))),
% 8.88/6.40 inference(rewrite,[status(thm)],[])).
% 8.88/6.40 tff(17644,plain,
% 8.88/6.40 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB96)) | ![B: $i] : ((~less_3(B)) | (v84(constB96, B) <=> v123(constB96, B))))),
% 8.88/6.40 inference(quant_inst,[status(thm)],[])).
% 8.88/6.40 tff(17645,plain,
% 8.88/6.40 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB96)) | ![B: $i] : ((~less_3(B)) | (v84(constB96, B) <=> v123(constB96, B)))),
% 8.88/6.40 inference(modus_ponens,[status(thm)],[17644, 17643])).
% 8.88/6.40 tff(17646,plain,
% 8.88/6.40 ((~v94(constB96)) | ![B: $i] : ((~less_3(B)) | (v84(constB96, B) <=> v123(constB96, B)))),
% 8.88/6.40 inference(unit_resolution,[status(thm)],[17645, 9902])).
% 8.88/6.40 tff(17647,plain,
% 8.88/6.40 (![B: $i] : ((~less_3(B)) | (v84(constB96, B) <=> v123(constB96, B)))),
% 8.88/6.40 inference(unit_resolution,[status(thm)],[17646, 17642])).
% 8.88/6.40 tff(17648,plain,
% 8.88/6.40 (((~![B: $i] : ((~less_3(B)) | (v84(constB96, B) <=> v123(constB96, B)))) | ((~less_3(bitIndex2)) | (v84(constB96, bitIndex2) <=> v123(constB96, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB96, B) <=> v123(constB96, B)))) | (~less_3(bitIndex2)) | (v84(constB96, bitIndex2) <=> v123(constB96, bitIndex2)))),
% 8.88/6.40 inference(rewrite,[status(thm)],[])).
% 8.88/6.40 tff(17649,plain,
% 8.88/6.40 ((~![B: $i] : ((~less_3(B)) | (v84(constB96, B) <=> v123(constB96, B)))) | ((~less_3(bitIndex2)) | (v84(constB96, bitIndex2) <=> v123(constB96, bitIndex2)))),
% 8.88/6.40 inference(quant_inst,[status(thm)],[])).
% 8.88/6.40 tff(17650,plain,
% 8.88/6.40 ((~![B: $i] : ((~less_3(B)) | (v84(constB96, B) <=> v123(constB96, B)))) | (~less_3(bitIndex2)) | (v84(constB96, bitIndex2) <=> v123(constB96, bitIndex2))),
% 8.88/6.40 inference(modus_ponens,[status(thm)],[17649, 17648])).
% 8.88/6.40 tff(17651,plain,
% 8.88/6.40 (v84(constB96, bitIndex2) <=> v123(constB96, bitIndex2)),
% 8.88/6.40 inference(unit_resolution,[status(thm)],[17650, 832, 17647])).
% 8.88/6.40 tff(17652,plain,
% 8.88/6.40 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB95, constB96)) | ![B: $i] : ((~less_3(B)) | (v123(constB96, B) <=> v121(constB95, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB95, constB96)) | ![B: $i] : ((~less_3(B)) | (v123(constB96, B) <=> v121(constB95, B))))),
% 8.88/6.40 inference(rewrite,[status(thm)],[])).
% 8.88/6.40 tff(17653,plain,
% 8.88/6.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB95, constB96)) | ![B: $i] : ((~less_3(B)) | (v123(constB96, B) <=> v121(constB95, B))))),
% 8.88/6.40 inference(quant_inst,[status(thm)],[])).
% 8.88/6.40 tff(17654,plain,
% 8.88/6.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB95, constB96)) | ![B: $i] : ((~less_3(B)) | (v123(constB96, B) <=> v121(constB95, B)))),
% 8.88/6.40 inference(modus_ponens,[status(thm)],[17653, 17652])).
% 8.88/6.40 tff(17655,plain,
% 8.88/6.40 (![B: $i] : ((~less_3(B)) | (v123(constB96, B) <=> v121(constB95, B)))),
% 8.88/6.40 inference(unit_resolution,[status(thm)],[17654, 5382, 9924])).
% 8.88/6.40 tff(17656,plain,
% 8.88/6.40 (((~![B: $i] : ((~less_3(B)) | (v123(constB96, B) <=> v121(constB95, B)))) | ((~less_3(bitIndex2)) | (v123(constB96, bitIndex2) <=> v121(constB95, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB96, B) <=> v121(constB95, B)))) | (~less_3(bitIndex2)) | (v123(constB96, bitIndex2) <=> v121(constB95, bitIndex2)))),
% 8.88/6.40 inference(rewrite,[status(thm)],[])).
% 8.88/6.40 tff(17657,plain,
% 8.88/6.40 ((~![B: $i] : ((~less_3(B)) | (v123(constB96, B) <=> v121(constB95, B)))) | ((~less_3(bitIndex2)) | (v123(constB96, bitIndex2) <=> v121(constB95, bitIndex2)))),
% 8.88/6.40 inference(quant_inst,[status(thm)],[])).
% 8.88/6.40 tff(17658,plain,
% 8.88/6.40 ((~![B: $i] : ((~less_3(B)) | (v123(constB96, B) <=> v121(constB95, B)))) | (~less_3(bitIndex2)) | (v123(constB96, bitIndex2) <=> v121(constB95, bitIndex2))),
% 8.88/6.40 inference(modus_ponens,[status(thm)],[17657, 17656])).
% 8.88/6.40 tff(17659,plain,
% 8.88/6.40 (v123(constB96, bitIndex2) <=> v121(constB95, bitIndex2)),
% 8.88/6.40 inference(unit_resolution,[status(thm)],[17658, 832, 17655])).
% 8.88/6.40 tff(17660,plain,
% 8.88/6.40 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB95) | ![B: $i] : ((~less_3(B)) | (v121(constB95, B) <=> v124(constB95, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB95) | ![B: $i] : ((~less_3(B)) | (v121(constB95, B) <=> v124(constB95, B))))),
% 8.88/6.40 inference(rewrite,[status(thm)],[])).
% 8.88/6.40 tff(17661,plain,
% 8.88/6.40 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB95) | ![B: $i] : ((~less_3(B)) | (v121(constB95, B) <=> v124(constB95, B))))),
% 8.88/6.40 inference(quant_inst,[status(thm)],[])).
% 8.88/6.40 tff(17662,plain,
% 8.88/6.40 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB95) | ![B: $i] : ((~less_3(B)) | (v121(constB95, B) <=> v124(constB95, B)))),
% 8.88/6.40 inference(modus_ponens,[status(thm)],[17661, 17660])).
% 8.88/6.40 tff(17663,plain,
% 8.88/6.40 (![B: $i] : ((~less_3(B)) | (v121(constB95, B) <=> v124(constB95, B)))),
% 8.88/6.40 inference(unit_resolution,[status(thm)],[17662, 9945, 17624])).
% 8.88/6.40 tff(17664,plain,
% 8.88/6.40 (((~![B: $i] : ((~less_3(B)) | (v121(constB95, B) <=> v124(constB95, B)))) | ((~less_3(bitIndex2)) | (v121(constB95, bitIndex2) <=> v124(constB95, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB95, B) <=> v124(constB95, B)))) | (~less_3(bitIndex2)) | (v121(constB95, bitIndex2) <=> v124(constB95, bitIndex2)))),
% 8.88/6.40 inference(rewrite,[status(thm)],[])).
% 8.88/6.40 tff(17665,plain,
% 8.88/6.40 ((~![B: $i] : ((~less_3(B)) | (v121(constB95, B) <=> v124(constB95, B)))) | ((~less_3(bitIndex2)) | (v121(constB95, bitIndex2) <=> v124(constB95, bitIndex2)))),
% 8.88/6.40 inference(quant_inst,[status(thm)],[])).
% 8.88/6.40 tff(17666,plain,
% 8.88/6.40 ((~![B: $i] : ((~less_3(B)) | (v121(constB95, B) <=> v124(constB95, B)))) | (~less_3(bitIndex2)) | (v121(constB95, bitIndex2) <=> v124(constB95, bitIndex2))),
% 8.88/6.40 inference(modus_ponens,[status(thm)],[17665, 17664])).
% 8.88/6.40 tff(17667,plain,
% 8.88/6.40 (v121(constB95, bitIndex2) <=> v124(constB95, bitIndex2)),
% 8.88/6.40 inference(unit_resolution,[status(thm)],[17666, 832, 17663])).
% 8.88/6.40 tff(17668,plain,
% 8.88/6.40 (((~![VarCurr: $i] : ((~v118(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b110(B))))) | ((~v118(constB95)) | ![B: $i] : ((~less_3(B)) | (v124(constB95, B) <=> b110(B))))) <=> ((~![VarCurr: $i] : ((~v118(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b110(B))))) | (~v118(constB95)) | ![B: $i] : ((~less_3(B)) | (v124(constB95, B) <=> b110(B))))),
% 8.88/6.40 inference(rewrite,[status(thm)],[])).
% 8.88/6.40 tff(17669,plain,
% 8.88/6.40 ((~![VarCurr: $i] : ((~v118(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b110(B))))) | ((~v118(constB95)) | ![B: $i] : ((~less_3(B)) | (v124(constB95, B) <=> b110(B))))),
% 8.88/6.40 inference(quant_inst,[status(thm)],[])).
% 8.88/6.40 tff(17670,plain,
% 8.88/6.40 ((~![VarCurr: $i] : ((~v118(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b110(B))))) | (~v118(constB95)) | ![B: $i] : ((~less_3(B)) | (v124(constB95, B) <=> b110(B)))),
% 8.88/6.40 inference(modus_ponens,[status(thm)],[17669, 17668])).
% 8.88/6.40 tff(17671,plain,
% 8.88/6.40 ((~v118(constB95)) | ![B: $i] : ((~less_3(B)) | (v124(constB95, B) <=> b110(B)))),
% 8.88/6.40 inference(unit_resolution,[status(thm)],[17670, 10845])).
% 8.88/6.40 tff(17672,plain,
% 8.88/6.40 (![B: $i] : ((~less_3(B)) | (v124(constB95, B) <=> b110(B)))),
% 8.88/6.40 inference(unit_resolution,[status(thm)],[17671, 17607])).
% 8.88/6.40 tff(17673,plain,
% 8.88/6.40 (((~![B: $i] : ((~less_3(B)) | (v124(constB95, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v124(constB95, bitIndex2) <=> b110(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB95, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v124(constB95, bitIndex2) <=> b110(bitIndex2)))),
% 8.88/6.40 inference(rewrite,[status(thm)],[])).
% 8.88/6.40 tff(17674,plain,
% 8.88/6.40 ((~![B: $i] : ((~less_3(B)) | (v124(constB95, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v124(constB95, bitIndex2) <=> b110(bitIndex2)))),
% 8.88/6.40 inference(quant_inst,[status(thm)],[])).
% 8.88/6.40 tff(17675,plain,
% 8.88/6.40 ((~![B: $i] : ((~less_3(B)) | (v124(constB95, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v124(constB95, bitIndex2) <=> b110(bitIndex2))),
% 8.88/6.40 inference(modus_ponens,[status(thm)],[17674, 17673])).
% 8.88/6.40 tff(17676,plain,
% 8.88/6.40 (v124(constB95, bitIndex2) <=> b110(bitIndex2)),
% 8.88/6.40 inference(unit_resolution,[status(thm)],[17675, 832, 17672])).
% 8.88/6.40 tff(17677,plain,
% 8.88/6.40 ((~(v124(constB95, bitIndex2) <=> b110(bitIndex2))) | v124(constB95, bitIndex2) | (~b110(bitIndex2))),
% 8.88/6.40 inference(tautology,[status(thm)],[])).
% 8.88/6.40 tff(17678,plain,
% 8.88/6.40 ((~(v124(constB95, bitIndex2) <=> b110(bitIndex2))) | v124(constB95, bitIndex2)),
% 8.88/6.40 inference(unit_resolution,[status(thm)],[17677, 10857])).
% 8.88/6.40 tff(17679,plain,
% 8.88/6.40 (v124(constB95, bitIndex2)),
% 8.88/6.40 inference(unit_resolution,[status(thm)],[17678, 17676])).
% 8.88/6.40 tff(17680,plain,
% 8.88/6.40 ((~(v121(constB95, bitIndex2) <=> v124(constB95, bitIndex2))) | v121(constB95, bitIndex2) | (~v124(constB95, bitIndex2))),
% 8.88/6.40 inference(tautology,[status(thm)],[])).
% 8.88/6.40 tff(17681,plain,
% 8.88/6.40 (v121(constB95, bitIndex2)),
% 8.88/6.40 inference(unit_resolution,[status(thm)],[17680, 17679, 17667])).
% 8.88/6.40 tff(17682,plain,
% 8.88/6.40 ((~(v123(constB96, bitIndex2) <=> v121(constB95, bitIndex2))) | v123(constB96, bitIndex2) | (~v121(constB95, bitIndex2))),
% 8.88/6.40 inference(tautology,[status(thm)],[])).
% 8.88/6.40 tff(17683,plain,
% 8.88/6.40 (v123(constB96, bitIndex2)),
% 8.88/6.40 inference(unit_resolution,[status(thm)],[17682, 17681, 17659])).
% 8.88/6.40 tff(17684,plain,
% 8.88/6.40 ((~(v84(constB96, bitIndex2) <=> v123(constB96, bitIndex2))) | v84(constB96, bitIndex2) | (~v123(constB96, bitIndex2))),
% 8.88/6.40 inference(tautology,[status(thm)],[])).
% 8.88/6.40 tff(17685,plain,
% 8.88/6.40 (v84(constB96, bitIndex2)),
% 8.88/6.40 inference(unit_resolution,[status(thm)],[17684, 17683, 17651])).
% 8.88/6.40 tff(17686,plain,
% 8.88/6.40 ((~(v84(constB97, bitIndex2) <=> v84(constB96, bitIndex2))) | v84(constB97, bitIndex2) | (~v84(constB96, bitIndex2))),
% 8.88/6.40 inference(tautology,[status(thm)],[])).
% 8.88/6.40 tff(17687,plain,
% 8.88/6.40 (v84(constB97, bitIndex2)),
% 8.88/6.40 inference(unit_resolution,[status(thm)],[17686, 17685, 5379])).
% 8.88/6.40 tff(17688,plain,
% 8.88/6.40 (((~![B: $i] : ((~less_3(B)) | (v84(constB97, B) <=> v84(constB96, B)))) | ((~less_3(bitIndex0)) | (v84(constB97, bitIndex0) <=> v84(constB96, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB97, B) <=> v84(constB96, B)))) | (~less_3(bitIndex0)) | (v84(constB97, bitIndex0) <=> v84(constB96, bitIndex0)))),
% 8.88/6.40 inference(rewrite,[status(thm)],[])).
% 8.88/6.40 tff(17689,plain,
% 8.88/6.40 ((~![B: $i] : ((~less_3(B)) | (v84(constB97, B) <=> v84(constB96, B)))) | ((~less_3(bitIndex0)) | (v84(constB97, bitIndex0) <=> v84(constB96, bitIndex0)))),
% 8.88/6.40 inference(quant_inst,[status(thm)],[])).
% 8.88/6.40 tff(17690,plain,
% 8.88/6.40 ((~![B: $i] : ((~less_3(B)) | (v84(constB97, B) <=> v84(constB96, B)))) | (~less_3(bitIndex0)) | (v84(constB97, bitIndex0) <=> v84(constB96, bitIndex0))),
% 8.88/6.40 inference(modus_ponens,[status(thm)],[17689, 17688])).
% 8.88/6.40 tff(17691,plain,
% 8.88/6.40 (v84(constB97, bitIndex0) <=> v84(constB96, bitIndex0)),
% 8.88/6.40 inference(unit_resolution,[status(thm)],[17690, 9772, 5375])).
% 8.88/6.40 tff(17692,plain,
% 8.88/6.40 (((~![B: $i] : ((~less_3(B)) | (v84(constB96, B) <=> v123(constB96, B)))) | ((~less_3(bitIndex0)) | (v84(constB96, bitIndex0) <=> v123(constB96, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB96, B) <=> v123(constB96, B)))) | (~less_3(bitIndex0)) | (v84(constB96, bitIndex0) <=> v123(constB96, bitIndex0)))),
% 8.88/6.40 inference(rewrite,[status(thm)],[])).
% 8.88/6.40 tff(17693,plain,
% 8.88/6.40 ((~![B: $i] : ((~less_3(B)) | (v84(constB96, B) <=> v123(constB96, B)))) | ((~less_3(bitIndex0)) | (v84(constB96, bitIndex0) <=> v123(constB96, bitIndex0)))),
% 8.88/6.40 inference(quant_inst,[status(thm)],[])).
% 8.88/6.40 tff(17694,plain,
% 8.88/6.40 ((~![B: $i] : ((~less_3(B)) | (v84(constB96, B) <=> v123(constB96, B)))) | (~less_3(bitIndex0)) | (v84(constB96, bitIndex0) <=> v123(constB96, bitIndex0))),
% 8.88/6.40 inference(modus_ponens,[status(thm)],[17693, 17692])).
% 8.88/6.40 tff(17695,plain,
% 8.88/6.40 (v84(constB96, bitIndex0) <=> v123(constB96, bitIndex0)),
% 8.88/6.40 inference(unit_resolution,[status(thm)],[17694, 9772, 17647])).
% 8.88/6.40 tff(17696,plain,
% 8.88/6.40 (((~![B: $i] : ((~less_3(B)) | (v123(constB96, B) <=> v121(constB95, B)))) | ((~less_3(bitIndex0)) | (v123(constB96, bitIndex0) <=> v121(constB95, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB96, B) <=> v121(constB95, B)))) | (~less_3(bitIndex0)) | (v123(constB96, bitIndex0) <=> v121(constB95, bitIndex0)))),
% 8.88/6.40 inference(rewrite,[status(thm)],[])).
% 8.88/6.40 tff(17697,plain,
% 8.88/6.40 ((~![B: $i] : ((~less_3(B)) | (v123(constB96, B) <=> v121(constB95, B)))) | ((~less_3(bitIndex0)) | (v123(constB96, bitIndex0) <=> v121(constB95, bitIndex0)))),
% 8.88/6.40 inference(quant_inst,[status(thm)],[])).
% 8.88/6.40 tff(17698,plain,
% 8.88/6.40 ((~![B: $i] : ((~less_3(B)) | (v123(constB96, B) <=> v121(constB95, B)))) | (~less_3(bitIndex0)) | (v123(constB96, bitIndex0) <=> v121(constB95, bitIndex0))),
% 8.88/6.40 inference(modus_ponens,[status(thm)],[17697, 17696])).
% 8.88/6.40 tff(17699,plain,
% 8.88/6.40 (v123(constB96, bitIndex0) <=> v121(constB95, bitIndex0)),
% 8.88/6.40 inference(unit_resolution,[status(thm)],[17698, 9772, 17655])).
% 8.88/6.40 tff(17700,plain,
% 8.88/6.40 (((~![B: $i] : ((~less_3(B)) | (v121(constB95, B) <=> v124(constB95, B)))) | ((~less_3(bitIndex0)) | (v121(constB95, bitIndex0) <=> v124(constB95, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB95, B) <=> v124(constB95, B)))) | (~less_3(bitIndex0)) | (v121(constB95, bitIndex0) <=> v124(constB95, bitIndex0)))),
% 8.88/6.40 inference(rewrite,[status(thm)],[])).
% 8.88/6.40 tff(17701,plain,
% 8.88/6.40 ((~![B: $i] : ((~less_3(B)) | (v121(constB95, B) <=> v124(constB95, B)))) | ((~less_3(bitIndex0)) | (v121(constB95, bitIndex0) <=> v124(constB95, bitIndex0)))),
% 8.88/6.40 inference(quant_inst,[status(thm)],[])).
% 8.88/6.40 tff(17702,plain,
% 8.88/6.40 ((~![B: $i] : ((~less_3(B)) | (v121(constB95, B) <=> v124(constB95, B)))) | (~less_3(bitIndex0)) | (v121(constB95, bitIndex0) <=> v124(constB95, bitIndex0))),
% 8.88/6.40 inference(modus_ponens,[status(thm)],[17701, 17700])).
% 8.88/6.40 tff(17703,plain,
% 8.88/6.40 (v121(constB95, bitIndex0) <=> v124(constB95, bitIndex0)),
% 8.88/6.40 inference(unit_resolution,[status(thm)],[17702, 9772, 17663])).
% 8.88/6.40 tff(17704,plain,
% 8.88/6.40 (((~![B: $i] : ((~less_3(B)) | (v124(constB95, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v124(constB95, bitIndex0) <=> b110(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB95, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v124(constB95, bitIndex0) <=> b110(bitIndex0)))),
% 8.88/6.40 inference(rewrite,[status(thm)],[])).
% 8.88/6.40 tff(17705,plain,
% 8.88/6.40 ((~![B: $i] : ((~less_3(B)) | (v124(constB95, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v124(constB95, bitIndex0) <=> b110(bitIndex0)))),
% 8.88/6.40 inference(quant_inst,[status(thm)],[])).
% 8.88/6.40 tff(17706,plain,
% 8.88/6.40 ((~![B: $i] : ((~less_3(B)) | (v124(constB95, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v124(constB95, bitIndex0) <=> b110(bitIndex0))),
% 8.88/6.40 inference(modus_ponens,[status(thm)],[17705, 17704])).
% 8.88/6.40 tff(17707,plain,
% 8.88/6.40 (v124(constB95, bitIndex0) <=> b110(bitIndex0)),
% 8.88/6.40 inference(unit_resolution,[status(thm)],[17706, 9772, 17672])).
% 8.88/6.40 tff(17708,plain,
% 8.88/6.40 ((~(v124(constB95, bitIndex0) <=> b110(bitIndex0))) | (~v124(constB95, bitIndex0)) | b110(bitIndex0)),
% 8.88/6.40 inference(tautology,[status(thm)],[])).
% 8.88/6.40 tff(17709,plain,
% 8.88/6.40 ((~(v124(constB95, bitIndex0) <=> b110(bitIndex0))) | (~v124(constB95, bitIndex0))),
% 8.88/6.40 inference(unit_resolution,[status(thm)],[17708, 10891])).
% 8.88/6.40 tff(17710,plain,
% 8.88/6.40 (~v124(constB95, bitIndex0)),
% 8.88/6.40 inference(unit_resolution,[status(thm)],[17709, 17707])).
% 8.88/6.40 tff(17711,plain,
% 8.88/6.40 ((~(v121(constB95, bitIndex0) <=> v124(constB95, bitIndex0))) | (~v121(constB95, bitIndex0)) | v124(constB95, bitIndex0)),
% 8.88/6.40 inference(tautology,[status(thm)],[])).
% 8.88/6.40 tff(17712,plain,
% 8.88/6.40 (~v121(constB95, bitIndex0)),
% 8.88/6.40 inference(unit_resolution,[status(thm)],[17711, 17710, 17703])).
% 8.88/6.40 tff(17713,plain,
% 8.88/6.40 ((~(v123(constB96, bitIndex0) <=> v121(constB95, bitIndex0))) | (~v123(constB96, bitIndex0)) | v121(constB95, bitIndex0)),
% 8.88/6.40 inference(tautology,[status(thm)],[])).
% 8.88/6.40 tff(17714,plain,
% 8.88/6.40 (~v123(constB96, bitIndex0)),
% 8.88/6.40 inference(unit_resolution,[status(thm)],[17713, 17712, 17699])).
% 8.88/6.40 tff(17715,plain,
% 8.88/6.40 ((~(v84(constB96, bitIndex0) <=> v123(constB96, bitIndex0))) | (~v84(constB96, bitIndex0)) | v123(constB96, bitIndex0)),
% 8.88/6.40 inference(tautology,[status(thm)],[])).
% 8.88/6.40 tff(17716,plain,
% 8.88/6.40 (~v84(constB96, bitIndex0)),
% 8.88/6.40 inference(unit_resolution,[status(thm)],[17715, 17714, 17695])).
% 8.88/6.40 tff(17717,plain,
% 8.88/6.40 ((~(v84(constB97, bitIndex0) <=> v84(constB96, bitIndex0))) | (~v84(constB97, bitIndex0)) | v84(constB96, bitIndex0)),
% 8.88/6.40 inference(tautology,[status(thm)],[])).
% 8.88/6.40 tff(17718,plain,
% 8.88/6.40 (~v84(constB97, bitIndex0)),
% 8.88/6.40 inference(unit_resolution,[status(thm)],[17717, 17716, 17691])).
% 8.88/6.40 tff(17719,plain,
% 8.88/6.40 (((~![B: $i] : ((~less_3(B)) | (v84(constB97, B) <=> v84(constB96, B)))) | ((~less_3(bitIndex1)) | (v84(constB97, bitIndex1) <=> v84(constB96, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB97, B) <=> v84(constB96, B)))) | (~less_3(bitIndex1)) | (v84(constB97, bitIndex1) <=> v84(constB96, bitIndex1)))),
% 8.88/6.40 inference(rewrite,[status(thm)],[])).
% 8.88/6.40 tff(17720,plain,
% 8.88/6.40 ((~![B: $i] : ((~less_3(B)) | (v84(constB97, B) <=> v84(constB96, B)))) | ((~less_3(bitIndex1)) | (v84(constB97, bitIndex1) <=> v84(constB96, bitIndex1)))),
% 8.88/6.40 inference(quant_inst,[status(thm)],[])).
% 8.88/6.40 tff(17721,plain,
% 8.88/6.40 ((~![B: $i] : ((~less_3(B)) | (v84(constB97, B) <=> v84(constB96, B)))) | (~less_3(bitIndex1)) | (v84(constB97, bitIndex1) <=> v84(constB96, bitIndex1))),
% 8.88/6.40 inference(modus_ponens,[status(thm)],[17720, 17719])).
% 8.88/6.40 tff(17722,plain,
% 8.88/6.40 (v84(constB97, bitIndex1) <=> v84(constB96, bitIndex1)),
% 8.88/6.40 inference(unit_resolution,[status(thm)],[17721, 9785, 5375])).
% 8.88/6.40 tff(17723,plain,
% 8.88/6.40 (((~![B: $i] : ((~less_3(B)) | (v84(constB96, B) <=> v123(constB96, B)))) | ((~less_3(bitIndex1)) | (v84(constB96, bitIndex1) <=> v123(constB96, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB96, B) <=> v123(constB96, B)))) | (~less_3(bitIndex1)) | (v84(constB96, bitIndex1) <=> v123(constB96, bitIndex1)))),
% 8.88/6.40 inference(rewrite,[status(thm)],[])).
% 8.88/6.40 tff(17724,plain,
% 8.88/6.40 ((~![B: $i] : ((~less_3(B)) | (v84(constB96, B) <=> v123(constB96, B)))) | ((~less_3(bitIndex1)) | (v84(constB96, bitIndex1) <=> v123(constB96, bitIndex1)))),
% 8.88/6.40 inference(quant_inst,[status(thm)],[])).
% 8.88/6.40 tff(17725,plain,
% 8.88/6.40 ((~![B: $i] : ((~less_3(B)) | (v84(constB96, B) <=> v123(constB96, B)))) | (~less_3(bitIndex1)) | (v84(constB96, bitIndex1) <=> v123(constB96, bitIndex1))),
% 8.88/6.40 inference(modus_ponens,[status(thm)],[17724, 17723])).
% 8.88/6.40 tff(17726,plain,
% 8.88/6.40 (v84(constB96, bitIndex1) <=> v123(constB96, bitIndex1)),
% 8.88/6.40 inference(unit_resolution,[status(thm)],[17725, 9785, 17647])).
% 8.88/6.40 tff(17727,plain,
% 8.88/6.40 (((~![B: $i] : ((~less_3(B)) | (v123(constB96, B) <=> v121(constB95, B)))) | ((~less_3(bitIndex1)) | (v123(constB96, bitIndex1) <=> v121(constB95, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB96, B) <=> v121(constB95, B)))) | (~less_3(bitIndex1)) | (v123(constB96, bitIndex1) <=> v121(constB95, bitIndex1)))),
% 8.88/6.40 inference(rewrite,[status(thm)],[])).
% 8.88/6.40 tff(17728,plain,
% 8.88/6.40 ((~![B: $i] : ((~less_3(B)) | (v123(constB96, B) <=> v121(constB95, B)))) | ((~less_3(bitIndex1)) | (v123(constB96, bitIndex1) <=> v121(constB95, bitIndex1)))),
% 8.88/6.40 inference(quant_inst,[status(thm)],[])).
% 8.88/6.40 tff(17729,plain,
% 8.88/6.40 ((~![B: $i] : ((~less_3(B)) | (v123(constB96, B) <=> v121(constB95, B)))) | (~less_3(bitIndex1)) | (v123(constB96, bitIndex1) <=> v121(constB95, bitIndex1))),
% 8.88/6.40 inference(modus_ponens,[status(thm)],[17728, 17727])).
% 8.88/6.40 tff(17730,plain,
% 8.88/6.40 (v123(constB96, bitIndex1) <=> v121(constB95, bitIndex1)),
% 8.88/6.40 inference(unit_resolution,[status(thm)],[17729, 9785, 17655])).
% 8.88/6.40 tff(17731,plain,
% 8.88/6.40 (((~![B: $i] : ((~less_3(B)) | (v121(constB95, B) <=> v124(constB95, B)))) | ((~less_3(bitIndex1)) | (v121(constB95, bitIndex1) <=> v124(constB95, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB95, B) <=> v124(constB95, B)))) | (~less_3(bitIndex1)) | (v121(constB95, bitIndex1) <=> v124(constB95, bitIndex1)))),
% 8.88/6.40 inference(rewrite,[status(thm)],[])).
% 8.88/6.40 tff(17732,plain,
% 8.88/6.40 ((~![B: $i] : ((~less_3(B)) | (v121(constB95, B) <=> v124(constB95, B)))) | ((~less_3(bitIndex1)) | (v121(constB95, bitIndex1) <=> v124(constB95, bitIndex1)))),
% 8.88/6.40 inference(quant_inst,[status(thm)],[])).
% 8.88/6.40 tff(17733,plain,
% 8.88/6.40 ((~![B: $i] : ((~less_3(B)) | (v121(constB95, B) <=> v124(constB95, B)))) | (~less_3(bitIndex1)) | (v121(constB95, bitIndex1) <=> v124(constB95, bitIndex1))),
% 8.88/6.40 inference(modus_ponens,[status(thm)],[17732, 17731])).
% 8.88/6.40 tff(17734,plain,
% 8.88/6.40 (v121(constB95, bitIndex1) <=> v124(constB95, bitIndex1)),
% 8.88/6.40 inference(unit_resolution,[status(thm)],[17733, 9785, 17663])).
% 8.88/6.40 tff(17735,plain,
% 8.88/6.40 (((~![B: $i] : ((~less_3(B)) | (v124(constB95, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v124(constB95, bitIndex1) <=> b110(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB95, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v124(constB95, bitIndex1) <=> b110(bitIndex1)))),
% 8.88/6.40 inference(rewrite,[status(thm)],[])).
% 8.88/6.40 tff(17736,plain,
% 8.88/6.40 ((~![B: $i] : ((~less_3(B)) | (v124(constB95, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v124(constB95, bitIndex1) <=> b110(bitIndex1)))),
% 8.88/6.40 inference(quant_inst,[status(thm)],[])).
% 8.88/6.40 tff(17737,plain,
% 8.88/6.40 ((~![B: $i] : ((~less_3(B)) | (v124(constB95, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v124(constB95, bitIndex1) <=> b110(bitIndex1))),
% 8.88/6.40 inference(modus_ponens,[status(thm)],[17736, 17735])).
% 8.88/6.40 tff(17738,plain,
% 8.88/6.40 (v124(constB95, bitIndex1) <=> b110(bitIndex1)),
% 8.88/6.40 inference(unit_resolution,[status(thm)],[17737, 9785, 17672])).
% 8.88/6.40 tff(17739,plain,
% 8.88/6.40 ((~(v124(constB95, bitIndex1) <=> b110(bitIndex1))) | v124(constB95, bitIndex1) | (~b110(bitIndex1))),
% 8.88/6.40 inference(tautology,[status(thm)],[])).
% 8.88/6.40 tff(17740,plain,
% 8.88/6.40 ((~(v124(constB95, bitIndex1) <=> b110(bitIndex1))) | v124(constB95, bitIndex1)),
% 8.88/6.40 inference(unit_resolution,[status(thm)],[17739, 10925])).
% 8.88/6.40 tff(17741,plain,
% 8.88/6.40 (v124(constB95, bitIndex1)),
% 8.88/6.40 inference(unit_resolution,[status(thm)],[17740, 17738])).
% 8.88/6.40 tff(17742,plain,
% 8.88/6.40 ((~(v121(constB95, bitIndex1) <=> v124(constB95, bitIndex1))) | v121(constB95, bitIndex1) | (~v124(constB95, bitIndex1))),
% 8.88/6.40 inference(tautology,[status(thm)],[])).
% 8.88/6.40 tff(17743,plain,
% 8.88/6.40 (v121(constB95, bitIndex1)),
% 8.88/6.40 inference(unit_resolution,[status(thm)],[17742, 17741, 17734])).
% 8.88/6.40 tff(17744,plain,
% 8.88/6.40 ((~(v123(constB96, bitIndex1) <=> v121(constB95, bitIndex1))) | v123(constB96, bitIndex1) | (~v121(constB95, bitIndex1))),
% 8.88/6.40 inference(tautology,[status(thm)],[])).
% 8.88/6.40 tff(17745,plain,
% 8.88/6.40 (v123(constB96, bitIndex1)),
% 8.88/6.40 inference(unit_resolution,[status(thm)],[17744, 17743, 17730])).
% 8.88/6.40 tff(17746,plain,
% 8.88/6.40 ((~(v84(constB96, bitIndex1) <=> v123(constB96, bitIndex1))) | v84(constB96, bitIndex1) | (~v123(constB96, bitIndex1))),
% 8.88/6.40 inference(tautology,[status(thm)],[])).
% 8.88/6.40 tff(17747,plain,
% 8.88/6.40 (v84(constB96, bitIndex1)),
% 8.88/6.40 inference(unit_resolution,[status(thm)],[17746, 17745, 17726])).
% 8.88/6.40 tff(17748,plain,
% 8.88/6.40 ((~(v84(constB97, bitIndex1) <=> v84(constB96, bitIndex1))) | v84(constB97, bitIndex1) | (~v84(constB96, bitIndex1))),
% 8.88/6.40 inference(tautology,[status(thm)],[])).
% 8.88/6.40 tff(17749,plain,
% 8.88/6.40 (v84(constB97, bitIndex1)),
% 8.88/6.40 inference(unit_resolution,[status(thm)],[17748, 17747, 17722])).
% 8.88/6.40 tff(17750,plain,
% 8.88/6.40 ((~((~v84(constB97, bitIndex2)) | (~v84(constB97, bitIndex1)) | v84(constB97, bitIndex0))) | (~v84(constB97, bitIndex2)) | (~v84(constB97, bitIndex1)) | v84(constB97, bitIndex0)),
% 8.88/6.40 inference(tautology,[status(thm)],[])).
% 8.88/6.40 tff(17751,plain,
% 8.88/6.40 (~((~v84(constB97, bitIndex2)) | (~v84(constB97, bitIndex1)) | v84(constB97, bitIndex0))),
% 8.88/6.40 inference(unit_resolution,[status(thm)],[17750, 17749, 17718, 17687])).
% 8.88/6.40 tff(17752,plain,
% 8.88/6.40 ((~(v119(constB97) <=> (~((~v84(constB97, bitIndex2)) | (~v84(constB97, bitIndex1)) | v84(constB97, bitIndex0))))) | v119(constB97) | ((~v84(constB97, bitIndex2)) | (~v84(constB97, bitIndex1)) | v84(constB97, bitIndex0))),
% 8.88/6.40 inference(tautology,[status(thm)],[])).
% 8.88/6.40 tff(17753,plain,
% 8.88/6.40 (v119(constB97)),
% 8.88/6.40 inference(unit_resolution,[status(thm)],[17752, 17751, 5347])).
% 8.88/6.40 tff(17754,plain,
% 8.88/6.40 ((v108(constB97) | v119(constB97)) | (~v119(constB97))),
% 8.88/6.40 inference(tautology,[status(thm)],[])).
% 8.88/6.40 tff(17755,plain,
% 8.88/6.40 (v108(constB97) | v119(constB97)),
% 8.88/6.40 inference(unit_resolution,[status(thm)],[17754, 17753])).
% 8.88/6.40 tff(17756,plain,
% 8.88/6.40 ((~(v107(constB97) <=> (v108(constB97) | v119(constB97)))) | v107(constB97) | (~(v108(constB97) | v119(constB97)))),
% 8.88/6.40 inference(tautology,[status(thm)],[])).
% 8.88/6.40 tff(17757,plain,
% 8.88/6.40 (v107(constB97)),
% 8.88/6.40 inference(unit_resolution,[status(thm)],[17756, 17755, 5340])).
% 8.88/6.40 tff(17758,plain,
% 8.88/6.40 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB97)) <=> v105(constB97))),
% 8.88/6.40 inference(quant_inst,[status(thm)],[])).
% 8.88/6.41 tff(17759,plain,
% 8.88/6.41 ((~v120(constB97)) <=> v105(constB97)),
% 8.88/6.41 inference(unit_resolution,[status(thm)],[17758, 9842])).
% 8.88/6.41 tff(17760,plain,
% 8.88/6.41 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB97) <=> v26(constB97))),
% 8.88/6.41 inference(quant_inst,[status(thm)],[])).
% 8.88/6.41 tff(17761,plain,
% 8.88/6.41 (v105(constB97) <=> v26(constB97)),
% 8.88/6.41 inference(unit_resolution,[status(thm)],[17760, 9854])).
% 8.88/6.41 tff(17762,plain,
% 8.88/6.41 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB97))),
% 8.88/6.41 inference(quant_inst,[status(thm)],[])).
% 8.88/6.41 tff(17763,plain,
% 8.88/6.41 (~v26(constB97)),
% 8.88/6.41 inference(unit_resolution,[status(thm)],[17762, 9866])).
% 8.88/6.41 tff(17764,plain,
% 8.88/6.41 ((~(v105(constB97) <=> v26(constB97))) | (~v105(constB97)) | v26(constB97)),
% 8.88/6.41 inference(tautology,[status(thm)],[])).
% 8.88/6.41 tff(17765,plain,
% 8.88/6.41 ((~(v105(constB97) <=> v26(constB97))) | (~v105(constB97))),
% 8.88/6.41 inference(unit_resolution,[status(thm)],[17764, 17763])).
% 8.88/6.41 tff(17766,plain,
% 8.88/6.41 (~v105(constB97)),
% 8.88/6.41 inference(unit_resolution,[status(thm)],[17765, 17761])).
% 8.88/6.41 tff(17767,plain,
% 8.88/6.41 ((~((~v120(constB97)) <=> v105(constB97))) | v120(constB97) | v105(constB97)),
% 8.88/6.41 inference(tautology,[status(thm)],[])).
% 8.88/6.41 tff(17768,plain,
% 8.88/6.41 ((~((~v120(constB97)) <=> v105(constB97))) | v120(constB97)),
% 8.88/6.41 inference(unit_resolution,[status(thm)],[17767, 17766])).
% 8.88/6.41 tff(17769,plain,
% 8.88/6.41 (v120(constB97)),
% 8.88/6.41 inference(unit_resolution,[status(thm)],[17768, 17759])).
% 8.88/6.41 tff(17770,plain,
% 8.88/6.41 ((~((~v107(constB97)) | (~v120(constB97)))) | (~v107(constB97)) | (~v120(constB97))),
% 8.88/6.41 inference(tautology,[status(thm)],[])).
% 8.88/6.41 tff(17771,plain,
% 8.88/6.41 ((~((~v107(constB97)) | (~v120(constB97)))) | (~v107(constB97))),
% 8.88/6.41 inference(unit_resolution,[status(thm)],[17770, 17769])).
% 8.88/6.41 tff(17772,plain,
% 8.88/6.41 (~((~v107(constB97)) | (~v120(constB97)))),
% 8.88/6.41 inference(unit_resolution,[status(thm)],[17771, 17757])).
% 8.88/6.41 tff(17773,plain,
% 8.88/6.41 ((~(v106(constB97) <=> (~((~v107(constB97)) | (~v120(constB97)))))) | v106(constB97) | ((~v107(constB97)) | (~v120(constB97)))),
% 8.88/6.41 inference(tautology,[status(thm)],[])).
% 8.88/6.41 tff(17774,plain,
% 8.88/6.41 (v106(constB97)),
% 8.88/6.41 inference(unit_resolution,[status(thm)],[17773, 17772, 5338])).
% 8.88/6.41 tff(17775,plain,
% 8.88/6.41 ((v105(constB97) | v106(constB97)) | (~v106(constB97))),
% 8.88/6.41 inference(tautology,[status(thm)],[])).
% 8.88/6.41 tff(17776,plain,
% 8.88/6.41 (v105(constB97) | v106(constB97)),
% 8.88/6.41 inference(unit_resolution,[status(thm)],[17775, 17774])).
% 8.88/6.41 tff(17777,plain,
% 8.88/6.41 ((~(v102(constB97) <=> (v105(constB97) | v106(constB97)))) | v102(constB97) | (~(v105(constB97) | v106(constB97)))),
% 8.88/6.41 inference(tautology,[status(thm)],[])).
% 8.88/6.41 tff(17778,plain,
% 8.88/6.41 (v102(constB97)),
% 8.88/6.41 inference(unit_resolution,[status(thm)],[17777, 17776, 5336])).
% 8.88/6.41 tff(17779,plain,
% 8.88/6.41 ((~(v104(constB98) <=> v102(constB97))) | v104(constB98) | (~v102(constB97))),
% 8.88/6.41 inference(tautology,[status(thm)],[])).
% 8.88/6.41 tff(17780,plain,
% 8.88/6.41 (v104(constB98)),
% 8.88/6.41 inference(unit_resolution,[status(thm)],[17779, 17778, 5334])).
% 8.88/6.41 tff(17781,plain,
% 8.88/6.41 ((~((~v104(constB98)) | (~v95(constB98)))) | (~v104(constB98)) | (~v95(constB98))),
% 8.88/6.41 inference(tautology,[status(thm)],[])).
% 8.88/6.41 tff(17782,plain,
% 8.88/6.41 (~((~v104(constB98)) | (~v95(constB98)))),
% 8.88/6.41 inference(unit_resolution,[status(thm)],[17781, 17780, 5330])).
% 8.88/6.41 tff(17783,plain,
% 8.88/6.41 ((~(v94(constB98) <=> (~((~v104(constB98)) | (~v95(constB98)))))) | v94(constB98) | ((~v104(constB98)) | (~v95(constB98)))),
% 8.88/6.41 inference(tautology,[status(thm)],[])).
% 8.88/6.41 tff(17784,plain,
% 8.88/6.41 (v94(constB98)),
% 8.88/6.41 inference(unit_resolution,[status(thm)],[17783, 17782, 5299])).
% 8.88/6.41 tff(17785,plain,
% 8.88/6.41 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB98)) | ![B: $i] : ((~less_3(B)) | (v84(constB98, B) <=> v123(constB98, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB98)) | ![B: $i] : ((~less_3(B)) | (v84(constB98, B) <=> v123(constB98, B))))),
% 8.88/6.41 inference(rewrite,[status(thm)],[])).
% 8.88/6.41 tff(17786,plain,
% 8.88/6.41 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB98)) | ![B: $i] : ((~less_3(B)) | (v84(constB98, B) <=> v123(constB98, B))))),
% 8.88/6.41 inference(quant_inst,[status(thm)],[])).
% 8.88/6.41 tff(17787,plain,
% 8.88/6.41 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB98)) | ![B: $i] : ((~less_3(B)) | (v84(constB98, B) <=> v123(constB98, B)))),
% 8.88/6.41 inference(modus_ponens,[status(thm)],[17786, 17785])).
% 8.88/6.41 tff(17788,plain,
% 8.88/6.41 ((~v94(constB98)) | ![B: $i] : ((~less_3(B)) | (v84(constB98, B) <=> v123(constB98, B)))),
% 8.88/6.41 inference(unit_resolution,[status(thm)],[17787, 9902])).
% 8.88/6.41 tff(17789,plain,
% 8.88/6.41 (![B: $i] : ((~less_3(B)) | (v84(constB98, B) <=> v123(constB98, B)))),
% 8.88/6.41 inference(unit_resolution,[status(thm)],[17788, 17784])).
% 8.88/6.41 tff(17790,plain,
% 8.88/6.41 (((~![B: $i] : ((~less_3(B)) | (v84(constB98, B) <=> v123(constB98, B)))) | ((~less_3(bitIndex2)) | (v84(constB98, bitIndex2) <=> v123(constB98, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB98, B) <=> v123(constB98, B)))) | (~less_3(bitIndex2)) | (v84(constB98, bitIndex2) <=> v123(constB98, bitIndex2)))),
% 8.88/6.41 inference(rewrite,[status(thm)],[])).
% 8.88/6.41 tff(17791,plain,
% 8.88/6.41 ((~![B: $i] : ((~less_3(B)) | (v84(constB98, B) <=> v123(constB98, B)))) | ((~less_3(bitIndex2)) | (v84(constB98, bitIndex2) <=> v123(constB98, bitIndex2)))),
% 8.88/6.41 inference(quant_inst,[status(thm)],[])).
% 8.88/6.41 tff(17792,plain,
% 8.88/6.41 ((~![B: $i] : ((~less_3(B)) | (v84(constB98, B) <=> v123(constB98, B)))) | (~less_3(bitIndex2)) | (v84(constB98, bitIndex2) <=> v123(constB98, bitIndex2))),
% 8.88/6.41 inference(modus_ponens,[status(thm)],[17791, 17790])).
% 8.88/6.41 tff(17793,plain,
% 8.88/6.41 (v84(constB98, bitIndex2) <=> v123(constB98, bitIndex2)),
% 8.88/6.41 inference(unit_resolution,[status(thm)],[17792, 832, 17789])).
% 8.88/6.41 tff(17794,plain,
% 8.88/6.41 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB97, constB98)) | ![B: $i] : ((~less_3(B)) | (v123(constB98, B) <=> v121(constB97, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB97, constB98)) | ![B: $i] : ((~less_3(B)) | (v123(constB98, B) <=> v121(constB97, B))))),
% 8.88/6.41 inference(rewrite,[status(thm)],[])).
% 8.88/6.41 tff(17795,plain,
% 8.88/6.41 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB97, constB98)) | ![B: $i] : ((~less_3(B)) | (v123(constB98, B) <=> v121(constB97, B))))),
% 8.88/6.41 inference(quant_inst,[status(thm)],[])).
% 8.88/6.41 tff(17796,plain,
% 8.88/6.41 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB97, constB98)) | ![B: $i] : ((~less_3(B)) | (v123(constB98, B) <=> v121(constB97, B)))),
% 8.88/6.41 inference(modus_ponens,[status(thm)],[17795, 17794])).
% 8.88/6.41 tff(17797,plain,
% 8.88/6.41 (![B: $i] : ((~less_3(B)) | (v123(constB98, B) <=> v121(constB97, B)))),
% 8.88/6.41 inference(unit_resolution,[status(thm)],[17796, 5295, 9924])).
% 8.88/6.41 tff(17798,plain,
% 8.88/6.41 (((~![B: $i] : ((~less_3(B)) | (v123(constB98, B) <=> v121(constB97, B)))) | ((~less_3(bitIndex2)) | (v123(constB98, bitIndex2) <=> v121(constB97, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB98, B) <=> v121(constB97, B)))) | (~less_3(bitIndex2)) | (v123(constB98, bitIndex2) <=> v121(constB97, bitIndex2)))),
% 8.88/6.41 inference(rewrite,[status(thm)],[])).
% 8.88/6.41 tff(17799,plain,
% 8.88/6.41 ((~![B: $i] : ((~less_3(B)) | (v123(constB98, B) <=> v121(constB97, B)))) | ((~less_3(bitIndex2)) | (v123(constB98, bitIndex2) <=> v121(constB97, bitIndex2)))),
% 8.88/6.41 inference(quant_inst,[status(thm)],[])).
% 8.88/6.41 tff(17800,plain,
% 8.88/6.41 ((~![B: $i] : ((~less_3(B)) | (v123(constB98, B) <=> v121(constB97, B)))) | (~less_3(bitIndex2)) | (v123(constB98, bitIndex2) <=> v121(constB97, bitIndex2))),
% 8.88/6.41 inference(modus_ponens,[status(thm)],[17799, 17798])).
% 8.88/6.41 tff(17801,plain,
% 8.88/6.41 (v123(constB98, bitIndex2) <=> v121(constB97, bitIndex2)),
% 8.88/6.41 inference(unit_resolution,[status(thm)],[17800, 832, 17797])).
% 8.88/6.41 tff(17802,plain,
% 8.88/6.41 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB97) | ![B: $i] : ((~less_3(B)) | (v121(constB97, B) <=> v124(constB97, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB97) | ![B: $i] : ((~less_3(B)) | (v121(constB97, B) <=> v124(constB97, B))))),
% 8.88/6.41 inference(rewrite,[status(thm)],[])).
% 8.88/6.41 tff(17803,plain,
% 8.88/6.41 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB97) | ![B: $i] : ((~less_3(B)) | (v121(constB97, B) <=> v124(constB97, B))))),
% 8.88/6.41 inference(quant_inst,[status(thm)],[])).
% 8.88/6.41 tff(17804,plain,
% 8.88/6.41 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB97) | ![B: $i] : ((~less_3(B)) | (v121(constB97, B) <=> v124(constB97, B)))),
% 8.88/6.41 inference(modus_ponens,[status(thm)],[17803, 17802])).
% 8.88/6.41 tff(17805,plain,
% 8.88/6.41 (![B: $i] : ((~less_3(B)) | (v121(constB97, B) <=> v124(constB97, B)))),
% 8.88/6.41 inference(unit_resolution,[status(thm)],[17804, 9945, 17766])).
% 8.88/6.41 tff(17806,plain,
% 8.88/6.41 (((~![B: $i] : ((~less_3(B)) | (v121(constB97, B) <=> v124(constB97, B)))) | ((~less_3(bitIndex2)) | (v121(constB97, bitIndex2) <=> v124(constB97, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB97, B) <=> v124(constB97, B)))) | (~less_3(bitIndex2)) | (v121(constB97, bitIndex2) <=> v124(constB97, bitIndex2)))),
% 8.88/6.41 inference(rewrite,[status(thm)],[])).
% 8.88/6.41 tff(17807,plain,
% 8.88/6.41 ((~![B: $i] : ((~less_3(B)) | (v121(constB97, B) <=> v124(constB97, B)))) | ((~less_3(bitIndex2)) | (v121(constB97, bitIndex2) <=> v124(constB97, bitIndex2)))),
% 8.88/6.41 inference(quant_inst,[status(thm)],[])).
% 8.88/6.41 tff(17808,plain,
% 8.88/6.41 ((~![B: $i] : ((~less_3(B)) | (v121(constB97, B) <=> v124(constB97, B)))) | (~less_3(bitIndex2)) | (v121(constB97, bitIndex2) <=> v124(constB97, bitIndex2))),
% 8.88/6.41 inference(modus_ponens,[status(thm)],[17807, 17806])).
% 8.88/6.41 tff(17809,plain,
% 8.88/6.41 (v121(constB97, bitIndex2) <=> v124(constB97, bitIndex2)),
% 8.88/6.41 inference(unit_resolution,[status(thm)],[17808, 832, 17805])).
% 8.88/6.41 tff(17810,plain,
% 8.88/6.41 ((~![VarCurr: $i] : (v113(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))))) | (v113(constB97) <=> (~(v84(constB97, bitIndex0) | v84(constB97, bitIndex1) | v84(constB97, bitIndex2))))),
% 8.88/6.41 inference(quant_inst,[status(thm)],[])).
% 8.88/6.41 tff(17811,plain,
% 8.88/6.41 (v113(constB97) <=> (~(v84(constB97, bitIndex0) | v84(constB97, bitIndex1) | v84(constB97, bitIndex2)))),
% 8.88/6.41 inference(unit_resolution,[status(thm)],[17810, 9739])).
% 8.88/6.41 tff(17812,plain,
% 8.88/6.41 ((v84(constB97, bitIndex0) | v84(constB97, bitIndex1) | v84(constB97, bitIndex2)) | (~v84(constB97, bitIndex2))),
% 8.88/6.41 inference(tautology,[status(thm)],[])).
% 8.88/6.41 tff(17813,plain,
% 8.88/6.41 (v84(constB97, bitIndex0) | v84(constB97, bitIndex1) | v84(constB97, bitIndex2)),
% 8.88/6.41 inference(unit_resolution,[status(thm)],[17812, 17687])).
% 8.88/6.41 tff(17814,plain,
% 8.88/6.41 ((~(v113(constB97) <=> (~(v84(constB97, bitIndex0) | v84(constB97, bitIndex1) | v84(constB97, bitIndex2))))) | (~v113(constB97)) | (~(v84(constB97, bitIndex0) | v84(constB97, bitIndex1) | v84(constB97, bitIndex2)))),
% 8.88/6.41 inference(tautology,[status(thm)],[])).
% 8.88/6.41 tff(17815,plain,
% 8.88/6.41 (~v113(constB97)),
% 8.88/6.41 inference(unit_resolution,[status(thm)],[17814, 17813, 17811])).
% 8.88/6.41 tff(17816,plain,
% 8.88/6.41 (((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB97) <=> (~((~v84(constB97, bitIndex2)) | v84(constB97, bitIndex1) | (~v84(constB97, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB97) <=> (~((~v84(constB97, bitIndex2)) | v84(constB97, bitIndex1) | (~v84(constB97, bitIndex0))))))),
% 8.88/6.41 inference(rewrite,[status(thm)],[])).
% 8.88/6.41 tff(17817,plain,
% 8.88/6.41 ((v118(constB97) <=> (~(v84(constB97, bitIndex1) | (~v84(constB97, bitIndex0)) | (~v84(constB97, bitIndex2))))) <=> (v118(constB97) <=> (~((~v84(constB97, bitIndex2)) | v84(constB97, bitIndex1) | (~v84(constB97, bitIndex0)))))),
% 8.88/6.41 inference(rewrite,[status(thm)],[])).
% 8.88/6.41 tff(17818,plain,
% 8.88/6.41 (((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB97) <=> (~(v84(constB97, bitIndex1) | (~v84(constB97, bitIndex0)) | (~v84(constB97, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB97) <=> (~((~v84(constB97, bitIndex2)) | v84(constB97, bitIndex1) | (~v84(constB97, bitIndex0))))))),
% 8.88/6.41 inference(monotonicity,[status(thm)],[17817])).
% 8.88/6.41 tff(17819,plain,
% 8.88/6.41 (((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB97) <=> (~(v84(constB97, bitIndex1) | (~v84(constB97, bitIndex0)) | (~v84(constB97, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB97) <=> (~((~v84(constB97, bitIndex2)) | v84(constB97, bitIndex1) | (~v84(constB97, bitIndex0))))))),
% 8.88/6.41 inference(transitivity,[status(thm)],[17818, 17816])).
% 8.88/6.41 tff(17820,plain,
% 8.88/6.41 ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB97) <=> (~(v84(constB97, bitIndex1) | (~v84(constB97, bitIndex0)) | (~v84(constB97, bitIndex2)))))),
% 8.88/6.41 inference(quant_inst,[status(thm)],[])).
% 8.88/6.41 tff(17821,plain,
% 8.88/6.41 ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB97) <=> (~((~v84(constB97, bitIndex2)) | v84(constB97, bitIndex1) | (~v84(constB97, bitIndex0)))))),
% 8.88/6.41 inference(modus_ponens,[status(thm)],[17820, 17819])).
% 8.88/6.41 tff(17822,plain,
% 8.88/6.41 (v118(constB97) <=> (~((~v84(constB97, bitIndex2)) | v84(constB97, bitIndex1) | (~v84(constB97, bitIndex0))))),
% 8.88/6.41 inference(unit_resolution,[status(thm)],[17821, 960])).
% 8.88/6.41 tff(17823,plain,
% 8.88/6.41 (((~v84(constB97, bitIndex2)) | v84(constB97, bitIndex1) | (~v84(constB97, bitIndex0))) | (~v84(constB97, bitIndex1))),
% 8.88/6.41 inference(tautology,[status(thm)],[])).
% 8.88/6.41 tff(17824,plain,
% 8.88/6.41 ((~v84(constB97, bitIndex2)) | v84(constB97, bitIndex1) | (~v84(constB97, bitIndex0))),
% 8.88/6.41 inference(unit_resolution,[status(thm)],[17823, 17749])).
% 8.88/6.41 tff(17825,plain,
% 8.88/6.41 ((~(v118(constB97) <=> (~((~v84(constB97, bitIndex2)) | v84(constB97, bitIndex1) | (~v84(constB97, bitIndex0)))))) | (~v118(constB97)) | (~((~v84(constB97, bitIndex2)) | v84(constB97, bitIndex1) | (~v84(constB97, bitIndex0))))),
% 8.88/6.41 inference(tautology,[status(thm)],[])).
% 8.88/6.41 tff(17826,plain,
% 8.88/6.41 (~v118(constB97)),
% 8.88/6.41 inference(unit_resolution,[status(thm)],[17825, 17824, 17822])).
% 8.88/6.41 tff(17827,plain,
% 8.88/6.41 (((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB97) <=> (~((~v84(constB97, bitIndex2)) | v84(constB97, bitIndex1) | v84(constB97, bitIndex0))))) <=> ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB97) <=> (~((~v84(constB97, bitIndex2)) | v84(constB97, bitIndex1) | v84(constB97, bitIndex0)))))),
% 8.88/6.41 inference(rewrite,[status(thm)],[])).
% 8.88/6.41 tff(17828,plain,
% 8.88/6.41 ((v117(constB97) <=> (~(v84(constB97, bitIndex0) | v84(constB97, bitIndex1) | (~v84(constB97, bitIndex2))))) <=> (v117(constB97) <=> (~((~v84(constB97, bitIndex2)) | v84(constB97, bitIndex1) | v84(constB97, bitIndex0))))),
% 8.88/6.41 inference(rewrite,[status(thm)],[])).
% 8.88/6.41 tff(17829,plain,
% 8.88/6.41 (((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB97) <=> (~(v84(constB97, bitIndex0) | v84(constB97, bitIndex1) | (~v84(constB97, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB97) <=> (~((~v84(constB97, bitIndex2)) | v84(constB97, bitIndex1) | v84(constB97, bitIndex0)))))),
% 8.88/6.41 inference(monotonicity,[status(thm)],[17828])).
% 8.88/6.41 tff(17830,plain,
% 8.88/6.41 (((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB97) <=> (~(v84(constB97, bitIndex0) | v84(constB97, bitIndex1) | (~v84(constB97, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB97) <=> (~((~v84(constB97, bitIndex2)) | v84(constB97, bitIndex1) | v84(constB97, bitIndex0)))))),
% 8.88/6.41 inference(transitivity,[status(thm)],[17829, 17827])).
% 8.88/6.41 tff(17831,plain,
% 8.88/6.41 ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB97) <=> (~(v84(constB97, bitIndex0) | v84(constB97, bitIndex1) | (~v84(constB97, bitIndex2)))))),
% 8.88/6.41 inference(quant_inst,[status(thm)],[])).
% 8.88/6.41 tff(17832,plain,
% 8.88/6.41 ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB97) <=> (~((~v84(constB97, bitIndex2)) | v84(constB97, bitIndex1) | v84(constB97, bitIndex0))))),
% 8.88/6.41 inference(modus_ponens,[status(thm)],[17831, 17830])).
% 8.88/6.41 tff(17833,plain,
% 8.88/6.41 (v117(constB97) <=> (~((~v84(constB97, bitIndex2)) | v84(constB97, bitIndex1) | v84(constB97, bitIndex0)))),
% 8.88/6.41 inference(unit_resolution,[status(thm)],[17832, 1071])).
% 8.88/6.41 tff(17834,plain,
% 8.88/6.41 (((~v84(constB97, bitIndex2)) | v84(constB97, bitIndex1) | v84(constB97, bitIndex0)) | (~v84(constB97, bitIndex1))),
% 8.88/6.41 inference(tautology,[status(thm)],[])).
% 8.88/6.41 tff(17835,plain,
% 8.88/6.41 ((~v84(constB97, bitIndex2)) | v84(constB97, bitIndex1) | v84(constB97, bitIndex0)),
% 8.88/6.41 inference(unit_resolution,[status(thm)],[17834, 17749])).
% 8.88/6.41 tff(17836,plain,
% 8.88/6.41 ((~(v117(constB97) <=> (~((~v84(constB97, bitIndex2)) | v84(constB97, bitIndex1) | v84(constB97, bitIndex0))))) | (~v117(constB97)) | (~((~v84(constB97, bitIndex2)) | v84(constB97, bitIndex1) | v84(constB97, bitIndex0)))),
% 8.88/6.41 inference(tautology,[status(thm)],[])).
% 8.88/6.41 tff(17837,plain,
% 8.88/6.41 (~v117(constB97)),
% 8.88/6.41 inference(unit_resolution,[status(thm)],[17836, 17835, 17833])).
% 8.88/6.41 tff(17838,plain,
% 8.88/6.41 ((~![VarCurr: $i] : (v116(VarCurr) <=> (~(v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex0)))))) | (v116(constB97) <=> (~(v84(constB97, bitIndex2) | (~v84(constB97, bitIndex1)) | (~v84(constB97, bitIndex0)))))),
% 8.88/6.41 inference(quant_inst,[status(thm)],[])).
% 8.88/6.41 tff(17839,plain,
% 8.88/6.41 (v116(constB97) <=> (~(v84(constB97, bitIndex2) | (~v84(constB97, bitIndex1)) | (~v84(constB97, bitIndex0))))),
% 8.88/6.41 inference(unit_resolution,[status(thm)],[17838, 1184])).
% 8.88/6.41 tff(17840,plain,
% 8.88/6.41 ((v84(constB97, bitIndex2) | (~v84(constB97, bitIndex1)) | (~v84(constB97, bitIndex0))) | (~v84(constB97, bitIndex2))),
% 8.88/6.41 inference(tautology,[status(thm)],[])).
% 8.88/6.41 tff(17841,plain,
% 8.88/6.41 (v84(constB97, bitIndex2) | (~v84(constB97, bitIndex1)) | (~v84(constB97, bitIndex0))),
% 8.88/6.41 inference(unit_resolution,[status(thm)],[17840, 17687])).
% 8.88/6.41 tff(17842,plain,
% 8.88/6.41 ((~(v116(constB97) <=> (~(v84(constB97, bitIndex2) | (~v84(constB97, bitIndex1)) | (~v84(constB97, bitIndex0)))))) | (~v116(constB97)) | (~(v84(constB97, bitIndex2) | (~v84(constB97, bitIndex1)) | (~v84(constB97, bitIndex0))))),
% 8.88/6.41 inference(tautology,[status(thm)],[])).
% 8.88/6.41 tff(17843,plain,
% 8.88/6.41 (~v116(constB97)),
% 8.88/6.41 inference(unit_resolution,[status(thm)],[17842, 17841, 17839])).
% 8.88/6.41 tff(17844,plain,
% 8.88/6.41 (((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB97) <=> (~(v84(constB97, bitIndex2) | (~v84(constB97, bitIndex1)) | v84(constB97, bitIndex0))))) <=> ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB97) <=> (~(v84(constB97, bitIndex2) | (~v84(constB97, bitIndex1)) | v84(constB97, bitIndex0)))))),
% 8.88/6.41 inference(rewrite,[status(thm)],[])).
% 8.88/6.41 tff(17845,plain,
% 8.88/6.41 ((v115(constB97) <=> (~(v84(constB97, bitIndex0) | v84(constB97, bitIndex2) | (~v84(constB97, bitIndex1))))) <=> (v115(constB97) <=> (~(v84(constB97, bitIndex2) | (~v84(constB97, bitIndex1)) | v84(constB97, bitIndex0))))),
% 8.88/6.41 inference(rewrite,[status(thm)],[])).
% 8.88/6.41 tff(17846,plain,
% 8.88/6.41 (((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB97) <=> (~(v84(constB97, bitIndex0) | v84(constB97, bitIndex2) | (~v84(constB97, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB97) <=> (~(v84(constB97, bitIndex2) | (~v84(constB97, bitIndex1)) | v84(constB97, bitIndex0)))))),
% 8.88/6.41 inference(monotonicity,[status(thm)],[17845])).
% 8.88/6.41 tff(17847,plain,
% 8.88/6.41 (((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB97) <=> (~(v84(constB97, bitIndex0) | v84(constB97, bitIndex2) | (~v84(constB97, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB97) <=> (~(v84(constB97, bitIndex2) | (~v84(constB97, bitIndex1)) | v84(constB97, bitIndex0)))))),
% 8.88/6.41 inference(transitivity,[status(thm)],[17846, 17844])).
% 8.88/6.41 tff(17848,plain,
% 8.88/6.41 ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB97) <=> (~(v84(constB97, bitIndex0) | v84(constB97, bitIndex2) | (~v84(constB97, bitIndex1)))))),
% 8.88/6.41 inference(quant_inst,[status(thm)],[])).
% 8.88/6.41 tff(17849,plain,
% 8.88/6.41 ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB97) <=> (~(v84(constB97, bitIndex2) | (~v84(constB97, bitIndex1)) | v84(constB97, bitIndex0))))),
% 8.88/6.41 inference(modus_ponens,[status(thm)],[17848, 17847])).
% 8.88/6.41 tff(17850,plain,
% 8.88/6.41 (v115(constB97) <=> (~(v84(constB97, bitIndex2) | (~v84(constB97, bitIndex1)) | v84(constB97, bitIndex0)))),
% 8.88/6.41 inference(unit_resolution,[status(thm)],[17849, 1294])).
% 8.88/6.41 tff(17851,plain,
% 8.88/6.41 ((v84(constB97, bitIndex2) | (~v84(constB97, bitIndex1)) | v84(constB97, bitIndex0)) | (~v84(constB97, bitIndex2))),
% 8.88/6.41 inference(tautology,[status(thm)],[])).
% 8.88/6.41 tff(17852,plain,
% 8.88/6.41 (v84(constB97, bitIndex2) | (~v84(constB97, bitIndex1)) | v84(constB97, bitIndex0)),
% 8.88/6.41 inference(unit_resolution,[status(thm)],[17851, 17687])).
% 8.88/6.41 tff(17853,plain,
% 8.88/6.41 ((~(v115(constB97) <=> (~(v84(constB97, bitIndex2) | (~v84(constB97, bitIndex1)) | v84(constB97, bitIndex0))))) | (~v115(constB97)) | (~(v84(constB97, bitIndex2) | (~v84(constB97, bitIndex1)) | v84(constB97, bitIndex0)))),
% 8.88/6.41 inference(tautology,[status(thm)],[])).
% 8.88/6.41 tff(17854,plain,
% 8.88/6.41 (~v115(constB97)),
% 8.88/6.41 inference(unit_resolution,[status(thm)],[17853, 17852, 17850])).
% 8.88/6.41 tff(17855,plain,
% 8.88/6.41 (((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB97) <=> (~(v84(constB97, bitIndex2) | v84(constB97, bitIndex1) | (~v84(constB97, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB97) <=> (~(v84(constB97, bitIndex2) | v84(constB97, bitIndex1) | (~v84(constB97, bitIndex0))))))),
% 8.88/6.41 inference(rewrite,[status(thm)],[])).
% 8.88/6.41 tff(17856,plain,
% 8.88/6.41 ((v114(constB97) <=> (~(v84(constB97, bitIndex1) | v84(constB97, bitIndex2) | (~v84(constB97, bitIndex0))))) <=> (v114(constB97) <=> (~(v84(constB97, bitIndex2) | v84(constB97, bitIndex1) | (~v84(constB97, bitIndex0)))))),
% 8.88/6.41 inference(rewrite,[status(thm)],[])).
% 8.88/6.41 tff(17857,plain,
% 8.88/6.41 (((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB97) <=> (~(v84(constB97, bitIndex1) | v84(constB97, bitIndex2) | (~v84(constB97, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB97) <=> (~(v84(constB97, bitIndex2) | v84(constB97, bitIndex1) | (~v84(constB97, bitIndex0))))))),
% 8.88/6.41 inference(monotonicity,[status(thm)],[17856])).
% 8.88/6.41 tff(17858,plain,
% 8.88/6.41 (((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB97) <=> (~(v84(constB97, bitIndex1) | v84(constB97, bitIndex2) | (~v84(constB97, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB97) <=> (~(v84(constB97, bitIndex2) | v84(constB97, bitIndex1) | (~v84(constB97, bitIndex0))))))),
% 8.88/6.41 inference(transitivity,[status(thm)],[17857, 17855])).
% 8.88/6.41 tff(17859,plain,
% 8.88/6.41 ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB97) <=> (~(v84(constB97, bitIndex1) | v84(constB97, bitIndex2) | (~v84(constB97, bitIndex0)))))),
% 8.88/6.41 inference(quant_inst,[status(thm)],[])).
% 8.88/6.41 tff(17860,plain,
% 8.88/6.41 ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB97) <=> (~(v84(constB97, bitIndex2) | v84(constB97, bitIndex1) | (~v84(constB97, bitIndex0)))))),
% 8.88/6.41 inference(modus_ponens,[status(thm)],[17859, 17858])).
% 8.88/6.41 tff(17861,plain,
% 8.88/6.41 (v114(constB97) <=> (~(v84(constB97, bitIndex2) | v84(constB97, bitIndex1) | (~v84(constB97, bitIndex0))))),
% 8.88/6.41 inference(unit_resolution,[status(thm)],[17860, 1411])).
% 8.88/6.41 tff(17862,plain,
% 8.88/6.41 ((v84(constB97, bitIndex2) | v84(constB97, bitIndex1) | (~v84(constB97, bitIndex0))) | (~v84(constB97, bitIndex2))),
% 8.88/6.41 inference(tautology,[status(thm)],[])).
% 8.88/6.41 tff(17863,plain,
% 8.88/6.41 (v84(constB97, bitIndex2) | v84(constB97, bitIndex1) | (~v84(constB97, bitIndex0))),
% 8.88/6.41 inference(unit_resolution,[status(thm)],[17862, 17687])).
% 8.88/6.41 tff(17864,plain,
% 8.88/6.41 ((~(v114(constB97) <=> (~(v84(constB97, bitIndex2) | v84(constB97, bitIndex1) | (~v84(constB97, bitIndex0)))))) | (~v114(constB97)) | (~(v84(constB97, bitIndex2) | v84(constB97, bitIndex1) | (~v84(constB97, bitIndex0))))),
% 8.88/6.41 inference(tautology,[status(thm)],[])).
% 8.88/6.41 tff(17865,plain,
% 8.88/6.41 (~v114(constB97)),
% 8.88/6.41 inference(unit_resolution,[status(thm)],[17864, 17863, 17861])).
% 8.88/6.41 tff(17866,plain,
% 8.88/6.41 (((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | (v113(constB97) | v114(constB97) | v115(constB97) | v116(constB97) | v117(constB97) | v118(constB97) | ![B: $i] : ((~less_3(B)) | (v124(constB97, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | v113(constB97) | v114(constB97) | v115(constB97) | v116(constB97) | v117(constB97) | v118(constB97) | ![B: $i] : ((~less_3(B)) | (v124(constB97, B) <=> b001(B))))),
% 8.88/6.41 inference(rewrite,[status(thm)],[])).
% 8.88/6.41 tff(17867,plain,
% 8.88/6.41 ((v118(constB97) | v117(constB97) | v116(constB97) | v115(constB97) | v114(constB97) | v113(constB97) | ![B: $i] : ((~less_3(B)) | (v124(constB97, B) <=> b001(B)))) <=> (v113(constB97) | v114(constB97) | v115(constB97) | v116(constB97) | v117(constB97) | v118(constB97) | ![B: $i] : ((~less_3(B)) | (v124(constB97, B) <=> b001(B))))),
% 8.88/6.41 inference(rewrite,[status(thm)],[])).
% 8.88/6.41 tff(17868,plain,
% 8.88/6.41 (((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | (v118(constB97) | v117(constB97) | v116(constB97) | v115(constB97) | v114(constB97) | v113(constB97) | ![B: $i] : ((~less_3(B)) | (v124(constB97, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | (v113(constB97) | v114(constB97) | v115(constB97) | v116(constB97) | v117(constB97) | v118(constB97) | ![B: $i] : ((~less_3(B)) | (v124(constB97, B) <=> b001(B)))))),
% 8.88/6.41 inference(monotonicity,[status(thm)],[17867])).
% 8.88/6.41 tff(17869,plain,
% 8.88/6.41 (((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | (v118(constB97) | v117(constB97) | v116(constB97) | v115(constB97) | v114(constB97) | v113(constB97) | ![B: $i] : ((~less_3(B)) | (v124(constB97, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | v113(constB97) | v114(constB97) | v115(constB97) | v116(constB97) | v117(constB97) | v118(constB97) | ![B: $i] : ((~less_3(B)) | (v124(constB97, B) <=> b001(B))))),
% 8.88/6.41 inference(transitivity,[status(thm)],[17868, 17866])).
% 8.88/6.41 tff(17870,plain,
% 8.88/6.41 ((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | (v118(constB97) | v117(constB97) | v116(constB97) | v115(constB97) | v114(constB97) | v113(constB97) | ![B: $i] : ((~less_3(B)) | (v124(constB97, B) <=> b001(B))))),
% 8.88/6.42 inference(quant_inst,[status(thm)],[])).
% 8.88/6.42 tff(17871,plain,
% 8.88/6.42 ((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | v113(constB97) | v114(constB97) | v115(constB97) | v116(constB97) | v117(constB97) | v118(constB97) | ![B: $i] : ((~less_3(B)) | (v124(constB97, B) <=> b001(B)))),
% 8.88/6.42 inference(modus_ponens,[status(thm)],[17870, 17869])).
% 8.88/6.42 tff(17872,plain,
% 8.88/6.42 (v113(constB97) | v114(constB97) | v115(constB97) | v116(constB97) | v117(constB97) | v118(constB97) | ![B: $i] : ((~less_3(B)) | (v124(constB97, B) <=> b001(B)))),
% 8.88/6.42 inference(unit_resolution,[status(thm)],[17871, 11068])).
% 8.88/6.42 tff(17873,plain,
% 8.88/6.42 (![B: $i] : ((~less_3(B)) | (v124(constB97, B) <=> b001(B)))),
% 8.88/6.42 inference(unit_resolution,[status(thm)],[17872, 17865, 17854, 17843, 17837, 17826, 17815])).
% 8.88/6.42 tff(17874,plain,
% 8.88/6.42 (((~![B: $i] : ((~less_3(B)) | (v124(constB97, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v124(constB97, bitIndex2) <=> b001(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB97, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v124(constB97, bitIndex2) <=> b001(bitIndex2)))),
% 8.88/6.42 inference(rewrite,[status(thm)],[])).
% 8.88/6.42 tff(17875,plain,
% 8.88/6.42 ((~![B: $i] : ((~less_3(B)) | (v124(constB97, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v124(constB97, bitIndex2) <=> b001(bitIndex2)))),
% 8.88/6.42 inference(quant_inst,[status(thm)],[])).
% 8.88/6.42 tff(17876,plain,
% 8.88/6.42 ((~![B: $i] : ((~less_3(B)) | (v124(constB97, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v124(constB97, bitIndex2) <=> b001(bitIndex2))),
% 8.88/6.42 inference(modus_ponens,[status(thm)],[17875, 17874])).
% 8.88/6.42 tff(17877,plain,
% 8.88/6.42 (v124(constB97, bitIndex2) <=> b001(bitIndex2)),
% 8.88/6.42 inference(unit_resolution,[status(thm)],[17876, 832, 17873])).
% 8.88/6.42 tff(17878,plain,
% 8.88/6.42 ((~(v124(constB97, bitIndex2) <=> b001(bitIndex2))) | (~v124(constB97, bitIndex2)) | b001(bitIndex2)),
% 8.88/6.42 inference(tautology,[status(thm)],[])).
% 8.88/6.42 tff(17879,plain,
% 8.88/6.42 ((~(v124(constB97, bitIndex2) <=> b001(bitIndex2))) | (~v124(constB97, bitIndex2))),
% 8.88/6.42 inference(unit_resolution,[status(thm)],[17878, 9977])).
% 8.88/6.42 tff(17880,plain,
% 8.88/6.42 (~v124(constB97, bitIndex2)),
% 8.88/6.42 inference(unit_resolution,[status(thm)],[17879, 17877])).
% 8.88/6.42 tff(17881,plain,
% 8.88/6.42 ((~(v121(constB97, bitIndex2) <=> v124(constB97, bitIndex2))) | (~v121(constB97, bitIndex2)) | v124(constB97, bitIndex2)),
% 8.88/6.42 inference(tautology,[status(thm)],[])).
% 8.88/6.42 tff(17882,plain,
% 8.88/6.42 (~v121(constB97, bitIndex2)),
% 8.88/6.42 inference(unit_resolution,[status(thm)],[17881, 17880, 17809])).
% 8.88/6.42 tff(17883,plain,
% 8.88/6.42 ((~(v123(constB98, bitIndex2) <=> v121(constB97, bitIndex2))) | (~v123(constB98, bitIndex2)) | v121(constB97, bitIndex2)),
% 8.88/6.42 inference(tautology,[status(thm)],[])).
% 8.88/6.42 tff(17884,plain,
% 8.88/6.42 (~v123(constB98, bitIndex2)),
% 8.88/6.42 inference(unit_resolution,[status(thm)],[17883, 17882, 17801])).
% 8.88/6.42 tff(17885,plain,
% 8.88/6.42 ((~(v84(constB98, bitIndex2) <=> v123(constB98, bitIndex2))) | (~v84(constB98, bitIndex2)) | v123(constB98, bitIndex2)),
% 8.88/6.42 inference(tautology,[status(thm)],[])).
% 8.88/6.42 tff(17886,plain,
% 8.88/6.42 (~v84(constB98, bitIndex2)),
% 8.88/6.42 inference(unit_resolution,[status(thm)],[17885, 17884, 17793])).
% 8.88/6.42 tff(17887,plain,
% 8.88/6.42 ((~(v84(constB99, bitIndex2) <=> v84(constB98, bitIndex2))) | (~v84(constB99, bitIndex2)) | v84(constB98, bitIndex2)),
% 8.88/6.42 inference(tautology,[status(thm)],[])).
% 8.88/6.42 tff(17888,plain,
% 8.88/6.42 (~v84(constB99, bitIndex2)),
% 8.88/6.42 inference(unit_resolution,[status(thm)],[17887, 17886, 5292])).
% 8.88/6.42 tff(17889,plain,
% 8.88/6.42 (((~![B: $i] : ((~less_3(B)) | (v84(constB99, B) <=> v84(constB98, B)))) | ((~less_3(bitIndex0)) | (v84(constB99, bitIndex0) <=> v84(constB98, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB99, B) <=> v84(constB98, B)))) | (~less_3(bitIndex0)) | (v84(constB99, bitIndex0) <=> v84(constB98, bitIndex0)))),
% 8.88/6.42 inference(rewrite,[status(thm)],[])).
% 8.88/6.42 tff(17890,plain,
% 8.88/6.42 ((~![B: $i] : ((~less_3(B)) | (v84(constB99, B) <=> v84(constB98, B)))) | ((~less_3(bitIndex0)) | (v84(constB99, bitIndex0) <=> v84(constB98, bitIndex0)))),
% 8.88/6.42 inference(quant_inst,[status(thm)],[])).
% 8.88/6.42 tff(17891,plain,
% 8.88/6.42 ((~![B: $i] : ((~less_3(B)) | (v84(constB99, B) <=> v84(constB98, B)))) | (~less_3(bitIndex0)) | (v84(constB99, bitIndex0) <=> v84(constB98, bitIndex0))),
% 8.88/6.42 inference(modus_ponens,[status(thm)],[17890, 17889])).
% 8.88/6.42 tff(17892,plain,
% 8.88/6.42 (v84(constB99, bitIndex0) <=> v84(constB98, bitIndex0)),
% 8.88/6.42 inference(unit_resolution,[status(thm)],[17891, 9772, 5288])).
% 8.88/6.42 tff(17893,plain,
% 8.88/6.42 (((~![B: $i] : ((~less_3(B)) | (v84(constB98, B) <=> v123(constB98, B)))) | ((~less_3(bitIndex0)) | (v84(constB98, bitIndex0) <=> v123(constB98, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB98, B) <=> v123(constB98, B)))) | (~less_3(bitIndex0)) | (v84(constB98, bitIndex0) <=> v123(constB98, bitIndex0)))),
% 8.88/6.42 inference(rewrite,[status(thm)],[])).
% 8.88/6.42 tff(17894,plain,
% 8.88/6.42 ((~![B: $i] : ((~less_3(B)) | (v84(constB98, B) <=> v123(constB98, B)))) | ((~less_3(bitIndex0)) | (v84(constB98, bitIndex0) <=> v123(constB98, bitIndex0)))),
% 8.88/6.42 inference(quant_inst,[status(thm)],[])).
% 8.88/6.42 tff(17895,plain,
% 8.88/6.42 ((~![B: $i] : ((~less_3(B)) | (v84(constB98, B) <=> v123(constB98, B)))) | (~less_3(bitIndex0)) | (v84(constB98, bitIndex0) <=> v123(constB98, bitIndex0))),
% 8.88/6.42 inference(modus_ponens,[status(thm)],[17894, 17893])).
% 8.88/6.42 tff(17896,plain,
% 8.88/6.42 (v84(constB98, bitIndex0) <=> v123(constB98, bitIndex0)),
% 8.88/6.42 inference(unit_resolution,[status(thm)],[17895, 9772, 17789])).
% 8.88/6.42 tff(17897,plain,
% 8.88/6.42 (((~![B: $i] : ((~less_3(B)) | (v123(constB98, B) <=> v121(constB97, B)))) | ((~less_3(bitIndex0)) | (v123(constB98, bitIndex0) <=> v121(constB97, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB98, B) <=> v121(constB97, B)))) | (~less_3(bitIndex0)) | (v123(constB98, bitIndex0) <=> v121(constB97, bitIndex0)))),
% 8.88/6.42 inference(rewrite,[status(thm)],[])).
% 8.88/6.42 tff(17898,plain,
% 8.88/6.42 ((~![B: $i] : ((~less_3(B)) | (v123(constB98, B) <=> v121(constB97, B)))) | ((~less_3(bitIndex0)) | (v123(constB98, bitIndex0) <=> v121(constB97, bitIndex0)))),
% 8.88/6.42 inference(quant_inst,[status(thm)],[])).
% 8.88/6.42 tff(17899,plain,
% 8.88/6.42 ((~![B: $i] : ((~less_3(B)) | (v123(constB98, B) <=> v121(constB97, B)))) | (~less_3(bitIndex0)) | (v123(constB98, bitIndex0) <=> v121(constB97, bitIndex0))),
% 8.88/6.42 inference(modus_ponens,[status(thm)],[17898, 17897])).
% 8.88/6.42 tff(17900,plain,
% 8.88/6.42 (v123(constB98, bitIndex0) <=> v121(constB97, bitIndex0)),
% 8.88/6.42 inference(unit_resolution,[status(thm)],[17899, 9772, 17797])).
% 8.88/6.42 tff(17901,plain,
% 8.88/6.42 (((~![B: $i] : ((~less_3(B)) | (v121(constB97, B) <=> v124(constB97, B)))) | ((~less_3(bitIndex0)) | (v121(constB97, bitIndex0) <=> v124(constB97, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB97, B) <=> v124(constB97, B)))) | (~less_3(bitIndex0)) | (v121(constB97, bitIndex0) <=> v124(constB97, bitIndex0)))),
% 8.88/6.42 inference(rewrite,[status(thm)],[])).
% 8.88/6.42 tff(17902,plain,
% 8.88/6.42 ((~![B: $i] : ((~less_3(B)) | (v121(constB97, B) <=> v124(constB97, B)))) | ((~less_3(bitIndex0)) | (v121(constB97, bitIndex0) <=> v124(constB97, bitIndex0)))),
% 8.88/6.42 inference(quant_inst,[status(thm)],[])).
% 8.88/6.42 tff(17903,plain,
% 8.88/6.42 ((~![B: $i] : ((~less_3(B)) | (v121(constB97, B) <=> v124(constB97, B)))) | (~less_3(bitIndex0)) | (v121(constB97, bitIndex0) <=> v124(constB97, bitIndex0))),
% 8.88/6.42 inference(modus_ponens,[status(thm)],[17902, 17901])).
% 8.88/6.42 tff(17904,plain,
% 8.88/6.42 (v121(constB97, bitIndex0) <=> v124(constB97, bitIndex0)),
% 8.88/6.42 inference(unit_resolution,[status(thm)],[17903, 9772, 17805])).
% 8.88/6.42 tff(17905,plain,
% 8.88/6.42 (((~![B: $i] : ((~less_3(B)) | (v124(constB97, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v124(constB97, bitIndex0) <=> b001(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB97, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v124(constB97, bitIndex0) <=> b001(bitIndex0)))),
% 8.88/6.42 inference(rewrite,[status(thm)],[])).
% 8.88/6.42 tff(17906,plain,
% 8.88/6.42 ((~![B: $i] : ((~less_3(B)) | (v124(constB97, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v124(constB97, bitIndex0) <=> b001(bitIndex0)))),
% 8.88/6.42 inference(quant_inst,[status(thm)],[])).
% 8.88/6.42 tff(17907,plain,
% 8.88/6.42 ((~![B: $i] : ((~less_3(B)) | (v124(constB97, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v124(constB97, bitIndex0) <=> b001(bitIndex0))),
% 8.88/6.42 inference(modus_ponens,[status(thm)],[17906, 17905])).
% 8.88/6.42 tff(17908,plain,
% 8.88/6.42 (v124(constB97, bitIndex0) <=> b001(bitIndex0)),
% 8.88/6.42 inference(unit_resolution,[status(thm)],[17907, 9772, 17873])).
% 8.88/6.42 tff(17909,plain,
% 8.88/6.42 ((~(v124(constB97, bitIndex0) <=> b001(bitIndex0))) | v124(constB97, bitIndex0) | (~b001(bitIndex0))),
% 8.88/6.42 inference(tautology,[status(thm)],[])).
% 8.88/6.42 tff(17910,plain,
% 8.88/6.42 ((~(v124(constB97, bitIndex0) <=> b001(bitIndex0))) | v124(constB97, bitIndex0)),
% 8.88/6.42 inference(unit_resolution,[status(thm)],[17909, 10011])).
% 8.88/6.42 tff(17911,plain,
% 8.88/6.42 (v124(constB97, bitIndex0)),
% 8.88/6.42 inference(unit_resolution,[status(thm)],[17910, 17908])).
% 8.88/6.42 tff(17912,plain,
% 8.88/6.42 ((~(v121(constB97, bitIndex0) <=> v124(constB97, bitIndex0))) | v121(constB97, bitIndex0) | (~v124(constB97, bitIndex0))),
% 8.88/6.42 inference(tautology,[status(thm)],[])).
% 8.88/6.42 tff(17913,plain,
% 8.88/6.42 (v121(constB97, bitIndex0)),
% 8.88/6.42 inference(unit_resolution,[status(thm)],[17912, 17911, 17904])).
% 8.88/6.42 tff(17914,plain,
% 8.88/6.42 ((~(v123(constB98, bitIndex0) <=> v121(constB97, bitIndex0))) | v123(constB98, bitIndex0) | (~v121(constB97, bitIndex0))),
% 8.88/6.42 inference(tautology,[status(thm)],[])).
% 8.88/6.42 tff(17915,plain,
% 8.88/6.42 (v123(constB98, bitIndex0)),
% 8.88/6.42 inference(unit_resolution,[status(thm)],[17914, 17913, 17900])).
% 8.88/6.42 tff(17916,plain,
% 8.88/6.42 ((~(v84(constB98, bitIndex0) <=> v123(constB98, bitIndex0))) | v84(constB98, bitIndex0) | (~v123(constB98, bitIndex0))),
% 8.88/6.42 inference(tautology,[status(thm)],[])).
% 8.88/6.42 tff(17917,plain,
% 8.88/6.42 (v84(constB98, bitIndex0)),
% 8.88/6.42 inference(unit_resolution,[status(thm)],[17916, 17915, 17896])).
% 8.88/6.42 tff(17918,plain,
% 8.88/6.42 ((~(v84(constB99, bitIndex0) <=> v84(constB98, bitIndex0))) | v84(constB99, bitIndex0) | (~v84(constB98, bitIndex0))),
% 8.88/6.42 inference(tautology,[status(thm)],[])).
% 8.88/6.42 tff(17919,plain,
% 8.88/6.42 (v84(constB99, bitIndex0)),
% 8.88/6.42 inference(unit_resolution,[status(thm)],[17918, 17917, 17892])).
% 8.88/6.42 tff(17920,plain,
% 8.88/6.42 (((~![B: $i] : ((~less_3(B)) | (v84(constB99, B) <=> v84(constB98, B)))) | ((~less_3(bitIndex1)) | (v84(constB99, bitIndex1) <=> v84(constB98, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB99, B) <=> v84(constB98, B)))) | (~less_3(bitIndex1)) | (v84(constB99, bitIndex1) <=> v84(constB98, bitIndex1)))),
% 8.88/6.42 inference(rewrite,[status(thm)],[])).
% 8.88/6.42 tff(17921,plain,
% 8.88/6.42 ((~![B: $i] : ((~less_3(B)) | (v84(constB99, B) <=> v84(constB98, B)))) | ((~less_3(bitIndex1)) | (v84(constB99, bitIndex1) <=> v84(constB98, bitIndex1)))),
% 8.88/6.42 inference(quant_inst,[status(thm)],[])).
% 8.88/6.42 tff(17922,plain,
% 8.88/6.42 ((~![B: $i] : ((~less_3(B)) | (v84(constB99, B) <=> v84(constB98, B)))) | (~less_3(bitIndex1)) | (v84(constB99, bitIndex1) <=> v84(constB98, bitIndex1))),
% 8.88/6.42 inference(modus_ponens,[status(thm)],[17921, 17920])).
% 8.88/6.42 tff(17923,plain,
% 8.88/6.42 (v84(constB99, bitIndex1) <=> v84(constB98, bitIndex1)),
% 8.88/6.42 inference(unit_resolution,[status(thm)],[17922, 9785, 5288])).
% 8.88/6.42 tff(17924,plain,
% 8.88/6.42 (((~![B: $i] : ((~less_3(B)) | (v84(constB98, B) <=> v123(constB98, B)))) | ((~less_3(bitIndex1)) | (v84(constB98, bitIndex1) <=> v123(constB98, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB98, B) <=> v123(constB98, B)))) | (~less_3(bitIndex1)) | (v84(constB98, bitIndex1) <=> v123(constB98, bitIndex1)))),
% 8.88/6.42 inference(rewrite,[status(thm)],[])).
% 8.88/6.42 tff(17925,plain,
% 8.88/6.42 ((~![B: $i] : ((~less_3(B)) | (v84(constB98, B) <=> v123(constB98, B)))) | ((~less_3(bitIndex1)) | (v84(constB98, bitIndex1) <=> v123(constB98, bitIndex1)))),
% 8.88/6.42 inference(quant_inst,[status(thm)],[])).
% 8.88/6.42 tff(17926,plain,
% 8.88/6.42 ((~![B: $i] : ((~less_3(B)) | (v84(constB98, B) <=> v123(constB98, B)))) | (~less_3(bitIndex1)) | (v84(constB98, bitIndex1) <=> v123(constB98, bitIndex1))),
% 8.88/6.42 inference(modus_ponens,[status(thm)],[17925, 17924])).
% 8.88/6.42 tff(17927,plain,
% 8.88/6.42 (v84(constB98, bitIndex1) <=> v123(constB98, bitIndex1)),
% 8.88/6.42 inference(unit_resolution,[status(thm)],[17926, 9785, 17789])).
% 8.88/6.42 tff(17928,plain,
% 8.88/6.42 (((~![B: $i] : ((~less_3(B)) | (v123(constB98, B) <=> v121(constB97, B)))) | ((~less_3(bitIndex1)) | (v123(constB98, bitIndex1) <=> v121(constB97, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB98, B) <=> v121(constB97, B)))) | (~less_3(bitIndex1)) | (v123(constB98, bitIndex1) <=> v121(constB97, bitIndex1)))),
% 8.88/6.42 inference(rewrite,[status(thm)],[])).
% 8.88/6.42 tff(17929,plain,
% 8.88/6.42 ((~![B: $i] : ((~less_3(B)) | (v123(constB98, B) <=> v121(constB97, B)))) | ((~less_3(bitIndex1)) | (v123(constB98, bitIndex1) <=> v121(constB97, bitIndex1)))),
% 8.88/6.42 inference(quant_inst,[status(thm)],[])).
% 8.88/6.42 tff(17930,plain,
% 8.88/6.42 ((~![B: $i] : ((~less_3(B)) | (v123(constB98, B) <=> v121(constB97, B)))) | (~less_3(bitIndex1)) | (v123(constB98, bitIndex1) <=> v121(constB97, bitIndex1))),
% 8.88/6.42 inference(modus_ponens,[status(thm)],[17929, 17928])).
% 8.88/6.42 tff(17931,plain,
% 8.88/6.42 (v123(constB98, bitIndex1) <=> v121(constB97, bitIndex1)),
% 8.88/6.42 inference(unit_resolution,[status(thm)],[17930, 9785, 17797])).
% 8.88/6.42 tff(17932,plain,
% 8.88/6.42 (((~![B: $i] : ((~less_3(B)) | (v121(constB97, B) <=> v124(constB97, B)))) | ((~less_3(bitIndex1)) | (v121(constB97, bitIndex1) <=> v124(constB97, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB97, B) <=> v124(constB97, B)))) | (~less_3(bitIndex1)) | (v121(constB97, bitIndex1) <=> v124(constB97, bitIndex1)))),
% 8.88/6.42 inference(rewrite,[status(thm)],[])).
% 8.88/6.42 tff(17933,plain,
% 8.88/6.42 ((~![B: $i] : ((~less_3(B)) | (v121(constB97, B) <=> v124(constB97, B)))) | ((~less_3(bitIndex1)) | (v121(constB97, bitIndex1) <=> v124(constB97, bitIndex1)))),
% 8.88/6.42 inference(quant_inst,[status(thm)],[])).
% 8.88/6.42 tff(17934,plain,
% 8.88/6.42 ((~![B: $i] : ((~less_3(B)) | (v121(constB97, B) <=> v124(constB97, B)))) | (~less_3(bitIndex1)) | (v121(constB97, bitIndex1) <=> v124(constB97, bitIndex1))),
% 8.88/6.42 inference(modus_ponens,[status(thm)],[17933, 17932])).
% 8.88/6.42 tff(17935,plain,
% 8.88/6.42 (v121(constB97, bitIndex1) <=> v124(constB97, bitIndex1)),
% 8.88/6.42 inference(unit_resolution,[status(thm)],[17934, 9785, 17805])).
% 8.88/6.42 tff(17936,plain,
% 8.88/6.42 (((~![B: $i] : ((~less_3(B)) | (v124(constB97, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v124(constB97, bitIndex1) <=> b001(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB97, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v124(constB97, bitIndex1) <=> b001(bitIndex1)))),
% 8.88/6.42 inference(rewrite,[status(thm)],[])).
% 8.88/6.42 tff(17937,plain,
% 8.88/6.42 ((~![B: $i] : ((~less_3(B)) | (v124(constB97, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v124(constB97, bitIndex1) <=> b001(bitIndex1)))),
% 8.88/6.42 inference(quant_inst,[status(thm)],[])).
% 8.88/6.42 tff(17938,plain,
% 8.88/6.42 ((~![B: $i] : ((~less_3(B)) | (v124(constB97, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v124(constB97, bitIndex1) <=> b001(bitIndex1))),
% 8.88/6.42 inference(modus_ponens,[status(thm)],[17937, 17936])).
% 8.88/6.42 tff(17939,plain,
% 8.88/6.42 (v124(constB97, bitIndex1) <=> b001(bitIndex1)),
% 8.88/6.42 inference(unit_resolution,[status(thm)],[17938, 9785, 17873])).
% 8.88/6.42 tff(17940,plain,
% 8.88/6.42 ((~(v124(constB97, bitIndex1) <=> b001(bitIndex1))) | (~v124(constB97, bitIndex1)) | b001(bitIndex1)),
% 8.88/6.42 inference(tautology,[status(thm)],[])).
% 8.88/6.42 tff(17941,plain,
% 8.88/6.42 ((~(v124(constB97, bitIndex1) <=> b001(bitIndex1))) | (~v124(constB97, bitIndex1))),
% 8.88/6.42 inference(unit_resolution,[status(thm)],[17940, 10045])).
% 8.88/6.42 tff(17942,plain,
% 8.88/6.42 (~v124(constB97, bitIndex1)),
% 8.88/6.42 inference(unit_resolution,[status(thm)],[17941, 17939])).
% 8.88/6.42 tff(17943,plain,
% 8.88/6.42 ((~(v121(constB97, bitIndex1) <=> v124(constB97, bitIndex1))) | (~v121(constB97, bitIndex1)) | v124(constB97, bitIndex1)),
% 8.88/6.42 inference(tautology,[status(thm)],[])).
% 8.88/6.42 tff(17944,plain,
% 8.88/6.42 (~v121(constB97, bitIndex1)),
% 8.88/6.42 inference(unit_resolution,[status(thm)],[17943, 17942, 17935])).
% 8.88/6.42 tff(17945,plain,
% 8.88/6.42 ((~(v123(constB98, bitIndex1) <=> v121(constB97, bitIndex1))) | (~v123(constB98, bitIndex1)) | v121(constB97, bitIndex1)),
% 8.88/6.42 inference(tautology,[status(thm)],[])).
% 8.88/6.42 tff(17946,plain,
% 8.88/6.42 (~v123(constB98, bitIndex1)),
% 8.88/6.42 inference(unit_resolution,[status(thm)],[17945, 17944, 17931])).
% 8.88/6.42 tff(17947,plain,
% 8.88/6.42 ((~(v84(constB98, bitIndex1) <=> v123(constB98, bitIndex1))) | (~v84(constB98, bitIndex1)) | v123(constB98, bitIndex1)),
% 8.88/6.42 inference(tautology,[status(thm)],[])).
% 8.88/6.42 tff(17948,plain,
% 8.88/6.42 (~v84(constB98, bitIndex1)),
% 8.88/6.42 inference(unit_resolution,[status(thm)],[17947, 17946, 17927])).
% 8.88/6.42 tff(17949,plain,
% 8.88/6.42 ((~(v84(constB99, bitIndex1) <=> v84(constB98, bitIndex1))) | (~v84(constB99, bitIndex1)) | v84(constB98, bitIndex1)),
% 8.88/6.42 inference(tautology,[status(thm)],[])).
% 8.88/6.42 tff(17950,plain,
% 8.88/6.42 (~v84(constB99, bitIndex1)),
% 8.88/6.42 inference(unit_resolution,[status(thm)],[17949, 17948, 17923])).
% 8.88/6.42 tff(17951,plain,
% 8.88/6.42 ((~(v84(constB99, bitIndex2) | v84(constB99, bitIndex1) | (~v84(constB99, bitIndex0)))) | v84(constB99, bitIndex2) | v84(constB99, bitIndex1) | (~v84(constB99, bitIndex0))),
% 8.88/6.42 inference(tautology,[status(thm)],[])).
% 8.88/6.42 tff(17952,plain,
% 8.88/6.42 (~(v84(constB99, bitIndex2) | v84(constB99, bitIndex1) | (~v84(constB99, bitIndex0)))),
% 8.88/6.42 inference(unit_resolution,[status(thm)],[17951, 17950, 17919, 17888])).
% 8.88/6.42 tff(17953,plain,
% 8.88/6.42 ((~(v114(constB99) <=> (~(v84(constB99, bitIndex2) | v84(constB99, bitIndex1) | (~v84(constB99, bitIndex0)))))) | v114(constB99) | (v84(constB99, bitIndex2) | v84(constB99, bitIndex1) | (~v84(constB99, bitIndex0)))),
% 8.88/6.42 inference(tautology,[status(thm)],[])).
% 8.88/6.42 tff(17954,plain,
% 8.88/6.42 (v114(constB99)),
% 8.88/6.42 inference(unit_resolution,[status(thm)],[17953, 17952, 5260])).
% 8.88/6.42 tff(17955,plain,
% 8.88/6.42 ((v113(constB99) | v114(constB99)) | (~v114(constB99))),
% 8.88/6.42 inference(tautology,[status(thm)],[])).
% 8.88/6.42 tff(17956,plain,
% 8.88/6.42 (v113(constB99) | v114(constB99)),
% 8.88/6.42 inference(unit_resolution,[status(thm)],[17955, 17954])).
% 8.88/6.42 tff(17957,plain,
% 8.88/6.42 ((~(v112(constB99) <=> (v113(constB99) | v114(constB99)))) | v112(constB99) | (~(v113(constB99) | v114(constB99)))),
% 8.88/6.42 inference(tautology,[status(thm)],[])).
% 8.88/6.42 tff(17958,plain,
% 8.88/6.42 (v112(constB99)),
% 8.88/6.42 inference(unit_resolution,[status(thm)],[17957, 17956, 5253])).
% 8.88/6.42 tff(17959,plain,
% 8.88/6.42 ((v112(constB99) | v115(constB99)) | (~v112(constB99))),
% 8.88/6.42 inference(tautology,[status(thm)],[])).
% 8.88/6.42 tff(17960,plain,
% 8.88/6.42 (v112(constB99) | v115(constB99)),
% 8.88/6.42 inference(unit_resolution,[status(thm)],[17959, 17958])).
% 8.88/6.42 tff(17961,plain,
% 8.88/6.42 ((~(v111(constB99) <=> (v112(constB99) | v115(constB99)))) | v111(constB99) | (~(v112(constB99) | v115(constB99)))),
% 8.88/6.42 inference(tautology,[status(thm)],[])).
% 8.88/6.42 tff(17962,plain,
% 8.88/6.42 (v111(constB99)),
% 8.88/6.42 inference(unit_resolution,[status(thm)],[17961, 17960, 5251])).
% 8.88/6.42 tff(17963,plain,
% 8.88/6.42 ((v111(constB99) | v116(constB99)) | (~v111(constB99))),
% 8.88/6.42 inference(tautology,[status(thm)],[])).
% 8.88/6.42 tff(17964,plain,
% 8.88/6.42 (v111(constB99) | v116(constB99)),
% 8.88/6.42 inference(unit_resolution,[status(thm)],[17963, 17962])).
% 8.88/6.42 tff(17965,plain,
% 8.88/6.42 ((~(v110(constB99) <=> (v111(constB99) | v116(constB99)))) | v110(constB99) | (~(v111(constB99) | v116(constB99)))),
% 8.88/6.42 inference(tautology,[status(thm)],[])).
% 8.88/6.42 tff(17966,plain,
% 8.88/6.42 (v110(constB99)),
% 8.88/6.42 inference(unit_resolution,[status(thm)],[17965, 17964, 5249])).
% 8.88/6.42 tff(17967,plain,
% 8.88/6.42 ((v110(constB99) | v117(constB99)) | (~v110(constB99))),
% 8.88/6.42 inference(tautology,[status(thm)],[])).
% 8.88/6.42 tff(17968,plain,
% 8.88/6.42 (v110(constB99) | v117(constB99)),
% 8.88/6.42 inference(unit_resolution,[status(thm)],[17967, 17966])).
% 8.88/6.42 tff(17969,plain,
% 8.88/6.42 ((~(v109(constB99) <=> (v110(constB99) | v117(constB99)))) | v109(constB99) | (~(v110(constB99) | v117(constB99)))),
% 8.88/6.42 inference(tautology,[status(thm)],[])).
% 8.88/6.42 tff(17970,plain,
% 8.88/6.42 (v109(constB99)),
% 8.88/6.42 inference(unit_resolution,[status(thm)],[17969, 17968, 5247])).
% 8.88/6.42 tff(17971,plain,
% 8.88/6.42 ((v109(constB99) | v118(constB99)) | (~v109(constB99))),
% 8.88/6.42 inference(tautology,[status(thm)],[])).
% 8.88/6.42 tff(17972,plain,
% 8.88/6.42 (v109(constB99) | v118(constB99)),
% 8.88/6.42 inference(unit_resolution,[status(thm)],[17971, 17970])).
% 8.88/6.42 tff(17973,plain,
% 8.88/6.42 ((~(v108(constB99) <=> (v109(constB99) | v118(constB99)))) | v108(constB99) | (~(v109(constB99) | v118(constB99)))),
% 8.88/6.42 inference(tautology,[status(thm)],[])).
% 8.88/6.42 tff(17974,plain,
% 8.88/6.42 (v108(constB99)),
% 8.88/6.42 inference(unit_resolution,[status(thm)],[17973, 17972, 5245])).
% 8.88/6.42 tff(17975,plain,
% 8.88/6.42 ((v108(constB99) | v119(constB99)) | (~v108(constB99))),
% 8.88/6.42 inference(tautology,[status(thm)],[])).
% 8.88/6.42 tff(17976,plain,
% 8.88/6.42 (v108(constB99) | v119(constB99)),
% 8.88/6.42 inference(unit_resolution,[status(thm)],[17975, 17974])).
% 8.88/6.42 tff(17977,plain,
% 8.88/6.42 ((~(v107(constB99) <=> (v108(constB99) | v119(constB99)))) | v107(constB99) | (~(v108(constB99) | v119(constB99)))),
% 8.88/6.42 inference(tautology,[status(thm)],[])).
% 8.88/6.42 tff(17978,plain,
% 8.88/6.42 (v107(constB99)),
% 8.88/6.42 inference(unit_resolution,[status(thm)],[17977, 17976, 5243])).
% 8.88/6.42 tff(17979,plain,
% 8.88/6.42 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB99)) <=> v105(constB99))),
% 8.88/6.42 inference(quant_inst,[status(thm)],[])).
% 8.88/6.42 tff(17980,plain,
% 8.88/6.42 ((~v120(constB99)) <=> v105(constB99)),
% 8.88/6.42 inference(unit_resolution,[status(thm)],[17979, 9842])).
% 8.88/6.42 tff(17981,plain,
% 8.88/6.42 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB99) <=> v26(constB99))),
% 8.88/6.42 inference(quant_inst,[status(thm)],[])).
% 8.88/6.42 tff(17982,plain,
% 8.88/6.42 (v105(constB99) <=> v26(constB99)),
% 8.88/6.42 inference(unit_resolution,[status(thm)],[17981, 9854])).
% 8.88/6.42 tff(17983,plain,
% 8.88/6.42 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB99))),
% 8.88/6.42 inference(quant_inst,[status(thm)],[])).
% 8.88/6.42 tff(17984,plain,
% 8.88/6.42 (~v26(constB99)),
% 8.88/6.42 inference(unit_resolution,[status(thm)],[17983, 9866])).
% 8.88/6.42 tff(17985,plain,
% 8.88/6.42 ((~(v105(constB99) <=> v26(constB99))) | (~v105(constB99)) | v26(constB99)),
% 8.88/6.42 inference(tautology,[status(thm)],[])).
% 8.88/6.42 tff(17986,plain,
% 8.88/6.42 ((~(v105(constB99) <=> v26(constB99))) | (~v105(constB99))),
% 8.88/6.42 inference(unit_resolution,[status(thm)],[17985, 17984])).
% 8.88/6.42 tff(17987,plain,
% 8.88/6.42 (~v105(constB99)),
% 8.88/6.42 inference(unit_resolution,[status(thm)],[17986, 17982])).
% 8.88/6.42 tff(17988,plain,
% 8.88/6.42 ((~((~v120(constB99)) <=> v105(constB99))) | v120(constB99) | v105(constB99)),
% 8.88/6.42 inference(tautology,[status(thm)],[])).
% 8.88/6.42 tff(17989,plain,
% 8.88/6.42 ((~((~v120(constB99)) <=> v105(constB99))) | v120(constB99)),
% 8.88/6.42 inference(unit_resolution,[status(thm)],[17988, 17987])).
% 8.88/6.42 tff(17990,plain,
% 8.88/6.42 (v120(constB99)),
% 8.88/6.42 inference(unit_resolution,[status(thm)],[17989, 17980])).
% 8.88/6.42 tff(17991,plain,
% 8.88/6.42 ((~((~v107(constB99)) | (~v120(constB99)))) | (~v107(constB99)) | (~v120(constB99))),
% 8.88/6.42 inference(tautology,[status(thm)],[])).
% 8.88/6.42 tff(17992,plain,
% 8.88/6.42 ((~((~v107(constB99)) | (~v120(constB99)))) | (~v107(constB99))),
% 8.88/6.42 inference(unit_resolution,[status(thm)],[17991, 17990])).
% 8.88/6.42 tff(17993,plain,
% 8.88/6.42 (~((~v107(constB99)) | (~v120(constB99)))),
% 8.88/6.42 inference(unit_resolution,[status(thm)],[17992, 17978])).
% 8.88/6.42 tff(17994,plain,
% 8.88/6.42 ((~(v106(constB99) <=> (~((~v107(constB99)) | (~v120(constB99)))))) | v106(constB99) | ((~v107(constB99)) | (~v120(constB99)))),
% 8.88/6.42 inference(tautology,[status(thm)],[])).
% 8.88/6.42 tff(17995,plain,
% 8.88/6.42 (v106(constB99)),
% 8.88/6.42 inference(unit_resolution,[status(thm)],[17994, 17993, 5241])).
% 8.88/6.42 tff(17996,plain,
% 8.88/6.42 ((v105(constB99) | v106(constB99)) | (~v106(constB99))),
% 8.88/6.42 inference(tautology,[status(thm)],[])).
% 8.88/6.42 tff(17997,plain,
% 8.88/6.42 (v105(constB99) | v106(constB99)),
% 8.88/6.42 inference(unit_resolution,[status(thm)],[17996, 17995])).
% 8.88/6.42 tff(17998,plain,
% 8.88/6.42 ((~(v102(constB99) <=> (v105(constB99) | v106(constB99)))) | v102(constB99) | (~(v105(constB99) | v106(constB99)))),
% 8.88/6.42 inference(tautology,[status(thm)],[])).
% 8.88/6.42 tff(17999,plain,
% 8.88/6.42 (v102(constB99)),
% 8.88/6.42 inference(unit_resolution,[status(thm)],[17998, 17997, 5239])).
% 8.88/6.42 tff(18000,plain,
% 8.88/6.42 ((~(v104(constB100) <=> v102(constB99))) | v104(constB100) | (~v102(constB99))),
% 8.88/6.42 inference(tautology,[status(thm)],[])).
% 8.88/6.42 tff(18001,plain,
% 8.88/6.42 (v104(constB100)),
% 8.88/6.42 inference(unit_resolution,[status(thm)],[18000, 17999, 5237])).
% 8.88/6.42 tff(18002,plain,
% 8.88/6.42 ((~((~v104(constB100)) | (~v95(constB100)))) | (~v104(constB100)) | (~v95(constB100))),
% 8.88/6.42 inference(tautology,[status(thm)],[])).
% 8.88/6.42 tff(18003,plain,
% 8.88/6.42 (~((~v104(constB100)) | (~v95(constB100)))),
% 8.88/6.42 inference(unit_resolution,[status(thm)],[18002, 18001, 5233])).
% 8.88/6.42 tff(18004,plain,
% 8.88/6.42 ((~(v94(constB100) <=> (~((~v104(constB100)) | (~v95(constB100)))))) | v94(constB100) | ((~v104(constB100)) | (~v95(constB100)))),
% 8.88/6.42 inference(tautology,[status(thm)],[])).
% 8.88/6.42 tff(18005,plain,
% 8.88/6.42 (v94(constB100)),
% 8.88/6.42 inference(unit_resolution,[status(thm)],[18004, 18003, 5202])).
% 8.88/6.42 tff(18006,plain,
% 8.88/6.42 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB100)) | ![B: $i] : ((~less_3(B)) | (v84(constB100, B) <=> v123(constB100, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB100)) | ![B: $i] : ((~less_3(B)) | (v84(constB100, B) <=> v123(constB100, B))))),
% 8.88/6.42 inference(rewrite,[status(thm)],[])).
% 8.88/6.42 tff(18007,plain,
% 8.88/6.42 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB100)) | ![B: $i] : ((~less_3(B)) | (v84(constB100, B) <=> v123(constB100, B))))),
% 8.88/6.42 inference(quant_inst,[status(thm)],[])).
% 8.88/6.42 tff(18008,plain,
% 8.88/6.42 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB100)) | ![B: $i] : ((~less_3(B)) | (v84(constB100, B) <=> v123(constB100, B)))),
% 8.88/6.42 inference(modus_ponens,[status(thm)],[18007, 18006])).
% 8.88/6.42 tff(18009,plain,
% 8.88/6.42 ((~v94(constB100)) | ![B: $i] : ((~less_3(B)) | (v84(constB100, B) <=> v123(constB100, B)))),
% 8.88/6.42 inference(unit_resolution,[status(thm)],[18008, 9902])).
% 8.88/6.42 tff(18010,plain,
% 8.88/6.42 (![B: $i] : ((~less_3(B)) | (v84(constB100, B) <=> v123(constB100, B)))),
% 8.88/6.42 inference(unit_resolution,[status(thm)],[18009, 18005])).
% 8.88/6.42 tff(18011,plain,
% 8.88/6.42 (((~![B: $i] : ((~less_3(B)) | (v84(constB100, B) <=> v123(constB100, B)))) | ((~less_3(bitIndex2)) | (v84(constB100, bitIndex2) <=> v123(constB100, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB100, B) <=> v123(constB100, B)))) | (~less_3(bitIndex2)) | (v84(constB100, bitIndex2) <=> v123(constB100, bitIndex2)))),
% 8.88/6.42 inference(rewrite,[status(thm)],[])).
% 8.88/6.42 tff(18012,plain,
% 8.88/6.42 ((~![B: $i] : ((~less_3(B)) | (v84(constB100, B) <=> v123(constB100, B)))) | ((~less_3(bitIndex2)) | (v84(constB100, bitIndex2) <=> v123(constB100, bitIndex2)))),
% 8.88/6.42 inference(quant_inst,[status(thm)],[])).
% 8.88/6.42 tff(18013,plain,
% 8.88/6.42 ((~![B: $i] : ((~less_3(B)) | (v84(constB100, B) <=> v123(constB100, B)))) | (~less_3(bitIndex2)) | (v84(constB100, bitIndex2) <=> v123(constB100, bitIndex2))),
% 8.88/6.42 inference(modus_ponens,[status(thm)],[18012, 18011])).
% 8.88/6.42 tff(18014,plain,
% 8.88/6.42 (v84(constB100, bitIndex2) <=> v123(constB100, bitIndex2)),
% 8.88/6.42 inference(unit_resolution,[status(thm)],[18013, 832, 18010])).
% 8.88/6.42 tff(18015,plain,
% 8.88/6.42 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB99, constB100)) | ![B: $i] : ((~less_3(B)) | (v123(constB100, B) <=> v121(constB99, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB99, constB100)) | ![B: $i] : ((~less_3(B)) | (v123(constB100, B) <=> v121(constB99, B))))),
% 8.88/6.42 inference(rewrite,[status(thm)],[])).
% 8.88/6.42 tff(18016,plain,
% 8.88/6.42 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB99, constB100)) | ![B: $i] : ((~less_3(B)) | (v123(constB100, B) <=> v121(constB99, B))))),
% 8.88/6.42 inference(quant_inst,[status(thm)],[])).
% 8.88/6.42 tff(18017,plain,
% 8.88/6.42 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB99, constB100)) | ![B: $i] : ((~less_3(B)) | (v123(constB100, B) <=> v121(constB99, B)))),
% 8.88/6.42 inference(modus_ponens,[status(thm)],[18016, 18015])).
% 8.88/6.42 tff(18018,plain,
% 8.88/6.42 (![B: $i] : ((~less_3(B)) | (v123(constB100, B) <=> v121(constB99, B)))),
% 8.88/6.42 inference(unit_resolution,[status(thm)],[18017, 5198, 9924])).
% 8.88/6.42 tff(18019,plain,
% 8.88/6.42 (((~![B: $i] : ((~less_3(B)) | (v123(constB100, B) <=> v121(constB99, B)))) | ((~less_3(bitIndex2)) | (v123(constB100, bitIndex2) <=> v121(constB99, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB100, B) <=> v121(constB99, B)))) | (~less_3(bitIndex2)) | (v123(constB100, bitIndex2) <=> v121(constB99, bitIndex2)))),
% 8.88/6.42 inference(rewrite,[status(thm)],[])).
% 8.88/6.42 tff(18020,plain,
% 8.88/6.42 ((~![B: $i] : ((~less_3(B)) | (v123(constB100, B) <=> v121(constB99, B)))) | ((~less_3(bitIndex2)) | (v123(constB100, bitIndex2) <=> v121(constB99, bitIndex2)))),
% 8.88/6.42 inference(quant_inst,[status(thm)],[])).
% 8.88/6.42 tff(18021,plain,
% 8.88/6.42 ((~![B: $i] : ((~less_3(B)) | (v123(constB100, B) <=> v121(constB99, B)))) | (~less_3(bitIndex2)) | (v123(constB100, bitIndex2) <=> v121(constB99, bitIndex2))),
% 8.88/6.42 inference(modus_ponens,[status(thm)],[18020, 18019])).
% 8.88/6.42 tff(18022,plain,
% 8.88/6.42 (v123(constB100, bitIndex2) <=> v121(constB99, bitIndex2)),
% 8.88/6.42 inference(unit_resolution,[status(thm)],[18021, 832, 18018])).
% 8.88/6.42 tff(18023,plain,
% 8.88/6.42 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB99) | ![B: $i] : ((~less_3(B)) | (v121(constB99, B) <=> v124(constB99, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB99) | ![B: $i] : ((~less_3(B)) | (v121(constB99, B) <=> v124(constB99, B))))),
% 8.88/6.42 inference(rewrite,[status(thm)],[])).
% 8.88/6.42 tff(18024,plain,
% 8.88/6.42 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB99) | ![B: $i] : ((~less_3(B)) | (v121(constB99, B) <=> v124(constB99, B))))),
% 8.88/6.42 inference(quant_inst,[status(thm)],[])).
% 8.88/6.42 tff(18025,plain,
% 8.88/6.42 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB99) | ![B: $i] : ((~less_3(B)) | (v121(constB99, B) <=> v124(constB99, B)))),
% 8.88/6.42 inference(modus_ponens,[status(thm)],[18024, 18023])).
% 8.88/6.42 tff(18026,plain,
% 8.88/6.42 (![B: $i] : ((~less_3(B)) | (v121(constB99, B) <=> v124(constB99, B)))),
% 8.88/6.42 inference(unit_resolution,[status(thm)],[18025, 9945, 17987])).
% 8.88/6.42 tff(18027,plain,
% 8.88/6.42 (((~![B: $i] : ((~less_3(B)) | (v121(constB99, B) <=> v124(constB99, B)))) | ((~less_3(bitIndex2)) | (v121(constB99, bitIndex2) <=> v124(constB99, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB99, B) <=> v124(constB99, B)))) | (~less_3(bitIndex2)) | (v121(constB99, bitIndex2) <=> v124(constB99, bitIndex2)))),
% 8.88/6.42 inference(rewrite,[status(thm)],[])).
% 8.88/6.42 tff(18028,plain,
% 8.88/6.42 ((~![B: $i] : ((~less_3(B)) | (v121(constB99, B) <=> v124(constB99, B)))) | ((~less_3(bitIndex2)) | (v121(constB99, bitIndex2) <=> v124(constB99, bitIndex2)))),
% 8.88/6.42 inference(quant_inst,[status(thm)],[])).
% 8.88/6.42 tff(18029,plain,
% 8.88/6.42 ((~![B: $i] : ((~less_3(B)) | (v121(constB99, B) <=> v124(constB99, B)))) | (~less_3(bitIndex2)) | (v121(constB99, bitIndex2) <=> v124(constB99, bitIndex2))),
% 8.88/6.42 inference(modus_ponens,[status(thm)],[18028, 18027])).
% 8.88/6.42 tff(18030,plain,
% 8.88/6.42 (v121(constB99, bitIndex2) <=> v124(constB99, bitIndex2)),
% 8.88/6.42 inference(unit_resolution,[status(thm)],[18029, 832, 18026])).
% 8.88/6.42 tff(18031,plain,
% 8.88/6.42 (((~![VarCurr: $i] : ((~v114(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b010(B))))) | ((~v114(constB99)) | ![B: $i] : ((~less_3(B)) | (v124(constB99, B) <=> b010(B))))) <=> ((~![VarCurr: $i] : ((~v114(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b010(B))))) | (~v114(constB99)) | ![B: $i] : ((~less_3(B)) | (v124(constB99, B) <=> b010(B))))),
% 8.88/6.42 inference(rewrite,[status(thm)],[])).
% 8.88/6.42 tff(18032,plain,
% 8.88/6.42 ((~![VarCurr: $i] : ((~v114(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b010(B))))) | ((~v114(constB99)) | ![B: $i] : ((~less_3(B)) | (v124(constB99, B) <=> b010(B))))),
% 8.88/6.42 inference(quant_inst,[status(thm)],[])).
% 8.88/6.42 tff(18033,plain,
% 8.88/6.42 ((~![VarCurr: $i] : ((~v114(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b010(B))))) | (~v114(constB99)) | ![B: $i] : ((~less_3(B)) | (v124(constB99, B) <=> b010(B)))),
% 8.88/6.42 inference(modus_ponens,[status(thm)],[18032, 18031])).
% 8.88/6.42 tff(18034,plain,
% 8.88/6.42 ((~v114(constB99)) | ![B: $i] : ((~less_3(B)) | (v124(constB99, B) <=> b010(B)))),
% 8.88/6.42 inference(unit_resolution,[status(thm)],[18033, 10149])).
% 8.88/6.42 tff(18035,plain,
% 8.88/6.42 (![B: $i] : ((~less_3(B)) | (v124(constB99, B) <=> b010(B)))),
% 8.88/6.42 inference(unit_resolution,[status(thm)],[18034, 17954])).
% 8.88/6.42 tff(18036,plain,
% 8.88/6.43 (((~![B: $i] : ((~less_3(B)) | (v124(constB99, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v124(constB99, bitIndex2) <=> b010(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB99, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v124(constB99, bitIndex2) <=> b010(bitIndex2)))),
% 8.88/6.43 inference(rewrite,[status(thm)],[])).
% 8.88/6.43 tff(18037,plain,
% 8.88/6.43 ((~![B: $i] : ((~less_3(B)) | (v124(constB99, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v124(constB99, bitIndex2) <=> b010(bitIndex2)))),
% 8.88/6.43 inference(quant_inst,[status(thm)],[])).
% 8.88/6.43 tff(18038,plain,
% 8.88/6.43 ((~![B: $i] : ((~less_3(B)) | (v124(constB99, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v124(constB99, bitIndex2) <=> b010(bitIndex2))),
% 8.88/6.43 inference(modus_ponens,[status(thm)],[18037, 18036])).
% 8.88/6.43 tff(18039,plain,
% 8.88/6.43 (v124(constB99, bitIndex2) <=> b010(bitIndex2)),
% 8.88/6.43 inference(unit_resolution,[status(thm)],[18038, 832, 18035])).
% 8.88/6.43 tff(18040,plain,
% 8.88/6.43 ((~(v124(constB99, bitIndex2) <=> b010(bitIndex2))) | (~v124(constB99, bitIndex2)) | b010(bitIndex2)),
% 8.88/6.43 inference(tautology,[status(thm)],[])).
% 8.88/6.43 tff(18041,plain,
% 8.88/6.43 ((~(v124(constB99, bitIndex2) <=> b010(bitIndex2))) | (~v124(constB99, bitIndex2))),
% 8.88/6.43 inference(unit_resolution,[status(thm)],[18040, 10161])).
% 8.88/6.43 tff(18042,plain,
% 8.88/6.43 (~v124(constB99, bitIndex2)),
% 8.88/6.43 inference(unit_resolution,[status(thm)],[18041, 18039])).
% 8.88/6.43 tff(18043,plain,
% 8.88/6.43 ((~(v121(constB99, bitIndex2) <=> v124(constB99, bitIndex2))) | (~v121(constB99, bitIndex2)) | v124(constB99, bitIndex2)),
% 8.88/6.43 inference(tautology,[status(thm)],[])).
% 8.88/6.43 tff(18044,plain,
% 8.88/6.43 (~v121(constB99, bitIndex2)),
% 8.88/6.43 inference(unit_resolution,[status(thm)],[18043, 18042, 18030])).
% 8.88/6.43 tff(18045,plain,
% 8.88/6.43 ((~(v123(constB100, bitIndex2) <=> v121(constB99, bitIndex2))) | (~v123(constB100, bitIndex2)) | v121(constB99, bitIndex2)),
% 8.88/6.43 inference(tautology,[status(thm)],[])).
% 8.88/6.43 tff(18046,plain,
% 8.88/6.43 (~v123(constB100, bitIndex2)),
% 8.88/6.43 inference(unit_resolution,[status(thm)],[18045, 18044, 18022])).
% 8.88/6.43 tff(18047,plain,
% 8.88/6.43 ((~(v84(constB100, bitIndex2) <=> v123(constB100, bitIndex2))) | (~v84(constB100, bitIndex2)) | v123(constB100, bitIndex2)),
% 8.88/6.43 inference(tautology,[status(thm)],[])).
% 8.88/6.43 tff(18048,plain,
% 8.88/6.43 (~v84(constB100, bitIndex2)),
% 8.88/6.43 inference(unit_resolution,[status(thm)],[18047, 18046, 18014])).
% 8.88/6.43 tff(18049,plain,
% 8.88/6.43 ((~(v84(constB101, bitIndex2) <=> v84(constB100, bitIndex2))) | (~v84(constB101, bitIndex2)) | v84(constB100, bitIndex2)),
% 8.88/6.43 inference(tautology,[status(thm)],[])).
% 8.88/6.43 tff(18050,plain,
% 8.88/6.43 (~v84(constB101, bitIndex2)),
% 8.88/6.43 inference(unit_resolution,[status(thm)],[18049, 18048, 5195])).
% 8.88/6.43 tff(18051,plain,
% 8.88/6.43 (((~![B: $i] : ((~less_3(B)) | (v84(constB101, B) <=> v84(constB100, B)))) | ((~less_3(bitIndex0)) | (v84(constB101, bitIndex0) <=> v84(constB100, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB101, B) <=> v84(constB100, B)))) | (~less_3(bitIndex0)) | (v84(constB101, bitIndex0) <=> v84(constB100, bitIndex0)))),
% 8.88/6.43 inference(rewrite,[status(thm)],[])).
% 8.88/6.43 tff(18052,plain,
% 8.88/6.43 ((~![B: $i] : ((~less_3(B)) | (v84(constB101, B) <=> v84(constB100, B)))) | ((~less_3(bitIndex0)) | (v84(constB101, bitIndex0) <=> v84(constB100, bitIndex0)))),
% 8.88/6.43 inference(quant_inst,[status(thm)],[])).
% 8.88/6.43 tff(18053,plain,
% 8.88/6.43 ((~![B: $i] : ((~less_3(B)) | (v84(constB101, B) <=> v84(constB100, B)))) | (~less_3(bitIndex0)) | (v84(constB101, bitIndex0) <=> v84(constB100, bitIndex0))),
% 8.88/6.43 inference(modus_ponens,[status(thm)],[18052, 18051])).
% 8.88/6.43 tff(18054,plain,
% 8.88/6.43 (v84(constB101, bitIndex0) <=> v84(constB100, bitIndex0)),
% 8.88/6.43 inference(unit_resolution,[status(thm)],[18053, 9772, 5191])).
% 8.88/6.43 tff(18055,plain,
% 8.88/6.43 (((~![B: $i] : ((~less_3(B)) | (v84(constB100, B) <=> v123(constB100, B)))) | ((~less_3(bitIndex0)) | (v84(constB100, bitIndex0) <=> v123(constB100, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB100, B) <=> v123(constB100, B)))) | (~less_3(bitIndex0)) | (v84(constB100, bitIndex0) <=> v123(constB100, bitIndex0)))),
% 8.88/6.43 inference(rewrite,[status(thm)],[])).
% 8.88/6.43 tff(18056,plain,
% 8.88/6.43 ((~![B: $i] : ((~less_3(B)) | (v84(constB100, B) <=> v123(constB100, B)))) | ((~less_3(bitIndex0)) | (v84(constB100, bitIndex0) <=> v123(constB100, bitIndex0)))),
% 8.88/6.43 inference(quant_inst,[status(thm)],[])).
% 8.88/6.43 tff(18057,plain,
% 8.88/6.43 ((~![B: $i] : ((~less_3(B)) | (v84(constB100, B) <=> v123(constB100, B)))) | (~less_3(bitIndex0)) | (v84(constB100, bitIndex0) <=> v123(constB100, bitIndex0))),
% 8.88/6.43 inference(modus_ponens,[status(thm)],[18056, 18055])).
% 8.88/6.43 tff(18058,plain,
% 8.88/6.43 (v84(constB100, bitIndex0) <=> v123(constB100, bitIndex0)),
% 8.88/6.43 inference(unit_resolution,[status(thm)],[18057, 9772, 18010])).
% 8.88/6.43 tff(18059,plain,
% 8.88/6.43 (((~![B: $i] : ((~less_3(B)) | (v123(constB100, B) <=> v121(constB99, B)))) | ((~less_3(bitIndex0)) | (v123(constB100, bitIndex0) <=> v121(constB99, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB100, B) <=> v121(constB99, B)))) | (~less_3(bitIndex0)) | (v123(constB100, bitIndex0) <=> v121(constB99, bitIndex0)))),
% 8.88/6.43 inference(rewrite,[status(thm)],[])).
% 8.88/6.43 tff(18060,plain,
% 8.88/6.43 ((~![B: $i] : ((~less_3(B)) | (v123(constB100, B) <=> v121(constB99, B)))) | ((~less_3(bitIndex0)) | (v123(constB100, bitIndex0) <=> v121(constB99, bitIndex0)))),
% 8.88/6.43 inference(quant_inst,[status(thm)],[])).
% 8.88/6.43 tff(18061,plain,
% 8.88/6.43 ((~![B: $i] : ((~less_3(B)) | (v123(constB100, B) <=> v121(constB99, B)))) | (~less_3(bitIndex0)) | (v123(constB100, bitIndex0) <=> v121(constB99, bitIndex0))),
% 8.88/6.43 inference(modus_ponens,[status(thm)],[18060, 18059])).
% 8.88/6.43 tff(18062,plain,
% 8.88/6.43 (v123(constB100, bitIndex0) <=> v121(constB99, bitIndex0)),
% 8.88/6.43 inference(unit_resolution,[status(thm)],[18061, 9772, 18018])).
% 8.88/6.43 tff(18063,plain,
% 8.88/6.43 (((~![B: $i] : ((~less_3(B)) | (v121(constB99, B) <=> v124(constB99, B)))) | ((~less_3(bitIndex0)) | (v121(constB99, bitIndex0) <=> v124(constB99, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB99, B) <=> v124(constB99, B)))) | (~less_3(bitIndex0)) | (v121(constB99, bitIndex0) <=> v124(constB99, bitIndex0)))),
% 8.88/6.43 inference(rewrite,[status(thm)],[])).
% 8.88/6.43 tff(18064,plain,
% 8.88/6.43 ((~![B: $i] : ((~less_3(B)) | (v121(constB99, B) <=> v124(constB99, B)))) | ((~less_3(bitIndex0)) | (v121(constB99, bitIndex0) <=> v124(constB99, bitIndex0)))),
% 8.88/6.43 inference(quant_inst,[status(thm)],[])).
% 8.88/6.43 tff(18065,plain,
% 8.88/6.43 ((~![B: $i] : ((~less_3(B)) | (v121(constB99, B) <=> v124(constB99, B)))) | (~less_3(bitIndex0)) | (v121(constB99, bitIndex0) <=> v124(constB99, bitIndex0))),
% 8.88/6.43 inference(modus_ponens,[status(thm)],[18064, 18063])).
% 8.88/6.43 tff(18066,plain,
% 8.88/6.43 (v121(constB99, bitIndex0) <=> v124(constB99, bitIndex0)),
% 8.88/6.43 inference(unit_resolution,[status(thm)],[18065, 9772, 18026])).
% 8.88/6.43 tff(18067,plain,
% 8.88/6.43 (((~![B: $i] : ((~less_3(B)) | (v124(constB99, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v124(constB99, bitIndex0) <=> b010(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB99, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v124(constB99, bitIndex0) <=> b010(bitIndex0)))),
% 8.88/6.43 inference(rewrite,[status(thm)],[])).
% 8.88/6.43 tff(18068,plain,
% 8.88/6.43 ((~![B: $i] : ((~less_3(B)) | (v124(constB99, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v124(constB99, bitIndex0) <=> b010(bitIndex0)))),
% 8.88/6.43 inference(quant_inst,[status(thm)],[])).
% 8.88/6.43 tff(18069,plain,
% 8.88/6.43 ((~![B: $i] : ((~less_3(B)) | (v124(constB99, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v124(constB99, bitIndex0) <=> b010(bitIndex0))),
% 8.88/6.43 inference(modus_ponens,[status(thm)],[18068, 18067])).
% 8.88/6.43 tff(18070,plain,
% 8.88/6.43 (v124(constB99, bitIndex0) <=> b010(bitIndex0)),
% 8.88/6.43 inference(unit_resolution,[status(thm)],[18069, 9772, 18035])).
% 8.88/6.43 tff(18071,plain,
% 8.88/6.43 ((~(v124(constB99, bitIndex0) <=> b010(bitIndex0))) | (~v124(constB99, bitIndex0)) | b010(bitIndex0)),
% 8.88/6.43 inference(tautology,[status(thm)],[])).
% 8.88/6.43 tff(18072,plain,
% 8.88/6.43 ((~(v124(constB99, bitIndex0) <=> b010(bitIndex0))) | (~v124(constB99, bitIndex0))),
% 8.88/6.43 inference(unit_resolution,[status(thm)],[18071, 10195])).
% 8.88/6.43 tff(18073,plain,
% 8.88/6.43 (~v124(constB99, bitIndex0)),
% 8.88/6.43 inference(unit_resolution,[status(thm)],[18072, 18070])).
% 8.88/6.43 tff(18074,plain,
% 8.88/6.43 ((~(v121(constB99, bitIndex0) <=> v124(constB99, bitIndex0))) | (~v121(constB99, bitIndex0)) | v124(constB99, bitIndex0)),
% 8.88/6.43 inference(tautology,[status(thm)],[])).
% 8.88/6.43 tff(18075,plain,
% 8.88/6.43 (~v121(constB99, bitIndex0)),
% 8.88/6.43 inference(unit_resolution,[status(thm)],[18074, 18073, 18066])).
% 8.88/6.43 tff(18076,plain,
% 8.88/6.43 ((~(v123(constB100, bitIndex0) <=> v121(constB99, bitIndex0))) | (~v123(constB100, bitIndex0)) | v121(constB99, bitIndex0)),
% 8.88/6.43 inference(tautology,[status(thm)],[])).
% 8.88/6.43 tff(18077,plain,
% 8.88/6.43 (~v123(constB100, bitIndex0)),
% 8.88/6.43 inference(unit_resolution,[status(thm)],[18076, 18075, 18062])).
% 8.88/6.43 tff(18078,plain,
% 8.88/6.43 ((~(v84(constB100, bitIndex0) <=> v123(constB100, bitIndex0))) | (~v84(constB100, bitIndex0)) | v123(constB100, bitIndex0)),
% 8.88/6.43 inference(tautology,[status(thm)],[])).
% 8.88/6.43 tff(18079,plain,
% 8.88/6.43 (~v84(constB100, bitIndex0)),
% 8.88/6.43 inference(unit_resolution,[status(thm)],[18078, 18077, 18058])).
% 8.88/6.43 tff(18080,plain,
% 8.88/6.43 ((~(v84(constB101, bitIndex0) <=> v84(constB100, bitIndex0))) | (~v84(constB101, bitIndex0)) | v84(constB100, bitIndex0)),
% 8.88/6.43 inference(tautology,[status(thm)],[])).
% 8.88/6.43 tff(18081,plain,
% 8.88/6.43 (~v84(constB101, bitIndex0)),
% 8.88/6.43 inference(unit_resolution,[status(thm)],[18080, 18079, 18054])).
% 8.88/6.43 tff(18082,plain,
% 8.88/6.43 (((~![B: $i] : ((~less_3(B)) | (v84(constB101, B) <=> v84(constB100, B)))) | ((~less_3(bitIndex1)) | (v84(constB101, bitIndex1) <=> v84(constB100, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB101, B) <=> v84(constB100, B)))) | (~less_3(bitIndex1)) | (v84(constB101, bitIndex1) <=> v84(constB100, bitIndex1)))),
% 8.88/6.43 inference(rewrite,[status(thm)],[])).
% 8.88/6.43 tff(18083,plain,
% 8.88/6.43 ((~![B: $i] : ((~less_3(B)) | (v84(constB101, B) <=> v84(constB100, B)))) | ((~less_3(bitIndex1)) | (v84(constB101, bitIndex1) <=> v84(constB100, bitIndex1)))),
% 8.88/6.43 inference(quant_inst,[status(thm)],[])).
% 8.88/6.43 tff(18084,plain,
% 8.88/6.43 ((~![B: $i] : ((~less_3(B)) | (v84(constB101, B) <=> v84(constB100, B)))) | (~less_3(bitIndex1)) | (v84(constB101, bitIndex1) <=> v84(constB100, bitIndex1))),
% 8.88/6.43 inference(modus_ponens,[status(thm)],[18083, 18082])).
% 8.88/6.43 tff(18085,plain,
% 8.88/6.43 (v84(constB101, bitIndex1) <=> v84(constB100, bitIndex1)),
% 8.88/6.43 inference(unit_resolution,[status(thm)],[18084, 9785, 5191])).
% 8.88/6.43 tff(18086,plain,
% 8.88/6.43 (((~![B: $i] : ((~less_3(B)) | (v84(constB100, B) <=> v123(constB100, B)))) | ((~less_3(bitIndex1)) | (v84(constB100, bitIndex1) <=> v123(constB100, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB100, B) <=> v123(constB100, B)))) | (~less_3(bitIndex1)) | (v84(constB100, bitIndex1) <=> v123(constB100, bitIndex1)))),
% 8.88/6.43 inference(rewrite,[status(thm)],[])).
% 8.88/6.43 tff(18087,plain,
% 8.88/6.43 ((~![B: $i] : ((~less_3(B)) | (v84(constB100, B) <=> v123(constB100, B)))) | ((~less_3(bitIndex1)) | (v84(constB100, bitIndex1) <=> v123(constB100, bitIndex1)))),
% 8.88/6.43 inference(quant_inst,[status(thm)],[])).
% 8.88/6.43 tff(18088,plain,
% 8.88/6.43 ((~![B: $i] : ((~less_3(B)) | (v84(constB100, B) <=> v123(constB100, B)))) | (~less_3(bitIndex1)) | (v84(constB100, bitIndex1) <=> v123(constB100, bitIndex1))),
% 8.88/6.43 inference(modus_ponens,[status(thm)],[18087, 18086])).
% 8.88/6.43 tff(18089,plain,
% 8.88/6.43 (v84(constB100, bitIndex1) <=> v123(constB100, bitIndex1)),
% 8.88/6.43 inference(unit_resolution,[status(thm)],[18088, 9785, 18010])).
% 8.88/6.43 tff(18090,plain,
% 8.88/6.43 (((~![B: $i] : ((~less_3(B)) | (v123(constB100, B) <=> v121(constB99, B)))) | ((~less_3(bitIndex1)) | (v123(constB100, bitIndex1) <=> v121(constB99, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB100, B) <=> v121(constB99, B)))) | (~less_3(bitIndex1)) | (v123(constB100, bitIndex1) <=> v121(constB99, bitIndex1)))),
% 8.88/6.43 inference(rewrite,[status(thm)],[])).
% 8.88/6.43 tff(18091,plain,
% 8.88/6.43 ((~![B: $i] : ((~less_3(B)) | (v123(constB100, B) <=> v121(constB99, B)))) | ((~less_3(bitIndex1)) | (v123(constB100, bitIndex1) <=> v121(constB99, bitIndex1)))),
% 8.88/6.43 inference(quant_inst,[status(thm)],[])).
% 8.88/6.43 tff(18092,plain,
% 8.88/6.43 ((~![B: $i] : ((~less_3(B)) | (v123(constB100, B) <=> v121(constB99, B)))) | (~less_3(bitIndex1)) | (v123(constB100, bitIndex1) <=> v121(constB99, bitIndex1))),
% 8.88/6.43 inference(modus_ponens,[status(thm)],[18091, 18090])).
% 8.88/6.43 tff(18093,plain,
% 8.88/6.43 (v123(constB100, bitIndex1) <=> v121(constB99, bitIndex1)),
% 8.88/6.43 inference(unit_resolution,[status(thm)],[18092, 9785, 18018])).
% 8.88/6.43 tff(18094,plain,
% 8.88/6.43 (((~![B: $i] : ((~less_3(B)) | (v121(constB99, B) <=> v124(constB99, B)))) | ((~less_3(bitIndex1)) | (v121(constB99, bitIndex1) <=> v124(constB99, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB99, B) <=> v124(constB99, B)))) | (~less_3(bitIndex1)) | (v121(constB99, bitIndex1) <=> v124(constB99, bitIndex1)))),
% 8.88/6.43 inference(rewrite,[status(thm)],[])).
% 8.88/6.43 tff(18095,plain,
% 8.88/6.43 ((~![B: $i] : ((~less_3(B)) | (v121(constB99, B) <=> v124(constB99, B)))) | ((~less_3(bitIndex1)) | (v121(constB99, bitIndex1) <=> v124(constB99, bitIndex1)))),
% 8.88/6.43 inference(quant_inst,[status(thm)],[])).
% 8.88/6.43 tff(18096,plain,
% 8.88/6.43 ((~![B: $i] : ((~less_3(B)) | (v121(constB99, B) <=> v124(constB99, B)))) | (~less_3(bitIndex1)) | (v121(constB99, bitIndex1) <=> v124(constB99, bitIndex1))),
% 8.88/6.43 inference(modus_ponens,[status(thm)],[18095, 18094])).
% 8.88/6.43 tff(18097,plain,
% 8.88/6.43 (v121(constB99, bitIndex1) <=> v124(constB99, bitIndex1)),
% 8.88/6.43 inference(unit_resolution,[status(thm)],[18096, 9785, 18026])).
% 8.88/6.43 tff(18098,plain,
% 8.88/6.43 (((~![B: $i] : ((~less_3(B)) | (v124(constB99, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v124(constB99, bitIndex1) <=> b010(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB99, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v124(constB99, bitIndex1) <=> b010(bitIndex1)))),
% 8.88/6.43 inference(rewrite,[status(thm)],[])).
% 8.88/6.43 tff(18099,plain,
% 8.88/6.43 ((~![B: $i] : ((~less_3(B)) | (v124(constB99, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v124(constB99, bitIndex1) <=> b010(bitIndex1)))),
% 8.88/6.43 inference(quant_inst,[status(thm)],[])).
% 8.88/6.43 tff(18100,plain,
% 8.88/6.43 ((~![B: $i] : ((~less_3(B)) | (v124(constB99, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v124(constB99, bitIndex1) <=> b010(bitIndex1))),
% 8.88/6.43 inference(modus_ponens,[status(thm)],[18099, 18098])).
% 8.88/6.43 tff(18101,plain,
% 8.88/6.43 (v124(constB99, bitIndex1) <=> b010(bitIndex1)),
% 8.88/6.43 inference(unit_resolution,[status(thm)],[18100, 9785, 18035])).
% 8.88/6.43 tff(18102,plain,
% 8.88/6.43 ((~(v124(constB99, bitIndex1) <=> b010(bitIndex1))) | v124(constB99, bitIndex1) | (~b010(bitIndex1))),
% 8.88/6.43 inference(tautology,[status(thm)],[])).
% 8.88/6.43 tff(18103,plain,
% 8.88/6.43 ((~(v124(constB99, bitIndex1) <=> b010(bitIndex1))) | v124(constB99, bitIndex1)),
% 8.88/6.43 inference(unit_resolution,[status(thm)],[18102, 10229])).
% 8.88/6.43 tff(18104,plain,
% 8.88/6.43 (v124(constB99, bitIndex1)),
% 8.88/6.43 inference(unit_resolution,[status(thm)],[18103, 18101])).
% 8.88/6.43 tff(18105,plain,
% 8.88/6.43 ((~(v121(constB99, bitIndex1) <=> v124(constB99, bitIndex1))) | v121(constB99, bitIndex1) | (~v124(constB99, bitIndex1))),
% 8.88/6.43 inference(tautology,[status(thm)],[])).
% 8.88/6.43 tff(18106,plain,
% 8.88/6.43 (v121(constB99, bitIndex1)),
% 8.88/6.43 inference(unit_resolution,[status(thm)],[18105, 18104, 18097])).
% 8.88/6.43 tff(18107,plain,
% 8.88/6.43 ((~(v123(constB100, bitIndex1) <=> v121(constB99, bitIndex1))) | v123(constB100, bitIndex1) | (~v121(constB99, bitIndex1))),
% 8.88/6.43 inference(tautology,[status(thm)],[])).
% 8.88/6.43 tff(18108,plain,
% 8.88/6.43 (v123(constB100, bitIndex1)),
% 8.88/6.43 inference(unit_resolution,[status(thm)],[18107, 18106, 18093])).
% 8.88/6.43 tff(18109,plain,
% 8.88/6.43 ((~(v84(constB100, bitIndex1) <=> v123(constB100, bitIndex1))) | v84(constB100, bitIndex1) | (~v123(constB100, bitIndex1))),
% 8.88/6.43 inference(tautology,[status(thm)],[])).
% 8.88/6.43 tff(18110,plain,
% 8.88/6.43 (v84(constB100, bitIndex1)),
% 8.88/6.43 inference(unit_resolution,[status(thm)],[18109, 18108, 18089])).
% 8.88/6.43 tff(18111,plain,
% 8.88/6.43 ((~(v84(constB101, bitIndex1) <=> v84(constB100, bitIndex1))) | v84(constB101, bitIndex1) | (~v84(constB100, bitIndex1))),
% 8.88/6.43 inference(tautology,[status(thm)],[])).
% 8.88/6.43 tff(18112,plain,
% 8.88/6.43 (v84(constB101, bitIndex1)),
% 8.88/6.43 inference(unit_resolution,[status(thm)],[18111, 18110, 18085])).
% 8.88/6.43 tff(18113,plain,
% 8.88/6.43 ((~(v84(constB101, bitIndex2) | (~v84(constB101, bitIndex1)) | v84(constB101, bitIndex0))) | v84(constB101, bitIndex2) | (~v84(constB101, bitIndex1)) | v84(constB101, bitIndex0)),
% 8.88/6.43 inference(tautology,[status(thm)],[])).
% 8.88/6.43 tff(18114,plain,
% 8.88/6.43 (~(v84(constB101, bitIndex2) | (~v84(constB101, bitIndex1)) | v84(constB101, bitIndex0))),
% 8.88/6.43 inference(unit_resolution,[status(thm)],[18113, 18112, 18081, 18050])).
% 8.88/6.43 tff(18115,plain,
% 8.88/6.43 ((~(v115(constB101) <=> (~(v84(constB101, bitIndex2) | (~v84(constB101, bitIndex1)) | v84(constB101, bitIndex0))))) | v115(constB101) | (v84(constB101, bitIndex2) | (~v84(constB101, bitIndex1)) | v84(constB101, bitIndex0))),
% 8.88/6.43 inference(tautology,[status(thm)],[])).
% 8.88/6.43 tff(18116,plain,
% 8.88/6.43 (v115(constB101)),
% 8.88/6.43 inference(unit_resolution,[status(thm)],[18115, 18114, 5163])).
% 8.88/6.43 tff(18117,plain,
% 8.88/6.43 ((v112(constB101) | v115(constB101)) | (~v115(constB101))),
% 8.88/6.43 inference(tautology,[status(thm)],[])).
% 8.88/6.43 tff(18118,plain,
% 8.88/6.43 (v112(constB101) | v115(constB101)),
% 8.88/6.43 inference(unit_resolution,[status(thm)],[18117, 18116])).
% 8.88/6.43 tff(18119,plain,
% 8.88/6.43 ((~(v111(constB101) <=> (v112(constB101) | v115(constB101)))) | v111(constB101) | (~(v112(constB101) | v115(constB101)))),
% 8.88/6.43 inference(tautology,[status(thm)],[])).
% 8.88/6.43 tff(18120,plain,
% 8.88/6.43 (v111(constB101)),
% 8.88/6.43 inference(unit_resolution,[status(thm)],[18119, 18118, 5156])).
% 8.88/6.43 tff(18121,plain,
% 8.88/6.43 ((v111(constB101) | v116(constB101)) | (~v111(constB101))),
% 8.88/6.43 inference(tautology,[status(thm)],[])).
% 8.88/6.43 tff(18122,plain,
% 8.88/6.43 (v111(constB101) | v116(constB101)),
% 8.88/6.43 inference(unit_resolution,[status(thm)],[18121, 18120])).
% 8.88/6.43 tff(18123,plain,
% 8.88/6.43 ((~(v110(constB101) <=> (v111(constB101) | v116(constB101)))) | v110(constB101) | (~(v111(constB101) | v116(constB101)))),
% 8.88/6.43 inference(tautology,[status(thm)],[])).
% 8.88/6.43 tff(18124,plain,
% 8.88/6.43 (v110(constB101)),
% 8.88/6.43 inference(unit_resolution,[status(thm)],[18123, 18122, 5154])).
% 8.88/6.43 tff(18125,plain,
% 8.88/6.43 ((v110(constB101) | v117(constB101)) | (~v110(constB101))),
% 8.88/6.43 inference(tautology,[status(thm)],[])).
% 8.88/6.43 tff(18126,plain,
% 8.88/6.43 (v110(constB101) | v117(constB101)),
% 8.88/6.43 inference(unit_resolution,[status(thm)],[18125, 18124])).
% 8.88/6.43 tff(18127,plain,
% 8.88/6.43 ((~(v109(constB101) <=> (v110(constB101) | v117(constB101)))) | v109(constB101) | (~(v110(constB101) | v117(constB101)))),
% 8.88/6.43 inference(tautology,[status(thm)],[])).
% 8.88/6.43 tff(18128,plain,
% 8.88/6.43 (v109(constB101)),
% 8.88/6.43 inference(unit_resolution,[status(thm)],[18127, 18126, 5152])).
% 8.88/6.43 tff(18129,plain,
% 8.88/6.43 ((v109(constB101) | v118(constB101)) | (~v109(constB101))),
% 8.88/6.43 inference(tautology,[status(thm)],[])).
% 8.88/6.43 tff(18130,plain,
% 8.88/6.43 (v109(constB101) | v118(constB101)),
% 8.88/6.43 inference(unit_resolution,[status(thm)],[18129, 18128])).
% 8.88/6.43 tff(18131,plain,
% 8.88/6.43 ((~(v108(constB101) <=> (v109(constB101) | v118(constB101)))) | v108(constB101) | (~(v109(constB101) | v118(constB101)))),
% 8.88/6.43 inference(tautology,[status(thm)],[])).
% 8.88/6.43 tff(18132,plain,
% 8.88/6.43 (v108(constB101)),
% 8.88/6.43 inference(unit_resolution,[status(thm)],[18131, 18130, 5150])).
% 8.88/6.43 tff(18133,plain,
% 8.88/6.43 ((v108(constB101) | v119(constB101)) | (~v108(constB101))),
% 8.88/6.43 inference(tautology,[status(thm)],[])).
% 8.88/6.43 tff(18134,plain,
% 8.88/6.43 (v108(constB101) | v119(constB101)),
% 8.88/6.43 inference(unit_resolution,[status(thm)],[18133, 18132])).
% 8.88/6.43 tff(18135,plain,
% 8.88/6.43 ((~(v107(constB101) <=> (v108(constB101) | v119(constB101)))) | v107(constB101) | (~(v108(constB101) | v119(constB101)))),
% 8.88/6.43 inference(tautology,[status(thm)],[])).
% 8.88/6.43 tff(18136,plain,
% 8.88/6.43 (v107(constB101)),
% 8.88/6.43 inference(unit_resolution,[status(thm)],[18135, 18134, 5148])).
% 8.88/6.43 tff(18137,plain,
% 8.88/6.43 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB101)) <=> v105(constB101))),
% 8.88/6.43 inference(quant_inst,[status(thm)],[])).
% 8.88/6.43 tff(18138,plain,
% 8.88/6.43 ((~v120(constB101)) <=> v105(constB101)),
% 8.88/6.43 inference(unit_resolution,[status(thm)],[18137, 9842])).
% 8.88/6.43 tff(18139,plain,
% 8.88/6.43 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB101) <=> v26(constB101))),
% 8.88/6.43 inference(quant_inst,[status(thm)],[])).
% 8.88/6.43 tff(18140,plain,
% 8.88/6.43 (v105(constB101) <=> v26(constB101)),
% 8.88/6.43 inference(unit_resolution,[status(thm)],[18139, 9854])).
% 8.88/6.43 tff(18141,plain,
% 8.88/6.43 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB101))),
% 8.88/6.43 inference(quant_inst,[status(thm)],[])).
% 8.88/6.43 tff(18142,plain,
% 8.88/6.43 (~v26(constB101)),
% 8.88/6.43 inference(unit_resolution,[status(thm)],[18141, 9866])).
% 8.88/6.43 tff(18143,plain,
% 8.88/6.43 ((~(v105(constB101) <=> v26(constB101))) | (~v105(constB101)) | v26(constB101)),
% 8.88/6.43 inference(tautology,[status(thm)],[])).
% 8.88/6.43 tff(18144,plain,
% 8.88/6.43 ((~(v105(constB101) <=> v26(constB101))) | (~v105(constB101))),
% 8.88/6.43 inference(unit_resolution,[status(thm)],[18143, 18142])).
% 8.88/6.43 tff(18145,plain,
% 8.88/6.43 (~v105(constB101)),
% 8.88/6.43 inference(unit_resolution,[status(thm)],[18144, 18140])).
% 8.88/6.43 tff(18146,plain,
% 8.88/6.43 ((~((~v120(constB101)) <=> v105(constB101))) | v120(constB101) | v105(constB101)),
% 8.88/6.43 inference(tautology,[status(thm)],[])).
% 8.88/6.43 tff(18147,plain,
% 8.88/6.43 ((~((~v120(constB101)) <=> v105(constB101))) | v120(constB101)),
% 8.88/6.43 inference(unit_resolution,[status(thm)],[18146, 18145])).
% 8.88/6.43 tff(18148,plain,
% 8.88/6.43 (v120(constB101)),
% 8.88/6.43 inference(unit_resolution,[status(thm)],[18147, 18138])).
% 8.88/6.43 tff(18149,plain,
% 8.88/6.43 ((~((~v107(constB101)) | (~v120(constB101)))) | (~v107(constB101)) | (~v120(constB101))),
% 8.88/6.43 inference(tautology,[status(thm)],[])).
% 8.88/6.43 tff(18150,plain,
% 8.88/6.43 ((~((~v107(constB101)) | (~v120(constB101)))) | (~v107(constB101))),
% 8.88/6.43 inference(unit_resolution,[status(thm)],[18149, 18148])).
% 8.88/6.43 tff(18151,plain,
% 8.88/6.43 (~((~v107(constB101)) | (~v120(constB101)))),
% 8.88/6.43 inference(unit_resolution,[status(thm)],[18150, 18136])).
% 8.88/6.43 tff(18152,plain,
% 8.88/6.43 ((~(v106(constB101) <=> (~((~v107(constB101)) | (~v120(constB101)))))) | v106(constB101) | ((~v107(constB101)) | (~v120(constB101)))),
% 8.88/6.43 inference(tautology,[status(thm)],[])).
% 8.88/6.43 tff(18153,plain,
% 8.88/6.43 (v106(constB101)),
% 8.88/6.43 inference(unit_resolution,[status(thm)],[18152, 18151, 5146])).
% 8.88/6.43 tff(18154,plain,
% 8.88/6.43 ((v105(constB101) | v106(constB101)) | (~v106(constB101))),
% 8.88/6.43 inference(tautology,[status(thm)],[])).
% 8.88/6.43 tff(18155,plain,
% 8.88/6.43 (v105(constB101) | v106(constB101)),
% 8.88/6.43 inference(unit_resolution,[status(thm)],[18154, 18153])).
% 8.88/6.43 tff(18156,plain,
% 8.88/6.43 ((~(v102(constB101) <=> (v105(constB101) | v106(constB101)))) | v102(constB101) | (~(v105(constB101) | v106(constB101)))),
% 8.88/6.43 inference(tautology,[status(thm)],[])).
% 8.88/6.43 tff(18157,plain,
% 8.88/6.43 (v102(constB101)),
% 8.88/6.43 inference(unit_resolution,[status(thm)],[18156, 18155, 5144])).
% 8.88/6.43 tff(18158,plain,
% 8.88/6.43 ((~(v104(constB102) <=> v102(constB101))) | v104(constB102) | (~v102(constB101))),
% 8.88/6.43 inference(tautology,[status(thm)],[])).
% 8.88/6.43 tff(18159,plain,
% 8.88/6.43 (v104(constB102)),
% 8.88/6.43 inference(unit_resolution,[status(thm)],[18158, 18157, 5142])).
% 8.88/6.43 tff(18160,plain,
% 8.88/6.43 ((~((~v104(constB102)) | (~v95(constB102)))) | (~v104(constB102)) | (~v95(constB102))),
% 8.88/6.43 inference(tautology,[status(thm)],[])).
% 8.88/6.43 tff(18161,plain,
% 8.88/6.43 (~((~v104(constB102)) | (~v95(constB102)))),
% 8.88/6.43 inference(unit_resolution,[status(thm)],[18160, 18159, 5138])).
% 8.88/6.43 tff(18162,plain,
% 8.88/6.43 ((~(v94(constB102) <=> (~((~v104(constB102)) | (~v95(constB102)))))) | v94(constB102) | ((~v104(constB102)) | (~v95(constB102)))),
% 8.88/6.43 inference(tautology,[status(thm)],[])).
% 8.88/6.43 tff(18163,plain,
% 8.88/6.43 (v94(constB102)),
% 8.88/6.43 inference(unit_resolution,[status(thm)],[18162, 18161, 5107])).
% 8.88/6.43 tff(18164,plain,
% 8.88/6.43 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB102)) | ![B: $i] : ((~less_3(B)) | (v84(constB102, B) <=> v123(constB102, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB102)) | ![B: $i] : ((~less_3(B)) | (v84(constB102, B) <=> v123(constB102, B))))),
% 8.88/6.43 inference(rewrite,[status(thm)],[])).
% 8.88/6.43 tff(18165,plain,
% 8.88/6.43 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB102)) | ![B: $i] : ((~less_3(B)) | (v84(constB102, B) <=> v123(constB102, B))))),
% 8.88/6.43 inference(quant_inst,[status(thm)],[])).
% 8.88/6.43 tff(18166,plain,
% 8.88/6.43 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB102)) | ![B: $i] : ((~less_3(B)) | (v84(constB102, B) <=> v123(constB102, B)))),
% 8.88/6.43 inference(modus_ponens,[status(thm)],[18165, 18164])).
% 8.88/6.43 tff(18167,plain,
% 8.88/6.43 ((~v94(constB102)) | ![B: $i] : ((~less_3(B)) | (v84(constB102, B) <=> v123(constB102, B)))),
% 8.88/6.43 inference(unit_resolution,[status(thm)],[18166, 9902])).
% 8.88/6.43 tff(18168,plain,
% 8.88/6.43 (![B: $i] : ((~less_3(B)) | (v84(constB102, B) <=> v123(constB102, B)))),
% 8.88/6.43 inference(unit_resolution,[status(thm)],[18167, 18163])).
% 8.88/6.43 tff(18169,plain,
% 8.88/6.43 (((~![B: $i] : ((~less_3(B)) | (v84(constB102, B) <=> v123(constB102, B)))) | ((~less_3(bitIndex2)) | (v84(constB102, bitIndex2) <=> v123(constB102, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB102, B) <=> v123(constB102, B)))) | (~less_3(bitIndex2)) | (v84(constB102, bitIndex2) <=> v123(constB102, bitIndex2)))),
% 8.88/6.43 inference(rewrite,[status(thm)],[])).
% 8.88/6.43 tff(18170,plain,
% 8.88/6.43 ((~![B: $i] : ((~less_3(B)) | (v84(constB102, B) <=> v123(constB102, B)))) | ((~less_3(bitIndex2)) | (v84(constB102, bitIndex2) <=> v123(constB102, bitIndex2)))),
% 8.88/6.43 inference(quant_inst,[status(thm)],[])).
% 8.88/6.43 tff(18171,plain,
% 8.88/6.43 ((~![B: $i] : ((~less_3(B)) | (v84(constB102, B) <=> v123(constB102, B)))) | (~less_3(bitIndex2)) | (v84(constB102, bitIndex2) <=> v123(constB102, bitIndex2))),
% 8.88/6.43 inference(modus_ponens,[status(thm)],[18170, 18169])).
% 8.88/6.43 tff(18172,plain,
% 8.88/6.43 (v84(constB102, bitIndex2) <=> v123(constB102, bitIndex2)),
% 8.88/6.43 inference(unit_resolution,[status(thm)],[18171, 832, 18168])).
% 8.88/6.43 tff(18173,plain,
% 8.88/6.43 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB101, constB102)) | ![B: $i] : ((~less_3(B)) | (v123(constB102, B) <=> v121(constB101, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB101, constB102)) | ![B: $i] : ((~less_3(B)) | (v123(constB102, B) <=> v121(constB101, B))))),
% 8.88/6.43 inference(rewrite,[status(thm)],[])).
% 8.88/6.43 tff(18174,plain,
% 8.88/6.43 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB101, constB102)) | ![B: $i] : ((~less_3(B)) | (v123(constB102, B) <=> v121(constB101, B))))),
% 8.88/6.43 inference(quant_inst,[status(thm)],[])).
% 8.88/6.43 tff(18175,plain,
% 8.88/6.43 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB101, constB102)) | ![B: $i] : ((~less_3(B)) | (v123(constB102, B) <=> v121(constB101, B)))),
% 8.88/6.43 inference(modus_ponens,[status(thm)],[18174, 18173])).
% 8.88/6.43 tff(18176,plain,
% 8.88/6.43 (![B: $i] : ((~less_3(B)) | (v123(constB102, B) <=> v121(constB101, B)))),
% 8.88/6.43 inference(unit_resolution,[status(thm)],[18175, 5103, 9924])).
% 8.88/6.43 tff(18177,plain,
% 8.88/6.43 (((~![B: $i] : ((~less_3(B)) | (v123(constB102, B) <=> v121(constB101, B)))) | ((~less_3(bitIndex2)) | (v123(constB102, bitIndex2) <=> v121(constB101, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB102, B) <=> v121(constB101, B)))) | (~less_3(bitIndex2)) | (v123(constB102, bitIndex2) <=> v121(constB101, bitIndex2)))),
% 8.88/6.43 inference(rewrite,[status(thm)],[])).
% 8.88/6.43 tff(18178,plain,
% 8.88/6.43 ((~![B: $i] : ((~less_3(B)) | (v123(constB102, B) <=> v121(constB101, B)))) | ((~less_3(bitIndex2)) | (v123(constB102, bitIndex2) <=> v121(constB101, bitIndex2)))),
% 8.88/6.43 inference(quant_inst,[status(thm)],[])).
% 8.88/6.43 tff(18179,plain,
% 8.88/6.43 ((~![B: $i] : ((~less_3(B)) | (v123(constB102, B) <=> v121(constB101, B)))) | (~less_3(bitIndex2)) | (v123(constB102, bitIndex2) <=> v121(constB101, bitIndex2))),
% 8.88/6.43 inference(modus_ponens,[status(thm)],[18178, 18177])).
% 8.88/6.43 tff(18180,plain,
% 8.88/6.43 (v123(constB102, bitIndex2) <=> v121(constB101, bitIndex2)),
% 8.88/6.43 inference(unit_resolution,[status(thm)],[18179, 832, 18176])).
% 8.88/6.43 tff(18181,plain,
% 8.88/6.43 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB101) | ![B: $i] : ((~less_3(B)) | (v121(constB101, B) <=> v124(constB101, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB101) | ![B: $i] : ((~less_3(B)) | (v121(constB101, B) <=> v124(constB101, B))))),
% 8.88/6.43 inference(rewrite,[status(thm)],[])).
% 8.88/6.43 tff(18182,plain,
% 8.88/6.43 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB101) | ![B: $i] : ((~less_3(B)) | (v121(constB101, B) <=> v124(constB101, B))))),
% 8.88/6.43 inference(quant_inst,[status(thm)],[])).
% 8.88/6.43 tff(18183,plain,
% 8.88/6.43 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB101) | ![B: $i] : ((~less_3(B)) | (v121(constB101, B) <=> v124(constB101, B)))),
% 8.88/6.43 inference(modus_ponens,[status(thm)],[18182, 18181])).
% 8.88/6.43 tff(18184,plain,
% 8.88/6.43 (![B: $i] : ((~less_3(B)) | (v121(constB101, B) <=> v124(constB101, B)))),
% 8.88/6.43 inference(unit_resolution,[status(thm)],[18183, 9945, 18145])).
% 8.88/6.43 tff(18185,plain,
% 8.88/6.43 (((~![B: $i] : ((~less_3(B)) | (v121(constB101, B) <=> v124(constB101, B)))) | ((~less_3(bitIndex2)) | (v121(constB101, bitIndex2) <=> v124(constB101, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB101, B) <=> v124(constB101, B)))) | (~less_3(bitIndex2)) | (v121(constB101, bitIndex2) <=> v124(constB101, bitIndex2)))),
% 8.88/6.43 inference(rewrite,[status(thm)],[])).
% 8.88/6.43 tff(18186,plain,
% 8.88/6.43 ((~![B: $i] : ((~less_3(B)) | (v121(constB101, B) <=> v124(constB101, B)))) | ((~less_3(bitIndex2)) | (v121(constB101, bitIndex2) <=> v124(constB101, bitIndex2)))),
% 8.88/6.43 inference(quant_inst,[status(thm)],[])).
% 8.88/6.43 tff(18187,plain,
% 8.88/6.43 ((~![B: $i] : ((~less_3(B)) | (v121(constB101, B) <=> v124(constB101, B)))) | (~less_3(bitIndex2)) | (v121(constB101, bitIndex2) <=> v124(constB101, bitIndex2))),
% 8.88/6.43 inference(modus_ponens,[status(thm)],[18186, 18185])).
% 8.88/6.43 tff(18188,plain,
% 8.88/6.43 (v121(constB101, bitIndex2) <=> v124(constB101, bitIndex2)),
% 8.88/6.43 inference(unit_resolution,[status(thm)],[18187, 832, 18184])).
% 8.88/6.43 tff(18189,plain,
% 8.88/6.43 (((~![VarCurr: $i] : ((~v115(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b011(B))))) | ((~v115(constB101)) | ![B: $i] : ((~less_3(B)) | (v124(constB101, B) <=> b011(B))))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b011(B))))) | (~v115(constB101)) | ![B: $i] : ((~less_3(B)) | (v124(constB101, B) <=> b011(B))))),
% 8.88/6.43 inference(rewrite,[status(thm)],[])).
% 8.88/6.43 tff(18190,plain,
% 8.88/6.43 ((~![VarCurr: $i] : ((~v115(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b011(B))))) | ((~v115(constB101)) | ![B: $i] : ((~less_3(B)) | (v124(constB101, B) <=> b011(B))))),
% 8.88/6.43 inference(quant_inst,[status(thm)],[])).
% 8.88/6.43 tff(18191,plain,
% 8.88/6.43 ((~![VarCurr: $i] : ((~v115(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b011(B))))) | (~v115(constB101)) | ![B: $i] : ((~less_3(B)) | (v124(constB101, B) <=> b011(B)))),
% 8.88/6.43 inference(modus_ponens,[status(thm)],[18190, 18189])).
% 8.88/6.43 tff(18192,plain,
% 8.88/6.43 ((~v115(constB101)) | ![B: $i] : ((~less_3(B)) | (v124(constB101, B) <=> b011(B)))),
% 8.88/6.43 inference(unit_resolution,[status(thm)],[18191, 10329])).
% 8.88/6.43 tff(18193,plain,
% 8.88/6.43 (![B: $i] : ((~less_3(B)) | (v124(constB101, B) <=> b011(B)))),
% 8.88/6.43 inference(unit_resolution,[status(thm)],[18192, 18116])).
% 8.88/6.43 tff(18194,plain,
% 8.88/6.43 (((~![B: $i] : ((~less_3(B)) | (v124(constB101, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v124(constB101, bitIndex2) <=> b011(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB101, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v124(constB101, bitIndex2) <=> b011(bitIndex2)))),
% 8.88/6.43 inference(rewrite,[status(thm)],[])).
% 8.88/6.43 tff(18195,plain,
% 8.88/6.43 ((~![B: $i] : ((~less_3(B)) | (v124(constB101, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v124(constB101, bitIndex2) <=> b011(bitIndex2)))),
% 8.88/6.43 inference(quant_inst,[status(thm)],[])).
% 8.88/6.43 tff(18196,plain,
% 8.88/6.43 ((~![B: $i] : ((~less_3(B)) | (v124(constB101, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v124(constB101, bitIndex2) <=> b011(bitIndex2))),
% 8.88/6.43 inference(modus_ponens,[status(thm)],[18195, 18194])).
% 8.88/6.43 tff(18197,plain,
% 8.88/6.43 (v124(constB101, bitIndex2) <=> b011(bitIndex2)),
% 8.88/6.43 inference(unit_resolution,[status(thm)],[18196, 832, 18193])).
% 8.88/6.43 tff(18198,plain,
% 8.88/6.43 ((~(v124(constB101, bitIndex2) <=> b011(bitIndex2))) | (~v124(constB101, bitIndex2)) | b011(bitIndex2)),
% 8.88/6.43 inference(tautology,[status(thm)],[])).
% 8.88/6.43 tff(18199,plain,
% 8.88/6.43 ((~(v124(constB101, bitIndex2) <=> b011(bitIndex2))) | (~v124(constB101, bitIndex2))),
% 8.88/6.43 inference(unit_resolution,[status(thm)],[18198, 10341])).
% 8.88/6.43 tff(18200,plain,
% 8.88/6.43 (~v124(constB101, bitIndex2)),
% 8.88/6.43 inference(unit_resolution,[status(thm)],[18199, 18197])).
% 8.88/6.43 tff(18201,plain,
% 8.88/6.43 ((~(v121(constB101, bitIndex2) <=> v124(constB101, bitIndex2))) | (~v121(constB101, bitIndex2)) | v124(constB101, bitIndex2)),
% 8.88/6.44 inference(tautology,[status(thm)],[])).
% 8.88/6.44 tff(18202,plain,
% 8.88/6.44 (~v121(constB101, bitIndex2)),
% 8.88/6.44 inference(unit_resolution,[status(thm)],[18201, 18200, 18188])).
% 8.88/6.44 tff(18203,plain,
% 8.88/6.44 ((~(v123(constB102, bitIndex2) <=> v121(constB101, bitIndex2))) | (~v123(constB102, bitIndex2)) | v121(constB101, bitIndex2)),
% 8.88/6.44 inference(tautology,[status(thm)],[])).
% 8.88/6.44 tff(18204,plain,
% 8.88/6.44 (~v123(constB102, bitIndex2)),
% 8.88/6.44 inference(unit_resolution,[status(thm)],[18203, 18202, 18180])).
% 8.88/6.44 tff(18205,plain,
% 8.88/6.44 ((~(v84(constB102, bitIndex2) <=> v123(constB102, bitIndex2))) | (~v84(constB102, bitIndex2)) | v123(constB102, bitIndex2)),
% 8.88/6.44 inference(tautology,[status(thm)],[])).
% 8.88/6.44 tff(18206,plain,
% 8.88/6.44 (~v84(constB102, bitIndex2)),
% 8.88/6.44 inference(unit_resolution,[status(thm)],[18205, 18204, 18172])).
% 8.88/6.44 tff(18207,plain,
% 8.88/6.44 ((~(v84(constB103, bitIndex2) <=> v84(constB102, bitIndex2))) | (~v84(constB103, bitIndex2)) | v84(constB102, bitIndex2)),
% 8.88/6.44 inference(tautology,[status(thm)],[])).
% 8.88/6.44 tff(18208,plain,
% 8.88/6.44 (~v84(constB103, bitIndex2)),
% 8.88/6.44 inference(unit_resolution,[status(thm)],[18207, 18206, 5100])).
% 8.88/6.44 tff(18209,plain,
% 8.88/6.44 (((~![B: $i] : ((~less_3(B)) | (v84(constB103, B) <=> v84(constB102, B)))) | ((~less_3(bitIndex0)) | (v84(constB103, bitIndex0) <=> v84(constB102, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB103, B) <=> v84(constB102, B)))) | (~less_3(bitIndex0)) | (v84(constB103, bitIndex0) <=> v84(constB102, bitIndex0)))),
% 8.88/6.44 inference(rewrite,[status(thm)],[])).
% 8.88/6.44 tff(18210,plain,
% 8.88/6.44 ((~![B: $i] : ((~less_3(B)) | (v84(constB103, B) <=> v84(constB102, B)))) | ((~less_3(bitIndex0)) | (v84(constB103, bitIndex0) <=> v84(constB102, bitIndex0)))),
% 8.88/6.44 inference(quant_inst,[status(thm)],[])).
% 8.88/6.44 tff(18211,plain,
% 8.88/6.44 ((~![B: $i] : ((~less_3(B)) | (v84(constB103, B) <=> v84(constB102, B)))) | (~less_3(bitIndex0)) | (v84(constB103, bitIndex0) <=> v84(constB102, bitIndex0))),
% 8.88/6.44 inference(modus_ponens,[status(thm)],[18210, 18209])).
% 8.88/6.44 tff(18212,plain,
% 8.88/6.44 (v84(constB103, bitIndex0) <=> v84(constB102, bitIndex0)),
% 8.88/6.44 inference(unit_resolution,[status(thm)],[18211, 9772, 5096])).
% 8.88/6.44 tff(18213,plain,
% 8.88/6.44 (((~![B: $i] : ((~less_3(B)) | (v84(constB102, B) <=> v123(constB102, B)))) | ((~less_3(bitIndex0)) | (v84(constB102, bitIndex0) <=> v123(constB102, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB102, B) <=> v123(constB102, B)))) | (~less_3(bitIndex0)) | (v84(constB102, bitIndex0) <=> v123(constB102, bitIndex0)))),
% 8.88/6.44 inference(rewrite,[status(thm)],[])).
% 8.88/6.44 tff(18214,plain,
% 8.88/6.44 ((~![B: $i] : ((~less_3(B)) | (v84(constB102, B) <=> v123(constB102, B)))) | ((~less_3(bitIndex0)) | (v84(constB102, bitIndex0) <=> v123(constB102, bitIndex0)))),
% 8.88/6.44 inference(quant_inst,[status(thm)],[])).
% 8.88/6.44 tff(18215,plain,
% 8.88/6.44 ((~![B: $i] : ((~less_3(B)) | (v84(constB102, B) <=> v123(constB102, B)))) | (~less_3(bitIndex0)) | (v84(constB102, bitIndex0) <=> v123(constB102, bitIndex0))),
% 8.88/6.44 inference(modus_ponens,[status(thm)],[18214, 18213])).
% 8.88/6.44 tff(18216,plain,
% 8.88/6.44 (v84(constB102, bitIndex0) <=> v123(constB102, bitIndex0)),
% 8.88/6.44 inference(unit_resolution,[status(thm)],[18215, 9772, 18168])).
% 8.88/6.44 tff(18217,plain,
% 8.88/6.44 (((~![B: $i] : ((~less_3(B)) | (v123(constB102, B) <=> v121(constB101, B)))) | ((~less_3(bitIndex0)) | (v123(constB102, bitIndex0) <=> v121(constB101, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB102, B) <=> v121(constB101, B)))) | (~less_3(bitIndex0)) | (v123(constB102, bitIndex0) <=> v121(constB101, bitIndex0)))),
% 8.88/6.44 inference(rewrite,[status(thm)],[])).
% 8.88/6.44 tff(18218,plain,
% 8.88/6.44 ((~![B: $i] : ((~less_3(B)) | (v123(constB102, B) <=> v121(constB101, B)))) | ((~less_3(bitIndex0)) | (v123(constB102, bitIndex0) <=> v121(constB101, bitIndex0)))),
% 8.88/6.44 inference(quant_inst,[status(thm)],[])).
% 8.88/6.44 tff(18219,plain,
% 8.88/6.44 ((~![B: $i] : ((~less_3(B)) | (v123(constB102, B) <=> v121(constB101, B)))) | (~less_3(bitIndex0)) | (v123(constB102, bitIndex0) <=> v121(constB101, bitIndex0))),
% 8.88/6.44 inference(modus_ponens,[status(thm)],[18218, 18217])).
% 8.88/6.44 tff(18220,plain,
% 8.88/6.44 (v123(constB102, bitIndex0) <=> v121(constB101, bitIndex0)),
% 8.88/6.44 inference(unit_resolution,[status(thm)],[18219, 9772, 18176])).
% 8.88/6.44 tff(18221,plain,
% 8.88/6.44 (((~![B: $i] : ((~less_3(B)) | (v121(constB101, B) <=> v124(constB101, B)))) | ((~less_3(bitIndex0)) | (v121(constB101, bitIndex0) <=> v124(constB101, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB101, B) <=> v124(constB101, B)))) | (~less_3(bitIndex0)) | (v121(constB101, bitIndex0) <=> v124(constB101, bitIndex0)))),
% 8.88/6.44 inference(rewrite,[status(thm)],[])).
% 8.88/6.44 tff(18222,plain,
% 8.88/6.44 ((~![B: $i] : ((~less_3(B)) | (v121(constB101, B) <=> v124(constB101, B)))) | ((~less_3(bitIndex0)) | (v121(constB101, bitIndex0) <=> v124(constB101, bitIndex0)))),
% 8.88/6.44 inference(quant_inst,[status(thm)],[])).
% 8.88/6.44 tff(18223,plain,
% 8.88/6.44 ((~![B: $i] : ((~less_3(B)) | (v121(constB101, B) <=> v124(constB101, B)))) | (~less_3(bitIndex0)) | (v121(constB101, bitIndex0) <=> v124(constB101, bitIndex0))),
% 8.88/6.44 inference(modus_ponens,[status(thm)],[18222, 18221])).
% 8.88/6.44 tff(18224,plain,
% 8.88/6.44 (v121(constB101, bitIndex0) <=> v124(constB101, bitIndex0)),
% 8.88/6.44 inference(unit_resolution,[status(thm)],[18223, 9772, 18184])).
% 8.88/6.44 tff(18225,plain,
% 8.88/6.44 (((~![B: $i] : ((~less_3(B)) | (v124(constB101, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v124(constB101, bitIndex0) <=> b011(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB101, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v124(constB101, bitIndex0) <=> b011(bitIndex0)))),
% 8.88/6.44 inference(rewrite,[status(thm)],[])).
% 8.88/6.44 tff(18226,plain,
% 8.88/6.44 ((~![B: $i] : ((~less_3(B)) | (v124(constB101, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v124(constB101, bitIndex0) <=> b011(bitIndex0)))),
% 8.88/6.44 inference(quant_inst,[status(thm)],[])).
% 8.88/6.44 tff(18227,plain,
% 8.88/6.44 ((~![B: $i] : ((~less_3(B)) | (v124(constB101, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v124(constB101, bitIndex0) <=> b011(bitIndex0))),
% 8.88/6.44 inference(modus_ponens,[status(thm)],[18226, 18225])).
% 8.88/6.44 tff(18228,plain,
% 8.88/6.44 (v124(constB101, bitIndex0) <=> b011(bitIndex0)),
% 8.88/6.44 inference(unit_resolution,[status(thm)],[18227, 9772, 18193])).
% 8.88/6.44 tff(18229,plain,
% 8.88/6.44 ((~(v124(constB101, bitIndex0) <=> b011(bitIndex0))) | v124(constB101, bitIndex0) | (~b011(bitIndex0))),
% 8.88/6.44 inference(tautology,[status(thm)],[])).
% 8.88/6.44 tff(18230,plain,
% 8.88/6.44 ((~(v124(constB101, bitIndex0) <=> b011(bitIndex0))) | v124(constB101, bitIndex0)),
% 8.88/6.44 inference(unit_resolution,[status(thm)],[18229, 10375])).
% 8.88/6.44 tff(18231,plain,
% 8.88/6.44 (v124(constB101, bitIndex0)),
% 8.88/6.44 inference(unit_resolution,[status(thm)],[18230, 18228])).
% 8.88/6.44 tff(18232,plain,
% 8.88/6.44 ((~(v121(constB101, bitIndex0) <=> v124(constB101, bitIndex0))) | v121(constB101, bitIndex0) | (~v124(constB101, bitIndex0))),
% 8.88/6.44 inference(tautology,[status(thm)],[])).
% 8.88/6.44 tff(18233,plain,
% 8.88/6.44 (v121(constB101, bitIndex0)),
% 8.88/6.44 inference(unit_resolution,[status(thm)],[18232, 18231, 18224])).
% 8.88/6.44 tff(18234,plain,
% 8.88/6.44 ((~(v123(constB102, bitIndex0) <=> v121(constB101, bitIndex0))) | v123(constB102, bitIndex0) | (~v121(constB101, bitIndex0))),
% 8.88/6.44 inference(tautology,[status(thm)],[])).
% 8.88/6.44 tff(18235,plain,
% 8.88/6.44 (v123(constB102, bitIndex0)),
% 8.88/6.44 inference(unit_resolution,[status(thm)],[18234, 18233, 18220])).
% 8.88/6.44 tff(18236,plain,
% 8.88/6.44 ((~(v84(constB102, bitIndex0) <=> v123(constB102, bitIndex0))) | v84(constB102, bitIndex0) | (~v123(constB102, bitIndex0))),
% 8.88/6.44 inference(tautology,[status(thm)],[])).
% 8.88/6.44 tff(18237,plain,
% 8.88/6.44 (v84(constB102, bitIndex0)),
% 8.88/6.44 inference(unit_resolution,[status(thm)],[18236, 18235, 18216])).
% 8.88/6.44 tff(18238,plain,
% 8.88/6.44 ((~(v84(constB103, bitIndex0) <=> v84(constB102, bitIndex0))) | v84(constB103, bitIndex0) | (~v84(constB102, bitIndex0))),
% 8.88/6.44 inference(tautology,[status(thm)],[])).
% 8.88/6.44 tff(18239,plain,
% 8.88/6.44 (v84(constB103, bitIndex0)),
% 8.88/6.44 inference(unit_resolution,[status(thm)],[18238, 18237, 18212])).
% 8.88/6.44 tff(18240,plain,
% 8.88/6.44 (((~![B: $i] : ((~less_3(B)) | (v84(constB103, B) <=> v84(constB102, B)))) | ((~less_3(bitIndex1)) | (v84(constB103, bitIndex1) <=> v84(constB102, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB103, B) <=> v84(constB102, B)))) | (~less_3(bitIndex1)) | (v84(constB103, bitIndex1) <=> v84(constB102, bitIndex1)))),
% 8.88/6.44 inference(rewrite,[status(thm)],[])).
% 8.88/6.44 tff(18241,plain,
% 8.88/6.44 ((~![B: $i] : ((~less_3(B)) | (v84(constB103, B) <=> v84(constB102, B)))) | ((~less_3(bitIndex1)) | (v84(constB103, bitIndex1) <=> v84(constB102, bitIndex1)))),
% 8.88/6.44 inference(quant_inst,[status(thm)],[])).
% 8.88/6.44 tff(18242,plain,
% 8.88/6.44 ((~![B: $i] : ((~less_3(B)) | (v84(constB103, B) <=> v84(constB102, B)))) | (~less_3(bitIndex1)) | (v84(constB103, bitIndex1) <=> v84(constB102, bitIndex1))),
% 8.88/6.44 inference(modus_ponens,[status(thm)],[18241, 18240])).
% 8.88/6.44 tff(18243,plain,
% 8.88/6.44 (v84(constB103, bitIndex1) <=> v84(constB102, bitIndex1)),
% 8.88/6.44 inference(unit_resolution,[status(thm)],[18242, 9785, 5096])).
% 8.88/6.44 tff(18244,plain,
% 8.88/6.44 (((~![B: $i] : ((~less_3(B)) | (v84(constB102, B) <=> v123(constB102, B)))) | ((~less_3(bitIndex1)) | (v84(constB102, bitIndex1) <=> v123(constB102, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB102, B) <=> v123(constB102, B)))) | (~less_3(bitIndex1)) | (v84(constB102, bitIndex1) <=> v123(constB102, bitIndex1)))),
% 8.88/6.44 inference(rewrite,[status(thm)],[])).
% 8.88/6.44 tff(18245,plain,
% 8.88/6.44 ((~![B: $i] : ((~less_3(B)) | (v84(constB102, B) <=> v123(constB102, B)))) | ((~less_3(bitIndex1)) | (v84(constB102, bitIndex1) <=> v123(constB102, bitIndex1)))),
% 8.88/6.44 inference(quant_inst,[status(thm)],[])).
% 8.88/6.44 tff(18246,plain,
% 8.88/6.44 ((~![B: $i] : ((~less_3(B)) | (v84(constB102, B) <=> v123(constB102, B)))) | (~less_3(bitIndex1)) | (v84(constB102, bitIndex1) <=> v123(constB102, bitIndex1))),
% 8.88/6.44 inference(modus_ponens,[status(thm)],[18245, 18244])).
% 8.88/6.44 tff(18247,plain,
% 8.88/6.44 (v84(constB102, bitIndex1) <=> v123(constB102, bitIndex1)),
% 8.88/6.44 inference(unit_resolution,[status(thm)],[18246, 9785, 18168])).
% 8.88/6.44 tff(18248,plain,
% 8.88/6.44 (((~![B: $i] : ((~less_3(B)) | (v123(constB102, B) <=> v121(constB101, B)))) | ((~less_3(bitIndex1)) | (v123(constB102, bitIndex1) <=> v121(constB101, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB102, B) <=> v121(constB101, B)))) | (~less_3(bitIndex1)) | (v123(constB102, bitIndex1) <=> v121(constB101, bitIndex1)))),
% 8.88/6.44 inference(rewrite,[status(thm)],[])).
% 8.88/6.44 tff(18249,plain,
% 8.88/6.44 ((~![B: $i] : ((~less_3(B)) | (v123(constB102, B) <=> v121(constB101, B)))) | ((~less_3(bitIndex1)) | (v123(constB102, bitIndex1) <=> v121(constB101, bitIndex1)))),
% 8.88/6.44 inference(quant_inst,[status(thm)],[])).
% 8.88/6.44 tff(18250,plain,
% 8.88/6.44 ((~![B: $i] : ((~less_3(B)) | (v123(constB102, B) <=> v121(constB101, B)))) | (~less_3(bitIndex1)) | (v123(constB102, bitIndex1) <=> v121(constB101, bitIndex1))),
% 8.88/6.44 inference(modus_ponens,[status(thm)],[18249, 18248])).
% 8.88/6.44 tff(18251,plain,
% 8.88/6.44 (v123(constB102, bitIndex1) <=> v121(constB101, bitIndex1)),
% 8.88/6.44 inference(unit_resolution,[status(thm)],[18250, 9785, 18176])).
% 8.88/6.44 tff(18252,plain,
% 8.88/6.44 (((~![B: $i] : ((~less_3(B)) | (v121(constB101, B) <=> v124(constB101, B)))) | ((~less_3(bitIndex1)) | (v121(constB101, bitIndex1) <=> v124(constB101, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB101, B) <=> v124(constB101, B)))) | (~less_3(bitIndex1)) | (v121(constB101, bitIndex1) <=> v124(constB101, bitIndex1)))),
% 8.88/6.44 inference(rewrite,[status(thm)],[])).
% 8.88/6.44 tff(18253,plain,
% 8.88/6.44 ((~![B: $i] : ((~less_3(B)) | (v121(constB101, B) <=> v124(constB101, B)))) | ((~less_3(bitIndex1)) | (v121(constB101, bitIndex1) <=> v124(constB101, bitIndex1)))),
% 8.88/6.44 inference(quant_inst,[status(thm)],[])).
% 8.88/6.44 tff(18254,plain,
% 8.88/6.44 ((~![B: $i] : ((~less_3(B)) | (v121(constB101, B) <=> v124(constB101, B)))) | (~less_3(bitIndex1)) | (v121(constB101, bitIndex1) <=> v124(constB101, bitIndex1))),
% 8.88/6.44 inference(modus_ponens,[status(thm)],[18253, 18252])).
% 8.88/6.44 tff(18255,plain,
% 8.88/6.44 (v121(constB101, bitIndex1) <=> v124(constB101, bitIndex1)),
% 8.88/6.44 inference(unit_resolution,[status(thm)],[18254, 9785, 18184])).
% 8.88/6.44 tff(18256,plain,
% 8.88/6.44 (((~![B: $i] : ((~less_3(B)) | (v124(constB101, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v124(constB101, bitIndex1) <=> b011(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB101, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v124(constB101, bitIndex1) <=> b011(bitIndex1)))),
% 8.88/6.44 inference(rewrite,[status(thm)],[])).
% 8.88/6.44 tff(18257,plain,
% 8.88/6.44 ((~![B: $i] : ((~less_3(B)) | (v124(constB101, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v124(constB101, bitIndex1) <=> b011(bitIndex1)))),
% 8.88/6.44 inference(quant_inst,[status(thm)],[])).
% 8.88/6.44 tff(18258,plain,
% 8.88/6.44 ((~![B: $i] : ((~less_3(B)) | (v124(constB101, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v124(constB101, bitIndex1) <=> b011(bitIndex1))),
% 8.88/6.44 inference(modus_ponens,[status(thm)],[18257, 18256])).
% 8.88/6.44 tff(18259,plain,
% 8.88/6.44 (v124(constB101, bitIndex1) <=> b011(bitIndex1)),
% 8.88/6.44 inference(unit_resolution,[status(thm)],[18258, 9785, 18193])).
% 8.88/6.44 tff(18260,plain,
% 8.88/6.44 ((~(v124(constB101, bitIndex1) <=> b011(bitIndex1))) | v124(constB101, bitIndex1) | (~b011(bitIndex1))),
% 8.88/6.44 inference(tautology,[status(thm)],[])).
% 8.88/6.44 tff(18261,plain,
% 8.88/6.44 ((~(v124(constB101, bitIndex1) <=> b011(bitIndex1))) | v124(constB101, bitIndex1)),
% 8.88/6.44 inference(unit_resolution,[status(thm)],[18260, 10409])).
% 8.88/6.44 tff(18262,plain,
% 8.88/6.44 (v124(constB101, bitIndex1)),
% 8.88/6.44 inference(unit_resolution,[status(thm)],[18261, 18259])).
% 8.88/6.44 tff(18263,plain,
% 8.88/6.44 ((~(v121(constB101, bitIndex1) <=> v124(constB101, bitIndex1))) | v121(constB101, bitIndex1) | (~v124(constB101, bitIndex1))),
% 8.88/6.44 inference(tautology,[status(thm)],[])).
% 8.88/6.44 tff(18264,plain,
% 8.88/6.44 (v121(constB101, bitIndex1)),
% 8.88/6.44 inference(unit_resolution,[status(thm)],[18263, 18262, 18255])).
% 8.88/6.44 tff(18265,plain,
% 8.88/6.44 ((~(v123(constB102, bitIndex1) <=> v121(constB101, bitIndex1))) | v123(constB102, bitIndex1) | (~v121(constB101, bitIndex1))),
% 8.88/6.44 inference(tautology,[status(thm)],[])).
% 8.88/6.44 tff(18266,plain,
% 8.88/6.44 (v123(constB102, bitIndex1)),
% 8.88/6.44 inference(unit_resolution,[status(thm)],[18265, 18264, 18251])).
% 8.88/6.44 tff(18267,plain,
% 8.88/6.44 ((~(v84(constB102, bitIndex1) <=> v123(constB102, bitIndex1))) | v84(constB102, bitIndex1) | (~v123(constB102, bitIndex1))),
% 8.88/6.44 inference(tautology,[status(thm)],[])).
% 8.88/6.44 tff(18268,plain,
% 8.88/6.44 (v84(constB102, bitIndex1)),
% 8.88/6.44 inference(unit_resolution,[status(thm)],[18267, 18266, 18247])).
% 8.88/6.44 tff(18269,plain,
% 8.88/6.44 ((~(v84(constB103, bitIndex1) <=> v84(constB102, bitIndex1))) | v84(constB103, bitIndex1) | (~v84(constB102, bitIndex1))),
% 8.88/6.44 inference(tautology,[status(thm)],[])).
% 8.88/6.44 tff(18270,plain,
% 8.88/6.44 (v84(constB103, bitIndex1)),
% 8.88/6.44 inference(unit_resolution,[status(thm)],[18269, 18268, 18243])).
% 8.88/6.44 tff(18271,plain,
% 8.88/6.44 ((~(v84(constB103, bitIndex2) | (~v84(constB103, bitIndex1)) | (~v84(constB103, bitIndex0)))) | v84(constB103, bitIndex2) | (~v84(constB103, bitIndex1)) | (~v84(constB103, bitIndex0))),
% 8.88/6.44 inference(tautology,[status(thm)],[])).
% 8.88/6.44 tff(18272,plain,
% 8.88/6.44 (~(v84(constB103, bitIndex2) | (~v84(constB103, bitIndex1)) | (~v84(constB103, bitIndex0)))),
% 8.88/6.44 inference(unit_resolution,[status(thm)],[18271, 18270, 18239, 18208])).
% 8.88/6.44 tff(18273,plain,
% 8.88/6.44 ((~(v116(constB103) <=> (~(v84(constB103, bitIndex2) | (~v84(constB103, bitIndex1)) | (~v84(constB103, bitIndex0)))))) | v116(constB103) | (v84(constB103, bitIndex2) | (~v84(constB103, bitIndex1)) | (~v84(constB103, bitIndex0)))),
% 8.88/6.44 inference(tautology,[status(thm)],[])).
% 8.88/6.44 tff(18274,plain,
% 8.88/6.44 (v116(constB103)),
% 8.88/6.44 inference(unit_resolution,[status(thm)],[18273, 18272, 5068])).
% 8.88/6.44 tff(18275,plain,
% 8.88/6.44 ((v111(constB103) | v116(constB103)) | (~v116(constB103))),
% 8.88/6.44 inference(tautology,[status(thm)],[])).
% 8.88/6.44 tff(18276,plain,
% 8.88/6.44 (v111(constB103) | v116(constB103)),
% 8.88/6.44 inference(unit_resolution,[status(thm)],[18275, 18274])).
% 8.88/6.44 tff(18277,plain,
% 8.88/6.44 ((~(v110(constB103) <=> (v111(constB103) | v116(constB103)))) | v110(constB103) | (~(v111(constB103) | v116(constB103)))),
% 8.88/6.44 inference(tautology,[status(thm)],[])).
% 8.88/6.44 tff(18278,plain,
% 8.88/6.44 (v110(constB103)),
% 8.88/6.44 inference(unit_resolution,[status(thm)],[18277, 18276, 5066])).
% 8.88/6.44 tff(18279,plain,
% 8.88/6.44 ((v110(constB103) | v117(constB103)) | (~v110(constB103))),
% 8.88/6.44 inference(tautology,[status(thm)],[])).
% 8.88/6.44 tff(18280,plain,
% 8.88/6.44 (v110(constB103) | v117(constB103)),
% 8.88/6.44 inference(unit_resolution,[status(thm)],[18279, 18278])).
% 8.88/6.44 tff(18281,plain,
% 8.88/6.44 ((~(v109(constB103) <=> (v110(constB103) | v117(constB103)))) | v109(constB103) | (~(v110(constB103) | v117(constB103)))),
% 8.88/6.44 inference(tautology,[status(thm)],[])).
% 8.88/6.44 tff(18282,plain,
% 8.88/6.44 (v109(constB103)),
% 8.88/6.44 inference(unit_resolution,[status(thm)],[18281, 18280, 5064])).
% 8.88/6.44 tff(18283,plain,
% 8.88/6.44 ((v109(constB103) | v118(constB103)) | (~v109(constB103))),
% 8.88/6.44 inference(tautology,[status(thm)],[])).
% 8.88/6.44 tff(18284,plain,
% 8.88/6.44 (v109(constB103) | v118(constB103)),
% 8.88/6.44 inference(unit_resolution,[status(thm)],[18283, 18282])).
% 8.88/6.44 tff(18285,plain,
% 8.88/6.44 ((~(v108(constB103) <=> (v109(constB103) | v118(constB103)))) | v108(constB103) | (~(v109(constB103) | v118(constB103)))),
% 8.88/6.44 inference(tautology,[status(thm)],[])).
% 8.88/6.44 tff(18286,plain,
% 8.88/6.44 (v108(constB103)),
% 8.88/6.44 inference(unit_resolution,[status(thm)],[18285, 18284, 5062])).
% 8.88/6.44 tff(18287,plain,
% 8.88/6.44 ((v108(constB103) | v119(constB103)) | (~v108(constB103))),
% 8.88/6.44 inference(tautology,[status(thm)],[])).
% 8.88/6.44 tff(18288,plain,
% 8.88/6.44 (v108(constB103) | v119(constB103)),
% 8.88/6.44 inference(unit_resolution,[status(thm)],[18287, 18286])).
% 8.88/6.44 tff(18289,plain,
% 8.88/6.44 ((~(v107(constB103) <=> (v108(constB103) | v119(constB103)))) | v107(constB103) | (~(v108(constB103) | v119(constB103)))),
% 8.88/6.44 inference(tautology,[status(thm)],[])).
% 8.88/6.44 tff(18290,plain,
% 8.88/6.44 (v107(constB103)),
% 8.88/6.44 inference(unit_resolution,[status(thm)],[18289, 18288, 5060])).
% 8.88/6.44 tff(18291,plain,
% 8.88/6.44 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB103)) <=> v105(constB103))),
% 8.88/6.44 inference(quant_inst,[status(thm)],[])).
% 8.88/6.44 tff(18292,plain,
% 8.88/6.44 ((~v120(constB103)) <=> v105(constB103)),
% 8.88/6.44 inference(unit_resolution,[status(thm)],[18291, 9842])).
% 8.88/6.44 tff(18293,plain,
% 8.88/6.44 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB103) <=> v26(constB103))),
% 8.88/6.44 inference(quant_inst,[status(thm)],[])).
% 8.88/6.44 tff(18294,plain,
% 8.88/6.44 (v105(constB103) <=> v26(constB103)),
% 8.88/6.44 inference(unit_resolution,[status(thm)],[18293, 9854])).
% 8.88/6.44 tff(18295,plain,
% 8.88/6.44 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB103))),
% 8.88/6.44 inference(quant_inst,[status(thm)],[])).
% 8.88/6.44 tff(18296,plain,
% 8.88/6.44 (~v26(constB103)),
% 8.88/6.44 inference(unit_resolution,[status(thm)],[18295, 9866])).
% 8.88/6.44 tff(18297,plain,
% 8.88/6.44 ((~(v105(constB103) <=> v26(constB103))) | (~v105(constB103)) | v26(constB103)),
% 8.88/6.44 inference(tautology,[status(thm)],[])).
% 8.88/6.44 tff(18298,plain,
% 8.88/6.44 ((~(v105(constB103) <=> v26(constB103))) | (~v105(constB103))),
% 8.88/6.44 inference(unit_resolution,[status(thm)],[18297, 18296])).
% 8.88/6.44 tff(18299,plain,
% 8.88/6.44 (~v105(constB103)),
% 8.88/6.44 inference(unit_resolution,[status(thm)],[18298, 18294])).
% 8.88/6.44 tff(18300,plain,
% 8.88/6.44 ((~((~v120(constB103)) <=> v105(constB103))) | v120(constB103) | v105(constB103)),
% 8.88/6.44 inference(tautology,[status(thm)],[])).
% 8.88/6.44 tff(18301,plain,
% 8.88/6.44 ((~((~v120(constB103)) <=> v105(constB103))) | v120(constB103)),
% 8.88/6.44 inference(unit_resolution,[status(thm)],[18300, 18299])).
% 8.88/6.44 tff(18302,plain,
% 8.88/6.44 (v120(constB103)),
% 8.88/6.44 inference(unit_resolution,[status(thm)],[18301, 18292])).
% 8.88/6.44 tff(18303,plain,
% 8.88/6.44 ((~((~v107(constB103)) | (~v120(constB103)))) | (~v107(constB103)) | (~v120(constB103))),
% 8.88/6.44 inference(tautology,[status(thm)],[])).
% 8.88/6.44 tff(18304,plain,
% 8.88/6.44 ((~((~v107(constB103)) | (~v120(constB103)))) | (~v107(constB103))),
% 8.88/6.44 inference(unit_resolution,[status(thm)],[18303, 18302])).
% 8.88/6.44 tff(18305,plain,
% 8.88/6.44 (~((~v107(constB103)) | (~v120(constB103)))),
% 8.88/6.44 inference(unit_resolution,[status(thm)],[18304, 18290])).
% 8.88/6.44 tff(18306,plain,
% 8.88/6.44 ((~(v106(constB103) <=> (~((~v107(constB103)) | (~v120(constB103)))))) | v106(constB103) | ((~v107(constB103)) | (~v120(constB103)))),
% 8.88/6.44 inference(tautology,[status(thm)],[])).
% 8.88/6.44 tff(18307,plain,
% 8.88/6.44 (v106(constB103)),
% 8.88/6.44 inference(unit_resolution,[status(thm)],[18306, 18305, 5058])).
% 8.88/6.44 tff(18308,plain,
% 8.88/6.44 ((v105(constB103) | v106(constB103)) | (~v106(constB103))),
% 8.88/6.44 inference(tautology,[status(thm)],[])).
% 8.88/6.44 tff(18309,plain,
% 8.88/6.44 (v105(constB103) | v106(constB103)),
% 8.88/6.44 inference(unit_resolution,[status(thm)],[18308, 18307])).
% 8.88/6.44 tff(18310,plain,
% 8.88/6.44 ((~(v102(constB103) <=> (v105(constB103) | v106(constB103)))) | v102(constB103) | (~(v105(constB103) | v106(constB103)))),
% 8.88/6.44 inference(tautology,[status(thm)],[])).
% 8.88/6.44 tff(18311,plain,
% 8.88/6.44 (v102(constB103)),
% 8.88/6.44 inference(unit_resolution,[status(thm)],[18310, 18309, 5056])).
% 8.88/6.44 tff(18312,plain,
% 8.88/6.44 ((~(v104(constB104) <=> v102(constB103))) | v104(constB104) | (~v102(constB103))),
% 8.88/6.44 inference(tautology,[status(thm)],[])).
% 8.88/6.44 tff(18313,plain,
% 8.88/6.44 (v104(constB104)),
% 8.88/6.44 inference(unit_resolution,[status(thm)],[18312, 18311, 5054])).
% 8.88/6.44 tff(18314,plain,
% 8.88/6.44 ((~((~v104(constB104)) | (~v95(constB104)))) | (~v104(constB104)) | (~v95(constB104))),
% 8.88/6.44 inference(tautology,[status(thm)],[])).
% 8.88/6.44 tff(18315,plain,
% 8.88/6.44 (~((~v104(constB104)) | (~v95(constB104)))),
% 8.88/6.44 inference(unit_resolution,[status(thm)],[18314, 18313, 5050])).
% 8.88/6.44 tff(18316,plain,
% 8.88/6.44 ((~(v94(constB104) <=> (~((~v104(constB104)) | (~v95(constB104)))))) | v94(constB104) | ((~v104(constB104)) | (~v95(constB104)))),
% 8.88/6.44 inference(tautology,[status(thm)],[])).
% 8.88/6.44 tff(18317,plain,
% 8.88/6.44 (v94(constB104)),
% 8.88/6.44 inference(unit_resolution,[status(thm)],[18316, 18315, 5019])).
% 8.88/6.44 tff(18318,plain,
% 8.88/6.44 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB104)) | ![B: $i] : ((~less_3(B)) | (v84(constB104, B) <=> v123(constB104, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB104)) | ![B: $i] : ((~less_3(B)) | (v84(constB104, B) <=> v123(constB104, B))))),
% 8.88/6.44 inference(rewrite,[status(thm)],[])).
% 8.88/6.44 tff(18319,plain,
% 8.88/6.44 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB104)) | ![B: $i] : ((~less_3(B)) | (v84(constB104, B) <=> v123(constB104, B))))),
% 8.88/6.44 inference(quant_inst,[status(thm)],[])).
% 8.88/6.44 tff(18320,plain,
% 8.88/6.44 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB104)) | ![B: $i] : ((~less_3(B)) | (v84(constB104, B) <=> v123(constB104, B)))),
% 8.88/6.44 inference(modus_ponens,[status(thm)],[18319, 18318])).
% 8.88/6.44 tff(18321,plain,
% 8.88/6.44 ((~v94(constB104)) | ![B: $i] : ((~less_3(B)) | (v84(constB104, B) <=> v123(constB104, B)))),
% 8.88/6.44 inference(unit_resolution,[status(thm)],[18320, 9902])).
% 8.88/6.44 tff(18322,plain,
% 8.88/6.44 (![B: $i] : ((~less_3(B)) | (v84(constB104, B) <=> v123(constB104, B)))),
% 8.88/6.44 inference(unit_resolution,[status(thm)],[18321, 18317])).
% 8.88/6.44 tff(18323,plain,
% 8.88/6.44 (((~![B: $i] : ((~less_3(B)) | (v84(constB104, B) <=> v123(constB104, B)))) | ((~less_3(bitIndex2)) | (v84(constB104, bitIndex2) <=> v123(constB104, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB104, B) <=> v123(constB104, B)))) | (~less_3(bitIndex2)) | (v84(constB104, bitIndex2) <=> v123(constB104, bitIndex2)))),
% 8.88/6.44 inference(rewrite,[status(thm)],[])).
% 8.88/6.44 tff(18324,plain,
% 8.88/6.44 ((~![B: $i] : ((~less_3(B)) | (v84(constB104, B) <=> v123(constB104, B)))) | ((~less_3(bitIndex2)) | (v84(constB104, bitIndex2) <=> v123(constB104, bitIndex2)))),
% 8.88/6.44 inference(quant_inst,[status(thm)],[])).
% 8.88/6.44 tff(18325,plain,
% 8.88/6.44 ((~![B: $i] : ((~less_3(B)) | (v84(constB104, B) <=> v123(constB104, B)))) | (~less_3(bitIndex2)) | (v84(constB104, bitIndex2) <=> v123(constB104, bitIndex2))),
% 8.88/6.44 inference(modus_ponens,[status(thm)],[18324, 18323])).
% 8.88/6.44 tff(18326,plain,
% 8.88/6.44 (v84(constB104, bitIndex2) <=> v123(constB104, bitIndex2)),
% 8.88/6.44 inference(unit_resolution,[status(thm)],[18325, 832, 18322])).
% 8.88/6.44 tff(18327,plain,
% 8.88/6.44 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB103, constB104)) | ![B: $i] : ((~less_3(B)) | (v123(constB104, B) <=> v121(constB103, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB103, constB104)) | ![B: $i] : ((~less_3(B)) | (v123(constB104, B) <=> v121(constB103, B))))),
% 8.88/6.44 inference(rewrite,[status(thm)],[])).
% 8.88/6.44 tff(18328,plain,
% 8.88/6.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB103, constB104)) | ![B: $i] : ((~less_3(B)) | (v123(constB104, B) <=> v121(constB103, B))))),
% 8.88/6.44 inference(quant_inst,[status(thm)],[])).
% 8.88/6.44 tff(18329,plain,
% 8.88/6.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB103, constB104)) | ![B: $i] : ((~less_3(B)) | (v123(constB104, B) <=> v121(constB103, B)))),
% 8.88/6.44 inference(modus_ponens,[status(thm)],[18328, 18327])).
% 8.88/6.44 tff(18330,plain,
% 8.88/6.44 (![B: $i] : ((~less_3(B)) | (v123(constB104, B) <=> v121(constB103, B)))),
% 8.88/6.44 inference(unit_resolution,[status(thm)],[18329, 5015, 9924])).
% 8.88/6.44 tff(18331,plain,
% 8.88/6.44 (((~![B: $i] : ((~less_3(B)) | (v123(constB104, B) <=> v121(constB103, B)))) | ((~less_3(bitIndex2)) | (v123(constB104, bitIndex2) <=> v121(constB103, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB104, B) <=> v121(constB103, B)))) | (~less_3(bitIndex2)) | (v123(constB104, bitIndex2) <=> v121(constB103, bitIndex2)))),
% 8.88/6.44 inference(rewrite,[status(thm)],[])).
% 8.88/6.44 tff(18332,plain,
% 8.88/6.44 ((~![B: $i] : ((~less_3(B)) | (v123(constB104, B) <=> v121(constB103, B)))) | ((~less_3(bitIndex2)) | (v123(constB104, bitIndex2) <=> v121(constB103, bitIndex2)))),
% 8.88/6.44 inference(quant_inst,[status(thm)],[])).
% 8.88/6.44 tff(18333,plain,
% 8.88/6.44 ((~![B: $i] : ((~less_3(B)) | (v123(constB104, B) <=> v121(constB103, B)))) | (~less_3(bitIndex2)) | (v123(constB104, bitIndex2) <=> v121(constB103, bitIndex2))),
% 8.88/6.44 inference(modus_ponens,[status(thm)],[18332, 18331])).
% 8.88/6.44 tff(18334,plain,
% 8.88/6.44 (v123(constB104, bitIndex2) <=> v121(constB103, bitIndex2)),
% 8.88/6.44 inference(unit_resolution,[status(thm)],[18333, 832, 18330])).
% 8.88/6.44 tff(18335,plain,
% 8.88/6.44 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB103) | ![B: $i] : ((~less_3(B)) | (v121(constB103, B) <=> v124(constB103, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB103) | ![B: $i] : ((~less_3(B)) | (v121(constB103, B) <=> v124(constB103, B))))),
% 8.88/6.44 inference(rewrite,[status(thm)],[])).
% 8.88/6.44 tff(18336,plain,
% 8.88/6.44 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB103) | ![B: $i] : ((~less_3(B)) | (v121(constB103, B) <=> v124(constB103, B))))),
% 8.88/6.44 inference(quant_inst,[status(thm)],[])).
% 8.88/6.44 tff(18337,plain,
% 8.88/6.44 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB103) | ![B: $i] : ((~less_3(B)) | (v121(constB103, B) <=> v124(constB103, B)))),
% 8.88/6.44 inference(modus_ponens,[status(thm)],[18336, 18335])).
% 8.88/6.44 tff(18338,plain,
% 8.88/6.44 (![B: $i] : ((~less_3(B)) | (v121(constB103, B) <=> v124(constB103, B)))),
% 8.88/6.44 inference(unit_resolution,[status(thm)],[18337, 9945, 18299])).
% 8.88/6.44 tff(18339,plain,
% 8.88/6.44 (((~![B: $i] : ((~less_3(B)) | (v121(constB103, B) <=> v124(constB103, B)))) | ((~less_3(bitIndex2)) | (v121(constB103, bitIndex2) <=> v124(constB103, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB103, B) <=> v124(constB103, B)))) | (~less_3(bitIndex2)) | (v121(constB103, bitIndex2) <=> v124(constB103, bitIndex2)))),
% 8.88/6.44 inference(rewrite,[status(thm)],[])).
% 8.88/6.44 tff(18340,plain,
% 8.88/6.44 ((~![B: $i] : ((~less_3(B)) | (v121(constB103, B) <=> v124(constB103, B)))) | ((~less_3(bitIndex2)) | (v121(constB103, bitIndex2) <=> v124(constB103, bitIndex2)))),
% 8.88/6.44 inference(quant_inst,[status(thm)],[])).
% 8.88/6.44 tff(18341,plain,
% 8.88/6.44 ((~![B: $i] : ((~less_3(B)) | (v121(constB103, B) <=> v124(constB103, B)))) | (~less_3(bitIndex2)) | (v121(constB103, bitIndex2) <=> v124(constB103, bitIndex2))),
% 8.88/6.44 inference(modus_ponens,[status(thm)],[18340, 18339])).
% 8.88/6.44 tff(18342,plain,
% 8.88/6.44 (v121(constB103, bitIndex2) <=> v124(constB103, bitIndex2)),
% 8.88/6.44 inference(unit_resolution,[status(thm)],[18341, 832, 18338])).
% 8.88/6.44 tff(18343,plain,
% 8.88/6.44 (((~![VarCurr: $i] : ((~v116(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b100(B))))) | ((~v116(constB103)) | ![B: $i] : ((~less_3(B)) | (v124(constB103, B) <=> b100(B))))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b100(B))))) | (~v116(constB103)) | ![B: $i] : ((~less_3(B)) | (v124(constB103, B) <=> b100(B))))),
% 8.88/6.44 inference(rewrite,[status(thm)],[])).
% 8.88/6.44 tff(18344,plain,
% 8.88/6.44 ((~![VarCurr: $i] : ((~v116(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b100(B))))) | ((~v116(constB103)) | ![B: $i] : ((~less_3(B)) | (v124(constB103, B) <=> b100(B))))),
% 8.88/6.44 inference(quant_inst,[status(thm)],[])).
% 8.88/6.44 tff(18345,plain,
% 8.88/6.44 ((~![VarCurr: $i] : ((~v116(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b100(B))))) | (~v116(constB103)) | ![B: $i] : ((~less_3(B)) | (v124(constB103, B) <=> b100(B)))),
% 8.88/6.44 inference(modus_ponens,[status(thm)],[18344, 18343])).
% 8.88/6.44 tff(18346,plain,
% 8.88/6.44 ((~v116(constB103)) | ![B: $i] : ((~less_3(B)) | (v124(constB103, B) <=> b100(B)))),
% 8.88/6.44 inference(unit_resolution,[status(thm)],[18345, 10505])).
% 8.88/6.44 tff(18347,plain,
% 8.88/6.44 (![B: $i] : ((~less_3(B)) | (v124(constB103, B) <=> b100(B)))),
% 8.88/6.44 inference(unit_resolution,[status(thm)],[18346, 18274])).
% 8.88/6.44 tff(18348,plain,
% 8.88/6.44 (((~![B: $i] : ((~less_3(B)) | (v124(constB103, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v124(constB103, bitIndex2) <=> b100(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB103, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v124(constB103, bitIndex2) <=> b100(bitIndex2)))),
% 8.88/6.44 inference(rewrite,[status(thm)],[])).
% 8.88/6.44 tff(18349,plain,
% 8.88/6.44 ((~![B: $i] : ((~less_3(B)) | (v124(constB103, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v124(constB103, bitIndex2) <=> b100(bitIndex2)))),
% 8.88/6.44 inference(quant_inst,[status(thm)],[])).
% 8.88/6.44 tff(18350,plain,
% 8.88/6.44 ((~![B: $i] : ((~less_3(B)) | (v124(constB103, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v124(constB103, bitIndex2) <=> b100(bitIndex2))),
% 8.88/6.44 inference(modus_ponens,[status(thm)],[18349, 18348])).
% 8.88/6.44 tff(18351,plain,
% 8.88/6.44 (v124(constB103, bitIndex2) <=> b100(bitIndex2)),
% 8.88/6.44 inference(unit_resolution,[status(thm)],[18350, 832, 18347])).
% 8.88/6.44 tff(18352,plain,
% 8.88/6.44 ((~(v124(constB103, bitIndex2) <=> b100(bitIndex2))) | v124(constB103, bitIndex2) | (~b100(bitIndex2))),
% 8.88/6.44 inference(tautology,[status(thm)],[])).
% 8.88/6.44 tff(18353,plain,
% 8.88/6.44 ((~(v124(constB103, bitIndex2) <=> b100(bitIndex2))) | v124(constB103, bitIndex2)),
% 8.88/6.44 inference(unit_resolution,[status(thm)],[18352, 10517])).
% 8.88/6.44 tff(18354,plain,
% 8.88/6.44 (v124(constB103, bitIndex2)),
% 8.88/6.44 inference(unit_resolution,[status(thm)],[18353, 18351])).
% 8.88/6.44 tff(18355,plain,
% 8.88/6.44 ((~(v121(constB103, bitIndex2) <=> v124(constB103, bitIndex2))) | v121(constB103, bitIndex2) | (~v124(constB103, bitIndex2))),
% 8.88/6.44 inference(tautology,[status(thm)],[])).
% 8.88/6.44 tff(18356,plain,
% 8.88/6.44 (v121(constB103, bitIndex2)),
% 8.88/6.44 inference(unit_resolution,[status(thm)],[18355, 18354, 18342])).
% 8.88/6.44 tff(18357,plain,
% 8.88/6.44 ((~(v123(constB104, bitIndex2) <=> v121(constB103, bitIndex2))) | v123(constB104, bitIndex2) | (~v121(constB103, bitIndex2))),
% 8.88/6.44 inference(tautology,[status(thm)],[])).
% 8.88/6.44 tff(18358,plain,
% 8.88/6.44 (v123(constB104, bitIndex2)),
% 8.88/6.44 inference(unit_resolution,[status(thm)],[18357, 18356, 18334])).
% 8.88/6.44 tff(18359,plain,
% 8.88/6.44 ((~(v84(constB104, bitIndex2) <=> v123(constB104, bitIndex2))) | v84(constB104, bitIndex2) | (~v123(constB104, bitIndex2))),
% 8.88/6.44 inference(tautology,[status(thm)],[])).
% 8.88/6.44 tff(18360,plain,
% 8.88/6.44 (v84(constB104, bitIndex2)),
% 8.88/6.44 inference(unit_resolution,[status(thm)],[18359, 18358, 18326])).
% 8.88/6.44 tff(18361,plain,
% 8.88/6.44 ((~(v84(constB105, bitIndex2) <=> v84(constB104, bitIndex2))) | v84(constB105, bitIndex2) | (~v84(constB104, bitIndex2))),
% 8.88/6.44 inference(tautology,[status(thm)],[])).
% 8.88/6.44 tff(18362,plain,
% 8.88/6.44 (v84(constB105, bitIndex2)),
% 8.88/6.44 inference(unit_resolution,[status(thm)],[18361, 18360, 5012])).
% 8.88/6.44 tff(18363,plain,
% 8.88/6.44 (((~![B: $i] : ((~less_3(B)) | (v84(constB105, B) <=> v84(constB104, B)))) | ((~less_3(bitIndex0)) | (v84(constB105, bitIndex0) <=> v84(constB104, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB105, B) <=> v84(constB104, B)))) | (~less_3(bitIndex0)) | (v84(constB105, bitIndex0) <=> v84(constB104, bitIndex0)))),
% 8.88/6.44 inference(rewrite,[status(thm)],[])).
% 8.88/6.44 tff(18364,plain,
% 8.88/6.44 ((~![B: $i] : ((~less_3(B)) | (v84(constB105, B) <=> v84(constB104, B)))) | ((~less_3(bitIndex0)) | (v84(constB105, bitIndex0) <=> v84(constB104, bitIndex0)))),
% 8.88/6.44 inference(quant_inst,[status(thm)],[])).
% 8.88/6.44 tff(18365,plain,
% 8.88/6.44 ((~![B: $i] : ((~less_3(B)) | (v84(constB105, B) <=> v84(constB104, B)))) | (~less_3(bitIndex0)) | (v84(constB105, bitIndex0) <=> v84(constB104, bitIndex0))),
% 8.88/6.44 inference(modus_ponens,[status(thm)],[18364, 18363])).
% 8.88/6.44 tff(18366,plain,
% 8.88/6.44 (v84(constB105, bitIndex0) <=> v84(constB104, bitIndex0)),
% 8.88/6.44 inference(unit_resolution,[status(thm)],[18365, 9772, 5008])).
% 8.88/6.44 tff(18367,plain,
% 8.88/6.44 (((~![B: $i] : ((~less_3(B)) | (v84(constB104, B) <=> v123(constB104, B)))) | ((~less_3(bitIndex0)) | (v84(constB104, bitIndex0) <=> v123(constB104, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB104, B) <=> v123(constB104, B)))) | (~less_3(bitIndex0)) | (v84(constB104, bitIndex0) <=> v123(constB104, bitIndex0)))),
% 8.88/6.44 inference(rewrite,[status(thm)],[])).
% 8.88/6.44 tff(18368,plain,
% 8.88/6.44 ((~![B: $i] : ((~less_3(B)) | (v84(constB104, B) <=> v123(constB104, B)))) | ((~less_3(bitIndex0)) | (v84(constB104, bitIndex0) <=> v123(constB104, bitIndex0)))),
% 8.88/6.44 inference(quant_inst,[status(thm)],[])).
% 8.88/6.44 tff(18369,plain,
% 8.88/6.44 ((~![B: $i] : ((~less_3(B)) | (v84(constB104, B) <=> v123(constB104, B)))) | (~less_3(bitIndex0)) | (v84(constB104, bitIndex0) <=> v123(constB104, bitIndex0))),
% 8.88/6.45 inference(modus_ponens,[status(thm)],[18368, 18367])).
% 8.88/6.45 tff(18370,plain,
% 8.88/6.45 (v84(constB104, bitIndex0) <=> v123(constB104, bitIndex0)),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[18369, 9772, 18322])).
% 8.88/6.45 tff(18371,plain,
% 8.88/6.45 (((~![B: $i] : ((~less_3(B)) | (v123(constB104, B) <=> v121(constB103, B)))) | ((~less_3(bitIndex0)) | (v123(constB104, bitIndex0) <=> v121(constB103, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB104, B) <=> v121(constB103, B)))) | (~less_3(bitIndex0)) | (v123(constB104, bitIndex0) <=> v121(constB103, bitIndex0)))),
% 8.88/6.45 inference(rewrite,[status(thm)],[])).
% 8.88/6.45 tff(18372,plain,
% 8.88/6.45 ((~![B: $i] : ((~less_3(B)) | (v123(constB104, B) <=> v121(constB103, B)))) | ((~less_3(bitIndex0)) | (v123(constB104, bitIndex0) <=> v121(constB103, bitIndex0)))),
% 8.88/6.45 inference(quant_inst,[status(thm)],[])).
% 8.88/6.45 tff(18373,plain,
% 8.88/6.45 ((~![B: $i] : ((~less_3(B)) | (v123(constB104, B) <=> v121(constB103, B)))) | (~less_3(bitIndex0)) | (v123(constB104, bitIndex0) <=> v121(constB103, bitIndex0))),
% 8.88/6.45 inference(modus_ponens,[status(thm)],[18372, 18371])).
% 8.88/6.45 tff(18374,plain,
% 8.88/6.45 (v123(constB104, bitIndex0) <=> v121(constB103, bitIndex0)),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[18373, 9772, 18330])).
% 8.88/6.45 tff(18375,plain,
% 8.88/6.45 (((~![B: $i] : ((~less_3(B)) | (v121(constB103, B) <=> v124(constB103, B)))) | ((~less_3(bitIndex0)) | (v121(constB103, bitIndex0) <=> v124(constB103, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB103, B) <=> v124(constB103, B)))) | (~less_3(bitIndex0)) | (v121(constB103, bitIndex0) <=> v124(constB103, bitIndex0)))),
% 8.88/6.45 inference(rewrite,[status(thm)],[])).
% 8.88/6.45 tff(18376,plain,
% 8.88/6.45 ((~![B: $i] : ((~less_3(B)) | (v121(constB103, B) <=> v124(constB103, B)))) | ((~less_3(bitIndex0)) | (v121(constB103, bitIndex0) <=> v124(constB103, bitIndex0)))),
% 8.88/6.45 inference(quant_inst,[status(thm)],[])).
% 8.88/6.45 tff(18377,plain,
% 8.88/6.45 ((~![B: $i] : ((~less_3(B)) | (v121(constB103, B) <=> v124(constB103, B)))) | (~less_3(bitIndex0)) | (v121(constB103, bitIndex0) <=> v124(constB103, bitIndex0))),
% 8.88/6.45 inference(modus_ponens,[status(thm)],[18376, 18375])).
% 8.88/6.45 tff(18378,plain,
% 8.88/6.45 (v121(constB103, bitIndex0) <=> v124(constB103, bitIndex0)),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[18377, 9772, 18338])).
% 8.88/6.45 tff(18379,plain,
% 8.88/6.45 (((~![B: $i] : ((~less_3(B)) | (v124(constB103, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v124(constB103, bitIndex0) <=> b100(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB103, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v124(constB103, bitIndex0) <=> b100(bitIndex0)))),
% 8.88/6.45 inference(rewrite,[status(thm)],[])).
% 8.88/6.45 tff(18380,plain,
% 8.88/6.45 ((~![B: $i] : ((~less_3(B)) | (v124(constB103, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v124(constB103, bitIndex0) <=> b100(bitIndex0)))),
% 8.88/6.45 inference(quant_inst,[status(thm)],[])).
% 8.88/6.45 tff(18381,plain,
% 8.88/6.45 ((~![B: $i] : ((~less_3(B)) | (v124(constB103, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v124(constB103, bitIndex0) <=> b100(bitIndex0))),
% 8.88/6.45 inference(modus_ponens,[status(thm)],[18380, 18379])).
% 8.88/6.45 tff(18382,plain,
% 8.88/6.45 (v124(constB103, bitIndex0) <=> b100(bitIndex0)),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[18381, 9772, 18347])).
% 8.88/6.45 tff(18383,plain,
% 8.88/6.45 ((~(v124(constB103, bitIndex0) <=> b100(bitIndex0))) | (~v124(constB103, bitIndex0)) | b100(bitIndex0)),
% 8.88/6.45 inference(tautology,[status(thm)],[])).
% 8.88/6.45 tff(18384,plain,
% 8.88/6.45 ((~(v124(constB103, bitIndex0) <=> b100(bitIndex0))) | (~v124(constB103, bitIndex0))),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[18383, 10551])).
% 8.88/6.45 tff(18385,plain,
% 8.88/6.45 (~v124(constB103, bitIndex0)),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[18384, 18382])).
% 8.88/6.45 tff(18386,plain,
% 8.88/6.45 ((~(v121(constB103, bitIndex0) <=> v124(constB103, bitIndex0))) | (~v121(constB103, bitIndex0)) | v124(constB103, bitIndex0)),
% 8.88/6.45 inference(tautology,[status(thm)],[])).
% 8.88/6.45 tff(18387,plain,
% 8.88/6.45 (~v121(constB103, bitIndex0)),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[18386, 18385, 18378])).
% 8.88/6.45 tff(18388,plain,
% 8.88/6.45 ((~(v123(constB104, bitIndex0) <=> v121(constB103, bitIndex0))) | (~v123(constB104, bitIndex0)) | v121(constB103, bitIndex0)),
% 8.88/6.45 inference(tautology,[status(thm)],[])).
% 8.88/6.45 tff(18389,plain,
% 8.88/6.45 (~v123(constB104, bitIndex0)),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[18388, 18387, 18374])).
% 8.88/6.45 tff(18390,plain,
% 8.88/6.45 ((~(v84(constB104, bitIndex0) <=> v123(constB104, bitIndex0))) | (~v84(constB104, bitIndex0)) | v123(constB104, bitIndex0)),
% 8.88/6.45 inference(tautology,[status(thm)],[])).
% 8.88/6.45 tff(18391,plain,
% 8.88/6.45 (~v84(constB104, bitIndex0)),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[18390, 18389, 18370])).
% 8.88/6.45 tff(18392,plain,
% 8.88/6.45 ((~(v84(constB105, bitIndex0) <=> v84(constB104, bitIndex0))) | (~v84(constB105, bitIndex0)) | v84(constB104, bitIndex0)),
% 8.88/6.45 inference(tautology,[status(thm)],[])).
% 8.88/6.45 tff(18393,plain,
% 8.88/6.45 (~v84(constB105, bitIndex0)),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[18392, 18391, 18366])).
% 8.88/6.45 tff(18394,plain,
% 8.88/6.45 (((~![B: $i] : ((~less_3(B)) | (v84(constB105, B) <=> v84(constB104, B)))) | ((~less_3(bitIndex1)) | (v84(constB105, bitIndex1) <=> v84(constB104, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB105, B) <=> v84(constB104, B)))) | (~less_3(bitIndex1)) | (v84(constB105, bitIndex1) <=> v84(constB104, bitIndex1)))),
% 8.88/6.45 inference(rewrite,[status(thm)],[])).
% 8.88/6.45 tff(18395,plain,
% 8.88/6.45 ((~![B: $i] : ((~less_3(B)) | (v84(constB105, B) <=> v84(constB104, B)))) | ((~less_3(bitIndex1)) | (v84(constB105, bitIndex1) <=> v84(constB104, bitIndex1)))),
% 8.88/6.45 inference(quant_inst,[status(thm)],[])).
% 8.88/6.45 tff(18396,plain,
% 8.88/6.45 ((~![B: $i] : ((~less_3(B)) | (v84(constB105, B) <=> v84(constB104, B)))) | (~less_3(bitIndex1)) | (v84(constB105, bitIndex1) <=> v84(constB104, bitIndex1))),
% 8.88/6.45 inference(modus_ponens,[status(thm)],[18395, 18394])).
% 8.88/6.45 tff(18397,plain,
% 8.88/6.45 (v84(constB105, bitIndex1) <=> v84(constB104, bitIndex1)),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[18396, 9785, 5008])).
% 8.88/6.45 tff(18398,plain,
% 8.88/6.45 (((~![B: $i] : ((~less_3(B)) | (v84(constB104, B) <=> v123(constB104, B)))) | ((~less_3(bitIndex1)) | (v84(constB104, bitIndex1) <=> v123(constB104, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB104, B) <=> v123(constB104, B)))) | (~less_3(bitIndex1)) | (v84(constB104, bitIndex1) <=> v123(constB104, bitIndex1)))),
% 8.88/6.45 inference(rewrite,[status(thm)],[])).
% 8.88/6.45 tff(18399,plain,
% 8.88/6.45 ((~![B: $i] : ((~less_3(B)) | (v84(constB104, B) <=> v123(constB104, B)))) | ((~less_3(bitIndex1)) | (v84(constB104, bitIndex1) <=> v123(constB104, bitIndex1)))),
% 8.88/6.45 inference(quant_inst,[status(thm)],[])).
% 8.88/6.45 tff(18400,plain,
% 8.88/6.45 ((~![B: $i] : ((~less_3(B)) | (v84(constB104, B) <=> v123(constB104, B)))) | (~less_3(bitIndex1)) | (v84(constB104, bitIndex1) <=> v123(constB104, bitIndex1))),
% 8.88/6.45 inference(modus_ponens,[status(thm)],[18399, 18398])).
% 8.88/6.45 tff(18401,plain,
% 8.88/6.45 (v84(constB104, bitIndex1) <=> v123(constB104, bitIndex1)),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[18400, 9785, 18322])).
% 8.88/6.45 tff(18402,plain,
% 8.88/6.45 (((~![B: $i] : ((~less_3(B)) | (v123(constB104, B) <=> v121(constB103, B)))) | ((~less_3(bitIndex1)) | (v123(constB104, bitIndex1) <=> v121(constB103, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB104, B) <=> v121(constB103, B)))) | (~less_3(bitIndex1)) | (v123(constB104, bitIndex1) <=> v121(constB103, bitIndex1)))),
% 8.88/6.45 inference(rewrite,[status(thm)],[])).
% 8.88/6.45 tff(18403,plain,
% 8.88/6.45 ((~![B: $i] : ((~less_3(B)) | (v123(constB104, B) <=> v121(constB103, B)))) | ((~less_3(bitIndex1)) | (v123(constB104, bitIndex1) <=> v121(constB103, bitIndex1)))),
% 8.88/6.45 inference(quant_inst,[status(thm)],[])).
% 8.88/6.45 tff(18404,plain,
% 8.88/6.45 ((~![B: $i] : ((~less_3(B)) | (v123(constB104, B) <=> v121(constB103, B)))) | (~less_3(bitIndex1)) | (v123(constB104, bitIndex1) <=> v121(constB103, bitIndex1))),
% 8.88/6.45 inference(modus_ponens,[status(thm)],[18403, 18402])).
% 8.88/6.45 tff(18405,plain,
% 8.88/6.45 (v123(constB104, bitIndex1) <=> v121(constB103, bitIndex1)),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[18404, 9785, 18330])).
% 8.88/6.45 tff(18406,plain,
% 8.88/6.45 (((~![B: $i] : ((~less_3(B)) | (v121(constB103, B) <=> v124(constB103, B)))) | ((~less_3(bitIndex1)) | (v121(constB103, bitIndex1) <=> v124(constB103, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB103, B) <=> v124(constB103, B)))) | (~less_3(bitIndex1)) | (v121(constB103, bitIndex1) <=> v124(constB103, bitIndex1)))),
% 8.88/6.45 inference(rewrite,[status(thm)],[])).
% 8.88/6.45 tff(18407,plain,
% 8.88/6.45 ((~![B: $i] : ((~less_3(B)) | (v121(constB103, B) <=> v124(constB103, B)))) | ((~less_3(bitIndex1)) | (v121(constB103, bitIndex1) <=> v124(constB103, bitIndex1)))),
% 8.88/6.45 inference(quant_inst,[status(thm)],[])).
% 8.88/6.45 tff(18408,plain,
% 8.88/6.45 ((~![B: $i] : ((~less_3(B)) | (v121(constB103, B) <=> v124(constB103, B)))) | (~less_3(bitIndex1)) | (v121(constB103, bitIndex1) <=> v124(constB103, bitIndex1))),
% 8.88/6.45 inference(modus_ponens,[status(thm)],[18407, 18406])).
% 8.88/6.45 tff(18409,plain,
% 8.88/6.45 (v121(constB103, bitIndex1) <=> v124(constB103, bitIndex1)),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[18408, 9785, 18338])).
% 8.88/6.45 tff(18410,plain,
% 8.88/6.45 (((~![B: $i] : ((~less_3(B)) | (v124(constB103, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v124(constB103, bitIndex1) <=> b100(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB103, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v124(constB103, bitIndex1) <=> b100(bitIndex1)))),
% 8.88/6.45 inference(rewrite,[status(thm)],[])).
% 8.88/6.45 tff(18411,plain,
% 8.88/6.45 ((~![B: $i] : ((~less_3(B)) | (v124(constB103, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v124(constB103, bitIndex1) <=> b100(bitIndex1)))),
% 8.88/6.45 inference(quant_inst,[status(thm)],[])).
% 8.88/6.45 tff(18412,plain,
% 8.88/6.45 ((~![B: $i] : ((~less_3(B)) | (v124(constB103, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v124(constB103, bitIndex1) <=> b100(bitIndex1))),
% 8.88/6.45 inference(modus_ponens,[status(thm)],[18411, 18410])).
% 8.88/6.45 tff(18413,plain,
% 8.88/6.45 (v124(constB103, bitIndex1) <=> b100(bitIndex1)),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[18412, 9785, 18347])).
% 8.88/6.45 tff(18414,plain,
% 8.88/6.45 ((~(v124(constB103, bitIndex1) <=> b100(bitIndex1))) | (~v124(constB103, bitIndex1)) | b100(bitIndex1)),
% 8.88/6.45 inference(tautology,[status(thm)],[])).
% 8.88/6.45 tff(18415,plain,
% 8.88/6.45 ((~(v124(constB103, bitIndex1) <=> b100(bitIndex1))) | (~v124(constB103, bitIndex1))),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[18414, 10585])).
% 8.88/6.45 tff(18416,plain,
% 8.88/6.45 (~v124(constB103, bitIndex1)),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[18415, 18413])).
% 8.88/6.45 tff(18417,plain,
% 8.88/6.45 ((~(v121(constB103, bitIndex1) <=> v124(constB103, bitIndex1))) | (~v121(constB103, bitIndex1)) | v124(constB103, bitIndex1)),
% 8.88/6.45 inference(tautology,[status(thm)],[])).
% 8.88/6.45 tff(18418,plain,
% 8.88/6.45 (~v121(constB103, bitIndex1)),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[18417, 18416, 18409])).
% 8.88/6.45 tff(18419,plain,
% 8.88/6.45 ((~(v123(constB104, bitIndex1) <=> v121(constB103, bitIndex1))) | (~v123(constB104, bitIndex1)) | v121(constB103, bitIndex1)),
% 8.88/6.45 inference(tautology,[status(thm)],[])).
% 8.88/6.45 tff(18420,plain,
% 8.88/6.45 (~v123(constB104, bitIndex1)),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[18419, 18418, 18405])).
% 8.88/6.45 tff(18421,plain,
% 8.88/6.45 ((~(v84(constB104, bitIndex1) <=> v123(constB104, bitIndex1))) | (~v84(constB104, bitIndex1)) | v123(constB104, bitIndex1)),
% 8.88/6.45 inference(tautology,[status(thm)],[])).
% 8.88/6.45 tff(18422,plain,
% 8.88/6.45 (~v84(constB104, bitIndex1)),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[18421, 18420, 18401])).
% 8.88/6.45 tff(18423,plain,
% 8.88/6.45 ((~(v84(constB105, bitIndex1) <=> v84(constB104, bitIndex1))) | (~v84(constB105, bitIndex1)) | v84(constB104, bitIndex1)),
% 8.88/6.45 inference(tautology,[status(thm)],[])).
% 8.88/6.45 tff(18424,plain,
% 8.88/6.45 (~v84(constB105, bitIndex1)),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[18423, 18422, 18397])).
% 8.88/6.45 tff(18425,plain,
% 8.88/6.45 ((~((~v84(constB105, bitIndex2)) | v84(constB105, bitIndex1) | v84(constB105, bitIndex0))) | (~v84(constB105, bitIndex2)) | v84(constB105, bitIndex1) | v84(constB105, bitIndex0)),
% 8.88/6.45 inference(tautology,[status(thm)],[])).
% 8.88/6.45 tff(18426,plain,
% 8.88/6.45 (~((~v84(constB105, bitIndex2)) | v84(constB105, bitIndex1) | v84(constB105, bitIndex0))),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[18425, 18424, 18393, 18362])).
% 8.88/6.45 tff(18427,plain,
% 8.88/6.45 ((~(v117(constB105) <=> (~((~v84(constB105, bitIndex2)) | v84(constB105, bitIndex1) | v84(constB105, bitIndex0))))) | v117(constB105) | ((~v84(constB105, bitIndex2)) | v84(constB105, bitIndex1) | v84(constB105, bitIndex0))),
% 8.88/6.45 inference(tautology,[status(thm)],[])).
% 8.88/6.45 tff(18428,plain,
% 8.88/6.45 (v117(constB105)),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[18427, 18426, 4980])).
% 8.88/6.45 tff(18429,plain,
% 8.88/6.45 ((v110(constB105) | v117(constB105)) | (~v117(constB105))),
% 8.88/6.45 inference(tautology,[status(thm)],[])).
% 8.88/6.45 tff(18430,plain,
% 8.88/6.45 (v110(constB105) | v117(constB105)),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[18429, 18428])).
% 8.88/6.45 tff(18431,plain,
% 8.88/6.45 ((~(v109(constB105) <=> (v110(constB105) | v117(constB105)))) | v109(constB105) | (~(v110(constB105) | v117(constB105)))),
% 8.88/6.45 inference(tautology,[status(thm)],[])).
% 8.88/6.45 tff(18432,plain,
% 8.88/6.45 (v109(constB105)),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[18431, 18430, 4973])).
% 8.88/6.45 tff(18433,plain,
% 8.88/6.45 ((v109(constB105) | v118(constB105)) | (~v109(constB105))),
% 8.88/6.45 inference(tautology,[status(thm)],[])).
% 8.88/6.45 tff(18434,plain,
% 8.88/6.45 (v109(constB105) | v118(constB105)),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[18433, 18432])).
% 8.88/6.45 tff(18435,plain,
% 8.88/6.45 ((~(v108(constB105) <=> (v109(constB105) | v118(constB105)))) | v108(constB105) | (~(v109(constB105) | v118(constB105)))),
% 8.88/6.45 inference(tautology,[status(thm)],[])).
% 8.88/6.45 tff(18436,plain,
% 8.88/6.45 (v108(constB105)),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[18435, 18434, 4971])).
% 8.88/6.45 tff(18437,plain,
% 8.88/6.45 ((v108(constB105) | v119(constB105)) | (~v108(constB105))),
% 8.88/6.45 inference(tautology,[status(thm)],[])).
% 8.88/6.45 tff(18438,plain,
% 8.88/6.45 (v108(constB105) | v119(constB105)),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[18437, 18436])).
% 8.88/6.45 tff(18439,plain,
% 8.88/6.45 ((~(v107(constB105) <=> (v108(constB105) | v119(constB105)))) | v107(constB105) | (~(v108(constB105) | v119(constB105)))),
% 8.88/6.45 inference(tautology,[status(thm)],[])).
% 8.88/6.45 tff(18440,plain,
% 8.88/6.45 (v107(constB105)),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[18439, 18438, 4969])).
% 8.88/6.45 tff(18441,plain,
% 8.88/6.45 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB105)) <=> v105(constB105))),
% 8.88/6.45 inference(quant_inst,[status(thm)],[])).
% 8.88/6.45 tff(18442,plain,
% 8.88/6.45 ((~v120(constB105)) <=> v105(constB105)),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[18441, 9842])).
% 8.88/6.45 tff(18443,plain,
% 8.88/6.45 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB105) <=> v26(constB105))),
% 8.88/6.45 inference(quant_inst,[status(thm)],[])).
% 8.88/6.45 tff(18444,plain,
% 8.88/6.45 (v105(constB105) <=> v26(constB105)),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[18443, 9854])).
% 8.88/6.45 tff(18445,plain,
% 8.88/6.45 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB105))),
% 8.88/6.45 inference(quant_inst,[status(thm)],[])).
% 8.88/6.45 tff(18446,plain,
% 8.88/6.45 (~v26(constB105)),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[18445, 9866])).
% 8.88/6.45 tff(18447,plain,
% 8.88/6.45 ((~(v105(constB105) <=> v26(constB105))) | (~v105(constB105)) | v26(constB105)),
% 8.88/6.45 inference(tautology,[status(thm)],[])).
% 8.88/6.45 tff(18448,plain,
% 8.88/6.45 ((~(v105(constB105) <=> v26(constB105))) | (~v105(constB105))),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[18447, 18446])).
% 8.88/6.45 tff(18449,plain,
% 8.88/6.45 (~v105(constB105)),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[18448, 18444])).
% 8.88/6.45 tff(18450,plain,
% 8.88/6.45 ((~((~v120(constB105)) <=> v105(constB105))) | v120(constB105) | v105(constB105)),
% 8.88/6.45 inference(tautology,[status(thm)],[])).
% 8.88/6.45 tff(18451,plain,
% 8.88/6.45 ((~((~v120(constB105)) <=> v105(constB105))) | v120(constB105)),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[18450, 18449])).
% 8.88/6.45 tff(18452,plain,
% 8.88/6.45 (v120(constB105)),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[18451, 18442])).
% 8.88/6.45 tff(18453,plain,
% 8.88/6.45 ((~((~v107(constB105)) | (~v120(constB105)))) | (~v107(constB105)) | (~v120(constB105))),
% 8.88/6.45 inference(tautology,[status(thm)],[])).
% 8.88/6.45 tff(18454,plain,
% 8.88/6.45 ((~((~v107(constB105)) | (~v120(constB105)))) | (~v107(constB105))),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[18453, 18452])).
% 8.88/6.45 tff(18455,plain,
% 8.88/6.45 (~((~v107(constB105)) | (~v120(constB105)))),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[18454, 18440])).
% 8.88/6.45 tff(18456,plain,
% 8.88/6.45 ((~(v106(constB105) <=> (~((~v107(constB105)) | (~v120(constB105)))))) | v106(constB105) | ((~v107(constB105)) | (~v120(constB105)))),
% 8.88/6.45 inference(tautology,[status(thm)],[])).
% 8.88/6.45 tff(18457,plain,
% 8.88/6.45 (v106(constB105)),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[18456, 18455, 4967])).
% 8.88/6.45 tff(18458,plain,
% 8.88/6.45 ((v105(constB105) | v106(constB105)) | (~v106(constB105))),
% 8.88/6.45 inference(tautology,[status(thm)],[])).
% 8.88/6.45 tff(18459,plain,
% 8.88/6.45 (v105(constB105) | v106(constB105)),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[18458, 18457])).
% 8.88/6.45 tff(18460,plain,
% 8.88/6.45 ((~(v102(constB105) <=> (v105(constB105) | v106(constB105)))) | v102(constB105) | (~(v105(constB105) | v106(constB105)))),
% 8.88/6.45 inference(tautology,[status(thm)],[])).
% 8.88/6.45 tff(18461,plain,
% 8.88/6.45 (v102(constB105)),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[18460, 18459, 4965])).
% 8.88/6.45 tff(18462,plain,
% 8.88/6.45 ((~(v104(constB106) <=> v102(constB105))) | v104(constB106) | (~v102(constB105))),
% 8.88/6.45 inference(tautology,[status(thm)],[])).
% 8.88/6.45 tff(18463,plain,
% 8.88/6.45 (v104(constB106)),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[18462, 18461, 4963])).
% 8.88/6.45 tff(18464,plain,
% 8.88/6.45 ((~((~v104(constB106)) | (~v95(constB106)))) | (~v104(constB106)) | (~v95(constB106))),
% 8.88/6.45 inference(tautology,[status(thm)],[])).
% 8.88/6.45 tff(18465,plain,
% 8.88/6.45 (~((~v104(constB106)) | (~v95(constB106)))),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[18464, 18463, 4959])).
% 8.88/6.45 tff(18466,plain,
% 8.88/6.45 ((~(v94(constB106) <=> (~((~v104(constB106)) | (~v95(constB106)))))) | v94(constB106) | ((~v104(constB106)) | (~v95(constB106)))),
% 8.88/6.45 inference(tautology,[status(thm)],[])).
% 8.88/6.45 tff(18467,plain,
% 8.88/6.45 (v94(constB106)),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[18466, 18465, 4928])).
% 8.88/6.45 tff(18468,plain,
% 8.88/6.45 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB106)) | ![B: $i] : ((~less_3(B)) | (v84(constB106, B) <=> v123(constB106, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB106)) | ![B: $i] : ((~less_3(B)) | (v84(constB106, B) <=> v123(constB106, B))))),
% 8.88/6.45 inference(rewrite,[status(thm)],[])).
% 8.88/6.45 tff(18469,plain,
% 8.88/6.45 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB106)) | ![B: $i] : ((~less_3(B)) | (v84(constB106, B) <=> v123(constB106, B))))),
% 8.88/6.45 inference(quant_inst,[status(thm)],[])).
% 8.88/6.45 tff(18470,plain,
% 8.88/6.45 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB106)) | ![B: $i] : ((~less_3(B)) | (v84(constB106, B) <=> v123(constB106, B)))),
% 8.88/6.45 inference(modus_ponens,[status(thm)],[18469, 18468])).
% 8.88/6.45 tff(18471,plain,
% 8.88/6.45 ((~v94(constB106)) | ![B: $i] : ((~less_3(B)) | (v84(constB106, B) <=> v123(constB106, B)))),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[18470, 9902])).
% 8.88/6.45 tff(18472,plain,
% 8.88/6.45 (![B: $i] : ((~less_3(B)) | (v84(constB106, B) <=> v123(constB106, B)))),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[18471, 18467])).
% 8.88/6.45 tff(18473,plain,
% 8.88/6.45 (((~![B: $i] : ((~less_3(B)) | (v84(constB106, B) <=> v123(constB106, B)))) | ((~less_3(bitIndex2)) | (v84(constB106, bitIndex2) <=> v123(constB106, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB106, B) <=> v123(constB106, B)))) | (~less_3(bitIndex2)) | (v84(constB106, bitIndex2) <=> v123(constB106, bitIndex2)))),
% 8.88/6.45 inference(rewrite,[status(thm)],[])).
% 8.88/6.45 tff(18474,plain,
% 8.88/6.45 ((~![B: $i] : ((~less_3(B)) | (v84(constB106, B) <=> v123(constB106, B)))) | ((~less_3(bitIndex2)) | (v84(constB106, bitIndex2) <=> v123(constB106, bitIndex2)))),
% 8.88/6.45 inference(quant_inst,[status(thm)],[])).
% 8.88/6.45 tff(18475,plain,
% 8.88/6.45 ((~![B: $i] : ((~less_3(B)) | (v84(constB106, B) <=> v123(constB106, B)))) | (~less_3(bitIndex2)) | (v84(constB106, bitIndex2) <=> v123(constB106, bitIndex2))),
% 8.88/6.45 inference(modus_ponens,[status(thm)],[18474, 18473])).
% 8.88/6.45 tff(18476,plain,
% 8.88/6.45 (v84(constB106, bitIndex2) <=> v123(constB106, bitIndex2)),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[18475, 832, 18472])).
% 8.88/6.45 tff(18477,plain,
% 8.88/6.45 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB105, constB106)) | ![B: $i] : ((~less_3(B)) | (v123(constB106, B) <=> v121(constB105, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB105, constB106)) | ![B: $i] : ((~less_3(B)) | (v123(constB106, B) <=> v121(constB105, B))))),
% 8.88/6.45 inference(rewrite,[status(thm)],[])).
% 8.88/6.45 tff(18478,plain,
% 8.88/6.45 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB105, constB106)) | ![B: $i] : ((~less_3(B)) | (v123(constB106, B) <=> v121(constB105, B))))),
% 8.88/6.45 inference(quant_inst,[status(thm)],[])).
% 8.88/6.45 tff(18479,plain,
% 8.88/6.45 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB105, constB106)) | ![B: $i] : ((~less_3(B)) | (v123(constB106, B) <=> v121(constB105, B)))),
% 8.88/6.45 inference(modus_ponens,[status(thm)],[18478, 18477])).
% 8.88/6.45 tff(18480,plain,
% 8.88/6.45 (![B: $i] : ((~less_3(B)) | (v123(constB106, B) <=> v121(constB105, B)))),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[18479, 4924, 9924])).
% 8.88/6.45 tff(18481,plain,
% 8.88/6.45 (((~![B: $i] : ((~less_3(B)) | (v123(constB106, B) <=> v121(constB105, B)))) | ((~less_3(bitIndex2)) | (v123(constB106, bitIndex2) <=> v121(constB105, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB106, B) <=> v121(constB105, B)))) | (~less_3(bitIndex2)) | (v123(constB106, bitIndex2) <=> v121(constB105, bitIndex2)))),
% 8.88/6.45 inference(rewrite,[status(thm)],[])).
% 8.88/6.45 tff(18482,plain,
% 8.88/6.45 ((~![B: $i] : ((~less_3(B)) | (v123(constB106, B) <=> v121(constB105, B)))) | ((~less_3(bitIndex2)) | (v123(constB106, bitIndex2) <=> v121(constB105, bitIndex2)))),
% 8.88/6.45 inference(quant_inst,[status(thm)],[])).
% 8.88/6.45 tff(18483,plain,
% 8.88/6.45 ((~![B: $i] : ((~less_3(B)) | (v123(constB106, B) <=> v121(constB105, B)))) | (~less_3(bitIndex2)) | (v123(constB106, bitIndex2) <=> v121(constB105, bitIndex2))),
% 8.88/6.45 inference(modus_ponens,[status(thm)],[18482, 18481])).
% 8.88/6.45 tff(18484,plain,
% 8.88/6.45 (v123(constB106, bitIndex2) <=> v121(constB105, bitIndex2)),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[18483, 832, 18480])).
% 8.88/6.45 tff(18485,plain,
% 8.88/6.45 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB105) | ![B: $i] : ((~less_3(B)) | (v121(constB105, B) <=> v124(constB105, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB105) | ![B: $i] : ((~less_3(B)) | (v121(constB105, B) <=> v124(constB105, B))))),
% 8.88/6.45 inference(rewrite,[status(thm)],[])).
% 8.88/6.45 tff(18486,plain,
% 8.88/6.45 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB105) | ![B: $i] : ((~less_3(B)) | (v121(constB105, B) <=> v124(constB105, B))))),
% 8.88/6.45 inference(quant_inst,[status(thm)],[])).
% 8.88/6.45 tff(18487,plain,
% 8.88/6.45 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB105) | ![B: $i] : ((~less_3(B)) | (v121(constB105, B) <=> v124(constB105, B)))),
% 8.88/6.45 inference(modus_ponens,[status(thm)],[18486, 18485])).
% 8.88/6.45 tff(18488,plain,
% 8.88/6.45 (![B: $i] : ((~less_3(B)) | (v121(constB105, B) <=> v124(constB105, B)))),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[18487, 9945, 18449])).
% 8.88/6.45 tff(18489,plain,
% 8.88/6.45 (((~![B: $i] : ((~less_3(B)) | (v121(constB105, B) <=> v124(constB105, B)))) | ((~less_3(bitIndex2)) | (v121(constB105, bitIndex2) <=> v124(constB105, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB105, B) <=> v124(constB105, B)))) | (~less_3(bitIndex2)) | (v121(constB105, bitIndex2) <=> v124(constB105, bitIndex2)))),
% 8.88/6.45 inference(rewrite,[status(thm)],[])).
% 8.88/6.45 tff(18490,plain,
% 8.88/6.45 ((~![B: $i] : ((~less_3(B)) | (v121(constB105, B) <=> v124(constB105, B)))) | ((~less_3(bitIndex2)) | (v121(constB105, bitIndex2) <=> v124(constB105, bitIndex2)))),
% 8.88/6.45 inference(quant_inst,[status(thm)],[])).
% 8.88/6.45 tff(18491,plain,
% 8.88/6.45 ((~![B: $i] : ((~less_3(B)) | (v121(constB105, B) <=> v124(constB105, B)))) | (~less_3(bitIndex2)) | (v121(constB105, bitIndex2) <=> v124(constB105, bitIndex2))),
% 8.88/6.45 inference(modus_ponens,[status(thm)],[18490, 18489])).
% 8.88/6.45 tff(18492,plain,
% 8.88/6.45 (v121(constB105, bitIndex2) <=> v124(constB105, bitIndex2)),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[18491, 832, 18488])).
% 8.88/6.45 tff(18493,plain,
% 8.88/6.45 (((~![VarCurr: $i] : ((~v117(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b101(B))))) | ((~v117(constB105)) | ![B: $i] : ((~less_3(B)) | (v124(constB105, B) <=> b101(B))))) <=> ((~![VarCurr: $i] : ((~v117(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b101(B))))) | (~v117(constB105)) | ![B: $i] : ((~less_3(B)) | (v124(constB105, B) <=> b101(B))))),
% 8.88/6.45 inference(rewrite,[status(thm)],[])).
% 8.88/6.45 tff(18494,plain,
% 8.88/6.45 ((~![VarCurr: $i] : ((~v117(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b101(B))))) | ((~v117(constB105)) | ![B: $i] : ((~less_3(B)) | (v124(constB105, B) <=> b101(B))))),
% 8.88/6.45 inference(quant_inst,[status(thm)],[])).
% 8.88/6.45 tff(18495,plain,
% 8.88/6.45 ((~![VarCurr: $i] : ((~v117(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b101(B))))) | (~v117(constB105)) | ![B: $i] : ((~less_3(B)) | (v124(constB105, B) <=> b101(B)))),
% 8.88/6.45 inference(modus_ponens,[status(thm)],[18494, 18493])).
% 8.88/6.45 tff(18496,plain,
% 8.88/6.45 ((~v117(constB105)) | ![B: $i] : ((~less_3(B)) | (v124(constB105, B) <=> b101(B)))),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[18495, 10677])).
% 8.88/6.45 tff(18497,plain,
% 8.88/6.45 (![B: $i] : ((~less_3(B)) | (v124(constB105, B) <=> b101(B)))),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[18496, 18428])).
% 8.88/6.45 tff(18498,plain,
% 8.88/6.45 (((~![B: $i] : ((~less_3(B)) | (v124(constB105, B) <=> b101(B)))) | ((~less_3(bitIndex2)) | (v124(constB105, bitIndex2) <=> b101(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB105, B) <=> b101(B)))) | (~less_3(bitIndex2)) | (v124(constB105, bitIndex2) <=> b101(bitIndex2)))),
% 8.88/6.45 inference(rewrite,[status(thm)],[])).
% 8.88/6.45 tff(18499,plain,
% 8.88/6.45 ((~![B: $i] : ((~less_3(B)) | (v124(constB105, B) <=> b101(B)))) | ((~less_3(bitIndex2)) | (v124(constB105, bitIndex2) <=> b101(bitIndex2)))),
% 8.88/6.45 inference(quant_inst,[status(thm)],[])).
% 8.88/6.45 tff(18500,plain,
% 8.88/6.45 ((~![B: $i] : ((~less_3(B)) | (v124(constB105, B) <=> b101(B)))) | (~less_3(bitIndex2)) | (v124(constB105, bitIndex2) <=> b101(bitIndex2))),
% 8.88/6.45 inference(modus_ponens,[status(thm)],[18499, 18498])).
% 8.88/6.45 tff(18501,plain,
% 8.88/6.45 (v124(constB105, bitIndex2) <=> b101(bitIndex2)),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[18500, 832, 18497])).
% 8.88/6.45 tff(18502,plain,
% 8.88/6.45 ((~(v124(constB105, bitIndex2) <=> b101(bitIndex2))) | v124(constB105, bitIndex2) | (~b101(bitIndex2))),
% 8.88/6.45 inference(tautology,[status(thm)],[])).
% 8.88/6.45 tff(18503,plain,
% 8.88/6.45 ((~(v124(constB105, bitIndex2) <=> b101(bitIndex2))) | v124(constB105, bitIndex2)),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[18502, 10689])).
% 8.88/6.45 tff(18504,plain,
% 8.88/6.45 (v124(constB105, bitIndex2)),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[18503, 18501])).
% 8.88/6.45 tff(18505,plain,
% 8.88/6.45 ((~(v121(constB105, bitIndex2) <=> v124(constB105, bitIndex2))) | v121(constB105, bitIndex2) | (~v124(constB105, bitIndex2))),
% 8.88/6.45 inference(tautology,[status(thm)],[])).
% 8.88/6.45 tff(18506,plain,
% 8.88/6.45 (v121(constB105, bitIndex2)),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[18505, 18504, 18492])).
% 8.88/6.45 tff(18507,plain,
% 8.88/6.45 ((~(v123(constB106, bitIndex2) <=> v121(constB105, bitIndex2))) | v123(constB106, bitIndex2) | (~v121(constB105, bitIndex2))),
% 8.88/6.45 inference(tautology,[status(thm)],[])).
% 8.88/6.45 tff(18508,plain,
% 8.88/6.45 (v123(constB106, bitIndex2)),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[18507, 18506, 18484])).
% 8.88/6.45 tff(18509,plain,
% 8.88/6.45 ((~(v84(constB106, bitIndex2) <=> v123(constB106, bitIndex2))) | v84(constB106, bitIndex2) | (~v123(constB106, bitIndex2))),
% 8.88/6.45 inference(tautology,[status(thm)],[])).
% 8.88/6.45 tff(18510,plain,
% 8.88/6.45 (v84(constB106, bitIndex2)),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[18509, 18508, 18476])).
% 8.88/6.45 tff(18511,plain,
% 8.88/6.45 ((~(v84(constB107, bitIndex2) <=> v84(constB106, bitIndex2))) | v84(constB107, bitIndex2) | (~v84(constB106, bitIndex2))),
% 8.88/6.45 inference(tautology,[status(thm)],[])).
% 8.88/6.45 tff(18512,plain,
% 8.88/6.45 (v84(constB107, bitIndex2)),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[18511, 18510, 4921])).
% 8.88/6.45 tff(18513,plain,
% 8.88/6.45 (((~![B: $i] : ((~less_3(B)) | (v84(constB107, B) <=> v84(constB106, B)))) | ((~less_3(bitIndex0)) | (v84(constB107, bitIndex0) <=> v84(constB106, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB107, B) <=> v84(constB106, B)))) | (~less_3(bitIndex0)) | (v84(constB107, bitIndex0) <=> v84(constB106, bitIndex0)))),
% 8.88/6.45 inference(rewrite,[status(thm)],[])).
% 8.88/6.45 tff(18514,plain,
% 8.88/6.45 ((~![B: $i] : ((~less_3(B)) | (v84(constB107, B) <=> v84(constB106, B)))) | ((~less_3(bitIndex0)) | (v84(constB107, bitIndex0) <=> v84(constB106, bitIndex0)))),
% 8.88/6.45 inference(quant_inst,[status(thm)],[])).
% 8.88/6.45 tff(18515,plain,
% 8.88/6.45 ((~![B: $i] : ((~less_3(B)) | (v84(constB107, B) <=> v84(constB106, B)))) | (~less_3(bitIndex0)) | (v84(constB107, bitIndex0) <=> v84(constB106, bitIndex0))),
% 8.88/6.45 inference(modus_ponens,[status(thm)],[18514, 18513])).
% 8.88/6.45 tff(18516,plain,
% 8.88/6.45 (v84(constB107, bitIndex0) <=> v84(constB106, bitIndex0)),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[18515, 9772, 4917])).
% 8.88/6.45 tff(18517,plain,
% 8.88/6.45 (((~![B: $i] : ((~less_3(B)) | (v84(constB106, B) <=> v123(constB106, B)))) | ((~less_3(bitIndex0)) | (v84(constB106, bitIndex0) <=> v123(constB106, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB106, B) <=> v123(constB106, B)))) | (~less_3(bitIndex0)) | (v84(constB106, bitIndex0) <=> v123(constB106, bitIndex0)))),
% 8.88/6.45 inference(rewrite,[status(thm)],[])).
% 8.88/6.45 tff(18518,plain,
% 8.88/6.45 ((~![B: $i] : ((~less_3(B)) | (v84(constB106, B) <=> v123(constB106, B)))) | ((~less_3(bitIndex0)) | (v84(constB106, bitIndex0) <=> v123(constB106, bitIndex0)))),
% 8.88/6.45 inference(quant_inst,[status(thm)],[])).
% 8.88/6.45 tff(18519,plain,
% 8.88/6.45 ((~![B: $i] : ((~less_3(B)) | (v84(constB106, B) <=> v123(constB106, B)))) | (~less_3(bitIndex0)) | (v84(constB106, bitIndex0) <=> v123(constB106, bitIndex0))),
% 8.88/6.45 inference(modus_ponens,[status(thm)],[18518, 18517])).
% 8.88/6.45 tff(18520,plain,
% 8.88/6.45 (v84(constB106, bitIndex0) <=> v123(constB106, bitIndex0)),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[18519, 9772, 18472])).
% 8.88/6.45 tff(18521,plain,
% 8.88/6.45 (((~![B: $i] : ((~less_3(B)) | (v123(constB106, B) <=> v121(constB105, B)))) | ((~less_3(bitIndex0)) | (v123(constB106, bitIndex0) <=> v121(constB105, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB106, B) <=> v121(constB105, B)))) | (~less_3(bitIndex0)) | (v123(constB106, bitIndex0) <=> v121(constB105, bitIndex0)))),
% 8.88/6.45 inference(rewrite,[status(thm)],[])).
% 8.88/6.45 tff(18522,plain,
% 8.88/6.45 ((~![B: $i] : ((~less_3(B)) | (v123(constB106, B) <=> v121(constB105, B)))) | ((~less_3(bitIndex0)) | (v123(constB106, bitIndex0) <=> v121(constB105, bitIndex0)))),
% 8.88/6.45 inference(quant_inst,[status(thm)],[])).
% 8.88/6.45 tff(18523,plain,
% 8.88/6.45 ((~![B: $i] : ((~less_3(B)) | (v123(constB106, B) <=> v121(constB105, B)))) | (~less_3(bitIndex0)) | (v123(constB106, bitIndex0) <=> v121(constB105, bitIndex0))),
% 8.88/6.45 inference(modus_ponens,[status(thm)],[18522, 18521])).
% 8.88/6.45 tff(18524,plain,
% 8.88/6.45 (v123(constB106, bitIndex0) <=> v121(constB105, bitIndex0)),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[18523, 9772, 18480])).
% 8.88/6.45 tff(18525,plain,
% 8.88/6.45 (((~![B: $i] : ((~less_3(B)) | (v121(constB105, B) <=> v124(constB105, B)))) | ((~less_3(bitIndex0)) | (v121(constB105, bitIndex0) <=> v124(constB105, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB105, B) <=> v124(constB105, B)))) | (~less_3(bitIndex0)) | (v121(constB105, bitIndex0) <=> v124(constB105, bitIndex0)))),
% 8.88/6.45 inference(rewrite,[status(thm)],[])).
% 8.88/6.45 tff(18526,plain,
% 8.88/6.45 ((~![B: $i] : ((~less_3(B)) | (v121(constB105, B) <=> v124(constB105, B)))) | ((~less_3(bitIndex0)) | (v121(constB105, bitIndex0) <=> v124(constB105, bitIndex0)))),
% 8.88/6.45 inference(quant_inst,[status(thm)],[])).
% 8.88/6.45 tff(18527,plain,
% 8.88/6.45 ((~![B: $i] : ((~less_3(B)) | (v121(constB105, B) <=> v124(constB105, B)))) | (~less_3(bitIndex0)) | (v121(constB105, bitIndex0) <=> v124(constB105, bitIndex0))),
% 8.88/6.45 inference(modus_ponens,[status(thm)],[18526, 18525])).
% 8.88/6.45 tff(18528,plain,
% 8.88/6.45 (v121(constB105, bitIndex0) <=> v124(constB105, bitIndex0)),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[18527, 9772, 18488])).
% 8.88/6.45 tff(18529,plain,
% 8.88/6.45 (((~![B: $i] : ((~less_3(B)) | (v124(constB105, B) <=> b101(B)))) | ((~less_3(bitIndex0)) | (v124(constB105, bitIndex0) <=> b101(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB105, B) <=> b101(B)))) | (~less_3(bitIndex0)) | (v124(constB105, bitIndex0) <=> b101(bitIndex0)))),
% 8.88/6.45 inference(rewrite,[status(thm)],[])).
% 8.88/6.45 tff(18530,plain,
% 8.88/6.45 ((~![B: $i] : ((~less_3(B)) | (v124(constB105, B) <=> b101(B)))) | ((~less_3(bitIndex0)) | (v124(constB105, bitIndex0) <=> b101(bitIndex0)))),
% 8.88/6.45 inference(quant_inst,[status(thm)],[])).
% 8.88/6.45 tff(18531,plain,
% 8.88/6.45 ((~![B: $i] : ((~less_3(B)) | (v124(constB105, B) <=> b101(B)))) | (~less_3(bitIndex0)) | (v124(constB105, bitIndex0) <=> b101(bitIndex0))),
% 8.88/6.45 inference(modus_ponens,[status(thm)],[18530, 18529])).
% 8.88/6.45 tff(18532,plain,
% 8.88/6.45 (v124(constB105, bitIndex0) <=> b101(bitIndex0)),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[18531, 9772, 18497])).
% 8.88/6.45 tff(18533,plain,
% 8.88/6.45 ((~(v124(constB105, bitIndex0) <=> b101(bitIndex0))) | v124(constB105, bitIndex0) | (~b101(bitIndex0))),
% 8.88/6.45 inference(tautology,[status(thm)],[])).
% 8.88/6.45 tff(18534,plain,
% 8.88/6.45 ((~(v124(constB105, bitIndex0) <=> b101(bitIndex0))) | v124(constB105, bitIndex0)),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[18533, 10723])).
% 8.88/6.45 tff(18535,plain,
% 8.88/6.45 (v124(constB105, bitIndex0)),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[18534, 18532])).
% 8.88/6.45 tff(18536,plain,
% 8.88/6.45 ((~(v121(constB105, bitIndex0) <=> v124(constB105, bitIndex0))) | v121(constB105, bitIndex0) | (~v124(constB105, bitIndex0))),
% 8.88/6.45 inference(tautology,[status(thm)],[])).
% 8.88/6.45 tff(18537,plain,
% 8.88/6.45 (v121(constB105, bitIndex0)),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[18536, 18535, 18528])).
% 8.88/6.45 tff(18538,plain,
% 8.88/6.45 ((~(v123(constB106, bitIndex0) <=> v121(constB105, bitIndex0))) | v123(constB106, bitIndex0) | (~v121(constB105, bitIndex0))),
% 8.88/6.45 inference(tautology,[status(thm)],[])).
% 8.88/6.45 tff(18539,plain,
% 8.88/6.45 (v123(constB106, bitIndex0)),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[18538, 18537, 18524])).
% 8.88/6.45 tff(18540,plain,
% 8.88/6.45 ((~(v84(constB106, bitIndex0) <=> v123(constB106, bitIndex0))) | v84(constB106, bitIndex0) | (~v123(constB106, bitIndex0))),
% 8.88/6.45 inference(tautology,[status(thm)],[])).
% 8.88/6.45 tff(18541,plain,
% 8.88/6.45 (v84(constB106, bitIndex0)),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[18540, 18539, 18520])).
% 8.88/6.45 tff(18542,plain,
% 8.88/6.45 ((~(v84(constB107, bitIndex0) <=> v84(constB106, bitIndex0))) | v84(constB107, bitIndex0) | (~v84(constB106, bitIndex0))),
% 8.88/6.45 inference(tautology,[status(thm)],[])).
% 8.88/6.45 tff(18543,plain,
% 8.88/6.45 (v84(constB107, bitIndex0)),
% 8.88/6.45 inference(unit_resolution,[status(thm)],[18542, 18541, 18516])).
% 8.88/6.45 tff(18544,plain,
% 8.88/6.45 (((~![B: $i] : ((~less_3(B)) | (v84(constB107, B) <=> v84(constB106, B)))) | ((~less_3(bitIndex1)) | (v84(constB107, bitIndex1) <=> v84(constB106, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB107, B) <=> v84(constB106, B)))) | (~less_3(bitIndex1)) | (v84(constB107, bitIndex1) <=> v84(constB106, bitIndex1)))),
% 8.88/6.45 inference(rewrite,[status(thm)],[])).
% 8.88/6.45 tff(18545,plain,
% 8.88/6.45 ((~![B: $i] : ((~less_3(B)) | (v84(constB107, B) <=> v84(constB106, B)))) | ((~less_3(bitIndex1)) | (v84(constB107, bitIndex1) <=> v84(constB106, bitIndex1)))),
% 8.88/6.46 inference(quant_inst,[status(thm)],[])).
% 8.88/6.46 tff(18546,plain,
% 8.88/6.46 ((~![B: $i] : ((~less_3(B)) | (v84(constB107, B) <=> v84(constB106, B)))) | (~less_3(bitIndex1)) | (v84(constB107, bitIndex1) <=> v84(constB106, bitIndex1))),
% 8.88/6.46 inference(modus_ponens,[status(thm)],[18545, 18544])).
% 8.88/6.46 tff(18547,plain,
% 8.88/6.46 (v84(constB107, bitIndex1) <=> v84(constB106, bitIndex1)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[18546, 9785, 4917])).
% 8.88/6.46 tff(18548,plain,
% 8.88/6.46 (((~![B: $i] : ((~less_3(B)) | (v84(constB106, B) <=> v123(constB106, B)))) | ((~less_3(bitIndex1)) | (v84(constB106, bitIndex1) <=> v123(constB106, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB106, B) <=> v123(constB106, B)))) | (~less_3(bitIndex1)) | (v84(constB106, bitIndex1) <=> v123(constB106, bitIndex1)))),
% 8.88/6.46 inference(rewrite,[status(thm)],[])).
% 8.88/6.46 tff(18549,plain,
% 8.88/6.46 ((~![B: $i] : ((~less_3(B)) | (v84(constB106, B) <=> v123(constB106, B)))) | ((~less_3(bitIndex1)) | (v84(constB106, bitIndex1) <=> v123(constB106, bitIndex1)))),
% 8.88/6.46 inference(quant_inst,[status(thm)],[])).
% 8.88/6.46 tff(18550,plain,
% 8.88/6.46 ((~![B: $i] : ((~less_3(B)) | (v84(constB106, B) <=> v123(constB106, B)))) | (~less_3(bitIndex1)) | (v84(constB106, bitIndex1) <=> v123(constB106, bitIndex1))),
% 8.88/6.46 inference(modus_ponens,[status(thm)],[18549, 18548])).
% 8.88/6.46 tff(18551,plain,
% 8.88/6.46 (v84(constB106, bitIndex1) <=> v123(constB106, bitIndex1)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[18550, 9785, 18472])).
% 8.88/6.46 tff(18552,plain,
% 8.88/6.46 (((~![B: $i] : ((~less_3(B)) | (v123(constB106, B) <=> v121(constB105, B)))) | ((~less_3(bitIndex1)) | (v123(constB106, bitIndex1) <=> v121(constB105, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB106, B) <=> v121(constB105, B)))) | (~less_3(bitIndex1)) | (v123(constB106, bitIndex1) <=> v121(constB105, bitIndex1)))),
% 8.88/6.46 inference(rewrite,[status(thm)],[])).
% 8.88/6.46 tff(18553,plain,
% 8.88/6.46 ((~![B: $i] : ((~less_3(B)) | (v123(constB106, B) <=> v121(constB105, B)))) | ((~less_3(bitIndex1)) | (v123(constB106, bitIndex1) <=> v121(constB105, bitIndex1)))),
% 8.88/6.46 inference(quant_inst,[status(thm)],[])).
% 8.88/6.46 tff(18554,plain,
% 8.88/6.46 ((~![B: $i] : ((~less_3(B)) | (v123(constB106, B) <=> v121(constB105, B)))) | (~less_3(bitIndex1)) | (v123(constB106, bitIndex1) <=> v121(constB105, bitIndex1))),
% 8.88/6.46 inference(modus_ponens,[status(thm)],[18553, 18552])).
% 8.88/6.46 tff(18555,plain,
% 8.88/6.46 (v123(constB106, bitIndex1) <=> v121(constB105, bitIndex1)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[18554, 9785, 18480])).
% 8.88/6.46 tff(18556,plain,
% 8.88/6.46 (((~![B: $i] : ((~less_3(B)) | (v121(constB105, B) <=> v124(constB105, B)))) | ((~less_3(bitIndex1)) | (v121(constB105, bitIndex1) <=> v124(constB105, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB105, B) <=> v124(constB105, B)))) | (~less_3(bitIndex1)) | (v121(constB105, bitIndex1) <=> v124(constB105, bitIndex1)))),
% 8.88/6.46 inference(rewrite,[status(thm)],[])).
% 8.88/6.46 tff(18557,plain,
% 8.88/6.46 ((~![B: $i] : ((~less_3(B)) | (v121(constB105, B) <=> v124(constB105, B)))) | ((~less_3(bitIndex1)) | (v121(constB105, bitIndex1) <=> v124(constB105, bitIndex1)))),
% 8.88/6.46 inference(quant_inst,[status(thm)],[])).
% 8.88/6.46 tff(18558,plain,
% 8.88/6.46 ((~![B: $i] : ((~less_3(B)) | (v121(constB105, B) <=> v124(constB105, B)))) | (~less_3(bitIndex1)) | (v121(constB105, bitIndex1) <=> v124(constB105, bitIndex1))),
% 8.88/6.46 inference(modus_ponens,[status(thm)],[18557, 18556])).
% 8.88/6.46 tff(18559,plain,
% 8.88/6.46 (v121(constB105, bitIndex1) <=> v124(constB105, bitIndex1)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[18558, 9785, 18488])).
% 8.88/6.46 tff(18560,plain,
% 8.88/6.46 (((~![B: $i] : ((~less_3(B)) | (v124(constB105, B) <=> b101(B)))) | ((~less_3(bitIndex1)) | (v124(constB105, bitIndex1) <=> b101(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB105, B) <=> b101(B)))) | (~less_3(bitIndex1)) | (v124(constB105, bitIndex1) <=> b101(bitIndex1)))),
% 8.88/6.46 inference(rewrite,[status(thm)],[])).
% 8.88/6.46 tff(18561,plain,
% 8.88/6.46 ((~![B: $i] : ((~less_3(B)) | (v124(constB105, B) <=> b101(B)))) | ((~less_3(bitIndex1)) | (v124(constB105, bitIndex1) <=> b101(bitIndex1)))),
% 8.88/6.46 inference(quant_inst,[status(thm)],[])).
% 8.88/6.46 tff(18562,plain,
% 8.88/6.46 ((~![B: $i] : ((~less_3(B)) | (v124(constB105, B) <=> b101(B)))) | (~less_3(bitIndex1)) | (v124(constB105, bitIndex1) <=> b101(bitIndex1))),
% 8.88/6.46 inference(modus_ponens,[status(thm)],[18561, 18560])).
% 8.88/6.46 tff(18563,plain,
% 8.88/6.46 (v124(constB105, bitIndex1) <=> b101(bitIndex1)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[18562, 9785, 18497])).
% 8.88/6.46 tff(18564,plain,
% 8.88/6.46 ((~(v124(constB105, bitIndex1) <=> b101(bitIndex1))) | (~v124(constB105, bitIndex1)) | b101(bitIndex1)),
% 8.88/6.46 inference(tautology,[status(thm)],[])).
% 8.88/6.46 tff(18565,plain,
% 8.88/6.46 ((~(v124(constB105, bitIndex1) <=> b101(bitIndex1))) | (~v124(constB105, bitIndex1))),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[18564, 10757])).
% 8.88/6.46 tff(18566,plain,
% 8.88/6.46 (~v124(constB105, bitIndex1)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[18565, 18563])).
% 8.88/6.46 tff(18567,plain,
% 8.88/6.46 ((~(v121(constB105, bitIndex1) <=> v124(constB105, bitIndex1))) | (~v121(constB105, bitIndex1)) | v124(constB105, bitIndex1)),
% 8.88/6.46 inference(tautology,[status(thm)],[])).
% 8.88/6.46 tff(18568,plain,
% 8.88/6.46 (~v121(constB105, bitIndex1)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[18567, 18566, 18559])).
% 8.88/6.46 tff(18569,plain,
% 8.88/6.46 ((~(v123(constB106, bitIndex1) <=> v121(constB105, bitIndex1))) | (~v123(constB106, bitIndex1)) | v121(constB105, bitIndex1)),
% 8.88/6.46 inference(tautology,[status(thm)],[])).
% 8.88/6.46 tff(18570,plain,
% 8.88/6.46 (~v123(constB106, bitIndex1)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[18569, 18568, 18555])).
% 8.88/6.46 tff(18571,plain,
% 8.88/6.46 ((~(v84(constB106, bitIndex1) <=> v123(constB106, bitIndex1))) | (~v84(constB106, bitIndex1)) | v123(constB106, bitIndex1)),
% 8.88/6.46 inference(tautology,[status(thm)],[])).
% 8.88/6.46 tff(18572,plain,
% 8.88/6.46 (~v84(constB106, bitIndex1)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[18571, 18570, 18551])).
% 8.88/6.46 tff(18573,plain,
% 8.88/6.46 ((~(v84(constB107, bitIndex1) <=> v84(constB106, bitIndex1))) | (~v84(constB107, bitIndex1)) | v84(constB106, bitIndex1)),
% 8.88/6.46 inference(tautology,[status(thm)],[])).
% 8.88/6.46 tff(18574,plain,
% 8.88/6.46 (~v84(constB107, bitIndex1)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[18573, 18572, 18547])).
% 8.88/6.46 tff(18575,plain,
% 8.88/6.46 ((~((~v84(constB107, bitIndex2)) | v84(constB107, bitIndex1) | (~v84(constB107, bitIndex0)))) | (~v84(constB107, bitIndex2)) | v84(constB107, bitIndex1) | (~v84(constB107, bitIndex0))),
% 8.88/6.46 inference(tautology,[status(thm)],[])).
% 8.88/6.46 tff(18576,plain,
% 8.88/6.46 (~((~v84(constB107, bitIndex2)) | v84(constB107, bitIndex1) | (~v84(constB107, bitIndex0)))),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[18575, 18574, 18543, 18512])).
% 8.88/6.46 tff(18577,plain,
% 8.88/6.46 ((~(v118(constB107) <=> (~((~v84(constB107, bitIndex2)) | v84(constB107, bitIndex1) | (~v84(constB107, bitIndex0)))))) | v118(constB107) | ((~v84(constB107, bitIndex2)) | v84(constB107, bitIndex1) | (~v84(constB107, bitIndex0)))),
% 8.88/6.46 inference(tautology,[status(thm)],[])).
% 8.88/6.46 tff(18578,plain,
% 8.88/6.46 (v118(constB107)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[18577, 18576, 4889])).
% 8.88/6.46 tff(18579,plain,
% 8.88/6.46 ((v109(constB107) | v118(constB107)) | (~v118(constB107))),
% 8.88/6.46 inference(tautology,[status(thm)],[])).
% 8.88/6.46 tff(18580,plain,
% 8.88/6.46 (v109(constB107) | v118(constB107)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[18579, 18578])).
% 8.88/6.46 tff(18581,plain,
% 8.88/6.46 ((~(v108(constB107) <=> (v109(constB107) | v118(constB107)))) | v108(constB107) | (~(v109(constB107) | v118(constB107)))),
% 8.88/6.46 inference(tautology,[status(thm)],[])).
% 8.88/6.46 tff(18582,plain,
% 8.88/6.46 (v108(constB107)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[18581, 18580, 4882])).
% 8.88/6.46 tff(18583,plain,
% 8.88/6.46 ((v108(constB107) | v119(constB107)) | (~v108(constB107))),
% 8.88/6.46 inference(tautology,[status(thm)],[])).
% 8.88/6.46 tff(18584,plain,
% 8.88/6.46 (v108(constB107) | v119(constB107)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[18583, 18582])).
% 8.88/6.46 tff(18585,plain,
% 8.88/6.46 ((~(v107(constB107) <=> (v108(constB107) | v119(constB107)))) | v107(constB107) | (~(v108(constB107) | v119(constB107)))),
% 8.88/6.46 inference(tautology,[status(thm)],[])).
% 8.88/6.46 tff(18586,plain,
% 8.88/6.46 (v107(constB107)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[18585, 18584, 4880])).
% 8.88/6.46 tff(18587,plain,
% 8.88/6.46 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB107)) <=> v105(constB107))),
% 8.88/6.46 inference(quant_inst,[status(thm)],[])).
% 8.88/6.46 tff(18588,plain,
% 8.88/6.46 ((~v120(constB107)) <=> v105(constB107)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[18587, 9842])).
% 8.88/6.46 tff(18589,plain,
% 8.88/6.46 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB107) <=> v26(constB107))),
% 8.88/6.46 inference(quant_inst,[status(thm)],[])).
% 8.88/6.46 tff(18590,plain,
% 8.88/6.46 (v105(constB107) <=> v26(constB107)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[18589, 9854])).
% 8.88/6.46 tff(18591,plain,
% 8.88/6.46 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB107))),
% 8.88/6.46 inference(quant_inst,[status(thm)],[])).
% 8.88/6.46 tff(18592,plain,
% 8.88/6.46 (~v26(constB107)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[18591, 9866])).
% 8.88/6.46 tff(18593,plain,
% 8.88/6.46 ((~(v105(constB107) <=> v26(constB107))) | (~v105(constB107)) | v26(constB107)),
% 8.88/6.46 inference(tautology,[status(thm)],[])).
% 8.88/6.46 tff(18594,plain,
% 8.88/6.46 ((~(v105(constB107) <=> v26(constB107))) | (~v105(constB107))),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[18593, 18592])).
% 8.88/6.46 tff(18595,plain,
% 8.88/6.46 (~v105(constB107)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[18594, 18590])).
% 8.88/6.46 tff(18596,plain,
% 8.88/6.46 ((~((~v120(constB107)) <=> v105(constB107))) | v120(constB107) | v105(constB107)),
% 8.88/6.46 inference(tautology,[status(thm)],[])).
% 8.88/6.46 tff(18597,plain,
% 8.88/6.46 ((~((~v120(constB107)) <=> v105(constB107))) | v120(constB107)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[18596, 18595])).
% 8.88/6.46 tff(18598,plain,
% 8.88/6.46 (v120(constB107)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[18597, 18588])).
% 8.88/6.46 tff(18599,plain,
% 8.88/6.46 ((~((~v107(constB107)) | (~v120(constB107)))) | (~v107(constB107)) | (~v120(constB107))),
% 8.88/6.46 inference(tautology,[status(thm)],[])).
% 8.88/6.46 tff(18600,plain,
% 8.88/6.46 ((~((~v107(constB107)) | (~v120(constB107)))) | (~v107(constB107))),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[18599, 18598])).
% 8.88/6.46 tff(18601,plain,
% 8.88/6.46 (~((~v107(constB107)) | (~v120(constB107)))),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[18600, 18586])).
% 8.88/6.46 tff(18602,plain,
% 8.88/6.46 ((~(v106(constB107) <=> (~((~v107(constB107)) | (~v120(constB107)))))) | v106(constB107) | ((~v107(constB107)) | (~v120(constB107)))),
% 8.88/6.46 inference(tautology,[status(thm)],[])).
% 8.88/6.46 tff(18603,plain,
% 8.88/6.46 (v106(constB107)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[18602, 18601, 4878])).
% 8.88/6.46 tff(18604,plain,
% 8.88/6.46 ((v105(constB107) | v106(constB107)) | (~v106(constB107))),
% 8.88/6.46 inference(tautology,[status(thm)],[])).
% 8.88/6.46 tff(18605,plain,
% 8.88/6.46 (v105(constB107) | v106(constB107)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[18604, 18603])).
% 8.88/6.46 tff(18606,plain,
% 8.88/6.46 ((~(v102(constB107) <=> (v105(constB107) | v106(constB107)))) | v102(constB107) | (~(v105(constB107) | v106(constB107)))),
% 8.88/6.46 inference(tautology,[status(thm)],[])).
% 8.88/6.46 tff(18607,plain,
% 8.88/6.46 (v102(constB107)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[18606, 18605, 4876])).
% 8.88/6.46 tff(18608,plain,
% 8.88/6.46 ((~(v104(constB108) <=> v102(constB107))) | v104(constB108) | (~v102(constB107))),
% 8.88/6.46 inference(tautology,[status(thm)],[])).
% 8.88/6.46 tff(18609,plain,
% 8.88/6.46 (v104(constB108)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[18608, 18607, 4874])).
% 8.88/6.46 tff(18610,plain,
% 8.88/6.46 ((~((~v104(constB108)) | (~v95(constB108)))) | (~v104(constB108)) | (~v95(constB108))),
% 8.88/6.46 inference(tautology,[status(thm)],[])).
% 8.88/6.46 tff(18611,plain,
% 8.88/6.46 (~((~v104(constB108)) | (~v95(constB108)))),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[18610, 18609, 4870])).
% 8.88/6.46 tff(18612,plain,
% 8.88/6.46 ((~(v94(constB108) <=> (~((~v104(constB108)) | (~v95(constB108)))))) | v94(constB108) | ((~v104(constB108)) | (~v95(constB108)))),
% 8.88/6.46 inference(tautology,[status(thm)],[])).
% 8.88/6.46 tff(18613,plain,
% 8.88/6.46 (v94(constB108)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[18612, 18611, 4839])).
% 8.88/6.46 tff(18614,plain,
% 8.88/6.46 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB108)) | ![B: $i] : ((~less_3(B)) | (v84(constB108, B) <=> v123(constB108, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB108)) | ![B: $i] : ((~less_3(B)) | (v84(constB108, B) <=> v123(constB108, B))))),
% 8.88/6.46 inference(rewrite,[status(thm)],[])).
% 8.88/6.46 tff(18615,plain,
% 8.88/6.46 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB108)) | ![B: $i] : ((~less_3(B)) | (v84(constB108, B) <=> v123(constB108, B))))),
% 8.88/6.46 inference(quant_inst,[status(thm)],[])).
% 8.88/6.46 tff(18616,plain,
% 8.88/6.46 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB108)) | ![B: $i] : ((~less_3(B)) | (v84(constB108, B) <=> v123(constB108, B)))),
% 8.88/6.46 inference(modus_ponens,[status(thm)],[18615, 18614])).
% 8.88/6.46 tff(18617,plain,
% 8.88/6.46 ((~v94(constB108)) | ![B: $i] : ((~less_3(B)) | (v84(constB108, B) <=> v123(constB108, B)))),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[18616, 9902])).
% 8.88/6.46 tff(18618,plain,
% 8.88/6.46 (![B: $i] : ((~less_3(B)) | (v84(constB108, B) <=> v123(constB108, B)))),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[18617, 18613])).
% 8.88/6.46 tff(18619,plain,
% 8.88/6.46 (((~![B: $i] : ((~less_3(B)) | (v84(constB108, B) <=> v123(constB108, B)))) | ((~less_3(bitIndex2)) | (v84(constB108, bitIndex2) <=> v123(constB108, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB108, B) <=> v123(constB108, B)))) | (~less_3(bitIndex2)) | (v84(constB108, bitIndex2) <=> v123(constB108, bitIndex2)))),
% 8.88/6.46 inference(rewrite,[status(thm)],[])).
% 8.88/6.46 tff(18620,plain,
% 8.88/6.46 ((~![B: $i] : ((~less_3(B)) | (v84(constB108, B) <=> v123(constB108, B)))) | ((~less_3(bitIndex2)) | (v84(constB108, bitIndex2) <=> v123(constB108, bitIndex2)))),
% 8.88/6.46 inference(quant_inst,[status(thm)],[])).
% 8.88/6.46 tff(18621,plain,
% 8.88/6.46 ((~![B: $i] : ((~less_3(B)) | (v84(constB108, B) <=> v123(constB108, B)))) | (~less_3(bitIndex2)) | (v84(constB108, bitIndex2) <=> v123(constB108, bitIndex2))),
% 8.88/6.46 inference(modus_ponens,[status(thm)],[18620, 18619])).
% 8.88/6.46 tff(18622,plain,
% 8.88/6.46 (v84(constB108, bitIndex2) <=> v123(constB108, bitIndex2)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[18621, 832, 18618])).
% 8.88/6.46 tff(18623,plain,
% 8.88/6.46 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB107, constB108)) | ![B: $i] : ((~less_3(B)) | (v123(constB108, B) <=> v121(constB107, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB107, constB108)) | ![B: $i] : ((~less_3(B)) | (v123(constB108, B) <=> v121(constB107, B))))),
% 8.88/6.46 inference(rewrite,[status(thm)],[])).
% 8.88/6.46 tff(18624,plain,
% 8.88/6.46 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB107, constB108)) | ![B: $i] : ((~less_3(B)) | (v123(constB108, B) <=> v121(constB107, B))))),
% 8.88/6.46 inference(quant_inst,[status(thm)],[])).
% 8.88/6.46 tff(18625,plain,
% 8.88/6.46 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB107, constB108)) | ![B: $i] : ((~less_3(B)) | (v123(constB108, B) <=> v121(constB107, B)))),
% 8.88/6.46 inference(modus_ponens,[status(thm)],[18624, 18623])).
% 8.88/6.46 tff(18626,plain,
% 8.88/6.46 (![B: $i] : ((~less_3(B)) | (v123(constB108, B) <=> v121(constB107, B)))),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[18625, 4835, 9924])).
% 8.88/6.46 tff(18627,plain,
% 8.88/6.46 (((~![B: $i] : ((~less_3(B)) | (v123(constB108, B) <=> v121(constB107, B)))) | ((~less_3(bitIndex2)) | (v123(constB108, bitIndex2) <=> v121(constB107, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB108, B) <=> v121(constB107, B)))) | (~less_3(bitIndex2)) | (v123(constB108, bitIndex2) <=> v121(constB107, bitIndex2)))),
% 8.88/6.46 inference(rewrite,[status(thm)],[])).
% 8.88/6.46 tff(18628,plain,
% 8.88/6.46 ((~![B: $i] : ((~less_3(B)) | (v123(constB108, B) <=> v121(constB107, B)))) | ((~less_3(bitIndex2)) | (v123(constB108, bitIndex2) <=> v121(constB107, bitIndex2)))),
% 8.88/6.46 inference(quant_inst,[status(thm)],[])).
% 8.88/6.46 tff(18629,plain,
% 8.88/6.46 ((~![B: $i] : ((~less_3(B)) | (v123(constB108, B) <=> v121(constB107, B)))) | (~less_3(bitIndex2)) | (v123(constB108, bitIndex2) <=> v121(constB107, bitIndex2))),
% 8.88/6.46 inference(modus_ponens,[status(thm)],[18628, 18627])).
% 8.88/6.46 tff(18630,plain,
% 8.88/6.46 (v123(constB108, bitIndex2) <=> v121(constB107, bitIndex2)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[18629, 832, 18626])).
% 8.88/6.46 tff(18631,plain,
% 8.88/6.46 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB107) | ![B: $i] : ((~less_3(B)) | (v121(constB107, B) <=> v124(constB107, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB107) | ![B: $i] : ((~less_3(B)) | (v121(constB107, B) <=> v124(constB107, B))))),
% 8.88/6.46 inference(rewrite,[status(thm)],[])).
% 8.88/6.46 tff(18632,plain,
% 8.88/6.46 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB107) | ![B: $i] : ((~less_3(B)) | (v121(constB107, B) <=> v124(constB107, B))))),
% 8.88/6.46 inference(quant_inst,[status(thm)],[])).
% 8.88/6.46 tff(18633,plain,
% 8.88/6.46 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB107) | ![B: $i] : ((~less_3(B)) | (v121(constB107, B) <=> v124(constB107, B)))),
% 8.88/6.46 inference(modus_ponens,[status(thm)],[18632, 18631])).
% 8.88/6.46 tff(18634,plain,
% 8.88/6.46 (![B: $i] : ((~less_3(B)) | (v121(constB107, B) <=> v124(constB107, B)))),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[18633, 9945, 18595])).
% 8.88/6.46 tff(18635,plain,
% 8.88/6.46 (((~![B: $i] : ((~less_3(B)) | (v121(constB107, B) <=> v124(constB107, B)))) | ((~less_3(bitIndex2)) | (v121(constB107, bitIndex2) <=> v124(constB107, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB107, B) <=> v124(constB107, B)))) | (~less_3(bitIndex2)) | (v121(constB107, bitIndex2) <=> v124(constB107, bitIndex2)))),
% 8.88/6.46 inference(rewrite,[status(thm)],[])).
% 8.88/6.46 tff(18636,plain,
% 8.88/6.46 ((~![B: $i] : ((~less_3(B)) | (v121(constB107, B) <=> v124(constB107, B)))) | ((~less_3(bitIndex2)) | (v121(constB107, bitIndex2) <=> v124(constB107, bitIndex2)))),
% 8.88/6.46 inference(quant_inst,[status(thm)],[])).
% 8.88/6.46 tff(18637,plain,
% 8.88/6.46 ((~![B: $i] : ((~less_3(B)) | (v121(constB107, B) <=> v124(constB107, B)))) | (~less_3(bitIndex2)) | (v121(constB107, bitIndex2) <=> v124(constB107, bitIndex2))),
% 8.88/6.46 inference(modus_ponens,[status(thm)],[18636, 18635])).
% 8.88/6.46 tff(18638,plain,
% 8.88/6.46 (v121(constB107, bitIndex2) <=> v124(constB107, bitIndex2)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[18637, 832, 18634])).
% 8.88/6.46 tff(18639,plain,
% 8.88/6.46 (((~![VarCurr: $i] : ((~v118(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b110(B))))) | ((~v118(constB107)) | ![B: $i] : ((~less_3(B)) | (v124(constB107, B) <=> b110(B))))) <=> ((~![VarCurr: $i] : ((~v118(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b110(B))))) | (~v118(constB107)) | ![B: $i] : ((~less_3(B)) | (v124(constB107, B) <=> b110(B))))),
% 8.88/6.46 inference(rewrite,[status(thm)],[])).
% 8.88/6.46 tff(18640,plain,
% 8.88/6.46 ((~![VarCurr: $i] : ((~v118(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b110(B))))) | ((~v118(constB107)) | ![B: $i] : ((~less_3(B)) | (v124(constB107, B) <=> b110(B))))),
% 8.88/6.46 inference(quant_inst,[status(thm)],[])).
% 8.88/6.46 tff(18641,plain,
% 8.88/6.46 ((~![VarCurr: $i] : ((~v118(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b110(B))))) | (~v118(constB107)) | ![B: $i] : ((~less_3(B)) | (v124(constB107, B) <=> b110(B)))),
% 8.88/6.46 inference(modus_ponens,[status(thm)],[18640, 18639])).
% 8.88/6.46 tff(18642,plain,
% 8.88/6.46 ((~v118(constB107)) | ![B: $i] : ((~less_3(B)) | (v124(constB107, B) <=> b110(B)))),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[18641, 10845])).
% 8.88/6.46 tff(18643,plain,
% 8.88/6.46 (![B: $i] : ((~less_3(B)) | (v124(constB107, B) <=> b110(B)))),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[18642, 18578])).
% 8.88/6.46 tff(18644,plain,
% 8.88/6.46 (((~![B: $i] : ((~less_3(B)) | (v124(constB107, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v124(constB107, bitIndex2) <=> b110(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB107, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v124(constB107, bitIndex2) <=> b110(bitIndex2)))),
% 8.88/6.46 inference(rewrite,[status(thm)],[])).
% 8.88/6.46 tff(18645,plain,
% 8.88/6.46 ((~![B: $i] : ((~less_3(B)) | (v124(constB107, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v124(constB107, bitIndex2) <=> b110(bitIndex2)))),
% 8.88/6.46 inference(quant_inst,[status(thm)],[])).
% 8.88/6.46 tff(18646,plain,
% 8.88/6.46 ((~![B: $i] : ((~less_3(B)) | (v124(constB107, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v124(constB107, bitIndex2) <=> b110(bitIndex2))),
% 8.88/6.46 inference(modus_ponens,[status(thm)],[18645, 18644])).
% 8.88/6.46 tff(18647,plain,
% 8.88/6.46 (v124(constB107, bitIndex2) <=> b110(bitIndex2)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[18646, 832, 18643])).
% 8.88/6.46 tff(18648,plain,
% 8.88/6.46 ((~(v124(constB107, bitIndex2) <=> b110(bitIndex2))) | v124(constB107, bitIndex2) | (~b110(bitIndex2))),
% 8.88/6.46 inference(tautology,[status(thm)],[])).
% 8.88/6.46 tff(18649,plain,
% 8.88/6.46 ((~(v124(constB107, bitIndex2) <=> b110(bitIndex2))) | v124(constB107, bitIndex2)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[18648, 10857])).
% 8.88/6.46 tff(18650,plain,
% 8.88/6.46 (v124(constB107, bitIndex2)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[18649, 18647])).
% 8.88/6.46 tff(18651,plain,
% 8.88/6.46 ((~(v121(constB107, bitIndex2) <=> v124(constB107, bitIndex2))) | v121(constB107, bitIndex2) | (~v124(constB107, bitIndex2))),
% 8.88/6.46 inference(tautology,[status(thm)],[])).
% 8.88/6.46 tff(18652,plain,
% 8.88/6.46 (v121(constB107, bitIndex2)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[18651, 18650, 18638])).
% 8.88/6.46 tff(18653,plain,
% 8.88/6.46 ((~(v123(constB108, bitIndex2) <=> v121(constB107, bitIndex2))) | v123(constB108, bitIndex2) | (~v121(constB107, bitIndex2))),
% 8.88/6.46 inference(tautology,[status(thm)],[])).
% 8.88/6.46 tff(18654,plain,
% 8.88/6.46 (v123(constB108, bitIndex2)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[18653, 18652, 18630])).
% 8.88/6.46 tff(18655,plain,
% 8.88/6.46 ((~(v84(constB108, bitIndex2) <=> v123(constB108, bitIndex2))) | v84(constB108, bitIndex2) | (~v123(constB108, bitIndex2))),
% 8.88/6.46 inference(tautology,[status(thm)],[])).
% 8.88/6.46 tff(18656,plain,
% 8.88/6.46 (v84(constB108, bitIndex2)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[18655, 18654, 18622])).
% 8.88/6.46 tff(18657,plain,
% 8.88/6.46 ((~(v84(constB109, bitIndex2) <=> v84(constB108, bitIndex2))) | v84(constB109, bitIndex2) | (~v84(constB108, bitIndex2))),
% 8.88/6.46 inference(tautology,[status(thm)],[])).
% 8.88/6.46 tff(18658,plain,
% 8.88/6.46 (v84(constB109, bitIndex2)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[18657, 18656, 4832])).
% 8.88/6.46 tff(18659,plain,
% 8.88/6.46 (((~![B: $i] : ((~less_3(B)) | (v84(constB109, B) <=> v84(constB108, B)))) | ((~less_3(bitIndex0)) | (v84(constB109, bitIndex0) <=> v84(constB108, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB109, B) <=> v84(constB108, B)))) | (~less_3(bitIndex0)) | (v84(constB109, bitIndex0) <=> v84(constB108, bitIndex0)))),
% 8.88/6.46 inference(rewrite,[status(thm)],[])).
% 8.88/6.46 tff(18660,plain,
% 8.88/6.46 ((~![B: $i] : ((~less_3(B)) | (v84(constB109, B) <=> v84(constB108, B)))) | ((~less_3(bitIndex0)) | (v84(constB109, bitIndex0) <=> v84(constB108, bitIndex0)))),
% 8.88/6.46 inference(quant_inst,[status(thm)],[])).
% 8.88/6.46 tff(18661,plain,
% 8.88/6.46 ((~![B: $i] : ((~less_3(B)) | (v84(constB109, B) <=> v84(constB108, B)))) | (~less_3(bitIndex0)) | (v84(constB109, bitIndex0) <=> v84(constB108, bitIndex0))),
% 8.88/6.46 inference(modus_ponens,[status(thm)],[18660, 18659])).
% 8.88/6.46 tff(18662,plain,
% 8.88/6.46 (v84(constB109, bitIndex0) <=> v84(constB108, bitIndex0)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[18661, 9772, 4828])).
% 8.88/6.46 tff(18663,plain,
% 8.88/6.46 (((~![B: $i] : ((~less_3(B)) | (v84(constB108, B) <=> v123(constB108, B)))) | ((~less_3(bitIndex0)) | (v84(constB108, bitIndex0) <=> v123(constB108, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB108, B) <=> v123(constB108, B)))) | (~less_3(bitIndex0)) | (v84(constB108, bitIndex0) <=> v123(constB108, bitIndex0)))),
% 8.88/6.46 inference(rewrite,[status(thm)],[])).
% 8.88/6.46 tff(18664,plain,
% 8.88/6.46 ((~![B: $i] : ((~less_3(B)) | (v84(constB108, B) <=> v123(constB108, B)))) | ((~less_3(bitIndex0)) | (v84(constB108, bitIndex0) <=> v123(constB108, bitIndex0)))),
% 8.88/6.46 inference(quant_inst,[status(thm)],[])).
% 8.88/6.46 tff(18665,plain,
% 8.88/6.46 ((~![B: $i] : ((~less_3(B)) | (v84(constB108, B) <=> v123(constB108, B)))) | (~less_3(bitIndex0)) | (v84(constB108, bitIndex0) <=> v123(constB108, bitIndex0))),
% 8.88/6.46 inference(modus_ponens,[status(thm)],[18664, 18663])).
% 8.88/6.46 tff(18666,plain,
% 8.88/6.46 (v84(constB108, bitIndex0) <=> v123(constB108, bitIndex0)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[18665, 9772, 18618])).
% 8.88/6.46 tff(18667,plain,
% 8.88/6.46 (((~![B: $i] : ((~less_3(B)) | (v123(constB108, B) <=> v121(constB107, B)))) | ((~less_3(bitIndex0)) | (v123(constB108, bitIndex0) <=> v121(constB107, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB108, B) <=> v121(constB107, B)))) | (~less_3(bitIndex0)) | (v123(constB108, bitIndex0) <=> v121(constB107, bitIndex0)))),
% 8.88/6.46 inference(rewrite,[status(thm)],[])).
% 8.88/6.46 tff(18668,plain,
% 8.88/6.46 ((~![B: $i] : ((~less_3(B)) | (v123(constB108, B) <=> v121(constB107, B)))) | ((~less_3(bitIndex0)) | (v123(constB108, bitIndex0) <=> v121(constB107, bitIndex0)))),
% 8.88/6.46 inference(quant_inst,[status(thm)],[])).
% 8.88/6.46 tff(18669,plain,
% 8.88/6.46 ((~![B: $i] : ((~less_3(B)) | (v123(constB108, B) <=> v121(constB107, B)))) | (~less_3(bitIndex0)) | (v123(constB108, bitIndex0) <=> v121(constB107, bitIndex0))),
% 8.88/6.46 inference(modus_ponens,[status(thm)],[18668, 18667])).
% 8.88/6.46 tff(18670,plain,
% 8.88/6.46 (v123(constB108, bitIndex0) <=> v121(constB107, bitIndex0)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[18669, 9772, 18626])).
% 8.88/6.46 tff(18671,plain,
% 8.88/6.46 (((~![B: $i] : ((~less_3(B)) | (v121(constB107, B) <=> v124(constB107, B)))) | ((~less_3(bitIndex0)) | (v121(constB107, bitIndex0) <=> v124(constB107, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB107, B) <=> v124(constB107, B)))) | (~less_3(bitIndex0)) | (v121(constB107, bitIndex0) <=> v124(constB107, bitIndex0)))),
% 8.88/6.46 inference(rewrite,[status(thm)],[])).
% 8.88/6.46 tff(18672,plain,
% 8.88/6.46 ((~![B: $i] : ((~less_3(B)) | (v121(constB107, B) <=> v124(constB107, B)))) | ((~less_3(bitIndex0)) | (v121(constB107, bitIndex0) <=> v124(constB107, bitIndex0)))),
% 8.88/6.46 inference(quant_inst,[status(thm)],[])).
% 8.88/6.46 tff(18673,plain,
% 8.88/6.46 ((~![B: $i] : ((~less_3(B)) | (v121(constB107, B) <=> v124(constB107, B)))) | (~less_3(bitIndex0)) | (v121(constB107, bitIndex0) <=> v124(constB107, bitIndex0))),
% 8.88/6.46 inference(modus_ponens,[status(thm)],[18672, 18671])).
% 8.88/6.46 tff(18674,plain,
% 8.88/6.46 (v121(constB107, bitIndex0) <=> v124(constB107, bitIndex0)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[18673, 9772, 18634])).
% 8.88/6.46 tff(18675,plain,
% 8.88/6.46 (((~![B: $i] : ((~less_3(B)) | (v124(constB107, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v124(constB107, bitIndex0) <=> b110(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB107, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v124(constB107, bitIndex0) <=> b110(bitIndex0)))),
% 8.88/6.46 inference(rewrite,[status(thm)],[])).
% 8.88/6.46 tff(18676,plain,
% 8.88/6.46 ((~![B: $i] : ((~less_3(B)) | (v124(constB107, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v124(constB107, bitIndex0) <=> b110(bitIndex0)))),
% 8.88/6.46 inference(quant_inst,[status(thm)],[])).
% 8.88/6.46 tff(18677,plain,
% 8.88/6.46 ((~![B: $i] : ((~less_3(B)) | (v124(constB107, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v124(constB107, bitIndex0) <=> b110(bitIndex0))),
% 8.88/6.46 inference(modus_ponens,[status(thm)],[18676, 18675])).
% 8.88/6.46 tff(18678,plain,
% 8.88/6.46 (v124(constB107, bitIndex0) <=> b110(bitIndex0)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[18677, 9772, 18643])).
% 8.88/6.46 tff(18679,plain,
% 8.88/6.46 ((~(v124(constB107, bitIndex0) <=> b110(bitIndex0))) | (~v124(constB107, bitIndex0)) | b110(bitIndex0)),
% 8.88/6.46 inference(tautology,[status(thm)],[])).
% 8.88/6.46 tff(18680,plain,
% 8.88/6.46 ((~(v124(constB107, bitIndex0) <=> b110(bitIndex0))) | (~v124(constB107, bitIndex0))),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[18679, 10891])).
% 8.88/6.46 tff(18681,plain,
% 8.88/6.46 (~v124(constB107, bitIndex0)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[18680, 18678])).
% 8.88/6.46 tff(18682,plain,
% 8.88/6.46 ((~(v121(constB107, bitIndex0) <=> v124(constB107, bitIndex0))) | (~v121(constB107, bitIndex0)) | v124(constB107, bitIndex0)),
% 8.88/6.46 inference(tautology,[status(thm)],[])).
% 8.88/6.46 tff(18683,plain,
% 8.88/6.46 (~v121(constB107, bitIndex0)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[18682, 18681, 18674])).
% 8.88/6.46 tff(18684,plain,
% 8.88/6.46 ((~(v123(constB108, bitIndex0) <=> v121(constB107, bitIndex0))) | (~v123(constB108, bitIndex0)) | v121(constB107, bitIndex0)),
% 8.88/6.46 inference(tautology,[status(thm)],[])).
% 8.88/6.46 tff(18685,plain,
% 8.88/6.46 (~v123(constB108, bitIndex0)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[18684, 18683, 18670])).
% 8.88/6.46 tff(18686,plain,
% 8.88/6.46 ((~(v84(constB108, bitIndex0) <=> v123(constB108, bitIndex0))) | (~v84(constB108, bitIndex0)) | v123(constB108, bitIndex0)),
% 8.88/6.46 inference(tautology,[status(thm)],[])).
% 8.88/6.46 tff(18687,plain,
% 8.88/6.46 (~v84(constB108, bitIndex0)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[18686, 18685, 18666])).
% 8.88/6.46 tff(18688,plain,
% 8.88/6.46 ((~(v84(constB109, bitIndex0) <=> v84(constB108, bitIndex0))) | (~v84(constB109, bitIndex0)) | v84(constB108, bitIndex0)),
% 8.88/6.46 inference(tautology,[status(thm)],[])).
% 8.88/6.46 tff(18689,plain,
% 8.88/6.46 (~v84(constB109, bitIndex0)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[18688, 18687, 18662])).
% 8.88/6.46 tff(18690,plain,
% 8.88/6.46 (((~![B: $i] : ((~less_3(B)) | (v84(constB109, B) <=> v84(constB108, B)))) | ((~less_3(bitIndex1)) | (v84(constB109, bitIndex1) <=> v84(constB108, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB109, B) <=> v84(constB108, B)))) | (~less_3(bitIndex1)) | (v84(constB109, bitIndex1) <=> v84(constB108, bitIndex1)))),
% 8.88/6.46 inference(rewrite,[status(thm)],[])).
% 8.88/6.46 tff(18691,plain,
% 8.88/6.46 ((~![B: $i] : ((~less_3(B)) | (v84(constB109, B) <=> v84(constB108, B)))) | ((~less_3(bitIndex1)) | (v84(constB109, bitIndex1) <=> v84(constB108, bitIndex1)))),
% 8.88/6.46 inference(quant_inst,[status(thm)],[])).
% 8.88/6.46 tff(18692,plain,
% 8.88/6.46 ((~![B: $i] : ((~less_3(B)) | (v84(constB109, B) <=> v84(constB108, B)))) | (~less_3(bitIndex1)) | (v84(constB109, bitIndex1) <=> v84(constB108, bitIndex1))),
% 8.88/6.46 inference(modus_ponens,[status(thm)],[18691, 18690])).
% 8.88/6.46 tff(18693,plain,
% 8.88/6.46 (v84(constB109, bitIndex1) <=> v84(constB108, bitIndex1)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[18692, 9785, 4828])).
% 8.88/6.46 tff(18694,plain,
% 8.88/6.46 (((~![B: $i] : ((~less_3(B)) | (v84(constB108, B) <=> v123(constB108, B)))) | ((~less_3(bitIndex1)) | (v84(constB108, bitIndex1) <=> v123(constB108, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB108, B) <=> v123(constB108, B)))) | (~less_3(bitIndex1)) | (v84(constB108, bitIndex1) <=> v123(constB108, bitIndex1)))),
% 8.88/6.46 inference(rewrite,[status(thm)],[])).
% 8.88/6.46 tff(18695,plain,
% 8.88/6.46 ((~![B: $i] : ((~less_3(B)) | (v84(constB108, B) <=> v123(constB108, B)))) | ((~less_3(bitIndex1)) | (v84(constB108, bitIndex1) <=> v123(constB108, bitIndex1)))),
% 8.88/6.46 inference(quant_inst,[status(thm)],[])).
% 8.88/6.46 tff(18696,plain,
% 8.88/6.46 ((~![B: $i] : ((~less_3(B)) | (v84(constB108, B) <=> v123(constB108, B)))) | (~less_3(bitIndex1)) | (v84(constB108, bitIndex1) <=> v123(constB108, bitIndex1))),
% 8.88/6.46 inference(modus_ponens,[status(thm)],[18695, 18694])).
% 8.88/6.46 tff(18697,plain,
% 8.88/6.46 (v84(constB108, bitIndex1) <=> v123(constB108, bitIndex1)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[18696, 9785, 18618])).
% 8.88/6.46 tff(18698,plain,
% 8.88/6.46 (((~![B: $i] : ((~less_3(B)) | (v123(constB108, B) <=> v121(constB107, B)))) | ((~less_3(bitIndex1)) | (v123(constB108, bitIndex1) <=> v121(constB107, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB108, B) <=> v121(constB107, B)))) | (~less_3(bitIndex1)) | (v123(constB108, bitIndex1) <=> v121(constB107, bitIndex1)))),
% 8.88/6.46 inference(rewrite,[status(thm)],[])).
% 8.88/6.46 tff(18699,plain,
% 8.88/6.46 ((~![B: $i] : ((~less_3(B)) | (v123(constB108, B) <=> v121(constB107, B)))) | ((~less_3(bitIndex1)) | (v123(constB108, bitIndex1) <=> v121(constB107, bitIndex1)))),
% 8.88/6.46 inference(quant_inst,[status(thm)],[])).
% 8.88/6.46 tff(18700,plain,
% 8.88/6.46 ((~![B: $i] : ((~less_3(B)) | (v123(constB108, B) <=> v121(constB107, B)))) | (~less_3(bitIndex1)) | (v123(constB108, bitIndex1) <=> v121(constB107, bitIndex1))),
% 8.88/6.46 inference(modus_ponens,[status(thm)],[18699, 18698])).
% 8.88/6.46 tff(18701,plain,
% 8.88/6.46 (v123(constB108, bitIndex1) <=> v121(constB107, bitIndex1)),
% 8.88/6.46 inference(unit_resolution,[status(thm)],[18700, 9785, 18626])).
% 8.88/6.46 tff(18702,plain,
% 8.88/6.46 (((~![B: $i] : ((~less_3(B)) | (v121(constB107, B) <=> v124(constB107, B)))) | ((~less_3(bitIndex1)) | (v121(constB107, bitIndex1) <=> v124(constB107, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB107, B) <=> v124(constB107, B)))) | (~less_3(bitIndex1)) | (v121(constB107, bitIndex1) <=> v124(constB107, bitIndex1)))),
% 8.88/6.47 inference(rewrite,[status(thm)],[])).
% 8.88/6.47 tff(18703,plain,
% 8.88/6.47 ((~![B: $i] : ((~less_3(B)) | (v121(constB107, B) <=> v124(constB107, B)))) | ((~less_3(bitIndex1)) | (v121(constB107, bitIndex1) <=> v124(constB107, bitIndex1)))),
% 8.88/6.47 inference(quant_inst,[status(thm)],[])).
% 8.88/6.47 tff(18704,plain,
% 8.88/6.47 ((~![B: $i] : ((~less_3(B)) | (v121(constB107, B) <=> v124(constB107, B)))) | (~less_3(bitIndex1)) | (v121(constB107, bitIndex1) <=> v124(constB107, bitIndex1))),
% 8.88/6.47 inference(modus_ponens,[status(thm)],[18703, 18702])).
% 8.88/6.47 tff(18705,plain,
% 8.88/6.47 (v121(constB107, bitIndex1) <=> v124(constB107, bitIndex1)),
% 8.88/6.47 inference(unit_resolution,[status(thm)],[18704, 9785, 18634])).
% 8.88/6.47 tff(18706,plain,
% 8.88/6.47 (((~![B: $i] : ((~less_3(B)) | (v124(constB107, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v124(constB107, bitIndex1) <=> b110(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB107, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v124(constB107, bitIndex1) <=> b110(bitIndex1)))),
% 8.88/6.47 inference(rewrite,[status(thm)],[])).
% 8.88/6.47 tff(18707,plain,
% 8.88/6.47 ((~![B: $i] : ((~less_3(B)) | (v124(constB107, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v124(constB107, bitIndex1) <=> b110(bitIndex1)))),
% 8.88/6.47 inference(quant_inst,[status(thm)],[])).
% 8.88/6.47 tff(18708,plain,
% 8.88/6.47 ((~![B: $i] : ((~less_3(B)) | (v124(constB107, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v124(constB107, bitIndex1) <=> b110(bitIndex1))),
% 8.88/6.47 inference(modus_ponens,[status(thm)],[18707, 18706])).
% 8.88/6.47 tff(18709,plain,
% 8.88/6.47 (v124(constB107, bitIndex1) <=> b110(bitIndex1)),
% 8.88/6.47 inference(unit_resolution,[status(thm)],[18708, 9785, 18643])).
% 8.88/6.47 tff(18710,plain,
% 8.88/6.47 ((~(v124(constB107, bitIndex1) <=> b110(bitIndex1))) | v124(constB107, bitIndex1) | (~b110(bitIndex1))),
% 8.88/6.47 inference(tautology,[status(thm)],[])).
% 8.88/6.47 tff(18711,plain,
% 8.88/6.47 ((~(v124(constB107, bitIndex1) <=> b110(bitIndex1))) | v124(constB107, bitIndex1)),
% 8.88/6.47 inference(unit_resolution,[status(thm)],[18710, 10925])).
% 8.88/6.47 tff(18712,plain,
% 8.88/6.47 (v124(constB107, bitIndex1)),
% 8.88/6.47 inference(unit_resolution,[status(thm)],[18711, 18709])).
% 8.88/6.47 tff(18713,plain,
% 8.88/6.47 ((~(v121(constB107, bitIndex1) <=> v124(constB107, bitIndex1))) | v121(constB107, bitIndex1) | (~v124(constB107, bitIndex1))),
% 8.88/6.47 inference(tautology,[status(thm)],[])).
% 8.88/6.47 tff(18714,plain,
% 8.88/6.47 (v121(constB107, bitIndex1)),
% 8.88/6.47 inference(unit_resolution,[status(thm)],[18713, 18712, 18705])).
% 8.88/6.47 tff(18715,plain,
% 8.88/6.47 ((~(v123(constB108, bitIndex1) <=> v121(constB107, bitIndex1))) | v123(constB108, bitIndex1) | (~v121(constB107, bitIndex1))),
% 8.88/6.47 inference(tautology,[status(thm)],[])).
% 8.88/6.47 tff(18716,plain,
% 8.88/6.47 (v123(constB108, bitIndex1)),
% 8.88/6.47 inference(unit_resolution,[status(thm)],[18715, 18714, 18701])).
% 8.88/6.47 tff(18717,plain,
% 8.88/6.47 ((~(v84(constB108, bitIndex1) <=> v123(constB108, bitIndex1))) | v84(constB108, bitIndex1) | (~v123(constB108, bitIndex1))),
% 8.88/6.47 inference(tautology,[status(thm)],[])).
% 8.88/6.47 tff(18718,plain,
% 8.88/6.47 (v84(constB108, bitIndex1)),
% 8.88/6.47 inference(unit_resolution,[status(thm)],[18717, 18716, 18697])).
% 8.88/6.47 tff(18719,plain,
% 8.88/6.47 ((~(v84(constB109, bitIndex1) <=> v84(constB108, bitIndex1))) | v84(constB109, bitIndex1) | (~v84(constB108, bitIndex1))),
% 8.88/6.47 inference(tautology,[status(thm)],[])).
% 8.88/6.47 tff(18720,plain,
% 8.88/6.47 (v84(constB109, bitIndex1)),
% 8.88/6.47 inference(unit_resolution,[status(thm)],[18719, 18718, 18693])).
% 8.88/6.47 tff(18721,plain,
% 8.88/6.47 ((~((~v84(constB109, bitIndex2)) | (~v84(constB109, bitIndex1)) | v84(constB109, bitIndex0))) | (~v84(constB109, bitIndex2)) | (~v84(constB109, bitIndex1)) | v84(constB109, bitIndex0)),
% 8.88/6.47 inference(tautology,[status(thm)],[])).
% 8.88/6.47 tff(18722,plain,
% 8.88/6.47 (~((~v84(constB109, bitIndex2)) | (~v84(constB109, bitIndex1)) | v84(constB109, bitIndex0))),
% 8.88/6.47 inference(unit_resolution,[status(thm)],[18721, 18720, 18689, 18658])).
% 8.88/6.47 tff(18723,plain,
% 8.88/6.47 ((~(v119(constB109) <=> (~((~v84(constB109, bitIndex2)) | (~v84(constB109, bitIndex1)) | v84(constB109, bitIndex0))))) | v119(constB109) | ((~v84(constB109, bitIndex2)) | (~v84(constB109, bitIndex1)) | v84(constB109, bitIndex0))),
% 8.88/6.47 inference(tautology,[status(thm)],[])).
% 8.88/6.47 tff(18724,plain,
% 8.88/6.47 (v119(constB109)),
% 8.88/6.47 inference(unit_resolution,[status(thm)],[18723, 18722, 4800])).
% 8.88/6.47 tff(18725,plain,
% 8.88/6.47 ((v108(constB109) | v119(constB109)) | (~v119(constB109))),
% 8.88/6.47 inference(tautology,[status(thm)],[])).
% 8.88/6.47 tff(18726,plain,
% 8.88/6.47 (v108(constB109) | v119(constB109)),
% 8.88/6.47 inference(unit_resolution,[status(thm)],[18725, 18724])).
% 8.88/6.47 tff(18727,plain,
% 8.88/6.47 ((~(v107(constB109) <=> (v108(constB109) | v119(constB109)))) | v107(constB109) | (~(v108(constB109) | v119(constB109)))),
% 8.88/6.47 inference(tautology,[status(thm)],[])).
% 8.88/6.47 tff(18728,plain,
% 8.88/6.47 (v107(constB109)),
% 8.88/6.47 inference(unit_resolution,[status(thm)],[18727, 18726, 4793])).
% 8.88/6.47 tff(18729,plain,
% 8.88/6.47 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB109)) <=> v105(constB109))),
% 8.88/6.47 inference(quant_inst,[status(thm)],[])).
% 8.88/6.47 tff(18730,plain,
% 8.88/6.47 ((~v120(constB109)) <=> v105(constB109)),
% 8.88/6.47 inference(unit_resolution,[status(thm)],[18729, 9842])).
% 8.88/6.47 tff(18731,plain,
% 8.88/6.47 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB109) <=> v26(constB109))),
% 8.88/6.47 inference(quant_inst,[status(thm)],[])).
% 8.88/6.47 tff(18732,plain,
% 8.88/6.47 (v105(constB109) <=> v26(constB109)),
% 8.88/6.47 inference(unit_resolution,[status(thm)],[18731, 9854])).
% 8.88/6.47 tff(18733,plain,
% 8.88/6.47 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB109))),
% 8.88/6.47 inference(quant_inst,[status(thm)],[])).
% 8.88/6.47 tff(18734,plain,
% 8.88/6.47 (~v26(constB109)),
% 8.88/6.47 inference(unit_resolution,[status(thm)],[18733, 9866])).
% 8.88/6.47 tff(18735,plain,
% 8.88/6.47 ((~(v105(constB109) <=> v26(constB109))) | (~v105(constB109)) | v26(constB109)),
% 8.88/6.47 inference(tautology,[status(thm)],[])).
% 8.88/6.47 tff(18736,plain,
% 8.88/6.47 ((~(v105(constB109) <=> v26(constB109))) | (~v105(constB109))),
% 8.88/6.47 inference(unit_resolution,[status(thm)],[18735, 18734])).
% 8.88/6.47 tff(18737,plain,
% 8.88/6.47 (~v105(constB109)),
% 8.88/6.47 inference(unit_resolution,[status(thm)],[18736, 18732])).
% 8.88/6.47 tff(18738,plain,
% 8.88/6.47 ((~((~v120(constB109)) <=> v105(constB109))) | v120(constB109) | v105(constB109)),
% 8.88/6.47 inference(tautology,[status(thm)],[])).
% 8.88/6.47 tff(18739,plain,
% 8.88/6.47 ((~((~v120(constB109)) <=> v105(constB109))) | v120(constB109)),
% 8.88/6.47 inference(unit_resolution,[status(thm)],[18738, 18737])).
% 8.88/6.47 tff(18740,plain,
% 8.88/6.47 (v120(constB109)),
% 8.88/6.47 inference(unit_resolution,[status(thm)],[18739, 18730])).
% 8.88/6.47 tff(18741,plain,
% 8.88/6.47 ((~((~v107(constB109)) | (~v120(constB109)))) | (~v107(constB109)) | (~v120(constB109))),
% 8.88/6.47 inference(tautology,[status(thm)],[])).
% 8.88/6.47 tff(18742,plain,
% 8.88/6.47 ((~((~v107(constB109)) | (~v120(constB109)))) | (~v107(constB109))),
% 8.88/6.47 inference(unit_resolution,[status(thm)],[18741, 18740])).
% 8.88/6.47 tff(18743,plain,
% 8.88/6.47 (~((~v107(constB109)) | (~v120(constB109)))),
% 8.88/6.47 inference(unit_resolution,[status(thm)],[18742, 18728])).
% 8.88/6.47 tff(18744,plain,
% 8.88/6.47 ((~(v106(constB109) <=> (~((~v107(constB109)) | (~v120(constB109)))))) | v106(constB109) | ((~v107(constB109)) | (~v120(constB109)))),
% 8.88/6.47 inference(tautology,[status(thm)],[])).
% 8.88/6.47 tff(18745,plain,
% 8.88/6.47 (v106(constB109)),
% 8.88/6.47 inference(unit_resolution,[status(thm)],[18744, 18743, 4791])).
% 8.88/6.47 tff(18746,plain,
% 8.88/6.47 ((v105(constB109) | v106(constB109)) | (~v106(constB109))),
% 8.88/6.47 inference(tautology,[status(thm)],[])).
% 8.88/6.47 tff(18747,plain,
% 8.88/6.47 (v105(constB109) | v106(constB109)),
% 8.88/6.47 inference(unit_resolution,[status(thm)],[18746, 18745])).
% 8.88/6.47 tff(18748,plain,
% 8.88/6.47 ((~(v102(constB109) <=> (v105(constB109) | v106(constB109)))) | v102(constB109) | (~(v105(constB109) | v106(constB109)))),
% 8.88/6.47 inference(tautology,[status(thm)],[])).
% 8.88/6.47 tff(18749,plain,
% 8.88/6.47 (v102(constB109)),
% 8.88/6.47 inference(unit_resolution,[status(thm)],[18748, 18747, 4789])).
% 8.88/6.47 tff(18750,plain,
% 8.88/6.47 ((~(v104(constB110) <=> v102(constB109))) | v104(constB110) | (~v102(constB109))),
% 8.88/6.47 inference(tautology,[status(thm)],[])).
% 8.88/6.47 tff(18751,plain,
% 8.88/6.47 (v104(constB110)),
% 8.88/6.47 inference(unit_resolution,[status(thm)],[18750, 18749, 4787])).
% 8.88/6.47 tff(18752,plain,
% 8.88/6.47 ((~((~v104(constB110)) | (~v95(constB110)))) | (~v104(constB110)) | (~v95(constB110))),
% 8.88/6.47 inference(tautology,[status(thm)],[])).
% 8.88/6.47 tff(18753,plain,
% 8.88/6.47 (~((~v104(constB110)) | (~v95(constB110)))),
% 8.88/6.47 inference(unit_resolution,[status(thm)],[18752, 18751, 4783])).
% 8.88/6.47 tff(18754,plain,
% 8.88/6.47 ((~(v94(constB110) <=> (~((~v104(constB110)) | (~v95(constB110)))))) | v94(constB110) | ((~v104(constB110)) | (~v95(constB110)))),
% 8.88/6.47 inference(tautology,[status(thm)],[])).
% 8.88/6.47 tff(18755,plain,
% 8.88/6.47 (v94(constB110)),
% 8.88/6.47 inference(unit_resolution,[status(thm)],[18754, 18753, 4752])).
% 8.88/6.47 tff(18756,plain,
% 8.88/6.47 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB110)) | ![B: $i] : ((~less_3(B)) | (v84(constB110, B) <=> v123(constB110, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB110)) | ![B: $i] : ((~less_3(B)) | (v84(constB110, B) <=> v123(constB110, B))))),
% 8.88/6.47 inference(rewrite,[status(thm)],[])).
% 8.88/6.47 tff(18757,plain,
% 8.88/6.47 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB110)) | ![B: $i] : ((~less_3(B)) | (v84(constB110, B) <=> v123(constB110, B))))),
% 8.88/6.47 inference(quant_inst,[status(thm)],[])).
% 8.88/6.47 tff(18758,plain,
% 8.88/6.47 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB110)) | ![B: $i] : ((~less_3(B)) | (v84(constB110, B) <=> v123(constB110, B)))),
% 8.88/6.47 inference(modus_ponens,[status(thm)],[18757, 18756])).
% 8.88/6.47 tff(18759,plain,
% 8.88/6.47 ((~v94(constB110)) | ![B: $i] : ((~less_3(B)) | (v84(constB110, B) <=> v123(constB110, B)))),
% 8.88/6.47 inference(unit_resolution,[status(thm)],[18758, 9902])).
% 8.88/6.47 tff(18760,plain,
% 8.88/6.47 (![B: $i] : ((~less_3(B)) | (v84(constB110, B) <=> v123(constB110, B)))),
% 8.88/6.47 inference(unit_resolution,[status(thm)],[18759, 18755])).
% 8.88/6.47 tff(18761,plain,
% 8.88/6.47 (((~![B: $i] : ((~less_3(B)) | (v84(constB110, B) <=> v123(constB110, B)))) | ((~less_3(bitIndex2)) | (v84(constB110, bitIndex2) <=> v123(constB110, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB110, B) <=> v123(constB110, B)))) | (~less_3(bitIndex2)) | (v84(constB110, bitIndex2) <=> v123(constB110, bitIndex2)))),
% 8.88/6.47 inference(rewrite,[status(thm)],[])).
% 8.88/6.47 tff(18762,plain,
% 8.88/6.47 ((~![B: $i] : ((~less_3(B)) | (v84(constB110, B) <=> v123(constB110, B)))) | ((~less_3(bitIndex2)) | (v84(constB110, bitIndex2) <=> v123(constB110, bitIndex2)))),
% 8.88/6.47 inference(quant_inst,[status(thm)],[])).
% 8.88/6.47 tff(18763,plain,
% 8.88/6.47 ((~![B: $i] : ((~less_3(B)) | (v84(constB110, B) <=> v123(constB110, B)))) | (~less_3(bitIndex2)) | (v84(constB110, bitIndex2) <=> v123(constB110, bitIndex2))),
% 8.88/6.47 inference(modus_ponens,[status(thm)],[18762, 18761])).
% 8.88/6.47 tff(18764,plain,
% 8.88/6.47 (v84(constB110, bitIndex2) <=> v123(constB110, bitIndex2)),
% 8.88/6.47 inference(unit_resolution,[status(thm)],[18763, 832, 18760])).
% 8.88/6.47 tff(18765,plain,
% 8.88/6.47 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB109, constB110)) | ![B: $i] : ((~less_3(B)) | (v123(constB110, B) <=> v121(constB109, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB109, constB110)) | ![B: $i] : ((~less_3(B)) | (v123(constB110, B) <=> v121(constB109, B))))),
% 8.88/6.47 inference(rewrite,[status(thm)],[])).
% 8.88/6.47 tff(18766,plain,
% 8.88/6.47 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB109, constB110)) | ![B: $i] : ((~less_3(B)) | (v123(constB110, B) <=> v121(constB109, B))))),
% 8.88/6.47 inference(quant_inst,[status(thm)],[])).
% 8.88/6.47 tff(18767,plain,
% 8.88/6.47 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB109, constB110)) | ![B: $i] : ((~less_3(B)) | (v123(constB110, B) <=> v121(constB109, B)))),
% 8.88/6.47 inference(modus_ponens,[status(thm)],[18766, 18765])).
% 8.88/6.47 tff(18768,plain,
% 8.88/6.47 (![B: $i] : ((~less_3(B)) | (v123(constB110, B) <=> v121(constB109, B)))),
% 8.88/6.47 inference(unit_resolution,[status(thm)],[18767, 4748, 9924])).
% 8.88/6.47 tff(18769,plain,
% 8.88/6.47 (((~![B: $i] : ((~less_3(B)) | (v123(constB110, B) <=> v121(constB109, B)))) | ((~less_3(bitIndex2)) | (v123(constB110, bitIndex2) <=> v121(constB109, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB110, B) <=> v121(constB109, B)))) | (~less_3(bitIndex2)) | (v123(constB110, bitIndex2) <=> v121(constB109, bitIndex2)))),
% 8.88/6.47 inference(rewrite,[status(thm)],[])).
% 8.88/6.47 tff(18770,plain,
% 8.88/6.47 ((~![B: $i] : ((~less_3(B)) | (v123(constB110, B) <=> v121(constB109, B)))) | ((~less_3(bitIndex2)) | (v123(constB110, bitIndex2) <=> v121(constB109, bitIndex2)))),
% 8.88/6.47 inference(quant_inst,[status(thm)],[])).
% 8.88/6.47 tff(18771,plain,
% 8.88/6.47 ((~![B: $i] : ((~less_3(B)) | (v123(constB110, B) <=> v121(constB109, B)))) | (~less_3(bitIndex2)) | (v123(constB110, bitIndex2) <=> v121(constB109, bitIndex2))),
% 8.88/6.47 inference(modus_ponens,[status(thm)],[18770, 18769])).
% 8.88/6.47 tff(18772,plain,
% 8.88/6.47 (v123(constB110, bitIndex2) <=> v121(constB109, bitIndex2)),
% 8.88/6.47 inference(unit_resolution,[status(thm)],[18771, 832, 18768])).
% 8.88/6.47 tff(18773,plain,
% 8.88/6.47 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB109) | ![B: $i] : ((~less_3(B)) | (v121(constB109, B) <=> v124(constB109, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB109) | ![B: $i] : ((~less_3(B)) | (v121(constB109, B) <=> v124(constB109, B))))),
% 8.88/6.47 inference(rewrite,[status(thm)],[])).
% 8.88/6.47 tff(18774,plain,
% 8.88/6.47 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB109) | ![B: $i] : ((~less_3(B)) | (v121(constB109, B) <=> v124(constB109, B))))),
% 8.88/6.47 inference(quant_inst,[status(thm)],[])).
% 8.88/6.47 tff(18775,plain,
% 8.88/6.47 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB109) | ![B: $i] : ((~less_3(B)) | (v121(constB109, B) <=> v124(constB109, B)))),
% 8.88/6.47 inference(modus_ponens,[status(thm)],[18774, 18773])).
% 8.88/6.47 tff(18776,plain,
% 8.88/6.47 (![B: $i] : ((~less_3(B)) | (v121(constB109, B) <=> v124(constB109, B)))),
% 8.88/6.47 inference(unit_resolution,[status(thm)],[18775, 9945, 18737])).
% 8.88/6.47 tff(18777,plain,
% 8.88/6.47 (((~![B: $i] : ((~less_3(B)) | (v121(constB109, B) <=> v124(constB109, B)))) | ((~less_3(bitIndex2)) | (v121(constB109, bitIndex2) <=> v124(constB109, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB109, B) <=> v124(constB109, B)))) | (~less_3(bitIndex2)) | (v121(constB109, bitIndex2) <=> v124(constB109, bitIndex2)))),
% 8.88/6.47 inference(rewrite,[status(thm)],[])).
% 8.88/6.47 tff(18778,plain,
% 8.88/6.47 ((~![B: $i] : ((~less_3(B)) | (v121(constB109, B) <=> v124(constB109, B)))) | ((~less_3(bitIndex2)) | (v121(constB109, bitIndex2) <=> v124(constB109, bitIndex2)))),
% 8.88/6.47 inference(quant_inst,[status(thm)],[])).
% 8.88/6.47 tff(18779,plain,
% 8.88/6.47 ((~![B: $i] : ((~less_3(B)) | (v121(constB109, B) <=> v124(constB109, B)))) | (~less_3(bitIndex2)) | (v121(constB109, bitIndex2) <=> v124(constB109, bitIndex2))),
% 8.88/6.47 inference(modus_ponens,[status(thm)],[18778, 18777])).
% 8.88/6.47 tff(18780,plain,
% 8.88/6.47 (v121(constB109, bitIndex2) <=> v124(constB109, bitIndex2)),
% 8.88/6.47 inference(unit_resolution,[status(thm)],[18779, 832, 18776])).
% 8.88/6.47 tff(18781,plain,
% 8.88/6.47 ((~![VarCurr: $i] : (v113(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))))) | (v113(constB109) <=> (~(v84(constB109, bitIndex0) | v84(constB109, bitIndex1) | v84(constB109, bitIndex2))))),
% 8.88/6.47 inference(quant_inst,[status(thm)],[])).
% 8.88/6.47 tff(18782,plain,
% 8.88/6.47 (v113(constB109) <=> (~(v84(constB109, bitIndex0) | v84(constB109, bitIndex1) | v84(constB109, bitIndex2)))),
% 8.88/6.47 inference(unit_resolution,[status(thm)],[18781, 9739])).
% 8.88/6.47 tff(18783,plain,
% 8.88/6.47 ((v84(constB109, bitIndex0) | v84(constB109, bitIndex1) | v84(constB109, bitIndex2)) | (~v84(constB109, bitIndex2))),
% 8.88/6.47 inference(tautology,[status(thm)],[])).
% 8.88/6.47 tff(18784,plain,
% 8.88/6.47 (v84(constB109, bitIndex0) | v84(constB109, bitIndex1) | v84(constB109, bitIndex2)),
% 8.88/6.47 inference(unit_resolution,[status(thm)],[18783, 18658])).
% 8.88/6.47 tff(18785,plain,
% 8.88/6.47 ((~(v113(constB109) <=> (~(v84(constB109, bitIndex0) | v84(constB109, bitIndex1) | v84(constB109, bitIndex2))))) | (~v113(constB109)) | (~(v84(constB109, bitIndex0) | v84(constB109, bitIndex1) | v84(constB109, bitIndex2)))),
% 8.88/6.47 inference(tautology,[status(thm)],[])).
% 8.88/6.47 tff(18786,plain,
% 8.88/6.47 (~v113(constB109)),
% 8.88/6.47 inference(unit_resolution,[status(thm)],[18785, 18784, 18782])).
% 8.88/6.47 tff(18787,plain,
% 8.88/6.47 (((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB109) <=> (~((~v84(constB109, bitIndex2)) | v84(constB109, bitIndex1) | (~v84(constB109, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB109) <=> (~((~v84(constB109, bitIndex2)) | v84(constB109, bitIndex1) | (~v84(constB109, bitIndex0))))))),
% 8.88/6.47 inference(rewrite,[status(thm)],[])).
% 8.88/6.47 tff(18788,plain,
% 8.88/6.47 ((v118(constB109) <=> (~(v84(constB109, bitIndex1) | (~v84(constB109, bitIndex0)) | (~v84(constB109, bitIndex2))))) <=> (v118(constB109) <=> (~((~v84(constB109, bitIndex2)) | v84(constB109, bitIndex1) | (~v84(constB109, bitIndex0)))))),
% 8.88/6.47 inference(rewrite,[status(thm)],[])).
% 8.88/6.47 tff(18789,plain,
% 8.88/6.47 (((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB109) <=> (~(v84(constB109, bitIndex1) | (~v84(constB109, bitIndex0)) | (~v84(constB109, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB109) <=> (~((~v84(constB109, bitIndex2)) | v84(constB109, bitIndex1) | (~v84(constB109, bitIndex0))))))),
% 8.88/6.47 inference(monotonicity,[status(thm)],[18788])).
% 8.88/6.47 tff(18790,plain,
% 8.88/6.47 (((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB109) <=> (~(v84(constB109, bitIndex1) | (~v84(constB109, bitIndex0)) | (~v84(constB109, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB109) <=> (~((~v84(constB109, bitIndex2)) | v84(constB109, bitIndex1) | (~v84(constB109, bitIndex0))))))),
% 8.88/6.47 inference(transitivity,[status(thm)],[18789, 18787])).
% 8.88/6.47 tff(18791,plain,
% 8.88/6.47 ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB109) <=> (~(v84(constB109, bitIndex1) | (~v84(constB109, bitIndex0)) | (~v84(constB109, bitIndex2)))))),
% 8.88/6.47 inference(quant_inst,[status(thm)],[])).
% 8.88/6.47 tff(18792,plain,
% 8.88/6.47 ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB109) <=> (~((~v84(constB109, bitIndex2)) | v84(constB109, bitIndex1) | (~v84(constB109, bitIndex0)))))),
% 8.88/6.47 inference(modus_ponens,[status(thm)],[18791, 18790])).
% 8.88/6.47 tff(18793,plain,
% 8.88/6.47 (v118(constB109) <=> (~((~v84(constB109, bitIndex2)) | v84(constB109, bitIndex1) | (~v84(constB109, bitIndex0))))),
% 8.88/6.47 inference(unit_resolution,[status(thm)],[18792, 960])).
% 8.88/6.47 tff(18794,plain,
% 8.88/6.47 (((~v84(constB109, bitIndex2)) | v84(constB109, bitIndex1) | (~v84(constB109, bitIndex0))) | (~v84(constB109, bitIndex1))),
% 8.88/6.47 inference(tautology,[status(thm)],[])).
% 8.88/6.47 tff(18795,plain,
% 8.88/6.47 ((~v84(constB109, bitIndex2)) | v84(constB109, bitIndex1) | (~v84(constB109, bitIndex0))),
% 8.88/6.47 inference(unit_resolution,[status(thm)],[18794, 18720])).
% 8.88/6.47 tff(18796,plain,
% 8.88/6.47 ((~(v118(constB109) <=> (~((~v84(constB109, bitIndex2)) | v84(constB109, bitIndex1) | (~v84(constB109, bitIndex0)))))) | (~v118(constB109)) | (~((~v84(constB109, bitIndex2)) | v84(constB109, bitIndex1) | (~v84(constB109, bitIndex0))))),
% 8.88/6.47 inference(tautology,[status(thm)],[])).
% 8.88/6.47 tff(18797,plain,
% 8.88/6.47 (~v118(constB109)),
% 8.88/6.47 inference(unit_resolution,[status(thm)],[18796, 18795, 18793])).
% 8.88/6.47 tff(18798,plain,
% 8.88/6.47 (((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB109) <=> (~((~v84(constB109, bitIndex2)) | v84(constB109, bitIndex1) | v84(constB109, bitIndex0))))) <=> ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB109) <=> (~((~v84(constB109, bitIndex2)) | v84(constB109, bitIndex1) | v84(constB109, bitIndex0)))))),
% 8.88/6.47 inference(rewrite,[status(thm)],[])).
% 8.88/6.47 tff(18799,plain,
% 8.88/6.47 ((v117(constB109) <=> (~(v84(constB109, bitIndex0) | v84(constB109, bitIndex1) | (~v84(constB109, bitIndex2))))) <=> (v117(constB109) <=> (~((~v84(constB109, bitIndex2)) | v84(constB109, bitIndex1) | v84(constB109, bitIndex0))))),
% 8.88/6.47 inference(rewrite,[status(thm)],[])).
% 8.88/6.47 tff(18800,plain,
% 8.88/6.47 (((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB109) <=> (~(v84(constB109, bitIndex0) | v84(constB109, bitIndex1) | (~v84(constB109, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB109) <=> (~((~v84(constB109, bitIndex2)) | v84(constB109, bitIndex1) | v84(constB109, bitIndex0)))))),
% 8.88/6.47 inference(monotonicity,[status(thm)],[18799])).
% 8.88/6.47 tff(18801,plain,
% 8.88/6.47 (((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB109) <=> (~(v84(constB109, bitIndex0) | v84(constB109, bitIndex1) | (~v84(constB109, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB109) <=> (~((~v84(constB109, bitIndex2)) | v84(constB109, bitIndex1) | v84(constB109, bitIndex0)))))),
% 8.88/6.47 inference(transitivity,[status(thm)],[18800, 18798])).
% 8.88/6.47 tff(18802,plain,
% 8.88/6.47 ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB109) <=> (~(v84(constB109, bitIndex0) | v84(constB109, bitIndex1) | (~v84(constB109, bitIndex2)))))),
% 8.88/6.47 inference(quant_inst,[status(thm)],[])).
% 8.88/6.47 tff(18803,plain,
% 8.88/6.47 ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB109) <=> (~((~v84(constB109, bitIndex2)) | v84(constB109, bitIndex1) | v84(constB109, bitIndex0))))),
% 8.88/6.47 inference(modus_ponens,[status(thm)],[18802, 18801])).
% 8.88/6.47 tff(18804,plain,
% 8.88/6.47 (v117(constB109) <=> (~((~v84(constB109, bitIndex2)) | v84(constB109, bitIndex1) | v84(constB109, bitIndex0)))),
% 8.88/6.47 inference(unit_resolution,[status(thm)],[18803, 1071])).
% 8.88/6.47 tff(18805,plain,
% 8.88/6.47 (((~v84(constB109, bitIndex2)) | v84(constB109, bitIndex1) | v84(constB109, bitIndex0)) | (~v84(constB109, bitIndex1))),
% 8.88/6.47 inference(tautology,[status(thm)],[])).
% 8.88/6.47 tff(18806,plain,
% 8.88/6.47 ((~v84(constB109, bitIndex2)) | v84(constB109, bitIndex1) | v84(constB109, bitIndex0)),
% 8.88/6.47 inference(unit_resolution,[status(thm)],[18805, 18720])).
% 8.88/6.47 tff(18807,plain,
% 8.88/6.47 ((~(v117(constB109) <=> (~((~v84(constB109, bitIndex2)) | v84(constB109, bitIndex1) | v84(constB109, bitIndex0))))) | (~v117(constB109)) | (~((~v84(constB109, bitIndex2)) | v84(constB109, bitIndex1) | v84(constB109, bitIndex0)))),
% 8.88/6.47 inference(tautology,[status(thm)],[])).
% 8.88/6.47 tff(18808,plain,
% 8.88/6.47 (~v117(constB109)),
% 8.88/6.47 inference(unit_resolution,[status(thm)],[18807, 18806, 18804])).
% 8.88/6.47 tff(18809,plain,
% 8.88/6.47 ((~![VarCurr: $i] : (v116(VarCurr) <=> (~(v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex0)))))) | (v116(constB109) <=> (~(v84(constB109, bitIndex2) | (~v84(constB109, bitIndex1)) | (~v84(constB109, bitIndex0)))))),
% 8.88/6.47 inference(quant_inst,[status(thm)],[])).
% 8.88/6.47 tff(18810,plain,
% 8.88/6.47 (v116(constB109) <=> (~(v84(constB109, bitIndex2) | (~v84(constB109, bitIndex1)) | (~v84(constB109, bitIndex0))))),
% 8.88/6.47 inference(unit_resolution,[status(thm)],[18809, 1184])).
% 8.88/6.47 tff(18811,plain,
% 8.88/6.47 ((v84(constB109, bitIndex2) | (~v84(constB109, bitIndex1)) | (~v84(constB109, bitIndex0))) | (~v84(constB109, bitIndex2))),
% 8.88/6.47 inference(tautology,[status(thm)],[])).
% 8.88/6.47 tff(18812,plain,
% 8.88/6.47 (v84(constB109, bitIndex2) | (~v84(constB109, bitIndex1)) | (~v84(constB109, bitIndex0))),
% 8.88/6.47 inference(unit_resolution,[status(thm)],[18811, 18658])).
% 8.88/6.47 tff(18813,plain,
% 8.88/6.47 ((~(v116(constB109) <=> (~(v84(constB109, bitIndex2) | (~v84(constB109, bitIndex1)) | (~v84(constB109, bitIndex0)))))) | (~v116(constB109)) | (~(v84(constB109, bitIndex2) | (~v84(constB109, bitIndex1)) | (~v84(constB109, bitIndex0))))),
% 8.88/6.47 inference(tautology,[status(thm)],[])).
% 8.88/6.47 tff(18814,plain,
% 8.88/6.47 (~v116(constB109)),
% 8.88/6.47 inference(unit_resolution,[status(thm)],[18813, 18812, 18810])).
% 8.88/6.47 tff(18815,plain,
% 8.88/6.47 (((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB109) <=> (~(v84(constB109, bitIndex2) | (~v84(constB109, bitIndex1)) | v84(constB109, bitIndex0))))) <=> ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB109) <=> (~(v84(constB109, bitIndex2) | (~v84(constB109, bitIndex1)) | v84(constB109, bitIndex0)))))),
% 8.88/6.47 inference(rewrite,[status(thm)],[])).
% 8.88/6.47 tff(18816,plain,
% 8.88/6.47 ((v115(constB109) <=> (~(v84(constB109, bitIndex0) | v84(constB109, bitIndex2) | (~v84(constB109, bitIndex1))))) <=> (v115(constB109) <=> (~(v84(constB109, bitIndex2) | (~v84(constB109, bitIndex1)) | v84(constB109, bitIndex0))))),
% 8.88/6.47 inference(rewrite,[status(thm)],[])).
% 8.88/6.47 tff(18817,plain,
% 8.88/6.47 (((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB109) <=> (~(v84(constB109, bitIndex0) | v84(constB109, bitIndex2) | (~v84(constB109, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB109) <=> (~(v84(constB109, bitIndex2) | (~v84(constB109, bitIndex1)) | v84(constB109, bitIndex0)))))),
% 8.88/6.47 inference(monotonicity,[status(thm)],[18816])).
% 8.88/6.47 tff(18818,plain,
% 8.88/6.47 (((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB109) <=> (~(v84(constB109, bitIndex0) | v84(constB109, bitIndex2) | (~v84(constB109, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB109) <=> (~(v84(constB109, bitIndex2) | (~v84(constB109, bitIndex1)) | v84(constB109, bitIndex0)))))),
% 8.88/6.47 inference(transitivity,[status(thm)],[18817, 18815])).
% 8.88/6.47 tff(18819,plain,
% 8.88/6.47 ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB109) <=> (~(v84(constB109, bitIndex0) | v84(constB109, bitIndex2) | (~v84(constB109, bitIndex1)))))),
% 8.88/6.47 inference(quant_inst,[status(thm)],[])).
% 8.88/6.47 tff(18820,plain,
% 8.88/6.47 ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB109) <=> (~(v84(constB109, bitIndex2) | (~v84(constB109, bitIndex1)) | v84(constB109, bitIndex0))))),
% 8.88/6.47 inference(modus_ponens,[status(thm)],[18819, 18818])).
% 8.88/6.47 tff(18821,plain,
% 8.88/6.47 (v115(constB109) <=> (~(v84(constB109, bitIndex2) | (~v84(constB109, bitIndex1)) | v84(constB109, bitIndex0)))),
% 8.88/6.47 inference(unit_resolution,[status(thm)],[18820, 1294])).
% 8.88/6.47 tff(18822,plain,
% 8.88/6.47 ((v84(constB109, bitIndex2) | (~v84(constB109, bitIndex1)) | v84(constB109, bitIndex0)) | (~v84(constB109, bitIndex2))),
% 8.88/6.47 inference(tautology,[status(thm)],[])).
% 8.88/6.47 tff(18823,plain,
% 8.88/6.47 (v84(constB109, bitIndex2) | (~v84(constB109, bitIndex1)) | v84(constB109, bitIndex0)),
% 8.88/6.47 inference(unit_resolution,[status(thm)],[18822, 18658])).
% 8.88/6.47 tff(18824,plain,
% 8.88/6.47 ((~(v115(constB109) <=> (~(v84(constB109, bitIndex2) | (~v84(constB109, bitIndex1)) | v84(constB109, bitIndex0))))) | (~v115(constB109)) | (~(v84(constB109, bitIndex2) | (~v84(constB109, bitIndex1)) | v84(constB109, bitIndex0)))),
% 8.88/6.47 inference(tautology,[status(thm)],[])).
% 8.88/6.47 tff(18825,plain,
% 8.88/6.47 (~v115(constB109)),
% 8.88/6.47 inference(unit_resolution,[status(thm)],[18824, 18823, 18821])).
% 8.88/6.47 tff(18826,plain,
% 8.88/6.47 (((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB109) <=> (~(v84(constB109, bitIndex2) | v84(constB109, bitIndex1) | (~v84(constB109, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB109) <=> (~(v84(constB109, bitIndex2) | v84(constB109, bitIndex1) | (~v84(constB109, bitIndex0))))))),
% 8.88/6.47 inference(rewrite,[status(thm)],[])).
% 8.88/6.47 tff(18827,plain,
% 8.88/6.47 ((v114(constB109) <=> (~(v84(constB109, bitIndex1) | v84(constB109, bitIndex2) | (~v84(constB109, bitIndex0))))) <=> (v114(constB109) <=> (~(v84(constB109, bitIndex2) | v84(constB109, bitIndex1) | (~v84(constB109, bitIndex0)))))),
% 8.88/6.47 inference(rewrite,[status(thm)],[])).
% 8.88/6.47 tff(18828,plain,
% 8.88/6.47 (((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB109) <=> (~(v84(constB109, bitIndex1) | v84(constB109, bitIndex2) | (~v84(constB109, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB109) <=> (~(v84(constB109, bitIndex2) | v84(constB109, bitIndex1) | (~v84(constB109, bitIndex0))))))),
% 8.88/6.47 inference(monotonicity,[status(thm)],[18827])).
% 8.88/6.47 tff(18829,plain,
% 8.88/6.47 (((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB109) <=> (~(v84(constB109, bitIndex1) | v84(constB109, bitIndex2) | (~v84(constB109, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB109) <=> (~(v84(constB109, bitIndex2) | v84(constB109, bitIndex1) | (~v84(constB109, bitIndex0))))))),
% 8.88/6.47 inference(transitivity,[status(thm)],[18828, 18826])).
% 8.88/6.47 tff(18830,plain,
% 8.88/6.47 ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB109) <=> (~(v84(constB109, bitIndex1) | v84(constB109, bitIndex2) | (~v84(constB109, bitIndex0)))))),
% 8.88/6.47 inference(quant_inst,[status(thm)],[])).
% 8.88/6.47 tff(18831,plain,
% 8.88/6.47 ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB109) <=> (~(v84(constB109, bitIndex2) | v84(constB109, bitIndex1) | (~v84(constB109, bitIndex0)))))),
% 8.88/6.47 inference(modus_ponens,[status(thm)],[18830, 18829])).
% 8.88/6.47 tff(18832,plain,
% 8.88/6.47 (v114(constB109) <=> (~(v84(constB109, bitIndex2) | v84(constB109, bitIndex1) | (~v84(constB109, bitIndex0))))),
% 8.88/6.47 inference(unit_resolution,[status(thm)],[18831, 1411])).
% 8.88/6.47 tff(18833,plain,
% 8.88/6.47 ((v84(constB109, bitIndex2) | v84(constB109, bitIndex1) | (~v84(constB109, bitIndex0))) | (~v84(constB109, bitIndex2))),
% 8.88/6.47 inference(tautology,[status(thm)],[])).
% 8.88/6.47 tff(18834,plain,
% 8.88/6.47 (v84(constB109, bitIndex2) | v84(constB109, bitIndex1) | (~v84(constB109, bitIndex0))),
% 8.88/6.47 inference(unit_resolution,[status(thm)],[18833, 18658])).
% 8.88/6.47 tff(18835,plain,
% 8.88/6.47 ((~(v114(constB109) <=> (~(v84(constB109, bitIndex2) | v84(constB109, bitIndex1) | (~v84(constB109, bitIndex0)))))) | (~v114(constB109)) | (~(v84(constB109, bitIndex2) | v84(constB109, bitIndex1) | (~v84(constB109, bitIndex0))))),
% 8.88/6.47 inference(tautology,[status(thm)],[])).
% 8.88/6.47 tff(18836,plain,
% 8.88/6.47 (~v114(constB109)),
% 8.88/6.47 inference(unit_resolution,[status(thm)],[18835, 18834, 18832])).
% 8.88/6.47 tff(18837,plain,
% 8.88/6.47 (((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | (v113(constB109) | v114(constB109) | v115(constB109) | v116(constB109) | v117(constB109) | v118(constB109) | ![B: $i] : ((~less_3(B)) | (v124(constB109, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | v113(constB109) | v114(constB109) | v115(constB109) | v116(constB109) | v117(constB109) | v118(constB109) | ![B: $i] : ((~less_3(B)) | (v124(constB109, B) <=> b001(B))))),
% 8.88/6.48 inference(rewrite,[status(thm)],[])).
% 8.88/6.48 tff(18838,plain,
% 8.88/6.48 ((v118(constB109) | v117(constB109) | v116(constB109) | v115(constB109) | v114(constB109) | v113(constB109) | ![B: $i] : ((~less_3(B)) | (v124(constB109, B) <=> b001(B)))) <=> (v113(constB109) | v114(constB109) | v115(constB109) | v116(constB109) | v117(constB109) | v118(constB109) | ![B: $i] : ((~less_3(B)) | (v124(constB109, B) <=> b001(B))))),
% 8.88/6.48 inference(rewrite,[status(thm)],[])).
% 8.88/6.48 tff(18839,plain,
% 8.88/6.48 (((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | (v118(constB109) | v117(constB109) | v116(constB109) | v115(constB109) | v114(constB109) | v113(constB109) | ![B: $i] : ((~less_3(B)) | (v124(constB109, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | (v113(constB109) | v114(constB109) | v115(constB109) | v116(constB109) | v117(constB109) | v118(constB109) | ![B: $i] : ((~less_3(B)) | (v124(constB109, B) <=> b001(B)))))),
% 8.88/6.48 inference(monotonicity,[status(thm)],[18838])).
% 8.88/6.48 tff(18840,plain,
% 8.88/6.48 (((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | (v118(constB109) | v117(constB109) | v116(constB109) | v115(constB109) | v114(constB109) | v113(constB109) | ![B: $i] : ((~less_3(B)) | (v124(constB109, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | v113(constB109) | v114(constB109) | v115(constB109) | v116(constB109) | v117(constB109) | v118(constB109) | ![B: $i] : ((~less_3(B)) | (v124(constB109, B) <=> b001(B))))),
% 8.88/6.48 inference(transitivity,[status(thm)],[18839, 18837])).
% 8.88/6.48 tff(18841,plain,
% 8.88/6.48 ((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | (v118(constB109) | v117(constB109) | v116(constB109) | v115(constB109) | v114(constB109) | v113(constB109) | ![B: $i] : ((~less_3(B)) | (v124(constB109, B) <=> b001(B))))),
% 8.88/6.48 inference(quant_inst,[status(thm)],[])).
% 8.88/6.48 tff(18842,plain,
% 8.88/6.48 ((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | v113(constB109) | v114(constB109) | v115(constB109) | v116(constB109) | v117(constB109) | v118(constB109) | ![B: $i] : ((~less_3(B)) | (v124(constB109, B) <=> b001(B)))),
% 8.88/6.48 inference(modus_ponens,[status(thm)],[18841, 18840])).
% 8.88/6.48 tff(18843,plain,
% 8.88/6.48 (v113(constB109) | v114(constB109) | v115(constB109) | v116(constB109) | v117(constB109) | v118(constB109) | ![B: $i] : ((~less_3(B)) | (v124(constB109, B) <=> b001(B)))),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[18842, 11068])).
% 8.88/6.48 tff(18844,plain,
% 8.88/6.48 (![B: $i] : ((~less_3(B)) | (v124(constB109, B) <=> b001(B)))),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[18843, 18836, 18825, 18814, 18808, 18797, 18786])).
% 8.88/6.48 tff(18845,plain,
% 8.88/6.48 (((~![B: $i] : ((~less_3(B)) | (v124(constB109, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v124(constB109, bitIndex2) <=> b001(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB109, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v124(constB109, bitIndex2) <=> b001(bitIndex2)))),
% 8.88/6.48 inference(rewrite,[status(thm)],[])).
% 8.88/6.48 tff(18846,plain,
% 8.88/6.48 ((~![B: $i] : ((~less_3(B)) | (v124(constB109, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v124(constB109, bitIndex2) <=> b001(bitIndex2)))),
% 8.88/6.48 inference(quant_inst,[status(thm)],[])).
% 8.88/6.48 tff(18847,plain,
% 8.88/6.48 ((~![B: $i] : ((~less_3(B)) | (v124(constB109, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v124(constB109, bitIndex2) <=> b001(bitIndex2))),
% 8.88/6.48 inference(modus_ponens,[status(thm)],[18846, 18845])).
% 8.88/6.48 tff(18848,plain,
% 8.88/6.48 (v124(constB109, bitIndex2) <=> b001(bitIndex2)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[18847, 832, 18844])).
% 8.88/6.48 tff(18849,plain,
% 8.88/6.48 ((~(v124(constB109, bitIndex2) <=> b001(bitIndex2))) | (~v124(constB109, bitIndex2)) | b001(bitIndex2)),
% 8.88/6.48 inference(tautology,[status(thm)],[])).
% 8.88/6.48 tff(18850,plain,
% 8.88/6.48 ((~(v124(constB109, bitIndex2) <=> b001(bitIndex2))) | (~v124(constB109, bitIndex2))),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[18849, 9977])).
% 8.88/6.48 tff(18851,plain,
% 8.88/6.48 (~v124(constB109, bitIndex2)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[18850, 18848])).
% 8.88/6.48 tff(18852,plain,
% 8.88/6.48 ((~(v121(constB109, bitIndex2) <=> v124(constB109, bitIndex2))) | (~v121(constB109, bitIndex2)) | v124(constB109, bitIndex2)),
% 8.88/6.48 inference(tautology,[status(thm)],[])).
% 8.88/6.48 tff(18853,plain,
% 8.88/6.48 (~v121(constB109, bitIndex2)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[18852, 18851, 18780])).
% 8.88/6.48 tff(18854,plain,
% 8.88/6.48 ((~(v123(constB110, bitIndex2) <=> v121(constB109, bitIndex2))) | (~v123(constB110, bitIndex2)) | v121(constB109, bitIndex2)),
% 8.88/6.48 inference(tautology,[status(thm)],[])).
% 8.88/6.48 tff(18855,plain,
% 8.88/6.48 (~v123(constB110, bitIndex2)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[18854, 18853, 18772])).
% 8.88/6.48 tff(18856,plain,
% 8.88/6.48 ((~(v84(constB110, bitIndex2) <=> v123(constB110, bitIndex2))) | (~v84(constB110, bitIndex2)) | v123(constB110, bitIndex2)),
% 8.88/6.48 inference(tautology,[status(thm)],[])).
% 8.88/6.48 tff(18857,plain,
% 8.88/6.48 (~v84(constB110, bitIndex2)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[18856, 18855, 18764])).
% 8.88/6.48 tff(18858,plain,
% 8.88/6.48 ((~(v84(constB111, bitIndex2) <=> v84(constB110, bitIndex2))) | (~v84(constB111, bitIndex2)) | v84(constB110, bitIndex2)),
% 8.88/6.48 inference(tautology,[status(thm)],[])).
% 8.88/6.48 tff(18859,plain,
% 8.88/6.48 (~v84(constB111, bitIndex2)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[18858, 18857, 4745])).
% 8.88/6.48 tff(18860,plain,
% 8.88/6.48 (((~![B: $i] : ((~less_3(B)) | (v84(constB111, B) <=> v84(constB110, B)))) | ((~less_3(bitIndex0)) | (v84(constB111, bitIndex0) <=> v84(constB110, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB111, B) <=> v84(constB110, B)))) | (~less_3(bitIndex0)) | (v84(constB111, bitIndex0) <=> v84(constB110, bitIndex0)))),
% 8.88/6.48 inference(rewrite,[status(thm)],[])).
% 8.88/6.48 tff(18861,plain,
% 8.88/6.48 ((~![B: $i] : ((~less_3(B)) | (v84(constB111, B) <=> v84(constB110, B)))) | ((~less_3(bitIndex0)) | (v84(constB111, bitIndex0) <=> v84(constB110, bitIndex0)))),
% 8.88/6.48 inference(quant_inst,[status(thm)],[])).
% 8.88/6.48 tff(18862,plain,
% 8.88/6.48 ((~![B: $i] : ((~less_3(B)) | (v84(constB111, B) <=> v84(constB110, B)))) | (~less_3(bitIndex0)) | (v84(constB111, bitIndex0) <=> v84(constB110, bitIndex0))),
% 8.88/6.48 inference(modus_ponens,[status(thm)],[18861, 18860])).
% 8.88/6.48 tff(18863,plain,
% 8.88/6.48 (v84(constB111, bitIndex0) <=> v84(constB110, bitIndex0)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[18862, 9772, 4741])).
% 8.88/6.48 tff(18864,plain,
% 8.88/6.48 (((~![B: $i] : ((~less_3(B)) | (v84(constB110, B) <=> v123(constB110, B)))) | ((~less_3(bitIndex0)) | (v84(constB110, bitIndex0) <=> v123(constB110, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB110, B) <=> v123(constB110, B)))) | (~less_3(bitIndex0)) | (v84(constB110, bitIndex0) <=> v123(constB110, bitIndex0)))),
% 8.88/6.48 inference(rewrite,[status(thm)],[])).
% 8.88/6.48 tff(18865,plain,
% 8.88/6.48 ((~![B: $i] : ((~less_3(B)) | (v84(constB110, B) <=> v123(constB110, B)))) | ((~less_3(bitIndex0)) | (v84(constB110, bitIndex0) <=> v123(constB110, bitIndex0)))),
% 8.88/6.48 inference(quant_inst,[status(thm)],[])).
% 8.88/6.48 tff(18866,plain,
% 8.88/6.48 ((~![B: $i] : ((~less_3(B)) | (v84(constB110, B) <=> v123(constB110, B)))) | (~less_3(bitIndex0)) | (v84(constB110, bitIndex0) <=> v123(constB110, bitIndex0))),
% 8.88/6.48 inference(modus_ponens,[status(thm)],[18865, 18864])).
% 8.88/6.48 tff(18867,plain,
% 8.88/6.48 (v84(constB110, bitIndex0) <=> v123(constB110, bitIndex0)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[18866, 9772, 18760])).
% 8.88/6.48 tff(18868,plain,
% 8.88/6.48 (((~![B: $i] : ((~less_3(B)) | (v123(constB110, B) <=> v121(constB109, B)))) | ((~less_3(bitIndex0)) | (v123(constB110, bitIndex0) <=> v121(constB109, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB110, B) <=> v121(constB109, B)))) | (~less_3(bitIndex0)) | (v123(constB110, bitIndex0) <=> v121(constB109, bitIndex0)))),
% 8.88/6.48 inference(rewrite,[status(thm)],[])).
% 8.88/6.48 tff(18869,plain,
% 8.88/6.48 ((~![B: $i] : ((~less_3(B)) | (v123(constB110, B) <=> v121(constB109, B)))) | ((~less_3(bitIndex0)) | (v123(constB110, bitIndex0) <=> v121(constB109, bitIndex0)))),
% 8.88/6.48 inference(quant_inst,[status(thm)],[])).
% 8.88/6.48 tff(18870,plain,
% 8.88/6.48 ((~![B: $i] : ((~less_3(B)) | (v123(constB110, B) <=> v121(constB109, B)))) | (~less_3(bitIndex0)) | (v123(constB110, bitIndex0) <=> v121(constB109, bitIndex0))),
% 8.88/6.48 inference(modus_ponens,[status(thm)],[18869, 18868])).
% 8.88/6.48 tff(18871,plain,
% 8.88/6.48 (v123(constB110, bitIndex0) <=> v121(constB109, bitIndex0)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[18870, 9772, 18768])).
% 8.88/6.48 tff(18872,plain,
% 8.88/6.48 (((~![B: $i] : ((~less_3(B)) | (v121(constB109, B) <=> v124(constB109, B)))) | ((~less_3(bitIndex0)) | (v121(constB109, bitIndex0) <=> v124(constB109, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB109, B) <=> v124(constB109, B)))) | (~less_3(bitIndex0)) | (v121(constB109, bitIndex0) <=> v124(constB109, bitIndex0)))),
% 8.88/6.48 inference(rewrite,[status(thm)],[])).
% 8.88/6.48 tff(18873,plain,
% 8.88/6.48 ((~![B: $i] : ((~less_3(B)) | (v121(constB109, B) <=> v124(constB109, B)))) | ((~less_3(bitIndex0)) | (v121(constB109, bitIndex0) <=> v124(constB109, bitIndex0)))),
% 8.88/6.48 inference(quant_inst,[status(thm)],[])).
% 8.88/6.48 tff(18874,plain,
% 8.88/6.48 ((~![B: $i] : ((~less_3(B)) | (v121(constB109, B) <=> v124(constB109, B)))) | (~less_3(bitIndex0)) | (v121(constB109, bitIndex0) <=> v124(constB109, bitIndex0))),
% 8.88/6.48 inference(modus_ponens,[status(thm)],[18873, 18872])).
% 8.88/6.48 tff(18875,plain,
% 8.88/6.48 (v121(constB109, bitIndex0) <=> v124(constB109, bitIndex0)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[18874, 9772, 18776])).
% 8.88/6.48 tff(18876,plain,
% 8.88/6.48 (((~![B: $i] : ((~less_3(B)) | (v124(constB109, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v124(constB109, bitIndex0) <=> b001(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB109, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v124(constB109, bitIndex0) <=> b001(bitIndex0)))),
% 8.88/6.48 inference(rewrite,[status(thm)],[])).
% 8.88/6.48 tff(18877,plain,
% 8.88/6.48 ((~![B: $i] : ((~less_3(B)) | (v124(constB109, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v124(constB109, bitIndex0) <=> b001(bitIndex0)))),
% 8.88/6.48 inference(quant_inst,[status(thm)],[])).
% 8.88/6.48 tff(18878,plain,
% 8.88/6.48 ((~![B: $i] : ((~less_3(B)) | (v124(constB109, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v124(constB109, bitIndex0) <=> b001(bitIndex0))),
% 8.88/6.48 inference(modus_ponens,[status(thm)],[18877, 18876])).
% 8.88/6.48 tff(18879,plain,
% 8.88/6.48 (v124(constB109, bitIndex0) <=> b001(bitIndex0)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[18878, 9772, 18844])).
% 8.88/6.48 tff(18880,plain,
% 8.88/6.48 ((~(v124(constB109, bitIndex0) <=> b001(bitIndex0))) | v124(constB109, bitIndex0) | (~b001(bitIndex0))),
% 8.88/6.48 inference(tautology,[status(thm)],[])).
% 8.88/6.48 tff(18881,plain,
% 8.88/6.48 ((~(v124(constB109, bitIndex0) <=> b001(bitIndex0))) | v124(constB109, bitIndex0)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[18880, 10011])).
% 8.88/6.48 tff(18882,plain,
% 8.88/6.48 (v124(constB109, bitIndex0)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[18881, 18879])).
% 8.88/6.48 tff(18883,plain,
% 8.88/6.48 ((~(v121(constB109, bitIndex0) <=> v124(constB109, bitIndex0))) | v121(constB109, bitIndex0) | (~v124(constB109, bitIndex0))),
% 8.88/6.48 inference(tautology,[status(thm)],[])).
% 8.88/6.48 tff(18884,plain,
% 8.88/6.48 (v121(constB109, bitIndex0)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[18883, 18882, 18875])).
% 8.88/6.48 tff(18885,plain,
% 8.88/6.48 ((~(v123(constB110, bitIndex0) <=> v121(constB109, bitIndex0))) | v123(constB110, bitIndex0) | (~v121(constB109, bitIndex0))),
% 8.88/6.48 inference(tautology,[status(thm)],[])).
% 8.88/6.48 tff(18886,plain,
% 8.88/6.48 (v123(constB110, bitIndex0)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[18885, 18884, 18871])).
% 8.88/6.48 tff(18887,plain,
% 8.88/6.48 ((~(v84(constB110, bitIndex0) <=> v123(constB110, bitIndex0))) | v84(constB110, bitIndex0) | (~v123(constB110, bitIndex0))),
% 8.88/6.48 inference(tautology,[status(thm)],[])).
% 8.88/6.48 tff(18888,plain,
% 8.88/6.48 (v84(constB110, bitIndex0)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[18887, 18886, 18867])).
% 8.88/6.48 tff(18889,plain,
% 8.88/6.48 ((~(v84(constB111, bitIndex0) <=> v84(constB110, bitIndex0))) | v84(constB111, bitIndex0) | (~v84(constB110, bitIndex0))),
% 8.88/6.48 inference(tautology,[status(thm)],[])).
% 8.88/6.48 tff(18890,plain,
% 8.88/6.48 (v84(constB111, bitIndex0)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[18889, 18888, 18863])).
% 8.88/6.48 tff(18891,plain,
% 8.88/6.48 (((~![B: $i] : ((~less_3(B)) | (v84(constB111, B) <=> v84(constB110, B)))) | ((~less_3(bitIndex1)) | (v84(constB111, bitIndex1) <=> v84(constB110, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB111, B) <=> v84(constB110, B)))) | (~less_3(bitIndex1)) | (v84(constB111, bitIndex1) <=> v84(constB110, bitIndex1)))),
% 8.88/6.48 inference(rewrite,[status(thm)],[])).
% 8.88/6.48 tff(18892,plain,
% 8.88/6.48 ((~![B: $i] : ((~less_3(B)) | (v84(constB111, B) <=> v84(constB110, B)))) | ((~less_3(bitIndex1)) | (v84(constB111, bitIndex1) <=> v84(constB110, bitIndex1)))),
% 8.88/6.48 inference(quant_inst,[status(thm)],[])).
% 8.88/6.48 tff(18893,plain,
% 8.88/6.48 ((~![B: $i] : ((~less_3(B)) | (v84(constB111, B) <=> v84(constB110, B)))) | (~less_3(bitIndex1)) | (v84(constB111, bitIndex1) <=> v84(constB110, bitIndex1))),
% 8.88/6.48 inference(modus_ponens,[status(thm)],[18892, 18891])).
% 8.88/6.48 tff(18894,plain,
% 8.88/6.48 (v84(constB111, bitIndex1) <=> v84(constB110, bitIndex1)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[18893, 9785, 4741])).
% 8.88/6.48 tff(18895,plain,
% 8.88/6.48 (((~![B: $i] : ((~less_3(B)) | (v84(constB110, B) <=> v123(constB110, B)))) | ((~less_3(bitIndex1)) | (v84(constB110, bitIndex1) <=> v123(constB110, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB110, B) <=> v123(constB110, B)))) | (~less_3(bitIndex1)) | (v84(constB110, bitIndex1) <=> v123(constB110, bitIndex1)))),
% 8.88/6.48 inference(rewrite,[status(thm)],[])).
% 8.88/6.48 tff(18896,plain,
% 8.88/6.48 ((~![B: $i] : ((~less_3(B)) | (v84(constB110, B) <=> v123(constB110, B)))) | ((~less_3(bitIndex1)) | (v84(constB110, bitIndex1) <=> v123(constB110, bitIndex1)))),
% 8.88/6.48 inference(quant_inst,[status(thm)],[])).
% 8.88/6.48 tff(18897,plain,
% 8.88/6.48 ((~![B: $i] : ((~less_3(B)) | (v84(constB110, B) <=> v123(constB110, B)))) | (~less_3(bitIndex1)) | (v84(constB110, bitIndex1) <=> v123(constB110, bitIndex1))),
% 8.88/6.48 inference(modus_ponens,[status(thm)],[18896, 18895])).
% 8.88/6.48 tff(18898,plain,
% 8.88/6.48 (v84(constB110, bitIndex1) <=> v123(constB110, bitIndex1)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[18897, 9785, 18760])).
% 8.88/6.48 tff(18899,plain,
% 8.88/6.48 (((~![B: $i] : ((~less_3(B)) | (v123(constB110, B) <=> v121(constB109, B)))) | ((~less_3(bitIndex1)) | (v123(constB110, bitIndex1) <=> v121(constB109, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB110, B) <=> v121(constB109, B)))) | (~less_3(bitIndex1)) | (v123(constB110, bitIndex1) <=> v121(constB109, bitIndex1)))),
% 8.88/6.48 inference(rewrite,[status(thm)],[])).
% 8.88/6.48 tff(18900,plain,
% 8.88/6.48 ((~![B: $i] : ((~less_3(B)) | (v123(constB110, B) <=> v121(constB109, B)))) | ((~less_3(bitIndex1)) | (v123(constB110, bitIndex1) <=> v121(constB109, bitIndex1)))),
% 8.88/6.48 inference(quant_inst,[status(thm)],[])).
% 8.88/6.48 tff(18901,plain,
% 8.88/6.48 ((~![B: $i] : ((~less_3(B)) | (v123(constB110, B) <=> v121(constB109, B)))) | (~less_3(bitIndex1)) | (v123(constB110, bitIndex1) <=> v121(constB109, bitIndex1))),
% 8.88/6.48 inference(modus_ponens,[status(thm)],[18900, 18899])).
% 8.88/6.48 tff(18902,plain,
% 8.88/6.48 (v123(constB110, bitIndex1) <=> v121(constB109, bitIndex1)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[18901, 9785, 18768])).
% 8.88/6.48 tff(18903,plain,
% 8.88/6.48 (((~![B: $i] : ((~less_3(B)) | (v121(constB109, B) <=> v124(constB109, B)))) | ((~less_3(bitIndex1)) | (v121(constB109, bitIndex1) <=> v124(constB109, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB109, B) <=> v124(constB109, B)))) | (~less_3(bitIndex1)) | (v121(constB109, bitIndex1) <=> v124(constB109, bitIndex1)))),
% 8.88/6.48 inference(rewrite,[status(thm)],[])).
% 8.88/6.48 tff(18904,plain,
% 8.88/6.48 ((~![B: $i] : ((~less_3(B)) | (v121(constB109, B) <=> v124(constB109, B)))) | ((~less_3(bitIndex1)) | (v121(constB109, bitIndex1) <=> v124(constB109, bitIndex1)))),
% 8.88/6.48 inference(quant_inst,[status(thm)],[])).
% 8.88/6.48 tff(18905,plain,
% 8.88/6.48 ((~![B: $i] : ((~less_3(B)) | (v121(constB109, B) <=> v124(constB109, B)))) | (~less_3(bitIndex1)) | (v121(constB109, bitIndex1) <=> v124(constB109, bitIndex1))),
% 8.88/6.48 inference(modus_ponens,[status(thm)],[18904, 18903])).
% 8.88/6.48 tff(18906,plain,
% 8.88/6.48 (v121(constB109, bitIndex1) <=> v124(constB109, bitIndex1)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[18905, 9785, 18776])).
% 8.88/6.48 tff(18907,plain,
% 8.88/6.48 (((~![B: $i] : ((~less_3(B)) | (v124(constB109, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v124(constB109, bitIndex1) <=> b001(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB109, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v124(constB109, bitIndex1) <=> b001(bitIndex1)))),
% 8.88/6.48 inference(rewrite,[status(thm)],[])).
% 8.88/6.48 tff(18908,plain,
% 8.88/6.48 ((~![B: $i] : ((~less_3(B)) | (v124(constB109, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v124(constB109, bitIndex1) <=> b001(bitIndex1)))),
% 8.88/6.48 inference(quant_inst,[status(thm)],[])).
% 8.88/6.48 tff(18909,plain,
% 8.88/6.48 ((~![B: $i] : ((~less_3(B)) | (v124(constB109, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v124(constB109, bitIndex1) <=> b001(bitIndex1))),
% 8.88/6.48 inference(modus_ponens,[status(thm)],[18908, 18907])).
% 8.88/6.48 tff(18910,plain,
% 8.88/6.48 (v124(constB109, bitIndex1) <=> b001(bitIndex1)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[18909, 9785, 18844])).
% 8.88/6.48 tff(18911,plain,
% 8.88/6.48 ((~(v124(constB109, bitIndex1) <=> b001(bitIndex1))) | (~v124(constB109, bitIndex1)) | b001(bitIndex1)),
% 8.88/6.48 inference(tautology,[status(thm)],[])).
% 8.88/6.48 tff(18912,plain,
% 8.88/6.48 ((~(v124(constB109, bitIndex1) <=> b001(bitIndex1))) | (~v124(constB109, bitIndex1))),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[18911, 10045])).
% 8.88/6.48 tff(18913,plain,
% 8.88/6.48 (~v124(constB109, bitIndex1)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[18912, 18910])).
% 8.88/6.48 tff(18914,plain,
% 8.88/6.48 ((~(v121(constB109, bitIndex1) <=> v124(constB109, bitIndex1))) | (~v121(constB109, bitIndex1)) | v124(constB109, bitIndex1)),
% 8.88/6.48 inference(tautology,[status(thm)],[])).
% 8.88/6.48 tff(18915,plain,
% 8.88/6.48 (~v121(constB109, bitIndex1)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[18914, 18913, 18906])).
% 8.88/6.48 tff(18916,plain,
% 8.88/6.48 ((~(v123(constB110, bitIndex1) <=> v121(constB109, bitIndex1))) | (~v123(constB110, bitIndex1)) | v121(constB109, bitIndex1)),
% 8.88/6.48 inference(tautology,[status(thm)],[])).
% 8.88/6.48 tff(18917,plain,
% 8.88/6.48 (~v123(constB110, bitIndex1)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[18916, 18915, 18902])).
% 8.88/6.48 tff(18918,plain,
% 8.88/6.48 ((~(v84(constB110, bitIndex1) <=> v123(constB110, bitIndex1))) | (~v84(constB110, bitIndex1)) | v123(constB110, bitIndex1)),
% 8.88/6.48 inference(tautology,[status(thm)],[])).
% 8.88/6.48 tff(18919,plain,
% 8.88/6.48 (~v84(constB110, bitIndex1)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[18918, 18917, 18898])).
% 8.88/6.48 tff(18920,plain,
% 8.88/6.48 ((~(v84(constB111, bitIndex1) <=> v84(constB110, bitIndex1))) | (~v84(constB111, bitIndex1)) | v84(constB110, bitIndex1)),
% 8.88/6.48 inference(tautology,[status(thm)],[])).
% 8.88/6.48 tff(18921,plain,
% 8.88/6.48 (~v84(constB111, bitIndex1)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[18920, 18919, 18894])).
% 8.88/6.48 tff(18922,plain,
% 8.88/6.48 ((~(v84(constB111, bitIndex2) | v84(constB111, bitIndex1) | (~v84(constB111, bitIndex0)))) | v84(constB111, bitIndex2) | v84(constB111, bitIndex1) | (~v84(constB111, bitIndex0))),
% 8.88/6.48 inference(tautology,[status(thm)],[])).
% 8.88/6.48 tff(18923,plain,
% 8.88/6.48 (~(v84(constB111, bitIndex2) | v84(constB111, bitIndex1) | (~v84(constB111, bitIndex0)))),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[18922, 18921, 18890, 18859])).
% 8.88/6.48 tff(18924,plain,
% 8.88/6.48 ((~(v114(constB111) <=> (~(v84(constB111, bitIndex2) | v84(constB111, bitIndex1) | (~v84(constB111, bitIndex0)))))) | v114(constB111) | (v84(constB111, bitIndex2) | v84(constB111, bitIndex1) | (~v84(constB111, bitIndex0)))),
% 8.88/6.48 inference(tautology,[status(thm)],[])).
% 8.88/6.48 tff(18925,plain,
% 8.88/6.48 (v114(constB111)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[18924, 18923, 4713])).
% 8.88/6.48 tff(18926,plain,
% 8.88/6.48 ((v113(constB111) | v114(constB111)) | (~v114(constB111))),
% 8.88/6.48 inference(tautology,[status(thm)],[])).
% 8.88/6.48 tff(18927,plain,
% 8.88/6.48 (v113(constB111) | v114(constB111)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[18926, 18925])).
% 8.88/6.48 tff(18928,plain,
% 8.88/6.48 ((~(v112(constB111) <=> (v113(constB111) | v114(constB111)))) | v112(constB111) | (~(v113(constB111) | v114(constB111)))),
% 8.88/6.48 inference(tautology,[status(thm)],[])).
% 8.88/6.48 tff(18929,plain,
% 8.88/6.48 (v112(constB111)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[18928, 18927, 4706])).
% 8.88/6.48 tff(18930,plain,
% 8.88/6.48 ((v112(constB111) | v115(constB111)) | (~v112(constB111))),
% 8.88/6.48 inference(tautology,[status(thm)],[])).
% 8.88/6.48 tff(18931,plain,
% 8.88/6.48 (v112(constB111) | v115(constB111)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[18930, 18929])).
% 8.88/6.48 tff(18932,plain,
% 8.88/6.48 ((~(v111(constB111) <=> (v112(constB111) | v115(constB111)))) | v111(constB111) | (~(v112(constB111) | v115(constB111)))),
% 8.88/6.48 inference(tautology,[status(thm)],[])).
% 8.88/6.48 tff(18933,plain,
% 8.88/6.48 (v111(constB111)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[18932, 18931, 4704])).
% 8.88/6.48 tff(18934,plain,
% 8.88/6.48 ((v111(constB111) | v116(constB111)) | (~v111(constB111))),
% 8.88/6.48 inference(tautology,[status(thm)],[])).
% 8.88/6.48 tff(18935,plain,
% 8.88/6.48 (v111(constB111) | v116(constB111)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[18934, 18933])).
% 8.88/6.48 tff(18936,plain,
% 8.88/6.48 ((~(v110(constB111) <=> (v111(constB111) | v116(constB111)))) | v110(constB111) | (~(v111(constB111) | v116(constB111)))),
% 8.88/6.48 inference(tautology,[status(thm)],[])).
% 8.88/6.48 tff(18937,plain,
% 8.88/6.48 (v110(constB111)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[18936, 18935, 4702])).
% 8.88/6.48 tff(18938,plain,
% 8.88/6.48 ((v110(constB111) | v117(constB111)) | (~v110(constB111))),
% 8.88/6.48 inference(tautology,[status(thm)],[])).
% 8.88/6.48 tff(18939,plain,
% 8.88/6.48 (v110(constB111) | v117(constB111)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[18938, 18937])).
% 8.88/6.48 tff(18940,plain,
% 8.88/6.48 ((~(v109(constB111) <=> (v110(constB111) | v117(constB111)))) | v109(constB111) | (~(v110(constB111) | v117(constB111)))),
% 8.88/6.48 inference(tautology,[status(thm)],[])).
% 8.88/6.48 tff(18941,plain,
% 8.88/6.48 (v109(constB111)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[18940, 18939, 4700])).
% 8.88/6.48 tff(18942,plain,
% 8.88/6.48 ((v109(constB111) | v118(constB111)) | (~v109(constB111))),
% 8.88/6.48 inference(tautology,[status(thm)],[])).
% 8.88/6.48 tff(18943,plain,
% 8.88/6.48 (v109(constB111) | v118(constB111)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[18942, 18941])).
% 8.88/6.48 tff(18944,plain,
% 8.88/6.48 ((~(v108(constB111) <=> (v109(constB111) | v118(constB111)))) | v108(constB111) | (~(v109(constB111) | v118(constB111)))),
% 8.88/6.48 inference(tautology,[status(thm)],[])).
% 8.88/6.48 tff(18945,plain,
% 8.88/6.48 (v108(constB111)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[18944, 18943, 4698])).
% 8.88/6.48 tff(18946,plain,
% 8.88/6.48 ((v108(constB111) | v119(constB111)) | (~v108(constB111))),
% 8.88/6.48 inference(tautology,[status(thm)],[])).
% 8.88/6.48 tff(18947,plain,
% 8.88/6.48 (v108(constB111) | v119(constB111)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[18946, 18945])).
% 8.88/6.48 tff(18948,plain,
% 8.88/6.48 ((~(v107(constB111) <=> (v108(constB111) | v119(constB111)))) | v107(constB111) | (~(v108(constB111) | v119(constB111)))),
% 8.88/6.48 inference(tautology,[status(thm)],[])).
% 8.88/6.48 tff(18949,plain,
% 8.88/6.48 (v107(constB111)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[18948, 18947, 4696])).
% 8.88/6.48 tff(18950,plain,
% 8.88/6.48 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB111)) <=> v105(constB111))),
% 8.88/6.48 inference(quant_inst,[status(thm)],[])).
% 8.88/6.48 tff(18951,plain,
% 8.88/6.48 ((~v120(constB111)) <=> v105(constB111)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[18950, 9842])).
% 8.88/6.48 tff(18952,plain,
% 8.88/6.48 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB111) <=> v26(constB111))),
% 8.88/6.48 inference(quant_inst,[status(thm)],[])).
% 8.88/6.48 tff(18953,plain,
% 8.88/6.48 (v105(constB111) <=> v26(constB111)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[18952, 9854])).
% 8.88/6.48 tff(18954,plain,
% 8.88/6.48 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB111))),
% 8.88/6.48 inference(quant_inst,[status(thm)],[])).
% 8.88/6.48 tff(18955,plain,
% 8.88/6.48 (~v26(constB111)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[18954, 9866])).
% 8.88/6.48 tff(18956,plain,
% 8.88/6.48 ((~(v105(constB111) <=> v26(constB111))) | (~v105(constB111)) | v26(constB111)),
% 8.88/6.48 inference(tautology,[status(thm)],[])).
% 8.88/6.48 tff(18957,plain,
% 8.88/6.48 ((~(v105(constB111) <=> v26(constB111))) | (~v105(constB111))),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[18956, 18955])).
% 8.88/6.48 tff(18958,plain,
% 8.88/6.48 (~v105(constB111)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[18957, 18953])).
% 8.88/6.48 tff(18959,plain,
% 8.88/6.48 ((~((~v120(constB111)) <=> v105(constB111))) | v120(constB111) | v105(constB111)),
% 8.88/6.48 inference(tautology,[status(thm)],[])).
% 8.88/6.48 tff(18960,plain,
% 8.88/6.48 ((~((~v120(constB111)) <=> v105(constB111))) | v120(constB111)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[18959, 18958])).
% 8.88/6.48 tff(18961,plain,
% 8.88/6.48 (v120(constB111)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[18960, 18951])).
% 8.88/6.48 tff(18962,plain,
% 8.88/6.48 ((~((~v107(constB111)) | (~v120(constB111)))) | (~v107(constB111)) | (~v120(constB111))),
% 8.88/6.48 inference(tautology,[status(thm)],[])).
% 8.88/6.48 tff(18963,plain,
% 8.88/6.48 ((~((~v107(constB111)) | (~v120(constB111)))) | (~v107(constB111))),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[18962, 18961])).
% 8.88/6.48 tff(18964,plain,
% 8.88/6.48 (~((~v107(constB111)) | (~v120(constB111)))),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[18963, 18949])).
% 8.88/6.48 tff(18965,plain,
% 8.88/6.48 ((~(v106(constB111) <=> (~((~v107(constB111)) | (~v120(constB111)))))) | v106(constB111) | ((~v107(constB111)) | (~v120(constB111)))),
% 8.88/6.48 inference(tautology,[status(thm)],[])).
% 8.88/6.48 tff(18966,plain,
% 8.88/6.48 (v106(constB111)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[18965, 18964, 4694])).
% 8.88/6.48 tff(18967,plain,
% 8.88/6.48 ((v105(constB111) | v106(constB111)) | (~v106(constB111))),
% 8.88/6.48 inference(tautology,[status(thm)],[])).
% 8.88/6.48 tff(18968,plain,
% 8.88/6.48 (v105(constB111) | v106(constB111)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[18967, 18966])).
% 8.88/6.48 tff(18969,plain,
% 8.88/6.48 ((~(v102(constB111) <=> (v105(constB111) | v106(constB111)))) | v102(constB111) | (~(v105(constB111) | v106(constB111)))),
% 8.88/6.48 inference(tautology,[status(thm)],[])).
% 8.88/6.48 tff(18970,plain,
% 8.88/6.48 (v102(constB111)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[18969, 18968, 4692])).
% 8.88/6.48 tff(18971,plain,
% 8.88/6.48 ((~(v104(constB112) <=> v102(constB111))) | v104(constB112) | (~v102(constB111))),
% 8.88/6.48 inference(tautology,[status(thm)],[])).
% 8.88/6.48 tff(18972,plain,
% 8.88/6.48 (v104(constB112)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[18971, 18970, 4690])).
% 8.88/6.48 tff(18973,plain,
% 8.88/6.48 ((~((~v104(constB112)) | (~v95(constB112)))) | (~v104(constB112)) | (~v95(constB112))),
% 8.88/6.48 inference(tautology,[status(thm)],[])).
% 8.88/6.48 tff(18974,plain,
% 8.88/6.48 (~((~v104(constB112)) | (~v95(constB112)))),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[18973, 18972, 4686])).
% 8.88/6.48 tff(18975,plain,
% 8.88/6.48 ((~(v94(constB112) <=> (~((~v104(constB112)) | (~v95(constB112)))))) | v94(constB112) | ((~v104(constB112)) | (~v95(constB112)))),
% 8.88/6.48 inference(tautology,[status(thm)],[])).
% 8.88/6.48 tff(18976,plain,
% 8.88/6.48 (v94(constB112)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[18975, 18974, 4655])).
% 8.88/6.48 tff(18977,plain,
% 8.88/6.48 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB112)) | ![B: $i] : ((~less_3(B)) | (v84(constB112, B) <=> v123(constB112, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB112)) | ![B: $i] : ((~less_3(B)) | (v84(constB112, B) <=> v123(constB112, B))))),
% 8.88/6.48 inference(rewrite,[status(thm)],[])).
% 8.88/6.48 tff(18978,plain,
% 8.88/6.48 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB112)) | ![B: $i] : ((~less_3(B)) | (v84(constB112, B) <=> v123(constB112, B))))),
% 8.88/6.48 inference(quant_inst,[status(thm)],[])).
% 8.88/6.48 tff(18979,plain,
% 8.88/6.48 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB112)) | ![B: $i] : ((~less_3(B)) | (v84(constB112, B) <=> v123(constB112, B)))),
% 8.88/6.48 inference(modus_ponens,[status(thm)],[18978, 18977])).
% 8.88/6.48 tff(18980,plain,
% 8.88/6.48 ((~v94(constB112)) | ![B: $i] : ((~less_3(B)) | (v84(constB112, B) <=> v123(constB112, B)))),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[18979, 9902])).
% 8.88/6.48 tff(18981,plain,
% 8.88/6.48 (![B: $i] : ((~less_3(B)) | (v84(constB112, B) <=> v123(constB112, B)))),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[18980, 18976])).
% 8.88/6.48 tff(18982,plain,
% 8.88/6.48 (((~![B: $i] : ((~less_3(B)) | (v84(constB112, B) <=> v123(constB112, B)))) | ((~less_3(bitIndex2)) | (v84(constB112, bitIndex2) <=> v123(constB112, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB112, B) <=> v123(constB112, B)))) | (~less_3(bitIndex2)) | (v84(constB112, bitIndex2) <=> v123(constB112, bitIndex2)))),
% 8.88/6.48 inference(rewrite,[status(thm)],[])).
% 8.88/6.48 tff(18983,plain,
% 8.88/6.48 ((~![B: $i] : ((~less_3(B)) | (v84(constB112, B) <=> v123(constB112, B)))) | ((~less_3(bitIndex2)) | (v84(constB112, bitIndex2) <=> v123(constB112, bitIndex2)))),
% 8.88/6.48 inference(quant_inst,[status(thm)],[])).
% 8.88/6.48 tff(18984,plain,
% 8.88/6.48 ((~![B: $i] : ((~less_3(B)) | (v84(constB112, B) <=> v123(constB112, B)))) | (~less_3(bitIndex2)) | (v84(constB112, bitIndex2) <=> v123(constB112, bitIndex2))),
% 8.88/6.48 inference(modus_ponens,[status(thm)],[18983, 18982])).
% 8.88/6.48 tff(18985,plain,
% 8.88/6.48 (v84(constB112, bitIndex2) <=> v123(constB112, bitIndex2)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[18984, 832, 18981])).
% 8.88/6.48 tff(18986,plain,
% 8.88/6.48 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB111, constB112)) | ![B: $i] : ((~less_3(B)) | (v123(constB112, B) <=> v121(constB111, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB111, constB112)) | ![B: $i] : ((~less_3(B)) | (v123(constB112, B) <=> v121(constB111, B))))),
% 8.88/6.48 inference(rewrite,[status(thm)],[])).
% 8.88/6.48 tff(18987,plain,
% 8.88/6.48 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB111, constB112)) | ![B: $i] : ((~less_3(B)) | (v123(constB112, B) <=> v121(constB111, B))))),
% 8.88/6.48 inference(quant_inst,[status(thm)],[])).
% 8.88/6.48 tff(18988,plain,
% 8.88/6.48 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB111, constB112)) | ![B: $i] : ((~less_3(B)) | (v123(constB112, B) <=> v121(constB111, B)))),
% 8.88/6.48 inference(modus_ponens,[status(thm)],[18987, 18986])).
% 8.88/6.48 tff(18989,plain,
% 8.88/6.48 (![B: $i] : ((~less_3(B)) | (v123(constB112, B) <=> v121(constB111, B)))),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[18988, 4651, 9924])).
% 8.88/6.48 tff(18990,plain,
% 8.88/6.48 (((~![B: $i] : ((~less_3(B)) | (v123(constB112, B) <=> v121(constB111, B)))) | ((~less_3(bitIndex2)) | (v123(constB112, bitIndex2) <=> v121(constB111, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB112, B) <=> v121(constB111, B)))) | (~less_3(bitIndex2)) | (v123(constB112, bitIndex2) <=> v121(constB111, bitIndex2)))),
% 8.88/6.48 inference(rewrite,[status(thm)],[])).
% 8.88/6.48 tff(18991,plain,
% 8.88/6.48 ((~![B: $i] : ((~less_3(B)) | (v123(constB112, B) <=> v121(constB111, B)))) | ((~less_3(bitIndex2)) | (v123(constB112, bitIndex2) <=> v121(constB111, bitIndex2)))),
% 8.88/6.48 inference(quant_inst,[status(thm)],[])).
% 8.88/6.48 tff(18992,plain,
% 8.88/6.48 ((~![B: $i] : ((~less_3(B)) | (v123(constB112, B) <=> v121(constB111, B)))) | (~less_3(bitIndex2)) | (v123(constB112, bitIndex2) <=> v121(constB111, bitIndex2))),
% 8.88/6.48 inference(modus_ponens,[status(thm)],[18991, 18990])).
% 8.88/6.48 tff(18993,plain,
% 8.88/6.48 (v123(constB112, bitIndex2) <=> v121(constB111, bitIndex2)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[18992, 832, 18989])).
% 8.88/6.48 tff(18994,plain,
% 8.88/6.48 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB111) | ![B: $i] : ((~less_3(B)) | (v121(constB111, B) <=> v124(constB111, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB111) | ![B: $i] : ((~less_3(B)) | (v121(constB111, B) <=> v124(constB111, B))))),
% 8.88/6.48 inference(rewrite,[status(thm)],[])).
% 8.88/6.48 tff(18995,plain,
% 8.88/6.48 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB111) | ![B: $i] : ((~less_3(B)) | (v121(constB111, B) <=> v124(constB111, B))))),
% 8.88/6.48 inference(quant_inst,[status(thm)],[])).
% 8.88/6.48 tff(18996,plain,
% 8.88/6.48 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB111) | ![B: $i] : ((~less_3(B)) | (v121(constB111, B) <=> v124(constB111, B)))),
% 8.88/6.48 inference(modus_ponens,[status(thm)],[18995, 18994])).
% 8.88/6.48 tff(18997,plain,
% 8.88/6.48 (![B: $i] : ((~less_3(B)) | (v121(constB111, B) <=> v124(constB111, B)))),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[18996, 9945, 18958])).
% 8.88/6.48 tff(18998,plain,
% 8.88/6.48 (((~![B: $i] : ((~less_3(B)) | (v121(constB111, B) <=> v124(constB111, B)))) | ((~less_3(bitIndex2)) | (v121(constB111, bitIndex2) <=> v124(constB111, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB111, B) <=> v124(constB111, B)))) | (~less_3(bitIndex2)) | (v121(constB111, bitIndex2) <=> v124(constB111, bitIndex2)))),
% 8.88/6.48 inference(rewrite,[status(thm)],[])).
% 8.88/6.48 tff(18999,plain,
% 8.88/6.48 ((~![B: $i] : ((~less_3(B)) | (v121(constB111, B) <=> v124(constB111, B)))) | ((~less_3(bitIndex2)) | (v121(constB111, bitIndex2) <=> v124(constB111, bitIndex2)))),
% 8.88/6.48 inference(quant_inst,[status(thm)],[])).
% 8.88/6.48 tff(19000,plain,
% 8.88/6.48 ((~![B: $i] : ((~less_3(B)) | (v121(constB111, B) <=> v124(constB111, B)))) | (~less_3(bitIndex2)) | (v121(constB111, bitIndex2) <=> v124(constB111, bitIndex2))),
% 8.88/6.48 inference(modus_ponens,[status(thm)],[18999, 18998])).
% 8.88/6.48 tff(19001,plain,
% 8.88/6.48 (v121(constB111, bitIndex2) <=> v124(constB111, bitIndex2)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[19000, 832, 18997])).
% 8.88/6.48 tff(19002,plain,
% 8.88/6.48 (((~![VarCurr: $i] : ((~v114(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b010(B))))) | ((~v114(constB111)) | ![B: $i] : ((~less_3(B)) | (v124(constB111, B) <=> b010(B))))) <=> ((~![VarCurr: $i] : ((~v114(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b010(B))))) | (~v114(constB111)) | ![B: $i] : ((~less_3(B)) | (v124(constB111, B) <=> b010(B))))),
% 8.88/6.48 inference(rewrite,[status(thm)],[])).
% 8.88/6.48 tff(19003,plain,
% 8.88/6.48 ((~![VarCurr: $i] : ((~v114(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b010(B))))) | ((~v114(constB111)) | ![B: $i] : ((~less_3(B)) | (v124(constB111, B) <=> b010(B))))),
% 8.88/6.48 inference(quant_inst,[status(thm)],[])).
% 8.88/6.48 tff(19004,plain,
% 8.88/6.48 ((~![VarCurr: $i] : ((~v114(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b010(B))))) | (~v114(constB111)) | ![B: $i] : ((~less_3(B)) | (v124(constB111, B) <=> b010(B)))),
% 8.88/6.48 inference(modus_ponens,[status(thm)],[19003, 19002])).
% 8.88/6.48 tff(19005,plain,
% 8.88/6.48 ((~v114(constB111)) | ![B: $i] : ((~less_3(B)) | (v124(constB111, B) <=> b010(B)))),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[19004, 10149])).
% 8.88/6.48 tff(19006,plain,
% 8.88/6.48 (![B: $i] : ((~less_3(B)) | (v124(constB111, B) <=> b010(B)))),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[19005, 18925])).
% 8.88/6.48 tff(19007,plain,
% 8.88/6.48 (((~![B: $i] : ((~less_3(B)) | (v124(constB111, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v124(constB111, bitIndex2) <=> b010(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB111, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v124(constB111, bitIndex2) <=> b010(bitIndex2)))),
% 8.88/6.48 inference(rewrite,[status(thm)],[])).
% 8.88/6.48 tff(19008,plain,
% 8.88/6.48 ((~![B: $i] : ((~less_3(B)) | (v124(constB111, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v124(constB111, bitIndex2) <=> b010(bitIndex2)))),
% 8.88/6.48 inference(quant_inst,[status(thm)],[])).
% 8.88/6.48 tff(19009,plain,
% 8.88/6.48 ((~![B: $i] : ((~less_3(B)) | (v124(constB111, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v124(constB111, bitIndex2) <=> b010(bitIndex2))),
% 8.88/6.48 inference(modus_ponens,[status(thm)],[19008, 19007])).
% 8.88/6.48 tff(19010,plain,
% 8.88/6.48 (v124(constB111, bitIndex2) <=> b010(bitIndex2)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[19009, 832, 19006])).
% 8.88/6.48 tff(19011,plain,
% 8.88/6.48 ((~(v124(constB111, bitIndex2) <=> b010(bitIndex2))) | (~v124(constB111, bitIndex2)) | b010(bitIndex2)),
% 8.88/6.48 inference(tautology,[status(thm)],[])).
% 8.88/6.48 tff(19012,plain,
% 8.88/6.48 ((~(v124(constB111, bitIndex2) <=> b010(bitIndex2))) | (~v124(constB111, bitIndex2))),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[19011, 10161])).
% 8.88/6.48 tff(19013,plain,
% 8.88/6.48 (~v124(constB111, bitIndex2)),
% 8.88/6.48 inference(unit_resolution,[status(thm)],[19012, 19010])).
% 8.88/6.49 tff(19014,plain,
% 8.88/6.49 ((~(v121(constB111, bitIndex2) <=> v124(constB111, bitIndex2))) | (~v121(constB111, bitIndex2)) | v124(constB111, bitIndex2)),
% 8.88/6.49 inference(tautology,[status(thm)],[])).
% 8.88/6.49 tff(19015,plain,
% 8.88/6.49 (~v121(constB111, bitIndex2)),
% 8.88/6.49 inference(unit_resolution,[status(thm)],[19014, 19013, 19001])).
% 8.88/6.49 tff(19016,plain,
% 8.88/6.49 ((~(v123(constB112, bitIndex2) <=> v121(constB111, bitIndex2))) | (~v123(constB112, bitIndex2)) | v121(constB111, bitIndex2)),
% 8.88/6.49 inference(tautology,[status(thm)],[])).
% 8.88/6.49 tff(19017,plain,
% 8.88/6.49 (~v123(constB112, bitIndex2)),
% 8.88/6.49 inference(unit_resolution,[status(thm)],[19016, 19015, 18993])).
% 8.88/6.49 tff(19018,plain,
% 8.88/6.49 ((~(v84(constB112, bitIndex2) <=> v123(constB112, bitIndex2))) | (~v84(constB112, bitIndex2)) | v123(constB112, bitIndex2)),
% 8.88/6.49 inference(tautology,[status(thm)],[])).
% 8.88/6.49 tff(19019,plain,
% 8.88/6.49 (~v84(constB112, bitIndex2)),
% 8.88/6.49 inference(unit_resolution,[status(thm)],[19018, 19017, 18985])).
% 8.88/6.49 tff(19020,plain,
% 8.88/6.49 ((~(v84(constB113, bitIndex2) <=> v84(constB112, bitIndex2))) | (~v84(constB113, bitIndex2)) | v84(constB112, bitIndex2)),
% 8.88/6.49 inference(tautology,[status(thm)],[])).
% 8.88/6.49 tff(19021,plain,
% 8.88/6.49 (~v84(constB113, bitIndex2)),
% 8.88/6.49 inference(unit_resolution,[status(thm)],[19020, 19019, 4648])).
% 8.88/6.49 tff(19022,plain,
% 8.88/6.49 (((~![B: $i] : ((~less_3(B)) | (v84(constB113, B) <=> v84(constB112, B)))) | ((~less_3(bitIndex0)) | (v84(constB113, bitIndex0) <=> v84(constB112, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB113, B) <=> v84(constB112, B)))) | (~less_3(bitIndex0)) | (v84(constB113, bitIndex0) <=> v84(constB112, bitIndex0)))),
% 8.88/6.49 inference(rewrite,[status(thm)],[])).
% 8.88/6.49 tff(19023,plain,
% 8.88/6.49 ((~![B: $i] : ((~less_3(B)) | (v84(constB113, B) <=> v84(constB112, B)))) | ((~less_3(bitIndex0)) | (v84(constB113, bitIndex0) <=> v84(constB112, bitIndex0)))),
% 8.88/6.49 inference(quant_inst,[status(thm)],[])).
% 8.88/6.49 tff(19024,plain,
% 8.88/6.49 ((~![B: $i] : ((~less_3(B)) | (v84(constB113, B) <=> v84(constB112, B)))) | (~less_3(bitIndex0)) | (v84(constB113, bitIndex0) <=> v84(constB112, bitIndex0))),
% 8.88/6.49 inference(modus_ponens,[status(thm)],[19023, 19022])).
% 8.88/6.49 tff(19025,plain,
% 8.88/6.49 (v84(constB113, bitIndex0) <=> v84(constB112, bitIndex0)),
% 8.88/6.49 inference(unit_resolution,[status(thm)],[19024, 9772, 4644])).
% 8.88/6.49 tff(19026,plain,
% 8.88/6.49 (((~![B: $i] : ((~less_3(B)) | (v84(constB112, B) <=> v123(constB112, B)))) | ((~less_3(bitIndex0)) | (v84(constB112, bitIndex0) <=> v123(constB112, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB112, B) <=> v123(constB112, B)))) | (~less_3(bitIndex0)) | (v84(constB112, bitIndex0) <=> v123(constB112, bitIndex0)))),
% 8.88/6.49 inference(rewrite,[status(thm)],[])).
% 8.88/6.49 tff(19027,plain,
% 8.88/6.49 ((~![B: $i] : ((~less_3(B)) | (v84(constB112, B) <=> v123(constB112, B)))) | ((~less_3(bitIndex0)) | (v84(constB112, bitIndex0) <=> v123(constB112, bitIndex0)))),
% 8.88/6.49 inference(quant_inst,[status(thm)],[])).
% 8.88/6.49 tff(19028,plain,
% 8.88/6.49 ((~![B: $i] : ((~less_3(B)) | (v84(constB112, B) <=> v123(constB112, B)))) | (~less_3(bitIndex0)) | (v84(constB112, bitIndex0) <=> v123(constB112, bitIndex0))),
% 8.88/6.49 inference(modus_ponens,[status(thm)],[19027, 19026])).
% 8.88/6.49 tff(19029,plain,
% 8.88/6.49 (v84(constB112, bitIndex0) <=> v123(constB112, bitIndex0)),
% 8.88/6.49 inference(unit_resolution,[status(thm)],[19028, 9772, 18981])).
% 8.88/6.49 tff(19030,plain,
% 8.88/6.49 (((~![B: $i] : ((~less_3(B)) | (v123(constB112, B) <=> v121(constB111, B)))) | ((~less_3(bitIndex0)) | (v123(constB112, bitIndex0) <=> v121(constB111, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB112, B) <=> v121(constB111, B)))) | (~less_3(bitIndex0)) | (v123(constB112, bitIndex0) <=> v121(constB111, bitIndex0)))),
% 8.88/6.49 inference(rewrite,[status(thm)],[])).
% 8.88/6.49 tff(19031,plain,
% 8.88/6.49 ((~![B: $i] : ((~less_3(B)) | (v123(constB112, B) <=> v121(constB111, B)))) | ((~less_3(bitIndex0)) | (v123(constB112, bitIndex0) <=> v121(constB111, bitIndex0)))),
% 8.88/6.49 inference(quant_inst,[status(thm)],[])).
% 8.88/6.49 tff(19032,plain,
% 8.88/6.49 ((~![B: $i] : ((~less_3(B)) | (v123(constB112, B) <=> v121(constB111, B)))) | (~less_3(bitIndex0)) | (v123(constB112, bitIndex0) <=> v121(constB111, bitIndex0))),
% 8.88/6.49 inference(modus_ponens,[status(thm)],[19031, 19030])).
% 8.88/6.49 tff(19033,plain,
% 8.88/6.49 (v123(constB112, bitIndex0) <=> v121(constB111, bitIndex0)),
% 8.88/6.49 inference(unit_resolution,[status(thm)],[19032, 9772, 18989])).
% 8.88/6.49 tff(19034,plain,
% 8.88/6.49 (((~![B: $i] : ((~less_3(B)) | (v121(constB111, B) <=> v124(constB111, B)))) | ((~less_3(bitIndex0)) | (v121(constB111, bitIndex0) <=> v124(constB111, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB111, B) <=> v124(constB111, B)))) | (~less_3(bitIndex0)) | (v121(constB111, bitIndex0) <=> v124(constB111, bitIndex0)))),
% 8.88/6.49 inference(rewrite,[status(thm)],[])).
% 8.88/6.49 tff(19035,plain,
% 8.88/6.49 ((~![B: $i] : ((~less_3(B)) | (v121(constB111, B) <=> v124(constB111, B)))) | ((~less_3(bitIndex0)) | (v121(constB111, bitIndex0) <=> v124(constB111, bitIndex0)))),
% 8.88/6.49 inference(quant_inst,[status(thm)],[])).
% 8.88/6.49 tff(19036,plain,
% 8.88/6.49 ((~![B: $i] : ((~less_3(B)) | (v121(constB111, B) <=> v124(constB111, B)))) | (~less_3(bitIndex0)) | (v121(constB111, bitIndex0) <=> v124(constB111, bitIndex0))),
% 8.88/6.49 inference(modus_ponens,[status(thm)],[19035, 19034])).
% 8.88/6.49 tff(19037,plain,
% 8.88/6.49 (v121(constB111, bitIndex0) <=> v124(constB111, bitIndex0)),
% 8.88/6.49 inference(unit_resolution,[status(thm)],[19036, 9772, 18997])).
% 8.88/6.49 tff(19038,plain,
% 8.88/6.49 (((~![B: $i] : ((~less_3(B)) | (v124(constB111, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v124(constB111, bitIndex0) <=> b010(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB111, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v124(constB111, bitIndex0) <=> b010(bitIndex0)))),
% 8.88/6.49 inference(rewrite,[status(thm)],[])).
% 8.88/6.49 tff(19039,plain,
% 8.88/6.49 ((~![B: $i] : ((~less_3(B)) | (v124(constB111, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v124(constB111, bitIndex0) <=> b010(bitIndex0)))),
% 8.88/6.49 inference(quant_inst,[status(thm)],[])).
% 8.88/6.49 tff(19040,plain,
% 8.88/6.49 ((~![B: $i] : ((~less_3(B)) | (v124(constB111, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v124(constB111, bitIndex0) <=> b010(bitIndex0))),
% 8.88/6.49 inference(modus_ponens,[status(thm)],[19039, 19038])).
% 8.88/6.49 tff(19041,plain,
% 8.88/6.49 (v124(constB111, bitIndex0) <=> b010(bitIndex0)),
% 8.88/6.49 inference(unit_resolution,[status(thm)],[19040, 9772, 19006])).
% 8.88/6.49 tff(19042,plain,
% 8.88/6.49 ((~(v124(constB111, bitIndex0) <=> b010(bitIndex0))) | (~v124(constB111, bitIndex0)) | b010(bitIndex0)),
% 8.88/6.49 inference(tautology,[status(thm)],[])).
% 8.88/6.49 tff(19043,plain,
% 8.88/6.49 ((~(v124(constB111, bitIndex0) <=> b010(bitIndex0))) | (~v124(constB111, bitIndex0))),
% 8.88/6.49 inference(unit_resolution,[status(thm)],[19042, 10195])).
% 8.88/6.49 tff(19044,plain,
% 8.88/6.49 (~v124(constB111, bitIndex0)),
% 8.88/6.49 inference(unit_resolution,[status(thm)],[19043, 19041])).
% 8.88/6.49 tff(19045,plain,
% 8.88/6.49 ((~(v121(constB111, bitIndex0) <=> v124(constB111, bitIndex0))) | (~v121(constB111, bitIndex0)) | v124(constB111, bitIndex0)),
% 8.88/6.49 inference(tautology,[status(thm)],[])).
% 8.88/6.49 tff(19046,plain,
% 8.88/6.49 (~v121(constB111, bitIndex0)),
% 8.88/6.49 inference(unit_resolution,[status(thm)],[19045, 19044, 19037])).
% 8.88/6.49 tff(19047,plain,
% 8.88/6.49 ((~(v123(constB112, bitIndex0) <=> v121(constB111, bitIndex0))) | (~v123(constB112, bitIndex0)) | v121(constB111, bitIndex0)),
% 8.88/6.49 inference(tautology,[status(thm)],[])).
% 8.88/6.49 tff(19048,plain,
% 8.88/6.49 (~v123(constB112, bitIndex0)),
% 8.88/6.49 inference(unit_resolution,[status(thm)],[19047, 19046, 19033])).
% 8.88/6.49 tff(19049,plain,
% 8.88/6.49 ((~(v84(constB112, bitIndex0) <=> v123(constB112, bitIndex0))) | (~v84(constB112, bitIndex0)) | v123(constB112, bitIndex0)),
% 8.88/6.49 inference(tautology,[status(thm)],[])).
% 8.88/6.49 tff(19050,plain,
% 8.88/6.49 (~v84(constB112, bitIndex0)),
% 8.88/6.49 inference(unit_resolution,[status(thm)],[19049, 19048, 19029])).
% 8.88/6.49 tff(19051,plain,
% 8.88/6.49 ((~(v84(constB113, bitIndex0) <=> v84(constB112, bitIndex0))) | (~v84(constB113, bitIndex0)) | v84(constB112, bitIndex0)),
% 8.88/6.49 inference(tautology,[status(thm)],[])).
% 8.88/6.49 tff(19052,plain,
% 8.88/6.49 (~v84(constB113, bitIndex0)),
% 8.88/6.49 inference(unit_resolution,[status(thm)],[19051, 19050, 19025])).
% 8.88/6.49 tff(19053,plain,
% 8.88/6.49 (((~![B: $i] : ((~less_3(B)) | (v84(constB113, B) <=> v84(constB112, B)))) | ((~less_3(bitIndex1)) | (v84(constB113, bitIndex1) <=> v84(constB112, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB113, B) <=> v84(constB112, B)))) | (~less_3(bitIndex1)) | (v84(constB113, bitIndex1) <=> v84(constB112, bitIndex1)))),
% 8.98/6.49 inference(rewrite,[status(thm)],[])).
% 8.98/6.49 tff(19054,plain,
% 8.98/6.49 ((~![B: $i] : ((~less_3(B)) | (v84(constB113, B) <=> v84(constB112, B)))) | ((~less_3(bitIndex1)) | (v84(constB113, bitIndex1) <=> v84(constB112, bitIndex1)))),
% 8.98/6.49 inference(quant_inst,[status(thm)],[])).
% 8.98/6.49 tff(19055,plain,
% 8.98/6.49 ((~![B: $i] : ((~less_3(B)) | (v84(constB113, B) <=> v84(constB112, B)))) | (~less_3(bitIndex1)) | (v84(constB113, bitIndex1) <=> v84(constB112, bitIndex1))),
% 8.98/6.49 inference(modus_ponens,[status(thm)],[19054, 19053])).
% 8.98/6.49 tff(19056,plain,
% 8.98/6.49 (v84(constB113, bitIndex1) <=> v84(constB112, bitIndex1)),
% 8.98/6.49 inference(unit_resolution,[status(thm)],[19055, 9785, 4644])).
% 8.98/6.49 tff(19057,plain,
% 8.98/6.49 (((~![B: $i] : ((~less_3(B)) | (v84(constB112, B) <=> v123(constB112, B)))) | ((~less_3(bitIndex1)) | (v84(constB112, bitIndex1) <=> v123(constB112, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB112, B) <=> v123(constB112, B)))) | (~less_3(bitIndex1)) | (v84(constB112, bitIndex1) <=> v123(constB112, bitIndex1)))),
% 8.98/6.49 inference(rewrite,[status(thm)],[])).
% 8.98/6.49 tff(19058,plain,
% 8.98/6.49 ((~![B: $i] : ((~less_3(B)) | (v84(constB112, B) <=> v123(constB112, B)))) | ((~less_3(bitIndex1)) | (v84(constB112, bitIndex1) <=> v123(constB112, bitIndex1)))),
% 8.98/6.49 inference(quant_inst,[status(thm)],[])).
% 8.98/6.49 tff(19059,plain,
% 8.98/6.49 ((~![B: $i] : ((~less_3(B)) | (v84(constB112, B) <=> v123(constB112, B)))) | (~less_3(bitIndex1)) | (v84(constB112, bitIndex1) <=> v123(constB112, bitIndex1))),
% 8.98/6.49 inference(modus_ponens,[status(thm)],[19058, 19057])).
% 8.98/6.49 tff(19060,plain,
% 8.98/6.49 (v84(constB112, bitIndex1) <=> v123(constB112, bitIndex1)),
% 8.98/6.49 inference(unit_resolution,[status(thm)],[19059, 9785, 18981])).
% 8.98/6.49 tff(19061,plain,
% 8.98/6.49 (((~![B: $i] : ((~less_3(B)) | (v123(constB112, B) <=> v121(constB111, B)))) | ((~less_3(bitIndex1)) | (v123(constB112, bitIndex1) <=> v121(constB111, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB112, B) <=> v121(constB111, B)))) | (~less_3(bitIndex1)) | (v123(constB112, bitIndex1) <=> v121(constB111, bitIndex1)))),
% 8.98/6.49 inference(rewrite,[status(thm)],[])).
% 8.98/6.49 tff(19062,plain,
% 8.98/6.49 ((~![B: $i] : ((~less_3(B)) | (v123(constB112, B) <=> v121(constB111, B)))) | ((~less_3(bitIndex1)) | (v123(constB112, bitIndex1) <=> v121(constB111, bitIndex1)))),
% 8.98/6.49 inference(quant_inst,[status(thm)],[])).
% 8.98/6.49 tff(19063,plain,
% 8.98/6.49 ((~![B: $i] : ((~less_3(B)) | (v123(constB112, B) <=> v121(constB111, B)))) | (~less_3(bitIndex1)) | (v123(constB112, bitIndex1) <=> v121(constB111, bitIndex1))),
% 8.98/6.49 inference(modus_ponens,[status(thm)],[19062, 19061])).
% 8.98/6.49 tff(19064,plain,
% 8.98/6.49 (v123(constB112, bitIndex1) <=> v121(constB111, bitIndex1)),
% 8.98/6.49 inference(unit_resolution,[status(thm)],[19063, 9785, 18989])).
% 8.98/6.49 tff(19065,plain,
% 8.98/6.49 (((~![B: $i] : ((~less_3(B)) | (v121(constB111, B) <=> v124(constB111, B)))) | ((~less_3(bitIndex1)) | (v121(constB111, bitIndex1) <=> v124(constB111, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB111, B) <=> v124(constB111, B)))) | (~less_3(bitIndex1)) | (v121(constB111, bitIndex1) <=> v124(constB111, bitIndex1)))),
% 8.98/6.49 inference(rewrite,[status(thm)],[])).
% 8.98/6.49 tff(19066,plain,
% 8.98/6.49 ((~![B: $i] : ((~less_3(B)) | (v121(constB111, B) <=> v124(constB111, B)))) | ((~less_3(bitIndex1)) | (v121(constB111, bitIndex1) <=> v124(constB111, bitIndex1)))),
% 8.98/6.49 inference(quant_inst,[status(thm)],[])).
% 8.98/6.49 tff(19067,plain,
% 8.98/6.49 ((~![B: $i] : ((~less_3(B)) | (v121(constB111, B) <=> v124(constB111, B)))) | (~less_3(bitIndex1)) | (v121(constB111, bitIndex1) <=> v124(constB111, bitIndex1))),
% 8.98/6.49 inference(modus_ponens,[status(thm)],[19066, 19065])).
% 8.98/6.49 tff(19068,plain,
% 8.98/6.49 (v121(constB111, bitIndex1) <=> v124(constB111, bitIndex1)),
% 8.98/6.49 inference(unit_resolution,[status(thm)],[19067, 9785, 18997])).
% 8.98/6.49 tff(19069,plain,
% 8.98/6.49 (((~![B: $i] : ((~less_3(B)) | (v124(constB111, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v124(constB111, bitIndex1) <=> b010(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB111, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v124(constB111, bitIndex1) <=> b010(bitIndex1)))),
% 8.98/6.49 inference(rewrite,[status(thm)],[])).
% 8.98/6.49 tff(19070,plain,
% 8.98/6.49 ((~![B: $i] : ((~less_3(B)) | (v124(constB111, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v124(constB111, bitIndex1) <=> b010(bitIndex1)))),
% 8.98/6.49 inference(quant_inst,[status(thm)],[])).
% 8.98/6.49 tff(19071,plain,
% 8.98/6.49 ((~![B: $i] : ((~less_3(B)) | (v124(constB111, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v124(constB111, bitIndex1) <=> b010(bitIndex1))),
% 8.98/6.49 inference(modus_ponens,[status(thm)],[19070, 19069])).
% 8.98/6.49 tff(19072,plain,
% 8.98/6.49 (v124(constB111, bitIndex1) <=> b010(bitIndex1)),
% 8.98/6.49 inference(unit_resolution,[status(thm)],[19071, 9785, 19006])).
% 8.98/6.49 tff(19073,plain,
% 8.98/6.49 ((~(v124(constB111, bitIndex1) <=> b010(bitIndex1))) | v124(constB111, bitIndex1) | (~b010(bitIndex1))),
% 8.98/6.49 inference(tautology,[status(thm)],[])).
% 8.98/6.49 tff(19074,plain,
% 8.98/6.49 ((~(v124(constB111, bitIndex1) <=> b010(bitIndex1))) | v124(constB111, bitIndex1)),
% 8.98/6.49 inference(unit_resolution,[status(thm)],[19073, 10229])).
% 8.98/6.49 tff(19075,plain,
% 8.98/6.49 (v124(constB111, bitIndex1)),
% 8.98/6.49 inference(unit_resolution,[status(thm)],[19074, 19072])).
% 8.98/6.49 tff(19076,plain,
% 8.98/6.49 ((~(v121(constB111, bitIndex1) <=> v124(constB111, bitIndex1))) | v121(constB111, bitIndex1) | (~v124(constB111, bitIndex1))),
% 8.98/6.49 inference(tautology,[status(thm)],[])).
% 8.98/6.49 tff(19077,plain,
% 8.98/6.49 (v121(constB111, bitIndex1)),
% 8.98/6.49 inference(unit_resolution,[status(thm)],[19076, 19075, 19068])).
% 8.98/6.49 tff(19078,plain,
% 8.98/6.49 ((~(v123(constB112, bitIndex1) <=> v121(constB111, bitIndex1))) | v123(constB112, bitIndex1) | (~v121(constB111, bitIndex1))),
% 8.98/6.49 inference(tautology,[status(thm)],[])).
% 8.98/6.49 tff(19079,plain,
% 8.98/6.49 (v123(constB112, bitIndex1)),
% 8.98/6.49 inference(unit_resolution,[status(thm)],[19078, 19077, 19064])).
% 8.98/6.49 tff(19080,plain,
% 8.98/6.49 ((~(v84(constB112, bitIndex1) <=> v123(constB112, bitIndex1))) | v84(constB112, bitIndex1) | (~v123(constB112, bitIndex1))),
% 8.98/6.49 inference(tautology,[status(thm)],[])).
% 8.98/6.49 tff(19081,plain,
% 8.98/6.49 (v84(constB112, bitIndex1)),
% 8.98/6.49 inference(unit_resolution,[status(thm)],[19080, 19079, 19060])).
% 8.98/6.49 tff(19082,plain,
% 8.98/6.49 ((~(v84(constB113, bitIndex1) <=> v84(constB112, bitIndex1))) | v84(constB113, bitIndex1) | (~v84(constB112, bitIndex1))),
% 8.98/6.49 inference(tautology,[status(thm)],[])).
% 8.98/6.49 tff(19083,plain,
% 8.98/6.49 (v84(constB113, bitIndex1)),
% 8.98/6.49 inference(unit_resolution,[status(thm)],[19082, 19081, 19056])).
% 8.98/6.49 tff(19084,plain,
% 8.98/6.49 ((~(v84(constB113, bitIndex2) | (~v84(constB113, bitIndex1)) | v84(constB113, bitIndex0))) | v84(constB113, bitIndex2) | (~v84(constB113, bitIndex1)) | v84(constB113, bitIndex0)),
% 8.98/6.49 inference(tautology,[status(thm)],[])).
% 8.98/6.49 tff(19085,plain,
% 8.98/6.49 (~(v84(constB113, bitIndex2) | (~v84(constB113, bitIndex1)) | v84(constB113, bitIndex0))),
% 8.98/6.49 inference(unit_resolution,[status(thm)],[19084, 19083, 19052, 19021])).
% 8.98/6.49 tff(19086,plain,
% 8.98/6.49 ((~(v115(constB113) <=> (~(v84(constB113, bitIndex2) | (~v84(constB113, bitIndex1)) | v84(constB113, bitIndex0))))) | v115(constB113) | (v84(constB113, bitIndex2) | (~v84(constB113, bitIndex1)) | v84(constB113, bitIndex0))),
% 8.98/6.49 inference(tautology,[status(thm)],[])).
% 8.98/6.49 tff(19087,plain,
% 8.98/6.49 (v115(constB113)),
% 8.98/6.49 inference(unit_resolution,[status(thm)],[19086, 19085, 4616])).
% 8.98/6.49 tff(19088,plain,
% 8.98/6.49 ((v112(constB113) | v115(constB113)) | (~v115(constB113))),
% 8.98/6.49 inference(tautology,[status(thm)],[])).
% 8.98/6.49 tff(19089,plain,
% 8.98/6.49 (v112(constB113) | v115(constB113)),
% 8.98/6.49 inference(unit_resolution,[status(thm)],[19088, 19087])).
% 8.98/6.49 tff(19090,plain,
% 8.98/6.49 ((~(v111(constB113) <=> (v112(constB113) | v115(constB113)))) | v111(constB113) | (~(v112(constB113) | v115(constB113)))),
% 8.98/6.49 inference(tautology,[status(thm)],[])).
% 8.98/6.49 tff(19091,plain,
% 8.98/6.49 (v111(constB113)),
% 8.98/6.49 inference(unit_resolution,[status(thm)],[19090, 19089, 4609])).
% 8.98/6.49 tff(19092,plain,
% 8.98/6.49 ((v111(constB113) | v116(constB113)) | (~v111(constB113))),
% 8.98/6.49 inference(tautology,[status(thm)],[])).
% 8.98/6.49 tff(19093,plain,
% 8.98/6.49 (v111(constB113) | v116(constB113)),
% 8.98/6.49 inference(unit_resolution,[status(thm)],[19092, 19091])).
% 8.98/6.49 tff(19094,plain,
% 8.98/6.49 ((~(v110(constB113) <=> (v111(constB113) | v116(constB113)))) | v110(constB113) | (~(v111(constB113) | v116(constB113)))),
% 8.98/6.49 inference(tautology,[status(thm)],[])).
% 8.98/6.49 tff(19095,plain,
% 8.98/6.49 (v110(constB113)),
% 8.98/6.49 inference(unit_resolution,[status(thm)],[19094, 19093, 4607])).
% 8.98/6.49 tff(19096,plain,
% 8.98/6.49 ((v110(constB113) | v117(constB113)) | (~v110(constB113))),
% 8.98/6.49 inference(tautology,[status(thm)],[])).
% 8.98/6.49 tff(19097,plain,
% 8.98/6.49 (v110(constB113) | v117(constB113)),
% 8.98/6.49 inference(unit_resolution,[status(thm)],[19096, 19095])).
% 8.98/6.49 tff(19098,plain,
% 8.98/6.49 ((~(v109(constB113) <=> (v110(constB113) | v117(constB113)))) | v109(constB113) | (~(v110(constB113) | v117(constB113)))),
% 8.98/6.49 inference(tautology,[status(thm)],[])).
% 8.98/6.49 tff(19099,plain,
% 8.98/6.49 (v109(constB113)),
% 8.98/6.49 inference(unit_resolution,[status(thm)],[19098, 19097, 4605])).
% 8.98/6.49 tff(19100,plain,
% 8.98/6.49 ((v109(constB113) | v118(constB113)) | (~v109(constB113))),
% 8.98/6.49 inference(tautology,[status(thm)],[])).
% 8.98/6.49 tff(19101,plain,
% 8.98/6.49 (v109(constB113) | v118(constB113)),
% 8.98/6.49 inference(unit_resolution,[status(thm)],[19100, 19099])).
% 8.98/6.49 tff(19102,plain,
% 8.98/6.49 ((~(v108(constB113) <=> (v109(constB113) | v118(constB113)))) | v108(constB113) | (~(v109(constB113) | v118(constB113)))),
% 8.98/6.49 inference(tautology,[status(thm)],[])).
% 8.98/6.49 tff(19103,plain,
% 8.98/6.49 (v108(constB113)),
% 8.98/6.49 inference(unit_resolution,[status(thm)],[19102, 19101, 4603])).
% 8.98/6.49 tff(19104,plain,
% 8.98/6.49 ((v108(constB113) | v119(constB113)) | (~v108(constB113))),
% 8.98/6.49 inference(tautology,[status(thm)],[])).
% 8.98/6.49 tff(19105,plain,
% 8.98/6.49 (v108(constB113) | v119(constB113)),
% 8.98/6.49 inference(unit_resolution,[status(thm)],[19104, 19103])).
% 8.98/6.49 tff(19106,plain,
% 8.98/6.49 ((~(v107(constB113) <=> (v108(constB113) | v119(constB113)))) | v107(constB113) | (~(v108(constB113) | v119(constB113)))),
% 8.98/6.49 inference(tautology,[status(thm)],[])).
% 8.98/6.49 tff(19107,plain,
% 8.98/6.49 (v107(constB113)),
% 8.98/6.49 inference(unit_resolution,[status(thm)],[19106, 19105, 4601])).
% 8.98/6.49 tff(19108,plain,
% 8.98/6.49 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB113)) <=> v105(constB113))),
% 8.98/6.49 inference(quant_inst,[status(thm)],[])).
% 8.98/6.49 tff(19109,plain,
% 8.98/6.49 ((~v120(constB113)) <=> v105(constB113)),
% 8.98/6.49 inference(unit_resolution,[status(thm)],[19108, 9842])).
% 8.98/6.49 tff(19110,plain,
% 8.98/6.49 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB113) <=> v26(constB113))),
% 8.98/6.49 inference(quant_inst,[status(thm)],[])).
% 8.98/6.49 tff(19111,plain,
% 8.98/6.49 (v105(constB113) <=> v26(constB113)),
% 8.98/6.49 inference(unit_resolution,[status(thm)],[19110, 9854])).
% 8.98/6.49 tff(19112,plain,
% 8.98/6.49 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB113))),
% 8.98/6.49 inference(quant_inst,[status(thm)],[])).
% 8.98/6.49 tff(19113,plain,
% 8.98/6.49 (~v26(constB113)),
% 8.98/6.49 inference(unit_resolution,[status(thm)],[19112, 9866])).
% 8.98/6.49 tff(19114,plain,
% 8.98/6.49 ((~(v105(constB113) <=> v26(constB113))) | (~v105(constB113)) | v26(constB113)),
% 8.98/6.49 inference(tautology,[status(thm)],[])).
% 8.98/6.49 tff(19115,plain,
% 8.98/6.49 ((~(v105(constB113) <=> v26(constB113))) | (~v105(constB113))),
% 8.98/6.49 inference(unit_resolution,[status(thm)],[19114, 19113])).
% 8.98/6.49 tff(19116,plain,
% 8.98/6.49 (~v105(constB113)),
% 8.98/6.49 inference(unit_resolution,[status(thm)],[19115, 19111])).
% 8.98/6.49 tff(19117,plain,
% 8.98/6.49 ((~((~v120(constB113)) <=> v105(constB113))) | v120(constB113) | v105(constB113)),
% 8.98/6.49 inference(tautology,[status(thm)],[])).
% 8.98/6.49 tff(19118,plain,
% 8.98/6.49 ((~((~v120(constB113)) <=> v105(constB113))) | v120(constB113)),
% 8.98/6.49 inference(unit_resolution,[status(thm)],[19117, 19116])).
% 8.98/6.49 tff(19119,plain,
% 8.98/6.49 (v120(constB113)),
% 8.98/6.49 inference(unit_resolution,[status(thm)],[19118, 19109])).
% 8.98/6.49 tff(19120,plain,
% 8.98/6.49 ((~((~v107(constB113)) | (~v120(constB113)))) | (~v107(constB113)) | (~v120(constB113))),
% 8.98/6.49 inference(tautology,[status(thm)],[])).
% 8.98/6.49 tff(19121,plain,
% 8.98/6.49 ((~((~v107(constB113)) | (~v120(constB113)))) | (~v107(constB113))),
% 8.98/6.49 inference(unit_resolution,[status(thm)],[19120, 19119])).
% 8.98/6.49 tff(19122,plain,
% 8.98/6.49 (~((~v107(constB113)) | (~v120(constB113)))),
% 8.98/6.49 inference(unit_resolution,[status(thm)],[19121, 19107])).
% 8.98/6.49 tff(19123,plain,
% 8.98/6.49 ((~(v106(constB113) <=> (~((~v107(constB113)) | (~v120(constB113)))))) | v106(constB113) | ((~v107(constB113)) | (~v120(constB113)))),
% 8.98/6.49 inference(tautology,[status(thm)],[])).
% 8.98/6.49 tff(19124,plain,
% 8.98/6.49 (v106(constB113)),
% 8.98/6.49 inference(unit_resolution,[status(thm)],[19123, 19122, 4599])).
% 8.98/6.49 tff(19125,plain,
% 8.98/6.49 ((v105(constB113) | v106(constB113)) | (~v106(constB113))),
% 8.98/6.49 inference(tautology,[status(thm)],[])).
% 8.98/6.49 tff(19126,plain,
% 8.98/6.49 (v105(constB113) | v106(constB113)),
% 8.98/6.49 inference(unit_resolution,[status(thm)],[19125, 19124])).
% 8.98/6.49 tff(19127,plain,
% 8.98/6.49 ((~(v102(constB113) <=> (v105(constB113) | v106(constB113)))) | v102(constB113) | (~(v105(constB113) | v106(constB113)))),
% 8.98/6.49 inference(tautology,[status(thm)],[])).
% 8.98/6.49 tff(19128,plain,
% 8.98/6.49 (v102(constB113)),
% 8.98/6.49 inference(unit_resolution,[status(thm)],[19127, 19126, 4597])).
% 8.98/6.49 tff(19129,plain,
% 8.98/6.49 ((~(v104(constB114) <=> v102(constB113))) | v104(constB114) | (~v102(constB113))),
% 8.98/6.49 inference(tautology,[status(thm)],[])).
% 8.98/6.49 tff(19130,plain,
% 8.98/6.49 (v104(constB114)),
% 8.98/6.49 inference(unit_resolution,[status(thm)],[19129, 19128, 4595])).
% 8.98/6.49 tff(19131,plain,
% 8.98/6.49 ((~((~v104(constB114)) | (~v95(constB114)))) | (~v104(constB114)) | (~v95(constB114))),
% 8.98/6.49 inference(tautology,[status(thm)],[])).
% 8.98/6.49 tff(19132,plain,
% 8.98/6.49 (~((~v104(constB114)) | (~v95(constB114)))),
% 8.98/6.49 inference(unit_resolution,[status(thm)],[19131, 19130, 4591])).
% 8.98/6.49 tff(19133,plain,
% 8.98/6.49 ((~(v94(constB114) <=> (~((~v104(constB114)) | (~v95(constB114)))))) | v94(constB114) | ((~v104(constB114)) | (~v95(constB114)))),
% 8.98/6.49 inference(tautology,[status(thm)],[])).
% 8.98/6.49 tff(19134,plain,
% 8.98/6.49 (v94(constB114)),
% 8.98/6.49 inference(unit_resolution,[status(thm)],[19133, 19132, 4560])).
% 8.98/6.49 tff(19135,plain,
% 8.98/6.49 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB114)) | ![B: $i] : ((~less_3(B)) | (v84(constB114, B) <=> v123(constB114, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB114)) | ![B: $i] : ((~less_3(B)) | (v84(constB114, B) <=> v123(constB114, B))))),
% 8.98/6.49 inference(rewrite,[status(thm)],[])).
% 8.98/6.49 tff(19136,plain,
% 8.98/6.49 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB114)) | ![B: $i] : ((~less_3(B)) | (v84(constB114, B) <=> v123(constB114, B))))),
% 8.98/6.49 inference(quant_inst,[status(thm)],[])).
% 8.98/6.49 tff(19137,plain,
% 8.98/6.49 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB114)) | ![B: $i] : ((~less_3(B)) | (v84(constB114, B) <=> v123(constB114, B)))),
% 8.98/6.49 inference(modus_ponens,[status(thm)],[19136, 19135])).
% 8.98/6.49 tff(19138,plain,
% 8.98/6.49 ((~v94(constB114)) | ![B: $i] : ((~less_3(B)) | (v84(constB114, B) <=> v123(constB114, B)))),
% 8.98/6.49 inference(unit_resolution,[status(thm)],[19137, 9902])).
% 8.98/6.49 tff(19139,plain,
% 8.98/6.49 (![B: $i] : ((~less_3(B)) | (v84(constB114, B) <=> v123(constB114, B)))),
% 8.98/6.49 inference(unit_resolution,[status(thm)],[19138, 19134])).
% 8.98/6.49 tff(19140,plain,
% 8.98/6.49 (((~![B: $i] : ((~less_3(B)) | (v84(constB114, B) <=> v123(constB114, B)))) | ((~less_3(bitIndex2)) | (v84(constB114, bitIndex2) <=> v123(constB114, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB114, B) <=> v123(constB114, B)))) | (~less_3(bitIndex2)) | (v84(constB114, bitIndex2) <=> v123(constB114, bitIndex2)))),
% 8.98/6.49 inference(rewrite,[status(thm)],[])).
% 8.98/6.49 tff(19141,plain,
% 8.98/6.49 ((~![B: $i] : ((~less_3(B)) | (v84(constB114, B) <=> v123(constB114, B)))) | ((~less_3(bitIndex2)) | (v84(constB114, bitIndex2) <=> v123(constB114, bitIndex2)))),
% 8.98/6.49 inference(quant_inst,[status(thm)],[])).
% 8.98/6.49 tff(19142,plain,
% 8.98/6.49 ((~![B: $i] : ((~less_3(B)) | (v84(constB114, B) <=> v123(constB114, B)))) | (~less_3(bitIndex2)) | (v84(constB114, bitIndex2) <=> v123(constB114, bitIndex2))),
% 8.98/6.49 inference(modus_ponens,[status(thm)],[19141, 19140])).
% 8.98/6.49 tff(19143,plain,
% 8.98/6.49 (v84(constB114, bitIndex2) <=> v123(constB114, bitIndex2)),
% 8.98/6.49 inference(unit_resolution,[status(thm)],[19142, 832, 19139])).
% 8.98/6.49 tff(19144,plain,
% 8.98/6.49 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB113, constB114)) | ![B: $i] : ((~less_3(B)) | (v123(constB114, B) <=> v121(constB113, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB113, constB114)) | ![B: $i] : ((~less_3(B)) | (v123(constB114, B) <=> v121(constB113, B))))),
% 8.98/6.49 inference(rewrite,[status(thm)],[])).
% 8.98/6.49 tff(19145,plain,
% 8.98/6.49 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB113, constB114)) | ![B: $i] : ((~less_3(B)) | (v123(constB114, B) <=> v121(constB113, B))))),
% 8.98/6.49 inference(quant_inst,[status(thm)],[])).
% 8.98/6.49 tff(19146,plain,
% 8.98/6.49 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB113, constB114)) | ![B: $i] : ((~less_3(B)) | (v123(constB114, B) <=> v121(constB113, B)))),
% 8.98/6.49 inference(modus_ponens,[status(thm)],[19145, 19144])).
% 8.98/6.49 tff(19147,plain,
% 8.98/6.49 (![B: $i] : ((~less_3(B)) | (v123(constB114, B) <=> v121(constB113, B)))),
% 8.98/6.49 inference(unit_resolution,[status(thm)],[19146, 4556, 9924])).
% 8.98/6.49 tff(19148,plain,
% 8.98/6.49 (((~![B: $i] : ((~less_3(B)) | (v123(constB114, B) <=> v121(constB113, B)))) | ((~less_3(bitIndex2)) | (v123(constB114, bitIndex2) <=> v121(constB113, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB114, B) <=> v121(constB113, B)))) | (~less_3(bitIndex2)) | (v123(constB114, bitIndex2) <=> v121(constB113, bitIndex2)))),
% 8.98/6.49 inference(rewrite,[status(thm)],[])).
% 8.98/6.49 tff(19149,plain,
% 8.98/6.49 ((~![B: $i] : ((~less_3(B)) | (v123(constB114, B) <=> v121(constB113, B)))) | ((~less_3(bitIndex2)) | (v123(constB114, bitIndex2) <=> v121(constB113, bitIndex2)))),
% 8.98/6.49 inference(quant_inst,[status(thm)],[])).
% 8.98/6.49 tff(19150,plain,
% 8.98/6.49 ((~![B: $i] : ((~less_3(B)) | (v123(constB114, B) <=> v121(constB113, B)))) | (~less_3(bitIndex2)) | (v123(constB114, bitIndex2) <=> v121(constB113, bitIndex2))),
% 8.98/6.49 inference(modus_ponens,[status(thm)],[19149, 19148])).
% 8.98/6.49 tff(19151,plain,
% 8.98/6.49 (v123(constB114, bitIndex2) <=> v121(constB113, bitIndex2)),
% 8.98/6.49 inference(unit_resolution,[status(thm)],[19150, 832, 19147])).
% 8.98/6.49 tff(19152,plain,
% 8.98/6.49 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB113) | ![B: $i] : ((~less_3(B)) | (v121(constB113, B) <=> v124(constB113, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB113) | ![B: $i] : ((~less_3(B)) | (v121(constB113, B) <=> v124(constB113, B))))),
% 8.98/6.49 inference(rewrite,[status(thm)],[])).
% 8.98/6.49 tff(19153,plain,
% 8.98/6.49 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB113) | ![B: $i] : ((~less_3(B)) | (v121(constB113, B) <=> v124(constB113, B))))),
% 8.98/6.49 inference(quant_inst,[status(thm)],[])).
% 8.98/6.49 tff(19154,plain,
% 8.98/6.49 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB113) | ![B: $i] : ((~less_3(B)) | (v121(constB113, B) <=> v124(constB113, B)))),
% 8.98/6.49 inference(modus_ponens,[status(thm)],[19153, 19152])).
% 8.98/6.49 tff(19155,plain,
% 8.98/6.49 (![B: $i] : ((~less_3(B)) | (v121(constB113, B) <=> v124(constB113, B)))),
% 8.98/6.49 inference(unit_resolution,[status(thm)],[19154, 9945, 19116])).
% 8.98/6.49 tff(19156,plain,
% 8.98/6.49 (((~![B: $i] : ((~less_3(B)) | (v121(constB113, B) <=> v124(constB113, B)))) | ((~less_3(bitIndex2)) | (v121(constB113, bitIndex2) <=> v124(constB113, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB113, B) <=> v124(constB113, B)))) | (~less_3(bitIndex2)) | (v121(constB113, bitIndex2) <=> v124(constB113, bitIndex2)))),
% 8.98/6.49 inference(rewrite,[status(thm)],[])).
% 8.98/6.49 tff(19157,plain,
% 8.98/6.49 ((~![B: $i] : ((~less_3(B)) | (v121(constB113, B) <=> v124(constB113, B)))) | ((~less_3(bitIndex2)) | (v121(constB113, bitIndex2) <=> v124(constB113, bitIndex2)))),
% 8.98/6.49 inference(quant_inst,[status(thm)],[])).
% 8.98/6.49 tff(19158,plain,
% 8.98/6.49 ((~![B: $i] : ((~less_3(B)) | (v121(constB113, B) <=> v124(constB113, B)))) | (~less_3(bitIndex2)) | (v121(constB113, bitIndex2) <=> v124(constB113, bitIndex2))),
% 8.98/6.49 inference(modus_ponens,[status(thm)],[19157, 19156])).
% 8.98/6.49 tff(19159,plain,
% 8.98/6.49 (v121(constB113, bitIndex2) <=> v124(constB113, bitIndex2)),
% 8.98/6.49 inference(unit_resolution,[status(thm)],[19158, 832, 19155])).
% 8.98/6.49 tff(19160,plain,
% 8.98/6.49 (((~![VarCurr: $i] : ((~v115(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b011(B))))) | ((~v115(constB113)) | ![B: $i] : ((~less_3(B)) | (v124(constB113, B) <=> b011(B))))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b011(B))))) | (~v115(constB113)) | ![B: $i] : ((~less_3(B)) | (v124(constB113, B) <=> b011(B))))),
% 8.98/6.49 inference(rewrite,[status(thm)],[])).
% 8.98/6.49 tff(19161,plain,
% 8.98/6.49 ((~![VarCurr: $i] : ((~v115(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b011(B))))) | ((~v115(constB113)) | ![B: $i] : ((~less_3(B)) | (v124(constB113, B) <=> b011(B))))),
% 8.98/6.49 inference(quant_inst,[status(thm)],[])).
% 8.98/6.49 tff(19162,plain,
% 8.98/6.49 ((~![VarCurr: $i] : ((~v115(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b011(B))))) | (~v115(constB113)) | ![B: $i] : ((~less_3(B)) | (v124(constB113, B) <=> b011(B)))),
% 8.98/6.49 inference(modus_ponens,[status(thm)],[19161, 19160])).
% 8.98/6.49 tff(19163,plain,
% 8.98/6.49 ((~v115(constB113)) | ![B: $i] : ((~less_3(B)) | (v124(constB113, B) <=> b011(B)))),
% 8.98/6.49 inference(unit_resolution,[status(thm)],[19162, 10329])).
% 8.98/6.49 tff(19164,plain,
% 8.98/6.49 (![B: $i] : ((~less_3(B)) | (v124(constB113, B) <=> b011(B)))),
% 8.98/6.49 inference(unit_resolution,[status(thm)],[19163, 19087])).
% 8.98/6.49 tff(19165,plain,
% 8.98/6.49 (((~![B: $i] : ((~less_3(B)) | (v124(constB113, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v124(constB113, bitIndex2) <=> b011(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB113, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v124(constB113, bitIndex2) <=> b011(bitIndex2)))),
% 8.98/6.49 inference(rewrite,[status(thm)],[])).
% 8.98/6.49 tff(19166,plain,
% 8.98/6.49 ((~![B: $i] : ((~less_3(B)) | (v124(constB113, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v124(constB113, bitIndex2) <=> b011(bitIndex2)))),
% 8.98/6.49 inference(quant_inst,[status(thm)],[])).
% 8.98/6.49 tff(19167,plain,
% 8.98/6.49 ((~![B: $i] : ((~less_3(B)) | (v124(constB113, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v124(constB113, bitIndex2) <=> b011(bitIndex2))),
% 8.98/6.49 inference(modus_ponens,[status(thm)],[19166, 19165])).
% 8.98/6.49 tff(19168,plain,
% 8.98/6.49 (v124(constB113, bitIndex2) <=> b011(bitIndex2)),
% 8.98/6.49 inference(unit_resolution,[status(thm)],[19167, 832, 19164])).
% 8.98/6.49 tff(19169,plain,
% 8.98/6.49 ((~(v124(constB113, bitIndex2) <=> b011(bitIndex2))) | (~v124(constB113, bitIndex2)) | b011(bitIndex2)),
% 8.98/6.49 inference(tautology,[status(thm)],[])).
% 8.98/6.49 tff(19170,plain,
% 8.98/6.49 ((~(v124(constB113, bitIndex2) <=> b011(bitIndex2))) | (~v124(constB113, bitIndex2))),
% 8.98/6.49 inference(unit_resolution,[status(thm)],[19169, 10341])).
% 8.98/6.49 tff(19171,plain,
% 8.98/6.49 (~v124(constB113, bitIndex2)),
% 8.98/6.49 inference(unit_resolution,[status(thm)],[19170, 19168])).
% 8.98/6.49 tff(19172,plain,
% 8.98/6.49 ((~(v121(constB113, bitIndex2) <=> v124(constB113, bitIndex2))) | (~v121(constB113, bitIndex2)) | v124(constB113, bitIndex2)),
% 8.98/6.49 inference(tautology,[status(thm)],[])).
% 8.98/6.49 tff(19173,plain,
% 8.98/6.49 (~v121(constB113, bitIndex2)),
% 8.98/6.49 inference(unit_resolution,[status(thm)],[19172, 19171, 19159])).
% 8.98/6.49 tff(19174,plain,
% 8.98/6.49 ((~(v123(constB114, bitIndex2) <=> v121(constB113, bitIndex2))) | (~v123(constB114, bitIndex2)) | v121(constB113, bitIndex2)),
% 8.98/6.49 inference(tautology,[status(thm)],[])).
% 8.98/6.49 tff(19175,plain,
% 8.98/6.49 (~v123(constB114, bitIndex2)),
% 8.98/6.49 inference(unit_resolution,[status(thm)],[19174, 19173, 19151])).
% 8.98/6.49 tff(19176,plain,
% 8.98/6.49 ((~(v84(constB114, bitIndex2) <=> v123(constB114, bitIndex2))) | (~v84(constB114, bitIndex2)) | v123(constB114, bitIndex2)),
% 8.98/6.49 inference(tautology,[status(thm)],[])).
% 8.98/6.49 tff(19177,plain,
% 8.98/6.49 (~v84(constB114, bitIndex2)),
% 8.98/6.49 inference(unit_resolution,[status(thm)],[19176, 19175, 19143])).
% 8.98/6.49 tff(19178,plain,
% 8.98/6.49 ((~(v84(constB115, bitIndex2) <=> v84(constB114, bitIndex2))) | (~v84(constB115, bitIndex2)) | v84(constB114, bitIndex2)),
% 8.98/6.49 inference(tautology,[status(thm)],[])).
% 8.98/6.49 tff(19179,plain,
% 8.98/6.49 (~v84(constB115, bitIndex2)),
% 8.98/6.49 inference(unit_resolution,[status(thm)],[19178, 19177, 4553])).
% 8.98/6.49 tff(19180,plain,
% 8.98/6.49 (((~![B: $i] : ((~less_3(B)) | (v84(constB115, B) <=> v84(constB114, B)))) | ((~less_3(bitIndex0)) | (v84(constB115, bitIndex0) <=> v84(constB114, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB115, B) <=> v84(constB114, B)))) | (~less_3(bitIndex0)) | (v84(constB115, bitIndex0) <=> v84(constB114, bitIndex0)))),
% 8.98/6.50 inference(rewrite,[status(thm)],[])).
% 8.98/6.50 tff(19181,plain,
% 8.98/6.50 ((~![B: $i] : ((~less_3(B)) | (v84(constB115, B) <=> v84(constB114, B)))) | ((~less_3(bitIndex0)) | (v84(constB115, bitIndex0) <=> v84(constB114, bitIndex0)))),
% 8.98/6.50 inference(quant_inst,[status(thm)],[])).
% 8.98/6.50 tff(19182,plain,
% 8.98/6.50 ((~![B: $i] : ((~less_3(B)) | (v84(constB115, B) <=> v84(constB114, B)))) | (~less_3(bitIndex0)) | (v84(constB115, bitIndex0) <=> v84(constB114, bitIndex0))),
% 8.98/6.50 inference(modus_ponens,[status(thm)],[19181, 19180])).
% 8.98/6.50 tff(19183,plain,
% 8.98/6.50 (v84(constB115, bitIndex0) <=> v84(constB114, bitIndex0)),
% 8.98/6.50 inference(unit_resolution,[status(thm)],[19182, 9772, 4549])).
% 8.98/6.50 tff(19184,plain,
% 8.98/6.50 (((~![B: $i] : ((~less_3(B)) | (v84(constB114, B) <=> v123(constB114, B)))) | ((~less_3(bitIndex0)) | (v84(constB114, bitIndex0) <=> v123(constB114, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB114, B) <=> v123(constB114, B)))) | (~less_3(bitIndex0)) | (v84(constB114, bitIndex0) <=> v123(constB114, bitIndex0)))),
% 8.98/6.50 inference(rewrite,[status(thm)],[])).
% 8.98/6.50 tff(19185,plain,
% 8.98/6.50 ((~![B: $i] : ((~less_3(B)) | (v84(constB114, B) <=> v123(constB114, B)))) | ((~less_3(bitIndex0)) | (v84(constB114, bitIndex0) <=> v123(constB114, bitIndex0)))),
% 8.98/6.50 inference(quant_inst,[status(thm)],[])).
% 8.98/6.50 tff(19186,plain,
% 8.98/6.50 ((~![B: $i] : ((~less_3(B)) | (v84(constB114, B) <=> v123(constB114, B)))) | (~less_3(bitIndex0)) | (v84(constB114, bitIndex0) <=> v123(constB114, bitIndex0))),
% 8.98/6.50 inference(modus_ponens,[status(thm)],[19185, 19184])).
% 8.98/6.50 tff(19187,plain,
% 8.98/6.50 (v84(constB114, bitIndex0) <=> v123(constB114, bitIndex0)),
% 8.98/6.50 inference(unit_resolution,[status(thm)],[19186, 9772, 19139])).
% 8.98/6.50 tff(19188,plain,
% 8.98/6.50 (((~![B: $i] : ((~less_3(B)) | (v123(constB114, B) <=> v121(constB113, B)))) | ((~less_3(bitIndex0)) | (v123(constB114, bitIndex0) <=> v121(constB113, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB114, B) <=> v121(constB113, B)))) | (~less_3(bitIndex0)) | (v123(constB114, bitIndex0) <=> v121(constB113, bitIndex0)))),
% 8.98/6.50 inference(rewrite,[status(thm)],[])).
% 8.98/6.50 tff(19189,plain,
% 8.98/6.50 ((~![B: $i] : ((~less_3(B)) | (v123(constB114, B) <=> v121(constB113, B)))) | ((~less_3(bitIndex0)) | (v123(constB114, bitIndex0) <=> v121(constB113, bitIndex0)))),
% 8.98/6.50 inference(quant_inst,[status(thm)],[])).
% 8.98/6.50 tff(19190,plain,
% 8.98/6.50 ((~![B: $i] : ((~less_3(B)) | (v123(constB114, B) <=> v121(constB113, B)))) | (~less_3(bitIndex0)) | (v123(constB114, bitIndex0) <=> v121(constB113, bitIndex0))),
% 8.98/6.50 inference(modus_ponens,[status(thm)],[19189, 19188])).
% 8.98/6.50 tff(19191,plain,
% 8.98/6.50 (v123(constB114, bitIndex0) <=> v121(constB113, bitIndex0)),
% 8.98/6.50 inference(unit_resolution,[status(thm)],[19190, 9772, 19147])).
% 8.98/6.50 tff(19192,plain,
% 8.98/6.50 (((~![B: $i] : ((~less_3(B)) | (v121(constB113, B) <=> v124(constB113, B)))) | ((~less_3(bitIndex0)) | (v121(constB113, bitIndex0) <=> v124(constB113, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB113, B) <=> v124(constB113, B)))) | (~less_3(bitIndex0)) | (v121(constB113, bitIndex0) <=> v124(constB113, bitIndex0)))),
% 8.98/6.50 inference(rewrite,[status(thm)],[])).
% 8.98/6.50 tff(19193,plain,
% 8.98/6.50 ((~![B: $i] : ((~less_3(B)) | (v121(constB113, B) <=> v124(constB113, B)))) | ((~less_3(bitIndex0)) | (v121(constB113, bitIndex0) <=> v124(constB113, bitIndex0)))),
% 8.98/6.50 inference(quant_inst,[status(thm)],[])).
% 8.98/6.50 tff(19194,plain,
% 8.98/6.50 ((~![B: $i] : ((~less_3(B)) | (v121(constB113, B) <=> v124(constB113, B)))) | (~less_3(bitIndex0)) | (v121(constB113, bitIndex0) <=> v124(constB113, bitIndex0))),
% 8.98/6.50 inference(modus_ponens,[status(thm)],[19193, 19192])).
% 8.98/6.50 tff(19195,plain,
% 8.98/6.50 (v121(constB113, bitIndex0) <=> v124(constB113, bitIndex0)),
% 8.98/6.50 inference(unit_resolution,[status(thm)],[19194, 9772, 19155])).
% 8.98/6.50 tff(19196,plain,
% 8.98/6.50 (((~![B: $i] : ((~less_3(B)) | (v124(constB113, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v124(constB113, bitIndex0) <=> b011(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB113, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v124(constB113, bitIndex0) <=> b011(bitIndex0)))),
% 8.98/6.50 inference(rewrite,[status(thm)],[])).
% 8.98/6.50 tff(19197,plain,
% 8.98/6.50 ((~![B: $i] : ((~less_3(B)) | (v124(constB113, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v124(constB113, bitIndex0) <=> b011(bitIndex0)))),
% 8.98/6.50 inference(quant_inst,[status(thm)],[])).
% 8.98/6.50 tff(19198,plain,
% 8.98/6.50 ((~![B: $i] : ((~less_3(B)) | (v124(constB113, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v124(constB113, bitIndex0) <=> b011(bitIndex0))),
% 8.98/6.50 inference(modus_ponens,[status(thm)],[19197, 19196])).
% 8.98/6.50 tff(19199,plain,
% 8.98/6.50 (v124(constB113, bitIndex0) <=> b011(bitIndex0)),
% 8.98/6.50 inference(unit_resolution,[status(thm)],[19198, 9772, 19164])).
% 8.98/6.50 tff(19200,plain,
% 8.98/6.50 ((~(v124(constB113, bitIndex0) <=> b011(bitIndex0))) | v124(constB113, bitIndex0) | (~b011(bitIndex0))),
% 8.98/6.50 inference(tautology,[status(thm)],[])).
% 8.98/6.50 tff(19201,plain,
% 8.98/6.50 ((~(v124(constB113, bitIndex0) <=> b011(bitIndex0))) | v124(constB113, bitIndex0)),
% 8.98/6.50 inference(unit_resolution,[status(thm)],[19200, 10375])).
% 8.98/6.50 tff(19202,plain,
% 8.98/6.50 (v124(constB113, bitIndex0)),
% 8.98/6.50 inference(unit_resolution,[status(thm)],[19201, 19199])).
% 8.98/6.50 tff(19203,plain,
% 8.98/6.50 ((~(v121(constB113, bitIndex0) <=> v124(constB113, bitIndex0))) | v121(constB113, bitIndex0) | (~v124(constB113, bitIndex0))),
% 8.98/6.50 inference(tautology,[status(thm)],[])).
% 8.98/6.50 tff(19204,plain,
% 8.98/6.50 (v121(constB113, bitIndex0)),
% 8.98/6.50 inference(unit_resolution,[status(thm)],[19203, 19202, 19195])).
% 8.98/6.50 tff(19205,plain,
% 8.98/6.50 ((~(v123(constB114, bitIndex0) <=> v121(constB113, bitIndex0))) | v123(constB114, bitIndex0) | (~v121(constB113, bitIndex0))),
% 8.98/6.50 inference(tautology,[status(thm)],[])).
% 8.98/6.50 tff(19206,plain,
% 8.98/6.50 (v123(constB114, bitIndex0)),
% 8.98/6.50 inference(unit_resolution,[status(thm)],[19205, 19204, 19191])).
% 8.98/6.50 tff(19207,plain,
% 8.98/6.50 ((~(v84(constB114, bitIndex0) <=> v123(constB114, bitIndex0))) | v84(constB114, bitIndex0) | (~v123(constB114, bitIndex0))),
% 8.98/6.50 inference(tautology,[status(thm)],[])).
% 8.98/6.50 tff(19208,plain,
% 8.98/6.50 (v84(constB114, bitIndex0)),
% 8.98/6.50 inference(unit_resolution,[status(thm)],[19207, 19206, 19187])).
% 8.98/6.50 tff(19209,plain,
% 8.98/6.50 ((~(v84(constB115, bitIndex0) <=> v84(constB114, bitIndex0))) | v84(constB115, bitIndex0) | (~v84(constB114, bitIndex0))),
% 8.98/6.50 inference(tautology,[status(thm)],[])).
% 8.98/6.50 tff(19210,plain,
% 8.98/6.50 (v84(constB115, bitIndex0)),
% 8.98/6.50 inference(unit_resolution,[status(thm)],[19209, 19208, 19183])).
% 8.98/6.50 tff(19211,plain,
% 8.98/6.50 (((~![B: $i] : ((~less_3(B)) | (v84(constB115, B) <=> v84(constB114, B)))) | ((~less_3(bitIndex1)) | (v84(constB115, bitIndex1) <=> v84(constB114, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB115, B) <=> v84(constB114, B)))) | (~less_3(bitIndex1)) | (v84(constB115, bitIndex1) <=> v84(constB114, bitIndex1)))),
% 8.98/6.50 inference(rewrite,[status(thm)],[])).
% 8.98/6.50 tff(19212,plain,
% 8.98/6.50 ((~![B: $i] : ((~less_3(B)) | (v84(constB115, B) <=> v84(constB114, B)))) | ((~less_3(bitIndex1)) | (v84(constB115, bitIndex1) <=> v84(constB114, bitIndex1)))),
% 8.98/6.50 inference(quant_inst,[status(thm)],[])).
% 8.98/6.50 tff(19213,plain,
% 8.98/6.50 ((~![B: $i] : ((~less_3(B)) | (v84(constB115, B) <=> v84(constB114, B)))) | (~less_3(bitIndex1)) | (v84(constB115, bitIndex1) <=> v84(constB114, bitIndex1))),
% 8.98/6.50 inference(modus_ponens,[status(thm)],[19212, 19211])).
% 8.98/6.50 tff(19214,plain,
% 8.98/6.50 (v84(constB115, bitIndex1) <=> v84(constB114, bitIndex1)),
% 8.98/6.50 inference(unit_resolution,[status(thm)],[19213, 9785, 4549])).
% 8.98/6.50 tff(19215,plain,
% 8.98/6.50 (((~![B: $i] : ((~less_3(B)) | (v84(constB114, B) <=> v123(constB114, B)))) | ((~less_3(bitIndex1)) | (v84(constB114, bitIndex1) <=> v123(constB114, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB114, B) <=> v123(constB114, B)))) | (~less_3(bitIndex1)) | (v84(constB114, bitIndex1) <=> v123(constB114, bitIndex1)))),
% 8.98/6.50 inference(rewrite,[status(thm)],[])).
% 8.98/6.50 tff(19216,plain,
% 8.98/6.50 ((~![B: $i] : ((~less_3(B)) | (v84(constB114, B) <=> v123(constB114, B)))) | ((~less_3(bitIndex1)) | (v84(constB114, bitIndex1) <=> v123(constB114, bitIndex1)))),
% 8.98/6.50 inference(quant_inst,[status(thm)],[])).
% 8.98/6.50 tff(19217,plain,
% 8.98/6.50 ((~![B: $i] : ((~less_3(B)) | (v84(constB114, B) <=> v123(constB114, B)))) | (~less_3(bitIndex1)) | (v84(constB114, bitIndex1) <=> v123(constB114, bitIndex1))),
% 8.98/6.50 inference(modus_ponens,[status(thm)],[19216, 19215])).
% 8.98/6.50 tff(19218,plain,
% 8.98/6.50 (v84(constB114, bitIndex1) <=> v123(constB114, bitIndex1)),
% 8.98/6.50 inference(unit_resolution,[status(thm)],[19217, 9785, 19139])).
% 8.98/6.50 tff(19219,plain,
% 8.98/6.50 (((~![B: $i] : ((~less_3(B)) | (v123(constB114, B) <=> v121(constB113, B)))) | ((~less_3(bitIndex1)) | (v123(constB114, bitIndex1) <=> v121(constB113, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB114, B) <=> v121(constB113, B)))) | (~less_3(bitIndex1)) | (v123(constB114, bitIndex1) <=> v121(constB113, bitIndex1)))),
% 8.98/6.50 inference(rewrite,[status(thm)],[])).
% 8.98/6.50 tff(19220,plain,
% 8.98/6.50 ((~![B: $i] : ((~less_3(B)) | (v123(constB114, B) <=> v121(constB113, B)))) | ((~less_3(bitIndex1)) | (v123(constB114, bitIndex1) <=> v121(constB113, bitIndex1)))),
% 8.98/6.50 inference(quant_inst,[status(thm)],[])).
% 8.98/6.50 tff(19221,plain,
% 8.98/6.50 ((~![B: $i] : ((~less_3(B)) | (v123(constB114, B) <=> v121(constB113, B)))) | (~less_3(bitIndex1)) | (v123(constB114, bitIndex1) <=> v121(constB113, bitIndex1))),
% 8.98/6.50 inference(modus_ponens,[status(thm)],[19220, 19219])).
% 8.98/6.50 tff(19222,plain,
% 8.98/6.50 (v123(constB114, bitIndex1) <=> v121(constB113, bitIndex1)),
% 8.98/6.50 inference(unit_resolution,[status(thm)],[19221, 9785, 19147])).
% 8.98/6.50 tff(19223,plain,
% 8.98/6.50 (((~![B: $i] : ((~less_3(B)) | (v121(constB113, B) <=> v124(constB113, B)))) | ((~less_3(bitIndex1)) | (v121(constB113, bitIndex1) <=> v124(constB113, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB113, B) <=> v124(constB113, B)))) | (~less_3(bitIndex1)) | (v121(constB113, bitIndex1) <=> v124(constB113, bitIndex1)))),
% 8.98/6.50 inference(rewrite,[status(thm)],[])).
% 8.98/6.50 tff(19224,plain,
% 8.98/6.50 ((~![B: $i] : ((~less_3(B)) | (v121(constB113, B) <=> v124(constB113, B)))) | ((~less_3(bitIndex1)) | (v121(constB113, bitIndex1) <=> v124(constB113, bitIndex1)))),
% 8.98/6.50 inference(quant_inst,[status(thm)],[])).
% 8.98/6.50 tff(19225,plain,
% 8.98/6.50 ((~![B: $i] : ((~less_3(B)) | (v121(constB113, B) <=> v124(constB113, B)))) | (~less_3(bitIndex1)) | (v121(constB113, bitIndex1) <=> v124(constB113, bitIndex1))),
% 8.98/6.50 inference(modus_ponens,[status(thm)],[19224, 19223])).
% 8.98/6.50 tff(19226,plain,
% 8.98/6.50 (v121(constB113, bitIndex1) <=> v124(constB113, bitIndex1)),
% 8.98/6.50 inference(unit_resolution,[status(thm)],[19225, 9785, 19155])).
% 8.98/6.50 tff(19227,plain,
% 8.98/6.50 (((~![B: $i] : ((~less_3(B)) | (v124(constB113, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v124(constB113, bitIndex1) <=> b011(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB113, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v124(constB113, bitIndex1) <=> b011(bitIndex1)))),
% 8.98/6.50 inference(rewrite,[status(thm)],[])).
% 8.98/6.50 tff(19228,plain,
% 8.98/6.50 ((~![B: $i] : ((~less_3(B)) | (v124(constB113, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v124(constB113, bitIndex1) <=> b011(bitIndex1)))),
% 8.98/6.50 inference(quant_inst,[status(thm)],[])).
% 8.98/6.50 tff(19229,plain,
% 8.98/6.50 ((~![B: $i] : ((~less_3(B)) | (v124(constB113, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v124(constB113, bitIndex1) <=> b011(bitIndex1))),
% 8.98/6.50 inference(modus_ponens,[status(thm)],[19228, 19227])).
% 8.98/6.50 tff(19230,plain,
% 8.98/6.50 (v124(constB113, bitIndex1) <=> b011(bitIndex1)),
% 8.98/6.50 inference(unit_resolution,[status(thm)],[19229, 9785, 19164])).
% 8.98/6.50 tff(19231,plain,
% 8.98/6.50 ((~(v124(constB113, bitIndex1) <=> b011(bitIndex1))) | v124(constB113, bitIndex1) | (~b011(bitIndex1))),
% 8.98/6.50 inference(tautology,[status(thm)],[])).
% 8.98/6.50 tff(19232,plain,
% 8.98/6.50 ((~(v124(constB113, bitIndex1) <=> b011(bitIndex1))) | v124(constB113, bitIndex1)),
% 8.98/6.50 inference(unit_resolution,[status(thm)],[19231, 10409])).
% 8.98/6.50 tff(19233,plain,
% 8.98/6.50 (v124(constB113, bitIndex1)),
% 8.98/6.50 inference(unit_resolution,[status(thm)],[19232, 19230])).
% 8.98/6.50 tff(19234,plain,
% 8.98/6.50 ((~(v121(constB113, bitIndex1) <=> v124(constB113, bitIndex1))) | v121(constB113, bitIndex1) | (~v124(constB113, bitIndex1))),
% 8.98/6.50 inference(tautology,[status(thm)],[])).
% 8.98/6.50 tff(19235,plain,
% 8.98/6.50 (v121(constB113, bitIndex1)),
% 8.98/6.50 inference(unit_resolution,[status(thm)],[19234, 19233, 19226])).
% 8.98/6.50 tff(19236,plain,
% 8.98/6.50 ((~(v123(constB114, bitIndex1) <=> v121(constB113, bitIndex1))) | v123(constB114, bitIndex1) | (~v121(constB113, bitIndex1))),
% 8.98/6.50 inference(tautology,[status(thm)],[])).
% 8.98/6.50 tff(19237,plain,
% 8.98/6.50 (v123(constB114, bitIndex1)),
% 8.98/6.50 inference(unit_resolution,[status(thm)],[19236, 19235, 19222])).
% 8.98/6.50 tff(19238,plain,
% 8.98/6.50 ((~(v84(constB114, bitIndex1) <=> v123(constB114, bitIndex1))) | v84(constB114, bitIndex1) | (~v123(constB114, bitIndex1))),
% 8.98/6.50 inference(tautology,[status(thm)],[])).
% 8.98/6.50 tff(19239,plain,
% 8.98/6.50 (v84(constB114, bitIndex1)),
% 8.98/6.50 inference(unit_resolution,[status(thm)],[19238, 19237, 19218])).
% 8.98/6.50 tff(19240,plain,
% 8.98/6.50 ((~(v84(constB115, bitIndex1) <=> v84(constB114, bitIndex1))) | v84(constB115, bitIndex1) | (~v84(constB114, bitIndex1))),
% 8.98/6.50 inference(tautology,[status(thm)],[])).
% 8.98/6.50 tff(19241,plain,
% 8.98/6.50 (v84(constB115, bitIndex1)),
% 8.98/6.50 inference(unit_resolution,[status(thm)],[19240, 19239, 19214])).
% 8.98/6.50 tff(19242,plain,
% 8.98/6.50 ((~(v84(constB115, bitIndex2) | (~v84(constB115, bitIndex1)) | (~v84(constB115, bitIndex0)))) | v84(constB115, bitIndex2) | (~v84(constB115, bitIndex1)) | (~v84(constB115, bitIndex0))),
% 8.98/6.50 inference(tautology,[status(thm)],[])).
% 8.98/6.50 tff(19243,plain,
% 8.98/6.50 (~(v84(constB115, bitIndex2) | (~v84(constB115, bitIndex1)) | (~v84(constB115, bitIndex0)))),
% 8.98/6.50 inference(unit_resolution,[status(thm)],[19242, 19241, 19210, 19179])).
% 8.98/6.50 tff(19244,plain,
% 8.98/6.50 ((~(v116(constB115) <=> (~(v84(constB115, bitIndex2) | (~v84(constB115, bitIndex1)) | (~v84(constB115, bitIndex0)))))) | v116(constB115) | (v84(constB115, bitIndex2) | (~v84(constB115, bitIndex1)) | (~v84(constB115, bitIndex0)))),
% 8.98/6.50 inference(tautology,[status(thm)],[])).
% 8.98/6.50 tff(19245,plain,
% 8.98/6.50 (v116(constB115)),
% 8.98/6.50 inference(unit_resolution,[status(thm)],[19244, 19243, 4521])).
% 8.98/6.50 tff(19246,plain,
% 8.98/6.50 ((v111(constB115) | v116(constB115)) | (~v116(constB115))),
% 8.98/6.50 inference(tautology,[status(thm)],[])).
% 8.98/6.50 tff(19247,plain,
% 8.98/6.50 (v111(constB115) | v116(constB115)),
% 8.98/6.50 inference(unit_resolution,[status(thm)],[19246, 19245])).
% 8.98/6.50 tff(19248,plain,
% 8.98/6.50 ((~(v110(constB115) <=> (v111(constB115) | v116(constB115)))) | v110(constB115) | (~(v111(constB115) | v116(constB115)))),
% 8.98/6.50 inference(tautology,[status(thm)],[])).
% 8.98/6.50 tff(19249,plain,
% 8.98/6.50 (v110(constB115)),
% 8.98/6.50 inference(unit_resolution,[status(thm)],[19248, 19247, 4519])).
% 8.98/6.50 tff(19250,plain,
% 8.98/6.50 ((v110(constB115) | v117(constB115)) | (~v110(constB115))),
% 8.98/6.50 inference(tautology,[status(thm)],[])).
% 8.98/6.50 tff(19251,plain,
% 8.98/6.50 (v110(constB115) | v117(constB115)),
% 8.98/6.50 inference(unit_resolution,[status(thm)],[19250, 19249])).
% 8.98/6.50 tff(19252,plain,
% 8.98/6.50 ((~(v109(constB115) <=> (v110(constB115) | v117(constB115)))) | v109(constB115) | (~(v110(constB115) | v117(constB115)))),
% 8.98/6.50 inference(tautology,[status(thm)],[])).
% 8.98/6.50 tff(19253,plain,
% 8.98/6.50 (v109(constB115)),
% 8.98/6.50 inference(unit_resolution,[status(thm)],[19252, 19251, 4517])).
% 8.98/6.50 tff(19254,plain,
% 8.98/6.50 ((v109(constB115) | v118(constB115)) | (~v109(constB115))),
% 8.98/6.50 inference(tautology,[status(thm)],[])).
% 8.98/6.50 tff(19255,plain,
% 8.98/6.50 (v109(constB115) | v118(constB115)),
% 8.98/6.50 inference(unit_resolution,[status(thm)],[19254, 19253])).
% 8.98/6.50 tff(19256,plain,
% 8.98/6.50 ((~(v108(constB115) <=> (v109(constB115) | v118(constB115)))) | v108(constB115) | (~(v109(constB115) | v118(constB115)))),
% 8.98/6.50 inference(tautology,[status(thm)],[])).
% 8.98/6.50 tff(19257,plain,
% 8.98/6.50 (v108(constB115)),
% 8.98/6.50 inference(unit_resolution,[status(thm)],[19256, 19255, 4515])).
% 8.98/6.50 tff(19258,plain,
% 8.98/6.50 ((v108(constB115) | v119(constB115)) | (~v108(constB115))),
% 8.98/6.50 inference(tautology,[status(thm)],[])).
% 8.98/6.50 tff(19259,plain,
% 8.98/6.50 (v108(constB115) | v119(constB115)),
% 8.98/6.50 inference(unit_resolution,[status(thm)],[19258, 19257])).
% 8.98/6.50 tff(19260,plain,
% 8.98/6.50 ((~(v107(constB115) <=> (v108(constB115) | v119(constB115)))) | v107(constB115) | (~(v108(constB115) | v119(constB115)))),
% 8.98/6.50 inference(tautology,[status(thm)],[])).
% 8.98/6.50 tff(19261,plain,
% 8.98/6.50 (v107(constB115)),
% 8.98/6.50 inference(unit_resolution,[status(thm)],[19260, 19259, 4513])).
% 8.98/6.50 tff(19262,plain,
% 8.98/6.50 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB115)) <=> v105(constB115))),
% 8.98/6.50 inference(quant_inst,[status(thm)],[])).
% 8.98/6.50 tff(19263,plain,
% 8.98/6.50 ((~v120(constB115)) <=> v105(constB115)),
% 8.98/6.50 inference(unit_resolution,[status(thm)],[19262, 9842])).
% 8.98/6.50 tff(19264,plain,
% 8.98/6.50 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB115) <=> v26(constB115))),
% 8.98/6.50 inference(quant_inst,[status(thm)],[])).
% 8.98/6.50 tff(19265,plain,
% 8.98/6.50 (v105(constB115) <=> v26(constB115)),
% 8.98/6.50 inference(unit_resolution,[status(thm)],[19264, 9854])).
% 8.98/6.50 tff(19266,plain,
% 8.98/6.50 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB115))),
% 8.98/6.50 inference(quant_inst,[status(thm)],[])).
% 8.98/6.50 tff(19267,plain,
% 8.98/6.50 (~v26(constB115)),
% 8.98/6.50 inference(unit_resolution,[status(thm)],[19266, 9866])).
% 8.98/6.50 tff(19268,plain,
% 8.98/6.50 ((~(v105(constB115) <=> v26(constB115))) | (~v105(constB115)) | v26(constB115)),
% 8.98/6.50 inference(tautology,[status(thm)],[])).
% 8.98/6.50 tff(19269,plain,
% 8.98/6.50 ((~(v105(constB115) <=> v26(constB115))) | (~v105(constB115))),
% 8.98/6.50 inference(unit_resolution,[status(thm)],[19268, 19267])).
% 8.98/6.50 tff(19270,plain,
% 8.98/6.50 (~v105(constB115)),
% 8.98/6.50 inference(unit_resolution,[status(thm)],[19269, 19265])).
% 8.98/6.50 tff(19271,plain,
% 8.98/6.50 ((~((~v120(constB115)) <=> v105(constB115))) | v120(constB115) | v105(constB115)),
% 8.98/6.50 inference(tautology,[status(thm)],[])).
% 8.98/6.50 tff(19272,plain,
% 8.98/6.50 ((~((~v120(constB115)) <=> v105(constB115))) | v120(constB115)),
% 8.98/6.50 inference(unit_resolution,[status(thm)],[19271, 19270])).
% 8.98/6.50 tff(19273,plain,
% 8.98/6.50 (v120(constB115)),
% 8.98/6.50 inference(unit_resolution,[status(thm)],[19272, 19263])).
% 8.98/6.50 tff(19274,plain,
% 8.98/6.50 ((~((~v107(constB115)) | (~v120(constB115)))) | (~v107(constB115)) | (~v120(constB115))),
% 8.98/6.50 inference(tautology,[status(thm)],[])).
% 8.98/6.50 tff(19275,plain,
% 8.98/6.50 ((~((~v107(constB115)) | (~v120(constB115)))) | (~v107(constB115))),
% 8.98/6.50 inference(unit_resolution,[status(thm)],[19274, 19273])).
% 8.98/6.50 tff(19276,plain,
% 8.98/6.50 (~((~v107(constB115)) | (~v120(constB115)))),
% 8.98/6.50 inference(unit_resolution,[status(thm)],[19275, 19261])).
% 8.98/6.50 tff(19277,plain,
% 8.98/6.50 ((~(v106(constB115) <=> (~((~v107(constB115)) | (~v120(constB115)))))) | v106(constB115) | ((~v107(constB115)) | (~v120(constB115)))),
% 8.98/6.50 inference(tautology,[status(thm)],[])).
% 8.98/6.50 tff(19278,plain,
% 8.98/6.50 (v106(constB115)),
% 8.98/6.50 inference(unit_resolution,[status(thm)],[19277, 19276, 4511])).
% 8.98/6.50 tff(19279,plain,
% 8.98/6.50 ((v105(constB115) | v106(constB115)) | (~v106(constB115))),
% 8.98/6.50 inference(tautology,[status(thm)],[])).
% 8.98/6.50 tff(19280,plain,
% 8.98/6.50 (v105(constB115) | v106(constB115)),
% 8.98/6.50 inference(unit_resolution,[status(thm)],[19279, 19278])).
% 8.98/6.50 tff(19281,plain,
% 8.98/6.50 ((~(v102(constB115) <=> (v105(constB115) | v106(constB115)))) | v102(constB115) | (~(v105(constB115) | v106(constB115)))),
% 8.98/6.50 inference(tautology,[status(thm)],[])).
% 8.98/6.50 tff(19282,plain,
% 8.98/6.50 (v102(constB115)),
% 8.98/6.50 inference(unit_resolution,[status(thm)],[19281, 19280, 4509])).
% 8.98/6.50 tff(19283,plain,
% 8.98/6.50 ((~(v104(constB116) <=> v102(constB115))) | v104(constB116) | (~v102(constB115))),
% 8.98/6.50 inference(tautology,[status(thm)],[])).
% 8.98/6.50 tff(19284,plain,
% 8.98/6.50 (v104(constB116)),
% 8.98/6.50 inference(unit_resolution,[status(thm)],[19283, 19282, 4507])).
% 8.98/6.50 tff(19285,plain,
% 8.98/6.50 ((~((~v104(constB116)) | (~v95(constB116)))) | (~v104(constB116)) | (~v95(constB116))),
% 8.98/6.50 inference(tautology,[status(thm)],[])).
% 8.98/6.50 tff(19286,plain,
% 8.98/6.50 (~((~v104(constB116)) | (~v95(constB116)))),
% 8.98/6.50 inference(unit_resolution,[status(thm)],[19285, 19284, 4503])).
% 8.98/6.50 tff(19287,plain,
% 8.98/6.50 ((~(v94(constB116) <=> (~((~v104(constB116)) | (~v95(constB116)))))) | v94(constB116) | ((~v104(constB116)) | (~v95(constB116)))),
% 8.98/6.50 inference(tautology,[status(thm)],[])).
% 8.98/6.50 tff(19288,plain,
% 8.98/6.50 (v94(constB116)),
% 8.98/6.50 inference(unit_resolution,[status(thm)],[19287, 19286, 4472])).
% 8.98/6.50 tff(19289,plain,
% 8.98/6.50 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB116)) | ![B: $i] : ((~less_3(B)) | (v84(constB116, B) <=> v123(constB116, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB116)) | ![B: $i] : ((~less_3(B)) | (v84(constB116, B) <=> v123(constB116, B))))),
% 8.98/6.50 inference(rewrite,[status(thm)],[])).
% 8.98/6.50 tff(19290,plain,
% 8.98/6.50 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB116)) | ![B: $i] : ((~less_3(B)) | (v84(constB116, B) <=> v123(constB116, B))))),
% 8.98/6.50 inference(quant_inst,[status(thm)],[])).
% 8.98/6.50 tff(19291,plain,
% 8.98/6.50 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB116)) | ![B: $i] : ((~less_3(B)) | (v84(constB116, B) <=> v123(constB116, B)))),
% 8.98/6.50 inference(modus_ponens,[status(thm)],[19290, 19289])).
% 8.98/6.50 tff(19292,plain,
% 8.98/6.50 ((~v94(constB116)) | ![B: $i] : ((~less_3(B)) | (v84(constB116, B) <=> v123(constB116, B)))),
% 8.98/6.50 inference(unit_resolution,[status(thm)],[19291, 9902])).
% 8.98/6.50 tff(19293,plain,
% 8.98/6.50 (![B: $i] : ((~less_3(B)) | (v84(constB116, B) <=> v123(constB116, B)))),
% 8.98/6.50 inference(unit_resolution,[status(thm)],[19292, 19288])).
% 8.98/6.50 tff(19294,plain,
% 8.98/6.50 (((~![B: $i] : ((~less_3(B)) | (v84(constB116, B) <=> v123(constB116, B)))) | ((~less_3(bitIndex2)) | (v84(constB116, bitIndex2) <=> v123(constB116, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB116, B) <=> v123(constB116, B)))) | (~less_3(bitIndex2)) | (v84(constB116, bitIndex2) <=> v123(constB116, bitIndex2)))),
% 8.98/6.50 inference(rewrite,[status(thm)],[])).
% 8.98/6.50 tff(19295,plain,
% 8.98/6.50 ((~![B: $i] : ((~less_3(B)) | (v84(constB116, B) <=> v123(constB116, B)))) | ((~less_3(bitIndex2)) | (v84(constB116, bitIndex2) <=> v123(constB116, bitIndex2)))),
% 8.98/6.50 inference(quant_inst,[status(thm)],[])).
% 8.98/6.50 tff(19296,plain,
% 8.98/6.50 ((~![B: $i] : ((~less_3(B)) | (v84(constB116, B) <=> v123(constB116, B)))) | (~less_3(bitIndex2)) | (v84(constB116, bitIndex2) <=> v123(constB116, bitIndex2))),
% 8.98/6.50 inference(modus_ponens,[status(thm)],[19295, 19294])).
% 8.98/6.50 tff(19297,plain,
% 8.98/6.50 (v84(constB116, bitIndex2) <=> v123(constB116, bitIndex2)),
% 8.98/6.50 inference(unit_resolution,[status(thm)],[19296, 832, 19293])).
% 8.98/6.50 tff(19298,plain,
% 8.98/6.50 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB115, constB116)) | ![B: $i] : ((~less_3(B)) | (v123(constB116, B) <=> v121(constB115, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB115, constB116)) | ![B: $i] : ((~less_3(B)) | (v123(constB116, B) <=> v121(constB115, B))))),
% 8.98/6.50 inference(rewrite,[status(thm)],[])).
% 8.98/6.50 tff(19299,plain,
% 8.98/6.50 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB115, constB116)) | ![B: $i] : ((~less_3(B)) | (v123(constB116, B) <=> v121(constB115, B))))),
% 8.98/6.50 inference(quant_inst,[status(thm)],[])).
% 8.98/6.50 tff(19300,plain,
% 8.98/6.50 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB115, constB116)) | ![B: $i] : ((~less_3(B)) | (v123(constB116, B) <=> v121(constB115, B)))),
% 8.98/6.50 inference(modus_ponens,[status(thm)],[19299, 19298])).
% 8.98/6.50 tff(19301,plain,
% 8.98/6.50 (![B: $i] : ((~less_3(B)) | (v123(constB116, B) <=> v121(constB115, B)))),
% 8.98/6.50 inference(unit_resolution,[status(thm)],[19300, 4468, 9924])).
% 8.98/6.50 tff(19302,plain,
% 8.98/6.50 (((~![B: $i] : ((~less_3(B)) | (v123(constB116, B) <=> v121(constB115, B)))) | ((~less_3(bitIndex2)) | (v123(constB116, bitIndex2) <=> v121(constB115, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB116, B) <=> v121(constB115, B)))) | (~less_3(bitIndex2)) | (v123(constB116, bitIndex2) <=> v121(constB115, bitIndex2)))),
% 8.98/6.50 inference(rewrite,[status(thm)],[])).
% 8.98/6.50 tff(19303,plain,
% 8.98/6.50 ((~![B: $i] : ((~less_3(B)) | (v123(constB116, B) <=> v121(constB115, B)))) | ((~less_3(bitIndex2)) | (v123(constB116, bitIndex2) <=> v121(constB115, bitIndex2)))),
% 8.98/6.50 inference(quant_inst,[status(thm)],[])).
% 8.98/6.50 tff(19304,plain,
% 8.98/6.50 ((~![B: $i] : ((~less_3(B)) | (v123(constB116, B) <=> v121(constB115, B)))) | (~less_3(bitIndex2)) | (v123(constB116, bitIndex2) <=> v121(constB115, bitIndex2))),
% 8.98/6.50 inference(modus_ponens,[status(thm)],[19303, 19302])).
% 8.98/6.50 tff(19305,plain,
% 8.98/6.50 (v123(constB116, bitIndex2) <=> v121(constB115, bitIndex2)),
% 8.98/6.50 inference(unit_resolution,[status(thm)],[19304, 832, 19301])).
% 8.98/6.50 tff(19306,plain,
% 8.98/6.50 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB115) | ![B: $i] : ((~less_3(B)) | (v121(constB115, B) <=> v124(constB115, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB115) | ![B: $i] : ((~less_3(B)) | (v121(constB115, B) <=> v124(constB115, B))))),
% 8.98/6.50 inference(rewrite,[status(thm)],[])).
% 8.98/6.50 tff(19307,plain,
% 8.98/6.50 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB115) | ![B: $i] : ((~less_3(B)) | (v121(constB115, B) <=> v124(constB115, B))))),
% 8.98/6.50 inference(quant_inst,[status(thm)],[])).
% 8.98/6.50 tff(19308,plain,
% 8.98/6.50 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB115) | ![B: $i] : ((~less_3(B)) | (v121(constB115, B) <=> v124(constB115, B)))),
% 8.98/6.50 inference(modus_ponens,[status(thm)],[19307, 19306])).
% 8.98/6.50 tff(19309,plain,
% 8.98/6.50 (![B: $i] : ((~less_3(B)) | (v121(constB115, B) <=> v124(constB115, B)))),
% 8.98/6.50 inference(unit_resolution,[status(thm)],[19308, 9945, 19270])).
% 8.98/6.50 tff(19310,plain,
% 8.98/6.50 (((~![B: $i] : ((~less_3(B)) | (v121(constB115, B) <=> v124(constB115, B)))) | ((~less_3(bitIndex2)) | (v121(constB115, bitIndex2) <=> v124(constB115, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB115, B) <=> v124(constB115, B)))) | (~less_3(bitIndex2)) | (v121(constB115, bitIndex2) <=> v124(constB115, bitIndex2)))),
% 8.98/6.50 inference(rewrite,[status(thm)],[])).
% 8.98/6.50 tff(19311,plain,
% 8.98/6.50 ((~![B: $i] : ((~less_3(B)) | (v121(constB115, B) <=> v124(constB115, B)))) | ((~less_3(bitIndex2)) | (v121(constB115, bitIndex2) <=> v124(constB115, bitIndex2)))),
% 8.98/6.50 inference(quant_inst,[status(thm)],[])).
% 8.98/6.50 tff(19312,plain,
% 8.98/6.50 ((~![B: $i] : ((~less_3(B)) | (v121(constB115, B) <=> v124(constB115, B)))) | (~less_3(bitIndex2)) | (v121(constB115, bitIndex2) <=> v124(constB115, bitIndex2))),
% 8.98/6.50 inference(modus_ponens,[status(thm)],[19311, 19310])).
% 8.98/6.50 tff(19313,plain,
% 8.98/6.50 (v121(constB115, bitIndex2) <=> v124(constB115, bitIndex2)),
% 8.98/6.50 inference(unit_resolution,[status(thm)],[19312, 832, 19309])).
% 8.98/6.50 tff(19314,plain,
% 8.98/6.50 (((~![VarCurr: $i] : ((~v116(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b100(B))))) | ((~v116(constB115)) | ![B: $i] : ((~less_3(B)) | (v124(constB115, B) <=> b100(B))))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b100(B))))) | (~v116(constB115)) | ![B: $i] : ((~less_3(B)) | (v124(constB115, B) <=> b100(B))))),
% 8.98/6.50 inference(rewrite,[status(thm)],[])).
% 8.98/6.50 tff(19315,plain,
% 8.98/6.50 ((~![VarCurr: $i] : ((~v116(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b100(B))))) | ((~v116(constB115)) | ![B: $i] : ((~less_3(B)) | (v124(constB115, B) <=> b100(B))))),
% 8.98/6.50 inference(quant_inst,[status(thm)],[])).
% 8.98/6.50 tff(19316,plain,
% 8.98/6.50 ((~![VarCurr: $i] : ((~v116(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b100(B))))) | (~v116(constB115)) | ![B: $i] : ((~less_3(B)) | (v124(constB115, B) <=> b100(B)))),
% 8.98/6.50 inference(modus_ponens,[status(thm)],[19315, 19314])).
% 8.98/6.50 tff(19317,plain,
% 8.98/6.50 ((~v116(constB115)) | ![B: $i] : ((~less_3(B)) | (v124(constB115, B) <=> b100(B)))),
% 8.98/6.50 inference(unit_resolution,[status(thm)],[19316, 10505])).
% 8.98/6.50 tff(19318,plain,
% 8.98/6.50 (![B: $i] : ((~less_3(B)) | (v124(constB115, B) <=> b100(B)))),
% 8.98/6.50 inference(unit_resolution,[status(thm)],[19317, 19245])).
% 8.98/6.50 tff(19319,plain,
% 8.98/6.50 (((~![B: $i] : ((~less_3(B)) | (v124(constB115, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v124(constB115, bitIndex2) <=> b100(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB115, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v124(constB115, bitIndex2) <=> b100(bitIndex2)))),
% 8.98/6.50 inference(rewrite,[status(thm)],[])).
% 8.98/6.50 tff(19320,plain,
% 8.98/6.50 ((~![B: $i] : ((~less_3(B)) | (v124(constB115, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v124(constB115, bitIndex2) <=> b100(bitIndex2)))),
% 8.99/6.50 inference(quant_inst,[status(thm)],[])).
% 8.99/6.50 tff(19321,plain,
% 8.99/6.50 ((~![B: $i] : ((~less_3(B)) | (v124(constB115, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v124(constB115, bitIndex2) <=> b100(bitIndex2))),
% 8.99/6.50 inference(modus_ponens,[status(thm)],[19320, 19319])).
% 8.99/6.50 tff(19322,plain,
% 8.99/6.50 (v124(constB115, bitIndex2) <=> b100(bitIndex2)),
% 8.99/6.50 inference(unit_resolution,[status(thm)],[19321, 832, 19318])).
% 8.99/6.50 tff(19323,plain,
% 8.99/6.50 ((~(v124(constB115, bitIndex2) <=> b100(bitIndex2))) | v124(constB115, bitIndex2) | (~b100(bitIndex2))),
% 8.99/6.50 inference(tautology,[status(thm)],[])).
% 8.99/6.50 tff(19324,plain,
% 8.99/6.50 ((~(v124(constB115, bitIndex2) <=> b100(bitIndex2))) | v124(constB115, bitIndex2)),
% 8.99/6.50 inference(unit_resolution,[status(thm)],[19323, 10517])).
% 8.99/6.50 tff(19325,plain,
% 8.99/6.50 (v124(constB115, bitIndex2)),
% 8.99/6.50 inference(unit_resolution,[status(thm)],[19324, 19322])).
% 8.99/6.50 tff(19326,plain,
% 8.99/6.50 ((~(v121(constB115, bitIndex2) <=> v124(constB115, bitIndex2))) | v121(constB115, bitIndex2) | (~v124(constB115, bitIndex2))),
% 8.99/6.50 inference(tautology,[status(thm)],[])).
% 8.99/6.50 tff(19327,plain,
% 8.99/6.50 (v121(constB115, bitIndex2)),
% 8.99/6.50 inference(unit_resolution,[status(thm)],[19326, 19325, 19313])).
% 8.99/6.50 tff(19328,plain,
% 8.99/6.50 ((~(v123(constB116, bitIndex2) <=> v121(constB115, bitIndex2))) | v123(constB116, bitIndex2) | (~v121(constB115, bitIndex2))),
% 8.99/6.50 inference(tautology,[status(thm)],[])).
% 8.99/6.50 tff(19329,plain,
% 8.99/6.50 (v123(constB116, bitIndex2)),
% 8.99/6.50 inference(unit_resolution,[status(thm)],[19328, 19327, 19305])).
% 8.99/6.50 tff(19330,plain,
% 8.99/6.50 ((~(v84(constB116, bitIndex2) <=> v123(constB116, bitIndex2))) | v84(constB116, bitIndex2) | (~v123(constB116, bitIndex2))),
% 8.99/6.50 inference(tautology,[status(thm)],[])).
% 8.99/6.50 tff(19331,plain,
% 8.99/6.50 (v84(constB116, bitIndex2)),
% 8.99/6.50 inference(unit_resolution,[status(thm)],[19330, 19329, 19297])).
% 8.99/6.50 tff(19332,plain,
% 8.99/6.50 ((~(v84(constB117, bitIndex2) <=> v84(constB116, bitIndex2))) | v84(constB117, bitIndex2) | (~v84(constB116, bitIndex2))),
% 8.99/6.50 inference(tautology,[status(thm)],[])).
% 8.99/6.50 tff(19333,plain,
% 8.99/6.50 (v84(constB117, bitIndex2)),
% 8.99/6.50 inference(unit_resolution,[status(thm)],[19332, 19331, 4465])).
% 8.99/6.50 tff(19334,plain,
% 8.99/6.50 (((~![B: $i] : ((~less_3(B)) | (v84(constB117, B) <=> v84(constB116, B)))) | ((~less_3(bitIndex0)) | (v84(constB117, bitIndex0) <=> v84(constB116, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB117, B) <=> v84(constB116, B)))) | (~less_3(bitIndex0)) | (v84(constB117, bitIndex0) <=> v84(constB116, bitIndex0)))),
% 8.99/6.50 inference(rewrite,[status(thm)],[])).
% 8.99/6.50 tff(19335,plain,
% 8.99/6.50 ((~![B: $i] : ((~less_3(B)) | (v84(constB117, B) <=> v84(constB116, B)))) | ((~less_3(bitIndex0)) | (v84(constB117, bitIndex0) <=> v84(constB116, bitIndex0)))),
% 8.99/6.50 inference(quant_inst,[status(thm)],[])).
% 8.99/6.50 tff(19336,plain,
% 8.99/6.50 ((~![B: $i] : ((~less_3(B)) | (v84(constB117, B) <=> v84(constB116, B)))) | (~less_3(bitIndex0)) | (v84(constB117, bitIndex0) <=> v84(constB116, bitIndex0))),
% 8.99/6.50 inference(modus_ponens,[status(thm)],[19335, 19334])).
% 8.99/6.50 tff(19337,plain,
% 8.99/6.50 (v84(constB117, bitIndex0) <=> v84(constB116, bitIndex0)),
% 8.99/6.50 inference(unit_resolution,[status(thm)],[19336, 9772, 4461])).
% 8.99/6.50 tff(19338,plain,
% 8.99/6.50 (((~![B: $i] : ((~less_3(B)) | (v84(constB116, B) <=> v123(constB116, B)))) | ((~less_3(bitIndex0)) | (v84(constB116, bitIndex0) <=> v123(constB116, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB116, B) <=> v123(constB116, B)))) | (~less_3(bitIndex0)) | (v84(constB116, bitIndex0) <=> v123(constB116, bitIndex0)))),
% 8.99/6.50 inference(rewrite,[status(thm)],[])).
% 8.99/6.50 tff(19339,plain,
% 8.99/6.50 ((~![B: $i] : ((~less_3(B)) | (v84(constB116, B) <=> v123(constB116, B)))) | ((~less_3(bitIndex0)) | (v84(constB116, bitIndex0) <=> v123(constB116, bitIndex0)))),
% 8.99/6.50 inference(quant_inst,[status(thm)],[])).
% 8.99/6.50 tff(19340,plain,
% 8.99/6.50 ((~![B: $i] : ((~less_3(B)) | (v84(constB116, B) <=> v123(constB116, B)))) | (~less_3(bitIndex0)) | (v84(constB116, bitIndex0) <=> v123(constB116, bitIndex0))),
% 8.99/6.50 inference(modus_ponens,[status(thm)],[19339, 19338])).
% 8.99/6.50 tff(19341,plain,
% 8.99/6.51 (v84(constB116, bitIndex0) <=> v123(constB116, bitIndex0)),
% 8.99/6.51 inference(unit_resolution,[status(thm)],[19340, 9772, 19293])).
% 8.99/6.51 tff(19342,plain,
% 8.99/6.51 (((~![B: $i] : ((~less_3(B)) | (v123(constB116, B) <=> v121(constB115, B)))) | ((~less_3(bitIndex0)) | (v123(constB116, bitIndex0) <=> v121(constB115, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB116, B) <=> v121(constB115, B)))) | (~less_3(bitIndex0)) | (v123(constB116, bitIndex0) <=> v121(constB115, bitIndex0)))),
% 8.99/6.51 inference(rewrite,[status(thm)],[])).
% 8.99/6.51 tff(19343,plain,
% 8.99/6.51 ((~![B: $i] : ((~less_3(B)) | (v123(constB116, B) <=> v121(constB115, B)))) | ((~less_3(bitIndex0)) | (v123(constB116, bitIndex0) <=> v121(constB115, bitIndex0)))),
% 8.99/6.51 inference(quant_inst,[status(thm)],[])).
% 8.99/6.51 tff(19344,plain,
% 8.99/6.51 ((~![B: $i] : ((~less_3(B)) | (v123(constB116, B) <=> v121(constB115, B)))) | (~less_3(bitIndex0)) | (v123(constB116, bitIndex0) <=> v121(constB115, bitIndex0))),
% 8.99/6.51 inference(modus_ponens,[status(thm)],[19343, 19342])).
% 8.99/6.51 tff(19345,plain,
% 8.99/6.51 (v123(constB116, bitIndex0) <=> v121(constB115, bitIndex0)),
% 8.99/6.51 inference(unit_resolution,[status(thm)],[19344, 9772, 19301])).
% 8.99/6.51 tff(19346,plain,
% 8.99/6.51 (((~![B: $i] : ((~less_3(B)) | (v121(constB115, B) <=> v124(constB115, B)))) | ((~less_3(bitIndex0)) | (v121(constB115, bitIndex0) <=> v124(constB115, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB115, B) <=> v124(constB115, B)))) | (~less_3(bitIndex0)) | (v121(constB115, bitIndex0) <=> v124(constB115, bitIndex0)))),
% 8.99/6.51 inference(rewrite,[status(thm)],[])).
% 8.99/6.51 tff(19347,plain,
% 8.99/6.51 ((~![B: $i] : ((~less_3(B)) | (v121(constB115, B) <=> v124(constB115, B)))) | ((~less_3(bitIndex0)) | (v121(constB115, bitIndex0) <=> v124(constB115, bitIndex0)))),
% 8.99/6.51 inference(quant_inst,[status(thm)],[])).
% 8.99/6.51 tff(19348,plain,
% 8.99/6.51 ((~![B: $i] : ((~less_3(B)) | (v121(constB115, B) <=> v124(constB115, B)))) | (~less_3(bitIndex0)) | (v121(constB115, bitIndex0) <=> v124(constB115, bitIndex0))),
% 8.99/6.51 inference(modus_ponens,[status(thm)],[19347, 19346])).
% 8.99/6.51 tff(19349,plain,
% 8.99/6.51 (v121(constB115, bitIndex0) <=> v124(constB115, bitIndex0)),
% 8.99/6.51 inference(unit_resolution,[status(thm)],[19348, 9772, 19309])).
% 8.99/6.51 tff(19350,plain,
% 8.99/6.51 (((~![B: $i] : ((~less_3(B)) | (v124(constB115, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v124(constB115, bitIndex0) <=> b100(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB115, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v124(constB115, bitIndex0) <=> b100(bitIndex0)))),
% 8.99/6.51 inference(rewrite,[status(thm)],[])).
% 8.99/6.51 tff(19351,plain,
% 8.99/6.51 ((~![B: $i] : ((~less_3(B)) | (v124(constB115, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v124(constB115, bitIndex0) <=> b100(bitIndex0)))),
% 8.99/6.51 inference(quant_inst,[status(thm)],[])).
% 8.99/6.51 tff(19352,plain,
% 8.99/6.51 ((~![B: $i] : ((~less_3(B)) | (v124(constB115, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v124(constB115, bitIndex0) <=> b100(bitIndex0))),
% 8.99/6.51 inference(modus_ponens,[status(thm)],[19351, 19350])).
% 8.99/6.51 tff(19353,plain,
% 8.99/6.51 (v124(constB115, bitIndex0) <=> b100(bitIndex0)),
% 8.99/6.51 inference(unit_resolution,[status(thm)],[19352, 9772, 19318])).
% 8.99/6.51 tff(19354,plain,
% 8.99/6.51 ((~(v124(constB115, bitIndex0) <=> b100(bitIndex0))) | (~v124(constB115, bitIndex0)) | b100(bitIndex0)),
% 8.99/6.51 inference(tautology,[status(thm)],[])).
% 8.99/6.51 tff(19355,plain,
% 8.99/6.51 ((~(v124(constB115, bitIndex0) <=> b100(bitIndex0))) | (~v124(constB115, bitIndex0))),
% 8.99/6.51 inference(unit_resolution,[status(thm)],[19354, 10551])).
% 8.99/6.51 tff(19356,plain,
% 8.99/6.51 (~v124(constB115, bitIndex0)),
% 8.99/6.51 inference(unit_resolution,[status(thm)],[19355, 19353])).
% 8.99/6.51 tff(19357,plain,
% 8.99/6.51 ((~(v121(constB115, bitIndex0) <=> v124(constB115, bitIndex0))) | (~v121(constB115, bitIndex0)) | v124(constB115, bitIndex0)),
% 8.99/6.51 inference(tautology,[status(thm)],[])).
% 8.99/6.51 tff(19358,plain,
% 8.99/6.51 (~v121(constB115, bitIndex0)),
% 8.99/6.51 inference(unit_resolution,[status(thm)],[19357, 19356, 19349])).
% 8.99/6.51 tff(19359,plain,
% 8.99/6.51 ((~(v123(constB116, bitIndex0) <=> v121(constB115, bitIndex0))) | (~v123(constB116, bitIndex0)) | v121(constB115, bitIndex0)),
% 8.99/6.51 inference(tautology,[status(thm)],[])).
% 8.99/6.51 tff(19360,plain,
% 8.99/6.51 (~v123(constB116, bitIndex0)),
% 8.99/6.51 inference(unit_resolution,[status(thm)],[19359, 19358, 19345])).
% 8.99/6.51 tff(19361,plain,
% 8.99/6.51 ((~(v84(constB116, bitIndex0) <=> v123(constB116, bitIndex0))) | (~v84(constB116, bitIndex0)) | v123(constB116, bitIndex0)),
% 8.99/6.51 inference(tautology,[status(thm)],[])).
% 8.99/6.51 tff(19362,plain,
% 8.99/6.51 (~v84(constB116, bitIndex0)),
% 8.99/6.51 inference(unit_resolution,[status(thm)],[19361, 19360, 19341])).
% 8.99/6.51 tff(19363,plain,
% 8.99/6.51 ((~(v84(constB117, bitIndex0) <=> v84(constB116, bitIndex0))) | (~v84(constB117, bitIndex0)) | v84(constB116, bitIndex0)),
% 8.99/6.51 inference(tautology,[status(thm)],[])).
% 8.99/6.51 tff(19364,plain,
% 8.99/6.51 (~v84(constB117, bitIndex0)),
% 8.99/6.51 inference(unit_resolution,[status(thm)],[19363, 19362, 19337])).
% 8.99/6.51 tff(19365,plain,
% 8.99/6.51 (((~![B: $i] : ((~less_3(B)) | (v84(constB117, B) <=> v84(constB116, B)))) | ((~less_3(bitIndex1)) | (v84(constB117, bitIndex1) <=> v84(constB116, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB117, B) <=> v84(constB116, B)))) | (~less_3(bitIndex1)) | (v84(constB117, bitIndex1) <=> v84(constB116, bitIndex1)))),
% 8.99/6.51 inference(rewrite,[status(thm)],[])).
% 8.99/6.51 tff(19366,plain,
% 8.99/6.51 ((~![B: $i] : ((~less_3(B)) | (v84(constB117, B) <=> v84(constB116, B)))) | ((~less_3(bitIndex1)) | (v84(constB117, bitIndex1) <=> v84(constB116, bitIndex1)))),
% 8.99/6.51 inference(quant_inst,[status(thm)],[])).
% 8.99/6.51 tff(19367,plain,
% 8.99/6.51 ((~![B: $i] : ((~less_3(B)) | (v84(constB117, B) <=> v84(constB116, B)))) | (~less_3(bitIndex1)) | (v84(constB117, bitIndex1) <=> v84(constB116, bitIndex1))),
% 8.99/6.51 inference(modus_ponens,[status(thm)],[19366, 19365])).
% 8.99/6.51 tff(19368,plain,
% 8.99/6.51 (v84(constB117, bitIndex1) <=> v84(constB116, bitIndex1)),
% 8.99/6.51 inference(unit_resolution,[status(thm)],[19367, 9785, 4461])).
% 8.99/6.51 tff(19369,plain,
% 8.99/6.51 (((~![B: $i] : ((~less_3(B)) | (v84(constB116, B) <=> v123(constB116, B)))) | ((~less_3(bitIndex1)) | (v84(constB116, bitIndex1) <=> v123(constB116, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB116, B) <=> v123(constB116, B)))) | (~less_3(bitIndex1)) | (v84(constB116, bitIndex1) <=> v123(constB116, bitIndex1)))),
% 8.99/6.51 inference(rewrite,[status(thm)],[])).
% 8.99/6.51 tff(19370,plain,
% 8.99/6.51 ((~![B: $i] : ((~less_3(B)) | (v84(constB116, B) <=> v123(constB116, B)))) | ((~less_3(bitIndex1)) | (v84(constB116, bitIndex1) <=> v123(constB116, bitIndex1)))),
% 8.99/6.51 inference(quant_inst,[status(thm)],[])).
% 8.99/6.51 tff(19371,plain,
% 8.99/6.51 ((~![B: $i] : ((~less_3(B)) | (v84(constB116, B) <=> v123(constB116, B)))) | (~less_3(bitIndex1)) | (v84(constB116, bitIndex1) <=> v123(constB116, bitIndex1))),
% 8.99/6.51 inference(modus_ponens,[status(thm)],[19370, 19369])).
% 8.99/6.51 tff(19372,plain,
% 8.99/6.51 (v84(constB116, bitIndex1) <=> v123(constB116, bitIndex1)),
% 8.99/6.51 inference(unit_resolution,[status(thm)],[19371, 9785, 19293])).
% 8.99/6.51 tff(19373,plain,
% 8.99/6.51 (((~![B: $i] : ((~less_3(B)) | (v123(constB116, B) <=> v121(constB115, B)))) | ((~less_3(bitIndex1)) | (v123(constB116, bitIndex1) <=> v121(constB115, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB116, B) <=> v121(constB115, B)))) | (~less_3(bitIndex1)) | (v123(constB116, bitIndex1) <=> v121(constB115, bitIndex1)))),
% 8.99/6.51 inference(rewrite,[status(thm)],[])).
% 8.99/6.51 tff(19374,plain,
% 8.99/6.51 ((~![B: $i] : ((~less_3(B)) | (v123(constB116, B) <=> v121(constB115, B)))) | ((~less_3(bitIndex1)) | (v123(constB116, bitIndex1) <=> v121(constB115, bitIndex1)))),
% 8.99/6.51 inference(quant_inst,[status(thm)],[])).
% 8.99/6.51 tff(19375,plain,
% 8.99/6.51 ((~![B: $i] : ((~less_3(B)) | (v123(constB116, B) <=> v121(constB115, B)))) | (~less_3(bitIndex1)) | (v123(constB116, bitIndex1) <=> v121(constB115, bitIndex1))),
% 8.99/6.51 inference(modus_ponens,[status(thm)],[19374, 19373])).
% 8.99/6.51 tff(19376,plain,
% 8.99/6.51 (v123(constB116, bitIndex1) <=> v121(constB115, bitIndex1)),
% 8.99/6.51 inference(unit_resolution,[status(thm)],[19375, 9785, 19301])).
% 8.99/6.51 tff(19377,plain,
% 8.99/6.51 (((~![B: $i] : ((~less_3(B)) | (v121(constB115, B) <=> v124(constB115, B)))) | ((~less_3(bitIndex1)) | (v121(constB115, bitIndex1) <=> v124(constB115, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB115, B) <=> v124(constB115, B)))) | (~less_3(bitIndex1)) | (v121(constB115, bitIndex1) <=> v124(constB115, bitIndex1)))),
% 8.99/6.51 inference(rewrite,[status(thm)],[])).
% 8.99/6.51 tff(19378,plain,
% 8.99/6.51 ((~![B: $i] : ((~less_3(B)) | (v121(constB115, B) <=> v124(constB115, B)))) | ((~less_3(bitIndex1)) | (v121(constB115, bitIndex1) <=> v124(constB115, bitIndex1)))),
% 8.99/6.51 inference(quant_inst,[status(thm)],[])).
% 8.99/6.51 tff(19379,plain,
% 8.99/6.51 ((~![B: $i] : ((~less_3(B)) | (v121(constB115, B) <=> v124(constB115, B)))) | (~less_3(bitIndex1)) | (v121(constB115, bitIndex1) <=> v124(constB115, bitIndex1))),
% 8.99/6.51 inference(modus_ponens,[status(thm)],[19378, 19377])).
% 8.99/6.51 tff(19380,plain,
% 8.99/6.51 (v121(constB115, bitIndex1) <=> v124(constB115, bitIndex1)),
% 8.99/6.51 inference(unit_resolution,[status(thm)],[19379, 9785, 19309])).
% 8.99/6.51 tff(19381,plain,
% 8.99/6.51 (((~![B: $i] : ((~less_3(B)) | (v124(constB115, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v124(constB115, bitIndex1) <=> b100(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB115, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v124(constB115, bitIndex1) <=> b100(bitIndex1)))),
% 8.99/6.51 inference(rewrite,[status(thm)],[])).
% 8.99/6.51 tff(19382,plain,
% 8.99/6.51 ((~![B: $i] : ((~less_3(B)) | (v124(constB115, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v124(constB115, bitIndex1) <=> b100(bitIndex1)))),
% 8.99/6.51 inference(quant_inst,[status(thm)],[])).
% 8.99/6.51 tff(19383,plain,
% 8.99/6.51 ((~![B: $i] : ((~less_3(B)) | (v124(constB115, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v124(constB115, bitIndex1) <=> b100(bitIndex1))),
% 8.99/6.51 inference(modus_ponens,[status(thm)],[19382, 19381])).
% 8.99/6.51 tff(19384,plain,
% 8.99/6.51 (v124(constB115, bitIndex1) <=> b100(bitIndex1)),
% 8.99/6.51 inference(unit_resolution,[status(thm)],[19383, 9785, 19318])).
% 8.99/6.51 tff(19385,plain,
% 8.99/6.51 ((~(v124(constB115, bitIndex1) <=> b100(bitIndex1))) | (~v124(constB115, bitIndex1)) | b100(bitIndex1)),
% 8.99/6.51 inference(tautology,[status(thm)],[])).
% 8.99/6.51 tff(19386,plain,
% 8.99/6.51 ((~(v124(constB115, bitIndex1) <=> b100(bitIndex1))) | (~v124(constB115, bitIndex1))),
% 8.99/6.51 inference(unit_resolution,[status(thm)],[19385, 10585])).
% 8.99/6.51 tff(19387,plain,
% 8.99/6.51 (~v124(constB115, bitIndex1)),
% 8.99/6.51 inference(unit_resolution,[status(thm)],[19386, 19384])).
% 8.99/6.51 tff(19388,plain,
% 8.99/6.51 ((~(v121(constB115, bitIndex1) <=> v124(constB115, bitIndex1))) | (~v121(constB115, bitIndex1)) | v124(constB115, bitIndex1)),
% 8.99/6.51 inference(tautology,[status(thm)],[])).
% 8.99/6.51 tff(19389,plain,
% 8.99/6.51 (~v121(constB115, bitIndex1)),
% 8.99/6.51 inference(unit_resolution,[status(thm)],[19388, 19387, 19380])).
% 8.99/6.51 tff(19390,plain,
% 8.99/6.51 ((~(v123(constB116, bitIndex1) <=> v121(constB115, bitIndex1))) | (~v123(constB116, bitIndex1)) | v121(constB115, bitIndex1)),
% 8.99/6.51 inference(tautology,[status(thm)],[])).
% 8.99/6.51 tff(19391,plain,
% 8.99/6.51 (~v123(constB116, bitIndex1)),
% 8.99/6.51 inference(unit_resolution,[status(thm)],[19390, 19389, 19376])).
% 8.99/6.51 tff(19392,plain,
% 8.99/6.51 ((~(v84(constB116, bitIndex1) <=> v123(constB116, bitIndex1))) | (~v84(constB116, bitIndex1)) | v123(constB116, bitIndex1)),
% 8.99/6.51 inference(tautology,[status(thm)],[])).
% 8.99/6.51 tff(19393,plain,
% 8.99/6.51 (~v84(constB116, bitIndex1)),
% 8.99/6.51 inference(unit_resolution,[status(thm)],[19392, 19391, 19372])).
% 8.99/6.51 tff(19394,plain,
% 8.99/6.51 ((~(v84(constB117, bitIndex1) <=> v84(constB116, bitIndex1))) | (~v84(constB117, bitIndex1)) | v84(constB116, bitIndex1)),
% 8.99/6.51 inference(tautology,[status(thm)],[])).
% 8.99/6.51 tff(19395,plain,
% 8.99/6.51 (~v84(constB117, bitIndex1)),
% 8.99/6.51 inference(unit_resolution,[status(thm)],[19394, 19393, 19368])).
% 8.99/6.51 tff(19396,plain,
% 8.99/6.51 ((~((~v84(constB117, bitIndex2)) | v84(constB117, bitIndex1) | v84(constB117, bitIndex0))) | (~v84(constB117, bitIndex2)) | v84(constB117, bitIndex1) | v84(constB117, bitIndex0)),
% 8.99/6.51 inference(tautology,[status(thm)],[])).
% 8.99/6.51 tff(19397,plain,
% 8.99/6.51 (~((~v84(constB117, bitIndex2)) | v84(constB117, bitIndex1) | v84(constB117, bitIndex0))),
% 8.99/6.51 inference(unit_resolution,[status(thm)],[19396, 19395, 19364, 19333])).
% 8.99/6.51 tff(19398,plain,
% 8.99/6.51 ((~(v117(constB117) <=> (~((~v84(constB117, bitIndex2)) | v84(constB117, bitIndex1) | v84(constB117, bitIndex0))))) | v117(constB117) | ((~v84(constB117, bitIndex2)) | v84(constB117, bitIndex1) | v84(constB117, bitIndex0))),
% 8.99/6.51 inference(tautology,[status(thm)],[])).
% 8.99/6.51 tff(19399,plain,
% 8.99/6.51 (v117(constB117)),
% 8.99/6.51 inference(unit_resolution,[status(thm)],[19398, 19397, 4433])).
% 8.99/6.51 tff(19400,plain,
% 8.99/6.51 ((v110(constB117) | v117(constB117)) | (~v117(constB117))),
% 8.99/6.51 inference(tautology,[status(thm)],[])).
% 8.99/6.51 tff(19401,plain,
% 8.99/6.51 (v110(constB117) | v117(constB117)),
% 8.99/6.51 inference(unit_resolution,[status(thm)],[19400, 19399])).
% 8.99/6.51 tff(19402,plain,
% 8.99/6.51 ((~(v109(constB117) <=> (v110(constB117) | v117(constB117)))) | v109(constB117) | (~(v110(constB117) | v117(constB117)))),
% 8.99/6.51 inference(tautology,[status(thm)],[])).
% 8.99/6.51 tff(19403,plain,
% 8.99/6.51 (v109(constB117)),
% 8.99/6.51 inference(unit_resolution,[status(thm)],[19402, 19401, 4426])).
% 8.99/6.51 tff(19404,plain,
% 8.99/6.51 ((v109(constB117) | v118(constB117)) | (~v109(constB117))),
% 8.99/6.51 inference(tautology,[status(thm)],[])).
% 8.99/6.51 tff(19405,plain,
% 8.99/6.51 (v109(constB117) | v118(constB117)),
% 8.99/6.51 inference(unit_resolution,[status(thm)],[19404, 19403])).
% 8.99/6.51 tff(19406,plain,
% 8.99/6.51 ((~(v108(constB117) <=> (v109(constB117) | v118(constB117)))) | v108(constB117) | (~(v109(constB117) | v118(constB117)))),
% 8.99/6.51 inference(tautology,[status(thm)],[])).
% 8.99/6.51 tff(19407,plain,
% 8.99/6.51 (v108(constB117)),
% 8.99/6.51 inference(unit_resolution,[status(thm)],[19406, 19405, 4424])).
% 8.99/6.51 tff(19408,plain,
% 8.99/6.51 ((v108(constB117) | v119(constB117)) | (~v108(constB117))),
% 8.99/6.51 inference(tautology,[status(thm)],[])).
% 8.99/6.51 tff(19409,plain,
% 8.99/6.51 (v108(constB117) | v119(constB117)),
% 8.99/6.51 inference(unit_resolution,[status(thm)],[19408, 19407])).
% 8.99/6.51 tff(19410,plain,
% 8.99/6.51 ((~(v107(constB117) <=> (v108(constB117) | v119(constB117)))) | v107(constB117) | (~(v108(constB117) | v119(constB117)))),
% 8.99/6.51 inference(tautology,[status(thm)],[])).
% 8.99/6.51 tff(19411,plain,
% 8.99/6.51 (v107(constB117)),
% 8.99/6.51 inference(unit_resolution,[status(thm)],[19410, 19409, 4422])).
% 8.99/6.51 tff(19412,plain,
% 8.99/6.51 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB117)) <=> v105(constB117))),
% 8.99/6.51 inference(quant_inst,[status(thm)],[])).
% 8.99/6.51 tff(19413,plain,
% 8.99/6.51 ((~v120(constB117)) <=> v105(constB117)),
% 8.99/6.51 inference(unit_resolution,[status(thm)],[19412, 9842])).
% 8.99/6.51 tff(19414,plain,
% 8.99/6.51 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB117) <=> v26(constB117))),
% 8.99/6.51 inference(quant_inst,[status(thm)],[])).
% 8.99/6.51 tff(19415,plain,
% 8.99/6.51 (v105(constB117) <=> v26(constB117)),
% 8.99/6.51 inference(unit_resolution,[status(thm)],[19414, 9854])).
% 8.99/6.51 tff(19416,plain,
% 8.99/6.51 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB117))),
% 8.99/6.51 inference(quant_inst,[status(thm)],[])).
% 8.99/6.51 tff(19417,plain,
% 8.99/6.51 (~v26(constB117)),
% 8.99/6.51 inference(unit_resolution,[status(thm)],[19416, 9866])).
% 8.99/6.51 tff(19418,plain,
% 8.99/6.51 ((~(v105(constB117) <=> v26(constB117))) | (~v105(constB117)) | v26(constB117)),
% 8.99/6.51 inference(tautology,[status(thm)],[])).
% 8.99/6.51 tff(19419,plain,
% 8.99/6.51 ((~(v105(constB117) <=> v26(constB117))) | (~v105(constB117))),
% 8.99/6.51 inference(unit_resolution,[status(thm)],[19418, 19417])).
% 8.99/6.51 tff(19420,plain,
% 8.99/6.51 (~v105(constB117)),
% 8.99/6.51 inference(unit_resolution,[status(thm)],[19419, 19415])).
% 8.99/6.51 tff(19421,plain,
% 8.99/6.51 ((~((~v120(constB117)) <=> v105(constB117))) | v120(constB117) | v105(constB117)),
% 8.99/6.51 inference(tautology,[status(thm)],[])).
% 8.99/6.51 tff(19422,plain,
% 8.99/6.51 ((~((~v120(constB117)) <=> v105(constB117))) | v120(constB117)),
% 8.99/6.51 inference(unit_resolution,[status(thm)],[19421, 19420])).
% 8.99/6.51 tff(19423,plain,
% 8.99/6.51 (v120(constB117)),
% 8.99/6.51 inference(unit_resolution,[status(thm)],[19422, 19413])).
% 8.99/6.51 tff(19424,plain,
% 8.99/6.51 ((~((~v107(constB117)) | (~v120(constB117)))) | (~v107(constB117)) | (~v120(constB117))),
% 8.99/6.51 inference(tautology,[status(thm)],[])).
% 8.99/6.51 tff(19425,plain,
% 8.99/6.51 ((~((~v107(constB117)) | (~v120(constB117)))) | (~v107(constB117))),
% 8.99/6.51 inference(unit_resolution,[status(thm)],[19424, 19423])).
% 8.99/6.51 tff(19426,plain,
% 8.99/6.51 (~((~v107(constB117)) | (~v120(constB117)))),
% 8.99/6.51 inference(unit_resolution,[status(thm)],[19425, 19411])).
% 8.99/6.51 tff(19427,plain,
% 8.99/6.51 ((~(v106(constB117) <=> (~((~v107(constB117)) | (~v120(constB117)))))) | v106(constB117) | ((~v107(constB117)) | (~v120(constB117)))),
% 8.99/6.51 inference(tautology,[status(thm)],[])).
% 8.99/6.51 tff(19428,plain,
% 8.99/6.51 (v106(constB117)),
% 8.99/6.51 inference(unit_resolution,[status(thm)],[19427, 19426, 4420])).
% 8.99/6.51 tff(19429,plain,
% 8.99/6.51 ((v105(constB117) | v106(constB117)) | (~v106(constB117))),
% 8.99/6.51 inference(tautology,[status(thm)],[])).
% 8.99/6.51 tff(19430,plain,
% 8.99/6.51 (v105(constB117) | v106(constB117)),
% 8.99/6.51 inference(unit_resolution,[status(thm)],[19429, 19428])).
% 8.99/6.51 tff(19431,plain,
% 8.99/6.51 ((~(v102(constB117) <=> (v105(constB117) | v106(constB117)))) | v102(constB117) | (~(v105(constB117) | v106(constB117)))),
% 8.99/6.51 inference(tautology,[status(thm)],[])).
% 8.99/6.51 tff(19432,plain,
% 8.99/6.51 (v102(constB117)),
% 8.99/6.51 inference(unit_resolution,[status(thm)],[19431, 19430, 4418])).
% 8.99/6.51 tff(19433,plain,
% 8.99/6.51 ((~(v104(constB118) <=> v102(constB117))) | v104(constB118) | (~v102(constB117))),
% 8.99/6.51 inference(tautology,[status(thm)],[])).
% 8.99/6.51 tff(19434,plain,
% 8.99/6.51 (v104(constB118)),
% 8.99/6.51 inference(unit_resolution,[status(thm)],[19433, 19432, 4416])).
% 8.99/6.51 tff(19435,plain,
% 8.99/6.51 ((~((~v104(constB118)) | (~v95(constB118)))) | (~v104(constB118)) | (~v95(constB118))),
% 8.99/6.51 inference(tautology,[status(thm)],[])).
% 8.99/6.51 tff(19436,plain,
% 8.99/6.51 (~((~v104(constB118)) | (~v95(constB118)))),
% 8.99/6.51 inference(unit_resolution,[status(thm)],[19435, 19434, 4412])).
% 8.99/6.51 tff(19437,plain,
% 8.99/6.51 ((~(v94(constB118) <=> (~((~v104(constB118)) | (~v95(constB118)))))) | v94(constB118) | ((~v104(constB118)) | (~v95(constB118)))),
% 8.99/6.51 inference(tautology,[status(thm)],[])).
% 8.99/6.51 tff(19438,plain,
% 8.99/6.51 (v94(constB118)),
% 8.99/6.51 inference(unit_resolution,[status(thm)],[19437, 19436, 4381])).
% 8.99/6.51 tff(19439,plain,
% 8.99/6.51 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB118)) | ![B: $i] : ((~less_3(B)) | (v84(constB118, B) <=> v123(constB118, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB118)) | ![B: $i] : ((~less_3(B)) | (v84(constB118, B) <=> v123(constB118, B))))),
% 8.99/6.51 inference(rewrite,[status(thm)],[])).
% 8.99/6.51 tff(19440,plain,
% 8.99/6.51 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB118)) | ![B: $i] : ((~less_3(B)) | (v84(constB118, B) <=> v123(constB118, B))))),
% 8.99/6.51 inference(quant_inst,[status(thm)],[])).
% 8.99/6.51 tff(19441,plain,
% 8.99/6.51 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB118)) | ![B: $i] : ((~less_3(B)) | (v84(constB118, B) <=> v123(constB118, B)))),
% 8.99/6.51 inference(modus_ponens,[status(thm)],[19440, 19439])).
% 8.99/6.51 tff(19442,plain,
% 8.99/6.51 ((~v94(constB118)) | ![B: $i] : ((~less_3(B)) | (v84(constB118, B) <=> v123(constB118, B)))),
% 8.99/6.51 inference(unit_resolution,[status(thm)],[19441, 9902])).
% 8.99/6.51 tff(19443,plain,
% 8.99/6.51 (![B: $i] : ((~less_3(B)) | (v84(constB118, B) <=> v123(constB118, B)))),
% 8.99/6.51 inference(unit_resolution,[status(thm)],[19442, 19438])).
% 8.99/6.51 tff(19444,plain,
% 8.99/6.51 (((~![B: $i] : ((~less_3(B)) | (v84(constB118, B) <=> v123(constB118, B)))) | ((~less_3(bitIndex2)) | (v84(constB118, bitIndex2) <=> v123(constB118, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB118, B) <=> v123(constB118, B)))) | (~less_3(bitIndex2)) | (v84(constB118, bitIndex2) <=> v123(constB118, bitIndex2)))),
% 8.99/6.51 inference(rewrite,[status(thm)],[])).
% 8.99/6.51 tff(19445,plain,
% 8.99/6.51 ((~![B: $i] : ((~less_3(B)) | (v84(constB118, B) <=> v123(constB118, B)))) | ((~less_3(bitIndex2)) | (v84(constB118, bitIndex2) <=> v123(constB118, bitIndex2)))),
% 8.99/6.51 inference(quant_inst,[status(thm)],[])).
% 8.99/6.51 tff(19446,plain,
% 8.99/6.51 ((~![B: $i] : ((~less_3(B)) | (v84(constB118, B) <=> v123(constB118, B)))) | (~less_3(bitIndex2)) | (v84(constB118, bitIndex2) <=> v123(constB118, bitIndex2))),
% 8.99/6.51 inference(modus_ponens,[status(thm)],[19445, 19444])).
% 8.99/6.51 tff(19447,plain,
% 8.99/6.51 (v84(constB118, bitIndex2) <=> v123(constB118, bitIndex2)),
% 8.99/6.51 inference(unit_resolution,[status(thm)],[19446, 832, 19443])).
% 8.99/6.51 tff(19448,plain,
% 8.99/6.51 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB117, constB118)) | ![B: $i] : ((~less_3(B)) | (v123(constB118, B) <=> v121(constB117, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB117, constB118)) | ![B: $i] : ((~less_3(B)) | (v123(constB118, B) <=> v121(constB117, B))))),
% 8.99/6.51 inference(rewrite,[status(thm)],[])).
% 8.99/6.51 tff(19449,plain,
% 8.99/6.51 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB117, constB118)) | ![B: $i] : ((~less_3(B)) | (v123(constB118, B) <=> v121(constB117, B))))),
% 8.99/6.51 inference(quant_inst,[status(thm)],[])).
% 8.99/6.51 tff(19450,plain,
% 8.99/6.51 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB117, constB118)) | ![B: $i] : ((~less_3(B)) | (v123(constB118, B) <=> v121(constB117, B)))),
% 8.99/6.51 inference(modus_ponens,[status(thm)],[19449, 19448])).
% 8.99/6.51 tff(19451,plain,
% 8.99/6.51 (![B: $i] : ((~less_3(B)) | (v123(constB118, B) <=> v121(constB117, B)))),
% 8.99/6.51 inference(unit_resolution,[status(thm)],[19450, 4377, 9924])).
% 8.99/6.51 tff(19452,plain,
% 8.99/6.51 (((~![B: $i] : ((~less_3(B)) | (v123(constB118, B) <=> v121(constB117, B)))) | ((~less_3(bitIndex2)) | (v123(constB118, bitIndex2) <=> v121(constB117, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB118, B) <=> v121(constB117, B)))) | (~less_3(bitIndex2)) | (v123(constB118, bitIndex2) <=> v121(constB117, bitIndex2)))),
% 8.99/6.51 inference(rewrite,[status(thm)],[])).
% 8.99/6.51 tff(19453,plain,
% 8.99/6.51 ((~![B: $i] : ((~less_3(B)) | (v123(constB118, B) <=> v121(constB117, B)))) | ((~less_3(bitIndex2)) | (v123(constB118, bitIndex2) <=> v121(constB117, bitIndex2)))),
% 8.99/6.51 inference(quant_inst,[status(thm)],[])).
% 8.99/6.51 tff(19454,plain,
% 8.99/6.51 ((~![B: $i] : ((~less_3(B)) | (v123(constB118, B) <=> v121(constB117, B)))) | (~less_3(bitIndex2)) | (v123(constB118, bitIndex2) <=> v121(constB117, bitIndex2))),
% 8.99/6.51 inference(modus_ponens,[status(thm)],[19453, 19452])).
% 8.99/6.51 tff(19455,plain,
% 8.99/6.51 (v123(constB118, bitIndex2) <=> v121(constB117, bitIndex2)),
% 8.99/6.51 inference(unit_resolution,[status(thm)],[19454, 832, 19451])).
% 8.99/6.51 tff(19456,plain,
% 8.99/6.51 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB117) | ![B: $i] : ((~less_3(B)) | (v121(constB117, B) <=> v124(constB117, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB117) | ![B: $i] : ((~less_3(B)) | (v121(constB117, B) <=> v124(constB117, B))))),
% 8.99/6.51 inference(rewrite,[status(thm)],[])).
% 8.99/6.51 tff(19457,plain,
% 8.99/6.51 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB117) | ![B: $i] : ((~less_3(B)) | (v121(constB117, B) <=> v124(constB117, B))))),
% 8.99/6.51 inference(quant_inst,[status(thm)],[])).
% 8.99/6.51 tff(19458,plain,
% 8.99/6.51 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB117) | ![B: $i] : ((~less_3(B)) | (v121(constB117, B) <=> v124(constB117, B)))),
% 8.99/6.51 inference(modus_ponens,[status(thm)],[19457, 19456])).
% 8.99/6.51 tff(19459,plain,
% 8.99/6.51 (![B: $i] : ((~less_3(B)) | (v121(constB117, B) <=> v124(constB117, B)))),
% 8.99/6.51 inference(unit_resolution,[status(thm)],[19458, 9945, 19420])).
% 8.99/6.51 tff(19460,plain,
% 8.99/6.51 (((~![B: $i] : ((~less_3(B)) | (v121(constB117, B) <=> v124(constB117, B)))) | ((~less_3(bitIndex2)) | (v121(constB117, bitIndex2) <=> v124(constB117, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB117, B) <=> v124(constB117, B)))) | (~less_3(bitIndex2)) | (v121(constB117, bitIndex2) <=> v124(constB117, bitIndex2)))),
% 8.99/6.51 inference(rewrite,[status(thm)],[])).
% 8.99/6.51 tff(19461,plain,
% 8.99/6.51 ((~![B: $i] : ((~less_3(B)) | (v121(constB117, B) <=> v124(constB117, B)))) | ((~less_3(bitIndex2)) | (v121(constB117, bitIndex2) <=> v124(constB117, bitIndex2)))),
% 8.99/6.51 inference(quant_inst,[status(thm)],[])).
% 8.99/6.51 tff(19462,plain,
% 8.99/6.51 ((~![B: $i] : ((~less_3(B)) | (v121(constB117, B) <=> v124(constB117, B)))) | (~less_3(bitIndex2)) | (v121(constB117, bitIndex2) <=> v124(constB117, bitIndex2))),
% 8.99/6.51 inference(modus_ponens,[status(thm)],[19461, 19460])).
% 8.99/6.51 tff(19463,plain,
% 8.99/6.51 (v121(constB117, bitIndex2) <=> v124(constB117, bitIndex2)),
% 8.99/6.51 inference(unit_resolution,[status(thm)],[19462, 832, 19459])).
% 8.99/6.51 tff(19464,plain,
% 8.99/6.51 (((~![VarCurr: $i] : ((~v117(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b101(B))))) | ((~v117(constB117)) | ![B: $i] : ((~less_3(B)) | (v124(constB117, B) <=> b101(B))))) <=> ((~![VarCurr: $i] : ((~v117(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b101(B))))) | (~v117(constB117)) | ![B: $i] : ((~less_3(B)) | (v124(constB117, B) <=> b101(B))))),
% 8.99/6.51 inference(rewrite,[status(thm)],[])).
% 8.99/6.51 tff(19465,plain,
% 8.99/6.51 ((~![VarCurr: $i] : ((~v117(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b101(B))))) | ((~v117(constB117)) | ![B: $i] : ((~less_3(B)) | (v124(constB117, B) <=> b101(B))))),
% 8.99/6.51 inference(quant_inst,[status(thm)],[])).
% 8.99/6.51 tff(19466,plain,
% 8.99/6.51 ((~![VarCurr: $i] : ((~v117(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b101(B))))) | (~v117(constB117)) | ![B: $i] : ((~less_3(B)) | (v124(constB117, B) <=> b101(B)))),
% 8.99/6.51 inference(modus_ponens,[status(thm)],[19465, 19464])).
% 8.99/6.51 tff(19467,plain,
% 8.99/6.51 ((~v117(constB117)) | ![B: $i] : ((~less_3(B)) | (v124(constB117, B) <=> b101(B)))),
% 8.99/6.51 inference(unit_resolution,[status(thm)],[19466, 10677])).
% 8.99/6.51 tff(19468,plain,
% 8.99/6.51 (![B: $i] : ((~less_3(B)) | (v124(constB117, B) <=> b101(B)))),
% 8.99/6.51 inference(unit_resolution,[status(thm)],[19467, 19399])).
% 8.99/6.51 tff(19469,plain,
% 8.99/6.51 (((~![B: $i] : ((~less_3(B)) | (v124(constB117, B) <=> b101(B)))) | ((~less_3(bitIndex2)) | (v124(constB117, bitIndex2) <=> b101(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB117, B) <=> b101(B)))) | (~less_3(bitIndex2)) | (v124(constB117, bitIndex2) <=> b101(bitIndex2)))),
% 8.99/6.51 inference(rewrite,[status(thm)],[])).
% 8.99/6.51 tff(19470,plain,
% 8.99/6.51 ((~![B: $i] : ((~less_3(B)) | (v124(constB117, B) <=> b101(B)))) | ((~less_3(bitIndex2)) | (v124(constB117, bitIndex2) <=> b101(bitIndex2)))),
% 8.99/6.51 inference(quant_inst,[status(thm)],[])).
% 8.99/6.51 tff(19471,plain,
% 8.99/6.51 ((~![B: $i] : ((~less_3(B)) | (v124(constB117, B) <=> b101(B)))) | (~less_3(bitIndex2)) | (v124(constB117, bitIndex2) <=> b101(bitIndex2))),
% 8.99/6.51 inference(modus_ponens,[status(thm)],[19470, 19469])).
% 8.99/6.51 tff(19472,plain,
% 8.99/6.51 (v124(constB117, bitIndex2) <=> b101(bitIndex2)),
% 8.99/6.51 inference(unit_resolution,[status(thm)],[19471, 832, 19468])).
% 8.99/6.51 tff(19473,plain,
% 8.99/6.51 ((~(v124(constB117, bitIndex2) <=> b101(bitIndex2))) | v124(constB117, bitIndex2) | (~b101(bitIndex2))),
% 8.99/6.51 inference(tautology,[status(thm)],[])).
% 8.99/6.51 tff(19474,plain,
% 8.99/6.51 ((~(v124(constB117, bitIndex2) <=> b101(bitIndex2))) | v124(constB117, bitIndex2)),
% 8.99/6.51 inference(unit_resolution,[status(thm)],[19473, 10689])).
% 8.99/6.51 tff(19475,plain,
% 8.99/6.51 (v124(constB117, bitIndex2)),
% 8.99/6.51 inference(unit_resolution,[status(thm)],[19474, 19472])).
% 8.99/6.51 tff(19476,plain,
% 8.99/6.51 ((~(v121(constB117, bitIndex2) <=> v124(constB117, bitIndex2))) | v121(constB117, bitIndex2) | (~v124(constB117, bitIndex2))),
% 8.99/6.51 inference(tautology,[status(thm)],[])).
% 8.99/6.51 tff(19477,plain,
% 8.99/6.51 (v121(constB117, bitIndex2)),
% 8.99/6.51 inference(unit_resolution,[status(thm)],[19476, 19475, 19463])).
% 8.99/6.51 tff(19478,plain,
% 8.99/6.51 ((~(v123(constB118, bitIndex2) <=> v121(constB117, bitIndex2))) | v123(constB118, bitIndex2) | (~v121(constB117, bitIndex2))),
% 8.99/6.51 inference(tautology,[status(thm)],[])).
% 8.99/6.51 tff(19479,plain,
% 8.99/6.51 (v123(constB118, bitIndex2)),
% 8.99/6.51 inference(unit_resolution,[status(thm)],[19478, 19477, 19455])).
% 8.99/6.51 tff(19480,plain,
% 8.99/6.51 ((~(v84(constB118, bitIndex2) <=> v123(constB118, bitIndex2))) | v84(constB118, bitIndex2) | (~v123(constB118, bitIndex2))),
% 8.99/6.51 inference(tautology,[status(thm)],[])).
% 8.99/6.51 tff(19481,plain,
% 8.99/6.51 (v84(constB118, bitIndex2)),
% 8.99/6.51 inference(unit_resolution,[status(thm)],[19480, 19479, 19447])).
% 8.99/6.51 tff(19482,plain,
% 8.99/6.51 ((~(v84(constB119, bitIndex2) <=> v84(constB118, bitIndex2))) | v84(constB119, bitIndex2) | (~v84(constB118, bitIndex2))),
% 8.99/6.51 inference(tautology,[status(thm)],[])).
% 8.99/6.51 tff(19483,plain,
% 8.99/6.51 (v84(constB119, bitIndex2)),
% 8.99/6.51 inference(unit_resolution,[status(thm)],[19482, 19481, 4374])).
% 8.99/6.51 tff(19484,plain,
% 8.99/6.51 (((~![B: $i] : ((~less_3(B)) | (v84(constB119, B) <=> v84(constB118, B)))) | ((~less_3(bitIndex0)) | (v84(constB119, bitIndex0) <=> v84(constB118, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB119, B) <=> v84(constB118, B)))) | (~less_3(bitIndex0)) | (v84(constB119, bitIndex0) <=> v84(constB118, bitIndex0)))),
% 8.99/6.51 inference(rewrite,[status(thm)],[])).
% 8.99/6.51 tff(19485,plain,
% 8.99/6.51 ((~![B: $i] : ((~less_3(B)) | (v84(constB119, B) <=> v84(constB118, B)))) | ((~less_3(bitIndex0)) | (v84(constB119, bitIndex0) <=> v84(constB118, bitIndex0)))),
% 8.99/6.51 inference(quant_inst,[status(thm)],[])).
% 8.99/6.51 tff(19486,plain,
% 8.99/6.51 ((~![B: $i] : ((~less_3(B)) | (v84(constB119, B) <=> v84(constB118, B)))) | (~less_3(bitIndex0)) | (v84(constB119, bitIndex0) <=> v84(constB118, bitIndex0))),
% 8.99/6.51 inference(modus_ponens,[status(thm)],[19485, 19484])).
% 8.99/6.51 tff(19487,plain,
% 8.99/6.51 (v84(constB119, bitIndex0) <=> v84(constB118, bitIndex0)),
% 8.99/6.51 inference(unit_resolution,[status(thm)],[19486, 9772, 4370])).
% 8.99/6.51 tff(19488,plain,
% 8.99/6.51 (((~![B: $i] : ((~less_3(B)) | (v84(constB118, B) <=> v123(constB118, B)))) | ((~less_3(bitIndex0)) | (v84(constB118, bitIndex0) <=> v123(constB118, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB118, B) <=> v123(constB118, B)))) | (~less_3(bitIndex0)) | (v84(constB118, bitIndex0) <=> v123(constB118, bitIndex0)))),
% 8.99/6.51 inference(rewrite,[status(thm)],[])).
% 8.99/6.51 tff(19489,plain,
% 8.99/6.51 ((~![B: $i] : ((~less_3(B)) | (v84(constB118, B) <=> v123(constB118, B)))) | ((~less_3(bitIndex0)) | (v84(constB118, bitIndex0) <=> v123(constB118, bitIndex0)))),
% 8.99/6.51 inference(quant_inst,[status(thm)],[])).
% 8.99/6.51 tff(19490,plain,
% 8.99/6.51 ((~![B: $i] : ((~less_3(B)) | (v84(constB118, B) <=> v123(constB118, B)))) | (~less_3(bitIndex0)) | (v84(constB118, bitIndex0) <=> v123(constB118, bitIndex0))),
% 8.99/6.51 inference(modus_ponens,[status(thm)],[19489, 19488])).
% 8.99/6.51 tff(19491,plain,
% 8.99/6.51 (v84(constB118, bitIndex0) <=> v123(constB118, bitIndex0)),
% 8.99/6.51 inference(unit_resolution,[status(thm)],[19490, 9772, 19443])).
% 8.99/6.51 tff(19492,plain,
% 8.99/6.51 (((~![B: $i] : ((~less_3(B)) | (v123(constB118, B) <=> v121(constB117, B)))) | ((~less_3(bitIndex0)) | (v123(constB118, bitIndex0) <=> v121(constB117, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB118, B) <=> v121(constB117, B)))) | (~less_3(bitIndex0)) | (v123(constB118, bitIndex0) <=> v121(constB117, bitIndex0)))),
% 8.99/6.51 inference(rewrite,[status(thm)],[])).
% 8.99/6.51 tff(19493,plain,
% 8.99/6.51 ((~![B: $i] : ((~less_3(B)) | (v123(constB118, B) <=> v121(constB117, B)))) | ((~less_3(bitIndex0)) | (v123(constB118, bitIndex0) <=> v121(constB117, bitIndex0)))),
% 8.99/6.51 inference(quant_inst,[status(thm)],[])).
% 8.99/6.51 tff(19494,plain,
% 8.99/6.51 ((~![B: $i] : ((~less_3(B)) | (v123(constB118, B) <=> v121(constB117, B)))) | (~less_3(bitIndex0)) | (v123(constB118, bitIndex0) <=> v121(constB117, bitIndex0))),
% 8.99/6.51 inference(modus_ponens,[status(thm)],[19493, 19492])).
% 8.99/6.51 tff(19495,plain,
% 8.99/6.51 (v123(constB118, bitIndex0) <=> v121(constB117, bitIndex0)),
% 8.99/6.51 inference(unit_resolution,[status(thm)],[19494, 9772, 19451])).
% 8.99/6.51 tff(19496,plain,
% 8.99/6.51 (((~![B: $i] : ((~less_3(B)) | (v121(constB117, B) <=> v124(constB117, B)))) | ((~less_3(bitIndex0)) | (v121(constB117, bitIndex0) <=> v124(constB117, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB117, B) <=> v124(constB117, B)))) | (~less_3(bitIndex0)) | (v121(constB117, bitIndex0) <=> v124(constB117, bitIndex0)))),
% 8.99/6.51 inference(rewrite,[status(thm)],[])).
% 8.99/6.51 tff(19497,plain,
% 8.99/6.51 ((~![B: $i] : ((~less_3(B)) | (v121(constB117, B) <=> v124(constB117, B)))) | ((~less_3(bitIndex0)) | (v121(constB117, bitIndex0) <=> v124(constB117, bitIndex0)))),
% 8.99/6.51 inference(quant_inst,[status(thm)],[])).
% 8.99/6.51 tff(19498,plain,
% 8.99/6.51 ((~![B: $i] : ((~less_3(B)) | (v121(constB117, B) <=> v124(constB117, B)))) | (~less_3(bitIndex0)) | (v121(constB117, bitIndex0) <=> v124(constB117, bitIndex0))),
% 8.99/6.51 inference(modus_ponens,[status(thm)],[19497, 19496])).
% 8.99/6.51 tff(19499,plain,
% 8.99/6.51 (v121(constB117, bitIndex0) <=> v124(constB117, bitIndex0)),
% 8.99/6.51 inference(unit_resolution,[status(thm)],[19498, 9772, 19459])).
% 8.99/6.51 tff(19500,plain,
% 8.99/6.51 (((~![B: $i] : ((~less_3(B)) | (v124(constB117, B) <=> b101(B)))) | ((~less_3(bitIndex0)) | (v124(constB117, bitIndex0) <=> b101(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB117, B) <=> b101(B)))) | (~less_3(bitIndex0)) | (v124(constB117, bitIndex0) <=> b101(bitIndex0)))),
% 8.99/6.52 inference(rewrite,[status(thm)],[])).
% 8.99/6.52 tff(19501,plain,
% 8.99/6.52 ((~![B: $i] : ((~less_3(B)) | (v124(constB117, B) <=> b101(B)))) | ((~less_3(bitIndex0)) | (v124(constB117, bitIndex0) <=> b101(bitIndex0)))),
% 8.99/6.52 inference(quant_inst,[status(thm)],[])).
% 8.99/6.52 tff(19502,plain,
% 8.99/6.52 ((~![B: $i] : ((~less_3(B)) | (v124(constB117, B) <=> b101(B)))) | (~less_3(bitIndex0)) | (v124(constB117, bitIndex0) <=> b101(bitIndex0))),
% 8.99/6.52 inference(modus_ponens,[status(thm)],[19501, 19500])).
% 8.99/6.52 tff(19503,plain,
% 8.99/6.52 (v124(constB117, bitIndex0) <=> b101(bitIndex0)),
% 8.99/6.52 inference(unit_resolution,[status(thm)],[19502, 9772, 19468])).
% 8.99/6.52 tff(19504,plain,
% 8.99/6.52 ((~(v124(constB117, bitIndex0) <=> b101(bitIndex0))) | v124(constB117, bitIndex0) | (~b101(bitIndex0))),
% 8.99/6.52 inference(tautology,[status(thm)],[])).
% 8.99/6.52 tff(19505,plain,
% 8.99/6.52 ((~(v124(constB117, bitIndex0) <=> b101(bitIndex0))) | v124(constB117, bitIndex0)),
% 8.99/6.52 inference(unit_resolution,[status(thm)],[19504, 10723])).
% 8.99/6.52 tff(19506,plain,
% 8.99/6.52 (v124(constB117, bitIndex0)),
% 8.99/6.52 inference(unit_resolution,[status(thm)],[19505, 19503])).
% 8.99/6.52 tff(19507,plain,
% 8.99/6.52 ((~(v121(constB117, bitIndex0) <=> v124(constB117, bitIndex0))) | v121(constB117, bitIndex0) | (~v124(constB117, bitIndex0))),
% 8.99/6.52 inference(tautology,[status(thm)],[])).
% 8.99/6.52 tff(19508,plain,
% 8.99/6.52 (v121(constB117, bitIndex0)),
% 8.99/6.52 inference(unit_resolution,[status(thm)],[19507, 19506, 19499])).
% 8.99/6.52 tff(19509,plain,
% 8.99/6.52 ((~(v123(constB118, bitIndex0) <=> v121(constB117, bitIndex0))) | v123(constB118, bitIndex0) | (~v121(constB117, bitIndex0))),
% 8.99/6.52 inference(tautology,[status(thm)],[])).
% 8.99/6.52 tff(19510,plain,
% 8.99/6.52 (v123(constB118, bitIndex0)),
% 8.99/6.52 inference(unit_resolution,[status(thm)],[19509, 19508, 19495])).
% 8.99/6.52 tff(19511,plain,
% 8.99/6.52 ((~(v84(constB118, bitIndex0) <=> v123(constB118, bitIndex0))) | v84(constB118, bitIndex0) | (~v123(constB118, bitIndex0))),
% 8.99/6.52 inference(tautology,[status(thm)],[])).
% 8.99/6.52 tff(19512,plain,
% 8.99/6.52 (v84(constB118, bitIndex0)),
% 8.99/6.52 inference(unit_resolution,[status(thm)],[19511, 19510, 19491])).
% 8.99/6.52 tff(19513,plain,
% 8.99/6.52 ((~(v84(constB119, bitIndex0) <=> v84(constB118, bitIndex0))) | v84(constB119, bitIndex0) | (~v84(constB118, bitIndex0))),
% 8.99/6.52 inference(tautology,[status(thm)],[])).
% 8.99/6.52 tff(19514,plain,
% 8.99/6.52 (v84(constB119, bitIndex0)),
% 8.99/6.52 inference(unit_resolution,[status(thm)],[19513, 19512, 19487])).
% 8.99/6.52 tff(19515,plain,
% 8.99/6.52 (((~![B: $i] : ((~less_3(B)) | (v84(constB119, B) <=> v84(constB118, B)))) | ((~less_3(bitIndex1)) | (v84(constB119, bitIndex1) <=> v84(constB118, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB119, B) <=> v84(constB118, B)))) | (~less_3(bitIndex1)) | (v84(constB119, bitIndex1) <=> v84(constB118, bitIndex1)))),
% 8.99/6.52 inference(rewrite,[status(thm)],[])).
% 8.99/6.52 tff(19516,plain,
% 8.99/6.52 ((~![B: $i] : ((~less_3(B)) | (v84(constB119, B) <=> v84(constB118, B)))) | ((~less_3(bitIndex1)) | (v84(constB119, bitIndex1) <=> v84(constB118, bitIndex1)))),
% 8.99/6.52 inference(quant_inst,[status(thm)],[])).
% 8.99/6.52 tff(19517,plain,
% 8.99/6.52 ((~![B: $i] : ((~less_3(B)) | (v84(constB119, B) <=> v84(constB118, B)))) | (~less_3(bitIndex1)) | (v84(constB119, bitIndex1) <=> v84(constB118, bitIndex1))),
% 8.99/6.52 inference(modus_ponens,[status(thm)],[19516, 19515])).
% 8.99/6.52 tff(19518,plain,
% 8.99/6.52 (v84(constB119, bitIndex1) <=> v84(constB118, bitIndex1)),
% 8.99/6.52 inference(unit_resolution,[status(thm)],[19517, 9785, 4370])).
% 8.99/6.52 tff(19519,plain,
% 8.99/6.52 (((~![B: $i] : ((~less_3(B)) | (v84(constB118, B) <=> v123(constB118, B)))) | ((~less_3(bitIndex1)) | (v84(constB118, bitIndex1) <=> v123(constB118, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB118, B) <=> v123(constB118, B)))) | (~less_3(bitIndex1)) | (v84(constB118, bitIndex1) <=> v123(constB118, bitIndex1)))),
% 8.99/6.52 inference(rewrite,[status(thm)],[])).
% 8.99/6.52 tff(19520,plain,
% 8.99/6.52 ((~![B: $i] : ((~less_3(B)) | (v84(constB118, B) <=> v123(constB118, B)))) | ((~less_3(bitIndex1)) | (v84(constB118, bitIndex1) <=> v123(constB118, bitIndex1)))),
% 8.99/6.52 inference(quant_inst,[status(thm)],[])).
% 8.99/6.52 tff(19521,plain,
% 8.99/6.52 ((~![B: $i] : ((~less_3(B)) | (v84(constB118, B) <=> v123(constB118, B)))) | (~less_3(bitIndex1)) | (v84(constB118, bitIndex1) <=> v123(constB118, bitIndex1))),
% 8.99/6.52 inference(modus_ponens,[status(thm)],[19520, 19519])).
% 8.99/6.52 tff(19522,plain,
% 8.99/6.52 (v84(constB118, bitIndex1) <=> v123(constB118, bitIndex1)),
% 8.99/6.52 inference(unit_resolution,[status(thm)],[19521, 9785, 19443])).
% 8.99/6.52 tff(19523,plain,
% 8.99/6.52 (((~![B: $i] : ((~less_3(B)) | (v123(constB118, B) <=> v121(constB117, B)))) | ((~less_3(bitIndex1)) | (v123(constB118, bitIndex1) <=> v121(constB117, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB118, B) <=> v121(constB117, B)))) | (~less_3(bitIndex1)) | (v123(constB118, bitIndex1) <=> v121(constB117, bitIndex1)))),
% 8.99/6.52 inference(rewrite,[status(thm)],[])).
% 8.99/6.52 tff(19524,plain,
% 8.99/6.52 ((~![B: $i] : ((~less_3(B)) | (v123(constB118, B) <=> v121(constB117, B)))) | ((~less_3(bitIndex1)) | (v123(constB118, bitIndex1) <=> v121(constB117, bitIndex1)))),
% 8.99/6.52 inference(quant_inst,[status(thm)],[])).
% 8.99/6.52 tff(19525,plain,
% 8.99/6.52 ((~![B: $i] : ((~less_3(B)) | (v123(constB118, B) <=> v121(constB117, B)))) | (~less_3(bitIndex1)) | (v123(constB118, bitIndex1) <=> v121(constB117, bitIndex1))),
% 8.99/6.52 inference(modus_ponens,[status(thm)],[19524, 19523])).
% 8.99/6.52 tff(19526,plain,
% 8.99/6.52 (v123(constB118, bitIndex1) <=> v121(constB117, bitIndex1)),
% 8.99/6.52 inference(unit_resolution,[status(thm)],[19525, 9785, 19451])).
% 8.99/6.52 tff(19527,plain,
% 8.99/6.52 (((~![B: $i] : ((~less_3(B)) | (v121(constB117, B) <=> v124(constB117, B)))) | ((~less_3(bitIndex1)) | (v121(constB117, bitIndex1) <=> v124(constB117, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB117, B) <=> v124(constB117, B)))) | (~less_3(bitIndex1)) | (v121(constB117, bitIndex1) <=> v124(constB117, bitIndex1)))),
% 8.99/6.52 inference(rewrite,[status(thm)],[])).
% 8.99/6.52 tff(19528,plain,
% 8.99/6.52 ((~![B: $i] : ((~less_3(B)) | (v121(constB117, B) <=> v124(constB117, B)))) | ((~less_3(bitIndex1)) | (v121(constB117, bitIndex1) <=> v124(constB117, bitIndex1)))),
% 8.99/6.52 inference(quant_inst,[status(thm)],[])).
% 8.99/6.52 tff(19529,plain,
% 8.99/6.52 ((~![B: $i] : ((~less_3(B)) | (v121(constB117, B) <=> v124(constB117, B)))) | (~less_3(bitIndex1)) | (v121(constB117, bitIndex1) <=> v124(constB117, bitIndex1))),
% 8.99/6.52 inference(modus_ponens,[status(thm)],[19528, 19527])).
% 8.99/6.52 tff(19530,plain,
% 8.99/6.52 (v121(constB117, bitIndex1) <=> v124(constB117, bitIndex1)),
% 8.99/6.52 inference(unit_resolution,[status(thm)],[19529, 9785, 19459])).
% 8.99/6.52 tff(19531,plain,
% 8.99/6.52 (((~![B: $i] : ((~less_3(B)) | (v124(constB117, B) <=> b101(B)))) | ((~less_3(bitIndex1)) | (v124(constB117, bitIndex1) <=> b101(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB117, B) <=> b101(B)))) | (~less_3(bitIndex1)) | (v124(constB117, bitIndex1) <=> b101(bitIndex1)))),
% 8.99/6.52 inference(rewrite,[status(thm)],[])).
% 8.99/6.52 tff(19532,plain,
% 8.99/6.52 ((~![B: $i] : ((~less_3(B)) | (v124(constB117, B) <=> b101(B)))) | ((~less_3(bitIndex1)) | (v124(constB117, bitIndex1) <=> b101(bitIndex1)))),
% 8.99/6.52 inference(quant_inst,[status(thm)],[])).
% 8.99/6.52 tff(19533,plain,
% 8.99/6.52 ((~![B: $i] : ((~less_3(B)) | (v124(constB117, B) <=> b101(B)))) | (~less_3(bitIndex1)) | (v124(constB117, bitIndex1) <=> b101(bitIndex1))),
% 8.99/6.52 inference(modus_ponens,[status(thm)],[19532, 19531])).
% 8.99/6.52 tff(19534,plain,
% 8.99/6.52 (v124(constB117, bitIndex1) <=> b101(bitIndex1)),
% 8.99/6.52 inference(unit_resolution,[status(thm)],[19533, 9785, 19468])).
% 8.99/6.52 tff(19535,plain,
% 8.99/6.52 ((~(v124(constB117, bitIndex1) <=> b101(bitIndex1))) | (~v124(constB117, bitIndex1)) | b101(bitIndex1)),
% 8.99/6.52 inference(tautology,[status(thm)],[])).
% 8.99/6.52 tff(19536,plain,
% 8.99/6.52 ((~(v124(constB117, bitIndex1) <=> b101(bitIndex1))) | (~v124(constB117, bitIndex1))),
% 8.99/6.52 inference(unit_resolution,[status(thm)],[19535, 10757])).
% 8.99/6.52 tff(19537,plain,
% 8.99/6.52 (~v124(constB117, bitIndex1)),
% 8.99/6.52 inference(unit_resolution,[status(thm)],[19536, 19534])).
% 8.99/6.52 tff(19538,plain,
% 8.99/6.52 ((~(v121(constB117, bitIndex1) <=> v124(constB117, bitIndex1))) | (~v121(constB117, bitIndex1)) | v124(constB117, bitIndex1)),
% 8.99/6.52 inference(tautology,[status(thm)],[])).
% 8.99/6.52 tff(19539,plain,
% 8.99/6.52 (~v121(constB117, bitIndex1)),
% 8.99/6.52 inference(unit_resolution,[status(thm)],[19538, 19537, 19530])).
% 8.99/6.52 tff(19540,plain,
% 8.99/6.52 ((~(v123(constB118, bitIndex1) <=> v121(constB117, bitIndex1))) | (~v123(constB118, bitIndex1)) | v121(constB117, bitIndex1)),
% 8.99/6.52 inference(tautology,[status(thm)],[])).
% 8.99/6.52 tff(19541,plain,
% 8.99/6.52 (~v123(constB118, bitIndex1)),
% 8.99/6.52 inference(unit_resolution,[status(thm)],[19540, 19539, 19526])).
% 8.99/6.52 tff(19542,plain,
% 8.99/6.52 ((~(v84(constB118, bitIndex1) <=> v123(constB118, bitIndex1))) | (~v84(constB118, bitIndex1)) | v123(constB118, bitIndex1)),
% 8.99/6.52 inference(tautology,[status(thm)],[])).
% 8.99/6.52 tff(19543,plain,
% 8.99/6.52 (~v84(constB118, bitIndex1)),
% 8.99/6.52 inference(unit_resolution,[status(thm)],[19542, 19541, 19522])).
% 8.99/6.52 tff(19544,plain,
% 8.99/6.52 ((~(v84(constB119, bitIndex1) <=> v84(constB118, bitIndex1))) | (~v84(constB119, bitIndex1)) | v84(constB118, bitIndex1)),
% 8.99/6.52 inference(tautology,[status(thm)],[])).
% 8.99/6.52 tff(19545,plain,
% 8.99/6.52 (~v84(constB119, bitIndex1)),
% 8.99/6.52 inference(unit_resolution,[status(thm)],[19544, 19543, 19518])).
% 8.99/6.52 tff(19546,plain,
% 8.99/6.52 ((~((~v84(constB119, bitIndex2)) | v84(constB119, bitIndex1) | (~v84(constB119, bitIndex0)))) | (~v84(constB119, bitIndex2)) | v84(constB119, bitIndex1) | (~v84(constB119, bitIndex0))),
% 8.99/6.52 inference(tautology,[status(thm)],[])).
% 8.99/6.52 tff(19547,plain,
% 8.99/6.52 (~((~v84(constB119, bitIndex2)) | v84(constB119, bitIndex1) | (~v84(constB119, bitIndex0)))),
% 8.99/6.52 inference(unit_resolution,[status(thm)],[19546, 19545, 19514, 19483])).
% 8.99/6.52 tff(19548,plain,
% 8.99/6.52 ((~(v118(constB119) <=> (~((~v84(constB119, bitIndex2)) | v84(constB119, bitIndex1) | (~v84(constB119, bitIndex0)))))) | v118(constB119) | ((~v84(constB119, bitIndex2)) | v84(constB119, bitIndex1) | (~v84(constB119, bitIndex0)))),
% 8.99/6.52 inference(tautology,[status(thm)],[])).
% 8.99/6.52 tff(19549,plain,
% 8.99/6.52 (v118(constB119)),
% 8.99/6.52 inference(unit_resolution,[status(thm)],[19548, 19547, 4342])).
% 8.99/6.52 tff(19550,plain,
% 8.99/6.52 ((v109(constB119) | v118(constB119)) | (~v118(constB119))),
% 8.99/6.52 inference(tautology,[status(thm)],[])).
% 8.99/6.52 tff(19551,plain,
% 8.99/6.52 (v109(constB119) | v118(constB119)),
% 8.99/6.52 inference(unit_resolution,[status(thm)],[19550, 19549])).
% 8.99/6.52 tff(19552,plain,
% 8.99/6.52 ((~(v108(constB119) <=> (v109(constB119) | v118(constB119)))) | v108(constB119) | (~(v109(constB119) | v118(constB119)))),
% 8.99/6.52 inference(tautology,[status(thm)],[])).
% 8.99/6.52 tff(19553,plain,
% 8.99/6.52 (v108(constB119)),
% 8.99/6.52 inference(unit_resolution,[status(thm)],[19552, 19551, 4335])).
% 8.99/6.52 tff(19554,plain,
% 8.99/6.52 ((v108(constB119) | v119(constB119)) | (~v108(constB119))),
% 8.99/6.52 inference(tautology,[status(thm)],[])).
% 8.99/6.52 tff(19555,plain,
% 8.99/6.52 (v108(constB119) | v119(constB119)),
% 8.99/6.52 inference(unit_resolution,[status(thm)],[19554, 19553])).
% 8.99/6.52 tff(19556,plain,
% 8.99/6.52 ((~(v107(constB119) <=> (v108(constB119) | v119(constB119)))) | v107(constB119) | (~(v108(constB119) | v119(constB119)))),
% 8.99/6.52 inference(tautology,[status(thm)],[])).
% 8.99/6.52 tff(19557,plain,
% 8.99/6.52 (v107(constB119)),
% 8.99/6.52 inference(unit_resolution,[status(thm)],[19556, 19555, 4333])).
% 8.99/6.52 tff(19558,plain,
% 8.99/6.52 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB119)) <=> v105(constB119))),
% 8.99/6.52 inference(quant_inst,[status(thm)],[])).
% 8.99/6.52 tff(19559,plain,
% 8.99/6.52 ((~v120(constB119)) <=> v105(constB119)),
% 8.99/6.52 inference(unit_resolution,[status(thm)],[19558, 9842])).
% 8.99/6.52 tff(19560,plain,
% 8.99/6.52 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB119) <=> v26(constB119))),
% 8.99/6.52 inference(quant_inst,[status(thm)],[])).
% 8.99/6.52 tff(19561,plain,
% 8.99/6.52 (v105(constB119) <=> v26(constB119)),
% 8.99/6.52 inference(unit_resolution,[status(thm)],[19560, 9854])).
% 8.99/6.52 tff(19562,plain,
% 8.99/6.52 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB119))),
% 8.99/6.52 inference(quant_inst,[status(thm)],[])).
% 8.99/6.52 tff(19563,plain,
% 8.99/6.52 (~v26(constB119)),
% 8.99/6.52 inference(unit_resolution,[status(thm)],[19562, 9866])).
% 8.99/6.52 tff(19564,plain,
% 8.99/6.52 ((~(v105(constB119) <=> v26(constB119))) | (~v105(constB119)) | v26(constB119)),
% 8.99/6.52 inference(tautology,[status(thm)],[])).
% 8.99/6.52 tff(19565,plain,
% 8.99/6.52 ((~(v105(constB119) <=> v26(constB119))) | (~v105(constB119))),
% 8.99/6.52 inference(unit_resolution,[status(thm)],[19564, 19563])).
% 8.99/6.52 tff(19566,plain,
% 8.99/6.52 (~v105(constB119)),
% 8.99/6.52 inference(unit_resolution,[status(thm)],[19565, 19561])).
% 8.99/6.52 tff(19567,plain,
% 8.99/6.52 ((~((~v120(constB119)) <=> v105(constB119))) | v120(constB119) | v105(constB119)),
% 8.99/6.52 inference(tautology,[status(thm)],[])).
% 8.99/6.52 tff(19568,plain,
% 8.99/6.52 ((~((~v120(constB119)) <=> v105(constB119))) | v120(constB119)),
% 8.99/6.52 inference(unit_resolution,[status(thm)],[19567, 19566])).
% 8.99/6.52 tff(19569,plain,
% 8.99/6.52 (v120(constB119)),
% 8.99/6.52 inference(unit_resolution,[status(thm)],[19568, 19559])).
% 8.99/6.52 tff(19570,plain,
% 8.99/6.52 ((~((~v107(constB119)) | (~v120(constB119)))) | (~v107(constB119)) | (~v120(constB119))),
% 8.99/6.52 inference(tautology,[status(thm)],[])).
% 8.99/6.52 tff(19571,plain,
% 8.99/6.52 ((~((~v107(constB119)) | (~v120(constB119)))) | (~v107(constB119))),
% 8.99/6.52 inference(unit_resolution,[status(thm)],[19570, 19569])).
% 8.99/6.52 tff(19572,plain,
% 8.99/6.52 (~((~v107(constB119)) | (~v120(constB119)))),
% 8.99/6.52 inference(unit_resolution,[status(thm)],[19571, 19557])).
% 8.99/6.52 tff(19573,plain,
% 8.99/6.52 ((~(v106(constB119) <=> (~((~v107(constB119)) | (~v120(constB119)))))) | v106(constB119) | ((~v107(constB119)) | (~v120(constB119)))),
% 8.99/6.52 inference(tautology,[status(thm)],[])).
% 8.99/6.52 tff(19574,plain,
% 8.99/6.52 (v106(constB119)),
% 8.99/6.52 inference(unit_resolution,[status(thm)],[19573, 19572, 4331])).
% 8.99/6.52 tff(19575,plain,
% 8.99/6.52 ((v105(constB119) | v106(constB119)) | (~v106(constB119))),
% 8.99/6.52 inference(tautology,[status(thm)],[])).
% 8.99/6.52 tff(19576,plain,
% 8.99/6.52 (v105(constB119) | v106(constB119)),
% 8.99/6.52 inference(unit_resolution,[status(thm)],[19575, 19574])).
% 8.99/6.52 tff(19577,plain,
% 8.99/6.52 ((~(v102(constB119) <=> (v105(constB119) | v106(constB119)))) | v102(constB119) | (~(v105(constB119) | v106(constB119)))),
% 8.99/6.52 inference(tautology,[status(thm)],[])).
% 8.99/6.52 tff(19578,plain,
% 8.99/6.52 (v102(constB119)),
% 8.99/6.52 inference(unit_resolution,[status(thm)],[19577, 19576, 4329])).
% 8.99/6.52 tff(19579,plain,
% 8.99/6.52 ((~(v104(constB120) <=> v102(constB119))) | v104(constB120) | (~v102(constB119))),
% 8.99/6.52 inference(tautology,[status(thm)],[])).
% 8.99/6.52 tff(19580,plain,
% 8.99/6.52 (v104(constB120)),
% 8.99/6.52 inference(unit_resolution,[status(thm)],[19579, 19578, 4327])).
% 8.99/6.52 tff(19581,plain,
% 8.99/6.52 ((~((~v104(constB120)) | (~v95(constB120)))) | (~v104(constB120)) | (~v95(constB120))),
% 8.99/6.52 inference(tautology,[status(thm)],[])).
% 8.99/6.52 tff(19582,plain,
% 8.99/6.52 (~((~v104(constB120)) | (~v95(constB120)))),
% 8.99/6.52 inference(unit_resolution,[status(thm)],[19581, 19580, 4323])).
% 8.99/6.52 tff(19583,plain,
% 8.99/6.52 ((~(v94(constB120) <=> (~((~v104(constB120)) | (~v95(constB120)))))) | v94(constB120) | ((~v104(constB120)) | (~v95(constB120)))),
% 8.99/6.52 inference(tautology,[status(thm)],[])).
% 8.99/6.52 tff(19584,plain,
% 8.99/6.52 (v94(constB120)),
% 8.99/6.52 inference(unit_resolution,[status(thm)],[19583, 19582, 4292])).
% 8.99/6.52 tff(19585,plain,
% 8.99/6.52 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB120)) | ![B: $i] : ((~less_3(B)) | (v84(constB120, B) <=> v123(constB120, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB120)) | ![B: $i] : ((~less_3(B)) | (v84(constB120, B) <=> v123(constB120, B))))),
% 8.99/6.52 inference(rewrite,[status(thm)],[])).
% 8.99/6.52 tff(19586,plain,
% 8.99/6.52 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB120)) | ![B: $i] : ((~less_3(B)) | (v84(constB120, B) <=> v123(constB120, B))))),
% 8.99/6.52 inference(quant_inst,[status(thm)],[])).
% 8.99/6.52 tff(19587,plain,
% 8.99/6.52 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB120)) | ![B: $i] : ((~less_3(B)) | (v84(constB120, B) <=> v123(constB120, B)))),
% 8.99/6.52 inference(modus_ponens,[status(thm)],[19586, 19585])).
% 8.99/6.52 tff(19588,plain,
% 8.99/6.52 ((~v94(constB120)) | ![B: $i] : ((~less_3(B)) | (v84(constB120, B) <=> v123(constB120, B)))),
% 8.99/6.52 inference(unit_resolution,[status(thm)],[19587, 9902])).
% 8.99/6.52 tff(19589,plain,
% 8.99/6.52 (![B: $i] : ((~less_3(B)) | (v84(constB120, B) <=> v123(constB120, B)))),
% 8.99/6.52 inference(unit_resolution,[status(thm)],[19588, 19584])).
% 8.99/6.52 tff(19590,plain,
% 8.99/6.52 (((~![B: $i] : ((~less_3(B)) | (v84(constB120, B) <=> v123(constB120, B)))) | ((~less_3(bitIndex2)) | (v84(constB120, bitIndex2) <=> v123(constB120, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB120, B) <=> v123(constB120, B)))) | (~less_3(bitIndex2)) | (v84(constB120, bitIndex2) <=> v123(constB120, bitIndex2)))),
% 8.99/6.52 inference(rewrite,[status(thm)],[])).
% 8.99/6.52 tff(19591,plain,
% 8.99/6.52 ((~![B: $i] : ((~less_3(B)) | (v84(constB120, B) <=> v123(constB120, B)))) | ((~less_3(bitIndex2)) | (v84(constB120, bitIndex2) <=> v123(constB120, bitIndex2)))),
% 8.99/6.52 inference(quant_inst,[status(thm)],[])).
% 8.99/6.52 tff(19592,plain,
% 8.99/6.52 ((~![B: $i] : ((~less_3(B)) | (v84(constB120, B) <=> v123(constB120, B)))) | (~less_3(bitIndex2)) | (v84(constB120, bitIndex2) <=> v123(constB120, bitIndex2))),
% 8.99/6.52 inference(modus_ponens,[status(thm)],[19591, 19590])).
% 8.99/6.52 tff(19593,plain,
% 8.99/6.52 (v84(constB120, bitIndex2) <=> v123(constB120, bitIndex2)),
% 8.99/6.52 inference(unit_resolution,[status(thm)],[19592, 832, 19589])).
% 8.99/6.52 tff(19594,plain,
% 8.99/6.52 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB119, constB120)) | ![B: $i] : ((~less_3(B)) | (v123(constB120, B) <=> v121(constB119, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB119, constB120)) | ![B: $i] : ((~less_3(B)) | (v123(constB120, B) <=> v121(constB119, B))))),
% 8.99/6.52 inference(rewrite,[status(thm)],[])).
% 8.99/6.52 tff(19595,plain,
% 8.99/6.52 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB119, constB120)) | ![B: $i] : ((~less_3(B)) | (v123(constB120, B) <=> v121(constB119, B))))),
% 8.99/6.52 inference(quant_inst,[status(thm)],[])).
% 8.99/6.52 tff(19596,plain,
% 8.99/6.52 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB119, constB120)) | ![B: $i] : ((~less_3(B)) | (v123(constB120, B) <=> v121(constB119, B)))),
% 8.99/6.52 inference(modus_ponens,[status(thm)],[19595, 19594])).
% 8.99/6.52 tff(19597,plain,
% 8.99/6.52 (![B: $i] : ((~less_3(B)) | (v123(constB120, B) <=> v121(constB119, B)))),
% 8.99/6.52 inference(unit_resolution,[status(thm)],[19596, 4288, 9924])).
% 8.99/6.52 tff(19598,plain,
% 8.99/6.52 (((~![B: $i] : ((~less_3(B)) | (v123(constB120, B) <=> v121(constB119, B)))) | ((~less_3(bitIndex2)) | (v123(constB120, bitIndex2) <=> v121(constB119, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB120, B) <=> v121(constB119, B)))) | (~less_3(bitIndex2)) | (v123(constB120, bitIndex2) <=> v121(constB119, bitIndex2)))),
% 8.99/6.52 inference(rewrite,[status(thm)],[])).
% 8.99/6.52 tff(19599,plain,
% 8.99/6.52 ((~![B: $i] : ((~less_3(B)) | (v123(constB120, B) <=> v121(constB119, B)))) | ((~less_3(bitIndex2)) | (v123(constB120, bitIndex2) <=> v121(constB119, bitIndex2)))),
% 8.99/6.52 inference(quant_inst,[status(thm)],[])).
% 8.99/6.52 tff(19600,plain,
% 8.99/6.52 ((~![B: $i] : ((~less_3(B)) | (v123(constB120, B) <=> v121(constB119, B)))) | (~less_3(bitIndex2)) | (v123(constB120, bitIndex2) <=> v121(constB119, bitIndex2))),
% 8.99/6.52 inference(modus_ponens,[status(thm)],[19599, 19598])).
% 8.99/6.52 tff(19601,plain,
% 8.99/6.52 (v123(constB120, bitIndex2) <=> v121(constB119, bitIndex2)),
% 8.99/6.52 inference(unit_resolution,[status(thm)],[19600, 832, 19597])).
% 8.99/6.52 tff(19602,plain,
% 8.99/6.52 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB119) | ![B: $i] : ((~less_3(B)) | (v121(constB119, B) <=> v124(constB119, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB119) | ![B: $i] : ((~less_3(B)) | (v121(constB119, B) <=> v124(constB119, B))))),
% 8.99/6.52 inference(rewrite,[status(thm)],[])).
% 8.99/6.52 tff(19603,plain,
% 8.99/6.52 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB119) | ![B: $i] : ((~less_3(B)) | (v121(constB119, B) <=> v124(constB119, B))))),
% 8.99/6.52 inference(quant_inst,[status(thm)],[])).
% 8.99/6.52 tff(19604,plain,
% 8.99/6.52 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB119) | ![B: $i] : ((~less_3(B)) | (v121(constB119, B) <=> v124(constB119, B)))),
% 8.99/6.52 inference(modus_ponens,[status(thm)],[19603, 19602])).
% 8.99/6.52 tff(19605,plain,
% 8.99/6.52 (![B: $i] : ((~less_3(B)) | (v121(constB119, B) <=> v124(constB119, B)))),
% 8.99/6.52 inference(unit_resolution,[status(thm)],[19604, 9945, 19566])).
% 8.99/6.52 tff(19606,plain,
% 8.99/6.52 (((~![B: $i] : ((~less_3(B)) | (v121(constB119, B) <=> v124(constB119, B)))) | ((~less_3(bitIndex2)) | (v121(constB119, bitIndex2) <=> v124(constB119, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB119, B) <=> v124(constB119, B)))) | (~less_3(bitIndex2)) | (v121(constB119, bitIndex2) <=> v124(constB119, bitIndex2)))),
% 8.99/6.52 inference(rewrite,[status(thm)],[])).
% 8.99/6.52 tff(19607,plain,
% 8.99/6.52 ((~![B: $i] : ((~less_3(B)) | (v121(constB119, B) <=> v124(constB119, B)))) | ((~less_3(bitIndex2)) | (v121(constB119, bitIndex2) <=> v124(constB119, bitIndex2)))),
% 8.99/6.52 inference(quant_inst,[status(thm)],[])).
% 8.99/6.52 tff(19608,plain,
% 8.99/6.52 ((~![B: $i] : ((~less_3(B)) | (v121(constB119, B) <=> v124(constB119, B)))) | (~less_3(bitIndex2)) | (v121(constB119, bitIndex2) <=> v124(constB119, bitIndex2))),
% 8.99/6.52 inference(modus_ponens,[status(thm)],[19607, 19606])).
% 8.99/6.52 tff(19609,plain,
% 8.99/6.52 (v121(constB119, bitIndex2) <=> v124(constB119, bitIndex2)),
% 8.99/6.52 inference(unit_resolution,[status(thm)],[19608, 832, 19605])).
% 8.99/6.52 tff(19610,plain,
% 8.99/6.52 (((~![VarCurr: $i] : ((~v118(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b110(B))))) | ((~v118(constB119)) | ![B: $i] : ((~less_3(B)) | (v124(constB119, B) <=> b110(B))))) <=> ((~![VarCurr: $i] : ((~v118(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b110(B))))) | (~v118(constB119)) | ![B: $i] : ((~less_3(B)) | (v124(constB119, B) <=> b110(B))))),
% 8.99/6.52 inference(rewrite,[status(thm)],[])).
% 8.99/6.52 tff(19611,plain,
% 8.99/6.52 ((~![VarCurr: $i] : ((~v118(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b110(B))))) | ((~v118(constB119)) | ![B: $i] : ((~less_3(B)) | (v124(constB119, B) <=> b110(B))))),
% 8.99/6.52 inference(quant_inst,[status(thm)],[])).
% 8.99/6.52 tff(19612,plain,
% 8.99/6.52 ((~![VarCurr: $i] : ((~v118(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b110(B))))) | (~v118(constB119)) | ![B: $i] : ((~less_3(B)) | (v124(constB119, B) <=> b110(B)))),
% 8.99/6.52 inference(modus_ponens,[status(thm)],[19611, 19610])).
% 8.99/6.52 tff(19613,plain,
% 8.99/6.52 ((~v118(constB119)) | ![B: $i] : ((~less_3(B)) | (v124(constB119, B) <=> b110(B)))),
% 8.99/6.52 inference(unit_resolution,[status(thm)],[19612, 10845])).
% 8.99/6.52 tff(19614,plain,
% 8.99/6.52 (![B: $i] : ((~less_3(B)) | (v124(constB119, B) <=> b110(B)))),
% 8.99/6.52 inference(unit_resolution,[status(thm)],[19613, 19549])).
% 8.99/6.52 tff(19615,plain,
% 8.99/6.52 (((~![B: $i] : ((~less_3(B)) | (v124(constB119, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v124(constB119, bitIndex2) <=> b110(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB119, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v124(constB119, bitIndex2) <=> b110(bitIndex2)))),
% 8.99/6.52 inference(rewrite,[status(thm)],[])).
% 8.99/6.52 tff(19616,plain,
% 8.99/6.52 ((~![B: $i] : ((~less_3(B)) | (v124(constB119, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v124(constB119, bitIndex2) <=> b110(bitIndex2)))),
% 8.99/6.52 inference(quant_inst,[status(thm)],[])).
% 8.99/6.52 tff(19617,plain,
% 8.99/6.52 ((~![B: $i] : ((~less_3(B)) | (v124(constB119, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v124(constB119, bitIndex2) <=> b110(bitIndex2))),
% 8.99/6.52 inference(modus_ponens,[status(thm)],[19616, 19615])).
% 8.99/6.52 tff(19618,plain,
% 8.99/6.52 (v124(constB119, bitIndex2) <=> b110(bitIndex2)),
% 8.99/6.52 inference(unit_resolution,[status(thm)],[19617, 832, 19614])).
% 8.99/6.52 tff(19619,plain,
% 8.99/6.52 ((~(v124(constB119, bitIndex2) <=> b110(bitIndex2))) | v124(constB119, bitIndex2) | (~b110(bitIndex2))),
% 8.99/6.52 inference(tautology,[status(thm)],[])).
% 8.99/6.52 tff(19620,plain,
% 8.99/6.52 ((~(v124(constB119, bitIndex2) <=> b110(bitIndex2))) | v124(constB119, bitIndex2)),
% 8.99/6.52 inference(unit_resolution,[status(thm)],[19619, 10857])).
% 8.99/6.52 tff(19621,plain,
% 8.99/6.52 (v124(constB119, bitIndex2)),
% 8.99/6.52 inference(unit_resolution,[status(thm)],[19620, 19618])).
% 8.99/6.52 tff(19622,plain,
% 8.99/6.52 ((~(v121(constB119, bitIndex2) <=> v124(constB119, bitIndex2))) | v121(constB119, bitIndex2) | (~v124(constB119, bitIndex2))),
% 8.99/6.52 inference(tautology,[status(thm)],[])).
% 8.99/6.52 tff(19623,plain,
% 8.99/6.52 (v121(constB119, bitIndex2)),
% 8.99/6.52 inference(unit_resolution,[status(thm)],[19622, 19621, 19609])).
% 8.99/6.52 tff(19624,plain,
% 8.99/6.52 ((~(v123(constB120, bitIndex2) <=> v121(constB119, bitIndex2))) | v123(constB120, bitIndex2) | (~v121(constB119, bitIndex2))),
% 8.99/6.52 inference(tautology,[status(thm)],[])).
% 8.99/6.52 tff(19625,plain,
% 8.99/6.52 (v123(constB120, bitIndex2)),
% 8.99/6.52 inference(unit_resolution,[status(thm)],[19624, 19623, 19601])).
% 8.99/6.52 tff(19626,plain,
% 8.99/6.52 ((~(v84(constB120, bitIndex2) <=> v123(constB120, bitIndex2))) | v84(constB120, bitIndex2) | (~v123(constB120, bitIndex2))),
% 8.99/6.52 inference(tautology,[status(thm)],[])).
% 8.99/6.52 tff(19627,plain,
% 8.99/6.52 (v84(constB120, bitIndex2)),
% 8.99/6.52 inference(unit_resolution,[status(thm)],[19626, 19625, 19593])).
% 8.99/6.52 tff(19628,plain,
% 8.99/6.52 ((~(v84(constB121, bitIndex2) <=> v84(constB120, bitIndex2))) | v84(constB121, bitIndex2) | (~v84(constB120, bitIndex2))),
% 8.99/6.52 inference(tautology,[status(thm)],[])).
% 8.99/6.52 tff(19629,plain,
% 8.99/6.52 (v84(constB121, bitIndex2)),
% 8.99/6.52 inference(unit_resolution,[status(thm)],[19628, 19627, 4285])).
% 8.99/6.52 tff(19630,plain,
% 8.99/6.52 (((~![B: $i] : ((~less_3(B)) | (v84(constB121, B) <=> v84(constB120, B)))) | ((~less_3(bitIndex0)) | (v84(constB121, bitIndex0) <=> v84(constB120, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB121, B) <=> v84(constB120, B)))) | (~less_3(bitIndex0)) | (v84(constB121, bitIndex0) <=> v84(constB120, bitIndex0)))),
% 8.99/6.52 inference(rewrite,[status(thm)],[])).
% 8.99/6.52 tff(19631,plain,
% 8.99/6.52 ((~![B: $i] : ((~less_3(B)) | (v84(constB121, B) <=> v84(constB120, B)))) | ((~less_3(bitIndex0)) | (v84(constB121, bitIndex0) <=> v84(constB120, bitIndex0)))),
% 8.99/6.52 inference(quant_inst,[status(thm)],[])).
% 8.99/6.52 tff(19632,plain,
% 8.99/6.52 ((~![B: $i] : ((~less_3(B)) | (v84(constB121, B) <=> v84(constB120, B)))) | (~less_3(bitIndex0)) | (v84(constB121, bitIndex0) <=> v84(constB120, bitIndex0))),
% 8.99/6.52 inference(modus_ponens,[status(thm)],[19631, 19630])).
% 8.99/6.52 tff(19633,plain,
% 8.99/6.52 (v84(constB121, bitIndex0) <=> v84(constB120, bitIndex0)),
% 8.99/6.52 inference(unit_resolution,[status(thm)],[19632, 9772, 4281])).
% 8.99/6.52 tff(19634,plain,
% 8.99/6.52 (((~![B: $i] : ((~less_3(B)) | (v84(constB120, B) <=> v123(constB120, B)))) | ((~less_3(bitIndex0)) | (v84(constB120, bitIndex0) <=> v123(constB120, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB120, B) <=> v123(constB120, B)))) | (~less_3(bitIndex0)) | (v84(constB120, bitIndex0) <=> v123(constB120, bitIndex0)))),
% 8.99/6.52 inference(rewrite,[status(thm)],[])).
% 8.99/6.52 tff(19635,plain,
% 8.99/6.52 ((~![B: $i] : ((~less_3(B)) | (v84(constB120, B) <=> v123(constB120, B)))) | ((~less_3(bitIndex0)) | (v84(constB120, bitIndex0) <=> v123(constB120, bitIndex0)))),
% 8.99/6.52 inference(quant_inst,[status(thm)],[])).
% 8.99/6.52 tff(19636,plain,
% 8.99/6.52 ((~![B: $i] : ((~less_3(B)) | (v84(constB120, B) <=> v123(constB120, B)))) | (~less_3(bitIndex0)) | (v84(constB120, bitIndex0) <=> v123(constB120, bitIndex0))),
% 8.99/6.52 inference(modus_ponens,[status(thm)],[19635, 19634])).
% 8.99/6.52 tff(19637,plain,
% 8.99/6.52 (v84(constB120, bitIndex0) <=> v123(constB120, bitIndex0)),
% 8.99/6.52 inference(unit_resolution,[status(thm)],[19636, 9772, 19589])).
% 8.99/6.52 tff(19638,plain,
% 8.99/6.52 (((~![B: $i] : ((~less_3(B)) | (v123(constB120, B) <=> v121(constB119, B)))) | ((~less_3(bitIndex0)) | (v123(constB120, bitIndex0) <=> v121(constB119, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB120, B) <=> v121(constB119, B)))) | (~less_3(bitIndex0)) | (v123(constB120, bitIndex0) <=> v121(constB119, bitIndex0)))),
% 8.99/6.52 inference(rewrite,[status(thm)],[])).
% 8.99/6.52 tff(19639,plain,
% 8.99/6.52 ((~![B: $i] : ((~less_3(B)) | (v123(constB120, B) <=> v121(constB119, B)))) | ((~less_3(bitIndex0)) | (v123(constB120, bitIndex0) <=> v121(constB119, bitIndex0)))),
% 8.99/6.52 inference(quant_inst,[status(thm)],[])).
% 8.99/6.52 tff(19640,plain,
% 8.99/6.52 ((~![B: $i] : ((~less_3(B)) | (v123(constB120, B) <=> v121(constB119, B)))) | (~less_3(bitIndex0)) | (v123(constB120, bitIndex0) <=> v121(constB119, bitIndex0))),
% 8.99/6.52 inference(modus_ponens,[status(thm)],[19639, 19638])).
% 8.99/6.52 tff(19641,plain,
% 8.99/6.52 (v123(constB120, bitIndex0) <=> v121(constB119, bitIndex0)),
% 8.99/6.52 inference(unit_resolution,[status(thm)],[19640, 9772, 19597])).
% 8.99/6.52 tff(19642,plain,
% 8.99/6.52 (((~![B: $i] : ((~less_3(B)) | (v121(constB119, B) <=> v124(constB119, B)))) | ((~less_3(bitIndex0)) | (v121(constB119, bitIndex0) <=> v124(constB119, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB119, B) <=> v124(constB119, B)))) | (~less_3(bitIndex0)) | (v121(constB119, bitIndex0) <=> v124(constB119, bitIndex0)))),
% 8.99/6.52 inference(rewrite,[status(thm)],[])).
% 8.99/6.52 tff(19643,plain,
% 8.99/6.52 ((~![B: $i] : ((~less_3(B)) | (v121(constB119, B) <=> v124(constB119, B)))) | ((~less_3(bitIndex0)) | (v121(constB119, bitIndex0) <=> v124(constB119, bitIndex0)))),
% 8.99/6.52 inference(quant_inst,[status(thm)],[])).
% 8.99/6.52 tff(19644,plain,
% 8.99/6.52 ((~![B: $i] : ((~less_3(B)) | (v121(constB119, B) <=> v124(constB119, B)))) | (~less_3(bitIndex0)) | (v121(constB119, bitIndex0) <=> v124(constB119, bitIndex0))),
% 8.99/6.52 inference(modus_ponens,[status(thm)],[19643, 19642])).
% 8.99/6.52 tff(19645,plain,
% 8.99/6.52 (v121(constB119, bitIndex0) <=> v124(constB119, bitIndex0)),
% 8.99/6.52 inference(unit_resolution,[status(thm)],[19644, 9772, 19605])).
% 8.99/6.52 tff(19646,plain,
% 8.99/6.52 (((~![B: $i] : ((~less_3(B)) | (v124(constB119, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v124(constB119, bitIndex0) <=> b110(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB119, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v124(constB119, bitIndex0) <=> b110(bitIndex0)))),
% 8.99/6.52 inference(rewrite,[status(thm)],[])).
% 8.99/6.52 tff(19647,plain,
% 8.99/6.52 ((~![B: $i] : ((~less_3(B)) | (v124(constB119, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v124(constB119, bitIndex0) <=> b110(bitIndex0)))),
% 8.99/6.52 inference(quant_inst,[status(thm)],[])).
% 8.99/6.52 tff(19648,plain,
% 8.99/6.52 ((~![B: $i] : ((~less_3(B)) | (v124(constB119, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v124(constB119, bitIndex0) <=> b110(bitIndex0))),
% 8.99/6.52 inference(modus_ponens,[status(thm)],[19647, 19646])).
% 8.99/6.52 tff(19649,plain,
% 8.99/6.52 (v124(constB119, bitIndex0) <=> b110(bitIndex0)),
% 8.99/6.52 inference(unit_resolution,[status(thm)],[19648, 9772, 19614])).
% 8.99/6.52 tff(19650,plain,
% 8.99/6.52 ((~(v124(constB119, bitIndex0) <=> b110(bitIndex0))) | (~v124(constB119, bitIndex0)) | b110(bitIndex0)),
% 8.99/6.52 inference(tautology,[status(thm)],[])).
% 8.99/6.52 tff(19651,plain,
% 8.99/6.52 ((~(v124(constB119, bitIndex0) <=> b110(bitIndex0))) | (~v124(constB119, bitIndex0))),
% 8.99/6.52 inference(unit_resolution,[status(thm)],[19650, 10891])).
% 8.99/6.52 tff(19652,plain,
% 8.99/6.52 (~v124(constB119, bitIndex0)),
% 8.99/6.52 inference(unit_resolution,[status(thm)],[19651, 19649])).
% 8.99/6.52 tff(19653,plain,
% 8.99/6.52 ((~(v121(constB119, bitIndex0) <=> v124(constB119, bitIndex0))) | (~v121(constB119, bitIndex0)) | v124(constB119, bitIndex0)),
% 8.99/6.52 inference(tautology,[status(thm)],[])).
% 8.99/6.52 tff(19654,plain,
% 8.99/6.52 (~v121(constB119, bitIndex0)),
% 8.99/6.52 inference(unit_resolution,[status(thm)],[19653, 19652, 19645])).
% 8.99/6.52 tff(19655,plain,
% 8.99/6.52 ((~(v123(constB120, bitIndex0) <=> v121(constB119, bitIndex0))) | (~v123(constB120, bitIndex0)) | v121(constB119, bitIndex0)),
% 8.99/6.52 inference(tautology,[status(thm)],[])).
% 8.99/6.52 tff(19656,plain,
% 8.99/6.52 (~v123(constB120, bitIndex0)),
% 8.99/6.52 inference(unit_resolution,[status(thm)],[19655, 19654, 19641])).
% 8.99/6.52 tff(19657,plain,
% 8.99/6.52 ((~(v84(constB120, bitIndex0) <=> v123(constB120, bitIndex0))) | (~v84(constB120, bitIndex0)) | v123(constB120, bitIndex0)),
% 8.99/6.52 inference(tautology,[status(thm)],[])).
% 8.99/6.52 tff(19658,plain,
% 8.99/6.52 (~v84(constB120, bitIndex0)),
% 8.99/6.52 inference(unit_resolution,[status(thm)],[19657, 19656, 19637])).
% 8.99/6.52 tff(19659,plain,
% 8.99/6.52 ((~(v84(constB121, bitIndex0) <=> v84(constB120, bitIndex0))) | (~v84(constB121, bitIndex0)) | v84(constB120, bitIndex0)),
% 8.99/6.52 inference(tautology,[status(thm)],[])).
% 8.99/6.52 tff(19660,plain,
% 8.99/6.52 (~v84(constB121, bitIndex0)),
% 8.99/6.52 inference(unit_resolution,[status(thm)],[19659, 19658, 19633])).
% 8.99/6.52 tff(19661,plain,
% 8.99/6.52 (((~![B: $i] : ((~less_3(B)) | (v84(constB121, B) <=> v84(constB120, B)))) | ((~less_3(bitIndex1)) | (v84(constB121, bitIndex1) <=> v84(constB120, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB121, B) <=> v84(constB120, B)))) | (~less_3(bitIndex1)) | (v84(constB121, bitIndex1) <=> v84(constB120, bitIndex1)))),
% 8.99/6.52 inference(rewrite,[status(thm)],[])).
% 8.99/6.52 tff(19662,plain,
% 8.99/6.52 ((~![B: $i] : ((~less_3(B)) | (v84(constB121, B) <=> v84(constB120, B)))) | ((~less_3(bitIndex1)) | (v84(constB121, bitIndex1) <=> v84(constB120, bitIndex1)))),
% 8.99/6.53 inference(quant_inst,[status(thm)],[])).
% 8.99/6.53 tff(19663,plain,
% 8.99/6.53 ((~![B: $i] : ((~less_3(B)) | (v84(constB121, B) <=> v84(constB120, B)))) | (~less_3(bitIndex1)) | (v84(constB121, bitIndex1) <=> v84(constB120, bitIndex1))),
% 8.99/6.53 inference(modus_ponens,[status(thm)],[19662, 19661])).
% 8.99/6.53 tff(19664,plain,
% 8.99/6.53 (v84(constB121, bitIndex1) <=> v84(constB120, bitIndex1)),
% 8.99/6.53 inference(unit_resolution,[status(thm)],[19663, 9785, 4281])).
% 8.99/6.53 tff(19665,plain,
% 8.99/6.53 (((~![B: $i] : ((~less_3(B)) | (v84(constB120, B) <=> v123(constB120, B)))) | ((~less_3(bitIndex1)) | (v84(constB120, bitIndex1) <=> v123(constB120, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB120, B) <=> v123(constB120, B)))) | (~less_3(bitIndex1)) | (v84(constB120, bitIndex1) <=> v123(constB120, bitIndex1)))),
% 8.99/6.53 inference(rewrite,[status(thm)],[])).
% 8.99/6.53 tff(19666,plain,
% 8.99/6.53 ((~![B: $i] : ((~less_3(B)) | (v84(constB120, B) <=> v123(constB120, B)))) | ((~less_3(bitIndex1)) | (v84(constB120, bitIndex1) <=> v123(constB120, bitIndex1)))),
% 8.99/6.53 inference(quant_inst,[status(thm)],[])).
% 8.99/6.53 tff(19667,plain,
% 8.99/6.53 ((~![B: $i] : ((~less_3(B)) | (v84(constB120, B) <=> v123(constB120, B)))) | (~less_3(bitIndex1)) | (v84(constB120, bitIndex1) <=> v123(constB120, bitIndex1))),
% 8.99/6.53 inference(modus_ponens,[status(thm)],[19666, 19665])).
% 8.99/6.53 tff(19668,plain,
% 8.99/6.53 (v84(constB120, bitIndex1) <=> v123(constB120, bitIndex1)),
% 8.99/6.53 inference(unit_resolution,[status(thm)],[19667, 9785, 19589])).
% 8.99/6.53 tff(19669,plain,
% 8.99/6.53 (((~![B: $i] : ((~less_3(B)) | (v123(constB120, B) <=> v121(constB119, B)))) | ((~less_3(bitIndex1)) | (v123(constB120, bitIndex1) <=> v121(constB119, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB120, B) <=> v121(constB119, B)))) | (~less_3(bitIndex1)) | (v123(constB120, bitIndex1) <=> v121(constB119, bitIndex1)))),
% 8.99/6.53 inference(rewrite,[status(thm)],[])).
% 8.99/6.53 tff(19670,plain,
% 8.99/6.53 ((~![B: $i] : ((~less_3(B)) | (v123(constB120, B) <=> v121(constB119, B)))) | ((~less_3(bitIndex1)) | (v123(constB120, bitIndex1) <=> v121(constB119, bitIndex1)))),
% 8.99/6.53 inference(quant_inst,[status(thm)],[])).
% 8.99/6.53 tff(19671,plain,
% 8.99/6.53 ((~![B: $i] : ((~less_3(B)) | (v123(constB120, B) <=> v121(constB119, B)))) | (~less_3(bitIndex1)) | (v123(constB120, bitIndex1) <=> v121(constB119, bitIndex1))),
% 8.99/6.53 inference(modus_ponens,[status(thm)],[19670, 19669])).
% 8.99/6.53 tff(19672,plain,
% 8.99/6.53 (v123(constB120, bitIndex1) <=> v121(constB119, bitIndex1)),
% 8.99/6.53 inference(unit_resolution,[status(thm)],[19671, 9785, 19597])).
% 8.99/6.53 tff(19673,plain,
% 8.99/6.53 (((~![B: $i] : ((~less_3(B)) | (v121(constB119, B) <=> v124(constB119, B)))) | ((~less_3(bitIndex1)) | (v121(constB119, bitIndex1) <=> v124(constB119, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB119, B) <=> v124(constB119, B)))) | (~less_3(bitIndex1)) | (v121(constB119, bitIndex1) <=> v124(constB119, bitIndex1)))),
% 8.99/6.53 inference(rewrite,[status(thm)],[])).
% 8.99/6.53 tff(19674,plain,
% 8.99/6.53 ((~![B: $i] : ((~less_3(B)) | (v121(constB119, B) <=> v124(constB119, B)))) | ((~less_3(bitIndex1)) | (v121(constB119, bitIndex1) <=> v124(constB119, bitIndex1)))),
% 8.99/6.53 inference(quant_inst,[status(thm)],[])).
% 8.99/6.53 tff(19675,plain,
% 8.99/6.53 ((~![B: $i] : ((~less_3(B)) | (v121(constB119, B) <=> v124(constB119, B)))) | (~less_3(bitIndex1)) | (v121(constB119, bitIndex1) <=> v124(constB119, bitIndex1))),
% 8.99/6.53 inference(modus_ponens,[status(thm)],[19674, 19673])).
% 8.99/6.53 tff(19676,plain,
% 8.99/6.53 (v121(constB119, bitIndex1) <=> v124(constB119, bitIndex1)),
% 8.99/6.53 inference(unit_resolution,[status(thm)],[19675, 9785, 19605])).
% 8.99/6.53 tff(19677,plain,
% 8.99/6.53 (((~![B: $i] : ((~less_3(B)) | (v124(constB119, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v124(constB119, bitIndex1) <=> b110(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB119, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v124(constB119, bitIndex1) <=> b110(bitIndex1)))),
% 8.99/6.53 inference(rewrite,[status(thm)],[])).
% 8.99/6.53 tff(19678,plain,
% 8.99/6.53 ((~![B: $i] : ((~less_3(B)) | (v124(constB119, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v124(constB119, bitIndex1) <=> b110(bitIndex1)))),
% 8.99/6.53 inference(quant_inst,[status(thm)],[])).
% 8.99/6.53 tff(19679,plain,
% 8.99/6.53 ((~![B: $i] : ((~less_3(B)) | (v124(constB119, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v124(constB119, bitIndex1) <=> b110(bitIndex1))),
% 8.99/6.53 inference(modus_ponens,[status(thm)],[19678, 19677])).
% 8.99/6.53 tff(19680,plain,
% 8.99/6.53 (v124(constB119, bitIndex1) <=> b110(bitIndex1)),
% 8.99/6.53 inference(unit_resolution,[status(thm)],[19679, 9785, 19614])).
% 8.99/6.53 tff(19681,plain,
% 8.99/6.53 ((~(v124(constB119, bitIndex1) <=> b110(bitIndex1))) | v124(constB119, bitIndex1) | (~b110(bitIndex1))),
% 8.99/6.53 inference(tautology,[status(thm)],[])).
% 8.99/6.53 tff(19682,plain,
% 8.99/6.53 ((~(v124(constB119, bitIndex1) <=> b110(bitIndex1))) | v124(constB119, bitIndex1)),
% 8.99/6.53 inference(unit_resolution,[status(thm)],[19681, 10925])).
% 8.99/6.53 tff(19683,plain,
% 8.99/6.53 (v124(constB119, bitIndex1)),
% 8.99/6.53 inference(unit_resolution,[status(thm)],[19682, 19680])).
% 8.99/6.53 tff(19684,plain,
% 8.99/6.53 ((~(v121(constB119, bitIndex1) <=> v124(constB119, bitIndex1))) | v121(constB119, bitIndex1) | (~v124(constB119, bitIndex1))),
% 8.99/6.53 inference(tautology,[status(thm)],[])).
% 8.99/6.53 tff(19685,plain,
% 8.99/6.53 (v121(constB119, bitIndex1)),
% 8.99/6.53 inference(unit_resolution,[status(thm)],[19684, 19683, 19676])).
% 8.99/6.53 tff(19686,plain,
% 8.99/6.53 ((~(v123(constB120, bitIndex1) <=> v121(constB119, bitIndex1))) | v123(constB120, bitIndex1) | (~v121(constB119, bitIndex1))),
% 8.99/6.53 inference(tautology,[status(thm)],[])).
% 8.99/6.53 tff(19687,plain,
% 8.99/6.53 (v123(constB120, bitIndex1)),
% 8.99/6.53 inference(unit_resolution,[status(thm)],[19686, 19685, 19672])).
% 8.99/6.53 tff(19688,plain,
% 8.99/6.53 ((~(v84(constB120, bitIndex1) <=> v123(constB120, bitIndex1))) | v84(constB120, bitIndex1) | (~v123(constB120, bitIndex1))),
% 8.99/6.53 inference(tautology,[status(thm)],[])).
% 8.99/6.53 tff(19689,plain,
% 8.99/6.53 (v84(constB120, bitIndex1)),
% 8.99/6.53 inference(unit_resolution,[status(thm)],[19688, 19687, 19668])).
% 8.99/6.53 tff(19690,plain,
% 8.99/6.53 ((~(v84(constB121, bitIndex1) <=> v84(constB120, bitIndex1))) | v84(constB121, bitIndex1) | (~v84(constB120, bitIndex1))),
% 8.99/6.53 inference(tautology,[status(thm)],[])).
% 8.99/6.53 tff(19691,plain,
% 8.99/6.53 (v84(constB121, bitIndex1)),
% 8.99/6.53 inference(unit_resolution,[status(thm)],[19690, 19689, 19664])).
% 8.99/6.53 tff(19692,plain,
% 8.99/6.53 ((~((~v84(constB121, bitIndex2)) | (~v84(constB121, bitIndex1)) | v84(constB121, bitIndex0))) | (~v84(constB121, bitIndex2)) | (~v84(constB121, bitIndex1)) | v84(constB121, bitIndex0)),
% 8.99/6.53 inference(tautology,[status(thm)],[])).
% 8.99/6.53 tff(19693,plain,
% 8.99/6.53 (~((~v84(constB121, bitIndex2)) | (~v84(constB121, bitIndex1)) | v84(constB121, bitIndex0))),
% 8.99/6.53 inference(unit_resolution,[status(thm)],[19692, 19691, 19660, 19629])).
% 8.99/6.53 tff(19694,plain,
% 8.99/6.53 ((~(v119(constB121) <=> (~((~v84(constB121, bitIndex2)) | (~v84(constB121, bitIndex1)) | v84(constB121, bitIndex0))))) | v119(constB121) | ((~v84(constB121, bitIndex2)) | (~v84(constB121, bitIndex1)) | v84(constB121, bitIndex0))),
% 8.99/6.53 inference(tautology,[status(thm)],[])).
% 8.99/6.53 tff(19695,plain,
% 8.99/6.53 (v119(constB121)),
% 8.99/6.53 inference(unit_resolution,[status(thm)],[19694, 19693, 4253])).
% 8.99/6.53 tff(19696,plain,
% 8.99/6.53 ((v108(constB121) | v119(constB121)) | (~v119(constB121))),
% 8.99/6.53 inference(tautology,[status(thm)],[])).
% 8.99/6.53 tff(19697,plain,
% 8.99/6.53 (v108(constB121) | v119(constB121)),
% 8.99/6.53 inference(unit_resolution,[status(thm)],[19696, 19695])).
% 8.99/6.53 tff(19698,plain,
% 8.99/6.53 ((~(v107(constB121) <=> (v108(constB121) | v119(constB121)))) | v107(constB121) | (~(v108(constB121) | v119(constB121)))),
% 8.99/6.53 inference(tautology,[status(thm)],[])).
% 8.99/6.53 tff(19699,plain,
% 8.99/6.53 (v107(constB121)),
% 8.99/6.53 inference(unit_resolution,[status(thm)],[19698, 19697, 4246])).
% 8.99/6.53 tff(19700,plain,
% 8.99/6.53 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB121)) <=> v105(constB121))),
% 8.99/6.53 inference(quant_inst,[status(thm)],[])).
% 8.99/6.53 tff(19701,plain,
% 8.99/6.53 ((~v120(constB121)) <=> v105(constB121)),
% 8.99/6.53 inference(unit_resolution,[status(thm)],[19700, 9842])).
% 8.99/6.53 tff(19702,plain,
% 8.99/6.53 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB121) <=> v26(constB121))),
% 8.99/6.53 inference(quant_inst,[status(thm)],[])).
% 8.99/6.53 tff(19703,plain,
% 8.99/6.53 (v105(constB121) <=> v26(constB121)),
% 8.99/6.53 inference(unit_resolution,[status(thm)],[19702, 9854])).
% 8.99/6.53 tff(19704,plain,
% 8.99/6.53 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB121))),
% 8.99/6.53 inference(quant_inst,[status(thm)],[])).
% 8.99/6.53 tff(19705,plain,
% 8.99/6.53 (~v26(constB121)),
% 8.99/6.53 inference(unit_resolution,[status(thm)],[19704, 9866])).
% 8.99/6.53 tff(19706,plain,
% 8.99/6.53 ((~(v105(constB121) <=> v26(constB121))) | (~v105(constB121)) | v26(constB121)),
% 8.99/6.53 inference(tautology,[status(thm)],[])).
% 8.99/6.53 tff(19707,plain,
% 8.99/6.53 ((~(v105(constB121) <=> v26(constB121))) | (~v105(constB121))),
% 8.99/6.53 inference(unit_resolution,[status(thm)],[19706, 19705])).
% 8.99/6.53 tff(19708,plain,
% 8.99/6.53 (~v105(constB121)),
% 8.99/6.53 inference(unit_resolution,[status(thm)],[19707, 19703])).
% 8.99/6.53 tff(19709,plain,
% 8.99/6.53 ((~((~v120(constB121)) <=> v105(constB121))) | v120(constB121) | v105(constB121)),
% 8.99/6.53 inference(tautology,[status(thm)],[])).
% 8.99/6.53 tff(19710,plain,
% 8.99/6.53 ((~((~v120(constB121)) <=> v105(constB121))) | v120(constB121)),
% 8.99/6.53 inference(unit_resolution,[status(thm)],[19709, 19708])).
% 8.99/6.53 tff(19711,plain,
% 8.99/6.53 (v120(constB121)),
% 8.99/6.53 inference(unit_resolution,[status(thm)],[19710, 19701])).
% 8.99/6.53 tff(19712,plain,
% 8.99/6.53 ((~((~v107(constB121)) | (~v120(constB121)))) | (~v107(constB121)) | (~v120(constB121))),
% 8.99/6.53 inference(tautology,[status(thm)],[])).
% 8.99/6.53 tff(19713,plain,
% 8.99/6.53 ((~((~v107(constB121)) | (~v120(constB121)))) | (~v107(constB121))),
% 8.99/6.53 inference(unit_resolution,[status(thm)],[19712, 19711])).
% 8.99/6.53 tff(19714,plain,
% 8.99/6.53 (~((~v107(constB121)) | (~v120(constB121)))),
% 8.99/6.53 inference(unit_resolution,[status(thm)],[19713, 19699])).
% 8.99/6.53 tff(19715,plain,
% 8.99/6.53 ((~(v106(constB121) <=> (~((~v107(constB121)) | (~v120(constB121)))))) | v106(constB121) | ((~v107(constB121)) | (~v120(constB121)))),
% 8.99/6.53 inference(tautology,[status(thm)],[])).
% 8.99/6.53 tff(19716,plain,
% 8.99/6.53 (v106(constB121)),
% 8.99/6.53 inference(unit_resolution,[status(thm)],[19715, 19714, 4244])).
% 8.99/6.53 tff(19717,plain,
% 8.99/6.53 ((v105(constB121) | v106(constB121)) | (~v106(constB121))),
% 8.99/6.53 inference(tautology,[status(thm)],[])).
% 8.99/6.53 tff(19718,plain,
% 8.99/6.53 (v105(constB121) | v106(constB121)),
% 8.99/6.53 inference(unit_resolution,[status(thm)],[19717, 19716])).
% 8.99/6.53 tff(19719,plain,
% 8.99/6.53 ((~(v102(constB121) <=> (v105(constB121) | v106(constB121)))) | v102(constB121) | (~(v105(constB121) | v106(constB121)))),
% 8.99/6.53 inference(tautology,[status(thm)],[])).
% 8.99/6.53 tff(19720,plain,
% 8.99/6.53 (v102(constB121)),
% 8.99/6.53 inference(unit_resolution,[status(thm)],[19719, 19718, 4242])).
% 8.99/6.53 tff(19721,plain,
% 8.99/6.53 ((~(v104(constB122) <=> v102(constB121))) | v104(constB122) | (~v102(constB121))),
% 8.99/6.53 inference(tautology,[status(thm)],[])).
% 8.99/6.53 tff(19722,plain,
% 8.99/6.53 (v104(constB122)),
% 8.99/6.53 inference(unit_resolution,[status(thm)],[19721, 19720, 4240])).
% 8.99/6.53 tff(19723,plain,
% 8.99/6.53 ((~((~v104(constB122)) | (~v95(constB122)))) | (~v104(constB122)) | (~v95(constB122))),
% 8.99/6.53 inference(tautology,[status(thm)],[])).
% 8.99/6.53 tff(19724,plain,
% 8.99/6.53 (~((~v104(constB122)) | (~v95(constB122)))),
% 8.99/6.53 inference(unit_resolution,[status(thm)],[19723, 19722, 4236])).
% 8.99/6.53 tff(19725,plain,
% 8.99/6.53 ((~(v94(constB122) <=> (~((~v104(constB122)) | (~v95(constB122)))))) | v94(constB122) | ((~v104(constB122)) | (~v95(constB122)))),
% 8.99/6.53 inference(tautology,[status(thm)],[])).
% 8.99/6.53 tff(19726,plain,
% 8.99/6.53 (v94(constB122)),
% 8.99/6.53 inference(unit_resolution,[status(thm)],[19725, 19724, 4205])).
% 8.99/6.53 tff(19727,plain,
% 8.99/6.53 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB122)) | ![B: $i] : ((~less_3(B)) | (v84(constB122, B) <=> v123(constB122, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB122)) | ![B: $i] : ((~less_3(B)) | (v84(constB122, B) <=> v123(constB122, B))))),
% 8.99/6.53 inference(rewrite,[status(thm)],[])).
% 8.99/6.53 tff(19728,plain,
% 8.99/6.53 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB122)) | ![B: $i] : ((~less_3(B)) | (v84(constB122, B) <=> v123(constB122, B))))),
% 8.99/6.53 inference(quant_inst,[status(thm)],[])).
% 8.99/6.53 tff(19729,plain,
% 8.99/6.53 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB122)) | ![B: $i] : ((~less_3(B)) | (v84(constB122, B) <=> v123(constB122, B)))),
% 8.99/6.53 inference(modus_ponens,[status(thm)],[19728, 19727])).
% 8.99/6.53 tff(19730,plain,
% 8.99/6.53 ((~v94(constB122)) | ![B: $i] : ((~less_3(B)) | (v84(constB122, B) <=> v123(constB122, B)))),
% 8.99/6.53 inference(unit_resolution,[status(thm)],[19729, 9902])).
% 8.99/6.53 tff(19731,plain,
% 8.99/6.53 (![B: $i] : ((~less_3(B)) | (v84(constB122, B) <=> v123(constB122, B)))),
% 8.99/6.53 inference(unit_resolution,[status(thm)],[19730, 19726])).
% 8.99/6.53 tff(19732,plain,
% 8.99/6.53 (((~![B: $i] : ((~less_3(B)) | (v84(constB122, B) <=> v123(constB122, B)))) | ((~less_3(bitIndex2)) | (v84(constB122, bitIndex2) <=> v123(constB122, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB122, B) <=> v123(constB122, B)))) | (~less_3(bitIndex2)) | (v84(constB122, bitIndex2) <=> v123(constB122, bitIndex2)))),
% 8.99/6.53 inference(rewrite,[status(thm)],[])).
% 8.99/6.53 tff(19733,plain,
% 8.99/6.53 ((~![B: $i] : ((~less_3(B)) | (v84(constB122, B) <=> v123(constB122, B)))) | ((~less_3(bitIndex2)) | (v84(constB122, bitIndex2) <=> v123(constB122, bitIndex2)))),
% 8.99/6.53 inference(quant_inst,[status(thm)],[])).
% 8.99/6.53 tff(19734,plain,
% 8.99/6.53 ((~![B: $i] : ((~less_3(B)) | (v84(constB122, B) <=> v123(constB122, B)))) | (~less_3(bitIndex2)) | (v84(constB122, bitIndex2) <=> v123(constB122, bitIndex2))),
% 8.99/6.53 inference(modus_ponens,[status(thm)],[19733, 19732])).
% 8.99/6.53 tff(19735,plain,
% 8.99/6.53 (v84(constB122, bitIndex2) <=> v123(constB122, bitIndex2)),
% 8.99/6.53 inference(unit_resolution,[status(thm)],[19734, 832, 19731])).
% 8.99/6.53 tff(19736,plain,
% 8.99/6.53 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB121, constB122)) | ![B: $i] : ((~less_3(B)) | (v123(constB122, B) <=> v121(constB121, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB121, constB122)) | ![B: $i] : ((~less_3(B)) | (v123(constB122, B) <=> v121(constB121, B))))),
% 8.99/6.53 inference(rewrite,[status(thm)],[])).
% 8.99/6.53 tff(19737,plain,
% 8.99/6.53 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB121, constB122)) | ![B: $i] : ((~less_3(B)) | (v123(constB122, B) <=> v121(constB121, B))))),
% 8.99/6.53 inference(quant_inst,[status(thm)],[])).
% 8.99/6.53 tff(19738,plain,
% 8.99/6.53 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB121, constB122)) | ![B: $i] : ((~less_3(B)) | (v123(constB122, B) <=> v121(constB121, B)))),
% 8.99/6.53 inference(modus_ponens,[status(thm)],[19737, 19736])).
% 8.99/6.53 tff(19739,plain,
% 8.99/6.53 (![B: $i] : ((~less_3(B)) | (v123(constB122, B) <=> v121(constB121, B)))),
% 8.99/6.53 inference(unit_resolution,[status(thm)],[19738, 4201, 9924])).
% 8.99/6.53 tff(19740,plain,
% 8.99/6.53 (((~![B: $i] : ((~less_3(B)) | (v123(constB122, B) <=> v121(constB121, B)))) | ((~less_3(bitIndex2)) | (v123(constB122, bitIndex2) <=> v121(constB121, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB122, B) <=> v121(constB121, B)))) | (~less_3(bitIndex2)) | (v123(constB122, bitIndex2) <=> v121(constB121, bitIndex2)))),
% 8.99/6.53 inference(rewrite,[status(thm)],[])).
% 8.99/6.53 tff(19741,plain,
% 8.99/6.53 ((~![B: $i] : ((~less_3(B)) | (v123(constB122, B) <=> v121(constB121, B)))) | ((~less_3(bitIndex2)) | (v123(constB122, bitIndex2) <=> v121(constB121, bitIndex2)))),
% 8.99/6.53 inference(quant_inst,[status(thm)],[])).
% 8.99/6.53 tff(19742,plain,
% 8.99/6.53 ((~![B: $i] : ((~less_3(B)) | (v123(constB122, B) <=> v121(constB121, B)))) | (~less_3(bitIndex2)) | (v123(constB122, bitIndex2) <=> v121(constB121, bitIndex2))),
% 8.99/6.53 inference(modus_ponens,[status(thm)],[19741, 19740])).
% 8.99/6.53 tff(19743,plain,
% 8.99/6.53 (v123(constB122, bitIndex2) <=> v121(constB121, bitIndex2)),
% 8.99/6.53 inference(unit_resolution,[status(thm)],[19742, 832, 19739])).
% 8.99/6.53 tff(19744,plain,
% 8.99/6.53 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB121) | ![B: $i] : ((~less_3(B)) | (v121(constB121, B) <=> v124(constB121, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB121) | ![B: $i] : ((~less_3(B)) | (v121(constB121, B) <=> v124(constB121, B))))),
% 8.99/6.53 inference(rewrite,[status(thm)],[])).
% 8.99/6.53 tff(19745,plain,
% 8.99/6.53 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB121) | ![B: $i] : ((~less_3(B)) | (v121(constB121, B) <=> v124(constB121, B))))),
% 8.99/6.53 inference(quant_inst,[status(thm)],[])).
% 8.99/6.53 tff(19746,plain,
% 8.99/6.53 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB121) | ![B: $i] : ((~less_3(B)) | (v121(constB121, B) <=> v124(constB121, B)))),
% 8.99/6.53 inference(modus_ponens,[status(thm)],[19745, 19744])).
% 8.99/6.53 tff(19747,plain,
% 8.99/6.53 (![B: $i] : ((~less_3(B)) | (v121(constB121, B) <=> v124(constB121, B)))),
% 8.99/6.53 inference(unit_resolution,[status(thm)],[19746, 9945, 19708])).
% 8.99/6.53 tff(19748,plain,
% 8.99/6.53 (((~![B: $i] : ((~less_3(B)) | (v121(constB121, B) <=> v124(constB121, B)))) | ((~less_3(bitIndex2)) | (v121(constB121, bitIndex2) <=> v124(constB121, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB121, B) <=> v124(constB121, B)))) | (~less_3(bitIndex2)) | (v121(constB121, bitIndex2) <=> v124(constB121, bitIndex2)))),
% 8.99/6.53 inference(rewrite,[status(thm)],[])).
% 8.99/6.53 tff(19749,plain,
% 8.99/6.53 ((~![B: $i] : ((~less_3(B)) | (v121(constB121, B) <=> v124(constB121, B)))) | ((~less_3(bitIndex2)) | (v121(constB121, bitIndex2) <=> v124(constB121, bitIndex2)))),
% 8.99/6.53 inference(quant_inst,[status(thm)],[])).
% 8.99/6.53 tff(19750,plain,
% 8.99/6.53 ((~![B: $i] : ((~less_3(B)) | (v121(constB121, B) <=> v124(constB121, B)))) | (~less_3(bitIndex2)) | (v121(constB121, bitIndex2) <=> v124(constB121, bitIndex2))),
% 8.99/6.53 inference(modus_ponens,[status(thm)],[19749, 19748])).
% 8.99/6.53 tff(19751,plain,
% 8.99/6.53 (v121(constB121, bitIndex2) <=> v124(constB121, bitIndex2)),
% 8.99/6.53 inference(unit_resolution,[status(thm)],[19750, 832, 19747])).
% 8.99/6.53 tff(19752,plain,
% 8.99/6.53 ((~![VarCurr: $i] : (v113(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))))) | (v113(constB121) <=> (~(v84(constB121, bitIndex0) | v84(constB121, bitIndex1) | v84(constB121, bitIndex2))))),
% 8.99/6.53 inference(quant_inst,[status(thm)],[])).
% 8.99/6.53 tff(19753,plain,
% 8.99/6.53 (v113(constB121) <=> (~(v84(constB121, bitIndex0) | v84(constB121, bitIndex1) | v84(constB121, bitIndex2)))),
% 8.99/6.53 inference(unit_resolution,[status(thm)],[19752, 9739])).
% 8.99/6.53 tff(19754,plain,
% 8.99/6.53 ((v84(constB121, bitIndex0) | v84(constB121, bitIndex1) | v84(constB121, bitIndex2)) | (~v84(constB121, bitIndex2))),
% 8.99/6.53 inference(tautology,[status(thm)],[])).
% 8.99/6.53 tff(19755,plain,
% 8.99/6.53 (v84(constB121, bitIndex0) | v84(constB121, bitIndex1) | v84(constB121, bitIndex2)),
% 8.99/6.53 inference(unit_resolution,[status(thm)],[19754, 19629])).
% 8.99/6.53 tff(19756,plain,
% 8.99/6.53 ((~(v113(constB121) <=> (~(v84(constB121, bitIndex0) | v84(constB121, bitIndex1) | v84(constB121, bitIndex2))))) | (~v113(constB121)) | (~(v84(constB121, bitIndex0) | v84(constB121, bitIndex1) | v84(constB121, bitIndex2)))),
% 8.99/6.53 inference(tautology,[status(thm)],[])).
% 8.99/6.53 tff(19757,plain,
% 8.99/6.53 (~v113(constB121)),
% 8.99/6.53 inference(unit_resolution,[status(thm)],[19756, 19755, 19753])).
% 8.99/6.53 tff(19758,plain,
% 8.99/6.53 (((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB121) <=> (~((~v84(constB121, bitIndex2)) | v84(constB121, bitIndex1) | (~v84(constB121, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB121) <=> (~((~v84(constB121, bitIndex2)) | v84(constB121, bitIndex1) | (~v84(constB121, bitIndex0))))))),
% 8.99/6.53 inference(rewrite,[status(thm)],[])).
% 8.99/6.53 tff(19759,plain,
% 8.99/6.53 ((v118(constB121) <=> (~(v84(constB121, bitIndex1) | (~v84(constB121, bitIndex0)) | (~v84(constB121, bitIndex2))))) <=> (v118(constB121) <=> (~((~v84(constB121, bitIndex2)) | v84(constB121, bitIndex1) | (~v84(constB121, bitIndex0)))))),
% 8.99/6.53 inference(rewrite,[status(thm)],[])).
% 8.99/6.53 tff(19760,plain,
% 8.99/6.53 (((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB121) <=> (~(v84(constB121, bitIndex1) | (~v84(constB121, bitIndex0)) | (~v84(constB121, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB121) <=> (~((~v84(constB121, bitIndex2)) | v84(constB121, bitIndex1) | (~v84(constB121, bitIndex0))))))),
% 8.99/6.53 inference(monotonicity,[status(thm)],[19759])).
% 8.99/6.53 tff(19761,plain,
% 8.99/6.53 (((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB121) <=> (~(v84(constB121, bitIndex1) | (~v84(constB121, bitIndex0)) | (~v84(constB121, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB121) <=> (~((~v84(constB121, bitIndex2)) | v84(constB121, bitIndex1) | (~v84(constB121, bitIndex0))))))),
% 8.99/6.53 inference(transitivity,[status(thm)],[19760, 19758])).
% 8.99/6.53 tff(19762,plain,
% 8.99/6.53 ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB121) <=> (~(v84(constB121, bitIndex1) | (~v84(constB121, bitIndex0)) | (~v84(constB121, bitIndex2)))))),
% 8.99/6.53 inference(quant_inst,[status(thm)],[])).
% 8.99/6.53 tff(19763,plain,
% 8.99/6.53 ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB121) <=> (~((~v84(constB121, bitIndex2)) | v84(constB121, bitIndex1) | (~v84(constB121, bitIndex0)))))),
% 8.99/6.53 inference(modus_ponens,[status(thm)],[19762, 19761])).
% 8.99/6.53 tff(19764,plain,
% 8.99/6.53 (v118(constB121) <=> (~((~v84(constB121, bitIndex2)) | v84(constB121, bitIndex1) | (~v84(constB121, bitIndex0))))),
% 8.99/6.53 inference(unit_resolution,[status(thm)],[19763, 960])).
% 8.99/6.53 tff(19765,plain,
% 8.99/6.53 (((~v84(constB121, bitIndex2)) | v84(constB121, bitIndex1) | (~v84(constB121, bitIndex0))) | (~v84(constB121, bitIndex1))),
% 8.99/6.53 inference(tautology,[status(thm)],[])).
% 8.99/6.53 tff(19766,plain,
% 8.99/6.53 ((~v84(constB121, bitIndex2)) | v84(constB121, bitIndex1) | (~v84(constB121, bitIndex0))),
% 8.99/6.53 inference(unit_resolution,[status(thm)],[19765, 19691])).
% 8.99/6.53 tff(19767,plain,
% 8.99/6.53 ((~(v118(constB121) <=> (~((~v84(constB121, bitIndex2)) | v84(constB121, bitIndex1) | (~v84(constB121, bitIndex0)))))) | (~v118(constB121)) | (~((~v84(constB121, bitIndex2)) | v84(constB121, bitIndex1) | (~v84(constB121, bitIndex0))))),
% 8.99/6.53 inference(tautology,[status(thm)],[])).
% 8.99/6.53 tff(19768,plain,
% 8.99/6.53 (~v118(constB121)),
% 8.99/6.53 inference(unit_resolution,[status(thm)],[19767, 19766, 19764])).
% 8.99/6.53 tff(19769,plain,
% 8.99/6.53 (((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB121) <=> (~((~v84(constB121, bitIndex2)) | v84(constB121, bitIndex1) | v84(constB121, bitIndex0))))) <=> ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB121) <=> (~((~v84(constB121, bitIndex2)) | v84(constB121, bitIndex1) | v84(constB121, bitIndex0)))))),
% 8.99/6.53 inference(rewrite,[status(thm)],[])).
% 8.99/6.53 tff(19770,plain,
% 8.99/6.53 ((v117(constB121) <=> (~(v84(constB121, bitIndex0) | v84(constB121, bitIndex1) | (~v84(constB121, bitIndex2))))) <=> (v117(constB121) <=> (~((~v84(constB121, bitIndex2)) | v84(constB121, bitIndex1) | v84(constB121, bitIndex0))))),
% 8.99/6.53 inference(rewrite,[status(thm)],[])).
% 8.99/6.53 tff(19771,plain,
% 8.99/6.53 (((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB121) <=> (~(v84(constB121, bitIndex0) | v84(constB121, bitIndex1) | (~v84(constB121, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB121) <=> (~((~v84(constB121, bitIndex2)) | v84(constB121, bitIndex1) | v84(constB121, bitIndex0)))))),
% 8.99/6.53 inference(monotonicity,[status(thm)],[19770])).
% 8.99/6.53 tff(19772,plain,
% 8.99/6.53 (((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB121) <=> (~(v84(constB121, bitIndex0) | v84(constB121, bitIndex1) | (~v84(constB121, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB121) <=> (~((~v84(constB121, bitIndex2)) | v84(constB121, bitIndex1) | v84(constB121, bitIndex0)))))),
% 8.99/6.53 inference(transitivity,[status(thm)],[19771, 19769])).
% 8.99/6.53 tff(19773,plain,
% 8.99/6.53 ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB121) <=> (~(v84(constB121, bitIndex0) | v84(constB121, bitIndex1) | (~v84(constB121, bitIndex2)))))),
% 8.99/6.53 inference(quant_inst,[status(thm)],[])).
% 8.99/6.53 tff(19774,plain,
% 8.99/6.53 ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB121) <=> (~((~v84(constB121, bitIndex2)) | v84(constB121, bitIndex1) | v84(constB121, bitIndex0))))),
% 8.99/6.53 inference(modus_ponens,[status(thm)],[19773, 19772])).
% 8.99/6.53 tff(19775,plain,
% 8.99/6.53 (v117(constB121) <=> (~((~v84(constB121, bitIndex2)) | v84(constB121, bitIndex1) | v84(constB121, bitIndex0)))),
% 8.99/6.53 inference(unit_resolution,[status(thm)],[19774, 1071])).
% 8.99/6.53 tff(19776,plain,
% 8.99/6.53 (((~v84(constB121, bitIndex2)) | v84(constB121, bitIndex1) | v84(constB121, bitIndex0)) | (~v84(constB121, bitIndex1))),
% 8.99/6.53 inference(tautology,[status(thm)],[])).
% 8.99/6.53 tff(19777,plain,
% 8.99/6.53 ((~v84(constB121, bitIndex2)) | v84(constB121, bitIndex1) | v84(constB121, bitIndex0)),
% 8.99/6.53 inference(unit_resolution,[status(thm)],[19776, 19691])).
% 8.99/6.53 tff(19778,plain,
% 8.99/6.53 ((~(v117(constB121) <=> (~((~v84(constB121, bitIndex2)) | v84(constB121, bitIndex1) | v84(constB121, bitIndex0))))) | (~v117(constB121)) | (~((~v84(constB121, bitIndex2)) | v84(constB121, bitIndex1) | v84(constB121, bitIndex0)))),
% 8.99/6.53 inference(tautology,[status(thm)],[])).
% 8.99/6.53 tff(19779,plain,
% 8.99/6.53 (~v117(constB121)),
% 8.99/6.53 inference(unit_resolution,[status(thm)],[19778, 19777, 19775])).
% 8.99/6.53 tff(19780,plain,
% 8.99/6.53 ((~![VarCurr: $i] : (v116(VarCurr) <=> (~(v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex0)))))) | (v116(constB121) <=> (~(v84(constB121, bitIndex2) | (~v84(constB121, bitIndex1)) | (~v84(constB121, bitIndex0)))))),
% 8.99/6.53 inference(quant_inst,[status(thm)],[])).
% 8.99/6.53 tff(19781,plain,
% 8.99/6.53 (v116(constB121) <=> (~(v84(constB121, bitIndex2) | (~v84(constB121, bitIndex1)) | (~v84(constB121, bitIndex0))))),
% 8.99/6.53 inference(unit_resolution,[status(thm)],[19780, 1184])).
% 8.99/6.53 tff(19782,plain,
% 8.99/6.53 ((v84(constB121, bitIndex2) | (~v84(constB121, bitIndex1)) | (~v84(constB121, bitIndex0))) | (~v84(constB121, bitIndex2))),
% 8.99/6.53 inference(tautology,[status(thm)],[])).
% 8.99/6.53 tff(19783,plain,
% 8.99/6.53 (v84(constB121, bitIndex2) | (~v84(constB121, bitIndex1)) | (~v84(constB121, bitIndex0))),
% 8.99/6.53 inference(unit_resolution,[status(thm)],[19782, 19629])).
% 8.99/6.53 tff(19784,plain,
% 8.99/6.53 ((~(v116(constB121) <=> (~(v84(constB121, bitIndex2) | (~v84(constB121, bitIndex1)) | (~v84(constB121, bitIndex0)))))) | (~v116(constB121)) | (~(v84(constB121, bitIndex2) | (~v84(constB121, bitIndex1)) | (~v84(constB121, bitIndex0))))),
% 8.99/6.53 inference(tautology,[status(thm)],[])).
% 8.99/6.53 tff(19785,plain,
% 8.99/6.53 (~v116(constB121)),
% 8.99/6.53 inference(unit_resolution,[status(thm)],[19784, 19783, 19781])).
% 8.99/6.53 tff(19786,plain,
% 8.99/6.53 (((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB121) <=> (~(v84(constB121, bitIndex2) | (~v84(constB121, bitIndex1)) | v84(constB121, bitIndex0))))) <=> ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB121) <=> (~(v84(constB121, bitIndex2) | (~v84(constB121, bitIndex1)) | v84(constB121, bitIndex0)))))),
% 8.99/6.53 inference(rewrite,[status(thm)],[])).
% 8.99/6.53 tff(19787,plain,
% 8.99/6.53 ((v115(constB121) <=> (~(v84(constB121, bitIndex0) | v84(constB121, bitIndex2) | (~v84(constB121, bitIndex1))))) <=> (v115(constB121) <=> (~(v84(constB121, bitIndex2) | (~v84(constB121, bitIndex1)) | v84(constB121, bitIndex0))))),
% 8.99/6.53 inference(rewrite,[status(thm)],[])).
% 8.99/6.53 tff(19788,plain,
% 8.99/6.53 (((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB121) <=> (~(v84(constB121, bitIndex0) | v84(constB121, bitIndex2) | (~v84(constB121, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB121) <=> (~(v84(constB121, bitIndex2) | (~v84(constB121, bitIndex1)) | v84(constB121, bitIndex0)))))),
% 8.99/6.53 inference(monotonicity,[status(thm)],[19787])).
% 8.99/6.53 tff(19789,plain,
% 8.99/6.53 (((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB121) <=> (~(v84(constB121, bitIndex0) | v84(constB121, bitIndex2) | (~v84(constB121, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB121) <=> (~(v84(constB121, bitIndex2) | (~v84(constB121, bitIndex1)) | v84(constB121, bitIndex0)))))),
% 8.99/6.53 inference(transitivity,[status(thm)],[19788, 19786])).
% 8.99/6.53 tff(19790,plain,
% 8.99/6.53 ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB121) <=> (~(v84(constB121, bitIndex0) | v84(constB121, bitIndex2) | (~v84(constB121, bitIndex1)))))),
% 8.99/6.53 inference(quant_inst,[status(thm)],[])).
% 8.99/6.53 tff(19791,plain,
% 8.99/6.53 ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB121) <=> (~(v84(constB121, bitIndex2) | (~v84(constB121, bitIndex1)) | v84(constB121, bitIndex0))))),
% 8.99/6.53 inference(modus_ponens,[status(thm)],[19790, 19789])).
% 8.99/6.53 tff(19792,plain,
% 8.99/6.53 (v115(constB121) <=> (~(v84(constB121, bitIndex2) | (~v84(constB121, bitIndex1)) | v84(constB121, bitIndex0)))),
% 8.99/6.53 inference(unit_resolution,[status(thm)],[19791, 1294])).
% 8.99/6.53 tff(19793,plain,
% 8.99/6.53 ((v84(constB121, bitIndex2) | (~v84(constB121, bitIndex1)) | v84(constB121, bitIndex0)) | (~v84(constB121, bitIndex2))),
% 8.99/6.53 inference(tautology,[status(thm)],[])).
% 8.99/6.53 tff(19794,plain,
% 8.99/6.53 (v84(constB121, bitIndex2) | (~v84(constB121, bitIndex1)) | v84(constB121, bitIndex0)),
% 8.99/6.53 inference(unit_resolution,[status(thm)],[19793, 19629])).
% 8.99/6.53 tff(19795,plain,
% 8.99/6.53 ((~(v115(constB121) <=> (~(v84(constB121, bitIndex2) | (~v84(constB121, bitIndex1)) | v84(constB121, bitIndex0))))) | (~v115(constB121)) | (~(v84(constB121, bitIndex2) | (~v84(constB121, bitIndex1)) | v84(constB121, bitIndex0)))),
% 8.99/6.53 inference(tautology,[status(thm)],[])).
% 8.99/6.53 tff(19796,plain,
% 8.99/6.53 (~v115(constB121)),
% 8.99/6.53 inference(unit_resolution,[status(thm)],[19795, 19794, 19792])).
% 8.99/6.53 tff(19797,plain,
% 8.99/6.53 (((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB121) <=> (~(v84(constB121, bitIndex2) | v84(constB121, bitIndex1) | (~v84(constB121, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB121) <=> (~(v84(constB121, bitIndex2) | v84(constB121, bitIndex1) | (~v84(constB121, bitIndex0))))))),
% 8.99/6.53 inference(rewrite,[status(thm)],[])).
% 8.99/6.53 tff(19798,plain,
% 8.99/6.53 ((v114(constB121) <=> (~(v84(constB121, bitIndex1) | v84(constB121, bitIndex2) | (~v84(constB121, bitIndex0))))) <=> (v114(constB121) <=> (~(v84(constB121, bitIndex2) | v84(constB121, bitIndex1) | (~v84(constB121, bitIndex0)))))),
% 8.99/6.53 inference(rewrite,[status(thm)],[])).
% 8.99/6.53 tff(19799,plain,
% 8.99/6.53 (((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB121) <=> (~(v84(constB121, bitIndex1) | v84(constB121, bitIndex2) | (~v84(constB121, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB121) <=> (~(v84(constB121, bitIndex2) | v84(constB121, bitIndex1) | (~v84(constB121, bitIndex0))))))),
% 8.99/6.54 inference(monotonicity,[status(thm)],[19798])).
% 8.99/6.54 tff(19800,plain,
% 8.99/6.54 (((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB121) <=> (~(v84(constB121, bitIndex1) | v84(constB121, bitIndex2) | (~v84(constB121, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB121) <=> (~(v84(constB121, bitIndex2) | v84(constB121, bitIndex1) | (~v84(constB121, bitIndex0))))))),
% 8.99/6.54 inference(transitivity,[status(thm)],[19799, 19797])).
% 8.99/6.54 tff(19801,plain,
% 8.99/6.54 ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB121) <=> (~(v84(constB121, bitIndex1) | v84(constB121, bitIndex2) | (~v84(constB121, bitIndex0)))))),
% 8.99/6.54 inference(quant_inst,[status(thm)],[])).
% 8.99/6.54 tff(19802,plain,
% 8.99/6.54 ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB121) <=> (~(v84(constB121, bitIndex2) | v84(constB121, bitIndex1) | (~v84(constB121, bitIndex0)))))),
% 8.99/6.54 inference(modus_ponens,[status(thm)],[19801, 19800])).
% 8.99/6.54 tff(19803,plain,
% 8.99/6.54 (v114(constB121) <=> (~(v84(constB121, bitIndex2) | v84(constB121, bitIndex1) | (~v84(constB121, bitIndex0))))),
% 8.99/6.54 inference(unit_resolution,[status(thm)],[19802, 1411])).
% 8.99/6.54 tff(19804,plain,
% 8.99/6.54 ((v84(constB121, bitIndex2) | v84(constB121, bitIndex1) | (~v84(constB121, bitIndex0))) | (~v84(constB121, bitIndex2))),
% 8.99/6.54 inference(tautology,[status(thm)],[])).
% 8.99/6.54 tff(19805,plain,
% 8.99/6.54 (v84(constB121, bitIndex2) | v84(constB121, bitIndex1) | (~v84(constB121, bitIndex0))),
% 8.99/6.54 inference(unit_resolution,[status(thm)],[19804, 19629])).
% 8.99/6.54 tff(19806,plain,
% 8.99/6.54 ((~(v114(constB121) <=> (~(v84(constB121, bitIndex2) | v84(constB121, bitIndex1) | (~v84(constB121, bitIndex0)))))) | (~v114(constB121)) | (~(v84(constB121, bitIndex2) | v84(constB121, bitIndex1) | (~v84(constB121, bitIndex0))))),
% 8.99/6.54 inference(tautology,[status(thm)],[])).
% 8.99/6.54 tff(19807,plain,
% 8.99/6.54 (~v114(constB121)),
% 8.99/6.54 inference(unit_resolution,[status(thm)],[19806, 19805, 19803])).
% 8.99/6.54 tff(19808,plain,
% 8.99/6.54 (((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | (v113(constB121) | v114(constB121) | v115(constB121) | v116(constB121) | v117(constB121) | v118(constB121) | ![B: $i] : ((~less_3(B)) | (v124(constB121, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | v113(constB121) | v114(constB121) | v115(constB121) | v116(constB121) | v117(constB121) | v118(constB121) | ![B: $i] : ((~less_3(B)) | (v124(constB121, B) <=> b001(B))))),
% 8.99/6.54 inference(rewrite,[status(thm)],[])).
% 8.99/6.54 tff(19809,plain,
% 8.99/6.54 ((v118(constB121) | v117(constB121) | v116(constB121) | v115(constB121) | v114(constB121) | v113(constB121) | ![B: $i] : ((~less_3(B)) | (v124(constB121, B) <=> b001(B)))) <=> (v113(constB121) | v114(constB121) | v115(constB121) | v116(constB121) | v117(constB121) | v118(constB121) | ![B: $i] : ((~less_3(B)) | (v124(constB121, B) <=> b001(B))))),
% 8.99/6.54 inference(rewrite,[status(thm)],[])).
% 8.99/6.54 tff(19810,plain,
% 8.99/6.54 (((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | (v118(constB121) | v117(constB121) | v116(constB121) | v115(constB121) | v114(constB121) | v113(constB121) | ![B: $i] : ((~less_3(B)) | (v124(constB121, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | (v113(constB121) | v114(constB121) | v115(constB121) | v116(constB121) | v117(constB121) | v118(constB121) | ![B: $i] : ((~less_3(B)) | (v124(constB121, B) <=> b001(B)))))),
% 8.99/6.54 inference(monotonicity,[status(thm)],[19809])).
% 8.99/6.54 tff(19811,plain,
% 8.99/6.54 (((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | (v118(constB121) | v117(constB121) | v116(constB121) | v115(constB121) | v114(constB121) | v113(constB121) | ![B: $i] : ((~less_3(B)) | (v124(constB121, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | v113(constB121) | v114(constB121) | v115(constB121) | v116(constB121) | v117(constB121) | v118(constB121) | ![B: $i] : ((~less_3(B)) | (v124(constB121, B) <=> b001(B))))),
% 8.99/6.54 inference(transitivity,[status(thm)],[19810, 19808])).
% 8.99/6.54 tff(19812,plain,
% 8.99/6.54 ((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | (v118(constB121) | v117(constB121) | v116(constB121) | v115(constB121) | v114(constB121) | v113(constB121) | ![B: $i] : ((~less_3(B)) | (v124(constB121, B) <=> b001(B))))),
% 8.99/6.54 inference(quant_inst,[status(thm)],[])).
% 8.99/6.54 tff(19813,plain,
% 8.99/6.54 ((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | v113(constB121) | v114(constB121) | v115(constB121) | v116(constB121) | v117(constB121) | v118(constB121) | ![B: $i] : ((~less_3(B)) | (v124(constB121, B) <=> b001(B)))),
% 8.99/6.54 inference(modus_ponens,[status(thm)],[19812, 19811])).
% 8.99/6.54 tff(19814,plain,
% 8.99/6.54 (v113(constB121) | v114(constB121) | v115(constB121) | v116(constB121) | v117(constB121) | v118(constB121) | ![B: $i] : ((~less_3(B)) | (v124(constB121, B) <=> b001(B)))),
% 8.99/6.54 inference(unit_resolution,[status(thm)],[19813, 11068])).
% 8.99/6.54 tff(19815,plain,
% 8.99/6.54 (![B: $i] : ((~less_3(B)) | (v124(constB121, B) <=> b001(B)))),
% 8.99/6.54 inference(unit_resolution,[status(thm)],[19814, 19807, 19796, 19785, 19779, 19768, 19757])).
% 8.99/6.54 tff(19816,plain,
% 8.99/6.54 (((~![B: $i] : ((~less_3(B)) | (v124(constB121, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v124(constB121, bitIndex2) <=> b001(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB121, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v124(constB121, bitIndex2) <=> b001(bitIndex2)))),
% 8.99/6.54 inference(rewrite,[status(thm)],[])).
% 8.99/6.54 tff(19817,plain,
% 8.99/6.54 ((~![B: $i] : ((~less_3(B)) | (v124(constB121, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v124(constB121, bitIndex2) <=> b001(bitIndex2)))),
% 8.99/6.54 inference(quant_inst,[status(thm)],[])).
% 8.99/6.54 tff(19818,plain,
% 8.99/6.54 ((~![B: $i] : ((~less_3(B)) | (v124(constB121, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v124(constB121, bitIndex2) <=> b001(bitIndex2))),
% 8.99/6.54 inference(modus_ponens,[status(thm)],[19817, 19816])).
% 8.99/6.54 tff(19819,plain,
% 8.99/6.54 (v124(constB121, bitIndex2) <=> b001(bitIndex2)),
% 8.99/6.54 inference(unit_resolution,[status(thm)],[19818, 832, 19815])).
% 8.99/6.54 tff(19820,plain,
% 8.99/6.54 ((~(v124(constB121, bitIndex2) <=> b001(bitIndex2))) | (~v124(constB121, bitIndex2)) | b001(bitIndex2)),
% 8.99/6.54 inference(tautology,[status(thm)],[])).
% 8.99/6.54 tff(19821,plain,
% 8.99/6.54 ((~(v124(constB121, bitIndex2) <=> b001(bitIndex2))) | (~v124(constB121, bitIndex2))),
% 8.99/6.54 inference(unit_resolution,[status(thm)],[19820, 9977])).
% 8.99/6.54 tff(19822,plain,
% 8.99/6.54 (~v124(constB121, bitIndex2)),
% 8.99/6.54 inference(unit_resolution,[status(thm)],[19821, 19819])).
% 8.99/6.54 tff(19823,plain,
% 8.99/6.54 ((~(v121(constB121, bitIndex2) <=> v124(constB121, bitIndex2))) | (~v121(constB121, bitIndex2)) | v124(constB121, bitIndex2)),
% 8.99/6.54 inference(tautology,[status(thm)],[])).
% 8.99/6.54 tff(19824,plain,
% 8.99/6.54 (~v121(constB121, bitIndex2)),
% 8.99/6.54 inference(unit_resolution,[status(thm)],[19823, 19822, 19751])).
% 8.99/6.54 tff(19825,plain,
% 8.99/6.54 ((~(v123(constB122, bitIndex2) <=> v121(constB121, bitIndex2))) | (~v123(constB122, bitIndex2)) | v121(constB121, bitIndex2)),
% 8.99/6.54 inference(tautology,[status(thm)],[])).
% 8.99/6.54 tff(19826,plain,
% 8.99/6.54 (~v123(constB122, bitIndex2)),
% 8.99/6.54 inference(unit_resolution,[status(thm)],[19825, 19824, 19743])).
% 8.99/6.54 tff(19827,plain,
% 8.99/6.54 ((~(v84(constB122, bitIndex2) <=> v123(constB122, bitIndex2))) | (~v84(constB122, bitIndex2)) | v123(constB122, bitIndex2)),
% 8.99/6.54 inference(tautology,[status(thm)],[])).
% 8.99/6.54 tff(19828,plain,
% 8.99/6.54 (~v84(constB122, bitIndex2)),
% 8.99/6.54 inference(unit_resolution,[status(thm)],[19827, 19826, 19735])).
% 8.99/6.54 tff(19829,plain,
% 8.99/6.54 ((~(v84(constB123, bitIndex2) <=> v84(constB122, bitIndex2))) | (~v84(constB123, bitIndex2)) | v84(constB122, bitIndex2)),
% 8.99/6.54 inference(tautology,[status(thm)],[])).
% 8.99/6.54 tff(19830,plain,
% 8.99/6.54 (~v84(constB123, bitIndex2)),
% 8.99/6.54 inference(unit_resolution,[status(thm)],[19829, 19828, 4198])).
% 8.99/6.54 tff(19831,plain,
% 8.99/6.54 (((~![B: $i] : ((~less_3(B)) | (v84(constB123, B) <=> v84(constB122, B)))) | ((~less_3(bitIndex0)) | (v84(constB123, bitIndex0) <=> v84(constB122, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB123, B) <=> v84(constB122, B)))) | (~less_3(bitIndex0)) | (v84(constB123, bitIndex0) <=> v84(constB122, bitIndex0)))),
% 8.99/6.54 inference(rewrite,[status(thm)],[])).
% 8.99/6.54 tff(19832,plain,
% 8.99/6.54 ((~![B: $i] : ((~less_3(B)) | (v84(constB123, B) <=> v84(constB122, B)))) | ((~less_3(bitIndex0)) | (v84(constB123, bitIndex0) <=> v84(constB122, bitIndex0)))),
% 8.99/6.54 inference(quant_inst,[status(thm)],[])).
% 8.99/6.54 tff(19833,plain,
% 8.99/6.54 ((~![B: $i] : ((~less_3(B)) | (v84(constB123, B) <=> v84(constB122, B)))) | (~less_3(bitIndex0)) | (v84(constB123, bitIndex0) <=> v84(constB122, bitIndex0))),
% 8.99/6.54 inference(modus_ponens,[status(thm)],[19832, 19831])).
% 8.99/6.54 tff(19834,plain,
% 8.99/6.54 (v84(constB123, bitIndex0) <=> v84(constB122, bitIndex0)),
% 8.99/6.54 inference(unit_resolution,[status(thm)],[19833, 9772, 4194])).
% 8.99/6.54 tff(19835,plain,
% 8.99/6.54 (((~![B: $i] : ((~less_3(B)) | (v84(constB122, B) <=> v123(constB122, B)))) | ((~less_3(bitIndex0)) | (v84(constB122, bitIndex0) <=> v123(constB122, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB122, B) <=> v123(constB122, B)))) | (~less_3(bitIndex0)) | (v84(constB122, bitIndex0) <=> v123(constB122, bitIndex0)))),
% 8.99/6.54 inference(rewrite,[status(thm)],[])).
% 8.99/6.54 tff(19836,plain,
% 8.99/6.54 ((~![B: $i] : ((~less_3(B)) | (v84(constB122, B) <=> v123(constB122, B)))) | ((~less_3(bitIndex0)) | (v84(constB122, bitIndex0) <=> v123(constB122, bitIndex0)))),
% 8.99/6.54 inference(quant_inst,[status(thm)],[])).
% 8.99/6.54 tff(19837,plain,
% 8.99/6.54 ((~![B: $i] : ((~less_3(B)) | (v84(constB122, B) <=> v123(constB122, B)))) | (~less_3(bitIndex0)) | (v84(constB122, bitIndex0) <=> v123(constB122, bitIndex0))),
% 8.99/6.54 inference(modus_ponens,[status(thm)],[19836, 19835])).
% 8.99/6.54 tff(19838,plain,
% 8.99/6.54 (v84(constB122, bitIndex0) <=> v123(constB122, bitIndex0)),
% 8.99/6.54 inference(unit_resolution,[status(thm)],[19837, 9772, 19731])).
% 8.99/6.54 tff(19839,plain,
% 8.99/6.54 (((~![B: $i] : ((~less_3(B)) | (v123(constB122, B) <=> v121(constB121, B)))) | ((~less_3(bitIndex0)) | (v123(constB122, bitIndex0) <=> v121(constB121, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB122, B) <=> v121(constB121, B)))) | (~less_3(bitIndex0)) | (v123(constB122, bitIndex0) <=> v121(constB121, bitIndex0)))),
% 8.99/6.54 inference(rewrite,[status(thm)],[])).
% 8.99/6.54 tff(19840,plain,
% 8.99/6.54 ((~![B: $i] : ((~less_3(B)) | (v123(constB122, B) <=> v121(constB121, B)))) | ((~less_3(bitIndex0)) | (v123(constB122, bitIndex0) <=> v121(constB121, bitIndex0)))),
% 8.99/6.54 inference(quant_inst,[status(thm)],[])).
% 8.99/6.54 tff(19841,plain,
% 8.99/6.54 ((~![B: $i] : ((~less_3(B)) | (v123(constB122, B) <=> v121(constB121, B)))) | (~less_3(bitIndex0)) | (v123(constB122, bitIndex0) <=> v121(constB121, bitIndex0))),
% 8.99/6.54 inference(modus_ponens,[status(thm)],[19840, 19839])).
% 8.99/6.54 tff(19842,plain,
% 8.99/6.54 (v123(constB122, bitIndex0) <=> v121(constB121, bitIndex0)),
% 8.99/6.54 inference(unit_resolution,[status(thm)],[19841, 9772, 19739])).
% 8.99/6.54 tff(19843,plain,
% 8.99/6.54 (((~![B: $i] : ((~less_3(B)) | (v121(constB121, B) <=> v124(constB121, B)))) | ((~less_3(bitIndex0)) | (v121(constB121, bitIndex0) <=> v124(constB121, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB121, B) <=> v124(constB121, B)))) | (~less_3(bitIndex0)) | (v121(constB121, bitIndex0) <=> v124(constB121, bitIndex0)))),
% 8.99/6.54 inference(rewrite,[status(thm)],[])).
% 8.99/6.54 tff(19844,plain,
% 8.99/6.54 ((~![B: $i] : ((~less_3(B)) | (v121(constB121, B) <=> v124(constB121, B)))) | ((~less_3(bitIndex0)) | (v121(constB121, bitIndex0) <=> v124(constB121, bitIndex0)))),
% 8.99/6.54 inference(quant_inst,[status(thm)],[])).
% 8.99/6.54 tff(19845,plain,
% 8.99/6.54 ((~![B: $i] : ((~less_3(B)) | (v121(constB121, B) <=> v124(constB121, B)))) | (~less_3(bitIndex0)) | (v121(constB121, bitIndex0) <=> v124(constB121, bitIndex0))),
% 8.99/6.54 inference(modus_ponens,[status(thm)],[19844, 19843])).
% 8.99/6.54 tff(19846,plain,
% 8.99/6.54 (v121(constB121, bitIndex0) <=> v124(constB121, bitIndex0)),
% 8.99/6.54 inference(unit_resolution,[status(thm)],[19845, 9772, 19747])).
% 8.99/6.54 tff(19847,plain,
% 8.99/6.54 (((~![B: $i] : ((~less_3(B)) | (v124(constB121, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v124(constB121, bitIndex0) <=> b001(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB121, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v124(constB121, bitIndex0) <=> b001(bitIndex0)))),
% 8.99/6.54 inference(rewrite,[status(thm)],[])).
% 8.99/6.54 tff(19848,plain,
% 8.99/6.54 ((~![B: $i] : ((~less_3(B)) | (v124(constB121, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v124(constB121, bitIndex0) <=> b001(bitIndex0)))),
% 8.99/6.54 inference(quant_inst,[status(thm)],[])).
% 8.99/6.54 tff(19849,plain,
% 8.99/6.54 ((~![B: $i] : ((~less_3(B)) | (v124(constB121, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v124(constB121, bitIndex0) <=> b001(bitIndex0))),
% 8.99/6.54 inference(modus_ponens,[status(thm)],[19848, 19847])).
% 8.99/6.54 tff(19850,plain,
% 8.99/6.54 (v124(constB121, bitIndex0) <=> b001(bitIndex0)),
% 8.99/6.54 inference(unit_resolution,[status(thm)],[19849, 9772, 19815])).
% 8.99/6.54 tff(19851,plain,
% 8.99/6.54 ((~(v124(constB121, bitIndex0) <=> b001(bitIndex0))) | v124(constB121, bitIndex0) | (~b001(bitIndex0))),
% 8.99/6.54 inference(tautology,[status(thm)],[])).
% 8.99/6.54 tff(19852,plain,
% 8.99/6.54 ((~(v124(constB121, bitIndex0) <=> b001(bitIndex0))) | v124(constB121, bitIndex0)),
% 8.99/6.54 inference(unit_resolution,[status(thm)],[19851, 10011])).
% 8.99/6.54 tff(19853,plain,
% 8.99/6.54 (v124(constB121, bitIndex0)),
% 8.99/6.54 inference(unit_resolution,[status(thm)],[19852, 19850])).
% 8.99/6.54 tff(19854,plain,
% 8.99/6.54 ((~(v121(constB121, bitIndex0) <=> v124(constB121, bitIndex0))) | v121(constB121, bitIndex0) | (~v124(constB121, bitIndex0))),
% 8.99/6.54 inference(tautology,[status(thm)],[])).
% 8.99/6.54 tff(19855,plain,
% 8.99/6.54 (v121(constB121, bitIndex0)),
% 8.99/6.54 inference(unit_resolution,[status(thm)],[19854, 19853, 19846])).
% 8.99/6.54 tff(19856,plain,
% 8.99/6.54 ((~(v123(constB122, bitIndex0) <=> v121(constB121, bitIndex0))) | v123(constB122, bitIndex0) | (~v121(constB121, bitIndex0))),
% 8.99/6.54 inference(tautology,[status(thm)],[])).
% 8.99/6.54 tff(19857,plain,
% 8.99/6.54 (v123(constB122, bitIndex0)),
% 8.99/6.54 inference(unit_resolution,[status(thm)],[19856, 19855, 19842])).
% 8.99/6.54 tff(19858,plain,
% 8.99/6.54 ((~(v84(constB122, bitIndex0) <=> v123(constB122, bitIndex0))) | v84(constB122, bitIndex0) | (~v123(constB122, bitIndex0))),
% 8.99/6.54 inference(tautology,[status(thm)],[])).
% 8.99/6.54 tff(19859,plain,
% 8.99/6.54 (v84(constB122, bitIndex0)),
% 8.99/6.54 inference(unit_resolution,[status(thm)],[19858, 19857, 19838])).
% 8.99/6.54 tff(19860,plain,
% 8.99/6.54 ((~(v84(constB123, bitIndex0) <=> v84(constB122, bitIndex0))) | v84(constB123, bitIndex0) | (~v84(constB122, bitIndex0))),
% 8.99/6.54 inference(tautology,[status(thm)],[])).
% 8.99/6.54 tff(19861,plain,
% 8.99/6.54 (v84(constB123, bitIndex0)),
% 8.99/6.54 inference(unit_resolution,[status(thm)],[19860, 19859, 19834])).
% 8.99/6.54 tff(19862,plain,
% 8.99/6.54 (((~![B: $i] : ((~less_3(B)) | (v84(constB123, B) <=> v84(constB122, B)))) | ((~less_3(bitIndex1)) | (v84(constB123, bitIndex1) <=> v84(constB122, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB123, B) <=> v84(constB122, B)))) | (~less_3(bitIndex1)) | (v84(constB123, bitIndex1) <=> v84(constB122, bitIndex1)))),
% 8.99/6.54 inference(rewrite,[status(thm)],[])).
% 8.99/6.54 tff(19863,plain,
% 8.99/6.54 ((~![B: $i] : ((~less_3(B)) | (v84(constB123, B) <=> v84(constB122, B)))) | ((~less_3(bitIndex1)) | (v84(constB123, bitIndex1) <=> v84(constB122, bitIndex1)))),
% 8.99/6.54 inference(quant_inst,[status(thm)],[])).
% 8.99/6.54 tff(19864,plain,
% 8.99/6.54 ((~![B: $i] : ((~less_3(B)) | (v84(constB123, B) <=> v84(constB122, B)))) | (~less_3(bitIndex1)) | (v84(constB123, bitIndex1) <=> v84(constB122, bitIndex1))),
% 8.99/6.54 inference(modus_ponens,[status(thm)],[19863, 19862])).
% 8.99/6.54 tff(19865,plain,
% 8.99/6.54 (v84(constB123, bitIndex1) <=> v84(constB122, bitIndex1)),
% 8.99/6.54 inference(unit_resolution,[status(thm)],[19864, 9785, 4194])).
% 8.99/6.54 tff(19866,plain,
% 8.99/6.54 (((~![B: $i] : ((~less_3(B)) | (v84(constB122, B) <=> v123(constB122, B)))) | ((~less_3(bitIndex1)) | (v84(constB122, bitIndex1) <=> v123(constB122, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB122, B) <=> v123(constB122, B)))) | (~less_3(bitIndex1)) | (v84(constB122, bitIndex1) <=> v123(constB122, bitIndex1)))),
% 8.99/6.54 inference(rewrite,[status(thm)],[])).
% 8.99/6.54 tff(19867,plain,
% 8.99/6.54 ((~![B: $i] : ((~less_3(B)) | (v84(constB122, B) <=> v123(constB122, B)))) | ((~less_3(bitIndex1)) | (v84(constB122, bitIndex1) <=> v123(constB122, bitIndex1)))),
% 8.99/6.54 inference(quant_inst,[status(thm)],[])).
% 8.99/6.54 tff(19868,plain,
% 8.99/6.54 ((~![B: $i] : ((~less_3(B)) | (v84(constB122, B) <=> v123(constB122, B)))) | (~less_3(bitIndex1)) | (v84(constB122, bitIndex1) <=> v123(constB122, bitIndex1))),
% 8.99/6.54 inference(modus_ponens,[status(thm)],[19867, 19866])).
% 8.99/6.54 tff(19869,plain,
% 8.99/6.54 (v84(constB122, bitIndex1) <=> v123(constB122, bitIndex1)),
% 8.99/6.54 inference(unit_resolution,[status(thm)],[19868, 9785, 19731])).
% 8.99/6.54 tff(19870,plain,
% 8.99/6.54 (((~![B: $i] : ((~less_3(B)) | (v123(constB122, B) <=> v121(constB121, B)))) | ((~less_3(bitIndex1)) | (v123(constB122, bitIndex1) <=> v121(constB121, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB122, B) <=> v121(constB121, B)))) | (~less_3(bitIndex1)) | (v123(constB122, bitIndex1) <=> v121(constB121, bitIndex1)))),
% 8.99/6.54 inference(rewrite,[status(thm)],[])).
% 8.99/6.54 tff(19871,plain,
% 8.99/6.54 ((~![B: $i] : ((~less_3(B)) | (v123(constB122, B) <=> v121(constB121, B)))) | ((~less_3(bitIndex1)) | (v123(constB122, bitIndex1) <=> v121(constB121, bitIndex1)))),
% 8.99/6.54 inference(quant_inst,[status(thm)],[])).
% 8.99/6.54 tff(19872,plain,
% 8.99/6.54 ((~![B: $i] : ((~less_3(B)) | (v123(constB122, B) <=> v121(constB121, B)))) | (~less_3(bitIndex1)) | (v123(constB122, bitIndex1) <=> v121(constB121, bitIndex1))),
% 8.99/6.54 inference(modus_ponens,[status(thm)],[19871, 19870])).
% 8.99/6.54 tff(19873,plain,
% 8.99/6.54 (v123(constB122, bitIndex1) <=> v121(constB121, bitIndex1)),
% 8.99/6.54 inference(unit_resolution,[status(thm)],[19872, 9785, 19739])).
% 8.99/6.54 tff(19874,plain,
% 8.99/6.54 (((~![B: $i] : ((~less_3(B)) | (v121(constB121, B) <=> v124(constB121, B)))) | ((~less_3(bitIndex1)) | (v121(constB121, bitIndex1) <=> v124(constB121, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB121, B) <=> v124(constB121, B)))) | (~less_3(bitIndex1)) | (v121(constB121, bitIndex1) <=> v124(constB121, bitIndex1)))),
% 8.99/6.54 inference(rewrite,[status(thm)],[])).
% 8.99/6.54 tff(19875,plain,
% 8.99/6.54 ((~![B: $i] : ((~less_3(B)) | (v121(constB121, B) <=> v124(constB121, B)))) | ((~less_3(bitIndex1)) | (v121(constB121, bitIndex1) <=> v124(constB121, bitIndex1)))),
% 8.99/6.54 inference(quant_inst,[status(thm)],[])).
% 8.99/6.54 tff(19876,plain,
% 8.99/6.54 ((~![B: $i] : ((~less_3(B)) | (v121(constB121, B) <=> v124(constB121, B)))) | (~less_3(bitIndex1)) | (v121(constB121, bitIndex1) <=> v124(constB121, bitIndex1))),
% 8.99/6.54 inference(modus_ponens,[status(thm)],[19875, 19874])).
% 8.99/6.54 tff(19877,plain,
% 8.99/6.54 (v121(constB121, bitIndex1) <=> v124(constB121, bitIndex1)),
% 8.99/6.54 inference(unit_resolution,[status(thm)],[19876, 9785, 19747])).
% 8.99/6.54 tff(19878,plain,
% 8.99/6.54 (((~![B: $i] : ((~less_3(B)) | (v124(constB121, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v124(constB121, bitIndex1) <=> b001(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB121, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v124(constB121, bitIndex1) <=> b001(bitIndex1)))),
% 8.99/6.54 inference(rewrite,[status(thm)],[])).
% 8.99/6.54 tff(19879,plain,
% 8.99/6.54 ((~![B: $i] : ((~less_3(B)) | (v124(constB121, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v124(constB121, bitIndex1) <=> b001(bitIndex1)))),
% 8.99/6.54 inference(quant_inst,[status(thm)],[])).
% 8.99/6.54 tff(19880,plain,
% 8.99/6.54 ((~![B: $i] : ((~less_3(B)) | (v124(constB121, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v124(constB121, bitIndex1) <=> b001(bitIndex1))),
% 8.99/6.54 inference(modus_ponens,[status(thm)],[19879, 19878])).
% 8.99/6.54 tff(19881,plain,
% 8.99/6.54 (v124(constB121, bitIndex1) <=> b001(bitIndex1)),
% 8.99/6.54 inference(unit_resolution,[status(thm)],[19880, 9785, 19815])).
% 8.99/6.54 tff(19882,plain,
% 8.99/6.54 ((~(v124(constB121, bitIndex1) <=> b001(bitIndex1))) | (~v124(constB121, bitIndex1)) | b001(bitIndex1)),
% 8.99/6.54 inference(tautology,[status(thm)],[])).
% 8.99/6.54 tff(19883,plain,
% 8.99/6.54 ((~(v124(constB121, bitIndex1) <=> b001(bitIndex1))) | (~v124(constB121, bitIndex1))),
% 8.99/6.54 inference(unit_resolution,[status(thm)],[19882, 10045])).
% 8.99/6.54 tff(19884,plain,
% 8.99/6.54 (~v124(constB121, bitIndex1)),
% 8.99/6.54 inference(unit_resolution,[status(thm)],[19883, 19881])).
% 8.99/6.54 tff(19885,plain,
% 8.99/6.54 ((~(v121(constB121, bitIndex1) <=> v124(constB121, bitIndex1))) | (~v121(constB121, bitIndex1)) | v124(constB121, bitIndex1)),
% 8.99/6.54 inference(tautology,[status(thm)],[])).
% 8.99/6.54 tff(19886,plain,
% 8.99/6.54 (~v121(constB121, bitIndex1)),
% 8.99/6.54 inference(unit_resolution,[status(thm)],[19885, 19884, 19877])).
% 8.99/6.54 tff(19887,plain,
% 8.99/6.54 ((~(v123(constB122, bitIndex1) <=> v121(constB121, bitIndex1))) | (~v123(constB122, bitIndex1)) | v121(constB121, bitIndex1)),
% 8.99/6.54 inference(tautology,[status(thm)],[])).
% 8.99/6.54 tff(19888,plain,
% 8.99/6.54 (~v123(constB122, bitIndex1)),
% 8.99/6.54 inference(unit_resolution,[status(thm)],[19887, 19886, 19873])).
% 8.99/6.54 tff(19889,plain,
% 8.99/6.54 ((~(v84(constB122, bitIndex1) <=> v123(constB122, bitIndex1))) | (~v84(constB122, bitIndex1)) | v123(constB122, bitIndex1)),
% 8.99/6.54 inference(tautology,[status(thm)],[])).
% 8.99/6.54 tff(19890,plain,
% 8.99/6.54 (~v84(constB122, bitIndex1)),
% 8.99/6.54 inference(unit_resolution,[status(thm)],[19889, 19888, 19869])).
% 8.99/6.54 tff(19891,plain,
% 8.99/6.54 ((~(v84(constB123, bitIndex1) <=> v84(constB122, bitIndex1))) | (~v84(constB123, bitIndex1)) | v84(constB122, bitIndex1)),
% 8.99/6.54 inference(tautology,[status(thm)],[])).
% 8.99/6.54 tff(19892,plain,
% 8.99/6.54 (~v84(constB123, bitIndex1)),
% 8.99/6.54 inference(unit_resolution,[status(thm)],[19891, 19890, 19865])).
% 8.99/6.54 tff(19893,plain,
% 8.99/6.54 ((~(v84(constB123, bitIndex2) | v84(constB123, bitIndex1) | (~v84(constB123, bitIndex0)))) | v84(constB123, bitIndex2) | v84(constB123, bitIndex1) | (~v84(constB123, bitIndex0))),
% 8.99/6.54 inference(tautology,[status(thm)],[])).
% 8.99/6.54 tff(19894,plain,
% 8.99/6.54 (~(v84(constB123, bitIndex2) | v84(constB123, bitIndex1) | (~v84(constB123, bitIndex0)))),
% 8.99/6.54 inference(unit_resolution,[status(thm)],[19893, 19892, 19861, 19830])).
% 8.99/6.54 tff(19895,plain,
% 8.99/6.54 ((~(v114(constB123) <=> (~(v84(constB123, bitIndex2) | v84(constB123, bitIndex1) | (~v84(constB123, bitIndex0)))))) | v114(constB123) | (v84(constB123, bitIndex2) | v84(constB123, bitIndex1) | (~v84(constB123, bitIndex0)))),
% 8.99/6.54 inference(tautology,[status(thm)],[])).
% 8.99/6.54 tff(19896,plain,
% 8.99/6.54 (v114(constB123)),
% 8.99/6.54 inference(unit_resolution,[status(thm)],[19895, 19894, 4166])).
% 8.99/6.54 tff(19897,plain,
% 8.99/6.54 ((v113(constB123) | v114(constB123)) | (~v114(constB123))),
% 8.99/6.54 inference(tautology,[status(thm)],[])).
% 8.99/6.54 tff(19898,plain,
% 8.99/6.54 (v113(constB123) | v114(constB123)),
% 8.99/6.54 inference(unit_resolution,[status(thm)],[19897, 19896])).
% 8.99/6.54 tff(19899,plain,
% 8.99/6.54 ((~(v112(constB123) <=> (v113(constB123) | v114(constB123)))) | v112(constB123) | (~(v113(constB123) | v114(constB123)))),
% 8.99/6.54 inference(tautology,[status(thm)],[])).
% 8.99/6.54 tff(19900,plain,
% 8.99/6.54 (v112(constB123)),
% 8.99/6.54 inference(unit_resolution,[status(thm)],[19899, 19898, 4159])).
% 8.99/6.54 tff(19901,plain,
% 8.99/6.54 ((v112(constB123) | v115(constB123)) | (~v112(constB123))),
% 8.99/6.54 inference(tautology,[status(thm)],[])).
% 8.99/6.54 tff(19902,plain,
% 8.99/6.54 (v112(constB123) | v115(constB123)),
% 8.99/6.54 inference(unit_resolution,[status(thm)],[19901, 19900])).
% 8.99/6.54 tff(19903,plain,
% 8.99/6.54 ((~(v111(constB123) <=> (v112(constB123) | v115(constB123)))) | v111(constB123) | (~(v112(constB123) | v115(constB123)))),
% 8.99/6.54 inference(tautology,[status(thm)],[])).
% 8.99/6.54 tff(19904,plain,
% 8.99/6.54 (v111(constB123)),
% 8.99/6.54 inference(unit_resolution,[status(thm)],[19903, 19902, 4157])).
% 8.99/6.54 tff(19905,plain,
% 8.99/6.54 ((v111(constB123) | v116(constB123)) | (~v111(constB123))),
% 8.99/6.54 inference(tautology,[status(thm)],[])).
% 8.99/6.54 tff(19906,plain,
% 8.99/6.54 (v111(constB123) | v116(constB123)),
% 8.99/6.54 inference(unit_resolution,[status(thm)],[19905, 19904])).
% 8.99/6.54 tff(19907,plain,
% 8.99/6.54 ((~(v110(constB123) <=> (v111(constB123) | v116(constB123)))) | v110(constB123) | (~(v111(constB123) | v116(constB123)))),
% 8.99/6.54 inference(tautology,[status(thm)],[])).
% 8.99/6.54 tff(19908,plain,
% 8.99/6.54 (v110(constB123)),
% 8.99/6.54 inference(unit_resolution,[status(thm)],[19907, 19906, 4155])).
% 8.99/6.54 tff(19909,plain,
% 8.99/6.54 ((v110(constB123) | v117(constB123)) | (~v110(constB123))),
% 8.99/6.54 inference(tautology,[status(thm)],[])).
% 8.99/6.54 tff(19910,plain,
% 8.99/6.54 (v110(constB123) | v117(constB123)),
% 8.99/6.54 inference(unit_resolution,[status(thm)],[19909, 19908])).
% 8.99/6.54 tff(19911,plain,
% 8.99/6.54 ((~(v109(constB123) <=> (v110(constB123) | v117(constB123)))) | v109(constB123) | (~(v110(constB123) | v117(constB123)))),
% 8.99/6.54 inference(tautology,[status(thm)],[])).
% 8.99/6.54 tff(19912,plain,
% 8.99/6.54 (v109(constB123)),
% 8.99/6.54 inference(unit_resolution,[status(thm)],[19911, 19910, 4153])).
% 8.99/6.54 tff(19913,plain,
% 8.99/6.54 ((v109(constB123) | v118(constB123)) | (~v109(constB123))),
% 8.99/6.54 inference(tautology,[status(thm)],[])).
% 8.99/6.54 tff(19914,plain,
% 8.99/6.54 (v109(constB123) | v118(constB123)),
% 8.99/6.54 inference(unit_resolution,[status(thm)],[19913, 19912])).
% 8.99/6.54 tff(19915,plain,
% 8.99/6.54 ((~(v108(constB123) <=> (v109(constB123) | v118(constB123)))) | v108(constB123) | (~(v109(constB123) | v118(constB123)))),
% 8.99/6.54 inference(tautology,[status(thm)],[])).
% 8.99/6.54 tff(19916,plain,
% 8.99/6.54 (v108(constB123)),
% 8.99/6.54 inference(unit_resolution,[status(thm)],[19915, 19914, 4151])).
% 8.99/6.54 tff(19917,plain,
% 8.99/6.54 ((v108(constB123) | v119(constB123)) | (~v108(constB123))),
% 8.99/6.54 inference(tautology,[status(thm)],[])).
% 8.99/6.54 tff(19918,plain,
% 8.99/6.54 (v108(constB123) | v119(constB123)),
% 8.99/6.54 inference(unit_resolution,[status(thm)],[19917, 19916])).
% 8.99/6.54 tff(19919,plain,
% 8.99/6.54 ((~(v107(constB123) <=> (v108(constB123) | v119(constB123)))) | v107(constB123) | (~(v108(constB123) | v119(constB123)))),
% 8.99/6.54 inference(tautology,[status(thm)],[])).
% 8.99/6.54 tff(19920,plain,
% 8.99/6.54 (v107(constB123)),
% 8.99/6.54 inference(unit_resolution,[status(thm)],[19919, 19918, 4149])).
% 8.99/6.54 tff(19921,plain,
% 8.99/6.54 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB123)) <=> v105(constB123))),
% 8.99/6.54 inference(quant_inst,[status(thm)],[])).
% 8.99/6.54 tff(19922,plain,
% 8.99/6.54 ((~v120(constB123)) <=> v105(constB123)),
% 8.99/6.54 inference(unit_resolution,[status(thm)],[19921, 9842])).
% 8.99/6.54 tff(19923,plain,
% 8.99/6.54 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB123) <=> v26(constB123))),
% 8.99/6.54 inference(quant_inst,[status(thm)],[])).
% 8.99/6.54 tff(19924,plain,
% 8.99/6.54 (v105(constB123) <=> v26(constB123)),
% 8.99/6.54 inference(unit_resolution,[status(thm)],[19923, 9854])).
% 8.99/6.54 tff(19925,plain,
% 8.99/6.54 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB123))),
% 8.99/6.54 inference(quant_inst,[status(thm)],[])).
% 8.99/6.54 tff(19926,plain,
% 8.99/6.54 (~v26(constB123)),
% 8.99/6.54 inference(unit_resolution,[status(thm)],[19925, 9866])).
% 8.99/6.54 tff(19927,plain,
% 8.99/6.54 ((~(v105(constB123) <=> v26(constB123))) | (~v105(constB123)) | v26(constB123)),
% 8.99/6.54 inference(tautology,[status(thm)],[])).
% 8.99/6.54 tff(19928,plain,
% 8.99/6.54 ((~(v105(constB123) <=> v26(constB123))) | (~v105(constB123))),
% 8.99/6.54 inference(unit_resolution,[status(thm)],[19927, 19926])).
% 8.99/6.54 tff(19929,plain,
% 8.99/6.54 (~v105(constB123)),
% 8.99/6.54 inference(unit_resolution,[status(thm)],[19928, 19924])).
% 8.99/6.54 tff(19930,plain,
% 8.99/6.54 ((~((~v120(constB123)) <=> v105(constB123))) | v120(constB123) | v105(constB123)),
% 8.99/6.54 inference(tautology,[status(thm)],[])).
% 8.99/6.54 tff(19931,plain,
% 8.99/6.54 ((~((~v120(constB123)) <=> v105(constB123))) | v120(constB123)),
% 8.99/6.54 inference(unit_resolution,[status(thm)],[19930, 19929])).
% 8.99/6.54 tff(19932,plain,
% 8.99/6.54 (v120(constB123)),
% 8.99/6.54 inference(unit_resolution,[status(thm)],[19931, 19922])).
% 8.99/6.54 tff(19933,plain,
% 8.99/6.54 ((~((~v107(constB123)) | (~v120(constB123)))) | (~v107(constB123)) | (~v120(constB123))),
% 8.99/6.54 inference(tautology,[status(thm)],[])).
% 8.99/6.54 tff(19934,plain,
% 8.99/6.54 ((~((~v107(constB123)) | (~v120(constB123)))) | (~v107(constB123))),
% 8.99/6.54 inference(unit_resolution,[status(thm)],[19933, 19932])).
% 8.99/6.54 tff(19935,plain,
% 8.99/6.54 (~((~v107(constB123)) | (~v120(constB123)))),
% 8.99/6.54 inference(unit_resolution,[status(thm)],[19934, 19920])).
% 8.99/6.54 tff(19936,plain,
% 8.99/6.54 ((~(v106(constB123) <=> (~((~v107(constB123)) | (~v120(constB123)))))) | v106(constB123) | ((~v107(constB123)) | (~v120(constB123)))),
% 8.99/6.54 inference(tautology,[status(thm)],[])).
% 8.99/6.54 tff(19937,plain,
% 8.99/6.54 (v106(constB123)),
% 8.99/6.54 inference(unit_resolution,[status(thm)],[19936, 19935, 4147])).
% 8.99/6.54 tff(19938,plain,
% 8.99/6.54 ((v105(constB123) | v106(constB123)) | (~v106(constB123))),
% 8.99/6.54 inference(tautology,[status(thm)],[])).
% 8.99/6.54 tff(19939,plain,
% 8.99/6.54 (v105(constB123) | v106(constB123)),
% 8.99/6.54 inference(unit_resolution,[status(thm)],[19938, 19937])).
% 8.99/6.54 tff(19940,plain,
% 8.99/6.54 ((~(v102(constB123) <=> (v105(constB123) | v106(constB123)))) | v102(constB123) | (~(v105(constB123) | v106(constB123)))),
% 8.99/6.54 inference(tautology,[status(thm)],[])).
% 8.99/6.54 tff(19941,plain,
% 8.99/6.54 (v102(constB123)),
% 8.99/6.54 inference(unit_resolution,[status(thm)],[19940, 19939, 4145])).
% 8.99/6.54 tff(19942,plain,
% 8.99/6.54 ((~(v104(constB124) <=> v102(constB123))) | v104(constB124) | (~v102(constB123))),
% 8.99/6.54 inference(tautology,[status(thm)],[])).
% 8.99/6.54 tff(19943,plain,
% 8.99/6.54 (v104(constB124)),
% 8.99/6.54 inference(unit_resolution,[status(thm)],[19942, 19941, 4143])).
% 8.99/6.54 tff(19944,plain,
% 8.99/6.54 ((~((~v104(constB124)) | (~v95(constB124)))) | (~v104(constB124)) | (~v95(constB124))),
% 8.99/6.54 inference(tautology,[status(thm)],[])).
% 8.99/6.54 tff(19945,plain,
% 8.99/6.54 (~((~v104(constB124)) | (~v95(constB124)))),
% 8.99/6.54 inference(unit_resolution,[status(thm)],[19944, 19943, 4139])).
% 8.99/6.54 tff(19946,plain,
% 8.99/6.54 ((~(v94(constB124) <=> (~((~v104(constB124)) | (~v95(constB124)))))) | v94(constB124) | ((~v104(constB124)) | (~v95(constB124)))),
% 8.99/6.54 inference(tautology,[status(thm)],[])).
% 8.99/6.54 tff(19947,plain,
% 8.99/6.54 (v94(constB124)),
% 8.99/6.54 inference(unit_resolution,[status(thm)],[19946, 19945, 4108])).
% 8.99/6.54 tff(19948,plain,
% 8.99/6.54 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB124)) | ![B: $i] : ((~less_3(B)) | (v84(constB124, B) <=> v123(constB124, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB124)) | ![B: $i] : ((~less_3(B)) | (v84(constB124, B) <=> v123(constB124, B))))),
% 8.99/6.54 inference(rewrite,[status(thm)],[])).
% 8.99/6.54 tff(19949,plain,
% 8.99/6.54 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB124)) | ![B: $i] : ((~less_3(B)) | (v84(constB124, B) <=> v123(constB124, B))))),
% 8.99/6.54 inference(quant_inst,[status(thm)],[])).
% 8.99/6.54 tff(19950,plain,
% 8.99/6.54 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB124)) | ![B: $i] : ((~less_3(B)) | (v84(constB124, B) <=> v123(constB124, B)))),
% 8.99/6.54 inference(modus_ponens,[status(thm)],[19949, 19948])).
% 8.99/6.54 tff(19951,plain,
% 8.99/6.54 ((~v94(constB124)) | ![B: $i] : ((~less_3(B)) | (v84(constB124, B) <=> v123(constB124, B)))),
% 8.99/6.54 inference(unit_resolution,[status(thm)],[19950, 9902])).
% 8.99/6.54 tff(19952,plain,
% 8.99/6.54 (![B: $i] : ((~less_3(B)) | (v84(constB124, B) <=> v123(constB124, B)))),
% 8.99/6.54 inference(unit_resolution,[status(thm)],[19951, 19947])).
% 8.99/6.54 tff(19953,plain,
% 8.99/6.54 (((~![B: $i] : ((~less_3(B)) | (v84(constB124, B) <=> v123(constB124, B)))) | ((~less_3(bitIndex2)) | (v84(constB124, bitIndex2) <=> v123(constB124, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB124, B) <=> v123(constB124, B)))) | (~less_3(bitIndex2)) | (v84(constB124, bitIndex2) <=> v123(constB124, bitIndex2)))),
% 8.99/6.54 inference(rewrite,[status(thm)],[])).
% 8.99/6.54 tff(19954,plain,
% 8.99/6.54 ((~![B: $i] : ((~less_3(B)) | (v84(constB124, B) <=> v123(constB124, B)))) | ((~less_3(bitIndex2)) | (v84(constB124, bitIndex2) <=> v123(constB124, bitIndex2)))),
% 8.99/6.54 inference(quant_inst,[status(thm)],[])).
% 8.99/6.54 tff(19955,plain,
% 8.99/6.54 ((~![B: $i] : ((~less_3(B)) | (v84(constB124, B) <=> v123(constB124, B)))) | (~less_3(bitIndex2)) | (v84(constB124, bitIndex2) <=> v123(constB124, bitIndex2))),
% 8.99/6.54 inference(modus_ponens,[status(thm)],[19954, 19953])).
% 8.99/6.54 tff(19956,plain,
% 8.99/6.54 (v84(constB124, bitIndex2) <=> v123(constB124, bitIndex2)),
% 8.99/6.54 inference(unit_resolution,[status(thm)],[19955, 832, 19952])).
% 8.99/6.54 tff(19957,plain,
% 8.99/6.54 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB123, constB124)) | ![B: $i] : ((~less_3(B)) | (v123(constB124, B) <=> v121(constB123, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB123, constB124)) | ![B: $i] : ((~less_3(B)) | (v123(constB124, B) <=> v121(constB123, B))))),
% 8.99/6.54 inference(rewrite,[status(thm)],[])).
% 8.99/6.54 tff(19958,plain,
% 8.99/6.54 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB123, constB124)) | ![B: $i] : ((~less_3(B)) | (v123(constB124, B) <=> v121(constB123, B))))),
% 8.99/6.54 inference(quant_inst,[status(thm)],[])).
% 8.99/6.54 tff(19959,plain,
% 8.99/6.54 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB123, constB124)) | ![B: $i] : ((~less_3(B)) | (v123(constB124, B) <=> v121(constB123, B)))),
% 8.99/6.54 inference(modus_ponens,[status(thm)],[19958, 19957])).
% 8.99/6.54 tff(19960,plain,
% 8.99/6.54 (![B: $i] : ((~less_3(B)) | (v123(constB124, B) <=> v121(constB123, B)))),
% 8.99/6.54 inference(unit_resolution,[status(thm)],[19959, 4104, 9924])).
% 8.99/6.54 tff(19961,plain,
% 8.99/6.54 (((~![B: $i] : ((~less_3(B)) | (v123(constB124, B) <=> v121(constB123, B)))) | ((~less_3(bitIndex2)) | (v123(constB124, bitIndex2) <=> v121(constB123, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB124, B) <=> v121(constB123, B)))) | (~less_3(bitIndex2)) | (v123(constB124, bitIndex2) <=> v121(constB123, bitIndex2)))),
% 8.99/6.54 inference(rewrite,[status(thm)],[])).
% 8.99/6.54 tff(19962,plain,
% 8.99/6.54 ((~![B: $i] : ((~less_3(B)) | (v123(constB124, B) <=> v121(constB123, B)))) | ((~less_3(bitIndex2)) | (v123(constB124, bitIndex2) <=> v121(constB123, bitIndex2)))),
% 8.99/6.54 inference(quant_inst,[status(thm)],[])).
% 8.99/6.54 tff(19963,plain,
% 8.99/6.54 ((~![B: $i] : ((~less_3(B)) | (v123(constB124, B) <=> v121(constB123, B)))) | (~less_3(bitIndex2)) | (v123(constB124, bitIndex2) <=> v121(constB123, bitIndex2))),
% 8.99/6.54 inference(modus_ponens,[status(thm)],[19962, 19961])).
% 8.99/6.54 tff(19964,plain,
% 8.99/6.54 (v123(constB124, bitIndex2) <=> v121(constB123, bitIndex2)),
% 8.99/6.54 inference(unit_resolution,[status(thm)],[19963, 832, 19960])).
% 8.99/6.54 tff(19965,plain,
% 8.99/6.54 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB123) | ![B: $i] : ((~less_3(B)) | (v121(constB123, B) <=> v124(constB123, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB123) | ![B: $i] : ((~less_3(B)) | (v121(constB123, B) <=> v124(constB123, B))))),
% 8.99/6.54 inference(rewrite,[status(thm)],[])).
% 8.99/6.54 tff(19966,plain,
% 8.99/6.54 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB123) | ![B: $i] : ((~less_3(B)) | (v121(constB123, B) <=> v124(constB123, B))))),
% 8.99/6.54 inference(quant_inst,[status(thm)],[])).
% 8.99/6.54 tff(19967,plain,
% 8.99/6.54 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB123) | ![B: $i] : ((~less_3(B)) | (v121(constB123, B) <=> v124(constB123, B)))),
% 8.99/6.54 inference(modus_ponens,[status(thm)],[19966, 19965])).
% 8.99/6.54 tff(19968,plain,
% 8.99/6.54 (![B: $i] : ((~less_3(B)) | (v121(constB123, B) <=> v124(constB123, B)))),
% 8.99/6.54 inference(unit_resolution,[status(thm)],[19967, 9945, 19929])).
% 8.99/6.54 tff(19969,plain,
% 8.99/6.54 (((~![B: $i] : ((~less_3(B)) | (v121(constB123, B) <=> v124(constB123, B)))) | ((~less_3(bitIndex2)) | (v121(constB123, bitIndex2) <=> v124(constB123, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB123, B) <=> v124(constB123, B)))) | (~less_3(bitIndex2)) | (v121(constB123, bitIndex2) <=> v124(constB123, bitIndex2)))),
% 8.99/6.54 inference(rewrite,[status(thm)],[])).
% 8.99/6.54 tff(19970,plain,
% 8.99/6.54 ((~![B: $i] : ((~less_3(B)) | (v121(constB123, B) <=> v124(constB123, B)))) | ((~less_3(bitIndex2)) | (v121(constB123, bitIndex2) <=> v124(constB123, bitIndex2)))),
% 8.99/6.54 inference(quant_inst,[status(thm)],[])).
% 8.99/6.54 tff(19971,plain,
% 8.99/6.54 ((~![B: $i] : ((~less_3(B)) | (v121(constB123, B) <=> v124(constB123, B)))) | (~less_3(bitIndex2)) | (v121(constB123, bitIndex2) <=> v124(constB123, bitIndex2))),
% 8.99/6.55 inference(modus_ponens,[status(thm)],[19970, 19969])).
% 8.99/6.55 tff(19972,plain,
% 8.99/6.55 (v121(constB123, bitIndex2) <=> v124(constB123, bitIndex2)),
% 8.99/6.55 inference(unit_resolution,[status(thm)],[19971, 832, 19968])).
% 8.99/6.55 tff(19973,plain,
% 8.99/6.55 (((~![VarCurr: $i] : ((~v114(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b010(B))))) | ((~v114(constB123)) | ![B: $i] : ((~less_3(B)) | (v124(constB123, B) <=> b010(B))))) <=> ((~![VarCurr: $i] : ((~v114(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b010(B))))) | (~v114(constB123)) | ![B: $i] : ((~less_3(B)) | (v124(constB123, B) <=> b010(B))))),
% 8.99/6.55 inference(rewrite,[status(thm)],[])).
% 8.99/6.55 tff(19974,plain,
% 8.99/6.55 ((~![VarCurr: $i] : ((~v114(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b010(B))))) | ((~v114(constB123)) | ![B: $i] : ((~less_3(B)) | (v124(constB123, B) <=> b010(B))))),
% 8.99/6.55 inference(quant_inst,[status(thm)],[])).
% 8.99/6.55 tff(19975,plain,
% 8.99/6.55 ((~![VarCurr: $i] : ((~v114(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b010(B))))) | (~v114(constB123)) | ![B: $i] : ((~less_3(B)) | (v124(constB123, B) <=> b010(B)))),
% 8.99/6.55 inference(modus_ponens,[status(thm)],[19974, 19973])).
% 8.99/6.55 tff(19976,plain,
% 8.99/6.55 ((~v114(constB123)) | ![B: $i] : ((~less_3(B)) | (v124(constB123, B) <=> b010(B)))),
% 8.99/6.55 inference(unit_resolution,[status(thm)],[19975, 10149])).
% 8.99/6.55 tff(19977,plain,
% 8.99/6.55 (![B: $i] : ((~less_3(B)) | (v124(constB123, B) <=> b010(B)))),
% 8.99/6.55 inference(unit_resolution,[status(thm)],[19976, 19896])).
% 8.99/6.55 tff(19978,plain,
% 8.99/6.55 (((~![B: $i] : ((~less_3(B)) | (v124(constB123, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v124(constB123, bitIndex2) <=> b010(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB123, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v124(constB123, bitIndex2) <=> b010(bitIndex2)))),
% 8.99/6.55 inference(rewrite,[status(thm)],[])).
% 8.99/6.55 tff(19979,plain,
% 8.99/6.55 ((~![B: $i] : ((~less_3(B)) | (v124(constB123, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v124(constB123, bitIndex2) <=> b010(bitIndex2)))),
% 8.99/6.55 inference(quant_inst,[status(thm)],[])).
% 8.99/6.55 tff(19980,plain,
% 8.99/6.55 ((~![B: $i] : ((~less_3(B)) | (v124(constB123, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v124(constB123, bitIndex2) <=> b010(bitIndex2))),
% 8.99/6.55 inference(modus_ponens,[status(thm)],[19979, 19978])).
% 8.99/6.55 tff(19981,plain,
% 8.99/6.55 (v124(constB123, bitIndex2) <=> b010(bitIndex2)),
% 8.99/6.55 inference(unit_resolution,[status(thm)],[19980, 832, 19977])).
% 8.99/6.55 tff(19982,plain,
% 8.99/6.55 ((~(v124(constB123, bitIndex2) <=> b010(bitIndex2))) | (~v124(constB123, bitIndex2)) | b010(bitIndex2)),
% 8.99/6.55 inference(tautology,[status(thm)],[])).
% 8.99/6.55 tff(19983,plain,
% 8.99/6.55 ((~(v124(constB123, bitIndex2) <=> b010(bitIndex2))) | (~v124(constB123, bitIndex2))),
% 8.99/6.55 inference(unit_resolution,[status(thm)],[19982, 10161])).
% 8.99/6.55 tff(19984,plain,
% 8.99/6.55 (~v124(constB123, bitIndex2)),
% 8.99/6.55 inference(unit_resolution,[status(thm)],[19983, 19981])).
% 8.99/6.55 tff(19985,plain,
% 8.99/6.55 ((~(v121(constB123, bitIndex2) <=> v124(constB123, bitIndex2))) | (~v121(constB123, bitIndex2)) | v124(constB123, bitIndex2)),
% 8.99/6.55 inference(tautology,[status(thm)],[])).
% 8.99/6.55 tff(19986,plain,
% 8.99/6.55 (~v121(constB123, bitIndex2)),
% 8.99/6.55 inference(unit_resolution,[status(thm)],[19985, 19984, 19972])).
% 8.99/6.55 tff(19987,plain,
% 8.99/6.55 ((~(v123(constB124, bitIndex2) <=> v121(constB123, bitIndex2))) | (~v123(constB124, bitIndex2)) | v121(constB123, bitIndex2)),
% 8.99/6.55 inference(tautology,[status(thm)],[])).
% 8.99/6.55 tff(19988,plain,
% 8.99/6.55 (~v123(constB124, bitIndex2)),
% 8.99/6.55 inference(unit_resolution,[status(thm)],[19987, 19986, 19964])).
% 8.99/6.55 tff(19989,plain,
% 8.99/6.55 ((~(v84(constB124, bitIndex2) <=> v123(constB124, bitIndex2))) | (~v84(constB124, bitIndex2)) | v123(constB124, bitIndex2)),
% 8.99/6.55 inference(tautology,[status(thm)],[])).
% 8.99/6.55 tff(19990,plain,
% 8.99/6.55 (~v84(constB124, bitIndex2)),
% 8.99/6.55 inference(unit_resolution,[status(thm)],[19989, 19988, 19956])).
% 8.99/6.55 tff(19991,plain,
% 8.99/6.55 ((~(v84(constB125, bitIndex2) <=> v84(constB124, bitIndex2))) | (~v84(constB125, bitIndex2)) | v84(constB124, bitIndex2)),
% 8.99/6.55 inference(tautology,[status(thm)],[])).
% 8.99/6.55 tff(19992,plain,
% 8.99/6.55 (~v84(constB125, bitIndex2)),
% 8.99/6.55 inference(unit_resolution,[status(thm)],[19991, 19990, 4101])).
% 8.99/6.55 tff(19993,plain,
% 8.99/6.55 (((~![B: $i] : ((~less_3(B)) | (v84(constB125, B) <=> v84(constB124, B)))) | ((~less_3(bitIndex0)) | (v84(constB125, bitIndex0) <=> v84(constB124, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB125, B) <=> v84(constB124, B)))) | (~less_3(bitIndex0)) | (v84(constB125, bitIndex0) <=> v84(constB124, bitIndex0)))),
% 8.99/6.55 inference(rewrite,[status(thm)],[])).
% 8.99/6.55 tff(19994,plain,
% 8.99/6.55 ((~![B: $i] : ((~less_3(B)) | (v84(constB125, B) <=> v84(constB124, B)))) | ((~less_3(bitIndex0)) | (v84(constB125, bitIndex0) <=> v84(constB124, bitIndex0)))),
% 8.99/6.55 inference(quant_inst,[status(thm)],[])).
% 8.99/6.55 tff(19995,plain,
% 8.99/6.55 ((~![B: $i] : ((~less_3(B)) | (v84(constB125, B) <=> v84(constB124, B)))) | (~less_3(bitIndex0)) | (v84(constB125, bitIndex0) <=> v84(constB124, bitIndex0))),
% 8.99/6.55 inference(modus_ponens,[status(thm)],[19994, 19993])).
% 8.99/6.55 tff(19996,plain,
% 8.99/6.55 (v84(constB125, bitIndex0) <=> v84(constB124, bitIndex0)),
% 8.99/6.55 inference(unit_resolution,[status(thm)],[19995, 9772, 4097])).
% 8.99/6.55 tff(19997,plain,
% 8.99/6.55 (((~![B: $i] : ((~less_3(B)) | (v84(constB124, B) <=> v123(constB124, B)))) | ((~less_3(bitIndex0)) | (v84(constB124, bitIndex0) <=> v123(constB124, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB124, B) <=> v123(constB124, B)))) | (~less_3(bitIndex0)) | (v84(constB124, bitIndex0) <=> v123(constB124, bitIndex0)))),
% 8.99/6.55 inference(rewrite,[status(thm)],[])).
% 8.99/6.55 tff(19998,plain,
% 8.99/6.55 ((~![B: $i] : ((~less_3(B)) | (v84(constB124, B) <=> v123(constB124, B)))) | ((~less_3(bitIndex0)) | (v84(constB124, bitIndex0) <=> v123(constB124, bitIndex0)))),
% 8.99/6.55 inference(quant_inst,[status(thm)],[])).
% 8.99/6.55 tff(19999,plain,
% 8.99/6.55 ((~![B: $i] : ((~less_3(B)) | (v84(constB124, B) <=> v123(constB124, B)))) | (~less_3(bitIndex0)) | (v84(constB124, bitIndex0) <=> v123(constB124, bitIndex0))),
% 8.99/6.55 inference(modus_ponens,[status(thm)],[19998, 19997])).
% 8.99/6.55 tff(20000,plain,
% 8.99/6.55 (v84(constB124, bitIndex0) <=> v123(constB124, bitIndex0)),
% 8.99/6.55 inference(unit_resolution,[status(thm)],[19999, 9772, 19952])).
% 8.99/6.55 tff(20001,plain,
% 8.99/6.55 (((~![B: $i] : ((~less_3(B)) | (v123(constB124, B) <=> v121(constB123, B)))) | ((~less_3(bitIndex0)) | (v123(constB124, bitIndex0) <=> v121(constB123, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB124, B) <=> v121(constB123, B)))) | (~less_3(bitIndex0)) | (v123(constB124, bitIndex0) <=> v121(constB123, bitIndex0)))),
% 8.99/6.55 inference(rewrite,[status(thm)],[])).
% 8.99/6.55 tff(20002,plain,
% 8.99/6.55 ((~![B: $i] : ((~less_3(B)) | (v123(constB124, B) <=> v121(constB123, B)))) | ((~less_3(bitIndex0)) | (v123(constB124, bitIndex0) <=> v121(constB123, bitIndex0)))),
% 8.99/6.55 inference(quant_inst,[status(thm)],[])).
% 8.99/6.55 tff(20003,plain,
% 8.99/6.55 ((~![B: $i] : ((~less_3(B)) | (v123(constB124, B) <=> v121(constB123, B)))) | (~less_3(bitIndex0)) | (v123(constB124, bitIndex0) <=> v121(constB123, bitIndex0))),
% 8.99/6.55 inference(modus_ponens,[status(thm)],[20002, 20001])).
% 8.99/6.55 tff(20004,plain,
% 8.99/6.55 (v123(constB124, bitIndex0) <=> v121(constB123, bitIndex0)),
% 8.99/6.55 inference(unit_resolution,[status(thm)],[20003, 9772, 19960])).
% 8.99/6.55 tff(20005,plain,
% 8.99/6.55 (((~![B: $i] : ((~less_3(B)) | (v121(constB123, B) <=> v124(constB123, B)))) | ((~less_3(bitIndex0)) | (v121(constB123, bitIndex0) <=> v124(constB123, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB123, B) <=> v124(constB123, B)))) | (~less_3(bitIndex0)) | (v121(constB123, bitIndex0) <=> v124(constB123, bitIndex0)))),
% 8.99/6.55 inference(rewrite,[status(thm)],[])).
% 8.99/6.55 tff(20006,plain,
% 8.99/6.55 ((~![B: $i] : ((~less_3(B)) | (v121(constB123, B) <=> v124(constB123, B)))) | ((~less_3(bitIndex0)) | (v121(constB123, bitIndex0) <=> v124(constB123, bitIndex0)))),
% 8.99/6.55 inference(quant_inst,[status(thm)],[])).
% 8.99/6.55 tff(20007,plain,
% 8.99/6.55 ((~![B: $i] : ((~less_3(B)) | (v121(constB123, B) <=> v124(constB123, B)))) | (~less_3(bitIndex0)) | (v121(constB123, bitIndex0) <=> v124(constB123, bitIndex0))),
% 8.99/6.55 inference(modus_ponens,[status(thm)],[20006, 20005])).
% 8.99/6.55 tff(20008,plain,
% 8.99/6.55 (v121(constB123, bitIndex0) <=> v124(constB123, bitIndex0)),
% 8.99/6.55 inference(unit_resolution,[status(thm)],[20007, 9772, 19968])).
% 8.99/6.55 tff(20009,plain,
% 8.99/6.55 (((~![B: $i] : ((~less_3(B)) | (v124(constB123, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v124(constB123, bitIndex0) <=> b010(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB123, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v124(constB123, bitIndex0) <=> b010(bitIndex0)))),
% 8.99/6.55 inference(rewrite,[status(thm)],[])).
% 8.99/6.55 tff(20010,plain,
% 8.99/6.55 ((~![B: $i] : ((~less_3(B)) | (v124(constB123, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v124(constB123, bitIndex0) <=> b010(bitIndex0)))),
% 8.99/6.55 inference(quant_inst,[status(thm)],[])).
% 8.99/6.55 tff(20011,plain,
% 8.99/6.55 ((~![B: $i] : ((~less_3(B)) | (v124(constB123, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v124(constB123, bitIndex0) <=> b010(bitIndex0))),
% 8.99/6.55 inference(modus_ponens,[status(thm)],[20010, 20009])).
% 8.99/6.55 tff(20012,plain,
% 8.99/6.55 (v124(constB123, bitIndex0) <=> b010(bitIndex0)),
% 8.99/6.55 inference(unit_resolution,[status(thm)],[20011, 9772, 19977])).
% 8.99/6.55 tff(20013,plain,
% 8.99/6.55 ((~(v124(constB123, bitIndex0) <=> b010(bitIndex0))) | (~v124(constB123, bitIndex0)) | b010(bitIndex0)),
% 8.99/6.55 inference(tautology,[status(thm)],[])).
% 8.99/6.55 tff(20014,plain,
% 8.99/6.55 ((~(v124(constB123, bitIndex0) <=> b010(bitIndex0))) | (~v124(constB123, bitIndex0))),
% 8.99/6.55 inference(unit_resolution,[status(thm)],[20013, 10195])).
% 8.99/6.55 tff(20015,plain,
% 8.99/6.55 (~v124(constB123, bitIndex0)),
% 8.99/6.55 inference(unit_resolution,[status(thm)],[20014, 20012])).
% 8.99/6.55 tff(20016,plain,
% 8.99/6.55 ((~(v121(constB123, bitIndex0) <=> v124(constB123, bitIndex0))) | (~v121(constB123, bitIndex0)) | v124(constB123, bitIndex0)),
% 8.99/6.55 inference(tautology,[status(thm)],[])).
% 8.99/6.55 tff(20017,plain,
% 8.99/6.55 (~v121(constB123, bitIndex0)),
% 8.99/6.55 inference(unit_resolution,[status(thm)],[20016, 20015, 20008])).
% 8.99/6.55 tff(20018,plain,
% 8.99/6.55 ((~(v123(constB124, bitIndex0) <=> v121(constB123, bitIndex0))) | (~v123(constB124, bitIndex0)) | v121(constB123, bitIndex0)),
% 8.99/6.55 inference(tautology,[status(thm)],[])).
% 8.99/6.55 tff(20019,plain,
% 8.99/6.55 (~v123(constB124, bitIndex0)),
% 8.99/6.55 inference(unit_resolution,[status(thm)],[20018, 20017, 20004])).
% 8.99/6.55 tff(20020,plain,
% 8.99/6.55 ((~(v84(constB124, bitIndex0) <=> v123(constB124, bitIndex0))) | (~v84(constB124, bitIndex0)) | v123(constB124, bitIndex0)),
% 8.99/6.55 inference(tautology,[status(thm)],[])).
% 8.99/6.55 tff(20021,plain,
% 8.99/6.55 (~v84(constB124, bitIndex0)),
% 8.99/6.55 inference(unit_resolution,[status(thm)],[20020, 20019, 20000])).
% 8.99/6.55 tff(20022,plain,
% 8.99/6.55 ((~(v84(constB125, bitIndex0) <=> v84(constB124, bitIndex0))) | (~v84(constB125, bitIndex0)) | v84(constB124, bitIndex0)),
% 8.99/6.55 inference(tautology,[status(thm)],[])).
% 8.99/6.55 tff(20023,plain,
% 8.99/6.55 (~v84(constB125, bitIndex0)),
% 8.99/6.55 inference(unit_resolution,[status(thm)],[20022, 20021, 19996])).
% 8.99/6.55 tff(20024,plain,
% 8.99/6.55 (((~![B: $i] : ((~less_3(B)) | (v84(constB125, B) <=> v84(constB124, B)))) | ((~less_3(bitIndex1)) | (v84(constB125, bitIndex1) <=> v84(constB124, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB125, B) <=> v84(constB124, B)))) | (~less_3(bitIndex1)) | (v84(constB125, bitIndex1) <=> v84(constB124, bitIndex1)))),
% 8.99/6.55 inference(rewrite,[status(thm)],[])).
% 8.99/6.55 tff(20025,plain,
% 8.99/6.55 ((~![B: $i] : ((~less_3(B)) | (v84(constB125, B) <=> v84(constB124, B)))) | ((~less_3(bitIndex1)) | (v84(constB125, bitIndex1) <=> v84(constB124, bitIndex1)))),
% 8.99/6.55 inference(quant_inst,[status(thm)],[])).
% 8.99/6.55 tff(20026,plain,
% 8.99/6.55 ((~![B: $i] : ((~less_3(B)) | (v84(constB125, B) <=> v84(constB124, B)))) | (~less_3(bitIndex1)) | (v84(constB125, bitIndex1) <=> v84(constB124, bitIndex1))),
% 8.99/6.55 inference(modus_ponens,[status(thm)],[20025, 20024])).
% 8.99/6.55 tff(20027,plain,
% 8.99/6.55 (v84(constB125, bitIndex1) <=> v84(constB124, bitIndex1)),
% 8.99/6.55 inference(unit_resolution,[status(thm)],[20026, 9785, 4097])).
% 8.99/6.55 tff(20028,plain,
% 8.99/6.55 (((~![B: $i] : ((~less_3(B)) | (v84(constB124, B) <=> v123(constB124, B)))) | ((~less_3(bitIndex1)) | (v84(constB124, bitIndex1) <=> v123(constB124, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB124, B) <=> v123(constB124, B)))) | (~less_3(bitIndex1)) | (v84(constB124, bitIndex1) <=> v123(constB124, bitIndex1)))),
% 8.99/6.55 inference(rewrite,[status(thm)],[])).
% 8.99/6.55 tff(20029,plain,
% 8.99/6.55 ((~![B: $i] : ((~less_3(B)) | (v84(constB124, B) <=> v123(constB124, B)))) | ((~less_3(bitIndex1)) | (v84(constB124, bitIndex1) <=> v123(constB124, bitIndex1)))),
% 8.99/6.55 inference(quant_inst,[status(thm)],[])).
% 8.99/6.55 tff(20030,plain,
% 8.99/6.55 ((~![B: $i] : ((~less_3(B)) | (v84(constB124, B) <=> v123(constB124, B)))) | (~less_3(bitIndex1)) | (v84(constB124, bitIndex1) <=> v123(constB124, bitIndex1))),
% 8.99/6.55 inference(modus_ponens,[status(thm)],[20029, 20028])).
% 8.99/6.55 tff(20031,plain,
% 8.99/6.55 (v84(constB124, bitIndex1) <=> v123(constB124, bitIndex1)),
% 8.99/6.55 inference(unit_resolution,[status(thm)],[20030, 9785, 19952])).
% 8.99/6.55 tff(20032,plain,
% 8.99/6.55 (((~![B: $i] : ((~less_3(B)) | (v123(constB124, B) <=> v121(constB123, B)))) | ((~less_3(bitIndex1)) | (v123(constB124, bitIndex1) <=> v121(constB123, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB124, B) <=> v121(constB123, B)))) | (~less_3(bitIndex1)) | (v123(constB124, bitIndex1) <=> v121(constB123, bitIndex1)))),
% 8.99/6.55 inference(rewrite,[status(thm)],[])).
% 8.99/6.55 tff(20033,plain,
% 8.99/6.55 ((~![B: $i] : ((~less_3(B)) | (v123(constB124, B) <=> v121(constB123, B)))) | ((~less_3(bitIndex1)) | (v123(constB124, bitIndex1) <=> v121(constB123, bitIndex1)))),
% 8.99/6.55 inference(quant_inst,[status(thm)],[])).
% 8.99/6.55 tff(20034,plain,
% 8.99/6.55 ((~![B: $i] : ((~less_3(B)) | (v123(constB124, B) <=> v121(constB123, B)))) | (~less_3(bitIndex1)) | (v123(constB124, bitIndex1) <=> v121(constB123, bitIndex1))),
% 8.99/6.55 inference(modus_ponens,[status(thm)],[20033, 20032])).
% 8.99/6.55 tff(20035,plain,
% 8.99/6.55 (v123(constB124, bitIndex1) <=> v121(constB123, bitIndex1)),
% 8.99/6.55 inference(unit_resolution,[status(thm)],[20034, 9785, 19960])).
% 8.99/6.55 tff(20036,plain,
% 8.99/6.55 (((~![B: $i] : ((~less_3(B)) | (v121(constB123, B) <=> v124(constB123, B)))) | ((~less_3(bitIndex1)) | (v121(constB123, bitIndex1) <=> v124(constB123, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB123, B) <=> v124(constB123, B)))) | (~less_3(bitIndex1)) | (v121(constB123, bitIndex1) <=> v124(constB123, bitIndex1)))),
% 8.99/6.55 inference(rewrite,[status(thm)],[])).
% 8.99/6.55 tff(20037,plain,
% 8.99/6.55 ((~![B: $i] : ((~less_3(B)) | (v121(constB123, B) <=> v124(constB123, B)))) | ((~less_3(bitIndex1)) | (v121(constB123, bitIndex1) <=> v124(constB123, bitIndex1)))),
% 8.99/6.55 inference(quant_inst,[status(thm)],[])).
% 8.99/6.55 tff(20038,plain,
% 8.99/6.55 ((~![B: $i] : ((~less_3(B)) | (v121(constB123, B) <=> v124(constB123, B)))) | (~less_3(bitIndex1)) | (v121(constB123, bitIndex1) <=> v124(constB123, bitIndex1))),
% 8.99/6.55 inference(modus_ponens,[status(thm)],[20037, 20036])).
% 8.99/6.55 tff(20039,plain,
% 8.99/6.55 (v121(constB123, bitIndex1) <=> v124(constB123, bitIndex1)),
% 8.99/6.55 inference(unit_resolution,[status(thm)],[20038, 9785, 19968])).
% 8.99/6.55 tff(20040,plain,
% 8.99/6.55 (((~![B: $i] : ((~less_3(B)) | (v124(constB123, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v124(constB123, bitIndex1) <=> b010(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB123, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v124(constB123, bitIndex1) <=> b010(bitIndex1)))),
% 8.99/6.55 inference(rewrite,[status(thm)],[])).
% 8.99/6.55 tff(20041,plain,
% 8.99/6.55 ((~![B: $i] : ((~less_3(B)) | (v124(constB123, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v124(constB123, bitIndex1) <=> b010(bitIndex1)))),
% 8.99/6.55 inference(quant_inst,[status(thm)],[])).
% 8.99/6.55 tff(20042,plain,
% 8.99/6.55 ((~![B: $i] : ((~less_3(B)) | (v124(constB123, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v124(constB123, bitIndex1) <=> b010(bitIndex1))),
% 8.99/6.55 inference(modus_ponens,[status(thm)],[20041, 20040])).
% 8.99/6.55 tff(20043,plain,
% 8.99/6.55 (v124(constB123, bitIndex1) <=> b010(bitIndex1)),
% 8.99/6.55 inference(unit_resolution,[status(thm)],[20042, 9785, 19977])).
% 8.99/6.55 tff(20044,plain,
% 8.99/6.55 ((~(v124(constB123, bitIndex1) <=> b010(bitIndex1))) | v124(constB123, bitIndex1) | (~b010(bitIndex1))),
% 8.99/6.55 inference(tautology,[status(thm)],[])).
% 8.99/6.55 tff(20045,plain,
% 8.99/6.55 ((~(v124(constB123, bitIndex1) <=> b010(bitIndex1))) | v124(constB123, bitIndex1)),
% 8.99/6.55 inference(unit_resolution,[status(thm)],[20044, 10229])).
% 8.99/6.55 tff(20046,plain,
% 8.99/6.55 (v124(constB123, bitIndex1)),
% 8.99/6.55 inference(unit_resolution,[status(thm)],[20045, 20043])).
% 8.99/6.55 tff(20047,plain,
% 8.99/6.55 ((~(v121(constB123, bitIndex1) <=> v124(constB123, bitIndex1))) | v121(constB123, bitIndex1) | (~v124(constB123, bitIndex1))),
% 8.99/6.55 inference(tautology,[status(thm)],[])).
% 8.99/6.55 tff(20048,plain,
% 8.99/6.55 (v121(constB123, bitIndex1)),
% 8.99/6.55 inference(unit_resolution,[status(thm)],[20047, 20046, 20039])).
% 8.99/6.55 tff(20049,plain,
% 8.99/6.55 ((~(v123(constB124, bitIndex1) <=> v121(constB123, bitIndex1))) | v123(constB124, bitIndex1) | (~v121(constB123, bitIndex1))),
% 8.99/6.55 inference(tautology,[status(thm)],[])).
% 8.99/6.55 tff(20050,plain,
% 8.99/6.55 (v123(constB124, bitIndex1)),
% 8.99/6.55 inference(unit_resolution,[status(thm)],[20049, 20048, 20035])).
% 8.99/6.55 tff(20051,plain,
% 8.99/6.55 ((~(v84(constB124, bitIndex1) <=> v123(constB124, bitIndex1))) | v84(constB124, bitIndex1) | (~v123(constB124, bitIndex1))),
% 8.99/6.55 inference(tautology,[status(thm)],[])).
% 8.99/6.55 tff(20052,plain,
% 8.99/6.55 (v84(constB124, bitIndex1)),
% 8.99/6.55 inference(unit_resolution,[status(thm)],[20051, 20050, 20031])).
% 8.99/6.55 tff(20053,plain,
% 8.99/6.55 ((~(v84(constB125, bitIndex1) <=> v84(constB124, bitIndex1))) | v84(constB125, bitIndex1) | (~v84(constB124, bitIndex1))),
% 8.99/6.55 inference(tautology,[status(thm)],[])).
% 8.99/6.55 tff(20054,plain,
% 8.99/6.55 (v84(constB125, bitIndex1)),
% 8.99/6.55 inference(unit_resolution,[status(thm)],[20053, 20052, 20027])).
% 8.99/6.55 tff(20055,plain,
% 8.99/6.55 ((~(v84(constB125, bitIndex2) | (~v84(constB125, bitIndex1)) | v84(constB125, bitIndex0))) | v84(constB125, bitIndex2) | (~v84(constB125, bitIndex1)) | v84(constB125, bitIndex0)),
% 8.99/6.55 inference(tautology,[status(thm)],[])).
% 8.99/6.55 tff(20056,plain,
% 8.99/6.55 (~(v84(constB125, bitIndex2) | (~v84(constB125, bitIndex1)) | v84(constB125, bitIndex0))),
% 8.99/6.55 inference(unit_resolution,[status(thm)],[20055, 20054, 20023, 19992])).
% 8.99/6.55 tff(20057,plain,
% 8.99/6.55 ((~(v115(constB125) <=> (~(v84(constB125, bitIndex2) | (~v84(constB125, bitIndex1)) | v84(constB125, bitIndex0))))) | v115(constB125) | (v84(constB125, bitIndex2) | (~v84(constB125, bitIndex1)) | v84(constB125, bitIndex0))),
% 8.99/6.55 inference(tautology,[status(thm)],[])).
% 8.99/6.55 tff(20058,plain,
% 8.99/6.55 (v115(constB125)),
% 8.99/6.55 inference(unit_resolution,[status(thm)],[20057, 20056, 4069])).
% 8.99/6.55 tff(20059,plain,
% 8.99/6.55 ((v112(constB125) | v115(constB125)) | (~v115(constB125))),
% 8.99/6.55 inference(tautology,[status(thm)],[])).
% 8.99/6.55 tff(20060,plain,
% 8.99/6.55 (v112(constB125) | v115(constB125)),
% 8.99/6.55 inference(unit_resolution,[status(thm)],[20059, 20058])).
% 8.99/6.55 tff(20061,plain,
% 8.99/6.55 ((~(v111(constB125) <=> (v112(constB125) | v115(constB125)))) | v111(constB125) | (~(v112(constB125) | v115(constB125)))),
% 8.99/6.55 inference(tautology,[status(thm)],[])).
% 8.99/6.55 tff(20062,plain,
% 8.99/6.55 (v111(constB125)),
% 8.99/6.55 inference(unit_resolution,[status(thm)],[20061, 20060, 4062])).
% 8.99/6.55 tff(20063,plain,
% 8.99/6.55 ((v111(constB125) | v116(constB125)) | (~v111(constB125))),
% 8.99/6.55 inference(tautology,[status(thm)],[])).
% 8.99/6.55 tff(20064,plain,
% 8.99/6.55 (v111(constB125) | v116(constB125)),
% 8.99/6.55 inference(unit_resolution,[status(thm)],[20063, 20062])).
% 8.99/6.55 tff(20065,plain,
% 8.99/6.55 ((~(v110(constB125) <=> (v111(constB125) | v116(constB125)))) | v110(constB125) | (~(v111(constB125) | v116(constB125)))),
% 8.99/6.55 inference(tautology,[status(thm)],[])).
% 8.99/6.55 tff(20066,plain,
% 8.99/6.55 (v110(constB125)),
% 8.99/6.55 inference(unit_resolution,[status(thm)],[20065, 20064, 4060])).
% 8.99/6.55 tff(20067,plain,
% 8.99/6.55 ((v110(constB125) | v117(constB125)) | (~v110(constB125))),
% 8.99/6.55 inference(tautology,[status(thm)],[])).
% 8.99/6.55 tff(20068,plain,
% 8.99/6.55 (v110(constB125) | v117(constB125)),
% 8.99/6.55 inference(unit_resolution,[status(thm)],[20067, 20066])).
% 8.99/6.55 tff(20069,plain,
% 8.99/6.55 ((~(v109(constB125) <=> (v110(constB125) | v117(constB125)))) | v109(constB125) | (~(v110(constB125) | v117(constB125)))),
% 8.99/6.55 inference(tautology,[status(thm)],[])).
% 8.99/6.55 tff(20070,plain,
% 8.99/6.55 (v109(constB125)),
% 8.99/6.55 inference(unit_resolution,[status(thm)],[20069, 20068, 4058])).
% 8.99/6.55 tff(20071,plain,
% 8.99/6.55 ((v109(constB125) | v118(constB125)) | (~v109(constB125))),
% 8.99/6.55 inference(tautology,[status(thm)],[])).
% 8.99/6.55 tff(20072,plain,
% 8.99/6.55 (v109(constB125) | v118(constB125)),
% 8.99/6.55 inference(unit_resolution,[status(thm)],[20071, 20070])).
% 8.99/6.55 tff(20073,plain,
% 8.99/6.55 ((~(v108(constB125) <=> (v109(constB125) | v118(constB125)))) | v108(constB125) | (~(v109(constB125) | v118(constB125)))),
% 8.99/6.55 inference(tautology,[status(thm)],[])).
% 8.99/6.55 tff(20074,plain,
% 8.99/6.55 (v108(constB125)),
% 8.99/6.55 inference(unit_resolution,[status(thm)],[20073, 20072, 4056])).
% 8.99/6.55 tff(20075,plain,
% 8.99/6.55 ((v108(constB125) | v119(constB125)) | (~v108(constB125))),
% 8.99/6.55 inference(tautology,[status(thm)],[])).
% 8.99/6.55 tff(20076,plain,
% 8.99/6.55 (v108(constB125) | v119(constB125)),
% 8.99/6.55 inference(unit_resolution,[status(thm)],[20075, 20074])).
% 8.99/6.55 tff(20077,plain,
% 8.99/6.55 ((~(v107(constB125) <=> (v108(constB125) | v119(constB125)))) | v107(constB125) | (~(v108(constB125) | v119(constB125)))),
% 8.99/6.55 inference(tautology,[status(thm)],[])).
% 8.99/6.55 tff(20078,plain,
% 8.99/6.55 (v107(constB125)),
% 8.99/6.55 inference(unit_resolution,[status(thm)],[20077, 20076, 4054])).
% 8.99/6.55 tff(20079,plain,
% 8.99/6.55 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB125)) <=> v105(constB125))),
% 8.99/6.55 inference(quant_inst,[status(thm)],[])).
% 8.99/6.55 tff(20080,plain,
% 8.99/6.55 ((~v120(constB125)) <=> v105(constB125)),
% 8.99/6.55 inference(unit_resolution,[status(thm)],[20079, 9842])).
% 8.99/6.55 tff(20081,plain,
% 8.99/6.55 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB125) <=> v26(constB125))),
% 8.99/6.55 inference(quant_inst,[status(thm)],[])).
% 8.99/6.55 tff(20082,plain,
% 8.99/6.55 (v105(constB125) <=> v26(constB125)),
% 8.99/6.55 inference(unit_resolution,[status(thm)],[20081, 9854])).
% 8.99/6.55 tff(20083,plain,
% 8.99/6.55 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB125))),
% 8.99/6.55 inference(quant_inst,[status(thm)],[])).
% 8.99/6.55 tff(20084,plain,
% 8.99/6.55 (~v26(constB125)),
% 8.99/6.55 inference(unit_resolution,[status(thm)],[20083, 9866])).
% 8.99/6.55 tff(20085,plain,
% 8.99/6.55 ((~(v105(constB125) <=> v26(constB125))) | (~v105(constB125)) | v26(constB125)),
% 8.99/6.55 inference(tautology,[status(thm)],[])).
% 8.99/6.55 tff(20086,plain,
% 8.99/6.55 ((~(v105(constB125) <=> v26(constB125))) | (~v105(constB125))),
% 8.99/6.55 inference(unit_resolution,[status(thm)],[20085, 20084])).
% 8.99/6.55 tff(20087,plain,
% 8.99/6.55 (~v105(constB125)),
% 8.99/6.55 inference(unit_resolution,[status(thm)],[20086, 20082])).
% 8.99/6.55 tff(20088,plain,
% 8.99/6.55 ((~((~v120(constB125)) <=> v105(constB125))) | v120(constB125) | v105(constB125)),
% 8.99/6.55 inference(tautology,[status(thm)],[])).
% 8.99/6.55 tff(20089,plain,
% 8.99/6.55 ((~((~v120(constB125)) <=> v105(constB125))) | v120(constB125)),
% 8.99/6.55 inference(unit_resolution,[status(thm)],[20088, 20087])).
% 8.99/6.55 tff(20090,plain,
% 8.99/6.55 (v120(constB125)),
% 8.99/6.55 inference(unit_resolution,[status(thm)],[20089, 20080])).
% 8.99/6.55 tff(20091,plain,
% 8.99/6.55 ((~((~v107(constB125)) | (~v120(constB125)))) | (~v107(constB125)) | (~v120(constB125))),
% 8.99/6.55 inference(tautology,[status(thm)],[])).
% 8.99/6.55 tff(20092,plain,
% 8.99/6.55 ((~((~v107(constB125)) | (~v120(constB125)))) | (~v107(constB125))),
% 8.99/6.55 inference(unit_resolution,[status(thm)],[20091, 20090])).
% 8.99/6.55 tff(20093,plain,
% 8.99/6.55 (~((~v107(constB125)) | (~v120(constB125)))),
% 8.99/6.55 inference(unit_resolution,[status(thm)],[20092, 20078])).
% 8.99/6.55 tff(20094,plain,
% 8.99/6.55 ((~(v106(constB125) <=> (~((~v107(constB125)) | (~v120(constB125)))))) | v106(constB125) | ((~v107(constB125)) | (~v120(constB125)))),
% 8.99/6.55 inference(tautology,[status(thm)],[])).
% 8.99/6.55 tff(20095,plain,
% 8.99/6.55 (v106(constB125)),
% 8.99/6.55 inference(unit_resolution,[status(thm)],[20094, 20093, 4052])).
% 8.99/6.55 tff(20096,plain,
% 8.99/6.55 ((v105(constB125) | v106(constB125)) | (~v106(constB125))),
% 8.99/6.55 inference(tautology,[status(thm)],[])).
% 8.99/6.55 tff(20097,plain,
% 8.99/6.55 (v105(constB125) | v106(constB125)),
% 8.99/6.55 inference(unit_resolution,[status(thm)],[20096, 20095])).
% 8.99/6.55 tff(20098,plain,
% 8.99/6.55 ((~(v102(constB125) <=> (v105(constB125) | v106(constB125)))) | v102(constB125) | (~(v105(constB125) | v106(constB125)))),
% 8.99/6.55 inference(tautology,[status(thm)],[])).
% 8.99/6.55 tff(20099,plain,
% 8.99/6.55 (v102(constB125)),
% 8.99/6.55 inference(unit_resolution,[status(thm)],[20098, 20097, 4050])).
% 8.99/6.55 tff(20100,plain,
% 8.99/6.55 ((~(v104(constB126) <=> v102(constB125))) | v104(constB126) | (~v102(constB125))),
% 8.99/6.55 inference(tautology,[status(thm)],[])).
% 8.99/6.55 tff(20101,plain,
% 8.99/6.55 (v104(constB126)),
% 8.99/6.55 inference(unit_resolution,[status(thm)],[20100, 20099, 4048])).
% 8.99/6.55 tff(20102,plain,
% 8.99/6.55 ((~((~v104(constB126)) | (~v95(constB126)))) | (~v104(constB126)) | (~v95(constB126))),
% 8.99/6.55 inference(tautology,[status(thm)],[])).
% 8.99/6.55 tff(20103,plain,
% 8.99/6.55 (~((~v104(constB126)) | (~v95(constB126)))),
% 8.99/6.55 inference(unit_resolution,[status(thm)],[20102, 20101, 4044])).
% 8.99/6.55 tff(20104,plain,
% 8.99/6.55 ((~(v94(constB126) <=> (~((~v104(constB126)) | (~v95(constB126)))))) | v94(constB126) | ((~v104(constB126)) | (~v95(constB126)))),
% 8.99/6.55 inference(tautology,[status(thm)],[])).
% 8.99/6.55 tff(20105,plain,
% 8.99/6.55 (v94(constB126)),
% 8.99/6.55 inference(unit_resolution,[status(thm)],[20104, 20103, 4013])).
% 8.99/6.55 tff(20106,plain,
% 8.99/6.55 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB126)) | ![B: $i] : ((~less_3(B)) | (v84(constB126, B) <=> v123(constB126, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB126)) | ![B: $i] : ((~less_3(B)) | (v84(constB126, B) <=> v123(constB126, B))))),
% 8.99/6.55 inference(rewrite,[status(thm)],[])).
% 8.99/6.55 tff(20107,plain,
% 8.99/6.55 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB126)) | ![B: $i] : ((~less_3(B)) | (v84(constB126, B) <=> v123(constB126, B))))),
% 8.99/6.55 inference(quant_inst,[status(thm)],[])).
% 8.99/6.55 tff(20108,plain,
% 8.99/6.55 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB126)) | ![B: $i] : ((~less_3(B)) | (v84(constB126, B) <=> v123(constB126, B)))),
% 8.99/6.55 inference(modus_ponens,[status(thm)],[20107, 20106])).
% 8.99/6.55 tff(20109,plain,
% 8.99/6.55 ((~v94(constB126)) | ![B: $i] : ((~less_3(B)) | (v84(constB126, B) <=> v123(constB126, B)))),
% 8.99/6.55 inference(unit_resolution,[status(thm)],[20108, 9902])).
% 8.99/6.55 tff(20110,plain,
% 8.99/6.55 (![B: $i] : ((~less_3(B)) | (v84(constB126, B) <=> v123(constB126, B)))),
% 8.99/6.55 inference(unit_resolution,[status(thm)],[20109, 20105])).
% 8.99/6.55 tff(20111,plain,
% 8.99/6.55 (((~![B: $i] : ((~less_3(B)) | (v84(constB126, B) <=> v123(constB126, B)))) | ((~less_3(bitIndex2)) | (v84(constB126, bitIndex2) <=> v123(constB126, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB126, B) <=> v123(constB126, B)))) | (~less_3(bitIndex2)) | (v84(constB126, bitIndex2) <=> v123(constB126, bitIndex2)))),
% 8.99/6.55 inference(rewrite,[status(thm)],[])).
% 8.99/6.55 tff(20112,plain,
% 8.99/6.55 ((~![B: $i] : ((~less_3(B)) | (v84(constB126, B) <=> v123(constB126, B)))) | ((~less_3(bitIndex2)) | (v84(constB126, bitIndex2) <=> v123(constB126, bitIndex2)))),
% 8.99/6.55 inference(quant_inst,[status(thm)],[])).
% 8.99/6.55 tff(20113,plain,
% 8.99/6.55 ((~![B: $i] : ((~less_3(B)) | (v84(constB126, B) <=> v123(constB126, B)))) | (~less_3(bitIndex2)) | (v84(constB126, bitIndex2) <=> v123(constB126, bitIndex2))),
% 8.99/6.55 inference(modus_ponens,[status(thm)],[20112, 20111])).
% 8.99/6.55 tff(20114,plain,
% 8.99/6.55 (v84(constB126, bitIndex2) <=> v123(constB126, bitIndex2)),
% 8.99/6.55 inference(unit_resolution,[status(thm)],[20113, 832, 20110])).
% 8.99/6.55 tff(20115,plain,
% 8.99/6.55 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB125, constB126)) | ![B: $i] : ((~less_3(B)) | (v123(constB126, B) <=> v121(constB125, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB125, constB126)) | ![B: $i] : ((~less_3(B)) | (v123(constB126, B) <=> v121(constB125, B))))),
% 8.99/6.55 inference(rewrite,[status(thm)],[])).
% 8.99/6.55 tff(20116,plain,
% 8.99/6.55 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB125, constB126)) | ![B: $i] : ((~less_3(B)) | (v123(constB126, B) <=> v121(constB125, B))))),
% 8.99/6.55 inference(quant_inst,[status(thm)],[])).
% 8.99/6.55 tff(20117,plain,
% 8.99/6.55 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB125, constB126)) | ![B: $i] : ((~less_3(B)) | (v123(constB126, B) <=> v121(constB125, B)))),
% 8.99/6.55 inference(modus_ponens,[status(thm)],[20116, 20115])).
% 8.99/6.55 tff(20118,plain,
% 8.99/6.55 (![B: $i] : ((~less_3(B)) | (v123(constB126, B) <=> v121(constB125, B)))),
% 8.99/6.55 inference(unit_resolution,[status(thm)],[20117, 4009, 9924])).
% 8.99/6.55 tff(20119,plain,
% 8.99/6.55 (((~![B: $i] : ((~less_3(B)) | (v123(constB126, B) <=> v121(constB125, B)))) | ((~less_3(bitIndex2)) | (v123(constB126, bitIndex2) <=> v121(constB125, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB126, B) <=> v121(constB125, B)))) | (~less_3(bitIndex2)) | (v123(constB126, bitIndex2) <=> v121(constB125, bitIndex2)))),
% 8.99/6.55 inference(rewrite,[status(thm)],[])).
% 8.99/6.55 tff(20120,plain,
% 8.99/6.55 ((~![B: $i] : ((~less_3(B)) | (v123(constB126, B) <=> v121(constB125, B)))) | ((~less_3(bitIndex2)) | (v123(constB126, bitIndex2) <=> v121(constB125, bitIndex2)))),
% 8.99/6.55 inference(quant_inst,[status(thm)],[])).
% 8.99/6.55 tff(20121,plain,
% 8.99/6.55 ((~![B: $i] : ((~less_3(B)) | (v123(constB126, B) <=> v121(constB125, B)))) | (~less_3(bitIndex2)) | (v123(constB126, bitIndex2) <=> v121(constB125, bitIndex2))),
% 8.99/6.55 inference(modus_ponens,[status(thm)],[20120, 20119])).
% 8.99/6.55 tff(20122,plain,
% 8.99/6.55 (v123(constB126, bitIndex2) <=> v121(constB125, bitIndex2)),
% 8.99/6.55 inference(unit_resolution,[status(thm)],[20121, 832, 20118])).
% 8.99/6.55 tff(20123,plain,
% 8.99/6.55 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB125) | ![B: $i] : ((~less_3(B)) | (v121(constB125, B) <=> v124(constB125, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB125) | ![B: $i] : ((~less_3(B)) | (v121(constB125, B) <=> v124(constB125, B))))),
% 8.99/6.55 inference(rewrite,[status(thm)],[])).
% 8.99/6.55 tff(20124,plain,
% 8.99/6.55 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB125) | ![B: $i] : ((~less_3(B)) | (v121(constB125, B) <=> v124(constB125, B))))),
% 8.99/6.55 inference(quant_inst,[status(thm)],[])).
% 8.99/6.55 tff(20125,plain,
% 8.99/6.55 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB125) | ![B: $i] : ((~less_3(B)) | (v121(constB125, B) <=> v124(constB125, B)))),
% 8.99/6.55 inference(modus_ponens,[status(thm)],[20124, 20123])).
% 8.99/6.55 tff(20126,plain,
% 8.99/6.55 (![B: $i] : ((~less_3(B)) | (v121(constB125, B) <=> v124(constB125, B)))),
% 8.99/6.55 inference(unit_resolution,[status(thm)],[20125, 9945, 20087])).
% 8.99/6.55 tff(20127,plain,
% 8.99/6.55 (((~![B: $i] : ((~less_3(B)) | (v121(constB125, B) <=> v124(constB125, B)))) | ((~less_3(bitIndex2)) | (v121(constB125, bitIndex2) <=> v124(constB125, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB125, B) <=> v124(constB125, B)))) | (~less_3(bitIndex2)) | (v121(constB125, bitIndex2) <=> v124(constB125, bitIndex2)))),
% 8.99/6.55 inference(rewrite,[status(thm)],[])).
% 8.99/6.55 tff(20128,plain,
% 8.99/6.55 ((~![B: $i] : ((~less_3(B)) | (v121(constB125, B) <=> v124(constB125, B)))) | ((~less_3(bitIndex2)) | (v121(constB125, bitIndex2) <=> v124(constB125, bitIndex2)))),
% 8.99/6.55 inference(quant_inst,[status(thm)],[])).
% 8.99/6.55 tff(20129,plain,
% 8.99/6.55 ((~![B: $i] : ((~less_3(B)) | (v121(constB125, B) <=> v124(constB125, B)))) | (~less_3(bitIndex2)) | (v121(constB125, bitIndex2) <=> v124(constB125, bitIndex2))),
% 8.99/6.55 inference(modus_ponens,[status(thm)],[20128, 20127])).
% 8.99/6.55 tff(20130,plain,
% 8.99/6.55 (v121(constB125, bitIndex2) <=> v124(constB125, bitIndex2)),
% 8.99/6.55 inference(unit_resolution,[status(thm)],[20129, 832, 20126])).
% 8.99/6.55 tff(20131,plain,
% 8.99/6.55 (((~![VarCurr: $i] : ((~v115(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b011(B))))) | ((~v115(constB125)) | ![B: $i] : ((~less_3(B)) | (v124(constB125, B) <=> b011(B))))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b011(B))))) | (~v115(constB125)) | ![B: $i] : ((~less_3(B)) | (v124(constB125, B) <=> b011(B))))),
% 8.99/6.55 inference(rewrite,[status(thm)],[])).
% 8.99/6.55 tff(20132,plain,
% 8.99/6.55 ((~![VarCurr: $i] : ((~v115(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b011(B))))) | ((~v115(constB125)) | ![B: $i] : ((~less_3(B)) | (v124(constB125, B) <=> b011(B))))),
% 8.99/6.55 inference(quant_inst,[status(thm)],[])).
% 8.99/6.55 tff(20133,plain,
% 8.99/6.55 ((~![VarCurr: $i] : ((~v115(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b011(B))))) | (~v115(constB125)) | ![B: $i] : ((~less_3(B)) | (v124(constB125, B) <=> b011(B)))),
% 8.99/6.55 inference(modus_ponens,[status(thm)],[20132, 20131])).
% 8.99/6.55 tff(20134,plain,
% 8.99/6.55 ((~v115(constB125)) | ![B: $i] : ((~less_3(B)) | (v124(constB125, B) <=> b011(B)))),
% 8.99/6.56 inference(unit_resolution,[status(thm)],[20133, 10329])).
% 8.99/6.56 tff(20135,plain,
% 8.99/6.56 (![B: $i] : ((~less_3(B)) | (v124(constB125, B) <=> b011(B)))),
% 8.99/6.56 inference(unit_resolution,[status(thm)],[20134, 20058])).
% 8.99/6.56 tff(20136,plain,
% 8.99/6.56 (((~![B: $i] : ((~less_3(B)) | (v124(constB125, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v124(constB125, bitIndex2) <=> b011(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB125, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v124(constB125, bitIndex2) <=> b011(bitIndex2)))),
% 8.99/6.56 inference(rewrite,[status(thm)],[])).
% 8.99/6.56 tff(20137,plain,
% 8.99/6.56 ((~![B: $i] : ((~less_3(B)) | (v124(constB125, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v124(constB125, bitIndex2) <=> b011(bitIndex2)))),
% 8.99/6.56 inference(quant_inst,[status(thm)],[])).
% 8.99/6.56 tff(20138,plain,
% 8.99/6.56 ((~![B: $i] : ((~less_3(B)) | (v124(constB125, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v124(constB125, bitIndex2) <=> b011(bitIndex2))),
% 8.99/6.56 inference(modus_ponens,[status(thm)],[20137, 20136])).
% 8.99/6.56 tff(20139,plain,
% 8.99/6.56 (v124(constB125, bitIndex2) <=> b011(bitIndex2)),
% 8.99/6.56 inference(unit_resolution,[status(thm)],[20138, 832, 20135])).
% 8.99/6.56 tff(20140,plain,
% 8.99/6.56 ((~(v124(constB125, bitIndex2) <=> b011(bitIndex2))) | (~v124(constB125, bitIndex2)) | b011(bitIndex2)),
% 8.99/6.56 inference(tautology,[status(thm)],[])).
% 8.99/6.56 tff(20141,plain,
% 8.99/6.56 ((~(v124(constB125, bitIndex2) <=> b011(bitIndex2))) | (~v124(constB125, bitIndex2))),
% 8.99/6.56 inference(unit_resolution,[status(thm)],[20140, 10341])).
% 8.99/6.56 tff(20142,plain,
% 8.99/6.56 (~v124(constB125, bitIndex2)),
% 8.99/6.56 inference(unit_resolution,[status(thm)],[20141, 20139])).
% 8.99/6.56 tff(20143,plain,
% 8.99/6.56 ((~(v121(constB125, bitIndex2) <=> v124(constB125, bitIndex2))) | (~v121(constB125, bitIndex2)) | v124(constB125, bitIndex2)),
% 8.99/6.56 inference(tautology,[status(thm)],[])).
% 8.99/6.56 tff(20144,plain,
% 8.99/6.56 (~v121(constB125, bitIndex2)),
% 8.99/6.56 inference(unit_resolution,[status(thm)],[20143, 20142, 20130])).
% 8.99/6.56 tff(20145,plain,
% 8.99/6.56 ((~(v123(constB126, bitIndex2) <=> v121(constB125, bitIndex2))) | (~v123(constB126, bitIndex2)) | v121(constB125, bitIndex2)),
% 8.99/6.56 inference(tautology,[status(thm)],[])).
% 8.99/6.56 tff(20146,plain,
% 8.99/6.56 (~v123(constB126, bitIndex2)),
% 8.99/6.56 inference(unit_resolution,[status(thm)],[20145, 20144, 20122])).
% 8.99/6.56 tff(20147,plain,
% 8.99/6.56 ((~(v84(constB126, bitIndex2) <=> v123(constB126, bitIndex2))) | (~v84(constB126, bitIndex2)) | v123(constB126, bitIndex2)),
% 8.99/6.56 inference(tautology,[status(thm)],[])).
% 8.99/6.56 tff(20148,plain,
% 8.99/6.56 (~v84(constB126, bitIndex2)),
% 8.99/6.56 inference(unit_resolution,[status(thm)],[20147, 20146, 20114])).
% 8.99/6.56 tff(20149,plain,
% 8.99/6.56 ((~(v84(constB127, bitIndex2) <=> v84(constB126, bitIndex2))) | (~v84(constB127, bitIndex2)) | v84(constB126, bitIndex2)),
% 8.99/6.56 inference(tautology,[status(thm)],[])).
% 8.99/6.56 tff(20150,plain,
% 8.99/6.56 (~v84(constB127, bitIndex2)),
% 8.99/6.56 inference(unit_resolution,[status(thm)],[20149, 20148, 4006])).
% 8.99/6.56 tff(20151,plain,
% 8.99/6.56 (((~![B: $i] : ((~less_3(B)) | (v84(constB127, B) <=> v84(constB126, B)))) | ((~less_3(bitIndex0)) | (v84(constB127, bitIndex0) <=> v84(constB126, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB127, B) <=> v84(constB126, B)))) | (~less_3(bitIndex0)) | (v84(constB127, bitIndex0) <=> v84(constB126, bitIndex0)))),
% 8.99/6.56 inference(rewrite,[status(thm)],[])).
% 8.99/6.56 tff(20152,plain,
% 8.99/6.56 ((~![B: $i] : ((~less_3(B)) | (v84(constB127, B) <=> v84(constB126, B)))) | ((~less_3(bitIndex0)) | (v84(constB127, bitIndex0) <=> v84(constB126, bitIndex0)))),
% 8.99/6.56 inference(quant_inst,[status(thm)],[])).
% 8.99/6.56 tff(20153,plain,
% 8.99/6.56 ((~![B: $i] : ((~less_3(B)) | (v84(constB127, B) <=> v84(constB126, B)))) | (~less_3(bitIndex0)) | (v84(constB127, bitIndex0) <=> v84(constB126, bitIndex0))),
% 8.99/6.56 inference(modus_ponens,[status(thm)],[20152, 20151])).
% 8.99/6.56 tff(20154,plain,
% 8.99/6.56 (v84(constB127, bitIndex0) <=> v84(constB126, bitIndex0)),
% 8.99/6.56 inference(unit_resolution,[status(thm)],[20153, 9772, 4002])).
% 8.99/6.56 tff(20155,plain,
% 8.99/6.56 (((~![B: $i] : ((~less_3(B)) | (v84(constB126, B) <=> v123(constB126, B)))) | ((~less_3(bitIndex0)) | (v84(constB126, bitIndex0) <=> v123(constB126, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB126, B) <=> v123(constB126, B)))) | (~less_3(bitIndex0)) | (v84(constB126, bitIndex0) <=> v123(constB126, bitIndex0)))),
% 8.99/6.56 inference(rewrite,[status(thm)],[])).
% 8.99/6.56 tff(20156,plain,
% 8.99/6.56 ((~![B: $i] : ((~less_3(B)) | (v84(constB126, B) <=> v123(constB126, B)))) | ((~less_3(bitIndex0)) | (v84(constB126, bitIndex0) <=> v123(constB126, bitIndex0)))),
% 8.99/6.56 inference(quant_inst,[status(thm)],[])).
% 8.99/6.56 tff(20157,plain,
% 8.99/6.56 ((~![B: $i] : ((~less_3(B)) | (v84(constB126, B) <=> v123(constB126, B)))) | (~less_3(bitIndex0)) | (v84(constB126, bitIndex0) <=> v123(constB126, bitIndex0))),
% 8.99/6.56 inference(modus_ponens,[status(thm)],[20156, 20155])).
% 8.99/6.56 tff(20158,plain,
% 8.99/6.56 (v84(constB126, bitIndex0) <=> v123(constB126, bitIndex0)),
% 8.99/6.56 inference(unit_resolution,[status(thm)],[20157, 9772, 20110])).
% 8.99/6.56 tff(20159,plain,
% 8.99/6.56 (((~![B: $i] : ((~less_3(B)) | (v123(constB126, B) <=> v121(constB125, B)))) | ((~less_3(bitIndex0)) | (v123(constB126, bitIndex0) <=> v121(constB125, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB126, B) <=> v121(constB125, B)))) | (~less_3(bitIndex0)) | (v123(constB126, bitIndex0) <=> v121(constB125, bitIndex0)))),
% 8.99/6.56 inference(rewrite,[status(thm)],[])).
% 8.99/6.56 tff(20160,plain,
% 8.99/6.56 ((~![B: $i] : ((~less_3(B)) | (v123(constB126, B) <=> v121(constB125, B)))) | ((~less_3(bitIndex0)) | (v123(constB126, bitIndex0) <=> v121(constB125, bitIndex0)))),
% 8.99/6.56 inference(quant_inst,[status(thm)],[])).
% 8.99/6.56 tff(20161,plain,
% 8.99/6.56 ((~![B: $i] : ((~less_3(B)) | (v123(constB126, B) <=> v121(constB125, B)))) | (~less_3(bitIndex0)) | (v123(constB126, bitIndex0) <=> v121(constB125, bitIndex0))),
% 8.99/6.56 inference(modus_ponens,[status(thm)],[20160, 20159])).
% 8.99/6.56 tff(20162,plain,
% 8.99/6.56 (v123(constB126, bitIndex0) <=> v121(constB125, bitIndex0)),
% 8.99/6.56 inference(unit_resolution,[status(thm)],[20161, 9772, 20118])).
% 8.99/6.56 tff(20163,plain,
% 8.99/6.56 (((~![B: $i] : ((~less_3(B)) | (v121(constB125, B) <=> v124(constB125, B)))) | ((~less_3(bitIndex0)) | (v121(constB125, bitIndex0) <=> v124(constB125, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB125, B) <=> v124(constB125, B)))) | (~less_3(bitIndex0)) | (v121(constB125, bitIndex0) <=> v124(constB125, bitIndex0)))),
% 8.99/6.56 inference(rewrite,[status(thm)],[])).
% 8.99/6.56 tff(20164,plain,
% 8.99/6.56 ((~![B: $i] : ((~less_3(B)) | (v121(constB125, B) <=> v124(constB125, B)))) | ((~less_3(bitIndex0)) | (v121(constB125, bitIndex0) <=> v124(constB125, bitIndex0)))),
% 8.99/6.56 inference(quant_inst,[status(thm)],[])).
% 8.99/6.56 tff(20165,plain,
% 8.99/6.56 ((~![B: $i] : ((~less_3(B)) | (v121(constB125, B) <=> v124(constB125, B)))) | (~less_3(bitIndex0)) | (v121(constB125, bitIndex0) <=> v124(constB125, bitIndex0))),
% 8.99/6.56 inference(modus_ponens,[status(thm)],[20164, 20163])).
% 8.99/6.56 tff(20166,plain,
% 8.99/6.56 (v121(constB125, bitIndex0) <=> v124(constB125, bitIndex0)),
% 8.99/6.56 inference(unit_resolution,[status(thm)],[20165, 9772, 20126])).
% 8.99/6.56 tff(20167,plain,
% 8.99/6.56 (((~![B: $i] : ((~less_3(B)) | (v124(constB125, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v124(constB125, bitIndex0) <=> b011(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB125, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v124(constB125, bitIndex0) <=> b011(bitIndex0)))),
% 8.99/6.56 inference(rewrite,[status(thm)],[])).
% 8.99/6.56 tff(20168,plain,
% 8.99/6.56 ((~![B: $i] : ((~less_3(B)) | (v124(constB125, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v124(constB125, bitIndex0) <=> b011(bitIndex0)))),
% 8.99/6.56 inference(quant_inst,[status(thm)],[])).
% 8.99/6.56 tff(20169,plain,
% 8.99/6.56 ((~![B: $i] : ((~less_3(B)) | (v124(constB125, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v124(constB125, bitIndex0) <=> b011(bitIndex0))),
% 8.99/6.56 inference(modus_ponens,[status(thm)],[20168, 20167])).
% 8.99/6.56 tff(20170,plain,
% 8.99/6.56 (v124(constB125, bitIndex0) <=> b011(bitIndex0)),
% 8.99/6.56 inference(unit_resolution,[status(thm)],[20169, 9772, 20135])).
% 8.99/6.56 tff(20171,plain,
% 8.99/6.56 ((~(v124(constB125, bitIndex0) <=> b011(bitIndex0))) | v124(constB125, bitIndex0) | (~b011(bitIndex0))),
% 8.99/6.56 inference(tautology,[status(thm)],[])).
% 8.99/6.56 tff(20172,plain,
% 8.99/6.56 ((~(v124(constB125, bitIndex0) <=> b011(bitIndex0))) | v124(constB125, bitIndex0)),
% 8.99/6.56 inference(unit_resolution,[status(thm)],[20171, 10375])).
% 8.99/6.56 tff(20173,plain,
% 8.99/6.56 (v124(constB125, bitIndex0)),
% 8.99/6.56 inference(unit_resolution,[status(thm)],[20172, 20170])).
% 8.99/6.56 tff(20174,plain,
% 8.99/6.56 ((~(v121(constB125, bitIndex0) <=> v124(constB125, bitIndex0))) | v121(constB125, bitIndex0) | (~v124(constB125, bitIndex0))),
% 8.99/6.56 inference(tautology,[status(thm)],[])).
% 8.99/6.56 tff(20175,plain,
% 8.99/6.56 (v121(constB125, bitIndex0)),
% 8.99/6.56 inference(unit_resolution,[status(thm)],[20174, 20173, 20166])).
% 8.99/6.56 tff(20176,plain,
% 8.99/6.56 ((~(v123(constB126, bitIndex0) <=> v121(constB125, bitIndex0))) | v123(constB126, bitIndex0) | (~v121(constB125, bitIndex0))),
% 8.99/6.56 inference(tautology,[status(thm)],[])).
% 8.99/6.56 tff(20177,plain,
% 8.99/6.56 (v123(constB126, bitIndex0)),
% 8.99/6.56 inference(unit_resolution,[status(thm)],[20176, 20175, 20162])).
% 8.99/6.56 tff(20178,plain,
% 8.99/6.56 ((~(v84(constB126, bitIndex0) <=> v123(constB126, bitIndex0))) | v84(constB126, bitIndex0) | (~v123(constB126, bitIndex0))),
% 8.99/6.56 inference(tautology,[status(thm)],[])).
% 8.99/6.56 tff(20179,plain,
% 8.99/6.56 (v84(constB126, bitIndex0)),
% 8.99/6.56 inference(unit_resolution,[status(thm)],[20178, 20177, 20158])).
% 8.99/6.56 tff(20180,plain,
% 8.99/6.56 ((~(v84(constB127, bitIndex0) <=> v84(constB126, bitIndex0))) | v84(constB127, bitIndex0) | (~v84(constB126, bitIndex0))),
% 8.99/6.56 inference(tautology,[status(thm)],[])).
% 8.99/6.56 tff(20181,plain,
% 8.99/6.56 (v84(constB127, bitIndex0)),
% 8.99/6.56 inference(unit_resolution,[status(thm)],[20180, 20179, 20154])).
% 8.99/6.56 tff(20182,plain,
% 8.99/6.56 (((~![B: $i] : ((~less_3(B)) | (v84(constB127, B) <=> v84(constB126, B)))) | ((~less_3(bitIndex1)) | (v84(constB127, bitIndex1) <=> v84(constB126, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB127, B) <=> v84(constB126, B)))) | (~less_3(bitIndex1)) | (v84(constB127, bitIndex1) <=> v84(constB126, bitIndex1)))),
% 8.99/6.56 inference(rewrite,[status(thm)],[])).
% 8.99/6.56 tff(20183,plain,
% 8.99/6.56 ((~![B: $i] : ((~less_3(B)) | (v84(constB127, B) <=> v84(constB126, B)))) | ((~less_3(bitIndex1)) | (v84(constB127, bitIndex1) <=> v84(constB126, bitIndex1)))),
% 8.99/6.56 inference(quant_inst,[status(thm)],[])).
% 8.99/6.56 tff(20184,plain,
% 8.99/6.56 ((~![B: $i] : ((~less_3(B)) | (v84(constB127, B) <=> v84(constB126, B)))) | (~less_3(bitIndex1)) | (v84(constB127, bitIndex1) <=> v84(constB126, bitIndex1))),
% 8.99/6.56 inference(modus_ponens,[status(thm)],[20183, 20182])).
% 8.99/6.56 tff(20185,plain,
% 8.99/6.56 (v84(constB127, bitIndex1) <=> v84(constB126, bitIndex1)),
% 8.99/6.56 inference(unit_resolution,[status(thm)],[20184, 9785, 4002])).
% 8.99/6.56 tff(20186,plain,
% 8.99/6.56 (((~![B: $i] : ((~less_3(B)) | (v84(constB126, B) <=> v123(constB126, B)))) | ((~less_3(bitIndex1)) | (v84(constB126, bitIndex1) <=> v123(constB126, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB126, B) <=> v123(constB126, B)))) | (~less_3(bitIndex1)) | (v84(constB126, bitIndex1) <=> v123(constB126, bitIndex1)))),
% 8.99/6.56 inference(rewrite,[status(thm)],[])).
% 8.99/6.56 tff(20187,plain,
% 8.99/6.56 ((~![B: $i] : ((~less_3(B)) | (v84(constB126, B) <=> v123(constB126, B)))) | ((~less_3(bitIndex1)) | (v84(constB126, bitIndex1) <=> v123(constB126, bitIndex1)))),
% 8.99/6.56 inference(quant_inst,[status(thm)],[])).
% 8.99/6.56 tff(20188,plain,
% 8.99/6.56 ((~![B: $i] : ((~less_3(B)) | (v84(constB126, B) <=> v123(constB126, B)))) | (~less_3(bitIndex1)) | (v84(constB126, bitIndex1) <=> v123(constB126, bitIndex1))),
% 8.99/6.56 inference(modus_ponens,[status(thm)],[20187, 20186])).
% 8.99/6.56 tff(20189,plain,
% 8.99/6.56 (v84(constB126, bitIndex1) <=> v123(constB126, bitIndex1)),
% 8.99/6.56 inference(unit_resolution,[status(thm)],[20188, 9785, 20110])).
% 8.99/6.56 tff(20190,plain,
% 8.99/6.56 (((~![B: $i] : ((~less_3(B)) | (v123(constB126, B) <=> v121(constB125, B)))) | ((~less_3(bitIndex1)) | (v123(constB126, bitIndex1) <=> v121(constB125, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB126, B) <=> v121(constB125, B)))) | (~less_3(bitIndex1)) | (v123(constB126, bitIndex1) <=> v121(constB125, bitIndex1)))),
% 8.99/6.56 inference(rewrite,[status(thm)],[])).
% 8.99/6.56 tff(20191,plain,
% 8.99/6.56 ((~![B: $i] : ((~less_3(B)) | (v123(constB126, B) <=> v121(constB125, B)))) | ((~less_3(bitIndex1)) | (v123(constB126, bitIndex1) <=> v121(constB125, bitIndex1)))),
% 8.99/6.56 inference(quant_inst,[status(thm)],[])).
% 8.99/6.56 tff(20192,plain,
% 8.99/6.56 ((~![B: $i] : ((~less_3(B)) | (v123(constB126, B) <=> v121(constB125, B)))) | (~less_3(bitIndex1)) | (v123(constB126, bitIndex1) <=> v121(constB125, bitIndex1))),
% 8.99/6.56 inference(modus_ponens,[status(thm)],[20191, 20190])).
% 8.99/6.56 tff(20193,plain,
% 8.99/6.56 (v123(constB126, bitIndex1) <=> v121(constB125, bitIndex1)),
% 8.99/6.56 inference(unit_resolution,[status(thm)],[20192, 9785, 20118])).
% 8.99/6.56 tff(20194,plain,
% 8.99/6.56 (((~![B: $i] : ((~less_3(B)) | (v121(constB125, B) <=> v124(constB125, B)))) | ((~less_3(bitIndex1)) | (v121(constB125, bitIndex1) <=> v124(constB125, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB125, B) <=> v124(constB125, B)))) | (~less_3(bitIndex1)) | (v121(constB125, bitIndex1) <=> v124(constB125, bitIndex1)))),
% 8.99/6.56 inference(rewrite,[status(thm)],[])).
% 8.99/6.56 tff(20195,plain,
% 8.99/6.56 ((~![B: $i] : ((~less_3(B)) | (v121(constB125, B) <=> v124(constB125, B)))) | ((~less_3(bitIndex1)) | (v121(constB125, bitIndex1) <=> v124(constB125, bitIndex1)))),
% 8.99/6.56 inference(quant_inst,[status(thm)],[])).
% 8.99/6.56 tff(20196,plain,
% 8.99/6.56 ((~![B: $i] : ((~less_3(B)) | (v121(constB125, B) <=> v124(constB125, B)))) | (~less_3(bitIndex1)) | (v121(constB125, bitIndex1) <=> v124(constB125, bitIndex1))),
% 8.99/6.56 inference(modus_ponens,[status(thm)],[20195, 20194])).
% 8.99/6.56 tff(20197,plain,
% 8.99/6.56 (v121(constB125, bitIndex1) <=> v124(constB125, bitIndex1)),
% 8.99/6.56 inference(unit_resolution,[status(thm)],[20196, 9785, 20126])).
% 8.99/6.56 tff(20198,plain,
% 8.99/6.56 (((~![B: $i] : ((~less_3(B)) | (v124(constB125, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v124(constB125, bitIndex1) <=> b011(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB125, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v124(constB125, bitIndex1) <=> b011(bitIndex1)))),
% 8.99/6.56 inference(rewrite,[status(thm)],[])).
% 8.99/6.56 tff(20199,plain,
% 8.99/6.56 ((~![B: $i] : ((~less_3(B)) | (v124(constB125, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v124(constB125, bitIndex1) <=> b011(bitIndex1)))),
% 8.99/6.56 inference(quant_inst,[status(thm)],[])).
% 8.99/6.56 tff(20200,plain,
% 8.99/6.56 ((~![B: $i] : ((~less_3(B)) | (v124(constB125, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v124(constB125, bitIndex1) <=> b011(bitIndex1))),
% 8.99/6.56 inference(modus_ponens,[status(thm)],[20199, 20198])).
% 8.99/6.56 tff(20201,plain,
% 8.99/6.56 (v124(constB125, bitIndex1) <=> b011(bitIndex1)),
% 8.99/6.56 inference(unit_resolution,[status(thm)],[20200, 9785, 20135])).
% 8.99/6.56 tff(20202,plain,
% 8.99/6.56 ((~(v124(constB125, bitIndex1) <=> b011(bitIndex1))) | v124(constB125, bitIndex1) | (~b011(bitIndex1))),
% 8.99/6.56 inference(tautology,[status(thm)],[])).
% 8.99/6.56 tff(20203,plain,
% 8.99/6.56 ((~(v124(constB125, bitIndex1) <=> b011(bitIndex1))) | v124(constB125, bitIndex1)),
% 8.99/6.56 inference(unit_resolution,[status(thm)],[20202, 10409])).
% 8.99/6.56 tff(20204,plain,
% 8.99/6.56 (v124(constB125, bitIndex1)),
% 8.99/6.56 inference(unit_resolution,[status(thm)],[20203, 20201])).
% 8.99/6.56 tff(20205,plain,
% 8.99/6.56 ((~(v121(constB125, bitIndex1) <=> v124(constB125, bitIndex1))) | v121(constB125, bitIndex1) | (~v124(constB125, bitIndex1))),
% 8.99/6.56 inference(tautology,[status(thm)],[])).
% 8.99/6.56 tff(20206,plain,
% 8.99/6.56 (v121(constB125, bitIndex1)),
% 8.99/6.56 inference(unit_resolution,[status(thm)],[20205, 20204, 20197])).
% 8.99/6.56 tff(20207,plain,
% 8.99/6.56 ((~(v123(constB126, bitIndex1) <=> v121(constB125, bitIndex1))) | v123(constB126, bitIndex1) | (~v121(constB125, bitIndex1))),
% 8.99/6.56 inference(tautology,[status(thm)],[])).
% 8.99/6.56 tff(20208,plain,
% 8.99/6.56 (v123(constB126, bitIndex1)),
% 8.99/6.56 inference(unit_resolution,[status(thm)],[20207, 20206, 20193])).
% 8.99/6.56 tff(20209,plain,
% 8.99/6.56 ((~(v84(constB126, bitIndex1) <=> v123(constB126, bitIndex1))) | v84(constB126, bitIndex1) | (~v123(constB126, bitIndex1))),
% 8.99/6.56 inference(tautology,[status(thm)],[])).
% 8.99/6.56 tff(20210,plain,
% 8.99/6.56 (v84(constB126, bitIndex1)),
% 8.99/6.56 inference(unit_resolution,[status(thm)],[20209, 20208, 20189])).
% 8.99/6.56 tff(20211,plain,
% 8.99/6.56 ((~(v84(constB127, bitIndex1) <=> v84(constB126, bitIndex1))) | v84(constB127, bitIndex1) | (~v84(constB126, bitIndex1))),
% 8.99/6.56 inference(tautology,[status(thm)],[])).
% 8.99/6.56 tff(20212,plain,
% 8.99/6.56 (v84(constB127, bitIndex1)),
% 8.99/6.56 inference(unit_resolution,[status(thm)],[20211, 20210, 20185])).
% 8.99/6.56 tff(20213,plain,
% 8.99/6.56 ((~(v84(constB127, bitIndex2) | (~v84(constB127, bitIndex1)) | (~v84(constB127, bitIndex0)))) | v84(constB127, bitIndex2) | (~v84(constB127, bitIndex1)) | (~v84(constB127, bitIndex0))),
% 8.99/6.56 inference(tautology,[status(thm)],[])).
% 8.99/6.56 tff(20214,plain,
% 8.99/6.56 (~(v84(constB127, bitIndex2) | (~v84(constB127, bitIndex1)) | (~v84(constB127, bitIndex0)))),
% 8.99/6.56 inference(unit_resolution,[status(thm)],[20213, 20212, 20181, 20150])).
% 8.99/6.56 tff(20215,plain,
% 8.99/6.56 ((~(v116(constB127) <=> (~(v84(constB127, bitIndex2) | (~v84(constB127, bitIndex1)) | (~v84(constB127, bitIndex0)))))) | v116(constB127) | (v84(constB127, bitIndex2) | (~v84(constB127, bitIndex1)) | (~v84(constB127, bitIndex0)))),
% 8.99/6.56 inference(tautology,[status(thm)],[])).
% 8.99/6.56 tff(20216,plain,
% 8.99/6.56 (v116(constB127)),
% 8.99/6.56 inference(unit_resolution,[status(thm)],[20215, 20214, 3974])).
% 8.99/6.56 tff(20217,plain,
% 8.99/6.56 ((v111(constB127) | v116(constB127)) | (~v116(constB127))),
% 8.99/6.56 inference(tautology,[status(thm)],[])).
% 8.99/6.56 tff(20218,plain,
% 8.99/6.56 (v111(constB127) | v116(constB127)),
% 8.99/6.56 inference(unit_resolution,[status(thm)],[20217, 20216])).
% 8.99/6.56 tff(20219,plain,
% 8.99/6.56 ((~(v110(constB127) <=> (v111(constB127) | v116(constB127)))) | v110(constB127) | (~(v111(constB127) | v116(constB127)))),
% 8.99/6.56 inference(tautology,[status(thm)],[])).
% 8.99/6.56 tff(20220,plain,
% 8.99/6.56 (v110(constB127)),
% 8.99/6.56 inference(unit_resolution,[status(thm)],[20219, 20218, 3972])).
% 8.99/6.56 tff(20221,plain,
% 8.99/6.56 ((v110(constB127) | v117(constB127)) | (~v110(constB127))),
% 8.99/6.56 inference(tautology,[status(thm)],[])).
% 8.99/6.56 tff(20222,plain,
% 8.99/6.56 (v110(constB127) | v117(constB127)),
% 8.99/6.56 inference(unit_resolution,[status(thm)],[20221, 20220])).
% 8.99/6.56 tff(20223,plain,
% 8.99/6.56 ((~(v109(constB127) <=> (v110(constB127) | v117(constB127)))) | v109(constB127) | (~(v110(constB127) | v117(constB127)))),
% 8.99/6.56 inference(tautology,[status(thm)],[])).
% 8.99/6.56 tff(20224,plain,
% 8.99/6.56 (v109(constB127)),
% 8.99/6.56 inference(unit_resolution,[status(thm)],[20223, 20222, 3970])).
% 8.99/6.56 tff(20225,plain,
% 8.99/6.56 ((v109(constB127) | v118(constB127)) | (~v109(constB127))),
% 8.99/6.56 inference(tautology,[status(thm)],[])).
% 8.99/6.56 tff(20226,plain,
% 8.99/6.56 (v109(constB127) | v118(constB127)),
% 8.99/6.56 inference(unit_resolution,[status(thm)],[20225, 20224])).
% 8.99/6.56 tff(20227,plain,
% 8.99/6.56 ((~(v108(constB127) <=> (v109(constB127) | v118(constB127)))) | v108(constB127) | (~(v109(constB127) | v118(constB127)))),
% 8.99/6.56 inference(tautology,[status(thm)],[])).
% 8.99/6.56 tff(20228,plain,
% 8.99/6.56 (v108(constB127)),
% 8.99/6.56 inference(unit_resolution,[status(thm)],[20227, 20226, 3968])).
% 8.99/6.56 tff(20229,plain,
% 8.99/6.56 ((v108(constB127) | v119(constB127)) | (~v108(constB127))),
% 8.99/6.56 inference(tautology,[status(thm)],[])).
% 8.99/6.56 tff(20230,plain,
% 8.99/6.56 (v108(constB127) | v119(constB127)),
% 8.99/6.56 inference(unit_resolution,[status(thm)],[20229, 20228])).
% 8.99/6.56 tff(20231,plain,
% 8.99/6.56 ((~(v107(constB127) <=> (v108(constB127) | v119(constB127)))) | v107(constB127) | (~(v108(constB127) | v119(constB127)))),
% 8.99/6.56 inference(tautology,[status(thm)],[])).
% 8.99/6.56 tff(20232,plain,
% 8.99/6.56 (v107(constB127)),
% 8.99/6.56 inference(unit_resolution,[status(thm)],[20231, 20230, 3966])).
% 8.99/6.56 tff(20233,plain,
% 8.99/6.56 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB127)) <=> v105(constB127))),
% 8.99/6.56 inference(quant_inst,[status(thm)],[])).
% 8.99/6.56 tff(20234,plain,
% 8.99/6.56 ((~v120(constB127)) <=> v105(constB127)),
% 8.99/6.56 inference(unit_resolution,[status(thm)],[20233, 9842])).
% 8.99/6.56 tff(20235,plain,
% 8.99/6.56 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB127) <=> v26(constB127))),
% 8.99/6.56 inference(quant_inst,[status(thm)],[])).
% 8.99/6.56 tff(20236,plain,
% 8.99/6.56 (v105(constB127) <=> v26(constB127)),
% 8.99/6.56 inference(unit_resolution,[status(thm)],[20235, 9854])).
% 8.99/6.56 tff(20237,plain,
% 8.99/6.56 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB127))),
% 8.99/6.56 inference(quant_inst,[status(thm)],[])).
% 8.99/6.56 tff(20238,plain,
% 8.99/6.56 (~v26(constB127)),
% 8.99/6.56 inference(unit_resolution,[status(thm)],[20237, 9866])).
% 8.99/6.56 tff(20239,plain,
% 8.99/6.56 ((~(v105(constB127) <=> v26(constB127))) | (~v105(constB127)) | v26(constB127)),
% 8.99/6.56 inference(tautology,[status(thm)],[])).
% 8.99/6.56 tff(20240,plain,
% 8.99/6.56 ((~(v105(constB127) <=> v26(constB127))) | (~v105(constB127))),
% 8.99/6.56 inference(unit_resolution,[status(thm)],[20239, 20238])).
% 8.99/6.56 tff(20241,plain,
% 8.99/6.56 (~v105(constB127)),
% 8.99/6.56 inference(unit_resolution,[status(thm)],[20240, 20236])).
% 8.99/6.56 tff(20242,plain,
% 8.99/6.56 ((~((~v120(constB127)) <=> v105(constB127))) | v120(constB127) | v105(constB127)),
% 8.99/6.56 inference(tautology,[status(thm)],[])).
% 8.99/6.56 tff(20243,plain,
% 8.99/6.56 ((~((~v120(constB127)) <=> v105(constB127))) | v120(constB127)),
% 8.99/6.56 inference(unit_resolution,[status(thm)],[20242, 20241])).
% 8.99/6.56 tff(20244,plain,
% 8.99/6.56 (v120(constB127)),
% 8.99/6.56 inference(unit_resolution,[status(thm)],[20243, 20234])).
% 8.99/6.56 tff(20245,plain,
% 8.99/6.56 ((~((~v107(constB127)) | (~v120(constB127)))) | (~v107(constB127)) | (~v120(constB127))),
% 8.99/6.56 inference(tautology,[status(thm)],[])).
% 8.99/6.56 tff(20246,plain,
% 8.99/6.56 ((~((~v107(constB127)) | (~v120(constB127)))) | (~v107(constB127))),
% 8.99/6.56 inference(unit_resolution,[status(thm)],[20245, 20244])).
% 8.99/6.56 tff(20247,plain,
% 8.99/6.56 (~((~v107(constB127)) | (~v120(constB127)))),
% 8.99/6.56 inference(unit_resolution,[status(thm)],[20246, 20232])).
% 8.99/6.56 tff(20248,plain,
% 8.99/6.56 ((~(v106(constB127) <=> (~((~v107(constB127)) | (~v120(constB127)))))) | v106(constB127) | ((~v107(constB127)) | (~v120(constB127)))),
% 8.99/6.56 inference(tautology,[status(thm)],[])).
% 8.99/6.56 tff(20249,plain,
% 8.99/6.56 (v106(constB127)),
% 8.99/6.56 inference(unit_resolution,[status(thm)],[20248, 20247, 3964])).
% 8.99/6.56 tff(20250,plain,
% 8.99/6.56 ((v105(constB127) | v106(constB127)) | (~v106(constB127))),
% 8.99/6.56 inference(tautology,[status(thm)],[])).
% 8.99/6.56 tff(20251,plain,
% 8.99/6.56 (v105(constB127) | v106(constB127)),
% 8.99/6.56 inference(unit_resolution,[status(thm)],[20250, 20249])).
% 8.99/6.56 tff(20252,plain,
% 8.99/6.56 ((~(v102(constB127) <=> (v105(constB127) | v106(constB127)))) | v102(constB127) | (~(v105(constB127) | v106(constB127)))),
% 8.99/6.56 inference(tautology,[status(thm)],[])).
% 8.99/6.56 tff(20253,plain,
% 8.99/6.56 (v102(constB127)),
% 8.99/6.56 inference(unit_resolution,[status(thm)],[20252, 20251, 3962])).
% 8.99/6.56 tff(20254,plain,
% 8.99/6.56 ((~(v104(constB128) <=> v102(constB127))) | v104(constB128) | (~v102(constB127))),
% 8.99/6.56 inference(tautology,[status(thm)],[])).
% 8.99/6.56 tff(20255,plain,
% 8.99/6.56 (v104(constB128)),
% 8.99/6.56 inference(unit_resolution,[status(thm)],[20254, 20253, 3960])).
% 8.99/6.56 tff(20256,plain,
% 8.99/6.56 ((~((~v104(constB128)) | (~v95(constB128)))) | (~v104(constB128)) | (~v95(constB128))),
% 8.99/6.56 inference(tautology,[status(thm)],[])).
% 8.99/6.56 tff(20257,plain,
% 8.99/6.56 (~((~v104(constB128)) | (~v95(constB128)))),
% 8.99/6.56 inference(unit_resolution,[status(thm)],[20256, 20255, 3956])).
% 8.99/6.56 tff(20258,plain,
% 8.99/6.56 ((~(v94(constB128) <=> (~((~v104(constB128)) | (~v95(constB128)))))) | v94(constB128) | ((~v104(constB128)) | (~v95(constB128)))),
% 8.99/6.56 inference(tautology,[status(thm)],[])).
% 8.99/6.56 tff(20259,plain,
% 8.99/6.56 (v94(constB128)),
% 8.99/6.56 inference(unit_resolution,[status(thm)],[20258, 20257, 3925])).
% 8.99/6.56 tff(20260,plain,
% 8.99/6.56 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB128)) | ![B: $i] : ((~less_3(B)) | (v84(constB128, B) <=> v123(constB128, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB128)) | ![B: $i] : ((~less_3(B)) | (v84(constB128, B) <=> v123(constB128, B))))),
% 8.99/6.56 inference(rewrite,[status(thm)],[])).
% 8.99/6.56 tff(20261,plain,
% 8.99/6.56 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB128)) | ![B: $i] : ((~less_3(B)) | (v84(constB128, B) <=> v123(constB128, B))))),
% 8.99/6.56 inference(quant_inst,[status(thm)],[])).
% 8.99/6.56 tff(20262,plain,
% 8.99/6.56 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB128)) | ![B: $i] : ((~less_3(B)) | (v84(constB128, B) <=> v123(constB128, B)))),
% 8.99/6.56 inference(modus_ponens,[status(thm)],[20261, 20260])).
% 8.99/6.56 tff(20263,plain,
% 8.99/6.56 ((~v94(constB128)) | ![B: $i] : ((~less_3(B)) | (v84(constB128, B) <=> v123(constB128, B)))),
% 8.99/6.56 inference(unit_resolution,[status(thm)],[20262, 9902])).
% 8.99/6.56 tff(20264,plain,
% 8.99/6.56 (![B: $i] : ((~less_3(B)) | (v84(constB128, B) <=> v123(constB128, B)))),
% 8.99/6.56 inference(unit_resolution,[status(thm)],[20263, 20259])).
% 8.99/6.56 tff(20265,plain,
% 8.99/6.56 (((~![B: $i] : ((~less_3(B)) | (v84(constB128, B) <=> v123(constB128, B)))) | ((~less_3(bitIndex2)) | (v84(constB128, bitIndex2) <=> v123(constB128, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB128, B) <=> v123(constB128, B)))) | (~less_3(bitIndex2)) | (v84(constB128, bitIndex2) <=> v123(constB128, bitIndex2)))),
% 8.99/6.56 inference(rewrite,[status(thm)],[])).
% 8.99/6.56 tff(20266,plain,
% 8.99/6.56 ((~![B: $i] : ((~less_3(B)) | (v84(constB128, B) <=> v123(constB128, B)))) | ((~less_3(bitIndex2)) | (v84(constB128, bitIndex2) <=> v123(constB128, bitIndex2)))),
% 8.99/6.56 inference(quant_inst,[status(thm)],[])).
% 8.99/6.56 tff(20267,plain,
% 8.99/6.56 ((~![B: $i] : ((~less_3(B)) | (v84(constB128, B) <=> v123(constB128, B)))) | (~less_3(bitIndex2)) | (v84(constB128, bitIndex2) <=> v123(constB128, bitIndex2))),
% 8.99/6.56 inference(modus_ponens,[status(thm)],[20266, 20265])).
% 8.99/6.56 tff(20268,plain,
% 8.99/6.56 (v84(constB128, bitIndex2) <=> v123(constB128, bitIndex2)),
% 8.99/6.56 inference(unit_resolution,[status(thm)],[20267, 832, 20264])).
% 8.99/6.56 tff(20269,plain,
% 8.99/6.56 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB127, constB128)) | ![B: $i] : ((~less_3(B)) | (v123(constB128, B) <=> v121(constB127, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB127, constB128)) | ![B: $i] : ((~less_3(B)) | (v123(constB128, B) <=> v121(constB127, B))))),
% 8.99/6.56 inference(rewrite,[status(thm)],[])).
% 8.99/6.56 tff(20270,plain,
% 8.99/6.56 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB127, constB128)) | ![B: $i] : ((~less_3(B)) | (v123(constB128, B) <=> v121(constB127, B))))),
% 8.99/6.56 inference(quant_inst,[status(thm)],[])).
% 8.99/6.56 tff(20271,plain,
% 8.99/6.56 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB127, constB128)) | ![B: $i] : ((~less_3(B)) | (v123(constB128, B) <=> v121(constB127, B)))),
% 8.99/6.56 inference(modus_ponens,[status(thm)],[20270, 20269])).
% 8.99/6.56 tff(20272,plain,
% 8.99/6.56 (![B: $i] : ((~less_3(B)) | (v123(constB128, B) <=> v121(constB127, B)))),
% 8.99/6.56 inference(unit_resolution,[status(thm)],[20271, 3921, 9924])).
% 8.99/6.56 tff(20273,plain,
% 8.99/6.56 (((~![B: $i] : ((~less_3(B)) | (v123(constB128, B) <=> v121(constB127, B)))) | ((~less_3(bitIndex2)) | (v123(constB128, bitIndex2) <=> v121(constB127, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB128, B) <=> v121(constB127, B)))) | (~less_3(bitIndex2)) | (v123(constB128, bitIndex2) <=> v121(constB127, bitIndex2)))),
% 8.99/6.56 inference(rewrite,[status(thm)],[])).
% 8.99/6.56 tff(20274,plain,
% 8.99/6.56 ((~![B: $i] : ((~less_3(B)) | (v123(constB128, B) <=> v121(constB127, B)))) | ((~less_3(bitIndex2)) | (v123(constB128, bitIndex2) <=> v121(constB127, bitIndex2)))),
% 8.99/6.56 inference(quant_inst,[status(thm)],[])).
% 8.99/6.56 tff(20275,plain,
% 8.99/6.56 ((~![B: $i] : ((~less_3(B)) | (v123(constB128, B) <=> v121(constB127, B)))) | (~less_3(bitIndex2)) | (v123(constB128, bitIndex2) <=> v121(constB127, bitIndex2))),
% 8.99/6.56 inference(modus_ponens,[status(thm)],[20274, 20273])).
% 8.99/6.56 tff(20276,plain,
% 8.99/6.56 (v123(constB128, bitIndex2) <=> v121(constB127, bitIndex2)),
% 8.99/6.56 inference(unit_resolution,[status(thm)],[20275, 832, 20272])).
% 8.99/6.56 tff(20277,plain,
% 8.99/6.56 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB127) | ![B: $i] : ((~less_3(B)) | (v121(constB127, B) <=> v124(constB127, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB127) | ![B: $i] : ((~less_3(B)) | (v121(constB127, B) <=> v124(constB127, B))))),
% 8.99/6.56 inference(rewrite,[status(thm)],[])).
% 8.99/6.56 tff(20278,plain,
% 8.99/6.56 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB127) | ![B: $i] : ((~less_3(B)) | (v121(constB127, B) <=> v124(constB127, B))))),
% 8.99/6.56 inference(quant_inst,[status(thm)],[])).
% 8.99/6.56 tff(20279,plain,
% 8.99/6.56 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB127) | ![B: $i] : ((~less_3(B)) | (v121(constB127, B) <=> v124(constB127, B)))),
% 8.99/6.56 inference(modus_ponens,[status(thm)],[20278, 20277])).
% 8.99/6.56 tff(20280,plain,
% 8.99/6.56 (![B: $i] : ((~less_3(B)) | (v121(constB127, B) <=> v124(constB127, B)))),
% 8.99/6.56 inference(unit_resolution,[status(thm)],[20279, 9945, 20241])).
% 8.99/6.56 tff(20281,plain,
% 8.99/6.56 (((~![B: $i] : ((~less_3(B)) | (v121(constB127, B) <=> v124(constB127, B)))) | ((~less_3(bitIndex2)) | (v121(constB127, bitIndex2) <=> v124(constB127, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB127, B) <=> v124(constB127, B)))) | (~less_3(bitIndex2)) | (v121(constB127, bitIndex2) <=> v124(constB127, bitIndex2)))),
% 8.99/6.56 inference(rewrite,[status(thm)],[])).
% 8.99/6.56 tff(20282,plain,
% 8.99/6.56 ((~![B: $i] : ((~less_3(B)) | (v121(constB127, B) <=> v124(constB127, B)))) | ((~less_3(bitIndex2)) | (v121(constB127, bitIndex2) <=> v124(constB127, bitIndex2)))),
% 8.99/6.56 inference(quant_inst,[status(thm)],[])).
% 8.99/6.56 tff(20283,plain,
% 8.99/6.56 ((~![B: $i] : ((~less_3(B)) | (v121(constB127, B) <=> v124(constB127, B)))) | (~less_3(bitIndex2)) | (v121(constB127, bitIndex2) <=> v124(constB127, bitIndex2))),
% 8.99/6.56 inference(modus_ponens,[status(thm)],[20282, 20281])).
% 8.99/6.56 tff(20284,plain,
% 8.99/6.56 (v121(constB127, bitIndex2) <=> v124(constB127, bitIndex2)),
% 8.99/6.56 inference(unit_resolution,[status(thm)],[20283, 832, 20280])).
% 8.99/6.56 tff(20285,plain,
% 8.99/6.56 (((~![VarCurr: $i] : ((~v116(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b100(B))))) | ((~v116(constB127)) | ![B: $i] : ((~less_3(B)) | (v124(constB127, B) <=> b100(B))))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b100(B))))) | (~v116(constB127)) | ![B: $i] : ((~less_3(B)) | (v124(constB127, B) <=> b100(B))))),
% 8.99/6.56 inference(rewrite,[status(thm)],[])).
% 8.99/6.56 tff(20286,plain,
% 8.99/6.56 ((~![VarCurr: $i] : ((~v116(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b100(B))))) | ((~v116(constB127)) | ![B: $i] : ((~less_3(B)) | (v124(constB127, B) <=> b100(B))))),
% 8.99/6.56 inference(quant_inst,[status(thm)],[])).
% 8.99/6.56 tff(20287,plain,
% 8.99/6.56 ((~![VarCurr: $i] : ((~v116(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b100(B))))) | (~v116(constB127)) | ![B: $i] : ((~less_3(B)) | (v124(constB127, B) <=> b100(B)))),
% 8.99/6.56 inference(modus_ponens,[status(thm)],[20286, 20285])).
% 8.99/6.56 tff(20288,plain,
% 8.99/6.56 ((~v116(constB127)) | ![B: $i] : ((~less_3(B)) | (v124(constB127, B) <=> b100(B)))),
% 8.99/6.56 inference(unit_resolution,[status(thm)],[20287, 10505])).
% 8.99/6.56 tff(20289,plain,
% 8.99/6.56 (![B: $i] : ((~less_3(B)) | (v124(constB127, B) <=> b100(B)))),
% 8.99/6.56 inference(unit_resolution,[status(thm)],[20288, 20216])).
% 8.99/6.56 tff(20290,plain,
% 8.99/6.56 (((~![B: $i] : ((~less_3(B)) | (v124(constB127, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v124(constB127, bitIndex2) <=> b100(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB127, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v124(constB127, bitIndex2) <=> b100(bitIndex2)))),
% 8.99/6.56 inference(rewrite,[status(thm)],[])).
% 8.99/6.56 tff(20291,plain,
% 8.99/6.56 ((~![B: $i] : ((~less_3(B)) | (v124(constB127, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v124(constB127, bitIndex2) <=> b100(bitIndex2)))),
% 8.99/6.56 inference(quant_inst,[status(thm)],[])).
% 8.99/6.56 tff(20292,plain,
% 8.99/6.56 ((~![B: $i] : ((~less_3(B)) | (v124(constB127, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v124(constB127, bitIndex2) <=> b100(bitIndex2))),
% 8.99/6.56 inference(modus_ponens,[status(thm)],[20291, 20290])).
% 8.99/6.56 tff(20293,plain,
% 8.99/6.56 (v124(constB127, bitIndex2) <=> b100(bitIndex2)),
% 8.99/6.56 inference(unit_resolution,[status(thm)],[20292, 832, 20289])).
% 8.99/6.56 tff(20294,plain,
% 8.99/6.56 ((~(v124(constB127, bitIndex2) <=> b100(bitIndex2))) | v124(constB127, bitIndex2) | (~b100(bitIndex2))),
% 8.99/6.56 inference(tautology,[status(thm)],[])).
% 8.99/6.56 tff(20295,plain,
% 8.99/6.56 ((~(v124(constB127, bitIndex2) <=> b100(bitIndex2))) | v124(constB127, bitIndex2)),
% 8.99/6.56 inference(unit_resolution,[status(thm)],[20294, 10517])).
% 8.99/6.56 tff(20296,plain,
% 8.99/6.56 (v124(constB127, bitIndex2)),
% 8.99/6.56 inference(unit_resolution,[status(thm)],[20295, 20293])).
% 8.99/6.56 tff(20297,plain,
% 8.99/6.56 ((~(v121(constB127, bitIndex2) <=> v124(constB127, bitIndex2))) | v121(constB127, bitIndex2) | (~v124(constB127, bitIndex2))),
% 8.99/6.56 inference(tautology,[status(thm)],[])).
% 8.99/6.56 tff(20298,plain,
% 8.99/6.56 (v121(constB127, bitIndex2)),
% 8.99/6.56 inference(unit_resolution,[status(thm)],[20297, 20296, 20284])).
% 8.99/6.57 tff(20299,plain,
% 8.99/6.57 ((~(v123(constB128, bitIndex2) <=> v121(constB127, bitIndex2))) | v123(constB128, bitIndex2) | (~v121(constB127, bitIndex2))),
% 8.99/6.57 inference(tautology,[status(thm)],[])).
% 8.99/6.57 tff(20300,plain,
% 8.99/6.57 (v123(constB128, bitIndex2)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[20299, 20298, 20276])).
% 8.99/6.57 tff(20301,plain,
% 8.99/6.57 ((~(v84(constB128, bitIndex2) <=> v123(constB128, bitIndex2))) | v84(constB128, bitIndex2) | (~v123(constB128, bitIndex2))),
% 8.99/6.57 inference(tautology,[status(thm)],[])).
% 8.99/6.57 tff(20302,plain,
% 8.99/6.57 (v84(constB128, bitIndex2)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[20301, 20300, 20268])).
% 8.99/6.57 tff(20303,plain,
% 8.99/6.57 ((~(v84(constB129, bitIndex2) <=> v84(constB128, bitIndex2))) | v84(constB129, bitIndex2) | (~v84(constB128, bitIndex2))),
% 8.99/6.57 inference(tautology,[status(thm)],[])).
% 8.99/6.57 tff(20304,plain,
% 8.99/6.57 (v84(constB129, bitIndex2)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[20303, 20302, 3918])).
% 8.99/6.57 tff(20305,plain,
% 8.99/6.57 (((~![B: $i] : ((~less_3(B)) | (v84(constB129, B) <=> v84(constB128, B)))) | ((~less_3(bitIndex0)) | (v84(constB129, bitIndex0) <=> v84(constB128, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB129, B) <=> v84(constB128, B)))) | (~less_3(bitIndex0)) | (v84(constB129, bitIndex0) <=> v84(constB128, bitIndex0)))),
% 8.99/6.57 inference(rewrite,[status(thm)],[])).
% 8.99/6.57 tff(20306,plain,
% 8.99/6.57 ((~![B: $i] : ((~less_3(B)) | (v84(constB129, B) <=> v84(constB128, B)))) | ((~less_3(bitIndex0)) | (v84(constB129, bitIndex0) <=> v84(constB128, bitIndex0)))),
% 8.99/6.57 inference(quant_inst,[status(thm)],[])).
% 8.99/6.57 tff(20307,plain,
% 8.99/6.57 ((~![B: $i] : ((~less_3(B)) | (v84(constB129, B) <=> v84(constB128, B)))) | (~less_3(bitIndex0)) | (v84(constB129, bitIndex0) <=> v84(constB128, bitIndex0))),
% 8.99/6.57 inference(modus_ponens,[status(thm)],[20306, 20305])).
% 8.99/6.57 tff(20308,plain,
% 8.99/6.57 (v84(constB129, bitIndex0) <=> v84(constB128, bitIndex0)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[20307, 9772, 3914])).
% 8.99/6.57 tff(20309,plain,
% 8.99/6.57 (((~![B: $i] : ((~less_3(B)) | (v84(constB128, B) <=> v123(constB128, B)))) | ((~less_3(bitIndex0)) | (v84(constB128, bitIndex0) <=> v123(constB128, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB128, B) <=> v123(constB128, B)))) | (~less_3(bitIndex0)) | (v84(constB128, bitIndex0) <=> v123(constB128, bitIndex0)))),
% 8.99/6.57 inference(rewrite,[status(thm)],[])).
% 8.99/6.57 tff(20310,plain,
% 8.99/6.57 ((~![B: $i] : ((~less_3(B)) | (v84(constB128, B) <=> v123(constB128, B)))) | ((~less_3(bitIndex0)) | (v84(constB128, bitIndex0) <=> v123(constB128, bitIndex0)))),
% 8.99/6.57 inference(quant_inst,[status(thm)],[])).
% 8.99/6.57 tff(20311,plain,
% 8.99/6.57 ((~![B: $i] : ((~less_3(B)) | (v84(constB128, B) <=> v123(constB128, B)))) | (~less_3(bitIndex0)) | (v84(constB128, bitIndex0) <=> v123(constB128, bitIndex0))),
% 8.99/6.57 inference(modus_ponens,[status(thm)],[20310, 20309])).
% 8.99/6.57 tff(20312,plain,
% 8.99/6.57 (v84(constB128, bitIndex0) <=> v123(constB128, bitIndex0)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[20311, 9772, 20264])).
% 8.99/6.57 tff(20313,plain,
% 8.99/6.57 (((~![B: $i] : ((~less_3(B)) | (v123(constB128, B) <=> v121(constB127, B)))) | ((~less_3(bitIndex0)) | (v123(constB128, bitIndex0) <=> v121(constB127, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB128, B) <=> v121(constB127, B)))) | (~less_3(bitIndex0)) | (v123(constB128, bitIndex0) <=> v121(constB127, bitIndex0)))),
% 8.99/6.57 inference(rewrite,[status(thm)],[])).
% 8.99/6.57 tff(20314,plain,
% 8.99/6.57 ((~![B: $i] : ((~less_3(B)) | (v123(constB128, B) <=> v121(constB127, B)))) | ((~less_3(bitIndex0)) | (v123(constB128, bitIndex0) <=> v121(constB127, bitIndex0)))),
% 8.99/6.57 inference(quant_inst,[status(thm)],[])).
% 8.99/6.57 tff(20315,plain,
% 8.99/6.57 ((~![B: $i] : ((~less_3(B)) | (v123(constB128, B) <=> v121(constB127, B)))) | (~less_3(bitIndex0)) | (v123(constB128, bitIndex0) <=> v121(constB127, bitIndex0))),
% 8.99/6.57 inference(modus_ponens,[status(thm)],[20314, 20313])).
% 8.99/6.57 tff(20316,plain,
% 8.99/6.57 (v123(constB128, bitIndex0) <=> v121(constB127, bitIndex0)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[20315, 9772, 20272])).
% 8.99/6.57 tff(20317,plain,
% 8.99/6.57 (((~![B: $i] : ((~less_3(B)) | (v121(constB127, B) <=> v124(constB127, B)))) | ((~less_3(bitIndex0)) | (v121(constB127, bitIndex0) <=> v124(constB127, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB127, B) <=> v124(constB127, B)))) | (~less_3(bitIndex0)) | (v121(constB127, bitIndex0) <=> v124(constB127, bitIndex0)))),
% 8.99/6.57 inference(rewrite,[status(thm)],[])).
% 8.99/6.57 tff(20318,plain,
% 8.99/6.57 ((~![B: $i] : ((~less_3(B)) | (v121(constB127, B) <=> v124(constB127, B)))) | ((~less_3(bitIndex0)) | (v121(constB127, bitIndex0) <=> v124(constB127, bitIndex0)))),
% 8.99/6.57 inference(quant_inst,[status(thm)],[])).
% 8.99/6.57 tff(20319,plain,
% 8.99/6.57 ((~![B: $i] : ((~less_3(B)) | (v121(constB127, B) <=> v124(constB127, B)))) | (~less_3(bitIndex0)) | (v121(constB127, bitIndex0) <=> v124(constB127, bitIndex0))),
% 8.99/6.57 inference(modus_ponens,[status(thm)],[20318, 20317])).
% 8.99/6.57 tff(20320,plain,
% 8.99/6.57 (v121(constB127, bitIndex0) <=> v124(constB127, bitIndex0)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[20319, 9772, 20280])).
% 8.99/6.57 tff(20321,plain,
% 8.99/6.57 (((~![B: $i] : ((~less_3(B)) | (v124(constB127, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v124(constB127, bitIndex0) <=> b100(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB127, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v124(constB127, bitIndex0) <=> b100(bitIndex0)))),
% 8.99/6.57 inference(rewrite,[status(thm)],[])).
% 8.99/6.57 tff(20322,plain,
% 8.99/6.57 ((~![B: $i] : ((~less_3(B)) | (v124(constB127, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v124(constB127, bitIndex0) <=> b100(bitIndex0)))),
% 8.99/6.57 inference(quant_inst,[status(thm)],[])).
% 8.99/6.57 tff(20323,plain,
% 8.99/6.57 ((~![B: $i] : ((~less_3(B)) | (v124(constB127, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v124(constB127, bitIndex0) <=> b100(bitIndex0))),
% 8.99/6.57 inference(modus_ponens,[status(thm)],[20322, 20321])).
% 8.99/6.57 tff(20324,plain,
% 8.99/6.57 (v124(constB127, bitIndex0) <=> b100(bitIndex0)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[20323, 9772, 20289])).
% 8.99/6.57 tff(20325,plain,
% 8.99/6.57 ((~(v124(constB127, bitIndex0) <=> b100(bitIndex0))) | (~v124(constB127, bitIndex0)) | b100(bitIndex0)),
% 8.99/6.57 inference(tautology,[status(thm)],[])).
% 8.99/6.57 tff(20326,plain,
% 8.99/6.57 ((~(v124(constB127, bitIndex0) <=> b100(bitIndex0))) | (~v124(constB127, bitIndex0))),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[20325, 10551])).
% 8.99/6.57 tff(20327,plain,
% 8.99/6.57 (~v124(constB127, bitIndex0)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[20326, 20324])).
% 8.99/6.57 tff(20328,plain,
% 8.99/6.57 ((~(v121(constB127, bitIndex0) <=> v124(constB127, bitIndex0))) | (~v121(constB127, bitIndex0)) | v124(constB127, bitIndex0)),
% 8.99/6.57 inference(tautology,[status(thm)],[])).
% 8.99/6.57 tff(20329,plain,
% 8.99/6.57 (~v121(constB127, bitIndex0)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[20328, 20327, 20320])).
% 8.99/6.57 tff(20330,plain,
% 8.99/6.57 ((~(v123(constB128, bitIndex0) <=> v121(constB127, bitIndex0))) | (~v123(constB128, bitIndex0)) | v121(constB127, bitIndex0)),
% 8.99/6.57 inference(tautology,[status(thm)],[])).
% 8.99/6.57 tff(20331,plain,
% 8.99/6.57 (~v123(constB128, bitIndex0)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[20330, 20329, 20316])).
% 8.99/6.57 tff(20332,plain,
% 8.99/6.57 ((~(v84(constB128, bitIndex0) <=> v123(constB128, bitIndex0))) | (~v84(constB128, bitIndex0)) | v123(constB128, bitIndex0)),
% 8.99/6.57 inference(tautology,[status(thm)],[])).
% 8.99/6.57 tff(20333,plain,
% 8.99/6.57 (~v84(constB128, bitIndex0)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[20332, 20331, 20312])).
% 8.99/6.57 tff(20334,plain,
% 8.99/6.57 ((~(v84(constB129, bitIndex0) <=> v84(constB128, bitIndex0))) | (~v84(constB129, bitIndex0)) | v84(constB128, bitIndex0)),
% 8.99/6.57 inference(tautology,[status(thm)],[])).
% 8.99/6.57 tff(20335,plain,
% 8.99/6.57 (~v84(constB129, bitIndex0)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[20334, 20333, 20308])).
% 8.99/6.57 tff(20336,plain,
% 8.99/6.57 (((~![B: $i] : ((~less_3(B)) | (v84(constB129, B) <=> v84(constB128, B)))) | ((~less_3(bitIndex1)) | (v84(constB129, bitIndex1) <=> v84(constB128, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB129, B) <=> v84(constB128, B)))) | (~less_3(bitIndex1)) | (v84(constB129, bitIndex1) <=> v84(constB128, bitIndex1)))),
% 8.99/6.57 inference(rewrite,[status(thm)],[])).
% 8.99/6.57 tff(20337,plain,
% 8.99/6.57 ((~![B: $i] : ((~less_3(B)) | (v84(constB129, B) <=> v84(constB128, B)))) | ((~less_3(bitIndex1)) | (v84(constB129, bitIndex1) <=> v84(constB128, bitIndex1)))),
% 8.99/6.57 inference(quant_inst,[status(thm)],[])).
% 8.99/6.57 tff(20338,plain,
% 8.99/6.57 ((~![B: $i] : ((~less_3(B)) | (v84(constB129, B) <=> v84(constB128, B)))) | (~less_3(bitIndex1)) | (v84(constB129, bitIndex1) <=> v84(constB128, bitIndex1))),
% 8.99/6.57 inference(modus_ponens,[status(thm)],[20337, 20336])).
% 8.99/6.57 tff(20339,plain,
% 8.99/6.57 (v84(constB129, bitIndex1) <=> v84(constB128, bitIndex1)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[20338, 9785, 3914])).
% 8.99/6.57 tff(20340,plain,
% 8.99/6.57 (((~![B: $i] : ((~less_3(B)) | (v84(constB128, B) <=> v123(constB128, B)))) | ((~less_3(bitIndex1)) | (v84(constB128, bitIndex1) <=> v123(constB128, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB128, B) <=> v123(constB128, B)))) | (~less_3(bitIndex1)) | (v84(constB128, bitIndex1) <=> v123(constB128, bitIndex1)))),
% 8.99/6.57 inference(rewrite,[status(thm)],[])).
% 8.99/6.57 tff(20341,plain,
% 8.99/6.57 ((~![B: $i] : ((~less_3(B)) | (v84(constB128, B) <=> v123(constB128, B)))) | ((~less_3(bitIndex1)) | (v84(constB128, bitIndex1) <=> v123(constB128, bitIndex1)))),
% 8.99/6.57 inference(quant_inst,[status(thm)],[])).
% 8.99/6.57 tff(20342,plain,
% 8.99/6.57 ((~![B: $i] : ((~less_3(B)) | (v84(constB128, B) <=> v123(constB128, B)))) | (~less_3(bitIndex1)) | (v84(constB128, bitIndex1) <=> v123(constB128, bitIndex1))),
% 8.99/6.57 inference(modus_ponens,[status(thm)],[20341, 20340])).
% 8.99/6.57 tff(20343,plain,
% 8.99/6.57 (v84(constB128, bitIndex1) <=> v123(constB128, bitIndex1)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[20342, 9785, 20264])).
% 8.99/6.57 tff(20344,plain,
% 8.99/6.57 (((~![B: $i] : ((~less_3(B)) | (v123(constB128, B) <=> v121(constB127, B)))) | ((~less_3(bitIndex1)) | (v123(constB128, bitIndex1) <=> v121(constB127, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB128, B) <=> v121(constB127, B)))) | (~less_3(bitIndex1)) | (v123(constB128, bitIndex1) <=> v121(constB127, bitIndex1)))),
% 8.99/6.57 inference(rewrite,[status(thm)],[])).
% 8.99/6.57 tff(20345,plain,
% 8.99/6.57 ((~![B: $i] : ((~less_3(B)) | (v123(constB128, B) <=> v121(constB127, B)))) | ((~less_3(bitIndex1)) | (v123(constB128, bitIndex1) <=> v121(constB127, bitIndex1)))),
% 8.99/6.57 inference(quant_inst,[status(thm)],[])).
% 8.99/6.57 tff(20346,plain,
% 8.99/6.57 ((~![B: $i] : ((~less_3(B)) | (v123(constB128, B) <=> v121(constB127, B)))) | (~less_3(bitIndex1)) | (v123(constB128, bitIndex1) <=> v121(constB127, bitIndex1))),
% 8.99/6.57 inference(modus_ponens,[status(thm)],[20345, 20344])).
% 8.99/6.57 tff(20347,plain,
% 8.99/6.57 (v123(constB128, bitIndex1) <=> v121(constB127, bitIndex1)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[20346, 9785, 20272])).
% 8.99/6.57 tff(20348,plain,
% 8.99/6.57 (((~![B: $i] : ((~less_3(B)) | (v121(constB127, B) <=> v124(constB127, B)))) | ((~less_3(bitIndex1)) | (v121(constB127, bitIndex1) <=> v124(constB127, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB127, B) <=> v124(constB127, B)))) | (~less_3(bitIndex1)) | (v121(constB127, bitIndex1) <=> v124(constB127, bitIndex1)))),
% 8.99/6.57 inference(rewrite,[status(thm)],[])).
% 8.99/6.57 tff(20349,plain,
% 8.99/6.57 ((~![B: $i] : ((~less_3(B)) | (v121(constB127, B) <=> v124(constB127, B)))) | ((~less_3(bitIndex1)) | (v121(constB127, bitIndex1) <=> v124(constB127, bitIndex1)))),
% 8.99/6.57 inference(quant_inst,[status(thm)],[])).
% 8.99/6.57 tff(20350,plain,
% 8.99/6.57 ((~![B: $i] : ((~less_3(B)) | (v121(constB127, B) <=> v124(constB127, B)))) | (~less_3(bitIndex1)) | (v121(constB127, bitIndex1) <=> v124(constB127, bitIndex1))),
% 8.99/6.57 inference(modus_ponens,[status(thm)],[20349, 20348])).
% 8.99/6.57 tff(20351,plain,
% 8.99/6.57 (v121(constB127, bitIndex1) <=> v124(constB127, bitIndex1)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[20350, 9785, 20280])).
% 8.99/6.57 tff(20352,plain,
% 8.99/6.57 (((~![B: $i] : ((~less_3(B)) | (v124(constB127, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v124(constB127, bitIndex1) <=> b100(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB127, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v124(constB127, bitIndex1) <=> b100(bitIndex1)))),
% 8.99/6.57 inference(rewrite,[status(thm)],[])).
% 8.99/6.57 tff(20353,plain,
% 8.99/6.57 ((~![B: $i] : ((~less_3(B)) | (v124(constB127, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v124(constB127, bitIndex1) <=> b100(bitIndex1)))),
% 8.99/6.57 inference(quant_inst,[status(thm)],[])).
% 8.99/6.57 tff(20354,plain,
% 8.99/6.57 ((~![B: $i] : ((~less_3(B)) | (v124(constB127, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v124(constB127, bitIndex1) <=> b100(bitIndex1))),
% 8.99/6.57 inference(modus_ponens,[status(thm)],[20353, 20352])).
% 8.99/6.57 tff(20355,plain,
% 8.99/6.57 (v124(constB127, bitIndex1) <=> b100(bitIndex1)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[20354, 9785, 20289])).
% 8.99/6.57 tff(20356,plain,
% 8.99/6.57 ((~(v124(constB127, bitIndex1) <=> b100(bitIndex1))) | (~v124(constB127, bitIndex1)) | b100(bitIndex1)),
% 8.99/6.57 inference(tautology,[status(thm)],[])).
% 8.99/6.57 tff(20357,plain,
% 8.99/6.57 ((~(v124(constB127, bitIndex1) <=> b100(bitIndex1))) | (~v124(constB127, bitIndex1))),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[20356, 10585])).
% 8.99/6.57 tff(20358,plain,
% 8.99/6.57 (~v124(constB127, bitIndex1)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[20357, 20355])).
% 8.99/6.57 tff(20359,plain,
% 8.99/6.57 ((~(v121(constB127, bitIndex1) <=> v124(constB127, bitIndex1))) | (~v121(constB127, bitIndex1)) | v124(constB127, bitIndex1)),
% 8.99/6.57 inference(tautology,[status(thm)],[])).
% 8.99/6.57 tff(20360,plain,
% 8.99/6.57 (~v121(constB127, bitIndex1)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[20359, 20358, 20351])).
% 8.99/6.57 tff(20361,plain,
% 8.99/6.57 ((~(v123(constB128, bitIndex1) <=> v121(constB127, bitIndex1))) | (~v123(constB128, bitIndex1)) | v121(constB127, bitIndex1)),
% 8.99/6.57 inference(tautology,[status(thm)],[])).
% 8.99/6.57 tff(20362,plain,
% 8.99/6.57 (~v123(constB128, bitIndex1)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[20361, 20360, 20347])).
% 8.99/6.57 tff(20363,plain,
% 8.99/6.57 ((~(v84(constB128, bitIndex1) <=> v123(constB128, bitIndex1))) | (~v84(constB128, bitIndex1)) | v123(constB128, bitIndex1)),
% 8.99/6.57 inference(tautology,[status(thm)],[])).
% 8.99/6.57 tff(20364,plain,
% 8.99/6.57 (~v84(constB128, bitIndex1)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[20363, 20362, 20343])).
% 8.99/6.57 tff(20365,plain,
% 8.99/6.57 ((~(v84(constB129, bitIndex1) <=> v84(constB128, bitIndex1))) | (~v84(constB129, bitIndex1)) | v84(constB128, bitIndex1)),
% 8.99/6.57 inference(tautology,[status(thm)],[])).
% 8.99/6.57 tff(20366,plain,
% 8.99/6.57 (~v84(constB129, bitIndex1)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[20365, 20364, 20339])).
% 8.99/6.57 tff(20367,plain,
% 8.99/6.57 ((~((~v84(constB129, bitIndex2)) | v84(constB129, bitIndex1) | v84(constB129, bitIndex0))) | (~v84(constB129, bitIndex2)) | v84(constB129, bitIndex1) | v84(constB129, bitIndex0)),
% 8.99/6.57 inference(tautology,[status(thm)],[])).
% 8.99/6.57 tff(20368,plain,
% 8.99/6.57 (~((~v84(constB129, bitIndex2)) | v84(constB129, bitIndex1) | v84(constB129, bitIndex0))),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[20367, 20366, 20335, 20304])).
% 8.99/6.57 tff(20369,plain,
% 8.99/6.57 ((~(v117(constB129) <=> (~((~v84(constB129, bitIndex2)) | v84(constB129, bitIndex1) | v84(constB129, bitIndex0))))) | v117(constB129) | ((~v84(constB129, bitIndex2)) | v84(constB129, bitIndex1) | v84(constB129, bitIndex0))),
% 8.99/6.57 inference(tautology,[status(thm)],[])).
% 8.99/6.57 tff(20370,plain,
% 8.99/6.57 (v117(constB129)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[20369, 20368, 3886])).
% 8.99/6.57 tff(20371,plain,
% 8.99/6.57 ((v110(constB129) | v117(constB129)) | (~v117(constB129))),
% 8.99/6.57 inference(tautology,[status(thm)],[])).
% 8.99/6.57 tff(20372,plain,
% 8.99/6.57 (v110(constB129) | v117(constB129)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[20371, 20370])).
% 8.99/6.57 tff(20373,plain,
% 8.99/6.57 ((~(v109(constB129) <=> (v110(constB129) | v117(constB129)))) | v109(constB129) | (~(v110(constB129) | v117(constB129)))),
% 8.99/6.57 inference(tautology,[status(thm)],[])).
% 8.99/6.57 tff(20374,plain,
% 8.99/6.57 (v109(constB129)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[20373, 20372, 3879])).
% 8.99/6.57 tff(20375,plain,
% 8.99/6.57 ((v109(constB129) | v118(constB129)) | (~v109(constB129))),
% 8.99/6.57 inference(tautology,[status(thm)],[])).
% 8.99/6.57 tff(20376,plain,
% 8.99/6.57 (v109(constB129) | v118(constB129)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[20375, 20374])).
% 8.99/6.57 tff(20377,plain,
% 8.99/6.57 ((~(v108(constB129) <=> (v109(constB129) | v118(constB129)))) | v108(constB129) | (~(v109(constB129) | v118(constB129)))),
% 8.99/6.57 inference(tautology,[status(thm)],[])).
% 8.99/6.57 tff(20378,plain,
% 8.99/6.57 (v108(constB129)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[20377, 20376, 3877])).
% 8.99/6.57 tff(20379,plain,
% 8.99/6.57 ((v108(constB129) | v119(constB129)) | (~v108(constB129))),
% 8.99/6.57 inference(tautology,[status(thm)],[])).
% 8.99/6.57 tff(20380,plain,
% 8.99/6.57 (v108(constB129) | v119(constB129)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[20379, 20378])).
% 8.99/6.57 tff(20381,plain,
% 8.99/6.57 ((~(v107(constB129) <=> (v108(constB129) | v119(constB129)))) | v107(constB129) | (~(v108(constB129) | v119(constB129)))),
% 8.99/6.57 inference(tautology,[status(thm)],[])).
% 8.99/6.57 tff(20382,plain,
% 8.99/6.57 (v107(constB129)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[20381, 20380, 3875])).
% 8.99/6.57 tff(20383,plain,
% 8.99/6.57 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB129)) <=> v105(constB129))),
% 8.99/6.57 inference(quant_inst,[status(thm)],[])).
% 8.99/6.57 tff(20384,plain,
% 8.99/6.57 ((~v120(constB129)) <=> v105(constB129)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[20383, 9842])).
% 8.99/6.57 tff(20385,plain,
% 8.99/6.57 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB129) <=> v26(constB129))),
% 8.99/6.57 inference(quant_inst,[status(thm)],[])).
% 8.99/6.57 tff(20386,plain,
% 8.99/6.57 (v105(constB129) <=> v26(constB129)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[20385, 9854])).
% 8.99/6.57 tff(20387,plain,
% 8.99/6.57 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB129))),
% 8.99/6.57 inference(quant_inst,[status(thm)],[])).
% 8.99/6.57 tff(20388,plain,
% 8.99/6.57 (~v26(constB129)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[20387, 9866])).
% 8.99/6.57 tff(20389,plain,
% 8.99/6.57 ((~(v105(constB129) <=> v26(constB129))) | (~v105(constB129)) | v26(constB129)),
% 8.99/6.57 inference(tautology,[status(thm)],[])).
% 8.99/6.57 tff(20390,plain,
% 8.99/6.57 ((~(v105(constB129) <=> v26(constB129))) | (~v105(constB129))),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[20389, 20388])).
% 8.99/6.57 tff(20391,plain,
% 8.99/6.57 (~v105(constB129)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[20390, 20386])).
% 8.99/6.57 tff(20392,plain,
% 8.99/6.57 ((~((~v120(constB129)) <=> v105(constB129))) | v120(constB129) | v105(constB129)),
% 8.99/6.57 inference(tautology,[status(thm)],[])).
% 8.99/6.57 tff(20393,plain,
% 8.99/6.57 ((~((~v120(constB129)) <=> v105(constB129))) | v120(constB129)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[20392, 20391])).
% 8.99/6.57 tff(20394,plain,
% 8.99/6.57 (v120(constB129)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[20393, 20384])).
% 8.99/6.57 tff(20395,plain,
% 8.99/6.57 ((~((~v107(constB129)) | (~v120(constB129)))) | (~v107(constB129)) | (~v120(constB129))),
% 8.99/6.57 inference(tautology,[status(thm)],[])).
% 8.99/6.57 tff(20396,plain,
% 8.99/6.57 ((~((~v107(constB129)) | (~v120(constB129)))) | (~v107(constB129))),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[20395, 20394])).
% 8.99/6.57 tff(20397,plain,
% 8.99/6.57 (~((~v107(constB129)) | (~v120(constB129)))),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[20396, 20382])).
% 8.99/6.57 tff(20398,plain,
% 8.99/6.57 ((~(v106(constB129) <=> (~((~v107(constB129)) | (~v120(constB129)))))) | v106(constB129) | ((~v107(constB129)) | (~v120(constB129)))),
% 8.99/6.57 inference(tautology,[status(thm)],[])).
% 8.99/6.57 tff(20399,plain,
% 8.99/6.57 (v106(constB129)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[20398, 20397, 3873])).
% 8.99/6.57 tff(20400,plain,
% 8.99/6.57 ((v105(constB129) | v106(constB129)) | (~v106(constB129))),
% 8.99/6.57 inference(tautology,[status(thm)],[])).
% 8.99/6.57 tff(20401,plain,
% 8.99/6.57 (v105(constB129) | v106(constB129)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[20400, 20399])).
% 8.99/6.57 tff(20402,plain,
% 8.99/6.57 ((~(v102(constB129) <=> (v105(constB129) | v106(constB129)))) | v102(constB129) | (~(v105(constB129) | v106(constB129)))),
% 8.99/6.57 inference(tautology,[status(thm)],[])).
% 8.99/6.57 tff(20403,plain,
% 8.99/6.57 (v102(constB129)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[20402, 20401, 3871])).
% 8.99/6.57 tff(20404,plain,
% 8.99/6.57 ((~(v104(constB130) <=> v102(constB129))) | v104(constB130) | (~v102(constB129))),
% 8.99/6.57 inference(tautology,[status(thm)],[])).
% 8.99/6.57 tff(20405,plain,
% 8.99/6.57 (v104(constB130)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[20404, 20403, 3869])).
% 8.99/6.57 tff(20406,plain,
% 8.99/6.57 ((~((~v104(constB130)) | (~v95(constB130)))) | (~v104(constB130)) | (~v95(constB130))),
% 8.99/6.57 inference(tautology,[status(thm)],[])).
% 8.99/6.57 tff(20407,plain,
% 8.99/6.57 (~((~v104(constB130)) | (~v95(constB130)))),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[20406, 20405, 3865])).
% 8.99/6.57 tff(20408,plain,
% 8.99/6.57 ((~(v94(constB130) <=> (~((~v104(constB130)) | (~v95(constB130)))))) | v94(constB130) | ((~v104(constB130)) | (~v95(constB130)))),
% 8.99/6.57 inference(tautology,[status(thm)],[])).
% 8.99/6.57 tff(20409,plain,
% 8.99/6.57 (v94(constB130)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[20408, 20407, 3834])).
% 8.99/6.57 tff(20410,plain,
% 8.99/6.57 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB130)) | ![B: $i] : ((~less_3(B)) | (v84(constB130, B) <=> v123(constB130, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB130)) | ![B: $i] : ((~less_3(B)) | (v84(constB130, B) <=> v123(constB130, B))))),
% 8.99/6.57 inference(rewrite,[status(thm)],[])).
% 8.99/6.57 tff(20411,plain,
% 8.99/6.57 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB130)) | ![B: $i] : ((~less_3(B)) | (v84(constB130, B) <=> v123(constB130, B))))),
% 8.99/6.57 inference(quant_inst,[status(thm)],[])).
% 8.99/6.57 tff(20412,plain,
% 8.99/6.57 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB130)) | ![B: $i] : ((~less_3(B)) | (v84(constB130, B) <=> v123(constB130, B)))),
% 8.99/6.57 inference(modus_ponens,[status(thm)],[20411, 20410])).
% 8.99/6.57 tff(20413,plain,
% 8.99/6.57 ((~v94(constB130)) | ![B: $i] : ((~less_3(B)) | (v84(constB130, B) <=> v123(constB130, B)))),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[20412, 9902])).
% 8.99/6.57 tff(20414,plain,
% 8.99/6.57 (![B: $i] : ((~less_3(B)) | (v84(constB130, B) <=> v123(constB130, B)))),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[20413, 20409])).
% 8.99/6.57 tff(20415,plain,
% 8.99/6.57 (((~![B: $i] : ((~less_3(B)) | (v84(constB130, B) <=> v123(constB130, B)))) | ((~less_3(bitIndex2)) | (v84(constB130, bitIndex2) <=> v123(constB130, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB130, B) <=> v123(constB130, B)))) | (~less_3(bitIndex2)) | (v84(constB130, bitIndex2) <=> v123(constB130, bitIndex2)))),
% 8.99/6.57 inference(rewrite,[status(thm)],[])).
% 8.99/6.57 tff(20416,plain,
% 8.99/6.57 ((~![B: $i] : ((~less_3(B)) | (v84(constB130, B) <=> v123(constB130, B)))) | ((~less_3(bitIndex2)) | (v84(constB130, bitIndex2) <=> v123(constB130, bitIndex2)))),
% 8.99/6.57 inference(quant_inst,[status(thm)],[])).
% 8.99/6.57 tff(20417,plain,
% 8.99/6.57 ((~![B: $i] : ((~less_3(B)) | (v84(constB130, B) <=> v123(constB130, B)))) | (~less_3(bitIndex2)) | (v84(constB130, bitIndex2) <=> v123(constB130, bitIndex2))),
% 8.99/6.57 inference(modus_ponens,[status(thm)],[20416, 20415])).
% 8.99/6.57 tff(20418,plain,
% 8.99/6.57 (v84(constB130, bitIndex2) <=> v123(constB130, bitIndex2)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[20417, 832, 20414])).
% 8.99/6.57 tff(20419,plain,
% 8.99/6.57 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB129, constB130)) | ![B: $i] : ((~less_3(B)) | (v123(constB130, B) <=> v121(constB129, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB129, constB130)) | ![B: $i] : ((~less_3(B)) | (v123(constB130, B) <=> v121(constB129, B))))),
% 8.99/6.57 inference(rewrite,[status(thm)],[])).
% 8.99/6.57 tff(20420,plain,
% 8.99/6.57 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB129, constB130)) | ![B: $i] : ((~less_3(B)) | (v123(constB130, B) <=> v121(constB129, B))))),
% 8.99/6.57 inference(quant_inst,[status(thm)],[])).
% 8.99/6.57 tff(20421,plain,
% 8.99/6.57 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB129, constB130)) | ![B: $i] : ((~less_3(B)) | (v123(constB130, B) <=> v121(constB129, B)))),
% 8.99/6.57 inference(modus_ponens,[status(thm)],[20420, 20419])).
% 8.99/6.57 tff(20422,plain,
% 8.99/6.57 (![B: $i] : ((~less_3(B)) | (v123(constB130, B) <=> v121(constB129, B)))),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[20421, 3830, 9924])).
% 8.99/6.57 tff(20423,plain,
% 8.99/6.57 (((~![B: $i] : ((~less_3(B)) | (v123(constB130, B) <=> v121(constB129, B)))) | ((~less_3(bitIndex2)) | (v123(constB130, bitIndex2) <=> v121(constB129, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB130, B) <=> v121(constB129, B)))) | (~less_3(bitIndex2)) | (v123(constB130, bitIndex2) <=> v121(constB129, bitIndex2)))),
% 8.99/6.57 inference(rewrite,[status(thm)],[])).
% 8.99/6.57 tff(20424,plain,
% 8.99/6.57 ((~![B: $i] : ((~less_3(B)) | (v123(constB130, B) <=> v121(constB129, B)))) | ((~less_3(bitIndex2)) | (v123(constB130, bitIndex2) <=> v121(constB129, bitIndex2)))),
% 8.99/6.57 inference(quant_inst,[status(thm)],[])).
% 8.99/6.57 tff(20425,plain,
% 8.99/6.57 ((~![B: $i] : ((~less_3(B)) | (v123(constB130, B) <=> v121(constB129, B)))) | (~less_3(bitIndex2)) | (v123(constB130, bitIndex2) <=> v121(constB129, bitIndex2))),
% 8.99/6.57 inference(modus_ponens,[status(thm)],[20424, 20423])).
% 8.99/6.57 tff(20426,plain,
% 8.99/6.57 (v123(constB130, bitIndex2) <=> v121(constB129, bitIndex2)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[20425, 832, 20422])).
% 8.99/6.57 tff(20427,plain,
% 8.99/6.57 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB129) | ![B: $i] : ((~less_3(B)) | (v121(constB129, B) <=> v124(constB129, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB129) | ![B: $i] : ((~less_3(B)) | (v121(constB129, B) <=> v124(constB129, B))))),
% 8.99/6.57 inference(rewrite,[status(thm)],[])).
% 8.99/6.57 tff(20428,plain,
% 8.99/6.57 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB129) | ![B: $i] : ((~less_3(B)) | (v121(constB129, B) <=> v124(constB129, B))))),
% 8.99/6.57 inference(quant_inst,[status(thm)],[])).
% 8.99/6.57 tff(20429,plain,
% 8.99/6.57 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB129) | ![B: $i] : ((~less_3(B)) | (v121(constB129, B) <=> v124(constB129, B)))),
% 8.99/6.57 inference(modus_ponens,[status(thm)],[20428, 20427])).
% 8.99/6.57 tff(20430,plain,
% 8.99/6.57 (![B: $i] : ((~less_3(B)) | (v121(constB129, B) <=> v124(constB129, B)))),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[20429, 9945, 20391])).
% 8.99/6.57 tff(20431,plain,
% 8.99/6.57 (((~![B: $i] : ((~less_3(B)) | (v121(constB129, B) <=> v124(constB129, B)))) | ((~less_3(bitIndex2)) | (v121(constB129, bitIndex2) <=> v124(constB129, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB129, B) <=> v124(constB129, B)))) | (~less_3(bitIndex2)) | (v121(constB129, bitIndex2) <=> v124(constB129, bitIndex2)))),
% 8.99/6.57 inference(rewrite,[status(thm)],[])).
% 8.99/6.57 tff(20432,plain,
% 8.99/6.57 ((~![B: $i] : ((~less_3(B)) | (v121(constB129, B) <=> v124(constB129, B)))) | ((~less_3(bitIndex2)) | (v121(constB129, bitIndex2) <=> v124(constB129, bitIndex2)))),
% 8.99/6.57 inference(quant_inst,[status(thm)],[])).
% 8.99/6.57 tff(20433,plain,
% 8.99/6.57 ((~![B: $i] : ((~less_3(B)) | (v121(constB129, B) <=> v124(constB129, B)))) | (~less_3(bitIndex2)) | (v121(constB129, bitIndex2) <=> v124(constB129, bitIndex2))),
% 8.99/6.57 inference(modus_ponens,[status(thm)],[20432, 20431])).
% 8.99/6.57 tff(20434,plain,
% 8.99/6.57 (v121(constB129, bitIndex2) <=> v124(constB129, bitIndex2)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[20433, 832, 20430])).
% 8.99/6.57 tff(20435,plain,
% 8.99/6.57 (((~![VarCurr: $i] : ((~v117(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b101(B))))) | ((~v117(constB129)) | ![B: $i] : ((~less_3(B)) | (v124(constB129, B) <=> b101(B))))) <=> ((~![VarCurr: $i] : ((~v117(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b101(B))))) | (~v117(constB129)) | ![B: $i] : ((~less_3(B)) | (v124(constB129, B) <=> b101(B))))),
% 8.99/6.57 inference(rewrite,[status(thm)],[])).
% 8.99/6.57 tff(20436,plain,
% 8.99/6.57 ((~![VarCurr: $i] : ((~v117(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b101(B))))) | ((~v117(constB129)) | ![B: $i] : ((~less_3(B)) | (v124(constB129, B) <=> b101(B))))),
% 8.99/6.57 inference(quant_inst,[status(thm)],[])).
% 8.99/6.57 tff(20437,plain,
% 8.99/6.57 ((~![VarCurr: $i] : ((~v117(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b101(B))))) | (~v117(constB129)) | ![B: $i] : ((~less_3(B)) | (v124(constB129, B) <=> b101(B)))),
% 8.99/6.57 inference(modus_ponens,[status(thm)],[20436, 20435])).
% 8.99/6.57 tff(20438,plain,
% 8.99/6.57 ((~v117(constB129)) | ![B: $i] : ((~less_3(B)) | (v124(constB129, B) <=> b101(B)))),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[20437, 10677])).
% 8.99/6.57 tff(20439,plain,
% 8.99/6.57 (![B: $i] : ((~less_3(B)) | (v124(constB129, B) <=> b101(B)))),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[20438, 20370])).
% 8.99/6.57 tff(20440,plain,
% 8.99/6.57 (((~![B: $i] : ((~less_3(B)) | (v124(constB129, B) <=> b101(B)))) | ((~less_3(bitIndex2)) | (v124(constB129, bitIndex2) <=> b101(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB129, B) <=> b101(B)))) | (~less_3(bitIndex2)) | (v124(constB129, bitIndex2) <=> b101(bitIndex2)))),
% 8.99/6.57 inference(rewrite,[status(thm)],[])).
% 8.99/6.57 tff(20441,plain,
% 8.99/6.57 ((~![B: $i] : ((~less_3(B)) | (v124(constB129, B) <=> b101(B)))) | ((~less_3(bitIndex2)) | (v124(constB129, bitIndex2) <=> b101(bitIndex2)))),
% 8.99/6.57 inference(quant_inst,[status(thm)],[])).
% 8.99/6.57 tff(20442,plain,
% 8.99/6.57 ((~![B: $i] : ((~less_3(B)) | (v124(constB129, B) <=> b101(B)))) | (~less_3(bitIndex2)) | (v124(constB129, bitIndex2) <=> b101(bitIndex2))),
% 8.99/6.57 inference(modus_ponens,[status(thm)],[20441, 20440])).
% 8.99/6.57 tff(20443,plain,
% 8.99/6.57 (v124(constB129, bitIndex2) <=> b101(bitIndex2)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[20442, 832, 20439])).
% 8.99/6.57 tff(20444,plain,
% 8.99/6.57 ((~(v124(constB129, bitIndex2) <=> b101(bitIndex2))) | v124(constB129, bitIndex2) | (~b101(bitIndex2))),
% 8.99/6.57 inference(tautology,[status(thm)],[])).
% 8.99/6.57 tff(20445,plain,
% 8.99/6.57 ((~(v124(constB129, bitIndex2) <=> b101(bitIndex2))) | v124(constB129, bitIndex2)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[20444, 10689])).
% 8.99/6.57 tff(20446,plain,
% 8.99/6.57 (v124(constB129, bitIndex2)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[20445, 20443])).
% 8.99/6.57 tff(20447,plain,
% 8.99/6.57 ((~(v121(constB129, bitIndex2) <=> v124(constB129, bitIndex2))) | v121(constB129, bitIndex2) | (~v124(constB129, bitIndex2))),
% 8.99/6.57 inference(tautology,[status(thm)],[])).
% 8.99/6.57 tff(20448,plain,
% 8.99/6.57 (v121(constB129, bitIndex2)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[20447, 20446, 20434])).
% 8.99/6.57 tff(20449,plain,
% 8.99/6.57 ((~(v123(constB130, bitIndex2) <=> v121(constB129, bitIndex2))) | v123(constB130, bitIndex2) | (~v121(constB129, bitIndex2))),
% 8.99/6.57 inference(tautology,[status(thm)],[])).
% 8.99/6.57 tff(20450,plain,
% 8.99/6.57 (v123(constB130, bitIndex2)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[20449, 20448, 20426])).
% 8.99/6.57 tff(20451,plain,
% 8.99/6.57 ((~(v84(constB130, bitIndex2) <=> v123(constB130, bitIndex2))) | v84(constB130, bitIndex2) | (~v123(constB130, bitIndex2))),
% 8.99/6.57 inference(tautology,[status(thm)],[])).
% 8.99/6.57 tff(20452,plain,
% 8.99/6.57 (v84(constB130, bitIndex2)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[20451, 20450, 20418])).
% 8.99/6.57 tff(20453,plain,
% 8.99/6.57 ((~(v84(constB131, bitIndex2) <=> v84(constB130, bitIndex2))) | v84(constB131, bitIndex2) | (~v84(constB130, bitIndex2))),
% 8.99/6.57 inference(tautology,[status(thm)],[])).
% 8.99/6.57 tff(20454,plain,
% 8.99/6.57 (v84(constB131, bitIndex2)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[20453, 20452, 3827])).
% 8.99/6.57 tff(20455,plain,
% 8.99/6.57 (((~![B: $i] : ((~less_3(B)) | (v84(constB131, B) <=> v84(constB130, B)))) | ((~less_3(bitIndex0)) | (v84(constB131, bitIndex0) <=> v84(constB130, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB131, B) <=> v84(constB130, B)))) | (~less_3(bitIndex0)) | (v84(constB131, bitIndex0) <=> v84(constB130, bitIndex0)))),
% 8.99/6.57 inference(rewrite,[status(thm)],[])).
% 8.99/6.57 tff(20456,plain,
% 8.99/6.57 ((~![B: $i] : ((~less_3(B)) | (v84(constB131, B) <=> v84(constB130, B)))) | ((~less_3(bitIndex0)) | (v84(constB131, bitIndex0) <=> v84(constB130, bitIndex0)))),
% 8.99/6.57 inference(quant_inst,[status(thm)],[])).
% 8.99/6.57 tff(20457,plain,
% 8.99/6.57 ((~![B: $i] : ((~less_3(B)) | (v84(constB131, B) <=> v84(constB130, B)))) | (~less_3(bitIndex0)) | (v84(constB131, bitIndex0) <=> v84(constB130, bitIndex0))),
% 8.99/6.57 inference(modus_ponens,[status(thm)],[20456, 20455])).
% 8.99/6.57 tff(20458,plain,
% 8.99/6.57 (v84(constB131, bitIndex0) <=> v84(constB130, bitIndex0)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[20457, 9772, 3823])).
% 8.99/6.57 tff(20459,plain,
% 8.99/6.57 (((~![B: $i] : ((~less_3(B)) | (v84(constB130, B) <=> v123(constB130, B)))) | ((~less_3(bitIndex0)) | (v84(constB130, bitIndex0) <=> v123(constB130, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB130, B) <=> v123(constB130, B)))) | (~less_3(bitIndex0)) | (v84(constB130, bitIndex0) <=> v123(constB130, bitIndex0)))),
% 8.99/6.57 inference(rewrite,[status(thm)],[])).
% 8.99/6.57 tff(20460,plain,
% 8.99/6.57 ((~![B: $i] : ((~less_3(B)) | (v84(constB130, B) <=> v123(constB130, B)))) | ((~less_3(bitIndex0)) | (v84(constB130, bitIndex0) <=> v123(constB130, bitIndex0)))),
% 8.99/6.57 inference(quant_inst,[status(thm)],[])).
% 8.99/6.57 tff(20461,plain,
% 8.99/6.57 ((~![B: $i] : ((~less_3(B)) | (v84(constB130, B) <=> v123(constB130, B)))) | (~less_3(bitIndex0)) | (v84(constB130, bitIndex0) <=> v123(constB130, bitIndex0))),
% 8.99/6.57 inference(modus_ponens,[status(thm)],[20460, 20459])).
% 8.99/6.57 tff(20462,plain,
% 8.99/6.57 (v84(constB130, bitIndex0) <=> v123(constB130, bitIndex0)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[20461, 9772, 20414])).
% 8.99/6.57 tff(20463,plain,
% 8.99/6.57 (((~![B: $i] : ((~less_3(B)) | (v123(constB130, B) <=> v121(constB129, B)))) | ((~less_3(bitIndex0)) | (v123(constB130, bitIndex0) <=> v121(constB129, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB130, B) <=> v121(constB129, B)))) | (~less_3(bitIndex0)) | (v123(constB130, bitIndex0) <=> v121(constB129, bitIndex0)))),
% 8.99/6.57 inference(rewrite,[status(thm)],[])).
% 8.99/6.57 tff(20464,plain,
% 8.99/6.57 ((~![B: $i] : ((~less_3(B)) | (v123(constB130, B) <=> v121(constB129, B)))) | ((~less_3(bitIndex0)) | (v123(constB130, bitIndex0) <=> v121(constB129, bitIndex0)))),
% 8.99/6.57 inference(quant_inst,[status(thm)],[])).
% 8.99/6.57 tff(20465,plain,
% 8.99/6.57 ((~![B: $i] : ((~less_3(B)) | (v123(constB130, B) <=> v121(constB129, B)))) | (~less_3(bitIndex0)) | (v123(constB130, bitIndex0) <=> v121(constB129, bitIndex0))),
% 8.99/6.57 inference(modus_ponens,[status(thm)],[20464, 20463])).
% 8.99/6.57 tff(20466,plain,
% 8.99/6.57 (v123(constB130, bitIndex0) <=> v121(constB129, bitIndex0)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[20465, 9772, 20422])).
% 8.99/6.57 tff(20467,plain,
% 8.99/6.57 (((~![B: $i] : ((~less_3(B)) | (v121(constB129, B) <=> v124(constB129, B)))) | ((~less_3(bitIndex0)) | (v121(constB129, bitIndex0) <=> v124(constB129, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB129, B) <=> v124(constB129, B)))) | (~less_3(bitIndex0)) | (v121(constB129, bitIndex0) <=> v124(constB129, bitIndex0)))),
% 8.99/6.57 inference(rewrite,[status(thm)],[])).
% 8.99/6.57 tff(20468,plain,
% 8.99/6.57 ((~![B: $i] : ((~less_3(B)) | (v121(constB129, B) <=> v124(constB129, B)))) | ((~less_3(bitIndex0)) | (v121(constB129, bitIndex0) <=> v124(constB129, bitIndex0)))),
% 8.99/6.57 inference(quant_inst,[status(thm)],[])).
% 8.99/6.57 tff(20469,plain,
% 8.99/6.57 ((~![B: $i] : ((~less_3(B)) | (v121(constB129, B) <=> v124(constB129, B)))) | (~less_3(bitIndex0)) | (v121(constB129, bitIndex0) <=> v124(constB129, bitIndex0))),
% 8.99/6.57 inference(modus_ponens,[status(thm)],[20468, 20467])).
% 8.99/6.57 tff(20470,plain,
% 8.99/6.57 (v121(constB129, bitIndex0) <=> v124(constB129, bitIndex0)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[20469, 9772, 20430])).
% 8.99/6.57 tff(20471,plain,
% 8.99/6.57 (((~![B: $i] : ((~less_3(B)) | (v124(constB129, B) <=> b101(B)))) | ((~less_3(bitIndex0)) | (v124(constB129, bitIndex0) <=> b101(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB129, B) <=> b101(B)))) | (~less_3(bitIndex0)) | (v124(constB129, bitIndex0) <=> b101(bitIndex0)))),
% 8.99/6.57 inference(rewrite,[status(thm)],[])).
% 8.99/6.57 tff(20472,plain,
% 8.99/6.57 ((~![B: $i] : ((~less_3(B)) | (v124(constB129, B) <=> b101(B)))) | ((~less_3(bitIndex0)) | (v124(constB129, bitIndex0) <=> b101(bitIndex0)))),
% 8.99/6.57 inference(quant_inst,[status(thm)],[])).
% 8.99/6.57 tff(20473,plain,
% 8.99/6.57 ((~![B: $i] : ((~less_3(B)) | (v124(constB129, B) <=> b101(B)))) | (~less_3(bitIndex0)) | (v124(constB129, bitIndex0) <=> b101(bitIndex0))),
% 8.99/6.57 inference(modus_ponens,[status(thm)],[20472, 20471])).
% 8.99/6.57 tff(20474,plain,
% 8.99/6.57 (v124(constB129, bitIndex0) <=> b101(bitIndex0)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[20473, 9772, 20439])).
% 8.99/6.57 tff(20475,plain,
% 8.99/6.57 ((~(v124(constB129, bitIndex0) <=> b101(bitIndex0))) | v124(constB129, bitIndex0) | (~b101(bitIndex0))),
% 8.99/6.57 inference(tautology,[status(thm)],[])).
% 8.99/6.57 tff(20476,plain,
% 8.99/6.57 ((~(v124(constB129, bitIndex0) <=> b101(bitIndex0))) | v124(constB129, bitIndex0)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[20475, 10723])).
% 8.99/6.57 tff(20477,plain,
% 8.99/6.57 (v124(constB129, bitIndex0)),
% 8.99/6.57 inference(unit_resolution,[status(thm)],[20476, 20474])).
% 8.99/6.57 tff(20478,plain,
% 8.99/6.57 ((~(v121(constB129, bitIndex0) <=> v124(constB129, bitIndex0))) | v121(constB129, bitIndex0) | (~v124(constB129, bitIndex0))),
% 8.99/6.58 inference(tautology,[status(thm)],[])).
% 8.99/6.58 tff(20479,plain,
% 8.99/6.58 (v121(constB129, bitIndex0)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[20478, 20477, 20470])).
% 8.99/6.58 tff(20480,plain,
% 8.99/6.58 ((~(v123(constB130, bitIndex0) <=> v121(constB129, bitIndex0))) | v123(constB130, bitIndex0) | (~v121(constB129, bitIndex0))),
% 8.99/6.58 inference(tautology,[status(thm)],[])).
% 8.99/6.58 tff(20481,plain,
% 8.99/6.58 (v123(constB130, bitIndex0)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[20480, 20479, 20466])).
% 8.99/6.58 tff(20482,plain,
% 8.99/6.58 ((~(v84(constB130, bitIndex0) <=> v123(constB130, bitIndex0))) | v84(constB130, bitIndex0) | (~v123(constB130, bitIndex0))),
% 8.99/6.58 inference(tautology,[status(thm)],[])).
% 8.99/6.58 tff(20483,plain,
% 8.99/6.58 (v84(constB130, bitIndex0)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[20482, 20481, 20462])).
% 8.99/6.58 tff(20484,plain,
% 8.99/6.58 ((~(v84(constB131, bitIndex0) <=> v84(constB130, bitIndex0))) | v84(constB131, bitIndex0) | (~v84(constB130, bitIndex0))),
% 8.99/6.58 inference(tautology,[status(thm)],[])).
% 8.99/6.58 tff(20485,plain,
% 8.99/6.58 (v84(constB131, bitIndex0)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[20484, 20483, 20458])).
% 8.99/6.58 tff(20486,plain,
% 8.99/6.58 (((~![B: $i] : ((~less_3(B)) | (v84(constB131, B) <=> v84(constB130, B)))) | ((~less_3(bitIndex1)) | (v84(constB131, bitIndex1) <=> v84(constB130, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB131, B) <=> v84(constB130, B)))) | (~less_3(bitIndex1)) | (v84(constB131, bitIndex1) <=> v84(constB130, bitIndex1)))),
% 8.99/6.58 inference(rewrite,[status(thm)],[])).
% 8.99/6.58 tff(20487,plain,
% 8.99/6.58 ((~![B: $i] : ((~less_3(B)) | (v84(constB131, B) <=> v84(constB130, B)))) | ((~less_3(bitIndex1)) | (v84(constB131, bitIndex1) <=> v84(constB130, bitIndex1)))),
% 8.99/6.58 inference(quant_inst,[status(thm)],[])).
% 8.99/6.58 tff(20488,plain,
% 8.99/6.58 ((~![B: $i] : ((~less_3(B)) | (v84(constB131, B) <=> v84(constB130, B)))) | (~less_3(bitIndex1)) | (v84(constB131, bitIndex1) <=> v84(constB130, bitIndex1))),
% 8.99/6.58 inference(modus_ponens,[status(thm)],[20487, 20486])).
% 8.99/6.58 tff(20489,plain,
% 8.99/6.58 (v84(constB131, bitIndex1) <=> v84(constB130, bitIndex1)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[20488, 9785, 3823])).
% 8.99/6.58 tff(20490,plain,
% 8.99/6.58 (((~![B: $i] : ((~less_3(B)) | (v84(constB130, B) <=> v123(constB130, B)))) | ((~less_3(bitIndex1)) | (v84(constB130, bitIndex1) <=> v123(constB130, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB130, B) <=> v123(constB130, B)))) | (~less_3(bitIndex1)) | (v84(constB130, bitIndex1) <=> v123(constB130, bitIndex1)))),
% 8.99/6.58 inference(rewrite,[status(thm)],[])).
% 8.99/6.58 tff(20491,plain,
% 8.99/6.58 ((~![B: $i] : ((~less_3(B)) | (v84(constB130, B) <=> v123(constB130, B)))) | ((~less_3(bitIndex1)) | (v84(constB130, bitIndex1) <=> v123(constB130, bitIndex1)))),
% 8.99/6.58 inference(quant_inst,[status(thm)],[])).
% 8.99/6.58 tff(20492,plain,
% 8.99/6.58 ((~![B: $i] : ((~less_3(B)) | (v84(constB130, B) <=> v123(constB130, B)))) | (~less_3(bitIndex1)) | (v84(constB130, bitIndex1) <=> v123(constB130, bitIndex1))),
% 8.99/6.58 inference(modus_ponens,[status(thm)],[20491, 20490])).
% 8.99/6.58 tff(20493,plain,
% 8.99/6.58 (v84(constB130, bitIndex1) <=> v123(constB130, bitIndex1)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[20492, 9785, 20414])).
% 8.99/6.58 tff(20494,plain,
% 8.99/6.58 (((~![B: $i] : ((~less_3(B)) | (v123(constB130, B) <=> v121(constB129, B)))) | ((~less_3(bitIndex1)) | (v123(constB130, bitIndex1) <=> v121(constB129, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB130, B) <=> v121(constB129, B)))) | (~less_3(bitIndex1)) | (v123(constB130, bitIndex1) <=> v121(constB129, bitIndex1)))),
% 8.99/6.58 inference(rewrite,[status(thm)],[])).
% 8.99/6.58 tff(20495,plain,
% 8.99/6.58 ((~![B: $i] : ((~less_3(B)) | (v123(constB130, B) <=> v121(constB129, B)))) | ((~less_3(bitIndex1)) | (v123(constB130, bitIndex1) <=> v121(constB129, bitIndex1)))),
% 8.99/6.58 inference(quant_inst,[status(thm)],[])).
% 8.99/6.58 tff(20496,plain,
% 8.99/6.58 ((~![B: $i] : ((~less_3(B)) | (v123(constB130, B) <=> v121(constB129, B)))) | (~less_3(bitIndex1)) | (v123(constB130, bitIndex1) <=> v121(constB129, bitIndex1))),
% 8.99/6.58 inference(modus_ponens,[status(thm)],[20495, 20494])).
% 8.99/6.58 tff(20497,plain,
% 8.99/6.58 (v123(constB130, bitIndex1) <=> v121(constB129, bitIndex1)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[20496, 9785, 20422])).
% 8.99/6.58 tff(20498,plain,
% 8.99/6.58 (((~![B: $i] : ((~less_3(B)) | (v121(constB129, B) <=> v124(constB129, B)))) | ((~less_3(bitIndex1)) | (v121(constB129, bitIndex1) <=> v124(constB129, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB129, B) <=> v124(constB129, B)))) | (~less_3(bitIndex1)) | (v121(constB129, bitIndex1) <=> v124(constB129, bitIndex1)))),
% 8.99/6.58 inference(rewrite,[status(thm)],[])).
% 8.99/6.58 tff(20499,plain,
% 8.99/6.58 ((~![B: $i] : ((~less_3(B)) | (v121(constB129, B) <=> v124(constB129, B)))) | ((~less_3(bitIndex1)) | (v121(constB129, bitIndex1) <=> v124(constB129, bitIndex1)))),
% 8.99/6.58 inference(quant_inst,[status(thm)],[])).
% 8.99/6.58 tff(20500,plain,
% 8.99/6.58 ((~![B: $i] : ((~less_3(B)) | (v121(constB129, B) <=> v124(constB129, B)))) | (~less_3(bitIndex1)) | (v121(constB129, bitIndex1) <=> v124(constB129, bitIndex1))),
% 8.99/6.58 inference(modus_ponens,[status(thm)],[20499, 20498])).
% 8.99/6.58 tff(20501,plain,
% 8.99/6.58 (v121(constB129, bitIndex1) <=> v124(constB129, bitIndex1)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[20500, 9785, 20430])).
% 8.99/6.58 tff(20502,plain,
% 8.99/6.58 (((~![B: $i] : ((~less_3(B)) | (v124(constB129, B) <=> b101(B)))) | ((~less_3(bitIndex1)) | (v124(constB129, bitIndex1) <=> b101(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB129, B) <=> b101(B)))) | (~less_3(bitIndex1)) | (v124(constB129, bitIndex1) <=> b101(bitIndex1)))),
% 8.99/6.58 inference(rewrite,[status(thm)],[])).
% 8.99/6.58 tff(20503,plain,
% 8.99/6.58 ((~![B: $i] : ((~less_3(B)) | (v124(constB129, B) <=> b101(B)))) | ((~less_3(bitIndex1)) | (v124(constB129, bitIndex1) <=> b101(bitIndex1)))),
% 8.99/6.58 inference(quant_inst,[status(thm)],[])).
% 8.99/6.58 tff(20504,plain,
% 8.99/6.58 ((~![B: $i] : ((~less_3(B)) | (v124(constB129, B) <=> b101(B)))) | (~less_3(bitIndex1)) | (v124(constB129, bitIndex1) <=> b101(bitIndex1))),
% 8.99/6.58 inference(modus_ponens,[status(thm)],[20503, 20502])).
% 8.99/6.58 tff(20505,plain,
% 8.99/6.58 (v124(constB129, bitIndex1) <=> b101(bitIndex1)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[20504, 9785, 20439])).
% 8.99/6.58 tff(20506,plain,
% 8.99/6.58 ((~(v124(constB129, bitIndex1) <=> b101(bitIndex1))) | (~v124(constB129, bitIndex1)) | b101(bitIndex1)),
% 8.99/6.58 inference(tautology,[status(thm)],[])).
% 8.99/6.58 tff(20507,plain,
% 8.99/6.58 ((~(v124(constB129, bitIndex1) <=> b101(bitIndex1))) | (~v124(constB129, bitIndex1))),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[20506, 10757])).
% 8.99/6.58 tff(20508,plain,
% 8.99/6.58 (~v124(constB129, bitIndex1)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[20507, 20505])).
% 8.99/6.58 tff(20509,plain,
% 8.99/6.58 ((~(v121(constB129, bitIndex1) <=> v124(constB129, bitIndex1))) | (~v121(constB129, bitIndex1)) | v124(constB129, bitIndex1)),
% 8.99/6.58 inference(tautology,[status(thm)],[])).
% 8.99/6.58 tff(20510,plain,
% 8.99/6.58 (~v121(constB129, bitIndex1)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[20509, 20508, 20501])).
% 8.99/6.58 tff(20511,plain,
% 8.99/6.58 ((~(v123(constB130, bitIndex1) <=> v121(constB129, bitIndex1))) | (~v123(constB130, bitIndex1)) | v121(constB129, bitIndex1)),
% 8.99/6.58 inference(tautology,[status(thm)],[])).
% 8.99/6.58 tff(20512,plain,
% 8.99/6.58 (~v123(constB130, bitIndex1)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[20511, 20510, 20497])).
% 8.99/6.58 tff(20513,plain,
% 8.99/6.58 ((~(v84(constB130, bitIndex1) <=> v123(constB130, bitIndex1))) | (~v84(constB130, bitIndex1)) | v123(constB130, bitIndex1)),
% 8.99/6.58 inference(tautology,[status(thm)],[])).
% 8.99/6.58 tff(20514,plain,
% 8.99/6.58 (~v84(constB130, bitIndex1)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[20513, 20512, 20493])).
% 8.99/6.58 tff(20515,plain,
% 8.99/6.58 ((~(v84(constB131, bitIndex1) <=> v84(constB130, bitIndex1))) | (~v84(constB131, bitIndex1)) | v84(constB130, bitIndex1)),
% 8.99/6.58 inference(tautology,[status(thm)],[])).
% 8.99/6.58 tff(20516,plain,
% 8.99/6.58 (~v84(constB131, bitIndex1)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[20515, 20514, 20489])).
% 8.99/6.58 tff(20517,plain,
% 8.99/6.58 ((~((~v84(constB131, bitIndex2)) | v84(constB131, bitIndex1) | (~v84(constB131, bitIndex0)))) | (~v84(constB131, bitIndex2)) | v84(constB131, bitIndex1) | (~v84(constB131, bitIndex0))),
% 8.99/6.58 inference(tautology,[status(thm)],[])).
% 8.99/6.58 tff(20518,plain,
% 8.99/6.58 (~((~v84(constB131, bitIndex2)) | v84(constB131, bitIndex1) | (~v84(constB131, bitIndex0)))),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[20517, 20516, 20485, 20454])).
% 8.99/6.58 tff(20519,plain,
% 8.99/6.58 ((~(v118(constB131) <=> (~((~v84(constB131, bitIndex2)) | v84(constB131, bitIndex1) | (~v84(constB131, bitIndex0)))))) | v118(constB131) | ((~v84(constB131, bitIndex2)) | v84(constB131, bitIndex1) | (~v84(constB131, bitIndex0)))),
% 8.99/6.58 inference(tautology,[status(thm)],[])).
% 8.99/6.58 tff(20520,plain,
% 8.99/6.58 (v118(constB131)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[20519, 20518, 3795])).
% 8.99/6.58 tff(20521,plain,
% 8.99/6.58 ((v109(constB131) | v118(constB131)) | (~v118(constB131))),
% 8.99/6.58 inference(tautology,[status(thm)],[])).
% 8.99/6.58 tff(20522,plain,
% 8.99/6.58 (v109(constB131) | v118(constB131)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[20521, 20520])).
% 8.99/6.58 tff(20523,plain,
% 8.99/6.58 ((~(v108(constB131) <=> (v109(constB131) | v118(constB131)))) | v108(constB131) | (~(v109(constB131) | v118(constB131)))),
% 8.99/6.58 inference(tautology,[status(thm)],[])).
% 8.99/6.58 tff(20524,plain,
% 8.99/6.58 (v108(constB131)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[20523, 20522, 3788])).
% 8.99/6.58 tff(20525,plain,
% 8.99/6.58 ((v108(constB131) | v119(constB131)) | (~v108(constB131))),
% 8.99/6.58 inference(tautology,[status(thm)],[])).
% 8.99/6.58 tff(20526,plain,
% 8.99/6.58 (v108(constB131) | v119(constB131)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[20525, 20524])).
% 8.99/6.58 tff(20527,plain,
% 8.99/6.58 ((~(v107(constB131) <=> (v108(constB131) | v119(constB131)))) | v107(constB131) | (~(v108(constB131) | v119(constB131)))),
% 8.99/6.58 inference(tautology,[status(thm)],[])).
% 8.99/6.58 tff(20528,plain,
% 8.99/6.58 (v107(constB131)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[20527, 20526, 3786])).
% 8.99/6.58 tff(20529,plain,
% 8.99/6.58 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB131)) <=> v105(constB131))),
% 8.99/6.58 inference(quant_inst,[status(thm)],[])).
% 8.99/6.58 tff(20530,plain,
% 8.99/6.58 ((~v120(constB131)) <=> v105(constB131)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[20529, 9842])).
% 8.99/6.58 tff(20531,plain,
% 8.99/6.58 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB131) <=> v26(constB131))),
% 8.99/6.58 inference(quant_inst,[status(thm)],[])).
% 8.99/6.58 tff(20532,plain,
% 8.99/6.58 (v105(constB131) <=> v26(constB131)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[20531, 9854])).
% 8.99/6.58 tff(20533,plain,
% 8.99/6.58 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB131))),
% 8.99/6.58 inference(quant_inst,[status(thm)],[])).
% 8.99/6.58 tff(20534,plain,
% 8.99/6.58 (~v26(constB131)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[20533, 9866])).
% 8.99/6.58 tff(20535,plain,
% 8.99/6.58 ((~(v105(constB131) <=> v26(constB131))) | (~v105(constB131)) | v26(constB131)),
% 8.99/6.58 inference(tautology,[status(thm)],[])).
% 8.99/6.58 tff(20536,plain,
% 8.99/6.58 ((~(v105(constB131) <=> v26(constB131))) | (~v105(constB131))),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[20535, 20534])).
% 8.99/6.58 tff(20537,plain,
% 8.99/6.58 (~v105(constB131)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[20536, 20532])).
% 8.99/6.58 tff(20538,plain,
% 8.99/6.58 ((~((~v120(constB131)) <=> v105(constB131))) | v120(constB131) | v105(constB131)),
% 8.99/6.58 inference(tautology,[status(thm)],[])).
% 8.99/6.58 tff(20539,plain,
% 8.99/6.58 ((~((~v120(constB131)) <=> v105(constB131))) | v120(constB131)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[20538, 20537])).
% 8.99/6.58 tff(20540,plain,
% 8.99/6.58 (v120(constB131)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[20539, 20530])).
% 8.99/6.58 tff(20541,plain,
% 8.99/6.58 ((~((~v107(constB131)) | (~v120(constB131)))) | (~v107(constB131)) | (~v120(constB131))),
% 8.99/6.58 inference(tautology,[status(thm)],[])).
% 8.99/6.58 tff(20542,plain,
% 8.99/6.58 ((~((~v107(constB131)) | (~v120(constB131)))) | (~v107(constB131))),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[20541, 20540])).
% 8.99/6.58 tff(20543,plain,
% 8.99/6.58 (~((~v107(constB131)) | (~v120(constB131)))),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[20542, 20528])).
% 8.99/6.58 tff(20544,plain,
% 8.99/6.58 ((~(v106(constB131) <=> (~((~v107(constB131)) | (~v120(constB131)))))) | v106(constB131) | ((~v107(constB131)) | (~v120(constB131)))),
% 8.99/6.58 inference(tautology,[status(thm)],[])).
% 8.99/6.58 tff(20545,plain,
% 8.99/6.58 (v106(constB131)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[20544, 20543, 3784])).
% 8.99/6.58 tff(20546,plain,
% 8.99/6.58 ((v105(constB131) | v106(constB131)) | (~v106(constB131))),
% 8.99/6.58 inference(tautology,[status(thm)],[])).
% 8.99/6.58 tff(20547,plain,
% 8.99/6.58 (v105(constB131) | v106(constB131)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[20546, 20545])).
% 8.99/6.58 tff(20548,plain,
% 8.99/6.58 ((~(v102(constB131) <=> (v105(constB131) | v106(constB131)))) | v102(constB131) | (~(v105(constB131) | v106(constB131)))),
% 8.99/6.58 inference(tautology,[status(thm)],[])).
% 8.99/6.58 tff(20549,plain,
% 8.99/6.58 (v102(constB131)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[20548, 20547, 3782])).
% 8.99/6.58 tff(20550,plain,
% 8.99/6.58 ((~(v104(constB132) <=> v102(constB131))) | v104(constB132) | (~v102(constB131))),
% 8.99/6.58 inference(tautology,[status(thm)],[])).
% 8.99/6.58 tff(20551,plain,
% 8.99/6.58 (v104(constB132)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[20550, 20549, 3780])).
% 8.99/6.58 tff(20552,plain,
% 8.99/6.58 ((~((~v104(constB132)) | (~v95(constB132)))) | (~v104(constB132)) | (~v95(constB132))),
% 8.99/6.58 inference(tautology,[status(thm)],[])).
% 8.99/6.58 tff(20553,plain,
% 8.99/6.58 (~((~v104(constB132)) | (~v95(constB132)))),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[20552, 20551, 3776])).
% 8.99/6.58 tff(20554,plain,
% 8.99/6.58 ((~(v94(constB132) <=> (~((~v104(constB132)) | (~v95(constB132)))))) | v94(constB132) | ((~v104(constB132)) | (~v95(constB132)))),
% 8.99/6.58 inference(tautology,[status(thm)],[])).
% 8.99/6.58 tff(20555,plain,
% 8.99/6.58 (v94(constB132)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[20554, 20553, 3745])).
% 8.99/6.58 tff(20556,plain,
% 8.99/6.58 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB132)) | ![B: $i] : ((~less_3(B)) | (v84(constB132, B) <=> v123(constB132, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB132)) | ![B: $i] : ((~less_3(B)) | (v84(constB132, B) <=> v123(constB132, B))))),
% 8.99/6.58 inference(rewrite,[status(thm)],[])).
% 8.99/6.58 tff(20557,plain,
% 8.99/6.58 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB132)) | ![B: $i] : ((~less_3(B)) | (v84(constB132, B) <=> v123(constB132, B))))),
% 8.99/6.58 inference(quant_inst,[status(thm)],[])).
% 8.99/6.58 tff(20558,plain,
% 8.99/6.58 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB132)) | ![B: $i] : ((~less_3(B)) | (v84(constB132, B) <=> v123(constB132, B)))),
% 8.99/6.58 inference(modus_ponens,[status(thm)],[20557, 20556])).
% 8.99/6.58 tff(20559,plain,
% 8.99/6.58 ((~v94(constB132)) | ![B: $i] : ((~less_3(B)) | (v84(constB132, B) <=> v123(constB132, B)))),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[20558, 9902])).
% 8.99/6.58 tff(20560,plain,
% 8.99/6.58 (![B: $i] : ((~less_3(B)) | (v84(constB132, B) <=> v123(constB132, B)))),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[20559, 20555])).
% 8.99/6.58 tff(20561,plain,
% 8.99/6.58 (((~![B: $i] : ((~less_3(B)) | (v84(constB132, B) <=> v123(constB132, B)))) | ((~less_3(bitIndex2)) | (v84(constB132, bitIndex2) <=> v123(constB132, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB132, B) <=> v123(constB132, B)))) | (~less_3(bitIndex2)) | (v84(constB132, bitIndex2) <=> v123(constB132, bitIndex2)))),
% 8.99/6.58 inference(rewrite,[status(thm)],[])).
% 8.99/6.58 tff(20562,plain,
% 8.99/6.58 ((~![B: $i] : ((~less_3(B)) | (v84(constB132, B) <=> v123(constB132, B)))) | ((~less_3(bitIndex2)) | (v84(constB132, bitIndex2) <=> v123(constB132, bitIndex2)))),
% 8.99/6.58 inference(quant_inst,[status(thm)],[])).
% 8.99/6.58 tff(20563,plain,
% 8.99/6.58 ((~![B: $i] : ((~less_3(B)) | (v84(constB132, B) <=> v123(constB132, B)))) | (~less_3(bitIndex2)) | (v84(constB132, bitIndex2) <=> v123(constB132, bitIndex2))),
% 8.99/6.58 inference(modus_ponens,[status(thm)],[20562, 20561])).
% 8.99/6.58 tff(20564,plain,
% 8.99/6.58 (v84(constB132, bitIndex2) <=> v123(constB132, bitIndex2)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[20563, 832, 20560])).
% 8.99/6.58 tff(20565,plain,
% 8.99/6.58 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB131, constB132)) | ![B: $i] : ((~less_3(B)) | (v123(constB132, B) <=> v121(constB131, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB131, constB132)) | ![B: $i] : ((~less_3(B)) | (v123(constB132, B) <=> v121(constB131, B))))),
% 8.99/6.58 inference(rewrite,[status(thm)],[])).
% 8.99/6.58 tff(20566,plain,
% 8.99/6.58 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB131, constB132)) | ![B: $i] : ((~less_3(B)) | (v123(constB132, B) <=> v121(constB131, B))))),
% 8.99/6.58 inference(quant_inst,[status(thm)],[])).
% 8.99/6.58 tff(20567,plain,
% 8.99/6.58 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB131, constB132)) | ![B: $i] : ((~less_3(B)) | (v123(constB132, B) <=> v121(constB131, B)))),
% 8.99/6.58 inference(modus_ponens,[status(thm)],[20566, 20565])).
% 8.99/6.58 tff(20568,plain,
% 8.99/6.58 (![B: $i] : ((~less_3(B)) | (v123(constB132, B) <=> v121(constB131, B)))),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[20567, 3741, 9924])).
% 8.99/6.58 tff(20569,plain,
% 8.99/6.58 (((~![B: $i] : ((~less_3(B)) | (v123(constB132, B) <=> v121(constB131, B)))) | ((~less_3(bitIndex2)) | (v123(constB132, bitIndex2) <=> v121(constB131, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB132, B) <=> v121(constB131, B)))) | (~less_3(bitIndex2)) | (v123(constB132, bitIndex2) <=> v121(constB131, bitIndex2)))),
% 8.99/6.58 inference(rewrite,[status(thm)],[])).
% 8.99/6.58 tff(20570,plain,
% 8.99/6.58 ((~![B: $i] : ((~less_3(B)) | (v123(constB132, B) <=> v121(constB131, B)))) | ((~less_3(bitIndex2)) | (v123(constB132, bitIndex2) <=> v121(constB131, bitIndex2)))),
% 8.99/6.58 inference(quant_inst,[status(thm)],[])).
% 8.99/6.58 tff(20571,plain,
% 8.99/6.58 ((~![B: $i] : ((~less_3(B)) | (v123(constB132, B) <=> v121(constB131, B)))) | (~less_3(bitIndex2)) | (v123(constB132, bitIndex2) <=> v121(constB131, bitIndex2))),
% 8.99/6.58 inference(modus_ponens,[status(thm)],[20570, 20569])).
% 8.99/6.58 tff(20572,plain,
% 8.99/6.58 (v123(constB132, bitIndex2) <=> v121(constB131, bitIndex2)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[20571, 832, 20568])).
% 8.99/6.58 tff(20573,plain,
% 8.99/6.58 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB131) | ![B: $i] : ((~less_3(B)) | (v121(constB131, B) <=> v124(constB131, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB131) | ![B: $i] : ((~less_3(B)) | (v121(constB131, B) <=> v124(constB131, B))))),
% 8.99/6.58 inference(rewrite,[status(thm)],[])).
% 8.99/6.58 tff(20574,plain,
% 8.99/6.58 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB131) | ![B: $i] : ((~less_3(B)) | (v121(constB131, B) <=> v124(constB131, B))))),
% 8.99/6.58 inference(quant_inst,[status(thm)],[])).
% 8.99/6.58 tff(20575,plain,
% 8.99/6.58 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB131) | ![B: $i] : ((~less_3(B)) | (v121(constB131, B) <=> v124(constB131, B)))),
% 8.99/6.58 inference(modus_ponens,[status(thm)],[20574, 20573])).
% 8.99/6.58 tff(20576,plain,
% 8.99/6.58 (![B: $i] : ((~less_3(B)) | (v121(constB131, B) <=> v124(constB131, B)))),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[20575, 9945, 20537])).
% 8.99/6.58 tff(20577,plain,
% 8.99/6.58 (((~![B: $i] : ((~less_3(B)) | (v121(constB131, B) <=> v124(constB131, B)))) | ((~less_3(bitIndex2)) | (v121(constB131, bitIndex2) <=> v124(constB131, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB131, B) <=> v124(constB131, B)))) | (~less_3(bitIndex2)) | (v121(constB131, bitIndex2) <=> v124(constB131, bitIndex2)))),
% 8.99/6.58 inference(rewrite,[status(thm)],[])).
% 8.99/6.58 tff(20578,plain,
% 8.99/6.58 ((~![B: $i] : ((~less_3(B)) | (v121(constB131, B) <=> v124(constB131, B)))) | ((~less_3(bitIndex2)) | (v121(constB131, bitIndex2) <=> v124(constB131, bitIndex2)))),
% 8.99/6.58 inference(quant_inst,[status(thm)],[])).
% 8.99/6.58 tff(20579,plain,
% 8.99/6.58 ((~![B: $i] : ((~less_3(B)) | (v121(constB131, B) <=> v124(constB131, B)))) | (~less_3(bitIndex2)) | (v121(constB131, bitIndex2) <=> v124(constB131, bitIndex2))),
% 8.99/6.58 inference(modus_ponens,[status(thm)],[20578, 20577])).
% 8.99/6.58 tff(20580,plain,
% 8.99/6.58 (v121(constB131, bitIndex2) <=> v124(constB131, bitIndex2)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[20579, 832, 20576])).
% 8.99/6.58 tff(20581,plain,
% 8.99/6.58 (((~![VarCurr: $i] : ((~v118(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b110(B))))) | ((~v118(constB131)) | ![B: $i] : ((~less_3(B)) | (v124(constB131, B) <=> b110(B))))) <=> ((~![VarCurr: $i] : ((~v118(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b110(B))))) | (~v118(constB131)) | ![B: $i] : ((~less_3(B)) | (v124(constB131, B) <=> b110(B))))),
% 8.99/6.58 inference(rewrite,[status(thm)],[])).
% 8.99/6.58 tff(20582,plain,
% 8.99/6.58 ((~![VarCurr: $i] : ((~v118(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b110(B))))) | ((~v118(constB131)) | ![B: $i] : ((~less_3(B)) | (v124(constB131, B) <=> b110(B))))),
% 8.99/6.58 inference(quant_inst,[status(thm)],[])).
% 8.99/6.58 tff(20583,plain,
% 8.99/6.58 ((~![VarCurr: $i] : ((~v118(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b110(B))))) | (~v118(constB131)) | ![B: $i] : ((~less_3(B)) | (v124(constB131, B) <=> b110(B)))),
% 8.99/6.58 inference(modus_ponens,[status(thm)],[20582, 20581])).
% 8.99/6.58 tff(20584,plain,
% 8.99/6.58 ((~v118(constB131)) | ![B: $i] : ((~less_3(B)) | (v124(constB131, B) <=> b110(B)))),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[20583, 10845])).
% 8.99/6.58 tff(20585,plain,
% 8.99/6.58 (![B: $i] : ((~less_3(B)) | (v124(constB131, B) <=> b110(B)))),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[20584, 20520])).
% 8.99/6.58 tff(20586,plain,
% 8.99/6.58 (((~![B: $i] : ((~less_3(B)) | (v124(constB131, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v124(constB131, bitIndex2) <=> b110(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB131, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v124(constB131, bitIndex2) <=> b110(bitIndex2)))),
% 8.99/6.58 inference(rewrite,[status(thm)],[])).
% 8.99/6.58 tff(20587,plain,
% 8.99/6.58 ((~![B: $i] : ((~less_3(B)) | (v124(constB131, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v124(constB131, bitIndex2) <=> b110(bitIndex2)))),
% 8.99/6.58 inference(quant_inst,[status(thm)],[])).
% 8.99/6.58 tff(20588,plain,
% 8.99/6.58 ((~![B: $i] : ((~less_3(B)) | (v124(constB131, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v124(constB131, bitIndex2) <=> b110(bitIndex2))),
% 8.99/6.58 inference(modus_ponens,[status(thm)],[20587, 20586])).
% 8.99/6.58 tff(20589,plain,
% 8.99/6.58 (v124(constB131, bitIndex2) <=> b110(bitIndex2)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[20588, 832, 20585])).
% 8.99/6.58 tff(20590,plain,
% 8.99/6.58 ((~(v124(constB131, bitIndex2) <=> b110(bitIndex2))) | v124(constB131, bitIndex2) | (~b110(bitIndex2))),
% 8.99/6.58 inference(tautology,[status(thm)],[])).
% 8.99/6.58 tff(20591,plain,
% 8.99/6.58 ((~(v124(constB131, bitIndex2) <=> b110(bitIndex2))) | v124(constB131, bitIndex2)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[20590, 10857])).
% 8.99/6.58 tff(20592,plain,
% 8.99/6.58 (v124(constB131, bitIndex2)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[20591, 20589])).
% 8.99/6.58 tff(20593,plain,
% 8.99/6.58 ((~(v121(constB131, bitIndex2) <=> v124(constB131, bitIndex2))) | v121(constB131, bitIndex2) | (~v124(constB131, bitIndex2))),
% 8.99/6.58 inference(tautology,[status(thm)],[])).
% 8.99/6.58 tff(20594,plain,
% 8.99/6.58 (v121(constB131, bitIndex2)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[20593, 20592, 20580])).
% 8.99/6.58 tff(20595,plain,
% 8.99/6.58 ((~(v123(constB132, bitIndex2) <=> v121(constB131, bitIndex2))) | v123(constB132, bitIndex2) | (~v121(constB131, bitIndex2))),
% 8.99/6.58 inference(tautology,[status(thm)],[])).
% 8.99/6.58 tff(20596,plain,
% 8.99/6.58 (v123(constB132, bitIndex2)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[20595, 20594, 20572])).
% 8.99/6.58 tff(20597,plain,
% 8.99/6.58 ((~(v84(constB132, bitIndex2) <=> v123(constB132, bitIndex2))) | v84(constB132, bitIndex2) | (~v123(constB132, bitIndex2))),
% 8.99/6.58 inference(tautology,[status(thm)],[])).
% 8.99/6.58 tff(20598,plain,
% 8.99/6.58 (v84(constB132, bitIndex2)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[20597, 20596, 20564])).
% 8.99/6.58 tff(20599,plain,
% 8.99/6.58 ((~(v84(constB133, bitIndex2) <=> v84(constB132, bitIndex2))) | v84(constB133, bitIndex2) | (~v84(constB132, bitIndex2))),
% 8.99/6.58 inference(tautology,[status(thm)],[])).
% 8.99/6.58 tff(20600,plain,
% 8.99/6.58 (v84(constB133, bitIndex2)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[20599, 20598, 3738])).
% 8.99/6.58 tff(20601,plain,
% 8.99/6.58 (((~![B: $i] : ((~less_3(B)) | (v84(constB133, B) <=> v84(constB132, B)))) | ((~less_3(bitIndex0)) | (v84(constB133, bitIndex0) <=> v84(constB132, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB133, B) <=> v84(constB132, B)))) | (~less_3(bitIndex0)) | (v84(constB133, bitIndex0) <=> v84(constB132, bitIndex0)))),
% 8.99/6.58 inference(rewrite,[status(thm)],[])).
% 8.99/6.58 tff(20602,plain,
% 8.99/6.58 ((~![B: $i] : ((~less_3(B)) | (v84(constB133, B) <=> v84(constB132, B)))) | ((~less_3(bitIndex0)) | (v84(constB133, bitIndex0) <=> v84(constB132, bitIndex0)))),
% 8.99/6.58 inference(quant_inst,[status(thm)],[])).
% 8.99/6.58 tff(20603,plain,
% 8.99/6.58 ((~![B: $i] : ((~less_3(B)) | (v84(constB133, B) <=> v84(constB132, B)))) | (~less_3(bitIndex0)) | (v84(constB133, bitIndex0) <=> v84(constB132, bitIndex0))),
% 8.99/6.58 inference(modus_ponens,[status(thm)],[20602, 20601])).
% 8.99/6.58 tff(20604,plain,
% 8.99/6.58 (v84(constB133, bitIndex0) <=> v84(constB132, bitIndex0)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[20603, 9772, 3734])).
% 8.99/6.58 tff(20605,plain,
% 8.99/6.58 (((~![B: $i] : ((~less_3(B)) | (v84(constB132, B) <=> v123(constB132, B)))) | ((~less_3(bitIndex0)) | (v84(constB132, bitIndex0) <=> v123(constB132, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB132, B) <=> v123(constB132, B)))) | (~less_3(bitIndex0)) | (v84(constB132, bitIndex0) <=> v123(constB132, bitIndex0)))),
% 8.99/6.58 inference(rewrite,[status(thm)],[])).
% 8.99/6.58 tff(20606,plain,
% 8.99/6.58 ((~![B: $i] : ((~less_3(B)) | (v84(constB132, B) <=> v123(constB132, B)))) | ((~less_3(bitIndex0)) | (v84(constB132, bitIndex0) <=> v123(constB132, bitIndex0)))),
% 8.99/6.58 inference(quant_inst,[status(thm)],[])).
% 8.99/6.58 tff(20607,plain,
% 8.99/6.58 ((~![B: $i] : ((~less_3(B)) | (v84(constB132, B) <=> v123(constB132, B)))) | (~less_3(bitIndex0)) | (v84(constB132, bitIndex0) <=> v123(constB132, bitIndex0))),
% 8.99/6.58 inference(modus_ponens,[status(thm)],[20606, 20605])).
% 8.99/6.58 tff(20608,plain,
% 8.99/6.58 (v84(constB132, bitIndex0) <=> v123(constB132, bitIndex0)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[20607, 9772, 20560])).
% 8.99/6.58 tff(20609,plain,
% 8.99/6.58 (((~![B: $i] : ((~less_3(B)) | (v123(constB132, B) <=> v121(constB131, B)))) | ((~less_3(bitIndex0)) | (v123(constB132, bitIndex0) <=> v121(constB131, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB132, B) <=> v121(constB131, B)))) | (~less_3(bitIndex0)) | (v123(constB132, bitIndex0) <=> v121(constB131, bitIndex0)))),
% 8.99/6.58 inference(rewrite,[status(thm)],[])).
% 8.99/6.58 tff(20610,plain,
% 8.99/6.58 ((~![B: $i] : ((~less_3(B)) | (v123(constB132, B) <=> v121(constB131, B)))) | ((~less_3(bitIndex0)) | (v123(constB132, bitIndex0) <=> v121(constB131, bitIndex0)))),
% 8.99/6.58 inference(quant_inst,[status(thm)],[])).
% 8.99/6.58 tff(20611,plain,
% 8.99/6.58 ((~![B: $i] : ((~less_3(B)) | (v123(constB132, B) <=> v121(constB131, B)))) | (~less_3(bitIndex0)) | (v123(constB132, bitIndex0) <=> v121(constB131, bitIndex0))),
% 8.99/6.58 inference(modus_ponens,[status(thm)],[20610, 20609])).
% 8.99/6.58 tff(20612,plain,
% 8.99/6.58 (v123(constB132, bitIndex0) <=> v121(constB131, bitIndex0)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[20611, 9772, 20568])).
% 8.99/6.58 tff(20613,plain,
% 8.99/6.58 (((~![B: $i] : ((~less_3(B)) | (v121(constB131, B) <=> v124(constB131, B)))) | ((~less_3(bitIndex0)) | (v121(constB131, bitIndex0) <=> v124(constB131, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB131, B) <=> v124(constB131, B)))) | (~less_3(bitIndex0)) | (v121(constB131, bitIndex0) <=> v124(constB131, bitIndex0)))),
% 8.99/6.58 inference(rewrite,[status(thm)],[])).
% 8.99/6.58 tff(20614,plain,
% 8.99/6.58 ((~![B: $i] : ((~less_3(B)) | (v121(constB131, B) <=> v124(constB131, B)))) | ((~less_3(bitIndex0)) | (v121(constB131, bitIndex0) <=> v124(constB131, bitIndex0)))),
% 8.99/6.58 inference(quant_inst,[status(thm)],[])).
% 8.99/6.58 tff(20615,plain,
% 8.99/6.58 ((~![B: $i] : ((~less_3(B)) | (v121(constB131, B) <=> v124(constB131, B)))) | (~less_3(bitIndex0)) | (v121(constB131, bitIndex0) <=> v124(constB131, bitIndex0))),
% 8.99/6.58 inference(modus_ponens,[status(thm)],[20614, 20613])).
% 8.99/6.58 tff(20616,plain,
% 8.99/6.58 (v121(constB131, bitIndex0) <=> v124(constB131, bitIndex0)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[20615, 9772, 20576])).
% 8.99/6.58 tff(20617,plain,
% 8.99/6.58 (((~![B: $i] : ((~less_3(B)) | (v124(constB131, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v124(constB131, bitIndex0) <=> b110(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB131, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v124(constB131, bitIndex0) <=> b110(bitIndex0)))),
% 8.99/6.58 inference(rewrite,[status(thm)],[])).
% 8.99/6.58 tff(20618,plain,
% 8.99/6.58 ((~![B: $i] : ((~less_3(B)) | (v124(constB131, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v124(constB131, bitIndex0) <=> b110(bitIndex0)))),
% 8.99/6.58 inference(quant_inst,[status(thm)],[])).
% 8.99/6.58 tff(20619,plain,
% 8.99/6.58 ((~![B: $i] : ((~less_3(B)) | (v124(constB131, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v124(constB131, bitIndex0) <=> b110(bitIndex0))),
% 8.99/6.58 inference(modus_ponens,[status(thm)],[20618, 20617])).
% 8.99/6.58 tff(20620,plain,
% 8.99/6.58 (v124(constB131, bitIndex0) <=> b110(bitIndex0)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[20619, 9772, 20585])).
% 8.99/6.58 tff(20621,plain,
% 8.99/6.58 ((~(v124(constB131, bitIndex0) <=> b110(bitIndex0))) | (~v124(constB131, bitIndex0)) | b110(bitIndex0)),
% 8.99/6.58 inference(tautology,[status(thm)],[])).
% 8.99/6.58 tff(20622,plain,
% 8.99/6.58 ((~(v124(constB131, bitIndex0) <=> b110(bitIndex0))) | (~v124(constB131, bitIndex0))),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[20621, 10891])).
% 8.99/6.58 tff(20623,plain,
% 8.99/6.58 (~v124(constB131, bitIndex0)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[20622, 20620])).
% 8.99/6.58 tff(20624,plain,
% 8.99/6.58 ((~(v121(constB131, bitIndex0) <=> v124(constB131, bitIndex0))) | (~v121(constB131, bitIndex0)) | v124(constB131, bitIndex0)),
% 8.99/6.58 inference(tautology,[status(thm)],[])).
% 8.99/6.58 tff(20625,plain,
% 8.99/6.58 (~v121(constB131, bitIndex0)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[20624, 20623, 20616])).
% 8.99/6.58 tff(20626,plain,
% 8.99/6.58 ((~(v123(constB132, bitIndex0) <=> v121(constB131, bitIndex0))) | (~v123(constB132, bitIndex0)) | v121(constB131, bitIndex0)),
% 8.99/6.58 inference(tautology,[status(thm)],[])).
% 8.99/6.58 tff(20627,plain,
% 8.99/6.58 (~v123(constB132, bitIndex0)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[20626, 20625, 20612])).
% 8.99/6.58 tff(20628,plain,
% 8.99/6.58 ((~(v84(constB132, bitIndex0) <=> v123(constB132, bitIndex0))) | (~v84(constB132, bitIndex0)) | v123(constB132, bitIndex0)),
% 8.99/6.58 inference(tautology,[status(thm)],[])).
% 8.99/6.58 tff(20629,plain,
% 8.99/6.58 (~v84(constB132, bitIndex0)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[20628, 20627, 20608])).
% 8.99/6.58 tff(20630,plain,
% 8.99/6.58 ((~(v84(constB133, bitIndex0) <=> v84(constB132, bitIndex0))) | (~v84(constB133, bitIndex0)) | v84(constB132, bitIndex0)),
% 8.99/6.58 inference(tautology,[status(thm)],[])).
% 8.99/6.58 tff(20631,plain,
% 8.99/6.58 (~v84(constB133, bitIndex0)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[20630, 20629, 20604])).
% 8.99/6.58 tff(20632,plain,
% 8.99/6.58 (((~![B: $i] : ((~less_3(B)) | (v84(constB133, B) <=> v84(constB132, B)))) | ((~less_3(bitIndex1)) | (v84(constB133, bitIndex1) <=> v84(constB132, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB133, B) <=> v84(constB132, B)))) | (~less_3(bitIndex1)) | (v84(constB133, bitIndex1) <=> v84(constB132, bitIndex1)))),
% 8.99/6.58 inference(rewrite,[status(thm)],[])).
% 8.99/6.58 tff(20633,plain,
% 8.99/6.58 ((~![B: $i] : ((~less_3(B)) | (v84(constB133, B) <=> v84(constB132, B)))) | ((~less_3(bitIndex1)) | (v84(constB133, bitIndex1) <=> v84(constB132, bitIndex1)))),
% 8.99/6.58 inference(quant_inst,[status(thm)],[])).
% 8.99/6.58 tff(20634,plain,
% 8.99/6.58 ((~![B: $i] : ((~less_3(B)) | (v84(constB133, B) <=> v84(constB132, B)))) | (~less_3(bitIndex1)) | (v84(constB133, bitIndex1) <=> v84(constB132, bitIndex1))),
% 8.99/6.58 inference(modus_ponens,[status(thm)],[20633, 20632])).
% 8.99/6.58 tff(20635,plain,
% 8.99/6.58 (v84(constB133, bitIndex1) <=> v84(constB132, bitIndex1)),
% 8.99/6.58 inference(unit_resolution,[status(thm)],[20634, 9785, 3734])).
% 8.99/6.58 tff(20636,plain,
% 8.99/6.58 (((~![B: $i] : ((~less_3(B)) | (v84(constB132, B) <=> v123(constB132, B)))) | ((~less_3(bitIndex1)) | (v84(constB132, bitIndex1) <=> v123(constB132, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB132, B) <=> v123(constB132, B)))) | (~less_3(bitIndex1)) | (v84(constB132, bitIndex1) <=> v123(constB132, bitIndex1)))),
% 8.99/6.58 inference(rewrite,[status(thm)],[])).
% 8.99/6.58 tff(20637,plain,
% 8.99/6.58 ((~![B: $i] : ((~less_3(B)) | (v84(constB132, B) <=> v123(constB132, B)))) | ((~less_3(bitIndex1)) | (v84(constB132, bitIndex1) <=> v123(constB132, bitIndex1)))),
% 8.99/6.58 inference(quant_inst,[status(thm)],[])).
% 8.99/6.58 tff(20638,plain,
% 8.99/6.58 ((~![B: $i] : ((~less_3(B)) | (v84(constB132, B) <=> v123(constB132, B)))) | (~less_3(bitIndex1)) | (v84(constB132, bitIndex1) <=> v123(constB132, bitIndex1))),
% 8.99/6.59 inference(modus_ponens,[status(thm)],[20637, 20636])).
% 8.99/6.59 tff(20639,plain,
% 8.99/6.59 (v84(constB132, bitIndex1) <=> v123(constB132, bitIndex1)),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[20638, 9785, 20560])).
% 8.99/6.59 tff(20640,plain,
% 8.99/6.59 (((~![B: $i] : ((~less_3(B)) | (v123(constB132, B) <=> v121(constB131, B)))) | ((~less_3(bitIndex1)) | (v123(constB132, bitIndex1) <=> v121(constB131, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB132, B) <=> v121(constB131, B)))) | (~less_3(bitIndex1)) | (v123(constB132, bitIndex1) <=> v121(constB131, bitIndex1)))),
% 8.99/6.59 inference(rewrite,[status(thm)],[])).
% 8.99/6.59 tff(20641,plain,
% 8.99/6.59 ((~![B: $i] : ((~less_3(B)) | (v123(constB132, B) <=> v121(constB131, B)))) | ((~less_3(bitIndex1)) | (v123(constB132, bitIndex1) <=> v121(constB131, bitIndex1)))),
% 8.99/6.59 inference(quant_inst,[status(thm)],[])).
% 8.99/6.59 tff(20642,plain,
% 8.99/6.59 ((~![B: $i] : ((~less_3(B)) | (v123(constB132, B) <=> v121(constB131, B)))) | (~less_3(bitIndex1)) | (v123(constB132, bitIndex1) <=> v121(constB131, bitIndex1))),
% 8.99/6.59 inference(modus_ponens,[status(thm)],[20641, 20640])).
% 8.99/6.59 tff(20643,plain,
% 8.99/6.59 (v123(constB132, bitIndex1) <=> v121(constB131, bitIndex1)),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[20642, 9785, 20568])).
% 8.99/6.59 tff(20644,plain,
% 8.99/6.59 (((~![B: $i] : ((~less_3(B)) | (v121(constB131, B) <=> v124(constB131, B)))) | ((~less_3(bitIndex1)) | (v121(constB131, bitIndex1) <=> v124(constB131, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB131, B) <=> v124(constB131, B)))) | (~less_3(bitIndex1)) | (v121(constB131, bitIndex1) <=> v124(constB131, bitIndex1)))),
% 8.99/6.59 inference(rewrite,[status(thm)],[])).
% 8.99/6.59 tff(20645,plain,
% 8.99/6.59 ((~![B: $i] : ((~less_3(B)) | (v121(constB131, B) <=> v124(constB131, B)))) | ((~less_3(bitIndex1)) | (v121(constB131, bitIndex1) <=> v124(constB131, bitIndex1)))),
% 8.99/6.59 inference(quant_inst,[status(thm)],[])).
% 8.99/6.59 tff(20646,plain,
% 8.99/6.59 ((~![B: $i] : ((~less_3(B)) | (v121(constB131, B) <=> v124(constB131, B)))) | (~less_3(bitIndex1)) | (v121(constB131, bitIndex1) <=> v124(constB131, bitIndex1))),
% 8.99/6.59 inference(modus_ponens,[status(thm)],[20645, 20644])).
% 8.99/6.59 tff(20647,plain,
% 8.99/6.59 (v121(constB131, bitIndex1) <=> v124(constB131, bitIndex1)),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[20646, 9785, 20576])).
% 8.99/6.59 tff(20648,plain,
% 8.99/6.59 (((~![B: $i] : ((~less_3(B)) | (v124(constB131, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v124(constB131, bitIndex1) <=> b110(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB131, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v124(constB131, bitIndex1) <=> b110(bitIndex1)))),
% 8.99/6.59 inference(rewrite,[status(thm)],[])).
% 8.99/6.59 tff(20649,plain,
% 8.99/6.59 ((~![B: $i] : ((~less_3(B)) | (v124(constB131, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v124(constB131, bitIndex1) <=> b110(bitIndex1)))),
% 8.99/6.59 inference(quant_inst,[status(thm)],[])).
% 8.99/6.59 tff(20650,plain,
% 8.99/6.59 ((~![B: $i] : ((~less_3(B)) | (v124(constB131, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v124(constB131, bitIndex1) <=> b110(bitIndex1))),
% 8.99/6.59 inference(modus_ponens,[status(thm)],[20649, 20648])).
% 8.99/6.59 tff(20651,plain,
% 8.99/6.59 (v124(constB131, bitIndex1) <=> b110(bitIndex1)),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[20650, 9785, 20585])).
% 8.99/6.59 tff(20652,plain,
% 8.99/6.59 ((~(v124(constB131, bitIndex1) <=> b110(bitIndex1))) | v124(constB131, bitIndex1) | (~b110(bitIndex1))),
% 8.99/6.59 inference(tautology,[status(thm)],[])).
% 8.99/6.59 tff(20653,plain,
% 8.99/6.59 ((~(v124(constB131, bitIndex1) <=> b110(bitIndex1))) | v124(constB131, bitIndex1)),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[20652, 10925])).
% 8.99/6.59 tff(20654,plain,
% 8.99/6.59 (v124(constB131, bitIndex1)),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[20653, 20651])).
% 8.99/6.59 tff(20655,plain,
% 8.99/6.59 ((~(v121(constB131, bitIndex1) <=> v124(constB131, bitIndex1))) | v121(constB131, bitIndex1) | (~v124(constB131, bitIndex1))),
% 8.99/6.59 inference(tautology,[status(thm)],[])).
% 8.99/6.59 tff(20656,plain,
% 8.99/6.59 (v121(constB131, bitIndex1)),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[20655, 20654, 20647])).
% 8.99/6.59 tff(20657,plain,
% 8.99/6.59 ((~(v123(constB132, bitIndex1) <=> v121(constB131, bitIndex1))) | v123(constB132, bitIndex1) | (~v121(constB131, bitIndex1))),
% 8.99/6.59 inference(tautology,[status(thm)],[])).
% 8.99/6.59 tff(20658,plain,
% 8.99/6.59 (v123(constB132, bitIndex1)),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[20657, 20656, 20643])).
% 8.99/6.59 tff(20659,plain,
% 8.99/6.59 ((~(v84(constB132, bitIndex1) <=> v123(constB132, bitIndex1))) | v84(constB132, bitIndex1) | (~v123(constB132, bitIndex1))),
% 8.99/6.59 inference(tautology,[status(thm)],[])).
% 8.99/6.59 tff(20660,plain,
% 8.99/6.59 (v84(constB132, bitIndex1)),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[20659, 20658, 20639])).
% 8.99/6.59 tff(20661,plain,
% 8.99/6.59 ((~(v84(constB133, bitIndex1) <=> v84(constB132, bitIndex1))) | v84(constB133, bitIndex1) | (~v84(constB132, bitIndex1))),
% 8.99/6.59 inference(tautology,[status(thm)],[])).
% 8.99/6.59 tff(20662,plain,
% 8.99/6.59 (v84(constB133, bitIndex1)),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[20661, 20660, 20635])).
% 8.99/6.59 tff(20663,plain,
% 8.99/6.59 ((~((~v84(constB133, bitIndex2)) | (~v84(constB133, bitIndex1)) | v84(constB133, bitIndex0))) | (~v84(constB133, bitIndex2)) | (~v84(constB133, bitIndex1)) | v84(constB133, bitIndex0)),
% 8.99/6.59 inference(tautology,[status(thm)],[])).
% 8.99/6.59 tff(20664,plain,
% 8.99/6.59 (~((~v84(constB133, bitIndex2)) | (~v84(constB133, bitIndex1)) | v84(constB133, bitIndex0))),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[20663, 20662, 20631, 20600])).
% 8.99/6.59 tff(20665,plain,
% 8.99/6.59 ((~(v119(constB133) <=> (~((~v84(constB133, bitIndex2)) | (~v84(constB133, bitIndex1)) | v84(constB133, bitIndex0))))) | v119(constB133) | ((~v84(constB133, bitIndex2)) | (~v84(constB133, bitIndex1)) | v84(constB133, bitIndex0))),
% 8.99/6.59 inference(tautology,[status(thm)],[])).
% 8.99/6.59 tff(20666,plain,
% 8.99/6.59 (v119(constB133)),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[20665, 20664, 3706])).
% 8.99/6.59 tff(20667,plain,
% 8.99/6.59 ((v108(constB133) | v119(constB133)) | (~v119(constB133))),
% 8.99/6.59 inference(tautology,[status(thm)],[])).
% 8.99/6.59 tff(20668,plain,
% 8.99/6.59 (v108(constB133) | v119(constB133)),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[20667, 20666])).
% 8.99/6.59 tff(20669,plain,
% 8.99/6.59 ((~(v107(constB133) <=> (v108(constB133) | v119(constB133)))) | v107(constB133) | (~(v108(constB133) | v119(constB133)))),
% 8.99/6.59 inference(tautology,[status(thm)],[])).
% 8.99/6.59 tff(20670,plain,
% 8.99/6.59 (v107(constB133)),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[20669, 20668, 3699])).
% 8.99/6.59 tff(20671,plain,
% 8.99/6.59 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB133)) <=> v105(constB133))),
% 8.99/6.59 inference(quant_inst,[status(thm)],[])).
% 8.99/6.59 tff(20672,plain,
% 8.99/6.59 ((~v120(constB133)) <=> v105(constB133)),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[20671, 9842])).
% 8.99/6.59 tff(20673,plain,
% 8.99/6.59 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB133) <=> v26(constB133))),
% 8.99/6.59 inference(quant_inst,[status(thm)],[])).
% 8.99/6.59 tff(20674,plain,
% 8.99/6.59 (v105(constB133) <=> v26(constB133)),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[20673, 9854])).
% 8.99/6.59 tff(20675,plain,
% 8.99/6.59 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB133))),
% 8.99/6.59 inference(quant_inst,[status(thm)],[])).
% 8.99/6.59 tff(20676,plain,
% 8.99/6.59 (~v26(constB133)),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[20675, 9866])).
% 8.99/6.59 tff(20677,plain,
% 8.99/6.59 ((~(v105(constB133) <=> v26(constB133))) | (~v105(constB133)) | v26(constB133)),
% 8.99/6.59 inference(tautology,[status(thm)],[])).
% 8.99/6.59 tff(20678,plain,
% 8.99/6.59 ((~(v105(constB133) <=> v26(constB133))) | (~v105(constB133))),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[20677, 20676])).
% 8.99/6.59 tff(20679,plain,
% 8.99/6.59 (~v105(constB133)),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[20678, 20674])).
% 8.99/6.59 tff(20680,plain,
% 8.99/6.59 ((~((~v120(constB133)) <=> v105(constB133))) | v120(constB133) | v105(constB133)),
% 8.99/6.59 inference(tautology,[status(thm)],[])).
% 8.99/6.59 tff(20681,plain,
% 8.99/6.59 ((~((~v120(constB133)) <=> v105(constB133))) | v120(constB133)),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[20680, 20679])).
% 8.99/6.59 tff(20682,plain,
% 8.99/6.59 (v120(constB133)),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[20681, 20672])).
% 8.99/6.59 tff(20683,plain,
% 8.99/6.59 ((~((~v107(constB133)) | (~v120(constB133)))) | (~v107(constB133)) | (~v120(constB133))),
% 8.99/6.59 inference(tautology,[status(thm)],[])).
% 8.99/6.59 tff(20684,plain,
% 8.99/6.59 ((~((~v107(constB133)) | (~v120(constB133)))) | (~v107(constB133))),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[20683, 20682])).
% 8.99/6.59 tff(20685,plain,
% 8.99/6.59 (~((~v107(constB133)) | (~v120(constB133)))),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[20684, 20670])).
% 8.99/6.59 tff(20686,plain,
% 8.99/6.59 ((~(v106(constB133) <=> (~((~v107(constB133)) | (~v120(constB133)))))) | v106(constB133) | ((~v107(constB133)) | (~v120(constB133)))),
% 8.99/6.59 inference(tautology,[status(thm)],[])).
% 8.99/6.59 tff(20687,plain,
% 8.99/6.59 (v106(constB133)),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[20686, 20685, 3697])).
% 8.99/6.59 tff(20688,plain,
% 8.99/6.59 ((v105(constB133) | v106(constB133)) | (~v106(constB133))),
% 8.99/6.59 inference(tautology,[status(thm)],[])).
% 8.99/6.59 tff(20689,plain,
% 8.99/6.59 (v105(constB133) | v106(constB133)),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[20688, 20687])).
% 8.99/6.59 tff(20690,plain,
% 8.99/6.59 ((~(v102(constB133) <=> (v105(constB133) | v106(constB133)))) | v102(constB133) | (~(v105(constB133) | v106(constB133)))),
% 8.99/6.59 inference(tautology,[status(thm)],[])).
% 8.99/6.59 tff(20691,plain,
% 8.99/6.59 (v102(constB133)),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[20690, 20689, 3695])).
% 8.99/6.59 tff(20692,plain,
% 8.99/6.59 ((~(v104(constB134) <=> v102(constB133))) | v104(constB134) | (~v102(constB133))),
% 8.99/6.59 inference(tautology,[status(thm)],[])).
% 8.99/6.59 tff(20693,plain,
% 8.99/6.59 (v104(constB134)),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[20692, 20691, 3693])).
% 8.99/6.59 tff(20694,plain,
% 8.99/6.59 ((~((~v104(constB134)) | (~v95(constB134)))) | (~v104(constB134)) | (~v95(constB134))),
% 8.99/6.59 inference(tautology,[status(thm)],[])).
% 8.99/6.59 tff(20695,plain,
% 8.99/6.59 (~((~v104(constB134)) | (~v95(constB134)))),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[20694, 20693, 3689])).
% 8.99/6.59 tff(20696,plain,
% 8.99/6.59 ((~(v94(constB134) <=> (~((~v104(constB134)) | (~v95(constB134)))))) | v94(constB134) | ((~v104(constB134)) | (~v95(constB134)))),
% 8.99/6.59 inference(tautology,[status(thm)],[])).
% 8.99/6.59 tff(20697,plain,
% 8.99/6.59 (v94(constB134)),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[20696, 20695, 3658])).
% 8.99/6.59 tff(20698,plain,
% 8.99/6.59 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB134)) | ![B: $i] : ((~less_3(B)) | (v84(constB134, B) <=> v123(constB134, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB134)) | ![B: $i] : ((~less_3(B)) | (v84(constB134, B) <=> v123(constB134, B))))),
% 8.99/6.59 inference(rewrite,[status(thm)],[])).
% 8.99/6.59 tff(20699,plain,
% 8.99/6.59 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB134)) | ![B: $i] : ((~less_3(B)) | (v84(constB134, B) <=> v123(constB134, B))))),
% 8.99/6.59 inference(quant_inst,[status(thm)],[])).
% 8.99/6.59 tff(20700,plain,
% 8.99/6.59 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB134)) | ![B: $i] : ((~less_3(B)) | (v84(constB134, B) <=> v123(constB134, B)))),
% 8.99/6.59 inference(modus_ponens,[status(thm)],[20699, 20698])).
% 8.99/6.59 tff(20701,plain,
% 8.99/6.59 ((~v94(constB134)) | ![B: $i] : ((~less_3(B)) | (v84(constB134, B) <=> v123(constB134, B)))),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[20700, 9902])).
% 8.99/6.59 tff(20702,plain,
% 8.99/6.59 (![B: $i] : ((~less_3(B)) | (v84(constB134, B) <=> v123(constB134, B)))),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[20701, 20697])).
% 8.99/6.59 tff(20703,plain,
% 8.99/6.59 (((~![B: $i] : ((~less_3(B)) | (v84(constB134, B) <=> v123(constB134, B)))) | ((~less_3(bitIndex2)) | (v84(constB134, bitIndex2) <=> v123(constB134, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB134, B) <=> v123(constB134, B)))) | (~less_3(bitIndex2)) | (v84(constB134, bitIndex2) <=> v123(constB134, bitIndex2)))),
% 8.99/6.59 inference(rewrite,[status(thm)],[])).
% 8.99/6.59 tff(20704,plain,
% 8.99/6.59 ((~![B: $i] : ((~less_3(B)) | (v84(constB134, B) <=> v123(constB134, B)))) | ((~less_3(bitIndex2)) | (v84(constB134, bitIndex2) <=> v123(constB134, bitIndex2)))),
% 8.99/6.59 inference(quant_inst,[status(thm)],[])).
% 8.99/6.59 tff(20705,plain,
% 8.99/6.59 ((~![B: $i] : ((~less_3(B)) | (v84(constB134, B) <=> v123(constB134, B)))) | (~less_3(bitIndex2)) | (v84(constB134, bitIndex2) <=> v123(constB134, bitIndex2))),
% 8.99/6.59 inference(modus_ponens,[status(thm)],[20704, 20703])).
% 8.99/6.59 tff(20706,plain,
% 8.99/6.59 (v84(constB134, bitIndex2) <=> v123(constB134, bitIndex2)),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[20705, 832, 20702])).
% 8.99/6.59 tff(20707,plain,
% 8.99/6.59 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB133, constB134)) | ![B: $i] : ((~less_3(B)) | (v123(constB134, B) <=> v121(constB133, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB133, constB134)) | ![B: $i] : ((~less_3(B)) | (v123(constB134, B) <=> v121(constB133, B))))),
% 8.99/6.59 inference(rewrite,[status(thm)],[])).
% 8.99/6.59 tff(20708,plain,
% 8.99/6.59 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB133, constB134)) | ![B: $i] : ((~less_3(B)) | (v123(constB134, B) <=> v121(constB133, B))))),
% 8.99/6.59 inference(quant_inst,[status(thm)],[])).
% 8.99/6.59 tff(20709,plain,
% 8.99/6.59 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB133, constB134)) | ![B: $i] : ((~less_3(B)) | (v123(constB134, B) <=> v121(constB133, B)))),
% 8.99/6.59 inference(modus_ponens,[status(thm)],[20708, 20707])).
% 8.99/6.59 tff(20710,plain,
% 8.99/6.59 (![B: $i] : ((~less_3(B)) | (v123(constB134, B) <=> v121(constB133, B)))),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[20709, 3654, 9924])).
% 8.99/6.59 tff(20711,plain,
% 8.99/6.59 (((~![B: $i] : ((~less_3(B)) | (v123(constB134, B) <=> v121(constB133, B)))) | ((~less_3(bitIndex2)) | (v123(constB134, bitIndex2) <=> v121(constB133, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB134, B) <=> v121(constB133, B)))) | (~less_3(bitIndex2)) | (v123(constB134, bitIndex2) <=> v121(constB133, bitIndex2)))),
% 8.99/6.59 inference(rewrite,[status(thm)],[])).
% 8.99/6.59 tff(20712,plain,
% 8.99/6.59 ((~![B: $i] : ((~less_3(B)) | (v123(constB134, B) <=> v121(constB133, B)))) | ((~less_3(bitIndex2)) | (v123(constB134, bitIndex2) <=> v121(constB133, bitIndex2)))),
% 8.99/6.59 inference(quant_inst,[status(thm)],[])).
% 8.99/6.59 tff(20713,plain,
% 8.99/6.59 ((~![B: $i] : ((~less_3(B)) | (v123(constB134, B) <=> v121(constB133, B)))) | (~less_3(bitIndex2)) | (v123(constB134, bitIndex2) <=> v121(constB133, bitIndex2))),
% 8.99/6.59 inference(modus_ponens,[status(thm)],[20712, 20711])).
% 8.99/6.59 tff(20714,plain,
% 8.99/6.59 (v123(constB134, bitIndex2) <=> v121(constB133, bitIndex2)),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[20713, 832, 20710])).
% 8.99/6.59 tff(20715,plain,
% 8.99/6.59 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB133) | ![B: $i] : ((~less_3(B)) | (v121(constB133, B) <=> v124(constB133, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB133) | ![B: $i] : ((~less_3(B)) | (v121(constB133, B) <=> v124(constB133, B))))),
% 8.99/6.59 inference(rewrite,[status(thm)],[])).
% 8.99/6.59 tff(20716,plain,
% 8.99/6.59 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB133) | ![B: $i] : ((~less_3(B)) | (v121(constB133, B) <=> v124(constB133, B))))),
% 8.99/6.59 inference(quant_inst,[status(thm)],[])).
% 8.99/6.59 tff(20717,plain,
% 8.99/6.59 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB133) | ![B: $i] : ((~less_3(B)) | (v121(constB133, B) <=> v124(constB133, B)))),
% 8.99/6.59 inference(modus_ponens,[status(thm)],[20716, 20715])).
% 8.99/6.59 tff(20718,plain,
% 8.99/6.59 (![B: $i] : ((~less_3(B)) | (v121(constB133, B) <=> v124(constB133, B)))),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[20717, 9945, 20679])).
% 8.99/6.59 tff(20719,plain,
% 8.99/6.59 (((~![B: $i] : ((~less_3(B)) | (v121(constB133, B) <=> v124(constB133, B)))) | ((~less_3(bitIndex2)) | (v121(constB133, bitIndex2) <=> v124(constB133, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB133, B) <=> v124(constB133, B)))) | (~less_3(bitIndex2)) | (v121(constB133, bitIndex2) <=> v124(constB133, bitIndex2)))),
% 8.99/6.59 inference(rewrite,[status(thm)],[])).
% 8.99/6.59 tff(20720,plain,
% 8.99/6.59 ((~![B: $i] : ((~less_3(B)) | (v121(constB133, B) <=> v124(constB133, B)))) | ((~less_3(bitIndex2)) | (v121(constB133, bitIndex2) <=> v124(constB133, bitIndex2)))),
% 8.99/6.59 inference(quant_inst,[status(thm)],[])).
% 8.99/6.59 tff(20721,plain,
% 8.99/6.59 ((~![B: $i] : ((~less_3(B)) | (v121(constB133, B) <=> v124(constB133, B)))) | (~less_3(bitIndex2)) | (v121(constB133, bitIndex2) <=> v124(constB133, bitIndex2))),
% 8.99/6.59 inference(modus_ponens,[status(thm)],[20720, 20719])).
% 8.99/6.59 tff(20722,plain,
% 8.99/6.59 (v121(constB133, bitIndex2) <=> v124(constB133, bitIndex2)),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[20721, 832, 20718])).
% 8.99/6.59 tff(20723,plain,
% 8.99/6.59 ((~![VarCurr: $i] : (v113(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))))) | (v113(constB133) <=> (~(v84(constB133, bitIndex0) | v84(constB133, bitIndex1) | v84(constB133, bitIndex2))))),
% 8.99/6.59 inference(quant_inst,[status(thm)],[])).
% 8.99/6.59 tff(20724,plain,
% 8.99/6.59 (v113(constB133) <=> (~(v84(constB133, bitIndex0) | v84(constB133, bitIndex1) | v84(constB133, bitIndex2)))),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[20723, 9739])).
% 8.99/6.59 tff(20725,plain,
% 8.99/6.59 ((v84(constB133, bitIndex0) | v84(constB133, bitIndex1) | v84(constB133, bitIndex2)) | (~v84(constB133, bitIndex2))),
% 8.99/6.59 inference(tautology,[status(thm)],[])).
% 8.99/6.59 tff(20726,plain,
% 8.99/6.59 (v84(constB133, bitIndex0) | v84(constB133, bitIndex1) | v84(constB133, bitIndex2)),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[20725, 20600])).
% 8.99/6.59 tff(20727,plain,
% 8.99/6.59 ((~(v113(constB133) <=> (~(v84(constB133, bitIndex0) | v84(constB133, bitIndex1) | v84(constB133, bitIndex2))))) | (~v113(constB133)) | (~(v84(constB133, bitIndex0) | v84(constB133, bitIndex1) | v84(constB133, bitIndex2)))),
% 8.99/6.59 inference(tautology,[status(thm)],[])).
% 8.99/6.59 tff(20728,plain,
% 8.99/6.59 (~v113(constB133)),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[20727, 20726, 20724])).
% 8.99/6.59 tff(20729,plain,
% 8.99/6.59 (((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB133) <=> (~((~v84(constB133, bitIndex2)) | v84(constB133, bitIndex1) | (~v84(constB133, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB133) <=> (~((~v84(constB133, bitIndex2)) | v84(constB133, bitIndex1) | (~v84(constB133, bitIndex0))))))),
% 8.99/6.59 inference(rewrite,[status(thm)],[])).
% 8.99/6.59 tff(20730,plain,
% 8.99/6.59 ((v118(constB133) <=> (~(v84(constB133, bitIndex1) | (~v84(constB133, bitIndex0)) | (~v84(constB133, bitIndex2))))) <=> (v118(constB133) <=> (~((~v84(constB133, bitIndex2)) | v84(constB133, bitIndex1) | (~v84(constB133, bitIndex0)))))),
% 8.99/6.59 inference(rewrite,[status(thm)],[])).
% 8.99/6.59 tff(20731,plain,
% 8.99/6.59 (((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB133) <=> (~(v84(constB133, bitIndex1) | (~v84(constB133, bitIndex0)) | (~v84(constB133, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB133) <=> (~((~v84(constB133, bitIndex2)) | v84(constB133, bitIndex1) | (~v84(constB133, bitIndex0))))))),
% 8.99/6.59 inference(monotonicity,[status(thm)],[20730])).
% 8.99/6.59 tff(20732,plain,
% 8.99/6.59 (((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB133) <=> (~(v84(constB133, bitIndex1) | (~v84(constB133, bitIndex0)) | (~v84(constB133, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB133) <=> (~((~v84(constB133, bitIndex2)) | v84(constB133, bitIndex1) | (~v84(constB133, bitIndex0))))))),
% 8.99/6.59 inference(transitivity,[status(thm)],[20731, 20729])).
% 8.99/6.59 tff(20733,plain,
% 8.99/6.59 ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB133) <=> (~(v84(constB133, bitIndex1) | (~v84(constB133, bitIndex0)) | (~v84(constB133, bitIndex2)))))),
% 8.99/6.59 inference(quant_inst,[status(thm)],[])).
% 8.99/6.59 tff(20734,plain,
% 8.99/6.59 ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB133) <=> (~((~v84(constB133, bitIndex2)) | v84(constB133, bitIndex1) | (~v84(constB133, bitIndex0)))))),
% 8.99/6.59 inference(modus_ponens,[status(thm)],[20733, 20732])).
% 8.99/6.59 tff(20735,plain,
% 8.99/6.59 (v118(constB133) <=> (~((~v84(constB133, bitIndex2)) | v84(constB133, bitIndex1) | (~v84(constB133, bitIndex0))))),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[20734, 960])).
% 8.99/6.59 tff(20736,plain,
% 8.99/6.59 (((~v84(constB133, bitIndex2)) | v84(constB133, bitIndex1) | (~v84(constB133, bitIndex0))) | (~v84(constB133, bitIndex1))),
% 8.99/6.59 inference(tautology,[status(thm)],[])).
% 8.99/6.59 tff(20737,plain,
% 8.99/6.59 ((~v84(constB133, bitIndex2)) | v84(constB133, bitIndex1) | (~v84(constB133, bitIndex0))),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[20736, 20662])).
% 8.99/6.59 tff(20738,plain,
% 8.99/6.59 ((~(v118(constB133) <=> (~((~v84(constB133, bitIndex2)) | v84(constB133, bitIndex1) | (~v84(constB133, bitIndex0)))))) | (~v118(constB133)) | (~((~v84(constB133, bitIndex2)) | v84(constB133, bitIndex1) | (~v84(constB133, bitIndex0))))),
% 8.99/6.59 inference(tautology,[status(thm)],[])).
% 8.99/6.59 tff(20739,plain,
% 8.99/6.59 (~v118(constB133)),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[20738, 20737, 20735])).
% 8.99/6.59 tff(20740,plain,
% 8.99/6.59 (((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB133) <=> (~((~v84(constB133, bitIndex2)) | v84(constB133, bitIndex1) | v84(constB133, bitIndex0))))) <=> ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB133) <=> (~((~v84(constB133, bitIndex2)) | v84(constB133, bitIndex1) | v84(constB133, bitIndex0)))))),
% 8.99/6.59 inference(rewrite,[status(thm)],[])).
% 8.99/6.59 tff(20741,plain,
% 8.99/6.59 ((v117(constB133) <=> (~(v84(constB133, bitIndex0) | v84(constB133, bitIndex1) | (~v84(constB133, bitIndex2))))) <=> (v117(constB133) <=> (~((~v84(constB133, bitIndex2)) | v84(constB133, bitIndex1) | v84(constB133, bitIndex0))))),
% 8.99/6.59 inference(rewrite,[status(thm)],[])).
% 8.99/6.59 tff(20742,plain,
% 8.99/6.59 (((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB133) <=> (~(v84(constB133, bitIndex0) | v84(constB133, bitIndex1) | (~v84(constB133, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB133) <=> (~((~v84(constB133, bitIndex2)) | v84(constB133, bitIndex1) | v84(constB133, bitIndex0)))))),
% 8.99/6.59 inference(monotonicity,[status(thm)],[20741])).
% 8.99/6.59 tff(20743,plain,
% 8.99/6.59 (((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB133) <=> (~(v84(constB133, bitIndex0) | v84(constB133, bitIndex1) | (~v84(constB133, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB133) <=> (~((~v84(constB133, bitIndex2)) | v84(constB133, bitIndex1) | v84(constB133, bitIndex0)))))),
% 8.99/6.59 inference(transitivity,[status(thm)],[20742, 20740])).
% 8.99/6.59 tff(20744,plain,
% 8.99/6.59 ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB133) <=> (~(v84(constB133, bitIndex0) | v84(constB133, bitIndex1) | (~v84(constB133, bitIndex2)))))),
% 8.99/6.59 inference(quant_inst,[status(thm)],[])).
% 8.99/6.59 tff(20745,plain,
% 8.99/6.59 ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB133) <=> (~((~v84(constB133, bitIndex2)) | v84(constB133, bitIndex1) | v84(constB133, bitIndex0))))),
% 8.99/6.59 inference(modus_ponens,[status(thm)],[20744, 20743])).
% 8.99/6.59 tff(20746,plain,
% 8.99/6.59 (v117(constB133) <=> (~((~v84(constB133, bitIndex2)) | v84(constB133, bitIndex1) | v84(constB133, bitIndex0)))),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[20745, 1071])).
% 8.99/6.59 tff(20747,plain,
% 8.99/6.59 (((~v84(constB133, bitIndex2)) | v84(constB133, bitIndex1) | v84(constB133, bitIndex0)) | (~v84(constB133, bitIndex1))),
% 8.99/6.59 inference(tautology,[status(thm)],[])).
% 8.99/6.59 tff(20748,plain,
% 8.99/6.59 ((~v84(constB133, bitIndex2)) | v84(constB133, bitIndex1) | v84(constB133, bitIndex0)),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[20747, 20662])).
% 8.99/6.59 tff(20749,plain,
% 8.99/6.59 ((~(v117(constB133) <=> (~((~v84(constB133, bitIndex2)) | v84(constB133, bitIndex1) | v84(constB133, bitIndex0))))) | (~v117(constB133)) | (~((~v84(constB133, bitIndex2)) | v84(constB133, bitIndex1) | v84(constB133, bitIndex0)))),
% 8.99/6.59 inference(tautology,[status(thm)],[])).
% 8.99/6.59 tff(20750,plain,
% 8.99/6.59 (~v117(constB133)),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[20749, 20748, 20746])).
% 8.99/6.59 tff(20751,plain,
% 8.99/6.59 ((~![VarCurr: $i] : (v116(VarCurr) <=> (~(v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex0)))))) | (v116(constB133) <=> (~(v84(constB133, bitIndex2) | (~v84(constB133, bitIndex1)) | (~v84(constB133, bitIndex0)))))),
% 8.99/6.59 inference(quant_inst,[status(thm)],[])).
% 8.99/6.59 tff(20752,plain,
% 8.99/6.59 (v116(constB133) <=> (~(v84(constB133, bitIndex2) | (~v84(constB133, bitIndex1)) | (~v84(constB133, bitIndex0))))),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[20751, 1184])).
% 8.99/6.59 tff(20753,plain,
% 8.99/6.59 ((v84(constB133, bitIndex2) | (~v84(constB133, bitIndex1)) | (~v84(constB133, bitIndex0))) | (~v84(constB133, bitIndex2))),
% 8.99/6.59 inference(tautology,[status(thm)],[])).
% 8.99/6.59 tff(20754,plain,
% 8.99/6.59 (v84(constB133, bitIndex2) | (~v84(constB133, bitIndex1)) | (~v84(constB133, bitIndex0))),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[20753, 20600])).
% 8.99/6.59 tff(20755,plain,
% 8.99/6.59 ((~(v116(constB133) <=> (~(v84(constB133, bitIndex2) | (~v84(constB133, bitIndex1)) | (~v84(constB133, bitIndex0)))))) | (~v116(constB133)) | (~(v84(constB133, bitIndex2) | (~v84(constB133, bitIndex1)) | (~v84(constB133, bitIndex0))))),
% 8.99/6.59 inference(tautology,[status(thm)],[])).
% 8.99/6.59 tff(20756,plain,
% 8.99/6.59 (~v116(constB133)),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[20755, 20754, 20752])).
% 8.99/6.59 tff(20757,plain,
% 8.99/6.59 (((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB133) <=> (~(v84(constB133, bitIndex2) | (~v84(constB133, bitIndex1)) | v84(constB133, bitIndex0))))) <=> ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB133) <=> (~(v84(constB133, bitIndex2) | (~v84(constB133, bitIndex1)) | v84(constB133, bitIndex0)))))),
% 8.99/6.59 inference(rewrite,[status(thm)],[])).
% 8.99/6.59 tff(20758,plain,
% 8.99/6.59 ((v115(constB133) <=> (~(v84(constB133, bitIndex0) | v84(constB133, bitIndex2) | (~v84(constB133, bitIndex1))))) <=> (v115(constB133) <=> (~(v84(constB133, bitIndex2) | (~v84(constB133, bitIndex1)) | v84(constB133, bitIndex0))))),
% 8.99/6.59 inference(rewrite,[status(thm)],[])).
% 8.99/6.59 tff(20759,plain,
% 8.99/6.59 (((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB133) <=> (~(v84(constB133, bitIndex0) | v84(constB133, bitIndex2) | (~v84(constB133, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB133) <=> (~(v84(constB133, bitIndex2) | (~v84(constB133, bitIndex1)) | v84(constB133, bitIndex0)))))),
% 8.99/6.59 inference(monotonicity,[status(thm)],[20758])).
% 8.99/6.59 tff(20760,plain,
% 8.99/6.59 (((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB133) <=> (~(v84(constB133, bitIndex0) | v84(constB133, bitIndex2) | (~v84(constB133, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB133) <=> (~(v84(constB133, bitIndex2) | (~v84(constB133, bitIndex1)) | v84(constB133, bitIndex0)))))),
% 8.99/6.59 inference(transitivity,[status(thm)],[20759, 20757])).
% 8.99/6.59 tff(20761,plain,
% 8.99/6.59 ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB133) <=> (~(v84(constB133, bitIndex0) | v84(constB133, bitIndex2) | (~v84(constB133, bitIndex1)))))),
% 8.99/6.59 inference(quant_inst,[status(thm)],[])).
% 8.99/6.59 tff(20762,plain,
% 8.99/6.59 ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB133) <=> (~(v84(constB133, bitIndex2) | (~v84(constB133, bitIndex1)) | v84(constB133, bitIndex0))))),
% 8.99/6.59 inference(modus_ponens,[status(thm)],[20761, 20760])).
% 8.99/6.59 tff(20763,plain,
% 8.99/6.59 (v115(constB133) <=> (~(v84(constB133, bitIndex2) | (~v84(constB133, bitIndex1)) | v84(constB133, bitIndex0)))),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[20762, 1294])).
% 8.99/6.59 tff(20764,plain,
% 8.99/6.59 ((v84(constB133, bitIndex2) | (~v84(constB133, bitIndex1)) | v84(constB133, bitIndex0)) | (~v84(constB133, bitIndex2))),
% 8.99/6.59 inference(tautology,[status(thm)],[])).
% 8.99/6.59 tff(20765,plain,
% 8.99/6.59 (v84(constB133, bitIndex2) | (~v84(constB133, bitIndex1)) | v84(constB133, bitIndex0)),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[20764, 20600])).
% 8.99/6.59 tff(20766,plain,
% 8.99/6.59 ((~(v115(constB133) <=> (~(v84(constB133, bitIndex2) | (~v84(constB133, bitIndex1)) | v84(constB133, bitIndex0))))) | (~v115(constB133)) | (~(v84(constB133, bitIndex2) | (~v84(constB133, bitIndex1)) | v84(constB133, bitIndex0)))),
% 8.99/6.59 inference(tautology,[status(thm)],[])).
% 8.99/6.59 tff(20767,plain,
% 8.99/6.59 (~v115(constB133)),
% 8.99/6.59 inference(unit_resolution,[status(thm)],[20766, 20765, 20763])).
% 8.99/6.59 tff(20768,plain,
% 8.99/6.59 (((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB133) <=> (~(v84(constB133, bitIndex2) | v84(constB133, bitIndex1) | (~v84(constB133, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB133) <=> (~(v84(constB133, bitIndex2) | v84(constB133, bitIndex1) | (~v84(constB133, bitIndex0))))))),
% 8.99/6.59 inference(rewrite,[status(thm)],[])).
% 8.99/6.59 tff(20769,plain,
% 8.99/6.59 ((v114(constB133) <=> (~(v84(constB133, bitIndex1) | v84(constB133, bitIndex2) | (~v84(constB133, bitIndex0))))) <=> (v114(constB133) <=> (~(v84(constB133, bitIndex2) | v84(constB133, bitIndex1) | (~v84(constB133, bitIndex0)))))),
% 8.99/6.59 inference(rewrite,[status(thm)],[])).
% 8.99/6.59 tff(20770,plain,
% 8.99/6.59 (((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB133) <=> (~(v84(constB133, bitIndex1) | v84(constB133, bitIndex2) | (~v84(constB133, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB133) <=> (~(v84(constB133, bitIndex2) | v84(constB133, bitIndex1) | (~v84(constB133, bitIndex0))))))),
% 8.99/6.59 inference(monotonicity,[status(thm)],[20769])).
% 8.99/6.59 tff(20771,plain,
% 8.99/6.59 (((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB133) <=> (~(v84(constB133, bitIndex1) | v84(constB133, bitIndex2) | (~v84(constB133, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB133) <=> (~(v84(constB133, bitIndex2) | v84(constB133, bitIndex1) | (~v84(constB133, bitIndex0))))))),
% 8.99/6.60 inference(transitivity,[status(thm)],[20770, 20768])).
% 8.99/6.60 tff(20772,plain,
% 8.99/6.60 ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB133) <=> (~(v84(constB133, bitIndex1) | v84(constB133, bitIndex2) | (~v84(constB133, bitIndex0)))))),
% 8.99/6.60 inference(quant_inst,[status(thm)],[])).
% 8.99/6.60 tff(20773,plain,
% 8.99/6.60 ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB133) <=> (~(v84(constB133, bitIndex2) | v84(constB133, bitIndex1) | (~v84(constB133, bitIndex0)))))),
% 8.99/6.60 inference(modus_ponens,[status(thm)],[20772, 20771])).
% 8.99/6.60 tff(20774,plain,
% 8.99/6.60 (v114(constB133) <=> (~(v84(constB133, bitIndex2) | v84(constB133, bitIndex1) | (~v84(constB133, bitIndex0))))),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[20773, 1411])).
% 8.99/6.60 tff(20775,plain,
% 8.99/6.60 ((v84(constB133, bitIndex2) | v84(constB133, bitIndex1) | (~v84(constB133, bitIndex0))) | (~v84(constB133, bitIndex2))),
% 8.99/6.60 inference(tautology,[status(thm)],[])).
% 8.99/6.60 tff(20776,plain,
% 8.99/6.60 (v84(constB133, bitIndex2) | v84(constB133, bitIndex1) | (~v84(constB133, bitIndex0))),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[20775, 20600])).
% 8.99/6.60 tff(20777,plain,
% 8.99/6.60 ((~(v114(constB133) <=> (~(v84(constB133, bitIndex2) | v84(constB133, bitIndex1) | (~v84(constB133, bitIndex0)))))) | (~v114(constB133)) | (~(v84(constB133, bitIndex2) | v84(constB133, bitIndex1) | (~v84(constB133, bitIndex0))))),
% 8.99/6.60 inference(tautology,[status(thm)],[])).
% 8.99/6.60 tff(20778,plain,
% 8.99/6.60 (~v114(constB133)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[20777, 20776, 20774])).
% 8.99/6.60 tff(20779,plain,
% 8.99/6.60 (((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | (v113(constB133) | v114(constB133) | v115(constB133) | v116(constB133) | v117(constB133) | v118(constB133) | ![B: $i] : ((~less_3(B)) | (v124(constB133, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | v113(constB133) | v114(constB133) | v115(constB133) | v116(constB133) | v117(constB133) | v118(constB133) | ![B: $i] : ((~less_3(B)) | (v124(constB133, B) <=> b001(B))))),
% 8.99/6.60 inference(rewrite,[status(thm)],[])).
% 8.99/6.60 tff(20780,plain,
% 8.99/6.60 ((v118(constB133) | v117(constB133) | v116(constB133) | v115(constB133) | v114(constB133) | v113(constB133) | ![B: $i] : ((~less_3(B)) | (v124(constB133, B) <=> b001(B)))) <=> (v113(constB133) | v114(constB133) | v115(constB133) | v116(constB133) | v117(constB133) | v118(constB133) | ![B: $i] : ((~less_3(B)) | (v124(constB133, B) <=> b001(B))))),
% 8.99/6.60 inference(rewrite,[status(thm)],[])).
% 8.99/6.60 tff(20781,plain,
% 8.99/6.60 (((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | (v118(constB133) | v117(constB133) | v116(constB133) | v115(constB133) | v114(constB133) | v113(constB133) | ![B: $i] : ((~less_3(B)) | (v124(constB133, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | (v113(constB133) | v114(constB133) | v115(constB133) | v116(constB133) | v117(constB133) | v118(constB133) | ![B: $i] : ((~less_3(B)) | (v124(constB133, B) <=> b001(B)))))),
% 8.99/6.60 inference(monotonicity,[status(thm)],[20780])).
% 8.99/6.60 tff(20782,plain,
% 8.99/6.60 (((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | (v118(constB133) | v117(constB133) | v116(constB133) | v115(constB133) | v114(constB133) | v113(constB133) | ![B: $i] : ((~less_3(B)) | (v124(constB133, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | v113(constB133) | v114(constB133) | v115(constB133) | v116(constB133) | v117(constB133) | v118(constB133) | ![B: $i] : ((~less_3(B)) | (v124(constB133, B) <=> b001(B))))),
% 8.99/6.60 inference(transitivity,[status(thm)],[20781, 20779])).
% 8.99/6.60 tff(20783,plain,
% 8.99/6.60 ((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | (v118(constB133) | v117(constB133) | v116(constB133) | v115(constB133) | v114(constB133) | v113(constB133) | ![B: $i] : ((~less_3(B)) | (v124(constB133, B) <=> b001(B))))),
% 8.99/6.60 inference(quant_inst,[status(thm)],[])).
% 8.99/6.60 tff(20784,plain,
% 8.99/6.60 ((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | v113(constB133) | v114(constB133) | v115(constB133) | v116(constB133) | v117(constB133) | v118(constB133) | ![B: $i] : ((~less_3(B)) | (v124(constB133, B) <=> b001(B)))),
% 8.99/6.60 inference(modus_ponens,[status(thm)],[20783, 20782])).
% 8.99/6.60 tff(20785,plain,
% 8.99/6.60 (v113(constB133) | v114(constB133) | v115(constB133) | v116(constB133) | v117(constB133) | v118(constB133) | ![B: $i] : ((~less_3(B)) | (v124(constB133, B) <=> b001(B)))),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[20784, 11068])).
% 8.99/6.60 tff(20786,plain,
% 8.99/6.60 (![B: $i] : ((~less_3(B)) | (v124(constB133, B) <=> b001(B)))),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[20785, 20778, 20767, 20756, 20750, 20739, 20728])).
% 8.99/6.60 tff(20787,plain,
% 8.99/6.60 (((~![B: $i] : ((~less_3(B)) | (v124(constB133, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v124(constB133, bitIndex2) <=> b001(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB133, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v124(constB133, bitIndex2) <=> b001(bitIndex2)))),
% 8.99/6.60 inference(rewrite,[status(thm)],[])).
% 8.99/6.60 tff(20788,plain,
% 8.99/6.60 ((~![B: $i] : ((~less_3(B)) | (v124(constB133, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v124(constB133, bitIndex2) <=> b001(bitIndex2)))),
% 8.99/6.60 inference(quant_inst,[status(thm)],[])).
% 8.99/6.60 tff(20789,plain,
% 8.99/6.60 ((~![B: $i] : ((~less_3(B)) | (v124(constB133, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v124(constB133, bitIndex2) <=> b001(bitIndex2))),
% 8.99/6.60 inference(modus_ponens,[status(thm)],[20788, 20787])).
% 8.99/6.60 tff(20790,plain,
% 8.99/6.60 (v124(constB133, bitIndex2) <=> b001(bitIndex2)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[20789, 832, 20786])).
% 8.99/6.60 tff(20791,plain,
% 8.99/6.60 ((~(v124(constB133, bitIndex2) <=> b001(bitIndex2))) | (~v124(constB133, bitIndex2)) | b001(bitIndex2)),
% 8.99/6.60 inference(tautology,[status(thm)],[])).
% 8.99/6.60 tff(20792,plain,
% 8.99/6.60 ((~(v124(constB133, bitIndex2) <=> b001(bitIndex2))) | (~v124(constB133, bitIndex2))),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[20791, 9977])).
% 8.99/6.60 tff(20793,plain,
% 8.99/6.60 (~v124(constB133, bitIndex2)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[20792, 20790])).
% 8.99/6.60 tff(20794,plain,
% 8.99/6.60 ((~(v121(constB133, bitIndex2) <=> v124(constB133, bitIndex2))) | (~v121(constB133, bitIndex2)) | v124(constB133, bitIndex2)),
% 8.99/6.60 inference(tautology,[status(thm)],[])).
% 8.99/6.60 tff(20795,plain,
% 8.99/6.60 (~v121(constB133, bitIndex2)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[20794, 20793, 20722])).
% 8.99/6.60 tff(20796,plain,
% 8.99/6.60 ((~(v123(constB134, bitIndex2) <=> v121(constB133, bitIndex2))) | (~v123(constB134, bitIndex2)) | v121(constB133, bitIndex2)),
% 8.99/6.60 inference(tautology,[status(thm)],[])).
% 8.99/6.60 tff(20797,plain,
% 8.99/6.60 (~v123(constB134, bitIndex2)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[20796, 20795, 20714])).
% 8.99/6.60 tff(20798,plain,
% 8.99/6.60 ((~(v84(constB134, bitIndex2) <=> v123(constB134, bitIndex2))) | (~v84(constB134, bitIndex2)) | v123(constB134, bitIndex2)),
% 8.99/6.60 inference(tautology,[status(thm)],[])).
% 8.99/6.60 tff(20799,plain,
% 8.99/6.60 (~v84(constB134, bitIndex2)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[20798, 20797, 20706])).
% 8.99/6.60 tff(20800,plain,
% 8.99/6.60 ((~(v84(constB135, bitIndex2) <=> v84(constB134, bitIndex2))) | (~v84(constB135, bitIndex2)) | v84(constB134, bitIndex2)),
% 8.99/6.60 inference(tautology,[status(thm)],[])).
% 8.99/6.60 tff(20801,plain,
% 8.99/6.60 (~v84(constB135, bitIndex2)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[20800, 20799, 3651])).
% 8.99/6.60 tff(20802,plain,
% 8.99/6.60 (((~![B: $i] : ((~less_3(B)) | (v84(constB135, B) <=> v84(constB134, B)))) | ((~less_3(bitIndex0)) | (v84(constB135, bitIndex0) <=> v84(constB134, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB135, B) <=> v84(constB134, B)))) | (~less_3(bitIndex0)) | (v84(constB135, bitIndex0) <=> v84(constB134, bitIndex0)))),
% 8.99/6.60 inference(rewrite,[status(thm)],[])).
% 8.99/6.60 tff(20803,plain,
% 8.99/6.60 ((~![B: $i] : ((~less_3(B)) | (v84(constB135, B) <=> v84(constB134, B)))) | ((~less_3(bitIndex0)) | (v84(constB135, bitIndex0) <=> v84(constB134, bitIndex0)))),
% 8.99/6.60 inference(quant_inst,[status(thm)],[])).
% 8.99/6.60 tff(20804,plain,
% 8.99/6.60 ((~![B: $i] : ((~less_3(B)) | (v84(constB135, B) <=> v84(constB134, B)))) | (~less_3(bitIndex0)) | (v84(constB135, bitIndex0) <=> v84(constB134, bitIndex0))),
% 8.99/6.60 inference(modus_ponens,[status(thm)],[20803, 20802])).
% 8.99/6.60 tff(20805,plain,
% 8.99/6.60 (v84(constB135, bitIndex0) <=> v84(constB134, bitIndex0)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[20804, 9772, 3647])).
% 8.99/6.60 tff(20806,plain,
% 8.99/6.60 (((~![B: $i] : ((~less_3(B)) | (v84(constB134, B) <=> v123(constB134, B)))) | ((~less_3(bitIndex0)) | (v84(constB134, bitIndex0) <=> v123(constB134, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB134, B) <=> v123(constB134, B)))) | (~less_3(bitIndex0)) | (v84(constB134, bitIndex0) <=> v123(constB134, bitIndex0)))),
% 8.99/6.60 inference(rewrite,[status(thm)],[])).
% 8.99/6.60 tff(20807,plain,
% 8.99/6.60 ((~![B: $i] : ((~less_3(B)) | (v84(constB134, B) <=> v123(constB134, B)))) | ((~less_3(bitIndex0)) | (v84(constB134, bitIndex0) <=> v123(constB134, bitIndex0)))),
% 8.99/6.60 inference(quant_inst,[status(thm)],[])).
% 8.99/6.60 tff(20808,plain,
% 8.99/6.60 ((~![B: $i] : ((~less_3(B)) | (v84(constB134, B) <=> v123(constB134, B)))) | (~less_3(bitIndex0)) | (v84(constB134, bitIndex0) <=> v123(constB134, bitIndex0))),
% 8.99/6.60 inference(modus_ponens,[status(thm)],[20807, 20806])).
% 8.99/6.60 tff(20809,plain,
% 8.99/6.60 (v84(constB134, bitIndex0) <=> v123(constB134, bitIndex0)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[20808, 9772, 20702])).
% 8.99/6.60 tff(20810,plain,
% 8.99/6.60 (((~![B: $i] : ((~less_3(B)) | (v123(constB134, B) <=> v121(constB133, B)))) | ((~less_3(bitIndex0)) | (v123(constB134, bitIndex0) <=> v121(constB133, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB134, B) <=> v121(constB133, B)))) | (~less_3(bitIndex0)) | (v123(constB134, bitIndex0) <=> v121(constB133, bitIndex0)))),
% 8.99/6.60 inference(rewrite,[status(thm)],[])).
% 8.99/6.60 tff(20811,plain,
% 8.99/6.60 ((~![B: $i] : ((~less_3(B)) | (v123(constB134, B) <=> v121(constB133, B)))) | ((~less_3(bitIndex0)) | (v123(constB134, bitIndex0) <=> v121(constB133, bitIndex0)))),
% 8.99/6.60 inference(quant_inst,[status(thm)],[])).
% 8.99/6.60 tff(20812,plain,
% 8.99/6.60 ((~![B: $i] : ((~less_3(B)) | (v123(constB134, B) <=> v121(constB133, B)))) | (~less_3(bitIndex0)) | (v123(constB134, bitIndex0) <=> v121(constB133, bitIndex0))),
% 8.99/6.60 inference(modus_ponens,[status(thm)],[20811, 20810])).
% 8.99/6.60 tff(20813,plain,
% 8.99/6.60 (v123(constB134, bitIndex0) <=> v121(constB133, bitIndex0)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[20812, 9772, 20710])).
% 8.99/6.60 tff(20814,plain,
% 8.99/6.60 (((~![B: $i] : ((~less_3(B)) | (v121(constB133, B) <=> v124(constB133, B)))) | ((~less_3(bitIndex0)) | (v121(constB133, bitIndex0) <=> v124(constB133, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB133, B) <=> v124(constB133, B)))) | (~less_3(bitIndex0)) | (v121(constB133, bitIndex0) <=> v124(constB133, bitIndex0)))),
% 8.99/6.60 inference(rewrite,[status(thm)],[])).
% 8.99/6.60 tff(20815,plain,
% 8.99/6.60 ((~![B: $i] : ((~less_3(B)) | (v121(constB133, B) <=> v124(constB133, B)))) | ((~less_3(bitIndex0)) | (v121(constB133, bitIndex0) <=> v124(constB133, bitIndex0)))),
% 8.99/6.60 inference(quant_inst,[status(thm)],[])).
% 8.99/6.60 tff(20816,plain,
% 8.99/6.60 ((~![B: $i] : ((~less_3(B)) | (v121(constB133, B) <=> v124(constB133, B)))) | (~less_3(bitIndex0)) | (v121(constB133, bitIndex0) <=> v124(constB133, bitIndex0))),
% 8.99/6.60 inference(modus_ponens,[status(thm)],[20815, 20814])).
% 8.99/6.60 tff(20817,plain,
% 8.99/6.60 (v121(constB133, bitIndex0) <=> v124(constB133, bitIndex0)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[20816, 9772, 20718])).
% 8.99/6.60 tff(20818,plain,
% 8.99/6.60 (((~![B: $i] : ((~less_3(B)) | (v124(constB133, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v124(constB133, bitIndex0) <=> b001(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB133, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v124(constB133, bitIndex0) <=> b001(bitIndex0)))),
% 8.99/6.60 inference(rewrite,[status(thm)],[])).
% 8.99/6.60 tff(20819,plain,
% 8.99/6.60 ((~![B: $i] : ((~less_3(B)) | (v124(constB133, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v124(constB133, bitIndex0) <=> b001(bitIndex0)))),
% 8.99/6.60 inference(quant_inst,[status(thm)],[])).
% 8.99/6.60 tff(20820,plain,
% 8.99/6.60 ((~![B: $i] : ((~less_3(B)) | (v124(constB133, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v124(constB133, bitIndex0) <=> b001(bitIndex0))),
% 8.99/6.60 inference(modus_ponens,[status(thm)],[20819, 20818])).
% 8.99/6.60 tff(20821,plain,
% 8.99/6.60 (v124(constB133, bitIndex0) <=> b001(bitIndex0)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[20820, 9772, 20786])).
% 8.99/6.60 tff(20822,plain,
% 8.99/6.60 ((~(v124(constB133, bitIndex0) <=> b001(bitIndex0))) | v124(constB133, bitIndex0) | (~b001(bitIndex0))),
% 8.99/6.60 inference(tautology,[status(thm)],[])).
% 8.99/6.60 tff(20823,plain,
% 8.99/6.60 ((~(v124(constB133, bitIndex0) <=> b001(bitIndex0))) | v124(constB133, bitIndex0)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[20822, 10011])).
% 8.99/6.60 tff(20824,plain,
% 8.99/6.60 (v124(constB133, bitIndex0)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[20823, 20821])).
% 8.99/6.60 tff(20825,plain,
% 8.99/6.60 ((~(v121(constB133, bitIndex0) <=> v124(constB133, bitIndex0))) | v121(constB133, bitIndex0) | (~v124(constB133, bitIndex0))),
% 8.99/6.60 inference(tautology,[status(thm)],[])).
% 8.99/6.60 tff(20826,plain,
% 8.99/6.60 (v121(constB133, bitIndex0)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[20825, 20824, 20817])).
% 8.99/6.60 tff(20827,plain,
% 8.99/6.60 ((~(v123(constB134, bitIndex0) <=> v121(constB133, bitIndex0))) | v123(constB134, bitIndex0) | (~v121(constB133, bitIndex0))),
% 8.99/6.60 inference(tautology,[status(thm)],[])).
% 8.99/6.60 tff(20828,plain,
% 8.99/6.60 (v123(constB134, bitIndex0)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[20827, 20826, 20813])).
% 8.99/6.60 tff(20829,plain,
% 8.99/6.60 ((~(v84(constB134, bitIndex0) <=> v123(constB134, bitIndex0))) | v84(constB134, bitIndex0) | (~v123(constB134, bitIndex0))),
% 8.99/6.60 inference(tautology,[status(thm)],[])).
% 8.99/6.60 tff(20830,plain,
% 8.99/6.60 (v84(constB134, bitIndex0)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[20829, 20828, 20809])).
% 8.99/6.60 tff(20831,plain,
% 8.99/6.60 ((~(v84(constB135, bitIndex0) <=> v84(constB134, bitIndex0))) | v84(constB135, bitIndex0) | (~v84(constB134, bitIndex0))),
% 8.99/6.60 inference(tautology,[status(thm)],[])).
% 8.99/6.60 tff(20832,plain,
% 8.99/6.60 (v84(constB135, bitIndex0)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[20831, 20830, 20805])).
% 8.99/6.60 tff(20833,plain,
% 8.99/6.60 (((~![B: $i] : ((~less_3(B)) | (v84(constB135, B) <=> v84(constB134, B)))) | ((~less_3(bitIndex1)) | (v84(constB135, bitIndex1) <=> v84(constB134, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB135, B) <=> v84(constB134, B)))) | (~less_3(bitIndex1)) | (v84(constB135, bitIndex1) <=> v84(constB134, bitIndex1)))),
% 8.99/6.60 inference(rewrite,[status(thm)],[])).
% 8.99/6.60 tff(20834,plain,
% 8.99/6.60 ((~![B: $i] : ((~less_3(B)) | (v84(constB135, B) <=> v84(constB134, B)))) | ((~less_3(bitIndex1)) | (v84(constB135, bitIndex1) <=> v84(constB134, bitIndex1)))),
% 8.99/6.60 inference(quant_inst,[status(thm)],[])).
% 8.99/6.60 tff(20835,plain,
% 8.99/6.60 ((~![B: $i] : ((~less_3(B)) | (v84(constB135, B) <=> v84(constB134, B)))) | (~less_3(bitIndex1)) | (v84(constB135, bitIndex1) <=> v84(constB134, bitIndex1))),
% 8.99/6.60 inference(modus_ponens,[status(thm)],[20834, 20833])).
% 8.99/6.60 tff(20836,plain,
% 8.99/6.60 (v84(constB135, bitIndex1) <=> v84(constB134, bitIndex1)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[20835, 9785, 3647])).
% 8.99/6.60 tff(20837,plain,
% 8.99/6.60 (((~![B: $i] : ((~less_3(B)) | (v84(constB134, B) <=> v123(constB134, B)))) | ((~less_3(bitIndex1)) | (v84(constB134, bitIndex1) <=> v123(constB134, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB134, B) <=> v123(constB134, B)))) | (~less_3(bitIndex1)) | (v84(constB134, bitIndex1) <=> v123(constB134, bitIndex1)))),
% 8.99/6.60 inference(rewrite,[status(thm)],[])).
% 8.99/6.60 tff(20838,plain,
% 8.99/6.60 ((~![B: $i] : ((~less_3(B)) | (v84(constB134, B) <=> v123(constB134, B)))) | ((~less_3(bitIndex1)) | (v84(constB134, bitIndex1) <=> v123(constB134, bitIndex1)))),
% 8.99/6.60 inference(quant_inst,[status(thm)],[])).
% 8.99/6.60 tff(20839,plain,
% 8.99/6.60 ((~![B: $i] : ((~less_3(B)) | (v84(constB134, B) <=> v123(constB134, B)))) | (~less_3(bitIndex1)) | (v84(constB134, bitIndex1) <=> v123(constB134, bitIndex1))),
% 8.99/6.60 inference(modus_ponens,[status(thm)],[20838, 20837])).
% 8.99/6.60 tff(20840,plain,
% 8.99/6.60 (v84(constB134, bitIndex1) <=> v123(constB134, bitIndex1)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[20839, 9785, 20702])).
% 8.99/6.60 tff(20841,plain,
% 8.99/6.60 (((~![B: $i] : ((~less_3(B)) | (v123(constB134, B) <=> v121(constB133, B)))) | ((~less_3(bitIndex1)) | (v123(constB134, bitIndex1) <=> v121(constB133, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB134, B) <=> v121(constB133, B)))) | (~less_3(bitIndex1)) | (v123(constB134, bitIndex1) <=> v121(constB133, bitIndex1)))),
% 8.99/6.60 inference(rewrite,[status(thm)],[])).
% 8.99/6.60 tff(20842,plain,
% 8.99/6.60 ((~![B: $i] : ((~less_3(B)) | (v123(constB134, B) <=> v121(constB133, B)))) | ((~less_3(bitIndex1)) | (v123(constB134, bitIndex1) <=> v121(constB133, bitIndex1)))),
% 8.99/6.60 inference(quant_inst,[status(thm)],[])).
% 8.99/6.60 tff(20843,plain,
% 8.99/6.60 ((~![B: $i] : ((~less_3(B)) | (v123(constB134, B) <=> v121(constB133, B)))) | (~less_3(bitIndex1)) | (v123(constB134, bitIndex1) <=> v121(constB133, bitIndex1))),
% 8.99/6.60 inference(modus_ponens,[status(thm)],[20842, 20841])).
% 8.99/6.60 tff(20844,plain,
% 8.99/6.60 (v123(constB134, bitIndex1) <=> v121(constB133, bitIndex1)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[20843, 9785, 20710])).
% 8.99/6.60 tff(20845,plain,
% 8.99/6.60 (((~![B: $i] : ((~less_3(B)) | (v121(constB133, B) <=> v124(constB133, B)))) | ((~less_3(bitIndex1)) | (v121(constB133, bitIndex1) <=> v124(constB133, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB133, B) <=> v124(constB133, B)))) | (~less_3(bitIndex1)) | (v121(constB133, bitIndex1) <=> v124(constB133, bitIndex1)))),
% 8.99/6.60 inference(rewrite,[status(thm)],[])).
% 8.99/6.60 tff(20846,plain,
% 8.99/6.60 ((~![B: $i] : ((~less_3(B)) | (v121(constB133, B) <=> v124(constB133, B)))) | ((~less_3(bitIndex1)) | (v121(constB133, bitIndex1) <=> v124(constB133, bitIndex1)))),
% 8.99/6.60 inference(quant_inst,[status(thm)],[])).
% 8.99/6.60 tff(20847,plain,
% 8.99/6.60 ((~![B: $i] : ((~less_3(B)) | (v121(constB133, B) <=> v124(constB133, B)))) | (~less_3(bitIndex1)) | (v121(constB133, bitIndex1) <=> v124(constB133, bitIndex1))),
% 8.99/6.60 inference(modus_ponens,[status(thm)],[20846, 20845])).
% 8.99/6.60 tff(20848,plain,
% 8.99/6.60 (v121(constB133, bitIndex1) <=> v124(constB133, bitIndex1)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[20847, 9785, 20718])).
% 8.99/6.60 tff(20849,plain,
% 8.99/6.60 (((~![B: $i] : ((~less_3(B)) | (v124(constB133, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v124(constB133, bitIndex1) <=> b001(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB133, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v124(constB133, bitIndex1) <=> b001(bitIndex1)))),
% 8.99/6.60 inference(rewrite,[status(thm)],[])).
% 8.99/6.60 tff(20850,plain,
% 8.99/6.60 ((~![B: $i] : ((~less_3(B)) | (v124(constB133, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v124(constB133, bitIndex1) <=> b001(bitIndex1)))),
% 8.99/6.60 inference(quant_inst,[status(thm)],[])).
% 8.99/6.60 tff(20851,plain,
% 8.99/6.60 ((~![B: $i] : ((~less_3(B)) | (v124(constB133, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v124(constB133, bitIndex1) <=> b001(bitIndex1))),
% 8.99/6.60 inference(modus_ponens,[status(thm)],[20850, 20849])).
% 8.99/6.60 tff(20852,plain,
% 8.99/6.60 (v124(constB133, bitIndex1) <=> b001(bitIndex1)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[20851, 9785, 20786])).
% 8.99/6.60 tff(20853,plain,
% 8.99/6.60 ((~(v124(constB133, bitIndex1) <=> b001(bitIndex1))) | (~v124(constB133, bitIndex1)) | b001(bitIndex1)),
% 8.99/6.60 inference(tautology,[status(thm)],[])).
% 8.99/6.60 tff(20854,plain,
% 8.99/6.60 ((~(v124(constB133, bitIndex1) <=> b001(bitIndex1))) | (~v124(constB133, bitIndex1))),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[20853, 10045])).
% 8.99/6.60 tff(20855,plain,
% 8.99/6.60 (~v124(constB133, bitIndex1)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[20854, 20852])).
% 8.99/6.60 tff(20856,plain,
% 8.99/6.60 ((~(v121(constB133, bitIndex1) <=> v124(constB133, bitIndex1))) | (~v121(constB133, bitIndex1)) | v124(constB133, bitIndex1)),
% 8.99/6.60 inference(tautology,[status(thm)],[])).
% 8.99/6.60 tff(20857,plain,
% 8.99/6.60 (~v121(constB133, bitIndex1)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[20856, 20855, 20848])).
% 8.99/6.60 tff(20858,plain,
% 8.99/6.60 ((~(v123(constB134, bitIndex1) <=> v121(constB133, bitIndex1))) | (~v123(constB134, bitIndex1)) | v121(constB133, bitIndex1)),
% 8.99/6.60 inference(tautology,[status(thm)],[])).
% 8.99/6.60 tff(20859,plain,
% 8.99/6.60 (~v123(constB134, bitIndex1)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[20858, 20857, 20844])).
% 8.99/6.60 tff(20860,plain,
% 8.99/6.60 ((~(v84(constB134, bitIndex1) <=> v123(constB134, bitIndex1))) | (~v84(constB134, bitIndex1)) | v123(constB134, bitIndex1)),
% 8.99/6.60 inference(tautology,[status(thm)],[])).
% 8.99/6.60 tff(20861,plain,
% 8.99/6.60 (~v84(constB134, bitIndex1)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[20860, 20859, 20840])).
% 8.99/6.60 tff(20862,plain,
% 8.99/6.60 ((~(v84(constB135, bitIndex1) <=> v84(constB134, bitIndex1))) | (~v84(constB135, bitIndex1)) | v84(constB134, bitIndex1)),
% 8.99/6.60 inference(tautology,[status(thm)],[])).
% 8.99/6.60 tff(20863,plain,
% 8.99/6.60 (~v84(constB135, bitIndex1)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[20862, 20861, 20836])).
% 8.99/6.60 tff(20864,plain,
% 8.99/6.60 ((~(v84(constB135, bitIndex2) | v84(constB135, bitIndex1) | (~v84(constB135, bitIndex0)))) | v84(constB135, bitIndex2) | v84(constB135, bitIndex1) | (~v84(constB135, bitIndex0))),
% 8.99/6.60 inference(tautology,[status(thm)],[])).
% 8.99/6.60 tff(20865,plain,
% 8.99/6.60 (~(v84(constB135, bitIndex2) | v84(constB135, bitIndex1) | (~v84(constB135, bitIndex0)))),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[20864, 20863, 20832, 20801])).
% 8.99/6.60 tff(20866,plain,
% 8.99/6.60 ((~(v114(constB135) <=> (~(v84(constB135, bitIndex2) | v84(constB135, bitIndex1) | (~v84(constB135, bitIndex0)))))) | v114(constB135) | (v84(constB135, bitIndex2) | v84(constB135, bitIndex1) | (~v84(constB135, bitIndex0)))),
% 8.99/6.60 inference(tautology,[status(thm)],[])).
% 8.99/6.60 tff(20867,plain,
% 8.99/6.60 (v114(constB135)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[20866, 20865, 3619])).
% 8.99/6.60 tff(20868,plain,
% 8.99/6.60 ((v113(constB135) | v114(constB135)) | (~v114(constB135))),
% 8.99/6.60 inference(tautology,[status(thm)],[])).
% 8.99/6.60 tff(20869,plain,
% 8.99/6.60 (v113(constB135) | v114(constB135)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[20868, 20867])).
% 8.99/6.60 tff(20870,plain,
% 8.99/6.60 ((~(v112(constB135) <=> (v113(constB135) | v114(constB135)))) | v112(constB135) | (~(v113(constB135) | v114(constB135)))),
% 8.99/6.60 inference(tautology,[status(thm)],[])).
% 8.99/6.60 tff(20871,plain,
% 8.99/6.60 (v112(constB135)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[20870, 20869, 3612])).
% 8.99/6.60 tff(20872,plain,
% 8.99/6.60 ((v112(constB135) | v115(constB135)) | (~v112(constB135))),
% 8.99/6.60 inference(tautology,[status(thm)],[])).
% 8.99/6.60 tff(20873,plain,
% 8.99/6.60 (v112(constB135) | v115(constB135)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[20872, 20871])).
% 8.99/6.60 tff(20874,plain,
% 8.99/6.60 ((~(v111(constB135) <=> (v112(constB135) | v115(constB135)))) | v111(constB135) | (~(v112(constB135) | v115(constB135)))),
% 8.99/6.60 inference(tautology,[status(thm)],[])).
% 8.99/6.60 tff(20875,plain,
% 8.99/6.60 (v111(constB135)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[20874, 20873, 3610])).
% 8.99/6.60 tff(20876,plain,
% 8.99/6.60 ((v111(constB135) | v116(constB135)) | (~v111(constB135))),
% 8.99/6.60 inference(tautology,[status(thm)],[])).
% 8.99/6.60 tff(20877,plain,
% 8.99/6.60 (v111(constB135) | v116(constB135)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[20876, 20875])).
% 8.99/6.60 tff(20878,plain,
% 8.99/6.60 ((~(v110(constB135) <=> (v111(constB135) | v116(constB135)))) | v110(constB135) | (~(v111(constB135) | v116(constB135)))),
% 8.99/6.60 inference(tautology,[status(thm)],[])).
% 8.99/6.60 tff(20879,plain,
% 8.99/6.60 (v110(constB135)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[20878, 20877, 3608])).
% 8.99/6.60 tff(20880,plain,
% 8.99/6.60 ((v110(constB135) | v117(constB135)) | (~v110(constB135))),
% 8.99/6.60 inference(tautology,[status(thm)],[])).
% 8.99/6.60 tff(20881,plain,
% 8.99/6.60 (v110(constB135) | v117(constB135)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[20880, 20879])).
% 8.99/6.60 tff(20882,plain,
% 8.99/6.60 ((~(v109(constB135) <=> (v110(constB135) | v117(constB135)))) | v109(constB135) | (~(v110(constB135) | v117(constB135)))),
% 8.99/6.60 inference(tautology,[status(thm)],[])).
% 8.99/6.60 tff(20883,plain,
% 8.99/6.60 (v109(constB135)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[20882, 20881, 3606])).
% 8.99/6.60 tff(20884,plain,
% 8.99/6.60 ((v109(constB135) | v118(constB135)) | (~v109(constB135))),
% 8.99/6.60 inference(tautology,[status(thm)],[])).
% 8.99/6.60 tff(20885,plain,
% 8.99/6.60 (v109(constB135) | v118(constB135)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[20884, 20883])).
% 8.99/6.60 tff(20886,plain,
% 8.99/6.60 ((~(v108(constB135) <=> (v109(constB135) | v118(constB135)))) | v108(constB135) | (~(v109(constB135) | v118(constB135)))),
% 8.99/6.60 inference(tautology,[status(thm)],[])).
% 8.99/6.60 tff(20887,plain,
% 8.99/6.60 (v108(constB135)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[20886, 20885, 3604])).
% 8.99/6.60 tff(20888,plain,
% 8.99/6.60 ((v108(constB135) | v119(constB135)) | (~v108(constB135))),
% 8.99/6.60 inference(tautology,[status(thm)],[])).
% 8.99/6.60 tff(20889,plain,
% 8.99/6.60 (v108(constB135) | v119(constB135)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[20888, 20887])).
% 8.99/6.60 tff(20890,plain,
% 8.99/6.60 ((~(v107(constB135) <=> (v108(constB135) | v119(constB135)))) | v107(constB135) | (~(v108(constB135) | v119(constB135)))),
% 8.99/6.60 inference(tautology,[status(thm)],[])).
% 8.99/6.60 tff(20891,plain,
% 8.99/6.60 (v107(constB135)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[20890, 20889, 3602])).
% 8.99/6.60 tff(20892,plain,
% 8.99/6.60 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB135)) <=> v105(constB135))),
% 8.99/6.60 inference(quant_inst,[status(thm)],[])).
% 8.99/6.60 tff(20893,plain,
% 8.99/6.60 ((~v120(constB135)) <=> v105(constB135)),
% 8.99/6.60 inference(unit_resolution,[status(thm)],[20892, 9842])).
% 8.99/6.60 tff(20894,plain,
% 8.99/6.60 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB135) <=> v26(constB135))),
% 8.99/6.60 inference(quant_inst,[status(thm)],[])).
% 9.09/6.60 tff(20895,plain,
% 9.09/6.60 (v105(constB135) <=> v26(constB135)),
% 9.09/6.60 inference(unit_resolution,[status(thm)],[20894, 9854])).
% 9.09/6.60 tff(20896,plain,
% 9.09/6.60 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB135))),
% 9.09/6.60 inference(quant_inst,[status(thm)],[])).
% 9.09/6.60 tff(20897,plain,
% 9.09/6.60 (~v26(constB135)),
% 9.09/6.60 inference(unit_resolution,[status(thm)],[20896, 9866])).
% 9.09/6.60 tff(20898,plain,
% 9.09/6.60 ((~(v105(constB135) <=> v26(constB135))) | (~v105(constB135)) | v26(constB135)),
% 9.09/6.60 inference(tautology,[status(thm)],[])).
% 9.09/6.60 tff(20899,plain,
% 9.09/6.60 ((~(v105(constB135) <=> v26(constB135))) | (~v105(constB135))),
% 9.09/6.60 inference(unit_resolution,[status(thm)],[20898, 20897])).
% 9.09/6.60 tff(20900,plain,
% 9.09/6.60 (~v105(constB135)),
% 9.09/6.60 inference(unit_resolution,[status(thm)],[20899, 20895])).
% 9.09/6.60 tff(20901,plain,
% 9.09/6.60 ((~((~v120(constB135)) <=> v105(constB135))) | v120(constB135) | v105(constB135)),
% 9.09/6.60 inference(tautology,[status(thm)],[])).
% 9.09/6.60 tff(20902,plain,
% 9.09/6.60 ((~((~v120(constB135)) <=> v105(constB135))) | v120(constB135)),
% 9.09/6.60 inference(unit_resolution,[status(thm)],[20901, 20900])).
% 9.09/6.60 tff(20903,plain,
% 9.09/6.60 (v120(constB135)),
% 9.09/6.60 inference(unit_resolution,[status(thm)],[20902, 20893])).
% 9.09/6.60 tff(20904,plain,
% 9.09/6.60 ((~((~v107(constB135)) | (~v120(constB135)))) | (~v107(constB135)) | (~v120(constB135))),
% 9.09/6.60 inference(tautology,[status(thm)],[])).
% 9.09/6.60 tff(20905,plain,
% 9.09/6.60 ((~((~v107(constB135)) | (~v120(constB135)))) | (~v107(constB135))),
% 9.09/6.60 inference(unit_resolution,[status(thm)],[20904, 20903])).
% 9.09/6.60 tff(20906,plain,
% 9.09/6.60 (~((~v107(constB135)) | (~v120(constB135)))),
% 9.09/6.60 inference(unit_resolution,[status(thm)],[20905, 20891])).
% 9.09/6.60 tff(20907,plain,
% 9.09/6.60 ((~(v106(constB135) <=> (~((~v107(constB135)) | (~v120(constB135)))))) | v106(constB135) | ((~v107(constB135)) | (~v120(constB135)))),
% 9.09/6.60 inference(tautology,[status(thm)],[])).
% 9.09/6.60 tff(20908,plain,
% 9.09/6.60 (v106(constB135)),
% 9.09/6.60 inference(unit_resolution,[status(thm)],[20907, 20906, 3600])).
% 9.09/6.60 tff(20909,plain,
% 9.09/6.60 ((v105(constB135) | v106(constB135)) | (~v106(constB135))),
% 9.09/6.60 inference(tautology,[status(thm)],[])).
% 9.09/6.60 tff(20910,plain,
% 9.09/6.60 (v105(constB135) | v106(constB135)),
% 9.09/6.60 inference(unit_resolution,[status(thm)],[20909, 20908])).
% 9.09/6.60 tff(20911,plain,
% 9.09/6.60 ((~(v102(constB135) <=> (v105(constB135) | v106(constB135)))) | v102(constB135) | (~(v105(constB135) | v106(constB135)))),
% 9.09/6.60 inference(tautology,[status(thm)],[])).
% 9.09/6.60 tff(20912,plain,
% 9.09/6.60 (v102(constB135)),
% 9.09/6.60 inference(unit_resolution,[status(thm)],[20911, 20910, 3598])).
% 9.09/6.60 tff(20913,plain,
% 9.09/6.60 ((~(v104(constB136) <=> v102(constB135))) | v104(constB136) | (~v102(constB135))),
% 9.09/6.60 inference(tautology,[status(thm)],[])).
% 9.09/6.60 tff(20914,plain,
% 9.09/6.60 (v104(constB136)),
% 9.09/6.60 inference(unit_resolution,[status(thm)],[20913, 20912, 3596])).
% 9.09/6.60 tff(20915,plain,
% 9.09/6.60 ((~((~v104(constB136)) | (~v95(constB136)))) | (~v104(constB136)) | (~v95(constB136))),
% 9.09/6.60 inference(tautology,[status(thm)],[])).
% 9.09/6.60 tff(20916,plain,
% 9.09/6.60 (~((~v104(constB136)) | (~v95(constB136)))),
% 9.09/6.60 inference(unit_resolution,[status(thm)],[20915, 20914, 3592])).
% 9.09/6.60 tff(20917,plain,
% 9.09/6.60 ((~(v94(constB136) <=> (~((~v104(constB136)) | (~v95(constB136)))))) | v94(constB136) | ((~v104(constB136)) | (~v95(constB136)))),
% 9.09/6.60 inference(tautology,[status(thm)],[])).
% 9.09/6.60 tff(20918,plain,
% 9.09/6.60 (v94(constB136)),
% 9.09/6.60 inference(unit_resolution,[status(thm)],[20917, 20916, 3561])).
% 9.09/6.60 tff(20919,plain,
% 9.09/6.60 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB136)) | ![B: $i] : ((~less_3(B)) | (v84(constB136, B) <=> v123(constB136, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB136)) | ![B: $i] : ((~less_3(B)) | (v84(constB136, B) <=> v123(constB136, B))))),
% 9.09/6.60 inference(rewrite,[status(thm)],[])).
% 9.09/6.60 tff(20920,plain,
% 9.09/6.60 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB136)) | ![B: $i] : ((~less_3(B)) | (v84(constB136, B) <=> v123(constB136, B))))),
% 9.09/6.60 inference(quant_inst,[status(thm)],[])).
% 9.09/6.60 tff(20921,plain,
% 9.09/6.60 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB136)) | ![B: $i] : ((~less_3(B)) | (v84(constB136, B) <=> v123(constB136, B)))),
% 9.09/6.60 inference(modus_ponens,[status(thm)],[20920, 20919])).
% 9.09/6.60 tff(20922,plain,
% 9.09/6.60 ((~v94(constB136)) | ![B: $i] : ((~less_3(B)) | (v84(constB136, B) <=> v123(constB136, B)))),
% 9.09/6.60 inference(unit_resolution,[status(thm)],[20921, 9902])).
% 9.09/6.60 tff(20923,plain,
% 9.09/6.60 (![B: $i] : ((~less_3(B)) | (v84(constB136, B) <=> v123(constB136, B)))),
% 9.09/6.60 inference(unit_resolution,[status(thm)],[20922, 20918])).
% 9.09/6.60 tff(20924,plain,
% 9.09/6.60 (((~![B: $i] : ((~less_3(B)) | (v84(constB136, B) <=> v123(constB136, B)))) | ((~less_3(bitIndex2)) | (v84(constB136, bitIndex2) <=> v123(constB136, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB136, B) <=> v123(constB136, B)))) | (~less_3(bitIndex2)) | (v84(constB136, bitIndex2) <=> v123(constB136, bitIndex2)))),
% 9.09/6.60 inference(rewrite,[status(thm)],[])).
% 9.09/6.60 tff(20925,plain,
% 9.09/6.60 ((~![B: $i] : ((~less_3(B)) | (v84(constB136, B) <=> v123(constB136, B)))) | ((~less_3(bitIndex2)) | (v84(constB136, bitIndex2) <=> v123(constB136, bitIndex2)))),
% 9.09/6.60 inference(quant_inst,[status(thm)],[])).
% 9.09/6.60 tff(20926,plain,
% 9.09/6.60 ((~![B: $i] : ((~less_3(B)) | (v84(constB136, B) <=> v123(constB136, B)))) | (~less_3(bitIndex2)) | (v84(constB136, bitIndex2) <=> v123(constB136, bitIndex2))),
% 9.09/6.60 inference(modus_ponens,[status(thm)],[20925, 20924])).
% 9.09/6.60 tff(20927,plain,
% 9.09/6.60 (v84(constB136, bitIndex2) <=> v123(constB136, bitIndex2)),
% 9.09/6.60 inference(unit_resolution,[status(thm)],[20926, 832, 20923])).
% 9.09/6.60 tff(20928,plain,
% 9.09/6.60 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB135, constB136)) | ![B: $i] : ((~less_3(B)) | (v123(constB136, B) <=> v121(constB135, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB135, constB136)) | ![B: $i] : ((~less_3(B)) | (v123(constB136, B) <=> v121(constB135, B))))),
% 9.09/6.60 inference(rewrite,[status(thm)],[])).
% 9.09/6.60 tff(20929,plain,
% 9.09/6.60 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB135, constB136)) | ![B: $i] : ((~less_3(B)) | (v123(constB136, B) <=> v121(constB135, B))))),
% 9.09/6.60 inference(quant_inst,[status(thm)],[])).
% 9.09/6.60 tff(20930,plain,
% 9.09/6.60 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB135, constB136)) | ![B: $i] : ((~less_3(B)) | (v123(constB136, B) <=> v121(constB135, B)))),
% 9.09/6.60 inference(modus_ponens,[status(thm)],[20929, 20928])).
% 9.09/6.60 tff(20931,plain,
% 9.09/6.60 (![B: $i] : ((~less_3(B)) | (v123(constB136, B) <=> v121(constB135, B)))),
% 9.09/6.60 inference(unit_resolution,[status(thm)],[20930, 3557, 9924])).
% 9.09/6.60 tff(20932,plain,
% 9.09/6.60 (((~![B: $i] : ((~less_3(B)) | (v123(constB136, B) <=> v121(constB135, B)))) | ((~less_3(bitIndex2)) | (v123(constB136, bitIndex2) <=> v121(constB135, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB136, B) <=> v121(constB135, B)))) | (~less_3(bitIndex2)) | (v123(constB136, bitIndex2) <=> v121(constB135, bitIndex2)))),
% 9.09/6.61 inference(rewrite,[status(thm)],[])).
% 9.09/6.61 tff(20933,plain,
% 9.09/6.61 ((~![B: $i] : ((~less_3(B)) | (v123(constB136, B) <=> v121(constB135, B)))) | ((~less_3(bitIndex2)) | (v123(constB136, bitIndex2) <=> v121(constB135, bitIndex2)))),
% 9.09/6.61 inference(quant_inst,[status(thm)],[])).
% 9.09/6.61 tff(20934,plain,
% 9.09/6.61 ((~![B: $i] : ((~less_3(B)) | (v123(constB136, B) <=> v121(constB135, B)))) | (~less_3(bitIndex2)) | (v123(constB136, bitIndex2) <=> v121(constB135, bitIndex2))),
% 9.09/6.61 inference(modus_ponens,[status(thm)],[20933, 20932])).
% 9.09/6.61 tff(20935,plain,
% 9.09/6.61 (v123(constB136, bitIndex2) <=> v121(constB135, bitIndex2)),
% 9.09/6.61 inference(unit_resolution,[status(thm)],[20934, 832, 20931])).
% 9.09/6.61 tff(20936,plain,
% 9.09/6.61 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB135) | ![B: $i] : ((~less_3(B)) | (v121(constB135, B) <=> v124(constB135, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB135) | ![B: $i] : ((~less_3(B)) | (v121(constB135, B) <=> v124(constB135, B))))),
% 9.09/6.61 inference(rewrite,[status(thm)],[])).
% 9.09/6.61 tff(20937,plain,
% 9.09/6.61 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB135) | ![B: $i] : ((~less_3(B)) | (v121(constB135, B) <=> v124(constB135, B))))),
% 9.09/6.61 inference(quant_inst,[status(thm)],[])).
% 9.09/6.61 tff(20938,plain,
% 9.09/6.61 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB135) | ![B: $i] : ((~less_3(B)) | (v121(constB135, B) <=> v124(constB135, B)))),
% 9.09/6.61 inference(modus_ponens,[status(thm)],[20937, 20936])).
% 9.09/6.61 tff(20939,plain,
% 9.09/6.61 (![B: $i] : ((~less_3(B)) | (v121(constB135, B) <=> v124(constB135, B)))),
% 9.09/6.61 inference(unit_resolution,[status(thm)],[20938, 9945, 20900])).
% 9.09/6.61 tff(20940,plain,
% 9.09/6.61 (((~![B: $i] : ((~less_3(B)) | (v121(constB135, B) <=> v124(constB135, B)))) | ((~less_3(bitIndex2)) | (v121(constB135, bitIndex2) <=> v124(constB135, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB135, B) <=> v124(constB135, B)))) | (~less_3(bitIndex2)) | (v121(constB135, bitIndex2) <=> v124(constB135, bitIndex2)))),
% 9.09/6.61 inference(rewrite,[status(thm)],[])).
% 9.09/6.61 tff(20941,plain,
% 9.09/6.61 ((~![B: $i] : ((~less_3(B)) | (v121(constB135, B) <=> v124(constB135, B)))) | ((~less_3(bitIndex2)) | (v121(constB135, bitIndex2) <=> v124(constB135, bitIndex2)))),
% 9.09/6.61 inference(quant_inst,[status(thm)],[])).
% 9.09/6.61 tff(20942,plain,
% 9.09/6.61 ((~![B: $i] : ((~less_3(B)) | (v121(constB135, B) <=> v124(constB135, B)))) | (~less_3(bitIndex2)) | (v121(constB135, bitIndex2) <=> v124(constB135, bitIndex2))),
% 9.09/6.61 inference(modus_ponens,[status(thm)],[20941, 20940])).
% 9.09/6.61 tff(20943,plain,
% 9.09/6.61 (v121(constB135, bitIndex2) <=> v124(constB135, bitIndex2)),
% 9.09/6.61 inference(unit_resolution,[status(thm)],[20942, 832, 20939])).
% 9.09/6.61 tff(20944,plain,
% 9.09/6.61 (((~![VarCurr: $i] : ((~v114(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b010(B))))) | ((~v114(constB135)) | ![B: $i] : ((~less_3(B)) | (v124(constB135, B) <=> b010(B))))) <=> ((~![VarCurr: $i] : ((~v114(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b010(B))))) | (~v114(constB135)) | ![B: $i] : ((~less_3(B)) | (v124(constB135, B) <=> b010(B))))),
% 9.09/6.61 inference(rewrite,[status(thm)],[])).
% 9.09/6.61 tff(20945,plain,
% 9.09/6.61 ((~![VarCurr: $i] : ((~v114(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b010(B))))) | ((~v114(constB135)) | ![B: $i] : ((~less_3(B)) | (v124(constB135, B) <=> b010(B))))),
% 9.09/6.61 inference(quant_inst,[status(thm)],[])).
% 9.09/6.61 tff(20946,plain,
% 9.09/6.61 ((~![VarCurr: $i] : ((~v114(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b010(B))))) | (~v114(constB135)) | ![B: $i] : ((~less_3(B)) | (v124(constB135, B) <=> b010(B)))),
% 9.09/6.61 inference(modus_ponens,[status(thm)],[20945, 20944])).
% 9.09/6.61 tff(20947,plain,
% 9.09/6.61 ((~v114(constB135)) | ![B: $i] : ((~less_3(B)) | (v124(constB135, B) <=> b010(B)))),
% 9.09/6.61 inference(unit_resolution,[status(thm)],[20946, 10149])).
% 9.09/6.61 tff(20948,plain,
% 9.09/6.61 (![B: $i] : ((~less_3(B)) | (v124(constB135, B) <=> b010(B)))),
% 9.09/6.61 inference(unit_resolution,[status(thm)],[20947, 20867])).
% 9.09/6.61 tff(20949,plain,
% 9.09/6.61 (((~![B: $i] : ((~less_3(B)) | (v124(constB135, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v124(constB135, bitIndex2) <=> b010(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB135, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v124(constB135, bitIndex2) <=> b010(bitIndex2)))),
% 9.09/6.61 inference(rewrite,[status(thm)],[])).
% 9.09/6.61 tff(20950,plain,
% 9.09/6.61 ((~![B: $i] : ((~less_3(B)) | (v124(constB135, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v124(constB135, bitIndex2) <=> b010(bitIndex2)))),
% 9.09/6.61 inference(quant_inst,[status(thm)],[])).
% 9.09/6.61 tff(20951,plain,
% 9.09/6.61 ((~![B: $i] : ((~less_3(B)) | (v124(constB135, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v124(constB135, bitIndex2) <=> b010(bitIndex2))),
% 9.09/6.61 inference(modus_ponens,[status(thm)],[20950, 20949])).
% 9.09/6.61 tff(20952,plain,
% 9.09/6.61 (v124(constB135, bitIndex2) <=> b010(bitIndex2)),
% 9.09/6.61 inference(unit_resolution,[status(thm)],[20951, 832, 20948])).
% 9.09/6.61 tff(20953,plain,
% 9.09/6.61 ((~(v124(constB135, bitIndex2) <=> b010(bitIndex2))) | (~v124(constB135, bitIndex2)) | b010(bitIndex2)),
% 9.09/6.61 inference(tautology,[status(thm)],[])).
% 9.09/6.61 tff(20954,plain,
% 9.09/6.61 ((~(v124(constB135, bitIndex2) <=> b010(bitIndex2))) | (~v124(constB135, bitIndex2))),
% 9.09/6.61 inference(unit_resolution,[status(thm)],[20953, 10161])).
% 9.09/6.61 tff(20955,plain,
% 9.09/6.61 (~v124(constB135, bitIndex2)),
% 9.09/6.61 inference(unit_resolution,[status(thm)],[20954, 20952])).
% 9.09/6.61 tff(20956,plain,
% 9.09/6.61 ((~(v121(constB135, bitIndex2) <=> v124(constB135, bitIndex2))) | (~v121(constB135, bitIndex2)) | v124(constB135, bitIndex2)),
% 9.09/6.61 inference(tautology,[status(thm)],[])).
% 9.09/6.61 tff(20957,plain,
% 9.09/6.61 (~v121(constB135, bitIndex2)),
% 9.09/6.61 inference(unit_resolution,[status(thm)],[20956, 20955, 20943])).
% 9.09/6.61 tff(20958,plain,
% 9.09/6.61 ((~(v123(constB136, bitIndex2) <=> v121(constB135, bitIndex2))) | (~v123(constB136, bitIndex2)) | v121(constB135, bitIndex2)),
% 9.09/6.61 inference(tautology,[status(thm)],[])).
% 9.09/6.61 tff(20959,plain,
% 9.09/6.61 (~v123(constB136, bitIndex2)),
% 9.09/6.61 inference(unit_resolution,[status(thm)],[20958, 20957, 20935])).
% 9.09/6.61 tff(20960,plain,
% 9.09/6.61 ((~(v84(constB136, bitIndex2) <=> v123(constB136, bitIndex2))) | (~v84(constB136, bitIndex2)) | v123(constB136, bitIndex2)),
% 9.09/6.61 inference(tautology,[status(thm)],[])).
% 9.09/6.61 tff(20961,plain,
% 9.09/6.61 (~v84(constB136, bitIndex2)),
% 9.09/6.61 inference(unit_resolution,[status(thm)],[20960, 20959, 20927])).
% 9.09/6.61 tff(20962,plain,
% 9.09/6.61 ((~(v84(constB137, bitIndex2) <=> v84(constB136, bitIndex2))) | (~v84(constB137, bitIndex2)) | v84(constB136, bitIndex2)),
% 9.09/6.61 inference(tautology,[status(thm)],[])).
% 9.09/6.61 tff(20963,plain,
% 9.09/6.61 (~v84(constB137, bitIndex2)),
% 9.09/6.61 inference(unit_resolution,[status(thm)],[20962, 20961, 3554])).
% 9.09/6.61 tff(20964,plain,
% 9.09/6.61 (((~![B: $i] : ((~less_3(B)) | (v84(constB137, B) <=> v84(constB136, B)))) | ((~less_3(bitIndex0)) | (v84(constB137, bitIndex0) <=> v84(constB136, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB137, B) <=> v84(constB136, B)))) | (~less_3(bitIndex0)) | (v84(constB137, bitIndex0) <=> v84(constB136, bitIndex0)))),
% 9.09/6.61 inference(rewrite,[status(thm)],[])).
% 9.09/6.61 tff(20965,plain,
% 9.09/6.61 ((~![B: $i] : ((~less_3(B)) | (v84(constB137, B) <=> v84(constB136, B)))) | ((~less_3(bitIndex0)) | (v84(constB137, bitIndex0) <=> v84(constB136, bitIndex0)))),
% 9.09/6.61 inference(quant_inst,[status(thm)],[])).
% 9.09/6.61 tff(20966,plain,
% 9.09/6.61 ((~![B: $i] : ((~less_3(B)) | (v84(constB137, B) <=> v84(constB136, B)))) | (~less_3(bitIndex0)) | (v84(constB137, bitIndex0) <=> v84(constB136, bitIndex0))),
% 9.09/6.61 inference(modus_ponens,[status(thm)],[20965, 20964])).
% 9.09/6.61 tff(20967,plain,
% 9.09/6.61 (v84(constB137, bitIndex0) <=> v84(constB136, bitIndex0)),
% 9.09/6.61 inference(unit_resolution,[status(thm)],[20966, 9772, 3550])).
% 9.09/6.61 tff(20968,plain,
% 9.09/6.61 (((~![B: $i] : ((~less_3(B)) | (v84(constB136, B) <=> v123(constB136, B)))) | ((~less_3(bitIndex0)) | (v84(constB136, bitIndex0) <=> v123(constB136, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB136, B) <=> v123(constB136, B)))) | (~less_3(bitIndex0)) | (v84(constB136, bitIndex0) <=> v123(constB136, bitIndex0)))),
% 9.09/6.61 inference(rewrite,[status(thm)],[])).
% 9.09/6.61 tff(20969,plain,
% 9.09/6.61 ((~![B: $i] : ((~less_3(B)) | (v84(constB136, B) <=> v123(constB136, B)))) | ((~less_3(bitIndex0)) | (v84(constB136, bitIndex0) <=> v123(constB136, bitIndex0)))),
% 9.09/6.61 inference(quant_inst,[status(thm)],[])).
% 9.09/6.61 tff(20970,plain,
% 9.09/6.61 ((~![B: $i] : ((~less_3(B)) | (v84(constB136, B) <=> v123(constB136, B)))) | (~less_3(bitIndex0)) | (v84(constB136, bitIndex0) <=> v123(constB136, bitIndex0))),
% 9.09/6.61 inference(modus_ponens,[status(thm)],[20969, 20968])).
% 9.09/6.61 tff(20971,plain,
% 9.09/6.61 (v84(constB136, bitIndex0) <=> v123(constB136, bitIndex0)),
% 9.09/6.61 inference(unit_resolution,[status(thm)],[20970, 9772, 20923])).
% 9.09/6.61 tff(20972,plain,
% 9.09/6.61 (((~![B: $i] : ((~less_3(B)) | (v123(constB136, B) <=> v121(constB135, B)))) | ((~less_3(bitIndex0)) | (v123(constB136, bitIndex0) <=> v121(constB135, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB136, B) <=> v121(constB135, B)))) | (~less_3(bitIndex0)) | (v123(constB136, bitIndex0) <=> v121(constB135, bitIndex0)))),
% 9.09/6.61 inference(rewrite,[status(thm)],[])).
% 9.09/6.61 tff(20973,plain,
% 9.09/6.61 ((~![B: $i] : ((~less_3(B)) | (v123(constB136, B) <=> v121(constB135, B)))) | ((~less_3(bitIndex0)) | (v123(constB136, bitIndex0) <=> v121(constB135, bitIndex0)))),
% 9.09/6.61 inference(quant_inst,[status(thm)],[])).
% 9.09/6.61 tff(20974,plain,
% 9.09/6.61 ((~![B: $i] : ((~less_3(B)) | (v123(constB136, B) <=> v121(constB135, B)))) | (~less_3(bitIndex0)) | (v123(constB136, bitIndex0) <=> v121(constB135, bitIndex0))),
% 9.09/6.61 inference(modus_ponens,[status(thm)],[20973, 20972])).
% 9.09/6.61 tff(20975,plain,
% 9.09/6.61 (v123(constB136, bitIndex0) <=> v121(constB135, bitIndex0)),
% 9.09/6.61 inference(unit_resolution,[status(thm)],[20974, 9772, 20931])).
% 9.09/6.61 tff(20976,plain,
% 9.09/6.61 (((~![B: $i] : ((~less_3(B)) | (v121(constB135, B) <=> v124(constB135, B)))) | ((~less_3(bitIndex0)) | (v121(constB135, bitIndex0) <=> v124(constB135, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB135, B) <=> v124(constB135, B)))) | (~less_3(bitIndex0)) | (v121(constB135, bitIndex0) <=> v124(constB135, bitIndex0)))),
% 9.09/6.61 inference(rewrite,[status(thm)],[])).
% 9.09/6.61 tff(20977,plain,
% 9.09/6.61 ((~![B: $i] : ((~less_3(B)) | (v121(constB135, B) <=> v124(constB135, B)))) | ((~less_3(bitIndex0)) | (v121(constB135, bitIndex0) <=> v124(constB135, bitIndex0)))),
% 9.09/6.61 inference(quant_inst,[status(thm)],[])).
% 9.09/6.61 tff(20978,plain,
% 9.09/6.61 ((~![B: $i] : ((~less_3(B)) | (v121(constB135, B) <=> v124(constB135, B)))) | (~less_3(bitIndex0)) | (v121(constB135, bitIndex0) <=> v124(constB135, bitIndex0))),
% 9.09/6.61 inference(modus_ponens,[status(thm)],[20977, 20976])).
% 9.09/6.61 tff(20979,plain,
% 9.09/6.61 (v121(constB135, bitIndex0) <=> v124(constB135, bitIndex0)),
% 9.09/6.61 inference(unit_resolution,[status(thm)],[20978, 9772, 20939])).
% 9.09/6.61 tff(20980,plain,
% 9.09/6.61 (((~![B: $i] : ((~less_3(B)) | (v124(constB135, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v124(constB135, bitIndex0) <=> b010(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB135, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v124(constB135, bitIndex0) <=> b010(bitIndex0)))),
% 9.09/6.61 inference(rewrite,[status(thm)],[])).
% 9.09/6.61 tff(20981,plain,
% 9.09/6.61 ((~![B: $i] : ((~less_3(B)) | (v124(constB135, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v124(constB135, bitIndex0) <=> b010(bitIndex0)))),
% 9.09/6.61 inference(quant_inst,[status(thm)],[])).
% 9.09/6.61 tff(20982,plain,
% 9.09/6.61 ((~![B: $i] : ((~less_3(B)) | (v124(constB135, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v124(constB135, bitIndex0) <=> b010(bitIndex0))),
% 9.09/6.61 inference(modus_ponens,[status(thm)],[20981, 20980])).
% 9.09/6.61 tff(20983,plain,
% 9.09/6.61 (v124(constB135, bitIndex0) <=> b010(bitIndex0)),
% 9.09/6.61 inference(unit_resolution,[status(thm)],[20982, 9772, 20948])).
% 9.09/6.61 tff(20984,plain,
% 9.09/6.61 ((~(v124(constB135, bitIndex0) <=> b010(bitIndex0))) | (~v124(constB135, bitIndex0)) | b010(bitIndex0)),
% 9.09/6.61 inference(tautology,[status(thm)],[])).
% 9.09/6.61 tff(20985,plain,
% 9.09/6.61 ((~(v124(constB135, bitIndex0) <=> b010(bitIndex0))) | (~v124(constB135, bitIndex0))),
% 9.09/6.61 inference(unit_resolution,[status(thm)],[20984, 10195])).
% 9.09/6.61 tff(20986,plain,
% 9.09/6.61 (~v124(constB135, bitIndex0)),
% 9.09/6.61 inference(unit_resolution,[status(thm)],[20985, 20983])).
% 9.09/6.61 tff(20987,plain,
% 9.09/6.61 ((~(v121(constB135, bitIndex0) <=> v124(constB135, bitIndex0))) | (~v121(constB135, bitIndex0)) | v124(constB135, bitIndex0)),
% 9.09/6.61 inference(tautology,[status(thm)],[])).
% 9.09/6.61 tff(20988,plain,
% 9.09/6.61 (~v121(constB135, bitIndex0)),
% 9.09/6.61 inference(unit_resolution,[status(thm)],[20987, 20986, 20979])).
% 9.09/6.61 tff(20989,plain,
% 9.09/6.61 ((~(v123(constB136, bitIndex0) <=> v121(constB135, bitIndex0))) | (~v123(constB136, bitIndex0)) | v121(constB135, bitIndex0)),
% 9.09/6.61 inference(tautology,[status(thm)],[])).
% 9.09/6.61 tff(20990,plain,
% 9.09/6.61 (~v123(constB136, bitIndex0)),
% 9.09/6.61 inference(unit_resolution,[status(thm)],[20989, 20988, 20975])).
% 9.09/6.61 tff(20991,plain,
% 9.09/6.61 ((~(v84(constB136, bitIndex0) <=> v123(constB136, bitIndex0))) | (~v84(constB136, bitIndex0)) | v123(constB136, bitIndex0)),
% 9.09/6.61 inference(tautology,[status(thm)],[])).
% 9.09/6.61 tff(20992,plain,
% 9.09/6.61 (~v84(constB136, bitIndex0)),
% 9.09/6.61 inference(unit_resolution,[status(thm)],[20991, 20990, 20971])).
% 9.09/6.61 tff(20993,plain,
% 9.09/6.61 ((~(v84(constB137, bitIndex0) <=> v84(constB136, bitIndex0))) | (~v84(constB137, bitIndex0)) | v84(constB136, bitIndex0)),
% 9.09/6.61 inference(tautology,[status(thm)],[])).
% 9.09/6.61 tff(20994,plain,
% 9.09/6.61 (~v84(constB137, bitIndex0)),
% 9.09/6.61 inference(unit_resolution,[status(thm)],[20993, 20992, 20967])).
% 9.09/6.61 tff(20995,plain,
% 9.09/6.61 (((~![B: $i] : ((~less_3(B)) | (v84(constB137, B) <=> v84(constB136, B)))) | ((~less_3(bitIndex1)) | (v84(constB137, bitIndex1) <=> v84(constB136, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB137, B) <=> v84(constB136, B)))) | (~less_3(bitIndex1)) | (v84(constB137, bitIndex1) <=> v84(constB136, bitIndex1)))),
% 9.09/6.61 inference(rewrite,[status(thm)],[])).
% 9.09/6.61 tff(20996,plain,
% 9.09/6.61 ((~![B: $i] : ((~less_3(B)) | (v84(constB137, B) <=> v84(constB136, B)))) | ((~less_3(bitIndex1)) | (v84(constB137, bitIndex1) <=> v84(constB136, bitIndex1)))),
% 9.09/6.61 inference(quant_inst,[status(thm)],[])).
% 9.09/6.61 tff(20997,plain,
% 9.09/6.61 ((~![B: $i] : ((~less_3(B)) | (v84(constB137, B) <=> v84(constB136, B)))) | (~less_3(bitIndex1)) | (v84(constB137, bitIndex1) <=> v84(constB136, bitIndex1))),
% 9.09/6.61 inference(modus_ponens,[status(thm)],[20996, 20995])).
% 9.09/6.61 tff(20998,plain,
% 9.09/6.61 (v84(constB137, bitIndex1) <=> v84(constB136, bitIndex1)),
% 9.09/6.61 inference(unit_resolution,[status(thm)],[20997, 9785, 3550])).
% 9.09/6.61 tff(20999,plain,
% 9.09/6.61 (((~![B: $i] : ((~less_3(B)) | (v84(constB136, B) <=> v123(constB136, B)))) | ((~less_3(bitIndex1)) | (v84(constB136, bitIndex1) <=> v123(constB136, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB136, B) <=> v123(constB136, B)))) | (~less_3(bitIndex1)) | (v84(constB136, bitIndex1) <=> v123(constB136, bitIndex1)))),
% 9.09/6.61 inference(rewrite,[status(thm)],[])).
% 9.09/6.61 tff(21000,plain,
% 9.09/6.61 ((~![B: $i] : ((~less_3(B)) | (v84(constB136, B) <=> v123(constB136, B)))) | ((~less_3(bitIndex1)) | (v84(constB136, bitIndex1) <=> v123(constB136, bitIndex1)))),
% 9.09/6.61 inference(quant_inst,[status(thm)],[])).
% 9.09/6.61 tff(21001,plain,
% 9.09/6.61 ((~![B: $i] : ((~less_3(B)) | (v84(constB136, B) <=> v123(constB136, B)))) | (~less_3(bitIndex1)) | (v84(constB136, bitIndex1) <=> v123(constB136, bitIndex1))),
% 9.09/6.61 inference(modus_ponens,[status(thm)],[21000, 20999])).
% 9.09/6.61 tff(21002,plain,
% 9.09/6.61 (v84(constB136, bitIndex1) <=> v123(constB136, bitIndex1)),
% 9.09/6.61 inference(unit_resolution,[status(thm)],[21001, 9785, 20923])).
% 9.09/6.61 tff(21003,plain,
% 9.09/6.61 (((~![B: $i] : ((~less_3(B)) | (v123(constB136, B) <=> v121(constB135, B)))) | ((~less_3(bitIndex1)) | (v123(constB136, bitIndex1) <=> v121(constB135, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB136, B) <=> v121(constB135, B)))) | (~less_3(bitIndex1)) | (v123(constB136, bitIndex1) <=> v121(constB135, bitIndex1)))),
% 9.09/6.61 inference(rewrite,[status(thm)],[])).
% 9.09/6.61 tff(21004,plain,
% 9.09/6.61 ((~![B: $i] : ((~less_3(B)) | (v123(constB136, B) <=> v121(constB135, B)))) | ((~less_3(bitIndex1)) | (v123(constB136, bitIndex1) <=> v121(constB135, bitIndex1)))),
% 9.09/6.61 inference(quant_inst,[status(thm)],[])).
% 9.09/6.61 tff(21005,plain,
% 9.09/6.61 ((~![B: $i] : ((~less_3(B)) | (v123(constB136, B) <=> v121(constB135, B)))) | (~less_3(bitIndex1)) | (v123(constB136, bitIndex1) <=> v121(constB135, bitIndex1))),
% 9.09/6.61 inference(modus_ponens,[status(thm)],[21004, 21003])).
% 9.09/6.61 tff(21006,plain,
% 9.09/6.61 (v123(constB136, bitIndex1) <=> v121(constB135, bitIndex1)),
% 9.09/6.61 inference(unit_resolution,[status(thm)],[21005, 9785, 20931])).
% 9.09/6.61 tff(21007,plain,
% 9.09/6.61 (((~![B: $i] : ((~less_3(B)) | (v121(constB135, B) <=> v124(constB135, B)))) | ((~less_3(bitIndex1)) | (v121(constB135, bitIndex1) <=> v124(constB135, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB135, B) <=> v124(constB135, B)))) | (~less_3(bitIndex1)) | (v121(constB135, bitIndex1) <=> v124(constB135, bitIndex1)))),
% 9.09/6.61 inference(rewrite,[status(thm)],[])).
% 9.09/6.61 tff(21008,plain,
% 9.09/6.61 ((~![B: $i] : ((~less_3(B)) | (v121(constB135, B) <=> v124(constB135, B)))) | ((~less_3(bitIndex1)) | (v121(constB135, bitIndex1) <=> v124(constB135, bitIndex1)))),
% 9.09/6.61 inference(quant_inst,[status(thm)],[])).
% 9.09/6.61 tff(21009,plain,
% 9.09/6.61 ((~![B: $i] : ((~less_3(B)) | (v121(constB135, B) <=> v124(constB135, B)))) | (~less_3(bitIndex1)) | (v121(constB135, bitIndex1) <=> v124(constB135, bitIndex1))),
% 9.09/6.61 inference(modus_ponens,[status(thm)],[21008, 21007])).
% 9.09/6.61 tff(21010,plain,
% 9.09/6.61 (v121(constB135, bitIndex1) <=> v124(constB135, bitIndex1)),
% 9.09/6.61 inference(unit_resolution,[status(thm)],[21009, 9785, 20939])).
% 9.09/6.61 tff(21011,plain,
% 9.09/6.61 (((~![B: $i] : ((~less_3(B)) | (v124(constB135, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v124(constB135, bitIndex1) <=> b010(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB135, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v124(constB135, bitIndex1) <=> b010(bitIndex1)))),
% 9.09/6.61 inference(rewrite,[status(thm)],[])).
% 9.09/6.61 tff(21012,plain,
% 9.09/6.61 ((~![B: $i] : ((~less_3(B)) | (v124(constB135, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v124(constB135, bitIndex1) <=> b010(bitIndex1)))),
% 9.09/6.61 inference(quant_inst,[status(thm)],[])).
% 9.09/6.61 tff(21013,plain,
% 9.09/6.61 ((~![B: $i] : ((~less_3(B)) | (v124(constB135, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v124(constB135, bitIndex1) <=> b010(bitIndex1))),
% 9.09/6.61 inference(modus_ponens,[status(thm)],[21012, 21011])).
% 9.09/6.61 tff(21014,plain,
% 9.09/6.61 (v124(constB135, bitIndex1) <=> b010(bitIndex1)),
% 9.09/6.61 inference(unit_resolution,[status(thm)],[21013, 9785, 20948])).
% 9.09/6.61 tff(21015,plain,
% 9.09/6.61 ((~(v124(constB135, bitIndex1) <=> b010(bitIndex1))) | v124(constB135, bitIndex1) | (~b010(bitIndex1))),
% 9.09/6.61 inference(tautology,[status(thm)],[])).
% 9.09/6.61 tff(21016,plain,
% 9.09/6.61 ((~(v124(constB135, bitIndex1) <=> b010(bitIndex1))) | v124(constB135, bitIndex1)),
% 9.09/6.61 inference(unit_resolution,[status(thm)],[21015, 10229])).
% 9.09/6.61 tff(21017,plain,
% 9.09/6.61 (v124(constB135, bitIndex1)),
% 9.09/6.61 inference(unit_resolution,[status(thm)],[21016, 21014])).
% 9.09/6.61 tff(21018,plain,
% 9.09/6.61 ((~(v121(constB135, bitIndex1) <=> v124(constB135, bitIndex1))) | v121(constB135, bitIndex1) | (~v124(constB135, bitIndex1))),
% 9.09/6.61 inference(tautology,[status(thm)],[])).
% 9.09/6.61 tff(21019,plain,
% 9.09/6.61 (v121(constB135, bitIndex1)),
% 9.09/6.61 inference(unit_resolution,[status(thm)],[21018, 21017, 21010])).
% 9.09/6.61 tff(21020,plain,
% 9.09/6.61 ((~(v123(constB136, bitIndex1) <=> v121(constB135, bitIndex1))) | v123(constB136, bitIndex1) | (~v121(constB135, bitIndex1))),
% 9.09/6.61 inference(tautology,[status(thm)],[])).
% 9.09/6.61 tff(21021,plain,
% 9.09/6.61 (v123(constB136, bitIndex1)),
% 9.09/6.61 inference(unit_resolution,[status(thm)],[21020, 21019, 21006])).
% 9.09/6.61 tff(21022,plain,
% 9.09/6.61 ((~(v84(constB136, bitIndex1) <=> v123(constB136, bitIndex1))) | v84(constB136, bitIndex1) | (~v123(constB136, bitIndex1))),
% 9.09/6.61 inference(tautology,[status(thm)],[])).
% 9.09/6.61 tff(21023,plain,
% 9.09/6.61 (v84(constB136, bitIndex1)),
% 9.09/6.61 inference(unit_resolution,[status(thm)],[21022, 21021, 21002])).
% 9.09/6.61 tff(21024,plain,
% 9.09/6.61 ((~(v84(constB137, bitIndex1) <=> v84(constB136, bitIndex1))) | v84(constB137, bitIndex1) | (~v84(constB136, bitIndex1))),
% 9.09/6.61 inference(tautology,[status(thm)],[])).
% 9.09/6.61 tff(21025,plain,
% 9.09/6.61 (v84(constB137, bitIndex1)),
% 9.09/6.61 inference(unit_resolution,[status(thm)],[21024, 21023, 20998])).
% 9.09/6.61 tff(21026,plain,
% 9.09/6.61 ((~(v84(constB137, bitIndex2) | (~v84(constB137, bitIndex1)) | v84(constB137, bitIndex0))) | v84(constB137, bitIndex2) | (~v84(constB137, bitIndex1)) | v84(constB137, bitIndex0)),
% 9.09/6.61 inference(tautology,[status(thm)],[])).
% 9.09/6.61 tff(21027,plain,
% 9.09/6.61 (~(v84(constB137, bitIndex2) | (~v84(constB137, bitIndex1)) | v84(constB137, bitIndex0))),
% 9.09/6.61 inference(unit_resolution,[status(thm)],[21026, 21025, 20994, 20963])).
% 9.09/6.61 tff(21028,plain,
% 9.09/6.61 ((~(v115(constB137) <=> (~(v84(constB137, bitIndex2) | (~v84(constB137, bitIndex1)) | v84(constB137, bitIndex0))))) | v115(constB137) | (v84(constB137, bitIndex2) | (~v84(constB137, bitIndex1)) | v84(constB137, bitIndex0))),
% 9.09/6.61 inference(tautology,[status(thm)],[])).
% 9.09/6.61 tff(21029,plain,
% 9.09/6.61 (v115(constB137)),
% 9.09/6.61 inference(unit_resolution,[status(thm)],[21028, 21027, 3522])).
% 9.09/6.61 tff(21030,plain,
% 9.09/6.61 ((v112(constB137) | v115(constB137)) | (~v115(constB137))),
% 9.09/6.61 inference(tautology,[status(thm)],[])).
% 9.09/6.61 tff(21031,plain,
% 9.09/6.61 (v112(constB137) | v115(constB137)),
% 9.09/6.61 inference(unit_resolution,[status(thm)],[21030, 21029])).
% 9.09/6.61 tff(21032,plain,
% 9.09/6.61 ((~(v111(constB137) <=> (v112(constB137) | v115(constB137)))) | v111(constB137) | (~(v112(constB137) | v115(constB137)))),
% 9.09/6.61 inference(tautology,[status(thm)],[])).
% 9.09/6.61 tff(21033,plain,
% 9.09/6.61 (v111(constB137)),
% 9.09/6.61 inference(unit_resolution,[status(thm)],[21032, 21031, 3515])).
% 9.09/6.61 tff(21034,plain,
% 9.09/6.61 ((v111(constB137) | v116(constB137)) | (~v111(constB137))),
% 9.09/6.61 inference(tautology,[status(thm)],[])).
% 9.09/6.61 tff(21035,plain,
% 9.09/6.61 (v111(constB137) | v116(constB137)),
% 9.09/6.61 inference(unit_resolution,[status(thm)],[21034, 21033])).
% 9.09/6.61 tff(21036,plain,
% 9.09/6.61 ((~(v110(constB137) <=> (v111(constB137) | v116(constB137)))) | v110(constB137) | (~(v111(constB137) | v116(constB137)))),
% 9.09/6.61 inference(tautology,[status(thm)],[])).
% 9.09/6.61 tff(21037,plain,
% 9.09/6.61 (v110(constB137)),
% 9.09/6.61 inference(unit_resolution,[status(thm)],[21036, 21035, 3513])).
% 9.09/6.61 tff(21038,plain,
% 9.09/6.61 ((v110(constB137) | v117(constB137)) | (~v110(constB137))),
% 9.09/6.61 inference(tautology,[status(thm)],[])).
% 9.09/6.61 tff(21039,plain,
% 9.09/6.61 (v110(constB137) | v117(constB137)),
% 9.09/6.61 inference(unit_resolution,[status(thm)],[21038, 21037])).
% 9.09/6.61 tff(21040,plain,
% 9.09/6.61 ((~(v109(constB137) <=> (v110(constB137) | v117(constB137)))) | v109(constB137) | (~(v110(constB137) | v117(constB137)))),
% 9.09/6.61 inference(tautology,[status(thm)],[])).
% 9.09/6.61 tff(21041,plain,
% 9.09/6.61 (v109(constB137)),
% 9.09/6.61 inference(unit_resolution,[status(thm)],[21040, 21039, 3511])).
% 9.09/6.61 tff(21042,plain,
% 9.09/6.61 ((v109(constB137) | v118(constB137)) | (~v109(constB137))),
% 9.09/6.61 inference(tautology,[status(thm)],[])).
% 9.09/6.61 tff(21043,plain,
% 9.09/6.61 (v109(constB137) | v118(constB137)),
% 9.09/6.61 inference(unit_resolution,[status(thm)],[21042, 21041])).
% 9.09/6.61 tff(21044,plain,
% 9.09/6.61 ((~(v108(constB137) <=> (v109(constB137) | v118(constB137)))) | v108(constB137) | (~(v109(constB137) | v118(constB137)))),
% 9.09/6.61 inference(tautology,[status(thm)],[])).
% 9.09/6.61 tff(21045,plain,
% 9.09/6.61 (v108(constB137)),
% 9.09/6.61 inference(unit_resolution,[status(thm)],[21044, 21043, 3509])).
% 9.09/6.61 tff(21046,plain,
% 9.09/6.61 ((v108(constB137) | v119(constB137)) | (~v108(constB137))),
% 9.09/6.61 inference(tautology,[status(thm)],[])).
% 9.09/6.61 tff(21047,plain,
% 9.09/6.61 (v108(constB137) | v119(constB137)),
% 9.09/6.61 inference(unit_resolution,[status(thm)],[21046, 21045])).
% 9.09/6.61 tff(21048,plain,
% 9.09/6.61 ((~(v107(constB137) <=> (v108(constB137) | v119(constB137)))) | v107(constB137) | (~(v108(constB137) | v119(constB137)))),
% 9.09/6.61 inference(tautology,[status(thm)],[])).
% 9.09/6.61 tff(21049,plain,
% 9.09/6.61 (v107(constB137)),
% 9.09/6.61 inference(unit_resolution,[status(thm)],[21048, 21047, 3507])).
% 9.09/6.61 tff(21050,plain,
% 9.09/6.61 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB137)) <=> v105(constB137))),
% 9.09/6.61 inference(quant_inst,[status(thm)],[])).
% 9.09/6.61 tff(21051,plain,
% 9.09/6.61 ((~v120(constB137)) <=> v105(constB137)),
% 9.09/6.61 inference(unit_resolution,[status(thm)],[21050, 9842])).
% 9.09/6.61 tff(21052,plain,
% 9.09/6.61 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB137) <=> v26(constB137))),
% 9.09/6.61 inference(quant_inst,[status(thm)],[])).
% 9.09/6.61 tff(21053,plain,
% 9.09/6.61 (v105(constB137) <=> v26(constB137)),
% 9.09/6.61 inference(unit_resolution,[status(thm)],[21052, 9854])).
% 9.09/6.61 tff(21054,plain,
% 9.09/6.61 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB137))),
% 9.09/6.61 inference(quant_inst,[status(thm)],[])).
% 9.09/6.61 tff(21055,plain,
% 9.09/6.61 (~v26(constB137)),
% 9.09/6.61 inference(unit_resolution,[status(thm)],[21054, 9866])).
% 9.09/6.61 tff(21056,plain,
% 9.09/6.61 ((~(v105(constB137) <=> v26(constB137))) | (~v105(constB137)) | v26(constB137)),
% 9.09/6.61 inference(tautology,[status(thm)],[])).
% 9.09/6.61 tff(21057,plain,
% 9.09/6.61 ((~(v105(constB137) <=> v26(constB137))) | (~v105(constB137))),
% 9.09/6.61 inference(unit_resolution,[status(thm)],[21056, 21055])).
% 9.09/6.61 tff(21058,plain,
% 9.09/6.61 (~v105(constB137)),
% 9.09/6.61 inference(unit_resolution,[status(thm)],[21057, 21053])).
% 9.09/6.61 tff(21059,plain,
% 9.09/6.61 ((~((~v120(constB137)) <=> v105(constB137))) | v120(constB137) | v105(constB137)),
% 9.09/6.61 inference(tautology,[status(thm)],[])).
% 9.09/6.61 tff(21060,plain,
% 9.09/6.61 ((~((~v120(constB137)) <=> v105(constB137))) | v120(constB137)),
% 9.09/6.61 inference(unit_resolution,[status(thm)],[21059, 21058])).
% 9.09/6.61 tff(21061,plain,
% 9.09/6.61 (v120(constB137)),
% 9.09/6.61 inference(unit_resolution,[status(thm)],[21060, 21051])).
% 9.09/6.61 tff(21062,plain,
% 9.09/6.61 ((~((~v107(constB137)) | (~v120(constB137)))) | (~v107(constB137)) | (~v120(constB137))),
% 9.09/6.61 inference(tautology,[status(thm)],[])).
% 9.09/6.61 tff(21063,plain,
% 9.09/6.61 ((~((~v107(constB137)) | (~v120(constB137)))) | (~v107(constB137))),
% 9.09/6.61 inference(unit_resolution,[status(thm)],[21062, 21061])).
% 9.09/6.61 tff(21064,plain,
% 9.09/6.61 (~((~v107(constB137)) | (~v120(constB137)))),
% 9.09/6.61 inference(unit_resolution,[status(thm)],[21063, 21049])).
% 9.09/6.61 tff(21065,plain,
% 9.09/6.61 ((~(v106(constB137) <=> (~((~v107(constB137)) | (~v120(constB137)))))) | v106(constB137) | ((~v107(constB137)) | (~v120(constB137)))),
% 9.09/6.61 inference(tautology,[status(thm)],[])).
% 9.09/6.61 tff(21066,plain,
% 9.09/6.61 (v106(constB137)),
% 9.09/6.61 inference(unit_resolution,[status(thm)],[21065, 21064, 3505])).
% 9.09/6.61 tff(21067,plain,
% 9.09/6.61 ((v105(constB137) | v106(constB137)) | (~v106(constB137))),
% 9.09/6.61 inference(tautology,[status(thm)],[])).
% 9.09/6.61 tff(21068,plain,
% 9.09/6.61 (v105(constB137) | v106(constB137)),
% 9.09/6.61 inference(unit_resolution,[status(thm)],[21067, 21066])).
% 9.09/6.61 tff(21069,plain,
% 9.09/6.61 ((~(v102(constB137) <=> (v105(constB137) | v106(constB137)))) | v102(constB137) | (~(v105(constB137) | v106(constB137)))),
% 9.09/6.61 inference(tautology,[status(thm)],[])).
% 9.09/6.61 tff(21070,plain,
% 9.09/6.61 (v102(constB137)),
% 9.09/6.61 inference(unit_resolution,[status(thm)],[21069, 21068, 3503])).
% 9.09/6.61 tff(21071,plain,
% 9.09/6.61 ((~(v104(constB138) <=> v102(constB137))) | v104(constB138) | (~v102(constB137))),
% 9.09/6.61 inference(tautology,[status(thm)],[])).
% 9.09/6.61 tff(21072,plain,
% 9.09/6.61 (v104(constB138)),
% 9.09/6.61 inference(unit_resolution,[status(thm)],[21071, 21070, 3501])).
% 9.09/6.61 tff(21073,plain,
% 9.09/6.61 ((~((~v104(constB138)) | (~v95(constB138)))) | (~v104(constB138)) | (~v95(constB138))),
% 9.09/6.61 inference(tautology,[status(thm)],[])).
% 9.09/6.61 tff(21074,plain,
% 9.09/6.61 (~((~v104(constB138)) | (~v95(constB138)))),
% 9.09/6.61 inference(unit_resolution,[status(thm)],[21073, 21072, 3497])).
% 9.09/6.61 tff(21075,plain,
% 9.09/6.61 ((~(v94(constB138) <=> (~((~v104(constB138)) | (~v95(constB138)))))) | v94(constB138) | ((~v104(constB138)) | (~v95(constB138)))),
% 9.09/6.61 inference(tautology,[status(thm)],[])).
% 9.09/6.61 tff(21076,plain,
% 9.09/6.61 (v94(constB138)),
% 9.09/6.61 inference(unit_resolution,[status(thm)],[21075, 21074, 3466])).
% 9.09/6.61 tff(21077,plain,
% 9.09/6.61 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB138)) | ![B: $i] : ((~less_3(B)) | (v84(constB138, B) <=> v123(constB138, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB138)) | ![B: $i] : ((~less_3(B)) | (v84(constB138, B) <=> v123(constB138, B))))),
% 9.09/6.61 inference(rewrite,[status(thm)],[])).
% 9.09/6.61 tff(21078,plain,
% 9.09/6.61 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB138)) | ![B: $i] : ((~less_3(B)) | (v84(constB138, B) <=> v123(constB138, B))))),
% 9.09/6.61 inference(quant_inst,[status(thm)],[])).
% 9.09/6.61 tff(21079,plain,
% 9.09/6.61 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB138)) | ![B: $i] : ((~less_3(B)) | (v84(constB138, B) <=> v123(constB138, B)))),
% 9.09/6.61 inference(modus_ponens,[status(thm)],[21078, 21077])).
% 9.09/6.61 tff(21080,plain,
% 9.09/6.61 ((~v94(constB138)) | ![B: $i] : ((~less_3(B)) | (v84(constB138, B) <=> v123(constB138, B)))),
% 9.09/6.61 inference(unit_resolution,[status(thm)],[21079, 9902])).
% 9.09/6.61 tff(21081,plain,
% 9.09/6.61 (![B: $i] : ((~less_3(B)) | (v84(constB138, B) <=> v123(constB138, B)))),
% 9.09/6.61 inference(unit_resolution,[status(thm)],[21080, 21076])).
% 9.09/6.61 tff(21082,plain,
% 9.09/6.61 (((~![B: $i] : ((~less_3(B)) | (v84(constB138, B) <=> v123(constB138, B)))) | ((~less_3(bitIndex2)) | (v84(constB138, bitIndex2) <=> v123(constB138, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB138, B) <=> v123(constB138, B)))) | (~less_3(bitIndex2)) | (v84(constB138, bitIndex2) <=> v123(constB138, bitIndex2)))),
% 9.09/6.61 inference(rewrite,[status(thm)],[])).
% 9.09/6.61 tff(21083,plain,
% 9.09/6.61 ((~![B: $i] : ((~less_3(B)) | (v84(constB138, B) <=> v123(constB138, B)))) | ((~less_3(bitIndex2)) | (v84(constB138, bitIndex2) <=> v123(constB138, bitIndex2)))),
% 9.09/6.61 inference(quant_inst,[status(thm)],[])).
% 9.09/6.61 tff(21084,plain,
% 9.09/6.61 ((~![B: $i] : ((~less_3(B)) | (v84(constB138, B) <=> v123(constB138, B)))) | (~less_3(bitIndex2)) | (v84(constB138, bitIndex2) <=> v123(constB138, bitIndex2))),
% 9.09/6.61 inference(modus_ponens,[status(thm)],[21083, 21082])).
% 9.09/6.61 tff(21085,plain,
% 9.09/6.61 (v84(constB138, bitIndex2) <=> v123(constB138, bitIndex2)),
% 9.09/6.61 inference(unit_resolution,[status(thm)],[21084, 832, 21081])).
% 9.09/6.61 tff(21086,plain,
% 9.09/6.61 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB137, constB138)) | ![B: $i] : ((~less_3(B)) | (v123(constB138, B) <=> v121(constB137, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB137, constB138)) | ![B: $i] : ((~less_3(B)) | (v123(constB138, B) <=> v121(constB137, B))))),
% 9.09/6.61 inference(rewrite,[status(thm)],[])).
% 9.09/6.61 tff(21087,plain,
% 9.09/6.61 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB137, constB138)) | ![B: $i] : ((~less_3(B)) | (v123(constB138, B) <=> v121(constB137, B))))),
% 9.09/6.61 inference(quant_inst,[status(thm)],[])).
% 9.09/6.61 tff(21088,plain,
% 9.09/6.61 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB137, constB138)) | ![B: $i] : ((~less_3(B)) | (v123(constB138, B) <=> v121(constB137, B)))),
% 9.09/6.61 inference(modus_ponens,[status(thm)],[21087, 21086])).
% 9.09/6.61 tff(21089,plain,
% 9.09/6.61 (![B: $i] : ((~less_3(B)) | (v123(constB138, B) <=> v121(constB137, B)))),
% 9.09/6.61 inference(unit_resolution,[status(thm)],[21088, 3462, 9924])).
% 9.09/6.61 tff(21090,plain,
% 9.09/6.61 (((~![B: $i] : ((~less_3(B)) | (v123(constB138, B) <=> v121(constB137, B)))) | ((~less_3(bitIndex2)) | (v123(constB138, bitIndex2) <=> v121(constB137, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB138, B) <=> v121(constB137, B)))) | (~less_3(bitIndex2)) | (v123(constB138, bitIndex2) <=> v121(constB137, bitIndex2)))),
% 9.09/6.61 inference(rewrite,[status(thm)],[])).
% 9.09/6.61 tff(21091,plain,
% 9.09/6.61 ((~![B: $i] : ((~less_3(B)) | (v123(constB138, B) <=> v121(constB137, B)))) | ((~less_3(bitIndex2)) | (v123(constB138, bitIndex2) <=> v121(constB137, bitIndex2)))),
% 9.09/6.61 inference(quant_inst,[status(thm)],[])).
% 9.09/6.61 tff(21092,plain,
% 9.09/6.61 ((~![B: $i] : ((~less_3(B)) | (v123(constB138, B) <=> v121(constB137, B)))) | (~less_3(bitIndex2)) | (v123(constB138, bitIndex2) <=> v121(constB137, bitIndex2))),
% 9.09/6.61 inference(modus_ponens,[status(thm)],[21091, 21090])).
% 9.09/6.61 tff(21093,plain,
% 9.09/6.61 (v123(constB138, bitIndex2) <=> v121(constB137, bitIndex2)),
% 9.09/6.61 inference(unit_resolution,[status(thm)],[21092, 832, 21089])).
% 9.09/6.61 tff(21094,plain,
% 9.09/6.61 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB137) | ![B: $i] : ((~less_3(B)) | (v121(constB137, B) <=> v124(constB137, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB137) | ![B: $i] : ((~less_3(B)) | (v121(constB137, B) <=> v124(constB137, B))))),
% 9.09/6.62 inference(rewrite,[status(thm)],[])).
% 9.09/6.62 tff(21095,plain,
% 9.09/6.62 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB137) | ![B: $i] : ((~less_3(B)) | (v121(constB137, B) <=> v124(constB137, B))))),
% 9.09/6.62 inference(quant_inst,[status(thm)],[])).
% 9.09/6.62 tff(21096,plain,
% 9.09/6.62 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB137) | ![B: $i] : ((~less_3(B)) | (v121(constB137, B) <=> v124(constB137, B)))),
% 9.09/6.62 inference(modus_ponens,[status(thm)],[21095, 21094])).
% 9.09/6.62 tff(21097,plain,
% 9.09/6.62 (![B: $i] : ((~less_3(B)) | (v121(constB137, B) <=> v124(constB137, B)))),
% 9.09/6.62 inference(unit_resolution,[status(thm)],[21096, 9945, 21058])).
% 9.09/6.62 tff(21098,plain,
% 9.09/6.62 (((~![B: $i] : ((~less_3(B)) | (v121(constB137, B) <=> v124(constB137, B)))) | ((~less_3(bitIndex2)) | (v121(constB137, bitIndex2) <=> v124(constB137, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB137, B) <=> v124(constB137, B)))) | (~less_3(bitIndex2)) | (v121(constB137, bitIndex2) <=> v124(constB137, bitIndex2)))),
% 9.09/6.62 inference(rewrite,[status(thm)],[])).
% 9.09/6.62 tff(21099,plain,
% 9.09/6.62 ((~![B: $i] : ((~less_3(B)) | (v121(constB137, B) <=> v124(constB137, B)))) | ((~less_3(bitIndex2)) | (v121(constB137, bitIndex2) <=> v124(constB137, bitIndex2)))),
% 9.09/6.62 inference(quant_inst,[status(thm)],[])).
% 9.09/6.62 tff(21100,plain,
% 9.09/6.62 ((~![B: $i] : ((~less_3(B)) | (v121(constB137, B) <=> v124(constB137, B)))) | (~less_3(bitIndex2)) | (v121(constB137, bitIndex2) <=> v124(constB137, bitIndex2))),
% 9.09/6.62 inference(modus_ponens,[status(thm)],[21099, 21098])).
% 9.09/6.62 tff(21101,plain,
% 9.09/6.62 (v121(constB137, bitIndex2) <=> v124(constB137, bitIndex2)),
% 9.09/6.62 inference(unit_resolution,[status(thm)],[21100, 832, 21097])).
% 9.09/6.62 tff(21102,plain,
% 9.09/6.62 (((~![VarCurr: $i] : ((~v115(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b011(B))))) | ((~v115(constB137)) | ![B: $i] : ((~less_3(B)) | (v124(constB137, B) <=> b011(B))))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b011(B))))) | (~v115(constB137)) | ![B: $i] : ((~less_3(B)) | (v124(constB137, B) <=> b011(B))))),
% 9.09/6.62 inference(rewrite,[status(thm)],[])).
% 9.09/6.62 tff(21103,plain,
% 9.09/6.62 ((~![VarCurr: $i] : ((~v115(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b011(B))))) | ((~v115(constB137)) | ![B: $i] : ((~less_3(B)) | (v124(constB137, B) <=> b011(B))))),
% 9.09/6.62 inference(quant_inst,[status(thm)],[])).
% 9.09/6.62 tff(21104,plain,
% 9.09/6.62 ((~![VarCurr: $i] : ((~v115(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b011(B))))) | (~v115(constB137)) | ![B: $i] : ((~less_3(B)) | (v124(constB137, B) <=> b011(B)))),
% 9.09/6.62 inference(modus_ponens,[status(thm)],[21103, 21102])).
% 9.09/6.62 tff(21105,plain,
% 9.09/6.62 ((~v115(constB137)) | ![B: $i] : ((~less_3(B)) | (v124(constB137, B) <=> b011(B)))),
% 9.09/6.62 inference(unit_resolution,[status(thm)],[21104, 10329])).
% 9.09/6.62 tff(21106,plain,
% 9.09/6.62 (![B: $i] : ((~less_3(B)) | (v124(constB137, B) <=> b011(B)))),
% 9.09/6.62 inference(unit_resolution,[status(thm)],[21105, 21029])).
% 9.09/6.62 tff(21107,plain,
% 9.09/6.62 (((~![B: $i] : ((~less_3(B)) | (v124(constB137, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v124(constB137, bitIndex2) <=> b011(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB137, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v124(constB137, bitIndex2) <=> b011(bitIndex2)))),
% 9.09/6.62 inference(rewrite,[status(thm)],[])).
% 9.09/6.62 tff(21108,plain,
% 9.09/6.62 ((~![B: $i] : ((~less_3(B)) | (v124(constB137, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v124(constB137, bitIndex2) <=> b011(bitIndex2)))),
% 9.09/6.62 inference(quant_inst,[status(thm)],[])).
% 9.09/6.62 tff(21109,plain,
% 9.09/6.62 ((~![B: $i] : ((~less_3(B)) | (v124(constB137, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v124(constB137, bitIndex2) <=> b011(bitIndex2))),
% 9.09/6.62 inference(modus_ponens,[status(thm)],[21108, 21107])).
% 9.09/6.62 tff(21110,plain,
% 9.09/6.62 (v124(constB137, bitIndex2) <=> b011(bitIndex2)),
% 9.09/6.62 inference(unit_resolution,[status(thm)],[21109, 832, 21106])).
% 9.09/6.62 tff(21111,plain,
% 9.09/6.62 ((~(v124(constB137, bitIndex2) <=> b011(bitIndex2))) | (~v124(constB137, bitIndex2)) | b011(bitIndex2)),
% 9.09/6.62 inference(tautology,[status(thm)],[])).
% 9.09/6.62 tff(21112,plain,
% 9.09/6.62 ((~(v124(constB137, bitIndex2) <=> b011(bitIndex2))) | (~v124(constB137, bitIndex2))),
% 9.09/6.62 inference(unit_resolution,[status(thm)],[21111, 10341])).
% 9.09/6.62 tff(21113,plain,
% 9.09/6.62 (~v124(constB137, bitIndex2)),
% 9.09/6.62 inference(unit_resolution,[status(thm)],[21112, 21110])).
% 9.09/6.62 tff(21114,plain,
% 9.09/6.62 ((~(v121(constB137, bitIndex2) <=> v124(constB137, bitIndex2))) | (~v121(constB137, bitIndex2)) | v124(constB137, bitIndex2)),
% 9.09/6.62 inference(tautology,[status(thm)],[])).
% 9.09/6.62 tff(21115,plain,
% 9.09/6.62 (~v121(constB137, bitIndex2)),
% 9.09/6.62 inference(unit_resolution,[status(thm)],[21114, 21113, 21101])).
% 9.09/6.62 tff(21116,plain,
% 9.09/6.62 ((~(v123(constB138, bitIndex2) <=> v121(constB137, bitIndex2))) | (~v123(constB138, bitIndex2)) | v121(constB137, bitIndex2)),
% 9.09/6.62 inference(tautology,[status(thm)],[])).
% 9.09/6.62 tff(21117,plain,
% 9.09/6.62 (~v123(constB138, bitIndex2)),
% 9.09/6.62 inference(unit_resolution,[status(thm)],[21116, 21115, 21093])).
% 9.09/6.62 tff(21118,plain,
% 9.09/6.62 ((~(v84(constB138, bitIndex2) <=> v123(constB138, bitIndex2))) | (~v84(constB138, bitIndex2)) | v123(constB138, bitIndex2)),
% 9.09/6.62 inference(tautology,[status(thm)],[])).
% 9.09/6.62 tff(21119,plain,
% 9.09/6.62 (~v84(constB138, bitIndex2)),
% 9.09/6.62 inference(unit_resolution,[status(thm)],[21118, 21117, 21085])).
% 9.09/6.62 tff(21120,plain,
% 9.09/6.62 ((~(v84(constB139, bitIndex2) <=> v84(constB138, bitIndex2))) | (~v84(constB139, bitIndex2)) | v84(constB138, bitIndex2)),
% 9.09/6.62 inference(tautology,[status(thm)],[])).
% 9.09/6.62 tff(21121,plain,
% 9.09/6.62 (~v84(constB139, bitIndex2)),
% 9.09/6.62 inference(unit_resolution,[status(thm)],[21120, 21119, 3459])).
% 9.09/6.62 tff(21122,plain,
% 9.09/6.62 (((~![B: $i] : ((~less_3(B)) | (v84(constB139, B) <=> v84(constB138, B)))) | ((~less_3(bitIndex0)) | (v84(constB139, bitIndex0) <=> v84(constB138, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB139, B) <=> v84(constB138, B)))) | (~less_3(bitIndex0)) | (v84(constB139, bitIndex0) <=> v84(constB138, bitIndex0)))),
% 9.09/6.62 inference(rewrite,[status(thm)],[])).
% 9.09/6.62 tff(21123,plain,
% 9.09/6.62 ((~![B: $i] : ((~less_3(B)) | (v84(constB139, B) <=> v84(constB138, B)))) | ((~less_3(bitIndex0)) | (v84(constB139, bitIndex0) <=> v84(constB138, bitIndex0)))),
% 9.09/6.62 inference(quant_inst,[status(thm)],[])).
% 9.09/6.62 tff(21124,plain,
% 9.09/6.62 ((~![B: $i] : ((~less_3(B)) | (v84(constB139, B) <=> v84(constB138, B)))) | (~less_3(bitIndex0)) | (v84(constB139, bitIndex0) <=> v84(constB138, bitIndex0))),
% 9.09/6.62 inference(modus_ponens,[status(thm)],[21123, 21122])).
% 9.09/6.62 tff(21125,plain,
% 9.09/6.62 (v84(constB139, bitIndex0) <=> v84(constB138, bitIndex0)),
% 9.09/6.62 inference(unit_resolution,[status(thm)],[21124, 9772, 3455])).
% 9.09/6.62 tff(21126,plain,
% 9.09/6.62 (((~![B: $i] : ((~less_3(B)) | (v84(constB138, B) <=> v123(constB138, B)))) | ((~less_3(bitIndex0)) | (v84(constB138, bitIndex0) <=> v123(constB138, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB138, B) <=> v123(constB138, B)))) | (~less_3(bitIndex0)) | (v84(constB138, bitIndex0) <=> v123(constB138, bitIndex0)))),
% 9.09/6.62 inference(rewrite,[status(thm)],[])).
% 9.09/6.62 tff(21127,plain,
% 9.09/6.62 ((~![B: $i] : ((~less_3(B)) | (v84(constB138, B) <=> v123(constB138, B)))) | ((~less_3(bitIndex0)) | (v84(constB138, bitIndex0) <=> v123(constB138, bitIndex0)))),
% 9.09/6.62 inference(quant_inst,[status(thm)],[])).
% 9.09/6.62 tff(21128,plain,
% 9.09/6.62 ((~![B: $i] : ((~less_3(B)) | (v84(constB138, B) <=> v123(constB138, B)))) | (~less_3(bitIndex0)) | (v84(constB138, bitIndex0) <=> v123(constB138, bitIndex0))),
% 9.09/6.62 inference(modus_ponens,[status(thm)],[21127, 21126])).
% 9.09/6.62 tff(21129,plain,
% 9.09/6.62 (v84(constB138, bitIndex0) <=> v123(constB138, bitIndex0)),
% 9.09/6.62 inference(unit_resolution,[status(thm)],[21128, 9772, 21081])).
% 9.09/6.62 tff(21130,plain,
% 9.09/6.62 (((~![B: $i] : ((~less_3(B)) | (v123(constB138, B) <=> v121(constB137, B)))) | ((~less_3(bitIndex0)) | (v123(constB138, bitIndex0) <=> v121(constB137, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB138, B) <=> v121(constB137, B)))) | (~less_3(bitIndex0)) | (v123(constB138, bitIndex0) <=> v121(constB137, bitIndex0)))),
% 9.09/6.62 inference(rewrite,[status(thm)],[])).
% 9.09/6.62 tff(21131,plain,
% 9.09/6.62 ((~![B: $i] : ((~less_3(B)) | (v123(constB138, B) <=> v121(constB137, B)))) | ((~less_3(bitIndex0)) | (v123(constB138, bitIndex0) <=> v121(constB137, bitIndex0)))),
% 9.09/6.62 inference(quant_inst,[status(thm)],[])).
% 9.09/6.62 tff(21132,plain,
% 9.09/6.62 ((~![B: $i] : ((~less_3(B)) | (v123(constB138, B) <=> v121(constB137, B)))) | (~less_3(bitIndex0)) | (v123(constB138, bitIndex0) <=> v121(constB137, bitIndex0))),
% 9.09/6.62 inference(modus_ponens,[status(thm)],[21131, 21130])).
% 9.09/6.62 tff(21133,plain,
% 9.09/6.62 (v123(constB138, bitIndex0) <=> v121(constB137, bitIndex0)),
% 9.09/6.62 inference(unit_resolution,[status(thm)],[21132, 9772, 21089])).
% 9.09/6.62 tff(21134,plain,
% 9.09/6.62 (((~![B: $i] : ((~less_3(B)) | (v121(constB137, B) <=> v124(constB137, B)))) | ((~less_3(bitIndex0)) | (v121(constB137, bitIndex0) <=> v124(constB137, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB137, B) <=> v124(constB137, B)))) | (~less_3(bitIndex0)) | (v121(constB137, bitIndex0) <=> v124(constB137, bitIndex0)))),
% 9.09/6.62 inference(rewrite,[status(thm)],[])).
% 9.09/6.62 tff(21135,plain,
% 9.09/6.62 ((~![B: $i] : ((~less_3(B)) | (v121(constB137, B) <=> v124(constB137, B)))) | ((~less_3(bitIndex0)) | (v121(constB137, bitIndex0) <=> v124(constB137, bitIndex0)))),
% 9.09/6.62 inference(quant_inst,[status(thm)],[])).
% 9.09/6.62 tff(21136,plain,
% 9.09/6.62 ((~![B: $i] : ((~less_3(B)) | (v121(constB137, B) <=> v124(constB137, B)))) | (~less_3(bitIndex0)) | (v121(constB137, bitIndex0) <=> v124(constB137, bitIndex0))),
% 9.09/6.62 inference(modus_ponens,[status(thm)],[21135, 21134])).
% 9.09/6.62 tff(21137,plain,
% 9.09/6.62 (v121(constB137, bitIndex0) <=> v124(constB137, bitIndex0)),
% 9.09/6.62 inference(unit_resolution,[status(thm)],[21136, 9772, 21097])).
% 9.09/6.62 tff(21138,plain,
% 9.09/6.62 (((~![B: $i] : ((~less_3(B)) | (v124(constB137, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v124(constB137, bitIndex0) <=> b011(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB137, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v124(constB137, bitIndex0) <=> b011(bitIndex0)))),
% 9.09/6.62 inference(rewrite,[status(thm)],[])).
% 9.09/6.62 tff(21139,plain,
% 9.09/6.62 ((~![B: $i] : ((~less_3(B)) | (v124(constB137, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v124(constB137, bitIndex0) <=> b011(bitIndex0)))),
% 9.09/6.62 inference(quant_inst,[status(thm)],[])).
% 9.09/6.62 tff(21140,plain,
% 9.09/6.62 ((~![B: $i] : ((~less_3(B)) | (v124(constB137, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v124(constB137, bitIndex0) <=> b011(bitIndex0))),
% 9.09/6.62 inference(modus_ponens,[status(thm)],[21139, 21138])).
% 9.09/6.62 tff(21141,plain,
% 9.09/6.62 (v124(constB137, bitIndex0) <=> b011(bitIndex0)),
% 9.09/6.62 inference(unit_resolution,[status(thm)],[21140, 9772, 21106])).
% 9.09/6.62 tff(21142,plain,
% 9.09/6.62 ((~(v124(constB137, bitIndex0) <=> b011(bitIndex0))) | v124(constB137, bitIndex0) | (~b011(bitIndex0))),
% 9.09/6.62 inference(tautology,[status(thm)],[])).
% 9.09/6.62 tff(21143,plain,
% 9.09/6.62 ((~(v124(constB137, bitIndex0) <=> b011(bitIndex0))) | v124(constB137, bitIndex0)),
% 9.09/6.62 inference(unit_resolution,[status(thm)],[21142, 10375])).
% 9.09/6.62 tff(21144,plain,
% 9.09/6.62 (v124(constB137, bitIndex0)),
% 9.09/6.62 inference(unit_resolution,[status(thm)],[21143, 21141])).
% 9.09/6.62 tff(21145,plain,
% 9.09/6.62 ((~(v121(constB137, bitIndex0) <=> v124(constB137, bitIndex0))) | v121(constB137, bitIndex0) | (~v124(constB137, bitIndex0))),
% 9.09/6.62 inference(tautology,[status(thm)],[])).
% 9.09/6.62 tff(21146,plain,
% 9.09/6.62 (v121(constB137, bitIndex0)),
% 9.09/6.62 inference(unit_resolution,[status(thm)],[21145, 21144, 21137])).
% 9.09/6.62 tff(21147,plain,
% 9.09/6.62 ((~(v123(constB138, bitIndex0) <=> v121(constB137, bitIndex0))) | v123(constB138, bitIndex0) | (~v121(constB137, bitIndex0))),
% 9.09/6.62 inference(tautology,[status(thm)],[])).
% 9.09/6.62 tff(21148,plain,
% 9.09/6.62 (v123(constB138, bitIndex0)),
% 9.09/6.62 inference(unit_resolution,[status(thm)],[21147, 21146, 21133])).
% 9.09/6.62 tff(21149,plain,
% 9.09/6.62 ((~(v84(constB138, bitIndex0) <=> v123(constB138, bitIndex0))) | v84(constB138, bitIndex0) | (~v123(constB138, bitIndex0))),
% 9.09/6.62 inference(tautology,[status(thm)],[])).
% 9.09/6.62 tff(21150,plain,
% 9.09/6.62 (v84(constB138, bitIndex0)),
% 9.09/6.62 inference(unit_resolution,[status(thm)],[21149, 21148, 21129])).
% 9.09/6.62 tff(21151,plain,
% 9.09/6.62 ((~(v84(constB139, bitIndex0) <=> v84(constB138, bitIndex0))) | v84(constB139, bitIndex0) | (~v84(constB138, bitIndex0))),
% 9.09/6.62 inference(tautology,[status(thm)],[])).
% 9.09/6.62 tff(21152,plain,
% 9.09/6.62 (v84(constB139, bitIndex0)),
% 9.09/6.62 inference(unit_resolution,[status(thm)],[21151, 21150, 21125])).
% 9.09/6.62 tff(21153,plain,
% 9.09/6.62 (((~![B: $i] : ((~less_3(B)) | (v84(constB139, B) <=> v84(constB138, B)))) | ((~less_3(bitIndex1)) | (v84(constB139, bitIndex1) <=> v84(constB138, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB139, B) <=> v84(constB138, B)))) | (~less_3(bitIndex1)) | (v84(constB139, bitIndex1) <=> v84(constB138, bitIndex1)))),
% 9.09/6.62 inference(rewrite,[status(thm)],[])).
% 9.09/6.62 tff(21154,plain,
% 9.09/6.62 ((~![B: $i] : ((~less_3(B)) | (v84(constB139, B) <=> v84(constB138, B)))) | ((~less_3(bitIndex1)) | (v84(constB139, bitIndex1) <=> v84(constB138, bitIndex1)))),
% 9.09/6.62 inference(quant_inst,[status(thm)],[])).
% 9.09/6.62 tff(21155,plain,
% 9.09/6.62 ((~![B: $i] : ((~less_3(B)) | (v84(constB139, B) <=> v84(constB138, B)))) | (~less_3(bitIndex1)) | (v84(constB139, bitIndex1) <=> v84(constB138, bitIndex1))),
% 9.09/6.62 inference(modus_ponens,[status(thm)],[21154, 21153])).
% 9.09/6.62 tff(21156,plain,
% 9.09/6.62 (v84(constB139, bitIndex1) <=> v84(constB138, bitIndex1)),
% 9.09/6.62 inference(unit_resolution,[status(thm)],[21155, 9785, 3455])).
% 9.09/6.62 tff(21157,plain,
% 9.09/6.62 (((~![B: $i] : ((~less_3(B)) | (v84(constB138, B) <=> v123(constB138, B)))) | ((~less_3(bitIndex1)) | (v84(constB138, bitIndex1) <=> v123(constB138, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB138, B) <=> v123(constB138, B)))) | (~less_3(bitIndex1)) | (v84(constB138, bitIndex1) <=> v123(constB138, bitIndex1)))),
% 9.09/6.62 inference(rewrite,[status(thm)],[])).
% 9.09/6.62 tff(21158,plain,
% 9.09/6.62 ((~![B: $i] : ((~less_3(B)) | (v84(constB138, B) <=> v123(constB138, B)))) | ((~less_3(bitIndex1)) | (v84(constB138, bitIndex1) <=> v123(constB138, bitIndex1)))),
% 9.09/6.62 inference(quant_inst,[status(thm)],[])).
% 9.09/6.62 tff(21159,plain,
% 9.09/6.62 ((~![B: $i] : ((~less_3(B)) | (v84(constB138, B) <=> v123(constB138, B)))) | (~less_3(bitIndex1)) | (v84(constB138, bitIndex1) <=> v123(constB138, bitIndex1))),
% 9.09/6.62 inference(modus_ponens,[status(thm)],[21158, 21157])).
% 9.09/6.62 tff(21160,plain,
% 9.09/6.62 (v84(constB138, bitIndex1) <=> v123(constB138, bitIndex1)),
% 9.09/6.62 inference(unit_resolution,[status(thm)],[21159, 9785, 21081])).
% 9.09/6.62 tff(21161,plain,
% 9.09/6.62 (((~![B: $i] : ((~less_3(B)) | (v123(constB138, B) <=> v121(constB137, B)))) | ((~less_3(bitIndex1)) | (v123(constB138, bitIndex1) <=> v121(constB137, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB138, B) <=> v121(constB137, B)))) | (~less_3(bitIndex1)) | (v123(constB138, bitIndex1) <=> v121(constB137, bitIndex1)))),
% 9.09/6.62 inference(rewrite,[status(thm)],[])).
% 9.09/6.62 tff(21162,plain,
% 9.09/6.62 ((~![B: $i] : ((~less_3(B)) | (v123(constB138, B) <=> v121(constB137, B)))) | ((~less_3(bitIndex1)) | (v123(constB138, bitIndex1) <=> v121(constB137, bitIndex1)))),
% 9.09/6.62 inference(quant_inst,[status(thm)],[])).
% 9.09/6.62 tff(21163,plain,
% 9.09/6.62 ((~![B: $i] : ((~less_3(B)) | (v123(constB138, B) <=> v121(constB137, B)))) | (~less_3(bitIndex1)) | (v123(constB138, bitIndex1) <=> v121(constB137, bitIndex1))),
% 9.09/6.62 inference(modus_ponens,[status(thm)],[21162, 21161])).
% 9.09/6.62 tff(21164,plain,
% 9.09/6.62 (v123(constB138, bitIndex1) <=> v121(constB137, bitIndex1)),
% 9.09/6.62 inference(unit_resolution,[status(thm)],[21163, 9785, 21089])).
% 9.09/6.62 tff(21165,plain,
% 9.09/6.62 (((~![B: $i] : ((~less_3(B)) | (v121(constB137, B) <=> v124(constB137, B)))) | ((~less_3(bitIndex1)) | (v121(constB137, bitIndex1) <=> v124(constB137, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB137, B) <=> v124(constB137, B)))) | (~less_3(bitIndex1)) | (v121(constB137, bitIndex1) <=> v124(constB137, bitIndex1)))),
% 9.09/6.62 inference(rewrite,[status(thm)],[])).
% 9.09/6.62 tff(21166,plain,
% 9.09/6.62 ((~![B: $i] : ((~less_3(B)) | (v121(constB137, B) <=> v124(constB137, B)))) | ((~less_3(bitIndex1)) | (v121(constB137, bitIndex1) <=> v124(constB137, bitIndex1)))),
% 9.09/6.62 inference(quant_inst,[status(thm)],[])).
% 9.09/6.62 tff(21167,plain,
% 9.09/6.62 ((~![B: $i] : ((~less_3(B)) | (v121(constB137, B) <=> v124(constB137, B)))) | (~less_3(bitIndex1)) | (v121(constB137, bitIndex1) <=> v124(constB137, bitIndex1))),
% 9.09/6.62 inference(modus_ponens,[status(thm)],[21166, 21165])).
% 9.09/6.62 tff(21168,plain,
% 9.09/6.62 (v121(constB137, bitIndex1) <=> v124(constB137, bitIndex1)),
% 9.09/6.62 inference(unit_resolution,[status(thm)],[21167, 9785, 21097])).
% 9.09/6.62 tff(21169,plain,
% 9.09/6.62 (((~![B: $i] : ((~less_3(B)) | (v124(constB137, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v124(constB137, bitIndex1) <=> b011(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB137, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v124(constB137, bitIndex1) <=> b011(bitIndex1)))),
% 9.09/6.62 inference(rewrite,[status(thm)],[])).
% 9.09/6.62 tff(21170,plain,
% 9.09/6.62 ((~![B: $i] : ((~less_3(B)) | (v124(constB137, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v124(constB137, bitIndex1) <=> b011(bitIndex1)))),
% 9.09/6.62 inference(quant_inst,[status(thm)],[])).
% 9.09/6.62 tff(21171,plain,
% 9.09/6.62 ((~![B: $i] : ((~less_3(B)) | (v124(constB137, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v124(constB137, bitIndex1) <=> b011(bitIndex1))),
% 9.09/6.62 inference(modus_ponens,[status(thm)],[21170, 21169])).
% 9.09/6.62 tff(21172,plain,
% 9.09/6.62 (v124(constB137, bitIndex1) <=> b011(bitIndex1)),
% 9.09/6.62 inference(unit_resolution,[status(thm)],[21171, 9785, 21106])).
% 9.09/6.62 tff(21173,plain,
% 9.09/6.62 ((~(v124(constB137, bitIndex1) <=> b011(bitIndex1))) | v124(constB137, bitIndex1) | (~b011(bitIndex1))),
% 9.09/6.62 inference(tautology,[status(thm)],[])).
% 9.09/6.62 tff(21174,plain,
% 9.09/6.62 ((~(v124(constB137, bitIndex1) <=> b011(bitIndex1))) | v124(constB137, bitIndex1)),
% 9.09/6.62 inference(unit_resolution,[status(thm)],[21173, 10409])).
% 9.09/6.62 tff(21175,plain,
% 9.09/6.62 (v124(constB137, bitIndex1)),
% 9.09/6.62 inference(unit_resolution,[status(thm)],[21174, 21172])).
% 9.09/6.62 tff(21176,plain,
% 9.09/6.62 ((~(v121(constB137, bitIndex1) <=> v124(constB137, bitIndex1))) | v121(constB137, bitIndex1) | (~v124(constB137, bitIndex1))),
% 9.09/6.62 inference(tautology,[status(thm)],[])).
% 9.09/6.62 tff(21177,plain,
% 9.09/6.62 (v121(constB137, bitIndex1)),
% 9.09/6.62 inference(unit_resolution,[status(thm)],[21176, 21175, 21168])).
% 9.09/6.62 tff(21178,plain,
% 9.09/6.62 ((~(v123(constB138, bitIndex1) <=> v121(constB137, bitIndex1))) | v123(constB138, bitIndex1) | (~v121(constB137, bitIndex1))),
% 9.09/6.62 inference(tautology,[status(thm)],[])).
% 9.09/6.62 tff(21179,plain,
% 9.09/6.62 (v123(constB138, bitIndex1)),
% 9.09/6.62 inference(unit_resolution,[status(thm)],[21178, 21177, 21164])).
% 9.09/6.62 tff(21180,plain,
% 9.09/6.62 ((~(v84(constB138, bitIndex1) <=> v123(constB138, bitIndex1))) | v84(constB138, bitIndex1) | (~v123(constB138, bitIndex1))),
% 9.09/6.62 inference(tautology,[status(thm)],[])).
% 9.09/6.62 tff(21181,plain,
% 9.09/6.62 (v84(constB138, bitIndex1)),
% 9.09/6.62 inference(unit_resolution,[status(thm)],[21180, 21179, 21160])).
% 9.09/6.62 tff(21182,plain,
% 9.09/6.62 ((~(v84(constB139, bitIndex1) <=> v84(constB138, bitIndex1))) | v84(constB139, bitIndex1) | (~v84(constB138, bitIndex1))),
% 9.09/6.62 inference(tautology,[status(thm)],[])).
% 9.09/6.62 tff(21183,plain,
% 9.09/6.62 (v84(constB139, bitIndex1)),
% 9.09/6.62 inference(unit_resolution,[status(thm)],[21182, 21181, 21156])).
% 9.09/6.62 tff(21184,plain,
% 9.09/6.62 ((~(v84(constB139, bitIndex2) | (~v84(constB139, bitIndex1)) | (~v84(constB139, bitIndex0)))) | v84(constB139, bitIndex2) | (~v84(constB139, bitIndex1)) | (~v84(constB139, bitIndex0))),
% 9.09/6.62 inference(tautology,[status(thm)],[])).
% 9.09/6.62 tff(21185,plain,
% 9.09/6.62 (~(v84(constB139, bitIndex2) | (~v84(constB139, bitIndex1)) | (~v84(constB139, bitIndex0)))),
% 9.09/6.62 inference(unit_resolution,[status(thm)],[21184, 21183, 21152, 21121])).
% 9.09/6.62 tff(21186,plain,
% 9.09/6.62 ((~(v116(constB139) <=> (~(v84(constB139, bitIndex2) | (~v84(constB139, bitIndex1)) | (~v84(constB139, bitIndex0)))))) | v116(constB139) | (v84(constB139, bitIndex2) | (~v84(constB139, bitIndex1)) | (~v84(constB139, bitIndex0)))),
% 9.09/6.62 inference(tautology,[status(thm)],[])).
% 9.09/6.62 tff(21187,plain,
% 9.09/6.62 (v116(constB139)),
% 9.09/6.62 inference(unit_resolution,[status(thm)],[21186, 21185, 3427])).
% 9.09/6.62 tff(21188,plain,
% 9.09/6.62 ((v111(constB139) | v116(constB139)) | (~v116(constB139))),
% 9.09/6.62 inference(tautology,[status(thm)],[])).
% 9.09/6.62 tff(21189,plain,
% 9.09/6.62 (v111(constB139) | v116(constB139)),
% 9.09/6.62 inference(unit_resolution,[status(thm)],[21188, 21187])).
% 9.09/6.62 tff(21190,plain,
% 9.09/6.62 ((~(v110(constB139) <=> (v111(constB139) | v116(constB139)))) | v110(constB139) | (~(v111(constB139) | v116(constB139)))),
% 9.09/6.62 inference(tautology,[status(thm)],[])).
% 9.09/6.62 tff(21191,plain,
% 9.09/6.62 (v110(constB139)),
% 9.09/6.62 inference(unit_resolution,[status(thm)],[21190, 21189, 3425])).
% 9.09/6.62 tff(21192,plain,
% 9.09/6.62 ((v110(constB139) | v117(constB139)) | (~v110(constB139))),
% 9.09/6.62 inference(tautology,[status(thm)],[])).
% 9.09/6.62 tff(21193,plain,
% 9.09/6.62 (v110(constB139) | v117(constB139)),
% 9.09/6.62 inference(unit_resolution,[status(thm)],[21192, 21191])).
% 9.09/6.62 tff(21194,plain,
% 9.09/6.62 ((~(v109(constB139) <=> (v110(constB139) | v117(constB139)))) | v109(constB139) | (~(v110(constB139) | v117(constB139)))),
% 9.09/6.62 inference(tautology,[status(thm)],[])).
% 9.09/6.62 tff(21195,plain,
% 9.09/6.62 (v109(constB139)),
% 9.09/6.62 inference(unit_resolution,[status(thm)],[21194, 21193, 3423])).
% 9.09/6.62 tff(21196,plain,
% 9.09/6.62 ((v109(constB139) | v118(constB139)) | (~v109(constB139))),
% 9.09/6.62 inference(tautology,[status(thm)],[])).
% 9.09/6.62 tff(21197,plain,
% 9.09/6.62 (v109(constB139) | v118(constB139)),
% 9.09/6.62 inference(unit_resolution,[status(thm)],[21196, 21195])).
% 9.09/6.62 tff(21198,plain,
% 9.09/6.62 ((~(v108(constB139) <=> (v109(constB139) | v118(constB139)))) | v108(constB139) | (~(v109(constB139) | v118(constB139)))),
% 9.09/6.62 inference(tautology,[status(thm)],[])).
% 9.09/6.62 tff(21199,plain,
% 9.09/6.62 (v108(constB139)),
% 9.09/6.62 inference(unit_resolution,[status(thm)],[21198, 21197, 3421])).
% 9.09/6.62 tff(21200,plain,
% 9.09/6.62 ((v108(constB139) | v119(constB139)) | (~v108(constB139))),
% 9.09/6.62 inference(tautology,[status(thm)],[])).
% 9.09/6.62 tff(21201,plain,
% 9.09/6.62 (v108(constB139) | v119(constB139)),
% 9.09/6.62 inference(unit_resolution,[status(thm)],[21200, 21199])).
% 9.09/6.62 tff(21202,plain,
% 9.09/6.62 ((~(v107(constB139) <=> (v108(constB139) | v119(constB139)))) | v107(constB139) | (~(v108(constB139) | v119(constB139)))),
% 9.09/6.62 inference(tautology,[status(thm)],[])).
% 9.09/6.62 tff(21203,plain,
% 9.09/6.62 (v107(constB139)),
% 9.09/6.62 inference(unit_resolution,[status(thm)],[21202, 21201, 3419])).
% 9.09/6.62 tff(21204,plain,
% 9.09/6.62 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB139)) <=> v105(constB139))),
% 9.09/6.62 inference(quant_inst,[status(thm)],[])).
% 9.09/6.62 tff(21205,plain,
% 9.09/6.62 ((~v120(constB139)) <=> v105(constB139)),
% 9.09/6.62 inference(unit_resolution,[status(thm)],[21204, 9842])).
% 9.09/6.62 tff(21206,plain,
% 9.09/6.62 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB139) <=> v26(constB139))),
% 9.09/6.62 inference(quant_inst,[status(thm)],[])).
% 9.09/6.62 tff(21207,plain,
% 9.09/6.62 (v105(constB139) <=> v26(constB139)),
% 9.09/6.62 inference(unit_resolution,[status(thm)],[21206, 9854])).
% 9.09/6.62 tff(21208,plain,
% 9.09/6.62 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB139))),
% 9.09/6.62 inference(quant_inst,[status(thm)],[])).
% 9.09/6.62 tff(21209,plain,
% 9.09/6.62 (~v26(constB139)),
% 9.09/6.62 inference(unit_resolution,[status(thm)],[21208, 9866])).
% 9.09/6.62 tff(21210,plain,
% 9.09/6.62 ((~(v105(constB139) <=> v26(constB139))) | (~v105(constB139)) | v26(constB139)),
% 9.09/6.62 inference(tautology,[status(thm)],[])).
% 9.09/6.62 tff(21211,plain,
% 9.09/6.62 ((~(v105(constB139) <=> v26(constB139))) | (~v105(constB139))),
% 9.09/6.62 inference(unit_resolution,[status(thm)],[21210, 21209])).
% 9.09/6.62 tff(21212,plain,
% 9.09/6.62 (~v105(constB139)),
% 9.09/6.62 inference(unit_resolution,[status(thm)],[21211, 21207])).
% 9.09/6.62 tff(21213,plain,
% 9.09/6.62 ((~((~v120(constB139)) <=> v105(constB139))) | v120(constB139) | v105(constB139)),
% 9.09/6.62 inference(tautology,[status(thm)],[])).
% 9.09/6.62 tff(21214,plain,
% 9.09/6.62 ((~((~v120(constB139)) <=> v105(constB139))) | v120(constB139)),
% 9.09/6.62 inference(unit_resolution,[status(thm)],[21213, 21212])).
% 9.09/6.62 tff(21215,plain,
% 9.09/6.62 (v120(constB139)),
% 9.09/6.62 inference(unit_resolution,[status(thm)],[21214, 21205])).
% 9.09/6.62 tff(21216,plain,
% 9.09/6.62 ((~((~v107(constB139)) | (~v120(constB139)))) | (~v107(constB139)) | (~v120(constB139))),
% 9.09/6.62 inference(tautology,[status(thm)],[])).
% 9.09/6.62 tff(21217,plain,
% 9.09/6.62 ((~((~v107(constB139)) | (~v120(constB139)))) | (~v107(constB139))),
% 9.09/6.62 inference(unit_resolution,[status(thm)],[21216, 21215])).
% 9.09/6.62 tff(21218,plain,
% 9.09/6.62 (~((~v107(constB139)) | (~v120(constB139)))),
% 9.09/6.62 inference(unit_resolution,[status(thm)],[21217, 21203])).
% 9.09/6.62 tff(21219,plain,
% 9.09/6.62 ((~(v106(constB139) <=> (~((~v107(constB139)) | (~v120(constB139)))))) | v106(constB139) | ((~v107(constB139)) | (~v120(constB139)))),
% 9.09/6.62 inference(tautology,[status(thm)],[])).
% 9.09/6.62 tff(21220,plain,
% 9.09/6.62 (v106(constB139)),
% 9.09/6.62 inference(unit_resolution,[status(thm)],[21219, 21218, 3417])).
% 9.09/6.62 tff(21221,plain,
% 9.09/6.62 ((v105(constB139) | v106(constB139)) | (~v106(constB139))),
% 9.09/6.62 inference(tautology,[status(thm)],[])).
% 9.09/6.62 tff(21222,plain,
% 9.09/6.62 (v105(constB139) | v106(constB139)),
% 9.09/6.62 inference(unit_resolution,[status(thm)],[21221, 21220])).
% 9.09/6.62 tff(21223,plain,
% 9.09/6.62 ((~(v102(constB139) <=> (v105(constB139) | v106(constB139)))) | v102(constB139) | (~(v105(constB139) | v106(constB139)))),
% 9.09/6.62 inference(tautology,[status(thm)],[])).
% 9.09/6.62 tff(21224,plain,
% 9.09/6.62 (v102(constB139)),
% 9.09/6.62 inference(unit_resolution,[status(thm)],[21223, 21222, 3415])).
% 9.09/6.62 tff(21225,plain,
% 9.09/6.62 ((~(v104(constB140) <=> v102(constB139))) | v104(constB140) | (~v102(constB139))),
% 9.09/6.62 inference(tautology,[status(thm)],[])).
% 9.09/6.62 tff(21226,plain,
% 9.09/6.62 (v104(constB140)),
% 9.09/6.62 inference(unit_resolution,[status(thm)],[21225, 21224, 3413])).
% 9.09/6.62 tff(21227,plain,
% 9.09/6.62 ((~((~v104(constB140)) | (~v95(constB140)))) | (~v104(constB140)) | (~v95(constB140))),
% 9.09/6.62 inference(tautology,[status(thm)],[])).
% 9.09/6.62 tff(21228,plain,
% 9.09/6.62 (~((~v104(constB140)) | (~v95(constB140)))),
% 9.09/6.62 inference(unit_resolution,[status(thm)],[21227, 21226, 3409])).
% 9.09/6.62 tff(21229,plain,
% 9.09/6.62 ((~(v94(constB140) <=> (~((~v104(constB140)) | (~v95(constB140)))))) | v94(constB140) | ((~v104(constB140)) | (~v95(constB140)))),
% 9.09/6.62 inference(tautology,[status(thm)],[])).
% 9.09/6.62 tff(21230,plain,
% 9.09/6.62 (v94(constB140)),
% 9.09/6.62 inference(unit_resolution,[status(thm)],[21229, 21228, 3378])).
% 9.09/6.62 tff(21231,plain,
% 9.09/6.62 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB140)) | ![B: $i] : ((~less_3(B)) | (v84(constB140, B) <=> v123(constB140, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB140)) | ![B: $i] : ((~less_3(B)) | (v84(constB140, B) <=> v123(constB140, B))))),
% 9.09/6.62 inference(rewrite,[status(thm)],[])).
% 9.09/6.62 tff(21232,plain,
% 9.09/6.62 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB140)) | ![B: $i] : ((~less_3(B)) | (v84(constB140, B) <=> v123(constB140, B))))),
% 9.09/6.62 inference(quant_inst,[status(thm)],[])).
% 9.09/6.62 tff(21233,plain,
% 9.09/6.62 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB140)) | ![B: $i] : ((~less_3(B)) | (v84(constB140, B) <=> v123(constB140, B)))),
% 9.09/6.62 inference(modus_ponens,[status(thm)],[21232, 21231])).
% 9.09/6.62 tff(21234,plain,
% 9.09/6.62 ((~v94(constB140)) | ![B: $i] : ((~less_3(B)) | (v84(constB140, B) <=> v123(constB140, B)))),
% 9.09/6.62 inference(unit_resolution,[status(thm)],[21233, 9902])).
% 9.09/6.62 tff(21235,plain,
% 9.09/6.62 (![B: $i] : ((~less_3(B)) | (v84(constB140, B) <=> v123(constB140, B)))),
% 9.09/6.62 inference(unit_resolution,[status(thm)],[21234, 21230])).
% 9.09/6.62 tff(21236,plain,
% 9.09/6.62 (((~![B: $i] : ((~less_3(B)) | (v84(constB140, B) <=> v123(constB140, B)))) | ((~less_3(bitIndex2)) | (v84(constB140, bitIndex2) <=> v123(constB140, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB140, B) <=> v123(constB140, B)))) | (~less_3(bitIndex2)) | (v84(constB140, bitIndex2) <=> v123(constB140, bitIndex2)))),
% 9.09/6.62 inference(rewrite,[status(thm)],[])).
% 9.09/6.62 tff(21237,plain,
% 9.09/6.62 ((~![B: $i] : ((~less_3(B)) | (v84(constB140, B) <=> v123(constB140, B)))) | ((~less_3(bitIndex2)) | (v84(constB140, bitIndex2) <=> v123(constB140, bitIndex2)))),
% 9.09/6.62 inference(quant_inst,[status(thm)],[])).
% 9.09/6.62 tff(21238,plain,
% 9.09/6.62 ((~![B: $i] : ((~less_3(B)) | (v84(constB140, B) <=> v123(constB140, B)))) | (~less_3(bitIndex2)) | (v84(constB140, bitIndex2) <=> v123(constB140, bitIndex2))),
% 9.09/6.62 inference(modus_ponens,[status(thm)],[21237, 21236])).
% 9.09/6.62 tff(21239,plain,
% 9.09/6.62 (v84(constB140, bitIndex2) <=> v123(constB140, bitIndex2)),
% 9.09/6.62 inference(unit_resolution,[status(thm)],[21238, 832, 21235])).
% 9.09/6.62 tff(21240,plain,
% 9.09/6.62 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB139, constB140)) | ![B: $i] : ((~less_3(B)) | (v123(constB140, B) <=> v121(constB139, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB139, constB140)) | ![B: $i] : ((~less_3(B)) | (v123(constB140, B) <=> v121(constB139, B))))),
% 9.09/6.62 inference(rewrite,[status(thm)],[])).
% 9.09/6.62 tff(21241,plain,
% 9.09/6.62 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB139, constB140)) | ![B: $i] : ((~less_3(B)) | (v123(constB140, B) <=> v121(constB139, B))))),
% 9.09/6.62 inference(quant_inst,[status(thm)],[])).
% 9.09/6.62 tff(21242,plain,
% 9.09/6.62 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB139, constB140)) | ![B: $i] : ((~less_3(B)) | (v123(constB140, B) <=> v121(constB139, B)))),
% 9.09/6.62 inference(modus_ponens,[status(thm)],[21241, 21240])).
% 9.09/6.62 tff(21243,plain,
% 9.09/6.62 (![B: $i] : ((~less_3(B)) | (v123(constB140, B) <=> v121(constB139, B)))),
% 9.09/6.62 inference(unit_resolution,[status(thm)],[21242, 3374, 9924])).
% 9.09/6.62 tff(21244,plain,
% 9.09/6.62 (((~![B: $i] : ((~less_3(B)) | (v123(constB140, B) <=> v121(constB139, B)))) | ((~less_3(bitIndex2)) | (v123(constB140, bitIndex2) <=> v121(constB139, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB140, B) <=> v121(constB139, B)))) | (~less_3(bitIndex2)) | (v123(constB140, bitIndex2) <=> v121(constB139, bitIndex2)))),
% 9.09/6.62 inference(rewrite,[status(thm)],[])).
% 9.09/6.62 tff(21245,plain,
% 9.09/6.62 ((~![B: $i] : ((~less_3(B)) | (v123(constB140, B) <=> v121(constB139, B)))) | ((~less_3(bitIndex2)) | (v123(constB140, bitIndex2) <=> v121(constB139, bitIndex2)))),
% 9.09/6.62 inference(quant_inst,[status(thm)],[])).
% 9.09/6.62 tff(21246,plain,
% 9.09/6.62 ((~![B: $i] : ((~less_3(B)) | (v123(constB140, B) <=> v121(constB139, B)))) | (~less_3(bitIndex2)) | (v123(constB140, bitIndex2) <=> v121(constB139, bitIndex2))),
% 9.09/6.62 inference(modus_ponens,[status(thm)],[21245, 21244])).
% 9.09/6.62 tff(21247,plain,
% 9.09/6.62 (v123(constB140, bitIndex2) <=> v121(constB139, bitIndex2)),
% 9.09/6.62 inference(unit_resolution,[status(thm)],[21246, 832, 21243])).
% 9.09/6.62 tff(21248,plain,
% 9.09/6.62 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB139) | ![B: $i] : ((~less_3(B)) | (v121(constB139, B) <=> v124(constB139, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB139) | ![B: $i] : ((~less_3(B)) | (v121(constB139, B) <=> v124(constB139, B))))),
% 9.09/6.62 inference(rewrite,[status(thm)],[])).
% 9.09/6.62 tff(21249,plain,
% 9.09/6.62 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB139) | ![B: $i] : ((~less_3(B)) | (v121(constB139, B) <=> v124(constB139, B))))),
% 9.09/6.62 inference(quant_inst,[status(thm)],[])).
% 9.09/6.62 tff(21250,plain,
% 9.09/6.62 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB139) | ![B: $i] : ((~less_3(B)) | (v121(constB139, B) <=> v124(constB139, B)))),
% 9.09/6.62 inference(modus_ponens,[status(thm)],[21249, 21248])).
% 9.09/6.62 tff(21251,plain,
% 9.09/6.62 (![B: $i] : ((~less_3(B)) | (v121(constB139, B) <=> v124(constB139, B)))),
% 9.09/6.62 inference(unit_resolution,[status(thm)],[21250, 9945, 21212])).
% 9.09/6.62 tff(21252,plain,
% 9.09/6.62 (((~![B: $i] : ((~less_3(B)) | (v121(constB139, B) <=> v124(constB139, B)))) | ((~less_3(bitIndex2)) | (v121(constB139, bitIndex2) <=> v124(constB139, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB139, B) <=> v124(constB139, B)))) | (~less_3(bitIndex2)) | (v121(constB139, bitIndex2) <=> v124(constB139, bitIndex2)))),
% 9.09/6.62 inference(rewrite,[status(thm)],[])).
% 9.09/6.62 tff(21253,plain,
% 9.09/6.62 ((~![B: $i] : ((~less_3(B)) | (v121(constB139, B) <=> v124(constB139, B)))) | ((~less_3(bitIndex2)) | (v121(constB139, bitIndex2) <=> v124(constB139, bitIndex2)))),
% 9.09/6.62 inference(quant_inst,[status(thm)],[])).
% 9.09/6.62 tff(21254,plain,
% 9.09/6.62 ((~![B: $i] : ((~less_3(B)) | (v121(constB139, B) <=> v124(constB139, B)))) | (~less_3(bitIndex2)) | (v121(constB139, bitIndex2) <=> v124(constB139, bitIndex2))),
% 9.09/6.62 inference(modus_ponens,[status(thm)],[21253, 21252])).
% 9.09/6.62 tff(21255,plain,
% 9.09/6.62 (v121(constB139, bitIndex2) <=> v124(constB139, bitIndex2)),
% 9.09/6.62 inference(unit_resolution,[status(thm)],[21254, 832, 21251])).
% 9.09/6.62 tff(21256,plain,
% 9.09/6.62 (((~![VarCurr: $i] : ((~v116(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b100(B))))) | ((~v116(constB139)) | ![B: $i] : ((~less_3(B)) | (v124(constB139, B) <=> b100(B))))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b100(B))))) | (~v116(constB139)) | ![B: $i] : ((~less_3(B)) | (v124(constB139, B) <=> b100(B))))),
% 9.09/6.62 inference(rewrite,[status(thm)],[])).
% 9.09/6.62 tff(21257,plain,
% 9.09/6.62 ((~![VarCurr: $i] : ((~v116(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b100(B))))) | ((~v116(constB139)) | ![B: $i] : ((~less_3(B)) | (v124(constB139, B) <=> b100(B))))),
% 9.09/6.62 inference(quant_inst,[status(thm)],[])).
% 9.09/6.62 tff(21258,plain,
% 9.09/6.62 ((~![VarCurr: $i] : ((~v116(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b100(B))))) | (~v116(constB139)) | ![B: $i] : ((~less_3(B)) | (v124(constB139, B) <=> b100(B)))),
% 9.09/6.62 inference(modus_ponens,[status(thm)],[21257, 21256])).
% 9.09/6.62 tff(21259,plain,
% 9.09/6.62 ((~v116(constB139)) | ![B: $i] : ((~less_3(B)) | (v124(constB139, B) <=> b100(B)))),
% 9.09/6.62 inference(unit_resolution,[status(thm)],[21258, 10505])).
% 9.09/6.62 tff(21260,plain,
% 9.09/6.62 (![B: $i] : ((~less_3(B)) | (v124(constB139, B) <=> b100(B)))),
% 9.09/6.62 inference(unit_resolution,[status(thm)],[21259, 21187])).
% 9.09/6.62 tff(21261,plain,
% 9.09/6.62 (((~![B: $i] : ((~less_3(B)) | (v124(constB139, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v124(constB139, bitIndex2) <=> b100(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB139, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v124(constB139, bitIndex2) <=> b100(bitIndex2)))),
% 9.09/6.62 inference(rewrite,[status(thm)],[])).
% 9.09/6.62 tff(21262,plain,
% 9.09/6.62 ((~![B: $i] : ((~less_3(B)) | (v124(constB139, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v124(constB139, bitIndex2) <=> b100(bitIndex2)))),
% 9.09/6.62 inference(quant_inst,[status(thm)],[])).
% 9.09/6.62 tff(21263,plain,
% 9.09/6.62 ((~![B: $i] : ((~less_3(B)) | (v124(constB139, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v124(constB139, bitIndex2) <=> b100(bitIndex2))),
% 9.09/6.62 inference(modus_ponens,[status(thm)],[21262, 21261])).
% 9.09/6.62 tff(21264,plain,
% 9.09/6.62 (v124(constB139, bitIndex2) <=> b100(bitIndex2)),
% 9.09/6.62 inference(unit_resolution,[status(thm)],[21263, 832, 21260])).
% 9.09/6.62 tff(21265,plain,
% 9.09/6.62 ((~(v124(constB139, bitIndex2) <=> b100(bitIndex2))) | v124(constB139, bitIndex2) | (~b100(bitIndex2))),
% 9.09/6.62 inference(tautology,[status(thm)],[])).
% 9.09/6.62 tff(21266,plain,
% 9.09/6.62 ((~(v124(constB139, bitIndex2) <=> b100(bitIndex2))) | v124(constB139, bitIndex2)),
% 9.09/6.62 inference(unit_resolution,[status(thm)],[21265, 10517])).
% 9.09/6.62 tff(21267,plain,
% 9.09/6.62 (v124(constB139, bitIndex2)),
% 9.09/6.62 inference(unit_resolution,[status(thm)],[21266, 21264])).
% 9.09/6.62 tff(21268,plain,
% 9.09/6.62 ((~(v121(constB139, bitIndex2) <=> v124(constB139, bitIndex2))) | v121(constB139, bitIndex2) | (~v124(constB139, bitIndex2))),
% 9.09/6.62 inference(tautology,[status(thm)],[])).
% 9.09/6.62 tff(21269,plain,
% 9.09/6.62 (v121(constB139, bitIndex2)),
% 9.09/6.62 inference(unit_resolution,[status(thm)],[21268, 21267, 21255])).
% 9.09/6.62 tff(21270,plain,
% 9.09/6.62 ((~(v123(constB140, bitIndex2) <=> v121(constB139, bitIndex2))) | v123(constB140, bitIndex2) | (~v121(constB139, bitIndex2))),
% 9.09/6.62 inference(tautology,[status(thm)],[])).
% 9.09/6.63 tff(21271,plain,
% 9.09/6.63 (v123(constB140, bitIndex2)),
% 9.09/6.63 inference(unit_resolution,[status(thm)],[21270, 21269, 21247])).
% 9.09/6.63 tff(21272,plain,
% 9.09/6.63 ((~(v84(constB140, bitIndex2) <=> v123(constB140, bitIndex2))) | v84(constB140, bitIndex2) | (~v123(constB140, bitIndex2))),
% 9.09/6.63 inference(tautology,[status(thm)],[])).
% 9.09/6.63 tff(21273,plain,
% 9.09/6.63 (v84(constB140, bitIndex2)),
% 9.09/6.63 inference(unit_resolution,[status(thm)],[21272, 21271, 21239])).
% 9.09/6.63 tff(21274,plain,
% 9.09/6.63 ((~(v84(constB141, bitIndex2) <=> v84(constB140, bitIndex2))) | v84(constB141, bitIndex2) | (~v84(constB140, bitIndex2))),
% 9.09/6.63 inference(tautology,[status(thm)],[])).
% 9.09/6.63 tff(21275,plain,
% 9.09/6.63 (v84(constB141, bitIndex2)),
% 9.09/6.63 inference(unit_resolution,[status(thm)],[21274, 21273, 3371])).
% 9.09/6.63 tff(21276,plain,
% 9.09/6.63 (((~![B: $i] : ((~less_3(B)) | (v84(constB141, B) <=> v84(constB140, B)))) | ((~less_3(bitIndex0)) | (v84(constB141, bitIndex0) <=> v84(constB140, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB141, B) <=> v84(constB140, B)))) | (~less_3(bitIndex0)) | (v84(constB141, bitIndex0) <=> v84(constB140, bitIndex0)))),
% 9.09/6.63 inference(rewrite,[status(thm)],[])).
% 9.09/6.63 tff(21277,plain,
% 9.09/6.63 ((~![B: $i] : ((~less_3(B)) | (v84(constB141, B) <=> v84(constB140, B)))) | ((~less_3(bitIndex0)) | (v84(constB141, bitIndex0) <=> v84(constB140, bitIndex0)))),
% 9.09/6.63 inference(quant_inst,[status(thm)],[])).
% 9.09/6.63 tff(21278,plain,
% 9.09/6.63 ((~![B: $i] : ((~less_3(B)) | (v84(constB141, B) <=> v84(constB140, B)))) | (~less_3(bitIndex0)) | (v84(constB141, bitIndex0) <=> v84(constB140, bitIndex0))),
% 9.09/6.63 inference(modus_ponens,[status(thm)],[21277, 21276])).
% 9.09/6.63 tff(21279,plain,
% 9.09/6.63 (v84(constB141, bitIndex0) <=> v84(constB140, bitIndex0)),
% 9.09/6.63 inference(unit_resolution,[status(thm)],[21278, 9772, 3367])).
% 9.09/6.63 tff(21280,plain,
% 9.09/6.63 (((~![B: $i] : ((~less_3(B)) | (v84(constB140, B) <=> v123(constB140, B)))) | ((~less_3(bitIndex0)) | (v84(constB140, bitIndex0) <=> v123(constB140, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB140, B) <=> v123(constB140, B)))) | (~less_3(bitIndex0)) | (v84(constB140, bitIndex0) <=> v123(constB140, bitIndex0)))),
% 9.09/6.63 inference(rewrite,[status(thm)],[])).
% 9.09/6.63 tff(21281,plain,
% 9.09/6.63 ((~![B: $i] : ((~less_3(B)) | (v84(constB140, B) <=> v123(constB140, B)))) | ((~less_3(bitIndex0)) | (v84(constB140, bitIndex0) <=> v123(constB140, bitIndex0)))),
% 9.09/6.63 inference(quant_inst,[status(thm)],[])).
% 9.09/6.63 tff(21282,plain,
% 9.09/6.63 ((~![B: $i] : ((~less_3(B)) | (v84(constB140, B) <=> v123(constB140, B)))) | (~less_3(bitIndex0)) | (v84(constB140, bitIndex0) <=> v123(constB140, bitIndex0))),
% 9.09/6.63 inference(modus_ponens,[status(thm)],[21281, 21280])).
% 9.09/6.63 tff(21283,plain,
% 9.09/6.63 (v84(constB140, bitIndex0) <=> v123(constB140, bitIndex0)),
% 9.09/6.63 inference(unit_resolution,[status(thm)],[21282, 9772, 21235])).
% 9.09/6.63 tff(21284,plain,
% 9.09/6.63 (((~![B: $i] : ((~less_3(B)) | (v123(constB140, B) <=> v121(constB139, B)))) | ((~less_3(bitIndex0)) | (v123(constB140, bitIndex0) <=> v121(constB139, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB140, B) <=> v121(constB139, B)))) | (~less_3(bitIndex0)) | (v123(constB140, bitIndex0) <=> v121(constB139, bitIndex0)))),
% 9.09/6.63 inference(rewrite,[status(thm)],[])).
% 9.09/6.63 tff(21285,plain,
% 9.09/6.63 ((~![B: $i] : ((~less_3(B)) | (v123(constB140, B) <=> v121(constB139, B)))) | ((~less_3(bitIndex0)) | (v123(constB140, bitIndex0) <=> v121(constB139, bitIndex0)))),
% 9.09/6.63 inference(quant_inst,[status(thm)],[])).
% 9.09/6.63 tff(21286,plain,
% 9.09/6.63 ((~![B: $i] : ((~less_3(B)) | (v123(constB140, B) <=> v121(constB139, B)))) | (~less_3(bitIndex0)) | (v123(constB140, bitIndex0) <=> v121(constB139, bitIndex0))),
% 9.09/6.63 inference(modus_ponens,[status(thm)],[21285, 21284])).
% 9.09/6.63 tff(21287,plain,
% 9.09/6.63 (v123(constB140, bitIndex0) <=> v121(constB139, bitIndex0)),
% 9.09/6.63 inference(unit_resolution,[status(thm)],[21286, 9772, 21243])).
% 9.09/6.63 tff(21288,plain,
% 9.09/6.63 (((~![B: $i] : ((~less_3(B)) | (v121(constB139, B) <=> v124(constB139, B)))) | ((~less_3(bitIndex0)) | (v121(constB139, bitIndex0) <=> v124(constB139, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB139, B) <=> v124(constB139, B)))) | (~less_3(bitIndex0)) | (v121(constB139, bitIndex0) <=> v124(constB139, bitIndex0)))),
% 9.09/6.63 inference(rewrite,[status(thm)],[])).
% 9.09/6.63 tff(21289,plain,
% 9.09/6.63 ((~![B: $i] : ((~less_3(B)) | (v121(constB139, B) <=> v124(constB139, B)))) | ((~less_3(bitIndex0)) | (v121(constB139, bitIndex0) <=> v124(constB139, bitIndex0)))),
% 9.09/6.63 inference(quant_inst,[status(thm)],[])).
% 9.09/6.63 tff(21290,plain,
% 9.09/6.63 ((~![B: $i] : ((~less_3(B)) | (v121(constB139, B) <=> v124(constB139, B)))) | (~less_3(bitIndex0)) | (v121(constB139, bitIndex0) <=> v124(constB139, bitIndex0))),
% 9.09/6.63 inference(modus_ponens,[status(thm)],[21289, 21288])).
% 9.09/6.63 tff(21291,plain,
% 9.09/6.63 (v121(constB139, bitIndex0) <=> v124(constB139, bitIndex0)),
% 9.09/6.63 inference(unit_resolution,[status(thm)],[21290, 9772, 21251])).
% 9.09/6.63 tff(21292,plain,
% 9.09/6.63 (((~![B: $i] : ((~less_3(B)) | (v124(constB139, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v124(constB139, bitIndex0) <=> b100(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB139, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v124(constB139, bitIndex0) <=> b100(bitIndex0)))),
% 9.09/6.63 inference(rewrite,[status(thm)],[])).
% 9.09/6.63 tff(21293,plain,
% 9.09/6.63 ((~![B: $i] : ((~less_3(B)) | (v124(constB139, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v124(constB139, bitIndex0) <=> b100(bitIndex0)))),
% 9.09/6.63 inference(quant_inst,[status(thm)],[])).
% 9.09/6.63 tff(21294,plain,
% 9.09/6.63 ((~![B: $i] : ((~less_3(B)) | (v124(constB139, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v124(constB139, bitIndex0) <=> b100(bitIndex0))),
% 9.09/6.63 inference(modus_ponens,[status(thm)],[21293, 21292])).
% 9.09/6.63 tff(21295,plain,
% 9.09/6.63 (v124(constB139, bitIndex0) <=> b100(bitIndex0)),
% 9.09/6.63 inference(unit_resolution,[status(thm)],[21294, 9772, 21260])).
% 9.09/6.63 tff(21296,plain,
% 9.09/6.63 ((~(v124(constB139, bitIndex0) <=> b100(bitIndex0))) | (~v124(constB139, bitIndex0)) | b100(bitIndex0)),
% 9.09/6.63 inference(tautology,[status(thm)],[])).
% 9.09/6.63 tff(21297,plain,
% 9.09/6.63 ((~(v124(constB139, bitIndex0) <=> b100(bitIndex0))) | (~v124(constB139, bitIndex0))),
% 9.09/6.63 inference(unit_resolution,[status(thm)],[21296, 10551])).
% 9.09/6.63 tff(21298,plain,
% 9.09/6.63 (~v124(constB139, bitIndex0)),
% 9.09/6.63 inference(unit_resolution,[status(thm)],[21297, 21295])).
% 9.09/6.63 tff(21299,plain,
% 9.09/6.63 ((~(v121(constB139, bitIndex0) <=> v124(constB139, bitIndex0))) | (~v121(constB139, bitIndex0)) | v124(constB139, bitIndex0)),
% 9.09/6.63 inference(tautology,[status(thm)],[])).
% 9.09/6.63 tff(21300,plain,
% 9.09/6.63 (~v121(constB139, bitIndex0)),
% 9.09/6.63 inference(unit_resolution,[status(thm)],[21299, 21298, 21291])).
% 9.09/6.63 tff(21301,plain,
% 9.09/6.63 ((~(v123(constB140, bitIndex0) <=> v121(constB139, bitIndex0))) | (~v123(constB140, bitIndex0)) | v121(constB139, bitIndex0)),
% 9.09/6.63 inference(tautology,[status(thm)],[])).
% 9.09/6.63 tff(21302,plain,
% 9.09/6.63 (~v123(constB140, bitIndex0)),
% 9.09/6.63 inference(unit_resolution,[status(thm)],[21301, 21300, 21287])).
% 9.09/6.63 tff(21303,plain,
% 9.09/6.63 ((~(v84(constB140, bitIndex0) <=> v123(constB140, bitIndex0))) | (~v84(constB140, bitIndex0)) | v123(constB140, bitIndex0)),
% 9.09/6.63 inference(tautology,[status(thm)],[])).
% 9.09/6.63 tff(21304,plain,
% 9.09/6.63 (~v84(constB140, bitIndex0)),
% 9.09/6.63 inference(unit_resolution,[status(thm)],[21303, 21302, 21283])).
% 9.09/6.63 tff(21305,plain,
% 9.09/6.63 ((~(v84(constB141, bitIndex0) <=> v84(constB140, bitIndex0))) | (~v84(constB141, bitIndex0)) | v84(constB140, bitIndex0)),
% 9.09/6.63 inference(tautology,[status(thm)],[])).
% 9.09/6.63 tff(21306,plain,
% 9.09/6.63 (~v84(constB141, bitIndex0)),
% 9.09/6.63 inference(unit_resolution,[status(thm)],[21305, 21304, 21279])).
% 9.09/6.63 tff(21307,plain,
% 9.09/6.63 (((~![B: $i] : ((~less_3(B)) | (v84(constB141, B) <=> v84(constB140, B)))) | ((~less_3(bitIndex1)) | (v84(constB141, bitIndex1) <=> v84(constB140, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB141, B) <=> v84(constB140, B)))) | (~less_3(bitIndex1)) | (v84(constB141, bitIndex1) <=> v84(constB140, bitIndex1)))),
% 9.09/6.63 inference(rewrite,[status(thm)],[])).
% 9.09/6.63 tff(21308,plain,
% 9.09/6.63 ((~![B: $i] : ((~less_3(B)) | (v84(constB141, B) <=> v84(constB140, B)))) | ((~less_3(bitIndex1)) | (v84(constB141, bitIndex1) <=> v84(constB140, bitIndex1)))),
% 9.09/6.63 inference(quant_inst,[status(thm)],[])).
% 9.09/6.63 tff(21309,plain,
% 9.09/6.63 ((~![B: $i] : ((~less_3(B)) | (v84(constB141, B) <=> v84(constB140, B)))) | (~less_3(bitIndex1)) | (v84(constB141, bitIndex1) <=> v84(constB140, bitIndex1))),
% 9.09/6.63 inference(modus_ponens,[status(thm)],[21308, 21307])).
% 9.09/6.63 tff(21310,plain,
% 9.09/6.63 (v84(constB141, bitIndex1) <=> v84(constB140, bitIndex1)),
% 9.09/6.63 inference(unit_resolution,[status(thm)],[21309, 9785, 3367])).
% 9.09/6.63 tff(21311,plain,
% 9.09/6.63 (((~![B: $i] : ((~less_3(B)) | (v84(constB140, B) <=> v123(constB140, B)))) | ((~less_3(bitIndex1)) | (v84(constB140, bitIndex1) <=> v123(constB140, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB140, B) <=> v123(constB140, B)))) | (~less_3(bitIndex1)) | (v84(constB140, bitIndex1) <=> v123(constB140, bitIndex1)))),
% 9.09/6.63 inference(rewrite,[status(thm)],[])).
% 9.09/6.63 tff(21312,plain,
% 9.09/6.63 ((~![B: $i] : ((~less_3(B)) | (v84(constB140, B) <=> v123(constB140, B)))) | ((~less_3(bitIndex1)) | (v84(constB140, bitIndex1) <=> v123(constB140, bitIndex1)))),
% 9.09/6.63 inference(quant_inst,[status(thm)],[])).
% 9.09/6.63 tff(21313,plain,
% 9.09/6.63 ((~![B: $i] : ((~less_3(B)) | (v84(constB140, B) <=> v123(constB140, B)))) | (~less_3(bitIndex1)) | (v84(constB140, bitIndex1) <=> v123(constB140, bitIndex1))),
% 9.09/6.63 inference(modus_ponens,[status(thm)],[21312, 21311])).
% 9.09/6.63 tff(21314,plain,
% 9.09/6.63 (v84(constB140, bitIndex1) <=> v123(constB140, bitIndex1)),
% 9.09/6.63 inference(unit_resolution,[status(thm)],[21313, 9785, 21235])).
% 9.09/6.63 tff(21315,plain,
% 9.09/6.63 (((~![B: $i] : ((~less_3(B)) | (v123(constB140, B) <=> v121(constB139, B)))) | ((~less_3(bitIndex1)) | (v123(constB140, bitIndex1) <=> v121(constB139, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB140, B) <=> v121(constB139, B)))) | (~less_3(bitIndex1)) | (v123(constB140, bitIndex1) <=> v121(constB139, bitIndex1)))),
% 9.09/6.63 inference(rewrite,[status(thm)],[])).
% 9.09/6.63 tff(21316,plain,
% 9.09/6.63 ((~![B: $i] : ((~less_3(B)) | (v123(constB140, B) <=> v121(constB139, B)))) | ((~less_3(bitIndex1)) | (v123(constB140, bitIndex1) <=> v121(constB139, bitIndex1)))),
% 9.09/6.63 inference(quant_inst,[status(thm)],[])).
% 9.09/6.63 tff(21317,plain,
% 9.09/6.63 ((~![B: $i] : ((~less_3(B)) | (v123(constB140, B) <=> v121(constB139, B)))) | (~less_3(bitIndex1)) | (v123(constB140, bitIndex1) <=> v121(constB139, bitIndex1))),
% 9.09/6.63 inference(modus_ponens,[status(thm)],[21316, 21315])).
% 9.09/6.63 tff(21318,plain,
% 9.09/6.63 (v123(constB140, bitIndex1) <=> v121(constB139, bitIndex1)),
% 9.09/6.63 inference(unit_resolution,[status(thm)],[21317, 9785, 21243])).
% 9.09/6.63 tff(21319,plain,
% 9.09/6.63 (((~![B: $i] : ((~less_3(B)) | (v121(constB139, B) <=> v124(constB139, B)))) | ((~less_3(bitIndex1)) | (v121(constB139, bitIndex1) <=> v124(constB139, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB139, B) <=> v124(constB139, B)))) | (~less_3(bitIndex1)) | (v121(constB139, bitIndex1) <=> v124(constB139, bitIndex1)))),
% 9.09/6.63 inference(rewrite,[status(thm)],[])).
% 9.09/6.63 tff(21320,plain,
% 9.09/6.63 ((~![B: $i] : ((~less_3(B)) | (v121(constB139, B) <=> v124(constB139, B)))) | ((~less_3(bitIndex1)) | (v121(constB139, bitIndex1) <=> v124(constB139, bitIndex1)))),
% 9.09/6.63 inference(quant_inst,[status(thm)],[])).
% 9.09/6.63 tff(21321,plain,
% 9.09/6.63 ((~![B: $i] : ((~less_3(B)) | (v121(constB139, B) <=> v124(constB139, B)))) | (~less_3(bitIndex1)) | (v121(constB139, bitIndex1) <=> v124(constB139, bitIndex1))),
% 9.09/6.63 inference(modus_ponens,[status(thm)],[21320, 21319])).
% 9.09/6.63 tff(21322,plain,
% 9.09/6.63 (v121(constB139, bitIndex1) <=> v124(constB139, bitIndex1)),
% 9.09/6.63 inference(unit_resolution,[status(thm)],[21321, 9785, 21251])).
% 9.09/6.63 tff(21323,plain,
% 9.09/6.63 (((~![B: $i] : ((~less_3(B)) | (v124(constB139, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v124(constB139, bitIndex1) <=> b100(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB139, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v124(constB139, bitIndex1) <=> b100(bitIndex1)))),
% 9.09/6.63 inference(rewrite,[status(thm)],[])).
% 9.09/6.63 tff(21324,plain,
% 9.09/6.63 ((~![B: $i] : ((~less_3(B)) | (v124(constB139, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v124(constB139, bitIndex1) <=> b100(bitIndex1)))),
% 9.09/6.63 inference(quant_inst,[status(thm)],[])).
% 9.09/6.63 tff(21325,plain,
% 9.09/6.63 ((~![B: $i] : ((~less_3(B)) | (v124(constB139, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v124(constB139, bitIndex1) <=> b100(bitIndex1))),
% 9.09/6.63 inference(modus_ponens,[status(thm)],[21324, 21323])).
% 9.09/6.63 tff(21326,plain,
% 9.09/6.63 (v124(constB139, bitIndex1) <=> b100(bitIndex1)),
% 9.09/6.63 inference(unit_resolution,[status(thm)],[21325, 9785, 21260])).
% 9.09/6.63 tff(21327,plain,
% 9.09/6.63 ((~(v124(constB139, bitIndex1) <=> b100(bitIndex1))) | (~v124(constB139, bitIndex1)) | b100(bitIndex1)),
% 9.09/6.63 inference(tautology,[status(thm)],[])).
% 9.09/6.63 tff(21328,plain,
% 9.09/6.63 ((~(v124(constB139, bitIndex1) <=> b100(bitIndex1))) | (~v124(constB139, bitIndex1))),
% 9.09/6.63 inference(unit_resolution,[status(thm)],[21327, 10585])).
% 9.09/6.63 tff(21329,plain,
% 9.09/6.63 (~v124(constB139, bitIndex1)),
% 9.09/6.63 inference(unit_resolution,[status(thm)],[21328, 21326])).
% 9.09/6.63 tff(21330,plain,
% 9.09/6.63 ((~(v121(constB139, bitIndex1) <=> v124(constB139, bitIndex1))) | (~v121(constB139, bitIndex1)) | v124(constB139, bitIndex1)),
% 9.09/6.63 inference(tautology,[status(thm)],[])).
% 9.09/6.63 tff(21331,plain,
% 9.09/6.63 (~v121(constB139, bitIndex1)),
% 9.09/6.63 inference(unit_resolution,[status(thm)],[21330, 21329, 21322])).
% 9.09/6.63 tff(21332,plain,
% 9.09/6.63 ((~(v123(constB140, bitIndex1) <=> v121(constB139, bitIndex1))) | (~v123(constB140, bitIndex1)) | v121(constB139, bitIndex1)),
% 9.09/6.63 inference(tautology,[status(thm)],[])).
% 9.09/6.63 tff(21333,plain,
% 9.09/6.63 (~v123(constB140, bitIndex1)),
% 9.09/6.63 inference(unit_resolution,[status(thm)],[21332, 21331, 21318])).
% 9.09/6.63 tff(21334,plain,
% 9.09/6.63 ((~(v84(constB140, bitIndex1) <=> v123(constB140, bitIndex1))) | (~v84(constB140, bitIndex1)) | v123(constB140, bitIndex1)),
% 9.09/6.63 inference(tautology,[status(thm)],[])).
% 9.09/6.63 tff(21335,plain,
% 9.09/6.63 (~v84(constB140, bitIndex1)),
% 9.09/6.63 inference(unit_resolution,[status(thm)],[21334, 21333, 21314])).
% 9.09/6.63 tff(21336,plain,
% 9.09/6.63 ((~(v84(constB141, bitIndex1) <=> v84(constB140, bitIndex1))) | (~v84(constB141, bitIndex1)) | v84(constB140, bitIndex1)),
% 9.09/6.63 inference(tautology,[status(thm)],[])).
% 9.09/6.63 tff(21337,plain,
% 9.09/6.63 (~v84(constB141, bitIndex1)),
% 9.09/6.63 inference(unit_resolution,[status(thm)],[21336, 21335, 21310])).
% 9.09/6.63 tff(21338,plain,
% 9.09/6.63 ((~((~v84(constB141, bitIndex2)) | v84(constB141, bitIndex1) | v84(constB141, bitIndex0))) | (~v84(constB141, bitIndex2)) | v84(constB141, bitIndex1) | v84(constB141, bitIndex0)),
% 9.09/6.63 inference(tautology,[status(thm)],[])).
% 9.09/6.63 tff(21339,plain,
% 9.09/6.63 (~((~v84(constB141, bitIndex2)) | v84(constB141, bitIndex1) | v84(constB141, bitIndex0))),
% 9.09/6.63 inference(unit_resolution,[status(thm)],[21338, 21337, 21306, 21275])).
% 9.09/6.63 tff(21340,plain,
% 9.09/6.63 ((~(v117(constB141) <=> (~((~v84(constB141, bitIndex2)) | v84(constB141, bitIndex1) | v84(constB141, bitIndex0))))) | v117(constB141) | ((~v84(constB141, bitIndex2)) | v84(constB141, bitIndex1) | v84(constB141, bitIndex0))),
% 9.09/6.63 inference(tautology,[status(thm)],[])).
% 9.09/6.63 tff(21341,plain,
% 9.09/6.63 (v117(constB141)),
% 9.09/6.63 inference(unit_resolution,[status(thm)],[21340, 21339, 3339])).
% 9.09/6.63 tff(21342,plain,
% 9.09/6.63 ((v110(constB141) | v117(constB141)) | (~v117(constB141))),
% 9.09/6.63 inference(tautology,[status(thm)],[])).
% 9.09/6.63 tff(21343,plain,
% 9.09/6.63 (v110(constB141) | v117(constB141)),
% 9.09/6.63 inference(unit_resolution,[status(thm)],[21342, 21341])).
% 9.09/6.63 tff(21344,plain,
% 9.09/6.63 ((~(v109(constB141) <=> (v110(constB141) | v117(constB141)))) | v109(constB141) | (~(v110(constB141) | v117(constB141)))),
% 9.09/6.63 inference(tautology,[status(thm)],[])).
% 9.09/6.63 tff(21345,plain,
% 9.09/6.63 (v109(constB141)),
% 9.09/6.63 inference(unit_resolution,[status(thm)],[21344, 21343, 3332])).
% 9.09/6.63 tff(21346,plain,
% 9.09/6.63 ((v109(constB141) | v118(constB141)) | (~v109(constB141))),
% 9.09/6.63 inference(tautology,[status(thm)],[])).
% 9.09/6.63 tff(21347,plain,
% 9.09/6.63 (v109(constB141) | v118(constB141)),
% 9.09/6.63 inference(unit_resolution,[status(thm)],[21346, 21345])).
% 9.09/6.63 tff(21348,plain,
% 9.09/6.63 ((~(v108(constB141) <=> (v109(constB141) | v118(constB141)))) | v108(constB141) | (~(v109(constB141) | v118(constB141)))),
% 9.09/6.63 inference(tautology,[status(thm)],[])).
% 9.09/6.63 tff(21349,plain,
% 9.09/6.63 (v108(constB141)),
% 9.09/6.63 inference(unit_resolution,[status(thm)],[21348, 21347, 3330])).
% 9.09/6.63 tff(21350,plain,
% 9.09/6.63 ((v108(constB141) | v119(constB141)) | (~v108(constB141))),
% 9.09/6.63 inference(tautology,[status(thm)],[])).
% 9.09/6.63 tff(21351,plain,
% 9.09/6.63 (v108(constB141) | v119(constB141)),
% 9.09/6.63 inference(unit_resolution,[status(thm)],[21350, 21349])).
% 9.09/6.63 tff(21352,plain,
% 9.09/6.63 ((~(v107(constB141) <=> (v108(constB141) | v119(constB141)))) | v107(constB141) | (~(v108(constB141) | v119(constB141)))),
% 9.09/6.63 inference(tautology,[status(thm)],[])).
% 9.09/6.63 tff(21353,plain,
% 9.09/6.63 (v107(constB141)),
% 9.09/6.63 inference(unit_resolution,[status(thm)],[21352, 21351, 3328])).
% 9.09/6.63 tff(21354,plain,
% 9.09/6.63 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB141)) <=> v105(constB141))),
% 9.09/6.63 inference(quant_inst,[status(thm)],[])).
% 9.09/6.63 tff(21355,plain,
% 9.09/6.63 ((~v120(constB141)) <=> v105(constB141)),
% 9.09/6.63 inference(unit_resolution,[status(thm)],[21354, 9842])).
% 9.09/6.63 tff(21356,plain,
% 9.09/6.63 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB141) <=> v26(constB141))),
% 9.09/6.63 inference(quant_inst,[status(thm)],[])).
% 9.09/6.63 tff(21357,plain,
% 9.09/6.63 (v105(constB141) <=> v26(constB141)),
% 9.09/6.63 inference(unit_resolution,[status(thm)],[21356, 9854])).
% 9.09/6.63 tff(21358,plain,
% 9.09/6.63 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB141))),
% 9.09/6.63 inference(quant_inst,[status(thm)],[])).
% 9.09/6.63 tff(21359,plain,
% 9.09/6.63 (~v26(constB141)),
% 9.09/6.63 inference(unit_resolution,[status(thm)],[21358, 9866])).
% 9.09/6.63 tff(21360,plain,
% 9.09/6.63 ((~(v105(constB141) <=> v26(constB141))) | (~v105(constB141)) | v26(constB141)),
% 9.09/6.63 inference(tautology,[status(thm)],[])).
% 9.09/6.63 tff(21361,plain,
% 9.09/6.63 ((~(v105(constB141) <=> v26(constB141))) | (~v105(constB141))),
% 9.09/6.63 inference(unit_resolution,[status(thm)],[21360, 21359])).
% 9.09/6.63 tff(21362,plain,
% 9.09/6.63 (~v105(constB141)),
% 9.09/6.63 inference(unit_resolution,[status(thm)],[21361, 21357])).
% 9.09/6.63 tff(21363,plain,
% 9.09/6.63 ((~((~v120(constB141)) <=> v105(constB141))) | v120(constB141) | v105(constB141)),
% 9.09/6.63 inference(tautology,[status(thm)],[])).
% 9.09/6.63 tff(21364,plain,
% 9.09/6.63 ((~((~v120(constB141)) <=> v105(constB141))) | v120(constB141)),
% 9.09/6.63 inference(unit_resolution,[status(thm)],[21363, 21362])).
% 9.09/6.63 tff(21365,plain,
% 9.09/6.63 (v120(constB141)),
% 9.09/6.63 inference(unit_resolution,[status(thm)],[21364, 21355])).
% 9.09/6.63 tff(21366,plain,
% 9.09/6.63 ((~((~v107(constB141)) | (~v120(constB141)))) | (~v107(constB141)) | (~v120(constB141))),
% 9.09/6.63 inference(tautology,[status(thm)],[])).
% 9.09/6.63 tff(21367,plain,
% 9.09/6.63 ((~((~v107(constB141)) | (~v120(constB141)))) | (~v107(constB141))),
% 9.09/6.63 inference(unit_resolution,[status(thm)],[21366, 21365])).
% 9.09/6.63 tff(21368,plain,
% 9.09/6.63 (~((~v107(constB141)) | (~v120(constB141)))),
% 9.09/6.63 inference(unit_resolution,[status(thm)],[21367, 21353])).
% 9.09/6.63 tff(21369,plain,
% 9.09/6.63 ((~(v106(constB141) <=> (~((~v107(constB141)) | (~v120(constB141)))))) | v106(constB141) | ((~v107(constB141)) | (~v120(constB141)))),
% 9.09/6.63 inference(tautology,[status(thm)],[])).
% 9.09/6.63 tff(21370,plain,
% 9.09/6.63 (v106(constB141)),
% 9.09/6.63 inference(unit_resolution,[status(thm)],[21369, 21368, 3326])).
% 9.09/6.63 tff(21371,plain,
% 9.09/6.63 ((v105(constB141) | v106(constB141)) | (~v106(constB141))),
% 9.09/6.63 inference(tautology,[status(thm)],[])).
% 9.09/6.63 tff(21372,plain,
% 9.09/6.63 (v105(constB141) | v106(constB141)),
% 9.09/6.63 inference(unit_resolution,[status(thm)],[21371, 21370])).
% 9.09/6.63 tff(21373,plain,
% 9.09/6.63 ((~(v102(constB141) <=> (v105(constB141) | v106(constB141)))) | v102(constB141) | (~(v105(constB141) | v106(constB141)))),
% 9.09/6.63 inference(tautology,[status(thm)],[])).
% 9.09/6.63 tff(21374,plain,
% 9.09/6.63 (v102(constB141)),
% 9.09/6.63 inference(unit_resolution,[status(thm)],[21373, 21372, 3324])).
% 9.09/6.63 tff(21375,plain,
% 9.09/6.63 ((~(v104(constB142) <=> v102(constB141))) | v104(constB142) | (~v102(constB141))),
% 9.09/6.63 inference(tautology,[status(thm)],[])).
% 9.09/6.63 tff(21376,plain,
% 9.09/6.63 (v104(constB142)),
% 9.09/6.63 inference(unit_resolution,[status(thm)],[21375, 21374, 3322])).
% 9.09/6.63 tff(21377,plain,
% 9.09/6.63 ((~((~v104(constB142)) | (~v95(constB142)))) | (~v104(constB142)) | (~v95(constB142))),
% 9.09/6.63 inference(tautology,[status(thm)],[])).
% 9.09/6.63 tff(21378,plain,
% 9.09/6.63 (~((~v104(constB142)) | (~v95(constB142)))),
% 9.09/6.63 inference(unit_resolution,[status(thm)],[21377, 21376, 3318])).
% 9.09/6.63 tff(21379,plain,
% 9.09/6.63 ((~(v94(constB142) <=> (~((~v104(constB142)) | (~v95(constB142)))))) | v94(constB142) | ((~v104(constB142)) | (~v95(constB142)))),
% 9.09/6.63 inference(tautology,[status(thm)],[])).
% 9.09/6.63 tff(21380,plain,
% 9.09/6.63 (v94(constB142)),
% 9.09/6.63 inference(unit_resolution,[status(thm)],[21379, 21378, 3287])).
% 9.09/6.63 tff(21381,plain,
% 9.09/6.63 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB142)) | ![B: $i] : ((~less_3(B)) | (v84(constB142, B) <=> v123(constB142, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB142)) | ![B: $i] : ((~less_3(B)) | (v84(constB142, B) <=> v123(constB142, B))))),
% 9.09/6.63 inference(rewrite,[status(thm)],[])).
% 9.09/6.63 tff(21382,plain,
% 9.09/6.63 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB142)) | ![B: $i] : ((~less_3(B)) | (v84(constB142, B) <=> v123(constB142, B))))),
% 9.09/6.63 inference(quant_inst,[status(thm)],[])).
% 9.09/6.63 tff(21383,plain,
% 9.09/6.63 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB142)) | ![B: $i] : ((~less_3(B)) | (v84(constB142, B) <=> v123(constB142, B)))),
% 9.09/6.63 inference(modus_ponens,[status(thm)],[21382, 21381])).
% 9.09/6.63 tff(21384,plain,
% 9.09/6.63 ((~v94(constB142)) | ![B: $i] : ((~less_3(B)) | (v84(constB142, B) <=> v123(constB142, B)))),
% 9.09/6.63 inference(unit_resolution,[status(thm)],[21383, 9902])).
% 9.09/6.63 tff(21385,plain,
% 9.09/6.63 (![B: $i] : ((~less_3(B)) | (v84(constB142, B) <=> v123(constB142, B)))),
% 9.09/6.63 inference(unit_resolution,[status(thm)],[21384, 21380])).
% 9.09/6.63 tff(21386,plain,
% 9.09/6.63 (((~![B: $i] : ((~less_3(B)) | (v84(constB142, B) <=> v123(constB142, B)))) | ((~less_3(bitIndex2)) | (v84(constB142, bitIndex2) <=> v123(constB142, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB142, B) <=> v123(constB142, B)))) | (~less_3(bitIndex2)) | (v84(constB142, bitIndex2) <=> v123(constB142, bitIndex2)))),
% 9.09/6.63 inference(rewrite,[status(thm)],[])).
% 9.09/6.63 tff(21387,plain,
% 9.09/6.63 ((~![B: $i] : ((~less_3(B)) | (v84(constB142, B) <=> v123(constB142, B)))) | ((~less_3(bitIndex2)) | (v84(constB142, bitIndex2) <=> v123(constB142, bitIndex2)))),
% 9.09/6.63 inference(quant_inst,[status(thm)],[])).
% 9.09/6.63 tff(21388,plain,
% 9.09/6.63 ((~![B: $i] : ((~less_3(B)) | (v84(constB142, B) <=> v123(constB142, B)))) | (~less_3(bitIndex2)) | (v84(constB142, bitIndex2) <=> v123(constB142, bitIndex2))),
% 9.09/6.63 inference(modus_ponens,[status(thm)],[21387, 21386])).
% 9.09/6.63 tff(21389,plain,
% 9.09/6.63 (v84(constB142, bitIndex2) <=> v123(constB142, bitIndex2)),
% 9.09/6.63 inference(unit_resolution,[status(thm)],[21388, 832, 21385])).
% 9.09/6.63 tff(21390,plain,
% 9.09/6.63 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB141, constB142)) | ![B: $i] : ((~less_3(B)) | (v123(constB142, B) <=> v121(constB141, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB141, constB142)) | ![B: $i] : ((~less_3(B)) | (v123(constB142, B) <=> v121(constB141, B))))),
% 9.09/6.63 inference(rewrite,[status(thm)],[])).
% 9.09/6.63 tff(21391,plain,
% 9.09/6.63 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB141, constB142)) | ![B: $i] : ((~less_3(B)) | (v123(constB142, B) <=> v121(constB141, B))))),
% 9.09/6.63 inference(quant_inst,[status(thm)],[])).
% 9.09/6.63 tff(21392,plain,
% 9.09/6.63 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB141, constB142)) | ![B: $i] : ((~less_3(B)) | (v123(constB142, B) <=> v121(constB141, B)))),
% 9.09/6.63 inference(modus_ponens,[status(thm)],[21391, 21390])).
% 9.09/6.63 tff(21393,plain,
% 9.09/6.63 (![B: $i] : ((~less_3(B)) | (v123(constB142, B) <=> v121(constB141, B)))),
% 9.09/6.63 inference(unit_resolution,[status(thm)],[21392, 3283, 9924])).
% 9.09/6.63 tff(21394,plain,
% 9.09/6.63 (((~![B: $i] : ((~less_3(B)) | (v123(constB142, B) <=> v121(constB141, B)))) | ((~less_3(bitIndex2)) | (v123(constB142, bitIndex2) <=> v121(constB141, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB142, B) <=> v121(constB141, B)))) | (~less_3(bitIndex2)) | (v123(constB142, bitIndex2) <=> v121(constB141, bitIndex2)))),
% 9.09/6.63 inference(rewrite,[status(thm)],[])).
% 9.09/6.63 tff(21395,plain,
% 9.09/6.63 ((~![B: $i] : ((~less_3(B)) | (v123(constB142, B) <=> v121(constB141, B)))) | ((~less_3(bitIndex2)) | (v123(constB142, bitIndex2) <=> v121(constB141, bitIndex2)))),
% 9.09/6.63 inference(quant_inst,[status(thm)],[])).
% 9.09/6.63 tff(21396,plain,
% 9.09/6.63 ((~![B: $i] : ((~less_3(B)) | (v123(constB142, B) <=> v121(constB141, B)))) | (~less_3(bitIndex2)) | (v123(constB142, bitIndex2) <=> v121(constB141, bitIndex2))),
% 9.09/6.63 inference(modus_ponens,[status(thm)],[21395, 21394])).
% 9.09/6.63 tff(21397,plain,
% 9.09/6.63 (v123(constB142, bitIndex2) <=> v121(constB141, bitIndex2)),
% 9.09/6.63 inference(unit_resolution,[status(thm)],[21396, 832, 21393])).
% 9.09/6.63 tff(21398,plain,
% 9.09/6.63 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB141) | ![B: $i] : ((~less_3(B)) | (v121(constB141, B) <=> v124(constB141, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB141) | ![B: $i] : ((~less_3(B)) | (v121(constB141, B) <=> v124(constB141, B))))),
% 9.09/6.63 inference(rewrite,[status(thm)],[])).
% 9.09/6.63 tff(21399,plain,
% 9.09/6.63 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB141) | ![B: $i] : ((~less_3(B)) | (v121(constB141, B) <=> v124(constB141, B))))),
% 9.09/6.63 inference(quant_inst,[status(thm)],[])).
% 9.09/6.63 tff(21400,plain,
% 9.09/6.63 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB141) | ![B: $i] : ((~less_3(B)) | (v121(constB141, B) <=> v124(constB141, B)))),
% 9.09/6.63 inference(modus_ponens,[status(thm)],[21399, 21398])).
% 9.09/6.63 tff(21401,plain,
% 9.09/6.63 (![B: $i] : ((~less_3(B)) | (v121(constB141, B) <=> v124(constB141, B)))),
% 9.09/6.63 inference(unit_resolution,[status(thm)],[21400, 9945, 21362])).
% 9.09/6.63 tff(21402,plain,
% 9.09/6.63 (((~![B: $i] : ((~less_3(B)) | (v121(constB141, B) <=> v124(constB141, B)))) | ((~less_3(bitIndex2)) | (v121(constB141, bitIndex2) <=> v124(constB141, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB141, B) <=> v124(constB141, B)))) | (~less_3(bitIndex2)) | (v121(constB141, bitIndex2) <=> v124(constB141, bitIndex2)))),
% 9.09/6.63 inference(rewrite,[status(thm)],[])).
% 9.09/6.63 tff(21403,plain,
% 9.09/6.63 ((~![B: $i] : ((~less_3(B)) | (v121(constB141, B) <=> v124(constB141, B)))) | ((~less_3(bitIndex2)) | (v121(constB141, bitIndex2) <=> v124(constB141, bitIndex2)))),
% 9.09/6.63 inference(quant_inst,[status(thm)],[])).
% 9.09/6.63 tff(21404,plain,
% 9.09/6.63 ((~![B: $i] : ((~less_3(B)) | (v121(constB141, B) <=> v124(constB141, B)))) | (~less_3(bitIndex2)) | (v121(constB141, bitIndex2) <=> v124(constB141, bitIndex2))),
% 9.09/6.63 inference(modus_ponens,[status(thm)],[21403, 21402])).
% 9.09/6.63 tff(21405,plain,
% 9.09/6.63 (v121(constB141, bitIndex2) <=> v124(constB141, bitIndex2)),
% 9.09/6.63 inference(unit_resolution,[status(thm)],[21404, 832, 21401])).
% 9.09/6.63 tff(21406,plain,
% 9.09/6.63 (((~![VarCurr: $i] : ((~v117(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b101(B))))) | ((~v117(constB141)) | ![B: $i] : ((~less_3(B)) | (v124(constB141, B) <=> b101(B))))) <=> ((~![VarCurr: $i] : ((~v117(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b101(B))))) | (~v117(constB141)) | ![B: $i] : ((~less_3(B)) | (v124(constB141, B) <=> b101(B))))),
% 9.09/6.63 inference(rewrite,[status(thm)],[])).
% 9.09/6.63 tff(21407,plain,
% 9.09/6.63 ((~![VarCurr: $i] : ((~v117(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b101(B))))) | ((~v117(constB141)) | ![B: $i] : ((~less_3(B)) | (v124(constB141, B) <=> b101(B))))),
% 9.09/6.63 inference(quant_inst,[status(thm)],[])).
% 9.09/6.63 tff(21408,plain,
% 9.09/6.63 ((~![VarCurr: $i] : ((~v117(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b101(B))))) | (~v117(constB141)) | ![B: $i] : ((~less_3(B)) | (v124(constB141, B) <=> b101(B)))),
% 9.09/6.63 inference(modus_ponens,[status(thm)],[21407, 21406])).
% 9.09/6.63 tff(21409,plain,
% 9.09/6.63 ((~v117(constB141)) | ![B: $i] : ((~less_3(B)) | (v124(constB141, B) <=> b101(B)))),
% 9.09/6.63 inference(unit_resolution,[status(thm)],[21408, 10677])).
% 9.09/6.63 tff(21410,plain,
% 9.09/6.63 (![B: $i] : ((~less_3(B)) | (v124(constB141, B) <=> b101(B)))),
% 9.09/6.63 inference(unit_resolution,[status(thm)],[21409, 21341])).
% 9.09/6.63 tff(21411,plain,
% 9.09/6.63 (((~![B: $i] : ((~less_3(B)) | (v124(constB141, B) <=> b101(B)))) | ((~less_3(bitIndex2)) | (v124(constB141, bitIndex2) <=> b101(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB141, B) <=> b101(B)))) | (~less_3(bitIndex2)) | (v124(constB141, bitIndex2) <=> b101(bitIndex2)))),
% 9.09/6.63 inference(rewrite,[status(thm)],[])).
% 9.09/6.63 tff(21412,plain,
% 9.09/6.63 ((~![B: $i] : ((~less_3(B)) | (v124(constB141, B) <=> b101(B)))) | ((~less_3(bitIndex2)) | (v124(constB141, bitIndex2) <=> b101(bitIndex2)))),
% 9.09/6.63 inference(quant_inst,[status(thm)],[])).
% 9.09/6.63 tff(21413,plain,
% 9.09/6.63 ((~![B: $i] : ((~less_3(B)) | (v124(constB141, B) <=> b101(B)))) | (~less_3(bitIndex2)) | (v124(constB141, bitIndex2) <=> b101(bitIndex2))),
% 9.09/6.63 inference(modus_ponens,[status(thm)],[21412, 21411])).
% 9.09/6.63 tff(21414,plain,
% 9.09/6.63 (v124(constB141, bitIndex2) <=> b101(bitIndex2)),
% 9.09/6.63 inference(unit_resolution,[status(thm)],[21413, 832, 21410])).
% 9.09/6.63 tff(21415,plain,
% 9.09/6.63 ((~(v124(constB141, bitIndex2) <=> b101(bitIndex2))) | v124(constB141, bitIndex2) | (~b101(bitIndex2))),
% 9.09/6.63 inference(tautology,[status(thm)],[])).
% 9.09/6.63 tff(21416,plain,
% 9.09/6.63 ((~(v124(constB141, bitIndex2) <=> b101(bitIndex2))) | v124(constB141, bitIndex2)),
% 9.09/6.63 inference(unit_resolution,[status(thm)],[21415, 10689])).
% 9.09/6.63 tff(21417,plain,
% 9.09/6.63 (v124(constB141, bitIndex2)),
% 9.09/6.63 inference(unit_resolution,[status(thm)],[21416, 21414])).
% 9.09/6.63 tff(21418,plain,
% 9.09/6.63 ((~(v121(constB141, bitIndex2) <=> v124(constB141, bitIndex2))) | v121(constB141, bitIndex2) | (~v124(constB141, bitIndex2))),
% 9.09/6.63 inference(tautology,[status(thm)],[])).
% 9.09/6.63 tff(21419,plain,
% 9.09/6.63 (v121(constB141, bitIndex2)),
% 9.09/6.63 inference(unit_resolution,[status(thm)],[21418, 21417, 21405])).
% 9.09/6.63 tff(21420,plain,
% 9.09/6.63 ((~(v123(constB142, bitIndex2) <=> v121(constB141, bitIndex2))) | v123(constB142, bitIndex2) | (~v121(constB141, bitIndex2))),
% 9.09/6.63 inference(tautology,[status(thm)],[])).
% 9.09/6.63 tff(21421,plain,
% 9.09/6.63 (v123(constB142, bitIndex2)),
% 9.09/6.63 inference(unit_resolution,[status(thm)],[21420, 21419, 21397])).
% 9.09/6.63 tff(21422,plain,
% 9.09/6.63 ((~(v84(constB142, bitIndex2) <=> v123(constB142, bitIndex2))) | v84(constB142, bitIndex2) | (~v123(constB142, bitIndex2))),
% 9.09/6.63 inference(tautology,[status(thm)],[])).
% 9.09/6.63 tff(21423,plain,
% 9.09/6.63 (v84(constB142, bitIndex2)),
% 9.09/6.63 inference(unit_resolution,[status(thm)],[21422, 21421, 21389])).
% 9.09/6.63 tff(21424,plain,
% 9.09/6.63 ((~(v84(constB143, bitIndex2) <=> v84(constB142, bitIndex2))) | v84(constB143, bitIndex2) | (~v84(constB142, bitIndex2))),
% 9.09/6.63 inference(tautology,[status(thm)],[])).
% 9.09/6.63 tff(21425,plain,
% 9.09/6.63 (v84(constB143, bitIndex2)),
% 9.09/6.63 inference(unit_resolution,[status(thm)],[21424, 21423, 3280])).
% 9.09/6.63 tff(21426,plain,
% 9.09/6.63 (((~![B: $i] : ((~less_3(B)) | (v84(constB143, B) <=> v84(constB142, B)))) | ((~less_3(bitIndex0)) | (v84(constB143, bitIndex0) <=> v84(constB142, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB143, B) <=> v84(constB142, B)))) | (~less_3(bitIndex0)) | (v84(constB143, bitIndex0) <=> v84(constB142, bitIndex0)))),
% 9.09/6.63 inference(rewrite,[status(thm)],[])).
% 9.09/6.63 tff(21427,plain,
% 9.09/6.63 ((~![B: $i] : ((~less_3(B)) | (v84(constB143, B) <=> v84(constB142, B)))) | ((~less_3(bitIndex0)) | (v84(constB143, bitIndex0) <=> v84(constB142, bitIndex0)))),
% 9.09/6.63 inference(quant_inst,[status(thm)],[])).
% 9.09/6.63 tff(21428,plain,
% 9.09/6.63 ((~![B: $i] : ((~less_3(B)) | (v84(constB143, B) <=> v84(constB142, B)))) | (~less_3(bitIndex0)) | (v84(constB143, bitIndex0) <=> v84(constB142, bitIndex0))),
% 9.09/6.63 inference(modus_ponens,[status(thm)],[21427, 21426])).
% 9.09/6.63 tff(21429,plain,
% 9.09/6.63 (v84(constB143, bitIndex0) <=> v84(constB142, bitIndex0)),
% 9.09/6.63 inference(unit_resolution,[status(thm)],[21428, 9772, 3276])).
% 9.09/6.63 tff(21430,plain,
% 9.09/6.63 (((~![B: $i] : ((~less_3(B)) | (v84(constB142, B) <=> v123(constB142, B)))) | ((~less_3(bitIndex0)) | (v84(constB142, bitIndex0) <=> v123(constB142, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB142, B) <=> v123(constB142, B)))) | (~less_3(bitIndex0)) | (v84(constB142, bitIndex0) <=> v123(constB142, bitIndex0)))),
% 9.09/6.63 inference(rewrite,[status(thm)],[])).
% 9.09/6.63 tff(21431,plain,
% 9.09/6.63 ((~![B: $i] : ((~less_3(B)) | (v84(constB142, B) <=> v123(constB142, B)))) | ((~less_3(bitIndex0)) | (v84(constB142, bitIndex0) <=> v123(constB142, bitIndex0)))),
% 9.09/6.63 inference(quant_inst,[status(thm)],[])).
% 9.09/6.63 tff(21432,plain,
% 9.09/6.63 ((~![B: $i] : ((~less_3(B)) | (v84(constB142, B) <=> v123(constB142, B)))) | (~less_3(bitIndex0)) | (v84(constB142, bitIndex0) <=> v123(constB142, bitIndex0))),
% 9.09/6.63 inference(modus_ponens,[status(thm)],[21431, 21430])).
% 9.09/6.63 tff(21433,plain,
% 9.09/6.63 (v84(constB142, bitIndex0) <=> v123(constB142, bitIndex0)),
% 9.09/6.63 inference(unit_resolution,[status(thm)],[21432, 9772, 21385])).
% 9.09/6.63 tff(21434,plain,
% 9.09/6.63 (((~![B: $i] : ((~less_3(B)) | (v123(constB142, B) <=> v121(constB141, B)))) | ((~less_3(bitIndex0)) | (v123(constB142, bitIndex0) <=> v121(constB141, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB142, B) <=> v121(constB141, B)))) | (~less_3(bitIndex0)) | (v123(constB142, bitIndex0) <=> v121(constB141, bitIndex0)))),
% 9.09/6.63 inference(rewrite,[status(thm)],[])).
% 9.09/6.63 tff(21435,plain,
% 9.09/6.63 ((~![B: $i] : ((~less_3(B)) | (v123(constB142, B) <=> v121(constB141, B)))) | ((~less_3(bitIndex0)) | (v123(constB142, bitIndex0) <=> v121(constB141, bitIndex0)))),
% 9.09/6.63 inference(quant_inst,[status(thm)],[])).
% 9.09/6.64 tff(21436,plain,
% 9.09/6.64 ((~![B: $i] : ((~less_3(B)) | (v123(constB142, B) <=> v121(constB141, B)))) | (~less_3(bitIndex0)) | (v123(constB142, bitIndex0) <=> v121(constB141, bitIndex0))),
% 9.09/6.64 inference(modus_ponens,[status(thm)],[21435, 21434])).
% 9.09/6.64 tff(21437,plain,
% 9.09/6.64 (v123(constB142, bitIndex0) <=> v121(constB141, bitIndex0)),
% 9.09/6.64 inference(unit_resolution,[status(thm)],[21436, 9772, 21393])).
% 9.09/6.64 tff(21438,plain,
% 9.09/6.64 (((~![B: $i] : ((~less_3(B)) | (v121(constB141, B) <=> v124(constB141, B)))) | ((~less_3(bitIndex0)) | (v121(constB141, bitIndex0) <=> v124(constB141, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB141, B) <=> v124(constB141, B)))) | (~less_3(bitIndex0)) | (v121(constB141, bitIndex0) <=> v124(constB141, bitIndex0)))),
% 9.09/6.64 inference(rewrite,[status(thm)],[])).
% 9.09/6.64 tff(21439,plain,
% 9.09/6.64 ((~![B: $i] : ((~less_3(B)) | (v121(constB141, B) <=> v124(constB141, B)))) | ((~less_3(bitIndex0)) | (v121(constB141, bitIndex0) <=> v124(constB141, bitIndex0)))),
% 9.09/6.64 inference(quant_inst,[status(thm)],[])).
% 9.09/6.64 tff(21440,plain,
% 9.09/6.64 ((~![B: $i] : ((~less_3(B)) | (v121(constB141, B) <=> v124(constB141, B)))) | (~less_3(bitIndex0)) | (v121(constB141, bitIndex0) <=> v124(constB141, bitIndex0))),
% 9.09/6.64 inference(modus_ponens,[status(thm)],[21439, 21438])).
% 9.09/6.64 tff(21441,plain,
% 9.09/6.64 (v121(constB141, bitIndex0) <=> v124(constB141, bitIndex0)),
% 9.09/6.64 inference(unit_resolution,[status(thm)],[21440, 9772, 21401])).
% 9.09/6.64 tff(21442,plain,
% 9.09/6.64 (((~![B: $i] : ((~less_3(B)) | (v124(constB141, B) <=> b101(B)))) | ((~less_3(bitIndex0)) | (v124(constB141, bitIndex0) <=> b101(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB141, B) <=> b101(B)))) | (~less_3(bitIndex0)) | (v124(constB141, bitIndex0) <=> b101(bitIndex0)))),
% 9.09/6.64 inference(rewrite,[status(thm)],[])).
% 9.09/6.64 tff(21443,plain,
% 9.09/6.64 ((~![B: $i] : ((~less_3(B)) | (v124(constB141, B) <=> b101(B)))) | ((~less_3(bitIndex0)) | (v124(constB141, bitIndex0) <=> b101(bitIndex0)))),
% 9.09/6.64 inference(quant_inst,[status(thm)],[])).
% 9.09/6.64 tff(21444,plain,
% 9.09/6.64 ((~![B: $i] : ((~less_3(B)) | (v124(constB141, B) <=> b101(B)))) | (~less_3(bitIndex0)) | (v124(constB141, bitIndex0) <=> b101(bitIndex0))),
% 9.09/6.64 inference(modus_ponens,[status(thm)],[21443, 21442])).
% 9.09/6.64 tff(21445,plain,
% 9.09/6.64 (v124(constB141, bitIndex0) <=> b101(bitIndex0)),
% 9.09/6.64 inference(unit_resolution,[status(thm)],[21444, 9772, 21410])).
% 9.09/6.64 tff(21446,plain,
% 9.09/6.64 ((~(v124(constB141, bitIndex0) <=> b101(bitIndex0))) | v124(constB141, bitIndex0) | (~b101(bitIndex0))),
% 9.09/6.64 inference(tautology,[status(thm)],[])).
% 9.09/6.64 tff(21447,plain,
% 9.09/6.64 ((~(v124(constB141, bitIndex0) <=> b101(bitIndex0))) | v124(constB141, bitIndex0)),
% 9.09/6.64 inference(unit_resolution,[status(thm)],[21446, 10723])).
% 9.09/6.64 tff(21448,plain,
% 9.09/6.64 (v124(constB141, bitIndex0)),
% 9.09/6.64 inference(unit_resolution,[status(thm)],[21447, 21445])).
% 9.09/6.64 tff(21449,plain,
% 9.09/6.64 ((~(v121(constB141, bitIndex0) <=> v124(constB141, bitIndex0))) | v121(constB141, bitIndex0) | (~v124(constB141, bitIndex0))),
% 9.09/6.64 inference(tautology,[status(thm)],[])).
% 9.09/6.64 tff(21450,plain,
% 9.09/6.64 (v121(constB141, bitIndex0)),
% 9.09/6.64 inference(unit_resolution,[status(thm)],[21449, 21448, 21441])).
% 9.09/6.64 tff(21451,plain,
% 9.09/6.64 ((~(v123(constB142, bitIndex0) <=> v121(constB141, bitIndex0))) | v123(constB142, bitIndex0) | (~v121(constB141, bitIndex0))),
% 9.09/6.64 inference(tautology,[status(thm)],[])).
% 9.09/6.64 tff(21452,plain,
% 9.09/6.64 (v123(constB142, bitIndex0)),
% 9.09/6.64 inference(unit_resolution,[status(thm)],[21451, 21450, 21437])).
% 9.09/6.64 tff(21453,plain,
% 9.09/6.64 ((~(v84(constB142, bitIndex0) <=> v123(constB142, bitIndex0))) | v84(constB142, bitIndex0) | (~v123(constB142, bitIndex0))),
% 9.09/6.64 inference(tautology,[status(thm)],[])).
% 9.09/6.64 tff(21454,plain,
% 9.09/6.64 (v84(constB142, bitIndex0)),
% 9.09/6.64 inference(unit_resolution,[status(thm)],[21453, 21452, 21433])).
% 9.09/6.64 tff(21455,plain,
% 9.09/6.64 ((~(v84(constB143, bitIndex0) <=> v84(constB142, bitIndex0))) | v84(constB143, bitIndex0) | (~v84(constB142, bitIndex0))),
% 9.09/6.64 inference(tautology,[status(thm)],[])).
% 9.09/6.64 tff(21456,plain,
% 9.09/6.64 (v84(constB143, bitIndex0)),
% 9.09/6.64 inference(unit_resolution,[status(thm)],[21455, 21454, 21429])).
% 9.09/6.64 tff(21457,plain,
% 9.09/6.64 (((~![B: $i] : ((~less_3(B)) | (v84(constB143, B) <=> v84(constB142, B)))) | ((~less_3(bitIndex1)) | (v84(constB143, bitIndex1) <=> v84(constB142, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB143, B) <=> v84(constB142, B)))) | (~less_3(bitIndex1)) | (v84(constB143, bitIndex1) <=> v84(constB142, bitIndex1)))),
% 9.09/6.64 inference(rewrite,[status(thm)],[])).
% 9.09/6.64 tff(21458,plain,
% 9.09/6.64 ((~![B: $i] : ((~less_3(B)) | (v84(constB143, B) <=> v84(constB142, B)))) | ((~less_3(bitIndex1)) | (v84(constB143, bitIndex1) <=> v84(constB142, bitIndex1)))),
% 9.09/6.64 inference(quant_inst,[status(thm)],[])).
% 9.09/6.64 tff(21459,plain,
% 9.09/6.64 ((~![B: $i] : ((~less_3(B)) | (v84(constB143, B) <=> v84(constB142, B)))) | (~less_3(bitIndex1)) | (v84(constB143, bitIndex1) <=> v84(constB142, bitIndex1))),
% 9.09/6.64 inference(modus_ponens,[status(thm)],[21458, 21457])).
% 9.09/6.64 tff(21460,plain,
% 9.09/6.64 (v84(constB143, bitIndex1) <=> v84(constB142, bitIndex1)),
% 9.09/6.64 inference(unit_resolution,[status(thm)],[21459, 9785, 3276])).
% 9.09/6.64 tff(21461,plain,
% 9.09/6.64 (((~![B: $i] : ((~less_3(B)) | (v84(constB142, B) <=> v123(constB142, B)))) | ((~less_3(bitIndex1)) | (v84(constB142, bitIndex1) <=> v123(constB142, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB142, B) <=> v123(constB142, B)))) | (~less_3(bitIndex1)) | (v84(constB142, bitIndex1) <=> v123(constB142, bitIndex1)))),
% 9.09/6.64 inference(rewrite,[status(thm)],[])).
% 9.09/6.64 tff(21462,plain,
% 9.09/6.64 ((~![B: $i] : ((~less_3(B)) | (v84(constB142, B) <=> v123(constB142, B)))) | ((~less_3(bitIndex1)) | (v84(constB142, bitIndex1) <=> v123(constB142, bitIndex1)))),
% 9.09/6.64 inference(quant_inst,[status(thm)],[])).
% 9.09/6.64 tff(21463,plain,
% 9.09/6.64 ((~![B: $i] : ((~less_3(B)) | (v84(constB142, B) <=> v123(constB142, B)))) | (~less_3(bitIndex1)) | (v84(constB142, bitIndex1) <=> v123(constB142, bitIndex1))),
% 9.09/6.64 inference(modus_ponens,[status(thm)],[21462, 21461])).
% 9.09/6.64 tff(21464,plain,
% 9.09/6.64 (v84(constB142, bitIndex1) <=> v123(constB142, bitIndex1)),
% 9.09/6.64 inference(unit_resolution,[status(thm)],[21463, 9785, 21385])).
% 9.09/6.64 tff(21465,plain,
% 9.09/6.64 (((~![B: $i] : ((~less_3(B)) | (v123(constB142, B) <=> v121(constB141, B)))) | ((~less_3(bitIndex1)) | (v123(constB142, bitIndex1) <=> v121(constB141, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB142, B) <=> v121(constB141, B)))) | (~less_3(bitIndex1)) | (v123(constB142, bitIndex1) <=> v121(constB141, bitIndex1)))),
% 9.09/6.64 inference(rewrite,[status(thm)],[])).
% 9.09/6.64 tff(21466,plain,
% 9.09/6.64 ((~![B: $i] : ((~less_3(B)) | (v123(constB142, B) <=> v121(constB141, B)))) | ((~less_3(bitIndex1)) | (v123(constB142, bitIndex1) <=> v121(constB141, bitIndex1)))),
% 9.09/6.64 inference(quant_inst,[status(thm)],[])).
% 9.09/6.64 tff(21467,plain,
% 9.09/6.64 ((~![B: $i] : ((~less_3(B)) | (v123(constB142, B) <=> v121(constB141, B)))) | (~less_3(bitIndex1)) | (v123(constB142, bitIndex1) <=> v121(constB141, bitIndex1))),
% 9.09/6.64 inference(modus_ponens,[status(thm)],[21466, 21465])).
% 9.09/6.64 tff(21468,plain,
% 9.09/6.64 (v123(constB142, bitIndex1) <=> v121(constB141, bitIndex1)),
% 9.09/6.64 inference(unit_resolution,[status(thm)],[21467, 9785, 21393])).
% 9.09/6.64 tff(21469,plain,
% 9.09/6.64 (((~![B: $i] : ((~less_3(B)) | (v121(constB141, B) <=> v124(constB141, B)))) | ((~less_3(bitIndex1)) | (v121(constB141, bitIndex1) <=> v124(constB141, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB141, B) <=> v124(constB141, B)))) | (~less_3(bitIndex1)) | (v121(constB141, bitIndex1) <=> v124(constB141, bitIndex1)))),
% 9.09/6.64 inference(rewrite,[status(thm)],[])).
% 9.09/6.64 tff(21470,plain,
% 9.09/6.64 ((~![B: $i] : ((~less_3(B)) | (v121(constB141, B) <=> v124(constB141, B)))) | ((~less_3(bitIndex1)) | (v121(constB141, bitIndex1) <=> v124(constB141, bitIndex1)))),
% 9.09/6.64 inference(quant_inst,[status(thm)],[])).
% 9.09/6.64 tff(21471,plain,
% 9.09/6.64 ((~![B: $i] : ((~less_3(B)) | (v121(constB141, B) <=> v124(constB141, B)))) | (~less_3(bitIndex1)) | (v121(constB141, bitIndex1) <=> v124(constB141, bitIndex1))),
% 9.09/6.64 inference(modus_ponens,[status(thm)],[21470, 21469])).
% 9.09/6.64 tff(21472,plain,
% 9.09/6.64 (v121(constB141, bitIndex1) <=> v124(constB141, bitIndex1)),
% 9.09/6.64 inference(unit_resolution,[status(thm)],[21471, 9785, 21401])).
% 9.09/6.64 tff(21473,plain,
% 9.09/6.64 (((~![B: $i] : ((~less_3(B)) | (v124(constB141, B) <=> b101(B)))) | ((~less_3(bitIndex1)) | (v124(constB141, bitIndex1) <=> b101(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB141, B) <=> b101(B)))) | (~less_3(bitIndex1)) | (v124(constB141, bitIndex1) <=> b101(bitIndex1)))),
% 9.09/6.64 inference(rewrite,[status(thm)],[])).
% 9.09/6.64 tff(21474,plain,
% 9.09/6.64 ((~![B: $i] : ((~less_3(B)) | (v124(constB141, B) <=> b101(B)))) | ((~less_3(bitIndex1)) | (v124(constB141, bitIndex1) <=> b101(bitIndex1)))),
% 9.09/6.64 inference(quant_inst,[status(thm)],[])).
% 9.09/6.64 tff(21475,plain,
% 9.09/6.64 ((~![B: $i] : ((~less_3(B)) | (v124(constB141, B) <=> b101(B)))) | (~less_3(bitIndex1)) | (v124(constB141, bitIndex1) <=> b101(bitIndex1))),
% 9.09/6.64 inference(modus_ponens,[status(thm)],[21474, 21473])).
% 9.09/6.64 tff(21476,plain,
% 9.09/6.64 (v124(constB141, bitIndex1) <=> b101(bitIndex1)),
% 9.09/6.64 inference(unit_resolution,[status(thm)],[21475, 9785, 21410])).
% 9.09/6.64 tff(21477,plain,
% 9.09/6.64 ((~(v124(constB141, bitIndex1) <=> b101(bitIndex1))) | (~v124(constB141, bitIndex1)) | b101(bitIndex1)),
% 9.09/6.64 inference(tautology,[status(thm)],[])).
% 9.09/6.64 tff(21478,plain,
% 9.09/6.64 ((~(v124(constB141, bitIndex1) <=> b101(bitIndex1))) | (~v124(constB141, bitIndex1))),
% 9.09/6.64 inference(unit_resolution,[status(thm)],[21477, 10757])).
% 9.09/6.64 tff(21479,plain,
% 9.09/6.64 (~v124(constB141, bitIndex1)),
% 9.09/6.64 inference(unit_resolution,[status(thm)],[21478, 21476])).
% 9.09/6.64 tff(21480,plain,
% 9.09/6.64 ((~(v121(constB141, bitIndex1) <=> v124(constB141, bitIndex1))) | (~v121(constB141, bitIndex1)) | v124(constB141, bitIndex1)),
% 9.09/6.64 inference(tautology,[status(thm)],[])).
% 9.09/6.64 tff(21481,plain,
% 9.09/6.64 (~v121(constB141, bitIndex1)),
% 9.09/6.64 inference(unit_resolution,[status(thm)],[21480, 21479, 21472])).
% 9.09/6.64 tff(21482,plain,
% 9.09/6.64 ((~(v123(constB142, bitIndex1) <=> v121(constB141, bitIndex1))) | (~v123(constB142, bitIndex1)) | v121(constB141, bitIndex1)),
% 9.09/6.64 inference(tautology,[status(thm)],[])).
% 9.09/6.64 tff(21483,plain,
% 9.09/6.64 (~v123(constB142, bitIndex1)),
% 9.09/6.64 inference(unit_resolution,[status(thm)],[21482, 21481, 21468])).
% 9.09/6.64 tff(21484,plain,
% 9.09/6.64 ((~(v84(constB142, bitIndex1) <=> v123(constB142, bitIndex1))) | (~v84(constB142, bitIndex1)) | v123(constB142, bitIndex1)),
% 9.09/6.64 inference(tautology,[status(thm)],[])).
% 9.09/6.64 tff(21485,plain,
% 9.09/6.64 (~v84(constB142, bitIndex1)),
% 9.09/6.64 inference(unit_resolution,[status(thm)],[21484, 21483, 21464])).
% 9.09/6.64 tff(21486,plain,
% 9.09/6.64 ((~(v84(constB143, bitIndex1) <=> v84(constB142, bitIndex1))) | (~v84(constB143, bitIndex1)) | v84(constB142, bitIndex1)),
% 9.09/6.64 inference(tautology,[status(thm)],[])).
% 9.09/6.64 tff(21487,plain,
% 9.09/6.64 (~v84(constB143, bitIndex1)),
% 9.09/6.64 inference(unit_resolution,[status(thm)],[21486, 21485, 21460])).
% 9.09/6.64 tff(21488,plain,
% 9.09/6.64 ((~((~v84(constB143, bitIndex2)) | v84(constB143, bitIndex1) | (~v84(constB143, bitIndex0)))) | (~v84(constB143, bitIndex2)) | v84(constB143, bitIndex1) | (~v84(constB143, bitIndex0))),
% 9.09/6.64 inference(tautology,[status(thm)],[])).
% 9.09/6.64 tff(21489,plain,
% 9.09/6.64 (~((~v84(constB143, bitIndex2)) | v84(constB143, bitIndex1) | (~v84(constB143, bitIndex0)))),
% 9.09/6.64 inference(unit_resolution,[status(thm)],[21488, 21487, 21456, 21425])).
% 9.09/6.64 tff(21490,plain,
% 9.09/6.64 ((~(v118(constB143) <=> (~((~v84(constB143, bitIndex2)) | v84(constB143, bitIndex1) | (~v84(constB143, bitIndex0)))))) | v118(constB143) | ((~v84(constB143, bitIndex2)) | v84(constB143, bitIndex1) | (~v84(constB143, bitIndex0)))),
% 9.09/6.64 inference(tautology,[status(thm)],[])).
% 9.09/6.64 tff(21491,plain,
% 9.09/6.64 (v118(constB143)),
% 9.09/6.64 inference(unit_resolution,[status(thm)],[21490, 21489, 3248])).
% 9.09/6.64 tff(21492,plain,
% 9.09/6.64 ((v109(constB143) | v118(constB143)) | (~v118(constB143))),
% 9.09/6.64 inference(tautology,[status(thm)],[])).
% 9.09/6.64 tff(21493,plain,
% 9.09/6.64 (v109(constB143) | v118(constB143)),
% 9.09/6.64 inference(unit_resolution,[status(thm)],[21492, 21491])).
% 9.09/6.64 tff(21494,plain,
% 9.09/6.64 ((~(v108(constB143) <=> (v109(constB143) | v118(constB143)))) | v108(constB143) | (~(v109(constB143) | v118(constB143)))),
% 9.09/6.64 inference(tautology,[status(thm)],[])).
% 9.09/6.64 tff(21495,plain,
% 9.09/6.64 (v108(constB143)),
% 9.09/6.64 inference(unit_resolution,[status(thm)],[21494, 21493, 3241])).
% 9.09/6.64 tff(21496,plain,
% 9.09/6.64 ((v108(constB143) | v119(constB143)) | (~v108(constB143))),
% 9.09/6.64 inference(tautology,[status(thm)],[])).
% 9.09/6.64 tff(21497,plain,
% 9.09/6.64 (v108(constB143) | v119(constB143)),
% 9.09/6.64 inference(unit_resolution,[status(thm)],[21496, 21495])).
% 9.09/6.64 tff(21498,plain,
% 9.09/6.64 ((~(v107(constB143) <=> (v108(constB143) | v119(constB143)))) | v107(constB143) | (~(v108(constB143) | v119(constB143)))),
% 9.09/6.64 inference(tautology,[status(thm)],[])).
% 9.09/6.64 tff(21499,plain,
% 9.09/6.64 (v107(constB143)),
% 9.09/6.64 inference(unit_resolution,[status(thm)],[21498, 21497, 3239])).
% 9.09/6.64 tff(21500,plain,
% 9.09/6.64 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB143)) <=> v105(constB143))),
% 9.09/6.64 inference(quant_inst,[status(thm)],[])).
% 9.09/6.64 tff(21501,plain,
% 9.09/6.64 ((~v120(constB143)) <=> v105(constB143)),
% 9.09/6.64 inference(unit_resolution,[status(thm)],[21500, 9842])).
% 9.09/6.64 tff(21502,plain,
% 9.09/6.64 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB143) <=> v26(constB143))),
% 9.09/6.64 inference(quant_inst,[status(thm)],[])).
% 9.09/6.64 tff(21503,plain,
% 9.09/6.64 (v105(constB143) <=> v26(constB143)),
% 9.09/6.64 inference(unit_resolution,[status(thm)],[21502, 9854])).
% 9.09/6.64 tff(21504,plain,
% 9.09/6.64 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB143))),
% 9.09/6.64 inference(quant_inst,[status(thm)],[])).
% 9.09/6.64 tff(21505,plain,
% 9.09/6.64 (~v26(constB143)),
% 9.09/6.64 inference(unit_resolution,[status(thm)],[21504, 9866])).
% 9.09/6.64 tff(21506,plain,
% 9.09/6.64 ((~(v105(constB143) <=> v26(constB143))) | (~v105(constB143)) | v26(constB143)),
% 9.09/6.64 inference(tautology,[status(thm)],[])).
% 9.09/6.64 tff(21507,plain,
% 9.09/6.64 ((~(v105(constB143) <=> v26(constB143))) | (~v105(constB143))),
% 9.09/6.64 inference(unit_resolution,[status(thm)],[21506, 21505])).
% 9.09/6.64 tff(21508,plain,
% 9.09/6.64 (~v105(constB143)),
% 9.09/6.64 inference(unit_resolution,[status(thm)],[21507, 21503])).
% 9.09/6.64 tff(21509,plain,
% 9.09/6.64 ((~((~v120(constB143)) <=> v105(constB143))) | v120(constB143) | v105(constB143)),
% 9.09/6.64 inference(tautology,[status(thm)],[])).
% 9.09/6.64 tff(21510,plain,
% 9.09/6.64 ((~((~v120(constB143)) <=> v105(constB143))) | v120(constB143)),
% 9.09/6.64 inference(unit_resolution,[status(thm)],[21509, 21508])).
% 9.09/6.64 tff(21511,plain,
% 9.09/6.64 (v120(constB143)),
% 9.09/6.64 inference(unit_resolution,[status(thm)],[21510, 21501])).
% 9.09/6.64 tff(21512,plain,
% 9.09/6.64 ((~((~v107(constB143)) | (~v120(constB143)))) | (~v107(constB143)) | (~v120(constB143))),
% 9.09/6.64 inference(tautology,[status(thm)],[])).
% 9.09/6.64 tff(21513,plain,
% 9.09/6.64 ((~((~v107(constB143)) | (~v120(constB143)))) | (~v107(constB143))),
% 9.09/6.64 inference(unit_resolution,[status(thm)],[21512, 21511])).
% 9.09/6.64 tff(21514,plain,
% 9.09/6.64 (~((~v107(constB143)) | (~v120(constB143)))),
% 9.09/6.64 inference(unit_resolution,[status(thm)],[21513, 21499])).
% 9.09/6.64 tff(21515,plain,
% 9.09/6.64 ((~(v106(constB143) <=> (~((~v107(constB143)) | (~v120(constB143)))))) | v106(constB143) | ((~v107(constB143)) | (~v120(constB143)))),
% 9.09/6.64 inference(tautology,[status(thm)],[])).
% 9.09/6.64 tff(21516,plain,
% 9.09/6.64 (v106(constB143)),
% 9.09/6.64 inference(unit_resolution,[status(thm)],[21515, 21514, 3237])).
% 9.09/6.64 tff(21517,plain,
% 9.09/6.64 ((v105(constB143) | v106(constB143)) | (~v106(constB143))),
% 9.09/6.64 inference(tautology,[status(thm)],[])).
% 9.09/6.64 tff(21518,plain,
% 9.09/6.64 (v105(constB143) | v106(constB143)),
% 9.09/6.64 inference(unit_resolution,[status(thm)],[21517, 21516])).
% 9.09/6.64 tff(21519,plain,
% 9.09/6.64 ((~(v102(constB143) <=> (v105(constB143) | v106(constB143)))) | v102(constB143) | (~(v105(constB143) | v106(constB143)))),
% 9.09/6.64 inference(tautology,[status(thm)],[])).
% 9.09/6.64 tff(21520,plain,
% 9.09/6.64 (v102(constB143)),
% 9.09/6.64 inference(unit_resolution,[status(thm)],[21519, 21518, 3235])).
% 9.09/6.64 tff(21521,plain,
% 9.09/6.64 ((~(v104(constB144) <=> v102(constB143))) | v104(constB144) | (~v102(constB143))),
% 9.09/6.64 inference(tautology,[status(thm)],[])).
% 9.09/6.64 tff(21522,plain,
% 9.09/6.64 (v104(constB144)),
% 9.09/6.64 inference(unit_resolution,[status(thm)],[21521, 21520, 3233])).
% 9.09/6.64 tff(21523,plain,
% 9.09/6.64 ((~((~v104(constB144)) | (~v95(constB144)))) | (~v104(constB144)) | (~v95(constB144))),
% 9.09/6.64 inference(tautology,[status(thm)],[])).
% 9.09/6.64 tff(21524,plain,
% 9.09/6.64 (~((~v104(constB144)) | (~v95(constB144)))),
% 9.09/6.64 inference(unit_resolution,[status(thm)],[21523, 21522, 3229])).
% 9.09/6.64 tff(21525,plain,
% 9.09/6.64 ((~(v94(constB144) <=> (~((~v104(constB144)) | (~v95(constB144)))))) | v94(constB144) | ((~v104(constB144)) | (~v95(constB144)))),
% 9.09/6.64 inference(tautology,[status(thm)],[])).
% 9.09/6.64 tff(21526,plain,
% 9.09/6.64 (v94(constB144)),
% 9.09/6.64 inference(unit_resolution,[status(thm)],[21525, 21524, 3198])).
% 9.09/6.64 tff(21527,plain,
% 9.09/6.64 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB144)) | ![B: $i] : ((~less_3(B)) | (v84(constB144, B) <=> v123(constB144, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB144)) | ![B: $i] : ((~less_3(B)) | (v84(constB144, B) <=> v123(constB144, B))))),
% 9.09/6.64 inference(rewrite,[status(thm)],[])).
% 9.09/6.64 tff(21528,plain,
% 9.09/6.64 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB144)) | ![B: $i] : ((~less_3(B)) | (v84(constB144, B) <=> v123(constB144, B))))),
% 9.09/6.64 inference(quant_inst,[status(thm)],[])).
% 9.09/6.64 tff(21529,plain,
% 9.09/6.64 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB144)) | ![B: $i] : ((~less_3(B)) | (v84(constB144, B) <=> v123(constB144, B)))),
% 9.09/6.64 inference(modus_ponens,[status(thm)],[21528, 21527])).
% 9.09/6.64 tff(21530,plain,
% 9.09/6.64 ((~v94(constB144)) | ![B: $i] : ((~less_3(B)) | (v84(constB144, B) <=> v123(constB144, B)))),
% 9.09/6.64 inference(unit_resolution,[status(thm)],[21529, 9902])).
% 9.09/6.64 tff(21531,plain,
% 9.09/6.64 (![B: $i] : ((~less_3(B)) | (v84(constB144, B) <=> v123(constB144, B)))),
% 9.09/6.64 inference(unit_resolution,[status(thm)],[21530, 21526])).
% 9.09/6.64 tff(21532,plain,
% 9.09/6.64 (((~![B: $i] : ((~less_3(B)) | (v84(constB144, B) <=> v123(constB144, B)))) | ((~less_3(bitIndex2)) | (v84(constB144, bitIndex2) <=> v123(constB144, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB144, B) <=> v123(constB144, B)))) | (~less_3(bitIndex2)) | (v84(constB144, bitIndex2) <=> v123(constB144, bitIndex2)))),
% 9.09/6.64 inference(rewrite,[status(thm)],[])).
% 9.09/6.64 tff(21533,plain,
% 9.09/6.64 ((~![B: $i] : ((~less_3(B)) | (v84(constB144, B) <=> v123(constB144, B)))) | ((~less_3(bitIndex2)) | (v84(constB144, bitIndex2) <=> v123(constB144, bitIndex2)))),
% 9.09/6.64 inference(quant_inst,[status(thm)],[])).
% 9.09/6.64 tff(21534,plain,
% 9.09/6.64 ((~![B: $i] : ((~less_3(B)) | (v84(constB144, B) <=> v123(constB144, B)))) | (~less_3(bitIndex2)) | (v84(constB144, bitIndex2) <=> v123(constB144, bitIndex2))),
% 9.09/6.64 inference(modus_ponens,[status(thm)],[21533, 21532])).
% 9.09/6.64 tff(21535,plain,
% 9.09/6.64 (v84(constB144, bitIndex2) <=> v123(constB144, bitIndex2)),
% 9.09/6.64 inference(unit_resolution,[status(thm)],[21534, 832, 21531])).
% 9.09/6.64 tff(21536,plain,
% 9.09/6.64 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB143, constB144)) | ![B: $i] : ((~less_3(B)) | (v123(constB144, B) <=> v121(constB143, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB143, constB144)) | ![B: $i] : ((~less_3(B)) | (v123(constB144, B) <=> v121(constB143, B))))),
% 9.09/6.64 inference(rewrite,[status(thm)],[])).
% 9.09/6.64 tff(21537,plain,
% 9.09/6.64 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB143, constB144)) | ![B: $i] : ((~less_3(B)) | (v123(constB144, B) <=> v121(constB143, B))))),
% 9.09/6.64 inference(quant_inst,[status(thm)],[])).
% 9.09/6.64 tff(21538,plain,
% 9.09/6.64 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB143, constB144)) | ![B: $i] : ((~less_3(B)) | (v123(constB144, B) <=> v121(constB143, B)))),
% 9.09/6.64 inference(modus_ponens,[status(thm)],[21537, 21536])).
% 9.09/6.64 tff(21539,plain,
% 9.09/6.64 (![B: $i] : ((~less_3(B)) | (v123(constB144, B) <=> v121(constB143, B)))),
% 9.09/6.64 inference(unit_resolution,[status(thm)],[21538, 3194, 9924])).
% 9.09/6.64 tff(21540,plain,
% 9.09/6.64 (((~![B: $i] : ((~less_3(B)) | (v123(constB144, B) <=> v121(constB143, B)))) | ((~less_3(bitIndex2)) | (v123(constB144, bitIndex2) <=> v121(constB143, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB144, B) <=> v121(constB143, B)))) | (~less_3(bitIndex2)) | (v123(constB144, bitIndex2) <=> v121(constB143, bitIndex2)))),
% 9.09/6.64 inference(rewrite,[status(thm)],[])).
% 9.09/6.64 tff(21541,plain,
% 9.09/6.64 ((~![B: $i] : ((~less_3(B)) | (v123(constB144, B) <=> v121(constB143, B)))) | ((~less_3(bitIndex2)) | (v123(constB144, bitIndex2) <=> v121(constB143, bitIndex2)))),
% 9.09/6.64 inference(quant_inst,[status(thm)],[])).
% 9.09/6.64 tff(21542,plain,
% 9.09/6.64 ((~![B: $i] : ((~less_3(B)) | (v123(constB144, B) <=> v121(constB143, B)))) | (~less_3(bitIndex2)) | (v123(constB144, bitIndex2) <=> v121(constB143, bitIndex2))),
% 9.09/6.64 inference(modus_ponens,[status(thm)],[21541, 21540])).
% 9.09/6.64 tff(21543,plain,
% 9.09/6.64 (v123(constB144, bitIndex2) <=> v121(constB143, bitIndex2)),
% 9.09/6.64 inference(unit_resolution,[status(thm)],[21542, 832, 21539])).
% 9.09/6.64 tff(21544,plain,
% 9.09/6.64 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB143) | ![B: $i] : ((~less_3(B)) | (v121(constB143, B) <=> v124(constB143, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB143) | ![B: $i] : ((~less_3(B)) | (v121(constB143, B) <=> v124(constB143, B))))),
% 9.09/6.64 inference(rewrite,[status(thm)],[])).
% 9.09/6.64 tff(21545,plain,
% 9.09/6.64 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB143) | ![B: $i] : ((~less_3(B)) | (v121(constB143, B) <=> v124(constB143, B))))),
% 9.09/6.64 inference(quant_inst,[status(thm)],[])).
% 9.09/6.64 tff(21546,plain,
% 9.09/6.64 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB143) | ![B: $i] : ((~less_3(B)) | (v121(constB143, B) <=> v124(constB143, B)))),
% 9.09/6.64 inference(modus_ponens,[status(thm)],[21545, 21544])).
% 9.09/6.64 tff(21547,plain,
% 9.09/6.64 (![B: $i] : ((~less_3(B)) | (v121(constB143, B) <=> v124(constB143, B)))),
% 9.09/6.64 inference(unit_resolution,[status(thm)],[21546, 9945, 21508])).
% 9.09/6.64 tff(21548,plain,
% 9.09/6.64 (((~![B: $i] : ((~less_3(B)) | (v121(constB143, B) <=> v124(constB143, B)))) | ((~less_3(bitIndex2)) | (v121(constB143, bitIndex2) <=> v124(constB143, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB143, B) <=> v124(constB143, B)))) | (~less_3(bitIndex2)) | (v121(constB143, bitIndex2) <=> v124(constB143, bitIndex2)))),
% 9.09/6.64 inference(rewrite,[status(thm)],[])).
% 9.09/6.64 tff(21549,plain,
% 9.09/6.64 ((~![B: $i] : ((~less_3(B)) | (v121(constB143, B) <=> v124(constB143, B)))) | ((~less_3(bitIndex2)) | (v121(constB143, bitIndex2) <=> v124(constB143, bitIndex2)))),
% 9.09/6.64 inference(quant_inst,[status(thm)],[])).
% 9.09/6.64 tff(21550,plain,
% 9.09/6.64 ((~![B: $i] : ((~less_3(B)) | (v121(constB143, B) <=> v124(constB143, B)))) | (~less_3(bitIndex2)) | (v121(constB143, bitIndex2) <=> v124(constB143, bitIndex2))),
% 9.09/6.64 inference(modus_ponens,[status(thm)],[21549, 21548])).
% 9.09/6.64 tff(21551,plain,
% 9.09/6.64 (v121(constB143, bitIndex2) <=> v124(constB143, bitIndex2)),
% 9.09/6.64 inference(unit_resolution,[status(thm)],[21550, 832, 21547])).
% 9.09/6.64 tff(21552,plain,
% 9.09/6.64 (((~![VarCurr: $i] : ((~v118(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b110(B))))) | ((~v118(constB143)) | ![B: $i] : ((~less_3(B)) | (v124(constB143, B) <=> b110(B))))) <=> ((~![VarCurr: $i] : ((~v118(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b110(B))))) | (~v118(constB143)) | ![B: $i] : ((~less_3(B)) | (v124(constB143, B) <=> b110(B))))),
% 9.09/6.64 inference(rewrite,[status(thm)],[])).
% 9.09/6.64 tff(21553,plain,
% 9.09/6.64 ((~![VarCurr: $i] : ((~v118(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b110(B))))) | ((~v118(constB143)) | ![B: $i] : ((~less_3(B)) | (v124(constB143, B) <=> b110(B))))),
% 9.09/6.64 inference(quant_inst,[status(thm)],[])).
% 9.09/6.64 tff(21554,plain,
% 9.09/6.64 ((~![VarCurr: $i] : ((~v118(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b110(B))))) | (~v118(constB143)) | ![B: $i] : ((~less_3(B)) | (v124(constB143, B) <=> b110(B)))),
% 9.09/6.64 inference(modus_ponens,[status(thm)],[21553, 21552])).
% 9.09/6.64 tff(21555,plain,
% 9.09/6.64 ((~v118(constB143)) | ![B: $i] : ((~less_3(B)) | (v124(constB143, B) <=> b110(B)))),
% 9.09/6.64 inference(unit_resolution,[status(thm)],[21554, 10845])).
% 9.09/6.64 tff(21556,plain,
% 9.09/6.64 (![B: $i] : ((~less_3(B)) | (v124(constB143, B) <=> b110(B)))),
% 9.09/6.64 inference(unit_resolution,[status(thm)],[21555, 21491])).
% 9.09/6.64 tff(21557,plain,
% 9.09/6.64 (((~![B: $i] : ((~less_3(B)) | (v124(constB143, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v124(constB143, bitIndex2) <=> b110(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB143, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v124(constB143, bitIndex2) <=> b110(bitIndex2)))),
% 9.09/6.64 inference(rewrite,[status(thm)],[])).
% 9.09/6.64 tff(21558,plain,
% 9.09/6.64 ((~![B: $i] : ((~less_3(B)) | (v124(constB143, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v124(constB143, bitIndex2) <=> b110(bitIndex2)))),
% 9.09/6.64 inference(quant_inst,[status(thm)],[])).
% 9.09/6.64 tff(21559,plain,
% 9.09/6.64 ((~![B: $i] : ((~less_3(B)) | (v124(constB143, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v124(constB143, bitIndex2) <=> b110(bitIndex2))),
% 9.09/6.64 inference(modus_ponens,[status(thm)],[21558, 21557])).
% 9.09/6.64 tff(21560,plain,
% 9.09/6.64 (v124(constB143, bitIndex2) <=> b110(bitIndex2)),
% 9.09/6.64 inference(unit_resolution,[status(thm)],[21559, 832, 21556])).
% 9.09/6.64 tff(21561,plain,
% 9.09/6.64 ((~(v124(constB143, bitIndex2) <=> b110(bitIndex2))) | v124(constB143, bitIndex2) | (~b110(bitIndex2))),
% 9.09/6.64 inference(tautology,[status(thm)],[])).
% 9.09/6.64 tff(21562,plain,
% 9.09/6.64 ((~(v124(constB143, bitIndex2) <=> b110(bitIndex2))) | v124(constB143, bitIndex2)),
% 9.09/6.64 inference(unit_resolution,[status(thm)],[21561, 10857])).
% 9.09/6.64 tff(21563,plain,
% 9.09/6.64 (v124(constB143, bitIndex2)),
% 9.09/6.64 inference(unit_resolution,[status(thm)],[21562, 21560])).
% 9.09/6.64 tff(21564,plain,
% 9.09/6.64 ((~(v121(constB143, bitIndex2) <=> v124(constB143, bitIndex2))) | v121(constB143, bitIndex2) | (~v124(constB143, bitIndex2))),
% 9.09/6.64 inference(tautology,[status(thm)],[])).
% 9.09/6.64 tff(21565,plain,
% 9.09/6.64 (v121(constB143, bitIndex2)),
% 9.09/6.64 inference(unit_resolution,[status(thm)],[21564, 21563, 21551])).
% 9.09/6.64 tff(21566,plain,
% 9.09/6.64 ((~(v123(constB144, bitIndex2) <=> v121(constB143, bitIndex2))) | v123(constB144, bitIndex2) | (~v121(constB143, bitIndex2))),
% 9.09/6.64 inference(tautology,[status(thm)],[])).
% 9.09/6.64 tff(21567,plain,
% 9.09/6.64 (v123(constB144, bitIndex2)),
% 9.09/6.64 inference(unit_resolution,[status(thm)],[21566, 21565, 21543])).
% 9.09/6.64 tff(21568,plain,
% 9.09/6.64 ((~(v84(constB144, bitIndex2) <=> v123(constB144, bitIndex2))) | v84(constB144, bitIndex2) | (~v123(constB144, bitIndex2))),
% 9.09/6.64 inference(tautology,[status(thm)],[])).
% 9.09/6.64 tff(21569,plain,
% 9.09/6.64 (v84(constB144, bitIndex2)),
% 9.09/6.64 inference(unit_resolution,[status(thm)],[21568, 21567, 21535])).
% 9.09/6.64 tff(21570,plain,
% 9.09/6.64 ((~(v84(constB145, bitIndex2) <=> v84(constB144, bitIndex2))) | v84(constB145, bitIndex2) | (~v84(constB144, bitIndex2))),
% 9.09/6.64 inference(tautology,[status(thm)],[])).
% 9.09/6.64 tff(21571,plain,
% 9.09/6.64 (v84(constB145, bitIndex2)),
% 9.09/6.64 inference(unit_resolution,[status(thm)],[21570, 21569, 3191])).
% 9.09/6.64 tff(21572,plain,
% 9.09/6.64 (((~![B: $i] : ((~less_3(B)) | (v84(constB145, B) <=> v84(constB144, B)))) | ((~less_3(bitIndex0)) | (v84(constB145, bitIndex0) <=> v84(constB144, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB145, B) <=> v84(constB144, B)))) | (~less_3(bitIndex0)) | (v84(constB145, bitIndex0) <=> v84(constB144, bitIndex0)))),
% 9.09/6.64 inference(rewrite,[status(thm)],[])).
% 9.09/6.64 tff(21573,plain,
% 9.09/6.64 ((~![B: $i] : ((~less_3(B)) | (v84(constB145, B) <=> v84(constB144, B)))) | ((~less_3(bitIndex0)) | (v84(constB145, bitIndex0) <=> v84(constB144, bitIndex0)))),
% 9.09/6.64 inference(quant_inst,[status(thm)],[])).
% 9.09/6.64 tff(21574,plain,
% 9.09/6.64 ((~![B: $i] : ((~less_3(B)) | (v84(constB145, B) <=> v84(constB144, B)))) | (~less_3(bitIndex0)) | (v84(constB145, bitIndex0) <=> v84(constB144, bitIndex0))),
% 9.09/6.64 inference(modus_ponens,[status(thm)],[21573, 21572])).
% 9.09/6.64 tff(21575,plain,
% 9.09/6.64 (v84(constB145, bitIndex0) <=> v84(constB144, bitIndex0)),
% 9.09/6.64 inference(unit_resolution,[status(thm)],[21574, 9772, 3187])).
% 9.09/6.64 tff(21576,plain,
% 9.09/6.64 (((~![B: $i] : ((~less_3(B)) | (v84(constB144, B) <=> v123(constB144, B)))) | ((~less_3(bitIndex0)) | (v84(constB144, bitIndex0) <=> v123(constB144, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB144, B) <=> v123(constB144, B)))) | (~less_3(bitIndex0)) | (v84(constB144, bitIndex0) <=> v123(constB144, bitIndex0)))),
% 9.09/6.64 inference(rewrite,[status(thm)],[])).
% 9.09/6.64 tff(21577,plain,
% 9.09/6.64 ((~![B: $i] : ((~less_3(B)) | (v84(constB144, B) <=> v123(constB144, B)))) | ((~less_3(bitIndex0)) | (v84(constB144, bitIndex0) <=> v123(constB144, bitIndex0)))),
% 9.09/6.64 inference(quant_inst,[status(thm)],[])).
% 9.09/6.64 tff(21578,plain,
% 9.09/6.64 ((~![B: $i] : ((~less_3(B)) | (v84(constB144, B) <=> v123(constB144, B)))) | (~less_3(bitIndex0)) | (v84(constB144, bitIndex0) <=> v123(constB144, bitIndex0))),
% 9.09/6.64 inference(modus_ponens,[status(thm)],[21577, 21576])).
% 9.09/6.64 tff(21579,plain,
% 9.09/6.64 (v84(constB144, bitIndex0) <=> v123(constB144, bitIndex0)),
% 9.09/6.64 inference(unit_resolution,[status(thm)],[21578, 9772, 21531])).
% 9.09/6.64 tff(21580,plain,
% 9.09/6.64 (((~![B: $i] : ((~less_3(B)) | (v123(constB144, B) <=> v121(constB143, B)))) | ((~less_3(bitIndex0)) | (v123(constB144, bitIndex0) <=> v121(constB143, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB144, B) <=> v121(constB143, B)))) | (~less_3(bitIndex0)) | (v123(constB144, bitIndex0) <=> v121(constB143, bitIndex0)))),
% 9.09/6.64 inference(rewrite,[status(thm)],[])).
% 9.09/6.64 tff(21581,plain,
% 9.09/6.64 ((~![B: $i] : ((~less_3(B)) | (v123(constB144, B) <=> v121(constB143, B)))) | ((~less_3(bitIndex0)) | (v123(constB144, bitIndex0) <=> v121(constB143, bitIndex0)))),
% 9.09/6.64 inference(quant_inst,[status(thm)],[])).
% 9.09/6.64 tff(21582,plain,
% 9.09/6.64 ((~![B: $i] : ((~less_3(B)) | (v123(constB144, B) <=> v121(constB143, B)))) | (~less_3(bitIndex0)) | (v123(constB144, bitIndex0) <=> v121(constB143, bitIndex0))),
% 9.09/6.64 inference(modus_ponens,[status(thm)],[21581, 21580])).
% 9.09/6.64 tff(21583,plain,
% 9.09/6.64 (v123(constB144, bitIndex0) <=> v121(constB143, bitIndex0)),
% 9.09/6.64 inference(unit_resolution,[status(thm)],[21582, 9772, 21539])).
% 9.09/6.64 tff(21584,plain,
% 9.09/6.64 (((~![B: $i] : ((~less_3(B)) | (v121(constB143, B) <=> v124(constB143, B)))) | ((~less_3(bitIndex0)) | (v121(constB143, bitIndex0) <=> v124(constB143, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB143, B) <=> v124(constB143, B)))) | (~less_3(bitIndex0)) | (v121(constB143, bitIndex0) <=> v124(constB143, bitIndex0)))),
% 9.09/6.64 inference(rewrite,[status(thm)],[])).
% 9.09/6.64 tff(21585,plain,
% 9.09/6.64 ((~![B: $i] : ((~less_3(B)) | (v121(constB143, B) <=> v124(constB143, B)))) | ((~less_3(bitIndex0)) | (v121(constB143, bitIndex0) <=> v124(constB143, bitIndex0)))),
% 9.09/6.64 inference(quant_inst,[status(thm)],[])).
% 9.09/6.64 tff(21586,plain,
% 9.09/6.64 ((~![B: $i] : ((~less_3(B)) | (v121(constB143, B) <=> v124(constB143, B)))) | (~less_3(bitIndex0)) | (v121(constB143, bitIndex0) <=> v124(constB143, bitIndex0))),
% 9.09/6.64 inference(modus_ponens,[status(thm)],[21585, 21584])).
% 9.09/6.64 tff(21587,plain,
% 9.09/6.64 (v121(constB143, bitIndex0) <=> v124(constB143, bitIndex0)),
% 9.09/6.64 inference(unit_resolution,[status(thm)],[21586, 9772, 21547])).
% 9.09/6.64 tff(21588,plain,
% 9.09/6.64 (((~![B: $i] : ((~less_3(B)) | (v124(constB143, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v124(constB143, bitIndex0) <=> b110(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB143, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v124(constB143, bitIndex0) <=> b110(bitIndex0)))),
% 9.09/6.64 inference(rewrite,[status(thm)],[])).
% 9.09/6.64 tff(21589,plain,
% 9.09/6.64 ((~![B: $i] : ((~less_3(B)) | (v124(constB143, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v124(constB143, bitIndex0) <=> b110(bitIndex0)))),
% 9.09/6.64 inference(quant_inst,[status(thm)],[])).
% 9.09/6.64 tff(21590,plain,
% 9.09/6.64 ((~![B: $i] : ((~less_3(B)) | (v124(constB143, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v124(constB143, bitIndex0) <=> b110(bitIndex0))),
% 9.09/6.64 inference(modus_ponens,[status(thm)],[21589, 21588])).
% 9.09/6.64 tff(21591,plain,
% 9.09/6.64 (v124(constB143, bitIndex0) <=> b110(bitIndex0)),
% 9.09/6.64 inference(unit_resolution,[status(thm)],[21590, 9772, 21556])).
% 9.09/6.64 tff(21592,plain,
% 9.09/6.64 ((~(v124(constB143, bitIndex0) <=> b110(bitIndex0))) | (~v124(constB143, bitIndex0)) | b110(bitIndex0)),
% 9.09/6.64 inference(tautology,[status(thm)],[])).
% 9.09/6.64 tff(21593,plain,
% 9.09/6.64 ((~(v124(constB143, bitIndex0) <=> b110(bitIndex0))) | (~v124(constB143, bitIndex0))),
% 9.09/6.64 inference(unit_resolution,[status(thm)],[21592, 10891])).
% 9.09/6.64 tff(21594,plain,
% 9.09/6.64 (~v124(constB143, bitIndex0)),
% 9.09/6.64 inference(unit_resolution,[status(thm)],[21593, 21591])).
% 9.09/6.64 tff(21595,plain,
% 9.09/6.64 ((~(v121(constB143, bitIndex0) <=> v124(constB143, bitIndex0))) | (~v121(constB143, bitIndex0)) | v124(constB143, bitIndex0)),
% 9.09/6.65 inference(tautology,[status(thm)],[])).
% 9.09/6.65 tff(21596,plain,
% 9.09/6.65 (~v121(constB143, bitIndex0)),
% 9.09/6.65 inference(unit_resolution,[status(thm)],[21595, 21594, 21587])).
% 9.09/6.65 tff(21597,plain,
% 9.09/6.65 ((~(v123(constB144, bitIndex0) <=> v121(constB143, bitIndex0))) | (~v123(constB144, bitIndex0)) | v121(constB143, bitIndex0)),
% 9.09/6.65 inference(tautology,[status(thm)],[])).
% 9.09/6.65 tff(21598,plain,
% 9.09/6.65 (~v123(constB144, bitIndex0)),
% 9.09/6.65 inference(unit_resolution,[status(thm)],[21597, 21596, 21583])).
% 9.09/6.65 tff(21599,plain,
% 9.09/6.65 ((~(v84(constB144, bitIndex0) <=> v123(constB144, bitIndex0))) | (~v84(constB144, bitIndex0)) | v123(constB144, bitIndex0)),
% 9.09/6.65 inference(tautology,[status(thm)],[])).
% 9.09/6.65 tff(21600,plain,
% 9.09/6.65 (~v84(constB144, bitIndex0)),
% 9.09/6.65 inference(unit_resolution,[status(thm)],[21599, 21598, 21579])).
% 9.09/6.65 tff(21601,plain,
% 9.09/6.65 ((~(v84(constB145, bitIndex0) <=> v84(constB144, bitIndex0))) | (~v84(constB145, bitIndex0)) | v84(constB144, bitIndex0)),
% 9.09/6.65 inference(tautology,[status(thm)],[])).
% 9.09/6.65 tff(21602,plain,
% 9.09/6.65 (~v84(constB145, bitIndex0)),
% 9.09/6.65 inference(unit_resolution,[status(thm)],[21601, 21600, 21575])).
% 9.09/6.65 tff(21603,plain,
% 9.09/6.65 (((~![B: $i] : ((~less_3(B)) | (v84(constB145, B) <=> v84(constB144, B)))) | ((~less_3(bitIndex1)) | (v84(constB145, bitIndex1) <=> v84(constB144, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB145, B) <=> v84(constB144, B)))) | (~less_3(bitIndex1)) | (v84(constB145, bitIndex1) <=> v84(constB144, bitIndex1)))),
% 9.09/6.65 inference(rewrite,[status(thm)],[])).
% 9.09/6.65 tff(21604,plain,
% 9.09/6.65 ((~![B: $i] : ((~less_3(B)) | (v84(constB145, B) <=> v84(constB144, B)))) | ((~less_3(bitIndex1)) | (v84(constB145, bitIndex1) <=> v84(constB144, bitIndex1)))),
% 9.09/6.65 inference(quant_inst,[status(thm)],[])).
% 9.09/6.65 tff(21605,plain,
% 9.09/6.65 ((~![B: $i] : ((~less_3(B)) | (v84(constB145, B) <=> v84(constB144, B)))) | (~less_3(bitIndex1)) | (v84(constB145, bitIndex1) <=> v84(constB144, bitIndex1))),
% 9.09/6.65 inference(modus_ponens,[status(thm)],[21604, 21603])).
% 9.09/6.65 tff(21606,plain,
% 9.09/6.65 (v84(constB145, bitIndex1) <=> v84(constB144, bitIndex1)),
% 9.09/6.65 inference(unit_resolution,[status(thm)],[21605, 9785, 3187])).
% 9.09/6.65 tff(21607,plain,
% 9.09/6.65 (((~![B: $i] : ((~less_3(B)) | (v84(constB144, B) <=> v123(constB144, B)))) | ((~less_3(bitIndex1)) | (v84(constB144, bitIndex1) <=> v123(constB144, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB144, B) <=> v123(constB144, B)))) | (~less_3(bitIndex1)) | (v84(constB144, bitIndex1) <=> v123(constB144, bitIndex1)))),
% 9.09/6.65 inference(rewrite,[status(thm)],[])).
% 9.09/6.65 tff(21608,plain,
% 9.09/6.65 ((~![B: $i] : ((~less_3(B)) | (v84(constB144, B) <=> v123(constB144, B)))) | ((~less_3(bitIndex1)) | (v84(constB144, bitIndex1) <=> v123(constB144, bitIndex1)))),
% 9.09/6.65 inference(quant_inst,[status(thm)],[])).
% 9.09/6.65 tff(21609,plain,
% 9.09/6.65 ((~![B: $i] : ((~less_3(B)) | (v84(constB144, B) <=> v123(constB144, B)))) | (~less_3(bitIndex1)) | (v84(constB144, bitIndex1) <=> v123(constB144, bitIndex1))),
% 9.09/6.65 inference(modus_ponens,[status(thm)],[21608, 21607])).
% 9.09/6.65 tff(21610,plain,
% 9.09/6.65 (v84(constB144, bitIndex1) <=> v123(constB144, bitIndex1)),
% 9.09/6.65 inference(unit_resolution,[status(thm)],[21609, 9785, 21531])).
% 9.09/6.65 tff(21611,plain,
% 9.09/6.65 (((~![B: $i] : ((~less_3(B)) | (v123(constB144, B) <=> v121(constB143, B)))) | ((~less_3(bitIndex1)) | (v123(constB144, bitIndex1) <=> v121(constB143, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB144, B) <=> v121(constB143, B)))) | (~less_3(bitIndex1)) | (v123(constB144, bitIndex1) <=> v121(constB143, bitIndex1)))),
% 9.09/6.65 inference(rewrite,[status(thm)],[])).
% 9.09/6.65 tff(21612,plain,
% 9.09/6.65 ((~![B: $i] : ((~less_3(B)) | (v123(constB144, B) <=> v121(constB143, B)))) | ((~less_3(bitIndex1)) | (v123(constB144, bitIndex1) <=> v121(constB143, bitIndex1)))),
% 9.09/6.65 inference(quant_inst,[status(thm)],[])).
% 9.09/6.65 tff(21613,plain,
% 9.09/6.65 ((~![B: $i] : ((~less_3(B)) | (v123(constB144, B) <=> v121(constB143, B)))) | (~less_3(bitIndex1)) | (v123(constB144, bitIndex1) <=> v121(constB143, bitIndex1))),
% 9.09/6.65 inference(modus_ponens,[status(thm)],[21612, 21611])).
% 9.09/6.65 tff(21614,plain,
% 9.09/6.65 (v123(constB144, bitIndex1) <=> v121(constB143, bitIndex1)),
% 9.09/6.65 inference(unit_resolution,[status(thm)],[21613, 9785, 21539])).
% 9.09/6.65 tff(21615,plain,
% 9.09/6.65 (((~![B: $i] : ((~less_3(B)) | (v121(constB143, B) <=> v124(constB143, B)))) | ((~less_3(bitIndex1)) | (v121(constB143, bitIndex1) <=> v124(constB143, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB143, B) <=> v124(constB143, B)))) | (~less_3(bitIndex1)) | (v121(constB143, bitIndex1) <=> v124(constB143, bitIndex1)))),
% 9.09/6.65 inference(rewrite,[status(thm)],[])).
% 9.09/6.65 tff(21616,plain,
% 9.09/6.65 ((~![B: $i] : ((~less_3(B)) | (v121(constB143, B) <=> v124(constB143, B)))) | ((~less_3(bitIndex1)) | (v121(constB143, bitIndex1) <=> v124(constB143, bitIndex1)))),
% 9.09/6.65 inference(quant_inst,[status(thm)],[])).
% 9.09/6.65 tff(21617,plain,
% 9.09/6.65 ((~![B: $i] : ((~less_3(B)) | (v121(constB143, B) <=> v124(constB143, B)))) | (~less_3(bitIndex1)) | (v121(constB143, bitIndex1) <=> v124(constB143, bitIndex1))),
% 9.09/6.65 inference(modus_ponens,[status(thm)],[21616, 21615])).
% 9.09/6.65 tff(21618,plain,
% 9.09/6.65 (v121(constB143, bitIndex1) <=> v124(constB143, bitIndex1)),
% 9.09/6.65 inference(unit_resolution,[status(thm)],[21617, 9785, 21547])).
% 9.09/6.65 tff(21619,plain,
% 9.09/6.65 (((~![B: $i] : ((~less_3(B)) | (v124(constB143, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v124(constB143, bitIndex1) <=> b110(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB143, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v124(constB143, bitIndex1) <=> b110(bitIndex1)))),
% 9.09/6.65 inference(rewrite,[status(thm)],[])).
% 9.09/6.65 tff(21620,plain,
% 9.09/6.65 ((~![B: $i] : ((~less_3(B)) | (v124(constB143, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v124(constB143, bitIndex1) <=> b110(bitIndex1)))),
% 9.09/6.65 inference(quant_inst,[status(thm)],[])).
% 9.09/6.65 tff(21621,plain,
% 9.09/6.65 ((~![B: $i] : ((~less_3(B)) | (v124(constB143, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v124(constB143, bitIndex1) <=> b110(bitIndex1))),
% 9.09/6.65 inference(modus_ponens,[status(thm)],[21620, 21619])).
% 9.09/6.65 tff(21622,plain,
% 9.09/6.65 (v124(constB143, bitIndex1) <=> b110(bitIndex1)),
% 9.09/6.65 inference(unit_resolution,[status(thm)],[21621, 9785, 21556])).
% 9.09/6.65 tff(21623,plain,
% 9.09/6.65 ((~(v124(constB143, bitIndex1) <=> b110(bitIndex1))) | v124(constB143, bitIndex1) | (~b110(bitIndex1))),
% 9.09/6.65 inference(tautology,[status(thm)],[])).
% 9.09/6.65 tff(21624,plain,
% 9.09/6.65 ((~(v124(constB143, bitIndex1) <=> b110(bitIndex1))) | v124(constB143, bitIndex1)),
% 9.09/6.65 inference(unit_resolution,[status(thm)],[21623, 10925])).
% 9.09/6.65 tff(21625,plain,
% 9.09/6.65 (v124(constB143, bitIndex1)),
% 9.09/6.65 inference(unit_resolution,[status(thm)],[21624, 21622])).
% 9.09/6.65 tff(21626,plain,
% 9.09/6.65 ((~(v121(constB143, bitIndex1) <=> v124(constB143, bitIndex1))) | v121(constB143, bitIndex1) | (~v124(constB143, bitIndex1))),
% 9.09/6.65 inference(tautology,[status(thm)],[])).
% 9.09/6.65 tff(21627,plain,
% 9.09/6.65 (v121(constB143, bitIndex1)),
% 9.09/6.65 inference(unit_resolution,[status(thm)],[21626, 21625, 21618])).
% 9.09/6.65 tff(21628,plain,
% 9.09/6.65 ((~(v123(constB144, bitIndex1) <=> v121(constB143, bitIndex1))) | v123(constB144, bitIndex1) | (~v121(constB143, bitIndex1))),
% 9.09/6.65 inference(tautology,[status(thm)],[])).
% 9.09/6.65 tff(21629,plain,
% 9.09/6.65 (v123(constB144, bitIndex1)),
% 9.09/6.65 inference(unit_resolution,[status(thm)],[21628, 21627, 21614])).
% 9.09/6.65 tff(21630,plain,
% 9.09/6.65 ((~(v84(constB144, bitIndex1) <=> v123(constB144, bitIndex1))) | v84(constB144, bitIndex1) | (~v123(constB144, bitIndex1))),
% 9.09/6.65 inference(tautology,[status(thm)],[])).
% 9.09/6.65 tff(21631,plain,
% 9.09/6.65 (v84(constB144, bitIndex1)),
% 9.09/6.65 inference(unit_resolution,[status(thm)],[21630, 21629, 21610])).
% 9.09/6.65 tff(21632,plain,
% 9.09/6.65 ((~(v84(constB145, bitIndex1) <=> v84(constB144, bitIndex1))) | v84(constB145, bitIndex1) | (~v84(constB144, bitIndex1))),
% 9.09/6.65 inference(tautology,[status(thm)],[])).
% 9.09/6.65 tff(21633,plain,
% 9.09/6.65 (v84(constB145, bitIndex1)),
% 9.09/6.65 inference(unit_resolution,[status(thm)],[21632, 21631, 21606])).
% 9.09/6.65 tff(21634,plain,
% 9.09/6.65 ((~((~v84(constB145, bitIndex2)) | (~v84(constB145, bitIndex1)) | v84(constB145, bitIndex0))) | (~v84(constB145, bitIndex2)) | (~v84(constB145, bitIndex1)) | v84(constB145, bitIndex0)),
% 9.09/6.65 inference(tautology,[status(thm)],[])).
% 9.09/6.65 tff(21635,plain,
% 9.09/6.65 (~((~v84(constB145, bitIndex2)) | (~v84(constB145, bitIndex1)) | v84(constB145, bitIndex0))),
% 9.09/6.65 inference(unit_resolution,[status(thm)],[21634, 21633, 21602, 21571])).
% 9.09/6.65 tff(21636,plain,
% 9.09/6.65 ((~(v119(constB145) <=> (~((~v84(constB145, bitIndex2)) | (~v84(constB145, bitIndex1)) | v84(constB145, bitIndex0))))) | v119(constB145) | ((~v84(constB145, bitIndex2)) | (~v84(constB145, bitIndex1)) | v84(constB145, bitIndex0))),
% 9.09/6.65 inference(tautology,[status(thm)],[])).
% 9.09/6.65 tff(21637,plain,
% 9.09/6.65 (v119(constB145)),
% 9.09/6.65 inference(unit_resolution,[status(thm)],[21636, 21635, 3159])).
% 9.09/6.65 tff(21638,plain,
% 9.09/6.65 ((v108(constB145) | v119(constB145)) | (~v119(constB145))),
% 9.09/6.65 inference(tautology,[status(thm)],[])).
% 9.09/6.65 tff(21639,plain,
% 9.09/6.65 (v108(constB145) | v119(constB145)),
% 9.09/6.65 inference(unit_resolution,[status(thm)],[21638, 21637])).
% 9.09/6.65 tff(21640,plain,
% 9.09/6.65 ((~(v107(constB145) <=> (v108(constB145) | v119(constB145)))) | v107(constB145) | (~(v108(constB145) | v119(constB145)))),
% 9.09/6.65 inference(tautology,[status(thm)],[])).
% 9.09/6.65 tff(21641,plain,
% 9.09/6.65 (v107(constB145)),
% 9.09/6.65 inference(unit_resolution,[status(thm)],[21640, 21639, 3152])).
% 9.09/6.65 tff(21642,plain,
% 9.09/6.65 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB145)) <=> v105(constB145))),
% 9.09/6.65 inference(quant_inst,[status(thm)],[])).
% 9.09/6.65 tff(21643,plain,
% 9.09/6.65 ((~v120(constB145)) <=> v105(constB145)),
% 9.09/6.65 inference(unit_resolution,[status(thm)],[21642, 9842])).
% 9.09/6.65 tff(21644,plain,
% 9.09/6.65 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB145) <=> v26(constB145))),
% 9.09/6.65 inference(quant_inst,[status(thm)],[])).
% 9.09/6.65 tff(21645,plain,
% 9.09/6.65 (v105(constB145) <=> v26(constB145)),
% 9.09/6.65 inference(unit_resolution,[status(thm)],[21644, 9854])).
% 9.09/6.65 tff(21646,plain,
% 9.09/6.65 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB145))),
% 9.09/6.65 inference(quant_inst,[status(thm)],[])).
% 9.09/6.65 tff(21647,plain,
% 9.09/6.65 (~v26(constB145)),
% 9.09/6.65 inference(unit_resolution,[status(thm)],[21646, 9866])).
% 9.09/6.65 tff(21648,plain,
% 9.09/6.65 ((~(v105(constB145) <=> v26(constB145))) | (~v105(constB145)) | v26(constB145)),
% 9.09/6.65 inference(tautology,[status(thm)],[])).
% 9.09/6.65 tff(21649,plain,
% 9.09/6.65 ((~(v105(constB145) <=> v26(constB145))) | (~v105(constB145))),
% 9.09/6.65 inference(unit_resolution,[status(thm)],[21648, 21647])).
% 9.09/6.65 tff(21650,plain,
% 9.09/6.65 (~v105(constB145)),
% 9.09/6.65 inference(unit_resolution,[status(thm)],[21649, 21645])).
% 9.09/6.65 tff(21651,plain,
% 9.09/6.65 ((~((~v120(constB145)) <=> v105(constB145))) | v120(constB145) | v105(constB145)),
% 9.09/6.65 inference(tautology,[status(thm)],[])).
% 9.09/6.65 tff(21652,plain,
% 9.09/6.65 ((~((~v120(constB145)) <=> v105(constB145))) | v120(constB145)),
% 9.09/6.65 inference(unit_resolution,[status(thm)],[21651, 21650])).
% 9.09/6.65 tff(21653,plain,
% 9.09/6.65 (v120(constB145)),
% 9.09/6.65 inference(unit_resolution,[status(thm)],[21652, 21643])).
% 9.09/6.65 tff(21654,plain,
% 9.09/6.65 ((~((~v107(constB145)) | (~v120(constB145)))) | (~v107(constB145)) | (~v120(constB145))),
% 9.09/6.65 inference(tautology,[status(thm)],[])).
% 9.09/6.65 tff(21655,plain,
% 9.09/6.65 ((~((~v107(constB145)) | (~v120(constB145)))) | (~v107(constB145))),
% 9.09/6.65 inference(unit_resolution,[status(thm)],[21654, 21653])).
% 9.09/6.65 tff(21656,plain,
% 9.09/6.65 (~((~v107(constB145)) | (~v120(constB145)))),
% 9.09/6.65 inference(unit_resolution,[status(thm)],[21655, 21641])).
% 9.09/6.65 tff(21657,plain,
% 9.09/6.65 ((~(v106(constB145) <=> (~((~v107(constB145)) | (~v120(constB145)))))) | v106(constB145) | ((~v107(constB145)) | (~v120(constB145)))),
% 9.09/6.65 inference(tautology,[status(thm)],[])).
% 9.09/6.65 tff(21658,plain,
% 9.09/6.65 (v106(constB145)),
% 9.09/6.65 inference(unit_resolution,[status(thm)],[21657, 21656, 3150])).
% 9.09/6.65 tff(21659,plain,
% 9.09/6.65 ((v105(constB145) | v106(constB145)) | (~v106(constB145))),
% 9.09/6.65 inference(tautology,[status(thm)],[])).
% 9.09/6.65 tff(21660,plain,
% 9.09/6.65 (v105(constB145) | v106(constB145)),
% 9.09/6.65 inference(unit_resolution,[status(thm)],[21659, 21658])).
% 9.09/6.65 tff(21661,plain,
% 9.09/6.65 ((~(v102(constB145) <=> (v105(constB145) | v106(constB145)))) | v102(constB145) | (~(v105(constB145) | v106(constB145)))),
% 9.09/6.65 inference(tautology,[status(thm)],[])).
% 9.09/6.65 tff(21662,plain,
% 9.09/6.65 (v102(constB145)),
% 9.09/6.65 inference(unit_resolution,[status(thm)],[21661, 21660, 3148])).
% 9.09/6.65 tff(21663,plain,
% 9.09/6.65 ((~(v104(constB146) <=> v102(constB145))) | v104(constB146) | (~v102(constB145))),
% 9.09/6.65 inference(tautology,[status(thm)],[])).
% 9.09/6.65 tff(21664,plain,
% 9.09/6.65 (v104(constB146)),
% 9.09/6.65 inference(unit_resolution,[status(thm)],[21663, 21662, 3146])).
% 9.09/6.65 tff(21665,plain,
% 9.09/6.65 ((~((~v104(constB146)) | (~v95(constB146)))) | (~v104(constB146)) | (~v95(constB146))),
% 9.09/6.65 inference(tautology,[status(thm)],[])).
% 9.09/6.65 tff(21666,plain,
% 9.09/6.65 (~((~v104(constB146)) | (~v95(constB146)))),
% 9.09/6.65 inference(unit_resolution,[status(thm)],[21665, 21664, 3142])).
% 9.09/6.65 tff(21667,plain,
% 9.09/6.65 ((~(v94(constB146) <=> (~((~v104(constB146)) | (~v95(constB146)))))) | v94(constB146) | ((~v104(constB146)) | (~v95(constB146)))),
% 9.09/6.65 inference(tautology,[status(thm)],[])).
% 9.09/6.65 tff(21668,plain,
% 9.09/6.65 (v94(constB146)),
% 9.09/6.65 inference(unit_resolution,[status(thm)],[21667, 21666, 3111])).
% 9.09/6.65 tff(21669,plain,
% 9.09/6.65 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB146)) | ![B: $i] : ((~less_3(B)) | (v84(constB146, B) <=> v123(constB146, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB146)) | ![B: $i] : ((~less_3(B)) | (v84(constB146, B) <=> v123(constB146, B))))),
% 9.09/6.65 inference(rewrite,[status(thm)],[])).
% 9.09/6.65 tff(21670,plain,
% 9.09/6.65 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB146)) | ![B: $i] : ((~less_3(B)) | (v84(constB146, B) <=> v123(constB146, B))))),
% 9.09/6.65 inference(quant_inst,[status(thm)],[])).
% 9.09/6.65 tff(21671,plain,
% 9.09/6.65 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB146)) | ![B: $i] : ((~less_3(B)) | (v84(constB146, B) <=> v123(constB146, B)))),
% 9.09/6.65 inference(modus_ponens,[status(thm)],[21670, 21669])).
% 9.09/6.65 tff(21672,plain,
% 9.09/6.65 ((~v94(constB146)) | ![B: $i] : ((~less_3(B)) | (v84(constB146, B) <=> v123(constB146, B)))),
% 9.09/6.65 inference(unit_resolution,[status(thm)],[21671, 9902])).
% 9.09/6.65 tff(21673,plain,
% 9.09/6.65 (![B: $i] : ((~less_3(B)) | (v84(constB146, B) <=> v123(constB146, B)))),
% 9.09/6.65 inference(unit_resolution,[status(thm)],[21672, 21668])).
% 9.09/6.65 tff(21674,plain,
% 9.09/6.65 (((~![B: $i] : ((~less_3(B)) | (v84(constB146, B) <=> v123(constB146, B)))) | ((~less_3(bitIndex2)) | (v84(constB146, bitIndex2) <=> v123(constB146, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB146, B) <=> v123(constB146, B)))) | (~less_3(bitIndex2)) | (v84(constB146, bitIndex2) <=> v123(constB146, bitIndex2)))),
% 9.09/6.65 inference(rewrite,[status(thm)],[])).
% 9.09/6.65 tff(21675,plain,
% 9.09/6.65 ((~![B: $i] : ((~less_3(B)) | (v84(constB146, B) <=> v123(constB146, B)))) | ((~less_3(bitIndex2)) | (v84(constB146, bitIndex2) <=> v123(constB146, bitIndex2)))),
% 9.09/6.65 inference(quant_inst,[status(thm)],[])).
% 9.09/6.65 tff(21676,plain,
% 9.09/6.65 ((~![B: $i] : ((~less_3(B)) | (v84(constB146, B) <=> v123(constB146, B)))) | (~less_3(bitIndex2)) | (v84(constB146, bitIndex2) <=> v123(constB146, bitIndex2))),
% 9.09/6.65 inference(modus_ponens,[status(thm)],[21675, 21674])).
% 9.09/6.65 tff(21677,plain,
% 9.09/6.65 (v84(constB146, bitIndex2) <=> v123(constB146, bitIndex2)),
% 9.09/6.65 inference(unit_resolution,[status(thm)],[21676, 832, 21673])).
% 9.09/6.65 tff(21678,plain,
% 9.09/6.65 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB145, constB146)) | ![B: $i] : ((~less_3(B)) | (v123(constB146, B) <=> v121(constB145, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB145, constB146)) | ![B: $i] : ((~less_3(B)) | (v123(constB146, B) <=> v121(constB145, B))))),
% 9.09/6.65 inference(rewrite,[status(thm)],[])).
% 9.09/6.65 tff(21679,plain,
% 9.09/6.65 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB145, constB146)) | ![B: $i] : ((~less_3(B)) | (v123(constB146, B) <=> v121(constB145, B))))),
% 9.09/6.65 inference(quant_inst,[status(thm)],[])).
% 9.09/6.65 tff(21680,plain,
% 9.09/6.65 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB145, constB146)) | ![B: $i] : ((~less_3(B)) | (v123(constB146, B) <=> v121(constB145, B)))),
% 9.09/6.65 inference(modus_ponens,[status(thm)],[21679, 21678])).
% 9.09/6.65 tff(21681,plain,
% 9.09/6.65 (![B: $i] : ((~less_3(B)) | (v123(constB146, B) <=> v121(constB145, B)))),
% 9.09/6.65 inference(unit_resolution,[status(thm)],[21680, 3107, 9924])).
% 9.09/6.65 tff(21682,plain,
% 9.09/6.65 (((~![B: $i] : ((~less_3(B)) | (v123(constB146, B) <=> v121(constB145, B)))) | ((~less_3(bitIndex2)) | (v123(constB146, bitIndex2) <=> v121(constB145, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB146, B) <=> v121(constB145, B)))) | (~less_3(bitIndex2)) | (v123(constB146, bitIndex2) <=> v121(constB145, bitIndex2)))),
% 9.09/6.65 inference(rewrite,[status(thm)],[])).
% 9.09/6.65 tff(21683,plain,
% 9.09/6.65 ((~![B: $i] : ((~less_3(B)) | (v123(constB146, B) <=> v121(constB145, B)))) | ((~less_3(bitIndex2)) | (v123(constB146, bitIndex2) <=> v121(constB145, bitIndex2)))),
% 9.09/6.65 inference(quant_inst,[status(thm)],[])).
% 9.09/6.65 tff(21684,plain,
% 9.09/6.65 ((~![B: $i] : ((~less_3(B)) | (v123(constB146, B) <=> v121(constB145, B)))) | (~less_3(bitIndex2)) | (v123(constB146, bitIndex2) <=> v121(constB145, bitIndex2))),
% 9.09/6.65 inference(modus_ponens,[status(thm)],[21683, 21682])).
% 9.09/6.65 tff(21685,plain,
% 9.09/6.65 (v123(constB146, bitIndex2) <=> v121(constB145, bitIndex2)),
% 9.09/6.65 inference(unit_resolution,[status(thm)],[21684, 832, 21681])).
% 9.09/6.65 tff(21686,plain,
% 9.09/6.65 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB145) | ![B: $i] : ((~less_3(B)) | (v121(constB145, B) <=> v124(constB145, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB145) | ![B: $i] : ((~less_3(B)) | (v121(constB145, B) <=> v124(constB145, B))))),
% 9.09/6.65 inference(rewrite,[status(thm)],[])).
% 9.09/6.65 tff(21687,plain,
% 9.09/6.65 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB145) | ![B: $i] : ((~less_3(B)) | (v121(constB145, B) <=> v124(constB145, B))))),
% 9.09/6.65 inference(quant_inst,[status(thm)],[])).
% 9.09/6.65 tff(21688,plain,
% 9.09/6.65 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB145) | ![B: $i] : ((~less_3(B)) | (v121(constB145, B) <=> v124(constB145, B)))),
% 9.09/6.65 inference(modus_ponens,[status(thm)],[21687, 21686])).
% 9.09/6.65 tff(21689,plain,
% 9.09/6.65 (![B: $i] : ((~less_3(B)) | (v121(constB145, B) <=> v124(constB145, B)))),
% 9.09/6.65 inference(unit_resolution,[status(thm)],[21688, 9945, 21650])).
% 9.09/6.65 tff(21690,plain,
% 9.09/6.65 (((~![B: $i] : ((~less_3(B)) | (v121(constB145, B) <=> v124(constB145, B)))) | ((~less_3(bitIndex2)) | (v121(constB145, bitIndex2) <=> v124(constB145, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB145, B) <=> v124(constB145, B)))) | (~less_3(bitIndex2)) | (v121(constB145, bitIndex2) <=> v124(constB145, bitIndex2)))),
% 9.09/6.65 inference(rewrite,[status(thm)],[])).
% 9.09/6.65 tff(21691,plain,
% 9.09/6.65 ((~![B: $i] : ((~less_3(B)) | (v121(constB145, B) <=> v124(constB145, B)))) | ((~less_3(bitIndex2)) | (v121(constB145, bitIndex2) <=> v124(constB145, bitIndex2)))),
% 9.09/6.65 inference(quant_inst,[status(thm)],[])).
% 9.09/6.65 tff(21692,plain,
% 9.09/6.65 ((~![B: $i] : ((~less_3(B)) | (v121(constB145, B) <=> v124(constB145, B)))) | (~less_3(bitIndex2)) | (v121(constB145, bitIndex2) <=> v124(constB145, bitIndex2))),
% 9.09/6.65 inference(modus_ponens,[status(thm)],[21691, 21690])).
% 9.09/6.65 tff(21693,plain,
% 9.09/6.65 (v121(constB145, bitIndex2) <=> v124(constB145, bitIndex2)),
% 9.09/6.65 inference(unit_resolution,[status(thm)],[21692, 832, 21689])).
% 9.09/6.65 tff(21694,plain,
% 9.09/6.65 ((~![VarCurr: $i] : (v113(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))))) | (v113(constB145) <=> (~(v84(constB145, bitIndex0) | v84(constB145, bitIndex1) | v84(constB145, bitIndex2))))),
% 9.09/6.65 inference(quant_inst,[status(thm)],[])).
% 9.09/6.65 tff(21695,plain,
% 9.09/6.65 (v113(constB145) <=> (~(v84(constB145, bitIndex0) | v84(constB145, bitIndex1) | v84(constB145, bitIndex2)))),
% 9.09/6.65 inference(unit_resolution,[status(thm)],[21694, 9739])).
% 9.09/6.65 tff(21696,plain,
% 9.09/6.65 ((v84(constB145, bitIndex0) | v84(constB145, bitIndex1) | v84(constB145, bitIndex2)) | (~v84(constB145, bitIndex2))),
% 9.09/6.65 inference(tautology,[status(thm)],[])).
% 9.09/6.65 tff(21697,plain,
% 9.09/6.65 (v84(constB145, bitIndex0) | v84(constB145, bitIndex1) | v84(constB145, bitIndex2)),
% 9.09/6.65 inference(unit_resolution,[status(thm)],[21696, 21571])).
% 9.09/6.65 tff(21698,plain,
% 9.09/6.65 ((~(v113(constB145) <=> (~(v84(constB145, bitIndex0) | v84(constB145, bitIndex1) | v84(constB145, bitIndex2))))) | (~v113(constB145)) | (~(v84(constB145, bitIndex0) | v84(constB145, bitIndex1) | v84(constB145, bitIndex2)))),
% 9.09/6.65 inference(tautology,[status(thm)],[])).
% 9.09/6.65 tff(21699,plain,
% 9.09/6.65 (~v113(constB145)),
% 9.09/6.65 inference(unit_resolution,[status(thm)],[21698, 21697, 21695])).
% 9.09/6.65 tff(21700,plain,
% 9.09/6.65 (((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB145) <=> (~((~v84(constB145, bitIndex2)) | v84(constB145, bitIndex1) | (~v84(constB145, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB145) <=> (~((~v84(constB145, bitIndex2)) | v84(constB145, bitIndex1) | (~v84(constB145, bitIndex0))))))),
% 9.09/6.65 inference(rewrite,[status(thm)],[])).
% 9.09/6.65 tff(21701,plain,
% 9.09/6.65 ((v118(constB145) <=> (~(v84(constB145, bitIndex1) | (~v84(constB145, bitIndex0)) | (~v84(constB145, bitIndex2))))) <=> (v118(constB145) <=> (~((~v84(constB145, bitIndex2)) | v84(constB145, bitIndex1) | (~v84(constB145, bitIndex0)))))),
% 9.09/6.65 inference(rewrite,[status(thm)],[])).
% 9.09/6.65 tff(21702,plain,
% 9.09/6.65 (((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB145) <=> (~(v84(constB145, bitIndex1) | (~v84(constB145, bitIndex0)) | (~v84(constB145, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB145) <=> (~((~v84(constB145, bitIndex2)) | v84(constB145, bitIndex1) | (~v84(constB145, bitIndex0))))))),
% 9.09/6.65 inference(monotonicity,[status(thm)],[21701])).
% 9.09/6.65 tff(21703,plain,
% 9.09/6.65 (((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB145) <=> (~(v84(constB145, bitIndex1) | (~v84(constB145, bitIndex0)) | (~v84(constB145, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB145) <=> (~((~v84(constB145, bitIndex2)) | v84(constB145, bitIndex1) | (~v84(constB145, bitIndex0))))))),
% 9.09/6.65 inference(transitivity,[status(thm)],[21702, 21700])).
% 9.09/6.65 tff(21704,plain,
% 9.09/6.65 ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB145) <=> (~(v84(constB145, bitIndex1) | (~v84(constB145, bitIndex0)) | (~v84(constB145, bitIndex2)))))),
% 9.09/6.65 inference(quant_inst,[status(thm)],[])).
% 9.09/6.65 tff(21705,plain,
% 9.09/6.65 ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB145) <=> (~((~v84(constB145, bitIndex2)) | v84(constB145, bitIndex1) | (~v84(constB145, bitIndex0)))))),
% 9.09/6.65 inference(modus_ponens,[status(thm)],[21704, 21703])).
% 9.09/6.65 tff(21706,plain,
% 9.09/6.65 (v118(constB145) <=> (~((~v84(constB145, bitIndex2)) | v84(constB145, bitIndex1) | (~v84(constB145, bitIndex0))))),
% 9.09/6.65 inference(unit_resolution,[status(thm)],[21705, 960])).
% 9.09/6.65 tff(21707,plain,
% 9.09/6.65 (((~v84(constB145, bitIndex2)) | v84(constB145, bitIndex1) | (~v84(constB145, bitIndex0))) | (~v84(constB145, bitIndex1))),
% 9.09/6.65 inference(tautology,[status(thm)],[])).
% 9.09/6.65 tff(21708,plain,
% 9.09/6.65 ((~v84(constB145, bitIndex2)) | v84(constB145, bitIndex1) | (~v84(constB145, bitIndex0))),
% 9.09/6.65 inference(unit_resolution,[status(thm)],[21707, 21633])).
% 9.09/6.65 tff(21709,plain,
% 9.09/6.65 ((~(v118(constB145) <=> (~((~v84(constB145, bitIndex2)) | v84(constB145, bitIndex1) | (~v84(constB145, bitIndex0)))))) | (~v118(constB145)) | (~((~v84(constB145, bitIndex2)) | v84(constB145, bitIndex1) | (~v84(constB145, bitIndex0))))),
% 9.09/6.65 inference(tautology,[status(thm)],[])).
% 9.09/6.65 tff(21710,plain,
% 9.09/6.65 (~v118(constB145)),
% 9.09/6.65 inference(unit_resolution,[status(thm)],[21709, 21708, 21706])).
% 9.09/6.65 tff(21711,plain,
% 9.09/6.65 (((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB145) <=> (~((~v84(constB145, bitIndex2)) | v84(constB145, bitIndex1) | v84(constB145, bitIndex0))))) <=> ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB145) <=> (~((~v84(constB145, bitIndex2)) | v84(constB145, bitIndex1) | v84(constB145, bitIndex0)))))),
% 9.09/6.65 inference(rewrite,[status(thm)],[])).
% 9.09/6.65 tff(21712,plain,
% 9.09/6.65 ((v117(constB145) <=> (~(v84(constB145, bitIndex0) | v84(constB145, bitIndex1) | (~v84(constB145, bitIndex2))))) <=> (v117(constB145) <=> (~((~v84(constB145, bitIndex2)) | v84(constB145, bitIndex1) | v84(constB145, bitIndex0))))),
% 9.09/6.65 inference(rewrite,[status(thm)],[])).
% 9.09/6.65 tff(21713,plain,
% 9.09/6.65 (((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB145) <=> (~(v84(constB145, bitIndex0) | v84(constB145, bitIndex1) | (~v84(constB145, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB145) <=> (~((~v84(constB145, bitIndex2)) | v84(constB145, bitIndex1) | v84(constB145, bitIndex0)))))),
% 9.09/6.65 inference(monotonicity,[status(thm)],[21712])).
% 9.09/6.65 tff(21714,plain,
% 9.09/6.65 (((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB145) <=> (~(v84(constB145, bitIndex0) | v84(constB145, bitIndex1) | (~v84(constB145, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB145) <=> (~((~v84(constB145, bitIndex2)) | v84(constB145, bitIndex1) | v84(constB145, bitIndex0)))))),
% 9.09/6.65 inference(transitivity,[status(thm)],[21713, 21711])).
% 9.09/6.65 tff(21715,plain,
% 9.09/6.65 ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB145) <=> (~(v84(constB145, bitIndex0) | v84(constB145, bitIndex1) | (~v84(constB145, bitIndex2)))))),
% 9.09/6.65 inference(quant_inst,[status(thm)],[])).
% 9.09/6.65 tff(21716,plain,
% 9.09/6.65 ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB145) <=> (~((~v84(constB145, bitIndex2)) | v84(constB145, bitIndex1) | v84(constB145, bitIndex0))))),
% 9.09/6.65 inference(modus_ponens,[status(thm)],[21715, 21714])).
% 9.09/6.65 tff(21717,plain,
% 9.09/6.65 (v117(constB145) <=> (~((~v84(constB145, bitIndex2)) | v84(constB145, bitIndex1) | v84(constB145, bitIndex0)))),
% 9.09/6.65 inference(unit_resolution,[status(thm)],[21716, 1071])).
% 9.09/6.65 tff(21718,plain,
% 9.09/6.65 (((~v84(constB145, bitIndex2)) | v84(constB145, bitIndex1) | v84(constB145, bitIndex0)) | (~v84(constB145, bitIndex1))),
% 9.09/6.65 inference(tautology,[status(thm)],[])).
% 9.09/6.65 tff(21719,plain,
% 9.09/6.65 ((~v84(constB145, bitIndex2)) | v84(constB145, bitIndex1) | v84(constB145, bitIndex0)),
% 9.09/6.65 inference(unit_resolution,[status(thm)],[21718, 21633])).
% 9.09/6.65 tff(21720,plain,
% 9.09/6.65 ((~(v117(constB145) <=> (~((~v84(constB145, bitIndex2)) | v84(constB145, bitIndex1) | v84(constB145, bitIndex0))))) | (~v117(constB145)) | (~((~v84(constB145, bitIndex2)) | v84(constB145, bitIndex1) | v84(constB145, bitIndex0)))),
% 9.09/6.65 inference(tautology,[status(thm)],[])).
% 9.09/6.65 tff(21721,plain,
% 9.09/6.65 (~v117(constB145)),
% 9.09/6.65 inference(unit_resolution,[status(thm)],[21720, 21719, 21717])).
% 9.09/6.65 tff(21722,plain,
% 9.09/6.65 ((~![VarCurr: $i] : (v116(VarCurr) <=> (~(v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex0)))))) | (v116(constB145) <=> (~(v84(constB145, bitIndex2) | (~v84(constB145, bitIndex1)) | (~v84(constB145, bitIndex0)))))),
% 9.09/6.65 inference(quant_inst,[status(thm)],[])).
% 9.09/6.65 tff(21723,plain,
% 9.09/6.65 (v116(constB145) <=> (~(v84(constB145, bitIndex2) | (~v84(constB145, bitIndex1)) | (~v84(constB145, bitIndex0))))),
% 9.09/6.65 inference(unit_resolution,[status(thm)],[21722, 1184])).
% 9.09/6.65 tff(21724,plain,
% 9.09/6.65 ((v84(constB145, bitIndex2) | (~v84(constB145, bitIndex1)) | (~v84(constB145, bitIndex0))) | (~v84(constB145, bitIndex2))),
% 9.09/6.65 inference(tautology,[status(thm)],[])).
% 9.09/6.65 tff(21725,plain,
% 9.09/6.65 (v84(constB145, bitIndex2) | (~v84(constB145, bitIndex1)) | (~v84(constB145, bitIndex0))),
% 9.09/6.65 inference(unit_resolution,[status(thm)],[21724, 21571])).
% 9.09/6.65 tff(21726,plain,
% 9.09/6.65 ((~(v116(constB145) <=> (~(v84(constB145, bitIndex2) | (~v84(constB145, bitIndex1)) | (~v84(constB145, bitIndex0)))))) | (~v116(constB145)) | (~(v84(constB145, bitIndex2) | (~v84(constB145, bitIndex1)) | (~v84(constB145, bitIndex0))))),
% 9.09/6.65 inference(tautology,[status(thm)],[])).
% 9.09/6.65 tff(21727,plain,
% 9.09/6.65 (~v116(constB145)),
% 9.09/6.65 inference(unit_resolution,[status(thm)],[21726, 21725, 21723])).
% 9.09/6.65 tff(21728,plain,
% 9.09/6.65 (((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB145) <=> (~(v84(constB145, bitIndex2) | (~v84(constB145, bitIndex1)) | v84(constB145, bitIndex0))))) <=> ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB145) <=> (~(v84(constB145, bitIndex2) | (~v84(constB145, bitIndex1)) | v84(constB145, bitIndex0)))))),
% 9.09/6.65 inference(rewrite,[status(thm)],[])).
% 9.09/6.65 tff(21729,plain,
% 9.09/6.65 ((v115(constB145) <=> (~(v84(constB145, bitIndex0) | v84(constB145, bitIndex2) | (~v84(constB145, bitIndex1))))) <=> (v115(constB145) <=> (~(v84(constB145, bitIndex2) | (~v84(constB145, bitIndex1)) | v84(constB145, bitIndex0))))),
% 9.09/6.65 inference(rewrite,[status(thm)],[])).
% 9.09/6.65 tff(21730,plain,
% 9.09/6.65 (((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB145) <=> (~(v84(constB145, bitIndex0) | v84(constB145, bitIndex2) | (~v84(constB145, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB145) <=> (~(v84(constB145, bitIndex2) | (~v84(constB145, bitIndex1)) | v84(constB145, bitIndex0)))))),
% 9.09/6.65 inference(monotonicity,[status(thm)],[21729])).
% 9.09/6.65 tff(21731,plain,
% 9.09/6.65 (((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB145) <=> (~(v84(constB145, bitIndex0) | v84(constB145, bitIndex2) | (~v84(constB145, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB145) <=> (~(v84(constB145, bitIndex2) | (~v84(constB145, bitIndex1)) | v84(constB145, bitIndex0)))))),
% 9.09/6.65 inference(transitivity,[status(thm)],[21730, 21728])).
% 9.09/6.65 tff(21732,plain,
% 9.09/6.65 ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB145) <=> (~(v84(constB145, bitIndex0) | v84(constB145, bitIndex2) | (~v84(constB145, bitIndex1)))))),
% 9.09/6.65 inference(quant_inst,[status(thm)],[])).
% 9.09/6.65 tff(21733,plain,
% 9.09/6.65 ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB145) <=> (~(v84(constB145, bitIndex2) | (~v84(constB145, bitIndex1)) | v84(constB145, bitIndex0))))),
% 9.09/6.65 inference(modus_ponens,[status(thm)],[21732, 21731])).
% 9.09/6.65 tff(21734,plain,
% 9.09/6.65 (v115(constB145) <=> (~(v84(constB145, bitIndex2) | (~v84(constB145, bitIndex1)) | v84(constB145, bitIndex0)))),
% 9.09/6.65 inference(unit_resolution,[status(thm)],[21733, 1294])).
% 9.09/6.65 tff(21735,plain,
% 9.09/6.65 ((v84(constB145, bitIndex2) | (~v84(constB145, bitIndex1)) | v84(constB145, bitIndex0)) | (~v84(constB145, bitIndex2))),
% 9.09/6.65 inference(tautology,[status(thm)],[])).
% 9.09/6.65 tff(21736,plain,
% 9.09/6.65 (v84(constB145, bitIndex2) | (~v84(constB145, bitIndex1)) | v84(constB145, bitIndex0)),
% 9.09/6.65 inference(unit_resolution,[status(thm)],[21735, 21571])).
% 9.09/6.65 tff(21737,plain,
% 9.09/6.65 ((~(v115(constB145) <=> (~(v84(constB145, bitIndex2) | (~v84(constB145, bitIndex1)) | v84(constB145, bitIndex0))))) | (~v115(constB145)) | (~(v84(constB145, bitIndex2) | (~v84(constB145, bitIndex1)) | v84(constB145, bitIndex0)))),
% 9.09/6.66 inference(tautology,[status(thm)],[])).
% 9.09/6.66 tff(21738,plain,
% 9.09/6.66 (~v115(constB145)),
% 9.09/6.66 inference(unit_resolution,[status(thm)],[21737, 21736, 21734])).
% 9.09/6.66 tff(21739,plain,
% 9.09/6.66 (((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB145) <=> (~(v84(constB145, bitIndex2) | v84(constB145, bitIndex1) | (~v84(constB145, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB145) <=> (~(v84(constB145, bitIndex2) | v84(constB145, bitIndex1) | (~v84(constB145, bitIndex0))))))),
% 9.09/6.66 inference(rewrite,[status(thm)],[])).
% 9.09/6.66 tff(21740,plain,
% 9.09/6.66 ((v114(constB145) <=> (~(v84(constB145, bitIndex1) | v84(constB145, bitIndex2) | (~v84(constB145, bitIndex0))))) <=> (v114(constB145) <=> (~(v84(constB145, bitIndex2) | v84(constB145, bitIndex1) | (~v84(constB145, bitIndex0)))))),
% 9.09/6.66 inference(rewrite,[status(thm)],[])).
% 9.09/6.66 tff(21741,plain,
% 9.09/6.66 (((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB145) <=> (~(v84(constB145, bitIndex1) | v84(constB145, bitIndex2) | (~v84(constB145, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB145) <=> (~(v84(constB145, bitIndex2) | v84(constB145, bitIndex1) | (~v84(constB145, bitIndex0))))))),
% 9.09/6.66 inference(monotonicity,[status(thm)],[21740])).
% 9.09/6.66 tff(21742,plain,
% 9.09/6.66 (((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB145) <=> (~(v84(constB145, bitIndex1) | v84(constB145, bitIndex2) | (~v84(constB145, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB145) <=> (~(v84(constB145, bitIndex2) | v84(constB145, bitIndex1) | (~v84(constB145, bitIndex0))))))),
% 9.09/6.66 inference(transitivity,[status(thm)],[21741, 21739])).
% 9.09/6.66 tff(21743,plain,
% 9.09/6.66 ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB145) <=> (~(v84(constB145, bitIndex1) | v84(constB145, bitIndex2) | (~v84(constB145, bitIndex0)))))),
% 9.09/6.66 inference(quant_inst,[status(thm)],[])).
% 9.09/6.66 tff(21744,plain,
% 9.09/6.66 ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB145) <=> (~(v84(constB145, bitIndex2) | v84(constB145, bitIndex1) | (~v84(constB145, bitIndex0)))))),
% 9.09/6.66 inference(modus_ponens,[status(thm)],[21743, 21742])).
% 9.09/6.66 tff(21745,plain,
% 9.09/6.66 (v114(constB145) <=> (~(v84(constB145, bitIndex2) | v84(constB145, bitIndex1) | (~v84(constB145, bitIndex0))))),
% 9.09/6.66 inference(unit_resolution,[status(thm)],[21744, 1411])).
% 9.09/6.66 tff(21746,plain,
% 9.09/6.66 ((v84(constB145, bitIndex2) | v84(constB145, bitIndex1) | (~v84(constB145, bitIndex0))) | (~v84(constB145, bitIndex2))),
% 9.09/6.66 inference(tautology,[status(thm)],[])).
% 9.09/6.66 tff(21747,plain,
% 9.09/6.66 (v84(constB145, bitIndex2) | v84(constB145, bitIndex1) | (~v84(constB145, bitIndex0))),
% 9.09/6.66 inference(unit_resolution,[status(thm)],[21746, 21571])).
% 9.09/6.66 tff(21748,plain,
% 9.09/6.66 ((~(v114(constB145) <=> (~(v84(constB145, bitIndex2) | v84(constB145, bitIndex1) | (~v84(constB145, bitIndex0)))))) | (~v114(constB145)) | (~(v84(constB145, bitIndex2) | v84(constB145, bitIndex1) | (~v84(constB145, bitIndex0))))),
% 9.09/6.66 inference(tautology,[status(thm)],[])).
% 9.09/6.66 tff(21749,plain,
% 9.09/6.66 (~v114(constB145)),
% 9.09/6.66 inference(unit_resolution,[status(thm)],[21748, 21747, 21745])).
% 9.09/6.66 tff(21750,plain,
% 9.09/6.66 (((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | (v113(constB145) | v114(constB145) | v115(constB145) | v116(constB145) | v117(constB145) | v118(constB145) | ![B: $i] : ((~less_3(B)) | (v124(constB145, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | v113(constB145) | v114(constB145) | v115(constB145) | v116(constB145) | v117(constB145) | v118(constB145) | ![B: $i] : ((~less_3(B)) | (v124(constB145, B) <=> b001(B))))),
% 9.09/6.66 inference(rewrite,[status(thm)],[])).
% 9.09/6.66 tff(21751,plain,
% 9.09/6.66 ((v118(constB145) | v117(constB145) | v116(constB145) | v115(constB145) | v114(constB145) | v113(constB145) | ![B: $i] : ((~less_3(B)) | (v124(constB145, B) <=> b001(B)))) <=> (v113(constB145) | v114(constB145) | v115(constB145) | v116(constB145) | v117(constB145) | v118(constB145) | ![B: $i] : ((~less_3(B)) | (v124(constB145, B) <=> b001(B))))),
% 9.09/6.66 inference(rewrite,[status(thm)],[])).
% 9.09/6.66 tff(21752,plain,
% 9.09/6.66 (((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | (v118(constB145) | v117(constB145) | v116(constB145) | v115(constB145) | v114(constB145) | v113(constB145) | ![B: $i] : ((~less_3(B)) | (v124(constB145, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | (v113(constB145) | v114(constB145) | v115(constB145) | v116(constB145) | v117(constB145) | v118(constB145) | ![B: $i] : ((~less_3(B)) | (v124(constB145, B) <=> b001(B)))))),
% 9.09/6.66 inference(monotonicity,[status(thm)],[21751])).
% 9.09/6.66 tff(21753,plain,
% 9.09/6.66 (((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | (v118(constB145) | v117(constB145) | v116(constB145) | v115(constB145) | v114(constB145) | v113(constB145) | ![B: $i] : ((~less_3(B)) | (v124(constB145, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | v113(constB145) | v114(constB145) | v115(constB145) | v116(constB145) | v117(constB145) | v118(constB145) | ![B: $i] : ((~less_3(B)) | (v124(constB145, B) <=> b001(B))))),
% 9.09/6.66 inference(transitivity,[status(thm)],[21752, 21750])).
% 9.09/6.66 tff(21754,plain,
% 9.09/6.66 ((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | (v118(constB145) | v117(constB145) | v116(constB145) | v115(constB145) | v114(constB145) | v113(constB145) | ![B: $i] : ((~less_3(B)) | (v124(constB145, B) <=> b001(B))))),
% 9.09/6.66 inference(quant_inst,[status(thm)],[])).
% 9.09/6.66 tff(21755,plain,
% 9.09/6.66 ((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | v113(constB145) | v114(constB145) | v115(constB145) | v116(constB145) | v117(constB145) | v118(constB145) | ![B: $i] : ((~less_3(B)) | (v124(constB145, B) <=> b001(B)))),
% 9.09/6.66 inference(modus_ponens,[status(thm)],[21754, 21753])).
% 9.09/6.66 tff(21756,plain,
% 9.09/6.66 (v113(constB145) | v114(constB145) | v115(constB145) | v116(constB145) | v117(constB145) | v118(constB145) | ![B: $i] : ((~less_3(B)) | (v124(constB145, B) <=> b001(B)))),
% 9.09/6.66 inference(unit_resolution,[status(thm)],[21755, 11068])).
% 9.09/6.66 tff(21757,plain,
% 9.09/6.66 (![B: $i] : ((~less_3(B)) | (v124(constB145, B) <=> b001(B)))),
% 9.09/6.66 inference(unit_resolution,[status(thm)],[21756, 21749, 21738, 21727, 21721, 21710, 21699])).
% 9.09/6.66 tff(21758,plain,
% 9.09/6.66 (((~![B: $i] : ((~less_3(B)) | (v124(constB145, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v124(constB145, bitIndex2) <=> b001(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB145, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v124(constB145, bitIndex2) <=> b001(bitIndex2)))),
% 9.09/6.66 inference(rewrite,[status(thm)],[])).
% 9.09/6.66 tff(21759,plain,
% 9.09/6.66 ((~![B: $i] : ((~less_3(B)) | (v124(constB145, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v124(constB145, bitIndex2) <=> b001(bitIndex2)))),
% 9.09/6.66 inference(quant_inst,[status(thm)],[])).
% 9.09/6.66 tff(21760,plain,
% 9.09/6.66 ((~![B: $i] : ((~less_3(B)) | (v124(constB145, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v124(constB145, bitIndex2) <=> b001(bitIndex2))),
% 9.09/6.66 inference(modus_ponens,[status(thm)],[21759, 21758])).
% 9.09/6.66 tff(21761,plain,
% 9.09/6.66 (v124(constB145, bitIndex2) <=> b001(bitIndex2)),
% 9.09/6.66 inference(unit_resolution,[status(thm)],[21760, 832, 21757])).
% 9.09/6.66 tff(21762,plain,
% 9.09/6.66 ((~(v124(constB145, bitIndex2) <=> b001(bitIndex2))) | (~v124(constB145, bitIndex2)) | b001(bitIndex2)),
% 9.09/6.66 inference(tautology,[status(thm)],[])).
% 9.09/6.66 tff(21763,plain,
% 9.09/6.66 ((~(v124(constB145, bitIndex2) <=> b001(bitIndex2))) | (~v124(constB145, bitIndex2))),
% 9.09/6.66 inference(unit_resolution,[status(thm)],[21762, 9977])).
% 9.09/6.66 tff(21764,plain,
% 9.09/6.66 (~v124(constB145, bitIndex2)),
% 9.09/6.66 inference(unit_resolution,[status(thm)],[21763, 21761])).
% 9.09/6.66 tff(21765,plain,
% 9.09/6.66 ((~(v121(constB145, bitIndex2) <=> v124(constB145, bitIndex2))) | (~v121(constB145, bitIndex2)) | v124(constB145, bitIndex2)),
% 9.09/6.66 inference(tautology,[status(thm)],[])).
% 9.09/6.66 tff(21766,plain,
% 9.09/6.66 (~v121(constB145, bitIndex2)),
% 9.09/6.66 inference(unit_resolution,[status(thm)],[21765, 21764, 21693])).
% 9.09/6.66 tff(21767,plain,
% 9.09/6.66 ((~(v123(constB146, bitIndex2) <=> v121(constB145, bitIndex2))) | (~v123(constB146, bitIndex2)) | v121(constB145, bitIndex2)),
% 9.09/6.66 inference(tautology,[status(thm)],[])).
% 9.09/6.66 tff(21768,plain,
% 9.09/6.66 (~v123(constB146, bitIndex2)),
% 9.09/6.66 inference(unit_resolution,[status(thm)],[21767, 21766, 21685])).
% 9.09/6.66 tff(21769,plain,
% 9.09/6.66 ((~(v84(constB146, bitIndex2) <=> v123(constB146, bitIndex2))) | (~v84(constB146, bitIndex2)) | v123(constB146, bitIndex2)),
% 9.09/6.66 inference(tautology,[status(thm)],[])).
% 9.09/6.66 tff(21770,plain,
% 9.09/6.66 (~v84(constB146, bitIndex2)),
% 9.09/6.66 inference(unit_resolution,[status(thm)],[21769, 21768, 21677])).
% 9.09/6.66 tff(21771,plain,
% 9.09/6.66 ((~(v84(constB147, bitIndex2) <=> v84(constB146, bitIndex2))) | (~v84(constB147, bitIndex2)) | v84(constB146, bitIndex2)),
% 9.09/6.66 inference(tautology,[status(thm)],[])).
% 9.09/6.66 tff(21772,plain,
% 9.09/6.66 (~v84(constB147, bitIndex2)),
% 9.09/6.66 inference(unit_resolution,[status(thm)],[21771, 21770, 3104])).
% 9.09/6.66 tff(21773,plain,
% 9.09/6.66 (((~![B: $i] : ((~less_3(B)) | (v84(constB147, B) <=> v84(constB146, B)))) | ((~less_3(bitIndex0)) | (v84(constB147, bitIndex0) <=> v84(constB146, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB147, B) <=> v84(constB146, B)))) | (~less_3(bitIndex0)) | (v84(constB147, bitIndex0) <=> v84(constB146, bitIndex0)))),
% 9.09/6.66 inference(rewrite,[status(thm)],[])).
% 9.09/6.66 tff(21774,plain,
% 9.09/6.66 ((~![B: $i] : ((~less_3(B)) | (v84(constB147, B) <=> v84(constB146, B)))) | ((~less_3(bitIndex0)) | (v84(constB147, bitIndex0) <=> v84(constB146, bitIndex0)))),
% 9.09/6.66 inference(quant_inst,[status(thm)],[])).
% 9.09/6.66 tff(21775,plain,
% 9.09/6.66 ((~![B: $i] : ((~less_3(B)) | (v84(constB147, B) <=> v84(constB146, B)))) | (~less_3(bitIndex0)) | (v84(constB147, bitIndex0) <=> v84(constB146, bitIndex0))),
% 9.09/6.66 inference(modus_ponens,[status(thm)],[21774, 21773])).
% 9.09/6.66 tff(21776,plain,
% 9.09/6.66 (v84(constB147, bitIndex0) <=> v84(constB146, bitIndex0)),
% 9.09/6.66 inference(unit_resolution,[status(thm)],[21775, 9772, 3100])).
% 9.09/6.66 tff(21777,plain,
% 9.09/6.66 (((~![B: $i] : ((~less_3(B)) | (v84(constB146, B) <=> v123(constB146, B)))) | ((~less_3(bitIndex0)) | (v84(constB146, bitIndex0) <=> v123(constB146, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB146, B) <=> v123(constB146, B)))) | (~less_3(bitIndex0)) | (v84(constB146, bitIndex0) <=> v123(constB146, bitIndex0)))),
% 9.09/6.66 inference(rewrite,[status(thm)],[])).
% 9.09/6.66 tff(21778,plain,
% 9.09/6.66 ((~![B: $i] : ((~less_3(B)) | (v84(constB146, B) <=> v123(constB146, B)))) | ((~less_3(bitIndex0)) | (v84(constB146, bitIndex0) <=> v123(constB146, bitIndex0)))),
% 9.09/6.66 inference(quant_inst,[status(thm)],[])).
% 9.09/6.66 tff(21779,plain,
% 9.09/6.66 ((~![B: $i] : ((~less_3(B)) | (v84(constB146, B) <=> v123(constB146, B)))) | (~less_3(bitIndex0)) | (v84(constB146, bitIndex0) <=> v123(constB146, bitIndex0))),
% 9.09/6.66 inference(modus_ponens,[status(thm)],[21778, 21777])).
% 9.09/6.66 tff(21780,plain,
% 9.09/6.66 (v84(constB146, bitIndex0) <=> v123(constB146, bitIndex0)),
% 9.09/6.66 inference(unit_resolution,[status(thm)],[21779, 9772, 21673])).
% 9.09/6.66 tff(21781,plain,
% 9.09/6.66 (((~![B: $i] : ((~less_3(B)) | (v123(constB146, B) <=> v121(constB145, B)))) | ((~less_3(bitIndex0)) | (v123(constB146, bitIndex0) <=> v121(constB145, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB146, B) <=> v121(constB145, B)))) | (~less_3(bitIndex0)) | (v123(constB146, bitIndex0) <=> v121(constB145, bitIndex0)))),
% 9.09/6.66 inference(rewrite,[status(thm)],[])).
% 9.09/6.66 tff(21782,plain,
% 9.09/6.66 ((~![B: $i] : ((~less_3(B)) | (v123(constB146, B) <=> v121(constB145, B)))) | ((~less_3(bitIndex0)) | (v123(constB146, bitIndex0) <=> v121(constB145, bitIndex0)))),
% 9.09/6.66 inference(quant_inst,[status(thm)],[])).
% 9.09/6.66 tff(21783,plain,
% 9.09/6.66 ((~![B: $i] : ((~less_3(B)) | (v123(constB146, B) <=> v121(constB145, B)))) | (~less_3(bitIndex0)) | (v123(constB146, bitIndex0) <=> v121(constB145, bitIndex0))),
% 9.09/6.66 inference(modus_ponens,[status(thm)],[21782, 21781])).
% 9.09/6.66 tff(21784,plain,
% 9.09/6.66 (v123(constB146, bitIndex0) <=> v121(constB145, bitIndex0)),
% 9.09/6.66 inference(unit_resolution,[status(thm)],[21783, 9772, 21681])).
% 9.09/6.66 tff(21785,plain,
% 9.09/6.66 (((~![B: $i] : ((~less_3(B)) | (v121(constB145, B) <=> v124(constB145, B)))) | ((~less_3(bitIndex0)) | (v121(constB145, bitIndex0) <=> v124(constB145, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB145, B) <=> v124(constB145, B)))) | (~less_3(bitIndex0)) | (v121(constB145, bitIndex0) <=> v124(constB145, bitIndex0)))),
% 9.09/6.66 inference(rewrite,[status(thm)],[])).
% 9.09/6.66 tff(21786,plain,
% 9.09/6.66 ((~![B: $i] : ((~less_3(B)) | (v121(constB145, B) <=> v124(constB145, B)))) | ((~less_3(bitIndex0)) | (v121(constB145, bitIndex0) <=> v124(constB145, bitIndex0)))),
% 9.09/6.66 inference(quant_inst,[status(thm)],[])).
% 9.09/6.66 tff(21787,plain,
% 9.09/6.66 ((~![B: $i] : ((~less_3(B)) | (v121(constB145, B) <=> v124(constB145, B)))) | (~less_3(bitIndex0)) | (v121(constB145, bitIndex0) <=> v124(constB145, bitIndex0))),
% 9.09/6.66 inference(modus_ponens,[status(thm)],[21786, 21785])).
% 9.09/6.66 tff(21788,plain,
% 9.09/6.66 (v121(constB145, bitIndex0) <=> v124(constB145, bitIndex0)),
% 9.09/6.66 inference(unit_resolution,[status(thm)],[21787, 9772, 21689])).
% 9.09/6.66 tff(21789,plain,
% 9.09/6.66 (((~![B: $i] : ((~less_3(B)) | (v124(constB145, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v124(constB145, bitIndex0) <=> b001(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB145, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v124(constB145, bitIndex0) <=> b001(bitIndex0)))),
% 9.09/6.66 inference(rewrite,[status(thm)],[])).
% 9.09/6.66 tff(21790,plain,
% 9.09/6.66 ((~![B: $i] : ((~less_3(B)) | (v124(constB145, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v124(constB145, bitIndex0) <=> b001(bitIndex0)))),
% 9.09/6.66 inference(quant_inst,[status(thm)],[])).
% 9.09/6.66 tff(21791,plain,
% 9.09/6.66 ((~![B: $i] : ((~less_3(B)) | (v124(constB145, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v124(constB145, bitIndex0) <=> b001(bitIndex0))),
% 9.09/6.66 inference(modus_ponens,[status(thm)],[21790, 21789])).
% 9.09/6.66 tff(21792,plain,
% 9.09/6.66 (v124(constB145, bitIndex0) <=> b001(bitIndex0)),
% 9.09/6.66 inference(unit_resolution,[status(thm)],[21791, 9772, 21757])).
% 9.09/6.66 tff(21793,plain,
% 9.09/6.66 ((~(v124(constB145, bitIndex0) <=> b001(bitIndex0))) | v124(constB145, bitIndex0) | (~b001(bitIndex0))),
% 9.09/6.66 inference(tautology,[status(thm)],[])).
% 9.09/6.66 tff(21794,plain,
% 9.09/6.66 ((~(v124(constB145, bitIndex0) <=> b001(bitIndex0))) | v124(constB145, bitIndex0)),
% 9.09/6.66 inference(unit_resolution,[status(thm)],[21793, 10011])).
% 9.09/6.66 tff(21795,plain,
% 9.09/6.66 (v124(constB145, bitIndex0)),
% 9.09/6.66 inference(unit_resolution,[status(thm)],[21794, 21792])).
% 9.09/6.66 tff(21796,plain,
% 9.09/6.66 ((~(v121(constB145, bitIndex0) <=> v124(constB145, bitIndex0))) | v121(constB145, bitIndex0) | (~v124(constB145, bitIndex0))),
% 9.09/6.66 inference(tautology,[status(thm)],[])).
% 9.09/6.66 tff(21797,plain,
% 9.09/6.66 (v121(constB145, bitIndex0)),
% 9.09/6.66 inference(unit_resolution,[status(thm)],[21796, 21795, 21788])).
% 9.09/6.66 tff(21798,plain,
% 9.09/6.66 ((~(v123(constB146, bitIndex0) <=> v121(constB145, bitIndex0))) | v123(constB146, bitIndex0) | (~v121(constB145, bitIndex0))),
% 9.09/6.66 inference(tautology,[status(thm)],[])).
% 9.09/6.66 tff(21799,plain,
% 9.09/6.66 (v123(constB146, bitIndex0)),
% 9.09/6.66 inference(unit_resolution,[status(thm)],[21798, 21797, 21784])).
% 9.09/6.66 tff(21800,plain,
% 9.09/6.66 ((~(v84(constB146, bitIndex0) <=> v123(constB146, bitIndex0))) | v84(constB146, bitIndex0) | (~v123(constB146, bitIndex0))),
% 9.09/6.66 inference(tautology,[status(thm)],[])).
% 9.09/6.66 tff(21801,plain,
% 9.09/6.66 (v84(constB146, bitIndex0)),
% 9.09/6.66 inference(unit_resolution,[status(thm)],[21800, 21799, 21780])).
% 9.09/6.66 tff(21802,plain,
% 9.09/6.66 ((~(v84(constB147, bitIndex0) <=> v84(constB146, bitIndex0))) | v84(constB147, bitIndex0) | (~v84(constB146, bitIndex0))),
% 9.09/6.66 inference(tautology,[status(thm)],[])).
% 9.09/6.66 tff(21803,plain,
% 9.09/6.66 (v84(constB147, bitIndex0)),
% 9.09/6.66 inference(unit_resolution,[status(thm)],[21802, 21801, 21776])).
% 9.09/6.66 tff(21804,plain,
% 9.09/6.66 (((~![B: $i] : ((~less_3(B)) | (v84(constB147, B) <=> v84(constB146, B)))) | ((~less_3(bitIndex1)) | (v84(constB147, bitIndex1) <=> v84(constB146, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB147, B) <=> v84(constB146, B)))) | (~less_3(bitIndex1)) | (v84(constB147, bitIndex1) <=> v84(constB146, bitIndex1)))),
% 9.09/6.66 inference(rewrite,[status(thm)],[])).
% 9.09/6.66 tff(21805,plain,
% 9.09/6.66 ((~![B: $i] : ((~less_3(B)) | (v84(constB147, B) <=> v84(constB146, B)))) | ((~less_3(bitIndex1)) | (v84(constB147, bitIndex1) <=> v84(constB146, bitIndex1)))),
% 9.09/6.66 inference(quant_inst,[status(thm)],[])).
% 9.09/6.66 tff(21806,plain,
% 9.09/6.66 ((~![B: $i] : ((~less_3(B)) | (v84(constB147, B) <=> v84(constB146, B)))) | (~less_3(bitIndex1)) | (v84(constB147, bitIndex1) <=> v84(constB146, bitIndex1))),
% 9.09/6.66 inference(modus_ponens,[status(thm)],[21805, 21804])).
% 9.09/6.66 tff(21807,plain,
% 9.09/6.66 (v84(constB147, bitIndex1) <=> v84(constB146, bitIndex1)),
% 9.09/6.66 inference(unit_resolution,[status(thm)],[21806, 9785, 3100])).
% 9.09/6.66 tff(21808,plain,
% 9.09/6.66 (((~![B: $i] : ((~less_3(B)) | (v84(constB146, B) <=> v123(constB146, B)))) | ((~less_3(bitIndex1)) | (v84(constB146, bitIndex1) <=> v123(constB146, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB146, B) <=> v123(constB146, B)))) | (~less_3(bitIndex1)) | (v84(constB146, bitIndex1) <=> v123(constB146, bitIndex1)))),
% 9.09/6.66 inference(rewrite,[status(thm)],[])).
% 9.09/6.66 tff(21809,plain,
% 9.09/6.66 ((~![B: $i] : ((~less_3(B)) | (v84(constB146, B) <=> v123(constB146, B)))) | ((~less_3(bitIndex1)) | (v84(constB146, bitIndex1) <=> v123(constB146, bitIndex1)))),
% 9.09/6.66 inference(quant_inst,[status(thm)],[])).
% 9.09/6.66 tff(21810,plain,
% 9.09/6.66 ((~![B: $i] : ((~less_3(B)) | (v84(constB146, B) <=> v123(constB146, B)))) | (~less_3(bitIndex1)) | (v84(constB146, bitIndex1) <=> v123(constB146, bitIndex1))),
% 9.09/6.66 inference(modus_ponens,[status(thm)],[21809, 21808])).
% 9.09/6.66 tff(21811,plain,
% 9.09/6.66 (v84(constB146, bitIndex1) <=> v123(constB146, bitIndex1)),
% 9.09/6.66 inference(unit_resolution,[status(thm)],[21810, 9785, 21673])).
% 9.09/6.66 tff(21812,plain,
% 9.09/6.66 (((~![B: $i] : ((~less_3(B)) | (v123(constB146, B) <=> v121(constB145, B)))) | ((~less_3(bitIndex1)) | (v123(constB146, bitIndex1) <=> v121(constB145, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB146, B) <=> v121(constB145, B)))) | (~less_3(bitIndex1)) | (v123(constB146, bitIndex1) <=> v121(constB145, bitIndex1)))),
% 9.09/6.66 inference(rewrite,[status(thm)],[])).
% 9.09/6.66 tff(21813,plain,
% 9.09/6.66 ((~![B: $i] : ((~less_3(B)) | (v123(constB146, B) <=> v121(constB145, B)))) | ((~less_3(bitIndex1)) | (v123(constB146, bitIndex1) <=> v121(constB145, bitIndex1)))),
% 9.09/6.66 inference(quant_inst,[status(thm)],[])).
% 9.09/6.66 tff(21814,plain,
% 9.09/6.66 ((~![B: $i] : ((~less_3(B)) | (v123(constB146, B) <=> v121(constB145, B)))) | (~less_3(bitIndex1)) | (v123(constB146, bitIndex1) <=> v121(constB145, bitIndex1))),
% 9.09/6.66 inference(modus_ponens,[status(thm)],[21813, 21812])).
% 9.09/6.66 tff(21815,plain,
% 9.09/6.66 (v123(constB146, bitIndex1) <=> v121(constB145, bitIndex1)),
% 9.09/6.66 inference(unit_resolution,[status(thm)],[21814, 9785, 21681])).
% 9.09/6.66 tff(21816,plain,
% 9.09/6.66 (((~![B: $i] : ((~less_3(B)) | (v121(constB145, B) <=> v124(constB145, B)))) | ((~less_3(bitIndex1)) | (v121(constB145, bitIndex1) <=> v124(constB145, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB145, B) <=> v124(constB145, B)))) | (~less_3(bitIndex1)) | (v121(constB145, bitIndex1) <=> v124(constB145, bitIndex1)))),
% 9.09/6.66 inference(rewrite,[status(thm)],[])).
% 9.09/6.66 tff(21817,plain,
% 9.09/6.66 ((~![B: $i] : ((~less_3(B)) | (v121(constB145, B) <=> v124(constB145, B)))) | ((~less_3(bitIndex1)) | (v121(constB145, bitIndex1) <=> v124(constB145, bitIndex1)))),
% 9.09/6.66 inference(quant_inst,[status(thm)],[])).
% 9.09/6.66 tff(21818,plain,
% 9.09/6.66 ((~![B: $i] : ((~less_3(B)) | (v121(constB145, B) <=> v124(constB145, B)))) | (~less_3(bitIndex1)) | (v121(constB145, bitIndex1) <=> v124(constB145, bitIndex1))),
% 9.09/6.66 inference(modus_ponens,[status(thm)],[21817, 21816])).
% 9.09/6.66 tff(21819,plain,
% 9.09/6.66 (v121(constB145, bitIndex1) <=> v124(constB145, bitIndex1)),
% 9.09/6.66 inference(unit_resolution,[status(thm)],[21818, 9785, 21689])).
% 9.09/6.66 tff(21820,plain,
% 9.09/6.66 (((~![B: $i] : ((~less_3(B)) | (v124(constB145, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v124(constB145, bitIndex1) <=> b001(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB145, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v124(constB145, bitIndex1) <=> b001(bitIndex1)))),
% 9.09/6.66 inference(rewrite,[status(thm)],[])).
% 9.09/6.66 tff(21821,plain,
% 9.09/6.66 ((~![B: $i] : ((~less_3(B)) | (v124(constB145, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v124(constB145, bitIndex1) <=> b001(bitIndex1)))),
% 9.09/6.66 inference(quant_inst,[status(thm)],[])).
% 9.09/6.66 tff(21822,plain,
% 9.09/6.66 ((~![B: $i] : ((~less_3(B)) | (v124(constB145, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v124(constB145, bitIndex1) <=> b001(bitIndex1))),
% 9.09/6.66 inference(modus_ponens,[status(thm)],[21821, 21820])).
% 9.09/6.66 tff(21823,plain,
% 9.09/6.66 (v124(constB145, bitIndex1) <=> b001(bitIndex1)),
% 9.09/6.66 inference(unit_resolution,[status(thm)],[21822, 9785, 21757])).
% 9.09/6.66 tff(21824,plain,
% 9.09/6.66 ((~(v124(constB145, bitIndex1) <=> b001(bitIndex1))) | (~v124(constB145, bitIndex1)) | b001(bitIndex1)),
% 9.09/6.66 inference(tautology,[status(thm)],[])).
% 9.09/6.66 tff(21825,plain,
% 9.09/6.66 ((~(v124(constB145, bitIndex1) <=> b001(bitIndex1))) | (~v124(constB145, bitIndex1))),
% 9.09/6.66 inference(unit_resolution,[status(thm)],[21824, 10045])).
% 9.09/6.66 tff(21826,plain,
% 9.09/6.66 (~v124(constB145, bitIndex1)),
% 9.09/6.66 inference(unit_resolution,[status(thm)],[21825, 21823])).
% 9.09/6.66 tff(21827,plain,
% 9.09/6.66 ((~(v121(constB145, bitIndex1) <=> v124(constB145, bitIndex1))) | (~v121(constB145, bitIndex1)) | v124(constB145, bitIndex1)),
% 9.09/6.66 inference(tautology,[status(thm)],[])).
% 9.09/6.66 tff(21828,plain,
% 9.09/6.66 (~v121(constB145, bitIndex1)),
% 9.09/6.66 inference(unit_resolution,[status(thm)],[21827, 21826, 21819])).
% 9.09/6.66 tff(21829,plain,
% 9.09/6.66 ((~(v123(constB146, bitIndex1) <=> v121(constB145, bitIndex1))) | (~v123(constB146, bitIndex1)) | v121(constB145, bitIndex1)),
% 9.09/6.66 inference(tautology,[status(thm)],[])).
% 9.09/6.66 tff(21830,plain,
% 9.09/6.66 (~v123(constB146, bitIndex1)),
% 9.09/6.66 inference(unit_resolution,[status(thm)],[21829, 21828, 21815])).
% 9.09/6.66 tff(21831,plain,
% 9.09/6.66 ((~(v84(constB146, bitIndex1) <=> v123(constB146, bitIndex1))) | (~v84(constB146, bitIndex1)) | v123(constB146, bitIndex1)),
% 9.09/6.66 inference(tautology,[status(thm)],[])).
% 9.09/6.66 tff(21832,plain,
% 9.09/6.66 (~v84(constB146, bitIndex1)),
% 9.09/6.66 inference(unit_resolution,[status(thm)],[21831, 21830, 21811])).
% 9.09/6.66 tff(21833,plain,
% 9.09/6.66 ((~(v84(constB147, bitIndex1) <=> v84(constB146, bitIndex1))) | (~v84(constB147, bitIndex1)) | v84(constB146, bitIndex1)),
% 9.09/6.66 inference(tautology,[status(thm)],[])).
% 9.09/6.66 tff(21834,plain,
% 9.09/6.66 (~v84(constB147, bitIndex1)),
% 9.09/6.66 inference(unit_resolution,[status(thm)],[21833, 21832, 21807])).
% 9.09/6.66 tff(21835,plain,
% 9.09/6.66 ((~(v84(constB147, bitIndex2) | v84(constB147, bitIndex1) | (~v84(constB147, bitIndex0)))) | v84(constB147, bitIndex2) | v84(constB147, bitIndex1) | (~v84(constB147, bitIndex0))),
% 9.09/6.66 inference(tautology,[status(thm)],[])).
% 9.09/6.66 tff(21836,plain,
% 9.09/6.66 (~(v84(constB147, bitIndex2) | v84(constB147, bitIndex1) | (~v84(constB147, bitIndex0)))),
% 9.09/6.66 inference(unit_resolution,[status(thm)],[21835, 21834, 21803, 21772])).
% 9.09/6.66 tff(21837,plain,
% 9.09/6.66 ((~(v114(constB147) <=> (~(v84(constB147, bitIndex2) | v84(constB147, bitIndex1) | (~v84(constB147, bitIndex0)))))) | v114(constB147) | (v84(constB147, bitIndex2) | v84(constB147, bitIndex1) | (~v84(constB147, bitIndex0)))),
% 9.09/6.66 inference(tautology,[status(thm)],[])).
% 9.09/6.66 tff(21838,plain,
% 9.09/6.66 (v114(constB147)),
% 9.09/6.66 inference(unit_resolution,[status(thm)],[21837, 21836, 3072])).
% 9.09/6.66 tff(21839,plain,
% 9.09/6.66 ((v113(constB147) | v114(constB147)) | (~v114(constB147))),
% 9.09/6.66 inference(tautology,[status(thm)],[])).
% 9.09/6.66 tff(21840,plain,
% 9.09/6.66 (v113(constB147) | v114(constB147)),
% 9.09/6.66 inference(unit_resolution,[status(thm)],[21839, 21838])).
% 9.09/6.66 tff(21841,plain,
% 9.09/6.66 ((~(v112(constB147) <=> (v113(constB147) | v114(constB147)))) | v112(constB147) | (~(v113(constB147) | v114(constB147)))),
% 9.09/6.66 inference(tautology,[status(thm)],[])).
% 9.09/6.66 tff(21842,plain,
% 9.09/6.66 (v112(constB147)),
% 9.09/6.66 inference(unit_resolution,[status(thm)],[21841, 21840, 3065])).
% 9.09/6.66 tff(21843,plain,
% 9.09/6.66 ((v112(constB147) | v115(constB147)) | (~v112(constB147))),
% 9.09/6.66 inference(tautology,[status(thm)],[])).
% 9.09/6.66 tff(21844,plain,
% 9.09/6.66 (v112(constB147) | v115(constB147)),
% 9.09/6.66 inference(unit_resolution,[status(thm)],[21843, 21842])).
% 9.09/6.66 tff(21845,plain,
% 9.09/6.66 ((~(v111(constB147) <=> (v112(constB147) | v115(constB147)))) | v111(constB147) | (~(v112(constB147) | v115(constB147)))),
% 9.09/6.66 inference(tautology,[status(thm)],[])).
% 9.09/6.66 tff(21846,plain,
% 9.09/6.66 (v111(constB147)),
% 9.09/6.66 inference(unit_resolution,[status(thm)],[21845, 21844, 3063])).
% 9.09/6.66 tff(21847,plain,
% 9.09/6.66 ((v111(constB147) | v116(constB147)) | (~v111(constB147))),
% 9.09/6.66 inference(tautology,[status(thm)],[])).
% 9.09/6.66 tff(21848,plain,
% 9.09/6.66 (v111(constB147) | v116(constB147)),
% 9.09/6.66 inference(unit_resolution,[status(thm)],[21847, 21846])).
% 9.09/6.66 tff(21849,plain,
% 9.09/6.66 ((~(v110(constB147) <=> (v111(constB147) | v116(constB147)))) | v110(constB147) | (~(v111(constB147) | v116(constB147)))),
% 9.09/6.66 inference(tautology,[status(thm)],[])).
% 9.09/6.66 tff(21850,plain,
% 9.09/6.66 (v110(constB147)),
% 9.09/6.66 inference(unit_resolution,[status(thm)],[21849, 21848, 3061])).
% 9.09/6.66 tff(21851,plain,
% 9.09/6.66 ((v110(constB147) | v117(constB147)) | (~v110(constB147))),
% 9.09/6.66 inference(tautology,[status(thm)],[])).
% 9.09/6.66 tff(21852,plain,
% 9.09/6.66 (v110(constB147) | v117(constB147)),
% 9.09/6.66 inference(unit_resolution,[status(thm)],[21851, 21850])).
% 9.09/6.66 tff(21853,plain,
% 9.09/6.66 ((~(v109(constB147) <=> (v110(constB147) | v117(constB147)))) | v109(constB147) | (~(v110(constB147) | v117(constB147)))),
% 9.09/6.66 inference(tautology,[status(thm)],[])).
% 9.09/6.66 tff(21854,plain,
% 9.09/6.66 (v109(constB147)),
% 9.09/6.66 inference(unit_resolution,[status(thm)],[21853, 21852, 3059])).
% 9.09/6.66 tff(21855,plain,
% 9.09/6.66 ((v109(constB147) | v118(constB147)) | (~v109(constB147))),
% 9.09/6.66 inference(tautology,[status(thm)],[])).
% 9.09/6.66 tff(21856,plain,
% 9.09/6.66 (v109(constB147) | v118(constB147)),
% 9.09/6.66 inference(unit_resolution,[status(thm)],[21855, 21854])).
% 9.09/6.66 tff(21857,plain,
% 9.09/6.66 ((~(v108(constB147) <=> (v109(constB147) | v118(constB147)))) | v108(constB147) | (~(v109(constB147) | v118(constB147)))),
% 9.09/6.66 inference(tautology,[status(thm)],[])).
% 9.09/6.66 tff(21858,plain,
% 9.09/6.66 (v108(constB147)),
% 9.09/6.66 inference(unit_resolution,[status(thm)],[21857, 21856, 3057])).
% 9.09/6.66 tff(21859,plain,
% 9.09/6.66 ((v108(constB147) | v119(constB147)) | (~v108(constB147))),
% 9.09/6.66 inference(tautology,[status(thm)],[])).
% 9.09/6.66 tff(21860,plain,
% 9.09/6.66 (v108(constB147) | v119(constB147)),
% 9.09/6.66 inference(unit_resolution,[status(thm)],[21859, 21858])).
% 9.09/6.66 tff(21861,plain,
% 9.09/6.66 ((~(v107(constB147) <=> (v108(constB147) | v119(constB147)))) | v107(constB147) | (~(v108(constB147) | v119(constB147)))),
% 9.09/6.66 inference(tautology,[status(thm)],[])).
% 9.09/6.66 tff(21862,plain,
% 9.09/6.66 (v107(constB147)),
% 9.09/6.66 inference(unit_resolution,[status(thm)],[21861, 21860, 3055])).
% 9.09/6.66 tff(21863,plain,
% 9.09/6.66 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB147)) <=> v105(constB147))),
% 9.09/6.66 inference(quant_inst,[status(thm)],[])).
% 9.09/6.66 tff(21864,plain,
% 9.09/6.66 ((~v120(constB147)) <=> v105(constB147)),
% 9.09/6.66 inference(unit_resolution,[status(thm)],[21863, 9842])).
% 9.09/6.66 tff(21865,plain,
% 9.09/6.66 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB147) <=> v26(constB147))),
% 9.09/6.66 inference(quant_inst,[status(thm)],[])).
% 9.09/6.66 tff(21866,plain,
% 9.09/6.66 (v105(constB147) <=> v26(constB147)),
% 9.09/6.66 inference(unit_resolution,[status(thm)],[21865, 9854])).
% 9.09/6.66 tff(21867,plain,
% 9.09/6.66 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB147))),
% 9.09/6.66 inference(quant_inst,[status(thm)],[])).
% 9.09/6.66 tff(21868,plain,
% 9.09/6.66 (~v26(constB147)),
% 9.09/6.66 inference(unit_resolution,[status(thm)],[21867, 9866])).
% 9.09/6.66 tff(21869,plain,
% 9.09/6.66 ((~(v105(constB147) <=> v26(constB147))) | (~v105(constB147)) | v26(constB147)),
% 9.09/6.66 inference(tautology,[status(thm)],[])).
% 9.09/6.66 tff(21870,plain,
% 9.09/6.66 ((~(v105(constB147) <=> v26(constB147))) | (~v105(constB147))),
% 9.09/6.66 inference(unit_resolution,[status(thm)],[21869, 21868])).
% 9.09/6.66 tff(21871,plain,
% 9.09/6.66 (~v105(constB147)),
% 9.09/6.66 inference(unit_resolution,[status(thm)],[21870, 21866])).
% 9.09/6.66 tff(21872,plain,
% 9.09/6.66 ((~((~v120(constB147)) <=> v105(constB147))) | v120(constB147) | v105(constB147)),
% 9.09/6.66 inference(tautology,[status(thm)],[])).
% 9.09/6.66 tff(21873,plain,
% 9.09/6.66 ((~((~v120(constB147)) <=> v105(constB147))) | v120(constB147)),
% 9.09/6.66 inference(unit_resolution,[status(thm)],[21872, 21871])).
% 9.09/6.66 tff(21874,plain,
% 9.09/6.66 (v120(constB147)),
% 9.09/6.66 inference(unit_resolution,[status(thm)],[21873, 21864])).
% 9.09/6.66 tff(21875,plain,
% 9.09/6.66 ((~((~v107(constB147)) | (~v120(constB147)))) | (~v107(constB147)) | (~v120(constB147))),
% 9.09/6.66 inference(tautology,[status(thm)],[])).
% 9.09/6.66 tff(21876,plain,
% 9.09/6.66 ((~((~v107(constB147)) | (~v120(constB147)))) | (~v107(constB147))),
% 9.09/6.66 inference(unit_resolution,[status(thm)],[21875, 21874])).
% 9.09/6.66 tff(21877,plain,
% 9.09/6.66 (~((~v107(constB147)) | (~v120(constB147)))),
% 9.09/6.66 inference(unit_resolution,[status(thm)],[21876, 21862])).
% 9.09/6.66 tff(21878,plain,
% 9.09/6.66 ((~(v106(constB147) <=> (~((~v107(constB147)) | (~v120(constB147)))))) | v106(constB147) | ((~v107(constB147)) | (~v120(constB147)))),
% 9.09/6.66 inference(tautology,[status(thm)],[])).
% 9.09/6.66 tff(21879,plain,
% 9.09/6.66 (v106(constB147)),
% 9.09/6.66 inference(unit_resolution,[status(thm)],[21878, 21877, 3053])).
% 9.09/6.66 tff(21880,plain,
% 9.09/6.66 ((v105(constB147) | v106(constB147)) | (~v106(constB147))),
% 9.09/6.66 inference(tautology,[status(thm)],[])).
% 9.09/6.66 tff(21881,plain,
% 9.09/6.66 (v105(constB147) | v106(constB147)),
% 9.09/6.66 inference(unit_resolution,[status(thm)],[21880, 21879])).
% 9.09/6.66 tff(21882,plain,
% 9.09/6.66 ((~(v102(constB147) <=> (v105(constB147) | v106(constB147)))) | v102(constB147) | (~(v105(constB147) | v106(constB147)))),
% 9.09/6.66 inference(tautology,[status(thm)],[])).
% 9.09/6.66 tff(21883,plain,
% 9.09/6.66 (v102(constB147)),
% 9.09/6.66 inference(unit_resolution,[status(thm)],[21882, 21881, 3051])).
% 9.09/6.66 tff(21884,plain,
% 9.09/6.66 ((~(v104(constB148) <=> v102(constB147))) | v104(constB148) | (~v102(constB147))),
% 9.09/6.66 inference(tautology,[status(thm)],[])).
% 9.09/6.66 tff(21885,plain,
% 9.09/6.66 (v104(constB148)),
% 9.09/6.66 inference(unit_resolution,[status(thm)],[21884, 21883, 3049])).
% 9.09/6.66 tff(21886,plain,
% 9.09/6.66 ((~((~v104(constB148)) | (~v95(constB148)))) | (~v104(constB148)) | (~v95(constB148))),
% 9.09/6.66 inference(tautology,[status(thm)],[])).
% 9.09/6.66 tff(21887,plain,
% 9.09/6.66 (~((~v104(constB148)) | (~v95(constB148)))),
% 9.09/6.66 inference(unit_resolution,[status(thm)],[21886, 21885, 3045])).
% 9.09/6.66 tff(21888,plain,
% 9.09/6.66 ((~(v94(constB148) <=> (~((~v104(constB148)) | (~v95(constB148)))))) | v94(constB148) | ((~v104(constB148)) | (~v95(constB148)))),
% 9.09/6.66 inference(tautology,[status(thm)],[])).
% 9.09/6.66 tff(21889,plain,
% 9.09/6.66 (v94(constB148)),
% 9.09/6.66 inference(unit_resolution,[status(thm)],[21888, 21887, 3014])).
% 9.09/6.66 tff(21890,plain,
% 9.09/6.66 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB148)) | ![B: $i] : ((~less_3(B)) | (v84(constB148, B) <=> v123(constB148, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB148)) | ![B: $i] : ((~less_3(B)) | (v84(constB148, B) <=> v123(constB148, B))))),
% 9.09/6.66 inference(rewrite,[status(thm)],[])).
% 9.09/6.66 tff(21891,plain,
% 9.09/6.66 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB148)) | ![B: $i] : ((~less_3(B)) | (v84(constB148, B) <=> v123(constB148, B))))),
% 9.09/6.66 inference(quant_inst,[status(thm)],[])).
% 9.09/6.66 tff(21892,plain,
% 9.09/6.66 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB148)) | ![B: $i] : ((~less_3(B)) | (v84(constB148, B) <=> v123(constB148, B)))),
% 9.09/6.66 inference(modus_ponens,[status(thm)],[21891, 21890])).
% 9.09/6.67 tff(21893,plain,
% 9.09/6.67 ((~v94(constB148)) | ![B: $i] : ((~less_3(B)) | (v84(constB148, B) <=> v123(constB148, B)))),
% 9.09/6.67 inference(unit_resolution,[status(thm)],[21892, 9902])).
% 9.09/6.67 tff(21894,plain,
% 9.09/6.67 (![B: $i] : ((~less_3(B)) | (v84(constB148, B) <=> v123(constB148, B)))),
% 9.09/6.67 inference(unit_resolution,[status(thm)],[21893, 21889])).
% 9.09/6.67 tff(21895,plain,
% 9.09/6.67 (((~![B: $i] : ((~less_3(B)) | (v84(constB148, B) <=> v123(constB148, B)))) | ((~less_3(bitIndex2)) | (v84(constB148, bitIndex2) <=> v123(constB148, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB148, B) <=> v123(constB148, B)))) | (~less_3(bitIndex2)) | (v84(constB148, bitIndex2) <=> v123(constB148, bitIndex2)))),
% 9.09/6.67 inference(rewrite,[status(thm)],[])).
% 9.09/6.67 tff(21896,plain,
% 9.09/6.67 ((~![B: $i] : ((~less_3(B)) | (v84(constB148, B) <=> v123(constB148, B)))) | ((~less_3(bitIndex2)) | (v84(constB148, bitIndex2) <=> v123(constB148, bitIndex2)))),
% 9.09/6.67 inference(quant_inst,[status(thm)],[])).
% 9.09/6.67 tff(21897,plain,
% 9.09/6.67 ((~![B: $i] : ((~less_3(B)) | (v84(constB148, B) <=> v123(constB148, B)))) | (~less_3(bitIndex2)) | (v84(constB148, bitIndex2) <=> v123(constB148, bitIndex2))),
% 9.09/6.67 inference(modus_ponens,[status(thm)],[21896, 21895])).
% 9.09/6.67 tff(21898,plain,
% 9.09/6.67 (v84(constB148, bitIndex2) <=> v123(constB148, bitIndex2)),
% 9.09/6.67 inference(unit_resolution,[status(thm)],[21897, 832, 21894])).
% 9.09/6.67 tff(21899,plain,
% 9.09/6.67 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB147, constB148)) | ![B: $i] : ((~less_3(B)) | (v123(constB148, B) <=> v121(constB147, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB147, constB148)) | ![B: $i] : ((~less_3(B)) | (v123(constB148, B) <=> v121(constB147, B))))),
% 9.09/6.67 inference(rewrite,[status(thm)],[])).
% 9.09/6.67 tff(21900,plain,
% 9.09/6.67 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB147, constB148)) | ![B: $i] : ((~less_3(B)) | (v123(constB148, B) <=> v121(constB147, B))))),
% 9.09/6.67 inference(quant_inst,[status(thm)],[])).
% 9.09/6.67 tff(21901,plain,
% 9.09/6.67 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB147, constB148)) | ![B: $i] : ((~less_3(B)) | (v123(constB148, B) <=> v121(constB147, B)))),
% 9.09/6.67 inference(modus_ponens,[status(thm)],[21900, 21899])).
% 9.09/6.67 tff(21902,plain,
% 9.09/6.67 (![B: $i] : ((~less_3(B)) | (v123(constB148, B) <=> v121(constB147, B)))),
% 9.09/6.67 inference(unit_resolution,[status(thm)],[21901, 3010, 9924])).
% 9.09/6.67 tff(21903,plain,
% 9.09/6.67 (((~![B: $i] : ((~less_3(B)) | (v123(constB148, B) <=> v121(constB147, B)))) | ((~less_3(bitIndex2)) | (v123(constB148, bitIndex2) <=> v121(constB147, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB148, B) <=> v121(constB147, B)))) | (~less_3(bitIndex2)) | (v123(constB148, bitIndex2) <=> v121(constB147, bitIndex2)))),
% 9.09/6.67 inference(rewrite,[status(thm)],[])).
% 9.09/6.67 tff(21904,plain,
% 9.09/6.67 ((~![B: $i] : ((~less_3(B)) | (v123(constB148, B) <=> v121(constB147, B)))) | ((~less_3(bitIndex2)) | (v123(constB148, bitIndex2) <=> v121(constB147, bitIndex2)))),
% 9.09/6.67 inference(quant_inst,[status(thm)],[])).
% 9.09/6.67 tff(21905,plain,
% 9.09/6.67 ((~![B: $i] : ((~less_3(B)) | (v123(constB148, B) <=> v121(constB147, B)))) | (~less_3(bitIndex2)) | (v123(constB148, bitIndex2) <=> v121(constB147, bitIndex2))),
% 9.09/6.67 inference(modus_ponens,[status(thm)],[21904, 21903])).
% 9.09/6.67 tff(21906,plain,
% 9.09/6.67 (v123(constB148, bitIndex2) <=> v121(constB147, bitIndex2)),
% 9.09/6.67 inference(unit_resolution,[status(thm)],[21905, 832, 21902])).
% 9.09/6.67 tff(21907,plain,
% 9.09/6.67 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB147) | ![B: $i] : ((~less_3(B)) | (v121(constB147, B) <=> v124(constB147, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB147) | ![B: $i] : ((~less_3(B)) | (v121(constB147, B) <=> v124(constB147, B))))),
% 9.09/6.67 inference(rewrite,[status(thm)],[])).
% 9.09/6.67 tff(21908,plain,
% 9.09/6.67 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB147) | ![B: $i] : ((~less_3(B)) | (v121(constB147, B) <=> v124(constB147, B))))),
% 9.09/6.67 inference(quant_inst,[status(thm)],[])).
% 9.09/6.67 tff(21909,plain,
% 9.09/6.67 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB147) | ![B: $i] : ((~less_3(B)) | (v121(constB147, B) <=> v124(constB147, B)))),
% 9.09/6.67 inference(modus_ponens,[status(thm)],[21908, 21907])).
% 9.09/6.67 tff(21910,plain,
% 9.09/6.67 (![B: $i] : ((~less_3(B)) | (v121(constB147, B) <=> v124(constB147, B)))),
% 9.09/6.67 inference(unit_resolution,[status(thm)],[21909, 9945, 21871])).
% 9.09/6.67 tff(21911,plain,
% 9.09/6.67 (((~![B: $i] : ((~less_3(B)) | (v121(constB147, B) <=> v124(constB147, B)))) | ((~less_3(bitIndex2)) | (v121(constB147, bitIndex2) <=> v124(constB147, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB147, B) <=> v124(constB147, B)))) | (~less_3(bitIndex2)) | (v121(constB147, bitIndex2) <=> v124(constB147, bitIndex2)))),
% 9.09/6.67 inference(rewrite,[status(thm)],[])).
% 9.09/6.67 tff(21912,plain,
% 9.09/6.67 ((~![B: $i] : ((~less_3(B)) | (v121(constB147, B) <=> v124(constB147, B)))) | ((~less_3(bitIndex2)) | (v121(constB147, bitIndex2) <=> v124(constB147, bitIndex2)))),
% 9.09/6.67 inference(quant_inst,[status(thm)],[])).
% 9.09/6.67 tff(21913,plain,
% 9.09/6.67 ((~![B: $i] : ((~less_3(B)) | (v121(constB147, B) <=> v124(constB147, B)))) | (~less_3(bitIndex2)) | (v121(constB147, bitIndex2) <=> v124(constB147, bitIndex2))),
% 9.09/6.67 inference(modus_ponens,[status(thm)],[21912, 21911])).
% 9.09/6.67 tff(21914,plain,
% 9.09/6.67 (v121(constB147, bitIndex2) <=> v124(constB147, bitIndex2)),
% 9.09/6.67 inference(unit_resolution,[status(thm)],[21913, 832, 21910])).
% 9.09/6.67 tff(21915,plain,
% 9.09/6.67 (((~![VarCurr: $i] : ((~v114(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b010(B))))) | ((~v114(constB147)) | ![B: $i] : ((~less_3(B)) | (v124(constB147, B) <=> b010(B))))) <=> ((~![VarCurr: $i] : ((~v114(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b010(B))))) | (~v114(constB147)) | ![B: $i] : ((~less_3(B)) | (v124(constB147, B) <=> b010(B))))),
% 9.09/6.67 inference(rewrite,[status(thm)],[])).
% 9.09/6.67 tff(21916,plain,
% 9.09/6.67 ((~![VarCurr: $i] : ((~v114(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b010(B))))) | ((~v114(constB147)) | ![B: $i] : ((~less_3(B)) | (v124(constB147, B) <=> b010(B))))),
% 9.09/6.67 inference(quant_inst,[status(thm)],[])).
% 9.09/6.67 tff(21917,plain,
% 9.09/6.67 ((~![VarCurr: $i] : ((~v114(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b010(B))))) | (~v114(constB147)) | ![B: $i] : ((~less_3(B)) | (v124(constB147, B) <=> b010(B)))),
% 9.09/6.67 inference(modus_ponens,[status(thm)],[21916, 21915])).
% 9.09/6.67 tff(21918,plain,
% 9.09/6.67 ((~v114(constB147)) | ![B: $i] : ((~less_3(B)) | (v124(constB147, B) <=> b010(B)))),
% 9.09/6.67 inference(unit_resolution,[status(thm)],[21917, 10149])).
% 9.09/6.67 tff(21919,plain,
% 9.09/6.67 (![B: $i] : ((~less_3(B)) | (v124(constB147, B) <=> b010(B)))),
% 9.09/6.67 inference(unit_resolution,[status(thm)],[21918, 21838])).
% 9.09/6.67 tff(21920,plain,
% 9.09/6.67 (((~![B: $i] : ((~less_3(B)) | (v124(constB147, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v124(constB147, bitIndex2) <=> b010(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB147, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v124(constB147, bitIndex2) <=> b010(bitIndex2)))),
% 9.09/6.67 inference(rewrite,[status(thm)],[])).
% 9.09/6.67 tff(21921,plain,
% 9.09/6.67 ((~![B: $i] : ((~less_3(B)) | (v124(constB147, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v124(constB147, bitIndex2) <=> b010(bitIndex2)))),
% 9.09/6.67 inference(quant_inst,[status(thm)],[])).
% 9.09/6.67 tff(21922,plain,
% 9.09/6.67 ((~![B: $i] : ((~less_3(B)) | (v124(constB147, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v124(constB147, bitIndex2) <=> b010(bitIndex2))),
% 9.09/6.67 inference(modus_ponens,[status(thm)],[21921, 21920])).
% 9.09/6.67 tff(21923,plain,
% 9.09/6.67 (v124(constB147, bitIndex2) <=> b010(bitIndex2)),
% 9.09/6.67 inference(unit_resolution,[status(thm)],[21922, 832, 21919])).
% 9.09/6.67 tff(21924,plain,
% 9.09/6.67 ((~(v124(constB147, bitIndex2) <=> b010(bitIndex2))) | (~v124(constB147, bitIndex2)) | b010(bitIndex2)),
% 9.09/6.67 inference(tautology,[status(thm)],[])).
% 9.09/6.67 tff(21925,plain,
% 9.09/6.67 ((~(v124(constB147, bitIndex2) <=> b010(bitIndex2))) | (~v124(constB147, bitIndex2))),
% 9.09/6.67 inference(unit_resolution,[status(thm)],[21924, 10161])).
% 9.09/6.67 tff(21926,plain,
% 9.09/6.67 (~v124(constB147, bitIndex2)),
% 9.09/6.67 inference(unit_resolution,[status(thm)],[21925, 21923])).
% 9.09/6.67 tff(21927,plain,
% 9.09/6.67 ((~(v121(constB147, bitIndex2) <=> v124(constB147, bitIndex2))) | (~v121(constB147, bitIndex2)) | v124(constB147, bitIndex2)),
% 9.09/6.67 inference(tautology,[status(thm)],[])).
% 9.09/6.67 tff(21928,plain,
% 9.09/6.67 (~v121(constB147, bitIndex2)),
% 9.09/6.67 inference(unit_resolution,[status(thm)],[21927, 21926, 21914])).
% 9.09/6.67 tff(21929,plain,
% 9.09/6.67 ((~(v123(constB148, bitIndex2) <=> v121(constB147, bitIndex2))) | (~v123(constB148, bitIndex2)) | v121(constB147, bitIndex2)),
% 9.09/6.67 inference(tautology,[status(thm)],[])).
% 9.09/6.67 tff(21930,plain,
% 9.09/6.67 (~v123(constB148, bitIndex2)),
% 9.09/6.67 inference(unit_resolution,[status(thm)],[21929, 21928, 21906])).
% 9.09/6.67 tff(21931,plain,
% 9.09/6.67 ((~(v84(constB148, bitIndex2) <=> v123(constB148, bitIndex2))) | (~v84(constB148, bitIndex2)) | v123(constB148, bitIndex2)),
% 9.09/6.67 inference(tautology,[status(thm)],[])).
% 9.09/6.67 tff(21932,plain,
% 9.09/6.67 (~v84(constB148, bitIndex2)),
% 9.09/6.67 inference(unit_resolution,[status(thm)],[21931, 21930, 21898])).
% 9.09/6.67 tff(21933,plain,
% 9.09/6.67 ((~(v84(constB149, bitIndex2) <=> v84(constB148, bitIndex2))) | (~v84(constB149, bitIndex2)) | v84(constB148, bitIndex2)),
% 9.09/6.67 inference(tautology,[status(thm)],[])).
% 9.09/6.67 tff(21934,plain,
% 9.09/6.67 (~v84(constB149, bitIndex2)),
% 9.09/6.67 inference(unit_resolution,[status(thm)],[21933, 21932, 3007])).
% 9.09/6.67 tff(21935,plain,
% 9.09/6.67 (((~![B: $i] : ((~less_3(B)) | (v84(constB149, B) <=> v84(constB148, B)))) | ((~less_3(bitIndex0)) | (v84(constB149, bitIndex0) <=> v84(constB148, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB149, B) <=> v84(constB148, B)))) | (~less_3(bitIndex0)) | (v84(constB149, bitIndex0) <=> v84(constB148, bitIndex0)))),
% 9.09/6.67 inference(rewrite,[status(thm)],[])).
% 9.09/6.67 tff(21936,plain,
% 9.09/6.67 ((~![B: $i] : ((~less_3(B)) | (v84(constB149, B) <=> v84(constB148, B)))) | ((~less_3(bitIndex0)) | (v84(constB149, bitIndex0) <=> v84(constB148, bitIndex0)))),
% 9.09/6.67 inference(quant_inst,[status(thm)],[])).
% 9.09/6.67 tff(21937,plain,
% 9.09/6.67 ((~![B: $i] : ((~less_3(B)) | (v84(constB149, B) <=> v84(constB148, B)))) | (~less_3(bitIndex0)) | (v84(constB149, bitIndex0) <=> v84(constB148, bitIndex0))),
% 9.09/6.67 inference(modus_ponens,[status(thm)],[21936, 21935])).
% 9.09/6.67 tff(21938,plain,
% 9.09/6.67 (v84(constB149, bitIndex0) <=> v84(constB148, bitIndex0)),
% 9.09/6.67 inference(unit_resolution,[status(thm)],[21937, 9772, 3003])).
% 9.09/6.67 tff(21939,plain,
% 9.09/6.67 (((~![B: $i] : ((~less_3(B)) | (v84(constB148, B) <=> v123(constB148, B)))) | ((~less_3(bitIndex0)) | (v84(constB148, bitIndex0) <=> v123(constB148, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB148, B) <=> v123(constB148, B)))) | (~less_3(bitIndex0)) | (v84(constB148, bitIndex0) <=> v123(constB148, bitIndex0)))),
% 9.09/6.67 inference(rewrite,[status(thm)],[])).
% 9.09/6.67 tff(21940,plain,
% 9.09/6.67 ((~![B: $i] : ((~less_3(B)) | (v84(constB148, B) <=> v123(constB148, B)))) | ((~less_3(bitIndex0)) | (v84(constB148, bitIndex0) <=> v123(constB148, bitIndex0)))),
% 9.09/6.67 inference(quant_inst,[status(thm)],[])).
% 9.09/6.67 tff(21941,plain,
% 9.09/6.67 ((~![B: $i] : ((~less_3(B)) | (v84(constB148, B) <=> v123(constB148, B)))) | (~less_3(bitIndex0)) | (v84(constB148, bitIndex0) <=> v123(constB148, bitIndex0))),
% 9.09/6.67 inference(modus_ponens,[status(thm)],[21940, 21939])).
% 9.09/6.67 tff(21942,plain,
% 9.09/6.67 (v84(constB148, bitIndex0) <=> v123(constB148, bitIndex0)),
% 9.09/6.67 inference(unit_resolution,[status(thm)],[21941, 9772, 21894])).
% 9.09/6.67 tff(21943,plain,
% 9.09/6.67 (((~![B: $i] : ((~less_3(B)) | (v123(constB148, B) <=> v121(constB147, B)))) | ((~less_3(bitIndex0)) | (v123(constB148, bitIndex0) <=> v121(constB147, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB148, B) <=> v121(constB147, B)))) | (~less_3(bitIndex0)) | (v123(constB148, bitIndex0) <=> v121(constB147, bitIndex0)))),
% 9.09/6.67 inference(rewrite,[status(thm)],[])).
% 9.09/6.67 tff(21944,plain,
% 9.09/6.67 ((~![B: $i] : ((~less_3(B)) | (v123(constB148, B) <=> v121(constB147, B)))) | ((~less_3(bitIndex0)) | (v123(constB148, bitIndex0) <=> v121(constB147, bitIndex0)))),
% 9.09/6.67 inference(quant_inst,[status(thm)],[])).
% 9.09/6.67 tff(21945,plain,
% 9.09/6.67 ((~![B: $i] : ((~less_3(B)) | (v123(constB148, B) <=> v121(constB147, B)))) | (~less_3(bitIndex0)) | (v123(constB148, bitIndex0) <=> v121(constB147, bitIndex0))),
% 9.09/6.67 inference(modus_ponens,[status(thm)],[21944, 21943])).
% 9.09/6.67 tff(21946,plain,
% 9.09/6.67 (v123(constB148, bitIndex0) <=> v121(constB147, bitIndex0)),
% 9.09/6.67 inference(unit_resolution,[status(thm)],[21945, 9772, 21902])).
% 9.09/6.67 tff(21947,plain,
% 9.09/6.67 (((~![B: $i] : ((~less_3(B)) | (v121(constB147, B) <=> v124(constB147, B)))) | ((~less_3(bitIndex0)) | (v121(constB147, bitIndex0) <=> v124(constB147, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB147, B) <=> v124(constB147, B)))) | (~less_3(bitIndex0)) | (v121(constB147, bitIndex0) <=> v124(constB147, bitIndex0)))),
% 9.09/6.67 inference(rewrite,[status(thm)],[])).
% 9.09/6.67 tff(21948,plain,
% 9.09/6.67 ((~![B: $i] : ((~less_3(B)) | (v121(constB147, B) <=> v124(constB147, B)))) | ((~less_3(bitIndex0)) | (v121(constB147, bitIndex0) <=> v124(constB147, bitIndex0)))),
% 9.09/6.67 inference(quant_inst,[status(thm)],[])).
% 9.09/6.67 tff(21949,plain,
% 9.09/6.67 ((~![B: $i] : ((~less_3(B)) | (v121(constB147, B) <=> v124(constB147, B)))) | (~less_3(bitIndex0)) | (v121(constB147, bitIndex0) <=> v124(constB147, bitIndex0))),
% 9.09/6.67 inference(modus_ponens,[status(thm)],[21948, 21947])).
% 9.09/6.67 tff(21950,plain,
% 9.09/6.67 (v121(constB147, bitIndex0) <=> v124(constB147, bitIndex0)),
% 9.09/6.67 inference(unit_resolution,[status(thm)],[21949, 9772, 21910])).
% 9.09/6.67 tff(21951,plain,
% 9.09/6.67 (((~![B: $i] : ((~less_3(B)) | (v124(constB147, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v124(constB147, bitIndex0) <=> b010(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB147, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v124(constB147, bitIndex0) <=> b010(bitIndex0)))),
% 9.09/6.67 inference(rewrite,[status(thm)],[])).
% 9.09/6.67 tff(21952,plain,
% 9.09/6.67 ((~![B: $i] : ((~less_3(B)) | (v124(constB147, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v124(constB147, bitIndex0) <=> b010(bitIndex0)))),
% 9.09/6.67 inference(quant_inst,[status(thm)],[])).
% 9.09/6.67 tff(21953,plain,
% 9.09/6.67 ((~![B: $i] : ((~less_3(B)) | (v124(constB147, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v124(constB147, bitIndex0) <=> b010(bitIndex0))),
% 9.09/6.67 inference(modus_ponens,[status(thm)],[21952, 21951])).
% 9.09/6.67 tff(21954,plain,
% 9.09/6.67 (v124(constB147, bitIndex0) <=> b010(bitIndex0)),
% 9.09/6.67 inference(unit_resolution,[status(thm)],[21953, 9772, 21919])).
% 9.09/6.67 tff(21955,plain,
% 9.09/6.67 ((~(v124(constB147, bitIndex0) <=> b010(bitIndex0))) | (~v124(constB147, bitIndex0)) | b010(bitIndex0)),
% 9.09/6.67 inference(tautology,[status(thm)],[])).
% 9.09/6.67 tff(21956,plain,
% 9.09/6.67 ((~(v124(constB147, bitIndex0) <=> b010(bitIndex0))) | (~v124(constB147, bitIndex0))),
% 9.09/6.67 inference(unit_resolution,[status(thm)],[21955, 10195])).
% 9.09/6.67 tff(21957,plain,
% 9.09/6.67 (~v124(constB147, bitIndex0)),
% 9.09/6.67 inference(unit_resolution,[status(thm)],[21956, 21954])).
% 9.09/6.67 tff(21958,plain,
% 9.09/6.67 ((~(v121(constB147, bitIndex0) <=> v124(constB147, bitIndex0))) | (~v121(constB147, bitIndex0)) | v124(constB147, bitIndex0)),
% 9.09/6.67 inference(tautology,[status(thm)],[])).
% 9.09/6.67 tff(21959,plain,
% 9.09/6.67 (~v121(constB147, bitIndex0)),
% 9.09/6.67 inference(unit_resolution,[status(thm)],[21958, 21957, 21950])).
% 9.09/6.67 tff(21960,plain,
% 9.09/6.67 ((~(v123(constB148, bitIndex0) <=> v121(constB147, bitIndex0))) | (~v123(constB148, bitIndex0)) | v121(constB147, bitIndex0)),
% 9.09/6.67 inference(tautology,[status(thm)],[])).
% 9.09/6.67 tff(21961,plain,
% 9.09/6.67 (~v123(constB148, bitIndex0)),
% 9.09/6.67 inference(unit_resolution,[status(thm)],[21960, 21959, 21946])).
% 9.09/6.67 tff(21962,plain,
% 9.09/6.67 ((~(v84(constB148, bitIndex0) <=> v123(constB148, bitIndex0))) | (~v84(constB148, bitIndex0)) | v123(constB148, bitIndex0)),
% 9.09/6.67 inference(tautology,[status(thm)],[])).
% 9.09/6.67 tff(21963,plain,
% 9.09/6.67 (~v84(constB148, bitIndex0)),
% 9.09/6.67 inference(unit_resolution,[status(thm)],[21962, 21961, 21942])).
% 9.09/6.67 tff(21964,plain,
% 9.09/6.67 ((~(v84(constB149, bitIndex0) <=> v84(constB148, bitIndex0))) | (~v84(constB149, bitIndex0)) | v84(constB148, bitIndex0)),
% 9.09/6.67 inference(tautology,[status(thm)],[])).
% 9.09/6.67 tff(21965,plain,
% 9.09/6.67 (~v84(constB149, bitIndex0)),
% 9.09/6.67 inference(unit_resolution,[status(thm)],[21964, 21963, 21938])).
% 9.09/6.67 tff(21966,plain,
% 9.09/6.67 (((~![B: $i] : ((~less_3(B)) | (v84(constB149, B) <=> v84(constB148, B)))) | ((~less_3(bitIndex1)) | (v84(constB149, bitIndex1) <=> v84(constB148, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB149, B) <=> v84(constB148, B)))) | (~less_3(bitIndex1)) | (v84(constB149, bitIndex1) <=> v84(constB148, bitIndex1)))),
% 9.09/6.67 inference(rewrite,[status(thm)],[])).
% 9.09/6.67 tff(21967,plain,
% 9.09/6.67 ((~![B: $i] : ((~less_3(B)) | (v84(constB149, B) <=> v84(constB148, B)))) | ((~less_3(bitIndex1)) | (v84(constB149, bitIndex1) <=> v84(constB148, bitIndex1)))),
% 9.09/6.67 inference(quant_inst,[status(thm)],[])).
% 9.09/6.67 tff(21968,plain,
% 9.09/6.67 ((~![B: $i] : ((~less_3(B)) | (v84(constB149, B) <=> v84(constB148, B)))) | (~less_3(bitIndex1)) | (v84(constB149, bitIndex1) <=> v84(constB148, bitIndex1))),
% 9.09/6.67 inference(modus_ponens,[status(thm)],[21967, 21966])).
% 9.09/6.67 tff(21969,plain,
% 9.09/6.67 (v84(constB149, bitIndex1) <=> v84(constB148, bitIndex1)),
% 9.09/6.67 inference(unit_resolution,[status(thm)],[21968, 9785, 3003])).
% 9.09/6.67 tff(21970,plain,
% 9.09/6.67 (((~![B: $i] : ((~less_3(B)) | (v84(constB148, B) <=> v123(constB148, B)))) | ((~less_3(bitIndex1)) | (v84(constB148, bitIndex1) <=> v123(constB148, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB148, B) <=> v123(constB148, B)))) | (~less_3(bitIndex1)) | (v84(constB148, bitIndex1) <=> v123(constB148, bitIndex1)))),
% 9.09/6.67 inference(rewrite,[status(thm)],[])).
% 9.09/6.67 tff(21971,plain,
% 9.09/6.67 ((~![B: $i] : ((~less_3(B)) | (v84(constB148, B) <=> v123(constB148, B)))) | ((~less_3(bitIndex1)) | (v84(constB148, bitIndex1) <=> v123(constB148, bitIndex1)))),
% 9.09/6.67 inference(quant_inst,[status(thm)],[])).
% 9.09/6.67 tff(21972,plain,
% 9.09/6.67 ((~![B: $i] : ((~less_3(B)) | (v84(constB148, B) <=> v123(constB148, B)))) | (~less_3(bitIndex1)) | (v84(constB148, bitIndex1) <=> v123(constB148, bitIndex1))),
% 9.09/6.67 inference(modus_ponens,[status(thm)],[21971, 21970])).
% 9.09/6.67 tff(21973,plain,
% 9.09/6.67 (v84(constB148, bitIndex1) <=> v123(constB148, bitIndex1)),
% 9.09/6.67 inference(unit_resolution,[status(thm)],[21972, 9785, 21894])).
% 9.09/6.67 tff(21974,plain,
% 9.09/6.67 (((~![B: $i] : ((~less_3(B)) | (v123(constB148, B) <=> v121(constB147, B)))) | ((~less_3(bitIndex1)) | (v123(constB148, bitIndex1) <=> v121(constB147, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB148, B) <=> v121(constB147, B)))) | (~less_3(bitIndex1)) | (v123(constB148, bitIndex1) <=> v121(constB147, bitIndex1)))),
% 9.09/6.67 inference(rewrite,[status(thm)],[])).
% 9.09/6.67 tff(21975,plain,
% 9.09/6.67 ((~![B: $i] : ((~less_3(B)) | (v123(constB148, B) <=> v121(constB147, B)))) | ((~less_3(bitIndex1)) | (v123(constB148, bitIndex1) <=> v121(constB147, bitIndex1)))),
% 9.09/6.67 inference(quant_inst,[status(thm)],[])).
% 9.09/6.67 tff(21976,plain,
% 9.09/6.67 ((~![B: $i] : ((~less_3(B)) | (v123(constB148, B) <=> v121(constB147, B)))) | (~less_3(bitIndex1)) | (v123(constB148, bitIndex1) <=> v121(constB147, bitIndex1))),
% 9.09/6.67 inference(modus_ponens,[status(thm)],[21975, 21974])).
% 9.09/6.67 tff(21977,plain,
% 9.09/6.67 (v123(constB148, bitIndex1) <=> v121(constB147, bitIndex1)),
% 9.09/6.67 inference(unit_resolution,[status(thm)],[21976, 9785, 21902])).
% 9.09/6.67 tff(21978,plain,
% 9.09/6.67 (((~![B: $i] : ((~less_3(B)) | (v121(constB147, B) <=> v124(constB147, B)))) | ((~less_3(bitIndex1)) | (v121(constB147, bitIndex1) <=> v124(constB147, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB147, B) <=> v124(constB147, B)))) | (~less_3(bitIndex1)) | (v121(constB147, bitIndex1) <=> v124(constB147, bitIndex1)))),
% 9.09/6.67 inference(rewrite,[status(thm)],[])).
% 9.09/6.67 tff(21979,plain,
% 9.09/6.67 ((~![B: $i] : ((~less_3(B)) | (v121(constB147, B) <=> v124(constB147, B)))) | ((~less_3(bitIndex1)) | (v121(constB147, bitIndex1) <=> v124(constB147, bitIndex1)))),
% 9.09/6.67 inference(quant_inst,[status(thm)],[])).
% 9.09/6.67 tff(21980,plain,
% 9.09/6.67 ((~![B: $i] : ((~less_3(B)) | (v121(constB147, B) <=> v124(constB147, B)))) | (~less_3(bitIndex1)) | (v121(constB147, bitIndex1) <=> v124(constB147, bitIndex1))),
% 9.09/6.67 inference(modus_ponens,[status(thm)],[21979, 21978])).
% 9.09/6.67 tff(21981,plain,
% 9.09/6.67 (v121(constB147, bitIndex1) <=> v124(constB147, bitIndex1)),
% 9.09/6.67 inference(unit_resolution,[status(thm)],[21980, 9785, 21910])).
% 9.09/6.67 tff(21982,plain,
% 9.09/6.67 (((~![B: $i] : ((~less_3(B)) | (v124(constB147, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v124(constB147, bitIndex1) <=> b010(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB147, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v124(constB147, bitIndex1) <=> b010(bitIndex1)))),
% 9.09/6.67 inference(rewrite,[status(thm)],[])).
% 9.09/6.67 tff(21983,plain,
% 9.09/6.67 ((~![B: $i] : ((~less_3(B)) | (v124(constB147, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v124(constB147, bitIndex1) <=> b010(bitIndex1)))),
% 9.09/6.67 inference(quant_inst,[status(thm)],[])).
% 9.09/6.67 tff(21984,plain,
% 9.09/6.67 ((~![B: $i] : ((~less_3(B)) | (v124(constB147, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v124(constB147, bitIndex1) <=> b010(bitIndex1))),
% 9.09/6.67 inference(modus_ponens,[status(thm)],[21983, 21982])).
% 9.09/6.67 tff(21985,plain,
% 9.09/6.67 (v124(constB147, bitIndex1) <=> b010(bitIndex1)),
% 9.09/6.67 inference(unit_resolution,[status(thm)],[21984, 9785, 21919])).
% 9.09/6.67 tff(21986,plain,
% 9.09/6.67 ((~(v124(constB147, bitIndex1) <=> b010(bitIndex1))) | v124(constB147, bitIndex1) | (~b010(bitIndex1))),
% 9.09/6.67 inference(tautology,[status(thm)],[])).
% 9.09/6.67 tff(21987,plain,
% 9.09/6.67 ((~(v124(constB147, bitIndex1) <=> b010(bitIndex1))) | v124(constB147, bitIndex1)),
% 9.09/6.67 inference(unit_resolution,[status(thm)],[21986, 10229])).
% 9.09/6.67 tff(21988,plain,
% 9.09/6.67 (v124(constB147, bitIndex1)),
% 9.09/6.67 inference(unit_resolution,[status(thm)],[21987, 21985])).
% 9.09/6.67 tff(21989,plain,
% 9.09/6.67 ((~(v121(constB147, bitIndex1) <=> v124(constB147, bitIndex1))) | v121(constB147, bitIndex1) | (~v124(constB147, bitIndex1))),
% 9.09/6.67 inference(tautology,[status(thm)],[])).
% 9.09/6.67 tff(21990,plain,
% 9.09/6.67 (v121(constB147, bitIndex1)),
% 9.09/6.67 inference(unit_resolution,[status(thm)],[21989, 21988, 21981])).
% 9.09/6.67 tff(21991,plain,
% 9.09/6.67 ((~(v123(constB148, bitIndex1) <=> v121(constB147, bitIndex1))) | v123(constB148, bitIndex1) | (~v121(constB147, bitIndex1))),
% 9.09/6.67 inference(tautology,[status(thm)],[])).
% 9.09/6.67 tff(21992,plain,
% 9.09/6.67 (v123(constB148, bitIndex1)),
% 9.09/6.67 inference(unit_resolution,[status(thm)],[21991, 21990, 21977])).
% 9.09/6.67 tff(21993,plain,
% 9.09/6.67 ((~(v84(constB148, bitIndex1) <=> v123(constB148, bitIndex1))) | v84(constB148, bitIndex1) | (~v123(constB148, bitIndex1))),
% 9.09/6.67 inference(tautology,[status(thm)],[])).
% 9.09/6.67 tff(21994,plain,
% 9.09/6.67 (v84(constB148, bitIndex1)),
% 9.09/6.67 inference(unit_resolution,[status(thm)],[21993, 21992, 21973])).
% 9.09/6.67 tff(21995,plain,
% 9.09/6.67 ((~(v84(constB149, bitIndex1) <=> v84(constB148, bitIndex1))) | v84(constB149, bitIndex1) | (~v84(constB148, bitIndex1))),
% 9.09/6.67 inference(tautology,[status(thm)],[])).
% 9.09/6.67 tff(21996,plain,
% 9.09/6.67 (v84(constB149, bitIndex1)),
% 9.09/6.67 inference(unit_resolution,[status(thm)],[21995, 21994, 21969])).
% 9.09/6.67 tff(21997,plain,
% 9.09/6.67 ((~(v84(constB149, bitIndex2) | (~v84(constB149, bitIndex1)) | v84(constB149, bitIndex0))) | v84(constB149, bitIndex2) | (~v84(constB149, bitIndex1)) | v84(constB149, bitIndex0)),
% 9.09/6.67 inference(tautology,[status(thm)],[])).
% 9.09/6.67 tff(21998,plain,
% 9.09/6.67 (~(v84(constB149, bitIndex2) | (~v84(constB149, bitIndex1)) | v84(constB149, bitIndex0))),
% 9.09/6.67 inference(unit_resolution,[status(thm)],[21997, 21996, 21965, 21934])).
% 9.09/6.67 tff(21999,plain,
% 9.09/6.67 ((~(v115(constB149) <=> (~(v84(constB149, bitIndex2) | (~v84(constB149, bitIndex1)) | v84(constB149, bitIndex0))))) | v115(constB149) | (v84(constB149, bitIndex2) | (~v84(constB149, bitIndex1)) | v84(constB149, bitIndex0))),
% 9.09/6.67 inference(tautology,[status(thm)],[])).
% 9.09/6.67 tff(22000,plain,
% 9.09/6.67 (v115(constB149)),
% 9.09/6.67 inference(unit_resolution,[status(thm)],[21999, 21998, 2975])).
% 9.09/6.67 tff(22001,plain,
% 9.09/6.67 ((v112(constB149) | v115(constB149)) | (~v115(constB149))),
% 9.09/6.67 inference(tautology,[status(thm)],[])).
% 9.09/6.67 tff(22002,plain,
% 9.09/6.67 (v112(constB149) | v115(constB149)),
% 9.09/6.67 inference(unit_resolution,[status(thm)],[22001, 22000])).
% 9.09/6.67 tff(22003,plain,
% 9.09/6.67 ((~(v111(constB149) <=> (v112(constB149) | v115(constB149)))) | v111(constB149) | (~(v112(constB149) | v115(constB149)))),
% 9.09/6.67 inference(tautology,[status(thm)],[])).
% 9.09/6.67 tff(22004,plain,
% 9.09/6.67 (v111(constB149)),
% 9.09/6.67 inference(unit_resolution,[status(thm)],[22003, 22002, 2968])).
% 9.09/6.67 tff(22005,plain,
% 9.09/6.67 ((v111(constB149) | v116(constB149)) | (~v111(constB149))),
% 9.09/6.67 inference(tautology,[status(thm)],[])).
% 9.09/6.67 tff(22006,plain,
% 9.09/6.67 (v111(constB149) | v116(constB149)),
% 9.09/6.67 inference(unit_resolution,[status(thm)],[22005, 22004])).
% 9.09/6.67 tff(22007,plain,
% 9.09/6.67 ((~(v110(constB149) <=> (v111(constB149) | v116(constB149)))) | v110(constB149) | (~(v111(constB149) | v116(constB149)))),
% 9.09/6.67 inference(tautology,[status(thm)],[])).
% 9.09/6.67 tff(22008,plain,
% 9.09/6.67 (v110(constB149)),
% 9.09/6.67 inference(unit_resolution,[status(thm)],[22007, 22006, 2966])).
% 9.09/6.67 tff(22009,plain,
% 9.09/6.67 ((v110(constB149) | v117(constB149)) | (~v110(constB149))),
% 9.09/6.67 inference(tautology,[status(thm)],[])).
% 9.09/6.67 tff(22010,plain,
% 9.09/6.67 (v110(constB149) | v117(constB149)),
% 9.09/6.67 inference(unit_resolution,[status(thm)],[22009, 22008])).
% 9.09/6.67 tff(22011,plain,
% 9.09/6.67 ((~(v109(constB149) <=> (v110(constB149) | v117(constB149)))) | v109(constB149) | (~(v110(constB149) | v117(constB149)))),
% 9.09/6.67 inference(tautology,[status(thm)],[])).
% 9.09/6.67 tff(22012,plain,
% 9.09/6.67 (v109(constB149)),
% 9.09/6.67 inference(unit_resolution,[status(thm)],[22011, 22010, 2964])).
% 9.09/6.67 tff(22013,plain,
% 9.09/6.67 ((v109(constB149) | v118(constB149)) | (~v109(constB149))),
% 9.09/6.67 inference(tautology,[status(thm)],[])).
% 9.09/6.67 tff(22014,plain,
% 9.09/6.67 (v109(constB149) | v118(constB149)),
% 9.09/6.67 inference(unit_resolution,[status(thm)],[22013, 22012])).
% 9.09/6.67 tff(22015,plain,
% 9.09/6.67 ((~(v108(constB149) <=> (v109(constB149) | v118(constB149)))) | v108(constB149) | (~(v109(constB149) | v118(constB149)))),
% 9.09/6.67 inference(tautology,[status(thm)],[])).
% 9.09/6.67 tff(22016,plain,
% 9.09/6.67 (v108(constB149)),
% 9.09/6.67 inference(unit_resolution,[status(thm)],[22015, 22014, 2962])).
% 9.09/6.67 tff(22017,plain,
% 9.09/6.67 ((v108(constB149) | v119(constB149)) | (~v108(constB149))),
% 9.09/6.67 inference(tautology,[status(thm)],[])).
% 9.09/6.67 tff(22018,plain,
% 9.09/6.67 (v108(constB149) | v119(constB149)),
% 9.09/6.67 inference(unit_resolution,[status(thm)],[22017, 22016])).
% 9.09/6.67 tff(22019,plain,
% 9.09/6.67 ((~(v107(constB149) <=> (v108(constB149) | v119(constB149)))) | v107(constB149) | (~(v108(constB149) | v119(constB149)))),
% 9.09/6.67 inference(tautology,[status(thm)],[])).
% 9.09/6.67 tff(22020,plain,
% 9.09/6.67 (v107(constB149)),
% 9.09/6.67 inference(unit_resolution,[status(thm)],[22019, 22018, 2960])).
% 9.09/6.67 tff(22021,plain,
% 9.09/6.67 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB149)) <=> v105(constB149))),
% 9.09/6.67 inference(quant_inst,[status(thm)],[])).
% 9.09/6.67 tff(22022,plain,
% 9.09/6.67 ((~v120(constB149)) <=> v105(constB149)),
% 9.09/6.67 inference(unit_resolution,[status(thm)],[22021, 9842])).
% 9.09/6.67 tff(22023,plain,
% 9.09/6.67 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB149) <=> v26(constB149))),
% 9.09/6.67 inference(quant_inst,[status(thm)],[])).
% 9.09/6.67 tff(22024,plain,
% 9.09/6.67 (v105(constB149) <=> v26(constB149)),
% 9.09/6.67 inference(unit_resolution,[status(thm)],[22023, 9854])).
% 9.09/6.67 tff(22025,plain,
% 9.09/6.67 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB149))),
% 9.09/6.67 inference(quant_inst,[status(thm)],[])).
% 9.09/6.67 tff(22026,plain,
% 9.09/6.67 (~v26(constB149)),
% 9.09/6.67 inference(unit_resolution,[status(thm)],[22025, 9866])).
% 9.09/6.67 tff(22027,plain,
% 9.09/6.67 ((~(v105(constB149) <=> v26(constB149))) | (~v105(constB149)) | v26(constB149)),
% 9.09/6.67 inference(tautology,[status(thm)],[])).
% 9.09/6.67 tff(22028,plain,
% 9.09/6.67 ((~(v105(constB149) <=> v26(constB149))) | (~v105(constB149))),
% 9.09/6.67 inference(unit_resolution,[status(thm)],[22027, 22026])).
% 9.09/6.67 tff(22029,plain,
% 9.09/6.67 (~v105(constB149)),
% 9.09/6.67 inference(unit_resolution,[status(thm)],[22028, 22024])).
% 9.09/6.67 tff(22030,plain,
% 9.09/6.67 ((~((~v120(constB149)) <=> v105(constB149))) | v120(constB149) | v105(constB149)),
% 9.09/6.67 inference(tautology,[status(thm)],[])).
% 9.09/6.67 tff(22031,plain,
% 9.09/6.67 ((~((~v120(constB149)) <=> v105(constB149))) | v120(constB149)),
% 9.09/6.67 inference(unit_resolution,[status(thm)],[22030, 22029])).
% 9.09/6.67 tff(22032,plain,
% 9.09/6.67 (v120(constB149)),
% 9.09/6.67 inference(unit_resolution,[status(thm)],[22031, 22022])).
% 9.09/6.67 tff(22033,plain,
% 9.09/6.67 ((~((~v107(constB149)) | (~v120(constB149)))) | (~v107(constB149)) | (~v120(constB149))),
% 9.09/6.67 inference(tautology,[status(thm)],[])).
% 9.09/6.67 tff(22034,plain,
% 9.09/6.67 ((~((~v107(constB149)) | (~v120(constB149)))) | (~v107(constB149))),
% 9.09/6.67 inference(unit_resolution,[status(thm)],[22033, 22032])).
% 9.09/6.67 tff(22035,plain,
% 9.09/6.67 (~((~v107(constB149)) | (~v120(constB149)))),
% 9.09/6.67 inference(unit_resolution,[status(thm)],[22034, 22020])).
% 9.09/6.67 tff(22036,plain,
% 9.09/6.67 ((~(v106(constB149) <=> (~((~v107(constB149)) | (~v120(constB149)))))) | v106(constB149) | ((~v107(constB149)) | (~v120(constB149)))),
% 9.09/6.67 inference(tautology,[status(thm)],[])).
% 9.09/6.67 tff(22037,plain,
% 9.09/6.67 (v106(constB149)),
% 9.09/6.67 inference(unit_resolution,[status(thm)],[22036, 22035, 2958])).
% 9.09/6.67 tff(22038,plain,
% 9.09/6.67 ((v105(constB149) | v106(constB149)) | (~v106(constB149))),
% 9.09/6.67 inference(tautology,[status(thm)],[])).
% 9.09/6.67 tff(22039,plain,
% 9.09/6.67 (v105(constB149) | v106(constB149)),
% 9.09/6.67 inference(unit_resolution,[status(thm)],[22038, 22037])).
% 9.09/6.67 tff(22040,plain,
% 9.09/6.67 ((~(v102(constB149) <=> (v105(constB149) | v106(constB149)))) | v102(constB149) | (~(v105(constB149) | v106(constB149)))),
% 9.09/6.67 inference(tautology,[status(thm)],[])).
% 9.09/6.67 tff(22041,plain,
% 9.09/6.67 (v102(constB149)),
% 9.09/6.67 inference(unit_resolution,[status(thm)],[22040, 22039, 2956])).
% 9.09/6.67 tff(22042,plain,
% 9.09/6.67 ((~(v104(constB150) <=> v102(constB149))) | v104(constB150) | (~v102(constB149))),
% 9.09/6.67 inference(tautology,[status(thm)],[])).
% 9.09/6.67 tff(22043,plain,
% 9.09/6.67 (v104(constB150)),
% 9.09/6.67 inference(unit_resolution,[status(thm)],[22042, 22041, 2954])).
% 9.09/6.67 tff(22044,plain,
% 9.09/6.67 ((~((~v104(constB150)) | (~v95(constB150)))) | (~v104(constB150)) | (~v95(constB150))),
% 9.09/6.67 inference(tautology,[status(thm)],[])).
% 9.09/6.67 tff(22045,plain,
% 9.09/6.67 (~((~v104(constB150)) | (~v95(constB150)))),
% 9.09/6.67 inference(unit_resolution,[status(thm)],[22044, 22043, 2950])).
% 9.09/6.67 tff(22046,plain,
% 9.09/6.67 ((~(v94(constB150) <=> (~((~v104(constB150)) | (~v95(constB150)))))) | v94(constB150) | ((~v104(constB150)) | (~v95(constB150)))),
% 9.09/6.67 inference(tautology,[status(thm)],[])).
% 9.09/6.67 tff(22047,plain,
% 9.09/6.67 (v94(constB150)),
% 9.09/6.67 inference(unit_resolution,[status(thm)],[22046, 22045, 2919])).
% 9.09/6.67 tff(22048,plain,
% 9.09/6.67 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB150)) | ![B: $i] : ((~less_3(B)) | (v84(constB150, B) <=> v123(constB150, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB150)) | ![B: $i] : ((~less_3(B)) | (v84(constB150, B) <=> v123(constB150, B))))),
% 9.09/6.67 inference(rewrite,[status(thm)],[])).
% 9.09/6.67 tff(22049,plain,
% 9.09/6.67 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB150)) | ![B: $i] : ((~less_3(B)) | (v84(constB150, B) <=> v123(constB150, B))))),
% 9.09/6.67 inference(quant_inst,[status(thm)],[])).
% 9.09/6.67 tff(22050,plain,
% 9.09/6.67 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB150)) | ![B: $i] : ((~less_3(B)) | (v84(constB150, B) <=> v123(constB150, B)))),
% 9.09/6.67 inference(modus_ponens,[status(thm)],[22049, 22048])).
% 9.09/6.67 tff(22051,plain,
% 9.09/6.67 ((~v94(constB150)) | ![B: $i] : ((~less_3(B)) | (v84(constB150, B) <=> v123(constB150, B)))),
% 9.09/6.67 inference(unit_resolution,[status(thm)],[22050, 9902])).
% 9.09/6.67 tff(22052,plain,
% 9.09/6.67 (![B: $i] : ((~less_3(B)) | (v84(constB150, B) <=> v123(constB150, B)))),
% 9.09/6.67 inference(unit_resolution,[status(thm)],[22051, 22047])).
% 9.09/6.67 tff(22053,plain,
% 9.09/6.67 (((~![B: $i] : ((~less_3(B)) | (v84(constB150, B) <=> v123(constB150, B)))) | ((~less_3(bitIndex2)) | (v84(constB150, bitIndex2) <=> v123(constB150, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB150, B) <=> v123(constB150, B)))) | (~less_3(bitIndex2)) | (v84(constB150, bitIndex2) <=> v123(constB150, bitIndex2)))),
% 9.09/6.67 inference(rewrite,[status(thm)],[])).
% 9.09/6.67 tff(22054,plain,
% 9.09/6.67 ((~![B: $i] : ((~less_3(B)) | (v84(constB150, B) <=> v123(constB150, B)))) | ((~less_3(bitIndex2)) | (v84(constB150, bitIndex2) <=> v123(constB150, bitIndex2)))),
% 9.09/6.67 inference(quant_inst,[status(thm)],[])).
% 9.09/6.67 tff(22055,plain,
% 9.09/6.67 ((~![B: $i] : ((~less_3(B)) | (v84(constB150, B) <=> v123(constB150, B)))) | (~less_3(bitIndex2)) | (v84(constB150, bitIndex2) <=> v123(constB150, bitIndex2))),
% 9.09/6.67 inference(modus_ponens,[status(thm)],[22054, 22053])).
% 9.09/6.67 tff(22056,plain,
% 9.09/6.67 (v84(constB150, bitIndex2) <=> v123(constB150, bitIndex2)),
% 9.09/6.67 inference(unit_resolution,[status(thm)],[22055, 832, 22052])).
% 9.09/6.67 tff(22057,plain,
% 9.09/6.67 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB149, constB150)) | ![B: $i] : ((~less_3(B)) | (v123(constB150, B) <=> v121(constB149, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB149, constB150)) | ![B: $i] : ((~less_3(B)) | (v123(constB150, B) <=> v121(constB149, B))))),
% 9.09/6.67 inference(rewrite,[status(thm)],[])).
% 9.09/6.67 tff(22058,plain,
% 9.09/6.67 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB149, constB150)) | ![B: $i] : ((~less_3(B)) | (v123(constB150, B) <=> v121(constB149, B))))),
% 9.09/6.67 inference(quant_inst,[status(thm)],[])).
% 9.09/6.67 tff(22059,plain,
% 9.09/6.67 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB149, constB150)) | ![B: $i] : ((~less_3(B)) | (v123(constB150, B) <=> v121(constB149, B)))),
% 9.09/6.68 inference(modus_ponens,[status(thm)],[22058, 22057])).
% 9.09/6.68 tff(22060,plain,
% 9.09/6.68 (![B: $i] : ((~less_3(B)) | (v123(constB150, B) <=> v121(constB149, B)))),
% 9.09/6.68 inference(unit_resolution,[status(thm)],[22059, 2915, 9924])).
% 9.09/6.68 tff(22061,plain,
% 9.09/6.68 (((~![B: $i] : ((~less_3(B)) | (v123(constB150, B) <=> v121(constB149, B)))) | ((~less_3(bitIndex2)) | (v123(constB150, bitIndex2) <=> v121(constB149, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB150, B) <=> v121(constB149, B)))) | (~less_3(bitIndex2)) | (v123(constB150, bitIndex2) <=> v121(constB149, bitIndex2)))),
% 9.09/6.68 inference(rewrite,[status(thm)],[])).
% 9.09/6.68 tff(22062,plain,
% 9.09/6.68 ((~![B: $i] : ((~less_3(B)) | (v123(constB150, B) <=> v121(constB149, B)))) | ((~less_3(bitIndex2)) | (v123(constB150, bitIndex2) <=> v121(constB149, bitIndex2)))),
% 9.09/6.68 inference(quant_inst,[status(thm)],[])).
% 9.09/6.68 tff(22063,plain,
% 9.09/6.68 ((~![B: $i] : ((~less_3(B)) | (v123(constB150, B) <=> v121(constB149, B)))) | (~less_3(bitIndex2)) | (v123(constB150, bitIndex2) <=> v121(constB149, bitIndex2))),
% 9.09/6.68 inference(modus_ponens,[status(thm)],[22062, 22061])).
% 9.09/6.68 tff(22064,plain,
% 9.09/6.68 (v123(constB150, bitIndex2) <=> v121(constB149, bitIndex2)),
% 9.09/6.68 inference(unit_resolution,[status(thm)],[22063, 832, 22060])).
% 9.09/6.68 tff(22065,plain,
% 9.09/6.68 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB149) | ![B: $i] : ((~less_3(B)) | (v121(constB149, B) <=> v124(constB149, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB149) | ![B: $i] : ((~less_3(B)) | (v121(constB149, B) <=> v124(constB149, B))))),
% 9.09/6.68 inference(rewrite,[status(thm)],[])).
% 9.09/6.68 tff(22066,plain,
% 9.09/6.68 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB149) | ![B: $i] : ((~less_3(B)) | (v121(constB149, B) <=> v124(constB149, B))))),
% 9.09/6.68 inference(quant_inst,[status(thm)],[])).
% 9.09/6.68 tff(22067,plain,
% 9.09/6.68 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB149) | ![B: $i] : ((~less_3(B)) | (v121(constB149, B) <=> v124(constB149, B)))),
% 9.09/6.68 inference(modus_ponens,[status(thm)],[22066, 22065])).
% 9.09/6.68 tff(22068,plain,
% 9.09/6.68 (![B: $i] : ((~less_3(B)) | (v121(constB149, B) <=> v124(constB149, B)))),
% 9.09/6.68 inference(unit_resolution,[status(thm)],[22067, 9945, 22029])).
% 9.09/6.68 tff(22069,plain,
% 9.09/6.68 (((~![B: $i] : ((~less_3(B)) | (v121(constB149, B) <=> v124(constB149, B)))) | ((~less_3(bitIndex2)) | (v121(constB149, bitIndex2) <=> v124(constB149, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB149, B) <=> v124(constB149, B)))) | (~less_3(bitIndex2)) | (v121(constB149, bitIndex2) <=> v124(constB149, bitIndex2)))),
% 9.09/6.68 inference(rewrite,[status(thm)],[])).
% 9.09/6.68 tff(22070,plain,
% 9.09/6.68 ((~![B: $i] : ((~less_3(B)) | (v121(constB149, B) <=> v124(constB149, B)))) | ((~less_3(bitIndex2)) | (v121(constB149, bitIndex2) <=> v124(constB149, bitIndex2)))),
% 9.09/6.68 inference(quant_inst,[status(thm)],[])).
% 9.09/6.68 tff(22071,plain,
% 9.09/6.68 ((~![B: $i] : ((~less_3(B)) | (v121(constB149, B) <=> v124(constB149, B)))) | (~less_3(bitIndex2)) | (v121(constB149, bitIndex2) <=> v124(constB149, bitIndex2))),
% 9.09/6.68 inference(modus_ponens,[status(thm)],[22070, 22069])).
% 9.09/6.68 tff(22072,plain,
% 9.09/6.68 (v121(constB149, bitIndex2) <=> v124(constB149, bitIndex2)),
% 9.09/6.68 inference(unit_resolution,[status(thm)],[22071, 832, 22068])).
% 9.09/6.68 tff(22073,plain,
% 9.09/6.68 (((~![VarCurr: $i] : ((~v115(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b011(B))))) | ((~v115(constB149)) | ![B: $i] : ((~less_3(B)) | (v124(constB149, B) <=> b011(B))))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b011(B))))) | (~v115(constB149)) | ![B: $i] : ((~less_3(B)) | (v124(constB149, B) <=> b011(B))))),
% 9.09/6.68 inference(rewrite,[status(thm)],[])).
% 9.09/6.68 tff(22074,plain,
% 9.09/6.68 ((~![VarCurr: $i] : ((~v115(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b011(B))))) | ((~v115(constB149)) | ![B: $i] : ((~less_3(B)) | (v124(constB149, B) <=> b011(B))))),
% 9.09/6.68 inference(quant_inst,[status(thm)],[])).
% 9.09/6.68 tff(22075,plain,
% 9.09/6.68 ((~![VarCurr: $i] : ((~v115(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b011(B))))) | (~v115(constB149)) | ![B: $i] : ((~less_3(B)) | (v124(constB149, B) <=> b011(B)))),
% 9.09/6.68 inference(modus_ponens,[status(thm)],[22074, 22073])).
% 9.09/6.68 tff(22076,plain,
% 9.09/6.68 ((~v115(constB149)) | ![B: $i] : ((~less_3(B)) | (v124(constB149, B) <=> b011(B)))),
% 9.09/6.68 inference(unit_resolution,[status(thm)],[22075, 10329])).
% 9.09/6.68 tff(22077,plain,
% 9.09/6.68 (![B: $i] : ((~less_3(B)) | (v124(constB149, B) <=> b011(B)))),
% 9.09/6.68 inference(unit_resolution,[status(thm)],[22076, 22000])).
% 9.09/6.68 tff(22078,plain,
% 9.09/6.68 (((~![B: $i] : ((~less_3(B)) | (v124(constB149, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v124(constB149, bitIndex2) <=> b011(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB149, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v124(constB149, bitIndex2) <=> b011(bitIndex2)))),
% 9.09/6.68 inference(rewrite,[status(thm)],[])).
% 9.09/6.68 tff(22079,plain,
% 9.09/6.68 ((~![B: $i] : ((~less_3(B)) | (v124(constB149, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v124(constB149, bitIndex2) <=> b011(bitIndex2)))),
% 9.09/6.68 inference(quant_inst,[status(thm)],[])).
% 9.09/6.68 tff(22080,plain,
% 9.09/6.68 ((~![B: $i] : ((~less_3(B)) | (v124(constB149, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v124(constB149, bitIndex2) <=> b011(bitIndex2))),
% 9.09/6.68 inference(modus_ponens,[status(thm)],[22079, 22078])).
% 9.09/6.68 tff(22081,plain,
% 9.09/6.68 (v124(constB149, bitIndex2) <=> b011(bitIndex2)),
% 9.09/6.68 inference(unit_resolution,[status(thm)],[22080, 832, 22077])).
% 9.09/6.68 tff(22082,plain,
% 9.09/6.68 ((~(v124(constB149, bitIndex2) <=> b011(bitIndex2))) | (~v124(constB149, bitIndex2)) | b011(bitIndex2)),
% 9.09/6.68 inference(tautology,[status(thm)],[])).
% 9.09/6.68 tff(22083,plain,
% 9.09/6.68 ((~(v124(constB149, bitIndex2) <=> b011(bitIndex2))) | (~v124(constB149, bitIndex2))),
% 9.09/6.68 inference(unit_resolution,[status(thm)],[22082, 10341])).
% 9.09/6.68 tff(22084,plain,
% 9.09/6.68 (~v124(constB149, bitIndex2)),
% 9.09/6.68 inference(unit_resolution,[status(thm)],[22083, 22081])).
% 9.09/6.68 tff(22085,plain,
% 9.09/6.68 ((~(v121(constB149, bitIndex2) <=> v124(constB149, bitIndex2))) | (~v121(constB149, bitIndex2)) | v124(constB149, bitIndex2)),
% 9.09/6.68 inference(tautology,[status(thm)],[])).
% 9.09/6.68 tff(22086,plain,
% 9.09/6.68 (~v121(constB149, bitIndex2)),
% 9.09/6.68 inference(unit_resolution,[status(thm)],[22085, 22084, 22072])).
% 9.09/6.68 tff(22087,plain,
% 9.09/6.68 ((~(v123(constB150, bitIndex2) <=> v121(constB149, bitIndex2))) | (~v123(constB150, bitIndex2)) | v121(constB149, bitIndex2)),
% 9.09/6.68 inference(tautology,[status(thm)],[])).
% 9.09/6.68 tff(22088,plain,
% 9.09/6.68 (~v123(constB150, bitIndex2)),
% 9.09/6.68 inference(unit_resolution,[status(thm)],[22087, 22086, 22064])).
% 9.09/6.68 tff(22089,plain,
% 9.09/6.68 ((~(v84(constB150, bitIndex2) <=> v123(constB150, bitIndex2))) | (~v84(constB150, bitIndex2)) | v123(constB150, bitIndex2)),
% 9.09/6.68 inference(tautology,[status(thm)],[])).
% 9.09/6.68 tff(22090,plain,
% 9.09/6.68 (~v84(constB150, bitIndex2)),
% 9.09/6.68 inference(unit_resolution,[status(thm)],[22089, 22088, 22056])).
% 9.09/6.68 tff(22091,plain,
% 9.09/6.68 ((~(v84(constB151, bitIndex2) <=> v84(constB150, bitIndex2))) | (~v84(constB151, bitIndex2)) | v84(constB150, bitIndex2)),
% 9.09/6.68 inference(tautology,[status(thm)],[])).
% 9.09/6.68 tff(22092,plain,
% 9.09/6.68 (~v84(constB151, bitIndex2)),
% 9.09/6.68 inference(unit_resolution,[status(thm)],[22091, 22090, 2912])).
% 9.09/6.68 tff(22093,plain,
% 9.09/6.68 (((~![B: $i] : ((~less_3(B)) | (v84(constB151, B) <=> v84(constB150, B)))) | ((~less_3(bitIndex0)) | (v84(constB151, bitIndex0) <=> v84(constB150, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB151, B) <=> v84(constB150, B)))) | (~less_3(bitIndex0)) | (v84(constB151, bitIndex0) <=> v84(constB150, bitIndex0)))),
% 9.09/6.68 inference(rewrite,[status(thm)],[])).
% 9.09/6.68 tff(22094,plain,
% 9.09/6.68 ((~![B: $i] : ((~less_3(B)) | (v84(constB151, B) <=> v84(constB150, B)))) | ((~less_3(bitIndex0)) | (v84(constB151, bitIndex0) <=> v84(constB150, bitIndex0)))),
% 9.09/6.68 inference(quant_inst,[status(thm)],[])).
% 9.09/6.68 tff(22095,plain,
% 9.09/6.68 ((~![B: $i] : ((~less_3(B)) | (v84(constB151, B) <=> v84(constB150, B)))) | (~less_3(bitIndex0)) | (v84(constB151, bitIndex0) <=> v84(constB150, bitIndex0))),
% 9.09/6.68 inference(modus_ponens,[status(thm)],[22094, 22093])).
% 9.09/6.68 tff(22096,plain,
% 9.09/6.68 (v84(constB151, bitIndex0) <=> v84(constB150, bitIndex0)),
% 9.09/6.68 inference(unit_resolution,[status(thm)],[22095, 9772, 2908])).
% 9.09/6.68 tff(22097,plain,
% 9.09/6.68 (((~![B: $i] : ((~less_3(B)) | (v84(constB150, B) <=> v123(constB150, B)))) | ((~less_3(bitIndex0)) | (v84(constB150, bitIndex0) <=> v123(constB150, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB150, B) <=> v123(constB150, B)))) | (~less_3(bitIndex0)) | (v84(constB150, bitIndex0) <=> v123(constB150, bitIndex0)))),
% 9.09/6.68 inference(rewrite,[status(thm)],[])).
% 9.09/6.68 tff(22098,plain,
% 9.09/6.68 ((~![B: $i] : ((~less_3(B)) | (v84(constB150, B) <=> v123(constB150, B)))) | ((~less_3(bitIndex0)) | (v84(constB150, bitIndex0) <=> v123(constB150, bitIndex0)))),
% 9.09/6.68 inference(quant_inst,[status(thm)],[])).
% 9.09/6.68 tff(22099,plain,
% 9.09/6.68 ((~![B: $i] : ((~less_3(B)) | (v84(constB150, B) <=> v123(constB150, B)))) | (~less_3(bitIndex0)) | (v84(constB150, bitIndex0) <=> v123(constB150, bitIndex0))),
% 9.09/6.68 inference(modus_ponens,[status(thm)],[22098, 22097])).
% 9.09/6.68 tff(22100,plain,
% 9.09/6.68 (v84(constB150, bitIndex0) <=> v123(constB150, bitIndex0)),
% 9.09/6.68 inference(unit_resolution,[status(thm)],[22099, 9772, 22052])).
% 9.09/6.68 tff(22101,plain,
% 9.09/6.68 (((~![B: $i] : ((~less_3(B)) | (v123(constB150, B) <=> v121(constB149, B)))) | ((~less_3(bitIndex0)) | (v123(constB150, bitIndex0) <=> v121(constB149, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB150, B) <=> v121(constB149, B)))) | (~less_3(bitIndex0)) | (v123(constB150, bitIndex0) <=> v121(constB149, bitIndex0)))),
% 9.09/6.68 inference(rewrite,[status(thm)],[])).
% 9.09/6.68 tff(22102,plain,
% 9.09/6.68 ((~![B: $i] : ((~less_3(B)) | (v123(constB150, B) <=> v121(constB149, B)))) | ((~less_3(bitIndex0)) | (v123(constB150, bitIndex0) <=> v121(constB149, bitIndex0)))),
% 9.09/6.68 inference(quant_inst,[status(thm)],[])).
% 9.09/6.68 tff(22103,plain,
% 9.09/6.68 ((~![B: $i] : ((~less_3(B)) | (v123(constB150, B) <=> v121(constB149, B)))) | (~less_3(bitIndex0)) | (v123(constB150, bitIndex0) <=> v121(constB149, bitIndex0))),
% 9.09/6.68 inference(modus_ponens,[status(thm)],[22102, 22101])).
% 9.09/6.68 tff(22104,plain,
% 9.09/6.68 (v123(constB150, bitIndex0) <=> v121(constB149, bitIndex0)),
% 9.09/6.68 inference(unit_resolution,[status(thm)],[22103, 9772, 22060])).
% 9.09/6.68 tff(22105,plain,
% 9.09/6.68 (((~![B: $i] : ((~less_3(B)) | (v121(constB149, B) <=> v124(constB149, B)))) | ((~less_3(bitIndex0)) | (v121(constB149, bitIndex0) <=> v124(constB149, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB149, B) <=> v124(constB149, B)))) | (~less_3(bitIndex0)) | (v121(constB149, bitIndex0) <=> v124(constB149, bitIndex0)))),
% 9.09/6.68 inference(rewrite,[status(thm)],[])).
% 9.09/6.68 tff(22106,plain,
% 9.09/6.68 ((~![B: $i] : ((~less_3(B)) | (v121(constB149, B) <=> v124(constB149, B)))) | ((~less_3(bitIndex0)) | (v121(constB149, bitIndex0) <=> v124(constB149, bitIndex0)))),
% 9.09/6.68 inference(quant_inst,[status(thm)],[])).
% 9.09/6.68 tff(22107,plain,
% 9.09/6.68 ((~![B: $i] : ((~less_3(B)) | (v121(constB149, B) <=> v124(constB149, B)))) | (~less_3(bitIndex0)) | (v121(constB149, bitIndex0) <=> v124(constB149, bitIndex0))),
% 9.09/6.68 inference(modus_ponens,[status(thm)],[22106, 22105])).
% 9.09/6.68 tff(22108,plain,
% 9.09/6.68 (v121(constB149, bitIndex0) <=> v124(constB149, bitIndex0)),
% 9.09/6.68 inference(unit_resolution,[status(thm)],[22107, 9772, 22068])).
% 9.09/6.68 tff(22109,plain,
% 9.09/6.68 (((~![B: $i] : ((~less_3(B)) | (v124(constB149, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v124(constB149, bitIndex0) <=> b011(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB149, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v124(constB149, bitIndex0) <=> b011(bitIndex0)))),
% 9.09/6.68 inference(rewrite,[status(thm)],[])).
% 9.09/6.68 tff(22110,plain,
% 9.09/6.68 ((~![B: $i] : ((~less_3(B)) | (v124(constB149, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v124(constB149, bitIndex0) <=> b011(bitIndex0)))),
% 9.09/6.68 inference(quant_inst,[status(thm)],[])).
% 9.09/6.68 tff(22111,plain,
% 9.09/6.68 ((~![B: $i] : ((~less_3(B)) | (v124(constB149, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v124(constB149, bitIndex0) <=> b011(bitIndex0))),
% 9.09/6.68 inference(modus_ponens,[status(thm)],[22110, 22109])).
% 9.09/6.68 tff(22112,plain,
% 9.09/6.68 (v124(constB149, bitIndex0) <=> b011(bitIndex0)),
% 9.09/6.68 inference(unit_resolution,[status(thm)],[22111, 9772, 22077])).
% 9.09/6.68 tff(22113,plain,
% 9.09/6.68 ((~(v124(constB149, bitIndex0) <=> b011(bitIndex0))) | v124(constB149, bitIndex0) | (~b011(bitIndex0))),
% 9.09/6.68 inference(tautology,[status(thm)],[])).
% 9.09/6.68 tff(22114,plain,
% 9.09/6.68 ((~(v124(constB149, bitIndex0) <=> b011(bitIndex0))) | v124(constB149, bitIndex0)),
% 9.09/6.68 inference(unit_resolution,[status(thm)],[22113, 10375])).
% 9.09/6.68 tff(22115,plain,
% 9.09/6.68 (v124(constB149, bitIndex0)),
% 9.09/6.68 inference(unit_resolution,[status(thm)],[22114, 22112])).
% 9.09/6.68 tff(22116,plain,
% 9.09/6.68 ((~(v121(constB149, bitIndex0) <=> v124(constB149, bitIndex0))) | v121(constB149, bitIndex0) | (~v124(constB149, bitIndex0))),
% 9.09/6.68 inference(tautology,[status(thm)],[])).
% 9.09/6.68 tff(22117,plain,
% 9.09/6.68 (v121(constB149, bitIndex0)),
% 9.09/6.68 inference(unit_resolution,[status(thm)],[22116, 22115, 22108])).
% 9.09/6.68 tff(22118,plain,
% 9.09/6.68 ((~(v123(constB150, bitIndex0) <=> v121(constB149, bitIndex0))) | v123(constB150, bitIndex0) | (~v121(constB149, bitIndex0))),
% 9.09/6.68 inference(tautology,[status(thm)],[])).
% 9.09/6.68 tff(22119,plain,
% 9.09/6.68 (v123(constB150, bitIndex0)),
% 9.09/6.68 inference(unit_resolution,[status(thm)],[22118, 22117, 22104])).
% 9.09/6.68 tff(22120,plain,
% 9.09/6.68 ((~(v84(constB150, bitIndex0) <=> v123(constB150, bitIndex0))) | v84(constB150, bitIndex0) | (~v123(constB150, bitIndex0))),
% 9.09/6.68 inference(tautology,[status(thm)],[])).
% 9.09/6.68 tff(22121,plain,
% 9.09/6.68 (v84(constB150, bitIndex0)),
% 9.09/6.68 inference(unit_resolution,[status(thm)],[22120, 22119, 22100])).
% 9.09/6.68 tff(22122,plain,
% 9.09/6.68 ((~(v84(constB151, bitIndex0) <=> v84(constB150, bitIndex0))) | v84(constB151, bitIndex0) | (~v84(constB150, bitIndex0))),
% 9.09/6.68 inference(tautology,[status(thm)],[])).
% 9.09/6.68 tff(22123,plain,
% 9.09/6.68 (v84(constB151, bitIndex0)),
% 9.09/6.68 inference(unit_resolution,[status(thm)],[22122, 22121, 22096])).
% 9.09/6.68 tff(22124,plain,
% 9.09/6.68 (((~![B: $i] : ((~less_3(B)) | (v84(constB151, B) <=> v84(constB150, B)))) | ((~less_3(bitIndex1)) | (v84(constB151, bitIndex1) <=> v84(constB150, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB151, B) <=> v84(constB150, B)))) | (~less_3(bitIndex1)) | (v84(constB151, bitIndex1) <=> v84(constB150, bitIndex1)))),
% 9.09/6.68 inference(rewrite,[status(thm)],[])).
% 9.09/6.68 tff(22125,plain,
% 9.09/6.68 ((~![B: $i] : ((~less_3(B)) | (v84(constB151, B) <=> v84(constB150, B)))) | ((~less_3(bitIndex1)) | (v84(constB151, bitIndex1) <=> v84(constB150, bitIndex1)))),
% 9.09/6.68 inference(quant_inst,[status(thm)],[])).
% 9.09/6.68 tff(22126,plain,
% 9.09/6.68 ((~![B: $i] : ((~less_3(B)) | (v84(constB151, B) <=> v84(constB150, B)))) | (~less_3(bitIndex1)) | (v84(constB151, bitIndex1) <=> v84(constB150, bitIndex1))),
% 9.09/6.68 inference(modus_ponens,[status(thm)],[22125, 22124])).
% 9.09/6.68 tff(22127,plain,
% 9.09/6.68 (v84(constB151, bitIndex1) <=> v84(constB150, bitIndex1)),
% 9.09/6.68 inference(unit_resolution,[status(thm)],[22126, 9785, 2908])).
% 9.09/6.68 tff(22128,plain,
% 9.09/6.68 (((~![B: $i] : ((~less_3(B)) | (v84(constB150, B) <=> v123(constB150, B)))) | ((~less_3(bitIndex1)) | (v84(constB150, bitIndex1) <=> v123(constB150, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB150, B) <=> v123(constB150, B)))) | (~less_3(bitIndex1)) | (v84(constB150, bitIndex1) <=> v123(constB150, bitIndex1)))),
% 9.09/6.68 inference(rewrite,[status(thm)],[])).
% 9.09/6.68 tff(22129,plain,
% 9.09/6.68 ((~![B: $i] : ((~less_3(B)) | (v84(constB150, B) <=> v123(constB150, B)))) | ((~less_3(bitIndex1)) | (v84(constB150, bitIndex1) <=> v123(constB150, bitIndex1)))),
% 9.09/6.68 inference(quant_inst,[status(thm)],[])).
% 9.09/6.68 tff(22130,plain,
% 9.09/6.68 ((~![B: $i] : ((~less_3(B)) | (v84(constB150, B) <=> v123(constB150, B)))) | (~less_3(bitIndex1)) | (v84(constB150, bitIndex1) <=> v123(constB150, bitIndex1))),
% 9.09/6.68 inference(modus_ponens,[status(thm)],[22129, 22128])).
% 9.09/6.68 tff(22131,plain,
% 9.09/6.68 (v84(constB150, bitIndex1) <=> v123(constB150, bitIndex1)),
% 9.09/6.68 inference(unit_resolution,[status(thm)],[22130, 9785, 22052])).
% 9.09/6.68 tff(22132,plain,
% 9.09/6.68 (((~![B: $i] : ((~less_3(B)) | (v123(constB150, B) <=> v121(constB149, B)))) | ((~less_3(bitIndex1)) | (v123(constB150, bitIndex1) <=> v121(constB149, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB150, B) <=> v121(constB149, B)))) | (~less_3(bitIndex1)) | (v123(constB150, bitIndex1) <=> v121(constB149, bitIndex1)))),
% 9.09/6.68 inference(rewrite,[status(thm)],[])).
% 9.09/6.68 tff(22133,plain,
% 9.09/6.68 ((~![B: $i] : ((~less_3(B)) | (v123(constB150, B) <=> v121(constB149, B)))) | ((~less_3(bitIndex1)) | (v123(constB150, bitIndex1) <=> v121(constB149, bitIndex1)))),
% 9.09/6.68 inference(quant_inst,[status(thm)],[])).
% 9.09/6.68 tff(22134,plain,
% 9.09/6.68 ((~![B: $i] : ((~less_3(B)) | (v123(constB150, B) <=> v121(constB149, B)))) | (~less_3(bitIndex1)) | (v123(constB150, bitIndex1) <=> v121(constB149, bitIndex1))),
% 9.09/6.68 inference(modus_ponens,[status(thm)],[22133, 22132])).
% 9.09/6.68 tff(22135,plain,
% 9.09/6.68 (v123(constB150, bitIndex1) <=> v121(constB149, bitIndex1)),
% 9.09/6.68 inference(unit_resolution,[status(thm)],[22134, 9785, 22060])).
% 9.09/6.68 tff(22136,plain,
% 9.09/6.68 (((~![B: $i] : ((~less_3(B)) | (v121(constB149, B) <=> v124(constB149, B)))) | ((~less_3(bitIndex1)) | (v121(constB149, bitIndex1) <=> v124(constB149, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB149, B) <=> v124(constB149, B)))) | (~less_3(bitIndex1)) | (v121(constB149, bitIndex1) <=> v124(constB149, bitIndex1)))),
% 9.09/6.68 inference(rewrite,[status(thm)],[])).
% 9.09/6.68 tff(22137,plain,
% 9.09/6.68 ((~![B: $i] : ((~less_3(B)) | (v121(constB149, B) <=> v124(constB149, B)))) | ((~less_3(bitIndex1)) | (v121(constB149, bitIndex1) <=> v124(constB149, bitIndex1)))),
% 9.09/6.68 inference(quant_inst,[status(thm)],[])).
% 9.09/6.68 tff(22138,plain,
% 9.09/6.68 ((~![B: $i] : ((~less_3(B)) | (v121(constB149, B) <=> v124(constB149, B)))) | (~less_3(bitIndex1)) | (v121(constB149, bitIndex1) <=> v124(constB149, bitIndex1))),
% 9.09/6.68 inference(modus_ponens,[status(thm)],[22137, 22136])).
% 9.09/6.68 tff(22139,plain,
% 9.09/6.68 (v121(constB149, bitIndex1) <=> v124(constB149, bitIndex1)),
% 9.09/6.68 inference(unit_resolution,[status(thm)],[22138, 9785, 22068])).
% 9.09/6.68 tff(22140,plain,
% 9.09/6.68 (((~![B: $i] : ((~less_3(B)) | (v124(constB149, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v124(constB149, bitIndex1) <=> b011(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB149, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v124(constB149, bitIndex1) <=> b011(bitIndex1)))),
% 9.09/6.68 inference(rewrite,[status(thm)],[])).
% 9.09/6.68 tff(22141,plain,
% 9.09/6.68 ((~![B: $i] : ((~less_3(B)) | (v124(constB149, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v124(constB149, bitIndex1) <=> b011(bitIndex1)))),
% 9.09/6.68 inference(quant_inst,[status(thm)],[])).
% 9.09/6.68 tff(22142,plain,
% 9.09/6.68 ((~![B: $i] : ((~less_3(B)) | (v124(constB149, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v124(constB149, bitIndex1) <=> b011(bitIndex1))),
% 9.09/6.68 inference(modus_ponens,[status(thm)],[22141, 22140])).
% 9.09/6.68 tff(22143,plain,
% 9.09/6.68 (v124(constB149, bitIndex1) <=> b011(bitIndex1)),
% 9.09/6.68 inference(unit_resolution,[status(thm)],[22142, 9785, 22077])).
% 9.09/6.68 tff(22144,plain,
% 9.09/6.68 ((~(v124(constB149, bitIndex1) <=> b011(bitIndex1))) | v124(constB149, bitIndex1) | (~b011(bitIndex1))),
% 9.09/6.68 inference(tautology,[status(thm)],[])).
% 9.09/6.68 tff(22145,plain,
% 9.09/6.68 ((~(v124(constB149, bitIndex1) <=> b011(bitIndex1))) | v124(constB149, bitIndex1)),
% 9.09/6.68 inference(unit_resolution,[status(thm)],[22144, 10409])).
% 9.09/6.68 tff(22146,plain,
% 9.09/6.68 (v124(constB149, bitIndex1)),
% 9.09/6.68 inference(unit_resolution,[status(thm)],[22145, 22143])).
% 9.09/6.68 tff(22147,plain,
% 9.09/6.68 ((~(v121(constB149, bitIndex1) <=> v124(constB149, bitIndex1))) | v121(constB149, bitIndex1) | (~v124(constB149, bitIndex1))),
% 9.09/6.68 inference(tautology,[status(thm)],[])).
% 9.09/6.68 tff(22148,plain,
% 9.09/6.68 (v121(constB149, bitIndex1)),
% 9.09/6.68 inference(unit_resolution,[status(thm)],[22147, 22146, 22139])).
% 9.09/6.68 tff(22149,plain,
% 9.09/6.68 ((~(v123(constB150, bitIndex1) <=> v121(constB149, bitIndex1))) | v123(constB150, bitIndex1) | (~v121(constB149, bitIndex1))),
% 9.09/6.68 inference(tautology,[status(thm)],[])).
% 9.09/6.68 tff(22150,plain,
% 9.09/6.68 (v123(constB150, bitIndex1)),
% 9.09/6.68 inference(unit_resolution,[status(thm)],[22149, 22148, 22135])).
% 9.09/6.68 tff(22151,plain,
% 9.09/6.68 ((~(v84(constB150, bitIndex1) <=> v123(constB150, bitIndex1))) | v84(constB150, bitIndex1) | (~v123(constB150, bitIndex1))),
% 9.09/6.68 inference(tautology,[status(thm)],[])).
% 9.09/6.68 tff(22152,plain,
% 9.09/6.68 (v84(constB150, bitIndex1)),
% 9.09/6.68 inference(unit_resolution,[status(thm)],[22151, 22150, 22131])).
% 9.09/6.68 tff(22153,plain,
% 9.09/6.68 ((~(v84(constB151, bitIndex1) <=> v84(constB150, bitIndex1))) | v84(constB151, bitIndex1) | (~v84(constB150, bitIndex1))),
% 9.09/6.68 inference(tautology,[status(thm)],[])).
% 9.09/6.68 tff(22154,plain,
% 9.09/6.68 (v84(constB151, bitIndex1)),
% 9.09/6.68 inference(unit_resolution,[status(thm)],[22153, 22152, 22127])).
% 9.09/6.68 tff(22155,plain,
% 9.09/6.68 ((~(v84(constB151, bitIndex2) | (~v84(constB151, bitIndex1)) | (~v84(constB151, bitIndex0)))) | v84(constB151, bitIndex2) | (~v84(constB151, bitIndex1)) | (~v84(constB151, bitIndex0))),
% 9.09/6.68 inference(tautology,[status(thm)],[])).
% 9.09/6.68 tff(22156,plain,
% 9.09/6.68 (~(v84(constB151, bitIndex2) | (~v84(constB151, bitIndex1)) | (~v84(constB151, bitIndex0)))),
% 9.09/6.68 inference(unit_resolution,[status(thm)],[22155, 22154, 22123, 22092])).
% 9.09/6.68 tff(22157,plain,
% 9.09/6.68 ((~(v116(constB151) <=> (~(v84(constB151, bitIndex2) | (~v84(constB151, bitIndex1)) | (~v84(constB151, bitIndex0)))))) | v116(constB151) | (v84(constB151, bitIndex2) | (~v84(constB151, bitIndex1)) | (~v84(constB151, bitIndex0)))),
% 9.09/6.68 inference(tautology,[status(thm)],[])).
% 9.09/6.68 tff(22158,plain,
% 9.09/6.68 (v116(constB151)),
% 9.09/6.68 inference(unit_resolution,[status(thm)],[22157, 22156, 2880])).
% 9.09/6.68 tff(22159,plain,
% 9.09/6.68 ((v111(constB151) | v116(constB151)) | (~v116(constB151))),
% 9.09/6.68 inference(tautology,[status(thm)],[])).
% 9.09/6.68 tff(22160,plain,
% 9.09/6.68 (v111(constB151) | v116(constB151)),
% 9.09/6.68 inference(unit_resolution,[status(thm)],[22159, 22158])).
% 9.09/6.68 tff(22161,plain,
% 9.09/6.68 ((~(v110(constB151) <=> (v111(constB151) | v116(constB151)))) | v110(constB151) | (~(v111(constB151) | v116(constB151)))),
% 9.09/6.68 inference(tautology,[status(thm)],[])).
% 9.09/6.68 tff(22162,plain,
% 9.09/6.68 (v110(constB151)),
% 9.09/6.68 inference(unit_resolution,[status(thm)],[22161, 22160, 2878])).
% 9.09/6.68 tff(22163,plain,
% 9.09/6.68 ((v110(constB151) | v117(constB151)) | (~v110(constB151))),
% 9.09/6.68 inference(tautology,[status(thm)],[])).
% 9.09/6.68 tff(22164,plain,
% 9.09/6.68 (v110(constB151) | v117(constB151)),
% 9.09/6.68 inference(unit_resolution,[status(thm)],[22163, 22162])).
% 9.09/6.68 tff(22165,plain,
% 9.09/6.68 ((~(v109(constB151) <=> (v110(constB151) | v117(constB151)))) | v109(constB151) | (~(v110(constB151) | v117(constB151)))),
% 9.09/6.68 inference(tautology,[status(thm)],[])).
% 9.09/6.68 tff(22166,plain,
% 9.09/6.68 (v109(constB151)),
% 9.09/6.68 inference(unit_resolution,[status(thm)],[22165, 22164, 2876])).
% 9.09/6.68 tff(22167,plain,
% 9.09/6.68 ((v109(constB151) | v118(constB151)) | (~v109(constB151))),
% 9.09/6.68 inference(tautology,[status(thm)],[])).
% 9.09/6.68 tff(22168,plain,
% 9.09/6.68 (v109(constB151) | v118(constB151)),
% 9.09/6.68 inference(unit_resolution,[status(thm)],[22167, 22166])).
% 9.09/6.68 tff(22169,plain,
% 9.09/6.68 ((~(v108(constB151) <=> (v109(constB151) | v118(constB151)))) | v108(constB151) | (~(v109(constB151) | v118(constB151)))),
% 9.09/6.68 inference(tautology,[status(thm)],[])).
% 9.09/6.68 tff(22170,plain,
% 9.09/6.68 (v108(constB151)),
% 9.09/6.68 inference(unit_resolution,[status(thm)],[22169, 22168, 2874])).
% 9.09/6.68 tff(22171,plain,
% 9.09/6.68 ((v108(constB151) | v119(constB151)) | (~v108(constB151))),
% 9.09/6.68 inference(tautology,[status(thm)],[])).
% 9.09/6.68 tff(22172,plain,
% 9.09/6.68 (v108(constB151) | v119(constB151)),
% 9.09/6.68 inference(unit_resolution,[status(thm)],[22171, 22170])).
% 9.09/6.68 tff(22173,plain,
% 9.09/6.68 ((~(v107(constB151) <=> (v108(constB151) | v119(constB151)))) | v107(constB151) | (~(v108(constB151) | v119(constB151)))),
% 9.09/6.68 inference(tautology,[status(thm)],[])).
% 9.09/6.68 tff(22174,plain,
% 9.09/6.68 (v107(constB151)),
% 9.09/6.68 inference(unit_resolution,[status(thm)],[22173, 22172, 2872])).
% 9.09/6.68 tff(22175,plain,
% 9.09/6.68 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB151)) <=> v105(constB151))),
% 9.09/6.68 inference(quant_inst,[status(thm)],[])).
% 9.09/6.68 tff(22176,plain,
% 9.09/6.68 ((~v120(constB151)) <=> v105(constB151)),
% 9.09/6.68 inference(unit_resolution,[status(thm)],[22175, 9842])).
% 9.09/6.68 tff(22177,plain,
% 9.09/6.68 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB151) <=> v26(constB151))),
% 9.09/6.68 inference(quant_inst,[status(thm)],[])).
% 9.09/6.68 tff(22178,plain,
% 9.09/6.68 (v105(constB151) <=> v26(constB151)),
% 9.09/6.68 inference(unit_resolution,[status(thm)],[22177, 9854])).
% 9.09/6.68 tff(22179,plain,
% 9.09/6.68 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB151))),
% 9.09/6.68 inference(quant_inst,[status(thm)],[])).
% 9.09/6.68 tff(22180,plain,
% 9.09/6.68 (~v26(constB151)),
% 9.09/6.68 inference(unit_resolution,[status(thm)],[22179, 9866])).
% 9.09/6.68 tff(22181,plain,
% 9.09/6.68 ((~(v105(constB151) <=> v26(constB151))) | (~v105(constB151)) | v26(constB151)),
% 9.09/6.68 inference(tautology,[status(thm)],[])).
% 9.09/6.68 tff(22182,plain,
% 9.09/6.68 ((~(v105(constB151) <=> v26(constB151))) | (~v105(constB151))),
% 9.09/6.68 inference(unit_resolution,[status(thm)],[22181, 22180])).
% 9.09/6.68 tff(22183,plain,
% 9.09/6.68 (~v105(constB151)),
% 9.09/6.68 inference(unit_resolution,[status(thm)],[22182, 22178])).
% 9.09/6.68 tff(22184,plain,
% 9.09/6.68 ((~((~v120(constB151)) <=> v105(constB151))) | v120(constB151) | v105(constB151)),
% 9.09/6.68 inference(tautology,[status(thm)],[])).
% 9.09/6.68 tff(22185,plain,
% 9.09/6.68 ((~((~v120(constB151)) <=> v105(constB151))) | v120(constB151)),
% 9.09/6.68 inference(unit_resolution,[status(thm)],[22184, 22183])).
% 9.09/6.68 tff(22186,plain,
% 9.09/6.68 (v120(constB151)),
% 9.09/6.68 inference(unit_resolution,[status(thm)],[22185, 22176])).
% 9.09/6.68 tff(22187,plain,
% 9.09/6.68 ((~((~v107(constB151)) | (~v120(constB151)))) | (~v107(constB151)) | (~v120(constB151))),
% 9.09/6.68 inference(tautology,[status(thm)],[])).
% 9.09/6.68 tff(22188,plain,
% 9.09/6.68 ((~((~v107(constB151)) | (~v120(constB151)))) | (~v107(constB151))),
% 9.09/6.68 inference(unit_resolution,[status(thm)],[22187, 22186])).
% 9.09/6.68 tff(22189,plain,
% 9.09/6.68 (~((~v107(constB151)) | (~v120(constB151)))),
% 9.09/6.68 inference(unit_resolution,[status(thm)],[22188, 22174])).
% 9.09/6.68 tff(22190,plain,
% 9.09/6.68 ((~(v106(constB151) <=> (~((~v107(constB151)) | (~v120(constB151)))))) | v106(constB151) | ((~v107(constB151)) | (~v120(constB151)))),
% 9.09/6.68 inference(tautology,[status(thm)],[])).
% 9.09/6.68 tff(22191,plain,
% 9.09/6.68 (v106(constB151)),
% 9.09/6.68 inference(unit_resolution,[status(thm)],[22190, 22189, 2870])).
% 9.09/6.68 tff(22192,plain,
% 9.09/6.68 ((v105(constB151) | v106(constB151)) | (~v106(constB151))),
% 9.09/6.68 inference(tautology,[status(thm)],[])).
% 9.09/6.68 tff(22193,plain,
% 9.09/6.68 (v105(constB151) | v106(constB151)),
% 9.09/6.68 inference(unit_resolution,[status(thm)],[22192, 22191])).
% 9.09/6.68 tff(22194,plain,
% 9.09/6.68 ((~(v102(constB151) <=> (v105(constB151) | v106(constB151)))) | v102(constB151) | (~(v105(constB151) | v106(constB151)))),
% 9.09/6.68 inference(tautology,[status(thm)],[])).
% 9.09/6.68 tff(22195,plain,
% 9.09/6.68 (v102(constB151)),
% 9.09/6.68 inference(unit_resolution,[status(thm)],[22194, 22193, 2868])).
% 9.09/6.68 tff(22196,plain,
% 9.09/6.68 ((~(v104(constB152) <=> v102(constB151))) | v104(constB152) | (~v102(constB151))),
% 9.09/6.68 inference(tautology,[status(thm)],[])).
% 9.09/6.68 tff(22197,plain,
% 9.09/6.68 (v104(constB152)),
% 9.09/6.68 inference(unit_resolution,[status(thm)],[22196, 22195, 2866])).
% 9.09/6.68 tff(22198,plain,
% 9.09/6.68 ((~((~v104(constB152)) | (~v95(constB152)))) | (~v104(constB152)) | (~v95(constB152))),
% 9.09/6.68 inference(tautology,[status(thm)],[])).
% 9.09/6.68 tff(22199,plain,
% 9.09/6.68 (~((~v104(constB152)) | (~v95(constB152)))),
% 9.09/6.68 inference(unit_resolution,[status(thm)],[22198, 22197, 2862])).
% 9.09/6.68 tff(22200,plain,
% 9.09/6.68 ((~(v94(constB152) <=> (~((~v104(constB152)) | (~v95(constB152)))))) | v94(constB152) | ((~v104(constB152)) | (~v95(constB152)))),
% 9.09/6.68 inference(tautology,[status(thm)],[])).
% 9.09/6.68 tff(22201,plain,
% 9.09/6.68 (v94(constB152)),
% 9.09/6.68 inference(unit_resolution,[status(thm)],[22200, 22199, 2831])).
% 9.09/6.68 tff(22202,plain,
% 9.09/6.68 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB152)) | ![B: $i] : ((~less_3(B)) | (v84(constB152, B) <=> v123(constB152, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB152)) | ![B: $i] : ((~less_3(B)) | (v84(constB152, B) <=> v123(constB152, B))))),
% 9.09/6.68 inference(rewrite,[status(thm)],[])).
% 9.09/6.68 tff(22203,plain,
% 9.09/6.68 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB152)) | ![B: $i] : ((~less_3(B)) | (v84(constB152, B) <=> v123(constB152, B))))),
% 9.09/6.68 inference(quant_inst,[status(thm)],[])).
% 9.09/6.68 tff(22204,plain,
% 9.09/6.68 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB152)) | ![B: $i] : ((~less_3(B)) | (v84(constB152, B) <=> v123(constB152, B)))),
% 9.09/6.68 inference(modus_ponens,[status(thm)],[22203, 22202])).
% 9.09/6.68 tff(22205,plain,
% 9.09/6.68 ((~v94(constB152)) | ![B: $i] : ((~less_3(B)) | (v84(constB152, B) <=> v123(constB152, B)))),
% 9.09/6.68 inference(unit_resolution,[status(thm)],[22204, 9902])).
% 9.09/6.68 tff(22206,plain,
% 9.09/6.68 (![B: $i] : ((~less_3(B)) | (v84(constB152, B) <=> v123(constB152, B)))),
% 9.09/6.68 inference(unit_resolution,[status(thm)],[22205, 22201])).
% 9.09/6.68 tff(22207,plain,
% 9.09/6.68 (((~![B: $i] : ((~less_3(B)) | (v84(constB152, B) <=> v123(constB152, B)))) | ((~less_3(bitIndex2)) | (v84(constB152, bitIndex2) <=> v123(constB152, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB152, B) <=> v123(constB152, B)))) | (~less_3(bitIndex2)) | (v84(constB152, bitIndex2) <=> v123(constB152, bitIndex2)))),
% 9.09/6.68 inference(rewrite,[status(thm)],[])).
% 9.09/6.68 tff(22208,plain,
% 9.09/6.68 ((~![B: $i] : ((~less_3(B)) | (v84(constB152, B) <=> v123(constB152, B)))) | ((~less_3(bitIndex2)) | (v84(constB152, bitIndex2) <=> v123(constB152, bitIndex2)))),
% 9.09/6.68 inference(quant_inst,[status(thm)],[])).
% 9.09/6.68 tff(22209,plain,
% 9.09/6.68 ((~![B: $i] : ((~less_3(B)) | (v84(constB152, B) <=> v123(constB152, B)))) | (~less_3(bitIndex2)) | (v84(constB152, bitIndex2) <=> v123(constB152, bitIndex2))),
% 9.09/6.68 inference(modus_ponens,[status(thm)],[22208, 22207])).
% 9.09/6.68 tff(22210,plain,
% 9.09/6.68 (v84(constB152, bitIndex2) <=> v123(constB152, bitIndex2)),
% 9.09/6.68 inference(unit_resolution,[status(thm)],[22209, 832, 22206])).
% 9.09/6.68 tff(22211,plain,
% 9.09/6.68 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB151, constB152)) | ![B: $i] : ((~less_3(B)) | (v123(constB152, B) <=> v121(constB151, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB151, constB152)) | ![B: $i] : ((~less_3(B)) | (v123(constB152, B) <=> v121(constB151, B))))),
% 9.09/6.68 inference(rewrite,[status(thm)],[])).
% 9.09/6.68 tff(22212,plain,
% 9.09/6.68 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB151, constB152)) | ![B: $i] : ((~less_3(B)) | (v123(constB152, B) <=> v121(constB151, B))))),
% 9.09/6.68 inference(quant_inst,[status(thm)],[])).
% 9.09/6.68 tff(22213,plain,
% 9.09/6.68 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB151, constB152)) | ![B: $i] : ((~less_3(B)) | (v123(constB152, B) <=> v121(constB151, B)))),
% 9.09/6.68 inference(modus_ponens,[status(thm)],[22212, 22211])).
% 9.09/6.68 tff(22214,plain,
% 9.09/6.68 (![B: $i] : ((~less_3(B)) | (v123(constB152, B) <=> v121(constB151, B)))),
% 9.09/6.68 inference(unit_resolution,[status(thm)],[22213, 2827, 9924])).
% 9.09/6.68 tff(22215,plain,
% 9.09/6.68 (((~![B: $i] : ((~less_3(B)) | (v123(constB152, B) <=> v121(constB151, B)))) | ((~less_3(bitIndex2)) | (v123(constB152, bitIndex2) <=> v121(constB151, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB152, B) <=> v121(constB151, B)))) | (~less_3(bitIndex2)) | (v123(constB152, bitIndex2) <=> v121(constB151, bitIndex2)))),
% 9.09/6.68 inference(rewrite,[status(thm)],[])).
% 9.09/6.68 tff(22216,plain,
% 9.09/6.68 ((~![B: $i] : ((~less_3(B)) | (v123(constB152, B) <=> v121(constB151, B)))) | ((~less_3(bitIndex2)) | (v123(constB152, bitIndex2) <=> v121(constB151, bitIndex2)))),
% 9.09/6.68 inference(quant_inst,[status(thm)],[])).
% 9.09/6.68 tff(22217,plain,
% 9.09/6.68 ((~![B: $i] : ((~less_3(B)) | (v123(constB152, B) <=> v121(constB151, B)))) | (~less_3(bitIndex2)) | (v123(constB152, bitIndex2) <=> v121(constB151, bitIndex2))),
% 9.09/6.68 inference(modus_ponens,[status(thm)],[22216, 22215])).
% 9.09/6.68 tff(22218,plain,
% 9.09/6.68 (v123(constB152, bitIndex2) <=> v121(constB151, bitIndex2)),
% 9.09/6.68 inference(unit_resolution,[status(thm)],[22217, 832, 22214])).
% 9.09/6.68 tff(22219,plain,
% 9.09/6.68 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB151) | ![B: $i] : ((~less_3(B)) | (v121(constB151, B) <=> v124(constB151, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB151) | ![B: $i] : ((~less_3(B)) | (v121(constB151, B) <=> v124(constB151, B))))),
% 9.09/6.68 inference(rewrite,[status(thm)],[])).
% 9.09/6.68 tff(22220,plain,
% 9.09/6.68 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB151) | ![B: $i] : ((~less_3(B)) | (v121(constB151, B) <=> v124(constB151, B))))),
% 9.09/6.68 inference(quant_inst,[status(thm)],[])).
% 9.09/6.68 tff(22221,plain,
% 9.09/6.68 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB151) | ![B: $i] : ((~less_3(B)) | (v121(constB151, B) <=> v124(constB151, B)))),
% 9.09/6.68 inference(modus_ponens,[status(thm)],[22220, 22219])).
% 9.09/6.68 tff(22222,plain,
% 9.09/6.68 (![B: $i] : ((~less_3(B)) | (v121(constB151, B) <=> v124(constB151, B)))),
% 9.09/6.68 inference(unit_resolution,[status(thm)],[22221, 9945, 22183])).
% 9.09/6.68 tff(22223,plain,
% 9.09/6.68 (((~![B: $i] : ((~less_3(B)) | (v121(constB151, B) <=> v124(constB151, B)))) | ((~less_3(bitIndex2)) | (v121(constB151, bitIndex2) <=> v124(constB151, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB151, B) <=> v124(constB151, B)))) | (~less_3(bitIndex2)) | (v121(constB151, bitIndex2) <=> v124(constB151, bitIndex2)))),
% 9.09/6.68 inference(rewrite,[status(thm)],[])).
% 9.09/6.68 tff(22224,plain,
% 9.09/6.68 ((~![B: $i] : ((~less_3(B)) | (v121(constB151, B) <=> v124(constB151, B)))) | ((~less_3(bitIndex2)) | (v121(constB151, bitIndex2) <=> v124(constB151, bitIndex2)))),
% 9.09/6.68 inference(quant_inst,[status(thm)],[])).
% 9.09/6.68 tff(22225,plain,
% 9.09/6.68 ((~![B: $i] : ((~less_3(B)) | (v121(constB151, B) <=> v124(constB151, B)))) | (~less_3(bitIndex2)) | (v121(constB151, bitIndex2) <=> v124(constB151, bitIndex2))),
% 9.09/6.68 inference(modus_ponens,[status(thm)],[22224, 22223])).
% 9.09/6.68 tff(22226,plain,
% 9.09/6.68 (v121(constB151, bitIndex2) <=> v124(constB151, bitIndex2)),
% 9.09/6.68 inference(unit_resolution,[status(thm)],[22225, 832, 22222])).
% 9.09/6.68 tff(22227,plain,
% 9.09/6.68 (((~![VarCurr: $i] : ((~v116(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b100(B))))) | ((~v116(constB151)) | ![B: $i] : ((~less_3(B)) | (v124(constB151, B) <=> b100(B))))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b100(B))))) | (~v116(constB151)) | ![B: $i] : ((~less_3(B)) | (v124(constB151, B) <=> b100(B))))),
% 9.09/6.68 inference(rewrite,[status(thm)],[])).
% 9.09/6.68 tff(22228,plain,
% 9.09/6.68 ((~![VarCurr: $i] : ((~v116(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b100(B))))) | ((~v116(constB151)) | ![B: $i] : ((~less_3(B)) | (v124(constB151, B) <=> b100(B))))),
% 9.09/6.68 inference(quant_inst,[status(thm)],[])).
% 9.09/6.68 tff(22229,plain,
% 9.09/6.68 ((~![VarCurr: $i] : ((~v116(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b100(B))))) | (~v116(constB151)) | ![B: $i] : ((~less_3(B)) | (v124(constB151, B) <=> b100(B)))),
% 9.09/6.68 inference(modus_ponens,[status(thm)],[22228, 22227])).
% 9.09/6.68 tff(22230,plain,
% 9.09/6.68 ((~v116(constB151)) | ![B: $i] : ((~less_3(B)) | (v124(constB151, B) <=> b100(B)))),
% 9.09/6.68 inference(unit_resolution,[status(thm)],[22229, 10505])).
% 9.09/6.68 tff(22231,plain,
% 9.09/6.68 (![B: $i] : ((~less_3(B)) | (v124(constB151, B) <=> b100(B)))),
% 9.09/6.68 inference(unit_resolution,[status(thm)],[22230, 22158])).
% 9.09/6.69 tff(22232,plain,
% 9.09/6.69 (((~![B: $i] : ((~less_3(B)) | (v124(constB151, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v124(constB151, bitIndex2) <=> b100(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB151, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v124(constB151, bitIndex2) <=> b100(bitIndex2)))),
% 9.09/6.69 inference(rewrite,[status(thm)],[])).
% 9.09/6.69 tff(22233,plain,
% 9.09/6.69 ((~![B: $i] : ((~less_3(B)) | (v124(constB151, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v124(constB151, bitIndex2) <=> b100(bitIndex2)))),
% 9.09/6.69 inference(quant_inst,[status(thm)],[])).
% 9.09/6.69 tff(22234,plain,
% 9.09/6.69 ((~![B: $i] : ((~less_3(B)) | (v124(constB151, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v124(constB151, bitIndex2) <=> b100(bitIndex2))),
% 9.09/6.69 inference(modus_ponens,[status(thm)],[22233, 22232])).
% 9.09/6.69 tff(22235,plain,
% 9.09/6.69 (v124(constB151, bitIndex2) <=> b100(bitIndex2)),
% 9.09/6.69 inference(unit_resolution,[status(thm)],[22234, 832, 22231])).
% 9.09/6.69 tff(22236,plain,
% 9.09/6.69 ((~(v124(constB151, bitIndex2) <=> b100(bitIndex2))) | v124(constB151, bitIndex2) | (~b100(bitIndex2))),
% 9.09/6.69 inference(tautology,[status(thm)],[])).
% 9.09/6.69 tff(22237,plain,
% 9.09/6.69 ((~(v124(constB151, bitIndex2) <=> b100(bitIndex2))) | v124(constB151, bitIndex2)),
% 9.09/6.69 inference(unit_resolution,[status(thm)],[22236, 10517])).
% 9.09/6.69 tff(22238,plain,
% 9.09/6.69 (v124(constB151, bitIndex2)),
% 9.09/6.69 inference(unit_resolution,[status(thm)],[22237, 22235])).
% 9.09/6.69 tff(22239,plain,
% 9.09/6.69 ((~(v121(constB151, bitIndex2) <=> v124(constB151, bitIndex2))) | v121(constB151, bitIndex2) | (~v124(constB151, bitIndex2))),
% 9.09/6.69 inference(tautology,[status(thm)],[])).
% 9.09/6.69 tff(22240,plain,
% 9.09/6.69 (v121(constB151, bitIndex2)),
% 9.09/6.69 inference(unit_resolution,[status(thm)],[22239, 22238, 22226])).
% 9.09/6.69 tff(22241,plain,
% 9.09/6.69 ((~(v123(constB152, bitIndex2) <=> v121(constB151, bitIndex2))) | v123(constB152, bitIndex2) | (~v121(constB151, bitIndex2))),
% 9.09/6.69 inference(tautology,[status(thm)],[])).
% 9.09/6.69 tff(22242,plain,
% 9.09/6.69 (v123(constB152, bitIndex2)),
% 9.09/6.69 inference(unit_resolution,[status(thm)],[22241, 22240, 22218])).
% 9.09/6.69 tff(22243,plain,
% 9.09/6.69 ((~(v84(constB152, bitIndex2) <=> v123(constB152, bitIndex2))) | v84(constB152, bitIndex2) | (~v123(constB152, bitIndex2))),
% 9.09/6.69 inference(tautology,[status(thm)],[])).
% 9.09/6.69 tff(22244,plain,
% 9.09/6.69 (v84(constB152, bitIndex2)),
% 9.09/6.69 inference(unit_resolution,[status(thm)],[22243, 22242, 22210])).
% 9.09/6.69 tff(22245,plain,
% 9.09/6.69 ((~(v84(constB153, bitIndex2) <=> v84(constB152, bitIndex2))) | v84(constB153, bitIndex2) | (~v84(constB152, bitIndex2))),
% 9.09/6.69 inference(tautology,[status(thm)],[])).
% 9.09/6.69 tff(22246,plain,
% 9.09/6.69 (v84(constB153, bitIndex2)),
% 9.09/6.69 inference(unit_resolution,[status(thm)],[22245, 22244, 2824])).
% 9.09/6.69 tff(22247,plain,
% 9.09/6.69 (((~![B: $i] : ((~less_3(B)) | (v84(constB153, B) <=> v84(constB152, B)))) | ((~less_3(bitIndex0)) | (v84(constB153, bitIndex0) <=> v84(constB152, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB153, B) <=> v84(constB152, B)))) | (~less_3(bitIndex0)) | (v84(constB153, bitIndex0) <=> v84(constB152, bitIndex0)))),
% 9.09/6.69 inference(rewrite,[status(thm)],[])).
% 9.09/6.69 tff(22248,plain,
% 9.09/6.69 ((~![B: $i] : ((~less_3(B)) | (v84(constB153, B) <=> v84(constB152, B)))) | ((~less_3(bitIndex0)) | (v84(constB153, bitIndex0) <=> v84(constB152, bitIndex0)))),
% 9.09/6.69 inference(quant_inst,[status(thm)],[])).
% 9.09/6.69 tff(22249,plain,
% 9.09/6.69 ((~![B: $i] : ((~less_3(B)) | (v84(constB153, B) <=> v84(constB152, B)))) | (~less_3(bitIndex0)) | (v84(constB153, bitIndex0) <=> v84(constB152, bitIndex0))),
% 9.09/6.69 inference(modus_ponens,[status(thm)],[22248, 22247])).
% 9.09/6.69 tff(22250,plain,
% 9.09/6.69 (v84(constB153, bitIndex0) <=> v84(constB152, bitIndex0)),
% 9.09/6.69 inference(unit_resolution,[status(thm)],[22249, 9772, 2820])).
% 9.09/6.69 tff(22251,plain,
% 9.09/6.69 (((~![B: $i] : ((~less_3(B)) | (v84(constB152, B) <=> v123(constB152, B)))) | ((~less_3(bitIndex0)) | (v84(constB152, bitIndex0) <=> v123(constB152, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB152, B) <=> v123(constB152, B)))) | (~less_3(bitIndex0)) | (v84(constB152, bitIndex0) <=> v123(constB152, bitIndex0)))),
% 9.09/6.69 inference(rewrite,[status(thm)],[])).
% 9.09/6.69 tff(22252,plain,
% 9.09/6.69 ((~![B: $i] : ((~less_3(B)) | (v84(constB152, B) <=> v123(constB152, B)))) | ((~less_3(bitIndex0)) | (v84(constB152, bitIndex0) <=> v123(constB152, bitIndex0)))),
% 9.09/6.69 inference(quant_inst,[status(thm)],[])).
% 9.09/6.69 tff(22253,plain,
% 9.09/6.69 ((~![B: $i] : ((~less_3(B)) | (v84(constB152, B) <=> v123(constB152, B)))) | (~less_3(bitIndex0)) | (v84(constB152, bitIndex0) <=> v123(constB152, bitIndex0))),
% 9.09/6.69 inference(modus_ponens,[status(thm)],[22252, 22251])).
% 9.09/6.69 tff(22254,plain,
% 9.09/6.69 (v84(constB152, bitIndex0) <=> v123(constB152, bitIndex0)),
% 9.09/6.69 inference(unit_resolution,[status(thm)],[22253, 9772, 22206])).
% 9.09/6.69 tff(22255,plain,
% 9.09/6.69 (((~![B: $i] : ((~less_3(B)) | (v123(constB152, B) <=> v121(constB151, B)))) | ((~less_3(bitIndex0)) | (v123(constB152, bitIndex0) <=> v121(constB151, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB152, B) <=> v121(constB151, B)))) | (~less_3(bitIndex0)) | (v123(constB152, bitIndex0) <=> v121(constB151, bitIndex0)))),
% 9.09/6.69 inference(rewrite,[status(thm)],[])).
% 9.09/6.69 tff(22256,plain,
% 9.09/6.69 ((~![B: $i] : ((~less_3(B)) | (v123(constB152, B) <=> v121(constB151, B)))) | ((~less_3(bitIndex0)) | (v123(constB152, bitIndex0) <=> v121(constB151, bitIndex0)))),
% 9.09/6.69 inference(quant_inst,[status(thm)],[])).
% 9.09/6.69 tff(22257,plain,
% 9.09/6.69 ((~![B: $i] : ((~less_3(B)) | (v123(constB152, B) <=> v121(constB151, B)))) | (~less_3(bitIndex0)) | (v123(constB152, bitIndex0) <=> v121(constB151, bitIndex0))),
% 9.09/6.69 inference(modus_ponens,[status(thm)],[22256, 22255])).
% 9.09/6.69 tff(22258,plain,
% 9.09/6.69 (v123(constB152, bitIndex0) <=> v121(constB151, bitIndex0)),
% 9.09/6.69 inference(unit_resolution,[status(thm)],[22257, 9772, 22214])).
% 9.09/6.69 tff(22259,plain,
% 9.09/6.69 (((~![B: $i] : ((~less_3(B)) | (v121(constB151, B) <=> v124(constB151, B)))) | ((~less_3(bitIndex0)) | (v121(constB151, bitIndex0) <=> v124(constB151, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB151, B) <=> v124(constB151, B)))) | (~less_3(bitIndex0)) | (v121(constB151, bitIndex0) <=> v124(constB151, bitIndex0)))),
% 9.09/6.69 inference(rewrite,[status(thm)],[])).
% 9.09/6.69 tff(22260,plain,
% 9.09/6.69 ((~![B: $i] : ((~less_3(B)) | (v121(constB151, B) <=> v124(constB151, B)))) | ((~less_3(bitIndex0)) | (v121(constB151, bitIndex0) <=> v124(constB151, bitIndex0)))),
% 9.09/6.69 inference(quant_inst,[status(thm)],[])).
% 9.09/6.69 tff(22261,plain,
% 9.09/6.69 ((~![B: $i] : ((~less_3(B)) | (v121(constB151, B) <=> v124(constB151, B)))) | (~less_3(bitIndex0)) | (v121(constB151, bitIndex0) <=> v124(constB151, bitIndex0))),
% 9.09/6.69 inference(modus_ponens,[status(thm)],[22260, 22259])).
% 9.09/6.69 tff(22262,plain,
% 9.09/6.69 (v121(constB151, bitIndex0) <=> v124(constB151, bitIndex0)),
% 9.09/6.69 inference(unit_resolution,[status(thm)],[22261, 9772, 22222])).
% 9.09/6.69 tff(22263,plain,
% 9.09/6.69 (((~![B: $i] : ((~less_3(B)) | (v124(constB151, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v124(constB151, bitIndex0) <=> b100(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB151, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v124(constB151, bitIndex0) <=> b100(bitIndex0)))),
% 9.09/6.69 inference(rewrite,[status(thm)],[])).
% 9.09/6.69 tff(22264,plain,
% 9.09/6.69 ((~![B: $i] : ((~less_3(B)) | (v124(constB151, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v124(constB151, bitIndex0) <=> b100(bitIndex0)))),
% 9.09/6.69 inference(quant_inst,[status(thm)],[])).
% 9.09/6.69 tff(22265,plain,
% 9.09/6.69 ((~![B: $i] : ((~less_3(B)) | (v124(constB151, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v124(constB151, bitIndex0) <=> b100(bitIndex0))),
% 9.09/6.69 inference(modus_ponens,[status(thm)],[22264, 22263])).
% 9.09/6.69 tff(22266,plain,
% 9.09/6.69 (v124(constB151, bitIndex0) <=> b100(bitIndex0)),
% 9.09/6.69 inference(unit_resolution,[status(thm)],[22265, 9772, 22231])).
% 9.09/6.69 tff(22267,plain,
% 9.09/6.69 ((~(v124(constB151, bitIndex0) <=> b100(bitIndex0))) | (~v124(constB151, bitIndex0)) | b100(bitIndex0)),
% 9.09/6.69 inference(tautology,[status(thm)],[])).
% 9.09/6.69 tff(22268,plain,
% 9.09/6.69 ((~(v124(constB151, bitIndex0) <=> b100(bitIndex0))) | (~v124(constB151, bitIndex0))),
% 9.09/6.69 inference(unit_resolution,[status(thm)],[22267, 10551])).
% 9.09/6.69 tff(22269,plain,
% 9.09/6.69 (~v124(constB151, bitIndex0)),
% 9.09/6.69 inference(unit_resolution,[status(thm)],[22268, 22266])).
% 9.09/6.69 tff(22270,plain,
% 9.09/6.69 ((~(v121(constB151, bitIndex0) <=> v124(constB151, bitIndex0))) | (~v121(constB151, bitIndex0)) | v124(constB151, bitIndex0)),
% 9.09/6.69 inference(tautology,[status(thm)],[])).
% 9.09/6.69 tff(22271,plain,
% 9.09/6.69 (~v121(constB151, bitIndex0)),
% 9.09/6.69 inference(unit_resolution,[status(thm)],[22270, 22269, 22262])).
% 9.09/6.69 tff(22272,plain,
% 9.09/6.69 ((~(v123(constB152, bitIndex0) <=> v121(constB151, bitIndex0))) | (~v123(constB152, bitIndex0)) | v121(constB151, bitIndex0)),
% 9.09/6.69 inference(tautology,[status(thm)],[])).
% 9.09/6.69 tff(22273,plain,
% 9.09/6.69 (~v123(constB152, bitIndex0)),
% 9.09/6.69 inference(unit_resolution,[status(thm)],[22272, 22271, 22258])).
% 9.09/6.69 tff(22274,plain,
% 9.09/6.69 ((~(v84(constB152, bitIndex0) <=> v123(constB152, bitIndex0))) | (~v84(constB152, bitIndex0)) | v123(constB152, bitIndex0)),
% 9.09/6.69 inference(tautology,[status(thm)],[])).
% 9.09/6.69 tff(22275,plain,
% 9.09/6.69 (~v84(constB152, bitIndex0)),
% 9.09/6.69 inference(unit_resolution,[status(thm)],[22274, 22273, 22254])).
% 9.09/6.69 tff(22276,plain,
% 9.09/6.69 ((~(v84(constB153, bitIndex0) <=> v84(constB152, bitIndex0))) | (~v84(constB153, bitIndex0)) | v84(constB152, bitIndex0)),
% 9.09/6.69 inference(tautology,[status(thm)],[])).
% 9.09/6.69 tff(22277,plain,
% 9.09/6.69 (~v84(constB153, bitIndex0)),
% 9.09/6.69 inference(unit_resolution,[status(thm)],[22276, 22275, 22250])).
% 9.09/6.69 tff(22278,plain,
% 9.09/6.69 (((~![B: $i] : ((~less_3(B)) | (v84(constB153, B) <=> v84(constB152, B)))) | ((~less_3(bitIndex1)) | (v84(constB153, bitIndex1) <=> v84(constB152, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB153, B) <=> v84(constB152, B)))) | (~less_3(bitIndex1)) | (v84(constB153, bitIndex1) <=> v84(constB152, bitIndex1)))),
% 9.09/6.69 inference(rewrite,[status(thm)],[])).
% 9.09/6.69 tff(22279,plain,
% 9.09/6.69 ((~![B: $i] : ((~less_3(B)) | (v84(constB153, B) <=> v84(constB152, B)))) | ((~less_3(bitIndex1)) | (v84(constB153, bitIndex1) <=> v84(constB152, bitIndex1)))),
% 9.09/6.69 inference(quant_inst,[status(thm)],[])).
% 9.09/6.69 tff(22280,plain,
% 9.09/6.69 ((~![B: $i] : ((~less_3(B)) | (v84(constB153, B) <=> v84(constB152, B)))) | (~less_3(bitIndex1)) | (v84(constB153, bitIndex1) <=> v84(constB152, bitIndex1))),
% 9.09/6.69 inference(modus_ponens,[status(thm)],[22279, 22278])).
% 9.09/6.69 tff(22281,plain,
% 9.09/6.69 (v84(constB153, bitIndex1) <=> v84(constB152, bitIndex1)),
% 9.09/6.69 inference(unit_resolution,[status(thm)],[22280, 9785, 2820])).
% 9.09/6.69 tff(22282,plain,
% 9.09/6.69 (((~![B: $i] : ((~less_3(B)) | (v84(constB152, B) <=> v123(constB152, B)))) | ((~less_3(bitIndex1)) | (v84(constB152, bitIndex1) <=> v123(constB152, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB152, B) <=> v123(constB152, B)))) | (~less_3(bitIndex1)) | (v84(constB152, bitIndex1) <=> v123(constB152, bitIndex1)))),
% 9.09/6.69 inference(rewrite,[status(thm)],[])).
% 9.09/6.69 tff(22283,plain,
% 9.09/6.69 ((~![B: $i] : ((~less_3(B)) | (v84(constB152, B) <=> v123(constB152, B)))) | ((~less_3(bitIndex1)) | (v84(constB152, bitIndex1) <=> v123(constB152, bitIndex1)))),
% 9.09/6.69 inference(quant_inst,[status(thm)],[])).
% 9.09/6.69 tff(22284,plain,
% 9.09/6.69 ((~![B: $i] : ((~less_3(B)) | (v84(constB152, B) <=> v123(constB152, B)))) | (~less_3(bitIndex1)) | (v84(constB152, bitIndex1) <=> v123(constB152, bitIndex1))),
% 9.09/6.69 inference(modus_ponens,[status(thm)],[22283, 22282])).
% 9.09/6.69 tff(22285,plain,
% 9.09/6.69 (v84(constB152, bitIndex1) <=> v123(constB152, bitIndex1)),
% 9.09/6.69 inference(unit_resolution,[status(thm)],[22284, 9785, 22206])).
% 9.09/6.69 tff(22286,plain,
% 9.09/6.69 (((~![B: $i] : ((~less_3(B)) | (v123(constB152, B) <=> v121(constB151, B)))) | ((~less_3(bitIndex1)) | (v123(constB152, bitIndex1) <=> v121(constB151, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB152, B) <=> v121(constB151, B)))) | (~less_3(bitIndex1)) | (v123(constB152, bitIndex1) <=> v121(constB151, bitIndex1)))),
% 9.09/6.69 inference(rewrite,[status(thm)],[])).
% 9.09/6.69 tff(22287,plain,
% 9.09/6.69 ((~![B: $i] : ((~less_3(B)) | (v123(constB152, B) <=> v121(constB151, B)))) | ((~less_3(bitIndex1)) | (v123(constB152, bitIndex1) <=> v121(constB151, bitIndex1)))),
% 9.09/6.69 inference(quant_inst,[status(thm)],[])).
% 9.09/6.69 tff(22288,plain,
% 9.09/6.69 ((~![B: $i] : ((~less_3(B)) | (v123(constB152, B) <=> v121(constB151, B)))) | (~less_3(bitIndex1)) | (v123(constB152, bitIndex1) <=> v121(constB151, bitIndex1))),
% 9.09/6.69 inference(modus_ponens,[status(thm)],[22287, 22286])).
% 9.09/6.69 tff(22289,plain,
% 9.09/6.69 (v123(constB152, bitIndex1) <=> v121(constB151, bitIndex1)),
% 9.09/6.69 inference(unit_resolution,[status(thm)],[22288, 9785, 22214])).
% 9.09/6.69 tff(22290,plain,
% 9.09/6.69 (((~![B: $i] : ((~less_3(B)) | (v121(constB151, B) <=> v124(constB151, B)))) | ((~less_3(bitIndex1)) | (v121(constB151, bitIndex1) <=> v124(constB151, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB151, B) <=> v124(constB151, B)))) | (~less_3(bitIndex1)) | (v121(constB151, bitIndex1) <=> v124(constB151, bitIndex1)))),
% 9.09/6.69 inference(rewrite,[status(thm)],[])).
% 9.09/6.69 tff(22291,plain,
% 9.09/6.69 ((~![B: $i] : ((~less_3(B)) | (v121(constB151, B) <=> v124(constB151, B)))) | ((~less_3(bitIndex1)) | (v121(constB151, bitIndex1) <=> v124(constB151, bitIndex1)))),
% 9.09/6.69 inference(quant_inst,[status(thm)],[])).
% 9.09/6.69 tff(22292,plain,
% 9.09/6.69 ((~![B: $i] : ((~less_3(B)) | (v121(constB151, B) <=> v124(constB151, B)))) | (~less_3(bitIndex1)) | (v121(constB151, bitIndex1) <=> v124(constB151, bitIndex1))),
% 9.09/6.69 inference(modus_ponens,[status(thm)],[22291, 22290])).
% 9.09/6.69 tff(22293,plain,
% 9.09/6.69 (v121(constB151, bitIndex1) <=> v124(constB151, bitIndex1)),
% 9.09/6.69 inference(unit_resolution,[status(thm)],[22292, 9785, 22222])).
% 9.09/6.69 tff(22294,plain,
% 9.09/6.69 (((~![B: $i] : ((~less_3(B)) | (v124(constB151, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v124(constB151, bitIndex1) <=> b100(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB151, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v124(constB151, bitIndex1) <=> b100(bitIndex1)))),
% 9.09/6.69 inference(rewrite,[status(thm)],[])).
% 9.09/6.69 tff(22295,plain,
% 9.09/6.69 ((~![B: $i] : ((~less_3(B)) | (v124(constB151, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v124(constB151, bitIndex1) <=> b100(bitIndex1)))),
% 9.09/6.69 inference(quant_inst,[status(thm)],[])).
% 9.09/6.69 tff(22296,plain,
% 9.09/6.69 ((~![B: $i] : ((~less_3(B)) | (v124(constB151, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v124(constB151, bitIndex1) <=> b100(bitIndex1))),
% 9.09/6.69 inference(modus_ponens,[status(thm)],[22295, 22294])).
% 9.09/6.69 tff(22297,plain,
% 9.09/6.69 (v124(constB151, bitIndex1) <=> b100(bitIndex1)),
% 9.09/6.69 inference(unit_resolution,[status(thm)],[22296, 9785, 22231])).
% 9.09/6.69 tff(22298,plain,
% 9.09/6.69 ((~(v124(constB151, bitIndex1) <=> b100(bitIndex1))) | (~v124(constB151, bitIndex1)) | b100(bitIndex1)),
% 9.09/6.69 inference(tautology,[status(thm)],[])).
% 9.09/6.69 tff(22299,plain,
% 9.09/6.69 ((~(v124(constB151, bitIndex1) <=> b100(bitIndex1))) | (~v124(constB151, bitIndex1))),
% 9.09/6.69 inference(unit_resolution,[status(thm)],[22298, 10585])).
% 9.09/6.69 tff(22300,plain,
% 9.09/6.69 (~v124(constB151, bitIndex1)),
% 9.09/6.69 inference(unit_resolution,[status(thm)],[22299, 22297])).
% 9.09/6.69 tff(22301,plain,
% 9.09/6.69 ((~(v121(constB151, bitIndex1) <=> v124(constB151, bitIndex1))) | (~v121(constB151, bitIndex1)) | v124(constB151, bitIndex1)),
% 9.09/6.69 inference(tautology,[status(thm)],[])).
% 9.09/6.69 tff(22302,plain,
% 9.09/6.69 (~v121(constB151, bitIndex1)),
% 9.09/6.69 inference(unit_resolution,[status(thm)],[22301, 22300, 22293])).
% 9.09/6.69 tff(22303,plain,
% 9.09/6.69 ((~(v123(constB152, bitIndex1) <=> v121(constB151, bitIndex1))) | (~v123(constB152, bitIndex1)) | v121(constB151, bitIndex1)),
% 9.09/6.69 inference(tautology,[status(thm)],[])).
% 9.09/6.69 tff(22304,plain,
% 9.09/6.69 (~v123(constB152, bitIndex1)),
% 9.09/6.69 inference(unit_resolution,[status(thm)],[22303, 22302, 22289])).
% 9.09/6.69 tff(22305,plain,
% 9.09/6.69 ((~(v84(constB152, bitIndex1) <=> v123(constB152, bitIndex1))) | (~v84(constB152, bitIndex1)) | v123(constB152, bitIndex1)),
% 9.09/6.69 inference(tautology,[status(thm)],[])).
% 9.09/6.69 tff(22306,plain,
% 9.09/6.69 (~v84(constB152, bitIndex1)),
% 9.09/6.69 inference(unit_resolution,[status(thm)],[22305, 22304, 22285])).
% 9.09/6.69 tff(22307,plain,
% 9.09/6.69 ((~(v84(constB153, bitIndex1) <=> v84(constB152, bitIndex1))) | (~v84(constB153, bitIndex1)) | v84(constB152, bitIndex1)),
% 9.09/6.69 inference(tautology,[status(thm)],[])).
% 9.09/6.69 tff(22308,plain,
% 9.09/6.69 (~v84(constB153, bitIndex1)),
% 9.09/6.69 inference(unit_resolution,[status(thm)],[22307, 22306, 22281])).
% 9.09/6.69 tff(22309,plain,
% 9.09/6.69 ((~((~v84(constB153, bitIndex2)) | v84(constB153, bitIndex1) | v84(constB153, bitIndex0))) | (~v84(constB153, bitIndex2)) | v84(constB153, bitIndex1) | v84(constB153, bitIndex0)),
% 9.09/6.69 inference(tautology,[status(thm)],[])).
% 9.09/6.69 tff(22310,plain,
% 9.09/6.69 (~((~v84(constB153, bitIndex2)) | v84(constB153, bitIndex1) | v84(constB153, bitIndex0))),
% 9.09/6.69 inference(unit_resolution,[status(thm)],[22309, 22308, 22277, 22246])).
% 9.09/6.69 tff(22311,plain,
% 9.09/6.69 ((~(v117(constB153) <=> (~((~v84(constB153, bitIndex2)) | v84(constB153, bitIndex1) | v84(constB153, bitIndex0))))) | v117(constB153) | ((~v84(constB153, bitIndex2)) | v84(constB153, bitIndex1) | v84(constB153, bitIndex0))),
% 9.09/6.69 inference(tautology,[status(thm)],[])).
% 9.09/6.69 tff(22312,plain,
% 9.09/6.69 (v117(constB153)),
% 9.09/6.69 inference(unit_resolution,[status(thm)],[22311, 22310, 2792])).
% 9.09/6.69 tff(22313,plain,
% 9.09/6.69 ((v110(constB153) | v117(constB153)) | (~v117(constB153))),
% 9.09/6.69 inference(tautology,[status(thm)],[])).
% 9.09/6.69 tff(22314,plain,
% 9.09/6.69 (v110(constB153) | v117(constB153)),
% 9.09/6.69 inference(unit_resolution,[status(thm)],[22313, 22312])).
% 9.09/6.69 tff(22315,plain,
% 9.09/6.69 ((~(v109(constB153) <=> (v110(constB153) | v117(constB153)))) | v109(constB153) | (~(v110(constB153) | v117(constB153)))),
% 9.09/6.69 inference(tautology,[status(thm)],[])).
% 9.09/6.69 tff(22316,plain,
% 9.09/6.69 (v109(constB153)),
% 9.09/6.69 inference(unit_resolution,[status(thm)],[22315, 22314, 2785])).
% 9.09/6.69 tff(22317,plain,
% 9.09/6.69 ((v109(constB153) | v118(constB153)) | (~v109(constB153))),
% 9.09/6.69 inference(tautology,[status(thm)],[])).
% 9.09/6.69 tff(22318,plain,
% 9.09/6.69 (v109(constB153) | v118(constB153)),
% 9.09/6.69 inference(unit_resolution,[status(thm)],[22317, 22316])).
% 9.09/6.69 tff(22319,plain,
% 9.09/6.69 ((~(v108(constB153) <=> (v109(constB153) | v118(constB153)))) | v108(constB153) | (~(v109(constB153) | v118(constB153)))),
% 9.09/6.69 inference(tautology,[status(thm)],[])).
% 9.09/6.69 tff(22320,plain,
% 9.09/6.69 (v108(constB153)),
% 9.09/6.69 inference(unit_resolution,[status(thm)],[22319, 22318, 2783])).
% 9.09/6.69 tff(22321,plain,
% 9.09/6.69 ((v108(constB153) | v119(constB153)) | (~v108(constB153))),
% 9.09/6.69 inference(tautology,[status(thm)],[])).
% 9.09/6.69 tff(22322,plain,
% 9.09/6.69 (v108(constB153) | v119(constB153)),
% 9.09/6.69 inference(unit_resolution,[status(thm)],[22321, 22320])).
% 9.09/6.69 tff(22323,plain,
% 9.09/6.69 ((~(v107(constB153) <=> (v108(constB153) | v119(constB153)))) | v107(constB153) | (~(v108(constB153) | v119(constB153)))),
% 9.09/6.69 inference(tautology,[status(thm)],[])).
% 9.09/6.69 tff(22324,plain,
% 9.09/6.69 (v107(constB153)),
% 9.09/6.69 inference(unit_resolution,[status(thm)],[22323, 22322, 2781])).
% 9.09/6.69 tff(22325,plain,
% 9.09/6.69 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB153)) <=> v105(constB153))),
% 9.09/6.69 inference(quant_inst,[status(thm)],[])).
% 9.09/6.69 tff(22326,plain,
% 9.09/6.69 ((~v120(constB153)) <=> v105(constB153)),
% 9.09/6.69 inference(unit_resolution,[status(thm)],[22325, 9842])).
% 9.09/6.69 tff(22327,plain,
% 9.09/6.69 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB153) <=> v26(constB153))),
% 9.09/6.69 inference(quant_inst,[status(thm)],[])).
% 9.09/6.69 tff(22328,plain,
% 9.09/6.69 (v105(constB153) <=> v26(constB153)),
% 9.09/6.69 inference(unit_resolution,[status(thm)],[22327, 9854])).
% 9.09/6.69 tff(22329,plain,
% 9.09/6.69 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB153))),
% 9.09/6.69 inference(quant_inst,[status(thm)],[])).
% 9.09/6.69 tff(22330,plain,
% 9.09/6.69 (~v26(constB153)),
% 9.09/6.69 inference(unit_resolution,[status(thm)],[22329, 9866])).
% 9.09/6.69 tff(22331,plain,
% 9.09/6.69 ((~(v105(constB153) <=> v26(constB153))) | (~v105(constB153)) | v26(constB153)),
% 9.09/6.69 inference(tautology,[status(thm)],[])).
% 9.09/6.69 tff(22332,plain,
% 9.09/6.69 ((~(v105(constB153) <=> v26(constB153))) | (~v105(constB153))),
% 9.09/6.69 inference(unit_resolution,[status(thm)],[22331, 22330])).
% 9.09/6.69 tff(22333,plain,
% 9.09/6.69 (~v105(constB153)),
% 9.09/6.69 inference(unit_resolution,[status(thm)],[22332, 22328])).
% 9.09/6.69 tff(22334,plain,
% 9.09/6.69 ((~((~v120(constB153)) <=> v105(constB153))) | v120(constB153) | v105(constB153)),
% 9.09/6.69 inference(tautology,[status(thm)],[])).
% 9.09/6.69 tff(22335,plain,
% 9.09/6.69 ((~((~v120(constB153)) <=> v105(constB153))) | v120(constB153)),
% 9.09/6.69 inference(unit_resolution,[status(thm)],[22334, 22333])).
% 9.09/6.69 tff(22336,plain,
% 9.09/6.69 (v120(constB153)),
% 9.09/6.69 inference(unit_resolution,[status(thm)],[22335, 22326])).
% 9.09/6.69 tff(22337,plain,
% 9.09/6.69 ((~((~v107(constB153)) | (~v120(constB153)))) | (~v107(constB153)) | (~v120(constB153))),
% 9.09/6.69 inference(tautology,[status(thm)],[])).
% 9.09/6.69 tff(22338,plain,
% 9.09/6.69 ((~((~v107(constB153)) | (~v120(constB153)))) | (~v107(constB153))),
% 9.09/6.69 inference(unit_resolution,[status(thm)],[22337, 22336])).
% 9.09/6.69 tff(22339,plain,
% 9.09/6.69 (~((~v107(constB153)) | (~v120(constB153)))),
% 9.09/6.69 inference(unit_resolution,[status(thm)],[22338, 22324])).
% 9.09/6.69 tff(22340,plain,
% 9.09/6.69 ((~(v106(constB153) <=> (~((~v107(constB153)) | (~v120(constB153)))))) | v106(constB153) | ((~v107(constB153)) | (~v120(constB153)))),
% 9.09/6.69 inference(tautology,[status(thm)],[])).
% 9.09/6.69 tff(22341,plain,
% 9.09/6.69 (v106(constB153)),
% 9.09/6.69 inference(unit_resolution,[status(thm)],[22340, 22339, 2779])).
% 9.09/6.69 tff(22342,plain,
% 9.09/6.69 ((v105(constB153) | v106(constB153)) | (~v106(constB153))),
% 9.09/6.69 inference(tautology,[status(thm)],[])).
% 9.09/6.69 tff(22343,plain,
% 9.09/6.69 (v105(constB153) | v106(constB153)),
% 9.09/6.69 inference(unit_resolution,[status(thm)],[22342, 22341])).
% 9.09/6.69 tff(22344,plain,
% 9.09/6.69 ((~(v102(constB153) <=> (v105(constB153) | v106(constB153)))) | v102(constB153) | (~(v105(constB153) | v106(constB153)))),
% 9.09/6.69 inference(tautology,[status(thm)],[])).
% 9.09/6.69 tff(22345,plain,
% 9.09/6.69 (v102(constB153)),
% 9.09/6.69 inference(unit_resolution,[status(thm)],[22344, 22343, 2777])).
% 9.09/6.69 tff(22346,plain,
% 9.09/6.69 ((~(v104(constB154) <=> v102(constB153))) | v104(constB154) | (~v102(constB153))),
% 9.09/6.69 inference(tautology,[status(thm)],[])).
% 9.09/6.69 tff(22347,plain,
% 9.09/6.69 (v104(constB154)),
% 9.09/6.69 inference(unit_resolution,[status(thm)],[22346, 22345, 2775])).
% 9.09/6.69 tff(22348,plain,
% 9.09/6.69 ((~((~v104(constB154)) | (~v95(constB154)))) | (~v104(constB154)) | (~v95(constB154))),
% 9.09/6.69 inference(tautology,[status(thm)],[])).
% 9.09/6.69 tff(22349,plain,
% 9.09/6.69 (~((~v104(constB154)) | (~v95(constB154)))),
% 9.09/6.69 inference(unit_resolution,[status(thm)],[22348, 22347, 2771])).
% 9.09/6.69 tff(22350,plain,
% 9.09/6.69 ((~(v94(constB154) <=> (~((~v104(constB154)) | (~v95(constB154)))))) | v94(constB154) | ((~v104(constB154)) | (~v95(constB154)))),
% 9.09/6.69 inference(tautology,[status(thm)],[])).
% 9.09/6.69 tff(22351,plain,
% 9.09/6.69 (v94(constB154)),
% 9.09/6.69 inference(unit_resolution,[status(thm)],[22350, 22349, 2740])).
% 9.09/6.69 tff(22352,plain,
% 9.09/6.69 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB154)) | ![B: $i] : ((~less_3(B)) | (v84(constB154, B) <=> v123(constB154, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB154)) | ![B: $i] : ((~less_3(B)) | (v84(constB154, B) <=> v123(constB154, B))))),
% 9.09/6.69 inference(rewrite,[status(thm)],[])).
% 9.09/6.69 tff(22353,plain,
% 9.09/6.69 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB154)) | ![B: $i] : ((~less_3(B)) | (v84(constB154, B) <=> v123(constB154, B))))),
% 9.09/6.69 inference(quant_inst,[status(thm)],[])).
% 9.09/6.69 tff(22354,plain,
% 9.09/6.69 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB154)) | ![B: $i] : ((~less_3(B)) | (v84(constB154, B) <=> v123(constB154, B)))),
% 9.09/6.69 inference(modus_ponens,[status(thm)],[22353, 22352])).
% 9.09/6.69 tff(22355,plain,
% 9.09/6.69 ((~v94(constB154)) | ![B: $i] : ((~less_3(B)) | (v84(constB154, B) <=> v123(constB154, B)))),
% 9.09/6.69 inference(unit_resolution,[status(thm)],[22354, 9902])).
% 9.09/6.69 tff(22356,plain,
% 9.09/6.69 (![B: $i] : ((~less_3(B)) | (v84(constB154, B) <=> v123(constB154, B)))),
% 9.09/6.69 inference(unit_resolution,[status(thm)],[22355, 22351])).
% 9.09/6.69 tff(22357,plain,
% 9.09/6.69 (((~![B: $i] : ((~less_3(B)) | (v84(constB154, B) <=> v123(constB154, B)))) | ((~less_3(bitIndex2)) | (v84(constB154, bitIndex2) <=> v123(constB154, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB154, B) <=> v123(constB154, B)))) | (~less_3(bitIndex2)) | (v84(constB154, bitIndex2) <=> v123(constB154, bitIndex2)))),
% 9.09/6.69 inference(rewrite,[status(thm)],[])).
% 9.09/6.69 tff(22358,plain,
% 9.09/6.69 ((~![B: $i] : ((~less_3(B)) | (v84(constB154, B) <=> v123(constB154, B)))) | ((~less_3(bitIndex2)) | (v84(constB154, bitIndex2) <=> v123(constB154, bitIndex2)))),
% 9.09/6.69 inference(quant_inst,[status(thm)],[])).
% 9.09/6.69 tff(22359,plain,
% 9.09/6.69 ((~![B: $i] : ((~less_3(B)) | (v84(constB154, B) <=> v123(constB154, B)))) | (~less_3(bitIndex2)) | (v84(constB154, bitIndex2) <=> v123(constB154, bitIndex2))),
% 9.09/6.69 inference(modus_ponens,[status(thm)],[22358, 22357])).
% 9.09/6.69 tff(22360,plain,
% 9.09/6.69 (v84(constB154, bitIndex2) <=> v123(constB154, bitIndex2)),
% 9.09/6.69 inference(unit_resolution,[status(thm)],[22359, 832, 22356])).
% 9.09/6.69 tff(22361,plain,
% 9.09/6.69 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB153, constB154)) | ![B: $i] : ((~less_3(B)) | (v123(constB154, B) <=> v121(constB153, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB153, constB154)) | ![B: $i] : ((~less_3(B)) | (v123(constB154, B) <=> v121(constB153, B))))),
% 9.09/6.69 inference(rewrite,[status(thm)],[])).
% 9.09/6.69 tff(22362,plain,
% 9.09/6.69 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB153, constB154)) | ![B: $i] : ((~less_3(B)) | (v123(constB154, B) <=> v121(constB153, B))))),
% 9.09/6.69 inference(quant_inst,[status(thm)],[])).
% 9.09/6.69 tff(22363,plain,
% 9.09/6.69 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB153, constB154)) | ![B: $i] : ((~less_3(B)) | (v123(constB154, B) <=> v121(constB153, B)))),
% 9.09/6.69 inference(modus_ponens,[status(thm)],[22362, 22361])).
% 9.09/6.69 tff(22364,plain,
% 9.09/6.69 (![B: $i] : ((~less_3(B)) | (v123(constB154, B) <=> v121(constB153, B)))),
% 9.09/6.69 inference(unit_resolution,[status(thm)],[22363, 2736, 9924])).
% 9.09/6.69 tff(22365,plain,
% 9.09/6.69 (((~![B: $i] : ((~less_3(B)) | (v123(constB154, B) <=> v121(constB153, B)))) | ((~less_3(bitIndex2)) | (v123(constB154, bitIndex2) <=> v121(constB153, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB154, B) <=> v121(constB153, B)))) | (~less_3(bitIndex2)) | (v123(constB154, bitIndex2) <=> v121(constB153, bitIndex2)))),
% 9.09/6.69 inference(rewrite,[status(thm)],[])).
% 9.09/6.69 tff(22366,plain,
% 9.09/6.69 ((~![B: $i] : ((~less_3(B)) | (v123(constB154, B) <=> v121(constB153, B)))) | ((~less_3(bitIndex2)) | (v123(constB154, bitIndex2) <=> v121(constB153, bitIndex2)))),
% 9.09/6.69 inference(quant_inst,[status(thm)],[])).
% 9.09/6.69 tff(22367,plain,
% 9.09/6.69 ((~![B: $i] : ((~less_3(B)) | (v123(constB154, B) <=> v121(constB153, B)))) | (~less_3(bitIndex2)) | (v123(constB154, bitIndex2) <=> v121(constB153, bitIndex2))),
% 9.09/6.69 inference(modus_ponens,[status(thm)],[22366, 22365])).
% 9.09/6.69 tff(22368,plain,
% 9.09/6.69 (v123(constB154, bitIndex2) <=> v121(constB153, bitIndex2)),
% 9.09/6.69 inference(unit_resolution,[status(thm)],[22367, 832, 22364])).
% 9.09/6.69 tff(22369,plain,
% 9.09/6.69 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB153) | ![B: $i] : ((~less_3(B)) | (v121(constB153, B) <=> v124(constB153, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB153) | ![B: $i] : ((~less_3(B)) | (v121(constB153, B) <=> v124(constB153, B))))),
% 9.09/6.69 inference(rewrite,[status(thm)],[])).
% 9.09/6.69 tff(22370,plain,
% 9.09/6.69 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB153) | ![B: $i] : ((~less_3(B)) | (v121(constB153, B) <=> v124(constB153, B))))),
% 9.09/6.69 inference(quant_inst,[status(thm)],[])).
% 9.09/6.69 tff(22371,plain,
% 9.09/6.69 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB153) | ![B: $i] : ((~less_3(B)) | (v121(constB153, B) <=> v124(constB153, B)))),
% 9.09/6.69 inference(modus_ponens,[status(thm)],[22370, 22369])).
% 9.09/6.69 tff(22372,plain,
% 9.09/6.69 (![B: $i] : ((~less_3(B)) | (v121(constB153, B) <=> v124(constB153, B)))),
% 9.09/6.69 inference(unit_resolution,[status(thm)],[22371, 9945, 22333])).
% 9.09/6.69 tff(22373,plain,
% 9.09/6.69 (((~![B: $i] : ((~less_3(B)) | (v121(constB153, B) <=> v124(constB153, B)))) | ((~less_3(bitIndex2)) | (v121(constB153, bitIndex2) <=> v124(constB153, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB153, B) <=> v124(constB153, B)))) | (~less_3(bitIndex2)) | (v121(constB153, bitIndex2) <=> v124(constB153, bitIndex2)))),
% 9.09/6.69 inference(rewrite,[status(thm)],[])).
% 9.09/6.69 tff(22374,plain,
% 9.09/6.69 ((~![B: $i] : ((~less_3(B)) | (v121(constB153, B) <=> v124(constB153, B)))) | ((~less_3(bitIndex2)) | (v121(constB153, bitIndex2) <=> v124(constB153, bitIndex2)))),
% 9.09/6.69 inference(quant_inst,[status(thm)],[])).
% 9.09/6.69 tff(22375,plain,
% 9.09/6.69 ((~![B: $i] : ((~less_3(B)) | (v121(constB153, B) <=> v124(constB153, B)))) | (~less_3(bitIndex2)) | (v121(constB153, bitIndex2) <=> v124(constB153, bitIndex2))),
% 9.09/6.69 inference(modus_ponens,[status(thm)],[22374, 22373])).
% 9.09/6.69 tff(22376,plain,
% 9.09/6.69 (v121(constB153, bitIndex2) <=> v124(constB153, bitIndex2)),
% 9.09/6.69 inference(unit_resolution,[status(thm)],[22375, 832, 22372])).
% 9.09/6.69 tff(22377,plain,
% 9.09/6.69 (((~![VarCurr: $i] : ((~v117(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b101(B))))) | ((~v117(constB153)) | ![B: $i] : ((~less_3(B)) | (v124(constB153, B) <=> b101(B))))) <=> ((~![VarCurr: $i] : ((~v117(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b101(B))))) | (~v117(constB153)) | ![B: $i] : ((~less_3(B)) | (v124(constB153, B) <=> b101(B))))),
% 9.09/6.69 inference(rewrite,[status(thm)],[])).
% 9.09/6.69 tff(22378,plain,
% 9.09/6.69 ((~![VarCurr: $i] : ((~v117(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b101(B))))) | ((~v117(constB153)) | ![B: $i] : ((~less_3(B)) | (v124(constB153, B) <=> b101(B))))),
% 9.09/6.69 inference(quant_inst,[status(thm)],[])).
% 9.09/6.69 tff(22379,plain,
% 9.09/6.69 ((~![VarCurr: $i] : ((~v117(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b101(B))))) | (~v117(constB153)) | ![B: $i] : ((~less_3(B)) | (v124(constB153, B) <=> b101(B)))),
% 9.09/6.69 inference(modus_ponens,[status(thm)],[22378, 22377])).
% 9.09/6.69 tff(22380,plain,
% 9.09/6.69 ((~v117(constB153)) | ![B: $i] : ((~less_3(B)) | (v124(constB153, B) <=> b101(B)))),
% 9.09/6.69 inference(unit_resolution,[status(thm)],[22379, 10677])).
% 9.09/6.69 tff(22381,plain,
% 9.09/6.69 (![B: $i] : ((~less_3(B)) | (v124(constB153, B) <=> b101(B)))),
% 9.09/6.69 inference(unit_resolution,[status(thm)],[22380, 22312])).
% 9.09/6.69 tff(22382,plain,
% 9.09/6.69 (((~![B: $i] : ((~less_3(B)) | (v124(constB153, B) <=> b101(B)))) | ((~less_3(bitIndex2)) | (v124(constB153, bitIndex2) <=> b101(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB153, B) <=> b101(B)))) | (~less_3(bitIndex2)) | (v124(constB153, bitIndex2) <=> b101(bitIndex2)))),
% 9.09/6.69 inference(rewrite,[status(thm)],[])).
% 9.09/6.69 tff(22383,plain,
% 9.09/6.69 ((~![B: $i] : ((~less_3(B)) | (v124(constB153, B) <=> b101(B)))) | ((~less_3(bitIndex2)) | (v124(constB153, bitIndex2) <=> b101(bitIndex2)))),
% 9.09/6.69 inference(quant_inst,[status(thm)],[])).
% 9.09/6.69 tff(22384,plain,
% 9.09/6.69 ((~![B: $i] : ((~less_3(B)) | (v124(constB153, B) <=> b101(B)))) | (~less_3(bitIndex2)) | (v124(constB153, bitIndex2) <=> b101(bitIndex2))),
% 9.09/6.69 inference(modus_ponens,[status(thm)],[22383, 22382])).
% 9.09/6.69 tff(22385,plain,
% 9.09/6.69 (v124(constB153, bitIndex2) <=> b101(bitIndex2)),
% 9.09/6.69 inference(unit_resolution,[status(thm)],[22384, 832, 22381])).
% 9.09/6.69 tff(22386,plain,
% 9.09/6.69 ((~(v124(constB153, bitIndex2) <=> b101(bitIndex2))) | v124(constB153, bitIndex2) | (~b101(bitIndex2))),
% 9.09/6.69 inference(tautology,[status(thm)],[])).
% 9.09/6.69 tff(22387,plain,
% 9.09/6.69 ((~(v124(constB153, bitIndex2) <=> b101(bitIndex2))) | v124(constB153, bitIndex2)),
% 9.09/6.69 inference(unit_resolution,[status(thm)],[22386, 10689])).
% 9.09/6.69 tff(22388,plain,
% 9.09/6.69 (v124(constB153, bitIndex2)),
% 9.09/6.69 inference(unit_resolution,[status(thm)],[22387, 22385])).
% 9.09/6.69 tff(22389,plain,
% 9.09/6.69 ((~(v121(constB153, bitIndex2) <=> v124(constB153, bitIndex2))) | v121(constB153, bitIndex2) | (~v124(constB153, bitIndex2))),
% 9.09/6.69 inference(tautology,[status(thm)],[])).
% 9.09/6.69 tff(22390,plain,
% 9.09/6.69 (v121(constB153, bitIndex2)),
% 9.09/6.69 inference(unit_resolution,[status(thm)],[22389, 22388, 22376])).
% 9.09/6.69 tff(22391,plain,
% 9.09/6.69 ((~(v123(constB154, bitIndex2) <=> v121(constB153, bitIndex2))) | v123(constB154, bitIndex2) | (~v121(constB153, bitIndex2))),
% 9.09/6.69 inference(tautology,[status(thm)],[])).
% 9.09/6.69 tff(22392,plain,
% 9.09/6.69 (v123(constB154, bitIndex2)),
% 9.09/6.69 inference(unit_resolution,[status(thm)],[22391, 22390, 22368])).
% 9.09/6.69 tff(22393,plain,
% 9.09/6.69 ((~(v84(constB154, bitIndex2) <=> v123(constB154, bitIndex2))) | v84(constB154, bitIndex2) | (~v123(constB154, bitIndex2))),
% 9.09/6.69 inference(tautology,[status(thm)],[])).
% 9.09/6.69 tff(22394,plain,
% 9.09/6.69 (v84(constB154, bitIndex2)),
% 9.09/6.69 inference(unit_resolution,[status(thm)],[22393, 22392, 22360])).
% 9.09/6.69 tff(22395,plain,
% 9.09/6.69 ((~(v84(constB155, bitIndex2) <=> v84(constB154, bitIndex2))) | v84(constB155, bitIndex2) | (~v84(constB154, bitIndex2))),
% 9.18/6.70 inference(tautology,[status(thm)],[])).
% 9.18/6.70 tff(22396,plain,
% 9.18/6.70 (v84(constB155, bitIndex2)),
% 9.18/6.70 inference(unit_resolution,[status(thm)],[22395, 22394, 2733])).
% 9.18/6.70 tff(22397,plain,
% 9.18/6.70 (((~![B: $i] : ((~less_3(B)) | (v84(constB155, B) <=> v84(constB154, B)))) | ((~less_3(bitIndex0)) | (v84(constB155, bitIndex0) <=> v84(constB154, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB155, B) <=> v84(constB154, B)))) | (~less_3(bitIndex0)) | (v84(constB155, bitIndex0) <=> v84(constB154, bitIndex0)))),
% 9.18/6.70 inference(rewrite,[status(thm)],[])).
% 9.18/6.70 tff(22398,plain,
% 9.18/6.70 ((~![B: $i] : ((~less_3(B)) | (v84(constB155, B) <=> v84(constB154, B)))) | ((~less_3(bitIndex0)) | (v84(constB155, bitIndex0) <=> v84(constB154, bitIndex0)))),
% 9.18/6.70 inference(quant_inst,[status(thm)],[])).
% 9.18/6.70 tff(22399,plain,
% 9.18/6.70 ((~![B: $i] : ((~less_3(B)) | (v84(constB155, B) <=> v84(constB154, B)))) | (~less_3(bitIndex0)) | (v84(constB155, bitIndex0) <=> v84(constB154, bitIndex0))),
% 9.18/6.70 inference(modus_ponens,[status(thm)],[22398, 22397])).
% 9.18/6.70 tff(22400,plain,
% 9.18/6.70 (v84(constB155, bitIndex0) <=> v84(constB154, bitIndex0)),
% 9.18/6.70 inference(unit_resolution,[status(thm)],[22399, 9772, 2729])).
% 9.18/6.70 tff(22401,plain,
% 9.18/6.70 (((~![B: $i] : ((~less_3(B)) | (v84(constB154, B) <=> v123(constB154, B)))) | ((~less_3(bitIndex0)) | (v84(constB154, bitIndex0) <=> v123(constB154, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB154, B) <=> v123(constB154, B)))) | (~less_3(bitIndex0)) | (v84(constB154, bitIndex0) <=> v123(constB154, bitIndex0)))),
% 9.18/6.70 inference(rewrite,[status(thm)],[])).
% 9.18/6.70 tff(22402,plain,
% 9.18/6.70 ((~![B: $i] : ((~less_3(B)) | (v84(constB154, B) <=> v123(constB154, B)))) | ((~less_3(bitIndex0)) | (v84(constB154, bitIndex0) <=> v123(constB154, bitIndex0)))),
% 9.18/6.70 inference(quant_inst,[status(thm)],[])).
% 9.18/6.70 tff(22403,plain,
% 9.18/6.70 ((~![B: $i] : ((~less_3(B)) | (v84(constB154, B) <=> v123(constB154, B)))) | (~less_3(bitIndex0)) | (v84(constB154, bitIndex0) <=> v123(constB154, bitIndex0))),
% 9.18/6.70 inference(modus_ponens,[status(thm)],[22402, 22401])).
% 9.18/6.70 tff(22404,plain,
% 9.18/6.70 (v84(constB154, bitIndex0) <=> v123(constB154, bitIndex0)),
% 9.18/6.70 inference(unit_resolution,[status(thm)],[22403, 9772, 22356])).
% 9.18/6.70 tff(22405,plain,
% 9.18/6.70 (((~![B: $i] : ((~less_3(B)) | (v123(constB154, B) <=> v121(constB153, B)))) | ((~less_3(bitIndex0)) | (v123(constB154, bitIndex0) <=> v121(constB153, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB154, B) <=> v121(constB153, B)))) | (~less_3(bitIndex0)) | (v123(constB154, bitIndex0) <=> v121(constB153, bitIndex0)))),
% 9.18/6.70 inference(rewrite,[status(thm)],[])).
% 9.18/6.70 tff(22406,plain,
% 9.18/6.70 ((~![B: $i] : ((~less_3(B)) | (v123(constB154, B) <=> v121(constB153, B)))) | ((~less_3(bitIndex0)) | (v123(constB154, bitIndex0) <=> v121(constB153, bitIndex0)))),
% 9.18/6.70 inference(quant_inst,[status(thm)],[])).
% 9.18/6.70 tff(22407,plain,
% 9.18/6.70 ((~![B: $i] : ((~less_3(B)) | (v123(constB154, B) <=> v121(constB153, B)))) | (~less_3(bitIndex0)) | (v123(constB154, bitIndex0) <=> v121(constB153, bitIndex0))),
% 9.18/6.70 inference(modus_ponens,[status(thm)],[22406, 22405])).
% 9.18/6.70 tff(22408,plain,
% 9.18/6.70 (v123(constB154, bitIndex0) <=> v121(constB153, bitIndex0)),
% 9.18/6.70 inference(unit_resolution,[status(thm)],[22407, 9772, 22364])).
% 9.18/6.70 tff(22409,plain,
% 9.18/6.70 (((~![B: $i] : ((~less_3(B)) | (v121(constB153, B) <=> v124(constB153, B)))) | ((~less_3(bitIndex0)) | (v121(constB153, bitIndex0) <=> v124(constB153, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB153, B) <=> v124(constB153, B)))) | (~less_3(bitIndex0)) | (v121(constB153, bitIndex0) <=> v124(constB153, bitIndex0)))),
% 9.18/6.70 inference(rewrite,[status(thm)],[])).
% 9.18/6.70 tff(22410,plain,
% 9.18/6.70 ((~![B: $i] : ((~less_3(B)) | (v121(constB153, B) <=> v124(constB153, B)))) | ((~less_3(bitIndex0)) | (v121(constB153, bitIndex0) <=> v124(constB153, bitIndex0)))),
% 9.18/6.70 inference(quant_inst,[status(thm)],[])).
% 9.18/6.70 tff(22411,plain,
% 9.18/6.70 ((~![B: $i] : ((~less_3(B)) | (v121(constB153, B) <=> v124(constB153, B)))) | (~less_3(bitIndex0)) | (v121(constB153, bitIndex0) <=> v124(constB153, bitIndex0))),
% 9.18/6.70 inference(modus_ponens,[status(thm)],[22410, 22409])).
% 9.18/6.70 tff(22412,plain,
% 9.18/6.70 (v121(constB153, bitIndex0) <=> v124(constB153, bitIndex0)),
% 9.18/6.70 inference(unit_resolution,[status(thm)],[22411, 9772, 22372])).
% 9.18/6.70 tff(22413,plain,
% 9.18/6.70 (((~![B: $i] : ((~less_3(B)) | (v124(constB153, B) <=> b101(B)))) | ((~less_3(bitIndex0)) | (v124(constB153, bitIndex0) <=> b101(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB153, B) <=> b101(B)))) | (~less_3(bitIndex0)) | (v124(constB153, bitIndex0) <=> b101(bitIndex0)))),
% 9.18/6.70 inference(rewrite,[status(thm)],[])).
% 9.18/6.70 tff(22414,plain,
% 9.18/6.70 ((~![B: $i] : ((~less_3(B)) | (v124(constB153, B) <=> b101(B)))) | ((~less_3(bitIndex0)) | (v124(constB153, bitIndex0) <=> b101(bitIndex0)))),
% 9.18/6.70 inference(quant_inst,[status(thm)],[])).
% 9.18/6.70 tff(22415,plain,
% 9.18/6.70 ((~![B: $i] : ((~less_3(B)) | (v124(constB153, B) <=> b101(B)))) | (~less_3(bitIndex0)) | (v124(constB153, bitIndex0) <=> b101(bitIndex0))),
% 9.18/6.70 inference(modus_ponens,[status(thm)],[22414, 22413])).
% 9.18/6.70 tff(22416,plain,
% 9.18/6.70 (v124(constB153, bitIndex0) <=> b101(bitIndex0)),
% 9.18/6.70 inference(unit_resolution,[status(thm)],[22415, 9772, 22381])).
% 9.18/6.70 tff(22417,plain,
% 9.18/6.70 ((~(v124(constB153, bitIndex0) <=> b101(bitIndex0))) | v124(constB153, bitIndex0) | (~b101(bitIndex0))),
% 9.18/6.70 inference(tautology,[status(thm)],[])).
% 9.18/6.70 tff(22418,plain,
% 9.18/6.70 ((~(v124(constB153, bitIndex0) <=> b101(bitIndex0))) | v124(constB153, bitIndex0)),
% 9.18/6.70 inference(unit_resolution,[status(thm)],[22417, 10723])).
% 9.18/6.70 tff(22419,plain,
% 9.18/6.70 (v124(constB153, bitIndex0)),
% 9.18/6.70 inference(unit_resolution,[status(thm)],[22418, 22416])).
% 9.18/6.70 tff(22420,plain,
% 9.18/6.70 ((~(v121(constB153, bitIndex0) <=> v124(constB153, bitIndex0))) | v121(constB153, bitIndex0) | (~v124(constB153, bitIndex0))),
% 9.18/6.70 inference(tautology,[status(thm)],[])).
% 9.18/6.70 tff(22421,plain,
% 9.18/6.70 (v121(constB153, bitIndex0)),
% 9.18/6.70 inference(unit_resolution,[status(thm)],[22420, 22419, 22412])).
% 9.18/6.70 tff(22422,plain,
% 9.18/6.70 ((~(v123(constB154, bitIndex0) <=> v121(constB153, bitIndex0))) | v123(constB154, bitIndex0) | (~v121(constB153, bitIndex0))),
% 9.18/6.70 inference(tautology,[status(thm)],[])).
% 9.18/6.70 tff(22423,plain,
% 9.18/6.70 (v123(constB154, bitIndex0)),
% 9.18/6.70 inference(unit_resolution,[status(thm)],[22422, 22421, 22408])).
% 9.18/6.70 tff(22424,plain,
% 9.18/6.70 ((~(v84(constB154, bitIndex0) <=> v123(constB154, bitIndex0))) | v84(constB154, bitIndex0) | (~v123(constB154, bitIndex0))),
% 9.18/6.70 inference(tautology,[status(thm)],[])).
% 9.18/6.70 tff(22425,plain,
% 9.18/6.70 (v84(constB154, bitIndex0)),
% 9.18/6.70 inference(unit_resolution,[status(thm)],[22424, 22423, 22404])).
% 9.18/6.70 tff(22426,plain,
% 9.18/6.70 ((~(v84(constB155, bitIndex0) <=> v84(constB154, bitIndex0))) | v84(constB155, bitIndex0) | (~v84(constB154, bitIndex0))),
% 9.18/6.70 inference(tautology,[status(thm)],[])).
% 9.18/6.70 tff(22427,plain,
% 9.18/6.70 (v84(constB155, bitIndex0)),
% 9.18/6.70 inference(unit_resolution,[status(thm)],[22426, 22425, 22400])).
% 9.18/6.70 tff(22428,plain,
% 9.18/6.70 (((~![B: $i] : ((~less_3(B)) | (v84(constB155, B) <=> v84(constB154, B)))) | ((~less_3(bitIndex1)) | (v84(constB155, bitIndex1) <=> v84(constB154, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB155, B) <=> v84(constB154, B)))) | (~less_3(bitIndex1)) | (v84(constB155, bitIndex1) <=> v84(constB154, bitIndex1)))),
% 9.18/6.70 inference(rewrite,[status(thm)],[])).
% 9.18/6.70 tff(22429,plain,
% 9.18/6.70 ((~![B: $i] : ((~less_3(B)) | (v84(constB155, B) <=> v84(constB154, B)))) | ((~less_3(bitIndex1)) | (v84(constB155, bitIndex1) <=> v84(constB154, bitIndex1)))),
% 9.18/6.70 inference(quant_inst,[status(thm)],[])).
% 9.18/6.70 tff(22430,plain,
% 9.18/6.70 ((~![B: $i] : ((~less_3(B)) | (v84(constB155, B) <=> v84(constB154, B)))) | (~less_3(bitIndex1)) | (v84(constB155, bitIndex1) <=> v84(constB154, bitIndex1))),
% 9.18/6.70 inference(modus_ponens,[status(thm)],[22429, 22428])).
% 9.18/6.70 tff(22431,plain,
% 9.18/6.70 (v84(constB155, bitIndex1) <=> v84(constB154, bitIndex1)),
% 9.18/6.70 inference(unit_resolution,[status(thm)],[22430, 9785, 2729])).
% 9.18/6.70 tff(22432,plain,
% 9.18/6.70 (((~![B: $i] : ((~less_3(B)) | (v84(constB154, B) <=> v123(constB154, B)))) | ((~less_3(bitIndex1)) | (v84(constB154, bitIndex1) <=> v123(constB154, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB154, B) <=> v123(constB154, B)))) | (~less_3(bitIndex1)) | (v84(constB154, bitIndex1) <=> v123(constB154, bitIndex1)))),
% 9.18/6.70 inference(rewrite,[status(thm)],[])).
% 9.18/6.70 tff(22433,plain,
% 9.18/6.70 ((~![B: $i] : ((~less_3(B)) | (v84(constB154, B) <=> v123(constB154, B)))) | ((~less_3(bitIndex1)) | (v84(constB154, bitIndex1) <=> v123(constB154, bitIndex1)))),
% 9.18/6.70 inference(quant_inst,[status(thm)],[])).
% 9.18/6.70 tff(22434,plain,
% 9.18/6.70 ((~![B: $i] : ((~less_3(B)) | (v84(constB154, B) <=> v123(constB154, B)))) | (~less_3(bitIndex1)) | (v84(constB154, bitIndex1) <=> v123(constB154, bitIndex1))),
% 9.18/6.70 inference(modus_ponens,[status(thm)],[22433, 22432])).
% 9.18/6.70 tff(22435,plain,
% 9.18/6.70 (v84(constB154, bitIndex1) <=> v123(constB154, bitIndex1)),
% 9.18/6.70 inference(unit_resolution,[status(thm)],[22434, 9785, 22356])).
% 9.18/6.70 tff(22436,plain,
% 9.18/6.70 (((~![B: $i] : ((~less_3(B)) | (v123(constB154, B) <=> v121(constB153, B)))) | ((~less_3(bitIndex1)) | (v123(constB154, bitIndex1) <=> v121(constB153, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB154, B) <=> v121(constB153, B)))) | (~less_3(bitIndex1)) | (v123(constB154, bitIndex1) <=> v121(constB153, bitIndex1)))),
% 9.18/6.70 inference(rewrite,[status(thm)],[])).
% 9.18/6.70 tff(22437,plain,
% 9.18/6.70 ((~![B: $i] : ((~less_3(B)) | (v123(constB154, B) <=> v121(constB153, B)))) | ((~less_3(bitIndex1)) | (v123(constB154, bitIndex1) <=> v121(constB153, bitIndex1)))),
% 9.18/6.70 inference(quant_inst,[status(thm)],[])).
% 9.18/6.70 tff(22438,plain,
% 9.18/6.70 ((~![B: $i] : ((~less_3(B)) | (v123(constB154, B) <=> v121(constB153, B)))) | (~less_3(bitIndex1)) | (v123(constB154, bitIndex1) <=> v121(constB153, bitIndex1))),
% 9.18/6.70 inference(modus_ponens,[status(thm)],[22437, 22436])).
% 9.18/6.70 tff(22439,plain,
% 9.18/6.70 (v123(constB154, bitIndex1) <=> v121(constB153, bitIndex1)),
% 9.18/6.70 inference(unit_resolution,[status(thm)],[22438, 9785, 22364])).
% 9.18/6.70 tff(22440,plain,
% 9.18/6.70 (((~![B: $i] : ((~less_3(B)) | (v121(constB153, B) <=> v124(constB153, B)))) | ((~less_3(bitIndex1)) | (v121(constB153, bitIndex1) <=> v124(constB153, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB153, B) <=> v124(constB153, B)))) | (~less_3(bitIndex1)) | (v121(constB153, bitIndex1) <=> v124(constB153, bitIndex1)))),
% 9.18/6.70 inference(rewrite,[status(thm)],[])).
% 9.18/6.70 tff(22441,plain,
% 9.18/6.70 ((~![B: $i] : ((~less_3(B)) | (v121(constB153, B) <=> v124(constB153, B)))) | ((~less_3(bitIndex1)) | (v121(constB153, bitIndex1) <=> v124(constB153, bitIndex1)))),
% 9.18/6.70 inference(quant_inst,[status(thm)],[])).
% 9.18/6.70 tff(22442,plain,
% 9.18/6.70 ((~![B: $i] : ((~less_3(B)) | (v121(constB153, B) <=> v124(constB153, B)))) | (~less_3(bitIndex1)) | (v121(constB153, bitIndex1) <=> v124(constB153, bitIndex1))),
% 9.18/6.70 inference(modus_ponens,[status(thm)],[22441, 22440])).
% 9.18/6.70 tff(22443,plain,
% 9.18/6.70 (v121(constB153, bitIndex1) <=> v124(constB153, bitIndex1)),
% 9.18/6.70 inference(unit_resolution,[status(thm)],[22442, 9785, 22372])).
% 9.18/6.70 tff(22444,plain,
% 9.18/6.70 (((~![B: $i] : ((~less_3(B)) | (v124(constB153, B) <=> b101(B)))) | ((~less_3(bitIndex1)) | (v124(constB153, bitIndex1) <=> b101(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB153, B) <=> b101(B)))) | (~less_3(bitIndex1)) | (v124(constB153, bitIndex1) <=> b101(bitIndex1)))),
% 9.18/6.70 inference(rewrite,[status(thm)],[])).
% 9.18/6.70 tff(22445,plain,
% 9.18/6.70 ((~![B: $i] : ((~less_3(B)) | (v124(constB153, B) <=> b101(B)))) | ((~less_3(bitIndex1)) | (v124(constB153, bitIndex1) <=> b101(bitIndex1)))),
% 9.18/6.70 inference(quant_inst,[status(thm)],[])).
% 9.18/6.70 tff(22446,plain,
% 9.18/6.70 ((~![B: $i] : ((~less_3(B)) | (v124(constB153, B) <=> b101(B)))) | (~less_3(bitIndex1)) | (v124(constB153, bitIndex1) <=> b101(bitIndex1))),
% 9.18/6.70 inference(modus_ponens,[status(thm)],[22445, 22444])).
% 9.18/6.70 tff(22447,plain,
% 9.18/6.70 (v124(constB153, bitIndex1) <=> b101(bitIndex1)),
% 9.18/6.70 inference(unit_resolution,[status(thm)],[22446, 9785, 22381])).
% 9.18/6.70 tff(22448,plain,
% 9.18/6.70 ((~(v124(constB153, bitIndex1) <=> b101(bitIndex1))) | (~v124(constB153, bitIndex1)) | b101(bitIndex1)),
% 9.18/6.70 inference(tautology,[status(thm)],[])).
% 9.18/6.70 tff(22449,plain,
% 9.18/6.70 ((~(v124(constB153, bitIndex1) <=> b101(bitIndex1))) | (~v124(constB153, bitIndex1))),
% 9.18/6.70 inference(unit_resolution,[status(thm)],[22448, 10757])).
% 9.18/6.70 tff(22450,plain,
% 9.18/6.70 (~v124(constB153, bitIndex1)),
% 9.18/6.70 inference(unit_resolution,[status(thm)],[22449, 22447])).
% 9.18/6.70 tff(22451,plain,
% 9.18/6.70 ((~(v121(constB153, bitIndex1) <=> v124(constB153, bitIndex1))) | (~v121(constB153, bitIndex1)) | v124(constB153, bitIndex1)),
% 9.18/6.70 inference(tautology,[status(thm)],[])).
% 9.18/6.70 tff(22452,plain,
% 9.18/6.70 (~v121(constB153, bitIndex1)),
% 9.18/6.70 inference(unit_resolution,[status(thm)],[22451, 22450, 22443])).
% 9.18/6.70 tff(22453,plain,
% 9.18/6.70 ((~(v123(constB154, bitIndex1) <=> v121(constB153, bitIndex1))) | (~v123(constB154, bitIndex1)) | v121(constB153, bitIndex1)),
% 9.18/6.70 inference(tautology,[status(thm)],[])).
% 9.18/6.70 tff(22454,plain,
% 9.18/6.70 (~v123(constB154, bitIndex1)),
% 9.18/6.70 inference(unit_resolution,[status(thm)],[22453, 22452, 22439])).
% 9.18/6.70 tff(22455,plain,
% 9.18/6.70 ((~(v84(constB154, bitIndex1) <=> v123(constB154, bitIndex1))) | (~v84(constB154, bitIndex1)) | v123(constB154, bitIndex1)),
% 9.18/6.70 inference(tautology,[status(thm)],[])).
% 9.18/6.70 tff(22456,plain,
% 9.18/6.70 (~v84(constB154, bitIndex1)),
% 9.18/6.70 inference(unit_resolution,[status(thm)],[22455, 22454, 22435])).
% 9.18/6.70 tff(22457,plain,
% 9.18/6.70 ((~(v84(constB155, bitIndex1) <=> v84(constB154, bitIndex1))) | (~v84(constB155, bitIndex1)) | v84(constB154, bitIndex1)),
% 9.18/6.70 inference(tautology,[status(thm)],[])).
% 9.18/6.70 tff(22458,plain,
% 9.18/6.70 (~v84(constB155, bitIndex1)),
% 9.18/6.70 inference(unit_resolution,[status(thm)],[22457, 22456, 22431])).
% 9.18/6.70 tff(22459,plain,
% 9.18/6.70 ((~((~v84(constB155, bitIndex2)) | v84(constB155, bitIndex1) | (~v84(constB155, bitIndex0)))) | (~v84(constB155, bitIndex2)) | v84(constB155, bitIndex1) | (~v84(constB155, bitIndex0))),
% 9.18/6.70 inference(tautology,[status(thm)],[])).
% 9.18/6.70 tff(22460,plain,
% 9.18/6.70 (~((~v84(constB155, bitIndex2)) | v84(constB155, bitIndex1) | (~v84(constB155, bitIndex0)))),
% 9.18/6.70 inference(unit_resolution,[status(thm)],[22459, 22458, 22427, 22396])).
% 9.18/6.70 tff(22461,plain,
% 9.18/6.70 ((~(v118(constB155) <=> (~((~v84(constB155, bitIndex2)) | v84(constB155, bitIndex1) | (~v84(constB155, bitIndex0)))))) | v118(constB155) | ((~v84(constB155, bitIndex2)) | v84(constB155, bitIndex1) | (~v84(constB155, bitIndex0)))),
% 9.18/6.70 inference(tautology,[status(thm)],[])).
% 9.18/6.70 tff(22462,plain,
% 9.18/6.70 (v118(constB155)),
% 9.18/6.70 inference(unit_resolution,[status(thm)],[22461, 22460, 2701])).
% 9.18/6.70 tff(22463,plain,
% 9.18/6.70 ((v109(constB155) | v118(constB155)) | (~v118(constB155))),
% 9.18/6.70 inference(tautology,[status(thm)],[])).
% 9.18/6.70 tff(22464,plain,
% 9.18/6.70 (v109(constB155) | v118(constB155)),
% 9.18/6.70 inference(unit_resolution,[status(thm)],[22463, 22462])).
% 9.18/6.70 tff(22465,plain,
% 9.18/6.70 ((~(v108(constB155) <=> (v109(constB155) | v118(constB155)))) | v108(constB155) | (~(v109(constB155) | v118(constB155)))),
% 9.18/6.70 inference(tautology,[status(thm)],[])).
% 9.18/6.70 tff(22466,plain,
% 9.18/6.70 (v108(constB155)),
% 9.18/6.70 inference(unit_resolution,[status(thm)],[22465, 22464, 2694])).
% 9.18/6.70 tff(22467,plain,
% 9.18/6.70 ((v108(constB155) | v119(constB155)) | (~v108(constB155))),
% 9.18/6.70 inference(tautology,[status(thm)],[])).
% 9.18/6.70 tff(22468,plain,
% 9.18/6.70 (v108(constB155) | v119(constB155)),
% 9.18/6.70 inference(unit_resolution,[status(thm)],[22467, 22466])).
% 9.18/6.70 tff(22469,plain,
% 9.18/6.70 ((~(v107(constB155) <=> (v108(constB155) | v119(constB155)))) | v107(constB155) | (~(v108(constB155) | v119(constB155)))),
% 9.18/6.70 inference(tautology,[status(thm)],[])).
% 9.18/6.70 tff(22470,plain,
% 9.18/6.70 (v107(constB155)),
% 9.18/6.70 inference(unit_resolution,[status(thm)],[22469, 22468, 2692])).
% 9.18/6.70 tff(22471,plain,
% 9.18/6.70 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB155)) <=> v105(constB155))),
% 9.18/6.70 inference(quant_inst,[status(thm)],[])).
% 9.18/6.70 tff(22472,plain,
% 9.18/6.70 ((~v120(constB155)) <=> v105(constB155)),
% 9.18/6.70 inference(unit_resolution,[status(thm)],[22471, 9842])).
% 9.18/6.70 tff(22473,plain,
% 9.18/6.70 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB155) <=> v26(constB155))),
% 9.18/6.70 inference(quant_inst,[status(thm)],[])).
% 9.18/6.70 tff(22474,plain,
% 9.18/6.70 (v105(constB155) <=> v26(constB155)),
% 9.18/6.70 inference(unit_resolution,[status(thm)],[22473, 9854])).
% 9.18/6.70 tff(22475,plain,
% 9.18/6.70 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB155))),
% 9.18/6.70 inference(quant_inst,[status(thm)],[])).
% 9.18/6.70 tff(22476,plain,
% 9.18/6.70 (~v26(constB155)),
% 9.18/6.70 inference(unit_resolution,[status(thm)],[22475, 9866])).
% 9.18/6.70 tff(22477,plain,
% 9.18/6.70 ((~(v105(constB155) <=> v26(constB155))) | (~v105(constB155)) | v26(constB155)),
% 9.18/6.70 inference(tautology,[status(thm)],[])).
% 9.18/6.70 tff(22478,plain,
% 9.18/6.70 ((~(v105(constB155) <=> v26(constB155))) | (~v105(constB155))),
% 9.18/6.70 inference(unit_resolution,[status(thm)],[22477, 22476])).
% 9.18/6.70 tff(22479,plain,
% 9.18/6.70 (~v105(constB155)),
% 9.18/6.70 inference(unit_resolution,[status(thm)],[22478, 22474])).
% 9.18/6.70 tff(22480,plain,
% 9.18/6.70 ((~((~v120(constB155)) <=> v105(constB155))) | v120(constB155) | v105(constB155)),
% 9.18/6.70 inference(tautology,[status(thm)],[])).
% 9.18/6.70 tff(22481,plain,
% 9.18/6.70 ((~((~v120(constB155)) <=> v105(constB155))) | v120(constB155)),
% 9.18/6.70 inference(unit_resolution,[status(thm)],[22480, 22479])).
% 9.18/6.70 tff(22482,plain,
% 9.18/6.70 (v120(constB155)),
% 9.18/6.70 inference(unit_resolution,[status(thm)],[22481, 22472])).
% 9.18/6.70 tff(22483,plain,
% 9.18/6.70 ((~((~v107(constB155)) | (~v120(constB155)))) | (~v107(constB155)) | (~v120(constB155))),
% 9.18/6.70 inference(tautology,[status(thm)],[])).
% 9.18/6.70 tff(22484,plain,
% 9.18/6.70 ((~((~v107(constB155)) | (~v120(constB155)))) | (~v107(constB155))),
% 9.18/6.70 inference(unit_resolution,[status(thm)],[22483, 22482])).
% 9.18/6.70 tff(22485,plain,
% 9.18/6.70 (~((~v107(constB155)) | (~v120(constB155)))),
% 9.18/6.70 inference(unit_resolution,[status(thm)],[22484, 22470])).
% 9.18/6.70 tff(22486,plain,
% 9.18/6.70 ((~(v106(constB155) <=> (~((~v107(constB155)) | (~v120(constB155)))))) | v106(constB155) | ((~v107(constB155)) | (~v120(constB155)))),
% 9.18/6.70 inference(tautology,[status(thm)],[])).
% 9.18/6.70 tff(22487,plain,
% 9.18/6.70 (v106(constB155)),
% 9.18/6.70 inference(unit_resolution,[status(thm)],[22486, 22485, 2690])).
% 9.18/6.70 tff(22488,plain,
% 9.18/6.70 ((v105(constB155) | v106(constB155)) | (~v106(constB155))),
% 9.18/6.70 inference(tautology,[status(thm)],[])).
% 9.18/6.70 tff(22489,plain,
% 9.18/6.70 (v105(constB155) | v106(constB155)),
% 9.18/6.70 inference(unit_resolution,[status(thm)],[22488, 22487])).
% 9.18/6.70 tff(22490,plain,
% 9.18/6.70 ((~(v102(constB155) <=> (v105(constB155) | v106(constB155)))) | v102(constB155) | (~(v105(constB155) | v106(constB155)))),
% 9.18/6.70 inference(tautology,[status(thm)],[])).
% 9.18/6.70 tff(22491,plain,
% 9.18/6.70 (v102(constB155)),
% 9.18/6.70 inference(unit_resolution,[status(thm)],[22490, 22489, 2688])).
% 9.18/6.70 tff(22492,plain,
% 9.18/6.70 ((~(v104(constB156) <=> v102(constB155))) | v104(constB156) | (~v102(constB155))),
% 9.18/6.70 inference(tautology,[status(thm)],[])).
% 9.18/6.70 tff(22493,plain,
% 9.18/6.70 (v104(constB156)),
% 9.18/6.70 inference(unit_resolution,[status(thm)],[22492, 22491, 2686])).
% 9.18/6.70 tff(22494,plain,
% 9.18/6.70 ((~((~v104(constB156)) | (~v95(constB156)))) | (~v104(constB156)) | (~v95(constB156))),
% 9.18/6.70 inference(tautology,[status(thm)],[])).
% 9.18/6.70 tff(22495,plain,
% 9.18/6.70 (~((~v104(constB156)) | (~v95(constB156)))),
% 9.18/6.70 inference(unit_resolution,[status(thm)],[22494, 22493, 2682])).
% 9.18/6.70 tff(22496,plain,
% 9.18/6.70 ((~(v94(constB156) <=> (~((~v104(constB156)) | (~v95(constB156)))))) | v94(constB156) | ((~v104(constB156)) | (~v95(constB156)))),
% 9.18/6.70 inference(tautology,[status(thm)],[])).
% 9.18/6.70 tff(22497,plain,
% 9.18/6.70 (v94(constB156)),
% 9.18/6.70 inference(unit_resolution,[status(thm)],[22496, 22495, 2651])).
% 9.18/6.70 tff(22498,plain,
% 9.18/6.70 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB156)) | ![B: $i] : ((~less_3(B)) | (v84(constB156, B) <=> v123(constB156, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB156)) | ![B: $i] : ((~less_3(B)) | (v84(constB156, B) <=> v123(constB156, B))))),
% 9.18/6.70 inference(rewrite,[status(thm)],[])).
% 9.18/6.70 tff(22499,plain,
% 9.18/6.70 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB156)) | ![B: $i] : ((~less_3(B)) | (v84(constB156, B) <=> v123(constB156, B))))),
% 9.18/6.70 inference(quant_inst,[status(thm)],[])).
% 9.18/6.70 tff(22500,plain,
% 9.18/6.70 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB156)) | ![B: $i] : ((~less_3(B)) | (v84(constB156, B) <=> v123(constB156, B)))),
% 9.18/6.70 inference(modus_ponens,[status(thm)],[22499, 22498])).
% 9.18/6.70 tff(22501,plain,
% 9.18/6.70 ((~v94(constB156)) | ![B: $i] : ((~less_3(B)) | (v84(constB156, B) <=> v123(constB156, B)))),
% 9.18/6.70 inference(unit_resolution,[status(thm)],[22500, 9902])).
% 9.18/6.70 tff(22502,plain,
% 9.18/6.70 (![B: $i] : ((~less_3(B)) | (v84(constB156, B) <=> v123(constB156, B)))),
% 9.18/6.70 inference(unit_resolution,[status(thm)],[22501, 22497])).
% 9.18/6.70 tff(22503,plain,
% 9.18/6.70 (((~![B: $i] : ((~less_3(B)) | (v84(constB156, B) <=> v123(constB156, B)))) | ((~less_3(bitIndex2)) | (v84(constB156, bitIndex2) <=> v123(constB156, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB156, B) <=> v123(constB156, B)))) | (~less_3(bitIndex2)) | (v84(constB156, bitIndex2) <=> v123(constB156, bitIndex2)))),
% 9.18/6.70 inference(rewrite,[status(thm)],[])).
% 9.18/6.70 tff(22504,plain,
% 9.18/6.70 ((~![B: $i] : ((~less_3(B)) | (v84(constB156, B) <=> v123(constB156, B)))) | ((~less_3(bitIndex2)) | (v84(constB156, bitIndex2) <=> v123(constB156, bitIndex2)))),
% 9.18/6.70 inference(quant_inst,[status(thm)],[])).
% 9.18/6.70 tff(22505,plain,
% 9.18/6.70 ((~![B: $i] : ((~less_3(B)) | (v84(constB156, B) <=> v123(constB156, B)))) | (~less_3(bitIndex2)) | (v84(constB156, bitIndex2) <=> v123(constB156, bitIndex2))),
% 9.18/6.70 inference(modus_ponens,[status(thm)],[22504, 22503])).
% 9.18/6.70 tff(22506,plain,
% 9.18/6.70 (v84(constB156, bitIndex2) <=> v123(constB156, bitIndex2)),
% 9.18/6.70 inference(unit_resolution,[status(thm)],[22505, 832, 22502])).
% 9.18/6.70 tff(22507,plain,
% 9.18/6.70 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB155, constB156)) | ![B: $i] : ((~less_3(B)) | (v123(constB156, B) <=> v121(constB155, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB155, constB156)) | ![B: $i] : ((~less_3(B)) | (v123(constB156, B) <=> v121(constB155, B))))),
% 9.18/6.70 inference(rewrite,[status(thm)],[])).
% 9.18/6.70 tff(22508,plain,
% 9.18/6.70 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB155, constB156)) | ![B: $i] : ((~less_3(B)) | (v123(constB156, B) <=> v121(constB155, B))))),
% 9.18/6.70 inference(quant_inst,[status(thm)],[])).
% 9.18/6.70 tff(22509,plain,
% 9.18/6.70 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB155, constB156)) | ![B: $i] : ((~less_3(B)) | (v123(constB156, B) <=> v121(constB155, B)))),
% 9.18/6.70 inference(modus_ponens,[status(thm)],[22508, 22507])).
% 9.18/6.70 tff(22510,plain,
% 9.18/6.70 (![B: $i] : ((~less_3(B)) | (v123(constB156, B) <=> v121(constB155, B)))),
% 9.18/6.70 inference(unit_resolution,[status(thm)],[22509, 2647, 9924])).
% 9.18/6.70 tff(22511,plain,
% 9.18/6.70 (((~![B: $i] : ((~less_3(B)) | (v123(constB156, B) <=> v121(constB155, B)))) | ((~less_3(bitIndex2)) | (v123(constB156, bitIndex2) <=> v121(constB155, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB156, B) <=> v121(constB155, B)))) | (~less_3(bitIndex2)) | (v123(constB156, bitIndex2) <=> v121(constB155, bitIndex2)))),
% 9.18/6.70 inference(rewrite,[status(thm)],[])).
% 9.18/6.70 tff(22512,plain,
% 9.18/6.70 ((~![B: $i] : ((~less_3(B)) | (v123(constB156, B) <=> v121(constB155, B)))) | ((~less_3(bitIndex2)) | (v123(constB156, bitIndex2) <=> v121(constB155, bitIndex2)))),
% 9.18/6.70 inference(quant_inst,[status(thm)],[])).
% 9.18/6.70 tff(22513,plain,
% 9.18/6.70 ((~![B: $i] : ((~less_3(B)) | (v123(constB156, B) <=> v121(constB155, B)))) | (~less_3(bitIndex2)) | (v123(constB156, bitIndex2) <=> v121(constB155, bitIndex2))),
% 9.18/6.70 inference(modus_ponens,[status(thm)],[22512, 22511])).
% 9.18/6.70 tff(22514,plain,
% 9.18/6.70 (v123(constB156, bitIndex2) <=> v121(constB155, bitIndex2)),
% 9.18/6.70 inference(unit_resolution,[status(thm)],[22513, 832, 22510])).
% 9.18/6.70 tff(22515,plain,
% 9.18/6.70 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB155) | ![B: $i] : ((~less_3(B)) | (v121(constB155, B) <=> v124(constB155, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB155) | ![B: $i] : ((~less_3(B)) | (v121(constB155, B) <=> v124(constB155, B))))),
% 9.18/6.70 inference(rewrite,[status(thm)],[])).
% 9.18/6.70 tff(22516,plain,
% 9.18/6.70 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB155) | ![B: $i] : ((~less_3(B)) | (v121(constB155, B) <=> v124(constB155, B))))),
% 9.18/6.70 inference(quant_inst,[status(thm)],[])).
% 9.18/6.70 tff(22517,plain,
% 9.18/6.70 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB155) | ![B: $i] : ((~less_3(B)) | (v121(constB155, B) <=> v124(constB155, B)))),
% 9.18/6.70 inference(modus_ponens,[status(thm)],[22516, 22515])).
% 9.18/6.70 tff(22518,plain,
% 9.18/6.70 (![B: $i] : ((~less_3(B)) | (v121(constB155, B) <=> v124(constB155, B)))),
% 9.18/6.70 inference(unit_resolution,[status(thm)],[22517, 9945, 22479])).
% 9.18/6.70 tff(22519,plain,
% 9.18/6.70 (((~![B: $i] : ((~less_3(B)) | (v121(constB155, B) <=> v124(constB155, B)))) | ((~less_3(bitIndex2)) | (v121(constB155, bitIndex2) <=> v124(constB155, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB155, B) <=> v124(constB155, B)))) | (~less_3(bitIndex2)) | (v121(constB155, bitIndex2) <=> v124(constB155, bitIndex2)))),
% 9.18/6.70 inference(rewrite,[status(thm)],[])).
% 9.18/6.70 tff(22520,plain,
% 9.18/6.70 ((~![B: $i] : ((~less_3(B)) | (v121(constB155, B) <=> v124(constB155, B)))) | ((~less_3(bitIndex2)) | (v121(constB155, bitIndex2) <=> v124(constB155, bitIndex2)))),
% 9.18/6.70 inference(quant_inst,[status(thm)],[])).
% 9.18/6.70 tff(22521,plain,
% 9.18/6.70 ((~![B: $i] : ((~less_3(B)) | (v121(constB155, B) <=> v124(constB155, B)))) | (~less_3(bitIndex2)) | (v121(constB155, bitIndex2) <=> v124(constB155, bitIndex2))),
% 9.18/6.70 inference(modus_ponens,[status(thm)],[22520, 22519])).
% 9.18/6.70 tff(22522,plain,
% 9.18/6.70 (v121(constB155, bitIndex2) <=> v124(constB155, bitIndex2)),
% 9.18/6.70 inference(unit_resolution,[status(thm)],[22521, 832, 22518])).
% 9.18/6.70 tff(22523,plain,
% 9.18/6.70 (((~![VarCurr: $i] : ((~v118(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b110(B))))) | ((~v118(constB155)) | ![B: $i] : ((~less_3(B)) | (v124(constB155, B) <=> b110(B))))) <=> ((~![VarCurr: $i] : ((~v118(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b110(B))))) | (~v118(constB155)) | ![B: $i] : ((~less_3(B)) | (v124(constB155, B) <=> b110(B))))),
% 9.18/6.70 inference(rewrite,[status(thm)],[])).
% 9.18/6.70 tff(22524,plain,
% 9.18/6.70 ((~![VarCurr: $i] : ((~v118(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b110(B))))) | ((~v118(constB155)) | ![B: $i] : ((~less_3(B)) | (v124(constB155, B) <=> b110(B))))),
% 9.18/6.70 inference(quant_inst,[status(thm)],[])).
% 9.18/6.70 tff(22525,plain,
% 9.18/6.70 ((~![VarCurr: $i] : ((~v118(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b110(B))))) | (~v118(constB155)) | ![B: $i] : ((~less_3(B)) | (v124(constB155, B) <=> b110(B)))),
% 9.18/6.70 inference(modus_ponens,[status(thm)],[22524, 22523])).
% 9.18/6.70 tff(22526,plain,
% 9.18/6.70 ((~v118(constB155)) | ![B: $i] : ((~less_3(B)) | (v124(constB155, B) <=> b110(B)))),
% 9.18/6.70 inference(unit_resolution,[status(thm)],[22525, 10845])).
% 9.18/6.70 tff(22527,plain,
% 9.18/6.70 (![B: $i] : ((~less_3(B)) | (v124(constB155, B) <=> b110(B)))),
% 9.18/6.70 inference(unit_resolution,[status(thm)],[22526, 22462])).
% 9.18/6.70 tff(22528,plain,
% 9.18/6.70 (((~![B: $i] : ((~less_3(B)) | (v124(constB155, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v124(constB155, bitIndex2) <=> b110(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB155, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v124(constB155, bitIndex2) <=> b110(bitIndex2)))),
% 9.18/6.70 inference(rewrite,[status(thm)],[])).
% 9.18/6.70 tff(22529,plain,
% 9.18/6.70 ((~![B: $i] : ((~less_3(B)) | (v124(constB155, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v124(constB155, bitIndex2) <=> b110(bitIndex2)))),
% 9.18/6.70 inference(quant_inst,[status(thm)],[])).
% 9.18/6.70 tff(22530,plain,
% 9.18/6.70 ((~![B: $i] : ((~less_3(B)) | (v124(constB155, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v124(constB155, bitIndex2) <=> b110(bitIndex2))),
% 9.18/6.70 inference(modus_ponens,[status(thm)],[22529, 22528])).
% 9.18/6.70 tff(22531,plain,
% 9.18/6.70 (v124(constB155, bitIndex2) <=> b110(bitIndex2)),
% 9.18/6.70 inference(unit_resolution,[status(thm)],[22530, 832, 22527])).
% 9.18/6.70 tff(22532,plain,
% 9.18/6.70 ((~(v124(constB155, bitIndex2) <=> b110(bitIndex2))) | v124(constB155, bitIndex2) | (~b110(bitIndex2))),
% 9.18/6.70 inference(tautology,[status(thm)],[])).
% 9.18/6.70 tff(22533,plain,
% 9.18/6.70 ((~(v124(constB155, bitIndex2) <=> b110(bitIndex2))) | v124(constB155, bitIndex2)),
% 9.18/6.70 inference(unit_resolution,[status(thm)],[22532, 10857])).
% 9.18/6.70 tff(22534,plain,
% 9.18/6.70 (v124(constB155, bitIndex2)),
% 9.18/6.70 inference(unit_resolution,[status(thm)],[22533, 22531])).
% 9.18/6.70 tff(22535,plain,
% 9.18/6.70 ((~(v121(constB155, bitIndex2) <=> v124(constB155, bitIndex2))) | v121(constB155, bitIndex2) | (~v124(constB155, bitIndex2))),
% 9.18/6.70 inference(tautology,[status(thm)],[])).
% 9.18/6.70 tff(22536,plain,
% 9.18/6.70 (v121(constB155, bitIndex2)),
% 9.18/6.70 inference(unit_resolution,[status(thm)],[22535, 22534, 22522])).
% 9.18/6.70 tff(22537,plain,
% 9.18/6.70 ((~(v123(constB156, bitIndex2) <=> v121(constB155, bitIndex2))) | v123(constB156, bitIndex2) | (~v121(constB155, bitIndex2))),
% 9.18/6.70 inference(tautology,[status(thm)],[])).
% 9.18/6.70 tff(22538,plain,
% 9.18/6.70 (v123(constB156, bitIndex2)),
% 9.18/6.70 inference(unit_resolution,[status(thm)],[22537, 22536, 22514])).
% 9.18/6.70 tff(22539,plain,
% 9.18/6.70 ((~(v84(constB156, bitIndex2) <=> v123(constB156, bitIndex2))) | v84(constB156, bitIndex2) | (~v123(constB156, bitIndex2))),
% 9.18/6.70 inference(tautology,[status(thm)],[])).
% 9.18/6.70 tff(22540,plain,
% 9.18/6.70 (v84(constB156, bitIndex2)),
% 9.18/6.70 inference(unit_resolution,[status(thm)],[22539, 22538, 22506])).
% 9.18/6.70 tff(22541,plain,
% 9.18/6.70 ((~(v84(constB157, bitIndex2) <=> v84(constB156, bitIndex2))) | v84(constB157, bitIndex2) | (~v84(constB156, bitIndex2))),
% 9.18/6.70 inference(tautology,[status(thm)],[])).
% 9.18/6.70 tff(22542,plain,
% 9.18/6.70 (v84(constB157, bitIndex2)),
% 9.18/6.70 inference(unit_resolution,[status(thm)],[22541, 22540, 2644])).
% 9.18/6.70 tff(22543,plain,
% 9.18/6.70 (((~![B: $i] : ((~less_3(B)) | (v84(constB157, B) <=> v84(constB156, B)))) | ((~less_3(bitIndex0)) | (v84(constB157, bitIndex0) <=> v84(constB156, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB157, B) <=> v84(constB156, B)))) | (~less_3(bitIndex0)) | (v84(constB157, bitIndex0) <=> v84(constB156, bitIndex0)))),
% 9.18/6.70 inference(rewrite,[status(thm)],[])).
% 9.18/6.70 tff(22544,plain,
% 9.18/6.70 ((~![B: $i] : ((~less_3(B)) | (v84(constB157, B) <=> v84(constB156, B)))) | ((~less_3(bitIndex0)) | (v84(constB157, bitIndex0) <=> v84(constB156, bitIndex0)))),
% 9.18/6.70 inference(quant_inst,[status(thm)],[])).
% 9.18/6.70 tff(22545,plain,
% 9.18/6.70 ((~![B: $i] : ((~less_3(B)) | (v84(constB157, B) <=> v84(constB156, B)))) | (~less_3(bitIndex0)) | (v84(constB157, bitIndex0) <=> v84(constB156, bitIndex0))),
% 9.18/6.70 inference(modus_ponens,[status(thm)],[22544, 22543])).
% 9.18/6.70 tff(22546,plain,
% 9.18/6.70 (v84(constB157, bitIndex0) <=> v84(constB156, bitIndex0)),
% 9.18/6.70 inference(unit_resolution,[status(thm)],[22545, 9772, 2640])).
% 9.18/6.70 tff(22547,plain,
% 9.18/6.70 (((~![B: $i] : ((~less_3(B)) | (v84(constB156, B) <=> v123(constB156, B)))) | ((~less_3(bitIndex0)) | (v84(constB156, bitIndex0) <=> v123(constB156, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB156, B) <=> v123(constB156, B)))) | (~less_3(bitIndex0)) | (v84(constB156, bitIndex0) <=> v123(constB156, bitIndex0)))),
% 9.18/6.70 inference(rewrite,[status(thm)],[])).
% 9.18/6.70 tff(22548,plain,
% 9.18/6.70 ((~![B: $i] : ((~less_3(B)) | (v84(constB156, B) <=> v123(constB156, B)))) | ((~less_3(bitIndex0)) | (v84(constB156, bitIndex0) <=> v123(constB156, bitIndex0)))),
% 9.18/6.70 inference(quant_inst,[status(thm)],[])).
% 9.18/6.70 tff(22549,plain,
% 9.18/6.70 ((~![B: $i] : ((~less_3(B)) | (v84(constB156, B) <=> v123(constB156, B)))) | (~less_3(bitIndex0)) | (v84(constB156, bitIndex0) <=> v123(constB156, bitIndex0))),
% 9.18/6.70 inference(modus_ponens,[status(thm)],[22548, 22547])).
% 9.18/6.70 tff(22550,plain,
% 9.18/6.70 (v84(constB156, bitIndex0) <=> v123(constB156, bitIndex0)),
% 9.18/6.70 inference(unit_resolution,[status(thm)],[22549, 9772, 22502])).
% 9.18/6.70 tff(22551,plain,
% 9.18/6.70 (((~![B: $i] : ((~less_3(B)) | (v123(constB156, B) <=> v121(constB155, B)))) | ((~less_3(bitIndex0)) | (v123(constB156, bitIndex0) <=> v121(constB155, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB156, B) <=> v121(constB155, B)))) | (~less_3(bitIndex0)) | (v123(constB156, bitIndex0) <=> v121(constB155, bitIndex0)))),
% 9.18/6.70 inference(rewrite,[status(thm)],[])).
% 9.18/6.70 tff(22552,plain,
% 9.18/6.70 ((~![B: $i] : ((~less_3(B)) | (v123(constB156, B) <=> v121(constB155, B)))) | ((~less_3(bitIndex0)) | (v123(constB156, bitIndex0) <=> v121(constB155, bitIndex0)))),
% 9.18/6.70 inference(quant_inst,[status(thm)],[])).
% 9.18/6.70 tff(22553,plain,
% 9.18/6.70 ((~![B: $i] : ((~less_3(B)) | (v123(constB156, B) <=> v121(constB155, B)))) | (~less_3(bitIndex0)) | (v123(constB156, bitIndex0) <=> v121(constB155, bitIndex0))),
% 9.18/6.71 inference(modus_ponens,[status(thm)],[22552, 22551])).
% 9.18/6.71 tff(22554,plain,
% 9.18/6.71 (v123(constB156, bitIndex0) <=> v121(constB155, bitIndex0)),
% 9.18/6.71 inference(unit_resolution,[status(thm)],[22553, 9772, 22510])).
% 9.18/6.71 tff(22555,plain,
% 9.18/6.71 (((~![B: $i] : ((~less_3(B)) | (v121(constB155, B) <=> v124(constB155, B)))) | ((~less_3(bitIndex0)) | (v121(constB155, bitIndex0) <=> v124(constB155, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB155, B) <=> v124(constB155, B)))) | (~less_3(bitIndex0)) | (v121(constB155, bitIndex0) <=> v124(constB155, bitIndex0)))),
% 9.18/6.71 inference(rewrite,[status(thm)],[])).
% 9.18/6.71 tff(22556,plain,
% 9.18/6.71 ((~![B: $i] : ((~less_3(B)) | (v121(constB155, B) <=> v124(constB155, B)))) | ((~less_3(bitIndex0)) | (v121(constB155, bitIndex0) <=> v124(constB155, bitIndex0)))),
% 9.18/6.71 inference(quant_inst,[status(thm)],[])).
% 9.18/6.71 tff(22557,plain,
% 9.18/6.71 ((~![B: $i] : ((~less_3(B)) | (v121(constB155, B) <=> v124(constB155, B)))) | (~less_3(bitIndex0)) | (v121(constB155, bitIndex0) <=> v124(constB155, bitIndex0))),
% 9.18/6.71 inference(modus_ponens,[status(thm)],[22556, 22555])).
% 9.18/6.71 tff(22558,plain,
% 9.18/6.71 (v121(constB155, bitIndex0) <=> v124(constB155, bitIndex0)),
% 9.18/6.71 inference(unit_resolution,[status(thm)],[22557, 9772, 22518])).
% 9.18/6.71 tff(22559,plain,
% 9.18/6.71 (((~![B: $i] : ((~less_3(B)) | (v124(constB155, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v124(constB155, bitIndex0) <=> b110(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB155, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v124(constB155, bitIndex0) <=> b110(bitIndex0)))),
% 9.18/6.71 inference(rewrite,[status(thm)],[])).
% 9.18/6.71 tff(22560,plain,
% 9.18/6.71 ((~![B: $i] : ((~less_3(B)) | (v124(constB155, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v124(constB155, bitIndex0) <=> b110(bitIndex0)))),
% 9.18/6.71 inference(quant_inst,[status(thm)],[])).
% 9.18/6.71 tff(22561,plain,
% 9.18/6.71 ((~![B: $i] : ((~less_3(B)) | (v124(constB155, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v124(constB155, bitIndex0) <=> b110(bitIndex0))),
% 9.18/6.71 inference(modus_ponens,[status(thm)],[22560, 22559])).
% 9.18/6.71 tff(22562,plain,
% 9.18/6.71 (v124(constB155, bitIndex0) <=> b110(bitIndex0)),
% 9.18/6.71 inference(unit_resolution,[status(thm)],[22561, 9772, 22527])).
% 9.18/6.71 tff(22563,plain,
% 9.18/6.71 ((~(v124(constB155, bitIndex0) <=> b110(bitIndex0))) | (~v124(constB155, bitIndex0)) | b110(bitIndex0)),
% 9.18/6.71 inference(tautology,[status(thm)],[])).
% 9.18/6.71 tff(22564,plain,
% 9.18/6.71 ((~(v124(constB155, bitIndex0) <=> b110(bitIndex0))) | (~v124(constB155, bitIndex0))),
% 9.18/6.71 inference(unit_resolution,[status(thm)],[22563, 10891])).
% 9.18/6.71 tff(22565,plain,
% 9.18/6.71 (~v124(constB155, bitIndex0)),
% 9.18/6.71 inference(unit_resolution,[status(thm)],[22564, 22562])).
% 9.18/6.71 tff(22566,plain,
% 9.18/6.71 ((~(v121(constB155, bitIndex0) <=> v124(constB155, bitIndex0))) | (~v121(constB155, bitIndex0)) | v124(constB155, bitIndex0)),
% 9.18/6.71 inference(tautology,[status(thm)],[])).
% 9.18/6.71 tff(22567,plain,
% 9.18/6.71 (~v121(constB155, bitIndex0)),
% 9.18/6.71 inference(unit_resolution,[status(thm)],[22566, 22565, 22558])).
% 9.18/6.71 tff(22568,plain,
% 9.18/6.71 ((~(v123(constB156, bitIndex0) <=> v121(constB155, bitIndex0))) | (~v123(constB156, bitIndex0)) | v121(constB155, bitIndex0)),
% 9.18/6.71 inference(tautology,[status(thm)],[])).
% 9.18/6.71 tff(22569,plain,
% 9.18/6.71 (~v123(constB156, bitIndex0)),
% 9.18/6.71 inference(unit_resolution,[status(thm)],[22568, 22567, 22554])).
% 9.18/6.71 tff(22570,plain,
% 9.18/6.71 ((~(v84(constB156, bitIndex0) <=> v123(constB156, bitIndex0))) | (~v84(constB156, bitIndex0)) | v123(constB156, bitIndex0)),
% 9.18/6.71 inference(tautology,[status(thm)],[])).
% 9.18/6.71 tff(22571,plain,
% 9.18/6.71 (~v84(constB156, bitIndex0)),
% 9.18/6.71 inference(unit_resolution,[status(thm)],[22570, 22569, 22550])).
% 9.18/6.71 tff(22572,plain,
% 9.18/6.71 ((~(v84(constB157, bitIndex0) <=> v84(constB156, bitIndex0))) | (~v84(constB157, bitIndex0)) | v84(constB156, bitIndex0)),
% 9.18/6.71 inference(tautology,[status(thm)],[])).
% 9.18/6.71 tff(22573,plain,
% 9.18/6.71 (~v84(constB157, bitIndex0)),
% 9.18/6.71 inference(unit_resolution,[status(thm)],[22572, 22571, 22546])).
% 9.18/6.71 tff(22574,plain,
% 9.18/6.71 (((~![B: $i] : ((~less_3(B)) | (v84(constB157, B) <=> v84(constB156, B)))) | ((~less_3(bitIndex1)) | (v84(constB157, bitIndex1) <=> v84(constB156, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB157, B) <=> v84(constB156, B)))) | (~less_3(bitIndex1)) | (v84(constB157, bitIndex1) <=> v84(constB156, bitIndex1)))),
% 9.18/6.71 inference(rewrite,[status(thm)],[])).
% 9.18/6.71 tff(22575,plain,
% 9.18/6.71 ((~![B: $i] : ((~less_3(B)) | (v84(constB157, B) <=> v84(constB156, B)))) | ((~less_3(bitIndex1)) | (v84(constB157, bitIndex1) <=> v84(constB156, bitIndex1)))),
% 9.18/6.71 inference(quant_inst,[status(thm)],[])).
% 9.18/6.71 tff(22576,plain,
% 9.18/6.71 ((~![B: $i] : ((~less_3(B)) | (v84(constB157, B) <=> v84(constB156, B)))) | (~less_3(bitIndex1)) | (v84(constB157, bitIndex1) <=> v84(constB156, bitIndex1))),
% 9.18/6.71 inference(modus_ponens,[status(thm)],[22575, 22574])).
% 9.18/6.71 tff(22577,plain,
% 9.18/6.71 (v84(constB157, bitIndex1) <=> v84(constB156, bitIndex1)),
% 9.18/6.71 inference(unit_resolution,[status(thm)],[22576, 9785, 2640])).
% 9.18/6.71 tff(22578,plain,
% 9.18/6.71 (((~![B: $i] : ((~less_3(B)) | (v84(constB156, B) <=> v123(constB156, B)))) | ((~less_3(bitIndex1)) | (v84(constB156, bitIndex1) <=> v123(constB156, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB156, B) <=> v123(constB156, B)))) | (~less_3(bitIndex1)) | (v84(constB156, bitIndex1) <=> v123(constB156, bitIndex1)))),
% 9.18/6.71 inference(rewrite,[status(thm)],[])).
% 9.18/6.71 tff(22579,plain,
% 9.18/6.71 ((~![B: $i] : ((~less_3(B)) | (v84(constB156, B) <=> v123(constB156, B)))) | ((~less_3(bitIndex1)) | (v84(constB156, bitIndex1) <=> v123(constB156, bitIndex1)))),
% 9.18/6.71 inference(quant_inst,[status(thm)],[])).
% 9.18/6.71 tff(22580,plain,
% 9.18/6.71 ((~![B: $i] : ((~less_3(B)) | (v84(constB156, B) <=> v123(constB156, B)))) | (~less_3(bitIndex1)) | (v84(constB156, bitIndex1) <=> v123(constB156, bitIndex1))),
% 9.18/6.71 inference(modus_ponens,[status(thm)],[22579, 22578])).
% 9.18/6.71 tff(22581,plain,
% 9.18/6.71 (v84(constB156, bitIndex1) <=> v123(constB156, bitIndex1)),
% 9.18/6.71 inference(unit_resolution,[status(thm)],[22580, 9785, 22502])).
% 9.18/6.71 tff(22582,plain,
% 9.18/6.71 (((~![B: $i] : ((~less_3(B)) | (v123(constB156, B) <=> v121(constB155, B)))) | ((~less_3(bitIndex1)) | (v123(constB156, bitIndex1) <=> v121(constB155, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB156, B) <=> v121(constB155, B)))) | (~less_3(bitIndex1)) | (v123(constB156, bitIndex1) <=> v121(constB155, bitIndex1)))),
% 9.18/6.71 inference(rewrite,[status(thm)],[])).
% 9.18/6.71 tff(22583,plain,
% 9.18/6.71 ((~![B: $i] : ((~less_3(B)) | (v123(constB156, B) <=> v121(constB155, B)))) | ((~less_3(bitIndex1)) | (v123(constB156, bitIndex1) <=> v121(constB155, bitIndex1)))),
% 9.18/6.71 inference(quant_inst,[status(thm)],[])).
% 9.18/6.71 tff(22584,plain,
% 9.18/6.71 ((~![B: $i] : ((~less_3(B)) | (v123(constB156, B) <=> v121(constB155, B)))) | (~less_3(bitIndex1)) | (v123(constB156, bitIndex1) <=> v121(constB155, bitIndex1))),
% 9.18/6.71 inference(modus_ponens,[status(thm)],[22583, 22582])).
% 9.18/6.71 tff(22585,plain,
% 9.18/6.71 (v123(constB156, bitIndex1) <=> v121(constB155, bitIndex1)),
% 9.18/6.71 inference(unit_resolution,[status(thm)],[22584, 9785, 22510])).
% 9.18/6.71 tff(22586,plain,
% 9.18/6.71 (((~![B: $i] : ((~less_3(B)) | (v121(constB155, B) <=> v124(constB155, B)))) | ((~less_3(bitIndex1)) | (v121(constB155, bitIndex1) <=> v124(constB155, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB155, B) <=> v124(constB155, B)))) | (~less_3(bitIndex1)) | (v121(constB155, bitIndex1) <=> v124(constB155, bitIndex1)))),
% 9.18/6.71 inference(rewrite,[status(thm)],[])).
% 9.18/6.71 tff(22587,plain,
% 9.18/6.71 ((~![B: $i] : ((~less_3(B)) | (v121(constB155, B) <=> v124(constB155, B)))) | ((~less_3(bitIndex1)) | (v121(constB155, bitIndex1) <=> v124(constB155, bitIndex1)))),
% 9.18/6.71 inference(quant_inst,[status(thm)],[])).
% 9.18/6.71 tff(22588,plain,
% 9.18/6.71 ((~![B: $i] : ((~less_3(B)) | (v121(constB155, B) <=> v124(constB155, B)))) | (~less_3(bitIndex1)) | (v121(constB155, bitIndex1) <=> v124(constB155, bitIndex1))),
% 9.18/6.71 inference(modus_ponens,[status(thm)],[22587, 22586])).
% 9.18/6.71 tff(22589,plain,
% 9.18/6.71 (v121(constB155, bitIndex1) <=> v124(constB155, bitIndex1)),
% 9.18/6.71 inference(unit_resolution,[status(thm)],[22588, 9785, 22518])).
% 9.18/6.71 tff(22590,plain,
% 9.18/6.71 (((~![B: $i] : ((~less_3(B)) | (v124(constB155, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v124(constB155, bitIndex1) <=> b110(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB155, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v124(constB155, bitIndex1) <=> b110(bitIndex1)))),
% 9.18/6.71 inference(rewrite,[status(thm)],[])).
% 9.18/6.71 tff(22591,plain,
% 9.18/6.71 ((~![B: $i] : ((~less_3(B)) | (v124(constB155, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v124(constB155, bitIndex1) <=> b110(bitIndex1)))),
% 9.18/6.71 inference(quant_inst,[status(thm)],[])).
% 9.18/6.71 tff(22592,plain,
% 9.18/6.71 ((~![B: $i] : ((~less_3(B)) | (v124(constB155, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v124(constB155, bitIndex1) <=> b110(bitIndex1))),
% 9.18/6.71 inference(modus_ponens,[status(thm)],[22591, 22590])).
% 9.18/6.71 tff(22593,plain,
% 9.18/6.71 (v124(constB155, bitIndex1) <=> b110(bitIndex1)),
% 9.18/6.71 inference(unit_resolution,[status(thm)],[22592, 9785, 22527])).
% 9.18/6.71 tff(22594,plain,
% 9.18/6.71 ((~(v124(constB155, bitIndex1) <=> b110(bitIndex1))) | v124(constB155, bitIndex1) | (~b110(bitIndex1))),
% 9.18/6.71 inference(tautology,[status(thm)],[])).
% 9.18/6.71 tff(22595,plain,
% 9.18/6.71 ((~(v124(constB155, bitIndex1) <=> b110(bitIndex1))) | v124(constB155, bitIndex1)),
% 9.18/6.71 inference(unit_resolution,[status(thm)],[22594, 10925])).
% 9.18/6.71 tff(22596,plain,
% 9.18/6.71 (v124(constB155, bitIndex1)),
% 9.18/6.71 inference(unit_resolution,[status(thm)],[22595, 22593])).
% 9.18/6.71 tff(22597,plain,
% 9.18/6.71 ((~(v121(constB155, bitIndex1) <=> v124(constB155, bitIndex1))) | v121(constB155, bitIndex1) | (~v124(constB155, bitIndex1))),
% 9.18/6.71 inference(tautology,[status(thm)],[])).
% 9.18/6.71 tff(22598,plain,
% 9.18/6.71 (v121(constB155, bitIndex1)),
% 9.18/6.71 inference(unit_resolution,[status(thm)],[22597, 22596, 22589])).
% 9.18/6.71 tff(22599,plain,
% 9.18/6.71 ((~(v123(constB156, bitIndex1) <=> v121(constB155, bitIndex1))) | v123(constB156, bitIndex1) | (~v121(constB155, bitIndex1))),
% 9.18/6.71 inference(tautology,[status(thm)],[])).
% 9.18/6.71 tff(22600,plain,
% 9.18/6.71 (v123(constB156, bitIndex1)),
% 9.18/6.71 inference(unit_resolution,[status(thm)],[22599, 22598, 22585])).
% 9.18/6.71 tff(22601,plain,
% 9.18/6.71 ((~(v84(constB156, bitIndex1) <=> v123(constB156, bitIndex1))) | v84(constB156, bitIndex1) | (~v123(constB156, bitIndex1))),
% 9.18/6.71 inference(tautology,[status(thm)],[])).
% 9.18/6.71 tff(22602,plain,
% 9.18/6.71 (v84(constB156, bitIndex1)),
% 9.18/6.71 inference(unit_resolution,[status(thm)],[22601, 22600, 22581])).
% 9.18/6.71 tff(22603,plain,
% 9.18/6.71 ((~(v84(constB157, bitIndex1) <=> v84(constB156, bitIndex1))) | v84(constB157, bitIndex1) | (~v84(constB156, bitIndex1))),
% 9.18/6.71 inference(tautology,[status(thm)],[])).
% 9.18/6.71 tff(22604,plain,
% 9.18/6.71 (v84(constB157, bitIndex1)),
% 9.18/6.71 inference(unit_resolution,[status(thm)],[22603, 22602, 22577])).
% 9.18/6.71 tff(22605,plain,
% 9.18/6.71 ((~((~v84(constB157, bitIndex2)) | (~v84(constB157, bitIndex1)) | v84(constB157, bitIndex0))) | (~v84(constB157, bitIndex2)) | (~v84(constB157, bitIndex1)) | v84(constB157, bitIndex0)),
% 9.18/6.71 inference(tautology,[status(thm)],[])).
% 9.18/6.71 tff(22606,plain,
% 9.18/6.71 (~((~v84(constB157, bitIndex2)) | (~v84(constB157, bitIndex1)) | v84(constB157, bitIndex0))),
% 9.18/6.71 inference(unit_resolution,[status(thm)],[22605, 22604, 22573, 22542])).
% 9.18/6.71 tff(22607,plain,
% 9.18/6.71 ((~(v119(constB157) <=> (~((~v84(constB157, bitIndex2)) | (~v84(constB157, bitIndex1)) | v84(constB157, bitIndex0))))) | v119(constB157) | ((~v84(constB157, bitIndex2)) | (~v84(constB157, bitIndex1)) | v84(constB157, bitIndex0))),
% 9.18/6.71 inference(tautology,[status(thm)],[])).
% 9.18/6.71 tff(22608,plain,
% 9.18/6.71 (v119(constB157)),
% 9.18/6.71 inference(unit_resolution,[status(thm)],[22607, 22606, 2612])).
% 9.18/6.71 tff(22609,plain,
% 9.18/6.71 ((v108(constB157) | v119(constB157)) | (~v119(constB157))),
% 9.18/6.71 inference(tautology,[status(thm)],[])).
% 9.18/6.71 tff(22610,plain,
% 9.18/6.71 (v108(constB157) | v119(constB157)),
% 9.18/6.71 inference(unit_resolution,[status(thm)],[22609, 22608])).
% 9.18/6.71 tff(22611,plain,
% 9.18/6.71 ((~(v107(constB157) <=> (v108(constB157) | v119(constB157)))) | v107(constB157) | (~(v108(constB157) | v119(constB157)))),
% 9.18/6.71 inference(tautology,[status(thm)],[])).
% 9.18/6.71 tff(22612,plain,
% 9.18/6.71 (v107(constB157)),
% 9.18/6.71 inference(unit_resolution,[status(thm)],[22611, 22610, 2605])).
% 9.18/6.71 tff(22613,plain,
% 9.18/6.71 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB157)) <=> v105(constB157))),
% 9.18/6.71 inference(quant_inst,[status(thm)],[])).
% 9.18/6.71 tff(22614,plain,
% 9.18/6.71 ((~v120(constB157)) <=> v105(constB157)),
% 9.18/6.71 inference(unit_resolution,[status(thm)],[22613, 9842])).
% 9.18/6.71 tff(22615,plain,
% 9.18/6.71 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB157) <=> v26(constB157))),
% 9.18/6.71 inference(quant_inst,[status(thm)],[])).
% 9.18/6.71 tff(22616,plain,
% 9.18/6.71 (v105(constB157) <=> v26(constB157)),
% 9.18/6.71 inference(unit_resolution,[status(thm)],[22615, 9854])).
% 9.18/6.71 tff(22617,plain,
% 9.18/6.71 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB157))),
% 9.18/6.71 inference(quant_inst,[status(thm)],[])).
% 9.18/6.71 tff(22618,plain,
% 9.18/6.71 (~v26(constB157)),
% 9.18/6.71 inference(unit_resolution,[status(thm)],[22617, 9866])).
% 9.18/6.71 tff(22619,plain,
% 9.18/6.71 ((~(v105(constB157) <=> v26(constB157))) | (~v105(constB157)) | v26(constB157)),
% 9.18/6.71 inference(tautology,[status(thm)],[])).
% 9.18/6.71 tff(22620,plain,
% 9.18/6.71 ((~(v105(constB157) <=> v26(constB157))) | (~v105(constB157))),
% 9.18/6.71 inference(unit_resolution,[status(thm)],[22619, 22618])).
% 9.18/6.71 tff(22621,plain,
% 9.18/6.71 (~v105(constB157)),
% 9.18/6.71 inference(unit_resolution,[status(thm)],[22620, 22616])).
% 9.18/6.71 tff(22622,plain,
% 9.18/6.71 ((~((~v120(constB157)) <=> v105(constB157))) | v120(constB157) | v105(constB157)),
% 9.18/6.71 inference(tautology,[status(thm)],[])).
% 9.18/6.71 tff(22623,plain,
% 9.18/6.71 ((~((~v120(constB157)) <=> v105(constB157))) | v120(constB157)),
% 9.18/6.71 inference(unit_resolution,[status(thm)],[22622, 22621])).
% 9.18/6.71 tff(22624,plain,
% 9.18/6.71 (v120(constB157)),
% 9.18/6.71 inference(unit_resolution,[status(thm)],[22623, 22614])).
% 9.18/6.71 tff(22625,plain,
% 9.18/6.71 ((~((~v107(constB157)) | (~v120(constB157)))) | (~v107(constB157)) | (~v120(constB157))),
% 9.18/6.71 inference(tautology,[status(thm)],[])).
% 9.18/6.71 tff(22626,plain,
% 9.18/6.71 ((~((~v107(constB157)) | (~v120(constB157)))) | (~v107(constB157))),
% 9.18/6.71 inference(unit_resolution,[status(thm)],[22625, 22624])).
% 9.18/6.71 tff(22627,plain,
% 9.18/6.71 (~((~v107(constB157)) | (~v120(constB157)))),
% 9.18/6.71 inference(unit_resolution,[status(thm)],[22626, 22612])).
% 9.18/6.71 tff(22628,plain,
% 9.18/6.71 ((~(v106(constB157) <=> (~((~v107(constB157)) | (~v120(constB157)))))) | v106(constB157) | ((~v107(constB157)) | (~v120(constB157)))),
% 9.18/6.71 inference(tautology,[status(thm)],[])).
% 9.18/6.71 tff(22629,plain,
% 9.18/6.71 (v106(constB157)),
% 9.18/6.71 inference(unit_resolution,[status(thm)],[22628, 22627, 2603])).
% 9.18/6.71 tff(22630,plain,
% 9.18/6.71 ((v105(constB157) | v106(constB157)) | (~v106(constB157))),
% 9.18/6.71 inference(tautology,[status(thm)],[])).
% 9.18/6.71 tff(22631,plain,
% 9.18/6.71 (v105(constB157) | v106(constB157)),
% 9.18/6.71 inference(unit_resolution,[status(thm)],[22630, 22629])).
% 9.18/6.71 tff(22632,plain,
% 9.18/6.71 ((~(v102(constB157) <=> (v105(constB157) | v106(constB157)))) | v102(constB157) | (~(v105(constB157) | v106(constB157)))),
% 9.18/6.71 inference(tautology,[status(thm)],[])).
% 9.18/6.71 tff(22633,plain,
% 9.18/6.71 (v102(constB157)),
% 9.18/6.71 inference(unit_resolution,[status(thm)],[22632, 22631, 2601])).
% 9.18/6.71 tff(22634,plain,
% 9.18/6.71 ((~(v104(constB158) <=> v102(constB157))) | v104(constB158) | (~v102(constB157))),
% 9.18/6.71 inference(tautology,[status(thm)],[])).
% 9.18/6.71 tff(22635,plain,
% 9.18/6.71 (v104(constB158)),
% 9.18/6.71 inference(unit_resolution,[status(thm)],[22634, 22633, 2599])).
% 9.18/6.71 tff(22636,plain,
% 9.18/6.71 ((~((~v104(constB158)) | (~v95(constB158)))) | (~v104(constB158)) | (~v95(constB158))),
% 9.18/6.71 inference(tautology,[status(thm)],[])).
% 9.18/6.71 tff(22637,plain,
% 9.18/6.71 (~((~v104(constB158)) | (~v95(constB158)))),
% 9.18/6.71 inference(unit_resolution,[status(thm)],[22636, 22635, 2595])).
% 9.18/6.71 tff(22638,plain,
% 9.18/6.71 ((~(v94(constB158) <=> (~((~v104(constB158)) | (~v95(constB158)))))) | v94(constB158) | ((~v104(constB158)) | (~v95(constB158)))),
% 9.18/6.71 inference(tautology,[status(thm)],[])).
% 9.18/6.71 tff(22639,plain,
% 9.18/6.71 (v94(constB158)),
% 9.18/6.71 inference(unit_resolution,[status(thm)],[22638, 22637, 2564])).
% 9.18/6.71 tff(22640,plain,
% 9.18/6.71 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB158)) | ![B: $i] : ((~less_3(B)) | (v84(constB158, B) <=> v123(constB158, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB158)) | ![B: $i] : ((~less_3(B)) | (v84(constB158, B) <=> v123(constB158, B))))),
% 9.18/6.71 inference(rewrite,[status(thm)],[])).
% 9.18/6.71 tff(22641,plain,
% 9.18/6.71 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB158)) | ![B: $i] : ((~less_3(B)) | (v84(constB158, B) <=> v123(constB158, B))))),
% 9.18/6.71 inference(quant_inst,[status(thm)],[])).
% 9.18/6.71 tff(22642,plain,
% 9.18/6.71 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB158)) | ![B: $i] : ((~less_3(B)) | (v84(constB158, B) <=> v123(constB158, B)))),
% 9.18/6.71 inference(modus_ponens,[status(thm)],[22641, 22640])).
% 9.18/6.71 tff(22643,plain,
% 9.18/6.71 ((~v94(constB158)) | ![B: $i] : ((~less_3(B)) | (v84(constB158, B) <=> v123(constB158, B)))),
% 9.18/6.71 inference(unit_resolution,[status(thm)],[22642, 9902])).
% 9.18/6.71 tff(22644,plain,
% 9.18/6.71 (![B: $i] : ((~less_3(B)) | (v84(constB158, B) <=> v123(constB158, B)))),
% 9.18/6.71 inference(unit_resolution,[status(thm)],[22643, 22639])).
% 9.18/6.71 tff(22645,plain,
% 9.18/6.71 (((~![B: $i] : ((~less_3(B)) | (v84(constB158, B) <=> v123(constB158, B)))) | ((~less_3(bitIndex2)) | (v84(constB158, bitIndex2) <=> v123(constB158, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB158, B) <=> v123(constB158, B)))) | (~less_3(bitIndex2)) | (v84(constB158, bitIndex2) <=> v123(constB158, bitIndex2)))),
% 9.18/6.71 inference(rewrite,[status(thm)],[])).
% 9.18/6.71 tff(22646,plain,
% 9.18/6.71 ((~![B: $i] : ((~less_3(B)) | (v84(constB158, B) <=> v123(constB158, B)))) | ((~less_3(bitIndex2)) | (v84(constB158, bitIndex2) <=> v123(constB158, bitIndex2)))),
% 9.18/6.71 inference(quant_inst,[status(thm)],[])).
% 9.18/6.71 tff(22647,plain,
% 9.18/6.71 ((~![B: $i] : ((~less_3(B)) | (v84(constB158, B) <=> v123(constB158, B)))) | (~less_3(bitIndex2)) | (v84(constB158, bitIndex2) <=> v123(constB158, bitIndex2))),
% 9.18/6.71 inference(modus_ponens,[status(thm)],[22646, 22645])).
% 9.18/6.71 tff(22648,plain,
% 9.18/6.71 (v84(constB158, bitIndex2) <=> v123(constB158, bitIndex2)),
% 9.18/6.71 inference(unit_resolution,[status(thm)],[22647, 832, 22644])).
% 9.18/6.71 tff(22649,plain,
% 9.18/6.71 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB157, constB158)) | ![B: $i] : ((~less_3(B)) | (v123(constB158, B) <=> v121(constB157, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB157, constB158)) | ![B: $i] : ((~less_3(B)) | (v123(constB158, B) <=> v121(constB157, B))))),
% 9.18/6.71 inference(rewrite,[status(thm)],[])).
% 9.18/6.71 tff(22650,plain,
% 9.18/6.71 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB157, constB158)) | ![B: $i] : ((~less_3(B)) | (v123(constB158, B) <=> v121(constB157, B))))),
% 9.18/6.71 inference(quant_inst,[status(thm)],[])).
% 9.18/6.71 tff(22651,plain,
% 9.18/6.71 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB157, constB158)) | ![B: $i] : ((~less_3(B)) | (v123(constB158, B) <=> v121(constB157, B)))),
% 9.18/6.71 inference(modus_ponens,[status(thm)],[22650, 22649])).
% 9.18/6.71 tff(22652,plain,
% 9.18/6.71 (![B: $i] : ((~less_3(B)) | (v123(constB158, B) <=> v121(constB157, B)))),
% 9.18/6.71 inference(unit_resolution,[status(thm)],[22651, 2560, 9924])).
% 9.18/6.71 tff(22653,plain,
% 9.18/6.71 (((~![B: $i] : ((~less_3(B)) | (v123(constB158, B) <=> v121(constB157, B)))) | ((~less_3(bitIndex2)) | (v123(constB158, bitIndex2) <=> v121(constB157, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB158, B) <=> v121(constB157, B)))) | (~less_3(bitIndex2)) | (v123(constB158, bitIndex2) <=> v121(constB157, bitIndex2)))),
% 9.18/6.71 inference(rewrite,[status(thm)],[])).
% 9.18/6.71 tff(22654,plain,
% 9.18/6.71 ((~![B: $i] : ((~less_3(B)) | (v123(constB158, B) <=> v121(constB157, B)))) | ((~less_3(bitIndex2)) | (v123(constB158, bitIndex2) <=> v121(constB157, bitIndex2)))),
% 9.18/6.71 inference(quant_inst,[status(thm)],[])).
% 9.18/6.71 tff(22655,plain,
% 9.18/6.71 ((~![B: $i] : ((~less_3(B)) | (v123(constB158, B) <=> v121(constB157, B)))) | (~less_3(bitIndex2)) | (v123(constB158, bitIndex2) <=> v121(constB157, bitIndex2))),
% 9.18/6.71 inference(modus_ponens,[status(thm)],[22654, 22653])).
% 9.18/6.71 tff(22656,plain,
% 9.18/6.71 (v123(constB158, bitIndex2) <=> v121(constB157, bitIndex2)),
% 9.18/6.71 inference(unit_resolution,[status(thm)],[22655, 832, 22652])).
% 9.18/6.71 tff(22657,plain,
% 9.18/6.71 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB157) | ![B: $i] : ((~less_3(B)) | (v121(constB157, B) <=> v124(constB157, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB157) | ![B: $i] : ((~less_3(B)) | (v121(constB157, B) <=> v124(constB157, B))))),
% 9.18/6.71 inference(rewrite,[status(thm)],[])).
% 9.18/6.71 tff(22658,plain,
% 9.18/6.71 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB157) | ![B: $i] : ((~less_3(B)) | (v121(constB157, B) <=> v124(constB157, B))))),
% 9.18/6.71 inference(quant_inst,[status(thm)],[])).
% 9.18/6.71 tff(22659,plain,
% 9.18/6.71 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB157) | ![B: $i] : ((~less_3(B)) | (v121(constB157, B) <=> v124(constB157, B)))),
% 9.18/6.71 inference(modus_ponens,[status(thm)],[22658, 22657])).
% 9.18/6.71 tff(22660,plain,
% 9.18/6.71 (![B: $i] : ((~less_3(B)) | (v121(constB157, B) <=> v124(constB157, B)))),
% 9.18/6.71 inference(unit_resolution,[status(thm)],[22659, 9945, 22621])).
% 9.18/6.71 tff(22661,plain,
% 9.18/6.71 (((~![B: $i] : ((~less_3(B)) | (v121(constB157, B) <=> v124(constB157, B)))) | ((~less_3(bitIndex2)) | (v121(constB157, bitIndex2) <=> v124(constB157, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB157, B) <=> v124(constB157, B)))) | (~less_3(bitIndex2)) | (v121(constB157, bitIndex2) <=> v124(constB157, bitIndex2)))),
% 9.18/6.71 inference(rewrite,[status(thm)],[])).
% 9.18/6.71 tff(22662,plain,
% 9.18/6.71 ((~![B: $i] : ((~less_3(B)) | (v121(constB157, B) <=> v124(constB157, B)))) | ((~less_3(bitIndex2)) | (v121(constB157, bitIndex2) <=> v124(constB157, bitIndex2)))),
% 9.18/6.71 inference(quant_inst,[status(thm)],[])).
% 9.18/6.71 tff(22663,plain,
% 9.18/6.71 ((~![B: $i] : ((~less_3(B)) | (v121(constB157, B) <=> v124(constB157, B)))) | (~less_3(bitIndex2)) | (v121(constB157, bitIndex2) <=> v124(constB157, bitIndex2))),
% 9.18/6.71 inference(modus_ponens,[status(thm)],[22662, 22661])).
% 9.18/6.71 tff(22664,plain,
% 9.18/6.71 (v121(constB157, bitIndex2) <=> v124(constB157, bitIndex2)),
% 9.18/6.71 inference(unit_resolution,[status(thm)],[22663, 832, 22660])).
% 9.18/6.71 tff(22665,plain,
% 9.18/6.71 ((~![VarCurr: $i] : (v113(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))))) | (v113(constB157) <=> (~(v84(constB157, bitIndex0) | v84(constB157, bitIndex1) | v84(constB157, bitIndex2))))),
% 9.18/6.71 inference(quant_inst,[status(thm)],[])).
% 9.18/6.71 tff(22666,plain,
% 9.18/6.71 (v113(constB157) <=> (~(v84(constB157, bitIndex0) | v84(constB157, bitIndex1) | v84(constB157, bitIndex2)))),
% 9.18/6.71 inference(unit_resolution,[status(thm)],[22665, 9739])).
% 9.18/6.71 tff(22667,plain,
% 9.18/6.71 ((v84(constB157, bitIndex0) | v84(constB157, bitIndex1) | v84(constB157, bitIndex2)) | (~v84(constB157, bitIndex2))),
% 9.18/6.71 inference(tautology,[status(thm)],[])).
% 9.18/6.71 tff(22668,plain,
% 9.18/6.71 (v84(constB157, bitIndex0) | v84(constB157, bitIndex1) | v84(constB157, bitIndex2)),
% 9.18/6.71 inference(unit_resolution,[status(thm)],[22667, 22542])).
% 9.18/6.71 tff(22669,plain,
% 9.18/6.71 ((~(v113(constB157) <=> (~(v84(constB157, bitIndex0) | v84(constB157, bitIndex1) | v84(constB157, bitIndex2))))) | (~v113(constB157)) | (~(v84(constB157, bitIndex0) | v84(constB157, bitIndex1) | v84(constB157, bitIndex2)))),
% 9.18/6.71 inference(tautology,[status(thm)],[])).
% 9.18/6.71 tff(22670,plain,
% 9.18/6.71 (~v113(constB157)),
% 9.18/6.71 inference(unit_resolution,[status(thm)],[22669, 22668, 22666])).
% 9.18/6.71 tff(22671,plain,
% 9.18/6.71 (((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB157) <=> (~((~v84(constB157, bitIndex2)) | v84(constB157, bitIndex1) | (~v84(constB157, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB157) <=> (~((~v84(constB157, bitIndex2)) | v84(constB157, bitIndex1) | (~v84(constB157, bitIndex0))))))),
% 9.18/6.71 inference(rewrite,[status(thm)],[])).
% 9.18/6.71 tff(22672,plain,
% 9.18/6.71 ((v118(constB157) <=> (~(v84(constB157, bitIndex1) | (~v84(constB157, bitIndex0)) | (~v84(constB157, bitIndex2))))) <=> (v118(constB157) <=> (~((~v84(constB157, bitIndex2)) | v84(constB157, bitIndex1) | (~v84(constB157, bitIndex0)))))),
% 9.18/6.71 inference(rewrite,[status(thm)],[])).
% 9.18/6.71 tff(22673,plain,
% 9.18/6.71 (((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB157) <=> (~(v84(constB157, bitIndex1) | (~v84(constB157, bitIndex0)) | (~v84(constB157, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB157) <=> (~((~v84(constB157, bitIndex2)) | v84(constB157, bitIndex1) | (~v84(constB157, bitIndex0))))))),
% 9.18/6.71 inference(monotonicity,[status(thm)],[22672])).
% 9.18/6.71 tff(22674,plain,
% 9.18/6.71 (((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB157) <=> (~(v84(constB157, bitIndex1) | (~v84(constB157, bitIndex0)) | (~v84(constB157, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB157) <=> (~((~v84(constB157, bitIndex2)) | v84(constB157, bitIndex1) | (~v84(constB157, bitIndex0))))))),
% 9.18/6.71 inference(transitivity,[status(thm)],[22673, 22671])).
% 9.18/6.71 tff(22675,plain,
% 9.18/6.71 ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB157) <=> (~(v84(constB157, bitIndex1) | (~v84(constB157, bitIndex0)) | (~v84(constB157, bitIndex2)))))),
% 9.18/6.71 inference(quant_inst,[status(thm)],[])).
% 9.18/6.71 tff(22676,plain,
% 9.18/6.71 ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB157) <=> (~((~v84(constB157, bitIndex2)) | v84(constB157, bitIndex1) | (~v84(constB157, bitIndex0)))))),
% 9.18/6.71 inference(modus_ponens,[status(thm)],[22675, 22674])).
% 9.18/6.71 tff(22677,plain,
% 9.18/6.71 (v118(constB157) <=> (~((~v84(constB157, bitIndex2)) | v84(constB157, bitIndex1) | (~v84(constB157, bitIndex0))))),
% 9.18/6.71 inference(unit_resolution,[status(thm)],[22676, 960])).
% 9.18/6.71 tff(22678,plain,
% 9.18/6.71 (((~v84(constB157, bitIndex2)) | v84(constB157, bitIndex1) | (~v84(constB157, bitIndex0))) | (~v84(constB157, bitIndex1))),
% 9.18/6.71 inference(tautology,[status(thm)],[])).
% 9.18/6.71 tff(22679,plain,
% 9.18/6.71 ((~v84(constB157, bitIndex2)) | v84(constB157, bitIndex1) | (~v84(constB157, bitIndex0))),
% 9.18/6.71 inference(unit_resolution,[status(thm)],[22678, 22604])).
% 9.18/6.71 tff(22680,plain,
% 9.18/6.71 ((~(v118(constB157) <=> (~((~v84(constB157, bitIndex2)) | v84(constB157, bitIndex1) | (~v84(constB157, bitIndex0)))))) | (~v118(constB157)) | (~((~v84(constB157, bitIndex2)) | v84(constB157, bitIndex1) | (~v84(constB157, bitIndex0))))),
% 9.18/6.71 inference(tautology,[status(thm)],[])).
% 9.18/6.71 tff(22681,plain,
% 9.18/6.71 (~v118(constB157)),
% 9.18/6.71 inference(unit_resolution,[status(thm)],[22680, 22679, 22677])).
% 9.18/6.71 tff(22682,plain,
% 9.18/6.71 (((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB157) <=> (~((~v84(constB157, bitIndex2)) | v84(constB157, bitIndex1) | v84(constB157, bitIndex0))))) <=> ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB157) <=> (~((~v84(constB157, bitIndex2)) | v84(constB157, bitIndex1) | v84(constB157, bitIndex0)))))),
% 9.18/6.71 inference(rewrite,[status(thm)],[])).
% 9.18/6.71 tff(22683,plain,
% 9.18/6.71 ((v117(constB157) <=> (~(v84(constB157, bitIndex0) | v84(constB157, bitIndex1) | (~v84(constB157, bitIndex2))))) <=> (v117(constB157) <=> (~((~v84(constB157, bitIndex2)) | v84(constB157, bitIndex1) | v84(constB157, bitIndex0))))),
% 9.18/6.71 inference(rewrite,[status(thm)],[])).
% 9.18/6.71 tff(22684,plain,
% 9.18/6.71 (((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB157) <=> (~(v84(constB157, bitIndex0) | v84(constB157, bitIndex1) | (~v84(constB157, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB157) <=> (~((~v84(constB157, bitIndex2)) | v84(constB157, bitIndex1) | v84(constB157, bitIndex0)))))),
% 9.18/6.72 inference(monotonicity,[status(thm)],[22683])).
% 9.18/6.72 tff(22685,plain,
% 9.18/6.72 (((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB157) <=> (~(v84(constB157, bitIndex0) | v84(constB157, bitIndex1) | (~v84(constB157, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB157) <=> (~((~v84(constB157, bitIndex2)) | v84(constB157, bitIndex1) | v84(constB157, bitIndex0)))))),
% 9.18/6.72 inference(transitivity,[status(thm)],[22684, 22682])).
% 9.18/6.72 tff(22686,plain,
% 9.18/6.72 ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB157) <=> (~(v84(constB157, bitIndex0) | v84(constB157, bitIndex1) | (~v84(constB157, bitIndex2)))))),
% 9.18/6.72 inference(quant_inst,[status(thm)],[])).
% 9.18/6.72 tff(22687,plain,
% 9.18/6.72 ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB157) <=> (~((~v84(constB157, bitIndex2)) | v84(constB157, bitIndex1) | v84(constB157, bitIndex0))))),
% 9.18/6.72 inference(modus_ponens,[status(thm)],[22686, 22685])).
% 9.18/6.72 tff(22688,plain,
% 9.18/6.72 (v117(constB157) <=> (~((~v84(constB157, bitIndex2)) | v84(constB157, bitIndex1) | v84(constB157, bitIndex0)))),
% 9.18/6.72 inference(unit_resolution,[status(thm)],[22687, 1071])).
% 9.18/6.72 tff(22689,plain,
% 9.18/6.72 (((~v84(constB157, bitIndex2)) | v84(constB157, bitIndex1) | v84(constB157, bitIndex0)) | (~v84(constB157, bitIndex1))),
% 9.18/6.72 inference(tautology,[status(thm)],[])).
% 9.18/6.72 tff(22690,plain,
% 9.18/6.72 ((~v84(constB157, bitIndex2)) | v84(constB157, bitIndex1) | v84(constB157, bitIndex0)),
% 9.18/6.72 inference(unit_resolution,[status(thm)],[22689, 22604])).
% 9.18/6.72 tff(22691,plain,
% 9.18/6.72 ((~(v117(constB157) <=> (~((~v84(constB157, bitIndex2)) | v84(constB157, bitIndex1) | v84(constB157, bitIndex0))))) | (~v117(constB157)) | (~((~v84(constB157, bitIndex2)) | v84(constB157, bitIndex1) | v84(constB157, bitIndex0)))),
% 9.18/6.72 inference(tautology,[status(thm)],[])).
% 9.18/6.72 tff(22692,plain,
% 9.18/6.72 (~v117(constB157)),
% 9.18/6.72 inference(unit_resolution,[status(thm)],[22691, 22690, 22688])).
% 9.18/6.72 tff(22693,plain,
% 9.18/6.72 ((~![VarCurr: $i] : (v116(VarCurr) <=> (~(v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex0)))))) | (v116(constB157) <=> (~(v84(constB157, bitIndex2) | (~v84(constB157, bitIndex1)) | (~v84(constB157, bitIndex0)))))),
% 9.18/6.72 inference(quant_inst,[status(thm)],[])).
% 9.18/6.72 tff(22694,plain,
% 9.18/6.72 (v116(constB157) <=> (~(v84(constB157, bitIndex2) | (~v84(constB157, bitIndex1)) | (~v84(constB157, bitIndex0))))),
% 9.18/6.72 inference(unit_resolution,[status(thm)],[22693, 1184])).
% 9.18/6.72 tff(22695,plain,
% 9.18/6.72 ((v84(constB157, bitIndex2) | (~v84(constB157, bitIndex1)) | (~v84(constB157, bitIndex0))) | (~v84(constB157, bitIndex2))),
% 9.18/6.72 inference(tautology,[status(thm)],[])).
% 9.18/6.72 tff(22696,plain,
% 9.18/6.72 (v84(constB157, bitIndex2) | (~v84(constB157, bitIndex1)) | (~v84(constB157, bitIndex0))),
% 9.18/6.72 inference(unit_resolution,[status(thm)],[22695, 22542])).
% 9.18/6.72 tff(22697,plain,
% 9.18/6.72 ((~(v116(constB157) <=> (~(v84(constB157, bitIndex2) | (~v84(constB157, bitIndex1)) | (~v84(constB157, bitIndex0)))))) | (~v116(constB157)) | (~(v84(constB157, bitIndex2) | (~v84(constB157, bitIndex1)) | (~v84(constB157, bitIndex0))))),
% 9.18/6.72 inference(tautology,[status(thm)],[])).
% 9.18/6.72 tff(22698,plain,
% 9.18/6.72 (~v116(constB157)),
% 9.18/6.72 inference(unit_resolution,[status(thm)],[22697, 22696, 22694])).
% 9.18/6.72 tff(22699,plain,
% 9.18/6.72 (((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB157) <=> (~(v84(constB157, bitIndex2) | (~v84(constB157, bitIndex1)) | v84(constB157, bitIndex0))))) <=> ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB157) <=> (~(v84(constB157, bitIndex2) | (~v84(constB157, bitIndex1)) | v84(constB157, bitIndex0)))))),
% 9.18/6.72 inference(rewrite,[status(thm)],[])).
% 9.18/6.72 tff(22700,plain,
% 9.18/6.72 ((v115(constB157) <=> (~(v84(constB157, bitIndex0) | v84(constB157, bitIndex2) | (~v84(constB157, bitIndex1))))) <=> (v115(constB157) <=> (~(v84(constB157, bitIndex2) | (~v84(constB157, bitIndex1)) | v84(constB157, bitIndex0))))),
% 9.18/6.72 inference(rewrite,[status(thm)],[])).
% 9.18/6.72 tff(22701,plain,
% 9.18/6.72 (((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB157) <=> (~(v84(constB157, bitIndex0) | v84(constB157, bitIndex2) | (~v84(constB157, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB157) <=> (~(v84(constB157, bitIndex2) | (~v84(constB157, bitIndex1)) | v84(constB157, bitIndex0)))))),
% 9.18/6.72 inference(monotonicity,[status(thm)],[22700])).
% 9.18/6.72 tff(22702,plain,
% 9.18/6.72 (((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB157) <=> (~(v84(constB157, bitIndex0) | v84(constB157, bitIndex2) | (~v84(constB157, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB157) <=> (~(v84(constB157, bitIndex2) | (~v84(constB157, bitIndex1)) | v84(constB157, bitIndex0)))))),
% 9.18/6.72 inference(transitivity,[status(thm)],[22701, 22699])).
% 9.18/6.72 tff(22703,plain,
% 9.18/6.72 ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB157) <=> (~(v84(constB157, bitIndex0) | v84(constB157, bitIndex2) | (~v84(constB157, bitIndex1)))))),
% 9.18/6.72 inference(quant_inst,[status(thm)],[])).
% 9.18/6.72 tff(22704,plain,
% 9.18/6.72 ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB157) <=> (~(v84(constB157, bitIndex2) | (~v84(constB157, bitIndex1)) | v84(constB157, bitIndex0))))),
% 9.18/6.72 inference(modus_ponens,[status(thm)],[22703, 22702])).
% 9.18/6.72 tff(22705,plain,
% 9.18/6.72 (v115(constB157) <=> (~(v84(constB157, bitIndex2) | (~v84(constB157, bitIndex1)) | v84(constB157, bitIndex0)))),
% 9.18/6.72 inference(unit_resolution,[status(thm)],[22704, 1294])).
% 9.18/6.72 tff(22706,plain,
% 9.18/6.72 ((v84(constB157, bitIndex2) | (~v84(constB157, bitIndex1)) | v84(constB157, bitIndex0)) | (~v84(constB157, bitIndex2))),
% 9.18/6.72 inference(tautology,[status(thm)],[])).
% 9.18/6.72 tff(22707,plain,
% 9.18/6.72 (v84(constB157, bitIndex2) | (~v84(constB157, bitIndex1)) | v84(constB157, bitIndex0)),
% 9.18/6.72 inference(unit_resolution,[status(thm)],[22706, 22542])).
% 9.18/6.72 tff(22708,plain,
% 9.18/6.72 ((~(v115(constB157) <=> (~(v84(constB157, bitIndex2) | (~v84(constB157, bitIndex1)) | v84(constB157, bitIndex0))))) | (~v115(constB157)) | (~(v84(constB157, bitIndex2) | (~v84(constB157, bitIndex1)) | v84(constB157, bitIndex0)))),
% 9.18/6.72 inference(tautology,[status(thm)],[])).
% 9.18/6.72 tff(22709,plain,
% 9.18/6.72 (~v115(constB157)),
% 9.18/6.72 inference(unit_resolution,[status(thm)],[22708, 22707, 22705])).
% 9.18/6.72 tff(22710,plain,
% 9.18/6.72 (((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB157) <=> (~(v84(constB157, bitIndex2) | v84(constB157, bitIndex1) | (~v84(constB157, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB157) <=> (~(v84(constB157, bitIndex2) | v84(constB157, bitIndex1) | (~v84(constB157, bitIndex0))))))),
% 9.18/6.72 inference(rewrite,[status(thm)],[])).
% 9.18/6.72 tff(22711,plain,
% 9.18/6.72 ((v114(constB157) <=> (~(v84(constB157, bitIndex1) | v84(constB157, bitIndex2) | (~v84(constB157, bitIndex0))))) <=> (v114(constB157) <=> (~(v84(constB157, bitIndex2) | v84(constB157, bitIndex1) | (~v84(constB157, bitIndex0)))))),
% 9.18/6.72 inference(rewrite,[status(thm)],[])).
% 9.18/6.72 tff(22712,plain,
% 9.18/6.72 (((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB157) <=> (~(v84(constB157, bitIndex1) | v84(constB157, bitIndex2) | (~v84(constB157, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB157) <=> (~(v84(constB157, bitIndex2) | v84(constB157, bitIndex1) | (~v84(constB157, bitIndex0))))))),
% 9.18/6.72 inference(monotonicity,[status(thm)],[22711])).
% 9.18/6.72 tff(22713,plain,
% 9.18/6.72 (((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB157) <=> (~(v84(constB157, bitIndex1) | v84(constB157, bitIndex2) | (~v84(constB157, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB157) <=> (~(v84(constB157, bitIndex2) | v84(constB157, bitIndex1) | (~v84(constB157, bitIndex0))))))),
% 9.18/6.72 inference(transitivity,[status(thm)],[22712, 22710])).
% 9.18/6.72 tff(22714,plain,
% 9.18/6.72 ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB157) <=> (~(v84(constB157, bitIndex1) | v84(constB157, bitIndex2) | (~v84(constB157, bitIndex0)))))),
% 9.18/6.72 inference(quant_inst,[status(thm)],[])).
% 9.18/6.72 tff(22715,plain,
% 9.18/6.72 ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB157) <=> (~(v84(constB157, bitIndex2) | v84(constB157, bitIndex1) | (~v84(constB157, bitIndex0)))))),
% 9.18/6.72 inference(modus_ponens,[status(thm)],[22714, 22713])).
% 9.18/6.72 tff(22716,plain,
% 9.18/6.72 (v114(constB157) <=> (~(v84(constB157, bitIndex2) | v84(constB157, bitIndex1) | (~v84(constB157, bitIndex0))))),
% 9.18/6.72 inference(unit_resolution,[status(thm)],[22715, 1411])).
% 9.18/6.72 tff(22717,plain,
% 9.18/6.72 ((v84(constB157, bitIndex2) | v84(constB157, bitIndex1) | (~v84(constB157, bitIndex0))) | (~v84(constB157, bitIndex2))),
% 9.18/6.72 inference(tautology,[status(thm)],[])).
% 9.18/6.72 tff(22718,plain,
% 9.18/6.72 (v84(constB157, bitIndex2) | v84(constB157, bitIndex1) | (~v84(constB157, bitIndex0))),
% 9.18/6.72 inference(unit_resolution,[status(thm)],[22717, 22542])).
% 9.18/6.72 tff(22719,plain,
% 9.18/6.72 ((~(v114(constB157) <=> (~(v84(constB157, bitIndex2) | v84(constB157, bitIndex1) | (~v84(constB157, bitIndex0)))))) | (~v114(constB157)) | (~(v84(constB157, bitIndex2) | v84(constB157, bitIndex1) | (~v84(constB157, bitIndex0))))),
% 9.18/6.72 inference(tautology,[status(thm)],[])).
% 9.18/6.72 tff(22720,plain,
% 9.18/6.72 (~v114(constB157)),
% 9.18/6.72 inference(unit_resolution,[status(thm)],[22719, 22718, 22716])).
% 9.18/6.72 tff(22721,plain,
% 9.18/6.72 (((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | (v113(constB157) | v114(constB157) | v115(constB157) | v116(constB157) | v117(constB157) | v118(constB157) | ![B: $i] : ((~less_3(B)) | (v124(constB157, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | v113(constB157) | v114(constB157) | v115(constB157) | v116(constB157) | v117(constB157) | v118(constB157) | ![B: $i] : ((~less_3(B)) | (v124(constB157, B) <=> b001(B))))),
% 9.18/6.72 inference(rewrite,[status(thm)],[])).
% 9.18/6.72 tff(22722,plain,
% 9.18/6.72 ((v118(constB157) | v117(constB157) | v116(constB157) | v115(constB157) | v114(constB157) | v113(constB157) | ![B: $i] : ((~less_3(B)) | (v124(constB157, B) <=> b001(B)))) <=> (v113(constB157) | v114(constB157) | v115(constB157) | v116(constB157) | v117(constB157) | v118(constB157) | ![B: $i] : ((~less_3(B)) | (v124(constB157, B) <=> b001(B))))),
% 9.18/6.72 inference(rewrite,[status(thm)],[])).
% 9.18/6.72 tff(22723,plain,
% 9.18/6.72 (((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | (v118(constB157) | v117(constB157) | v116(constB157) | v115(constB157) | v114(constB157) | v113(constB157) | ![B: $i] : ((~less_3(B)) | (v124(constB157, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | (v113(constB157) | v114(constB157) | v115(constB157) | v116(constB157) | v117(constB157) | v118(constB157) | ![B: $i] : ((~less_3(B)) | (v124(constB157, B) <=> b001(B)))))),
% 9.18/6.72 inference(monotonicity,[status(thm)],[22722])).
% 9.18/6.72 tff(22724,plain,
% 9.18/6.72 (((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | (v118(constB157) | v117(constB157) | v116(constB157) | v115(constB157) | v114(constB157) | v113(constB157) | ![B: $i] : ((~less_3(B)) | (v124(constB157, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | v113(constB157) | v114(constB157) | v115(constB157) | v116(constB157) | v117(constB157) | v118(constB157) | ![B: $i] : ((~less_3(B)) | (v124(constB157, B) <=> b001(B))))),
% 9.18/6.72 inference(transitivity,[status(thm)],[22723, 22721])).
% 9.18/6.72 tff(22725,plain,
% 9.18/6.72 ((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | (v118(constB157) | v117(constB157) | v116(constB157) | v115(constB157) | v114(constB157) | v113(constB157) | ![B: $i] : ((~less_3(B)) | (v124(constB157, B) <=> b001(B))))),
% 9.18/6.72 inference(quant_inst,[status(thm)],[])).
% 9.18/6.72 tff(22726,plain,
% 9.18/6.72 ((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | v113(constB157) | v114(constB157) | v115(constB157) | v116(constB157) | v117(constB157) | v118(constB157) | ![B: $i] : ((~less_3(B)) | (v124(constB157, B) <=> b001(B)))),
% 9.18/6.72 inference(modus_ponens,[status(thm)],[22725, 22724])).
% 9.18/6.72 tff(22727,plain,
% 9.18/6.72 (v113(constB157) | v114(constB157) | v115(constB157) | v116(constB157) | v117(constB157) | v118(constB157) | ![B: $i] : ((~less_3(B)) | (v124(constB157, B) <=> b001(B)))),
% 9.18/6.72 inference(unit_resolution,[status(thm)],[22726, 11068])).
% 9.18/6.72 tff(22728,plain,
% 9.18/6.72 (![B: $i] : ((~less_3(B)) | (v124(constB157, B) <=> b001(B)))),
% 9.18/6.72 inference(unit_resolution,[status(thm)],[22727, 22720, 22709, 22698, 22692, 22681, 22670])).
% 9.18/6.72 tff(22729,plain,
% 9.18/6.72 (((~![B: $i] : ((~less_3(B)) | (v124(constB157, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v124(constB157, bitIndex2) <=> b001(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB157, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v124(constB157, bitIndex2) <=> b001(bitIndex2)))),
% 9.18/6.72 inference(rewrite,[status(thm)],[])).
% 9.18/6.72 tff(22730,plain,
% 9.18/6.72 ((~![B: $i] : ((~less_3(B)) | (v124(constB157, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v124(constB157, bitIndex2) <=> b001(bitIndex2)))),
% 9.18/6.72 inference(quant_inst,[status(thm)],[])).
% 9.18/6.72 tff(22731,plain,
% 9.18/6.72 ((~![B: $i] : ((~less_3(B)) | (v124(constB157, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v124(constB157, bitIndex2) <=> b001(bitIndex2))),
% 9.18/6.72 inference(modus_ponens,[status(thm)],[22730, 22729])).
% 9.18/6.72 tff(22732,plain,
% 9.18/6.72 (v124(constB157, bitIndex2) <=> b001(bitIndex2)),
% 9.18/6.72 inference(unit_resolution,[status(thm)],[22731, 832, 22728])).
% 9.18/6.72 tff(22733,plain,
% 9.18/6.72 ((~(v124(constB157, bitIndex2) <=> b001(bitIndex2))) | (~v124(constB157, bitIndex2)) | b001(bitIndex2)),
% 9.18/6.72 inference(tautology,[status(thm)],[])).
% 9.18/6.72 tff(22734,plain,
% 9.18/6.72 ((~(v124(constB157, bitIndex2) <=> b001(bitIndex2))) | (~v124(constB157, bitIndex2))),
% 9.18/6.72 inference(unit_resolution,[status(thm)],[22733, 9977])).
% 9.18/6.72 tff(22735,plain,
% 9.18/6.72 (~v124(constB157, bitIndex2)),
% 9.18/6.72 inference(unit_resolution,[status(thm)],[22734, 22732])).
% 9.18/6.72 tff(22736,plain,
% 9.18/6.72 ((~(v121(constB157, bitIndex2) <=> v124(constB157, bitIndex2))) | (~v121(constB157, bitIndex2)) | v124(constB157, bitIndex2)),
% 9.18/6.72 inference(tautology,[status(thm)],[])).
% 9.18/6.72 tff(22737,plain,
% 9.18/6.72 (~v121(constB157, bitIndex2)),
% 9.18/6.72 inference(unit_resolution,[status(thm)],[22736, 22735, 22664])).
% 9.18/6.72 tff(22738,plain,
% 9.18/6.72 ((~(v123(constB158, bitIndex2) <=> v121(constB157, bitIndex2))) | (~v123(constB158, bitIndex2)) | v121(constB157, bitIndex2)),
% 9.18/6.72 inference(tautology,[status(thm)],[])).
% 9.18/6.72 tff(22739,plain,
% 9.18/6.72 (~v123(constB158, bitIndex2)),
% 9.18/6.72 inference(unit_resolution,[status(thm)],[22738, 22737, 22656])).
% 9.18/6.72 tff(22740,plain,
% 9.18/6.72 ((~(v84(constB158, bitIndex2) <=> v123(constB158, bitIndex2))) | (~v84(constB158, bitIndex2)) | v123(constB158, bitIndex2)),
% 9.18/6.72 inference(tautology,[status(thm)],[])).
% 9.18/6.72 tff(22741,plain,
% 9.18/6.72 (~v84(constB158, bitIndex2)),
% 9.18/6.72 inference(unit_resolution,[status(thm)],[22740, 22739, 22648])).
% 9.18/6.72 tff(22742,plain,
% 9.18/6.72 ((~(v84(constB159, bitIndex2) <=> v84(constB158, bitIndex2))) | (~v84(constB159, bitIndex2)) | v84(constB158, bitIndex2)),
% 9.18/6.72 inference(tautology,[status(thm)],[])).
% 9.18/6.72 tff(22743,plain,
% 9.18/6.72 (~v84(constB159, bitIndex2)),
% 9.18/6.72 inference(unit_resolution,[status(thm)],[22742, 22741, 2557])).
% 9.18/6.72 tff(22744,plain,
% 9.18/6.72 (((~![B: $i] : ((~less_3(B)) | (v84(constB159, B) <=> v84(constB158, B)))) | ((~less_3(bitIndex0)) | (v84(constB159, bitIndex0) <=> v84(constB158, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB159, B) <=> v84(constB158, B)))) | (~less_3(bitIndex0)) | (v84(constB159, bitIndex0) <=> v84(constB158, bitIndex0)))),
% 9.18/6.72 inference(rewrite,[status(thm)],[])).
% 9.18/6.72 tff(22745,plain,
% 9.18/6.72 ((~![B: $i] : ((~less_3(B)) | (v84(constB159, B) <=> v84(constB158, B)))) | ((~less_3(bitIndex0)) | (v84(constB159, bitIndex0) <=> v84(constB158, bitIndex0)))),
% 9.18/6.72 inference(quant_inst,[status(thm)],[])).
% 9.18/6.72 tff(22746,plain,
% 9.18/6.72 ((~![B: $i] : ((~less_3(B)) | (v84(constB159, B) <=> v84(constB158, B)))) | (~less_3(bitIndex0)) | (v84(constB159, bitIndex0) <=> v84(constB158, bitIndex0))),
% 9.18/6.72 inference(modus_ponens,[status(thm)],[22745, 22744])).
% 9.18/6.72 tff(22747,plain,
% 9.18/6.72 (v84(constB159, bitIndex0) <=> v84(constB158, bitIndex0)),
% 9.18/6.72 inference(unit_resolution,[status(thm)],[22746, 9772, 2553])).
% 9.18/6.72 tff(22748,plain,
% 9.18/6.72 (((~![B: $i] : ((~less_3(B)) | (v84(constB158, B) <=> v123(constB158, B)))) | ((~less_3(bitIndex0)) | (v84(constB158, bitIndex0) <=> v123(constB158, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB158, B) <=> v123(constB158, B)))) | (~less_3(bitIndex0)) | (v84(constB158, bitIndex0) <=> v123(constB158, bitIndex0)))),
% 9.18/6.72 inference(rewrite,[status(thm)],[])).
% 9.18/6.72 tff(22749,plain,
% 9.18/6.72 ((~![B: $i] : ((~less_3(B)) | (v84(constB158, B) <=> v123(constB158, B)))) | ((~less_3(bitIndex0)) | (v84(constB158, bitIndex0) <=> v123(constB158, bitIndex0)))),
% 9.18/6.72 inference(quant_inst,[status(thm)],[])).
% 9.18/6.72 tff(22750,plain,
% 9.18/6.72 ((~![B: $i] : ((~less_3(B)) | (v84(constB158, B) <=> v123(constB158, B)))) | (~less_3(bitIndex0)) | (v84(constB158, bitIndex0) <=> v123(constB158, bitIndex0))),
% 9.18/6.72 inference(modus_ponens,[status(thm)],[22749, 22748])).
% 9.18/6.72 tff(22751,plain,
% 9.18/6.72 (v84(constB158, bitIndex0) <=> v123(constB158, bitIndex0)),
% 9.18/6.72 inference(unit_resolution,[status(thm)],[22750, 9772, 22644])).
% 9.18/6.72 tff(22752,plain,
% 9.18/6.72 (((~![B: $i] : ((~less_3(B)) | (v123(constB158, B) <=> v121(constB157, B)))) | ((~less_3(bitIndex0)) | (v123(constB158, bitIndex0) <=> v121(constB157, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB158, B) <=> v121(constB157, B)))) | (~less_3(bitIndex0)) | (v123(constB158, bitIndex0) <=> v121(constB157, bitIndex0)))),
% 9.18/6.72 inference(rewrite,[status(thm)],[])).
% 9.18/6.72 tff(22753,plain,
% 9.18/6.72 ((~![B: $i] : ((~less_3(B)) | (v123(constB158, B) <=> v121(constB157, B)))) | ((~less_3(bitIndex0)) | (v123(constB158, bitIndex0) <=> v121(constB157, bitIndex0)))),
% 9.18/6.72 inference(quant_inst,[status(thm)],[])).
% 9.18/6.72 tff(22754,plain,
% 9.18/6.72 ((~![B: $i] : ((~less_3(B)) | (v123(constB158, B) <=> v121(constB157, B)))) | (~less_3(bitIndex0)) | (v123(constB158, bitIndex0) <=> v121(constB157, bitIndex0))),
% 9.18/6.72 inference(modus_ponens,[status(thm)],[22753, 22752])).
% 9.18/6.72 tff(22755,plain,
% 9.18/6.72 (v123(constB158, bitIndex0) <=> v121(constB157, bitIndex0)),
% 9.18/6.72 inference(unit_resolution,[status(thm)],[22754, 9772, 22652])).
% 9.18/6.72 tff(22756,plain,
% 9.18/6.72 (((~![B: $i] : ((~less_3(B)) | (v121(constB157, B) <=> v124(constB157, B)))) | ((~less_3(bitIndex0)) | (v121(constB157, bitIndex0) <=> v124(constB157, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB157, B) <=> v124(constB157, B)))) | (~less_3(bitIndex0)) | (v121(constB157, bitIndex0) <=> v124(constB157, bitIndex0)))),
% 9.18/6.72 inference(rewrite,[status(thm)],[])).
% 9.18/6.72 tff(22757,plain,
% 9.18/6.72 ((~![B: $i] : ((~less_3(B)) | (v121(constB157, B) <=> v124(constB157, B)))) | ((~less_3(bitIndex0)) | (v121(constB157, bitIndex0) <=> v124(constB157, bitIndex0)))),
% 9.18/6.72 inference(quant_inst,[status(thm)],[])).
% 9.18/6.72 tff(22758,plain,
% 9.18/6.72 ((~![B: $i] : ((~less_3(B)) | (v121(constB157, B) <=> v124(constB157, B)))) | (~less_3(bitIndex0)) | (v121(constB157, bitIndex0) <=> v124(constB157, bitIndex0))),
% 9.18/6.72 inference(modus_ponens,[status(thm)],[22757, 22756])).
% 9.18/6.72 tff(22759,plain,
% 9.18/6.72 (v121(constB157, bitIndex0) <=> v124(constB157, bitIndex0)),
% 9.18/6.72 inference(unit_resolution,[status(thm)],[22758, 9772, 22660])).
% 9.18/6.72 tff(22760,plain,
% 9.18/6.72 (((~![B: $i] : ((~less_3(B)) | (v124(constB157, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v124(constB157, bitIndex0) <=> b001(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB157, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v124(constB157, bitIndex0) <=> b001(bitIndex0)))),
% 9.18/6.72 inference(rewrite,[status(thm)],[])).
% 9.18/6.72 tff(22761,plain,
% 9.18/6.72 ((~![B: $i] : ((~less_3(B)) | (v124(constB157, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v124(constB157, bitIndex0) <=> b001(bitIndex0)))),
% 9.18/6.72 inference(quant_inst,[status(thm)],[])).
% 9.18/6.72 tff(22762,plain,
% 9.18/6.72 ((~![B: $i] : ((~less_3(B)) | (v124(constB157, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v124(constB157, bitIndex0) <=> b001(bitIndex0))),
% 9.18/6.72 inference(modus_ponens,[status(thm)],[22761, 22760])).
% 9.18/6.72 tff(22763,plain,
% 9.18/6.72 (v124(constB157, bitIndex0) <=> b001(bitIndex0)),
% 9.18/6.72 inference(unit_resolution,[status(thm)],[22762, 9772, 22728])).
% 9.18/6.72 tff(22764,plain,
% 9.18/6.72 ((~(v124(constB157, bitIndex0) <=> b001(bitIndex0))) | v124(constB157, bitIndex0) | (~b001(bitIndex0))),
% 9.18/6.72 inference(tautology,[status(thm)],[])).
% 9.18/6.72 tff(22765,plain,
% 9.18/6.72 ((~(v124(constB157, bitIndex0) <=> b001(bitIndex0))) | v124(constB157, bitIndex0)),
% 9.18/6.72 inference(unit_resolution,[status(thm)],[22764, 10011])).
% 9.18/6.72 tff(22766,plain,
% 9.18/6.72 (v124(constB157, bitIndex0)),
% 9.18/6.72 inference(unit_resolution,[status(thm)],[22765, 22763])).
% 9.18/6.72 tff(22767,plain,
% 9.18/6.72 ((~(v121(constB157, bitIndex0) <=> v124(constB157, bitIndex0))) | v121(constB157, bitIndex0) | (~v124(constB157, bitIndex0))),
% 9.18/6.72 inference(tautology,[status(thm)],[])).
% 9.18/6.72 tff(22768,plain,
% 9.18/6.72 (v121(constB157, bitIndex0)),
% 9.18/6.72 inference(unit_resolution,[status(thm)],[22767, 22766, 22759])).
% 9.18/6.72 tff(22769,plain,
% 9.18/6.72 ((~(v123(constB158, bitIndex0) <=> v121(constB157, bitIndex0))) | v123(constB158, bitIndex0) | (~v121(constB157, bitIndex0))),
% 9.18/6.72 inference(tautology,[status(thm)],[])).
% 9.18/6.72 tff(22770,plain,
% 9.18/6.72 (v123(constB158, bitIndex0)),
% 9.18/6.72 inference(unit_resolution,[status(thm)],[22769, 22768, 22755])).
% 9.18/6.72 tff(22771,plain,
% 9.18/6.72 ((~(v84(constB158, bitIndex0) <=> v123(constB158, bitIndex0))) | v84(constB158, bitIndex0) | (~v123(constB158, bitIndex0))),
% 9.18/6.72 inference(tautology,[status(thm)],[])).
% 9.18/6.72 tff(22772,plain,
% 9.18/6.72 (v84(constB158, bitIndex0)),
% 9.18/6.72 inference(unit_resolution,[status(thm)],[22771, 22770, 22751])).
% 9.18/6.72 tff(22773,plain,
% 9.18/6.72 ((~(v84(constB159, bitIndex0) <=> v84(constB158, bitIndex0))) | v84(constB159, bitIndex0) | (~v84(constB158, bitIndex0))),
% 9.18/6.72 inference(tautology,[status(thm)],[])).
% 9.18/6.72 tff(22774,plain,
% 9.18/6.72 (v84(constB159, bitIndex0)),
% 9.18/6.72 inference(unit_resolution,[status(thm)],[22773, 22772, 22747])).
% 9.18/6.72 tff(22775,plain,
% 9.18/6.72 (((~![B: $i] : ((~less_3(B)) | (v84(constB159, B) <=> v84(constB158, B)))) | ((~less_3(bitIndex1)) | (v84(constB159, bitIndex1) <=> v84(constB158, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB159, B) <=> v84(constB158, B)))) | (~less_3(bitIndex1)) | (v84(constB159, bitIndex1) <=> v84(constB158, bitIndex1)))),
% 9.18/6.72 inference(rewrite,[status(thm)],[])).
% 9.18/6.72 tff(22776,plain,
% 9.18/6.72 ((~![B: $i] : ((~less_3(B)) | (v84(constB159, B) <=> v84(constB158, B)))) | ((~less_3(bitIndex1)) | (v84(constB159, bitIndex1) <=> v84(constB158, bitIndex1)))),
% 9.18/6.72 inference(quant_inst,[status(thm)],[])).
% 9.18/6.72 tff(22777,plain,
% 9.18/6.72 ((~![B: $i] : ((~less_3(B)) | (v84(constB159, B) <=> v84(constB158, B)))) | (~less_3(bitIndex1)) | (v84(constB159, bitIndex1) <=> v84(constB158, bitIndex1))),
% 9.18/6.72 inference(modus_ponens,[status(thm)],[22776, 22775])).
% 9.18/6.72 tff(22778,plain,
% 9.18/6.72 (v84(constB159, bitIndex1) <=> v84(constB158, bitIndex1)),
% 9.18/6.72 inference(unit_resolution,[status(thm)],[22777, 9785, 2553])).
% 9.18/6.72 tff(22779,plain,
% 9.18/6.72 (((~![B: $i] : ((~less_3(B)) | (v84(constB158, B) <=> v123(constB158, B)))) | ((~less_3(bitIndex1)) | (v84(constB158, bitIndex1) <=> v123(constB158, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB158, B) <=> v123(constB158, B)))) | (~less_3(bitIndex1)) | (v84(constB158, bitIndex1) <=> v123(constB158, bitIndex1)))),
% 9.18/6.72 inference(rewrite,[status(thm)],[])).
% 9.18/6.72 tff(22780,plain,
% 9.18/6.72 ((~![B: $i] : ((~less_3(B)) | (v84(constB158, B) <=> v123(constB158, B)))) | ((~less_3(bitIndex1)) | (v84(constB158, bitIndex1) <=> v123(constB158, bitIndex1)))),
% 9.18/6.72 inference(quant_inst,[status(thm)],[])).
% 9.18/6.72 tff(22781,plain,
% 9.18/6.72 ((~![B: $i] : ((~less_3(B)) | (v84(constB158, B) <=> v123(constB158, B)))) | (~less_3(bitIndex1)) | (v84(constB158, bitIndex1) <=> v123(constB158, bitIndex1))),
% 9.18/6.72 inference(modus_ponens,[status(thm)],[22780, 22779])).
% 9.18/6.72 tff(22782,plain,
% 9.18/6.72 (v84(constB158, bitIndex1) <=> v123(constB158, bitIndex1)),
% 9.18/6.72 inference(unit_resolution,[status(thm)],[22781, 9785, 22644])).
% 9.18/6.72 tff(22783,plain,
% 9.18/6.72 (((~![B: $i] : ((~less_3(B)) | (v123(constB158, B) <=> v121(constB157, B)))) | ((~less_3(bitIndex1)) | (v123(constB158, bitIndex1) <=> v121(constB157, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB158, B) <=> v121(constB157, B)))) | (~less_3(bitIndex1)) | (v123(constB158, bitIndex1) <=> v121(constB157, bitIndex1)))),
% 9.18/6.72 inference(rewrite,[status(thm)],[])).
% 9.18/6.72 tff(22784,plain,
% 9.18/6.72 ((~![B: $i] : ((~less_3(B)) | (v123(constB158, B) <=> v121(constB157, B)))) | ((~less_3(bitIndex1)) | (v123(constB158, bitIndex1) <=> v121(constB157, bitIndex1)))),
% 9.18/6.72 inference(quant_inst,[status(thm)],[])).
% 9.18/6.72 tff(22785,plain,
% 9.18/6.72 ((~![B: $i] : ((~less_3(B)) | (v123(constB158, B) <=> v121(constB157, B)))) | (~less_3(bitIndex1)) | (v123(constB158, bitIndex1) <=> v121(constB157, bitIndex1))),
% 9.18/6.72 inference(modus_ponens,[status(thm)],[22784, 22783])).
% 9.18/6.72 tff(22786,plain,
% 9.18/6.72 (v123(constB158, bitIndex1) <=> v121(constB157, bitIndex1)),
% 9.18/6.72 inference(unit_resolution,[status(thm)],[22785, 9785, 22652])).
% 9.18/6.72 tff(22787,plain,
% 9.18/6.72 (((~![B: $i] : ((~less_3(B)) | (v121(constB157, B) <=> v124(constB157, B)))) | ((~less_3(bitIndex1)) | (v121(constB157, bitIndex1) <=> v124(constB157, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB157, B) <=> v124(constB157, B)))) | (~less_3(bitIndex1)) | (v121(constB157, bitIndex1) <=> v124(constB157, bitIndex1)))),
% 9.18/6.72 inference(rewrite,[status(thm)],[])).
% 9.18/6.72 tff(22788,plain,
% 9.18/6.72 ((~![B: $i] : ((~less_3(B)) | (v121(constB157, B) <=> v124(constB157, B)))) | ((~less_3(bitIndex1)) | (v121(constB157, bitIndex1) <=> v124(constB157, bitIndex1)))),
% 9.18/6.72 inference(quant_inst,[status(thm)],[])).
% 9.18/6.72 tff(22789,plain,
% 9.18/6.72 ((~![B: $i] : ((~less_3(B)) | (v121(constB157, B) <=> v124(constB157, B)))) | (~less_3(bitIndex1)) | (v121(constB157, bitIndex1) <=> v124(constB157, bitIndex1))),
% 9.18/6.72 inference(modus_ponens,[status(thm)],[22788, 22787])).
% 9.18/6.72 tff(22790,plain,
% 9.18/6.72 (v121(constB157, bitIndex1) <=> v124(constB157, bitIndex1)),
% 9.18/6.72 inference(unit_resolution,[status(thm)],[22789, 9785, 22660])).
% 9.18/6.72 tff(22791,plain,
% 9.18/6.72 (((~![B: $i] : ((~less_3(B)) | (v124(constB157, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v124(constB157, bitIndex1) <=> b001(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB157, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v124(constB157, bitIndex1) <=> b001(bitIndex1)))),
% 9.18/6.72 inference(rewrite,[status(thm)],[])).
% 9.18/6.72 tff(22792,plain,
% 9.18/6.72 ((~![B: $i] : ((~less_3(B)) | (v124(constB157, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v124(constB157, bitIndex1) <=> b001(bitIndex1)))),
% 9.18/6.72 inference(quant_inst,[status(thm)],[])).
% 9.18/6.72 tff(22793,plain,
% 9.18/6.72 ((~![B: $i] : ((~less_3(B)) | (v124(constB157, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v124(constB157, bitIndex1) <=> b001(bitIndex1))),
% 9.18/6.72 inference(modus_ponens,[status(thm)],[22792, 22791])).
% 9.18/6.72 tff(22794,plain,
% 9.18/6.72 (v124(constB157, bitIndex1) <=> b001(bitIndex1)),
% 9.18/6.72 inference(unit_resolution,[status(thm)],[22793, 9785, 22728])).
% 9.18/6.72 tff(22795,plain,
% 9.18/6.72 ((~(v124(constB157, bitIndex1) <=> b001(bitIndex1))) | (~v124(constB157, bitIndex1)) | b001(bitIndex1)),
% 9.18/6.72 inference(tautology,[status(thm)],[])).
% 9.18/6.72 tff(22796,plain,
% 9.18/6.72 ((~(v124(constB157, bitIndex1) <=> b001(bitIndex1))) | (~v124(constB157, bitIndex1))),
% 9.18/6.72 inference(unit_resolution,[status(thm)],[22795, 10045])).
% 9.18/6.72 tff(22797,plain,
% 9.18/6.72 (~v124(constB157, bitIndex1)),
% 9.18/6.72 inference(unit_resolution,[status(thm)],[22796, 22794])).
% 9.18/6.72 tff(22798,plain,
% 9.18/6.72 ((~(v121(constB157, bitIndex1) <=> v124(constB157, bitIndex1))) | (~v121(constB157, bitIndex1)) | v124(constB157, bitIndex1)),
% 9.18/6.72 inference(tautology,[status(thm)],[])).
% 9.18/6.72 tff(22799,plain,
% 9.18/6.72 (~v121(constB157, bitIndex1)),
% 9.18/6.72 inference(unit_resolution,[status(thm)],[22798, 22797, 22790])).
% 9.18/6.72 tff(22800,plain,
% 9.18/6.72 ((~(v123(constB158, bitIndex1) <=> v121(constB157, bitIndex1))) | (~v123(constB158, bitIndex1)) | v121(constB157, bitIndex1)),
% 9.18/6.72 inference(tautology,[status(thm)],[])).
% 9.18/6.72 tff(22801,plain,
% 9.18/6.72 (~v123(constB158, bitIndex1)),
% 9.18/6.72 inference(unit_resolution,[status(thm)],[22800, 22799, 22786])).
% 9.18/6.72 tff(22802,plain,
% 9.18/6.72 ((~(v84(constB158, bitIndex1) <=> v123(constB158, bitIndex1))) | (~v84(constB158, bitIndex1)) | v123(constB158, bitIndex1)),
% 9.18/6.72 inference(tautology,[status(thm)],[])).
% 9.18/6.72 tff(22803,plain,
% 9.18/6.72 (~v84(constB158, bitIndex1)),
% 9.18/6.72 inference(unit_resolution,[status(thm)],[22802, 22801, 22782])).
% 9.18/6.72 tff(22804,plain,
% 9.18/6.72 ((~(v84(constB159, bitIndex1) <=> v84(constB158, bitIndex1))) | (~v84(constB159, bitIndex1)) | v84(constB158, bitIndex1)),
% 9.18/6.72 inference(tautology,[status(thm)],[])).
% 9.18/6.72 tff(22805,plain,
% 9.18/6.72 (~v84(constB159, bitIndex1)),
% 9.18/6.72 inference(unit_resolution,[status(thm)],[22804, 22803, 22778])).
% 9.18/6.72 tff(22806,plain,
% 9.18/6.72 ((~(v84(constB159, bitIndex2) | v84(constB159, bitIndex1) | (~v84(constB159, bitIndex0)))) | v84(constB159, bitIndex2) | v84(constB159, bitIndex1) | (~v84(constB159, bitIndex0))),
% 9.18/6.72 inference(tautology,[status(thm)],[])).
% 9.18/6.72 tff(22807,plain,
% 9.18/6.72 (~(v84(constB159, bitIndex2) | v84(constB159, bitIndex1) | (~v84(constB159, bitIndex0)))),
% 9.18/6.72 inference(unit_resolution,[status(thm)],[22806, 22805, 22774, 22743])).
% 9.18/6.72 tff(22808,plain,
% 9.18/6.72 ((~(v114(constB159) <=> (~(v84(constB159, bitIndex2) | v84(constB159, bitIndex1) | (~v84(constB159, bitIndex0)))))) | v114(constB159) | (v84(constB159, bitIndex2) | v84(constB159, bitIndex1) | (~v84(constB159, bitIndex0)))),
% 9.18/6.72 inference(tautology,[status(thm)],[])).
% 9.18/6.72 tff(22809,plain,
% 9.18/6.72 (v114(constB159)),
% 9.18/6.72 inference(unit_resolution,[status(thm)],[22808, 22807, 2525])).
% 9.18/6.72 tff(22810,plain,
% 9.18/6.72 ((v113(constB159) | v114(constB159)) | (~v114(constB159))),
% 9.18/6.72 inference(tautology,[status(thm)],[])).
% 9.18/6.72 tff(22811,plain,
% 9.18/6.72 (v113(constB159) | v114(constB159)),
% 9.18/6.72 inference(unit_resolution,[status(thm)],[22810, 22809])).
% 9.18/6.72 tff(22812,plain,
% 9.18/6.72 ((~(v112(constB159) <=> (v113(constB159) | v114(constB159)))) | v112(constB159) | (~(v113(constB159) | v114(constB159)))),
% 9.18/6.72 inference(tautology,[status(thm)],[])).
% 9.18/6.72 tff(22813,plain,
% 9.18/6.72 (v112(constB159)),
% 9.18/6.72 inference(unit_resolution,[status(thm)],[22812, 22811, 2518])).
% 9.18/6.72 tff(22814,plain,
% 9.18/6.72 ((v112(constB159) | v115(constB159)) | (~v112(constB159))),
% 9.18/6.72 inference(tautology,[status(thm)],[])).
% 9.18/6.72 tff(22815,plain,
% 9.18/6.72 (v112(constB159) | v115(constB159)),
% 9.18/6.72 inference(unit_resolution,[status(thm)],[22814, 22813])).
% 9.18/6.72 tff(22816,plain,
% 9.18/6.72 ((~(v111(constB159) <=> (v112(constB159) | v115(constB159)))) | v111(constB159) | (~(v112(constB159) | v115(constB159)))),
% 9.18/6.72 inference(tautology,[status(thm)],[])).
% 9.18/6.72 tff(22817,plain,
% 9.18/6.72 (v111(constB159)),
% 9.18/6.72 inference(unit_resolution,[status(thm)],[22816, 22815, 2516])).
% 9.18/6.73 tff(22818,plain,
% 9.18/6.73 ((v111(constB159) | v116(constB159)) | (~v111(constB159))),
% 9.18/6.73 inference(tautology,[status(thm)],[])).
% 9.18/6.73 tff(22819,plain,
% 9.18/6.73 (v111(constB159) | v116(constB159)),
% 9.18/6.73 inference(unit_resolution,[status(thm)],[22818, 22817])).
% 9.18/6.73 tff(22820,plain,
% 9.18/6.73 ((~(v110(constB159) <=> (v111(constB159) | v116(constB159)))) | v110(constB159) | (~(v111(constB159) | v116(constB159)))),
% 9.18/6.73 inference(tautology,[status(thm)],[])).
% 9.18/6.73 tff(22821,plain,
% 9.18/6.73 (v110(constB159)),
% 9.18/6.73 inference(unit_resolution,[status(thm)],[22820, 22819, 2514])).
% 9.18/6.73 tff(22822,plain,
% 9.18/6.73 ((v110(constB159) | v117(constB159)) | (~v110(constB159))),
% 9.18/6.73 inference(tautology,[status(thm)],[])).
% 9.18/6.73 tff(22823,plain,
% 9.18/6.73 (v110(constB159) | v117(constB159)),
% 9.18/6.73 inference(unit_resolution,[status(thm)],[22822, 22821])).
% 9.18/6.73 tff(22824,plain,
% 9.18/6.73 ((~(v109(constB159) <=> (v110(constB159) | v117(constB159)))) | v109(constB159) | (~(v110(constB159) | v117(constB159)))),
% 9.18/6.73 inference(tautology,[status(thm)],[])).
% 9.18/6.73 tff(22825,plain,
% 9.18/6.73 (v109(constB159)),
% 9.18/6.73 inference(unit_resolution,[status(thm)],[22824, 22823, 2512])).
% 9.18/6.73 tff(22826,plain,
% 9.18/6.73 ((v109(constB159) | v118(constB159)) | (~v109(constB159))),
% 9.18/6.73 inference(tautology,[status(thm)],[])).
% 9.18/6.73 tff(22827,plain,
% 9.18/6.73 (v109(constB159) | v118(constB159)),
% 9.18/6.73 inference(unit_resolution,[status(thm)],[22826, 22825])).
% 9.18/6.73 tff(22828,plain,
% 9.18/6.73 ((~(v108(constB159) <=> (v109(constB159) | v118(constB159)))) | v108(constB159) | (~(v109(constB159) | v118(constB159)))),
% 9.18/6.73 inference(tautology,[status(thm)],[])).
% 9.18/6.73 tff(22829,plain,
% 9.18/6.73 (v108(constB159)),
% 9.18/6.73 inference(unit_resolution,[status(thm)],[22828, 22827, 2510])).
% 9.18/6.73 tff(22830,plain,
% 9.18/6.73 ((v108(constB159) | v119(constB159)) | (~v108(constB159))),
% 9.18/6.73 inference(tautology,[status(thm)],[])).
% 9.18/6.73 tff(22831,plain,
% 9.18/6.73 (v108(constB159) | v119(constB159)),
% 9.18/6.73 inference(unit_resolution,[status(thm)],[22830, 22829])).
% 9.18/6.73 tff(22832,plain,
% 9.18/6.73 ((~(v107(constB159) <=> (v108(constB159) | v119(constB159)))) | v107(constB159) | (~(v108(constB159) | v119(constB159)))),
% 9.18/6.73 inference(tautology,[status(thm)],[])).
% 9.18/6.73 tff(22833,plain,
% 9.18/6.73 (v107(constB159)),
% 9.18/6.73 inference(unit_resolution,[status(thm)],[22832, 22831, 2508])).
% 9.18/6.73 tff(22834,plain,
% 9.18/6.73 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB159)) <=> v105(constB159))),
% 9.18/6.73 inference(quant_inst,[status(thm)],[])).
% 9.18/6.73 tff(22835,plain,
% 9.18/6.73 ((~v120(constB159)) <=> v105(constB159)),
% 9.18/6.73 inference(unit_resolution,[status(thm)],[22834, 9842])).
% 9.18/6.73 tff(22836,plain,
% 9.18/6.73 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB159) <=> v26(constB159))),
% 9.18/6.73 inference(quant_inst,[status(thm)],[])).
% 9.18/6.73 tff(22837,plain,
% 9.18/6.73 (v105(constB159) <=> v26(constB159)),
% 9.18/6.73 inference(unit_resolution,[status(thm)],[22836, 9854])).
% 9.18/6.73 tff(22838,plain,
% 9.18/6.73 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB159))),
% 9.18/6.73 inference(quant_inst,[status(thm)],[])).
% 9.18/6.73 tff(22839,plain,
% 9.18/6.73 (~v26(constB159)),
% 9.18/6.73 inference(unit_resolution,[status(thm)],[22838, 9866])).
% 9.18/6.73 tff(22840,plain,
% 9.18/6.73 ((~(v105(constB159) <=> v26(constB159))) | (~v105(constB159)) | v26(constB159)),
% 9.18/6.73 inference(tautology,[status(thm)],[])).
% 9.18/6.73 tff(22841,plain,
% 9.18/6.73 ((~(v105(constB159) <=> v26(constB159))) | (~v105(constB159))),
% 9.18/6.73 inference(unit_resolution,[status(thm)],[22840, 22839])).
% 9.18/6.73 tff(22842,plain,
% 9.18/6.73 (~v105(constB159)),
% 9.18/6.73 inference(unit_resolution,[status(thm)],[22841, 22837])).
% 9.18/6.73 tff(22843,plain,
% 9.18/6.73 ((~((~v120(constB159)) <=> v105(constB159))) | v120(constB159) | v105(constB159)),
% 9.18/6.73 inference(tautology,[status(thm)],[])).
% 9.18/6.73 tff(22844,plain,
% 9.18/6.73 ((~((~v120(constB159)) <=> v105(constB159))) | v120(constB159)),
% 9.18/6.73 inference(unit_resolution,[status(thm)],[22843, 22842])).
% 9.18/6.73 tff(22845,plain,
% 9.18/6.73 (v120(constB159)),
% 9.18/6.73 inference(unit_resolution,[status(thm)],[22844, 22835])).
% 9.18/6.73 tff(22846,plain,
% 9.18/6.73 ((~((~v107(constB159)) | (~v120(constB159)))) | (~v107(constB159)) | (~v120(constB159))),
% 9.18/6.73 inference(tautology,[status(thm)],[])).
% 9.18/6.73 tff(22847,plain,
% 9.18/6.73 ((~((~v107(constB159)) | (~v120(constB159)))) | (~v107(constB159))),
% 9.18/6.73 inference(unit_resolution,[status(thm)],[22846, 22845])).
% 9.18/6.73 tff(22848,plain,
% 9.18/6.73 (~((~v107(constB159)) | (~v120(constB159)))),
% 9.18/6.73 inference(unit_resolution,[status(thm)],[22847, 22833])).
% 9.18/6.73 tff(22849,plain,
% 9.18/6.73 ((~(v106(constB159) <=> (~((~v107(constB159)) | (~v120(constB159)))))) | v106(constB159) | ((~v107(constB159)) | (~v120(constB159)))),
% 9.18/6.73 inference(tautology,[status(thm)],[])).
% 9.18/6.73 tff(22850,plain,
% 9.18/6.73 (v106(constB159)),
% 9.18/6.73 inference(unit_resolution,[status(thm)],[22849, 22848, 2506])).
% 9.18/6.73 tff(22851,plain,
% 9.18/6.73 ((v105(constB159) | v106(constB159)) | (~v106(constB159))),
% 9.18/6.73 inference(tautology,[status(thm)],[])).
% 9.18/6.73 tff(22852,plain,
% 9.18/6.73 (v105(constB159) | v106(constB159)),
% 9.18/6.73 inference(unit_resolution,[status(thm)],[22851, 22850])).
% 9.18/6.73 tff(22853,plain,
% 9.18/6.73 ((~(v102(constB159) <=> (v105(constB159) | v106(constB159)))) | v102(constB159) | (~(v105(constB159) | v106(constB159)))),
% 9.18/6.73 inference(tautology,[status(thm)],[])).
% 9.18/6.73 tff(22854,plain,
% 9.18/6.73 (v102(constB159)),
% 9.18/6.73 inference(unit_resolution,[status(thm)],[22853, 22852, 2504])).
% 9.18/6.73 tff(22855,plain,
% 9.18/6.73 ((~(v104(constB160) <=> v102(constB159))) | v104(constB160) | (~v102(constB159))),
% 9.18/6.73 inference(tautology,[status(thm)],[])).
% 9.18/6.73 tff(22856,plain,
% 9.18/6.73 (v104(constB160)),
% 9.18/6.73 inference(unit_resolution,[status(thm)],[22855, 22854, 2502])).
% 9.18/6.73 tff(22857,plain,
% 9.18/6.73 ((~((~v104(constB160)) | (~v95(constB160)))) | (~v104(constB160)) | (~v95(constB160))),
% 9.18/6.73 inference(tautology,[status(thm)],[])).
% 9.18/6.73 tff(22858,plain,
% 9.18/6.73 (~((~v104(constB160)) | (~v95(constB160)))),
% 9.18/6.73 inference(unit_resolution,[status(thm)],[22857, 22856, 2498])).
% 9.18/6.73 tff(22859,plain,
% 9.18/6.73 ((~(v94(constB160) <=> (~((~v104(constB160)) | (~v95(constB160)))))) | v94(constB160) | ((~v104(constB160)) | (~v95(constB160)))),
% 9.18/6.73 inference(tautology,[status(thm)],[])).
% 9.18/6.73 tff(22860,plain,
% 9.18/6.73 (v94(constB160)),
% 9.18/6.73 inference(unit_resolution,[status(thm)],[22859, 22858, 2467])).
% 9.18/6.73 tff(22861,plain,
% 9.18/6.73 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB160)) | ![B: $i] : ((~less_3(B)) | (v84(constB160, B) <=> v123(constB160, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB160)) | ![B: $i] : ((~less_3(B)) | (v84(constB160, B) <=> v123(constB160, B))))),
% 9.18/6.73 inference(rewrite,[status(thm)],[])).
% 9.18/6.73 tff(22862,plain,
% 9.18/6.73 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB160)) | ![B: $i] : ((~less_3(B)) | (v84(constB160, B) <=> v123(constB160, B))))),
% 9.18/6.73 inference(quant_inst,[status(thm)],[])).
% 9.18/6.73 tff(22863,plain,
% 9.18/6.73 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB160)) | ![B: $i] : ((~less_3(B)) | (v84(constB160, B) <=> v123(constB160, B)))),
% 9.18/6.73 inference(modus_ponens,[status(thm)],[22862, 22861])).
% 9.18/6.73 tff(22864,plain,
% 9.18/6.73 ((~v94(constB160)) | ![B: $i] : ((~less_3(B)) | (v84(constB160, B) <=> v123(constB160, B)))),
% 9.18/6.73 inference(unit_resolution,[status(thm)],[22863, 9902])).
% 9.18/6.73 tff(22865,plain,
% 9.18/6.73 (![B: $i] : ((~less_3(B)) | (v84(constB160, B) <=> v123(constB160, B)))),
% 9.18/6.73 inference(unit_resolution,[status(thm)],[22864, 22860])).
% 9.18/6.73 tff(22866,plain,
% 9.18/6.73 (((~![B: $i] : ((~less_3(B)) | (v84(constB160, B) <=> v123(constB160, B)))) | ((~less_3(bitIndex2)) | (v84(constB160, bitIndex2) <=> v123(constB160, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB160, B) <=> v123(constB160, B)))) | (~less_3(bitIndex2)) | (v84(constB160, bitIndex2) <=> v123(constB160, bitIndex2)))),
% 9.18/6.73 inference(rewrite,[status(thm)],[])).
% 9.18/6.73 tff(22867,plain,
% 9.18/6.73 ((~![B: $i] : ((~less_3(B)) | (v84(constB160, B) <=> v123(constB160, B)))) | ((~less_3(bitIndex2)) | (v84(constB160, bitIndex2) <=> v123(constB160, bitIndex2)))),
% 9.18/6.73 inference(quant_inst,[status(thm)],[])).
% 9.18/6.73 tff(22868,plain,
% 9.18/6.73 ((~![B: $i] : ((~less_3(B)) | (v84(constB160, B) <=> v123(constB160, B)))) | (~less_3(bitIndex2)) | (v84(constB160, bitIndex2) <=> v123(constB160, bitIndex2))),
% 9.18/6.73 inference(modus_ponens,[status(thm)],[22867, 22866])).
% 9.18/6.73 tff(22869,plain,
% 9.18/6.73 (v84(constB160, bitIndex2) <=> v123(constB160, bitIndex2)),
% 9.18/6.73 inference(unit_resolution,[status(thm)],[22868, 832, 22865])).
% 9.18/6.73 tff(22870,plain,
% 9.18/6.73 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB159, constB160)) | ![B: $i] : ((~less_3(B)) | (v123(constB160, B) <=> v121(constB159, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB159, constB160)) | ![B: $i] : ((~less_3(B)) | (v123(constB160, B) <=> v121(constB159, B))))),
% 9.18/6.73 inference(rewrite,[status(thm)],[])).
% 9.18/6.73 tff(22871,plain,
% 9.18/6.73 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB159, constB160)) | ![B: $i] : ((~less_3(B)) | (v123(constB160, B) <=> v121(constB159, B))))),
% 9.18/6.73 inference(quant_inst,[status(thm)],[])).
% 9.18/6.73 tff(22872,plain,
% 9.18/6.73 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB159, constB160)) | ![B: $i] : ((~less_3(B)) | (v123(constB160, B) <=> v121(constB159, B)))),
% 9.18/6.73 inference(modus_ponens,[status(thm)],[22871, 22870])).
% 9.18/6.73 tff(22873,plain,
% 9.18/6.73 (![B: $i] : ((~less_3(B)) | (v123(constB160, B) <=> v121(constB159, B)))),
% 9.18/6.73 inference(unit_resolution,[status(thm)],[22872, 2463, 9924])).
% 9.18/6.73 tff(22874,plain,
% 9.18/6.73 (((~![B: $i] : ((~less_3(B)) | (v123(constB160, B) <=> v121(constB159, B)))) | ((~less_3(bitIndex2)) | (v123(constB160, bitIndex2) <=> v121(constB159, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB160, B) <=> v121(constB159, B)))) | (~less_3(bitIndex2)) | (v123(constB160, bitIndex2) <=> v121(constB159, bitIndex2)))),
% 9.18/6.73 inference(rewrite,[status(thm)],[])).
% 9.18/6.73 tff(22875,plain,
% 9.18/6.73 ((~![B: $i] : ((~less_3(B)) | (v123(constB160, B) <=> v121(constB159, B)))) | ((~less_3(bitIndex2)) | (v123(constB160, bitIndex2) <=> v121(constB159, bitIndex2)))),
% 9.18/6.73 inference(quant_inst,[status(thm)],[])).
% 9.18/6.73 tff(22876,plain,
% 9.18/6.73 ((~![B: $i] : ((~less_3(B)) | (v123(constB160, B) <=> v121(constB159, B)))) | (~less_3(bitIndex2)) | (v123(constB160, bitIndex2) <=> v121(constB159, bitIndex2))),
% 9.18/6.73 inference(modus_ponens,[status(thm)],[22875, 22874])).
% 9.18/6.73 tff(22877,plain,
% 9.18/6.73 (v123(constB160, bitIndex2) <=> v121(constB159, bitIndex2)),
% 9.18/6.73 inference(unit_resolution,[status(thm)],[22876, 832, 22873])).
% 9.18/6.73 tff(22878,plain,
% 9.18/6.73 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB159) | ![B: $i] : ((~less_3(B)) | (v121(constB159, B) <=> v124(constB159, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB159) | ![B: $i] : ((~less_3(B)) | (v121(constB159, B) <=> v124(constB159, B))))),
% 9.18/6.73 inference(rewrite,[status(thm)],[])).
% 9.18/6.73 tff(22879,plain,
% 9.18/6.73 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB159) | ![B: $i] : ((~less_3(B)) | (v121(constB159, B) <=> v124(constB159, B))))),
% 9.18/6.73 inference(quant_inst,[status(thm)],[])).
% 9.18/6.73 tff(22880,plain,
% 9.18/6.73 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB159) | ![B: $i] : ((~less_3(B)) | (v121(constB159, B) <=> v124(constB159, B)))),
% 9.18/6.73 inference(modus_ponens,[status(thm)],[22879, 22878])).
% 9.18/6.73 tff(22881,plain,
% 9.18/6.73 (![B: $i] : ((~less_3(B)) | (v121(constB159, B) <=> v124(constB159, B)))),
% 9.18/6.73 inference(unit_resolution,[status(thm)],[22880, 9945, 22842])).
% 9.18/6.73 tff(22882,plain,
% 9.18/6.73 (((~![B: $i] : ((~less_3(B)) | (v121(constB159, B) <=> v124(constB159, B)))) | ((~less_3(bitIndex2)) | (v121(constB159, bitIndex2) <=> v124(constB159, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB159, B) <=> v124(constB159, B)))) | (~less_3(bitIndex2)) | (v121(constB159, bitIndex2) <=> v124(constB159, bitIndex2)))),
% 9.18/6.73 inference(rewrite,[status(thm)],[])).
% 9.18/6.73 tff(22883,plain,
% 9.18/6.73 ((~![B: $i] : ((~less_3(B)) | (v121(constB159, B) <=> v124(constB159, B)))) | ((~less_3(bitIndex2)) | (v121(constB159, bitIndex2) <=> v124(constB159, bitIndex2)))),
% 9.18/6.73 inference(quant_inst,[status(thm)],[])).
% 9.18/6.73 tff(22884,plain,
% 9.18/6.73 ((~![B: $i] : ((~less_3(B)) | (v121(constB159, B) <=> v124(constB159, B)))) | (~less_3(bitIndex2)) | (v121(constB159, bitIndex2) <=> v124(constB159, bitIndex2))),
% 9.18/6.73 inference(modus_ponens,[status(thm)],[22883, 22882])).
% 9.18/6.73 tff(22885,plain,
% 9.18/6.73 (v121(constB159, bitIndex2) <=> v124(constB159, bitIndex2)),
% 9.18/6.73 inference(unit_resolution,[status(thm)],[22884, 832, 22881])).
% 9.18/6.73 tff(22886,plain,
% 9.18/6.73 (((~![VarCurr: $i] : ((~v114(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b010(B))))) | ((~v114(constB159)) | ![B: $i] : ((~less_3(B)) | (v124(constB159, B) <=> b010(B))))) <=> ((~![VarCurr: $i] : ((~v114(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b010(B))))) | (~v114(constB159)) | ![B: $i] : ((~less_3(B)) | (v124(constB159, B) <=> b010(B))))),
% 9.18/6.73 inference(rewrite,[status(thm)],[])).
% 9.18/6.73 tff(22887,plain,
% 9.18/6.73 ((~![VarCurr: $i] : ((~v114(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b010(B))))) | ((~v114(constB159)) | ![B: $i] : ((~less_3(B)) | (v124(constB159, B) <=> b010(B))))),
% 9.18/6.73 inference(quant_inst,[status(thm)],[])).
% 9.18/6.73 tff(22888,plain,
% 9.18/6.73 ((~![VarCurr: $i] : ((~v114(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b010(B))))) | (~v114(constB159)) | ![B: $i] : ((~less_3(B)) | (v124(constB159, B) <=> b010(B)))),
% 9.18/6.73 inference(modus_ponens,[status(thm)],[22887, 22886])).
% 9.18/6.73 tff(22889,plain,
% 9.18/6.73 ((~v114(constB159)) | ![B: $i] : ((~less_3(B)) | (v124(constB159, B) <=> b010(B)))),
% 9.18/6.73 inference(unit_resolution,[status(thm)],[22888, 10149])).
% 9.18/6.73 tff(22890,plain,
% 9.18/6.73 (![B: $i] : ((~less_3(B)) | (v124(constB159, B) <=> b010(B)))),
% 9.18/6.73 inference(unit_resolution,[status(thm)],[22889, 22809])).
% 9.18/6.73 tff(22891,plain,
% 9.18/6.73 (((~![B: $i] : ((~less_3(B)) | (v124(constB159, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v124(constB159, bitIndex2) <=> b010(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB159, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v124(constB159, bitIndex2) <=> b010(bitIndex2)))),
% 9.18/6.73 inference(rewrite,[status(thm)],[])).
% 9.18/6.73 tff(22892,plain,
% 9.18/6.73 ((~![B: $i] : ((~less_3(B)) | (v124(constB159, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v124(constB159, bitIndex2) <=> b010(bitIndex2)))),
% 9.18/6.73 inference(quant_inst,[status(thm)],[])).
% 9.18/6.73 tff(22893,plain,
% 9.18/6.73 ((~![B: $i] : ((~less_3(B)) | (v124(constB159, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v124(constB159, bitIndex2) <=> b010(bitIndex2))),
% 9.18/6.73 inference(modus_ponens,[status(thm)],[22892, 22891])).
% 9.18/6.73 tff(22894,plain,
% 9.18/6.73 (v124(constB159, bitIndex2) <=> b010(bitIndex2)),
% 9.18/6.73 inference(unit_resolution,[status(thm)],[22893, 832, 22890])).
% 9.18/6.73 tff(22895,plain,
% 9.18/6.73 ((~(v124(constB159, bitIndex2) <=> b010(bitIndex2))) | (~v124(constB159, bitIndex2)) | b010(bitIndex2)),
% 9.18/6.73 inference(tautology,[status(thm)],[])).
% 9.18/6.73 tff(22896,plain,
% 9.18/6.73 ((~(v124(constB159, bitIndex2) <=> b010(bitIndex2))) | (~v124(constB159, bitIndex2))),
% 9.18/6.73 inference(unit_resolution,[status(thm)],[22895, 10161])).
% 9.18/6.73 tff(22897,plain,
% 9.18/6.73 (~v124(constB159, bitIndex2)),
% 9.18/6.73 inference(unit_resolution,[status(thm)],[22896, 22894])).
% 9.18/6.73 tff(22898,plain,
% 9.18/6.73 ((~(v121(constB159, bitIndex2) <=> v124(constB159, bitIndex2))) | (~v121(constB159, bitIndex2)) | v124(constB159, bitIndex2)),
% 9.18/6.73 inference(tautology,[status(thm)],[])).
% 9.18/6.73 tff(22899,plain,
% 9.18/6.73 (~v121(constB159, bitIndex2)),
% 9.18/6.73 inference(unit_resolution,[status(thm)],[22898, 22897, 22885])).
% 9.18/6.73 tff(22900,plain,
% 9.18/6.73 ((~(v123(constB160, bitIndex2) <=> v121(constB159, bitIndex2))) | (~v123(constB160, bitIndex2)) | v121(constB159, bitIndex2)),
% 9.18/6.73 inference(tautology,[status(thm)],[])).
% 9.18/6.73 tff(22901,plain,
% 9.18/6.73 (~v123(constB160, bitIndex2)),
% 9.18/6.73 inference(unit_resolution,[status(thm)],[22900, 22899, 22877])).
% 9.18/6.73 tff(22902,plain,
% 9.18/6.73 ((~(v84(constB160, bitIndex2) <=> v123(constB160, bitIndex2))) | (~v84(constB160, bitIndex2)) | v123(constB160, bitIndex2)),
% 9.18/6.73 inference(tautology,[status(thm)],[])).
% 9.18/6.73 tff(22903,plain,
% 9.18/6.73 (~v84(constB160, bitIndex2)),
% 9.18/6.73 inference(unit_resolution,[status(thm)],[22902, 22901, 22869])).
% 9.18/6.73 tff(22904,plain,
% 9.18/6.73 ((~(v84(constB161, bitIndex2) <=> v84(constB160, bitIndex2))) | (~v84(constB161, bitIndex2)) | v84(constB160, bitIndex2)),
% 9.18/6.73 inference(tautology,[status(thm)],[])).
% 9.18/6.73 tff(22905,plain,
% 9.18/6.73 (~v84(constB161, bitIndex2)),
% 9.18/6.73 inference(unit_resolution,[status(thm)],[22904, 22903, 2460])).
% 9.18/6.73 tff(22906,plain,
% 9.18/6.73 (((~![B: $i] : ((~less_3(B)) | (v84(constB161, B) <=> v84(constB160, B)))) | ((~less_3(bitIndex0)) | (v84(constB161, bitIndex0) <=> v84(constB160, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB161, B) <=> v84(constB160, B)))) | (~less_3(bitIndex0)) | (v84(constB161, bitIndex0) <=> v84(constB160, bitIndex0)))),
% 9.18/6.73 inference(rewrite,[status(thm)],[])).
% 9.18/6.73 tff(22907,plain,
% 9.18/6.73 ((~![B: $i] : ((~less_3(B)) | (v84(constB161, B) <=> v84(constB160, B)))) | ((~less_3(bitIndex0)) | (v84(constB161, bitIndex0) <=> v84(constB160, bitIndex0)))),
% 9.18/6.73 inference(quant_inst,[status(thm)],[])).
% 9.18/6.73 tff(22908,plain,
% 9.18/6.73 ((~![B: $i] : ((~less_3(B)) | (v84(constB161, B) <=> v84(constB160, B)))) | (~less_3(bitIndex0)) | (v84(constB161, bitIndex0) <=> v84(constB160, bitIndex0))),
% 9.18/6.73 inference(modus_ponens,[status(thm)],[22907, 22906])).
% 9.18/6.73 tff(22909,plain,
% 9.18/6.73 (v84(constB161, bitIndex0) <=> v84(constB160, bitIndex0)),
% 9.18/6.73 inference(unit_resolution,[status(thm)],[22908, 9772, 2456])).
% 9.18/6.73 tff(22910,plain,
% 9.18/6.73 (((~![B: $i] : ((~less_3(B)) | (v84(constB160, B) <=> v123(constB160, B)))) | ((~less_3(bitIndex0)) | (v84(constB160, bitIndex0) <=> v123(constB160, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB160, B) <=> v123(constB160, B)))) | (~less_3(bitIndex0)) | (v84(constB160, bitIndex0) <=> v123(constB160, bitIndex0)))),
% 9.18/6.73 inference(rewrite,[status(thm)],[])).
% 9.18/6.73 tff(22911,plain,
% 9.18/6.73 ((~![B: $i] : ((~less_3(B)) | (v84(constB160, B) <=> v123(constB160, B)))) | ((~less_3(bitIndex0)) | (v84(constB160, bitIndex0) <=> v123(constB160, bitIndex0)))),
% 9.18/6.73 inference(quant_inst,[status(thm)],[])).
% 9.18/6.73 tff(22912,plain,
% 9.18/6.73 ((~![B: $i] : ((~less_3(B)) | (v84(constB160, B) <=> v123(constB160, B)))) | (~less_3(bitIndex0)) | (v84(constB160, bitIndex0) <=> v123(constB160, bitIndex0))),
% 9.18/6.73 inference(modus_ponens,[status(thm)],[22911, 22910])).
% 9.18/6.73 tff(22913,plain,
% 9.18/6.73 (v84(constB160, bitIndex0) <=> v123(constB160, bitIndex0)),
% 9.18/6.73 inference(unit_resolution,[status(thm)],[22912, 9772, 22865])).
% 9.18/6.73 tff(22914,plain,
% 9.18/6.73 (((~![B: $i] : ((~less_3(B)) | (v123(constB160, B) <=> v121(constB159, B)))) | ((~less_3(bitIndex0)) | (v123(constB160, bitIndex0) <=> v121(constB159, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB160, B) <=> v121(constB159, B)))) | (~less_3(bitIndex0)) | (v123(constB160, bitIndex0) <=> v121(constB159, bitIndex0)))),
% 9.18/6.73 inference(rewrite,[status(thm)],[])).
% 9.18/6.73 tff(22915,plain,
% 9.18/6.73 ((~![B: $i] : ((~less_3(B)) | (v123(constB160, B) <=> v121(constB159, B)))) | ((~less_3(bitIndex0)) | (v123(constB160, bitIndex0) <=> v121(constB159, bitIndex0)))),
% 9.18/6.73 inference(quant_inst,[status(thm)],[])).
% 9.18/6.73 tff(22916,plain,
% 9.18/6.73 ((~![B: $i] : ((~less_3(B)) | (v123(constB160, B) <=> v121(constB159, B)))) | (~less_3(bitIndex0)) | (v123(constB160, bitIndex0) <=> v121(constB159, bitIndex0))),
% 9.18/6.73 inference(modus_ponens,[status(thm)],[22915, 22914])).
% 9.18/6.73 tff(22917,plain,
% 9.18/6.73 (v123(constB160, bitIndex0) <=> v121(constB159, bitIndex0)),
% 9.18/6.73 inference(unit_resolution,[status(thm)],[22916, 9772, 22873])).
% 9.18/6.73 tff(22918,plain,
% 9.18/6.73 (((~![B: $i] : ((~less_3(B)) | (v121(constB159, B) <=> v124(constB159, B)))) | ((~less_3(bitIndex0)) | (v121(constB159, bitIndex0) <=> v124(constB159, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB159, B) <=> v124(constB159, B)))) | (~less_3(bitIndex0)) | (v121(constB159, bitIndex0) <=> v124(constB159, bitIndex0)))),
% 9.18/6.73 inference(rewrite,[status(thm)],[])).
% 9.18/6.73 tff(22919,plain,
% 9.18/6.73 ((~![B: $i] : ((~less_3(B)) | (v121(constB159, B) <=> v124(constB159, B)))) | ((~less_3(bitIndex0)) | (v121(constB159, bitIndex0) <=> v124(constB159, bitIndex0)))),
% 9.18/6.73 inference(quant_inst,[status(thm)],[])).
% 9.18/6.73 tff(22920,plain,
% 9.18/6.73 ((~![B: $i] : ((~less_3(B)) | (v121(constB159, B) <=> v124(constB159, B)))) | (~less_3(bitIndex0)) | (v121(constB159, bitIndex0) <=> v124(constB159, bitIndex0))),
% 9.18/6.73 inference(modus_ponens,[status(thm)],[22919, 22918])).
% 9.18/6.73 tff(22921,plain,
% 9.18/6.73 (v121(constB159, bitIndex0) <=> v124(constB159, bitIndex0)),
% 9.18/6.73 inference(unit_resolution,[status(thm)],[22920, 9772, 22881])).
% 9.18/6.73 tff(22922,plain,
% 9.18/6.73 (((~![B: $i] : ((~less_3(B)) | (v124(constB159, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v124(constB159, bitIndex0) <=> b010(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB159, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v124(constB159, bitIndex0) <=> b010(bitIndex0)))),
% 9.18/6.73 inference(rewrite,[status(thm)],[])).
% 9.18/6.73 tff(22923,plain,
% 9.18/6.73 ((~![B: $i] : ((~less_3(B)) | (v124(constB159, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v124(constB159, bitIndex0) <=> b010(bitIndex0)))),
% 9.18/6.73 inference(quant_inst,[status(thm)],[])).
% 9.18/6.73 tff(22924,plain,
% 9.18/6.73 ((~![B: $i] : ((~less_3(B)) | (v124(constB159, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v124(constB159, bitIndex0) <=> b010(bitIndex0))),
% 9.18/6.73 inference(modus_ponens,[status(thm)],[22923, 22922])).
% 9.18/6.73 tff(22925,plain,
% 9.18/6.73 (v124(constB159, bitIndex0) <=> b010(bitIndex0)),
% 9.18/6.73 inference(unit_resolution,[status(thm)],[22924, 9772, 22890])).
% 9.18/6.73 tff(22926,plain,
% 9.18/6.73 ((~(v124(constB159, bitIndex0) <=> b010(bitIndex0))) | (~v124(constB159, bitIndex0)) | b010(bitIndex0)),
% 9.18/6.73 inference(tautology,[status(thm)],[])).
% 9.18/6.73 tff(22927,plain,
% 9.18/6.73 ((~(v124(constB159, bitIndex0) <=> b010(bitIndex0))) | (~v124(constB159, bitIndex0))),
% 9.18/6.73 inference(unit_resolution,[status(thm)],[22926, 10195])).
% 9.18/6.73 tff(22928,plain,
% 9.18/6.73 (~v124(constB159, bitIndex0)),
% 9.18/6.73 inference(unit_resolution,[status(thm)],[22927, 22925])).
% 9.18/6.73 tff(22929,plain,
% 9.18/6.73 ((~(v121(constB159, bitIndex0) <=> v124(constB159, bitIndex0))) | (~v121(constB159, bitIndex0)) | v124(constB159, bitIndex0)),
% 9.18/6.73 inference(tautology,[status(thm)],[])).
% 9.18/6.73 tff(22930,plain,
% 9.18/6.73 (~v121(constB159, bitIndex0)),
% 9.18/6.73 inference(unit_resolution,[status(thm)],[22929, 22928, 22921])).
% 9.18/6.73 tff(22931,plain,
% 9.18/6.73 ((~(v123(constB160, bitIndex0) <=> v121(constB159, bitIndex0))) | (~v123(constB160, bitIndex0)) | v121(constB159, bitIndex0)),
% 9.18/6.73 inference(tautology,[status(thm)],[])).
% 9.18/6.73 tff(22932,plain,
% 9.18/6.73 (~v123(constB160, bitIndex0)),
% 9.18/6.73 inference(unit_resolution,[status(thm)],[22931, 22930, 22917])).
% 9.18/6.73 tff(22933,plain,
% 9.18/6.73 ((~(v84(constB160, bitIndex0) <=> v123(constB160, bitIndex0))) | (~v84(constB160, bitIndex0)) | v123(constB160, bitIndex0)),
% 9.18/6.73 inference(tautology,[status(thm)],[])).
% 9.18/6.73 tff(22934,plain,
% 9.18/6.73 (~v84(constB160, bitIndex0)),
% 9.18/6.73 inference(unit_resolution,[status(thm)],[22933, 22932, 22913])).
% 9.18/6.73 tff(22935,plain,
% 9.18/6.73 ((~(v84(constB161, bitIndex0) <=> v84(constB160, bitIndex0))) | (~v84(constB161, bitIndex0)) | v84(constB160, bitIndex0)),
% 9.18/6.73 inference(tautology,[status(thm)],[])).
% 9.18/6.73 tff(22936,plain,
% 9.18/6.73 (~v84(constB161, bitIndex0)),
% 9.18/6.73 inference(unit_resolution,[status(thm)],[22935, 22934, 22909])).
% 9.18/6.73 tff(22937,plain,
% 9.18/6.73 (((~![B: $i] : ((~less_3(B)) | (v84(constB161, B) <=> v84(constB160, B)))) | ((~less_3(bitIndex1)) | (v84(constB161, bitIndex1) <=> v84(constB160, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB161, B) <=> v84(constB160, B)))) | (~less_3(bitIndex1)) | (v84(constB161, bitIndex1) <=> v84(constB160, bitIndex1)))),
% 9.18/6.73 inference(rewrite,[status(thm)],[])).
% 9.18/6.73 tff(22938,plain,
% 9.18/6.73 ((~![B: $i] : ((~less_3(B)) | (v84(constB161, B) <=> v84(constB160, B)))) | ((~less_3(bitIndex1)) | (v84(constB161, bitIndex1) <=> v84(constB160, bitIndex1)))),
% 9.18/6.73 inference(quant_inst,[status(thm)],[])).
% 9.18/6.73 tff(22939,plain,
% 9.18/6.73 ((~![B: $i] : ((~less_3(B)) | (v84(constB161, B) <=> v84(constB160, B)))) | (~less_3(bitIndex1)) | (v84(constB161, bitIndex1) <=> v84(constB160, bitIndex1))),
% 9.18/6.73 inference(modus_ponens,[status(thm)],[22938, 22937])).
% 9.18/6.73 tff(22940,plain,
% 9.18/6.73 (v84(constB161, bitIndex1) <=> v84(constB160, bitIndex1)),
% 9.18/6.73 inference(unit_resolution,[status(thm)],[22939, 9785, 2456])).
% 9.18/6.73 tff(22941,plain,
% 9.18/6.73 (((~![B: $i] : ((~less_3(B)) | (v84(constB160, B) <=> v123(constB160, B)))) | ((~less_3(bitIndex1)) | (v84(constB160, bitIndex1) <=> v123(constB160, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB160, B) <=> v123(constB160, B)))) | (~less_3(bitIndex1)) | (v84(constB160, bitIndex1) <=> v123(constB160, bitIndex1)))),
% 9.18/6.73 inference(rewrite,[status(thm)],[])).
% 9.18/6.73 tff(22942,plain,
% 9.18/6.73 ((~![B: $i] : ((~less_3(B)) | (v84(constB160, B) <=> v123(constB160, B)))) | ((~less_3(bitIndex1)) | (v84(constB160, bitIndex1) <=> v123(constB160, bitIndex1)))),
% 9.18/6.73 inference(quant_inst,[status(thm)],[])).
% 9.18/6.73 tff(22943,plain,
% 9.18/6.73 ((~![B: $i] : ((~less_3(B)) | (v84(constB160, B) <=> v123(constB160, B)))) | (~less_3(bitIndex1)) | (v84(constB160, bitIndex1) <=> v123(constB160, bitIndex1))),
% 9.18/6.73 inference(modus_ponens,[status(thm)],[22942, 22941])).
% 9.18/6.73 tff(22944,plain,
% 9.18/6.73 (v84(constB160, bitIndex1) <=> v123(constB160, bitIndex1)),
% 9.18/6.73 inference(unit_resolution,[status(thm)],[22943, 9785, 22865])).
% 9.18/6.73 tff(22945,plain,
% 9.18/6.73 (((~![B: $i] : ((~less_3(B)) | (v123(constB160, B) <=> v121(constB159, B)))) | ((~less_3(bitIndex1)) | (v123(constB160, bitIndex1) <=> v121(constB159, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB160, B) <=> v121(constB159, B)))) | (~less_3(bitIndex1)) | (v123(constB160, bitIndex1) <=> v121(constB159, bitIndex1)))),
% 9.18/6.73 inference(rewrite,[status(thm)],[])).
% 9.18/6.73 tff(22946,plain,
% 9.18/6.73 ((~![B: $i] : ((~less_3(B)) | (v123(constB160, B) <=> v121(constB159, B)))) | ((~less_3(bitIndex1)) | (v123(constB160, bitIndex1) <=> v121(constB159, bitIndex1)))),
% 9.18/6.73 inference(quant_inst,[status(thm)],[])).
% 9.18/6.73 tff(22947,plain,
% 9.18/6.73 ((~![B: $i] : ((~less_3(B)) | (v123(constB160, B) <=> v121(constB159, B)))) | (~less_3(bitIndex1)) | (v123(constB160, bitIndex1) <=> v121(constB159, bitIndex1))),
% 9.18/6.73 inference(modus_ponens,[status(thm)],[22946, 22945])).
% 9.18/6.73 tff(22948,plain,
% 9.18/6.73 (v123(constB160, bitIndex1) <=> v121(constB159, bitIndex1)),
% 9.18/6.73 inference(unit_resolution,[status(thm)],[22947, 9785, 22873])).
% 9.18/6.73 tff(22949,plain,
% 9.18/6.73 (((~![B: $i] : ((~less_3(B)) | (v121(constB159, B) <=> v124(constB159, B)))) | ((~less_3(bitIndex1)) | (v121(constB159, bitIndex1) <=> v124(constB159, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB159, B) <=> v124(constB159, B)))) | (~less_3(bitIndex1)) | (v121(constB159, bitIndex1) <=> v124(constB159, bitIndex1)))),
% 9.18/6.73 inference(rewrite,[status(thm)],[])).
% 9.18/6.73 tff(22950,plain,
% 9.18/6.73 ((~![B: $i] : ((~less_3(B)) | (v121(constB159, B) <=> v124(constB159, B)))) | ((~less_3(bitIndex1)) | (v121(constB159, bitIndex1) <=> v124(constB159, bitIndex1)))),
% 9.18/6.73 inference(quant_inst,[status(thm)],[])).
% 9.18/6.73 tff(22951,plain,
% 9.18/6.73 ((~![B: $i] : ((~less_3(B)) | (v121(constB159, B) <=> v124(constB159, B)))) | (~less_3(bitIndex1)) | (v121(constB159, bitIndex1) <=> v124(constB159, bitIndex1))),
% 9.18/6.73 inference(modus_ponens,[status(thm)],[22950, 22949])).
% 9.18/6.73 tff(22952,plain,
% 9.18/6.73 (v121(constB159, bitIndex1) <=> v124(constB159, bitIndex1)),
% 9.18/6.73 inference(unit_resolution,[status(thm)],[22951, 9785, 22881])).
% 9.18/6.73 tff(22953,plain,
% 9.18/6.73 (((~![B: $i] : ((~less_3(B)) | (v124(constB159, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v124(constB159, bitIndex1) <=> b010(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB159, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v124(constB159, bitIndex1) <=> b010(bitIndex1)))),
% 9.18/6.73 inference(rewrite,[status(thm)],[])).
% 9.18/6.73 tff(22954,plain,
% 9.18/6.73 ((~![B: $i] : ((~less_3(B)) | (v124(constB159, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v124(constB159, bitIndex1) <=> b010(bitIndex1)))),
% 9.18/6.73 inference(quant_inst,[status(thm)],[])).
% 9.18/6.73 tff(22955,plain,
% 9.18/6.73 ((~![B: $i] : ((~less_3(B)) | (v124(constB159, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v124(constB159, bitIndex1) <=> b010(bitIndex1))),
% 9.18/6.73 inference(modus_ponens,[status(thm)],[22954, 22953])).
% 9.18/6.73 tff(22956,plain,
% 9.18/6.73 (v124(constB159, bitIndex1) <=> b010(bitIndex1)),
% 9.18/6.73 inference(unit_resolution,[status(thm)],[22955, 9785, 22890])).
% 9.18/6.73 tff(22957,plain,
% 9.18/6.73 ((~(v124(constB159, bitIndex1) <=> b010(bitIndex1))) | v124(constB159, bitIndex1) | (~b010(bitIndex1))),
% 9.18/6.73 inference(tautology,[status(thm)],[])).
% 9.18/6.73 tff(22958,plain,
% 9.18/6.73 ((~(v124(constB159, bitIndex1) <=> b010(bitIndex1))) | v124(constB159, bitIndex1)),
% 9.18/6.73 inference(unit_resolution,[status(thm)],[22957, 10229])).
% 9.18/6.73 tff(22959,plain,
% 9.18/6.73 (v124(constB159, bitIndex1)),
% 9.18/6.73 inference(unit_resolution,[status(thm)],[22958, 22956])).
% 9.18/6.73 tff(22960,plain,
% 9.18/6.73 ((~(v121(constB159, bitIndex1) <=> v124(constB159, bitIndex1))) | v121(constB159, bitIndex1) | (~v124(constB159, bitIndex1))),
% 9.18/6.73 inference(tautology,[status(thm)],[])).
% 9.18/6.73 tff(22961,plain,
% 9.18/6.73 (v121(constB159, bitIndex1)),
% 9.18/6.73 inference(unit_resolution,[status(thm)],[22960, 22959, 22952])).
% 9.18/6.73 tff(22962,plain,
% 9.18/6.73 ((~(v123(constB160, bitIndex1) <=> v121(constB159, bitIndex1))) | v123(constB160, bitIndex1) | (~v121(constB159, bitIndex1))),
% 9.18/6.73 inference(tautology,[status(thm)],[])).
% 9.18/6.73 tff(22963,plain,
% 9.18/6.73 (v123(constB160, bitIndex1)),
% 9.18/6.73 inference(unit_resolution,[status(thm)],[22962, 22961, 22948])).
% 9.18/6.73 tff(22964,plain,
% 9.18/6.73 ((~(v84(constB160, bitIndex1) <=> v123(constB160, bitIndex1))) | v84(constB160, bitIndex1) | (~v123(constB160, bitIndex1))),
% 9.18/6.73 inference(tautology,[status(thm)],[])).
% 9.18/6.73 tff(22965,plain,
% 9.18/6.73 (v84(constB160, bitIndex1)),
% 9.18/6.73 inference(unit_resolution,[status(thm)],[22964, 22963, 22944])).
% 9.18/6.73 tff(22966,plain,
% 9.18/6.73 ((~(v84(constB161, bitIndex1) <=> v84(constB160, bitIndex1))) | v84(constB161, bitIndex1) | (~v84(constB160, bitIndex1))),
% 9.18/6.73 inference(tautology,[status(thm)],[])).
% 9.18/6.73 tff(22967,plain,
% 9.18/6.73 (v84(constB161, bitIndex1)),
% 9.18/6.73 inference(unit_resolution,[status(thm)],[22966, 22965, 22940])).
% 9.18/6.73 tff(22968,plain,
% 9.18/6.73 ((~(v84(constB161, bitIndex2) | (~v84(constB161, bitIndex1)) | v84(constB161, bitIndex0))) | v84(constB161, bitIndex2) | (~v84(constB161, bitIndex1)) | v84(constB161, bitIndex0)),
% 9.18/6.73 inference(tautology,[status(thm)],[])).
% 9.18/6.73 tff(22969,plain,
% 9.18/6.73 (~(v84(constB161, bitIndex2) | (~v84(constB161, bitIndex1)) | v84(constB161, bitIndex0))),
% 9.18/6.73 inference(unit_resolution,[status(thm)],[22968, 22967, 22936, 22905])).
% 9.18/6.73 tff(22970,plain,
% 9.18/6.73 ((~(v115(constB161) <=> (~(v84(constB161, bitIndex2) | (~v84(constB161, bitIndex1)) | v84(constB161, bitIndex0))))) | v115(constB161) | (v84(constB161, bitIndex2) | (~v84(constB161, bitIndex1)) | v84(constB161, bitIndex0))),
% 9.18/6.73 inference(tautology,[status(thm)],[])).
% 9.18/6.73 tff(22971,plain,
% 9.18/6.73 (v115(constB161)),
% 9.18/6.73 inference(unit_resolution,[status(thm)],[22970, 22969, 2428])).
% 9.18/6.73 tff(22972,plain,
% 9.18/6.73 ((v112(constB161) | v115(constB161)) | (~v115(constB161))),
% 9.18/6.73 inference(tautology,[status(thm)],[])).
% 9.18/6.73 tff(22973,plain,
% 9.18/6.73 (v112(constB161) | v115(constB161)),
% 9.18/6.73 inference(unit_resolution,[status(thm)],[22972, 22971])).
% 9.18/6.73 tff(22974,plain,
% 9.18/6.73 ((~(v111(constB161) <=> (v112(constB161) | v115(constB161)))) | v111(constB161) | (~(v112(constB161) | v115(constB161)))),
% 9.18/6.73 inference(tautology,[status(thm)],[])).
% 9.18/6.73 tff(22975,plain,
% 9.18/6.73 (v111(constB161)),
% 9.18/6.73 inference(unit_resolution,[status(thm)],[22974, 22973, 2421])).
% 9.18/6.73 tff(22976,plain,
% 9.18/6.73 ((v111(constB161) | v116(constB161)) | (~v111(constB161))),
% 9.18/6.73 inference(tautology,[status(thm)],[])).
% 9.18/6.73 tff(22977,plain,
% 9.18/6.73 (v111(constB161) | v116(constB161)),
% 9.18/6.73 inference(unit_resolution,[status(thm)],[22976, 22975])).
% 9.18/6.73 tff(22978,plain,
% 9.18/6.73 ((~(v110(constB161) <=> (v111(constB161) | v116(constB161)))) | v110(constB161) | (~(v111(constB161) | v116(constB161)))),
% 9.18/6.73 inference(tautology,[status(thm)],[])).
% 9.18/6.73 tff(22979,plain,
% 9.18/6.73 (v110(constB161)),
% 9.18/6.73 inference(unit_resolution,[status(thm)],[22978, 22977, 2419])).
% 9.18/6.73 tff(22980,plain,
% 9.18/6.73 ((v110(constB161) | v117(constB161)) | (~v110(constB161))),
% 9.18/6.73 inference(tautology,[status(thm)],[])).
% 9.18/6.73 tff(22981,plain,
% 9.18/6.73 (v110(constB161) | v117(constB161)),
% 9.18/6.73 inference(unit_resolution,[status(thm)],[22980, 22979])).
% 9.18/6.73 tff(22982,plain,
% 9.18/6.73 ((~(v109(constB161) <=> (v110(constB161) | v117(constB161)))) | v109(constB161) | (~(v110(constB161) | v117(constB161)))),
% 9.18/6.73 inference(tautology,[status(thm)],[])).
% 9.18/6.73 tff(22983,plain,
% 9.18/6.73 (v109(constB161)),
% 9.18/6.73 inference(unit_resolution,[status(thm)],[22982, 22981, 2417])).
% 9.18/6.73 tff(22984,plain,
% 9.18/6.73 ((v109(constB161) | v118(constB161)) | (~v109(constB161))),
% 9.18/6.73 inference(tautology,[status(thm)],[])).
% 9.18/6.73 tff(22985,plain,
% 9.18/6.73 (v109(constB161) | v118(constB161)),
% 9.18/6.73 inference(unit_resolution,[status(thm)],[22984, 22983])).
% 9.18/6.73 tff(22986,plain,
% 9.18/6.73 ((~(v108(constB161) <=> (v109(constB161) | v118(constB161)))) | v108(constB161) | (~(v109(constB161) | v118(constB161)))),
% 9.18/6.73 inference(tautology,[status(thm)],[])).
% 9.18/6.73 tff(22987,plain,
% 9.18/6.73 (v108(constB161)),
% 9.18/6.73 inference(unit_resolution,[status(thm)],[22986, 22985, 2415])).
% 9.18/6.73 tff(22988,plain,
% 9.18/6.73 ((v108(constB161) | v119(constB161)) | (~v108(constB161))),
% 9.18/6.73 inference(tautology,[status(thm)],[])).
% 9.18/6.73 tff(22989,plain,
% 9.18/6.73 (v108(constB161) | v119(constB161)),
% 9.18/6.73 inference(unit_resolution,[status(thm)],[22988, 22987])).
% 9.18/6.73 tff(22990,plain,
% 9.18/6.73 ((~(v107(constB161) <=> (v108(constB161) | v119(constB161)))) | v107(constB161) | (~(v108(constB161) | v119(constB161)))),
% 9.18/6.73 inference(tautology,[status(thm)],[])).
% 9.18/6.73 tff(22991,plain,
% 9.18/6.73 (v107(constB161)),
% 9.18/6.73 inference(unit_resolution,[status(thm)],[22990, 22989, 2413])).
% 9.18/6.73 tff(22992,plain,
% 9.18/6.73 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB161)) <=> v105(constB161))),
% 9.18/6.73 inference(quant_inst,[status(thm)],[])).
% 9.18/6.73 tff(22993,plain,
% 9.18/6.73 ((~v120(constB161)) <=> v105(constB161)),
% 9.18/6.73 inference(unit_resolution,[status(thm)],[22992, 9842])).
% 9.18/6.73 tff(22994,plain,
% 9.18/6.73 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB161) <=> v26(constB161))),
% 9.18/6.73 inference(quant_inst,[status(thm)],[])).
% 9.18/6.73 tff(22995,plain,
% 9.18/6.73 (v105(constB161) <=> v26(constB161)),
% 9.18/6.73 inference(unit_resolution,[status(thm)],[22994, 9854])).
% 9.18/6.73 tff(22996,plain,
% 9.18/6.73 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB161))),
% 9.18/6.73 inference(quant_inst,[status(thm)],[])).
% 9.18/6.73 tff(22997,plain,
% 9.18/6.73 (~v26(constB161)),
% 9.18/6.73 inference(unit_resolution,[status(thm)],[22996, 9866])).
% 9.18/6.73 tff(22998,plain,
% 9.18/6.73 ((~(v105(constB161) <=> v26(constB161))) | (~v105(constB161)) | v26(constB161)),
% 9.18/6.73 inference(tautology,[status(thm)],[])).
% 9.18/6.73 tff(22999,plain,
% 9.18/6.73 ((~(v105(constB161) <=> v26(constB161))) | (~v105(constB161))),
% 9.18/6.73 inference(unit_resolution,[status(thm)],[22998, 22997])).
% 9.18/6.73 tff(23000,plain,
% 9.18/6.73 (~v105(constB161)),
% 9.18/6.73 inference(unit_resolution,[status(thm)],[22999, 22995])).
% 9.18/6.73 tff(23001,plain,
% 9.18/6.73 ((~((~v120(constB161)) <=> v105(constB161))) | v120(constB161) | v105(constB161)),
% 9.18/6.73 inference(tautology,[status(thm)],[])).
% 9.18/6.73 tff(23002,plain,
% 9.18/6.73 ((~((~v120(constB161)) <=> v105(constB161))) | v120(constB161)),
% 9.18/6.73 inference(unit_resolution,[status(thm)],[23001, 23000])).
% 9.18/6.73 tff(23003,plain,
% 9.18/6.73 (v120(constB161)),
% 9.18/6.73 inference(unit_resolution,[status(thm)],[23002, 22993])).
% 9.18/6.73 tff(23004,plain,
% 9.18/6.73 ((~((~v107(constB161)) | (~v120(constB161)))) | (~v107(constB161)) | (~v120(constB161))),
% 9.18/6.73 inference(tautology,[status(thm)],[])).
% 9.18/6.73 tff(23005,plain,
% 9.18/6.73 ((~((~v107(constB161)) | (~v120(constB161)))) | (~v107(constB161))),
% 9.18/6.73 inference(unit_resolution,[status(thm)],[23004, 23003])).
% 9.18/6.73 tff(23006,plain,
% 9.18/6.73 (~((~v107(constB161)) | (~v120(constB161)))),
% 9.18/6.73 inference(unit_resolution,[status(thm)],[23005, 22991])).
% 9.18/6.73 tff(23007,plain,
% 9.18/6.73 ((~(v106(constB161) <=> (~((~v107(constB161)) | (~v120(constB161)))))) | v106(constB161) | ((~v107(constB161)) | (~v120(constB161)))),
% 9.18/6.74 inference(tautology,[status(thm)],[])).
% 9.18/6.74 tff(23008,plain,
% 9.18/6.74 (v106(constB161)),
% 9.18/6.74 inference(unit_resolution,[status(thm)],[23007, 23006, 2411])).
% 9.18/6.74 tff(23009,plain,
% 9.18/6.74 ((v105(constB161) | v106(constB161)) | (~v106(constB161))),
% 9.18/6.74 inference(tautology,[status(thm)],[])).
% 9.18/6.74 tff(23010,plain,
% 9.18/6.74 (v105(constB161) | v106(constB161)),
% 9.18/6.74 inference(unit_resolution,[status(thm)],[23009, 23008])).
% 9.18/6.74 tff(23011,plain,
% 9.18/6.74 ((~(v102(constB161) <=> (v105(constB161) | v106(constB161)))) | v102(constB161) | (~(v105(constB161) | v106(constB161)))),
% 9.18/6.74 inference(tautology,[status(thm)],[])).
% 9.18/6.74 tff(23012,plain,
% 9.18/6.74 (v102(constB161)),
% 9.18/6.74 inference(unit_resolution,[status(thm)],[23011, 23010, 2409])).
% 9.18/6.74 tff(23013,plain,
% 9.18/6.74 ((~(v104(constB162) <=> v102(constB161))) | v104(constB162) | (~v102(constB161))),
% 9.18/6.74 inference(tautology,[status(thm)],[])).
% 9.18/6.74 tff(23014,plain,
% 9.18/6.74 (v104(constB162)),
% 9.18/6.74 inference(unit_resolution,[status(thm)],[23013, 23012, 2407])).
% 9.18/6.74 tff(23015,plain,
% 9.18/6.74 ((~((~v104(constB162)) | (~v95(constB162)))) | (~v104(constB162)) | (~v95(constB162))),
% 9.18/6.74 inference(tautology,[status(thm)],[])).
% 9.18/6.74 tff(23016,plain,
% 9.18/6.74 (~((~v104(constB162)) | (~v95(constB162)))),
% 9.18/6.74 inference(unit_resolution,[status(thm)],[23015, 23014, 2403])).
% 9.18/6.74 tff(23017,plain,
% 9.18/6.74 ((~(v94(constB162) <=> (~((~v104(constB162)) | (~v95(constB162)))))) | v94(constB162) | ((~v104(constB162)) | (~v95(constB162)))),
% 9.18/6.74 inference(tautology,[status(thm)],[])).
% 9.18/6.74 tff(23018,plain,
% 9.18/6.74 (v94(constB162)),
% 9.18/6.74 inference(unit_resolution,[status(thm)],[23017, 23016, 2372])).
% 9.18/6.74 tff(23019,plain,
% 9.18/6.74 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB162)) | ![B: $i] : ((~less_3(B)) | (v84(constB162, B) <=> v123(constB162, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB162)) | ![B: $i] : ((~less_3(B)) | (v84(constB162, B) <=> v123(constB162, B))))),
% 9.18/6.74 inference(rewrite,[status(thm)],[])).
% 9.18/6.74 tff(23020,plain,
% 9.18/6.74 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB162)) | ![B: $i] : ((~less_3(B)) | (v84(constB162, B) <=> v123(constB162, B))))),
% 9.18/6.74 inference(quant_inst,[status(thm)],[])).
% 9.18/6.74 tff(23021,plain,
% 9.18/6.74 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB162)) | ![B: $i] : ((~less_3(B)) | (v84(constB162, B) <=> v123(constB162, B)))),
% 9.18/6.74 inference(modus_ponens,[status(thm)],[23020, 23019])).
% 9.18/6.74 tff(23022,plain,
% 9.18/6.74 ((~v94(constB162)) | ![B: $i] : ((~less_3(B)) | (v84(constB162, B) <=> v123(constB162, B)))),
% 9.18/6.74 inference(unit_resolution,[status(thm)],[23021, 9902])).
% 9.18/6.74 tff(23023,plain,
% 9.18/6.74 (![B: $i] : ((~less_3(B)) | (v84(constB162, B) <=> v123(constB162, B)))),
% 9.18/6.74 inference(unit_resolution,[status(thm)],[23022, 23018])).
% 9.18/6.74 tff(23024,plain,
% 9.18/6.74 (((~![B: $i] : ((~less_3(B)) | (v84(constB162, B) <=> v123(constB162, B)))) | ((~less_3(bitIndex2)) | (v84(constB162, bitIndex2) <=> v123(constB162, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB162, B) <=> v123(constB162, B)))) | (~less_3(bitIndex2)) | (v84(constB162, bitIndex2) <=> v123(constB162, bitIndex2)))),
% 9.18/6.74 inference(rewrite,[status(thm)],[])).
% 9.18/6.74 tff(23025,plain,
% 9.18/6.74 ((~![B: $i] : ((~less_3(B)) | (v84(constB162, B) <=> v123(constB162, B)))) | ((~less_3(bitIndex2)) | (v84(constB162, bitIndex2) <=> v123(constB162, bitIndex2)))),
% 9.18/6.74 inference(quant_inst,[status(thm)],[])).
% 9.18/6.74 tff(23026,plain,
% 9.18/6.74 ((~![B: $i] : ((~less_3(B)) | (v84(constB162, B) <=> v123(constB162, B)))) | (~less_3(bitIndex2)) | (v84(constB162, bitIndex2) <=> v123(constB162, bitIndex2))),
% 9.18/6.74 inference(modus_ponens,[status(thm)],[23025, 23024])).
% 9.18/6.74 tff(23027,plain,
% 9.18/6.74 (v84(constB162, bitIndex2) <=> v123(constB162, bitIndex2)),
% 9.18/6.74 inference(unit_resolution,[status(thm)],[23026, 832, 23023])).
% 9.18/6.74 tff(23028,plain,
% 9.18/6.74 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB161, constB162)) | ![B: $i] : ((~less_3(B)) | (v123(constB162, B) <=> v121(constB161, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB161, constB162)) | ![B: $i] : ((~less_3(B)) | (v123(constB162, B) <=> v121(constB161, B))))),
% 9.18/6.74 inference(rewrite,[status(thm)],[])).
% 9.18/6.74 tff(23029,plain,
% 9.18/6.74 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB161, constB162)) | ![B: $i] : ((~less_3(B)) | (v123(constB162, B) <=> v121(constB161, B))))),
% 9.18/6.74 inference(quant_inst,[status(thm)],[])).
% 9.18/6.74 tff(23030,plain,
% 9.18/6.74 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB161, constB162)) | ![B: $i] : ((~less_3(B)) | (v123(constB162, B) <=> v121(constB161, B)))),
% 9.18/6.74 inference(modus_ponens,[status(thm)],[23029, 23028])).
% 9.18/6.74 tff(23031,plain,
% 9.18/6.74 (![B: $i] : ((~less_3(B)) | (v123(constB162, B) <=> v121(constB161, B)))),
% 9.18/6.74 inference(unit_resolution,[status(thm)],[23030, 2368, 9924])).
% 9.18/6.74 tff(23032,plain,
% 9.18/6.74 (((~![B: $i] : ((~less_3(B)) | (v123(constB162, B) <=> v121(constB161, B)))) | ((~less_3(bitIndex2)) | (v123(constB162, bitIndex2) <=> v121(constB161, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB162, B) <=> v121(constB161, B)))) | (~less_3(bitIndex2)) | (v123(constB162, bitIndex2) <=> v121(constB161, bitIndex2)))),
% 9.18/6.74 inference(rewrite,[status(thm)],[])).
% 9.18/6.74 tff(23033,plain,
% 9.18/6.74 ((~![B: $i] : ((~less_3(B)) | (v123(constB162, B) <=> v121(constB161, B)))) | ((~less_3(bitIndex2)) | (v123(constB162, bitIndex2) <=> v121(constB161, bitIndex2)))),
% 9.18/6.74 inference(quant_inst,[status(thm)],[])).
% 9.18/6.74 tff(23034,plain,
% 9.18/6.74 ((~![B: $i] : ((~less_3(B)) | (v123(constB162, B) <=> v121(constB161, B)))) | (~less_3(bitIndex2)) | (v123(constB162, bitIndex2) <=> v121(constB161, bitIndex2))),
% 9.18/6.74 inference(modus_ponens,[status(thm)],[23033, 23032])).
% 9.18/6.74 tff(23035,plain,
% 9.18/6.74 (v123(constB162, bitIndex2) <=> v121(constB161, bitIndex2)),
% 9.18/6.74 inference(unit_resolution,[status(thm)],[23034, 832, 23031])).
% 9.18/6.74 tff(23036,plain,
% 9.18/6.74 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB161) | ![B: $i] : ((~less_3(B)) | (v121(constB161, B) <=> v124(constB161, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB161) | ![B: $i] : ((~less_3(B)) | (v121(constB161, B) <=> v124(constB161, B))))),
% 9.18/6.74 inference(rewrite,[status(thm)],[])).
% 9.18/6.74 tff(23037,plain,
% 9.18/6.74 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB161) | ![B: $i] : ((~less_3(B)) | (v121(constB161, B) <=> v124(constB161, B))))),
% 9.18/6.74 inference(quant_inst,[status(thm)],[])).
% 9.18/6.74 tff(23038,plain,
% 9.18/6.74 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB161) | ![B: $i] : ((~less_3(B)) | (v121(constB161, B) <=> v124(constB161, B)))),
% 9.18/6.74 inference(modus_ponens,[status(thm)],[23037, 23036])).
% 9.18/6.74 tff(23039,plain,
% 9.18/6.74 (![B: $i] : ((~less_3(B)) | (v121(constB161, B) <=> v124(constB161, B)))),
% 9.18/6.74 inference(unit_resolution,[status(thm)],[23038, 9945, 23000])).
% 9.18/6.74 tff(23040,plain,
% 9.18/6.74 (((~![B: $i] : ((~less_3(B)) | (v121(constB161, B) <=> v124(constB161, B)))) | ((~less_3(bitIndex2)) | (v121(constB161, bitIndex2) <=> v124(constB161, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB161, B) <=> v124(constB161, B)))) | (~less_3(bitIndex2)) | (v121(constB161, bitIndex2) <=> v124(constB161, bitIndex2)))),
% 9.18/6.74 inference(rewrite,[status(thm)],[])).
% 9.18/6.74 tff(23041,plain,
% 9.18/6.74 ((~![B: $i] : ((~less_3(B)) | (v121(constB161, B) <=> v124(constB161, B)))) | ((~less_3(bitIndex2)) | (v121(constB161, bitIndex2) <=> v124(constB161, bitIndex2)))),
% 9.18/6.74 inference(quant_inst,[status(thm)],[])).
% 9.18/6.74 tff(23042,plain,
% 9.18/6.74 ((~![B: $i] : ((~less_3(B)) | (v121(constB161, B) <=> v124(constB161, B)))) | (~less_3(bitIndex2)) | (v121(constB161, bitIndex2) <=> v124(constB161, bitIndex2))),
% 9.18/6.74 inference(modus_ponens,[status(thm)],[23041, 23040])).
% 9.18/6.74 tff(23043,plain,
% 9.18/6.74 (v121(constB161, bitIndex2) <=> v124(constB161, bitIndex2)),
% 9.18/6.74 inference(unit_resolution,[status(thm)],[23042, 832, 23039])).
% 9.18/6.74 tff(23044,plain,
% 9.18/6.74 (((~![VarCurr: $i] : ((~v115(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b011(B))))) | ((~v115(constB161)) | ![B: $i] : ((~less_3(B)) | (v124(constB161, B) <=> b011(B))))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b011(B))))) | (~v115(constB161)) | ![B: $i] : ((~less_3(B)) | (v124(constB161, B) <=> b011(B))))),
% 9.18/6.74 inference(rewrite,[status(thm)],[])).
% 9.18/6.74 tff(23045,plain,
% 9.18/6.74 ((~![VarCurr: $i] : ((~v115(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b011(B))))) | ((~v115(constB161)) | ![B: $i] : ((~less_3(B)) | (v124(constB161, B) <=> b011(B))))),
% 9.18/6.74 inference(quant_inst,[status(thm)],[])).
% 9.18/6.74 tff(23046,plain,
% 9.18/6.74 ((~![VarCurr: $i] : ((~v115(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b011(B))))) | (~v115(constB161)) | ![B: $i] : ((~less_3(B)) | (v124(constB161, B) <=> b011(B)))),
% 9.18/6.74 inference(modus_ponens,[status(thm)],[23045, 23044])).
% 9.18/6.74 tff(23047,plain,
% 9.18/6.74 ((~v115(constB161)) | ![B: $i] : ((~less_3(B)) | (v124(constB161, B) <=> b011(B)))),
% 9.18/6.74 inference(unit_resolution,[status(thm)],[23046, 10329])).
% 9.18/6.74 tff(23048,plain,
% 9.18/6.74 (![B: $i] : ((~less_3(B)) | (v124(constB161, B) <=> b011(B)))),
% 9.18/6.74 inference(unit_resolution,[status(thm)],[23047, 22971])).
% 9.18/6.74 tff(23049,plain,
% 9.18/6.74 (((~![B: $i] : ((~less_3(B)) | (v124(constB161, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v124(constB161, bitIndex2) <=> b011(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB161, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v124(constB161, bitIndex2) <=> b011(bitIndex2)))),
% 9.18/6.74 inference(rewrite,[status(thm)],[])).
% 9.18/6.74 tff(23050,plain,
% 9.18/6.74 ((~![B: $i] : ((~less_3(B)) | (v124(constB161, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v124(constB161, bitIndex2) <=> b011(bitIndex2)))),
% 9.18/6.74 inference(quant_inst,[status(thm)],[])).
% 9.18/6.74 tff(23051,plain,
% 9.18/6.74 ((~![B: $i] : ((~less_3(B)) | (v124(constB161, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v124(constB161, bitIndex2) <=> b011(bitIndex2))),
% 9.18/6.74 inference(modus_ponens,[status(thm)],[23050, 23049])).
% 9.18/6.74 tff(23052,plain,
% 9.18/6.74 (v124(constB161, bitIndex2) <=> b011(bitIndex2)),
% 9.18/6.74 inference(unit_resolution,[status(thm)],[23051, 832, 23048])).
% 9.18/6.74 tff(23053,plain,
% 9.18/6.74 ((~(v124(constB161, bitIndex2) <=> b011(bitIndex2))) | (~v124(constB161, bitIndex2)) | b011(bitIndex2)),
% 9.18/6.74 inference(tautology,[status(thm)],[])).
% 9.18/6.74 tff(23054,plain,
% 9.18/6.74 ((~(v124(constB161, bitIndex2) <=> b011(bitIndex2))) | (~v124(constB161, bitIndex2))),
% 9.18/6.74 inference(unit_resolution,[status(thm)],[23053, 10341])).
% 9.18/6.74 tff(23055,plain,
% 9.18/6.74 (~v124(constB161, bitIndex2)),
% 9.18/6.74 inference(unit_resolution,[status(thm)],[23054, 23052])).
% 9.18/6.74 tff(23056,plain,
% 9.18/6.74 ((~(v121(constB161, bitIndex2) <=> v124(constB161, bitIndex2))) | (~v121(constB161, bitIndex2)) | v124(constB161, bitIndex2)),
% 9.18/6.74 inference(tautology,[status(thm)],[])).
% 9.18/6.74 tff(23057,plain,
% 9.18/6.74 (~v121(constB161, bitIndex2)),
% 9.18/6.74 inference(unit_resolution,[status(thm)],[23056, 23055, 23043])).
% 9.18/6.74 tff(23058,plain,
% 9.18/6.74 ((~(v123(constB162, bitIndex2) <=> v121(constB161, bitIndex2))) | (~v123(constB162, bitIndex2)) | v121(constB161, bitIndex2)),
% 9.18/6.74 inference(tautology,[status(thm)],[])).
% 9.18/6.74 tff(23059,plain,
% 9.18/6.74 (~v123(constB162, bitIndex2)),
% 9.18/6.74 inference(unit_resolution,[status(thm)],[23058, 23057, 23035])).
% 9.18/6.74 tff(23060,plain,
% 9.18/6.74 ((~(v84(constB162, bitIndex2) <=> v123(constB162, bitIndex2))) | (~v84(constB162, bitIndex2)) | v123(constB162, bitIndex2)),
% 9.18/6.74 inference(tautology,[status(thm)],[])).
% 9.18/6.74 tff(23061,plain,
% 9.18/6.74 (~v84(constB162, bitIndex2)),
% 9.18/6.74 inference(unit_resolution,[status(thm)],[23060, 23059, 23027])).
% 9.18/6.74 tff(23062,plain,
% 9.18/6.74 ((~(v84(constB163, bitIndex2) <=> v84(constB162, bitIndex2))) | (~v84(constB163, bitIndex2)) | v84(constB162, bitIndex2)),
% 9.18/6.74 inference(tautology,[status(thm)],[])).
% 9.18/6.74 tff(23063,plain,
% 9.18/6.74 (~v84(constB163, bitIndex2)),
% 9.18/6.74 inference(unit_resolution,[status(thm)],[23062, 23061, 2365])).
% 9.18/6.74 tff(23064,plain,
% 9.18/6.74 (((~![B: $i] : ((~less_3(B)) | (v84(constB163, B) <=> v84(constB162, B)))) | ((~less_3(bitIndex0)) | (v84(constB163, bitIndex0) <=> v84(constB162, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB163, B) <=> v84(constB162, B)))) | (~less_3(bitIndex0)) | (v84(constB163, bitIndex0) <=> v84(constB162, bitIndex0)))),
% 9.18/6.74 inference(rewrite,[status(thm)],[])).
% 9.18/6.74 tff(23065,plain,
% 9.18/6.74 ((~![B: $i] : ((~less_3(B)) | (v84(constB163, B) <=> v84(constB162, B)))) | ((~less_3(bitIndex0)) | (v84(constB163, bitIndex0) <=> v84(constB162, bitIndex0)))),
% 9.18/6.74 inference(quant_inst,[status(thm)],[])).
% 9.18/6.74 tff(23066,plain,
% 9.18/6.74 ((~![B: $i] : ((~less_3(B)) | (v84(constB163, B) <=> v84(constB162, B)))) | (~less_3(bitIndex0)) | (v84(constB163, bitIndex0) <=> v84(constB162, bitIndex0))),
% 9.18/6.74 inference(modus_ponens,[status(thm)],[23065, 23064])).
% 9.18/6.74 tff(23067,plain,
% 9.18/6.74 (v84(constB163, bitIndex0) <=> v84(constB162, bitIndex0)),
% 9.18/6.74 inference(unit_resolution,[status(thm)],[23066, 9772, 2361])).
% 9.18/6.74 tff(23068,plain,
% 9.18/6.74 (((~![B: $i] : ((~less_3(B)) | (v84(constB162, B) <=> v123(constB162, B)))) | ((~less_3(bitIndex0)) | (v84(constB162, bitIndex0) <=> v123(constB162, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB162, B) <=> v123(constB162, B)))) | (~less_3(bitIndex0)) | (v84(constB162, bitIndex0) <=> v123(constB162, bitIndex0)))),
% 9.18/6.74 inference(rewrite,[status(thm)],[])).
% 9.18/6.74 tff(23069,plain,
% 9.18/6.74 ((~![B: $i] : ((~less_3(B)) | (v84(constB162, B) <=> v123(constB162, B)))) | ((~less_3(bitIndex0)) | (v84(constB162, bitIndex0) <=> v123(constB162, bitIndex0)))),
% 9.18/6.74 inference(quant_inst,[status(thm)],[])).
% 9.18/6.74 tff(23070,plain,
% 9.18/6.74 ((~![B: $i] : ((~less_3(B)) | (v84(constB162, B) <=> v123(constB162, B)))) | (~less_3(bitIndex0)) | (v84(constB162, bitIndex0) <=> v123(constB162, bitIndex0))),
% 9.18/6.74 inference(modus_ponens,[status(thm)],[23069, 23068])).
% 9.18/6.74 tff(23071,plain,
% 9.18/6.74 (v84(constB162, bitIndex0) <=> v123(constB162, bitIndex0)),
% 9.18/6.74 inference(unit_resolution,[status(thm)],[23070, 9772, 23023])).
% 9.18/6.74 tff(23072,plain,
% 9.18/6.74 (((~![B: $i] : ((~less_3(B)) | (v123(constB162, B) <=> v121(constB161, B)))) | ((~less_3(bitIndex0)) | (v123(constB162, bitIndex0) <=> v121(constB161, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB162, B) <=> v121(constB161, B)))) | (~less_3(bitIndex0)) | (v123(constB162, bitIndex0) <=> v121(constB161, bitIndex0)))),
% 9.18/6.74 inference(rewrite,[status(thm)],[])).
% 9.18/6.74 tff(23073,plain,
% 9.18/6.74 ((~![B: $i] : ((~less_3(B)) | (v123(constB162, B) <=> v121(constB161, B)))) | ((~less_3(bitIndex0)) | (v123(constB162, bitIndex0) <=> v121(constB161, bitIndex0)))),
% 9.18/6.74 inference(quant_inst,[status(thm)],[])).
% 9.18/6.74 tff(23074,plain,
% 9.18/6.74 ((~![B: $i] : ((~less_3(B)) | (v123(constB162, B) <=> v121(constB161, B)))) | (~less_3(bitIndex0)) | (v123(constB162, bitIndex0) <=> v121(constB161, bitIndex0))),
% 9.18/6.74 inference(modus_ponens,[status(thm)],[23073, 23072])).
% 9.18/6.74 tff(23075,plain,
% 9.18/6.74 (v123(constB162, bitIndex0) <=> v121(constB161, bitIndex0)),
% 9.18/6.74 inference(unit_resolution,[status(thm)],[23074, 9772, 23031])).
% 9.18/6.74 tff(23076,plain,
% 9.18/6.74 (((~![B: $i] : ((~less_3(B)) | (v121(constB161, B) <=> v124(constB161, B)))) | ((~less_3(bitIndex0)) | (v121(constB161, bitIndex0) <=> v124(constB161, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB161, B) <=> v124(constB161, B)))) | (~less_3(bitIndex0)) | (v121(constB161, bitIndex0) <=> v124(constB161, bitIndex0)))),
% 9.18/6.74 inference(rewrite,[status(thm)],[])).
% 9.18/6.74 tff(23077,plain,
% 9.18/6.74 ((~![B: $i] : ((~less_3(B)) | (v121(constB161, B) <=> v124(constB161, B)))) | ((~less_3(bitIndex0)) | (v121(constB161, bitIndex0) <=> v124(constB161, bitIndex0)))),
% 9.18/6.74 inference(quant_inst,[status(thm)],[])).
% 9.18/6.74 tff(23078,plain,
% 9.18/6.74 ((~![B: $i] : ((~less_3(B)) | (v121(constB161, B) <=> v124(constB161, B)))) | (~less_3(bitIndex0)) | (v121(constB161, bitIndex0) <=> v124(constB161, bitIndex0))),
% 9.18/6.74 inference(modus_ponens,[status(thm)],[23077, 23076])).
% 9.18/6.74 tff(23079,plain,
% 9.18/6.74 (v121(constB161, bitIndex0) <=> v124(constB161, bitIndex0)),
% 9.18/6.74 inference(unit_resolution,[status(thm)],[23078, 9772, 23039])).
% 9.18/6.74 tff(23080,plain,
% 9.18/6.74 (((~![B: $i] : ((~less_3(B)) | (v124(constB161, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v124(constB161, bitIndex0) <=> b011(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB161, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v124(constB161, bitIndex0) <=> b011(bitIndex0)))),
% 9.18/6.74 inference(rewrite,[status(thm)],[])).
% 9.18/6.74 tff(23081,plain,
% 9.18/6.74 ((~![B: $i] : ((~less_3(B)) | (v124(constB161, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v124(constB161, bitIndex0) <=> b011(bitIndex0)))),
% 9.18/6.74 inference(quant_inst,[status(thm)],[])).
% 9.18/6.74 tff(23082,plain,
% 9.18/6.74 ((~![B: $i] : ((~less_3(B)) | (v124(constB161, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v124(constB161, bitIndex0) <=> b011(bitIndex0))),
% 9.18/6.74 inference(modus_ponens,[status(thm)],[23081, 23080])).
% 9.18/6.74 tff(23083,plain,
% 9.18/6.74 (v124(constB161, bitIndex0) <=> b011(bitIndex0)),
% 9.18/6.74 inference(unit_resolution,[status(thm)],[23082, 9772, 23048])).
% 9.18/6.74 tff(23084,plain,
% 9.18/6.74 ((~(v124(constB161, bitIndex0) <=> b011(bitIndex0))) | v124(constB161, bitIndex0) | (~b011(bitIndex0))),
% 9.18/6.74 inference(tautology,[status(thm)],[])).
% 9.18/6.74 tff(23085,plain,
% 9.18/6.74 ((~(v124(constB161, bitIndex0) <=> b011(bitIndex0))) | v124(constB161, bitIndex0)),
% 9.18/6.74 inference(unit_resolution,[status(thm)],[23084, 10375])).
% 9.18/6.74 tff(23086,plain,
% 9.18/6.74 (v124(constB161, bitIndex0)),
% 9.18/6.74 inference(unit_resolution,[status(thm)],[23085, 23083])).
% 9.18/6.74 tff(23087,plain,
% 9.18/6.74 ((~(v121(constB161, bitIndex0) <=> v124(constB161, bitIndex0))) | v121(constB161, bitIndex0) | (~v124(constB161, bitIndex0))),
% 9.18/6.74 inference(tautology,[status(thm)],[])).
% 9.18/6.74 tff(23088,plain,
% 9.18/6.74 (v121(constB161, bitIndex0)),
% 9.18/6.74 inference(unit_resolution,[status(thm)],[23087, 23086, 23079])).
% 9.18/6.74 tff(23089,plain,
% 9.18/6.74 ((~(v123(constB162, bitIndex0) <=> v121(constB161, bitIndex0))) | v123(constB162, bitIndex0) | (~v121(constB161, bitIndex0))),
% 9.18/6.74 inference(tautology,[status(thm)],[])).
% 9.18/6.74 tff(23090,plain,
% 9.18/6.74 (v123(constB162, bitIndex0)),
% 9.18/6.74 inference(unit_resolution,[status(thm)],[23089, 23088, 23075])).
% 9.18/6.74 tff(23091,plain,
% 9.18/6.74 ((~(v84(constB162, bitIndex0) <=> v123(constB162, bitIndex0))) | v84(constB162, bitIndex0) | (~v123(constB162, bitIndex0))),
% 9.18/6.74 inference(tautology,[status(thm)],[])).
% 9.18/6.74 tff(23092,plain,
% 9.18/6.74 (v84(constB162, bitIndex0)),
% 9.18/6.74 inference(unit_resolution,[status(thm)],[23091, 23090, 23071])).
% 9.18/6.74 tff(23093,plain,
% 9.18/6.74 ((~(v84(constB163, bitIndex0) <=> v84(constB162, bitIndex0))) | v84(constB163, bitIndex0) | (~v84(constB162, bitIndex0))),
% 9.18/6.74 inference(tautology,[status(thm)],[])).
% 9.18/6.74 tff(23094,plain,
% 9.18/6.74 (v84(constB163, bitIndex0)),
% 9.18/6.74 inference(unit_resolution,[status(thm)],[23093, 23092, 23067])).
% 9.18/6.74 tff(23095,plain,
% 9.18/6.74 (((~![B: $i] : ((~less_3(B)) | (v84(constB163, B) <=> v84(constB162, B)))) | ((~less_3(bitIndex1)) | (v84(constB163, bitIndex1) <=> v84(constB162, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB163, B) <=> v84(constB162, B)))) | (~less_3(bitIndex1)) | (v84(constB163, bitIndex1) <=> v84(constB162, bitIndex1)))),
% 9.18/6.74 inference(rewrite,[status(thm)],[])).
% 9.18/6.74 tff(23096,plain,
% 9.18/6.74 ((~![B: $i] : ((~less_3(B)) | (v84(constB163, B) <=> v84(constB162, B)))) | ((~less_3(bitIndex1)) | (v84(constB163, bitIndex1) <=> v84(constB162, bitIndex1)))),
% 9.18/6.74 inference(quant_inst,[status(thm)],[])).
% 9.18/6.74 tff(23097,plain,
% 9.18/6.74 ((~![B: $i] : ((~less_3(B)) | (v84(constB163, B) <=> v84(constB162, B)))) | (~less_3(bitIndex1)) | (v84(constB163, bitIndex1) <=> v84(constB162, bitIndex1))),
% 9.18/6.74 inference(modus_ponens,[status(thm)],[23096, 23095])).
% 9.18/6.74 tff(23098,plain,
% 9.18/6.74 (v84(constB163, bitIndex1) <=> v84(constB162, bitIndex1)),
% 9.18/6.74 inference(unit_resolution,[status(thm)],[23097, 9785, 2361])).
% 9.18/6.74 tff(23099,plain,
% 9.18/6.74 (((~![B: $i] : ((~less_3(B)) | (v84(constB162, B) <=> v123(constB162, B)))) | ((~less_3(bitIndex1)) | (v84(constB162, bitIndex1) <=> v123(constB162, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB162, B) <=> v123(constB162, B)))) | (~less_3(bitIndex1)) | (v84(constB162, bitIndex1) <=> v123(constB162, bitIndex1)))),
% 9.18/6.74 inference(rewrite,[status(thm)],[])).
% 9.18/6.74 tff(23100,plain,
% 9.18/6.74 ((~![B: $i] : ((~less_3(B)) | (v84(constB162, B) <=> v123(constB162, B)))) | ((~less_3(bitIndex1)) | (v84(constB162, bitIndex1) <=> v123(constB162, bitIndex1)))),
% 9.18/6.74 inference(quant_inst,[status(thm)],[])).
% 9.18/6.74 tff(23101,plain,
% 9.18/6.74 ((~![B: $i] : ((~less_3(B)) | (v84(constB162, B) <=> v123(constB162, B)))) | (~less_3(bitIndex1)) | (v84(constB162, bitIndex1) <=> v123(constB162, bitIndex1))),
% 9.18/6.74 inference(modus_ponens,[status(thm)],[23100, 23099])).
% 9.18/6.74 tff(23102,plain,
% 9.18/6.74 (v84(constB162, bitIndex1) <=> v123(constB162, bitIndex1)),
% 9.18/6.74 inference(unit_resolution,[status(thm)],[23101, 9785, 23023])).
% 9.18/6.74 tff(23103,plain,
% 9.18/6.74 (((~![B: $i] : ((~less_3(B)) | (v123(constB162, B) <=> v121(constB161, B)))) | ((~less_3(bitIndex1)) | (v123(constB162, bitIndex1) <=> v121(constB161, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB162, B) <=> v121(constB161, B)))) | (~less_3(bitIndex1)) | (v123(constB162, bitIndex1) <=> v121(constB161, bitIndex1)))),
% 9.18/6.74 inference(rewrite,[status(thm)],[])).
% 9.18/6.74 tff(23104,plain,
% 9.18/6.74 ((~![B: $i] : ((~less_3(B)) | (v123(constB162, B) <=> v121(constB161, B)))) | ((~less_3(bitIndex1)) | (v123(constB162, bitIndex1) <=> v121(constB161, bitIndex1)))),
% 9.18/6.74 inference(quant_inst,[status(thm)],[])).
% 9.18/6.74 tff(23105,plain,
% 9.18/6.74 ((~![B: $i] : ((~less_3(B)) | (v123(constB162, B) <=> v121(constB161, B)))) | (~less_3(bitIndex1)) | (v123(constB162, bitIndex1) <=> v121(constB161, bitIndex1))),
% 9.18/6.74 inference(modus_ponens,[status(thm)],[23104, 23103])).
% 9.18/6.74 tff(23106,plain,
% 9.18/6.74 (v123(constB162, bitIndex1) <=> v121(constB161, bitIndex1)),
% 9.18/6.74 inference(unit_resolution,[status(thm)],[23105, 9785, 23031])).
% 9.18/6.74 tff(23107,plain,
% 9.18/6.74 (((~![B: $i] : ((~less_3(B)) | (v121(constB161, B) <=> v124(constB161, B)))) | ((~less_3(bitIndex1)) | (v121(constB161, bitIndex1) <=> v124(constB161, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB161, B) <=> v124(constB161, B)))) | (~less_3(bitIndex1)) | (v121(constB161, bitIndex1) <=> v124(constB161, bitIndex1)))),
% 9.18/6.74 inference(rewrite,[status(thm)],[])).
% 9.18/6.74 tff(23108,plain,
% 9.18/6.74 ((~![B: $i] : ((~less_3(B)) | (v121(constB161, B) <=> v124(constB161, B)))) | ((~less_3(bitIndex1)) | (v121(constB161, bitIndex1) <=> v124(constB161, bitIndex1)))),
% 9.18/6.74 inference(quant_inst,[status(thm)],[])).
% 9.18/6.74 tff(23109,plain,
% 9.18/6.74 ((~![B: $i] : ((~less_3(B)) | (v121(constB161, B) <=> v124(constB161, B)))) | (~less_3(bitIndex1)) | (v121(constB161, bitIndex1) <=> v124(constB161, bitIndex1))),
% 9.18/6.74 inference(modus_ponens,[status(thm)],[23108, 23107])).
% 9.18/6.74 tff(23110,plain,
% 9.18/6.74 (v121(constB161, bitIndex1) <=> v124(constB161, bitIndex1)),
% 9.18/6.74 inference(unit_resolution,[status(thm)],[23109, 9785, 23039])).
% 9.18/6.74 tff(23111,plain,
% 9.18/6.74 (((~![B: $i] : ((~less_3(B)) | (v124(constB161, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v124(constB161, bitIndex1) <=> b011(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB161, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v124(constB161, bitIndex1) <=> b011(bitIndex1)))),
% 9.18/6.74 inference(rewrite,[status(thm)],[])).
% 9.18/6.74 tff(23112,plain,
% 9.18/6.74 ((~![B: $i] : ((~less_3(B)) | (v124(constB161, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v124(constB161, bitIndex1) <=> b011(bitIndex1)))),
% 9.18/6.74 inference(quant_inst,[status(thm)],[])).
% 9.18/6.74 tff(23113,plain,
% 9.18/6.74 ((~![B: $i] : ((~less_3(B)) | (v124(constB161, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v124(constB161, bitIndex1) <=> b011(bitIndex1))),
% 9.18/6.74 inference(modus_ponens,[status(thm)],[23112, 23111])).
% 9.18/6.74 tff(23114,plain,
% 9.18/6.74 (v124(constB161, bitIndex1) <=> b011(bitIndex1)),
% 9.18/6.74 inference(unit_resolution,[status(thm)],[23113, 9785, 23048])).
% 9.18/6.74 tff(23115,plain,
% 9.18/6.74 ((~(v124(constB161, bitIndex1) <=> b011(bitIndex1))) | v124(constB161, bitIndex1) | (~b011(bitIndex1))),
% 9.18/6.74 inference(tautology,[status(thm)],[])).
% 9.18/6.74 tff(23116,plain,
% 9.18/6.74 ((~(v124(constB161, bitIndex1) <=> b011(bitIndex1))) | v124(constB161, bitIndex1)),
% 9.18/6.74 inference(unit_resolution,[status(thm)],[23115, 10409])).
% 9.18/6.74 tff(23117,plain,
% 9.18/6.74 (v124(constB161, bitIndex1)),
% 9.18/6.74 inference(unit_resolution,[status(thm)],[23116, 23114])).
% 9.18/6.74 tff(23118,plain,
% 9.18/6.74 ((~(v121(constB161, bitIndex1) <=> v124(constB161, bitIndex1))) | v121(constB161, bitIndex1) | (~v124(constB161, bitIndex1))),
% 9.18/6.74 inference(tautology,[status(thm)],[])).
% 9.18/6.74 tff(23119,plain,
% 9.18/6.74 (v121(constB161, bitIndex1)),
% 9.18/6.74 inference(unit_resolution,[status(thm)],[23118, 23117, 23110])).
% 9.18/6.74 tff(23120,plain,
% 9.18/6.74 ((~(v123(constB162, bitIndex1) <=> v121(constB161, bitIndex1))) | v123(constB162, bitIndex1) | (~v121(constB161, bitIndex1))),
% 9.18/6.74 inference(tautology,[status(thm)],[])).
% 9.18/6.74 tff(23121,plain,
% 9.18/6.74 (v123(constB162, bitIndex1)),
% 9.18/6.74 inference(unit_resolution,[status(thm)],[23120, 23119, 23106])).
% 9.18/6.74 tff(23122,plain,
% 9.18/6.74 ((~(v84(constB162, bitIndex1) <=> v123(constB162, bitIndex1))) | v84(constB162, bitIndex1) | (~v123(constB162, bitIndex1))),
% 9.18/6.74 inference(tautology,[status(thm)],[])).
% 9.18/6.74 tff(23123,plain,
% 9.18/6.74 (v84(constB162, bitIndex1)),
% 9.18/6.74 inference(unit_resolution,[status(thm)],[23122, 23121, 23102])).
% 9.18/6.74 tff(23124,plain,
% 9.18/6.74 ((~(v84(constB163, bitIndex1) <=> v84(constB162, bitIndex1))) | v84(constB163, bitIndex1) | (~v84(constB162, bitIndex1))),
% 9.18/6.74 inference(tautology,[status(thm)],[])).
% 9.18/6.74 tff(23125,plain,
% 9.18/6.74 (v84(constB163, bitIndex1)),
% 9.18/6.74 inference(unit_resolution,[status(thm)],[23124, 23123, 23098])).
% 9.18/6.74 tff(23126,plain,
% 9.18/6.74 ((~(v84(constB163, bitIndex2) | (~v84(constB163, bitIndex1)) | (~v84(constB163, bitIndex0)))) | v84(constB163, bitIndex2) | (~v84(constB163, bitIndex1)) | (~v84(constB163, bitIndex0))),
% 9.18/6.74 inference(tautology,[status(thm)],[])).
% 9.18/6.74 tff(23127,plain,
% 9.18/6.74 (~(v84(constB163, bitIndex2) | (~v84(constB163, bitIndex1)) | (~v84(constB163, bitIndex0)))),
% 9.18/6.74 inference(unit_resolution,[status(thm)],[23126, 23125, 23094, 23063])).
% 9.18/6.74 tff(23128,plain,
% 9.18/6.74 ((~(v116(constB163) <=> (~(v84(constB163, bitIndex2) | (~v84(constB163, bitIndex1)) | (~v84(constB163, bitIndex0)))))) | v116(constB163) | (v84(constB163, bitIndex2) | (~v84(constB163, bitIndex1)) | (~v84(constB163, bitIndex0)))),
% 9.18/6.74 inference(tautology,[status(thm)],[])).
% 9.18/6.74 tff(23129,plain,
% 9.18/6.74 (v116(constB163)),
% 9.18/6.74 inference(unit_resolution,[status(thm)],[23128, 23127, 2333])).
% 9.18/6.74 tff(23130,plain,
% 9.18/6.74 ((v111(constB163) | v116(constB163)) | (~v116(constB163))),
% 9.18/6.74 inference(tautology,[status(thm)],[])).
% 9.18/6.74 tff(23131,plain,
% 9.18/6.74 (v111(constB163) | v116(constB163)),
% 9.18/6.74 inference(unit_resolution,[status(thm)],[23130, 23129])).
% 9.18/6.74 tff(23132,plain,
% 9.18/6.74 ((~(v110(constB163) <=> (v111(constB163) | v116(constB163)))) | v110(constB163) | (~(v111(constB163) | v116(constB163)))),
% 9.18/6.74 inference(tautology,[status(thm)],[])).
% 9.18/6.74 tff(23133,plain,
% 9.18/6.74 (v110(constB163)),
% 9.18/6.74 inference(unit_resolution,[status(thm)],[23132, 23131, 2331])).
% 9.18/6.74 tff(23134,plain,
% 9.18/6.74 ((v110(constB163) | v117(constB163)) | (~v110(constB163))),
% 9.18/6.74 inference(tautology,[status(thm)],[])).
% 9.18/6.74 tff(23135,plain,
% 9.18/6.74 (v110(constB163) | v117(constB163)),
% 9.18/6.74 inference(unit_resolution,[status(thm)],[23134, 23133])).
% 9.18/6.74 tff(23136,plain,
% 9.18/6.74 ((~(v109(constB163) <=> (v110(constB163) | v117(constB163)))) | v109(constB163) | (~(v110(constB163) | v117(constB163)))),
% 9.18/6.74 inference(tautology,[status(thm)],[])).
% 9.18/6.74 tff(23137,plain,
% 9.18/6.74 (v109(constB163)),
% 9.18/6.74 inference(unit_resolution,[status(thm)],[23136, 23135, 2329])).
% 9.18/6.74 tff(23138,plain,
% 9.18/6.74 ((v109(constB163) | v118(constB163)) | (~v109(constB163))),
% 9.18/6.74 inference(tautology,[status(thm)],[])).
% 9.18/6.74 tff(23139,plain,
% 9.18/6.74 (v109(constB163) | v118(constB163)),
% 9.18/6.74 inference(unit_resolution,[status(thm)],[23138, 23137])).
% 9.18/6.74 tff(23140,plain,
% 9.18/6.74 ((~(v108(constB163) <=> (v109(constB163) | v118(constB163)))) | v108(constB163) | (~(v109(constB163) | v118(constB163)))),
% 9.18/6.74 inference(tautology,[status(thm)],[])).
% 9.18/6.74 tff(23141,plain,
% 9.18/6.74 (v108(constB163)),
% 9.18/6.74 inference(unit_resolution,[status(thm)],[23140, 23139, 2327])).
% 9.18/6.74 tff(23142,plain,
% 9.18/6.74 ((v108(constB163) | v119(constB163)) | (~v108(constB163))),
% 9.18/6.74 inference(tautology,[status(thm)],[])).
% 9.18/6.74 tff(23143,plain,
% 9.18/6.74 (v108(constB163) | v119(constB163)),
% 9.18/6.74 inference(unit_resolution,[status(thm)],[23142, 23141])).
% 9.18/6.74 tff(23144,plain,
% 9.18/6.74 ((~(v107(constB163) <=> (v108(constB163) | v119(constB163)))) | v107(constB163) | (~(v108(constB163) | v119(constB163)))),
% 9.18/6.74 inference(tautology,[status(thm)],[])).
% 9.18/6.74 tff(23145,plain,
% 9.18/6.74 (v107(constB163)),
% 9.18/6.74 inference(unit_resolution,[status(thm)],[23144, 23143, 2325])).
% 9.18/6.74 tff(23146,plain,
% 9.18/6.74 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB163)) <=> v105(constB163))),
% 9.18/6.74 inference(quant_inst,[status(thm)],[])).
% 9.18/6.74 tff(23147,plain,
% 9.18/6.74 ((~v120(constB163)) <=> v105(constB163)),
% 9.18/6.74 inference(unit_resolution,[status(thm)],[23146, 9842])).
% 9.18/6.74 tff(23148,plain,
% 9.18/6.74 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB163) <=> v26(constB163))),
% 9.18/6.74 inference(quant_inst,[status(thm)],[])).
% 9.18/6.74 tff(23149,plain,
% 9.18/6.74 (v105(constB163) <=> v26(constB163)),
% 9.18/6.74 inference(unit_resolution,[status(thm)],[23148, 9854])).
% 9.18/6.74 tff(23150,plain,
% 9.18/6.74 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB163))),
% 9.18/6.74 inference(quant_inst,[status(thm)],[])).
% 9.18/6.74 tff(23151,plain,
% 9.18/6.74 (~v26(constB163)),
% 9.18/6.74 inference(unit_resolution,[status(thm)],[23150, 9866])).
% 9.18/6.74 tff(23152,plain,
% 9.18/6.74 ((~(v105(constB163) <=> v26(constB163))) | (~v105(constB163)) | v26(constB163)),
% 9.18/6.74 inference(tautology,[status(thm)],[])).
% 9.18/6.74 tff(23153,plain,
% 9.18/6.74 ((~(v105(constB163) <=> v26(constB163))) | (~v105(constB163))),
% 9.18/6.74 inference(unit_resolution,[status(thm)],[23152, 23151])).
% 9.18/6.74 tff(23154,plain,
% 9.18/6.74 (~v105(constB163)),
% 9.18/6.74 inference(unit_resolution,[status(thm)],[23153, 23149])).
% 9.18/6.74 tff(23155,plain,
% 9.18/6.74 ((~((~v120(constB163)) <=> v105(constB163))) | v120(constB163) | v105(constB163)),
% 9.18/6.74 inference(tautology,[status(thm)],[])).
% 9.18/6.74 tff(23156,plain,
% 9.18/6.74 ((~((~v120(constB163)) <=> v105(constB163))) | v120(constB163)),
% 9.18/6.74 inference(unit_resolution,[status(thm)],[23155, 23154])).
% 9.18/6.74 tff(23157,plain,
% 9.18/6.74 (v120(constB163)),
% 9.18/6.74 inference(unit_resolution,[status(thm)],[23156, 23147])).
% 9.18/6.74 tff(23158,plain,
% 9.18/6.74 ((~((~v107(constB163)) | (~v120(constB163)))) | (~v107(constB163)) | (~v120(constB163))),
% 9.18/6.74 inference(tautology,[status(thm)],[])).
% 9.18/6.74 tff(23159,plain,
% 9.18/6.74 ((~((~v107(constB163)) | (~v120(constB163)))) | (~v107(constB163))),
% 9.18/6.74 inference(unit_resolution,[status(thm)],[23158, 23157])).
% 9.18/6.74 tff(23160,plain,
% 9.18/6.74 (~((~v107(constB163)) | (~v120(constB163)))),
% 9.18/6.74 inference(unit_resolution,[status(thm)],[23159, 23145])).
% 9.18/6.74 tff(23161,plain,
% 9.18/6.74 ((~(v106(constB163) <=> (~((~v107(constB163)) | (~v120(constB163)))))) | v106(constB163) | ((~v107(constB163)) | (~v120(constB163)))),
% 9.18/6.74 inference(tautology,[status(thm)],[])).
% 9.18/6.74 tff(23162,plain,
% 9.18/6.74 (v106(constB163)),
% 9.18/6.74 inference(unit_resolution,[status(thm)],[23161, 23160, 2323])).
% 9.18/6.74 tff(23163,plain,
% 9.18/6.74 ((v105(constB163) | v106(constB163)) | (~v106(constB163))),
% 9.18/6.74 inference(tautology,[status(thm)],[])).
% 9.18/6.74 tff(23164,plain,
% 9.18/6.74 (v105(constB163) | v106(constB163)),
% 9.18/6.74 inference(unit_resolution,[status(thm)],[23163, 23162])).
% 9.18/6.74 tff(23165,plain,
% 9.18/6.74 ((~(v102(constB163) <=> (v105(constB163) | v106(constB163)))) | v102(constB163) | (~(v105(constB163) | v106(constB163)))),
% 9.18/6.74 inference(tautology,[status(thm)],[])).
% 9.18/6.74 tff(23166,plain,
% 9.18/6.74 (v102(constB163)),
% 9.18/6.74 inference(unit_resolution,[status(thm)],[23165, 23164, 2321])).
% 9.18/6.74 tff(23167,plain,
% 9.18/6.74 ((~(v104(constB164) <=> v102(constB163))) | v104(constB164) | (~v102(constB163))),
% 9.18/6.74 inference(tautology,[status(thm)],[])).
% 9.18/6.74 tff(23168,plain,
% 9.18/6.74 (v104(constB164)),
% 9.18/6.74 inference(unit_resolution,[status(thm)],[23167, 23166, 2319])).
% 9.18/6.74 tff(23169,plain,
% 9.18/6.74 ((~((~v104(constB164)) | (~v95(constB164)))) | (~v104(constB164)) | (~v95(constB164))),
% 9.18/6.74 inference(tautology,[status(thm)],[])).
% 9.18/6.74 tff(23170,plain,
% 9.18/6.74 (~((~v104(constB164)) | (~v95(constB164)))),
% 9.18/6.74 inference(unit_resolution,[status(thm)],[23169, 23168, 2315])).
% 9.18/6.74 tff(23171,plain,
% 9.18/6.74 ((~(v94(constB164) <=> (~((~v104(constB164)) | (~v95(constB164)))))) | v94(constB164) | ((~v104(constB164)) | (~v95(constB164)))),
% 9.18/6.74 inference(tautology,[status(thm)],[])).
% 9.18/6.74 tff(23172,plain,
% 9.18/6.74 (v94(constB164)),
% 9.18/6.74 inference(unit_resolution,[status(thm)],[23171, 23170, 2284])).
% 9.18/6.74 tff(23173,plain,
% 9.18/6.74 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB164)) | ![B: $i] : ((~less_3(B)) | (v84(constB164, B) <=> v123(constB164, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB164)) | ![B: $i] : ((~less_3(B)) | (v84(constB164, B) <=> v123(constB164, B))))),
% 9.18/6.74 inference(rewrite,[status(thm)],[])).
% 9.18/6.74 tff(23174,plain,
% 9.18/6.74 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB164)) | ![B: $i] : ((~less_3(B)) | (v84(constB164, B) <=> v123(constB164, B))))),
% 9.18/6.74 inference(quant_inst,[status(thm)],[])).
% 9.18/6.74 tff(23175,plain,
% 9.18/6.74 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB164)) | ![B: $i] : ((~less_3(B)) | (v84(constB164, B) <=> v123(constB164, B)))),
% 9.18/6.74 inference(modus_ponens,[status(thm)],[23174, 23173])).
% 9.18/6.74 tff(23176,plain,
% 9.18/6.74 ((~v94(constB164)) | ![B: $i] : ((~less_3(B)) | (v84(constB164, B) <=> v123(constB164, B)))),
% 9.18/6.74 inference(unit_resolution,[status(thm)],[23175, 9902])).
% 9.18/6.74 tff(23177,plain,
% 9.18/6.74 (![B: $i] : ((~less_3(B)) | (v84(constB164, B) <=> v123(constB164, B)))),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[23176, 23172])).
% 9.18/6.75 tff(23178,plain,
% 9.18/6.75 (((~![B: $i] : ((~less_3(B)) | (v84(constB164, B) <=> v123(constB164, B)))) | ((~less_3(bitIndex2)) | (v84(constB164, bitIndex2) <=> v123(constB164, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB164, B) <=> v123(constB164, B)))) | (~less_3(bitIndex2)) | (v84(constB164, bitIndex2) <=> v123(constB164, bitIndex2)))),
% 9.18/6.75 inference(rewrite,[status(thm)],[])).
% 9.18/6.75 tff(23179,plain,
% 9.18/6.75 ((~![B: $i] : ((~less_3(B)) | (v84(constB164, B) <=> v123(constB164, B)))) | ((~less_3(bitIndex2)) | (v84(constB164, bitIndex2) <=> v123(constB164, bitIndex2)))),
% 9.18/6.75 inference(quant_inst,[status(thm)],[])).
% 9.18/6.75 tff(23180,plain,
% 9.18/6.75 ((~![B: $i] : ((~less_3(B)) | (v84(constB164, B) <=> v123(constB164, B)))) | (~less_3(bitIndex2)) | (v84(constB164, bitIndex2) <=> v123(constB164, bitIndex2))),
% 9.18/6.75 inference(modus_ponens,[status(thm)],[23179, 23178])).
% 9.18/6.75 tff(23181,plain,
% 9.18/6.75 (v84(constB164, bitIndex2) <=> v123(constB164, bitIndex2)),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[23180, 832, 23177])).
% 9.18/6.75 tff(23182,plain,
% 9.18/6.75 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB163, constB164)) | ![B: $i] : ((~less_3(B)) | (v123(constB164, B) <=> v121(constB163, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB163, constB164)) | ![B: $i] : ((~less_3(B)) | (v123(constB164, B) <=> v121(constB163, B))))),
% 9.18/6.75 inference(rewrite,[status(thm)],[])).
% 9.18/6.75 tff(23183,plain,
% 9.18/6.75 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB163, constB164)) | ![B: $i] : ((~less_3(B)) | (v123(constB164, B) <=> v121(constB163, B))))),
% 9.18/6.75 inference(quant_inst,[status(thm)],[])).
% 9.18/6.75 tff(23184,plain,
% 9.18/6.75 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB163, constB164)) | ![B: $i] : ((~less_3(B)) | (v123(constB164, B) <=> v121(constB163, B)))),
% 9.18/6.75 inference(modus_ponens,[status(thm)],[23183, 23182])).
% 9.18/6.75 tff(23185,plain,
% 9.18/6.75 (![B: $i] : ((~less_3(B)) | (v123(constB164, B) <=> v121(constB163, B)))),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[23184, 2280, 9924])).
% 9.18/6.75 tff(23186,plain,
% 9.18/6.75 (((~![B: $i] : ((~less_3(B)) | (v123(constB164, B) <=> v121(constB163, B)))) | ((~less_3(bitIndex2)) | (v123(constB164, bitIndex2) <=> v121(constB163, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB164, B) <=> v121(constB163, B)))) | (~less_3(bitIndex2)) | (v123(constB164, bitIndex2) <=> v121(constB163, bitIndex2)))),
% 9.18/6.75 inference(rewrite,[status(thm)],[])).
% 9.18/6.75 tff(23187,plain,
% 9.18/6.75 ((~![B: $i] : ((~less_3(B)) | (v123(constB164, B) <=> v121(constB163, B)))) | ((~less_3(bitIndex2)) | (v123(constB164, bitIndex2) <=> v121(constB163, bitIndex2)))),
% 9.18/6.75 inference(quant_inst,[status(thm)],[])).
% 9.18/6.75 tff(23188,plain,
% 9.18/6.75 ((~![B: $i] : ((~less_3(B)) | (v123(constB164, B) <=> v121(constB163, B)))) | (~less_3(bitIndex2)) | (v123(constB164, bitIndex2) <=> v121(constB163, bitIndex2))),
% 9.18/6.75 inference(modus_ponens,[status(thm)],[23187, 23186])).
% 9.18/6.75 tff(23189,plain,
% 9.18/6.75 (v123(constB164, bitIndex2) <=> v121(constB163, bitIndex2)),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[23188, 832, 23185])).
% 9.18/6.75 tff(23190,plain,
% 9.18/6.75 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB163) | ![B: $i] : ((~less_3(B)) | (v121(constB163, B) <=> v124(constB163, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB163) | ![B: $i] : ((~less_3(B)) | (v121(constB163, B) <=> v124(constB163, B))))),
% 9.18/6.75 inference(rewrite,[status(thm)],[])).
% 9.18/6.75 tff(23191,plain,
% 9.18/6.75 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB163) | ![B: $i] : ((~less_3(B)) | (v121(constB163, B) <=> v124(constB163, B))))),
% 9.18/6.75 inference(quant_inst,[status(thm)],[])).
% 9.18/6.75 tff(23192,plain,
% 9.18/6.75 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB163) | ![B: $i] : ((~less_3(B)) | (v121(constB163, B) <=> v124(constB163, B)))),
% 9.18/6.75 inference(modus_ponens,[status(thm)],[23191, 23190])).
% 9.18/6.75 tff(23193,plain,
% 9.18/6.75 (![B: $i] : ((~less_3(B)) | (v121(constB163, B) <=> v124(constB163, B)))),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[23192, 9945, 23154])).
% 9.18/6.75 tff(23194,plain,
% 9.18/6.75 (((~![B: $i] : ((~less_3(B)) | (v121(constB163, B) <=> v124(constB163, B)))) | ((~less_3(bitIndex2)) | (v121(constB163, bitIndex2) <=> v124(constB163, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB163, B) <=> v124(constB163, B)))) | (~less_3(bitIndex2)) | (v121(constB163, bitIndex2) <=> v124(constB163, bitIndex2)))),
% 9.18/6.75 inference(rewrite,[status(thm)],[])).
% 9.18/6.75 tff(23195,plain,
% 9.18/6.75 ((~![B: $i] : ((~less_3(B)) | (v121(constB163, B) <=> v124(constB163, B)))) | ((~less_3(bitIndex2)) | (v121(constB163, bitIndex2) <=> v124(constB163, bitIndex2)))),
% 9.18/6.75 inference(quant_inst,[status(thm)],[])).
% 9.18/6.75 tff(23196,plain,
% 9.18/6.75 ((~![B: $i] : ((~less_3(B)) | (v121(constB163, B) <=> v124(constB163, B)))) | (~less_3(bitIndex2)) | (v121(constB163, bitIndex2) <=> v124(constB163, bitIndex2))),
% 9.18/6.75 inference(modus_ponens,[status(thm)],[23195, 23194])).
% 9.18/6.75 tff(23197,plain,
% 9.18/6.75 (v121(constB163, bitIndex2) <=> v124(constB163, bitIndex2)),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[23196, 832, 23193])).
% 9.18/6.75 tff(23198,plain,
% 9.18/6.75 (((~![VarCurr: $i] : ((~v116(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b100(B))))) | ((~v116(constB163)) | ![B: $i] : ((~less_3(B)) | (v124(constB163, B) <=> b100(B))))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b100(B))))) | (~v116(constB163)) | ![B: $i] : ((~less_3(B)) | (v124(constB163, B) <=> b100(B))))),
% 9.18/6.75 inference(rewrite,[status(thm)],[])).
% 9.18/6.75 tff(23199,plain,
% 9.18/6.75 ((~![VarCurr: $i] : ((~v116(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b100(B))))) | ((~v116(constB163)) | ![B: $i] : ((~less_3(B)) | (v124(constB163, B) <=> b100(B))))),
% 9.18/6.75 inference(quant_inst,[status(thm)],[])).
% 9.18/6.75 tff(23200,plain,
% 9.18/6.75 ((~![VarCurr: $i] : ((~v116(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b100(B))))) | (~v116(constB163)) | ![B: $i] : ((~less_3(B)) | (v124(constB163, B) <=> b100(B)))),
% 9.18/6.75 inference(modus_ponens,[status(thm)],[23199, 23198])).
% 9.18/6.75 tff(23201,plain,
% 9.18/6.75 ((~v116(constB163)) | ![B: $i] : ((~less_3(B)) | (v124(constB163, B) <=> b100(B)))),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[23200, 10505])).
% 9.18/6.75 tff(23202,plain,
% 9.18/6.75 (![B: $i] : ((~less_3(B)) | (v124(constB163, B) <=> b100(B)))),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[23201, 23129])).
% 9.18/6.75 tff(23203,plain,
% 9.18/6.75 (((~![B: $i] : ((~less_3(B)) | (v124(constB163, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v124(constB163, bitIndex2) <=> b100(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB163, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v124(constB163, bitIndex2) <=> b100(bitIndex2)))),
% 9.18/6.75 inference(rewrite,[status(thm)],[])).
% 9.18/6.75 tff(23204,plain,
% 9.18/6.75 ((~![B: $i] : ((~less_3(B)) | (v124(constB163, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v124(constB163, bitIndex2) <=> b100(bitIndex2)))),
% 9.18/6.75 inference(quant_inst,[status(thm)],[])).
% 9.18/6.75 tff(23205,plain,
% 9.18/6.75 ((~![B: $i] : ((~less_3(B)) | (v124(constB163, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v124(constB163, bitIndex2) <=> b100(bitIndex2))),
% 9.18/6.75 inference(modus_ponens,[status(thm)],[23204, 23203])).
% 9.18/6.75 tff(23206,plain,
% 9.18/6.75 (v124(constB163, bitIndex2) <=> b100(bitIndex2)),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[23205, 832, 23202])).
% 9.18/6.75 tff(23207,plain,
% 9.18/6.75 ((~(v124(constB163, bitIndex2) <=> b100(bitIndex2))) | v124(constB163, bitIndex2) | (~b100(bitIndex2))),
% 9.18/6.75 inference(tautology,[status(thm)],[])).
% 9.18/6.75 tff(23208,plain,
% 9.18/6.75 ((~(v124(constB163, bitIndex2) <=> b100(bitIndex2))) | v124(constB163, bitIndex2)),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[23207, 10517])).
% 9.18/6.75 tff(23209,plain,
% 9.18/6.75 (v124(constB163, bitIndex2)),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[23208, 23206])).
% 9.18/6.75 tff(23210,plain,
% 9.18/6.75 ((~(v121(constB163, bitIndex2) <=> v124(constB163, bitIndex2))) | v121(constB163, bitIndex2) | (~v124(constB163, bitIndex2))),
% 9.18/6.75 inference(tautology,[status(thm)],[])).
% 9.18/6.75 tff(23211,plain,
% 9.18/6.75 (v121(constB163, bitIndex2)),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[23210, 23209, 23197])).
% 9.18/6.75 tff(23212,plain,
% 9.18/6.75 ((~(v123(constB164, bitIndex2) <=> v121(constB163, bitIndex2))) | v123(constB164, bitIndex2) | (~v121(constB163, bitIndex2))),
% 9.18/6.75 inference(tautology,[status(thm)],[])).
% 9.18/6.75 tff(23213,plain,
% 9.18/6.75 (v123(constB164, bitIndex2)),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[23212, 23211, 23189])).
% 9.18/6.75 tff(23214,plain,
% 9.18/6.75 ((~(v84(constB164, bitIndex2) <=> v123(constB164, bitIndex2))) | v84(constB164, bitIndex2) | (~v123(constB164, bitIndex2))),
% 9.18/6.75 inference(tautology,[status(thm)],[])).
% 9.18/6.75 tff(23215,plain,
% 9.18/6.75 (v84(constB164, bitIndex2)),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[23214, 23213, 23181])).
% 9.18/6.75 tff(23216,plain,
% 9.18/6.75 ((~(v84(constB165, bitIndex2) <=> v84(constB164, bitIndex2))) | v84(constB165, bitIndex2) | (~v84(constB164, bitIndex2))),
% 9.18/6.75 inference(tautology,[status(thm)],[])).
% 9.18/6.75 tff(23217,plain,
% 9.18/6.75 (v84(constB165, bitIndex2)),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[23216, 23215, 2277])).
% 9.18/6.75 tff(23218,plain,
% 9.18/6.75 (((~![B: $i] : ((~less_3(B)) | (v84(constB165, B) <=> v84(constB164, B)))) | ((~less_3(bitIndex0)) | (v84(constB165, bitIndex0) <=> v84(constB164, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB165, B) <=> v84(constB164, B)))) | (~less_3(bitIndex0)) | (v84(constB165, bitIndex0) <=> v84(constB164, bitIndex0)))),
% 9.18/6.75 inference(rewrite,[status(thm)],[])).
% 9.18/6.75 tff(23219,plain,
% 9.18/6.75 ((~![B: $i] : ((~less_3(B)) | (v84(constB165, B) <=> v84(constB164, B)))) | ((~less_3(bitIndex0)) | (v84(constB165, bitIndex0) <=> v84(constB164, bitIndex0)))),
% 9.18/6.75 inference(quant_inst,[status(thm)],[])).
% 9.18/6.75 tff(23220,plain,
% 9.18/6.75 ((~![B: $i] : ((~less_3(B)) | (v84(constB165, B) <=> v84(constB164, B)))) | (~less_3(bitIndex0)) | (v84(constB165, bitIndex0) <=> v84(constB164, bitIndex0))),
% 9.18/6.75 inference(modus_ponens,[status(thm)],[23219, 23218])).
% 9.18/6.75 tff(23221,plain,
% 9.18/6.75 (v84(constB165, bitIndex0) <=> v84(constB164, bitIndex0)),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[23220, 9772, 2273])).
% 9.18/6.75 tff(23222,plain,
% 9.18/6.75 (((~![B: $i] : ((~less_3(B)) | (v84(constB164, B) <=> v123(constB164, B)))) | ((~less_3(bitIndex0)) | (v84(constB164, bitIndex0) <=> v123(constB164, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB164, B) <=> v123(constB164, B)))) | (~less_3(bitIndex0)) | (v84(constB164, bitIndex0) <=> v123(constB164, bitIndex0)))),
% 9.18/6.75 inference(rewrite,[status(thm)],[])).
% 9.18/6.75 tff(23223,plain,
% 9.18/6.75 ((~![B: $i] : ((~less_3(B)) | (v84(constB164, B) <=> v123(constB164, B)))) | ((~less_3(bitIndex0)) | (v84(constB164, bitIndex0) <=> v123(constB164, bitIndex0)))),
% 9.18/6.75 inference(quant_inst,[status(thm)],[])).
% 9.18/6.75 tff(23224,plain,
% 9.18/6.75 ((~![B: $i] : ((~less_3(B)) | (v84(constB164, B) <=> v123(constB164, B)))) | (~less_3(bitIndex0)) | (v84(constB164, bitIndex0) <=> v123(constB164, bitIndex0))),
% 9.18/6.75 inference(modus_ponens,[status(thm)],[23223, 23222])).
% 9.18/6.75 tff(23225,plain,
% 9.18/6.75 (v84(constB164, bitIndex0) <=> v123(constB164, bitIndex0)),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[23224, 9772, 23177])).
% 9.18/6.75 tff(23226,plain,
% 9.18/6.75 (((~![B: $i] : ((~less_3(B)) | (v123(constB164, B) <=> v121(constB163, B)))) | ((~less_3(bitIndex0)) | (v123(constB164, bitIndex0) <=> v121(constB163, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB164, B) <=> v121(constB163, B)))) | (~less_3(bitIndex0)) | (v123(constB164, bitIndex0) <=> v121(constB163, bitIndex0)))),
% 9.18/6.75 inference(rewrite,[status(thm)],[])).
% 9.18/6.75 tff(23227,plain,
% 9.18/6.75 ((~![B: $i] : ((~less_3(B)) | (v123(constB164, B) <=> v121(constB163, B)))) | ((~less_3(bitIndex0)) | (v123(constB164, bitIndex0) <=> v121(constB163, bitIndex0)))),
% 9.18/6.75 inference(quant_inst,[status(thm)],[])).
% 9.18/6.75 tff(23228,plain,
% 9.18/6.75 ((~![B: $i] : ((~less_3(B)) | (v123(constB164, B) <=> v121(constB163, B)))) | (~less_3(bitIndex0)) | (v123(constB164, bitIndex0) <=> v121(constB163, bitIndex0))),
% 9.18/6.75 inference(modus_ponens,[status(thm)],[23227, 23226])).
% 9.18/6.75 tff(23229,plain,
% 9.18/6.75 (v123(constB164, bitIndex0) <=> v121(constB163, bitIndex0)),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[23228, 9772, 23185])).
% 9.18/6.75 tff(23230,plain,
% 9.18/6.75 (((~![B: $i] : ((~less_3(B)) | (v121(constB163, B) <=> v124(constB163, B)))) | ((~less_3(bitIndex0)) | (v121(constB163, bitIndex0) <=> v124(constB163, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB163, B) <=> v124(constB163, B)))) | (~less_3(bitIndex0)) | (v121(constB163, bitIndex0) <=> v124(constB163, bitIndex0)))),
% 9.18/6.75 inference(rewrite,[status(thm)],[])).
% 9.18/6.75 tff(23231,plain,
% 9.18/6.75 ((~![B: $i] : ((~less_3(B)) | (v121(constB163, B) <=> v124(constB163, B)))) | ((~less_3(bitIndex0)) | (v121(constB163, bitIndex0) <=> v124(constB163, bitIndex0)))),
% 9.18/6.75 inference(quant_inst,[status(thm)],[])).
% 9.18/6.75 tff(23232,plain,
% 9.18/6.75 ((~![B: $i] : ((~less_3(B)) | (v121(constB163, B) <=> v124(constB163, B)))) | (~less_3(bitIndex0)) | (v121(constB163, bitIndex0) <=> v124(constB163, bitIndex0))),
% 9.18/6.75 inference(modus_ponens,[status(thm)],[23231, 23230])).
% 9.18/6.75 tff(23233,plain,
% 9.18/6.75 (v121(constB163, bitIndex0) <=> v124(constB163, bitIndex0)),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[23232, 9772, 23193])).
% 9.18/6.75 tff(23234,plain,
% 9.18/6.75 (((~![B: $i] : ((~less_3(B)) | (v124(constB163, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v124(constB163, bitIndex0) <=> b100(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB163, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v124(constB163, bitIndex0) <=> b100(bitIndex0)))),
% 9.18/6.75 inference(rewrite,[status(thm)],[])).
% 9.18/6.75 tff(23235,plain,
% 9.18/6.75 ((~![B: $i] : ((~less_3(B)) | (v124(constB163, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v124(constB163, bitIndex0) <=> b100(bitIndex0)))),
% 9.18/6.75 inference(quant_inst,[status(thm)],[])).
% 9.18/6.75 tff(23236,plain,
% 9.18/6.75 ((~![B: $i] : ((~less_3(B)) | (v124(constB163, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v124(constB163, bitIndex0) <=> b100(bitIndex0))),
% 9.18/6.75 inference(modus_ponens,[status(thm)],[23235, 23234])).
% 9.18/6.75 tff(23237,plain,
% 9.18/6.75 (v124(constB163, bitIndex0) <=> b100(bitIndex0)),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[23236, 9772, 23202])).
% 9.18/6.75 tff(23238,plain,
% 9.18/6.75 ((~(v124(constB163, bitIndex0) <=> b100(bitIndex0))) | (~v124(constB163, bitIndex0)) | b100(bitIndex0)),
% 9.18/6.75 inference(tautology,[status(thm)],[])).
% 9.18/6.75 tff(23239,plain,
% 9.18/6.75 ((~(v124(constB163, bitIndex0) <=> b100(bitIndex0))) | (~v124(constB163, bitIndex0))),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[23238, 10551])).
% 9.18/6.75 tff(23240,plain,
% 9.18/6.75 (~v124(constB163, bitIndex0)),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[23239, 23237])).
% 9.18/6.75 tff(23241,plain,
% 9.18/6.75 ((~(v121(constB163, bitIndex0) <=> v124(constB163, bitIndex0))) | (~v121(constB163, bitIndex0)) | v124(constB163, bitIndex0)),
% 9.18/6.75 inference(tautology,[status(thm)],[])).
% 9.18/6.75 tff(23242,plain,
% 9.18/6.75 (~v121(constB163, bitIndex0)),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[23241, 23240, 23233])).
% 9.18/6.75 tff(23243,plain,
% 9.18/6.75 ((~(v123(constB164, bitIndex0) <=> v121(constB163, bitIndex0))) | (~v123(constB164, bitIndex0)) | v121(constB163, bitIndex0)),
% 9.18/6.75 inference(tautology,[status(thm)],[])).
% 9.18/6.75 tff(23244,plain,
% 9.18/6.75 (~v123(constB164, bitIndex0)),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[23243, 23242, 23229])).
% 9.18/6.75 tff(23245,plain,
% 9.18/6.75 ((~(v84(constB164, bitIndex0) <=> v123(constB164, bitIndex0))) | (~v84(constB164, bitIndex0)) | v123(constB164, bitIndex0)),
% 9.18/6.75 inference(tautology,[status(thm)],[])).
% 9.18/6.75 tff(23246,plain,
% 9.18/6.75 (~v84(constB164, bitIndex0)),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[23245, 23244, 23225])).
% 9.18/6.75 tff(23247,plain,
% 9.18/6.75 ((~(v84(constB165, bitIndex0) <=> v84(constB164, bitIndex0))) | (~v84(constB165, bitIndex0)) | v84(constB164, bitIndex0)),
% 9.18/6.75 inference(tautology,[status(thm)],[])).
% 9.18/6.75 tff(23248,plain,
% 9.18/6.75 (~v84(constB165, bitIndex0)),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[23247, 23246, 23221])).
% 9.18/6.75 tff(23249,plain,
% 9.18/6.75 (((~![B: $i] : ((~less_3(B)) | (v84(constB165, B) <=> v84(constB164, B)))) | ((~less_3(bitIndex1)) | (v84(constB165, bitIndex1) <=> v84(constB164, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB165, B) <=> v84(constB164, B)))) | (~less_3(bitIndex1)) | (v84(constB165, bitIndex1) <=> v84(constB164, bitIndex1)))),
% 9.18/6.75 inference(rewrite,[status(thm)],[])).
% 9.18/6.75 tff(23250,plain,
% 9.18/6.75 ((~![B: $i] : ((~less_3(B)) | (v84(constB165, B) <=> v84(constB164, B)))) | ((~less_3(bitIndex1)) | (v84(constB165, bitIndex1) <=> v84(constB164, bitIndex1)))),
% 9.18/6.75 inference(quant_inst,[status(thm)],[])).
% 9.18/6.75 tff(23251,plain,
% 9.18/6.75 ((~![B: $i] : ((~less_3(B)) | (v84(constB165, B) <=> v84(constB164, B)))) | (~less_3(bitIndex1)) | (v84(constB165, bitIndex1) <=> v84(constB164, bitIndex1))),
% 9.18/6.75 inference(modus_ponens,[status(thm)],[23250, 23249])).
% 9.18/6.75 tff(23252,plain,
% 9.18/6.75 (v84(constB165, bitIndex1) <=> v84(constB164, bitIndex1)),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[23251, 9785, 2273])).
% 9.18/6.75 tff(23253,plain,
% 9.18/6.75 (((~![B: $i] : ((~less_3(B)) | (v84(constB164, B) <=> v123(constB164, B)))) | ((~less_3(bitIndex1)) | (v84(constB164, bitIndex1) <=> v123(constB164, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB164, B) <=> v123(constB164, B)))) | (~less_3(bitIndex1)) | (v84(constB164, bitIndex1) <=> v123(constB164, bitIndex1)))),
% 9.18/6.75 inference(rewrite,[status(thm)],[])).
% 9.18/6.75 tff(23254,plain,
% 9.18/6.75 ((~![B: $i] : ((~less_3(B)) | (v84(constB164, B) <=> v123(constB164, B)))) | ((~less_3(bitIndex1)) | (v84(constB164, bitIndex1) <=> v123(constB164, bitIndex1)))),
% 9.18/6.75 inference(quant_inst,[status(thm)],[])).
% 9.18/6.75 tff(23255,plain,
% 9.18/6.75 ((~![B: $i] : ((~less_3(B)) | (v84(constB164, B) <=> v123(constB164, B)))) | (~less_3(bitIndex1)) | (v84(constB164, bitIndex1) <=> v123(constB164, bitIndex1))),
% 9.18/6.75 inference(modus_ponens,[status(thm)],[23254, 23253])).
% 9.18/6.75 tff(23256,plain,
% 9.18/6.75 (v84(constB164, bitIndex1) <=> v123(constB164, bitIndex1)),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[23255, 9785, 23177])).
% 9.18/6.75 tff(23257,plain,
% 9.18/6.75 (((~![B: $i] : ((~less_3(B)) | (v123(constB164, B) <=> v121(constB163, B)))) | ((~less_3(bitIndex1)) | (v123(constB164, bitIndex1) <=> v121(constB163, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB164, B) <=> v121(constB163, B)))) | (~less_3(bitIndex1)) | (v123(constB164, bitIndex1) <=> v121(constB163, bitIndex1)))),
% 9.18/6.75 inference(rewrite,[status(thm)],[])).
% 9.18/6.75 tff(23258,plain,
% 9.18/6.75 ((~![B: $i] : ((~less_3(B)) | (v123(constB164, B) <=> v121(constB163, B)))) | ((~less_3(bitIndex1)) | (v123(constB164, bitIndex1) <=> v121(constB163, bitIndex1)))),
% 9.18/6.75 inference(quant_inst,[status(thm)],[])).
% 9.18/6.75 tff(23259,plain,
% 9.18/6.75 ((~![B: $i] : ((~less_3(B)) | (v123(constB164, B) <=> v121(constB163, B)))) | (~less_3(bitIndex1)) | (v123(constB164, bitIndex1) <=> v121(constB163, bitIndex1))),
% 9.18/6.75 inference(modus_ponens,[status(thm)],[23258, 23257])).
% 9.18/6.75 tff(23260,plain,
% 9.18/6.75 (v123(constB164, bitIndex1) <=> v121(constB163, bitIndex1)),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[23259, 9785, 23185])).
% 9.18/6.75 tff(23261,plain,
% 9.18/6.75 (((~![B: $i] : ((~less_3(B)) | (v121(constB163, B) <=> v124(constB163, B)))) | ((~less_3(bitIndex1)) | (v121(constB163, bitIndex1) <=> v124(constB163, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB163, B) <=> v124(constB163, B)))) | (~less_3(bitIndex1)) | (v121(constB163, bitIndex1) <=> v124(constB163, bitIndex1)))),
% 9.18/6.75 inference(rewrite,[status(thm)],[])).
% 9.18/6.75 tff(23262,plain,
% 9.18/6.75 ((~![B: $i] : ((~less_3(B)) | (v121(constB163, B) <=> v124(constB163, B)))) | ((~less_3(bitIndex1)) | (v121(constB163, bitIndex1) <=> v124(constB163, bitIndex1)))),
% 9.18/6.75 inference(quant_inst,[status(thm)],[])).
% 9.18/6.75 tff(23263,plain,
% 9.18/6.75 ((~![B: $i] : ((~less_3(B)) | (v121(constB163, B) <=> v124(constB163, B)))) | (~less_3(bitIndex1)) | (v121(constB163, bitIndex1) <=> v124(constB163, bitIndex1))),
% 9.18/6.75 inference(modus_ponens,[status(thm)],[23262, 23261])).
% 9.18/6.75 tff(23264,plain,
% 9.18/6.75 (v121(constB163, bitIndex1) <=> v124(constB163, bitIndex1)),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[23263, 9785, 23193])).
% 9.18/6.75 tff(23265,plain,
% 9.18/6.75 (((~![B: $i] : ((~less_3(B)) | (v124(constB163, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v124(constB163, bitIndex1) <=> b100(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB163, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v124(constB163, bitIndex1) <=> b100(bitIndex1)))),
% 9.18/6.75 inference(rewrite,[status(thm)],[])).
% 9.18/6.75 tff(23266,plain,
% 9.18/6.75 ((~![B: $i] : ((~less_3(B)) | (v124(constB163, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v124(constB163, bitIndex1) <=> b100(bitIndex1)))),
% 9.18/6.75 inference(quant_inst,[status(thm)],[])).
% 9.18/6.75 tff(23267,plain,
% 9.18/6.75 ((~![B: $i] : ((~less_3(B)) | (v124(constB163, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v124(constB163, bitIndex1) <=> b100(bitIndex1))),
% 9.18/6.75 inference(modus_ponens,[status(thm)],[23266, 23265])).
% 9.18/6.75 tff(23268,plain,
% 9.18/6.75 (v124(constB163, bitIndex1) <=> b100(bitIndex1)),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[23267, 9785, 23202])).
% 9.18/6.75 tff(23269,plain,
% 9.18/6.75 ((~(v124(constB163, bitIndex1) <=> b100(bitIndex1))) | (~v124(constB163, bitIndex1)) | b100(bitIndex1)),
% 9.18/6.75 inference(tautology,[status(thm)],[])).
% 9.18/6.75 tff(23270,plain,
% 9.18/6.75 ((~(v124(constB163, bitIndex1) <=> b100(bitIndex1))) | (~v124(constB163, bitIndex1))),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[23269, 10585])).
% 9.18/6.75 tff(23271,plain,
% 9.18/6.75 (~v124(constB163, bitIndex1)),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[23270, 23268])).
% 9.18/6.75 tff(23272,plain,
% 9.18/6.75 ((~(v121(constB163, bitIndex1) <=> v124(constB163, bitIndex1))) | (~v121(constB163, bitIndex1)) | v124(constB163, bitIndex1)),
% 9.18/6.75 inference(tautology,[status(thm)],[])).
% 9.18/6.75 tff(23273,plain,
% 9.18/6.75 (~v121(constB163, bitIndex1)),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[23272, 23271, 23264])).
% 9.18/6.75 tff(23274,plain,
% 9.18/6.75 ((~(v123(constB164, bitIndex1) <=> v121(constB163, bitIndex1))) | (~v123(constB164, bitIndex1)) | v121(constB163, bitIndex1)),
% 9.18/6.75 inference(tautology,[status(thm)],[])).
% 9.18/6.75 tff(23275,plain,
% 9.18/6.75 (~v123(constB164, bitIndex1)),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[23274, 23273, 23260])).
% 9.18/6.75 tff(23276,plain,
% 9.18/6.75 ((~(v84(constB164, bitIndex1) <=> v123(constB164, bitIndex1))) | (~v84(constB164, bitIndex1)) | v123(constB164, bitIndex1)),
% 9.18/6.75 inference(tautology,[status(thm)],[])).
% 9.18/6.75 tff(23277,plain,
% 9.18/6.75 (~v84(constB164, bitIndex1)),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[23276, 23275, 23256])).
% 9.18/6.75 tff(23278,plain,
% 9.18/6.75 ((~(v84(constB165, bitIndex1) <=> v84(constB164, bitIndex1))) | (~v84(constB165, bitIndex1)) | v84(constB164, bitIndex1)),
% 9.18/6.75 inference(tautology,[status(thm)],[])).
% 9.18/6.75 tff(23279,plain,
% 9.18/6.75 (~v84(constB165, bitIndex1)),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[23278, 23277, 23252])).
% 9.18/6.75 tff(23280,plain,
% 9.18/6.75 ((~((~v84(constB165, bitIndex2)) | v84(constB165, bitIndex1) | v84(constB165, bitIndex0))) | (~v84(constB165, bitIndex2)) | v84(constB165, bitIndex1) | v84(constB165, bitIndex0)),
% 9.18/6.75 inference(tautology,[status(thm)],[])).
% 9.18/6.75 tff(23281,plain,
% 9.18/6.75 (~((~v84(constB165, bitIndex2)) | v84(constB165, bitIndex1) | v84(constB165, bitIndex0))),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[23280, 23279, 23248, 23217])).
% 9.18/6.75 tff(23282,plain,
% 9.18/6.75 ((~(v117(constB165) <=> (~((~v84(constB165, bitIndex2)) | v84(constB165, bitIndex1) | v84(constB165, bitIndex0))))) | v117(constB165) | ((~v84(constB165, bitIndex2)) | v84(constB165, bitIndex1) | v84(constB165, bitIndex0))),
% 9.18/6.75 inference(tautology,[status(thm)],[])).
% 9.18/6.75 tff(23283,plain,
% 9.18/6.75 (v117(constB165)),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[23282, 23281, 2245])).
% 9.18/6.75 tff(23284,plain,
% 9.18/6.75 ((v110(constB165) | v117(constB165)) | (~v117(constB165))),
% 9.18/6.75 inference(tautology,[status(thm)],[])).
% 9.18/6.75 tff(23285,plain,
% 9.18/6.75 (v110(constB165) | v117(constB165)),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[23284, 23283])).
% 9.18/6.75 tff(23286,plain,
% 9.18/6.75 ((~(v109(constB165) <=> (v110(constB165) | v117(constB165)))) | v109(constB165) | (~(v110(constB165) | v117(constB165)))),
% 9.18/6.75 inference(tautology,[status(thm)],[])).
% 9.18/6.75 tff(23287,plain,
% 9.18/6.75 (v109(constB165)),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[23286, 23285, 2238])).
% 9.18/6.75 tff(23288,plain,
% 9.18/6.75 ((v109(constB165) | v118(constB165)) | (~v109(constB165))),
% 9.18/6.75 inference(tautology,[status(thm)],[])).
% 9.18/6.75 tff(23289,plain,
% 9.18/6.75 (v109(constB165) | v118(constB165)),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[23288, 23287])).
% 9.18/6.75 tff(23290,plain,
% 9.18/6.75 ((~(v108(constB165) <=> (v109(constB165) | v118(constB165)))) | v108(constB165) | (~(v109(constB165) | v118(constB165)))),
% 9.18/6.75 inference(tautology,[status(thm)],[])).
% 9.18/6.75 tff(23291,plain,
% 9.18/6.75 (v108(constB165)),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[23290, 23289, 2236])).
% 9.18/6.75 tff(23292,plain,
% 9.18/6.75 ((v108(constB165) | v119(constB165)) | (~v108(constB165))),
% 9.18/6.75 inference(tautology,[status(thm)],[])).
% 9.18/6.75 tff(23293,plain,
% 9.18/6.75 (v108(constB165) | v119(constB165)),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[23292, 23291])).
% 9.18/6.75 tff(23294,plain,
% 9.18/6.75 ((~(v107(constB165) <=> (v108(constB165) | v119(constB165)))) | v107(constB165) | (~(v108(constB165) | v119(constB165)))),
% 9.18/6.75 inference(tautology,[status(thm)],[])).
% 9.18/6.75 tff(23295,plain,
% 9.18/6.75 (v107(constB165)),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[23294, 23293, 2234])).
% 9.18/6.75 tff(23296,plain,
% 9.18/6.75 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB165)) <=> v105(constB165))),
% 9.18/6.75 inference(quant_inst,[status(thm)],[])).
% 9.18/6.75 tff(23297,plain,
% 9.18/6.75 ((~v120(constB165)) <=> v105(constB165)),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[23296, 9842])).
% 9.18/6.75 tff(23298,plain,
% 9.18/6.75 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB165) <=> v26(constB165))),
% 9.18/6.75 inference(quant_inst,[status(thm)],[])).
% 9.18/6.75 tff(23299,plain,
% 9.18/6.75 (v105(constB165) <=> v26(constB165)),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[23298, 9854])).
% 9.18/6.75 tff(23300,plain,
% 9.18/6.75 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB165))),
% 9.18/6.75 inference(quant_inst,[status(thm)],[])).
% 9.18/6.75 tff(23301,plain,
% 9.18/6.75 (~v26(constB165)),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[23300, 9866])).
% 9.18/6.75 tff(23302,plain,
% 9.18/6.75 ((~(v105(constB165) <=> v26(constB165))) | (~v105(constB165)) | v26(constB165)),
% 9.18/6.75 inference(tautology,[status(thm)],[])).
% 9.18/6.75 tff(23303,plain,
% 9.18/6.75 ((~(v105(constB165) <=> v26(constB165))) | (~v105(constB165))),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[23302, 23301])).
% 9.18/6.75 tff(23304,plain,
% 9.18/6.75 (~v105(constB165)),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[23303, 23299])).
% 9.18/6.75 tff(23305,plain,
% 9.18/6.75 ((~((~v120(constB165)) <=> v105(constB165))) | v120(constB165) | v105(constB165)),
% 9.18/6.75 inference(tautology,[status(thm)],[])).
% 9.18/6.75 tff(23306,plain,
% 9.18/6.75 ((~((~v120(constB165)) <=> v105(constB165))) | v120(constB165)),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[23305, 23304])).
% 9.18/6.75 tff(23307,plain,
% 9.18/6.75 (v120(constB165)),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[23306, 23297])).
% 9.18/6.75 tff(23308,plain,
% 9.18/6.75 ((~((~v107(constB165)) | (~v120(constB165)))) | (~v107(constB165)) | (~v120(constB165))),
% 9.18/6.75 inference(tautology,[status(thm)],[])).
% 9.18/6.75 tff(23309,plain,
% 9.18/6.75 ((~((~v107(constB165)) | (~v120(constB165)))) | (~v107(constB165))),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[23308, 23307])).
% 9.18/6.75 tff(23310,plain,
% 9.18/6.75 (~((~v107(constB165)) | (~v120(constB165)))),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[23309, 23295])).
% 9.18/6.75 tff(23311,plain,
% 9.18/6.75 ((~(v106(constB165) <=> (~((~v107(constB165)) | (~v120(constB165)))))) | v106(constB165) | ((~v107(constB165)) | (~v120(constB165)))),
% 9.18/6.75 inference(tautology,[status(thm)],[])).
% 9.18/6.75 tff(23312,plain,
% 9.18/6.75 (v106(constB165)),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[23311, 23310, 2232])).
% 9.18/6.75 tff(23313,plain,
% 9.18/6.75 ((v105(constB165) | v106(constB165)) | (~v106(constB165))),
% 9.18/6.75 inference(tautology,[status(thm)],[])).
% 9.18/6.75 tff(23314,plain,
% 9.18/6.75 (v105(constB165) | v106(constB165)),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[23313, 23312])).
% 9.18/6.75 tff(23315,plain,
% 9.18/6.75 ((~(v102(constB165) <=> (v105(constB165) | v106(constB165)))) | v102(constB165) | (~(v105(constB165) | v106(constB165)))),
% 9.18/6.75 inference(tautology,[status(thm)],[])).
% 9.18/6.75 tff(23316,plain,
% 9.18/6.75 (v102(constB165)),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[23315, 23314, 2230])).
% 9.18/6.75 tff(23317,plain,
% 9.18/6.75 ((~(v104(constB166) <=> v102(constB165))) | v104(constB166) | (~v102(constB165))),
% 9.18/6.75 inference(tautology,[status(thm)],[])).
% 9.18/6.75 tff(23318,plain,
% 9.18/6.75 (v104(constB166)),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[23317, 23316, 2228])).
% 9.18/6.75 tff(23319,plain,
% 9.18/6.75 ((~((~v104(constB166)) | (~v95(constB166)))) | (~v104(constB166)) | (~v95(constB166))),
% 9.18/6.75 inference(tautology,[status(thm)],[])).
% 9.18/6.75 tff(23320,plain,
% 9.18/6.75 (~((~v104(constB166)) | (~v95(constB166)))),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[23319, 23318, 2224])).
% 9.18/6.75 tff(23321,plain,
% 9.18/6.75 ((~(v94(constB166) <=> (~((~v104(constB166)) | (~v95(constB166)))))) | v94(constB166) | ((~v104(constB166)) | (~v95(constB166)))),
% 9.18/6.75 inference(tautology,[status(thm)],[])).
% 9.18/6.75 tff(23322,plain,
% 9.18/6.75 (v94(constB166)),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[23321, 23320, 2193])).
% 9.18/6.75 tff(23323,plain,
% 9.18/6.75 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB166)) | ![B: $i] : ((~less_3(B)) | (v84(constB166, B) <=> v123(constB166, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB166)) | ![B: $i] : ((~less_3(B)) | (v84(constB166, B) <=> v123(constB166, B))))),
% 9.18/6.75 inference(rewrite,[status(thm)],[])).
% 9.18/6.75 tff(23324,plain,
% 9.18/6.75 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB166)) | ![B: $i] : ((~less_3(B)) | (v84(constB166, B) <=> v123(constB166, B))))),
% 9.18/6.75 inference(quant_inst,[status(thm)],[])).
% 9.18/6.75 tff(23325,plain,
% 9.18/6.75 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB166)) | ![B: $i] : ((~less_3(B)) | (v84(constB166, B) <=> v123(constB166, B)))),
% 9.18/6.75 inference(modus_ponens,[status(thm)],[23324, 23323])).
% 9.18/6.75 tff(23326,plain,
% 9.18/6.75 ((~v94(constB166)) | ![B: $i] : ((~less_3(B)) | (v84(constB166, B) <=> v123(constB166, B)))),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[23325, 9902])).
% 9.18/6.75 tff(23327,plain,
% 9.18/6.75 (![B: $i] : ((~less_3(B)) | (v84(constB166, B) <=> v123(constB166, B)))),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[23326, 23322])).
% 9.18/6.75 tff(23328,plain,
% 9.18/6.75 (((~![B: $i] : ((~less_3(B)) | (v84(constB166, B) <=> v123(constB166, B)))) | ((~less_3(bitIndex2)) | (v84(constB166, bitIndex2) <=> v123(constB166, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB166, B) <=> v123(constB166, B)))) | (~less_3(bitIndex2)) | (v84(constB166, bitIndex2) <=> v123(constB166, bitIndex2)))),
% 9.18/6.75 inference(rewrite,[status(thm)],[])).
% 9.18/6.75 tff(23329,plain,
% 9.18/6.75 ((~![B: $i] : ((~less_3(B)) | (v84(constB166, B) <=> v123(constB166, B)))) | ((~less_3(bitIndex2)) | (v84(constB166, bitIndex2) <=> v123(constB166, bitIndex2)))),
% 9.18/6.75 inference(quant_inst,[status(thm)],[])).
% 9.18/6.75 tff(23330,plain,
% 9.18/6.75 ((~![B: $i] : ((~less_3(B)) | (v84(constB166, B) <=> v123(constB166, B)))) | (~less_3(bitIndex2)) | (v84(constB166, bitIndex2) <=> v123(constB166, bitIndex2))),
% 9.18/6.75 inference(modus_ponens,[status(thm)],[23329, 23328])).
% 9.18/6.75 tff(23331,plain,
% 9.18/6.75 (v84(constB166, bitIndex2) <=> v123(constB166, bitIndex2)),
% 9.18/6.75 inference(unit_resolution,[status(thm)],[23330, 832, 23327])).
% 9.18/6.75 tff(23332,plain,
% 9.18/6.75 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB165, constB166)) | ![B: $i] : ((~less_3(B)) | (v123(constB166, B) <=> v121(constB165, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB165, constB166)) | ![B: $i] : ((~less_3(B)) | (v123(constB166, B) <=> v121(constB165, B))))),
% 9.18/6.75 inference(rewrite,[status(thm)],[])).
% 9.18/6.75 tff(23333,plain,
% 9.18/6.75 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB165, constB166)) | ![B: $i] : ((~less_3(B)) | (v123(constB166, B) <=> v121(constB165, B))))),
% 9.18/6.75 inference(quant_inst,[status(thm)],[])).
% 9.18/6.75 tff(23334,plain,
% 9.18/6.75 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB165, constB166)) | ![B: $i] : ((~less_3(B)) | (v123(constB166, B) <=> v121(constB165, B)))),
% 9.18/6.75 inference(modus_ponens,[status(thm)],[23333, 23332])).
% 9.18/6.75 tff(23335,plain,
% 9.18/6.75 (![B: $i] : ((~less_3(B)) | (v123(constB166, B) <=> v121(constB165, B)))),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[23334, 2189, 9924])).
% 9.18/6.76 tff(23336,plain,
% 9.18/6.76 (((~![B: $i] : ((~less_3(B)) | (v123(constB166, B) <=> v121(constB165, B)))) | ((~less_3(bitIndex2)) | (v123(constB166, bitIndex2) <=> v121(constB165, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB166, B) <=> v121(constB165, B)))) | (~less_3(bitIndex2)) | (v123(constB166, bitIndex2) <=> v121(constB165, bitIndex2)))),
% 9.18/6.76 inference(rewrite,[status(thm)],[])).
% 9.18/6.76 tff(23337,plain,
% 9.18/6.76 ((~![B: $i] : ((~less_3(B)) | (v123(constB166, B) <=> v121(constB165, B)))) | ((~less_3(bitIndex2)) | (v123(constB166, bitIndex2) <=> v121(constB165, bitIndex2)))),
% 9.18/6.76 inference(quant_inst,[status(thm)],[])).
% 9.18/6.76 tff(23338,plain,
% 9.18/6.76 ((~![B: $i] : ((~less_3(B)) | (v123(constB166, B) <=> v121(constB165, B)))) | (~less_3(bitIndex2)) | (v123(constB166, bitIndex2) <=> v121(constB165, bitIndex2))),
% 9.18/6.76 inference(modus_ponens,[status(thm)],[23337, 23336])).
% 9.18/6.76 tff(23339,plain,
% 9.18/6.76 (v123(constB166, bitIndex2) <=> v121(constB165, bitIndex2)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[23338, 832, 23335])).
% 9.18/6.76 tff(23340,plain,
% 9.18/6.76 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB165) | ![B: $i] : ((~less_3(B)) | (v121(constB165, B) <=> v124(constB165, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB165) | ![B: $i] : ((~less_3(B)) | (v121(constB165, B) <=> v124(constB165, B))))),
% 9.18/6.76 inference(rewrite,[status(thm)],[])).
% 9.18/6.76 tff(23341,plain,
% 9.18/6.76 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB165) | ![B: $i] : ((~less_3(B)) | (v121(constB165, B) <=> v124(constB165, B))))),
% 9.18/6.76 inference(quant_inst,[status(thm)],[])).
% 9.18/6.76 tff(23342,plain,
% 9.18/6.76 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB165) | ![B: $i] : ((~less_3(B)) | (v121(constB165, B) <=> v124(constB165, B)))),
% 9.18/6.76 inference(modus_ponens,[status(thm)],[23341, 23340])).
% 9.18/6.76 tff(23343,plain,
% 9.18/6.76 (![B: $i] : ((~less_3(B)) | (v121(constB165, B) <=> v124(constB165, B)))),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[23342, 9945, 23304])).
% 9.18/6.76 tff(23344,plain,
% 9.18/6.76 (((~![B: $i] : ((~less_3(B)) | (v121(constB165, B) <=> v124(constB165, B)))) | ((~less_3(bitIndex2)) | (v121(constB165, bitIndex2) <=> v124(constB165, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB165, B) <=> v124(constB165, B)))) | (~less_3(bitIndex2)) | (v121(constB165, bitIndex2) <=> v124(constB165, bitIndex2)))),
% 9.18/6.76 inference(rewrite,[status(thm)],[])).
% 9.18/6.76 tff(23345,plain,
% 9.18/6.76 ((~![B: $i] : ((~less_3(B)) | (v121(constB165, B) <=> v124(constB165, B)))) | ((~less_3(bitIndex2)) | (v121(constB165, bitIndex2) <=> v124(constB165, bitIndex2)))),
% 9.18/6.76 inference(quant_inst,[status(thm)],[])).
% 9.18/6.76 tff(23346,plain,
% 9.18/6.76 ((~![B: $i] : ((~less_3(B)) | (v121(constB165, B) <=> v124(constB165, B)))) | (~less_3(bitIndex2)) | (v121(constB165, bitIndex2) <=> v124(constB165, bitIndex2))),
% 9.18/6.76 inference(modus_ponens,[status(thm)],[23345, 23344])).
% 9.18/6.76 tff(23347,plain,
% 9.18/6.76 (v121(constB165, bitIndex2) <=> v124(constB165, bitIndex2)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[23346, 832, 23343])).
% 9.18/6.76 tff(23348,plain,
% 9.18/6.76 (((~![VarCurr: $i] : ((~v117(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b101(B))))) | ((~v117(constB165)) | ![B: $i] : ((~less_3(B)) | (v124(constB165, B) <=> b101(B))))) <=> ((~![VarCurr: $i] : ((~v117(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b101(B))))) | (~v117(constB165)) | ![B: $i] : ((~less_3(B)) | (v124(constB165, B) <=> b101(B))))),
% 9.18/6.76 inference(rewrite,[status(thm)],[])).
% 9.18/6.76 tff(23349,plain,
% 9.18/6.76 ((~![VarCurr: $i] : ((~v117(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b101(B))))) | ((~v117(constB165)) | ![B: $i] : ((~less_3(B)) | (v124(constB165, B) <=> b101(B))))),
% 9.18/6.76 inference(quant_inst,[status(thm)],[])).
% 9.18/6.76 tff(23350,plain,
% 9.18/6.76 ((~![VarCurr: $i] : ((~v117(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b101(B))))) | (~v117(constB165)) | ![B: $i] : ((~less_3(B)) | (v124(constB165, B) <=> b101(B)))),
% 9.18/6.76 inference(modus_ponens,[status(thm)],[23349, 23348])).
% 9.18/6.76 tff(23351,plain,
% 9.18/6.76 ((~v117(constB165)) | ![B: $i] : ((~less_3(B)) | (v124(constB165, B) <=> b101(B)))),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[23350, 10677])).
% 9.18/6.76 tff(23352,plain,
% 9.18/6.76 (![B: $i] : ((~less_3(B)) | (v124(constB165, B) <=> b101(B)))),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[23351, 23283])).
% 9.18/6.76 tff(23353,plain,
% 9.18/6.76 (((~![B: $i] : ((~less_3(B)) | (v124(constB165, B) <=> b101(B)))) | ((~less_3(bitIndex2)) | (v124(constB165, bitIndex2) <=> b101(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB165, B) <=> b101(B)))) | (~less_3(bitIndex2)) | (v124(constB165, bitIndex2) <=> b101(bitIndex2)))),
% 9.18/6.76 inference(rewrite,[status(thm)],[])).
% 9.18/6.76 tff(23354,plain,
% 9.18/6.76 ((~![B: $i] : ((~less_3(B)) | (v124(constB165, B) <=> b101(B)))) | ((~less_3(bitIndex2)) | (v124(constB165, bitIndex2) <=> b101(bitIndex2)))),
% 9.18/6.76 inference(quant_inst,[status(thm)],[])).
% 9.18/6.76 tff(23355,plain,
% 9.18/6.76 ((~![B: $i] : ((~less_3(B)) | (v124(constB165, B) <=> b101(B)))) | (~less_3(bitIndex2)) | (v124(constB165, bitIndex2) <=> b101(bitIndex2))),
% 9.18/6.76 inference(modus_ponens,[status(thm)],[23354, 23353])).
% 9.18/6.76 tff(23356,plain,
% 9.18/6.76 (v124(constB165, bitIndex2) <=> b101(bitIndex2)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[23355, 832, 23352])).
% 9.18/6.76 tff(23357,plain,
% 9.18/6.76 ((~(v124(constB165, bitIndex2) <=> b101(bitIndex2))) | v124(constB165, bitIndex2) | (~b101(bitIndex2))),
% 9.18/6.76 inference(tautology,[status(thm)],[])).
% 9.18/6.76 tff(23358,plain,
% 9.18/6.76 ((~(v124(constB165, bitIndex2) <=> b101(bitIndex2))) | v124(constB165, bitIndex2)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[23357, 10689])).
% 9.18/6.76 tff(23359,plain,
% 9.18/6.76 (v124(constB165, bitIndex2)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[23358, 23356])).
% 9.18/6.76 tff(23360,plain,
% 9.18/6.76 ((~(v121(constB165, bitIndex2) <=> v124(constB165, bitIndex2))) | v121(constB165, bitIndex2) | (~v124(constB165, bitIndex2))),
% 9.18/6.76 inference(tautology,[status(thm)],[])).
% 9.18/6.76 tff(23361,plain,
% 9.18/6.76 (v121(constB165, bitIndex2)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[23360, 23359, 23347])).
% 9.18/6.76 tff(23362,plain,
% 9.18/6.76 ((~(v123(constB166, bitIndex2) <=> v121(constB165, bitIndex2))) | v123(constB166, bitIndex2) | (~v121(constB165, bitIndex2))),
% 9.18/6.76 inference(tautology,[status(thm)],[])).
% 9.18/6.76 tff(23363,plain,
% 9.18/6.76 (v123(constB166, bitIndex2)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[23362, 23361, 23339])).
% 9.18/6.76 tff(23364,plain,
% 9.18/6.76 ((~(v84(constB166, bitIndex2) <=> v123(constB166, bitIndex2))) | v84(constB166, bitIndex2) | (~v123(constB166, bitIndex2))),
% 9.18/6.76 inference(tautology,[status(thm)],[])).
% 9.18/6.76 tff(23365,plain,
% 9.18/6.76 (v84(constB166, bitIndex2)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[23364, 23363, 23331])).
% 9.18/6.76 tff(23366,plain,
% 9.18/6.76 ((~(v84(constB167, bitIndex2) <=> v84(constB166, bitIndex2))) | v84(constB167, bitIndex2) | (~v84(constB166, bitIndex2))),
% 9.18/6.76 inference(tautology,[status(thm)],[])).
% 9.18/6.76 tff(23367,plain,
% 9.18/6.76 (v84(constB167, bitIndex2)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[23366, 23365, 2186])).
% 9.18/6.76 tff(23368,plain,
% 9.18/6.76 (((~![B: $i] : ((~less_3(B)) | (v84(constB167, B) <=> v84(constB166, B)))) | ((~less_3(bitIndex0)) | (v84(constB167, bitIndex0) <=> v84(constB166, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB167, B) <=> v84(constB166, B)))) | (~less_3(bitIndex0)) | (v84(constB167, bitIndex0) <=> v84(constB166, bitIndex0)))),
% 9.18/6.76 inference(rewrite,[status(thm)],[])).
% 9.18/6.76 tff(23369,plain,
% 9.18/6.76 ((~![B: $i] : ((~less_3(B)) | (v84(constB167, B) <=> v84(constB166, B)))) | ((~less_3(bitIndex0)) | (v84(constB167, bitIndex0) <=> v84(constB166, bitIndex0)))),
% 9.18/6.76 inference(quant_inst,[status(thm)],[])).
% 9.18/6.76 tff(23370,plain,
% 9.18/6.76 ((~![B: $i] : ((~less_3(B)) | (v84(constB167, B) <=> v84(constB166, B)))) | (~less_3(bitIndex0)) | (v84(constB167, bitIndex0) <=> v84(constB166, bitIndex0))),
% 9.18/6.76 inference(modus_ponens,[status(thm)],[23369, 23368])).
% 9.18/6.76 tff(23371,plain,
% 9.18/6.76 (v84(constB167, bitIndex0) <=> v84(constB166, bitIndex0)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[23370, 9772, 2182])).
% 9.18/6.76 tff(23372,plain,
% 9.18/6.76 (((~![B: $i] : ((~less_3(B)) | (v84(constB166, B) <=> v123(constB166, B)))) | ((~less_3(bitIndex0)) | (v84(constB166, bitIndex0) <=> v123(constB166, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB166, B) <=> v123(constB166, B)))) | (~less_3(bitIndex0)) | (v84(constB166, bitIndex0) <=> v123(constB166, bitIndex0)))),
% 9.18/6.76 inference(rewrite,[status(thm)],[])).
% 9.18/6.76 tff(23373,plain,
% 9.18/6.76 ((~![B: $i] : ((~less_3(B)) | (v84(constB166, B) <=> v123(constB166, B)))) | ((~less_3(bitIndex0)) | (v84(constB166, bitIndex0) <=> v123(constB166, bitIndex0)))),
% 9.18/6.76 inference(quant_inst,[status(thm)],[])).
% 9.18/6.76 tff(23374,plain,
% 9.18/6.76 ((~![B: $i] : ((~less_3(B)) | (v84(constB166, B) <=> v123(constB166, B)))) | (~less_3(bitIndex0)) | (v84(constB166, bitIndex0) <=> v123(constB166, bitIndex0))),
% 9.18/6.76 inference(modus_ponens,[status(thm)],[23373, 23372])).
% 9.18/6.76 tff(23375,plain,
% 9.18/6.76 (v84(constB166, bitIndex0) <=> v123(constB166, bitIndex0)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[23374, 9772, 23327])).
% 9.18/6.76 tff(23376,plain,
% 9.18/6.76 (((~![B: $i] : ((~less_3(B)) | (v123(constB166, B) <=> v121(constB165, B)))) | ((~less_3(bitIndex0)) | (v123(constB166, bitIndex0) <=> v121(constB165, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB166, B) <=> v121(constB165, B)))) | (~less_3(bitIndex0)) | (v123(constB166, bitIndex0) <=> v121(constB165, bitIndex0)))),
% 9.18/6.76 inference(rewrite,[status(thm)],[])).
% 9.18/6.76 tff(23377,plain,
% 9.18/6.76 ((~![B: $i] : ((~less_3(B)) | (v123(constB166, B) <=> v121(constB165, B)))) | ((~less_3(bitIndex0)) | (v123(constB166, bitIndex0) <=> v121(constB165, bitIndex0)))),
% 9.18/6.76 inference(quant_inst,[status(thm)],[])).
% 9.18/6.76 tff(23378,plain,
% 9.18/6.76 ((~![B: $i] : ((~less_3(B)) | (v123(constB166, B) <=> v121(constB165, B)))) | (~less_3(bitIndex0)) | (v123(constB166, bitIndex0) <=> v121(constB165, bitIndex0))),
% 9.18/6.76 inference(modus_ponens,[status(thm)],[23377, 23376])).
% 9.18/6.76 tff(23379,plain,
% 9.18/6.76 (v123(constB166, bitIndex0) <=> v121(constB165, bitIndex0)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[23378, 9772, 23335])).
% 9.18/6.76 tff(23380,plain,
% 9.18/6.76 (((~![B: $i] : ((~less_3(B)) | (v121(constB165, B) <=> v124(constB165, B)))) | ((~less_3(bitIndex0)) | (v121(constB165, bitIndex0) <=> v124(constB165, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB165, B) <=> v124(constB165, B)))) | (~less_3(bitIndex0)) | (v121(constB165, bitIndex0) <=> v124(constB165, bitIndex0)))),
% 9.18/6.76 inference(rewrite,[status(thm)],[])).
% 9.18/6.76 tff(23381,plain,
% 9.18/6.76 ((~![B: $i] : ((~less_3(B)) | (v121(constB165, B) <=> v124(constB165, B)))) | ((~less_3(bitIndex0)) | (v121(constB165, bitIndex0) <=> v124(constB165, bitIndex0)))),
% 9.18/6.76 inference(quant_inst,[status(thm)],[])).
% 9.18/6.76 tff(23382,plain,
% 9.18/6.76 ((~![B: $i] : ((~less_3(B)) | (v121(constB165, B) <=> v124(constB165, B)))) | (~less_3(bitIndex0)) | (v121(constB165, bitIndex0) <=> v124(constB165, bitIndex0))),
% 9.18/6.76 inference(modus_ponens,[status(thm)],[23381, 23380])).
% 9.18/6.76 tff(23383,plain,
% 9.18/6.76 (v121(constB165, bitIndex0) <=> v124(constB165, bitIndex0)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[23382, 9772, 23343])).
% 9.18/6.76 tff(23384,plain,
% 9.18/6.76 (((~![B: $i] : ((~less_3(B)) | (v124(constB165, B) <=> b101(B)))) | ((~less_3(bitIndex0)) | (v124(constB165, bitIndex0) <=> b101(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB165, B) <=> b101(B)))) | (~less_3(bitIndex0)) | (v124(constB165, bitIndex0) <=> b101(bitIndex0)))),
% 9.18/6.76 inference(rewrite,[status(thm)],[])).
% 9.18/6.76 tff(23385,plain,
% 9.18/6.76 ((~![B: $i] : ((~less_3(B)) | (v124(constB165, B) <=> b101(B)))) | ((~less_3(bitIndex0)) | (v124(constB165, bitIndex0) <=> b101(bitIndex0)))),
% 9.18/6.76 inference(quant_inst,[status(thm)],[])).
% 9.18/6.76 tff(23386,plain,
% 9.18/6.76 ((~![B: $i] : ((~less_3(B)) | (v124(constB165, B) <=> b101(B)))) | (~less_3(bitIndex0)) | (v124(constB165, bitIndex0) <=> b101(bitIndex0))),
% 9.18/6.76 inference(modus_ponens,[status(thm)],[23385, 23384])).
% 9.18/6.76 tff(23387,plain,
% 9.18/6.76 (v124(constB165, bitIndex0) <=> b101(bitIndex0)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[23386, 9772, 23352])).
% 9.18/6.76 tff(23388,plain,
% 9.18/6.76 ((~(v124(constB165, bitIndex0) <=> b101(bitIndex0))) | v124(constB165, bitIndex0) | (~b101(bitIndex0))),
% 9.18/6.76 inference(tautology,[status(thm)],[])).
% 9.18/6.76 tff(23389,plain,
% 9.18/6.76 ((~(v124(constB165, bitIndex0) <=> b101(bitIndex0))) | v124(constB165, bitIndex0)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[23388, 10723])).
% 9.18/6.76 tff(23390,plain,
% 9.18/6.76 (v124(constB165, bitIndex0)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[23389, 23387])).
% 9.18/6.76 tff(23391,plain,
% 9.18/6.76 ((~(v121(constB165, bitIndex0) <=> v124(constB165, bitIndex0))) | v121(constB165, bitIndex0) | (~v124(constB165, bitIndex0))),
% 9.18/6.76 inference(tautology,[status(thm)],[])).
% 9.18/6.76 tff(23392,plain,
% 9.18/6.76 (v121(constB165, bitIndex0)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[23391, 23390, 23383])).
% 9.18/6.76 tff(23393,plain,
% 9.18/6.76 ((~(v123(constB166, bitIndex0) <=> v121(constB165, bitIndex0))) | v123(constB166, bitIndex0) | (~v121(constB165, bitIndex0))),
% 9.18/6.76 inference(tautology,[status(thm)],[])).
% 9.18/6.76 tff(23394,plain,
% 9.18/6.76 (v123(constB166, bitIndex0)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[23393, 23392, 23379])).
% 9.18/6.76 tff(23395,plain,
% 9.18/6.76 ((~(v84(constB166, bitIndex0) <=> v123(constB166, bitIndex0))) | v84(constB166, bitIndex0) | (~v123(constB166, bitIndex0))),
% 9.18/6.76 inference(tautology,[status(thm)],[])).
% 9.18/6.76 tff(23396,plain,
% 9.18/6.76 (v84(constB166, bitIndex0)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[23395, 23394, 23375])).
% 9.18/6.76 tff(23397,plain,
% 9.18/6.76 ((~(v84(constB167, bitIndex0) <=> v84(constB166, bitIndex0))) | v84(constB167, bitIndex0) | (~v84(constB166, bitIndex0))),
% 9.18/6.76 inference(tautology,[status(thm)],[])).
% 9.18/6.76 tff(23398,plain,
% 9.18/6.76 (v84(constB167, bitIndex0)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[23397, 23396, 23371])).
% 9.18/6.76 tff(23399,plain,
% 9.18/6.76 (((~![B: $i] : ((~less_3(B)) | (v84(constB167, B) <=> v84(constB166, B)))) | ((~less_3(bitIndex1)) | (v84(constB167, bitIndex1) <=> v84(constB166, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB167, B) <=> v84(constB166, B)))) | (~less_3(bitIndex1)) | (v84(constB167, bitIndex1) <=> v84(constB166, bitIndex1)))),
% 9.18/6.76 inference(rewrite,[status(thm)],[])).
% 9.18/6.76 tff(23400,plain,
% 9.18/6.76 ((~![B: $i] : ((~less_3(B)) | (v84(constB167, B) <=> v84(constB166, B)))) | ((~less_3(bitIndex1)) | (v84(constB167, bitIndex1) <=> v84(constB166, bitIndex1)))),
% 9.18/6.76 inference(quant_inst,[status(thm)],[])).
% 9.18/6.76 tff(23401,plain,
% 9.18/6.76 ((~![B: $i] : ((~less_3(B)) | (v84(constB167, B) <=> v84(constB166, B)))) | (~less_3(bitIndex1)) | (v84(constB167, bitIndex1) <=> v84(constB166, bitIndex1))),
% 9.18/6.76 inference(modus_ponens,[status(thm)],[23400, 23399])).
% 9.18/6.76 tff(23402,plain,
% 9.18/6.76 (v84(constB167, bitIndex1) <=> v84(constB166, bitIndex1)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[23401, 9785, 2182])).
% 9.18/6.76 tff(23403,plain,
% 9.18/6.76 (((~![B: $i] : ((~less_3(B)) | (v84(constB166, B) <=> v123(constB166, B)))) | ((~less_3(bitIndex1)) | (v84(constB166, bitIndex1) <=> v123(constB166, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB166, B) <=> v123(constB166, B)))) | (~less_3(bitIndex1)) | (v84(constB166, bitIndex1) <=> v123(constB166, bitIndex1)))),
% 9.18/6.76 inference(rewrite,[status(thm)],[])).
% 9.18/6.76 tff(23404,plain,
% 9.18/6.76 ((~![B: $i] : ((~less_3(B)) | (v84(constB166, B) <=> v123(constB166, B)))) | ((~less_3(bitIndex1)) | (v84(constB166, bitIndex1) <=> v123(constB166, bitIndex1)))),
% 9.18/6.76 inference(quant_inst,[status(thm)],[])).
% 9.18/6.76 tff(23405,plain,
% 9.18/6.76 ((~![B: $i] : ((~less_3(B)) | (v84(constB166, B) <=> v123(constB166, B)))) | (~less_3(bitIndex1)) | (v84(constB166, bitIndex1) <=> v123(constB166, bitIndex1))),
% 9.18/6.76 inference(modus_ponens,[status(thm)],[23404, 23403])).
% 9.18/6.76 tff(23406,plain,
% 9.18/6.76 (v84(constB166, bitIndex1) <=> v123(constB166, bitIndex1)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[23405, 9785, 23327])).
% 9.18/6.76 tff(23407,plain,
% 9.18/6.76 (((~![B: $i] : ((~less_3(B)) | (v123(constB166, B) <=> v121(constB165, B)))) | ((~less_3(bitIndex1)) | (v123(constB166, bitIndex1) <=> v121(constB165, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB166, B) <=> v121(constB165, B)))) | (~less_3(bitIndex1)) | (v123(constB166, bitIndex1) <=> v121(constB165, bitIndex1)))),
% 9.18/6.76 inference(rewrite,[status(thm)],[])).
% 9.18/6.76 tff(23408,plain,
% 9.18/6.76 ((~![B: $i] : ((~less_3(B)) | (v123(constB166, B) <=> v121(constB165, B)))) | ((~less_3(bitIndex1)) | (v123(constB166, bitIndex1) <=> v121(constB165, bitIndex1)))),
% 9.18/6.76 inference(quant_inst,[status(thm)],[])).
% 9.18/6.76 tff(23409,plain,
% 9.18/6.76 ((~![B: $i] : ((~less_3(B)) | (v123(constB166, B) <=> v121(constB165, B)))) | (~less_3(bitIndex1)) | (v123(constB166, bitIndex1) <=> v121(constB165, bitIndex1))),
% 9.18/6.76 inference(modus_ponens,[status(thm)],[23408, 23407])).
% 9.18/6.76 tff(23410,plain,
% 9.18/6.76 (v123(constB166, bitIndex1) <=> v121(constB165, bitIndex1)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[23409, 9785, 23335])).
% 9.18/6.76 tff(23411,plain,
% 9.18/6.76 (((~![B: $i] : ((~less_3(B)) | (v121(constB165, B) <=> v124(constB165, B)))) | ((~less_3(bitIndex1)) | (v121(constB165, bitIndex1) <=> v124(constB165, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB165, B) <=> v124(constB165, B)))) | (~less_3(bitIndex1)) | (v121(constB165, bitIndex1) <=> v124(constB165, bitIndex1)))),
% 9.18/6.76 inference(rewrite,[status(thm)],[])).
% 9.18/6.76 tff(23412,plain,
% 9.18/6.76 ((~![B: $i] : ((~less_3(B)) | (v121(constB165, B) <=> v124(constB165, B)))) | ((~less_3(bitIndex1)) | (v121(constB165, bitIndex1) <=> v124(constB165, bitIndex1)))),
% 9.18/6.76 inference(quant_inst,[status(thm)],[])).
% 9.18/6.76 tff(23413,plain,
% 9.18/6.76 ((~![B: $i] : ((~less_3(B)) | (v121(constB165, B) <=> v124(constB165, B)))) | (~less_3(bitIndex1)) | (v121(constB165, bitIndex1) <=> v124(constB165, bitIndex1))),
% 9.18/6.76 inference(modus_ponens,[status(thm)],[23412, 23411])).
% 9.18/6.76 tff(23414,plain,
% 9.18/6.76 (v121(constB165, bitIndex1) <=> v124(constB165, bitIndex1)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[23413, 9785, 23343])).
% 9.18/6.76 tff(23415,plain,
% 9.18/6.76 (((~![B: $i] : ((~less_3(B)) | (v124(constB165, B) <=> b101(B)))) | ((~less_3(bitIndex1)) | (v124(constB165, bitIndex1) <=> b101(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB165, B) <=> b101(B)))) | (~less_3(bitIndex1)) | (v124(constB165, bitIndex1) <=> b101(bitIndex1)))),
% 9.18/6.76 inference(rewrite,[status(thm)],[])).
% 9.18/6.76 tff(23416,plain,
% 9.18/6.76 ((~![B: $i] : ((~less_3(B)) | (v124(constB165, B) <=> b101(B)))) | ((~less_3(bitIndex1)) | (v124(constB165, bitIndex1) <=> b101(bitIndex1)))),
% 9.18/6.76 inference(quant_inst,[status(thm)],[])).
% 9.18/6.76 tff(23417,plain,
% 9.18/6.76 ((~![B: $i] : ((~less_3(B)) | (v124(constB165, B) <=> b101(B)))) | (~less_3(bitIndex1)) | (v124(constB165, bitIndex1) <=> b101(bitIndex1))),
% 9.18/6.76 inference(modus_ponens,[status(thm)],[23416, 23415])).
% 9.18/6.76 tff(23418,plain,
% 9.18/6.76 (v124(constB165, bitIndex1) <=> b101(bitIndex1)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[23417, 9785, 23352])).
% 9.18/6.76 tff(23419,plain,
% 9.18/6.76 ((~(v124(constB165, bitIndex1) <=> b101(bitIndex1))) | (~v124(constB165, bitIndex1)) | b101(bitIndex1)),
% 9.18/6.76 inference(tautology,[status(thm)],[])).
% 9.18/6.76 tff(23420,plain,
% 9.18/6.76 ((~(v124(constB165, bitIndex1) <=> b101(bitIndex1))) | (~v124(constB165, bitIndex1))),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[23419, 10757])).
% 9.18/6.76 tff(23421,plain,
% 9.18/6.76 (~v124(constB165, bitIndex1)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[23420, 23418])).
% 9.18/6.76 tff(23422,plain,
% 9.18/6.76 ((~(v121(constB165, bitIndex1) <=> v124(constB165, bitIndex1))) | (~v121(constB165, bitIndex1)) | v124(constB165, bitIndex1)),
% 9.18/6.76 inference(tautology,[status(thm)],[])).
% 9.18/6.76 tff(23423,plain,
% 9.18/6.76 (~v121(constB165, bitIndex1)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[23422, 23421, 23414])).
% 9.18/6.76 tff(23424,plain,
% 9.18/6.76 ((~(v123(constB166, bitIndex1) <=> v121(constB165, bitIndex1))) | (~v123(constB166, bitIndex1)) | v121(constB165, bitIndex1)),
% 9.18/6.76 inference(tautology,[status(thm)],[])).
% 9.18/6.76 tff(23425,plain,
% 9.18/6.76 (~v123(constB166, bitIndex1)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[23424, 23423, 23410])).
% 9.18/6.76 tff(23426,plain,
% 9.18/6.76 ((~(v84(constB166, bitIndex1) <=> v123(constB166, bitIndex1))) | (~v84(constB166, bitIndex1)) | v123(constB166, bitIndex1)),
% 9.18/6.76 inference(tautology,[status(thm)],[])).
% 9.18/6.76 tff(23427,plain,
% 9.18/6.76 (~v84(constB166, bitIndex1)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[23426, 23425, 23406])).
% 9.18/6.76 tff(23428,plain,
% 9.18/6.76 ((~(v84(constB167, bitIndex1) <=> v84(constB166, bitIndex1))) | (~v84(constB167, bitIndex1)) | v84(constB166, bitIndex1)),
% 9.18/6.76 inference(tautology,[status(thm)],[])).
% 9.18/6.76 tff(23429,plain,
% 9.18/6.76 (~v84(constB167, bitIndex1)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[23428, 23427, 23402])).
% 9.18/6.76 tff(23430,plain,
% 9.18/6.76 ((~((~v84(constB167, bitIndex2)) | v84(constB167, bitIndex1) | (~v84(constB167, bitIndex0)))) | (~v84(constB167, bitIndex2)) | v84(constB167, bitIndex1) | (~v84(constB167, bitIndex0))),
% 9.18/6.76 inference(tautology,[status(thm)],[])).
% 9.18/6.76 tff(23431,plain,
% 9.18/6.76 (~((~v84(constB167, bitIndex2)) | v84(constB167, bitIndex1) | (~v84(constB167, bitIndex0)))),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[23430, 23429, 23398, 23367])).
% 9.18/6.76 tff(23432,plain,
% 9.18/6.76 ((~(v118(constB167) <=> (~((~v84(constB167, bitIndex2)) | v84(constB167, bitIndex1) | (~v84(constB167, bitIndex0)))))) | v118(constB167) | ((~v84(constB167, bitIndex2)) | v84(constB167, bitIndex1) | (~v84(constB167, bitIndex0)))),
% 9.18/6.76 inference(tautology,[status(thm)],[])).
% 9.18/6.76 tff(23433,plain,
% 9.18/6.76 (v118(constB167)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[23432, 23431, 2154])).
% 9.18/6.76 tff(23434,plain,
% 9.18/6.76 ((v109(constB167) | v118(constB167)) | (~v118(constB167))),
% 9.18/6.76 inference(tautology,[status(thm)],[])).
% 9.18/6.76 tff(23435,plain,
% 9.18/6.76 (v109(constB167) | v118(constB167)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[23434, 23433])).
% 9.18/6.76 tff(23436,plain,
% 9.18/6.76 ((~(v108(constB167) <=> (v109(constB167) | v118(constB167)))) | v108(constB167) | (~(v109(constB167) | v118(constB167)))),
% 9.18/6.76 inference(tautology,[status(thm)],[])).
% 9.18/6.76 tff(23437,plain,
% 9.18/6.76 (v108(constB167)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[23436, 23435, 2147])).
% 9.18/6.76 tff(23438,plain,
% 9.18/6.76 ((v108(constB167) | v119(constB167)) | (~v108(constB167))),
% 9.18/6.76 inference(tautology,[status(thm)],[])).
% 9.18/6.76 tff(23439,plain,
% 9.18/6.76 (v108(constB167) | v119(constB167)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[23438, 23437])).
% 9.18/6.76 tff(23440,plain,
% 9.18/6.76 ((~(v107(constB167) <=> (v108(constB167) | v119(constB167)))) | v107(constB167) | (~(v108(constB167) | v119(constB167)))),
% 9.18/6.76 inference(tautology,[status(thm)],[])).
% 9.18/6.76 tff(23441,plain,
% 9.18/6.76 (v107(constB167)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[23440, 23439, 2145])).
% 9.18/6.76 tff(23442,plain,
% 9.18/6.76 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB167)) <=> v105(constB167))),
% 9.18/6.76 inference(quant_inst,[status(thm)],[])).
% 9.18/6.76 tff(23443,plain,
% 9.18/6.76 ((~v120(constB167)) <=> v105(constB167)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[23442, 9842])).
% 9.18/6.76 tff(23444,plain,
% 9.18/6.76 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB167) <=> v26(constB167))),
% 9.18/6.76 inference(quant_inst,[status(thm)],[])).
% 9.18/6.76 tff(23445,plain,
% 9.18/6.76 (v105(constB167) <=> v26(constB167)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[23444, 9854])).
% 9.18/6.76 tff(23446,plain,
% 9.18/6.76 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB167))),
% 9.18/6.76 inference(quant_inst,[status(thm)],[])).
% 9.18/6.76 tff(23447,plain,
% 9.18/6.76 (~v26(constB167)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[23446, 9866])).
% 9.18/6.76 tff(23448,plain,
% 9.18/6.76 ((~(v105(constB167) <=> v26(constB167))) | (~v105(constB167)) | v26(constB167)),
% 9.18/6.76 inference(tautology,[status(thm)],[])).
% 9.18/6.76 tff(23449,plain,
% 9.18/6.76 ((~(v105(constB167) <=> v26(constB167))) | (~v105(constB167))),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[23448, 23447])).
% 9.18/6.76 tff(23450,plain,
% 9.18/6.76 (~v105(constB167)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[23449, 23445])).
% 9.18/6.76 tff(23451,plain,
% 9.18/6.76 ((~((~v120(constB167)) <=> v105(constB167))) | v120(constB167) | v105(constB167)),
% 9.18/6.76 inference(tautology,[status(thm)],[])).
% 9.18/6.76 tff(23452,plain,
% 9.18/6.76 ((~((~v120(constB167)) <=> v105(constB167))) | v120(constB167)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[23451, 23450])).
% 9.18/6.76 tff(23453,plain,
% 9.18/6.76 (v120(constB167)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[23452, 23443])).
% 9.18/6.76 tff(23454,plain,
% 9.18/6.76 ((~((~v107(constB167)) | (~v120(constB167)))) | (~v107(constB167)) | (~v120(constB167))),
% 9.18/6.76 inference(tautology,[status(thm)],[])).
% 9.18/6.76 tff(23455,plain,
% 9.18/6.76 ((~((~v107(constB167)) | (~v120(constB167)))) | (~v107(constB167))),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[23454, 23453])).
% 9.18/6.76 tff(23456,plain,
% 9.18/6.76 (~((~v107(constB167)) | (~v120(constB167)))),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[23455, 23441])).
% 9.18/6.76 tff(23457,plain,
% 9.18/6.76 ((~(v106(constB167) <=> (~((~v107(constB167)) | (~v120(constB167)))))) | v106(constB167) | ((~v107(constB167)) | (~v120(constB167)))),
% 9.18/6.76 inference(tautology,[status(thm)],[])).
% 9.18/6.76 tff(23458,plain,
% 9.18/6.76 (v106(constB167)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[23457, 23456, 2143])).
% 9.18/6.76 tff(23459,plain,
% 9.18/6.76 ((v105(constB167) | v106(constB167)) | (~v106(constB167))),
% 9.18/6.76 inference(tautology,[status(thm)],[])).
% 9.18/6.76 tff(23460,plain,
% 9.18/6.76 (v105(constB167) | v106(constB167)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[23459, 23458])).
% 9.18/6.76 tff(23461,plain,
% 9.18/6.76 ((~(v102(constB167) <=> (v105(constB167) | v106(constB167)))) | v102(constB167) | (~(v105(constB167) | v106(constB167)))),
% 9.18/6.76 inference(tautology,[status(thm)],[])).
% 9.18/6.76 tff(23462,plain,
% 9.18/6.76 (v102(constB167)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[23461, 23460, 2141])).
% 9.18/6.76 tff(23463,plain,
% 9.18/6.76 ((~(v104(constB168) <=> v102(constB167))) | v104(constB168) | (~v102(constB167))),
% 9.18/6.76 inference(tautology,[status(thm)],[])).
% 9.18/6.76 tff(23464,plain,
% 9.18/6.76 (v104(constB168)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[23463, 23462, 2139])).
% 9.18/6.76 tff(23465,plain,
% 9.18/6.76 ((~((~v104(constB168)) | (~v95(constB168)))) | (~v104(constB168)) | (~v95(constB168))),
% 9.18/6.76 inference(tautology,[status(thm)],[])).
% 9.18/6.76 tff(23466,plain,
% 9.18/6.76 (~((~v104(constB168)) | (~v95(constB168)))),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[23465, 23464, 2135])).
% 9.18/6.76 tff(23467,plain,
% 9.18/6.76 ((~(v94(constB168) <=> (~((~v104(constB168)) | (~v95(constB168)))))) | v94(constB168) | ((~v104(constB168)) | (~v95(constB168)))),
% 9.18/6.76 inference(tautology,[status(thm)],[])).
% 9.18/6.76 tff(23468,plain,
% 9.18/6.76 (v94(constB168)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[23467, 23466, 2104])).
% 9.18/6.76 tff(23469,plain,
% 9.18/6.76 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB168)) | ![B: $i] : ((~less_3(B)) | (v84(constB168, B) <=> v123(constB168, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB168)) | ![B: $i] : ((~less_3(B)) | (v84(constB168, B) <=> v123(constB168, B))))),
% 9.18/6.76 inference(rewrite,[status(thm)],[])).
% 9.18/6.76 tff(23470,plain,
% 9.18/6.76 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB168)) | ![B: $i] : ((~less_3(B)) | (v84(constB168, B) <=> v123(constB168, B))))),
% 9.18/6.76 inference(quant_inst,[status(thm)],[])).
% 9.18/6.76 tff(23471,plain,
% 9.18/6.76 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB168)) | ![B: $i] : ((~less_3(B)) | (v84(constB168, B) <=> v123(constB168, B)))),
% 9.18/6.76 inference(modus_ponens,[status(thm)],[23470, 23469])).
% 9.18/6.76 tff(23472,plain,
% 9.18/6.76 ((~v94(constB168)) | ![B: $i] : ((~less_3(B)) | (v84(constB168, B) <=> v123(constB168, B)))),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[23471, 9902])).
% 9.18/6.76 tff(23473,plain,
% 9.18/6.76 (![B: $i] : ((~less_3(B)) | (v84(constB168, B) <=> v123(constB168, B)))),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[23472, 23468])).
% 9.18/6.76 tff(23474,plain,
% 9.18/6.76 (((~![B: $i] : ((~less_3(B)) | (v84(constB168, B) <=> v123(constB168, B)))) | ((~less_3(bitIndex2)) | (v84(constB168, bitIndex2) <=> v123(constB168, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB168, B) <=> v123(constB168, B)))) | (~less_3(bitIndex2)) | (v84(constB168, bitIndex2) <=> v123(constB168, bitIndex2)))),
% 9.18/6.76 inference(rewrite,[status(thm)],[])).
% 9.18/6.76 tff(23475,plain,
% 9.18/6.76 ((~![B: $i] : ((~less_3(B)) | (v84(constB168, B) <=> v123(constB168, B)))) | ((~less_3(bitIndex2)) | (v84(constB168, bitIndex2) <=> v123(constB168, bitIndex2)))),
% 9.18/6.76 inference(quant_inst,[status(thm)],[])).
% 9.18/6.76 tff(23476,plain,
% 9.18/6.76 ((~![B: $i] : ((~less_3(B)) | (v84(constB168, B) <=> v123(constB168, B)))) | (~less_3(bitIndex2)) | (v84(constB168, bitIndex2) <=> v123(constB168, bitIndex2))),
% 9.18/6.76 inference(modus_ponens,[status(thm)],[23475, 23474])).
% 9.18/6.76 tff(23477,plain,
% 9.18/6.76 (v84(constB168, bitIndex2) <=> v123(constB168, bitIndex2)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[23476, 832, 23473])).
% 9.18/6.76 tff(23478,plain,
% 9.18/6.76 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB167, constB168)) | ![B: $i] : ((~less_3(B)) | (v123(constB168, B) <=> v121(constB167, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB167, constB168)) | ![B: $i] : ((~less_3(B)) | (v123(constB168, B) <=> v121(constB167, B))))),
% 9.18/6.76 inference(rewrite,[status(thm)],[])).
% 9.18/6.76 tff(23479,plain,
% 9.18/6.76 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB167, constB168)) | ![B: $i] : ((~less_3(B)) | (v123(constB168, B) <=> v121(constB167, B))))),
% 9.18/6.76 inference(quant_inst,[status(thm)],[])).
% 9.18/6.76 tff(23480,plain,
% 9.18/6.76 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB167, constB168)) | ![B: $i] : ((~less_3(B)) | (v123(constB168, B) <=> v121(constB167, B)))),
% 9.18/6.76 inference(modus_ponens,[status(thm)],[23479, 23478])).
% 9.18/6.76 tff(23481,plain,
% 9.18/6.76 (![B: $i] : ((~less_3(B)) | (v123(constB168, B) <=> v121(constB167, B)))),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[23480, 2100, 9924])).
% 9.18/6.76 tff(23482,plain,
% 9.18/6.76 (((~![B: $i] : ((~less_3(B)) | (v123(constB168, B) <=> v121(constB167, B)))) | ((~less_3(bitIndex2)) | (v123(constB168, bitIndex2) <=> v121(constB167, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB168, B) <=> v121(constB167, B)))) | (~less_3(bitIndex2)) | (v123(constB168, bitIndex2) <=> v121(constB167, bitIndex2)))),
% 9.18/6.76 inference(rewrite,[status(thm)],[])).
% 9.18/6.76 tff(23483,plain,
% 9.18/6.76 ((~![B: $i] : ((~less_3(B)) | (v123(constB168, B) <=> v121(constB167, B)))) | ((~less_3(bitIndex2)) | (v123(constB168, bitIndex2) <=> v121(constB167, bitIndex2)))),
% 9.18/6.76 inference(quant_inst,[status(thm)],[])).
% 9.18/6.76 tff(23484,plain,
% 9.18/6.76 ((~![B: $i] : ((~less_3(B)) | (v123(constB168, B) <=> v121(constB167, B)))) | (~less_3(bitIndex2)) | (v123(constB168, bitIndex2) <=> v121(constB167, bitIndex2))),
% 9.18/6.76 inference(modus_ponens,[status(thm)],[23483, 23482])).
% 9.18/6.76 tff(23485,plain,
% 9.18/6.76 (v123(constB168, bitIndex2) <=> v121(constB167, bitIndex2)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[23484, 832, 23481])).
% 9.18/6.76 tff(23486,plain,
% 9.18/6.76 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB167) | ![B: $i] : ((~less_3(B)) | (v121(constB167, B) <=> v124(constB167, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB167) | ![B: $i] : ((~less_3(B)) | (v121(constB167, B) <=> v124(constB167, B))))),
% 9.18/6.76 inference(rewrite,[status(thm)],[])).
% 9.18/6.76 tff(23487,plain,
% 9.18/6.76 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB167) | ![B: $i] : ((~less_3(B)) | (v121(constB167, B) <=> v124(constB167, B))))),
% 9.18/6.76 inference(quant_inst,[status(thm)],[])).
% 9.18/6.76 tff(23488,plain,
% 9.18/6.76 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB167) | ![B: $i] : ((~less_3(B)) | (v121(constB167, B) <=> v124(constB167, B)))),
% 9.18/6.76 inference(modus_ponens,[status(thm)],[23487, 23486])).
% 9.18/6.76 tff(23489,plain,
% 9.18/6.76 (![B: $i] : ((~less_3(B)) | (v121(constB167, B) <=> v124(constB167, B)))),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[23488, 9945, 23450])).
% 9.18/6.76 tff(23490,plain,
% 9.18/6.76 (((~![B: $i] : ((~less_3(B)) | (v121(constB167, B) <=> v124(constB167, B)))) | ((~less_3(bitIndex2)) | (v121(constB167, bitIndex2) <=> v124(constB167, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB167, B) <=> v124(constB167, B)))) | (~less_3(bitIndex2)) | (v121(constB167, bitIndex2) <=> v124(constB167, bitIndex2)))),
% 9.18/6.76 inference(rewrite,[status(thm)],[])).
% 9.18/6.76 tff(23491,plain,
% 9.18/6.76 ((~![B: $i] : ((~less_3(B)) | (v121(constB167, B) <=> v124(constB167, B)))) | ((~less_3(bitIndex2)) | (v121(constB167, bitIndex2) <=> v124(constB167, bitIndex2)))),
% 9.18/6.76 inference(quant_inst,[status(thm)],[])).
% 9.18/6.76 tff(23492,plain,
% 9.18/6.76 ((~![B: $i] : ((~less_3(B)) | (v121(constB167, B) <=> v124(constB167, B)))) | (~less_3(bitIndex2)) | (v121(constB167, bitIndex2) <=> v124(constB167, bitIndex2))),
% 9.18/6.76 inference(modus_ponens,[status(thm)],[23491, 23490])).
% 9.18/6.76 tff(23493,plain,
% 9.18/6.76 (v121(constB167, bitIndex2) <=> v124(constB167, bitIndex2)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[23492, 832, 23489])).
% 9.18/6.76 tff(23494,plain,
% 9.18/6.76 (((~![VarCurr: $i] : ((~v118(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b110(B))))) | ((~v118(constB167)) | ![B: $i] : ((~less_3(B)) | (v124(constB167, B) <=> b110(B))))) <=> ((~![VarCurr: $i] : ((~v118(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b110(B))))) | (~v118(constB167)) | ![B: $i] : ((~less_3(B)) | (v124(constB167, B) <=> b110(B))))),
% 9.18/6.76 inference(rewrite,[status(thm)],[])).
% 9.18/6.76 tff(23495,plain,
% 9.18/6.76 ((~![VarCurr: $i] : ((~v118(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b110(B))))) | ((~v118(constB167)) | ![B: $i] : ((~less_3(B)) | (v124(constB167, B) <=> b110(B))))),
% 9.18/6.76 inference(quant_inst,[status(thm)],[])).
% 9.18/6.76 tff(23496,plain,
% 9.18/6.76 ((~![VarCurr: $i] : ((~v118(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b110(B))))) | (~v118(constB167)) | ![B: $i] : ((~less_3(B)) | (v124(constB167, B) <=> b110(B)))),
% 9.18/6.76 inference(modus_ponens,[status(thm)],[23495, 23494])).
% 9.18/6.76 tff(23497,plain,
% 9.18/6.76 ((~v118(constB167)) | ![B: $i] : ((~less_3(B)) | (v124(constB167, B) <=> b110(B)))),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[23496, 10845])).
% 9.18/6.76 tff(23498,plain,
% 9.18/6.76 (![B: $i] : ((~less_3(B)) | (v124(constB167, B) <=> b110(B)))),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[23497, 23433])).
% 9.18/6.76 tff(23499,plain,
% 9.18/6.76 (((~![B: $i] : ((~less_3(B)) | (v124(constB167, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v124(constB167, bitIndex2) <=> b110(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB167, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v124(constB167, bitIndex2) <=> b110(bitIndex2)))),
% 9.18/6.76 inference(rewrite,[status(thm)],[])).
% 9.18/6.76 tff(23500,plain,
% 9.18/6.76 ((~![B: $i] : ((~less_3(B)) | (v124(constB167, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v124(constB167, bitIndex2) <=> b110(bitIndex2)))),
% 9.18/6.76 inference(quant_inst,[status(thm)],[])).
% 9.18/6.76 tff(23501,plain,
% 9.18/6.76 ((~![B: $i] : ((~less_3(B)) | (v124(constB167, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v124(constB167, bitIndex2) <=> b110(bitIndex2))),
% 9.18/6.76 inference(modus_ponens,[status(thm)],[23500, 23499])).
% 9.18/6.76 tff(23502,plain,
% 9.18/6.76 (v124(constB167, bitIndex2) <=> b110(bitIndex2)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[23501, 832, 23498])).
% 9.18/6.76 tff(23503,plain,
% 9.18/6.76 ((~(v124(constB167, bitIndex2) <=> b110(bitIndex2))) | v124(constB167, bitIndex2) | (~b110(bitIndex2))),
% 9.18/6.76 inference(tautology,[status(thm)],[])).
% 9.18/6.76 tff(23504,plain,
% 9.18/6.76 ((~(v124(constB167, bitIndex2) <=> b110(bitIndex2))) | v124(constB167, bitIndex2)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[23503, 10857])).
% 9.18/6.76 tff(23505,plain,
% 9.18/6.76 (v124(constB167, bitIndex2)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[23504, 23502])).
% 9.18/6.76 tff(23506,plain,
% 9.18/6.76 ((~(v121(constB167, bitIndex2) <=> v124(constB167, bitIndex2))) | v121(constB167, bitIndex2) | (~v124(constB167, bitIndex2))),
% 9.18/6.76 inference(tautology,[status(thm)],[])).
% 9.18/6.76 tff(23507,plain,
% 9.18/6.76 (v121(constB167, bitIndex2)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[23506, 23505, 23493])).
% 9.18/6.76 tff(23508,plain,
% 9.18/6.76 ((~(v123(constB168, bitIndex2) <=> v121(constB167, bitIndex2))) | v123(constB168, bitIndex2) | (~v121(constB167, bitIndex2))),
% 9.18/6.76 inference(tautology,[status(thm)],[])).
% 9.18/6.76 tff(23509,plain,
% 9.18/6.76 (v123(constB168, bitIndex2)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[23508, 23507, 23485])).
% 9.18/6.76 tff(23510,plain,
% 9.18/6.76 ((~(v84(constB168, bitIndex2) <=> v123(constB168, bitIndex2))) | v84(constB168, bitIndex2) | (~v123(constB168, bitIndex2))),
% 9.18/6.76 inference(tautology,[status(thm)],[])).
% 9.18/6.76 tff(23511,plain,
% 9.18/6.76 (v84(constB168, bitIndex2)),
% 9.18/6.76 inference(unit_resolution,[status(thm)],[23510, 23509, 23477])).
% 9.18/6.76 tff(23512,plain,
% 9.18/6.76 ((~(v84(constB169, bitIndex2) <=> v84(constB168, bitIndex2))) | v84(constB169, bitIndex2) | (~v84(constB168, bitIndex2))),
% 9.18/6.77 inference(tautology,[status(thm)],[])).
% 9.18/6.77 tff(23513,plain,
% 9.18/6.77 (v84(constB169, bitIndex2)),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[23512, 23511, 2097])).
% 9.18/6.77 tff(23514,plain,
% 9.18/6.77 (((~![B: $i] : ((~less_3(B)) | (v84(constB169, B) <=> v84(constB168, B)))) | ((~less_3(bitIndex0)) | (v84(constB169, bitIndex0) <=> v84(constB168, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB169, B) <=> v84(constB168, B)))) | (~less_3(bitIndex0)) | (v84(constB169, bitIndex0) <=> v84(constB168, bitIndex0)))),
% 9.18/6.77 inference(rewrite,[status(thm)],[])).
% 9.18/6.77 tff(23515,plain,
% 9.18/6.77 ((~![B: $i] : ((~less_3(B)) | (v84(constB169, B) <=> v84(constB168, B)))) | ((~less_3(bitIndex0)) | (v84(constB169, bitIndex0) <=> v84(constB168, bitIndex0)))),
% 9.18/6.77 inference(quant_inst,[status(thm)],[])).
% 9.18/6.77 tff(23516,plain,
% 9.18/6.77 ((~![B: $i] : ((~less_3(B)) | (v84(constB169, B) <=> v84(constB168, B)))) | (~less_3(bitIndex0)) | (v84(constB169, bitIndex0) <=> v84(constB168, bitIndex0))),
% 9.18/6.77 inference(modus_ponens,[status(thm)],[23515, 23514])).
% 9.18/6.77 tff(23517,plain,
% 9.18/6.77 (v84(constB169, bitIndex0) <=> v84(constB168, bitIndex0)),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[23516, 9772, 2093])).
% 9.18/6.77 tff(23518,plain,
% 9.18/6.77 (((~![B: $i] : ((~less_3(B)) | (v84(constB168, B) <=> v123(constB168, B)))) | ((~less_3(bitIndex0)) | (v84(constB168, bitIndex0) <=> v123(constB168, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB168, B) <=> v123(constB168, B)))) | (~less_3(bitIndex0)) | (v84(constB168, bitIndex0) <=> v123(constB168, bitIndex0)))),
% 9.18/6.77 inference(rewrite,[status(thm)],[])).
% 9.18/6.77 tff(23519,plain,
% 9.18/6.77 ((~![B: $i] : ((~less_3(B)) | (v84(constB168, B) <=> v123(constB168, B)))) | ((~less_3(bitIndex0)) | (v84(constB168, bitIndex0) <=> v123(constB168, bitIndex0)))),
% 9.18/6.77 inference(quant_inst,[status(thm)],[])).
% 9.18/6.77 tff(23520,plain,
% 9.18/6.77 ((~![B: $i] : ((~less_3(B)) | (v84(constB168, B) <=> v123(constB168, B)))) | (~less_3(bitIndex0)) | (v84(constB168, bitIndex0) <=> v123(constB168, bitIndex0))),
% 9.18/6.77 inference(modus_ponens,[status(thm)],[23519, 23518])).
% 9.18/6.77 tff(23521,plain,
% 9.18/6.77 (v84(constB168, bitIndex0) <=> v123(constB168, bitIndex0)),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[23520, 9772, 23473])).
% 9.18/6.77 tff(23522,plain,
% 9.18/6.77 (((~![B: $i] : ((~less_3(B)) | (v123(constB168, B) <=> v121(constB167, B)))) | ((~less_3(bitIndex0)) | (v123(constB168, bitIndex0) <=> v121(constB167, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB168, B) <=> v121(constB167, B)))) | (~less_3(bitIndex0)) | (v123(constB168, bitIndex0) <=> v121(constB167, bitIndex0)))),
% 9.18/6.77 inference(rewrite,[status(thm)],[])).
% 9.18/6.77 tff(23523,plain,
% 9.18/6.77 ((~![B: $i] : ((~less_3(B)) | (v123(constB168, B) <=> v121(constB167, B)))) | ((~less_3(bitIndex0)) | (v123(constB168, bitIndex0) <=> v121(constB167, bitIndex0)))),
% 9.18/6.77 inference(quant_inst,[status(thm)],[])).
% 9.18/6.77 tff(23524,plain,
% 9.18/6.77 ((~![B: $i] : ((~less_3(B)) | (v123(constB168, B) <=> v121(constB167, B)))) | (~less_3(bitIndex0)) | (v123(constB168, bitIndex0) <=> v121(constB167, bitIndex0))),
% 9.18/6.77 inference(modus_ponens,[status(thm)],[23523, 23522])).
% 9.18/6.77 tff(23525,plain,
% 9.18/6.77 (v123(constB168, bitIndex0) <=> v121(constB167, bitIndex0)),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[23524, 9772, 23481])).
% 9.18/6.77 tff(23526,plain,
% 9.18/6.77 (((~![B: $i] : ((~less_3(B)) | (v121(constB167, B) <=> v124(constB167, B)))) | ((~less_3(bitIndex0)) | (v121(constB167, bitIndex0) <=> v124(constB167, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB167, B) <=> v124(constB167, B)))) | (~less_3(bitIndex0)) | (v121(constB167, bitIndex0) <=> v124(constB167, bitIndex0)))),
% 9.18/6.77 inference(rewrite,[status(thm)],[])).
% 9.18/6.77 tff(23527,plain,
% 9.18/6.77 ((~![B: $i] : ((~less_3(B)) | (v121(constB167, B) <=> v124(constB167, B)))) | ((~less_3(bitIndex0)) | (v121(constB167, bitIndex0) <=> v124(constB167, bitIndex0)))),
% 9.18/6.77 inference(quant_inst,[status(thm)],[])).
% 9.18/6.77 tff(23528,plain,
% 9.18/6.77 ((~![B: $i] : ((~less_3(B)) | (v121(constB167, B) <=> v124(constB167, B)))) | (~less_3(bitIndex0)) | (v121(constB167, bitIndex0) <=> v124(constB167, bitIndex0))),
% 9.18/6.77 inference(modus_ponens,[status(thm)],[23527, 23526])).
% 9.18/6.77 tff(23529,plain,
% 9.18/6.77 (v121(constB167, bitIndex0) <=> v124(constB167, bitIndex0)),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[23528, 9772, 23489])).
% 9.18/6.77 tff(23530,plain,
% 9.18/6.77 (((~![B: $i] : ((~less_3(B)) | (v124(constB167, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v124(constB167, bitIndex0) <=> b110(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB167, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v124(constB167, bitIndex0) <=> b110(bitIndex0)))),
% 9.18/6.77 inference(rewrite,[status(thm)],[])).
% 9.18/6.77 tff(23531,plain,
% 9.18/6.77 ((~![B: $i] : ((~less_3(B)) | (v124(constB167, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v124(constB167, bitIndex0) <=> b110(bitIndex0)))),
% 9.18/6.77 inference(quant_inst,[status(thm)],[])).
% 9.18/6.77 tff(23532,plain,
% 9.18/6.77 ((~![B: $i] : ((~less_3(B)) | (v124(constB167, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v124(constB167, bitIndex0) <=> b110(bitIndex0))),
% 9.18/6.77 inference(modus_ponens,[status(thm)],[23531, 23530])).
% 9.18/6.77 tff(23533,plain,
% 9.18/6.77 (v124(constB167, bitIndex0) <=> b110(bitIndex0)),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[23532, 9772, 23498])).
% 9.18/6.77 tff(23534,plain,
% 9.18/6.77 ((~(v124(constB167, bitIndex0) <=> b110(bitIndex0))) | (~v124(constB167, bitIndex0)) | b110(bitIndex0)),
% 9.18/6.77 inference(tautology,[status(thm)],[])).
% 9.18/6.77 tff(23535,plain,
% 9.18/6.77 ((~(v124(constB167, bitIndex0) <=> b110(bitIndex0))) | (~v124(constB167, bitIndex0))),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[23534, 10891])).
% 9.18/6.77 tff(23536,plain,
% 9.18/6.77 (~v124(constB167, bitIndex0)),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[23535, 23533])).
% 9.18/6.77 tff(23537,plain,
% 9.18/6.77 ((~(v121(constB167, bitIndex0) <=> v124(constB167, bitIndex0))) | (~v121(constB167, bitIndex0)) | v124(constB167, bitIndex0)),
% 9.18/6.77 inference(tautology,[status(thm)],[])).
% 9.18/6.77 tff(23538,plain,
% 9.18/6.77 (~v121(constB167, bitIndex0)),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[23537, 23536, 23529])).
% 9.18/6.77 tff(23539,plain,
% 9.18/6.77 ((~(v123(constB168, bitIndex0) <=> v121(constB167, bitIndex0))) | (~v123(constB168, bitIndex0)) | v121(constB167, bitIndex0)),
% 9.18/6.77 inference(tautology,[status(thm)],[])).
% 9.18/6.77 tff(23540,plain,
% 9.18/6.77 (~v123(constB168, bitIndex0)),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[23539, 23538, 23525])).
% 9.18/6.77 tff(23541,plain,
% 9.18/6.77 ((~(v84(constB168, bitIndex0) <=> v123(constB168, bitIndex0))) | (~v84(constB168, bitIndex0)) | v123(constB168, bitIndex0)),
% 9.18/6.77 inference(tautology,[status(thm)],[])).
% 9.18/6.77 tff(23542,plain,
% 9.18/6.77 (~v84(constB168, bitIndex0)),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[23541, 23540, 23521])).
% 9.18/6.77 tff(23543,plain,
% 9.18/6.77 ((~(v84(constB169, bitIndex0) <=> v84(constB168, bitIndex0))) | (~v84(constB169, bitIndex0)) | v84(constB168, bitIndex0)),
% 9.18/6.77 inference(tautology,[status(thm)],[])).
% 9.18/6.77 tff(23544,plain,
% 9.18/6.77 (~v84(constB169, bitIndex0)),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[23543, 23542, 23517])).
% 9.18/6.77 tff(23545,plain,
% 9.18/6.77 (((~![B: $i] : ((~less_3(B)) | (v84(constB169, B) <=> v84(constB168, B)))) | ((~less_3(bitIndex1)) | (v84(constB169, bitIndex1) <=> v84(constB168, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB169, B) <=> v84(constB168, B)))) | (~less_3(bitIndex1)) | (v84(constB169, bitIndex1) <=> v84(constB168, bitIndex1)))),
% 9.18/6.77 inference(rewrite,[status(thm)],[])).
% 9.18/6.77 tff(23546,plain,
% 9.18/6.77 ((~![B: $i] : ((~less_3(B)) | (v84(constB169, B) <=> v84(constB168, B)))) | ((~less_3(bitIndex1)) | (v84(constB169, bitIndex1) <=> v84(constB168, bitIndex1)))),
% 9.18/6.77 inference(quant_inst,[status(thm)],[])).
% 9.18/6.77 tff(23547,plain,
% 9.18/6.77 ((~![B: $i] : ((~less_3(B)) | (v84(constB169, B) <=> v84(constB168, B)))) | (~less_3(bitIndex1)) | (v84(constB169, bitIndex1) <=> v84(constB168, bitIndex1))),
% 9.18/6.77 inference(modus_ponens,[status(thm)],[23546, 23545])).
% 9.18/6.77 tff(23548,plain,
% 9.18/6.77 (v84(constB169, bitIndex1) <=> v84(constB168, bitIndex1)),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[23547, 9785, 2093])).
% 9.18/6.77 tff(23549,plain,
% 9.18/6.77 (((~![B: $i] : ((~less_3(B)) | (v84(constB168, B) <=> v123(constB168, B)))) | ((~less_3(bitIndex1)) | (v84(constB168, bitIndex1) <=> v123(constB168, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB168, B) <=> v123(constB168, B)))) | (~less_3(bitIndex1)) | (v84(constB168, bitIndex1) <=> v123(constB168, bitIndex1)))),
% 9.18/6.77 inference(rewrite,[status(thm)],[])).
% 9.18/6.77 tff(23550,plain,
% 9.18/6.77 ((~![B: $i] : ((~less_3(B)) | (v84(constB168, B) <=> v123(constB168, B)))) | ((~less_3(bitIndex1)) | (v84(constB168, bitIndex1) <=> v123(constB168, bitIndex1)))),
% 9.18/6.77 inference(quant_inst,[status(thm)],[])).
% 9.18/6.77 tff(23551,plain,
% 9.18/6.77 ((~![B: $i] : ((~less_3(B)) | (v84(constB168, B) <=> v123(constB168, B)))) | (~less_3(bitIndex1)) | (v84(constB168, bitIndex1) <=> v123(constB168, bitIndex1))),
% 9.18/6.77 inference(modus_ponens,[status(thm)],[23550, 23549])).
% 9.18/6.77 tff(23552,plain,
% 9.18/6.77 (v84(constB168, bitIndex1) <=> v123(constB168, bitIndex1)),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[23551, 9785, 23473])).
% 9.18/6.77 tff(23553,plain,
% 9.18/6.77 (((~![B: $i] : ((~less_3(B)) | (v123(constB168, B) <=> v121(constB167, B)))) | ((~less_3(bitIndex1)) | (v123(constB168, bitIndex1) <=> v121(constB167, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB168, B) <=> v121(constB167, B)))) | (~less_3(bitIndex1)) | (v123(constB168, bitIndex1) <=> v121(constB167, bitIndex1)))),
% 9.18/6.77 inference(rewrite,[status(thm)],[])).
% 9.18/6.77 tff(23554,plain,
% 9.18/6.77 ((~![B: $i] : ((~less_3(B)) | (v123(constB168, B) <=> v121(constB167, B)))) | ((~less_3(bitIndex1)) | (v123(constB168, bitIndex1) <=> v121(constB167, bitIndex1)))),
% 9.18/6.77 inference(quant_inst,[status(thm)],[])).
% 9.18/6.77 tff(23555,plain,
% 9.18/6.77 ((~![B: $i] : ((~less_3(B)) | (v123(constB168, B) <=> v121(constB167, B)))) | (~less_3(bitIndex1)) | (v123(constB168, bitIndex1) <=> v121(constB167, bitIndex1))),
% 9.18/6.77 inference(modus_ponens,[status(thm)],[23554, 23553])).
% 9.18/6.77 tff(23556,plain,
% 9.18/6.77 (v123(constB168, bitIndex1) <=> v121(constB167, bitIndex1)),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[23555, 9785, 23481])).
% 9.18/6.77 tff(23557,plain,
% 9.18/6.77 (((~![B: $i] : ((~less_3(B)) | (v121(constB167, B) <=> v124(constB167, B)))) | ((~less_3(bitIndex1)) | (v121(constB167, bitIndex1) <=> v124(constB167, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB167, B) <=> v124(constB167, B)))) | (~less_3(bitIndex1)) | (v121(constB167, bitIndex1) <=> v124(constB167, bitIndex1)))),
% 9.18/6.77 inference(rewrite,[status(thm)],[])).
% 9.18/6.77 tff(23558,plain,
% 9.18/6.77 ((~![B: $i] : ((~less_3(B)) | (v121(constB167, B) <=> v124(constB167, B)))) | ((~less_3(bitIndex1)) | (v121(constB167, bitIndex1) <=> v124(constB167, bitIndex1)))),
% 9.18/6.77 inference(quant_inst,[status(thm)],[])).
% 9.18/6.77 tff(23559,plain,
% 9.18/6.77 ((~![B: $i] : ((~less_3(B)) | (v121(constB167, B) <=> v124(constB167, B)))) | (~less_3(bitIndex1)) | (v121(constB167, bitIndex1) <=> v124(constB167, bitIndex1))),
% 9.18/6.77 inference(modus_ponens,[status(thm)],[23558, 23557])).
% 9.18/6.77 tff(23560,plain,
% 9.18/6.77 (v121(constB167, bitIndex1) <=> v124(constB167, bitIndex1)),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[23559, 9785, 23489])).
% 9.18/6.77 tff(23561,plain,
% 9.18/6.77 (((~![B: $i] : ((~less_3(B)) | (v124(constB167, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v124(constB167, bitIndex1) <=> b110(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB167, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v124(constB167, bitIndex1) <=> b110(bitIndex1)))),
% 9.18/6.77 inference(rewrite,[status(thm)],[])).
% 9.18/6.77 tff(23562,plain,
% 9.18/6.77 ((~![B: $i] : ((~less_3(B)) | (v124(constB167, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v124(constB167, bitIndex1) <=> b110(bitIndex1)))),
% 9.18/6.77 inference(quant_inst,[status(thm)],[])).
% 9.18/6.77 tff(23563,plain,
% 9.18/6.77 ((~![B: $i] : ((~less_3(B)) | (v124(constB167, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v124(constB167, bitIndex1) <=> b110(bitIndex1))),
% 9.18/6.77 inference(modus_ponens,[status(thm)],[23562, 23561])).
% 9.18/6.77 tff(23564,plain,
% 9.18/6.77 (v124(constB167, bitIndex1) <=> b110(bitIndex1)),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[23563, 9785, 23498])).
% 9.18/6.77 tff(23565,plain,
% 9.18/6.77 ((~(v124(constB167, bitIndex1) <=> b110(bitIndex1))) | v124(constB167, bitIndex1) | (~b110(bitIndex1))),
% 9.18/6.77 inference(tautology,[status(thm)],[])).
% 9.18/6.77 tff(23566,plain,
% 9.18/6.77 ((~(v124(constB167, bitIndex1) <=> b110(bitIndex1))) | v124(constB167, bitIndex1)),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[23565, 10925])).
% 9.18/6.77 tff(23567,plain,
% 9.18/6.77 (v124(constB167, bitIndex1)),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[23566, 23564])).
% 9.18/6.77 tff(23568,plain,
% 9.18/6.77 ((~(v121(constB167, bitIndex1) <=> v124(constB167, bitIndex1))) | v121(constB167, bitIndex1) | (~v124(constB167, bitIndex1))),
% 9.18/6.77 inference(tautology,[status(thm)],[])).
% 9.18/6.77 tff(23569,plain,
% 9.18/6.77 (v121(constB167, bitIndex1)),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[23568, 23567, 23560])).
% 9.18/6.77 tff(23570,plain,
% 9.18/6.77 ((~(v123(constB168, bitIndex1) <=> v121(constB167, bitIndex1))) | v123(constB168, bitIndex1) | (~v121(constB167, bitIndex1))),
% 9.18/6.77 inference(tautology,[status(thm)],[])).
% 9.18/6.77 tff(23571,plain,
% 9.18/6.77 (v123(constB168, bitIndex1)),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[23570, 23569, 23556])).
% 9.18/6.77 tff(23572,plain,
% 9.18/6.77 ((~(v84(constB168, bitIndex1) <=> v123(constB168, bitIndex1))) | v84(constB168, bitIndex1) | (~v123(constB168, bitIndex1))),
% 9.18/6.77 inference(tautology,[status(thm)],[])).
% 9.18/6.77 tff(23573,plain,
% 9.18/6.77 (v84(constB168, bitIndex1)),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[23572, 23571, 23552])).
% 9.18/6.77 tff(23574,plain,
% 9.18/6.77 ((~(v84(constB169, bitIndex1) <=> v84(constB168, bitIndex1))) | v84(constB169, bitIndex1) | (~v84(constB168, bitIndex1))),
% 9.18/6.77 inference(tautology,[status(thm)],[])).
% 9.18/6.77 tff(23575,plain,
% 9.18/6.77 (v84(constB169, bitIndex1)),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[23574, 23573, 23548])).
% 9.18/6.77 tff(23576,plain,
% 9.18/6.77 ((~((~v84(constB169, bitIndex2)) | (~v84(constB169, bitIndex1)) | v84(constB169, bitIndex0))) | (~v84(constB169, bitIndex2)) | (~v84(constB169, bitIndex1)) | v84(constB169, bitIndex0)),
% 9.18/6.77 inference(tautology,[status(thm)],[])).
% 9.18/6.77 tff(23577,plain,
% 9.18/6.77 (~((~v84(constB169, bitIndex2)) | (~v84(constB169, bitIndex1)) | v84(constB169, bitIndex0))),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[23576, 23575, 23544, 23513])).
% 9.18/6.77 tff(23578,plain,
% 9.18/6.77 ((~(v119(constB169) <=> (~((~v84(constB169, bitIndex2)) | (~v84(constB169, bitIndex1)) | v84(constB169, bitIndex0))))) | v119(constB169) | ((~v84(constB169, bitIndex2)) | (~v84(constB169, bitIndex1)) | v84(constB169, bitIndex0))),
% 9.18/6.77 inference(tautology,[status(thm)],[])).
% 9.18/6.77 tff(23579,plain,
% 9.18/6.77 (v119(constB169)),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[23578, 23577, 2065])).
% 9.18/6.77 tff(23580,plain,
% 9.18/6.77 ((v108(constB169) | v119(constB169)) | (~v119(constB169))),
% 9.18/6.77 inference(tautology,[status(thm)],[])).
% 9.18/6.77 tff(23581,plain,
% 9.18/6.77 (v108(constB169) | v119(constB169)),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[23580, 23579])).
% 9.18/6.77 tff(23582,plain,
% 9.18/6.77 ((~(v107(constB169) <=> (v108(constB169) | v119(constB169)))) | v107(constB169) | (~(v108(constB169) | v119(constB169)))),
% 9.18/6.77 inference(tautology,[status(thm)],[])).
% 9.18/6.77 tff(23583,plain,
% 9.18/6.77 (v107(constB169)),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[23582, 23581, 2058])).
% 9.18/6.77 tff(23584,plain,
% 9.18/6.77 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB169)) <=> v105(constB169))),
% 9.18/6.77 inference(quant_inst,[status(thm)],[])).
% 9.18/6.77 tff(23585,plain,
% 9.18/6.77 ((~v120(constB169)) <=> v105(constB169)),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[23584, 9842])).
% 9.18/6.77 tff(23586,plain,
% 9.18/6.77 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB169) <=> v26(constB169))),
% 9.18/6.77 inference(quant_inst,[status(thm)],[])).
% 9.18/6.77 tff(23587,plain,
% 9.18/6.77 (v105(constB169) <=> v26(constB169)),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[23586, 9854])).
% 9.18/6.77 tff(23588,plain,
% 9.18/6.77 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB169))),
% 9.18/6.77 inference(quant_inst,[status(thm)],[])).
% 9.18/6.77 tff(23589,plain,
% 9.18/6.77 (~v26(constB169)),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[23588, 9866])).
% 9.18/6.77 tff(23590,plain,
% 9.18/6.77 ((~(v105(constB169) <=> v26(constB169))) | (~v105(constB169)) | v26(constB169)),
% 9.18/6.77 inference(tautology,[status(thm)],[])).
% 9.18/6.77 tff(23591,plain,
% 9.18/6.77 ((~(v105(constB169) <=> v26(constB169))) | (~v105(constB169))),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[23590, 23589])).
% 9.18/6.77 tff(23592,plain,
% 9.18/6.77 (~v105(constB169)),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[23591, 23587])).
% 9.18/6.77 tff(23593,plain,
% 9.18/6.77 ((~((~v120(constB169)) <=> v105(constB169))) | v120(constB169) | v105(constB169)),
% 9.18/6.77 inference(tautology,[status(thm)],[])).
% 9.18/6.77 tff(23594,plain,
% 9.18/6.77 ((~((~v120(constB169)) <=> v105(constB169))) | v120(constB169)),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[23593, 23592])).
% 9.18/6.77 tff(23595,plain,
% 9.18/6.77 (v120(constB169)),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[23594, 23585])).
% 9.18/6.77 tff(23596,plain,
% 9.18/6.77 ((~((~v107(constB169)) | (~v120(constB169)))) | (~v107(constB169)) | (~v120(constB169))),
% 9.18/6.77 inference(tautology,[status(thm)],[])).
% 9.18/6.77 tff(23597,plain,
% 9.18/6.77 ((~((~v107(constB169)) | (~v120(constB169)))) | (~v107(constB169))),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[23596, 23595])).
% 9.18/6.77 tff(23598,plain,
% 9.18/6.77 (~((~v107(constB169)) | (~v120(constB169)))),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[23597, 23583])).
% 9.18/6.77 tff(23599,plain,
% 9.18/6.77 ((~(v106(constB169) <=> (~((~v107(constB169)) | (~v120(constB169)))))) | v106(constB169) | ((~v107(constB169)) | (~v120(constB169)))),
% 9.18/6.77 inference(tautology,[status(thm)],[])).
% 9.18/6.77 tff(23600,plain,
% 9.18/6.77 (v106(constB169)),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[23599, 23598, 2056])).
% 9.18/6.77 tff(23601,plain,
% 9.18/6.77 ((v105(constB169) | v106(constB169)) | (~v106(constB169))),
% 9.18/6.77 inference(tautology,[status(thm)],[])).
% 9.18/6.77 tff(23602,plain,
% 9.18/6.77 (v105(constB169) | v106(constB169)),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[23601, 23600])).
% 9.18/6.77 tff(23603,plain,
% 9.18/6.77 ((~(v102(constB169) <=> (v105(constB169) | v106(constB169)))) | v102(constB169) | (~(v105(constB169) | v106(constB169)))),
% 9.18/6.77 inference(tautology,[status(thm)],[])).
% 9.18/6.77 tff(23604,plain,
% 9.18/6.77 (v102(constB169)),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[23603, 23602, 2054])).
% 9.18/6.77 tff(23605,plain,
% 9.18/6.77 ((~(v104(constB170) <=> v102(constB169))) | v104(constB170) | (~v102(constB169))),
% 9.18/6.77 inference(tautology,[status(thm)],[])).
% 9.18/6.77 tff(23606,plain,
% 9.18/6.77 (v104(constB170)),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[23605, 23604, 2052])).
% 9.18/6.77 tff(23607,plain,
% 9.18/6.77 ((~((~v104(constB170)) | (~v95(constB170)))) | (~v104(constB170)) | (~v95(constB170))),
% 9.18/6.77 inference(tautology,[status(thm)],[])).
% 9.18/6.77 tff(23608,plain,
% 9.18/6.77 (~((~v104(constB170)) | (~v95(constB170)))),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[23607, 23606, 2048])).
% 9.18/6.77 tff(23609,plain,
% 9.18/6.77 ((~(v94(constB170) <=> (~((~v104(constB170)) | (~v95(constB170)))))) | v94(constB170) | ((~v104(constB170)) | (~v95(constB170)))),
% 9.18/6.77 inference(tautology,[status(thm)],[])).
% 9.18/6.77 tff(23610,plain,
% 9.18/6.77 (v94(constB170)),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[23609, 23608, 2017])).
% 9.18/6.77 tff(23611,plain,
% 9.18/6.77 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB170)) | ![B: $i] : ((~less_3(B)) | (v84(constB170, B) <=> v123(constB170, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB170)) | ![B: $i] : ((~less_3(B)) | (v84(constB170, B) <=> v123(constB170, B))))),
% 9.18/6.77 inference(rewrite,[status(thm)],[])).
% 9.18/6.77 tff(23612,plain,
% 9.18/6.77 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB170)) | ![B: $i] : ((~less_3(B)) | (v84(constB170, B) <=> v123(constB170, B))))),
% 9.18/6.77 inference(quant_inst,[status(thm)],[])).
% 9.18/6.77 tff(23613,plain,
% 9.18/6.77 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB170)) | ![B: $i] : ((~less_3(B)) | (v84(constB170, B) <=> v123(constB170, B)))),
% 9.18/6.77 inference(modus_ponens,[status(thm)],[23612, 23611])).
% 9.18/6.77 tff(23614,plain,
% 9.18/6.77 ((~v94(constB170)) | ![B: $i] : ((~less_3(B)) | (v84(constB170, B) <=> v123(constB170, B)))),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[23613, 9902])).
% 9.18/6.77 tff(23615,plain,
% 9.18/6.77 (![B: $i] : ((~less_3(B)) | (v84(constB170, B) <=> v123(constB170, B)))),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[23614, 23610])).
% 9.18/6.77 tff(23616,plain,
% 9.18/6.77 (((~![B: $i] : ((~less_3(B)) | (v84(constB170, B) <=> v123(constB170, B)))) | ((~less_3(bitIndex2)) | (v84(constB170, bitIndex2) <=> v123(constB170, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB170, B) <=> v123(constB170, B)))) | (~less_3(bitIndex2)) | (v84(constB170, bitIndex2) <=> v123(constB170, bitIndex2)))),
% 9.18/6.77 inference(rewrite,[status(thm)],[])).
% 9.18/6.77 tff(23617,plain,
% 9.18/6.77 ((~![B: $i] : ((~less_3(B)) | (v84(constB170, B) <=> v123(constB170, B)))) | ((~less_3(bitIndex2)) | (v84(constB170, bitIndex2) <=> v123(constB170, bitIndex2)))),
% 9.18/6.77 inference(quant_inst,[status(thm)],[])).
% 9.18/6.77 tff(23618,plain,
% 9.18/6.77 ((~![B: $i] : ((~less_3(B)) | (v84(constB170, B) <=> v123(constB170, B)))) | (~less_3(bitIndex2)) | (v84(constB170, bitIndex2) <=> v123(constB170, bitIndex2))),
% 9.18/6.77 inference(modus_ponens,[status(thm)],[23617, 23616])).
% 9.18/6.77 tff(23619,plain,
% 9.18/6.77 (v84(constB170, bitIndex2) <=> v123(constB170, bitIndex2)),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[23618, 832, 23615])).
% 9.18/6.77 tff(23620,plain,
% 9.18/6.77 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB169, constB170)) | ![B: $i] : ((~less_3(B)) | (v123(constB170, B) <=> v121(constB169, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB169, constB170)) | ![B: $i] : ((~less_3(B)) | (v123(constB170, B) <=> v121(constB169, B))))),
% 9.18/6.77 inference(rewrite,[status(thm)],[])).
% 9.18/6.77 tff(23621,plain,
% 9.18/6.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB169, constB170)) | ![B: $i] : ((~less_3(B)) | (v123(constB170, B) <=> v121(constB169, B))))),
% 9.18/6.77 inference(quant_inst,[status(thm)],[])).
% 9.18/6.77 tff(23622,plain,
% 9.18/6.77 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB169, constB170)) | ![B: $i] : ((~less_3(B)) | (v123(constB170, B) <=> v121(constB169, B)))),
% 9.18/6.77 inference(modus_ponens,[status(thm)],[23621, 23620])).
% 9.18/6.77 tff(23623,plain,
% 9.18/6.77 (![B: $i] : ((~less_3(B)) | (v123(constB170, B) <=> v121(constB169, B)))),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[23622, 2013, 9924])).
% 9.18/6.77 tff(23624,plain,
% 9.18/6.77 (((~![B: $i] : ((~less_3(B)) | (v123(constB170, B) <=> v121(constB169, B)))) | ((~less_3(bitIndex2)) | (v123(constB170, bitIndex2) <=> v121(constB169, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB170, B) <=> v121(constB169, B)))) | (~less_3(bitIndex2)) | (v123(constB170, bitIndex2) <=> v121(constB169, bitIndex2)))),
% 9.18/6.77 inference(rewrite,[status(thm)],[])).
% 9.18/6.77 tff(23625,plain,
% 9.18/6.77 ((~![B: $i] : ((~less_3(B)) | (v123(constB170, B) <=> v121(constB169, B)))) | ((~less_3(bitIndex2)) | (v123(constB170, bitIndex2) <=> v121(constB169, bitIndex2)))),
% 9.18/6.77 inference(quant_inst,[status(thm)],[])).
% 9.18/6.77 tff(23626,plain,
% 9.18/6.77 ((~![B: $i] : ((~less_3(B)) | (v123(constB170, B) <=> v121(constB169, B)))) | (~less_3(bitIndex2)) | (v123(constB170, bitIndex2) <=> v121(constB169, bitIndex2))),
% 9.18/6.77 inference(modus_ponens,[status(thm)],[23625, 23624])).
% 9.18/6.77 tff(23627,plain,
% 9.18/6.77 (v123(constB170, bitIndex2) <=> v121(constB169, bitIndex2)),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[23626, 832, 23623])).
% 9.18/6.77 tff(23628,plain,
% 9.18/6.77 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB169) | ![B: $i] : ((~less_3(B)) | (v121(constB169, B) <=> v124(constB169, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB169) | ![B: $i] : ((~less_3(B)) | (v121(constB169, B) <=> v124(constB169, B))))),
% 9.18/6.77 inference(rewrite,[status(thm)],[])).
% 9.18/6.77 tff(23629,plain,
% 9.18/6.77 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB169) | ![B: $i] : ((~less_3(B)) | (v121(constB169, B) <=> v124(constB169, B))))),
% 9.18/6.77 inference(quant_inst,[status(thm)],[])).
% 9.18/6.77 tff(23630,plain,
% 9.18/6.77 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB169) | ![B: $i] : ((~less_3(B)) | (v121(constB169, B) <=> v124(constB169, B)))),
% 9.18/6.77 inference(modus_ponens,[status(thm)],[23629, 23628])).
% 9.18/6.77 tff(23631,plain,
% 9.18/6.77 (![B: $i] : ((~less_3(B)) | (v121(constB169, B) <=> v124(constB169, B)))),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[23630, 9945, 23592])).
% 9.18/6.77 tff(23632,plain,
% 9.18/6.77 (((~![B: $i] : ((~less_3(B)) | (v121(constB169, B) <=> v124(constB169, B)))) | ((~less_3(bitIndex2)) | (v121(constB169, bitIndex2) <=> v124(constB169, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB169, B) <=> v124(constB169, B)))) | (~less_3(bitIndex2)) | (v121(constB169, bitIndex2) <=> v124(constB169, bitIndex2)))),
% 9.18/6.77 inference(rewrite,[status(thm)],[])).
% 9.18/6.77 tff(23633,plain,
% 9.18/6.77 ((~![B: $i] : ((~less_3(B)) | (v121(constB169, B) <=> v124(constB169, B)))) | ((~less_3(bitIndex2)) | (v121(constB169, bitIndex2) <=> v124(constB169, bitIndex2)))),
% 9.18/6.77 inference(quant_inst,[status(thm)],[])).
% 9.18/6.77 tff(23634,plain,
% 9.18/6.77 ((~![B: $i] : ((~less_3(B)) | (v121(constB169, B) <=> v124(constB169, B)))) | (~less_3(bitIndex2)) | (v121(constB169, bitIndex2) <=> v124(constB169, bitIndex2))),
% 9.18/6.77 inference(modus_ponens,[status(thm)],[23633, 23632])).
% 9.18/6.77 tff(23635,plain,
% 9.18/6.77 (v121(constB169, bitIndex2) <=> v124(constB169, bitIndex2)),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[23634, 832, 23631])).
% 9.18/6.77 tff(23636,plain,
% 9.18/6.77 ((~![VarCurr: $i] : (v113(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))))) | (v113(constB169) <=> (~(v84(constB169, bitIndex0) | v84(constB169, bitIndex1) | v84(constB169, bitIndex2))))),
% 9.18/6.77 inference(quant_inst,[status(thm)],[])).
% 9.18/6.77 tff(23637,plain,
% 9.18/6.77 (v113(constB169) <=> (~(v84(constB169, bitIndex0) | v84(constB169, bitIndex1) | v84(constB169, bitIndex2)))),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[23636, 9739])).
% 9.18/6.77 tff(23638,plain,
% 9.18/6.77 ((v84(constB169, bitIndex0) | v84(constB169, bitIndex1) | v84(constB169, bitIndex2)) | (~v84(constB169, bitIndex2))),
% 9.18/6.77 inference(tautology,[status(thm)],[])).
% 9.18/6.77 tff(23639,plain,
% 9.18/6.77 (v84(constB169, bitIndex0) | v84(constB169, bitIndex1) | v84(constB169, bitIndex2)),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[23638, 23513])).
% 9.18/6.77 tff(23640,plain,
% 9.18/6.77 ((~(v113(constB169) <=> (~(v84(constB169, bitIndex0) | v84(constB169, bitIndex1) | v84(constB169, bitIndex2))))) | (~v113(constB169)) | (~(v84(constB169, bitIndex0) | v84(constB169, bitIndex1) | v84(constB169, bitIndex2)))),
% 9.18/6.77 inference(tautology,[status(thm)],[])).
% 9.18/6.77 tff(23641,plain,
% 9.18/6.77 (~v113(constB169)),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[23640, 23639, 23637])).
% 9.18/6.77 tff(23642,plain,
% 9.18/6.77 (((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB169) <=> (~((~v84(constB169, bitIndex2)) | v84(constB169, bitIndex1) | (~v84(constB169, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB169) <=> (~((~v84(constB169, bitIndex2)) | v84(constB169, bitIndex1) | (~v84(constB169, bitIndex0))))))),
% 9.18/6.77 inference(rewrite,[status(thm)],[])).
% 9.18/6.77 tff(23643,plain,
% 9.18/6.77 ((v118(constB169) <=> (~(v84(constB169, bitIndex1) | (~v84(constB169, bitIndex0)) | (~v84(constB169, bitIndex2))))) <=> (v118(constB169) <=> (~((~v84(constB169, bitIndex2)) | v84(constB169, bitIndex1) | (~v84(constB169, bitIndex0)))))),
% 9.18/6.77 inference(rewrite,[status(thm)],[])).
% 9.18/6.77 tff(23644,plain,
% 9.18/6.77 (((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB169) <=> (~(v84(constB169, bitIndex1) | (~v84(constB169, bitIndex0)) | (~v84(constB169, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB169) <=> (~((~v84(constB169, bitIndex2)) | v84(constB169, bitIndex1) | (~v84(constB169, bitIndex0))))))),
% 9.18/6.77 inference(monotonicity,[status(thm)],[23643])).
% 9.18/6.77 tff(23645,plain,
% 9.18/6.77 (((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB169) <=> (~(v84(constB169, bitIndex1) | (~v84(constB169, bitIndex0)) | (~v84(constB169, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB169) <=> (~((~v84(constB169, bitIndex2)) | v84(constB169, bitIndex1) | (~v84(constB169, bitIndex0))))))),
% 9.18/6.77 inference(transitivity,[status(thm)],[23644, 23642])).
% 9.18/6.77 tff(23646,plain,
% 9.18/6.77 ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB169) <=> (~(v84(constB169, bitIndex1) | (~v84(constB169, bitIndex0)) | (~v84(constB169, bitIndex2)))))),
% 9.18/6.77 inference(quant_inst,[status(thm)],[])).
% 9.18/6.77 tff(23647,plain,
% 9.18/6.77 ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB169) <=> (~((~v84(constB169, bitIndex2)) | v84(constB169, bitIndex1) | (~v84(constB169, bitIndex0)))))),
% 9.18/6.77 inference(modus_ponens,[status(thm)],[23646, 23645])).
% 9.18/6.77 tff(23648,plain,
% 9.18/6.77 (v118(constB169) <=> (~((~v84(constB169, bitIndex2)) | v84(constB169, bitIndex1) | (~v84(constB169, bitIndex0))))),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[23647, 960])).
% 9.18/6.77 tff(23649,plain,
% 9.18/6.77 (((~v84(constB169, bitIndex2)) | v84(constB169, bitIndex1) | (~v84(constB169, bitIndex0))) | (~v84(constB169, bitIndex1))),
% 9.18/6.77 inference(tautology,[status(thm)],[])).
% 9.18/6.77 tff(23650,plain,
% 9.18/6.77 ((~v84(constB169, bitIndex2)) | v84(constB169, bitIndex1) | (~v84(constB169, bitIndex0))),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[23649, 23575])).
% 9.18/6.77 tff(23651,plain,
% 9.18/6.77 ((~(v118(constB169) <=> (~((~v84(constB169, bitIndex2)) | v84(constB169, bitIndex1) | (~v84(constB169, bitIndex0)))))) | (~v118(constB169)) | (~((~v84(constB169, bitIndex2)) | v84(constB169, bitIndex1) | (~v84(constB169, bitIndex0))))),
% 9.18/6.77 inference(tautology,[status(thm)],[])).
% 9.18/6.77 tff(23652,plain,
% 9.18/6.77 (~v118(constB169)),
% 9.18/6.77 inference(unit_resolution,[status(thm)],[23651, 23650, 23648])).
% 9.18/6.77 tff(23653,plain,
% 9.18/6.77 (((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB169) <=> (~((~v84(constB169, bitIndex2)) | v84(constB169, bitIndex1) | v84(constB169, bitIndex0))))) <=> ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB169) <=> (~((~v84(constB169, bitIndex2)) | v84(constB169, bitIndex1) | v84(constB169, bitIndex0)))))),
% 9.18/6.77 inference(rewrite,[status(thm)],[])).
% 9.18/6.77 tff(23654,plain,
% 9.18/6.77 ((v117(constB169) <=> (~(v84(constB169, bitIndex0) | v84(constB169, bitIndex1) | (~v84(constB169, bitIndex2))))) <=> (v117(constB169) <=> (~((~v84(constB169, bitIndex2)) | v84(constB169, bitIndex1) | v84(constB169, bitIndex0))))),
% 9.18/6.77 inference(rewrite,[status(thm)],[])).
% 9.18/6.77 tff(23655,plain,
% 9.18/6.77 (((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB169) <=> (~(v84(constB169, bitIndex0) | v84(constB169, bitIndex1) | (~v84(constB169, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB169) <=> (~((~v84(constB169, bitIndex2)) | v84(constB169, bitIndex1) | v84(constB169, bitIndex0)))))),
% 9.18/6.77 inference(monotonicity,[status(thm)],[23654])).
% 9.18/6.77 tff(23656,plain,
% 9.18/6.77 (((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB169) <=> (~(v84(constB169, bitIndex0) | v84(constB169, bitIndex1) | (~v84(constB169, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB169) <=> (~((~v84(constB169, bitIndex2)) | v84(constB169, bitIndex1) | v84(constB169, bitIndex0)))))),
% 9.18/6.77 inference(transitivity,[status(thm)],[23655, 23653])).
% 9.18/6.77 tff(23657,plain,
% 9.18/6.77 ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB169) <=> (~(v84(constB169, bitIndex0) | v84(constB169, bitIndex1) | (~v84(constB169, bitIndex2)))))),
% 9.18/6.77 inference(quant_inst,[status(thm)],[])).
% 9.18/6.77 tff(23658,plain,
% 9.18/6.78 ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB169) <=> (~((~v84(constB169, bitIndex2)) | v84(constB169, bitIndex1) | v84(constB169, bitIndex0))))),
% 9.18/6.78 inference(modus_ponens,[status(thm)],[23657, 23656])).
% 9.18/6.78 tff(23659,plain,
% 9.18/6.78 (v117(constB169) <=> (~((~v84(constB169, bitIndex2)) | v84(constB169, bitIndex1) | v84(constB169, bitIndex0)))),
% 9.18/6.78 inference(unit_resolution,[status(thm)],[23658, 1071])).
% 9.18/6.78 tff(23660,plain,
% 9.18/6.78 (((~v84(constB169, bitIndex2)) | v84(constB169, bitIndex1) | v84(constB169, bitIndex0)) | (~v84(constB169, bitIndex1))),
% 9.18/6.78 inference(tautology,[status(thm)],[])).
% 9.18/6.78 tff(23661,plain,
% 9.18/6.78 ((~v84(constB169, bitIndex2)) | v84(constB169, bitIndex1) | v84(constB169, bitIndex0)),
% 9.18/6.78 inference(unit_resolution,[status(thm)],[23660, 23575])).
% 9.18/6.78 tff(23662,plain,
% 9.18/6.78 ((~(v117(constB169) <=> (~((~v84(constB169, bitIndex2)) | v84(constB169, bitIndex1) | v84(constB169, bitIndex0))))) | (~v117(constB169)) | (~((~v84(constB169, bitIndex2)) | v84(constB169, bitIndex1) | v84(constB169, bitIndex0)))),
% 9.18/6.78 inference(tautology,[status(thm)],[])).
% 9.18/6.78 tff(23663,plain,
% 9.18/6.78 (~v117(constB169)),
% 9.18/6.78 inference(unit_resolution,[status(thm)],[23662, 23661, 23659])).
% 9.18/6.78 tff(23664,plain,
% 9.18/6.78 ((~![VarCurr: $i] : (v116(VarCurr) <=> (~(v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex0)))))) | (v116(constB169) <=> (~(v84(constB169, bitIndex2) | (~v84(constB169, bitIndex1)) | (~v84(constB169, bitIndex0)))))),
% 9.18/6.78 inference(quant_inst,[status(thm)],[])).
% 9.18/6.78 tff(23665,plain,
% 9.18/6.78 (v116(constB169) <=> (~(v84(constB169, bitIndex2) | (~v84(constB169, bitIndex1)) | (~v84(constB169, bitIndex0))))),
% 9.18/6.78 inference(unit_resolution,[status(thm)],[23664, 1184])).
% 9.18/6.78 tff(23666,plain,
% 9.18/6.78 ((v84(constB169, bitIndex2) | (~v84(constB169, bitIndex1)) | (~v84(constB169, bitIndex0))) | (~v84(constB169, bitIndex2))),
% 9.18/6.78 inference(tautology,[status(thm)],[])).
% 9.18/6.78 tff(23667,plain,
% 9.18/6.78 (v84(constB169, bitIndex2) | (~v84(constB169, bitIndex1)) | (~v84(constB169, bitIndex0))),
% 9.18/6.78 inference(unit_resolution,[status(thm)],[23666, 23513])).
% 9.18/6.78 tff(23668,plain,
% 9.18/6.78 ((~(v116(constB169) <=> (~(v84(constB169, bitIndex2) | (~v84(constB169, bitIndex1)) | (~v84(constB169, bitIndex0)))))) | (~v116(constB169)) | (~(v84(constB169, bitIndex2) | (~v84(constB169, bitIndex1)) | (~v84(constB169, bitIndex0))))),
% 9.18/6.78 inference(tautology,[status(thm)],[])).
% 9.18/6.78 tff(23669,plain,
% 9.18/6.78 (~v116(constB169)),
% 9.18/6.78 inference(unit_resolution,[status(thm)],[23668, 23667, 23665])).
% 9.18/6.78 tff(23670,plain,
% 9.18/6.78 (((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB169) <=> (~(v84(constB169, bitIndex2) | (~v84(constB169, bitIndex1)) | v84(constB169, bitIndex0))))) <=> ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB169) <=> (~(v84(constB169, bitIndex2) | (~v84(constB169, bitIndex1)) | v84(constB169, bitIndex0)))))),
% 9.18/6.78 inference(rewrite,[status(thm)],[])).
% 9.18/6.78 tff(23671,plain,
% 9.18/6.78 ((v115(constB169) <=> (~(v84(constB169, bitIndex0) | v84(constB169, bitIndex2) | (~v84(constB169, bitIndex1))))) <=> (v115(constB169) <=> (~(v84(constB169, bitIndex2) | (~v84(constB169, bitIndex1)) | v84(constB169, bitIndex0))))),
% 9.18/6.78 inference(rewrite,[status(thm)],[])).
% 9.18/6.78 tff(23672,plain,
% 9.18/6.78 (((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB169) <=> (~(v84(constB169, bitIndex0) | v84(constB169, bitIndex2) | (~v84(constB169, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB169) <=> (~(v84(constB169, bitIndex2) | (~v84(constB169, bitIndex1)) | v84(constB169, bitIndex0)))))),
% 9.18/6.78 inference(monotonicity,[status(thm)],[23671])).
% 9.18/6.78 tff(23673,plain,
% 9.18/6.78 (((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB169) <=> (~(v84(constB169, bitIndex0) | v84(constB169, bitIndex2) | (~v84(constB169, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB169) <=> (~(v84(constB169, bitIndex2) | (~v84(constB169, bitIndex1)) | v84(constB169, bitIndex0)))))),
% 9.18/6.78 inference(transitivity,[status(thm)],[23672, 23670])).
% 9.18/6.78 tff(23674,plain,
% 9.18/6.78 ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB169) <=> (~(v84(constB169, bitIndex0) | v84(constB169, bitIndex2) | (~v84(constB169, bitIndex1)))))),
% 9.18/6.78 inference(quant_inst,[status(thm)],[])).
% 9.18/6.78 tff(23675,plain,
% 9.18/6.78 ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB169) <=> (~(v84(constB169, bitIndex2) | (~v84(constB169, bitIndex1)) | v84(constB169, bitIndex0))))),
% 9.18/6.78 inference(modus_ponens,[status(thm)],[23674, 23673])).
% 9.18/6.78 tff(23676,plain,
% 9.18/6.78 (v115(constB169) <=> (~(v84(constB169, bitIndex2) | (~v84(constB169, bitIndex1)) | v84(constB169, bitIndex0)))),
% 9.18/6.78 inference(unit_resolution,[status(thm)],[23675, 1294])).
% 9.18/6.78 tff(23677,plain,
% 9.18/6.78 ((v84(constB169, bitIndex2) | (~v84(constB169, bitIndex1)) | v84(constB169, bitIndex0)) | (~v84(constB169, bitIndex2))),
% 9.18/6.78 inference(tautology,[status(thm)],[])).
% 9.18/6.78 tff(23678,plain,
% 9.18/6.78 (v84(constB169, bitIndex2) | (~v84(constB169, bitIndex1)) | v84(constB169, bitIndex0)),
% 9.18/6.78 inference(unit_resolution,[status(thm)],[23677, 23513])).
% 9.18/6.78 tff(23679,plain,
% 9.18/6.78 ((~(v115(constB169) <=> (~(v84(constB169, bitIndex2) | (~v84(constB169, bitIndex1)) | v84(constB169, bitIndex0))))) | (~v115(constB169)) | (~(v84(constB169, bitIndex2) | (~v84(constB169, bitIndex1)) | v84(constB169, bitIndex0)))),
% 9.18/6.78 inference(tautology,[status(thm)],[])).
% 9.18/6.78 tff(23680,plain,
% 9.18/6.78 (~v115(constB169)),
% 9.18/6.78 inference(unit_resolution,[status(thm)],[23679, 23678, 23676])).
% 9.18/6.78 tff(23681,plain,
% 9.18/6.78 (((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB169) <=> (~(v84(constB169, bitIndex2) | v84(constB169, bitIndex1) | (~v84(constB169, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB169) <=> (~(v84(constB169, bitIndex2) | v84(constB169, bitIndex1) | (~v84(constB169, bitIndex0))))))),
% 9.18/6.78 inference(rewrite,[status(thm)],[])).
% 9.18/6.78 tff(23682,plain,
% 9.18/6.78 ((v114(constB169) <=> (~(v84(constB169, bitIndex1) | v84(constB169, bitIndex2) | (~v84(constB169, bitIndex0))))) <=> (v114(constB169) <=> (~(v84(constB169, bitIndex2) | v84(constB169, bitIndex1) | (~v84(constB169, bitIndex0)))))),
% 9.18/6.78 inference(rewrite,[status(thm)],[])).
% 9.18/6.78 tff(23683,plain,
% 9.18/6.78 (((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB169) <=> (~(v84(constB169, bitIndex1) | v84(constB169, bitIndex2) | (~v84(constB169, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB169) <=> (~(v84(constB169, bitIndex2) | v84(constB169, bitIndex1) | (~v84(constB169, bitIndex0))))))),
% 9.18/6.78 inference(monotonicity,[status(thm)],[23682])).
% 9.18/6.78 tff(23684,plain,
% 9.18/6.78 (((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB169) <=> (~(v84(constB169, bitIndex1) | v84(constB169, bitIndex2) | (~v84(constB169, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB169) <=> (~(v84(constB169, bitIndex2) | v84(constB169, bitIndex1) | (~v84(constB169, bitIndex0))))))),
% 9.18/6.78 inference(transitivity,[status(thm)],[23683, 23681])).
% 9.18/6.78 tff(23685,plain,
% 9.18/6.78 ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB169) <=> (~(v84(constB169, bitIndex1) | v84(constB169, bitIndex2) | (~v84(constB169, bitIndex0)))))),
% 9.18/6.78 inference(quant_inst,[status(thm)],[])).
% 9.18/6.78 tff(23686,plain,
% 9.18/6.78 ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB169) <=> (~(v84(constB169, bitIndex2) | v84(constB169, bitIndex1) | (~v84(constB169, bitIndex0)))))),
% 9.18/6.78 inference(modus_ponens,[status(thm)],[23685, 23684])).
% 9.18/6.78 tff(23687,plain,
% 9.18/6.78 (v114(constB169) <=> (~(v84(constB169, bitIndex2) | v84(constB169, bitIndex1) | (~v84(constB169, bitIndex0))))),
% 9.18/6.78 inference(unit_resolution,[status(thm)],[23686, 1411])).
% 9.18/6.78 tff(23688,plain,
% 9.18/6.78 ((v84(constB169, bitIndex2) | v84(constB169, bitIndex1) | (~v84(constB169, bitIndex0))) | (~v84(constB169, bitIndex2))),
% 9.18/6.78 inference(tautology,[status(thm)],[])).
% 9.18/6.78 tff(23689,plain,
% 9.18/6.78 (v84(constB169, bitIndex2) | v84(constB169, bitIndex1) | (~v84(constB169, bitIndex0))),
% 9.18/6.78 inference(unit_resolution,[status(thm)],[23688, 23513])).
% 9.18/6.78 tff(23690,plain,
% 9.18/6.78 ((~(v114(constB169) <=> (~(v84(constB169, bitIndex2) | v84(constB169, bitIndex1) | (~v84(constB169, bitIndex0)))))) | (~v114(constB169)) | (~(v84(constB169, bitIndex2) | v84(constB169, bitIndex1) | (~v84(constB169, bitIndex0))))),
% 9.18/6.78 inference(tautology,[status(thm)],[])).
% 9.18/6.78 tff(23691,plain,
% 9.18/6.78 (~v114(constB169)),
% 9.18/6.78 inference(unit_resolution,[status(thm)],[23690, 23689, 23687])).
% 9.18/6.78 tff(23692,plain,
% 9.18/6.78 (((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | (v113(constB169) | v114(constB169) | v115(constB169) | v116(constB169) | v117(constB169) | v118(constB169) | ![B: $i] : ((~less_3(B)) | (v124(constB169, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | v113(constB169) | v114(constB169) | v115(constB169) | v116(constB169) | v117(constB169) | v118(constB169) | ![B: $i] : ((~less_3(B)) | (v124(constB169, B) <=> b001(B))))),
% 9.18/6.78 inference(rewrite,[status(thm)],[])).
% 9.18/6.78 tff(23693,plain,
% 9.18/6.78 ((v118(constB169) | v117(constB169) | v116(constB169) | v115(constB169) | v114(constB169) | v113(constB169) | ![B: $i] : ((~less_3(B)) | (v124(constB169, B) <=> b001(B)))) <=> (v113(constB169) | v114(constB169) | v115(constB169) | v116(constB169) | v117(constB169) | v118(constB169) | ![B: $i] : ((~less_3(B)) | (v124(constB169, B) <=> b001(B))))),
% 9.18/6.78 inference(rewrite,[status(thm)],[])).
% 9.18/6.78 tff(23694,plain,
% 9.18/6.78 (((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | (v118(constB169) | v117(constB169) | v116(constB169) | v115(constB169) | v114(constB169) | v113(constB169) | ![B: $i] : ((~less_3(B)) | (v124(constB169, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | (v113(constB169) | v114(constB169) | v115(constB169) | v116(constB169) | v117(constB169) | v118(constB169) | ![B: $i] : ((~less_3(B)) | (v124(constB169, B) <=> b001(B)))))),
% 9.18/6.78 inference(monotonicity,[status(thm)],[23693])).
% 9.18/6.78 tff(23695,plain,
% 9.18/6.78 (((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | (v118(constB169) | v117(constB169) | v116(constB169) | v115(constB169) | v114(constB169) | v113(constB169) | ![B: $i] : ((~less_3(B)) | (v124(constB169, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | v113(constB169) | v114(constB169) | v115(constB169) | v116(constB169) | v117(constB169) | v118(constB169) | ![B: $i] : ((~less_3(B)) | (v124(constB169, B) <=> b001(B))))),
% 9.18/6.78 inference(transitivity,[status(thm)],[23694, 23692])).
% 9.18/6.78 tff(23696,plain,
% 9.18/6.78 ((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | (v118(constB169) | v117(constB169) | v116(constB169) | v115(constB169) | v114(constB169) | v113(constB169) | ![B: $i] : ((~less_3(B)) | (v124(constB169, B) <=> b001(B))))),
% 9.18/6.78 inference(quant_inst,[status(thm)],[])).
% 9.18/6.78 tff(23697,plain,
% 9.18/6.78 ((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | v113(constB169) | v114(constB169) | v115(constB169) | v116(constB169) | v117(constB169) | v118(constB169) | ![B: $i] : ((~less_3(B)) | (v124(constB169, B) <=> b001(B)))),
% 9.18/6.78 inference(modus_ponens,[status(thm)],[23696, 23695])).
% 9.18/6.78 tff(23698,plain,
% 9.18/6.78 (v113(constB169) | v114(constB169) | v115(constB169) | v116(constB169) | v117(constB169) | v118(constB169) | ![B: $i] : ((~less_3(B)) | (v124(constB169, B) <=> b001(B)))),
% 9.18/6.78 inference(unit_resolution,[status(thm)],[23697, 11068])).
% 9.18/6.78 tff(23699,plain,
% 9.18/6.78 (![B: $i] : ((~less_3(B)) | (v124(constB169, B) <=> b001(B)))),
% 9.18/6.78 inference(unit_resolution,[status(thm)],[23698, 23691, 23680, 23669, 23663, 23652, 23641])).
% 9.18/6.78 tff(23700,plain,
% 9.18/6.78 (((~![B: $i] : ((~less_3(B)) | (v124(constB169, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v124(constB169, bitIndex2) <=> b001(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB169, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v124(constB169, bitIndex2) <=> b001(bitIndex2)))),
% 9.18/6.78 inference(rewrite,[status(thm)],[])).
% 9.18/6.78 tff(23701,plain,
% 9.18/6.78 ((~![B: $i] : ((~less_3(B)) | (v124(constB169, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v124(constB169, bitIndex2) <=> b001(bitIndex2)))),
% 9.18/6.78 inference(quant_inst,[status(thm)],[])).
% 9.18/6.78 tff(23702,plain,
% 9.18/6.78 ((~![B: $i] : ((~less_3(B)) | (v124(constB169, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v124(constB169, bitIndex2) <=> b001(bitIndex2))),
% 9.18/6.78 inference(modus_ponens,[status(thm)],[23701, 23700])).
% 9.18/6.78 tff(23703,plain,
% 9.18/6.78 (v124(constB169, bitIndex2) <=> b001(bitIndex2)),
% 9.18/6.78 inference(unit_resolution,[status(thm)],[23702, 832, 23699])).
% 9.18/6.78 tff(23704,plain,
% 9.18/6.78 ((~(v124(constB169, bitIndex2) <=> b001(bitIndex2))) | (~v124(constB169, bitIndex2)) | b001(bitIndex2)),
% 9.18/6.78 inference(tautology,[status(thm)],[])).
% 9.18/6.78 tff(23705,plain,
% 9.18/6.78 ((~(v124(constB169, bitIndex2) <=> b001(bitIndex2))) | (~v124(constB169, bitIndex2))),
% 9.18/6.78 inference(unit_resolution,[status(thm)],[23704, 9977])).
% 9.18/6.78 tff(23706,plain,
% 9.18/6.78 (~v124(constB169, bitIndex2)),
% 9.18/6.78 inference(unit_resolution,[status(thm)],[23705, 23703])).
% 9.18/6.78 tff(23707,plain,
% 9.18/6.78 ((~(v121(constB169, bitIndex2) <=> v124(constB169, bitIndex2))) | (~v121(constB169, bitIndex2)) | v124(constB169, bitIndex2)),
% 9.18/6.78 inference(tautology,[status(thm)],[])).
% 9.18/6.78 tff(23708,plain,
% 9.18/6.78 (~v121(constB169, bitIndex2)),
% 9.18/6.78 inference(unit_resolution,[status(thm)],[23707, 23706, 23635])).
% 9.18/6.78 tff(23709,plain,
% 9.18/6.78 ((~(v123(constB170, bitIndex2) <=> v121(constB169, bitIndex2))) | (~v123(constB170, bitIndex2)) | v121(constB169, bitIndex2)),
% 9.18/6.78 inference(tautology,[status(thm)],[])).
% 9.18/6.78 tff(23710,plain,
% 9.18/6.78 (~v123(constB170, bitIndex2)),
% 9.18/6.78 inference(unit_resolution,[status(thm)],[23709, 23708, 23627])).
% 9.18/6.78 tff(23711,plain,
% 9.18/6.78 ((~(v84(constB170, bitIndex2) <=> v123(constB170, bitIndex2))) | (~v84(constB170, bitIndex2)) | v123(constB170, bitIndex2)),
% 9.18/6.78 inference(tautology,[status(thm)],[])).
% 9.18/6.78 tff(23712,plain,
% 9.18/6.78 (~v84(constB170, bitIndex2)),
% 9.18/6.78 inference(unit_resolution,[status(thm)],[23711, 23710, 23619])).
% 9.18/6.78 tff(23713,plain,
% 9.18/6.78 ((~(v84(constB171, bitIndex2) <=> v84(constB170, bitIndex2))) | (~v84(constB171, bitIndex2)) | v84(constB170, bitIndex2)),
% 9.18/6.78 inference(tautology,[status(thm)],[])).
% 9.18/6.78 tff(23714,plain,
% 9.18/6.78 (~v84(constB171, bitIndex2)),
% 9.18/6.78 inference(unit_resolution,[status(thm)],[23713, 23712, 2010])).
% 9.18/6.78 tff(23715,plain,
% 9.18/6.78 (((~![B: $i] : ((~less_3(B)) | (v84(constB171, B) <=> v84(constB170, B)))) | ((~less_3(bitIndex0)) | (v84(constB171, bitIndex0) <=> v84(constB170, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB171, B) <=> v84(constB170, B)))) | (~less_3(bitIndex0)) | (v84(constB171, bitIndex0) <=> v84(constB170, bitIndex0)))),
% 9.18/6.78 inference(rewrite,[status(thm)],[])).
% 9.18/6.78 tff(23716,plain,
% 9.18/6.78 ((~![B: $i] : ((~less_3(B)) | (v84(constB171, B) <=> v84(constB170, B)))) | ((~less_3(bitIndex0)) | (v84(constB171, bitIndex0) <=> v84(constB170, bitIndex0)))),
% 9.18/6.78 inference(quant_inst,[status(thm)],[])).
% 9.18/6.78 tff(23717,plain,
% 9.18/6.78 ((~![B: $i] : ((~less_3(B)) | (v84(constB171, B) <=> v84(constB170, B)))) | (~less_3(bitIndex0)) | (v84(constB171, bitIndex0) <=> v84(constB170, bitIndex0))),
% 9.18/6.78 inference(modus_ponens,[status(thm)],[23716, 23715])).
% 9.18/6.78 tff(23718,plain,
% 9.18/6.78 (v84(constB171, bitIndex0) <=> v84(constB170, bitIndex0)),
% 9.18/6.78 inference(unit_resolution,[status(thm)],[23717, 9772, 2006])).
% 9.18/6.78 tff(23719,plain,
% 9.18/6.78 (((~![B: $i] : ((~less_3(B)) | (v84(constB170, B) <=> v123(constB170, B)))) | ((~less_3(bitIndex0)) | (v84(constB170, bitIndex0) <=> v123(constB170, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB170, B) <=> v123(constB170, B)))) | (~less_3(bitIndex0)) | (v84(constB170, bitIndex0) <=> v123(constB170, bitIndex0)))),
% 9.18/6.78 inference(rewrite,[status(thm)],[])).
% 9.18/6.78 tff(23720,plain,
% 9.18/6.78 ((~![B: $i] : ((~less_3(B)) | (v84(constB170, B) <=> v123(constB170, B)))) | ((~less_3(bitIndex0)) | (v84(constB170, bitIndex0) <=> v123(constB170, bitIndex0)))),
% 9.18/6.78 inference(quant_inst,[status(thm)],[])).
% 9.18/6.78 tff(23721,plain,
% 9.18/6.78 ((~![B: $i] : ((~less_3(B)) | (v84(constB170, B) <=> v123(constB170, B)))) | (~less_3(bitIndex0)) | (v84(constB170, bitIndex0) <=> v123(constB170, bitIndex0))),
% 9.18/6.78 inference(modus_ponens,[status(thm)],[23720, 23719])).
% 9.18/6.78 tff(23722,plain,
% 9.18/6.78 (v84(constB170, bitIndex0) <=> v123(constB170, bitIndex0)),
% 9.18/6.78 inference(unit_resolution,[status(thm)],[23721, 9772, 23615])).
% 9.18/6.78 tff(23723,plain,
% 9.18/6.78 (((~![B: $i] : ((~less_3(B)) | (v123(constB170, B) <=> v121(constB169, B)))) | ((~less_3(bitIndex0)) | (v123(constB170, bitIndex0) <=> v121(constB169, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB170, B) <=> v121(constB169, B)))) | (~less_3(bitIndex0)) | (v123(constB170, bitIndex0) <=> v121(constB169, bitIndex0)))),
% 9.18/6.78 inference(rewrite,[status(thm)],[])).
% 9.18/6.78 tff(23724,plain,
% 9.18/6.78 ((~![B: $i] : ((~less_3(B)) | (v123(constB170, B) <=> v121(constB169, B)))) | ((~less_3(bitIndex0)) | (v123(constB170, bitIndex0) <=> v121(constB169, bitIndex0)))),
% 9.18/6.78 inference(quant_inst,[status(thm)],[])).
% 9.18/6.78 tff(23725,plain,
% 9.18/6.78 ((~![B: $i] : ((~less_3(B)) | (v123(constB170, B) <=> v121(constB169, B)))) | (~less_3(bitIndex0)) | (v123(constB170, bitIndex0) <=> v121(constB169, bitIndex0))),
% 9.18/6.78 inference(modus_ponens,[status(thm)],[23724, 23723])).
% 9.18/6.78 tff(23726,plain,
% 9.18/6.78 (v123(constB170, bitIndex0) <=> v121(constB169, bitIndex0)),
% 9.18/6.78 inference(unit_resolution,[status(thm)],[23725, 9772, 23623])).
% 9.18/6.78 tff(23727,plain,
% 9.18/6.78 (((~![B: $i] : ((~less_3(B)) | (v121(constB169, B) <=> v124(constB169, B)))) | ((~less_3(bitIndex0)) | (v121(constB169, bitIndex0) <=> v124(constB169, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB169, B) <=> v124(constB169, B)))) | (~less_3(bitIndex0)) | (v121(constB169, bitIndex0) <=> v124(constB169, bitIndex0)))),
% 9.18/6.78 inference(rewrite,[status(thm)],[])).
% 9.18/6.78 tff(23728,plain,
% 9.18/6.78 ((~![B: $i] : ((~less_3(B)) | (v121(constB169, B) <=> v124(constB169, B)))) | ((~less_3(bitIndex0)) | (v121(constB169, bitIndex0) <=> v124(constB169, bitIndex0)))),
% 9.18/6.78 inference(quant_inst,[status(thm)],[])).
% 9.18/6.78 tff(23729,plain,
% 9.18/6.78 ((~![B: $i] : ((~less_3(B)) | (v121(constB169, B) <=> v124(constB169, B)))) | (~less_3(bitIndex0)) | (v121(constB169, bitIndex0) <=> v124(constB169, bitIndex0))),
% 9.18/6.78 inference(modus_ponens,[status(thm)],[23728, 23727])).
% 9.18/6.78 tff(23730,plain,
% 9.18/6.78 (v121(constB169, bitIndex0) <=> v124(constB169, bitIndex0)),
% 9.18/6.78 inference(unit_resolution,[status(thm)],[23729, 9772, 23631])).
% 9.18/6.78 tff(23731,plain,
% 9.18/6.78 (((~![B: $i] : ((~less_3(B)) | (v124(constB169, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v124(constB169, bitIndex0) <=> b001(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB169, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v124(constB169, bitIndex0) <=> b001(bitIndex0)))),
% 9.18/6.78 inference(rewrite,[status(thm)],[])).
% 9.18/6.78 tff(23732,plain,
% 9.18/6.78 ((~![B: $i] : ((~less_3(B)) | (v124(constB169, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v124(constB169, bitIndex0) <=> b001(bitIndex0)))),
% 9.18/6.78 inference(quant_inst,[status(thm)],[])).
% 9.18/6.78 tff(23733,plain,
% 9.18/6.78 ((~![B: $i] : ((~less_3(B)) | (v124(constB169, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v124(constB169, bitIndex0) <=> b001(bitIndex0))),
% 9.18/6.78 inference(modus_ponens,[status(thm)],[23732, 23731])).
% 9.18/6.78 tff(23734,plain,
% 9.18/6.78 (v124(constB169, bitIndex0) <=> b001(bitIndex0)),
% 9.18/6.78 inference(unit_resolution,[status(thm)],[23733, 9772, 23699])).
% 9.18/6.78 tff(23735,plain,
% 9.18/6.78 ((~(v124(constB169, bitIndex0) <=> b001(bitIndex0))) | v124(constB169, bitIndex0) | (~b001(bitIndex0))),
% 9.18/6.78 inference(tautology,[status(thm)],[])).
% 9.18/6.78 tff(23736,plain,
% 9.18/6.78 ((~(v124(constB169, bitIndex0) <=> b001(bitIndex0))) | v124(constB169, bitIndex0)),
% 9.18/6.78 inference(unit_resolution,[status(thm)],[23735, 10011])).
% 9.18/6.78 tff(23737,plain,
% 9.18/6.78 (v124(constB169, bitIndex0)),
% 9.18/6.78 inference(unit_resolution,[status(thm)],[23736, 23734])).
% 9.18/6.78 tff(23738,plain,
% 9.18/6.78 ((~(v121(constB169, bitIndex0) <=> v124(constB169, bitIndex0))) | v121(constB169, bitIndex0) | (~v124(constB169, bitIndex0))),
% 9.18/6.78 inference(tautology,[status(thm)],[])).
% 9.18/6.78 tff(23739,plain,
% 9.18/6.78 (v121(constB169, bitIndex0)),
% 9.18/6.78 inference(unit_resolution,[status(thm)],[23738, 23737, 23730])).
% 9.18/6.78 tff(23740,plain,
% 9.18/6.78 ((~(v123(constB170, bitIndex0) <=> v121(constB169, bitIndex0))) | v123(constB170, bitIndex0) | (~v121(constB169, bitIndex0))),
% 9.18/6.78 inference(tautology,[status(thm)],[])).
% 9.18/6.78 tff(23741,plain,
% 9.18/6.78 (v123(constB170, bitIndex0)),
% 9.18/6.78 inference(unit_resolution,[status(thm)],[23740, 23739, 23726])).
% 9.18/6.78 tff(23742,plain,
% 9.18/6.78 ((~(v84(constB170, bitIndex0) <=> v123(constB170, bitIndex0))) | v84(constB170, bitIndex0) | (~v123(constB170, bitIndex0))),
% 9.18/6.78 inference(tautology,[status(thm)],[])).
% 9.18/6.78 tff(23743,plain,
% 9.18/6.78 (v84(constB170, bitIndex0)),
% 9.18/6.78 inference(unit_resolution,[status(thm)],[23742, 23741, 23722])).
% 9.18/6.78 tff(23744,plain,
% 9.18/6.78 ((~(v84(constB171, bitIndex0) <=> v84(constB170, bitIndex0))) | v84(constB171, bitIndex0) | (~v84(constB170, bitIndex0))),
% 9.18/6.78 inference(tautology,[status(thm)],[])).
% 9.18/6.78 tff(23745,plain,
% 9.18/6.78 (v84(constB171, bitIndex0)),
% 9.18/6.78 inference(unit_resolution,[status(thm)],[23744, 23743, 23718])).
% 9.18/6.78 tff(23746,plain,
% 9.18/6.78 (((~![B: $i] : ((~less_3(B)) | (v84(constB171, B) <=> v84(constB170, B)))) | ((~less_3(bitIndex1)) | (v84(constB171, bitIndex1) <=> v84(constB170, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB171, B) <=> v84(constB170, B)))) | (~less_3(bitIndex1)) | (v84(constB171, bitIndex1) <=> v84(constB170, bitIndex1)))),
% 9.18/6.78 inference(rewrite,[status(thm)],[])).
% 9.18/6.78 tff(23747,plain,
% 9.18/6.78 ((~![B: $i] : ((~less_3(B)) | (v84(constB171, B) <=> v84(constB170, B)))) | ((~less_3(bitIndex1)) | (v84(constB171, bitIndex1) <=> v84(constB170, bitIndex1)))),
% 9.18/6.78 inference(quant_inst,[status(thm)],[])).
% 9.18/6.78 tff(23748,plain,
% 9.18/6.78 ((~![B: $i] : ((~less_3(B)) | (v84(constB171, B) <=> v84(constB170, B)))) | (~less_3(bitIndex1)) | (v84(constB171, bitIndex1) <=> v84(constB170, bitIndex1))),
% 9.18/6.78 inference(modus_ponens,[status(thm)],[23747, 23746])).
% 9.18/6.78 tff(23749,plain,
% 9.18/6.78 (v84(constB171, bitIndex1) <=> v84(constB170, bitIndex1)),
% 9.18/6.78 inference(unit_resolution,[status(thm)],[23748, 9785, 2006])).
% 9.18/6.78 tff(23750,plain,
% 9.18/6.78 (((~![B: $i] : ((~less_3(B)) | (v84(constB170, B) <=> v123(constB170, B)))) | ((~less_3(bitIndex1)) | (v84(constB170, bitIndex1) <=> v123(constB170, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB170, B) <=> v123(constB170, B)))) | (~less_3(bitIndex1)) | (v84(constB170, bitIndex1) <=> v123(constB170, bitIndex1)))),
% 9.18/6.78 inference(rewrite,[status(thm)],[])).
% 9.18/6.78 tff(23751,plain,
% 9.18/6.78 ((~![B: $i] : ((~less_3(B)) | (v84(constB170, B) <=> v123(constB170, B)))) | ((~less_3(bitIndex1)) | (v84(constB170, bitIndex1) <=> v123(constB170, bitIndex1)))),
% 9.18/6.78 inference(quant_inst,[status(thm)],[])).
% 9.18/6.78 tff(23752,plain,
% 9.18/6.78 ((~![B: $i] : ((~less_3(B)) | (v84(constB170, B) <=> v123(constB170, B)))) | (~less_3(bitIndex1)) | (v84(constB170, bitIndex1) <=> v123(constB170, bitIndex1))),
% 9.18/6.78 inference(modus_ponens,[status(thm)],[23751, 23750])).
% 9.18/6.78 tff(23753,plain,
% 9.18/6.78 (v84(constB170, bitIndex1) <=> v123(constB170, bitIndex1)),
% 9.18/6.78 inference(unit_resolution,[status(thm)],[23752, 9785, 23615])).
% 9.18/6.78 tff(23754,plain,
% 9.18/6.78 (((~![B: $i] : ((~less_3(B)) | (v123(constB170, B) <=> v121(constB169, B)))) | ((~less_3(bitIndex1)) | (v123(constB170, bitIndex1) <=> v121(constB169, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB170, B) <=> v121(constB169, B)))) | (~less_3(bitIndex1)) | (v123(constB170, bitIndex1) <=> v121(constB169, bitIndex1)))),
% 9.18/6.78 inference(rewrite,[status(thm)],[])).
% 9.18/6.78 tff(23755,plain,
% 9.18/6.78 ((~![B: $i] : ((~less_3(B)) | (v123(constB170, B) <=> v121(constB169, B)))) | ((~less_3(bitIndex1)) | (v123(constB170, bitIndex1) <=> v121(constB169, bitIndex1)))),
% 9.18/6.78 inference(quant_inst,[status(thm)],[])).
% 9.18/6.78 tff(23756,plain,
% 9.18/6.78 ((~![B: $i] : ((~less_3(B)) | (v123(constB170, B) <=> v121(constB169, B)))) | (~less_3(bitIndex1)) | (v123(constB170, bitIndex1) <=> v121(constB169, bitIndex1))),
% 9.18/6.78 inference(modus_ponens,[status(thm)],[23755, 23754])).
% 9.18/6.78 tff(23757,plain,
% 9.18/6.78 (v123(constB170, bitIndex1) <=> v121(constB169, bitIndex1)),
% 9.18/6.78 inference(unit_resolution,[status(thm)],[23756, 9785, 23623])).
% 9.18/6.78 tff(23758,plain,
% 9.18/6.78 (((~![B: $i] : ((~less_3(B)) | (v121(constB169, B) <=> v124(constB169, B)))) | ((~less_3(bitIndex1)) | (v121(constB169, bitIndex1) <=> v124(constB169, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB169, B) <=> v124(constB169, B)))) | (~less_3(bitIndex1)) | (v121(constB169, bitIndex1) <=> v124(constB169, bitIndex1)))),
% 9.18/6.78 inference(rewrite,[status(thm)],[])).
% 9.18/6.78 tff(23759,plain,
% 9.18/6.78 ((~![B: $i] : ((~less_3(B)) | (v121(constB169, B) <=> v124(constB169, B)))) | ((~less_3(bitIndex1)) | (v121(constB169, bitIndex1) <=> v124(constB169, bitIndex1)))),
% 9.18/6.78 inference(quant_inst,[status(thm)],[])).
% 9.18/6.78 tff(23760,plain,
% 9.18/6.78 ((~![B: $i] : ((~less_3(B)) | (v121(constB169, B) <=> v124(constB169, B)))) | (~less_3(bitIndex1)) | (v121(constB169, bitIndex1) <=> v124(constB169, bitIndex1))),
% 9.18/6.78 inference(modus_ponens,[status(thm)],[23759, 23758])).
% 9.18/6.78 tff(23761,plain,
% 9.18/6.78 (v121(constB169, bitIndex1) <=> v124(constB169, bitIndex1)),
% 9.18/6.78 inference(unit_resolution,[status(thm)],[23760, 9785, 23631])).
% 9.18/6.78 tff(23762,plain,
% 9.18/6.78 (((~![B: $i] : ((~less_3(B)) | (v124(constB169, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v124(constB169, bitIndex1) <=> b001(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB169, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v124(constB169, bitIndex1) <=> b001(bitIndex1)))),
% 9.18/6.78 inference(rewrite,[status(thm)],[])).
% 9.18/6.78 tff(23763,plain,
% 9.18/6.78 ((~![B: $i] : ((~less_3(B)) | (v124(constB169, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v124(constB169, bitIndex1) <=> b001(bitIndex1)))),
% 9.18/6.78 inference(quant_inst,[status(thm)],[])).
% 9.18/6.78 tff(23764,plain,
% 9.18/6.78 ((~![B: $i] : ((~less_3(B)) | (v124(constB169, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v124(constB169, bitIndex1) <=> b001(bitIndex1))),
% 9.18/6.78 inference(modus_ponens,[status(thm)],[23763, 23762])).
% 9.18/6.78 tff(23765,plain,
% 9.18/6.78 (v124(constB169, bitIndex1) <=> b001(bitIndex1)),
% 9.18/6.78 inference(unit_resolution,[status(thm)],[23764, 9785, 23699])).
% 9.18/6.78 tff(23766,plain,
% 9.18/6.78 ((~(v124(constB169, bitIndex1) <=> b001(bitIndex1))) | (~v124(constB169, bitIndex1)) | b001(bitIndex1)),
% 9.18/6.78 inference(tautology,[status(thm)],[])).
% 9.18/6.78 tff(23767,plain,
% 9.18/6.78 ((~(v124(constB169, bitIndex1) <=> b001(bitIndex1))) | (~v124(constB169, bitIndex1))),
% 9.18/6.78 inference(unit_resolution,[status(thm)],[23766, 10045])).
% 9.18/6.78 tff(23768,plain,
% 9.18/6.78 (~v124(constB169, bitIndex1)),
% 9.18/6.78 inference(unit_resolution,[status(thm)],[23767, 23765])).
% 9.18/6.78 tff(23769,plain,
% 9.18/6.78 ((~(v121(constB169, bitIndex1) <=> v124(constB169, bitIndex1))) | (~v121(constB169, bitIndex1)) | v124(constB169, bitIndex1)),
% 9.18/6.78 inference(tautology,[status(thm)],[])).
% 9.18/6.78 tff(23770,plain,
% 9.18/6.78 (~v121(constB169, bitIndex1)),
% 9.18/6.78 inference(unit_resolution,[status(thm)],[23769, 23768, 23761])).
% 9.18/6.79 tff(23771,plain,
% 9.18/6.79 ((~(v123(constB170, bitIndex1) <=> v121(constB169, bitIndex1))) | (~v123(constB170, bitIndex1)) | v121(constB169, bitIndex1)),
% 9.18/6.79 inference(tautology,[status(thm)],[])).
% 9.18/6.79 tff(23772,plain,
% 9.18/6.79 (~v123(constB170, bitIndex1)),
% 9.18/6.79 inference(unit_resolution,[status(thm)],[23771, 23770, 23757])).
% 9.18/6.79 tff(23773,plain,
% 9.18/6.79 ((~(v84(constB170, bitIndex1) <=> v123(constB170, bitIndex1))) | (~v84(constB170, bitIndex1)) | v123(constB170, bitIndex1)),
% 9.18/6.79 inference(tautology,[status(thm)],[])).
% 9.18/6.79 tff(23774,plain,
% 9.18/6.79 (~v84(constB170, bitIndex1)),
% 9.18/6.79 inference(unit_resolution,[status(thm)],[23773, 23772, 23753])).
% 9.18/6.79 tff(23775,plain,
% 9.18/6.79 ((~(v84(constB171, bitIndex1) <=> v84(constB170, bitIndex1))) | (~v84(constB171, bitIndex1)) | v84(constB170, bitIndex1)),
% 9.18/6.79 inference(tautology,[status(thm)],[])).
% 9.18/6.79 tff(23776,plain,
% 9.18/6.79 (~v84(constB171, bitIndex1)),
% 9.18/6.79 inference(unit_resolution,[status(thm)],[23775, 23774, 23749])).
% 9.18/6.79 tff(23777,plain,
% 9.18/6.79 ((~(v84(constB171, bitIndex2) | v84(constB171, bitIndex1) | (~v84(constB171, bitIndex0)))) | v84(constB171, bitIndex2) | v84(constB171, bitIndex1) | (~v84(constB171, bitIndex0))),
% 9.18/6.79 inference(tautology,[status(thm)],[])).
% 9.18/6.79 tff(23778,plain,
% 9.18/6.79 (~(v84(constB171, bitIndex2) | v84(constB171, bitIndex1) | (~v84(constB171, bitIndex0)))),
% 9.18/6.79 inference(unit_resolution,[status(thm)],[23777, 23776, 23745, 23714])).
% 9.18/6.79 tff(23779,plain,
% 9.18/6.79 ((~(v114(constB171) <=> (~(v84(constB171, bitIndex2) | v84(constB171, bitIndex1) | (~v84(constB171, bitIndex0)))))) | v114(constB171) | (v84(constB171, bitIndex2) | v84(constB171, bitIndex1) | (~v84(constB171, bitIndex0)))),
% 9.18/6.79 inference(tautology,[status(thm)],[])).
% 9.18/6.79 tff(23780,plain,
% 9.18/6.79 (v114(constB171)),
% 9.18/6.79 inference(unit_resolution,[status(thm)],[23779, 23778, 1978])).
% 9.18/6.79 tff(23781,plain,
% 9.18/6.79 ((v113(constB171) | v114(constB171)) | (~v114(constB171))),
% 9.18/6.79 inference(tautology,[status(thm)],[])).
% 9.18/6.79 tff(23782,plain,
% 9.18/6.79 (v113(constB171) | v114(constB171)),
% 9.18/6.79 inference(unit_resolution,[status(thm)],[23781, 23780])).
% 9.18/6.79 tff(23783,plain,
% 9.18/6.79 ((~(v112(constB171) <=> (v113(constB171) | v114(constB171)))) | v112(constB171) | (~(v113(constB171) | v114(constB171)))),
% 9.18/6.79 inference(tautology,[status(thm)],[])).
% 9.18/6.79 tff(23784,plain,
% 9.18/6.79 (v112(constB171)),
% 9.18/6.79 inference(unit_resolution,[status(thm)],[23783, 23782, 1971])).
% 9.18/6.79 tff(23785,plain,
% 9.18/6.79 ((v112(constB171) | v115(constB171)) | (~v112(constB171))),
% 9.18/6.79 inference(tautology,[status(thm)],[])).
% 9.18/6.79 tff(23786,plain,
% 9.18/6.79 (v112(constB171) | v115(constB171)),
% 9.18/6.79 inference(unit_resolution,[status(thm)],[23785, 23784])).
% 9.18/6.79 tff(23787,plain,
% 9.18/6.79 ((~(v111(constB171) <=> (v112(constB171) | v115(constB171)))) | v111(constB171) | (~(v112(constB171) | v115(constB171)))),
% 9.18/6.79 inference(tautology,[status(thm)],[])).
% 9.18/6.79 tff(23788,plain,
% 9.18/6.79 (v111(constB171)),
% 9.18/6.79 inference(unit_resolution,[status(thm)],[23787, 23786, 1969])).
% 9.18/6.79 tff(23789,plain,
% 9.18/6.79 ((v111(constB171) | v116(constB171)) | (~v111(constB171))),
% 9.18/6.79 inference(tautology,[status(thm)],[])).
% 9.18/6.79 tff(23790,plain,
% 9.18/6.79 (v111(constB171) | v116(constB171)),
% 9.18/6.79 inference(unit_resolution,[status(thm)],[23789, 23788])).
% 9.18/6.79 tff(23791,plain,
% 9.18/6.79 ((~(v110(constB171) <=> (v111(constB171) | v116(constB171)))) | v110(constB171) | (~(v111(constB171) | v116(constB171)))),
% 9.18/6.79 inference(tautology,[status(thm)],[])).
% 9.18/6.79 tff(23792,plain,
% 9.18/6.79 (v110(constB171)),
% 9.18/6.79 inference(unit_resolution,[status(thm)],[23791, 23790, 1967])).
% 9.18/6.79 tff(23793,plain,
% 9.18/6.79 ((v110(constB171) | v117(constB171)) | (~v110(constB171))),
% 9.18/6.79 inference(tautology,[status(thm)],[])).
% 9.18/6.79 tff(23794,plain,
% 9.18/6.79 (v110(constB171) | v117(constB171)),
% 9.18/6.79 inference(unit_resolution,[status(thm)],[23793, 23792])).
% 9.18/6.79 tff(23795,plain,
% 9.18/6.79 ((~(v109(constB171) <=> (v110(constB171) | v117(constB171)))) | v109(constB171) | (~(v110(constB171) | v117(constB171)))),
% 9.18/6.79 inference(tautology,[status(thm)],[])).
% 9.18/6.79 tff(23796,plain,
% 9.18/6.79 (v109(constB171)),
% 9.18/6.79 inference(unit_resolution,[status(thm)],[23795, 23794, 1965])).
% 9.18/6.79 tff(23797,plain,
% 9.18/6.79 ((v109(constB171) | v118(constB171)) | (~v109(constB171))),
% 9.18/6.79 inference(tautology,[status(thm)],[])).
% 9.18/6.79 tff(23798,plain,
% 9.18/6.79 (v109(constB171) | v118(constB171)),
% 9.18/6.79 inference(unit_resolution,[status(thm)],[23797, 23796])).
% 9.18/6.79 tff(23799,plain,
% 9.18/6.79 ((~(v108(constB171) <=> (v109(constB171) | v118(constB171)))) | v108(constB171) | (~(v109(constB171) | v118(constB171)))),
% 9.18/6.79 inference(tautology,[status(thm)],[])).
% 9.18/6.79 tff(23800,plain,
% 9.18/6.79 (v108(constB171)),
% 9.18/6.79 inference(unit_resolution,[status(thm)],[23799, 23798, 1963])).
% 9.18/6.79 tff(23801,plain,
% 9.18/6.79 ((v108(constB171) | v119(constB171)) | (~v108(constB171))),
% 9.18/6.79 inference(tautology,[status(thm)],[])).
% 9.18/6.79 tff(23802,plain,
% 9.18/6.79 (v108(constB171) | v119(constB171)),
% 9.18/6.79 inference(unit_resolution,[status(thm)],[23801, 23800])).
% 9.18/6.79 tff(23803,plain,
% 9.18/6.79 ((~(v107(constB171) <=> (v108(constB171) | v119(constB171)))) | v107(constB171) | (~(v108(constB171) | v119(constB171)))),
% 9.18/6.79 inference(tautology,[status(thm)],[])).
% 9.18/6.79 tff(23804,plain,
% 9.18/6.79 (v107(constB171)),
% 9.18/6.79 inference(unit_resolution,[status(thm)],[23803, 23802, 1961])).
% 9.18/6.79 tff(23805,plain,
% 9.18/6.79 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB171)) <=> v105(constB171))),
% 9.18/6.79 inference(quant_inst,[status(thm)],[])).
% 9.18/6.79 tff(23806,plain,
% 9.18/6.79 ((~v120(constB171)) <=> v105(constB171)),
% 9.18/6.79 inference(unit_resolution,[status(thm)],[23805, 9842])).
% 9.18/6.79 tff(23807,plain,
% 9.18/6.79 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB171) <=> v26(constB171))),
% 9.18/6.79 inference(quant_inst,[status(thm)],[])).
% 9.18/6.79 tff(23808,plain,
% 9.18/6.79 (v105(constB171) <=> v26(constB171)),
% 9.18/6.79 inference(unit_resolution,[status(thm)],[23807, 9854])).
% 9.18/6.79 tff(23809,plain,
% 9.18/6.79 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB171))),
% 9.18/6.79 inference(quant_inst,[status(thm)],[])).
% 9.18/6.79 tff(23810,plain,
% 9.18/6.79 (~v26(constB171)),
% 9.18/6.79 inference(unit_resolution,[status(thm)],[23809, 9866])).
% 9.18/6.79 tff(23811,plain,
% 9.18/6.79 ((~(v105(constB171) <=> v26(constB171))) | (~v105(constB171)) | v26(constB171)),
% 9.18/6.79 inference(tautology,[status(thm)],[])).
% 9.18/6.79 tff(23812,plain,
% 9.18/6.79 ((~(v105(constB171) <=> v26(constB171))) | (~v105(constB171))),
% 9.18/6.79 inference(unit_resolution,[status(thm)],[23811, 23810])).
% 9.18/6.79 tff(23813,plain,
% 9.18/6.79 (~v105(constB171)),
% 9.18/6.79 inference(unit_resolution,[status(thm)],[23812, 23808])).
% 9.18/6.79 tff(23814,plain,
% 9.18/6.79 ((~((~v120(constB171)) <=> v105(constB171))) | v120(constB171) | v105(constB171)),
% 9.18/6.79 inference(tautology,[status(thm)],[])).
% 9.18/6.79 tff(23815,plain,
% 9.18/6.79 ((~((~v120(constB171)) <=> v105(constB171))) | v120(constB171)),
% 9.18/6.79 inference(unit_resolution,[status(thm)],[23814, 23813])).
% 9.18/6.79 tff(23816,plain,
% 9.18/6.79 (v120(constB171)),
% 9.18/6.79 inference(unit_resolution,[status(thm)],[23815, 23806])).
% 9.18/6.79 tff(23817,plain,
% 9.18/6.79 ((~((~v107(constB171)) | (~v120(constB171)))) | (~v107(constB171)) | (~v120(constB171))),
% 9.18/6.79 inference(tautology,[status(thm)],[])).
% 9.18/6.79 tff(23818,plain,
% 9.18/6.79 ((~((~v107(constB171)) | (~v120(constB171)))) | (~v107(constB171))),
% 9.18/6.79 inference(unit_resolution,[status(thm)],[23817, 23816])).
% 9.18/6.79 tff(23819,plain,
% 9.18/6.79 (~((~v107(constB171)) | (~v120(constB171)))),
% 9.18/6.79 inference(unit_resolution,[status(thm)],[23818, 23804])).
% 9.18/6.79 tff(23820,plain,
% 9.18/6.79 ((~(v106(constB171) <=> (~((~v107(constB171)) | (~v120(constB171)))))) | v106(constB171) | ((~v107(constB171)) | (~v120(constB171)))),
% 9.18/6.79 inference(tautology,[status(thm)],[])).
% 9.18/6.79 tff(23821,plain,
% 9.18/6.79 (v106(constB171)),
% 9.18/6.79 inference(unit_resolution,[status(thm)],[23820, 23819, 1959])).
% 9.18/6.79 tff(23822,plain,
% 9.18/6.79 ((v105(constB171) | v106(constB171)) | (~v106(constB171))),
% 9.18/6.79 inference(tautology,[status(thm)],[])).
% 9.18/6.79 tff(23823,plain,
% 9.18/6.79 (v105(constB171) | v106(constB171)),
% 9.18/6.79 inference(unit_resolution,[status(thm)],[23822, 23821])).
% 9.18/6.79 tff(23824,plain,
% 9.18/6.79 ((~(v102(constB171) <=> (v105(constB171) | v106(constB171)))) | v102(constB171) | (~(v105(constB171) | v106(constB171)))),
% 9.18/6.79 inference(tautology,[status(thm)],[])).
% 9.18/6.79 tff(23825,plain,
% 9.18/6.79 (v102(constB171)),
% 9.18/6.79 inference(unit_resolution,[status(thm)],[23824, 23823, 1957])).
% 9.18/6.79 tff(23826,plain,
% 9.18/6.79 ((~(v104(constB172) <=> v102(constB171))) | v104(constB172) | (~v102(constB171))),
% 9.18/6.79 inference(tautology,[status(thm)],[])).
% 9.18/6.79 tff(23827,plain,
% 9.18/6.79 (v104(constB172)),
% 9.18/6.79 inference(unit_resolution,[status(thm)],[23826, 23825, 1955])).
% 9.18/6.79 tff(23828,plain,
% 9.18/6.79 ((~((~v104(constB172)) | (~v95(constB172)))) | (~v104(constB172)) | (~v95(constB172))),
% 9.18/6.79 inference(tautology,[status(thm)],[])).
% 9.18/6.79 tff(23829,plain,
% 9.18/6.79 (~((~v104(constB172)) | (~v95(constB172)))),
% 9.18/6.79 inference(unit_resolution,[status(thm)],[23828, 23827, 1951])).
% 9.18/6.79 tff(23830,plain,
% 9.18/6.79 ((~(v94(constB172) <=> (~((~v104(constB172)) | (~v95(constB172)))))) | v94(constB172) | ((~v104(constB172)) | (~v95(constB172)))),
% 9.18/6.79 inference(tautology,[status(thm)],[])).
% 9.18/6.79 tff(23831,plain,
% 9.18/6.79 (v94(constB172)),
% 9.18/6.79 inference(unit_resolution,[status(thm)],[23830, 23829, 1920])).
% 9.18/6.79 tff(23832,plain,
% 9.18/6.79 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB172)) | ![B: $i] : ((~less_3(B)) | (v84(constB172, B) <=> v123(constB172, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB172)) | ![B: $i] : ((~less_3(B)) | (v84(constB172, B) <=> v123(constB172, B))))),
% 9.18/6.79 inference(rewrite,[status(thm)],[])).
% 9.18/6.79 tff(23833,plain,
% 9.18/6.79 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB172)) | ![B: $i] : ((~less_3(B)) | (v84(constB172, B) <=> v123(constB172, B))))),
% 9.18/6.79 inference(quant_inst,[status(thm)],[])).
% 9.18/6.79 tff(23834,plain,
% 9.18/6.79 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB172)) | ![B: $i] : ((~less_3(B)) | (v84(constB172, B) <=> v123(constB172, B)))),
% 9.18/6.79 inference(modus_ponens,[status(thm)],[23833, 23832])).
% 9.18/6.79 tff(23835,plain,
% 9.18/6.79 ((~v94(constB172)) | ![B: $i] : ((~less_3(B)) | (v84(constB172, B) <=> v123(constB172, B)))),
% 9.18/6.79 inference(unit_resolution,[status(thm)],[23834, 9902])).
% 9.18/6.79 tff(23836,plain,
% 9.18/6.79 (![B: $i] : ((~less_3(B)) | (v84(constB172, B) <=> v123(constB172, B)))),
% 9.18/6.79 inference(unit_resolution,[status(thm)],[23835, 23831])).
% 9.18/6.79 tff(23837,plain,
% 9.18/6.79 (((~![B: $i] : ((~less_3(B)) | (v84(constB172, B) <=> v123(constB172, B)))) | ((~less_3(bitIndex2)) | (v84(constB172, bitIndex2) <=> v123(constB172, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB172, B) <=> v123(constB172, B)))) | (~less_3(bitIndex2)) | (v84(constB172, bitIndex2) <=> v123(constB172, bitIndex2)))),
% 9.18/6.79 inference(rewrite,[status(thm)],[])).
% 9.18/6.79 tff(23838,plain,
% 9.18/6.79 ((~![B: $i] : ((~less_3(B)) | (v84(constB172, B) <=> v123(constB172, B)))) | ((~less_3(bitIndex2)) | (v84(constB172, bitIndex2) <=> v123(constB172, bitIndex2)))),
% 9.18/6.79 inference(quant_inst,[status(thm)],[])).
% 9.18/6.79 tff(23839,plain,
% 9.18/6.79 ((~![B: $i] : ((~less_3(B)) | (v84(constB172, B) <=> v123(constB172, B)))) | (~less_3(bitIndex2)) | (v84(constB172, bitIndex2) <=> v123(constB172, bitIndex2))),
% 9.18/6.79 inference(modus_ponens,[status(thm)],[23838, 23837])).
% 9.18/6.79 tff(23840,plain,
% 9.18/6.79 (v84(constB172, bitIndex2) <=> v123(constB172, bitIndex2)),
% 9.18/6.79 inference(unit_resolution,[status(thm)],[23839, 832, 23836])).
% 9.18/6.79 tff(23841,plain,
% 9.18/6.79 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB171, constB172)) | ![B: $i] : ((~less_3(B)) | (v123(constB172, B) <=> v121(constB171, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB171, constB172)) | ![B: $i] : ((~less_3(B)) | (v123(constB172, B) <=> v121(constB171, B))))),
% 9.18/6.79 inference(rewrite,[status(thm)],[])).
% 9.18/6.79 tff(23842,plain,
% 9.18/6.79 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB171, constB172)) | ![B: $i] : ((~less_3(B)) | (v123(constB172, B) <=> v121(constB171, B))))),
% 9.18/6.79 inference(quant_inst,[status(thm)],[])).
% 9.18/6.79 tff(23843,plain,
% 9.18/6.79 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB171, constB172)) | ![B: $i] : ((~less_3(B)) | (v123(constB172, B) <=> v121(constB171, B)))),
% 9.28/6.79 inference(modus_ponens,[status(thm)],[23842, 23841])).
% 9.28/6.79 tff(23844,plain,
% 9.28/6.79 (![B: $i] : ((~less_3(B)) | (v123(constB172, B) <=> v121(constB171, B)))),
% 9.28/6.79 inference(unit_resolution,[status(thm)],[23843, 1916, 9924])).
% 9.28/6.79 tff(23845,plain,
% 9.28/6.79 (((~![B: $i] : ((~less_3(B)) | (v123(constB172, B) <=> v121(constB171, B)))) | ((~less_3(bitIndex2)) | (v123(constB172, bitIndex2) <=> v121(constB171, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB172, B) <=> v121(constB171, B)))) | (~less_3(bitIndex2)) | (v123(constB172, bitIndex2) <=> v121(constB171, bitIndex2)))),
% 9.28/6.79 inference(rewrite,[status(thm)],[])).
% 9.28/6.79 tff(23846,plain,
% 9.28/6.79 ((~![B: $i] : ((~less_3(B)) | (v123(constB172, B) <=> v121(constB171, B)))) | ((~less_3(bitIndex2)) | (v123(constB172, bitIndex2) <=> v121(constB171, bitIndex2)))),
% 9.28/6.79 inference(quant_inst,[status(thm)],[])).
% 9.28/6.79 tff(23847,plain,
% 9.28/6.79 ((~![B: $i] : ((~less_3(B)) | (v123(constB172, B) <=> v121(constB171, B)))) | (~less_3(bitIndex2)) | (v123(constB172, bitIndex2) <=> v121(constB171, bitIndex2))),
% 9.28/6.79 inference(modus_ponens,[status(thm)],[23846, 23845])).
% 9.28/6.79 tff(23848,plain,
% 9.28/6.79 (v123(constB172, bitIndex2) <=> v121(constB171, bitIndex2)),
% 9.28/6.79 inference(unit_resolution,[status(thm)],[23847, 832, 23844])).
% 9.28/6.79 tff(23849,plain,
% 9.28/6.79 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB171) | ![B: $i] : ((~less_3(B)) | (v121(constB171, B) <=> v124(constB171, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB171) | ![B: $i] : ((~less_3(B)) | (v121(constB171, B) <=> v124(constB171, B))))),
% 9.28/6.79 inference(rewrite,[status(thm)],[])).
% 9.28/6.79 tff(23850,plain,
% 9.28/6.79 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB171) | ![B: $i] : ((~less_3(B)) | (v121(constB171, B) <=> v124(constB171, B))))),
% 9.28/6.79 inference(quant_inst,[status(thm)],[])).
% 9.28/6.79 tff(23851,plain,
% 9.28/6.79 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB171) | ![B: $i] : ((~less_3(B)) | (v121(constB171, B) <=> v124(constB171, B)))),
% 9.28/6.79 inference(modus_ponens,[status(thm)],[23850, 23849])).
% 9.28/6.79 tff(23852,plain,
% 9.28/6.79 (![B: $i] : ((~less_3(B)) | (v121(constB171, B) <=> v124(constB171, B)))),
% 9.28/6.79 inference(unit_resolution,[status(thm)],[23851, 9945, 23813])).
% 9.28/6.79 tff(23853,plain,
% 9.28/6.79 (((~![B: $i] : ((~less_3(B)) | (v121(constB171, B) <=> v124(constB171, B)))) | ((~less_3(bitIndex2)) | (v121(constB171, bitIndex2) <=> v124(constB171, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB171, B) <=> v124(constB171, B)))) | (~less_3(bitIndex2)) | (v121(constB171, bitIndex2) <=> v124(constB171, bitIndex2)))),
% 9.28/6.79 inference(rewrite,[status(thm)],[])).
% 9.28/6.79 tff(23854,plain,
% 9.28/6.79 ((~![B: $i] : ((~less_3(B)) | (v121(constB171, B) <=> v124(constB171, B)))) | ((~less_3(bitIndex2)) | (v121(constB171, bitIndex2) <=> v124(constB171, bitIndex2)))),
% 9.28/6.79 inference(quant_inst,[status(thm)],[])).
% 9.28/6.79 tff(23855,plain,
% 9.28/6.79 ((~![B: $i] : ((~less_3(B)) | (v121(constB171, B) <=> v124(constB171, B)))) | (~less_3(bitIndex2)) | (v121(constB171, bitIndex2) <=> v124(constB171, bitIndex2))),
% 9.28/6.79 inference(modus_ponens,[status(thm)],[23854, 23853])).
% 9.28/6.79 tff(23856,plain,
% 9.28/6.79 (v121(constB171, bitIndex2) <=> v124(constB171, bitIndex2)),
% 9.28/6.79 inference(unit_resolution,[status(thm)],[23855, 832, 23852])).
% 9.28/6.79 tff(23857,plain,
% 9.28/6.79 (((~![VarCurr: $i] : ((~v114(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b010(B))))) | ((~v114(constB171)) | ![B: $i] : ((~less_3(B)) | (v124(constB171, B) <=> b010(B))))) <=> ((~![VarCurr: $i] : ((~v114(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b010(B))))) | (~v114(constB171)) | ![B: $i] : ((~less_3(B)) | (v124(constB171, B) <=> b010(B))))),
% 9.28/6.79 inference(rewrite,[status(thm)],[])).
% 9.28/6.79 tff(23858,plain,
% 9.28/6.79 ((~![VarCurr: $i] : ((~v114(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b010(B))))) | ((~v114(constB171)) | ![B: $i] : ((~less_3(B)) | (v124(constB171, B) <=> b010(B))))),
% 9.28/6.79 inference(quant_inst,[status(thm)],[])).
% 9.28/6.79 tff(23859,plain,
% 9.28/6.79 ((~![VarCurr: $i] : ((~v114(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b010(B))))) | (~v114(constB171)) | ![B: $i] : ((~less_3(B)) | (v124(constB171, B) <=> b010(B)))),
% 9.28/6.79 inference(modus_ponens,[status(thm)],[23858, 23857])).
% 9.28/6.79 tff(23860,plain,
% 9.28/6.79 ((~v114(constB171)) | ![B: $i] : ((~less_3(B)) | (v124(constB171, B) <=> b010(B)))),
% 9.28/6.79 inference(unit_resolution,[status(thm)],[23859, 10149])).
% 9.28/6.79 tff(23861,plain,
% 9.28/6.79 (![B: $i] : ((~less_3(B)) | (v124(constB171, B) <=> b010(B)))),
% 9.28/6.79 inference(unit_resolution,[status(thm)],[23860, 23780])).
% 9.28/6.79 tff(23862,plain,
% 9.28/6.79 (((~![B: $i] : ((~less_3(B)) | (v124(constB171, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v124(constB171, bitIndex2) <=> b010(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB171, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v124(constB171, bitIndex2) <=> b010(bitIndex2)))),
% 9.28/6.79 inference(rewrite,[status(thm)],[])).
% 9.28/6.79 tff(23863,plain,
% 9.28/6.79 ((~![B: $i] : ((~less_3(B)) | (v124(constB171, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v124(constB171, bitIndex2) <=> b010(bitIndex2)))),
% 9.28/6.79 inference(quant_inst,[status(thm)],[])).
% 9.28/6.79 tff(23864,plain,
% 9.28/6.79 ((~![B: $i] : ((~less_3(B)) | (v124(constB171, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v124(constB171, bitIndex2) <=> b010(bitIndex2))),
% 9.28/6.79 inference(modus_ponens,[status(thm)],[23863, 23862])).
% 9.28/6.79 tff(23865,plain,
% 9.28/6.79 (v124(constB171, bitIndex2) <=> b010(bitIndex2)),
% 9.28/6.79 inference(unit_resolution,[status(thm)],[23864, 832, 23861])).
% 9.28/6.79 tff(23866,plain,
% 9.28/6.79 ((~(v124(constB171, bitIndex2) <=> b010(bitIndex2))) | (~v124(constB171, bitIndex2)) | b010(bitIndex2)),
% 9.28/6.79 inference(tautology,[status(thm)],[])).
% 9.28/6.79 tff(23867,plain,
% 9.28/6.79 ((~(v124(constB171, bitIndex2) <=> b010(bitIndex2))) | (~v124(constB171, bitIndex2))),
% 9.28/6.79 inference(unit_resolution,[status(thm)],[23866, 10161])).
% 9.28/6.79 tff(23868,plain,
% 9.28/6.79 (~v124(constB171, bitIndex2)),
% 9.28/6.79 inference(unit_resolution,[status(thm)],[23867, 23865])).
% 9.28/6.79 tff(23869,plain,
% 9.28/6.79 ((~(v121(constB171, bitIndex2) <=> v124(constB171, bitIndex2))) | (~v121(constB171, bitIndex2)) | v124(constB171, bitIndex2)),
% 9.28/6.79 inference(tautology,[status(thm)],[])).
% 9.28/6.79 tff(23870,plain,
% 9.28/6.79 (~v121(constB171, bitIndex2)),
% 9.28/6.79 inference(unit_resolution,[status(thm)],[23869, 23868, 23856])).
% 9.28/6.79 tff(23871,plain,
% 9.28/6.79 ((~(v123(constB172, bitIndex2) <=> v121(constB171, bitIndex2))) | (~v123(constB172, bitIndex2)) | v121(constB171, bitIndex2)),
% 9.28/6.79 inference(tautology,[status(thm)],[])).
% 9.28/6.79 tff(23872,plain,
% 9.28/6.79 (~v123(constB172, bitIndex2)),
% 9.28/6.79 inference(unit_resolution,[status(thm)],[23871, 23870, 23848])).
% 9.28/6.79 tff(23873,plain,
% 9.28/6.79 ((~(v84(constB172, bitIndex2) <=> v123(constB172, bitIndex2))) | (~v84(constB172, bitIndex2)) | v123(constB172, bitIndex2)),
% 9.28/6.79 inference(tautology,[status(thm)],[])).
% 9.28/6.79 tff(23874,plain,
% 9.28/6.79 (~v84(constB172, bitIndex2)),
% 9.28/6.79 inference(unit_resolution,[status(thm)],[23873, 23872, 23840])).
% 9.28/6.79 tff(23875,plain,
% 9.28/6.79 ((~(v84(constB173, bitIndex2) <=> v84(constB172, bitIndex2))) | (~v84(constB173, bitIndex2)) | v84(constB172, bitIndex2)),
% 9.28/6.79 inference(tautology,[status(thm)],[])).
% 9.28/6.79 tff(23876,plain,
% 9.28/6.79 (~v84(constB173, bitIndex2)),
% 9.28/6.79 inference(unit_resolution,[status(thm)],[23875, 23874, 1913])).
% 9.28/6.79 tff(23877,plain,
% 9.28/6.79 (((~![B: $i] : ((~less_3(B)) | (v84(constB173, B) <=> v84(constB172, B)))) | ((~less_3(bitIndex0)) | (v84(constB173, bitIndex0) <=> v84(constB172, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB173, B) <=> v84(constB172, B)))) | (~less_3(bitIndex0)) | (v84(constB173, bitIndex0) <=> v84(constB172, bitIndex0)))),
% 9.28/6.79 inference(rewrite,[status(thm)],[])).
% 9.28/6.79 tff(23878,plain,
% 9.28/6.79 ((~![B: $i] : ((~less_3(B)) | (v84(constB173, B) <=> v84(constB172, B)))) | ((~less_3(bitIndex0)) | (v84(constB173, bitIndex0) <=> v84(constB172, bitIndex0)))),
% 9.28/6.79 inference(quant_inst,[status(thm)],[])).
% 9.28/6.79 tff(23879,plain,
% 9.28/6.79 ((~![B: $i] : ((~less_3(B)) | (v84(constB173, B) <=> v84(constB172, B)))) | (~less_3(bitIndex0)) | (v84(constB173, bitIndex0) <=> v84(constB172, bitIndex0))),
% 9.28/6.79 inference(modus_ponens,[status(thm)],[23878, 23877])).
% 9.28/6.79 tff(23880,plain,
% 9.28/6.79 (v84(constB173, bitIndex0) <=> v84(constB172, bitIndex0)),
% 9.28/6.79 inference(unit_resolution,[status(thm)],[23879, 9772, 1909])).
% 9.28/6.79 tff(23881,plain,
% 9.28/6.79 (((~![B: $i] : ((~less_3(B)) | (v84(constB172, B) <=> v123(constB172, B)))) | ((~less_3(bitIndex0)) | (v84(constB172, bitIndex0) <=> v123(constB172, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB172, B) <=> v123(constB172, B)))) | (~less_3(bitIndex0)) | (v84(constB172, bitIndex0) <=> v123(constB172, bitIndex0)))),
% 9.28/6.79 inference(rewrite,[status(thm)],[])).
% 9.28/6.79 tff(23882,plain,
% 9.28/6.79 ((~![B: $i] : ((~less_3(B)) | (v84(constB172, B) <=> v123(constB172, B)))) | ((~less_3(bitIndex0)) | (v84(constB172, bitIndex0) <=> v123(constB172, bitIndex0)))),
% 9.28/6.79 inference(quant_inst,[status(thm)],[])).
% 9.28/6.79 tff(23883,plain,
% 9.28/6.79 ((~![B: $i] : ((~less_3(B)) | (v84(constB172, B) <=> v123(constB172, B)))) | (~less_3(bitIndex0)) | (v84(constB172, bitIndex0) <=> v123(constB172, bitIndex0))),
% 9.28/6.79 inference(modus_ponens,[status(thm)],[23882, 23881])).
% 9.28/6.79 tff(23884,plain,
% 9.28/6.79 (v84(constB172, bitIndex0) <=> v123(constB172, bitIndex0)),
% 9.28/6.79 inference(unit_resolution,[status(thm)],[23883, 9772, 23836])).
% 9.28/6.79 tff(23885,plain,
% 9.28/6.79 (((~![B: $i] : ((~less_3(B)) | (v123(constB172, B) <=> v121(constB171, B)))) | ((~less_3(bitIndex0)) | (v123(constB172, bitIndex0) <=> v121(constB171, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB172, B) <=> v121(constB171, B)))) | (~less_3(bitIndex0)) | (v123(constB172, bitIndex0) <=> v121(constB171, bitIndex0)))),
% 9.28/6.79 inference(rewrite,[status(thm)],[])).
% 9.28/6.79 tff(23886,plain,
% 9.28/6.79 ((~![B: $i] : ((~less_3(B)) | (v123(constB172, B) <=> v121(constB171, B)))) | ((~less_3(bitIndex0)) | (v123(constB172, bitIndex0) <=> v121(constB171, bitIndex0)))),
% 9.28/6.79 inference(quant_inst,[status(thm)],[])).
% 9.28/6.79 tff(23887,plain,
% 9.28/6.79 ((~![B: $i] : ((~less_3(B)) | (v123(constB172, B) <=> v121(constB171, B)))) | (~less_3(bitIndex0)) | (v123(constB172, bitIndex0) <=> v121(constB171, bitIndex0))),
% 9.28/6.79 inference(modus_ponens,[status(thm)],[23886, 23885])).
% 9.28/6.79 tff(23888,plain,
% 9.28/6.79 (v123(constB172, bitIndex0) <=> v121(constB171, bitIndex0)),
% 9.28/6.79 inference(unit_resolution,[status(thm)],[23887, 9772, 23844])).
% 9.28/6.79 tff(23889,plain,
% 9.28/6.79 (((~![B: $i] : ((~less_3(B)) | (v121(constB171, B) <=> v124(constB171, B)))) | ((~less_3(bitIndex0)) | (v121(constB171, bitIndex0) <=> v124(constB171, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB171, B) <=> v124(constB171, B)))) | (~less_3(bitIndex0)) | (v121(constB171, bitIndex0) <=> v124(constB171, bitIndex0)))),
% 9.28/6.79 inference(rewrite,[status(thm)],[])).
% 9.28/6.79 tff(23890,plain,
% 9.28/6.79 ((~![B: $i] : ((~less_3(B)) | (v121(constB171, B) <=> v124(constB171, B)))) | ((~less_3(bitIndex0)) | (v121(constB171, bitIndex0) <=> v124(constB171, bitIndex0)))),
% 9.28/6.79 inference(quant_inst,[status(thm)],[])).
% 9.28/6.79 tff(23891,plain,
% 9.28/6.79 ((~![B: $i] : ((~less_3(B)) | (v121(constB171, B) <=> v124(constB171, B)))) | (~less_3(bitIndex0)) | (v121(constB171, bitIndex0) <=> v124(constB171, bitIndex0))),
% 9.28/6.79 inference(modus_ponens,[status(thm)],[23890, 23889])).
% 9.28/6.79 tff(23892,plain,
% 9.28/6.79 (v121(constB171, bitIndex0) <=> v124(constB171, bitIndex0)),
% 9.28/6.79 inference(unit_resolution,[status(thm)],[23891, 9772, 23852])).
% 9.28/6.79 tff(23893,plain,
% 9.28/6.79 (((~![B: $i] : ((~less_3(B)) | (v124(constB171, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v124(constB171, bitIndex0) <=> b010(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB171, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v124(constB171, bitIndex0) <=> b010(bitIndex0)))),
% 9.28/6.79 inference(rewrite,[status(thm)],[])).
% 9.28/6.79 tff(23894,plain,
% 9.28/6.79 ((~![B: $i] : ((~less_3(B)) | (v124(constB171, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v124(constB171, bitIndex0) <=> b010(bitIndex0)))),
% 9.28/6.79 inference(quant_inst,[status(thm)],[])).
% 9.28/6.79 tff(23895,plain,
% 9.28/6.79 ((~![B: $i] : ((~less_3(B)) | (v124(constB171, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v124(constB171, bitIndex0) <=> b010(bitIndex0))),
% 9.28/6.79 inference(modus_ponens,[status(thm)],[23894, 23893])).
% 9.28/6.79 tff(23896,plain,
% 9.28/6.79 (v124(constB171, bitIndex0) <=> b010(bitIndex0)),
% 9.28/6.79 inference(unit_resolution,[status(thm)],[23895, 9772, 23861])).
% 9.28/6.79 tff(23897,plain,
% 9.28/6.79 ((~(v124(constB171, bitIndex0) <=> b010(bitIndex0))) | (~v124(constB171, bitIndex0)) | b010(bitIndex0)),
% 9.28/6.79 inference(tautology,[status(thm)],[])).
% 9.28/6.79 tff(23898,plain,
% 9.28/6.79 ((~(v124(constB171, bitIndex0) <=> b010(bitIndex0))) | (~v124(constB171, bitIndex0))),
% 9.28/6.79 inference(unit_resolution,[status(thm)],[23897, 10195])).
% 9.28/6.79 tff(23899,plain,
% 9.28/6.79 (~v124(constB171, bitIndex0)),
% 9.28/6.79 inference(unit_resolution,[status(thm)],[23898, 23896])).
% 9.28/6.79 tff(23900,plain,
% 9.28/6.79 ((~(v121(constB171, bitIndex0) <=> v124(constB171, bitIndex0))) | (~v121(constB171, bitIndex0)) | v124(constB171, bitIndex0)),
% 9.28/6.79 inference(tautology,[status(thm)],[])).
% 9.28/6.79 tff(23901,plain,
% 9.28/6.79 (~v121(constB171, bitIndex0)),
% 9.28/6.79 inference(unit_resolution,[status(thm)],[23900, 23899, 23892])).
% 9.28/6.79 tff(23902,plain,
% 9.28/6.79 ((~(v123(constB172, bitIndex0) <=> v121(constB171, bitIndex0))) | (~v123(constB172, bitIndex0)) | v121(constB171, bitIndex0)),
% 9.28/6.79 inference(tautology,[status(thm)],[])).
% 9.28/6.79 tff(23903,plain,
% 9.28/6.79 (~v123(constB172, bitIndex0)),
% 9.28/6.79 inference(unit_resolution,[status(thm)],[23902, 23901, 23888])).
% 9.28/6.79 tff(23904,plain,
% 9.28/6.79 ((~(v84(constB172, bitIndex0) <=> v123(constB172, bitIndex0))) | (~v84(constB172, bitIndex0)) | v123(constB172, bitIndex0)),
% 9.28/6.79 inference(tautology,[status(thm)],[])).
% 9.28/6.79 tff(23905,plain,
% 9.28/6.79 (~v84(constB172, bitIndex0)),
% 9.28/6.79 inference(unit_resolution,[status(thm)],[23904, 23903, 23884])).
% 9.28/6.79 tff(23906,plain,
% 9.28/6.79 ((~(v84(constB173, bitIndex0) <=> v84(constB172, bitIndex0))) | (~v84(constB173, bitIndex0)) | v84(constB172, bitIndex0)),
% 9.28/6.79 inference(tautology,[status(thm)],[])).
% 9.28/6.79 tff(23907,plain,
% 9.28/6.79 (~v84(constB173, bitIndex0)),
% 9.28/6.79 inference(unit_resolution,[status(thm)],[23906, 23905, 23880])).
% 9.28/6.79 tff(23908,plain,
% 9.28/6.79 (((~![B: $i] : ((~less_3(B)) | (v84(constB173, B) <=> v84(constB172, B)))) | ((~less_3(bitIndex1)) | (v84(constB173, bitIndex1) <=> v84(constB172, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB173, B) <=> v84(constB172, B)))) | (~less_3(bitIndex1)) | (v84(constB173, bitIndex1) <=> v84(constB172, bitIndex1)))),
% 9.28/6.79 inference(rewrite,[status(thm)],[])).
% 9.28/6.79 tff(23909,plain,
% 9.28/6.79 ((~![B: $i] : ((~less_3(B)) | (v84(constB173, B) <=> v84(constB172, B)))) | ((~less_3(bitIndex1)) | (v84(constB173, bitIndex1) <=> v84(constB172, bitIndex1)))),
% 9.28/6.79 inference(quant_inst,[status(thm)],[])).
% 9.28/6.79 tff(23910,plain,
% 9.28/6.79 ((~![B: $i] : ((~less_3(B)) | (v84(constB173, B) <=> v84(constB172, B)))) | (~less_3(bitIndex1)) | (v84(constB173, bitIndex1) <=> v84(constB172, bitIndex1))),
% 9.28/6.79 inference(modus_ponens,[status(thm)],[23909, 23908])).
% 9.28/6.79 tff(23911,plain,
% 9.28/6.79 (v84(constB173, bitIndex1) <=> v84(constB172, bitIndex1)),
% 9.28/6.79 inference(unit_resolution,[status(thm)],[23910, 9785, 1909])).
% 9.28/6.79 tff(23912,plain,
% 9.28/6.79 (((~![B: $i] : ((~less_3(B)) | (v84(constB172, B) <=> v123(constB172, B)))) | ((~less_3(bitIndex1)) | (v84(constB172, bitIndex1) <=> v123(constB172, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB172, B) <=> v123(constB172, B)))) | (~less_3(bitIndex1)) | (v84(constB172, bitIndex1) <=> v123(constB172, bitIndex1)))),
% 9.28/6.79 inference(rewrite,[status(thm)],[])).
% 9.28/6.79 tff(23913,plain,
% 9.28/6.79 ((~![B: $i] : ((~less_3(B)) | (v84(constB172, B) <=> v123(constB172, B)))) | ((~less_3(bitIndex1)) | (v84(constB172, bitIndex1) <=> v123(constB172, bitIndex1)))),
% 9.28/6.79 inference(quant_inst,[status(thm)],[])).
% 9.28/6.79 tff(23914,plain,
% 9.28/6.79 ((~![B: $i] : ((~less_3(B)) | (v84(constB172, B) <=> v123(constB172, B)))) | (~less_3(bitIndex1)) | (v84(constB172, bitIndex1) <=> v123(constB172, bitIndex1))),
% 9.28/6.79 inference(modus_ponens,[status(thm)],[23913, 23912])).
% 9.28/6.79 tff(23915,plain,
% 9.28/6.79 (v84(constB172, bitIndex1) <=> v123(constB172, bitIndex1)),
% 9.28/6.79 inference(unit_resolution,[status(thm)],[23914, 9785, 23836])).
% 9.28/6.79 tff(23916,plain,
% 9.28/6.79 (((~![B: $i] : ((~less_3(B)) | (v123(constB172, B) <=> v121(constB171, B)))) | ((~less_3(bitIndex1)) | (v123(constB172, bitIndex1) <=> v121(constB171, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB172, B) <=> v121(constB171, B)))) | (~less_3(bitIndex1)) | (v123(constB172, bitIndex1) <=> v121(constB171, bitIndex1)))),
% 9.28/6.79 inference(rewrite,[status(thm)],[])).
% 9.28/6.79 tff(23917,plain,
% 9.28/6.79 ((~![B: $i] : ((~less_3(B)) | (v123(constB172, B) <=> v121(constB171, B)))) | ((~less_3(bitIndex1)) | (v123(constB172, bitIndex1) <=> v121(constB171, bitIndex1)))),
% 9.28/6.79 inference(quant_inst,[status(thm)],[])).
% 9.28/6.79 tff(23918,plain,
% 9.28/6.79 ((~![B: $i] : ((~less_3(B)) | (v123(constB172, B) <=> v121(constB171, B)))) | (~less_3(bitIndex1)) | (v123(constB172, bitIndex1) <=> v121(constB171, bitIndex1))),
% 9.28/6.79 inference(modus_ponens,[status(thm)],[23917, 23916])).
% 9.28/6.79 tff(23919,plain,
% 9.28/6.79 (v123(constB172, bitIndex1) <=> v121(constB171, bitIndex1)),
% 9.28/6.79 inference(unit_resolution,[status(thm)],[23918, 9785, 23844])).
% 9.28/6.79 tff(23920,plain,
% 9.28/6.79 (((~![B: $i] : ((~less_3(B)) | (v121(constB171, B) <=> v124(constB171, B)))) | ((~less_3(bitIndex1)) | (v121(constB171, bitIndex1) <=> v124(constB171, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB171, B) <=> v124(constB171, B)))) | (~less_3(bitIndex1)) | (v121(constB171, bitIndex1) <=> v124(constB171, bitIndex1)))),
% 9.28/6.79 inference(rewrite,[status(thm)],[])).
% 9.28/6.79 tff(23921,plain,
% 9.28/6.79 ((~![B: $i] : ((~less_3(B)) | (v121(constB171, B) <=> v124(constB171, B)))) | ((~less_3(bitIndex1)) | (v121(constB171, bitIndex1) <=> v124(constB171, bitIndex1)))),
% 9.28/6.79 inference(quant_inst,[status(thm)],[])).
% 9.28/6.79 tff(23922,plain,
% 9.28/6.79 ((~![B: $i] : ((~less_3(B)) | (v121(constB171, B) <=> v124(constB171, B)))) | (~less_3(bitIndex1)) | (v121(constB171, bitIndex1) <=> v124(constB171, bitIndex1))),
% 9.28/6.79 inference(modus_ponens,[status(thm)],[23921, 23920])).
% 9.28/6.79 tff(23923,plain,
% 9.28/6.79 (v121(constB171, bitIndex1) <=> v124(constB171, bitIndex1)),
% 9.28/6.79 inference(unit_resolution,[status(thm)],[23922, 9785, 23852])).
% 9.28/6.79 tff(23924,plain,
% 9.28/6.79 (((~![B: $i] : ((~less_3(B)) | (v124(constB171, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v124(constB171, bitIndex1) <=> b010(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB171, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v124(constB171, bitIndex1) <=> b010(bitIndex1)))),
% 9.28/6.79 inference(rewrite,[status(thm)],[])).
% 9.28/6.79 tff(23925,plain,
% 9.28/6.79 ((~![B: $i] : ((~less_3(B)) | (v124(constB171, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v124(constB171, bitIndex1) <=> b010(bitIndex1)))),
% 9.28/6.79 inference(quant_inst,[status(thm)],[])).
% 9.28/6.79 tff(23926,plain,
% 9.28/6.79 ((~![B: $i] : ((~less_3(B)) | (v124(constB171, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v124(constB171, bitIndex1) <=> b010(bitIndex1))),
% 9.28/6.79 inference(modus_ponens,[status(thm)],[23925, 23924])).
% 9.28/6.79 tff(23927,plain,
% 9.28/6.79 (v124(constB171, bitIndex1) <=> b010(bitIndex1)),
% 9.28/6.79 inference(unit_resolution,[status(thm)],[23926, 9785, 23861])).
% 9.28/6.79 tff(23928,plain,
% 9.28/6.79 ((~(v124(constB171, bitIndex1) <=> b010(bitIndex1))) | v124(constB171, bitIndex1) | (~b010(bitIndex1))),
% 9.28/6.79 inference(tautology,[status(thm)],[])).
% 9.28/6.79 tff(23929,plain,
% 9.28/6.79 ((~(v124(constB171, bitIndex1) <=> b010(bitIndex1))) | v124(constB171, bitIndex1)),
% 9.28/6.79 inference(unit_resolution,[status(thm)],[23928, 10229])).
% 9.28/6.79 tff(23930,plain,
% 9.28/6.79 (v124(constB171, bitIndex1)),
% 9.28/6.79 inference(unit_resolution,[status(thm)],[23929, 23927])).
% 9.28/6.79 tff(23931,plain,
% 9.28/6.79 ((~(v121(constB171, bitIndex1) <=> v124(constB171, bitIndex1))) | v121(constB171, bitIndex1) | (~v124(constB171, bitIndex1))),
% 9.28/6.79 inference(tautology,[status(thm)],[])).
% 9.28/6.79 tff(23932,plain,
% 9.28/6.79 (v121(constB171, bitIndex1)),
% 9.28/6.79 inference(unit_resolution,[status(thm)],[23931, 23930, 23923])).
% 9.28/6.79 tff(23933,plain,
% 9.28/6.79 ((~(v123(constB172, bitIndex1) <=> v121(constB171, bitIndex1))) | v123(constB172, bitIndex1) | (~v121(constB171, bitIndex1))),
% 9.28/6.79 inference(tautology,[status(thm)],[])).
% 9.28/6.79 tff(23934,plain,
% 9.28/6.79 (v123(constB172, bitIndex1)),
% 9.28/6.79 inference(unit_resolution,[status(thm)],[23933, 23932, 23919])).
% 9.28/6.79 tff(23935,plain,
% 9.28/6.79 ((~(v84(constB172, bitIndex1) <=> v123(constB172, bitIndex1))) | v84(constB172, bitIndex1) | (~v123(constB172, bitIndex1))),
% 9.28/6.79 inference(tautology,[status(thm)],[])).
% 9.28/6.79 tff(23936,plain,
% 9.28/6.79 (v84(constB172, bitIndex1)),
% 9.28/6.79 inference(unit_resolution,[status(thm)],[23935, 23934, 23915])).
% 9.28/6.79 tff(23937,plain,
% 9.28/6.79 ((~(v84(constB173, bitIndex1) <=> v84(constB172, bitIndex1))) | v84(constB173, bitIndex1) | (~v84(constB172, bitIndex1))),
% 9.28/6.79 inference(tautology,[status(thm)],[])).
% 9.28/6.79 tff(23938,plain,
% 9.28/6.79 (v84(constB173, bitIndex1)),
% 9.28/6.79 inference(unit_resolution,[status(thm)],[23937, 23936, 23911])).
% 9.28/6.79 tff(23939,plain,
% 9.28/6.79 ((~(v84(constB173, bitIndex2) | (~v84(constB173, bitIndex1)) | v84(constB173, bitIndex0))) | v84(constB173, bitIndex2) | (~v84(constB173, bitIndex1)) | v84(constB173, bitIndex0)),
% 9.28/6.79 inference(tautology,[status(thm)],[])).
% 9.28/6.79 tff(23940,plain,
% 9.28/6.79 (~(v84(constB173, bitIndex2) | (~v84(constB173, bitIndex1)) | v84(constB173, bitIndex0))),
% 9.28/6.79 inference(unit_resolution,[status(thm)],[23939, 23938, 23907, 23876])).
% 9.28/6.79 tff(23941,plain,
% 9.28/6.79 ((~(v115(constB173) <=> (~(v84(constB173, bitIndex2) | (~v84(constB173, bitIndex1)) | v84(constB173, bitIndex0))))) | v115(constB173) | (v84(constB173, bitIndex2) | (~v84(constB173, bitIndex1)) | v84(constB173, bitIndex0))),
% 9.28/6.79 inference(tautology,[status(thm)],[])).
% 9.28/6.79 tff(23942,plain,
% 9.28/6.79 (v115(constB173)),
% 9.28/6.79 inference(unit_resolution,[status(thm)],[23941, 23940, 1881])).
% 9.28/6.79 tff(23943,plain,
% 9.28/6.79 ((v112(constB173) | v115(constB173)) | (~v115(constB173))),
% 9.28/6.79 inference(tautology,[status(thm)],[])).
% 9.28/6.79 tff(23944,plain,
% 9.28/6.79 (v112(constB173) | v115(constB173)),
% 9.28/6.79 inference(unit_resolution,[status(thm)],[23943, 23942])).
% 9.28/6.79 tff(23945,plain,
% 9.28/6.79 ((~(v111(constB173) <=> (v112(constB173) | v115(constB173)))) | v111(constB173) | (~(v112(constB173) | v115(constB173)))),
% 9.28/6.79 inference(tautology,[status(thm)],[])).
% 9.28/6.79 tff(23946,plain,
% 9.28/6.79 (v111(constB173)),
% 9.28/6.79 inference(unit_resolution,[status(thm)],[23945, 23944, 1874])).
% 9.28/6.79 tff(23947,plain,
% 9.28/6.79 ((v111(constB173) | v116(constB173)) | (~v111(constB173))),
% 9.28/6.79 inference(tautology,[status(thm)],[])).
% 9.28/6.79 tff(23948,plain,
% 9.28/6.79 (v111(constB173) | v116(constB173)),
% 9.28/6.79 inference(unit_resolution,[status(thm)],[23947, 23946])).
% 9.28/6.79 tff(23949,plain,
% 9.28/6.79 ((~(v110(constB173) <=> (v111(constB173) | v116(constB173)))) | v110(constB173) | (~(v111(constB173) | v116(constB173)))),
% 9.28/6.79 inference(tautology,[status(thm)],[])).
% 9.28/6.79 tff(23950,plain,
% 9.28/6.79 (v110(constB173)),
% 9.28/6.79 inference(unit_resolution,[status(thm)],[23949, 23948, 1872])).
% 9.28/6.79 tff(23951,plain,
% 9.28/6.79 ((v110(constB173) | v117(constB173)) | (~v110(constB173))),
% 9.28/6.79 inference(tautology,[status(thm)],[])).
% 9.28/6.79 tff(23952,plain,
% 9.28/6.79 (v110(constB173) | v117(constB173)),
% 9.28/6.79 inference(unit_resolution,[status(thm)],[23951, 23950])).
% 9.28/6.79 tff(23953,plain,
% 9.28/6.79 ((~(v109(constB173) <=> (v110(constB173) | v117(constB173)))) | v109(constB173) | (~(v110(constB173) | v117(constB173)))),
% 9.28/6.79 inference(tautology,[status(thm)],[])).
% 9.28/6.79 tff(23954,plain,
% 9.28/6.79 (v109(constB173)),
% 9.28/6.79 inference(unit_resolution,[status(thm)],[23953, 23952, 1870])).
% 9.28/6.79 tff(23955,plain,
% 9.28/6.79 ((v109(constB173) | v118(constB173)) | (~v109(constB173))),
% 9.28/6.79 inference(tautology,[status(thm)],[])).
% 9.28/6.79 tff(23956,plain,
% 9.28/6.79 (v109(constB173) | v118(constB173)),
% 9.28/6.79 inference(unit_resolution,[status(thm)],[23955, 23954])).
% 9.28/6.79 tff(23957,plain,
% 9.28/6.79 ((~(v108(constB173) <=> (v109(constB173) | v118(constB173)))) | v108(constB173) | (~(v109(constB173) | v118(constB173)))),
% 9.28/6.79 inference(tautology,[status(thm)],[])).
% 9.28/6.79 tff(23958,plain,
% 9.28/6.79 (v108(constB173)),
% 9.28/6.79 inference(unit_resolution,[status(thm)],[23957, 23956, 1868])).
% 9.28/6.79 tff(23959,plain,
% 9.28/6.79 ((v108(constB173) | v119(constB173)) | (~v108(constB173))),
% 9.28/6.79 inference(tautology,[status(thm)],[])).
% 9.28/6.79 tff(23960,plain,
% 9.28/6.79 (v108(constB173) | v119(constB173)),
% 9.28/6.79 inference(unit_resolution,[status(thm)],[23959, 23958])).
% 9.28/6.79 tff(23961,plain,
% 9.28/6.79 ((~(v107(constB173) <=> (v108(constB173) | v119(constB173)))) | v107(constB173) | (~(v108(constB173) | v119(constB173)))),
% 9.28/6.79 inference(tautology,[status(thm)],[])).
% 9.28/6.79 tff(23962,plain,
% 9.28/6.79 (v107(constB173)),
% 9.28/6.79 inference(unit_resolution,[status(thm)],[23961, 23960, 1866])).
% 9.28/6.79 tff(23963,plain,
% 9.28/6.79 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB173)) <=> v105(constB173))),
% 9.28/6.79 inference(quant_inst,[status(thm)],[])).
% 9.28/6.79 tff(23964,plain,
% 9.28/6.79 ((~v120(constB173)) <=> v105(constB173)),
% 9.28/6.79 inference(unit_resolution,[status(thm)],[23963, 9842])).
% 9.28/6.79 tff(23965,plain,
% 9.28/6.79 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB173) <=> v26(constB173))),
% 9.28/6.80 inference(quant_inst,[status(thm)],[])).
% 9.28/6.80 tff(23966,plain,
% 9.28/6.80 (v105(constB173) <=> v26(constB173)),
% 9.28/6.80 inference(unit_resolution,[status(thm)],[23965, 9854])).
% 9.28/6.80 tff(23967,plain,
% 9.28/6.80 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB173))),
% 9.28/6.80 inference(quant_inst,[status(thm)],[])).
% 9.28/6.80 tff(23968,plain,
% 9.28/6.80 (~v26(constB173)),
% 9.28/6.80 inference(unit_resolution,[status(thm)],[23967, 9866])).
% 9.28/6.80 tff(23969,plain,
% 9.28/6.80 ((~(v105(constB173) <=> v26(constB173))) | (~v105(constB173)) | v26(constB173)),
% 9.28/6.80 inference(tautology,[status(thm)],[])).
% 9.28/6.80 tff(23970,plain,
% 9.28/6.80 ((~(v105(constB173) <=> v26(constB173))) | (~v105(constB173))),
% 9.28/6.80 inference(unit_resolution,[status(thm)],[23969, 23968])).
% 9.28/6.80 tff(23971,plain,
% 9.28/6.80 (~v105(constB173)),
% 9.28/6.80 inference(unit_resolution,[status(thm)],[23970, 23966])).
% 9.28/6.80 tff(23972,plain,
% 9.28/6.80 ((~((~v120(constB173)) <=> v105(constB173))) | v120(constB173) | v105(constB173)),
% 9.28/6.80 inference(tautology,[status(thm)],[])).
% 9.28/6.80 tff(23973,plain,
% 9.28/6.80 ((~((~v120(constB173)) <=> v105(constB173))) | v120(constB173)),
% 9.28/6.80 inference(unit_resolution,[status(thm)],[23972, 23971])).
% 9.28/6.80 tff(23974,plain,
% 9.28/6.80 (v120(constB173)),
% 9.28/6.80 inference(unit_resolution,[status(thm)],[23973, 23964])).
% 9.28/6.80 tff(23975,plain,
% 9.28/6.80 ((~((~v107(constB173)) | (~v120(constB173)))) | (~v107(constB173)) | (~v120(constB173))),
% 9.28/6.80 inference(tautology,[status(thm)],[])).
% 9.28/6.80 tff(23976,plain,
% 9.28/6.80 ((~((~v107(constB173)) | (~v120(constB173)))) | (~v107(constB173))),
% 9.28/6.80 inference(unit_resolution,[status(thm)],[23975, 23974])).
% 9.28/6.80 tff(23977,plain,
% 9.28/6.80 (~((~v107(constB173)) | (~v120(constB173)))),
% 9.28/6.80 inference(unit_resolution,[status(thm)],[23976, 23962])).
% 9.28/6.80 tff(23978,plain,
% 9.28/6.80 ((~(v106(constB173) <=> (~((~v107(constB173)) | (~v120(constB173)))))) | v106(constB173) | ((~v107(constB173)) | (~v120(constB173)))),
% 9.28/6.80 inference(tautology,[status(thm)],[])).
% 9.28/6.80 tff(23979,plain,
% 9.28/6.80 (v106(constB173)),
% 9.28/6.80 inference(unit_resolution,[status(thm)],[23978, 23977, 1864])).
% 9.28/6.80 tff(23980,plain,
% 9.28/6.80 ((v105(constB173) | v106(constB173)) | (~v106(constB173))),
% 9.28/6.80 inference(tautology,[status(thm)],[])).
% 9.28/6.80 tff(23981,plain,
% 9.28/6.80 (v105(constB173) | v106(constB173)),
% 9.28/6.80 inference(unit_resolution,[status(thm)],[23980, 23979])).
% 9.28/6.80 tff(23982,plain,
% 9.28/6.80 ((~(v102(constB173) <=> (v105(constB173) | v106(constB173)))) | v102(constB173) | (~(v105(constB173) | v106(constB173)))),
% 9.28/6.80 inference(tautology,[status(thm)],[])).
% 9.28/6.80 tff(23983,plain,
% 9.28/6.80 (v102(constB173)),
% 9.28/6.80 inference(unit_resolution,[status(thm)],[23982, 23981, 1862])).
% 9.28/6.80 tff(23984,plain,
% 9.28/6.80 ((~(v104(constB174) <=> v102(constB173))) | v104(constB174) | (~v102(constB173))),
% 9.28/6.80 inference(tautology,[status(thm)],[])).
% 9.28/6.80 tff(23985,plain,
% 9.28/6.80 (v104(constB174)),
% 9.28/6.80 inference(unit_resolution,[status(thm)],[23984, 23983, 1860])).
% 9.28/6.80 tff(23986,plain,
% 9.28/6.80 ((~((~v104(constB174)) | (~v95(constB174)))) | (~v104(constB174)) | (~v95(constB174))),
% 9.28/6.80 inference(tautology,[status(thm)],[])).
% 9.28/6.80 tff(23987,plain,
% 9.28/6.80 (~((~v104(constB174)) | (~v95(constB174)))),
% 9.28/6.80 inference(unit_resolution,[status(thm)],[23986, 23985, 1856])).
% 9.28/6.80 tff(23988,plain,
% 9.28/6.80 ((~(v94(constB174) <=> (~((~v104(constB174)) | (~v95(constB174)))))) | v94(constB174) | ((~v104(constB174)) | (~v95(constB174)))),
% 9.28/6.80 inference(tautology,[status(thm)],[])).
% 9.28/6.80 tff(23989,plain,
% 9.28/6.80 (v94(constB174)),
% 9.28/6.80 inference(unit_resolution,[status(thm)],[23988, 23987, 1825])).
% 9.28/6.80 tff(23990,plain,
% 9.28/6.80 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB174)) | ![B: $i] : ((~less_3(B)) | (v84(constB174, B) <=> v123(constB174, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB174)) | ![B: $i] : ((~less_3(B)) | (v84(constB174, B) <=> v123(constB174, B))))),
% 9.28/6.80 inference(rewrite,[status(thm)],[])).
% 9.28/6.80 tff(23991,plain,
% 9.28/6.80 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB174)) | ![B: $i] : ((~less_3(B)) | (v84(constB174, B) <=> v123(constB174, B))))),
% 9.28/6.80 inference(quant_inst,[status(thm)],[])).
% 9.28/6.80 tff(23992,plain,
% 9.28/6.80 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB174)) | ![B: $i] : ((~less_3(B)) | (v84(constB174, B) <=> v123(constB174, B)))),
% 9.28/6.80 inference(modus_ponens,[status(thm)],[23991, 23990])).
% 9.28/6.80 tff(23993,plain,
% 9.28/6.80 ((~v94(constB174)) | ![B: $i] : ((~less_3(B)) | (v84(constB174, B) <=> v123(constB174, B)))),
% 9.28/6.80 inference(unit_resolution,[status(thm)],[23992, 9902])).
% 9.28/6.80 tff(23994,plain,
% 9.28/6.80 (![B: $i] : ((~less_3(B)) | (v84(constB174, B) <=> v123(constB174, B)))),
% 9.28/6.80 inference(unit_resolution,[status(thm)],[23993, 23989])).
% 9.28/6.80 tff(23995,plain,
% 9.28/6.80 (((~![B: $i] : ((~less_3(B)) | (v84(constB174, B) <=> v123(constB174, B)))) | ((~less_3(bitIndex2)) | (v84(constB174, bitIndex2) <=> v123(constB174, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB174, B) <=> v123(constB174, B)))) | (~less_3(bitIndex2)) | (v84(constB174, bitIndex2) <=> v123(constB174, bitIndex2)))),
% 9.28/6.80 inference(rewrite,[status(thm)],[])).
% 9.28/6.80 tff(23996,plain,
% 9.28/6.80 ((~![B: $i] : ((~less_3(B)) | (v84(constB174, B) <=> v123(constB174, B)))) | ((~less_3(bitIndex2)) | (v84(constB174, bitIndex2) <=> v123(constB174, bitIndex2)))),
% 9.28/6.80 inference(quant_inst,[status(thm)],[])).
% 9.28/6.80 tff(23997,plain,
% 9.28/6.80 ((~![B: $i] : ((~less_3(B)) | (v84(constB174, B) <=> v123(constB174, B)))) | (~less_3(bitIndex2)) | (v84(constB174, bitIndex2) <=> v123(constB174, bitIndex2))),
% 9.28/6.80 inference(modus_ponens,[status(thm)],[23996, 23995])).
% 9.28/6.80 tff(23998,plain,
% 9.28/6.80 (v84(constB174, bitIndex2) <=> v123(constB174, bitIndex2)),
% 9.28/6.80 inference(unit_resolution,[status(thm)],[23997, 832, 23994])).
% 9.28/6.80 tff(23999,plain,
% 9.28/6.80 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB173, constB174)) | ![B: $i] : ((~less_3(B)) | (v123(constB174, B) <=> v121(constB173, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB173, constB174)) | ![B: $i] : ((~less_3(B)) | (v123(constB174, B) <=> v121(constB173, B))))),
% 9.28/6.80 inference(rewrite,[status(thm)],[])).
% 9.28/6.80 tff(24000,plain,
% 9.28/6.80 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB173, constB174)) | ![B: $i] : ((~less_3(B)) | (v123(constB174, B) <=> v121(constB173, B))))),
% 9.28/6.80 inference(quant_inst,[status(thm)],[])).
% 9.28/6.80 tff(24001,plain,
% 9.28/6.80 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB173, constB174)) | ![B: $i] : ((~less_3(B)) | (v123(constB174, B) <=> v121(constB173, B)))),
% 9.28/6.80 inference(modus_ponens,[status(thm)],[24000, 23999])).
% 9.28/6.80 tff(24002,plain,
% 9.28/6.80 (![B: $i] : ((~less_3(B)) | (v123(constB174, B) <=> v121(constB173, B)))),
% 9.28/6.80 inference(unit_resolution,[status(thm)],[24001, 1821, 9924])).
% 9.28/6.80 tff(24003,plain,
% 9.28/6.80 (((~![B: $i] : ((~less_3(B)) | (v123(constB174, B) <=> v121(constB173, B)))) | ((~less_3(bitIndex2)) | (v123(constB174, bitIndex2) <=> v121(constB173, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB174, B) <=> v121(constB173, B)))) | (~less_3(bitIndex2)) | (v123(constB174, bitIndex2) <=> v121(constB173, bitIndex2)))),
% 9.28/6.80 inference(rewrite,[status(thm)],[])).
% 9.28/6.80 tff(24004,plain,
% 9.28/6.80 ((~![B: $i] : ((~less_3(B)) | (v123(constB174, B) <=> v121(constB173, B)))) | ((~less_3(bitIndex2)) | (v123(constB174, bitIndex2) <=> v121(constB173, bitIndex2)))),
% 9.28/6.80 inference(quant_inst,[status(thm)],[])).
% 9.28/6.80 tff(24005,plain,
% 9.28/6.80 ((~![B: $i] : ((~less_3(B)) | (v123(constB174, B) <=> v121(constB173, B)))) | (~less_3(bitIndex2)) | (v123(constB174, bitIndex2) <=> v121(constB173, bitIndex2))),
% 9.28/6.80 inference(modus_ponens,[status(thm)],[24004, 24003])).
% 9.28/6.80 tff(24006,plain,
% 9.28/6.80 (v123(constB174, bitIndex2) <=> v121(constB173, bitIndex2)),
% 9.28/6.80 inference(unit_resolution,[status(thm)],[24005, 832, 24002])).
% 9.28/6.80 tff(24007,plain,
% 9.28/6.80 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB173) | ![B: $i] : ((~less_3(B)) | (v121(constB173, B) <=> v124(constB173, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB173) | ![B: $i] : ((~less_3(B)) | (v121(constB173, B) <=> v124(constB173, B))))),
% 9.28/6.80 inference(rewrite,[status(thm)],[])).
% 9.28/6.80 tff(24008,plain,
% 9.28/6.80 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB173) | ![B: $i] : ((~less_3(B)) | (v121(constB173, B) <=> v124(constB173, B))))),
% 9.28/6.80 inference(quant_inst,[status(thm)],[])).
% 9.28/6.80 tff(24009,plain,
% 9.28/6.80 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB173) | ![B: $i] : ((~less_3(B)) | (v121(constB173, B) <=> v124(constB173, B)))),
% 9.28/6.80 inference(modus_ponens,[status(thm)],[24008, 24007])).
% 9.28/6.80 tff(24010,plain,
% 9.28/6.80 (![B: $i] : ((~less_3(B)) | (v121(constB173, B) <=> v124(constB173, B)))),
% 9.28/6.80 inference(unit_resolution,[status(thm)],[24009, 9945, 23971])).
% 9.28/6.80 tff(24011,plain,
% 9.28/6.80 (((~![B: $i] : ((~less_3(B)) | (v121(constB173, B) <=> v124(constB173, B)))) | ((~less_3(bitIndex2)) | (v121(constB173, bitIndex2) <=> v124(constB173, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB173, B) <=> v124(constB173, B)))) | (~less_3(bitIndex2)) | (v121(constB173, bitIndex2) <=> v124(constB173, bitIndex2)))),
% 9.28/6.80 inference(rewrite,[status(thm)],[])).
% 9.28/6.80 tff(24012,plain,
% 9.28/6.80 ((~![B: $i] : ((~less_3(B)) | (v121(constB173, B) <=> v124(constB173, B)))) | ((~less_3(bitIndex2)) | (v121(constB173, bitIndex2) <=> v124(constB173, bitIndex2)))),
% 9.28/6.80 inference(quant_inst,[status(thm)],[])).
% 9.28/6.80 tff(24013,plain,
% 9.28/6.80 ((~![B: $i] : ((~less_3(B)) | (v121(constB173, B) <=> v124(constB173, B)))) | (~less_3(bitIndex2)) | (v121(constB173, bitIndex2) <=> v124(constB173, bitIndex2))),
% 9.28/6.80 inference(modus_ponens,[status(thm)],[24012, 24011])).
% 9.28/6.80 tff(24014,plain,
% 9.28/6.80 (v121(constB173, bitIndex2) <=> v124(constB173, bitIndex2)),
% 9.28/6.80 inference(unit_resolution,[status(thm)],[24013, 832, 24010])).
% 9.28/6.80 tff(24015,plain,
% 9.28/6.80 (((~![VarCurr: $i] : ((~v115(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b011(B))))) | ((~v115(constB173)) | ![B: $i] : ((~less_3(B)) | (v124(constB173, B) <=> b011(B))))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b011(B))))) | (~v115(constB173)) | ![B: $i] : ((~less_3(B)) | (v124(constB173, B) <=> b011(B))))),
% 9.28/6.80 inference(rewrite,[status(thm)],[])).
% 9.28/6.80 tff(24016,plain,
% 9.28/6.80 ((~![VarCurr: $i] : ((~v115(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b011(B))))) | ((~v115(constB173)) | ![B: $i] : ((~less_3(B)) | (v124(constB173, B) <=> b011(B))))),
% 9.28/6.80 inference(quant_inst,[status(thm)],[])).
% 9.28/6.80 tff(24017,plain,
% 9.28/6.80 ((~![VarCurr: $i] : ((~v115(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b011(B))))) | (~v115(constB173)) | ![B: $i] : ((~less_3(B)) | (v124(constB173, B) <=> b011(B)))),
% 9.28/6.80 inference(modus_ponens,[status(thm)],[24016, 24015])).
% 9.28/6.80 tff(24018,plain,
% 9.28/6.80 ((~v115(constB173)) | ![B: $i] : ((~less_3(B)) | (v124(constB173, B) <=> b011(B)))),
% 9.28/6.80 inference(unit_resolution,[status(thm)],[24017, 10329])).
% 9.28/6.80 tff(24019,plain,
% 9.28/6.80 (![B: $i] : ((~less_3(B)) | (v124(constB173, B) <=> b011(B)))),
% 9.28/6.80 inference(unit_resolution,[status(thm)],[24018, 23942])).
% 9.28/6.80 tff(24020,plain,
% 9.28/6.80 (((~![B: $i] : ((~less_3(B)) | (v124(constB173, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v124(constB173, bitIndex2) <=> b011(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB173, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v124(constB173, bitIndex2) <=> b011(bitIndex2)))),
% 9.28/6.80 inference(rewrite,[status(thm)],[])).
% 9.28/6.80 tff(24021,plain,
% 9.28/6.80 ((~![B: $i] : ((~less_3(B)) | (v124(constB173, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v124(constB173, bitIndex2) <=> b011(bitIndex2)))),
% 9.28/6.80 inference(quant_inst,[status(thm)],[])).
% 9.28/6.80 tff(24022,plain,
% 9.28/6.80 ((~![B: $i] : ((~less_3(B)) | (v124(constB173, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v124(constB173, bitIndex2) <=> b011(bitIndex2))),
% 9.28/6.80 inference(modus_ponens,[status(thm)],[24021, 24020])).
% 9.28/6.80 tff(24023,plain,
% 9.28/6.80 (v124(constB173, bitIndex2) <=> b011(bitIndex2)),
% 9.28/6.80 inference(unit_resolution,[status(thm)],[24022, 832, 24019])).
% 9.28/6.80 tff(24024,plain,
% 9.28/6.80 ((~(v124(constB173, bitIndex2) <=> b011(bitIndex2))) | (~v124(constB173, bitIndex2)) | b011(bitIndex2)),
% 9.28/6.80 inference(tautology,[status(thm)],[])).
% 9.28/6.80 tff(24025,plain,
% 9.28/6.80 ((~(v124(constB173, bitIndex2) <=> b011(bitIndex2))) | (~v124(constB173, bitIndex2))),
% 9.28/6.80 inference(unit_resolution,[status(thm)],[24024, 10341])).
% 9.28/6.80 tff(24026,plain,
% 9.28/6.80 (~v124(constB173, bitIndex2)),
% 9.28/6.80 inference(unit_resolution,[status(thm)],[24025, 24023])).
% 9.28/6.80 tff(24027,plain,
% 9.28/6.80 ((~(v121(constB173, bitIndex2) <=> v124(constB173, bitIndex2))) | (~v121(constB173, bitIndex2)) | v124(constB173, bitIndex2)),
% 9.28/6.80 inference(tautology,[status(thm)],[])).
% 9.28/6.80 tff(24028,plain,
% 9.28/6.80 (~v121(constB173, bitIndex2)),
% 9.28/6.80 inference(unit_resolution,[status(thm)],[24027, 24026, 24014])).
% 9.28/6.80 tff(24029,plain,
% 9.28/6.80 ((~(v123(constB174, bitIndex2) <=> v121(constB173, bitIndex2))) | (~v123(constB174, bitIndex2)) | v121(constB173, bitIndex2)),
% 9.28/6.80 inference(tautology,[status(thm)],[])).
% 9.28/6.80 tff(24030,plain,
% 9.28/6.80 (~v123(constB174, bitIndex2)),
% 9.28/6.80 inference(unit_resolution,[status(thm)],[24029, 24028, 24006])).
% 9.28/6.80 tff(24031,plain,
% 9.28/6.80 ((~(v84(constB174, bitIndex2) <=> v123(constB174, bitIndex2))) | (~v84(constB174, bitIndex2)) | v123(constB174, bitIndex2)),
% 9.28/6.80 inference(tautology,[status(thm)],[])).
% 9.28/6.80 tff(24032,plain,
% 9.28/6.80 (~v84(constB174, bitIndex2)),
% 9.28/6.80 inference(unit_resolution,[status(thm)],[24031, 24030, 23998])).
% 9.28/6.80 tff(24033,plain,
% 9.28/6.80 ((~(v84(constB175, bitIndex2) <=> v84(constB174, bitIndex2))) | (~v84(constB175, bitIndex2)) | v84(constB174, bitIndex2)),
% 9.28/6.80 inference(tautology,[status(thm)],[])).
% 9.28/6.80 tff(24034,plain,
% 9.28/6.80 (~v84(constB175, bitIndex2)),
% 9.28/6.80 inference(unit_resolution,[status(thm)],[24033, 24032, 1818])).
% 9.28/6.80 tff(24035,plain,
% 9.28/6.80 (((~![B: $i] : ((~less_3(B)) | (v84(constB175, B) <=> v84(constB174, B)))) | ((~less_3(bitIndex0)) | (v84(constB175, bitIndex0) <=> v84(constB174, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB175, B) <=> v84(constB174, B)))) | (~less_3(bitIndex0)) | (v84(constB175, bitIndex0) <=> v84(constB174, bitIndex0)))),
% 9.28/6.80 inference(rewrite,[status(thm)],[])).
% 9.28/6.80 tff(24036,plain,
% 9.28/6.80 ((~![B: $i] : ((~less_3(B)) | (v84(constB175, B) <=> v84(constB174, B)))) | ((~less_3(bitIndex0)) | (v84(constB175, bitIndex0) <=> v84(constB174, bitIndex0)))),
% 9.28/6.80 inference(quant_inst,[status(thm)],[])).
% 9.28/6.80 tff(24037,plain,
% 9.28/6.80 ((~![B: $i] : ((~less_3(B)) | (v84(constB175, B) <=> v84(constB174, B)))) | (~less_3(bitIndex0)) | (v84(constB175, bitIndex0) <=> v84(constB174, bitIndex0))),
% 9.28/6.80 inference(modus_ponens,[status(thm)],[24036, 24035])).
% 9.28/6.80 tff(24038,plain,
% 9.28/6.80 (v84(constB175, bitIndex0) <=> v84(constB174, bitIndex0)),
% 9.28/6.80 inference(unit_resolution,[status(thm)],[24037, 9772, 1814])).
% 9.28/6.80 tff(24039,plain,
% 9.28/6.80 (((~![B: $i] : ((~less_3(B)) | (v84(constB174, B) <=> v123(constB174, B)))) | ((~less_3(bitIndex0)) | (v84(constB174, bitIndex0) <=> v123(constB174, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB174, B) <=> v123(constB174, B)))) | (~less_3(bitIndex0)) | (v84(constB174, bitIndex0) <=> v123(constB174, bitIndex0)))),
% 9.28/6.80 inference(rewrite,[status(thm)],[])).
% 9.28/6.80 tff(24040,plain,
% 9.28/6.80 ((~![B: $i] : ((~less_3(B)) | (v84(constB174, B) <=> v123(constB174, B)))) | ((~less_3(bitIndex0)) | (v84(constB174, bitIndex0) <=> v123(constB174, bitIndex0)))),
% 9.28/6.80 inference(quant_inst,[status(thm)],[])).
% 9.28/6.80 tff(24041,plain,
% 9.28/6.80 ((~![B: $i] : ((~less_3(B)) | (v84(constB174, B) <=> v123(constB174, B)))) | (~less_3(bitIndex0)) | (v84(constB174, bitIndex0) <=> v123(constB174, bitIndex0))),
% 9.28/6.80 inference(modus_ponens,[status(thm)],[24040, 24039])).
% 9.28/6.80 tff(24042,plain,
% 9.28/6.80 (v84(constB174, bitIndex0) <=> v123(constB174, bitIndex0)),
% 9.28/6.80 inference(unit_resolution,[status(thm)],[24041, 9772, 23994])).
% 9.28/6.80 tff(24043,plain,
% 9.28/6.80 (((~![B: $i] : ((~less_3(B)) | (v123(constB174, B) <=> v121(constB173, B)))) | ((~less_3(bitIndex0)) | (v123(constB174, bitIndex0) <=> v121(constB173, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB174, B) <=> v121(constB173, B)))) | (~less_3(bitIndex0)) | (v123(constB174, bitIndex0) <=> v121(constB173, bitIndex0)))),
% 9.28/6.80 inference(rewrite,[status(thm)],[])).
% 9.28/6.80 tff(24044,plain,
% 9.28/6.80 ((~![B: $i] : ((~less_3(B)) | (v123(constB174, B) <=> v121(constB173, B)))) | ((~less_3(bitIndex0)) | (v123(constB174, bitIndex0) <=> v121(constB173, bitIndex0)))),
% 9.28/6.80 inference(quant_inst,[status(thm)],[])).
% 9.28/6.80 tff(24045,plain,
% 9.28/6.80 ((~![B: $i] : ((~less_3(B)) | (v123(constB174, B) <=> v121(constB173, B)))) | (~less_3(bitIndex0)) | (v123(constB174, bitIndex0) <=> v121(constB173, bitIndex0))),
% 9.28/6.80 inference(modus_ponens,[status(thm)],[24044, 24043])).
% 9.28/6.80 tff(24046,plain,
% 9.28/6.80 (v123(constB174, bitIndex0) <=> v121(constB173, bitIndex0)),
% 9.28/6.80 inference(unit_resolution,[status(thm)],[24045, 9772, 24002])).
% 9.28/6.80 tff(24047,plain,
% 9.28/6.80 (((~![B: $i] : ((~less_3(B)) | (v121(constB173, B) <=> v124(constB173, B)))) | ((~less_3(bitIndex0)) | (v121(constB173, bitIndex0) <=> v124(constB173, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB173, B) <=> v124(constB173, B)))) | (~less_3(bitIndex0)) | (v121(constB173, bitIndex0) <=> v124(constB173, bitIndex0)))),
% 9.28/6.80 inference(rewrite,[status(thm)],[])).
% 9.28/6.80 tff(24048,plain,
% 9.28/6.80 ((~![B: $i] : ((~less_3(B)) | (v121(constB173, B) <=> v124(constB173, B)))) | ((~less_3(bitIndex0)) | (v121(constB173, bitIndex0) <=> v124(constB173, bitIndex0)))),
% 9.28/6.80 inference(quant_inst,[status(thm)],[])).
% 9.28/6.80 tff(24049,plain,
% 9.28/6.80 ((~![B: $i] : ((~less_3(B)) | (v121(constB173, B) <=> v124(constB173, B)))) | (~less_3(bitIndex0)) | (v121(constB173, bitIndex0) <=> v124(constB173, bitIndex0))),
% 9.28/6.80 inference(modus_ponens,[status(thm)],[24048, 24047])).
% 9.28/6.80 tff(24050,plain,
% 9.28/6.80 (v121(constB173, bitIndex0) <=> v124(constB173, bitIndex0)),
% 9.28/6.80 inference(unit_resolution,[status(thm)],[24049, 9772, 24010])).
% 9.28/6.80 tff(24051,plain,
% 9.28/6.80 (((~![B: $i] : ((~less_3(B)) | (v124(constB173, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v124(constB173, bitIndex0) <=> b011(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB173, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v124(constB173, bitIndex0) <=> b011(bitIndex0)))),
% 9.28/6.80 inference(rewrite,[status(thm)],[])).
% 9.28/6.80 tff(24052,plain,
% 9.28/6.80 ((~![B: $i] : ((~less_3(B)) | (v124(constB173, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v124(constB173, bitIndex0) <=> b011(bitIndex0)))),
% 9.28/6.80 inference(quant_inst,[status(thm)],[])).
% 9.28/6.80 tff(24053,plain,
% 9.28/6.80 ((~![B: $i] : ((~less_3(B)) | (v124(constB173, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v124(constB173, bitIndex0) <=> b011(bitIndex0))),
% 9.28/6.80 inference(modus_ponens,[status(thm)],[24052, 24051])).
% 9.28/6.80 tff(24054,plain,
% 9.28/6.80 (v124(constB173, bitIndex0) <=> b011(bitIndex0)),
% 9.28/6.80 inference(unit_resolution,[status(thm)],[24053, 9772, 24019])).
% 9.28/6.80 tff(24055,plain,
% 9.28/6.80 ((~(v124(constB173, bitIndex0) <=> b011(bitIndex0))) | v124(constB173, bitIndex0) | (~b011(bitIndex0))),
% 9.28/6.80 inference(tautology,[status(thm)],[])).
% 9.28/6.80 tff(24056,plain,
% 9.28/6.80 ((~(v124(constB173, bitIndex0) <=> b011(bitIndex0))) | v124(constB173, bitIndex0)),
% 9.28/6.80 inference(unit_resolution,[status(thm)],[24055, 10375])).
% 9.28/6.80 tff(24057,plain,
% 9.28/6.80 (v124(constB173, bitIndex0)),
% 9.28/6.80 inference(unit_resolution,[status(thm)],[24056, 24054])).
% 9.28/6.80 tff(24058,plain,
% 9.28/6.80 ((~(v121(constB173, bitIndex0) <=> v124(constB173, bitIndex0))) | v121(constB173, bitIndex0) | (~v124(constB173, bitIndex0))),
% 9.28/6.80 inference(tautology,[status(thm)],[])).
% 9.28/6.80 tff(24059,plain,
% 9.28/6.80 (v121(constB173, bitIndex0)),
% 9.28/6.80 inference(unit_resolution,[status(thm)],[24058, 24057, 24050])).
% 9.28/6.80 tff(24060,plain,
% 9.28/6.80 ((~(v123(constB174, bitIndex0) <=> v121(constB173, bitIndex0))) | v123(constB174, bitIndex0) | (~v121(constB173, bitIndex0))),
% 9.28/6.80 inference(tautology,[status(thm)],[])).
% 9.28/6.80 tff(24061,plain,
% 9.28/6.80 (v123(constB174, bitIndex0)),
% 9.28/6.80 inference(unit_resolution,[status(thm)],[24060, 24059, 24046])).
% 9.28/6.80 tff(24062,plain,
% 9.28/6.80 ((~(v84(constB174, bitIndex0) <=> v123(constB174, bitIndex0))) | v84(constB174, bitIndex0) | (~v123(constB174, bitIndex0))),
% 9.28/6.80 inference(tautology,[status(thm)],[])).
% 9.28/6.80 tff(24063,plain,
% 9.28/6.80 (v84(constB174, bitIndex0)),
% 9.28/6.80 inference(unit_resolution,[status(thm)],[24062, 24061, 24042])).
% 9.28/6.80 tff(24064,plain,
% 9.28/6.80 ((~(v84(constB175, bitIndex0) <=> v84(constB174, bitIndex0))) | v84(constB175, bitIndex0) | (~v84(constB174, bitIndex0))),
% 9.28/6.80 inference(tautology,[status(thm)],[])).
% 9.28/6.80 tff(24065,plain,
% 9.28/6.80 (v84(constB175, bitIndex0)),
% 9.28/6.80 inference(unit_resolution,[status(thm)],[24064, 24063, 24038])).
% 9.28/6.80 tff(24066,plain,
% 9.28/6.80 (((~![B: $i] : ((~less_3(B)) | (v84(constB175, B) <=> v84(constB174, B)))) | ((~less_3(bitIndex1)) | (v84(constB175, bitIndex1) <=> v84(constB174, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB175, B) <=> v84(constB174, B)))) | (~less_3(bitIndex1)) | (v84(constB175, bitIndex1) <=> v84(constB174, bitIndex1)))),
% 9.28/6.80 inference(rewrite,[status(thm)],[])).
% 9.28/6.80 tff(24067,plain,
% 9.28/6.80 ((~![B: $i] : ((~less_3(B)) | (v84(constB175, B) <=> v84(constB174, B)))) | ((~less_3(bitIndex1)) | (v84(constB175, bitIndex1) <=> v84(constB174, bitIndex1)))),
% 9.28/6.80 inference(quant_inst,[status(thm)],[])).
% 9.28/6.80 tff(24068,plain,
% 9.28/6.80 ((~![B: $i] : ((~less_3(B)) | (v84(constB175, B) <=> v84(constB174, B)))) | (~less_3(bitIndex1)) | (v84(constB175, bitIndex1) <=> v84(constB174, bitIndex1))),
% 9.28/6.80 inference(modus_ponens,[status(thm)],[24067, 24066])).
% 9.28/6.80 tff(24069,plain,
% 9.28/6.80 (v84(constB175, bitIndex1) <=> v84(constB174, bitIndex1)),
% 9.28/6.80 inference(unit_resolution,[status(thm)],[24068, 9785, 1814])).
% 9.28/6.80 tff(24070,plain,
% 9.28/6.80 (((~![B: $i] : ((~less_3(B)) | (v84(constB174, B) <=> v123(constB174, B)))) | ((~less_3(bitIndex1)) | (v84(constB174, bitIndex1) <=> v123(constB174, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB174, B) <=> v123(constB174, B)))) | (~less_3(bitIndex1)) | (v84(constB174, bitIndex1) <=> v123(constB174, bitIndex1)))),
% 9.28/6.80 inference(rewrite,[status(thm)],[])).
% 9.28/6.80 tff(24071,plain,
% 9.28/6.80 ((~![B: $i] : ((~less_3(B)) | (v84(constB174, B) <=> v123(constB174, B)))) | ((~less_3(bitIndex1)) | (v84(constB174, bitIndex1) <=> v123(constB174, bitIndex1)))),
% 9.28/6.80 inference(quant_inst,[status(thm)],[])).
% 9.28/6.80 tff(24072,plain,
% 9.28/6.80 ((~![B: $i] : ((~less_3(B)) | (v84(constB174, B) <=> v123(constB174, B)))) | (~less_3(bitIndex1)) | (v84(constB174, bitIndex1) <=> v123(constB174, bitIndex1))),
% 9.28/6.80 inference(modus_ponens,[status(thm)],[24071, 24070])).
% 9.28/6.80 tff(24073,plain,
% 9.28/6.80 (v84(constB174, bitIndex1) <=> v123(constB174, bitIndex1)),
% 9.28/6.80 inference(unit_resolution,[status(thm)],[24072, 9785, 23994])).
% 9.28/6.80 tff(24074,plain,
% 9.28/6.80 (((~![B: $i] : ((~less_3(B)) | (v123(constB174, B) <=> v121(constB173, B)))) | ((~less_3(bitIndex1)) | (v123(constB174, bitIndex1) <=> v121(constB173, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB174, B) <=> v121(constB173, B)))) | (~less_3(bitIndex1)) | (v123(constB174, bitIndex1) <=> v121(constB173, bitIndex1)))),
% 9.28/6.80 inference(rewrite,[status(thm)],[])).
% 9.28/6.80 tff(24075,plain,
% 9.28/6.80 ((~![B: $i] : ((~less_3(B)) | (v123(constB174, B) <=> v121(constB173, B)))) | ((~less_3(bitIndex1)) | (v123(constB174, bitIndex1) <=> v121(constB173, bitIndex1)))),
% 9.28/6.80 inference(quant_inst,[status(thm)],[])).
% 9.28/6.80 tff(24076,plain,
% 9.28/6.80 ((~![B: $i] : ((~less_3(B)) | (v123(constB174, B) <=> v121(constB173, B)))) | (~less_3(bitIndex1)) | (v123(constB174, bitIndex1) <=> v121(constB173, bitIndex1))),
% 9.28/6.80 inference(modus_ponens,[status(thm)],[24075, 24074])).
% 9.28/6.80 tff(24077,plain,
% 9.28/6.80 (v123(constB174, bitIndex1) <=> v121(constB173, bitIndex1)),
% 9.28/6.80 inference(unit_resolution,[status(thm)],[24076, 9785, 24002])).
% 9.28/6.80 tff(24078,plain,
% 9.28/6.80 (((~![B: $i] : ((~less_3(B)) | (v121(constB173, B) <=> v124(constB173, B)))) | ((~less_3(bitIndex1)) | (v121(constB173, bitIndex1) <=> v124(constB173, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB173, B) <=> v124(constB173, B)))) | (~less_3(bitIndex1)) | (v121(constB173, bitIndex1) <=> v124(constB173, bitIndex1)))),
% 9.28/6.80 inference(rewrite,[status(thm)],[])).
% 9.28/6.80 tff(24079,plain,
% 9.28/6.80 ((~![B: $i] : ((~less_3(B)) | (v121(constB173, B) <=> v124(constB173, B)))) | ((~less_3(bitIndex1)) | (v121(constB173, bitIndex1) <=> v124(constB173, bitIndex1)))),
% 9.28/6.80 inference(quant_inst,[status(thm)],[])).
% 9.28/6.80 tff(24080,plain,
% 9.28/6.80 ((~![B: $i] : ((~less_3(B)) | (v121(constB173, B) <=> v124(constB173, B)))) | (~less_3(bitIndex1)) | (v121(constB173, bitIndex1) <=> v124(constB173, bitIndex1))),
% 9.28/6.80 inference(modus_ponens,[status(thm)],[24079, 24078])).
% 9.28/6.80 tff(24081,plain,
% 9.28/6.80 (v121(constB173, bitIndex1) <=> v124(constB173, bitIndex1)),
% 9.28/6.80 inference(unit_resolution,[status(thm)],[24080, 9785, 24010])).
% 9.28/6.80 tff(24082,plain,
% 9.28/6.80 (((~![B: $i] : ((~less_3(B)) | (v124(constB173, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v124(constB173, bitIndex1) <=> b011(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB173, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v124(constB173, bitIndex1) <=> b011(bitIndex1)))),
% 9.28/6.80 inference(rewrite,[status(thm)],[])).
% 9.28/6.80 tff(24083,plain,
% 9.28/6.80 ((~![B: $i] : ((~less_3(B)) | (v124(constB173, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v124(constB173, bitIndex1) <=> b011(bitIndex1)))),
% 9.28/6.80 inference(quant_inst,[status(thm)],[])).
% 9.28/6.80 tff(24084,plain,
% 9.28/6.80 ((~![B: $i] : ((~less_3(B)) | (v124(constB173, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v124(constB173, bitIndex1) <=> b011(bitIndex1))),
% 9.28/6.80 inference(modus_ponens,[status(thm)],[24083, 24082])).
% 9.28/6.80 tff(24085,plain,
% 9.28/6.80 (v124(constB173, bitIndex1) <=> b011(bitIndex1)),
% 9.28/6.80 inference(unit_resolution,[status(thm)],[24084, 9785, 24019])).
% 9.28/6.80 tff(24086,plain,
% 9.28/6.80 ((~(v124(constB173, bitIndex1) <=> b011(bitIndex1))) | v124(constB173, bitIndex1) | (~b011(bitIndex1))),
% 9.28/6.80 inference(tautology,[status(thm)],[])).
% 9.28/6.80 tff(24087,plain,
% 9.28/6.80 ((~(v124(constB173, bitIndex1) <=> b011(bitIndex1))) | v124(constB173, bitIndex1)),
% 9.28/6.80 inference(unit_resolution,[status(thm)],[24086, 10409])).
% 9.28/6.80 tff(24088,plain,
% 9.28/6.80 (v124(constB173, bitIndex1)),
% 9.28/6.80 inference(unit_resolution,[status(thm)],[24087, 24085])).
% 9.28/6.80 tff(24089,plain,
% 9.28/6.80 ((~(v121(constB173, bitIndex1) <=> v124(constB173, bitIndex1))) | v121(constB173, bitIndex1) | (~v124(constB173, bitIndex1))),
% 9.28/6.80 inference(tautology,[status(thm)],[])).
% 9.28/6.80 tff(24090,plain,
% 9.28/6.80 (v121(constB173, bitIndex1)),
% 9.28/6.80 inference(unit_resolution,[status(thm)],[24089, 24088, 24081])).
% 9.28/6.80 tff(24091,plain,
% 9.28/6.80 ((~(v123(constB174, bitIndex1) <=> v121(constB173, bitIndex1))) | v123(constB174, bitIndex1) | (~v121(constB173, bitIndex1))),
% 9.28/6.80 inference(tautology,[status(thm)],[])).
% 9.28/6.80 tff(24092,plain,
% 9.28/6.80 (v123(constB174, bitIndex1)),
% 9.28/6.80 inference(unit_resolution,[status(thm)],[24091, 24090, 24077])).
% 9.28/6.80 tff(24093,plain,
% 9.28/6.80 ((~(v84(constB174, bitIndex1) <=> v123(constB174, bitIndex1))) | v84(constB174, bitIndex1) | (~v123(constB174, bitIndex1))),
% 9.28/6.80 inference(tautology,[status(thm)],[])).
% 9.28/6.80 tff(24094,plain,
% 9.28/6.80 (v84(constB174, bitIndex1)),
% 9.28/6.80 inference(unit_resolution,[status(thm)],[24093, 24092, 24073])).
% 9.28/6.80 tff(24095,plain,
% 9.28/6.80 ((~(v84(constB175, bitIndex1) <=> v84(constB174, bitIndex1))) | v84(constB175, bitIndex1) | (~v84(constB174, bitIndex1))),
% 9.28/6.80 inference(tautology,[status(thm)],[])).
% 9.28/6.80 tff(24096,plain,
% 9.28/6.80 (v84(constB175, bitIndex1)),
% 9.28/6.80 inference(unit_resolution,[status(thm)],[24095, 24094, 24069])).
% 9.28/6.80 tff(24097,plain,
% 9.28/6.80 ((~(v84(constB175, bitIndex2) | (~v84(constB175, bitIndex1)) | (~v84(constB175, bitIndex0)))) | v84(constB175, bitIndex2) | (~v84(constB175, bitIndex1)) | (~v84(constB175, bitIndex0))),
% 9.28/6.80 inference(tautology,[status(thm)],[])).
% 9.28/6.80 tff(24098,plain,
% 9.28/6.80 (~(v84(constB175, bitIndex2) | (~v84(constB175, bitIndex1)) | (~v84(constB175, bitIndex0)))),
% 9.28/6.80 inference(unit_resolution,[status(thm)],[24097, 24096, 24065, 24034])).
% 9.28/6.80 tff(24099,plain,
% 9.28/6.80 ((~(v116(constB175) <=> (~(v84(constB175, bitIndex2) | (~v84(constB175, bitIndex1)) | (~v84(constB175, bitIndex0)))))) | v116(constB175) | (v84(constB175, bitIndex2) | (~v84(constB175, bitIndex1)) | (~v84(constB175, bitIndex0)))),
% 9.28/6.80 inference(tautology,[status(thm)],[])).
% 9.28/6.80 tff(24100,plain,
% 9.28/6.80 (v116(constB175)),
% 9.28/6.80 inference(unit_resolution,[status(thm)],[24099, 24098, 1786])).
% 9.28/6.80 tff(24101,plain,
% 9.28/6.80 ((v111(constB175) | v116(constB175)) | (~v116(constB175))),
% 9.28/6.80 inference(tautology,[status(thm)],[])).
% 9.28/6.80 tff(24102,plain,
% 9.28/6.80 (v111(constB175) | v116(constB175)),
% 9.28/6.80 inference(unit_resolution,[status(thm)],[24101, 24100])).
% 9.28/6.80 tff(24103,plain,
% 9.28/6.80 ((~(v110(constB175) <=> (v111(constB175) | v116(constB175)))) | v110(constB175) | (~(v111(constB175) | v116(constB175)))),
% 9.28/6.80 inference(tautology,[status(thm)],[])).
% 9.28/6.80 tff(24104,plain,
% 9.28/6.80 (v110(constB175)),
% 9.28/6.80 inference(unit_resolution,[status(thm)],[24103, 24102, 1784])).
% 9.28/6.80 tff(24105,plain,
% 9.28/6.80 ((v110(constB175) | v117(constB175)) | (~v110(constB175))),
% 9.28/6.80 inference(tautology,[status(thm)],[])).
% 9.28/6.80 tff(24106,plain,
% 9.28/6.80 (v110(constB175) | v117(constB175)),
% 9.28/6.80 inference(unit_resolution,[status(thm)],[24105, 24104])).
% 9.28/6.80 tff(24107,plain,
% 9.28/6.80 ((~(v109(constB175) <=> (v110(constB175) | v117(constB175)))) | v109(constB175) | (~(v110(constB175) | v117(constB175)))),
% 9.28/6.80 inference(tautology,[status(thm)],[])).
% 9.28/6.80 tff(24108,plain,
% 9.28/6.80 (v109(constB175)),
% 9.28/6.80 inference(unit_resolution,[status(thm)],[24107, 24106, 1782])).
% 9.28/6.80 tff(24109,plain,
% 9.28/6.80 ((v109(constB175) | v118(constB175)) | (~v109(constB175))),
% 9.28/6.80 inference(tautology,[status(thm)],[])).
% 9.28/6.80 tff(24110,plain,
% 9.28/6.80 (v109(constB175) | v118(constB175)),
% 9.28/6.80 inference(unit_resolution,[status(thm)],[24109, 24108])).
% 9.28/6.80 tff(24111,plain,
% 9.28/6.80 ((~(v108(constB175) <=> (v109(constB175) | v118(constB175)))) | v108(constB175) | (~(v109(constB175) | v118(constB175)))),
% 9.28/6.80 inference(tautology,[status(thm)],[])).
% 9.28/6.80 tff(24112,plain,
% 9.28/6.80 (v108(constB175)),
% 9.28/6.80 inference(unit_resolution,[status(thm)],[24111, 24110, 1780])).
% 9.28/6.80 tff(24113,plain,
% 9.28/6.80 ((v108(constB175) | v119(constB175)) | (~v108(constB175))),
% 9.28/6.80 inference(tautology,[status(thm)],[])).
% 9.28/6.80 tff(24114,plain,
% 9.28/6.80 (v108(constB175) | v119(constB175)),
% 9.28/6.80 inference(unit_resolution,[status(thm)],[24113, 24112])).
% 9.28/6.80 tff(24115,plain,
% 9.28/6.80 ((~(v107(constB175) <=> (v108(constB175) | v119(constB175)))) | v107(constB175) | (~(v108(constB175) | v119(constB175)))),
% 9.28/6.80 inference(tautology,[status(thm)],[])).
% 9.28/6.80 tff(24116,plain,
% 9.28/6.80 (v107(constB175)),
% 9.28/6.80 inference(unit_resolution,[status(thm)],[24115, 24114, 1778])).
% 9.28/6.80 tff(24117,plain,
% 9.28/6.80 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB175)) <=> v105(constB175))),
% 9.28/6.80 inference(quant_inst,[status(thm)],[])).
% 9.28/6.80 tff(24118,plain,
% 9.28/6.80 ((~v120(constB175)) <=> v105(constB175)),
% 9.28/6.80 inference(unit_resolution,[status(thm)],[24117, 9842])).
% 9.28/6.80 tff(24119,plain,
% 9.28/6.80 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB175) <=> v26(constB175))),
% 9.28/6.80 inference(quant_inst,[status(thm)],[])).
% 9.28/6.80 tff(24120,plain,
% 9.28/6.80 (v105(constB175) <=> v26(constB175)),
% 9.28/6.80 inference(unit_resolution,[status(thm)],[24119, 9854])).
% 9.28/6.80 tff(24121,plain,
% 9.28/6.80 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB175))),
% 9.28/6.80 inference(quant_inst,[status(thm)],[])).
% 9.28/6.80 tff(24122,plain,
% 9.28/6.80 (~v26(constB175)),
% 9.28/6.80 inference(unit_resolution,[status(thm)],[24121, 9866])).
% 9.28/6.80 tff(24123,plain,
% 9.28/6.80 ((~(v105(constB175) <=> v26(constB175))) | (~v105(constB175)) | v26(constB175)),
% 9.28/6.80 inference(tautology,[status(thm)],[])).
% 9.28/6.80 tff(24124,plain,
% 9.28/6.80 ((~(v105(constB175) <=> v26(constB175))) | (~v105(constB175))),
% 9.28/6.80 inference(unit_resolution,[status(thm)],[24123, 24122])).
% 9.28/6.80 tff(24125,plain,
% 9.28/6.80 (~v105(constB175)),
% 9.28/6.80 inference(unit_resolution,[status(thm)],[24124, 24120])).
% 9.28/6.80 tff(24126,plain,
% 9.28/6.80 ((~((~v120(constB175)) <=> v105(constB175))) | v120(constB175) | v105(constB175)),
% 9.28/6.80 inference(tautology,[status(thm)],[])).
% 9.28/6.80 tff(24127,plain,
% 9.28/6.80 ((~((~v120(constB175)) <=> v105(constB175))) | v120(constB175)),
% 9.28/6.80 inference(unit_resolution,[status(thm)],[24126, 24125])).
% 9.28/6.80 tff(24128,plain,
% 9.28/6.80 (v120(constB175)),
% 9.28/6.80 inference(unit_resolution,[status(thm)],[24127, 24118])).
% 9.28/6.80 tff(24129,plain,
% 9.28/6.80 ((~((~v107(constB175)) | (~v120(constB175)))) | (~v107(constB175)) | (~v120(constB175))),
% 9.28/6.80 inference(tautology,[status(thm)],[])).
% 9.28/6.80 tff(24130,plain,
% 9.28/6.80 ((~((~v107(constB175)) | (~v120(constB175)))) | (~v107(constB175))),
% 9.28/6.80 inference(unit_resolution,[status(thm)],[24129, 24128])).
% 9.28/6.80 tff(24131,plain,
% 9.28/6.80 (~((~v107(constB175)) | (~v120(constB175)))),
% 9.28/6.80 inference(unit_resolution,[status(thm)],[24130, 24116])).
% 9.28/6.80 tff(24132,plain,
% 9.28/6.80 ((~(v106(constB175) <=> (~((~v107(constB175)) | (~v120(constB175)))))) | v106(constB175) | ((~v107(constB175)) | (~v120(constB175)))),
% 9.28/6.81 inference(tautology,[status(thm)],[])).
% 9.28/6.81 tff(24133,plain,
% 9.28/6.81 (v106(constB175)),
% 9.28/6.81 inference(unit_resolution,[status(thm)],[24132, 24131, 1776])).
% 9.28/6.81 tff(24134,plain,
% 9.28/6.81 ((v105(constB175) | v106(constB175)) | (~v106(constB175))),
% 9.28/6.81 inference(tautology,[status(thm)],[])).
% 9.28/6.81 tff(24135,plain,
% 9.28/6.81 (v105(constB175) | v106(constB175)),
% 9.28/6.81 inference(unit_resolution,[status(thm)],[24134, 24133])).
% 9.28/6.81 tff(24136,plain,
% 9.28/6.81 ((~(v102(constB175) <=> (v105(constB175) | v106(constB175)))) | v102(constB175) | (~(v105(constB175) | v106(constB175)))),
% 9.28/6.81 inference(tautology,[status(thm)],[])).
% 9.28/6.81 tff(24137,plain,
% 9.28/6.81 (v102(constB175)),
% 9.28/6.81 inference(unit_resolution,[status(thm)],[24136, 24135, 1774])).
% 9.28/6.81 tff(24138,plain,
% 9.28/6.81 ((~(v104(constB176) <=> v102(constB175))) | v104(constB176) | (~v102(constB175))),
% 9.28/6.81 inference(tautology,[status(thm)],[])).
% 9.28/6.81 tff(24139,plain,
% 9.28/6.81 (v104(constB176)),
% 9.28/6.81 inference(unit_resolution,[status(thm)],[24138, 24137, 1772])).
% 9.28/6.81 tff(24140,plain,
% 9.28/6.81 ((~((~v104(constB176)) | (~v95(constB176)))) | (~v104(constB176)) | (~v95(constB176))),
% 9.28/6.81 inference(tautology,[status(thm)],[])).
% 9.28/6.81 tff(24141,plain,
% 9.28/6.81 (~((~v104(constB176)) | (~v95(constB176)))),
% 9.28/6.81 inference(unit_resolution,[status(thm)],[24140, 24139, 1768])).
% 9.28/6.81 tff(24142,plain,
% 9.28/6.81 ((~(v94(constB176) <=> (~((~v104(constB176)) | (~v95(constB176)))))) | v94(constB176) | ((~v104(constB176)) | (~v95(constB176)))),
% 9.28/6.81 inference(tautology,[status(thm)],[])).
% 9.28/6.81 tff(24143,plain,
% 9.28/6.81 (v94(constB176)),
% 9.28/6.81 inference(unit_resolution,[status(thm)],[24142, 24141, 1737])).
% 9.28/6.81 tff(24144,plain,
% 9.28/6.81 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB176)) | ![B: $i] : ((~less_3(B)) | (v84(constB176, B) <=> v123(constB176, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB176)) | ![B: $i] : ((~less_3(B)) | (v84(constB176, B) <=> v123(constB176, B))))),
% 9.28/6.81 inference(rewrite,[status(thm)],[])).
% 9.28/6.81 tff(24145,plain,
% 9.28/6.81 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB176)) | ![B: $i] : ((~less_3(B)) | (v84(constB176, B) <=> v123(constB176, B))))),
% 9.28/6.81 inference(quant_inst,[status(thm)],[])).
% 9.28/6.81 tff(24146,plain,
% 9.28/6.81 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB176)) | ![B: $i] : ((~less_3(B)) | (v84(constB176, B) <=> v123(constB176, B)))),
% 9.28/6.81 inference(modus_ponens,[status(thm)],[24145, 24144])).
% 9.28/6.81 tff(24147,plain,
% 9.28/6.81 ((~v94(constB176)) | ![B: $i] : ((~less_3(B)) | (v84(constB176, B) <=> v123(constB176, B)))),
% 9.28/6.81 inference(unit_resolution,[status(thm)],[24146, 9902])).
% 9.28/6.81 tff(24148,plain,
% 9.28/6.81 (![B: $i] : ((~less_3(B)) | (v84(constB176, B) <=> v123(constB176, B)))),
% 9.28/6.81 inference(unit_resolution,[status(thm)],[24147, 24143])).
% 9.28/6.81 tff(24149,plain,
% 9.28/6.81 (((~![B: $i] : ((~less_3(B)) | (v84(constB176, B) <=> v123(constB176, B)))) | ((~less_3(bitIndex2)) | (v84(constB176, bitIndex2) <=> v123(constB176, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB176, B) <=> v123(constB176, B)))) | (~less_3(bitIndex2)) | (v84(constB176, bitIndex2) <=> v123(constB176, bitIndex2)))),
% 9.28/6.81 inference(rewrite,[status(thm)],[])).
% 9.28/6.81 tff(24150,plain,
% 9.28/6.81 ((~![B: $i] : ((~less_3(B)) | (v84(constB176, B) <=> v123(constB176, B)))) | ((~less_3(bitIndex2)) | (v84(constB176, bitIndex2) <=> v123(constB176, bitIndex2)))),
% 9.28/6.81 inference(quant_inst,[status(thm)],[])).
% 9.28/6.81 tff(24151,plain,
% 9.28/6.81 ((~![B: $i] : ((~less_3(B)) | (v84(constB176, B) <=> v123(constB176, B)))) | (~less_3(bitIndex2)) | (v84(constB176, bitIndex2) <=> v123(constB176, bitIndex2))),
% 9.28/6.81 inference(modus_ponens,[status(thm)],[24150, 24149])).
% 9.28/6.81 tff(24152,plain,
% 9.28/6.81 (v84(constB176, bitIndex2) <=> v123(constB176, bitIndex2)),
% 9.28/6.81 inference(unit_resolution,[status(thm)],[24151, 832, 24148])).
% 9.28/6.81 tff(24153,plain,
% 9.28/6.81 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB175, constB176)) | ![B: $i] : ((~less_3(B)) | (v123(constB176, B) <=> v121(constB175, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB175, constB176)) | ![B: $i] : ((~less_3(B)) | (v123(constB176, B) <=> v121(constB175, B))))),
% 9.28/6.81 inference(rewrite,[status(thm)],[])).
% 9.28/6.81 tff(24154,plain,
% 9.28/6.81 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB175, constB176)) | ![B: $i] : ((~less_3(B)) | (v123(constB176, B) <=> v121(constB175, B))))),
% 9.28/6.81 inference(quant_inst,[status(thm)],[])).
% 9.28/6.81 tff(24155,plain,
% 9.28/6.81 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB175, constB176)) | ![B: $i] : ((~less_3(B)) | (v123(constB176, B) <=> v121(constB175, B)))),
% 9.28/6.81 inference(modus_ponens,[status(thm)],[24154, 24153])).
% 9.28/6.81 tff(24156,plain,
% 9.28/6.81 (![B: $i] : ((~less_3(B)) | (v123(constB176, B) <=> v121(constB175, B)))),
% 9.28/6.81 inference(unit_resolution,[status(thm)],[24155, 1733, 9924])).
% 9.28/6.81 tff(24157,plain,
% 9.28/6.81 (((~![B: $i] : ((~less_3(B)) | (v123(constB176, B) <=> v121(constB175, B)))) | ((~less_3(bitIndex2)) | (v123(constB176, bitIndex2) <=> v121(constB175, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB176, B) <=> v121(constB175, B)))) | (~less_3(bitIndex2)) | (v123(constB176, bitIndex2) <=> v121(constB175, bitIndex2)))),
% 9.28/6.81 inference(rewrite,[status(thm)],[])).
% 9.28/6.81 tff(24158,plain,
% 9.28/6.81 ((~![B: $i] : ((~less_3(B)) | (v123(constB176, B) <=> v121(constB175, B)))) | ((~less_3(bitIndex2)) | (v123(constB176, bitIndex2) <=> v121(constB175, bitIndex2)))),
% 9.28/6.81 inference(quant_inst,[status(thm)],[])).
% 9.28/6.81 tff(24159,plain,
% 9.28/6.81 ((~![B: $i] : ((~less_3(B)) | (v123(constB176, B) <=> v121(constB175, B)))) | (~less_3(bitIndex2)) | (v123(constB176, bitIndex2) <=> v121(constB175, bitIndex2))),
% 9.28/6.81 inference(modus_ponens,[status(thm)],[24158, 24157])).
% 9.28/6.81 tff(24160,plain,
% 9.28/6.81 (v123(constB176, bitIndex2) <=> v121(constB175, bitIndex2)),
% 9.28/6.81 inference(unit_resolution,[status(thm)],[24159, 832, 24156])).
% 9.28/6.81 tff(24161,plain,
% 9.28/6.81 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB175) | ![B: $i] : ((~less_3(B)) | (v121(constB175, B) <=> v124(constB175, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB175) | ![B: $i] : ((~less_3(B)) | (v121(constB175, B) <=> v124(constB175, B))))),
% 9.28/6.81 inference(rewrite,[status(thm)],[])).
% 9.28/6.81 tff(24162,plain,
% 9.28/6.81 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB175) | ![B: $i] : ((~less_3(B)) | (v121(constB175, B) <=> v124(constB175, B))))),
% 9.28/6.81 inference(quant_inst,[status(thm)],[])).
% 9.28/6.81 tff(24163,plain,
% 9.28/6.81 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB175) | ![B: $i] : ((~less_3(B)) | (v121(constB175, B) <=> v124(constB175, B)))),
% 9.28/6.81 inference(modus_ponens,[status(thm)],[24162, 24161])).
% 9.28/6.81 tff(24164,plain,
% 9.28/6.81 (![B: $i] : ((~less_3(B)) | (v121(constB175, B) <=> v124(constB175, B)))),
% 9.28/6.81 inference(unit_resolution,[status(thm)],[24163, 9945, 24125])).
% 9.28/6.81 tff(24165,plain,
% 9.28/6.81 (((~![B: $i] : ((~less_3(B)) | (v121(constB175, B) <=> v124(constB175, B)))) | ((~less_3(bitIndex2)) | (v121(constB175, bitIndex2) <=> v124(constB175, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB175, B) <=> v124(constB175, B)))) | (~less_3(bitIndex2)) | (v121(constB175, bitIndex2) <=> v124(constB175, bitIndex2)))),
% 9.28/6.81 inference(rewrite,[status(thm)],[])).
% 9.28/6.81 tff(24166,plain,
% 9.28/6.81 ((~![B: $i] : ((~less_3(B)) | (v121(constB175, B) <=> v124(constB175, B)))) | ((~less_3(bitIndex2)) | (v121(constB175, bitIndex2) <=> v124(constB175, bitIndex2)))),
% 9.28/6.81 inference(quant_inst,[status(thm)],[])).
% 9.28/6.81 tff(24167,plain,
% 9.28/6.81 ((~![B: $i] : ((~less_3(B)) | (v121(constB175, B) <=> v124(constB175, B)))) | (~less_3(bitIndex2)) | (v121(constB175, bitIndex2) <=> v124(constB175, bitIndex2))),
% 9.28/6.81 inference(modus_ponens,[status(thm)],[24166, 24165])).
% 9.28/6.81 tff(24168,plain,
% 9.28/6.81 (v121(constB175, bitIndex2) <=> v124(constB175, bitIndex2)),
% 9.28/6.81 inference(unit_resolution,[status(thm)],[24167, 832, 24164])).
% 9.28/6.81 tff(24169,plain,
% 9.28/6.81 (((~![VarCurr: $i] : ((~v116(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b100(B))))) | ((~v116(constB175)) | ![B: $i] : ((~less_3(B)) | (v124(constB175, B) <=> b100(B))))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b100(B))))) | (~v116(constB175)) | ![B: $i] : ((~less_3(B)) | (v124(constB175, B) <=> b100(B))))),
% 9.28/6.81 inference(rewrite,[status(thm)],[])).
% 9.28/6.81 tff(24170,plain,
% 9.28/6.81 ((~![VarCurr: $i] : ((~v116(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b100(B))))) | ((~v116(constB175)) | ![B: $i] : ((~less_3(B)) | (v124(constB175, B) <=> b100(B))))),
% 9.28/6.81 inference(quant_inst,[status(thm)],[])).
% 9.28/6.81 tff(24171,plain,
% 9.28/6.81 ((~![VarCurr: $i] : ((~v116(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b100(B))))) | (~v116(constB175)) | ![B: $i] : ((~less_3(B)) | (v124(constB175, B) <=> b100(B)))),
% 9.28/6.81 inference(modus_ponens,[status(thm)],[24170, 24169])).
% 9.28/6.81 tff(24172,plain,
% 9.28/6.81 ((~v116(constB175)) | ![B: $i] : ((~less_3(B)) | (v124(constB175, B) <=> b100(B)))),
% 9.28/6.81 inference(unit_resolution,[status(thm)],[24171, 10505])).
% 9.28/6.81 tff(24173,plain,
% 9.28/6.81 (![B: $i] : ((~less_3(B)) | (v124(constB175, B) <=> b100(B)))),
% 9.28/6.81 inference(unit_resolution,[status(thm)],[24172, 24100])).
% 9.28/6.81 tff(24174,plain,
% 9.28/6.81 (((~![B: $i] : ((~less_3(B)) | (v124(constB175, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v124(constB175, bitIndex2) <=> b100(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB175, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v124(constB175, bitIndex2) <=> b100(bitIndex2)))),
% 9.28/6.81 inference(rewrite,[status(thm)],[])).
% 9.28/6.81 tff(24175,plain,
% 9.28/6.81 ((~![B: $i] : ((~less_3(B)) | (v124(constB175, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v124(constB175, bitIndex2) <=> b100(bitIndex2)))),
% 9.28/6.81 inference(quant_inst,[status(thm)],[])).
% 9.28/6.81 tff(24176,plain,
% 9.28/6.81 ((~![B: $i] : ((~less_3(B)) | (v124(constB175, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v124(constB175, bitIndex2) <=> b100(bitIndex2))),
% 9.28/6.81 inference(modus_ponens,[status(thm)],[24175, 24174])).
% 9.28/6.81 tff(24177,plain,
% 9.28/6.81 (v124(constB175, bitIndex2) <=> b100(bitIndex2)),
% 9.28/6.81 inference(unit_resolution,[status(thm)],[24176, 832, 24173])).
% 9.28/6.81 tff(24178,plain,
% 9.28/6.81 ((~(v124(constB175, bitIndex2) <=> b100(bitIndex2))) | v124(constB175, bitIndex2) | (~b100(bitIndex2))),
% 9.28/6.81 inference(tautology,[status(thm)],[])).
% 9.28/6.81 tff(24179,plain,
% 9.28/6.81 ((~(v124(constB175, bitIndex2) <=> b100(bitIndex2))) | v124(constB175, bitIndex2)),
% 9.28/6.81 inference(unit_resolution,[status(thm)],[24178, 10517])).
% 9.28/6.81 tff(24180,plain,
% 9.28/6.81 (v124(constB175, bitIndex2)),
% 9.28/6.81 inference(unit_resolution,[status(thm)],[24179, 24177])).
% 9.28/6.81 tff(24181,plain,
% 9.28/6.81 ((~(v121(constB175, bitIndex2) <=> v124(constB175, bitIndex2))) | v121(constB175, bitIndex2) | (~v124(constB175, bitIndex2))),
% 9.28/6.81 inference(tautology,[status(thm)],[])).
% 9.28/6.81 tff(24182,plain,
% 9.28/6.81 (v121(constB175, bitIndex2)),
% 9.28/6.81 inference(unit_resolution,[status(thm)],[24181, 24180, 24168])).
% 9.28/6.81 tff(24183,plain,
% 9.28/6.81 ((~(v123(constB176, bitIndex2) <=> v121(constB175, bitIndex2))) | v123(constB176, bitIndex2) | (~v121(constB175, bitIndex2))),
% 9.28/6.81 inference(tautology,[status(thm)],[])).
% 9.28/6.81 tff(24184,plain,
% 9.28/6.81 (v123(constB176, bitIndex2)),
% 9.28/6.81 inference(unit_resolution,[status(thm)],[24183, 24182, 24160])).
% 9.28/6.81 tff(24185,plain,
% 9.28/6.81 ((~(v84(constB176, bitIndex2) <=> v123(constB176, bitIndex2))) | v84(constB176, bitIndex2) | (~v123(constB176, bitIndex2))),
% 9.28/6.81 inference(tautology,[status(thm)],[])).
% 9.28/6.81 tff(24186,plain,
% 9.28/6.81 (v84(constB176, bitIndex2)),
% 9.28/6.81 inference(unit_resolution,[status(thm)],[24185, 24184, 24152])).
% 9.28/6.81 tff(24187,plain,
% 9.28/6.81 ((~(v84(constB177, bitIndex2) <=> v84(constB176, bitIndex2))) | v84(constB177, bitIndex2) | (~v84(constB176, bitIndex2))),
% 9.28/6.81 inference(tautology,[status(thm)],[])).
% 9.28/6.81 tff(24188,plain,
% 9.28/6.81 (v84(constB177, bitIndex2)),
% 9.28/6.81 inference(unit_resolution,[status(thm)],[24187, 24186, 1730])).
% 9.28/6.81 tff(24189,plain,
% 9.28/6.81 (((~![B: $i] : ((~less_3(B)) | (v84(constB177, B) <=> v84(constB176, B)))) | ((~less_3(bitIndex0)) | (v84(constB177, bitIndex0) <=> v84(constB176, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB177, B) <=> v84(constB176, B)))) | (~less_3(bitIndex0)) | (v84(constB177, bitIndex0) <=> v84(constB176, bitIndex0)))),
% 9.28/6.81 inference(rewrite,[status(thm)],[])).
% 9.28/6.81 tff(24190,plain,
% 9.28/6.81 ((~![B: $i] : ((~less_3(B)) | (v84(constB177, B) <=> v84(constB176, B)))) | ((~less_3(bitIndex0)) | (v84(constB177, bitIndex0) <=> v84(constB176, bitIndex0)))),
% 9.28/6.81 inference(quant_inst,[status(thm)],[])).
% 9.28/6.81 tff(24191,plain,
% 9.28/6.81 ((~![B: $i] : ((~less_3(B)) | (v84(constB177, B) <=> v84(constB176, B)))) | (~less_3(bitIndex0)) | (v84(constB177, bitIndex0) <=> v84(constB176, bitIndex0))),
% 9.28/6.81 inference(modus_ponens,[status(thm)],[24190, 24189])).
% 9.28/6.81 tff(24192,plain,
% 9.28/6.81 (v84(constB177, bitIndex0) <=> v84(constB176, bitIndex0)),
% 9.28/6.81 inference(unit_resolution,[status(thm)],[24191, 9772, 1726])).
% 9.28/6.81 tff(24193,plain,
% 9.28/6.81 (((~![B: $i] : ((~less_3(B)) | (v84(constB176, B) <=> v123(constB176, B)))) | ((~less_3(bitIndex0)) | (v84(constB176, bitIndex0) <=> v123(constB176, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB176, B) <=> v123(constB176, B)))) | (~less_3(bitIndex0)) | (v84(constB176, bitIndex0) <=> v123(constB176, bitIndex0)))),
% 9.28/6.81 inference(rewrite,[status(thm)],[])).
% 9.28/6.81 tff(24194,plain,
% 9.28/6.81 ((~![B: $i] : ((~less_3(B)) | (v84(constB176, B) <=> v123(constB176, B)))) | ((~less_3(bitIndex0)) | (v84(constB176, bitIndex0) <=> v123(constB176, bitIndex0)))),
% 9.28/6.81 inference(quant_inst,[status(thm)],[])).
% 9.28/6.81 tff(24195,plain,
% 9.28/6.81 ((~![B: $i] : ((~less_3(B)) | (v84(constB176, B) <=> v123(constB176, B)))) | (~less_3(bitIndex0)) | (v84(constB176, bitIndex0) <=> v123(constB176, bitIndex0))),
% 9.28/6.81 inference(modus_ponens,[status(thm)],[24194, 24193])).
% 9.28/6.81 tff(24196,plain,
% 9.28/6.81 (v84(constB176, bitIndex0) <=> v123(constB176, bitIndex0)),
% 9.28/6.81 inference(unit_resolution,[status(thm)],[24195, 9772, 24148])).
% 9.28/6.81 tff(24197,plain,
% 9.28/6.81 (((~![B: $i] : ((~less_3(B)) | (v123(constB176, B) <=> v121(constB175, B)))) | ((~less_3(bitIndex0)) | (v123(constB176, bitIndex0) <=> v121(constB175, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB176, B) <=> v121(constB175, B)))) | (~less_3(bitIndex0)) | (v123(constB176, bitIndex0) <=> v121(constB175, bitIndex0)))),
% 9.28/6.81 inference(rewrite,[status(thm)],[])).
% 9.28/6.81 tff(24198,plain,
% 9.28/6.81 ((~![B: $i] : ((~less_3(B)) | (v123(constB176, B) <=> v121(constB175, B)))) | ((~less_3(bitIndex0)) | (v123(constB176, bitIndex0) <=> v121(constB175, bitIndex0)))),
% 9.28/6.81 inference(quant_inst,[status(thm)],[])).
% 9.28/6.81 tff(24199,plain,
% 9.28/6.81 ((~![B: $i] : ((~less_3(B)) | (v123(constB176, B) <=> v121(constB175, B)))) | (~less_3(bitIndex0)) | (v123(constB176, bitIndex0) <=> v121(constB175, bitIndex0))),
% 9.28/6.81 inference(modus_ponens,[status(thm)],[24198, 24197])).
% 9.28/6.81 tff(24200,plain,
% 9.28/6.81 (v123(constB176, bitIndex0) <=> v121(constB175, bitIndex0)),
% 9.28/6.81 inference(unit_resolution,[status(thm)],[24199, 9772, 24156])).
% 9.28/6.81 tff(24201,plain,
% 9.28/6.81 (((~![B: $i] : ((~less_3(B)) | (v121(constB175, B) <=> v124(constB175, B)))) | ((~less_3(bitIndex0)) | (v121(constB175, bitIndex0) <=> v124(constB175, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB175, B) <=> v124(constB175, B)))) | (~less_3(bitIndex0)) | (v121(constB175, bitIndex0) <=> v124(constB175, bitIndex0)))),
% 9.28/6.81 inference(rewrite,[status(thm)],[])).
% 9.28/6.81 tff(24202,plain,
% 9.28/6.81 ((~![B: $i] : ((~less_3(B)) | (v121(constB175, B) <=> v124(constB175, B)))) | ((~less_3(bitIndex0)) | (v121(constB175, bitIndex0) <=> v124(constB175, bitIndex0)))),
% 9.28/6.81 inference(quant_inst,[status(thm)],[])).
% 9.28/6.81 tff(24203,plain,
% 9.28/6.81 ((~![B: $i] : ((~less_3(B)) | (v121(constB175, B) <=> v124(constB175, B)))) | (~less_3(bitIndex0)) | (v121(constB175, bitIndex0) <=> v124(constB175, bitIndex0))),
% 9.28/6.81 inference(modus_ponens,[status(thm)],[24202, 24201])).
% 9.28/6.81 tff(24204,plain,
% 9.28/6.81 (v121(constB175, bitIndex0) <=> v124(constB175, bitIndex0)),
% 9.28/6.81 inference(unit_resolution,[status(thm)],[24203, 9772, 24164])).
% 9.28/6.81 tff(24205,plain,
% 9.28/6.81 (((~![B: $i] : ((~less_3(B)) | (v124(constB175, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v124(constB175, bitIndex0) <=> b100(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB175, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v124(constB175, bitIndex0) <=> b100(bitIndex0)))),
% 9.28/6.81 inference(rewrite,[status(thm)],[])).
% 9.28/6.81 tff(24206,plain,
% 9.28/6.81 ((~![B: $i] : ((~less_3(B)) | (v124(constB175, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v124(constB175, bitIndex0) <=> b100(bitIndex0)))),
% 9.28/6.81 inference(quant_inst,[status(thm)],[])).
% 9.28/6.81 tff(24207,plain,
% 9.28/6.81 ((~![B: $i] : ((~less_3(B)) | (v124(constB175, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v124(constB175, bitIndex0) <=> b100(bitIndex0))),
% 9.28/6.81 inference(modus_ponens,[status(thm)],[24206, 24205])).
% 9.28/6.81 tff(24208,plain,
% 9.28/6.81 (v124(constB175, bitIndex0) <=> b100(bitIndex0)),
% 9.28/6.81 inference(unit_resolution,[status(thm)],[24207, 9772, 24173])).
% 9.28/6.81 tff(24209,plain,
% 9.28/6.81 ((~(v124(constB175, bitIndex0) <=> b100(bitIndex0))) | (~v124(constB175, bitIndex0)) | b100(bitIndex0)),
% 9.28/6.81 inference(tautology,[status(thm)],[])).
% 9.28/6.81 tff(24210,plain,
% 9.28/6.81 ((~(v124(constB175, bitIndex0) <=> b100(bitIndex0))) | (~v124(constB175, bitIndex0))),
% 9.28/6.81 inference(unit_resolution,[status(thm)],[24209, 10551])).
% 9.28/6.81 tff(24211,plain,
% 9.28/6.81 (~v124(constB175, bitIndex0)),
% 9.28/6.81 inference(unit_resolution,[status(thm)],[24210, 24208])).
% 9.28/6.81 tff(24212,plain,
% 9.28/6.81 ((~(v121(constB175, bitIndex0) <=> v124(constB175, bitIndex0))) | (~v121(constB175, bitIndex0)) | v124(constB175, bitIndex0)),
% 9.28/6.81 inference(tautology,[status(thm)],[])).
% 9.28/6.81 tff(24213,plain,
% 9.28/6.81 (~v121(constB175, bitIndex0)),
% 9.28/6.81 inference(unit_resolution,[status(thm)],[24212, 24211, 24204])).
% 9.28/6.81 tff(24214,plain,
% 9.28/6.81 ((~(v123(constB176, bitIndex0) <=> v121(constB175, bitIndex0))) | (~v123(constB176, bitIndex0)) | v121(constB175, bitIndex0)),
% 9.28/6.81 inference(tautology,[status(thm)],[])).
% 9.28/6.81 tff(24215,plain,
% 9.28/6.81 (~v123(constB176, bitIndex0)),
% 9.28/6.81 inference(unit_resolution,[status(thm)],[24214, 24213, 24200])).
% 9.28/6.81 tff(24216,plain,
% 9.28/6.81 ((~(v84(constB176, bitIndex0) <=> v123(constB176, bitIndex0))) | (~v84(constB176, bitIndex0)) | v123(constB176, bitIndex0)),
% 9.28/6.81 inference(tautology,[status(thm)],[])).
% 9.28/6.81 tff(24217,plain,
% 9.28/6.81 (~v84(constB176, bitIndex0)),
% 9.28/6.81 inference(unit_resolution,[status(thm)],[24216, 24215, 24196])).
% 9.28/6.81 tff(24218,plain,
% 9.28/6.81 ((~(v84(constB177, bitIndex0) <=> v84(constB176, bitIndex0))) | (~v84(constB177, bitIndex0)) | v84(constB176, bitIndex0)),
% 9.28/6.81 inference(tautology,[status(thm)],[])).
% 9.28/6.81 tff(24219,plain,
% 9.28/6.81 (~v84(constB177, bitIndex0)),
% 9.28/6.81 inference(unit_resolution,[status(thm)],[24218, 24217, 24192])).
% 9.28/6.81 tff(24220,plain,
% 9.28/6.81 (((~![B: $i] : ((~less_3(B)) | (v84(constB177, B) <=> v84(constB176, B)))) | ((~less_3(bitIndex1)) | (v84(constB177, bitIndex1) <=> v84(constB176, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB177, B) <=> v84(constB176, B)))) | (~less_3(bitIndex1)) | (v84(constB177, bitIndex1) <=> v84(constB176, bitIndex1)))),
% 9.28/6.81 inference(rewrite,[status(thm)],[])).
% 9.28/6.81 tff(24221,plain,
% 9.28/6.81 ((~![B: $i] : ((~less_3(B)) | (v84(constB177, B) <=> v84(constB176, B)))) | ((~less_3(bitIndex1)) | (v84(constB177, bitIndex1) <=> v84(constB176, bitIndex1)))),
% 9.28/6.81 inference(quant_inst,[status(thm)],[])).
% 9.28/6.81 tff(24222,plain,
% 9.28/6.81 ((~![B: $i] : ((~less_3(B)) | (v84(constB177, B) <=> v84(constB176, B)))) | (~less_3(bitIndex1)) | (v84(constB177, bitIndex1) <=> v84(constB176, bitIndex1))),
% 9.28/6.81 inference(modus_ponens,[status(thm)],[24221, 24220])).
% 9.28/6.81 tff(24223,plain,
% 9.28/6.81 (v84(constB177, bitIndex1) <=> v84(constB176, bitIndex1)),
% 9.28/6.81 inference(unit_resolution,[status(thm)],[24222, 9785, 1726])).
% 9.28/6.81 tff(24224,plain,
% 9.28/6.81 (((~![B: $i] : ((~less_3(B)) | (v84(constB176, B) <=> v123(constB176, B)))) | ((~less_3(bitIndex1)) | (v84(constB176, bitIndex1) <=> v123(constB176, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB176, B) <=> v123(constB176, B)))) | (~less_3(bitIndex1)) | (v84(constB176, bitIndex1) <=> v123(constB176, bitIndex1)))),
% 9.28/6.81 inference(rewrite,[status(thm)],[])).
% 9.28/6.81 tff(24225,plain,
% 9.28/6.81 ((~![B: $i] : ((~less_3(B)) | (v84(constB176, B) <=> v123(constB176, B)))) | ((~less_3(bitIndex1)) | (v84(constB176, bitIndex1) <=> v123(constB176, bitIndex1)))),
% 9.28/6.81 inference(quant_inst,[status(thm)],[])).
% 9.28/6.81 tff(24226,plain,
% 9.28/6.81 ((~![B: $i] : ((~less_3(B)) | (v84(constB176, B) <=> v123(constB176, B)))) | (~less_3(bitIndex1)) | (v84(constB176, bitIndex1) <=> v123(constB176, bitIndex1))),
% 9.28/6.81 inference(modus_ponens,[status(thm)],[24225, 24224])).
% 9.28/6.81 tff(24227,plain,
% 9.28/6.81 (v84(constB176, bitIndex1) <=> v123(constB176, bitIndex1)),
% 9.28/6.81 inference(unit_resolution,[status(thm)],[24226, 9785, 24148])).
% 9.28/6.81 tff(24228,plain,
% 9.28/6.81 (((~![B: $i] : ((~less_3(B)) | (v123(constB176, B) <=> v121(constB175, B)))) | ((~less_3(bitIndex1)) | (v123(constB176, bitIndex1) <=> v121(constB175, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB176, B) <=> v121(constB175, B)))) | (~less_3(bitIndex1)) | (v123(constB176, bitIndex1) <=> v121(constB175, bitIndex1)))),
% 9.28/6.81 inference(rewrite,[status(thm)],[])).
% 9.28/6.81 tff(24229,plain,
% 9.28/6.81 ((~![B: $i] : ((~less_3(B)) | (v123(constB176, B) <=> v121(constB175, B)))) | ((~less_3(bitIndex1)) | (v123(constB176, bitIndex1) <=> v121(constB175, bitIndex1)))),
% 9.28/6.81 inference(quant_inst,[status(thm)],[])).
% 9.28/6.81 tff(24230,plain,
% 9.28/6.81 ((~![B: $i] : ((~less_3(B)) | (v123(constB176, B) <=> v121(constB175, B)))) | (~less_3(bitIndex1)) | (v123(constB176, bitIndex1) <=> v121(constB175, bitIndex1))),
% 9.28/6.81 inference(modus_ponens,[status(thm)],[24229, 24228])).
% 9.28/6.81 tff(24231,plain,
% 9.28/6.81 (v123(constB176, bitIndex1) <=> v121(constB175, bitIndex1)),
% 9.28/6.81 inference(unit_resolution,[status(thm)],[24230, 9785, 24156])).
% 9.28/6.81 tff(24232,plain,
% 9.28/6.81 (((~![B: $i] : ((~less_3(B)) | (v121(constB175, B) <=> v124(constB175, B)))) | ((~less_3(bitIndex1)) | (v121(constB175, bitIndex1) <=> v124(constB175, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB175, B) <=> v124(constB175, B)))) | (~less_3(bitIndex1)) | (v121(constB175, bitIndex1) <=> v124(constB175, bitIndex1)))),
% 9.28/6.81 inference(rewrite,[status(thm)],[])).
% 9.28/6.81 tff(24233,plain,
% 9.28/6.81 ((~![B: $i] : ((~less_3(B)) | (v121(constB175, B) <=> v124(constB175, B)))) | ((~less_3(bitIndex1)) | (v121(constB175, bitIndex1) <=> v124(constB175, bitIndex1)))),
% 9.28/6.81 inference(quant_inst,[status(thm)],[])).
% 9.28/6.81 tff(24234,plain,
% 9.28/6.81 ((~![B: $i] : ((~less_3(B)) | (v121(constB175, B) <=> v124(constB175, B)))) | (~less_3(bitIndex1)) | (v121(constB175, bitIndex1) <=> v124(constB175, bitIndex1))),
% 9.28/6.81 inference(modus_ponens,[status(thm)],[24233, 24232])).
% 9.28/6.81 tff(24235,plain,
% 9.28/6.81 (v121(constB175, bitIndex1) <=> v124(constB175, bitIndex1)),
% 9.28/6.81 inference(unit_resolution,[status(thm)],[24234, 9785, 24164])).
% 9.28/6.81 tff(24236,plain,
% 9.28/6.81 (((~![B: $i] : ((~less_3(B)) | (v124(constB175, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v124(constB175, bitIndex1) <=> b100(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB175, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v124(constB175, bitIndex1) <=> b100(bitIndex1)))),
% 9.28/6.81 inference(rewrite,[status(thm)],[])).
% 9.28/6.81 tff(24237,plain,
% 9.28/6.81 ((~![B: $i] : ((~less_3(B)) | (v124(constB175, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v124(constB175, bitIndex1) <=> b100(bitIndex1)))),
% 9.28/6.81 inference(quant_inst,[status(thm)],[])).
% 9.28/6.81 tff(24238,plain,
% 9.28/6.81 ((~![B: $i] : ((~less_3(B)) | (v124(constB175, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v124(constB175, bitIndex1) <=> b100(bitIndex1))),
% 9.28/6.81 inference(modus_ponens,[status(thm)],[24237, 24236])).
% 9.28/6.81 tff(24239,plain,
% 9.28/6.81 (v124(constB175, bitIndex1) <=> b100(bitIndex1)),
% 9.28/6.81 inference(unit_resolution,[status(thm)],[24238, 9785, 24173])).
% 9.28/6.81 tff(24240,plain,
% 9.28/6.81 ((~(v124(constB175, bitIndex1) <=> b100(bitIndex1))) | (~v124(constB175, bitIndex1)) | b100(bitIndex1)),
% 9.28/6.81 inference(tautology,[status(thm)],[])).
% 9.28/6.81 tff(24241,plain,
% 9.28/6.81 ((~(v124(constB175, bitIndex1) <=> b100(bitIndex1))) | (~v124(constB175, bitIndex1))),
% 9.28/6.81 inference(unit_resolution,[status(thm)],[24240, 10585])).
% 9.28/6.81 tff(24242,plain,
% 9.28/6.81 (~v124(constB175, bitIndex1)),
% 9.28/6.81 inference(unit_resolution,[status(thm)],[24241, 24239])).
% 9.28/6.81 tff(24243,plain,
% 9.28/6.81 ((~(v121(constB175, bitIndex1) <=> v124(constB175, bitIndex1))) | (~v121(constB175, bitIndex1)) | v124(constB175, bitIndex1)),
% 9.28/6.81 inference(tautology,[status(thm)],[])).
% 9.28/6.81 tff(24244,plain,
% 9.28/6.81 (~v121(constB175, bitIndex1)),
% 9.28/6.81 inference(unit_resolution,[status(thm)],[24243, 24242, 24235])).
% 9.28/6.81 tff(24245,plain,
% 9.28/6.81 ((~(v123(constB176, bitIndex1) <=> v121(constB175, bitIndex1))) | (~v123(constB176, bitIndex1)) | v121(constB175, bitIndex1)),
% 9.28/6.81 inference(tautology,[status(thm)],[])).
% 9.28/6.81 tff(24246,plain,
% 9.28/6.81 (~v123(constB176, bitIndex1)),
% 9.28/6.81 inference(unit_resolution,[status(thm)],[24245, 24244, 24231])).
% 9.28/6.81 tff(24247,plain,
% 9.28/6.81 ((~(v84(constB176, bitIndex1) <=> v123(constB176, bitIndex1))) | (~v84(constB176, bitIndex1)) | v123(constB176, bitIndex1)),
% 9.28/6.81 inference(tautology,[status(thm)],[])).
% 9.28/6.81 tff(24248,plain,
% 9.28/6.81 (~v84(constB176, bitIndex1)),
% 9.28/6.81 inference(unit_resolution,[status(thm)],[24247, 24246, 24227])).
% 9.28/6.81 tff(24249,plain,
% 9.28/6.81 ((~(v84(constB177, bitIndex1) <=> v84(constB176, bitIndex1))) | (~v84(constB177, bitIndex1)) | v84(constB176, bitIndex1)),
% 9.28/6.81 inference(tautology,[status(thm)],[])).
% 9.28/6.81 tff(24250,plain,
% 9.28/6.81 (~v84(constB177, bitIndex1)),
% 9.28/6.81 inference(unit_resolution,[status(thm)],[24249, 24248, 24223])).
% 9.28/6.81 tff(24251,plain,
% 9.28/6.81 ((~((~v84(constB177, bitIndex2)) | v84(constB177, bitIndex1) | v84(constB177, bitIndex0))) | (~v84(constB177, bitIndex2)) | v84(constB177, bitIndex1) | v84(constB177, bitIndex0)),
% 9.28/6.81 inference(tautology,[status(thm)],[])).
% 9.28/6.81 tff(24252,plain,
% 9.28/6.81 (~((~v84(constB177, bitIndex2)) | v84(constB177, bitIndex1) | v84(constB177, bitIndex0))),
% 9.28/6.81 inference(unit_resolution,[status(thm)],[24251, 24250, 24219, 24188])).
% 9.28/6.81 tff(24253,plain,
% 9.28/6.81 ((~(v117(constB177) <=> (~((~v84(constB177, bitIndex2)) | v84(constB177, bitIndex1) | v84(constB177, bitIndex0))))) | v117(constB177) | ((~v84(constB177, bitIndex2)) | v84(constB177, bitIndex1) | v84(constB177, bitIndex0))),
% 9.28/6.81 inference(tautology,[status(thm)],[])).
% 9.28/6.81 tff(24254,plain,
% 9.28/6.81 (v117(constB177)),
% 9.28/6.81 inference(unit_resolution,[status(thm)],[24253, 24252, 1698])).
% 9.28/6.81 tff(24255,plain,
% 9.28/6.81 ((v110(constB177) | v117(constB177)) | (~v117(constB177))),
% 9.28/6.81 inference(tautology,[status(thm)],[])).
% 9.28/6.81 tff(24256,plain,
% 9.28/6.81 (v110(constB177) | v117(constB177)),
% 9.28/6.81 inference(unit_resolution,[status(thm)],[24255, 24254])).
% 9.28/6.81 tff(24257,plain,
% 9.28/6.81 ((~(v109(constB177) <=> (v110(constB177) | v117(constB177)))) | v109(constB177) | (~(v110(constB177) | v117(constB177)))),
% 9.28/6.81 inference(tautology,[status(thm)],[])).
% 9.28/6.81 tff(24258,plain,
% 9.28/6.81 (v109(constB177)),
% 9.28/6.81 inference(unit_resolution,[status(thm)],[24257, 24256, 1691])).
% 9.28/6.81 tff(24259,plain,
% 9.28/6.81 ((v109(constB177) | v118(constB177)) | (~v109(constB177))),
% 9.28/6.81 inference(tautology,[status(thm)],[])).
% 9.28/6.81 tff(24260,plain,
% 9.28/6.81 (v109(constB177) | v118(constB177)),
% 9.28/6.81 inference(unit_resolution,[status(thm)],[24259, 24258])).
% 9.28/6.81 tff(24261,plain,
% 9.28/6.81 ((~(v108(constB177) <=> (v109(constB177) | v118(constB177)))) | v108(constB177) | (~(v109(constB177) | v118(constB177)))),
% 9.28/6.81 inference(tautology,[status(thm)],[])).
% 9.28/6.81 tff(24262,plain,
% 9.28/6.81 (v108(constB177)),
% 9.28/6.81 inference(unit_resolution,[status(thm)],[24261, 24260, 1689])).
% 9.28/6.81 tff(24263,plain,
% 9.28/6.81 ((v108(constB177) | v119(constB177)) | (~v108(constB177))),
% 9.28/6.81 inference(tautology,[status(thm)],[])).
% 9.28/6.81 tff(24264,plain,
% 9.28/6.81 (v108(constB177) | v119(constB177)),
% 9.28/6.81 inference(unit_resolution,[status(thm)],[24263, 24262])).
% 9.28/6.81 tff(24265,plain,
% 9.28/6.81 ((~(v107(constB177) <=> (v108(constB177) | v119(constB177)))) | v107(constB177) | (~(v108(constB177) | v119(constB177)))),
% 9.28/6.81 inference(tautology,[status(thm)],[])).
% 9.28/6.81 tff(24266,plain,
% 9.28/6.81 (v107(constB177)),
% 9.28/6.81 inference(unit_resolution,[status(thm)],[24265, 24264, 1687])).
% 9.28/6.81 tff(24267,plain,
% 9.28/6.81 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB177)) <=> v105(constB177))),
% 9.28/6.81 inference(quant_inst,[status(thm)],[])).
% 9.28/6.81 tff(24268,plain,
% 9.28/6.81 ((~v120(constB177)) <=> v105(constB177)),
% 9.28/6.81 inference(unit_resolution,[status(thm)],[24267, 9842])).
% 9.28/6.81 tff(24269,plain,
% 9.28/6.81 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB177) <=> v26(constB177))),
% 9.28/6.81 inference(quant_inst,[status(thm)],[])).
% 9.28/6.81 tff(24270,plain,
% 9.28/6.81 (v105(constB177) <=> v26(constB177)),
% 9.28/6.81 inference(unit_resolution,[status(thm)],[24269, 9854])).
% 9.28/6.81 tff(24271,plain,
% 9.28/6.81 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB177))),
% 9.28/6.81 inference(quant_inst,[status(thm)],[])).
% 9.28/6.81 tff(24272,plain,
% 9.28/6.81 (~v26(constB177)),
% 9.28/6.81 inference(unit_resolution,[status(thm)],[24271, 9866])).
% 9.28/6.81 tff(24273,plain,
% 9.28/6.81 ((~(v105(constB177) <=> v26(constB177))) | (~v105(constB177)) | v26(constB177)),
% 9.28/6.81 inference(tautology,[status(thm)],[])).
% 9.28/6.81 tff(24274,plain,
% 9.28/6.81 ((~(v105(constB177) <=> v26(constB177))) | (~v105(constB177))),
% 9.28/6.81 inference(unit_resolution,[status(thm)],[24273, 24272])).
% 9.28/6.81 tff(24275,plain,
% 9.28/6.81 (~v105(constB177)),
% 9.28/6.81 inference(unit_resolution,[status(thm)],[24274, 24270])).
% 9.28/6.81 tff(24276,plain,
% 9.28/6.81 ((~((~v120(constB177)) <=> v105(constB177))) | v120(constB177) | v105(constB177)),
% 9.28/6.81 inference(tautology,[status(thm)],[])).
% 9.28/6.81 tff(24277,plain,
% 9.28/6.81 ((~((~v120(constB177)) <=> v105(constB177))) | v120(constB177)),
% 9.28/6.81 inference(unit_resolution,[status(thm)],[24276, 24275])).
% 9.28/6.81 tff(24278,plain,
% 9.28/6.81 (v120(constB177)),
% 9.28/6.81 inference(unit_resolution,[status(thm)],[24277, 24268])).
% 9.28/6.81 tff(24279,plain,
% 9.28/6.81 ((~((~v107(constB177)) | (~v120(constB177)))) | (~v107(constB177)) | (~v120(constB177))),
% 9.28/6.81 inference(tautology,[status(thm)],[])).
% 9.28/6.81 tff(24280,plain,
% 9.28/6.81 ((~((~v107(constB177)) | (~v120(constB177)))) | (~v107(constB177))),
% 9.28/6.81 inference(unit_resolution,[status(thm)],[24279, 24278])).
% 9.28/6.81 tff(24281,plain,
% 9.28/6.81 (~((~v107(constB177)) | (~v120(constB177)))),
% 9.28/6.81 inference(unit_resolution,[status(thm)],[24280, 24266])).
% 9.28/6.81 tff(24282,plain,
% 9.28/6.81 ((~(v106(constB177) <=> (~((~v107(constB177)) | (~v120(constB177)))))) | v106(constB177) | ((~v107(constB177)) | (~v120(constB177)))),
% 9.28/6.81 inference(tautology,[status(thm)],[])).
% 9.28/6.81 tff(24283,plain,
% 9.28/6.81 (v106(constB177)),
% 9.28/6.81 inference(unit_resolution,[status(thm)],[24282, 24281, 1685])).
% 9.28/6.81 tff(24284,plain,
% 9.28/6.81 ((v105(constB177) | v106(constB177)) | (~v106(constB177))),
% 9.28/6.81 inference(tautology,[status(thm)],[])).
% 9.28/6.81 tff(24285,plain,
% 9.28/6.81 (v105(constB177) | v106(constB177)),
% 9.28/6.81 inference(unit_resolution,[status(thm)],[24284, 24283])).
% 9.28/6.81 tff(24286,plain,
% 9.28/6.81 ((~(v102(constB177) <=> (v105(constB177) | v106(constB177)))) | v102(constB177) | (~(v105(constB177) | v106(constB177)))),
% 9.28/6.81 inference(tautology,[status(thm)],[])).
% 9.28/6.81 tff(24287,plain,
% 9.28/6.81 (v102(constB177)),
% 9.28/6.81 inference(unit_resolution,[status(thm)],[24286, 24285, 1683])).
% 9.28/6.81 tff(24288,plain,
% 9.28/6.81 ((~(v104(constB178) <=> v102(constB177))) | v104(constB178) | (~v102(constB177))),
% 9.28/6.81 inference(tautology,[status(thm)],[])).
% 9.28/6.81 tff(24289,plain,
% 9.28/6.81 (v104(constB178)),
% 9.28/6.81 inference(unit_resolution,[status(thm)],[24288, 24287, 1681])).
% 9.28/6.81 tff(24290,plain,
% 9.28/6.81 ((~((~v104(constB178)) | (~v95(constB178)))) | (~v104(constB178)) | (~v95(constB178))),
% 9.28/6.81 inference(tautology,[status(thm)],[])).
% 9.28/6.81 tff(24291,plain,
% 9.28/6.81 (~((~v104(constB178)) | (~v95(constB178)))),
% 9.28/6.81 inference(unit_resolution,[status(thm)],[24290, 24289, 1677])).
% 9.28/6.81 tff(24292,plain,
% 9.28/6.81 ((~(v94(constB178) <=> (~((~v104(constB178)) | (~v95(constB178)))))) | v94(constB178) | ((~v104(constB178)) | (~v95(constB178)))),
% 9.28/6.81 inference(tautology,[status(thm)],[])).
% 9.28/6.81 tff(24293,plain,
% 9.28/6.81 (v94(constB178)),
% 9.28/6.81 inference(unit_resolution,[status(thm)],[24292, 24291, 1646])).
% 9.28/6.81 tff(24294,plain,
% 9.28/6.81 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB178)) | ![B: $i] : ((~less_3(B)) | (v84(constB178, B) <=> v123(constB178, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB178)) | ![B: $i] : ((~less_3(B)) | (v84(constB178, B) <=> v123(constB178, B))))),
% 9.28/6.81 inference(rewrite,[status(thm)],[])).
% 9.28/6.81 tff(24295,plain,
% 9.28/6.81 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB178)) | ![B: $i] : ((~less_3(B)) | (v84(constB178, B) <=> v123(constB178, B))))),
% 9.28/6.81 inference(quant_inst,[status(thm)],[])).
% 9.28/6.81 tff(24296,plain,
% 9.28/6.81 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB178)) | ![B: $i] : ((~less_3(B)) | (v84(constB178, B) <=> v123(constB178, B)))),
% 9.28/6.81 inference(modus_ponens,[status(thm)],[24295, 24294])).
% 9.28/6.81 tff(24297,plain,
% 9.28/6.81 ((~v94(constB178)) | ![B: $i] : ((~less_3(B)) | (v84(constB178, B) <=> v123(constB178, B)))),
% 9.28/6.81 inference(unit_resolution,[status(thm)],[24296, 9902])).
% 9.28/6.81 tff(24298,plain,
% 9.28/6.81 (![B: $i] : ((~less_3(B)) | (v84(constB178, B) <=> v123(constB178, B)))),
% 9.28/6.81 inference(unit_resolution,[status(thm)],[24297, 24293])).
% 9.28/6.81 tff(24299,plain,
% 9.28/6.81 (((~![B: $i] : ((~less_3(B)) | (v84(constB178, B) <=> v123(constB178, B)))) | ((~less_3(bitIndex2)) | (v84(constB178, bitIndex2) <=> v123(constB178, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB178, B) <=> v123(constB178, B)))) | (~less_3(bitIndex2)) | (v84(constB178, bitIndex2) <=> v123(constB178, bitIndex2)))),
% 9.28/6.81 inference(rewrite,[status(thm)],[])).
% 9.28/6.81 tff(24300,plain,
% 9.28/6.81 ((~![B: $i] : ((~less_3(B)) | (v84(constB178, B) <=> v123(constB178, B)))) | ((~less_3(bitIndex2)) | (v84(constB178, bitIndex2) <=> v123(constB178, bitIndex2)))),
% 9.28/6.81 inference(quant_inst,[status(thm)],[])).
% 9.28/6.81 tff(24301,plain,
% 9.28/6.81 ((~![B: $i] : ((~less_3(B)) | (v84(constB178, B) <=> v123(constB178, B)))) | (~less_3(bitIndex2)) | (v84(constB178, bitIndex2) <=> v123(constB178, bitIndex2))),
% 9.28/6.81 inference(modus_ponens,[status(thm)],[24300, 24299])).
% 9.28/6.81 tff(24302,plain,
% 9.28/6.81 (v84(constB178, bitIndex2) <=> v123(constB178, bitIndex2)),
% 9.28/6.81 inference(unit_resolution,[status(thm)],[24301, 832, 24298])).
% 9.28/6.81 tff(24303,plain,
% 9.28/6.81 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB177, constB178)) | ![B: $i] : ((~less_3(B)) | (v123(constB178, B) <=> v121(constB177, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB177, constB178)) | ![B: $i] : ((~less_3(B)) | (v123(constB178, B) <=> v121(constB177, B))))),
% 9.28/6.81 inference(rewrite,[status(thm)],[])).
% 9.28/6.81 tff(24304,plain,
% 9.28/6.81 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB177, constB178)) | ![B: $i] : ((~less_3(B)) | (v123(constB178, B) <=> v121(constB177, B))))),
% 9.28/6.81 inference(quant_inst,[status(thm)],[])).
% 9.28/6.81 tff(24305,plain,
% 9.28/6.81 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB177, constB178)) | ![B: $i] : ((~less_3(B)) | (v123(constB178, B) <=> v121(constB177, B)))),
% 9.28/6.81 inference(modus_ponens,[status(thm)],[24304, 24303])).
% 9.28/6.81 tff(24306,plain,
% 9.28/6.81 (![B: $i] : ((~less_3(B)) | (v123(constB178, B) <=> v121(constB177, B)))),
% 9.28/6.81 inference(unit_resolution,[status(thm)],[24305, 1642, 9924])).
% 9.28/6.81 tff(24307,plain,
% 9.28/6.81 (((~![B: $i] : ((~less_3(B)) | (v123(constB178, B) <=> v121(constB177, B)))) | ((~less_3(bitIndex2)) | (v123(constB178, bitIndex2) <=> v121(constB177, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB178, B) <=> v121(constB177, B)))) | (~less_3(bitIndex2)) | (v123(constB178, bitIndex2) <=> v121(constB177, bitIndex2)))),
% 9.28/6.81 inference(rewrite,[status(thm)],[])).
% 9.28/6.81 tff(24308,plain,
% 9.28/6.81 ((~![B: $i] : ((~less_3(B)) | (v123(constB178, B) <=> v121(constB177, B)))) | ((~less_3(bitIndex2)) | (v123(constB178, bitIndex2) <=> v121(constB177, bitIndex2)))),
% 9.28/6.81 inference(quant_inst,[status(thm)],[])).
% 9.28/6.81 tff(24309,plain,
% 9.28/6.81 ((~![B: $i] : ((~less_3(B)) | (v123(constB178, B) <=> v121(constB177, B)))) | (~less_3(bitIndex2)) | (v123(constB178, bitIndex2) <=> v121(constB177, bitIndex2))),
% 9.28/6.81 inference(modus_ponens,[status(thm)],[24308, 24307])).
% 9.28/6.81 tff(24310,plain,
% 9.28/6.81 (v123(constB178, bitIndex2) <=> v121(constB177, bitIndex2)),
% 9.28/6.81 inference(unit_resolution,[status(thm)],[24309, 832, 24306])).
% 9.28/6.81 tff(24311,plain,
% 9.28/6.81 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB177) | ![B: $i] : ((~less_3(B)) | (v121(constB177, B) <=> v124(constB177, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB177) | ![B: $i] : ((~less_3(B)) | (v121(constB177, B) <=> v124(constB177, B))))),
% 9.28/6.82 inference(rewrite,[status(thm)],[])).
% 9.28/6.82 tff(24312,plain,
% 9.28/6.82 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB177) | ![B: $i] : ((~less_3(B)) | (v121(constB177, B) <=> v124(constB177, B))))),
% 9.28/6.82 inference(quant_inst,[status(thm)],[])).
% 9.28/6.82 tff(24313,plain,
% 9.28/6.82 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB177) | ![B: $i] : ((~less_3(B)) | (v121(constB177, B) <=> v124(constB177, B)))),
% 9.28/6.82 inference(modus_ponens,[status(thm)],[24312, 24311])).
% 9.28/6.82 tff(24314,plain,
% 9.28/6.82 (![B: $i] : ((~less_3(B)) | (v121(constB177, B) <=> v124(constB177, B)))),
% 9.28/6.82 inference(unit_resolution,[status(thm)],[24313, 9945, 24275])).
% 9.28/6.82 tff(24315,plain,
% 9.28/6.82 (((~![B: $i] : ((~less_3(B)) | (v121(constB177, B) <=> v124(constB177, B)))) | ((~less_3(bitIndex2)) | (v121(constB177, bitIndex2) <=> v124(constB177, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB177, B) <=> v124(constB177, B)))) | (~less_3(bitIndex2)) | (v121(constB177, bitIndex2) <=> v124(constB177, bitIndex2)))),
% 9.28/6.82 inference(rewrite,[status(thm)],[])).
% 9.28/6.82 tff(24316,plain,
% 9.28/6.82 ((~![B: $i] : ((~less_3(B)) | (v121(constB177, B) <=> v124(constB177, B)))) | ((~less_3(bitIndex2)) | (v121(constB177, bitIndex2) <=> v124(constB177, bitIndex2)))),
% 9.28/6.82 inference(quant_inst,[status(thm)],[])).
% 9.28/6.82 tff(24317,plain,
% 9.28/6.82 ((~![B: $i] : ((~less_3(B)) | (v121(constB177, B) <=> v124(constB177, B)))) | (~less_3(bitIndex2)) | (v121(constB177, bitIndex2) <=> v124(constB177, bitIndex2))),
% 9.28/6.82 inference(modus_ponens,[status(thm)],[24316, 24315])).
% 9.28/6.82 tff(24318,plain,
% 9.28/6.82 (v121(constB177, bitIndex2) <=> v124(constB177, bitIndex2)),
% 9.28/6.82 inference(unit_resolution,[status(thm)],[24317, 832, 24314])).
% 9.28/6.82 tff(24319,plain,
% 9.28/6.82 (((~![VarCurr: $i] : ((~v117(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b101(B))))) | ((~v117(constB177)) | ![B: $i] : ((~less_3(B)) | (v124(constB177, B) <=> b101(B))))) <=> ((~![VarCurr: $i] : ((~v117(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b101(B))))) | (~v117(constB177)) | ![B: $i] : ((~less_3(B)) | (v124(constB177, B) <=> b101(B))))),
% 9.28/6.82 inference(rewrite,[status(thm)],[])).
% 9.28/6.82 tff(24320,plain,
% 9.28/6.82 ((~![VarCurr: $i] : ((~v117(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b101(B))))) | ((~v117(constB177)) | ![B: $i] : ((~less_3(B)) | (v124(constB177, B) <=> b101(B))))),
% 9.28/6.82 inference(quant_inst,[status(thm)],[])).
% 9.28/6.82 tff(24321,plain,
% 9.28/6.82 ((~![VarCurr: $i] : ((~v117(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b101(B))))) | (~v117(constB177)) | ![B: $i] : ((~less_3(B)) | (v124(constB177, B) <=> b101(B)))),
% 9.28/6.82 inference(modus_ponens,[status(thm)],[24320, 24319])).
% 9.28/6.82 tff(24322,plain,
% 9.28/6.82 ((~v117(constB177)) | ![B: $i] : ((~less_3(B)) | (v124(constB177, B) <=> b101(B)))),
% 9.28/6.82 inference(unit_resolution,[status(thm)],[24321, 10677])).
% 9.28/6.82 tff(24323,plain,
% 9.28/6.82 (![B: $i] : ((~less_3(B)) | (v124(constB177, B) <=> b101(B)))),
% 9.28/6.82 inference(unit_resolution,[status(thm)],[24322, 24254])).
% 9.28/6.82 tff(24324,plain,
% 9.28/6.82 (((~![B: $i] : ((~less_3(B)) | (v124(constB177, B) <=> b101(B)))) | ((~less_3(bitIndex2)) | (v124(constB177, bitIndex2) <=> b101(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB177, B) <=> b101(B)))) | (~less_3(bitIndex2)) | (v124(constB177, bitIndex2) <=> b101(bitIndex2)))),
% 9.28/6.82 inference(rewrite,[status(thm)],[])).
% 9.28/6.82 tff(24325,plain,
% 9.28/6.82 ((~![B: $i] : ((~less_3(B)) | (v124(constB177, B) <=> b101(B)))) | ((~less_3(bitIndex2)) | (v124(constB177, bitIndex2) <=> b101(bitIndex2)))),
% 9.28/6.82 inference(quant_inst,[status(thm)],[])).
% 9.28/6.82 tff(24326,plain,
% 9.28/6.82 ((~![B: $i] : ((~less_3(B)) | (v124(constB177, B) <=> b101(B)))) | (~less_3(bitIndex2)) | (v124(constB177, bitIndex2) <=> b101(bitIndex2))),
% 9.28/6.82 inference(modus_ponens,[status(thm)],[24325, 24324])).
% 9.28/6.82 tff(24327,plain,
% 9.28/6.82 (v124(constB177, bitIndex2) <=> b101(bitIndex2)),
% 9.28/6.82 inference(unit_resolution,[status(thm)],[24326, 832, 24323])).
% 9.28/6.82 tff(24328,plain,
% 9.28/6.82 ((~(v124(constB177, bitIndex2) <=> b101(bitIndex2))) | v124(constB177, bitIndex2) | (~b101(bitIndex2))),
% 9.28/6.82 inference(tautology,[status(thm)],[])).
% 9.28/6.82 tff(24329,plain,
% 9.28/6.82 ((~(v124(constB177, bitIndex2) <=> b101(bitIndex2))) | v124(constB177, bitIndex2)),
% 9.28/6.82 inference(unit_resolution,[status(thm)],[24328, 10689])).
% 9.28/6.82 tff(24330,plain,
% 9.28/6.82 (v124(constB177, bitIndex2)),
% 9.28/6.82 inference(unit_resolution,[status(thm)],[24329, 24327])).
% 9.28/6.82 tff(24331,plain,
% 9.28/6.82 ((~(v121(constB177, bitIndex2) <=> v124(constB177, bitIndex2))) | v121(constB177, bitIndex2) | (~v124(constB177, bitIndex2))),
% 9.28/6.82 inference(tautology,[status(thm)],[])).
% 9.28/6.82 tff(24332,plain,
% 9.28/6.82 (v121(constB177, bitIndex2)),
% 9.28/6.82 inference(unit_resolution,[status(thm)],[24331, 24330, 24318])).
% 9.28/6.82 tff(24333,plain,
% 9.28/6.82 ((~(v123(constB178, bitIndex2) <=> v121(constB177, bitIndex2))) | v123(constB178, bitIndex2) | (~v121(constB177, bitIndex2))),
% 9.28/6.82 inference(tautology,[status(thm)],[])).
% 9.28/6.82 tff(24334,plain,
% 9.28/6.82 (v123(constB178, bitIndex2)),
% 9.28/6.82 inference(unit_resolution,[status(thm)],[24333, 24332, 24310])).
% 9.28/6.82 tff(24335,plain,
% 9.28/6.82 ((~(v84(constB178, bitIndex2) <=> v123(constB178, bitIndex2))) | v84(constB178, bitIndex2) | (~v123(constB178, bitIndex2))),
% 9.28/6.82 inference(tautology,[status(thm)],[])).
% 9.28/6.82 tff(24336,plain,
% 9.28/6.82 (v84(constB178, bitIndex2)),
% 9.28/6.82 inference(unit_resolution,[status(thm)],[24335, 24334, 24302])).
% 9.28/6.82 tff(24337,plain,
% 9.28/6.82 ((~(v84(constB179, bitIndex2) <=> v84(constB178, bitIndex2))) | v84(constB179, bitIndex2) | (~v84(constB178, bitIndex2))),
% 9.28/6.82 inference(tautology,[status(thm)],[])).
% 9.28/6.82 tff(24338,plain,
% 9.28/6.82 (v84(constB179, bitIndex2)),
% 9.28/6.82 inference(unit_resolution,[status(thm)],[24337, 24336, 1639])).
% 9.28/6.82 tff(24339,plain,
% 9.28/6.82 (((~![B: $i] : ((~less_3(B)) | (v84(constB179, B) <=> v84(constB178, B)))) | ((~less_3(bitIndex0)) | (v84(constB179, bitIndex0) <=> v84(constB178, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB179, B) <=> v84(constB178, B)))) | (~less_3(bitIndex0)) | (v84(constB179, bitIndex0) <=> v84(constB178, bitIndex0)))),
% 9.28/6.82 inference(rewrite,[status(thm)],[])).
% 9.28/6.82 tff(24340,plain,
% 9.28/6.82 ((~![B: $i] : ((~less_3(B)) | (v84(constB179, B) <=> v84(constB178, B)))) | ((~less_3(bitIndex0)) | (v84(constB179, bitIndex0) <=> v84(constB178, bitIndex0)))),
% 9.28/6.82 inference(quant_inst,[status(thm)],[])).
% 9.28/6.82 tff(24341,plain,
% 9.28/6.82 ((~![B: $i] : ((~less_3(B)) | (v84(constB179, B) <=> v84(constB178, B)))) | (~less_3(bitIndex0)) | (v84(constB179, bitIndex0) <=> v84(constB178, bitIndex0))),
% 9.28/6.82 inference(modus_ponens,[status(thm)],[24340, 24339])).
% 9.28/6.82 tff(24342,plain,
% 9.28/6.82 (v84(constB179, bitIndex0) <=> v84(constB178, bitIndex0)),
% 9.28/6.82 inference(unit_resolution,[status(thm)],[24341, 9772, 1635])).
% 9.28/6.82 tff(24343,plain,
% 9.28/6.82 (((~![B: $i] : ((~less_3(B)) | (v84(constB178, B) <=> v123(constB178, B)))) | ((~less_3(bitIndex0)) | (v84(constB178, bitIndex0) <=> v123(constB178, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB178, B) <=> v123(constB178, B)))) | (~less_3(bitIndex0)) | (v84(constB178, bitIndex0) <=> v123(constB178, bitIndex0)))),
% 9.28/6.82 inference(rewrite,[status(thm)],[])).
% 9.28/6.82 tff(24344,plain,
% 9.28/6.82 ((~![B: $i] : ((~less_3(B)) | (v84(constB178, B) <=> v123(constB178, B)))) | ((~less_3(bitIndex0)) | (v84(constB178, bitIndex0) <=> v123(constB178, bitIndex0)))),
% 9.28/6.82 inference(quant_inst,[status(thm)],[])).
% 9.28/6.82 tff(24345,plain,
% 9.28/6.82 ((~![B: $i] : ((~less_3(B)) | (v84(constB178, B) <=> v123(constB178, B)))) | (~less_3(bitIndex0)) | (v84(constB178, bitIndex0) <=> v123(constB178, bitIndex0))),
% 9.28/6.82 inference(modus_ponens,[status(thm)],[24344, 24343])).
% 9.28/6.82 tff(24346,plain,
% 9.28/6.82 (v84(constB178, bitIndex0) <=> v123(constB178, bitIndex0)),
% 9.28/6.82 inference(unit_resolution,[status(thm)],[24345, 9772, 24298])).
% 9.28/6.82 tff(24347,plain,
% 9.28/6.82 (((~![B: $i] : ((~less_3(B)) | (v123(constB178, B) <=> v121(constB177, B)))) | ((~less_3(bitIndex0)) | (v123(constB178, bitIndex0) <=> v121(constB177, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB178, B) <=> v121(constB177, B)))) | (~less_3(bitIndex0)) | (v123(constB178, bitIndex0) <=> v121(constB177, bitIndex0)))),
% 9.28/6.82 inference(rewrite,[status(thm)],[])).
% 9.28/6.82 tff(24348,plain,
% 9.28/6.82 ((~![B: $i] : ((~less_3(B)) | (v123(constB178, B) <=> v121(constB177, B)))) | ((~less_3(bitIndex0)) | (v123(constB178, bitIndex0) <=> v121(constB177, bitIndex0)))),
% 9.28/6.82 inference(quant_inst,[status(thm)],[])).
% 9.28/6.82 tff(24349,plain,
% 9.28/6.82 ((~![B: $i] : ((~less_3(B)) | (v123(constB178, B) <=> v121(constB177, B)))) | (~less_3(bitIndex0)) | (v123(constB178, bitIndex0) <=> v121(constB177, bitIndex0))),
% 9.28/6.82 inference(modus_ponens,[status(thm)],[24348, 24347])).
% 9.28/6.82 tff(24350,plain,
% 9.28/6.82 (v123(constB178, bitIndex0) <=> v121(constB177, bitIndex0)),
% 9.28/6.82 inference(unit_resolution,[status(thm)],[24349, 9772, 24306])).
% 9.28/6.82 tff(24351,plain,
% 9.28/6.82 (((~![B: $i] : ((~less_3(B)) | (v121(constB177, B) <=> v124(constB177, B)))) | ((~less_3(bitIndex0)) | (v121(constB177, bitIndex0) <=> v124(constB177, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB177, B) <=> v124(constB177, B)))) | (~less_3(bitIndex0)) | (v121(constB177, bitIndex0) <=> v124(constB177, bitIndex0)))),
% 9.28/6.82 inference(rewrite,[status(thm)],[])).
% 9.28/6.82 tff(24352,plain,
% 9.28/6.82 ((~![B: $i] : ((~less_3(B)) | (v121(constB177, B) <=> v124(constB177, B)))) | ((~less_3(bitIndex0)) | (v121(constB177, bitIndex0) <=> v124(constB177, bitIndex0)))),
% 9.28/6.82 inference(quant_inst,[status(thm)],[])).
% 9.28/6.82 tff(24353,plain,
% 9.28/6.82 ((~![B: $i] : ((~less_3(B)) | (v121(constB177, B) <=> v124(constB177, B)))) | (~less_3(bitIndex0)) | (v121(constB177, bitIndex0) <=> v124(constB177, bitIndex0))),
% 9.28/6.82 inference(modus_ponens,[status(thm)],[24352, 24351])).
% 9.28/6.82 tff(24354,plain,
% 9.28/6.82 (v121(constB177, bitIndex0) <=> v124(constB177, bitIndex0)),
% 9.28/6.82 inference(unit_resolution,[status(thm)],[24353, 9772, 24314])).
% 9.28/6.82 tff(24355,plain,
% 9.28/6.82 (((~![B: $i] : ((~less_3(B)) | (v124(constB177, B) <=> b101(B)))) | ((~less_3(bitIndex0)) | (v124(constB177, bitIndex0) <=> b101(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB177, B) <=> b101(B)))) | (~less_3(bitIndex0)) | (v124(constB177, bitIndex0) <=> b101(bitIndex0)))),
% 9.28/6.82 inference(rewrite,[status(thm)],[])).
% 9.28/6.82 tff(24356,plain,
% 9.28/6.82 ((~![B: $i] : ((~less_3(B)) | (v124(constB177, B) <=> b101(B)))) | ((~less_3(bitIndex0)) | (v124(constB177, bitIndex0) <=> b101(bitIndex0)))),
% 9.28/6.82 inference(quant_inst,[status(thm)],[])).
% 9.28/6.82 tff(24357,plain,
% 9.28/6.82 ((~![B: $i] : ((~less_3(B)) | (v124(constB177, B) <=> b101(B)))) | (~less_3(bitIndex0)) | (v124(constB177, bitIndex0) <=> b101(bitIndex0))),
% 9.28/6.82 inference(modus_ponens,[status(thm)],[24356, 24355])).
% 9.28/6.82 tff(24358,plain,
% 9.28/6.82 (v124(constB177, bitIndex0) <=> b101(bitIndex0)),
% 9.28/6.82 inference(unit_resolution,[status(thm)],[24357, 9772, 24323])).
% 9.28/6.82 tff(24359,plain,
% 9.28/6.82 ((~(v124(constB177, bitIndex0) <=> b101(bitIndex0))) | v124(constB177, bitIndex0) | (~b101(bitIndex0))),
% 9.28/6.82 inference(tautology,[status(thm)],[])).
% 9.28/6.82 tff(24360,plain,
% 9.28/6.82 ((~(v124(constB177, bitIndex0) <=> b101(bitIndex0))) | v124(constB177, bitIndex0)),
% 9.28/6.82 inference(unit_resolution,[status(thm)],[24359, 10723])).
% 9.28/6.82 tff(24361,plain,
% 9.28/6.82 (v124(constB177, bitIndex0)),
% 9.28/6.82 inference(unit_resolution,[status(thm)],[24360, 24358])).
% 9.28/6.82 tff(24362,plain,
% 9.28/6.82 ((~(v121(constB177, bitIndex0) <=> v124(constB177, bitIndex0))) | v121(constB177, bitIndex0) | (~v124(constB177, bitIndex0))),
% 9.28/6.82 inference(tautology,[status(thm)],[])).
% 9.28/6.82 tff(24363,plain,
% 9.28/6.82 (v121(constB177, bitIndex0)),
% 9.28/6.82 inference(unit_resolution,[status(thm)],[24362, 24361, 24354])).
% 9.28/6.82 tff(24364,plain,
% 9.28/6.82 ((~(v123(constB178, bitIndex0) <=> v121(constB177, bitIndex0))) | v123(constB178, bitIndex0) | (~v121(constB177, bitIndex0))),
% 9.28/6.82 inference(tautology,[status(thm)],[])).
% 9.28/6.82 tff(24365,plain,
% 9.28/6.82 (v123(constB178, bitIndex0)),
% 9.28/6.82 inference(unit_resolution,[status(thm)],[24364, 24363, 24350])).
% 9.28/6.82 tff(24366,plain,
% 9.28/6.82 ((~(v84(constB178, bitIndex0) <=> v123(constB178, bitIndex0))) | v84(constB178, bitIndex0) | (~v123(constB178, bitIndex0))),
% 9.28/6.82 inference(tautology,[status(thm)],[])).
% 9.28/6.82 tff(24367,plain,
% 9.28/6.82 (v84(constB178, bitIndex0)),
% 9.28/6.82 inference(unit_resolution,[status(thm)],[24366, 24365, 24346])).
% 9.28/6.82 tff(24368,plain,
% 9.28/6.82 ((~(v84(constB179, bitIndex0) <=> v84(constB178, bitIndex0))) | v84(constB179, bitIndex0) | (~v84(constB178, bitIndex0))),
% 9.28/6.82 inference(tautology,[status(thm)],[])).
% 9.28/6.82 tff(24369,plain,
% 9.28/6.82 (v84(constB179, bitIndex0)),
% 9.28/6.82 inference(unit_resolution,[status(thm)],[24368, 24367, 24342])).
% 9.28/6.82 tff(24370,plain,
% 9.28/6.82 (((~![B: $i] : ((~less_3(B)) | (v84(constB179, B) <=> v84(constB178, B)))) | ((~less_3(bitIndex1)) | (v84(constB179, bitIndex1) <=> v84(constB178, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB179, B) <=> v84(constB178, B)))) | (~less_3(bitIndex1)) | (v84(constB179, bitIndex1) <=> v84(constB178, bitIndex1)))),
% 9.28/6.82 inference(rewrite,[status(thm)],[])).
% 9.28/6.82 tff(24371,plain,
% 9.28/6.82 ((~![B: $i] : ((~less_3(B)) | (v84(constB179, B) <=> v84(constB178, B)))) | ((~less_3(bitIndex1)) | (v84(constB179, bitIndex1) <=> v84(constB178, bitIndex1)))),
% 9.28/6.82 inference(quant_inst,[status(thm)],[])).
% 9.28/6.82 tff(24372,plain,
% 9.28/6.82 ((~![B: $i] : ((~less_3(B)) | (v84(constB179, B) <=> v84(constB178, B)))) | (~less_3(bitIndex1)) | (v84(constB179, bitIndex1) <=> v84(constB178, bitIndex1))),
% 9.28/6.82 inference(modus_ponens,[status(thm)],[24371, 24370])).
% 9.28/6.82 tff(24373,plain,
% 9.28/6.82 (v84(constB179, bitIndex1) <=> v84(constB178, bitIndex1)),
% 9.28/6.82 inference(unit_resolution,[status(thm)],[24372, 9785, 1635])).
% 9.28/6.82 tff(24374,plain,
% 9.28/6.82 (((~![B: $i] : ((~less_3(B)) | (v84(constB178, B) <=> v123(constB178, B)))) | ((~less_3(bitIndex1)) | (v84(constB178, bitIndex1) <=> v123(constB178, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB178, B) <=> v123(constB178, B)))) | (~less_3(bitIndex1)) | (v84(constB178, bitIndex1) <=> v123(constB178, bitIndex1)))),
% 9.28/6.82 inference(rewrite,[status(thm)],[])).
% 9.28/6.82 tff(24375,plain,
% 9.28/6.82 ((~![B: $i] : ((~less_3(B)) | (v84(constB178, B) <=> v123(constB178, B)))) | ((~less_3(bitIndex1)) | (v84(constB178, bitIndex1) <=> v123(constB178, bitIndex1)))),
% 9.28/6.82 inference(quant_inst,[status(thm)],[])).
% 9.28/6.82 tff(24376,plain,
% 9.28/6.82 ((~![B: $i] : ((~less_3(B)) | (v84(constB178, B) <=> v123(constB178, B)))) | (~less_3(bitIndex1)) | (v84(constB178, bitIndex1) <=> v123(constB178, bitIndex1))),
% 9.28/6.82 inference(modus_ponens,[status(thm)],[24375, 24374])).
% 9.28/6.82 tff(24377,plain,
% 9.28/6.82 (v84(constB178, bitIndex1) <=> v123(constB178, bitIndex1)),
% 9.28/6.82 inference(unit_resolution,[status(thm)],[24376, 9785, 24298])).
% 9.28/6.82 tff(24378,plain,
% 9.28/6.82 (((~![B: $i] : ((~less_3(B)) | (v123(constB178, B) <=> v121(constB177, B)))) | ((~less_3(bitIndex1)) | (v123(constB178, bitIndex1) <=> v121(constB177, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB178, B) <=> v121(constB177, B)))) | (~less_3(bitIndex1)) | (v123(constB178, bitIndex1) <=> v121(constB177, bitIndex1)))),
% 9.28/6.82 inference(rewrite,[status(thm)],[])).
% 9.28/6.82 tff(24379,plain,
% 9.28/6.82 ((~![B: $i] : ((~less_3(B)) | (v123(constB178, B) <=> v121(constB177, B)))) | ((~less_3(bitIndex1)) | (v123(constB178, bitIndex1) <=> v121(constB177, bitIndex1)))),
% 9.28/6.82 inference(quant_inst,[status(thm)],[])).
% 9.28/6.82 tff(24380,plain,
% 9.28/6.82 ((~![B: $i] : ((~less_3(B)) | (v123(constB178, B) <=> v121(constB177, B)))) | (~less_3(bitIndex1)) | (v123(constB178, bitIndex1) <=> v121(constB177, bitIndex1))),
% 9.28/6.82 inference(modus_ponens,[status(thm)],[24379, 24378])).
% 9.28/6.82 tff(24381,plain,
% 9.28/6.82 (v123(constB178, bitIndex1) <=> v121(constB177, bitIndex1)),
% 9.28/6.82 inference(unit_resolution,[status(thm)],[24380, 9785, 24306])).
% 9.28/6.82 tff(24382,plain,
% 9.28/6.82 (((~![B: $i] : ((~less_3(B)) | (v121(constB177, B) <=> v124(constB177, B)))) | ((~less_3(bitIndex1)) | (v121(constB177, bitIndex1) <=> v124(constB177, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB177, B) <=> v124(constB177, B)))) | (~less_3(bitIndex1)) | (v121(constB177, bitIndex1) <=> v124(constB177, bitIndex1)))),
% 9.28/6.82 inference(rewrite,[status(thm)],[])).
% 9.28/6.82 tff(24383,plain,
% 9.28/6.82 ((~![B: $i] : ((~less_3(B)) | (v121(constB177, B) <=> v124(constB177, B)))) | ((~less_3(bitIndex1)) | (v121(constB177, bitIndex1) <=> v124(constB177, bitIndex1)))),
% 9.28/6.82 inference(quant_inst,[status(thm)],[])).
% 9.28/6.82 tff(24384,plain,
% 9.28/6.82 ((~![B: $i] : ((~less_3(B)) | (v121(constB177, B) <=> v124(constB177, B)))) | (~less_3(bitIndex1)) | (v121(constB177, bitIndex1) <=> v124(constB177, bitIndex1))),
% 9.28/6.82 inference(modus_ponens,[status(thm)],[24383, 24382])).
% 9.28/6.82 tff(24385,plain,
% 9.28/6.82 (v121(constB177, bitIndex1) <=> v124(constB177, bitIndex1)),
% 9.28/6.82 inference(unit_resolution,[status(thm)],[24384, 9785, 24314])).
% 9.28/6.82 tff(24386,plain,
% 9.28/6.82 (((~![B: $i] : ((~less_3(B)) | (v124(constB177, B) <=> b101(B)))) | ((~less_3(bitIndex1)) | (v124(constB177, bitIndex1) <=> b101(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB177, B) <=> b101(B)))) | (~less_3(bitIndex1)) | (v124(constB177, bitIndex1) <=> b101(bitIndex1)))),
% 9.28/6.82 inference(rewrite,[status(thm)],[])).
% 9.28/6.82 tff(24387,plain,
% 9.28/6.82 ((~![B: $i] : ((~less_3(B)) | (v124(constB177, B) <=> b101(B)))) | ((~less_3(bitIndex1)) | (v124(constB177, bitIndex1) <=> b101(bitIndex1)))),
% 9.28/6.82 inference(quant_inst,[status(thm)],[])).
% 9.28/6.82 tff(24388,plain,
% 9.28/6.82 ((~![B: $i] : ((~less_3(B)) | (v124(constB177, B) <=> b101(B)))) | (~less_3(bitIndex1)) | (v124(constB177, bitIndex1) <=> b101(bitIndex1))),
% 9.28/6.82 inference(modus_ponens,[status(thm)],[24387, 24386])).
% 9.28/6.82 tff(24389,plain,
% 9.28/6.82 (v124(constB177, bitIndex1) <=> b101(bitIndex1)),
% 9.28/6.82 inference(unit_resolution,[status(thm)],[24388, 9785, 24323])).
% 9.28/6.82 tff(24390,plain,
% 9.28/6.82 ((~(v124(constB177, bitIndex1) <=> b101(bitIndex1))) | (~v124(constB177, bitIndex1)) | b101(bitIndex1)),
% 9.28/6.82 inference(tautology,[status(thm)],[])).
% 9.28/6.82 tff(24391,plain,
% 9.28/6.82 ((~(v124(constB177, bitIndex1) <=> b101(bitIndex1))) | (~v124(constB177, bitIndex1))),
% 9.28/6.82 inference(unit_resolution,[status(thm)],[24390, 10757])).
% 9.28/6.82 tff(24392,plain,
% 9.28/6.82 (~v124(constB177, bitIndex1)),
% 9.28/6.82 inference(unit_resolution,[status(thm)],[24391, 24389])).
% 9.28/6.82 tff(24393,plain,
% 9.28/6.82 ((~(v121(constB177, bitIndex1) <=> v124(constB177, bitIndex1))) | (~v121(constB177, bitIndex1)) | v124(constB177, bitIndex1)),
% 9.28/6.82 inference(tautology,[status(thm)],[])).
% 9.28/6.82 tff(24394,plain,
% 9.28/6.82 (~v121(constB177, bitIndex1)),
% 9.28/6.82 inference(unit_resolution,[status(thm)],[24393, 24392, 24385])).
% 9.28/6.82 tff(24395,plain,
% 9.28/6.82 ((~(v123(constB178, bitIndex1) <=> v121(constB177, bitIndex1))) | (~v123(constB178, bitIndex1)) | v121(constB177, bitIndex1)),
% 9.28/6.82 inference(tautology,[status(thm)],[])).
% 9.28/6.82 tff(24396,plain,
% 9.28/6.82 (~v123(constB178, bitIndex1)),
% 9.28/6.82 inference(unit_resolution,[status(thm)],[24395, 24394, 24381])).
% 9.28/6.82 tff(24397,plain,
% 9.28/6.82 ((~(v84(constB178, bitIndex1) <=> v123(constB178, bitIndex1))) | (~v84(constB178, bitIndex1)) | v123(constB178, bitIndex1)),
% 9.28/6.82 inference(tautology,[status(thm)],[])).
% 9.28/6.82 tff(24398,plain,
% 9.28/6.82 (~v84(constB178, bitIndex1)),
% 9.28/6.82 inference(unit_resolution,[status(thm)],[24397, 24396, 24377])).
% 9.28/6.82 tff(24399,plain,
% 9.28/6.82 ((~(v84(constB179, bitIndex1) <=> v84(constB178, bitIndex1))) | (~v84(constB179, bitIndex1)) | v84(constB178, bitIndex1)),
% 9.28/6.82 inference(tautology,[status(thm)],[])).
% 9.28/6.82 tff(24400,plain,
% 9.28/6.82 (~v84(constB179, bitIndex1)),
% 9.28/6.82 inference(unit_resolution,[status(thm)],[24399, 24398, 24373])).
% 9.28/6.82 tff(24401,plain,
% 9.28/6.82 ((~((~v84(constB179, bitIndex2)) | v84(constB179, bitIndex1) | (~v84(constB179, bitIndex0)))) | (~v84(constB179, bitIndex2)) | v84(constB179, bitIndex1) | (~v84(constB179, bitIndex0))),
% 9.28/6.82 inference(tautology,[status(thm)],[])).
% 9.28/6.82 tff(24402,plain,
% 9.28/6.82 (~((~v84(constB179, bitIndex2)) | v84(constB179, bitIndex1) | (~v84(constB179, bitIndex0)))),
% 9.28/6.82 inference(unit_resolution,[status(thm)],[24401, 24400, 24369, 24338])).
% 9.28/6.82 tff(24403,plain,
% 9.28/6.82 ((~(v118(constB179) <=> (~((~v84(constB179, bitIndex2)) | v84(constB179, bitIndex1) | (~v84(constB179, bitIndex0)))))) | v118(constB179) | ((~v84(constB179, bitIndex2)) | v84(constB179, bitIndex1) | (~v84(constB179, bitIndex0)))),
% 9.28/6.82 inference(tautology,[status(thm)],[])).
% 9.28/6.82 tff(24404,plain,
% 9.28/6.82 (v118(constB179)),
% 9.28/6.82 inference(unit_resolution,[status(thm)],[24403, 24402, 1607])).
% 9.28/6.82 tff(24405,plain,
% 9.28/6.82 ((v109(constB179) | v118(constB179)) | (~v118(constB179))),
% 9.28/6.82 inference(tautology,[status(thm)],[])).
% 9.28/6.82 tff(24406,plain,
% 9.28/6.82 (v109(constB179) | v118(constB179)),
% 9.28/6.82 inference(unit_resolution,[status(thm)],[24405, 24404])).
% 9.28/6.82 tff(24407,plain,
% 9.28/6.82 ((~(v108(constB179) <=> (v109(constB179) | v118(constB179)))) | v108(constB179) | (~(v109(constB179) | v118(constB179)))),
% 9.28/6.82 inference(tautology,[status(thm)],[])).
% 9.28/6.82 tff(24408,plain,
% 9.28/6.82 (v108(constB179)),
% 9.28/6.82 inference(unit_resolution,[status(thm)],[24407, 24406, 1600])).
% 9.28/6.82 tff(24409,plain,
% 9.28/6.82 ((v108(constB179) | v119(constB179)) | (~v108(constB179))),
% 9.28/6.82 inference(tautology,[status(thm)],[])).
% 9.28/6.82 tff(24410,plain,
% 9.28/6.82 (v108(constB179) | v119(constB179)),
% 9.28/6.82 inference(unit_resolution,[status(thm)],[24409, 24408])).
% 9.28/6.82 tff(24411,plain,
% 9.28/6.82 ((~(v107(constB179) <=> (v108(constB179) | v119(constB179)))) | v107(constB179) | (~(v108(constB179) | v119(constB179)))),
% 9.28/6.82 inference(tautology,[status(thm)],[])).
% 9.28/6.82 tff(24412,plain,
% 9.28/6.82 (v107(constB179)),
% 9.28/6.82 inference(unit_resolution,[status(thm)],[24411, 24410, 1598])).
% 9.28/6.82 tff(24413,plain,
% 9.28/6.82 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB179)) <=> v105(constB179))),
% 9.28/6.82 inference(quant_inst,[status(thm)],[])).
% 9.28/6.82 tff(24414,plain,
% 9.28/6.82 ((~v120(constB179)) <=> v105(constB179)),
% 9.28/6.82 inference(unit_resolution,[status(thm)],[24413, 9842])).
% 9.28/6.82 tff(24415,plain,
% 9.28/6.82 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB179) <=> v26(constB179))),
% 9.28/6.82 inference(quant_inst,[status(thm)],[])).
% 9.28/6.82 tff(24416,plain,
% 9.28/6.82 (v105(constB179) <=> v26(constB179)),
% 9.28/6.82 inference(unit_resolution,[status(thm)],[24415, 9854])).
% 9.28/6.82 tff(24417,plain,
% 9.28/6.82 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB179))),
% 9.28/6.82 inference(quant_inst,[status(thm)],[])).
% 9.28/6.82 tff(24418,plain,
% 9.28/6.82 (~v26(constB179)),
% 9.28/6.82 inference(unit_resolution,[status(thm)],[24417, 9866])).
% 9.28/6.82 tff(24419,plain,
% 9.28/6.82 ((~(v105(constB179) <=> v26(constB179))) | (~v105(constB179)) | v26(constB179)),
% 9.28/6.82 inference(tautology,[status(thm)],[])).
% 9.28/6.82 tff(24420,plain,
% 9.28/6.82 ((~(v105(constB179) <=> v26(constB179))) | (~v105(constB179))),
% 9.28/6.82 inference(unit_resolution,[status(thm)],[24419, 24418])).
% 9.28/6.82 tff(24421,plain,
% 9.28/6.82 (~v105(constB179)),
% 9.28/6.82 inference(unit_resolution,[status(thm)],[24420, 24416])).
% 9.28/6.82 tff(24422,plain,
% 9.28/6.82 ((~((~v120(constB179)) <=> v105(constB179))) | v120(constB179) | v105(constB179)),
% 9.28/6.82 inference(tautology,[status(thm)],[])).
% 9.28/6.82 tff(24423,plain,
% 9.28/6.82 ((~((~v120(constB179)) <=> v105(constB179))) | v120(constB179)),
% 9.28/6.82 inference(unit_resolution,[status(thm)],[24422, 24421])).
% 9.28/6.82 tff(24424,plain,
% 9.28/6.82 (v120(constB179)),
% 9.28/6.82 inference(unit_resolution,[status(thm)],[24423, 24414])).
% 9.28/6.82 tff(24425,plain,
% 9.28/6.82 ((~((~v107(constB179)) | (~v120(constB179)))) | (~v107(constB179)) | (~v120(constB179))),
% 9.28/6.82 inference(tautology,[status(thm)],[])).
% 9.28/6.82 tff(24426,plain,
% 9.28/6.82 ((~((~v107(constB179)) | (~v120(constB179)))) | (~v107(constB179))),
% 9.28/6.82 inference(unit_resolution,[status(thm)],[24425, 24424])).
% 9.28/6.82 tff(24427,plain,
% 9.28/6.82 (~((~v107(constB179)) | (~v120(constB179)))),
% 9.28/6.82 inference(unit_resolution,[status(thm)],[24426, 24412])).
% 9.28/6.82 tff(24428,plain,
% 9.28/6.82 ((~(v106(constB179) <=> (~((~v107(constB179)) | (~v120(constB179)))))) | v106(constB179) | ((~v107(constB179)) | (~v120(constB179)))),
% 9.28/6.82 inference(tautology,[status(thm)],[])).
% 9.28/6.82 tff(24429,plain,
% 9.28/6.82 (v106(constB179)),
% 9.28/6.82 inference(unit_resolution,[status(thm)],[24428, 24427, 1596])).
% 9.28/6.82 tff(24430,plain,
% 9.28/6.82 ((v105(constB179) | v106(constB179)) | (~v106(constB179))),
% 9.28/6.82 inference(tautology,[status(thm)],[])).
% 9.28/6.82 tff(24431,plain,
% 9.28/6.82 (v105(constB179) | v106(constB179)),
% 9.28/6.82 inference(unit_resolution,[status(thm)],[24430, 24429])).
% 9.28/6.82 tff(24432,plain,
% 9.28/6.82 ((~(v102(constB179) <=> (v105(constB179) | v106(constB179)))) | v102(constB179) | (~(v105(constB179) | v106(constB179)))),
% 9.28/6.82 inference(tautology,[status(thm)],[])).
% 9.28/6.82 tff(24433,plain,
% 9.28/6.82 (v102(constB179)),
% 9.28/6.82 inference(unit_resolution,[status(thm)],[24432, 24431, 1594])).
% 9.28/6.82 tff(24434,plain,
% 9.28/6.82 ((~(v104(constB180) <=> v102(constB179))) | v104(constB180) | (~v102(constB179))),
% 9.28/6.82 inference(tautology,[status(thm)],[])).
% 9.28/6.82 tff(24435,plain,
% 9.28/6.82 (v104(constB180)),
% 9.28/6.82 inference(unit_resolution,[status(thm)],[24434, 24433, 1592])).
% 9.28/6.82 tff(24436,plain,
% 9.28/6.82 ((~((~v104(constB180)) | (~v95(constB180)))) | (~v104(constB180)) | (~v95(constB180))),
% 9.28/6.82 inference(tautology,[status(thm)],[])).
% 9.28/6.82 tff(24437,plain,
% 9.28/6.82 (~((~v104(constB180)) | (~v95(constB180)))),
% 9.28/6.82 inference(unit_resolution,[status(thm)],[24436, 24435, 1588])).
% 9.28/6.82 tff(24438,plain,
% 9.28/6.82 ((~(v94(constB180) <=> (~((~v104(constB180)) | (~v95(constB180)))))) | v94(constB180) | ((~v104(constB180)) | (~v95(constB180)))),
% 9.28/6.82 inference(tautology,[status(thm)],[])).
% 9.28/6.82 tff(24439,plain,
% 9.28/6.82 (v94(constB180)),
% 9.28/6.82 inference(unit_resolution,[status(thm)],[24438, 24437, 1557])).
% 9.28/6.82 tff(24440,plain,
% 9.28/6.82 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB180)) | ![B: $i] : ((~less_3(B)) | (v84(constB180, B) <=> v123(constB180, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB180)) | ![B: $i] : ((~less_3(B)) | (v84(constB180, B) <=> v123(constB180, B))))),
% 9.28/6.82 inference(rewrite,[status(thm)],[])).
% 9.28/6.82 tff(24441,plain,
% 9.28/6.82 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB180)) | ![B: $i] : ((~less_3(B)) | (v84(constB180, B) <=> v123(constB180, B))))),
% 9.28/6.82 inference(quant_inst,[status(thm)],[])).
% 9.28/6.82 tff(24442,plain,
% 9.28/6.82 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB180)) | ![B: $i] : ((~less_3(B)) | (v84(constB180, B) <=> v123(constB180, B)))),
% 9.28/6.82 inference(modus_ponens,[status(thm)],[24441, 24440])).
% 9.28/6.82 tff(24443,plain,
% 9.28/6.82 ((~v94(constB180)) | ![B: $i] : ((~less_3(B)) | (v84(constB180, B) <=> v123(constB180, B)))),
% 9.28/6.82 inference(unit_resolution,[status(thm)],[24442, 9902])).
% 9.28/6.82 tff(24444,plain,
% 9.28/6.82 (![B: $i] : ((~less_3(B)) | (v84(constB180, B) <=> v123(constB180, B)))),
% 9.28/6.82 inference(unit_resolution,[status(thm)],[24443, 24439])).
% 9.28/6.82 tff(24445,plain,
% 9.28/6.82 (((~![B: $i] : ((~less_3(B)) | (v84(constB180, B) <=> v123(constB180, B)))) | ((~less_3(bitIndex2)) | (v84(constB180, bitIndex2) <=> v123(constB180, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB180, B) <=> v123(constB180, B)))) | (~less_3(bitIndex2)) | (v84(constB180, bitIndex2) <=> v123(constB180, bitIndex2)))),
% 9.28/6.82 inference(rewrite,[status(thm)],[])).
% 9.28/6.82 tff(24446,plain,
% 9.28/6.82 ((~![B: $i] : ((~less_3(B)) | (v84(constB180, B) <=> v123(constB180, B)))) | ((~less_3(bitIndex2)) | (v84(constB180, bitIndex2) <=> v123(constB180, bitIndex2)))),
% 9.28/6.82 inference(quant_inst,[status(thm)],[])).
% 9.28/6.82 tff(24447,plain,
% 9.28/6.82 ((~![B: $i] : ((~less_3(B)) | (v84(constB180, B) <=> v123(constB180, B)))) | (~less_3(bitIndex2)) | (v84(constB180, bitIndex2) <=> v123(constB180, bitIndex2))),
% 9.28/6.82 inference(modus_ponens,[status(thm)],[24446, 24445])).
% 9.28/6.82 tff(24448,plain,
% 9.28/6.82 (v84(constB180, bitIndex2) <=> v123(constB180, bitIndex2)),
% 9.28/6.82 inference(unit_resolution,[status(thm)],[24447, 832, 24444])).
% 9.28/6.82 tff(24449,plain,
% 9.28/6.82 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB179, constB180)) | ![B: $i] : ((~less_3(B)) | (v123(constB180, B) <=> v121(constB179, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB179, constB180)) | ![B: $i] : ((~less_3(B)) | (v123(constB180, B) <=> v121(constB179, B))))),
% 9.28/6.82 inference(rewrite,[status(thm)],[])).
% 9.28/6.82 tff(24450,plain,
% 9.28/6.82 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB179, constB180)) | ![B: $i] : ((~less_3(B)) | (v123(constB180, B) <=> v121(constB179, B))))),
% 9.28/6.82 inference(quant_inst,[status(thm)],[])).
% 9.28/6.82 tff(24451,plain,
% 9.28/6.82 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB179, constB180)) | ![B: $i] : ((~less_3(B)) | (v123(constB180, B) <=> v121(constB179, B)))),
% 9.28/6.82 inference(modus_ponens,[status(thm)],[24450, 24449])).
% 9.28/6.82 tff(24452,plain,
% 9.28/6.82 (![B: $i] : ((~less_3(B)) | (v123(constB180, B) <=> v121(constB179, B)))),
% 9.28/6.82 inference(unit_resolution,[status(thm)],[24451, 1553, 9924])).
% 9.28/6.82 tff(24453,plain,
% 9.28/6.82 (((~![B: $i] : ((~less_3(B)) | (v123(constB180, B) <=> v121(constB179, B)))) | ((~less_3(bitIndex2)) | (v123(constB180, bitIndex2) <=> v121(constB179, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB180, B) <=> v121(constB179, B)))) | (~less_3(bitIndex2)) | (v123(constB180, bitIndex2) <=> v121(constB179, bitIndex2)))),
% 9.28/6.82 inference(rewrite,[status(thm)],[])).
% 9.28/6.82 tff(24454,plain,
% 9.28/6.82 ((~![B: $i] : ((~less_3(B)) | (v123(constB180, B) <=> v121(constB179, B)))) | ((~less_3(bitIndex2)) | (v123(constB180, bitIndex2) <=> v121(constB179, bitIndex2)))),
% 9.28/6.82 inference(quant_inst,[status(thm)],[])).
% 9.28/6.82 tff(24455,plain,
% 9.28/6.82 ((~![B: $i] : ((~less_3(B)) | (v123(constB180, B) <=> v121(constB179, B)))) | (~less_3(bitIndex2)) | (v123(constB180, bitIndex2) <=> v121(constB179, bitIndex2))),
% 9.28/6.82 inference(modus_ponens,[status(thm)],[24454, 24453])).
% 9.28/6.82 tff(24456,plain,
% 9.28/6.82 (v123(constB180, bitIndex2) <=> v121(constB179, bitIndex2)),
% 9.28/6.82 inference(unit_resolution,[status(thm)],[24455, 832, 24452])).
% 9.28/6.82 tff(24457,plain,
% 9.28/6.82 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB179) | ![B: $i] : ((~less_3(B)) | (v121(constB179, B) <=> v124(constB179, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB179) | ![B: $i] : ((~less_3(B)) | (v121(constB179, B) <=> v124(constB179, B))))),
% 9.28/6.82 inference(rewrite,[status(thm)],[])).
% 9.28/6.82 tff(24458,plain,
% 9.28/6.82 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB179) | ![B: $i] : ((~less_3(B)) | (v121(constB179, B) <=> v124(constB179, B))))),
% 9.28/6.82 inference(quant_inst,[status(thm)],[])).
% 9.28/6.82 tff(24459,plain,
% 9.28/6.82 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB179) | ![B: $i] : ((~less_3(B)) | (v121(constB179, B) <=> v124(constB179, B)))),
% 9.28/6.82 inference(modus_ponens,[status(thm)],[24458, 24457])).
% 9.28/6.82 tff(24460,plain,
% 9.28/6.82 (![B: $i] : ((~less_3(B)) | (v121(constB179, B) <=> v124(constB179, B)))),
% 9.28/6.82 inference(unit_resolution,[status(thm)],[24459, 9945, 24421])).
% 9.28/6.82 tff(24461,plain,
% 9.28/6.82 (((~![B: $i] : ((~less_3(B)) | (v121(constB179, B) <=> v124(constB179, B)))) | ((~less_3(bitIndex2)) | (v121(constB179, bitIndex2) <=> v124(constB179, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB179, B) <=> v124(constB179, B)))) | (~less_3(bitIndex2)) | (v121(constB179, bitIndex2) <=> v124(constB179, bitIndex2)))),
% 9.28/6.82 inference(rewrite,[status(thm)],[])).
% 9.28/6.82 tff(24462,plain,
% 9.28/6.82 ((~![B: $i] : ((~less_3(B)) | (v121(constB179, B) <=> v124(constB179, B)))) | ((~less_3(bitIndex2)) | (v121(constB179, bitIndex2) <=> v124(constB179, bitIndex2)))),
% 9.28/6.82 inference(quant_inst,[status(thm)],[])).
% 9.28/6.82 tff(24463,plain,
% 9.28/6.82 ((~![B: $i] : ((~less_3(B)) | (v121(constB179, B) <=> v124(constB179, B)))) | (~less_3(bitIndex2)) | (v121(constB179, bitIndex2) <=> v124(constB179, bitIndex2))),
% 9.28/6.82 inference(modus_ponens,[status(thm)],[24462, 24461])).
% 9.28/6.82 tff(24464,plain,
% 9.28/6.82 (v121(constB179, bitIndex2) <=> v124(constB179, bitIndex2)),
% 9.28/6.82 inference(unit_resolution,[status(thm)],[24463, 832, 24460])).
% 9.28/6.82 tff(24465,plain,
% 9.28/6.82 (((~![VarCurr: $i] : ((~v118(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b110(B))))) | ((~v118(constB179)) | ![B: $i] : ((~less_3(B)) | (v124(constB179, B) <=> b110(B))))) <=> ((~![VarCurr: $i] : ((~v118(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b110(B))))) | (~v118(constB179)) | ![B: $i] : ((~less_3(B)) | (v124(constB179, B) <=> b110(B))))),
% 9.28/6.82 inference(rewrite,[status(thm)],[])).
% 9.28/6.82 tff(24466,plain,
% 9.28/6.82 ((~![VarCurr: $i] : ((~v118(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b110(B))))) | ((~v118(constB179)) | ![B: $i] : ((~less_3(B)) | (v124(constB179, B) <=> b110(B))))),
% 9.28/6.82 inference(quant_inst,[status(thm)],[])).
% 9.28/6.82 tff(24467,plain,
% 9.28/6.82 ((~![VarCurr: $i] : ((~v118(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b110(B))))) | (~v118(constB179)) | ![B: $i] : ((~less_3(B)) | (v124(constB179, B) <=> b110(B)))),
% 9.28/6.83 inference(modus_ponens,[status(thm)],[24466, 24465])).
% 9.28/6.83 tff(24468,plain,
% 9.28/6.83 ((~v118(constB179)) | ![B: $i] : ((~less_3(B)) | (v124(constB179, B) <=> b110(B)))),
% 9.28/6.83 inference(unit_resolution,[status(thm)],[24467, 10845])).
% 9.28/6.83 tff(24469,plain,
% 9.28/6.83 (![B: $i] : ((~less_3(B)) | (v124(constB179, B) <=> b110(B)))),
% 9.28/6.83 inference(unit_resolution,[status(thm)],[24468, 24404])).
% 9.28/6.83 tff(24470,plain,
% 9.28/6.83 (((~![B: $i] : ((~less_3(B)) | (v124(constB179, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v124(constB179, bitIndex2) <=> b110(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB179, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v124(constB179, bitIndex2) <=> b110(bitIndex2)))),
% 9.28/6.83 inference(rewrite,[status(thm)],[])).
% 9.28/6.83 tff(24471,plain,
% 9.28/6.83 ((~![B: $i] : ((~less_3(B)) | (v124(constB179, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v124(constB179, bitIndex2) <=> b110(bitIndex2)))),
% 9.28/6.83 inference(quant_inst,[status(thm)],[])).
% 9.28/6.83 tff(24472,plain,
% 9.28/6.83 ((~![B: $i] : ((~less_3(B)) | (v124(constB179, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v124(constB179, bitIndex2) <=> b110(bitIndex2))),
% 9.28/6.83 inference(modus_ponens,[status(thm)],[24471, 24470])).
% 9.28/6.83 tff(24473,plain,
% 9.28/6.83 (v124(constB179, bitIndex2) <=> b110(bitIndex2)),
% 9.28/6.83 inference(unit_resolution,[status(thm)],[24472, 832, 24469])).
% 9.28/6.83 tff(24474,plain,
% 9.28/6.83 ((~(v124(constB179, bitIndex2) <=> b110(bitIndex2))) | v124(constB179, bitIndex2) | (~b110(bitIndex2))),
% 9.28/6.83 inference(tautology,[status(thm)],[])).
% 9.28/6.83 tff(24475,plain,
% 9.28/6.83 ((~(v124(constB179, bitIndex2) <=> b110(bitIndex2))) | v124(constB179, bitIndex2)),
% 9.28/6.83 inference(unit_resolution,[status(thm)],[24474, 10857])).
% 9.28/6.83 tff(24476,plain,
% 9.28/6.83 (v124(constB179, bitIndex2)),
% 9.28/6.83 inference(unit_resolution,[status(thm)],[24475, 24473])).
% 9.28/6.83 tff(24477,plain,
% 9.28/6.83 ((~(v121(constB179, bitIndex2) <=> v124(constB179, bitIndex2))) | v121(constB179, bitIndex2) | (~v124(constB179, bitIndex2))),
% 9.28/6.83 inference(tautology,[status(thm)],[])).
% 9.28/6.83 tff(24478,plain,
% 9.28/6.83 (v121(constB179, bitIndex2)),
% 9.28/6.83 inference(unit_resolution,[status(thm)],[24477, 24476, 24464])).
% 9.28/6.83 tff(24479,plain,
% 9.28/6.83 ((~(v123(constB180, bitIndex2) <=> v121(constB179, bitIndex2))) | v123(constB180, bitIndex2) | (~v121(constB179, bitIndex2))),
% 9.28/6.83 inference(tautology,[status(thm)],[])).
% 9.28/6.83 tff(24480,plain,
% 9.28/6.83 (v123(constB180, bitIndex2)),
% 9.28/6.83 inference(unit_resolution,[status(thm)],[24479, 24478, 24456])).
% 9.28/6.83 tff(24481,plain,
% 9.28/6.83 ((~(v84(constB180, bitIndex2) <=> v123(constB180, bitIndex2))) | v84(constB180, bitIndex2) | (~v123(constB180, bitIndex2))),
% 9.28/6.83 inference(tautology,[status(thm)],[])).
% 9.28/6.83 tff(24482,plain,
% 9.28/6.83 (v84(constB180, bitIndex2)),
% 9.28/6.83 inference(unit_resolution,[status(thm)],[24481, 24480, 24448])).
% 9.28/6.83 tff(24483,plain,
% 9.28/6.83 ((~(v84(constB181, bitIndex2) <=> v84(constB180, bitIndex2))) | v84(constB181, bitIndex2) | (~v84(constB180, bitIndex2))),
% 9.28/6.83 inference(tautology,[status(thm)],[])).
% 9.28/6.83 tff(24484,plain,
% 9.28/6.83 (v84(constB181, bitIndex2)),
% 9.28/6.83 inference(unit_resolution,[status(thm)],[24483, 24482, 1550])).
% 9.28/6.83 tff(24485,plain,
% 9.28/6.83 (((~![B: $i] : ((~less_3(B)) | (v84(constB181, B) <=> v84(constB180, B)))) | ((~less_3(bitIndex0)) | (v84(constB181, bitIndex0) <=> v84(constB180, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB181, B) <=> v84(constB180, B)))) | (~less_3(bitIndex0)) | (v84(constB181, bitIndex0) <=> v84(constB180, bitIndex0)))),
% 9.28/6.83 inference(rewrite,[status(thm)],[])).
% 9.28/6.83 tff(24486,plain,
% 9.28/6.83 ((~![B: $i] : ((~less_3(B)) | (v84(constB181, B) <=> v84(constB180, B)))) | ((~less_3(bitIndex0)) | (v84(constB181, bitIndex0) <=> v84(constB180, bitIndex0)))),
% 9.28/6.83 inference(quant_inst,[status(thm)],[])).
% 9.28/6.83 tff(24487,plain,
% 9.28/6.83 ((~![B: $i] : ((~less_3(B)) | (v84(constB181, B) <=> v84(constB180, B)))) | (~less_3(bitIndex0)) | (v84(constB181, bitIndex0) <=> v84(constB180, bitIndex0))),
% 9.28/6.83 inference(modus_ponens,[status(thm)],[24486, 24485])).
% 9.28/6.83 tff(24488,plain,
% 9.28/6.83 (v84(constB181, bitIndex0) <=> v84(constB180, bitIndex0)),
% 9.28/6.83 inference(unit_resolution,[status(thm)],[24487, 9772, 1546])).
% 9.28/6.83 tff(24489,plain,
% 9.28/6.83 (((~![B: $i] : ((~less_3(B)) | (v84(constB180, B) <=> v123(constB180, B)))) | ((~less_3(bitIndex0)) | (v84(constB180, bitIndex0) <=> v123(constB180, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB180, B) <=> v123(constB180, B)))) | (~less_3(bitIndex0)) | (v84(constB180, bitIndex0) <=> v123(constB180, bitIndex0)))),
% 9.28/6.83 inference(rewrite,[status(thm)],[])).
% 9.28/6.83 tff(24490,plain,
% 9.28/6.83 ((~![B: $i] : ((~less_3(B)) | (v84(constB180, B) <=> v123(constB180, B)))) | ((~less_3(bitIndex0)) | (v84(constB180, bitIndex0) <=> v123(constB180, bitIndex0)))),
% 9.28/6.83 inference(quant_inst,[status(thm)],[])).
% 9.28/6.83 tff(24491,plain,
% 9.28/6.83 ((~![B: $i] : ((~less_3(B)) | (v84(constB180, B) <=> v123(constB180, B)))) | (~less_3(bitIndex0)) | (v84(constB180, bitIndex0) <=> v123(constB180, bitIndex0))),
% 9.28/6.83 inference(modus_ponens,[status(thm)],[24490, 24489])).
% 9.28/6.83 tff(24492,plain,
% 9.28/6.83 (v84(constB180, bitIndex0) <=> v123(constB180, bitIndex0)),
% 9.28/6.83 inference(unit_resolution,[status(thm)],[24491, 9772, 24444])).
% 9.28/6.83 tff(24493,plain,
% 9.28/6.83 (((~![B: $i] : ((~less_3(B)) | (v123(constB180, B) <=> v121(constB179, B)))) | ((~less_3(bitIndex0)) | (v123(constB180, bitIndex0) <=> v121(constB179, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB180, B) <=> v121(constB179, B)))) | (~less_3(bitIndex0)) | (v123(constB180, bitIndex0) <=> v121(constB179, bitIndex0)))),
% 9.28/6.83 inference(rewrite,[status(thm)],[])).
% 9.28/6.83 tff(24494,plain,
% 9.28/6.83 ((~![B: $i] : ((~less_3(B)) | (v123(constB180, B) <=> v121(constB179, B)))) | ((~less_3(bitIndex0)) | (v123(constB180, bitIndex0) <=> v121(constB179, bitIndex0)))),
% 9.28/6.83 inference(quant_inst,[status(thm)],[])).
% 9.28/6.83 tff(24495,plain,
% 9.28/6.83 ((~![B: $i] : ((~less_3(B)) | (v123(constB180, B) <=> v121(constB179, B)))) | (~less_3(bitIndex0)) | (v123(constB180, bitIndex0) <=> v121(constB179, bitIndex0))),
% 9.28/6.83 inference(modus_ponens,[status(thm)],[24494, 24493])).
% 9.28/6.83 tff(24496,plain,
% 9.28/6.83 (v123(constB180, bitIndex0) <=> v121(constB179, bitIndex0)),
% 9.28/6.83 inference(unit_resolution,[status(thm)],[24495, 9772, 24452])).
% 9.28/6.83 tff(24497,plain,
% 9.28/6.83 (((~![B: $i] : ((~less_3(B)) | (v121(constB179, B) <=> v124(constB179, B)))) | ((~less_3(bitIndex0)) | (v121(constB179, bitIndex0) <=> v124(constB179, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB179, B) <=> v124(constB179, B)))) | (~less_3(bitIndex0)) | (v121(constB179, bitIndex0) <=> v124(constB179, bitIndex0)))),
% 9.28/6.83 inference(rewrite,[status(thm)],[])).
% 9.28/6.83 tff(24498,plain,
% 9.28/6.83 ((~![B: $i] : ((~less_3(B)) | (v121(constB179, B) <=> v124(constB179, B)))) | ((~less_3(bitIndex0)) | (v121(constB179, bitIndex0) <=> v124(constB179, bitIndex0)))),
% 9.28/6.83 inference(quant_inst,[status(thm)],[])).
% 9.28/6.83 tff(24499,plain,
% 9.28/6.83 ((~![B: $i] : ((~less_3(B)) | (v121(constB179, B) <=> v124(constB179, B)))) | (~less_3(bitIndex0)) | (v121(constB179, bitIndex0) <=> v124(constB179, bitIndex0))),
% 9.28/6.83 inference(modus_ponens,[status(thm)],[24498, 24497])).
% 9.28/6.83 tff(24500,plain,
% 9.28/6.83 (v121(constB179, bitIndex0) <=> v124(constB179, bitIndex0)),
% 9.28/6.83 inference(unit_resolution,[status(thm)],[24499, 9772, 24460])).
% 9.28/6.83 tff(24501,plain,
% 9.28/6.83 (((~![B: $i] : ((~less_3(B)) | (v124(constB179, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v124(constB179, bitIndex0) <=> b110(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB179, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v124(constB179, bitIndex0) <=> b110(bitIndex0)))),
% 9.28/6.83 inference(rewrite,[status(thm)],[])).
% 9.28/6.83 tff(24502,plain,
% 9.28/6.83 ((~![B: $i] : ((~less_3(B)) | (v124(constB179, B) <=> b110(B)))) | ((~less_3(bitIndex0)) | (v124(constB179, bitIndex0) <=> b110(bitIndex0)))),
% 9.28/6.83 inference(quant_inst,[status(thm)],[])).
% 9.28/6.83 tff(24503,plain,
% 9.28/6.83 ((~![B: $i] : ((~less_3(B)) | (v124(constB179, B) <=> b110(B)))) | (~less_3(bitIndex0)) | (v124(constB179, bitIndex0) <=> b110(bitIndex0))),
% 9.28/6.83 inference(modus_ponens,[status(thm)],[24502, 24501])).
% 9.28/6.83 tff(24504,plain,
% 9.28/6.83 (v124(constB179, bitIndex0) <=> b110(bitIndex0)),
% 9.28/6.83 inference(unit_resolution,[status(thm)],[24503, 9772, 24469])).
% 9.28/6.83 tff(24505,plain,
% 9.28/6.83 ((~(v124(constB179, bitIndex0) <=> b110(bitIndex0))) | (~v124(constB179, bitIndex0)) | b110(bitIndex0)),
% 9.28/6.83 inference(tautology,[status(thm)],[])).
% 9.28/6.83 tff(24506,plain,
% 9.28/6.83 ((~(v124(constB179, bitIndex0) <=> b110(bitIndex0))) | (~v124(constB179, bitIndex0))),
% 9.28/6.83 inference(unit_resolution,[status(thm)],[24505, 10891])).
% 9.28/6.83 tff(24507,plain,
% 9.28/6.83 (~v124(constB179, bitIndex0)),
% 9.28/6.83 inference(unit_resolution,[status(thm)],[24506, 24504])).
% 9.28/6.83 tff(24508,plain,
% 9.28/6.83 ((~(v121(constB179, bitIndex0) <=> v124(constB179, bitIndex0))) | (~v121(constB179, bitIndex0)) | v124(constB179, bitIndex0)),
% 9.28/6.83 inference(tautology,[status(thm)],[])).
% 9.28/6.83 tff(24509,plain,
% 9.28/6.83 (~v121(constB179, bitIndex0)),
% 9.28/6.83 inference(unit_resolution,[status(thm)],[24508, 24507, 24500])).
% 9.28/6.83 tff(24510,plain,
% 9.28/6.83 ((~(v123(constB180, bitIndex0) <=> v121(constB179, bitIndex0))) | (~v123(constB180, bitIndex0)) | v121(constB179, bitIndex0)),
% 9.28/6.83 inference(tautology,[status(thm)],[])).
% 9.28/6.83 tff(24511,plain,
% 9.28/6.83 (~v123(constB180, bitIndex0)),
% 9.28/6.83 inference(unit_resolution,[status(thm)],[24510, 24509, 24496])).
% 9.28/6.83 tff(24512,plain,
% 9.28/6.83 ((~(v84(constB180, bitIndex0) <=> v123(constB180, bitIndex0))) | (~v84(constB180, bitIndex0)) | v123(constB180, bitIndex0)),
% 9.28/6.83 inference(tautology,[status(thm)],[])).
% 9.28/6.83 tff(24513,plain,
% 9.28/6.83 (~v84(constB180, bitIndex0)),
% 9.28/6.83 inference(unit_resolution,[status(thm)],[24512, 24511, 24492])).
% 9.28/6.83 tff(24514,plain,
% 9.28/6.83 ((~(v84(constB181, bitIndex0) <=> v84(constB180, bitIndex0))) | (~v84(constB181, bitIndex0)) | v84(constB180, bitIndex0)),
% 9.28/6.83 inference(tautology,[status(thm)],[])).
% 9.28/6.83 tff(24515,plain,
% 9.28/6.83 (~v84(constB181, bitIndex0)),
% 9.28/6.83 inference(unit_resolution,[status(thm)],[24514, 24513, 24488])).
% 9.28/6.83 tff(24516,plain,
% 9.28/6.83 (((~![B: $i] : ((~less_3(B)) | (v84(constB181, B) <=> v84(constB180, B)))) | ((~less_3(bitIndex1)) | (v84(constB181, bitIndex1) <=> v84(constB180, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB181, B) <=> v84(constB180, B)))) | (~less_3(bitIndex1)) | (v84(constB181, bitIndex1) <=> v84(constB180, bitIndex1)))),
% 9.28/6.83 inference(rewrite,[status(thm)],[])).
% 9.28/6.83 tff(24517,plain,
% 9.28/6.83 ((~![B: $i] : ((~less_3(B)) | (v84(constB181, B) <=> v84(constB180, B)))) | ((~less_3(bitIndex1)) | (v84(constB181, bitIndex1) <=> v84(constB180, bitIndex1)))),
% 9.28/6.83 inference(quant_inst,[status(thm)],[])).
% 9.28/6.83 tff(24518,plain,
% 9.28/6.83 ((~![B: $i] : ((~less_3(B)) | (v84(constB181, B) <=> v84(constB180, B)))) | (~less_3(bitIndex1)) | (v84(constB181, bitIndex1) <=> v84(constB180, bitIndex1))),
% 9.28/6.83 inference(modus_ponens,[status(thm)],[24517, 24516])).
% 9.28/6.83 tff(24519,plain,
% 9.28/6.83 (v84(constB181, bitIndex1) <=> v84(constB180, bitIndex1)),
% 9.28/6.83 inference(unit_resolution,[status(thm)],[24518, 9785, 1546])).
% 9.28/6.83 tff(24520,plain,
% 9.28/6.83 (((~![B: $i] : ((~less_3(B)) | (v84(constB180, B) <=> v123(constB180, B)))) | ((~less_3(bitIndex1)) | (v84(constB180, bitIndex1) <=> v123(constB180, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB180, B) <=> v123(constB180, B)))) | (~less_3(bitIndex1)) | (v84(constB180, bitIndex1) <=> v123(constB180, bitIndex1)))),
% 9.28/6.83 inference(rewrite,[status(thm)],[])).
% 9.28/6.83 tff(24521,plain,
% 9.28/6.83 ((~![B: $i] : ((~less_3(B)) | (v84(constB180, B) <=> v123(constB180, B)))) | ((~less_3(bitIndex1)) | (v84(constB180, bitIndex1) <=> v123(constB180, bitIndex1)))),
% 9.28/6.83 inference(quant_inst,[status(thm)],[])).
% 9.28/6.83 tff(24522,plain,
% 9.28/6.83 ((~![B: $i] : ((~less_3(B)) | (v84(constB180, B) <=> v123(constB180, B)))) | (~less_3(bitIndex1)) | (v84(constB180, bitIndex1) <=> v123(constB180, bitIndex1))),
% 9.28/6.83 inference(modus_ponens,[status(thm)],[24521, 24520])).
% 9.28/6.83 tff(24523,plain,
% 9.28/6.83 (v84(constB180, bitIndex1) <=> v123(constB180, bitIndex1)),
% 9.28/6.83 inference(unit_resolution,[status(thm)],[24522, 9785, 24444])).
% 9.28/6.83 tff(24524,plain,
% 9.28/6.83 (((~![B: $i] : ((~less_3(B)) | (v123(constB180, B) <=> v121(constB179, B)))) | ((~less_3(bitIndex1)) | (v123(constB180, bitIndex1) <=> v121(constB179, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB180, B) <=> v121(constB179, B)))) | (~less_3(bitIndex1)) | (v123(constB180, bitIndex1) <=> v121(constB179, bitIndex1)))),
% 9.28/6.83 inference(rewrite,[status(thm)],[])).
% 9.28/6.83 tff(24525,plain,
% 9.28/6.83 ((~![B: $i] : ((~less_3(B)) | (v123(constB180, B) <=> v121(constB179, B)))) | ((~less_3(bitIndex1)) | (v123(constB180, bitIndex1) <=> v121(constB179, bitIndex1)))),
% 9.28/6.83 inference(quant_inst,[status(thm)],[])).
% 9.28/6.83 tff(24526,plain,
% 9.28/6.83 ((~![B: $i] : ((~less_3(B)) | (v123(constB180, B) <=> v121(constB179, B)))) | (~less_3(bitIndex1)) | (v123(constB180, bitIndex1) <=> v121(constB179, bitIndex1))),
% 9.28/6.83 inference(modus_ponens,[status(thm)],[24525, 24524])).
% 9.28/6.83 tff(24527,plain,
% 9.28/6.83 (v123(constB180, bitIndex1) <=> v121(constB179, bitIndex1)),
% 9.28/6.83 inference(unit_resolution,[status(thm)],[24526, 9785, 24452])).
% 9.28/6.83 tff(24528,plain,
% 9.28/6.83 (((~![B: $i] : ((~less_3(B)) | (v121(constB179, B) <=> v124(constB179, B)))) | ((~less_3(bitIndex1)) | (v121(constB179, bitIndex1) <=> v124(constB179, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB179, B) <=> v124(constB179, B)))) | (~less_3(bitIndex1)) | (v121(constB179, bitIndex1) <=> v124(constB179, bitIndex1)))),
% 9.28/6.83 inference(rewrite,[status(thm)],[])).
% 9.28/6.83 tff(24529,plain,
% 9.28/6.83 ((~![B: $i] : ((~less_3(B)) | (v121(constB179, B) <=> v124(constB179, B)))) | ((~less_3(bitIndex1)) | (v121(constB179, bitIndex1) <=> v124(constB179, bitIndex1)))),
% 9.28/6.83 inference(quant_inst,[status(thm)],[])).
% 9.28/6.83 tff(24530,plain,
% 9.28/6.83 ((~![B: $i] : ((~less_3(B)) | (v121(constB179, B) <=> v124(constB179, B)))) | (~less_3(bitIndex1)) | (v121(constB179, bitIndex1) <=> v124(constB179, bitIndex1))),
% 9.28/6.83 inference(modus_ponens,[status(thm)],[24529, 24528])).
% 9.28/6.83 tff(24531,plain,
% 9.28/6.83 (v121(constB179, bitIndex1) <=> v124(constB179, bitIndex1)),
% 9.28/6.83 inference(unit_resolution,[status(thm)],[24530, 9785, 24460])).
% 9.28/6.83 tff(24532,plain,
% 9.28/6.83 (((~![B: $i] : ((~less_3(B)) | (v124(constB179, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v124(constB179, bitIndex1) <=> b110(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB179, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v124(constB179, bitIndex1) <=> b110(bitIndex1)))),
% 9.28/6.83 inference(rewrite,[status(thm)],[])).
% 9.28/6.83 tff(24533,plain,
% 9.28/6.83 ((~![B: $i] : ((~less_3(B)) | (v124(constB179, B) <=> b110(B)))) | ((~less_3(bitIndex1)) | (v124(constB179, bitIndex1) <=> b110(bitIndex1)))),
% 9.28/6.83 inference(quant_inst,[status(thm)],[])).
% 9.28/6.83 tff(24534,plain,
% 9.28/6.83 ((~![B: $i] : ((~less_3(B)) | (v124(constB179, B) <=> b110(B)))) | (~less_3(bitIndex1)) | (v124(constB179, bitIndex1) <=> b110(bitIndex1))),
% 9.28/6.83 inference(modus_ponens,[status(thm)],[24533, 24532])).
% 9.28/6.83 tff(24535,plain,
% 9.28/6.83 (v124(constB179, bitIndex1) <=> b110(bitIndex1)),
% 9.28/6.83 inference(unit_resolution,[status(thm)],[24534, 9785, 24469])).
% 9.28/6.83 tff(24536,plain,
% 9.28/6.83 ((~(v124(constB179, bitIndex1) <=> b110(bitIndex1))) | v124(constB179, bitIndex1) | (~b110(bitIndex1))),
% 9.28/6.83 inference(tautology,[status(thm)],[])).
% 9.28/6.83 tff(24537,plain,
% 9.28/6.83 ((~(v124(constB179, bitIndex1) <=> b110(bitIndex1))) | v124(constB179, bitIndex1)),
% 9.28/6.83 inference(unit_resolution,[status(thm)],[24536, 10925])).
% 9.28/6.83 tff(24538,plain,
% 9.28/6.83 (v124(constB179, bitIndex1)),
% 9.28/6.83 inference(unit_resolution,[status(thm)],[24537, 24535])).
% 9.28/6.83 tff(24539,plain,
% 9.28/6.83 ((~(v121(constB179, bitIndex1) <=> v124(constB179, bitIndex1))) | v121(constB179, bitIndex1) | (~v124(constB179, bitIndex1))),
% 9.28/6.83 inference(tautology,[status(thm)],[])).
% 9.28/6.83 tff(24540,plain,
% 9.28/6.83 (v121(constB179, bitIndex1)),
% 9.28/6.83 inference(unit_resolution,[status(thm)],[24539, 24538, 24531])).
% 9.28/6.83 tff(24541,plain,
% 9.28/6.83 ((~(v123(constB180, bitIndex1) <=> v121(constB179, bitIndex1))) | v123(constB180, bitIndex1) | (~v121(constB179, bitIndex1))),
% 9.28/6.83 inference(tautology,[status(thm)],[])).
% 9.28/6.83 tff(24542,plain,
% 9.28/6.83 (v123(constB180, bitIndex1)),
% 9.28/6.83 inference(unit_resolution,[status(thm)],[24541, 24540, 24527])).
% 9.28/6.83 tff(24543,plain,
% 9.28/6.83 ((~(v84(constB180, bitIndex1) <=> v123(constB180, bitIndex1))) | v84(constB180, bitIndex1) | (~v123(constB180, bitIndex1))),
% 9.28/6.83 inference(tautology,[status(thm)],[])).
% 9.28/6.83 tff(24544,plain,
% 9.28/6.83 (v84(constB180, bitIndex1)),
% 9.28/6.83 inference(unit_resolution,[status(thm)],[24543, 24542, 24523])).
% 9.28/6.83 tff(24545,plain,
% 9.28/6.83 ((~(v84(constB181, bitIndex1) <=> v84(constB180, bitIndex1))) | v84(constB181, bitIndex1) | (~v84(constB180, bitIndex1))),
% 9.28/6.83 inference(tautology,[status(thm)],[])).
% 9.28/6.83 tff(24546,plain,
% 9.28/6.83 (v84(constB181, bitIndex1)),
% 9.28/6.83 inference(unit_resolution,[status(thm)],[24545, 24544, 24519])).
% 9.28/6.83 tff(24547,plain,
% 9.28/6.83 ((~((~v84(constB181, bitIndex2)) | (~v84(constB181, bitIndex1)) | v84(constB181, bitIndex0))) | (~v84(constB181, bitIndex2)) | (~v84(constB181, bitIndex1)) | v84(constB181, bitIndex0)),
% 9.28/6.83 inference(tautology,[status(thm)],[])).
% 9.28/6.83 tff(24548,plain,
% 9.28/6.83 (~((~v84(constB181, bitIndex2)) | (~v84(constB181, bitIndex1)) | v84(constB181, bitIndex0))),
% 9.28/6.83 inference(unit_resolution,[status(thm)],[24547, 24546, 24515, 24484])).
% 9.28/6.83 tff(24549,plain,
% 9.28/6.83 ((~(v119(constB181) <=> (~((~v84(constB181, bitIndex2)) | (~v84(constB181, bitIndex1)) | v84(constB181, bitIndex0))))) | v119(constB181) | ((~v84(constB181, bitIndex2)) | (~v84(constB181, bitIndex1)) | v84(constB181, bitIndex0))),
% 9.28/6.83 inference(tautology,[status(thm)],[])).
% 9.28/6.83 tff(24550,plain,
% 9.28/6.83 (v119(constB181)),
% 9.28/6.83 inference(unit_resolution,[status(thm)],[24549, 24548, 1518])).
% 9.28/6.83 tff(24551,plain,
% 9.28/6.83 ((v108(constB181) | v119(constB181)) | (~v119(constB181))),
% 9.28/6.83 inference(tautology,[status(thm)],[])).
% 9.28/6.83 tff(24552,plain,
% 9.28/6.83 (v108(constB181) | v119(constB181)),
% 9.28/6.83 inference(unit_resolution,[status(thm)],[24551, 24550])).
% 9.28/6.83 tff(24553,plain,
% 9.28/6.83 ((~(v107(constB181) <=> (v108(constB181) | v119(constB181)))) | v107(constB181) | (~(v108(constB181) | v119(constB181)))),
% 9.28/6.83 inference(tautology,[status(thm)],[])).
% 9.28/6.83 tff(24554,plain,
% 9.28/6.83 (v107(constB181)),
% 9.28/6.83 inference(unit_resolution,[status(thm)],[24553, 24552, 1498])).
% 9.28/6.83 tff(24555,plain,
% 9.28/6.83 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB181)) <=> v105(constB181))),
% 9.28/6.83 inference(quant_inst,[status(thm)],[])).
% 9.28/6.83 tff(24556,plain,
% 9.28/6.83 ((~v120(constB181)) <=> v105(constB181)),
% 9.28/6.83 inference(unit_resolution,[status(thm)],[24555, 9842])).
% 9.28/6.83 tff(24557,plain,
% 9.28/6.83 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB181) <=> v26(constB181))),
% 9.28/6.83 inference(quant_inst,[status(thm)],[])).
% 9.28/6.83 tff(24558,plain,
% 9.28/6.83 (v105(constB181) <=> v26(constB181)),
% 9.28/6.83 inference(unit_resolution,[status(thm)],[24557, 9854])).
% 9.28/6.83 tff(24559,plain,
% 9.28/6.83 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB181))),
% 9.28/6.83 inference(quant_inst,[status(thm)],[])).
% 9.28/6.83 tff(24560,plain,
% 9.28/6.83 (~v26(constB181)),
% 9.28/6.83 inference(unit_resolution,[status(thm)],[24559, 9866])).
% 9.28/6.83 tff(24561,plain,
% 9.28/6.83 ((~(v105(constB181) <=> v26(constB181))) | (~v105(constB181)) | v26(constB181)),
% 9.28/6.83 inference(tautology,[status(thm)],[])).
% 9.28/6.83 tff(24562,plain,
% 9.28/6.83 ((~(v105(constB181) <=> v26(constB181))) | (~v105(constB181))),
% 9.28/6.83 inference(unit_resolution,[status(thm)],[24561, 24560])).
% 9.28/6.83 tff(24563,plain,
% 9.28/6.83 (~v105(constB181)),
% 9.28/6.83 inference(unit_resolution,[status(thm)],[24562, 24558])).
% 9.28/6.83 tff(24564,plain,
% 9.28/6.83 ((~((~v120(constB181)) <=> v105(constB181))) | v120(constB181) | v105(constB181)),
% 9.28/6.83 inference(tautology,[status(thm)],[])).
% 9.28/6.83 tff(24565,plain,
% 9.28/6.83 ((~((~v120(constB181)) <=> v105(constB181))) | v120(constB181)),
% 9.28/6.83 inference(unit_resolution,[status(thm)],[24564, 24563])).
% 9.28/6.83 tff(24566,plain,
% 9.28/6.83 (v120(constB181)),
% 9.28/6.83 inference(unit_resolution,[status(thm)],[24565, 24556])).
% 9.28/6.83 tff(24567,plain,
% 9.28/6.83 ((~((~v107(constB181)) | (~v120(constB181)))) | (~v107(constB181)) | (~v120(constB181))),
% 9.28/6.83 inference(tautology,[status(thm)],[])).
% 9.28/6.83 tff(24568,plain,
% 9.28/6.83 ((~((~v107(constB181)) | (~v120(constB181)))) | (~v107(constB181))),
% 9.28/6.83 inference(unit_resolution,[status(thm)],[24567, 24566])).
% 9.28/6.83 tff(24569,plain,
% 9.28/6.83 (~((~v107(constB181)) | (~v120(constB181)))),
% 9.28/6.83 inference(unit_resolution,[status(thm)],[24568, 24554])).
% 9.28/6.83 tff(24570,plain,
% 9.28/6.83 ((~(v106(constB181) <=> (~((~v107(constB181)) | (~v120(constB181)))))) | v106(constB181) | ((~v107(constB181)) | (~v120(constB181)))),
% 9.28/6.83 inference(tautology,[status(thm)],[])).
% 9.28/6.83 tff(24571,plain,
% 9.28/6.83 (v106(constB181)),
% 9.28/6.83 inference(unit_resolution,[status(thm)],[24570, 24569, 1496])).
% 9.28/6.83 tff(24572,plain,
% 9.28/6.83 ((v105(constB181) | v106(constB181)) | (~v106(constB181))),
% 9.28/6.83 inference(tautology,[status(thm)],[])).
% 9.28/6.83 tff(24573,plain,
% 9.28/6.83 (v105(constB181) | v106(constB181)),
% 9.28/6.83 inference(unit_resolution,[status(thm)],[24572, 24571])).
% 9.28/6.83 tff(24574,plain,
% 9.28/6.83 ((~(v102(constB181) <=> (v105(constB181) | v106(constB181)))) | v102(constB181) | (~(v105(constB181) | v106(constB181)))),
% 9.28/6.83 inference(tautology,[status(thm)],[])).
% 9.28/6.83 tff(24575,plain,
% 9.28/6.83 (v102(constB181)),
% 9.28/6.83 inference(unit_resolution,[status(thm)],[24574, 24573, 1494])).
% 9.28/6.83 tff(24576,plain,
% 9.28/6.83 ((~(v104(constB182) <=> v102(constB181))) | v104(constB182) | (~v102(constB181))),
% 9.28/6.83 inference(tautology,[status(thm)],[])).
% 9.28/6.83 tff(24577,plain,
% 9.28/6.83 (v104(constB182)),
% 9.28/6.83 inference(unit_resolution,[status(thm)],[24576, 24575, 1492])).
% 9.28/6.83 tff(24578,plain,
% 9.28/6.83 ((~((~v104(constB182)) | (~v95(constB182)))) | (~v104(constB182)) | (~v95(constB182))),
% 9.28/6.83 inference(tautology,[status(thm)],[])).
% 9.28/6.83 tff(24579,plain,
% 9.28/6.83 (~((~v104(constB182)) | (~v95(constB182)))),
% 9.28/6.83 inference(unit_resolution,[status(thm)],[24578, 24577, 1488])).
% 9.28/6.83 tff(24580,plain,
% 9.28/6.83 ((~(v94(constB182) <=> (~((~v104(constB182)) | (~v95(constB182)))))) | v94(constB182) | ((~v104(constB182)) | (~v95(constB182)))),
% 9.28/6.83 inference(tautology,[status(thm)],[])).
% 9.28/6.83 tff(24581,plain,
% 9.28/6.83 (v94(constB182)),
% 9.28/6.83 inference(unit_resolution,[status(thm)],[24580, 24579, 1457])).
% 9.28/6.83 tff(24582,plain,
% 9.28/6.83 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB182)) | ![B: $i] : ((~less_3(B)) | (v84(constB182, B) <=> v123(constB182, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB182)) | ![B: $i] : ((~less_3(B)) | (v84(constB182, B) <=> v123(constB182, B))))),
% 9.28/6.83 inference(rewrite,[status(thm)],[])).
% 9.28/6.83 tff(24583,plain,
% 9.28/6.83 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB182)) | ![B: $i] : ((~less_3(B)) | (v84(constB182, B) <=> v123(constB182, B))))),
% 9.28/6.83 inference(quant_inst,[status(thm)],[])).
% 9.28/6.83 tff(24584,plain,
% 9.28/6.83 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB182)) | ![B: $i] : ((~less_3(B)) | (v84(constB182, B) <=> v123(constB182, B)))),
% 9.28/6.83 inference(modus_ponens,[status(thm)],[24583, 24582])).
% 9.28/6.83 tff(24585,plain,
% 9.28/6.83 ((~v94(constB182)) | ![B: $i] : ((~less_3(B)) | (v84(constB182, B) <=> v123(constB182, B)))),
% 9.28/6.83 inference(unit_resolution,[status(thm)],[24584, 9902])).
% 9.28/6.83 tff(24586,plain,
% 9.28/6.83 (![B: $i] : ((~less_3(B)) | (v84(constB182, B) <=> v123(constB182, B)))),
% 9.28/6.83 inference(unit_resolution,[status(thm)],[24585, 24581])).
% 9.28/6.83 tff(24587,plain,
% 9.28/6.83 (((~![B: $i] : ((~less_3(B)) | (v84(constB182, B) <=> v123(constB182, B)))) | ((~less_3(bitIndex2)) | (v84(constB182, bitIndex2) <=> v123(constB182, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB182, B) <=> v123(constB182, B)))) | (~less_3(bitIndex2)) | (v84(constB182, bitIndex2) <=> v123(constB182, bitIndex2)))),
% 9.28/6.83 inference(rewrite,[status(thm)],[])).
% 9.28/6.83 tff(24588,plain,
% 9.28/6.83 ((~![B: $i] : ((~less_3(B)) | (v84(constB182, B) <=> v123(constB182, B)))) | ((~less_3(bitIndex2)) | (v84(constB182, bitIndex2) <=> v123(constB182, bitIndex2)))),
% 9.28/6.83 inference(quant_inst,[status(thm)],[])).
% 9.28/6.83 tff(24589,plain,
% 9.28/6.83 ((~![B: $i] : ((~less_3(B)) | (v84(constB182, B) <=> v123(constB182, B)))) | (~less_3(bitIndex2)) | (v84(constB182, bitIndex2) <=> v123(constB182, bitIndex2))),
% 9.28/6.83 inference(modus_ponens,[status(thm)],[24588, 24587])).
% 9.28/6.83 tff(24590,plain,
% 9.28/6.83 (v84(constB182, bitIndex2) <=> v123(constB182, bitIndex2)),
% 9.28/6.83 inference(unit_resolution,[status(thm)],[24589, 832, 24586])).
% 9.28/6.83 tff(24591,plain,
% 9.28/6.83 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB181, constB182)) | ![B: $i] : ((~less_3(B)) | (v123(constB182, B) <=> v121(constB181, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB181, constB182)) | ![B: $i] : ((~less_3(B)) | (v123(constB182, B) <=> v121(constB181, B))))),
% 9.28/6.83 inference(rewrite,[status(thm)],[])).
% 9.28/6.83 tff(24592,plain,
% 9.28/6.83 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB181, constB182)) | ![B: $i] : ((~less_3(B)) | (v123(constB182, B) <=> v121(constB181, B))))),
% 9.28/6.83 inference(quant_inst,[status(thm)],[])).
% 9.28/6.83 tff(24593,plain,
% 9.28/6.83 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB181, constB182)) | ![B: $i] : ((~less_3(B)) | (v123(constB182, B) <=> v121(constB181, B)))),
% 9.28/6.83 inference(modus_ponens,[status(thm)],[24592, 24591])).
% 9.28/6.83 tff(24594,plain,
% 9.28/6.83 (![B: $i] : ((~less_3(B)) | (v123(constB182, B) <=> v121(constB181, B)))),
% 9.28/6.83 inference(unit_resolution,[status(thm)],[24593, 1453, 9924])).
% 9.28/6.83 tff(24595,plain,
% 9.28/6.83 (((~![B: $i] : ((~less_3(B)) | (v123(constB182, B) <=> v121(constB181, B)))) | ((~less_3(bitIndex2)) | (v123(constB182, bitIndex2) <=> v121(constB181, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB182, B) <=> v121(constB181, B)))) | (~less_3(bitIndex2)) | (v123(constB182, bitIndex2) <=> v121(constB181, bitIndex2)))),
% 9.28/6.83 inference(rewrite,[status(thm)],[])).
% 9.28/6.83 tff(24596,plain,
% 9.28/6.83 ((~![B: $i] : ((~less_3(B)) | (v123(constB182, B) <=> v121(constB181, B)))) | ((~less_3(bitIndex2)) | (v123(constB182, bitIndex2) <=> v121(constB181, bitIndex2)))),
% 9.28/6.83 inference(quant_inst,[status(thm)],[])).
% 9.28/6.83 tff(24597,plain,
% 9.28/6.83 ((~![B: $i] : ((~less_3(B)) | (v123(constB182, B) <=> v121(constB181, B)))) | (~less_3(bitIndex2)) | (v123(constB182, bitIndex2) <=> v121(constB181, bitIndex2))),
% 9.28/6.83 inference(modus_ponens,[status(thm)],[24596, 24595])).
% 9.28/6.83 tff(24598,plain,
% 9.28/6.83 (v123(constB182, bitIndex2) <=> v121(constB181, bitIndex2)),
% 9.28/6.83 inference(unit_resolution,[status(thm)],[24597, 832, 24594])).
% 9.28/6.83 tff(24599,plain,
% 9.28/6.83 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB181) | ![B: $i] : ((~less_3(B)) | (v121(constB181, B) <=> v124(constB181, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB181) | ![B: $i] : ((~less_3(B)) | (v121(constB181, B) <=> v124(constB181, B))))),
% 9.28/6.83 inference(rewrite,[status(thm)],[])).
% 9.28/6.83 tff(24600,plain,
% 9.28/6.83 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB181) | ![B: $i] : ((~less_3(B)) | (v121(constB181, B) <=> v124(constB181, B))))),
% 9.28/6.83 inference(quant_inst,[status(thm)],[])).
% 9.28/6.83 tff(24601,plain,
% 9.28/6.83 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB181) | ![B: $i] : ((~less_3(B)) | (v121(constB181, B) <=> v124(constB181, B)))),
% 9.28/6.83 inference(modus_ponens,[status(thm)],[24600, 24599])).
% 9.28/6.83 tff(24602,plain,
% 9.28/6.83 (![B: $i] : ((~less_3(B)) | (v121(constB181, B) <=> v124(constB181, B)))),
% 9.28/6.83 inference(unit_resolution,[status(thm)],[24601, 9945, 24563])).
% 9.28/6.83 tff(24603,plain,
% 9.28/6.83 (((~![B: $i] : ((~less_3(B)) | (v121(constB181, B) <=> v124(constB181, B)))) | ((~less_3(bitIndex2)) | (v121(constB181, bitIndex2) <=> v124(constB181, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB181, B) <=> v124(constB181, B)))) | (~less_3(bitIndex2)) | (v121(constB181, bitIndex2) <=> v124(constB181, bitIndex2)))),
% 9.28/6.83 inference(rewrite,[status(thm)],[])).
% 9.28/6.83 tff(24604,plain,
% 9.28/6.83 ((~![B: $i] : ((~less_3(B)) | (v121(constB181, B) <=> v124(constB181, B)))) | ((~less_3(bitIndex2)) | (v121(constB181, bitIndex2) <=> v124(constB181, bitIndex2)))),
% 9.28/6.83 inference(quant_inst,[status(thm)],[])).
% 9.28/6.83 tff(24605,plain,
% 9.28/6.83 ((~![B: $i] : ((~less_3(B)) | (v121(constB181, B) <=> v124(constB181, B)))) | (~less_3(bitIndex2)) | (v121(constB181, bitIndex2) <=> v124(constB181, bitIndex2))),
% 9.28/6.83 inference(modus_ponens,[status(thm)],[24604, 24603])).
% 9.28/6.83 tff(24606,plain,
% 9.28/6.83 (v121(constB181, bitIndex2) <=> v124(constB181, bitIndex2)),
% 9.28/6.83 inference(unit_resolution,[status(thm)],[24605, 832, 24602])).
% 9.28/6.83 tff(24607,plain,
% 9.28/6.83 ((~![VarCurr: $i] : (v113(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2))))) | (v113(constB181) <=> (~(v84(constB181, bitIndex0) | v84(constB181, bitIndex1) | v84(constB181, bitIndex2))))),
% 9.28/6.83 inference(quant_inst,[status(thm)],[])).
% 9.28/6.83 tff(24608,plain,
% 9.28/6.83 (v113(constB181) <=> (~(v84(constB181, bitIndex0) | v84(constB181, bitIndex1) | v84(constB181, bitIndex2)))),
% 9.28/6.83 inference(unit_resolution,[status(thm)],[24607, 9739])).
% 9.28/6.83 tff(24609,plain,
% 9.28/6.83 ((v84(constB181, bitIndex0) | v84(constB181, bitIndex1) | v84(constB181, bitIndex2)) | (~v84(constB181, bitIndex2))),
% 9.28/6.83 inference(tautology,[status(thm)],[])).
% 9.28/6.83 tff(24610,plain,
% 9.28/6.83 (v84(constB181, bitIndex0) | v84(constB181, bitIndex1) | v84(constB181, bitIndex2)),
% 9.28/6.83 inference(unit_resolution,[status(thm)],[24609, 24484])).
% 9.28/6.83 tff(24611,plain,
% 9.28/6.83 ((~(v113(constB181) <=> (~(v84(constB181, bitIndex0) | v84(constB181, bitIndex1) | v84(constB181, bitIndex2))))) | (~v113(constB181)) | (~(v84(constB181, bitIndex0) | v84(constB181, bitIndex1) | v84(constB181, bitIndex2)))),
% 9.28/6.83 inference(tautology,[status(thm)],[])).
% 9.28/6.83 tff(24612,plain,
% 9.28/6.83 (~v113(constB181)),
% 9.28/6.83 inference(unit_resolution,[status(thm)],[24611, 24610, 24608])).
% 9.28/6.83 tff(24613,plain,
% 9.28/6.83 (((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB181) <=> (~((~v84(constB181, bitIndex2)) | v84(constB181, bitIndex1) | (~v84(constB181, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB181) <=> (~((~v84(constB181, bitIndex2)) | v84(constB181, bitIndex1) | (~v84(constB181, bitIndex0))))))),
% 9.28/6.83 inference(rewrite,[status(thm)],[])).
% 9.28/6.83 tff(24614,plain,
% 9.28/6.83 ((v118(constB181) <=> (~(v84(constB181, bitIndex1) | (~v84(constB181, bitIndex0)) | (~v84(constB181, bitIndex2))))) <=> (v118(constB181) <=> (~((~v84(constB181, bitIndex2)) | v84(constB181, bitIndex1) | (~v84(constB181, bitIndex0)))))),
% 9.28/6.83 inference(rewrite,[status(thm)],[])).
% 9.28/6.83 tff(24615,plain,
% 9.28/6.83 (((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB181) <=> (~(v84(constB181, bitIndex1) | (~v84(constB181, bitIndex0)) | (~v84(constB181, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB181) <=> (~((~v84(constB181, bitIndex2)) | v84(constB181, bitIndex1) | (~v84(constB181, bitIndex0))))))),
% 9.28/6.83 inference(monotonicity,[status(thm)],[24614])).
% 9.28/6.83 tff(24616,plain,
% 9.28/6.83 (((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB181) <=> (~(v84(constB181, bitIndex1) | (~v84(constB181, bitIndex0)) | (~v84(constB181, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB181) <=> (~((~v84(constB181, bitIndex2)) | v84(constB181, bitIndex1) | (~v84(constB181, bitIndex0))))))),
% 9.28/6.83 inference(transitivity,[status(thm)],[24615, 24613])).
% 9.28/6.83 tff(24617,plain,
% 9.28/6.83 ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB181) <=> (~(v84(constB181, bitIndex1) | (~v84(constB181, bitIndex0)) | (~v84(constB181, bitIndex2)))))),
% 9.28/6.83 inference(quant_inst,[status(thm)],[])).
% 9.28/6.83 tff(24618,plain,
% 9.28/6.83 ((~![VarCurr: $i] : (v118(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex0)) | (~v84(VarCurr, bitIndex2)))))) | (v118(constB181) <=> (~((~v84(constB181, bitIndex2)) | v84(constB181, bitIndex1) | (~v84(constB181, bitIndex0)))))),
% 9.28/6.83 inference(modus_ponens,[status(thm)],[24617, 24616])).
% 9.28/6.83 tff(24619,plain,
% 9.28/6.83 (v118(constB181) <=> (~((~v84(constB181, bitIndex2)) | v84(constB181, bitIndex1) | (~v84(constB181, bitIndex0))))),
% 9.28/6.83 inference(unit_resolution,[status(thm)],[24618, 960])).
% 9.28/6.83 tff(24620,plain,
% 9.28/6.83 (((~v84(constB181, bitIndex2)) | v84(constB181, bitIndex1) | (~v84(constB181, bitIndex0))) | (~v84(constB181, bitIndex1))),
% 9.28/6.83 inference(tautology,[status(thm)],[])).
% 9.28/6.83 tff(24621,plain,
% 9.28/6.84 ((~v84(constB181, bitIndex2)) | v84(constB181, bitIndex1) | (~v84(constB181, bitIndex0))),
% 9.28/6.84 inference(unit_resolution,[status(thm)],[24620, 24546])).
% 9.28/6.84 tff(24622,plain,
% 9.28/6.84 ((~(v118(constB181) <=> (~((~v84(constB181, bitIndex2)) | v84(constB181, bitIndex1) | (~v84(constB181, bitIndex0)))))) | (~v118(constB181)) | (~((~v84(constB181, bitIndex2)) | v84(constB181, bitIndex1) | (~v84(constB181, bitIndex0))))),
% 9.28/6.84 inference(tautology,[status(thm)],[])).
% 9.28/6.84 tff(24623,plain,
% 9.28/6.84 (~v118(constB181)),
% 9.28/6.84 inference(unit_resolution,[status(thm)],[24622, 24621, 24619])).
% 9.28/6.84 tff(24624,plain,
% 9.28/6.84 (((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB181) <=> (~((~v84(constB181, bitIndex2)) | v84(constB181, bitIndex1) | v84(constB181, bitIndex0))))) <=> ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB181) <=> (~((~v84(constB181, bitIndex2)) | v84(constB181, bitIndex1) | v84(constB181, bitIndex0)))))),
% 9.28/6.84 inference(rewrite,[status(thm)],[])).
% 9.28/6.84 tff(24625,plain,
% 9.28/6.84 ((v117(constB181) <=> (~(v84(constB181, bitIndex0) | v84(constB181, bitIndex1) | (~v84(constB181, bitIndex2))))) <=> (v117(constB181) <=> (~((~v84(constB181, bitIndex2)) | v84(constB181, bitIndex1) | v84(constB181, bitIndex0))))),
% 9.28/6.84 inference(rewrite,[status(thm)],[])).
% 9.28/6.84 tff(24626,plain,
% 9.28/6.84 (((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB181) <=> (~(v84(constB181, bitIndex0) | v84(constB181, bitIndex1) | (~v84(constB181, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB181) <=> (~((~v84(constB181, bitIndex2)) | v84(constB181, bitIndex1) | v84(constB181, bitIndex0)))))),
% 9.28/6.84 inference(monotonicity,[status(thm)],[24625])).
% 9.28/6.84 tff(24627,plain,
% 9.28/6.84 (((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB181) <=> (~(v84(constB181, bitIndex0) | v84(constB181, bitIndex1) | (~v84(constB181, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB181) <=> (~((~v84(constB181, bitIndex2)) | v84(constB181, bitIndex1) | v84(constB181, bitIndex0)))))),
% 9.28/6.84 inference(transitivity,[status(thm)],[24626, 24624])).
% 9.28/6.84 tff(24628,plain,
% 9.28/6.84 ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB181) <=> (~(v84(constB181, bitIndex0) | v84(constB181, bitIndex1) | (~v84(constB181, bitIndex2)))))),
% 9.28/6.84 inference(quant_inst,[status(thm)],[])).
% 9.28/6.84 tff(24629,plain,
% 9.28/6.84 ((~![VarCurr: $i] : (v117(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v117(constB181) <=> (~((~v84(constB181, bitIndex2)) | v84(constB181, bitIndex1) | v84(constB181, bitIndex0))))),
% 9.28/6.84 inference(modus_ponens,[status(thm)],[24628, 24627])).
% 9.28/6.84 tff(24630,plain,
% 9.28/6.84 (v117(constB181) <=> (~((~v84(constB181, bitIndex2)) | v84(constB181, bitIndex1) | v84(constB181, bitIndex0)))),
% 9.28/6.84 inference(unit_resolution,[status(thm)],[24629, 1071])).
% 9.28/6.84 tff(24631,plain,
% 9.28/6.84 (((~v84(constB181, bitIndex2)) | v84(constB181, bitIndex1) | v84(constB181, bitIndex0)) | (~v84(constB181, bitIndex1))),
% 9.28/6.84 inference(tautology,[status(thm)],[])).
% 9.28/6.84 tff(24632,plain,
% 9.28/6.84 ((~v84(constB181, bitIndex2)) | v84(constB181, bitIndex1) | v84(constB181, bitIndex0)),
% 9.28/6.84 inference(unit_resolution,[status(thm)],[24631, 24546])).
% 9.28/6.84 tff(24633,plain,
% 9.28/6.84 ((~(v117(constB181) <=> (~((~v84(constB181, bitIndex2)) | v84(constB181, bitIndex1) | v84(constB181, bitIndex0))))) | (~v117(constB181)) | (~((~v84(constB181, bitIndex2)) | v84(constB181, bitIndex1) | v84(constB181, bitIndex0)))),
% 9.28/6.84 inference(tautology,[status(thm)],[])).
% 9.28/6.84 tff(24634,plain,
% 9.28/6.84 (~v117(constB181)),
% 9.28/6.84 inference(unit_resolution,[status(thm)],[24633, 24632, 24630])).
% 9.28/6.84 tff(24635,plain,
% 9.28/6.84 ((~![VarCurr: $i] : (v116(VarCurr) <=> (~(v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)) | (~v84(VarCurr, bitIndex0)))))) | (v116(constB181) <=> (~(v84(constB181, bitIndex2) | (~v84(constB181, bitIndex1)) | (~v84(constB181, bitIndex0)))))),
% 9.28/6.84 inference(quant_inst,[status(thm)],[])).
% 9.28/6.84 tff(24636,plain,
% 9.28/6.84 (v116(constB181) <=> (~(v84(constB181, bitIndex2) | (~v84(constB181, bitIndex1)) | (~v84(constB181, bitIndex0))))),
% 9.28/6.84 inference(unit_resolution,[status(thm)],[24635, 1184])).
% 9.28/6.84 tff(24637,plain,
% 9.28/6.84 ((v84(constB181, bitIndex2) | (~v84(constB181, bitIndex1)) | (~v84(constB181, bitIndex0))) | (~v84(constB181, bitIndex2))),
% 9.28/6.84 inference(tautology,[status(thm)],[])).
% 9.28/6.84 tff(24638,plain,
% 9.28/6.84 (v84(constB181, bitIndex2) | (~v84(constB181, bitIndex1)) | (~v84(constB181, bitIndex0))),
% 9.28/6.84 inference(unit_resolution,[status(thm)],[24637, 24484])).
% 9.28/6.84 tff(24639,plain,
% 9.28/6.84 ((~(v116(constB181) <=> (~(v84(constB181, bitIndex2) | (~v84(constB181, bitIndex1)) | (~v84(constB181, bitIndex0)))))) | (~v116(constB181)) | (~(v84(constB181, bitIndex2) | (~v84(constB181, bitIndex1)) | (~v84(constB181, bitIndex0))))),
% 9.28/6.84 inference(tautology,[status(thm)],[])).
% 9.28/6.84 tff(24640,plain,
% 9.28/6.84 (~v116(constB181)),
% 9.28/6.84 inference(unit_resolution,[status(thm)],[24639, 24638, 24636])).
% 9.28/6.84 tff(24641,plain,
% 9.28/6.84 (((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB181) <=> (~(v84(constB181, bitIndex2) | (~v84(constB181, bitIndex1)) | v84(constB181, bitIndex0))))) <=> ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB181) <=> (~(v84(constB181, bitIndex2) | (~v84(constB181, bitIndex1)) | v84(constB181, bitIndex0)))))),
% 9.28/6.84 inference(rewrite,[status(thm)],[])).
% 9.28/6.84 tff(24642,plain,
% 9.28/6.84 ((v115(constB181) <=> (~(v84(constB181, bitIndex0) | v84(constB181, bitIndex2) | (~v84(constB181, bitIndex1))))) <=> (v115(constB181) <=> (~(v84(constB181, bitIndex2) | (~v84(constB181, bitIndex1)) | v84(constB181, bitIndex0))))),
% 9.28/6.84 inference(rewrite,[status(thm)],[])).
% 9.28/6.84 tff(24643,plain,
% 9.28/6.84 (((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB181) <=> (~(v84(constB181, bitIndex0) | v84(constB181, bitIndex2) | (~v84(constB181, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB181) <=> (~(v84(constB181, bitIndex2) | (~v84(constB181, bitIndex1)) | v84(constB181, bitIndex0)))))),
% 9.28/6.84 inference(monotonicity,[status(thm)],[24642])).
% 9.28/6.84 tff(24644,plain,
% 9.28/6.84 (((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB181) <=> (~(v84(constB181, bitIndex0) | v84(constB181, bitIndex2) | (~v84(constB181, bitIndex1)))))) <=> ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB181) <=> (~(v84(constB181, bitIndex2) | (~v84(constB181, bitIndex1)) | v84(constB181, bitIndex0)))))),
% 9.28/6.84 inference(transitivity,[status(thm)],[24643, 24641])).
% 9.28/6.84 tff(24645,plain,
% 9.28/6.84 ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB181) <=> (~(v84(constB181, bitIndex0) | v84(constB181, bitIndex2) | (~v84(constB181, bitIndex1)))))),
% 9.28/6.84 inference(quant_inst,[status(thm)],[])).
% 9.28/6.84 tff(24646,plain,
% 9.28/6.84 ((~![VarCurr: $i] : (v115(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex1)))))) | (v115(constB181) <=> (~(v84(constB181, bitIndex2) | (~v84(constB181, bitIndex1)) | v84(constB181, bitIndex0))))),
% 9.28/6.84 inference(modus_ponens,[status(thm)],[24645, 24644])).
% 9.28/6.84 tff(24647,plain,
% 9.28/6.84 (v115(constB181) <=> (~(v84(constB181, bitIndex2) | (~v84(constB181, bitIndex1)) | v84(constB181, bitIndex0)))),
% 9.28/6.84 inference(unit_resolution,[status(thm)],[24646, 1294])).
% 9.28/6.84 tff(24648,plain,
% 9.28/6.84 ((v84(constB181, bitIndex2) | (~v84(constB181, bitIndex1)) | v84(constB181, bitIndex0)) | (~v84(constB181, bitIndex2))),
% 9.28/6.84 inference(tautology,[status(thm)],[])).
% 9.28/6.84 tff(24649,plain,
% 9.28/6.84 (v84(constB181, bitIndex2) | (~v84(constB181, bitIndex1)) | v84(constB181, bitIndex0)),
% 9.28/6.84 inference(unit_resolution,[status(thm)],[24648, 24484])).
% 9.28/6.84 tff(24650,plain,
% 9.28/6.84 ((~(v115(constB181) <=> (~(v84(constB181, bitIndex2) | (~v84(constB181, bitIndex1)) | v84(constB181, bitIndex0))))) | (~v115(constB181)) | (~(v84(constB181, bitIndex2) | (~v84(constB181, bitIndex1)) | v84(constB181, bitIndex0)))),
% 9.28/6.84 inference(tautology,[status(thm)],[])).
% 9.28/6.84 tff(24651,plain,
% 9.28/6.84 (~v115(constB181)),
% 9.28/6.84 inference(unit_resolution,[status(thm)],[24650, 24649, 24647])).
% 9.28/6.84 tff(24652,plain,
% 9.28/6.84 (((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB181) <=> (~(v84(constB181, bitIndex2) | v84(constB181, bitIndex1) | (~v84(constB181, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB181) <=> (~(v84(constB181, bitIndex2) | v84(constB181, bitIndex1) | (~v84(constB181, bitIndex0))))))),
% 9.28/6.84 inference(rewrite,[status(thm)],[])).
% 9.28/6.84 tff(24653,plain,
% 9.28/6.84 ((v114(constB181) <=> (~(v84(constB181, bitIndex1) | v84(constB181, bitIndex2) | (~v84(constB181, bitIndex0))))) <=> (v114(constB181) <=> (~(v84(constB181, bitIndex2) | v84(constB181, bitIndex1) | (~v84(constB181, bitIndex0)))))),
% 9.28/6.84 inference(rewrite,[status(thm)],[])).
% 9.28/6.84 tff(24654,plain,
% 9.28/6.84 (((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB181) <=> (~(v84(constB181, bitIndex1) | v84(constB181, bitIndex2) | (~v84(constB181, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB181) <=> (~(v84(constB181, bitIndex2) | v84(constB181, bitIndex1) | (~v84(constB181, bitIndex0))))))),
% 9.28/6.84 inference(monotonicity,[status(thm)],[24653])).
% 9.28/6.84 tff(24655,plain,
% 9.28/6.84 (((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB181) <=> (~(v84(constB181, bitIndex1) | v84(constB181, bitIndex2) | (~v84(constB181, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB181) <=> (~(v84(constB181, bitIndex2) | v84(constB181, bitIndex1) | (~v84(constB181, bitIndex0))))))),
% 9.28/6.84 inference(transitivity,[status(thm)],[24654, 24652])).
% 9.28/6.84 tff(24656,plain,
% 9.28/6.84 ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB181) <=> (~(v84(constB181, bitIndex1) | v84(constB181, bitIndex2) | (~v84(constB181, bitIndex0)))))),
% 9.28/6.84 inference(quant_inst,[status(thm)],[])).
% 9.28/6.84 tff(24657,plain,
% 9.28/6.84 ((~![VarCurr: $i] : (v114(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v114(constB181) <=> (~(v84(constB181, bitIndex2) | v84(constB181, bitIndex1) | (~v84(constB181, bitIndex0)))))),
% 9.28/6.84 inference(modus_ponens,[status(thm)],[24656, 24655])).
% 9.28/6.84 tff(24658,plain,
% 9.28/6.84 (v114(constB181) <=> (~(v84(constB181, bitIndex2) | v84(constB181, bitIndex1) | (~v84(constB181, bitIndex0))))),
% 9.28/6.84 inference(unit_resolution,[status(thm)],[24657, 1411])).
% 9.28/6.84 tff(24659,plain,
% 9.28/6.84 ((v84(constB181, bitIndex2) | v84(constB181, bitIndex1) | (~v84(constB181, bitIndex0))) | (~v84(constB181, bitIndex2))),
% 9.28/6.84 inference(tautology,[status(thm)],[])).
% 9.28/6.84 tff(24660,plain,
% 9.28/6.84 (v84(constB181, bitIndex2) | v84(constB181, bitIndex1) | (~v84(constB181, bitIndex0))),
% 9.28/6.84 inference(unit_resolution,[status(thm)],[24659, 24484])).
% 9.28/6.84 tff(24661,plain,
% 9.28/6.84 ((~(v114(constB181) <=> (~(v84(constB181, bitIndex2) | v84(constB181, bitIndex1) | (~v84(constB181, bitIndex0)))))) | (~v114(constB181)) | (~(v84(constB181, bitIndex2) | v84(constB181, bitIndex1) | (~v84(constB181, bitIndex0))))),
% 9.28/6.84 inference(tautology,[status(thm)],[])).
% 9.28/6.84 tff(24662,plain,
% 9.28/6.84 (~v114(constB181)),
% 9.28/6.84 inference(unit_resolution,[status(thm)],[24661, 24660, 24658])).
% 9.28/6.84 tff(24663,plain,
% 9.28/6.84 (((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | (v113(constB181) | v114(constB181) | v115(constB181) | v116(constB181) | v117(constB181) | v118(constB181) | ![B: $i] : ((~less_3(B)) | (v124(constB181, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | v113(constB181) | v114(constB181) | v115(constB181) | v116(constB181) | v117(constB181) | v118(constB181) | ![B: $i] : ((~less_3(B)) | (v124(constB181, B) <=> b001(B))))),
% 9.28/6.84 inference(rewrite,[status(thm)],[])).
% 9.28/6.84 tff(24664,plain,
% 9.28/6.84 ((v118(constB181) | v117(constB181) | v116(constB181) | v115(constB181) | v114(constB181) | v113(constB181) | ![B: $i] : ((~less_3(B)) | (v124(constB181, B) <=> b001(B)))) <=> (v113(constB181) | v114(constB181) | v115(constB181) | v116(constB181) | v117(constB181) | v118(constB181) | ![B: $i] : ((~less_3(B)) | (v124(constB181, B) <=> b001(B))))),
% 9.28/6.84 inference(rewrite,[status(thm)],[])).
% 9.28/6.84 tff(24665,plain,
% 9.28/6.84 (((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | (v118(constB181) | v117(constB181) | v116(constB181) | v115(constB181) | v114(constB181) | v113(constB181) | ![B: $i] : ((~less_3(B)) | (v124(constB181, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | (v113(constB181) | v114(constB181) | v115(constB181) | v116(constB181) | v117(constB181) | v118(constB181) | ![B: $i] : ((~less_3(B)) | (v124(constB181, B) <=> b001(B)))))),
% 9.28/6.84 inference(monotonicity,[status(thm)],[24664])).
% 9.28/6.84 tff(24666,plain,
% 9.28/6.84 (((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | (v118(constB181) | v117(constB181) | v116(constB181) | v115(constB181) | v114(constB181) | v113(constB181) | ![B: $i] : ((~less_3(B)) | (v124(constB181, B) <=> b001(B))))) <=> ((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | v113(constB181) | v114(constB181) | v115(constB181) | v116(constB181) | v117(constB181) | v118(constB181) | ![B: $i] : ((~less_3(B)) | (v124(constB181, B) <=> b001(B))))),
% 9.28/6.84 inference(transitivity,[status(thm)],[24665, 24663])).
% 9.28/6.84 tff(24667,plain,
% 9.28/6.84 ((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | (v118(constB181) | v117(constB181) | v116(constB181) | v115(constB181) | v114(constB181) | v113(constB181) | ![B: $i] : ((~less_3(B)) | (v124(constB181, B) <=> b001(B))))),
% 9.28/6.84 inference(quant_inst,[status(thm)],[])).
% 9.28/6.84 tff(24668,plain,
% 9.28/6.84 ((~![VarCurr: $i] : (v118(VarCurr) | v117(VarCurr) | v116(VarCurr) | v115(VarCurr) | v114(VarCurr) | v113(VarCurr) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b001(B))))) | v113(constB181) | v114(constB181) | v115(constB181) | v116(constB181) | v117(constB181) | v118(constB181) | ![B: $i] : ((~less_3(B)) | (v124(constB181, B) <=> b001(B)))),
% 9.28/6.84 inference(modus_ponens,[status(thm)],[24667, 24666])).
% 9.28/6.84 tff(24669,plain,
% 9.28/6.84 (v113(constB181) | v114(constB181) | v115(constB181) | v116(constB181) | v117(constB181) | v118(constB181) | ![B: $i] : ((~less_3(B)) | (v124(constB181, B) <=> b001(B)))),
% 9.28/6.84 inference(unit_resolution,[status(thm)],[24668, 11068])).
% 9.28/6.84 tff(24670,plain,
% 9.28/6.84 (![B: $i] : ((~less_3(B)) | (v124(constB181, B) <=> b001(B)))),
% 9.28/6.84 inference(unit_resolution,[status(thm)],[24669, 24662, 24651, 24640, 24634, 24623, 24612])).
% 9.28/6.84 tff(24671,plain,
% 9.28/6.84 (((~![B: $i] : ((~less_3(B)) | (v124(constB181, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v124(constB181, bitIndex2) <=> b001(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB181, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v124(constB181, bitIndex2) <=> b001(bitIndex2)))),
% 9.28/6.84 inference(rewrite,[status(thm)],[])).
% 9.28/6.84 tff(24672,plain,
% 9.28/6.84 ((~![B: $i] : ((~less_3(B)) | (v124(constB181, B) <=> b001(B)))) | ((~less_3(bitIndex2)) | (v124(constB181, bitIndex2) <=> b001(bitIndex2)))),
% 9.28/6.84 inference(quant_inst,[status(thm)],[])).
% 9.28/6.84 tff(24673,plain,
% 9.28/6.84 ((~![B: $i] : ((~less_3(B)) | (v124(constB181, B) <=> b001(B)))) | (~less_3(bitIndex2)) | (v124(constB181, bitIndex2) <=> b001(bitIndex2))),
% 9.28/6.84 inference(modus_ponens,[status(thm)],[24672, 24671])).
% 9.28/6.84 tff(24674,plain,
% 9.28/6.84 (v124(constB181, bitIndex2) <=> b001(bitIndex2)),
% 9.28/6.84 inference(unit_resolution,[status(thm)],[24673, 832, 24670])).
% 9.28/6.84 tff(24675,plain,
% 9.28/6.84 ((~(v124(constB181, bitIndex2) <=> b001(bitIndex2))) | (~v124(constB181, bitIndex2)) | b001(bitIndex2)),
% 9.28/6.84 inference(tautology,[status(thm)],[])).
% 9.28/6.84 tff(24676,plain,
% 9.28/6.84 ((~(v124(constB181, bitIndex2) <=> b001(bitIndex2))) | (~v124(constB181, bitIndex2))),
% 9.28/6.84 inference(unit_resolution,[status(thm)],[24675, 9977])).
% 9.28/6.84 tff(24677,plain,
% 9.28/6.84 (~v124(constB181, bitIndex2)),
% 9.28/6.84 inference(unit_resolution,[status(thm)],[24676, 24674])).
% 9.28/6.84 tff(24678,plain,
% 9.28/6.84 ((~(v121(constB181, bitIndex2) <=> v124(constB181, bitIndex2))) | (~v121(constB181, bitIndex2)) | v124(constB181, bitIndex2)),
% 9.28/6.84 inference(tautology,[status(thm)],[])).
% 9.28/6.84 tff(24679,plain,
% 9.28/6.84 (~v121(constB181, bitIndex2)),
% 9.28/6.84 inference(unit_resolution,[status(thm)],[24678, 24677, 24606])).
% 9.28/6.84 tff(24680,plain,
% 9.28/6.84 ((~(v123(constB182, bitIndex2) <=> v121(constB181, bitIndex2))) | (~v123(constB182, bitIndex2)) | v121(constB181, bitIndex2)),
% 9.28/6.84 inference(tautology,[status(thm)],[])).
% 9.28/6.84 tff(24681,plain,
% 9.28/6.84 (~v123(constB182, bitIndex2)),
% 9.28/6.84 inference(unit_resolution,[status(thm)],[24680, 24679, 24598])).
% 9.28/6.84 tff(24682,plain,
% 9.28/6.84 ((~(v84(constB182, bitIndex2) <=> v123(constB182, bitIndex2))) | (~v84(constB182, bitIndex2)) | v123(constB182, bitIndex2)),
% 9.28/6.84 inference(tautology,[status(thm)],[])).
% 9.28/6.84 tff(24683,plain,
% 9.28/6.84 (~v84(constB182, bitIndex2)),
% 9.28/6.84 inference(unit_resolution,[status(thm)],[24682, 24681, 24590])).
% 9.28/6.84 tff(24684,plain,
% 9.28/6.84 ((~(v84(constB183, bitIndex2) <=> v84(constB182, bitIndex2))) | (~v84(constB183, bitIndex2)) | v84(constB182, bitIndex2)),
% 9.28/6.84 inference(tautology,[status(thm)],[])).
% 9.28/6.84 tff(24685,plain,
% 9.28/6.84 (~v84(constB183, bitIndex2)),
% 9.28/6.84 inference(unit_resolution,[status(thm)],[24684, 24683, 1450])).
% 9.28/6.84 tff(24686,plain,
% 9.28/6.84 (((~![B: $i] : ((~less_3(B)) | (v84(constB183, B) <=> v84(constB182, B)))) | ((~less_3(bitIndex0)) | (v84(constB183, bitIndex0) <=> v84(constB182, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB183, B) <=> v84(constB182, B)))) | (~less_3(bitIndex0)) | (v84(constB183, bitIndex0) <=> v84(constB182, bitIndex0)))),
% 9.28/6.84 inference(rewrite,[status(thm)],[])).
% 9.28/6.84 tff(24687,plain,
% 9.28/6.84 ((~![B: $i] : ((~less_3(B)) | (v84(constB183, B) <=> v84(constB182, B)))) | ((~less_3(bitIndex0)) | (v84(constB183, bitIndex0) <=> v84(constB182, bitIndex0)))),
% 9.28/6.84 inference(quant_inst,[status(thm)],[])).
% 9.28/6.84 tff(24688,plain,
% 9.28/6.84 ((~![B: $i] : ((~less_3(B)) | (v84(constB183, B) <=> v84(constB182, B)))) | (~less_3(bitIndex0)) | (v84(constB183, bitIndex0) <=> v84(constB182, bitIndex0))),
% 9.28/6.84 inference(modus_ponens,[status(thm)],[24687, 24686])).
% 9.28/6.84 tff(24689,plain,
% 9.28/6.84 (v84(constB183, bitIndex0) <=> v84(constB182, bitIndex0)),
% 9.28/6.84 inference(unit_resolution,[status(thm)],[24688, 9772, 1446])).
% 9.28/6.84 tff(24690,plain,
% 9.28/6.84 (((~![B: $i] : ((~less_3(B)) | (v84(constB182, B) <=> v123(constB182, B)))) | ((~less_3(bitIndex0)) | (v84(constB182, bitIndex0) <=> v123(constB182, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB182, B) <=> v123(constB182, B)))) | (~less_3(bitIndex0)) | (v84(constB182, bitIndex0) <=> v123(constB182, bitIndex0)))),
% 9.28/6.84 inference(rewrite,[status(thm)],[])).
% 9.28/6.84 tff(24691,plain,
% 9.28/6.84 ((~![B: $i] : ((~less_3(B)) | (v84(constB182, B) <=> v123(constB182, B)))) | ((~less_3(bitIndex0)) | (v84(constB182, bitIndex0) <=> v123(constB182, bitIndex0)))),
% 9.28/6.84 inference(quant_inst,[status(thm)],[])).
% 9.28/6.84 tff(24692,plain,
% 9.28/6.84 ((~![B: $i] : ((~less_3(B)) | (v84(constB182, B) <=> v123(constB182, B)))) | (~less_3(bitIndex0)) | (v84(constB182, bitIndex0) <=> v123(constB182, bitIndex0))),
% 9.28/6.84 inference(modus_ponens,[status(thm)],[24691, 24690])).
% 9.28/6.84 tff(24693,plain,
% 9.28/6.84 (v84(constB182, bitIndex0) <=> v123(constB182, bitIndex0)),
% 9.28/6.84 inference(unit_resolution,[status(thm)],[24692, 9772, 24586])).
% 9.28/6.84 tff(24694,plain,
% 9.28/6.84 (((~![B: $i] : ((~less_3(B)) | (v123(constB182, B) <=> v121(constB181, B)))) | ((~less_3(bitIndex0)) | (v123(constB182, bitIndex0) <=> v121(constB181, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB182, B) <=> v121(constB181, B)))) | (~less_3(bitIndex0)) | (v123(constB182, bitIndex0) <=> v121(constB181, bitIndex0)))),
% 9.28/6.84 inference(rewrite,[status(thm)],[])).
% 9.28/6.84 tff(24695,plain,
% 9.28/6.84 ((~![B: $i] : ((~less_3(B)) | (v123(constB182, B) <=> v121(constB181, B)))) | ((~less_3(bitIndex0)) | (v123(constB182, bitIndex0) <=> v121(constB181, bitIndex0)))),
% 9.28/6.84 inference(quant_inst,[status(thm)],[])).
% 9.28/6.84 tff(24696,plain,
% 9.28/6.84 ((~![B: $i] : ((~less_3(B)) | (v123(constB182, B) <=> v121(constB181, B)))) | (~less_3(bitIndex0)) | (v123(constB182, bitIndex0) <=> v121(constB181, bitIndex0))),
% 9.28/6.84 inference(modus_ponens,[status(thm)],[24695, 24694])).
% 9.28/6.84 tff(24697,plain,
% 9.28/6.84 (v123(constB182, bitIndex0) <=> v121(constB181, bitIndex0)),
% 9.28/6.84 inference(unit_resolution,[status(thm)],[24696, 9772, 24594])).
% 9.28/6.84 tff(24698,plain,
% 9.28/6.84 (((~![B: $i] : ((~less_3(B)) | (v121(constB181, B) <=> v124(constB181, B)))) | ((~less_3(bitIndex0)) | (v121(constB181, bitIndex0) <=> v124(constB181, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB181, B) <=> v124(constB181, B)))) | (~less_3(bitIndex0)) | (v121(constB181, bitIndex0) <=> v124(constB181, bitIndex0)))),
% 9.28/6.84 inference(rewrite,[status(thm)],[])).
% 9.28/6.84 tff(24699,plain,
% 9.28/6.84 ((~![B: $i] : ((~less_3(B)) | (v121(constB181, B) <=> v124(constB181, B)))) | ((~less_3(bitIndex0)) | (v121(constB181, bitIndex0) <=> v124(constB181, bitIndex0)))),
% 9.28/6.84 inference(quant_inst,[status(thm)],[])).
% 9.28/6.84 tff(24700,plain,
% 9.28/6.84 ((~![B: $i] : ((~less_3(B)) | (v121(constB181, B) <=> v124(constB181, B)))) | (~less_3(bitIndex0)) | (v121(constB181, bitIndex0) <=> v124(constB181, bitIndex0))),
% 9.28/6.84 inference(modus_ponens,[status(thm)],[24699, 24698])).
% 9.28/6.84 tff(24701,plain,
% 9.28/6.84 (v121(constB181, bitIndex0) <=> v124(constB181, bitIndex0)),
% 9.28/6.84 inference(unit_resolution,[status(thm)],[24700, 9772, 24602])).
% 9.28/6.84 tff(24702,plain,
% 9.28/6.84 (((~![B: $i] : ((~less_3(B)) | (v124(constB181, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v124(constB181, bitIndex0) <=> b001(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB181, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v124(constB181, bitIndex0) <=> b001(bitIndex0)))),
% 9.28/6.84 inference(rewrite,[status(thm)],[])).
% 9.28/6.84 tff(24703,plain,
% 9.28/6.84 ((~![B: $i] : ((~less_3(B)) | (v124(constB181, B) <=> b001(B)))) | ((~less_3(bitIndex0)) | (v124(constB181, bitIndex0) <=> b001(bitIndex0)))),
% 9.28/6.84 inference(quant_inst,[status(thm)],[])).
% 9.28/6.84 tff(24704,plain,
% 9.28/6.84 ((~![B: $i] : ((~less_3(B)) | (v124(constB181, B) <=> b001(B)))) | (~less_3(bitIndex0)) | (v124(constB181, bitIndex0) <=> b001(bitIndex0))),
% 9.28/6.84 inference(modus_ponens,[status(thm)],[24703, 24702])).
% 9.28/6.84 tff(24705,plain,
% 9.28/6.84 (v124(constB181, bitIndex0) <=> b001(bitIndex0)),
% 9.28/6.84 inference(unit_resolution,[status(thm)],[24704, 9772, 24670])).
% 9.28/6.84 tff(24706,plain,
% 9.28/6.84 ((~(v124(constB181, bitIndex0) <=> b001(bitIndex0))) | v124(constB181, bitIndex0) | (~b001(bitIndex0))),
% 9.28/6.84 inference(tautology,[status(thm)],[])).
% 9.28/6.84 tff(24707,plain,
% 9.28/6.84 ((~(v124(constB181, bitIndex0) <=> b001(bitIndex0))) | v124(constB181, bitIndex0)),
% 9.28/6.84 inference(unit_resolution,[status(thm)],[24706, 10011])).
% 9.28/6.84 tff(24708,plain,
% 9.28/6.84 (v124(constB181, bitIndex0)),
% 9.28/6.84 inference(unit_resolution,[status(thm)],[24707, 24705])).
% 9.28/6.84 tff(24709,plain,
% 9.28/6.84 ((~(v121(constB181, bitIndex0) <=> v124(constB181, bitIndex0))) | v121(constB181, bitIndex0) | (~v124(constB181, bitIndex0))),
% 9.28/6.84 inference(tautology,[status(thm)],[])).
% 9.28/6.84 tff(24710,plain,
% 9.28/6.84 (v121(constB181, bitIndex0)),
% 9.28/6.84 inference(unit_resolution,[status(thm)],[24709, 24708, 24701])).
% 9.28/6.84 tff(24711,plain,
% 9.28/6.84 ((~(v123(constB182, bitIndex0) <=> v121(constB181, bitIndex0))) | v123(constB182, bitIndex0) | (~v121(constB181, bitIndex0))),
% 9.28/6.84 inference(tautology,[status(thm)],[])).
% 9.28/6.84 tff(24712,plain,
% 9.28/6.84 (v123(constB182, bitIndex0)),
% 9.28/6.84 inference(unit_resolution,[status(thm)],[24711, 24710, 24697])).
% 9.28/6.84 tff(24713,plain,
% 9.28/6.84 ((~(v84(constB182, bitIndex0) <=> v123(constB182, bitIndex0))) | v84(constB182, bitIndex0) | (~v123(constB182, bitIndex0))),
% 9.28/6.84 inference(tautology,[status(thm)],[])).
% 9.28/6.84 tff(24714,plain,
% 9.28/6.84 (v84(constB182, bitIndex0)),
% 9.28/6.84 inference(unit_resolution,[status(thm)],[24713, 24712, 24693])).
% 9.28/6.84 tff(24715,plain,
% 9.28/6.84 ((~(v84(constB183, bitIndex0) <=> v84(constB182, bitIndex0))) | v84(constB183, bitIndex0) | (~v84(constB182, bitIndex0))),
% 9.28/6.84 inference(tautology,[status(thm)],[])).
% 9.28/6.84 tff(24716,plain,
% 9.28/6.84 (v84(constB183, bitIndex0)),
% 9.28/6.84 inference(unit_resolution,[status(thm)],[24715, 24714, 24689])).
% 9.28/6.84 tff(24717,plain,
% 9.28/6.84 (((~![B: $i] : ((~less_3(B)) | (v84(constB183, B) <=> v84(constB182, B)))) | ((~less_3(bitIndex1)) | (v84(constB183, bitIndex1) <=> v84(constB182, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB183, B) <=> v84(constB182, B)))) | (~less_3(bitIndex1)) | (v84(constB183, bitIndex1) <=> v84(constB182, bitIndex1)))),
% 9.28/6.84 inference(rewrite,[status(thm)],[])).
% 9.28/6.84 tff(24718,plain,
% 9.28/6.84 ((~![B: $i] : ((~less_3(B)) | (v84(constB183, B) <=> v84(constB182, B)))) | ((~less_3(bitIndex1)) | (v84(constB183, bitIndex1) <=> v84(constB182, bitIndex1)))),
% 9.28/6.84 inference(quant_inst,[status(thm)],[])).
% 9.28/6.84 tff(24719,plain,
% 9.28/6.84 ((~![B: $i] : ((~less_3(B)) | (v84(constB183, B) <=> v84(constB182, B)))) | (~less_3(bitIndex1)) | (v84(constB183, bitIndex1) <=> v84(constB182, bitIndex1))),
% 9.28/6.84 inference(modus_ponens,[status(thm)],[24718, 24717])).
% 9.28/6.84 tff(24720,plain,
% 9.28/6.84 (v84(constB183, bitIndex1) <=> v84(constB182, bitIndex1)),
% 9.28/6.84 inference(unit_resolution,[status(thm)],[24719, 9785, 1446])).
% 9.28/6.84 tff(24721,plain,
% 9.28/6.84 (((~![B: $i] : ((~less_3(B)) | (v84(constB182, B) <=> v123(constB182, B)))) | ((~less_3(bitIndex1)) | (v84(constB182, bitIndex1) <=> v123(constB182, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB182, B) <=> v123(constB182, B)))) | (~less_3(bitIndex1)) | (v84(constB182, bitIndex1) <=> v123(constB182, bitIndex1)))),
% 9.28/6.84 inference(rewrite,[status(thm)],[])).
% 9.28/6.84 tff(24722,plain,
% 9.28/6.84 ((~![B: $i] : ((~less_3(B)) | (v84(constB182, B) <=> v123(constB182, B)))) | ((~less_3(bitIndex1)) | (v84(constB182, bitIndex1) <=> v123(constB182, bitIndex1)))),
% 9.28/6.84 inference(quant_inst,[status(thm)],[])).
% 9.28/6.84 tff(24723,plain,
% 9.28/6.84 ((~![B: $i] : ((~less_3(B)) | (v84(constB182, B) <=> v123(constB182, B)))) | (~less_3(bitIndex1)) | (v84(constB182, bitIndex1) <=> v123(constB182, bitIndex1))),
% 9.28/6.84 inference(modus_ponens,[status(thm)],[24722, 24721])).
% 9.28/6.84 tff(24724,plain,
% 9.28/6.84 (v84(constB182, bitIndex1) <=> v123(constB182, bitIndex1)),
% 9.28/6.84 inference(unit_resolution,[status(thm)],[24723, 9785, 24586])).
% 9.28/6.84 tff(24725,plain,
% 9.28/6.84 (((~![B: $i] : ((~less_3(B)) | (v123(constB182, B) <=> v121(constB181, B)))) | ((~less_3(bitIndex1)) | (v123(constB182, bitIndex1) <=> v121(constB181, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB182, B) <=> v121(constB181, B)))) | (~less_3(bitIndex1)) | (v123(constB182, bitIndex1) <=> v121(constB181, bitIndex1)))),
% 9.28/6.84 inference(rewrite,[status(thm)],[])).
% 9.28/6.84 tff(24726,plain,
% 9.28/6.84 ((~![B: $i] : ((~less_3(B)) | (v123(constB182, B) <=> v121(constB181, B)))) | ((~less_3(bitIndex1)) | (v123(constB182, bitIndex1) <=> v121(constB181, bitIndex1)))),
% 9.28/6.84 inference(quant_inst,[status(thm)],[])).
% 9.28/6.84 tff(24727,plain,
% 9.28/6.84 ((~![B: $i] : ((~less_3(B)) | (v123(constB182, B) <=> v121(constB181, B)))) | (~less_3(bitIndex1)) | (v123(constB182, bitIndex1) <=> v121(constB181, bitIndex1))),
% 9.28/6.85 inference(modus_ponens,[status(thm)],[24726, 24725])).
% 9.28/6.85 tff(24728,plain,
% 9.28/6.85 (v123(constB182, bitIndex1) <=> v121(constB181, bitIndex1)),
% 9.28/6.85 inference(unit_resolution,[status(thm)],[24727, 9785, 24594])).
% 9.28/6.85 tff(24729,plain,
% 9.28/6.85 (((~![B: $i] : ((~less_3(B)) | (v121(constB181, B) <=> v124(constB181, B)))) | ((~less_3(bitIndex1)) | (v121(constB181, bitIndex1) <=> v124(constB181, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB181, B) <=> v124(constB181, B)))) | (~less_3(bitIndex1)) | (v121(constB181, bitIndex1) <=> v124(constB181, bitIndex1)))),
% 9.28/6.85 inference(rewrite,[status(thm)],[])).
% 9.28/6.85 tff(24730,plain,
% 9.28/6.85 ((~![B: $i] : ((~less_3(B)) | (v121(constB181, B) <=> v124(constB181, B)))) | ((~less_3(bitIndex1)) | (v121(constB181, bitIndex1) <=> v124(constB181, bitIndex1)))),
% 9.28/6.85 inference(quant_inst,[status(thm)],[])).
% 9.28/6.85 tff(24731,plain,
% 9.28/6.85 ((~![B: $i] : ((~less_3(B)) | (v121(constB181, B) <=> v124(constB181, B)))) | (~less_3(bitIndex1)) | (v121(constB181, bitIndex1) <=> v124(constB181, bitIndex1))),
% 9.28/6.85 inference(modus_ponens,[status(thm)],[24730, 24729])).
% 9.28/6.85 tff(24732,plain,
% 9.28/6.85 (v121(constB181, bitIndex1) <=> v124(constB181, bitIndex1)),
% 9.28/6.85 inference(unit_resolution,[status(thm)],[24731, 9785, 24602])).
% 9.28/6.85 tff(24733,plain,
% 9.28/6.85 (((~![B: $i] : ((~less_3(B)) | (v124(constB181, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v124(constB181, bitIndex1) <=> b001(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB181, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v124(constB181, bitIndex1) <=> b001(bitIndex1)))),
% 9.28/6.85 inference(rewrite,[status(thm)],[])).
% 9.28/6.85 tff(24734,plain,
% 9.28/6.85 ((~![B: $i] : ((~less_3(B)) | (v124(constB181, B) <=> b001(B)))) | ((~less_3(bitIndex1)) | (v124(constB181, bitIndex1) <=> b001(bitIndex1)))),
% 9.28/6.85 inference(quant_inst,[status(thm)],[])).
% 9.28/6.85 tff(24735,plain,
% 9.28/6.85 ((~![B: $i] : ((~less_3(B)) | (v124(constB181, B) <=> b001(B)))) | (~less_3(bitIndex1)) | (v124(constB181, bitIndex1) <=> b001(bitIndex1))),
% 9.28/6.85 inference(modus_ponens,[status(thm)],[24734, 24733])).
% 9.28/6.85 tff(24736,plain,
% 9.28/6.85 (v124(constB181, bitIndex1) <=> b001(bitIndex1)),
% 9.28/6.85 inference(unit_resolution,[status(thm)],[24735, 9785, 24670])).
% 9.28/6.85 tff(24737,plain,
% 9.28/6.85 ((~(v124(constB181, bitIndex1) <=> b001(bitIndex1))) | (~v124(constB181, bitIndex1)) | b001(bitIndex1)),
% 9.28/6.85 inference(tautology,[status(thm)],[])).
% 9.28/6.85 tff(24738,plain,
% 9.28/6.85 ((~(v124(constB181, bitIndex1) <=> b001(bitIndex1))) | (~v124(constB181, bitIndex1))),
% 9.28/6.85 inference(unit_resolution,[status(thm)],[24737, 10045])).
% 9.28/6.85 tff(24739,plain,
% 9.28/6.85 (~v124(constB181, bitIndex1)),
% 9.28/6.85 inference(unit_resolution,[status(thm)],[24738, 24736])).
% 9.28/6.85 tff(24740,plain,
% 9.28/6.85 ((~(v121(constB181, bitIndex1) <=> v124(constB181, bitIndex1))) | (~v121(constB181, bitIndex1)) | v124(constB181, bitIndex1)),
% 9.28/6.85 inference(tautology,[status(thm)],[])).
% 9.28/6.85 tff(24741,plain,
% 9.28/6.85 (~v121(constB181, bitIndex1)),
% 9.28/6.85 inference(unit_resolution,[status(thm)],[24740, 24739, 24732])).
% 9.28/6.85 tff(24742,plain,
% 9.28/6.85 ((~(v123(constB182, bitIndex1) <=> v121(constB181, bitIndex1))) | (~v123(constB182, bitIndex1)) | v121(constB181, bitIndex1)),
% 9.28/6.85 inference(tautology,[status(thm)],[])).
% 9.28/6.85 tff(24743,plain,
% 9.28/6.85 (~v123(constB182, bitIndex1)),
% 9.28/6.85 inference(unit_resolution,[status(thm)],[24742, 24741, 24728])).
% 9.28/6.85 tff(24744,plain,
% 9.28/6.85 ((~(v84(constB182, bitIndex1) <=> v123(constB182, bitIndex1))) | (~v84(constB182, bitIndex1)) | v123(constB182, bitIndex1)),
% 9.28/6.85 inference(tautology,[status(thm)],[])).
% 9.28/6.85 tff(24745,plain,
% 9.28/6.85 (~v84(constB182, bitIndex1)),
% 9.28/6.85 inference(unit_resolution,[status(thm)],[24744, 24743, 24724])).
% 9.28/6.85 tff(24746,plain,
% 9.28/6.85 ((~(v84(constB183, bitIndex1) <=> v84(constB182, bitIndex1))) | (~v84(constB183, bitIndex1)) | v84(constB182, bitIndex1)),
% 9.28/6.85 inference(tautology,[status(thm)],[])).
% 9.28/6.85 tff(24747,plain,
% 9.28/6.85 (~v84(constB183, bitIndex1)),
% 9.28/6.85 inference(unit_resolution,[status(thm)],[24746, 24745, 24720])).
% 9.28/6.85 tff(24748,plain,
% 9.28/6.85 ((~(v84(constB183, bitIndex2) | v84(constB183, bitIndex1) | (~v84(constB183, bitIndex0)))) | v84(constB183, bitIndex2) | v84(constB183, bitIndex1) | (~v84(constB183, bitIndex0))),
% 9.28/6.85 inference(tautology,[status(thm)],[])).
% 9.28/6.85 tff(24749,plain,
% 9.28/6.85 (~(v84(constB183, bitIndex2) | v84(constB183, bitIndex1) | (~v84(constB183, bitIndex0)))),
% 9.28/6.85 inference(unit_resolution,[status(thm)],[24748, 24747, 24716, 24685])).
% 9.28/6.85 tff(24750,plain,
% 9.28/6.85 ((~(v114(constB183) <=> (~(v84(constB183, bitIndex2) | v84(constB183, bitIndex1) | (~v84(constB183, bitIndex0)))))) | v114(constB183) | (v84(constB183, bitIndex2) | v84(constB183, bitIndex1) | (~v84(constB183, bitIndex0)))),
% 9.28/6.85 inference(tautology,[status(thm)],[])).
% 9.28/6.85 tff(24751,plain,
% 9.28/6.85 (v114(constB183)),
% 9.28/6.85 inference(unit_resolution,[status(thm)],[24750, 24749, 1418])).
% 9.28/6.85 tff(24752,plain,
% 9.28/6.85 ((v113(constB183) | v114(constB183)) | (~v114(constB183))),
% 9.28/6.85 inference(tautology,[status(thm)],[])).
% 9.28/6.85 tff(24753,plain,
% 9.28/6.85 (v113(constB183) | v114(constB183)),
% 9.28/6.85 inference(unit_resolution,[status(thm)],[24752, 24751])).
% 9.28/6.85 tff(24754,plain,
% 9.28/6.85 ((~(v112(constB183) <=> (v113(constB183) | v114(constB183)))) | v112(constB183) | (~(v113(constB183) | v114(constB183)))),
% 9.28/6.85 inference(tautology,[status(thm)],[])).
% 9.28/6.85 tff(24755,plain,
% 9.28/6.85 (v112(constB183)),
% 9.28/6.85 inference(unit_resolution,[status(thm)],[24754, 24753, 1398])).
% 9.28/6.85 tff(24756,plain,
% 9.28/6.85 ((v112(constB183) | v115(constB183)) | (~v112(constB183))),
% 9.28/6.85 inference(tautology,[status(thm)],[])).
% 9.28/6.85 tff(24757,plain,
% 9.28/6.85 (v112(constB183) | v115(constB183)),
% 9.28/6.85 inference(unit_resolution,[status(thm)],[24756, 24755])).
% 9.28/6.85 tff(24758,plain,
% 9.28/6.85 ((~(v111(constB183) <=> (v112(constB183) | v115(constB183)))) | v111(constB183) | (~(v112(constB183) | v115(constB183)))),
% 9.28/6.85 inference(tautology,[status(thm)],[])).
% 9.28/6.85 tff(24759,plain,
% 9.28/6.85 (v111(constB183)),
% 9.28/6.85 inference(unit_resolution,[status(thm)],[24758, 24757, 1389])).
% 9.28/6.85 tff(24760,plain,
% 9.28/6.85 ((v111(constB183) | v116(constB183)) | (~v111(constB183))),
% 9.28/6.85 inference(tautology,[status(thm)],[])).
% 9.28/6.85 tff(24761,plain,
% 9.28/6.85 (v111(constB183) | v116(constB183)),
% 9.28/6.85 inference(unit_resolution,[status(thm)],[24760, 24759])).
% 9.28/6.85 tff(24762,plain,
% 9.28/6.85 ((~(v110(constB183) <=> (v111(constB183) | v116(constB183)))) | v110(constB183) | (~(v111(constB183) | v116(constB183)))),
% 9.28/6.85 inference(tautology,[status(thm)],[])).
% 9.28/6.85 tff(24763,plain,
% 9.28/6.85 (v110(constB183)),
% 9.28/6.85 inference(unit_resolution,[status(thm)],[24762, 24761, 1387])).
% 9.28/6.85 tff(24764,plain,
% 9.28/6.85 ((v110(constB183) | v117(constB183)) | (~v110(constB183))),
% 9.28/6.85 inference(tautology,[status(thm)],[])).
% 9.28/6.85 tff(24765,plain,
% 9.28/6.85 (v110(constB183) | v117(constB183)),
% 9.28/6.85 inference(unit_resolution,[status(thm)],[24764, 24763])).
% 9.28/6.85 tff(24766,plain,
% 9.28/6.85 ((~(v109(constB183) <=> (v110(constB183) | v117(constB183)))) | v109(constB183) | (~(v110(constB183) | v117(constB183)))),
% 9.28/6.85 inference(tautology,[status(thm)],[])).
% 9.28/6.85 tff(24767,plain,
% 9.28/6.85 (v109(constB183)),
% 9.28/6.85 inference(unit_resolution,[status(thm)],[24766, 24765, 1385])).
% 9.28/6.85 tff(24768,plain,
% 9.28/6.85 ((v109(constB183) | v118(constB183)) | (~v109(constB183))),
% 9.28/6.85 inference(tautology,[status(thm)],[])).
% 9.28/6.85 tff(24769,plain,
% 9.28/6.85 (v109(constB183) | v118(constB183)),
% 9.28/6.85 inference(unit_resolution,[status(thm)],[24768, 24767])).
% 9.28/6.85 tff(24770,plain,
% 9.28/6.85 ((~(v108(constB183) <=> (v109(constB183) | v118(constB183)))) | v108(constB183) | (~(v109(constB183) | v118(constB183)))),
% 9.28/6.85 inference(tautology,[status(thm)],[])).
% 9.28/6.85 tff(24771,plain,
% 9.28/6.85 (v108(constB183)),
% 9.28/6.85 inference(unit_resolution,[status(thm)],[24770, 24769, 1383])).
% 9.28/6.85 tff(24772,plain,
% 9.28/6.85 ((v108(constB183) | v119(constB183)) | (~v108(constB183))),
% 9.28/6.85 inference(tautology,[status(thm)],[])).
% 9.28/6.85 tff(24773,plain,
% 9.28/6.85 (v108(constB183) | v119(constB183)),
% 9.28/6.85 inference(unit_resolution,[status(thm)],[24772, 24771])).
% 9.28/6.85 tff(24774,plain,
% 9.28/6.85 ((~(v107(constB183) <=> (v108(constB183) | v119(constB183)))) | v107(constB183) | (~(v108(constB183) | v119(constB183)))),
% 9.28/6.85 inference(tautology,[status(thm)],[])).
% 9.28/6.85 tff(24775,plain,
% 9.28/6.85 (v107(constB183)),
% 9.28/6.85 inference(unit_resolution,[status(thm)],[24774, 24773, 1381])).
% 9.28/6.85 tff(24776,plain,
% 9.28/6.85 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB183)) <=> v105(constB183))),
% 9.28/6.85 inference(quant_inst,[status(thm)],[])).
% 9.28/6.85 tff(24777,plain,
% 9.28/6.85 ((~v120(constB183)) <=> v105(constB183)),
% 9.28/6.85 inference(unit_resolution,[status(thm)],[24776, 9842])).
% 9.28/6.85 tff(24778,plain,
% 9.28/6.85 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB183) <=> v26(constB183))),
% 9.28/6.85 inference(quant_inst,[status(thm)],[])).
% 9.28/6.85 tff(24779,plain,
% 9.28/6.85 (v105(constB183) <=> v26(constB183)),
% 9.28/6.85 inference(unit_resolution,[status(thm)],[24778, 9854])).
% 9.28/6.85 tff(24780,plain,
% 9.28/6.85 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB183))),
% 9.28/6.85 inference(quant_inst,[status(thm)],[])).
% 9.28/6.85 tff(24781,plain,
% 9.28/6.85 (~v26(constB183)),
% 9.28/6.85 inference(unit_resolution,[status(thm)],[24780, 9866])).
% 9.28/6.85 tff(24782,plain,
% 9.28/6.85 ((~(v105(constB183) <=> v26(constB183))) | (~v105(constB183)) | v26(constB183)),
% 9.28/6.85 inference(tautology,[status(thm)],[])).
% 9.28/6.85 tff(24783,plain,
% 9.28/6.85 ((~(v105(constB183) <=> v26(constB183))) | (~v105(constB183))),
% 9.28/6.85 inference(unit_resolution,[status(thm)],[24782, 24781])).
% 9.28/6.85 tff(24784,plain,
% 9.28/6.85 (~v105(constB183)),
% 9.28/6.85 inference(unit_resolution,[status(thm)],[24783, 24779])).
% 9.28/6.85 tff(24785,plain,
% 9.28/6.85 ((~((~v120(constB183)) <=> v105(constB183))) | v120(constB183) | v105(constB183)),
% 9.28/6.85 inference(tautology,[status(thm)],[])).
% 9.28/6.85 tff(24786,plain,
% 9.28/6.85 ((~((~v120(constB183)) <=> v105(constB183))) | v120(constB183)),
% 9.28/6.85 inference(unit_resolution,[status(thm)],[24785, 24784])).
% 9.28/6.85 tff(24787,plain,
% 9.28/6.85 (v120(constB183)),
% 9.28/6.85 inference(unit_resolution,[status(thm)],[24786, 24777])).
% 9.28/6.85 tff(24788,plain,
% 9.28/6.85 ((~((~v107(constB183)) | (~v120(constB183)))) | (~v107(constB183)) | (~v120(constB183))),
% 9.28/6.85 inference(tautology,[status(thm)],[])).
% 9.28/6.85 tff(24789,plain,
% 9.28/6.85 ((~((~v107(constB183)) | (~v120(constB183)))) | (~v107(constB183))),
% 9.28/6.85 inference(unit_resolution,[status(thm)],[24788, 24787])).
% 9.28/6.85 tff(24790,plain,
% 9.28/6.85 (~((~v107(constB183)) | (~v120(constB183)))),
% 9.28/6.85 inference(unit_resolution,[status(thm)],[24789, 24775])).
% 9.28/6.85 tff(24791,plain,
% 9.28/6.85 ((~(v106(constB183) <=> (~((~v107(constB183)) | (~v120(constB183)))))) | v106(constB183) | ((~v107(constB183)) | (~v120(constB183)))),
% 9.28/6.85 inference(tautology,[status(thm)],[])).
% 9.28/6.85 tff(24792,plain,
% 9.28/6.85 (v106(constB183)),
% 9.28/6.85 inference(unit_resolution,[status(thm)],[24791, 24790, 1379])).
% 9.28/6.85 tff(24793,plain,
% 9.28/6.85 ((v105(constB183) | v106(constB183)) | (~v106(constB183))),
% 9.28/6.85 inference(tautology,[status(thm)],[])).
% 9.28/6.85 tff(24794,plain,
% 9.28/6.85 (v105(constB183) | v106(constB183)),
% 9.28/6.85 inference(unit_resolution,[status(thm)],[24793, 24792])).
% 9.28/6.85 tff(24795,plain,
% 9.28/6.85 ((~(v102(constB183) <=> (v105(constB183) | v106(constB183)))) | v102(constB183) | (~(v105(constB183) | v106(constB183)))),
% 9.28/6.85 inference(tautology,[status(thm)],[])).
% 9.28/6.85 tff(24796,plain,
% 9.28/6.85 (v102(constB183)),
% 9.28/6.85 inference(unit_resolution,[status(thm)],[24795, 24794, 1377])).
% 9.28/6.85 tff(24797,plain,
% 9.28/6.85 ((~(v104(constB184) <=> v102(constB183))) | v104(constB184) | (~v102(constB183))),
% 9.28/6.85 inference(tautology,[status(thm)],[])).
% 9.28/6.85 tff(24798,plain,
% 9.28/6.85 (v104(constB184)),
% 9.28/6.85 inference(unit_resolution,[status(thm)],[24797, 24796, 1375])).
% 9.28/6.85 tff(24799,plain,
% 9.28/6.85 ((~((~v104(constB184)) | (~v95(constB184)))) | (~v104(constB184)) | (~v95(constB184))),
% 9.28/6.85 inference(tautology,[status(thm)],[])).
% 9.28/6.85 tff(24800,plain,
% 9.28/6.85 (~((~v104(constB184)) | (~v95(constB184)))),
% 9.28/6.85 inference(unit_resolution,[status(thm)],[24799, 24798, 1371])).
% 9.28/6.85 tff(24801,plain,
% 9.28/6.85 ((~(v94(constB184) <=> (~((~v104(constB184)) | (~v95(constB184)))))) | v94(constB184) | ((~v104(constB184)) | (~v95(constB184)))),
% 9.28/6.85 inference(tautology,[status(thm)],[])).
% 9.28/6.85 tff(24802,plain,
% 9.28/6.85 (v94(constB184)),
% 9.28/6.85 inference(unit_resolution,[status(thm)],[24801, 24800, 1340])).
% 9.28/6.85 tff(24803,plain,
% 9.28/6.85 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB184)) | ![B: $i] : ((~less_3(B)) | (v84(constB184, B) <=> v123(constB184, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB184)) | ![B: $i] : ((~less_3(B)) | (v84(constB184, B) <=> v123(constB184, B))))),
% 9.28/6.85 inference(rewrite,[status(thm)],[])).
% 9.28/6.85 tff(24804,plain,
% 9.28/6.85 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB184)) | ![B: $i] : ((~less_3(B)) | (v84(constB184, B) <=> v123(constB184, B))))),
% 9.28/6.85 inference(quant_inst,[status(thm)],[])).
% 9.28/6.85 tff(24805,plain,
% 9.28/6.85 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB184)) | ![B: $i] : ((~less_3(B)) | (v84(constB184, B) <=> v123(constB184, B)))),
% 9.28/6.85 inference(modus_ponens,[status(thm)],[24804, 24803])).
% 9.28/6.85 tff(24806,plain,
% 9.28/6.85 ((~v94(constB184)) | ![B: $i] : ((~less_3(B)) | (v84(constB184, B) <=> v123(constB184, B)))),
% 9.28/6.85 inference(unit_resolution,[status(thm)],[24805, 9902])).
% 9.28/6.85 tff(24807,plain,
% 9.28/6.85 (![B: $i] : ((~less_3(B)) | (v84(constB184, B) <=> v123(constB184, B)))),
% 9.28/6.85 inference(unit_resolution,[status(thm)],[24806, 24802])).
% 9.28/6.85 tff(24808,plain,
% 9.28/6.85 (((~![B: $i] : ((~less_3(B)) | (v84(constB184, B) <=> v123(constB184, B)))) | ((~less_3(bitIndex2)) | (v84(constB184, bitIndex2) <=> v123(constB184, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB184, B) <=> v123(constB184, B)))) | (~less_3(bitIndex2)) | (v84(constB184, bitIndex2) <=> v123(constB184, bitIndex2)))),
% 9.28/6.85 inference(rewrite,[status(thm)],[])).
% 9.28/6.85 tff(24809,plain,
% 9.28/6.85 ((~![B: $i] : ((~less_3(B)) | (v84(constB184, B) <=> v123(constB184, B)))) | ((~less_3(bitIndex2)) | (v84(constB184, bitIndex2) <=> v123(constB184, bitIndex2)))),
% 9.28/6.85 inference(quant_inst,[status(thm)],[])).
% 9.28/6.85 tff(24810,plain,
% 9.28/6.85 ((~![B: $i] : ((~less_3(B)) | (v84(constB184, B) <=> v123(constB184, B)))) | (~less_3(bitIndex2)) | (v84(constB184, bitIndex2) <=> v123(constB184, bitIndex2))),
% 9.28/6.85 inference(modus_ponens,[status(thm)],[24809, 24808])).
% 9.28/6.85 tff(24811,plain,
% 9.28/6.85 (v84(constB184, bitIndex2) <=> v123(constB184, bitIndex2)),
% 9.28/6.85 inference(unit_resolution,[status(thm)],[24810, 832, 24807])).
% 9.28/6.85 tff(24812,plain,
% 9.28/6.85 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB183, constB184)) | ![B: $i] : ((~less_3(B)) | (v123(constB184, B) <=> v121(constB183, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB183, constB184)) | ![B: $i] : ((~less_3(B)) | (v123(constB184, B) <=> v121(constB183, B))))),
% 9.28/6.85 inference(rewrite,[status(thm)],[])).
% 9.28/6.85 tff(24813,plain,
% 9.28/6.85 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB183, constB184)) | ![B: $i] : ((~less_3(B)) | (v123(constB184, B) <=> v121(constB183, B))))),
% 9.28/6.85 inference(quant_inst,[status(thm)],[])).
% 9.28/6.85 tff(24814,plain,
% 9.28/6.85 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB183, constB184)) | ![B: $i] : ((~less_3(B)) | (v123(constB184, B) <=> v121(constB183, B)))),
% 9.28/6.85 inference(modus_ponens,[status(thm)],[24813, 24812])).
% 9.28/6.85 tff(24815,plain,
% 9.28/6.85 (![B: $i] : ((~less_3(B)) | (v123(constB184, B) <=> v121(constB183, B)))),
% 9.28/6.85 inference(unit_resolution,[status(thm)],[24814, 1336, 9924])).
% 9.28/6.85 tff(24816,plain,
% 9.28/6.85 (((~![B: $i] : ((~less_3(B)) | (v123(constB184, B) <=> v121(constB183, B)))) | ((~less_3(bitIndex2)) | (v123(constB184, bitIndex2) <=> v121(constB183, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB184, B) <=> v121(constB183, B)))) | (~less_3(bitIndex2)) | (v123(constB184, bitIndex2) <=> v121(constB183, bitIndex2)))),
% 9.28/6.85 inference(rewrite,[status(thm)],[])).
% 9.28/6.85 tff(24817,plain,
% 9.28/6.85 ((~![B: $i] : ((~less_3(B)) | (v123(constB184, B) <=> v121(constB183, B)))) | ((~less_3(bitIndex2)) | (v123(constB184, bitIndex2) <=> v121(constB183, bitIndex2)))),
% 9.28/6.85 inference(quant_inst,[status(thm)],[])).
% 9.28/6.85 tff(24818,plain,
% 9.28/6.85 ((~![B: $i] : ((~less_3(B)) | (v123(constB184, B) <=> v121(constB183, B)))) | (~less_3(bitIndex2)) | (v123(constB184, bitIndex2) <=> v121(constB183, bitIndex2))),
% 9.28/6.85 inference(modus_ponens,[status(thm)],[24817, 24816])).
% 9.28/6.85 tff(24819,plain,
% 9.28/6.85 (v123(constB184, bitIndex2) <=> v121(constB183, bitIndex2)),
% 9.28/6.85 inference(unit_resolution,[status(thm)],[24818, 832, 24815])).
% 9.28/6.85 tff(24820,plain,
% 9.28/6.85 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB183) | ![B: $i] : ((~less_3(B)) | (v121(constB183, B) <=> v124(constB183, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB183) | ![B: $i] : ((~less_3(B)) | (v121(constB183, B) <=> v124(constB183, B))))),
% 9.28/6.85 inference(rewrite,[status(thm)],[])).
% 9.28/6.85 tff(24821,plain,
% 9.28/6.85 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB183) | ![B: $i] : ((~less_3(B)) | (v121(constB183, B) <=> v124(constB183, B))))),
% 9.28/6.85 inference(quant_inst,[status(thm)],[])).
% 9.28/6.85 tff(24822,plain,
% 9.28/6.85 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB183) | ![B: $i] : ((~less_3(B)) | (v121(constB183, B) <=> v124(constB183, B)))),
% 9.28/6.85 inference(modus_ponens,[status(thm)],[24821, 24820])).
% 9.28/6.85 tff(24823,plain,
% 9.28/6.85 (![B: $i] : ((~less_3(B)) | (v121(constB183, B) <=> v124(constB183, B)))),
% 9.28/6.85 inference(unit_resolution,[status(thm)],[24822, 9945, 24784])).
% 9.28/6.85 tff(24824,plain,
% 9.28/6.85 (((~![B: $i] : ((~less_3(B)) | (v121(constB183, B) <=> v124(constB183, B)))) | ((~less_3(bitIndex2)) | (v121(constB183, bitIndex2) <=> v124(constB183, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB183, B) <=> v124(constB183, B)))) | (~less_3(bitIndex2)) | (v121(constB183, bitIndex2) <=> v124(constB183, bitIndex2)))),
% 9.28/6.85 inference(rewrite,[status(thm)],[])).
% 9.28/6.85 tff(24825,plain,
% 9.28/6.85 ((~![B: $i] : ((~less_3(B)) | (v121(constB183, B) <=> v124(constB183, B)))) | ((~less_3(bitIndex2)) | (v121(constB183, bitIndex2) <=> v124(constB183, bitIndex2)))),
% 9.28/6.85 inference(quant_inst,[status(thm)],[])).
% 9.28/6.85 tff(24826,plain,
% 9.28/6.85 ((~![B: $i] : ((~less_3(B)) | (v121(constB183, B) <=> v124(constB183, B)))) | (~less_3(bitIndex2)) | (v121(constB183, bitIndex2) <=> v124(constB183, bitIndex2))),
% 9.28/6.85 inference(modus_ponens,[status(thm)],[24825, 24824])).
% 9.28/6.85 tff(24827,plain,
% 9.28/6.85 (v121(constB183, bitIndex2) <=> v124(constB183, bitIndex2)),
% 9.28/6.85 inference(unit_resolution,[status(thm)],[24826, 832, 24823])).
% 9.28/6.85 tff(24828,plain,
% 9.28/6.85 (((~![VarCurr: $i] : ((~v114(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b010(B))))) | ((~v114(constB183)) | ![B: $i] : ((~less_3(B)) | (v124(constB183, B) <=> b010(B))))) <=> ((~![VarCurr: $i] : ((~v114(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b010(B))))) | (~v114(constB183)) | ![B: $i] : ((~less_3(B)) | (v124(constB183, B) <=> b010(B))))),
% 9.28/6.85 inference(rewrite,[status(thm)],[])).
% 9.28/6.85 tff(24829,plain,
% 9.28/6.85 ((~![VarCurr: $i] : ((~v114(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b010(B))))) | ((~v114(constB183)) | ![B: $i] : ((~less_3(B)) | (v124(constB183, B) <=> b010(B))))),
% 9.28/6.85 inference(quant_inst,[status(thm)],[])).
% 9.28/6.85 tff(24830,plain,
% 9.28/6.85 ((~![VarCurr: $i] : ((~v114(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b010(B))))) | (~v114(constB183)) | ![B: $i] : ((~less_3(B)) | (v124(constB183, B) <=> b010(B)))),
% 9.28/6.85 inference(modus_ponens,[status(thm)],[24829, 24828])).
% 9.28/6.85 tff(24831,plain,
% 9.28/6.85 ((~v114(constB183)) | ![B: $i] : ((~less_3(B)) | (v124(constB183, B) <=> b010(B)))),
% 9.28/6.85 inference(unit_resolution,[status(thm)],[24830, 10149])).
% 9.28/6.85 tff(24832,plain,
% 9.28/6.85 (![B: $i] : ((~less_3(B)) | (v124(constB183, B) <=> b010(B)))),
% 9.28/6.85 inference(unit_resolution,[status(thm)],[24831, 24751])).
% 9.28/6.85 tff(24833,plain,
% 9.28/6.85 (((~![B: $i] : ((~less_3(B)) | (v124(constB183, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v124(constB183, bitIndex2) <=> b010(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB183, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v124(constB183, bitIndex2) <=> b010(bitIndex2)))),
% 9.28/6.85 inference(rewrite,[status(thm)],[])).
% 9.28/6.85 tff(24834,plain,
% 9.28/6.85 ((~![B: $i] : ((~less_3(B)) | (v124(constB183, B) <=> b010(B)))) | ((~less_3(bitIndex2)) | (v124(constB183, bitIndex2) <=> b010(bitIndex2)))),
% 9.28/6.85 inference(quant_inst,[status(thm)],[])).
% 9.28/6.85 tff(24835,plain,
% 9.28/6.85 ((~![B: $i] : ((~less_3(B)) | (v124(constB183, B) <=> b010(B)))) | (~less_3(bitIndex2)) | (v124(constB183, bitIndex2) <=> b010(bitIndex2))),
% 9.28/6.85 inference(modus_ponens,[status(thm)],[24834, 24833])).
% 9.28/6.85 tff(24836,plain,
% 9.28/6.85 (v124(constB183, bitIndex2) <=> b010(bitIndex2)),
% 9.28/6.85 inference(unit_resolution,[status(thm)],[24835, 832, 24832])).
% 9.28/6.85 tff(24837,plain,
% 9.28/6.85 ((~(v124(constB183, bitIndex2) <=> b010(bitIndex2))) | (~v124(constB183, bitIndex2)) | b010(bitIndex2)),
% 9.28/6.85 inference(tautology,[status(thm)],[])).
% 9.28/6.85 tff(24838,plain,
% 9.28/6.85 ((~(v124(constB183, bitIndex2) <=> b010(bitIndex2))) | (~v124(constB183, bitIndex2))),
% 9.28/6.85 inference(unit_resolution,[status(thm)],[24837, 10161])).
% 9.28/6.85 tff(24839,plain,
% 9.28/6.85 (~v124(constB183, bitIndex2)),
% 9.28/6.85 inference(unit_resolution,[status(thm)],[24838, 24836])).
% 9.28/6.85 tff(24840,plain,
% 9.28/6.85 ((~(v121(constB183, bitIndex2) <=> v124(constB183, bitIndex2))) | (~v121(constB183, bitIndex2)) | v124(constB183, bitIndex2)),
% 9.28/6.85 inference(tautology,[status(thm)],[])).
% 9.28/6.85 tff(24841,plain,
% 9.28/6.85 (~v121(constB183, bitIndex2)),
% 9.28/6.85 inference(unit_resolution,[status(thm)],[24840, 24839, 24827])).
% 9.28/6.85 tff(24842,plain,
% 9.28/6.85 ((~(v123(constB184, bitIndex2) <=> v121(constB183, bitIndex2))) | (~v123(constB184, bitIndex2)) | v121(constB183, bitIndex2)),
% 9.28/6.85 inference(tautology,[status(thm)],[])).
% 9.28/6.85 tff(24843,plain,
% 9.28/6.85 (~v123(constB184, bitIndex2)),
% 9.28/6.85 inference(unit_resolution,[status(thm)],[24842, 24841, 24819])).
% 9.28/6.85 tff(24844,plain,
% 9.28/6.85 ((~(v84(constB184, bitIndex2) <=> v123(constB184, bitIndex2))) | (~v84(constB184, bitIndex2)) | v123(constB184, bitIndex2)),
% 9.28/6.85 inference(tautology,[status(thm)],[])).
% 9.28/6.85 tff(24845,plain,
% 9.28/6.85 (~v84(constB184, bitIndex2)),
% 9.28/6.85 inference(unit_resolution,[status(thm)],[24844, 24843, 24811])).
% 9.28/6.85 tff(24846,plain,
% 9.28/6.85 ((~(v84(constB185, bitIndex2) <=> v84(constB184, bitIndex2))) | (~v84(constB185, bitIndex2)) | v84(constB184, bitIndex2)),
% 9.28/6.85 inference(tautology,[status(thm)],[])).
% 9.28/6.85 tff(24847,plain,
% 9.28/6.85 (~v84(constB185, bitIndex2)),
% 9.28/6.85 inference(unit_resolution,[status(thm)],[24846, 24845, 1333])).
% 9.28/6.85 tff(24848,plain,
% 9.28/6.85 (((~![B: $i] : ((~less_3(B)) | (v84(constB185, B) <=> v84(constB184, B)))) | ((~less_3(bitIndex0)) | (v84(constB185, bitIndex0) <=> v84(constB184, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB185, B) <=> v84(constB184, B)))) | (~less_3(bitIndex0)) | (v84(constB185, bitIndex0) <=> v84(constB184, bitIndex0)))),
% 9.28/6.85 inference(rewrite,[status(thm)],[])).
% 9.28/6.85 tff(24849,plain,
% 9.28/6.85 ((~![B: $i] : ((~less_3(B)) | (v84(constB185, B) <=> v84(constB184, B)))) | ((~less_3(bitIndex0)) | (v84(constB185, bitIndex0) <=> v84(constB184, bitIndex0)))),
% 9.28/6.85 inference(quant_inst,[status(thm)],[])).
% 9.28/6.85 tff(24850,plain,
% 9.28/6.85 ((~![B: $i] : ((~less_3(B)) | (v84(constB185, B) <=> v84(constB184, B)))) | (~less_3(bitIndex0)) | (v84(constB185, bitIndex0) <=> v84(constB184, bitIndex0))),
% 9.28/6.85 inference(modus_ponens,[status(thm)],[24849, 24848])).
% 9.28/6.85 tff(24851,plain,
% 9.28/6.85 (v84(constB185, bitIndex0) <=> v84(constB184, bitIndex0)),
% 9.28/6.85 inference(unit_resolution,[status(thm)],[24850, 9772, 1329])).
% 9.28/6.85 tff(24852,plain,
% 9.28/6.85 (((~![B: $i] : ((~less_3(B)) | (v84(constB184, B) <=> v123(constB184, B)))) | ((~less_3(bitIndex0)) | (v84(constB184, bitIndex0) <=> v123(constB184, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB184, B) <=> v123(constB184, B)))) | (~less_3(bitIndex0)) | (v84(constB184, bitIndex0) <=> v123(constB184, bitIndex0)))),
% 9.28/6.85 inference(rewrite,[status(thm)],[])).
% 9.28/6.85 tff(24853,plain,
% 9.28/6.85 ((~![B: $i] : ((~less_3(B)) | (v84(constB184, B) <=> v123(constB184, B)))) | ((~less_3(bitIndex0)) | (v84(constB184, bitIndex0) <=> v123(constB184, bitIndex0)))),
% 9.28/6.85 inference(quant_inst,[status(thm)],[])).
% 9.28/6.85 tff(24854,plain,
% 9.28/6.85 ((~![B: $i] : ((~less_3(B)) | (v84(constB184, B) <=> v123(constB184, B)))) | (~less_3(bitIndex0)) | (v84(constB184, bitIndex0) <=> v123(constB184, bitIndex0))),
% 9.28/6.85 inference(modus_ponens,[status(thm)],[24853, 24852])).
% 9.28/6.85 tff(24855,plain,
% 9.28/6.85 (v84(constB184, bitIndex0) <=> v123(constB184, bitIndex0)),
% 9.28/6.85 inference(unit_resolution,[status(thm)],[24854, 9772, 24807])).
% 9.28/6.85 tff(24856,plain,
% 9.28/6.85 (((~![B: $i] : ((~less_3(B)) | (v123(constB184, B) <=> v121(constB183, B)))) | ((~less_3(bitIndex0)) | (v123(constB184, bitIndex0) <=> v121(constB183, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB184, B) <=> v121(constB183, B)))) | (~less_3(bitIndex0)) | (v123(constB184, bitIndex0) <=> v121(constB183, bitIndex0)))),
% 9.28/6.85 inference(rewrite,[status(thm)],[])).
% 9.28/6.85 tff(24857,plain,
% 9.28/6.85 ((~![B: $i] : ((~less_3(B)) | (v123(constB184, B) <=> v121(constB183, B)))) | ((~less_3(bitIndex0)) | (v123(constB184, bitIndex0) <=> v121(constB183, bitIndex0)))),
% 9.28/6.85 inference(quant_inst,[status(thm)],[])).
% 9.28/6.85 tff(24858,plain,
% 9.28/6.85 ((~![B: $i] : ((~less_3(B)) | (v123(constB184, B) <=> v121(constB183, B)))) | (~less_3(bitIndex0)) | (v123(constB184, bitIndex0) <=> v121(constB183, bitIndex0))),
% 9.28/6.85 inference(modus_ponens,[status(thm)],[24857, 24856])).
% 9.28/6.85 tff(24859,plain,
% 9.28/6.85 (v123(constB184, bitIndex0) <=> v121(constB183, bitIndex0)),
% 9.28/6.85 inference(unit_resolution,[status(thm)],[24858, 9772, 24815])).
% 9.28/6.85 tff(24860,plain,
% 9.28/6.85 (((~![B: $i] : ((~less_3(B)) | (v121(constB183, B) <=> v124(constB183, B)))) | ((~less_3(bitIndex0)) | (v121(constB183, bitIndex0) <=> v124(constB183, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB183, B) <=> v124(constB183, B)))) | (~less_3(bitIndex0)) | (v121(constB183, bitIndex0) <=> v124(constB183, bitIndex0)))),
% 9.28/6.85 inference(rewrite,[status(thm)],[])).
% 9.28/6.85 tff(24861,plain,
% 9.28/6.85 ((~![B: $i] : ((~less_3(B)) | (v121(constB183, B) <=> v124(constB183, B)))) | ((~less_3(bitIndex0)) | (v121(constB183, bitIndex0) <=> v124(constB183, bitIndex0)))),
% 9.28/6.85 inference(quant_inst,[status(thm)],[])).
% 9.28/6.85 tff(24862,plain,
% 9.28/6.85 ((~![B: $i] : ((~less_3(B)) | (v121(constB183, B) <=> v124(constB183, B)))) | (~less_3(bitIndex0)) | (v121(constB183, bitIndex0) <=> v124(constB183, bitIndex0))),
% 9.28/6.85 inference(modus_ponens,[status(thm)],[24861, 24860])).
% 9.28/6.85 tff(24863,plain,
% 9.28/6.85 (v121(constB183, bitIndex0) <=> v124(constB183, bitIndex0)),
% 9.28/6.85 inference(unit_resolution,[status(thm)],[24862, 9772, 24823])).
% 9.28/6.85 tff(24864,plain,
% 9.28/6.85 (((~![B: $i] : ((~less_3(B)) | (v124(constB183, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v124(constB183, bitIndex0) <=> b010(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB183, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v124(constB183, bitIndex0) <=> b010(bitIndex0)))),
% 9.28/6.85 inference(rewrite,[status(thm)],[])).
% 9.28/6.85 tff(24865,plain,
% 9.28/6.85 ((~![B: $i] : ((~less_3(B)) | (v124(constB183, B) <=> b010(B)))) | ((~less_3(bitIndex0)) | (v124(constB183, bitIndex0) <=> b010(bitIndex0)))),
% 9.28/6.85 inference(quant_inst,[status(thm)],[])).
% 9.28/6.85 tff(24866,plain,
% 9.28/6.85 ((~![B: $i] : ((~less_3(B)) | (v124(constB183, B) <=> b010(B)))) | (~less_3(bitIndex0)) | (v124(constB183, bitIndex0) <=> b010(bitIndex0))),
% 9.28/6.85 inference(modus_ponens,[status(thm)],[24865, 24864])).
% 9.28/6.85 tff(24867,plain,
% 9.28/6.85 (v124(constB183, bitIndex0) <=> b010(bitIndex0)),
% 9.28/6.85 inference(unit_resolution,[status(thm)],[24866, 9772, 24832])).
% 9.28/6.85 tff(24868,plain,
% 9.28/6.85 ((~(v124(constB183, bitIndex0) <=> b010(bitIndex0))) | (~v124(constB183, bitIndex0)) | b010(bitIndex0)),
% 9.28/6.85 inference(tautology,[status(thm)],[])).
% 9.28/6.85 tff(24869,plain,
% 9.28/6.85 ((~(v124(constB183, bitIndex0) <=> b010(bitIndex0))) | (~v124(constB183, bitIndex0))),
% 9.28/6.85 inference(unit_resolution,[status(thm)],[24868, 10195])).
% 9.28/6.85 tff(24870,plain,
% 9.28/6.85 (~v124(constB183, bitIndex0)),
% 9.28/6.85 inference(unit_resolution,[status(thm)],[24869, 24867])).
% 9.28/6.85 tff(24871,plain,
% 9.28/6.85 ((~(v121(constB183, bitIndex0) <=> v124(constB183, bitIndex0))) | (~v121(constB183, bitIndex0)) | v124(constB183, bitIndex0)),
% 9.28/6.85 inference(tautology,[status(thm)],[])).
% 9.28/6.85 tff(24872,plain,
% 9.28/6.85 (~v121(constB183, bitIndex0)),
% 9.28/6.85 inference(unit_resolution,[status(thm)],[24871, 24870, 24863])).
% 9.28/6.85 tff(24873,plain,
% 9.28/6.85 ((~(v123(constB184, bitIndex0) <=> v121(constB183, bitIndex0))) | (~v123(constB184, bitIndex0)) | v121(constB183, bitIndex0)),
% 9.28/6.85 inference(tautology,[status(thm)],[])).
% 9.28/6.85 tff(24874,plain,
% 9.28/6.85 (~v123(constB184, bitIndex0)),
% 9.28/6.85 inference(unit_resolution,[status(thm)],[24873, 24872, 24859])).
% 9.28/6.85 tff(24875,plain,
% 9.28/6.85 ((~(v84(constB184, bitIndex0) <=> v123(constB184, bitIndex0))) | (~v84(constB184, bitIndex0)) | v123(constB184, bitIndex0)),
% 9.28/6.85 inference(tautology,[status(thm)],[])).
% 9.28/6.85 tff(24876,plain,
% 9.28/6.85 (~v84(constB184, bitIndex0)),
% 9.28/6.85 inference(unit_resolution,[status(thm)],[24875, 24874, 24855])).
% 9.28/6.85 tff(24877,plain,
% 9.28/6.85 ((~(v84(constB185, bitIndex0) <=> v84(constB184, bitIndex0))) | (~v84(constB185, bitIndex0)) | v84(constB184, bitIndex0)),
% 9.28/6.85 inference(tautology,[status(thm)],[])).
% 9.28/6.85 tff(24878,plain,
% 9.28/6.85 (~v84(constB185, bitIndex0)),
% 9.28/6.85 inference(unit_resolution,[status(thm)],[24877, 24876, 24851])).
% 9.28/6.85 tff(24879,plain,
% 9.28/6.85 (((~![B: $i] : ((~less_3(B)) | (v84(constB185, B) <=> v84(constB184, B)))) | ((~less_3(bitIndex1)) | (v84(constB185, bitIndex1) <=> v84(constB184, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB185, B) <=> v84(constB184, B)))) | (~less_3(bitIndex1)) | (v84(constB185, bitIndex1) <=> v84(constB184, bitIndex1)))),
% 9.28/6.85 inference(rewrite,[status(thm)],[])).
% 9.28/6.85 tff(24880,plain,
% 9.28/6.85 ((~![B: $i] : ((~less_3(B)) | (v84(constB185, B) <=> v84(constB184, B)))) | ((~less_3(bitIndex1)) | (v84(constB185, bitIndex1) <=> v84(constB184, bitIndex1)))),
% 9.28/6.85 inference(quant_inst,[status(thm)],[])).
% 9.28/6.85 tff(24881,plain,
% 9.28/6.85 ((~![B: $i] : ((~less_3(B)) | (v84(constB185, B) <=> v84(constB184, B)))) | (~less_3(bitIndex1)) | (v84(constB185, bitIndex1) <=> v84(constB184, bitIndex1))),
% 9.28/6.85 inference(modus_ponens,[status(thm)],[24880, 24879])).
% 9.28/6.85 tff(24882,plain,
% 9.28/6.85 (v84(constB185, bitIndex1) <=> v84(constB184, bitIndex1)),
% 9.28/6.85 inference(unit_resolution,[status(thm)],[24881, 9785, 1329])).
% 9.28/6.85 tff(24883,plain,
% 9.28/6.85 (((~![B: $i] : ((~less_3(B)) | (v84(constB184, B) <=> v123(constB184, B)))) | ((~less_3(bitIndex1)) | (v84(constB184, bitIndex1) <=> v123(constB184, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB184, B) <=> v123(constB184, B)))) | (~less_3(bitIndex1)) | (v84(constB184, bitIndex1) <=> v123(constB184, bitIndex1)))),
% 9.28/6.85 inference(rewrite,[status(thm)],[])).
% 9.28/6.85 tff(24884,plain,
% 9.28/6.85 ((~![B: $i] : ((~less_3(B)) | (v84(constB184, B) <=> v123(constB184, B)))) | ((~less_3(bitIndex1)) | (v84(constB184, bitIndex1) <=> v123(constB184, bitIndex1)))),
% 9.28/6.85 inference(quant_inst,[status(thm)],[])).
% 9.28/6.85 tff(24885,plain,
% 9.28/6.85 ((~![B: $i] : ((~less_3(B)) | (v84(constB184, B) <=> v123(constB184, B)))) | (~less_3(bitIndex1)) | (v84(constB184, bitIndex1) <=> v123(constB184, bitIndex1))),
% 9.28/6.85 inference(modus_ponens,[status(thm)],[24884, 24883])).
% 9.28/6.85 tff(24886,plain,
% 9.28/6.85 (v84(constB184, bitIndex1) <=> v123(constB184, bitIndex1)),
% 9.28/6.85 inference(unit_resolution,[status(thm)],[24885, 9785, 24807])).
% 9.28/6.85 tff(24887,plain,
% 9.28/6.85 (((~![B: $i] : ((~less_3(B)) | (v123(constB184, B) <=> v121(constB183, B)))) | ((~less_3(bitIndex1)) | (v123(constB184, bitIndex1) <=> v121(constB183, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB184, B) <=> v121(constB183, B)))) | (~less_3(bitIndex1)) | (v123(constB184, bitIndex1) <=> v121(constB183, bitIndex1)))),
% 9.28/6.85 inference(rewrite,[status(thm)],[])).
% 9.28/6.85 tff(24888,plain,
% 9.28/6.85 ((~![B: $i] : ((~less_3(B)) | (v123(constB184, B) <=> v121(constB183, B)))) | ((~less_3(bitIndex1)) | (v123(constB184, bitIndex1) <=> v121(constB183, bitIndex1)))),
% 9.28/6.85 inference(quant_inst,[status(thm)],[])).
% 9.28/6.85 tff(24889,plain,
% 9.28/6.85 ((~![B: $i] : ((~less_3(B)) | (v123(constB184, B) <=> v121(constB183, B)))) | (~less_3(bitIndex1)) | (v123(constB184, bitIndex1) <=> v121(constB183, bitIndex1))),
% 9.28/6.85 inference(modus_ponens,[status(thm)],[24888, 24887])).
% 9.28/6.85 tff(24890,plain,
% 9.28/6.85 (v123(constB184, bitIndex1) <=> v121(constB183, bitIndex1)),
% 9.28/6.85 inference(unit_resolution,[status(thm)],[24889, 9785, 24815])).
% 9.28/6.85 tff(24891,plain,
% 9.28/6.85 (((~![B: $i] : ((~less_3(B)) | (v121(constB183, B) <=> v124(constB183, B)))) | ((~less_3(bitIndex1)) | (v121(constB183, bitIndex1) <=> v124(constB183, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB183, B) <=> v124(constB183, B)))) | (~less_3(bitIndex1)) | (v121(constB183, bitIndex1) <=> v124(constB183, bitIndex1)))),
% 9.28/6.85 inference(rewrite,[status(thm)],[])).
% 9.28/6.85 tff(24892,plain,
% 9.28/6.85 ((~![B: $i] : ((~less_3(B)) | (v121(constB183, B) <=> v124(constB183, B)))) | ((~less_3(bitIndex1)) | (v121(constB183, bitIndex1) <=> v124(constB183, bitIndex1)))),
% 9.28/6.85 inference(quant_inst,[status(thm)],[])).
% 9.28/6.85 tff(24893,plain,
% 9.28/6.85 ((~![B: $i] : ((~less_3(B)) | (v121(constB183, B) <=> v124(constB183, B)))) | (~less_3(bitIndex1)) | (v121(constB183, bitIndex1) <=> v124(constB183, bitIndex1))),
% 9.28/6.85 inference(modus_ponens,[status(thm)],[24892, 24891])).
% 9.28/6.85 tff(24894,plain,
% 9.28/6.85 (v121(constB183, bitIndex1) <=> v124(constB183, bitIndex1)),
% 9.28/6.85 inference(unit_resolution,[status(thm)],[24893, 9785, 24823])).
% 9.28/6.85 tff(24895,plain,
% 9.28/6.85 (((~![B: $i] : ((~less_3(B)) | (v124(constB183, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v124(constB183, bitIndex1) <=> b010(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB183, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v124(constB183, bitIndex1) <=> b010(bitIndex1)))),
% 9.28/6.85 inference(rewrite,[status(thm)],[])).
% 9.28/6.85 tff(24896,plain,
% 9.28/6.85 ((~![B: $i] : ((~less_3(B)) | (v124(constB183, B) <=> b010(B)))) | ((~less_3(bitIndex1)) | (v124(constB183, bitIndex1) <=> b010(bitIndex1)))),
% 9.28/6.85 inference(quant_inst,[status(thm)],[])).
% 9.28/6.85 tff(24897,plain,
% 9.28/6.85 ((~![B: $i] : ((~less_3(B)) | (v124(constB183, B) <=> b010(B)))) | (~less_3(bitIndex1)) | (v124(constB183, bitIndex1) <=> b010(bitIndex1))),
% 9.28/6.85 inference(modus_ponens,[status(thm)],[24896, 24895])).
% 9.28/6.85 tff(24898,plain,
% 9.28/6.85 (v124(constB183, bitIndex1) <=> b010(bitIndex1)),
% 9.28/6.85 inference(unit_resolution,[status(thm)],[24897, 9785, 24832])).
% 9.28/6.85 tff(24899,plain,
% 9.28/6.85 ((~(v124(constB183, bitIndex1) <=> b010(bitIndex1))) | v124(constB183, bitIndex1) | (~b010(bitIndex1))),
% 9.28/6.85 inference(tautology,[status(thm)],[])).
% 9.28/6.85 tff(24900,plain,
% 9.28/6.85 ((~(v124(constB183, bitIndex1) <=> b010(bitIndex1))) | v124(constB183, bitIndex1)),
% 9.28/6.85 inference(unit_resolution,[status(thm)],[24899, 10229])).
% 9.28/6.85 tff(24901,plain,
% 9.28/6.85 (v124(constB183, bitIndex1)),
% 9.28/6.85 inference(unit_resolution,[status(thm)],[24900, 24898])).
% 9.28/6.85 tff(24902,plain,
% 9.28/6.85 ((~(v121(constB183, bitIndex1) <=> v124(constB183, bitIndex1))) | v121(constB183, bitIndex1) | (~v124(constB183, bitIndex1))),
% 9.28/6.85 inference(tautology,[status(thm)],[])).
% 9.28/6.85 tff(24903,plain,
% 9.28/6.85 (v121(constB183, bitIndex1)),
% 9.28/6.85 inference(unit_resolution,[status(thm)],[24902, 24901, 24894])).
% 9.28/6.85 tff(24904,plain,
% 9.28/6.85 ((~(v123(constB184, bitIndex1) <=> v121(constB183, bitIndex1))) | v123(constB184, bitIndex1) | (~v121(constB183, bitIndex1))),
% 9.28/6.85 inference(tautology,[status(thm)],[])).
% 9.28/6.85 tff(24905,plain,
% 9.28/6.85 (v123(constB184, bitIndex1)),
% 9.28/6.85 inference(unit_resolution,[status(thm)],[24904, 24903, 24890])).
% 9.28/6.85 tff(24906,plain,
% 9.28/6.85 ((~(v84(constB184, bitIndex1) <=> v123(constB184, bitIndex1))) | v84(constB184, bitIndex1) | (~v123(constB184, bitIndex1))),
% 9.28/6.85 inference(tautology,[status(thm)],[])).
% 9.28/6.85 tff(24907,plain,
% 9.28/6.85 (v84(constB184, bitIndex1)),
% 9.28/6.85 inference(unit_resolution,[status(thm)],[24906, 24905, 24886])).
% 9.28/6.85 tff(24908,plain,
% 9.28/6.85 ((~(v84(constB185, bitIndex1) <=> v84(constB184, bitIndex1))) | v84(constB185, bitIndex1) | (~v84(constB184, bitIndex1))),
% 9.28/6.85 inference(tautology,[status(thm)],[])).
% 9.28/6.85 tff(24909,plain,
% 9.28/6.85 (v84(constB185, bitIndex1)),
% 9.28/6.85 inference(unit_resolution,[status(thm)],[24908, 24907, 24882])).
% 9.28/6.85 tff(24910,plain,
% 9.28/6.85 ((~(v84(constB185, bitIndex2) | (~v84(constB185, bitIndex1)) | v84(constB185, bitIndex0))) | v84(constB185, bitIndex2) | (~v84(constB185, bitIndex1)) | v84(constB185, bitIndex0)),
% 9.28/6.85 inference(tautology,[status(thm)],[])).
% 9.28/6.85 tff(24911,plain,
% 9.28/6.85 (~(v84(constB185, bitIndex2) | (~v84(constB185, bitIndex1)) | v84(constB185, bitIndex0))),
% 9.28/6.85 inference(unit_resolution,[status(thm)],[24910, 24909, 24878, 24847])).
% 9.28/6.85 tff(24912,plain,
% 9.28/6.85 ((~(v115(constB185) <=> (~(v84(constB185, bitIndex2) | (~v84(constB185, bitIndex1)) | v84(constB185, bitIndex0))))) | v115(constB185) | (v84(constB185, bitIndex2) | (~v84(constB185, bitIndex1)) | v84(constB185, bitIndex0))),
% 9.28/6.85 inference(tautology,[status(thm)],[])).
% 9.28/6.85 tff(24913,plain,
% 9.28/6.85 (v115(constB185)),
% 9.28/6.85 inference(unit_resolution,[status(thm)],[24912, 24911, 1301])).
% 9.28/6.85 tff(24914,plain,
% 9.28/6.85 ((v112(constB185) | v115(constB185)) | (~v115(constB185))),
% 9.28/6.85 inference(tautology,[status(thm)],[])).
% 9.28/6.85 tff(24915,plain,
% 9.28/6.85 (v112(constB185) | v115(constB185)),
% 9.28/6.86 inference(unit_resolution,[status(thm)],[24914, 24913])).
% 9.28/6.86 tff(24916,plain,
% 9.28/6.86 ((~(v111(constB185) <=> (v112(constB185) | v115(constB185)))) | v111(constB185) | (~(v112(constB185) | v115(constB185)))),
% 9.28/6.86 inference(tautology,[status(thm)],[])).
% 9.28/6.86 tff(24917,plain,
% 9.28/6.86 (v111(constB185)),
% 9.28/6.86 inference(unit_resolution,[status(thm)],[24916, 24915, 1281])).
% 9.28/6.86 tff(24918,plain,
% 9.28/6.86 ((v111(constB185) | v116(constB185)) | (~v111(constB185))),
% 9.28/6.86 inference(tautology,[status(thm)],[])).
% 9.28/6.86 tff(24919,plain,
% 9.28/6.86 (v111(constB185) | v116(constB185)),
% 9.28/6.86 inference(unit_resolution,[status(thm)],[24918, 24917])).
% 9.28/6.86 tff(24920,plain,
% 9.28/6.86 ((~(v110(constB185) <=> (v111(constB185) | v116(constB185)))) | v110(constB185) | (~(v111(constB185) | v116(constB185)))),
% 9.28/6.86 inference(tautology,[status(thm)],[])).
% 9.28/6.86 tff(24921,plain,
% 9.28/6.86 (v110(constB185)),
% 9.28/6.86 inference(unit_resolution,[status(thm)],[24920, 24919, 1272])).
% 9.28/6.86 tff(24922,plain,
% 9.28/6.86 ((v110(constB185) | v117(constB185)) | (~v110(constB185))),
% 9.28/6.86 inference(tautology,[status(thm)],[])).
% 9.28/6.86 tff(24923,plain,
% 9.28/6.86 (v110(constB185) | v117(constB185)),
% 9.28/6.86 inference(unit_resolution,[status(thm)],[24922, 24921])).
% 9.28/6.86 tff(24924,plain,
% 9.28/6.86 ((~(v109(constB185) <=> (v110(constB185) | v117(constB185)))) | v109(constB185) | (~(v110(constB185) | v117(constB185)))),
% 9.28/6.86 inference(tautology,[status(thm)],[])).
% 9.28/6.86 tff(24925,plain,
% 9.28/6.86 (v109(constB185)),
% 9.28/6.86 inference(unit_resolution,[status(thm)],[24924, 24923, 1270])).
% 9.28/6.86 tff(24926,plain,
% 9.28/6.86 ((v109(constB185) | v118(constB185)) | (~v109(constB185))),
% 9.28/6.86 inference(tautology,[status(thm)],[])).
% 9.28/6.86 tff(24927,plain,
% 9.28/6.86 (v109(constB185) | v118(constB185)),
% 9.28/6.86 inference(unit_resolution,[status(thm)],[24926, 24925])).
% 9.28/6.86 tff(24928,plain,
% 9.28/6.86 ((~(v108(constB185) <=> (v109(constB185) | v118(constB185)))) | v108(constB185) | (~(v109(constB185) | v118(constB185)))),
% 9.28/6.86 inference(tautology,[status(thm)],[])).
% 9.28/6.86 tff(24929,plain,
% 9.28/6.86 (v108(constB185)),
% 9.28/6.86 inference(unit_resolution,[status(thm)],[24928, 24927, 1268])).
% 9.28/6.86 tff(24930,plain,
% 9.28/6.86 ((v108(constB185) | v119(constB185)) | (~v108(constB185))),
% 9.28/6.86 inference(tautology,[status(thm)],[])).
% 9.28/6.86 tff(24931,plain,
% 9.28/6.86 (v108(constB185) | v119(constB185)),
% 9.28/6.86 inference(unit_resolution,[status(thm)],[24930, 24929])).
% 9.28/6.86 tff(24932,plain,
% 9.28/6.86 ((~(v107(constB185) <=> (v108(constB185) | v119(constB185)))) | v107(constB185) | (~(v108(constB185) | v119(constB185)))),
% 9.28/6.86 inference(tautology,[status(thm)],[])).
% 9.28/6.86 tff(24933,plain,
% 9.28/6.86 (v107(constB185)),
% 9.28/6.86 inference(unit_resolution,[status(thm)],[24932, 24931, 1266])).
% 9.28/6.86 tff(24934,plain,
% 9.28/6.86 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB185)) <=> v105(constB185))),
% 9.28/6.86 inference(quant_inst,[status(thm)],[])).
% 9.28/6.86 tff(24935,plain,
% 9.28/6.86 ((~v120(constB185)) <=> v105(constB185)),
% 9.28/6.86 inference(unit_resolution,[status(thm)],[24934, 9842])).
% 9.28/6.86 tff(24936,plain,
% 9.28/6.86 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB185) <=> v26(constB185))),
% 9.28/6.86 inference(quant_inst,[status(thm)],[])).
% 9.28/6.86 tff(24937,plain,
% 9.28/6.86 (v105(constB185) <=> v26(constB185)),
% 9.28/6.86 inference(unit_resolution,[status(thm)],[24936, 9854])).
% 9.28/6.86 tff(24938,plain,
% 9.28/6.86 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB185))),
% 9.28/6.86 inference(quant_inst,[status(thm)],[])).
% 9.28/6.86 tff(24939,plain,
% 9.28/6.86 (~v26(constB185)),
% 9.28/6.86 inference(unit_resolution,[status(thm)],[24938, 9866])).
% 9.28/6.86 tff(24940,plain,
% 9.28/6.86 ((~(v105(constB185) <=> v26(constB185))) | (~v105(constB185)) | v26(constB185)),
% 9.28/6.86 inference(tautology,[status(thm)],[])).
% 9.28/6.86 tff(24941,plain,
% 9.28/6.86 ((~(v105(constB185) <=> v26(constB185))) | (~v105(constB185))),
% 9.28/6.86 inference(unit_resolution,[status(thm)],[24940, 24939])).
% 9.28/6.86 tff(24942,plain,
% 9.28/6.86 (~v105(constB185)),
% 9.28/6.86 inference(unit_resolution,[status(thm)],[24941, 24937])).
% 9.28/6.86 tff(24943,plain,
% 9.28/6.86 ((~((~v120(constB185)) <=> v105(constB185))) | v120(constB185) | v105(constB185)),
% 9.28/6.86 inference(tautology,[status(thm)],[])).
% 9.28/6.86 tff(24944,plain,
% 9.28/6.86 ((~((~v120(constB185)) <=> v105(constB185))) | v120(constB185)),
% 9.28/6.86 inference(unit_resolution,[status(thm)],[24943, 24942])).
% 9.28/6.86 tff(24945,plain,
% 9.28/6.86 (v120(constB185)),
% 9.28/6.86 inference(unit_resolution,[status(thm)],[24944, 24935])).
% 9.28/6.86 tff(24946,plain,
% 9.28/6.86 ((~((~v107(constB185)) | (~v120(constB185)))) | (~v107(constB185)) | (~v120(constB185))),
% 9.28/6.86 inference(tautology,[status(thm)],[])).
% 9.28/6.86 tff(24947,plain,
% 9.28/6.86 ((~((~v107(constB185)) | (~v120(constB185)))) | (~v107(constB185))),
% 9.28/6.86 inference(unit_resolution,[status(thm)],[24946, 24945])).
% 9.28/6.86 tff(24948,plain,
% 9.28/6.86 (~((~v107(constB185)) | (~v120(constB185)))),
% 9.28/6.86 inference(unit_resolution,[status(thm)],[24947, 24933])).
% 9.28/6.86 tff(24949,plain,
% 9.28/6.86 ((~(v106(constB185) <=> (~((~v107(constB185)) | (~v120(constB185)))))) | v106(constB185) | ((~v107(constB185)) | (~v120(constB185)))),
% 9.28/6.86 inference(tautology,[status(thm)],[])).
% 9.28/6.86 tff(24950,plain,
% 9.28/6.86 (v106(constB185)),
% 9.28/6.86 inference(unit_resolution,[status(thm)],[24949, 24948, 1264])).
% 9.28/6.86 tff(24951,plain,
% 9.28/6.86 ((v105(constB185) | v106(constB185)) | (~v106(constB185))),
% 9.28/6.86 inference(tautology,[status(thm)],[])).
% 9.28/6.86 tff(24952,plain,
% 9.28/6.86 (v105(constB185) | v106(constB185)),
% 9.28/6.86 inference(unit_resolution,[status(thm)],[24951, 24950])).
% 9.28/6.86 tff(24953,plain,
% 9.28/6.86 ((~(v102(constB185) <=> (v105(constB185) | v106(constB185)))) | v102(constB185) | (~(v105(constB185) | v106(constB185)))),
% 9.28/6.86 inference(tautology,[status(thm)],[])).
% 9.28/6.86 tff(24954,plain,
% 9.28/6.86 (v102(constB185)),
% 9.28/6.86 inference(unit_resolution,[status(thm)],[24953, 24952, 1262])).
% 9.28/6.86 tff(24955,plain,
% 9.28/6.86 ((~(v104(constB186) <=> v102(constB185))) | v104(constB186) | (~v102(constB185))),
% 9.28/6.86 inference(tautology,[status(thm)],[])).
% 9.28/6.86 tff(24956,plain,
% 9.28/6.86 (v104(constB186)),
% 9.28/6.86 inference(unit_resolution,[status(thm)],[24955, 24954, 1260])).
% 9.28/6.86 tff(24957,plain,
% 9.28/6.86 ((~((~v104(constB186)) | (~v95(constB186)))) | (~v104(constB186)) | (~v95(constB186))),
% 9.28/6.86 inference(tautology,[status(thm)],[])).
% 9.28/6.86 tff(24958,plain,
% 9.28/6.86 (~((~v104(constB186)) | (~v95(constB186)))),
% 9.28/6.86 inference(unit_resolution,[status(thm)],[24957, 24956, 1256])).
% 9.28/6.86 tff(24959,plain,
% 9.28/6.86 ((~(v94(constB186) <=> (~((~v104(constB186)) | (~v95(constB186)))))) | v94(constB186) | ((~v104(constB186)) | (~v95(constB186)))),
% 9.28/6.86 inference(tautology,[status(thm)],[])).
% 9.28/6.86 tff(24960,plain,
% 9.28/6.86 (v94(constB186)),
% 9.28/6.86 inference(unit_resolution,[status(thm)],[24959, 24958, 1225])).
% 9.28/6.86 tff(24961,plain,
% 9.28/6.86 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB186)) | ![B: $i] : ((~less_3(B)) | (v84(constB186, B) <=> v123(constB186, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB186)) | ![B: $i] : ((~less_3(B)) | (v84(constB186, B) <=> v123(constB186, B))))),
% 9.28/6.86 inference(rewrite,[status(thm)],[])).
% 9.28/6.86 tff(24962,plain,
% 9.28/6.86 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB186)) | ![B: $i] : ((~less_3(B)) | (v84(constB186, B) <=> v123(constB186, B))))),
% 9.28/6.86 inference(quant_inst,[status(thm)],[])).
% 9.28/6.86 tff(24963,plain,
% 9.28/6.86 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB186)) | ![B: $i] : ((~less_3(B)) | (v84(constB186, B) <=> v123(constB186, B)))),
% 9.28/6.86 inference(modus_ponens,[status(thm)],[24962, 24961])).
% 9.28/6.86 tff(24964,plain,
% 9.28/6.86 ((~v94(constB186)) | ![B: $i] : ((~less_3(B)) | (v84(constB186, B) <=> v123(constB186, B)))),
% 9.28/6.86 inference(unit_resolution,[status(thm)],[24963, 9902])).
% 9.28/6.86 tff(24965,plain,
% 9.28/6.86 (![B: $i] : ((~less_3(B)) | (v84(constB186, B) <=> v123(constB186, B)))),
% 9.28/6.86 inference(unit_resolution,[status(thm)],[24964, 24960])).
% 9.28/6.86 tff(24966,plain,
% 9.28/6.86 (((~![B: $i] : ((~less_3(B)) | (v84(constB186, B) <=> v123(constB186, B)))) | ((~less_3(bitIndex2)) | (v84(constB186, bitIndex2) <=> v123(constB186, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB186, B) <=> v123(constB186, B)))) | (~less_3(bitIndex2)) | (v84(constB186, bitIndex2) <=> v123(constB186, bitIndex2)))),
% 9.28/6.86 inference(rewrite,[status(thm)],[])).
% 9.28/6.86 tff(24967,plain,
% 9.28/6.86 ((~![B: $i] : ((~less_3(B)) | (v84(constB186, B) <=> v123(constB186, B)))) | ((~less_3(bitIndex2)) | (v84(constB186, bitIndex2) <=> v123(constB186, bitIndex2)))),
% 9.28/6.86 inference(quant_inst,[status(thm)],[])).
% 9.28/6.86 tff(24968,plain,
% 9.28/6.86 ((~![B: $i] : ((~less_3(B)) | (v84(constB186, B) <=> v123(constB186, B)))) | (~less_3(bitIndex2)) | (v84(constB186, bitIndex2) <=> v123(constB186, bitIndex2))),
% 9.28/6.86 inference(modus_ponens,[status(thm)],[24967, 24966])).
% 9.28/6.86 tff(24969,plain,
% 9.28/6.86 (v84(constB186, bitIndex2) <=> v123(constB186, bitIndex2)),
% 9.28/6.86 inference(unit_resolution,[status(thm)],[24968, 832, 24965])).
% 9.28/6.86 tff(24970,plain,
% 9.28/6.86 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB185, constB186)) | ![B: $i] : ((~less_3(B)) | (v123(constB186, B) <=> v121(constB185, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB185, constB186)) | ![B: $i] : ((~less_3(B)) | (v123(constB186, B) <=> v121(constB185, B))))),
% 9.28/6.86 inference(rewrite,[status(thm)],[])).
% 9.28/6.86 tff(24971,plain,
% 9.28/6.86 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB185, constB186)) | ![B: $i] : ((~less_3(B)) | (v123(constB186, B) <=> v121(constB185, B))))),
% 9.28/6.86 inference(quant_inst,[status(thm)],[])).
% 9.28/6.86 tff(24972,plain,
% 9.28/6.86 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB185, constB186)) | ![B: $i] : ((~less_3(B)) | (v123(constB186, B) <=> v121(constB185, B)))),
% 9.28/6.86 inference(modus_ponens,[status(thm)],[24971, 24970])).
% 9.28/6.86 tff(24973,plain,
% 9.28/6.86 (![B: $i] : ((~less_3(B)) | (v123(constB186, B) <=> v121(constB185, B)))),
% 9.28/6.86 inference(unit_resolution,[status(thm)],[24972, 1221, 9924])).
% 9.28/6.86 tff(24974,plain,
% 9.28/6.86 (((~![B: $i] : ((~less_3(B)) | (v123(constB186, B) <=> v121(constB185, B)))) | ((~less_3(bitIndex2)) | (v123(constB186, bitIndex2) <=> v121(constB185, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB186, B) <=> v121(constB185, B)))) | (~less_3(bitIndex2)) | (v123(constB186, bitIndex2) <=> v121(constB185, bitIndex2)))),
% 9.28/6.86 inference(rewrite,[status(thm)],[])).
% 9.28/6.86 tff(24975,plain,
% 9.28/6.86 ((~![B: $i] : ((~less_3(B)) | (v123(constB186, B) <=> v121(constB185, B)))) | ((~less_3(bitIndex2)) | (v123(constB186, bitIndex2) <=> v121(constB185, bitIndex2)))),
% 9.28/6.86 inference(quant_inst,[status(thm)],[])).
% 9.28/6.86 tff(24976,plain,
% 9.28/6.86 ((~![B: $i] : ((~less_3(B)) | (v123(constB186, B) <=> v121(constB185, B)))) | (~less_3(bitIndex2)) | (v123(constB186, bitIndex2) <=> v121(constB185, bitIndex2))),
% 9.28/6.86 inference(modus_ponens,[status(thm)],[24975, 24974])).
% 9.28/6.86 tff(24977,plain,
% 9.28/6.86 (v123(constB186, bitIndex2) <=> v121(constB185, bitIndex2)),
% 9.28/6.86 inference(unit_resolution,[status(thm)],[24976, 832, 24973])).
% 9.28/6.86 tff(24978,plain,
% 9.28/6.86 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB185) | ![B: $i] : ((~less_3(B)) | (v121(constB185, B) <=> v124(constB185, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB185) | ![B: $i] : ((~less_3(B)) | (v121(constB185, B) <=> v124(constB185, B))))),
% 9.28/6.86 inference(rewrite,[status(thm)],[])).
% 9.28/6.86 tff(24979,plain,
% 9.28/6.86 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB185) | ![B: $i] : ((~less_3(B)) | (v121(constB185, B) <=> v124(constB185, B))))),
% 9.28/6.86 inference(quant_inst,[status(thm)],[])).
% 9.28/6.86 tff(24980,plain,
% 9.28/6.86 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB185) | ![B: $i] : ((~less_3(B)) | (v121(constB185, B) <=> v124(constB185, B)))),
% 9.28/6.86 inference(modus_ponens,[status(thm)],[24979, 24978])).
% 9.28/6.86 tff(24981,plain,
% 9.28/6.86 (![B: $i] : ((~less_3(B)) | (v121(constB185, B) <=> v124(constB185, B)))),
% 9.28/6.86 inference(unit_resolution,[status(thm)],[24980, 9945, 24942])).
% 9.28/6.86 tff(24982,plain,
% 9.28/6.86 (((~![B: $i] : ((~less_3(B)) | (v121(constB185, B) <=> v124(constB185, B)))) | ((~less_3(bitIndex2)) | (v121(constB185, bitIndex2) <=> v124(constB185, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB185, B) <=> v124(constB185, B)))) | (~less_3(bitIndex2)) | (v121(constB185, bitIndex2) <=> v124(constB185, bitIndex2)))),
% 9.28/6.86 inference(rewrite,[status(thm)],[])).
% 9.28/6.86 tff(24983,plain,
% 9.28/6.86 ((~![B: $i] : ((~less_3(B)) | (v121(constB185, B) <=> v124(constB185, B)))) | ((~less_3(bitIndex2)) | (v121(constB185, bitIndex2) <=> v124(constB185, bitIndex2)))),
% 9.28/6.86 inference(quant_inst,[status(thm)],[])).
% 9.28/6.86 tff(24984,plain,
% 9.28/6.86 ((~![B: $i] : ((~less_3(B)) | (v121(constB185, B) <=> v124(constB185, B)))) | (~less_3(bitIndex2)) | (v121(constB185, bitIndex2) <=> v124(constB185, bitIndex2))),
% 9.28/6.86 inference(modus_ponens,[status(thm)],[24983, 24982])).
% 9.28/6.86 tff(24985,plain,
% 9.28/6.86 (v121(constB185, bitIndex2) <=> v124(constB185, bitIndex2)),
% 9.28/6.86 inference(unit_resolution,[status(thm)],[24984, 832, 24981])).
% 9.28/6.86 tff(24986,plain,
% 9.28/6.86 (((~![VarCurr: $i] : ((~v115(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b011(B))))) | ((~v115(constB185)) | ![B: $i] : ((~less_3(B)) | (v124(constB185, B) <=> b011(B))))) <=> ((~![VarCurr: $i] : ((~v115(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b011(B))))) | (~v115(constB185)) | ![B: $i] : ((~less_3(B)) | (v124(constB185, B) <=> b011(B))))),
% 9.28/6.86 inference(rewrite,[status(thm)],[])).
% 9.28/6.86 tff(24987,plain,
% 9.28/6.86 ((~![VarCurr: $i] : ((~v115(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b011(B))))) | ((~v115(constB185)) | ![B: $i] : ((~less_3(B)) | (v124(constB185, B) <=> b011(B))))),
% 9.28/6.86 inference(quant_inst,[status(thm)],[])).
% 9.28/6.86 tff(24988,plain,
% 9.28/6.86 ((~![VarCurr: $i] : ((~v115(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b011(B))))) | (~v115(constB185)) | ![B: $i] : ((~less_3(B)) | (v124(constB185, B) <=> b011(B)))),
% 9.28/6.86 inference(modus_ponens,[status(thm)],[24987, 24986])).
% 9.28/6.86 tff(24989,plain,
% 9.28/6.86 ((~v115(constB185)) | ![B: $i] : ((~less_3(B)) | (v124(constB185, B) <=> b011(B)))),
% 9.28/6.86 inference(unit_resolution,[status(thm)],[24988, 10329])).
% 9.28/6.86 tff(24990,plain,
% 9.28/6.86 (![B: $i] : ((~less_3(B)) | (v124(constB185, B) <=> b011(B)))),
% 9.28/6.86 inference(unit_resolution,[status(thm)],[24989, 24913])).
% 9.28/6.86 tff(24991,plain,
% 9.28/6.86 (((~![B: $i] : ((~less_3(B)) | (v124(constB185, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v124(constB185, bitIndex2) <=> b011(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB185, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v124(constB185, bitIndex2) <=> b011(bitIndex2)))),
% 9.28/6.86 inference(rewrite,[status(thm)],[])).
% 9.28/6.86 tff(24992,plain,
% 9.28/6.86 ((~![B: $i] : ((~less_3(B)) | (v124(constB185, B) <=> b011(B)))) | ((~less_3(bitIndex2)) | (v124(constB185, bitIndex2) <=> b011(bitIndex2)))),
% 9.28/6.86 inference(quant_inst,[status(thm)],[])).
% 9.28/6.86 tff(24993,plain,
% 9.28/6.86 ((~![B: $i] : ((~less_3(B)) | (v124(constB185, B) <=> b011(B)))) | (~less_3(bitIndex2)) | (v124(constB185, bitIndex2) <=> b011(bitIndex2))),
% 9.28/6.86 inference(modus_ponens,[status(thm)],[24992, 24991])).
% 9.28/6.86 tff(24994,plain,
% 9.28/6.86 (v124(constB185, bitIndex2) <=> b011(bitIndex2)),
% 9.28/6.86 inference(unit_resolution,[status(thm)],[24993, 832, 24990])).
% 9.28/6.86 tff(24995,plain,
% 9.28/6.86 ((~(v124(constB185, bitIndex2) <=> b011(bitIndex2))) | (~v124(constB185, bitIndex2)) | b011(bitIndex2)),
% 9.28/6.86 inference(tautology,[status(thm)],[])).
% 9.28/6.86 tff(24996,plain,
% 9.28/6.86 ((~(v124(constB185, bitIndex2) <=> b011(bitIndex2))) | (~v124(constB185, bitIndex2))),
% 9.28/6.86 inference(unit_resolution,[status(thm)],[24995, 10341])).
% 9.28/6.86 tff(24997,plain,
% 9.28/6.86 (~v124(constB185, bitIndex2)),
% 9.28/6.86 inference(unit_resolution,[status(thm)],[24996, 24994])).
% 9.28/6.86 tff(24998,plain,
% 9.28/6.86 ((~(v121(constB185, bitIndex2) <=> v124(constB185, bitIndex2))) | (~v121(constB185, bitIndex2)) | v124(constB185, bitIndex2)),
% 9.28/6.86 inference(tautology,[status(thm)],[])).
% 9.28/6.86 tff(24999,plain,
% 9.28/6.86 (~v121(constB185, bitIndex2)),
% 9.28/6.86 inference(unit_resolution,[status(thm)],[24998, 24997, 24985])).
% 9.28/6.86 tff(25000,plain,
% 9.28/6.86 ((~(v123(constB186, bitIndex2) <=> v121(constB185, bitIndex2))) | (~v123(constB186, bitIndex2)) | v121(constB185, bitIndex2)),
% 9.28/6.86 inference(tautology,[status(thm)],[])).
% 9.28/6.86 tff(25001,plain,
% 9.28/6.86 (~v123(constB186, bitIndex2)),
% 9.28/6.86 inference(unit_resolution,[status(thm)],[25000, 24999, 24977])).
% 9.28/6.86 tff(25002,plain,
% 9.28/6.86 ((~(v84(constB186, bitIndex2) <=> v123(constB186, bitIndex2))) | (~v84(constB186, bitIndex2)) | v123(constB186, bitIndex2)),
% 9.28/6.86 inference(tautology,[status(thm)],[])).
% 9.28/6.86 tff(25003,plain,
% 9.28/6.86 (~v84(constB186, bitIndex2)),
% 9.28/6.86 inference(unit_resolution,[status(thm)],[25002, 25001, 24969])).
% 9.28/6.86 tff(25004,plain,
% 9.28/6.86 ((~(v84(constB187, bitIndex2) <=> v84(constB186, bitIndex2))) | (~v84(constB187, bitIndex2)) | v84(constB186, bitIndex2)),
% 9.28/6.86 inference(tautology,[status(thm)],[])).
% 9.28/6.86 tff(25005,plain,
% 9.28/6.86 (~v84(constB187, bitIndex2)),
% 9.28/6.86 inference(unit_resolution,[status(thm)],[25004, 25003, 1218])).
% 9.28/6.86 tff(25006,plain,
% 9.28/6.86 (((~![B: $i] : ((~less_3(B)) | (v84(constB187, B) <=> v84(constB186, B)))) | ((~less_3(bitIndex0)) | (v84(constB187, bitIndex0) <=> v84(constB186, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB187, B) <=> v84(constB186, B)))) | (~less_3(bitIndex0)) | (v84(constB187, bitIndex0) <=> v84(constB186, bitIndex0)))),
% 9.28/6.86 inference(rewrite,[status(thm)],[])).
% 9.28/6.86 tff(25007,plain,
% 9.28/6.86 ((~![B: $i] : ((~less_3(B)) | (v84(constB187, B) <=> v84(constB186, B)))) | ((~less_3(bitIndex0)) | (v84(constB187, bitIndex0) <=> v84(constB186, bitIndex0)))),
% 9.28/6.86 inference(quant_inst,[status(thm)],[])).
% 9.28/6.86 tff(25008,plain,
% 9.28/6.86 ((~![B: $i] : ((~less_3(B)) | (v84(constB187, B) <=> v84(constB186, B)))) | (~less_3(bitIndex0)) | (v84(constB187, bitIndex0) <=> v84(constB186, bitIndex0))),
% 9.28/6.86 inference(modus_ponens,[status(thm)],[25007, 25006])).
% 9.28/6.86 tff(25009,plain,
% 9.28/6.86 (v84(constB187, bitIndex0) <=> v84(constB186, bitIndex0)),
% 9.28/6.86 inference(unit_resolution,[status(thm)],[25008, 9772, 1214])).
% 9.28/6.86 tff(25010,plain,
% 9.28/6.86 (((~![B: $i] : ((~less_3(B)) | (v84(constB186, B) <=> v123(constB186, B)))) | ((~less_3(bitIndex0)) | (v84(constB186, bitIndex0) <=> v123(constB186, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB186, B) <=> v123(constB186, B)))) | (~less_3(bitIndex0)) | (v84(constB186, bitIndex0) <=> v123(constB186, bitIndex0)))),
% 9.28/6.86 inference(rewrite,[status(thm)],[])).
% 9.28/6.86 tff(25011,plain,
% 9.28/6.86 ((~![B: $i] : ((~less_3(B)) | (v84(constB186, B) <=> v123(constB186, B)))) | ((~less_3(bitIndex0)) | (v84(constB186, bitIndex0) <=> v123(constB186, bitIndex0)))),
% 9.28/6.86 inference(quant_inst,[status(thm)],[])).
% 9.28/6.86 tff(25012,plain,
% 9.28/6.86 ((~![B: $i] : ((~less_3(B)) | (v84(constB186, B) <=> v123(constB186, B)))) | (~less_3(bitIndex0)) | (v84(constB186, bitIndex0) <=> v123(constB186, bitIndex0))),
% 9.28/6.86 inference(modus_ponens,[status(thm)],[25011, 25010])).
% 9.28/6.86 tff(25013,plain,
% 9.28/6.86 (v84(constB186, bitIndex0) <=> v123(constB186, bitIndex0)),
% 9.28/6.86 inference(unit_resolution,[status(thm)],[25012, 9772, 24965])).
% 9.28/6.86 tff(25014,plain,
% 9.28/6.86 (((~![B: $i] : ((~less_3(B)) | (v123(constB186, B) <=> v121(constB185, B)))) | ((~less_3(bitIndex0)) | (v123(constB186, bitIndex0) <=> v121(constB185, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB186, B) <=> v121(constB185, B)))) | (~less_3(bitIndex0)) | (v123(constB186, bitIndex0) <=> v121(constB185, bitIndex0)))),
% 9.28/6.86 inference(rewrite,[status(thm)],[])).
% 9.28/6.86 tff(25015,plain,
% 9.28/6.86 ((~![B: $i] : ((~less_3(B)) | (v123(constB186, B) <=> v121(constB185, B)))) | ((~less_3(bitIndex0)) | (v123(constB186, bitIndex0) <=> v121(constB185, bitIndex0)))),
% 9.28/6.86 inference(quant_inst,[status(thm)],[])).
% 9.28/6.86 tff(25016,plain,
% 9.28/6.86 ((~![B: $i] : ((~less_3(B)) | (v123(constB186, B) <=> v121(constB185, B)))) | (~less_3(bitIndex0)) | (v123(constB186, bitIndex0) <=> v121(constB185, bitIndex0))),
% 9.28/6.86 inference(modus_ponens,[status(thm)],[25015, 25014])).
% 9.28/6.86 tff(25017,plain,
% 9.28/6.86 (v123(constB186, bitIndex0) <=> v121(constB185, bitIndex0)),
% 9.28/6.86 inference(unit_resolution,[status(thm)],[25016, 9772, 24973])).
% 9.28/6.86 tff(25018,plain,
% 9.28/6.86 (((~![B: $i] : ((~less_3(B)) | (v121(constB185, B) <=> v124(constB185, B)))) | ((~less_3(bitIndex0)) | (v121(constB185, bitIndex0) <=> v124(constB185, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB185, B) <=> v124(constB185, B)))) | (~less_3(bitIndex0)) | (v121(constB185, bitIndex0) <=> v124(constB185, bitIndex0)))),
% 9.28/6.86 inference(rewrite,[status(thm)],[])).
% 9.28/6.86 tff(25019,plain,
% 9.28/6.86 ((~![B: $i] : ((~less_3(B)) | (v121(constB185, B) <=> v124(constB185, B)))) | ((~less_3(bitIndex0)) | (v121(constB185, bitIndex0) <=> v124(constB185, bitIndex0)))),
% 9.28/6.86 inference(quant_inst,[status(thm)],[])).
% 9.28/6.86 tff(25020,plain,
% 9.28/6.86 ((~![B: $i] : ((~less_3(B)) | (v121(constB185, B) <=> v124(constB185, B)))) | (~less_3(bitIndex0)) | (v121(constB185, bitIndex0) <=> v124(constB185, bitIndex0))),
% 9.28/6.86 inference(modus_ponens,[status(thm)],[25019, 25018])).
% 9.28/6.86 tff(25021,plain,
% 9.28/6.86 (v121(constB185, bitIndex0) <=> v124(constB185, bitIndex0)),
% 9.28/6.86 inference(unit_resolution,[status(thm)],[25020, 9772, 24981])).
% 9.28/6.86 tff(25022,plain,
% 9.28/6.86 (((~![B: $i] : ((~less_3(B)) | (v124(constB185, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v124(constB185, bitIndex0) <=> b011(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB185, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v124(constB185, bitIndex0) <=> b011(bitIndex0)))),
% 9.28/6.86 inference(rewrite,[status(thm)],[])).
% 9.28/6.86 tff(25023,plain,
% 9.28/6.86 ((~![B: $i] : ((~less_3(B)) | (v124(constB185, B) <=> b011(B)))) | ((~less_3(bitIndex0)) | (v124(constB185, bitIndex0) <=> b011(bitIndex0)))),
% 9.28/6.86 inference(quant_inst,[status(thm)],[])).
% 9.28/6.86 tff(25024,plain,
% 9.28/6.86 ((~![B: $i] : ((~less_3(B)) | (v124(constB185, B) <=> b011(B)))) | (~less_3(bitIndex0)) | (v124(constB185, bitIndex0) <=> b011(bitIndex0))),
% 9.28/6.86 inference(modus_ponens,[status(thm)],[25023, 25022])).
% 9.28/6.86 tff(25025,plain,
% 9.28/6.86 (v124(constB185, bitIndex0) <=> b011(bitIndex0)),
% 9.28/6.86 inference(unit_resolution,[status(thm)],[25024, 9772, 24990])).
% 9.28/6.86 tff(25026,plain,
% 9.28/6.86 ((~(v124(constB185, bitIndex0) <=> b011(bitIndex0))) | v124(constB185, bitIndex0) | (~b011(bitIndex0))),
% 9.28/6.86 inference(tautology,[status(thm)],[])).
% 9.28/6.86 tff(25027,plain,
% 9.28/6.86 ((~(v124(constB185, bitIndex0) <=> b011(bitIndex0))) | v124(constB185, bitIndex0)),
% 9.28/6.86 inference(unit_resolution,[status(thm)],[25026, 10375])).
% 9.28/6.86 tff(25028,plain,
% 9.28/6.86 (v124(constB185, bitIndex0)),
% 9.28/6.86 inference(unit_resolution,[status(thm)],[25027, 25025])).
% 9.28/6.86 tff(25029,plain,
% 9.28/6.86 ((~(v121(constB185, bitIndex0) <=> v124(constB185, bitIndex0))) | v121(constB185, bitIndex0) | (~v124(constB185, bitIndex0))),
% 9.28/6.86 inference(tautology,[status(thm)],[])).
% 9.28/6.86 tff(25030,plain,
% 9.28/6.86 (v121(constB185, bitIndex0)),
% 9.28/6.86 inference(unit_resolution,[status(thm)],[25029, 25028, 25021])).
% 9.28/6.86 tff(25031,plain,
% 9.28/6.86 ((~(v123(constB186, bitIndex0) <=> v121(constB185, bitIndex0))) | v123(constB186, bitIndex0) | (~v121(constB185, bitIndex0))),
% 9.28/6.86 inference(tautology,[status(thm)],[])).
% 9.28/6.86 tff(25032,plain,
% 9.28/6.86 (v123(constB186, bitIndex0)),
% 9.28/6.86 inference(unit_resolution,[status(thm)],[25031, 25030, 25017])).
% 9.28/6.86 tff(25033,plain,
% 9.28/6.86 ((~(v84(constB186, bitIndex0) <=> v123(constB186, bitIndex0))) | v84(constB186, bitIndex0) | (~v123(constB186, bitIndex0))),
% 9.28/6.86 inference(tautology,[status(thm)],[])).
% 9.28/6.86 tff(25034,plain,
% 9.28/6.86 (v84(constB186, bitIndex0)),
% 9.28/6.86 inference(unit_resolution,[status(thm)],[25033, 25032, 25013])).
% 9.28/6.86 tff(25035,plain,
% 9.28/6.86 ((~(v84(constB187, bitIndex0) <=> v84(constB186, bitIndex0))) | v84(constB187, bitIndex0) | (~v84(constB186, bitIndex0))),
% 9.28/6.86 inference(tautology,[status(thm)],[])).
% 9.28/6.86 tff(25036,plain,
% 9.28/6.86 (v84(constB187, bitIndex0)),
% 9.28/6.86 inference(unit_resolution,[status(thm)],[25035, 25034, 25009])).
% 9.28/6.86 tff(25037,plain,
% 9.28/6.86 (((~![B: $i] : ((~less_3(B)) | (v84(constB187, B) <=> v84(constB186, B)))) | ((~less_3(bitIndex1)) | (v84(constB187, bitIndex1) <=> v84(constB186, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB187, B) <=> v84(constB186, B)))) | (~less_3(bitIndex1)) | (v84(constB187, bitIndex1) <=> v84(constB186, bitIndex1)))),
% 9.28/6.86 inference(rewrite,[status(thm)],[])).
% 9.28/6.86 tff(25038,plain,
% 9.28/6.86 ((~![B: $i] : ((~less_3(B)) | (v84(constB187, B) <=> v84(constB186, B)))) | ((~less_3(bitIndex1)) | (v84(constB187, bitIndex1) <=> v84(constB186, bitIndex1)))),
% 9.28/6.86 inference(quant_inst,[status(thm)],[])).
% 9.28/6.86 tff(25039,plain,
% 9.28/6.86 ((~![B: $i] : ((~less_3(B)) | (v84(constB187, B) <=> v84(constB186, B)))) | (~less_3(bitIndex1)) | (v84(constB187, bitIndex1) <=> v84(constB186, bitIndex1))),
% 9.28/6.86 inference(modus_ponens,[status(thm)],[25038, 25037])).
% 9.28/6.86 tff(25040,plain,
% 9.28/6.86 (v84(constB187, bitIndex1) <=> v84(constB186, bitIndex1)),
% 9.28/6.86 inference(unit_resolution,[status(thm)],[25039, 9785, 1214])).
% 9.28/6.86 tff(25041,plain,
% 9.28/6.86 (((~![B: $i] : ((~less_3(B)) | (v84(constB186, B) <=> v123(constB186, B)))) | ((~less_3(bitIndex1)) | (v84(constB186, bitIndex1) <=> v123(constB186, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB186, B) <=> v123(constB186, B)))) | (~less_3(bitIndex1)) | (v84(constB186, bitIndex1) <=> v123(constB186, bitIndex1)))),
% 9.28/6.86 inference(rewrite,[status(thm)],[])).
% 9.28/6.86 tff(25042,plain,
% 9.28/6.86 ((~![B: $i] : ((~less_3(B)) | (v84(constB186, B) <=> v123(constB186, B)))) | ((~less_3(bitIndex1)) | (v84(constB186, bitIndex1) <=> v123(constB186, bitIndex1)))),
% 9.28/6.86 inference(quant_inst,[status(thm)],[])).
% 9.28/6.86 tff(25043,plain,
% 9.28/6.86 ((~![B: $i] : ((~less_3(B)) | (v84(constB186, B) <=> v123(constB186, B)))) | (~less_3(bitIndex1)) | (v84(constB186, bitIndex1) <=> v123(constB186, bitIndex1))),
% 9.28/6.86 inference(modus_ponens,[status(thm)],[25042, 25041])).
% 9.28/6.86 tff(25044,plain,
% 9.28/6.86 (v84(constB186, bitIndex1) <=> v123(constB186, bitIndex1)),
% 9.28/6.86 inference(unit_resolution,[status(thm)],[25043, 9785, 24965])).
% 9.28/6.86 tff(25045,plain,
% 9.28/6.86 (((~![B: $i] : ((~less_3(B)) | (v123(constB186, B) <=> v121(constB185, B)))) | ((~less_3(bitIndex1)) | (v123(constB186, bitIndex1) <=> v121(constB185, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB186, B) <=> v121(constB185, B)))) | (~less_3(bitIndex1)) | (v123(constB186, bitIndex1) <=> v121(constB185, bitIndex1)))),
% 9.28/6.86 inference(rewrite,[status(thm)],[])).
% 9.28/6.86 tff(25046,plain,
% 9.28/6.86 ((~![B: $i] : ((~less_3(B)) | (v123(constB186, B) <=> v121(constB185, B)))) | ((~less_3(bitIndex1)) | (v123(constB186, bitIndex1) <=> v121(constB185, bitIndex1)))),
% 9.28/6.86 inference(quant_inst,[status(thm)],[])).
% 9.28/6.86 tff(25047,plain,
% 9.28/6.86 ((~![B: $i] : ((~less_3(B)) | (v123(constB186, B) <=> v121(constB185, B)))) | (~less_3(bitIndex1)) | (v123(constB186, bitIndex1) <=> v121(constB185, bitIndex1))),
% 9.28/6.86 inference(modus_ponens,[status(thm)],[25046, 25045])).
% 9.28/6.86 tff(25048,plain,
% 9.28/6.86 (v123(constB186, bitIndex1) <=> v121(constB185, bitIndex1)),
% 9.28/6.86 inference(unit_resolution,[status(thm)],[25047, 9785, 24973])).
% 9.28/6.86 tff(25049,plain,
% 9.28/6.86 (((~![B: $i] : ((~less_3(B)) | (v121(constB185, B) <=> v124(constB185, B)))) | ((~less_3(bitIndex1)) | (v121(constB185, bitIndex1) <=> v124(constB185, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB185, B) <=> v124(constB185, B)))) | (~less_3(bitIndex1)) | (v121(constB185, bitIndex1) <=> v124(constB185, bitIndex1)))),
% 9.28/6.86 inference(rewrite,[status(thm)],[])).
% 9.28/6.86 tff(25050,plain,
% 9.28/6.86 ((~![B: $i] : ((~less_3(B)) | (v121(constB185, B) <=> v124(constB185, B)))) | ((~less_3(bitIndex1)) | (v121(constB185, bitIndex1) <=> v124(constB185, bitIndex1)))),
% 9.28/6.86 inference(quant_inst,[status(thm)],[])).
% 9.28/6.86 tff(25051,plain,
% 9.28/6.86 ((~![B: $i] : ((~less_3(B)) | (v121(constB185, B) <=> v124(constB185, B)))) | (~less_3(bitIndex1)) | (v121(constB185, bitIndex1) <=> v124(constB185, bitIndex1))),
% 9.28/6.86 inference(modus_ponens,[status(thm)],[25050, 25049])).
% 9.28/6.86 tff(25052,plain,
% 9.28/6.86 (v121(constB185, bitIndex1) <=> v124(constB185, bitIndex1)),
% 9.28/6.86 inference(unit_resolution,[status(thm)],[25051, 9785, 24981])).
% 9.28/6.86 tff(25053,plain,
% 9.28/6.86 (((~![B: $i] : ((~less_3(B)) | (v124(constB185, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v124(constB185, bitIndex1) <=> b011(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB185, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v124(constB185, bitIndex1) <=> b011(bitIndex1)))),
% 9.28/6.86 inference(rewrite,[status(thm)],[])).
% 9.28/6.86 tff(25054,plain,
% 9.28/6.86 ((~![B: $i] : ((~less_3(B)) | (v124(constB185, B) <=> b011(B)))) | ((~less_3(bitIndex1)) | (v124(constB185, bitIndex1) <=> b011(bitIndex1)))),
% 9.28/6.86 inference(quant_inst,[status(thm)],[])).
% 9.28/6.86 tff(25055,plain,
% 9.28/6.86 ((~![B: $i] : ((~less_3(B)) | (v124(constB185, B) <=> b011(B)))) | (~less_3(bitIndex1)) | (v124(constB185, bitIndex1) <=> b011(bitIndex1))),
% 9.28/6.86 inference(modus_ponens,[status(thm)],[25054, 25053])).
% 9.28/6.86 tff(25056,plain,
% 9.28/6.86 (v124(constB185, bitIndex1) <=> b011(bitIndex1)),
% 9.28/6.86 inference(unit_resolution,[status(thm)],[25055, 9785, 24990])).
% 9.28/6.86 tff(25057,plain,
% 9.28/6.86 ((~(v124(constB185, bitIndex1) <=> b011(bitIndex1))) | v124(constB185, bitIndex1) | (~b011(bitIndex1))),
% 9.28/6.86 inference(tautology,[status(thm)],[])).
% 9.28/6.86 tff(25058,plain,
% 9.28/6.86 ((~(v124(constB185, bitIndex1) <=> b011(bitIndex1))) | v124(constB185, bitIndex1)),
% 9.28/6.86 inference(unit_resolution,[status(thm)],[25057, 10409])).
% 9.28/6.86 tff(25059,plain,
% 9.28/6.86 (v124(constB185, bitIndex1)),
% 9.28/6.86 inference(unit_resolution,[status(thm)],[25058, 25056])).
% 9.28/6.86 tff(25060,plain,
% 9.28/6.86 ((~(v121(constB185, bitIndex1) <=> v124(constB185, bitIndex1))) | v121(constB185, bitIndex1) | (~v124(constB185, bitIndex1))),
% 9.28/6.86 inference(tautology,[status(thm)],[])).
% 9.28/6.86 tff(25061,plain,
% 9.28/6.86 (v121(constB185, bitIndex1)),
% 9.28/6.86 inference(unit_resolution,[status(thm)],[25060, 25059, 25052])).
% 9.28/6.86 tff(25062,plain,
% 9.28/6.86 ((~(v123(constB186, bitIndex1) <=> v121(constB185, bitIndex1))) | v123(constB186, bitIndex1) | (~v121(constB185, bitIndex1))),
% 9.28/6.86 inference(tautology,[status(thm)],[])).
% 9.28/6.86 tff(25063,plain,
% 9.28/6.86 (v123(constB186, bitIndex1)),
% 9.28/6.86 inference(unit_resolution,[status(thm)],[25062, 25061, 25048])).
% 9.28/6.86 tff(25064,plain,
% 9.28/6.86 ((~(v84(constB186, bitIndex1) <=> v123(constB186, bitIndex1))) | v84(constB186, bitIndex1) | (~v123(constB186, bitIndex1))),
% 9.28/6.86 inference(tautology,[status(thm)],[])).
% 9.28/6.86 tff(25065,plain,
% 9.28/6.86 (v84(constB186, bitIndex1)),
% 9.28/6.86 inference(unit_resolution,[status(thm)],[25064, 25063, 25044])).
% 9.28/6.86 tff(25066,plain,
% 9.28/6.86 ((~(v84(constB187, bitIndex1) <=> v84(constB186, bitIndex1))) | v84(constB187, bitIndex1) | (~v84(constB186, bitIndex1))),
% 9.28/6.86 inference(tautology,[status(thm)],[])).
% 9.28/6.86 tff(25067,plain,
% 9.28/6.86 (v84(constB187, bitIndex1)),
% 9.28/6.86 inference(unit_resolution,[status(thm)],[25066, 25065, 25040])).
% 9.28/6.86 tff(25068,plain,
% 9.28/6.86 ((~(v84(constB187, bitIndex2) | (~v84(constB187, bitIndex1)) | (~v84(constB187, bitIndex0)))) | v84(constB187, bitIndex2) | (~v84(constB187, bitIndex1)) | (~v84(constB187, bitIndex0))),
% 9.28/6.86 inference(tautology,[status(thm)],[])).
% 9.28/6.86 tff(25069,plain,
% 9.28/6.86 (~(v84(constB187, bitIndex2) | (~v84(constB187, bitIndex1)) | (~v84(constB187, bitIndex0)))),
% 9.28/6.86 inference(unit_resolution,[status(thm)],[25068, 25067, 25036, 25005])).
% 9.28/6.86 tff(25070,plain,
% 9.28/6.86 ((~(v116(constB187) <=> (~(v84(constB187, bitIndex2) | (~v84(constB187, bitIndex1)) | (~v84(constB187, bitIndex0)))))) | v116(constB187) | (v84(constB187, bitIndex2) | (~v84(constB187, bitIndex1)) | (~v84(constB187, bitIndex0)))),
% 9.28/6.86 inference(tautology,[status(thm)],[])).
% 9.28/6.86 tff(25071,plain,
% 9.28/6.86 (v116(constB187)),
% 9.28/6.86 inference(unit_resolution,[status(thm)],[25070, 25069, 1186])).
% 9.28/6.86 tff(25072,plain,
% 9.28/6.86 ((v111(constB187) | v116(constB187)) | (~v116(constB187))),
% 9.28/6.86 inference(tautology,[status(thm)],[])).
% 9.28/6.86 tff(25073,plain,
% 9.28/6.86 (v111(constB187) | v116(constB187)),
% 9.28/6.86 inference(unit_resolution,[status(thm)],[25072, 25071])).
% 9.28/6.86 tff(25074,plain,
% 9.28/6.86 ((~(v110(constB187) <=> (v111(constB187) | v116(constB187)))) | v110(constB187) | (~(v111(constB187) | v116(constB187)))),
% 9.28/6.86 inference(tautology,[status(thm)],[])).
% 9.28/6.86 tff(25075,plain,
% 9.28/6.86 (v110(constB187)),
% 9.28/6.86 inference(unit_resolution,[status(thm)],[25074, 25073, 1171])).
% 9.28/6.86 tff(25076,plain,
% 9.28/6.86 ((v110(constB187) | v117(constB187)) | (~v110(constB187))),
% 9.28/6.86 inference(tautology,[status(thm)],[])).
% 9.28/6.86 tff(25077,plain,
% 9.28/6.86 (v110(constB187) | v117(constB187)),
% 9.28/6.86 inference(unit_resolution,[status(thm)],[25076, 25075])).
% 9.28/6.86 tff(25078,plain,
% 9.28/6.86 ((~(v109(constB187) <=> (v110(constB187) | v117(constB187)))) | v109(constB187) | (~(v110(constB187) | v117(constB187)))),
% 9.28/6.86 inference(tautology,[status(thm)],[])).
% 9.28/6.86 tff(25079,plain,
% 9.28/6.86 (v109(constB187)),
% 9.28/6.86 inference(unit_resolution,[status(thm)],[25078, 25077, 1162])).
% 9.28/6.86 tff(25080,plain,
% 9.28/6.86 ((v109(constB187) | v118(constB187)) | (~v109(constB187))),
% 9.28/6.86 inference(tautology,[status(thm)],[])).
% 9.28/6.86 tff(25081,plain,
% 9.28/6.86 (v109(constB187) | v118(constB187)),
% 9.28/6.86 inference(unit_resolution,[status(thm)],[25080, 25079])).
% 9.28/6.86 tff(25082,plain,
% 9.28/6.86 ((~(v108(constB187) <=> (v109(constB187) | v118(constB187)))) | v108(constB187) | (~(v109(constB187) | v118(constB187)))),
% 9.28/6.86 inference(tautology,[status(thm)],[])).
% 9.28/6.86 tff(25083,plain,
% 9.28/6.86 (v108(constB187)),
% 9.28/6.86 inference(unit_resolution,[status(thm)],[25082, 25081, 1160])).
% 9.28/6.86 tff(25084,plain,
% 9.28/6.86 ((v108(constB187) | v119(constB187)) | (~v108(constB187))),
% 9.28/6.86 inference(tautology,[status(thm)],[])).
% 9.28/6.86 tff(25085,plain,
% 9.28/6.86 (v108(constB187) | v119(constB187)),
% 9.28/6.86 inference(unit_resolution,[status(thm)],[25084, 25083])).
% 9.28/6.86 tff(25086,plain,
% 9.28/6.86 ((~(v107(constB187) <=> (v108(constB187) | v119(constB187)))) | v107(constB187) | (~(v108(constB187) | v119(constB187)))),
% 9.28/6.86 inference(tautology,[status(thm)],[])).
% 9.28/6.86 tff(25087,plain,
% 9.28/6.86 (v107(constB187)),
% 9.28/6.86 inference(unit_resolution,[status(thm)],[25086, 25085, 1158])).
% 9.28/6.86 tff(25088,plain,
% 9.28/6.86 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB187)) <=> v105(constB187))),
% 9.28/6.86 inference(quant_inst,[status(thm)],[])).
% 9.28/6.86 tff(25089,plain,
% 9.28/6.86 ((~v120(constB187)) <=> v105(constB187)),
% 9.28/6.86 inference(unit_resolution,[status(thm)],[25088, 9842])).
% 9.28/6.86 tff(25090,plain,
% 9.28/6.86 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB187) <=> v26(constB187))),
% 9.28/6.86 inference(quant_inst,[status(thm)],[])).
% 9.28/6.86 tff(25091,plain,
% 9.28/6.86 (v105(constB187) <=> v26(constB187)),
% 9.28/6.86 inference(unit_resolution,[status(thm)],[25090, 9854])).
% 9.28/6.86 tff(25092,plain,
% 9.28/6.86 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB187))),
% 9.28/6.86 inference(quant_inst,[status(thm)],[])).
% 9.28/6.86 tff(25093,plain,
% 9.28/6.86 (~v26(constB187)),
% 9.28/6.86 inference(unit_resolution,[status(thm)],[25092, 9866])).
% 9.28/6.86 tff(25094,plain,
% 9.28/6.86 ((~(v105(constB187) <=> v26(constB187))) | (~v105(constB187)) | v26(constB187)),
% 9.28/6.86 inference(tautology,[status(thm)],[])).
% 9.28/6.86 tff(25095,plain,
% 9.28/6.86 ((~(v105(constB187) <=> v26(constB187))) | (~v105(constB187))),
% 9.28/6.86 inference(unit_resolution,[status(thm)],[25094, 25093])).
% 9.28/6.86 tff(25096,plain,
% 9.28/6.86 (~v105(constB187)),
% 9.28/6.86 inference(unit_resolution,[status(thm)],[25095, 25091])).
% 9.28/6.86 tff(25097,plain,
% 9.28/6.86 ((~((~v120(constB187)) <=> v105(constB187))) | v120(constB187) | v105(constB187)),
% 9.28/6.86 inference(tautology,[status(thm)],[])).
% 9.28/6.86 tff(25098,plain,
% 9.28/6.86 ((~((~v120(constB187)) <=> v105(constB187))) | v120(constB187)),
% 9.28/6.86 inference(unit_resolution,[status(thm)],[25097, 25096])).
% 9.28/6.86 tff(25099,plain,
% 9.28/6.86 (v120(constB187)),
% 9.28/6.86 inference(unit_resolution,[status(thm)],[25098, 25089])).
% 9.28/6.86 tff(25100,plain,
% 9.28/6.86 ((~((~v107(constB187)) | (~v120(constB187)))) | (~v107(constB187)) | (~v120(constB187))),
% 9.28/6.86 inference(tautology,[status(thm)],[])).
% 9.28/6.86 tff(25101,plain,
% 9.28/6.86 ((~((~v107(constB187)) | (~v120(constB187)))) | (~v107(constB187))),
% 9.28/6.86 inference(unit_resolution,[status(thm)],[25100, 25099])).
% 9.28/6.86 tff(25102,plain,
% 9.28/6.86 (~((~v107(constB187)) | (~v120(constB187)))),
% 9.28/6.86 inference(unit_resolution,[status(thm)],[25101, 25087])).
% 9.28/6.86 tff(25103,plain,
% 9.28/6.86 ((~(v106(constB187) <=> (~((~v107(constB187)) | (~v120(constB187)))))) | v106(constB187) | ((~v107(constB187)) | (~v120(constB187)))),
% 9.28/6.86 inference(tautology,[status(thm)],[])).
% 9.28/6.86 tff(25104,plain,
% 9.28/6.86 (v106(constB187)),
% 9.28/6.86 inference(unit_resolution,[status(thm)],[25103, 25102, 1156])).
% 9.28/6.86 tff(25105,plain,
% 9.28/6.86 ((v105(constB187) | v106(constB187)) | (~v106(constB187))),
% 9.28/6.87 inference(tautology,[status(thm)],[])).
% 9.28/6.87 tff(25106,plain,
% 9.28/6.87 (v105(constB187) | v106(constB187)),
% 9.28/6.87 inference(unit_resolution,[status(thm)],[25105, 25104])).
% 9.28/6.87 tff(25107,plain,
% 9.28/6.87 ((~(v102(constB187) <=> (v105(constB187) | v106(constB187)))) | v102(constB187) | (~(v105(constB187) | v106(constB187)))),
% 9.28/6.87 inference(tautology,[status(thm)],[])).
% 9.28/6.87 tff(25108,plain,
% 9.28/6.87 (v102(constB187)),
% 9.28/6.87 inference(unit_resolution,[status(thm)],[25107, 25106, 1154])).
% 9.28/6.87 tff(25109,plain,
% 9.28/6.87 ((~(v104(constB188) <=> v102(constB187))) | v104(constB188) | (~v102(constB187))),
% 9.28/6.87 inference(tautology,[status(thm)],[])).
% 9.28/6.87 tff(25110,plain,
% 9.28/6.87 (v104(constB188)),
% 9.28/6.87 inference(unit_resolution,[status(thm)],[25109, 25108, 1152])).
% 9.28/6.87 tff(25111,plain,
% 9.28/6.87 ((~((~v104(constB188)) | (~v95(constB188)))) | (~v104(constB188)) | (~v95(constB188))),
% 9.28/6.87 inference(tautology,[status(thm)],[])).
% 9.28/6.87 tff(25112,plain,
% 9.28/6.87 (~((~v104(constB188)) | (~v95(constB188)))),
% 9.28/6.87 inference(unit_resolution,[status(thm)],[25111, 25110, 1148])).
% 9.28/6.87 tff(25113,plain,
% 9.28/6.87 ((~(v94(constB188) <=> (~((~v104(constB188)) | (~v95(constB188)))))) | v94(constB188) | ((~v104(constB188)) | (~v95(constB188)))),
% 9.28/6.87 inference(tautology,[status(thm)],[])).
% 9.28/6.87 tff(25114,plain,
% 9.28/6.87 (v94(constB188)),
% 9.28/6.87 inference(unit_resolution,[status(thm)],[25113, 25112, 1117])).
% 9.28/6.87 tff(25115,plain,
% 9.28/6.87 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB188)) | ![B: $i] : ((~less_3(B)) | (v84(constB188, B) <=> v123(constB188, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB188)) | ![B: $i] : ((~less_3(B)) | (v84(constB188, B) <=> v123(constB188, B))))),
% 9.28/6.87 inference(rewrite,[status(thm)],[])).
% 9.28/6.87 tff(25116,plain,
% 9.28/6.87 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB188)) | ![B: $i] : ((~less_3(B)) | (v84(constB188, B) <=> v123(constB188, B))))),
% 9.28/6.87 inference(quant_inst,[status(thm)],[])).
% 9.28/6.87 tff(25117,plain,
% 9.28/6.87 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB188)) | ![B: $i] : ((~less_3(B)) | (v84(constB188, B) <=> v123(constB188, B)))),
% 9.28/6.87 inference(modus_ponens,[status(thm)],[25116, 25115])).
% 9.28/6.87 tff(25118,plain,
% 9.28/6.87 ((~v94(constB188)) | ![B: $i] : ((~less_3(B)) | (v84(constB188, B) <=> v123(constB188, B)))),
% 9.28/6.87 inference(unit_resolution,[status(thm)],[25117, 9902])).
% 9.28/6.87 tff(25119,plain,
% 9.28/6.87 (![B: $i] : ((~less_3(B)) | (v84(constB188, B) <=> v123(constB188, B)))),
% 9.28/6.87 inference(unit_resolution,[status(thm)],[25118, 25114])).
% 9.28/6.87 tff(25120,plain,
% 9.28/6.87 (((~![B: $i] : ((~less_3(B)) | (v84(constB188, B) <=> v123(constB188, B)))) | ((~less_3(bitIndex2)) | (v84(constB188, bitIndex2) <=> v123(constB188, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB188, B) <=> v123(constB188, B)))) | (~less_3(bitIndex2)) | (v84(constB188, bitIndex2) <=> v123(constB188, bitIndex2)))),
% 9.28/6.87 inference(rewrite,[status(thm)],[])).
% 9.28/6.87 tff(25121,plain,
% 9.28/6.87 ((~![B: $i] : ((~less_3(B)) | (v84(constB188, B) <=> v123(constB188, B)))) | ((~less_3(bitIndex2)) | (v84(constB188, bitIndex2) <=> v123(constB188, bitIndex2)))),
% 9.28/6.87 inference(quant_inst,[status(thm)],[])).
% 9.28/6.87 tff(25122,plain,
% 9.28/6.87 ((~![B: $i] : ((~less_3(B)) | (v84(constB188, B) <=> v123(constB188, B)))) | (~less_3(bitIndex2)) | (v84(constB188, bitIndex2) <=> v123(constB188, bitIndex2))),
% 9.28/6.87 inference(modus_ponens,[status(thm)],[25121, 25120])).
% 9.28/6.87 tff(25123,plain,
% 9.28/6.87 (v84(constB188, bitIndex2) <=> v123(constB188, bitIndex2)),
% 9.28/6.87 inference(unit_resolution,[status(thm)],[25122, 832, 25119])).
% 9.28/6.87 tff(25124,plain,
% 9.28/6.87 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB187, constB188)) | ![B: $i] : ((~less_3(B)) | (v123(constB188, B) <=> v121(constB187, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB187, constB188)) | ![B: $i] : ((~less_3(B)) | (v123(constB188, B) <=> v121(constB187, B))))),
% 9.28/6.87 inference(rewrite,[status(thm)],[])).
% 9.28/6.87 tff(25125,plain,
% 9.28/6.87 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB187, constB188)) | ![B: $i] : ((~less_3(B)) | (v123(constB188, B) <=> v121(constB187, B))))),
% 9.28/6.87 inference(quant_inst,[status(thm)],[])).
% 9.28/6.87 tff(25126,plain,
% 9.28/6.87 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB187, constB188)) | ![B: $i] : ((~less_3(B)) | (v123(constB188, B) <=> v121(constB187, B)))),
% 9.28/6.87 inference(modus_ponens,[status(thm)],[25125, 25124])).
% 9.28/6.87 tff(25127,plain,
% 9.28/6.87 (![B: $i] : ((~less_3(B)) | (v123(constB188, B) <=> v121(constB187, B)))),
% 9.28/6.87 inference(unit_resolution,[status(thm)],[25126, 1113, 9924])).
% 9.28/6.87 tff(25128,plain,
% 9.28/6.87 (((~![B: $i] : ((~less_3(B)) | (v123(constB188, B) <=> v121(constB187, B)))) | ((~less_3(bitIndex2)) | (v123(constB188, bitIndex2) <=> v121(constB187, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB188, B) <=> v121(constB187, B)))) | (~less_3(bitIndex2)) | (v123(constB188, bitIndex2) <=> v121(constB187, bitIndex2)))),
% 9.28/6.87 inference(rewrite,[status(thm)],[])).
% 9.28/6.87 tff(25129,plain,
% 9.28/6.87 ((~![B: $i] : ((~less_3(B)) | (v123(constB188, B) <=> v121(constB187, B)))) | ((~less_3(bitIndex2)) | (v123(constB188, bitIndex2) <=> v121(constB187, bitIndex2)))),
% 9.28/6.87 inference(quant_inst,[status(thm)],[])).
% 9.28/6.87 tff(25130,plain,
% 9.28/6.87 ((~![B: $i] : ((~less_3(B)) | (v123(constB188, B) <=> v121(constB187, B)))) | (~less_3(bitIndex2)) | (v123(constB188, bitIndex2) <=> v121(constB187, bitIndex2))),
% 9.28/6.87 inference(modus_ponens,[status(thm)],[25129, 25128])).
% 9.28/6.87 tff(25131,plain,
% 9.28/6.87 (v123(constB188, bitIndex2) <=> v121(constB187, bitIndex2)),
% 9.28/6.87 inference(unit_resolution,[status(thm)],[25130, 832, 25127])).
% 9.28/6.87 tff(25132,plain,
% 9.28/6.87 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB187) | ![B: $i] : ((~less_3(B)) | (v121(constB187, B) <=> v124(constB187, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB187) | ![B: $i] : ((~less_3(B)) | (v121(constB187, B) <=> v124(constB187, B))))),
% 9.28/6.87 inference(rewrite,[status(thm)],[])).
% 9.28/6.87 tff(25133,plain,
% 9.28/6.87 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB187) | ![B: $i] : ((~less_3(B)) | (v121(constB187, B) <=> v124(constB187, B))))),
% 9.28/6.87 inference(quant_inst,[status(thm)],[])).
% 9.28/6.87 tff(25134,plain,
% 9.28/6.87 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB187) | ![B: $i] : ((~less_3(B)) | (v121(constB187, B) <=> v124(constB187, B)))),
% 9.28/6.87 inference(modus_ponens,[status(thm)],[25133, 25132])).
% 9.28/6.87 tff(25135,plain,
% 9.28/6.87 (![B: $i] : ((~less_3(B)) | (v121(constB187, B) <=> v124(constB187, B)))),
% 9.28/6.87 inference(unit_resolution,[status(thm)],[25134, 9945, 25096])).
% 9.28/6.87 tff(25136,plain,
% 9.28/6.87 (((~![B: $i] : ((~less_3(B)) | (v121(constB187, B) <=> v124(constB187, B)))) | ((~less_3(bitIndex2)) | (v121(constB187, bitIndex2) <=> v124(constB187, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB187, B) <=> v124(constB187, B)))) | (~less_3(bitIndex2)) | (v121(constB187, bitIndex2) <=> v124(constB187, bitIndex2)))),
% 9.28/6.87 inference(rewrite,[status(thm)],[])).
% 9.28/6.87 tff(25137,plain,
% 9.28/6.87 ((~![B: $i] : ((~less_3(B)) | (v121(constB187, B) <=> v124(constB187, B)))) | ((~less_3(bitIndex2)) | (v121(constB187, bitIndex2) <=> v124(constB187, bitIndex2)))),
% 9.28/6.87 inference(quant_inst,[status(thm)],[])).
% 9.28/6.87 tff(25138,plain,
% 9.28/6.87 ((~![B: $i] : ((~less_3(B)) | (v121(constB187, B) <=> v124(constB187, B)))) | (~less_3(bitIndex2)) | (v121(constB187, bitIndex2) <=> v124(constB187, bitIndex2))),
% 9.28/6.87 inference(modus_ponens,[status(thm)],[25137, 25136])).
% 9.28/6.87 tff(25139,plain,
% 9.28/6.87 (v121(constB187, bitIndex2) <=> v124(constB187, bitIndex2)),
% 9.28/6.87 inference(unit_resolution,[status(thm)],[25138, 832, 25135])).
% 9.28/6.87 tff(25140,plain,
% 9.28/6.87 (((~![VarCurr: $i] : ((~v116(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b100(B))))) | ((~v116(constB187)) | ![B: $i] : ((~less_3(B)) | (v124(constB187, B) <=> b100(B))))) <=> ((~![VarCurr: $i] : ((~v116(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b100(B))))) | (~v116(constB187)) | ![B: $i] : ((~less_3(B)) | (v124(constB187, B) <=> b100(B))))),
% 9.28/6.87 inference(rewrite,[status(thm)],[])).
% 9.28/6.87 tff(25141,plain,
% 9.28/6.87 ((~![VarCurr: $i] : ((~v116(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b100(B))))) | ((~v116(constB187)) | ![B: $i] : ((~less_3(B)) | (v124(constB187, B) <=> b100(B))))),
% 9.28/6.87 inference(quant_inst,[status(thm)],[])).
% 9.28/6.87 tff(25142,plain,
% 9.28/6.87 ((~![VarCurr: $i] : ((~v116(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b100(B))))) | (~v116(constB187)) | ![B: $i] : ((~less_3(B)) | (v124(constB187, B) <=> b100(B)))),
% 9.28/6.87 inference(modus_ponens,[status(thm)],[25141, 25140])).
% 9.28/6.87 tff(25143,plain,
% 9.28/6.87 ((~v116(constB187)) | ![B: $i] : ((~less_3(B)) | (v124(constB187, B) <=> b100(B)))),
% 9.28/6.87 inference(unit_resolution,[status(thm)],[25142, 10505])).
% 9.28/6.87 tff(25144,plain,
% 9.28/6.87 (![B: $i] : ((~less_3(B)) | (v124(constB187, B) <=> b100(B)))),
% 9.28/6.87 inference(unit_resolution,[status(thm)],[25143, 25071])).
% 9.28/6.87 tff(25145,plain,
% 9.28/6.87 (((~![B: $i] : ((~less_3(B)) | (v124(constB187, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v124(constB187, bitIndex2) <=> b100(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB187, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v124(constB187, bitIndex2) <=> b100(bitIndex2)))),
% 9.28/6.87 inference(rewrite,[status(thm)],[])).
% 9.28/6.87 tff(25146,plain,
% 9.28/6.87 ((~![B: $i] : ((~less_3(B)) | (v124(constB187, B) <=> b100(B)))) | ((~less_3(bitIndex2)) | (v124(constB187, bitIndex2) <=> b100(bitIndex2)))),
% 9.28/6.87 inference(quant_inst,[status(thm)],[])).
% 9.28/6.87 tff(25147,plain,
% 9.28/6.87 ((~![B: $i] : ((~less_3(B)) | (v124(constB187, B) <=> b100(B)))) | (~less_3(bitIndex2)) | (v124(constB187, bitIndex2) <=> b100(bitIndex2))),
% 9.28/6.87 inference(modus_ponens,[status(thm)],[25146, 25145])).
% 9.28/6.87 tff(25148,plain,
% 9.28/6.87 (v124(constB187, bitIndex2) <=> b100(bitIndex2)),
% 9.28/6.87 inference(unit_resolution,[status(thm)],[25147, 832, 25144])).
% 9.28/6.87 tff(25149,plain,
% 9.28/6.87 ((~(v124(constB187, bitIndex2) <=> b100(bitIndex2))) | v124(constB187, bitIndex2) | (~b100(bitIndex2))),
% 9.28/6.87 inference(tautology,[status(thm)],[])).
% 9.28/6.87 tff(25150,plain,
% 9.28/6.87 ((~(v124(constB187, bitIndex2) <=> b100(bitIndex2))) | v124(constB187, bitIndex2)),
% 9.28/6.87 inference(unit_resolution,[status(thm)],[25149, 10517])).
% 9.28/6.87 tff(25151,plain,
% 9.28/6.87 (v124(constB187, bitIndex2)),
% 9.28/6.87 inference(unit_resolution,[status(thm)],[25150, 25148])).
% 9.28/6.87 tff(25152,plain,
% 9.28/6.87 ((~(v121(constB187, bitIndex2) <=> v124(constB187, bitIndex2))) | v121(constB187, bitIndex2) | (~v124(constB187, bitIndex2))),
% 9.28/6.87 inference(tautology,[status(thm)],[])).
% 9.28/6.87 tff(25153,plain,
% 9.28/6.87 (v121(constB187, bitIndex2)),
% 9.28/6.87 inference(unit_resolution,[status(thm)],[25152, 25151, 25139])).
% 9.28/6.87 tff(25154,plain,
% 9.28/6.87 ((~(v123(constB188, bitIndex2) <=> v121(constB187, bitIndex2))) | v123(constB188, bitIndex2) | (~v121(constB187, bitIndex2))),
% 9.28/6.87 inference(tautology,[status(thm)],[])).
% 9.28/6.87 tff(25155,plain,
% 9.28/6.87 (v123(constB188, bitIndex2)),
% 9.28/6.87 inference(unit_resolution,[status(thm)],[25154, 25153, 25131])).
% 9.28/6.87 tff(25156,plain,
% 9.28/6.87 ((~(v84(constB188, bitIndex2) <=> v123(constB188, bitIndex2))) | v84(constB188, bitIndex2) | (~v123(constB188, bitIndex2))),
% 9.28/6.87 inference(tautology,[status(thm)],[])).
% 9.28/6.87 tff(25157,plain,
% 9.28/6.87 (v84(constB188, bitIndex2)),
% 9.28/6.87 inference(unit_resolution,[status(thm)],[25156, 25155, 25123])).
% 9.28/6.87 tff(25158,plain,
% 9.28/6.87 ((~(v84(constB189, bitIndex2) <=> v84(constB188, bitIndex2))) | v84(constB189, bitIndex2) | (~v84(constB188, bitIndex2))),
% 9.28/6.87 inference(tautology,[status(thm)],[])).
% 9.28/6.87 tff(25159,plain,
% 9.28/6.87 (v84(constB189, bitIndex2)),
% 9.28/6.87 inference(unit_resolution,[status(thm)],[25158, 25157, 1110])).
% 9.28/6.87 tff(25160,plain,
% 9.28/6.87 (((~![B: $i] : ((~less_3(B)) | (v84(constB189, B) <=> v84(constB188, B)))) | ((~less_3(bitIndex0)) | (v84(constB189, bitIndex0) <=> v84(constB188, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB189, B) <=> v84(constB188, B)))) | (~less_3(bitIndex0)) | (v84(constB189, bitIndex0) <=> v84(constB188, bitIndex0)))),
% 9.28/6.87 inference(rewrite,[status(thm)],[])).
% 9.28/6.87 tff(25161,plain,
% 9.28/6.87 ((~![B: $i] : ((~less_3(B)) | (v84(constB189, B) <=> v84(constB188, B)))) | ((~less_3(bitIndex0)) | (v84(constB189, bitIndex0) <=> v84(constB188, bitIndex0)))),
% 9.28/6.87 inference(quant_inst,[status(thm)],[])).
% 9.28/6.87 tff(25162,plain,
% 9.28/6.87 ((~![B: $i] : ((~less_3(B)) | (v84(constB189, B) <=> v84(constB188, B)))) | (~less_3(bitIndex0)) | (v84(constB189, bitIndex0) <=> v84(constB188, bitIndex0))),
% 9.28/6.87 inference(modus_ponens,[status(thm)],[25161, 25160])).
% 9.28/6.87 tff(25163,plain,
% 9.28/6.87 (v84(constB189, bitIndex0) <=> v84(constB188, bitIndex0)),
% 9.28/6.87 inference(unit_resolution,[status(thm)],[25162, 9772, 1106])).
% 9.28/6.87 tff(25164,plain,
% 9.28/6.87 (((~![B: $i] : ((~less_3(B)) | (v84(constB188, B) <=> v123(constB188, B)))) | ((~less_3(bitIndex0)) | (v84(constB188, bitIndex0) <=> v123(constB188, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB188, B) <=> v123(constB188, B)))) | (~less_3(bitIndex0)) | (v84(constB188, bitIndex0) <=> v123(constB188, bitIndex0)))),
% 9.28/6.87 inference(rewrite,[status(thm)],[])).
% 9.28/6.87 tff(25165,plain,
% 9.28/6.87 ((~![B: $i] : ((~less_3(B)) | (v84(constB188, B) <=> v123(constB188, B)))) | ((~less_3(bitIndex0)) | (v84(constB188, bitIndex0) <=> v123(constB188, bitIndex0)))),
% 9.28/6.87 inference(quant_inst,[status(thm)],[])).
% 9.28/6.87 tff(25166,plain,
% 9.28/6.87 ((~![B: $i] : ((~less_3(B)) | (v84(constB188, B) <=> v123(constB188, B)))) | (~less_3(bitIndex0)) | (v84(constB188, bitIndex0) <=> v123(constB188, bitIndex0))),
% 9.28/6.87 inference(modus_ponens,[status(thm)],[25165, 25164])).
% 9.28/6.87 tff(25167,plain,
% 9.28/6.87 (v84(constB188, bitIndex0) <=> v123(constB188, bitIndex0)),
% 9.28/6.87 inference(unit_resolution,[status(thm)],[25166, 9772, 25119])).
% 9.28/6.87 tff(25168,plain,
% 9.28/6.87 (((~![B: $i] : ((~less_3(B)) | (v123(constB188, B) <=> v121(constB187, B)))) | ((~less_3(bitIndex0)) | (v123(constB188, bitIndex0) <=> v121(constB187, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB188, B) <=> v121(constB187, B)))) | (~less_3(bitIndex0)) | (v123(constB188, bitIndex0) <=> v121(constB187, bitIndex0)))),
% 9.28/6.87 inference(rewrite,[status(thm)],[])).
% 9.28/6.87 tff(25169,plain,
% 9.28/6.87 ((~![B: $i] : ((~less_3(B)) | (v123(constB188, B) <=> v121(constB187, B)))) | ((~less_3(bitIndex0)) | (v123(constB188, bitIndex0) <=> v121(constB187, bitIndex0)))),
% 9.28/6.87 inference(quant_inst,[status(thm)],[])).
% 9.28/6.87 tff(25170,plain,
% 9.28/6.87 ((~![B: $i] : ((~less_3(B)) | (v123(constB188, B) <=> v121(constB187, B)))) | (~less_3(bitIndex0)) | (v123(constB188, bitIndex0) <=> v121(constB187, bitIndex0))),
% 9.28/6.87 inference(modus_ponens,[status(thm)],[25169, 25168])).
% 9.28/6.87 tff(25171,plain,
% 9.28/6.87 (v123(constB188, bitIndex0) <=> v121(constB187, bitIndex0)),
% 9.28/6.87 inference(unit_resolution,[status(thm)],[25170, 9772, 25127])).
% 9.28/6.87 tff(25172,plain,
% 9.28/6.87 (((~![B: $i] : ((~less_3(B)) | (v121(constB187, B) <=> v124(constB187, B)))) | ((~less_3(bitIndex0)) | (v121(constB187, bitIndex0) <=> v124(constB187, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB187, B) <=> v124(constB187, B)))) | (~less_3(bitIndex0)) | (v121(constB187, bitIndex0) <=> v124(constB187, bitIndex0)))),
% 9.28/6.87 inference(rewrite,[status(thm)],[])).
% 9.28/6.87 tff(25173,plain,
% 9.28/6.87 ((~![B: $i] : ((~less_3(B)) | (v121(constB187, B) <=> v124(constB187, B)))) | ((~less_3(bitIndex0)) | (v121(constB187, bitIndex0) <=> v124(constB187, bitIndex0)))),
% 9.28/6.87 inference(quant_inst,[status(thm)],[])).
% 9.28/6.87 tff(25174,plain,
% 9.28/6.87 ((~![B: $i] : ((~less_3(B)) | (v121(constB187, B) <=> v124(constB187, B)))) | (~less_3(bitIndex0)) | (v121(constB187, bitIndex0) <=> v124(constB187, bitIndex0))),
% 9.28/6.87 inference(modus_ponens,[status(thm)],[25173, 25172])).
% 9.28/6.87 tff(25175,plain,
% 9.28/6.87 (v121(constB187, bitIndex0) <=> v124(constB187, bitIndex0)),
% 9.28/6.87 inference(unit_resolution,[status(thm)],[25174, 9772, 25135])).
% 9.28/6.87 tff(25176,plain,
% 9.28/6.87 (((~![B: $i] : ((~less_3(B)) | (v124(constB187, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v124(constB187, bitIndex0) <=> b100(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB187, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v124(constB187, bitIndex0) <=> b100(bitIndex0)))),
% 9.28/6.87 inference(rewrite,[status(thm)],[])).
% 9.28/6.87 tff(25177,plain,
% 9.28/6.87 ((~![B: $i] : ((~less_3(B)) | (v124(constB187, B) <=> b100(B)))) | ((~less_3(bitIndex0)) | (v124(constB187, bitIndex0) <=> b100(bitIndex0)))),
% 9.28/6.87 inference(quant_inst,[status(thm)],[])).
% 9.28/6.87 tff(25178,plain,
% 9.28/6.87 ((~![B: $i] : ((~less_3(B)) | (v124(constB187, B) <=> b100(B)))) | (~less_3(bitIndex0)) | (v124(constB187, bitIndex0) <=> b100(bitIndex0))),
% 9.28/6.87 inference(modus_ponens,[status(thm)],[25177, 25176])).
% 9.28/6.87 tff(25179,plain,
% 9.28/6.87 (v124(constB187, bitIndex0) <=> b100(bitIndex0)),
% 9.28/6.87 inference(unit_resolution,[status(thm)],[25178, 9772, 25144])).
% 9.28/6.87 tff(25180,plain,
% 9.28/6.87 ((~(v124(constB187, bitIndex0) <=> b100(bitIndex0))) | (~v124(constB187, bitIndex0)) | b100(bitIndex0)),
% 9.28/6.87 inference(tautology,[status(thm)],[])).
% 9.28/6.87 tff(25181,plain,
% 9.28/6.87 ((~(v124(constB187, bitIndex0) <=> b100(bitIndex0))) | (~v124(constB187, bitIndex0))),
% 9.28/6.87 inference(unit_resolution,[status(thm)],[25180, 10551])).
% 9.28/6.87 tff(25182,plain,
% 9.28/6.87 (~v124(constB187, bitIndex0)),
% 9.28/6.87 inference(unit_resolution,[status(thm)],[25181, 25179])).
% 9.28/6.87 tff(25183,plain,
% 9.28/6.87 ((~(v121(constB187, bitIndex0) <=> v124(constB187, bitIndex0))) | (~v121(constB187, bitIndex0)) | v124(constB187, bitIndex0)),
% 9.28/6.87 inference(tautology,[status(thm)],[])).
% 9.28/6.87 tff(25184,plain,
% 9.28/6.87 (~v121(constB187, bitIndex0)),
% 9.28/6.87 inference(unit_resolution,[status(thm)],[25183, 25182, 25175])).
% 9.28/6.87 tff(25185,plain,
% 9.28/6.87 ((~(v123(constB188, bitIndex0) <=> v121(constB187, bitIndex0))) | (~v123(constB188, bitIndex0)) | v121(constB187, bitIndex0)),
% 9.28/6.87 inference(tautology,[status(thm)],[])).
% 9.28/6.87 tff(25186,plain,
% 9.28/6.87 (~v123(constB188, bitIndex0)),
% 9.28/6.87 inference(unit_resolution,[status(thm)],[25185, 25184, 25171])).
% 9.28/6.87 tff(25187,plain,
% 9.28/6.87 ((~(v84(constB188, bitIndex0) <=> v123(constB188, bitIndex0))) | (~v84(constB188, bitIndex0)) | v123(constB188, bitIndex0)),
% 9.28/6.87 inference(tautology,[status(thm)],[])).
% 9.28/6.87 tff(25188,plain,
% 9.28/6.87 (~v84(constB188, bitIndex0)),
% 9.28/6.87 inference(unit_resolution,[status(thm)],[25187, 25186, 25167])).
% 9.28/6.87 tff(25189,plain,
% 9.28/6.87 ((~(v84(constB189, bitIndex0) <=> v84(constB188, bitIndex0))) | (~v84(constB189, bitIndex0)) | v84(constB188, bitIndex0)),
% 9.28/6.87 inference(tautology,[status(thm)],[])).
% 9.28/6.87 tff(25190,plain,
% 9.28/6.87 (~v84(constB189, bitIndex0)),
% 9.28/6.87 inference(unit_resolution,[status(thm)],[25189, 25188, 25163])).
% 9.28/6.87 tff(25191,plain,
% 9.28/6.87 (((~![B: $i] : ((~less_3(B)) | (v84(constB189, B) <=> v84(constB188, B)))) | ((~less_3(bitIndex1)) | (v84(constB189, bitIndex1) <=> v84(constB188, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB189, B) <=> v84(constB188, B)))) | (~less_3(bitIndex1)) | (v84(constB189, bitIndex1) <=> v84(constB188, bitIndex1)))),
% 9.28/6.87 inference(rewrite,[status(thm)],[])).
% 9.28/6.87 tff(25192,plain,
% 9.28/6.87 ((~![B: $i] : ((~less_3(B)) | (v84(constB189, B) <=> v84(constB188, B)))) | ((~less_3(bitIndex1)) | (v84(constB189, bitIndex1) <=> v84(constB188, bitIndex1)))),
% 9.28/6.87 inference(quant_inst,[status(thm)],[])).
% 9.28/6.87 tff(25193,plain,
% 9.28/6.87 ((~![B: $i] : ((~less_3(B)) | (v84(constB189, B) <=> v84(constB188, B)))) | (~less_3(bitIndex1)) | (v84(constB189, bitIndex1) <=> v84(constB188, bitIndex1))),
% 9.28/6.87 inference(modus_ponens,[status(thm)],[25192, 25191])).
% 9.28/6.87 tff(25194,plain,
% 9.28/6.87 (v84(constB189, bitIndex1) <=> v84(constB188, bitIndex1)),
% 9.28/6.87 inference(unit_resolution,[status(thm)],[25193, 9785, 1106])).
% 9.28/6.87 tff(25195,plain,
% 9.28/6.87 (((~![B: $i] : ((~less_3(B)) | (v84(constB188, B) <=> v123(constB188, B)))) | ((~less_3(bitIndex1)) | (v84(constB188, bitIndex1) <=> v123(constB188, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB188, B) <=> v123(constB188, B)))) | (~less_3(bitIndex1)) | (v84(constB188, bitIndex1) <=> v123(constB188, bitIndex1)))),
% 9.28/6.87 inference(rewrite,[status(thm)],[])).
% 9.28/6.87 tff(25196,plain,
% 9.28/6.87 ((~![B: $i] : ((~less_3(B)) | (v84(constB188, B) <=> v123(constB188, B)))) | ((~less_3(bitIndex1)) | (v84(constB188, bitIndex1) <=> v123(constB188, bitIndex1)))),
% 9.28/6.87 inference(quant_inst,[status(thm)],[])).
% 9.28/6.87 tff(25197,plain,
% 9.28/6.87 ((~![B: $i] : ((~less_3(B)) | (v84(constB188, B) <=> v123(constB188, B)))) | (~less_3(bitIndex1)) | (v84(constB188, bitIndex1) <=> v123(constB188, bitIndex1))),
% 9.28/6.87 inference(modus_ponens,[status(thm)],[25196, 25195])).
% 9.28/6.87 tff(25198,plain,
% 9.28/6.87 (v84(constB188, bitIndex1) <=> v123(constB188, bitIndex1)),
% 9.28/6.87 inference(unit_resolution,[status(thm)],[25197, 9785, 25119])).
% 9.28/6.87 tff(25199,plain,
% 9.28/6.87 (((~![B: $i] : ((~less_3(B)) | (v123(constB188, B) <=> v121(constB187, B)))) | ((~less_3(bitIndex1)) | (v123(constB188, bitIndex1) <=> v121(constB187, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB188, B) <=> v121(constB187, B)))) | (~less_3(bitIndex1)) | (v123(constB188, bitIndex1) <=> v121(constB187, bitIndex1)))),
% 9.28/6.87 inference(rewrite,[status(thm)],[])).
% 9.28/6.87 tff(25200,plain,
% 9.28/6.87 ((~![B: $i] : ((~less_3(B)) | (v123(constB188, B) <=> v121(constB187, B)))) | ((~less_3(bitIndex1)) | (v123(constB188, bitIndex1) <=> v121(constB187, bitIndex1)))),
% 9.28/6.87 inference(quant_inst,[status(thm)],[])).
% 9.28/6.87 tff(25201,plain,
% 9.28/6.87 ((~![B: $i] : ((~less_3(B)) | (v123(constB188, B) <=> v121(constB187, B)))) | (~less_3(bitIndex1)) | (v123(constB188, bitIndex1) <=> v121(constB187, bitIndex1))),
% 9.28/6.87 inference(modus_ponens,[status(thm)],[25200, 25199])).
% 9.28/6.87 tff(25202,plain,
% 9.28/6.87 (v123(constB188, bitIndex1) <=> v121(constB187, bitIndex1)),
% 9.28/6.87 inference(unit_resolution,[status(thm)],[25201, 9785, 25127])).
% 9.28/6.87 tff(25203,plain,
% 9.28/6.87 (((~![B: $i] : ((~less_3(B)) | (v121(constB187, B) <=> v124(constB187, B)))) | ((~less_3(bitIndex1)) | (v121(constB187, bitIndex1) <=> v124(constB187, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB187, B) <=> v124(constB187, B)))) | (~less_3(bitIndex1)) | (v121(constB187, bitIndex1) <=> v124(constB187, bitIndex1)))),
% 9.28/6.87 inference(rewrite,[status(thm)],[])).
% 9.28/6.87 tff(25204,plain,
% 9.28/6.87 ((~![B: $i] : ((~less_3(B)) | (v121(constB187, B) <=> v124(constB187, B)))) | ((~less_3(bitIndex1)) | (v121(constB187, bitIndex1) <=> v124(constB187, bitIndex1)))),
% 9.28/6.87 inference(quant_inst,[status(thm)],[])).
% 9.28/6.87 tff(25205,plain,
% 9.28/6.87 ((~![B: $i] : ((~less_3(B)) | (v121(constB187, B) <=> v124(constB187, B)))) | (~less_3(bitIndex1)) | (v121(constB187, bitIndex1) <=> v124(constB187, bitIndex1))),
% 9.28/6.87 inference(modus_ponens,[status(thm)],[25204, 25203])).
% 9.28/6.87 tff(25206,plain,
% 9.28/6.87 (v121(constB187, bitIndex1) <=> v124(constB187, bitIndex1)),
% 9.28/6.87 inference(unit_resolution,[status(thm)],[25205, 9785, 25135])).
% 9.28/6.87 tff(25207,plain,
% 9.28/6.87 (((~![B: $i] : ((~less_3(B)) | (v124(constB187, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v124(constB187, bitIndex1) <=> b100(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB187, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v124(constB187, bitIndex1) <=> b100(bitIndex1)))),
% 9.28/6.87 inference(rewrite,[status(thm)],[])).
% 9.28/6.87 tff(25208,plain,
% 9.28/6.87 ((~![B: $i] : ((~less_3(B)) | (v124(constB187, B) <=> b100(B)))) | ((~less_3(bitIndex1)) | (v124(constB187, bitIndex1) <=> b100(bitIndex1)))),
% 9.28/6.87 inference(quant_inst,[status(thm)],[])).
% 9.28/6.87 tff(25209,plain,
% 9.28/6.87 ((~![B: $i] : ((~less_3(B)) | (v124(constB187, B) <=> b100(B)))) | (~less_3(bitIndex1)) | (v124(constB187, bitIndex1) <=> b100(bitIndex1))),
% 9.28/6.87 inference(modus_ponens,[status(thm)],[25208, 25207])).
% 9.28/6.87 tff(25210,plain,
% 9.28/6.87 (v124(constB187, bitIndex1) <=> b100(bitIndex1)),
% 9.28/6.87 inference(unit_resolution,[status(thm)],[25209, 9785, 25144])).
% 9.28/6.87 tff(25211,plain,
% 9.28/6.87 ((~(v124(constB187, bitIndex1) <=> b100(bitIndex1))) | (~v124(constB187, bitIndex1)) | b100(bitIndex1)),
% 9.28/6.87 inference(tautology,[status(thm)],[])).
% 9.28/6.87 tff(25212,plain,
% 9.28/6.87 ((~(v124(constB187, bitIndex1) <=> b100(bitIndex1))) | (~v124(constB187, bitIndex1))),
% 9.28/6.87 inference(unit_resolution,[status(thm)],[25211, 10585])).
% 9.28/6.87 tff(25213,plain,
% 9.28/6.87 (~v124(constB187, bitIndex1)),
% 9.28/6.87 inference(unit_resolution,[status(thm)],[25212, 25210])).
% 9.28/6.87 tff(25214,plain,
% 9.28/6.87 ((~(v121(constB187, bitIndex1) <=> v124(constB187, bitIndex1))) | (~v121(constB187, bitIndex1)) | v124(constB187, bitIndex1)),
% 9.28/6.87 inference(tautology,[status(thm)],[])).
% 9.28/6.87 tff(25215,plain,
% 9.28/6.87 (~v121(constB187, bitIndex1)),
% 9.28/6.87 inference(unit_resolution,[status(thm)],[25214, 25213, 25206])).
% 9.28/6.87 tff(25216,plain,
% 9.28/6.87 ((~(v123(constB188, bitIndex1) <=> v121(constB187, bitIndex1))) | (~v123(constB188, bitIndex1)) | v121(constB187, bitIndex1)),
% 9.28/6.87 inference(tautology,[status(thm)],[])).
% 9.28/6.87 tff(25217,plain,
% 9.28/6.87 (~v123(constB188, bitIndex1)),
% 9.28/6.87 inference(unit_resolution,[status(thm)],[25216, 25215, 25202])).
% 9.28/6.87 tff(25218,plain,
% 9.28/6.87 ((~(v84(constB188, bitIndex1) <=> v123(constB188, bitIndex1))) | (~v84(constB188, bitIndex1)) | v123(constB188, bitIndex1)),
% 9.28/6.87 inference(tautology,[status(thm)],[])).
% 9.28/6.87 tff(25219,plain,
% 9.28/6.87 (~v84(constB188, bitIndex1)),
% 9.28/6.87 inference(unit_resolution,[status(thm)],[25218, 25217, 25198])).
% 9.28/6.87 tff(25220,plain,
% 9.28/6.87 ((~(v84(constB189, bitIndex1) <=> v84(constB188, bitIndex1))) | (~v84(constB189, bitIndex1)) | v84(constB188, bitIndex1)),
% 9.28/6.87 inference(tautology,[status(thm)],[])).
% 9.28/6.87 tff(25221,plain,
% 9.28/6.87 (~v84(constB189, bitIndex1)),
% 9.28/6.87 inference(unit_resolution,[status(thm)],[25220, 25219, 25194])).
% 9.28/6.87 tff(25222,plain,
% 9.28/6.87 ((~((~v84(constB189, bitIndex2)) | v84(constB189, bitIndex1) | v84(constB189, bitIndex0))) | (~v84(constB189, bitIndex2)) | v84(constB189, bitIndex1) | v84(constB189, bitIndex0)),
% 9.28/6.87 inference(tautology,[status(thm)],[])).
% 9.28/6.87 tff(25223,plain,
% 9.28/6.87 (~((~v84(constB189, bitIndex2)) | v84(constB189, bitIndex1) | v84(constB189, bitIndex0))),
% 9.28/6.87 inference(unit_resolution,[status(thm)],[25222, 25221, 25190, 25159])).
% 9.28/6.87 tff(25224,plain,
% 9.28/6.87 ((~(v117(constB189) <=> (~((~v84(constB189, bitIndex2)) | v84(constB189, bitIndex1) | v84(constB189, bitIndex0))))) | v117(constB189) | ((~v84(constB189, bitIndex2)) | v84(constB189, bitIndex1) | v84(constB189, bitIndex0))),
% 9.28/6.87 inference(tautology,[status(thm)],[])).
% 9.28/6.87 tff(25225,plain,
% 9.28/6.87 (v117(constB189)),
% 9.28/6.87 inference(unit_resolution,[status(thm)],[25224, 25223, 1078])).
% 9.28/6.87 tff(25226,plain,
% 9.28/6.87 ((v110(constB189) | v117(constB189)) | (~v117(constB189))),
% 9.28/6.87 inference(tautology,[status(thm)],[])).
% 9.28/6.87 tff(25227,plain,
% 9.28/6.87 (v110(constB189) | v117(constB189)),
% 9.28/6.87 inference(unit_resolution,[status(thm)],[25226, 25225])).
% 9.28/6.87 tff(25228,plain,
% 9.28/6.87 ((~(v109(constB189) <=> (v110(constB189) | v117(constB189)))) | v109(constB189) | (~(v110(constB189) | v117(constB189)))),
% 9.28/6.87 inference(tautology,[status(thm)],[])).
% 9.28/6.87 tff(25229,plain,
% 9.28/6.87 (v109(constB189)),
% 9.28/6.87 inference(unit_resolution,[status(thm)],[25228, 25227, 1058])).
% 9.28/6.87 tff(25230,plain,
% 9.28/6.87 ((v109(constB189) | v118(constB189)) | (~v109(constB189))),
% 9.28/6.87 inference(tautology,[status(thm)],[])).
% 9.28/6.87 tff(25231,plain,
% 9.28/6.87 (v109(constB189) | v118(constB189)),
% 9.28/6.87 inference(unit_resolution,[status(thm)],[25230, 25229])).
% 9.28/6.87 tff(25232,plain,
% 9.28/6.87 ((~(v108(constB189) <=> (v109(constB189) | v118(constB189)))) | v108(constB189) | (~(v109(constB189) | v118(constB189)))),
% 9.28/6.87 inference(tautology,[status(thm)],[])).
% 9.28/6.87 tff(25233,plain,
% 9.28/6.87 (v108(constB189)),
% 9.28/6.87 inference(unit_resolution,[status(thm)],[25232, 25231, 1049])).
% 9.28/6.87 tff(25234,plain,
% 9.28/6.87 ((v108(constB189) | v119(constB189)) | (~v108(constB189))),
% 9.28/6.87 inference(tautology,[status(thm)],[])).
% 9.28/6.87 tff(25235,plain,
% 9.28/6.87 (v108(constB189) | v119(constB189)),
% 9.28/6.87 inference(unit_resolution,[status(thm)],[25234, 25233])).
% 9.28/6.87 tff(25236,plain,
% 9.28/6.87 ((~(v107(constB189) <=> (v108(constB189) | v119(constB189)))) | v107(constB189) | (~(v108(constB189) | v119(constB189)))),
% 9.28/6.87 inference(tautology,[status(thm)],[])).
% 9.28/6.87 tff(25237,plain,
% 9.28/6.87 (v107(constB189)),
% 9.28/6.87 inference(unit_resolution,[status(thm)],[25236, 25235, 1047])).
% 9.28/6.87 tff(25238,plain,
% 9.28/6.87 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB189)) <=> v105(constB189))),
% 9.28/6.87 inference(quant_inst,[status(thm)],[])).
% 9.28/6.87 tff(25239,plain,
% 9.28/6.87 ((~v120(constB189)) <=> v105(constB189)),
% 9.28/6.87 inference(unit_resolution,[status(thm)],[25238, 9842])).
% 9.28/6.87 tff(25240,plain,
% 9.28/6.87 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB189) <=> v26(constB189))),
% 9.28/6.87 inference(quant_inst,[status(thm)],[])).
% 9.28/6.87 tff(25241,plain,
% 9.28/6.87 (v105(constB189) <=> v26(constB189)),
% 9.28/6.87 inference(unit_resolution,[status(thm)],[25240, 9854])).
% 9.28/6.87 tff(25242,plain,
% 9.28/6.87 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB189))),
% 9.28/6.87 inference(quant_inst,[status(thm)],[])).
% 9.28/6.87 tff(25243,plain,
% 9.28/6.87 (~v26(constB189)),
% 9.28/6.87 inference(unit_resolution,[status(thm)],[25242, 9866])).
% 9.28/6.87 tff(25244,plain,
% 9.28/6.87 ((~(v105(constB189) <=> v26(constB189))) | (~v105(constB189)) | v26(constB189)),
% 9.28/6.87 inference(tautology,[status(thm)],[])).
% 9.28/6.87 tff(25245,plain,
% 9.28/6.87 ((~(v105(constB189) <=> v26(constB189))) | (~v105(constB189))),
% 9.28/6.87 inference(unit_resolution,[status(thm)],[25244, 25243])).
% 9.28/6.87 tff(25246,plain,
% 9.28/6.87 (~v105(constB189)),
% 9.28/6.87 inference(unit_resolution,[status(thm)],[25245, 25241])).
% 9.28/6.87 tff(25247,plain,
% 9.28/6.87 ((~((~v120(constB189)) <=> v105(constB189))) | v120(constB189) | v105(constB189)),
% 9.28/6.87 inference(tautology,[status(thm)],[])).
% 9.28/6.87 tff(25248,plain,
% 9.28/6.87 ((~((~v120(constB189)) <=> v105(constB189))) | v120(constB189)),
% 9.28/6.87 inference(unit_resolution,[status(thm)],[25247, 25246])).
% 9.28/6.87 tff(25249,plain,
% 9.28/6.87 (v120(constB189)),
% 9.28/6.87 inference(unit_resolution,[status(thm)],[25248, 25239])).
% 9.28/6.87 tff(25250,plain,
% 9.28/6.87 ((~((~v107(constB189)) | (~v120(constB189)))) | (~v107(constB189)) | (~v120(constB189))),
% 9.28/6.87 inference(tautology,[status(thm)],[])).
% 9.28/6.87 tff(25251,plain,
% 9.28/6.87 ((~((~v107(constB189)) | (~v120(constB189)))) | (~v107(constB189))),
% 9.28/6.87 inference(unit_resolution,[status(thm)],[25250, 25249])).
% 9.28/6.87 tff(25252,plain,
% 9.28/6.87 (~((~v107(constB189)) | (~v120(constB189)))),
% 9.28/6.87 inference(unit_resolution,[status(thm)],[25251, 25237])).
% 9.28/6.87 tff(25253,plain,
% 9.28/6.87 ((~(v106(constB189) <=> (~((~v107(constB189)) | (~v120(constB189)))))) | v106(constB189) | ((~v107(constB189)) | (~v120(constB189)))),
% 9.28/6.87 inference(tautology,[status(thm)],[])).
% 9.28/6.87 tff(25254,plain,
% 9.28/6.87 (v106(constB189)),
% 9.28/6.87 inference(unit_resolution,[status(thm)],[25253, 25252, 1045])).
% 9.28/6.87 tff(25255,plain,
% 9.28/6.87 ((v105(constB189) | v106(constB189)) | (~v106(constB189))),
% 9.28/6.87 inference(tautology,[status(thm)],[])).
% 9.28/6.87 tff(25256,plain,
% 9.28/6.87 (v105(constB189) | v106(constB189)),
% 9.28/6.87 inference(unit_resolution,[status(thm)],[25255, 25254])).
% 9.28/6.87 tff(25257,plain,
% 9.28/6.87 ((~(v102(constB189) <=> (v105(constB189) | v106(constB189)))) | v102(constB189) | (~(v105(constB189) | v106(constB189)))),
% 9.28/6.87 inference(tautology,[status(thm)],[])).
% 9.28/6.87 tff(25258,plain,
% 9.28/6.87 (v102(constB189)),
% 9.28/6.87 inference(unit_resolution,[status(thm)],[25257, 25256, 1043])).
% 9.28/6.87 tff(25259,plain,
% 9.28/6.87 ((~(v104(constB190) <=> v102(constB189))) | v104(constB190) | (~v102(constB189))),
% 9.28/6.87 inference(tautology,[status(thm)],[])).
% 9.28/6.87 tff(25260,plain,
% 9.28/6.87 (v104(constB190)),
% 9.28/6.87 inference(unit_resolution,[status(thm)],[25259, 25258, 1041])).
% 9.28/6.87 tff(25261,plain,
% 9.28/6.87 ((~((~v104(constB190)) | (~v95(constB190)))) | (~v104(constB190)) | (~v95(constB190))),
% 9.28/6.87 inference(tautology,[status(thm)],[])).
% 9.28/6.87 tff(25262,plain,
% 9.28/6.87 (~((~v104(constB190)) | (~v95(constB190)))),
% 9.28/6.87 inference(unit_resolution,[status(thm)],[25261, 25260, 1037])).
% 9.28/6.87 tff(25263,plain,
% 9.28/6.87 ((~(v94(constB190) <=> (~((~v104(constB190)) | (~v95(constB190)))))) | v94(constB190) | ((~v104(constB190)) | (~v95(constB190)))),
% 9.28/6.87 inference(tautology,[status(thm)],[])).
% 9.28/6.87 tff(25264,plain,
% 9.28/6.87 (v94(constB190)),
% 9.28/6.87 inference(unit_resolution,[status(thm)],[25263, 25262, 1006])).
% 9.28/6.87 tff(25265,plain,
% 9.28/6.87 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB190)) | ![B: $i] : ((~less_3(B)) | (v84(constB190, B) <=> v123(constB190, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB190)) | ![B: $i] : ((~less_3(B)) | (v84(constB190, B) <=> v123(constB190, B))))),
% 9.28/6.87 inference(rewrite,[status(thm)],[])).
% 9.28/6.87 tff(25266,plain,
% 9.28/6.87 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB190)) | ![B: $i] : ((~less_3(B)) | (v84(constB190, B) <=> v123(constB190, B))))),
% 9.28/6.87 inference(quant_inst,[status(thm)],[])).
% 9.28/6.87 tff(25267,plain,
% 9.28/6.87 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB190)) | ![B: $i] : ((~less_3(B)) | (v84(constB190, B) <=> v123(constB190, B)))),
% 9.28/6.87 inference(modus_ponens,[status(thm)],[25266, 25265])).
% 9.28/6.87 tff(25268,plain,
% 9.28/6.87 ((~v94(constB190)) | ![B: $i] : ((~less_3(B)) | (v84(constB190, B) <=> v123(constB190, B)))),
% 9.28/6.87 inference(unit_resolution,[status(thm)],[25267, 9902])).
% 9.28/6.87 tff(25269,plain,
% 9.28/6.87 (![B: $i] : ((~less_3(B)) | (v84(constB190, B) <=> v123(constB190, B)))),
% 9.28/6.87 inference(unit_resolution,[status(thm)],[25268, 25264])).
% 9.28/6.87 tff(25270,plain,
% 9.28/6.87 (((~![B: $i] : ((~less_3(B)) | (v84(constB190, B) <=> v123(constB190, B)))) | ((~less_3(bitIndex2)) | (v84(constB190, bitIndex2) <=> v123(constB190, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB190, B) <=> v123(constB190, B)))) | (~less_3(bitIndex2)) | (v84(constB190, bitIndex2) <=> v123(constB190, bitIndex2)))),
% 9.28/6.87 inference(rewrite,[status(thm)],[])).
% 9.28/6.87 tff(25271,plain,
% 9.28/6.87 ((~![B: $i] : ((~less_3(B)) | (v84(constB190, B) <=> v123(constB190, B)))) | ((~less_3(bitIndex2)) | (v84(constB190, bitIndex2) <=> v123(constB190, bitIndex2)))),
% 9.28/6.87 inference(quant_inst,[status(thm)],[])).
% 9.28/6.87 tff(25272,plain,
% 9.28/6.87 ((~![B: $i] : ((~less_3(B)) | (v84(constB190, B) <=> v123(constB190, B)))) | (~less_3(bitIndex2)) | (v84(constB190, bitIndex2) <=> v123(constB190, bitIndex2))),
% 9.28/6.88 inference(modus_ponens,[status(thm)],[25271, 25270])).
% 9.28/6.88 tff(25273,plain,
% 9.28/6.88 (v84(constB190, bitIndex2) <=> v123(constB190, bitIndex2)),
% 9.28/6.88 inference(unit_resolution,[status(thm)],[25272, 832, 25269])).
% 9.28/6.88 tff(25274,plain,
% 9.28/6.88 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB189, constB190)) | ![B: $i] : ((~less_3(B)) | (v123(constB190, B) <=> v121(constB189, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB189, constB190)) | ![B: $i] : ((~less_3(B)) | (v123(constB190, B) <=> v121(constB189, B))))),
% 9.28/6.88 inference(rewrite,[status(thm)],[])).
% 9.28/6.88 tff(25275,plain,
% 9.28/6.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB189, constB190)) | ![B: $i] : ((~less_3(B)) | (v123(constB190, B) <=> v121(constB189, B))))),
% 9.28/6.88 inference(quant_inst,[status(thm)],[])).
% 9.28/6.88 tff(25276,plain,
% 9.28/6.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB189, constB190)) | ![B: $i] : ((~less_3(B)) | (v123(constB190, B) <=> v121(constB189, B)))),
% 9.28/6.88 inference(modus_ponens,[status(thm)],[25275, 25274])).
% 9.28/6.88 tff(25277,plain,
% 9.28/6.88 (![B: $i] : ((~less_3(B)) | (v123(constB190, B) <=> v121(constB189, B)))),
% 9.28/6.88 inference(unit_resolution,[status(thm)],[25276, 1002, 9924])).
% 9.28/6.88 tff(25278,plain,
% 9.28/6.88 (((~![B: $i] : ((~less_3(B)) | (v123(constB190, B) <=> v121(constB189, B)))) | ((~less_3(bitIndex2)) | (v123(constB190, bitIndex2) <=> v121(constB189, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB190, B) <=> v121(constB189, B)))) | (~less_3(bitIndex2)) | (v123(constB190, bitIndex2) <=> v121(constB189, bitIndex2)))),
% 9.28/6.88 inference(rewrite,[status(thm)],[])).
% 9.28/6.88 tff(25279,plain,
% 9.28/6.88 ((~![B: $i] : ((~less_3(B)) | (v123(constB190, B) <=> v121(constB189, B)))) | ((~less_3(bitIndex2)) | (v123(constB190, bitIndex2) <=> v121(constB189, bitIndex2)))),
% 9.28/6.88 inference(quant_inst,[status(thm)],[])).
% 9.28/6.88 tff(25280,plain,
% 9.28/6.88 ((~![B: $i] : ((~less_3(B)) | (v123(constB190, B) <=> v121(constB189, B)))) | (~less_3(bitIndex2)) | (v123(constB190, bitIndex2) <=> v121(constB189, bitIndex2))),
% 9.28/6.88 inference(modus_ponens,[status(thm)],[25279, 25278])).
% 9.28/6.88 tff(25281,plain,
% 9.28/6.88 (v123(constB190, bitIndex2) <=> v121(constB189, bitIndex2)),
% 9.28/6.88 inference(unit_resolution,[status(thm)],[25280, 832, 25277])).
% 9.28/6.88 tff(25282,plain,
% 9.28/6.88 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB189) | ![B: $i] : ((~less_3(B)) | (v121(constB189, B) <=> v124(constB189, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB189) | ![B: $i] : ((~less_3(B)) | (v121(constB189, B) <=> v124(constB189, B))))),
% 9.28/6.88 inference(rewrite,[status(thm)],[])).
% 9.28/6.88 tff(25283,plain,
% 9.28/6.88 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB189) | ![B: $i] : ((~less_3(B)) | (v121(constB189, B) <=> v124(constB189, B))))),
% 9.28/6.88 inference(quant_inst,[status(thm)],[])).
% 9.28/6.88 tff(25284,plain,
% 9.28/6.88 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB189) | ![B: $i] : ((~less_3(B)) | (v121(constB189, B) <=> v124(constB189, B)))),
% 9.28/6.88 inference(modus_ponens,[status(thm)],[25283, 25282])).
% 9.28/6.88 tff(25285,plain,
% 9.28/6.88 (![B: $i] : ((~less_3(B)) | (v121(constB189, B) <=> v124(constB189, B)))),
% 9.28/6.88 inference(unit_resolution,[status(thm)],[25284, 9945, 25246])).
% 9.28/6.88 tff(25286,plain,
% 9.28/6.88 (((~![B: $i] : ((~less_3(B)) | (v121(constB189, B) <=> v124(constB189, B)))) | ((~less_3(bitIndex2)) | (v121(constB189, bitIndex2) <=> v124(constB189, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB189, B) <=> v124(constB189, B)))) | (~less_3(bitIndex2)) | (v121(constB189, bitIndex2) <=> v124(constB189, bitIndex2)))),
% 9.28/6.88 inference(rewrite,[status(thm)],[])).
% 9.28/6.88 tff(25287,plain,
% 9.28/6.88 ((~![B: $i] : ((~less_3(B)) | (v121(constB189, B) <=> v124(constB189, B)))) | ((~less_3(bitIndex2)) | (v121(constB189, bitIndex2) <=> v124(constB189, bitIndex2)))),
% 9.28/6.88 inference(quant_inst,[status(thm)],[])).
% 9.28/6.88 tff(25288,plain,
% 9.28/6.88 ((~![B: $i] : ((~less_3(B)) | (v121(constB189, B) <=> v124(constB189, B)))) | (~less_3(bitIndex2)) | (v121(constB189, bitIndex2) <=> v124(constB189, bitIndex2))),
% 9.28/6.88 inference(modus_ponens,[status(thm)],[25287, 25286])).
% 9.28/6.88 tff(25289,plain,
% 9.28/6.88 (v121(constB189, bitIndex2) <=> v124(constB189, bitIndex2)),
% 9.28/6.88 inference(unit_resolution,[status(thm)],[25288, 832, 25285])).
% 9.28/6.88 tff(25290,plain,
% 9.28/6.88 (((~![VarCurr: $i] : ((~v117(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b101(B))))) | ((~v117(constB189)) | ![B: $i] : ((~less_3(B)) | (v124(constB189, B) <=> b101(B))))) <=> ((~![VarCurr: $i] : ((~v117(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b101(B))))) | (~v117(constB189)) | ![B: $i] : ((~less_3(B)) | (v124(constB189, B) <=> b101(B))))),
% 9.28/6.88 inference(rewrite,[status(thm)],[])).
% 9.28/6.88 tff(25291,plain,
% 9.28/6.88 ((~![VarCurr: $i] : ((~v117(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b101(B))))) | ((~v117(constB189)) | ![B: $i] : ((~less_3(B)) | (v124(constB189, B) <=> b101(B))))),
% 9.28/6.88 inference(quant_inst,[status(thm)],[])).
% 9.28/6.88 tff(25292,plain,
% 9.28/6.88 ((~![VarCurr: $i] : ((~v117(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b101(B))))) | (~v117(constB189)) | ![B: $i] : ((~less_3(B)) | (v124(constB189, B) <=> b101(B)))),
% 9.28/6.88 inference(modus_ponens,[status(thm)],[25291, 25290])).
% 9.28/6.88 tff(25293,plain,
% 9.28/6.88 ((~v117(constB189)) | ![B: $i] : ((~less_3(B)) | (v124(constB189, B) <=> b101(B)))),
% 9.28/6.88 inference(unit_resolution,[status(thm)],[25292, 10677])).
% 9.28/6.88 tff(25294,plain,
% 9.28/6.88 (![B: $i] : ((~less_3(B)) | (v124(constB189, B) <=> b101(B)))),
% 9.28/6.88 inference(unit_resolution,[status(thm)],[25293, 25225])).
% 9.28/6.88 tff(25295,plain,
% 9.28/6.88 (((~![B: $i] : ((~less_3(B)) | (v124(constB189, B) <=> b101(B)))) | ((~less_3(bitIndex2)) | (v124(constB189, bitIndex2) <=> b101(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB189, B) <=> b101(B)))) | (~less_3(bitIndex2)) | (v124(constB189, bitIndex2) <=> b101(bitIndex2)))),
% 9.28/6.88 inference(rewrite,[status(thm)],[])).
% 9.28/6.88 tff(25296,plain,
% 9.28/6.88 ((~![B: $i] : ((~less_3(B)) | (v124(constB189, B) <=> b101(B)))) | ((~less_3(bitIndex2)) | (v124(constB189, bitIndex2) <=> b101(bitIndex2)))),
% 9.28/6.88 inference(quant_inst,[status(thm)],[])).
% 9.28/6.88 tff(25297,plain,
% 9.28/6.88 ((~![B: $i] : ((~less_3(B)) | (v124(constB189, B) <=> b101(B)))) | (~less_3(bitIndex2)) | (v124(constB189, bitIndex2) <=> b101(bitIndex2))),
% 9.28/6.88 inference(modus_ponens,[status(thm)],[25296, 25295])).
% 9.28/6.88 tff(25298,plain,
% 9.28/6.88 (v124(constB189, bitIndex2) <=> b101(bitIndex2)),
% 9.28/6.88 inference(unit_resolution,[status(thm)],[25297, 832, 25294])).
% 9.28/6.88 tff(25299,plain,
% 9.28/6.88 ((~(v124(constB189, bitIndex2) <=> b101(bitIndex2))) | v124(constB189, bitIndex2) | (~b101(bitIndex2))),
% 9.28/6.88 inference(tautology,[status(thm)],[])).
% 9.28/6.88 tff(25300,plain,
% 9.28/6.88 ((~(v124(constB189, bitIndex2) <=> b101(bitIndex2))) | v124(constB189, bitIndex2)),
% 9.28/6.88 inference(unit_resolution,[status(thm)],[25299, 10689])).
% 9.28/6.88 tff(25301,plain,
% 9.28/6.88 (v124(constB189, bitIndex2)),
% 9.28/6.88 inference(unit_resolution,[status(thm)],[25300, 25298])).
% 9.28/6.88 tff(25302,plain,
% 9.28/6.88 ((~(v121(constB189, bitIndex2) <=> v124(constB189, bitIndex2))) | v121(constB189, bitIndex2) | (~v124(constB189, bitIndex2))),
% 9.28/6.88 inference(tautology,[status(thm)],[])).
% 9.28/6.88 tff(25303,plain,
% 9.28/6.88 (v121(constB189, bitIndex2)),
% 9.28/6.88 inference(unit_resolution,[status(thm)],[25302, 25301, 25289])).
% 9.28/6.88 tff(25304,plain,
% 9.28/6.88 ((~(v123(constB190, bitIndex2) <=> v121(constB189, bitIndex2))) | v123(constB190, bitIndex2) | (~v121(constB189, bitIndex2))),
% 9.28/6.88 inference(tautology,[status(thm)],[])).
% 9.28/6.88 tff(25305,plain,
% 9.28/6.88 (v123(constB190, bitIndex2)),
% 9.28/6.88 inference(unit_resolution,[status(thm)],[25304, 25303, 25281])).
% 9.28/6.88 tff(25306,plain,
% 9.28/6.88 ((~(v84(constB190, bitIndex2) <=> v123(constB190, bitIndex2))) | v84(constB190, bitIndex2) | (~v123(constB190, bitIndex2))),
% 9.28/6.88 inference(tautology,[status(thm)],[])).
% 9.28/6.88 tff(25307,plain,
% 9.28/6.88 (v84(constB190, bitIndex2)),
% 9.28/6.88 inference(unit_resolution,[status(thm)],[25306, 25305, 25273])).
% 9.28/6.88 tff(25308,plain,
% 9.28/6.88 ((~(v84(constB191, bitIndex2) <=> v84(constB190, bitIndex2))) | v84(constB191, bitIndex2) | (~v84(constB190, bitIndex2))),
% 9.28/6.88 inference(tautology,[status(thm)],[])).
% 9.28/6.88 tff(25309,plain,
% 9.28/6.88 (v84(constB191, bitIndex2)),
% 9.28/6.88 inference(unit_resolution,[status(thm)],[25308, 25307, 999])).
% 9.28/6.88 tff(25310,plain,
% 9.28/6.88 (((~![B: $i] : ((~less_3(B)) | (v84(constB191, B) <=> v84(constB190, B)))) | ((~less_3(bitIndex0)) | (v84(constB191, bitIndex0) <=> v84(constB190, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB191, B) <=> v84(constB190, B)))) | (~less_3(bitIndex0)) | (v84(constB191, bitIndex0) <=> v84(constB190, bitIndex0)))),
% 9.28/6.88 inference(rewrite,[status(thm)],[])).
% 9.28/6.88 tff(25311,plain,
% 9.28/6.88 ((~![B: $i] : ((~less_3(B)) | (v84(constB191, B) <=> v84(constB190, B)))) | ((~less_3(bitIndex0)) | (v84(constB191, bitIndex0) <=> v84(constB190, bitIndex0)))),
% 9.28/6.88 inference(quant_inst,[status(thm)],[])).
% 9.28/6.88 tff(25312,plain,
% 9.28/6.88 ((~![B: $i] : ((~less_3(B)) | (v84(constB191, B) <=> v84(constB190, B)))) | (~less_3(bitIndex0)) | (v84(constB191, bitIndex0) <=> v84(constB190, bitIndex0))),
% 9.28/6.88 inference(modus_ponens,[status(thm)],[25311, 25310])).
% 9.28/6.88 tff(25313,plain,
% 9.28/6.88 (v84(constB191, bitIndex0) <=> v84(constB190, bitIndex0)),
% 9.28/6.88 inference(unit_resolution,[status(thm)],[25312, 9772, 995])).
% 9.28/6.88 tff(25314,plain,
% 9.28/6.88 (((~![B: $i] : ((~less_3(B)) | (v84(constB190, B) <=> v123(constB190, B)))) | ((~less_3(bitIndex0)) | (v84(constB190, bitIndex0) <=> v123(constB190, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB190, B) <=> v123(constB190, B)))) | (~less_3(bitIndex0)) | (v84(constB190, bitIndex0) <=> v123(constB190, bitIndex0)))),
% 9.28/6.88 inference(rewrite,[status(thm)],[])).
% 9.28/6.88 tff(25315,plain,
% 9.28/6.88 ((~![B: $i] : ((~less_3(B)) | (v84(constB190, B) <=> v123(constB190, B)))) | ((~less_3(bitIndex0)) | (v84(constB190, bitIndex0) <=> v123(constB190, bitIndex0)))),
% 9.28/6.88 inference(quant_inst,[status(thm)],[])).
% 9.28/6.88 tff(25316,plain,
% 9.28/6.88 ((~![B: $i] : ((~less_3(B)) | (v84(constB190, B) <=> v123(constB190, B)))) | (~less_3(bitIndex0)) | (v84(constB190, bitIndex0) <=> v123(constB190, bitIndex0))),
% 9.28/6.88 inference(modus_ponens,[status(thm)],[25315, 25314])).
% 9.28/6.88 tff(25317,plain,
% 9.28/6.88 (v84(constB190, bitIndex0) <=> v123(constB190, bitIndex0)),
% 9.28/6.88 inference(unit_resolution,[status(thm)],[25316, 9772, 25269])).
% 9.28/6.88 tff(25318,plain,
% 9.28/6.88 (((~![B: $i] : ((~less_3(B)) | (v123(constB190, B) <=> v121(constB189, B)))) | ((~less_3(bitIndex0)) | (v123(constB190, bitIndex0) <=> v121(constB189, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB190, B) <=> v121(constB189, B)))) | (~less_3(bitIndex0)) | (v123(constB190, bitIndex0) <=> v121(constB189, bitIndex0)))),
% 9.28/6.88 inference(rewrite,[status(thm)],[])).
% 9.28/6.88 tff(25319,plain,
% 9.28/6.88 ((~![B: $i] : ((~less_3(B)) | (v123(constB190, B) <=> v121(constB189, B)))) | ((~less_3(bitIndex0)) | (v123(constB190, bitIndex0) <=> v121(constB189, bitIndex0)))),
% 9.28/6.88 inference(quant_inst,[status(thm)],[])).
% 9.28/6.88 tff(25320,plain,
% 9.28/6.88 ((~![B: $i] : ((~less_3(B)) | (v123(constB190, B) <=> v121(constB189, B)))) | (~less_3(bitIndex0)) | (v123(constB190, bitIndex0) <=> v121(constB189, bitIndex0))),
% 9.28/6.88 inference(modus_ponens,[status(thm)],[25319, 25318])).
% 9.28/6.88 tff(25321,plain,
% 9.28/6.88 (v123(constB190, bitIndex0) <=> v121(constB189, bitIndex0)),
% 9.28/6.88 inference(unit_resolution,[status(thm)],[25320, 9772, 25277])).
% 9.28/6.88 tff(25322,plain,
% 9.28/6.88 (((~![B: $i] : ((~less_3(B)) | (v121(constB189, B) <=> v124(constB189, B)))) | ((~less_3(bitIndex0)) | (v121(constB189, bitIndex0) <=> v124(constB189, bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB189, B) <=> v124(constB189, B)))) | (~less_3(bitIndex0)) | (v121(constB189, bitIndex0) <=> v124(constB189, bitIndex0)))),
% 9.28/6.88 inference(rewrite,[status(thm)],[])).
% 9.28/6.88 tff(25323,plain,
% 9.28/6.88 ((~![B: $i] : ((~less_3(B)) | (v121(constB189, B) <=> v124(constB189, B)))) | ((~less_3(bitIndex0)) | (v121(constB189, bitIndex0) <=> v124(constB189, bitIndex0)))),
% 9.28/6.88 inference(quant_inst,[status(thm)],[])).
% 9.28/6.88 tff(25324,plain,
% 9.28/6.88 ((~![B: $i] : ((~less_3(B)) | (v121(constB189, B) <=> v124(constB189, B)))) | (~less_3(bitIndex0)) | (v121(constB189, bitIndex0) <=> v124(constB189, bitIndex0))),
% 9.28/6.88 inference(modus_ponens,[status(thm)],[25323, 25322])).
% 9.28/6.88 tff(25325,plain,
% 9.28/6.88 (v121(constB189, bitIndex0) <=> v124(constB189, bitIndex0)),
% 9.28/6.88 inference(unit_resolution,[status(thm)],[25324, 9772, 25285])).
% 9.28/6.88 tff(25326,plain,
% 9.28/6.88 (((~![B: $i] : ((~less_3(B)) | (v124(constB189, B) <=> b101(B)))) | ((~less_3(bitIndex0)) | (v124(constB189, bitIndex0) <=> b101(bitIndex0)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB189, B) <=> b101(B)))) | (~less_3(bitIndex0)) | (v124(constB189, bitIndex0) <=> b101(bitIndex0)))),
% 9.28/6.88 inference(rewrite,[status(thm)],[])).
% 9.28/6.88 tff(25327,plain,
% 9.28/6.88 ((~![B: $i] : ((~less_3(B)) | (v124(constB189, B) <=> b101(B)))) | ((~less_3(bitIndex0)) | (v124(constB189, bitIndex0) <=> b101(bitIndex0)))),
% 9.28/6.88 inference(quant_inst,[status(thm)],[])).
% 9.28/6.88 tff(25328,plain,
% 9.28/6.88 ((~![B: $i] : ((~less_3(B)) | (v124(constB189, B) <=> b101(B)))) | (~less_3(bitIndex0)) | (v124(constB189, bitIndex0) <=> b101(bitIndex0))),
% 9.28/6.88 inference(modus_ponens,[status(thm)],[25327, 25326])).
% 9.28/6.88 tff(25329,plain,
% 9.28/6.88 (v124(constB189, bitIndex0) <=> b101(bitIndex0)),
% 9.28/6.88 inference(unit_resolution,[status(thm)],[25328, 9772, 25294])).
% 9.28/6.88 tff(25330,plain,
% 9.28/6.88 ((~(v124(constB189, bitIndex0) <=> b101(bitIndex0))) | v124(constB189, bitIndex0) | (~b101(bitIndex0))),
% 9.28/6.88 inference(tautology,[status(thm)],[])).
% 9.28/6.88 tff(25331,plain,
% 9.28/6.88 ((~(v124(constB189, bitIndex0) <=> b101(bitIndex0))) | v124(constB189, bitIndex0)),
% 9.28/6.88 inference(unit_resolution,[status(thm)],[25330, 10723])).
% 9.28/6.88 tff(25332,plain,
% 9.28/6.88 (v124(constB189, bitIndex0)),
% 9.28/6.88 inference(unit_resolution,[status(thm)],[25331, 25329])).
% 9.28/6.88 tff(25333,plain,
% 9.28/6.88 ((~(v121(constB189, bitIndex0) <=> v124(constB189, bitIndex0))) | v121(constB189, bitIndex0) | (~v124(constB189, bitIndex0))),
% 9.28/6.88 inference(tautology,[status(thm)],[])).
% 9.28/6.88 tff(25334,plain,
% 9.28/6.88 (v121(constB189, bitIndex0)),
% 9.28/6.88 inference(unit_resolution,[status(thm)],[25333, 25332, 25325])).
% 9.28/6.88 tff(25335,plain,
% 9.28/6.88 ((~(v123(constB190, bitIndex0) <=> v121(constB189, bitIndex0))) | v123(constB190, bitIndex0) | (~v121(constB189, bitIndex0))),
% 9.28/6.88 inference(tautology,[status(thm)],[])).
% 9.28/6.88 tff(25336,plain,
% 9.28/6.88 (v123(constB190, bitIndex0)),
% 9.28/6.88 inference(unit_resolution,[status(thm)],[25335, 25334, 25321])).
% 9.28/6.88 tff(25337,plain,
% 9.28/6.88 ((~(v84(constB190, bitIndex0) <=> v123(constB190, bitIndex0))) | v84(constB190, bitIndex0) | (~v123(constB190, bitIndex0))),
% 9.28/6.88 inference(tautology,[status(thm)],[])).
% 9.28/6.88 tff(25338,plain,
% 9.28/6.88 (v84(constB190, bitIndex0)),
% 9.28/6.88 inference(unit_resolution,[status(thm)],[25337, 25336, 25317])).
% 9.28/6.88 tff(25339,plain,
% 9.28/6.88 ((~(v84(constB191, bitIndex0) <=> v84(constB190, bitIndex0))) | v84(constB191, bitIndex0) | (~v84(constB190, bitIndex0))),
% 9.28/6.88 inference(tautology,[status(thm)],[])).
% 9.28/6.88 tff(25340,plain,
% 9.28/6.88 (v84(constB191, bitIndex0)),
% 9.28/6.88 inference(unit_resolution,[status(thm)],[25339, 25338, 25313])).
% 9.28/6.88 tff(25341,plain,
% 9.28/6.88 (((~![B: $i] : ((~less_3(B)) | (v84(constB191, B) <=> v84(constB190, B)))) | ((~less_3(bitIndex1)) | (v84(constB191, bitIndex1) <=> v84(constB190, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB191, B) <=> v84(constB190, B)))) | (~less_3(bitIndex1)) | (v84(constB191, bitIndex1) <=> v84(constB190, bitIndex1)))),
% 9.28/6.88 inference(rewrite,[status(thm)],[])).
% 9.28/6.88 tff(25342,plain,
% 9.28/6.88 ((~![B: $i] : ((~less_3(B)) | (v84(constB191, B) <=> v84(constB190, B)))) | ((~less_3(bitIndex1)) | (v84(constB191, bitIndex1) <=> v84(constB190, bitIndex1)))),
% 9.28/6.88 inference(quant_inst,[status(thm)],[])).
% 9.28/6.88 tff(25343,plain,
% 9.28/6.88 ((~![B: $i] : ((~less_3(B)) | (v84(constB191, B) <=> v84(constB190, B)))) | (~less_3(bitIndex1)) | (v84(constB191, bitIndex1) <=> v84(constB190, bitIndex1))),
% 9.28/6.88 inference(modus_ponens,[status(thm)],[25342, 25341])).
% 9.28/6.88 tff(25344,plain,
% 9.28/6.88 (v84(constB191, bitIndex1) <=> v84(constB190, bitIndex1)),
% 9.28/6.88 inference(unit_resolution,[status(thm)],[25343, 9785, 995])).
% 9.28/6.88 tff(25345,plain,
% 9.28/6.88 (((~![B: $i] : ((~less_3(B)) | (v84(constB190, B) <=> v123(constB190, B)))) | ((~less_3(bitIndex1)) | (v84(constB190, bitIndex1) <=> v123(constB190, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB190, B) <=> v123(constB190, B)))) | (~less_3(bitIndex1)) | (v84(constB190, bitIndex1) <=> v123(constB190, bitIndex1)))),
% 9.28/6.88 inference(rewrite,[status(thm)],[])).
% 9.28/6.88 tff(25346,plain,
% 9.28/6.88 ((~![B: $i] : ((~less_3(B)) | (v84(constB190, B) <=> v123(constB190, B)))) | ((~less_3(bitIndex1)) | (v84(constB190, bitIndex1) <=> v123(constB190, bitIndex1)))),
% 9.28/6.88 inference(quant_inst,[status(thm)],[])).
% 9.28/6.88 tff(25347,plain,
% 9.28/6.88 ((~![B: $i] : ((~less_3(B)) | (v84(constB190, B) <=> v123(constB190, B)))) | (~less_3(bitIndex1)) | (v84(constB190, bitIndex1) <=> v123(constB190, bitIndex1))),
% 9.28/6.88 inference(modus_ponens,[status(thm)],[25346, 25345])).
% 9.28/6.88 tff(25348,plain,
% 9.28/6.88 (v84(constB190, bitIndex1) <=> v123(constB190, bitIndex1)),
% 9.28/6.88 inference(unit_resolution,[status(thm)],[25347, 9785, 25269])).
% 9.28/6.88 tff(25349,plain,
% 9.28/6.88 (((~![B: $i] : ((~less_3(B)) | (v123(constB190, B) <=> v121(constB189, B)))) | ((~less_3(bitIndex1)) | (v123(constB190, bitIndex1) <=> v121(constB189, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB190, B) <=> v121(constB189, B)))) | (~less_3(bitIndex1)) | (v123(constB190, bitIndex1) <=> v121(constB189, bitIndex1)))),
% 9.28/6.88 inference(rewrite,[status(thm)],[])).
% 9.28/6.88 tff(25350,plain,
% 9.28/6.88 ((~![B: $i] : ((~less_3(B)) | (v123(constB190, B) <=> v121(constB189, B)))) | ((~less_3(bitIndex1)) | (v123(constB190, bitIndex1) <=> v121(constB189, bitIndex1)))),
% 9.28/6.88 inference(quant_inst,[status(thm)],[])).
% 9.28/6.88 tff(25351,plain,
% 9.28/6.88 ((~![B: $i] : ((~less_3(B)) | (v123(constB190, B) <=> v121(constB189, B)))) | (~less_3(bitIndex1)) | (v123(constB190, bitIndex1) <=> v121(constB189, bitIndex1))),
% 9.28/6.88 inference(modus_ponens,[status(thm)],[25350, 25349])).
% 9.28/6.88 tff(25352,plain,
% 9.28/6.88 (v123(constB190, bitIndex1) <=> v121(constB189, bitIndex1)),
% 9.28/6.88 inference(unit_resolution,[status(thm)],[25351, 9785, 25277])).
% 9.28/6.88 tff(25353,plain,
% 9.28/6.88 (((~![B: $i] : ((~less_3(B)) | (v121(constB189, B) <=> v124(constB189, B)))) | ((~less_3(bitIndex1)) | (v121(constB189, bitIndex1) <=> v124(constB189, bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB189, B) <=> v124(constB189, B)))) | (~less_3(bitIndex1)) | (v121(constB189, bitIndex1) <=> v124(constB189, bitIndex1)))),
% 9.28/6.88 inference(rewrite,[status(thm)],[])).
% 9.28/6.88 tff(25354,plain,
% 9.28/6.88 ((~![B: $i] : ((~less_3(B)) | (v121(constB189, B) <=> v124(constB189, B)))) | ((~less_3(bitIndex1)) | (v121(constB189, bitIndex1) <=> v124(constB189, bitIndex1)))),
% 9.28/6.88 inference(quant_inst,[status(thm)],[])).
% 9.28/6.88 tff(25355,plain,
% 9.28/6.88 ((~![B: $i] : ((~less_3(B)) | (v121(constB189, B) <=> v124(constB189, B)))) | (~less_3(bitIndex1)) | (v121(constB189, bitIndex1) <=> v124(constB189, bitIndex1))),
% 9.28/6.88 inference(modus_ponens,[status(thm)],[25354, 25353])).
% 9.28/6.88 tff(25356,plain,
% 9.28/6.88 (v121(constB189, bitIndex1) <=> v124(constB189, bitIndex1)),
% 9.28/6.88 inference(unit_resolution,[status(thm)],[25355, 9785, 25285])).
% 9.28/6.88 tff(25357,plain,
% 9.28/6.88 (((~![B: $i] : ((~less_3(B)) | (v124(constB189, B) <=> b101(B)))) | ((~less_3(bitIndex1)) | (v124(constB189, bitIndex1) <=> b101(bitIndex1)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB189, B) <=> b101(B)))) | (~less_3(bitIndex1)) | (v124(constB189, bitIndex1) <=> b101(bitIndex1)))),
% 9.28/6.88 inference(rewrite,[status(thm)],[])).
% 9.28/6.88 tff(25358,plain,
% 9.28/6.88 ((~![B: $i] : ((~less_3(B)) | (v124(constB189, B) <=> b101(B)))) | ((~less_3(bitIndex1)) | (v124(constB189, bitIndex1) <=> b101(bitIndex1)))),
% 9.28/6.88 inference(quant_inst,[status(thm)],[])).
% 9.28/6.88 tff(25359,plain,
% 9.28/6.88 ((~![B: $i] : ((~less_3(B)) | (v124(constB189, B) <=> b101(B)))) | (~less_3(bitIndex1)) | (v124(constB189, bitIndex1) <=> b101(bitIndex1))),
% 9.28/6.88 inference(modus_ponens,[status(thm)],[25358, 25357])).
% 9.28/6.88 tff(25360,plain,
% 9.28/6.88 (v124(constB189, bitIndex1) <=> b101(bitIndex1)),
% 9.28/6.88 inference(unit_resolution,[status(thm)],[25359, 9785, 25294])).
% 9.28/6.88 tff(25361,plain,
% 9.28/6.88 ((~(v124(constB189, bitIndex1) <=> b101(bitIndex1))) | (~v124(constB189, bitIndex1)) | b101(bitIndex1)),
% 9.28/6.88 inference(tautology,[status(thm)],[])).
% 9.28/6.88 tff(25362,plain,
% 9.28/6.88 ((~(v124(constB189, bitIndex1) <=> b101(bitIndex1))) | (~v124(constB189, bitIndex1))),
% 9.28/6.88 inference(unit_resolution,[status(thm)],[25361, 10757])).
% 9.28/6.88 tff(25363,plain,
% 9.28/6.88 (~v124(constB189, bitIndex1)),
% 9.28/6.88 inference(unit_resolution,[status(thm)],[25362, 25360])).
% 9.28/6.88 tff(25364,plain,
% 9.28/6.88 ((~(v121(constB189, bitIndex1) <=> v124(constB189, bitIndex1))) | (~v121(constB189, bitIndex1)) | v124(constB189, bitIndex1)),
% 9.28/6.88 inference(tautology,[status(thm)],[])).
% 9.28/6.88 tff(25365,plain,
% 9.28/6.88 (~v121(constB189, bitIndex1)),
% 9.28/6.88 inference(unit_resolution,[status(thm)],[25364, 25363, 25356])).
% 9.28/6.88 tff(25366,plain,
% 9.28/6.88 ((~(v123(constB190, bitIndex1) <=> v121(constB189, bitIndex1))) | (~v123(constB190, bitIndex1)) | v121(constB189, bitIndex1)),
% 9.28/6.88 inference(tautology,[status(thm)],[])).
% 9.28/6.88 tff(25367,plain,
% 9.28/6.88 (~v123(constB190, bitIndex1)),
% 9.28/6.88 inference(unit_resolution,[status(thm)],[25366, 25365, 25352])).
% 9.28/6.88 tff(25368,plain,
% 9.28/6.88 ((~(v84(constB190, bitIndex1) <=> v123(constB190, bitIndex1))) | (~v84(constB190, bitIndex1)) | v123(constB190, bitIndex1)),
% 9.28/6.88 inference(tautology,[status(thm)],[])).
% 9.28/6.88 tff(25369,plain,
% 9.28/6.88 (~v84(constB190, bitIndex1)),
% 9.28/6.88 inference(unit_resolution,[status(thm)],[25368, 25367, 25348])).
% 9.28/6.88 tff(25370,plain,
% 9.28/6.88 ((~(v84(constB191, bitIndex1) <=> v84(constB190, bitIndex1))) | (~v84(constB191, bitIndex1)) | v84(constB190, bitIndex1)),
% 9.28/6.88 inference(tautology,[status(thm)],[])).
% 9.28/6.88 tff(25371,plain,
% 9.28/6.88 (~v84(constB191, bitIndex1)),
% 9.28/6.88 inference(unit_resolution,[status(thm)],[25370, 25369, 25344])).
% 9.28/6.88 tff(25372,plain,
% 9.28/6.88 ((~((~v84(constB191, bitIndex2)) | v84(constB191, bitIndex1) | (~v84(constB191, bitIndex0)))) | (~v84(constB191, bitIndex2)) | v84(constB191, bitIndex1) | (~v84(constB191, bitIndex0))),
% 9.28/6.88 inference(tautology,[status(thm)],[])).
% 9.28/6.88 tff(25373,plain,
% 9.28/6.88 (~((~v84(constB191, bitIndex2)) | v84(constB191, bitIndex1) | (~v84(constB191, bitIndex0)))),
% 9.28/6.88 inference(unit_resolution,[status(thm)],[25372, 25371, 25340, 25309])).
% 9.28/6.88 tff(25374,plain,
% 9.28/6.88 ((~(v118(constB191) <=> (~((~v84(constB191, bitIndex2)) | v84(constB191, bitIndex1) | (~v84(constB191, bitIndex0)))))) | v118(constB191) | ((~v84(constB191, bitIndex2)) | v84(constB191, bitIndex1) | (~v84(constB191, bitIndex0)))),
% 9.28/6.88 inference(tautology,[status(thm)],[])).
% 9.28/6.88 tff(25375,plain,
% 9.28/6.88 (v118(constB191)),
% 9.28/6.88 inference(unit_resolution,[status(thm)],[25374, 25373, 967])).
% 9.28/6.88 tff(25376,plain,
% 9.28/6.88 ((v109(constB191) | v118(constB191)) | (~v118(constB191))),
% 9.28/6.88 inference(tautology,[status(thm)],[])).
% 9.28/6.88 tff(25377,plain,
% 9.28/6.88 (v109(constB191) | v118(constB191)),
% 9.28/6.88 inference(unit_resolution,[status(thm)],[25376, 25375])).
% 9.28/6.88 tff(25378,plain,
% 9.28/6.88 ((~(v108(constB191) <=> (v109(constB191) | v118(constB191)))) | v108(constB191) | (~(v109(constB191) | v118(constB191)))),
% 9.28/6.88 inference(tautology,[status(thm)],[])).
% 9.28/6.88 tff(25379,plain,
% 9.28/6.88 (v108(constB191)),
% 9.28/6.88 inference(unit_resolution,[status(thm)],[25378, 25377, 947])).
% 9.28/6.88 tff(25380,plain,
% 9.28/6.88 ((v108(constB191) | v119(constB191)) | (~v108(constB191))),
% 9.28/6.88 inference(tautology,[status(thm)],[])).
% 9.28/6.88 tff(25381,plain,
% 9.28/6.88 (v108(constB191) | v119(constB191)),
% 9.28/6.88 inference(unit_resolution,[status(thm)],[25380, 25379])).
% 9.28/6.88 tff(25382,plain,
% 9.28/6.88 ((~(v107(constB191) <=> (v108(constB191) | v119(constB191)))) | v107(constB191) | (~(v108(constB191) | v119(constB191)))),
% 9.28/6.88 inference(tautology,[status(thm)],[])).
% 9.28/6.88 tff(25383,plain,
% 9.28/6.88 (v107(constB191)),
% 9.28/6.88 inference(unit_resolution,[status(thm)],[25382, 25381, 938])).
% 9.28/6.88 tff(25384,plain,
% 9.28/6.88 ((~![VarCurr: $i] : ((~v120(VarCurr)) <=> v105(VarCurr))) | ((~v120(constB191)) <=> v105(constB191))),
% 9.28/6.88 inference(quant_inst,[status(thm)],[])).
% 9.28/6.88 tff(25385,plain,
% 9.28/6.88 ((~v120(constB191)) <=> v105(constB191)),
% 9.28/6.88 inference(unit_resolution,[status(thm)],[25384, 9842])).
% 9.28/6.88 tff(25386,plain,
% 9.28/6.88 ((~![VarCurr: $i] : (v105(VarCurr) <=> v26(VarCurr))) | (v105(constB191) <=> v26(constB191))),
% 9.28/6.88 inference(quant_inst,[status(thm)],[])).
% 9.28/6.88 tff(25387,plain,
% 9.28/6.88 (v105(constB191) <=> v26(constB191)),
% 9.28/6.88 inference(unit_resolution,[status(thm)],[25386, 9854])).
% 9.28/6.88 tff(25388,plain,
% 9.28/6.88 ((~![VarCurr: $i] : (~v26(VarCurr))) | (~v26(constB191))),
% 9.28/6.88 inference(quant_inst,[status(thm)],[])).
% 9.28/6.88 tff(25389,plain,
% 9.28/6.88 (~v26(constB191)),
% 9.28/6.88 inference(unit_resolution,[status(thm)],[25388, 9866])).
% 9.28/6.88 tff(25390,plain,
% 9.28/6.88 ((~(v105(constB191) <=> v26(constB191))) | (~v105(constB191)) | v26(constB191)),
% 9.28/6.88 inference(tautology,[status(thm)],[])).
% 9.28/6.88 tff(25391,plain,
% 9.28/6.88 ((~(v105(constB191) <=> v26(constB191))) | (~v105(constB191))),
% 9.28/6.88 inference(unit_resolution,[status(thm)],[25390, 25389])).
% 9.28/6.88 tff(25392,plain,
% 9.28/6.88 (~v105(constB191)),
% 9.28/6.88 inference(unit_resolution,[status(thm)],[25391, 25387])).
% 9.28/6.88 tff(25393,plain,
% 9.28/6.88 ((~((~v120(constB191)) <=> v105(constB191))) | v120(constB191) | v105(constB191)),
% 9.28/6.88 inference(tautology,[status(thm)],[])).
% 9.28/6.88 tff(25394,plain,
% 9.28/6.88 ((~((~v120(constB191)) <=> v105(constB191))) | v120(constB191)),
% 9.28/6.88 inference(unit_resolution,[status(thm)],[25393, 25392])).
% 9.28/6.88 tff(25395,plain,
% 9.28/6.88 (v120(constB191)),
% 9.28/6.88 inference(unit_resolution,[status(thm)],[25394, 25385])).
% 9.28/6.88 tff(25396,plain,
% 9.28/6.88 ((~((~v107(constB191)) | (~v120(constB191)))) | (~v107(constB191)) | (~v120(constB191))),
% 9.28/6.88 inference(tautology,[status(thm)],[])).
% 9.28/6.88 tff(25397,plain,
% 9.28/6.88 ((~((~v107(constB191)) | (~v120(constB191)))) | (~v107(constB191))),
% 9.28/6.88 inference(unit_resolution,[status(thm)],[25396, 25395])).
% 9.28/6.88 tff(25398,plain,
% 9.28/6.88 (~((~v107(constB191)) | (~v120(constB191)))),
% 9.28/6.88 inference(unit_resolution,[status(thm)],[25397, 25383])).
% 9.28/6.88 tff(25399,plain,
% 9.28/6.88 ((~(v106(constB191) <=> (~((~v107(constB191)) | (~v120(constB191)))))) | v106(constB191) | ((~v107(constB191)) | (~v120(constB191)))),
% 9.28/6.88 inference(tautology,[status(thm)],[])).
% 9.28/6.88 tff(25400,plain,
% 9.28/6.88 (v106(constB191)),
% 9.28/6.88 inference(unit_resolution,[status(thm)],[25399, 25398, 929])).
% 9.28/6.88 tff(25401,plain,
% 9.28/6.88 ((v105(constB191) | v106(constB191)) | (~v106(constB191))),
% 9.28/6.88 inference(tautology,[status(thm)],[])).
% 9.28/6.88 tff(25402,plain,
% 9.28/6.88 (v105(constB191) | v106(constB191)),
% 9.28/6.88 inference(unit_resolution,[status(thm)],[25401, 25400])).
% 9.28/6.88 tff(25403,plain,
% 9.28/6.88 ((~(v102(constB191) <=> (v105(constB191) | v106(constB191)))) | v102(constB191) | (~(v105(constB191) | v106(constB191)))),
% 9.28/6.88 inference(tautology,[status(thm)],[])).
% 9.28/6.88 tff(25404,plain,
% 9.28/6.88 (v102(constB191)),
% 9.28/6.88 inference(unit_resolution,[status(thm)],[25403, 25402, 917])).
% 9.28/6.88 tff(25405,plain,
% 9.28/6.88 ((~(v104(constB192) <=> v102(constB191))) | v104(constB192) | (~v102(constB191))),
% 9.28/6.88 inference(tautology,[status(thm)],[])).
% 9.28/6.88 tff(25406,plain,
% 9.28/6.88 (v104(constB192)),
% 9.28/6.88 inference(unit_resolution,[status(thm)],[25405, 25404, 908])).
% 9.28/6.88 tff(25407,plain,
% 9.28/6.88 ((~((~v104(constB192)) | (~v95(constB192)))) | (~v104(constB192)) | (~v95(constB192))),
% 9.28/6.88 inference(tautology,[status(thm)],[])).
% 9.28/6.88 tff(25408,plain,
% 9.28/6.88 (~((~v104(constB192)) | (~v95(constB192)))),
% 9.28/6.88 inference(unit_resolution,[status(thm)],[25407, 25406, 894])).
% 9.28/6.88 tff(25409,plain,
% 9.28/6.88 ((~(v94(constB192) <=> (~((~v104(constB192)) | (~v95(constB192)))))) | v94(constB192) | ((~v104(constB192)) | (~v95(constB192)))),
% 9.28/6.88 inference(tautology,[status(thm)],[])).
% 9.28/6.88 tff(25410,plain,
% 9.28/6.88 (v94(constB192)),
% 9.28/6.88 inference(unit_resolution,[status(thm)],[25409, 25408, 843])).
% 9.28/6.88 tff(25411,plain,
% 9.28/6.88 (((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB192)) | ![B: $i] : ((~less_3(B)) | (v84(constB192, B) <=> v123(constB192, B))))) <=> ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB192)) | ![B: $i] : ((~less_3(B)) | (v84(constB192, B) <=> v123(constB192, B))))),
% 9.28/6.88 inference(rewrite,[status(thm)],[])).
% 9.28/6.88 tff(25412,plain,
% 9.28/6.88 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | ((~v94(constB192)) | ![B: $i] : ((~less_3(B)) | (v84(constB192, B) <=> v123(constB192, B))))),
% 9.28/6.88 inference(quant_inst,[status(thm)],[])).
% 9.28/6.88 tff(25413,plain,
% 9.28/6.88 ((~![VarNext: $i] : ((~v94(VarNext)) | ![B: $i] : ((~less_3(B)) | (v84(VarNext, B) <=> v123(VarNext, B))))) | (~v94(constB192)) | ![B: $i] : ((~less_3(B)) | (v84(constB192, B) <=> v123(constB192, B)))),
% 9.28/6.88 inference(modus_ponens,[status(thm)],[25412, 25411])).
% 9.28/6.88 tff(25414,plain,
% 9.28/6.88 ((~v94(constB192)) | ![B: $i] : ((~less_3(B)) | (v84(constB192, B) <=> v123(constB192, B)))),
% 9.28/6.88 inference(unit_resolution,[status(thm)],[25413, 9902])).
% 9.28/6.88 tff(25415,plain,
% 9.28/6.88 (![B: $i] : ((~less_3(B)) | (v84(constB192, B) <=> v123(constB192, B)))),
% 9.28/6.88 inference(unit_resolution,[status(thm)],[25414, 25410])).
% 9.28/6.88 tff(25416,plain,
% 9.28/6.88 (((~![B: $i] : ((~less_3(B)) | (v84(constB192, B) <=> v123(constB192, B)))) | ((~less_3(bitIndex2)) | (v84(constB192, bitIndex2) <=> v123(constB192, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v84(constB192, B) <=> v123(constB192, B)))) | (~less_3(bitIndex2)) | (v84(constB192, bitIndex2) <=> v123(constB192, bitIndex2)))),
% 9.28/6.88 inference(rewrite,[status(thm)],[])).
% 9.28/6.88 tff(25417,plain,
% 9.28/6.88 ((~![B: $i] : ((~less_3(B)) | (v84(constB192, B) <=> v123(constB192, B)))) | ((~less_3(bitIndex2)) | (v84(constB192, bitIndex2) <=> v123(constB192, bitIndex2)))),
% 9.28/6.88 inference(quant_inst,[status(thm)],[])).
% 9.28/6.88 tff(25418,plain,
% 9.28/6.88 ((~![B: $i] : ((~less_3(B)) | (v84(constB192, B) <=> v123(constB192, B)))) | (~less_3(bitIndex2)) | (v84(constB192, bitIndex2) <=> v123(constB192, bitIndex2))),
% 9.28/6.88 inference(modus_ponens,[status(thm)],[25417, 25416])).
% 9.28/6.88 tff(25419,plain,
% 9.28/6.88 (v84(constB192, bitIndex2) <=> v123(constB192, bitIndex2)),
% 9.28/6.88 inference(unit_resolution,[status(thm)],[25418, 832, 25415])).
% 9.28/6.88 tff(25420,plain,
% 9.28/6.88 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB191, constB192)) | ![B: $i] : ((~less_3(B)) | (v123(constB192, B) <=> v121(constB191, B))))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB191, constB192)) | ![B: $i] : ((~less_3(B)) | (v123(constB192, B) <=> v121(constB191, B))))),
% 9.28/6.88 inference(rewrite,[status(thm)],[])).
% 9.28/6.88 tff(25421,plain,
% 9.28/6.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | ((~nextState(constB191, constB192)) | ![B: $i] : ((~less_3(B)) | (v123(constB192, B) <=> v121(constB191, B))))),
% 9.28/6.88 inference(quant_inst,[status(thm)],[])).
% 9.28/6.88 tff(25422,plain,
% 9.28/6.88 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | ![B: $i] : ((~less_3(B)) | (v123(VarNext, B) <=> v121(VarCurr, B))))) | (~nextState(constB191, constB192)) | ![B: $i] : ((~less_3(B)) | (v123(constB192, B) <=> v121(constB191, B)))),
% 9.28/6.88 inference(modus_ponens,[status(thm)],[25421, 25420])).
% 9.28/6.88 tff(25423,plain,
% 9.28/6.88 (![B: $i] : ((~less_3(B)) | (v123(constB192, B) <=> v121(constB191, B)))),
% 9.28/6.88 inference(unit_resolution,[status(thm)],[25422, 839, 9924])).
% 9.28/6.88 tff(25424,plain,
% 9.28/6.88 (((~![B: $i] : ((~less_3(B)) | (v123(constB192, B) <=> v121(constB191, B)))) | ((~less_3(bitIndex2)) | (v123(constB192, bitIndex2) <=> v121(constB191, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v123(constB192, B) <=> v121(constB191, B)))) | (~less_3(bitIndex2)) | (v123(constB192, bitIndex2) <=> v121(constB191, bitIndex2)))),
% 9.28/6.88 inference(rewrite,[status(thm)],[])).
% 9.28/6.88 tff(25425,plain,
% 9.28/6.88 ((~![B: $i] : ((~less_3(B)) | (v123(constB192, B) <=> v121(constB191, B)))) | ((~less_3(bitIndex2)) | (v123(constB192, bitIndex2) <=> v121(constB191, bitIndex2)))),
% 9.28/6.88 inference(quant_inst,[status(thm)],[])).
% 9.28/6.88 tff(25426,plain,
% 9.28/6.88 ((~![B: $i] : ((~less_3(B)) | (v123(constB192, B) <=> v121(constB191, B)))) | (~less_3(bitIndex2)) | (v123(constB192, bitIndex2) <=> v121(constB191, bitIndex2))),
% 9.28/6.88 inference(modus_ponens,[status(thm)],[25425, 25424])).
% 9.28/6.88 tff(25427,plain,
% 9.28/6.88 (v123(constB192, bitIndex2) <=> v121(constB191, bitIndex2)),
% 9.28/6.88 inference(unit_resolution,[status(thm)],[25426, 832, 25423])).
% 9.28/6.88 tff(25428,plain,
% 9.28/6.88 (((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB191) | ![B: $i] : ((~less_3(B)) | (v121(constB191, B) <=> v124(constB191, B))))) <=> ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB191) | ![B: $i] : ((~less_3(B)) | (v121(constB191, B) <=> v124(constB191, B))))),
% 9.28/6.88 inference(rewrite,[status(thm)],[])).
% 9.28/6.88 tff(25429,plain,
% 9.28/6.88 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | (v105(constB191) | ![B: $i] : ((~less_3(B)) | (v121(constB191, B) <=> v124(constB191, B))))),
% 9.28/6.88 inference(quant_inst,[status(thm)],[])).
% 9.28/6.88 tff(25430,plain,
% 9.28/6.88 ((~![VarCurr: $i] : (v105(VarCurr) | ![B: $i] : ((~less_3(B)) | (v121(VarCurr, B) <=> v124(VarCurr, B))))) | v105(constB191) | ![B: $i] : ((~less_3(B)) | (v121(constB191, B) <=> v124(constB191, B)))),
% 9.28/6.88 inference(modus_ponens,[status(thm)],[25429, 25428])).
% 9.28/6.88 tff(25431,plain,
% 9.28/6.88 (![B: $i] : ((~less_3(B)) | (v121(constB191, B) <=> v124(constB191, B)))),
% 9.28/6.88 inference(unit_resolution,[status(thm)],[25430, 9945, 25392])).
% 9.28/6.88 tff(25432,plain,
% 9.28/6.88 (((~![B: $i] : ((~less_3(B)) | (v121(constB191, B) <=> v124(constB191, B)))) | ((~less_3(bitIndex2)) | (v121(constB191, bitIndex2) <=> v124(constB191, bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v121(constB191, B) <=> v124(constB191, B)))) | (~less_3(bitIndex2)) | (v121(constB191, bitIndex2) <=> v124(constB191, bitIndex2)))),
% 9.28/6.88 inference(rewrite,[status(thm)],[])).
% 9.28/6.88 tff(25433,plain,
% 9.28/6.88 ((~![B: $i] : ((~less_3(B)) | (v121(constB191, B) <=> v124(constB191, B)))) | ((~less_3(bitIndex2)) | (v121(constB191, bitIndex2) <=> v124(constB191, bitIndex2)))),
% 9.28/6.88 inference(quant_inst,[status(thm)],[])).
% 9.28/6.88 tff(25434,plain,
% 9.28/6.88 ((~![B: $i] : ((~less_3(B)) | (v121(constB191, B) <=> v124(constB191, B)))) | (~less_3(bitIndex2)) | (v121(constB191, bitIndex2) <=> v124(constB191, bitIndex2))),
% 9.28/6.88 inference(modus_ponens,[status(thm)],[25433, 25432])).
% 9.28/6.88 tff(25435,plain,
% 9.28/6.88 (v121(constB191, bitIndex2) <=> v124(constB191, bitIndex2)),
% 9.28/6.88 inference(unit_resolution,[status(thm)],[25434, 832, 25431])).
% 9.28/6.88 tff(25436,plain,
% 9.28/6.88 (((~![VarCurr: $i] : ((~v118(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b110(B))))) | ((~v118(constB191)) | ![B: $i] : ((~less_3(B)) | (v124(constB191, B) <=> b110(B))))) <=> ((~![VarCurr: $i] : ((~v118(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b110(B))))) | (~v118(constB191)) | ![B: $i] : ((~less_3(B)) | (v124(constB191, B) <=> b110(B))))),
% 9.28/6.89 inference(rewrite,[status(thm)],[])).
% 9.28/6.89 tff(25437,plain,
% 9.28/6.89 ((~![VarCurr: $i] : ((~v118(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b110(B))))) | ((~v118(constB191)) | ![B: $i] : ((~less_3(B)) | (v124(constB191, B) <=> b110(B))))),
% 9.28/6.89 inference(quant_inst,[status(thm)],[])).
% 9.28/6.89 tff(25438,plain,
% 9.28/6.89 ((~![VarCurr: $i] : ((~v118(VarCurr)) | ![B: $i] : ((~less_3(B)) | (v124(VarCurr, B) <=> b110(B))))) | (~v118(constB191)) | ![B: $i] : ((~less_3(B)) | (v124(constB191, B) <=> b110(B)))),
% 9.28/6.89 inference(modus_ponens,[status(thm)],[25437, 25436])).
% 9.28/6.89 tff(25439,plain,
% 9.28/6.89 ((~v118(constB191)) | ![B: $i] : ((~less_3(B)) | (v124(constB191, B) <=> b110(B)))),
% 9.28/6.89 inference(unit_resolution,[status(thm)],[25438, 10845])).
% 9.28/6.89 tff(25440,plain,
% 9.28/6.89 (![B: $i] : ((~less_3(B)) | (v124(constB191, B) <=> b110(B)))),
% 9.28/6.89 inference(unit_resolution,[status(thm)],[25439, 25375])).
% 9.28/6.89 tff(25441,plain,
% 9.28/6.89 (((~![B: $i] : ((~less_3(B)) | (v124(constB191, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v124(constB191, bitIndex2) <=> b110(bitIndex2)))) <=> ((~![B: $i] : ((~less_3(B)) | (v124(constB191, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v124(constB191, bitIndex2) <=> b110(bitIndex2)))),
% 9.28/6.89 inference(rewrite,[status(thm)],[])).
% 9.28/6.89 tff(25442,plain,
% 9.28/6.89 ((~![B: $i] : ((~less_3(B)) | (v124(constB191, B) <=> b110(B)))) | ((~less_3(bitIndex2)) | (v124(constB191, bitIndex2) <=> b110(bitIndex2)))),
% 9.28/6.89 inference(quant_inst,[status(thm)],[])).
% 9.28/6.89 tff(25443,plain,
% 9.28/6.89 ((~![B: $i] : ((~less_3(B)) | (v124(constB191, B) <=> b110(B)))) | (~less_3(bitIndex2)) | (v124(constB191, bitIndex2) <=> b110(bitIndex2))),
% 9.28/6.89 inference(modus_ponens,[status(thm)],[25442, 25441])).
% 9.28/6.89 tff(25444,plain,
% 9.28/6.89 (v124(constB191, bitIndex2) <=> b110(bitIndex2)),
% 9.28/6.89 inference(unit_resolution,[status(thm)],[25443, 832, 25440])).
% 9.28/6.89 tff(25445,plain,
% 9.28/6.89 ((~(v124(constB191, bitIndex2) <=> b110(bitIndex2))) | v124(constB191, bitIndex2) | (~b110(bitIndex2))),
% 9.28/6.89 inference(tautology,[status(thm)],[])).
% 9.28/6.89 tff(25446,plain,
% 9.28/6.89 ((~(v124(constB191, bitIndex2) <=> b110(bitIndex2))) | v124(constB191, bitIndex2)),
% 9.28/6.89 inference(unit_resolution,[status(thm)],[25445, 10857])).
% 9.28/6.89 tff(25447,plain,
% 9.28/6.89 (v124(constB191, bitIndex2)),
% 9.28/6.89 inference(unit_resolution,[status(thm)],[25446, 25444])).
% 9.28/6.89 tff(25448,plain,
% 9.28/6.89 ((~(v121(constB191, bitIndex2) <=> v124(constB191, bitIndex2))) | v121(constB191, bitIndex2) | (~v124(constB191, bitIndex2))),
% 9.28/6.89 inference(tautology,[status(thm)],[])).
% 9.28/6.89 tff(25449,plain,
% 9.28/6.89 (v121(constB191, bitIndex2)),
% 9.28/6.89 inference(unit_resolution,[status(thm)],[25448, 25447, 25435])).
% 9.28/6.89 tff(25450,plain,
% 9.28/6.89 ((~(v123(constB192, bitIndex2) <=> v121(constB191, bitIndex2))) | v123(constB192, bitIndex2) | (~v121(constB191, bitIndex2))),
% 9.28/6.89 inference(tautology,[status(thm)],[])).
% 9.28/6.89 tff(25451,plain,
% 9.28/6.89 (v123(constB192, bitIndex2)),
% 9.28/6.89 inference(unit_resolution,[status(thm)],[25450, 25449, 25427])).
% 9.28/6.89 tff(25452,plain,
% 9.28/6.89 ((~(v84(constB192, bitIndex2) <=> v123(constB192, bitIndex2))) | v84(constB192, bitIndex2) | (~v123(constB192, bitIndex2))),
% 9.28/6.89 inference(tautology,[status(thm)],[])).
% 9.28/6.89 tff(25453,plain,
% 9.28/6.89 (v84(constB192, bitIndex2)),
% 9.28/6.89 inference(unit_resolution,[status(thm)],[25452, 25451, 25419])).
% 9.28/6.89 tff(25454,plain,
% 9.28/6.89 ((~(v84(constB193, bitIndex2) <=> v84(constB192, bitIndex2))) | v84(constB193, bitIndex2) | (~v84(constB192, bitIndex2))),
% 9.28/6.89 inference(tautology,[status(thm)],[])).
% 9.28/6.89 tff(25455,plain,
% 9.28/6.89 (v84(constB193, bitIndex2)),
% 9.28/6.89 inference(unit_resolution,[status(thm)],[25454, 25453, 836])).
% 9.28/6.89 tff(25456,plain,
% 9.28/6.89 ((v84(constB193, bitIndex2) | v84(constB193, bitIndex1) | (~v84(constB193, bitIndex0))) | (~v84(constB193, bitIndex2))),
% 9.28/6.89 inference(tautology,[status(thm)],[])).
% 9.28/6.89 tff(25457,plain,
% 9.28/6.89 (v84(constB193, bitIndex2) | v84(constB193, bitIndex1) | (~v84(constB193, bitIndex0))),
% 9.28/6.89 inference(unit_resolution,[status(thm)],[25456, 25455])).
% 9.28/6.89 tff(25458,plain,
% 9.28/6.89 ((~(v145(constB193) <=> (~(v84(constB193, bitIndex2) | v84(constB193, bitIndex1) | (~v84(constB193, bitIndex0)))))) | (~v145(constB193)) | (~(v84(constB193, bitIndex2) | v84(constB193, bitIndex1) | (~v84(constB193, bitIndex0))))),
% 9.28/6.89 inference(tautology,[status(thm)],[])).
% 9.28/6.89 tff(25459,plain,
% 9.28/6.89 (~v145(constB193)),
% 9.28/6.89 inference(unit_resolution,[status(thm)],[25458, 25457, 762])).
% 9.28/6.89 tff(25460,plain,
% 9.28/6.89 (((~v141(constB193)) | (~v145(constB193))) | v145(constB193)),
% 9.28/6.89 inference(tautology,[status(thm)],[])).
% 9.28/6.89 tff(25461,plain,
% 9.28/6.89 ((~v141(constB193)) | (~v145(constB193))),
% 9.28/6.89 inference(unit_resolution,[status(thm)],[25460, 25459])).
% 9.28/6.89 tff(25462,plain,
% 9.28/6.89 ((~(v144(constB193) <=> (~((~v141(constB193)) | (~v145(constB193)))))) | (~v144(constB193)) | (~((~v141(constB193)) | (~v145(constB193))))),
% 9.28/6.89 inference(tautology,[status(thm)],[])).
% 9.28/6.89 tff(25463,plain,
% 9.28/6.89 (~v144(constB193)),
% 9.28/6.89 inference(unit_resolution,[status(thm)],[25462, 25461, 742])).
% 9.28/6.89 tff(25464,plain,
% 9.28/6.89 (((~v143(constB193)) | (~v144(constB193))) | v144(constB193)),
% 9.28/6.89 inference(tautology,[status(thm)],[])).
% 9.28/6.89 tff(25465,plain,
% 9.28/6.89 ((~v143(constB193)) | (~v144(constB193))),
% 9.28/6.89 inference(unit_resolution,[status(thm)],[25464, 25463])).
% 9.28/6.89 tff(25466,plain,
% 9.28/6.89 ((~(v142(constB193) <=> (~((~v143(constB193)) | (~v144(constB193)))))) | (~v142(constB193)) | (~((~v143(constB193)) | (~v144(constB193))))),
% 9.28/6.89 inference(tautology,[status(thm)],[])).
% 9.28/6.89 tff(25467,plain,
% 9.28/6.89 (~v142(constB193)),
% 9.28/6.89 inference(unit_resolution,[status(thm)],[25466, 25465, 740])).
% 9.28/6.89 tff(25468,plain,
% 9.28/6.89 ((~(v138(constB193) | v142(constB193))) | v138(constB193) | v142(constB193)),
% 9.28/6.89 inference(tautology,[status(thm)],[])).
% 9.28/6.89 tff(25469,plain,
% 9.28/6.89 (~(v138(constB193) | v142(constB193))),
% 9.28/6.89 inference(unit_resolution,[status(thm)],[25468, 25467, 738])).
% 9.28/6.89 tff(25470,plain,
% 9.28/6.89 ((~(v135(constB193) <=> (v138(constB193) | v142(constB193)))) | (~v135(constB193)) | (v138(constB193) | v142(constB193))),
% 9.28/6.89 inference(tautology,[status(thm)],[])).
% 9.28/6.89 tff(25471,plain,
% 9.28/6.89 (~v135(constB193)),
% 9.28/6.89 inference(unit_resolution,[status(thm)],[25470, 25469, 662])).
% 9.28/6.89 tff(25472,plain,
% 9.28/6.89 ((~(v137(constB194) <=> v135(constB193))) | (~v137(constB194)) | v135(constB193)),
% 9.28/6.89 inference(tautology,[status(thm)],[])).
% 9.28/6.89 tff(25473,plain,
% 9.28/6.89 (~v137(constB194)),
% 9.28/6.89 inference(unit_resolution,[status(thm)],[25472, 25471, 660])).
% 9.28/6.89 tff(25474,plain,
% 9.28/6.89 ((~(v132(constB194) <=> v137(constB194))) | (~v132(constB194)) | v137(constB194)),
% 9.28/6.89 inference(tautology,[status(thm)],[])).
% 9.28/6.89 tff(25475,plain,
% 9.28/6.89 (~v132(constB194)),
% 9.28/6.89 inference(unit_resolution,[status(thm)],[25474, 25473, 653])).
% 9.28/6.89 tff(25476,plain,
% 9.28/6.89 (((~v132(constB194)) | (~v139(constB194))) | v132(constB194)),
% 9.28/6.89 inference(tautology,[status(thm)],[])).
% 9.28/6.89 tff(25477,plain,
% 9.28/6.89 ((~v132(constB194)) | (~v139(constB194))),
% 9.28/6.89 inference(unit_resolution,[status(thm)],[25476, 25475])).
% 9.28/6.89 tff(25478,plain,
% 9.28/6.89 ((~(v138(constB194) <=> (~((~v132(constB194)) | (~v139(constB194)))))) | (~v138(constB194)) | (~((~v132(constB194)) | (~v139(constB194))))),
% 9.28/6.89 inference(tautology,[status(thm)],[])).
% 9.28/6.89 tff(25479,plain,
% 9.28/6.89 (~v138(constB194)),
% 9.28/6.89 inference(unit_resolution,[status(thm)],[25478, 25477, 651])).
% 9.28/6.89 tff(25480,plain,
% 9.28/6.89 ((~(v138(constB194) | v142(constB194))) | v138(constB194) | v142(constB194)),
% 9.28/6.89 inference(tautology,[status(thm)],[])).
% 9.28/6.89 tff(25481,plain,
% 9.28/6.89 (~(v138(constB194) | v142(constB194))),
% 9.28/6.89 inference(unit_resolution,[status(thm)],[25480, 25479, 634])).
% 9.28/6.89 tff(25482,plain,
% 9.28/6.89 ((~(v135(constB194) <=> (v138(constB194) | v142(constB194)))) | (~v135(constB194)) | (v138(constB194) | v142(constB194))),
% 9.28/6.89 inference(tautology,[status(thm)],[])).
% 9.28/6.89 tff(25483,plain,
% 9.28/6.89 (~v135(constB194)),
% 9.28/6.89 inference(unit_resolution,[status(thm)],[25482, 25481, 586])).
% 9.28/6.89 tff(25484,plain,
% 9.28/6.89 ((~(v137(constB195) <=> v135(constB194))) | (~v137(constB195)) | v135(constB194)),
% 9.28/6.89 inference(tautology,[status(thm)],[])).
% 9.28/6.89 tff(25485,plain,
% 9.28/6.89 (~v137(constB195)),
% 9.28/6.89 inference(unit_resolution,[status(thm)],[25484, 25483, 577])).
% 9.28/6.89 tff(25486,plain,
% 9.28/6.89 ((~(v132(constB195) <=> v137(constB195))) | (~v132(constB195)) | v137(constB195)),
% 9.28/6.89 inference(tautology,[status(thm)],[])).
% 9.28/6.89 tff(25487,plain,
% 9.28/6.89 (~v132(constB195)),
% 9.28/6.89 inference(unit_resolution,[status(thm)],[25486, 25485, 560])).
% 9.28/6.89 tff(25488,plain,
% 9.28/6.89 (((~v132(constB195)) | (~v154(constB195))) | v132(constB195)),
% 9.28/6.89 inference(tautology,[status(thm)],[])).
% 9.28/6.89 tff(25489,plain,
% 9.28/6.89 ((~v132(constB195)) | (~v154(constB195))),
% 9.28/6.89 inference(unit_resolution,[status(thm)],[25488, 25487])).
% 9.28/6.89 tff(25490,plain,
% 9.28/6.89 ((~(v153(constB195) <=> (~((~v132(constB195)) | (~v154(constB195)))))) | (~v153(constB195)) | (~((~v132(constB195)) | (~v154(constB195))))),
% 9.28/6.89 inference(tautology,[status(thm)],[])).
% 9.28/6.89 tff(25491,plain,
% 9.28/6.89 (~v153(constB195)),
% 9.28/6.89 inference(unit_resolution,[status(thm)],[25490, 25489, 548])).
% 9.28/6.89 tff(25492,plain,
% 9.28/6.89 ((~(v153(constB195) | v155(constB195))) | v153(constB195) | v155(constB195)),
% 9.28/6.89 inference(tautology,[status(thm)],[])).
% 9.28/6.89 tff(25493,plain,
% 9.28/6.89 (~(v153(constB195) | v155(constB195))),
% 9.28/6.89 inference(unit_resolution,[status(thm)],[25492, 25491, 541])).
% 9.28/6.89 tff(25494,plain,
% 9.28/6.89 ((~(v150(constB195) <=> (v153(constB195) | v155(constB195)))) | (~v150(constB195)) | (v153(constB195) | v155(constB195))),
% 9.28/6.89 inference(tautology,[status(thm)],[])).
% 9.28/6.89 tff(25495,plain,
% 9.28/6.89 (~v150(constB195)),
% 9.28/6.89 inference(unit_resolution,[status(thm)],[25494, 25493, 465])).
% 9.28/6.89 tff(25496,plain,
% 9.28/6.89 ((~(v152(constB196) <=> v150(constB195))) | (~v152(constB196)) | v150(constB195)),
% 9.28/6.89 inference(tautology,[status(thm)],[])).
% 9.28/6.89 tff(25497,plain,
% 9.28/6.89 (~v152(constB196)),
% 9.28/6.89 inference(unit_resolution,[status(thm)],[25496, 25495, 463])).
% 9.28/6.89 tff(25498,plain,
% 9.28/6.89 ((~(v130(constB196) <=> v152(constB196))) | (~v130(constB196)) | v152(constB196)),
% 9.28/6.89 inference(tautology,[status(thm)],[])).
% 9.28/6.89 tff(25499,plain,
% 9.28/6.89 (~v130(constB196)),
% 9.28/6.89 inference(unit_resolution,[status(thm)],[25498, 25497, 456])).
% 9.28/6.89 tff(25500,plain,
% 9.28/6.89 (((~v130(constB196)) | (~v139(constB196))) | v130(constB196)),
% 9.28/6.89 inference(tautology,[status(thm)],[])).
% 9.38/6.89 tff(25501,plain,
% 9.38/6.89 ((~v130(constB196)) | (~v139(constB196))),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[25500, 25499])).
% 9.38/6.89 tff(25502,plain,
% 9.38/6.89 ((~(v155(constB196) <=> (~((~v130(constB196)) | (~v139(constB196)))))) | (~v155(constB196)) | (~((~v130(constB196)) | (~v139(constB196))))),
% 9.38/6.89 inference(tautology,[status(thm)],[])).
% 9.38/6.89 tff(25503,plain,
% 9.38/6.89 (~v155(constB196)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[25502, 25501, 454])).
% 9.38/6.89 tff(25504,plain,
% 9.38/6.89 ((~(v153(constB196) | v155(constB196))) | v153(constB196) | v155(constB196)),
% 9.38/6.89 inference(tautology,[status(thm)],[])).
% 9.38/6.89 tff(25505,plain,
% 9.38/6.89 (~(v153(constB196) | v155(constB196))),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[25504, 25503, 437])).
% 9.38/6.89 tff(25506,plain,
% 9.38/6.89 ((~(v150(constB196) <=> (v153(constB196) | v155(constB196)))) | (~v150(constB196)) | (v153(constB196) | v155(constB196))),
% 9.38/6.89 inference(tautology,[status(thm)],[])).
% 9.38/6.89 tff(25507,plain,
% 9.38/6.89 (~v150(constB196)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[25506, 25505, 389])).
% 9.38/6.89 tff(25508,plain,
% 9.38/6.89 ((~(v152(constB197) <=> v150(constB196))) | (~v152(constB197)) | v150(constB196)),
% 9.38/6.89 inference(tautology,[status(thm)],[])).
% 9.38/6.89 tff(25509,plain,
% 9.38/6.89 (~v152(constB197)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[25508, 25507, 380])).
% 9.38/6.89 tff(25510,plain,
% 9.38/6.89 ((~(v130(constB197) <=> v152(constB197))) | (~v130(constB197)) | v152(constB197)),
% 9.38/6.89 inference(tautology,[status(thm)],[])).
% 9.38/6.89 tff(25511,plain,
% 9.38/6.89 (~v130(constB197)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[25510, 25509, 363])).
% 9.38/6.89 tff(25512,plain,
% 9.38/6.89 (((~v130(constB197)) | (~v154(constB197))) | v130(constB197)),
% 9.38/6.89 inference(tautology,[status(thm)],[])).
% 9.38/6.89 tff(25513,plain,
% 9.38/6.89 ((~v130(constB197)) | (~v154(constB197))),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[25512, 25511])).
% 9.38/6.89 tff(25514,plain,
% 9.38/6.89 ((~(v164(constB197) <=> (~((~v130(constB197)) | (~v154(constB197)))))) | (~v164(constB197)) | (~((~v130(constB197)) | (~v154(constB197))))),
% 9.38/6.89 inference(tautology,[status(thm)],[])).
% 9.38/6.89 tff(25515,plain,
% 9.38/6.89 (~v164(constB197)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[25514, 25513, 351])).
% 9.38/6.89 tff(25516,plain,
% 9.38/6.89 ((~(v163(constB197) | v164(constB197))) | v163(constB197) | v164(constB197)),
% 9.38/6.89 inference(tautology,[status(thm)],[])).
% 9.38/6.89 tff(25517,plain,
% 9.38/6.89 (~(v163(constB197) | v164(constB197))),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[25516, 25515, 344])).
% 9.38/6.89 tff(25518,plain,
% 9.38/6.89 ((~(v160(constB197) <=> (v163(constB197) | v164(constB197)))) | (~v160(constB197)) | (v163(constB197) | v164(constB197))),
% 9.38/6.89 inference(tautology,[status(thm)],[])).
% 9.38/6.89 tff(25519,plain,
% 9.38/6.89 (~v160(constB197)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[25518, 25517, 189])).
% 9.38/6.89 tff(25520,plain,
% 9.38/6.89 ((~(v162(constB198) <=> v160(constB197))) | (~v162(constB198)) | v160(constB197)),
% 9.38/6.89 inference(tautology,[status(thm)],[])).
% 9.38/6.89 tff(25521,plain,
% 9.38/6.89 (~v162(constB198)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[25520, 25519, 187])).
% 9.38/6.89 tff(25522,plain,
% 9.38/6.89 ((~(v128(constB198) <=> v162(constB198))) | (~v128(constB198)) | v162(constB198)),
% 9.38/6.89 inference(tautology,[status(thm)],[])).
% 9.38/6.89 tff(25523,plain,
% 9.38/6.89 (~v128(constB198)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[25522, 25521, 180])).
% 9.38/6.89 tff(25524,plain,
% 9.38/6.89 (((~v128(constB198)) | (~v139(constB198))) | v128(constB198)),
% 9.38/6.89 inference(tautology,[status(thm)],[])).
% 9.38/6.89 tff(25525,plain,
% 9.38/6.89 ((~v128(constB198)) | (~v139(constB198))),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[25524, 25523])).
% 9.38/6.89 tff(25526,plain,
% 9.38/6.89 ((~(v163(constB198) <=> (~((~v128(constB198)) | (~v139(constB198)))))) | (~v163(constB198)) | (~((~v128(constB198)) | (~v139(constB198))))),
% 9.38/6.89 inference(tautology,[status(thm)],[])).
% 9.38/6.89 tff(25527,plain,
% 9.38/6.89 (~v163(constB198)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[25526, 25525, 178])).
% 9.38/6.89 tff(25528,plain,
% 9.38/6.89 ((~(v163(constB198) | v164(constB198))) | v163(constB198) | v164(constB198)),
% 9.38/6.89 inference(tautology,[status(thm)],[])).
% 9.38/6.89 tff(25529,plain,
% 9.38/6.89 (~(v163(constB198) | v164(constB198))),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[25528, 25527, 161])).
% 9.38/6.89 tff(25530,plain,
% 9.38/6.89 ((~(v160(constB198) <=> (v163(constB198) | v164(constB198)))) | (~v160(constB198)) | (v163(constB198) | v164(constB198))),
% 9.38/6.89 inference(tautology,[status(thm)],[])).
% 9.38/6.89 tff(25531,plain,
% 9.38/6.89 (~v160(constB198)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[25530, 25529, 86])).
% 9.38/6.89 tff(25532,plain,
% 9.38/6.89 ((~(v162(constB199) <=> v160(constB198))) | (~v162(constB199)) | v160(constB198)),
% 9.38/6.89 inference(tautology,[status(thm)],[])).
% 9.38/6.89 tff(25533,plain,
% 9.38/6.89 (~v162(constB199)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[25532, 25531, 77])).
% 9.38/6.89 tff(25534,plain,
% 9.38/6.89 ($false),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[25533, 60])).
% 9.38/6.89 tff(25535,plain,(~(constB199 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.38/6.89 tff(25536,assumption,(constB169 = VarCurr!0), introduced(assumption)).
% 9.38/6.89 tff(25537,plain,
% 9.38/6.89 (v162(constB169) <=> v162(VarCurr!0)),
% 9.38/6.89 inference(monotonicity,[status(thm)],[25536])).
% 9.38/6.89 tff(25538,plain,
% 9.38/6.89 (v162(VarCurr!0) <=> v162(constB169)),
% 9.38/6.89 inference(symmetry,[status(thm)],[25537])).
% 9.38/6.89 tff(25539,plain,
% 9.38/6.89 (v162(constB169)),
% 9.38/6.89 inference(modus_ponens,[status(thm)],[59, 25538])).
% 9.38/6.89 tff(25540,plain,
% 9.38/6.89 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB168, constB169)) | (v162(constB169) <=> v160(constB168)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB168, constB169)) | (v162(constB169) <=> v160(constB168)))),
% 9.38/6.89 inference(rewrite,[status(thm)],[])).
% 9.38/6.89 tff(25541,plain,
% 9.38/6.89 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB168, constB169)) | (v162(constB169) <=> v160(constB168)))),
% 9.38/6.89 inference(quant_inst,[status(thm)],[])).
% 9.38/6.89 tff(25542,plain,
% 9.38/6.89 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB168, constB169)) | (v162(constB169) <=> v160(constB168))),
% 9.38/6.89 inference(modus_ponens,[status(thm)],[25541, 25540])).
% 9.38/6.89 tff(25543,plain,
% 9.38/6.89 (v162(constB169) <=> v160(constB168)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[25542, 2068, 70])).
% 9.38/6.89 tff(25544,plain,
% 9.38/6.89 ((~![VarCurr: $i] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB168) <=> (v163(constB168) | v164(constB168)))),
% 9.38/6.89 inference(quant_inst,[status(thm)],[])).
% 9.38/6.89 tff(25545,plain,
% 9.38/6.89 (v160(constB168) <=> (v163(constB168) | v164(constB168))),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[25544, 84])).
% 9.38/6.89 tff(25546,plain,
% 9.38/6.89 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB168) <=> (~((~v130(constB168)) | (~v154(constB168)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB168) <=> (~((~v130(constB168)) | (~v154(constB168))))))),
% 9.38/6.89 inference(rewrite,[status(thm)],[])).
% 9.38/6.89 tff(25547,plain,
% 9.38/6.89 ((v164(constB168) <=> (~((~v154(constB168)) | (~v130(constB168))))) <=> (v164(constB168) <=> (~((~v130(constB168)) | (~v154(constB168)))))),
% 9.38/6.89 inference(rewrite,[status(thm)],[])).
% 9.38/6.89 tff(25548,plain,
% 9.38/6.89 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB168) <=> (~((~v154(constB168)) | (~v130(constB168)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB168) <=> (~((~v130(constB168)) | (~v154(constB168))))))),
% 9.38/6.89 inference(monotonicity,[status(thm)],[25547])).
% 9.38/6.89 tff(25549,plain,
% 9.38/6.89 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB168) <=> (~((~v154(constB168)) | (~v130(constB168)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB168) <=> (~((~v130(constB168)) | (~v154(constB168))))))),
% 9.38/6.89 inference(transitivity,[status(thm)],[25548, 25546])).
% 9.38/6.89 tff(25550,plain,
% 9.38/6.89 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB168) <=> (~((~v154(constB168)) | (~v130(constB168)))))),
% 9.38/6.89 inference(quant_inst,[status(thm)],[])).
% 9.38/6.89 tff(25551,plain,
% 9.38/6.89 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB168) <=> (~((~v130(constB168)) | (~v154(constB168)))))),
% 9.38/6.89 inference(modus_ponens,[status(thm)],[25550, 25549])).
% 9.38/6.89 tff(25552,plain,
% 9.38/6.89 (v164(constB168) <=> (~((~v130(constB168)) | (~v154(constB168))))),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[25551, 96])).
% 9.38/6.89 tff(25553,plain,
% 9.38/6.89 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB168) <=> (~((~v141(constB168)) | (~v143(constB168)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB168) <=> (~((~v141(constB168)) | (~v143(constB168))))))),
% 9.38/6.89 inference(rewrite,[status(thm)],[])).
% 9.38/6.89 tff(25554,plain,
% 9.38/6.89 ((v154(constB168) <=> (~((~v143(constB168)) | (~v141(constB168))))) <=> (v154(constB168) <=> (~((~v141(constB168)) | (~v143(constB168)))))),
% 9.38/6.89 inference(rewrite,[status(thm)],[])).
% 9.38/6.89 tff(25555,plain,
% 9.38/6.89 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB168) <=> (~((~v143(constB168)) | (~v141(constB168)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB168) <=> (~((~v141(constB168)) | (~v143(constB168))))))),
% 9.38/6.89 inference(monotonicity,[status(thm)],[25554])).
% 9.38/6.89 tff(25556,plain,
% 9.38/6.89 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB168) <=> (~((~v143(constB168)) | (~v141(constB168)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB168) <=> (~((~v141(constB168)) | (~v143(constB168))))))),
% 9.38/6.89 inference(transitivity,[status(thm)],[25555, 25553])).
% 9.38/6.89 tff(25557,plain,
% 9.38/6.89 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB168) <=> (~((~v143(constB168)) | (~v141(constB168)))))),
% 9.38/6.89 inference(quant_inst,[status(thm)],[])).
% 9.38/6.89 tff(25558,plain,
% 9.38/6.89 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB168) <=> (~((~v141(constB168)) | (~v143(constB168)))))),
% 9.38/6.89 inference(modus_ponens,[status(thm)],[25557, 25556])).
% 9.38/6.89 tff(25559,plain,
% 9.38/6.89 (v154(constB168) <=> (~((~v141(constB168)) | (~v143(constB168))))),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[25558, 113])).
% 9.38/6.89 tff(25560,plain,
% 9.38/6.89 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB168) <=> (~((~v39(constB168)) | (~v9(constB168)))))),
% 9.38/6.89 inference(quant_inst,[status(thm)],[])).
% 9.38/6.89 tff(25561,plain,
% 9.38/6.89 (v141(constB168) <=> (~((~v39(constB168)) | (~v9(constB168))))),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[25560, 130])).
% 9.38/6.89 tff(25562,plain,
% 9.38/6.89 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB168)) <=> v1(constB168))),
% 9.38/6.89 inference(quant_inst,[status(thm)],[])).
% 9.38/6.89 tff(25563,plain,
% 9.38/6.89 ((~v39(constB168)) <=> v1(constB168)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[25562, 139])).
% 9.38/6.89 tff(25564,plain,
% 9.38/6.89 ((~((~v39(constB168)) <=> v1(constB168))) | (~v39(constB168)) | (~v1(constB168))),
% 9.38/6.89 inference(tautology,[status(thm)],[])).
% 9.38/6.89 tff(25565,plain,
% 9.38/6.89 ((~((~v39(constB168)) <=> v1(constB168))) | (~v39(constB168))),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[25564, 2130])).
% 9.38/6.89 tff(25566,plain,
% 9.38/6.89 (~v39(constB168)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[25565, 25563])).
% 9.38/6.89 tff(25567,plain,
% 9.38/6.89 (((~v39(constB168)) | (~v9(constB168))) | v39(constB168)),
% 9.38/6.89 inference(tautology,[status(thm)],[])).
% 9.38/6.89 tff(25568,plain,
% 9.38/6.89 ((~v39(constB168)) | (~v9(constB168))),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[25567, 25566])).
% 9.38/6.89 tff(25569,plain,
% 9.38/6.89 ((~(v141(constB168) <=> (~((~v39(constB168)) | (~v9(constB168)))))) | (~v141(constB168)) | (~((~v39(constB168)) | (~v9(constB168))))),
% 9.38/6.89 inference(tautology,[status(thm)],[])).
% 9.38/6.89 tff(25570,plain,
% 9.38/6.89 ((~(v141(constB168) <=> (~((~v39(constB168)) | (~v9(constB168)))))) | (~v141(constB168))),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[25569, 25568])).
% 9.38/6.89 tff(25571,plain,
% 9.38/6.89 (~v141(constB168)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[25570, 25561])).
% 9.38/6.89 tff(25572,plain,
% 9.38/6.89 (((~v141(constB168)) | (~v143(constB168))) | v141(constB168)),
% 9.38/6.89 inference(tautology,[status(thm)],[])).
% 9.38/6.89 tff(25573,plain,
% 9.38/6.89 ((~v141(constB168)) | (~v143(constB168))),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[25572, 25571])).
% 9.38/6.89 tff(25574,plain,
% 9.38/6.89 ((~(v154(constB168) <=> (~((~v141(constB168)) | (~v143(constB168)))))) | (~v154(constB168)) | (~((~v141(constB168)) | (~v143(constB168))))),
% 9.38/6.89 inference(tautology,[status(thm)],[])).
% 9.38/6.89 tff(25575,plain,
% 9.38/6.89 ((~(v154(constB168) <=> (~((~v141(constB168)) | (~v143(constB168)))))) | (~v154(constB168))),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[25574, 25573])).
% 9.38/6.89 tff(25576,plain,
% 9.38/6.89 (~v154(constB168)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[25575, 25559])).
% 9.38/6.89 tff(25577,plain,
% 9.38/6.89 (((~v130(constB168)) | (~v154(constB168))) | v154(constB168)),
% 9.38/6.89 inference(tautology,[status(thm)],[])).
% 9.38/6.89 tff(25578,plain,
% 9.38/6.89 ((~v130(constB168)) | (~v154(constB168))),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[25577, 25576])).
% 9.38/6.89 tff(25579,plain,
% 9.38/6.89 ((~(v164(constB168) <=> (~((~v130(constB168)) | (~v154(constB168)))))) | (~v164(constB168)) | (~((~v130(constB168)) | (~v154(constB168))))),
% 9.38/6.89 inference(tautology,[status(thm)],[])).
% 9.38/6.89 tff(25580,plain,
% 9.38/6.89 (~v164(constB168)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[25579, 25578, 25552])).
% 9.38/6.89 tff(25581,plain,
% 9.38/6.89 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB168) <=> (~((~v128(constB168)) | (~v139(constB168)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB168) <=> (~((~v128(constB168)) | (~v139(constB168))))))),
% 9.38/6.89 inference(rewrite,[status(thm)],[])).
% 9.38/6.89 tff(25582,plain,
% 9.38/6.89 ((v163(constB168) <=> (~((~v139(constB168)) | (~v128(constB168))))) <=> (v163(constB168) <=> (~((~v128(constB168)) | (~v139(constB168)))))),
% 9.38/6.89 inference(rewrite,[status(thm)],[])).
% 9.38/6.89 tff(25583,plain,
% 9.38/6.89 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB168) <=> (~((~v139(constB168)) | (~v128(constB168)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB168) <=> (~((~v128(constB168)) | (~v139(constB168))))))),
% 9.38/6.89 inference(monotonicity,[status(thm)],[25582])).
% 9.38/6.89 tff(25584,plain,
% 9.38/6.89 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB168) <=> (~((~v139(constB168)) | (~v128(constB168)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB168) <=> (~((~v128(constB168)) | (~v139(constB168))))))),
% 9.38/6.89 inference(transitivity,[status(thm)],[25583, 25581])).
% 9.38/6.89 tff(25585,plain,
% 9.38/6.89 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB168) <=> (~((~v139(constB168)) | (~v128(constB168)))))),
% 9.38/6.89 inference(quant_inst,[status(thm)],[])).
% 9.38/6.89 tff(25586,plain,
% 9.38/6.89 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB168) <=> (~((~v128(constB168)) | (~v139(constB168)))))),
% 9.38/6.89 inference(modus_ponens,[status(thm)],[25585, 25584])).
% 9.38/6.89 tff(25587,plain,
% 9.38/6.89 (v163(constB168) <=> (~((~v128(constB168)) | (~v139(constB168))))),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[25586, 171])).
% 9.38/6.89 tff(25588,plain,
% 9.38/6.89 ((~![VarNext: $i] : (v128(VarNext) <=> v162(VarNext))) | (v128(constB168) <=> v162(constB168))),
% 9.38/6.89 inference(quant_inst,[status(thm)],[])).
% 9.38/6.89 tff(25589,plain,
% 9.38/6.89 (v128(constB168) <=> v162(constB168)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[25588, 13])).
% 9.38/6.89 tff(25590,plain,
% 9.38/6.89 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB167, constB168)) | (v162(constB168) <=> v160(constB167)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB167, constB168)) | (v162(constB168) <=> v160(constB167)))),
% 9.38/6.89 inference(rewrite,[status(thm)],[])).
% 9.38/6.89 tff(25591,plain,
% 9.38/6.89 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB167, constB168)) | (v162(constB168) <=> v160(constB167)))),
% 9.38/6.89 inference(quant_inst,[status(thm)],[])).
% 9.38/6.89 tff(25592,plain,
% 9.38/6.89 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB167, constB168)) | (v162(constB168) <=> v160(constB167))),
% 9.38/6.89 inference(modus_ponens,[status(thm)],[25591, 25590])).
% 9.38/6.89 tff(25593,plain,
% 9.38/6.89 (v162(constB168) <=> v160(constB167)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[25592, 2100, 70])).
% 9.38/6.89 tff(25594,plain,
% 9.38/6.89 ((~![VarCurr: $i] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB167) <=> (v163(constB167) | v164(constB167)))),
% 9.38/6.89 inference(quant_inst,[status(thm)],[])).
% 9.38/6.89 tff(25595,plain,
% 9.38/6.89 (v160(constB167) <=> (v163(constB167) | v164(constB167))),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[25594, 84])).
% 9.38/6.89 tff(25596,plain,
% 9.38/6.89 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB167) <=> (~((~v128(constB167)) | (~v139(constB167)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB167) <=> (~((~v128(constB167)) | (~v139(constB167))))))),
% 9.38/6.89 inference(rewrite,[status(thm)],[])).
% 9.38/6.89 tff(25597,plain,
% 9.38/6.89 ((v163(constB167) <=> (~((~v139(constB167)) | (~v128(constB167))))) <=> (v163(constB167) <=> (~((~v128(constB167)) | (~v139(constB167)))))),
% 9.38/6.89 inference(rewrite,[status(thm)],[])).
% 9.38/6.89 tff(25598,plain,
% 9.38/6.89 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB167) <=> (~((~v139(constB167)) | (~v128(constB167)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB167) <=> (~((~v128(constB167)) | (~v139(constB167))))))),
% 9.38/6.89 inference(monotonicity,[status(thm)],[25597])).
% 9.38/6.89 tff(25599,plain,
% 9.38/6.89 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB167) <=> (~((~v139(constB167)) | (~v128(constB167)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB167) <=> (~((~v128(constB167)) | (~v139(constB167))))))),
% 9.38/6.89 inference(transitivity,[status(thm)],[25598, 25596])).
% 9.38/6.89 tff(25600,plain,
% 9.38/6.89 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB167) <=> (~((~v139(constB167)) | (~v128(constB167)))))),
% 9.38/6.89 inference(quant_inst,[status(thm)],[])).
% 9.38/6.89 tff(25601,plain,
% 9.38/6.89 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB167) <=> (~((~v128(constB167)) | (~v139(constB167)))))),
% 9.38/6.89 inference(modus_ponens,[status(thm)],[25600, 25599])).
% 9.38/6.89 tff(25602,plain,
% 9.38/6.89 (v163(constB167) <=> (~((~v128(constB167)) | (~v139(constB167))))),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[25601, 171])).
% 9.38/6.89 tff(25603,plain,
% 9.38/6.89 ((~![VarCurr: $i] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB167)) <=> v140(constB167))),
% 9.38/6.89 inference(quant_inst,[status(thm)],[])).
% 9.38/6.89 tff(25604,plain,
% 9.38/6.89 ((~v139(constB167)) <=> v140(constB167)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[25603, 203])).
% 9.38/6.89 tff(25605,plain,
% 9.38/6.89 ((~![VarCurr: $i] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB167) <=> (v141(constB167) | v26(constB167)))),
% 9.38/6.89 inference(quant_inst,[status(thm)],[])).
% 9.38/6.89 tff(25606,plain,
% 9.38/6.89 (v140(constB167) <=> (v141(constB167) | v26(constB167))),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[25605, 212])).
% 9.38/6.89 tff(25607,plain,
% 9.38/6.89 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB167) <=> (~((~v39(constB167)) | (~v9(constB167)))))),
% 9.38/6.89 inference(quant_inst,[status(thm)],[])).
% 9.38/6.89 tff(25608,plain,
% 9.38/6.89 (v141(constB167) <=> (~((~v39(constB167)) | (~v9(constB167))))),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[25607, 130])).
% 9.38/6.89 tff(25609,plain,
% 9.38/6.89 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB167, constB168)) | (v13(constB168) <=> v9(constB167)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB167, constB168)) | (v13(constB168) <=> v9(constB167)))),
% 9.38/6.89 inference(rewrite,[status(thm)],[])).
% 9.38/6.89 tff(25610,plain,
% 9.38/6.89 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB167, constB168)) | (v13(constB168) <=> v9(constB167)))),
% 9.38/6.89 inference(quant_inst,[status(thm)],[])).
% 9.38/6.89 tff(25611,plain,
% 9.38/6.89 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB167, constB168)) | (v13(constB168) <=> v9(constB167))),
% 9.38/6.89 inference(modus_ponens,[status(thm)],[25610, 25609])).
% 9.38/6.89 tff(25612,plain,
% 9.38/6.89 (v13(constB168) <=> v9(constB167)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[25611, 2100, 226])).
% 9.38/6.89 tff(25613,plain,
% 9.38/6.89 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB168) <=> v13(constB168))),
% 9.38/6.89 inference(quant_inst,[status(thm)],[])).
% 9.38/6.89 tff(25614,plain,
% 9.38/6.89 (v6(constB168) <=> v13(constB168)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[25613, 240])).
% 9.38/6.89 tff(25615,plain,
% 9.38/6.89 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB168)) <=> v6(constB168))),
% 9.38/6.89 inference(quant_inst,[status(thm)],[])).
% 9.38/6.89 tff(25616,plain,
% 9.38/6.89 ((~v21(constB168)) <=> v6(constB168)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[25615, 249])).
% 9.38/6.89 tff(25617,plain,
% 9.38/6.89 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB168) <=> (v20(constB168) | v21(constB168)))),
% 9.38/6.89 inference(quant_inst,[status(thm)],[])).
% 9.38/6.89 tff(25618,plain,
% 9.38/6.89 (v19(constB168) <=> (v20(constB168) | v21(constB168))),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[25617, 258])).
% 9.38/6.89 tff(25619,plain,
% 9.38/6.89 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB168) <=> (~((~v19(constB168)) | (~v22(constB168)))))),
% 9.38/6.89 inference(quant_inst,[status(thm)],[])).
% 9.38/6.89 tff(25620,plain,
% 9.38/6.89 (v18(constB168) <=> (~((~v19(constB168)) | (~v22(constB168))))),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[25619, 270])).
% 9.38/6.89 tff(25621,plain,
% 9.38/6.89 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB168)) <=> v18(constB168))),
% 9.38/6.89 inference(quant_inst,[status(thm)],[])).
% 9.38/6.89 tff(25622,plain,
% 9.38/6.89 ((~v4(constB168)) <=> v18(constB168)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[25621, 279])).
% 9.38/6.89 tff(25623,plain,
% 9.38/6.89 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB168)),
% 9.38/6.89 inference(quant_inst,[status(thm)],[])).
% 9.38/6.89 tff(25624,plain,
% 9.38/6.89 (v4(constB168)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[25623, 288])).
% 9.38/6.89 tff(25625,plain,
% 9.38/6.89 ((~((~v4(constB168)) <=> v18(constB168))) | (~v4(constB168)) | (~v18(constB168))),
% 9.38/6.89 inference(tautology,[status(thm)],[])).
% 9.38/6.89 tff(25626,plain,
% 9.38/6.89 (~v18(constB168)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[25625, 25624, 25622])).
% 9.38/6.89 tff(25627,plain,
% 9.38/6.89 ((~(v18(constB168) <=> (~((~v19(constB168)) | (~v22(constB168)))))) | v18(constB168) | ((~v19(constB168)) | (~v22(constB168)))),
% 9.38/6.89 inference(tautology,[status(thm)],[])).
% 9.38/6.89 tff(25628,plain,
% 9.38/6.89 ((~v19(constB168)) | (~v22(constB168))),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[25627, 25626, 25620])).
% 9.38/6.89 tff(25629,plain,
% 9.38/6.89 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB168) <=> (v1(constB168) | v6(constB168)))),
% 9.38/6.89 inference(quant_inst,[status(thm)],[])).
% 9.38/6.89 tff(25630,plain,
% 9.38/6.89 (v22(constB168) <=> (v1(constB168) | v6(constB168))),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[25629, 301])).
% 9.38/6.89 tff(25631,plain,
% 9.38/6.89 ((v1(constB168) | v6(constB168)) | (~v1(constB168))),
% 9.38/6.89 inference(tautology,[status(thm)],[])).
% 9.38/6.89 tff(25632,plain,
% 9.38/6.89 (v1(constB168) | v6(constB168)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[25631, 2130])).
% 9.38/6.89 tff(25633,plain,
% 9.38/6.89 ((~(v22(constB168) <=> (v1(constB168) | v6(constB168)))) | v22(constB168) | (~(v1(constB168) | v6(constB168)))),
% 9.38/6.89 inference(tautology,[status(thm)],[])).
% 9.38/6.89 tff(25634,plain,
% 9.38/6.89 ((~(v22(constB168) <=> (v1(constB168) | v6(constB168)))) | v22(constB168)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[25633, 25632])).
% 9.38/6.89 tff(25635,plain,
% 9.38/6.89 (v22(constB168)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[25634, 25630])).
% 9.38/6.89 tff(25636,plain,
% 9.38/6.89 ((~((~v19(constB168)) | (~v22(constB168)))) | (~v19(constB168)) | (~v22(constB168))),
% 9.38/6.89 inference(tautology,[status(thm)],[])).
% 9.38/6.89 tff(25637,plain,
% 9.38/6.89 ((~((~v19(constB168)) | (~v22(constB168)))) | (~v19(constB168))),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[25636, 25635])).
% 9.38/6.89 tff(25638,plain,
% 9.38/6.89 (~v19(constB168)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[25637, 25628])).
% 9.38/6.89 tff(25639,plain,
% 9.38/6.89 ((~(v19(constB168) <=> (v20(constB168) | v21(constB168)))) | v19(constB168) | (~(v20(constB168) | v21(constB168)))),
% 9.38/6.89 inference(tautology,[status(thm)],[])).
% 9.38/6.89 tff(25640,plain,
% 9.38/6.89 (~(v20(constB168) | v21(constB168))),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[25639, 25638, 25618])).
% 9.38/6.89 tff(25641,plain,
% 9.38/6.89 ((v20(constB168) | v21(constB168)) | (~v21(constB168))),
% 9.38/6.89 inference(tautology,[status(thm)],[])).
% 9.38/6.89 tff(25642,plain,
% 9.38/6.89 (~v21(constB168)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[25641, 25640])).
% 9.38/6.89 tff(25643,plain,
% 9.38/6.89 ((~((~v21(constB168)) <=> v6(constB168))) | v21(constB168) | v6(constB168)),
% 9.38/6.89 inference(tautology,[status(thm)],[])).
% 9.38/6.89 tff(25644,plain,
% 9.38/6.89 (v6(constB168)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[25643, 25642, 25616])).
% 9.38/6.89 tff(25645,plain,
% 9.38/6.89 ((~(v6(constB168) <=> v13(constB168))) | (~v6(constB168)) | v13(constB168)),
% 9.38/6.89 inference(tautology,[status(thm)],[])).
% 9.38/6.89 tff(25646,plain,
% 9.38/6.89 (v13(constB168)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[25645, 25644, 25614])).
% 9.38/6.89 tff(25647,plain,
% 9.38/6.89 ((~(v13(constB168) <=> v9(constB167))) | (~v13(constB168)) | v9(constB167)),
% 9.38/6.89 inference(tautology,[status(thm)],[])).
% 9.38/6.89 tff(25648,plain,
% 9.38/6.89 (v9(constB167)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[25647, 25646, 25612])).
% 9.38/6.89 tff(25649,plain,
% 9.38/6.89 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB167)) <=> v1(constB167))),
% 9.38/6.89 inference(quant_inst,[status(thm)],[])).
% 9.38/6.89 tff(25650,plain,
% 9.38/6.89 ((~v39(constB167)) <=> v1(constB167)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[25649, 139])).
% 9.38/6.89 tff(25651,plain,
% 9.38/6.89 ((~((~v39(constB167)) <=> v1(constB167))) | v39(constB167) | v1(constB167)),
% 9.38/6.89 inference(tautology,[status(thm)],[])).
% 9.38/6.89 tff(25652,plain,
% 9.38/6.89 ((~((~v39(constB167)) <=> v1(constB167))) | v39(constB167)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[25651, 2122])).
% 9.38/6.89 tff(25653,plain,
% 9.38/6.89 (v39(constB167)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[25652, 25650])).
% 9.38/6.89 tff(25654,plain,
% 9.38/6.89 ((~((~v39(constB167)) | (~v9(constB167)))) | (~v39(constB167)) | (~v9(constB167))),
% 9.38/6.89 inference(tautology,[status(thm)],[])).
% 9.38/6.89 tff(25655,plain,
% 9.38/6.89 ((~((~v39(constB167)) | (~v9(constB167)))) | (~v9(constB167))),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[25654, 25653])).
% 9.38/6.89 tff(25656,plain,
% 9.38/6.89 (~((~v39(constB167)) | (~v9(constB167)))),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[25655, 25648])).
% 9.38/6.89 tff(25657,plain,
% 9.38/6.89 ((~(v141(constB167) <=> (~((~v39(constB167)) | (~v9(constB167)))))) | v141(constB167) | ((~v39(constB167)) | (~v9(constB167)))),
% 9.38/6.89 inference(tautology,[status(thm)],[])).
% 9.38/6.89 tff(25658,plain,
% 9.38/6.89 (v141(constB167)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[25657, 25656, 25608])).
% 9.38/6.89 tff(25659,plain,
% 9.38/6.89 ((v141(constB167) | v26(constB167)) | (~v141(constB167))),
% 9.38/6.89 inference(tautology,[status(thm)],[])).
% 9.38/6.89 tff(25660,plain,
% 9.38/6.89 (v141(constB167) | v26(constB167)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[25659, 25658])).
% 9.38/6.89 tff(25661,plain,
% 9.38/6.89 ((~(v140(constB167) <=> (v141(constB167) | v26(constB167)))) | v140(constB167) | (~(v141(constB167) | v26(constB167)))),
% 9.38/6.89 inference(tautology,[status(thm)],[])).
% 9.38/6.89 tff(25662,plain,
% 9.38/6.89 (v140(constB167)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[25661, 25660, 25606])).
% 9.38/6.89 tff(25663,plain,
% 9.38/6.89 ((~((~v139(constB167)) <=> v140(constB167))) | (~v139(constB167)) | (~v140(constB167))),
% 9.38/6.89 inference(tautology,[status(thm)],[])).
% 9.38/6.89 tff(25664,plain,
% 9.38/6.89 (~v139(constB167)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[25663, 25662, 25604])).
% 9.38/6.89 tff(25665,plain,
% 9.38/6.89 (((~v128(constB167)) | (~v139(constB167))) | v139(constB167)),
% 9.38/6.89 inference(tautology,[status(thm)],[])).
% 9.38/6.89 tff(25666,plain,
% 9.38/6.89 ((~v128(constB167)) | (~v139(constB167))),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[25665, 25664])).
% 9.38/6.89 tff(25667,plain,
% 9.38/6.89 ((~(v163(constB167) <=> (~((~v128(constB167)) | (~v139(constB167)))))) | (~v163(constB167)) | (~((~v128(constB167)) | (~v139(constB167))))),
% 9.38/6.89 inference(tautology,[status(thm)],[])).
% 9.38/6.89 tff(25668,plain,
% 9.38/6.89 (~v163(constB167)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[25667, 25666, 25602])).
% 9.38/6.89 tff(25669,plain,
% 9.38/6.89 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB167) <=> (~((~v130(constB167)) | (~v154(constB167)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB167) <=> (~((~v130(constB167)) | (~v154(constB167))))))),
% 9.38/6.89 inference(rewrite,[status(thm)],[])).
% 9.38/6.89 tff(25670,plain,
% 9.38/6.89 ((v164(constB167) <=> (~((~v154(constB167)) | (~v130(constB167))))) <=> (v164(constB167) <=> (~((~v130(constB167)) | (~v154(constB167)))))),
% 9.38/6.89 inference(rewrite,[status(thm)],[])).
% 9.38/6.89 tff(25671,plain,
% 9.38/6.89 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB167) <=> (~((~v154(constB167)) | (~v130(constB167)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB167) <=> (~((~v130(constB167)) | (~v154(constB167))))))),
% 9.38/6.89 inference(monotonicity,[status(thm)],[25670])).
% 9.38/6.89 tff(25672,plain,
% 9.38/6.89 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB167) <=> (~((~v154(constB167)) | (~v130(constB167)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB167) <=> (~((~v130(constB167)) | (~v154(constB167))))))),
% 9.38/6.89 inference(transitivity,[status(thm)],[25671, 25669])).
% 9.38/6.89 tff(25673,plain,
% 9.38/6.89 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB167) <=> (~((~v154(constB167)) | (~v130(constB167)))))),
% 9.38/6.89 inference(quant_inst,[status(thm)],[])).
% 9.38/6.89 tff(25674,plain,
% 9.38/6.89 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB167) <=> (~((~v130(constB167)) | (~v154(constB167)))))),
% 9.38/6.89 inference(modus_ponens,[status(thm)],[25673, 25672])).
% 9.38/6.89 tff(25675,plain,
% 9.38/6.89 (v164(constB167) <=> (~((~v130(constB167)) | (~v154(constB167))))),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[25674, 96])).
% 9.38/6.89 tff(25676,plain,
% 9.38/6.89 ((~![VarNext: $i] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB167) <=> v152(constB167))),
% 9.38/6.89 inference(quant_inst,[status(thm)],[])).
% 9.38/6.89 tff(25677,plain,
% 9.38/6.89 (v130(constB167) <=> v152(constB167)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[25676, 361])).
% 9.38/6.89 tff(25678,plain,
% 9.38/6.89 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB166, constB167)) | (v152(constB167) <=> v150(constB166)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB166, constB167)) | (v152(constB167) <=> v150(constB166)))),
% 9.38/6.89 inference(rewrite,[status(thm)],[])).
% 9.38/6.89 tff(25679,plain,
% 9.38/6.89 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB166, constB167)) | (v152(constB167) <=> v150(constB166)))),
% 9.38/6.89 inference(quant_inst,[status(thm)],[])).
% 9.38/6.89 tff(25680,plain,
% 9.38/6.89 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB166, constB167)) | (v152(constB167) <=> v150(constB166))),
% 9.38/6.89 inference(modus_ponens,[status(thm)],[25679, 25678])).
% 9.38/6.89 tff(25681,plain,
% 9.38/6.89 (v152(constB167) <=> v150(constB166)),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[25680, 2157, 373])).
% 9.38/6.89 tff(25682,plain,
% 9.38/6.89 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v153(VarCurr) | v155(VarCurr)))) | (v150(constB166) <=> (v153(constB166) | v155(constB166)))),
% 9.38/6.89 inference(quant_inst,[status(thm)],[])).
% 9.38/6.89 tff(25683,plain,
% 9.38/6.89 (v150(constB166) <=> (v153(constB166) | v155(constB166))),
% 9.38/6.89 inference(unit_resolution,[status(thm)],[25682, 387])).
% 9.38/6.89 tff(25684,plain,
% 9.38/6.89 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB166) <=> (~((~v132(constB166)) | (~v154(constB166)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB166) <=> (~((~v132(constB166)) | (~v154(constB166))))))),
% 9.38/6.90 inference(rewrite,[status(thm)],[])).
% 9.38/6.90 tff(25685,plain,
% 9.38/6.90 ((v153(constB166) <=> (~((~v154(constB166)) | (~v132(constB166))))) <=> (v153(constB166) <=> (~((~v132(constB166)) | (~v154(constB166)))))),
% 9.38/6.90 inference(rewrite,[status(thm)],[])).
% 9.38/6.90 tff(25686,plain,
% 9.38/6.90 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB166) <=> (~((~v154(constB166)) | (~v132(constB166)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB166) <=> (~((~v132(constB166)) | (~v154(constB166))))))),
% 9.38/6.90 inference(monotonicity,[status(thm)],[25685])).
% 9.38/6.90 tff(25687,plain,
% 9.38/6.90 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB166) <=> (~((~v154(constB166)) | (~v132(constB166)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB166) <=> (~((~v132(constB166)) | (~v154(constB166))))))),
% 9.38/6.90 inference(transitivity,[status(thm)],[25686, 25684])).
% 9.38/6.90 tff(25688,plain,
% 9.38/6.90 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB166) <=> (~((~v154(constB166)) | (~v132(constB166)))))),
% 9.38/6.90 inference(quant_inst,[status(thm)],[])).
% 9.38/6.90 tff(25689,plain,
% 9.38/6.90 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB166) <=> (~((~v132(constB166)) | (~v154(constB166)))))),
% 9.38/6.90 inference(modus_ponens,[status(thm)],[25688, 25687])).
% 9.38/6.90 tff(25690,plain,
% 9.38/6.90 (v153(constB166) <=> (~((~v132(constB166)) | (~v154(constB166))))),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[25689, 399])).
% 9.38/6.90 tff(25691,plain,
% 9.38/6.90 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB166) <=> (~((~v141(constB166)) | (~v143(constB166)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB166) <=> (~((~v141(constB166)) | (~v143(constB166))))))),
% 9.38/6.90 inference(rewrite,[status(thm)],[])).
% 9.38/6.90 tff(25692,plain,
% 9.38/6.90 ((v154(constB166) <=> (~((~v143(constB166)) | (~v141(constB166))))) <=> (v154(constB166) <=> (~((~v141(constB166)) | (~v143(constB166)))))),
% 9.38/6.90 inference(rewrite,[status(thm)],[])).
% 9.38/6.90 tff(25693,plain,
% 9.38/6.90 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB166) <=> (~((~v143(constB166)) | (~v141(constB166)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB166) <=> (~((~v141(constB166)) | (~v143(constB166))))))),
% 9.38/6.90 inference(monotonicity,[status(thm)],[25692])).
% 9.38/6.90 tff(25694,plain,
% 9.38/6.90 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB166) <=> (~((~v143(constB166)) | (~v141(constB166)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB166) <=> (~((~v141(constB166)) | (~v143(constB166))))))),
% 9.38/6.90 inference(transitivity,[status(thm)],[25693, 25691])).
% 9.38/6.90 tff(25695,plain,
% 9.38/6.90 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB166) <=> (~((~v143(constB166)) | (~v141(constB166)))))),
% 9.38/6.90 inference(quant_inst,[status(thm)],[])).
% 9.38/6.90 tff(25696,plain,
% 9.38/6.90 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB166) <=> (~((~v141(constB166)) | (~v143(constB166)))))),
% 9.38/6.90 inference(modus_ponens,[status(thm)],[25695, 25694])).
% 9.38/6.90 tff(25697,plain,
% 9.38/6.90 (v154(constB166) <=> (~((~v141(constB166)) | (~v143(constB166))))),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[25696, 113])).
% 9.38/6.90 tff(25698,plain,
% 9.38/6.90 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB166) <=> (~((~v39(constB166)) | (~v9(constB166)))))),
% 9.38/6.90 inference(quant_inst,[status(thm)],[])).
% 9.38/6.90 tff(25699,plain,
% 9.38/6.90 (v141(constB166) <=> (~((~v39(constB166)) | (~v9(constB166))))),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[25698, 130])).
% 9.38/6.90 tff(25700,plain,
% 9.38/6.90 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB166)) <=> v1(constB166))),
% 9.38/6.90 inference(quant_inst,[status(thm)],[])).
% 9.38/6.90 tff(25701,plain,
% 9.38/6.90 ((~v39(constB166)) <=> v1(constB166)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[25700, 139])).
% 9.38/6.90 tff(25702,plain,
% 9.38/6.90 ((~((~v39(constB166)) <=> v1(constB166))) | (~v39(constB166)) | (~v1(constB166))),
% 9.38/6.90 inference(tautology,[status(thm)],[])).
% 9.38/6.90 tff(25703,plain,
% 9.38/6.90 ((~((~v39(constB166)) <=> v1(constB166))) | (~v39(constB166))),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[25702, 2219])).
% 9.38/6.90 tff(25704,plain,
% 9.38/6.90 (~v39(constB166)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[25703, 25701])).
% 9.38/6.90 tff(25705,plain,
% 9.38/6.90 (((~v39(constB166)) | (~v9(constB166))) | v39(constB166)),
% 9.38/6.90 inference(tautology,[status(thm)],[])).
% 9.38/6.90 tff(25706,plain,
% 9.38/6.90 ((~v39(constB166)) | (~v9(constB166))),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[25705, 25704])).
% 9.38/6.90 tff(25707,plain,
% 9.38/6.90 ((~(v141(constB166) <=> (~((~v39(constB166)) | (~v9(constB166)))))) | (~v141(constB166)) | (~((~v39(constB166)) | (~v9(constB166))))),
% 9.38/6.90 inference(tautology,[status(thm)],[])).
% 9.38/6.90 tff(25708,plain,
% 9.38/6.90 ((~(v141(constB166) <=> (~((~v39(constB166)) | (~v9(constB166)))))) | (~v141(constB166))),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[25707, 25706])).
% 9.38/6.90 tff(25709,plain,
% 9.38/6.90 (~v141(constB166)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[25708, 25699])).
% 9.38/6.90 tff(25710,plain,
% 9.38/6.90 (((~v141(constB166)) | (~v143(constB166))) | v141(constB166)),
% 9.38/6.90 inference(tautology,[status(thm)],[])).
% 9.38/6.90 tff(25711,plain,
% 9.38/6.90 ((~v141(constB166)) | (~v143(constB166))),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[25710, 25709])).
% 9.38/6.90 tff(25712,plain,
% 9.38/6.90 ((~(v154(constB166) <=> (~((~v141(constB166)) | (~v143(constB166)))))) | (~v154(constB166)) | (~((~v141(constB166)) | (~v143(constB166))))),
% 9.38/6.90 inference(tautology,[status(thm)],[])).
% 9.38/6.90 tff(25713,plain,
% 9.38/6.90 ((~(v154(constB166) <=> (~((~v141(constB166)) | (~v143(constB166)))))) | (~v154(constB166))),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[25712, 25711])).
% 9.38/6.90 tff(25714,plain,
% 9.38/6.90 (~v154(constB166)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[25713, 25697])).
% 9.38/6.90 tff(25715,plain,
% 9.38/6.90 (((~v132(constB166)) | (~v154(constB166))) | v154(constB166)),
% 9.38/6.90 inference(tautology,[status(thm)],[])).
% 9.38/6.90 tff(25716,plain,
% 9.38/6.90 ((~v132(constB166)) | (~v154(constB166))),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[25715, 25714])).
% 9.38/6.90 tff(25717,plain,
% 9.38/6.90 ((~(v153(constB166) <=> (~((~v132(constB166)) | (~v154(constB166)))))) | (~v153(constB166)) | (~((~v132(constB166)) | (~v154(constB166))))),
% 9.38/6.90 inference(tautology,[status(thm)],[])).
% 9.38/6.90 tff(25718,plain,
% 9.38/6.90 (~v153(constB166)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[25717, 25716, 25690])).
% 9.38/6.90 tff(25719,plain,
% 9.38/6.90 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB166) <=> (~((~v130(constB166)) | (~v139(constB166)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB166) <=> (~((~v130(constB166)) | (~v139(constB166))))))),
% 9.38/6.90 inference(rewrite,[status(thm)],[])).
% 9.38/6.90 tff(25720,plain,
% 9.38/6.90 ((v155(constB166) <=> (~((~v139(constB166)) | (~v130(constB166))))) <=> (v155(constB166) <=> (~((~v130(constB166)) | (~v139(constB166)))))),
% 9.38/6.90 inference(rewrite,[status(thm)],[])).
% 9.38/6.90 tff(25721,plain,
% 9.38/6.90 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB166) <=> (~((~v139(constB166)) | (~v130(constB166)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB166) <=> (~((~v130(constB166)) | (~v139(constB166))))))),
% 9.38/6.90 inference(monotonicity,[status(thm)],[25720])).
% 9.38/6.90 tff(25722,plain,
% 9.38/6.90 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB166) <=> (~((~v139(constB166)) | (~v130(constB166)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB166) <=> (~((~v130(constB166)) | (~v139(constB166))))))),
% 9.38/6.90 inference(transitivity,[status(thm)],[25721, 25719])).
% 9.38/6.90 tff(25723,plain,
% 9.38/6.90 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB166) <=> (~((~v139(constB166)) | (~v130(constB166)))))),
% 9.38/6.90 inference(quant_inst,[status(thm)],[])).
% 9.38/6.90 tff(25724,plain,
% 9.38/6.90 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB166) <=> (~((~v130(constB166)) | (~v139(constB166)))))),
% 9.38/6.90 inference(modus_ponens,[status(thm)],[25723, 25722])).
% 9.38/6.90 tff(25725,plain,
% 9.38/6.90 (v155(constB166) <=> (~((~v130(constB166)) | (~v139(constB166))))),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[25724, 447])).
% 9.38/6.90 tff(25726,plain,
% 9.38/6.90 ((~![VarNext: $i] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB166) <=> v152(constB166))),
% 9.38/6.90 inference(quant_inst,[status(thm)],[])).
% 9.38/6.90 tff(25727,plain,
% 9.38/6.90 (v130(constB166) <=> v152(constB166)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[25726, 361])).
% 9.38/6.90 tff(25728,plain,
% 9.38/6.90 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB165, constB166)) | (v152(constB166) <=> v150(constB165)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB165, constB166)) | (v152(constB166) <=> v150(constB165)))),
% 9.38/6.90 inference(rewrite,[status(thm)],[])).
% 9.38/6.90 tff(25729,plain,
% 9.38/6.90 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB165, constB166)) | (v152(constB166) <=> v150(constB165)))),
% 9.38/6.90 inference(quant_inst,[status(thm)],[])).
% 9.38/6.90 tff(25730,plain,
% 9.38/6.90 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB165, constB166)) | (v152(constB166) <=> v150(constB165))),
% 9.38/6.90 inference(modus_ponens,[status(thm)],[25729, 25728])).
% 9.38/6.90 tff(25731,plain,
% 9.38/6.90 (v152(constB166) <=> v150(constB165)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[25730, 2189, 373])).
% 9.38/6.90 tff(25732,plain,
% 9.38/6.90 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v153(VarCurr) | v155(VarCurr)))) | (v150(constB165) <=> (v153(constB165) | v155(constB165)))),
% 9.38/6.90 inference(quant_inst,[status(thm)],[])).
% 9.38/6.90 tff(25733,plain,
% 9.38/6.90 (v150(constB165) <=> (v153(constB165) | v155(constB165))),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[25732, 387])).
% 9.38/6.90 tff(25734,plain,
% 9.38/6.90 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB165) <=> (~((~v130(constB165)) | (~v139(constB165)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB165) <=> (~((~v130(constB165)) | (~v139(constB165))))))),
% 9.38/6.90 inference(rewrite,[status(thm)],[])).
% 9.38/6.90 tff(25735,plain,
% 9.38/6.90 ((v155(constB165) <=> (~((~v139(constB165)) | (~v130(constB165))))) <=> (v155(constB165) <=> (~((~v130(constB165)) | (~v139(constB165)))))),
% 9.38/6.90 inference(rewrite,[status(thm)],[])).
% 9.38/6.90 tff(25736,plain,
% 9.38/6.90 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB165) <=> (~((~v139(constB165)) | (~v130(constB165)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB165) <=> (~((~v130(constB165)) | (~v139(constB165))))))),
% 9.38/6.90 inference(monotonicity,[status(thm)],[25735])).
% 9.38/6.90 tff(25737,plain,
% 9.38/6.90 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB165) <=> (~((~v139(constB165)) | (~v130(constB165)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB165) <=> (~((~v130(constB165)) | (~v139(constB165))))))),
% 9.38/6.90 inference(transitivity,[status(thm)],[25736, 25734])).
% 9.38/6.90 tff(25738,plain,
% 9.38/6.90 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB165) <=> (~((~v139(constB165)) | (~v130(constB165)))))),
% 9.38/6.90 inference(quant_inst,[status(thm)],[])).
% 9.38/6.90 tff(25739,plain,
% 9.38/6.90 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB165) <=> (~((~v130(constB165)) | (~v139(constB165)))))),
% 9.38/6.90 inference(modus_ponens,[status(thm)],[25738, 25737])).
% 9.38/6.90 tff(25740,plain,
% 9.38/6.90 (v155(constB165) <=> (~((~v130(constB165)) | (~v139(constB165))))),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[25739, 447])).
% 9.38/6.90 tff(25741,plain,
% 9.38/6.90 ((~![VarCurr: $i] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB165)) <=> v140(constB165))),
% 9.38/6.90 inference(quant_inst,[status(thm)],[])).
% 9.38/6.90 tff(25742,plain,
% 9.38/6.90 ((~v139(constB165)) <=> v140(constB165)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[25741, 203])).
% 9.38/6.90 tff(25743,plain,
% 9.38/6.90 ((~![VarCurr: $i] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB165) <=> (v141(constB165) | v26(constB165)))),
% 9.38/6.90 inference(quant_inst,[status(thm)],[])).
% 9.38/6.90 tff(25744,plain,
% 9.38/6.90 (v140(constB165) <=> (v141(constB165) | v26(constB165))),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[25743, 212])).
% 9.38/6.90 tff(25745,plain,
% 9.38/6.90 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB165) <=> (~((~v39(constB165)) | (~v9(constB165)))))),
% 9.38/6.90 inference(quant_inst,[status(thm)],[])).
% 9.38/6.90 tff(25746,plain,
% 9.38/6.90 (v141(constB165) <=> (~((~v39(constB165)) | (~v9(constB165))))),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[25745, 130])).
% 9.38/6.90 tff(25747,plain,
% 9.38/6.90 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB165, constB166)) | (v13(constB166) <=> v9(constB165)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB165, constB166)) | (v13(constB166) <=> v9(constB165)))),
% 9.38/6.90 inference(rewrite,[status(thm)],[])).
% 9.38/6.90 tff(25748,plain,
% 9.38/6.90 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB165, constB166)) | (v13(constB166) <=> v9(constB165)))),
% 9.38/6.90 inference(quant_inst,[status(thm)],[])).
% 9.38/6.90 tff(25749,plain,
% 9.38/6.90 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB165, constB166)) | (v13(constB166) <=> v9(constB165))),
% 9.38/6.90 inference(modus_ponens,[status(thm)],[25748, 25747])).
% 9.38/6.90 tff(25750,plain,
% 9.38/6.90 (v13(constB166) <=> v9(constB165)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[25749, 2189, 226])).
% 9.38/6.90 tff(25751,plain,
% 9.38/6.90 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB166) <=> v13(constB166))),
% 9.38/6.90 inference(quant_inst,[status(thm)],[])).
% 9.38/6.90 tff(25752,plain,
% 9.38/6.90 (v6(constB166) <=> v13(constB166)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[25751, 240])).
% 9.38/6.90 tff(25753,plain,
% 9.38/6.90 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB166)) <=> v6(constB166))),
% 9.38/6.90 inference(quant_inst,[status(thm)],[])).
% 9.38/6.90 tff(25754,plain,
% 9.38/6.90 ((~v21(constB166)) <=> v6(constB166)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[25753, 249])).
% 9.38/6.90 tff(25755,plain,
% 9.38/6.90 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB166) <=> (v20(constB166) | v21(constB166)))),
% 9.38/6.90 inference(quant_inst,[status(thm)],[])).
% 9.38/6.90 tff(25756,plain,
% 9.38/6.90 (v19(constB166) <=> (v20(constB166) | v21(constB166))),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[25755, 258])).
% 9.38/6.90 tff(25757,plain,
% 9.38/6.90 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB166) <=> (~((~v19(constB166)) | (~v22(constB166)))))),
% 9.38/6.90 inference(quant_inst,[status(thm)],[])).
% 9.38/6.90 tff(25758,plain,
% 9.38/6.90 (v18(constB166) <=> (~((~v19(constB166)) | (~v22(constB166))))),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[25757, 270])).
% 9.38/6.90 tff(25759,plain,
% 9.38/6.90 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB166)) <=> v18(constB166))),
% 9.38/6.90 inference(quant_inst,[status(thm)],[])).
% 9.38/6.90 tff(25760,plain,
% 9.38/6.90 ((~v4(constB166)) <=> v18(constB166)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[25759, 279])).
% 9.38/6.90 tff(25761,plain,
% 9.38/6.90 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB166)),
% 9.38/6.90 inference(quant_inst,[status(thm)],[])).
% 9.38/6.90 tff(25762,plain,
% 9.38/6.90 (v4(constB166)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[25761, 288])).
% 9.38/6.90 tff(25763,plain,
% 9.38/6.90 ((~((~v4(constB166)) <=> v18(constB166))) | (~v4(constB166)) | (~v18(constB166))),
% 9.38/6.90 inference(tautology,[status(thm)],[])).
% 9.38/6.90 tff(25764,plain,
% 9.38/6.90 (~v18(constB166)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[25763, 25762, 25760])).
% 9.38/6.90 tff(25765,plain,
% 9.38/6.90 ((~(v18(constB166) <=> (~((~v19(constB166)) | (~v22(constB166)))))) | v18(constB166) | ((~v19(constB166)) | (~v22(constB166)))),
% 9.38/6.90 inference(tautology,[status(thm)],[])).
% 9.38/6.90 tff(25766,plain,
% 9.38/6.90 ((~v19(constB166)) | (~v22(constB166))),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[25765, 25764, 25758])).
% 9.38/6.90 tff(25767,plain,
% 9.38/6.90 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB166) <=> (v1(constB166) | v6(constB166)))),
% 9.38/6.90 inference(quant_inst,[status(thm)],[])).
% 9.38/6.90 tff(25768,plain,
% 9.38/6.90 (v22(constB166) <=> (v1(constB166) | v6(constB166))),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[25767, 301])).
% 9.38/6.90 tff(25769,plain,
% 9.38/6.90 ((v1(constB166) | v6(constB166)) | (~v1(constB166))),
% 9.38/6.90 inference(tautology,[status(thm)],[])).
% 9.38/6.90 tff(25770,plain,
% 9.38/6.90 (v1(constB166) | v6(constB166)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[25769, 2219])).
% 9.38/6.90 tff(25771,plain,
% 9.38/6.90 ((~(v22(constB166) <=> (v1(constB166) | v6(constB166)))) | v22(constB166) | (~(v1(constB166) | v6(constB166)))),
% 9.38/6.90 inference(tautology,[status(thm)],[])).
% 9.38/6.90 tff(25772,plain,
% 9.38/6.90 ((~(v22(constB166) <=> (v1(constB166) | v6(constB166)))) | v22(constB166)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[25771, 25770])).
% 9.38/6.90 tff(25773,plain,
% 9.38/6.90 (v22(constB166)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[25772, 25768])).
% 9.38/6.90 tff(25774,plain,
% 9.38/6.90 ((~((~v19(constB166)) | (~v22(constB166)))) | (~v19(constB166)) | (~v22(constB166))),
% 9.38/6.90 inference(tautology,[status(thm)],[])).
% 9.38/6.90 tff(25775,plain,
% 9.38/6.90 ((~((~v19(constB166)) | (~v22(constB166)))) | (~v19(constB166))),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[25774, 25773])).
% 9.38/6.90 tff(25776,plain,
% 9.38/6.90 (~v19(constB166)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[25775, 25766])).
% 9.38/6.90 tff(25777,plain,
% 9.38/6.90 ((~(v19(constB166) <=> (v20(constB166) | v21(constB166)))) | v19(constB166) | (~(v20(constB166) | v21(constB166)))),
% 9.38/6.90 inference(tautology,[status(thm)],[])).
% 9.38/6.90 tff(25778,plain,
% 9.38/6.90 (~(v20(constB166) | v21(constB166))),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[25777, 25776, 25756])).
% 9.38/6.90 tff(25779,plain,
% 9.38/6.90 ((v20(constB166) | v21(constB166)) | (~v21(constB166))),
% 9.38/6.90 inference(tautology,[status(thm)],[])).
% 9.38/6.90 tff(25780,plain,
% 9.38/6.90 (~v21(constB166)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[25779, 25778])).
% 9.38/6.90 tff(25781,plain,
% 9.38/6.90 ((~((~v21(constB166)) <=> v6(constB166))) | v21(constB166) | v6(constB166)),
% 9.38/6.90 inference(tautology,[status(thm)],[])).
% 9.38/6.90 tff(25782,plain,
% 9.38/6.90 (v6(constB166)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[25781, 25780, 25754])).
% 9.38/6.90 tff(25783,plain,
% 9.38/6.90 ((~(v6(constB166) <=> v13(constB166))) | (~v6(constB166)) | v13(constB166)),
% 9.38/6.90 inference(tautology,[status(thm)],[])).
% 9.38/6.90 tff(25784,plain,
% 9.38/6.90 (v13(constB166)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[25783, 25782, 25752])).
% 9.38/6.90 tff(25785,plain,
% 9.38/6.90 ((~(v13(constB166) <=> v9(constB165))) | (~v13(constB166)) | v9(constB165)),
% 9.38/6.90 inference(tautology,[status(thm)],[])).
% 9.38/6.90 tff(25786,plain,
% 9.38/6.90 (v9(constB165)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[25785, 25784, 25750])).
% 9.38/6.90 tff(25787,plain,
% 9.38/6.90 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB165)) <=> v1(constB165))),
% 9.38/6.90 inference(quant_inst,[status(thm)],[])).
% 9.38/6.90 tff(25788,plain,
% 9.38/6.90 ((~v39(constB165)) <=> v1(constB165)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[25787, 139])).
% 9.38/6.90 tff(25789,plain,
% 9.38/6.90 ((~((~v39(constB165)) <=> v1(constB165))) | v39(constB165) | v1(constB165)),
% 9.38/6.90 inference(tautology,[status(thm)],[])).
% 9.38/6.90 tff(25790,plain,
% 9.38/6.90 ((~((~v39(constB165)) <=> v1(constB165))) | v39(constB165)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[25789, 2211])).
% 9.38/6.90 tff(25791,plain,
% 9.38/6.90 (v39(constB165)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[25790, 25788])).
% 9.38/6.90 tff(25792,plain,
% 9.38/6.90 ((~((~v39(constB165)) | (~v9(constB165)))) | (~v39(constB165)) | (~v9(constB165))),
% 9.38/6.90 inference(tautology,[status(thm)],[])).
% 9.38/6.90 tff(25793,plain,
% 9.38/6.90 ((~((~v39(constB165)) | (~v9(constB165)))) | (~v9(constB165))),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[25792, 25791])).
% 9.38/6.90 tff(25794,plain,
% 9.38/6.90 (~((~v39(constB165)) | (~v9(constB165)))),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[25793, 25786])).
% 9.38/6.90 tff(25795,plain,
% 9.38/6.90 ((~(v141(constB165) <=> (~((~v39(constB165)) | (~v9(constB165)))))) | v141(constB165) | ((~v39(constB165)) | (~v9(constB165)))),
% 9.38/6.90 inference(tautology,[status(thm)],[])).
% 9.38/6.90 tff(25796,plain,
% 9.38/6.90 (v141(constB165)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[25795, 25794, 25746])).
% 9.38/6.90 tff(25797,plain,
% 9.38/6.90 ((v141(constB165) | v26(constB165)) | (~v141(constB165))),
% 9.38/6.90 inference(tautology,[status(thm)],[])).
% 9.38/6.90 tff(25798,plain,
% 9.38/6.90 (v141(constB165) | v26(constB165)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[25797, 25796])).
% 9.38/6.90 tff(25799,plain,
% 9.38/6.90 ((~(v140(constB165) <=> (v141(constB165) | v26(constB165)))) | v140(constB165) | (~(v141(constB165) | v26(constB165)))),
% 9.38/6.90 inference(tautology,[status(thm)],[])).
% 9.38/6.90 tff(25800,plain,
% 9.38/6.90 (v140(constB165)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[25799, 25798, 25744])).
% 9.38/6.90 tff(25801,plain,
% 9.38/6.90 ((~((~v139(constB165)) <=> v140(constB165))) | (~v139(constB165)) | (~v140(constB165))),
% 9.38/6.90 inference(tautology,[status(thm)],[])).
% 9.38/6.90 tff(25802,plain,
% 9.38/6.90 (~v139(constB165)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[25801, 25800, 25742])).
% 9.38/6.90 tff(25803,plain,
% 9.38/6.90 (((~v130(constB165)) | (~v139(constB165))) | v139(constB165)),
% 9.38/6.90 inference(tautology,[status(thm)],[])).
% 9.38/6.90 tff(25804,plain,
% 9.38/6.90 ((~v130(constB165)) | (~v139(constB165))),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[25803, 25802])).
% 9.38/6.90 tff(25805,plain,
% 9.38/6.90 ((~(v155(constB165) <=> (~((~v130(constB165)) | (~v139(constB165)))))) | (~v155(constB165)) | (~((~v130(constB165)) | (~v139(constB165))))),
% 9.38/6.90 inference(tautology,[status(thm)],[])).
% 9.38/6.90 tff(25806,plain,
% 9.38/6.90 (~v155(constB165)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[25805, 25804, 25740])).
% 9.38/6.90 tff(25807,plain,
% 9.38/6.90 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB165) <=> (~((~v132(constB165)) | (~v154(constB165)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB165) <=> (~((~v132(constB165)) | (~v154(constB165))))))),
% 9.38/6.90 inference(rewrite,[status(thm)],[])).
% 9.38/6.90 tff(25808,plain,
% 9.38/6.90 ((v153(constB165) <=> (~((~v154(constB165)) | (~v132(constB165))))) <=> (v153(constB165) <=> (~((~v132(constB165)) | (~v154(constB165)))))),
% 9.38/6.90 inference(rewrite,[status(thm)],[])).
% 9.38/6.90 tff(25809,plain,
% 9.38/6.90 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB165) <=> (~((~v154(constB165)) | (~v132(constB165)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB165) <=> (~((~v132(constB165)) | (~v154(constB165))))))),
% 9.38/6.90 inference(monotonicity,[status(thm)],[25808])).
% 9.38/6.90 tff(25810,plain,
% 9.38/6.90 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB165) <=> (~((~v154(constB165)) | (~v132(constB165)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB165) <=> (~((~v132(constB165)) | (~v154(constB165))))))),
% 9.38/6.90 inference(transitivity,[status(thm)],[25809, 25807])).
% 9.38/6.90 tff(25811,plain,
% 9.38/6.90 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB165) <=> (~((~v154(constB165)) | (~v132(constB165)))))),
% 9.38/6.90 inference(quant_inst,[status(thm)],[])).
% 9.38/6.90 tff(25812,plain,
% 9.38/6.90 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB165) <=> (~((~v132(constB165)) | (~v154(constB165)))))),
% 9.38/6.90 inference(modus_ponens,[status(thm)],[25811, 25810])).
% 9.38/6.90 tff(25813,plain,
% 9.38/6.90 (v153(constB165) <=> (~((~v132(constB165)) | (~v154(constB165))))),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[25812, 399])).
% 9.38/6.90 tff(25814,plain,
% 9.38/6.90 ((~![VarNext: $i] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB165) <=> v137(constB165))),
% 9.38/6.90 inference(quant_inst,[status(thm)],[])).
% 9.38/6.90 tff(25815,plain,
% 9.38/6.90 (v132(constB165) <=> v137(constB165)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[25814, 558])).
% 9.38/6.90 tff(25816,plain,
% 9.38/6.90 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB164, constB165)) | (v137(constB165) <=> v135(constB164)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB164, constB165)) | (v137(constB165) <=> v135(constB164)))),
% 9.38/6.90 inference(rewrite,[status(thm)],[])).
% 9.38/6.90 tff(25817,plain,
% 9.38/6.90 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB164, constB165)) | (v137(constB165) <=> v135(constB164)))),
% 9.38/6.90 inference(quant_inst,[status(thm)],[])).
% 9.38/6.90 tff(25818,plain,
% 9.38/6.90 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB164, constB165)) | (v137(constB165) <=> v135(constB164))),
% 9.38/6.90 inference(modus_ponens,[status(thm)],[25817, 25816])).
% 9.38/6.90 tff(25819,plain,
% 9.38/6.90 (v137(constB165) <=> v135(constB164)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[25818, 2248, 570])).
% 9.38/6.90 tff(25820,plain,
% 9.38/6.90 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB164) <=> (v138(constB164) | v142(constB164)))),
% 9.38/6.90 inference(quant_inst,[status(thm)],[])).
% 9.38/6.90 tff(25821,plain,
% 9.38/6.90 (v135(constB164) <=> (v138(constB164) | v142(constB164))),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[25820, 584])).
% 9.38/6.90 tff(25822,plain,
% 9.38/6.90 ((~![VarCurr: $i] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB164) <=> (~((~v143(constB164)) | (~v144(constB164)))))),
% 9.38/6.90 inference(quant_inst,[status(thm)],[])).
% 9.38/6.90 tff(25823,plain,
% 9.38/6.90 (v142(constB164) <=> (~((~v143(constB164)) | (~v144(constB164))))),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[25822, 596])).
% 9.38/6.90 tff(25824,plain,
% 9.38/6.90 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB164) <=> (~((~v141(constB164)) | (~v145(constB164)))))),
% 9.38/6.90 inference(quant_inst,[status(thm)],[])).
% 9.38/6.90 tff(25825,plain,
% 9.38/6.90 (v144(constB164) <=> (~((~v141(constB164)) | (~v145(constB164))))),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[25824, 608])).
% 9.38/6.90 tff(25826,plain,
% 9.38/6.90 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB164) <=> (~((~v39(constB164)) | (~v9(constB164)))))),
% 9.38/6.90 inference(quant_inst,[status(thm)],[])).
% 9.38/6.90 tff(25827,plain,
% 9.38/6.90 (v141(constB164) <=> (~((~v39(constB164)) | (~v9(constB164))))),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[25826, 130])).
% 9.38/6.90 tff(25828,plain,
% 9.38/6.90 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB164)) <=> v1(constB164))),
% 9.38/6.90 inference(quant_inst,[status(thm)],[])).
% 9.38/6.90 tff(25829,plain,
% 9.38/6.90 ((~v39(constB164)) <=> v1(constB164)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[25828, 139])).
% 9.38/6.90 tff(25830,plain,
% 9.38/6.90 ((~((~v39(constB164)) <=> v1(constB164))) | (~v39(constB164)) | (~v1(constB164))),
% 9.38/6.90 inference(tautology,[status(thm)],[])).
% 9.38/6.90 tff(25831,plain,
% 9.38/6.90 ((~((~v39(constB164)) <=> v1(constB164))) | (~v39(constB164))),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[25830, 2310])).
% 9.38/6.90 tff(25832,plain,
% 9.38/6.90 (~v39(constB164)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[25831, 25829])).
% 9.38/6.90 tff(25833,plain,
% 9.38/6.90 (((~v39(constB164)) | (~v9(constB164))) | v39(constB164)),
% 9.38/6.90 inference(tautology,[status(thm)],[])).
% 9.38/6.90 tff(25834,plain,
% 9.38/6.90 ((~v39(constB164)) | (~v9(constB164))),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[25833, 25832])).
% 9.38/6.90 tff(25835,plain,
% 9.38/6.90 ((~(v141(constB164) <=> (~((~v39(constB164)) | (~v9(constB164)))))) | (~v141(constB164)) | (~((~v39(constB164)) | (~v9(constB164))))),
% 9.38/6.90 inference(tautology,[status(thm)],[])).
% 9.38/6.90 tff(25836,plain,
% 9.38/6.90 ((~(v141(constB164) <=> (~((~v39(constB164)) | (~v9(constB164)))))) | (~v141(constB164))),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[25835, 25834])).
% 9.38/6.90 tff(25837,plain,
% 9.38/6.90 (~v141(constB164)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[25836, 25827])).
% 9.38/6.90 tff(25838,plain,
% 9.38/6.90 (((~v141(constB164)) | (~v145(constB164))) | v141(constB164)),
% 9.38/6.90 inference(tautology,[status(thm)],[])).
% 9.38/6.90 tff(25839,plain,
% 9.38/6.90 ((~v141(constB164)) | (~v145(constB164))),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[25838, 25837])).
% 9.38/6.90 tff(25840,plain,
% 9.38/6.90 ((~(v144(constB164) <=> (~((~v141(constB164)) | (~v145(constB164)))))) | (~v144(constB164)) | (~((~v141(constB164)) | (~v145(constB164))))),
% 9.38/6.90 inference(tautology,[status(thm)],[])).
% 9.38/6.90 tff(25841,plain,
% 9.38/6.90 ((~(v144(constB164) <=> (~((~v141(constB164)) | (~v145(constB164)))))) | (~v144(constB164))),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[25840, 25839])).
% 9.38/6.90 tff(25842,plain,
% 9.38/6.90 (~v144(constB164)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[25841, 25825])).
% 9.38/6.90 tff(25843,plain,
% 9.38/6.90 (((~v143(constB164)) | (~v144(constB164))) | v144(constB164)),
% 9.38/6.90 inference(tautology,[status(thm)],[])).
% 9.38/6.90 tff(25844,plain,
% 9.38/6.90 ((~v143(constB164)) | (~v144(constB164))),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[25843, 25842])).
% 9.38/6.90 tff(25845,plain,
% 9.38/6.90 ((~(v142(constB164) <=> (~((~v143(constB164)) | (~v144(constB164)))))) | (~v142(constB164)) | (~((~v143(constB164)) | (~v144(constB164))))),
% 9.38/6.90 inference(tautology,[status(thm)],[])).
% 9.38/6.90 tff(25846,plain,
% 9.38/6.90 (~v142(constB164)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[25845, 25844, 25823])).
% 9.38/6.90 tff(25847,plain,
% 9.38/6.90 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB164) <=> (~((~v132(constB164)) | (~v139(constB164)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB164) <=> (~((~v132(constB164)) | (~v139(constB164))))))),
% 9.38/6.90 inference(rewrite,[status(thm)],[])).
% 9.38/6.90 tff(25848,plain,
% 9.38/6.90 ((v138(constB164) <=> (~((~v139(constB164)) | (~v132(constB164))))) <=> (v138(constB164) <=> (~((~v132(constB164)) | (~v139(constB164)))))),
% 9.38/6.90 inference(rewrite,[status(thm)],[])).
% 9.38/6.90 tff(25849,plain,
% 9.38/6.90 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB164) <=> (~((~v139(constB164)) | (~v132(constB164)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB164) <=> (~((~v132(constB164)) | (~v139(constB164))))))),
% 9.38/6.90 inference(monotonicity,[status(thm)],[25848])).
% 9.38/6.90 tff(25850,plain,
% 9.38/6.90 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB164) <=> (~((~v139(constB164)) | (~v132(constB164)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB164) <=> (~((~v132(constB164)) | (~v139(constB164))))))),
% 9.38/6.90 inference(transitivity,[status(thm)],[25849, 25847])).
% 9.38/6.90 tff(25851,plain,
% 9.38/6.90 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB164) <=> (~((~v139(constB164)) | (~v132(constB164)))))),
% 9.38/6.90 inference(quant_inst,[status(thm)],[])).
% 9.38/6.90 tff(25852,plain,
% 9.38/6.90 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB164) <=> (~((~v132(constB164)) | (~v139(constB164)))))),
% 9.38/6.90 inference(modus_ponens,[status(thm)],[25851, 25850])).
% 9.38/6.90 tff(25853,plain,
% 9.38/6.90 (v138(constB164) <=> (~((~v132(constB164)) | (~v139(constB164))))),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[25852, 644])).
% 9.38/6.90 tff(25854,plain,
% 9.38/6.90 ((~![VarNext: $i] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB164) <=> v137(constB164))),
% 9.38/6.90 inference(quant_inst,[status(thm)],[])).
% 9.38/6.90 tff(25855,plain,
% 9.38/6.90 (v132(constB164) <=> v137(constB164)),
% 9.38/6.90 inference(unit_resolution,[status(thm)],[25854, 558])).
% 9.38/6.90 tff(25856,plain,
% 9.38/6.90 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB163, constB164)) | (v137(constB164) <=> v135(constB163)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB163, constB164)) | (v137(constB164) <=> v135(constB163)))),
% 9.38/6.90 inference(rewrite,[status(thm)],[])).
% 9.38/6.90 tff(25857,plain,
% 9.38/6.90 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB163, constB164)) | (v137(constB164) <=> v135(constB163)))),
% 9.38/6.90 inference(quant_inst,[status(thm)],[])).
% 9.38/6.90 tff(25858,plain,
% 9.38/6.90 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB163, constB164)) | (v137(constB164) <=> v135(constB163))),
% 9.39/6.90 inference(modus_ponens,[status(thm)],[25857, 25856])).
% 9.39/6.90 tff(25859,plain,
% 9.39/6.90 (v137(constB164) <=> v135(constB163)),
% 9.39/6.90 inference(unit_resolution,[status(thm)],[25858, 2280, 570])).
% 9.39/6.90 tff(25860,plain,
% 9.39/6.90 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB163) <=> (v138(constB163) | v142(constB163)))),
% 9.39/6.90 inference(quant_inst,[status(thm)],[])).
% 9.39/6.90 tff(25861,plain,
% 9.39/6.90 (v135(constB163) <=> (v138(constB163) | v142(constB163))),
% 9.39/6.90 inference(unit_resolution,[status(thm)],[25860, 584])).
% 9.39/6.90 tff(25862,plain,
% 9.39/6.90 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB163) <=> (~((~v132(constB163)) | (~v139(constB163)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB163) <=> (~((~v132(constB163)) | (~v139(constB163))))))),
% 9.39/6.90 inference(rewrite,[status(thm)],[])).
% 9.39/6.90 tff(25863,plain,
% 9.39/6.90 ((v138(constB163) <=> (~((~v139(constB163)) | (~v132(constB163))))) <=> (v138(constB163) <=> (~((~v132(constB163)) | (~v139(constB163)))))),
% 9.39/6.90 inference(rewrite,[status(thm)],[])).
% 9.39/6.90 tff(25864,plain,
% 9.39/6.90 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB163) <=> (~((~v139(constB163)) | (~v132(constB163)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB163) <=> (~((~v132(constB163)) | (~v139(constB163))))))),
% 9.39/6.90 inference(monotonicity,[status(thm)],[25863])).
% 9.39/6.90 tff(25865,plain,
% 9.39/6.90 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB163) <=> (~((~v139(constB163)) | (~v132(constB163)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB163) <=> (~((~v132(constB163)) | (~v139(constB163))))))),
% 9.39/6.90 inference(transitivity,[status(thm)],[25864, 25862])).
% 9.39/6.90 tff(25866,plain,
% 9.39/6.90 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB163) <=> (~((~v139(constB163)) | (~v132(constB163)))))),
% 9.39/6.90 inference(quant_inst,[status(thm)],[])).
% 9.39/6.90 tff(25867,plain,
% 9.39/6.90 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB163) <=> (~((~v132(constB163)) | (~v139(constB163)))))),
% 9.39/6.90 inference(modus_ponens,[status(thm)],[25866, 25865])).
% 9.39/6.90 tff(25868,plain,
% 9.39/6.90 (v138(constB163) <=> (~((~v132(constB163)) | (~v139(constB163))))),
% 9.39/6.90 inference(unit_resolution,[status(thm)],[25867, 644])).
% 9.39/6.90 tff(25869,plain,
% 9.39/6.90 ((~![VarCurr: $i] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB163)) <=> v140(constB163))),
% 9.39/6.90 inference(quant_inst,[status(thm)],[])).
% 9.39/6.90 tff(25870,plain,
% 9.39/6.90 ((~v139(constB163)) <=> v140(constB163)),
% 9.39/6.90 inference(unit_resolution,[status(thm)],[25869, 203])).
% 9.39/6.90 tff(25871,plain,
% 9.39/6.90 ((~![VarCurr: $i] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB163) <=> (v141(constB163) | v26(constB163)))),
% 9.39/6.90 inference(quant_inst,[status(thm)],[])).
% 9.39/6.90 tff(25872,plain,
% 9.39/6.90 (v140(constB163) <=> (v141(constB163) | v26(constB163))),
% 9.39/6.90 inference(unit_resolution,[status(thm)],[25871, 212])).
% 9.39/6.90 tff(25873,plain,
% 9.39/6.90 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB163) <=> (~((~v39(constB163)) | (~v9(constB163)))))),
% 9.39/6.90 inference(quant_inst,[status(thm)],[])).
% 9.39/6.90 tff(25874,plain,
% 9.39/6.90 (v141(constB163) <=> (~((~v39(constB163)) | (~v9(constB163))))),
% 9.39/6.90 inference(unit_resolution,[status(thm)],[25873, 130])).
% 9.39/6.90 tff(25875,plain,
% 9.39/6.90 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB163, constB164)) | (v13(constB164) <=> v9(constB163)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB163, constB164)) | (v13(constB164) <=> v9(constB163)))),
% 9.39/6.90 inference(rewrite,[status(thm)],[])).
% 9.39/6.90 tff(25876,plain,
% 9.39/6.90 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB163, constB164)) | (v13(constB164) <=> v9(constB163)))),
% 9.39/6.90 inference(quant_inst,[status(thm)],[])).
% 9.39/6.90 tff(25877,plain,
% 9.39/6.90 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB163, constB164)) | (v13(constB164) <=> v9(constB163))),
% 9.39/6.90 inference(modus_ponens,[status(thm)],[25876, 25875])).
% 9.39/6.90 tff(25878,plain,
% 9.39/6.90 (v13(constB164) <=> v9(constB163)),
% 9.39/6.90 inference(unit_resolution,[status(thm)],[25877, 2280, 226])).
% 9.39/6.90 tff(25879,plain,
% 9.39/6.90 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB164) <=> v13(constB164))),
% 9.39/6.90 inference(quant_inst,[status(thm)],[])).
% 9.39/6.90 tff(25880,plain,
% 9.39/6.90 (v6(constB164) <=> v13(constB164)),
% 9.39/6.90 inference(unit_resolution,[status(thm)],[25879, 240])).
% 9.39/6.90 tff(25881,plain,
% 9.39/6.90 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB164)) <=> v6(constB164))),
% 9.39/6.90 inference(quant_inst,[status(thm)],[])).
% 9.39/6.90 tff(25882,plain,
% 9.39/6.90 ((~v21(constB164)) <=> v6(constB164)),
% 9.39/6.90 inference(unit_resolution,[status(thm)],[25881, 249])).
% 9.39/6.90 tff(25883,plain,
% 9.39/6.90 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB164) <=> (v20(constB164) | v21(constB164)))),
% 9.39/6.90 inference(quant_inst,[status(thm)],[])).
% 9.39/6.90 tff(25884,plain,
% 9.39/6.90 (v19(constB164) <=> (v20(constB164) | v21(constB164))),
% 9.39/6.90 inference(unit_resolution,[status(thm)],[25883, 258])).
% 9.39/6.90 tff(25885,plain,
% 9.39/6.90 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB164) <=> (~((~v19(constB164)) | (~v22(constB164)))))),
% 9.39/6.90 inference(quant_inst,[status(thm)],[])).
% 9.39/6.90 tff(25886,plain,
% 9.39/6.90 (v18(constB164) <=> (~((~v19(constB164)) | (~v22(constB164))))),
% 9.39/6.90 inference(unit_resolution,[status(thm)],[25885, 270])).
% 9.39/6.90 tff(25887,plain,
% 9.39/6.90 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB164)) <=> v18(constB164))),
% 9.39/6.90 inference(quant_inst,[status(thm)],[])).
% 9.39/6.90 tff(25888,plain,
% 9.39/6.90 ((~v4(constB164)) <=> v18(constB164)),
% 9.39/6.90 inference(unit_resolution,[status(thm)],[25887, 279])).
% 9.39/6.90 tff(25889,plain,
% 9.39/6.90 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB164)),
% 9.39/6.90 inference(quant_inst,[status(thm)],[])).
% 9.39/6.90 tff(25890,plain,
% 9.39/6.90 (v4(constB164)),
% 9.39/6.90 inference(unit_resolution,[status(thm)],[25889, 288])).
% 9.39/6.90 tff(25891,plain,
% 9.39/6.90 ((~((~v4(constB164)) <=> v18(constB164))) | (~v4(constB164)) | (~v18(constB164))),
% 9.39/6.90 inference(tautology,[status(thm)],[])).
% 9.39/6.90 tff(25892,plain,
% 9.39/6.90 (~v18(constB164)),
% 9.39/6.90 inference(unit_resolution,[status(thm)],[25891, 25890, 25888])).
% 9.39/6.90 tff(25893,plain,
% 9.39/6.90 ((~(v18(constB164) <=> (~((~v19(constB164)) | (~v22(constB164)))))) | v18(constB164) | ((~v19(constB164)) | (~v22(constB164)))),
% 9.39/6.90 inference(tautology,[status(thm)],[])).
% 9.39/6.90 tff(25894,plain,
% 9.39/6.90 ((~v19(constB164)) | (~v22(constB164))),
% 9.39/6.90 inference(unit_resolution,[status(thm)],[25893, 25892, 25886])).
% 9.39/6.90 tff(25895,plain,
% 9.39/6.90 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB164) <=> (v1(constB164) | v6(constB164)))),
% 9.39/6.90 inference(quant_inst,[status(thm)],[])).
% 9.39/6.90 tff(25896,plain,
% 9.39/6.90 (v22(constB164) <=> (v1(constB164) | v6(constB164))),
% 9.39/6.90 inference(unit_resolution,[status(thm)],[25895, 301])).
% 9.39/6.90 tff(25897,plain,
% 9.39/6.90 ((v1(constB164) | v6(constB164)) | (~v1(constB164))),
% 9.39/6.90 inference(tautology,[status(thm)],[])).
% 9.39/6.90 tff(25898,plain,
% 9.39/6.90 (v1(constB164) | v6(constB164)),
% 9.39/6.90 inference(unit_resolution,[status(thm)],[25897, 2310])).
% 9.39/6.90 tff(25899,plain,
% 9.39/6.90 ((~(v22(constB164) <=> (v1(constB164) | v6(constB164)))) | v22(constB164) | (~(v1(constB164) | v6(constB164)))),
% 9.39/6.90 inference(tautology,[status(thm)],[])).
% 9.39/6.90 tff(25900,plain,
% 9.39/6.90 ((~(v22(constB164) <=> (v1(constB164) | v6(constB164)))) | v22(constB164)),
% 9.39/6.90 inference(unit_resolution,[status(thm)],[25899, 25898])).
% 9.39/6.90 tff(25901,plain,
% 9.39/6.90 (v22(constB164)),
% 9.39/6.90 inference(unit_resolution,[status(thm)],[25900, 25896])).
% 9.39/6.90 tff(25902,plain,
% 9.39/6.90 ((~((~v19(constB164)) | (~v22(constB164)))) | (~v19(constB164)) | (~v22(constB164))),
% 9.39/6.90 inference(tautology,[status(thm)],[])).
% 9.39/6.90 tff(25903,plain,
% 9.39/6.90 ((~((~v19(constB164)) | (~v22(constB164)))) | (~v19(constB164))),
% 9.39/6.90 inference(unit_resolution,[status(thm)],[25902, 25901])).
% 9.39/6.90 tff(25904,plain,
% 9.39/6.90 (~v19(constB164)),
% 9.39/6.91 inference(unit_resolution,[status(thm)],[25903, 25894])).
% 9.39/6.91 tff(25905,plain,
% 9.39/6.91 ((~(v19(constB164) <=> (v20(constB164) | v21(constB164)))) | v19(constB164) | (~(v20(constB164) | v21(constB164)))),
% 9.39/6.91 inference(tautology,[status(thm)],[])).
% 9.39/6.91 tff(25906,plain,
% 9.39/6.91 (~(v20(constB164) | v21(constB164))),
% 9.39/6.91 inference(unit_resolution,[status(thm)],[25905, 25904, 25884])).
% 9.39/6.91 tff(25907,plain,
% 9.39/6.91 ((v20(constB164) | v21(constB164)) | (~v21(constB164))),
% 9.39/6.91 inference(tautology,[status(thm)],[])).
% 9.39/6.91 tff(25908,plain,
% 9.39/6.91 (~v21(constB164)),
% 9.39/6.91 inference(unit_resolution,[status(thm)],[25907, 25906])).
% 9.39/6.91 tff(25909,plain,
% 9.39/6.91 ((~((~v21(constB164)) <=> v6(constB164))) | v21(constB164) | v6(constB164)),
% 9.39/6.91 inference(tautology,[status(thm)],[])).
% 9.39/6.91 tff(25910,plain,
% 9.39/6.91 (v6(constB164)),
% 9.39/6.91 inference(unit_resolution,[status(thm)],[25909, 25908, 25882])).
% 9.39/6.91 tff(25911,plain,
% 9.39/6.91 ((~(v6(constB164) <=> v13(constB164))) | (~v6(constB164)) | v13(constB164)),
% 9.39/6.91 inference(tautology,[status(thm)],[])).
% 9.39/6.91 tff(25912,plain,
% 9.39/6.91 (v13(constB164)),
% 9.39/6.91 inference(unit_resolution,[status(thm)],[25911, 25910, 25880])).
% 9.39/6.91 tff(25913,plain,
% 9.39/6.91 ((~(v13(constB164) <=> v9(constB163))) | (~v13(constB164)) | v9(constB163)),
% 9.39/6.91 inference(tautology,[status(thm)],[])).
% 9.39/6.91 tff(25914,plain,
% 9.39/6.91 (v9(constB163)),
% 9.39/6.91 inference(unit_resolution,[status(thm)],[25913, 25912, 25878])).
% 9.39/6.91 tff(25915,plain,
% 9.39/6.91 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB163)) <=> v1(constB163))),
% 9.39/6.91 inference(quant_inst,[status(thm)],[])).
% 9.39/6.91 tff(25916,plain,
% 9.39/6.91 ((~v39(constB163)) <=> v1(constB163)),
% 9.39/6.91 inference(unit_resolution,[status(thm)],[25915, 139])).
% 9.39/6.91 tff(25917,plain,
% 9.39/6.91 ((~((~v39(constB163)) <=> v1(constB163))) | v39(constB163) | v1(constB163)),
% 9.39/6.91 inference(tautology,[status(thm)],[])).
% 9.39/6.91 tff(25918,plain,
% 9.39/6.91 ((~((~v39(constB163)) <=> v1(constB163))) | v39(constB163)),
% 9.39/6.91 inference(unit_resolution,[status(thm)],[25917, 2302])).
% 9.39/6.91 tff(25919,plain,
% 9.39/6.91 (v39(constB163)),
% 9.39/6.91 inference(unit_resolution,[status(thm)],[25918, 25916])).
% 9.39/6.91 tff(25920,plain,
% 9.39/6.91 ((~((~v39(constB163)) | (~v9(constB163)))) | (~v39(constB163)) | (~v9(constB163))),
% 9.39/6.91 inference(tautology,[status(thm)],[])).
% 9.39/6.91 tff(25921,plain,
% 9.39/6.91 ((~((~v39(constB163)) | (~v9(constB163)))) | (~v9(constB163))),
% 9.39/6.91 inference(unit_resolution,[status(thm)],[25920, 25919])).
% 9.39/6.91 tff(25922,plain,
% 9.39/6.91 (~((~v39(constB163)) | (~v9(constB163)))),
% 9.39/6.91 inference(unit_resolution,[status(thm)],[25921, 25914])).
% 9.39/6.91 tff(25923,plain,
% 9.39/6.91 ((~(v141(constB163) <=> (~((~v39(constB163)) | (~v9(constB163)))))) | v141(constB163) | ((~v39(constB163)) | (~v9(constB163)))),
% 9.39/6.91 inference(tautology,[status(thm)],[])).
% 9.39/6.91 tff(25924,plain,
% 9.39/6.91 (v141(constB163)),
% 9.39/6.91 inference(unit_resolution,[status(thm)],[25923, 25922, 25874])).
% 9.39/6.91 tff(25925,plain,
% 9.39/6.91 ((v141(constB163) | v26(constB163)) | (~v141(constB163))),
% 9.39/6.91 inference(tautology,[status(thm)],[])).
% 9.39/6.91 tff(25926,plain,
% 9.39/6.91 (v141(constB163) | v26(constB163)),
% 9.39/6.91 inference(unit_resolution,[status(thm)],[25925, 25924])).
% 9.39/6.91 tff(25927,plain,
% 9.39/6.91 ((~(v140(constB163) <=> (v141(constB163) | v26(constB163)))) | v140(constB163) | (~(v141(constB163) | v26(constB163)))),
% 9.39/6.91 inference(tautology,[status(thm)],[])).
% 9.39/6.91 tff(25928,plain,
% 9.39/6.91 (v140(constB163)),
% 9.39/6.91 inference(unit_resolution,[status(thm)],[25927, 25926, 25872])).
% 9.39/6.91 tff(25929,plain,
% 9.39/6.91 ((~((~v139(constB163)) <=> v140(constB163))) | (~v139(constB163)) | (~v140(constB163))),
% 9.39/6.91 inference(tautology,[status(thm)],[])).
% 9.39/6.91 tff(25930,plain,
% 9.39/6.91 (~v139(constB163)),
% 9.39/6.91 inference(unit_resolution,[status(thm)],[25929, 25928, 25870])).
% 9.39/6.91 tff(25931,plain,
% 9.39/6.91 (((~v132(constB163)) | (~v139(constB163))) | v139(constB163)),
% 9.39/6.91 inference(tautology,[status(thm)],[])).
% 9.39/6.91 tff(25932,plain,
% 9.39/6.91 ((~v132(constB163)) | (~v139(constB163))),
% 9.39/6.91 inference(unit_resolution,[status(thm)],[25931, 25930])).
% 9.39/6.91 tff(25933,plain,
% 9.39/6.91 ((~(v138(constB163) <=> (~((~v132(constB163)) | (~v139(constB163)))))) | (~v138(constB163)) | (~((~v132(constB163)) | (~v139(constB163))))),
% 9.39/6.91 inference(tautology,[status(thm)],[])).
% 9.39/6.91 tff(25934,plain,
% 9.39/6.91 (~v138(constB163)),
% 9.39/6.91 inference(unit_resolution,[status(thm)],[25933, 25932, 25868])).
% 9.39/6.91 tff(25935,plain,
% 9.39/6.91 ((~![VarCurr: $i] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB163) <=> (~((~v143(constB163)) | (~v144(constB163)))))),
% 9.39/6.91 inference(quant_inst,[status(thm)],[])).
% 9.39/6.91 tff(25936,plain,
% 9.39/6.91 (v142(constB163) <=> (~((~v143(constB163)) | (~v144(constB163))))),
% 9.39/6.91 inference(unit_resolution,[status(thm)],[25935, 596])).
% 9.39/6.91 tff(25937,plain,
% 9.39/6.91 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB163) <=> (~((~v141(constB163)) | (~v145(constB163)))))),
% 9.39/6.91 inference(quant_inst,[status(thm)],[])).
% 9.39/6.91 tff(25938,plain,
% 9.39/6.91 (v144(constB163) <=> (~((~v141(constB163)) | (~v145(constB163))))),
% 9.39/6.91 inference(unit_resolution,[status(thm)],[25937, 608])).
% 9.39/6.91 tff(25939,plain,
% 9.39/6.91 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB163) <=> (~(v84(constB163, bitIndex2) | v84(constB163, bitIndex1) | (~v84(constB163, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB163) <=> (~(v84(constB163, bitIndex2) | v84(constB163, bitIndex1) | (~v84(constB163, bitIndex0))))))),
% 9.39/6.91 inference(rewrite,[status(thm)],[])).
% 9.39/6.91 tff(25940,plain,
% 9.39/6.91 ((v145(constB163) <=> (~(v84(constB163, bitIndex1) | v84(constB163, bitIndex2) | (~v84(constB163, bitIndex0))))) <=> (v145(constB163) <=> (~(v84(constB163, bitIndex2) | v84(constB163, bitIndex1) | (~v84(constB163, bitIndex0)))))),
% 9.39/6.91 inference(rewrite,[status(thm)],[])).
% 9.39/6.91 tff(25941,plain,
% 9.39/6.91 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB163) <=> (~(v84(constB163, bitIndex1) | v84(constB163, bitIndex2) | (~v84(constB163, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB163) <=> (~(v84(constB163, bitIndex2) | v84(constB163, bitIndex1) | (~v84(constB163, bitIndex0))))))),
% 9.39/6.91 inference(monotonicity,[status(thm)],[25940])).
% 9.39/6.91 tff(25942,plain,
% 9.39/6.91 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB163) <=> (~(v84(constB163, bitIndex1) | v84(constB163, bitIndex2) | (~v84(constB163, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB163) <=> (~(v84(constB163, bitIndex2) | v84(constB163, bitIndex1) | (~v84(constB163, bitIndex0))))))),
% 9.39/6.91 inference(transitivity,[status(thm)],[25941, 25939])).
% 9.39/6.91 tff(25943,plain,
% 9.39/6.91 ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB163) <=> (~(v84(constB163, bitIndex1) | v84(constB163, bitIndex2) | (~v84(constB163, bitIndex0)))))),
% 9.39/6.91 inference(quant_inst,[status(thm)],[])).
% 9.39/6.91 tff(25944,plain,
% 9.39/6.91 ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB163) <=> (~(v84(constB163, bitIndex2) | v84(constB163, bitIndex1) | (~v84(constB163, bitIndex0)))))),
% 9.39/6.91 inference(modus_ponens,[status(thm)],[25943, 25942])).
% 9.39/6.91 tff(25945,plain,
% 9.39/6.91 (v145(constB163) <=> (~(v84(constB163, bitIndex2) | v84(constB163, bitIndex1) | (~v84(constB163, bitIndex0))))),
% 9.39/6.91 inference(unit_resolution,[status(thm)],[25944, 755])).
% 9.39/6.91 tff(25946,plain,
% 9.39/6.91 ((v84(constB163, bitIndex2) | v84(constB163, bitIndex1) | (~v84(constB163, bitIndex0))) | (~v84(constB163, bitIndex1))),
% 9.39/6.91 inference(tautology,[status(thm)],[])).
% 9.39/6.91 tff(25947,plain,
% 9.39/6.91 (v84(constB163, bitIndex2) | v84(constB163, bitIndex1) | (~v84(constB163, bitIndex0))),
% 9.39/6.91 inference(unit_resolution,[status(thm)],[25946, 23125])).
% 9.39/6.91 tff(25948,plain,
% 9.39/6.91 ((~(v145(constB163) <=> (~(v84(constB163, bitIndex2) | v84(constB163, bitIndex1) | (~v84(constB163, bitIndex0)))))) | (~v145(constB163)) | (~(v84(constB163, bitIndex2) | v84(constB163, bitIndex1) | (~v84(constB163, bitIndex0))))),
% 9.39/6.91 inference(tautology,[status(thm)],[])).
% 9.39/6.91 tff(25949,plain,
% 9.39/6.91 (~v145(constB163)),
% 9.39/6.91 inference(unit_resolution,[status(thm)],[25948, 25947, 25945])).
% 9.39/6.91 tff(25950,plain,
% 9.39/6.91 (((~v141(constB163)) | (~v145(constB163))) | v145(constB163)),
% 9.39/6.91 inference(tautology,[status(thm)],[])).
% 9.39/6.91 tff(25951,plain,
% 9.39/6.91 ((~v141(constB163)) | (~v145(constB163))),
% 9.39/6.91 inference(unit_resolution,[status(thm)],[25950, 25949])).
% 9.39/6.91 tff(25952,plain,
% 9.39/6.91 ((~(v144(constB163) <=> (~((~v141(constB163)) | (~v145(constB163)))))) | (~v144(constB163)) | (~((~v141(constB163)) | (~v145(constB163))))),
% 9.39/6.91 inference(tautology,[status(thm)],[])).
% 9.39/6.91 tff(25953,plain,
% 9.39/6.91 (~v144(constB163)),
% 9.39/6.91 inference(unit_resolution,[status(thm)],[25952, 25951, 25938])).
% 9.39/6.91 tff(25954,plain,
% 9.39/6.91 (((~v143(constB163)) | (~v144(constB163))) | v144(constB163)),
% 9.39/6.91 inference(tautology,[status(thm)],[])).
% 9.39/6.91 tff(25955,plain,
% 9.39/6.91 ((~v143(constB163)) | (~v144(constB163))),
% 9.39/6.91 inference(unit_resolution,[status(thm)],[25954, 25953])).
% 9.39/6.91 tff(25956,plain,
% 9.39/6.91 ((~(v142(constB163) <=> (~((~v143(constB163)) | (~v144(constB163)))))) | (~v142(constB163)) | (~((~v143(constB163)) | (~v144(constB163))))),
% 9.39/6.91 inference(tautology,[status(thm)],[])).
% 9.39/6.91 tff(25957,plain,
% 9.39/6.91 (~v142(constB163)),
% 9.39/6.91 inference(unit_resolution,[status(thm)],[25956, 25955, 25936])).
% 9.39/6.91 tff(25958,plain,
% 9.39/6.91 ((~(v138(constB163) | v142(constB163))) | v138(constB163) | v142(constB163)),
% 9.39/6.91 inference(tautology,[status(thm)],[])).
% 9.39/6.91 tff(25959,plain,
% 9.39/6.91 (~(v138(constB163) | v142(constB163))),
% 9.39/6.91 inference(unit_resolution,[status(thm)],[25958, 25957, 25934])).
% 9.39/6.91 tff(25960,plain,
% 9.39/6.91 ((~(v135(constB163) <=> (v138(constB163) | v142(constB163)))) | (~v135(constB163)) | (v138(constB163) | v142(constB163))),
% 9.39/6.91 inference(tautology,[status(thm)],[])).
% 9.39/6.91 tff(25961,plain,
% 9.39/6.91 (~v135(constB163)),
% 9.39/6.91 inference(unit_resolution,[status(thm)],[25960, 25959, 25861])).
% 9.39/6.91 tff(25962,plain,
% 9.39/6.91 ((~(v137(constB164) <=> v135(constB163))) | (~v137(constB164)) | v135(constB163)),
% 9.39/6.91 inference(tautology,[status(thm)],[])).
% 9.39/6.91 tff(25963,plain,
% 9.39/6.91 (~v137(constB164)),
% 9.39/6.91 inference(unit_resolution,[status(thm)],[25962, 25961, 25859])).
% 9.39/6.91 tff(25964,plain,
% 9.39/6.91 ((~(v132(constB164) <=> v137(constB164))) | (~v132(constB164)) | v137(constB164)),
% 9.39/6.91 inference(tautology,[status(thm)],[])).
% 9.39/6.91 tff(25965,plain,
% 9.39/6.91 (~v132(constB164)),
% 9.39/6.91 inference(unit_resolution,[status(thm)],[25964, 25963, 25855])).
% 9.39/6.91 tff(25966,plain,
% 9.39/6.91 (((~v132(constB164)) | (~v139(constB164))) | v132(constB164)),
% 9.39/6.91 inference(tautology,[status(thm)],[])).
% 9.39/6.91 tff(25967,plain,
% 9.39/6.91 ((~v132(constB164)) | (~v139(constB164))),
% 9.39/6.91 inference(unit_resolution,[status(thm)],[25966, 25965])).
% 9.39/6.91 tff(25968,plain,
% 9.39/6.91 ((~(v138(constB164) <=> (~((~v132(constB164)) | (~v139(constB164)))))) | (~v138(constB164)) | (~((~v132(constB164)) | (~v139(constB164))))),
% 9.39/6.91 inference(tautology,[status(thm)],[])).
% 9.39/6.91 tff(25969,plain,
% 9.39/6.91 (~v138(constB164)),
% 9.39/6.91 inference(unit_resolution,[status(thm)],[25968, 25967, 25853])).
% 9.39/6.91 tff(25970,plain,
% 9.39/6.91 ((~(v138(constB164) | v142(constB164))) | v138(constB164) | v142(constB164)),
% 9.39/6.91 inference(tautology,[status(thm)],[])).
% 9.39/6.91 tff(25971,plain,
% 9.39/6.91 (~(v138(constB164) | v142(constB164))),
% 9.39/6.91 inference(unit_resolution,[status(thm)],[25970, 25969, 25846])).
% 9.39/6.91 tff(25972,plain,
% 9.39/6.91 ((~(v135(constB164) <=> (v138(constB164) | v142(constB164)))) | (~v135(constB164)) | (v138(constB164) | v142(constB164))),
% 9.39/6.91 inference(tautology,[status(thm)],[])).
% 9.39/6.91 tff(25973,plain,
% 9.39/6.91 (~v135(constB164)),
% 9.39/6.91 inference(unit_resolution,[status(thm)],[25972, 25971, 25821])).
% 9.39/6.91 tff(25974,plain,
% 9.39/6.91 ((~(v137(constB165) <=> v135(constB164))) | (~v137(constB165)) | v135(constB164)),
% 9.39/6.91 inference(tautology,[status(thm)],[])).
% 9.39/6.91 tff(25975,plain,
% 9.39/6.91 (~v137(constB165)),
% 9.39/6.91 inference(unit_resolution,[status(thm)],[25974, 25973, 25819])).
% 9.39/6.91 tff(25976,plain,
% 9.39/6.91 ((~(v132(constB165) <=> v137(constB165))) | (~v132(constB165)) | v137(constB165)),
% 9.39/6.91 inference(tautology,[status(thm)],[])).
% 9.39/6.91 tff(25977,plain,
% 9.39/6.91 (~v132(constB165)),
% 9.39/6.91 inference(unit_resolution,[status(thm)],[25976, 25975, 25815])).
% 9.39/6.91 tff(25978,plain,
% 9.39/6.91 (((~v132(constB165)) | (~v154(constB165))) | v132(constB165)),
% 9.39/6.91 inference(tautology,[status(thm)],[])).
% 9.39/6.91 tff(25979,plain,
% 9.39/6.91 ((~v132(constB165)) | (~v154(constB165))),
% 9.39/6.91 inference(unit_resolution,[status(thm)],[25978, 25977])).
% 9.39/6.91 tff(25980,plain,
% 9.39/6.91 ((~(v153(constB165) <=> (~((~v132(constB165)) | (~v154(constB165)))))) | (~v153(constB165)) | (~((~v132(constB165)) | (~v154(constB165))))),
% 9.39/6.91 inference(tautology,[status(thm)],[])).
% 9.39/6.91 tff(25981,plain,
% 9.39/6.91 (~v153(constB165)),
% 9.39/6.91 inference(unit_resolution,[status(thm)],[25980, 25979, 25813])).
% 9.39/6.91 tff(25982,plain,
% 9.39/6.91 ((~(v153(constB165) | v155(constB165))) | v153(constB165) | v155(constB165)),
% 9.39/6.91 inference(tautology,[status(thm)],[])).
% 9.39/6.91 tff(25983,plain,
% 9.39/6.91 (~(v153(constB165) | v155(constB165))),
% 9.39/6.91 inference(unit_resolution,[status(thm)],[25982, 25981, 25806])).
% 9.39/6.91 tff(25984,plain,
% 9.39/6.91 ((~(v150(constB165) <=> (v153(constB165) | v155(constB165)))) | (~v150(constB165)) | (v153(constB165) | v155(constB165))),
% 9.39/6.91 inference(tautology,[status(thm)],[])).
% 9.39/6.91 tff(25985,plain,
% 9.39/6.91 (~v150(constB165)),
% 9.39/6.91 inference(unit_resolution,[status(thm)],[25984, 25983, 25733])).
% 9.39/6.91 tff(25986,plain,
% 9.39/6.91 ((~(v152(constB166) <=> v150(constB165))) | (~v152(constB166)) | v150(constB165)),
% 9.39/6.91 inference(tautology,[status(thm)],[])).
% 9.39/6.91 tff(25987,plain,
% 9.39/6.91 (~v152(constB166)),
% 9.39/6.91 inference(unit_resolution,[status(thm)],[25986, 25985, 25731])).
% 9.39/6.91 tff(25988,plain,
% 9.39/6.91 ((~(v130(constB166) <=> v152(constB166))) | (~v130(constB166)) | v152(constB166)),
% 9.39/6.91 inference(tautology,[status(thm)],[])).
% 9.39/6.91 tff(25989,plain,
% 9.39/6.91 (~v130(constB166)),
% 9.39/6.91 inference(unit_resolution,[status(thm)],[25988, 25987, 25727])).
% 9.39/6.91 tff(25990,plain,
% 9.39/6.91 (((~v130(constB166)) | (~v139(constB166))) | v130(constB166)),
% 9.39/6.91 inference(tautology,[status(thm)],[])).
% 9.39/6.91 tff(25991,plain,
% 9.39/6.91 ((~v130(constB166)) | (~v139(constB166))),
% 9.39/6.91 inference(unit_resolution,[status(thm)],[25990, 25989])).
% 9.39/6.91 tff(25992,plain,
% 9.39/6.91 ((~(v155(constB166) <=> (~((~v130(constB166)) | (~v139(constB166)))))) | (~v155(constB166)) | (~((~v130(constB166)) | (~v139(constB166))))),
% 9.39/6.91 inference(tautology,[status(thm)],[])).
% 9.39/6.91 tff(25993,plain,
% 9.39/6.91 (~v155(constB166)),
% 9.39/6.91 inference(unit_resolution,[status(thm)],[25992, 25991, 25725])).
% 9.39/6.91 tff(25994,plain,
% 9.39/6.91 ((~(v153(constB166) | v155(constB166))) | v153(constB166) | v155(constB166)),
% 9.39/6.91 inference(tautology,[status(thm)],[])).
% 9.39/6.91 tff(25995,plain,
% 9.39/6.91 (~(v153(constB166) | v155(constB166))),
% 9.39/6.91 inference(unit_resolution,[status(thm)],[25994, 25993, 25718])).
% 9.39/6.91 tff(25996,plain,
% 9.39/6.91 ((~(v150(constB166) <=> (v153(constB166) | v155(constB166)))) | (~v150(constB166)) | (v153(constB166) | v155(constB166))),
% 9.39/6.91 inference(tautology,[status(thm)],[])).
% 9.39/6.91 tff(25997,plain,
% 9.39/6.91 (~v150(constB166)),
% 9.39/6.91 inference(unit_resolution,[status(thm)],[25996, 25995, 25683])).
% 9.39/6.91 tff(25998,plain,
% 9.39/6.91 ((~(v152(constB167) <=> v150(constB166))) | (~v152(constB167)) | v150(constB166)),
% 9.39/6.91 inference(tautology,[status(thm)],[])).
% 9.39/6.91 tff(25999,plain,
% 9.39/6.91 (~v152(constB167)),
% 9.39/6.91 inference(unit_resolution,[status(thm)],[25998, 25997, 25681])).
% 9.39/6.91 tff(26000,plain,
% 9.39/6.91 ((~(v130(constB167) <=> v152(constB167))) | (~v130(constB167)) | v152(constB167)),
% 9.39/6.91 inference(tautology,[status(thm)],[])).
% 9.39/6.91 tff(26001,plain,
% 9.39/6.91 (~v130(constB167)),
% 9.39/6.91 inference(unit_resolution,[status(thm)],[26000, 25999, 25677])).
% 9.39/6.91 tff(26002,plain,
% 9.39/6.91 (((~v130(constB167)) | (~v154(constB167))) | v130(constB167)),
% 9.39/6.91 inference(tautology,[status(thm)],[])).
% 9.39/6.91 tff(26003,plain,
% 9.39/6.91 ((~v130(constB167)) | (~v154(constB167))),
% 9.39/6.91 inference(unit_resolution,[status(thm)],[26002, 26001])).
% 9.39/6.91 tff(26004,plain,
% 9.39/6.91 ((~(v164(constB167) <=> (~((~v130(constB167)) | (~v154(constB167)))))) | (~v164(constB167)) | (~((~v130(constB167)) | (~v154(constB167))))),
% 9.39/6.91 inference(tautology,[status(thm)],[])).
% 9.39/6.91 tff(26005,plain,
% 9.39/6.91 (~v164(constB167)),
% 9.39/6.91 inference(unit_resolution,[status(thm)],[26004, 26003, 25675])).
% 9.39/6.91 tff(26006,plain,
% 9.39/6.91 ((~(v163(constB167) | v164(constB167))) | v163(constB167) | v164(constB167)),
% 9.39/6.91 inference(tautology,[status(thm)],[])).
% 9.39/6.91 tff(26007,plain,
% 9.39/6.91 (~(v163(constB167) | v164(constB167))),
% 9.39/6.91 inference(unit_resolution,[status(thm)],[26006, 26005, 25668])).
% 9.39/6.91 tff(26008,plain,
% 9.39/6.91 ((~(v160(constB167) <=> (v163(constB167) | v164(constB167)))) | (~v160(constB167)) | (v163(constB167) | v164(constB167))),
% 9.39/6.91 inference(tautology,[status(thm)],[])).
% 9.39/6.91 tff(26009,plain,
% 9.39/6.91 (~v160(constB167)),
% 9.39/6.91 inference(unit_resolution,[status(thm)],[26008, 26007, 25595])).
% 9.39/6.91 tff(26010,plain,
% 9.39/6.91 ((~(v162(constB168) <=> v160(constB167))) | (~v162(constB168)) | v160(constB167)),
% 9.39/6.91 inference(tautology,[status(thm)],[])).
% 9.39/6.91 tff(26011,plain,
% 9.39/6.91 (~v162(constB168)),
% 9.39/6.91 inference(unit_resolution,[status(thm)],[26010, 26009, 25593])).
% 9.39/6.91 tff(26012,plain,
% 9.39/6.91 ((~(v128(constB168) <=> v162(constB168))) | (~v128(constB168)) | v162(constB168)),
% 9.39/6.91 inference(tautology,[status(thm)],[])).
% 9.39/6.91 tff(26013,plain,
% 9.39/6.91 (~v128(constB168)),
% 9.39/6.91 inference(unit_resolution,[status(thm)],[26012, 26011, 25589])).
% 9.39/6.91 tff(26014,plain,
% 9.39/6.91 (((~v128(constB168)) | (~v139(constB168))) | v128(constB168)),
% 9.39/6.91 inference(tautology,[status(thm)],[])).
% 9.39/6.91 tff(26015,plain,
% 9.39/6.91 ((~v128(constB168)) | (~v139(constB168))),
% 9.39/6.91 inference(unit_resolution,[status(thm)],[26014, 26013])).
% 9.39/6.91 tff(26016,plain,
% 9.39/6.91 ((~(v163(constB168) <=> (~((~v128(constB168)) | (~v139(constB168)))))) | (~v163(constB168)) | (~((~v128(constB168)) | (~v139(constB168))))),
% 9.39/6.91 inference(tautology,[status(thm)],[])).
% 9.39/6.91 tff(26017,plain,
% 9.39/6.91 (~v163(constB168)),
% 9.39/6.91 inference(unit_resolution,[status(thm)],[26016, 26015, 25587])).
% 9.39/6.91 tff(26018,plain,
% 9.39/6.91 ((~(v163(constB168) | v164(constB168))) | v163(constB168) | v164(constB168)),
% 9.39/6.91 inference(tautology,[status(thm)],[])).
% 9.39/6.91 tff(26019,plain,
% 9.39/6.91 (~(v163(constB168) | v164(constB168))),
% 9.39/6.91 inference(unit_resolution,[status(thm)],[26018, 26017, 25580])).
% 9.39/6.91 tff(26020,plain,
% 9.39/6.91 ((~(v160(constB168) <=> (v163(constB168) | v164(constB168)))) | (~v160(constB168)) | (v163(constB168) | v164(constB168))),
% 9.39/6.91 inference(tautology,[status(thm)],[])).
% 9.39/6.91 tff(26021,plain,
% 9.39/6.91 (~v160(constB168)),
% 9.39/6.91 inference(unit_resolution,[status(thm)],[26020, 26019, 25545])).
% 9.39/6.91 tff(26022,plain,
% 9.39/6.91 ((~(v162(constB169) <=> v160(constB168))) | (~v162(constB169)) | v160(constB168)),
% 9.39/6.91 inference(tautology,[status(thm)],[])).
% 9.39/6.91 tff(26023,plain,
% 9.39/6.91 (~v162(constB169)),
% 9.39/6.91 inference(unit_resolution,[status(thm)],[26022, 26021, 25543])).
% 9.39/6.91 tff(26024,plain,
% 9.39/6.91 ($false),
% 9.39/6.91 inference(unit_resolution,[status(thm)],[26023, 25539])).
% 9.39/6.91 tff(26025,plain,(~(constB169 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.39/6.91 tff(26026,assumption,(constB93 = VarCurr!0), introduced(assumption)).
% 9.39/6.91 tff(26027,plain,
% 9.39/6.91 (v170(constB93) <=> v170(VarCurr!0)),
% 9.39/6.91 inference(monotonicity,[status(thm)],[26026])).
% 9.39/6.91 tff(26028,plain,
% 9.39/6.91 (v170(VarCurr!0) <=> v170(constB93)),
% 9.39/6.91 inference(symmetry,[status(thm)],[26027])).
% 9.39/6.91 tff(26029,plain,
% 9.39/6.91 (^[VarCurr: $i] : refl((v169(VarCurr) <=> (~((~v143(VarCurr)) | (~v170(VarCurr))))) <=> (v169(VarCurr) <=> (~((~v143(VarCurr)) | (~v170(VarCurr))))))),
% 9.39/6.91 inference(bind,[status(th)],[])).
% 9.39/6.91 tff(26030,plain,
% 9.39/6.91 (![VarCurr: $i] : (v169(VarCurr) <=> (~((~v143(VarCurr)) | (~v170(VarCurr))))) <=> ![VarCurr: $i] : (v169(VarCurr) <=> (~((~v143(VarCurr)) | (~v170(VarCurr)))))),
% 9.39/6.91 inference(quant_intro,[status(thm)],[26029])).
% 9.39/6.91 tff(26031,plain,
% 9.39/6.91 (^[VarCurr: $i] : rewrite((v169(VarCurr) <=> (v143(VarCurr) & v170(VarCurr))) <=> (v169(VarCurr) <=> (~((~v143(VarCurr)) | (~v170(VarCurr))))))),
% 9.39/6.91 inference(bind,[status(th)],[])).
% 9.39/6.91 tff(26032,plain,
% 9.39/6.91 (![VarCurr: $i] : (v169(VarCurr) <=> (v143(VarCurr) & v170(VarCurr))) <=> ![VarCurr: $i] : (v169(VarCurr) <=> (~((~v143(VarCurr)) | (~v170(VarCurr)))))),
% 9.39/6.91 inference(quant_intro,[status(thm)],[26031])).
% 9.39/6.91 tff(26033,plain,
% 9.39/6.91 (![VarCurr: $i] : (v169(VarCurr) <=> (v143(VarCurr) & v170(VarCurr))) <=> ![VarCurr: $i] : (v169(VarCurr) <=> (v143(VarCurr) & v170(VarCurr)))),
% 9.39/6.91 inference(rewrite,[status(thm)],[])).
% 9.39/6.91 tff(26034,axiom,(![VarCurr: $i] : (v169(VarCurr) <=> (v143(VarCurr) & v170(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_42')).
% 9.39/6.91 tff(26035,plain,
% 9.39/6.91 (![VarCurr: $i] : (v169(VarCurr) <=> (v143(VarCurr) & v170(VarCurr)))),
% 9.39/6.91 inference(modus_ponens,[status(thm)],[26034, 26033])).
% 9.39/6.91 tff(26036,plain,(
% 9.39/6.91 ![VarCurr: $i] : (v169(VarCurr) <=> (v143(VarCurr) & v170(VarCurr)))),
% 9.39/6.91 inference(skolemize,[status(sab)],[26035])).
% 9.39/6.91 tff(26037,plain,
% 9.39/6.91 (![VarCurr: $i] : (v169(VarCurr) <=> (~((~v143(VarCurr)) | (~v170(VarCurr)))))),
% 9.39/6.91 inference(modus_ponens,[status(thm)],[26036, 26032])).
% 9.39/6.91 tff(26038,plain,
% 9.39/6.91 (![VarCurr: $i] : (v169(VarCurr) <=> (~((~v143(VarCurr)) | (~v170(VarCurr)))))),
% 9.39/6.91 inference(modus_ponens,[status(thm)],[26037, 26030])).
% 9.39/6.91 tff(26039,plain,
% 9.39/6.91 ((~![VarCurr: $i] : (v169(VarCurr) <=> (~((~v143(VarCurr)) | (~v170(VarCurr)))))) | (v169(VarCurr!0) <=> (~((~v143(VarCurr!0)) | (~v170(VarCurr!0)))))),
% 9.39/6.91 inference(quant_inst,[status(thm)],[])).
% 9.39/6.91 tff(26040,plain,
% 9.39/6.91 (v169(VarCurr!0) <=> (~((~v143(VarCurr!0)) | (~v170(VarCurr!0))))),
% 9.39/6.91 inference(unit_resolution,[status(thm)],[26039, 26038])).
% 9.39/6.91 tff(26041,plain,
% 9.39/6.91 (((~v169(VarCurr!0)) | (~v128(VarCurr!0))) | v169(VarCurr!0)),
% 9.39/6.91 inference(tautology,[status(thm)],[])).
% 9.39/6.91 tff(26042,plain,
% 9.39/6.91 (v169(VarCurr!0)),
% 9.39/6.91 inference(unit_resolution,[status(thm)],[26041, 54])).
% 9.39/6.91 tff(26043,plain,
% 9.39/6.91 ((~(v169(VarCurr!0) <=> (~((~v143(VarCurr!0)) | (~v170(VarCurr!0)))))) | (~v169(VarCurr!0)) | (~((~v143(VarCurr!0)) | (~v170(VarCurr!0))))),
% 9.39/6.91 inference(tautology,[status(thm)],[])).
% 9.39/6.91 tff(26044,plain,
% 9.39/6.91 ((~(v169(VarCurr!0) <=> (~((~v143(VarCurr!0)) | (~v170(VarCurr!0)))))) | (~((~v143(VarCurr!0)) | (~v170(VarCurr!0))))),
% 9.39/6.91 inference(unit_resolution,[status(thm)],[26043, 26042])).
% 9.39/6.91 tff(26045,plain,
% 9.39/6.91 (~((~v143(VarCurr!0)) | (~v170(VarCurr!0)))),
% 9.39/6.91 inference(unit_resolution,[status(thm)],[26044, 26040])).
% 9.39/6.91 tff(26046,plain,
% 9.39/6.91 (((~v143(VarCurr!0)) | (~v170(VarCurr!0))) | v170(VarCurr!0)),
% 9.39/6.91 inference(tautology,[status(thm)],[])).
% 9.39/6.91 tff(26047,plain,
% 9.39/6.91 (v170(VarCurr!0)),
% 9.39/6.91 inference(unit_resolution,[status(thm)],[26046, 26045])).
% 9.39/6.91 tff(26048,plain,
% 9.39/6.91 (v170(constB93)),
% 9.39/6.91 inference(modus_ponens,[status(thm)],[26047, 26028])).
% 9.39/6.91 tff(26049,plain,
% 9.39/6.91 (^[VarCurr: $i] : refl((v170(VarCurr) <=> (~((~v171(VarCurr)) | (~v141(VarCurr))))) <=> (v170(VarCurr) <=> (~((~v171(VarCurr)) | (~v141(VarCurr))))))),
% 9.39/6.91 inference(bind,[status(th)],[])).
% 9.39/6.91 tff(26050,plain,
% 9.39/6.91 (![VarCurr: $i] : (v170(VarCurr) <=> (~((~v171(VarCurr)) | (~v141(VarCurr))))) <=> ![VarCurr: $i] : (v170(VarCurr) <=> (~((~v171(VarCurr)) | (~v141(VarCurr)))))),
% 9.39/6.91 inference(quant_intro,[status(thm)],[26049])).
% 9.39/6.91 tff(26051,plain,
% 9.39/6.91 (^[VarCurr: $i] : rewrite((v170(VarCurr) <=> (v171(VarCurr) & v141(VarCurr))) <=> (v170(VarCurr) <=> (~((~v171(VarCurr)) | (~v141(VarCurr))))))),
% 9.39/6.91 inference(bind,[status(th)],[])).
% 9.39/6.91 tff(26052,plain,
% 9.39/6.91 (![VarCurr: $i] : (v170(VarCurr) <=> (v171(VarCurr) & v141(VarCurr))) <=> ![VarCurr: $i] : (v170(VarCurr) <=> (~((~v171(VarCurr)) | (~v141(VarCurr)))))),
% 9.39/6.91 inference(quant_intro,[status(thm)],[26051])).
% 9.39/6.91 tff(26053,plain,
% 9.39/6.91 (![VarCurr: $i] : (v170(VarCurr) <=> (v171(VarCurr) & v141(VarCurr))) <=> ![VarCurr: $i] : (v170(VarCurr) <=> (v171(VarCurr) & v141(VarCurr)))),
% 9.39/6.91 inference(rewrite,[status(thm)],[])).
% 9.39/6.91 tff(26054,axiom,(![VarCurr: $i] : (v170(VarCurr) <=> (v171(VarCurr) & v141(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_41')).
% 9.39/6.91 tff(26055,plain,
% 9.39/6.91 (![VarCurr: $i] : (v170(VarCurr) <=> (v171(VarCurr) & v141(VarCurr)))),
% 9.39/6.91 inference(modus_ponens,[status(thm)],[26054, 26053])).
% 9.39/6.91 tff(26056,plain,(
% 9.39/6.91 ![VarCurr: $i] : (v170(VarCurr) <=> (v171(VarCurr) & v141(VarCurr)))),
% 9.39/6.91 inference(skolemize,[status(sab)],[26055])).
% 9.39/6.91 tff(26057,plain,
% 9.39/6.91 (![VarCurr: $i] : (v170(VarCurr) <=> (~((~v171(VarCurr)) | (~v141(VarCurr)))))),
% 9.39/6.91 inference(modus_ponens,[status(thm)],[26056, 26052])).
% 9.39/6.91 tff(26058,plain,
% 9.39/6.91 (![VarCurr: $i] : (v170(VarCurr) <=> (~((~v171(VarCurr)) | (~v141(VarCurr)))))),
% 9.39/6.91 inference(modus_ponens,[status(thm)],[26057, 26050])).
% 9.39/6.91 tff(26059,plain,
% 9.39/6.91 (((~![VarCurr: $i] : (v170(VarCurr) <=> (~((~v171(VarCurr)) | (~v141(VarCurr)))))) | (v170(constB93) <=> (~((~v141(constB93)) | (~v171(constB93)))))) <=> ((~![VarCurr: $i] : (v170(VarCurr) <=> (~((~v171(VarCurr)) | (~v141(VarCurr)))))) | (v170(constB93) <=> (~((~v141(constB93)) | (~v171(constB93))))))),
% 9.39/6.91 inference(rewrite,[status(thm)],[])).
% 9.39/6.91 tff(26060,plain,
% 9.39/6.91 ((v170(constB93) <=> (~((~v171(constB93)) | (~v141(constB93))))) <=> (v170(constB93) <=> (~((~v141(constB93)) | (~v171(constB93)))))),
% 9.39/6.91 inference(rewrite,[status(thm)],[])).
% 9.39/6.91 tff(26061,plain,
% 9.39/6.91 (((~![VarCurr: $i] : (v170(VarCurr) <=> (~((~v171(VarCurr)) | (~v141(VarCurr)))))) | (v170(constB93) <=> (~((~v171(constB93)) | (~v141(constB93)))))) <=> ((~![VarCurr: $i] : (v170(VarCurr) <=> (~((~v171(VarCurr)) | (~v141(VarCurr)))))) | (v170(constB93) <=> (~((~v141(constB93)) | (~v171(constB93))))))),
% 9.39/6.91 inference(monotonicity,[status(thm)],[26060])).
% 9.39/6.91 tff(26062,plain,
% 9.39/6.91 (((~![VarCurr: $i] : (v170(VarCurr) <=> (~((~v171(VarCurr)) | (~v141(VarCurr)))))) | (v170(constB93) <=> (~((~v171(constB93)) | (~v141(constB93)))))) <=> ((~![VarCurr: $i] : (v170(VarCurr) <=> (~((~v171(VarCurr)) | (~v141(VarCurr)))))) | (v170(constB93) <=> (~((~v141(constB93)) | (~v171(constB93))))))),
% 9.39/6.91 inference(transitivity,[status(thm)],[26061, 26059])).
% 9.39/6.91 tff(26063,plain,
% 9.39/6.91 ((~![VarCurr: $i] : (v170(VarCurr) <=> (~((~v171(VarCurr)) | (~v141(VarCurr)))))) | (v170(constB93) <=> (~((~v171(constB93)) | (~v141(constB93)))))),
% 9.39/6.91 inference(quant_inst,[status(thm)],[])).
% 9.39/6.91 tff(26064,plain,
% 9.39/6.91 ((~![VarCurr: $i] : (v170(VarCurr) <=> (~((~v171(VarCurr)) | (~v141(VarCurr)))))) | (v170(constB93) <=> (~((~v141(constB93)) | (~v171(constB93)))))),
% 9.39/6.91 inference(modus_ponens,[status(thm)],[26063, 26062])).
% 9.39/6.91 tff(26065,plain,
% 9.39/6.91 (v170(constB93) <=> (~((~v141(constB93)) | (~v171(constB93))))),
% 9.39/6.91 inference(unit_resolution,[status(thm)],[26064, 26058])).
% 9.39/6.91 tff(26066,plain,
% 9.39/6.91 (^[VarCurr: $i] : refl(((~v171(VarCurr)) <=> v172(VarCurr)) <=> ((~v171(VarCurr)) <=> v172(VarCurr)))),
% 9.39/6.91 inference(bind,[status(th)],[])).
% 9.39/6.91 tff(26067,plain,
% 9.39/6.91 (![VarCurr: $i] : ((~v171(VarCurr)) <=> v172(VarCurr)) <=> ![VarCurr: $i] : ((~v171(VarCurr)) <=> v172(VarCurr))),
% 9.39/6.91 inference(quant_intro,[status(thm)],[26066])).
% 9.39/6.91 tff(26068,plain,
% 9.39/6.91 (![VarCurr: $i] : ((~v171(VarCurr)) <=> v172(VarCurr)) <=> ![VarCurr: $i] : ((~v171(VarCurr)) <=> v172(VarCurr))),
% 9.39/6.91 inference(rewrite,[status(thm)],[])).
% 9.39/6.91 tff(26069,axiom,(![VarCurr: $i] : ((~v171(VarCurr)) <=> v172(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeUnaryOperator_16')).
% 9.39/6.91 tff(26070,plain,
% 9.39/6.91 (![VarCurr: $i] : ((~v171(VarCurr)) <=> v172(VarCurr))),
% 9.39/6.91 inference(modus_ponens,[status(thm)],[26069, 26068])).
% 9.39/6.91 tff(26071,plain,(
% 9.39/6.91 ![VarCurr: $i] : ((~v171(VarCurr)) <=> v172(VarCurr))),
% 9.39/6.91 inference(skolemize,[status(sab)],[26070])).
% 9.39/6.91 tff(26072,plain,
% 9.39/6.91 (![VarCurr: $i] : ((~v171(VarCurr)) <=> v172(VarCurr))),
% 9.39/6.91 inference(modus_ponens,[status(thm)],[26071, 26067])).
% 9.39/6.91 tff(26073,plain,
% 9.39/6.91 ((~![VarCurr: $i] : ((~v171(VarCurr)) <=> v172(VarCurr))) | ((~v171(constB93)) <=> v172(constB93))),
% 9.39/6.91 inference(quant_inst,[status(thm)],[])).
% 9.39/6.91 tff(26074,plain,
% 9.39/6.91 ((~v171(constB93)) <=> v172(constB93)),
% 9.39/6.91 inference(unit_resolution,[status(thm)],[26073, 26072])).
% 9.39/6.91 tff(26075,plain,
% 9.39/6.91 (^[VarCurr: $i] : refl((v172(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2))))) <=> (v172(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2))))))),
% 9.39/6.91 inference(bind,[status(th)],[])).
% 9.39/6.91 tff(26076,plain,
% 9.39/6.91 (![VarCurr: $i] : (v172(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2))))) <=> ![VarCurr: $i] : (v172(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))),
% 9.39/6.91 inference(quant_intro,[status(thm)],[26075])).
% 9.39/6.91 tff(26077,plain,
% 9.39/6.91 (^[VarCurr: $i] : rewrite((v172(VarCurr) <=> (v84(VarCurr, bitIndex2) & (~v84(VarCurr, bitIndex1)) & (~v84(VarCurr, bitIndex0)))) <=> (v172(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2))))))),
% 9.39/6.91 inference(bind,[status(th)],[])).
% 9.39/6.91 tff(26078,plain,
% 9.39/6.91 (![VarCurr: $i] : (v172(VarCurr) <=> (v84(VarCurr, bitIndex2) & (~v84(VarCurr, bitIndex1)) & (~v84(VarCurr, bitIndex0)))) <=> ![VarCurr: $i] : (v172(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))),
% 9.39/6.91 inference(quant_intro,[status(thm)],[26077])).
% 9.39/6.91 tff(26079,plain,
% 9.39/6.91 (![VarCurr: $i] : (v172(VarCurr) <=> (v84(VarCurr, bitIndex2) & (~v84(VarCurr, bitIndex1)) & (~v84(VarCurr, bitIndex0)))) <=> ![VarCurr: $i] : (v172(VarCurr) <=> (v84(VarCurr, bitIndex2) & (~v84(VarCurr, bitIndex1)) & (~v84(VarCurr, bitIndex0))))),
% 9.39/6.91 inference(rewrite,[status(thm)],[])).
% 9.39/6.91 tff(26080,plain,
% 9.39/6.91 (^[VarCurr: $i] : rewrite((v172(VarCurr) <=> (((v84(VarCurr, bitIndex2) <=> $true) & (v84(VarCurr, bitIndex1) <=> $false)) & (v84(VarCurr, bitIndex0) <=> $false))) <=> (v172(VarCurr) <=> (v84(VarCurr, bitIndex2) & (~v84(VarCurr, bitIndex1)) & (~v84(VarCurr, bitIndex0)))))),
% 9.39/6.91 inference(bind,[status(th)],[])).
% 9.39/6.91 tff(26081,plain,
% 9.39/6.91 (![VarCurr: $i] : (v172(VarCurr) <=> (((v84(VarCurr, bitIndex2) <=> $true) & (v84(VarCurr, bitIndex1) <=> $false)) & (v84(VarCurr, bitIndex0) <=> $false))) <=> ![VarCurr: $i] : (v172(VarCurr) <=> (v84(VarCurr, bitIndex2) & (~v84(VarCurr, bitIndex1)) & (~v84(VarCurr, bitIndex0))))),
% 9.39/6.91 inference(quant_intro,[status(thm)],[26080])).
% 9.39/6.91 tff(26082,axiom,(![VarCurr: $i] : (v172(VarCurr) <=> (((v84(VarCurr, bitIndex2) <=> $true) & (v84(VarCurr, bitIndex1) <=> $false)) & (v84(VarCurr, bitIndex0) <=> $false)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addBitVectorEqualityBitBlasted_10')).
% 9.39/6.91 tff(26083,plain,
% 9.39/6.91 (![VarCurr: $i] : (v172(VarCurr) <=> (v84(VarCurr, bitIndex2) & (~v84(VarCurr, bitIndex1)) & (~v84(VarCurr, bitIndex0))))),
% 9.39/6.91 inference(modus_ponens,[status(thm)],[26082, 26081])).
% 9.39/6.91 tff(26084,plain,
% 9.39/6.91 (![VarCurr: $i] : (v172(VarCurr) <=> (v84(VarCurr, bitIndex2) & (~v84(VarCurr, bitIndex1)) & (~v84(VarCurr, bitIndex0))))),
% 9.39/6.91 inference(modus_ponens,[status(thm)],[26083, 26079])).
% 9.39/6.91 tff(26085,plain,(
% 9.39/6.91 ![VarCurr: $i] : (v172(VarCurr) <=> (v84(VarCurr, bitIndex2) & (~v84(VarCurr, bitIndex1)) & (~v84(VarCurr, bitIndex0))))),
% 9.39/6.91 inference(skolemize,[status(sab)],[26084])).
% 9.39/6.91 tff(26086,plain,
% 9.39/6.91 (![VarCurr: $i] : (v172(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))),
% 9.39/6.91 inference(modus_ponens,[status(thm)],[26085, 26078])).
% 9.39/6.91 tff(26087,plain,
% 9.39/6.91 (![VarCurr: $i] : (v172(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))),
% 9.39/6.91 inference(modus_ponens,[status(thm)],[26086, 26076])).
% 9.39/6.91 tff(26088,plain,
% 9.39/6.91 (((~![VarCurr: $i] : (v172(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v172(constB93) <=> (~((~v84(constB93, bitIndex2)) | v84(constB93, bitIndex1) | v84(constB93, bitIndex0))))) <=> ((~![VarCurr: $i] : (v172(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v172(constB93) <=> (~((~v84(constB93, bitIndex2)) | v84(constB93, bitIndex1) | v84(constB93, bitIndex0)))))),
% 9.39/6.91 inference(rewrite,[status(thm)],[])).
% 9.39/6.91 tff(26089,plain,
% 9.39/6.91 ((v172(constB93) <=> (~(v84(constB93, bitIndex0) | v84(constB93, bitIndex1) | (~v84(constB93, bitIndex2))))) <=> (v172(constB93) <=> (~((~v84(constB93, bitIndex2)) | v84(constB93, bitIndex1) | v84(constB93, bitIndex0))))),
% 9.39/6.91 inference(rewrite,[status(thm)],[])).
% 9.39/6.91 tff(26090,plain,
% 9.39/6.91 (((~![VarCurr: $i] : (v172(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v172(constB93) <=> (~(v84(constB93, bitIndex0) | v84(constB93, bitIndex1) | (~v84(constB93, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v172(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v172(constB93) <=> (~((~v84(constB93, bitIndex2)) | v84(constB93, bitIndex1) | v84(constB93, bitIndex0)))))),
% 9.39/6.91 inference(monotonicity,[status(thm)],[26089])).
% 9.39/6.91 tff(26091,plain,
% 9.39/6.91 (((~![VarCurr: $i] : (v172(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v172(constB93) <=> (~(v84(constB93, bitIndex0) | v84(constB93, bitIndex1) | (~v84(constB93, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v172(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v172(constB93) <=> (~((~v84(constB93, bitIndex2)) | v84(constB93, bitIndex1) | v84(constB93, bitIndex0)))))),
% 9.39/6.91 inference(transitivity,[status(thm)],[26090, 26088])).
% 9.39/6.91 tff(26092,plain,
% 9.39/6.91 ((~![VarCurr: $i] : (v172(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v172(constB93) <=> (~(v84(constB93, bitIndex0) | v84(constB93, bitIndex1) | (~v84(constB93, bitIndex2)))))),
% 9.39/6.91 inference(quant_inst,[status(thm)],[])).
% 9.39/6.91 tff(26093,plain,
% 9.39/6.91 ((~![VarCurr: $i] : (v172(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v172(constB93) <=> (~((~v84(constB93, bitIndex2)) | v84(constB93, bitIndex1) | v84(constB93, bitIndex0))))),
% 9.39/6.91 inference(modus_ponens,[status(thm)],[26092, 26091])).
% 9.39/6.91 tff(26094,plain,
% 9.39/6.91 (v172(constB93) <=> (~((~v84(constB93, bitIndex2)) | v84(constB93, bitIndex1) | v84(constB93, bitIndex0)))),
% 9.39/6.91 inference(unit_resolution,[status(thm)],[26093, 26087])).
% 9.39/6.91 tff(26095,plain,
% 9.39/6.91 ((~(v172(constB93) <=> (~((~v84(constB93, bitIndex2)) | v84(constB93, bitIndex1) | v84(constB93, bitIndex0))))) | v172(constB93) | ((~v84(constB93, bitIndex2)) | v84(constB93, bitIndex1) | v84(constB93, bitIndex0))),
% 9.39/6.91 inference(tautology,[status(thm)],[])).
% 9.39/6.91 tff(26096,plain,
% 9.39/6.91 (v172(constB93)),
% 9.39/6.91 inference(unit_resolution,[status(thm)],[26095, 17455, 26094])).
% 9.39/6.91 tff(26097,plain,
% 9.39/6.91 ((~((~v171(constB93)) <=> v172(constB93))) | (~v171(constB93)) | (~v172(constB93))),
% 9.39/6.91 inference(tautology,[status(thm)],[])).
% 9.39/6.91 tff(26098,plain,
% 9.39/6.91 (~v171(constB93)),
% 9.39/6.91 inference(unit_resolution,[status(thm)],[26097, 26096, 26074])).
% 9.39/6.91 tff(26099,plain,
% 9.39/6.91 (((~v141(constB93)) | (~v171(constB93))) | v171(constB93)),
% 9.39/6.91 inference(tautology,[status(thm)],[])).
% 9.39/6.91 tff(26100,plain,
% 9.39/6.91 ((~v141(constB93)) | (~v171(constB93))),
% 9.39/6.91 inference(unit_resolution,[status(thm)],[26099, 26098])).
% 9.39/6.91 tff(26101,plain,
% 9.39/6.91 ((~(v170(constB93) <=> (~((~v141(constB93)) | (~v171(constB93)))))) | (~v170(constB93)) | (~((~v141(constB93)) | (~v171(constB93))))),
% 9.39/6.91 inference(tautology,[status(thm)],[])).
% 9.39/6.91 tff(26102,plain,
% 9.39/6.91 (~v170(constB93)),
% 9.39/6.91 inference(unit_resolution,[status(thm)],[26101, 26100, 26065])).
% 9.39/6.91 tff(26103,plain,
% 9.39/6.91 ($false),
% 9.39/6.91 inference(unit_resolution,[status(thm)],[26102, 26048])).
% 9.39/6.91 tff(26104,plain,(~(constB93 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.39/6.91 tff(26105,assumption,(constB25 = VarCurr!0), introduced(assumption)).
% 9.39/6.91 tff(26106,plain,
% 9.39/6.91 (v162(constB25) <=> v162(VarCurr!0)),
% 9.39/6.91 inference(monotonicity,[status(thm)],[26105])).
% 9.39/6.91 tff(26107,plain,
% 9.39/6.91 (v162(VarCurr!0) <=> v162(constB25)),
% 9.39/6.91 inference(symmetry,[status(thm)],[26106])).
% 9.39/6.91 tff(26108,plain,
% 9.39/6.91 (v162(constB25)),
% 9.39/6.91 inference(modus_ponens,[status(thm)],[59, 26107])).
% 9.39/6.91 tff(26109,plain,
% 9.39/6.91 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB24, constB25)) | (v162(constB25) <=> v160(constB24)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB24, constB25)) | (v162(constB25) <=> v160(constB24)))),
% 9.39/6.91 inference(rewrite,[status(thm)],[])).
% 9.39/6.91 tff(26110,plain,
% 9.39/6.91 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB24, constB25)) | (v162(constB25) <=> v160(constB24)))),
% 9.39/6.91 inference(quant_inst,[status(thm)],[])).
% 9.39/6.91 tff(26111,plain,
% 9.39/6.91 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB24, constB25)) | (v162(constB25) <=> v160(constB24))),
% 9.39/6.91 inference(modus_ponens,[status(thm)],[26110, 26109])).
% 9.39/6.91 tff(26112,plain,
% 9.39/6.91 (v162(constB25) <=> v160(constB24)),
% 9.39/6.91 inference(unit_resolution,[status(thm)],[26111, 8632, 70])).
% 9.39/6.91 tff(26113,plain,
% 9.39/6.91 ((~![VarCurr: $i] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB24) <=> (v163(constB24) | v164(constB24)))),
% 9.39/6.91 inference(quant_inst,[status(thm)],[])).
% 9.39/6.91 tff(26114,plain,
% 9.39/6.91 (v160(constB24) <=> (v163(constB24) | v164(constB24))),
% 9.39/6.91 inference(unit_resolution,[status(thm)],[26113, 84])).
% 9.39/6.91 tff(26115,plain,
% 9.39/6.91 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB24) <=> (~((~v130(constB24)) | (~v154(constB24)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB24) <=> (~((~v130(constB24)) | (~v154(constB24))))))),
% 9.39/6.91 inference(rewrite,[status(thm)],[])).
% 9.39/6.91 tff(26116,plain,
% 9.39/6.91 ((v164(constB24) <=> (~((~v154(constB24)) | (~v130(constB24))))) <=> (v164(constB24) <=> (~((~v130(constB24)) | (~v154(constB24)))))),
% 9.39/6.91 inference(rewrite,[status(thm)],[])).
% 9.39/6.91 tff(26117,plain,
% 9.39/6.91 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB24) <=> (~((~v154(constB24)) | (~v130(constB24)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB24) <=> (~((~v130(constB24)) | (~v154(constB24))))))),
% 9.39/6.91 inference(monotonicity,[status(thm)],[26116])).
% 9.39/6.91 tff(26118,plain,
% 9.39/6.91 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB24) <=> (~((~v154(constB24)) | (~v130(constB24)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB24) <=> (~((~v130(constB24)) | (~v154(constB24))))))),
% 9.39/6.91 inference(transitivity,[status(thm)],[26117, 26115])).
% 9.39/6.91 tff(26119,plain,
% 9.39/6.91 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB24) <=> (~((~v154(constB24)) | (~v130(constB24)))))),
% 9.39/6.91 inference(quant_inst,[status(thm)],[])).
% 9.39/6.91 tff(26120,plain,
% 9.39/6.91 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB24) <=> (~((~v130(constB24)) | (~v154(constB24)))))),
% 9.39/6.91 inference(modus_ponens,[status(thm)],[26119, 26118])).
% 9.39/6.91 tff(26121,plain,
% 9.39/6.91 (v164(constB24) <=> (~((~v130(constB24)) | (~v154(constB24))))),
% 9.39/6.91 inference(unit_resolution,[status(thm)],[26120, 96])).
% 9.39/6.91 tff(26122,plain,
% 9.39/6.91 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB24) <=> (~((~v141(constB24)) | (~v143(constB24)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB24) <=> (~((~v141(constB24)) | (~v143(constB24))))))),
% 9.39/6.91 inference(rewrite,[status(thm)],[])).
% 9.39/6.91 tff(26123,plain,
% 9.39/6.91 ((v154(constB24) <=> (~((~v143(constB24)) | (~v141(constB24))))) <=> (v154(constB24) <=> (~((~v141(constB24)) | (~v143(constB24)))))),
% 9.39/6.91 inference(rewrite,[status(thm)],[])).
% 9.39/6.91 tff(26124,plain,
% 9.39/6.91 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB24) <=> (~((~v143(constB24)) | (~v141(constB24)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB24) <=> (~((~v141(constB24)) | (~v143(constB24))))))),
% 9.39/6.91 inference(monotonicity,[status(thm)],[26123])).
% 9.39/6.91 tff(26125,plain,
% 9.39/6.91 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB24) <=> (~((~v143(constB24)) | (~v141(constB24)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB24) <=> (~((~v141(constB24)) | (~v143(constB24))))))),
% 9.39/6.91 inference(transitivity,[status(thm)],[26124, 26122])).
% 9.39/6.91 tff(26126,plain,
% 9.39/6.91 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB24) <=> (~((~v143(constB24)) | (~v141(constB24)))))),
% 9.39/6.91 inference(quant_inst,[status(thm)],[])).
% 9.39/6.91 tff(26127,plain,
% 9.39/6.91 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB24) <=> (~((~v141(constB24)) | (~v143(constB24)))))),
% 9.39/6.91 inference(modus_ponens,[status(thm)],[26126, 26125])).
% 9.39/6.91 tff(26128,plain,
% 9.39/6.91 (v154(constB24) <=> (~((~v141(constB24)) | (~v143(constB24))))),
% 9.39/6.91 inference(unit_resolution,[status(thm)],[26127, 113])).
% 9.39/6.91 tff(26129,plain,
% 9.39/6.91 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB24) <=> (~((~v39(constB24)) | (~v9(constB24)))))),
% 9.39/6.92 inference(quant_inst,[status(thm)],[])).
% 9.39/6.92 tff(26130,plain,
% 9.39/6.92 (v141(constB24) <=> (~((~v39(constB24)) | (~v9(constB24))))),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26129, 130])).
% 9.39/6.92 tff(26131,plain,
% 9.39/6.92 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB24)) <=> v1(constB24))),
% 9.39/6.92 inference(quant_inst,[status(thm)],[])).
% 9.39/6.92 tff(26132,plain,
% 9.39/6.92 ((~v39(constB24)) <=> v1(constB24)),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26131, 139])).
% 9.39/6.92 tff(26133,plain,
% 9.39/6.92 ((~((~v39(constB24)) <=> v1(constB24))) | (~v39(constB24)) | (~v1(constB24))),
% 9.39/6.92 inference(tautology,[status(thm)],[])).
% 9.39/6.92 tff(26134,plain,
% 9.39/6.92 ((~((~v39(constB24)) <=> v1(constB24))) | (~v39(constB24))),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26133, 8694])).
% 9.39/6.92 tff(26135,plain,
% 9.39/6.92 (~v39(constB24)),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26134, 26132])).
% 9.39/6.92 tff(26136,plain,
% 9.39/6.92 (((~v39(constB24)) | (~v9(constB24))) | v39(constB24)),
% 9.39/6.92 inference(tautology,[status(thm)],[])).
% 9.39/6.92 tff(26137,plain,
% 9.39/6.92 ((~v39(constB24)) | (~v9(constB24))),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26136, 26135])).
% 9.39/6.92 tff(26138,plain,
% 9.39/6.92 ((~(v141(constB24) <=> (~((~v39(constB24)) | (~v9(constB24)))))) | (~v141(constB24)) | (~((~v39(constB24)) | (~v9(constB24))))),
% 9.39/6.92 inference(tautology,[status(thm)],[])).
% 9.39/6.92 tff(26139,plain,
% 9.39/6.92 ((~(v141(constB24) <=> (~((~v39(constB24)) | (~v9(constB24)))))) | (~v141(constB24))),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26138, 26137])).
% 9.39/6.92 tff(26140,plain,
% 9.39/6.92 (~v141(constB24)),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26139, 26130])).
% 9.39/6.92 tff(26141,plain,
% 9.39/6.92 (((~v141(constB24)) | (~v143(constB24))) | v141(constB24)),
% 9.39/6.92 inference(tautology,[status(thm)],[])).
% 9.39/6.92 tff(26142,plain,
% 9.39/6.92 ((~v141(constB24)) | (~v143(constB24))),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26141, 26140])).
% 9.39/6.92 tff(26143,plain,
% 9.39/6.92 ((~(v154(constB24) <=> (~((~v141(constB24)) | (~v143(constB24)))))) | (~v154(constB24)) | (~((~v141(constB24)) | (~v143(constB24))))),
% 9.39/6.92 inference(tautology,[status(thm)],[])).
% 9.39/6.92 tff(26144,plain,
% 9.39/6.92 ((~(v154(constB24) <=> (~((~v141(constB24)) | (~v143(constB24)))))) | (~v154(constB24))),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26143, 26142])).
% 9.39/6.92 tff(26145,plain,
% 9.39/6.92 (~v154(constB24)),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26144, 26128])).
% 9.39/6.92 tff(26146,plain,
% 9.39/6.92 (((~v130(constB24)) | (~v154(constB24))) | v154(constB24)),
% 9.39/6.92 inference(tautology,[status(thm)],[])).
% 9.39/6.92 tff(26147,plain,
% 9.39/6.92 ((~v130(constB24)) | (~v154(constB24))),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26146, 26145])).
% 9.39/6.92 tff(26148,plain,
% 9.39/6.92 ((~(v164(constB24) <=> (~((~v130(constB24)) | (~v154(constB24)))))) | (~v164(constB24)) | (~((~v130(constB24)) | (~v154(constB24))))),
% 9.39/6.92 inference(tautology,[status(thm)],[])).
% 9.39/6.92 tff(26149,plain,
% 9.39/6.92 (~v164(constB24)),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26148, 26147, 26121])).
% 9.39/6.92 tff(26150,plain,
% 9.39/6.92 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB24) <=> (~((~v128(constB24)) | (~v139(constB24)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB24) <=> (~((~v128(constB24)) | (~v139(constB24))))))),
% 9.39/6.92 inference(rewrite,[status(thm)],[])).
% 9.39/6.92 tff(26151,plain,
% 9.39/6.92 ((v163(constB24) <=> (~((~v139(constB24)) | (~v128(constB24))))) <=> (v163(constB24) <=> (~((~v128(constB24)) | (~v139(constB24)))))),
% 9.39/6.92 inference(rewrite,[status(thm)],[])).
% 9.39/6.92 tff(26152,plain,
% 9.39/6.92 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB24) <=> (~((~v139(constB24)) | (~v128(constB24)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB24) <=> (~((~v128(constB24)) | (~v139(constB24))))))),
% 9.39/6.92 inference(monotonicity,[status(thm)],[26151])).
% 9.39/6.92 tff(26153,plain,
% 9.39/6.92 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB24) <=> (~((~v139(constB24)) | (~v128(constB24)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB24) <=> (~((~v128(constB24)) | (~v139(constB24))))))),
% 9.39/6.92 inference(transitivity,[status(thm)],[26152, 26150])).
% 9.39/6.92 tff(26154,plain,
% 9.39/6.92 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB24) <=> (~((~v139(constB24)) | (~v128(constB24)))))),
% 9.39/6.92 inference(quant_inst,[status(thm)],[])).
% 9.39/6.92 tff(26155,plain,
% 9.39/6.92 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB24) <=> (~((~v128(constB24)) | (~v139(constB24)))))),
% 9.39/6.92 inference(modus_ponens,[status(thm)],[26154, 26153])).
% 9.39/6.92 tff(26156,plain,
% 9.39/6.92 (v163(constB24) <=> (~((~v128(constB24)) | (~v139(constB24))))),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26155, 171])).
% 9.39/6.92 tff(26157,plain,
% 9.39/6.92 ((~![VarNext: $i] : (v128(VarNext) <=> v162(VarNext))) | (v128(constB24) <=> v162(constB24))),
% 9.39/6.92 inference(quant_inst,[status(thm)],[])).
% 9.39/6.92 tff(26158,plain,
% 9.39/6.92 (v128(constB24) <=> v162(constB24)),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26157, 13])).
% 9.39/6.92 tff(26159,plain,
% 9.39/6.92 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB23, constB24)) | (v162(constB24) <=> v160(constB23)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB23, constB24)) | (v162(constB24) <=> v160(constB23)))),
% 9.39/6.92 inference(rewrite,[status(thm)],[])).
% 9.39/6.92 tff(26160,plain,
% 9.39/6.92 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB23, constB24)) | (v162(constB24) <=> v160(constB23)))),
% 9.39/6.92 inference(quant_inst,[status(thm)],[])).
% 9.39/6.92 tff(26161,plain,
% 9.39/6.92 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB23, constB24)) | (v162(constB24) <=> v160(constB23))),
% 9.39/6.92 inference(modus_ponens,[status(thm)],[26160, 26159])).
% 9.39/6.92 tff(26162,plain,
% 9.39/6.92 (v162(constB24) <=> v160(constB23)),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26161, 8664, 70])).
% 9.39/6.92 tff(26163,plain,
% 9.39/6.92 ((~![VarCurr: $i] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB23) <=> (v163(constB23) | v164(constB23)))),
% 9.39/6.92 inference(quant_inst,[status(thm)],[])).
% 9.39/6.92 tff(26164,plain,
% 9.39/6.92 (v160(constB23) <=> (v163(constB23) | v164(constB23))),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26163, 84])).
% 9.39/6.92 tff(26165,plain,
% 9.39/6.92 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB23) <=> (~((~v128(constB23)) | (~v139(constB23)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB23) <=> (~((~v128(constB23)) | (~v139(constB23))))))),
% 9.39/6.92 inference(rewrite,[status(thm)],[])).
% 9.39/6.92 tff(26166,plain,
% 9.39/6.92 ((v163(constB23) <=> (~((~v139(constB23)) | (~v128(constB23))))) <=> (v163(constB23) <=> (~((~v128(constB23)) | (~v139(constB23)))))),
% 9.39/6.92 inference(rewrite,[status(thm)],[])).
% 9.39/6.92 tff(26167,plain,
% 9.39/6.92 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB23) <=> (~((~v139(constB23)) | (~v128(constB23)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB23) <=> (~((~v128(constB23)) | (~v139(constB23))))))),
% 9.39/6.92 inference(monotonicity,[status(thm)],[26166])).
% 9.39/6.92 tff(26168,plain,
% 9.39/6.92 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB23) <=> (~((~v139(constB23)) | (~v128(constB23)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB23) <=> (~((~v128(constB23)) | (~v139(constB23))))))),
% 9.39/6.92 inference(transitivity,[status(thm)],[26167, 26165])).
% 9.39/6.92 tff(26169,plain,
% 9.39/6.92 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB23) <=> (~((~v139(constB23)) | (~v128(constB23)))))),
% 9.39/6.92 inference(quant_inst,[status(thm)],[])).
% 9.39/6.92 tff(26170,plain,
% 9.39/6.92 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB23) <=> (~((~v128(constB23)) | (~v139(constB23)))))),
% 9.39/6.92 inference(modus_ponens,[status(thm)],[26169, 26168])).
% 9.39/6.92 tff(26171,plain,
% 9.39/6.92 (v163(constB23) <=> (~((~v128(constB23)) | (~v139(constB23))))),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26170, 171])).
% 9.39/6.92 tff(26172,plain,
% 9.39/6.92 ((~![VarCurr: $i] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB23)) <=> v140(constB23))),
% 9.39/6.92 inference(quant_inst,[status(thm)],[])).
% 9.39/6.92 tff(26173,plain,
% 9.39/6.92 ((~v139(constB23)) <=> v140(constB23)),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26172, 203])).
% 9.39/6.92 tff(26174,plain,
% 9.39/6.92 ((~![VarCurr: $i] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB23) <=> (v141(constB23) | v26(constB23)))),
% 9.39/6.92 inference(quant_inst,[status(thm)],[])).
% 9.39/6.92 tff(26175,plain,
% 9.39/6.92 (v140(constB23) <=> (v141(constB23) | v26(constB23))),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26174, 212])).
% 9.39/6.92 tff(26176,plain,
% 9.39/6.92 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB23) <=> (~((~v39(constB23)) | (~v9(constB23)))))),
% 9.39/6.92 inference(quant_inst,[status(thm)],[])).
% 9.39/6.92 tff(26177,plain,
% 9.39/6.92 (v141(constB23) <=> (~((~v39(constB23)) | (~v9(constB23))))),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26176, 130])).
% 9.39/6.92 tff(26178,plain,
% 9.39/6.92 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB23, constB24)) | (v13(constB24) <=> v9(constB23)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB23, constB24)) | (v13(constB24) <=> v9(constB23)))),
% 9.39/6.92 inference(rewrite,[status(thm)],[])).
% 9.39/6.92 tff(26179,plain,
% 9.39/6.92 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB23, constB24)) | (v13(constB24) <=> v9(constB23)))),
% 9.39/6.92 inference(quant_inst,[status(thm)],[])).
% 9.39/6.92 tff(26180,plain,
% 9.39/6.92 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB23, constB24)) | (v13(constB24) <=> v9(constB23))),
% 9.39/6.92 inference(modus_ponens,[status(thm)],[26179, 26178])).
% 9.39/6.92 tff(26181,plain,
% 9.39/6.92 (v13(constB24) <=> v9(constB23)),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26180, 8664, 226])).
% 9.39/6.92 tff(26182,plain,
% 9.39/6.92 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB24) <=> v13(constB24))),
% 9.39/6.92 inference(quant_inst,[status(thm)],[])).
% 9.39/6.92 tff(26183,plain,
% 9.39/6.92 (v6(constB24) <=> v13(constB24)),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26182, 240])).
% 9.39/6.92 tff(26184,plain,
% 9.39/6.92 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB24)) <=> v6(constB24))),
% 9.39/6.92 inference(quant_inst,[status(thm)],[])).
% 9.39/6.92 tff(26185,plain,
% 9.39/6.92 ((~v21(constB24)) <=> v6(constB24)),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26184, 249])).
% 9.39/6.92 tff(26186,plain,
% 9.39/6.92 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB24) <=> (v20(constB24) | v21(constB24)))),
% 9.39/6.92 inference(quant_inst,[status(thm)],[])).
% 9.39/6.92 tff(26187,plain,
% 9.39/6.92 (v19(constB24) <=> (v20(constB24) | v21(constB24))),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26186, 258])).
% 9.39/6.92 tff(26188,plain,
% 9.39/6.92 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB24) <=> (~((~v19(constB24)) | (~v22(constB24)))))),
% 9.39/6.92 inference(quant_inst,[status(thm)],[])).
% 9.39/6.92 tff(26189,plain,
% 9.39/6.92 (v18(constB24) <=> (~((~v19(constB24)) | (~v22(constB24))))),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26188, 270])).
% 9.39/6.92 tff(26190,plain,
% 9.39/6.92 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB24)) <=> v18(constB24))),
% 9.39/6.92 inference(quant_inst,[status(thm)],[])).
% 9.39/6.92 tff(26191,plain,
% 9.39/6.92 ((~v4(constB24)) <=> v18(constB24)),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26190, 279])).
% 9.39/6.92 tff(26192,plain,
% 9.39/6.92 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB24)),
% 9.39/6.92 inference(quant_inst,[status(thm)],[])).
% 9.39/6.92 tff(26193,plain,
% 9.39/6.92 (v4(constB24)),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26192, 288])).
% 9.39/6.92 tff(26194,plain,
% 9.39/6.92 ((~((~v4(constB24)) <=> v18(constB24))) | (~v4(constB24)) | (~v18(constB24))),
% 9.39/6.92 inference(tautology,[status(thm)],[])).
% 9.39/6.92 tff(26195,plain,
% 9.39/6.92 (~v18(constB24)),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26194, 26193, 26191])).
% 9.39/6.92 tff(26196,plain,
% 9.39/6.92 ((~(v18(constB24) <=> (~((~v19(constB24)) | (~v22(constB24)))))) | v18(constB24) | ((~v19(constB24)) | (~v22(constB24)))),
% 9.39/6.92 inference(tautology,[status(thm)],[])).
% 9.39/6.92 tff(26197,plain,
% 9.39/6.92 ((~v19(constB24)) | (~v22(constB24))),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26196, 26195, 26189])).
% 9.39/6.92 tff(26198,plain,
% 9.39/6.92 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB24) <=> (v1(constB24) | v6(constB24)))),
% 9.39/6.92 inference(quant_inst,[status(thm)],[])).
% 9.39/6.92 tff(26199,plain,
% 9.39/6.92 (v22(constB24) <=> (v1(constB24) | v6(constB24))),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26198, 301])).
% 9.39/6.92 tff(26200,plain,
% 9.39/6.92 ((v1(constB24) | v6(constB24)) | (~v1(constB24))),
% 9.39/6.92 inference(tautology,[status(thm)],[])).
% 9.39/6.92 tff(26201,plain,
% 9.39/6.92 (v1(constB24) | v6(constB24)),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26200, 8694])).
% 9.39/6.92 tff(26202,plain,
% 9.39/6.92 ((~(v22(constB24) <=> (v1(constB24) | v6(constB24)))) | v22(constB24) | (~(v1(constB24) | v6(constB24)))),
% 9.39/6.92 inference(tautology,[status(thm)],[])).
% 9.39/6.92 tff(26203,plain,
% 9.39/6.92 ((~(v22(constB24) <=> (v1(constB24) | v6(constB24)))) | v22(constB24)),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26202, 26201])).
% 9.39/6.92 tff(26204,plain,
% 9.39/6.92 (v22(constB24)),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26203, 26199])).
% 9.39/6.92 tff(26205,plain,
% 9.39/6.92 ((~((~v19(constB24)) | (~v22(constB24)))) | (~v19(constB24)) | (~v22(constB24))),
% 9.39/6.92 inference(tautology,[status(thm)],[])).
% 9.39/6.92 tff(26206,plain,
% 9.39/6.92 ((~((~v19(constB24)) | (~v22(constB24)))) | (~v19(constB24))),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26205, 26204])).
% 9.39/6.92 tff(26207,plain,
% 9.39/6.92 (~v19(constB24)),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26206, 26197])).
% 9.39/6.92 tff(26208,plain,
% 9.39/6.92 ((~(v19(constB24) <=> (v20(constB24) | v21(constB24)))) | v19(constB24) | (~(v20(constB24) | v21(constB24)))),
% 9.39/6.92 inference(tautology,[status(thm)],[])).
% 9.39/6.92 tff(26209,plain,
% 9.39/6.92 (~(v20(constB24) | v21(constB24))),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26208, 26207, 26187])).
% 9.39/6.92 tff(26210,plain,
% 9.39/6.92 ((v20(constB24) | v21(constB24)) | (~v21(constB24))),
% 9.39/6.92 inference(tautology,[status(thm)],[])).
% 9.39/6.92 tff(26211,plain,
% 9.39/6.92 (~v21(constB24)),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26210, 26209])).
% 9.39/6.92 tff(26212,plain,
% 9.39/6.92 ((~((~v21(constB24)) <=> v6(constB24))) | v21(constB24) | v6(constB24)),
% 9.39/6.92 inference(tautology,[status(thm)],[])).
% 9.39/6.92 tff(26213,plain,
% 9.39/6.92 (v6(constB24)),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26212, 26211, 26185])).
% 9.39/6.92 tff(26214,plain,
% 9.39/6.92 ((~(v6(constB24) <=> v13(constB24))) | (~v6(constB24)) | v13(constB24)),
% 9.39/6.92 inference(tautology,[status(thm)],[])).
% 9.39/6.92 tff(26215,plain,
% 9.39/6.92 (v13(constB24)),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26214, 26213, 26183])).
% 9.39/6.92 tff(26216,plain,
% 9.39/6.92 ((~(v13(constB24) <=> v9(constB23))) | (~v13(constB24)) | v9(constB23)),
% 9.39/6.92 inference(tautology,[status(thm)],[])).
% 9.39/6.92 tff(26217,plain,
% 9.39/6.92 (v9(constB23)),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26216, 26215, 26181])).
% 9.39/6.92 tff(26218,plain,
% 9.39/6.92 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB23)) <=> v1(constB23))),
% 9.39/6.92 inference(quant_inst,[status(thm)],[])).
% 9.39/6.92 tff(26219,plain,
% 9.39/6.92 ((~v39(constB23)) <=> v1(constB23)),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26218, 139])).
% 9.39/6.92 tff(26220,plain,
% 9.39/6.92 ((~((~v39(constB23)) <=> v1(constB23))) | v39(constB23) | v1(constB23)),
% 9.39/6.92 inference(tautology,[status(thm)],[])).
% 9.39/6.92 tff(26221,plain,
% 9.39/6.92 ((~((~v39(constB23)) <=> v1(constB23))) | v39(constB23)),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26220, 8686])).
% 9.39/6.92 tff(26222,plain,
% 9.39/6.92 (v39(constB23)),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26221, 26219])).
% 9.39/6.92 tff(26223,plain,
% 9.39/6.92 ((~((~v39(constB23)) | (~v9(constB23)))) | (~v39(constB23)) | (~v9(constB23))),
% 9.39/6.92 inference(tautology,[status(thm)],[])).
% 9.39/6.92 tff(26224,plain,
% 9.39/6.92 ((~((~v39(constB23)) | (~v9(constB23)))) | (~v9(constB23))),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26223, 26222])).
% 9.39/6.92 tff(26225,plain,
% 9.39/6.92 (~((~v39(constB23)) | (~v9(constB23)))),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26224, 26217])).
% 9.39/6.92 tff(26226,plain,
% 9.39/6.92 ((~(v141(constB23) <=> (~((~v39(constB23)) | (~v9(constB23)))))) | v141(constB23) | ((~v39(constB23)) | (~v9(constB23)))),
% 9.39/6.92 inference(tautology,[status(thm)],[])).
% 9.39/6.92 tff(26227,plain,
% 9.39/6.92 (v141(constB23)),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26226, 26225, 26177])).
% 9.39/6.92 tff(26228,plain,
% 9.39/6.92 ((v141(constB23) | v26(constB23)) | (~v141(constB23))),
% 9.39/6.92 inference(tautology,[status(thm)],[])).
% 9.39/6.92 tff(26229,plain,
% 9.39/6.92 (v141(constB23) | v26(constB23)),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26228, 26227])).
% 9.39/6.92 tff(26230,plain,
% 9.39/6.92 ((~(v140(constB23) <=> (v141(constB23) | v26(constB23)))) | v140(constB23) | (~(v141(constB23) | v26(constB23)))),
% 9.39/6.92 inference(tautology,[status(thm)],[])).
% 9.39/6.92 tff(26231,plain,
% 9.39/6.92 (v140(constB23)),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26230, 26229, 26175])).
% 9.39/6.92 tff(26232,plain,
% 9.39/6.92 ((~((~v139(constB23)) <=> v140(constB23))) | (~v139(constB23)) | (~v140(constB23))),
% 9.39/6.92 inference(tautology,[status(thm)],[])).
% 9.39/6.92 tff(26233,plain,
% 9.39/6.92 (~v139(constB23)),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26232, 26231, 26173])).
% 9.39/6.92 tff(26234,plain,
% 9.39/6.92 (((~v128(constB23)) | (~v139(constB23))) | v139(constB23)),
% 9.39/6.92 inference(tautology,[status(thm)],[])).
% 9.39/6.92 tff(26235,plain,
% 9.39/6.92 ((~v128(constB23)) | (~v139(constB23))),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26234, 26233])).
% 9.39/6.92 tff(26236,plain,
% 9.39/6.92 ((~(v163(constB23) <=> (~((~v128(constB23)) | (~v139(constB23)))))) | (~v163(constB23)) | (~((~v128(constB23)) | (~v139(constB23))))),
% 9.39/6.92 inference(tautology,[status(thm)],[])).
% 9.39/6.92 tff(26237,plain,
% 9.39/6.92 (~v163(constB23)),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26236, 26235, 26171])).
% 9.39/6.92 tff(26238,plain,
% 9.39/6.92 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB23) <=> (~((~v130(constB23)) | (~v154(constB23)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB23) <=> (~((~v130(constB23)) | (~v154(constB23))))))),
% 9.39/6.92 inference(rewrite,[status(thm)],[])).
% 9.39/6.92 tff(26239,plain,
% 9.39/6.92 ((v164(constB23) <=> (~((~v154(constB23)) | (~v130(constB23))))) <=> (v164(constB23) <=> (~((~v130(constB23)) | (~v154(constB23)))))),
% 9.39/6.92 inference(rewrite,[status(thm)],[])).
% 9.39/6.92 tff(26240,plain,
% 9.39/6.92 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB23) <=> (~((~v154(constB23)) | (~v130(constB23)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB23) <=> (~((~v130(constB23)) | (~v154(constB23))))))),
% 9.39/6.92 inference(monotonicity,[status(thm)],[26239])).
% 9.39/6.92 tff(26241,plain,
% 9.39/6.92 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB23) <=> (~((~v154(constB23)) | (~v130(constB23)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB23) <=> (~((~v130(constB23)) | (~v154(constB23))))))),
% 9.39/6.92 inference(transitivity,[status(thm)],[26240, 26238])).
% 9.39/6.92 tff(26242,plain,
% 9.39/6.92 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB23) <=> (~((~v154(constB23)) | (~v130(constB23)))))),
% 9.39/6.92 inference(quant_inst,[status(thm)],[])).
% 9.39/6.92 tff(26243,plain,
% 9.39/6.92 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB23) <=> (~((~v130(constB23)) | (~v154(constB23)))))),
% 9.39/6.92 inference(modus_ponens,[status(thm)],[26242, 26241])).
% 9.39/6.92 tff(26244,plain,
% 9.39/6.92 (v164(constB23) <=> (~((~v130(constB23)) | (~v154(constB23))))),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26243, 96])).
% 9.39/6.92 tff(26245,plain,
% 9.39/6.92 ((~![VarNext: $i] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB23) <=> v152(constB23))),
% 9.39/6.92 inference(quant_inst,[status(thm)],[])).
% 9.39/6.92 tff(26246,plain,
% 9.39/6.92 (v130(constB23) <=> v152(constB23)),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26245, 361])).
% 9.39/6.92 tff(26247,plain,
% 9.39/6.92 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB22, constB23)) | (v152(constB23) <=> v150(constB22)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB22, constB23)) | (v152(constB23) <=> v150(constB22)))),
% 9.39/6.92 inference(rewrite,[status(thm)],[])).
% 9.39/6.92 tff(26248,plain,
% 9.39/6.92 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB22, constB23)) | (v152(constB23) <=> v150(constB22)))),
% 9.39/6.92 inference(quant_inst,[status(thm)],[])).
% 9.39/6.92 tff(26249,plain,
% 9.39/6.92 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB22, constB23)) | (v152(constB23) <=> v150(constB22))),
% 9.39/6.92 inference(modus_ponens,[status(thm)],[26248, 26247])).
% 9.39/6.92 tff(26250,plain,
% 9.39/6.92 (v152(constB23) <=> v150(constB22)),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26249, 8721, 373])).
% 9.39/6.92 tff(26251,plain,
% 9.39/6.92 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v153(VarCurr) | v155(VarCurr)))) | (v150(constB22) <=> (v153(constB22) | v155(constB22)))),
% 9.39/6.92 inference(quant_inst,[status(thm)],[])).
% 9.39/6.92 tff(26252,plain,
% 9.39/6.92 (v150(constB22) <=> (v153(constB22) | v155(constB22))),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26251, 387])).
% 9.39/6.92 tff(26253,plain,
% 9.39/6.92 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB22) <=> (~((~v132(constB22)) | (~v154(constB22)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB22) <=> (~((~v132(constB22)) | (~v154(constB22))))))),
% 9.39/6.92 inference(rewrite,[status(thm)],[])).
% 9.39/6.92 tff(26254,plain,
% 9.39/6.92 ((v153(constB22) <=> (~((~v154(constB22)) | (~v132(constB22))))) <=> (v153(constB22) <=> (~((~v132(constB22)) | (~v154(constB22)))))),
% 9.39/6.92 inference(rewrite,[status(thm)],[])).
% 9.39/6.92 tff(26255,plain,
% 9.39/6.92 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB22) <=> (~((~v154(constB22)) | (~v132(constB22)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB22) <=> (~((~v132(constB22)) | (~v154(constB22))))))),
% 9.39/6.92 inference(monotonicity,[status(thm)],[26254])).
% 9.39/6.92 tff(26256,plain,
% 9.39/6.92 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB22) <=> (~((~v154(constB22)) | (~v132(constB22)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB22) <=> (~((~v132(constB22)) | (~v154(constB22))))))),
% 9.39/6.92 inference(transitivity,[status(thm)],[26255, 26253])).
% 9.39/6.92 tff(26257,plain,
% 9.39/6.92 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB22) <=> (~((~v154(constB22)) | (~v132(constB22)))))),
% 9.39/6.92 inference(quant_inst,[status(thm)],[])).
% 9.39/6.92 tff(26258,plain,
% 9.39/6.92 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB22) <=> (~((~v132(constB22)) | (~v154(constB22)))))),
% 9.39/6.92 inference(modus_ponens,[status(thm)],[26257, 26256])).
% 9.39/6.92 tff(26259,plain,
% 9.39/6.92 (v153(constB22) <=> (~((~v132(constB22)) | (~v154(constB22))))),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26258, 399])).
% 9.39/6.92 tff(26260,plain,
% 9.39/6.92 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB22) <=> (~((~v141(constB22)) | (~v143(constB22)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB22) <=> (~((~v141(constB22)) | (~v143(constB22))))))),
% 9.39/6.92 inference(rewrite,[status(thm)],[])).
% 9.39/6.92 tff(26261,plain,
% 9.39/6.92 ((v154(constB22) <=> (~((~v143(constB22)) | (~v141(constB22))))) <=> (v154(constB22) <=> (~((~v141(constB22)) | (~v143(constB22)))))),
% 9.39/6.92 inference(rewrite,[status(thm)],[])).
% 9.39/6.92 tff(26262,plain,
% 9.39/6.92 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB22) <=> (~((~v143(constB22)) | (~v141(constB22)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB22) <=> (~((~v141(constB22)) | (~v143(constB22))))))),
% 9.39/6.92 inference(monotonicity,[status(thm)],[26261])).
% 9.39/6.92 tff(26263,plain,
% 9.39/6.92 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB22) <=> (~((~v143(constB22)) | (~v141(constB22)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB22) <=> (~((~v141(constB22)) | (~v143(constB22))))))),
% 9.39/6.92 inference(transitivity,[status(thm)],[26262, 26260])).
% 9.39/6.92 tff(26264,plain,
% 9.39/6.92 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB22) <=> (~((~v143(constB22)) | (~v141(constB22)))))),
% 9.39/6.92 inference(quant_inst,[status(thm)],[])).
% 9.39/6.92 tff(26265,plain,
% 9.39/6.92 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB22) <=> (~((~v141(constB22)) | (~v143(constB22)))))),
% 9.39/6.92 inference(modus_ponens,[status(thm)],[26264, 26263])).
% 9.39/6.92 tff(26266,plain,
% 9.39/6.92 (v154(constB22) <=> (~((~v141(constB22)) | (~v143(constB22))))),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26265, 113])).
% 9.39/6.92 tff(26267,plain,
% 9.39/6.92 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB22) <=> (~((~v39(constB22)) | (~v9(constB22)))))),
% 9.39/6.92 inference(quant_inst,[status(thm)],[])).
% 9.39/6.92 tff(26268,plain,
% 9.39/6.92 (v141(constB22) <=> (~((~v39(constB22)) | (~v9(constB22))))),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26267, 130])).
% 9.39/6.92 tff(26269,plain,
% 9.39/6.92 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB22)) <=> v1(constB22))),
% 9.39/6.92 inference(quant_inst,[status(thm)],[])).
% 9.39/6.92 tff(26270,plain,
% 9.39/6.92 ((~v39(constB22)) <=> v1(constB22)),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26269, 139])).
% 9.39/6.92 tff(26271,plain,
% 9.39/6.92 ((~((~v39(constB22)) <=> v1(constB22))) | (~v39(constB22)) | (~v1(constB22))),
% 9.39/6.92 inference(tautology,[status(thm)],[])).
% 9.39/6.92 tff(26272,plain,
% 9.39/6.92 ((~((~v39(constB22)) <=> v1(constB22))) | (~v39(constB22))),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26271, 8783])).
% 9.39/6.92 tff(26273,plain,
% 9.39/6.92 (~v39(constB22)),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26272, 26270])).
% 9.39/6.92 tff(26274,plain,
% 9.39/6.92 (((~v39(constB22)) | (~v9(constB22))) | v39(constB22)),
% 9.39/6.92 inference(tautology,[status(thm)],[])).
% 9.39/6.92 tff(26275,plain,
% 9.39/6.92 ((~v39(constB22)) | (~v9(constB22))),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26274, 26273])).
% 9.39/6.92 tff(26276,plain,
% 9.39/6.92 ((~(v141(constB22) <=> (~((~v39(constB22)) | (~v9(constB22)))))) | (~v141(constB22)) | (~((~v39(constB22)) | (~v9(constB22))))),
% 9.39/6.92 inference(tautology,[status(thm)],[])).
% 9.39/6.92 tff(26277,plain,
% 9.39/6.92 ((~(v141(constB22) <=> (~((~v39(constB22)) | (~v9(constB22)))))) | (~v141(constB22))),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26276, 26275])).
% 9.39/6.92 tff(26278,plain,
% 9.39/6.92 (~v141(constB22)),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26277, 26268])).
% 9.39/6.92 tff(26279,plain,
% 9.39/6.92 (((~v141(constB22)) | (~v143(constB22))) | v141(constB22)),
% 9.39/6.92 inference(tautology,[status(thm)],[])).
% 9.39/6.92 tff(26280,plain,
% 9.39/6.92 ((~v141(constB22)) | (~v143(constB22))),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26279, 26278])).
% 9.39/6.92 tff(26281,plain,
% 9.39/6.92 ((~(v154(constB22) <=> (~((~v141(constB22)) | (~v143(constB22)))))) | (~v154(constB22)) | (~((~v141(constB22)) | (~v143(constB22))))),
% 9.39/6.92 inference(tautology,[status(thm)],[])).
% 9.39/6.92 tff(26282,plain,
% 9.39/6.92 ((~(v154(constB22) <=> (~((~v141(constB22)) | (~v143(constB22)))))) | (~v154(constB22))),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26281, 26280])).
% 9.39/6.92 tff(26283,plain,
% 9.39/6.92 (~v154(constB22)),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26282, 26266])).
% 9.39/6.92 tff(26284,plain,
% 9.39/6.92 (((~v132(constB22)) | (~v154(constB22))) | v154(constB22)),
% 9.39/6.92 inference(tautology,[status(thm)],[])).
% 9.39/6.92 tff(26285,plain,
% 9.39/6.92 ((~v132(constB22)) | (~v154(constB22))),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26284, 26283])).
% 9.39/6.92 tff(26286,plain,
% 9.39/6.92 ((~(v153(constB22) <=> (~((~v132(constB22)) | (~v154(constB22)))))) | (~v153(constB22)) | (~((~v132(constB22)) | (~v154(constB22))))),
% 9.39/6.92 inference(tautology,[status(thm)],[])).
% 9.39/6.92 tff(26287,plain,
% 9.39/6.92 (~v153(constB22)),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26286, 26285, 26259])).
% 9.39/6.92 tff(26288,plain,
% 9.39/6.92 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB22) <=> (~((~v130(constB22)) | (~v139(constB22)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB22) <=> (~((~v130(constB22)) | (~v139(constB22))))))),
% 9.39/6.92 inference(rewrite,[status(thm)],[])).
% 9.39/6.92 tff(26289,plain,
% 9.39/6.92 ((v155(constB22) <=> (~((~v139(constB22)) | (~v130(constB22))))) <=> (v155(constB22) <=> (~((~v130(constB22)) | (~v139(constB22)))))),
% 9.39/6.92 inference(rewrite,[status(thm)],[])).
% 9.39/6.92 tff(26290,plain,
% 9.39/6.92 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB22) <=> (~((~v139(constB22)) | (~v130(constB22)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB22) <=> (~((~v130(constB22)) | (~v139(constB22))))))),
% 9.39/6.92 inference(monotonicity,[status(thm)],[26289])).
% 9.39/6.92 tff(26291,plain,
% 9.39/6.92 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB22) <=> (~((~v139(constB22)) | (~v130(constB22)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB22) <=> (~((~v130(constB22)) | (~v139(constB22))))))),
% 9.39/6.92 inference(transitivity,[status(thm)],[26290, 26288])).
% 9.39/6.92 tff(26292,plain,
% 9.39/6.92 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB22) <=> (~((~v139(constB22)) | (~v130(constB22)))))),
% 9.39/6.92 inference(quant_inst,[status(thm)],[])).
% 9.39/6.92 tff(26293,plain,
% 9.39/6.92 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB22) <=> (~((~v130(constB22)) | (~v139(constB22)))))),
% 9.39/6.92 inference(modus_ponens,[status(thm)],[26292, 26291])).
% 9.39/6.92 tff(26294,plain,
% 9.39/6.92 (v155(constB22) <=> (~((~v130(constB22)) | (~v139(constB22))))),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26293, 447])).
% 9.39/6.92 tff(26295,plain,
% 9.39/6.92 ((~![VarNext: $i] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB22) <=> v152(constB22))),
% 9.39/6.92 inference(quant_inst,[status(thm)],[])).
% 9.39/6.92 tff(26296,plain,
% 9.39/6.92 (v130(constB22) <=> v152(constB22)),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26295, 361])).
% 9.39/6.92 tff(26297,plain,
% 9.39/6.92 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB21, constB22)) | (v152(constB22) <=> v150(constB21)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB21, constB22)) | (v152(constB22) <=> v150(constB21)))),
% 9.39/6.92 inference(rewrite,[status(thm)],[])).
% 9.39/6.92 tff(26298,plain,
% 9.39/6.92 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB21, constB22)) | (v152(constB22) <=> v150(constB21)))),
% 9.39/6.92 inference(quant_inst,[status(thm)],[])).
% 9.39/6.92 tff(26299,plain,
% 9.39/6.92 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB21, constB22)) | (v152(constB22) <=> v150(constB21))),
% 9.39/6.92 inference(modus_ponens,[status(thm)],[26298, 26297])).
% 9.39/6.92 tff(26300,plain,
% 9.39/6.92 (v152(constB22) <=> v150(constB21)),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26299, 8753, 373])).
% 9.39/6.92 tff(26301,plain,
% 9.39/6.92 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v153(VarCurr) | v155(VarCurr)))) | (v150(constB21) <=> (v153(constB21) | v155(constB21)))),
% 9.39/6.92 inference(quant_inst,[status(thm)],[])).
% 9.39/6.92 tff(26302,plain,
% 9.39/6.92 (v150(constB21) <=> (v153(constB21) | v155(constB21))),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26301, 387])).
% 9.39/6.92 tff(26303,plain,
% 9.39/6.92 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB21) <=> (~((~v130(constB21)) | (~v139(constB21)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB21) <=> (~((~v130(constB21)) | (~v139(constB21))))))),
% 9.39/6.92 inference(rewrite,[status(thm)],[])).
% 9.39/6.92 tff(26304,plain,
% 9.39/6.92 ((v155(constB21) <=> (~((~v139(constB21)) | (~v130(constB21))))) <=> (v155(constB21) <=> (~((~v130(constB21)) | (~v139(constB21)))))),
% 9.39/6.92 inference(rewrite,[status(thm)],[])).
% 9.39/6.92 tff(26305,plain,
% 9.39/6.92 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB21) <=> (~((~v139(constB21)) | (~v130(constB21)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB21) <=> (~((~v130(constB21)) | (~v139(constB21))))))),
% 9.39/6.92 inference(monotonicity,[status(thm)],[26304])).
% 9.39/6.92 tff(26306,plain,
% 9.39/6.92 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB21) <=> (~((~v139(constB21)) | (~v130(constB21)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB21) <=> (~((~v130(constB21)) | (~v139(constB21))))))),
% 9.39/6.92 inference(transitivity,[status(thm)],[26305, 26303])).
% 9.39/6.92 tff(26307,plain,
% 9.39/6.92 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB21) <=> (~((~v139(constB21)) | (~v130(constB21)))))),
% 9.39/6.92 inference(quant_inst,[status(thm)],[])).
% 9.39/6.92 tff(26308,plain,
% 9.39/6.92 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB21) <=> (~((~v130(constB21)) | (~v139(constB21)))))),
% 9.39/6.92 inference(modus_ponens,[status(thm)],[26307, 26306])).
% 9.39/6.92 tff(26309,plain,
% 9.39/6.92 (v155(constB21) <=> (~((~v130(constB21)) | (~v139(constB21))))),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26308, 447])).
% 9.39/6.92 tff(26310,plain,
% 9.39/6.92 ((~![VarCurr: $i] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB21)) <=> v140(constB21))),
% 9.39/6.92 inference(quant_inst,[status(thm)],[])).
% 9.39/6.92 tff(26311,plain,
% 9.39/6.92 ((~v139(constB21)) <=> v140(constB21)),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26310, 203])).
% 9.39/6.92 tff(26312,plain,
% 9.39/6.92 ((~![VarCurr: $i] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB21) <=> (v141(constB21) | v26(constB21)))),
% 9.39/6.92 inference(quant_inst,[status(thm)],[])).
% 9.39/6.92 tff(26313,plain,
% 9.39/6.92 (v140(constB21) <=> (v141(constB21) | v26(constB21))),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26312, 212])).
% 9.39/6.92 tff(26314,plain,
% 9.39/6.92 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB21) <=> (~((~v39(constB21)) | (~v9(constB21)))))),
% 9.39/6.92 inference(quant_inst,[status(thm)],[])).
% 9.39/6.92 tff(26315,plain,
% 9.39/6.92 (v141(constB21) <=> (~((~v39(constB21)) | (~v9(constB21))))),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26314, 130])).
% 9.39/6.92 tff(26316,plain,
% 9.39/6.92 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB21, constB22)) | (v13(constB22) <=> v9(constB21)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB21, constB22)) | (v13(constB22) <=> v9(constB21)))),
% 9.39/6.92 inference(rewrite,[status(thm)],[])).
% 9.39/6.92 tff(26317,plain,
% 9.39/6.92 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB21, constB22)) | (v13(constB22) <=> v9(constB21)))),
% 9.39/6.92 inference(quant_inst,[status(thm)],[])).
% 9.39/6.92 tff(26318,plain,
% 9.39/6.92 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB21, constB22)) | (v13(constB22) <=> v9(constB21))),
% 9.39/6.92 inference(modus_ponens,[status(thm)],[26317, 26316])).
% 9.39/6.92 tff(26319,plain,
% 9.39/6.92 (v13(constB22) <=> v9(constB21)),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26318, 8753, 226])).
% 9.39/6.92 tff(26320,plain,
% 9.39/6.92 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB22) <=> v13(constB22))),
% 9.39/6.92 inference(quant_inst,[status(thm)],[])).
% 9.39/6.92 tff(26321,plain,
% 9.39/6.92 (v6(constB22) <=> v13(constB22)),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26320, 240])).
% 9.39/6.92 tff(26322,plain,
% 9.39/6.92 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB22)) <=> v6(constB22))),
% 9.39/6.92 inference(quant_inst,[status(thm)],[])).
% 9.39/6.92 tff(26323,plain,
% 9.39/6.92 ((~v21(constB22)) <=> v6(constB22)),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26322, 249])).
% 9.39/6.92 tff(26324,plain,
% 9.39/6.92 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB22) <=> (v20(constB22) | v21(constB22)))),
% 9.39/6.92 inference(quant_inst,[status(thm)],[])).
% 9.39/6.92 tff(26325,plain,
% 9.39/6.92 (v19(constB22) <=> (v20(constB22) | v21(constB22))),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26324, 258])).
% 9.39/6.92 tff(26326,plain,
% 9.39/6.92 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB22) <=> (~((~v19(constB22)) | (~v22(constB22)))))),
% 9.39/6.92 inference(quant_inst,[status(thm)],[])).
% 9.39/6.92 tff(26327,plain,
% 9.39/6.92 (v18(constB22) <=> (~((~v19(constB22)) | (~v22(constB22))))),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26326, 270])).
% 9.39/6.92 tff(26328,plain,
% 9.39/6.92 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB22)) <=> v18(constB22))),
% 9.39/6.92 inference(quant_inst,[status(thm)],[])).
% 9.39/6.92 tff(26329,plain,
% 9.39/6.92 ((~v4(constB22)) <=> v18(constB22)),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26328, 279])).
% 9.39/6.92 tff(26330,plain,
% 9.39/6.92 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB22)),
% 9.39/6.92 inference(quant_inst,[status(thm)],[])).
% 9.39/6.92 tff(26331,plain,
% 9.39/6.92 (v4(constB22)),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26330, 288])).
% 9.39/6.92 tff(26332,plain,
% 9.39/6.92 ((~((~v4(constB22)) <=> v18(constB22))) | (~v4(constB22)) | (~v18(constB22))),
% 9.39/6.92 inference(tautology,[status(thm)],[])).
% 9.39/6.92 tff(26333,plain,
% 9.39/6.92 (~v18(constB22)),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26332, 26331, 26329])).
% 9.39/6.92 tff(26334,plain,
% 9.39/6.92 ((~(v18(constB22) <=> (~((~v19(constB22)) | (~v22(constB22)))))) | v18(constB22) | ((~v19(constB22)) | (~v22(constB22)))),
% 9.39/6.92 inference(tautology,[status(thm)],[])).
% 9.39/6.92 tff(26335,plain,
% 9.39/6.92 ((~v19(constB22)) | (~v22(constB22))),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26334, 26333, 26327])).
% 9.39/6.92 tff(26336,plain,
% 9.39/6.92 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB22) <=> (v1(constB22) | v6(constB22)))),
% 9.39/6.92 inference(quant_inst,[status(thm)],[])).
% 9.39/6.92 tff(26337,plain,
% 9.39/6.92 (v22(constB22) <=> (v1(constB22) | v6(constB22))),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26336, 301])).
% 9.39/6.92 tff(26338,plain,
% 9.39/6.92 ((v1(constB22) | v6(constB22)) | (~v1(constB22))),
% 9.39/6.92 inference(tautology,[status(thm)],[])).
% 9.39/6.92 tff(26339,plain,
% 9.39/6.92 (v1(constB22) | v6(constB22)),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26338, 8783])).
% 9.39/6.92 tff(26340,plain,
% 9.39/6.92 ((~(v22(constB22) <=> (v1(constB22) | v6(constB22)))) | v22(constB22) | (~(v1(constB22) | v6(constB22)))),
% 9.39/6.92 inference(tautology,[status(thm)],[])).
% 9.39/6.92 tff(26341,plain,
% 9.39/6.92 ((~(v22(constB22) <=> (v1(constB22) | v6(constB22)))) | v22(constB22)),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26340, 26339])).
% 9.39/6.92 tff(26342,plain,
% 9.39/6.92 (v22(constB22)),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26341, 26337])).
% 9.39/6.92 tff(26343,plain,
% 9.39/6.92 ((~((~v19(constB22)) | (~v22(constB22)))) | (~v19(constB22)) | (~v22(constB22))),
% 9.39/6.92 inference(tautology,[status(thm)],[])).
% 9.39/6.92 tff(26344,plain,
% 9.39/6.92 ((~((~v19(constB22)) | (~v22(constB22)))) | (~v19(constB22))),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26343, 26342])).
% 9.39/6.92 tff(26345,plain,
% 9.39/6.92 (~v19(constB22)),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26344, 26335])).
% 9.39/6.92 tff(26346,plain,
% 9.39/6.92 ((~(v19(constB22) <=> (v20(constB22) | v21(constB22)))) | v19(constB22) | (~(v20(constB22) | v21(constB22)))),
% 9.39/6.92 inference(tautology,[status(thm)],[])).
% 9.39/6.92 tff(26347,plain,
% 9.39/6.92 (~(v20(constB22) | v21(constB22))),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26346, 26345, 26325])).
% 9.39/6.92 tff(26348,plain,
% 9.39/6.92 ((v20(constB22) | v21(constB22)) | (~v21(constB22))),
% 9.39/6.92 inference(tautology,[status(thm)],[])).
% 9.39/6.92 tff(26349,plain,
% 9.39/6.92 (~v21(constB22)),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26348, 26347])).
% 9.39/6.92 tff(26350,plain,
% 9.39/6.92 ((~((~v21(constB22)) <=> v6(constB22))) | v21(constB22) | v6(constB22)),
% 9.39/6.92 inference(tautology,[status(thm)],[])).
% 9.39/6.92 tff(26351,plain,
% 9.39/6.92 (v6(constB22)),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26350, 26349, 26323])).
% 9.39/6.92 tff(26352,plain,
% 9.39/6.92 ((~(v6(constB22) <=> v13(constB22))) | (~v6(constB22)) | v13(constB22)),
% 9.39/6.92 inference(tautology,[status(thm)],[])).
% 9.39/6.92 tff(26353,plain,
% 9.39/6.92 (v13(constB22)),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26352, 26351, 26321])).
% 9.39/6.92 tff(26354,plain,
% 9.39/6.92 ((~(v13(constB22) <=> v9(constB21))) | (~v13(constB22)) | v9(constB21)),
% 9.39/6.92 inference(tautology,[status(thm)],[])).
% 9.39/6.92 tff(26355,plain,
% 9.39/6.92 (v9(constB21)),
% 9.39/6.92 inference(unit_resolution,[status(thm)],[26354, 26353, 26319])).
% 9.39/6.93 tff(26356,plain,
% 9.39/6.93 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB21)) <=> v1(constB21))),
% 9.39/6.93 inference(quant_inst,[status(thm)],[])).
% 9.39/6.93 tff(26357,plain,
% 9.39/6.93 ((~v39(constB21)) <=> v1(constB21)),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26356, 139])).
% 9.39/6.93 tff(26358,plain,
% 9.39/6.93 ((~((~v39(constB21)) <=> v1(constB21))) | v39(constB21) | v1(constB21)),
% 9.39/6.93 inference(tautology,[status(thm)],[])).
% 9.39/6.93 tff(26359,plain,
% 9.39/6.93 ((~((~v39(constB21)) <=> v1(constB21))) | v39(constB21)),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26358, 8775])).
% 9.39/6.93 tff(26360,plain,
% 9.39/6.93 (v39(constB21)),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26359, 26357])).
% 9.39/6.93 tff(26361,plain,
% 9.39/6.93 ((~((~v39(constB21)) | (~v9(constB21)))) | (~v39(constB21)) | (~v9(constB21))),
% 9.39/6.93 inference(tautology,[status(thm)],[])).
% 9.39/6.93 tff(26362,plain,
% 9.39/6.93 ((~((~v39(constB21)) | (~v9(constB21)))) | (~v9(constB21))),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26361, 26360])).
% 9.39/6.93 tff(26363,plain,
% 9.39/6.93 (~((~v39(constB21)) | (~v9(constB21)))),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26362, 26355])).
% 9.39/6.93 tff(26364,plain,
% 9.39/6.93 ((~(v141(constB21) <=> (~((~v39(constB21)) | (~v9(constB21)))))) | v141(constB21) | ((~v39(constB21)) | (~v9(constB21)))),
% 9.39/6.93 inference(tautology,[status(thm)],[])).
% 9.39/6.93 tff(26365,plain,
% 9.39/6.93 (v141(constB21)),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26364, 26363, 26315])).
% 9.39/6.93 tff(26366,plain,
% 9.39/6.93 ((v141(constB21) | v26(constB21)) | (~v141(constB21))),
% 9.39/6.93 inference(tautology,[status(thm)],[])).
% 9.39/6.93 tff(26367,plain,
% 9.39/6.93 (v141(constB21) | v26(constB21)),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26366, 26365])).
% 9.39/6.93 tff(26368,plain,
% 9.39/6.93 ((~(v140(constB21) <=> (v141(constB21) | v26(constB21)))) | v140(constB21) | (~(v141(constB21) | v26(constB21)))),
% 9.39/6.93 inference(tautology,[status(thm)],[])).
% 9.39/6.93 tff(26369,plain,
% 9.39/6.93 (v140(constB21)),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26368, 26367, 26313])).
% 9.39/6.93 tff(26370,plain,
% 9.39/6.93 ((~((~v139(constB21)) <=> v140(constB21))) | (~v139(constB21)) | (~v140(constB21))),
% 9.39/6.93 inference(tautology,[status(thm)],[])).
% 9.39/6.93 tff(26371,plain,
% 9.39/6.93 (~v139(constB21)),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26370, 26369, 26311])).
% 9.39/6.93 tff(26372,plain,
% 9.39/6.93 (((~v130(constB21)) | (~v139(constB21))) | v139(constB21)),
% 9.39/6.93 inference(tautology,[status(thm)],[])).
% 9.39/6.93 tff(26373,plain,
% 9.39/6.93 ((~v130(constB21)) | (~v139(constB21))),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26372, 26371])).
% 9.39/6.93 tff(26374,plain,
% 9.39/6.93 ((~(v155(constB21) <=> (~((~v130(constB21)) | (~v139(constB21)))))) | (~v155(constB21)) | (~((~v130(constB21)) | (~v139(constB21))))),
% 9.39/6.93 inference(tautology,[status(thm)],[])).
% 9.39/6.93 tff(26375,plain,
% 9.39/6.93 (~v155(constB21)),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26374, 26373, 26309])).
% 9.39/6.93 tff(26376,plain,
% 9.39/6.93 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB21) <=> (~((~v132(constB21)) | (~v154(constB21)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB21) <=> (~((~v132(constB21)) | (~v154(constB21))))))),
% 9.39/6.93 inference(rewrite,[status(thm)],[])).
% 9.39/6.93 tff(26377,plain,
% 9.39/6.93 ((v153(constB21) <=> (~((~v154(constB21)) | (~v132(constB21))))) <=> (v153(constB21) <=> (~((~v132(constB21)) | (~v154(constB21)))))),
% 9.39/6.93 inference(rewrite,[status(thm)],[])).
% 9.39/6.93 tff(26378,plain,
% 9.39/6.93 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB21) <=> (~((~v154(constB21)) | (~v132(constB21)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB21) <=> (~((~v132(constB21)) | (~v154(constB21))))))),
% 9.39/6.93 inference(monotonicity,[status(thm)],[26377])).
% 9.39/6.93 tff(26379,plain,
% 9.39/6.93 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB21) <=> (~((~v154(constB21)) | (~v132(constB21)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB21) <=> (~((~v132(constB21)) | (~v154(constB21))))))),
% 9.39/6.93 inference(transitivity,[status(thm)],[26378, 26376])).
% 9.39/6.93 tff(26380,plain,
% 9.39/6.93 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB21) <=> (~((~v154(constB21)) | (~v132(constB21)))))),
% 9.39/6.93 inference(quant_inst,[status(thm)],[])).
% 9.39/6.93 tff(26381,plain,
% 9.39/6.93 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB21) <=> (~((~v132(constB21)) | (~v154(constB21)))))),
% 9.39/6.93 inference(modus_ponens,[status(thm)],[26380, 26379])).
% 9.39/6.93 tff(26382,plain,
% 9.39/6.93 (v153(constB21) <=> (~((~v132(constB21)) | (~v154(constB21))))),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26381, 399])).
% 9.39/6.93 tff(26383,plain,
% 9.39/6.93 ((~![VarNext: $i] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB21) <=> v137(constB21))),
% 9.39/6.93 inference(quant_inst,[status(thm)],[])).
% 9.39/6.93 tff(26384,plain,
% 9.39/6.93 (v132(constB21) <=> v137(constB21)),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26383, 558])).
% 9.39/6.93 tff(26385,plain,
% 9.39/6.93 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB20, constB21)) | (v137(constB21) <=> v135(constB20)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB20, constB21)) | (v137(constB21) <=> v135(constB20)))),
% 9.39/6.93 inference(rewrite,[status(thm)],[])).
% 9.39/6.93 tff(26386,plain,
% 9.39/6.93 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB20, constB21)) | (v137(constB21) <=> v135(constB20)))),
% 9.39/6.93 inference(quant_inst,[status(thm)],[])).
% 9.39/6.93 tff(26387,plain,
% 9.39/6.93 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB20, constB21)) | (v137(constB21) <=> v135(constB20))),
% 9.39/6.93 inference(modus_ponens,[status(thm)],[26386, 26385])).
% 9.39/6.93 tff(26388,plain,
% 9.39/6.93 (v137(constB21) <=> v135(constB20)),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26387, 8812, 570])).
% 9.39/6.93 tff(26389,plain,
% 9.39/6.93 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB20) <=> (v138(constB20) | v142(constB20)))),
% 9.39/6.93 inference(quant_inst,[status(thm)],[])).
% 9.39/6.93 tff(26390,plain,
% 9.39/6.93 (v135(constB20) <=> (v138(constB20) | v142(constB20))),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26389, 584])).
% 9.39/6.93 tff(26391,plain,
% 9.39/6.93 ((~![VarCurr: $i] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB20) <=> (~((~v143(constB20)) | (~v144(constB20)))))),
% 9.39/6.93 inference(quant_inst,[status(thm)],[])).
% 9.39/6.93 tff(26392,plain,
% 9.39/6.93 (v142(constB20) <=> (~((~v143(constB20)) | (~v144(constB20))))),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26391, 596])).
% 9.39/6.93 tff(26393,plain,
% 9.39/6.93 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB20) <=> (~((~v141(constB20)) | (~v145(constB20)))))),
% 9.39/6.93 inference(quant_inst,[status(thm)],[])).
% 9.39/6.93 tff(26394,plain,
% 9.39/6.93 (v144(constB20) <=> (~((~v141(constB20)) | (~v145(constB20))))),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26393, 608])).
% 9.39/6.93 tff(26395,plain,
% 9.39/6.93 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB20) <=> (~((~v39(constB20)) | (~v9(constB20)))))),
% 9.39/6.93 inference(quant_inst,[status(thm)],[])).
% 9.39/6.93 tff(26396,plain,
% 9.39/6.93 (v141(constB20) <=> (~((~v39(constB20)) | (~v9(constB20))))),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26395, 130])).
% 9.39/6.93 tff(26397,plain,
% 9.39/6.93 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB20)) <=> v1(constB20))),
% 9.39/6.93 inference(quant_inst,[status(thm)],[])).
% 9.39/6.93 tff(26398,plain,
% 9.39/6.93 ((~v39(constB20)) <=> v1(constB20)),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26397, 139])).
% 9.39/6.93 tff(26399,plain,
% 9.39/6.93 ((~((~v39(constB20)) <=> v1(constB20))) | (~v39(constB20)) | (~v1(constB20))),
% 9.39/6.93 inference(tautology,[status(thm)],[])).
% 9.39/6.93 tff(26400,plain,
% 9.39/6.93 ((~((~v39(constB20)) <=> v1(constB20))) | (~v39(constB20))),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26399, 8874])).
% 9.39/6.93 tff(26401,plain,
% 9.39/6.93 (~v39(constB20)),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26400, 26398])).
% 9.39/6.93 tff(26402,plain,
% 9.39/6.93 (((~v39(constB20)) | (~v9(constB20))) | v39(constB20)),
% 9.39/6.93 inference(tautology,[status(thm)],[])).
% 9.39/6.93 tff(26403,plain,
% 9.39/6.93 ((~v39(constB20)) | (~v9(constB20))),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26402, 26401])).
% 9.39/6.93 tff(26404,plain,
% 9.39/6.93 ((~(v141(constB20) <=> (~((~v39(constB20)) | (~v9(constB20)))))) | (~v141(constB20)) | (~((~v39(constB20)) | (~v9(constB20))))),
% 9.39/6.93 inference(tautology,[status(thm)],[])).
% 9.39/6.93 tff(26405,plain,
% 9.39/6.93 ((~(v141(constB20) <=> (~((~v39(constB20)) | (~v9(constB20)))))) | (~v141(constB20))),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26404, 26403])).
% 9.39/6.93 tff(26406,plain,
% 9.39/6.93 (~v141(constB20)),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26405, 26396])).
% 9.39/6.93 tff(26407,plain,
% 9.39/6.93 (((~v141(constB20)) | (~v145(constB20))) | v141(constB20)),
% 9.39/6.93 inference(tautology,[status(thm)],[])).
% 9.39/6.93 tff(26408,plain,
% 9.39/6.93 ((~v141(constB20)) | (~v145(constB20))),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26407, 26406])).
% 9.39/6.93 tff(26409,plain,
% 9.39/6.93 ((~(v144(constB20) <=> (~((~v141(constB20)) | (~v145(constB20)))))) | (~v144(constB20)) | (~((~v141(constB20)) | (~v145(constB20))))),
% 9.39/6.93 inference(tautology,[status(thm)],[])).
% 9.39/6.93 tff(26410,plain,
% 9.39/6.93 ((~(v144(constB20) <=> (~((~v141(constB20)) | (~v145(constB20)))))) | (~v144(constB20))),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26409, 26408])).
% 9.39/6.93 tff(26411,plain,
% 9.39/6.93 (~v144(constB20)),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26410, 26394])).
% 9.39/6.93 tff(26412,plain,
% 9.39/6.93 (((~v143(constB20)) | (~v144(constB20))) | v144(constB20)),
% 9.39/6.93 inference(tautology,[status(thm)],[])).
% 9.39/6.93 tff(26413,plain,
% 9.39/6.93 ((~v143(constB20)) | (~v144(constB20))),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26412, 26411])).
% 9.39/6.93 tff(26414,plain,
% 9.39/6.93 ((~(v142(constB20) <=> (~((~v143(constB20)) | (~v144(constB20)))))) | (~v142(constB20)) | (~((~v143(constB20)) | (~v144(constB20))))),
% 9.39/6.93 inference(tautology,[status(thm)],[])).
% 9.39/6.93 tff(26415,plain,
% 9.39/6.93 (~v142(constB20)),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26414, 26413, 26392])).
% 9.39/6.93 tff(26416,plain,
% 9.39/6.93 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB20) <=> (~((~v132(constB20)) | (~v139(constB20)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB20) <=> (~((~v132(constB20)) | (~v139(constB20))))))),
% 9.39/6.93 inference(rewrite,[status(thm)],[])).
% 9.39/6.93 tff(26417,plain,
% 9.39/6.93 ((v138(constB20) <=> (~((~v139(constB20)) | (~v132(constB20))))) <=> (v138(constB20) <=> (~((~v132(constB20)) | (~v139(constB20)))))),
% 9.39/6.93 inference(rewrite,[status(thm)],[])).
% 9.39/6.93 tff(26418,plain,
% 9.39/6.93 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB20) <=> (~((~v139(constB20)) | (~v132(constB20)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB20) <=> (~((~v132(constB20)) | (~v139(constB20))))))),
% 9.39/6.93 inference(monotonicity,[status(thm)],[26417])).
% 9.39/6.93 tff(26419,plain,
% 9.39/6.93 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB20) <=> (~((~v139(constB20)) | (~v132(constB20)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB20) <=> (~((~v132(constB20)) | (~v139(constB20))))))),
% 9.39/6.93 inference(transitivity,[status(thm)],[26418, 26416])).
% 9.39/6.93 tff(26420,plain,
% 9.39/6.93 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB20) <=> (~((~v139(constB20)) | (~v132(constB20)))))),
% 9.39/6.93 inference(quant_inst,[status(thm)],[])).
% 9.39/6.93 tff(26421,plain,
% 9.39/6.93 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB20) <=> (~((~v132(constB20)) | (~v139(constB20)))))),
% 9.39/6.93 inference(modus_ponens,[status(thm)],[26420, 26419])).
% 9.39/6.93 tff(26422,plain,
% 9.39/6.93 (v138(constB20) <=> (~((~v132(constB20)) | (~v139(constB20))))),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26421, 644])).
% 9.39/6.93 tff(26423,plain,
% 9.39/6.93 ((~![VarNext: $i] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB20) <=> v137(constB20))),
% 9.39/6.93 inference(quant_inst,[status(thm)],[])).
% 9.39/6.93 tff(26424,plain,
% 9.39/6.93 (v132(constB20) <=> v137(constB20)),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26423, 558])).
% 9.39/6.93 tff(26425,plain,
% 9.39/6.93 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB19, constB20)) | (v137(constB20) <=> v135(constB19)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB19, constB20)) | (v137(constB20) <=> v135(constB19)))),
% 9.39/6.93 inference(rewrite,[status(thm)],[])).
% 9.39/6.93 tff(26426,plain,
% 9.39/6.93 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB19, constB20)) | (v137(constB20) <=> v135(constB19)))),
% 9.39/6.93 inference(quant_inst,[status(thm)],[])).
% 9.39/6.93 tff(26427,plain,
% 9.39/6.93 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB19, constB20)) | (v137(constB20) <=> v135(constB19))),
% 9.39/6.93 inference(modus_ponens,[status(thm)],[26426, 26425])).
% 9.39/6.93 tff(26428,plain,
% 9.39/6.93 (v137(constB20) <=> v135(constB19)),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26427, 8844, 570])).
% 9.39/6.93 tff(26429,plain,
% 9.39/6.93 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB19) <=> (v138(constB19) | v142(constB19)))),
% 9.39/6.93 inference(quant_inst,[status(thm)],[])).
% 9.39/6.93 tff(26430,plain,
% 9.39/6.93 (v135(constB19) <=> (v138(constB19) | v142(constB19))),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26429, 584])).
% 9.39/6.93 tff(26431,plain,
% 9.39/6.93 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB19) <=> (~((~v132(constB19)) | (~v139(constB19)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB19) <=> (~((~v132(constB19)) | (~v139(constB19))))))),
% 9.39/6.93 inference(rewrite,[status(thm)],[])).
% 9.39/6.93 tff(26432,plain,
% 9.39/6.93 ((v138(constB19) <=> (~((~v139(constB19)) | (~v132(constB19))))) <=> (v138(constB19) <=> (~((~v132(constB19)) | (~v139(constB19)))))),
% 9.39/6.93 inference(rewrite,[status(thm)],[])).
% 9.39/6.93 tff(26433,plain,
% 9.39/6.93 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB19) <=> (~((~v139(constB19)) | (~v132(constB19)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB19) <=> (~((~v132(constB19)) | (~v139(constB19))))))),
% 9.39/6.93 inference(monotonicity,[status(thm)],[26432])).
% 9.39/6.93 tff(26434,plain,
% 9.39/6.93 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB19) <=> (~((~v139(constB19)) | (~v132(constB19)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB19) <=> (~((~v132(constB19)) | (~v139(constB19))))))),
% 9.39/6.93 inference(transitivity,[status(thm)],[26433, 26431])).
% 9.39/6.93 tff(26435,plain,
% 9.39/6.93 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB19) <=> (~((~v139(constB19)) | (~v132(constB19)))))),
% 9.39/6.93 inference(quant_inst,[status(thm)],[])).
% 9.39/6.93 tff(26436,plain,
% 9.39/6.93 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB19) <=> (~((~v132(constB19)) | (~v139(constB19)))))),
% 9.39/6.93 inference(modus_ponens,[status(thm)],[26435, 26434])).
% 9.39/6.93 tff(26437,plain,
% 9.39/6.93 (v138(constB19) <=> (~((~v132(constB19)) | (~v139(constB19))))),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26436, 644])).
% 9.39/6.93 tff(26438,plain,
% 9.39/6.93 ((~![VarCurr: $i] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB19)) <=> v140(constB19))),
% 9.39/6.93 inference(quant_inst,[status(thm)],[])).
% 9.39/6.93 tff(26439,plain,
% 9.39/6.93 ((~v139(constB19)) <=> v140(constB19)),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26438, 203])).
% 9.39/6.93 tff(26440,plain,
% 9.39/6.93 ((~![VarCurr: $i] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB19) <=> (v141(constB19) | v26(constB19)))),
% 9.39/6.93 inference(quant_inst,[status(thm)],[])).
% 9.39/6.93 tff(26441,plain,
% 9.39/6.93 (v140(constB19) <=> (v141(constB19) | v26(constB19))),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26440, 212])).
% 9.39/6.93 tff(26442,plain,
% 9.39/6.93 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB19) <=> (~((~v39(constB19)) | (~v9(constB19)))))),
% 9.39/6.93 inference(quant_inst,[status(thm)],[])).
% 9.39/6.93 tff(26443,plain,
% 9.39/6.93 (v141(constB19) <=> (~((~v39(constB19)) | (~v9(constB19))))),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26442, 130])).
% 9.39/6.93 tff(26444,plain,
% 9.39/6.93 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB19, constB20)) | (v13(constB20) <=> v9(constB19)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB19, constB20)) | (v13(constB20) <=> v9(constB19)))),
% 9.39/6.93 inference(rewrite,[status(thm)],[])).
% 9.39/6.93 tff(26445,plain,
% 9.39/6.93 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB19, constB20)) | (v13(constB20) <=> v9(constB19)))),
% 9.39/6.93 inference(quant_inst,[status(thm)],[])).
% 9.39/6.93 tff(26446,plain,
% 9.39/6.93 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB19, constB20)) | (v13(constB20) <=> v9(constB19))),
% 9.39/6.93 inference(modus_ponens,[status(thm)],[26445, 26444])).
% 9.39/6.93 tff(26447,plain,
% 9.39/6.93 (v13(constB20) <=> v9(constB19)),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26446, 8844, 226])).
% 9.39/6.93 tff(26448,plain,
% 9.39/6.93 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB20) <=> v13(constB20))),
% 9.39/6.93 inference(quant_inst,[status(thm)],[])).
% 9.39/6.93 tff(26449,plain,
% 9.39/6.93 (v6(constB20) <=> v13(constB20)),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26448, 240])).
% 9.39/6.93 tff(26450,plain,
% 9.39/6.93 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB20)) <=> v6(constB20))),
% 9.39/6.93 inference(quant_inst,[status(thm)],[])).
% 9.39/6.93 tff(26451,plain,
% 9.39/6.93 ((~v21(constB20)) <=> v6(constB20)),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26450, 249])).
% 9.39/6.93 tff(26452,plain,
% 9.39/6.93 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB20) <=> (v20(constB20) | v21(constB20)))),
% 9.39/6.93 inference(quant_inst,[status(thm)],[])).
% 9.39/6.93 tff(26453,plain,
% 9.39/6.93 (v19(constB20) <=> (v20(constB20) | v21(constB20))),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26452, 258])).
% 9.39/6.93 tff(26454,plain,
% 9.39/6.93 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB20) <=> (~((~v19(constB20)) | (~v22(constB20)))))),
% 9.39/6.93 inference(quant_inst,[status(thm)],[])).
% 9.39/6.93 tff(26455,plain,
% 9.39/6.93 (v18(constB20) <=> (~((~v19(constB20)) | (~v22(constB20))))),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26454, 270])).
% 9.39/6.93 tff(26456,plain,
% 9.39/6.93 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB20)) <=> v18(constB20))),
% 9.39/6.93 inference(quant_inst,[status(thm)],[])).
% 9.39/6.93 tff(26457,plain,
% 9.39/6.93 ((~v4(constB20)) <=> v18(constB20)),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26456, 279])).
% 9.39/6.93 tff(26458,plain,
% 9.39/6.93 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB20)),
% 9.39/6.93 inference(quant_inst,[status(thm)],[])).
% 9.39/6.93 tff(26459,plain,
% 9.39/6.93 (v4(constB20)),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26458, 288])).
% 9.39/6.93 tff(26460,plain,
% 9.39/6.93 ((~((~v4(constB20)) <=> v18(constB20))) | (~v4(constB20)) | (~v18(constB20))),
% 9.39/6.93 inference(tautology,[status(thm)],[])).
% 9.39/6.93 tff(26461,plain,
% 9.39/6.93 (~v18(constB20)),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26460, 26459, 26457])).
% 9.39/6.93 tff(26462,plain,
% 9.39/6.93 ((~(v18(constB20) <=> (~((~v19(constB20)) | (~v22(constB20)))))) | v18(constB20) | ((~v19(constB20)) | (~v22(constB20)))),
% 9.39/6.93 inference(tautology,[status(thm)],[])).
% 9.39/6.93 tff(26463,plain,
% 9.39/6.93 ((~v19(constB20)) | (~v22(constB20))),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26462, 26461, 26455])).
% 9.39/6.93 tff(26464,plain,
% 9.39/6.93 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB20) <=> (v1(constB20) | v6(constB20)))),
% 9.39/6.93 inference(quant_inst,[status(thm)],[])).
% 9.39/6.93 tff(26465,plain,
% 9.39/6.93 (v22(constB20) <=> (v1(constB20) | v6(constB20))),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26464, 301])).
% 9.39/6.93 tff(26466,plain,
% 9.39/6.93 ((v1(constB20) | v6(constB20)) | (~v1(constB20))),
% 9.39/6.93 inference(tautology,[status(thm)],[])).
% 9.39/6.93 tff(26467,plain,
% 9.39/6.93 (v1(constB20) | v6(constB20)),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26466, 8874])).
% 9.39/6.93 tff(26468,plain,
% 9.39/6.93 ((~(v22(constB20) <=> (v1(constB20) | v6(constB20)))) | v22(constB20) | (~(v1(constB20) | v6(constB20)))),
% 9.39/6.93 inference(tautology,[status(thm)],[])).
% 9.39/6.93 tff(26469,plain,
% 9.39/6.93 ((~(v22(constB20) <=> (v1(constB20) | v6(constB20)))) | v22(constB20)),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26468, 26467])).
% 9.39/6.93 tff(26470,plain,
% 9.39/6.93 (v22(constB20)),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26469, 26465])).
% 9.39/6.93 tff(26471,plain,
% 9.39/6.93 ((~((~v19(constB20)) | (~v22(constB20)))) | (~v19(constB20)) | (~v22(constB20))),
% 9.39/6.93 inference(tautology,[status(thm)],[])).
% 9.39/6.93 tff(26472,plain,
% 9.39/6.93 ((~((~v19(constB20)) | (~v22(constB20)))) | (~v19(constB20))),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26471, 26470])).
% 9.39/6.93 tff(26473,plain,
% 9.39/6.93 (~v19(constB20)),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26472, 26463])).
% 9.39/6.93 tff(26474,plain,
% 9.39/6.93 ((~(v19(constB20) <=> (v20(constB20) | v21(constB20)))) | v19(constB20) | (~(v20(constB20) | v21(constB20)))),
% 9.39/6.93 inference(tautology,[status(thm)],[])).
% 9.39/6.93 tff(26475,plain,
% 9.39/6.93 (~(v20(constB20) | v21(constB20))),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26474, 26473, 26453])).
% 9.39/6.93 tff(26476,plain,
% 9.39/6.93 ((v20(constB20) | v21(constB20)) | (~v21(constB20))),
% 9.39/6.93 inference(tautology,[status(thm)],[])).
% 9.39/6.93 tff(26477,plain,
% 9.39/6.93 (~v21(constB20)),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26476, 26475])).
% 9.39/6.93 tff(26478,plain,
% 9.39/6.93 ((~((~v21(constB20)) <=> v6(constB20))) | v21(constB20) | v6(constB20)),
% 9.39/6.93 inference(tautology,[status(thm)],[])).
% 9.39/6.93 tff(26479,plain,
% 9.39/6.93 (v6(constB20)),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26478, 26477, 26451])).
% 9.39/6.93 tff(26480,plain,
% 9.39/6.93 ((~(v6(constB20) <=> v13(constB20))) | (~v6(constB20)) | v13(constB20)),
% 9.39/6.93 inference(tautology,[status(thm)],[])).
% 9.39/6.93 tff(26481,plain,
% 9.39/6.93 (v13(constB20)),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26480, 26479, 26449])).
% 9.39/6.93 tff(26482,plain,
% 9.39/6.93 ((~(v13(constB20) <=> v9(constB19))) | (~v13(constB20)) | v9(constB19)),
% 9.39/6.93 inference(tautology,[status(thm)],[])).
% 9.39/6.93 tff(26483,plain,
% 9.39/6.93 (v9(constB19)),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26482, 26481, 26447])).
% 9.39/6.93 tff(26484,plain,
% 9.39/6.93 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB19)) <=> v1(constB19))),
% 9.39/6.93 inference(quant_inst,[status(thm)],[])).
% 9.39/6.93 tff(26485,plain,
% 9.39/6.93 ((~v39(constB19)) <=> v1(constB19)),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26484, 139])).
% 9.39/6.93 tff(26486,plain,
% 9.39/6.93 ((~((~v39(constB19)) <=> v1(constB19))) | v39(constB19) | v1(constB19)),
% 9.39/6.93 inference(tautology,[status(thm)],[])).
% 9.39/6.93 tff(26487,plain,
% 9.39/6.93 ((~((~v39(constB19)) <=> v1(constB19))) | v39(constB19)),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26486, 8866])).
% 9.39/6.93 tff(26488,plain,
% 9.39/6.93 (v39(constB19)),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26487, 26485])).
% 9.39/6.93 tff(26489,plain,
% 9.39/6.93 ((~((~v39(constB19)) | (~v9(constB19)))) | (~v39(constB19)) | (~v9(constB19))),
% 9.39/6.93 inference(tautology,[status(thm)],[])).
% 9.39/6.93 tff(26490,plain,
% 9.39/6.93 ((~((~v39(constB19)) | (~v9(constB19)))) | (~v9(constB19))),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26489, 26488])).
% 9.39/6.93 tff(26491,plain,
% 9.39/6.93 (~((~v39(constB19)) | (~v9(constB19)))),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26490, 26483])).
% 9.39/6.93 tff(26492,plain,
% 9.39/6.93 ((~(v141(constB19) <=> (~((~v39(constB19)) | (~v9(constB19)))))) | v141(constB19) | ((~v39(constB19)) | (~v9(constB19)))),
% 9.39/6.93 inference(tautology,[status(thm)],[])).
% 9.39/6.93 tff(26493,plain,
% 9.39/6.93 (v141(constB19)),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26492, 26491, 26443])).
% 9.39/6.93 tff(26494,plain,
% 9.39/6.93 ((v141(constB19) | v26(constB19)) | (~v141(constB19))),
% 9.39/6.93 inference(tautology,[status(thm)],[])).
% 9.39/6.93 tff(26495,plain,
% 9.39/6.93 (v141(constB19) | v26(constB19)),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26494, 26493])).
% 9.39/6.93 tff(26496,plain,
% 9.39/6.93 ((~(v140(constB19) <=> (v141(constB19) | v26(constB19)))) | v140(constB19) | (~(v141(constB19) | v26(constB19)))),
% 9.39/6.93 inference(tautology,[status(thm)],[])).
% 9.39/6.93 tff(26497,plain,
% 9.39/6.93 (v140(constB19)),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26496, 26495, 26441])).
% 9.39/6.93 tff(26498,plain,
% 9.39/6.93 ((~((~v139(constB19)) <=> v140(constB19))) | (~v139(constB19)) | (~v140(constB19))),
% 9.39/6.93 inference(tautology,[status(thm)],[])).
% 9.39/6.93 tff(26499,plain,
% 9.39/6.93 (~v139(constB19)),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26498, 26497, 26439])).
% 9.39/6.93 tff(26500,plain,
% 9.39/6.93 (((~v132(constB19)) | (~v139(constB19))) | v139(constB19)),
% 9.39/6.93 inference(tautology,[status(thm)],[])).
% 9.39/6.93 tff(26501,plain,
% 9.39/6.93 ((~v132(constB19)) | (~v139(constB19))),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26500, 26499])).
% 9.39/6.93 tff(26502,plain,
% 9.39/6.93 ((~(v138(constB19) <=> (~((~v132(constB19)) | (~v139(constB19)))))) | (~v138(constB19)) | (~((~v132(constB19)) | (~v139(constB19))))),
% 9.39/6.93 inference(tautology,[status(thm)],[])).
% 9.39/6.93 tff(26503,plain,
% 9.39/6.93 (~v138(constB19)),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26502, 26501, 26437])).
% 9.39/6.93 tff(26504,plain,
% 9.39/6.93 ((~![VarCurr: $i] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB19) <=> (~((~v143(constB19)) | (~v144(constB19)))))),
% 9.39/6.93 inference(quant_inst,[status(thm)],[])).
% 9.39/6.93 tff(26505,plain,
% 9.39/6.93 (v142(constB19) <=> (~((~v143(constB19)) | (~v144(constB19))))),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26504, 596])).
% 9.39/6.93 tff(26506,plain,
% 9.39/6.93 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB19) <=> (~((~v141(constB19)) | (~v145(constB19)))))),
% 9.39/6.93 inference(quant_inst,[status(thm)],[])).
% 9.39/6.93 tff(26507,plain,
% 9.39/6.93 (v144(constB19) <=> (~((~v141(constB19)) | (~v145(constB19))))),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26506, 608])).
% 9.39/6.93 tff(26508,plain,
% 9.39/6.93 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB19) <=> (~(v84(constB19, bitIndex2) | v84(constB19, bitIndex1) | (~v84(constB19, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB19) <=> (~(v84(constB19, bitIndex2) | v84(constB19, bitIndex1) | (~v84(constB19, bitIndex0))))))),
% 9.39/6.93 inference(rewrite,[status(thm)],[])).
% 9.39/6.93 tff(26509,plain,
% 9.39/6.93 ((v145(constB19) <=> (~(v84(constB19, bitIndex1) | v84(constB19, bitIndex2) | (~v84(constB19, bitIndex0))))) <=> (v145(constB19) <=> (~(v84(constB19, bitIndex2) | v84(constB19, bitIndex1) | (~v84(constB19, bitIndex0)))))),
% 9.39/6.93 inference(rewrite,[status(thm)],[])).
% 9.39/6.93 tff(26510,plain,
% 9.39/6.93 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB19) <=> (~(v84(constB19, bitIndex1) | v84(constB19, bitIndex2) | (~v84(constB19, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB19) <=> (~(v84(constB19, bitIndex2) | v84(constB19, bitIndex1) | (~v84(constB19, bitIndex0))))))),
% 9.39/6.93 inference(monotonicity,[status(thm)],[26509])).
% 9.39/6.93 tff(26511,plain,
% 9.39/6.93 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB19) <=> (~(v84(constB19, bitIndex1) | v84(constB19, bitIndex2) | (~v84(constB19, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB19) <=> (~(v84(constB19, bitIndex2) | v84(constB19, bitIndex1) | (~v84(constB19, bitIndex0))))))),
% 9.39/6.93 inference(transitivity,[status(thm)],[26510, 26508])).
% 9.39/6.93 tff(26512,plain,
% 9.39/6.93 ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB19) <=> (~(v84(constB19, bitIndex1) | v84(constB19, bitIndex2) | (~v84(constB19, bitIndex0)))))),
% 9.39/6.93 inference(quant_inst,[status(thm)],[])).
% 9.39/6.93 tff(26513,plain,
% 9.39/6.93 ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB19) <=> (~(v84(constB19, bitIndex2) | v84(constB19, bitIndex1) | (~v84(constB19, bitIndex0)))))),
% 9.39/6.93 inference(modus_ponens,[status(thm)],[26512, 26511])).
% 9.39/6.93 tff(26514,plain,
% 9.39/6.93 (v145(constB19) <=> (~(v84(constB19, bitIndex2) | v84(constB19, bitIndex1) | (~v84(constB19, bitIndex0))))),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26513, 755])).
% 9.39/6.93 tff(26515,plain,
% 9.39/6.93 ((v84(constB19, bitIndex2) | v84(constB19, bitIndex1) | (~v84(constB19, bitIndex0))) | (~v84(constB19, bitIndex1))),
% 9.39/6.93 inference(tautology,[status(thm)],[])).
% 9.39/6.93 tff(26516,plain,
% 9.39/6.93 (v84(constB19, bitIndex2) | v84(constB19, bitIndex1) | (~v84(constB19, bitIndex0))),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26515, 11473])).
% 9.39/6.93 tff(26517,plain,
% 9.39/6.93 ((~(v145(constB19) <=> (~(v84(constB19, bitIndex2) | v84(constB19, bitIndex1) | (~v84(constB19, bitIndex0)))))) | (~v145(constB19)) | (~(v84(constB19, bitIndex2) | v84(constB19, bitIndex1) | (~v84(constB19, bitIndex0))))),
% 9.39/6.93 inference(tautology,[status(thm)],[])).
% 9.39/6.93 tff(26518,plain,
% 9.39/6.93 (~v145(constB19)),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26517, 26516, 26514])).
% 9.39/6.93 tff(26519,plain,
% 9.39/6.93 (((~v141(constB19)) | (~v145(constB19))) | v145(constB19)),
% 9.39/6.93 inference(tautology,[status(thm)],[])).
% 9.39/6.93 tff(26520,plain,
% 9.39/6.93 ((~v141(constB19)) | (~v145(constB19))),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26519, 26518])).
% 9.39/6.93 tff(26521,plain,
% 9.39/6.93 ((~(v144(constB19) <=> (~((~v141(constB19)) | (~v145(constB19)))))) | (~v144(constB19)) | (~((~v141(constB19)) | (~v145(constB19))))),
% 9.39/6.93 inference(tautology,[status(thm)],[])).
% 9.39/6.93 tff(26522,plain,
% 9.39/6.93 (~v144(constB19)),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26521, 26520, 26507])).
% 9.39/6.93 tff(26523,plain,
% 9.39/6.93 (((~v143(constB19)) | (~v144(constB19))) | v144(constB19)),
% 9.39/6.93 inference(tautology,[status(thm)],[])).
% 9.39/6.93 tff(26524,plain,
% 9.39/6.93 ((~v143(constB19)) | (~v144(constB19))),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26523, 26522])).
% 9.39/6.93 tff(26525,plain,
% 9.39/6.93 ((~(v142(constB19) <=> (~((~v143(constB19)) | (~v144(constB19)))))) | (~v142(constB19)) | (~((~v143(constB19)) | (~v144(constB19))))),
% 9.39/6.93 inference(tautology,[status(thm)],[])).
% 9.39/6.93 tff(26526,plain,
% 9.39/6.93 (~v142(constB19)),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26525, 26524, 26505])).
% 9.39/6.93 tff(26527,plain,
% 9.39/6.93 ((~(v138(constB19) | v142(constB19))) | v138(constB19) | v142(constB19)),
% 9.39/6.93 inference(tautology,[status(thm)],[])).
% 9.39/6.93 tff(26528,plain,
% 9.39/6.93 (~(v138(constB19) | v142(constB19))),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26527, 26526, 26503])).
% 9.39/6.93 tff(26529,plain,
% 9.39/6.93 ((~(v135(constB19) <=> (v138(constB19) | v142(constB19)))) | (~v135(constB19)) | (v138(constB19) | v142(constB19))),
% 9.39/6.93 inference(tautology,[status(thm)],[])).
% 9.39/6.93 tff(26530,plain,
% 9.39/6.93 (~v135(constB19)),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26529, 26528, 26430])).
% 9.39/6.93 tff(26531,plain,
% 9.39/6.93 ((~(v137(constB20) <=> v135(constB19))) | (~v137(constB20)) | v135(constB19)),
% 9.39/6.93 inference(tautology,[status(thm)],[])).
% 9.39/6.93 tff(26532,plain,
% 9.39/6.93 (~v137(constB20)),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26531, 26530, 26428])).
% 9.39/6.93 tff(26533,plain,
% 9.39/6.93 ((~(v132(constB20) <=> v137(constB20))) | (~v132(constB20)) | v137(constB20)),
% 9.39/6.93 inference(tautology,[status(thm)],[])).
% 9.39/6.93 tff(26534,plain,
% 9.39/6.93 (~v132(constB20)),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26533, 26532, 26424])).
% 9.39/6.93 tff(26535,plain,
% 9.39/6.93 (((~v132(constB20)) | (~v139(constB20))) | v132(constB20)),
% 9.39/6.93 inference(tautology,[status(thm)],[])).
% 9.39/6.93 tff(26536,plain,
% 9.39/6.93 ((~v132(constB20)) | (~v139(constB20))),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26535, 26534])).
% 9.39/6.93 tff(26537,plain,
% 9.39/6.93 ((~(v138(constB20) <=> (~((~v132(constB20)) | (~v139(constB20)))))) | (~v138(constB20)) | (~((~v132(constB20)) | (~v139(constB20))))),
% 9.39/6.93 inference(tautology,[status(thm)],[])).
% 9.39/6.93 tff(26538,plain,
% 9.39/6.93 (~v138(constB20)),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26537, 26536, 26422])).
% 9.39/6.93 tff(26539,plain,
% 9.39/6.93 ((~(v138(constB20) | v142(constB20))) | v138(constB20) | v142(constB20)),
% 9.39/6.93 inference(tautology,[status(thm)],[])).
% 9.39/6.93 tff(26540,plain,
% 9.39/6.93 (~(v138(constB20) | v142(constB20))),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26539, 26538, 26415])).
% 9.39/6.93 tff(26541,plain,
% 9.39/6.93 ((~(v135(constB20) <=> (v138(constB20) | v142(constB20)))) | (~v135(constB20)) | (v138(constB20) | v142(constB20))),
% 9.39/6.93 inference(tautology,[status(thm)],[])).
% 9.39/6.93 tff(26542,plain,
% 9.39/6.93 (~v135(constB20)),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26541, 26540, 26390])).
% 9.39/6.93 tff(26543,plain,
% 9.39/6.93 ((~(v137(constB21) <=> v135(constB20))) | (~v137(constB21)) | v135(constB20)),
% 9.39/6.93 inference(tautology,[status(thm)],[])).
% 9.39/6.93 tff(26544,plain,
% 9.39/6.93 (~v137(constB21)),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26543, 26542, 26388])).
% 9.39/6.93 tff(26545,plain,
% 9.39/6.93 ((~(v132(constB21) <=> v137(constB21))) | (~v132(constB21)) | v137(constB21)),
% 9.39/6.93 inference(tautology,[status(thm)],[])).
% 9.39/6.93 tff(26546,plain,
% 9.39/6.93 (~v132(constB21)),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26545, 26544, 26384])).
% 9.39/6.93 tff(26547,plain,
% 9.39/6.93 (((~v132(constB21)) | (~v154(constB21))) | v132(constB21)),
% 9.39/6.93 inference(tautology,[status(thm)],[])).
% 9.39/6.93 tff(26548,plain,
% 9.39/6.93 ((~v132(constB21)) | (~v154(constB21))),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26547, 26546])).
% 9.39/6.93 tff(26549,plain,
% 9.39/6.93 ((~(v153(constB21) <=> (~((~v132(constB21)) | (~v154(constB21)))))) | (~v153(constB21)) | (~((~v132(constB21)) | (~v154(constB21))))),
% 9.39/6.93 inference(tautology,[status(thm)],[])).
% 9.39/6.93 tff(26550,plain,
% 9.39/6.93 (~v153(constB21)),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26549, 26548, 26382])).
% 9.39/6.93 tff(26551,plain,
% 9.39/6.93 ((~(v153(constB21) | v155(constB21))) | v153(constB21) | v155(constB21)),
% 9.39/6.93 inference(tautology,[status(thm)],[])).
% 9.39/6.93 tff(26552,plain,
% 9.39/6.93 (~(v153(constB21) | v155(constB21))),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26551, 26550, 26375])).
% 9.39/6.93 tff(26553,plain,
% 9.39/6.93 ((~(v150(constB21) <=> (v153(constB21) | v155(constB21)))) | (~v150(constB21)) | (v153(constB21) | v155(constB21))),
% 9.39/6.93 inference(tautology,[status(thm)],[])).
% 9.39/6.93 tff(26554,plain,
% 9.39/6.93 (~v150(constB21)),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26553, 26552, 26302])).
% 9.39/6.93 tff(26555,plain,
% 9.39/6.93 ((~(v152(constB22) <=> v150(constB21))) | (~v152(constB22)) | v150(constB21)),
% 9.39/6.93 inference(tautology,[status(thm)],[])).
% 9.39/6.93 tff(26556,plain,
% 9.39/6.93 (~v152(constB22)),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26555, 26554, 26300])).
% 9.39/6.93 tff(26557,plain,
% 9.39/6.93 ((~(v130(constB22) <=> v152(constB22))) | (~v130(constB22)) | v152(constB22)),
% 9.39/6.93 inference(tautology,[status(thm)],[])).
% 9.39/6.93 tff(26558,plain,
% 9.39/6.93 (~v130(constB22)),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26557, 26556, 26296])).
% 9.39/6.93 tff(26559,plain,
% 9.39/6.93 (((~v130(constB22)) | (~v139(constB22))) | v130(constB22)),
% 9.39/6.93 inference(tautology,[status(thm)],[])).
% 9.39/6.93 tff(26560,plain,
% 9.39/6.93 ((~v130(constB22)) | (~v139(constB22))),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26559, 26558])).
% 9.39/6.93 tff(26561,plain,
% 9.39/6.93 ((~(v155(constB22) <=> (~((~v130(constB22)) | (~v139(constB22)))))) | (~v155(constB22)) | (~((~v130(constB22)) | (~v139(constB22))))),
% 9.39/6.93 inference(tautology,[status(thm)],[])).
% 9.39/6.93 tff(26562,plain,
% 9.39/6.93 (~v155(constB22)),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26561, 26560, 26294])).
% 9.39/6.93 tff(26563,plain,
% 9.39/6.93 ((~(v153(constB22) | v155(constB22))) | v153(constB22) | v155(constB22)),
% 9.39/6.93 inference(tautology,[status(thm)],[])).
% 9.39/6.93 tff(26564,plain,
% 9.39/6.93 (~(v153(constB22) | v155(constB22))),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26563, 26562, 26287])).
% 9.39/6.93 tff(26565,plain,
% 9.39/6.93 ((~(v150(constB22) <=> (v153(constB22) | v155(constB22)))) | (~v150(constB22)) | (v153(constB22) | v155(constB22))),
% 9.39/6.93 inference(tautology,[status(thm)],[])).
% 9.39/6.93 tff(26566,plain,
% 9.39/6.93 (~v150(constB22)),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26565, 26564, 26252])).
% 9.39/6.93 tff(26567,plain,
% 9.39/6.93 ((~(v152(constB23) <=> v150(constB22))) | (~v152(constB23)) | v150(constB22)),
% 9.39/6.93 inference(tautology,[status(thm)],[])).
% 9.39/6.93 tff(26568,plain,
% 9.39/6.93 (~v152(constB23)),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26567, 26566, 26250])).
% 9.39/6.93 tff(26569,plain,
% 9.39/6.93 ((~(v130(constB23) <=> v152(constB23))) | (~v130(constB23)) | v152(constB23)),
% 9.39/6.93 inference(tautology,[status(thm)],[])).
% 9.39/6.93 tff(26570,plain,
% 9.39/6.93 (~v130(constB23)),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26569, 26568, 26246])).
% 9.39/6.93 tff(26571,plain,
% 9.39/6.93 (((~v130(constB23)) | (~v154(constB23))) | v130(constB23)),
% 9.39/6.93 inference(tautology,[status(thm)],[])).
% 9.39/6.93 tff(26572,plain,
% 9.39/6.93 ((~v130(constB23)) | (~v154(constB23))),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26571, 26570])).
% 9.39/6.93 tff(26573,plain,
% 9.39/6.93 ((~(v164(constB23) <=> (~((~v130(constB23)) | (~v154(constB23)))))) | (~v164(constB23)) | (~((~v130(constB23)) | (~v154(constB23))))),
% 9.39/6.93 inference(tautology,[status(thm)],[])).
% 9.39/6.93 tff(26574,plain,
% 9.39/6.93 (~v164(constB23)),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26573, 26572, 26244])).
% 9.39/6.93 tff(26575,plain,
% 9.39/6.93 ((~(v163(constB23) | v164(constB23))) | v163(constB23) | v164(constB23)),
% 9.39/6.93 inference(tautology,[status(thm)],[])).
% 9.39/6.93 tff(26576,plain,
% 9.39/6.93 (~(v163(constB23) | v164(constB23))),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26575, 26574, 26237])).
% 9.39/6.93 tff(26577,plain,
% 9.39/6.93 ((~(v160(constB23) <=> (v163(constB23) | v164(constB23)))) | (~v160(constB23)) | (v163(constB23) | v164(constB23))),
% 9.39/6.93 inference(tautology,[status(thm)],[])).
% 9.39/6.93 tff(26578,plain,
% 9.39/6.93 (~v160(constB23)),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26577, 26576, 26164])).
% 9.39/6.93 tff(26579,plain,
% 9.39/6.93 ((~(v162(constB24) <=> v160(constB23))) | (~v162(constB24)) | v160(constB23)),
% 9.39/6.93 inference(tautology,[status(thm)],[])).
% 9.39/6.93 tff(26580,plain,
% 9.39/6.93 (~v162(constB24)),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26579, 26578, 26162])).
% 9.39/6.93 tff(26581,plain,
% 9.39/6.93 ((~(v128(constB24) <=> v162(constB24))) | (~v128(constB24)) | v162(constB24)),
% 9.39/6.93 inference(tautology,[status(thm)],[])).
% 9.39/6.93 tff(26582,plain,
% 9.39/6.93 (~v128(constB24)),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26581, 26580, 26158])).
% 9.39/6.93 tff(26583,plain,
% 9.39/6.93 (((~v128(constB24)) | (~v139(constB24))) | v128(constB24)),
% 9.39/6.93 inference(tautology,[status(thm)],[])).
% 9.39/6.93 tff(26584,plain,
% 9.39/6.93 ((~v128(constB24)) | (~v139(constB24))),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26583, 26582])).
% 9.39/6.93 tff(26585,plain,
% 9.39/6.93 ((~(v163(constB24) <=> (~((~v128(constB24)) | (~v139(constB24)))))) | (~v163(constB24)) | (~((~v128(constB24)) | (~v139(constB24))))),
% 9.39/6.93 inference(tautology,[status(thm)],[])).
% 9.39/6.93 tff(26586,plain,
% 9.39/6.93 (~v163(constB24)),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26585, 26584, 26156])).
% 9.39/6.93 tff(26587,plain,
% 9.39/6.93 ((~(v163(constB24) | v164(constB24))) | v163(constB24) | v164(constB24)),
% 9.39/6.93 inference(tautology,[status(thm)],[])).
% 9.39/6.93 tff(26588,plain,
% 9.39/6.93 (~(v163(constB24) | v164(constB24))),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26587, 26586, 26149])).
% 9.39/6.93 tff(26589,plain,
% 9.39/6.93 ((~(v160(constB24) <=> (v163(constB24) | v164(constB24)))) | (~v160(constB24)) | (v163(constB24) | v164(constB24))),
% 9.39/6.93 inference(tautology,[status(thm)],[])).
% 9.39/6.93 tff(26590,plain,
% 9.39/6.93 (~v160(constB24)),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26589, 26588, 26114])).
% 9.39/6.93 tff(26591,plain,
% 9.39/6.93 ((~(v162(constB25) <=> v160(constB24))) | (~v162(constB25)) | v160(constB24)),
% 9.39/6.93 inference(tautology,[status(thm)],[])).
% 9.39/6.93 tff(26592,plain,
% 9.39/6.93 (~v162(constB25)),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26591, 26590, 26112])).
% 9.39/6.93 tff(26593,plain,
% 9.39/6.93 ($false),
% 9.39/6.93 inference(unit_resolution,[status(thm)],[26592, 26108])).
% 9.39/6.93 tff(26594,plain,(~(constB25 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.39/6.93 tff(26595,assumption,(constB141 = VarCurr!0), introduced(assumption)).
% 9.39/6.93 tff(26596,plain,
% 9.39/6.93 (v170(constB141) <=> v170(VarCurr!0)),
% 9.39/6.93 inference(monotonicity,[status(thm)],[26595])).
% 9.39/6.93 tff(26597,plain,
% 9.39/6.93 (v170(VarCurr!0) <=> v170(constB141)),
% 9.39/6.93 inference(symmetry,[status(thm)],[26596])).
% 9.39/6.93 tff(26598,plain,
% 9.39/6.93 (v170(constB141)),
% 9.39/6.93 inference(modus_ponens,[status(thm)],[26047, 26597])).
% 9.39/6.93 tff(26599,plain,
% 9.39/6.93 (((~![VarCurr: $i] : (v170(VarCurr) <=> (~((~v171(VarCurr)) | (~v141(VarCurr)))))) | (v170(constB141) <=> (~((~v141(constB141)) | (~v171(constB141)))))) <=> ((~![VarCurr: $i] : (v170(VarCurr) <=> (~((~v171(VarCurr)) | (~v141(VarCurr)))))) | (v170(constB141) <=> (~((~v141(constB141)) | (~v171(constB141))))))),
% 9.39/6.93 inference(rewrite,[status(thm)],[])).
% 9.39/6.93 tff(26600,plain,
% 9.39/6.93 ((v170(constB141) <=> (~((~v171(constB141)) | (~v141(constB141))))) <=> (v170(constB141) <=> (~((~v141(constB141)) | (~v171(constB141)))))),
% 9.39/6.93 inference(rewrite,[status(thm)],[])).
% 9.39/6.93 tff(26601,plain,
% 9.39/6.93 (((~![VarCurr: $i] : (v170(VarCurr) <=> (~((~v171(VarCurr)) | (~v141(VarCurr)))))) | (v170(constB141) <=> (~((~v171(constB141)) | (~v141(constB141)))))) <=> ((~![VarCurr: $i] : (v170(VarCurr) <=> (~((~v171(VarCurr)) | (~v141(VarCurr)))))) | (v170(constB141) <=> (~((~v141(constB141)) | (~v171(constB141))))))),
% 9.39/6.93 inference(monotonicity,[status(thm)],[26600])).
% 9.39/6.94 tff(26602,plain,
% 9.39/6.94 (((~![VarCurr: $i] : (v170(VarCurr) <=> (~((~v171(VarCurr)) | (~v141(VarCurr)))))) | (v170(constB141) <=> (~((~v171(constB141)) | (~v141(constB141)))))) <=> ((~![VarCurr: $i] : (v170(VarCurr) <=> (~((~v171(VarCurr)) | (~v141(VarCurr)))))) | (v170(constB141) <=> (~((~v141(constB141)) | (~v171(constB141))))))),
% 9.39/6.94 inference(transitivity,[status(thm)],[26601, 26599])).
% 9.39/6.94 tff(26603,plain,
% 9.39/6.94 ((~![VarCurr: $i] : (v170(VarCurr) <=> (~((~v171(VarCurr)) | (~v141(VarCurr)))))) | (v170(constB141) <=> (~((~v171(constB141)) | (~v141(constB141)))))),
% 9.39/6.94 inference(quant_inst,[status(thm)],[])).
% 9.39/6.94 tff(26604,plain,
% 9.39/6.94 ((~![VarCurr: $i] : (v170(VarCurr) <=> (~((~v171(VarCurr)) | (~v141(VarCurr)))))) | (v170(constB141) <=> (~((~v141(constB141)) | (~v171(constB141)))))),
% 9.39/6.94 inference(modus_ponens,[status(thm)],[26603, 26602])).
% 9.39/6.94 tff(26605,plain,
% 9.39/6.94 (v170(constB141) <=> (~((~v141(constB141)) | (~v171(constB141))))),
% 9.39/6.94 inference(unit_resolution,[status(thm)],[26604, 26058])).
% 9.39/6.94 tff(26606,plain,
% 9.39/6.94 ((~![VarCurr: $i] : ((~v171(VarCurr)) <=> v172(VarCurr))) | ((~v171(constB141)) <=> v172(constB141))),
% 9.39/6.94 inference(quant_inst,[status(thm)],[])).
% 9.39/6.94 tff(26607,plain,
% 9.39/6.94 ((~v171(constB141)) <=> v172(constB141)),
% 9.39/6.94 inference(unit_resolution,[status(thm)],[26606, 26072])).
% 9.39/6.94 tff(26608,plain,
% 9.39/6.94 (((~![VarCurr: $i] : (v172(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v172(constB141) <=> (~((~v84(constB141, bitIndex2)) | v84(constB141, bitIndex1) | v84(constB141, bitIndex0))))) <=> ((~![VarCurr: $i] : (v172(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v172(constB141) <=> (~((~v84(constB141, bitIndex2)) | v84(constB141, bitIndex1) | v84(constB141, bitIndex0)))))),
% 9.39/6.94 inference(rewrite,[status(thm)],[])).
% 9.39/6.94 tff(26609,plain,
% 9.39/6.94 ((v172(constB141) <=> (~(v84(constB141, bitIndex0) | v84(constB141, bitIndex1) | (~v84(constB141, bitIndex2))))) <=> (v172(constB141) <=> (~((~v84(constB141, bitIndex2)) | v84(constB141, bitIndex1) | v84(constB141, bitIndex0))))),
% 9.39/6.94 inference(rewrite,[status(thm)],[])).
% 9.39/6.94 tff(26610,plain,
% 9.39/6.94 (((~![VarCurr: $i] : (v172(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v172(constB141) <=> (~(v84(constB141, bitIndex0) | v84(constB141, bitIndex1) | (~v84(constB141, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v172(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v172(constB141) <=> (~((~v84(constB141, bitIndex2)) | v84(constB141, bitIndex1) | v84(constB141, bitIndex0)))))),
% 9.39/6.94 inference(monotonicity,[status(thm)],[26609])).
% 9.39/6.94 tff(26611,plain,
% 9.39/6.94 (((~![VarCurr: $i] : (v172(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v172(constB141) <=> (~(v84(constB141, bitIndex0) | v84(constB141, bitIndex1) | (~v84(constB141, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v172(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v172(constB141) <=> (~((~v84(constB141, bitIndex2)) | v84(constB141, bitIndex1) | v84(constB141, bitIndex0)))))),
% 9.39/6.94 inference(transitivity,[status(thm)],[26610, 26608])).
% 9.39/6.94 tff(26612,plain,
% 9.39/6.94 ((~![VarCurr: $i] : (v172(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v172(constB141) <=> (~(v84(constB141, bitIndex0) | v84(constB141, bitIndex1) | (~v84(constB141, bitIndex2)))))),
% 9.39/6.94 inference(quant_inst,[status(thm)],[])).
% 9.39/6.94 tff(26613,plain,
% 9.39/6.94 ((~![VarCurr: $i] : (v172(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v172(constB141) <=> (~((~v84(constB141, bitIndex2)) | v84(constB141, bitIndex1) | v84(constB141, bitIndex0))))),
% 9.39/6.94 inference(modus_ponens,[status(thm)],[26612, 26611])).
% 9.39/6.94 tff(26614,plain,
% 9.39/6.94 (v172(constB141) <=> (~((~v84(constB141, bitIndex2)) | v84(constB141, bitIndex1) | v84(constB141, bitIndex0)))),
% 9.39/6.94 inference(unit_resolution,[status(thm)],[26613, 26087])).
% 9.39/6.94 tff(26615,plain,
% 9.39/6.94 ((~(v172(constB141) <=> (~((~v84(constB141, bitIndex2)) | v84(constB141, bitIndex1) | v84(constB141, bitIndex0))))) | v172(constB141) | ((~v84(constB141, bitIndex2)) | v84(constB141, bitIndex1) | v84(constB141, bitIndex0))),
% 9.39/6.94 inference(tautology,[status(thm)],[])).
% 9.39/6.94 tff(26616,plain,
% 9.39/6.94 (v172(constB141)),
% 9.39/6.94 inference(unit_resolution,[status(thm)],[26615, 21339, 26614])).
% 9.39/6.94 tff(26617,plain,
% 9.39/6.94 ((~((~v171(constB141)) <=> v172(constB141))) | (~v171(constB141)) | (~v172(constB141))),
% 9.39/6.94 inference(tautology,[status(thm)],[])).
% 9.39/6.94 tff(26618,plain,
% 9.39/6.94 (~v171(constB141)),
% 9.39/6.94 inference(unit_resolution,[status(thm)],[26617, 26616, 26607])).
% 9.39/6.94 tff(26619,plain,
% 9.39/6.94 (((~v141(constB141)) | (~v171(constB141))) | v171(constB141)),
% 9.39/6.94 inference(tautology,[status(thm)],[])).
% 9.39/6.94 tff(26620,plain,
% 9.39/6.94 ((~v141(constB141)) | (~v171(constB141))),
% 9.39/6.94 inference(unit_resolution,[status(thm)],[26619, 26618])).
% 9.39/6.94 tff(26621,plain,
% 9.39/6.94 ((~(v170(constB141) <=> (~((~v141(constB141)) | (~v171(constB141)))))) | (~v170(constB141)) | (~((~v141(constB141)) | (~v171(constB141))))),
% 9.39/6.94 inference(tautology,[status(thm)],[])).
% 9.39/6.94 tff(26622,plain,
% 9.39/6.94 (~v170(constB141)),
% 9.39/6.94 inference(unit_resolution,[status(thm)],[26621, 26620, 26605])).
% 9.39/6.94 tff(26623,plain,
% 9.39/6.94 ($false),
% 9.39/6.94 inference(unit_resolution,[status(thm)],[26622, 26598])).
% 9.39/6.94 tff(26624,plain,(~(constB141 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.39/6.94 tff(26625,assumption,(constB121 = VarCurr!0), introduced(assumption)).
% 9.39/6.94 tff(26626,plain,
% 9.39/6.94 (v162(constB121) <=> v162(VarCurr!0)),
% 9.39/6.94 inference(monotonicity,[status(thm)],[26625])).
% 9.39/6.94 tff(26627,plain,
% 9.39/6.94 (v162(VarCurr!0) <=> v162(constB121)),
% 9.39/6.94 inference(symmetry,[status(thm)],[26626])).
% 9.39/6.94 tff(26628,plain,
% 9.39/6.94 (v162(constB121)),
% 9.39/6.94 inference(modus_ponens,[status(thm)],[59, 26627])).
% 9.39/6.94 tff(26629,plain,
% 9.39/6.94 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB120, constB121)) | (v162(constB121) <=> v160(constB120)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB120, constB121)) | (v162(constB121) <=> v160(constB120)))),
% 9.39/6.94 inference(rewrite,[status(thm)],[])).
% 9.39/6.94 tff(26630,plain,
% 9.39/6.94 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB120, constB121)) | (v162(constB121) <=> v160(constB120)))),
% 9.39/6.94 inference(quant_inst,[status(thm)],[])).
% 9.39/6.94 tff(26631,plain,
% 9.39/6.94 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB120, constB121)) | (v162(constB121) <=> v160(constB120))),
% 9.39/6.94 inference(modus_ponens,[status(thm)],[26630, 26629])).
% 9.39/6.94 tff(26632,plain,
% 9.39/6.94 (v162(constB121) <=> v160(constB120)),
% 9.39/6.94 inference(unit_resolution,[status(thm)],[26631, 4256, 70])).
% 9.39/6.94 tff(26633,plain,
% 9.39/6.94 ((~![VarCurr: $i] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB120) <=> (v163(constB120) | v164(constB120)))),
% 9.39/6.94 inference(quant_inst,[status(thm)],[])).
% 9.39/6.94 tff(26634,plain,
% 9.39/6.94 (v160(constB120) <=> (v163(constB120) | v164(constB120))),
% 9.39/6.94 inference(unit_resolution,[status(thm)],[26633, 84])).
% 9.39/6.94 tff(26635,plain,
% 9.39/6.94 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB120) <=> (~((~v130(constB120)) | (~v154(constB120)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB120) <=> (~((~v130(constB120)) | (~v154(constB120))))))),
% 9.39/6.94 inference(rewrite,[status(thm)],[])).
% 9.39/6.94 tff(26636,plain,
% 9.39/6.94 ((v164(constB120) <=> (~((~v154(constB120)) | (~v130(constB120))))) <=> (v164(constB120) <=> (~((~v130(constB120)) | (~v154(constB120)))))),
% 9.39/6.94 inference(rewrite,[status(thm)],[])).
% 9.39/6.94 tff(26637,plain,
% 9.39/6.94 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB120) <=> (~((~v154(constB120)) | (~v130(constB120)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB120) <=> (~((~v130(constB120)) | (~v154(constB120))))))),
% 9.39/6.94 inference(monotonicity,[status(thm)],[26636])).
% 9.39/6.94 tff(26638,plain,
% 9.39/6.94 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB120) <=> (~((~v154(constB120)) | (~v130(constB120)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB120) <=> (~((~v130(constB120)) | (~v154(constB120))))))),
% 9.39/6.94 inference(transitivity,[status(thm)],[26637, 26635])).
% 9.39/6.94 tff(26639,plain,
% 9.39/6.94 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB120) <=> (~((~v154(constB120)) | (~v130(constB120)))))),
% 9.39/6.94 inference(quant_inst,[status(thm)],[])).
% 9.39/6.94 tff(26640,plain,
% 9.39/6.94 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB120) <=> (~((~v130(constB120)) | (~v154(constB120)))))),
% 9.39/6.94 inference(modus_ponens,[status(thm)],[26639, 26638])).
% 9.39/6.94 tff(26641,plain,
% 9.39/6.94 (v164(constB120) <=> (~((~v130(constB120)) | (~v154(constB120))))),
% 9.39/6.94 inference(unit_resolution,[status(thm)],[26640, 96])).
% 9.39/6.94 tff(26642,plain,
% 9.39/6.94 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB120) <=> (~((~v141(constB120)) | (~v143(constB120)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB120) <=> (~((~v141(constB120)) | (~v143(constB120))))))),
% 9.39/6.94 inference(rewrite,[status(thm)],[])).
% 9.39/6.94 tff(26643,plain,
% 9.39/6.94 ((v154(constB120) <=> (~((~v143(constB120)) | (~v141(constB120))))) <=> (v154(constB120) <=> (~((~v141(constB120)) | (~v143(constB120)))))),
% 9.39/6.94 inference(rewrite,[status(thm)],[])).
% 9.39/6.94 tff(26644,plain,
% 9.39/6.94 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB120) <=> (~((~v143(constB120)) | (~v141(constB120)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB120) <=> (~((~v141(constB120)) | (~v143(constB120))))))),
% 9.39/6.94 inference(monotonicity,[status(thm)],[26643])).
% 9.39/6.94 tff(26645,plain,
% 9.39/6.94 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB120) <=> (~((~v143(constB120)) | (~v141(constB120)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB120) <=> (~((~v141(constB120)) | (~v143(constB120))))))),
% 9.39/6.94 inference(transitivity,[status(thm)],[26644, 26642])).
% 9.39/6.94 tff(26646,plain,
% 9.39/6.94 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB120) <=> (~((~v143(constB120)) | (~v141(constB120)))))),
% 9.39/6.94 inference(quant_inst,[status(thm)],[])).
% 9.39/6.94 tff(26647,plain,
% 9.39/6.94 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB120) <=> (~((~v141(constB120)) | (~v143(constB120)))))),
% 9.39/6.94 inference(modus_ponens,[status(thm)],[26646, 26645])).
% 9.39/6.94 tff(26648,plain,
% 9.39/6.94 (v154(constB120) <=> (~((~v141(constB120)) | (~v143(constB120))))),
% 9.39/6.94 inference(unit_resolution,[status(thm)],[26647, 113])).
% 9.39/6.94 tff(26649,plain,
% 9.39/6.94 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB120) <=> (~((~v39(constB120)) | (~v9(constB120)))))),
% 9.39/6.94 inference(quant_inst,[status(thm)],[])).
% 9.39/6.94 tff(26650,plain,
% 9.39/6.94 (v141(constB120) <=> (~((~v39(constB120)) | (~v9(constB120))))),
% 9.39/6.94 inference(unit_resolution,[status(thm)],[26649, 130])).
% 9.39/6.94 tff(26651,plain,
% 9.39/6.94 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB120)) <=> v1(constB120))),
% 9.39/6.94 inference(quant_inst,[status(thm)],[])).
% 9.39/6.94 tff(26652,plain,
% 9.39/6.94 ((~v39(constB120)) <=> v1(constB120)),
% 9.39/6.94 inference(unit_resolution,[status(thm)],[26651, 139])).
% 9.39/6.94 tff(26653,plain,
% 9.39/6.94 ((~((~v39(constB120)) <=> v1(constB120))) | (~v39(constB120)) | (~v1(constB120))),
% 9.39/6.94 inference(tautology,[status(thm)],[])).
% 9.39/6.94 tff(26654,plain,
% 9.39/6.94 ((~((~v39(constB120)) <=> v1(constB120))) | (~v39(constB120))),
% 9.39/6.94 inference(unit_resolution,[status(thm)],[26653, 4318])).
% 9.39/6.94 tff(26655,plain,
% 9.39/6.94 (~v39(constB120)),
% 9.39/6.94 inference(unit_resolution,[status(thm)],[26654, 26652])).
% 9.39/6.94 tff(26656,plain,
% 9.39/6.94 (((~v39(constB120)) | (~v9(constB120))) | v39(constB120)),
% 9.39/6.94 inference(tautology,[status(thm)],[])).
% 9.39/6.94 tff(26657,plain,
% 9.39/6.94 ((~v39(constB120)) | (~v9(constB120))),
% 9.39/6.94 inference(unit_resolution,[status(thm)],[26656, 26655])).
% 9.39/6.94 tff(26658,plain,
% 9.39/6.94 ((~(v141(constB120) <=> (~((~v39(constB120)) | (~v9(constB120)))))) | (~v141(constB120)) | (~((~v39(constB120)) | (~v9(constB120))))),
% 9.39/6.94 inference(tautology,[status(thm)],[])).
% 9.39/6.94 tff(26659,plain,
% 9.39/6.94 ((~(v141(constB120) <=> (~((~v39(constB120)) | (~v9(constB120)))))) | (~v141(constB120))),
% 9.39/6.94 inference(unit_resolution,[status(thm)],[26658, 26657])).
% 9.39/6.94 tff(26660,plain,
% 9.39/6.94 (~v141(constB120)),
% 9.39/6.94 inference(unit_resolution,[status(thm)],[26659, 26650])).
% 9.39/6.94 tff(26661,plain,
% 9.39/6.94 (((~v141(constB120)) | (~v143(constB120))) | v141(constB120)),
% 9.39/6.94 inference(tautology,[status(thm)],[])).
% 9.39/6.94 tff(26662,plain,
% 9.39/6.94 ((~v141(constB120)) | (~v143(constB120))),
% 9.39/6.94 inference(unit_resolution,[status(thm)],[26661, 26660])).
% 9.39/6.94 tff(26663,plain,
% 9.39/6.94 ((~(v154(constB120) <=> (~((~v141(constB120)) | (~v143(constB120)))))) | (~v154(constB120)) | (~((~v141(constB120)) | (~v143(constB120))))),
% 9.39/6.94 inference(tautology,[status(thm)],[])).
% 9.39/6.94 tff(26664,plain,
% 9.39/6.94 ((~(v154(constB120) <=> (~((~v141(constB120)) | (~v143(constB120)))))) | (~v154(constB120))),
% 9.39/6.94 inference(unit_resolution,[status(thm)],[26663, 26662])).
% 9.39/6.94 tff(26665,plain,
% 9.39/6.94 (~v154(constB120)),
% 9.39/6.94 inference(unit_resolution,[status(thm)],[26664, 26648])).
% 9.39/6.94 tff(26666,plain,
% 9.39/6.94 (((~v130(constB120)) | (~v154(constB120))) | v154(constB120)),
% 9.39/6.94 inference(tautology,[status(thm)],[])).
% 9.39/6.94 tff(26667,plain,
% 9.39/6.94 ((~v130(constB120)) | (~v154(constB120))),
% 9.39/6.94 inference(unit_resolution,[status(thm)],[26666, 26665])).
% 9.39/6.94 tff(26668,plain,
% 9.39/6.94 ((~(v164(constB120) <=> (~((~v130(constB120)) | (~v154(constB120)))))) | (~v164(constB120)) | (~((~v130(constB120)) | (~v154(constB120))))),
% 9.39/6.94 inference(tautology,[status(thm)],[])).
% 9.39/6.94 tff(26669,plain,
% 9.39/6.94 (~v164(constB120)),
% 9.39/6.94 inference(unit_resolution,[status(thm)],[26668, 26667, 26641])).
% 9.39/6.94 tff(26670,plain,
% 9.39/6.94 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB120) <=> (~((~v128(constB120)) | (~v139(constB120)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB120) <=> (~((~v128(constB120)) | (~v139(constB120))))))),
% 9.39/6.94 inference(rewrite,[status(thm)],[])).
% 9.39/6.94 tff(26671,plain,
% 9.39/6.94 ((v163(constB120) <=> (~((~v139(constB120)) | (~v128(constB120))))) <=> (v163(constB120) <=> (~((~v128(constB120)) | (~v139(constB120)))))),
% 9.39/6.94 inference(rewrite,[status(thm)],[])).
% 9.39/6.94 tff(26672,plain,
% 9.39/6.94 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB120) <=> (~((~v139(constB120)) | (~v128(constB120)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB120) <=> (~((~v128(constB120)) | (~v139(constB120))))))),
% 9.39/6.94 inference(monotonicity,[status(thm)],[26671])).
% 9.39/6.94 tff(26673,plain,
% 9.39/6.94 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB120) <=> (~((~v139(constB120)) | (~v128(constB120)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB120) <=> (~((~v128(constB120)) | (~v139(constB120))))))),
% 9.39/6.94 inference(transitivity,[status(thm)],[26672, 26670])).
% 9.39/6.94 tff(26674,plain,
% 9.39/6.94 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB120) <=> (~((~v139(constB120)) | (~v128(constB120)))))),
% 9.39/6.94 inference(quant_inst,[status(thm)],[])).
% 9.39/6.94 tff(26675,plain,
% 9.39/6.94 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB120) <=> (~((~v128(constB120)) | (~v139(constB120)))))),
% 9.39/6.94 inference(modus_ponens,[status(thm)],[26674, 26673])).
% 9.39/6.94 tff(26676,plain,
% 9.39/6.94 (v163(constB120) <=> (~((~v128(constB120)) | (~v139(constB120))))),
% 9.39/6.94 inference(unit_resolution,[status(thm)],[26675, 171])).
% 9.39/6.94 tff(26677,plain,
% 9.39/6.94 ((~![VarNext: $i] : (v128(VarNext) <=> v162(VarNext))) | (v128(constB120) <=> v162(constB120))),
% 9.39/6.94 inference(quant_inst,[status(thm)],[])).
% 9.39/6.94 tff(26678,plain,
% 9.39/6.94 (v128(constB120) <=> v162(constB120)),
% 9.39/6.94 inference(unit_resolution,[status(thm)],[26677, 13])).
% 9.39/6.94 tff(26679,plain,
% 9.39/6.94 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB119, constB120)) | (v162(constB120) <=> v160(constB119)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB119, constB120)) | (v162(constB120) <=> v160(constB119)))),
% 9.39/6.94 inference(rewrite,[status(thm)],[])).
% 9.39/6.94 tff(26680,plain,
% 9.39/6.94 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB119, constB120)) | (v162(constB120) <=> v160(constB119)))),
% 9.39/6.94 inference(quant_inst,[status(thm)],[])).
% 9.39/6.94 tff(26681,plain,
% 9.39/6.94 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB119, constB120)) | (v162(constB120) <=> v160(constB119))),
% 9.39/6.94 inference(modus_ponens,[status(thm)],[26680, 26679])).
% 9.39/6.94 tff(26682,plain,
% 9.39/6.94 (v162(constB120) <=> v160(constB119)),
% 9.39/6.94 inference(unit_resolution,[status(thm)],[26681, 4288, 70])).
% 9.39/6.94 tff(26683,plain,
% 9.39/6.94 ((~![VarCurr: $i] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB119) <=> (v163(constB119) | v164(constB119)))),
% 9.39/6.94 inference(quant_inst,[status(thm)],[])).
% 9.39/6.94 tff(26684,plain,
% 9.39/6.94 (v160(constB119) <=> (v163(constB119) | v164(constB119))),
% 9.39/6.94 inference(unit_resolution,[status(thm)],[26683, 84])).
% 9.39/6.94 tff(26685,plain,
% 9.39/6.94 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB119) <=> (~((~v128(constB119)) | (~v139(constB119)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB119) <=> (~((~v128(constB119)) | (~v139(constB119))))))),
% 9.39/6.94 inference(rewrite,[status(thm)],[])).
% 9.39/6.94 tff(26686,plain,
% 9.39/6.94 ((v163(constB119) <=> (~((~v139(constB119)) | (~v128(constB119))))) <=> (v163(constB119) <=> (~((~v128(constB119)) | (~v139(constB119)))))),
% 9.39/6.94 inference(rewrite,[status(thm)],[])).
% 9.39/6.94 tff(26687,plain,
% 9.39/6.94 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB119) <=> (~((~v139(constB119)) | (~v128(constB119)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB119) <=> (~((~v128(constB119)) | (~v139(constB119))))))),
% 9.39/6.94 inference(monotonicity,[status(thm)],[26686])).
% 9.39/6.94 tff(26688,plain,
% 9.39/6.94 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB119) <=> (~((~v139(constB119)) | (~v128(constB119)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB119) <=> (~((~v128(constB119)) | (~v139(constB119))))))),
% 9.39/6.94 inference(transitivity,[status(thm)],[26687, 26685])).
% 9.39/6.94 tff(26689,plain,
% 9.39/6.94 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB119) <=> (~((~v139(constB119)) | (~v128(constB119)))))),
% 9.39/6.94 inference(quant_inst,[status(thm)],[])).
% 9.39/6.94 tff(26690,plain,
% 9.39/6.94 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB119) <=> (~((~v128(constB119)) | (~v139(constB119)))))),
% 9.39/6.94 inference(modus_ponens,[status(thm)],[26689, 26688])).
% 9.39/6.94 tff(26691,plain,
% 9.39/6.94 (v163(constB119) <=> (~((~v128(constB119)) | (~v139(constB119))))),
% 9.39/6.94 inference(unit_resolution,[status(thm)],[26690, 171])).
% 9.39/6.94 tff(26692,plain,
% 9.39/6.94 ((~![VarCurr: $i] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB119)) <=> v140(constB119))),
% 9.39/6.94 inference(quant_inst,[status(thm)],[])).
% 9.39/6.94 tff(26693,plain,
% 9.39/6.94 ((~v139(constB119)) <=> v140(constB119)),
% 9.39/6.94 inference(unit_resolution,[status(thm)],[26692, 203])).
% 9.39/6.94 tff(26694,plain,
% 9.39/6.94 ((~![VarCurr: $i] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB119) <=> (v141(constB119) | v26(constB119)))),
% 9.39/6.94 inference(quant_inst,[status(thm)],[])).
% 9.39/6.94 tff(26695,plain,
% 9.39/6.94 (v140(constB119) <=> (v141(constB119) | v26(constB119))),
% 9.39/6.94 inference(unit_resolution,[status(thm)],[26694, 212])).
% 9.39/6.94 tff(26696,plain,
% 9.39/6.94 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB119) <=> (~((~v39(constB119)) | (~v9(constB119)))))),
% 9.39/6.94 inference(quant_inst,[status(thm)],[])).
% 9.39/6.94 tff(26697,plain,
% 9.39/6.94 (v141(constB119) <=> (~((~v39(constB119)) | (~v9(constB119))))),
% 9.39/6.94 inference(unit_resolution,[status(thm)],[26696, 130])).
% 9.39/6.94 tff(26698,plain,
% 9.39/6.94 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB119, constB120)) | (v13(constB120) <=> v9(constB119)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB119, constB120)) | (v13(constB120) <=> v9(constB119)))),
% 9.39/6.94 inference(rewrite,[status(thm)],[])).
% 9.39/6.94 tff(26699,plain,
% 9.39/6.94 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB119, constB120)) | (v13(constB120) <=> v9(constB119)))),
% 9.39/6.94 inference(quant_inst,[status(thm)],[])).
% 9.39/6.94 tff(26700,plain,
% 9.39/6.94 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB119, constB120)) | (v13(constB120) <=> v9(constB119))),
% 9.39/6.94 inference(modus_ponens,[status(thm)],[26699, 26698])).
% 9.39/6.94 tff(26701,plain,
% 9.39/6.94 (v13(constB120) <=> v9(constB119)),
% 9.39/6.94 inference(unit_resolution,[status(thm)],[26700, 4288, 226])).
% 9.39/6.94 tff(26702,plain,
% 9.39/6.94 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB120) <=> v13(constB120))),
% 9.39/6.94 inference(quant_inst,[status(thm)],[])).
% 9.39/6.94 tff(26703,plain,
% 9.39/6.94 (v6(constB120) <=> v13(constB120)),
% 9.39/6.94 inference(unit_resolution,[status(thm)],[26702, 240])).
% 9.39/6.94 tff(26704,plain,
% 9.39/6.94 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB120)) <=> v6(constB120))),
% 9.39/6.94 inference(quant_inst,[status(thm)],[])).
% 9.39/6.94 tff(26705,plain,
% 9.39/6.94 ((~v21(constB120)) <=> v6(constB120)),
% 9.39/6.94 inference(unit_resolution,[status(thm)],[26704, 249])).
% 9.39/6.94 tff(26706,plain,
% 9.39/6.94 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB120) <=> (v20(constB120) | v21(constB120)))),
% 9.39/6.94 inference(quant_inst,[status(thm)],[])).
% 9.39/6.94 tff(26707,plain,
% 9.39/6.94 (v19(constB120) <=> (v20(constB120) | v21(constB120))),
% 9.39/6.94 inference(unit_resolution,[status(thm)],[26706, 258])).
% 9.39/6.94 tff(26708,plain,
% 9.39/6.94 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB120) <=> (~((~v19(constB120)) | (~v22(constB120)))))),
% 9.39/6.94 inference(quant_inst,[status(thm)],[])).
% 9.39/6.94 tff(26709,plain,
% 9.39/6.94 (v18(constB120) <=> (~((~v19(constB120)) | (~v22(constB120))))),
% 9.39/6.94 inference(unit_resolution,[status(thm)],[26708, 270])).
% 9.39/6.94 tff(26710,plain,
% 9.39/6.94 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB120)) <=> v18(constB120))),
% 9.39/6.94 inference(quant_inst,[status(thm)],[])).
% 9.39/6.94 tff(26711,plain,
% 9.39/6.94 ((~v4(constB120)) <=> v18(constB120)),
% 9.39/6.94 inference(unit_resolution,[status(thm)],[26710, 279])).
% 9.39/6.94 tff(26712,plain,
% 9.39/6.94 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB120)),
% 9.39/6.94 inference(quant_inst,[status(thm)],[])).
% 9.39/6.94 tff(26713,plain,
% 9.39/6.94 (v4(constB120)),
% 9.39/6.94 inference(unit_resolution,[status(thm)],[26712, 288])).
% 9.39/6.94 tff(26714,plain,
% 9.39/6.94 ((~((~v4(constB120)) <=> v18(constB120))) | (~v4(constB120)) | (~v18(constB120))),
% 9.39/6.94 inference(tautology,[status(thm)],[])).
% 9.39/6.94 tff(26715,plain,
% 9.39/6.94 (~v18(constB120)),
% 9.39/6.94 inference(unit_resolution,[status(thm)],[26714, 26713, 26711])).
% 9.39/6.94 tff(26716,plain,
% 9.39/6.94 ((~(v18(constB120) <=> (~((~v19(constB120)) | (~v22(constB120)))))) | v18(constB120) | ((~v19(constB120)) | (~v22(constB120)))),
% 9.39/6.94 inference(tautology,[status(thm)],[])).
% 9.39/6.94 tff(26717,plain,
% 9.39/6.94 ((~v19(constB120)) | (~v22(constB120))),
% 9.39/6.94 inference(unit_resolution,[status(thm)],[26716, 26715, 26709])).
% 9.39/6.94 tff(26718,plain,
% 9.39/6.94 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB120) <=> (v1(constB120) | v6(constB120)))),
% 9.39/6.94 inference(quant_inst,[status(thm)],[])).
% 9.39/6.94 tff(26719,plain,
% 9.39/6.94 (v22(constB120) <=> (v1(constB120) | v6(constB120))),
% 9.39/6.94 inference(unit_resolution,[status(thm)],[26718, 301])).
% 9.39/6.94 tff(26720,plain,
% 9.39/6.94 ((v1(constB120) | v6(constB120)) | (~v1(constB120))),
% 9.39/6.94 inference(tautology,[status(thm)],[])).
% 9.39/6.94 tff(26721,plain,
% 9.39/6.94 (v1(constB120) | v6(constB120)),
% 9.39/6.94 inference(unit_resolution,[status(thm)],[26720, 4318])).
% 9.39/6.94 tff(26722,plain,
% 9.39/6.94 ((~(v22(constB120) <=> (v1(constB120) | v6(constB120)))) | v22(constB120) | (~(v1(constB120) | v6(constB120)))),
% 9.39/6.94 inference(tautology,[status(thm)],[])).
% 9.39/6.94 tff(26723,plain,
% 9.39/6.94 ((~(v22(constB120) <=> (v1(constB120) | v6(constB120)))) | v22(constB120)),
% 9.39/6.94 inference(unit_resolution,[status(thm)],[26722, 26721])).
% 9.39/6.94 tff(26724,plain,
% 9.39/6.94 (v22(constB120)),
% 9.39/6.94 inference(unit_resolution,[status(thm)],[26723, 26719])).
% 9.39/6.94 tff(26725,plain,
% 9.39/6.94 ((~((~v19(constB120)) | (~v22(constB120)))) | (~v19(constB120)) | (~v22(constB120))),
% 9.39/6.94 inference(tautology,[status(thm)],[])).
% 9.39/6.94 tff(26726,plain,
% 9.39/6.94 ((~((~v19(constB120)) | (~v22(constB120)))) | (~v19(constB120))),
% 9.39/6.94 inference(unit_resolution,[status(thm)],[26725, 26724])).
% 9.39/6.94 tff(26727,plain,
% 9.39/6.94 (~v19(constB120)),
% 9.39/6.94 inference(unit_resolution,[status(thm)],[26726, 26717])).
% 9.39/6.94 tff(26728,plain,
% 9.39/6.94 ((~(v19(constB120) <=> (v20(constB120) | v21(constB120)))) | v19(constB120) | (~(v20(constB120) | v21(constB120)))),
% 9.39/6.94 inference(tautology,[status(thm)],[])).
% 9.39/6.94 tff(26729,plain,
% 9.39/6.94 (~(v20(constB120) | v21(constB120))),
% 9.39/6.94 inference(unit_resolution,[status(thm)],[26728, 26727, 26707])).
% 9.39/6.94 tff(26730,plain,
% 9.39/6.94 ((v20(constB120) | v21(constB120)) | (~v21(constB120))),
% 9.39/6.94 inference(tautology,[status(thm)],[])).
% 9.39/6.94 tff(26731,plain,
% 9.39/6.94 (~v21(constB120)),
% 9.39/6.94 inference(unit_resolution,[status(thm)],[26730, 26729])).
% 9.39/6.94 tff(26732,plain,
% 9.39/6.94 ((~((~v21(constB120)) <=> v6(constB120))) | v21(constB120) | v6(constB120)),
% 9.39/6.94 inference(tautology,[status(thm)],[])).
% 9.39/6.94 tff(26733,plain,
% 9.39/6.94 (v6(constB120)),
% 9.39/6.94 inference(unit_resolution,[status(thm)],[26732, 26731, 26705])).
% 9.39/6.94 tff(26734,plain,
% 9.39/6.94 ((~(v6(constB120) <=> v13(constB120))) | (~v6(constB120)) | v13(constB120)),
% 9.39/6.94 inference(tautology,[status(thm)],[])).
% 9.39/6.94 tff(26735,plain,
% 9.39/6.94 (v13(constB120)),
% 9.39/6.94 inference(unit_resolution,[status(thm)],[26734, 26733, 26703])).
% 9.39/6.94 tff(26736,plain,
% 9.39/6.94 ((~(v13(constB120) <=> v9(constB119))) | (~v13(constB120)) | v9(constB119)),
% 9.39/6.94 inference(tautology,[status(thm)],[])).
% 9.39/6.94 tff(26737,plain,
% 9.39/6.94 (v9(constB119)),
% 9.39/6.94 inference(unit_resolution,[status(thm)],[26736, 26735, 26701])).
% 9.39/6.94 tff(26738,plain,
% 9.39/6.94 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB119)) <=> v1(constB119))),
% 9.39/6.94 inference(quant_inst,[status(thm)],[])).
% 9.39/6.94 tff(26739,plain,
% 9.39/6.94 ((~v39(constB119)) <=> v1(constB119)),
% 9.39/6.94 inference(unit_resolution,[status(thm)],[26738, 139])).
% 9.39/6.94 tff(26740,plain,
% 9.39/6.94 ((~((~v39(constB119)) <=> v1(constB119))) | v39(constB119) | v1(constB119)),
% 9.39/6.94 inference(tautology,[status(thm)],[])).
% 9.39/6.94 tff(26741,plain,
% 9.39/6.94 ((~((~v39(constB119)) <=> v1(constB119))) | v39(constB119)),
% 9.39/6.94 inference(unit_resolution,[status(thm)],[26740, 4310])).
% 9.39/6.94 tff(26742,plain,
% 9.39/6.94 (v39(constB119)),
% 9.39/6.94 inference(unit_resolution,[status(thm)],[26741, 26739])).
% 9.39/6.94 tff(26743,plain,
% 9.39/6.94 ((~((~v39(constB119)) | (~v9(constB119)))) | (~v39(constB119)) | (~v9(constB119))),
% 9.39/6.94 inference(tautology,[status(thm)],[])).
% 9.39/6.94 tff(26744,plain,
% 9.39/6.94 ((~((~v39(constB119)) | (~v9(constB119)))) | (~v9(constB119))),
% 9.39/6.94 inference(unit_resolution,[status(thm)],[26743, 26742])).
% 9.39/6.94 tff(26745,plain,
% 9.39/6.94 (~((~v39(constB119)) | (~v9(constB119)))),
% 9.39/6.94 inference(unit_resolution,[status(thm)],[26744, 26737])).
% 9.39/6.94 tff(26746,plain,
% 9.39/6.94 ((~(v141(constB119) <=> (~((~v39(constB119)) | (~v9(constB119)))))) | v141(constB119) | ((~v39(constB119)) | (~v9(constB119)))),
% 9.39/6.94 inference(tautology,[status(thm)],[])).
% 9.39/6.94 tff(26747,plain,
% 9.39/6.94 (v141(constB119)),
% 9.39/6.94 inference(unit_resolution,[status(thm)],[26746, 26745, 26697])).
% 9.39/6.94 tff(26748,plain,
% 9.39/6.94 ((v141(constB119) | v26(constB119)) | (~v141(constB119))),
% 9.39/6.94 inference(tautology,[status(thm)],[])).
% 9.39/6.94 tff(26749,plain,
% 9.39/6.94 (v141(constB119) | v26(constB119)),
% 9.39/6.94 inference(unit_resolution,[status(thm)],[26748, 26747])).
% 9.39/6.94 tff(26750,plain,
% 9.39/6.94 ((~(v140(constB119) <=> (v141(constB119) | v26(constB119)))) | v140(constB119) | (~(v141(constB119) | v26(constB119)))),
% 9.39/6.94 inference(tautology,[status(thm)],[])).
% 9.39/6.94 tff(26751,plain,
% 9.39/6.94 (v140(constB119)),
% 9.39/6.94 inference(unit_resolution,[status(thm)],[26750, 26749, 26695])).
% 9.39/6.94 tff(26752,plain,
% 9.39/6.94 ((~((~v139(constB119)) <=> v140(constB119))) | (~v139(constB119)) | (~v140(constB119))),
% 9.39/6.94 inference(tautology,[status(thm)],[])).
% 9.39/6.94 tff(26753,plain,
% 9.39/6.94 (~v139(constB119)),
% 9.39/6.94 inference(unit_resolution,[status(thm)],[26752, 26751, 26693])).
% 9.39/6.94 tff(26754,plain,
% 9.39/6.94 (((~v128(constB119)) | (~v139(constB119))) | v139(constB119)),
% 9.39/6.94 inference(tautology,[status(thm)],[])).
% 9.39/6.94 tff(26755,plain,
% 9.39/6.94 ((~v128(constB119)) | (~v139(constB119))),
% 9.39/6.94 inference(unit_resolution,[status(thm)],[26754, 26753])).
% 9.39/6.94 tff(26756,plain,
% 9.39/6.94 ((~(v163(constB119) <=> (~((~v128(constB119)) | (~v139(constB119)))))) | (~v163(constB119)) | (~((~v128(constB119)) | (~v139(constB119))))),
% 9.39/6.94 inference(tautology,[status(thm)],[])).
% 9.39/6.94 tff(26757,plain,
% 9.39/6.94 (~v163(constB119)),
% 9.39/6.94 inference(unit_resolution,[status(thm)],[26756, 26755, 26691])).
% 9.39/6.94 tff(26758,plain,
% 9.39/6.94 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB119) <=> (~((~v130(constB119)) | (~v154(constB119)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB119) <=> (~((~v130(constB119)) | (~v154(constB119))))))),
% 9.39/6.94 inference(rewrite,[status(thm)],[])).
% 9.39/6.94 tff(26759,plain,
% 9.39/6.94 ((v164(constB119) <=> (~((~v154(constB119)) | (~v130(constB119))))) <=> (v164(constB119) <=> (~((~v130(constB119)) | (~v154(constB119)))))),
% 9.39/6.94 inference(rewrite,[status(thm)],[])).
% 9.39/6.94 tff(26760,plain,
% 9.39/6.94 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB119) <=> (~((~v154(constB119)) | (~v130(constB119)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB119) <=> (~((~v130(constB119)) | (~v154(constB119))))))),
% 9.39/6.94 inference(monotonicity,[status(thm)],[26759])).
% 9.39/6.94 tff(26761,plain,
% 9.39/6.94 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB119) <=> (~((~v154(constB119)) | (~v130(constB119)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB119) <=> (~((~v130(constB119)) | (~v154(constB119))))))),
% 9.39/6.94 inference(transitivity,[status(thm)],[26760, 26758])).
% 9.39/6.94 tff(26762,plain,
% 9.39/6.94 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB119) <=> (~((~v154(constB119)) | (~v130(constB119)))))),
% 9.39/6.94 inference(quant_inst,[status(thm)],[])).
% 9.39/6.94 tff(26763,plain,
% 9.39/6.94 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB119) <=> (~((~v130(constB119)) | (~v154(constB119)))))),
% 9.39/6.94 inference(modus_ponens,[status(thm)],[26762, 26761])).
% 9.39/6.94 tff(26764,plain,
% 9.39/6.94 (v164(constB119) <=> (~((~v130(constB119)) | (~v154(constB119))))),
% 9.39/6.94 inference(unit_resolution,[status(thm)],[26763, 96])).
% 9.39/6.94 tff(26765,plain,
% 9.39/6.94 ((~![VarNext: $i] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB119) <=> v152(constB119))),
% 9.39/6.94 inference(quant_inst,[status(thm)],[])).
% 9.39/6.94 tff(26766,plain,
% 9.39/6.94 (v130(constB119) <=> v152(constB119)),
% 9.39/6.94 inference(unit_resolution,[status(thm)],[26765, 361])).
% 9.39/6.94 tff(26767,plain,
% 9.39/6.94 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB118, constB119)) | (v152(constB119) <=> v150(constB118)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB118, constB119)) | (v152(constB119) <=> v150(constB118)))),
% 9.39/6.94 inference(rewrite,[status(thm)],[])).
% 9.39/6.94 tff(26768,plain,
% 9.39/6.94 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB118, constB119)) | (v152(constB119) <=> v150(constB118)))),
% 9.39/6.94 inference(quant_inst,[status(thm)],[])).
% 9.39/6.94 tff(26769,plain,
% 9.39/6.94 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB118, constB119)) | (v152(constB119) <=> v150(constB118))),
% 9.39/6.94 inference(modus_ponens,[status(thm)],[26768, 26767])).
% 9.39/6.94 tff(26770,plain,
% 9.39/6.94 (v152(constB119) <=> v150(constB118)),
% 9.39/6.94 inference(unit_resolution,[status(thm)],[26769, 4345, 373])).
% 9.39/6.94 tff(26771,plain,
% 9.39/6.94 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v153(VarCurr) | v155(VarCurr)))) | (v150(constB118) <=> (v153(constB118) | v155(constB118)))),
% 9.39/6.94 inference(quant_inst,[status(thm)],[])).
% 9.39/6.94 tff(26772,plain,
% 9.39/6.94 (v150(constB118) <=> (v153(constB118) | v155(constB118))),
% 9.39/6.94 inference(unit_resolution,[status(thm)],[26771, 387])).
% 9.39/6.94 tff(26773,plain,
% 9.39/6.94 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB118) <=> (~((~v132(constB118)) | (~v154(constB118)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB118) <=> (~((~v132(constB118)) | (~v154(constB118))))))),
% 9.39/6.94 inference(rewrite,[status(thm)],[])).
% 9.39/6.94 tff(26774,plain,
% 9.39/6.94 ((v153(constB118) <=> (~((~v154(constB118)) | (~v132(constB118))))) <=> (v153(constB118) <=> (~((~v132(constB118)) | (~v154(constB118)))))),
% 9.39/6.94 inference(rewrite,[status(thm)],[])).
% 9.39/6.94 tff(26775,plain,
% 9.39/6.94 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB118) <=> (~((~v154(constB118)) | (~v132(constB118)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB118) <=> (~((~v132(constB118)) | (~v154(constB118))))))),
% 9.39/6.94 inference(monotonicity,[status(thm)],[26774])).
% 9.39/6.94 tff(26776,plain,
% 9.39/6.94 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB118) <=> (~((~v154(constB118)) | (~v132(constB118)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB118) <=> (~((~v132(constB118)) | (~v154(constB118))))))),
% 9.39/6.94 inference(transitivity,[status(thm)],[26775, 26773])).
% 9.39/6.94 tff(26777,plain,
% 9.39/6.94 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB118) <=> (~((~v154(constB118)) | (~v132(constB118)))))),
% 9.39/6.94 inference(quant_inst,[status(thm)],[])).
% 9.39/6.94 tff(26778,plain,
% 9.39/6.94 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB118) <=> (~((~v132(constB118)) | (~v154(constB118)))))),
% 9.39/6.94 inference(modus_ponens,[status(thm)],[26777, 26776])).
% 9.39/6.94 tff(26779,plain,
% 9.39/6.94 (v153(constB118) <=> (~((~v132(constB118)) | (~v154(constB118))))),
% 9.39/6.94 inference(unit_resolution,[status(thm)],[26778, 399])).
% 9.39/6.94 tff(26780,plain,
% 9.39/6.94 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB118) <=> (~((~v141(constB118)) | (~v143(constB118)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB118) <=> (~((~v141(constB118)) | (~v143(constB118))))))),
% 9.39/6.94 inference(rewrite,[status(thm)],[])).
% 9.39/6.94 tff(26781,plain,
% 9.39/6.94 ((v154(constB118) <=> (~((~v143(constB118)) | (~v141(constB118))))) <=> (v154(constB118) <=> (~((~v141(constB118)) | (~v143(constB118)))))),
% 9.39/6.94 inference(rewrite,[status(thm)],[])).
% 9.39/6.94 tff(26782,plain,
% 9.39/6.94 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB118) <=> (~((~v143(constB118)) | (~v141(constB118)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB118) <=> (~((~v141(constB118)) | (~v143(constB118))))))),
% 9.39/6.94 inference(monotonicity,[status(thm)],[26781])).
% 9.39/6.94 tff(26783,plain,
% 9.39/6.94 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB118) <=> (~((~v143(constB118)) | (~v141(constB118)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB118) <=> (~((~v141(constB118)) | (~v143(constB118))))))),
% 9.39/6.94 inference(transitivity,[status(thm)],[26782, 26780])).
% 9.39/6.94 tff(26784,plain,
% 9.39/6.94 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB118) <=> (~((~v143(constB118)) | (~v141(constB118)))))),
% 9.39/6.94 inference(quant_inst,[status(thm)],[])).
% 9.39/6.94 tff(26785,plain,
% 9.39/6.94 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB118) <=> (~((~v141(constB118)) | (~v143(constB118)))))),
% 9.39/6.94 inference(modus_ponens,[status(thm)],[26784, 26783])).
% 9.39/6.94 tff(26786,plain,
% 9.39/6.94 (v154(constB118) <=> (~((~v141(constB118)) | (~v143(constB118))))),
% 9.39/6.94 inference(unit_resolution,[status(thm)],[26785, 113])).
% 9.39/6.94 tff(26787,plain,
% 9.39/6.94 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB118) <=> (~((~v39(constB118)) | (~v9(constB118)))))),
% 9.39/6.94 inference(quant_inst,[status(thm)],[])).
% 9.39/6.94 tff(26788,plain,
% 9.39/6.94 (v141(constB118) <=> (~((~v39(constB118)) | (~v9(constB118))))),
% 9.39/6.94 inference(unit_resolution,[status(thm)],[26787, 130])).
% 9.39/6.94 tff(26789,plain,
% 9.39/6.94 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB118)) <=> v1(constB118))),
% 9.39/6.94 inference(quant_inst,[status(thm)],[])).
% 9.39/6.94 tff(26790,plain,
% 9.39/6.94 ((~v39(constB118)) <=> v1(constB118)),
% 9.39/6.94 inference(unit_resolution,[status(thm)],[26789, 139])).
% 9.39/6.94 tff(26791,plain,
% 9.39/6.94 ((~((~v39(constB118)) <=> v1(constB118))) | (~v39(constB118)) | (~v1(constB118))),
% 9.39/6.94 inference(tautology,[status(thm)],[])).
% 9.39/6.94 tff(26792,plain,
% 9.39/6.94 ((~((~v39(constB118)) <=> v1(constB118))) | (~v39(constB118))),
% 9.39/6.94 inference(unit_resolution,[status(thm)],[26791, 4407])).
% 9.39/6.94 tff(26793,plain,
% 9.39/6.94 (~v39(constB118)),
% 9.39/6.94 inference(unit_resolution,[status(thm)],[26792, 26790])).
% 9.39/6.94 tff(26794,plain,
% 9.39/6.94 (((~v39(constB118)) | (~v9(constB118))) | v39(constB118)),
% 9.39/6.94 inference(tautology,[status(thm)],[])).
% 9.39/6.94 tff(26795,plain,
% 9.39/6.94 ((~v39(constB118)) | (~v9(constB118))),
% 9.39/6.94 inference(unit_resolution,[status(thm)],[26794, 26793])).
% 9.39/6.94 tff(26796,plain,
% 9.39/6.94 ((~(v141(constB118) <=> (~((~v39(constB118)) | (~v9(constB118)))))) | (~v141(constB118)) | (~((~v39(constB118)) | (~v9(constB118))))),
% 9.39/6.94 inference(tautology,[status(thm)],[])).
% 9.39/6.94 tff(26797,plain,
% 9.39/6.94 ((~(v141(constB118) <=> (~((~v39(constB118)) | (~v9(constB118)))))) | (~v141(constB118))),
% 9.39/6.94 inference(unit_resolution,[status(thm)],[26796, 26795])).
% 9.39/6.94 tff(26798,plain,
% 9.39/6.94 (~v141(constB118)),
% 9.39/6.94 inference(unit_resolution,[status(thm)],[26797, 26788])).
% 9.39/6.94 tff(26799,plain,
% 9.39/6.94 (((~v141(constB118)) | (~v143(constB118))) | v141(constB118)),
% 9.39/6.94 inference(tautology,[status(thm)],[])).
% 9.39/6.94 tff(26800,plain,
% 9.39/6.94 ((~v141(constB118)) | (~v143(constB118))),
% 9.39/6.94 inference(unit_resolution,[status(thm)],[26799, 26798])).
% 9.39/6.94 tff(26801,plain,
% 9.39/6.94 ((~(v154(constB118) <=> (~((~v141(constB118)) | (~v143(constB118)))))) | (~v154(constB118)) | (~((~v141(constB118)) | (~v143(constB118))))),
% 9.39/6.94 inference(tautology,[status(thm)],[])).
% 9.39/6.94 tff(26802,plain,
% 9.39/6.94 ((~(v154(constB118) <=> (~((~v141(constB118)) | (~v143(constB118)))))) | (~v154(constB118))),
% 9.39/6.94 inference(unit_resolution,[status(thm)],[26801, 26800])).
% 9.39/6.94 tff(26803,plain,
% 9.39/6.94 (~v154(constB118)),
% 9.39/6.94 inference(unit_resolution,[status(thm)],[26802, 26786])).
% 9.39/6.94 tff(26804,plain,
% 9.39/6.94 (((~v132(constB118)) | (~v154(constB118))) | v154(constB118)),
% 9.39/6.94 inference(tautology,[status(thm)],[])).
% 9.39/6.94 tff(26805,plain,
% 9.39/6.94 ((~v132(constB118)) | (~v154(constB118))),
% 9.39/6.94 inference(unit_resolution,[status(thm)],[26804, 26803])).
% 9.39/6.94 tff(26806,plain,
% 9.39/6.94 ((~(v153(constB118) <=> (~((~v132(constB118)) | (~v154(constB118)))))) | (~v153(constB118)) | (~((~v132(constB118)) | (~v154(constB118))))),
% 9.39/6.94 inference(tautology,[status(thm)],[])).
% 9.39/6.94 tff(26807,plain,
% 9.39/6.94 (~v153(constB118)),
% 9.39/6.94 inference(unit_resolution,[status(thm)],[26806, 26805, 26779])).
% 9.39/6.94 tff(26808,plain,
% 9.39/6.94 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB118) <=> (~((~v130(constB118)) | (~v139(constB118)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB118) <=> (~((~v130(constB118)) | (~v139(constB118))))))),
% 9.39/6.94 inference(rewrite,[status(thm)],[])).
% 9.39/6.94 tff(26809,plain,
% 9.39/6.94 ((v155(constB118) <=> (~((~v139(constB118)) | (~v130(constB118))))) <=> (v155(constB118) <=> (~((~v130(constB118)) | (~v139(constB118)))))),
% 9.39/6.94 inference(rewrite,[status(thm)],[])).
% 9.39/6.94 tff(26810,plain,
% 9.39/6.94 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB118) <=> (~((~v139(constB118)) | (~v130(constB118)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB118) <=> (~((~v130(constB118)) | (~v139(constB118))))))),
% 9.39/6.95 inference(monotonicity,[status(thm)],[26809])).
% 9.39/6.95 tff(26811,plain,
% 9.39/6.95 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB118) <=> (~((~v139(constB118)) | (~v130(constB118)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB118) <=> (~((~v130(constB118)) | (~v139(constB118))))))),
% 9.39/6.95 inference(transitivity,[status(thm)],[26810, 26808])).
% 9.39/6.95 tff(26812,plain,
% 9.39/6.95 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB118) <=> (~((~v139(constB118)) | (~v130(constB118)))))),
% 9.39/6.95 inference(quant_inst,[status(thm)],[])).
% 9.39/6.95 tff(26813,plain,
% 9.39/6.95 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB118) <=> (~((~v130(constB118)) | (~v139(constB118)))))),
% 9.39/6.95 inference(modus_ponens,[status(thm)],[26812, 26811])).
% 9.39/6.95 tff(26814,plain,
% 9.39/6.95 (v155(constB118) <=> (~((~v130(constB118)) | (~v139(constB118))))),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[26813, 447])).
% 9.39/6.95 tff(26815,plain,
% 9.39/6.95 ((~![VarNext: $i] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB118) <=> v152(constB118))),
% 9.39/6.95 inference(quant_inst,[status(thm)],[])).
% 9.39/6.95 tff(26816,plain,
% 9.39/6.95 (v130(constB118) <=> v152(constB118)),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[26815, 361])).
% 9.39/6.95 tff(26817,plain,
% 9.39/6.95 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB117, constB118)) | (v152(constB118) <=> v150(constB117)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB117, constB118)) | (v152(constB118) <=> v150(constB117)))),
% 9.39/6.95 inference(rewrite,[status(thm)],[])).
% 9.39/6.95 tff(26818,plain,
% 9.39/6.95 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB117, constB118)) | (v152(constB118) <=> v150(constB117)))),
% 9.39/6.95 inference(quant_inst,[status(thm)],[])).
% 9.39/6.95 tff(26819,plain,
% 9.39/6.95 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB117, constB118)) | (v152(constB118) <=> v150(constB117))),
% 9.39/6.95 inference(modus_ponens,[status(thm)],[26818, 26817])).
% 9.39/6.95 tff(26820,plain,
% 9.39/6.95 (v152(constB118) <=> v150(constB117)),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[26819, 4377, 373])).
% 9.39/6.95 tff(26821,plain,
% 9.39/6.95 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v153(VarCurr) | v155(VarCurr)))) | (v150(constB117) <=> (v153(constB117) | v155(constB117)))),
% 9.39/6.95 inference(quant_inst,[status(thm)],[])).
% 9.39/6.95 tff(26822,plain,
% 9.39/6.95 (v150(constB117) <=> (v153(constB117) | v155(constB117))),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[26821, 387])).
% 9.39/6.95 tff(26823,plain,
% 9.39/6.95 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB117) <=> (~((~v130(constB117)) | (~v139(constB117)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB117) <=> (~((~v130(constB117)) | (~v139(constB117))))))),
% 9.39/6.95 inference(rewrite,[status(thm)],[])).
% 9.39/6.95 tff(26824,plain,
% 9.39/6.95 ((v155(constB117) <=> (~((~v139(constB117)) | (~v130(constB117))))) <=> (v155(constB117) <=> (~((~v130(constB117)) | (~v139(constB117)))))),
% 9.39/6.95 inference(rewrite,[status(thm)],[])).
% 9.39/6.95 tff(26825,plain,
% 9.39/6.95 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB117) <=> (~((~v139(constB117)) | (~v130(constB117)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB117) <=> (~((~v130(constB117)) | (~v139(constB117))))))),
% 9.39/6.95 inference(monotonicity,[status(thm)],[26824])).
% 9.39/6.95 tff(26826,plain,
% 9.39/6.95 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB117) <=> (~((~v139(constB117)) | (~v130(constB117)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB117) <=> (~((~v130(constB117)) | (~v139(constB117))))))),
% 9.39/6.95 inference(transitivity,[status(thm)],[26825, 26823])).
% 9.39/6.95 tff(26827,plain,
% 9.39/6.95 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB117) <=> (~((~v139(constB117)) | (~v130(constB117)))))),
% 9.39/6.95 inference(quant_inst,[status(thm)],[])).
% 9.39/6.95 tff(26828,plain,
% 9.39/6.95 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB117) <=> (~((~v130(constB117)) | (~v139(constB117)))))),
% 9.39/6.95 inference(modus_ponens,[status(thm)],[26827, 26826])).
% 9.39/6.95 tff(26829,plain,
% 9.39/6.95 (v155(constB117) <=> (~((~v130(constB117)) | (~v139(constB117))))),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[26828, 447])).
% 9.39/6.95 tff(26830,plain,
% 9.39/6.95 ((~![VarCurr: $i] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB117)) <=> v140(constB117))),
% 9.39/6.95 inference(quant_inst,[status(thm)],[])).
% 9.39/6.95 tff(26831,plain,
% 9.39/6.95 ((~v139(constB117)) <=> v140(constB117)),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[26830, 203])).
% 9.39/6.95 tff(26832,plain,
% 9.39/6.95 ((~![VarCurr: $i] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB117) <=> (v141(constB117) | v26(constB117)))),
% 9.39/6.95 inference(quant_inst,[status(thm)],[])).
% 9.39/6.95 tff(26833,plain,
% 9.39/6.95 (v140(constB117) <=> (v141(constB117) | v26(constB117))),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[26832, 212])).
% 9.39/6.95 tff(26834,plain,
% 9.39/6.95 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB117) <=> (~((~v39(constB117)) | (~v9(constB117)))))),
% 9.39/6.95 inference(quant_inst,[status(thm)],[])).
% 9.39/6.95 tff(26835,plain,
% 9.39/6.95 (v141(constB117) <=> (~((~v39(constB117)) | (~v9(constB117))))),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[26834, 130])).
% 9.39/6.95 tff(26836,plain,
% 9.39/6.95 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB117, constB118)) | (v13(constB118) <=> v9(constB117)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB117, constB118)) | (v13(constB118) <=> v9(constB117)))),
% 9.39/6.95 inference(rewrite,[status(thm)],[])).
% 9.39/6.95 tff(26837,plain,
% 9.39/6.95 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB117, constB118)) | (v13(constB118) <=> v9(constB117)))),
% 9.39/6.95 inference(quant_inst,[status(thm)],[])).
% 9.39/6.95 tff(26838,plain,
% 9.39/6.95 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB117, constB118)) | (v13(constB118) <=> v9(constB117))),
% 9.39/6.95 inference(modus_ponens,[status(thm)],[26837, 26836])).
% 9.39/6.95 tff(26839,plain,
% 9.39/6.95 (v13(constB118) <=> v9(constB117)),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[26838, 4377, 226])).
% 9.39/6.95 tff(26840,plain,
% 9.39/6.95 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB118) <=> v13(constB118))),
% 9.39/6.95 inference(quant_inst,[status(thm)],[])).
% 9.39/6.95 tff(26841,plain,
% 9.39/6.95 (v6(constB118) <=> v13(constB118)),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[26840, 240])).
% 9.39/6.95 tff(26842,plain,
% 9.39/6.95 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB118)) <=> v6(constB118))),
% 9.39/6.95 inference(quant_inst,[status(thm)],[])).
% 9.39/6.95 tff(26843,plain,
% 9.39/6.95 ((~v21(constB118)) <=> v6(constB118)),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[26842, 249])).
% 9.39/6.95 tff(26844,plain,
% 9.39/6.95 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB118) <=> (v20(constB118) | v21(constB118)))),
% 9.39/6.95 inference(quant_inst,[status(thm)],[])).
% 9.39/6.95 tff(26845,plain,
% 9.39/6.95 (v19(constB118) <=> (v20(constB118) | v21(constB118))),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[26844, 258])).
% 9.39/6.95 tff(26846,plain,
% 9.39/6.95 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB118) <=> (~((~v19(constB118)) | (~v22(constB118)))))),
% 9.39/6.95 inference(quant_inst,[status(thm)],[])).
% 9.39/6.95 tff(26847,plain,
% 9.39/6.95 (v18(constB118) <=> (~((~v19(constB118)) | (~v22(constB118))))),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[26846, 270])).
% 9.39/6.95 tff(26848,plain,
% 9.39/6.95 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB118)) <=> v18(constB118))),
% 9.39/6.95 inference(quant_inst,[status(thm)],[])).
% 9.39/6.95 tff(26849,plain,
% 9.39/6.95 ((~v4(constB118)) <=> v18(constB118)),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[26848, 279])).
% 9.39/6.95 tff(26850,plain,
% 9.39/6.95 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB118)),
% 9.39/6.95 inference(quant_inst,[status(thm)],[])).
% 9.39/6.95 tff(26851,plain,
% 9.39/6.95 (v4(constB118)),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[26850, 288])).
% 9.39/6.95 tff(26852,plain,
% 9.39/6.95 ((~((~v4(constB118)) <=> v18(constB118))) | (~v4(constB118)) | (~v18(constB118))),
% 9.39/6.95 inference(tautology,[status(thm)],[])).
% 9.39/6.95 tff(26853,plain,
% 9.39/6.95 (~v18(constB118)),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[26852, 26851, 26849])).
% 9.39/6.95 tff(26854,plain,
% 9.39/6.95 ((~(v18(constB118) <=> (~((~v19(constB118)) | (~v22(constB118)))))) | v18(constB118) | ((~v19(constB118)) | (~v22(constB118)))),
% 9.39/6.95 inference(tautology,[status(thm)],[])).
% 9.39/6.95 tff(26855,plain,
% 9.39/6.95 ((~v19(constB118)) | (~v22(constB118))),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[26854, 26853, 26847])).
% 9.39/6.95 tff(26856,plain,
% 9.39/6.95 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB118) <=> (v1(constB118) | v6(constB118)))),
% 9.39/6.95 inference(quant_inst,[status(thm)],[])).
% 9.39/6.95 tff(26857,plain,
% 9.39/6.95 (v22(constB118) <=> (v1(constB118) | v6(constB118))),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[26856, 301])).
% 9.39/6.95 tff(26858,plain,
% 9.39/6.95 ((v1(constB118) | v6(constB118)) | (~v1(constB118))),
% 9.39/6.95 inference(tautology,[status(thm)],[])).
% 9.39/6.95 tff(26859,plain,
% 9.39/6.95 (v1(constB118) | v6(constB118)),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[26858, 4407])).
% 9.39/6.95 tff(26860,plain,
% 9.39/6.95 ((~(v22(constB118) <=> (v1(constB118) | v6(constB118)))) | v22(constB118) | (~(v1(constB118) | v6(constB118)))),
% 9.39/6.95 inference(tautology,[status(thm)],[])).
% 9.39/6.95 tff(26861,plain,
% 9.39/6.95 ((~(v22(constB118) <=> (v1(constB118) | v6(constB118)))) | v22(constB118)),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[26860, 26859])).
% 9.39/6.95 tff(26862,plain,
% 9.39/6.95 (v22(constB118)),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[26861, 26857])).
% 9.39/6.95 tff(26863,plain,
% 9.39/6.95 ((~((~v19(constB118)) | (~v22(constB118)))) | (~v19(constB118)) | (~v22(constB118))),
% 9.39/6.95 inference(tautology,[status(thm)],[])).
% 9.39/6.95 tff(26864,plain,
% 9.39/6.95 ((~((~v19(constB118)) | (~v22(constB118)))) | (~v19(constB118))),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[26863, 26862])).
% 9.39/6.95 tff(26865,plain,
% 9.39/6.95 (~v19(constB118)),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[26864, 26855])).
% 9.39/6.95 tff(26866,plain,
% 9.39/6.95 ((~(v19(constB118) <=> (v20(constB118) | v21(constB118)))) | v19(constB118) | (~(v20(constB118) | v21(constB118)))),
% 9.39/6.95 inference(tautology,[status(thm)],[])).
% 9.39/6.95 tff(26867,plain,
% 9.39/6.95 (~(v20(constB118) | v21(constB118))),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[26866, 26865, 26845])).
% 9.39/6.95 tff(26868,plain,
% 9.39/6.95 ((v20(constB118) | v21(constB118)) | (~v21(constB118))),
% 9.39/6.95 inference(tautology,[status(thm)],[])).
% 9.39/6.95 tff(26869,plain,
% 9.39/6.95 (~v21(constB118)),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[26868, 26867])).
% 9.39/6.95 tff(26870,plain,
% 9.39/6.95 ((~((~v21(constB118)) <=> v6(constB118))) | v21(constB118) | v6(constB118)),
% 9.39/6.95 inference(tautology,[status(thm)],[])).
% 9.39/6.95 tff(26871,plain,
% 9.39/6.95 (v6(constB118)),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[26870, 26869, 26843])).
% 9.39/6.95 tff(26872,plain,
% 9.39/6.95 ((~(v6(constB118) <=> v13(constB118))) | (~v6(constB118)) | v13(constB118)),
% 9.39/6.95 inference(tautology,[status(thm)],[])).
% 9.39/6.95 tff(26873,plain,
% 9.39/6.95 (v13(constB118)),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[26872, 26871, 26841])).
% 9.39/6.95 tff(26874,plain,
% 9.39/6.95 ((~(v13(constB118) <=> v9(constB117))) | (~v13(constB118)) | v9(constB117)),
% 9.39/6.95 inference(tautology,[status(thm)],[])).
% 9.39/6.95 tff(26875,plain,
% 9.39/6.95 (v9(constB117)),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[26874, 26873, 26839])).
% 9.39/6.95 tff(26876,plain,
% 9.39/6.95 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB117)) <=> v1(constB117))),
% 9.39/6.95 inference(quant_inst,[status(thm)],[])).
% 9.39/6.95 tff(26877,plain,
% 9.39/6.95 ((~v39(constB117)) <=> v1(constB117)),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[26876, 139])).
% 9.39/6.95 tff(26878,plain,
% 9.39/6.95 ((~((~v39(constB117)) <=> v1(constB117))) | v39(constB117) | v1(constB117)),
% 9.39/6.95 inference(tautology,[status(thm)],[])).
% 9.39/6.95 tff(26879,plain,
% 9.39/6.95 ((~((~v39(constB117)) <=> v1(constB117))) | v39(constB117)),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[26878, 4399])).
% 9.39/6.95 tff(26880,plain,
% 9.39/6.95 (v39(constB117)),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[26879, 26877])).
% 9.39/6.95 tff(26881,plain,
% 9.39/6.95 ((~((~v39(constB117)) | (~v9(constB117)))) | (~v39(constB117)) | (~v9(constB117))),
% 9.39/6.95 inference(tautology,[status(thm)],[])).
% 9.39/6.95 tff(26882,plain,
% 9.39/6.95 ((~((~v39(constB117)) | (~v9(constB117)))) | (~v9(constB117))),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[26881, 26880])).
% 9.39/6.95 tff(26883,plain,
% 9.39/6.95 (~((~v39(constB117)) | (~v9(constB117)))),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[26882, 26875])).
% 9.39/6.95 tff(26884,plain,
% 9.39/6.95 ((~(v141(constB117) <=> (~((~v39(constB117)) | (~v9(constB117)))))) | v141(constB117) | ((~v39(constB117)) | (~v9(constB117)))),
% 9.39/6.95 inference(tautology,[status(thm)],[])).
% 9.39/6.95 tff(26885,plain,
% 9.39/6.95 (v141(constB117)),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[26884, 26883, 26835])).
% 9.39/6.95 tff(26886,plain,
% 9.39/6.95 ((v141(constB117) | v26(constB117)) | (~v141(constB117))),
% 9.39/6.95 inference(tautology,[status(thm)],[])).
% 9.39/6.95 tff(26887,plain,
% 9.39/6.95 (v141(constB117) | v26(constB117)),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[26886, 26885])).
% 9.39/6.95 tff(26888,plain,
% 9.39/6.95 ((~(v140(constB117) <=> (v141(constB117) | v26(constB117)))) | v140(constB117) | (~(v141(constB117) | v26(constB117)))),
% 9.39/6.95 inference(tautology,[status(thm)],[])).
% 9.39/6.95 tff(26889,plain,
% 9.39/6.95 (v140(constB117)),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[26888, 26887, 26833])).
% 9.39/6.95 tff(26890,plain,
% 9.39/6.95 ((~((~v139(constB117)) <=> v140(constB117))) | (~v139(constB117)) | (~v140(constB117))),
% 9.39/6.95 inference(tautology,[status(thm)],[])).
% 9.39/6.95 tff(26891,plain,
% 9.39/6.95 (~v139(constB117)),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[26890, 26889, 26831])).
% 9.39/6.95 tff(26892,plain,
% 9.39/6.95 (((~v130(constB117)) | (~v139(constB117))) | v139(constB117)),
% 9.39/6.95 inference(tautology,[status(thm)],[])).
% 9.39/6.95 tff(26893,plain,
% 9.39/6.95 ((~v130(constB117)) | (~v139(constB117))),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[26892, 26891])).
% 9.39/6.95 tff(26894,plain,
% 9.39/6.95 ((~(v155(constB117) <=> (~((~v130(constB117)) | (~v139(constB117)))))) | (~v155(constB117)) | (~((~v130(constB117)) | (~v139(constB117))))),
% 9.39/6.95 inference(tautology,[status(thm)],[])).
% 9.39/6.95 tff(26895,plain,
% 9.39/6.95 (~v155(constB117)),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[26894, 26893, 26829])).
% 9.39/6.95 tff(26896,plain,
% 9.39/6.95 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB117) <=> (~((~v132(constB117)) | (~v154(constB117)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB117) <=> (~((~v132(constB117)) | (~v154(constB117))))))),
% 9.39/6.95 inference(rewrite,[status(thm)],[])).
% 9.39/6.95 tff(26897,plain,
% 9.39/6.95 ((v153(constB117) <=> (~((~v154(constB117)) | (~v132(constB117))))) <=> (v153(constB117) <=> (~((~v132(constB117)) | (~v154(constB117)))))),
% 9.39/6.95 inference(rewrite,[status(thm)],[])).
% 9.39/6.95 tff(26898,plain,
% 9.39/6.95 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB117) <=> (~((~v154(constB117)) | (~v132(constB117)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB117) <=> (~((~v132(constB117)) | (~v154(constB117))))))),
% 9.39/6.95 inference(monotonicity,[status(thm)],[26897])).
% 9.39/6.95 tff(26899,plain,
% 9.39/6.95 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB117) <=> (~((~v154(constB117)) | (~v132(constB117)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB117) <=> (~((~v132(constB117)) | (~v154(constB117))))))),
% 9.39/6.95 inference(transitivity,[status(thm)],[26898, 26896])).
% 9.39/6.95 tff(26900,plain,
% 9.39/6.95 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB117) <=> (~((~v154(constB117)) | (~v132(constB117)))))),
% 9.39/6.95 inference(quant_inst,[status(thm)],[])).
% 9.39/6.95 tff(26901,plain,
% 9.39/6.95 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB117) <=> (~((~v132(constB117)) | (~v154(constB117)))))),
% 9.39/6.95 inference(modus_ponens,[status(thm)],[26900, 26899])).
% 9.39/6.95 tff(26902,plain,
% 9.39/6.95 (v153(constB117) <=> (~((~v132(constB117)) | (~v154(constB117))))),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[26901, 399])).
% 9.39/6.95 tff(26903,plain,
% 9.39/6.95 ((~![VarNext: $i] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB117) <=> v137(constB117))),
% 9.39/6.95 inference(quant_inst,[status(thm)],[])).
% 9.39/6.95 tff(26904,plain,
% 9.39/6.95 (v132(constB117) <=> v137(constB117)),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[26903, 558])).
% 9.39/6.95 tff(26905,plain,
% 9.39/6.95 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB116, constB117)) | (v137(constB117) <=> v135(constB116)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB116, constB117)) | (v137(constB117) <=> v135(constB116)))),
% 9.39/6.95 inference(rewrite,[status(thm)],[])).
% 9.39/6.95 tff(26906,plain,
% 9.39/6.95 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB116, constB117)) | (v137(constB117) <=> v135(constB116)))),
% 9.39/6.95 inference(quant_inst,[status(thm)],[])).
% 9.39/6.95 tff(26907,plain,
% 9.39/6.95 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB116, constB117)) | (v137(constB117) <=> v135(constB116))),
% 9.39/6.95 inference(modus_ponens,[status(thm)],[26906, 26905])).
% 9.39/6.95 tff(26908,plain,
% 9.39/6.95 (v137(constB117) <=> v135(constB116)),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[26907, 4436, 570])).
% 9.39/6.95 tff(26909,plain,
% 9.39/6.95 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB116) <=> (v138(constB116) | v142(constB116)))),
% 9.39/6.95 inference(quant_inst,[status(thm)],[])).
% 9.39/6.95 tff(26910,plain,
% 9.39/6.95 (v135(constB116) <=> (v138(constB116) | v142(constB116))),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[26909, 584])).
% 9.39/6.95 tff(26911,plain,
% 9.39/6.95 ((~![VarCurr: $i] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB116) <=> (~((~v143(constB116)) | (~v144(constB116)))))),
% 9.39/6.95 inference(quant_inst,[status(thm)],[])).
% 9.39/6.95 tff(26912,plain,
% 9.39/6.95 (v142(constB116) <=> (~((~v143(constB116)) | (~v144(constB116))))),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[26911, 596])).
% 9.39/6.95 tff(26913,plain,
% 9.39/6.95 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB116) <=> (~((~v141(constB116)) | (~v145(constB116)))))),
% 9.39/6.95 inference(quant_inst,[status(thm)],[])).
% 9.39/6.95 tff(26914,plain,
% 9.39/6.95 (v144(constB116) <=> (~((~v141(constB116)) | (~v145(constB116))))),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[26913, 608])).
% 9.39/6.95 tff(26915,plain,
% 9.39/6.95 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB116) <=> (~((~v39(constB116)) | (~v9(constB116)))))),
% 9.39/6.95 inference(quant_inst,[status(thm)],[])).
% 9.39/6.95 tff(26916,plain,
% 9.39/6.95 (v141(constB116) <=> (~((~v39(constB116)) | (~v9(constB116))))),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[26915, 130])).
% 9.39/6.95 tff(26917,plain,
% 9.39/6.95 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB116)) <=> v1(constB116))),
% 9.39/6.95 inference(quant_inst,[status(thm)],[])).
% 9.39/6.95 tff(26918,plain,
% 9.39/6.95 ((~v39(constB116)) <=> v1(constB116)),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[26917, 139])).
% 9.39/6.95 tff(26919,plain,
% 9.39/6.95 ((~((~v39(constB116)) <=> v1(constB116))) | (~v39(constB116)) | (~v1(constB116))),
% 9.39/6.95 inference(tautology,[status(thm)],[])).
% 9.39/6.95 tff(26920,plain,
% 9.39/6.95 ((~((~v39(constB116)) <=> v1(constB116))) | (~v39(constB116))),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[26919, 4498])).
% 9.39/6.95 tff(26921,plain,
% 9.39/6.95 (~v39(constB116)),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[26920, 26918])).
% 9.39/6.95 tff(26922,plain,
% 9.39/6.95 (((~v39(constB116)) | (~v9(constB116))) | v39(constB116)),
% 9.39/6.95 inference(tautology,[status(thm)],[])).
% 9.39/6.95 tff(26923,plain,
% 9.39/6.95 ((~v39(constB116)) | (~v9(constB116))),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[26922, 26921])).
% 9.39/6.95 tff(26924,plain,
% 9.39/6.95 ((~(v141(constB116) <=> (~((~v39(constB116)) | (~v9(constB116)))))) | (~v141(constB116)) | (~((~v39(constB116)) | (~v9(constB116))))),
% 9.39/6.95 inference(tautology,[status(thm)],[])).
% 9.39/6.95 tff(26925,plain,
% 9.39/6.95 ((~(v141(constB116) <=> (~((~v39(constB116)) | (~v9(constB116)))))) | (~v141(constB116))),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[26924, 26923])).
% 9.39/6.95 tff(26926,plain,
% 9.39/6.95 (~v141(constB116)),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[26925, 26916])).
% 9.39/6.95 tff(26927,plain,
% 9.39/6.95 (((~v141(constB116)) | (~v145(constB116))) | v141(constB116)),
% 9.39/6.95 inference(tautology,[status(thm)],[])).
% 9.39/6.95 tff(26928,plain,
% 9.39/6.95 ((~v141(constB116)) | (~v145(constB116))),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[26927, 26926])).
% 9.39/6.95 tff(26929,plain,
% 9.39/6.95 ((~(v144(constB116) <=> (~((~v141(constB116)) | (~v145(constB116)))))) | (~v144(constB116)) | (~((~v141(constB116)) | (~v145(constB116))))),
% 9.39/6.95 inference(tautology,[status(thm)],[])).
% 9.39/6.95 tff(26930,plain,
% 9.39/6.95 ((~(v144(constB116) <=> (~((~v141(constB116)) | (~v145(constB116)))))) | (~v144(constB116))),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[26929, 26928])).
% 9.39/6.95 tff(26931,plain,
% 9.39/6.95 (~v144(constB116)),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[26930, 26914])).
% 9.39/6.95 tff(26932,plain,
% 9.39/6.95 (((~v143(constB116)) | (~v144(constB116))) | v144(constB116)),
% 9.39/6.95 inference(tautology,[status(thm)],[])).
% 9.39/6.95 tff(26933,plain,
% 9.39/6.95 ((~v143(constB116)) | (~v144(constB116))),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[26932, 26931])).
% 9.39/6.95 tff(26934,plain,
% 9.39/6.95 ((~(v142(constB116) <=> (~((~v143(constB116)) | (~v144(constB116)))))) | (~v142(constB116)) | (~((~v143(constB116)) | (~v144(constB116))))),
% 9.39/6.95 inference(tautology,[status(thm)],[])).
% 9.39/6.95 tff(26935,plain,
% 9.39/6.95 (~v142(constB116)),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[26934, 26933, 26912])).
% 9.39/6.95 tff(26936,plain,
% 9.39/6.95 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB116) <=> (~((~v132(constB116)) | (~v139(constB116)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB116) <=> (~((~v132(constB116)) | (~v139(constB116))))))),
% 9.39/6.95 inference(rewrite,[status(thm)],[])).
% 9.39/6.95 tff(26937,plain,
% 9.39/6.95 ((v138(constB116) <=> (~((~v139(constB116)) | (~v132(constB116))))) <=> (v138(constB116) <=> (~((~v132(constB116)) | (~v139(constB116)))))),
% 9.39/6.95 inference(rewrite,[status(thm)],[])).
% 9.39/6.95 tff(26938,plain,
% 9.39/6.95 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB116) <=> (~((~v139(constB116)) | (~v132(constB116)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB116) <=> (~((~v132(constB116)) | (~v139(constB116))))))),
% 9.39/6.95 inference(monotonicity,[status(thm)],[26937])).
% 9.39/6.95 tff(26939,plain,
% 9.39/6.95 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB116) <=> (~((~v139(constB116)) | (~v132(constB116)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB116) <=> (~((~v132(constB116)) | (~v139(constB116))))))),
% 9.39/6.95 inference(transitivity,[status(thm)],[26938, 26936])).
% 9.39/6.95 tff(26940,plain,
% 9.39/6.95 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB116) <=> (~((~v139(constB116)) | (~v132(constB116)))))),
% 9.39/6.95 inference(quant_inst,[status(thm)],[])).
% 9.39/6.95 tff(26941,plain,
% 9.39/6.95 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB116) <=> (~((~v132(constB116)) | (~v139(constB116)))))),
% 9.39/6.95 inference(modus_ponens,[status(thm)],[26940, 26939])).
% 9.39/6.95 tff(26942,plain,
% 9.39/6.95 (v138(constB116) <=> (~((~v132(constB116)) | (~v139(constB116))))),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[26941, 644])).
% 9.39/6.95 tff(26943,plain,
% 9.39/6.95 ((~![VarNext: $i] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB116) <=> v137(constB116))),
% 9.39/6.95 inference(quant_inst,[status(thm)],[])).
% 9.39/6.95 tff(26944,plain,
% 9.39/6.95 (v132(constB116) <=> v137(constB116)),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[26943, 558])).
% 9.39/6.95 tff(26945,plain,
% 9.39/6.95 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB115, constB116)) | (v137(constB116) <=> v135(constB115)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB115, constB116)) | (v137(constB116) <=> v135(constB115)))),
% 9.39/6.95 inference(rewrite,[status(thm)],[])).
% 9.39/6.95 tff(26946,plain,
% 9.39/6.95 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB115, constB116)) | (v137(constB116) <=> v135(constB115)))),
% 9.39/6.95 inference(quant_inst,[status(thm)],[])).
% 9.39/6.95 tff(26947,plain,
% 9.39/6.95 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB115, constB116)) | (v137(constB116) <=> v135(constB115))),
% 9.39/6.95 inference(modus_ponens,[status(thm)],[26946, 26945])).
% 9.39/6.95 tff(26948,plain,
% 9.39/6.95 (v137(constB116) <=> v135(constB115)),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[26947, 4468, 570])).
% 9.39/6.95 tff(26949,plain,
% 9.39/6.95 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB115) <=> (v138(constB115) | v142(constB115)))),
% 9.39/6.95 inference(quant_inst,[status(thm)],[])).
% 9.39/6.95 tff(26950,plain,
% 9.39/6.95 (v135(constB115) <=> (v138(constB115) | v142(constB115))),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[26949, 584])).
% 9.39/6.95 tff(26951,plain,
% 9.39/6.95 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB115) <=> (~((~v132(constB115)) | (~v139(constB115)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB115) <=> (~((~v132(constB115)) | (~v139(constB115))))))),
% 9.39/6.95 inference(rewrite,[status(thm)],[])).
% 9.39/6.95 tff(26952,plain,
% 9.39/6.95 ((v138(constB115) <=> (~((~v139(constB115)) | (~v132(constB115))))) <=> (v138(constB115) <=> (~((~v132(constB115)) | (~v139(constB115)))))),
% 9.39/6.95 inference(rewrite,[status(thm)],[])).
% 9.39/6.95 tff(26953,plain,
% 9.39/6.95 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB115) <=> (~((~v139(constB115)) | (~v132(constB115)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB115) <=> (~((~v132(constB115)) | (~v139(constB115))))))),
% 9.39/6.95 inference(monotonicity,[status(thm)],[26952])).
% 9.39/6.95 tff(26954,plain,
% 9.39/6.95 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB115) <=> (~((~v139(constB115)) | (~v132(constB115)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB115) <=> (~((~v132(constB115)) | (~v139(constB115))))))),
% 9.39/6.95 inference(transitivity,[status(thm)],[26953, 26951])).
% 9.39/6.95 tff(26955,plain,
% 9.39/6.95 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB115) <=> (~((~v139(constB115)) | (~v132(constB115)))))),
% 9.39/6.95 inference(quant_inst,[status(thm)],[])).
% 9.39/6.95 tff(26956,plain,
% 9.39/6.95 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB115) <=> (~((~v132(constB115)) | (~v139(constB115)))))),
% 9.39/6.95 inference(modus_ponens,[status(thm)],[26955, 26954])).
% 9.39/6.95 tff(26957,plain,
% 9.39/6.95 (v138(constB115) <=> (~((~v132(constB115)) | (~v139(constB115))))),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[26956, 644])).
% 9.39/6.95 tff(26958,plain,
% 9.39/6.95 ((~![VarCurr: $i] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB115)) <=> v140(constB115))),
% 9.39/6.95 inference(quant_inst,[status(thm)],[])).
% 9.39/6.95 tff(26959,plain,
% 9.39/6.95 ((~v139(constB115)) <=> v140(constB115)),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[26958, 203])).
% 9.39/6.95 tff(26960,plain,
% 9.39/6.95 ((~![VarCurr: $i] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB115) <=> (v141(constB115) | v26(constB115)))),
% 9.39/6.95 inference(quant_inst,[status(thm)],[])).
% 9.39/6.95 tff(26961,plain,
% 9.39/6.95 (v140(constB115) <=> (v141(constB115) | v26(constB115))),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[26960, 212])).
% 9.39/6.95 tff(26962,plain,
% 9.39/6.95 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB115) <=> (~((~v39(constB115)) | (~v9(constB115)))))),
% 9.39/6.95 inference(quant_inst,[status(thm)],[])).
% 9.39/6.95 tff(26963,plain,
% 9.39/6.95 (v141(constB115) <=> (~((~v39(constB115)) | (~v9(constB115))))),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[26962, 130])).
% 9.39/6.95 tff(26964,plain,
% 9.39/6.95 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB115, constB116)) | (v13(constB116) <=> v9(constB115)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB115, constB116)) | (v13(constB116) <=> v9(constB115)))),
% 9.39/6.95 inference(rewrite,[status(thm)],[])).
% 9.39/6.95 tff(26965,plain,
% 9.39/6.95 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB115, constB116)) | (v13(constB116) <=> v9(constB115)))),
% 9.39/6.95 inference(quant_inst,[status(thm)],[])).
% 9.39/6.95 tff(26966,plain,
% 9.39/6.95 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB115, constB116)) | (v13(constB116) <=> v9(constB115))),
% 9.39/6.95 inference(modus_ponens,[status(thm)],[26965, 26964])).
% 9.39/6.95 tff(26967,plain,
% 9.39/6.95 (v13(constB116) <=> v9(constB115)),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[26966, 4468, 226])).
% 9.39/6.95 tff(26968,plain,
% 9.39/6.95 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB116) <=> v13(constB116))),
% 9.39/6.95 inference(quant_inst,[status(thm)],[])).
% 9.39/6.95 tff(26969,plain,
% 9.39/6.95 (v6(constB116) <=> v13(constB116)),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[26968, 240])).
% 9.39/6.95 tff(26970,plain,
% 9.39/6.95 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB116)) <=> v6(constB116))),
% 9.39/6.95 inference(quant_inst,[status(thm)],[])).
% 9.39/6.95 tff(26971,plain,
% 9.39/6.95 ((~v21(constB116)) <=> v6(constB116)),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[26970, 249])).
% 9.39/6.95 tff(26972,plain,
% 9.39/6.95 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB116) <=> (v20(constB116) | v21(constB116)))),
% 9.39/6.95 inference(quant_inst,[status(thm)],[])).
% 9.39/6.95 tff(26973,plain,
% 9.39/6.95 (v19(constB116) <=> (v20(constB116) | v21(constB116))),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[26972, 258])).
% 9.39/6.95 tff(26974,plain,
% 9.39/6.95 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB116) <=> (~((~v19(constB116)) | (~v22(constB116)))))),
% 9.39/6.95 inference(quant_inst,[status(thm)],[])).
% 9.39/6.95 tff(26975,plain,
% 9.39/6.95 (v18(constB116) <=> (~((~v19(constB116)) | (~v22(constB116))))),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[26974, 270])).
% 9.39/6.95 tff(26976,plain,
% 9.39/6.95 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB116)) <=> v18(constB116))),
% 9.39/6.95 inference(quant_inst,[status(thm)],[])).
% 9.39/6.95 tff(26977,plain,
% 9.39/6.95 ((~v4(constB116)) <=> v18(constB116)),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[26976, 279])).
% 9.39/6.95 tff(26978,plain,
% 9.39/6.95 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB116)),
% 9.39/6.95 inference(quant_inst,[status(thm)],[])).
% 9.39/6.95 tff(26979,plain,
% 9.39/6.95 (v4(constB116)),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[26978, 288])).
% 9.39/6.95 tff(26980,plain,
% 9.39/6.95 ((~((~v4(constB116)) <=> v18(constB116))) | (~v4(constB116)) | (~v18(constB116))),
% 9.39/6.95 inference(tautology,[status(thm)],[])).
% 9.39/6.95 tff(26981,plain,
% 9.39/6.95 (~v18(constB116)),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[26980, 26979, 26977])).
% 9.39/6.95 tff(26982,plain,
% 9.39/6.95 ((~(v18(constB116) <=> (~((~v19(constB116)) | (~v22(constB116)))))) | v18(constB116) | ((~v19(constB116)) | (~v22(constB116)))),
% 9.39/6.95 inference(tautology,[status(thm)],[])).
% 9.39/6.95 tff(26983,plain,
% 9.39/6.95 ((~v19(constB116)) | (~v22(constB116))),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[26982, 26981, 26975])).
% 9.39/6.95 tff(26984,plain,
% 9.39/6.95 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB116) <=> (v1(constB116) | v6(constB116)))),
% 9.39/6.95 inference(quant_inst,[status(thm)],[])).
% 9.39/6.95 tff(26985,plain,
% 9.39/6.95 (v22(constB116) <=> (v1(constB116) | v6(constB116))),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[26984, 301])).
% 9.39/6.95 tff(26986,plain,
% 9.39/6.95 ((v1(constB116) | v6(constB116)) | (~v1(constB116))),
% 9.39/6.95 inference(tautology,[status(thm)],[])).
% 9.39/6.95 tff(26987,plain,
% 9.39/6.95 (v1(constB116) | v6(constB116)),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[26986, 4498])).
% 9.39/6.95 tff(26988,plain,
% 9.39/6.95 ((~(v22(constB116) <=> (v1(constB116) | v6(constB116)))) | v22(constB116) | (~(v1(constB116) | v6(constB116)))),
% 9.39/6.95 inference(tautology,[status(thm)],[])).
% 9.39/6.95 tff(26989,plain,
% 9.39/6.95 ((~(v22(constB116) <=> (v1(constB116) | v6(constB116)))) | v22(constB116)),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[26988, 26987])).
% 9.39/6.95 tff(26990,plain,
% 9.39/6.95 (v22(constB116)),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[26989, 26985])).
% 9.39/6.95 tff(26991,plain,
% 9.39/6.95 ((~((~v19(constB116)) | (~v22(constB116)))) | (~v19(constB116)) | (~v22(constB116))),
% 9.39/6.95 inference(tautology,[status(thm)],[])).
% 9.39/6.95 tff(26992,plain,
% 9.39/6.95 ((~((~v19(constB116)) | (~v22(constB116)))) | (~v19(constB116))),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[26991, 26990])).
% 9.39/6.95 tff(26993,plain,
% 9.39/6.95 (~v19(constB116)),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[26992, 26983])).
% 9.39/6.95 tff(26994,plain,
% 9.39/6.95 ((~(v19(constB116) <=> (v20(constB116) | v21(constB116)))) | v19(constB116) | (~(v20(constB116) | v21(constB116)))),
% 9.39/6.95 inference(tautology,[status(thm)],[])).
% 9.39/6.95 tff(26995,plain,
% 9.39/6.95 (~(v20(constB116) | v21(constB116))),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[26994, 26993, 26973])).
% 9.39/6.95 tff(26996,plain,
% 9.39/6.95 ((v20(constB116) | v21(constB116)) | (~v21(constB116))),
% 9.39/6.95 inference(tautology,[status(thm)],[])).
% 9.39/6.95 tff(26997,plain,
% 9.39/6.95 (~v21(constB116)),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[26996, 26995])).
% 9.39/6.95 tff(26998,plain,
% 9.39/6.95 ((~((~v21(constB116)) <=> v6(constB116))) | v21(constB116) | v6(constB116)),
% 9.39/6.95 inference(tautology,[status(thm)],[])).
% 9.39/6.95 tff(26999,plain,
% 9.39/6.95 (v6(constB116)),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[26998, 26997, 26971])).
% 9.39/6.95 tff(27000,plain,
% 9.39/6.95 ((~(v6(constB116) <=> v13(constB116))) | (~v6(constB116)) | v13(constB116)),
% 9.39/6.95 inference(tautology,[status(thm)],[])).
% 9.39/6.95 tff(27001,plain,
% 9.39/6.95 (v13(constB116)),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[27000, 26999, 26969])).
% 9.39/6.95 tff(27002,plain,
% 9.39/6.95 ((~(v13(constB116) <=> v9(constB115))) | (~v13(constB116)) | v9(constB115)),
% 9.39/6.95 inference(tautology,[status(thm)],[])).
% 9.39/6.95 tff(27003,plain,
% 9.39/6.95 (v9(constB115)),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[27002, 27001, 26967])).
% 9.39/6.95 tff(27004,plain,
% 9.39/6.95 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB115)) <=> v1(constB115))),
% 9.39/6.95 inference(quant_inst,[status(thm)],[])).
% 9.39/6.95 tff(27005,plain,
% 9.39/6.95 ((~v39(constB115)) <=> v1(constB115)),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[27004, 139])).
% 9.39/6.95 tff(27006,plain,
% 9.39/6.95 ((~((~v39(constB115)) <=> v1(constB115))) | v39(constB115) | v1(constB115)),
% 9.39/6.95 inference(tautology,[status(thm)],[])).
% 9.39/6.95 tff(27007,plain,
% 9.39/6.95 ((~((~v39(constB115)) <=> v1(constB115))) | v39(constB115)),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[27006, 4490])).
% 9.39/6.95 tff(27008,plain,
% 9.39/6.95 (v39(constB115)),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[27007, 27005])).
% 9.39/6.95 tff(27009,plain,
% 9.39/6.95 ((~((~v39(constB115)) | (~v9(constB115)))) | (~v39(constB115)) | (~v9(constB115))),
% 9.39/6.95 inference(tautology,[status(thm)],[])).
% 9.39/6.95 tff(27010,plain,
% 9.39/6.95 ((~((~v39(constB115)) | (~v9(constB115)))) | (~v9(constB115))),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[27009, 27008])).
% 9.39/6.95 tff(27011,plain,
% 9.39/6.95 (~((~v39(constB115)) | (~v9(constB115)))),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[27010, 27003])).
% 9.39/6.95 tff(27012,plain,
% 9.39/6.95 ((~(v141(constB115) <=> (~((~v39(constB115)) | (~v9(constB115)))))) | v141(constB115) | ((~v39(constB115)) | (~v9(constB115)))),
% 9.39/6.95 inference(tautology,[status(thm)],[])).
% 9.39/6.95 tff(27013,plain,
% 9.39/6.95 (v141(constB115)),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[27012, 27011, 26963])).
% 9.39/6.95 tff(27014,plain,
% 9.39/6.95 ((v141(constB115) | v26(constB115)) | (~v141(constB115))),
% 9.39/6.95 inference(tautology,[status(thm)],[])).
% 9.39/6.95 tff(27015,plain,
% 9.39/6.95 (v141(constB115) | v26(constB115)),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[27014, 27013])).
% 9.39/6.95 tff(27016,plain,
% 9.39/6.95 ((~(v140(constB115) <=> (v141(constB115) | v26(constB115)))) | v140(constB115) | (~(v141(constB115) | v26(constB115)))),
% 9.39/6.95 inference(tautology,[status(thm)],[])).
% 9.39/6.95 tff(27017,plain,
% 9.39/6.95 (v140(constB115)),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[27016, 27015, 26961])).
% 9.39/6.95 tff(27018,plain,
% 9.39/6.95 ((~((~v139(constB115)) <=> v140(constB115))) | (~v139(constB115)) | (~v140(constB115))),
% 9.39/6.95 inference(tautology,[status(thm)],[])).
% 9.39/6.95 tff(27019,plain,
% 9.39/6.95 (~v139(constB115)),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[27018, 27017, 26959])).
% 9.39/6.95 tff(27020,plain,
% 9.39/6.95 (((~v132(constB115)) | (~v139(constB115))) | v139(constB115)),
% 9.39/6.95 inference(tautology,[status(thm)],[])).
% 9.39/6.95 tff(27021,plain,
% 9.39/6.95 ((~v132(constB115)) | (~v139(constB115))),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[27020, 27019])).
% 9.39/6.95 tff(27022,plain,
% 9.39/6.95 ((~(v138(constB115) <=> (~((~v132(constB115)) | (~v139(constB115)))))) | (~v138(constB115)) | (~((~v132(constB115)) | (~v139(constB115))))),
% 9.39/6.95 inference(tautology,[status(thm)],[])).
% 9.39/6.95 tff(27023,plain,
% 9.39/6.95 (~v138(constB115)),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[27022, 27021, 26957])).
% 9.39/6.95 tff(27024,plain,
% 9.39/6.95 ((~![VarCurr: $i] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB115) <=> (~((~v143(constB115)) | (~v144(constB115)))))),
% 9.39/6.95 inference(quant_inst,[status(thm)],[])).
% 9.39/6.95 tff(27025,plain,
% 9.39/6.95 (v142(constB115) <=> (~((~v143(constB115)) | (~v144(constB115))))),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[27024, 596])).
% 9.39/6.95 tff(27026,plain,
% 9.39/6.95 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB115) <=> (~((~v141(constB115)) | (~v145(constB115)))))),
% 9.39/6.95 inference(quant_inst,[status(thm)],[])).
% 9.39/6.95 tff(27027,plain,
% 9.39/6.95 (v144(constB115) <=> (~((~v141(constB115)) | (~v145(constB115))))),
% 9.39/6.95 inference(unit_resolution,[status(thm)],[27026, 608])).
% 9.39/6.95 tff(27028,plain,
% 9.39/6.95 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB115) <=> (~(v84(constB115, bitIndex2) | v84(constB115, bitIndex1) | (~v84(constB115, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB115) <=> (~(v84(constB115, bitIndex2) | v84(constB115, bitIndex1) | (~v84(constB115, bitIndex0))))))),
% 9.39/6.95 inference(rewrite,[status(thm)],[])).
% 9.39/6.95 tff(27029,plain,
% 9.39/6.95 ((v145(constB115) <=> (~(v84(constB115, bitIndex1) | v84(constB115, bitIndex2) | (~v84(constB115, bitIndex0))))) <=> (v145(constB115) <=> (~(v84(constB115, bitIndex2) | v84(constB115, bitIndex1) | (~v84(constB115, bitIndex0)))))),
% 9.39/6.95 inference(rewrite,[status(thm)],[])).
% 9.39/6.95 tff(27030,plain,
% 9.39/6.95 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB115) <=> (~(v84(constB115, bitIndex1) | v84(constB115, bitIndex2) | (~v84(constB115, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB115) <=> (~(v84(constB115, bitIndex2) | v84(constB115, bitIndex1) | (~v84(constB115, bitIndex0))))))),
% 9.39/6.95 inference(monotonicity,[status(thm)],[27029])).
% 9.39/6.95 tff(27031,plain,
% 9.39/6.95 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB115) <=> (~(v84(constB115, bitIndex1) | v84(constB115, bitIndex2) | (~v84(constB115, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB115) <=> (~(v84(constB115, bitIndex2) | v84(constB115, bitIndex1) | (~v84(constB115, bitIndex0))))))),
% 9.39/6.95 inference(transitivity,[status(thm)],[27030, 27028])).
% 9.39/6.95 tff(27032,plain,
% 9.39/6.95 ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB115) <=> (~(v84(constB115, bitIndex1) | v84(constB115, bitIndex2) | (~v84(constB115, bitIndex0)))))),
% 9.39/6.95 inference(quant_inst,[status(thm)],[])).
% 9.39/6.95 tff(27033,plain,
% 9.39/6.95 ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB115) <=> (~(v84(constB115, bitIndex2) | v84(constB115, bitIndex1) | (~v84(constB115, bitIndex0)))))),
% 9.39/6.95 inference(modus_ponens,[status(thm)],[27032, 27031])).
% 9.39/6.96 tff(27034,plain,
% 9.39/6.96 (v145(constB115) <=> (~(v84(constB115, bitIndex2) | v84(constB115, bitIndex1) | (~v84(constB115, bitIndex0))))),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27033, 755])).
% 9.39/6.96 tff(27035,plain,
% 9.39/6.96 ((v84(constB115, bitIndex2) | v84(constB115, bitIndex1) | (~v84(constB115, bitIndex0))) | (~v84(constB115, bitIndex1))),
% 9.39/6.96 inference(tautology,[status(thm)],[])).
% 9.39/6.96 tff(27036,plain,
% 9.39/6.96 (v84(constB115, bitIndex2) | v84(constB115, bitIndex1) | (~v84(constB115, bitIndex0))),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27035, 19241])).
% 9.39/6.96 tff(27037,plain,
% 9.39/6.96 ((~(v145(constB115) <=> (~(v84(constB115, bitIndex2) | v84(constB115, bitIndex1) | (~v84(constB115, bitIndex0)))))) | (~v145(constB115)) | (~(v84(constB115, bitIndex2) | v84(constB115, bitIndex1) | (~v84(constB115, bitIndex0))))),
% 9.39/6.96 inference(tautology,[status(thm)],[])).
% 9.39/6.96 tff(27038,plain,
% 9.39/6.96 (~v145(constB115)),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27037, 27036, 27034])).
% 9.39/6.96 tff(27039,plain,
% 9.39/6.96 (((~v141(constB115)) | (~v145(constB115))) | v145(constB115)),
% 9.39/6.96 inference(tautology,[status(thm)],[])).
% 9.39/6.96 tff(27040,plain,
% 9.39/6.96 ((~v141(constB115)) | (~v145(constB115))),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27039, 27038])).
% 9.39/6.96 tff(27041,plain,
% 9.39/6.96 ((~(v144(constB115) <=> (~((~v141(constB115)) | (~v145(constB115)))))) | (~v144(constB115)) | (~((~v141(constB115)) | (~v145(constB115))))),
% 9.39/6.96 inference(tautology,[status(thm)],[])).
% 9.39/6.96 tff(27042,plain,
% 9.39/6.96 (~v144(constB115)),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27041, 27040, 27027])).
% 9.39/6.96 tff(27043,plain,
% 9.39/6.96 (((~v143(constB115)) | (~v144(constB115))) | v144(constB115)),
% 9.39/6.96 inference(tautology,[status(thm)],[])).
% 9.39/6.96 tff(27044,plain,
% 9.39/6.96 ((~v143(constB115)) | (~v144(constB115))),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27043, 27042])).
% 9.39/6.96 tff(27045,plain,
% 9.39/6.96 ((~(v142(constB115) <=> (~((~v143(constB115)) | (~v144(constB115)))))) | (~v142(constB115)) | (~((~v143(constB115)) | (~v144(constB115))))),
% 9.39/6.96 inference(tautology,[status(thm)],[])).
% 9.39/6.96 tff(27046,plain,
% 9.39/6.96 (~v142(constB115)),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27045, 27044, 27025])).
% 9.39/6.96 tff(27047,plain,
% 9.39/6.96 ((~(v138(constB115) | v142(constB115))) | v138(constB115) | v142(constB115)),
% 9.39/6.96 inference(tautology,[status(thm)],[])).
% 9.39/6.96 tff(27048,plain,
% 9.39/6.96 (~(v138(constB115) | v142(constB115))),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27047, 27046, 27023])).
% 9.39/6.96 tff(27049,plain,
% 9.39/6.96 ((~(v135(constB115) <=> (v138(constB115) | v142(constB115)))) | (~v135(constB115)) | (v138(constB115) | v142(constB115))),
% 9.39/6.96 inference(tautology,[status(thm)],[])).
% 9.39/6.96 tff(27050,plain,
% 9.39/6.96 (~v135(constB115)),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27049, 27048, 26950])).
% 9.39/6.96 tff(27051,plain,
% 9.39/6.96 ((~(v137(constB116) <=> v135(constB115))) | (~v137(constB116)) | v135(constB115)),
% 9.39/6.96 inference(tautology,[status(thm)],[])).
% 9.39/6.96 tff(27052,plain,
% 9.39/6.96 (~v137(constB116)),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27051, 27050, 26948])).
% 9.39/6.96 tff(27053,plain,
% 9.39/6.96 ((~(v132(constB116) <=> v137(constB116))) | (~v132(constB116)) | v137(constB116)),
% 9.39/6.96 inference(tautology,[status(thm)],[])).
% 9.39/6.96 tff(27054,plain,
% 9.39/6.96 (~v132(constB116)),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27053, 27052, 26944])).
% 9.39/6.96 tff(27055,plain,
% 9.39/6.96 (((~v132(constB116)) | (~v139(constB116))) | v132(constB116)),
% 9.39/6.96 inference(tautology,[status(thm)],[])).
% 9.39/6.96 tff(27056,plain,
% 9.39/6.96 ((~v132(constB116)) | (~v139(constB116))),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27055, 27054])).
% 9.39/6.96 tff(27057,plain,
% 9.39/6.96 ((~(v138(constB116) <=> (~((~v132(constB116)) | (~v139(constB116)))))) | (~v138(constB116)) | (~((~v132(constB116)) | (~v139(constB116))))),
% 9.39/6.96 inference(tautology,[status(thm)],[])).
% 9.39/6.96 tff(27058,plain,
% 9.39/6.96 (~v138(constB116)),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27057, 27056, 26942])).
% 9.39/6.96 tff(27059,plain,
% 9.39/6.96 ((~(v138(constB116) | v142(constB116))) | v138(constB116) | v142(constB116)),
% 9.39/6.96 inference(tautology,[status(thm)],[])).
% 9.39/6.96 tff(27060,plain,
% 9.39/6.96 (~(v138(constB116) | v142(constB116))),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27059, 27058, 26935])).
% 9.39/6.96 tff(27061,plain,
% 9.39/6.96 ((~(v135(constB116) <=> (v138(constB116) | v142(constB116)))) | (~v135(constB116)) | (v138(constB116) | v142(constB116))),
% 9.39/6.96 inference(tautology,[status(thm)],[])).
% 9.39/6.96 tff(27062,plain,
% 9.39/6.96 (~v135(constB116)),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27061, 27060, 26910])).
% 9.39/6.96 tff(27063,plain,
% 9.39/6.96 ((~(v137(constB117) <=> v135(constB116))) | (~v137(constB117)) | v135(constB116)),
% 9.39/6.96 inference(tautology,[status(thm)],[])).
% 9.39/6.96 tff(27064,plain,
% 9.39/6.96 (~v137(constB117)),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27063, 27062, 26908])).
% 9.39/6.96 tff(27065,plain,
% 9.39/6.96 ((~(v132(constB117) <=> v137(constB117))) | (~v132(constB117)) | v137(constB117)),
% 9.39/6.96 inference(tautology,[status(thm)],[])).
% 9.39/6.96 tff(27066,plain,
% 9.39/6.96 (~v132(constB117)),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27065, 27064, 26904])).
% 9.39/6.96 tff(27067,plain,
% 9.39/6.96 (((~v132(constB117)) | (~v154(constB117))) | v132(constB117)),
% 9.39/6.96 inference(tautology,[status(thm)],[])).
% 9.39/6.96 tff(27068,plain,
% 9.39/6.96 ((~v132(constB117)) | (~v154(constB117))),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27067, 27066])).
% 9.39/6.96 tff(27069,plain,
% 9.39/6.96 ((~(v153(constB117) <=> (~((~v132(constB117)) | (~v154(constB117)))))) | (~v153(constB117)) | (~((~v132(constB117)) | (~v154(constB117))))),
% 9.39/6.96 inference(tautology,[status(thm)],[])).
% 9.39/6.96 tff(27070,plain,
% 9.39/6.96 (~v153(constB117)),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27069, 27068, 26902])).
% 9.39/6.96 tff(27071,plain,
% 9.39/6.96 ((~(v153(constB117) | v155(constB117))) | v153(constB117) | v155(constB117)),
% 9.39/6.96 inference(tautology,[status(thm)],[])).
% 9.39/6.96 tff(27072,plain,
% 9.39/6.96 (~(v153(constB117) | v155(constB117))),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27071, 27070, 26895])).
% 9.39/6.96 tff(27073,plain,
% 9.39/6.96 ((~(v150(constB117) <=> (v153(constB117) | v155(constB117)))) | (~v150(constB117)) | (v153(constB117) | v155(constB117))),
% 9.39/6.96 inference(tautology,[status(thm)],[])).
% 9.39/6.96 tff(27074,plain,
% 9.39/6.96 (~v150(constB117)),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27073, 27072, 26822])).
% 9.39/6.96 tff(27075,plain,
% 9.39/6.96 ((~(v152(constB118) <=> v150(constB117))) | (~v152(constB118)) | v150(constB117)),
% 9.39/6.96 inference(tautology,[status(thm)],[])).
% 9.39/6.96 tff(27076,plain,
% 9.39/6.96 (~v152(constB118)),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27075, 27074, 26820])).
% 9.39/6.96 tff(27077,plain,
% 9.39/6.96 ((~(v130(constB118) <=> v152(constB118))) | (~v130(constB118)) | v152(constB118)),
% 9.39/6.96 inference(tautology,[status(thm)],[])).
% 9.39/6.96 tff(27078,plain,
% 9.39/6.96 (~v130(constB118)),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27077, 27076, 26816])).
% 9.39/6.96 tff(27079,plain,
% 9.39/6.96 (((~v130(constB118)) | (~v139(constB118))) | v130(constB118)),
% 9.39/6.96 inference(tautology,[status(thm)],[])).
% 9.39/6.96 tff(27080,plain,
% 9.39/6.96 ((~v130(constB118)) | (~v139(constB118))),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27079, 27078])).
% 9.39/6.96 tff(27081,plain,
% 9.39/6.96 ((~(v155(constB118) <=> (~((~v130(constB118)) | (~v139(constB118)))))) | (~v155(constB118)) | (~((~v130(constB118)) | (~v139(constB118))))),
% 9.39/6.96 inference(tautology,[status(thm)],[])).
% 9.39/6.96 tff(27082,plain,
% 9.39/6.96 (~v155(constB118)),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27081, 27080, 26814])).
% 9.39/6.96 tff(27083,plain,
% 9.39/6.96 ((~(v153(constB118) | v155(constB118))) | v153(constB118) | v155(constB118)),
% 9.39/6.96 inference(tautology,[status(thm)],[])).
% 9.39/6.96 tff(27084,plain,
% 9.39/6.96 (~(v153(constB118) | v155(constB118))),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27083, 27082, 26807])).
% 9.39/6.96 tff(27085,plain,
% 9.39/6.96 ((~(v150(constB118) <=> (v153(constB118) | v155(constB118)))) | (~v150(constB118)) | (v153(constB118) | v155(constB118))),
% 9.39/6.96 inference(tautology,[status(thm)],[])).
% 9.39/6.96 tff(27086,plain,
% 9.39/6.96 (~v150(constB118)),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27085, 27084, 26772])).
% 9.39/6.96 tff(27087,plain,
% 9.39/6.96 ((~(v152(constB119) <=> v150(constB118))) | (~v152(constB119)) | v150(constB118)),
% 9.39/6.96 inference(tautology,[status(thm)],[])).
% 9.39/6.96 tff(27088,plain,
% 9.39/6.96 (~v152(constB119)),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27087, 27086, 26770])).
% 9.39/6.96 tff(27089,plain,
% 9.39/6.96 ((~(v130(constB119) <=> v152(constB119))) | (~v130(constB119)) | v152(constB119)),
% 9.39/6.96 inference(tautology,[status(thm)],[])).
% 9.39/6.96 tff(27090,plain,
% 9.39/6.96 (~v130(constB119)),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27089, 27088, 26766])).
% 9.39/6.96 tff(27091,plain,
% 9.39/6.96 (((~v130(constB119)) | (~v154(constB119))) | v130(constB119)),
% 9.39/6.96 inference(tautology,[status(thm)],[])).
% 9.39/6.96 tff(27092,plain,
% 9.39/6.96 ((~v130(constB119)) | (~v154(constB119))),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27091, 27090])).
% 9.39/6.96 tff(27093,plain,
% 9.39/6.96 ((~(v164(constB119) <=> (~((~v130(constB119)) | (~v154(constB119)))))) | (~v164(constB119)) | (~((~v130(constB119)) | (~v154(constB119))))),
% 9.39/6.96 inference(tautology,[status(thm)],[])).
% 9.39/6.96 tff(27094,plain,
% 9.39/6.96 (~v164(constB119)),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27093, 27092, 26764])).
% 9.39/6.96 tff(27095,plain,
% 9.39/6.96 ((~(v163(constB119) | v164(constB119))) | v163(constB119) | v164(constB119)),
% 9.39/6.96 inference(tautology,[status(thm)],[])).
% 9.39/6.96 tff(27096,plain,
% 9.39/6.96 (~(v163(constB119) | v164(constB119))),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27095, 27094, 26757])).
% 9.39/6.96 tff(27097,plain,
% 9.39/6.96 ((~(v160(constB119) <=> (v163(constB119) | v164(constB119)))) | (~v160(constB119)) | (v163(constB119) | v164(constB119))),
% 9.39/6.96 inference(tautology,[status(thm)],[])).
% 9.39/6.96 tff(27098,plain,
% 9.39/6.96 (~v160(constB119)),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27097, 27096, 26684])).
% 9.39/6.96 tff(27099,plain,
% 9.39/6.96 ((~(v162(constB120) <=> v160(constB119))) | (~v162(constB120)) | v160(constB119)),
% 9.39/6.96 inference(tautology,[status(thm)],[])).
% 9.39/6.96 tff(27100,plain,
% 9.39/6.96 (~v162(constB120)),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27099, 27098, 26682])).
% 9.39/6.96 tff(27101,plain,
% 9.39/6.96 ((~(v128(constB120) <=> v162(constB120))) | (~v128(constB120)) | v162(constB120)),
% 9.39/6.96 inference(tautology,[status(thm)],[])).
% 9.39/6.96 tff(27102,plain,
% 9.39/6.96 (~v128(constB120)),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27101, 27100, 26678])).
% 9.39/6.96 tff(27103,plain,
% 9.39/6.96 (((~v128(constB120)) | (~v139(constB120))) | v128(constB120)),
% 9.39/6.96 inference(tautology,[status(thm)],[])).
% 9.39/6.96 tff(27104,plain,
% 9.39/6.96 ((~v128(constB120)) | (~v139(constB120))),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27103, 27102])).
% 9.39/6.96 tff(27105,plain,
% 9.39/6.96 ((~(v163(constB120) <=> (~((~v128(constB120)) | (~v139(constB120)))))) | (~v163(constB120)) | (~((~v128(constB120)) | (~v139(constB120))))),
% 9.39/6.96 inference(tautology,[status(thm)],[])).
% 9.39/6.96 tff(27106,plain,
% 9.39/6.96 (~v163(constB120)),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27105, 27104, 26676])).
% 9.39/6.96 tff(27107,plain,
% 9.39/6.96 ((~(v163(constB120) | v164(constB120))) | v163(constB120) | v164(constB120)),
% 9.39/6.96 inference(tautology,[status(thm)],[])).
% 9.39/6.96 tff(27108,plain,
% 9.39/6.96 (~(v163(constB120) | v164(constB120))),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27107, 27106, 26669])).
% 9.39/6.96 tff(27109,plain,
% 9.39/6.96 ((~(v160(constB120) <=> (v163(constB120) | v164(constB120)))) | (~v160(constB120)) | (v163(constB120) | v164(constB120))),
% 9.39/6.96 inference(tautology,[status(thm)],[])).
% 9.39/6.96 tff(27110,plain,
% 9.39/6.96 (~v160(constB120)),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27109, 27108, 26634])).
% 9.39/6.96 tff(27111,plain,
% 9.39/6.96 ((~(v162(constB121) <=> v160(constB120))) | (~v162(constB121)) | v160(constB120)),
% 9.39/6.96 inference(tautology,[status(thm)],[])).
% 9.39/6.96 tff(27112,plain,
% 9.39/6.96 (~v162(constB121)),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27111, 27110, 26632])).
% 9.39/6.96 tff(27113,plain,
% 9.39/6.96 ($false),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27112, 26628])).
% 9.39/6.96 tff(27114,plain,(~(constB121 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.39/6.96 tff(27115,assumption,(constB55 = VarCurr!0), introduced(assumption)).
% 9.39/6.96 tff(27116,plain,
% 9.39/6.96 (v162(constB55) <=> v162(VarCurr!0)),
% 9.39/6.96 inference(monotonicity,[status(thm)],[27115])).
% 9.39/6.96 tff(27117,plain,
% 9.39/6.96 (v162(VarCurr!0) <=> v162(constB55)),
% 9.39/6.96 inference(symmetry,[status(thm)],[27116])).
% 9.39/6.96 tff(27118,plain,
% 9.39/6.96 (v162(constB55)),
% 9.39/6.96 inference(modus_ponens,[status(thm)],[59, 27117])).
% 9.39/6.96 tff(27119,plain,
% 9.39/6.96 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB54, constB55)) | (v162(constB55) <=> v160(constB54)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB54, constB55)) | (v162(constB55) <=> v160(constB54)))),
% 9.39/6.96 inference(rewrite,[status(thm)],[])).
% 9.39/6.96 tff(27120,plain,
% 9.39/6.96 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB54, constB55)) | (v162(constB55) <=> v160(constB54)))),
% 9.39/6.96 inference(quant_inst,[status(thm)],[])).
% 9.39/6.96 tff(27121,plain,
% 9.39/6.96 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB54, constB55)) | (v162(constB55) <=> v160(constB54))),
% 9.39/6.96 inference(modus_ponens,[status(thm)],[27120, 27119])).
% 9.39/6.96 tff(27122,plain,
% 9.39/6.96 (v162(constB55) <=> v160(constB54)),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27121, 7259, 70])).
% 9.39/6.96 tff(27123,plain,
% 9.39/6.96 ((~![VarCurr: $i] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB54) <=> (v163(constB54) | v164(constB54)))),
% 9.39/6.96 inference(quant_inst,[status(thm)],[])).
% 9.39/6.96 tff(27124,plain,
% 9.39/6.96 (v160(constB54) <=> (v163(constB54) | v164(constB54))),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27123, 84])).
% 9.39/6.96 tff(27125,plain,
% 9.39/6.96 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB54) <=> (~((~v130(constB54)) | (~v154(constB54)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB54) <=> (~((~v130(constB54)) | (~v154(constB54))))))),
% 9.39/6.96 inference(rewrite,[status(thm)],[])).
% 9.39/6.96 tff(27126,plain,
% 9.39/6.96 ((v164(constB54) <=> (~((~v154(constB54)) | (~v130(constB54))))) <=> (v164(constB54) <=> (~((~v130(constB54)) | (~v154(constB54)))))),
% 9.39/6.96 inference(rewrite,[status(thm)],[])).
% 9.39/6.96 tff(27127,plain,
% 9.39/6.96 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB54) <=> (~((~v154(constB54)) | (~v130(constB54)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB54) <=> (~((~v130(constB54)) | (~v154(constB54))))))),
% 9.39/6.96 inference(monotonicity,[status(thm)],[27126])).
% 9.39/6.96 tff(27128,plain,
% 9.39/6.96 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB54) <=> (~((~v154(constB54)) | (~v130(constB54)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB54) <=> (~((~v130(constB54)) | (~v154(constB54))))))),
% 9.39/6.96 inference(transitivity,[status(thm)],[27127, 27125])).
% 9.39/6.96 tff(27129,plain,
% 9.39/6.96 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB54) <=> (~((~v154(constB54)) | (~v130(constB54)))))),
% 9.39/6.96 inference(quant_inst,[status(thm)],[])).
% 9.39/6.96 tff(27130,plain,
% 9.39/6.96 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB54) <=> (~((~v130(constB54)) | (~v154(constB54)))))),
% 9.39/6.96 inference(modus_ponens,[status(thm)],[27129, 27128])).
% 9.39/6.96 tff(27131,plain,
% 9.39/6.96 (v164(constB54) <=> (~((~v130(constB54)) | (~v154(constB54))))),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27130, 96])).
% 9.39/6.96 tff(27132,plain,
% 9.39/6.96 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB54) <=> (~((~v141(constB54)) | (~v143(constB54)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB54) <=> (~((~v141(constB54)) | (~v143(constB54))))))),
% 9.39/6.96 inference(rewrite,[status(thm)],[])).
% 9.39/6.96 tff(27133,plain,
% 9.39/6.96 ((v154(constB54) <=> (~((~v143(constB54)) | (~v141(constB54))))) <=> (v154(constB54) <=> (~((~v141(constB54)) | (~v143(constB54)))))),
% 9.39/6.96 inference(rewrite,[status(thm)],[])).
% 9.39/6.96 tff(27134,plain,
% 9.39/6.96 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB54) <=> (~((~v143(constB54)) | (~v141(constB54)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB54) <=> (~((~v141(constB54)) | (~v143(constB54))))))),
% 9.39/6.96 inference(monotonicity,[status(thm)],[27133])).
% 9.39/6.96 tff(27135,plain,
% 9.39/6.96 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB54) <=> (~((~v143(constB54)) | (~v141(constB54)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB54) <=> (~((~v141(constB54)) | (~v143(constB54))))))),
% 9.39/6.96 inference(transitivity,[status(thm)],[27134, 27132])).
% 9.39/6.96 tff(27136,plain,
% 9.39/6.96 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB54) <=> (~((~v143(constB54)) | (~v141(constB54)))))),
% 9.39/6.96 inference(quant_inst,[status(thm)],[])).
% 9.39/6.96 tff(27137,plain,
% 9.39/6.96 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB54) <=> (~((~v141(constB54)) | (~v143(constB54)))))),
% 9.39/6.96 inference(modus_ponens,[status(thm)],[27136, 27135])).
% 9.39/6.96 tff(27138,plain,
% 9.39/6.96 (v154(constB54) <=> (~((~v141(constB54)) | (~v143(constB54))))),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27137, 113])).
% 9.39/6.96 tff(27139,plain,
% 9.39/6.96 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB54) <=> (~((~v39(constB54)) | (~v9(constB54)))))),
% 9.39/6.96 inference(quant_inst,[status(thm)],[])).
% 9.39/6.96 tff(27140,plain,
% 9.39/6.96 (v141(constB54) <=> (~((~v39(constB54)) | (~v9(constB54))))),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27139, 130])).
% 9.39/6.96 tff(27141,plain,
% 9.39/6.96 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB54)) <=> v1(constB54))),
% 9.39/6.96 inference(quant_inst,[status(thm)],[])).
% 9.39/6.96 tff(27142,plain,
% 9.39/6.96 ((~v39(constB54)) <=> v1(constB54)),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27141, 139])).
% 9.39/6.96 tff(27143,plain,
% 9.39/6.96 ((~((~v39(constB54)) <=> v1(constB54))) | (~v39(constB54)) | (~v1(constB54))),
% 9.39/6.96 inference(tautology,[status(thm)],[])).
% 9.39/6.96 tff(27144,plain,
% 9.39/6.96 ((~((~v39(constB54)) <=> v1(constB54))) | (~v39(constB54))),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27143, 7321])).
% 9.39/6.96 tff(27145,plain,
% 9.39/6.96 (~v39(constB54)),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27144, 27142])).
% 9.39/6.96 tff(27146,plain,
% 9.39/6.96 (((~v39(constB54)) | (~v9(constB54))) | v39(constB54)),
% 9.39/6.96 inference(tautology,[status(thm)],[])).
% 9.39/6.96 tff(27147,plain,
% 9.39/6.96 ((~v39(constB54)) | (~v9(constB54))),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27146, 27145])).
% 9.39/6.96 tff(27148,plain,
% 9.39/6.96 ((~(v141(constB54) <=> (~((~v39(constB54)) | (~v9(constB54)))))) | (~v141(constB54)) | (~((~v39(constB54)) | (~v9(constB54))))),
% 9.39/6.96 inference(tautology,[status(thm)],[])).
% 9.39/6.96 tff(27149,plain,
% 9.39/6.96 ((~(v141(constB54) <=> (~((~v39(constB54)) | (~v9(constB54)))))) | (~v141(constB54))),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27148, 27147])).
% 9.39/6.96 tff(27150,plain,
% 9.39/6.96 (~v141(constB54)),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27149, 27140])).
% 9.39/6.96 tff(27151,plain,
% 9.39/6.96 (((~v141(constB54)) | (~v143(constB54))) | v141(constB54)),
% 9.39/6.96 inference(tautology,[status(thm)],[])).
% 9.39/6.96 tff(27152,plain,
% 9.39/6.96 ((~v141(constB54)) | (~v143(constB54))),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27151, 27150])).
% 9.39/6.96 tff(27153,plain,
% 9.39/6.96 ((~(v154(constB54) <=> (~((~v141(constB54)) | (~v143(constB54)))))) | (~v154(constB54)) | (~((~v141(constB54)) | (~v143(constB54))))),
% 9.39/6.96 inference(tautology,[status(thm)],[])).
% 9.39/6.96 tff(27154,plain,
% 9.39/6.96 ((~(v154(constB54) <=> (~((~v141(constB54)) | (~v143(constB54)))))) | (~v154(constB54))),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27153, 27152])).
% 9.39/6.96 tff(27155,plain,
% 9.39/6.96 (~v154(constB54)),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27154, 27138])).
% 9.39/6.96 tff(27156,plain,
% 9.39/6.96 (((~v130(constB54)) | (~v154(constB54))) | v154(constB54)),
% 9.39/6.96 inference(tautology,[status(thm)],[])).
% 9.39/6.96 tff(27157,plain,
% 9.39/6.96 ((~v130(constB54)) | (~v154(constB54))),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27156, 27155])).
% 9.39/6.96 tff(27158,plain,
% 9.39/6.96 ((~(v164(constB54) <=> (~((~v130(constB54)) | (~v154(constB54)))))) | (~v164(constB54)) | (~((~v130(constB54)) | (~v154(constB54))))),
% 9.39/6.96 inference(tautology,[status(thm)],[])).
% 9.39/6.96 tff(27159,plain,
% 9.39/6.96 (~v164(constB54)),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27158, 27157, 27131])).
% 9.39/6.96 tff(27160,plain,
% 9.39/6.96 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB54) <=> (~((~v128(constB54)) | (~v139(constB54)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB54) <=> (~((~v128(constB54)) | (~v139(constB54))))))),
% 9.39/6.96 inference(rewrite,[status(thm)],[])).
% 9.39/6.96 tff(27161,plain,
% 9.39/6.96 ((v163(constB54) <=> (~((~v139(constB54)) | (~v128(constB54))))) <=> (v163(constB54) <=> (~((~v128(constB54)) | (~v139(constB54)))))),
% 9.39/6.96 inference(rewrite,[status(thm)],[])).
% 9.39/6.96 tff(27162,plain,
% 9.39/6.96 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB54) <=> (~((~v139(constB54)) | (~v128(constB54)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB54) <=> (~((~v128(constB54)) | (~v139(constB54))))))),
% 9.39/6.96 inference(monotonicity,[status(thm)],[27161])).
% 9.39/6.96 tff(27163,plain,
% 9.39/6.96 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB54) <=> (~((~v139(constB54)) | (~v128(constB54)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB54) <=> (~((~v128(constB54)) | (~v139(constB54))))))),
% 9.39/6.96 inference(transitivity,[status(thm)],[27162, 27160])).
% 9.39/6.96 tff(27164,plain,
% 9.39/6.96 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB54) <=> (~((~v139(constB54)) | (~v128(constB54)))))),
% 9.39/6.96 inference(quant_inst,[status(thm)],[])).
% 9.39/6.96 tff(27165,plain,
% 9.39/6.96 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB54) <=> (~((~v128(constB54)) | (~v139(constB54)))))),
% 9.39/6.96 inference(modus_ponens,[status(thm)],[27164, 27163])).
% 9.39/6.96 tff(27166,plain,
% 9.39/6.96 (v163(constB54) <=> (~((~v128(constB54)) | (~v139(constB54))))),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27165, 171])).
% 9.39/6.96 tff(27167,plain,
% 9.39/6.96 ((~![VarNext: $i] : (v128(VarNext) <=> v162(VarNext))) | (v128(constB54) <=> v162(constB54))),
% 9.39/6.96 inference(quant_inst,[status(thm)],[])).
% 9.39/6.96 tff(27168,plain,
% 9.39/6.96 (v128(constB54) <=> v162(constB54)),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27167, 13])).
% 9.39/6.96 tff(27169,plain,
% 9.39/6.96 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB53, constB54)) | (v162(constB54) <=> v160(constB53)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB53, constB54)) | (v162(constB54) <=> v160(constB53)))),
% 9.39/6.96 inference(rewrite,[status(thm)],[])).
% 9.39/6.96 tff(27170,plain,
% 9.39/6.96 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB53, constB54)) | (v162(constB54) <=> v160(constB53)))),
% 9.39/6.96 inference(quant_inst,[status(thm)],[])).
% 9.39/6.96 tff(27171,plain,
% 9.39/6.96 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB53, constB54)) | (v162(constB54) <=> v160(constB53))),
% 9.39/6.96 inference(modus_ponens,[status(thm)],[27170, 27169])).
% 9.39/6.96 tff(27172,plain,
% 9.39/6.96 (v162(constB54) <=> v160(constB53)),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27171, 7291, 70])).
% 9.39/6.96 tff(27173,plain,
% 9.39/6.96 ((~![VarCurr: $i] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB53) <=> (v163(constB53) | v164(constB53)))),
% 9.39/6.96 inference(quant_inst,[status(thm)],[])).
% 9.39/6.96 tff(27174,plain,
% 9.39/6.96 (v160(constB53) <=> (v163(constB53) | v164(constB53))),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27173, 84])).
% 9.39/6.96 tff(27175,plain,
% 9.39/6.96 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB53) <=> (~((~v128(constB53)) | (~v139(constB53)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB53) <=> (~((~v128(constB53)) | (~v139(constB53))))))),
% 9.39/6.96 inference(rewrite,[status(thm)],[])).
% 9.39/6.96 tff(27176,plain,
% 9.39/6.96 ((v163(constB53) <=> (~((~v139(constB53)) | (~v128(constB53))))) <=> (v163(constB53) <=> (~((~v128(constB53)) | (~v139(constB53)))))),
% 9.39/6.96 inference(rewrite,[status(thm)],[])).
% 9.39/6.96 tff(27177,plain,
% 9.39/6.96 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB53) <=> (~((~v139(constB53)) | (~v128(constB53)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB53) <=> (~((~v128(constB53)) | (~v139(constB53))))))),
% 9.39/6.96 inference(monotonicity,[status(thm)],[27176])).
% 9.39/6.96 tff(27178,plain,
% 9.39/6.96 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB53) <=> (~((~v139(constB53)) | (~v128(constB53)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB53) <=> (~((~v128(constB53)) | (~v139(constB53))))))),
% 9.39/6.96 inference(transitivity,[status(thm)],[27177, 27175])).
% 9.39/6.96 tff(27179,plain,
% 9.39/6.96 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB53) <=> (~((~v139(constB53)) | (~v128(constB53)))))),
% 9.39/6.96 inference(quant_inst,[status(thm)],[])).
% 9.39/6.96 tff(27180,plain,
% 9.39/6.96 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB53) <=> (~((~v128(constB53)) | (~v139(constB53)))))),
% 9.39/6.96 inference(modus_ponens,[status(thm)],[27179, 27178])).
% 9.39/6.96 tff(27181,plain,
% 9.39/6.96 (v163(constB53) <=> (~((~v128(constB53)) | (~v139(constB53))))),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27180, 171])).
% 9.39/6.96 tff(27182,plain,
% 9.39/6.96 ((~![VarCurr: $i] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB53)) <=> v140(constB53))),
% 9.39/6.96 inference(quant_inst,[status(thm)],[])).
% 9.39/6.96 tff(27183,plain,
% 9.39/6.96 ((~v139(constB53)) <=> v140(constB53)),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27182, 203])).
% 9.39/6.96 tff(27184,plain,
% 9.39/6.96 ((~![VarCurr: $i] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB53) <=> (v141(constB53) | v26(constB53)))),
% 9.39/6.96 inference(quant_inst,[status(thm)],[])).
% 9.39/6.96 tff(27185,plain,
% 9.39/6.96 (v140(constB53) <=> (v141(constB53) | v26(constB53))),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27184, 212])).
% 9.39/6.96 tff(27186,plain,
% 9.39/6.96 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB53) <=> (~((~v39(constB53)) | (~v9(constB53)))))),
% 9.39/6.96 inference(quant_inst,[status(thm)],[])).
% 9.39/6.96 tff(27187,plain,
% 9.39/6.96 (v141(constB53) <=> (~((~v39(constB53)) | (~v9(constB53))))),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27186, 130])).
% 9.39/6.96 tff(27188,plain,
% 9.39/6.96 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB53, constB54)) | (v13(constB54) <=> v9(constB53)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB53, constB54)) | (v13(constB54) <=> v9(constB53)))),
% 9.39/6.96 inference(rewrite,[status(thm)],[])).
% 9.39/6.96 tff(27189,plain,
% 9.39/6.96 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB53, constB54)) | (v13(constB54) <=> v9(constB53)))),
% 9.39/6.96 inference(quant_inst,[status(thm)],[])).
% 9.39/6.96 tff(27190,plain,
% 9.39/6.96 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB53, constB54)) | (v13(constB54) <=> v9(constB53))),
% 9.39/6.96 inference(modus_ponens,[status(thm)],[27189, 27188])).
% 9.39/6.96 tff(27191,plain,
% 9.39/6.96 (v13(constB54) <=> v9(constB53)),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27190, 7291, 226])).
% 9.39/6.96 tff(27192,plain,
% 9.39/6.96 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB54) <=> v13(constB54))),
% 9.39/6.96 inference(quant_inst,[status(thm)],[])).
% 9.39/6.96 tff(27193,plain,
% 9.39/6.96 (v6(constB54) <=> v13(constB54)),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27192, 240])).
% 9.39/6.96 tff(27194,plain,
% 9.39/6.96 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB54)) <=> v6(constB54))),
% 9.39/6.96 inference(quant_inst,[status(thm)],[])).
% 9.39/6.96 tff(27195,plain,
% 9.39/6.96 ((~v21(constB54)) <=> v6(constB54)),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27194, 249])).
% 9.39/6.96 tff(27196,plain,
% 9.39/6.96 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB54) <=> (v20(constB54) | v21(constB54)))),
% 9.39/6.96 inference(quant_inst,[status(thm)],[])).
% 9.39/6.96 tff(27197,plain,
% 9.39/6.96 (v19(constB54) <=> (v20(constB54) | v21(constB54))),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27196, 258])).
% 9.39/6.96 tff(27198,plain,
% 9.39/6.96 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB54) <=> (~((~v19(constB54)) | (~v22(constB54)))))),
% 9.39/6.96 inference(quant_inst,[status(thm)],[])).
% 9.39/6.96 tff(27199,plain,
% 9.39/6.96 (v18(constB54) <=> (~((~v19(constB54)) | (~v22(constB54))))),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27198, 270])).
% 9.39/6.96 tff(27200,plain,
% 9.39/6.96 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB54)) <=> v18(constB54))),
% 9.39/6.96 inference(quant_inst,[status(thm)],[])).
% 9.39/6.96 tff(27201,plain,
% 9.39/6.96 ((~v4(constB54)) <=> v18(constB54)),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27200, 279])).
% 9.39/6.96 tff(27202,plain,
% 9.39/6.96 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB54)),
% 9.39/6.96 inference(quant_inst,[status(thm)],[])).
% 9.39/6.96 tff(27203,plain,
% 9.39/6.96 (v4(constB54)),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27202, 288])).
% 9.39/6.96 tff(27204,plain,
% 9.39/6.96 ((~((~v4(constB54)) <=> v18(constB54))) | (~v4(constB54)) | (~v18(constB54))),
% 9.39/6.96 inference(tautology,[status(thm)],[])).
% 9.39/6.96 tff(27205,plain,
% 9.39/6.96 (~v18(constB54)),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27204, 27203, 27201])).
% 9.39/6.96 tff(27206,plain,
% 9.39/6.96 ((~(v18(constB54) <=> (~((~v19(constB54)) | (~v22(constB54)))))) | v18(constB54) | ((~v19(constB54)) | (~v22(constB54)))),
% 9.39/6.96 inference(tautology,[status(thm)],[])).
% 9.39/6.96 tff(27207,plain,
% 9.39/6.96 ((~v19(constB54)) | (~v22(constB54))),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27206, 27205, 27199])).
% 9.39/6.96 tff(27208,plain,
% 9.39/6.96 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB54) <=> (v1(constB54) | v6(constB54)))),
% 9.39/6.96 inference(quant_inst,[status(thm)],[])).
% 9.39/6.96 tff(27209,plain,
% 9.39/6.96 (v22(constB54) <=> (v1(constB54) | v6(constB54))),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27208, 301])).
% 9.39/6.96 tff(27210,plain,
% 9.39/6.96 ((v1(constB54) | v6(constB54)) | (~v1(constB54))),
% 9.39/6.96 inference(tautology,[status(thm)],[])).
% 9.39/6.96 tff(27211,plain,
% 9.39/6.96 (v1(constB54) | v6(constB54)),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27210, 7321])).
% 9.39/6.96 tff(27212,plain,
% 9.39/6.96 ((~(v22(constB54) <=> (v1(constB54) | v6(constB54)))) | v22(constB54) | (~(v1(constB54) | v6(constB54)))),
% 9.39/6.96 inference(tautology,[status(thm)],[])).
% 9.39/6.96 tff(27213,plain,
% 9.39/6.96 ((~(v22(constB54) <=> (v1(constB54) | v6(constB54)))) | v22(constB54)),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27212, 27211])).
% 9.39/6.96 tff(27214,plain,
% 9.39/6.96 (v22(constB54)),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27213, 27209])).
% 9.39/6.96 tff(27215,plain,
% 9.39/6.96 ((~((~v19(constB54)) | (~v22(constB54)))) | (~v19(constB54)) | (~v22(constB54))),
% 9.39/6.96 inference(tautology,[status(thm)],[])).
% 9.39/6.96 tff(27216,plain,
% 9.39/6.96 ((~((~v19(constB54)) | (~v22(constB54)))) | (~v19(constB54))),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27215, 27214])).
% 9.39/6.96 tff(27217,plain,
% 9.39/6.96 (~v19(constB54)),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27216, 27207])).
% 9.39/6.96 tff(27218,plain,
% 9.39/6.96 ((~(v19(constB54) <=> (v20(constB54) | v21(constB54)))) | v19(constB54) | (~(v20(constB54) | v21(constB54)))),
% 9.39/6.96 inference(tautology,[status(thm)],[])).
% 9.39/6.96 tff(27219,plain,
% 9.39/6.96 (~(v20(constB54) | v21(constB54))),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27218, 27217, 27197])).
% 9.39/6.96 tff(27220,plain,
% 9.39/6.96 ((v20(constB54) | v21(constB54)) | (~v21(constB54))),
% 9.39/6.96 inference(tautology,[status(thm)],[])).
% 9.39/6.96 tff(27221,plain,
% 9.39/6.96 (~v21(constB54)),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27220, 27219])).
% 9.39/6.96 tff(27222,plain,
% 9.39/6.96 ((~((~v21(constB54)) <=> v6(constB54))) | v21(constB54) | v6(constB54)),
% 9.39/6.96 inference(tautology,[status(thm)],[])).
% 9.39/6.96 tff(27223,plain,
% 9.39/6.96 (v6(constB54)),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27222, 27221, 27195])).
% 9.39/6.96 tff(27224,plain,
% 9.39/6.96 ((~(v6(constB54) <=> v13(constB54))) | (~v6(constB54)) | v13(constB54)),
% 9.39/6.96 inference(tautology,[status(thm)],[])).
% 9.39/6.96 tff(27225,plain,
% 9.39/6.96 (v13(constB54)),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27224, 27223, 27193])).
% 9.39/6.96 tff(27226,plain,
% 9.39/6.96 ((~(v13(constB54) <=> v9(constB53))) | (~v13(constB54)) | v9(constB53)),
% 9.39/6.96 inference(tautology,[status(thm)],[])).
% 9.39/6.96 tff(27227,plain,
% 9.39/6.96 (v9(constB53)),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27226, 27225, 27191])).
% 9.39/6.96 tff(27228,plain,
% 9.39/6.96 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB53)) <=> v1(constB53))),
% 9.39/6.96 inference(quant_inst,[status(thm)],[])).
% 9.39/6.96 tff(27229,plain,
% 9.39/6.96 ((~v39(constB53)) <=> v1(constB53)),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27228, 139])).
% 9.39/6.96 tff(27230,plain,
% 9.39/6.96 ((~((~v39(constB53)) <=> v1(constB53))) | v39(constB53) | v1(constB53)),
% 9.39/6.96 inference(tautology,[status(thm)],[])).
% 9.39/6.96 tff(27231,plain,
% 9.39/6.96 ((~((~v39(constB53)) <=> v1(constB53))) | v39(constB53)),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27230, 7313])).
% 9.39/6.96 tff(27232,plain,
% 9.39/6.96 (v39(constB53)),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27231, 27229])).
% 9.39/6.96 tff(27233,plain,
% 9.39/6.96 ((~((~v39(constB53)) | (~v9(constB53)))) | (~v39(constB53)) | (~v9(constB53))),
% 9.39/6.96 inference(tautology,[status(thm)],[])).
% 9.39/6.96 tff(27234,plain,
% 9.39/6.96 ((~((~v39(constB53)) | (~v9(constB53)))) | (~v9(constB53))),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27233, 27232])).
% 9.39/6.96 tff(27235,plain,
% 9.39/6.96 (~((~v39(constB53)) | (~v9(constB53)))),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27234, 27227])).
% 9.39/6.96 tff(27236,plain,
% 9.39/6.96 ((~(v141(constB53) <=> (~((~v39(constB53)) | (~v9(constB53)))))) | v141(constB53) | ((~v39(constB53)) | (~v9(constB53)))),
% 9.39/6.96 inference(tautology,[status(thm)],[])).
% 9.39/6.96 tff(27237,plain,
% 9.39/6.96 (v141(constB53)),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27236, 27235, 27187])).
% 9.39/6.96 tff(27238,plain,
% 9.39/6.96 ((v141(constB53) | v26(constB53)) | (~v141(constB53))),
% 9.39/6.96 inference(tautology,[status(thm)],[])).
% 9.39/6.96 tff(27239,plain,
% 9.39/6.96 (v141(constB53) | v26(constB53)),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27238, 27237])).
% 9.39/6.96 tff(27240,plain,
% 9.39/6.96 ((~(v140(constB53) <=> (v141(constB53) | v26(constB53)))) | v140(constB53) | (~(v141(constB53) | v26(constB53)))),
% 9.39/6.96 inference(tautology,[status(thm)],[])).
% 9.39/6.96 tff(27241,plain,
% 9.39/6.96 (v140(constB53)),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27240, 27239, 27185])).
% 9.39/6.96 tff(27242,plain,
% 9.39/6.96 ((~((~v139(constB53)) <=> v140(constB53))) | (~v139(constB53)) | (~v140(constB53))),
% 9.39/6.96 inference(tautology,[status(thm)],[])).
% 9.39/6.96 tff(27243,plain,
% 9.39/6.96 (~v139(constB53)),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27242, 27241, 27183])).
% 9.39/6.96 tff(27244,plain,
% 9.39/6.96 (((~v128(constB53)) | (~v139(constB53))) | v139(constB53)),
% 9.39/6.96 inference(tautology,[status(thm)],[])).
% 9.39/6.96 tff(27245,plain,
% 9.39/6.96 ((~v128(constB53)) | (~v139(constB53))),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27244, 27243])).
% 9.39/6.96 tff(27246,plain,
% 9.39/6.96 ((~(v163(constB53) <=> (~((~v128(constB53)) | (~v139(constB53)))))) | (~v163(constB53)) | (~((~v128(constB53)) | (~v139(constB53))))),
% 9.39/6.96 inference(tautology,[status(thm)],[])).
% 9.39/6.96 tff(27247,plain,
% 9.39/6.96 (~v163(constB53)),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27246, 27245, 27181])).
% 9.39/6.96 tff(27248,plain,
% 9.39/6.96 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB53) <=> (~((~v130(constB53)) | (~v154(constB53)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB53) <=> (~((~v130(constB53)) | (~v154(constB53))))))),
% 9.39/6.96 inference(rewrite,[status(thm)],[])).
% 9.39/6.96 tff(27249,plain,
% 9.39/6.96 ((v164(constB53) <=> (~((~v154(constB53)) | (~v130(constB53))))) <=> (v164(constB53) <=> (~((~v130(constB53)) | (~v154(constB53)))))),
% 9.39/6.96 inference(rewrite,[status(thm)],[])).
% 9.39/6.96 tff(27250,plain,
% 9.39/6.96 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB53) <=> (~((~v154(constB53)) | (~v130(constB53)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB53) <=> (~((~v130(constB53)) | (~v154(constB53))))))),
% 9.39/6.96 inference(monotonicity,[status(thm)],[27249])).
% 9.39/6.96 tff(27251,plain,
% 9.39/6.96 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB53) <=> (~((~v154(constB53)) | (~v130(constB53)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB53) <=> (~((~v130(constB53)) | (~v154(constB53))))))),
% 9.39/6.96 inference(transitivity,[status(thm)],[27250, 27248])).
% 9.39/6.96 tff(27252,plain,
% 9.39/6.96 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB53) <=> (~((~v154(constB53)) | (~v130(constB53)))))),
% 9.39/6.96 inference(quant_inst,[status(thm)],[])).
% 9.39/6.96 tff(27253,plain,
% 9.39/6.96 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB53) <=> (~((~v130(constB53)) | (~v154(constB53)))))),
% 9.39/6.96 inference(modus_ponens,[status(thm)],[27252, 27251])).
% 9.39/6.96 tff(27254,plain,
% 9.39/6.96 (v164(constB53) <=> (~((~v130(constB53)) | (~v154(constB53))))),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27253, 96])).
% 9.39/6.96 tff(27255,plain,
% 9.39/6.96 ((~![VarNext: $i] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB53) <=> v152(constB53))),
% 9.39/6.96 inference(quant_inst,[status(thm)],[])).
% 9.39/6.96 tff(27256,plain,
% 9.39/6.96 (v130(constB53) <=> v152(constB53)),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27255, 361])).
% 9.39/6.96 tff(27257,plain,
% 9.39/6.96 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB52, constB53)) | (v152(constB53) <=> v150(constB52)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB52, constB53)) | (v152(constB53) <=> v150(constB52)))),
% 9.39/6.96 inference(rewrite,[status(thm)],[])).
% 9.39/6.96 tff(27258,plain,
% 9.39/6.96 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB52, constB53)) | (v152(constB53) <=> v150(constB52)))),
% 9.39/6.96 inference(quant_inst,[status(thm)],[])).
% 9.39/6.96 tff(27259,plain,
% 9.39/6.96 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB52, constB53)) | (v152(constB53) <=> v150(constB52))),
% 9.39/6.96 inference(modus_ponens,[status(thm)],[27258, 27257])).
% 9.39/6.96 tff(27260,plain,
% 9.39/6.96 (v152(constB53) <=> v150(constB52)),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27259, 7354, 373])).
% 9.39/6.96 tff(27261,plain,
% 9.39/6.96 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v153(VarCurr) | v155(VarCurr)))) | (v150(constB52) <=> (v153(constB52) | v155(constB52)))),
% 9.39/6.96 inference(quant_inst,[status(thm)],[])).
% 9.39/6.96 tff(27262,plain,
% 9.39/6.96 (v150(constB52) <=> (v153(constB52) | v155(constB52))),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27261, 387])).
% 9.39/6.96 tff(27263,plain,
% 9.39/6.96 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB52) <=> (~((~v132(constB52)) | (~v154(constB52)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB52) <=> (~((~v132(constB52)) | (~v154(constB52))))))),
% 9.39/6.96 inference(rewrite,[status(thm)],[])).
% 9.39/6.96 tff(27264,plain,
% 9.39/6.96 ((v153(constB52) <=> (~((~v154(constB52)) | (~v132(constB52))))) <=> (v153(constB52) <=> (~((~v132(constB52)) | (~v154(constB52)))))),
% 9.39/6.96 inference(rewrite,[status(thm)],[])).
% 9.39/6.96 tff(27265,plain,
% 9.39/6.96 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB52) <=> (~((~v154(constB52)) | (~v132(constB52)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB52) <=> (~((~v132(constB52)) | (~v154(constB52))))))),
% 9.39/6.96 inference(monotonicity,[status(thm)],[27264])).
% 9.39/6.96 tff(27266,plain,
% 9.39/6.96 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB52) <=> (~((~v154(constB52)) | (~v132(constB52)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB52) <=> (~((~v132(constB52)) | (~v154(constB52))))))),
% 9.39/6.96 inference(transitivity,[status(thm)],[27265, 27263])).
% 9.39/6.96 tff(27267,plain,
% 9.39/6.96 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB52) <=> (~((~v154(constB52)) | (~v132(constB52)))))),
% 9.39/6.96 inference(quant_inst,[status(thm)],[])).
% 9.39/6.96 tff(27268,plain,
% 9.39/6.96 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB52) <=> (~((~v132(constB52)) | (~v154(constB52)))))),
% 9.39/6.96 inference(modus_ponens,[status(thm)],[27267, 27266])).
% 9.39/6.96 tff(27269,plain,
% 9.39/6.96 (v153(constB52) <=> (~((~v132(constB52)) | (~v154(constB52))))),
% 9.39/6.96 inference(unit_resolution,[status(thm)],[27268, 399])).
% 9.39/6.96 tff(27270,plain,
% 9.39/6.96 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB52) <=> (~((~v141(constB52)) | (~v143(constB52)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB52) <=> (~((~v141(constB52)) | (~v143(constB52))))))),
% 9.39/6.97 inference(rewrite,[status(thm)],[])).
% 9.39/6.97 tff(27271,plain,
% 9.39/6.97 ((v154(constB52) <=> (~((~v143(constB52)) | (~v141(constB52))))) <=> (v154(constB52) <=> (~((~v141(constB52)) | (~v143(constB52)))))),
% 9.39/6.97 inference(rewrite,[status(thm)],[])).
% 9.39/6.97 tff(27272,plain,
% 9.39/6.97 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB52) <=> (~((~v143(constB52)) | (~v141(constB52)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB52) <=> (~((~v141(constB52)) | (~v143(constB52))))))),
% 9.39/6.97 inference(monotonicity,[status(thm)],[27271])).
% 9.39/6.97 tff(27273,plain,
% 9.39/6.97 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB52) <=> (~((~v143(constB52)) | (~v141(constB52)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB52) <=> (~((~v141(constB52)) | (~v143(constB52))))))),
% 9.39/6.97 inference(transitivity,[status(thm)],[27272, 27270])).
% 9.39/6.97 tff(27274,plain,
% 9.39/6.97 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB52) <=> (~((~v143(constB52)) | (~v141(constB52)))))),
% 9.39/6.97 inference(quant_inst,[status(thm)],[])).
% 9.39/6.97 tff(27275,plain,
% 9.39/6.97 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB52) <=> (~((~v141(constB52)) | (~v143(constB52)))))),
% 9.39/6.97 inference(modus_ponens,[status(thm)],[27274, 27273])).
% 9.39/6.97 tff(27276,plain,
% 9.39/6.97 (v154(constB52) <=> (~((~v141(constB52)) | (~v143(constB52))))),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27275, 113])).
% 9.39/6.97 tff(27277,plain,
% 9.39/6.97 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB52) <=> (~((~v39(constB52)) | (~v9(constB52)))))),
% 9.39/6.97 inference(quant_inst,[status(thm)],[])).
% 9.39/6.97 tff(27278,plain,
% 9.39/6.97 (v141(constB52) <=> (~((~v39(constB52)) | (~v9(constB52))))),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27277, 130])).
% 9.39/6.97 tff(27279,plain,
% 9.39/6.97 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB52)) <=> v1(constB52))),
% 9.39/6.97 inference(quant_inst,[status(thm)],[])).
% 9.39/6.97 tff(27280,plain,
% 9.39/6.97 ((~v39(constB52)) <=> v1(constB52)),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27279, 139])).
% 9.39/6.97 tff(27281,plain,
% 9.39/6.97 ((~((~v39(constB52)) <=> v1(constB52))) | (~v39(constB52)) | (~v1(constB52))),
% 9.39/6.97 inference(tautology,[status(thm)],[])).
% 9.39/6.97 tff(27282,plain,
% 9.39/6.97 ((~((~v39(constB52)) <=> v1(constB52))) | (~v39(constB52))),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27281, 7416])).
% 9.39/6.97 tff(27283,plain,
% 9.39/6.97 (~v39(constB52)),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27282, 27280])).
% 9.39/6.97 tff(27284,plain,
% 9.39/6.97 (((~v39(constB52)) | (~v9(constB52))) | v39(constB52)),
% 9.39/6.97 inference(tautology,[status(thm)],[])).
% 9.39/6.97 tff(27285,plain,
% 9.39/6.97 ((~v39(constB52)) | (~v9(constB52))),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27284, 27283])).
% 9.39/6.97 tff(27286,plain,
% 9.39/6.97 ((~(v141(constB52) <=> (~((~v39(constB52)) | (~v9(constB52)))))) | (~v141(constB52)) | (~((~v39(constB52)) | (~v9(constB52))))),
% 9.39/6.97 inference(tautology,[status(thm)],[])).
% 9.39/6.97 tff(27287,plain,
% 9.39/6.97 ((~(v141(constB52) <=> (~((~v39(constB52)) | (~v9(constB52)))))) | (~v141(constB52))),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27286, 27285])).
% 9.39/6.97 tff(27288,plain,
% 9.39/6.97 (~v141(constB52)),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27287, 27278])).
% 9.39/6.97 tff(27289,plain,
% 9.39/6.97 (((~v141(constB52)) | (~v143(constB52))) | v141(constB52)),
% 9.39/6.97 inference(tautology,[status(thm)],[])).
% 9.39/6.97 tff(27290,plain,
% 9.39/6.97 ((~v141(constB52)) | (~v143(constB52))),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27289, 27288])).
% 9.39/6.97 tff(27291,plain,
% 9.39/6.97 ((~(v154(constB52) <=> (~((~v141(constB52)) | (~v143(constB52)))))) | (~v154(constB52)) | (~((~v141(constB52)) | (~v143(constB52))))),
% 9.39/6.97 inference(tautology,[status(thm)],[])).
% 9.39/6.97 tff(27292,plain,
% 9.39/6.97 ((~(v154(constB52) <=> (~((~v141(constB52)) | (~v143(constB52)))))) | (~v154(constB52))),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27291, 27290])).
% 9.39/6.97 tff(27293,plain,
% 9.39/6.97 (~v154(constB52)),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27292, 27276])).
% 9.39/6.97 tff(27294,plain,
% 9.39/6.97 (((~v132(constB52)) | (~v154(constB52))) | v154(constB52)),
% 9.39/6.97 inference(tautology,[status(thm)],[])).
% 9.39/6.97 tff(27295,plain,
% 9.39/6.97 ((~v132(constB52)) | (~v154(constB52))),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27294, 27293])).
% 9.39/6.97 tff(27296,plain,
% 9.39/6.97 ((~(v153(constB52) <=> (~((~v132(constB52)) | (~v154(constB52)))))) | (~v153(constB52)) | (~((~v132(constB52)) | (~v154(constB52))))),
% 9.39/6.97 inference(tautology,[status(thm)],[])).
% 9.39/6.97 tff(27297,plain,
% 9.39/6.97 (~v153(constB52)),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27296, 27295, 27269])).
% 9.39/6.97 tff(27298,plain,
% 9.39/6.97 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB52) <=> (~((~v130(constB52)) | (~v139(constB52)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB52) <=> (~((~v130(constB52)) | (~v139(constB52))))))),
% 9.39/6.97 inference(rewrite,[status(thm)],[])).
% 9.39/6.97 tff(27299,plain,
% 9.39/6.97 ((v155(constB52) <=> (~((~v139(constB52)) | (~v130(constB52))))) <=> (v155(constB52) <=> (~((~v130(constB52)) | (~v139(constB52)))))),
% 9.39/6.97 inference(rewrite,[status(thm)],[])).
% 9.39/6.97 tff(27300,plain,
% 9.39/6.97 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB52) <=> (~((~v139(constB52)) | (~v130(constB52)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB52) <=> (~((~v130(constB52)) | (~v139(constB52))))))),
% 9.39/6.97 inference(monotonicity,[status(thm)],[27299])).
% 9.39/6.97 tff(27301,plain,
% 9.39/6.97 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB52) <=> (~((~v139(constB52)) | (~v130(constB52)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB52) <=> (~((~v130(constB52)) | (~v139(constB52))))))),
% 9.39/6.97 inference(transitivity,[status(thm)],[27300, 27298])).
% 9.39/6.97 tff(27302,plain,
% 9.39/6.97 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB52) <=> (~((~v139(constB52)) | (~v130(constB52)))))),
% 9.39/6.97 inference(quant_inst,[status(thm)],[])).
% 9.39/6.97 tff(27303,plain,
% 9.39/6.97 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB52) <=> (~((~v130(constB52)) | (~v139(constB52)))))),
% 9.39/6.97 inference(modus_ponens,[status(thm)],[27302, 27301])).
% 9.39/6.97 tff(27304,plain,
% 9.39/6.97 (v155(constB52) <=> (~((~v130(constB52)) | (~v139(constB52))))),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27303, 447])).
% 9.39/6.97 tff(27305,plain,
% 9.39/6.97 ((~![VarNext: $i] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB52) <=> v152(constB52))),
% 9.39/6.97 inference(quant_inst,[status(thm)],[])).
% 9.39/6.97 tff(27306,plain,
% 9.39/6.97 (v130(constB52) <=> v152(constB52)),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27305, 361])).
% 9.39/6.97 tff(27307,plain,
% 9.39/6.97 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB51, constB52)) | (v152(constB52) <=> v150(constB51)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB51, constB52)) | (v152(constB52) <=> v150(constB51)))),
% 9.39/6.97 inference(rewrite,[status(thm)],[])).
% 9.39/6.97 tff(27308,plain,
% 9.39/6.97 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB51, constB52)) | (v152(constB52) <=> v150(constB51)))),
% 9.39/6.97 inference(quant_inst,[status(thm)],[])).
% 9.39/6.97 tff(27309,plain,
% 9.39/6.97 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB51, constB52)) | (v152(constB52) <=> v150(constB51))),
% 9.39/6.97 inference(modus_ponens,[status(thm)],[27308, 27307])).
% 9.39/6.97 tff(27310,plain,
% 9.39/6.97 (v152(constB52) <=> v150(constB51)),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27309, 7386, 373])).
% 9.39/6.97 tff(27311,plain,
% 9.39/6.97 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v153(VarCurr) | v155(VarCurr)))) | (v150(constB51) <=> (v153(constB51) | v155(constB51)))),
% 9.39/6.97 inference(quant_inst,[status(thm)],[])).
% 9.39/6.97 tff(27312,plain,
% 9.39/6.97 (v150(constB51) <=> (v153(constB51) | v155(constB51))),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27311, 387])).
% 9.39/6.97 tff(27313,plain,
% 9.39/6.97 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB51) <=> (~((~v130(constB51)) | (~v139(constB51)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB51) <=> (~((~v130(constB51)) | (~v139(constB51))))))),
% 9.39/6.97 inference(rewrite,[status(thm)],[])).
% 9.39/6.97 tff(27314,plain,
% 9.39/6.97 ((v155(constB51) <=> (~((~v139(constB51)) | (~v130(constB51))))) <=> (v155(constB51) <=> (~((~v130(constB51)) | (~v139(constB51)))))),
% 9.39/6.97 inference(rewrite,[status(thm)],[])).
% 9.39/6.97 tff(27315,plain,
% 9.39/6.97 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB51) <=> (~((~v139(constB51)) | (~v130(constB51)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB51) <=> (~((~v130(constB51)) | (~v139(constB51))))))),
% 9.39/6.97 inference(monotonicity,[status(thm)],[27314])).
% 9.39/6.97 tff(27316,plain,
% 9.39/6.97 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB51) <=> (~((~v139(constB51)) | (~v130(constB51)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB51) <=> (~((~v130(constB51)) | (~v139(constB51))))))),
% 9.39/6.97 inference(transitivity,[status(thm)],[27315, 27313])).
% 9.39/6.97 tff(27317,plain,
% 9.39/6.97 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB51) <=> (~((~v139(constB51)) | (~v130(constB51)))))),
% 9.39/6.97 inference(quant_inst,[status(thm)],[])).
% 9.39/6.97 tff(27318,plain,
% 9.39/6.97 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB51) <=> (~((~v130(constB51)) | (~v139(constB51)))))),
% 9.39/6.97 inference(modus_ponens,[status(thm)],[27317, 27316])).
% 9.39/6.97 tff(27319,plain,
% 9.39/6.97 (v155(constB51) <=> (~((~v130(constB51)) | (~v139(constB51))))),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27318, 447])).
% 9.39/6.97 tff(27320,plain,
% 9.39/6.97 ((~![VarCurr: $i] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB51)) <=> v140(constB51))),
% 9.39/6.97 inference(quant_inst,[status(thm)],[])).
% 9.39/6.97 tff(27321,plain,
% 9.39/6.97 ((~v139(constB51)) <=> v140(constB51)),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27320, 203])).
% 9.39/6.97 tff(27322,plain,
% 9.39/6.97 ((~![VarCurr: $i] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB51) <=> (v141(constB51) | v26(constB51)))),
% 9.39/6.97 inference(quant_inst,[status(thm)],[])).
% 9.39/6.97 tff(27323,plain,
% 9.39/6.97 (v140(constB51) <=> (v141(constB51) | v26(constB51))),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27322, 212])).
% 9.39/6.97 tff(27324,plain,
% 9.39/6.97 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB51) <=> (~((~v39(constB51)) | (~v9(constB51)))))),
% 9.39/6.97 inference(quant_inst,[status(thm)],[])).
% 9.39/6.97 tff(27325,plain,
% 9.39/6.97 (v141(constB51) <=> (~((~v39(constB51)) | (~v9(constB51))))),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27324, 130])).
% 9.39/6.97 tff(27326,plain,
% 9.39/6.97 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB51, constB52)) | (v13(constB52) <=> v9(constB51)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB51, constB52)) | (v13(constB52) <=> v9(constB51)))),
% 9.39/6.97 inference(rewrite,[status(thm)],[])).
% 9.39/6.97 tff(27327,plain,
% 9.39/6.97 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB51, constB52)) | (v13(constB52) <=> v9(constB51)))),
% 9.39/6.97 inference(quant_inst,[status(thm)],[])).
% 9.39/6.97 tff(27328,plain,
% 9.39/6.97 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB51, constB52)) | (v13(constB52) <=> v9(constB51))),
% 9.39/6.97 inference(modus_ponens,[status(thm)],[27327, 27326])).
% 9.39/6.97 tff(27329,plain,
% 9.39/6.97 (v13(constB52) <=> v9(constB51)),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27328, 7386, 226])).
% 9.39/6.97 tff(27330,plain,
% 9.39/6.97 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB52) <=> v13(constB52))),
% 9.39/6.97 inference(quant_inst,[status(thm)],[])).
% 9.39/6.97 tff(27331,plain,
% 9.39/6.97 (v6(constB52) <=> v13(constB52)),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27330, 240])).
% 9.39/6.97 tff(27332,plain,
% 9.39/6.97 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB52)) <=> v6(constB52))),
% 9.39/6.97 inference(quant_inst,[status(thm)],[])).
% 9.39/6.97 tff(27333,plain,
% 9.39/6.97 ((~v21(constB52)) <=> v6(constB52)),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27332, 249])).
% 9.39/6.97 tff(27334,plain,
% 9.39/6.97 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB52) <=> (v20(constB52) | v21(constB52)))),
% 9.39/6.97 inference(quant_inst,[status(thm)],[])).
% 9.39/6.97 tff(27335,plain,
% 9.39/6.97 (v19(constB52) <=> (v20(constB52) | v21(constB52))),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27334, 258])).
% 9.39/6.97 tff(27336,plain,
% 9.39/6.97 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB52) <=> (~((~v19(constB52)) | (~v22(constB52)))))),
% 9.39/6.97 inference(quant_inst,[status(thm)],[])).
% 9.39/6.97 tff(27337,plain,
% 9.39/6.97 (v18(constB52) <=> (~((~v19(constB52)) | (~v22(constB52))))),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27336, 270])).
% 9.39/6.97 tff(27338,plain,
% 9.39/6.97 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB52)) <=> v18(constB52))),
% 9.39/6.97 inference(quant_inst,[status(thm)],[])).
% 9.39/6.97 tff(27339,plain,
% 9.39/6.97 ((~v4(constB52)) <=> v18(constB52)),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27338, 279])).
% 9.39/6.97 tff(27340,plain,
% 9.39/6.97 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB52)),
% 9.39/6.97 inference(quant_inst,[status(thm)],[])).
% 9.39/6.97 tff(27341,plain,
% 9.39/6.97 (v4(constB52)),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27340, 288])).
% 9.39/6.97 tff(27342,plain,
% 9.39/6.97 ((~((~v4(constB52)) <=> v18(constB52))) | (~v4(constB52)) | (~v18(constB52))),
% 9.39/6.97 inference(tautology,[status(thm)],[])).
% 9.39/6.97 tff(27343,plain,
% 9.39/6.97 (~v18(constB52)),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27342, 27341, 27339])).
% 9.39/6.97 tff(27344,plain,
% 9.39/6.97 ((~(v18(constB52) <=> (~((~v19(constB52)) | (~v22(constB52)))))) | v18(constB52) | ((~v19(constB52)) | (~v22(constB52)))),
% 9.39/6.97 inference(tautology,[status(thm)],[])).
% 9.39/6.97 tff(27345,plain,
% 9.39/6.97 ((~v19(constB52)) | (~v22(constB52))),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27344, 27343, 27337])).
% 9.39/6.97 tff(27346,plain,
% 9.39/6.97 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB52) <=> (v1(constB52) | v6(constB52)))),
% 9.39/6.97 inference(quant_inst,[status(thm)],[])).
% 9.39/6.97 tff(27347,plain,
% 9.39/6.97 (v22(constB52) <=> (v1(constB52) | v6(constB52))),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27346, 301])).
% 9.39/6.97 tff(27348,plain,
% 9.39/6.97 ((v1(constB52) | v6(constB52)) | (~v1(constB52))),
% 9.39/6.97 inference(tautology,[status(thm)],[])).
% 9.39/6.97 tff(27349,plain,
% 9.39/6.97 (v1(constB52) | v6(constB52)),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27348, 7416])).
% 9.39/6.97 tff(27350,plain,
% 9.39/6.97 ((~(v22(constB52) <=> (v1(constB52) | v6(constB52)))) | v22(constB52) | (~(v1(constB52) | v6(constB52)))),
% 9.39/6.97 inference(tautology,[status(thm)],[])).
% 9.39/6.97 tff(27351,plain,
% 9.39/6.97 ((~(v22(constB52) <=> (v1(constB52) | v6(constB52)))) | v22(constB52)),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27350, 27349])).
% 9.39/6.97 tff(27352,plain,
% 9.39/6.97 (v22(constB52)),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27351, 27347])).
% 9.39/6.97 tff(27353,plain,
% 9.39/6.97 ((~((~v19(constB52)) | (~v22(constB52)))) | (~v19(constB52)) | (~v22(constB52))),
% 9.39/6.97 inference(tautology,[status(thm)],[])).
% 9.39/6.97 tff(27354,plain,
% 9.39/6.97 ((~((~v19(constB52)) | (~v22(constB52)))) | (~v19(constB52))),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27353, 27352])).
% 9.39/6.97 tff(27355,plain,
% 9.39/6.97 (~v19(constB52)),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27354, 27345])).
% 9.39/6.97 tff(27356,plain,
% 9.39/6.97 ((~(v19(constB52) <=> (v20(constB52) | v21(constB52)))) | v19(constB52) | (~(v20(constB52) | v21(constB52)))),
% 9.39/6.97 inference(tautology,[status(thm)],[])).
% 9.39/6.97 tff(27357,plain,
% 9.39/6.97 (~(v20(constB52) | v21(constB52))),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27356, 27355, 27335])).
% 9.39/6.97 tff(27358,plain,
% 9.39/6.97 ((v20(constB52) | v21(constB52)) | (~v21(constB52))),
% 9.39/6.97 inference(tautology,[status(thm)],[])).
% 9.39/6.97 tff(27359,plain,
% 9.39/6.97 (~v21(constB52)),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27358, 27357])).
% 9.39/6.97 tff(27360,plain,
% 9.39/6.97 ((~((~v21(constB52)) <=> v6(constB52))) | v21(constB52) | v6(constB52)),
% 9.39/6.97 inference(tautology,[status(thm)],[])).
% 9.39/6.97 tff(27361,plain,
% 9.39/6.97 (v6(constB52)),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27360, 27359, 27333])).
% 9.39/6.97 tff(27362,plain,
% 9.39/6.97 ((~(v6(constB52) <=> v13(constB52))) | (~v6(constB52)) | v13(constB52)),
% 9.39/6.97 inference(tautology,[status(thm)],[])).
% 9.39/6.97 tff(27363,plain,
% 9.39/6.97 (v13(constB52)),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27362, 27361, 27331])).
% 9.39/6.97 tff(27364,plain,
% 9.39/6.97 ((~(v13(constB52) <=> v9(constB51))) | (~v13(constB52)) | v9(constB51)),
% 9.39/6.97 inference(tautology,[status(thm)],[])).
% 9.39/6.97 tff(27365,plain,
% 9.39/6.97 (v9(constB51)),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27364, 27363, 27329])).
% 9.39/6.97 tff(27366,plain,
% 9.39/6.97 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB51)) <=> v1(constB51))),
% 9.39/6.97 inference(quant_inst,[status(thm)],[])).
% 9.39/6.97 tff(27367,plain,
% 9.39/6.97 ((~v39(constB51)) <=> v1(constB51)),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27366, 139])).
% 9.39/6.97 tff(27368,plain,
% 9.39/6.97 ((~((~v39(constB51)) <=> v1(constB51))) | v39(constB51) | v1(constB51)),
% 9.39/6.97 inference(tautology,[status(thm)],[])).
% 9.39/6.97 tff(27369,plain,
% 9.39/6.97 ((~((~v39(constB51)) <=> v1(constB51))) | v39(constB51)),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27368, 7408])).
% 9.39/6.97 tff(27370,plain,
% 9.39/6.97 (v39(constB51)),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27369, 27367])).
% 9.39/6.97 tff(27371,plain,
% 9.39/6.97 ((~((~v39(constB51)) | (~v9(constB51)))) | (~v39(constB51)) | (~v9(constB51))),
% 9.39/6.97 inference(tautology,[status(thm)],[])).
% 9.39/6.97 tff(27372,plain,
% 9.39/6.97 ((~((~v39(constB51)) | (~v9(constB51)))) | (~v9(constB51))),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27371, 27370])).
% 9.39/6.97 tff(27373,plain,
% 9.39/6.97 (~((~v39(constB51)) | (~v9(constB51)))),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27372, 27365])).
% 9.39/6.97 tff(27374,plain,
% 9.39/6.97 ((~(v141(constB51) <=> (~((~v39(constB51)) | (~v9(constB51)))))) | v141(constB51) | ((~v39(constB51)) | (~v9(constB51)))),
% 9.39/6.97 inference(tautology,[status(thm)],[])).
% 9.39/6.97 tff(27375,plain,
% 9.39/6.97 (v141(constB51)),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27374, 27373, 27325])).
% 9.39/6.97 tff(27376,plain,
% 9.39/6.97 ((v141(constB51) | v26(constB51)) | (~v141(constB51))),
% 9.39/6.97 inference(tautology,[status(thm)],[])).
% 9.39/6.97 tff(27377,plain,
% 9.39/6.97 (v141(constB51) | v26(constB51)),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27376, 27375])).
% 9.39/6.97 tff(27378,plain,
% 9.39/6.97 ((~(v140(constB51) <=> (v141(constB51) | v26(constB51)))) | v140(constB51) | (~(v141(constB51) | v26(constB51)))),
% 9.39/6.97 inference(tautology,[status(thm)],[])).
% 9.39/6.97 tff(27379,plain,
% 9.39/6.97 (v140(constB51)),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27378, 27377, 27323])).
% 9.39/6.97 tff(27380,plain,
% 9.39/6.97 ((~((~v139(constB51)) <=> v140(constB51))) | (~v139(constB51)) | (~v140(constB51))),
% 9.39/6.97 inference(tautology,[status(thm)],[])).
% 9.39/6.97 tff(27381,plain,
% 9.39/6.97 (~v139(constB51)),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27380, 27379, 27321])).
% 9.39/6.97 tff(27382,plain,
% 9.39/6.97 (((~v130(constB51)) | (~v139(constB51))) | v139(constB51)),
% 9.39/6.97 inference(tautology,[status(thm)],[])).
% 9.39/6.97 tff(27383,plain,
% 9.39/6.97 ((~v130(constB51)) | (~v139(constB51))),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27382, 27381])).
% 9.39/6.97 tff(27384,plain,
% 9.39/6.97 ((~(v155(constB51) <=> (~((~v130(constB51)) | (~v139(constB51)))))) | (~v155(constB51)) | (~((~v130(constB51)) | (~v139(constB51))))),
% 9.39/6.97 inference(tautology,[status(thm)],[])).
% 9.39/6.97 tff(27385,plain,
% 9.39/6.97 (~v155(constB51)),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27384, 27383, 27319])).
% 9.39/6.97 tff(27386,plain,
% 9.39/6.97 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB51) <=> (~((~v132(constB51)) | (~v154(constB51)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB51) <=> (~((~v132(constB51)) | (~v154(constB51))))))),
% 9.39/6.97 inference(rewrite,[status(thm)],[])).
% 9.39/6.97 tff(27387,plain,
% 9.39/6.97 ((v153(constB51) <=> (~((~v154(constB51)) | (~v132(constB51))))) <=> (v153(constB51) <=> (~((~v132(constB51)) | (~v154(constB51)))))),
% 9.39/6.97 inference(rewrite,[status(thm)],[])).
% 9.39/6.97 tff(27388,plain,
% 9.39/6.97 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB51) <=> (~((~v154(constB51)) | (~v132(constB51)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB51) <=> (~((~v132(constB51)) | (~v154(constB51))))))),
% 9.39/6.97 inference(monotonicity,[status(thm)],[27387])).
% 9.39/6.97 tff(27389,plain,
% 9.39/6.97 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB51) <=> (~((~v154(constB51)) | (~v132(constB51)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB51) <=> (~((~v132(constB51)) | (~v154(constB51))))))),
% 9.39/6.97 inference(transitivity,[status(thm)],[27388, 27386])).
% 9.39/6.97 tff(27390,plain,
% 9.39/6.97 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB51) <=> (~((~v154(constB51)) | (~v132(constB51)))))),
% 9.39/6.97 inference(quant_inst,[status(thm)],[])).
% 9.39/6.97 tff(27391,plain,
% 9.39/6.97 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB51) <=> (~((~v132(constB51)) | (~v154(constB51)))))),
% 9.39/6.97 inference(modus_ponens,[status(thm)],[27390, 27389])).
% 9.39/6.97 tff(27392,plain,
% 9.39/6.97 (v153(constB51) <=> (~((~v132(constB51)) | (~v154(constB51))))),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27391, 399])).
% 9.39/6.97 tff(27393,plain,
% 9.39/6.97 ((~![VarNext: $i] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB51) <=> v137(constB51))),
% 9.39/6.97 inference(quant_inst,[status(thm)],[])).
% 9.39/6.97 tff(27394,plain,
% 9.39/6.97 (v132(constB51) <=> v137(constB51)),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27393, 558])).
% 9.39/6.97 tff(27395,plain,
% 9.39/6.97 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB50, constB51)) | (v137(constB51) <=> v135(constB50)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB50, constB51)) | (v137(constB51) <=> v135(constB50)))),
% 9.39/6.97 inference(rewrite,[status(thm)],[])).
% 9.39/6.97 tff(27396,plain,
% 9.39/6.97 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB50, constB51)) | (v137(constB51) <=> v135(constB50)))),
% 9.39/6.97 inference(quant_inst,[status(thm)],[])).
% 9.39/6.97 tff(27397,plain,
% 9.39/6.97 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB50, constB51)) | (v137(constB51) <=> v135(constB50))),
% 9.39/6.97 inference(modus_ponens,[status(thm)],[27396, 27395])).
% 9.39/6.97 tff(27398,plain,
% 9.39/6.97 (v137(constB51) <=> v135(constB50)),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27397, 7451, 570])).
% 9.39/6.97 tff(27399,plain,
% 9.39/6.97 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB50) <=> (v138(constB50) | v142(constB50)))),
% 9.39/6.97 inference(quant_inst,[status(thm)],[])).
% 9.39/6.97 tff(27400,plain,
% 9.39/6.97 (v135(constB50) <=> (v138(constB50) | v142(constB50))),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27399, 584])).
% 9.39/6.97 tff(27401,plain,
% 9.39/6.97 ((~![VarCurr: $i] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB50) <=> (~((~v143(constB50)) | (~v144(constB50)))))),
% 9.39/6.97 inference(quant_inst,[status(thm)],[])).
% 9.39/6.97 tff(27402,plain,
% 9.39/6.97 (v142(constB50) <=> (~((~v143(constB50)) | (~v144(constB50))))),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27401, 596])).
% 9.39/6.97 tff(27403,plain,
% 9.39/6.97 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB50) <=> (~((~v141(constB50)) | (~v145(constB50)))))),
% 9.39/6.97 inference(quant_inst,[status(thm)],[])).
% 9.39/6.97 tff(27404,plain,
% 9.39/6.97 (v144(constB50) <=> (~((~v141(constB50)) | (~v145(constB50))))),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27403, 608])).
% 9.39/6.97 tff(27405,plain,
% 9.39/6.97 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB50) <=> (~((~v39(constB50)) | (~v9(constB50)))))),
% 9.39/6.97 inference(quant_inst,[status(thm)],[])).
% 9.39/6.97 tff(27406,plain,
% 9.39/6.97 (v141(constB50) <=> (~((~v39(constB50)) | (~v9(constB50))))),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27405, 130])).
% 9.39/6.97 tff(27407,plain,
% 9.39/6.97 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB50)) <=> v1(constB50))),
% 9.39/6.97 inference(quant_inst,[status(thm)],[])).
% 9.39/6.97 tff(27408,plain,
% 9.39/6.97 ((~v39(constB50)) <=> v1(constB50)),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27407, 139])).
% 9.39/6.97 tff(27409,plain,
% 9.39/6.97 ((~((~v39(constB50)) <=> v1(constB50))) | (~v39(constB50)) | (~v1(constB50))),
% 9.39/6.97 inference(tautology,[status(thm)],[])).
% 9.39/6.97 tff(27410,plain,
% 9.39/6.97 ((~((~v39(constB50)) <=> v1(constB50))) | (~v39(constB50))),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27409, 7513])).
% 9.39/6.97 tff(27411,plain,
% 9.39/6.97 (~v39(constB50)),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27410, 27408])).
% 9.39/6.97 tff(27412,plain,
% 9.39/6.97 (((~v39(constB50)) | (~v9(constB50))) | v39(constB50)),
% 9.39/6.97 inference(tautology,[status(thm)],[])).
% 9.39/6.97 tff(27413,plain,
% 9.39/6.97 ((~v39(constB50)) | (~v9(constB50))),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27412, 27411])).
% 9.39/6.97 tff(27414,plain,
% 9.39/6.97 ((~(v141(constB50) <=> (~((~v39(constB50)) | (~v9(constB50)))))) | (~v141(constB50)) | (~((~v39(constB50)) | (~v9(constB50))))),
% 9.39/6.97 inference(tautology,[status(thm)],[])).
% 9.39/6.97 tff(27415,plain,
% 9.39/6.97 ((~(v141(constB50) <=> (~((~v39(constB50)) | (~v9(constB50)))))) | (~v141(constB50))),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27414, 27413])).
% 9.39/6.97 tff(27416,plain,
% 9.39/6.97 (~v141(constB50)),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27415, 27406])).
% 9.39/6.97 tff(27417,plain,
% 9.39/6.97 (((~v141(constB50)) | (~v145(constB50))) | v141(constB50)),
% 9.39/6.97 inference(tautology,[status(thm)],[])).
% 9.39/6.97 tff(27418,plain,
% 9.39/6.97 ((~v141(constB50)) | (~v145(constB50))),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27417, 27416])).
% 9.39/6.97 tff(27419,plain,
% 9.39/6.97 ((~(v144(constB50) <=> (~((~v141(constB50)) | (~v145(constB50)))))) | (~v144(constB50)) | (~((~v141(constB50)) | (~v145(constB50))))),
% 9.39/6.97 inference(tautology,[status(thm)],[])).
% 9.39/6.97 tff(27420,plain,
% 9.39/6.97 ((~(v144(constB50) <=> (~((~v141(constB50)) | (~v145(constB50)))))) | (~v144(constB50))),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27419, 27418])).
% 9.39/6.97 tff(27421,plain,
% 9.39/6.97 (~v144(constB50)),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27420, 27404])).
% 9.39/6.97 tff(27422,plain,
% 9.39/6.97 (((~v143(constB50)) | (~v144(constB50))) | v144(constB50)),
% 9.39/6.97 inference(tautology,[status(thm)],[])).
% 9.39/6.97 tff(27423,plain,
% 9.39/6.97 ((~v143(constB50)) | (~v144(constB50))),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27422, 27421])).
% 9.39/6.97 tff(27424,plain,
% 9.39/6.97 ((~(v142(constB50) <=> (~((~v143(constB50)) | (~v144(constB50)))))) | (~v142(constB50)) | (~((~v143(constB50)) | (~v144(constB50))))),
% 9.39/6.97 inference(tautology,[status(thm)],[])).
% 9.39/6.97 tff(27425,plain,
% 9.39/6.97 (~v142(constB50)),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27424, 27423, 27402])).
% 9.39/6.97 tff(27426,plain,
% 9.39/6.97 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB50) <=> (~((~v132(constB50)) | (~v139(constB50)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB50) <=> (~((~v132(constB50)) | (~v139(constB50))))))),
% 9.39/6.97 inference(rewrite,[status(thm)],[])).
% 9.39/6.97 tff(27427,plain,
% 9.39/6.97 ((v138(constB50) <=> (~((~v139(constB50)) | (~v132(constB50))))) <=> (v138(constB50) <=> (~((~v132(constB50)) | (~v139(constB50)))))),
% 9.39/6.97 inference(rewrite,[status(thm)],[])).
% 9.39/6.97 tff(27428,plain,
% 9.39/6.97 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB50) <=> (~((~v139(constB50)) | (~v132(constB50)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB50) <=> (~((~v132(constB50)) | (~v139(constB50))))))),
% 9.39/6.97 inference(monotonicity,[status(thm)],[27427])).
% 9.39/6.97 tff(27429,plain,
% 9.39/6.97 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB50) <=> (~((~v139(constB50)) | (~v132(constB50)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB50) <=> (~((~v132(constB50)) | (~v139(constB50))))))),
% 9.39/6.97 inference(transitivity,[status(thm)],[27428, 27426])).
% 9.39/6.97 tff(27430,plain,
% 9.39/6.97 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB50) <=> (~((~v139(constB50)) | (~v132(constB50)))))),
% 9.39/6.97 inference(quant_inst,[status(thm)],[])).
% 9.39/6.97 tff(27431,plain,
% 9.39/6.97 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB50) <=> (~((~v132(constB50)) | (~v139(constB50)))))),
% 9.39/6.97 inference(modus_ponens,[status(thm)],[27430, 27429])).
% 9.39/6.97 tff(27432,plain,
% 9.39/6.97 (v138(constB50) <=> (~((~v132(constB50)) | (~v139(constB50))))),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27431, 644])).
% 9.39/6.97 tff(27433,plain,
% 9.39/6.97 ((~![VarNext: $i] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB50) <=> v137(constB50))),
% 9.39/6.97 inference(quant_inst,[status(thm)],[])).
% 9.39/6.97 tff(27434,plain,
% 9.39/6.97 (v132(constB50) <=> v137(constB50)),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27433, 558])).
% 9.39/6.97 tff(27435,plain,
% 9.39/6.97 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB49, constB50)) | (v137(constB50) <=> v135(constB49)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB49, constB50)) | (v137(constB50) <=> v135(constB49)))),
% 9.39/6.97 inference(rewrite,[status(thm)],[])).
% 9.39/6.97 tff(27436,plain,
% 9.39/6.97 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB49, constB50)) | (v137(constB50) <=> v135(constB49)))),
% 9.39/6.97 inference(quant_inst,[status(thm)],[])).
% 9.39/6.97 tff(27437,plain,
% 9.39/6.97 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB49, constB50)) | (v137(constB50) <=> v135(constB49))),
% 9.39/6.97 inference(modus_ponens,[status(thm)],[27436, 27435])).
% 9.39/6.97 tff(27438,plain,
% 9.39/6.97 (v137(constB50) <=> v135(constB49)),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27437, 7483, 570])).
% 9.39/6.97 tff(27439,plain,
% 9.39/6.97 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB49) <=> (v138(constB49) | v142(constB49)))),
% 9.39/6.97 inference(quant_inst,[status(thm)],[])).
% 9.39/6.97 tff(27440,plain,
% 9.39/6.97 (v135(constB49) <=> (v138(constB49) | v142(constB49))),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27439, 584])).
% 9.39/6.97 tff(27441,plain,
% 9.39/6.97 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB49) <=> (~((~v132(constB49)) | (~v139(constB49)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB49) <=> (~((~v132(constB49)) | (~v139(constB49))))))),
% 9.39/6.97 inference(rewrite,[status(thm)],[])).
% 9.39/6.97 tff(27442,plain,
% 9.39/6.97 ((v138(constB49) <=> (~((~v139(constB49)) | (~v132(constB49))))) <=> (v138(constB49) <=> (~((~v132(constB49)) | (~v139(constB49)))))),
% 9.39/6.97 inference(rewrite,[status(thm)],[])).
% 9.39/6.97 tff(27443,plain,
% 9.39/6.97 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB49) <=> (~((~v139(constB49)) | (~v132(constB49)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB49) <=> (~((~v132(constB49)) | (~v139(constB49))))))),
% 9.39/6.97 inference(monotonicity,[status(thm)],[27442])).
% 9.39/6.97 tff(27444,plain,
% 9.39/6.97 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB49) <=> (~((~v139(constB49)) | (~v132(constB49)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB49) <=> (~((~v132(constB49)) | (~v139(constB49))))))),
% 9.39/6.97 inference(transitivity,[status(thm)],[27443, 27441])).
% 9.39/6.97 tff(27445,plain,
% 9.39/6.97 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB49) <=> (~((~v139(constB49)) | (~v132(constB49)))))),
% 9.39/6.97 inference(quant_inst,[status(thm)],[])).
% 9.39/6.97 tff(27446,plain,
% 9.39/6.97 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB49) <=> (~((~v132(constB49)) | (~v139(constB49)))))),
% 9.39/6.97 inference(modus_ponens,[status(thm)],[27445, 27444])).
% 9.39/6.97 tff(27447,plain,
% 9.39/6.97 (v138(constB49) <=> (~((~v132(constB49)) | (~v139(constB49))))),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27446, 644])).
% 9.39/6.97 tff(27448,plain,
% 9.39/6.97 ((~![VarCurr: $i] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB49)) <=> v140(constB49))),
% 9.39/6.97 inference(quant_inst,[status(thm)],[])).
% 9.39/6.97 tff(27449,plain,
% 9.39/6.97 ((~v139(constB49)) <=> v140(constB49)),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27448, 203])).
% 9.39/6.97 tff(27450,plain,
% 9.39/6.97 ((~![VarCurr: $i] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB49) <=> (v141(constB49) | v26(constB49)))),
% 9.39/6.97 inference(quant_inst,[status(thm)],[])).
% 9.39/6.97 tff(27451,plain,
% 9.39/6.97 (v140(constB49) <=> (v141(constB49) | v26(constB49))),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27450, 212])).
% 9.39/6.97 tff(27452,plain,
% 9.39/6.97 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB49) <=> (~((~v39(constB49)) | (~v9(constB49)))))),
% 9.39/6.97 inference(quant_inst,[status(thm)],[])).
% 9.39/6.97 tff(27453,plain,
% 9.39/6.97 (v141(constB49) <=> (~((~v39(constB49)) | (~v9(constB49))))),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27452, 130])).
% 9.39/6.97 tff(27454,plain,
% 9.39/6.97 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB49, constB50)) | (v13(constB50) <=> v9(constB49)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB49, constB50)) | (v13(constB50) <=> v9(constB49)))),
% 9.39/6.97 inference(rewrite,[status(thm)],[])).
% 9.39/6.97 tff(27455,plain,
% 9.39/6.97 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB49, constB50)) | (v13(constB50) <=> v9(constB49)))),
% 9.39/6.97 inference(quant_inst,[status(thm)],[])).
% 9.39/6.97 tff(27456,plain,
% 9.39/6.97 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB49, constB50)) | (v13(constB50) <=> v9(constB49))),
% 9.39/6.97 inference(modus_ponens,[status(thm)],[27455, 27454])).
% 9.39/6.97 tff(27457,plain,
% 9.39/6.97 (v13(constB50) <=> v9(constB49)),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27456, 7483, 226])).
% 9.39/6.97 tff(27458,plain,
% 9.39/6.97 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB50) <=> v13(constB50))),
% 9.39/6.97 inference(quant_inst,[status(thm)],[])).
% 9.39/6.97 tff(27459,plain,
% 9.39/6.97 (v6(constB50) <=> v13(constB50)),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27458, 240])).
% 9.39/6.97 tff(27460,plain,
% 9.39/6.97 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB50)) <=> v6(constB50))),
% 9.39/6.97 inference(quant_inst,[status(thm)],[])).
% 9.39/6.97 tff(27461,plain,
% 9.39/6.97 ((~v21(constB50)) <=> v6(constB50)),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27460, 249])).
% 9.39/6.97 tff(27462,plain,
% 9.39/6.97 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB50) <=> (v20(constB50) | v21(constB50)))),
% 9.39/6.97 inference(quant_inst,[status(thm)],[])).
% 9.39/6.97 tff(27463,plain,
% 9.39/6.97 (v19(constB50) <=> (v20(constB50) | v21(constB50))),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27462, 258])).
% 9.39/6.97 tff(27464,plain,
% 9.39/6.97 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB50) <=> (~((~v19(constB50)) | (~v22(constB50)))))),
% 9.39/6.97 inference(quant_inst,[status(thm)],[])).
% 9.39/6.97 tff(27465,plain,
% 9.39/6.97 (v18(constB50) <=> (~((~v19(constB50)) | (~v22(constB50))))),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27464, 270])).
% 9.39/6.97 tff(27466,plain,
% 9.39/6.97 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB50)) <=> v18(constB50))),
% 9.39/6.97 inference(quant_inst,[status(thm)],[])).
% 9.39/6.97 tff(27467,plain,
% 9.39/6.97 ((~v4(constB50)) <=> v18(constB50)),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27466, 279])).
% 9.39/6.97 tff(27468,plain,
% 9.39/6.97 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB50)),
% 9.39/6.97 inference(quant_inst,[status(thm)],[])).
% 9.39/6.97 tff(27469,plain,
% 9.39/6.97 (v4(constB50)),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27468, 288])).
% 9.39/6.97 tff(27470,plain,
% 9.39/6.97 ((~((~v4(constB50)) <=> v18(constB50))) | (~v4(constB50)) | (~v18(constB50))),
% 9.39/6.97 inference(tautology,[status(thm)],[])).
% 9.39/6.97 tff(27471,plain,
% 9.39/6.97 (~v18(constB50)),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27470, 27469, 27467])).
% 9.39/6.97 tff(27472,plain,
% 9.39/6.97 ((~(v18(constB50) <=> (~((~v19(constB50)) | (~v22(constB50)))))) | v18(constB50) | ((~v19(constB50)) | (~v22(constB50)))),
% 9.39/6.97 inference(tautology,[status(thm)],[])).
% 9.39/6.97 tff(27473,plain,
% 9.39/6.97 ((~v19(constB50)) | (~v22(constB50))),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27472, 27471, 27465])).
% 9.39/6.97 tff(27474,plain,
% 9.39/6.97 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB50) <=> (v1(constB50) | v6(constB50)))),
% 9.39/6.97 inference(quant_inst,[status(thm)],[])).
% 9.39/6.97 tff(27475,plain,
% 9.39/6.97 (v22(constB50) <=> (v1(constB50) | v6(constB50))),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27474, 301])).
% 9.39/6.97 tff(27476,plain,
% 9.39/6.97 ((v1(constB50) | v6(constB50)) | (~v1(constB50))),
% 9.39/6.97 inference(tautology,[status(thm)],[])).
% 9.39/6.97 tff(27477,plain,
% 9.39/6.97 (v1(constB50) | v6(constB50)),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27476, 7513])).
% 9.39/6.97 tff(27478,plain,
% 9.39/6.97 ((~(v22(constB50) <=> (v1(constB50) | v6(constB50)))) | v22(constB50) | (~(v1(constB50) | v6(constB50)))),
% 9.39/6.97 inference(tautology,[status(thm)],[])).
% 9.39/6.97 tff(27479,plain,
% 9.39/6.97 ((~(v22(constB50) <=> (v1(constB50) | v6(constB50)))) | v22(constB50)),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27478, 27477])).
% 9.39/6.97 tff(27480,plain,
% 9.39/6.97 (v22(constB50)),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27479, 27475])).
% 9.39/6.97 tff(27481,plain,
% 9.39/6.97 ((~((~v19(constB50)) | (~v22(constB50)))) | (~v19(constB50)) | (~v22(constB50))),
% 9.39/6.97 inference(tautology,[status(thm)],[])).
% 9.39/6.97 tff(27482,plain,
% 9.39/6.97 ((~((~v19(constB50)) | (~v22(constB50)))) | (~v19(constB50))),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27481, 27480])).
% 9.39/6.97 tff(27483,plain,
% 9.39/6.97 (~v19(constB50)),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27482, 27473])).
% 9.39/6.97 tff(27484,plain,
% 9.39/6.97 ((~(v19(constB50) <=> (v20(constB50) | v21(constB50)))) | v19(constB50) | (~(v20(constB50) | v21(constB50)))),
% 9.39/6.97 inference(tautology,[status(thm)],[])).
% 9.39/6.97 tff(27485,plain,
% 9.39/6.97 (~(v20(constB50) | v21(constB50))),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27484, 27483, 27463])).
% 9.39/6.97 tff(27486,plain,
% 9.39/6.97 ((v20(constB50) | v21(constB50)) | (~v21(constB50))),
% 9.39/6.97 inference(tautology,[status(thm)],[])).
% 9.39/6.97 tff(27487,plain,
% 9.39/6.97 (~v21(constB50)),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27486, 27485])).
% 9.39/6.97 tff(27488,plain,
% 9.39/6.97 ((~((~v21(constB50)) <=> v6(constB50))) | v21(constB50) | v6(constB50)),
% 9.39/6.97 inference(tautology,[status(thm)],[])).
% 9.39/6.97 tff(27489,plain,
% 9.39/6.97 (v6(constB50)),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27488, 27487, 27461])).
% 9.39/6.97 tff(27490,plain,
% 9.39/6.97 ((~(v6(constB50) <=> v13(constB50))) | (~v6(constB50)) | v13(constB50)),
% 9.39/6.97 inference(tautology,[status(thm)],[])).
% 9.39/6.97 tff(27491,plain,
% 9.39/6.97 (v13(constB50)),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27490, 27489, 27459])).
% 9.39/6.97 tff(27492,plain,
% 9.39/6.97 ((~(v13(constB50) <=> v9(constB49))) | (~v13(constB50)) | v9(constB49)),
% 9.39/6.97 inference(tautology,[status(thm)],[])).
% 9.39/6.97 tff(27493,plain,
% 9.39/6.97 (v9(constB49)),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27492, 27491, 27457])).
% 9.39/6.97 tff(27494,plain,
% 9.39/6.97 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB49)) <=> v1(constB49))),
% 9.39/6.97 inference(quant_inst,[status(thm)],[])).
% 9.39/6.97 tff(27495,plain,
% 9.39/6.97 ((~v39(constB49)) <=> v1(constB49)),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27494, 139])).
% 9.39/6.97 tff(27496,plain,
% 9.39/6.97 ((~((~v39(constB49)) <=> v1(constB49))) | v39(constB49) | v1(constB49)),
% 9.39/6.97 inference(tautology,[status(thm)],[])).
% 9.39/6.97 tff(27497,plain,
% 9.39/6.97 ((~((~v39(constB49)) <=> v1(constB49))) | v39(constB49)),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27496, 7505])).
% 9.39/6.97 tff(27498,plain,
% 9.39/6.97 (v39(constB49)),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27497, 27495])).
% 9.39/6.97 tff(27499,plain,
% 9.39/6.97 ((~((~v39(constB49)) | (~v9(constB49)))) | (~v39(constB49)) | (~v9(constB49))),
% 9.39/6.97 inference(tautology,[status(thm)],[])).
% 9.39/6.97 tff(27500,plain,
% 9.39/6.97 ((~((~v39(constB49)) | (~v9(constB49)))) | (~v9(constB49))),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27499, 27498])).
% 9.39/6.97 tff(27501,plain,
% 9.39/6.97 (~((~v39(constB49)) | (~v9(constB49)))),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27500, 27493])).
% 9.39/6.97 tff(27502,plain,
% 9.39/6.97 ((~(v141(constB49) <=> (~((~v39(constB49)) | (~v9(constB49)))))) | v141(constB49) | ((~v39(constB49)) | (~v9(constB49)))),
% 9.39/6.97 inference(tautology,[status(thm)],[])).
% 9.39/6.97 tff(27503,plain,
% 9.39/6.97 (v141(constB49)),
% 9.39/6.97 inference(unit_resolution,[status(thm)],[27502, 27501, 27453])).
% 9.39/6.97 tff(27504,plain,
% 9.39/6.97 ((v141(constB49) | v26(constB49)) | (~v141(constB49))),
% 9.39/6.98 inference(tautology,[status(thm)],[])).
% 9.39/6.98 tff(27505,plain,
% 9.39/6.98 (v141(constB49) | v26(constB49)),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27504, 27503])).
% 9.39/6.98 tff(27506,plain,
% 9.39/6.98 ((~(v140(constB49) <=> (v141(constB49) | v26(constB49)))) | v140(constB49) | (~(v141(constB49) | v26(constB49)))),
% 9.39/6.98 inference(tautology,[status(thm)],[])).
% 9.39/6.98 tff(27507,plain,
% 9.39/6.98 (v140(constB49)),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27506, 27505, 27451])).
% 9.39/6.98 tff(27508,plain,
% 9.39/6.98 ((~((~v139(constB49)) <=> v140(constB49))) | (~v139(constB49)) | (~v140(constB49))),
% 9.39/6.98 inference(tautology,[status(thm)],[])).
% 9.39/6.98 tff(27509,plain,
% 9.39/6.98 (~v139(constB49)),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27508, 27507, 27449])).
% 9.39/6.98 tff(27510,plain,
% 9.39/6.98 (((~v132(constB49)) | (~v139(constB49))) | v139(constB49)),
% 9.39/6.98 inference(tautology,[status(thm)],[])).
% 9.39/6.98 tff(27511,plain,
% 9.39/6.98 ((~v132(constB49)) | (~v139(constB49))),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27510, 27509])).
% 9.39/6.98 tff(27512,plain,
% 9.39/6.98 ((~(v138(constB49) <=> (~((~v132(constB49)) | (~v139(constB49)))))) | (~v138(constB49)) | (~((~v132(constB49)) | (~v139(constB49))))),
% 9.39/6.98 inference(tautology,[status(thm)],[])).
% 9.39/6.98 tff(27513,plain,
% 9.39/6.98 (~v138(constB49)),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27512, 27511, 27447])).
% 9.39/6.98 tff(27514,plain,
% 9.39/6.98 ((~![VarCurr: $i] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB49) <=> (~((~v143(constB49)) | (~v144(constB49)))))),
% 9.39/6.98 inference(quant_inst,[status(thm)],[])).
% 9.39/6.98 tff(27515,plain,
% 9.39/6.98 (v142(constB49) <=> (~((~v143(constB49)) | (~v144(constB49))))),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27514, 596])).
% 9.39/6.98 tff(27516,plain,
% 9.39/6.98 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB49) <=> (~((~v141(constB49)) | (~v145(constB49)))))),
% 9.39/6.98 inference(quant_inst,[status(thm)],[])).
% 9.39/6.98 tff(27517,plain,
% 9.39/6.98 (v144(constB49) <=> (~((~v141(constB49)) | (~v145(constB49))))),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27516, 608])).
% 9.39/6.98 tff(27518,plain,
% 9.39/6.98 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB49) <=> (~(v84(constB49, bitIndex2) | v84(constB49, bitIndex1) | (~v84(constB49, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB49) <=> (~(v84(constB49, bitIndex2) | v84(constB49, bitIndex1) | (~v84(constB49, bitIndex0))))))),
% 9.39/6.98 inference(rewrite,[status(thm)],[])).
% 9.39/6.98 tff(27519,plain,
% 9.39/6.98 ((v145(constB49) <=> (~(v84(constB49, bitIndex1) | v84(constB49, bitIndex2) | (~v84(constB49, bitIndex0))))) <=> (v145(constB49) <=> (~(v84(constB49, bitIndex2) | v84(constB49, bitIndex1) | (~v84(constB49, bitIndex0)))))),
% 9.39/6.98 inference(rewrite,[status(thm)],[])).
% 9.39/6.98 tff(27520,plain,
% 9.39/6.98 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB49) <=> (~(v84(constB49, bitIndex1) | v84(constB49, bitIndex2) | (~v84(constB49, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB49) <=> (~(v84(constB49, bitIndex2) | v84(constB49, bitIndex1) | (~v84(constB49, bitIndex0))))))),
% 9.39/6.98 inference(monotonicity,[status(thm)],[27519])).
% 9.39/6.98 tff(27521,plain,
% 9.39/6.98 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB49) <=> (~(v84(constB49, bitIndex1) | v84(constB49, bitIndex2) | (~v84(constB49, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB49) <=> (~(v84(constB49, bitIndex2) | v84(constB49, bitIndex1) | (~v84(constB49, bitIndex0))))))),
% 9.39/6.98 inference(transitivity,[status(thm)],[27520, 27518])).
% 9.39/6.98 tff(27522,plain,
% 9.39/6.98 ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB49) <=> (~(v84(constB49, bitIndex1) | v84(constB49, bitIndex2) | (~v84(constB49, bitIndex0)))))),
% 9.39/6.98 inference(quant_inst,[status(thm)],[])).
% 9.39/6.98 tff(27523,plain,
% 9.39/6.98 ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB49) <=> (~(v84(constB49, bitIndex2) | v84(constB49, bitIndex1) | (~v84(constB49, bitIndex0)))))),
% 9.39/6.98 inference(modus_ponens,[status(thm)],[27522, 27521])).
% 9.39/6.98 tff(27524,plain,
% 9.39/6.98 (v145(constB49) <=> (~(v84(constB49, bitIndex2) | v84(constB49, bitIndex1) | (~v84(constB49, bitIndex0))))),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27523, 755])).
% 9.39/6.98 tff(27525,plain,
% 9.39/6.98 ((~(v145(constB49) <=> (~(v84(constB49, bitIndex2) | v84(constB49, bitIndex1) | (~v84(constB49, bitIndex0)))))) | (~v145(constB49)) | (~(v84(constB49, bitIndex2) | v84(constB49, bitIndex1) | (~v84(constB49, bitIndex0))))),
% 9.39/6.98 inference(tautology,[status(thm)],[])).
% 9.39/6.98 tff(27526,plain,
% 9.39/6.98 (~v145(constB49)),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27525, 13979, 27524])).
% 9.39/6.98 tff(27527,plain,
% 9.39/6.98 (((~v141(constB49)) | (~v145(constB49))) | v145(constB49)),
% 9.39/6.98 inference(tautology,[status(thm)],[])).
% 9.39/6.98 tff(27528,plain,
% 9.39/6.98 ((~v141(constB49)) | (~v145(constB49))),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27527, 27526])).
% 9.39/6.98 tff(27529,plain,
% 9.39/6.98 ((~(v144(constB49) <=> (~((~v141(constB49)) | (~v145(constB49)))))) | (~v144(constB49)) | (~((~v141(constB49)) | (~v145(constB49))))),
% 9.39/6.98 inference(tautology,[status(thm)],[])).
% 9.39/6.98 tff(27530,plain,
% 9.39/6.98 (~v144(constB49)),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27529, 27528, 27517])).
% 9.39/6.98 tff(27531,plain,
% 9.39/6.98 (((~v143(constB49)) | (~v144(constB49))) | v144(constB49)),
% 9.39/6.98 inference(tautology,[status(thm)],[])).
% 9.39/6.98 tff(27532,plain,
% 9.39/6.98 ((~v143(constB49)) | (~v144(constB49))),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27531, 27530])).
% 9.39/6.98 tff(27533,plain,
% 9.39/6.98 ((~(v142(constB49) <=> (~((~v143(constB49)) | (~v144(constB49)))))) | (~v142(constB49)) | (~((~v143(constB49)) | (~v144(constB49))))),
% 9.39/6.98 inference(tautology,[status(thm)],[])).
% 9.39/6.98 tff(27534,plain,
% 9.39/6.98 (~v142(constB49)),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27533, 27532, 27515])).
% 9.39/6.98 tff(27535,plain,
% 9.39/6.98 ((~(v138(constB49) | v142(constB49))) | v138(constB49) | v142(constB49)),
% 9.39/6.98 inference(tautology,[status(thm)],[])).
% 9.39/6.98 tff(27536,plain,
% 9.39/6.98 (~(v138(constB49) | v142(constB49))),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27535, 27534, 27513])).
% 9.39/6.98 tff(27537,plain,
% 9.39/6.98 ((~(v135(constB49) <=> (v138(constB49) | v142(constB49)))) | (~v135(constB49)) | (v138(constB49) | v142(constB49))),
% 9.39/6.98 inference(tautology,[status(thm)],[])).
% 9.39/6.98 tff(27538,plain,
% 9.39/6.98 (~v135(constB49)),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27537, 27536, 27440])).
% 9.39/6.98 tff(27539,plain,
% 9.39/6.98 ((~(v137(constB50) <=> v135(constB49))) | (~v137(constB50)) | v135(constB49)),
% 9.39/6.98 inference(tautology,[status(thm)],[])).
% 9.39/6.98 tff(27540,plain,
% 9.39/6.98 (~v137(constB50)),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27539, 27538, 27438])).
% 9.39/6.98 tff(27541,plain,
% 9.39/6.98 ((~(v132(constB50) <=> v137(constB50))) | (~v132(constB50)) | v137(constB50)),
% 9.39/6.98 inference(tautology,[status(thm)],[])).
% 9.39/6.98 tff(27542,plain,
% 9.39/6.98 (~v132(constB50)),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27541, 27540, 27434])).
% 9.39/6.98 tff(27543,plain,
% 9.39/6.98 (((~v132(constB50)) | (~v139(constB50))) | v132(constB50)),
% 9.39/6.98 inference(tautology,[status(thm)],[])).
% 9.39/6.98 tff(27544,plain,
% 9.39/6.98 ((~v132(constB50)) | (~v139(constB50))),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27543, 27542])).
% 9.39/6.98 tff(27545,plain,
% 9.39/6.98 ((~(v138(constB50) <=> (~((~v132(constB50)) | (~v139(constB50)))))) | (~v138(constB50)) | (~((~v132(constB50)) | (~v139(constB50))))),
% 9.39/6.98 inference(tautology,[status(thm)],[])).
% 9.39/6.98 tff(27546,plain,
% 9.39/6.98 (~v138(constB50)),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27545, 27544, 27432])).
% 9.39/6.98 tff(27547,plain,
% 9.39/6.98 ((~(v138(constB50) | v142(constB50))) | v138(constB50) | v142(constB50)),
% 9.39/6.98 inference(tautology,[status(thm)],[])).
% 9.39/6.98 tff(27548,plain,
% 9.39/6.98 (~(v138(constB50) | v142(constB50))),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27547, 27546, 27425])).
% 9.39/6.98 tff(27549,plain,
% 9.39/6.98 ((~(v135(constB50) <=> (v138(constB50) | v142(constB50)))) | (~v135(constB50)) | (v138(constB50) | v142(constB50))),
% 9.39/6.98 inference(tautology,[status(thm)],[])).
% 9.39/6.98 tff(27550,plain,
% 9.39/6.98 (~v135(constB50)),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27549, 27548, 27400])).
% 9.39/6.98 tff(27551,plain,
% 9.39/6.98 ((~(v137(constB51) <=> v135(constB50))) | (~v137(constB51)) | v135(constB50)),
% 9.39/6.98 inference(tautology,[status(thm)],[])).
% 9.39/6.98 tff(27552,plain,
% 9.39/6.98 (~v137(constB51)),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27551, 27550, 27398])).
% 9.39/6.98 tff(27553,plain,
% 9.39/6.98 ((~(v132(constB51) <=> v137(constB51))) | (~v132(constB51)) | v137(constB51)),
% 9.39/6.98 inference(tautology,[status(thm)],[])).
% 9.39/6.98 tff(27554,plain,
% 9.39/6.98 (~v132(constB51)),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27553, 27552, 27394])).
% 9.39/6.98 tff(27555,plain,
% 9.39/6.98 (((~v132(constB51)) | (~v154(constB51))) | v132(constB51)),
% 9.39/6.98 inference(tautology,[status(thm)],[])).
% 9.39/6.98 tff(27556,plain,
% 9.39/6.98 ((~v132(constB51)) | (~v154(constB51))),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27555, 27554])).
% 9.39/6.98 tff(27557,plain,
% 9.39/6.98 ((~(v153(constB51) <=> (~((~v132(constB51)) | (~v154(constB51)))))) | (~v153(constB51)) | (~((~v132(constB51)) | (~v154(constB51))))),
% 9.39/6.98 inference(tautology,[status(thm)],[])).
% 9.39/6.98 tff(27558,plain,
% 9.39/6.98 (~v153(constB51)),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27557, 27556, 27392])).
% 9.39/6.98 tff(27559,plain,
% 9.39/6.98 ((~(v153(constB51) | v155(constB51))) | v153(constB51) | v155(constB51)),
% 9.39/6.98 inference(tautology,[status(thm)],[])).
% 9.39/6.98 tff(27560,plain,
% 9.39/6.98 (~(v153(constB51) | v155(constB51))),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27559, 27558, 27385])).
% 9.39/6.98 tff(27561,plain,
% 9.39/6.98 ((~(v150(constB51) <=> (v153(constB51) | v155(constB51)))) | (~v150(constB51)) | (v153(constB51) | v155(constB51))),
% 9.39/6.98 inference(tautology,[status(thm)],[])).
% 9.39/6.98 tff(27562,plain,
% 9.39/6.98 (~v150(constB51)),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27561, 27560, 27312])).
% 9.39/6.98 tff(27563,plain,
% 9.39/6.98 ((~(v152(constB52) <=> v150(constB51))) | (~v152(constB52)) | v150(constB51)),
% 9.39/6.98 inference(tautology,[status(thm)],[])).
% 9.39/6.98 tff(27564,plain,
% 9.39/6.98 (~v152(constB52)),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27563, 27562, 27310])).
% 9.39/6.98 tff(27565,plain,
% 9.39/6.98 ((~(v130(constB52) <=> v152(constB52))) | (~v130(constB52)) | v152(constB52)),
% 9.39/6.98 inference(tautology,[status(thm)],[])).
% 9.39/6.98 tff(27566,plain,
% 9.39/6.98 (~v130(constB52)),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27565, 27564, 27306])).
% 9.39/6.98 tff(27567,plain,
% 9.39/6.98 (((~v130(constB52)) | (~v139(constB52))) | v130(constB52)),
% 9.39/6.98 inference(tautology,[status(thm)],[])).
% 9.39/6.98 tff(27568,plain,
% 9.39/6.98 ((~v130(constB52)) | (~v139(constB52))),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27567, 27566])).
% 9.39/6.98 tff(27569,plain,
% 9.39/6.98 ((~(v155(constB52) <=> (~((~v130(constB52)) | (~v139(constB52)))))) | (~v155(constB52)) | (~((~v130(constB52)) | (~v139(constB52))))),
% 9.39/6.98 inference(tautology,[status(thm)],[])).
% 9.39/6.98 tff(27570,plain,
% 9.39/6.98 (~v155(constB52)),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27569, 27568, 27304])).
% 9.39/6.98 tff(27571,plain,
% 9.39/6.98 ((~(v153(constB52) | v155(constB52))) | v153(constB52) | v155(constB52)),
% 9.39/6.98 inference(tautology,[status(thm)],[])).
% 9.39/6.98 tff(27572,plain,
% 9.39/6.98 (~(v153(constB52) | v155(constB52))),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27571, 27570, 27297])).
% 9.39/6.98 tff(27573,plain,
% 9.39/6.98 ((~(v150(constB52) <=> (v153(constB52) | v155(constB52)))) | (~v150(constB52)) | (v153(constB52) | v155(constB52))),
% 9.39/6.98 inference(tautology,[status(thm)],[])).
% 9.39/6.98 tff(27574,plain,
% 9.39/6.98 (~v150(constB52)),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27573, 27572, 27262])).
% 9.39/6.98 tff(27575,plain,
% 9.39/6.98 ((~(v152(constB53) <=> v150(constB52))) | (~v152(constB53)) | v150(constB52)),
% 9.39/6.98 inference(tautology,[status(thm)],[])).
% 9.39/6.98 tff(27576,plain,
% 9.39/6.98 (~v152(constB53)),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27575, 27574, 27260])).
% 9.39/6.98 tff(27577,plain,
% 9.39/6.98 ((~(v130(constB53) <=> v152(constB53))) | (~v130(constB53)) | v152(constB53)),
% 9.39/6.98 inference(tautology,[status(thm)],[])).
% 9.39/6.98 tff(27578,plain,
% 9.39/6.98 (~v130(constB53)),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27577, 27576, 27256])).
% 9.39/6.98 tff(27579,plain,
% 9.39/6.98 (((~v130(constB53)) | (~v154(constB53))) | v130(constB53)),
% 9.39/6.98 inference(tautology,[status(thm)],[])).
% 9.39/6.98 tff(27580,plain,
% 9.39/6.98 ((~v130(constB53)) | (~v154(constB53))),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27579, 27578])).
% 9.39/6.98 tff(27581,plain,
% 9.39/6.98 ((~(v164(constB53) <=> (~((~v130(constB53)) | (~v154(constB53)))))) | (~v164(constB53)) | (~((~v130(constB53)) | (~v154(constB53))))),
% 9.39/6.98 inference(tautology,[status(thm)],[])).
% 9.39/6.98 tff(27582,plain,
% 9.39/6.98 (~v164(constB53)),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27581, 27580, 27254])).
% 9.39/6.98 tff(27583,plain,
% 9.39/6.98 ((~(v163(constB53) | v164(constB53))) | v163(constB53) | v164(constB53)),
% 9.39/6.98 inference(tautology,[status(thm)],[])).
% 9.39/6.98 tff(27584,plain,
% 9.39/6.98 (~(v163(constB53) | v164(constB53))),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27583, 27582, 27247])).
% 9.39/6.98 tff(27585,plain,
% 9.39/6.98 ((~(v160(constB53) <=> (v163(constB53) | v164(constB53)))) | (~v160(constB53)) | (v163(constB53) | v164(constB53))),
% 9.39/6.98 inference(tautology,[status(thm)],[])).
% 9.39/6.98 tff(27586,plain,
% 9.39/6.98 (~v160(constB53)),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27585, 27584, 27174])).
% 9.39/6.98 tff(27587,plain,
% 9.39/6.98 ((~(v162(constB54) <=> v160(constB53))) | (~v162(constB54)) | v160(constB53)),
% 9.39/6.98 inference(tautology,[status(thm)],[])).
% 9.39/6.98 tff(27588,plain,
% 9.39/6.98 (~v162(constB54)),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27587, 27586, 27172])).
% 9.39/6.98 tff(27589,plain,
% 9.39/6.98 ((~(v128(constB54) <=> v162(constB54))) | (~v128(constB54)) | v162(constB54)),
% 9.39/6.98 inference(tautology,[status(thm)],[])).
% 9.39/6.98 tff(27590,plain,
% 9.39/6.98 (~v128(constB54)),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27589, 27588, 27168])).
% 9.39/6.98 tff(27591,plain,
% 9.39/6.98 (((~v128(constB54)) | (~v139(constB54))) | v128(constB54)),
% 9.39/6.98 inference(tautology,[status(thm)],[])).
% 9.39/6.98 tff(27592,plain,
% 9.39/6.98 ((~v128(constB54)) | (~v139(constB54))),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27591, 27590])).
% 9.39/6.98 tff(27593,plain,
% 9.39/6.98 ((~(v163(constB54) <=> (~((~v128(constB54)) | (~v139(constB54)))))) | (~v163(constB54)) | (~((~v128(constB54)) | (~v139(constB54))))),
% 9.39/6.98 inference(tautology,[status(thm)],[])).
% 9.39/6.98 tff(27594,plain,
% 9.39/6.98 (~v163(constB54)),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27593, 27592, 27166])).
% 9.39/6.98 tff(27595,plain,
% 9.39/6.98 ((~(v163(constB54) | v164(constB54))) | v163(constB54) | v164(constB54)),
% 9.39/6.98 inference(tautology,[status(thm)],[])).
% 9.39/6.98 tff(27596,plain,
% 9.39/6.98 (~(v163(constB54) | v164(constB54))),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27595, 27594, 27159])).
% 9.39/6.98 tff(27597,plain,
% 9.39/6.98 ((~(v160(constB54) <=> (v163(constB54) | v164(constB54)))) | (~v160(constB54)) | (v163(constB54) | v164(constB54))),
% 9.39/6.98 inference(tautology,[status(thm)],[])).
% 9.39/6.98 tff(27598,plain,
% 9.39/6.98 (~v160(constB54)),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27597, 27596, 27124])).
% 9.39/6.98 tff(27599,plain,
% 9.39/6.98 ((~(v162(constB55) <=> v160(constB54))) | (~v162(constB55)) | v160(constB54)),
% 9.39/6.98 inference(tautology,[status(thm)],[])).
% 9.39/6.98 tff(27600,plain,
% 9.39/6.98 (~v162(constB55)),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27599, 27598, 27122])).
% 9.39/6.98 tff(27601,plain,
% 9.39/6.98 ($false),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27600, 27118])).
% 9.39/6.98 tff(27602,plain,(~(constB55 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.39/6.98 tff(27603,assumption,(constB159 = VarCurr!0), introduced(assumption)).
% 9.39/6.98 tff(27604,plain,
% 9.39/6.98 (v162(constB159) <=> v162(VarCurr!0)),
% 9.39/6.98 inference(monotonicity,[status(thm)],[27603])).
% 9.39/6.98 tff(27605,plain,
% 9.39/6.98 (v162(VarCurr!0) <=> v162(constB159)),
% 9.39/6.98 inference(symmetry,[status(thm)],[27604])).
% 9.39/6.98 tff(27606,plain,
% 9.39/6.98 (v162(constB159)),
% 9.39/6.98 inference(modus_ponens,[status(thm)],[59, 27605])).
% 9.39/6.98 tff(27607,plain,
% 9.39/6.98 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB158, constB159)) | (v162(constB159) <=> v160(constB158)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB158, constB159)) | (v162(constB159) <=> v160(constB158)))),
% 9.39/6.98 inference(rewrite,[status(thm)],[])).
% 9.39/6.98 tff(27608,plain,
% 9.39/6.98 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB158, constB159)) | (v162(constB159) <=> v160(constB158)))),
% 9.39/6.98 inference(quant_inst,[status(thm)],[])).
% 9.39/6.98 tff(27609,plain,
% 9.39/6.98 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB158, constB159)) | (v162(constB159) <=> v160(constB158))),
% 9.39/6.98 inference(modus_ponens,[status(thm)],[27608, 27607])).
% 9.39/6.98 tff(27610,plain,
% 9.39/6.98 (v162(constB159) <=> v160(constB158)),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27609, 2528, 70])).
% 9.39/6.98 tff(27611,plain,
% 9.39/6.98 ((~![VarCurr: $i] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB158) <=> (v163(constB158) | v164(constB158)))),
% 9.39/6.98 inference(quant_inst,[status(thm)],[])).
% 9.39/6.98 tff(27612,plain,
% 9.39/6.98 (v160(constB158) <=> (v163(constB158) | v164(constB158))),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27611, 84])).
% 9.39/6.98 tff(27613,plain,
% 9.39/6.98 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB158) <=> (~((~v130(constB158)) | (~v154(constB158)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB158) <=> (~((~v130(constB158)) | (~v154(constB158))))))),
% 9.39/6.98 inference(rewrite,[status(thm)],[])).
% 9.39/6.98 tff(27614,plain,
% 9.39/6.98 ((v164(constB158) <=> (~((~v154(constB158)) | (~v130(constB158))))) <=> (v164(constB158) <=> (~((~v130(constB158)) | (~v154(constB158)))))),
% 9.39/6.98 inference(rewrite,[status(thm)],[])).
% 9.39/6.98 tff(27615,plain,
% 9.39/6.98 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB158) <=> (~((~v154(constB158)) | (~v130(constB158)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB158) <=> (~((~v130(constB158)) | (~v154(constB158))))))),
% 9.39/6.98 inference(monotonicity,[status(thm)],[27614])).
% 9.39/6.98 tff(27616,plain,
% 9.39/6.98 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB158) <=> (~((~v154(constB158)) | (~v130(constB158)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB158) <=> (~((~v130(constB158)) | (~v154(constB158))))))),
% 9.39/6.98 inference(transitivity,[status(thm)],[27615, 27613])).
% 9.39/6.98 tff(27617,plain,
% 9.39/6.98 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB158) <=> (~((~v154(constB158)) | (~v130(constB158)))))),
% 9.39/6.98 inference(quant_inst,[status(thm)],[])).
% 9.39/6.98 tff(27618,plain,
% 9.39/6.98 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB158) <=> (~((~v130(constB158)) | (~v154(constB158)))))),
% 9.39/6.98 inference(modus_ponens,[status(thm)],[27617, 27616])).
% 9.39/6.98 tff(27619,plain,
% 9.39/6.98 (v164(constB158) <=> (~((~v130(constB158)) | (~v154(constB158))))),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27618, 96])).
% 9.39/6.98 tff(27620,plain,
% 9.39/6.98 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB158) <=> (~((~v141(constB158)) | (~v143(constB158)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB158) <=> (~((~v141(constB158)) | (~v143(constB158))))))),
% 9.39/6.98 inference(rewrite,[status(thm)],[])).
% 9.39/6.98 tff(27621,plain,
% 9.39/6.98 ((v154(constB158) <=> (~((~v143(constB158)) | (~v141(constB158))))) <=> (v154(constB158) <=> (~((~v141(constB158)) | (~v143(constB158)))))),
% 9.39/6.98 inference(rewrite,[status(thm)],[])).
% 9.39/6.98 tff(27622,plain,
% 9.39/6.98 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB158) <=> (~((~v143(constB158)) | (~v141(constB158)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB158) <=> (~((~v141(constB158)) | (~v143(constB158))))))),
% 9.39/6.98 inference(monotonicity,[status(thm)],[27621])).
% 9.39/6.98 tff(27623,plain,
% 9.39/6.98 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB158) <=> (~((~v143(constB158)) | (~v141(constB158)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB158) <=> (~((~v141(constB158)) | (~v143(constB158))))))),
% 9.39/6.98 inference(transitivity,[status(thm)],[27622, 27620])).
% 9.39/6.98 tff(27624,plain,
% 9.39/6.98 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB158) <=> (~((~v143(constB158)) | (~v141(constB158)))))),
% 9.39/6.98 inference(quant_inst,[status(thm)],[])).
% 9.39/6.98 tff(27625,plain,
% 9.39/6.98 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB158) <=> (~((~v141(constB158)) | (~v143(constB158)))))),
% 9.39/6.98 inference(modus_ponens,[status(thm)],[27624, 27623])).
% 9.39/6.98 tff(27626,plain,
% 9.39/6.98 (v154(constB158) <=> (~((~v141(constB158)) | (~v143(constB158))))),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27625, 113])).
% 9.39/6.98 tff(27627,plain,
% 9.39/6.98 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB158) <=> (~((~v39(constB158)) | (~v9(constB158)))))),
% 9.39/6.98 inference(quant_inst,[status(thm)],[])).
% 9.39/6.98 tff(27628,plain,
% 9.39/6.98 (v141(constB158) <=> (~((~v39(constB158)) | (~v9(constB158))))),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27627, 130])).
% 9.39/6.98 tff(27629,plain,
% 9.39/6.98 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB158)) <=> v1(constB158))),
% 9.39/6.98 inference(quant_inst,[status(thm)],[])).
% 9.39/6.98 tff(27630,plain,
% 9.39/6.98 ((~v39(constB158)) <=> v1(constB158)),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27629, 139])).
% 9.39/6.98 tff(27631,plain,
% 9.39/6.98 ((~((~v39(constB158)) <=> v1(constB158))) | (~v39(constB158)) | (~v1(constB158))),
% 9.39/6.98 inference(tautology,[status(thm)],[])).
% 9.39/6.98 tff(27632,plain,
% 9.39/6.98 ((~((~v39(constB158)) <=> v1(constB158))) | (~v39(constB158))),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27631, 2590])).
% 9.39/6.98 tff(27633,plain,
% 9.39/6.98 (~v39(constB158)),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27632, 27630])).
% 9.39/6.98 tff(27634,plain,
% 9.39/6.98 (((~v39(constB158)) | (~v9(constB158))) | v39(constB158)),
% 9.39/6.98 inference(tautology,[status(thm)],[])).
% 9.39/6.98 tff(27635,plain,
% 9.39/6.98 ((~v39(constB158)) | (~v9(constB158))),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27634, 27633])).
% 9.39/6.98 tff(27636,plain,
% 9.39/6.98 ((~(v141(constB158) <=> (~((~v39(constB158)) | (~v9(constB158)))))) | (~v141(constB158)) | (~((~v39(constB158)) | (~v9(constB158))))),
% 9.39/6.98 inference(tautology,[status(thm)],[])).
% 9.39/6.98 tff(27637,plain,
% 9.39/6.98 ((~(v141(constB158) <=> (~((~v39(constB158)) | (~v9(constB158)))))) | (~v141(constB158))),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27636, 27635])).
% 9.39/6.98 tff(27638,plain,
% 9.39/6.98 (~v141(constB158)),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27637, 27628])).
% 9.39/6.98 tff(27639,plain,
% 9.39/6.98 (((~v141(constB158)) | (~v143(constB158))) | v141(constB158)),
% 9.39/6.98 inference(tautology,[status(thm)],[])).
% 9.39/6.98 tff(27640,plain,
% 9.39/6.98 ((~v141(constB158)) | (~v143(constB158))),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27639, 27638])).
% 9.39/6.98 tff(27641,plain,
% 9.39/6.98 ((~(v154(constB158) <=> (~((~v141(constB158)) | (~v143(constB158)))))) | (~v154(constB158)) | (~((~v141(constB158)) | (~v143(constB158))))),
% 9.39/6.98 inference(tautology,[status(thm)],[])).
% 9.39/6.98 tff(27642,plain,
% 9.39/6.98 ((~(v154(constB158) <=> (~((~v141(constB158)) | (~v143(constB158)))))) | (~v154(constB158))),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27641, 27640])).
% 9.39/6.98 tff(27643,plain,
% 9.39/6.98 (~v154(constB158)),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27642, 27626])).
% 9.39/6.98 tff(27644,plain,
% 9.39/6.98 (((~v130(constB158)) | (~v154(constB158))) | v154(constB158)),
% 9.39/6.98 inference(tautology,[status(thm)],[])).
% 9.39/6.98 tff(27645,plain,
% 9.39/6.98 ((~v130(constB158)) | (~v154(constB158))),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27644, 27643])).
% 9.39/6.98 tff(27646,plain,
% 9.39/6.98 ((~(v164(constB158) <=> (~((~v130(constB158)) | (~v154(constB158)))))) | (~v164(constB158)) | (~((~v130(constB158)) | (~v154(constB158))))),
% 9.39/6.98 inference(tautology,[status(thm)],[])).
% 9.39/6.98 tff(27647,plain,
% 9.39/6.98 (~v164(constB158)),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27646, 27645, 27619])).
% 9.39/6.98 tff(27648,plain,
% 9.39/6.98 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB158) <=> (~((~v128(constB158)) | (~v139(constB158)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB158) <=> (~((~v128(constB158)) | (~v139(constB158))))))),
% 9.39/6.98 inference(rewrite,[status(thm)],[])).
% 9.39/6.98 tff(27649,plain,
% 9.39/6.98 ((v163(constB158) <=> (~((~v139(constB158)) | (~v128(constB158))))) <=> (v163(constB158) <=> (~((~v128(constB158)) | (~v139(constB158)))))),
% 9.39/6.98 inference(rewrite,[status(thm)],[])).
% 9.39/6.98 tff(27650,plain,
% 9.39/6.98 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB158) <=> (~((~v139(constB158)) | (~v128(constB158)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB158) <=> (~((~v128(constB158)) | (~v139(constB158))))))),
% 9.39/6.98 inference(monotonicity,[status(thm)],[27649])).
% 9.39/6.98 tff(27651,plain,
% 9.39/6.98 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB158) <=> (~((~v139(constB158)) | (~v128(constB158)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB158) <=> (~((~v128(constB158)) | (~v139(constB158))))))),
% 9.39/6.98 inference(transitivity,[status(thm)],[27650, 27648])).
% 9.39/6.98 tff(27652,plain,
% 9.39/6.98 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB158) <=> (~((~v139(constB158)) | (~v128(constB158)))))),
% 9.39/6.98 inference(quant_inst,[status(thm)],[])).
% 9.39/6.98 tff(27653,plain,
% 9.39/6.98 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB158) <=> (~((~v128(constB158)) | (~v139(constB158)))))),
% 9.39/6.98 inference(modus_ponens,[status(thm)],[27652, 27651])).
% 9.39/6.98 tff(27654,plain,
% 9.39/6.98 (v163(constB158) <=> (~((~v128(constB158)) | (~v139(constB158))))),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27653, 171])).
% 9.39/6.98 tff(27655,plain,
% 9.39/6.98 ((~![VarNext: $i] : (v128(VarNext) <=> v162(VarNext))) | (v128(constB158) <=> v162(constB158))),
% 9.39/6.98 inference(quant_inst,[status(thm)],[])).
% 9.39/6.98 tff(27656,plain,
% 9.39/6.98 (v128(constB158) <=> v162(constB158)),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27655, 13])).
% 9.39/6.98 tff(27657,plain,
% 9.39/6.98 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB157, constB158)) | (v162(constB158) <=> v160(constB157)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB157, constB158)) | (v162(constB158) <=> v160(constB157)))),
% 9.39/6.98 inference(rewrite,[status(thm)],[])).
% 9.39/6.98 tff(27658,plain,
% 9.39/6.98 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB157, constB158)) | (v162(constB158) <=> v160(constB157)))),
% 9.39/6.98 inference(quant_inst,[status(thm)],[])).
% 9.39/6.98 tff(27659,plain,
% 9.39/6.98 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB157, constB158)) | (v162(constB158) <=> v160(constB157))),
% 9.39/6.98 inference(modus_ponens,[status(thm)],[27658, 27657])).
% 9.39/6.98 tff(27660,plain,
% 9.39/6.98 (v162(constB158) <=> v160(constB157)),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27659, 2560, 70])).
% 9.39/6.98 tff(27661,plain,
% 9.39/6.98 ((~![VarCurr: $i] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB157) <=> (v163(constB157) | v164(constB157)))),
% 9.39/6.98 inference(quant_inst,[status(thm)],[])).
% 9.39/6.98 tff(27662,plain,
% 9.39/6.98 (v160(constB157) <=> (v163(constB157) | v164(constB157))),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27661, 84])).
% 9.39/6.98 tff(27663,plain,
% 9.39/6.98 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB157) <=> (~((~v128(constB157)) | (~v139(constB157)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB157) <=> (~((~v128(constB157)) | (~v139(constB157))))))),
% 9.39/6.98 inference(rewrite,[status(thm)],[])).
% 9.39/6.98 tff(27664,plain,
% 9.39/6.98 ((v163(constB157) <=> (~((~v139(constB157)) | (~v128(constB157))))) <=> (v163(constB157) <=> (~((~v128(constB157)) | (~v139(constB157)))))),
% 9.39/6.98 inference(rewrite,[status(thm)],[])).
% 9.39/6.98 tff(27665,plain,
% 9.39/6.98 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB157) <=> (~((~v139(constB157)) | (~v128(constB157)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB157) <=> (~((~v128(constB157)) | (~v139(constB157))))))),
% 9.39/6.98 inference(monotonicity,[status(thm)],[27664])).
% 9.39/6.98 tff(27666,plain,
% 9.39/6.98 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB157) <=> (~((~v139(constB157)) | (~v128(constB157)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB157) <=> (~((~v128(constB157)) | (~v139(constB157))))))),
% 9.39/6.98 inference(transitivity,[status(thm)],[27665, 27663])).
% 9.39/6.98 tff(27667,plain,
% 9.39/6.98 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB157) <=> (~((~v139(constB157)) | (~v128(constB157)))))),
% 9.39/6.98 inference(quant_inst,[status(thm)],[])).
% 9.39/6.98 tff(27668,plain,
% 9.39/6.98 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB157) <=> (~((~v128(constB157)) | (~v139(constB157)))))),
% 9.39/6.98 inference(modus_ponens,[status(thm)],[27667, 27666])).
% 9.39/6.98 tff(27669,plain,
% 9.39/6.98 (v163(constB157) <=> (~((~v128(constB157)) | (~v139(constB157))))),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27668, 171])).
% 9.39/6.98 tff(27670,plain,
% 9.39/6.98 ((~![VarCurr: $i] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB157)) <=> v140(constB157))),
% 9.39/6.98 inference(quant_inst,[status(thm)],[])).
% 9.39/6.98 tff(27671,plain,
% 9.39/6.98 ((~v139(constB157)) <=> v140(constB157)),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27670, 203])).
% 9.39/6.98 tff(27672,plain,
% 9.39/6.98 ((~![VarCurr: $i] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB157) <=> (v141(constB157) | v26(constB157)))),
% 9.39/6.98 inference(quant_inst,[status(thm)],[])).
% 9.39/6.98 tff(27673,plain,
% 9.39/6.98 (v140(constB157) <=> (v141(constB157) | v26(constB157))),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27672, 212])).
% 9.39/6.98 tff(27674,plain,
% 9.39/6.98 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB157) <=> (~((~v39(constB157)) | (~v9(constB157)))))),
% 9.39/6.98 inference(quant_inst,[status(thm)],[])).
% 9.39/6.98 tff(27675,plain,
% 9.39/6.98 (v141(constB157) <=> (~((~v39(constB157)) | (~v9(constB157))))),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27674, 130])).
% 9.39/6.98 tff(27676,plain,
% 9.39/6.98 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB157, constB158)) | (v13(constB158) <=> v9(constB157)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB157, constB158)) | (v13(constB158) <=> v9(constB157)))),
% 9.39/6.98 inference(rewrite,[status(thm)],[])).
% 9.39/6.98 tff(27677,plain,
% 9.39/6.98 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB157, constB158)) | (v13(constB158) <=> v9(constB157)))),
% 9.39/6.98 inference(quant_inst,[status(thm)],[])).
% 9.39/6.98 tff(27678,plain,
% 9.39/6.98 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB157, constB158)) | (v13(constB158) <=> v9(constB157))),
% 9.39/6.98 inference(modus_ponens,[status(thm)],[27677, 27676])).
% 9.39/6.98 tff(27679,plain,
% 9.39/6.98 (v13(constB158) <=> v9(constB157)),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27678, 2560, 226])).
% 9.39/6.98 tff(27680,plain,
% 9.39/6.98 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB158) <=> v13(constB158))),
% 9.39/6.98 inference(quant_inst,[status(thm)],[])).
% 9.39/6.98 tff(27681,plain,
% 9.39/6.98 (v6(constB158) <=> v13(constB158)),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27680, 240])).
% 9.39/6.98 tff(27682,plain,
% 9.39/6.98 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB158)) <=> v6(constB158))),
% 9.39/6.98 inference(quant_inst,[status(thm)],[])).
% 9.39/6.98 tff(27683,plain,
% 9.39/6.98 ((~v21(constB158)) <=> v6(constB158)),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27682, 249])).
% 9.39/6.98 tff(27684,plain,
% 9.39/6.98 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB158) <=> (v20(constB158) | v21(constB158)))),
% 9.39/6.98 inference(quant_inst,[status(thm)],[])).
% 9.39/6.98 tff(27685,plain,
% 9.39/6.98 (v19(constB158) <=> (v20(constB158) | v21(constB158))),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27684, 258])).
% 9.39/6.98 tff(27686,plain,
% 9.39/6.98 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB158) <=> (~((~v19(constB158)) | (~v22(constB158)))))),
% 9.39/6.98 inference(quant_inst,[status(thm)],[])).
% 9.39/6.98 tff(27687,plain,
% 9.39/6.98 (v18(constB158) <=> (~((~v19(constB158)) | (~v22(constB158))))),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27686, 270])).
% 9.39/6.98 tff(27688,plain,
% 9.39/6.98 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB158)) <=> v18(constB158))),
% 9.39/6.98 inference(quant_inst,[status(thm)],[])).
% 9.39/6.98 tff(27689,plain,
% 9.39/6.98 ((~v4(constB158)) <=> v18(constB158)),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27688, 279])).
% 9.39/6.98 tff(27690,plain,
% 9.39/6.98 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB158)),
% 9.39/6.98 inference(quant_inst,[status(thm)],[])).
% 9.39/6.98 tff(27691,plain,
% 9.39/6.98 (v4(constB158)),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27690, 288])).
% 9.39/6.98 tff(27692,plain,
% 9.39/6.98 ((~((~v4(constB158)) <=> v18(constB158))) | (~v4(constB158)) | (~v18(constB158))),
% 9.39/6.98 inference(tautology,[status(thm)],[])).
% 9.39/6.98 tff(27693,plain,
% 9.39/6.98 (~v18(constB158)),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27692, 27691, 27689])).
% 9.39/6.98 tff(27694,plain,
% 9.39/6.98 ((~(v18(constB158) <=> (~((~v19(constB158)) | (~v22(constB158)))))) | v18(constB158) | ((~v19(constB158)) | (~v22(constB158)))),
% 9.39/6.98 inference(tautology,[status(thm)],[])).
% 9.39/6.98 tff(27695,plain,
% 9.39/6.98 ((~v19(constB158)) | (~v22(constB158))),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27694, 27693, 27687])).
% 9.39/6.98 tff(27696,plain,
% 9.39/6.98 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB158) <=> (v1(constB158) | v6(constB158)))),
% 9.39/6.98 inference(quant_inst,[status(thm)],[])).
% 9.39/6.98 tff(27697,plain,
% 9.39/6.98 (v22(constB158) <=> (v1(constB158) | v6(constB158))),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27696, 301])).
% 9.39/6.98 tff(27698,plain,
% 9.39/6.98 ((v1(constB158) | v6(constB158)) | (~v1(constB158))),
% 9.39/6.98 inference(tautology,[status(thm)],[])).
% 9.39/6.98 tff(27699,plain,
% 9.39/6.98 (v1(constB158) | v6(constB158)),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27698, 2590])).
% 9.39/6.98 tff(27700,plain,
% 9.39/6.98 ((~(v22(constB158) <=> (v1(constB158) | v6(constB158)))) | v22(constB158) | (~(v1(constB158) | v6(constB158)))),
% 9.39/6.98 inference(tautology,[status(thm)],[])).
% 9.39/6.98 tff(27701,plain,
% 9.39/6.98 ((~(v22(constB158) <=> (v1(constB158) | v6(constB158)))) | v22(constB158)),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27700, 27699])).
% 9.39/6.98 tff(27702,plain,
% 9.39/6.98 (v22(constB158)),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27701, 27697])).
% 9.39/6.98 tff(27703,plain,
% 9.39/6.98 ((~((~v19(constB158)) | (~v22(constB158)))) | (~v19(constB158)) | (~v22(constB158))),
% 9.39/6.98 inference(tautology,[status(thm)],[])).
% 9.39/6.98 tff(27704,plain,
% 9.39/6.98 ((~((~v19(constB158)) | (~v22(constB158)))) | (~v19(constB158))),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27703, 27702])).
% 9.39/6.98 tff(27705,plain,
% 9.39/6.98 (~v19(constB158)),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27704, 27695])).
% 9.39/6.98 tff(27706,plain,
% 9.39/6.98 ((~(v19(constB158) <=> (v20(constB158) | v21(constB158)))) | v19(constB158) | (~(v20(constB158) | v21(constB158)))),
% 9.39/6.98 inference(tautology,[status(thm)],[])).
% 9.39/6.98 tff(27707,plain,
% 9.39/6.98 (~(v20(constB158) | v21(constB158))),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27706, 27705, 27685])).
% 9.39/6.98 tff(27708,plain,
% 9.39/6.98 ((v20(constB158) | v21(constB158)) | (~v21(constB158))),
% 9.39/6.98 inference(tautology,[status(thm)],[])).
% 9.39/6.98 tff(27709,plain,
% 9.39/6.98 (~v21(constB158)),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27708, 27707])).
% 9.39/6.98 tff(27710,plain,
% 9.39/6.98 ((~((~v21(constB158)) <=> v6(constB158))) | v21(constB158) | v6(constB158)),
% 9.39/6.98 inference(tautology,[status(thm)],[])).
% 9.39/6.98 tff(27711,plain,
% 9.39/6.98 (v6(constB158)),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27710, 27709, 27683])).
% 9.39/6.98 tff(27712,plain,
% 9.39/6.98 ((~(v6(constB158) <=> v13(constB158))) | (~v6(constB158)) | v13(constB158)),
% 9.39/6.98 inference(tautology,[status(thm)],[])).
% 9.39/6.98 tff(27713,plain,
% 9.39/6.98 (v13(constB158)),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27712, 27711, 27681])).
% 9.39/6.98 tff(27714,plain,
% 9.39/6.98 ((~(v13(constB158) <=> v9(constB157))) | (~v13(constB158)) | v9(constB157)),
% 9.39/6.98 inference(tautology,[status(thm)],[])).
% 9.39/6.98 tff(27715,plain,
% 9.39/6.98 (v9(constB157)),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27714, 27713, 27679])).
% 9.39/6.98 tff(27716,plain,
% 9.39/6.98 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB157)) <=> v1(constB157))),
% 9.39/6.98 inference(quant_inst,[status(thm)],[])).
% 9.39/6.98 tff(27717,plain,
% 9.39/6.98 ((~v39(constB157)) <=> v1(constB157)),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27716, 139])).
% 9.39/6.98 tff(27718,plain,
% 9.39/6.98 ((~((~v39(constB157)) <=> v1(constB157))) | v39(constB157) | v1(constB157)),
% 9.39/6.98 inference(tautology,[status(thm)],[])).
% 9.39/6.98 tff(27719,plain,
% 9.39/6.98 ((~((~v39(constB157)) <=> v1(constB157))) | v39(constB157)),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27718, 2582])).
% 9.39/6.98 tff(27720,plain,
% 9.39/6.98 (v39(constB157)),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27719, 27717])).
% 9.39/6.98 tff(27721,plain,
% 9.39/6.98 ((~((~v39(constB157)) | (~v9(constB157)))) | (~v39(constB157)) | (~v9(constB157))),
% 9.39/6.98 inference(tautology,[status(thm)],[])).
% 9.39/6.98 tff(27722,plain,
% 9.39/6.98 ((~((~v39(constB157)) | (~v9(constB157)))) | (~v9(constB157))),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27721, 27720])).
% 9.39/6.98 tff(27723,plain,
% 9.39/6.98 (~((~v39(constB157)) | (~v9(constB157)))),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27722, 27715])).
% 9.39/6.98 tff(27724,plain,
% 9.39/6.98 ((~(v141(constB157) <=> (~((~v39(constB157)) | (~v9(constB157)))))) | v141(constB157) | ((~v39(constB157)) | (~v9(constB157)))),
% 9.39/6.98 inference(tautology,[status(thm)],[])).
% 9.39/6.98 tff(27725,plain,
% 9.39/6.98 (v141(constB157)),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27724, 27723, 27675])).
% 9.39/6.98 tff(27726,plain,
% 9.39/6.98 ((v141(constB157) | v26(constB157)) | (~v141(constB157))),
% 9.39/6.98 inference(tautology,[status(thm)],[])).
% 9.39/6.98 tff(27727,plain,
% 9.39/6.98 (v141(constB157) | v26(constB157)),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27726, 27725])).
% 9.39/6.98 tff(27728,plain,
% 9.39/6.98 ((~(v140(constB157) <=> (v141(constB157) | v26(constB157)))) | v140(constB157) | (~(v141(constB157) | v26(constB157)))),
% 9.39/6.98 inference(tautology,[status(thm)],[])).
% 9.39/6.98 tff(27729,plain,
% 9.39/6.98 (v140(constB157)),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27728, 27727, 27673])).
% 9.39/6.98 tff(27730,plain,
% 9.39/6.98 ((~((~v139(constB157)) <=> v140(constB157))) | (~v139(constB157)) | (~v140(constB157))),
% 9.39/6.98 inference(tautology,[status(thm)],[])).
% 9.39/6.98 tff(27731,plain,
% 9.39/6.98 (~v139(constB157)),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27730, 27729, 27671])).
% 9.39/6.98 tff(27732,plain,
% 9.39/6.98 (((~v128(constB157)) | (~v139(constB157))) | v139(constB157)),
% 9.39/6.98 inference(tautology,[status(thm)],[])).
% 9.39/6.98 tff(27733,plain,
% 9.39/6.98 ((~v128(constB157)) | (~v139(constB157))),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27732, 27731])).
% 9.39/6.98 tff(27734,plain,
% 9.39/6.98 ((~(v163(constB157) <=> (~((~v128(constB157)) | (~v139(constB157)))))) | (~v163(constB157)) | (~((~v128(constB157)) | (~v139(constB157))))),
% 9.39/6.98 inference(tautology,[status(thm)],[])).
% 9.39/6.98 tff(27735,plain,
% 9.39/6.98 (~v163(constB157)),
% 9.39/6.98 inference(unit_resolution,[status(thm)],[27734, 27733, 27669])).
% 9.39/6.98 tff(27736,plain,
% 9.39/6.98 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB157) <=> (~((~v130(constB157)) | (~v154(constB157)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB157) <=> (~((~v130(constB157)) | (~v154(constB157))))))),
% 9.39/6.98 inference(rewrite,[status(thm)],[])).
% 9.39/6.98 tff(27737,plain,
% 9.39/6.98 ((v164(constB157) <=> (~((~v154(constB157)) | (~v130(constB157))))) <=> (v164(constB157) <=> (~((~v130(constB157)) | (~v154(constB157)))))),
% 9.39/6.98 inference(rewrite,[status(thm)],[])).
% 9.39/6.98 tff(27738,plain,
% 9.39/6.98 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB157) <=> (~((~v154(constB157)) | (~v130(constB157)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB157) <=> (~((~v130(constB157)) | (~v154(constB157))))))),
% 9.39/6.98 inference(monotonicity,[status(thm)],[27737])).
% 9.39/6.98 tff(27739,plain,
% 9.39/6.98 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB157) <=> (~((~v154(constB157)) | (~v130(constB157)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB157) <=> (~((~v130(constB157)) | (~v154(constB157))))))),
% 9.39/6.98 inference(transitivity,[status(thm)],[27738, 27736])).
% 9.39/6.98 tff(27740,plain,
% 9.39/6.98 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB157) <=> (~((~v154(constB157)) | (~v130(constB157)))))),
% 9.39/6.99 inference(quant_inst,[status(thm)],[])).
% 9.39/6.99 tff(27741,plain,
% 9.39/6.99 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB157) <=> (~((~v130(constB157)) | (~v154(constB157)))))),
% 9.39/6.99 inference(modus_ponens,[status(thm)],[27740, 27739])).
% 9.39/6.99 tff(27742,plain,
% 9.39/6.99 (v164(constB157) <=> (~((~v130(constB157)) | (~v154(constB157))))),
% 9.39/6.99 inference(unit_resolution,[status(thm)],[27741, 96])).
% 9.39/6.99 tff(27743,plain,
% 9.39/6.99 ((~![VarNext: $i] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB157) <=> v152(constB157))),
% 9.39/6.99 inference(quant_inst,[status(thm)],[])).
% 9.39/6.99 tff(27744,plain,
% 9.39/6.99 (v130(constB157) <=> v152(constB157)),
% 9.39/6.99 inference(unit_resolution,[status(thm)],[27743, 361])).
% 9.39/6.99 tff(27745,plain,
% 9.39/6.99 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB156, constB157)) | (v152(constB157) <=> v150(constB156)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB156, constB157)) | (v152(constB157) <=> v150(constB156)))),
% 9.39/6.99 inference(rewrite,[status(thm)],[])).
% 9.39/6.99 tff(27746,plain,
% 9.39/6.99 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB156, constB157)) | (v152(constB157) <=> v150(constB156)))),
% 9.39/6.99 inference(quant_inst,[status(thm)],[])).
% 9.39/6.99 tff(27747,plain,
% 9.39/6.99 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB156, constB157)) | (v152(constB157) <=> v150(constB156))),
% 9.39/6.99 inference(modus_ponens,[status(thm)],[27746, 27745])).
% 9.39/6.99 tff(27748,plain,
% 9.39/6.99 (v152(constB157) <=> v150(constB156)),
% 9.39/6.99 inference(unit_resolution,[status(thm)],[27747, 2615, 373])).
% 9.39/6.99 tff(27749,plain,
% 9.39/6.99 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v153(VarCurr) | v155(VarCurr)))) | (v150(constB156) <=> (v153(constB156) | v155(constB156)))),
% 9.39/6.99 inference(quant_inst,[status(thm)],[])).
% 9.39/6.99 tff(27750,plain,
% 9.39/6.99 (v150(constB156) <=> (v153(constB156) | v155(constB156))),
% 9.39/6.99 inference(unit_resolution,[status(thm)],[27749, 387])).
% 9.39/6.99 tff(27751,plain,
% 9.39/6.99 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB156) <=> (~((~v132(constB156)) | (~v154(constB156)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB156) <=> (~((~v132(constB156)) | (~v154(constB156))))))),
% 9.39/6.99 inference(rewrite,[status(thm)],[])).
% 9.39/6.99 tff(27752,plain,
% 9.39/6.99 ((v153(constB156) <=> (~((~v154(constB156)) | (~v132(constB156))))) <=> (v153(constB156) <=> (~((~v132(constB156)) | (~v154(constB156)))))),
% 9.39/6.99 inference(rewrite,[status(thm)],[])).
% 9.39/6.99 tff(27753,plain,
% 9.39/6.99 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB156) <=> (~((~v154(constB156)) | (~v132(constB156)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB156) <=> (~((~v132(constB156)) | (~v154(constB156))))))),
% 9.39/6.99 inference(monotonicity,[status(thm)],[27752])).
% 9.39/6.99 tff(27754,plain,
% 9.39/6.99 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB156) <=> (~((~v154(constB156)) | (~v132(constB156)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB156) <=> (~((~v132(constB156)) | (~v154(constB156))))))),
% 9.39/6.99 inference(transitivity,[status(thm)],[27753, 27751])).
% 9.39/6.99 tff(27755,plain,
% 9.39/6.99 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB156) <=> (~((~v154(constB156)) | (~v132(constB156)))))),
% 9.39/6.99 inference(quant_inst,[status(thm)],[])).
% 9.39/6.99 tff(27756,plain,
% 9.39/6.99 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB156) <=> (~((~v132(constB156)) | (~v154(constB156)))))),
% 9.39/6.99 inference(modus_ponens,[status(thm)],[27755, 27754])).
% 9.39/6.99 tff(27757,plain,
% 9.39/6.99 (v153(constB156) <=> (~((~v132(constB156)) | (~v154(constB156))))),
% 9.39/6.99 inference(unit_resolution,[status(thm)],[27756, 399])).
% 9.39/6.99 tff(27758,plain,
% 9.39/6.99 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB156) <=> (~((~v141(constB156)) | (~v143(constB156)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB156) <=> (~((~v141(constB156)) | (~v143(constB156))))))),
% 9.39/6.99 inference(rewrite,[status(thm)],[])).
% 9.39/6.99 tff(27759,plain,
% 9.39/6.99 ((v154(constB156) <=> (~((~v143(constB156)) | (~v141(constB156))))) <=> (v154(constB156) <=> (~((~v141(constB156)) | (~v143(constB156)))))),
% 9.39/6.99 inference(rewrite,[status(thm)],[])).
% 9.39/6.99 tff(27760,plain,
% 9.39/6.99 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB156) <=> (~((~v143(constB156)) | (~v141(constB156)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB156) <=> (~((~v141(constB156)) | (~v143(constB156))))))),
% 9.39/6.99 inference(monotonicity,[status(thm)],[27759])).
% 9.39/6.99 tff(27761,plain,
% 9.39/6.99 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB156) <=> (~((~v143(constB156)) | (~v141(constB156)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB156) <=> (~((~v141(constB156)) | (~v143(constB156))))))),
% 9.39/6.99 inference(transitivity,[status(thm)],[27760, 27758])).
% 9.39/6.99 tff(27762,plain,
% 9.39/6.99 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB156) <=> (~((~v143(constB156)) | (~v141(constB156)))))),
% 9.39/6.99 inference(quant_inst,[status(thm)],[])).
% 9.39/6.99 tff(27763,plain,
% 9.39/6.99 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB156) <=> (~((~v141(constB156)) | (~v143(constB156)))))),
% 9.39/6.99 inference(modus_ponens,[status(thm)],[27762, 27761])).
% 9.39/6.99 tff(27764,plain,
% 9.39/6.99 (v154(constB156) <=> (~((~v141(constB156)) | (~v143(constB156))))),
% 9.39/6.99 inference(unit_resolution,[status(thm)],[27763, 113])).
% 9.39/6.99 tff(27765,plain,
% 9.39/6.99 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB156) <=> (~((~v39(constB156)) | (~v9(constB156)))))),
% 9.39/6.99 inference(quant_inst,[status(thm)],[])).
% 9.39/6.99 tff(27766,plain,
% 9.39/6.99 (v141(constB156) <=> (~((~v39(constB156)) | (~v9(constB156))))),
% 9.39/6.99 inference(unit_resolution,[status(thm)],[27765, 130])).
% 9.39/6.99 tff(27767,plain,
% 9.39/6.99 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB156)) <=> v1(constB156))),
% 9.39/6.99 inference(quant_inst,[status(thm)],[])).
% 9.39/6.99 tff(27768,plain,
% 9.39/6.99 ((~v39(constB156)) <=> v1(constB156)),
% 9.39/6.99 inference(unit_resolution,[status(thm)],[27767, 139])).
% 9.39/6.99 tff(27769,plain,
% 9.39/6.99 ((~((~v39(constB156)) <=> v1(constB156))) | (~v39(constB156)) | (~v1(constB156))),
% 9.39/6.99 inference(tautology,[status(thm)],[])).
% 9.39/6.99 tff(27770,plain,
% 9.39/6.99 ((~((~v39(constB156)) <=> v1(constB156))) | (~v39(constB156))),
% 9.39/6.99 inference(unit_resolution,[status(thm)],[27769, 2677])).
% 9.39/6.99 tff(27771,plain,
% 9.39/6.99 (~v39(constB156)),
% 9.39/6.99 inference(unit_resolution,[status(thm)],[27770, 27768])).
% 9.39/6.99 tff(27772,plain,
% 9.39/6.99 (((~v39(constB156)) | (~v9(constB156))) | v39(constB156)),
% 9.39/6.99 inference(tautology,[status(thm)],[])).
% 9.39/6.99 tff(27773,plain,
% 9.39/6.99 ((~v39(constB156)) | (~v9(constB156))),
% 9.39/6.99 inference(unit_resolution,[status(thm)],[27772, 27771])).
% 9.39/6.99 tff(27774,plain,
% 9.39/6.99 ((~(v141(constB156) <=> (~((~v39(constB156)) | (~v9(constB156)))))) | (~v141(constB156)) | (~((~v39(constB156)) | (~v9(constB156))))),
% 9.39/6.99 inference(tautology,[status(thm)],[])).
% 9.39/6.99 tff(27775,plain,
% 9.39/6.99 ((~(v141(constB156) <=> (~((~v39(constB156)) | (~v9(constB156)))))) | (~v141(constB156))),
% 9.39/6.99 inference(unit_resolution,[status(thm)],[27774, 27773])).
% 9.39/6.99 tff(27776,plain,
% 9.39/6.99 (~v141(constB156)),
% 9.39/6.99 inference(unit_resolution,[status(thm)],[27775, 27766])).
% 9.39/6.99 tff(27777,plain,
% 9.39/6.99 (((~v141(constB156)) | (~v143(constB156))) | v141(constB156)),
% 9.39/6.99 inference(tautology,[status(thm)],[])).
% 9.39/6.99 tff(27778,plain,
% 9.39/6.99 ((~v141(constB156)) | (~v143(constB156))),
% 9.39/6.99 inference(unit_resolution,[status(thm)],[27777, 27776])).
% 9.39/6.99 tff(27779,plain,
% 9.39/6.99 ((~(v154(constB156) <=> (~((~v141(constB156)) | (~v143(constB156)))))) | (~v154(constB156)) | (~((~v141(constB156)) | (~v143(constB156))))),
% 9.39/6.99 inference(tautology,[status(thm)],[])).
% 9.39/6.99 tff(27780,plain,
% 9.39/6.99 ((~(v154(constB156) <=> (~((~v141(constB156)) | (~v143(constB156)))))) | (~v154(constB156))),
% 9.39/6.99 inference(unit_resolution,[status(thm)],[27779, 27778])).
% 9.39/6.99 tff(27781,plain,
% 9.39/6.99 (~v154(constB156)),
% 9.39/6.99 inference(unit_resolution,[status(thm)],[27780, 27764])).
% 9.39/6.99 tff(27782,plain,
% 9.39/6.99 (((~v132(constB156)) | (~v154(constB156))) | v154(constB156)),
% 9.39/6.99 inference(tautology,[status(thm)],[])).
% 9.39/6.99 tff(27783,plain,
% 9.39/6.99 ((~v132(constB156)) | (~v154(constB156))),
% 9.39/6.99 inference(unit_resolution,[status(thm)],[27782, 27781])).
% 9.39/6.99 tff(27784,plain,
% 9.39/6.99 ((~(v153(constB156) <=> (~((~v132(constB156)) | (~v154(constB156)))))) | (~v153(constB156)) | (~((~v132(constB156)) | (~v154(constB156))))),
% 9.39/6.99 inference(tautology,[status(thm)],[])).
% 9.39/6.99 tff(27785,plain,
% 9.39/6.99 (~v153(constB156)),
% 9.39/6.99 inference(unit_resolution,[status(thm)],[27784, 27783, 27757])).
% 9.39/6.99 tff(27786,plain,
% 9.39/6.99 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB156) <=> (~((~v130(constB156)) | (~v139(constB156)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB156) <=> (~((~v130(constB156)) | (~v139(constB156))))))),
% 9.39/6.99 inference(rewrite,[status(thm)],[])).
% 9.39/6.99 tff(27787,plain,
% 9.39/6.99 ((v155(constB156) <=> (~((~v139(constB156)) | (~v130(constB156))))) <=> (v155(constB156) <=> (~((~v130(constB156)) | (~v139(constB156)))))),
% 9.39/6.99 inference(rewrite,[status(thm)],[])).
% 9.39/6.99 tff(27788,plain,
% 9.39/6.99 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB156) <=> (~((~v139(constB156)) | (~v130(constB156)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB156) <=> (~((~v130(constB156)) | (~v139(constB156))))))),
% 9.39/6.99 inference(monotonicity,[status(thm)],[27787])).
% 9.39/6.99 tff(27789,plain,
% 9.39/6.99 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB156) <=> (~((~v139(constB156)) | (~v130(constB156)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB156) <=> (~((~v130(constB156)) | (~v139(constB156))))))),
% 9.39/6.99 inference(transitivity,[status(thm)],[27788, 27786])).
% 9.39/6.99 tff(27790,plain,
% 9.39/6.99 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB156) <=> (~((~v139(constB156)) | (~v130(constB156)))))),
% 9.39/6.99 inference(quant_inst,[status(thm)],[])).
% 9.39/6.99 tff(27791,plain,
% 9.39/6.99 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB156) <=> (~((~v130(constB156)) | (~v139(constB156)))))),
% 9.39/6.99 inference(modus_ponens,[status(thm)],[27790, 27789])).
% 9.39/6.99 tff(27792,plain,
% 9.39/6.99 (v155(constB156) <=> (~((~v130(constB156)) | (~v139(constB156))))),
% 9.39/6.99 inference(unit_resolution,[status(thm)],[27791, 447])).
% 9.39/6.99 tff(27793,plain,
% 9.39/6.99 ((~![VarNext: $i] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB156) <=> v152(constB156))),
% 9.39/6.99 inference(quant_inst,[status(thm)],[])).
% 9.39/6.99 tff(27794,plain,
% 9.39/6.99 (v130(constB156) <=> v152(constB156)),
% 9.39/6.99 inference(unit_resolution,[status(thm)],[27793, 361])).
% 9.39/6.99 tff(27795,plain,
% 9.39/6.99 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB155, constB156)) | (v152(constB156) <=> v150(constB155)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB155, constB156)) | (v152(constB156) <=> v150(constB155)))),
% 9.39/6.99 inference(rewrite,[status(thm)],[])).
% 9.39/6.99 tff(27796,plain,
% 9.39/6.99 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB155, constB156)) | (v152(constB156) <=> v150(constB155)))),
% 9.39/6.99 inference(quant_inst,[status(thm)],[])).
% 9.39/6.99 tff(27797,plain,
% 9.39/6.99 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB155, constB156)) | (v152(constB156) <=> v150(constB155))),
% 9.39/6.99 inference(modus_ponens,[status(thm)],[27796, 27795])).
% 9.39/6.99 tff(27798,plain,
% 9.39/6.99 (v152(constB156) <=> v150(constB155)),
% 9.39/6.99 inference(unit_resolution,[status(thm)],[27797, 2647, 373])).
% 9.39/6.99 tff(27799,plain,
% 9.39/6.99 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v153(VarCurr) | v155(VarCurr)))) | (v150(constB155) <=> (v153(constB155) | v155(constB155)))),
% 9.39/6.99 inference(quant_inst,[status(thm)],[])).
% 9.39/6.99 tff(27800,plain,
% 9.39/6.99 (v150(constB155) <=> (v153(constB155) | v155(constB155))),
% 9.39/6.99 inference(unit_resolution,[status(thm)],[27799, 387])).
% 9.39/6.99 tff(27801,plain,
% 9.39/6.99 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB155) <=> (~((~v130(constB155)) | (~v139(constB155)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB155) <=> (~((~v130(constB155)) | (~v139(constB155))))))),
% 9.39/6.99 inference(rewrite,[status(thm)],[])).
% 9.39/6.99 tff(27802,plain,
% 9.39/6.99 ((v155(constB155) <=> (~((~v139(constB155)) | (~v130(constB155))))) <=> (v155(constB155) <=> (~((~v130(constB155)) | (~v139(constB155)))))),
% 9.39/6.99 inference(rewrite,[status(thm)],[])).
% 9.39/6.99 tff(27803,plain,
% 9.39/6.99 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB155) <=> (~((~v139(constB155)) | (~v130(constB155)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB155) <=> (~((~v130(constB155)) | (~v139(constB155))))))),
% 9.39/6.99 inference(monotonicity,[status(thm)],[27802])).
% 9.39/6.99 tff(27804,plain,
% 9.39/6.99 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB155) <=> (~((~v139(constB155)) | (~v130(constB155)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB155) <=> (~((~v130(constB155)) | (~v139(constB155))))))),
% 9.39/6.99 inference(transitivity,[status(thm)],[27803, 27801])).
% 9.39/6.99 tff(27805,plain,
% 9.39/6.99 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB155) <=> (~((~v139(constB155)) | (~v130(constB155)))))),
% 9.39/6.99 inference(quant_inst,[status(thm)],[])).
% 9.39/6.99 tff(27806,plain,
% 9.39/6.99 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB155) <=> (~((~v130(constB155)) | (~v139(constB155)))))),
% 9.39/6.99 inference(modus_ponens,[status(thm)],[27805, 27804])).
% 9.39/6.99 tff(27807,plain,
% 9.39/6.99 (v155(constB155) <=> (~((~v130(constB155)) | (~v139(constB155))))),
% 9.39/6.99 inference(unit_resolution,[status(thm)],[27806, 447])).
% 9.39/6.99 tff(27808,plain,
% 9.39/6.99 ((~![VarCurr: $i] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB155)) <=> v140(constB155))),
% 9.39/6.99 inference(quant_inst,[status(thm)],[])).
% 9.39/6.99 tff(27809,plain,
% 9.39/6.99 ((~v139(constB155)) <=> v140(constB155)),
% 9.39/6.99 inference(unit_resolution,[status(thm)],[27808, 203])).
% 9.39/6.99 tff(27810,plain,
% 9.39/6.99 ((~![VarCurr: $i] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB155) <=> (v141(constB155) | v26(constB155)))),
% 9.39/6.99 inference(quant_inst,[status(thm)],[])).
% 9.39/6.99 tff(27811,plain,
% 9.39/6.99 (v140(constB155) <=> (v141(constB155) | v26(constB155))),
% 9.39/6.99 inference(unit_resolution,[status(thm)],[27810, 212])).
% 9.39/6.99 tff(27812,plain,
% 9.39/6.99 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB155) <=> (~((~v39(constB155)) | (~v9(constB155)))))),
% 9.39/6.99 inference(quant_inst,[status(thm)],[])).
% 9.39/6.99 tff(27813,plain,
% 9.39/6.99 (v141(constB155) <=> (~((~v39(constB155)) | (~v9(constB155))))),
% 9.39/6.99 inference(unit_resolution,[status(thm)],[27812, 130])).
% 9.39/6.99 tff(27814,plain,
% 9.39/6.99 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB155, constB156)) | (v13(constB156) <=> v9(constB155)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB155, constB156)) | (v13(constB156) <=> v9(constB155)))),
% 9.39/6.99 inference(rewrite,[status(thm)],[])).
% 9.39/6.99 tff(27815,plain,
% 9.39/6.99 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB155, constB156)) | (v13(constB156) <=> v9(constB155)))),
% 9.39/6.99 inference(quant_inst,[status(thm)],[])).
% 9.39/6.99 tff(27816,plain,
% 9.39/6.99 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB155, constB156)) | (v13(constB156) <=> v9(constB155))),
% 9.39/6.99 inference(modus_ponens,[status(thm)],[27815, 27814])).
% 9.39/6.99 tff(27817,plain,
% 9.39/6.99 (v13(constB156) <=> v9(constB155)),
% 9.39/6.99 inference(unit_resolution,[status(thm)],[27816, 2647, 226])).
% 9.39/6.99 tff(27818,plain,
% 9.39/6.99 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB156) <=> v13(constB156))),
% 9.39/6.99 inference(quant_inst,[status(thm)],[])).
% 9.39/6.99 tff(27819,plain,
% 9.39/6.99 (v6(constB156) <=> v13(constB156)),
% 9.39/6.99 inference(unit_resolution,[status(thm)],[27818, 240])).
% 9.39/6.99 tff(27820,plain,
% 9.39/6.99 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB156)) <=> v6(constB156))),
% 9.39/6.99 inference(quant_inst,[status(thm)],[])).
% 9.39/6.99 tff(27821,plain,
% 9.39/6.99 ((~v21(constB156)) <=> v6(constB156)),
% 9.39/6.99 inference(unit_resolution,[status(thm)],[27820, 249])).
% 9.39/6.99 tff(27822,plain,
% 9.39/6.99 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB156) <=> (v20(constB156) | v21(constB156)))),
% 9.39/6.99 inference(quant_inst,[status(thm)],[])).
% 9.39/6.99 tff(27823,plain,
% 9.39/6.99 (v19(constB156) <=> (v20(constB156) | v21(constB156))),
% 9.39/6.99 inference(unit_resolution,[status(thm)],[27822, 258])).
% 9.39/6.99 tff(27824,plain,
% 9.39/6.99 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB156) <=> (~((~v19(constB156)) | (~v22(constB156)))))),
% 9.39/6.99 inference(quant_inst,[status(thm)],[])).
% 9.39/6.99 tff(27825,plain,
% 9.39/6.99 (v18(constB156) <=> (~((~v19(constB156)) | (~v22(constB156))))),
% 9.39/6.99 inference(unit_resolution,[status(thm)],[27824, 270])).
% 9.39/6.99 tff(27826,plain,
% 9.39/6.99 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB156)) <=> v18(constB156))),
% 9.39/6.99 inference(quant_inst,[status(thm)],[])).
% 9.39/6.99 tff(27827,plain,
% 9.39/6.99 ((~v4(constB156)) <=> v18(constB156)),
% 9.39/6.99 inference(unit_resolution,[status(thm)],[27826, 279])).
% 9.39/6.99 tff(27828,plain,
% 9.39/6.99 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB156)),
% 9.39/6.99 inference(quant_inst,[status(thm)],[])).
% 9.39/6.99 tff(27829,plain,
% 9.39/6.99 (v4(constB156)),
% 9.39/6.99 inference(unit_resolution,[status(thm)],[27828, 288])).
% 9.39/6.99 tff(27830,plain,
% 9.39/6.99 ((~((~v4(constB156)) <=> v18(constB156))) | (~v4(constB156)) | (~v18(constB156))),
% 9.39/6.99 inference(tautology,[status(thm)],[])).
% 9.39/6.99 tff(27831,plain,
% 9.39/6.99 (~v18(constB156)),
% 9.39/6.99 inference(unit_resolution,[status(thm)],[27830, 27829, 27827])).
% 9.39/6.99 tff(27832,plain,
% 9.39/6.99 ((~(v18(constB156) <=> (~((~v19(constB156)) | (~v22(constB156)))))) | v18(constB156) | ((~v19(constB156)) | (~v22(constB156)))),
% 9.39/6.99 inference(tautology,[status(thm)],[])).
% 9.39/6.99 tff(27833,plain,
% 9.39/6.99 ((~v19(constB156)) | (~v22(constB156))),
% 9.39/6.99 inference(unit_resolution,[status(thm)],[27832, 27831, 27825])).
% 9.39/6.99 tff(27834,plain,
% 9.39/6.99 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB156) <=> (v1(constB156) | v6(constB156)))),
% 9.39/6.99 inference(quant_inst,[status(thm)],[])).
% 9.39/6.99 tff(27835,plain,
% 9.39/6.99 (v22(constB156) <=> (v1(constB156) | v6(constB156))),
% 9.39/6.99 inference(unit_resolution,[status(thm)],[27834, 301])).
% 9.39/6.99 tff(27836,plain,
% 9.39/6.99 ((v1(constB156) | v6(constB156)) | (~v1(constB156))),
% 9.39/6.99 inference(tautology,[status(thm)],[])).
% 9.39/6.99 tff(27837,plain,
% 9.39/6.99 (v1(constB156) | v6(constB156)),
% 9.39/6.99 inference(unit_resolution,[status(thm)],[27836, 2677])).
% 9.39/6.99 tff(27838,plain,
% 9.39/6.99 ((~(v22(constB156) <=> (v1(constB156) | v6(constB156)))) | v22(constB156) | (~(v1(constB156) | v6(constB156)))),
% 9.39/6.99 inference(tautology,[status(thm)],[])).
% 9.39/6.99 tff(27839,plain,
% 9.39/6.99 ((~(v22(constB156) <=> (v1(constB156) | v6(constB156)))) | v22(constB156)),
% 9.39/6.99 inference(unit_resolution,[status(thm)],[27838, 27837])).
% 9.39/6.99 tff(27840,plain,
% 9.39/6.99 (v22(constB156)),
% 9.39/6.99 inference(unit_resolution,[status(thm)],[27839, 27835])).
% 9.39/6.99 tff(27841,plain,
% 9.39/6.99 ((~((~v19(constB156)) | (~v22(constB156)))) | (~v19(constB156)) | (~v22(constB156))),
% 9.39/6.99 inference(tautology,[status(thm)],[])).
% 9.39/6.99 tff(27842,plain,
% 9.39/6.99 ((~((~v19(constB156)) | (~v22(constB156)))) | (~v19(constB156))),
% 9.39/6.99 inference(unit_resolution,[status(thm)],[27841, 27840])).
% 9.39/6.99 tff(27843,plain,
% 9.39/6.99 (~v19(constB156)),
% 9.39/6.99 inference(unit_resolution,[status(thm)],[27842, 27833])).
% 9.39/6.99 tff(27844,plain,
% 9.39/6.99 ((~(v19(constB156) <=> (v20(constB156) | v21(constB156)))) | v19(constB156) | (~(v20(constB156) | v21(constB156)))),
% 9.39/6.99 inference(tautology,[status(thm)],[])).
% 9.39/6.99 tff(27845,plain,
% 9.39/6.99 (~(v20(constB156) | v21(constB156))),
% 9.39/6.99 inference(unit_resolution,[status(thm)],[27844, 27843, 27823])).
% 9.39/6.99 tff(27846,plain,
% 9.39/6.99 ((v20(constB156) | v21(constB156)) | (~v21(constB156))),
% 9.39/6.99 inference(tautology,[status(thm)],[])).
% 9.39/6.99 tff(27847,plain,
% 9.39/6.99 (~v21(constB156)),
% 9.39/6.99 inference(unit_resolution,[status(thm)],[27846, 27845])).
% 9.39/6.99 tff(27848,plain,
% 9.39/6.99 ((~((~v21(constB156)) <=> v6(constB156))) | v21(constB156) | v6(constB156)),
% 9.39/6.99 inference(tautology,[status(thm)],[])).
% 9.39/6.99 tff(27849,plain,
% 9.39/6.99 (v6(constB156)),
% 9.39/6.99 inference(unit_resolution,[status(thm)],[27848, 27847, 27821])).
% 9.39/6.99 tff(27850,plain,
% 9.39/6.99 ((~(v6(constB156) <=> v13(constB156))) | (~v6(constB156)) | v13(constB156)),
% 9.39/6.99 inference(tautology,[status(thm)],[])).
% 9.39/6.99 tff(27851,plain,
% 9.39/6.99 (v13(constB156)),
% 9.39/6.99 inference(unit_resolution,[status(thm)],[27850, 27849, 27819])).
% 9.39/6.99 tff(27852,plain,
% 9.39/6.99 ((~(v13(constB156) <=> v9(constB155))) | (~v13(constB156)) | v9(constB155)),
% 9.39/6.99 inference(tautology,[status(thm)],[])).
% 9.39/6.99 tff(27853,plain,
% 9.39/6.99 (v9(constB155)),
% 9.39/6.99 inference(unit_resolution,[status(thm)],[27852, 27851, 27817])).
% 9.39/6.99 tff(27854,plain,
% 9.39/6.99 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB155)) <=> v1(constB155))),
% 9.39/6.99 inference(quant_inst,[status(thm)],[])).
% 9.39/6.99 tff(27855,plain,
% 9.39/6.99 ((~v39(constB155)) <=> v1(constB155)),
% 9.39/6.99 inference(unit_resolution,[status(thm)],[27854, 139])).
% 9.39/6.99 tff(27856,plain,
% 9.39/6.99 ((~((~v39(constB155)) <=> v1(constB155))) | v39(constB155) | v1(constB155)),
% 9.39/6.99 inference(tautology,[status(thm)],[])).
% 9.39/6.99 tff(27857,plain,
% 9.39/6.99 ((~((~v39(constB155)) <=> v1(constB155))) | v39(constB155)),
% 9.39/6.99 inference(unit_resolution,[status(thm)],[27856, 2669])).
% 9.39/6.99 tff(27858,plain,
% 9.39/6.99 (v39(constB155)),
% 9.39/6.99 inference(unit_resolution,[status(thm)],[27857, 27855])).
% 9.39/6.99 tff(27859,plain,
% 9.39/6.99 ((~((~v39(constB155)) | (~v9(constB155)))) | (~v39(constB155)) | (~v9(constB155))),
% 9.39/6.99 inference(tautology,[status(thm)],[])).
% 9.39/6.99 tff(27860,plain,
% 9.39/6.99 ((~((~v39(constB155)) | (~v9(constB155)))) | (~v9(constB155))),
% 9.39/6.99 inference(unit_resolution,[status(thm)],[27859, 27858])).
% 9.39/6.99 tff(27861,plain,
% 9.39/6.99 (~((~v39(constB155)) | (~v9(constB155)))),
% 9.39/6.99 inference(unit_resolution,[status(thm)],[27860, 27853])).
% 9.39/6.99 tff(27862,plain,
% 9.39/6.99 ((~(v141(constB155) <=> (~((~v39(constB155)) | (~v9(constB155)))))) | v141(constB155) | ((~v39(constB155)) | (~v9(constB155)))),
% 9.39/6.99 inference(tautology,[status(thm)],[])).
% 9.39/6.99 tff(27863,plain,
% 9.39/6.99 (v141(constB155)),
% 9.39/6.99 inference(unit_resolution,[status(thm)],[27862, 27861, 27813])).
% 9.39/6.99 tff(27864,plain,
% 9.39/6.99 ((v141(constB155) | v26(constB155)) | (~v141(constB155))),
% 9.39/6.99 inference(tautology,[status(thm)],[])).
% 9.39/6.99 tff(27865,plain,
% 9.39/6.99 (v141(constB155) | v26(constB155)),
% 9.39/6.99 inference(unit_resolution,[status(thm)],[27864, 27863])).
% 9.39/6.99 tff(27866,plain,
% 9.39/6.99 ((~(v140(constB155) <=> (v141(constB155) | v26(constB155)))) | v140(constB155) | (~(v141(constB155) | v26(constB155)))),
% 9.39/6.99 inference(tautology,[status(thm)],[])).
% 9.39/6.99 tff(27867,plain,
% 9.39/6.99 (v140(constB155)),
% 9.39/6.99 inference(unit_resolution,[status(thm)],[27866, 27865, 27811])).
% 9.39/6.99 tff(27868,plain,
% 9.39/6.99 ((~((~v139(constB155)) <=> v140(constB155))) | (~v139(constB155)) | (~v140(constB155))),
% 9.39/6.99 inference(tautology,[status(thm)],[])).
% 9.39/6.99 tff(27869,plain,
% 9.39/6.99 (~v139(constB155)),
% 9.39/6.99 inference(unit_resolution,[status(thm)],[27868, 27867, 27809])).
% 9.39/6.99 tff(27870,plain,
% 9.39/6.99 (((~v130(constB155)) | (~v139(constB155))) | v139(constB155)),
% 9.39/6.99 inference(tautology,[status(thm)],[])).
% 9.39/6.99 tff(27871,plain,
% 9.39/6.99 ((~v130(constB155)) | (~v139(constB155))),
% 9.39/6.99 inference(unit_resolution,[status(thm)],[27870, 27869])).
% 9.39/6.99 tff(27872,plain,
% 9.39/6.99 ((~(v155(constB155) <=> (~((~v130(constB155)) | (~v139(constB155)))))) | (~v155(constB155)) | (~((~v130(constB155)) | (~v139(constB155))))),
% 9.39/6.99 inference(tautology,[status(thm)],[])).
% 9.39/6.99 tff(27873,plain,
% 9.39/6.99 (~v155(constB155)),
% 9.39/6.99 inference(unit_resolution,[status(thm)],[27872, 27871, 27807])).
% 9.39/6.99 tff(27874,plain,
% 9.39/6.99 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB155) <=> (~((~v132(constB155)) | (~v154(constB155)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB155) <=> (~((~v132(constB155)) | (~v154(constB155))))))),
% 9.39/6.99 inference(rewrite,[status(thm)],[])).
% 9.39/6.99 tff(27875,plain,
% 9.39/6.99 ((v153(constB155) <=> (~((~v154(constB155)) | (~v132(constB155))))) <=> (v153(constB155) <=> (~((~v132(constB155)) | (~v154(constB155)))))),
% 9.39/6.99 inference(rewrite,[status(thm)],[])).
% 9.39/6.99 tff(27876,plain,
% 9.39/6.99 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB155) <=> (~((~v154(constB155)) | (~v132(constB155)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB155) <=> (~((~v132(constB155)) | (~v154(constB155))))))),
% 9.39/6.99 inference(monotonicity,[status(thm)],[27875])).
% 9.39/6.99 tff(27877,plain,
% 9.39/6.99 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB155) <=> (~((~v154(constB155)) | (~v132(constB155)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB155) <=> (~((~v132(constB155)) | (~v154(constB155))))))),
% 9.39/6.99 inference(transitivity,[status(thm)],[27876, 27874])).
% 9.39/6.99 tff(27878,plain,
% 9.39/6.99 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB155) <=> (~((~v154(constB155)) | (~v132(constB155)))))),
% 9.39/6.99 inference(quant_inst,[status(thm)],[])).
% 9.39/6.99 tff(27879,plain,
% 9.39/6.99 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB155) <=> (~((~v132(constB155)) | (~v154(constB155)))))),
% 9.39/6.99 inference(modus_ponens,[status(thm)],[27878, 27877])).
% 9.39/6.99 tff(27880,plain,
% 9.39/6.99 (v153(constB155) <=> (~((~v132(constB155)) | (~v154(constB155))))),
% 9.39/6.99 inference(unit_resolution,[status(thm)],[27879, 399])).
% 9.39/6.99 tff(27881,plain,
% 9.39/6.99 ((~![VarNext: $i] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB155) <=> v137(constB155))),
% 9.39/6.99 inference(quant_inst,[status(thm)],[])).
% 9.39/6.99 tff(27882,plain,
% 9.39/6.99 (v132(constB155) <=> v137(constB155)),
% 9.39/6.99 inference(unit_resolution,[status(thm)],[27881, 558])).
% 9.39/6.99 tff(27883,plain,
% 9.39/6.99 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB154, constB155)) | (v137(constB155) <=> v135(constB154)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB154, constB155)) | (v137(constB155) <=> v135(constB154)))),
% 9.39/6.99 inference(rewrite,[status(thm)],[])).
% 9.39/6.99 tff(27884,plain,
% 9.39/6.99 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB154, constB155)) | (v137(constB155) <=> v135(constB154)))),
% 9.39/6.99 inference(quant_inst,[status(thm)],[])).
% 9.39/6.99 tff(27885,plain,
% 9.39/6.99 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB154, constB155)) | (v137(constB155) <=> v135(constB154))),
% 9.39/6.99 inference(modus_ponens,[status(thm)],[27884, 27883])).
% 9.39/6.99 tff(27886,plain,
% 9.39/6.99 (v137(constB155) <=> v135(constB154)),
% 9.39/6.99 inference(unit_resolution,[status(thm)],[27885, 2704, 570])).
% 9.39/6.99 tff(27887,plain,
% 9.39/6.99 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB154) <=> (v138(constB154) | v142(constB154)))),
% 9.39/6.99 inference(quant_inst,[status(thm)],[])).
% 9.39/6.99 tff(27888,plain,
% 9.39/6.99 (v135(constB154) <=> (v138(constB154) | v142(constB154))),
% 9.39/6.99 inference(unit_resolution,[status(thm)],[27887, 584])).
% 9.39/6.99 tff(27889,plain,
% 9.39/6.99 ((~![VarCurr: $i] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB154) <=> (~((~v143(constB154)) | (~v144(constB154)))))),
% 9.39/6.99 inference(quant_inst,[status(thm)],[])).
% 9.39/6.99 tff(27890,plain,
% 9.39/6.99 (v142(constB154) <=> (~((~v143(constB154)) | (~v144(constB154))))),
% 9.39/6.99 inference(unit_resolution,[status(thm)],[27889, 596])).
% 9.39/6.99 tff(27891,plain,
% 9.39/6.99 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB154) <=> (~((~v141(constB154)) | (~v145(constB154)))))),
% 9.39/6.99 inference(quant_inst,[status(thm)],[])).
% 9.39/6.99 tff(27892,plain,
% 9.39/6.99 (v144(constB154) <=> (~((~v141(constB154)) | (~v145(constB154))))),
% 9.39/6.99 inference(unit_resolution,[status(thm)],[27891, 608])).
% 9.39/6.99 tff(27893,plain,
% 9.39/6.99 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB154) <=> (~((~v39(constB154)) | (~v9(constB154)))))),
% 9.39/6.99 inference(quant_inst,[status(thm)],[])).
% 9.39/6.99 tff(27894,plain,
% 9.39/6.99 (v141(constB154) <=> (~((~v39(constB154)) | (~v9(constB154))))),
% 9.39/6.99 inference(unit_resolution,[status(thm)],[27893, 130])).
% 9.39/6.99 tff(27895,plain,
% 9.39/6.99 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB154)) <=> v1(constB154))),
% 9.39/6.99 inference(quant_inst,[status(thm)],[])).
% 9.39/6.99 tff(27896,plain,
% 9.39/6.99 ((~v39(constB154)) <=> v1(constB154)),
% 9.39/6.99 inference(unit_resolution,[status(thm)],[27895, 139])).
% 9.39/6.99 tff(27897,plain,
% 9.39/6.99 ((~((~v39(constB154)) <=> v1(constB154))) | (~v39(constB154)) | (~v1(constB154))),
% 9.39/6.99 inference(tautology,[status(thm)],[])).
% 9.39/6.99 tff(27898,plain,
% 9.39/6.99 ((~((~v39(constB154)) <=> v1(constB154))) | (~v39(constB154))),
% 9.39/6.99 inference(unit_resolution,[status(thm)],[27897, 2766])).
% 9.39/6.99 tff(27899,plain,
% 9.39/6.99 (~v39(constB154)),
% 9.39/6.99 inference(unit_resolution,[status(thm)],[27898, 27896])).
% 9.39/6.99 tff(27900,plain,
% 9.39/6.99 (((~v39(constB154)) | (~v9(constB154))) | v39(constB154)),
% 9.39/6.99 inference(tautology,[status(thm)],[])).
% 9.39/6.99 tff(27901,plain,
% 9.39/6.99 ((~v39(constB154)) | (~v9(constB154))),
% 9.39/6.99 inference(unit_resolution,[status(thm)],[27900, 27899])).
% 9.39/6.99 tff(27902,plain,
% 9.39/6.99 ((~(v141(constB154) <=> (~((~v39(constB154)) | (~v9(constB154)))))) | (~v141(constB154)) | (~((~v39(constB154)) | (~v9(constB154))))),
% 9.39/6.99 inference(tautology,[status(thm)],[])).
% 9.39/6.99 tff(27903,plain,
% 9.39/6.99 ((~(v141(constB154) <=> (~((~v39(constB154)) | (~v9(constB154)))))) | (~v141(constB154))),
% 9.39/6.99 inference(unit_resolution,[status(thm)],[27902, 27901])).
% 9.39/6.99 tff(27904,plain,
% 9.39/6.99 (~v141(constB154)),
% 9.39/6.99 inference(unit_resolution,[status(thm)],[27903, 27894])).
% 9.39/6.99 tff(27905,plain,
% 9.39/6.99 (((~v141(constB154)) | (~v145(constB154))) | v141(constB154)),
% 9.39/6.99 inference(tautology,[status(thm)],[])).
% 9.39/6.99 tff(27906,plain,
% 9.39/6.99 ((~v141(constB154)) | (~v145(constB154))),
% 9.39/6.99 inference(unit_resolution,[status(thm)],[27905, 27904])).
% 9.39/6.99 tff(27907,plain,
% 9.39/6.99 ((~(v144(constB154) <=> (~((~v141(constB154)) | (~v145(constB154)))))) | (~v144(constB154)) | (~((~v141(constB154)) | (~v145(constB154))))),
% 9.39/6.99 inference(tautology,[status(thm)],[])).
% 9.39/6.99 tff(27908,plain,
% 9.39/6.99 ((~(v144(constB154) <=> (~((~v141(constB154)) | (~v145(constB154)))))) | (~v144(constB154))),
% 9.39/6.99 inference(unit_resolution,[status(thm)],[27907, 27906])).
% 9.39/6.99 tff(27909,plain,
% 9.39/6.99 (~v144(constB154)),
% 9.39/6.99 inference(unit_resolution,[status(thm)],[27908, 27892])).
% 9.39/6.99 tff(27910,plain,
% 9.39/6.99 (((~v143(constB154)) | (~v144(constB154))) | v144(constB154)),
% 9.39/6.99 inference(tautology,[status(thm)],[])).
% 9.39/6.99 tff(27911,plain,
% 9.39/6.99 ((~v143(constB154)) | (~v144(constB154))),
% 9.39/6.99 inference(unit_resolution,[status(thm)],[27910, 27909])).
% 9.39/6.99 tff(27912,plain,
% 9.39/6.99 ((~(v142(constB154) <=> (~((~v143(constB154)) | (~v144(constB154)))))) | (~v142(constB154)) | (~((~v143(constB154)) | (~v144(constB154))))),
% 9.39/6.99 inference(tautology,[status(thm)],[])).
% 9.39/6.99 tff(27913,plain,
% 9.39/6.99 (~v142(constB154)),
% 9.39/6.99 inference(unit_resolution,[status(thm)],[27912, 27911, 27890])).
% 9.39/6.99 tff(27914,plain,
% 9.39/6.99 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB154) <=> (~((~v132(constB154)) | (~v139(constB154)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB154) <=> (~((~v132(constB154)) | (~v139(constB154))))))),
% 9.39/6.99 inference(rewrite,[status(thm)],[])).
% 9.39/6.99 tff(27915,plain,
% 9.39/6.99 ((v138(constB154) <=> (~((~v139(constB154)) | (~v132(constB154))))) <=> (v138(constB154) <=> (~((~v132(constB154)) | (~v139(constB154)))))),
% 9.39/6.99 inference(rewrite,[status(thm)],[])).
% 9.39/6.99 tff(27916,plain,
% 9.39/6.99 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB154) <=> (~((~v139(constB154)) | (~v132(constB154)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB154) <=> (~((~v132(constB154)) | (~v139(constB154))))))),
% 9.39/6.99 inference(monotonicity,[status(thm)],[27915])).
% 9.39/6.99 tff(27917,plain,
% 9.39/6.99 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB154) <=> (~((~v139(constB154)) | (~v132(constB154)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB154) <=> (~((~v132(constB154)) | (~v139(constB154))))))),
% 9.39/6.99 inference(transitivity,[status(thm)],[27916, 27914])).
% 9.39/6.99 tff(27918,plain,
% 9.39/6.99 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB154) <=> (~((~v139(constB154)) | (~v132(constB154)))))),
% 9.39/6.99 inference(quant_inst,[status(thm)],[])).
% 9.39/6.99 tff(27919,plain,
% 9.39/6.99 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB154) <=> (~((~v132(constB154)) | (~v139(constB154)))))),
% 9.39/6.99 inference(modus_ponens,[status(thm)],[27918, 27917])).
% 9.39/6.99 tff(27920,plain,
% 9.39/6.99 (v138(constB154) <=> (~((~v132(constB154)) | (~v139(constB154))))),
% 9.39/6.99 inference(unit_resolution,[status(thm)],[27919, 644])).
% 9.39/6.99 tff(27921,plain,
% 9.39/6.99 ((~![VarNext: $i] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB154) <=> v137(constB154))),
% 9.39/6.99 inference(quant_inst,[status(thm)],[])).
% 9.39/6.99 tff(27922,plain,
% 9.39/6.99 (v132(constB154) <=> v137(constB154)),
% 9.39/6.99 inference(unit_resolution,[status(thm)],[27921, 558])).
% 9.39/6.99 tff(27923,plain,
% 9.39/6.99 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB153, constB154)) | (v137(constB154) <=> v135(constB153)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB153, constB154)) | (v137(constB154) <=> v135(constB153)))),
% 9.39/6.99 inference(rewrite,[status(thm)],[])).
% 9.39/6.99 tff(27924,plain,
% 9.39/6.99 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB153, constB154)) | (v137(constB154) <=> v135(constB153)))),
% 9.39/6.99 inference(quant_inst,[status(thm)],[])).
% 9.39/6.99 tff(27925,plain,
% 9.39/6.99 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB153, constB154)) | (v137(constB154) <=> v135(constB153))),
% 9.39/6.99 inference(modus_ponens,[status(thm)],[27924, 27923])).
% 9.39/6.99 tff(27926,plain,
% 9.39/6.99 (v137(constB154) <=> v135(constB153)),
% 9.39/6.99 inference(unit_resolution,[status(thm)],[27925, 2736, 570])).
% 9.39/6.99 tff(27927,plain,
% 9.39/6.99 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB153) <=> (v138(constB153) | v142(constB153)))),
% 9.39/6.99 inference(quant_inst,[status(thm)],[])).
% 9.39/6.99 tff(27928,plain,
% 9.39/6.99 (v135(constB153) <=> (v138(constB153) | v142(constB153))),
% 9.39/6.99 inference(unit_resolution,[status(thm)],[27927, 584])).
% 9.39/6.99 tff(27929,plain,
% 9.39/6.99 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB153) <=> (~((~v132(constB153)) | (~v139(constB153)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB153) <=> (~((~v132(constB153)) | (~v139(constB153))))))),
% 9.39/6.99 inference(rewrite,[status(thm)],[])).
% 9.39/6.99 tff(27930,plain,
% 9.39/6.99 ((v138(constB153) <=> (~((~v139(constB153)) | (~v132(constB153))))) <=> (v138(constB153) <=> (~((~v132(constB153)) | (~v139(constB153)))))),
% 9.39/6.99 inference(rewrite,[status(thm)],[])).
% 9.39/6.99 tff(27931,plain,
% 9.39/6.99 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB153) <=> (~((~v139(constB153)) | (~v132(constB153)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB153) <=> (~((~v132(constB153)) | (~v139(constB153))))))),
% 9.39/6.99 inference(monotonicity,[status(thm)],[27930])).
% 9.39/6.99 tff(27932,plain,
% 9.39/6.99 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB153) <=> (~((~v139(constB153)) | (~v132(constB153)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB153) <=> (~((~v132(constB153)) | (~v139(constB153))))))),
% 9.39/6.99 inference(transitivity,[status(thm)],[27931, 27929])).
% 9.39/6.99 tff(27933,plain,
% 9.39/6.99 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB153) <=> (~((~v139(constB153)) | (~v132(constB153)))))),
% 9.39/6.99 inference(quant_inst,[status(thm)],[])).
% 9.39/6.99 tff(27934,plain,
% 9.39/6.99 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB153) <=> (~((~v132(constB153)) | (~v139(constB153)))))),
% 9.39/6.99 inference(modus_ponens,[status(thm)],[27933, 27932])).
% 9.39/6.99 tff(27935,plain,
% 9.39/6.99 (v138(constB153) <=> (~((~v132(constB153)) | (~v139(constB153))))),
% 9.39/6.99 inference(unit_resolution,[status(thm)],[27934, 644])).
% 9.39/6.99 tff(27936,plain,
% 9.39/6.99 ((~![VarCurr: $i] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB153)) <=> v140(constB153))),
% 9.39/6.99 inference(quant_inst,[status(thm)],[])).
% 9.39/6.99 tff(27937,plain,
% 9.39/6.99 ((~v139(constB153)) <=> v140(constB153)),
% 9.39/6.99 inference(unit_resolution,[status(thm)],[27936, 203])).
% 9.39/6.99 tff(27938,plain,
% 9.39/6.99 ((~![VarCurr: $i] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB153) <=> (v141(constB153) | v26(constB153)))),
% 9.39/6.99 inference(quant_inst,[status(thm)],[])).
% 9.39/6.99 tff(27939,plain,
% 9.39/6.99 (v140(constB153) <=> (v141(constB153) | v26(constB153))),
% 9.39/6.99 inference(unit_resolution,[status(thm)],[27938, 212])).
% 9.39/6.99 tff(27940,plain,
% 9.39/6.99 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB153) <=> (~((~v39(constB153)) | (~v9(constB153)))))),
% 9.39/6.99 inference(quant_inst,[status(thm)],[])).
% 9.39/6.99 tff(27941,plain,
% 9.39/6.99 (v141(constB153) <=> (~((~v39(constB153)) | (~v9(constB153))))),
% 9.39/6.99 inference(unit_resolution,[status(thm)],[27940, 130])).
% 9.39/6.99 tff(27942,plain,
% 9.39/6.99 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB153, constB154)) | (v13(constB154) <=> v9(constB153)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB153, constB154)) | (v13(constB154) <=> v9(constB153)))),
% 9.39/6.99 inference(rewrite,[status(thm)],[])).
% 9.39/6.99 tff(27943,plain,
% 9.39/6.99 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB153, constB154)) | (v13(constB154) <=> v9(constB153)))),
% 9.39/6.99 inference(quant_inst,[status(thm)],[])).
% 9.39/6.99 tff(27944,plain,
% 9.39/6.99 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB153, constB154)) | (v13(constB154) <=> v9(constB153))),
% 9.39/6.99 inference(modus_ponens,[status(thm)],[27943, 27942])).
% 9.39/6.99 tff(27945,plain,
% 9.39/6.99 (v13(constB154) <=> v9(constB153)),
% 9.39/6.99 inference(unit_resolution,[status(thm)],[27944, 2736, 226])).
% 9.39/6.99 tff(27946,plain,
% 9.39/6.99 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB154) <=> v13(constB154))),
% 9.39/6.99 inference(quant_inst,[status(thm)],[])).
% 9.39/6.99 tff(27947,plain,
% 9.39/6.99 (v6(constB154) <=> v13(constB154)),
% 9.39/6.99 inference(unit_resolution,[status(thm)],[27946, 240])).
% 9.39/6.99 tff(27948,plain,
% 9.39/6.99 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB154)) <=> v6(constB154))),
% 9.39/6.99 inference(quant_inst,[status(thm)],[])).
% 9.39/6.99 tff(27949,plain,
% 9.39/6.99 ((~v21(constB154)) <=> v6(constB154)),
% 9.39/6.99 inference(unit_resolution,[status(thm)],[27948, 249])).
% 9.39/6.99 tff(27950,plain,
% 9.39/6.99 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB154) <=> (v20(constB154) | v21(constB154)))),
% 9.39/6.99 inference(quant_inst,[status(thm)],[])).
% 9.39/6.99 tff(27951,plain,
% 9.39/6.99 (v19(constB154) <=> (v20(constB154) | v21(constB154))),
% 9.39/6.99 inference(unit_resolution,[status(thm)],[27950, 258])).
% 9.39/6.99 tff(27952,plain,
% 9.39/6.99 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB154) <=> (~((~v19(constB154)) | (~v22(constB154)))))),
% 9.39/6.99 inference(quant_inst,[status(thm)],[])).
% 9.39/6.99 tff(27953,plain,
% 9.39/6.99 (v18(constB154) <=> (~((~v19(constB154)) | (~v22(constB154))))),
% 9.39/6.99 inference(unit_resolution,[status(thm)],[27952, 270])).
% 9.39/7.00 tff(27954,plain,
% 9.39/7.00 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB154)) <=> v18(constB154))),
% 9.39/7.00 inference(quant_inst,[status(thm)],[])).
% 9.39/7.00 tff(27955,plain,
% 9.39/7.00 ((~v4(constB154)) <=> v18(constB154)),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[27954, 279])).
% 9.39/7.00 tff(27956,plain,
% 9.39/7.00 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB154)),
% 9.39/7.00 inference(quant_inst,[status(thm)],[])).
% 9.39/7.00 tff(27957,plain,
% 9.39/7.00 (v4(constB154)),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[27956, 288])).
% 9.39/7.00 tff(27958,plain,
% 9.39/7.00 ((~((~v4(constB154)) <=> v18(constB154))) | (~v4(constB154)) | (~v18(constB154))),
% 9.39/7.00 inference(tautology,[status(thm)],[])).
% 9.39/7.00 tff(27959,plain,
% 9.39/7.00 (~v18(constB154)),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[27958, 27957, 27955])).
% 9.39/7.00 tff(27960,plain,
% 9.39/7.00 ((~(v18(constB154) <=> (~((~v19(constB154)) | (~v22(constB154)))))) | v18(constB154) | ((~v19(constB154)) | (~v22(constB154)))),
% 9.39/7.00 inference(tautology,[status(thm)],[])).
% 9.39/7.00 tff(27961,plain,
% 9.39/7.00 ((~v19(constB154)) | (~v22(constB154))),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[27960, 27959, 27953])).
% 9.39/7.00 tff(27962,plain,
% 9.39/7.00 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB154) <=> (v1(constB154) | v6(constB154)))),
% 9.39/7.00 inference(quant_inst,[status(thm)],[])).
% 9.39/7.00 tff(27963,plain,
% 9.39/7.00 (v22(constB154) <=> (v1(constB154) | v6(constB154))),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[27962, 301])).
% 9.39/7.00 tff(27964,plain,
% 9.39/7.00 ((v1(constB154) | v6(constB154)) | (~v1(constB154))),
% 9.39/7.00 inference(tautology,[status(thm)],[])).
% 9.39/7.00 tff(27965,plain,
% 9.39/7.00 (v1(constB154) | v6(constB154)),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[27964, 2766])).
% 9.39/7.00 tff(27966,plain,
% 9.39/7.00 ((~(v22(constB154) <=> (v1(constB154) | v6(constB154)))) | v22(constB154) | (~(v1(constB154) | v6(constB154)))),
% 9.39/7.00 inference(tautology,[status(thm)],[])).
% 9.39/7.00 tff(27967,plain,
% 9.39/7.00 ((~(v22(constB154) <=> (v1(constB154) | v6(constB154)))) | v22(constB154)),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[27966, 27965])).
% 9.39/7.00 tff(27968,plain,
% 9.39/7.00 (v22(constB154)),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[27967, 27963])).
% 9.39/7.00 tff(27969,plain,
% 9.39/7.00 ((~((~v19(constB154)) | (~v22(constB154)))) | (~v19(constB154)) | (~v22(constB154))),
% 9.39/7.00 inference(tautology,[status(thm)],[])).
% 9.39/7.00 tff(27970,plain,
% 9.39/7.00 ((~((~v19(constB154)) | (~v22(constB154)))) | (~v19(constB154))),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[27969, 27968])).
% 9.39/7.00 tff(27971,plain,
% 9.39/7.00 (~v19(constB154)),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[27970, 27961])).
% 9.39/7.00 tff(27972,plain,
% 9.39/7.00 ((~(v19(constB154) <=> (v20(constB154) | v21(constB154)))) | v19(constB154) | (~(v20(constB154) | v21(constB154)))),
% 9.39/7.00 inference(tautology,[status(thm)],[])).
% 9.39/7.00 tff(27973,plain,
% 9.39/7.00 (~(v20(constB154) | v21(constB154))),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[27972, 27971, 27951])).
% 9.39/7.00 tff(27974,plain,
% 9.39/7.00 ((v20(constB154) | v21(constB154)) | (~v21(constB154))),
% 9.39/7.00 inference(tautology,[status(thm)],[])).
% 9.39/7.00 tff(27975,plain,
% 9.39/7.00 (~v21(constB154)),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[27974, 27973])).
% 9.39/7.00 tff(27976,plain,
% 9.39/7.00 ((~((~v21(constB154)) <=> v6(constB154))) | v21(constB154) | v6(constB154)),
% 9.39/7.00 inference(tautology,[status(thm)],[])).
% 9.39/7.00 tff(27977,plain,
% 9.39/7.00 (v6(constB154)),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[27976, 27975, 27949])).
% 9.39/7.00 tff(27978,plain,
% 9.39/7.00 ((~(v6(constB154) <=> v13(constB154))) | (~v6(constB154)) | v13(constB154)),
% 9.39/7.00 inference(tautology,[status(thm)],[])).
% 9.39/7.00 tff(27979,plain,
% 9.39/7.00 (v13(constB154)),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[27978, 27977, 27947])).
% 9.39/7.00 tff(27980,plain,
% 9.39/7.00 ((~(v13(constB154) <=> v9(constB153))) | (~v13(constB154)) | v9(constB153)),
% 9.39/7.00 inference(tautology,[status(thm)],[])).
% 9.39/7.00 tff(27981,plain,
% 9.39/7.00 (v9(constB153)),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[27980, 27979, 27945])).
% 9.39/7.00 tff(27982,plain,
% 9.39/7.00 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB153)) <=> v1(constB153))),
% 9.39/7.00 inference(quant_inst,[status(thm)],[])).
% 9.39/7.00 tff(27983,plain,
% 9.39/7.00 ((~v39(constB153)) <=> v1(constB153)),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[27982, 139])).
% 9.39/7.00 tff(27984,plain,
% 9.39/7.00 ((~((~v39(constB153)) <=> v1(constB153))) | v39(constB153) | v1(constB153)),
% 9.39/7.00 inference(tautology,[status(thm)],[])).
% 9.39/7.00 tff(27985,plain,
% 9.39/7.00 ((~((~v39(constB153)) <=> v1(constB153))) | v39(constB153)),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[27984, 2758])).
% 9.39/7.00 tff(27986,plain,
% 9.39/7.00 (v39(constB153)),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[27985, 27983])).
% 9.39/7.00 tff(27987,plain,
% 9.39/7.00 ((~((~v39(constB153)) | (~v9(constB153)))) | (~v39(constB153)) | (~v9(constB153))),
% 9.39/7.00 inference(tautology,[status(thm)],[])).
% 9.39/7.00 tff(27988,plain,
% 9.39/7.00 ((~((~v39(constB153)) | (~v9(constB153)))) | (~v9(constB153))),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[27987, 27986])).
% 9.39/7.00 tff(27989,plain,
% 9.39/7.00 (~((~v39(constB153)) | (~v9(constB153)))),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[27988, 27981])).
% 9.39/7.00 tff(27990,plain,
% 9.39/7.00 ((~(v141(constB153) <=> (~((~v39(constB153)) | (~v9(constB153)))))) | v141(constB153) | ((~v39(constB153)) | (~v9(constB153)))),
% 9.39/7.00 inference(tautology,[status(thm)],[])).
% 9.39/7.00 tff(27991,plain,
% 9.39/7.00 (v141(constB153)),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[27990, 27989, 27941])).
% 9.39/7.00 tff(27992,plain,
% 9.39/7.00 ((v141(constB153) | v26(constB153)) | (~v141(constB153))),
% 9.39/7.00 inference(tautology,[status(thm)],[])).
% 9.39/7.00 tff(27993,plain,
% 9.39/7.00 (v141(constB153) | v26(constB153)),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[27992, 27991])).
% 9.39/7.00 tff(27994,plain,
% 9.39/7.00 ((~(v140(constB153) <=> (v141(constB153) | v26(constB153)))) | v140(constB153) | (~(v141(constB153) | v26(constB153)))),
% 9.39/7.00 inference(tautology,[status(thm)],[])).
% 9.39/7.00 tff(27995,plain,
% 9.39/7.00 (v140(constB153)),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[27994, 27993, 27939])).
% 9.39/7.00 tff(27996,plain,
% 9.39/7.00 ((~((~v139(constB153)) <=> v140(constB153))) | (~v139(constB153)) | (~v140(constB153))),
% 9.39/7.00 inference(tautology,[status(thm)],[])).
% 9.39/7.00 tff(27997,plain,
% 9.39/7.00 (~v139(constB153)),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[27996, 27995, 27937])).
% 9.39/7.00 tff(27998,plain,
% 9.39/7.00 (((~v132(constB153)) | (~v139(constB153))) | v139(constB153)),
% 9.39/7.00 inference(tautology,[status(thm)],[])).
% 9.39/7.00 tff(27999,plain,
% 9.39/7.00 ((~v132(constB153)) | (~v139(constB153))),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[27998, 27997])).
% 9.39/7.00 tff(28000,plain,
% 9.39/7.00 ((~(v138(constB153) <=> (~((~v132(constB153)) | (~v139(constB153)))))) | (~v138(constB153)) | (~((~v132(constB153)) | (~v139(constB153))))),
% 9.39/7.00 inference(tautology,[status(thm)],[])).
% 9.39/7.00 tff(28001,plain,
% 9.39/7.00 (~v138(constB153)),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[28000, 27999, 27935])).
% 9.39/7.00 tff(28002,plain,
% 9.39/7.00 ((~![VarCurr: $i] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB153) <=> (~((~v143(constB153)) | (~v144(constB153)))))),
% 9.39/7.00 inference(quant_inst,[status(thm)],[])).
% 9.39/7.00 tff(28003,plain,
% 9.39/7.00 (v142(constB153) <=> (~((~v143(constB153)) | (~v144(constB153))))),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[28002, 596])).
% 9.39/7.00 tff(28004,plain,
% 9.39/7.00 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB153) <=> (~((~v141(constB153)) | (~v145(constB153)))))),
% 9.39/7.00 inference(quant_inst,[status(thm)],[])).
% 9.39/7.00 tff(28005,plain,
% 9.39/7.00 (v144(constB153) <=> (~((~v141(constB153)) | (~v145(constB153))))),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[28004, 608])).
% 9.39/7.00 tff(28006,plain,
% 9.39/7.00 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB153) <=> (~(v84(constB153, bitIndex2) | v84(constB153, bitIndex1) | (~v84(constB153, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB153) <=> (~(v84(constB153, bitIndex2) | v84(constB153, bitIndex1) | (~v84(constB153, bitIndex0))))))),
% 9.39/7.00 inference(rewrite,[status(thm)],[])).
% 9.39/7.00 tff(28007,plain,
% 9.39/7.00 ((v145(constB153) <=> (~(v84(constB153, bitIndex1) | v84(constB153, bitIndex2) | (~v84(constB153, bitIndex0))))) <=> (v145(constB153) <=> (~(v84(constB153, bitIndex2) | v84(constB153, bitIndex1) | (~v84(constB153, bitIndex0)))))),
% 9.39/7.00 inference(rewrite,[status(thm)],[])).
% 9.39/7.00 tff(28008,plain,
% 9.39/7.00 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB153) <=> (~(v84(constB153, bitIndex1) | v84(constB153, bitIndex2) | (~v84(constB153, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB153) <=> (~(v84(constB153, bitIndex2) | v84(constB153, bitIndex1) | (~v84(constB153, bitIndex0))))))),
% 9.39/7.00 inference(monotonicity,[status(thm)],[28007])).
% 9.39/7.00 tff(28009,plain,
% 9.39/7.00 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB153) <=> (~(v84(constB153, bitIndex1) | v84(constB153, bitIndex2) | (~v84(constB153, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB153) <=> (~(v84(constB153, bitIndex2) | v84(constB153, bitIndex1) | (~v84(constB153, bitIndex0))))))),
% 9.39/7.00 inference(transitivity,[status(thm)],[28008, 28006])).
% 9.39/7.00 tff(28010,plain,
% 9.39/7.00 ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB153) <=> (~(v84(constB153, bitIndex1) | v84(constB153, bitIndex2) | (~v84(constB153, bitIndex0)))))),
% 9.39/7.00 inference(quant_inst,[status(thm)],[])).
% 9.39/7.00 tff(28011,plain,
% 9.39/7.00 ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB153) <=> (~(v84(constB153, bitIndex2) | v84(constB153, bitIndex1) | (~v84(constB153, bitIndex0)))))),
% 9.39/7.00 inference(modus_ponens,[status(thm)],[28010, 28009])).
% 9.39/7.00 tff(28012,plain,
% 9.39/7.00 (v145(constB153) <=> (~(v84(constB153, bitIndex2) | v84(constB153, bitIndex1) | (~v84(constB153, bitIndex0))))),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[28011, 755])).
% 9.39/7.00 tff(28013,plain,
% 9.39/7.00 ((v84(constB153, bitIndex2) | v84(constB153, bitIndex1) | (~v84(constB153, bitIndex0))) | (~v84(constB153, bitIndex2))),
% 9.39/7.00 inference(tautology,[status(thm)],[])).
% 9.39/7.00 tff(28014,plain,
% 9.39/7.00 (v84(constB153, bitIndex2) | v84(constB153, bitIndex1) | (~v84(constB153, bitIndex0))),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[28013, 22246])).
% 9.39/7.00 tff(28015,plain,
% 9.39/7.00 ((~(v145(constB153) <=> (~(v84(constB153, bitIndex2) | v84(constB153, bitIndex1) | (~v84(constB153, bitIndex0)))))) | (~v145(constB153)) | (~(v84(constB153, bitIndex2) | v84(constB153, bitIndex1) | (~v84(constB153, bitIndex0))))),
% 9.39/7.00 inference(tautology,[status(thm)],[])).
% 9.39/7.00 tff(28016,plain,
% 9.39/7.00 (~v145(constB153)),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[28015, 28014, 28012])).
% 9.39/7.00 tff(28017,plain,
% 9.39/7.00 (((~v141(constB153)) | (~v145(constB153))) | v145(constB153)),
% 9.39/7.00 inference(tautology,[status(thm)],[])).
% 9.39/7.00 tff(28018,plain,
% 9.39/7.00 ((~v141(constB153)) | (~v145(constB153))),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[28017, 28016])).
% 9.39/7.00 tff(28019,plain,
% 9.39/7.00 ((~(v144(constB153) <=> (~((~v141(constB153)) | (~v145(constB153)))))) | (~v144(constB153)) | (~((~v141(constB153)) | (~v145(constB153))))),
% 9.39/7.00 inference(tautology,[status(thm)],[])).
% 9.39/7.00 tff(28020,plain,
% 9.39/7.00 (~v144(constB153)),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[28019, 28018, 28005])).
% 9.39/7.00 tff(28021,plain,
% 9.39/7.00 (((~v143(constB153)) | (~v144(constB153))) | v144(constB153)),
% 9.39/7.00 inference(tautology,[status(thm)],[])).
% 9.39/7.00 tff(28022,plain,
% 9.39/7.00 ((~v143(constB153)) | (~v144(constB153))),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[28021, 28020])).
% 9.39/7.00 tff(28023,plain,
% 9.39/7.00 ((~(v142(constB153) <=> (~((~v143(constB153)) | (~v144(constB153)))))) | (~v142(constB153)) | (~((~v143(constB153)) | (~v144(constB153))))),
% 9.39/7.00 inference(tautology,[status(thm)],[])).
% 9.39/7.00 tff(28024,plain,
% 9.39/7.00 (~v142(constB153)),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[28023, 28022, 28003])).
% 9.39/7.00 tff(28025,plain,
% 9.39/7.00 ((~(v138(constB153) | v142(constB153))) | v138(constB153) | v142(constB153)),
% 9.39/7.00 inference(tautology,[status(thm)],[])).
% 9.39/7.00 tff(28026,plain,
% 9.39/7.00 (~(v138(constB153) | v142(constB153))),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[28025, 28024, 28001])).
% 9.39/7.00 tff(28027,plain,
% 9.39/7.00 ((~(v135(constB153) <=> (v138(constB153) | v142(constB153)))) | (~v135(constB153)) | (v138(constB153) | v142(constB153))),
% 9.39/7.00 inference(tautology,[status(thm)],[])).
% 9.39/7.00 tff(28028,plain,
% 9.39/7.00 (~v135(constB153)),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[28027, 28026, 27928])).
% 9.39/7.00 tff(28029,plain,
% 9.39/7.00 ((~(v137(constB154) <=> v135(constB153))) | (~v137(constB154)) | v135(constB153)),
% 9.39/7.00 inference(tautology,[status(thm)],[])).
% 9.39/7.00 tff(28030,plain,
% 9.39/7.00 (~v137(constB154)),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[28029, 28028, 27926])).
% 9.39/7.00 tff(28031,plain,
% 9.39/7.00 ((~(v132(constB154) <=> v137(constB154))) | (~v132(constB154)) | v137(constB154)),
% 9.39/7.00 inference(tautology,[status(thm)],[])).
% 9.39/7.00 tff(28032,plain,
% 9.39/7.00 (~v132(constB154)),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[28031, 28030, 27922])).
% 9.39/7.00 tff(28033,plain,
% 9.39/7.00 (((~v132(constB154)) | (~v139(constB154))) | v132(constB154)),
% 9.39/7.00 inference(tautology,[status(thm)],[])).
% 9.39/7.00 tff(28034,plain,
% 9.39/7.00 ((~v132(constB154)) | (~v139(constB154))),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[28033, 28032])).
% 9.39/7.00 tff(28035,plain,
% 9.39/7.00 ((~(v138(constB154) <=> (~((~v132(constB154)) | (~v139(constB154)))))) | (~v138(constB154)) | (~((~v132(constB154)) | (~v139(constB154))))),
% 9.39/7.00 inference(tautology,[status(thm)],[])).
% 9.39/7.00 tff(28036,plain,
% 9.39/7.00 (~v138(constB154)),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[28035, 28034, 27920])).
% 9.39/7.00 tff(28037,plain,
% 9.39/7.00 ((~(v138(constB154) | v142(constB154))) | v138(constB154) | v142(constB154)),
% 9.39/7.00 inference(tautology,[status(thm)],[])).
% 9.39/7.00 tff(28038,plain,
% 9.39/7.00 (~(v138(constB154) | v142(constB154))),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[28037, 28036, 27913])).
% 9.39/7.00 tff(28039,plain,
% 9.39/7.00 ((~(v135(constB154) <=> (v138(constB154) | v142(constB154)))) | (~v135(constB154)) | (v138(constB154) | v142(constB154))),
% 9.39/7.00 inference(tautology,[status(thm)],[])).
% 9.39/7.00 tff(28040,plain,
% 9.39/7.00 (~v135(constB154)),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[28039, 28038, 27888])).
% 9.39/7.00 tff(28041,plain,
% 9.39/7.00 ((~(v137(constB155) <=> v135(constB154))) | (~v137(constB155)) | v135(constB154)),
% 9.39/7.00 inference(tautology,[status(thm)],[])).
% 9.39/7.00 tff(28042,plain,
% 9.39/7.00 (~v137(constB155)),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[28041, 28040, 27886])).
% 9.39/7.00 tff(28043,plain,
% 9.39/7.00 ((~(v132(constB155) <=> v137(constB155))) | (~v132(constB155)) | v137(constB155)),
% 9.39/7.00 inference(tautology,[status(thm)],[])).
% 9.39/7.00 tff(28044,plain,
% 9.39/7.00 (~v132(constB155)),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[28043, 28042, 27882])).
% 9.39/7.00 tff(28045,plain,
% 9.39/7.00 (((~v132(constB155)) | (~v154(constB155))) | v132(constB155)),
% 9.39/7.00 inference(tautology,[status(thm)],[])).
% 9.39/7.00 tff(28046,plain,
% 9.39/7.00 ((~v132(constB155)) | (~v154(constB155))),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[28045, 28044])).
% 9.39/7.00 tff(28047,plain,
% 9.39/7.00 ((~(v153(constB155) <=> (~((~v132(constB155)) | (~v154(constB155)))))) | (~v153(constB155)) | (~((~v132(constB155)) | (~v154(constB155))))),
% 9.39/7.00 inference(tautology,[status(thm)],[])).
% 9.39/7.00 tff(28048,plain,
% 9.39/7.00 (~v153(constB155)),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[28047, 28046, 27880])).
% 9.39/7.00 tff(28049,plain,
% 9.39/7.00 ((~(v153(constB155) | v155(constB155))) | v153(constB155) | v155(constB155)),
% 9.39/7.00 inference(tautology,[status(thm)],[])).
% 9.39/7.00 tff(28050,plain,
% 9.39/7.00 (~(v153(constB155) | v155(constB155))),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[28049, 28048, 27873])).
% 9.39/7.00 tff(28051,plain,
% 9.39/7.00 ((~(v150(constB155) <=> (v153(constB155) | v155(constB155)))) | (~v150(constB155)) | (v153(constB155) | v155(constB155))),
% 9.39/7.00 inference(tautology,[status(thm)],[])).
% 9.39/7.00 tff(28052,plain,
% 9.39/7.00 (~v150(constB155)),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[28051, 28050, 27800])).
% 9.39/7.00 tff(28053,plain,
% 9.39/7.00 ((~(v152(constB156) <=> v150(constB155))) | (~v152(constB156)) | v150(constB155)),
% 9.39/7.00 inference(tautology,[status(thm)],[])).
% 9.39/7.00 tff(28054,plain,
% 9.39/7.00 (~v152(constB156)),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[28053, 28052, 27798])).
% 9.39/7.00 tff(28055,plain,
% 9.39/7.00 ((~(v130(constB156) <=> v152(constB156))) | (~v130(constB156)) | v152(constB156)),
% 9.39/7.00 inference(tautology,[status(thm)],[])).
% 9.39/7.00 tff(28056,plain,
% 9.39/7.00 (~v130(constB156)),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[28055, 28054, 27794])).
% 9.39/7.00 tff(28057,plain,
% 9.39/7.00 (((~v130(constB156)) | (~v139(constB156))) | v130(constB156)),
% 9.39/7.00 inference(tautology,[status(thm)],[])).
% 9.39/7.00 tff(28058,plain,
% 9.39/7.00 ((~v130(constB156)) | (~v139(constB156))),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[28057, 28056])).
% 9.39/7.00 tff(28059,plain,
% 9.39/7.00 ((~(v155(constB156) <=> (~((~v130(constB156)) | (~v139(constB156)))))) | (~v155(constB156)) | (~((~v130(constB156)) | (~v139(constB156))))),
% 9.39/7.00 inference(tautology,[status(thm)],[])).
% 9.39/7.00 tff(28060,plain,
% 9.39/7.00 (~v155(constB156)),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[28059, 28058, 27792])).
% 9.39/7.00 tff(28061,plain,
% 9.39/7.00 ((~(v153(constB156) | v155(constB156))) | v153(constB156) | v155(constB156)),
% 9.39/7.00 inference(tautology,[status(thm)],[])).
% 9.39/7.00 tff(28062,plain,
% 9.39/7.00 (~(v153(constB156) | v155(constB156))),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[28061, 28060, 27785])).
% 9.39/7.00 tff(28063,plain,
% 9.39/7.00 ((~(v150(constB156) <=> (v153(constB156) | v155(constB156)))) | (~v150(constB156)) | (v153(constB156) | v155(constB156))),
% 9.39/7.00 inference(tautology,[status(thm)],[])).
% 9.39/7.00 tff(28064,plain,
% 9.39/7.00 (~v150(constB156)),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[28063, 28062, 27750])).
% 9.39/7.00 tff(28065,plain,
% 9.39/7.00 ((~(v152(constB157) <=> v150(constB156))) | (~v152(constB157)) | v150(constB156)),
% 9.39/7.00 inference(tautology,[status(thm)],[])).
% 9.39/7.00 tff(28066,plain,
% 9.39/7.00 (~v152(constB157)),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[28065, 28064, 27748])).
% 9.39/7.00 tff(28067,plain,
% 9.39/7.00 ((~(v130(constB157) <=> v152(constB157))) | (~v130(constB157)) | v152(constB157)),
% 9.39/7.00 inference(tautology,[status(thm)],[])).
% 9.39/7.00 tff(28068,plain,
% 9.39/7.00 (~v130(constB157)),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[28067, 28066, 27744])).
% 9.39/7.00 tff(28069,plain,
% 9.39/7.00 (((~v130(constB157)) | (~v154(constB157))) | v130(constB157)),
% 9.39/7.00 inference(tautology,[status(thm)],[])).
% 9.39/7.00 tff(28070,plain,
% 9.39/7.00 ((~v130(constB157)) | (~v154(constB157))),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[28069, 28068])).
% 9.39/7.00 tff(28071,plain,
% 9.39/7.00 ((~(v164(constB157) <=> (~((~v130(constB157)) | (~v154(constB157)))))) | (~v164(constB157)) | (~((~v130(constB157)) | (~v154(constB157))))),
% 9.39/7.00 inference(tautology,[status(thm)],[])).
% 9.39/7.00 tff(28072,plain,
% 9.39/7.00 (~v164(constB157)),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[28071, 28070, 27742])).
% 9.39/7.00 tff(28073,plain,
% 9.39/7.00 ((~(v163(constB157) | v164(constB157))) | v163(constB157) | v164(constB157)),
% 9.39/7.00 inference(tautology,[status(thm)],[])).
% 9.39/7.00 tff(28074,plain,
% 9.39/7.00 (~(v163(constB157) | v164(constB157))),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[28073, 28072, 27735])).
% 9.39/7.00 tff(28075,plain,
% 9.39/7.00 ((~(v160(constB157) <=> (v163(constB157) | v164(constB157)))) | (~v160(constB157)) | (v163(constB157) | v164(constB157))),
% 9.39/7.00 inference(tautology,[status(thm)],[])).
% 9.39/7.00 tff(28076,plain,
% 9.39/7.00 (~v160(constB157)),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[28075, 28074, 27662])).
% 9.39/7.00 tff(28077,plain,
% 9.39/7.00 ((~(v162(constB158) <=> v160(constB157))) | (~v162(constB158)) | v160(constB157)),
% 9.39/7.00 inference(tautology,[status(thm)],[])).
% 9.39/7.00 tff(28078,plain,
% 9.39/7.00 (~v162(constB158)),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[28077, 28076, 27660])).
% 9.39/7.00 tff(28079,plain,
% 9.39/7.00 ((~(v128(constB158) <=> v162(constB158))) | (~v128(constB158)) | v162(constB158)),
% 9.39/7.00 inference(tautology,[status(thm)],[])).
% 9.39/7.00 tff(28080,plain,
% 9.39/7.00 (~v128(constB158)),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[28079, 28078, 27656])).
% 9.39/7.00 tff(28081,plain,
% 9.39/7.00 (((~v128(constB158)) | (~v139(constB158))) | v128(constB158)),
% 9.39/7.00 inference(tautology,[status(thm)],[])).
% 9.39/7.00 tff(28082,plain,
% 9.39/7.00 ((~v128(constB158)) | (~v139(constB158))),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[28081, 28080])).
% 9.39/7.00 tff(28083,plain,
% 9.39/7.00 ((~(v163(constB158) <=> (~((~v128(constB158)) | (~v139(constB158)))))) | (~v163(constB158)) | (~((~v128(constB158)) | (~v139(constB158))))),
% 9.39/7.00 inference(tautology,[status(thm)],[])).
% 9.39/7.00 tff(28084,plain,
% 9.39/7.00 (~v163(constB158)),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[28083, 28082, 27654])).
% 9.39/7.00 tff(28085,plain,
% 9.39/7.00 ((~(v163(constB158) | v164(constB158))) | v163(constB158) | v164(constB158)),
% 9.39/7.00 inference(tautology,[status(thm)],[])).
% 9.39/7.00 tff(28086,plain,
% 9.39/7.00 (~(v163(constB158) | v164(constB158))),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[28085, 28084, 27647])).
% 9.39/7.00 tff(28087,plain,
% 9.39/7.00 ((~(v160(constB158) <=> (v163(constB158) | v164(constB158)))) | (~v160(constB158)) | (v163(constB158) | v164(constB158))),
% 9.39/7.00 inference(tautology,[status(thm)],[])).
% 9.39/7.00 tff(28088,plain,
% 9.39/7.00 (~v160(constB158)),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[28087, 28086, 27612])).
% 9.39/7.00 tff(28089,plain,
% 9.39/7.00 ((~(v162(constB159) <=> v160(constB158))) | (~v162(constB159)) | v160(constB158)),
% 9.39/7.00 inference(tautology,[status(thm)],[])).
% 9.39/7.00 tff(28090,plain,
% 9.39/7.00 (~v162(constB159)),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[28089, 28088, 27610])).
% 9.39/7.00 tff(28091,plain,
% 9.39/7.00 ($false),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[28090, 27606])).
% 9.39/7.00 tff(28092,plain,(~(constB159 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.39/7.00 tff(28093,assumption,(constB117 = VarCurr!0), introduced(assumption)).
% 9.39/7.00 tff(28094,plain,
% 9.39/7.00 (v170(constB117) <=> v170(VarCurr!0)),
% 9.39/7.00 inference(monotonicity,[status(thm)],[28093])).
% 9.39/7.00 tff(28095,plain,
% 9.39/7.00 (v170(VarCurr!0) <=> v170(constB117)),
% 9.39/7.00 inference(symmetry,[status(thm)],[28094])).
% 9.39/7.00 tff(28096,plain,
% 9.39/7.00 (v170(constB117)),
% 9.39/7.00 inference(modus_ponens,[status(thm)],[26047, 28095])).
% 9.39/7.00 tff(28097,plain,
% 9.39/7.00 (((~![VarCurr: $i] : (v170(VarCurr) <=> (~((~v171(VarCurr)) | (~v141(VarCurr)))))) | (v170(constB117) <=> (~((~v141(constB117)) | (~v171(constB117)))))) <=> ((~![VarCurr: $i] : (v170(VarCurr) <=> (~((~v171(VarCurr)) | (~v141(VarCurr)))))) | (v170(constB117) <=> (~((~v141(constB117)) | (~v171(constB117))))))),
% 9.39/7.00 inference(rewrite,[status(thm)],[])).
% 9.39/7.00 tff(28098,plain,
% 9.39/7.00 ((v170(constB117) <=> (~((~v171(constB117)) | (~v141(constB117))))) <=> (v170(constB117) <=> (~((~v141(constB117)) | (~v171(constB117)))))),
% 9.39/7.00 inference(rewrite,[status(thm)],[])).
% 9.39/7.00 tff(28099,plain,
% 9.39/7.00 (((~![VarCurr: $i] : (v170(VarCurr) <=> (~((~v171(VarCurr)) | (~v141(VarCurr)))))) | (v170(constB117) <=> (~((~v171(constB117)) | (~v141(constB117)))))) <=> ((~![VarCurr: $i] : (v170(VarCurr) <=> (~((~v171(VarCurr)) | (~v141(VarCurr)))))) | (v170(constB117) <=> (~((~v141(constB117)) | (~v171(constB117))))))),
% 9.39/7.00 inference(monotonicity,[status(thm)],[28098])).
% 9.39/7.00 tff(28100,plain,
% 9.39/7.00 (((~![VarCurr: $i] : (v170(VarCurr) <=> (~((~v171(VarCurr)) | (~v141(VarCurr)))))) | (v170(constB117) <=> (~((~v171(constB117)) | (~v141(constB117)))))) <=> ((~![VarCurr: $i] : (v170(VarCurr) <=> (~((~v171(VarCurr)) | (~v141(VarCurr)))))) | (v170(constB117) <=> (~((~v141(constB117)) | (~v171(constB117))))))),
% 9.39/7.00 inference(transitivity,[status(thm)],[28099, 28097])).
% 9.39/7.00 tff(28101,plain,
% 9.39/7.00 ((~![VarCurr: $i] : (v170(VarCurr) <=> (~((~v171(VarCurr)) | (~v141(VarCurr)))))) | (v170(constB117) <=> (~((~v171(constB117)) | (~v141(constB117)))))),
% 9.39/7.00 inference(quant_inst,[status(thm)],[])).
% 9.39/7.00 tff(28102,plain,
% 9.39/7.00 ((~![VarCurr: $i] : (v170(VarCurr) <=> (~((~v171(VarCurr)) | (~v141(VarCurr)))))) | (v170(constB117) <=> (~((~v141(constB117)) | (~v171(constB117)))))),
% 9.39/7.00 inference(modus_ponens,[status(thm)],[28101, 28100])).
% 9.39/7.00 tff(28103,plain,
% 9.39/7.00 (v170(constB117) <=> (~((~v141(constB117)) | (~v171(constB117))))),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[28102, 26058])).
% 9.39/7.00 tff(28104,plain,
% 9.39/7.00 ((~![VarCurr: $i] : ((~v171(VarCurr)) <=> v172(VarCurr))) | ((~v171(constB117)) <=> v172(constB117))),
% 9.39/7.00 inference(quant_inst,[status(thm)],[])).
% 9.39/7.00 tff(28105,plain,
% 9.39/7.00 ((~v171(constB117)) <=> v172(constB117)),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[28104, 26072])).
% 9.39/7.00 tff(28106,plain,
% 9.39/7.00 (((~![VarCurr: $i] : (v172(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v172(constB117) <=> (~((~v84(constB117, bitIndex2)) | v84(constB117, bitIndex1) | v84(constB117, bitIndex0))))) <=> ((~![VarCurr: $i] : (v172(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v172(constB117) <=> (~((~v84(constB117, bitIndex2)) | v84(constB117, bitIndex1) | v84(constB117, bitIndex0)))))),
% 9.39/7.00 inference(rewrite,[status(thm)],[])).
% 9.39/7.00 tff(28107,plain,
% 9.39/7.00 ((v172(constB117) <=> (~(v84(constB117, bitIndex0) | v84(constB117, bitIndex1) | (~v84(constB117, bitIndex2))))) <=> (v172(constB117) <=> (~((~v84(constB117, bitIndex2)) | v84(constB117, bitIndex1) | v84(constB117, bitIndex0))))),
% 9.39/7.00 inference(rewrite,[status(thm)],[])).
% 9.39/7.00 tff(28108,plain,
% 9.39/7.00 (((~![VarCurr: $i] : (v172(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v172(constB117) <=> (~(v84(constB117, bitIndex0) | v84(constB117, bitIndex1) | (~v84(constB117, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v172(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v172(constB117) <=> (~((~v84(constB117, bitIndex2)) | v84(constB117, bitIndex1) | v84(constB117, bitIndex0)))))),
% 9.39/7.00 inference(monotonicity,[status(thm)],[28107])).
% 9.39/7.00 tff(28109,plain,
% 9.39/7.00 (((~![VarCurr: $i] : (v172(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v172(constB117) <=> (~(v84(constB117, bitIndex0) | v84(constB117, bitIndex1) | (~v84(constB117, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v172(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v172(constB117) <=> (~((~v84(constB117, bitIndex2)) | v84(constB117, bitIndex1) | v84(constB117, bitIndex0)))))),
% 9.39/7.00 inference(transitivity,[status(thm)],[28108, 28106])).
% 9.39/7.00 tff(28110,plain,
% 9.39/7.00 ((~![VarCurr: $i] : (v172(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v172(constB117) <=> (~(v84(constB117, bitIndex0) | v84(constB117, bitIndex1) | (~v84(constB117, bitIndex2)))))),
% 9.39/7.00 inference(quant_inst,[status(thm)],[])).
% 9.39/7.00 tff(28111,plain,
% 9.39/7.00 ((~![VarCurr: $i] : (v172(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v172(constB117) <=> (~((~v84(constB117, bitIndex2)) | v84(constB117, bitIndex1) | v84(constB117, bitIndex0))))),
% 9.39/7.00 inference(modus_ponens,[status(thm)],[28110, 28109])).
% 9.39/7.00 tff(28112,plain,
% 9.39/7.00 (v172(constB117) <=> (~((~v84(constB117, bitIndex2)) | v84(constB117, bitIndex1) | v84(constB117, bitIndex0)))),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[28111, 26087])).
% 9.39/7.00 tff(28113,plain,
% 9.39/7.00 ((~(v172(constB117) <=> (~((~v84(constB117, bitIndex2)) | v84(constB117, bitIndex1) | v84(constB117, bitIndex0))))) | v172(constB117) | ((~v84(constB117, bitIndex2)) | v84(constB117, bitIndex1) | v84(constB117, bitIndex0))),
% 9.39/7.00 inference(tautology,[status(thm)],[])).
% 9.39/7.00 tff(28114,plain,
% 9.39/7.00 (v172(constB117)),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[28113, 19397, 28112])).
% 9.39/7.00 tff(28115,plain,
% 9.39/7.00 ((~((~v171(constB117)) <=> v172(constB117))) | (~v171(constB117)) | (~v172(constB117))),
% 9.39/7.00 inference(tautology,[status(thm)],[])).
% 9.39/7.00 tff(28116,plain,
% 9.39/7.00 (~v171(constB117)),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[28115, 28114, 28105])).
% 9.39/7.00 tff(28117,plain,
% 9.39/7.00 (((~v141(constB117)) | (~v171(constB117))) | v171(constB117)),
% 9.39/7.00 inference(tautology,[status(thm)],[])).
% 9.39/7.00 tff(28118,plain,
% 9.39/7.00 ((~v141(constB117)) | (~v171(constB117))),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[28117, 28116])).
% 9.39/7.00 tff(28119,plain,
% 9.39/7.00 ((~(v170(constB117) <=> (~((~v141(constB117)) | (~v171(constB117)))))) | (~v170(constB117)) | (~((~v141(constB117)) | (~v171(constB117))))),
% 9.39/7.00 inference(tautology,[status(thm)],[])).
% 9.39/7.00 tff(28120,plain,
% 9.39/7.00 (~v170(constB117)),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[28119, 28118, 28103])).
% 9.39/7.00 tff(28121,plain,
% 9.39/7.00 ($false),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[28120, 28096])).
% 9.39/7.00 tff(28122,plain,(~(constB117 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.39/7.00 tff(28123,assumption,(constB91 = VarCurr!0), introduced(assumption)).
% 9.39/7.00 tff(28124,plain,
% 9.39/7.00 (v162(constB91) <=> v162(VarCurr!0)),
% 9.39/7.00 inference(monotonicity,[status(thm)],[28123])).
% 9.39/7.00 tff(28125,plain,
% 9.39/7.00 (v162(VarCurr!0) <=> v162(constB91)),
% 9.39/7.00 inference(symmetry,[status(thm)],[28124])).
% 9.39/7.00 tff(28126,plain,
% 9.39/7.00 (v162(constB91)),
% 9.39/7.00 inference(modus_ponens,[status(thm)],[59, 28125])).
% 9.39/7.00 tff(28127,plain,
% 9.39/7.00 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB90, constB91)) | (v162(constB91) <=> v160(constB90)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB90, constB91)) | (v162(constB91) <=> v160(constB90)))),
% 9.39/7.00 inference(rewrite,[status(thm)],[])).
% 9.39/7.00 tff(28128,plain,
% 9.39/7.00 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB90, constB91)) | (v162(constB91) <=> v160(constB90)))),
% 9.39/7.00 inference(quant_inst,[status(thm)],[])).
% 9.39/7.00 tff(28129,plain,
% 9.39/7.00 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB90, constB91)) | (v162(constB91) <=> v160(constB90))),
% 9.39/7.00 inference(modus_ponens,[status(thm)],[28128, 28127])).
% 9.39/7.00 tff(28130,plain,
% 9.39/7.00 (v162(constB91) <=> v160(constB90)),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[28129, 5618, 70])).
% 9.39/7.00 tff(28131,plain,
% 9.39/7.00 ((~![VarCurr: $i] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB90) <=> (v163(constB90) | v164(constB90)))),
% 9.39/7.00 inference(quant_inst,[status(thm)],[])).
% 9.39/7.00 tff(28132,plain,
% 9.39/7.00 (v160(constB90) <=> (v163(constB90) | v164(constB90))),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[28131, 84])).
% 9.39/7.00 tff(28133,plain,
% 9.39/7.00 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB90) <=> (~((~v130(constB90)) | (~v154(constB90)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB90) <=> (~((~v130(constB90)) | (~v154(constB90))))))),
% 9.39/7.00 inference(rewrite,[status(thm)],[])).
% 9.39/7.00 tff(28134,plain,
% 9.39/7.00 ((v164(constB90) <=> (~((~v154(constB90)) | (~v130(constB90))))) <=> (v164(constB90) <=> (~((~v130(constB90)) | (~v154(constB90)))))),
% 9.39/7.00 inference(rewrite,[status(thm)],[])).
% 9.39/7.00 tff(28135,plain,
% 9.39/7.00 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB90) <=> (~((~v154(constB90)) | (~v130(constB90)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB90) <=> (~((~v130(constB90)) | (~v154(constB90))))))),
% 9.39/7.00 inference(monotonicity,[status(thm)],[28134])).
% 9.39/7.00 tff(28136,plain,
% 9.39/7.00 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB90) <=> (~((~v154(constB90)) | (~v130(constB90)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB90) <=> (~((~v130(constB90)) | (~v154(constB90))))))),
% 9.39/7.00 inference(transitivity,[status(thm)],[28135, 28133])).
% 9.39/7.00 tff(28137,plain,
% 9.39/7.00 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB90) <=> (~((~v154(constB90)) | (~v130(constB90)))))),
% 9.39/7.00 inference(quant_inst,[status(thm)],[])).
% 9.39/7.00 tff(28138,plain,
% 9.39/7.00 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB90) <=> (~((~v130(constB90)) | (~v154(constB90)))))),
% 9.39/7.00 inference(modus_ponens,[status(thm)],[28137, 28136])).
% 9.39/7.00 tff(28139,plain,
% 9.39/7.00 (v164(constB90) <=> (~((~v130(constB90)) | (~v154(constB90))))),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[28138, 96])).
% 9.39/7.00 tff(28140,plain,
% 9.39/7.00 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB90) <=> (~((~v141(constB90)) | (~v143(constB90)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB90) <=> (~((~v141(constB90)) | (~v143(constB90))))))),
% 9.39/7.00 inference(rewrite,[status(thm)],[])).
% 9.39/7.00 tff(28141,plain,
% 9.39/7.00 ((v154(constB90) <=> (~((~v143(constB90)) | (~v141(constB90))))) <=> (v154(constB90) <=> (~((~v141(constB90)) | (~v143(constB90)))))),
% 9.39/7.00 inference(rewrite,[status(thm)],[])).
% 9.39/7.00 tff(28142,plain,
% 9.39/7.00 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB90) <=> (~((~v143(constB90)) | (~v141(constB90)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB90) <=> (~((~v141(constB90)) | (~v143(constB90))))))),
% 9.39/7.00 inference(monotonicity,[status(thm)],[28141])).
% 9.39/7.00 tff(28143,plain,
% 9.39/7.00 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB90) <=> (~((~v143(constB90)) | (~v141(constB90)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB90) <=> (~((~v141(constB90)) | (~v143(constB90))))))),
% 9.39/7.00 inference(transitivity,[status(thm)],[28142, 28140])).
% 9.39/7.00 tff(28144,plain,
% 9.39/7.00 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB90) <=> (~((~v143(constB90)) | (~v141(constB90)))))),
% 9.39/7.00 inference(quant_inst,[status(thm)],[])).
% 9.39/7.00 tff(28145,plain,
% 9.39/7.00 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB90) <=> (~((~v141(constB90)) | (~v143(constB90)))))),
% 9.39/7.00 inference(modus_ponens,[status(thm)],[28144, 28143])).
% 9.39/7.00 tff(28146,plain,
% 9.39/7.00 (v154(constB90) <=> (~((~v141(constB90)) | (~v143(constB90))))),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[28145, 113])).
% 9.39/7.00 tff(28147,plain,
% 9.39/7.00 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB90) <=> (~((~v39(constB90)) | (~v9(constB90)))))),
% 9.39/7.00 inference(quant_inst,[status(thm)],[])).
% 9.39/7.00 tff(28148,plain,
% 9.39/7.00 (v141(constB90) <=> (~((~v39(constB90)) | (~v9(constB90))))),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[28147, 130])).
% 9.39/7.00 tff(28149,plain,
% 9.39/7.00 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB90)) <=> v1(constB90))),
% 9.39/7.00 inference(quant_inst,[status(thm)],[])).
% 9.39/7.00 tff(28150,plain,
% 9.39/7.00 ((~v39(constB90)) <=> v1(constB90)),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[28149, 139])).
% 9.39/7.00 tff(28151,plain,
% 9.39/7.00 ((~((~v39(constB90)) <=> v1(constB90))) | (~v39(constB90)) | (~v1(constB90))),
% 9.39/7.00 inference(tautology,[status(thm)],[])).
% 9.39/7.00 tff(28152,plain,
% 9.39/7.00 ((~((~v39(constB90)) <=> v1(constB90))) | (~v39(constB90))),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[28151, 5680])).
% 9.39/7.00 tff(28153,plain,
% 9.39/7.00 (~v39(constB90)),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[28152, 28150])).
% 9.39/7.00 tff(28154,plain,
% 9.39/7.00 (((~v39(constB90)) | (~v9(constB90))) | v39(constB90)),
% 9.39/7.00 inference(tautology,[status(thm)],[])).
% 9.39/7.00 tff(28155,plain,
% 9.39/7.00 ((~v39(constB90)) | (~v9(constB90))),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[28154, 28153])).
% 9.39/7.00 tff(28156,plain,
% 9.39/7.00 ((~(v141(constB90) <=> (~((~v39(constB90)) | (~v9(constB90)))))) | (~v141(constB90)) | (~((~v39(constB90)) | (~v9(constB90))))),
% 9.39/7.00 inference(tautology,[status(thm)],[])).
% 9.39/7.00 tff(28157,plain,
% 9.39/7.00 ((~(v141(constB90) <=> (~((~v39(constB90)) | (~v9(constB90)))))) | (~v141(constB90))),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[28156, 28155])).
% 9.39/7.00 tff(28158,plain,
% 9.39/7.00 (~v141(constB90)),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[28157, 28148])).
% 9.39/7.00 tff(28159,plain,
% 9.39/7.00 (((~v141(constB90)) | (~v143(constB90))) | v141(constB90)),
% 9.39/7.00 inference(tautology,[status(thm)],[])).
% 9.39/7.00 tff(28160,plain,
% 9.39/7.00 ((~v141(constB90)) | (~v143(constB90))),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[28159, 28158])).
% 9.39/7.00 tff(28161,plain,
% 9.39/7.00 ((~(v154(constB90) <=> (~((~v141(constB90)) | (~v143(constB90)))))) | (~v154(constB90)) | (~((~v141(constB90)) | (~v143(constB90))))),
% 9.39/7.00 inference(tautology,[status(thm)],[])).
% 9.39/7.00 tff(28162,plain,
% 9.39/7.00 ((~(v154(constB90) <=> (~((~v141(constB90)) | (~v143(constB90)))))) | (~v154(constB90))),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[28161, 28160])).
% 9.39/7.00 tff(28163,plain,
% 9.39/7.00 (~v154(constB90)),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[28162, 28146])).
% 9.39/7.00 tff(28164,plain,
% 9.39/7.00 (((~v130(constB90)) | (~v154(constB90))) | v154(constB90)),
% 9.39/7.00 inference(tautology,[status(thm)],[])).
% 9.39/7.00 tff(28165,plain,
% 9.39/7.00 ((~v130(constB90)) | (~v154(constB90))),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[28164, 28163])).
% 9.39/7.00 tff(28166,plain,
% 9.39/7.00 ((~(v164(constB90) <=> (~((~v130(constB90)) | (~v154(constB90)))))) | (~v164(constB90)) | (~((~v130(constB90)) | (~v154(constB90))))),
% 9.39/7.00 inference(tautology,[status(thm)],[])).
% 9.39/7.00 tff(28167,plain,
% 9.39/7.00 (~v164(constB90)),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[28166, 28165, 28139])).
% 9.39/7.00 tff(28168,plain,
% 9.39/7.00 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB90) <=> (~((~v128(constB90)) | (~v139(constB90)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB90) <=> (~((~v128(constB90)) | (~v139(constB90))))))),
% 9.39/7.00 inference(rewrite,[status(thm)],[])).
% 9.39/7.00 tff(28169,plain,
% 9.39/7.00 ((v163(constB90) <=> (~((~v139(constB90)) | (~v128(constB90))))) <=> (v163(constB90) <=> (~((~v128(constB90)) | (~v139(constB90)))))),
% 9.39/7.00 inference(rewrite,[status(thm)],[])).
% 9.39/7.00 tff(28170,plain,
% 9.39/7.00 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB90) <=> (~((~v139(constB90)) | (~v128(constB90)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB90) <=> (~((~v128(constB90)) | (~v139(constB90))))))),
% 9.39/7.00 inference(monotonicity,[status(thm)],[28169])).
% 9.39/7.00 tff(28171,plain,
% 9.39/7.00 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB90) <=> (~((~v139(constB90)) | (~v128(constB90)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB90) <=> (~((~v128(constB90)) | (~v139(constB90))))))),
% 9.39/7.00 inference(transitivity,[status(thm)],[28170, 28168])).
% 9.39/7.00 tff(28172,plain,
% 9.39/7.00 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB90) <=> (~((~v139(constB90)) | (~v128(constB90)))))),
% 9.39/7.00 inference(quant_inst,[status(thm)],[])).
% 9.39/7.00 tff(28173,plain,
% 9.39/7.00 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB90) <=> (~((~v128(constB90)) | (~v139(constB90)))))),
% 9.39/7.00 inference(modus_ponens,[status(thm)],[28172, 28171])).
% 9.39/7.00 tff(28174,plain,
% 9.39/7.00 (v163(constB90) <=> (~((~v128(constB90)) | (~v139(constB90))))),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[28173, 171])).
% 9.39/7.00 tff(28175,plain,
% 9.39/7.00 ((~![VarNext: $i] : (v128(VarNext) <=> v162(VarNext))) | (v128(constB90) <=> v162(constB90))),
% 9.39/7.00 inference(quant_inst,[status(thm)],[])).
% 9.39/7.00 tff(28176,plain,
% 9.39/7.00 (v128(constB90) <=> v162(constB90)),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[28175, 13])).
% 9.39/7.00 tff(28177,plain,
% 9.39/7.00 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB89, constB90)) | (v162(constB90) <=> v160(constB89)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB89, constB90)) | (v162(constB90) <=> v160(constB89)))),
% 9.39/7.00 inference(rewrite,[status(thm)],[])).
% 9.39/7.00 tff(28178,plain,
% 9.39/7.00 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB89, constB90)) | (v162(constB90) <=> v160(constB89)))),
% 9.39/7.00 inference(quant_inst,[status(thm)],[])).
% 9.39/7.00 tff(28179,plain,
% 9.39/7.00 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB89, constB90)) | (v162(constB90) <=> v160(constB89))),
% 9.39/7.00 inference(modus_ponens,[status(thm)],[28178, 28177])).
% 9.39/7.00 tff(28180,plain,
% 9.39/7.00 (v162(constB90) <=> v160(constB89)),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[28179, 5650, 70])).
% 9.39/7.00 tff(28181,plain,
% 9.39/7.00 ((~![VarCurr: $i] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB89) <=> (v163(constB89) | v164(constB89)))),
% 9.39/7.00 inference(quant_inst,[status(thm)],[])).
% 9.39/7.00 tff(28182,plain,
% 9.39/7.00 (v160(constB89) <=> (v163(constB89) | v164(constB89))),
% 9.39/7.00 inference(unit_resolution,[status(thm)],[28181, 84])).
% 9.39/7.00 tff(28183,plain,
% 9.39/7.00 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB89) <=> (~((~v128(constB89)) | (~v139(constB89)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB89) <=> (~((~v128(constB89)) | (~v139(constB89))))))),
% 9.39/7.00 inference(rewrite,[status(thm)],[])).
% 9.39/7.00 tff(28184,plain,
% 9.39/7.00 ((v163(constB89) <=> (~((~v139(constB89)) | (~v128(constB89))))) <=> (v163(constB89) <=> (~((~v128(constB89)) | (~v139(constB89)))))),
% 9.39/7.00 inference(rewrite,[status(thm)],[])).
% 9.39/7.00 tff(28185,plain,
% 9.39/7.00 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB89) <=> (~((~v139(constB89)) | (~v128(constB89)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB89) <=> (~((~v128(constB89)) | (~v139(constB89))))))),
% 9.39/7.01 inference(monotonicity,[status(thm)],[28184])).
% 9.39/7.01 tff(28186,plain,
% 9.39/7.01 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB89) <=> (~((~v139(constB89)) | (~v128(constB89)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB89) <=> (~((~v128(constB89)) | (~v139(constB89))))))),
% 9.39/7.01 inference(transitivity,[status(thm)],[28185, 28183])).
% 9.39/7.01 tff(28187,plain,
% 9.39/7.01 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB89) <=> (~((~v139(constB89)) | (~v128(constB89)))))),
% 9.39/7.01 inference(quant_inst,[status(thm)],[])).
% 9.39/7.01 tff(28188,plain,
% 9.39/7.01 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB89) <=> (~((~v128(constB89)) | (~v139(constB89)))))),
% 9.39/7.01 inference(modus_ponens,[status(thm)],[28187, 28186])).
% 9.39/7.01 tff(28189,plain,
% 9.39/7.01 (v163(constB89) <=> (~((~v128(constB89)) | (~v139(constB89))))),
% 9.39/7.01 inference(unit_resolution,[status(thm)],[28188, 171])).
% 9.39/7.01 tff(28190,plain,
% 9.39/7.01 ((~![VarCurr: $i] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB89)) <=> v140(constB89))),
% 9.39/7.01 inference(quant_inst,[status(thm)],[])).
% 9.39/7.01 tff(28191,plain,
% 9.39/7.01 ((~v139(constB89)) <=> v140(constB89)),
% 9.39/7.01 inference(unit_resolution,[status(thm)],[28190, 203])).
% 9.39/7.01 tff(28192,plain,
% 9.39/7.01 ((~![VarCurr: $i] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB89) <=> (v141(constB89) | v26(constB89)))),
% 9.39/7.01 inference(quant_inst,[status(thm)],[])).
% 9.39/7.01 tff(28193,plain,
% 9.39/7.01 (v140(constB89) <=> (v141(constB89) | v26(constB89))),
% 9.39/7.01 inference(unit_resolution,[status(thm)],[28192, 212])).
% 9.39/7.01 tff(28194,plain,
% 9.39/7.01 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB89) <=> (~((~v39(constB89)) | (~v9(constB89)))))),
% 9.39/7.01 inference(quant_inst,[status(thm)],[])).
% 9.39/7.01 tff(28195,plain,
% 9.39/7.01 (v141(constB89) <=> (~((~v39(constB89)) | (~v9(constB89))))),
% 9.39/7.01 inference(unit_resolution,[status(thm)],[28194, 130])).
% 9.39/7.01 tff(28196,plain,
% 9.39/7.01 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB89, constB90)) | (v13(constB90) <=> v9(constB89)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB89, constB90)) | (v13(constB90) <=> v9(constB89)))),
% 9.39/7.01 inference(rewrite,[status(thm)],[])).
% 9.39/7.01 tff(28197,plain,
% 9.39/7.01 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB89, constB90)) | (v13(constB90) <=> v9(constB89)))),
% 9.39/7.01 inference(quant_inst,[status(thm)],[])).
% 9.39/7.01 tff(28198,plain,
% 9.39/7.01 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB89, constB90)) | (v13(constB90) <=> v9(constB89))),
% 9.39/7.01 inference(modus_ponens,[status(thm)],[28197, 28196])).
% 9.39/7.01 tff(28199,plain,
% 9.39/7.01 (v13(constB90) <=> v9(constB89)),
% 9.39/7.01 inference(unit_resolution,[status(thm)],[28198, 5650, 226])).
% 9.39/7.01 tff(28200,plain,
% 9.39/7.01 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB90) <=> v13(constB90))),
% 9.39/7.01 inference(quant_inst,[status(thm)],[])).
% 9.39/7.01 tff(28201,plain,
% 9.39/7.01 (v6(constB90) <=> v13(constB90)),
% 9.39/7.01 inference(unit_resolution,[status(thm)],[28200, 240])).
% 9.39/7.01 tff(28202,plain,
% 9.39/7.01 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB90)) <=> v6(constB90))),
% 9.39/7.01 inference(quant_inst,[status(thm)],[])).
% 9.39/7.01 tff(28203,plain,
% 9.39/7.01 ((~v21(constB90)) <=> v6(constB90)),
% 9.39/7.01 inference(unit_resolution,[status(thm)],[28202, 249])).
% 9.39/7.01 tff(28204,plain,
% 9.39/7.01 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB90) <=> (v20(constB90) | v21(constB90)))),
% 9.39/7.01 inference(quant_inst,[status(thm)],[])).
% 9.39/7.01 tff(28205,plain,
% 9.39/7.01 (v19(constB90) <=> (v20(constB90) | v21(constB90))),
% 9.39/7.01 inference(unit_resolution,[status(thm)],[28204, 258])).
% 9.39/7.01 tff(28206,plain,
% 9.39/7.01 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB90) <=> (~((~v19(constB90)) | (~v22(constB90)))))),
% 9.39/7.01 inference(quant_inst,[status(thm)],[])).
% 9.39/7.01 tff(28207,plain,
% 9.39/7.01 (v18(constB90) <=> (~((~v19(constB90)) | (~v22(constB90))))),
% 9.39/7.01 inference(unit_resolution,[status(thm)],[28206, 270])).
% 9.39/7.01 tff(28208,plain,
% 9.39/7.01 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB90)) <=> v18(constB90))),
% 9.39/7.01 inference(quant_inst,[status(thm)],[])).
% 9.39/7.01 tff(28209,plain,
% 9.39/7.01 ((~v4(constB90)) <=> v18(constB90)),
% 9.39/7.01 inference(unit_resolution,[status(thm)],[28208, 279])).
% 9.39/7.01 tff(28210,plain,
% 9.39/7.01 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB90)),
% 9.39/7.01 inference(quant_inst,[status(thm)],[])).
% 9.39/7.01 tff(28211,plain,
% 9.39/7.01 (v4(constB90)),
% 9.39/7.01 inference(unit_resolution,[status(thm)],[28210, 288])).
% 9.39/7.01 tff(28212,plain,
% 9.39/7.01 ((~((~v4(constB90)) <=> v18(constB90))) | (~v4(constB90)) | (~v18(constB90))),
% 9.39/7.01 inference(tautology,[status(thm)],[])).
% 9.39/7.01 tff(28213,plain,
% 9.39/7.01 (~v18(constB90)),
% 9.39/7.01 inference(unit_resolution,[status(thm)],[28212, 28211, 28209])).
% 9.39/7.01 tff(28214,plain,
% 9.39/7.01 ((~(v18(constB90) <=> (~((~v19(constB90)) | (~v22(constB90)))))) | v18(constB90) | ((~v19(constB90)) | (~v22(constB90)))),
% 9.39/7.01 inference(tautology,[status(thm)],[])).
% 9.39/7.01 tff(28215,plain,
% 9.39/7.01 ((~v19(constB90)) | (~v22(constB90))),
% 9.39/7.01 inference(unit_resolution,[status(thm)],[28214, 28213, 28207])).
% 9.39/7.01 tff(28216,plain,
% 9.39/7.01 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB90) <=> (v1(constB90) | v6(constB90)))),
% 9.39/7.01 inference(quant_inst,[status(thm)],[])).
% 9.39/7.01 tff(28217,plain,
% 9.39/7.01 (v22(constB90) <=> (v1(constB90) | v6(constB90))),
% 9.39/7.01 inference(unit_resolution,[status(thm)],[28216, 301])).
% 9.39/7.01 tff(28218,plain,
% 9.39/7.01 ((v1(constB90) | v6(constB90)) | (~v1(constB90))),
% 9.39/7.01 inference(tautology,[status(thm)],[])).
% 9.39/7.01 tff(28219,plain,
% 9.39/7.01 (v1(constB90) | v6(constB90)),
% 9.39/7.01 inference(unit_resolution,[status(thm)],[28218, 5680])).
% 9.39/7.01 tff(28220,plain,
% 9.39/7.01 ((~(v22(constB90) <=> (v1(constB90) | v6(constB90)))) | v22(constB90) | (~(v1(constB90) | v6(constB90)))),
% 9.39/7.01 inference(tautology,[status(thm)],[])).
% 9.39/7.01 tff(28221,plain,
% 9.39/7.01 ((~(v22(constB90) <=> (v1(constB90) | v6(constB90)))) | v22(constB90)),
% 9.39/7.01 inference(unit_resolution,[status(thm)],[28220, 28219])).
% 9.39/7.01 tff(28222,plain,
% 9.39/7.01 (v22(constB90)),
% 9.39/7.01 inference(unit_resolution,[status(thm)],[28221, 28217])).
% 9.39/7.01 tff(28223,plain,
% 9.39/7.01 ((~((~v19(constB90)) | (~v22(constB90)))) | (~v19(constB90)) | (~v22(constB90))),
% 9.39/7.01 inference(tautology,[status(thm)],[])).
% 9.39/7.01 tff(28224,plain,
% 9.39/7.01 ((~((~v19(constB90)) | (~v22(constB90)))) | (~v19(constB90))),
% 9.39/7.01 inference(unit_resolution,[status(thm)],[28223, 28222])).
% 9.39/7.01 tff(28225,plain,
% 9.39/7.01 (~v19(constB90)),
% 9.39/7.01 inference(unit_resolution,[status(thm)],[28224, 28215])).
% 9.39/7.01 tff(28226,plain,
% 9.39/7.01 ((~(v19(constB90) <=> (v20(constB90) | v21(constB90)))) | v19(constB90) | (~(v20(constB90) | v21(constB90)))),
% 9.39/7.01 inference(tautology,[status(thm)],[])).
% 9.39/7.01 tff(28227,plain,
% 9.39/7.01 (~(v20(constB90) | v21(constB90))),
% 9.39/7.01 inference(unit_resolution,[status(thm)],[28226, 28225, 28205])).
% 9.39/7.01 tff(28228,plain,
% 9.39/7.01 ((v20(constB90) | v21(constB90)) | (~v21(constB90))),
% 9.39/7.01 inference(tautology,[status(thm)],[])).
% 9.39/7.01 tff(28229,plain,
% 9.39/7.01 (~v21(constB90)),
% 9.39/7.01 inference(unit_resolution,[status(thm)],[28228, 28227])).
% 9.39/7.01 tff(28230,plain,
% 9.39/7.01 ((~((~v21(constB90)) <=> v6(constB90))) | v21(constB90) | v6(constB90)),
% 9.39/7.01 inference(tautology,[status(thm)],[])).
% 9.39/7.01 tff(28231,plain,
% 9.39/7.01 (v6(constB90)),
% 9.39/7.01 inference(unit_resolution,[status(thm)],[28230, 28229, 28203])).
% 9.39/7.01 tff(28232,plain,
% 9.39/7.01 ((~(v6(constB90) <=> v13(constB90))) | (~v6(constB90)) | v13(constB90)),
% 9.39/7.01 inference(tautology,[status(thm)],[])).
% 9.39/7.01 tff(28233,plain,
% 9.39/7.01 (v13(constB90)),
% 9.39/7.01 inference(unit_resolution,[status(thm)],[28232, 28231, 28201])).
% 9.39/7.01 tff(28234,plain,
% 9.39/7.01 ((~(v13(constB90) <=> v9(constB89))) | (~v13(constB90)) | v9(constB89)),
% 9.39/7.01 inference(tautology,[status(thm)],[])).
% 9.39/7.01 tff(28235,plain,
% 9.39/7.01 (v9(constB89)),
% 9.39/7.01 inference(unit_resolution,[status(thm)],[28234, 28233, 28199])).
% 9.39/7.01 tff(28236,plain,
% 9.39/7.01 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB89)) <=> v1(constB89))),
% 9.39/7.01 inference(quant_inst,[status(thm)],[])).
% 9.39/7.01 tff(28237,plain,
% 9.39/7.01 ((~v39(constB89)) <=> v1(constB89)),
% 9.39/7.01 inference(unit_resolution,[status(thm)],[28236, 139])).
% 9.39/7.01 tff(28238,plain,
% 9.39/7.01 ((~((~v39(constB89)) <=> v1(constB89))) | v39(constB89) | v1(constB89)),
% 9.39/7.01 inference(tautology,[status(thm)],[])).
% 9.39/7.01 tff(28239,plain,
% 9.39/7.01 ((~((~v39(constB89)) <=> v1(constB89))) | v39(constB89)),
% 9.39/7.01 inference(unit_resolution,[status(thm)],[28238, 5672])).
% 9.39/7.01 tff(28240,plain,
% 9.39/7.01 (v39(constB89)),
% 9.39/7.01 inference(unit_resolution,[status(thm)],[28239, 28237])).
% 9.39/7.01 tff(28241,plain,
% 9.39/7.01 ((~((~v39(constB89)) | (~v9(constB89)))) | (~v39(constB89)) | (~v9(constB89))),
% 9.39/7.01 inference(tautology,[status(thm)],[])).
% 9.39/7.01 tff(28242,plain,
% 9.39/7.01 ((~((~v39(constB89)) | (~v9(constB89)))) | (~v9(constB89))),
% 9.39/7.01 inference(unit_resolution,[status(thm)],[28241, 28240])).
% 9.39/7.01 tff(28243,plain,
% 9.39/7.01 (~((~v39(constB89)) | (~v9(constB89)))),
% 9.39/7.01 inference(unit_resolution,[status(thm)],[28242, 28235])).
% 9.39/7.01 tff(28244,plain,
% 9.39/7.01 ((~(v141(constB89) <=> (~((~v39(constB89)) | (~v9(constB89)))))) | v141(constB89) | ((~v39(constB89)) | (~v9(constB89)))),
% 9.39/7.01 inference(tautology,[status(thm)],[])).
% 9.39/7.01 tff(28245,plain,
% 9.39/7.01 (v141(constB89)),
% 9.39/7.01 inference(unit_resolution,[status(thm)],[28244, 28243, 28195])).
% 9.39/7.01 tff(28246,plain,
% 9.39/7.01 ((v141(constB89) | v26(constB89)) | (~v141(constB89))),
% 9.39/7.01 inference(tautology,[status(thm)],[])).
% 9.39/7.01 tff(28247,plain,
% 9.39/7.01 (v141(constB89) | v26(constB89)),
% 9.39/7.01 inference(unit_resolution,[status(thm)],[28246, 28245])).
% 9.39/7.01 tff(28248,plain,
% 9.39/7.01 ((~(v140(constB89) <=> (v141(constB89) | v26(constB89)))) | v140(constB89) | (~(v141(constB89) | v26(constB89)))),
% 9.39/7.01 inference(tautology,[status(thm)],[])).
% 9.39/7.01 tff(28249,plain,
% 9.39/7.01 (v140(constB89)),
% 9.39/7.01 inference(unit_resolution,[status(thm)],[28248, 28247, 28193])).
% 9.39/7.01 tff(28250,plain,
% 9.39/7.01 ((~((~v139(constB89)) <=> v140(constB89))) | (~v139(constB89)) | (~v140(constB89))),
% 9.39/7.01 inference(tautology,[status(thm)],[])).
% 9.39/7.01 tff(28251,plain,
% 9.39/7.01 (~v139(constB89)),
% 9.39/7.01 inference(unit_resolution,[status(thm)],[28250, 28249, 28191])).
% 9.39/7.01 tff(28252,plain,
% 9.39/7.01 (((~v128(constB89)) | (~v139(constB89))) | v139(constB89)),
% 9.39/7.01 inference(tautology,[status(thm)],[])).
% 9.39/7.01 tff(28253,plain,
% 9.39/7.01 ((~v128(constB89)) | (~v139(constB89))),
% 9.39/7.01 inference(unit_resolution,[status(thm)],[28252, 28251])).
% 9.39/7.01 tff(28254,plain,
% 9.39/7.01 ((~(v163(constB89) <=> (~((~v128(constB89)) | (~v139(constB89)))))) | (~v163(constB89)) | (~((~v128(constB89)) | (~v139(constB89))))),
% 9.39/7.01 inference(tautology,[status(thm)],[])).
% 9.39/7.01 tff(28255,plain,
% 9.39/7.01 (~v163(constB89)),
% 9.39/7.01 inference(unit_resolution,[status(thm)],[28254, 28253, 28189])).
% 9.39/7.01 tff(28256,plain,
% 9.39/7.01 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB89) <=> (~((~v130(constB89)) | (~v154(constB89)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB89) <=> (~((~v130(constB89)) | (~v154(constB89))))))),
% 9.39/7.01 inference(rewrite,[status(thm)],[])).
% 9.39/7.01 tff(28257,plain,
% 9.39/7.01 ((v164(constB89) <=> (~((~v154(constB89)) | (~v130(constB89))))) <=> (v164(constB89) <=> (~((~v130(constB89)) | (~v154(constB89)))))),
% 9.39/7.01 inference(rewrite,[status(thm)],[])).
% 9.39/7.01 tff(28258,plain,
% 9.39/7.01 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB89) <=> (~((~v154(constB89)) | (~v130(constB89)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB89) <=> (~((~v130(constB89)) | (~v154(constB89))))))),
% 9.39/7.01 inference(monotonicity,[status(thm)],[28257])).
% 9.39/7.01 tff(28259,plain,
% 9.39/7.01 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB89) <=> (~((~v154(constB89)) | (~v130(constB89)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB89) <=> (~((~v130(constB89)) | (~v154(constB89))))))),
% 9.39/7.01 inference(transitivity,[status(thm)],[28258, 28256])).
% 9.39/7.01 tff(28260,plain,
% 9.39/7.01 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB89) <=> (~((~v154(constB89)) | (~v130(constB89)))))),
% 9.39/7.01 inference(quant_inst,[status(thm)],[])).
% 9.39/7.01 tff(28261,plain,
% 9.39/7.01 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB89) <=> (~((~v130(constB89)) | (~v154(constB89)))))),
% 9.39/7.01 inference(modus_ponens,[status(thm)],[28260, 28259])).
% 9.39/7.01 tff(28262,plain,
% 9.39/7.01 (v164(constB89) <=> (~((~v130(constB89)) | (~v154(constB89))))),
% 9.39/7.01 inference(unit_resolution,[status(thm)],[28261, 96])).
% 9.39/7.01 tff(28263,plain,
% 9.39/7.01 ((~![VarNext: $i] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB89) <=> v152(constB89))),
% 9.39/7.01 inference(quant_inst,[status(thm)],[])).
% 9.39/7.01 tff(28264,plain,
% 9.39/7.01 (v130(constB89) <=> v152(constB89)),
% 9.39/7.01 inference(unit_resolution,[status(thm)],[28263, 361])).
% 9.39/7.01 tff(28265,plain,
% 9.39/7.01 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB88, constB89)) | (v152(constB89) <=> v150(constB88)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB88, constB89)) | (v152(constB89) <=> v150(constB88)))),
% 9.39/7.01 inference(rewrite,[status(thm)],[])).
% 9.39/7.01 tff(28266,plain,
% 9.39/7.01 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB88, constB89)) | (v152(constB89) <=> v150(constB88)))),
% 9.39/7.01 inference(quant_inst,[status(thm)],[])).
% 9.39/7.01 tff(28267,plain,
% 9.39/7.01 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB88, constB89)) | (v152(constB89) <=> v150(constB88))),
% 9.39/7.01 inference(modus_ponens,[status(thm)],[28266, 28265])).
% 9.39/7.01 tff(28268,plain,
% 9.39/7.01 (v152(constB89) <=> v150(constB88)),
% 9.39/7.01 inference(unit_resolution,[status(thm)],[28267, 5713, 373])).
% 9.39/7.01 tff(28269,plain,
% 9.39/7.01 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v153(VarCurr) | v155(VarCurr)))) | (v150(constB88) <=> (v153(constB88) | v155(constB88)))),
% 9.39/7.01 inference(quant_inst,[status(thm)],[])).
% 9.39/7.01 tff(28270,plain,
% 9.39/7.01 (v150(constB88) <=> (v153(constB88) | v155(constB88))),
% 9.39/7.01 inference(unit_resolution,[status(thm)],[28269, 387])).
% 9.39/7.01 tff(28271,plain,
% 9.39/7.01 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB88) <=> (~((~v132(constB88)) | (~v154(constB88)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB88) <=> (~((~v132(constB88)) | (~v154(constB88))))))),
% 9.39/7.01 inference(rewrite,[status(thm)],[])).
% 9.39/7.01 tff(28272,plain,
% 9.39/7.01 ((v153(constB88) <=> (~((~v154(constB88)) | (~v132(constB88))))) <=> (v153(constB88) <=> (~((~v132(constB88)) | (~v154(constB88)))))),
% 9.39/7.01 inference(rewrite,[status(thm)],[])).
% 9.39/7.01 tff(28273,plain,
% 9.39/7.01 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB88) <=> (~((~v154(constB88)) | (~v132(constB88)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB88) <=> (~((~v132(constB88)) | (~v154(constB88))))))),
% 9.39/7.01 inference(monotonicity,[status(thm)],[28272])).
% 9.39/7.01 tff(28274,plain,
% 9.39/7.01 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB88) <=> (~((~v154(constB88)) | (~v132(constB88)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB88) <=> (~((~v132(constB88)) | (~v154(constB88))))))),
% 9.39/7.01 inference(transitivity,[status(thm)],[28273, 28271])).
% 9.39/7.01 tff(28275,plain,
% 9.39/7.01 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB88) <=> (~((~v154(constB88)) | (~v132(constB88)))))),
% 9.39/7.01 inference(quant_inst,[status(thm)],[])).
% 9.39/7.01 tff(28276,plain,
% 9.39/7.01 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB88) <=> (~((~v132(constB88)) | (~v154(constB88)))))),
% 9.39/7.01 inference(modus_ponens,[status(thm)],[28275, 28274])).
% 9.39/7.01 tff(28277,plain,
% 9.39/7.01 (v153(constB88) <=> (~((~v132(constB88)) | (~v154(constB88))))),
% 9.39/7.01 inference(unit_resolution,[status(thm)],[28276, 399])).
% 9.39/7.01 tff(28278,plain,
% 9.39/7.01 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB88) <=> (~((~v141(constB88)) | (~v143(constB88)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB88) <=> (~((~v141(constB88)) | (~v143(constB88))))))),
% 9.39/7.01 inference(rewrite,[status(thm)],[])).
% 9.39/7.01 tff(28279,plain,
% 9.39/7.01 ((v154(constB88) <=> (~((~v143(constB88)) | (~v141(constB88))))) <=> (v154(constB88) <=> (~((~v141(constB88)) | (~v143(constB88)))))),
% 9.39/7.01 inference(rewrite,[status(thm)],[])).
% 9.39/7.01 tff(28280,plain,
% 9.39/7.01 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB88) <=> (~((~v143(constB88)) | (~v141(constB88)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB88) <=> (~((~v141(constB88)) | (~v143(constB88))))))),
% 9.39/7.01 inference(monotonicity,[status(thm)],[28279])).
% 9.39/7.01 tff(28281,plain,
% 9.39/7.01 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB88) <=> (~((~v143(constB88)) | (~v141(constB88)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB88) <=> (~((~v141(constB88)) | (~v143(constB88))))))),
% 9.39/7.01 inference(transitivity,[status(thm)],[28280, 28278])).
% 9.39/7.01 tff(28282,plain,
% 9.39/7.01 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB88) <=> (~((~v143(constB88)) | (~v141(constB88)))))),
% 9.39/7.01 inference(quant_inst,[status(thm)],[])).
% 9.39/7.01 tff(28283,plain,
% 9.39/7.01 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB88) <=> (~((~v141(constB88)) | (~v143(constB88)))))),
% 9.39/7.01 inference(modus_ponens,[status(thm)],[28282, 28281])).
% 9.39/7.01 tff(28284,plain,
% 9.39/7.01 (v154(constB88) <=> (~((~v141(constB88)) | (~v143(constB88))))),
% 9.39/7.01 inference(unit_resolution,[status(thm)],[28283, 113])).
% 9.39/7.01 tff(28285,plain,
% 9.39/7.01 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB88) <=> (~((~v39(constB88)) | (~v9(constB88)))))),
% 9.39/7.01 inference(quant_inst,[status(thm)],[])).
% 9.39/7.01 tff(28286,plain,
% 9.39/7.01 (v141(constB88) <=> (~((~v39(constB88)) | (~v9(constB88))))),
% 9.39/7.01 inference(unit_resolution,[status(thm)],[28285, 130])).
% 9.39/7.01 tff(28287,plain,
% 9.39/7.01 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB88)) <=> v1(constB88))),
% 9.39/7.01 inference(quant_inst,[status(thm)],[])).
% 9.39/7.01 tff(28288,plain,
% 9.39/7.01 ((~v39(constB88)) <=> v1(constB88)),
% 9.39/7.01 inference(unit_resolution,[status(thm)],[28287, 139])).
% 9.39/7.01 tff(28289,plain,
% 9.39/7.01 ((~((~v39(constB88)) <=> v1(constB88))) | (~v39(constB88)) | (~v1(constB88))),
% 9.39/7.01 inference(tautology,[status(thm)],[])).
% 9.39/7.01 tff(28290,plain,
% 9.39/7.01 ((~((~v39(constB88)) <=> v1(constB88))) | (~v39(constB88))),
% 9.39/7.01 inference(unit_resolution,[status(thm)],[28289, 5775])).
% 9.39/7.01 tff(28291,plain,
% 9.39/7.01 (~v39(constB88)),
% 9.39/7.01 inference(unit_resolution,[status(thm)],[28290, 28288])).
% 9.39/7.01 tff(28292,plain,
% 9.39/7.01 (((~v39(constB88)) | (~v9(constB88))) | v39(constB88)),
% 9.39/7.01 inference(tautology,[status(thm)],[])).
% 9.39/7.01 tff(28293,plain,
% 9.39/7.01 ((~v39(constB88)) | (~v9(constB88))),
% 9.39/7.01 inference(unit_resolution,[status(thm)],[28292, 28291])).
% 9.39/7.01 tff(28294,plain,
% 9.39/7.01 ((~(v141(constB88) <=> (~((~v39(constB88)) | (~v9(constB88)))))) | (~v141(constB88)) | (~((~v39(constB88)) | (~v9(constB88))))),
% 9.39/7.01 inference(tautology,[status(thm)],[])).
% 9.39/7.01 tff(28295,plain,
% 9.39/7.01 ((~(v141(constB88) <=> (~((~v39(constB88)) | (~v9(constB88)))))) | (~v141(constB88))),
% 9.39/7.01 inference(unit_resolution,[status(thm)],[28294, 28293])).
% 9.39/7.01 tff(28296,plain,
% 9.39/7.01 (~v141(constB88)),
% 9.39/7.01 inference(unit_resolution,[status(thm)],[28295, 28286])).
% 9.39/7.01 tff(28297,plain,
% 9.39/7.01 (((~v141(constB88)) | (~v143(constB88))) | v141(constB88)),
% 9.39/7.01 inference(tautology,[status(thm)],[])).
% 9.39/7.01 tff(28298,plain,
% 9.39/7.01 ((~v141(constB88)) | (~v143(constB88))),
% 9.39/7.01 inference(unit_resolution,[status(thm)],[28297, 28296])).
% 9.39/7.01 tff(28299,plain,
% 9.39/7.01 ((~(v154(constB88) <=> (~((~v141(constB88)) | (~v143(constB88)))))) | (~v154(constB88)) | (~((~v141(constB88)) | (~v143(constB88))))),
% 9.39/7.01 inference(tautology,[status(thm)],[])).
% 9.39/7.01 tff(28300,plain,
% 9.39/7.01 ((~(v154(constB88) <=> (~((~v141(constB88)) | (~v143(constB88)))))) | (~v154(constB88))),
% 9.39/7.01 inference(unit_resolution,[status(thm)],[28299, 28298])).
% 9.39/7.01 tff(28301,plain,
% 9.39/7.01 (~v154(constB88)),
% 9.39/7.01 inference(unit_resolution,[status(thm)],[28300, 28284])).
% 9.39/7.01 tff(28302,plain,
% 9.39/7.01 (((~v132(constB88)) | (~v154(constB88))) | v154(constB88)),
% 9.39/7.01 inference(tautology,[status(thm)],[])).
% 9.39/7.01 tff(28303,plain,
% 9.39/7.01 ((~v132(constB88)) | (~v154(constB88))),
% 9.39/7.01 inference(unit_resolution,[status(thm)],[28302, 28301])).
% 9.39/7.01 tff(28304,plain,
% 9.39/7.01 ((~(v153(constB88) <=> (~((~v132(constB88)) | (~v154(constB88)))))) | (~v153(constB88)) | (~((~v132(constB88)) | (~v154(constB88))))),
% 9.39/7.01 inference(tautology,[status(thm)],[])).
% 9.39/7.01 tff(28305,plain,
% 9.39/7.01 (~v153(constB88)),
% 9.39/7.01 inference(unit_resolution,[status(thm)],[28304, 28303, 28277])).
% 9.39/7.01 tff(28306,plain,
% 9.39/7.01 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB88) <=> (~((~v130(constB88)) | (~v139(constB88)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB88) <=> (~((~v130(constB88)) | (~v139(constB88))))))),
% 9.39/7.01 inference(rewrite,[status(thm)],[])).
% 9.39/7.01 tff(28307,plain,
% 9.39/7.01 ((v155(constB88) <=> (~((~v139(constB88)) | (~v130(constB88))))) <=> (v155(constB88) <=> (~((~v130(constB88)) | (~v139(constB88)))))),
% 9.39/7.01 inference(rewrite,[status(thm)],[])).
% 9.39/7.01 tff(28308,plain,
% 9.39/7.01 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB88) <=> (~((~v139(constB88)) | (~v130(constB88)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB88) <=> (~((~v130(constB88)) | (~v139(constB88))))))),
% 9.39/7.01 inference(monotonicity,[status(thm)],[28307])).
% 9.39/7.01 tff(28309,plain,
% 9.39/7.01 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB88) <=> (~((~v139(constB88)) | (~v130(constB88)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB88) <=> (~((~v130(constB88)) | (~v139(constB88))))))),
% 9.39/7.01 inference(transitivity,[status(thm)],[28308, 28306])).
% 9.39/7.01 tff(28310,plain,
% 9.39/7.01 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB88) <=> (~((~v139(constB88)) | (~v130(constB88)))))),
% 9.39/7.01 inference(quant_inst,[status(thm)],[])).
% 9.39/7.01 tff(28311,plain,
% 9.39/7.01 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB88) <=> (~((~v130(constB88)) | (~v139(constB88)))))),
% 9.39/7.01 inference(modus_ponens,[status(thm)],[28310, 28309])).
% 9.39/7.01 tff(28312,plain,
% 9.39/7.01 (v155(constB88) <=> (~((~v130(constB88)) | (~v139(constB88))))),
% 9.39/7.01 inference(unit_resolution,[status(thm)],[28311, 447])).
% 9.39/7.01 tff(28313,plain,
% 9.39/7.01 ((~![VarNext: $i] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB88) <=> v152(constB88))),
% 9.39/7.01 inference(quant_inst,[status(thm)],[])).
% 9.39/7.01 tff(28314,plain,
% 9.39/7.01 (v130(constB88) <=> v152(constB88)),
% 9.39/7.01 inference(unit_resolution,[status(thm)],[28313, 361])).
% 9.39/7.01 tff(28315,plain,
% 9.39/7.01 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB87, constB88)) | (v152(constB88) <=> v150(constB87)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB87, constB88)) | (v152(constB88) <=> v150(constB87)))),
% 9.39/7.01 inference(rewrite,[status(thm)],[])).
% 9.39/7.01 tff(28316,plain,
% 9.39/7.01 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB87, constB88)) | (v152(constB88) <=> v150(constB87)))),
% 9.39/7.01 inference(quant_inst,[status(thm)],[])).
% 9.39/7.01 tff(28317,plain,
% 9.39/7.01 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB87, constB88)) | (v152(constB88) <=> v150(constB87))),
% 9.39/7.01 inference(modus_ponens,[status(thm)],[28316, 28315])).
% 9.39/7.01 tff(28318,plain,
% 9.39/7.01 (v152(constB88) <=> v150(constB87)),
% 9.39/7.01 inference(unit_resolution,[status(thm)],[28317, 5745, 373])).
% 9.39/7.01 tff(28319,plain,
% 9.39/7.01 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v153(VarCurr) | v155(VarCurr)))) | (v150(constB87) <=> (v153(constB87) | v155(constB87)))),
% 9.39/7.01 inference(quant_inst,[status(thm)],[])).
% 9.39/7.01 tff(28320,plain,
% 9.39/7.01 (v150(constB87) <=> (v153(constB87) | v155(constB87))),
% 9.39/7.01 inference(unit_resolution,[status(thm)],[28319, 387])).
% 9.39/7.01 tff(28321,plain,
% 9.39/7.01 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB87) <=> (~((~v130(constB87)) | (~v139(constB87)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB87) <=> (~((~v130(constB87)) | (~v139(constB87))))))),
% 9.39/7.01 inference(rewrite,[status(thm)],[])).
% 9.39/7.01 tff(28322,plain,
% 9.39/7.01 ((v155(constB87) <=> (~((~v139(constB87)) | (~v130(constB87))))) <=> (v155(constB87) <=> (~((~v130(constB87)) | (~v139(constB87)))))),
% 9.39/7.01 inference(rewrite,[status(thm)],[])).
% 9.39/7.01 tff(28323,plain,
% 9.39/7.01 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB87) <=> (~((~v139(constB87)) | (~v130(constB87)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB87) <=> (~((~v130(constB87)) | (~v139(constB87))))))),
% 9.39/7.01 inference(monotonicity,[status(thm)],[28322])).
% 9.39/7.01 tff(28324,plain,
% 9.39/7.01 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB87) <=> (~((~v139(constB87)) | (~v130(constB87)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB87) <=> (~((~v130(constB87)) | (~v139(constB87))))))),
% 9.39/7.01 inference(transitivity,[status(thm)],[28323, 28321])).
% 9.39/7.01 tff(28325,plain,
% 9.39/7.01 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB87) <=> (~((~v139(constB87)) | (~v130(constB87)))))),
% 9.39/7.01 inference(quant_inst,[status(thm)],[])).
% 9.39/7.01 tff(28326,plain,
% 9.39/7.01 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB87) <=> (~((~v130(constB87)) | (~v139(constB87)))))),
% 9.39/7.01 inference(modus_ponens,[status(thm)],[28325, 28324])).
% 9.39/7.01 tff(28327,plain,
% 9.39/7.01 (v155(constB87) <=> (~((~v130(constB87)) | (~v139(constB87))))),
% 9.39/7.01 inference(unit_resolution,[status(thm)],[28326, 447])).
% 9.39/7.01 tff(28328,plain,
% 9.39/7.01 ((~![VarCurr: $i] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB87)) <=> v140(constB87))),
% 9.39/7.01 inference(quant_inst,[status(thm)],[])).
% 9.39/7.01 tff(28329,plain,
% 9.39/7.01 ((~v139(constB87)) <=> v140(constB87)),
% 9.39/7.01 inference(unit_resolution,[status(thm)],[28328, 203])).
% 9.39/7.01 tff(28330,plain,
% 9.39/7.01 ((~![VarCurr: $i] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB87) <=> (v141(constB87) | v26(constB87)))),
% 9.39/7.01 inference(quant_inst,[status(thm)],[])).
% 9.39/7.01 tff(28331,plain,
% 9.39/7.01 (v140(constB87) <=> (v141(constB87) | v26(constB87))),
% 9.39/7.01 inference(unit_resolution,[status(thm)],[28330, 212])).
% 9.39/7.01 tff(28332,plain,
% 9.39/7.01 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB87) <=> (~((~v39(constB87)) | (~v9(constB87)))))),
% 9.39/7.01 inference(quant_inst,[status(thm)],[])).
% 9.39/7.01 tff(28333,plain,
% 9.39/7.01 (v141(constB87) <=> (~((~v39(constB87)) | (~v9(constB87))))),
% 9.39/7.01 inference(unit_resolution,[status(thm)],[28332, 130])).
% 9.39/7.01 tff(28334,plain,
% 9.39/7.01 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB87, constB88)) | (v13(constB88) <=> v9(constB87)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB87, constB88)) | (v13(constB88) <=> v9(constB87)))),
% 9.39/7.01 inference(rewrite,[status(thm)],[])).
% 9.39/7.01 tff(28335,plain,
% 9.39/7.01 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB87, constB88)) | (v13(constB88) <=> v9(constB87)))),
% 9.39/7.01 inference(quant_inst,[status(thm)],[])).
% 9.39/7.01 tff(28336,plain,
% 9.39/7.01 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB87, constB88)) | (v13(constB88) <=> v9(constB87))),
% 9.39/7.01 inference(modus_ponens,[status(thm)],[28335, 28334])).
% 9.39/7.01 tff(28337,plain,
% 9.39/7.01 (v13(constB88) <=> v9(constB87)),
% 9.39/7.01 inference(unit_resolution,[status(thm)],[28336, 5745, 226])).
% 9.39/7.01 tff(28338,plain,
% 9.39/7.01 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB88) <=> v13(constB88))),
% 9.39/7.01 inference(quant_inst,[status(thm)],[])).
% 9.39/7.01 tff(28339,plain,
% 9.39/7.01 (v6(constB88) <=> v13(constB88)),
% 9.39/7.01 inference(unit_resolution,[status(thm)],[28338, 240])).
% 9.39/7.01 tff(28340,plain,
% 9.39/7.01 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB88)) <=> v6(constB88))),
% 9.39/7.01 inference(quant_inst,[status(thm)],[])).
% 9.39/7.01 tff(28341,plain,
% 9.39/7.01 ((~v21(constB88)) <=> v6(constB88)),
% 9.39/7.01 inference(unit_resolution,[status(thm)],[28340, 249])).
% 9.39/7.01 tff(28342,plain,
% 9.39/7.01 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB88) <=> (v20(constB88) | v21(constB88)))),
% 9.39/7.01 inference(quant_inst,[status(thm)],[])).
% 9.39/7.01 tff(28343,plain,
% 9.39/7.01 (v19(constB88) <=> (v20(constB88) | v21(constB88))),
% 9.39/7.01 inference(unit_resolution,[status(thm)],[28342, 258])).
% 9.39/7.01 tff(28344,plain,
% 9.39/7.01 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB88) <=> (~((~v19(constB88)) | (~v22(constB88)))))),
% 9.39/7.01 inference(quant_inst,[status(thm)],[])).
% 9.39/7.01 tff(28345,plain,
% 9.39/7.01 (v18(constB88) <=> (~((~v19(constB88)) | (~v22(constB88))))),
% 9.39/7.01 inference(unit_resolution,[status(thm)],[28344, 270])).
% 9.39/7.01 tff(28346,plain,
% 9.39/7.01 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB88)) <=> v18(constB88))),
% 9.39/7.01 inference(quant_inst,[status(thm)],[])).
% 9.39/7.01 tff(28347,plain,
% 9.39/7.01 ((~v4(constB88)) <=> v18(constB88)),
% 9.39/7.01 inference(unit_resolution,[status(thm)],[28346, 279])).
% 9.39/7.01 tff(28348,plain,
% 9.39/7.01 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB88)),
% 9.39/7.01 inference(quant_inst,[status(thm)],[])).
% 9.39/7.01 tff(28349,plain,
% 9.39/7.01 (v4(constB88)),
% 9.39/7.01 inference(unit_resolution,[status(thm)],[28348, 288])).
% 9.39/7.01 tff(28350,plain,
% 9.39/7.01 ((~((~v4(constB88)) <=> v18(constB88))) | (~v4(constB88)) | (~v18(constB88))),
% 9.39/7.01 inference(tautology,[status(thm)],[])).
% 9.39/7.01 tff(28351,plain,
% 9.39/7.01 (~v18(constB88)),
% 9.39/7.01 inference(unit_resolution,[status(thm)],[28350, 28349, 28347])).
% 9.39/7.01 tff(28352,plain,
% 9.39/7.01 ((~(v18(constB88) <=> (~((~v19(constB88)) | (~v22(constB88)))))) | v18(constB88) | ((~v19(constB88)) | (~v22(constB88)))),
% 9.39/7.01 inference(tautology,[status(thm)],[])).
% 9.39/7.01 tff(28353,plain,
% 9.39/7.01 ((~v19(constB88)) | (~v22(constB88))),
% 9.39/7.01 inference(unit_resolution,[status(thm)],[28352, 28351, 28345])).
% 9.39/7.01 tff(28354,plain,
% 9.39/7.01 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB88) <=> (v1(constB88) | v6(constB88)))),
% 9.39/7.01 inference(quant_inst,[status(thm)],[])).
% 9.39/7.01 tff(28355,plain,
% 9.39/7.01 (v22(constB88) <=> (v1(constB88) | v6(constB88))),
% 9.39/7.01 inference(unit_resolution,[status(thm)],[28354, 301])).
% 9.39/7.01 tff(28356,plain,
% 9.39/7.01 ((v1(constB88) | v6(constB88)) | (~v1(constB88))),
% 9.39/7.01 inference(tautology,[status(thm)],[])).
% 9.39/7.01 tff(28357,plain,
% 9.39/7.01 (v1(constB88) | v6(constB88)),
% 9.39/7.01 inference(unit_resolution,[status(thm)],[28356, 5775])).
% 9.39/7.01 tff(28358,plain,
% 9.39/7.01 ((~(v22(constB88) <=> (v1(constB88) | v6(constB88)))) | v22(constB88) | (~(v1(constB88) | v6(constB88)))),
% 9.39/7.01 inference(tautology,[status(thm)],[])).
% 9.39/7.01 tff(28359,plain,
% 9.39/7.01 ((~(v22(constB88) <=> (v1(constB88) | v6(constB88)))) | v22(constB88)),
% 9.39/7.01 inference(unit_resolution,[status(thm)],[28358, 28357])).
% 9.39/7.01 tff(28360,plain,
% 9.39/7.01 (v22(constB88)),
% 9.39/7.01 inference(unit_resolution,[status(thm)],[28359, 28355])).
% 9.39/7.01 tff(28361,plain,
% 9.39/7.01 ((~((~v19(constB88)) | (~v22(constB88)))) | (~v19(constB88)) | (~v22(constB88))),
% 9.39/7.01 inference(tautology,[status(thm)],[])).
% 9.39/7.01 tff(28362,plain,
% 9.39/7.01 ((~((~v19(constB88)) | (~v22(constB88)))) | (~v19(constB88))),
% 9.39/7.01 inference(unit_resolution,[status(thm)],[28361, 28360])).
% 9.39/7.01 tff(28363,plain,
% 9.39/7.01 (~v19(constB88)),
% 9.39/7.01 inference(unit_resolution,[status(thm)],[28362, 28353])).
% 9.39/7.01 tff(28364,plain,
% 9.39/7.01 ((~(v19(constB88) <=> (v20(constB88) | v21(constB88)))) | v19(constB88) | (~(v20(constB88) | v21(constB88)))),
% 9.39/7.01 inference(tautology,[status(thm)],[])).
% 9.39/7.01 tff(28365,plain,
% 9.39/7.01 (~(v20(constB88) | v21(constB88))),
% 9.39/7.01 inference(unit_resolution,[status(thm)],[28364, 28363, 28343])).
% 9.39/7.01 tff(28366,plain,
% 9.39/7.01 ((v20(constB88) | v21(constB88)) | (~v21(constB88))),
% 9.39/7.01 inference(tautology,[status(thm)],[])).
% 9.39/7.01 tff(28367,plain,
% 9.39/7.01 (~v21(constB88)),
% 9.39/7.01 inference(unit_resolution,[status(thm)],[28366, 28365])).
% 9.39/7.01 tff(28368,plain,
% 9.39/7.01 ((~((~v21(constB88)) <=> v6(constB88))) | v21(constB88) | v6(constB88)),
% 9.39/7.01 inference(tautology,[status(thm)],[])).
% 9.39/7.01 tff(28369,plain,
% 9.39/7.01 (v6(constB88)),
% 9.39/7.01 inference(unit_resolution,[status(thm)],[28368, 28367, 28341])).
% 9.39/7.01 tff(28370,plain,
% 9.39/7.01 ((~(v6(constB88) <=> v13(constB88))) | (~v6(constB88)) | v13(constB88)),
% 9.39/7.01 inference(tautology,[status(thm)],[])).
% 9.39/7.01 tff(28371,plain,
% 9.39/7.01 (v13(constB88)),
% 9.39/7.01 inference(unit_resolution,[status(thm)],[28370, 28369, 28339])).
% 9.39/7.01 tff(28372,plain,
% 9.39/7.01 ((~(v13(constB88) <=> v9(constB87))) | (~v13(constB88)) | v9(constB87)),
% 9.39/7.01 inference(tautology,[status(thm)],[])).
% 9.39/7.01 tff(28373,plain,
% 9.39/7.01 (v9(constB87)),
% 9.39/7.01 inference(unit_resolution,[status(thm)],[28372, 28371, 28337])).
% 9.39/7.01 tff(28374,plain,
% 9.39/7.01 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB87)) <=> v1(constB87))),
% 9.39/7.01 inference(quant_inst,[status(thm)],[])).
% 9.39/7.01 tff(28375,plain,
% 9.39/7.01 ((~v39(constB87)) <=> v1(constB87)),
% 9.39/7.01 inference(unit_resolution,[status(thm)],[28374, 139])).
% 9.39/7.01 tff(28376,plain,
% 9.39/7.01 ((~((~v39(constB87)) <=> v1(constB87))) | v39(constB87) | v1(constB87)),
% 9.39/7.01 inference(tautology,[status(thm)],[])).
% 9.39/7.01 tff(28377,plain,
% 9.39/7.01 ((~((~v39(constB87)) <=> v1(constB87))) | v39(constB87)),
% 9.39/7.01 inference(unit_resolution,[status(thm)],[28376, 5767])).
% 9.39/7.01 tff(28378,plain,
% 9.39/7.01 (v39(constB87)),
% 9.39/7.01 inference(unit_resolution,[status(thm)],[28377, 28375])).
% 9.39/7.01 tff(28379,plain,
% 9.39/7.01 ((~((~v39(constB87)) | (~v9(constB87)))) | (~v39(constB87)) | (~v9(constB87))),
% 9.39/7.01 inference(tautology,[status(thm)],[])).
% 9.39/7.01 tff(28380,plain,
% 9.39/7.01 ((~((~v39(constB87)) | (~v9(constB87)))) | (~v9(constB87))),
% 9.39/7.01 inference(unit_resolution,[status(thm)],[28379, 28378])).
% 9.39/7.01 tff(28381,plain,
% 9.39/7.01 (~((~v39(constB87)) | (~v9(constB87)))),
% 9.39/7.01 inference(unit_resolution,[status(thm)],[28380, 28373])).
% 9.39/7.01 tff(28382,plain,
% 9.39/7.01 ((~(v141(constB87) <=> (~((~v39(constB87)) | (~v9(constB87)))))) | v141(constB87) | ((~v39(constB87)) | (~v9(constB87)))),
% 9.39/7.01 inference(tautology,[status(thm)],[])).
% 9.39/7.01 tff(28383,plain,
% 9.39/7.01 (v141(constB87)),
% 9.39/7.01 inference(unit_resolution,[status(thm)],[28382, 28381, 28333])).
% 9.39/7.01 tff(28384,plain,
% 9.39/7.01 ((v141(constB87) | v26(constB87)) | (~v141(constB87))),
% 9.39/7.01 inference(tautology,[status(thm)],[])).
% 9.39/7.01 tff(28385,plain,
% 9.39/7.01 (v141(constB87) | v26(constB87)),
% 9.39/7.01 inference(unit_resolution,[status(thm)],[28384, 28383])).
% 9.39/7.01 tff(28386,plain,
% 9.39/7.01 ((~(v140(constB87) <=> (v141(constB87) | v26(constB87)))) | v140(constB87) | (~(v141(constB87) | v26(constB87)))),
% 9.39/7.01 inference(tautology,[status(thm)],[])).
% 9.39/7.01 tff(28387,plain,
% 9.39/7.01 (v140(constB87)),
% 9.39/7.01 inference(unit_resolution,[status(thm)],[28386, 28385, 28331])).
% 9.39/7.01 tff(28388,plain,
% 9.39/7.01 ((~((~v139(constB87)) <=> v140(constB87))) | (~v139(constB87)) | (~v140(constB87))),
% 9.39/7.01 inference(tautology,[status(thm)],[])).
% 9.39/7.01 tff(28389,plain,
% 9.39/7.01 (~v139(constB87)),
% 9.39/7.01 inference(unit_resolution,[status(thm)],[28388, 28387, 28329])).
% 9.39/7.01 tff(28390,plain,
% 9.39/7.01 (((~v130(constB87)) | (~v139(constB87))) | v139(constB87)),
% 9.39/7.01 inference(tautology,[status(thm)],[])).
% 9.39/7.01 tff(28391,plain,
% 9.39/7.01 ((~v130(constB87)) | (~v139(constB87))),
% 9.39/7.01 inference(unit_resolution,[status(thm)],[28390, 28389])).
% 9.39/7.01 tff(28392,plain,
% 9.39/7.01 ((~(v155(constB87) <=> (~((~v130(constB87)) | (~v139(constB87)))))) | (~v155(constB87)) | (~((~v130(constB87)) | (~v139(constB87))))),
% 9.39/7.01 inference(tautology,[status(thm)],[])).
% 9.39/7.01 tff(28393,plain,
% 9.39/7.01 (~v155(constB87)),
% 9.39/7.01 inference(unit_resolution,[status(thm)],[28392, 28391, 28327])).
% 9.39/7.01 tff(28394,plain,
% 9.39/7.01 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB87) <=> (~((~v132(constB87)) | (~v154(constB87)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB87) <=> (~((~v132(constB87)) | (~v154(constB87))))))),
% 9.39/7.01 inference(rewrite,[status(thm)],[])).
% 9.39/7.01 tff(28395,plain,
% 9.39/7.01 ((v153(constB87) <=> (~((~v154(constB87)) | (~v132(constB87))))) <=> (v153(constB87) <=> (~((~v132(constB87)) | (~v154(constB87)))))),
% 9.39/7.01 inference(rewrite,[status(thm)],[])).
% 9.39/7.01 tff(28396,plain,
% 9.39/7.01 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB87) <=> (~((~v154(constB87)) | (~v132(constB87)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB87) <=> (~((~v132(constB87)) | (~v154(constB87))))))),
% 9.39/7.01 inference(monotonicity,[status(thm)],[28395])).
% 9.39/7.01 tff(28397,plain,
% 9.39/7.01 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB87) <=> (~((~v154(constB87)) | (~v132(constB87)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB87) <=> (~((~v132(constB87)) | (~v154(constB87))))))),
% 9.39/7.01 inference(transitivity,[status(thm)],[28396, 28394])).
% 9.39/7.01 tff(28398,plain,
% 9.39/7.01 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB87) <=> (~((~v154(constB87)) | (~v132(constB87)))))),
% 9.39/7.01 inference(quant_inst,[status(thm)],[])).
% 9.39/7.01 tff(28399,plain,
% 9.39/7.01 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB87) <=> (~((~v132(constB87)) | (~v154(constB87)))))),
% 9.39/7.01 inference(modus_ponens,[status(thm)],[28398, 28397])).
% 9.39/7.01 tff(28400,plain,
% 9.39/7.01 (v153(constB87) <=> (~((~v132(constB87)) | (~v154(constB87))))),
% 9.39/7.01 inference(unit_resolution,[status(thm)],[28399, 399])).
% 9.39/7.01 tff(28401,plain,
% 9.39/7.01 ((~![VarNext: $i] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB87) <=> v137(constB87))),
% 9.39/7.01 inference(quant_inst,[status(thm)],[])).
% 9.39/7.01 tff(28402,plain,
% 9.39/7.01 (v132(constB87) <=> v137(constB87)),
% 9.39/7.01 inference(unit_resolution,[status(thm)],[28401, 558])).
% 9.39/7.01 tff(28403,plain,
% 9.39/7.01 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB86, constB87)) | (v137(constB87) <=> v135(constB86)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB86, constB87)) | (v137(constB87) <=> v135(constB86)))),
% 9.39/7.02 inference(rewrite,[status(thm)],[])).
% 9.39/7.02 tff(28404,plain,
% 9.39/7.02 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB86, constB87)) | (v137(constB87) <=> v135(constB86)))),
% 9.39/7.02 inference(quant_inst,[status(thm)],[])).
% 9.39/7.02 tff(28405,plain,
% 9.39/7.02 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB86, constB87)) | (v137(constB87) <=> v135(constB86))),
% 9.39/7.02 inference(modus_ponens,[status(thm)],[28404, 28403])).
% 9.39/7.02 tff(28406,plain,
% 9.39/7.02 (v137(constB87) <=> v135(constB86)),
% 9.39/7.02 inference(unit_resolution,[status(thm)],[28405, 5810, 570])).
% 9.39/7.02 tff(28407,plain,
% 9.39/7.02 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB86) <=> (v138(constB86) | v142(constB86)))),
% 9.39/7.02 inference(quant_inst,[status(thm)],[])).
% 9.39/7.02 tff(28408,plain,
% 9.39/7.02 (v135(constB86) <=> (v138(constB86) | v142(constB86))),
% 9.39/7.02 inference(unit_resolution,[status(thm)],[28407, 584])).
% 9.39/7.02 tff(28409,plain,
% 9.39/7.02 ((~![VarCurr: $i] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB86) <=> (~((~v143(constB86)) | (~v144(constB86)))))),
% 9.39/7.02 inference(quant_inst,[status(thm)],[])).
% 9.39/7.02 tff(28410,plain,
% 9.39/7.02 (v142(constB86) <=> (~((~v143(constB86)) | (~v144(constB86))))),
% 9.39/7.02 inference(unit_resolution,[status(thm)],[28409, 596])).
% 9.39/7.02 tff(28411,plain,
% 9.39/7.02 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB86) <=> (~((~v141(constB86)) | (~v145(constB86)))))),
% 9.39/7.02 inference(quant_inst,[status(thm)],[])).
% 9.39/7.02 tff(28412,plain,
% 9.39/7.02 (v144(constB86) <=> (~((~v141(constB86)) | (~v145(constB86))))),
% 9.39/7.02 inference(unit_resolution,[status(thm)],[28411, 608])).
% 9.39/7.02 tff(28413,plain,
% 9.39/7.02 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB86) <=> (~((~v39(constB86)) | (~v9(constB86)))))),
% 9.39/7.02 inference(quant_inst,[status(thm)],[])).
% 9.39/7.02 tff(28414,plain,
% 9.39/7.02 (v141(constB86) <=> (~((~v39(constB86)) | (~v9(constB86))))),
% 9.39/7.02 inference(unit_resolution,[status(thm)],[28413, 130])).
% 9.39/7.02 tff(28415,plain,
% 9.39/7.02 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB86)) <=> v1(constB86))),
% 9.39/7.02 inference(quant_inst,[status(thm)],[])).
% 9.39/7.02 tff(28416,plain,
% 9.39/7.02 ((~v39(constB86)) <=> v1(constB86)),
% 9.39/7.02 inference(unit_resolution,[status(thm)],[28415, 139])).
% 9.39/7.02 tff(28417,plain,
% 9.39/7.02 ((~((~v39(constB86)) <=> v1(constB86))) | (~v39(constB86)) | (~v1(constB86))),
% 9.39/7.02 inference(tautology,[status(thm)],[])).
% 9.39/7.02 tff(28418,plain,
% 9.39/7.02 ((~((~v39(constB86)) <=> v1(constB86))) | (~v39(constB86))),
% 9.39/7.02 inference(unit_resolution,[status(thm)],[28417, 5872])).
% 9.39/7.02 tff(28419,plain,
% 9.39/7.02 (~v39(constB86)),
% 9.39/7.02 inference(unit_resolution,[status(thm)],[28418, 28416])).
% 9.39/7.02 tff(28420,plain,
% 9.39/7.02 (((~v39(constB86)) | (~v9(constB86))) | v39(constB86)),
% 9.39/7.02 inference(tautology,[status(thm)],[])).
% 9.39/7.02 tff(28421,plain,
% 9.39/7.02 ((~v39(constB86)) | (~v9(constB86))),
% 9.39/7.02 inference(unit_resolution,[status(thm)],[28420, 28419])).
% 9.39/7.02 tff(28422,plain,
% 9.39/7.02 ((~(v141(constB86) <=> (~((~v39(constB86)) | (~v9(constB86)))))) | (~v141(constB86)) | (~((~v39(constB86)) | (~v9(constB86))))),
% 9.39/7.02 inference(tautology,[status(thm)],[])).
% 9.39/7.02 tff(28423,plain,
% 9.39/7.02 ((~(v141(constB86) <=> (~((~v39(constB86)) | (~v9(constB86)))))) | (~v141(constB86))),
% 9.39/7.02 inference(unit_resolution,[status(thm)],[28422, 28421])).
% 9.39/7.02 tff(28424,plain,
% 9.39/7.02 (~v141(constB86)),
% 9.39/7.02 inference(unit_resolution,[status(thm)],[28423, 28414])).
% 9.39/7.02 tff(28425,plain,
% 9.39/7.02 (((~v141(constB86)) | (~v145(constB86))) | v141(constB86)),
% 9.39/7.02 inference(tautology,[status(thm)],[])).
% 9.39/7.02 tff(28426,plain,
% 9.39/7.02 ((~v141(constB86)) | (~v145(constB86))),
% 9.39/7.02 inference(unit_resolution,[status(thm)],[28425, 28424])).
% 9.39/7.02 tff(28427,plain,
% 9.39/7.02 ((~(v144(constB86) <=> (~((~v141(constB86)) | (~v145(constB86)))))) | (~v144(constB86)) | (~((~v141(constB86)) | (~v145(constB86))))),
% 9.39/7.02 inference(tautology,[status(thm)],[])).
% 9.39/7.02 tff(28428,plain,
% 9.39/7.02 ((~(v144(constB86) <=> (~((~v141(constB86)) | (~v145(constB86)))))) | (~v144(constB86))),
% 9.39/7.02 inference(unit_resolution,[status(thm)],[28427, 28426])).
% 9.39/7.02 tff(28429,plain,
% 9.39/7.02 (~v144(constB86)),
% 9.39/7.02 inference(unit_resolution,[status(thm)],[28428, 28412])).
% 9.39/7.02 tff(28430,plain,
% 9.39/7.02 (((~v143(constB86)) | (~v144(constB86))) | v144(constB86)),
% 9.39/7.02 inference(tautology,[status(thm)],[])).
% 9.39/7.02 tff(28431,plain,
% 9.39/7.02 ((~v143(constB86)) | (~v144(constB86))),
% 9.39/7.02 inference(unit_resolution,[status(thm)],[28430, 28429])).
% 9.39/7.02 tff(28432,plain,
% 9.39/7.02 ((~(v142(constB86) <=> (~((~v143(constB86)) | (~v144(constB86)))))) | (~v142(constB86)) | (~((~v143(constB86)) | (~v144(constB86))))),
% 9.39/7.02 inference(tautology,[status(thm)],[])).
% 9.39/7.02 tff(28433,plain,
% 9.39/7.02 (~v142(constB86)),
% 9.39/7.02 inference(unit_resolution,[status(thm)],[28432, 28431, 28410])).
% 9.39/7.02 tff(28434,plain,
% 9.39/7.02 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB86) <=> (~((~v132(constB86)) | (~v139(constB86)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB86) <=> (~((~v132(constB86)) | (~v139(constB86))))))),
% 9.39/7.02 inference(rewrite,[status(thm)],[])).
% 9.39/7.02 tff(28435,plain,
% 9.39/7.02 ((v138(constB86) <=> (~((~v139(constB86)) | (~v132(constB86))))) <=> (v138(constB86) <=> (~((~v132(constB86)) | (~v139(constB86)))))),
% 9.39/7.02 inference(rewrite,[status(thm)],[])).
% 9.39/7.02 tff(28436,plain,
% 9.39/7.02 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB86) <=> (~((~v139(constB86)) | (~v132(constB86)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB86) <=> (~((~v132(constB86)) | (~v139(constB86))))))),
% 9.39/7.02 inference(monotonicity,[status(thm)],[28435])).
% 9.39/7.02 tff(28437,plain,
% 9.39/7.02 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB86) <=> (~((~v139(constB86)) | (~v132(constB86)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB86) <=> (~((~v132(constB86)) | (~v139(constB86))))))),
% 9.39/7.02 inference(transitivity,[status(thm)],[28436, 28434])).
% 9.39/7.02 tff(28438,plain,
% 9.39/7.02 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB86) <=> (~((~v139(constB86)) | (~v132(constB86)))))),
% 9.39/7.02 inference(quant_inst,[status(thm)],[])).
% 9.39/7.02 tff(28439,plain,
% 9.39/7.02 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB86) <=> (~((~v132(constB86)) | (~v139(constB86)))))),
% 9.39/7.02 inference(modus_ponens,[status(thm)],[28438, 28437])).
% 9.39/7.02 tff(28440,plain,
% 9.39/7.02 (v138(constB86) <=> (~((~v132(constB86)) | (~v139(constB86))))),
% 9.39/7.02 inference(unit_resolution,[status(thm)],[28439, 644])).
% 9.39/7.02 tff(28441,plain,
% 9.39/7.02 ((~![VarNext: $i] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB86) <=> v137(constB86))),
% 9.39/7.02 inference(quant_inst,[status(thm)],[])).
% 9.39/7.02 tff(28442,plain,
% 9.39/7.02 (v132(constB86) <=> v137(constB86)),
% 9.39/7.02 inference(unit_resolution,[status(thm)],[28441, 558])).
% 9.39/7.02 tff(28443,plain,
% 9.39/7.02 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB85, constB86)) | (v137(constB86) <=> v135(constB85)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB85, constB86)) | (v137(constB86) <=> v135(constB85)))),
% 9.39/7.02 inference(rewrite,[status(thm)],[])).
% 9.39/7.02 tff(28444,plain,
% 9.39/7.02 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB85, constB86)) | (v137(constB86) <=> v135(constB85)))),
% 9.39/7.02 inference(quant_inst,[status(thm)],[])).
% 9.39/7.02 tff(28445,plain,
% 9.39/7.02 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB85, constB86)) | (v137(constB86) <=> v135(constB85))),
% 9.39/7.02 inference(modus_ponens,[status(thm)],[28444, 28443])).
% 9.39/7.02 tff(28446,plain,
% 9.39/7.02 (v137(constB86) <=> v135(constB85)),
% 9.39/7.02 inference(unit_resolution,[status(thm)],[28445, 5842, 570])).
% 9.39/7.02 tff(28447,plain,
% 9.39/7.02 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB85) <=> (v138(constB85) | v142(constB85)))),
% 9.39/7.02 inference(quant_inst,[status(thm)],[])).
% 9.39/7.02 tff(28448,plain,
% 9.39/7.02 (v135(constB85) <=> (v138(constB85) | v142(constB85))),
% 9.39/7.02 inference(unit_resolution,[status(thm)],[28447, 584])).
% 9.39/7.02 tff(28449,plain,
% 9.39/7.02 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB85) <=> (~((~v132(constB85)) | (~v139(constB85)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB85) <=> (~((~v132(constB85)) | (~v139(constB85))))))),
% 9.39/7.02 inference(rewrite,[status(thm)],[])).
% 9.39/7.02 tff(28450,plain,
% 9.39/7.02 ((v138(constB85) <=> (~((~v139(constB85)) | (~v132(constB85))))) <=> (v138(constB85) <=> (~((~v132(constB85)) | (~v139(constB85)))))),
% 9.39/7.02 inference(rewrite,[status(thm)],[])).
% 9.39/7.02 tff(28451,plain,
% 9.39/7.02 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB85) <=> (~((~v139(constB85)) | (~v132(constB85)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB85) <=> (~((~v132(constB85)) | (~v139(constB85))))))),
% 9.39/7.02 inference(monotonicity,[status(thm)],[28450])).
% 9.39/7.02 tff(28452,plain,
% 9.39/7.02 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB85) <=> (~((~v139(constB85)) | (~v132(constB85)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB85) <=> (~((~v132(constB85)) | (~v139(constB85))))))),
% 9.39/7.02 inference(transitivity,[status(thm)],[28451, 28449])).
% 9.39/7.02 tff(28453,plain,
% 9.39/7.02 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB85) <=> (~((~v139(constB85)) | (~v132(constB85)))))),
% 9.39/7.02 inference(quant_inst,[status(thm)],[])).
% 9.39/7.02 tff(28454,plain,
% 9.39/7.02 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB85) <=> (~((~v132(constB85)) | (~v139(constB85)))))),
% 9.39/7.02 inference(modus_ponens,[status(thm)],[28453, 28452])).
% 9.39/7.02 tff(28455,plain,
% 9.39/7.02 (v138(constB85) <=> (~((~v132(constB85)) | (~v139(constB85))))),
% 9.39/7.02 inference(unit_resolution,[status(thm)],[28454, 644])).
% 9.39/7.02 tff(28456,plain,
% 9.39/7.02 ((~![VarCurr: $i] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB85)) <=> v140(constB85))),
% 9.39/7.02 inference(quant_inst,[status(thm)],[])).
% 9.39/7.02 tff(28457,plain,
% 9.39/7.02 ((~v139(constB85)) <=> v140(constB85)),
% 9.39/7.02 inference(unit_resolution,[status(thm)],[28456, 203])).
% 9.39/7.02 tff(28458,plain,
% 9.39/7.02 ((~![VarCurr: $i] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB85) <=> (v141(constB85) | v26(constB85)))),
% 9.39/7.02 inference(quant_inst,[status(thm)],[])).
% 9.39/7.02 tff(28459,plain,
% 9.39/7.02 (v140(constB85) <=> (v141(constB85) | v26(constB85))),
% 9.39/7.02 inference(unit_resolution,[status(thm)],[28458, 212])).
% 9.39/7.02 tff(28460,plain,
% 9.39/7.02 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB85) <=> (~((~v39(constB85)) | (~v9(constB85)))))),
% 9.39/7.02 inference(quant_inst,[status(thm)],[])).
% 9.39/7.02 tff(28461,plain,
% 9.39/7.02 (v141(constB85) <=> (~((~v39(constB85)) | (~v9(constB85))))),
% 9.39/7.02 inference(unit_resolution,[status(thm)],[28460, 130])).
% 9.39/7.02 tff(28462,plain,
% 9.39/7.02 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB85, constB86)) | (v13(constB86) <=> v9(constB85)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB85, constB86)) | (v13(constB86) <=> v9(constB85)))),
% 9.39/7.02 inference(rewrite,[status(thm)],[])).
% 9.39/7.02 tff(28463,plain,
% 9.39/7.02 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB85, constB86)) | (v13(constB86) <=> v9(constB85)))),
% 9.39/7.02 inference(quant_inst,[status(thm)],[])).
% 9.39/7.02 tff(28464,plain,
% 9.39/7.02 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB85, constB86)) | (v13(constB86) <=> v9(constB85))),
% 9.39/7.02 inference(modus_ponens,[status(thm)],[28463, 28462])).
% 9.39/7.02 tff(28465,plain,
% 9.39/7.02 (v13(constB86) <=> v9(constB85)),
% 9.39/7.02 inference(unit_resolution,[status(thm)],[28464, 5842, 226])).
% 9.39/7.02 tff(28466,plain,
% 9.39/7.02 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB86) <=> v13(constB86))),
% 9.39/7.02 inference(quant_inst,[status(thm)],[])).
% 9.39/7.02 tff(28467,plain,
% 9.39/7.02 (v6(constB86) <=> v13(constB86)),
% 9.39/7.02 inference(unit_resolution,[status(thm)],[28466, 240])).
% 9.39/7.02 tff(28468,plain,
% 9.39/7.02 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB86)) <=> v6(constB86))),
% 9.39/7.02 inference(quant_inst,[status(thm)],[])).
% 9.39/7.02 tff(28469,plain,
% 9.39/7.02 ((~v21(constB86)) <=> v6(constB86)),
% 9.39/7.02 inference(unit_resolution,[status(thm)],[28468, 249])).
% 9.39/7.02 tff(28470,plain,
% 9.39/7.02 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB86) <=> (v20(constB86) | v21(constB86)))),
% 9.39/7.02 inference(quant_inst,[status(thm)],[])).
% 9.39/7.02 tff(28471,plain,
% 9.39/7.02 (v19(constB86) <=> (v20(constB86) | v21(constB86))),
% 9.39/7.02 inference(unit_resolution,[status(thm)],[28470, 258])).
% 9.39/7.02 tff(28472,plain,
% 9.39/7.02 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB86) <=> (~((~v19(constB86)) | (~v22(constB86)))))),
% 9.39/7.02 inference(quant_inst,[status(thm)],[])).
% 9.39/7.02 tff(28473,plain,
% 9.39/7.02 (v18(constB86) <=> (~((~v19(constB86)) | (~v22(constB86))))),
% 9.39/7.02 inference(unit_resolution,[status(thm)],[28472, 270])).
% 9.39/7.02 tff(28474,plain,
% 9.39/7.02 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB86)) <=> v18(constB86))),
% 9.39/7.02 inference(quant_inst,[status(thm)],[])).
% 9.39/7.02 tff(28475,plain,
% 9.39/7.02 ((~v4(constB86)) <=> v18(constB86)),
% 9.39/7.02 inference(unit_resolution,[status(thm)],[28474, 279])).
% 9.39/7.02 tff(28476,plain,
% 9.39/7.02 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB86)),
% 9.39/7.02 inference(quant_inst,[status(thm)],[])).
% 9.39/7.02 tff(28477,plain,
% 9.39/7.02 (v4(constB86)),
% 9.39/7.02 inference(unit_resolution,[status(thm)],[28476, 288])).
% 9.39/7.02 tff(28478,plain,
% 9.39/7.02 ((~((~v4(constB86)) <=> v18(constB86))) | (~v4(constB86)) | (~v18(constB86))),
% 9.39/7.02 inference(tautology,[status(thm)],[])).
% 9.39/7.02 tff(28479,plain,
% 9.39/7.02 (~v18(constB86)),
% 9.39/7.02 inference(unit_resolution,[status(thm)],[28478, 28477, 28475])).
% 9.39/7.02 tff(28480,plain,
% 9.39/7.02 ((~(v18(constB86) <=> (~((~v19(constB86)) | (~v22(constB86)))))) | v18(constB86) | ((~v19(constB86)) | (~v22(constB86)))),
% 9.39/7.02 inference(tautology,[status(thm)],[])).
% 9.39/7.02 tff(28481,plain,
% 9.39/7.02 ((~v19(constB86)) | (~v22(constB86))),
% 9.39/7.02 inference(unit_resolution,[status(thm)],[28480, 28479, 28473])).
% 9.39/7.02 tff(28482,plain,
% 9.39/7.02 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB86) <=> (v1(constB86) | v6(constB86)))),
% 9.39/7.02 inference(quant_inst,[status(thm)],[])).
% 9.39/7.02 tff(28483,plain,
% 9.39/7.02 (v22(constB86) <=> (v1(constB86) | v6(constB86))),
% 9.39/7.02 inference(unit_resolution,[status(thm)],[28482, 301])).
% 9.39/7.02 tff(28484,plain,
% 9.39/7.02 ((v1(constB86) | v6(constB86)) | (~v1(constB86))),
% 9.39/7.02 inference(tautology,[status(thm)],[])).
% 9.39/7.02 tff(28485,plain,
% 9.39/7.02 (v1(constB86) | v6(constB86)),
% 9.39/7.02 inference(unit_resolution,[status(thm)],[28484, 5872])).
% 9.39/7.02 tff(28486,plain,
% 9.39/7.02 ((~(v22(constB86) <=> (v1(constB86) | v6(constB86)))) | v22(constB86) | (~(v1(constB86) | v6(constB86)))),
% 9.39/7.02 inference(tautology,[status(thm)],[])).
% 9.39/7.02 tff(28487,plain,
% 9.39/7.02 ((~(v22(constB86) <=> (v1(constB86) | v6(constB86)))) | v22(constB86)),
% 9.39/7.02 inference(unit_resolution,[status(thm)],[28486, 28485])).
% 9.39/7.02 tff(28488,plain,
% 9.39/7.02 (v22(constB86)),
% 9.39/7.02 inference(unit_resolution,[status(thm)],[28487, 28483])).
% 9.39/7.02 tff(28489,plain,
% 9.39/7.02 ((~((~v19(constB86)) | (~v22(constB86)))) | (~v19(constB86)) | (~v22(constB86))),
% 9.39/7.02 inference(tautology,[status(thm)],[])).
% 9.39/7.02 tff(28490,plain,
% 9.39/7.02 ((~((~v19(constB86)) | (~v22(constB86)))) | (~v19(constB86))),
% 9.39/7.02 inference(unit_resolution,[status(thm)],[28489, 28488])).
% 9.39/7.02 tff(28491,plain,
% 9.39/7.02 (~v19(constB86)),
% 9.39/7.02 inference(unit_resolution,[status(thm)],[28490, 28481])).
% 9.39/7.02 tff(28492,plain,
% 9.39/7.02 ((~(v19(constB86) <=> (v20(constB86) | v21(constB86)))) | v19(constB86) | (~(v20(constB86) | v21(constB86)))),
% 9.39/7.02 inference(tautology,[status(thm)],[])).
% 9.39/7.02 tff(28493,plain,
% 9.39/7.02 (~(v20(constB86) | v21(constB86))),
% 9.39/7.02 inference(unit_resolution,[status(thm)],[28492, 28491, 28471])).
% 9.39/7.02 tff(28494,plain,
% 9.39/7.02 ((v20(constB86) | v21(constB86)) | (~v21(constB86))),
% 9.39/7.02 inference(tautology,[status(thm)],[])).
% 9.39/7.02 tff(28495,plain,
% 9.39/7.02 (~v21(constB86)),
% 9.39/7.02 inference(unit_resolution,[status(thm)],[28494, 28493])).
% 9.39/7.02 tff(28496,plain,
% 9.39/7.02 ((~((~v21(constB86)) <=> v6(constB86))) | v21(constB86) | v6(constB86)),
% 9.39/7.02 inference(tautology,[status(thm)],[])).
% 9.39/7.02 tff(28497,plain,
% 9.39/7.02 (v6(constB86)),
% 9.39/7.02 inference(unit_resolution,[status(thm)],[28496, 28495, 28469])).
% 9.39/7.02 tff(28498,plain,
% 9.39/7.02 ((~(v6(constB86) <=> v13(constB86))) | (~v6(constB86)) | v13(constB86)),
% 9.39/7.02 inference(tautology,[status(thm)],[])).
% 9.39/7.02 tff(28499,plain,
% 9.39/7.02 (v13(constB86)),
% 9.39/7.02 inference(unit_resolution,[status(thm)],[28498, 28497, 28467])).
% 9.39/7.02 tff(28500,plain,
% 9.39/7.02 ((~(v13(constB86) <=> v9(constB85))) | (~v13(constB86)) | v9(constB85)),
% 9.39/7.02 inference(tautology,[status(thm)],[])).
% 9.39/7.02 tff(28501,plain,
% 9.39/7.02 (v9(constB85)),
% 9.39/7.02 inference(unit_resolution,[status(thm)],[28500, 28499, 28465])).
% 9.39/7.02 tff(28502,plain,
% 9.39/7.02 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB85)) <=> v1(constB85))),
% 9.39/7.02 inference(quant_inst,[status(thm)],[])).
% 9.39/7.02 tff(28503,plain,
% 9.39/7.02 ((~v39(constB85)) <=> v1(constB85)),
% 9.39/7.02 inference(unit_resolution,[status(thm)],[28502, 139])).
% 9.39/7.02 tff(28504,plain,
% 9.39/7.02 ((~((~v39(constB85)) <=> v1(constB85))) | v39(constB85) | v1(constB85)),
% 9.39/7.02 inference(tautology,[status(thm)],[])).
% 9.39/7.02 tff(28505,plain,
% 9.39/7.02 ((~((~v39(constB85)) <=> v1(constB85))) | v39(constB85)),
% 9.39/7.02 inference(unit_resolution,[status(thm)],[28504, 5864])).
% 9.39/7.02 tff(28506,plain,
% 9.39/7.02 (v39(constB85)),
% 9.39/7.02 inference(unit_resolution,[status(thm)],[28505, 28503])).
% 9.39/7.02 tff(28507,plain,
% 9.39/7.02 ((~((~v39(constB85)) | (~v9(constB85)))) | (~v39(constB85)) | (~v9(constB85))),
% 9.39/7.02 inference(tautology,[status(thm)],[])).
% 9.39/7.02 tff(28508,plain,
% 9.39/7.02 ((~((~v39(constB85)) | (~v9(constB85)))) | (~v9(constB85))),
% 9.39/7.02 inference(unit_resolution,[status(thm)],[28507, 28506])).
% 9.39/7.02 tff(28509,plain,
% 9.39/7.02 (~((~v39(constB85)) | (~v9(constB85)))),
% 9.39/7.02 inference(unit_resolution,[status(thm)],[28508, 28501])).
% 9.39/7.02 tff(28510,plain,
% 9.39/7.02 ((~(v141(constB85) <=> (~((~v39(constB85)) | (~v9(constB85)))))) | v141(constB85) | ((~v39(constB85)) | (~v9(constB85)))),
% 9.51/7.02 inference(tautology,[status(thm)],[])).
% 9.51/7.02 tff(28511,plain,
% 9.51/7.02 (v141(constB85)),
% 9.51/7.02 inference(unit_resolution,[status(thm)],[28510, 28509, 28461])).
% 9.51/7.02 tff(28512,plain,
% 9.51/7.02 ((v141(constB85) | v26(constB85)) | (~v141(constB85))),
% 9.51/7.02 inference(tautology,[status(thm)],[])).
% 9.51/7.02 tff(28513,plain,
% 9.51/7.02 (v141(constB85) | v26(constB85)),
% 9.51/7.02 inference(unit_resolution,[status(thm)],[28512, 28511])).
% 9.51/7.02 tff(28514,plain,
% 9.51/7.02 ((~(v140(constB85) <=> (v141(constB85) | v26(constB85)))) | v140(constB85) | (~(v141(constB85) | v26(constB85)))),
% 9.51/7.02 inference(tautology,[status(thm)],[])).
% 9.51/7.02 tff(28515,plain,
% 9.51/7.02 (v140(constB85)),
% 9.51/7.02 inference(unit_resolution,[status(thm)],[28514, 28513, 28459])).
% 9.51/7.02 tff(28516,plain,
% 9.51/7.02 ((~((~v139(constB85)) <=> v140(constB85))) | (~v139(constB85)) | (~v140(constB85))),
% 9.51/7.02 inference(tautology,[status(thm)],[])).
% 9.51/7.02 tff(28517,plain,
% 9.51/7.02 (~v139(constB85)),
% 9.51/7.02 inference(unit_resolution,[status(thm)],[28516, 28515, 28457])).
% 9.51/7.02 tff(28518,plain,
% 9.51/7.02 (((~v132(constB85)) | (~v139(constB85))) | v139(constB85)),
% 9.51/7.02 inference(tautology,[status(thm)],[])).
% 9.51/7.02 tff(28519,plain,
% 9.51/7.02 ((~v132(constB85)) | (~v139(constB85))),
% 9.51/7.02 inference(unit_resolution,[status(thm)],[28518, 28517])).
% 9.51/7.02 tff(28520,plain,
% 9.51/7.02 ((~(v138(constB85) <=> (~((~v132(constB85)) | (~v139(constB85)))))) | (~v138(constB85)) | (~((~v132(constB85)) | (~v139(constB85))))),
% 9.51/7.02 inference(tautology,[status(thm)],[])).
% 9.51/7.02 tff(28521,plain,
% 9.51/7.02 (~v138(constB85)),
% 9.51/7.02 inference(unit_resolution,[status(thm)],[28520, 28519, 28455])).
% 9.51/7.02 tff(28522,plain,
% 9.51/7.02 ((~![VarCurr: $i] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB85) <=> (~((~v143(constB85)) | (~v144(constB85)))))),
% 9.51/7.02 inference(quant_inst,[status(thm)],[])).
% 9.51/7.02 tff(28523,plain,
% 9.51/7.02 (v142(constB85) <=> (~((~v143(constB85)) | (~v144(constB85))))),
% 9.51/7.02 inference(unit_resolution,[status(thm)],[28522, 596])).
% 9.51/7.02 tff(28524,plain,
% 9.51/7.02 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB85) <=> (~((~v141(constB85)) | (~v145(constB85)))))),
% 9.51/7.02 inference(quant_inst,[status(thm)],[])).
% 9.51/7.02 tff(28525,plain,
% 9.51/7.02 (v144(constB85) <=> (~((~v141(constB85)) | (~v145(constB85))))),
% 9.51/7.02 inference(unit_resolution,[status(thm)],[28524, 608])).
% 9.51/7.02 tff(28526,plain,
% 9.51/7.02 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB85) <=> (~(v84(constB85, bitIndex2) | v84(constB85, bitIndex1) | (~v84(constB85, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB85) <=> (~(v84(constB85, bitIndex2) | v84(constB85, bitIndex1) | (~v84(constB85, bitIndex0))))))),
% 9.51/7.02 inference(rewrite,[status(thm)],[])).
% 9.51/7.02 tff(28527,plain,
% 9.51/7.02 ((v145(constB85) <=> (~(v84(constB85, bitIndex1) | v84(constB85, bitIndex2) | (~v84(constB85, bitIndex0))))) <=> (v145(constB85) <=> (~(v84(constB85, bitIndex2) | v84(constB85, bitIndex1) | (~v84(constB85, bitIndex0)))))),
% 9.51/7.02 inference(rewrite,[status(thm)],[])).
% 9.51/7.02 tff(28528,plain,
% 9.51/7.02 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB85) <=> (~(v84(constB85, bitIndex1) | v84(constB85, bitIndex2) | (~v84(constB85, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB85) <=> (~(v84(constB85, bitIndex2) | v84(constB85, bitIndex1) | (~v84(constB85, bitIndex0))))))),
% 9.51/7.02 inference(monotonicity,[status(thm)],[28527])).
% 9.51/7.02 tff(28529,plain,
% 9.51/7.02 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB85) <=> (~(v84(constB85, bitIndex1) | v84(constB85, bitIndex2) | (~v84(constB85, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB85) <=> (~(v84(constB85, bitIndex2) | v84(constB85, bitIndex1) | (~v84(constB85, bitIndex0))))))),
% 9.51/7.02 inference(transitivity,[status(thm)],[28528, 28526])).
% 9.51/7.02 tff(28530,plain,
% 9.51/7.02 ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB85) <=> (~(v84(constB85, bitIndex1) | v84(constB85, bitIndex2) | (~v84(constB85, bitIndex0)))))),
% 9.51/7.02 inference(quant_inst,[status(thm)],[])).
% 9.51/7.02 tff(28531,plain,
% 9.51/7.02 ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB85) <=> (~(v84(constB85, bitIndex2) | v84(constB85, bitIndex1) | (~v84(constB85, bitIndex0)))))),
% 9.51/7.02 inference(modus_ponens,[status(thm)],[28530, 28529])).
% 9.51/7.02 tff(28532,plain,
% 9.51/7.02 (v145(constB85) <=> (~(v84(constB85, bitIndex2) | v84(constB85, bitIndex1) | (~v84(constB85, bitIndex0))))),
% 9.51/7.02 inference(unit_resolution,[status(thm)],[28531, 755])).
% 9.51/7.02 tff(28533,plain,
% 9.51/7.02 ((~(v145(constB85) <=> (~(v84(constB85, bitIndex2) | v84(constB85, bitIndex1) | (~v84(constB85, bitIndex0)))))) | (~v145(constB85)) | (~(v84(constB85, bitIndex2) | v84(constB85, bitIndex1) | (~v84(constB85, bitIndex0))))),
% 9.51/7.02 inference(tautology,[status(thm)],[])).
% 9.51/7.02 tff(28534,plain,
% 9.51/7.02 (~v145(constB85)),
% 9.51/7.02 inference(unit_resolution,[status(thm)],[28533, 16892, 28532])).
% 9.51/7.02 tff(28535,plain,
% 9.51/7.02 (((~v141(constB85)) | (~v145(constB85))) | v145(constB85)),
% 9.51/7.02 inference(tautology,[status(thm)],[])).
% 9.51/7.02 tff(28536,plain,
% 9.51/7.02 ((~v141(constB85)) | (~v145(constB85))),
% 9.51/7.02 inference(unit_resolution,[status(thm)],[28535, 28534])).
% 9.51/7.02 tff(28537,plain,
% 9.51/7.02 ((~(v144(constB85) <=> (~((~v141(constB85)) | (~v145(constB85)))))) | (~v144(constB85)) | (~((~v141(constB85)) | (~v145(constB85))))),
% 9.51/7.02 inference(tautology,[status(thm)],[])).
% 9.51/7.02 tff(28538,plain,
% 9.51/7.02 (~v144(constB85)),
% 9.51/7.02 inference(unit_resolution,[status(thm)],[28537, 28536, 28525])).
% 9.51/7.02 tff(28539,plain,
% 9.51/7.02 (((~v143(constB85)) | (~v144(constB85))) | v144(constB85)),
% 9.51/7.02 inference(tautology,[status(thm)],[])).
% 9.51/7.02 tff(28540,plain,
% 9.51/7.02 ((~v143(constB85)) | (~v144(constB85))),
% 9.51/7.02 inference(unit_resolution,[status(thm)],[28539, 28538])).
% 9.51/7.02 tff(28541,plain,
% 9.51/7.02 ((~(v142(constB85) <=> (~((~v143(constB85)) | (~v144(constB85)))))) | (~v142(constB85)) | (~((~v143(constB85)) | (~v144(constB85))))),
% 9.51/7.02 inference(tautology,[status(thm)],[])).
% 9.51/7.02 tff(28542,plain,
% 9.51/7.02 (~v142(constB85)),
% 9.51/7.02 inference(unit_resolution,[status(thm)],[28541, 28540, 28523])).
% 9.51/7.02 tff(28543,plain,
% 9.51/7.02 ((~(v138(constB85) | v142(constB85))) | v138(constB85) | v142(constB85)),
% 9.51/7.02 inference(tautology,[status(thm)],[])).
% 9.51/7.02 tff(28544,plain,
% 9.51/7.02 (~(v138(constB85) | v142(constB85))),
% 9.51/7.02 inference(unit_resolution,[status(thm)],[28543, 28542, 28521])).
% 9.51/7.02 tff(28545,plain,
% 9.51/7.02 ((~(v135(constB85) <=> (v138(constB85) | v142(constB85)))) | (~v135(constB85)) | (v138(constB85) | v142(constB85))),
% 9.51/7.02 inference(tautology,[status(thm)],[])).
% 9.51/7.02 tff(28546,plain,
% 9.51/7.02 (~v135(constB85)),
% 9.51/7.02 inference(unit_resolution,[status(thm)],[28545, 28544, 28448])).
% 9.51/7.02 tff(28547,plain,
% 9.51/7.02 ((~(v137(constB86) <=> v135(constB85))) | (~v137(constB86)) | v135(constB85)),
% 9.51/7.02 inference(tautology,[status(thm)],[])).
% 9.51/7.02 tff(28548,plain,
% 9.51/7.02 (~v137(constB86)),
% 9.51/7.02 inference(unit_resolution,[status(thm)],[28547, 28546, 28446])).
% 9.51/7.02 tff(28549,plain,
% 9.51/7.02 ((~(v132(constB86) <=> v137(constB86))) | (~v132(constB86)) | v137(constB86)),
% 9.51/7.02 inference(tautology,[status(thm)],[])).
% 9.51/7.02 tff(28550,plain,
% 9.51/7.02 (~v132(constB86)),
% 9.51/7.02 inference(unit_resolution,[status(thm)],[28549, 28548, 28442])).
% 9.51/7.02 tff(28551,plain,
% 9.51/7.02 (((~v132(constB86)) | (~v139(constB86))) | v132(constB86)),
% 9.51/7.02 inference(tautology,[status(thm)],[])).
% 9.51/7.02 tff(28552,plain,
% 9.51/7.02 ((~v132(constB86)) | (~v139(constB86))),
% 9.51/7.02 inference(unit_resolution,[status(thm)],[28551, 28550])).
% 9.51/7.02 tff(28553,plain,
% 9.51/7.02 ((~(v138(constB86) <=> (~((~v132(constB86)) | (~v139(constB86)))))) | (~v138(constB86)) | (~((~v132(constB86)) | (~v139(constB86))))),
% 9.51/7.02 inference(tautology,[status(thm)],[])).
% 9.51/7.02 tff(28554,plain,
% 9.51/7.02 (~v138(constB86)),
% 9.51/7.02 inference(unit_resolution,[status(thm)],[28553, 28552, 28440])).
% 9.51/7.02 tff(28555,plain,
% 9.51/7.02 ((~(v138(constB86) | v142(constB86))) | v138(constB86) | v142(constB86)),
% 9.51/7.02 inference(tautology,[status(thm)],[])).
% 9.51/7.02 tff(28556,plain,
% 9.51/7.02 (~(v138(constB86) | v142(constB86))),
% 9.51/7.02 inference(unit_resolution,[status(thm)],[28555, 28554, 28433])).
% 9.51/7.02 tff(28557,plain,
% 9.51/7.02 ((~(v135(constB86) <=> (v138(constB86) | v142(constB86)))) | (~v135(constB86)) | (v138(constB86) | v142(constB86))),
% 9.51/7.02 inference(tautology,[status(thm)],[])).
% 9.51/7.02 tff(28558,plain,
% 9.51/7.02 (~v135(constB86)),
% 9.51/7.02 inference(unit_resolution,[status(thm)],[28557, 28556, 28408])).
% 9.51/7.02 tff(28559,plain,
% 9.51/7.02 ((~(v137(constB87) <=> v135(constB86))) | (~v137(constB87)) | v135(constB86)),
% 9.51/7.02 inference(tautology,[status(thm)],[])).
% 9.51/7.02 tff(28560,plain,
% 9.51/7.02 (~v137(constB87)),
% 9.51/7.02 inference(unit_resolution,[status(thm)],[28559, 28558, 28406])).
% 9.51/7.02 tff(28561,plain,
% 9.51/7.02 ((~(v132(constB87) <=> v137(constB87))) | (~v132(constB87)) | v137(constB87)),
% 9.51/7.02 inference(tautology,[status(thm)],[])).
% 9.51/7.02 tff(28562,plain,
% 9.51/7.02 (~v132(constB87)),
% 9.51/7.02 inference(unit_resolution,[status(thm)],[28561, 28560, 28402])).
% 9.51/7.02 tff(28563,plain,
% 9.51/7.02 (((~v132(constB87)) | (~v154(constB87))) | v132(constB87)),
% 9.51/7.02 inference(tautology,[status(thm)],[])).
% 9.51/7.02 tff(28564,plain,
% 9.51/7.02 ((~v132(constB87)) | (~v154(constB87))),
% 9.51/7.02 inference(unit_resolution,[status(thm)],[28563, 28562])).
% 9.51/7.02 tff(28565,plain,
% 9.51/7.02 ((~(v153(constB87) <=> (~((~v132(constB87)) | (~v154(constB87)))))) | (~v153(constB87)) | (~((~v132(constB87)) | (~v154(constB87))))),
% 9.51/7.02 inference(tautology,[status(thm)],[])).
% 9.51/7.02 tff(28566,plain,
% 9.51/7.02 (~v153(constB87)),
% 9.51/7.02 inference(unit_resolution,[status(thm)],[28565, 28564, 28400])).
% 9.51/7.02 tff(28567,plain,
% 9.51/7.02 ((~(v153(constB87) | v155(constB87))) | v153(constB87) | v155(constB87)),
% 9.51/7.02 inference(tautology,[status(thm)],[])).
% 9.51/7.02 tff(28568,plain,
% 9.51/7.02 (~(v153(constB87) | v155(constB87))),
% 9.51/7.02 inference(unit_resolution,[status(thm)],[28567, 28566, 28393])).
% 9.51/7.02 tff(28569,plain,
% 9.51/7.02 ((~(v150(constB87) <=> (v153(constB87) | v155(constB87)))) | (~v150(constB87)) | (v153(constB87) | v155(constB87))),
% 9.51/7.02 inference(tautology,[status(thm)],[])).
% 9.51/7.02 tff(28570,plain,
% 9.51/7.02 (~v150(constB87)),
% 9.51/7.02 inference(unit_resolution,[status(thm)],[28569, 28568, 28320])).
% 9.51/7.02 tff(28571,plain,
% 9.51/7.02 ((~(v152(constB88) <=> v150(constB87))) | (~v152(constB88)) | v150(constB87)),
% 9.51/7.02 inference(tautology,[status(thm)],[])).
% 9.51/7.02 tff(28572,plain,
% 9.51/7.02 (~v152(constB88)),
% 9.51/7.02 inference(unit_resolution,[status(thm)],[28571, 28570, 28318])).
% 9.51/7.02 tff(28573,plain,
% 9.51/7.02 ((~(v130(constB88) <=> v152(constB88))) | (~v130(constB88)) | v152(constB88)),
% 9.51/7.02 inference(tautology,[status(thm)],[])).
% 9.51/7.02 tff(28574,plain,
% 9.51/7.02 (~v130(constB88)),
% 9.51/7.02 inference(unit_resolution,[status(thm)],[28573, 28572, 28314])).
% 9.51/7.02 tff(28575,plain,
% 9.51/7.02 (((~v130(constB88)) | (~v139(constB88))) | v130(constB88)),
% 9.51/7.02 inference(tautology,[status(thm)],[])).
% 9.51/7.02 tff(28576,plain,
% 9.51/7.02 ((~v130(constB88)) | (~v139(constB88))),
% 9.51/7.02 inference(unit_resolution,[status(thm)],[28575, 28574])).
% 9.51/7.02 tff(28577,plain,
% 9.51/7.02 ((~(v155(constB88) <=> (~((~v130(constB88)) | (~v139(constB88)))))) | (~v155(constB88)) | (~((~v130(constB88)) | (~v139(constB88))))),
% 9.51/7.02 inference(tautology,[status(thm)],[])).
% 9.51/7.02 tff(28578,plain,
% 9.51/7.02 (~v155(constB88)),
% 9.51/7.02 inference(unit_resolution,[status(thm)],[28577, 28576, 28312])).
% 9.51/7.02 tff(28579,plain,
% 9.51/7.02 ((~(v153(constB88) | v155(constB88))) | v153(constB88) | v155(constB88)),
% 9.51/7.02 inference(tautology,[status(thm)],[])).
% 9.51/7.02 tff(28580,plain,
% 9.51/7.02 (~(v153(constB88) | v155(constB88))),
% 9.51/7.02 inference(unit_resolution,[status(thm)],[28579, 28578, 28305])).
% 9.51/7.02 tff(28581,plain,
% 9.51/7.02 ((~(v150(constB88) <=> (v153(constB88) | v155(constB88)))) | (~v150(constB88)) | (v153(constB88) | v155(constB88))),
% 9.51/7.02 inference(tautology,[status(thm)],[])).
% 9.51/7.02 tff(28582,plain,
% 9.51/7.02 (~v150(constB88)),
% 9.51/7.02 inference(unit_resolution,[status(thm)],[28581, 28580, 28270])).
% 9.51/7.02 tff(28583,plain,
% 9.51/7.02 ((~(v152(constB89) <=> v150(constB88))) | (~v152(constB89)) | v150(constB88)),
% 9.51/7.02 inference(tautology,[status(thm)],[])).
% 9.51/7.02 tff(28584,plain,
% 9.51/7.02 (~v152(constB89)),
% 9.51/7.02 inference(unit_resolution,[status(thm)],[28583, 28582, 28268])).
% 9.51/7.02 tff(28585,plain,
% 9.51/7.02 ((~(v130(constB89) <=> v152(constB89))) | (~v130(constB89)) | v152(constB89)),
% 9.51/7.02 inference(tautology,[status(thm)],[])).
% 9.51/7.02 tff(28586,plain,
% 9.51/7.02 (~v130(constB89)),
% 9.51/7.02 inference(unit_resolution,[status(thm)],[28585, 28584, 28264])).
% 9.51/7.02 tff(28587,plain,
% 9.51/7.02 (((~v130(constB89)) | (~v154(constB89))) | v130(constB89)),
% 9.51/7.02 inference(tautology,[status(thm)],[])).
% 9.51/7.02 tff(28588,plain,
% 9.51/7.02 ((~v130(constB89)) | (~v154(constB89))),
% 9.51/7.02 inference(unit_resolution,[status(thm)],[28587, 28586])).
% 9.51/7.02 tff(28589,plain,
% 9.51/7.02 ((~(v164(constB89) <=> (~((~v130(constB89)) | (~v154(constB89)))))) | (~v164(constB89)) | (~((~v130(constB89)) | (~v154(constB89))))),
% 9.51/7.02 inference(tautology,[status(thm)],[])).
% 9.51/7.02 tff(28590,plain,
% 9.51/7.02 (~v164(constB89)),
% 9.51/7.02 inference(unit_resolution,[status(thm)],[28589, 28588, 28262])).
% 9.51/7.02 tff(28591,plain,
% 9.51/7.02 ((~(v163(constB89) | v164(constB89))) | v163(constB89) | v164(constB89)),
% 9.51/7.02 inference(tautology,[status(thm)],[])).
% 9.51/7.02 tff(28592,plain,
% 9.51/7.02 (~(v163(constB89) | v164(constB89))),
% 9.51/7.02 inference(unit_resolution,[status(thm)],[28591, 28590, 28255])).
% 9.51/7.02 tff(28593,plain,
% 9.51/7.02 ((~(v160(constB89) <=> (v163(constB89) | v164(constB89)))) | (~v160(constB89)) | (v163(constB89) | v164(constB89))),
% 9.51/7.02 inference(tautology,[status(thm)],[])).
% 9.51/7.02 tff(28594,plain,
% 9.51/7.02 (~v160(constB89)),
% 9.51/7.02 inference(unit_resolution,[status(thm)],[28593, 28592, 28182])).
% 9.51/7.02 tff(28595,plain,
% 9.51/7.02 ((~(v162(constB90) <=> v160(constB89))) | (~v162(constB90)) | v160(constB89)),
% 9.51/7.02 inference(tautology,[status(thm)],[])).
% 9.51/7.02 tff(28596,plain,
% 9.51/7.02 (~v162(constB90)),
% 9.51/7.02 inference(unit_resolution,[status(thm)],[28595, 28594, 28180])).
% 9.51/7.02 tff(28597,plain,
% 9.51/7.02 ((~(v128(constB90) <=> v162(constB90))) | (~v128(constB90)) | v162(constB90)),
% 9.51/7.02 inference(tautology,[status(thm)],[])).
% 9.51/7.02 tff(28598,plain,
% 9.51/7.02 (~v128(constB90)),
% 9.51/7.02 inference(unit_resolution,[status(thm)],[28597, 28596, 28176])).
% 9.51/7.02 tff(28599,plain,
% 9.51/7.02 (((~v128(constB90)) | (~v139(constB90))) | v128(constB90)),
% 9.51/7.02 inference(tautology,[status(thm)],[])).
% 9.51/7.02 tff(28600,plain,
% 9.51/7.02 ((~v128(constB90)) | (~v139(constB90))),
% 9.51/7.02 inference(unit_resolution,[status(thm)],[28599, 28598])).
% 9.51/7.02 tff(28601,plain,
% 9.51/7.02 ((~(v163(constB90) <=> (~((~v128(constB90)) | (~v139(constB90)))))) | (~v163(constB90)) | (~((~v128(constB90)) | (~v139(constB90))))),
% 9.51/7.02 inference(tautology,[status(thm)],[])).
% 9.51/7.02 tff(28602,plain,
% 9.51/7.02 (~v163(constB90)),
% 9.51/7.02 inference(unit_resolution,[status(thm)],[28601, 28600, 28174])).
% 9.51/7.02 tff(28603,plain,
% 9.51/7.02 ((~(v163(constB90) | v164(constB90))) | v163(constB90) | v164(constB90)),
% 9.51/7.02 inference(tautology,[status(thm)],[])).
% 9.51/7.02 tff(28604,plain,
% 9.51/7.02 (~(v163(constB90) | v164(constB90))),
% 9.51/7.02 inference(unit_resolution,[status(thm)],[28603, 28602, 28167])).
% 9.51/7.02 tff(28605,plain,
% 9.51/7.02 ((~(v160(constB90) <=> (v163(constB90) | v164(constB90)))) | (~v160(constB90)) | (v163(constB90) | v164(constB90))),
% 9.51/7.02 inference(tautology,[status(thm)],[])).
% 9.51/7.02 tff(28606,plain,
% 9.51/7.02 (~v160(constB90)),
% 9.51/7.02 inference(unit_resolution,[status(thm)],[28605, 28604, 28132])).
% 9.51/7.02 tff(28607,plain,
% 9.51/7.02 ((~(v162(constB91) <=> v160(constB90))) | (~v162(constB91)) | v160(constB90)),
% 9.51/7.02 inference(tautology,[status(thm)],[])).
% 9.51/7.02 tff(28608,plain,
% 9.51/7.02 (~v162(constB91)),
% 9.51/7.02 inference(unit_resolution,[status(thm)],[28607, 28606, 28130])).
% 9.51/7.02 tff(28609,plain,
% 9.51/7.02 ($false),
% 9.51/7.02 inference(unit_resolution,[status(thm)],[28608, 28126])).
% 9.51/7.02 tff(28610,plain,(~(constB91 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.51/7.02 tff(28611,assumption,(constB11 = VarCurr!0), introduced(assumption)).
% 9.51/7.02 tff(28612,plain,
% 9.51/7.02 (v162(constB11) <=> v162(VarCurr!0)),
% 9.51/7.02 inference(monotonicity,[status(thm)],[28611])).
% 9.51/7.02 tff(28613,plain,
% 9.51/7.02 (v162(VarCurr!0) <=> v162(constB11)),
% 9.51/7.02 inference(symmetry,[status(thm)],[28612])).
% 9.51/7.02 tff(28614,plain,
% 9.51/7.02 (v162(constB11)),
% 9.51/7.02 inference(modus_ponens,[status(thm)],[59, 28613])).
% 9.51/7.02 tff(28615,plain,
% 9.51/7.02 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB10, constB11)) | (v162(constB11) <=> v160(constB10)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB10, constB11)) | (v162(constB11) <=> v160(constB10)))),
% 9.51/7.02 inference(rewrite,[status(thm)],[])).
% 9.51/7.02 tff(28616,plain,
% 9.51/7.02 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB10, constB11)) | (v162(constB11) <=> v160(constB10)))),
% 9.51/7.02 inference(quant_inst,[status(thm)],[])).
% 9.51/7.02 tff(28617,plain,
% 9.51/7.02 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB10, constB11)) | (v162(constB11) <=> v160(constB10))),
% 9.51/7.02 inference(modus_ponens,[status(thm)],[28616, 28615])).
% 9.51/7.02 tff(28618,plain,
% 9.51/7.02 (v162(constB11) <=> v160(constB10)),
% 9.51/7.02 inference(unit_resolution,[status(thm)],[28617, 9268, 70])).
% 9.51/7.02 tff(28619,plain,
% 9.51/7.02 ((~![VarCurr: $i] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB10) <=> (v163(constB10) | v164(constB10)))),
% 9.51/7.02 inference(quant_inst,[status(thm)],[])).
% 9.51/7.02 tff(28620,plain,
% 9.51/7.02 (v160(constB10) <=> (v163(constB10) | v164(constB10))),
% 9.51/7.02 inference(unit_resolution,[status(thm)],[28619, 84])).
% 9.51/7.02 tff(28621,plain,
% 9.51/7.02 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB10) <=> (~((~v130(constB10)) | (~v154(constB10)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB10) <=> (~((~v130(constB10)) | (~v154(constB10))))))),
% 9.51/7.02 inference(rewrite,[status(thm)],[])).
% 9.51/7.02 tff(28622,plain,
% 9.51/7.02 ((v164(constB10) <=> (~((~v154(constB10)) | (~v130(constB10))))) <=> (v164(constB10) <=> (~((~v130(constB10)) | (~v154(constB10)))))),
% 9.51/7.02 inference(rewrite,[status(thm)],[])).
% 9.51/7.02 tff(28623,plain,
% 9.51/7.02 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB10) <=> (~((~v154(constB10)) | (~v130(constB10)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB10) <=> (~((~v130(constB10)) | (~v154(constB10))))))),
% 9.51/7.02 inference(monotonicity,[status(thm)],[28622])).
% 9.51/7.02 tff(28624,plain,
% 9.51/7.02 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB10) <=> (~((~v154(constB10)) | (~v130(constB10)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB10) <=> (~((~v130(constB10)) | (~v154(constB10))))))),
% 9.51/7.02 inference(transitivity,[status(thm)],[28623, 28621])).
% 9.51/7.02 tff(28625,plain,
% 9.51/7.02 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB10) <=> (~((~v154(constB10)) | (~v130(constB10)))))),
% 9.51/7.02 inference(quant_inst,[status(thm)],[])).
% 9.51/7.02 tff(28626,plain,
% 9.51/7.02 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB10) <=> (~((~v130(constB10)) | (~v154(constB10)))))),
% 9.51/7.02 inference(modus_ponens,[status(thm)],[28625, 28624])).
% 9.51/7.02 tff(28627,plain,
% 9.51/7.02 (v164(constB10) <=> (~((~v130(constB10)) | (~v154(constB10))))),
% 9.51/7.02 inference(unit_resolution,[status(thm)],[28626, 96])).
% 9.51/7.02 tff(28628,plain,
% 9.51/7.02 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB10) <=> (~((~v141(constB10)) | (~v143(constB10)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB10) <=> (~((~v141(constB10)) | (~v143(constB10))))))),
% 9.51/7.02 inference(rewrite,[status(thm)],[])).
% 9.51/7.02 tff(28629,plain,
% 9.51/7.02 ((v154(constB10) <=> (~((~v143(constB10)) | (~v141(constB10))))) <=> (v154(constB10) <=> (~((~v141(constB10)) | (~v143(constB10)))))),
% 9.51/7.02 inference(rewrite,[status(thm)],[])).
% 9.51/7.02 tff(28630,plain,
% 9.51/7.02 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB10) <=> (~((~v143(constB10)) | (~v141(constB10)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB10) <=> (~((~v141(constB10)) | (~v143(constB10))))))),
% 9.51/7.02 inference(monotonicity,[status(thm)],[28629])).
% 9.51/7.02 tff(28631,plain,
% 9.51/7.02 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB10) <=> (~((~v143(constB10)) | (~v141(constB10)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB10) <=> (~((~v141(constB10)) | (~v143(constB10))))))),
% 9.51/7.03 inference(transitivity,[status(thm)],[28630, 28628])).
% 9.51/7.03 tff(28632,plain,
% 9.51/7.03 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB10) <=> (~((~v143(constB10)) | (~v141(constB10)))))),
% 9.51/7.03 inference(quant_inst,[status(thm)],[])).
% 9.51/7.03 tff(28633,plain,
% 9.51/7.03 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB10) <=> (~((~v141(constB10)) | (~v143(constB10)))))),
% 9.51/7.03 inference(modus_ponens,[status(thm)],[28632, 28631])).
% 9.51/7.03 tff(28634,plain,
% 9.51/7.03 (v154(constB10) <=> (~((~v141(constB10)) | (~v143(constB10))))),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28633, 113])).
% 9.51/7.03 tff(28635,plain,
% 9.51/7.03 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB10) <=> (~((~v39(constB10)) | (~v9(constB10)))))),
% 9.51/7.03 inference(quant_inst,[status(thm)],[])).
% 9.51/7.03 tff(28636,plain,
% 9.51/7.03 (v141(constB10) <=> (~((~v39(constB10)) | (~v9(constB10))))),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28635, 130])).
% 9.51/7.03 tff(28637,plain,
% 9.51/7.03 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB10)) <=> v1(constB10))),
% 9.51/7.03 inference(quant_inst,[status(thm)],[])).
% 9.51/7.03 tff(28638,plain,
% 9.51/7.03 ((~v39(constB10)) <=> v1(constB10)),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28637, 139])).
% 9.51/7.03 tff(28639,plain,
% 9.51/7.03 ((~((~v39(constB10)) <=> v1(constB10))) | (~v39(constB10)) | (~v1(constB10))),
% 9.51/7.03 inference(tautology,[status(thm)],[])).
% 9.51/7.03 tff(28640,plain,
% 9.51/7.03 ((~((~v39(constB10)) <=> v1(constB10))) | (~v39(constB10))),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28639, 9330])).
% 9.51/7.03 tff(28641,plain,
% 9.51/7.03 (~v39(constB10)),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28640, 28638])).
% 9.51/7.03 tff(28642,plain,
% 9.51/7.03 (((~v39(constB10)) | (~v9(constB10))) | v39(constB10)),
% 9.51/7.03 inference(tautology,[status(thm)],[])).
% 9.51/7.03 tff(28643,plain,
% 9.51/7.03 ((~v39(constB10)) | (~v9(constB10))),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28642, 28641])).
% 9.51/7.03 tff(28644,plain,
% 9.51/7.03 ((~(v141(constB10) <=> (~((~v39(constB10)) | (~v9(constB10)))))) | (~v141(constB10)) | (~((~v39(constB10)) | (~v9(constB10))))),
% 9.51/7.03 inference(tautology,[status(thm)],[])).
% 9.51/7.03 tff(28645,plain,
% 9.51/7.03 ((~(v141(constB10) <=> (~((~v39(constB10)) | (~v9(constB10)))))) | (~v141(constB10))),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28644, 28643])).
% 9.51/7.03 tff(28646,plain,
% 9.51/7.03 (~v141(constB10)),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28645, 28636])).
% 9.51/7.03 tff(28647,plain,
% 9.51/7.03 (((~v141(constB10)) | (~v143(constB10))) | v141(constB10)),
% 9.51/7.03 inference(tautology,[status(thm)],[])).
% 9.51/7.03 tff(28648,plain,
% 9.51/7.03 ((~v141(constB10)) | (~v143(constB10))),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28647, 28646])).
% 9.51/7.03 tff(28649,plain,
% 9.51/7.03 ((~(v154(constB10) <=> (~((~v141(constB10)) | (~v143(constB10)))))) | (~v154(constB10)) | (~((~v141(constB10)) | (~v143(constB10))))),
% 9.51/7.03 inference(tautology,[status(thm)],[])).
% 9.51/7.03 tff(28650,plain,
% 9.51/7.03 ((~(v154(constB10) <=> (~((~v141(constB10)) | (~v143(constB10)))))) | (~v154(constB10))),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28649, 28648])).
% 9.51/7.03 tff(28651,plain,
% 9.51/7.03 (~v154(constB10)),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28650, 28634])).
% 9.51/7.03 tff(28652,plain,
% 9.51/7.03 (((~v130(constB10)) | (~v154(constB10))) | v154(constB10)),
% 9.51/7.03 inference(tautology,[status(thm)],[])).
% 9.51/7.03 tff(28653,plain,
% 9.51/7.03 ((~v130(constB10)) | (~v154(constB10))),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28652, 28651])).
% 9.51/7.03 tff(28654,plain,
% 9.51/7.03 ((~(v164(constB10) <=> (~((~v130(constB10)) | (~v154(constB10)))))) | (~v164(constB10)) | (~((~v130(constB10)) | (~v154(constB10))))),
% 9.51/7.03 inference(tautology,[status(thm)],[])).
% 9.51/7.03 tff(28655,plain,
% 9.51/7.03 (~v164(constB10)),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28654, 28653, 28627])).
% 9.51/7.03 tff(28656,plain,
% 9.51/7.03 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB10) <=> (~((~v128(constB10)) | (~v139(constB10)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB10) <=> (~((~v128(constB10)) | (~v139(constB10))))))),
% 9.51/7.03 inference(rewrite,[status(thm)],[])).
% 9.51/7.03 tff(28657,plain,
% 9.51/7.03 ((v163(constB10) <=> (~((~v139(constB10)) | (~v128(constB10))))) <=> (v163(constB10) <=> (~((~v128(constB10)) | (~v139(constB10)))))),
% 9.51/7.03 inference(rewrite,[status(thm)],[])).
% 9.51/7.03 tff(28658,plain,
% 9.51/7.03 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB10) <=> (~((~v139(constB10)) | (~v128(constB10)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB10) <=> (~((~v128(constB10)) | (~v139(constB10))))))),
% 9.51/7.03 inference(monotonicity,[status(thm)],[28657])).
% 9.51/7.03 tff(28659,plain,
% 9.51/7.03 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB10) <=> (~((~v139(constB10)) | (~v128(constB10)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB10) <=> (~((~v128(constB10)) | (~v139(constB10))))))),
% 9.51/7.03 inference(transitivity,[status(thm)],[28658, 28656])).
% 9.51/7.03 tff(28660,plain,
% 9.51/7.03 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB10) <=> (~((~v139(constB10)) | (~v128(constB10)))))),
% 9.51/7.03 inference(quant_inst,[status(thm)],[])).
% 9.51/7.03 tff(28661,plain,
% 9.51/7.03 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB10) <=> (~((~v128(constB10)) | (~v139(constB10)))))),
% 9.51/7.03 inference(modus_ponens,[status(thm)],[28660, 28659])).
% 9.51/7.03 tff(28662,plain,
% 9.51/7.03 (v163(constB10) <=> (~((~v128(constB10)) | (~v139(constB10))))),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28661, 171])).
% 9.51/7.03 tff(28663,plain,
% 9.51/7.03 ((~![VarNext: $i] : (v128(VarNext) <=> v162(VarNext))) | (v128(constB10) <=> v162(constB10))),
% 9.51/7.03 inference(quant_inst,[status(thm)],[])).
% 9.51/7.03 tff(28664,plain,
% 9.51/7.03 (v128(constB10) <=> v162(constB10)),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28663, 13])).
% 9.51/7.03 tff(28665,plain,
% 9.51/7.03 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB9, constB10)) | (v162(constB10) <=> v160(constB9)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB9, constB10)) | (v162(constB10) <=> v160(constB9)))),
% 9.51/7.03 inference(rewrite,[status(thm)],[])).
% 9.51/7.03 tff(28666,plain,
% 9.51/7.03 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB9, constB10)) | (v162(constB10) <=> v160(constB9)))),
% 9.51/7.03 inference(quant_inst,[status(thm)],[])).
% 9.51/7.03 tff(28667,plain,
% 9.51/7.03 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB9, constB10)) | (v162(constB10) <=> v160(constB9))),
% 9.51/7.03 inference(modus_ponens,[status(thm)],[28666, 28665])).
% 9.51/7.03 tff(28668,plain,
% 9.51/7.03 (v162(constB10) <=> v160(constB9)),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28667, 9300, 70])).
% 9.51/7.03 tff(28669,plain,
% 9.51/7.03 ((~![VarCurr: $i] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB9) <=> (v163(constB9) | v164(constB9)))),
% 9.51/7.03 inference(quant_inst,[status(thm)],[])).
% 9.51/7.03 tff(28670,plain,
% 9.51/7.03 (v160(constB9) <=> (v163(constB9) | v164(constB9))),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28669, 84])).
% 9.51/7.03 tff(28671,plain,
% 9.51/7.03 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB9) <=> (~((~v128(constB9)) | (~v139(constB9)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB9) <=> (~((~v128(constB9)) | (~v139(constB9))))))),
% 9.51/7.03 inference(rewrite,[status(thm)],[])).
% 9.51/7.03 tff(28672,plain,
% 9.51/7.03 ((v163(constB9) <=> (~((~v139(constB9)) | (~v128(constB9))))) <=> (v163(constB9) <=> (~((~v128(constB9)) | (~v139(constB9)))))),
% 9.51/7.03 inference(rewrite,[status(thm)],[])).
% 9.51/7.03 tff(28673,plain,
% 9.51/7.03 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB9) <=> (~((~v139(constB9)) | (~v128(constB9)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB9) <=> (~((~v128(constB9)) | (~v139(constB9))))))),
% 9.51/7.03 inference(monotonicity,[status(thm)],[28672])).
% 9.51/7.03 tff(28674,plain,
% 9.51/7.03 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB9) <=> (~((~v139(constB9)) | (~v128(constB9)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB9) <=> (~((~v128(constB9)) | (~v139(constB9))))))),
% 9.51/7.03 inference(transitivity,[status(thm)],[28673, 28671])).
% 9.51/7.03 tff(28675,plain,
% 9.51/7.03 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB9) <=> (~((~v139(constB9)) | (~v128(constB9)))))),
% 9.51/7.03 inference(quant_inst,[status(thm)],[])).
% 9.51/7.03 tff(28676,plain,
% 9.51/7.03 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB9) <=> (~((~v128(constB9)) | (~v139(constB9)))))),
% 9.51/7.03 inference(modus_ponens,[status(thm)],[28675, 28674])).
% 9.51/7.03 tff(28677,plain,
% 9.51/7.03 (v163(constB9) <=> (~((~v128(constB9)) | (~v139(constB9))))),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28676, 171])).
% 9.51/7.03 tff(28678,plain,
% 9.51/7.03 ((~![VarCurr: $i] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB9)) <=> v140(constB9))),
% 9.51/7.03 inference(quant_inst,[status(thm)],[])).
% 9.51/7.03 tff(28679,plain,
% 9.51/7.03 ((~v139(constB9)) <=> v140(constB9)),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28678, 203])).
% 9.51/7.03 tff(28680,plain,
% 9.51/7.03 ((~![VarCurr: $i] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB9) <=> (v141(constB9) | v26(constB9)))),
% 9.51/7.03 inference(quant_inst,[status(thm)],[])).
% 9.51/7.03 tff(28681,plain,
% 9.51/7.03 (v140(constB9) <=> (v141(constB9) | v26(constB9))),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28680, 212])).
% 9.51/7.03 tff(28682,plain,
% 9.51/7.03 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB9) <=> (~((~v39(constB9)) | (~v9(constB9)))))),
% 9.51/7.03 inference(quant_inst,[status(thm)],[])).
% 9.51/7.03 tff(28683,plain,
% 9.51/7.03 (v141(constB9) <=> (~((~v39(constB9)) | (~v9(constB9))))),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28682, 130])).
% 9.51/7.03 tff(28684,plain,
% 9.51/7.03 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB9, constB10)) | (v13(constB10) <=> v9(constB9)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB9, constB10)) | (v13(constB10) <=> v9(constB9)))),
% 9.51/7.03 inference(rewrite,[status(thm)],[])).
% 9.51/7.03 tff(28685,plain,
% 9.51/7.03 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB9, constB10)) | (v13(constB10) <=> v9(constB9)))),
% 9.51/7.03 inference(quant_inst,[status(thm)],[])).
% 9.51/7.03 tff(28686,plain,
% 9.51/7.03 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB9, constB10)) | (v13(constB10) <=> v9(constB9))),
% 9.51/7.03 inference(modus_ponens,[status(thm)],[28685, 28684])).
% 9.51/7.03 tff(28687,plain,
% 9.51/7.03 (v13(constB10) <=> v9(constB9)),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28686, 9300, 226])).
% 9.51/7.03 tff(28688,plain,
% 9.51/7.03 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB10) <=> v13(constB10))),
% 9.51/7.03 inference(quant_inst,[status(thm)],[])).
% 9.51/7.03 tff(28689,plain,
% 9.51/7.03 (v6(constB10) <=> v13(constB10)),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28688, 240])).
% 9.51/7.03 tff(28690,plain,
% 9.51/7.03 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB10)) <=> v6(constB10))),
% 9.51/7.03 inference(quant_inst,[status(thm)],[])).
% 9.51/7.03 tff(28691,plain,
% 9.51/7.03 ((~v21(constB10)) <=> v6(constB10)),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28690, 249])).
% 9.51/7.03 tff(28692,plain,
% 9.51/7.03 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB10) <=> (v20(constB10) | v21(constB10)))),
% 9.51/7.03 inference(quant_inst,[status(thm)],[])).
% 9.51/7.03 tff(28693,plain,
% 9.51/7.03 (v19(constB10) <=> (v20(constB10) | v21(constB10))),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28692, 258])).
% 9.51/7.03 tff(28694,plain,
% 9.51/7.03 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB10) <=> (~((~v19(constB10)) | (~v22(constB10)))))),
% 9.51/7.03 inference(quant_inst,[status(thm)],[])).
% 9.51/7.03 tff(28695,plain,
% 9.51/7.03 (v18(constB10) <=> (~((~v19(constB10)) | (~v22(constB10))))),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28694, 270])).
% 9.51/7.03 tff(28696,plain,
% 9.51/7.03 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB10)) <=> v18(constB10))),
% 9.51/7.03 inference(quant_inst,[status(thm)],[])).
% 9.51/7.03 tff(28697,plain,
% 9.51/7.03 ((~v4(constB10)) <=> v18(constB10)),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28696, 279])).
% 9.51/7.03 tff(28698,plain,
% 9.51/7.03 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB10)),
% 9.51/7.03 inference(quant_inst,[status(thm)],[])).
% 9.51/7.03 tff(28699,plain,
% 9.51/7.03 (v4(constB10)),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28698, 288])).
% 9.51/7.03 tff(28700,plain,
% 9.51/7.03 ((~((~v4(constB10)) <=> v18(constB10))) | (~v4(constB10)) | (~v18(constB10))),
% 9.51/7.03 inference(tautology,[status(thm)],[])).
% 9.51/7.03 tff(28701,plain,
% 9.51/7.03 (~v18(constB10)),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28700, 28699, 28697])).
% 9.51/7.03 tff(28702,plain,
% 9.51/7.03 ((~(v18(constB10) <=> (~((~v19(constB10)) | (~v22(constB10)))))) | v18(constB10) | ((~v19(constB10)) | (~v22(constB10)))),
% 9.51/7.03 inference(tautology,[status(thm)],[])).
% 9.51/7.03 tff(28703,plain,
% 9.51/7.03 ((~v19(constB10)) | (~v22(constB10))),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28702, 28701, 28695])).
% 9.51/7.03 tff(28704,plain,
% 9.51/7.03 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB10) <=> (v1(constB10) | v6(constB10)))),
% 9.51/7.03 inference(quant_inst,[status(thm)],[])).
% 9.51/7.03 tff(28705,plain,
% 9.51/7.03 (v22(constB10) <=> (v1(constB10) | v6(constB10))),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28704, 301])).
% 9.51/7.03 tff(28706,plain,
% 9.51/7.03 ((v1(constB10) | v6(constB10)) | (~v1(constB10))),
% 9.51/7.03 inference(tautology,[status(thm)],[])).
% 9.51/7.03 tff(28707,plain,
% 9.51/7.03 (v1(constB10) | v6(constB10)),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28706, 9330])).
% 9.51/7.03 tff(28708,plain,
% 9.51/7.03 ((~(v22(constB10) <=> (v1(constB10) | v6(constB10)))) | v22(constB10) | (~(v1(constB10) | v6(constB10)))),
% 9.51/7.03 inference(tautology,[status(thm)],[])).
% 9.51/7.03 tff(28709,plain,
% 9.51/7.03 ((~(v22(constB10) <=> (v1(constB10) | v6(constB10)))) | v22(constB10)),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28708, 28707])).
% 9.51/7.03 tff(28710,plain,
% 9.51/7.03 (v22(constB10)),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28709, 28705])).
% 9.51/7.03 tff(28711,plain,
% 9.51/7.03 ((~((~v19(constB10)) | (~v22(constB10)))) | (~v19(constB10)) | (~v22(constB10))),
% 9.51/7.03 inference(tautology,[status(thm)],[])).
% 9.51/7.03 tff(28712,plain,
% 9.51/7.03 ((~((~v19(constB10)) | (~v22(constB10)))) | (~v19(constB10))),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28711, 28710])).
% 9.51/7.03 tff(28713,plain,
% 9.51/7.03 (~v19(constB10)),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28712, 28703])).
% 9.51/7.03 tff(28714,plain,
% 9.51/7.03 ((~(v19(constB10) <=> (v20(constB10) | v21(constB10)))) | v19(constB10) | (~(v20(constB10) | v21(constB10)))),
% 9.51/7.03 inference(tautology,[status(thm)],[])).
% 9.51/7.03 tff(28715,plain,
% 9.51/7.03 (~(v20(constB10) | v21(constB10))),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28714, 28713, 28693])).
% 9.51/7.03 tff(28716,plain,
% 9.51/7.03 ((v20(constB10) | v21(constB10)) | (~v21(constB10))),
% 9.51/7.03 inference(tautology,[status(thm)],[])).
% 9.51/7.03 tff(28717,plain,
% 9.51/7.03 (~v21(constB10)),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28716, 28715])).
% 9.51/7.03 tff(28718,plain,
% 9.51/7.03 ((~((~v21(constB10)) <=> v6(constB10))) | v21(constB10) | v6(constB10)),
% 9.51/7.03 inference(tautology,[status(thm)],[])).
% 9.51/7.03 tff(28719,plain,
% 9.51/7.03 (v6(constB10)),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28718, 28717, 28691])).
% 9.51/7.03 tff(28720,plain,
% 9.51/7.03 ((~(v6(constB10) <=> v13(constB10))) | (~v6(constB10)) | v13(constB10)),
% 9.51/7.03 inference(tautology,[status(thm)],[])).
% 9.51/7.03 tff(28721,plain,
% 9.51/7.03 (v13(constB10)),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28720, 28719, 28689])).
% 9.51/7.03 tff(28722,plain,
% 9.51/7.03 ((~(v13(constB10) <=> v9(constB9))) | (~v13(constB10)) | v9(constB9)),
% 9.51/7.03 inference(tautology,[status(thm)],[])).
% 9.51/7.03 tff(28723,plain,
% 9.51/7.03 (v9(constB9)),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28722, 28721, 28687])).
% 9.51/7.03 tff(28724,plain,
% 9.51/7.03 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB9)) <=> v1(constB9))),
% 9.51/7.03 inference(quant_inst,[status(thm)],[])).
% 9.51/7.03 tff(28725,plain,
% 9.51/7.03 ((~v39(constB9)) <=> v1(constB9)),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28724, 139])).
% 9.51/7.03 tff(28726,plain,
% 9.51/7.03 ((~((~v39(constB9)) <=> v1(constB9))) | v39(constB9) | v1(constB9)),
% 9.51/7.03 inference(tautology,[status(thm)],[])).
% 9.51/7.03 tff(28727,plain,
% 9.51/7.03 ((~((~v39(constB9)) <=> v1(constB9))) | v39(constB9)),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28726, 9322])).
% 9.51/7.03 tff(28728,plain,
% 9.51/7.03 (v39(constB9)),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28727, 28725])).
% 9.51/7.03 tff(28729,plain,
% 9.51/7.03 ((~((~v39(constB9)) | (~v9(constB9)))) | (~v39(constB9)) | (~v9(constB9))),
% 9.51/7.03 inference(tautology,[status(thm)],[])).
% 9.51/7.03 tff(28730,plain,
% 9.51/7.03 ((~((~v39(constB9)) | (~v9(constB9)))) | (~v9(constB9))),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28729, 28728])).
% 9.51/7.03 tff(28731,plain,
% 9.51/7.03 (~((~v39(constB9)) | (~v9(constB9)))),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28730, 28723])).
% 9.51/7.03 tff(28732,plain,
% 9.51/7.03 ((~(v141(constB9) <=> (~((~v39(constB9)) | (~v9(constB9)))))) | v141(constB9) | ((~v39(constB9)) | (~v9(constB9)))),
% 9.51/7.03 inference(tautology,[status(thm)],[])).
% 9.51/7.03 tff(28733,plain,
% 9.51/7.03 (v141(constB9)),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28732, 28731, 28683])).
% 9.51/7.03 tff(28734,plain,
% 9.51/7.03 ((v141(constB9) | v26(constB9)) | (~v141(constB9))),
% 9.51/7.03 inference(tautology,[status(thm)],[])).
% 9.51/7.03 tff(28735,plain,
% 9.51/7.03 (v141(constB9) | v26(constB9)),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28734, 28733])).
% 9.51/7.03 tff(28736,plain,
% 9.51/7.03 ((~(v140(constB9) <=> (v141(constB9) | v26(constB9)))) | v140(constB9) | (~(v141(constB9) | v26(constB9)))),
% 9.51/7.03 inference(tautology,[status(thm)],[])).
% 9.51/7.03 tff(28737,plain,
% 9.51/7.03 (v140(constB9)),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28736, 28735, 28681])).
% 9.51/7.03 tff(28738,plain,
% 9.51/7.03 ((~((~v139(constB9)) <=> v140(constB9))) | (~v139(constB9)) | (~v140(constB9))),
% 9.51/7.03 inference(tautology,[status(thm)],[])).
% 9.51/7.03 tff(28739,plain,
% 9.51/7.03 (~v139(constB9)),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28738, 28737, 28679])).
% 9.51/7.03 tff(28740,plain,
% 9.51/7.03 (((~v128(constB9)) | (~v139(constB9))) | v139(constB9)),
% 9.51/7.03 inference(tautology,[status(thm)],[])).
% 9.51/7.03 tff(28741,plain,
% 9.51/7.03 ((~v128(constB9)) | (~v139(constB9))),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28740, 28739])).
% 9.51/7.03 tff(28742,plain,
% 9.51/7.03 ((~(v163(constB9) <=> (~((~v128(constB9)) | (~v139(constB9)))))) | (~v163(constB9)) | (~((~v128(constB9)) | (~v139(constB9))))),
% 9.51/7.03 inference(tautology,[status(thm)],[])).
% 9.51/7.03 tff(28743,plain,
% 9.51/7.03 (~v163(constB9)),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28742, 28741, 28677])).
% 9.51/7.03 tff(28744,plain,
% 9.51/7.03 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB9) <=> (~((~v130(constB9)) | (~v154(constB9)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB9) <=> (~((~v130(constB9)) | (~v154(constB9))))))),
% 9.51/7.03 inference(rewrite,[status(thm)],[])).
% 9.51/7.03 tff(28745,plain,
% 9.51/7.03 ((v164(constB9) <=> (~((~v154(constB9)) | (~v130(constB9))))) <=> (v164(constB9) <=> (~((~v130(constB9)) | (~v154(constB9)))))),
% 9.51/7.03 inference(rewrite,[status(thm)],[])).
% 9.51/7.03 tff(28746,plain,
% 9.51/7.03 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB9) <=> (~((~v154(constB9)) | (~v130(constB9)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB9) <=> (~((~v130(constB9)) | (~v154(constB9))))))),
% 9.51/7.03 inference(monotonicity,[status(thm)],[28745])).
% 9.51/7.03 tff(28747,plain,
% 9.51/7.03 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB9) <=> (~((~v154(constB9)) | (~v130(constB9)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB9) <=> (~((~v130(constB9)) | (~v154(constB9))))))),
% 9.51/7.03 inference(transitivity,[status(thm)],[28746, 28744])).
% 9.51/7.03 tff(28748,plain,
% 9.51/7.03 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB9) <=> (~((~v154(constB9)) | (~v130(constB9)))))),
% 9.51/7.03 inference(quant_inst,[status(thm)],[])).
% 9.51/7.03 tff(28749,plain,
% 9.51/7.03 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB9) <=> (~((~v130(constB9)) | (~v154(constB9)))))),
% 9.51/7.03 inference(modus_ponens,[status(thm)],[28748, 28747])).
% 9.51/7.03 tff(28750,plain,
% 9.51/7.03 (v164(constB9) <=> (~((~v130(constB9)) | (~v154(constB9))))),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28749, 96])).
% 9.51/7.03 tff(28751,plain,
% 9.51/7.03 ((~![VarNext: $i] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB9) <=> v152(constB9))),
% 9.51/7.03 inference(quant_inst,[status(thm)],[])).
% 9.51/7.03 tff(28752,plain,
% 9.51/7.03 (v130(constB9) <=> v152(constB9)),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28751, 361])).
% 9.51/7.03 tff(28753,plain,
% 9.51/7.03 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB8, constB9)) | (v152(constB9) <=> v150(constB8)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB8, constB9)) | (v152(constB9) <=> v150(constB8)))),
% 9.51/7.03 inference(rewrite,[status(thm)],[])).
% 9.51/7.03 tff(28754,plain,
% 9.51/7.03 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB8, constB9)) | (v152(constB9) <=> v150(constB8)))),
% 9.51/7.03 inference(quant_inst,[status(thm)],[])).
% 9.51/7.03 tff(28755,plain,
% 9.51/7.03 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB8, constB9)) | (v152(constB9) <=> v150(constB8))),
% 9.51/7.03 inference(modus_ponens,[status(thm)],[28754, 28753])).
% 9.51/7.03 tff(28756,plain,
% 9.51/7.03 (v152(constB9) <=> v150(constB8)),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28755, 9359, 373])).
% 9.51/7.03 tff(28757,plain,
% 9.51/7.03 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v153(VarCurr) | v155(VarCurr)))) | (v150(constB8) <=> (v153(constB8) | v155(constB8)))),
% 9.51/7.03 inference(quant_inst,[status(thm)],[])).
% 9.51/7.03 tff(28758,plain,
% 9.51/7.03 (v150(constB8) <=> (v153(constB8) | v155(constB8))),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28757, 387])).
% 9.51/7.03 tff(28759,plain,
% 9.51/7.03 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB8) <=> (~((~v132(constB8)) | (~v154(constB8)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB8) <=> (~((~v132(constB8)) | (~v154(constB8))))))),
% 9.51/7.03 inference(rewrite,[status(thm)],[])).
% 9.51/7.03 tff(28760,plain,
% 9.51/7.03 ((v153(constB8) <=> (~((~v154(constB8)) | (~v132(constB8))))) <=> (v153(constB8) <=> (~((~v132(constB8)) | (~v154(constB8)))))),
% 9.51/7.03 inference(rewrite,[status(thm)],[])).
% 9.51/7.03 tff(28761,plain,
% 9.51/7.03 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB8) <=> (~((~v154(constB8)) | (~v132(constB8)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB8) <=> (~((~v132(constB8)) | (~v154(constB8))))))),
% 9.51/7.03 inference(monotonicity,[status(thm)],[28760])).
% 9.51/7.03 tff(28762,plain,
% 9.51/7.03 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB8) <=> (~((~v154(constB8)) | (~v132(constB8)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB8) <=> (~((~v132(constB8)) | (~v154(constB8))))))),
% 9.51/7.03 inference(transitivity,[status(thm)],[28761, 28759])).
% 9.51/7.03 tff(28763,plain,
% 9.51/7.03 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB8) <=> (~((~v154(constB8)) | (~v132(constB8)))))),
% 9.51/7.03 inference(quant_inst,[status(thm)],[])).
% 9.51/7.03 tff(28764,plain,
% 9.51/7.03 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB8) <=> (~((~v132(constB8)) | (~v154(constB8)))))),
% 9.51/7.03 inference(modus_ponens,[status(thm)],[28763, 28762])).
% 9.51/7.03 tff(28765,plain,
% 9.51/7.03 (v153(constB8) <=> (~((~v132(constB8)) | (~v154(constB8))))),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28764, 399])).
% 9.51/7.03 tff(28766,plain,
% 9.51/7.03 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB8) <=> (~((~v141(constB8)) | (~v143(constB8)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB8) <=> (~((~v141(constB8)) | (~v143(constB8))))))),
% 9.51/7.03 inference(rewrite,[status(thm)],[])).
% 9.51/7.03 tff(28767,plain,
% 9.51/7.03 ((v154(constB8) <=> (~((~v143(constB8)) | (~v141(constB8))))) <=> (v154(constB8) <=> (~((~v141(constB8)) | (~v143(constB8)))))),
% 9.51/7.03 inference(rewrite,[status(thm)],[])).
% 9.51/7.03 tff(28768,plain,
% 9.51/7.03 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB8) <=> (~((~v143(constB8)) | (~v141(constB8)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB8) <=> (~((~v141(constB8)) | (~v143(constB8))))))),
% 9.51/7.03 inference(monotonicity,[status(thm)],[28767])).
% 9.51/7.03 tff(28769,plain,
% 9.51/7.03 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB8) <=> (~((~v143(constB8)) | (~v141(constB8)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB8) <=> (~((~v141(constB8)) | (~v143(constB8))))))),
% 9.51/7.03 inference(transitivity,[status(thm)],[28768, 28766])).
% 9.51/7.03 tff(28770,plain,
% 9.51/7.03 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB8) <=> (~((~v143(constB8)) | (~v141(constB8)))))),
% 9.51/7.03 inference(quant_inst,[status(thm)],[])).
% 9.51/7.03 tff(28771,plain,
% 9.51/7.03 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB8) <=> (~((~v141(constB8)) | (~v143(constB8)))))),
% 9.51/7.03 inference(modus_ponens,[status(thm)],[28770, 28769])).
% 9.51/7.03 tff(28772,plain,
% 9.51/7.03 (v154(constB8) <=> (~((~v141(constB8)) | (~v143(constB8))))),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28771, 113])).
% 9.51/7.03 tff(28773,plain,
% 9.51/7.03 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB8) <=> (~((~v39(constB8)) | (~v9(constB8)))))),
% 9.51/7.03 inference(quant_inst,[status(thm)],[])).
% 9.51/7.03 tff(28774,plain,
% 9.51/7.03 (v141(constB8) <=> (~((~v39(constB8)) | (~v9(constB8))))),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28773, 130])).
% 9.51/7.03 tff(28775,plain,
% 9.51/7.03 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB8)) <=> v1(constB8))),
% 9.51/7.03 inference(quant_inst,[status(thm)],[])).
% 9.51/7.03 tff(28776,plain,
% 9.51/7.03 ((~v39(constB8)) <=> v1(constB8)),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28775, 139])).
% 9.51/7.03 tff(28777,plain,
% 9.51/7.03 ((~((~v39(constB8)) <=> v1(constB8))) | (~v39(constB8)) | (~v1(constB8))),
% 9.51/7.03 inference(tautology,[status(thm)],[])).
% 9.51/7.03 tff(28778,plain,
% 9.51/7.03 ((~((~v39(constB8)) <=> v1(constB8))) | (~v39(constB8))),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28777, 9421])).
% 9.51/7.03 tff(28779,plain,
% 9.51/7.03 (~v39(constB8)),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28778, 28776])).
% 9.51/7.03 tff(28780,plain,
% 9.51/7.03 (((~v39(constB8)) | (~v9(constB8))) | v39(constB8)),
% 9.51/7.03 inference(tautology,[status(thm)],[])).
% 9.51/7.03 tff(28781,plain,
% 9.51/7.03 ((~v39(constB8)) | (~v9(constB8))),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28780, 28779])).
% 9.51/7.03 tff(28782,plain,
% 9.51/7.03 ((~(v141(constB8) <=> (~((~v39(constB8)) | (~v9(constB8)))))) | (~v141(constB8)) | (~((~v39(constB8)) | (~v9(constB8))))),
% 9.51/7.03 inference(tautology,[status(thm)],[])).
% 9.51/7.03 tff(28783,plain,
% 9.51/7.03 ((~(v141(constB8) <=> (~((~v39(constB8)) | (~v9(constB8)))))) | (~v141(constB8))),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28782, 28781])).
% 9.51/7.03 tff(28784,plain,
% 9.51/7.03 (~v141(constB8)),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28783, 28774])).
% 9.51/7.03 tff(28785,plain,
% 9.51/7.03 (((~v141(constB8)) | (~v143(constB8))) | v141(constB8)),
% 9.51/7.03 inference(tautology,[status(thm)],[])).
% 9.51/7.03 tff(28786,plain,
% 9.51/7.03 ((~v141(constB8)) | (~v143(constB8))),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28785, 28784])).
% 9.51/7.03 tff(28787,plain,
% 9.51/7.03 ((~(v154(constB8) <=> (~((~v141(constB8)) | (~v143(constB8)))))) | (~v154(constB8)) | (~((~v141(constB8)) | (~v143(constB8))))),
% 9.51/7.03 inference(tautology,[status(thm)],[])).
% 9.51/7.03 tff(28788,plain,
% 9.51/7.03 ((~(v154(constB8) <=> (~((~v141(constB8)) | (~v143(constB8)))))) | (~v154(constB8))),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28787, 28786])).
% 9.51/7.03 tff(28789,plain,
% 9.51/7.03 (~v154(constB8)),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28788, 28772])).
% 9.51/7.03 tff(28790,plain,
% 9.51/7.03 (((~v132(constB8)) | (~v154(constB8))) | v154(constB8)),
% 9.51/7.03 inference(tautology,[status(thm)],[])).
% 9.51/7.03 tff(28791,plain,
% 9.51/7.03 ((~v132(constB8)) | (~v154(constB8))),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28790, 28789])).
% 9.51/7.03 tff(28792,plain,
% 9.51/7.03 ((~(v153(constB8) <=> (~((~v132(constB8)) | (~v154(constB8)))))) | (~v153(constB8)) | (~((~v132(constB8)) | (~v154(constB8))))),
% 9.51/7.03 inference(tautology,[status(thm)],[])).
% 9.51/7.03 tff(28793,plain,
% 9.51/7.03 (~v153(constB8)),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28792, 28791, 28765])).
% 9.51/7.03 tff(28794,plain,
% 9.51/7.03 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB8) <=> (~((~v130(constB8)) | (~v139(constB8)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB8) <=> (~((~v130(constB8)) | (~v139(constB8))))))),
% 9.51/7.03 inference(rewrite,[status(thm)],[])).
% 9.51/7.03 tff(28795,plain,
% 9.51/7.03 ((v155(constB8) <=> (~((~v139(constB8)) | (~v130(constB8))))) <=> (v155(constB8) <=> (~((~v130(constB8)) | (~v139(constB8)))))),
% 9.51/7.03 inference(rewrite,[status(thm)],[])).
% 9.51/7.03 tff(28796,plain,
% 9.51/7.03 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB8) <=> (~((~v139(constB8)) | (~v130(constB8)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB8) <=> (~((~v130(constB8)) | (~v139(constB8))))))),
% 9.51/7.03 inference(monotonicity,[status(thm)],[28795])).
% 9.51/7.03 tff(28797,plain,
% 9.51/7.03 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB8) <=> (~((~v139(constB8)) | (~v130(constB8)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB8) <=> (~((~v130(constB8)) | (~v139(constB8))))))),
% 9.51/7.03 inference(transitivity,[status(thm)],[28796, 28794])).
% 9.51/7.03 tff(28798,plain,
% 9.51/7.03 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB8) <=> (~((~v139(constB8)) | (~v130(constB8)))))),
% 9.51/7.03 inference(quant_inst,[status(thm)],[])).
% 9.51/7.03 tff(28799,plain,
% 9.51/7.03 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB8) <=> (~((~v130(constB8)) | (~v139(constB8)))))),
% 9.51/7.03 inference(modus_ponens,[status(thm)],[28798, 28797])).
% 9.51/7.03 tff(28800,plain,
% 9.51/7.03 (v155(constB8) <=> (~((~v130(constB8)) | (~v139(constB8))))),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28799, 447])).
% 9.51/7.03 tff(28801,plain,
% 9.51/7.03 ((~![VarNext: $i] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB8) <=> v152(constB8))),
% 9.51/7.03 inference(quant_inst,[status(thm)],[])).
% 9.51/7.03 tff(28802,plain,
% 9.51/7.03 (v130(constB8) <=> v152(constB8)),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28801, 361])).
% 9.51/7.03 tff(28803,plain,
% 9.51/7.03 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB7, constB8)) | (v152(constB8) <=> v150(constB7)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB7, constB8)) | (v152(constB8) <=> v150(constB7)))),
% 9.51/7.03 inference(rewrite,[status(thm)],[])).
% 9.51/7.03 tff(28804,plain,
% 9.51/7.03 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB7, constB8)) | (v152(constB8) <=> v150(constB7)))),
% 9.51/7.03 inference(quant_inst,[status(thm)],[])).
% 9.51/7.03 tff(28805,plain,
% 9.51/7.03 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB7, constB8)) | (v152(constB8) <=> v150(constB7))),
% 9.51/7.03 inference(modus_ponens,[status(thm)],[28804, 28803])).
% 9.51/7.03 tff(28806,plain,
% 9.51/7.03 (v152(constB8) <=> v150(constB7)),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28805, 9391, 373])).
% 9.51/7.03 tff(28807,plain,
% 9.51/7.03 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v153(VarCurr) | v155(VarCurr)))) | (v150(constB7) <=> (v153(constB7) | v155(constB7)))),
% 9.51/7.03 inference(quant_inst,[status(thm)],[])).
% 9.51/7.03 tff(28808,plain,
% 9.51/7.03 (v150(constB7) <=> (v153(constB7) | v155(constB7))),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28807, 387])).
% 9.51/7.03 tff(28809,plain,
% 9.51/7.03 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB7) <=> (~((~v130(constB7)) | (~v139(constB7)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB7) <=> (~((~v130(constB7)) | (~v139(constB7))))))),
% 9.51/7.03 inference(rewrite,[status(thm)],[])).
% 9.51/7.03 tff(28810,plain,
% 9.51/7.03 ((v155(constB7) <=> (~((~v139(constB7)) | (~v130(constB7))))) <=> (v155(constB7) <=> (~((~v130(constB7)) | (~v139(constB7)))))),
% 9.51/7.03 inference(rewrite,[status(thm)],[])).
% 9.51/7.03 tff(28811,plain,
% 9.51/7.03 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB7) <=> (~((~v139(constB7)) | (~v130(constB7)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB7) <=> (~((~v130(constB7)) | (~v139(constB7))))))),
% 9.51/7.03 inference(monotonicity,[status(thm)],[28810])).
% 9.51/7.03 tff(28812,plain,
% 9.51/7.03 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB7) <=> (~((~v139(constB7)) | (~v130(constB7)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB7) <=> (~((~v130(constB7)) | (~v139(constB7))))))),
% 9.51/7.03 inference(transitivity,[status(thm)],[28811, 28809])).
% 9.51/7.03 tff(28813,plain,
% 9.51/7.03 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB7) <=> (~((~v139(constB7)) | (~v130(constB7)))))),
% 9.51/7.03 inference(quant_inst,[status(thm)],[])).
% 9.51/7.03 tff(28814,plain,
% 9.51/7.03 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB7) <=> (~((~v130(constB7)) | (~v139(constB7)))))),
% 9.51/7.03 inference(modus_ponens,[status(thm)],[28813, 28812])).
% 9.51/7.03 tff(28815,plain,
% 9.51/7.03 (v155(constB7) <=> (~((~v130(constB7)) | (~v139(constB7))))),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28814, 447])).
% 9.51/7.03 tff(28816,plain,
% 9.51/7.03 ((~![VarCurr: $i] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB7)) <=> v140(constB7))),
% 9.51/7.03 inference(quant_inst,[status(thm)],[])).
% 9.51/7.03 tff(28817,plain,
% 9.51/7.03 ((~v139(constB7)) <=> v140(constB7)),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28816, 203])).
% 9.51/7.03 tff(28818,plain,
% 9.51/7.03 ((~![VarCurr: $i] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB7) <=> (v141(constB7) | v26(constB7)))),
% 9.51/7.03 inference(quant_inst,[status(thm)],[])).
% 9.51/7.03 tff(28819,plain,
% 9.51/7.03 (v140(constB7) <=> (v141(constB7) | v26(constB7))),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28818, 212])).
% 9.51/7.03 tff(28820,plain,
% 9.51/7.03 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB7) <=> (~((~v39(constB7)) | (~v9(constB7)))))),
% 9.51/7.03 inference(quant_inst,[status(thm)],[])).
% 9.51/7.03 tff(28821,plain,
% 9.51/7.03 (v141(constB7) <=> (~((~v39(constB7)) | (~v9(constB7))))),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28820, 130])).
% 9.51/7.03 tff(28822,plain,
% 9.51/7.03 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB7, constB8)) | (v13(constB8) <=> v9(constB7)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB7, constB8)) | (v13(constB8) <=> v9(constB7)))),
% 9.51/7.03 inference(rewrite,[status(thm)],[])).
% 9.51/7.03 tff(28823,plain,
% 9.51/7.03 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB7, constB8)) | (v13(constB8) <=> v9(constB7)))),
% 9.51/7.03 inference(quant_inst,[status(thm)],[])).
% 9.51/7.03 tff(28824,plain,
% 9.51/7.03 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB7, constB8)) | (v13(constB8) <=> v9(constB7))),
% 9.51/7.03 inference(modus_ponens,[status(thm)],[28823, 28822])).
% 9.51/7.03 tff(28825,plain,
% 9.51/7.03 (v13(constB8) <=> v9(constB7)),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28824, 9391, 226])).
% 9.51/7.03 tff(28826,plain,
% 9.51/7.03 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB8) <=> v13(constB8))),
% 9.51/7.03 inference(quant_inst,[status(thm)],[])).
% 9.51/7.03 tff(28827,plain,
% 9.51/7.03 (v6(constB8) <=> v13(constB8)),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28826, 240])).
% 9.51/7.03 tff(28828,plain,
% 9.51/7.03 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB8)) <=> v6(constB8))),
% 9.51/7.03 inference(quant_inst,[status(thm)],[])).
% 9.51/7.03 tff(28829,plain,
% 9.51/7.03 ((~v21(constB8)) <=> v6(constB8)),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28828, 249])).
% 9.51/7.03 tff(28830,plain,
% 9.51/7.03 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB8) <=> (v20(constB8) | v21(constB8)))),
% 9.51/7.03 inference(quant_inst,[status(thm)],[])).
% 9.51/7.03 tff(28831,plain,
% 9.51/7.03 (v19(constB8) <=> (v20(constB8) | v21(constB8))),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28830, 258])).
% 9.51/7.03 tff(28832,plain,
% 9.51/7.03 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB8) <=> (~((~v19(constB8)) | (~v22(constB8)))))),
% 9.51/7.03 inference(quant_inst,[status(thm)],[])).
% 9.51/7.03 tff(28833,plain,
% 9.51/7.03 (v18(constB8) <=> (~((~v19(constB8)) | (~v22(constB8))))),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28832, 270])).
% 9.51/7.03 tff(28834,plain,
% 9.51/7.03 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB8)) <=> v18(constB8))),
% 9.51/7.03 inference(quant_inst,[status(thm)],[])).
% 9.51/7.03 tff(28835,plain,
% 9.51/7.03 ((~v4(constB8)) <=> v18(constB8)),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28834, 279])).
% 9.51/7.03 tff(28836,plain,
% 9.51/7.03 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB8)),
% 9.51/7.03 inference(quant_inst,[status(thm)],[])).
% 9.51/7.03 tff(28837,plain,
% 9.51/7.03 (v4(constB8)),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28836, 288])).
% 9.51/7.03 tff(28838,plain,
% 9.51/7.03 ((~((~v4(constB8)) <=> v18(constB8))) | (~v4(constB8)) | (~v18(constB8))),
% 9.51/7.03 inference(tautology,[status(thm)],[])).
% 9.51/7.03 tff(28839,plain,
% 9.51/7.03 (~v18(constB8)),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28838, 28837, 28835])).
% 9.51/7.03 tff(28840,plain,
% 9.51/7.03 ((~(v18(constB8) <=> (~((~v19(constB8)) | (~v22(constB8)))))) | v18(constB8) | ((~v19(constB8)) | (~v22(constB8)))),
% 9.51/7.03 inference(tautology,[status(thm)],[])).
% 9.51/7.03 tff(28841,plain,
% 9.51/7.03 ((~v19(constB8)) | (~v22(constB8))),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28840, 28839, 28833])).
% 9.51/7.03 tff(28842,plain,
% 9.51/7.03 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB8) <=> (v1(constB8) | v6(constB8)))),
% 9.51/7.03 inference(quant_inst,[status(thm)],[])).
% 9.51/7.03 tff(28843,plain,
% 9.51/7.03 (v22(constB8) <=> (v1(constB8) | v6(constB8))),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28842, 301])).
% 9.51/7.03 tff(28844,plain,
% 9.51/7.03 ((v1(constB8) | v6(constB8)) | (~v1(constB8))),
% 9.51/7.03 inference(tautology,[status(thm)],[])).
% 9.51/7.03 tff(28845,plain,
% 9.51/7.03 (v1(constB8) | v6(constB8)),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28844, 9421])).
% 9.51/7.03 tff(28846,plain,
% 9.51/7.03 ((~(v22(constB8) <=> (v1(constB8) | v6(constB8)))) | v22(constB8) | (~(v1(constB8) | v6(constB8)))),
% 9.51/7.03 inference(tautology,[status(thm)],[])).
% 9.51/7.03 tff(28847,plain,
% 9.51/7.03 ((~(v22(constB8) <=> (v1(constB8) | v6(constB8)))) | v22(constB8)),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28846, 28845])).
% 9.51/7.03 tff(28848,plain,
% 9.51/7.03 (v22(constB8)),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28847, 28843])).
% 9.51/7.03 tff(28849,plain,
% 9.51/7.03 ((~((~v19(constB8)) | (~v22(constB8)))) | (~v19(constB8)) | (~v22(constB8))),
% 9.51/7.03 inference(tautology,[status(thm)],[])).
% 9.51/7.03 tff(28850,plain,
% 9.51/7.03 ((~((~v19(constB8)) | (~v22(constB8)))) | (~v19(constB8))),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28849, 28848])).
% 9.51/7.03 tff(28851,plain,
% 9.51/7.03 (~v19(constB8)),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28850, 28841])).
% 9.51/7.03 tff(28852,plain,
% 9.51/7.03 ((~(v19(constB8) <=> (v20(constB8) | v21(constB8)))) | v19(constB8) | (~(v20(constB8) | v21(constB8)))),
% 9.51/7.03 inference(tautology,[status(thm)],[])).
% 9.51/7.03 tff(28853,plain,
% 9.51/7.03 (~(v20(constB8) | v21(constB8))),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28852, 28851, 28831])).
% 9.51/7.03 tff(28854,plain,
% 9.51/7.03 ((v20(constB8) | v21(constB8)) | (~v21(constB8))),
% 9.51/7.03 inference(tautology,[status(thm)],[])).
% 9.51/7.03 tff(28855,plain,
% 9.51/7.03 (~v21(constB8)),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28854, 28853])).
% 9.51/7.03 tff(28856,plain,
% 9.51/7.03 ((~((~v21(constB8)) <=> v6(constB8))) | v21(constB8) | v6(constB8)),
% 9.51/7.03 inference(tautology,[status(thm)],[])).
% 9.51/7.03 tff(28857,plain,
% 9.51/7.03 (v6(constB8)),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28856, 28855, 28829])).
% 9.51/7.03 tff(28858,plain,
% 9.51/7.03 ((~(v6(constB8) <=> v13(constB8))) | (~v6(constB8)) | v13(constB8)),
% 9.51/7.03 inference(tautology,[status(thm)],[])).
% 9.51/7.03 tff(28859,plain,
% 9.51/7.03 (v13(constB8)),
% 9.51/7.03 inference(unit_resolution,[status(thm)],[28858, 28857, 28827])).
% 9.51/7.04 tff(28860,plain,
% 9.51/7.04 ((~(v13(constB8) <=> v9(constB7))) | (~v13(constB8)) | v9(constB7)),
% 9.51/7.04 inference(tautology,[status(thm)],[])).
% 9.51/7.04 tff(28861,plain,
% 9.51/7.04 (v9(constB7)),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[28860, 28859, 28825])).
% 9.51/7.04 tff(28862,plain,
% 9.51/7.04 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB7)) <=> v1(constB7))),
% 9.51/7.04 inference(quant_inst,[status(thm)],[])).
% 9.51/7.04 tff(28863,plain,
% 9.51/7.04 ((~v39(constB7)) <=> v1(constB7)),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[28862, 139])).
% 9.51/7.04 tff(28864,plain,
% 9.51/7.04 ((~((~v39(constB7)) <=> v1(constB7))) | v39(constB7) | v1(constB7)),
% 9.51/7.04 inference(tautology,[status(thm)],[])).
% 9.51/7.04 tff(28865,plain,
% 9.51/7.04 ((~((~v39(constB7)) <=> v1(constB7))) | v39(constB7)),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[28864, 9413])).
% 9.51/7.04 tff(28866,plain,
% 9.51/7.04 (v39(constB7)),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[28865, 28863])).
% 9.51/7.04 tff(28867,plain,
% 9.51/7.04 ((~((~v39(constB7)) | (~v9(constB7)))) | (~v39(constB7)) | (~v9(constB7))),
% 9.51/7.04 inference(tautology,[status(thm)],[])).
% 9.51/7.04 tff(28868,plain,
% 9.51/7.04 ((~((~v39(constB7)) | (~v9(constB7)))) | (~v9(constB7))),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[28867, 28866])).
% 9.51/7.04 tff(28869,plain,
% 9.51/7.04 (~((~v39(constB7)) | (~v9(constB7)))),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[28868, 28861])).
% 9.51/7.04 tff(28870,plain,
% 9.51/7.04 ((~(v141(constB7) <=> (~((~v39(constB7)) | (~v9(constB7)))))) | v141(constB7) | ((~v39(constB7)) | (~v9(constB7)))),
% 9.51/7.04 inference(tautology,[status(thm)],[])).
% 9.51/7.04 tff(28871,plain,
% 9.51/7.04 (v141(constB7)),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[28870, 28869, 28821])).
% 9.51/7.04 tff(28872,plain,
% 9.51/7.04 ((v141(constB7) | v26(constB7)) | (~v141(constB7))),
% 9.51/7.04 inference(tautology,[status(thm)],[])).
% 9.51/7.04 tff(28873,plain,
% 9.51/7.04 (v141(constB7) | v26(constB7)),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[28872, 28871])).
% 9.51/7.04 tff(28874,plain,
% 9.51/7.04 ((~(v140(constB7) <=> (v141(constB7) | v26(constB7)))) | v140(constB7) | (~(v141(constB7) | v26(constB7)))),
% 9.51/7.04 inference(tautology,[status(thm)],[])).
% 9.51/7.04 tff(28875,plain,
% 9.51/7.04 (v140(constB7)),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[28874, 28873, 28819])).
% 9.51/7.04 tff(28876,plain,
% 9.51/7.04 ((~((~v139(constB7)) <=> v140(constB7))) | (~v139(constB7)) | (~v140(constB7))),
% 9.51/7.04 inference(tautology,[status(thm)],[])).
% 9.51/7.04 tff(28877,plain,
% 9.51/7.04 (~v139(constB7)),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[28876, 28875, 28817])).
% 9.51/7.04 tff(28878,plain,
% 9.51/7.04 (((~v130(constB7)) | (~v139(constB7))) | v139(constB7)),
% 9.51/7.04 inference(tautology,[status(thm)],[])).
% 9.51/7.04 tff(28879,plain,
% 9.51/7.04 ((~v130(constB7)) | (~v139(constB7))),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[28878, 28877])).
% 9.51/7.04 tff(28880,plain,
% 9.51/7.04 ((~(v155(constB7) <=> (~((~v130(constB7)) | (~v139(constB7)))))) | (~v155(constB7)) | (~((~v130(constB7)) | (~v139(constB7))))),
% 9.51/7.04 inference(tautology,[status(thm)],[])).
% 9.51/7.04 tff(28881,plain,
% 9.51/7.04 (~v155(constB7)),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[28880, 28879, 28815])).
% 9.51/7.04 tff(28882,plain,
% 9.51/7.04 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB7) <=> (~((~v132(constB7)) | (~v154(constB7)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB7) <=> (~((~v132(constB7)) | (~v154(constB7))))))),
% 9.51/7.04 inference(rewrite,[status(thm)],[])).
% 9.51/7.04 tff(28883,plain,
% 9.51/7.04 ((v153(constB7) <=> (~((~v154(constB7)) | (~v132(constB7))))) <=> (v153(constB7) <=> (~((~v132(constB7)) | (~v154(constB7)))))),
% 9.51/7.04 inference(rewrite,[status(thm)],[])).
% 9.51/7.04 tff(28884,plain,
% 9.51/7.04 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB7) <=> (~((~v154(constB7)) | (~v132(constB7)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB7) <=> (~((~v132(constB7)) | (~v154(constB7))))))),
% 9.51/7.04 inference(monotonicity,[status(thm)],[28883])).
% 9.51/7.04 tff(28885,plain,
% 9.51/7.04 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB7) <=> (~((~v154(constB7)) | (~v132(constB7)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB7) <=> (~((~v132(constB7)) | (~v154(constB7))))))),
% 9.51/7.04 inference(transitivity,[status(thm)],[28884, 28882])).
% 9.51/7.04 tff(28886,plain,
% 9.51/7.04 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB7) <=> (~((~v154(constB7)) | (~v132(constB7)))))),
% 9.51/7.04 inference(quant_inst,[status(thm)],[])).
% 9.51/7.04 tff(28887,plain,
% 9.51/7.04 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB7) <=> (~((~v132(constB7)) | (~v154(constB7)))))),
% 9.51/7.04 inference(modus_ponens,[status(thm)],[28886, 28885])).
% 9.51/7.04 tff(28888,plain,
% 9.51/7.04 (v153(constB7) <=> (~((~v132(constB7)) | (~v154(constB7))))),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[28887, 399])).
% 9.51/7.04 tff(28889,plain,
% 9.51/7.04 ((~![VarNext: $i] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB7) <=> v137(constB7))),
% 9.51/7.04 inference(quant_inst,[status(thm)],[])).
% 9.51/7.04 tff(28890,plain,
% 9.51/7.04 (v132(constB7) <=> v137(constB7)),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[28889, 558])).
% 9.51/7.04 tff(28891,plain,
% 9.51/7.04 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB6, constB7)) | (v137(constB7) <=> v135(constB6)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB6, constB7)) | (v137(constB7) <=> v135(constB6)))),
% 9.51/7.04 inference(rewrite,[status(thm)],[])).
% 9.51/7.04 tff(28892,plain,
% 9.51/7.04 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB6, constB7)) | (v137(constB7) <=> v135(constB6)))),
% 9.51/7.04 inference(quant_inst,[status(thm)],[])).
% 9.51/7.04 tff(28893,plain,
% 9.51/7.04 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB6, constB7)) | (v137(constB7) <=> v135(constB6))),
% 9.51/7.04 inference(modus_ponens,[status(thm)],[28892, 28891])).
% 9.51/7.04 tff(28894,plain,
% 9.51/7.04 (v137(constB7) <=> v135(constB6)),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[28893, 9447, 570])).
% 9.51/7.04 tff(28895,plain,
% 9.51/7.04 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB6) <=> (v138(constB6) | v142(constB6)))),
% 9.51/7.04 inference(quant_inst,[status(thm)],[])).
% 9.51/7.04 tff(28896,plain,
% 9.51/7.04 (v135(constB6) <=> (v138(constB6) | v142(constB6))),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[28895, 584])).
% 9.51/7.04 tff(28897,plain,
% 9.51/7.04 ((~![VarCurr: $i] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB6) <=> (~((~v143(constB6)) | (~v144(constB6)))))),
% 9.51/7.04 inference(quant_inst,[status(thm)],[])).
% 9.51/7.04 tff(28898,plain,
% 9.51/7.04 (v142(constB6) <=> (~((~v143(constB6)) | (~v144(constB6))))),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[28897, 596])).
% 9.51/7.04 tff(28899,plain,
% 9.51/7.04 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB6) <=> (~((~v141(constB6)) | (~v145(constB6)))))),
% 9.51/7.04 inference(quant_inst,[status(thm)],[])).
% 9.51/7.04 tff(28900,plain,
% 9.51/7.04 (v144(constB6) <=> (~((~v141(constB6)) | (~v145(constB6))))),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[28899, 608])).
% 9.51/7.04 tff(28901,plain,
% 9.51/7.04 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB6) <=> (~((~v39(constB6)) | (~v9(constB6)))))),
% 9.51/7.04 inference(quant_inst,[status(thm)],[])).
% 9.51/7.04 tff(28902,plain,
% 9.51/7.04 (v141(constB6) <=> (~((~v39(constB6)) | (~v9(constB6))))),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[28901, 130])).
% 9.51/7.04 tff(28903,plain,
% 9.51/7.04 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB6)) <=> v1(constB6))),
% 9.51/7.04 inference(quant_inst,[status(thm)],[])).
% 9.51/7.04 tff(28904,plain,
% 9.51/7.04 ((~v39(constB6)) <=> v1(constB6)),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[28903, 139])).
% 9.51/7.04 tff(28905,plain,
% 9.51/7.04 ((~((~v39(constB6)) <=> v1(constB6))) | (~v39(constB6)) | (~v1(constB6))),
% 9.51/7.04 inference(tautology,[status(thm)],[])).
% 9.51/7.04 tff(28906,plain,
% 9.51/7.04 ((~((~v39(constB6)) <=> v1(constB6))) | (~v39(constB6))),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[28905, 9509])).
% 9.51/7.04 tff(28907,plain,
% 9.51/7.04 (~v39(constB6)),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[28906, 28904])).
% 9.51/7.04 tff(28908,plain,
% 9.51/7.04 (((~v39(constB6)) | (~v9(constB6))) | v39(constB6)),
% 9.51/7.04 inference(tautology,[status(thm)],[])).
% 9.51/7.04 tff(28909,plain,
% 9.51/7.04 ((~v39(constB6)) | (~v9(constB6))),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[28908, 28907])).
% 9.51/7.04 tff(28910,plain,
% 9.51/7.04 ((~(v141(constB6) <=> (~((~v39(constB6)) | (~v9(constB6)))))) | (~v141(constB6)) | (~((~v39(constB6)) | (~v9(constB6))))),
% 9.51/7.04 inference(tautology,[status(thm)],[])).
% 9.51/7.04 tff(28911,plain,
% 9.51/7.04 ((~(v141(constB6) <=> (~((~v39(constB6)) | (~v9(constB6)))))) | (~v141(constB6))),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[28910, 28909])).
% 9.51/7.04 tff(28912,plain,
% 9.51/7.04 (~v141(constB6)),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[28911, 28902])).
% 9.51/7.04 tff(28913,plain,
% 9.51/7.04 (((~v141(constB6)) | (~v145(constB6))) | v141(constB6)),
% 9.51/7.04 inference(tautology,[status(thm)],[])).
% 9.51/7.04 tff(28914,plain,
% 9.51/7.04 ((~v141(constB6)) | (~v145(constB6))),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[28913, 28912])).
% 9.51/7.04 tff(28915,plain,
% 9.51/7.04 ((~(v144(constB6) <=> (~((~v141(constB6)) | (~v145(constB6)))))) | (~v144(constB6)) | (~((~v141(constB6)) | (~v145(constB6))))),
% 9.51/7.04 inference(tautology,[status(thm)],[])).
% 9.51/7.04 tff(28916,plain,
% 9.51/7.04 ((~(v144(constB6) <=> (~((~v141(constB6)) | (~v145(constB6)))))) | (~v144(constB6))),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[28915, 28914])).
% 9.51/7.04 tff(28917,plain,
% 9.51/7.04 (~v144(constB6)),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[28916, 28900])).
% 9.51/7.04 tff(28918,plain,
% 9.51/7.04 (((~v143(constB6)) | (~v144(constB6))) | v144(constB6)),
% 9.51/7.04 inference(tautology,[status(thm)],[])).
% 9.51/7.04 tff(28919,plain,
% 9.51/7.04 ((~v143(constB6)) | (~v144(constB6))),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[28918, 28917])).
% 9.51/7.04 tff(28920,plain,
% 9.51/7.04 ((~(v142(constB6) <=> (~((~v143(constB6)) | (~v144(constB6)))))) | (~v142(constB6)) | (~((~v143(constB6)) | (~v144(constB6))))),
% 9.51/7.04 inference(tautology,[status(thm)],[])).
% 9.51/7.04 tff(28921,plain,
% 9.51/7.04 (~v142(constB6)),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[28920, 28919, 28898])).
% 9.51/7.04 tff(28922,plain,
% 9.51/7.04 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB6) <=> (~((~v132(constB6)) | (~v139(constB6)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB6) <=> (~((~v132(constB6)) | (~v139(constB6))))))),
% 9.51/7.04 inference(rewrite,[status(thm)],[])).
% 9.51/7.04 tff(28923,plain,
% 9.51/7.04 ((v138(constB6) <=> (~((~v139(constB6)) | (~v132(constB6))))) <=> (v138(constB6) <=> (~((~v132(constB6)) | (~v139(constB6)))))),
% 9.51/7.04 inference(rewrite,[status(thm)],[])).
% 9.51/7.04 tff(28924,plain,
% 9.51/7.04 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB6) <=> (~((~v139(constB6)) | (~v132(constB6)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB6) <=> (~((~v132(constB6)) | (~v139(constB6))))))),
% 9.51/7.04 inference(monotonicity,[status(thm)],[28923])).
% 9.51/7.04 tff(28925,plain,
% 9.51/7.04 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB6) <=> (~((~v139(constB6)) | (~v132(constB6)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB6) <=> (~((~v132(constB6)) | (~v139(constB6))))))),
% 9.51/7.04 inference(transitivity,[status(thm)],[28924, 28922])).
% 9.51/7.04 tff(28926,plain,
% 9.51/7.04 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB6) <=> (~((~v139(constB6)) | (~v132(constB6)))))),
% 9.51/7.04 inference(quant_inst,[status(thm)],[])).
% 9.51/7.04 tff(28927,plain,
% 9.51/7.04 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB6) <=> (~((~v132(constB6)) | (~v139(constB6)))))),
% 9.51/7.04 inference(modus_ponens,[status(thm)],[28926, 28925])).
% 9.51/7.04 tff(28928,plain,
% 9.51/7.04 (v138(constB6) <=> (~((~v132(constB6)) | (~v139(constB6))))),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[28927, 644])).
% 9.51/7.04 tff(28929,plain,
% 9.51/7.04 ((~![VarNext: $i] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB6) <=> v137(constB6))),
% 9.51/7.04 inference(quant_inst,[status(thm)],[])).
% 9.51/7.04 tff(28930,plain,
% 9.51/7.04 (v132(constB6) <=> v137(constB6)),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[28929, 558])).
% 9.51/7.04 tff(28931,plain,
% 9.51/7.04 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB5, constB6)) | (v137(constB6) <=> v135(constB5)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB5, constB6)) | (v137(constB6) <=> v135(constB5)))),
% 9.51/7.04 inference(rewrite,[status(thm)],[])).
% 9.51/7.04 tff(28932,plain,
% 9.51/7.04 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB5, constB6)) | (v137(constB6) <=> v135(constB5)))),
% 9.51/7.04 inference(quant_inst,[status(thm)],[])).
% 9.51/7.04 tff(28933,plain,
% 9.51/7.04 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB5, constB6)) | (v137(constB6) <=> v135(constB5))),
% 9.51/7.04 inference(modus_ponens,[status(thm)],[28932, 28931])).
% 9.51/7.04 tff(28934,plain,
% 9.51/7.04 (v137(constB6) <=> v135(constB5)),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[28933, 9479, 570])).
% 9.51/7.04 tff(28935,plain,
% 9.51/7.04 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB5) <=> (v138(constB5) | v142(constB5)))),
% 9.51/7.04 inference(quant_inst,[status(thm)],[])).
% 9.51/7.04 tff(28936,plain,
% 9.51/7.04 (v135(constB5) <=> (v138(constB5) | v142(constB5))),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[28935, 584])).
% 9.51/7.04 tff(28937,plain,
% 9.51/7.04 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB5) <=> (~((~v132(constB5)) | (~v139(constB5)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB5) <=> (~((~v132(constB5)) | (~v139(constB5))))))),
% 9.51/7.04 inference(rewrite,[status(thm)],[])).
% 9.51/7.04 tff(28938,plain,
% 9.51/7.04 ((v138(constB5) <=> (~((~v139(constB5)) | (~v132(constB5))))) <=> (v138(constB5) <=> (~((~v132(constB5)) | (~v139(constB5)))))),
% 9.51/7.04 inference(rewrite,[status(thm)],[])).
% 9.51/7.04 tff(28939,plain,
% 9.51/7.04 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB5) <=> (~((~v139(constB5)) | (~v132(constB5)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB5) <=> (~((~v132(constB5)) | (~v139(constB5))))))),
% 9.51/7.04 inference(monotonicity,[status(thm)],[28938])).
% 9.51/7.04 tff(28940,plain,
% 9.51/7.04 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB5) <=> (~((~v139(constB5)) | (~v132(constB5)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB5) <=> (~((~v132(constB5)) | (~v139(constB5))))))),
% 9.51/7.04 inference(transitivity,[status(thm)],[28939, 28937])).
% 9.51/7.04 tff(28941,plain,
% 9.51/7.04 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB5) <=> (~((~v139(constB5)) | (~v132(constB5)))))),
% 9.51/7.04 inference(quant_inst,[status(thm)],[])).
% 9.51/7.04 tff(28942,plain,
% 9.51/7.04 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB5) <=> (~((~v132(constB5)) | (~v139(constB5)))))),
% 9.51/7.04 inference(modus_ponens,[status(thm)],[28941, 28940])).
% 9.51/7.04 tff(28943,plain,
% 9.51/7.04 (v138(constB5) <=> (~((~v132(constB5)) | (~v139(constB5))))),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[28942, 644])).
% 9.51/7.04 tff(28944,plain,
% 9.51/7.04 ((~![VarCurr: $i] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB5)) <=> v140(constB5))),
% 9.51/7.04 inference(quant_inst,[status(thm)],[])).
% 9.51/7.04 tff(28945,plain,
% 9.51/7.04 ((~v139(constB5)) <=> v140(constB5)),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[28944, 203])).
% 9.51/7.04 tff(28946,plain,
% 9.51/7.04 ((~![VarCurr: $i] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB5) <=> (v141(constB5) | v26(constB5)))),
% 9.51/7.04 inference(quant_inst,[status(thm)],[])).
% 9.51/7.04 tff(28947,plain,
% 9.51/7.04 (v140(constB5) <=> (v141(constB5) | v26(constB5))),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[28946, 212])).
% 9.51/7.04 tff(28948,plain,
% 9.51/7.04 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB5) <=> (~((~v39(constB5)) | (~v9(constB5)))))),
% 9.51/7.04 inference(quant_inst,[status(thm)],[])).
% 9.51/7.04 tff(28949,plain,
% 9.51/7.04 (v141(constB5) <=> (~((~v39(constB5)) | (~v9(constB5))))),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[28948, 130])).
% 9.51/7.04 tff(28950,plain,
% 9.51/7.04 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB5, constB6)) | (v13(constB6) <=> v9(constB5)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB5, constB6)) | (v13(constB6) <=> v9(constB5)))),
% 9.51/7.04 inference(rewrite,[status(thm)],[])).
% 9.51/7.04 tff(28951,plain,
% 9.51/7.04 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB5, constB6)) | (v13(constB6) <=> v9(constB5)))),
% 9.51/7.04 inference(quant_inst,[status(thm)],[])).
% 9.51/7.04 tff(28952,plain,
% 9.51/7.04 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB5, constB6)) | (v13(constB6) <=> v9(constB5))),
% 9.51/7.04 inference(modus_ponens,[status(thm)],[28951, 28950])).
% 9.51/7.04 tff(28953,plain,
% 9.51/7.04 (v13(constB6) <=> v9(constB5)),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[28952, 9479, 226])).
% 9.51/7.04 tff(28954,plain,
% 9.51/7.04 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB6) <=> v13(constB6))),
% 9.51/7.04 inference(quant_inst,[status(thm)],[])).
% 9.51/7.04 tff(28955,plain,
% 9.51/7.04 (v6(constB6) <=> v13(constB6)),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[28954, 240])).
% 9.51/7.04 tff(28956,plain,
% 9.51/7.04 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB6)) <=> v6(constB6))),
% 9.51/7.04 inference(quant_inst,[status(thm)],[])).
% 9.51/7.04 tff(28957,plain,
% 9.51/7.04 ((~v21(constB6)) <=> v6(constB6)),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[28956, 249])).
% 9.51/7.04 tff(28958,plain,
% 9.51/7.04 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB6) <=> (v20(constB6) | v21(constB6)))),
% 9.51/7.04 inference(quant_inst,[status(thm)],[])).
% 9.51/7.04 tff(28959,plain,
% 9.51/7.04 (v19(constB6) <=> (v20(constB6) | v21(constB6))),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[28958, 258])).
% 9.51/7.04 tff(28960,plain,
% 9.51/7.04 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB6) <=> (~((~v19(constB6)) | (~v22(constB6)))))),
% 9.51/7.04 inference(quant_inst,[status(thm)],[])).
% 9.51/7.04 tff(28961,plain,
% 9.51/7.04 (v18(constB6) <=> (~((~v19(constB6)) | (~v22(constB6))))),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[28960, 270])).
% 9.51/7.04 tff(28962,plain,
% 9.51/7.04 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB6)) <=> v18(constB6))),
% 9.51/7.04 inference(quant_inst,[status(thm)],[])).
% 9.51/7.04 tff(28963,plain,
% 9.51/7.04 ((~v4(constB6)) <=> v18(constB6)),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[28962, 279])).
% 9.51/7.04 tff(28964,plain,
% 9.51/7.04 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB6)),
% 9.51/7.04 inference(quant_inst,[status(thm)],[])).
% 9.51/7.04 tff(28965,plain,
% 9.51/7.04 (v4(constB6)),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[28964, 288])).
% 9.51/7.04 tff(28966,plain,
% 9.51/7.04 ((~((~v4(constB6)) <=> v18(constB6))) | (~v4(constB6)) | (~v18(constB6))),
% 9.51/7.04 inference(tautology,[status(thm)],[])).
% 9.51/7.04 tff(28967,plain,
% 9.51/7.04 (~v18(constB6)),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[28966, 28965, 28963])).
% 9.51/7.04 tff(28968,plain,
% 9.51/7.04 ((~(v18(constB6) <=> (~((~v19(constB6)) | (~v22(constB6)))))) | v18(constB6) | ((~v19(constB6)) | (~v22(constB6)))),
% 9.51/7.04 inference(tautology,[status(thm)],[])).
% 9.51/7.04 tff(28969,plain,
% 9.51/7.04 ((~v19(constB6)) | (~v22(constB6))),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[28968, 28967, 28961])).
% 9.51/7.04 tff(28970,plain,
% 9.51/7.04 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB6) <=> (v1(constB6) | v6(constB6)))),
% 9.51/7.04 inference(quant_inst,[status(thm)],[])).
% 9.51/7.04 tff(28971,plain,
% 9.51/7.04 (v22(constB6) <=> (v1(constB6) | v6(constB6))),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[28970, 301])).
% 9.51/7.04 tff(28972,plain,
% 9.51/7.04 ((v1(constB6) | v6(constB6)) | (~v1(constB6))),
% 9.51/7.04 inference(tautology,[status(thm)],[])).
% 9.51/7.04 tff(28973,plain,
% 9.51/7.04 (v1(constB6) | v6(constB6)),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[28972, 9509])).
% 9.51/7.04 tff(28974,plain,
% 9.51/7.04 ((~(v22(constB6) <=> (v1(constB6) | v6(constB6)))) | v22(constB6) | (~(v1(constB6) | v6(constB6)))),
% 9.51/7.04 inference(tautology,[status(thm)],[])).
% 9.51/7.04 tff(28975,plain,
% 9.51/7.04 ((~(v22(constB6) <=> (v1(constB6) | v6(constB6)))) | v22(constB6)),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[28974, 28973])).
% 9.51/7.04 tff(28976,plain,
% 9.51/7.04 (v22(constB6)),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[28975, 28971])).
% 9.51/7.04 tff(28977,plain,
% 9.51/7.04 ((~((~v19(constB6)) | (~v22(constB6)))) | (~v19(constB6)) | (~v22(constB6))),
% 9.51/7.04 inference(tautology,[status(thm)],[])).
% 9.51/7.04 tff(28978,plain,
% 9.51/7.04 ((~((~v19(constB6)) | (~v22(constB6)))) | (~v19(constB6))),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[28977, 28976])).
% 9.51/7.04 tff(28979,plain,
% 9.51/7.04 (~v19(constB6)),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[28978, 28969])).
% 9.51/7.04 tff(28980,plain,
% 9.51/7.04 ((~(v19(constB6) <=> (v20(constB6) | v21(constB6)))) | v19(constB6) | (~(v20(constB6) | v21(constB6)))),
% 9.51/7.04 inference(tautology,[status(thm)],[])).
% 9.51/7.04 tff(28981,plain,
% 9.51/7.04 (~(v20(constB6) | v21(constB6))),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[28980, 28979, 28959])).
% 9.51/7.04 tff(28982,plain,
% 9.51/7.04 ((v20(constB6) | v21(constB6)) | (~v21(constB6))),
% 9.51/7.04 inference(tautology,[status(thm)],[])).
% 9.51/7.04 tff(28983,plain,
% 9.51/7.04 (~v21(constB6)),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[28982, 28981])).
% 9.51/7.04 tff(28984,plain,
% 9.51/7.04 ((~((~v21(constB6)) <=> v6(constB6))) | v21(constB6) | v6(constB6)),
% 9.51/7.04 inference(tautology,[status(thm)],[])).
% 9.51/7.04 tff(28985,plain,
% 9.51/7.04 (v6(constB6)),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[28984, 28983, 28957])).
% 9.51/7.04 tff(28986,plain,
% 9.51/7.04 ((~(v6(constB6) <=> v13(constB6))) | (~v6(constB6)) | v13(constB6)),
% 9.51/7.04 inference(tautology,[status(thm)],[])).
% 9.51/7.04 tff(28987,plain,
% 9.51/7.04 (v13(constB6)),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[28986, 28985, 28955])).
% 9.51/7.04 tff(28988,plain,
% 9.51/7.04 ((~(v13(constB6) <=> v9(constB5))) | (~v13(constB6)) | v9(constB5)),
% 9.51/7.04 inference(tautology,[status(thm)],[])).
% 9.51/7.04 tff(28989,plain,
% 9.51/7.04 (v9(constB5)),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[28988, 28987, 28953])).
% 9.51/7.04 tff(28990,plain,
% 9.51/7.04 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB5)) <=> v1(constB5))),
% 9.51/7.04 inference(quant_inst,[status(thm)],[])).
% 9.51/7.04 tff(28991,plain,
% 9.51/7.04 ((~v39(constB5)) <=> v1(constB5)),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[28990, 139])).
% 9.51/7.04 tff(28992,plain,
% 9.51/7.04 ((~((~v39(constB5)) <=> v1(constB5))) | v39(constB5) | v1(constB5)),
% 9.51/7.04 inference(tautology,[status(thm)],[])).
% 9.51/7.04 tff(28993,plain,
% 9.51/7.04 ((~((~v39(constB5)) <=> v1(constB5))) | v39(constB5)),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[28992, 9501])).
% 9.51/7.04 tff(28994,plain,
% 9.51/7.04 (v39(constB5)),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[28993, 28991])).
% 9.51/7.04 tff(28995,plain,
% 9.51/7.04 ((~((~v39(constB5)) | (~v9(constB5)))) | (~v39(constB5)) | (~v9(constB5))),
% 9.51/7.04 inference(tautology,[status(thm)],[])).
% 9.51/7.04 tff(28996,plain,
% 9.51/7.04 ((~((~v39(constB5)) | (~v9(constB5)))) | (~v9(constB5))),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[28995, 28994])).
% 9.51/7.04 tff(28997,plain,
% 9.51/7.04 (~((~v39(constB5)) | (~v9(constB5)))),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[28996, 28989])).
% 9.51/7.04 tff(28998,plain,
% 9.51/7.04 ((~(v141(constB5) <=> (~((~v39(constB5)) | (~v9(constB5)))))) | v141(constB5) | ((~v39(constB5)) | (~v9(constB5)))),
% 9.51/7.04 inference(tautology,[status(thm)],[])).
% 9.51/7.04 tff(28999,plain,
% 9.51/7.04 (v141(constB5)),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[28998, 28997, 28949])).
% 9.51/7.04 tff(29000,plain,
% 9.51/7.04 ((v141(constB5) | v26(constB5)) | (~v141(constB5))),
% 9.51/7.04 inference(tautology,[status(thm)],[])).
% 9.51/7.04 tff(29001,plain,
% 9.51/7.04 (v141(constB5) | v26(constB5)),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[29000, 28999])).
% 9.51/7.04 tff(29002,plain,
% 9.51/7.04 ((~(v140(constB5) <=> (v141(constB5) | v26(constB5)))) | v140(constB5) | (~(v141(constB5) | v26(constB5)))),
% 9.51/7.04 inference(tautology,[status(thm)],[])).
% 9.51/7.04 tff(29003,plain,
% 9.51/7.04 (v140(constB5)),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[29002, 29001, 28947])).
% 9.51/7.04 tff(29004,plain,
% 9.51/7.04 ((~((~v139(constB5)) <=> v140(constB5))) | (~v139(constB5)) | (~v140(constB5))),
% 9.51/7.04 inference(tautology,[status(thm)],[])).
% 9.51/7.04 tff(29005,plain,
% 9.51/7.04 (~v139(constB5)),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[29004, 29003, 28945])).
% 9.51/7.04 tff(29006,plain,
% 9.51/7.04 (((~v132(constB5)) | (~v139(constB5))) | v139(constB5)),
% 9.51/7.04 inference(tautology,[status(thm)],[])).
% 9.51/7.04 tff(29007,plain,
% 9.51/7.04 ((~v132(constB5)) | (~v139(constB5))),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[29006, 29005])).
% 9.51/7.04 tff(29008,plain,
% 9.51/7.04 ((~(v138(constB5) <=> (~((~v132(constB5)) | (~v139(constB5)))))) | (~v138(constB5)) | (~((~v132(constB5)) | (~v139(constB5))))),
% 9.51/7.04 inference(tautology,[status(thm)],[])).
% 9.51/7.04 tff(29009,plain,
% 9.51/7.04 (~v138(constB5)),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[29008, 29007, 28943])).
% 9.51/7.04 tff(29010,plain,
% 9.51/7.04 ((~![VarCurr: $i] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB5) <=> (~((~v143(constB5)) | (~v144(constB5)))))),
% 9.51/7.04 inference(quant_inst,[status(thm)],[])).
% 9.51/7.04 tff(29011,plain,
% 9.51/7.04 (v142(constB5) <=> (~((~v143(constB5)) | (~v144(constB5))))),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[29010, 596])).
% 9.51/7.04 tff(29012,plain,
% 9.51/7.04 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB5) <=> (~((~v141(constB5)) | (~v145(constB5)))))),
% 9.51/7.04 inference(quant_inst,[status(thm)],[])).
% 9.51/7.04 tff(29013,plain,
% 9.51/7.04 (v144(constB5) <=> (~((~v141(constB5)) | (~v145(constB5))))),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[29012, 608])).
% 9.51/7.04 tff(29014,plain,
% 9.51/7.04 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB5) <=> (~(v84(constB5, bitIndex2) | v84(constB5, bitIndex1) | (~v84(constB5, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB5) <=> (~(v84(constB5, bitIndex2) | v84(constB5, bitIndex1) | (~v84(constB5, bitIndex0))))))),
% 9.51/7.04 inference(rewrite,[status(thm)],[])).
% 9.51/7.04 tff(29015,plain,
% 9.51/7.04 ((v145(constB5) <=> (~(v84(constB5, bitIndex1) | v84(constB5, bitIndex2) | (~v84(constB5, bitIndex0))))) <=> (v145(constB5) <=> (~(v84(constB5, bitIndex2) | v84(constB5, bitIndex1) | (~v84(constB5, bitIndex0)))))),
% 9.51/7.04 inference(rewrite,[status(thm)],[])).
% 9.51/7.04 tff(29016,plain,
% 9.51/7.04 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB5) <=> (~(v84(constB5, bitIndex1) | v84(constB5, bitIndex2) | (~v84(constB5, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB5) <=> (~(v84(constB5, bitIndex2) | v84(constB5, bitIndex1) | (~v84(constB5, bitIndex0))))))),
% 9.51/7.04 inference(monotonicity,[status(thm)],[29015])).
% 9.51/7.04 tff(29017,plain,
% 9.51/7.04 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB5) <=> (~(v84(constB5, bitIndex1) | v84(constB5, bitIndex2) | (~v84(constB5, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB5) <=> (~(v84(constB5, bitIndex2) | v84(constB5, bitIndex1) | (~v84(constB5, bitIndex0))))))),
% 9.51/7.04 inference(transitivity,[status(thm)],[29016, 29014])).
% 9.51/7.04 tff(29018,plain,
% 9.51/7.04 ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB5) <=> (~(v84(constB5, bitIndex1) | v84(constB5, bitIndex2) | (~v84(constB5, bitIndex0)))))),
% 9.51/7.04 inference(quant_inst,[status(thm)],[])).
% 9.51/7.04 tff(29019,plain,
% 9.51/7.04 ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB5) <=> (~(v84(constB5, bitIndex2) | v84(constB5, bitIndex1) | (~v84(constB5, bitIndex0)))))),
% 9.51/7.04 inference(modus_ponens,[status(thm)],[29018, 29017])).
% 9.51/7.04 tff(29020,plain,
% 9.51/7.04 (v145(constB5) <=> (~(v84(constB5, bitIndex2) | v84(constB5, bitIndex1) | (~v84(constB5, bitIndex0))))),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[29019, 755])).
% 9.51/7.04 tff(29021,plain,
% 9.51/7.04 ((v84(constB5, bitIndex2) | v84(constB5, bitIndex1) | (~v84(constB5, bitIndex0))) | (~v84(constB5, bitIndex1))),
% 9.51/7.04 inference(tautology,[status(thm)],[])).
% 9.51/7.04 tff(29022,plain,
% 9.51/7.04 (v84(constB5, bitIndex2) | v84(constB5, bitIndex1) | (~v84(constB5, bitIndex0))),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[29021, 10240])).
% 9.51/7.04 tff(29023,plain,
% 9.51/7.04 ((~(v145(constB5) <=> (~(v84(constB5, bitIndex2) | v84(constB5, bitIndex1) | (~v84(constB5, bitIndex0)))))) | (~v145(constB5)) | (~(v84(constB5, bitIndex2) | v84(constB5, bitIndex1) | (~v84(constB5, bitIndex0))))),
% 9.51/7.04 inference(tautology,[status(thm)],[])).
% 9.51/7.04 tff(29024,plain,
% 9.51/7.04 (~v145(constB5)),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[29023, 29022, 29020])).
% 9.51/7.04 tff(29025,plain,
% 9.51/7.04 (((~v141(constB5)) | (~v145(constB5))) | v145(constB5)),
% 9.51/7.04 inference(tautology,[status(thm)],[])).
% 9.51/7.04 tff(29026,plain,
% 9.51/7.04 ((~v141(constB5)) | (~v145(constB5))),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[29025, 29024])).
% 9.51/7.04 tff(29027,plain,
% 9.51/7.04 ((~(v144(constB5) <=> (~((~v141(constB5)) | (~v145(constB5)))))) | (~v144(constB5)) | (~((~v141(constB5)) | (~v145(constB5))))),
% 9.51/7.04 inference(tautology,[status(thm)],[])).
% 9.51/7.04 tff(29028,plain,
% 9.51/7.04 (~v144(constB5)),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[29027, 29026, 29013])).
% 9.51/7.04 tff(29029,plain,
% 9.51/7.04 (((~v143(constB5)) | (~v144(constB5))) | v144(constB5)),
% 9.51/7.04 inference(tautology,[status(thm)],[])).
% 9.51/7.04 tff(29030,plain,
% 9.51/7.04 ((~v143(constB5)) | (~v144(constB5))),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[29029, 29028])).
% 9.51/7.04 tff(29031,plain,
% 9.51/7.04 ((~(v142(constB5) <=> (~((~v143(constB5)) | (~v144(constB5)))))) | (~v142(constB5)) | (~((~v143(constB5)) | (~v144(constB5))))),
% 9.51/7.04 inference(tautology,[status(thm)],[])).
% 9.51/7.04 tff(29032,plain,
% 9.51/7.04 (~v142(constB5)),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[29031, 29030, 29011])).
% 9.51/7.04 tff(29033,plain,
% 9.51/7.04 ((~(v138(constB5) | v142(constB5))) | v138(constB5) | v142(constB5)),
% 9.51/7.04 inference(tautology,[status(thm)],[])).
% 9.51/7.04 tff(29034,plain,
% 9.51/7.04 (~(v138(constB5) | v142(constB5))),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[29033, 29032, 29009])).
% 9.51/7.04 tff(29035,plain,
% 9.51/7.04 ((~(v135(constB5) <=> (v138(constB5) | v142(constB5)))) | (~v135(constB5)) | (v138(constB5) | v142(constB5))),
% 9.51/7.04 inference(tautology,[status(thm)],[])).
% 9.51/7.04 tff(29036,plain,
% 9.51/7.04 (~v135(constB5)),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[29035, 29034, 28936])).
% 9.51/7.04 tff(29037,plain,
% 9.51/7.04 ((~(v137(constB6) <=> v135(constB5))) | (~v137(constB6)) | v135(constB5)),
% 9.51/7.04 inference(tautology,[status(thm)],[])).
% 9.51/7.04 tff(29038,plain,
% 9.51/7.04 (~v137(constB6)),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[29037, 29036, 28934])).
% 9.51/7.04 tff(29039,plain,
% 9.51/7.04 ((~(v132(constB6) <=> v137(constB6))) | (~v132(constB6)) | v137(constB6)),
% 9.51/7.04 inference(tautology,[status(thm)],[])).
% 9.51/7.04 tff(29040,plain,
% 9.51/7.04 (~v132(constB6)),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[29039, 29038, 28930])).
% 9.51/7.04 tff(29041,plain,
% 9.51/7.04 (((~v132(constB6)) | (~v139(constB6))) | v132(constB6)),
% 9.51/7.04 inference(tautology,[status(thm)],[])).
% 9.51/7.04 tff(29042,plain,
% 9.51/7.04 ((~v132(constB6)) | (~v139(constB6))),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[29041, 29040])).
% 9.51/7.04 tff(29043,plain,
% 9.51/7.04 ((~(v138(constB6) <=> (~((~v132(constB6)) | (~v139(constB6)))))) | (~v138(constB6)) | (~((~v132(constB6)) | (~v139(constB6))))),
% 9.51/7.04 inference(tautology,[status(thm)],[])).
% 9.51/7.04 tff(29044,plain,
% 9.51/7.04 (~v138(constB6)),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[29043, 29042, 28928])).
% 9.51/7.04 tff(29045,plain,
% 9.51/7.04 ((~(v138(constB6) | v142(constB6))) | v138(constB6) | v142(constB6)),
% 9.51/7.04 inference(tautology,[status(thm)],[])).
% 9.51/7.04 tff(29046,plain,
% 9.51/7.04 (~(v138(constB6) | v142(constB6))),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[29045, 29044, 28921])).
% 9.51/7.04 tff(29047,plain,
% 9.51/7.04 ((~(v135(constB6) <=> (v138(constB6) | v142(constB6)))) | (~v135(constB6)) | (v138(constB6) | v142(constB6))),
% 9.51/7.04 inference(tautology,[status(thm)],[])).
% 9.51/7.04 tff(29048,plain,
% 9.51/7.04 (~v135(constB6)),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[29047, 29046, 28896])).
% 9.51/7.04 tff(29049,plain,
% 9.51/7.04 ((~(v137(constB7) <=> v135(constB6))) | (~v137(constB7)) | v135(constB6)),
% 9.51/7.04 inference(tautology,[status(thm)],[])).
% 9.51/7.04 tff(29050,plain,
% 9.51/7.04 (~v137(constB7)),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[29049, 29048, 28894])).
% 9.51/7.04 tff(29051,plain,
% 9.51/7.04 ((~(v132(constB7) <=> v137(constB7))) | (~v132(constB7)) | v137(constB7)),
% 9.51/7.04 inference(tautology,[status(thm)],[])).
% 9.51/7.04 tff(29052,plain,
% 9.51/7.04 (~v132(constB7)),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[29051, 29050, 28890])).
% 9.51/7.04 tff(29053,plain,
% 9.51/7.04 (((~v132(constB7)) | (~v154(constB7))) | v132(constB7)),
% 9.51/7.04 inference(tautology,[status(thm)],[])).
% 9.51/7.04 tff(29054,plain,
% 9.51/7.04 ((~v132(constB7)) | (~v154(constB7))),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[29053, 29052])).
% 9.51/7.04 tff(29055,plain,
% 9.51/7.04 ((~(v153(constB7) <=> (~((~v132(constB7)) | (~v154(constB7)))))) | (~v153(constB7)) | (~((~v132(constB7)) | (~v154(constB7))))),
% 9.51/7.04 inference(tautology,[status(thm)],[])).
% 9.51/7.04 tff(29056,plain,
% 9.51/7.04 (~v153(constB7)),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[29055, 29054, 28888])).
% 9.51/7.04 tff(29057,plain,
% 9.51/7.04 ((~(v153(constB7) | v155(constB7))) | v153(constB7) | v155(constB7)),
% 9.51/7.04 inference(tautology,[status(thm)],[])).
% 9.51/7.04 tff(29058,plain,
% 9.51/7.04 (~(v153(constB7) | v155(constB7))),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[29057, 29056, 28881])).
% 9.51/7.04 tff(29059,plain,
% 9.51/7.04 ((~(v150(constB7) <=> (v153(constB7) | v155(constB7)))) | (~v150(constB7)) | (v153(constB7) | v155(constB7))),
% 9.51/7.04 inference(tautology,[status(thm)],[])).
% 9.51/7.04 tff(29060,plain,
% 9.51/7.04 (~v150(constB7)),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[29059, 29058, 28808])).
% 9.51/7.04 tff(29061,plain,
% 9.51/7.04 ((~(v152(constB8) <=> v150(constB7))) | (~v152(constB8)) | v150(constB7)),
% 9.51/7.04 inference(tautology,[status(thm)],[])).
% 9.51/7.04 tff(29062,plain,
% 9.51/7.04 (~v152(constB8)),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[29061, 29060, 28806])).
% 9.51/7.04 tff(29063,plain,
% 9.51/7.04 ((~(v130(constB8) <=> v152(constB8))) | (~v130(constB8)) | v152(constB8)),
% 9.51/7.04 inference(tautology,[status(thm)],[])).
% 9.51/7.04 tff(29064,plain,
% 9.51/7.04 (~v130(constB8)),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[29063, 29062, 28802])).
% 9.51/7.04 tff(29065,plain,
% 9.51/7.04 (((~v130(constB8)) | (~v139(constB8))) | v130(constB8)),
% 9.51/7.04 inference(tautology,[status(thm)],[])).
% 9.51/7.04 tff(29066,plain,
% 9.51/7.04 ((~v130(constB8)) | (~v139(constB8))),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[29065, 29064])).
% 9.51/7.04 tff(29067,plain,
% 9.51/7.04 ((~(v155(constB8) <=> (~((~v130(constB8)) | (~v139(constB8)))))) | (~v155(constB8)) | (~((~v130(constB8)) | (~v139(constB8))))),
% 9.51/7.04 inference(tautology,[status(thm)],[])).
% 9.51/7.04 tff(29068,plain,
% 9.51/7.04 (~v155(constB8)),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[29067, 29066, 28800])).
% 9.51/7.04 tff(29069,plain,
% 9.51/7.04 ((~(v153(constB8) | v155(constB8))) | v153(constB8) | v155(constB8)),
% 9.51/7.04 inference(tautology,[status(thm)],[])).
% 9.51/7.04 tff(29070,plain,
% 9.51/7.04 (~(v153(constB8) | v155(constB8))),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[29069, 29068, 28793])).
% 9.51/7.04 tff(29071,plain,
% 9.51/7.04 ((~(v150(constB8) <=> (v153(constB8) | v155(constB8)))) | (~v150(constB8)) | (v153(constB8) | v155(constB8))),
% 9.51/7.04 inference(tautology,[status(thm)],[])).
% 9.51/7.04 tff(29072,plain,
% 9.51/7.04 (~v150(constB8)),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[29071, 29070, 28758])).
% 9.51/7.04 tff(29073,plain,
% 9.51/7.04 ((~(v152(constB9) <=> v150(constB8))) | (~v152(constB9)) | v150(constB8)),
% 9.51/7.04 inference(tautology,[status(thm)],[])).
% 9.51/7.04 tff(29074,plain,
% 9.51/7.04 (~v152(constB9)),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[29073, 29072, 28756])).
% 9.51/7.04 tff(29075,plain,
% 9.51/7.04 ((~(v130(constB9) <=> v152(constB9))) | (~v130(constB9)) | v152(constB9)),
% 9.51/7.04 inference(tautology,[status(thm)],[])).
% 9.51/7.04 tff(29076,plain,
% 9.51/7.04 (~v130(constB9)),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[29075, 29074, 28752])).
% 9.51/7.04 tff(29077,plain,
% 9.51/7.04 (((~v130(constB9)) | (~v154(constB9))) | v130(constB9)),
% 9.51/7.04 inference(tautology,[status(thm)],[])).
% 9.51/7.04 tff(29078,plain,
% 9.51/7.04 ((~v130(constB9)) | (~v154(constB9))),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[29077, 29076])).
% 9.51/7.04 tff(29079,plain,
% 9.51/7.04 ((~(v164(constB9) <=> (~((~v130(constB9)) | (~v154(constB9)))))) | (~v164(constB9)) | (~((~v130(constB9)) | (~v154(constB9))))),
% 9.51/7.04 inference(tautology,[status(thm)],[])).
% 9.51/7.04 tff(29080,plain,
% 9.51/7.04 (~v164(constB9)),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[29079, 29078, 28750])).
% 9.51/7.04 tff(29081,plain,
% 9.51/7.04 ((~(v163(constB9) | v164(constB9))) | v163(constB9) | v164(constB9)),
% 9.51/7.04 inference(tautology,[status(thm)],[])).
% 9.51/7.04 tff(29082,plain,
% 9.51/7.04 (~(v163(constB9) | v164(constB9))),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[29081, 29080, 28743])).
% 9.51/7.04 tff(29083,plain,
% 9.51/7.04 ((~(v160(constB9) <=> (v163(constB9) | v164(constB9)))) | (~v160(constB9)) | (v163(constB9) | v164(constB9))),
% 9.51/7.04 inference(tautology,[status(thm)],[])).
% 9.51/7.04 tff(29084,plain,
% 9.51/7.04 (~v160(constB9)),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[29083, 29082, 28670])).
% 9.51/7.04 tff(29085,plain,
% 9.51/7.04 ((~(v162(constB10) <=> v160(constB9))) | (~v162(constB10)) | v160(constB9)),
% 9.51/7.04 inference(tautology,[status(thm)],[])).
% 9.51/7.04 tff(29086,plain,
% 9.51/7.04 (~v162(constB10)),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[29085, 29084, 28668])).
% 9.51/7.04 tff(29087,plain,
% 9.51/7.04 ((~(v128(constB10) <=> v162(constB10))) | (~v128(constB10)) | v162(constB10)),
% 9.51/7.04 inference(tautology,[status(thm)],[])).
% 9.51/7.04 tff(29088,plain,
% 9.51/7.04 (~v128(constB10)),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[29087, 29086, 28664])).
% 9.51/7.04 tff(29089,plain,
% 9.51/7.04 (((~v128(constB10)) | (~v139(constB10))) | v128(constB10)),
% 9.51/7.04 inference(tautology,[status(thm)],[])).
% 9.51/7.04 tff(29090,plain,
% 9.51/7.04 ((~v128(constB10)) | (~v139(constB10))),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[29089, 29088])).
% 9.51/7.04 tff(29091,plain,
% 9.51/7.04 ((~(v163(constB10) <=> (~((~v128(constB10)) | (~v139(constB10)))))) | (~v163(constB10)) | (~((~v128(constB10)) | (~v139(constB10))))),
% 9.51/7.04 inference(tautology,[status(thm)],[])).
% 9.51/7.04 tff(29092,plain,
% 9.51/7.04 (~v163(constB10)),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[29091, 29090, 28662])).
% 9.51/7.04 tff(29093,plain,
% 9.51/7.04 ((~(v163(constB10) | v164(constB10))) | v163(constB10) | v164(constB10)),
% 9.51/7.04 inference(tautology,[status(thm)],[])).
% 9.51/7.04 tff(29094,plain,
% 9.51/7.04 (~(v163(constB10) | v164(constB10))),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[29093, 29092, 28655])).
% 9.51/7.04 tff(29095,plain,
% 9.51/7.04 ((~(v160(constB10) <=> (v163(constB10) | v164(constB10)))) | (~v160(constB10)) | (v163(constB10) | v164(constB10))),
% 9.51/7.04 inference(tautology,[status(thm)],[])).
% 9.51/7.04 tff(29096,plain,
% 9.51/7.04 (~v160(constB10)),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[29095, 29094, 28620])).
% 9.51/7.04 tff(29097,plain,
% 9.51/7.04 ((~(v162(constB11) <=> v160(constB10))) | (~v162(constB11)) | v160(constB10)),
% 9.51/7.04 inference(tautology,[status(thm)],[])).
% 9.51/7.04 tff(29098,plain,
% 9.51/7.04 (~v162(constB11)),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[29097, 29096, 28618])).
% 9.51/7.04 tff(29099,plain,
% 9.51/7.04 ($false),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[29098, 28614])).
% 9.51/7.04 tff(29100,plain,(~(constB11 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.51/7.04 tff(29101,assumption,(constB47 = VarCurr!0), introduced(assumption)).
% 9.51/7.04 tff(29102,plain,
% 9.51/7.04 (v162(constB47) <=> v162(VarCurr!0)),
% 9.51/7.04 inference(monotonicity,[status(thm)],[29101])).
% 9.51/7.04 tff(29103,plain,
% 9.51/7.04 (v162(VarCurr!0) <=> v162(constB47)),
% 9.51/7.04 inference(symmetry,[status(thm)],[29102])).
% 9.51/7.04 tff(29104,plain,
% 9.51/7.04 (v162(constB47)),
% 9.51/7.04 inference(modus_ponens,[status(thm)],[59, 29103])).
% 9.51/7.04 tff(29105,plain,
% 9.51/7.04 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB46, constB47)) | (v162(constB47) <=> v160(constB46)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB46, constB47)) | (v162(constB47) <=> v160(constB46)))),
% 9.51/7.04 inference(rewrite,[status(thm)],[])).
% 9.51/7.04 tff(29106,plain,
% 9.51/7.04 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB46, constB47)) | (v162(constB47) <=> v160(constB46)))),
% 9.51/7.04 inference(quant_inst,[status(thm)],[])).
% 9.51/7.04 tff(29107,plain,
% 9.51/7.04 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB46, constB47)) | (v162(constB47) <=> v160(constB46))),
% 9.51/7.04 inference(modus_ponens,[status(thm)],[29106, 29105])).
% 9.51/7.04 tff(29108,plain,
% 9.51/7.04 (v162(constB47) <=> v160(constB46)),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[29107, 7627, 70])).
% 9.51/7.04 tff(29109,plain,
% 9.51/7.04 ((~![VarCurr: $i] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB46) <=> (v163(constB46) | v164(constB46)))),
% 9.51/7.04 inference(quant_inst,[status(thm)],[])).
% 9.51/7.04 tff(29110,plain,
% 9.51/7.04 (v160(constB46) <=> (v163(constB46) | v164(constB46))),
% 9.51/7.04 inference(unit_resolution,[status(thm)],[29109, 84])).
% 9.51/7.04 tff(29111,plain,
% 9.51/7.04 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB46) <=> (~((~v130(constB46)) | (~v154(constB46)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB46) <=> (~((~v130(constB46)) | (~v154(constB46))))))),
% 9.51/7.05 inference(rewrite,[status(thm)],[])).
% 9.51/7.05 tff(29112,plain,
% 9.51/7.05 ((v164(constB46) <=> (~((~v154(constB46)) | (~v130(constB46))))) <=> (v164(constB46) <=> (~((~v130(constB46)) | (~v154(constB46)))))),
% 9.51/7.05 inference(rewrite,[status(thm)],[])).
% 9.51/7.05 tff(29113,plain,
% 9.51/7.05 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB46) <=> (~((~v154(constB46)) | (~v130(constB46)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB46) <=> (~((~v130(constB46)) | (~v154(constB46))))))),
% 9.51/7.05 inference(monotonicity,[status(thm)],[29112])).
% 9.51/7.05 tff(29114,plain,
% 9.51/7.05 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB46) <=> (~((~v154(constB46)) | (~v130(constB46)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB46) <=> (~((~v130(constB46)) | (~v154(constB46))))))),
% 9.51/7.05 inference(transitivity,[status(thm)],[29113, 29111])).
% 9.51/7.05 tff(29115,plain,
% 9.51/7.05 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB46) <=> (~((~v154(constB46)) | (~v130(constB46)))))),
% 9.51/7.05 inference(quant_inst,[status(thm)],[])).
% 9.51/7.05 tff(29116,plain,
% 9.51/7.05 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB46) <=> (~((~v130(constB46)) | (~v154(constB46)))))),
% 9.51/7.05 inference(modus_ponens,[status(thm)],[29115, 29114])).
% 9.51/7.05 tff(29117,plain,
% 9.51/7.05 (v164(constB46) <=> (~((~v130(constB46)) | (~v154(constB46))))),
% 9.51/7.05 inference(unit_resolution,[status(thm)],[29116, 96])).
% 9.51/7.05 tff(29118,plain,
% 9.51/7.05 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB46) <=> (~((~v141(constB46)) | (~v143(constB46)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB46) <=> (~((~v141(constB46)) | (~v143(constB46))))))),
% 9.51/7.05 inference(rewrite,[status(thm)],[])).
% 9.51/7.05 tff(29119,plain,
% 9.51/7.05 ((v154(constB46) <=> (~((~v143(constB46)) | (~v141(constB46))))) <=> (v154(constB46) <=> (~((~v141(constB46)) | (~v143(constB46)))))),
% 9.51/7.05 inference(rewrite,[status(thm)],[])).
% 9.51/7.05 tff(29120,plain,
% 9.51/7.05 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB46) <=> (~((~v143(constB46)) | (~v141(constB46)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB46) <=> (~((~v141(constB46)) | (~v143(constB46))))))),
% 9.51/7.05 inference(monotonicity,[status(thm)],[29119])).
% 9.51/7.05 tff(29121,plain,
% 9.51/7.05 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB46) <=> (~((~v143(constB46)) | (~v141(constB46)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB46) <=> (~((~v141(constB46)) | (~v143(constB46))))))),
% 9.51/7.05 inference(transitivity,[status(thm)],[29120, 29118])).
% 9.51/7.05 tff(29122,plain,
% 9.51/7.05 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB46) <=> (~((~v143(constB46)) | (~v141(constB46)))))),
% 9.51/7.05 inference(quant_inst,[status(thm)],[])).
% 9.51/7.05 tff(29123,plain,
% 9.51/7.05 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB46) <=> (~((~v141(constB46)) | (~v143(constB46)))))),
% 9.51/7.05 inference(modus_ponens,[status(thm)],[29122, 29121])).
% 9.51/7.05 tff(29124,plain,
% 9.51/7.05 (v154(constB46) <=> (~((~v141(constB46)) | (~v143(constB46))))),
% 9.51/7.05 inference(unit_resolution,[status(thm)],[29123, 113])).
% 9.51/7.05 tff(29125,plain,
% 9.51/7.05 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB46) <=> (~((~v39(constB46)) | (~v9(constB46)))))),
% 9.51/7.05 inference(quant_inst,[status(thm)],[])).
% 9.51/7.05 tff(29126,plain,
% 9.51/7.05 (v141(constB46) <=> (~((~v39(constB46)) | (~v9(constB46))))),
% 9.51/7.05 inference(unit_resolution,[status(thm)],[29125, 130])).
% 9.51/7.05 tff(29127,plain,
% 9.51/7.05 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB46)) <=> v1(constB46))),
% 9.51/7.05 inference(quant_inst,[status(thm)],[])).
% 9.51/7.05 tff(29128,plain,
% 9.51/7.05 ((~v39(constB46)) <=> v1(constB46)),
% 9.51/7.05 inference(unit_resolution,[status(thm)],[29127, 139])).
% 9.51/7.05 tff(29129,plain,
% 9.51/7.05 ((~((~v39(constB46)) <=> v1(constB46))) | (~v39(constB46)) | (~v1(constB46))),
% 9.51/7.05 inference(tautology,[status(thm)],[])).
% 9.51/7.05 tff(29130,plain,
% 9.51/7.05 ((~((~v39(constB46)) <=> v1(constB46))) | (~v39(constB46))),
% 9.51/7.05 inference(unit_resolution,[status(thm)],[29129, 7689])).
% 9.51/7.05 tff(29131,plain,
% 9.51/7.05 (~v39(constB46)),
% 9.51/7.05 inference(unit_resolution,[status(thm)],[29130, 29128])).
% 9.51/7.05 tff(29132,plain,
% 9.51/7.05 (((~v39(constB46)) | (~v9(constB46))) | v39(constB46)),
% 9.51/7.05 inference(tautology,[status(thm)],[])).
% 9.51/7.05 tff(29133,plain,
% 9.51/7.05 ((~v39(constB46)) | (~v9(constB46))),
% 9.51/7.05 inference(unit_resolution,[status(thm)],[29132, 29131])).
% 9.51/7.05 tff(29134,plain,
% 9.51/7.05 ((~(v141(constB46) <=> (~((~v39(constB46)) | (~v9(constB46)))))) | (~v141(constB46)) | (~((~v39(constB46)) | (~v9(constB46))))),
% 9.51/7.05 inference(tautology,[status(thm)],[])).
% 9.51/7.05 tff(29135,plain,
% 9.51/7.05 ((~(v141(constB46) <=> (~((~v39(constB46)) | (~v9(constB46)))))) | (~v141(constB46))),
% 9.51/7.05 inference(unit_resolution,[status(thm)],[29134, 29133])).
% 9.51/7.05 tff(29136,plain,
% 9.51/7.05 (~v141(constB46)),
% 9.51/7.05 inference(unit_resolution,[status(thm)],[29135, 29126])).
% 9.51/7.05 tff(29137,plain,
% 9.51/7.05 (((~v141(constB46)) | (~v143(constB46))) | v141(constB46)),
% 9.51/7.05 inference(tautology,[status(thm)],[])).
% 9.51/7.05 tff(29138,plain,
% 9.51/7.05 ((~v141(constB46)) | (~v143(constB46))),
% 9.51/7.05 inference(unit_resolution,[status(thm)],[29137, 29136])).
% 9.51/7.05 tff(29139,plain,
% 9.51/7.05 ((~(v154(constB46) <=> (~((~v141(constB46)) | (~v143(constB46)))))) | (~v154(constB46)) | (~((~v141(constB46)) | (~v143(constB46))))),
% 9.51/7.05 inference(tautology,[status(thm)],[])).
% 9.51/7.05 tff(29140,plain,
% 9.51/7.05 ((~(v154(constB46) <=> (~((~v141(constB46)) | (~v143(constB46)))))) | (~v154(constB46))),
% 9.51/7.05 inference(unit_resolution,[status(thm)],[29139, 29138])).
% 9.51/7.05 tff(29141,plain,
% 9.51/7.05 (~v154(constB46)),
% 9.51/7.05 inference(unit_resolution,[status(thm)],[29140, 29124])).
% 9.51/7.05 tff(29142,plain,
% 9.51/7.05 (((~v130(constB46)) | (~v154(constB46))) | v154(constB46)),
% 9.51/7.05 inference(tautology,[status(thm)],[])).
% 9.51/7.05 tff(29143,plain,
% 9.51/7.05 ((~v130(constB46)) | (~v154(constB46))),
% 9.51/7.05 inference(unit_resolution,[status(thm)],[29142, 29141])).
% 9.51/7.05 tff(29144,plain,
% 9.51/7.05 ((~(v164(constB46) <=> (~((~v130(constB46)) | (~v154(constB46)))))) | (~v164(constB46)) | (~((~v130(constB46)) | (~v154(constB46))))),
% 9.51/7.05 inference(tautology,[status(thm)],[])).
% 9.51/7.05 tff(29145,plain,
% 9.51/7.05 (~v164(constB46)),
% 9.51/7.05 inference(unit_resolution,[status(thm)],[29144, 29143, 29117])).
% 9.51/7.05 tff(29146,plain,
% 9.51/7.05 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB46) <=> (~((~v128(constB46)) | (~v139(constB46)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB46) <=> (~((~v128(constB46)) | (~v139(constB46))))))),
% 9.51/7.05 inference(rewrite,[status(thm)],[])).
% 9.51/7.05 tff(29147,plain,
% 9.51/7.05 ((v163(constB46) <=> (~((~v139(constB46)) | (~v128(constB46))))) <=> (v163(constB46) <=> (~((~v128(constB46)) | (~v139(constB46)))))),
% 9.51/7.05 inference(rewrite,[status(thm)],[])).
% 9.51/7.05 tff(29148,plain,
% 9.51/7.05 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB46) <=> (~((~v139(constB46)) | (~v128(constB46)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB46) <=> (~((~v128(constB46)) | (~v139(constB46))))))),
% 9.51/7.05 inference(monotonicity,[status(thm)],[29147])).
% 9.51/7.05 tff(29149,plain,
% 9.51/7.05 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB46) <=> (~((~v139(constB46)) | (~v128(constB46)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB46) <=> (~((~v128(constB46)) | (~v139(constB46))))))),
% 9.51/7.05 inference(transitivity,[status(thm)],[29148, 29146])).
% 9.51/7.05 tff(29150,plain,
% 9.51/7.05 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB46) <=> (~((~v139(constB46)) | (~v128(constB46)))))),
% 9.51/7.05 inference(quant_inst,[status(thm)],[])).
% 9.51/7.05 tff(29151,plain,
% 9.51/7.05 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB46) <=> (~((~v128(constB46)) | (~v139(constB46)))))),
% 9.51/7.05 inference(modus_ponens,[status(thm)],[29150, 29149])).
% 9.51/7.05 tff(29152,plain,
% 9.51/7.05 (v163(constB46) <=> (~((~v128(constB46)) | (~v139(constB46))))),
% 9.51/7.05 inference(unit_resolution,[status(thm)],[29151, 171])).
% 9.51/7.05 tff(29153,plain,
% 9.51/7.05 ((~![VarNext: $i] : (v128(VarNext) <=> v162(VarNext))) | (v128(constB46) <=> v162(constB46))),
% 9.51/7.05 inference(quant_inst,[status(thm)],[])).
% 9.51/7.05 tff(29154,plain,
% 9.51/7.05 (v128(constB46) <=> v162(constB46)),
% 9.51/7.05 inference(unit_resolution,[status(thm)],[29153, 13])).
% 9.51/7.05 tff(29155,plain,
% 9.51/7.05 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB45, constB46)) | (v162(constB46) <=> v160(constB45)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB45, constB46)) | (v162(constB46) <=> v160(constB45)))),
% 9.51/7.05 inference(rewrite,[status(thm)],[])).
% 9.51/7.05 tff(29156,plain,
% 9.51/7.05 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB45, constB46)) | (v162(constB46) <=> v160(constB45)))),
% 9.51/7.05 inference(quant_inst,[status(thm)],[])).
% 9.51/7.05 tff(29157,plain,
% 9.51/7.05 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB45, constB46)) | (v162(constB46) <=> v160(constB45))),
% 9.51/7.05 inference(modus_ponens,[status(thm)],[29156, 29155])).
% 9.51/7.05 tff(29158,plain,
% 9.51/7.05 (v162(constB46) <=> v160(constB45)),
% 9.51/7.05 inference(unit_resolution,[status(thm)],[29157, 7659, 70])).
% 9.51/7.05 tff(29159,plain,
% 9.51/7.05 ((~![VarCurr: $i] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB45) <=> (v163(constB45) | v164(constB45)))),
% 9.51/7.05 inference(quant_inst,[status(thm)],[])).
% 9.51/7.05 tff(29160,plain,
% 9.51/7.05 (v160(constB45) <=> (v163(constB45) | v164(constB45))),
% 9.51/7.05 inference(unit_resolution,[status(thm)],[29159, 84])).
% 9.51/7.05 tff(29161,plain,
% 9.51/7.05 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB45) <=> (~((~v128(constB45)) | (~v139(constB45)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB45) <=> (~((~v128(constB45)) | (~v139(constB45))))))),
% 9.51/7.05 inference(rewrite,[status(thm)],[])).
% 9.51/7.05 tff(29162,plain,
% 9.51/7.05 ((v163(constB45) <=> (~((~v139(constB45)) | (~v128(constB45))))) <=> (v163(constB45) <=> (~((~v128(constB45)) | (~v139(constB45)))))),
% 9.51/7.05 inference(rewrite,[status(thm)],[])).
% 9.51/7.05 tff(29163,plain,
% 9.51/7.05 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB45) <=> (~((~v139(constB45)) | (~v128(constB45)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB45) <=> (~((~v128(constB45)) | (~v139(constB45))))))),
% 9.51/7.05 inference(monotonicity,[status(thm)],[29162])).
% 9.51/7.05 tff(29164,plain,
% 9.51/7.05 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB45) <=> (~((~v139(constB45)) | (~v128(constB45)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB45) <=> (~((~v128(constB45)) | (~v139(constB45))))))),
% 9.51/7.05 inference(transitivity,[status(thm)],[29163, 29161])).
% 9.51/7.05 tff(29165,plain,
% 9.51/7.05 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB45) <=> (~((~v139(constB45)) | (~v128(constB45)))))),
% 9.51/7.05 inference(quant_inst,[status(thm)],[])).
% 9.51/7.05 tff(29166,plain,
% 9.51/7.05 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB45) <=> (~((~v128(constB45)) | (~v139(constB45)))))),
% 9.51/7.05 inference(modus_ponens,[status(thm)],[29165, 29164])).
% 9.51/7.05 tff(29167,plain,
% 9.51/7.05 (v163(constB45) <=> (~((~v128(constB45)) | (~v139(constB45))))),
% 9.51/7.05 inference(unit_resolution,[status(thm)],[29166, 171])).
% 9.51/7.05 tff(29168,plain,
% 9.51/7.05 ((~![VarCurr: $i] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB45)) <=> v140(constB45))),
% 9.51/7.05 inference(quant_inst,[status(thm)],[])).
% 9.51/7.05 tff(29169,plain,
% 9.51/7.05 ((~v139(constB45)) <=> v140(constB45)),
% 9.51/7.05 inference(unit_resolution,[status(thm)],[29168, 203])).
% 9.51/7.05 tff(29170,plain,
% 9.51/7.05 ((~![VarCurr: $i] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB45) <=> (v141(constB45) | v26(constB45)))),
% 9.51/7.05 inference(quant_inst,[status(thm)],[])).
% 9.51/7.05 tff(29171,plain,
% 9.51/7.05 (v140(constB45) <=> (v141(constB45) | v26(constB45))),
% 9.51/7.05 inference(unit_resolution,[status(thm)],[29170, 212])).
% 9.51/7.05 tff(29172,plain,
% 9.51/7.05 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB45) <=> (~((~v39(constB45)) | (~v9(constB45)))))),
% 9.51/7.05 inference(quant_inst,[status(thm)],[])).
% 9.51/7.05 tff(29173,plain,
% 9.51/7.05 (v141(constB45) <=> (~((~v39(constB45)) | (~v9(constB45))))),
% 9.51/7.05 inference(unit_resolution,[status(thm)],[29172, 130])).
% 9.51/7.05 tff(29174,plain,
% 9.51/7.05 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB45, constB46)) | (v13(constB46) <=> v9(constB45)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB45, constB46)) | (v13(constB46) <=> v9(constB45)))),
% 9.51/7.05 inference(rewrite,[status(thm)],[])).
% 9.51/7.05 tff(29175,plain,
% 9.51/7.05 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB45, constB46)) | (v13(constB46) <=> v9(constB45)))),
% 9.51/7.05 inference(quant_inst,[status(thm)],[])).
% 9.51/7.05 tff(29176,plain,
% 9.51/7.05 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB45, constB46)) | (v13(constB46) <=> v9(constB45))),
% 9.51/7.05 inference(modus_ponens,[status(thm)],[29175, 29174])).
% 9.51/7.05 tff(29177,plain,
% 9.51/7.05 (v13(constB46) <=> v9(constB45)),
% 9.51/7.05 inference(unit_resolution,[status(thm)],[29176, 7659, 226])).
% 9.51/7.05 tff(29178,plain,
% 9.51/7.05 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB46) <=> v13(constB46))),
% 9.51/7.05 inference(quant_inst,[status(thm)],[])).
% 9.51/7.05 tff(29179,plain,
% 9.51/7.05 (v6(constB46) <=> v13(constB46)),
% 9.51/7.05 inference(unit_resolution,[status(thm)],[29178, 240])).
% 9.51/7.05 tff(29180,plain,
% 9.51/7.05 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB46)) <=> v6(constB46))),
% 9.51/7.05 inference(quant_inst,[status(thm)],[])).
% 9.51/7.05 tff(29181,plain,
% 9.51/7.05 ((~v21(constB46)) <=> v6(constB46)),
% 9.51/7.05 inference(unit_resolution,[status(thm)],[29180, 249])).
% 9.51/7.05 tff(29182,plain,
% 9.51/7.05 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB46) <=> (v20(constB46) | v21(constB46)))),
% 9.51/7.05 inference(quant_inst,[status(thm)],[])).
% 9.51/7.05 tff(29183,plain,
% 9.51/7.05 (v19(constB46) <=> (v20(constB46) | v21(constB46))),
% 9.51/7.05 inference(unit_resolution,[status(thm)],[29182, 258])).
% 9.51/7.05 tff(29184,plain,
% 9.51/7.05 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB46) <=> (~((~v19(constB46)) | (~v22(constB46)))))),
% 9.51/7.05 inference(quant_inst,[status(thm)],[])).
% 9.51/7.05 tff(29185,plain,
% 9.51/7.05 (v18(constB46) <=> (~((~v19(constB46)) | (~v22(constB46))))),
% 9.51/7.05 inference(unit_resolution,[status(thm)],[29184, 270])).
% 9.51/7.05 tff(29186,plain,
% 9.51/7.05 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB46)) <=> v18(constB46))),
% 9.51/7.05 inference(quant_inst,[status(thm)],[])).
% 9.51/7.05 tff(29187,plain,
% 9.51/7.05 ((~v4(constB46)) <=> v18(constB46)),
% 9.51/7.05 inference(unit_resolution,[status(thm)],[29186, 279])).
% 9.51/7.05 tff(29188,plain,
% 9.51/7.05 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB46)),
% 9.51/7.05 inference(quant_inst,[status(thm)],[])).
% 9.51/7.05 tff(29189,plain,
% 9.51/7.05 (v4(constB46)),
% 9.51/7.05 inference(unit_resolution,[status(thm)],[29188, 288])).
% 9.51/7.05 tff(29190,plain,
% 9.51/7.05 ((~((~v4(constB46)) <=> v18(constB46))) | (~v4(constB46)) | (~v18(constB46))),
% 9.51/7.05 inference(tautology,[status(thm)],[])).
% 9.51/7.05 tff(29191,plain,
% 9.51/7.05 (~v18(constB46)),
% 9.51/7.05 inference(unit_resolution,[status(thm)],[29190, 29189, 29187])).
% 9.51/7.05 tff(29192,plain,
% 9.51/7.05 ((~(v18(constB46) <=> (~((~v19(constB46)) | (~v22(constB46)))))) | v18(constB46) | ((~v19(constB46)) | (~v22(constB46)))),
% 9.51/7.05 inference(tautology,[status(thm)],[])).
% 9.51/7.05 tff(29193,plain,
% 9.51/7.05 ((~v19(constB46)) | (~v22(constB46))),
% 9.51/7.05 inference(unit_resolution,[status(thm)],[29192, 29191, 29185])).
% 9.51/7.05 tff(29194,plain,
% 9.51/7.05 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB46) <=> (v1(constB46) | v6(constB46)))),
% 9.51/7.05 inference(quant_inst,[status(thm)],[])).
% 9.51/7.05 tff(29195,plain,
% 9.51/7.05 (v22(constB46) <=> (v1(constB46) | v6(constB46))),
% 9.51/7.05 inference(unit_resolution,[status(thm)],[29194, 301])).
% 9.51/7.05 tff(29196,plain,
% 9.51/7.05 ((v1(constB46) | v6(constB46)) | (~v1(constB46))),
% 9.51/7.05 inference(tautology,[status(thm)],[])).
% 9.51/7.05 tff(29197,plain,
% 9.51/7.05 (v1(constB46) | v6(constB46)),
% 9.51/7.05 inference(unit_resolution,[status(thm)],[29196, 7689])).
% 9.51/7.05 tff(29198,plain,
% 9.51/7.05 ((~(v22(constB46) <=> (v1(constB46) | v6(constB46)))) | v22(constB46) | (~(v1(constB46) | v6(constB46)))),
% 9.51/7.05 inference(tautology,[status(thm)],[])).
% 9.51/7.05 tff(29199,plain,
% 9.51/7.05 ((~(v22(constB46) <=> (v1(constB46) | v6(constB46)))) | v22(constB46)),
% 9.51/7.05 inference(unit_resolution,[status(thm)],[29198, 29197])).
% 9.51/7.05 tff(29200,plain,
% 9.51/7.05 (v22(constB46)),
% 9.51/7.05 inference(unit_resolution,[status(thm)],[29199, 29195])).
% 9.51/7.05 tff(29201,plain,
% 9.51/7.05 ((~((~v19(constB46)) | (~v22(constB46)))) | (~v19(constB46)) | (~v22(constB46))),
% 9.51/7.05 inference(tautology,[status(thm)],[])).
% 9.51/7.05 tff(29202,plain,
% 9.51/7.05 ((~((~v19(constB46)) | (~v22(constB46)))) | (~v19(constB46))),
% 9.51/7.05 inference(unit_resolution,[status(thm)],[29201, 29200])).
% 9.51/7.05 tff(29203,plain,
% 9.51/7.05 (~v19(constB46)),
% 9.51/7.05 inference(unit_resolution,[status(thm)],[29202, 29193])).
% 9.51/7.05 tff(29204,plain,
% 9.51/7.05 ((~(v19(constB46) <=> (v20(constB46) | v21(constB46)))) | v19(constB46) | (~(v20(constB46) | v21(constB46)))),
% 9.51/7.05 inference(tautology,[status(thm)],[])).
% 9.51/7.05 tff(29205,plain,
% 9.51/7.05 (~(v20(constB46) | v21(constB46))),
% 9.51/7.05 inference(unit_resolution,[status(thm)],[29204, 29203, 29183])).
% 9.51/7.05 tff(29206,plain,
% 9.51/7.05 ((v20(constB46) | v21(constB46)) | (~v21(constB46))),
% 9.51/7.05 inference(tautology,[status(thm)],[])).
% 9.51/7.05 tff(29207,plain,
% 9.51/7.05 (~v21(constB46)),
% 9.51/7.05 inference(unit_resolution,[status(thm)],[29206, 29205])).
% 9.51/7.05 tff(29208,plain,
% 9.51/7.05 ((~((~v21(constB46)) <=> v6(constB46))) | v21(constB46) | v6(constB46)),
% 9.51/7.05 inference(tautology,[status(thm)],[])).
% 9.51/7.05 tff(29209,plain,
% 9.51/7.05 (v6(constB46)),
% 9.51/7.05 inference(unit_resolution,[status(thm)],[29208, 29207, 29181])).
% 9.51/7.05 tff(29210,plain,
% 9.51/7.05 ((~(v6(constB46) <=> v13(constB46))) | (~v6(constB46)) | v13(constB46)),
% 9.51/7.05 inference(tautology,[status(thm)],[])).
% 9.51/7.05 tff(29211,plain,
% 9.51/7.05 (v13(constB46)),
% 9.51/7.05 inference(unit_resolution,[status(thm)],[29210, 29209, 29179])).
% 9.51/7.05 tff(29212,plain,
% 9.51/7.05 ((~(v13(constB46) <=> v9(constB45))) | (~v13(constB46)) | v9(constB45)),
% 9.51/7.05 inference(tautology,[status(thm)],[])).
% 9.51/7.05 tff(29213,plain,
% 9.51/7.05 (v9(constB45)),
% 9.51/7.05 inference(unit_resolution,[status(thm)],[29212, 29211, 29177])).
% 9.51/7.05 tff(29214,plain,
% 9.51/7.05 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB45)) <=> v1(constB45))),
% 9.51/7.05 inference(quant_inst,[status(thm)],[])).
% 9.51/7.05 tff(29215,plain,
% 9.51/7.05 ((~v39(constB45)) <=> v1(constB45)),
% 9.51/7.05 inference(unit_resolution,[status(thm)],[29214, 139])).
% 9.51/7.05 tff(29216,plain,
% 9.51/7.05 ((~((~v39(constB45)) <=> v1(constB45))) | v39(constB45) | v1(constB45)),
% 9.51/7.05 inference(tautology,[status(thm)],[])).
% 9.51/7.05 tff(29217,plain,
% 9.51/7.05 ((~((~v39(constB45)) <=> v1(constB45))) | v39(constB45)),
% 9.51/7.05 inference(unit_resolution,[status(thm)],[29216, 7681])).
% 9.51/7.05 tff(29218,plain,
% 9.51/7.05 (v39(constB45)),
% 9.51/7.05 inference(unit_resolution,[status(thm)],[29217, 29215])).
% 9.51/7.05 tff(29219,plain,
% 9.51/7.05 ((~((~v39(constB45)) | (~v9(constB45)))) | (~v39(constB45)) | (~v9(constB45))),
% 9.51/7.05 inference(tautology,[status(thm)],[])).
% 9.51/7.05 tff(29220,plain,
% 9.51/7.05 ((~((~v39(constB45)) | (~v9(constB45)))) | (~v9(constB45))),
% 9.51/7.05 inference(unit_resolution,[status(thm)],[29219, 29218])).
% 9.51/7.05 tff(29221,plain,
% 9.51/7.05 (~((~v39(constB45)) | (~v9(constB45)))),
% 9.51/7.05 inference(unit_resolution,[status(thm)],[29220, 29213])).
% 9.51/7.05 tff(29222,plain,
% 9.51/7.05 ((~(v141(constB45) <=> (~((~v39(constB45)) | (~v9(constB45)))))) | v141(constB45) | ((~v39(constB45)) | (~v9(constB45)))),
% 9.51/7.05 inference(tautology,[status(thm)],[])).
% 9.51/7.05 tff(29223,plain,
% 9.51/7.05 (v141(constB45)),
% 9.51/7.05 inference(unit_resolution,[status(thm)],[29222, 29221, 29173])).
% 9.51/7.05 tff(29224,plain,
% 9.51/7.05 ((v141(constB45) | v26(constB45)) | (~v141(constB45))),
% 9.51/7.05 inference(tautology,[status(thm)],[])).
% 9.51/7.05 tff(29225,plain,
% 9.51/7.05 (v141(constB45) | v26(constB45)),
% 9.51/7.05 inference(unit_resolution,[status(thm)],[29224, 29223])).
% 9.51/7.05 tff(29226,plain,
% 9.51/7.05 ((~(v140(constB45) <=> (v141(constB45) | v26(constB45)))) | v140(constB45) | (~(v141(constB45) | v26(constB45)))),
% 9.51/7.05 inference(tautology,[status(thm)],[])).
% 9.51/7.05 tff(29227,plain,
% 9.51/7.05 (v140(constB45)),
% 9.51/7.05 inference(unit_resolution,[status(thm)],[29226, 29225, 29171])).
% 9.51/7.05 tff(29228,plain,
% 9.51/7.05 ((~((~v139(constB45)) <=> v140(constB45))) | (~v139(constB45)) | (~v140(constB45))),
% 9.51/7.05 inference(tautology,[status(thm)],[])).
% 9.51/7.05 tff(29229,plain,
% 9.51/7.05 (~v139(constB45)),
% 9.51/7.05 inference(unit_resolution,[status(thm)],[29228, 29227, 29169])).
% 9.51/7.05 tff(29230,plain,
% 9.51/7.05 (((~v128(constB45)) | (~v139(constB45))) | v139(constB45)),
% 9.51/7.05 inference(tautology,[status(thm)],[])).
% 9.51/7.05 tff(29231,plain,
% 9.51/7.05 ((~v128(constB45)) | (~v139(constB45))),
% 9.51/7.05 inference(unit_resolution,[status(thm)],[29230, 29229])).
% 9.51/7.05 tff(29232,plain,
% 9.51/7.05 ((~(v163(constB45) <=> (~((~v128(constB45)) | (~v139(constB45)))))) | (~v163(constB45)) | (~((~v128(constB45)) | (~v139(constB45))))),
% 9.51/7.05 inference(tautology,[status(thm)],[])).
% 9.51/7.05 tff(29233,plain,
% 9.51/7.05 (~v163(constB45)),
% 9.51/7.05 inference(unit_resolution,[status(thm)],[29232, 29231, 29167])).
% 9.51/7.05 tff(29234,plain,
% 9.51/7.05 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB45) <=> (~((~v130(constB45)) | (~v154(constB45)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB45) <=> (~((~v130(constB45)) | (~v154(constB45))))))),
% 9.51/7.05 inference(rewrite,[status(thm)],[])).
% 9.51/7.05 tff(29235,plain,
% 9.51/7.05 ((v164(constB45) <=> (~((~v154(constB45)) | (~v130(constB45))))) <=> (v164(constB45) <=> (~((~v130(constB45)) | (~v154(constB45)))))),
% 9.51/7.05 inference(rewrite,[status(thm)],[])).
% 9.51/7.05 tff(29236,plain,
% 9.51/7.05 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB45) <=> (~((~v154(constB45)) | (~v130(constB45)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB45) <=> (~((~v130(constB45)) | (~v154(constB45))))))),
% 9.51/7.05 inference(monotonicity,[status(thm)],[29235])).
% 9.51/7.05 tff(29237,plain,
% 9.51/7.05 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB45) <=> (~((~v154(constB45)) | (~v130(constB45)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB45) <=> (~((~v130(constB45)) | (~v154(constB45))))))),
% 9.51/7.05 inference(transitivity,[status(thm)],[29236, 29234])).
% 9.51/7.05 tff(29238,plain,
% 9.51/7.05 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB45) <=> (~((~v154(constB45)) | (~v130(constB45)))))),
% 9.51/7.05 inference(quant_inst,[status(thm)],[])).
% 9.51/7.05 tff(29239,plain,
% 9.51/7.05 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB45) <=> (~((~v130(constB45)) | (~v154(constB45)))))),
% 9.51/7.05 inference(modus_ponens,[status(thm)],[29238, 29237])).
% 9.51/7.05 tff(29240,plain,
% 9.51/7.05 (v164(constB45) <=> (~((~v130(constB45)) | (~v154(constB45))))),
% 9.51/7.05 inference(unit_resolution,[status(thm)],[29239, 96])).
% 9.51/7.05 tff(29241,plain,
% 9.51/7.05 ((~![VarNext: $i] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB45) <=> v152(constB45))),
% 9.51/7.05 inference(quant_inst,[status(thm)],[])).
% 9.51/7.05 tff(29242,plain,
% 9.51/7.05 (v130(constB45) <=> v152(constB45)),
% 9.51/7.05 inference(unit_resolution,[status(thm)],[29241, 361])).
% 9.51/7.05 tff(29243,plain,
% 9.51/7.05 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB44, constB45)) | (v152(constB45) <=> v150(constB44)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB44, constB45)) | (v152(constB45) <=> v150(constB44)))),
% 9.51/7.05 inference(rewrite,[status(thm)],[])).
% 9.51/7.05 tff(29244,plain,
% 9.51/7.05 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB44, constB45)) | (v152(constB45) <=> v150(constB44)))),
% 9.51/7.05 inference(quant_inst,[status(thm)],[])).
% 9.51/7.05 tff(29245,plain,
% 9.51/7.05 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB44, constB45)) | (v152(constB45) <=> v150(constB44))),
% 9.51/7.05 inference(modus_ponens,[status(thm)],[29244, 29243])).
% 9.51/7.05 tff(29246,plain,
% 9.51/7.05 (v152(constB45) <=> v150(constB44)),
% 9.51/7.05 inference(unit_resolution,[status(thm)],[29245, 7718, 373])).
% 9.51/7.05 tff(29247,plain,
% 9.51/7.05 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v153(VarCurr) | v155(VarCurr)))) | (v150(constB44) <=> (v153(constB44) | v155(constB44)))),
% 9.51/7.05 inference(quant_inst,[status(thm)],[])).
% 9.51/7.05 tff(29248,plain,
% 9.51/7.05 (v150(constB44) <=> (v153(constB44) | v155(constB44))),
% 9.51/7.05 inference(unit_resolution,[status(thm)],[29247, 387])).
% 9.51/7.05 tff(29249,plain,
% 9.51/7.05 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB44) <=> (~((~v132(constB44)) | (~v154(constB44)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB44) <=> (~((~v132(constB44)) | (~v154(constB44))))))),
% 9.51/7.05 inference(rewrite,[status(thm)],[])).
% 9.51/7.05 tff(29250,plain,
% 9.51/7.05 ((v153(constB44) <=> (~((~v154(constB44)) | (~v132(constB44))))) <=> (v153(constB44) <=> (~((~v132(constB44)) | (~v154(constB44)))))),
% 9.51/7.05 inference(rewrite,[status(thm)],[])).
% 9.51/7.05 tff(29251,plain,
% 9.51/7.05 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB44) <=> (~((~v154(constB44)) | (~v132(constB44)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB44) <=> (~((~v132(constB44)) | (~v154(constB44))))))),
% 9.51/7.05 inference(monotonicity,[status(thm)],[29250])).
% 9.51/7.05 tff(29252,plain,
% 9.51/7.05 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB44) <=> (~((~v154(constB44)) | (~v132(constB44)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB44) <=> (~((~v132(constB44)) | (~v154(constB44))))))),
% 9.51/7.05 inference(transitivity,[status(thm)],[29251, 29249])).
% 9.51/7.05 tff(29253,plain,
% 9.51/7.05 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB44) <=> (~((~v154(constB44)) | (~v132(constB44)))))),
% 9.51/7.05 inference(quant_inst,[status(thm)],[])).
% 9.51/7.05 tff(29254,plain,
% 9.51/7.05 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB44) <=> (~((~v132(constB44)) | (~v154(constB44)))))),
% 9.51/7.05 inference(modus_ponens,[status(thm)],[29253, 29252])).
% 9.51/7.05 tff(29255,plain,
% 9.51/7.05 (v153(constB44) <=> (~((~v132(constB44)) | (~v154(constB44))))),
% 9.51/7.05 inference(unit_resolution,[status(thm)],[29254, 399])).
% 9.51/7.05 tff(29256,plain,
% 9.51/7.05 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB44) <=> (~((~v141(constB44)) | (~v143(constB44)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB44) <=> (~((~v141(constB44)) | (~v143(constB44))))))),
% 9.51/7.05 inference(rewrite,[status(thm)],[])).
% 9.51/7.05 tff(29257,plain,
% 9.51/7.05 ((v154(constB44) <=> (~((~v143(constB44)) | (~v141(constB44))))) <=> (v154(constB44) <=> (~((~v141(constB44)) | (~v143(constB44)))))),
% 9.51/7.05 inference(rewrite,[status(thm)],[])).
% 9.51/7.05 tff(29258,plain,
% 9.51/7.05 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB44) <=> (~((~v143(constB44)) | (~v141(constB44)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB44) <=> (~((~v141(constB44)) | (~v143(constB44))))))),
% 9.51/7.05 inference(monotonicity,[status(thm)],[29257])).
% 9.51/7.05 tff(29259,plain,
% 9.51/7.05 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB44) <=> (~((~v143(constB44)) | (~v141(constB44)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB44) <=> (~((~v141(constB44)) | (~v143(constB44))))))),
% 9.51/7.05 inference(transitivity,[status(thm)],[29258, 29256])).
% 9.51/7.05 tff(29260,plain,
% 9.51/7.05 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB44) <=> (~((~v143(constB44)) | (~v141(constB44)))))),
% 9.51/7.05 inference(quant_inst,[status(thm)],[])).
% 9.51/7.05 tff(29261,plain,
% 9.51/7.05 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB44) <=> (~((~v141(constB44)) | (~v143(constB44)))))),
% 9.51/7.05 inference(modus_ponens,[status(thm)],[29260, 29259])).
% 9.51/7.05 tff(29262,plain,
% 9.51/7.05 (v154(constB44) <=> (~((~v141(constB44)) | (~v143(constB44))))),
% 9.51/7.05 inference(unit_resolution,[status(thm)],[29261, 113])).
% 9.51/7.05 tff(29263,plain,
% 9.51/7.05 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB44) <=> (~((~v39(constB44)) | (~v9(constB44)))))),
% 9.51/7.05 inference(quant_inst,[status(thm)],[])).
% 9.51/7.05 tff(29264,plain,
% 9.51/7.05 (v141(constB44) <=> (~((~v39(constB44)) | (~v9(constB44))))),
% 9.51/7.05 inference(unit_resolution,[status(thm)],[29263, 130])).
% 9.51/7.05 tff(29265,plain,
% 9.51/7.05 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB44)) <=> v1(constB44))),
% 9.51/7.05 inference(quant_inst,[status(thm)],[])).
% 9.51/7.05 tff(29266,plain,
% 9.51/7.05 ((~v39(constB44)) <=> v1(constB44)),
% 9.51/7.05 inference(unit_resolution,[status(thm)],[29265, 139])).
% 9.51/7.05 tff(29267,plain,
% 9.51/7.05 ((~((~v39(constB44)) <=> v1(constB44))) | (~v39(constB44)) | (~v1(constB44))),
% 9.51/7.05 inference(tautology,[status(thm)],[])).
% 9.51/7.05 tff(29268,plain,
% 9.51/7.05 ((~((~v39(constB44)) <=> v1(constB44))) | (~v39(constB44))),
% 9.51/7.05 inference(unit_resolution,[status(thm)],[29267, 7780])).
% 9.51/7.05 tff(29269,plain,
% 9.51/7.05 (~v39(constB44)),
% 9.51/7.05 inference(unit_resolution,[status(thm)],[29268, 29266])).
% 9.51/7.05 tff(29270,plain,
% 9.51/7.05 (((~v39(constB44)) | (~v9(constB44))) | v39(constB44)),
% 9.51/7.05 inference(tautology,[status(thm)],[])).
% 9.51/7.05 tff(29271,plain,
% 9.51/7.05 ((~v39(constB44)) | (~v9(constB44))),
% 9.51/7.05 inference(unit_resolution,[status(thm)],[29270, 29269])).
% 9.51/7.05 tff(29272,plain,
% 9.51/7.05 ((~(v141(constB44) <=> (~((~v39(constB44)) | (~v9(constB44)))))) | (~v141(constB44)) | (~((~v39(constB44)) | (~v9(constB44))))),
% 9.51/7.05 inference(tautology,[status(thm)],[])).
% 9.51/7.05 tff(29273,plain,
% 9.51/7.05 ((~(v141(constB44) <=> (~((~v39(constB44)) | (~v9(constB44)))))) | (~v141(constB44))),
% 9.51/7.05 inference(unit_resolution,[status(thm)],[29272, 29271])).
% 9.51/7.05 tff(29274,plain,
% 9.51/7.05 (~v141(constB44)),
% 9.51/7.05 inference(unit_resolution,[status(thm)],[29273, 29264])).
% 9.51/7.05 tff(29275,plain,
% 9.51/7.05 (((~v141(constB44)) | (~v143(constB44))) | v141(constB44)),
% 9.51/7.05 inference(tautology,[status(thm)],[])).
% 9.51/7.05 tff(29276,plain,
% 9.51/7.05 ((~v141(constB44)) | (~v143(constB44))),
% 9.51/7.05 inference(unit_resolution,[status(thm)],[29275, 29274])).
% 9.51/7.05 tff(29277,plain,
% 9.51/7.05 ((~(v154(constB44) <=> (~((~v141(constB44)) | (~v143(constB44)))))) | (~v154(constB44)) | (~((~v141(constB44)) | (~v143(constB44))))),
% 9.51/7.05 inference(tautology,[status(thm)],[])).
% 9.51/7.05 tff(29278,plain,
% 9.51/7.05 ((~(v154(constB44) <=> (~((~v141(constB44)) | (~v143(constB44)))))) | (~v154(constB44))),
% 9.51/7.05 inference(unit_resolution,[status(thm)],[29277, 29276])).
% 9.51/7.05 tff(29279,plain,
% 9.51/7.05 (~v154(constB44)),
% 9.51/7.05 inference(unit_resolution,[status(thm)],[29278, 29262])).
% 9.51/7.05 tff(29280,plain,
% 9.51/7.05 (((~v132(constB44)) | (~v154(constB44))) | v154(constB44)),
% 9.51/7.05 inference(tautology,[status(thm)],[])).
% 9.51/7.05 tff(29281,plain,
% 9.51/7.05 ((~v132(constB44)) | (~v154(constB44))),
% 9.51/7.05 inference(unit_resolution,[status(thm)],[29280, 29279])).
% 9.51/7.05 tff(29282,plain,
% 9.51/7.05 ((~(v153(constB44) <=> (~((~v132(constB44)) | (~v154(constB44)))))) | (~v153(constB44)) | (~((~v132(constB44)) | (~v154(constB44))))),
% 9.51/7.05 inference(tautology,[status(thm)],[])).
% 9.51/7.05 tff(29283,plain,
% 9.51/7.05 (~v153(constB44)),
% 9.51/7.05 inference(unit_resolution,[status(thm)],[29282, 29281, 29255])).
% 9.51/7.05 tff(29284,plain,
% 9.51/7.05 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB44) <=> (~((~v130(constB44)) | (~v139(constB44)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB44) <=> (~((~v130(constB44)) | (~v139(constB44))))))),
% 9.51/7.05 inference(rewrite,[status(thm)],[])).
% 9.51/7.05 tff(29285,plain,
% 9.51/7.05 ((v155(constB44) <=> (~((~v139(constB44)) | (~v130(constB44))))) <=> (v155(constB44) <=> (~((~v130(constB44)) | (~v139(constB44)))))),
% 9.51/7.05 inference(rewrite,[status(thm)],[])).
% 9.51/7.05 tff(29286,plain,
% 9.51/7.05 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB44) <=> (~((~v139(constB44)) | (~v130(constB44)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB44) <=> (~((~v130(constB44)) | (~v139(constB44))))))),
% 9.51/7.05 inference(monotonicity,[status(thm)],[29285])).
% 9.51/7.05 tff(29287,plain,
% 9.51/7.05 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB44) <=> (~((~v139(constB44)) | (~v130(constB44)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB44) <=> (~((~v130(constB44)) | (~v139(constB44))))))),
% 9.51/7.05 inference(transitivity,[status(thm)],[29286, 29284])).
% 9.51/7.05 tff(29288,plain,
% 9.51/7.05 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB44) <=> (~((~v139(constB44)) | (~v130(constB44)))))),
% 9.51/7.05 inference(quant_inst,[status(thm)],[])).
% 9.51/7.05 tff(29289,plain,
% 9.51/7.05 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB44) <=> (~((~v130(constB44)) | (~v139(constB44)))))),
% 9.51/7.05 inference(modus_ponens,[status(thm)],[29288, 29287])).
% 9.51/7.05 tff(29290,plain,
% 9.51/7.05 (v155(constB44) <=> (~((~v130(constB44)) | (~v139(constB44))))),
% 9.51/7.05 inference(unit_resolution,[status(thm)],[29289, 447])).
% 9.51/7.05 tff(29291,plain,
% 9.51/7.05 ((~![VarNext: $i] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB44) <=> v152(constB44))),
% 9.51/7.05 inference(quant_inst,[status(thm)],[])).
% 9.51/7.05 tff(29292,plain,
% 9.51/7.05 (v130(constB44) <=> v152(constB44)),
% 9.51/7.05 inference(unit_resolution,[status(thm)],[29291, 361])).
% 9.51/7.05 tff(29293,plain,
% 9.51/7.05 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB43, constB44)) | (v152(constB44) <=> v150(constB43)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB43, constB44)) | (v152(constB44) <=> v150(constB43)))),
% 9.51/7.05 inference(rewrite,[status(thm)],[])).
% 9.51/7.05 tff(29294,plain,
% 9.51/7.05 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB43, constB44)) | (v152(constB44) <=> v150(constB43)))),
% 9.51/7.05 inference(quant_inst,[status(thm)],[])).
% 9.51/7.05 tff(29295,plain,
% 9.51/7.05 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB43, constB44)) | (v152(constB44) <=> v150(constB43))),
% 9.51/7.05 inference(modus_ponens,[status(thm)],[29294, 29293])).
% 9.51/7.05 tff(29296,plain,
% 9.51/7.05 (v152(constB44) <=> v150(constB43)),
% 9.51/7.05 inference(unit_resolution,[status(thm)],[29295, 7750, 373])).
% 9.51/7.05 tff(29297,plain,
% 9.51/7.05 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v153(VarCurr) | v155(VarCurr)))) | (v150(constB43) <=> (v153(constB43) | v155(constB43)))),
% 9.51/7.05 inference(quant_inst,[status(thm)],[])).
% 9.51/7.05 tff(29298,plain,
% 9.51/7.05 (v150(constB43) <=> (v153(constB43) | v155(constB43))),
% 9.51/7.05 inference(unit_resolution,[status(thm)],[29297, 387])).
% 9.51/7.05 tff(29299,plain,
% 9.51/7.05 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB43) <=> (~((~v130(constB43)) | (~v139(constB43)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB43) <=> (~((~v130(constB43)) | (~v139(constB43))))))),
% 9.51/7.05 inference(rewrite,[status(thm)],[])).
% 9.51/7.05 tff(29300,plain,
% 9.51/7.05 ((v155(constB43) <=> (~((~v139(constB43)) | (~v130(constB43))))) <=> (v155(constB43) <=> (~((~v130(constB43)) | (~v139(constB43)))))),
% 9.51/7.05 inference(rewrite,[status(thm)],[])).
% 9.51/7.05 tff(29301,plain,
% 9.51/7.05 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB43) <=> (~((~v139(constB43)) | (~v130(constB43)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB43) <=> (~((~v130(constB43)) | (~v139(constB43))))))),
% 9.51/7.05 inference(monotonicity,[status(thm)],[29300])).
% 9.51/7.05 tff(29302,plain,
% 9.51/7.05 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB43) <=> (~((~v139(constB43)) | (~v130(constB43)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB43) <=> (~((~v130(constB43)) | (~v139(constB43))))))),
% 9.51/7.05 inference(transitivity,[status(thm)],[29301, 29299])).
% 9.51/7.05 tff(29303,plain,
% 9.51/7.05 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB43) <=> (~((~v139(constB43)) | (~v130(constB43)))))),
% 9.51/7.05 inference(quant_inst,[status(thm)],[])).
% 9.51/7.05 tff(29304,plain,
% 9.51/7.05 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB43) <=> (~((~v130(constB43)) | (~v139(constB43)))))),
% 9.51/7.05 inference(modus_ponens,[status(thm)],[29303, 29302])).
% 9.51/7.05 tff(29305,plain,
% 9.51/7.05 (v155(constB43) <=> (~((~v130(constB43)) | (~v139(constB43))))),
% 9.51/7.05 inference(unit_resolution,[status(thm)],[29304, 447])).
% 9.51/7.05 tff(29306,plain,
% 9.51/7.05 ((~![VarCurr: $i] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB43)) <=> v140(constB43))),
% 9.51/7.05 inference(quant_inst,[status(thm)],[])).
% 9.51/7.05 tff(29307,plain,
% 9.51/7.05 ((~v139(constB43)) <=> v140(constB43)),
% 9.51/7.05 inference(unit_resolution,[status(thm)],[29306, 203])).
% 9.51/7.05 tff(29308,plain,
% 9.51/7.05 ((~![VarCurr: $i] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB43) <=> (v141(constB43) | v26(constB43)))),
% 9.51/7.05 inference(quant_inst,[status(thm)],[])).
% 9.51/7.05 tff(29309,plain,
% 9.51/7.05 (v140(constB43) <=> (v141(constB43) | v26(constB43))),
% 9.51/7.05 inference(unit_resolution,[status(thm)],[29308, 212])).
% 9.51/7.05 tff(29310,plain,
% 9.51/7.05 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB43) <=> (~((~v39(constB43)) | (~v9(constB43)))))),
% 9.51/7.05 inference(quant_inst,[status(thm)],[])).
% 9.51/7.05 tff(29311,plain,
% 9.51/7.05 (v141(constB43) <=> (~((~v39(constB43)) | (~v9(constB43))))),
% 9.51/7.05 inference(unit_resolution,[status(thm)],[29310, 130])).
% 9.51/7.05 tff(29312,plain,
% 9.51/7.05 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB43, constB44)) | (v13(constB44) <=> v9(constB43)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB43, constB44)) | (v13(constB44) <=> v9(constB43)))),
% 9.51/7.05 inference(rewrite,[status(thm)],[])).
% 9.51/7.05 tff(29313,plain,
% 9.51/7.05 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB43, constB44)) | (v13(constB44) <=> v9(constB43)))),
% 9.51/7.05 inference(quant_inst,[status(thm)],[])).
% 9.51/7.05 tff(29314,plain,
% 9.51/7.05 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB43, constB44)) | (v13(constB44) <=> v9(constB43))),
% 9.51/7.05 inference(modus_ponens,[status(thm)],[29313, 29312])).
% 9.51/7.05 tff(29315,plain,
% 9.51/7.05 (v13(constB44) <=> v9(constB43)),
% 9.51/7.05 inference(unit_resolution,[status(thm)],[29314, 7750, 226])).
% 9.51/7.05 tff(29316,plain,
% 9.51/7.05 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB44) <=> v13(constB44))),
% 9.51/7.05 inference(quant_inst,[status(thm)],[])).
% 9.51/7.05 tff(29317,plain,
% 9.51/7.05 (v6(constB44) <=> v13(constB44)),
% 9.51/7.05 inference(unit_resolution,[status(thm)],[29316, 240])).
% 9.51/7.05 tff(29318,plain,
% 9.51/7.05 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB44)) <=> v6(constB44))),
% 9.51/7.05 inference(quant_inst,[status(thm)],[])).
% 9.51/7.05 tff(29319,plain,
% 9.51/7.05 ((~v21(constB44)) <=> v6(constB44)),
% 9.51/7.05 inference(unit_resolution,[status(thm)],[29318, 249])).
% 9.51/7.05 tff(29320,plain,
% 9.51/7.05 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB44) <=> (v20(constB44) | v21(constB44)))),
% 9.51/7.05 inference(quant_inst,[status(thm)],[])).
% 9.51/7.05 tff(29321,plain,
% 9.51/7.05 (v19(constB44) <=> (v20(constB44) | v21(constB44))),
% 9.51/7.05 inference(unit_resolution,[status(thm)],[29320, 258])).
% 9.51/7.05 tff(29322,plain,
% 9.51/7.05 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB44) <=> (~((~v19(constB44)) | (~v22(constB44)))))),
% 9.51/7.05 inference(quant_inst,[status(thm)],[])).
% 9.51/7.06 tff(29323,plain,
% 9.51/7.06 (v18(constB44) <=> (~((~v19(constB44)) | (~v22(constB44))))),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29322, 270])).
% 9.51/7.06 tff(29324,plain,
% 9.51/7.06 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB44)) <=> v18(constB44))),
% 9.51/7.06 inference(quant_inst,[status(thm)],[])).
% 9.51/7.06 tff(29325,plain,
% 9.51/7.06 ((~v4(constB44)) <=> v18(constB44)),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29324, 279])).
% 9.51/7.06 tff(29326,plain,
% 9.51/7.06 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB44)),
% 9.51/7.06 inference(quant_inst,[status(thm)],[])).
% 9.51/7.06 tff(29327,plain,
% 9.51/7.06 (v4(constB44)),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29326, 288])).
% 9.51/7.06 tff(29328,plain,
% 9.51/7.06 ((~((~v4(constB44)) <=> v18(constB44))) | (~v4(constB44)) | (~v18(constB44))),
% 9.51/7.06 inference(tautology,[status(thm)],[])).
% 9.51/7.06 tff(29329,plain,
% 9.51/7.06 (~v18(constB44)),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29328, 29327, 29325])).
% 9.51/7.06 tff(29330,plain,
% 9.51/7.06 ((~(v18(constB44) <=> (~((~v19(constB44)) | (~v22(constB44)))))) | v18(constB44) | ((~v19(constB44)) | (~v22(constB44)))),
% 9.51/7.06 inference(tautology,[status(thm)],[])).
% 9.51/7.06 tff(29331,plain,
% 9.51/7.06 ((~v19(constB44)) | (~v22(constB44))),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29330, 29329, 29323])).
% 9.51/7.06 tff(29332,plain,
% 9.51/7.06 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB44) <=> (v1(constB44) | v6(constB44)))),
% 9.51/7.06 inference(quant_inst,[status(thm)],[])).
% 9.51/7.06 tff(29333,plain,
% 9.51/7.06 (v22(constB44) <=> (v1(constB44) | v6(constB44))),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29332, 301])).
% 9.51/7.06 tff(29334,plain,
% 9.51/7.06 ((v1(constB44) | v6(constB44)) | (~v1(constB44))),
% 9.51/7.06 inference(tautology,[status(thm)],[])).
% 9.51/7.06 tff(29335,plain,
% 9.51/7.06 (v1(constB44) | v6(constB44)),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29334, 7780])).
% 9.51/7.06 tff(29336,plain,
% 9.51/7.06 ((~(v22(constB44) <=> (v1(constB44) | v6(constB44)))) | v22(constB44) | (~(v1(constB44) | v6(constB44)))),
% 9.51/7.06 inference(tautology,[status(thm)],[])).
% 9.51/7.06 tff(29337,plain,
% 9.51/7.06 ((~(v22(constB44) <=> (v1(constB44) | v6(constB44)))) | v22(constB44)),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29336, 29335])).
% 9.51/7.06 tff(29338,plain,
% 9.51/7.06 (v22(constB44)),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29337, 29333])).
% 9.51/7.06 tff(29339,plain,
% 9.51/7.06 ((~((~v19(constB44)) | (~v22(constB44)))) | (~v19(constB44)) | (~v22(constB44))),
% 9.51/7.06 inference(tautology,[status(thm)],[])).
% 9.51/7.06 tff(29340,plain,
% 9.51/7.06 ((~((~v19(constB44)) | (~v22(constB44)))) | (~v19(constB44))),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29339, 29338])).
% 9.51/7.06 tff(29341,plain,
% 9.51/7.06 (~v19(constB44)),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29340, 29331])).
% 9.51/7.06 tff(29342,plain,
% 9.51/7.06 ((~(v19(constB44) <=> (v20(constB44) | v21(constB44)))) | v19(constB44) | (~(v20(constB44) | v21(constB44)))),
% 9.51/7.06 inference(tautology,[status(thm)],[])).
% 9.51/7.06 tff(29343,plain,
% 9.51/7.06 (~(v20(constB44) | v21(constB44))),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29342, 29341, 29321])).
% 9.51/7.06 tff(29344,plain,
% 9.51/7.06 ((v20(constB44) | v21(constB44)) | (~v21(constB44))),
% 9.51/7.06 inference(tautology,[status(thm)],[])).
% 9.51/7.06 tff(29345,plain,
% 9.51/7.06 (~v21(constB44)),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29344, 29343])).
% 9.51/7.06 tff(29346,plain,
% 9.51/7.06 ((~((~v21(constB44)) <=> v6(constB44))) | v21(constB44) | v6(constB44)),
% 9.51/7.06 inference(tautology,[status(thm)],[])).
% 9.51/7.06 tff(29347,plain,
% 9.51/7.06 (v6(constB44)),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29346, 29345, 29319])).
% 9.51/7.06 tff(29348,plain,
% 9.51/7.06 ((~(v6(constB44) <=> v13(constB44))) | (~v6(constB44)) | v13(constB44)),
% 9.51/7.06 inference(tautology,[status(thm)],[])).
% 9.51/7.06 tff(29349,plain,
% 9.51/7.06 (v13(constB44)),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29348, 29347, 29317])).
% 9.51/7.06 tff(29350,plain,
% 9.51/7.06 ((~(v13(constB44) <=> v9(constB43))) | (~v13(constB44)) | v9(constB43)),
% 9.51/7.06 inference(tautology,[status(thm)],[])).
% 9.51/7.06 tff(29351,plain,
% 9.51/7.06 (v9(constB43)),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29350, 29349, 29315])).
% 9.51/7.06 tff(29352,plain,
% 9.51/7.06 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB43)) <=> v1(constB43))),
% 9.51/7.06 inference(quant_inst,[status(thm)],[])).
% 9.51/7.06 tff(29353,plain,
% 9.51/7.06 ((~v39(constB43)) <=> v1(constB43)),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29352, 139])).
% 9.51/7.06 tff(29354,plain,
% 9.51/7.06 ((~((~v39(constB43)) <=> v1(constB43))) | v39(constB43) | v1(constB43)),
% 9.51/7.06 inference(tautology,[status(thm)],[])).
% 9.51/7.06 tff(29355,plain,
% 9.51/7.06 ((~((~v39(constB43)) <=> v1(constB43))) | v39(constB43)),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29354, 7772])).
% 9.51/7.06 tff(29356,plain,
% 9.51/7.06 (v39(constB43)),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29355, 29353])).
% 9.51/7.06 tff(29357,plain,
% 9.51/7.06 ((~((~v39(constB43)) | (~v9(constB43)))) | (~v39(constB43)) | (~v9(constB43))),
% 9.51/7.06 inference(tautology,[status(thm)],[])).
% 9.51/7.06 tff(29358,plain,
% 9.51/7.06 ((~((~v39(constB43)) | (~v9(constB43)))) | (~v9(constB43))),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29357, 29356])).
% 9.51/7.06 tff(29359,plain,
% 9.51/7.06 (~((~v39(constB43)) | (~v9(constB43)))),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29358, 29351])).
% 9.51/7.06 tff(29360,plain,
% 9.51/7.06 ((~(v141(constB43) <=> (~((~v39(constB43)) | (~v9(constB43)))))) | v141(constB43) | ((~v39(constB43)) | (~v9(constB43)))),
% 9.51/7.06 inference(tautology,[status(thm)],[])).
% 9.51/7.06 tff(29361,plain,
% 9.51/7.06 (v141(constB43)),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29360, 29359, 29311])).
% 9.51/7.06 tff(29362,plain,
% 9.51/7.06 ((v141(constB43) | v26(constB43)) | (~v141(constB43))),
% 9.51/7.06 inference(tautology,[status(thm)],[])).
% 9.51/7.06 tff(29363,plain,
% 9.51/7.06 (v141(constB43) | v26(constB43)),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29362, 29361])).
% 9.51/7.06 tff(29364,plain,
% 9.51/7.06 ((~(v140(constB43) <=> (v141(constB43) | v26(constB43)))) | v140(constB43) | (~(v141(constB43) | v26(constB43)))),
% 9.51/7.06 inference(tautology,[status(thm)],[])).
% 9.51/7.06 tff(29365,plain,
% 9.51/7.06 (v140(constB43)),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29364, 29363, 29309])).
% 9.51/7.06 tff(29366,plain,
% 9.51/7.06 ((~((~v139(constB43)) <=> v140(constB43))) | (~v139(constB43)) | (~v140(constB43))),
% 9.51/7.06 inference(tautology,[status(thm)],[])).
% 9.51/7.06 tff(29367,plain,
% 9.51/7.06 (~v139(constB43)),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29366, 29365, 29307])).
% 9.51/7.06 tff(29368,plain,
% 9.51/7.06 (((~v130(constB43)) | (~v139(constB43))) | v139(constB43)),
% 9.51/7.06 inference(tautology,[status(thm)],[])).
% 9.51/7.06 tff(29369,plain,
% 9.51/7.06 ((~v130(constB43)) | (~v139(constB43))),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29368, 29367])).
% 9.51/7.06 tff(29370,plain,
% 9.51/7.06 ((~(v155(constB43) <=> (~((~v130(constB43)) | (~v139(constB43)))))) | (~v155(constB43)) | (~((~v130(constB43)) | (~v139(constB43))))),
% 9.51/7.06 inference(tautology,[status(thm)],[])).
% 9.51/7.06 tff(29371,plain,
% 9.51/7.06 (~v155(constB43)),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29370, 29369, 29305])).
% 9.51/7.06 tff(29372,plain,
% 9.51/7.06 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB43) <=> (~((~v132(constB43)) | (~v154(constB43)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB43) <=> (~((~v132(constB43)) | (~v154(constB43))))))),
% 9.51/7.06 inference(rewrite,[status(thm)],[])).
% 9.51/7.06 tff(29373,plain,
% 9.51/7.06 ((v153(constB43) <=> (~((~v154(constB43)) | (~v132(constB43))))) <=> (v153(constB43) <=> (~((~v132(constB43)) | (~v154(constB43)))))),
% 9.51/7.06 inference(rewrite,[status(thm)],[])).
% 9.51/7.06 tff(29374,plain,
% 9.51/7.06 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB43) <=> (~((~v154(constB43)) | (~v132(constB43)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB43) <=> (~((~v132(constB43)) | (~v154(constB43))))))),
% 9.51/7.06 inference(monotonicity,[status(thm)],[29373])).
% 9.51/7.06 tff(29375,plain,
% 9.51/7.06 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB43) <=> (~((~v154(constB43)) | (~v132(constB43)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB43) <=> (~((~v132(constB43)) | (~v154(constB43))))))),
% 9.51/7.06 inference(transitivity,[status(thm)],[29374, 29372])).
% 9.51/7.06 tff(29376,plain,
% 9.51/7.06 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB43) <=> (~((~v154(constB43)) | (~v132(constB43)))))),
% 9.51/7.06 inference(quant_inst,[status(thm)],[])).
% 9.51/7.06 tff(29377,plain,
% 9.51/7.06 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB43) <=> (~((~v132(constB43)) | (~v154(constB43)))))),
% 9.51/7.06 inference(modus_ponens,[status(thm)],[29376, 29375])).
% 9.51/7.06 tff(29378,plain,
% 9.51/7.06 (v153(constB43) <=> (~((~v132(constB43)) | (~v154(constB43))))),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29377, 399])).
% 9.51/7.06 tff(29379,plain,
% 9.51/7.06 ((~![VarNext: $i] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB43) <=> v137(constB43))),
% 9.51/7.06 inference(quant_inst,[status(thm)],[])).
% 9.51/7.06 tff(29380,plain,
% 9.51/7.06 (v132(constB43) <=> v137(constB43)),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29379, 558])).
% 9.51/7.06 tff(29381,plain,
% 9.51/7.06 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB42, constB43)) | (v137(constB43) <=> v135(constB42)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB42, constB43)) | (v137(constB43) <=> v135(constB42)))),
% 9.51/7.06 inference(rewrite,[status(thm)],[])).
% 9.51/7.06 tff(29382,plain,
% 9.51/7.06 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB42, constB43)) | (v137(constB43) <=> v135(constB42)))),
% 9.51/7.06 inference(quant_inst,[status(thm)],[])).
% 9.51/7.06 tff(29383,plain,
% 9.51/7.06 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB42, constB43)) | (v137(constB43) <=> v135(constB42))),
% 9.51/7.06 inference(modus_ponens,[status(thm)],[29382, 29381])).
% 9.51/7.06 tff(29384,plain,
% 9.51/7.06 (v137(constB43) <=> v135(constB42)),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29383, 7806, 570])).
% 9.51/7.06 tff(29385,plain,
% 9.51/7.06 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB42) <=> (v138(constB42) | v142(constB42)))),
% 9.51/7.06 inference(quant_inst,[status(thm)],[])).
% 9.51/7.06 tff(29386,plain,
% 9.51/7.06 (v135(constB42) <=> (v138(constB42) | v142(constB42))),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29385, 584])).
% 9.51/7.06 tff(29387,plain,
% 9.51/7.06 ((~![VarCurr: $i] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB42) <=> (~((~v143(constB42)) | (~v144(constB42)))))),
% 9.51/7.06 inference(quant_inst,[status(thm)],[])).
% 9.51/7.06 tff(29388,plain,
% 9.51/7.06 (v142(constB42) <=> (~((~v143(constB42)) | (~v144(constB42))))),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29387, 596])).
% 9.51/7.06 tff(29389,plain,
% 9.51/7.06 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB42) <=> (~((~v141(constB42)) | (~v145(constB42)))))),
% 9.51/7.06 inference(quant_inst,[status(thm)],[])).
% 9.51/7.06 tff(29390,plain,
% 9.51/7.06 (v144(constB42) <=> (~((~v141(constB42)) | (~v145(constB42))))),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29389, 608])).
% 9.51/7.06 tff(29391,plain,
% 9.51/7.06 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB42) <=> (~((~v39(constB42)) | (~v9(constB42)))))),
% 9.51/7.06 inference(quant_inst,[status(thm)],[])).
% 9.51/7.06 tff(29392,plain,
% 9.51/7.06 (v141(constB42) <=> (~((~v39(constB42)) | (~v9(constB42))))),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29391, 130])).
% 9.51/7.06 tff(29393,plain,
% 9.51/7.06 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB42)) <=> v1(constB42))),
% 9.51/7.06 inference(quant_inst,[status(thm)],[])).
% 9.51/7.06 tff(29394,plain,
% 9.51/7.06 ((~v39(constB42)) <=> v1(constB42)),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29393, 139])).
% 9.51/7.06 tff(29395,plain,
% 9.51/7.06 ((~((~v39(constB42)) <=> v1(constB42))) | (~v39(constB42)) | (~v1(constB42))),
% 9.51/7.06 inference(tautology,[status(thm)],[])).
% 9.51/7.06 tff(29396,plain,
% 9.51/7.06 ((~((~v39(constB42)) <=> v1(constB42))) | (~v39(constB42))),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29395, 7868])).
% 9.51/7.06 tff(29397,plain,
% 9.51/7.06 (~v39(constB42)),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29396, 29394])).
% 9.51/7.06 tff(29398,plain,
% 9.51/7.06 (((~v39(constB42)) | (~v9(constB42))) | v39(constB42)),
% 9.51/7.06 inference(tautology,[status(thm)],[])).
% 9.51/7.06 tff(29399,plain,
% 9.51/7.06 ((~v39(constB42)) | (~v9(constB42))),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29398, 29397])).
% 9.51/7.06 tff(29400,plain,
% 9.51/7.06 ((~(v141(constB42) <=> (~((~v39(constB42)) | (~v9(constB42)))))) | (~v141(constB42)) | (~((~v39(constB42)) | (~v9(constB42))))),
% 9.51/7.06 inference(tautology,[status(thm)],[])).
% 9.51/7.06 tff(29401,plain,
% 9.51/7.06 ((~(v141(constB42) <=> (~((~v39(constB42)) | (~v9(constB42)))))) | (~v141(constB42))),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29400, 29399])).
% 9.51/7.06 tff(29402,plain,
% 9.51/7.06 (~v141(constB42)),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29401, 29392])).
% 9.51/7.06 tff(29403,plain,
% 9.51/7.06 (((~v141(constB42)) | (~v145(constB42))) | v141(constB42)),
% 9.51/7.06 inference(tautology,[status(thm)],[])).
% 9.51/7.06 tff(29404,plain,
% 9.51/7.06 ((~v141(constB42)) | (~v145(constB42))),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29403, 29402])).
% 9.51/7.06 tff(29405,plain,
% 9.51/7.06 ((~(v144(constB42) <=> (~((~v141(constB42)) | (~v145(constB42)))))) | (~v144(constB42)) | (~((~v141(constB42)) | (~v145(constB42))))),
% 9.51/7.06 inference(tautology,[status(thm)],[])).
% 9.51/7.06 tff(29406,plain,
% 9.51/7.06 ((~(v144(constB42) <=> (~((~v141(constB42)) | (~v145(constB42)))))) | (~v144(constB42))),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29405, 29404])).
% 9.51/7.06 tff(29407,plain,
% 9.51/7.06 (~v144(constB42)),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29406, 29390])).
% 9.51/7.06 tff(29408,plain,
% 9.51/7.06 (((~v143(constB42)) | (~v144(constB42))) | v144(constB42)),
% 9.51/7.06 inference(tautology,[status(thm)],[])).
% 9.51/7.06 tff(29409,plain,
% 9.51/7.06 ((~v143(constB42)) | (~v144(constB42))),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29408, 29407])).
% 9.51/7.06 tff(29410,plain,
% 9.51/7.06 ((~(v142(constB42) <=> (~((~v143(constB42)) | (~v144(constB42)))))) | (~v142(constB42)) | (~((~v143(constB42)) | (~v144(constB42))))),
% 9.51/7.06 inference(tautology,[status(thm)],[])).
% 9.51/7.06 tff(29411,plain,
% 9.51/7.06 (~v142(constB42)),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29410, 29409, 29388])).
% 9.51/7.06 tff(29412,plain,
% 9.51/7.06 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB42) <=> (~((~v132(constB42)) | (~v139(constB42)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB42) <=> (~((~v132(constB42)) | (~v139(constB42))))))),
% 9.51/7.06 inference(rewrite,[status(thm)],[])).
% 9.51/7.06 tff(29413,plain,
% 9.51/7.06 ((v138(constB42) <=> (~((~v139(constB42)) | (~v132(constB42))))) <=> (v138(constB42) <=> (~((~v132(constB42)) | (~v139(constB42)))))),
% 9.51/7.06 inference(rewrite,[status(thm)],[])).
% 9.51/7.06 tff(29414,plain,
% 9.51/7.06 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB42) <=> (~((~v139(constB42)) | (~v132(constB42)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB42) <=> (~((~v132(constB42)) | (~v139(constB42))))))),
% 9.51/7.06 inference(monotonicity,[status(thm)],[29413])).
% 9.51/7.06 tff(29415,plain,
% 9.51/7.06 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB42) <=> (~((~v139(constB42)) | (~v132(constB42)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB42) <=> (~((~v132(constB42)) | (~v139(constB42))))))),
% 9.51/7.06 inference(transitivity,[status(thm)],[29414, 29412])).
% 9.51/7.06 tff(29416,plain,
% 9.51/7.06 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB42) <=> (~((~v139(constB42)) | (~v132(constB42)))))),
% 9.51/7.06 inference(quant_inst,[status(thm)],[])).
% 9.51/7.06 tff(29417,plain,
% 9.51/7.06 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB42) <=> (~((~v132(constB42)) | (~v139(constB42)))))),
% 9.51/7.06 inference(modus_ponens,[status(thm)],[29416, 29415])).
% 9.51/7.06 tff(29418,plain,
% 9.51/7.06 (v138(constB42) <=> (~((~v132(constB42)) | (~v139(constB42))))),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29417, 644])).
% 9.51/7.06 tff(29419,plain,
% 9.51/7.06 ((~![VarNext: $i] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB42) <=> v137(constB42))),
% 9.51/7.06 inference(quant_inst,[status(thm)],[])).
% 9.51/7.06 tff(29420,plain,
% 9.51/7.06 (v132(constB42) <=> v137(constB42)),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29419, 558])).
% 9.51/7.06 tff(29421,plain,
% 9.51/7.06 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB41, constB42)) | (v137(constB42) <=> v135(constB41)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB41, constB42)) | (v137(constB42) <=> v135(constB41)))),
% 9.51/7.06 inference(rewrite,[status(thm)],[])).
% 9.51/7.06 tff(29422,plain,
% 9.51/7.06 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB41, constB42)) | (v137(constB42) <=> v135(constB41)))),
% 9.51/7.06 inference(quant_inst,[status(thm)],[])).
% 9.51/7.06 tff(29423,plain,
% 9.51/7.06 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB41, constB42)) | (v137(constB42) <=> v135(constB41))),
% 9.51/7.06 inference(modus_ponens,[status(thm)],[29422, 29421])).
% 9.51/7.06 tff(29424,plain,
% 9.51/7.06 (v137(constB42) <=> v135(constB41)),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29423, 7838, 570])).
% 9.51/7.06 tff(29425,plain,
% 9.51/7.06 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB41) <=> (v138(constB41) | v142(constB41)))),
% 9.51/7.06 inference(quant_inst,[status(thm)],[])).
% 9.51/7.06 tff(29426,plain,
% 9.51/7.06 (v135(constB41) <=> (v138(constB41) | v142(constB41))),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29425, 584])).
% 9.51/7.06 tff(29427,plain,
% 9.51/7.06 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB41) <=> (~((~v132(constB41)) | (~v139(constB41)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB41) <=> (~((~v132(constB41)) | (~v139(constB41))))))),
% 9.51/7.06 inference(rewrite,[status(thm)],[])).
% 9.51/7.06 tff(29428,plain,
% 9.51/7.06 ((v138(constB41) <=> (~((~v139(constB41)) | (~v132(constB41))))) <=> (v138(constB41) <=> (~((~v132(constB41)) | (~v139(constB41)))))),
% 9.51/7.06 inference(rewrite,[status(thm)],[])).
% 9.51/7.06 tff(29429,plain,
% 9.51/7.06 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB41) <=> (~((~v139(constB41)) | (~v132(constB41)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB41) <=> (~((~v132(constB41)) | (~v139(constB41))))))),
% 9.51/7.06 inference(monotonicity,[status(thm)],[29428])).
% 9.51/7.06 tff(29430,plain,
% 9.51/7.06 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB41) <=> (~((~v139(constB41)) | (~v132(constB41)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB41) <=> (~((~v132(constB41)) | (~v139(constB41))))))),
% 9.51/7.06 inference(transitivity,[status(thm)],[29429, 29427])).
% 9.51/7.06 tff(29431,plain,
% 9.51/7.06 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB41) <=> (~((~v139(constB41)) | (~v132(constB41)))))),
% 9.51/7.06 inference(quant_inst,[status(thm)],[])).
% 9.51/7.06 tff(29432,plain,
% 9.51/7.06 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB41) <=> (~((~v132(constB41)) | (~v139(constB41)))))),
% 9.51/7.06 inference(modus_ponens,[status(thm)],[29431, 29430])).
% 9.51/7.06 tff(29433,plain,
% 9.51/7.06 (v138(constB41) <=> (~((~v132(constB41)) | (~v139(constB41))))),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29432, 644])).
% 9.51/7.06 tff(29434,plain,
% 9.51/7.06 ((~![VarCurr: $i] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB41)) <=> v140(constB41))),
% 9.51/7.06 inference(quant_inst,[status(thm)],[])).
% 9.51/7.06 tff(29435,plain,
% 9.51/7.06 ((~v139(constB41)) <=> v140(constB41)),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29434, 203])).
% 9.51/7.06 tff(29436,plain,
% 9.51/7.06 ((~![VarCurr: $i] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB41) <=> (v141(constB41) | v26(constB41)))),
% 9.51/7.06 inference(quant_inst,[status(thm)],[])).
% 9.51/7.06 tff(29437,plain,
% 9.51/7.06 (v140(constB41) <=> (v141(constB41) | v26(constB41))),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29436, 212])).
% 9.51/7.06 tff(29438,plain,
% 9.51/7.06 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB41) <=> (~((~v39(constB41)) | (~v9(constB41)))))),
% 9.51/7.06 inference(quant_inst,[status(thm)],[])).
% 9.51/7.06 tff(29439,plain,
% 9.51/7.06 (v141(constB41) <=> (~((~v39(constB41)) | (~v9(constB41))))),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29438, 130])).
% 9.51/7.06 tff(29440,plain,
% 9.51/7.06 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB41, constB42)) | (v13(constB42) <=> v9(constB41)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB41, constB42)) | (v13(constB42) <=> v9(constB41)))),
% 9.51/7.06 inference(rewrite,[status(thm)],[])).
% 9.51/7.06 tff(29441,plain,
% 9.51/7.06 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB41, constB42)) | (v13(constB42) <=> v9(constB41)))),
% 9.51/7.06 inference(quant_inst,[status(thm)],[])).
% 9.51/7.06 tff(29442,plain,
% 9.51/7.06 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB41, constB42)) | (v13(constB42) <=> v9(constB41))),
% 9.51/7.06 inference(modus_ponens,[status(thm)],[29441, 29440])).
% 9.51/7.06 tff(29443,plain,
% 9.51/7.06 (v13(constB42) <=> v9(constB41)),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29442, 7838, 226])).
% 9.51/7.06 tff(29444,plain,
% 9.51/7.06 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB42) <=> v13(constB42))),
% 9.51/7.06 inference(quant_inst,[status(thm)],[])).
% 9.51/7.06 tff(29445,plain,
% 9.51/7.06 (v6(constB42) <=> v13(constB42)),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29444, 240])).
% 9.51/7.06 tff(29446,plain,
% 9.51/7.06 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB42)) <=> v6(constB42))),
% 9.51/7.06 inference(quant_inst,[status(thm)],[])).
% 9.51/7.06 tff(29447,plain,
% 9.51/7.06 ((~v21(constB42)) <=> v6(constB42)),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29446, 249])).
% 9.51/7.06 tff(29448,plain,
% 9.51/7.06 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB42) <=> (v20(constB42) | v21(constB42)))),
% 9.51/7.06 inference(quant_inst,[status(thm)],[])).
% 9.51/7.06 tff(29449,plain,
% 9.51/7.06 (v19(constB42) <=> (v20(constB42) | v21(constB42))),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29448, 258])).
% 9.51/7.06 tff(29450,plain,
% 9.51/7.06 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB42) <=> (~((~v19(constB42)) | (~v22(constB42)))))),
% 9.51/7.06 inference(quant_inst,[status(thm)],[])).
% 9.51/7.06 tff(29451,plain,
% 9.51/7.06 (v18(constB42) <=> (~((~v19(constB42)) | (~v22(constB42))))),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29450, 270])).
% 9.51/7.06 tff(29452,plain,
% 9.51/7.06 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB42)) <=> v18(constB42))),
% 9.51/7.06 inference(quant_inst,[status(thm)],[])).
% 9.51/7.06 tff(29453,plain,
% 9.51/7.06 ((~v4(constB42)) <=> v18(constB42)),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29452, 279])).
% 9.51/7.06 tff(29454,plain,
% 9.51/7.06 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB42)),
% 9.51/7.06 inference(quant_inst,[status(thm)],[])).
% 9.51/7.06 tff(29455,plain,
% 9.51/7.06 (v4(constB42)),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29454, 288])).
% 9.51/7.06 tff(29456,plain,
% 9.51/7.06 ((~((~v4(constB42)) <=> v18(constB42))) | (~v4(constB42)) | (~v18(constB42))),
% 9.51/7.06 inference(tautology,[status(thm)],[])).
% 9.51/7.06 tff(29457,plain,
% 9.51/7.06 (~v18(constB42)),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29456, 29455, 29453])).
% 9.51/7.06 tff(29458,plain,
% 9.51/7.06 ((~(v18(constB42) <=> (~((~v19(constB42)) | (~v22(constB42)))))) | v18(constB42) | ((~v19(constB42)) | (~v22(constB42)))),
% 9.51/7.06 inference(tautology,[status(thm)],[])).
% 9.51/7.06 tff(29459,plain,
% 9.51/7.06 ((~v19(constB42)) | (~v22(constB42))),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29458, 29457, 29451])).
% 9.51/7.06 tff(29460,plain,
% 9.51/7.06 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB42) <=> (v1(constB42) | v6(constB42)))),
% 9.51/7.06 inference(quant_inst,[status(thm)],[])).
% 9.51/7.06 tff(29461,plain,
% 9.51/7.06 (v22(constB42) <=> (v1(constB42) | v6(constB42))),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29460, 301])).
% 9.51/7.06 tff(29462,plain,
% 9.51/7.06 ((v1(constB42) | v6(constB42)) | (~v1(constB42))),
% 9.51/7.06 inference(tautology,[status(thm)],[])).
% 9.51/7.06 tff(29463,plain,
% 9.51/7.06 (v1(constB42) | v6(constB42)),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29462, 7868])).
% 9.51/7.06 tff(29464,plain,
% 9.51/7.06 ((~(v22(constB42) <=> (v1(constB42) | v6(constB42)))) | v22(constB42) | (~(v1(constB42) | v6(constB42)))),
% 9.51/7.06 inference(tautology,[status(thm)],[])).
% 9.51/7.06 tff(29465,plain,
% 9.51/7.06 ((~(v22(constB42) <=> (v1(constB42) | v6(constB42)))) | v22(constB42)),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29464, 29463])).
% 9.51/7.06 tff(29466,plain,
% 9.51/7.06 (v22(constB42)),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29465, 29461])).
% 9.51/7.06 tff(29467,plain,
% 9.51/7.06 ((~((~v19(constB42)) | (~v22(constB42)))) | (~v19(constB42)) | (~v22(constB42))),
% 9.51/7.06 inference(tautology,[status(thm)],[])).
% 9.51/7.06 tff(29468,plain,
% 9.51/7.06 ((~((~v19(constB42)) | (~v22(constB42)))) | (~v19(constB42))),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29467, 29466])).
% 9.51/7.06 tff(29469,plain,
% 9.51/7.06 (~v19(constB42)),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29468, 29459])).
% 9.51/7.06 tff(29470,plain,
% 9.51/7.06 ((~(v19(constB42) <=> (v20(constB42) | v21(constB42)))) | v19(constB42) | (~(v20(constB42) | v21(constB42)))),
% 9.51/7.06 inference(tautology,[status(thm)],[])).
% 9.51/7.06 tff(29471,plain,
% 9.51/7.06 (~(v20(constB42) | v21(constB42))),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29470, 29469, 29449])).
% 9.51/7.06 tff(29472,plain,
% 9.51/7.06 ((v20(constB42) | v21(constB42)) | (~v21(constB42))),
% 9.51/7.06 inference(tautology,[status(thm)],[])).
% 9.51/7.06 tff(29473,plain,
% 9.51/7.06 (~v21(constB42)),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29472, 29471])).
% 9.51/7.06 tff(29474,plain,
% 9.51/7.06 ((~((~v21(constB42)) <=> v6(constB42))) | v21(constB42) | v6(constB42)),
% 9.51/7.06 inference(tautology,[status(thm)],[])).
% 9.51/7.06 tff(29475,plain,
% 9.51/7.06 (v6(constB42)),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29474, 29473, 29447])).
% 9.51/7.06 tff(29476,plain,
% 9.51/7.06 ((~(v6(constB42) <=> v13(constB42))) | (~v6(constB42)) | v13(constB42)),
% 9.51/7.06 inference(tautology,[status(thm)],[])).
% 9.51/7.06 tff(29477,plain,
% 9.51/7.06 (v13(constB42)),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29476, 29475, 29445])).
% 9.51/7.06 tff(29478,plain,
% 9.51/7.06 ((~(v13(constB42) <=> v9(constB41))) | (~v13(constB42)) | v9(constB41)),
% 9.51/7.06 inference(tautology,[status(thm)],[])).
% 9.51/7.06 tff(29479,plain,
% 9.51/7.06 (v9(constB41)),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29478, 29477, 29443])).
% 9.51/7.06 tff(29480,plain,
% 9.51/7.06 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB41)) <=> v1(constB41))),
% 9.51/7.06 inference(quant_inst,[status(thm)],[])).
% 9.51/7.06 tff(29481,plain,
% 9.51/7.06 ((~v39(constB41)) <=> v1(constB41)),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29480, 139])).
% 9.51/7.06 tff(29482,plain,
% 9.51/7.06 ((~((~v39(constB41)) <=> v1(constB41))) | v39(constB41) | v1(constB41)),
% 9.51/7.06 inference(tautology,[status(thm)],[])).
% 9.51/7.06 tff(29483,plain,
% 9.51/7.06 ((~((~v39(constB41)) <=> v1(constB41))) | v39(constB41)),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29482, 7860])).
% 9.51/7.06 tff(29484,plain,
% 9.51/7.06 (v39(constB41)),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29483, 29481])).
% 9.51/7.06 tff(29485,plain,
% 9.51/7.06 ((~((~v39(constB41)) | (~v9(constB41)))) | (~v39(constB41)) | (~v9(constB41))),
% 9.51/7.06 inference(tautology,[status(thm)],[])).
% 9.51/7.06 tff(29486,plain,
% 9.51/7.06 ((~((~v39(constB41)) | (~v9(constB41)))) | (~v9(constB41))),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29485, 29484])).
% 9.51/7.06 tff(29487,plain,
% 9.51/7.06 (~((~v39(constB41)) | (~v9(constB41)))),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29486, 29479])).
% 9.51/7.06 tff(29488,plain,
% 9.51/7.06 ((~(v141(constB41) <=> (~((~v39(constB41)) | (~v9(constB41)))))) | v141(constB41) | ((~v39(constB41)) | (~v9(constB41)))),
% 9.51/7.06 inference(tautology,[status(thm)],[])).
% 9.51/7.06 tff(29489,plain,
% 9.51/7.06 (v141(constB41)),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29488, 29487, 29439])).
% 9.51/7.06 tff(29490,plain,
% 9.51/7.06 ((v141(constB41) | v26(constB41)) | (~v141(constB41))),
% 9.51/7.06 inference(tautology,[status(thm)],[])).
% 9.51/7.06 tff(29491,plain,
% 9.51/7.06 (v141(constB41) | v26(constB41)),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29490, 29489])).
% 9.51/7.06 tff(29492,plain,
% 9.51/7.06 ((~(v140(constB41) <=> (v141(constB41) | v26(constB41)))) | v140(constB41) | (~(v141(constB41) | v26(constB41)))),
% 9.51/7.06 inference(tautology,[status(thm)],[])).
% 9.51/7.06 tff(29493,plain,
% 9.51/7.06 (v140(constB41)),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29492, 29491, 29437])).
% 9.51/7.06 tff(29494,plain,
% 9.51/7.06 ((~((~v139(constB41)) <=> v140(constB41))) | (~v139(constB41)) | (~v140(constB41))),
% 9.51/7.06 inference(tautology,[status(thm)],[])).
% 9.51/7.06 tff(29495,plain,
% 9.51/7.06 (~v139(constB41)),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29494, 29493, 29435])).
% 9.51/7.06 tff(29496,plain,
% 9.51/7.06 (((~v132(constB41)) | (~v139(constB41))) | v139(constB41)),
% 9.51/7.06 inference(tautology,[status(thm)],[])).
% 9.51/7.06 tff(29497,plain,
% 9.51/7.06 ((~v132(constB41)) | (~v139(constB41))),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29496, 29495])).
% 9.51/7.06 tff(29498,plain,
% 9.51/7.06 ((~(v138(constB41) <=> (~((~v132(constB41)) | (~v139(constB41)))))) | (~v138(constB41)) | (~((~v132(constB41)) | (~v139(constB41))))),
% 9.51/7.06 inference(tautology,[status(thm)],[])).
% 9.51/7.06 tff(29499,plain,
% 9.51/7.06 (~v138(constB41)),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29498, 29497, 29433])).
% 9.51/7.06 tff(29500,plain,
% 9.51/7.06 ((~![VarCurr: $i] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB41) <=> (~((~v143(constB41)) | (~v144(constB41)))))),
% 9.51/7.06 inference(quant_inst,[status(thm)],[])).
% 9.51/7.06 tff(29501,plain,
% 9.51/7.06 (v142(constB41) <=> (~((~v143(constB41)) | (~v144(constB41))))),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29500, 596])).
% 9.51/7.06 tff(29502,plain,
% 9.51/7.06 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB41) <=> (~((~v141(constB41)) | (~v145(constB41)))))),
% 9.51/7.06 inference(quant_inst,[status(thm)],[])).
% 9.51/7.06 tff(29503,plain,
% 9.51/7.06 (v144(constB41) <=> (~((~v141(constB41)) | (~v145(constB41))))),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29502, 608])).
% 9.51/7.06 tff(29504,plain,
% 9.51/7.06 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB41) <=> (~(v84(constB41, bitIndex2) | v84(constB41, bitIndex1) | (~v84(constB41, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB41) <=> (~(v84(constB41, bitIndex2) | v84(constB41, bitIndex1) | (~v84(constB41, bitIndex0))))))),
% 9.51/7.06 inference(rewrite,[status(thm)],[])).
% 9.51/7.06 tff(29505,plain,
% 9.51/7.06 ((v145(constB41) <=> (~(v84(constB41, bitIndex1) | v84(constB41, bitIndex2) | (~v84(constB41, bitIndex0))))) <=> (v145(constB41) <=> (~(v84(constB41, bitIndex2) | v84(constB41, bitIndex1) | (~v84(constB41, bitIndex0)))))),
% 9.51/7.06 inference(rewrite,[status(thm)],[])).
% 9.51/7.06 tff(29506,plain,
% 9.51/7.06 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB41) <=> (~(v84(constB41, bitIndex1) | v84(constB41, bitIndex2) | (~v84(constB41, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB41) <=> (~(v84(constB41, bitIndex2) | v84(constB41, bitIndex1) | (~v84(constB41, bitIndex0))))))),
% 9.51/7.06 inference(monotonicity,[status(thm)],[29505])).
% 9.51/7.06 tff(29507,plain,
% 9.51/7.06 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB41) <=> (~(v84(constB41, bitIndex1) | v84(constB41, bitIndex2) | (~v84(constB41, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB41) <=> (~(v84(constB41, bitIndex2) | v84(constB41, bitIndex1) | (~v84(constB41, bitIndex0))))))),
% 9.51/7.06 inference(transitivity,[status(thm)],[29506, 29504])).
% 9.51/7.06 tff(29508,plain,
% 9.51/7.06 ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB41) <=> (~(v84(constB41, bitIndex1) | v84(constB41, bitIndex2) | (~v84(constB41, bitIndex0)))))),
% 9.51/7.06 inference(quant_inst,[status(thm)],[])).
% 9.51/7.06 tff(29509,plain,
% 9.51/7.06 ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB41) <=> (~(v84(constB41, bitIndex2) | v84(constB41, bitIndex1) | (~v84(constB41, bitIndex0)))))),
% 9.51/7.06 inference(modus_ponens,[status(thm)],[29508, 29507])).
% 9.51/7.06 tff(29510,plain,
% 9.51/7.06 (v145(constB41) <=> (~(v84(constB41, bitIndex2) | v84(constB41, bitIndex1) | (~v84(constB41, bitIndex0))))),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29509, 755])).
% 9.51/7.06 tff(29511,plain,
% 9.51/7.06 ((v84(constB41, bitIndex2) | v84(constB41, bitIndex1) | (~v84(constB41, bitIndex0))) | (~v84(constB41, bitIndex1))),
% 9.51/7.06 inference(tautology,[status(thm)],[])).
% 9.51/7.06 tff(29512,plain,
% 9.51/7.06 (v84(constB41, bitIndex2) | v84(constB41, bitIndex1) | (~v84(constB41, bitIndex0))),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29511, 13257])).
% 9.51/7.06 tff(29513,plain,
% 9.51/7.06 ((~(v145(constB41) <=> (~(v84(constB41, bitIndex2) | v84(constB41, bitIndex1) | (~v84(constB41, bitIndex0)))))) | (~v145(constB41)) | (~(v84(constB41, bitIndex2) | v84(constB41, bitIndex1) | (~v84(constB41, bitIndex0))))),
% 9.51/7.06 inference(tautology,[status(thm)],[])).
% 9.51/7.06 tff(29514,plain,
% 9.51/7.06 (~v145(constB41)),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29513, 29512, 29510])).
% 9.51/7.06 tff(29515,plain,
% 9.51/7.06 (((~v141(constB41)) | (~v145(constB41))) | v145(constB41)),
% 9.51/7.06 inference(tautology,[status(thm)],[])).
% 9.51/7.06 tff(29516,plain,
% 9.51/7.06 ((~v141(constB41)) | (~v145(constB41))),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29515, 29514])).
% 9.51/7.06 tff(29517,plain,
% 9.51/7.06 ((~(v144(constB41) <=> (~((~v141(constB41)) | (~v145(constB41)))))) | (~v144(constB41)) | (~((~v141(constB41)) | (~v145(constB41))))),
% 9.51/7.06 inference(tautology,[status(thm)],[])).
% 9.51/7.06 tff(29518,plain,
% 9.51/7.06 (~v144(constB41)),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29517, 29516, 29503])).
% 9.51/7.06 tff(29519,plain,
% 9.51/7.06 (((~v143(constB41)) | (~v144(constB41))) | v144(constB41)),
% 9.51/7.06 inference(tautology,[status(thm)],[])).
% 9.51/7.06 tff(29520,plain,
% 9.51/7.06 ((~v143(constB41)) | (~v144(constB41))),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29519, 29518])).
% 9.51/7.06 tff(29521,plain,
% 9.51/7.06 ((~(v142(constB41) <=> (~((~v143(constB41)) | (~v144(constB41)))))) | (~v142(constB41)) | (~((~v143(constB41)) | (~v144(constB41))))),
% 9.51/7.06 inference(tautology,[status(thm)],[])).
% 9.51/7.06 tff(29522,plain,
% 9.51/7.06 (~v142(constB41)),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29521, 29520, 29501])).
% 9.51/7.06 tff(29523,plain,
% 9.51/7.06 ((~(v138(constB41) | v142(constB41))) | v138(constB41) | v142(constB41)),
% 9.51/7.06 inference(tautology,[status(thm)],[])).
% 9.51/7.06 tff(29524,plain,
% 9.51/7.06 (~(v138(constB41) | v142(constB41))),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29523, 29522, 29499])).
% 9.51/7.06 tff(29525,plain,
% 9.51/7.06 ((~(v135(constB41) <=> (v138(constB41) | v142(constB41)))) | (~v135(constB41)) | (v138(constB41) | v142(constB41))),
% 9.51/7.06 inference(tautology,[status(thm)],[])).
% 9.51/7.06 tff(29526,plain,
% 9.51/7.06 (~v135(constB41)),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29525, 29524, 29426])).
% 9.51/7.06 tff(29527,plain,
% 9.51/7.06 ((~(v137(constB42) <=> v135(constB41))) | (~v137(constB42)) | v135(constB41)),
% 9.51/7.06 inference(tautology,[status(thm)],[])).
% 9.51/7.06 tff(29528,plain,
% 9.51/7.06 (~v137(constB42)),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29527, 29526, 29424])).
% 9.51/7.06 tff(29529,plain,
% 9.51/7.06 ((~(v132(constB42) <=> v137(constB42))) | (~v132(constB42)) | v137(constB42)),
% 9.51/7.06 inference(tautology,[status(thm)],[])).
% 9.51/7.06 tff(29530,plain,
% 9.51/7.06 (~v132(constB42)),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29529, 29528, 29420])).
% 9.51/7.06 tff(29531,plain,
% 9.51/7.06 (((~v132(constB42)) | (~v139(constB42))) | v132(constB42)),
% 9.51/7.06 inference(tautology,[status(thm)],[])).
% 9.51/7.06 tff(29532,plain,
% 9.51/7.06 ((~v132(constB42)) | (~v139(constB42))),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29531, 29530])).
% 9.51/7.06 tff(29533,plain,
% 9.51/7.06 ((~(v138(constB42) <=> (~((~v132(constB42)) | (~v139(constB42)))))) | (~v138(constB42)) | (~((~v132(constB42)) | (~v139(constB42))))),
% 9.51/7.06 inference(tautology,[status(thm)],[])).
% 9.51/7.06 tff(29534,plain,
% 9.51/7.06 (~v138(constB42)),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29533, 29532, 29418])).
% 9.51/7.06 tff(29535,plain,
% 9.51/7.06 ((~(v138(constB42) | v142(constB42))) | v138(constB42) | v142(constB42)),
% 9.51/7.06 inference(tautology,[status(thm)],[])).
% 9.51/7.06 tff(29536,plain,
% 9.51/7.06 (~(v138(constB42) | v142(constB42))),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29535, 29534, 29411])).
% 9.51/7.06 tff(29537,plain,
% 9.51/7.06 ((~(v135(constB42) <=> (v138(constB42) | v142(constB42)))) | (~v135(constB42)) | (v138(constB42) | v142(constB42))),
% 9.51/7.06 inference(tautology,[status(thm)],[])).
% 9.51/7.06 tff(29538,plain,
% 9.51/7.06 (~v135(constB42)),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29537, 29536, 29386])).
% 9.51/7.06 tff(29539,plain,
% 9.51/7.06 ((~(v137(constB43) <=> v135(constB42))) | (~v137(constB43)) | v135(constB42)),
% 9.51/7.06 inference(tautology,[status(thm)],[])).
% 9.51/7.06 tff(29540,plain,
% 9.51/7.06 (~v137(constB43)),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29539, 29538, 29384])).
% 9.51/7.06 tff(29541,plain,
% 9.51/7.06 ((~(v132(constB43) <=> v137(constB43))) | (~v132(constB43)) | v137(constB43)),
% 9.51/7.06 inference(tautology,[status(thm)],[])).
% 9.51/7.06 tff(29542,plain,
% 9.51/7.06 (~v132(constB43)),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29541, 29540, 29380])).
% 9.51/7.06 tff(29543,plain,
% 9.51/7.06 (((~v132(constB43)) | (~v154(constB43))) | v132(constB43)),
% 9.51/7.06 inference(tautology,[status(thm)],[])).
% 9.51/7.06 tff(29544,plain,
% 9.51/7.06 ((~v132(constB43)) | (~v154(constB43))),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29543, 29542])).
% 9.51/7.06 tff(29545,plain,
% 9.51/7.06 ((~(v153(constB43) <=> (~((~v132(constB43)) | (~v154(constB43)))))) | (~v153(constB43)) | (~((~v132(constB43)) | (~v154(constB43))))),
% 9.51/7.06 inference(tautology,[status(thm)],[])).
% 9.51/7.06 tff(29546,plain,
% 9.51/7.06 (~v153(constB43)),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29545, 29544, 29378])).
% 9.51/7.06 tff(29547,plain,
% 9.51/7.06 ((~(v153(constB43) | v155(constB43))) | v153(constB43) | v155(constB43)),
% 9.51/7.06 inference(tautology,[status(thm)],[])).
% 9.51/7.06 tff(29548,plain,
% 9.51/7.06 (~(v153(constB43) | v155(constB43))),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29547, 29546, 29371])).
% 9.51/7.06 tff(29549,plain,
% 9.51/7.06 ((~(v150(constB43) <=> (v153(constB43) | v155(constB43)))) | (~v150(constB43)) | (v153(constB43) | v155(constB43))),
% 9.51/7.06 inference(tautology,[status(thm)],[])).
% 9.51/7.06 tff(29550,plain,
% 9.51/7.06 (~v150(constB43)),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29549, 29548, 29298])).
% 9.51/7.06 tff(29551,plain,
% 9.51/7.06 ((~(v152(constB44) <=> v150(constB43))) | (~v152(constB44)) | v150(constB43)),
% 9.51/7.06 inference(tautology,[status(thm)],[])).
% 9.51/7.06 tff(29552,plain,
% 9.51/7.06 (~v152(constB44)),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29551, 29550, 29296])).
% 9.51/7.06 tff(29553,plain,
% 9.51/7.06 ((~(v130(constB44) <=> v152(constB44))) | (~v130(constB44)) | v152(constB44)),
% 9.51/7.06 inference(tautology,[status(thm)],[])).
% 9.51/7.06 tff(29554,plain,
% 9.51/7.06 (~v130(constB44)),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29553, 29552, 29292])).
% 9.51/7.06 tff(29555,plain,
% 9.51/7.06 (((~v130(constB44)) | (~v139(constB44))) | v130(constB44)),
% 9.51/7.06 inference(tautology,[status(thm)],[])).
% 9.51/7.06 tff(29556,plain,
% 9.51/7.06 ((~v130(constB44)) | (~v139(constB44))),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29555, 29554])).
% 9.51/7.06 tff(29557,plain,
% 9.51/7.06 ((~(v155(constB44) <=> (~((~v130(constB44)) | (~v139(constB44)))))) | (~v155(constB44)) | (~((~v130(constB44)) | (~v139(constB44))))),
% 9.51/7.06 inference(tautology,[status(thm)],[])).
% 9.51/7.06 tff(29558,plain,
% 9.51/7.06 (~v155(constB44)),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29557, 29556, 29290])).
% 9.51/7.06 tff(29559,plain,
% 9.51/7.06 ((~(v153(constB44) | v155(constB44))) | v153(constB44) | v155(constB44)),
% 9.51/7.06 inference(tautology,[status(thm)],[])).
% 9.51/7.06 tff(29560,plain,
% 9.51/7.06 (~(v153(constB44) | v155(constB44))),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29559, 29558, 29283])).
% 9.51/7.06 tff(29561,plain,
% 9.51/7.06 ((~(v150(constB44) <=> (v153(constB44) | v155(constB44)))) | (~v150(constB44)) | (v153(constB44) | v155(constB44))),
% 9.51/7.06 inference(tautology,[status(thm)],[])).
% 9.51/7.06 tff(29562,plain,
% 9.51/7.06 (~v150(constB44)),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29561, 29560, 29248])).
% 9.51/7.06 tff(29563,plain,
% 9.51/7.06 ((~(v152(constB45) <=> v150(constB44))) | (~v152(constB45)) | v150(constB44)),
% 9.51/7.06 inference(tautology,[status(thm)],[])).
% 9.51/7.06 tff(29564,plain,
% 9.51/7.06 (~v152(constB45)),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29563, 29562, 29246])).
% 9.51/7.06 tff(29565,plain,
% 9.51/7.06 ((~(v130(constB45) <=> v152(constB45))) | (~v130(constB45)) | v152(constB45)),
% 9.51/7.06 inference(tautology,[status(thm)],[])).
% 9.51/7.06 tff(29566,plain,
% 9.51/7.06 (~v130(constB45)),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29565, 29564, 29242])).
% 9.51/7.06 tff(29567,plain,
% 9.51/7.06 (((~v130(constB45)) | (~v154(constB45))) | v130(constB45)),
% 9.51/7.06 inference(tautology,[status(thm)],[])).
% 9.51/7.06 tff(29568,plain,
% 9.51/7.06 ((~v130(constB45)) | (~v154(constB45))),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29567, 29566])).
% 9.51/7.06 tff(29569,plain,
% 9.51/7.06 ((~(v164(constB45) <=> (~((~v130(constB45)) | (~v154(constB45)))))) | (~v164(constB45)) | (~((~v130(constB45)) | (~v154(constB45))))),
% 9.51/7.06 inference(tautology,[status(thm)],[])).
% 9.51/7.06 tff(29570,plain,
% 9.51/7.06 (~v164(constB45)),
% 9.51/7.06 inference(unit_resolution,[status(thm)],[29569, 29568, 29240])).
% 9.51/7.06 tff(29571,plain,
% 9.51/7.06 ((~(v163(constB45) | v164(constB45))) | v163(constB45) | v164(constB45)),
% 9.51/7.06 inference(tautology,[status(thm)],[])).
% 9.51/7.07 tff(29572,plain,
% 9.51/7.07 (~(v163(constB45) | v164(constB45))),
% 9.51/7.07 inference(unit_resolution,[status(thm)],[29571, 29570, 29233])).
% 9.51/7.07 tff(29573,plain,
% 9.51/7.07 ((~(v160(constB45) <=> (v163(constB45) | v164(constB45)))) | (~v160(constB45)) | (v163(constB45) | v164(constB45))),
% 9.51/7.07 inference(tautology,[status(thm)],[])).
% 9.51/7.07 tff(29574,plain,
% 9.51/7.07 (~v160(constB45)),
% 9.51/7.07 inference(unit_resolution,[status(thm)],[29573, 29572, 29160])).
% 9.51/7.07 tff(29575,plain,
% 9.51/7.07 ((~(v162(constB46) <=> v160(constB45))) | (~v162(constB46)) | v160(constB45)),
% 9.51/7.07 inference(tautology,[status(thm)],[])).
% 9.51/7.07 tff(29576,plain,
% 9.51/7.07 (~v162(constB46)),
% 9.51/7.07 inference(unit_resolution,[status(thm)],[29575, 29574, 29158])).
% 9.51/7.07 tff(29577,plain,
% 9.51/7.07 ((~(v128(constB46) <=> v162(constB46))) | (~v128(constB46)) | v162(constB46)),
% 9.51/7.07 inference(tautology,[status(thm)],[])).
% 9.51/7.07 tff(29578,plain,
% 9.51/7.07 (~v128(constB46)),
% 9.51/7.07 inference(unit_resolution,[status(thm)],[29577, 29576, 29154])).
% 9.51/7.07 tff(29579,plain,
% 9.51/7.07 (((~v128(constB46)) | (~v139(constB46))) | v128(constB46)),
% 9.51/7.07 inference(tautology,[status(thm)],[])).
% 9.51/7.07 tff(29580,plain,
% 9.51/7.07 ((~v128(constB46)) | (~v139(constB46))),
% 9.51/7.07 inference(unit_resolution,[status(thm)],[29579, 29578])).
% 9.51/7.07 tff(29581,plain,
% 9.51/7.07 ((~(v163(constB46) <=> (~((~v128(constB46)) | (~v139(constB46)))))) | (~v163(constB46)) | (~((~v128(constB46)) | (~v139(constB46))))),
% 9.51/7.07 inference(tautology,[status(thm)],[])).
% 9.51/7.07 tff(29582,plain,
% 9.51/7.07 (~v163(constB46)),
% 9.51/7.07 inference(unit_resolution,[status(thm)],[29581, 29580, 29152])).
% 9.51/7.07 tff(29583,plain,
% 9.51/7.07 ((~(v163(constB46) | v164(constB46))) | v163(constB46) | v164(constB46)),
% 9.51/7.07 inference(tautology,[status(thm)],[])).
% 9.51/7.07 tff(29584,plain,
% 9.51/7.07 (~(v163(constB46) | v164(constB46))),
% 9.51/7.07 inference(unit_resolution,[status(thm)],[29583, 29582, 29145])).
% 9.51/7.07 tff(29585,plain,
% 9.51/7.07 ((~(v160(constB46) <=> (v163(constB46) | v164(constB46)))) | (~v160(constB46)) | (v163(constB46) | v164(constB46))),
% 9.51/7.07 inference(tautology,[status(thm)],[])).
% 9.51/7.07 tff(29586,plain,
% 9.51/7.07 (~v160(constB46)),
% 9.51/7.07 inference(unit_resolution,[status(thm)],[29585, 29584, 29110])).
% 9.51/7.07 tff(29587,plain,
% 9.51/7.07 ((~(v162(constB47) <=> v160(constB46))) | (~v162(constB47)) | v160(constB46)),
% 9.51/7.07 inference(tautology,[status(thm)],[])).
% 9.51/7.07 tff(29588,plain,
% 9.51/7.07 (~v162(constB47)),
% 9.51/7.07 inference(unit_resolution,[status(thm)],[29587, 29586, 29108])).
% 9.51/7.07 tff(29589,plain,
% 9.51/7.07 ($false),
% 9.51/7.07 inference(unit_resolution,[status(thm)],[29588, 29104])).
% 9.51/7.07 tff(29590,plain,(~(constB47 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.51/7.07 tff(29591,assumption,(constB123 = VarCurr!0), introduced(assumption)).
% 9.51/7.07 tff(29592,plain,
% 9.51/7.07 (v162(constB123) <=> v162(VarCurr!0)),
% 9.51/7.07 inference(monotonicity,[status(thm)],[29591])).
% 9.51/7.07 tff(29593,plain,
% 9.51/7.07 (v162(VarCurr!0) <=> v162(constB123)),
% 9.51/7.07 inference(symmetry,[status(thm)],[29592])).
% 9.51/7.07 tff(29594,plain,
% 9.51/7.07 (v162(constB123)),
% 9.51/7.07 inference(modus_ponens,[status(thm)],[59, 29593])).
% 9.51/7.07 tff(29595,plain,
% 9.51/7.07 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB122, constB123)) | (v162(constB123) <=> v160(constB122)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB122, constB123)) | (v162(constB123) <=> v160(constB122)))),
% 9.51/7.07 inference(rewrite,[status(thm)],[])).
% 9.51/7.07 tff(29596,plain,
% 9.51/7.07 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB122, constB123)) | (v162(constB123) <=> v160(constB122)))),
% 9.51/7.07 inference(quant_inst,[status(thm)],[])).
% 9.51/7.07 tff(29597,plain,
% 9.51/7.07 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB122, constB123)) | (v162(constB123) <=> v160(constB122))),
% 9.51/7.07 inference(modus_ponens,[status(thm)],[29596, 29595])).
% 9.51/7.07 tff(29598,plain,
% 9.51/7.07 (v162(constB123) <=> v160(constB122)),
% 9.51/7.07 inference(unit_resolution,[status(thm)],[29597, 4169, 70])).
% 9.51/7.07 tff(29599,plain,
% 9.51/7.07 ((~![VarCurr: $i] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB122) <=> (v163(constB122) | v164(constB122)))),
% 9.51/7.07 inference(quant_inst,[status(thm)],[])).
% 9.51/7.07 tff(29600,plain,
% 9.51/7.07 (v160(constB122) <=> (v163(constB122) | v164(constB122))),
% 9.51/7.07 inference(unit_resolution,[status(thm)],[29599, 84])).
% 9.51/7.07 tff(29601,plain,
% 9.51/7.07 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB122) <=> (~((~v130(constB122)) | (~v154(constB122)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB122) <=> (~((~v130(constB122)) | (~v154(constB122))))))),
% 9.51/7.07 inference(rewrite,[status(thm)],[])).
% 9.51/7.07 tff(29602,plain,
% 9.51/7.07 ((v164(constB122) <=> (~((~v154(constB122)) | (~v130(constB122))))) <=> (v164(constB122) <=> (~((~v130(constB122)) | (~v154(constB122)))))),
% 9.51/7.07 inference(rewrite,[status(thm)],[])).
% 9.51/7.07 tff(29603,plain,
% 9.51/7.07 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB122) <=> (~((~v154(constB122)) | (~v130(constB122)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB122) <=> (~((~v130(constB122)) | (~v154(constB122))))))),
% 9.51/7.07 inference(monotonicity,[status(thm)],[29602])).
% 9.51/7.07 tff(29604,plain,
% 9.51/7.07 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB122) <=> (~((~v154(constB122)) | (~v130(constB122)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB122) <=> (~((~v130(constB122)) | (~v154(constB122))))))),
% 9.51/7.07 inference(transitivity,[status(thm)],[29603, 29601])).
% 9.51/7.07 tff(29605,plain,
% 9.51/7.07 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB122) <=> (~((~v154(constB122)) | (~v130(constB122)))))),
% 9.51/7.07 inference(quant_inst,[status(thm)],[])).
% 9.51/7.07 tff(29606,plain,
% 9.51/7.07 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB122) <=> (~((~v130(constB122)) | (~v154(constB122)))))),
% 9.51/7.07 inference(modus_ponens,[status(thm)],[29605, 29604])).
% 9.51/7.07 tff(29607,plain,
% 9.51/7.07 (v164(constB122) <=> (~((~v130(constB122)) | (~v154(constB122))))),
% 9.51/7.07 inference(unit_resolution,[status(thm)],[29606, 96])).
% 9.51/7.07 tff(29608,plain,
% 9.51/7.07 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB122) <=> (~((~v141(constB122)) | (~v143(constB122)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB122) <=> (~((~v141(constB122)) | (~v143(constB122))))))),
% 9.51/7.07 inference(rewrite,[status(thm)],[])).
% 9.51/7.07 tff(29609,plain,
% 9.51/7.07 ((v154(constB122) <=> (~((~v143(constB122)) | (~v141(constB122))))) <=> (v154(constB122) <=> (~((~v141(constB122)) | (~v143(constB122)))))),
% 9.51/7.07 inference(rewrite,[status(thm)],[])).
% 9.51/7.07 tff(29610,plain,
% 9.51/7.07 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB122) <=> (~((~v143(constB122)) | (~v141(constB122)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB122) <=> (~((~v141(constB122)) | (~v143(constB122))))))),
% 9.51/7.07 inference(monotonicity,[status(thm)],[29609])).
% 9.51/7.07 tff(29611,plain,
% 9.51/7.07 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB122) <=> (~((~v143(constB122)) | (~v141(constB122)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB122) <=> (~((~v141(constB122)) | (~v143(constB122))))))),
% 9.51/7.07 inference(transitivity,[status(thm)],[29610, 29608])).
% 9.51/7.07 tff(29612,plain,
% 9.51/7.07 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB122) <=> (~((~v143(constB122)) | (~v141(constB122)))))),
% 9.51/7.07 inference(quant_inst,[status(thm)],[])).
% 9.51/7.07 tff(29613,plain,
% 9.51/7.07 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB122) <=> (~((~v141(constB122)) | (~v143(constB122)))))),
% 9.51/7.07 inference(modus_ponens,[status(thm)],[29612, 29611])).
% 9.51/7.07 tff(29614,plain,
% 9.51/7.07 (v154(constB122) <=> (~((~v141(constB122)) | (~v143(constB122))))),
% 9.51/7.07 inference(unit_resolution,[status(thm)],[29613, 113])).
% 9.51/7.07 tff(29615,plain,
% 9.51/7.07 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB122) <=> (~((~v39(constB122)) | (~v9(constB122)))))),
% 9.51/7.07 inference(quant_inst,[status(thm)],[])).
% 9.51/7.07 tff(29616,plain,
% 9.51/7.07 (v141(constB122) <=> (~((~v39(constB122)) | (~v9(constB122))))),
% 9.51/7.07 inference(unit_resolution,[status(thm)],[29615, 130])).
% 9.51/7.07 tff(29617,plain,
% 9.51/7.07 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB122)) <=> v1(constB122))),
% 9.51/7.07 inference(quant_inst,[status(thm)],[])).
% 9.51/7.07 tff(29618,plain,
% 9.51/7.07 ((~v39(constB122)) <=> v1(constB122)),
% 9.51/7.07 inference(unit_resolution,[status(thm)],[29617, 139])).
% 9.51/7.07 tff(29619,plain,
% 9.51/7.07 ((~((~v39(constB122)) <=> v1(constB122))) | (~v39(constB122)) | (~v1(constB122))),
% 9.51/7.07 inference(tautology,[status(thm)],[])).
% 9.51/7.07 tff(29620,plain,
% 9.51/7.07 ((~((~v39(constB122)) <=> v1(constB122))) | (~v39(constB122))),
% 9.51/7.07 inference(unit_resolution,[status(thm)],[29619, 4231])).
% 9.51/7.07 tff(29621,plain,
% 9.51/7.07 (~v39(constB122)),
% 9.51/7.07 inference(unit_resolution,[status(thm)],[29620, 29618])).
% 9.51/7.07 tff(29622,plain,
% 9.51/7.07 (((~v39(constB122)) | (~v9(constB122))) | v39(constB122)),
% 9.51/7.07 inference(tautology,[status(thm)],[])).
% 9.51/7.07 tff(29623,plain,
% 9.51/7.07 ((~v39(constB122)) | (~v9(constB122))),
% 9.51/7.07 inference(unit_resolution,[status(thm)],[29622, 29621])).
% 9.51/7.07 tff(29624,plain,
% 9.51/7.07 ((~(v141(constB122) <=> (~((~v39(constB122)) | (~v9(constB122)))))) | (~v141(constB122)) | (~((~v39(constB122)) | (~v9(constB122))))),
% 9.51/7.07 inference(tautology,[status(thm)],[])).
% 9.51/7.07 tff(29625,plain,
% 9.51/7.07 ((~(v141(constB122) <=> (~((~v39(constB122)) | (~v9(constB122)))))) | (~v141(constB122))),
% 9.51/7.07 inference(unit_resolution,[status(thm)],[29624, 29623])).
% 9.51/7.07 tff(29626,plain,
% 9.51/7.07 (~v141(constB122)),
% 9.51/7.07 inference(unit_resolution,[status(thm)],[29625, 29616])).
% 9.51/7.07 tff(29627,plain,
% 9.51/7.07 (((~v141(constB122)) | (~v143(constB122))) | v141(constB122)),
% 9.51/7.07 inference(tautology,[status(thm)],[])).
% 9.51/7.07 tff(29628,plain,
% 9.51/7.07 ((~v141(constB122)) | (~v143(constB122))),
% 9.51/7.07 inference(unit_resolution,[status(thm)],[29627, 29626])).
% 9.51/7.07 tff(29629,plain,
% 9.51/7.07 ((~(v154(constB122) <=> (~((~v141(constB122)) | (~v143(constB122)))))) | (~v154(constB122)) | (~((~v141(constB122)) | (~v143(constB122))))),
% 9.51/7.07 inference(tautology,[status(thm)],[])).
% 9.51/7.07 tff(29630,plain,
% 9.51/7.07 ((~(v154(constB122) <=> (~((~v141(constB122)) | (~v143(constB122)))))) | (~v154(constB122))),
% 9.51/7.07 inference(unit_resolution,[status(thm)],[29629, 29628])).
% 9.51/7.07 tff(29631,plain,
% 9.51/7.07 (~v154(constB122)),
% 9.51/7.07 inference(unit_resolution,[status(thm)],[29630, 29614])).
% 9.51/7.07 tff(29632,plain,
% 9.51/7.07 (((~v130(constB122)) | (~v154(constB122))) | v154(constB122)),
% 9.51/7.07 inference(tautology,[status(thm)],[])).
% 9.51/7.07 tff(29633,plain,
% 9.51/7.07 ((~v130(constB122)) | (~v154(constB122))),
% 9.51/7.07 inference(unit_resolution,[status(thm)],[29632, 29631])).
% 9.51/7.07 tff(29634,plain,
% 9.51/7.07 ((~(v164(constB122) <=> (~((~v130(constB122)) | (~v154(constB122)))))) | (~v164(constB122)) | (~((~v130(constB122)) | (~v154(constB122))))),
% 9.51/7.07 inference(tautology,[status(thm)],[])).
% 9.51/7.07 tff(29635,plain,
% 9.51/7.07 (~v164(constB122)),
% 9.51/7.07 inference(unit_resolution,[status(thm)],[29634, 29633, 29607])).
% 9.51/7.07 tff(29636,plain,
% 9.51/7.07 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB122) <=> (~((~v128(constB122)) | (~v139(constB122)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB122) <=> (~((~v128(constB122)) | (~v139(constB122))))))),
% 9.51/7.07 inference(rewrite,[status(thm)],[])).
% 9.51/7.07 tff(29637,plain,
% 9.51/7.07 ((v163(constB122) <=> (~((~v139(constB122)) | (~v128(constB122))))) <=> (v163(constB122) <=> (~((~v128(constB122)) | (~v139(constB122)))))),
% 9.51/7.07 inference(rewrite,[status(thm)],[])).
% 9.51/7.07 tff(29638,plain,
% 9.51/7.07 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB122) <=> (~((~v139(constB122)) | (~v128(constB122)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB122) <=> (~((~v128(constB122)) | (~v139(constB122))))))),
% 9.51/7.07 inference(monotonicity,[status(thm)],[29637])).
% 9.51/7.07 tff(29639,plain,
% 9.51/7.07 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB122) <=> (~((~v139(constB122)) | (~v128(constB122)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB122) <=> (~((~v128(constB122)) | (~v139(constB122))))))),
% 9.51/7.07 inference(transitivity,[status(thm)],[29638, 29636])).
% 9.51/7.07 tff(29640,plain,
% 9.51/7.07 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB122) <=> (~((~v139(constB122)) | (~v128(constB122)))))),
% 9.51/7.07 inference(quant_inst,[status(thm)],[])).
% 9.51/7.07 tff(29641,plain,
% 9.51/7.07 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB122) <=> (~((~v128(constB122)) | (~v139(constB122)))))),
% 9.51/7.07 inference(modus_ponens,[status(thm)],[29640, 29639])).
% 9.51/7.07 tff(29642,plain,
% 9.51/7.07 (v163(constB122) <=> (~((~v128(constB122)) | (~v139(constB122))))),
% 9.51/7.07 inference(unit_resolution,[status(thm)],[29641, 171])).
% 9.51/7.07 tff(29643,plain,
% 9.51/7.07 ((~![VarNext: $i] : (v128(VarNext) <=> v162(VarNext))) | (v128(constB122) <=> v162(constB122))),
% 9.51/7.07 inference(quant_inst,[status(thm)],[])).
% 9.51/7.07 tff(29644,plain,
% 9.51/7.07 (v128(constB122) <=> v162(constB122)),
% 9.51/7.07 inference(unit_resolution,[status(thm)],[29643, 13])).
% 9.51/7.07 tff(29645,plain,
% 9.51/7.07 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB121, constB122)) | (v162(constB122) <=> v160(constB121)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB121, constB122)) | (v162(constB122) <=> v160(constB121)))),
% 9.51/7.07 inference(rewrite,[status(thm)],[])).
% 9.51/7.07 tff(29646,plain,
% 9.51/7.07 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB121, constB122)) | (v162(constB122) <=> v160(constB121)))),
% 9.51/7.07 inference(quant_inst,[status(thm)],[])).
% 9.51/7.07 tff(29647,plain,
% 9.51/7.07 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB121, constB122)) | (v162(constB122) <=> v160(constB121))),
% 9.51/7.07 inference(modus_ponens,[status(thm)],[29646, 29645])).
% 9.51/7.07 tff(29648,plain,
% 9.51/7.07 (v162(constB122) <=> v160(constB121)),
% 9.51/7.07 inference(unit_resolution,[status(thm)],[29647, 4201, 70])).
% 9.51/7.07 tff(29649,plain,
% 9.51/7.07 ((~![VarCurr: $i] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB121) <=> (v163(constB121) | v164(constB121)))),
% 9.51/7.07 inference(quant_inst,[status(thm)],[])).
% 9.51/7.07 tff(29650,plain,
% 9.51/7.07 (v160(constB121) <=> (v163(constB121) | v164(constB121))),
% 9.51/7.07 inference(unit_resolution,[status(thm)],[29649, 84])).
% 9.51/7.07 tff(29651,plain,
% 9.51/7.07 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB121) <=> (~((~v128(constB121)) | (~v139(constB121)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB121) <=> (~((~v128(constB121)) | (~v139(constB121))))))),
% 9.51/7.07 inference(rewrite,[status(thm)],[])).
% 9.51/7.07 tff(29652,plain,
% 9.51/7.07 ((v163(constB121) <=> (~((~v139(constB121)) | (~v128(constB121))))) <=> (v163(constB121) <=> (~((~v128(constB121)) | (~v139(constB121)))))),
% 9.51/7.07 inference(rewrite,[status(thm)],[])).
% 9.51/7.07 tff(29653,plain,
% 9.51/7.07 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB121) <=> (~((~v139(constB121)) | (~v128(constB121)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB121) <=> (~((~v128(constB121)) | (~v139(constB121))))))),
% 9.51/7.07 inference(monotonicity,[status(thm)],[29652])).
% 9.51/7.07 tff(29654,plain,
% 9.51/7.07 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB121) <=> (~((~v139(constB121)) | (~v128(constB121)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB121) <=> (~((~v128(constB121)) | (~v139(constB121))))))),
% 9.51/7.07 inference(transitivity,[status(thm)],[29653, 29651])).
% 9.51/7.07 tff(29655,plain,
% 9.51/7.07 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB121) <=> (~((~v139(constB121)) | (~v128(constB121)))))),
% 9.51/7.07 inference(quant_inst,[status(thm)],[])).
% 9.51/7.07 tff(29656,plain,
% 9.51/7.07 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB121) <=> (~((~v128(constB121)) | (~v139(constB121)))))),
% 9.51/7.07 inference(modus_ponens,[status(thm)],[29655, 29654])).
% 9.51/7.07 tff(29657,plain,
% 9.51/7.07 (v163(constB121) <=> (~((~v128(constB121)) | (~v139(constB121))))),
% 9.51/7.07 inference(unit_resolution,[status(thm)],[29656, 171])).
% 9.51/7.07 tff(29658,plain,
% 9.51/7.07 ((~![VarCurr: $i] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB121)) <=> v140(constB121))),
% 9.51/7.07 inference(quant_inst,[status(thm)],[])).
% 9.51/7.07 tff(29659,plain,
% 9.51/7.07 ((~v139(constB121)) <=> v140(constB121)),
% 9.51/7.07 inference(unit_resolution,[status(thm)],[29658, 203])).
% 9.51/7.07 tff(29660,plain,
% 9.51/7.07 ((~![VarCurr: $i] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB121) <=> (v141(constB121) | v26(constB121)))),
% 9.51/7.07 inference(quant_inst,[status(thm)],[])).
% 9.51/7.07 tff(29661,plain,
% 9.51/7.07 (v140(constB121) <=> (v141(constB121) | v26(constB121))),
% 9.51/7.07 inference(unit_resolution,[status(thm)],[29660, 212])).
% 9.51/7.07 tff(29662,plain,
% 9.51/7.07 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB121) <=> (~((~v39(constB121)) | (~v9(constB121)))))),
% 9.51/7.07 inference(quant_inst,[status(thm)],[])).
% 9.51/7.07 tff(29663,plain,
% 9.51/7.07 (v141(constB121) <=> (~((~v39(constB121)) | (~v9(constB121))))),
% 9.51/7.07 inference(unit_resolution,[status(thm)],[29662, 130])).
% 9.51/7.07 tff(29664,plain,
% 9.51/7.07 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB121, constB122)) | (v13(constB122) <=> v9(constB121)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB121, constB122)) | (v13(constB122) <=> v9(constB121)))),
% 9.51/7.07 inference(rewrite,[status(thm)],[])).
% 9.51/7.07 tff(29665,plain,
% 9.51/7.07 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB121, constB122)) | (v13(constB122) <=> v9(constB121)))),
% 9.51/7.07 inference(quant_inst,[status(thm)],[])).
% 9.51/7.07 tff(29666,plain,
% 9.51/7.07 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB121, constB122)) | (v13(constB122) <=> v9(constB121))),
% 9.51/7.07 inference(modus_ponens,[status(thm)],[29665, 29664])).
% 9.51/7.07 tff(29667,plain,
% 9.51/7.07 (v13(constB122) <=> v9(constB121)),
% 9.51/7.07 inference(unit_resolution,[status(thm)],[29666, 4201, 226])).
% 9.51/7.07 tff(29668,plain,
% 9.51/7.07 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB122) <=> v13(constB122))),
% 9.51/7.07 inference(quant_inst,[status(thm)],[])).
% 9.51/7.07 tff(29669,plain,
% 9.51/7.07 (v6(constB122) <=> v13(constB122)),
% 9.51/7.07 inference(unit_resolution,[status(thm)],[29668, 240])).
% 9.51/7.07 tff(29670,plain,
% 9.51/7.07 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB122)) <=> v6(constB122))),
% 9.51/7.07 inference(quant_inst,[status(thm)],[])).
% 9.51/7.07 tff(29671,plain,
% 9.51/7.07 ((~v21(constB122)) <=> v6(constB122)),
% 9.51/7.07 inference(unit_resolution,[status(thm)],[29670, 249])).
% 9.51/7.07 tff(29672,plain,
% 9.51/7.07 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB122) <=> (v20(constB122) | v21(constB122)))),
% 9.51/7.07 inference(quant_inst,[status(thm)],[])).
% 9.51/7.07 tff(29673,plain,
% 9.51/7.07 (v19(constB122) <=> (v20(constB122) | v21(constB122))),
% 9.51/7.07 inference(unit_resolution,[status(thm)],[29672, 258])).
% 9.51/7.07 tff(29674,plain,
% 9.51/7.07 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB122) <=> (~((~v19(constB122)) | (~v22(constB122)))))),
% 9.51/7.07 inference(quant_inst,[status(thm)],[])).
% 9.51/7.07 tff(29675,plain,
% 9.51/7.07 (v18(constB122) <=> (~((~v19(constB122)) | (~v22(constB122))))),
% 9.51/7.07 inference(unit_resolution,[status(thm)],[29674, 270])).
% 9.51/7.07 tff(29676,plain,
% 9.51/7.07 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB122)) <=> v18(constB122))),
% 9.51/7.07 inference(quant_inst,[status(thm)],[])).
% 9.51/7.07 tff(29677,plain,
% 9.51/7.07 ((~v4(constB122)) <=> v18(constB122)),
% 9.51/7.07 inference(unit_resolution,[status(thm)],[29676, 279])).
% 9.51/7.07 tff(29678,plain,
% 9.51/7.07 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB122)),
% 9.51/7.07 inference(quant_inst,[status(thm)],[])).
% 9.51/7.07 tff(29679,plain,
% 9.51/7.07 (v4(constB122)),
% 9.51/7.07 inference(unit_resolution,[status(thm)],[29678, 288])).
% 9.51/7.07 tff(29680,plain,
% 9.51/7.07 ((~((~v4(constB122)) <=> v18(constB122))) | (~v4(constB122)) | (~v18(constB122))),
% 9.51/7.07 inference(tautology,[status(thm)],[])).
% 9.51/7.07 tff(29681,plain,
% 9.51/7.07 (~v18(constB122)),
% 9.51/7.07 inference(unit_resolution,[status(thm)],[29680, 29679, 29677])).
% 9.51/7.07 tff(29682,plain,
% 9.51/7.07 ((~(v18(constB122) <=> (~((~v19(constB122)) | (~v22(constB122)))))) | v18(constB122) | ((~v19(constB122)) | (~v22(constB122)))),
% 9.51/7.07 inference(tautology,[status(thm)],[])).
% 9.51/7.07 tff(29683,plain,
% 9.51/7.07 ((~v19(constB122)) | (~v22(constB122))),
% 9.51/7.07 inference(unit_resolution,[status(thm)],[29682, 29681, 29675])).
% 9.51/7.07 tff(29684,plain,
% 9.51/7.07 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB122) <=> (v1(constB122) | v6(constB122)))),
% 9.51/7.07 inference(quant_inst,[status(thm)],[])).
% 9.51/7.07 tff(29685,plain,
% 9.51/7.07 (v22(constB122) <=> (v1(constB122) | v6(constB122))),
% 9.51/7.07 inference(unit_resolution,[status(thm)],[29684, 301])).
% 9.51/7.07 tff(29686,plain,
% 9.51/7.07 ((v1(constB122) | v6(constB122)) | (~v1(constB122))),
% 9.51/7.07 inference(tautology,[status(thm)],[])).
% 9.51/7.07 tff(29687,plain,
% 9.51/7.07 (v1(constB122) | v6(constB122)),
% 9.51/7.07 inference(unit_resolution,[status(thm)],[29686, 4231])).
% 9.51/7.07 tff(29688,plain,
% 9.51/7.07 ((~(v22(constB122) <=> (v1(constB122) | v6(constB122)))) | v22(constB122) | (~(v1(constB122) | v6(constB122)))),
% 9.51/7.07 inference(tautology,[status(thm)],[])).
% 9.51/7.07 tff(29689,plain,
% 9.51/7.07 ((~(v22(constB122) <=> (v1(constB122) | v6(constB122)))) | v22(constB122)),
% 9.51/7.07 inference(unit_resolution,[status(thm)],[29688, 29687])).
% 9.51/7.07 tff(29690,plain,
% 9.51/7.07 (v22(constB122)),
% 9.51/7.07 inference(unit_resolution,[status(thm)],[29689, 29685])).
% 9.51/7.07 tff(29691,plain,
% 9.51/7.07 ((~((~v19(constB122)) | (~v22(constB122)))) | (~v19(constB122)) | (~v22(constB122))),
% 9.51/7.07 inference(tautology,[status(thm)],[])).
% 9.51/7.07 tff(29692,plain,
% 9.51/7.07 ((~((~v19(constB122)) | (~v22(constB122)))) | (~v19(constB122))),
% 9.51/7.07 inference(unit_resolution,[status(thm)],[29691, 29690])).
% 9.51/7.07 tff(29693,plain,
% 9.51/7.07 (~v19(constB122)),
% 9.51/7.07 inference(unit_resolution,[status(thm)],[29692, 29683])).
% 9.51/7.07 tff(29694,plain,
% 9.51/7.07 ((~(v19(constB122) <=> (v20(constB122) | v21(constB122)))) | v19(constB122) | (~(v20(constB122) | v21(constB122)))),
% 9.51/7.07 inference(tautology,[status(thm)],[])).
% 9.51/7.07 tff(29695,plain,
% 9.51/7.07 (~(v20(constB122) | v21(constB122))),
% 9.51/7.07 inference(unit_resolution,[status(thm)],[29694, 29693, 29673])).
% 9.51/7.07 tff(29696,plain,
% 9.51/7.07 ((v20(constB122) | v21(constB122)) | (~v21(constB122))),
% 9.51/7.07 inference(tautology,[status(thm)],[])).
% 9.51/7.07 tff(29697,plain,
% 9.51/7.07 (~v21(constB122)),
% 9.51/7.07 inference(unit_resolution,[status(thm)],[29696, 29695])).
% 9.51/7.07 tff(29698,plain,
% 9.51/7.07 ((~((~v21(constB122)) <=> v6(constB122))) | v21(constB122) | v6(constB122)),
% 9.51/7.07 inference(tautology,[status(thm)],[])).
% 9.51/7.07 tff(29699,plain,
% 9.51/7.07 (v6(constB122)),
% 9.51/7.07 inference(unit_resolution,[status(thm)],[29698, 29697, 29671])).
% 9.51/7.07 tff(29700,plain,
% 9.51/7.07 ((~(v6(constB122) <=> v13(constB122))) | (~v6(constB122)) | v13(constB122)),
% 9.51/7.07 inference(tautology,[status(thm)],[])).
% 9.51/7.07 tff(29701,plain,
% 9.51/7.07 (v13(constB122)),
% 9.51/7.07 inference(unit_resolution,[status(thm)],[29700, 29699, 29669])).
% 9.51/7.07 tff(29702,plain,
% 9.51/7.07 ((~(v13(constB122) <=> v9(constB121))) | (~v13(constB122)) | v9(constB121)),
% 9.51/7.07 inference(tautology,[status(thm)],[])).
% 9.51/7.07 tff(29703,plain,
% 9.51/7.07 (v9(constB121)),
% 9.51/7.07 inference(unit_resolution,[status(thm)],[29702, 29701, 29667])).
% 9.51/7.07 tff(29704,plain,
% 9.51/7.07 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB121)) <=> v1(constB121))),
% 9.51/7.07 inference(quant_inst,[status(thm)],[])).
% 9.51/7.07 tff(29705,plain,
% 9.51/7.07 ((~v39(constB121)) <=> v1(constB121)),
% 9.51/7.07 inference(unit_resolution,[status(thm)],[29704, 139])).
% 9.51/7.07 tff(29706,plain,
% 9.51/7.07 ((~((~v39(constB121)) <=> v1(constB121))) | v39(constB121) | v1(constB121)),
% 9.51/7.07 inference(tautology,[status(thm)],[])).
% 9.51/7.07 tff(29707,plain,
% 9.51/7.07 ((~((~v39(constB121)) <=> v1(constB121))) | v39(constB121)),
% 9.51/7.07 inference(unit_resolution,[status(thm)],[29706, 4223])).
% 9.51/7.07 tff(29708,plain,
% 9.51/7.07 (v39(constB121)),
% 9.51/7.07 inference(unit_resolution,[status(thm)],[29707, 29705])).
% 9.51/7.07 tff(29709,plain,
% 9.51/7.07 ((~((~v39(constB121)) | (~v9(constB121)))) | (~v39(constB121)) | (~v9(constB121))),
% 9.51/7.07 inference(tautology,[status(thm)],[])).
% 9.51/7.07 tff(29710,plain,
% 9.51/7.07 ((~((~v39(constB121)) | (~v9(constB121)))) | (~v9(constB121))),
% 9.51/7.07 inference(unit_resolution,[status(thm)],[29709, 29708])).
% 9.51/7.07 tff(29711,plain,
% 9.51/7.07 (~((~v39(constB121)) | (~v9(constB121)))),
% 9.51/7.07 inference(unit_resolution,[status(thm)],[29710, 29703])).
% 9.51/7.07 tff(29712,plain,
% 9.51/7.07 ((~(v141(constB121) <=> (~((~v39(constB121)) | (~v9(constB121)))))) | v141(constB121) | ((~v39(constB121)) | (~v9(constB121)))),
% 9.51/7.07 inference(tautology,[status(thm)],[])).
% 9.51/7.07 tff(29713,plain,
% 9.51/7.07 (v141(constB121)),
% 9.51/7.07 inference(unit_resolution,[status(thm)],[29712, 29711, 29663])).
% 9.51/7.07 tff(29714,plain,
% 9.51/7.07 ((v141(constB121) | v26(constB121)) | (~v141(constB121))),
% 9.51/7.07 inference(tautology,[status(thm)],[])).
% 9.51/7.07 tff(29715,plain,
% 9.51/7.07 (v141(constB121) | v26(constB121)),
% 9.51/7.07 inference(unit_resolution,[status(thm)],[29714, 29713])).
% 9.51/7.07 tff(29716,plain,
% 9.51/7.07 ((~(v140(constB121) <=> (v141(constB121) | v26(constB121)))) | v140(constB121) | (~(v141(constB121) | v26(constB121)))),
% 9.51/7.07 inference(tautology,[status(thm)],[])).
% 9.51/7.07 tff(29717,plain,
% 9.51/7.07 (v140(constB121)),
% 9.51/7.07 inference(unit_resolution,[status(thm)],[29716, 29715, 29661])).
% 9.51/7.07 tff(29718,plain,
% 9.51/7.07 ((~((~v139(constB121)) <=> v140(constB121))) | (~v139(constB121)) | (~v140(constB121))),
% 9.51/7.07 inference(tautology,[status(thm)],[])).
% 9.51/7.07 tff(29719,plain,
% 9.51/7.07 (~v139(constB121)),
% 9.51/7.07 inference(unit_resolution,[status(thm)],[29718, 29717, 29659])).
% 9.51/7.07 tff(29720,plain,
% 9.51/7.07 (((~v128(constB121)) | (~v139(constB121))) | v139(constB121)),
% 9.51/7.07 inference(tautology,[status(thm)],[])).
% 9.51/7.07 tff(29721,plain,
% 9.51/7.07 ((~v128(constB121)) | (~v139(constB121))),
% 9.51/7.07 inference(unit_resolution,[status(thm)],[29720, 29719])).
% 9.51/7.07 tff(29722,plain,
% 9.51/7.07 ((~(v163(constB121) <=> (~((~v128(constB121)) | (~v139(constB121)))))) | (~v163(constB121)) | (~((~v128(constB121)) | (~v139(constB121))))),
% 9.51/7.07 inference(tautology,[status(thm)],[])).
% 9.51/7.07 tff(29723,plain,
% 9.51/7.07 (~v163(constB121)),
% 9.51/7.07 inference(unit_resolution,[status(thm)],[29722, 29721, 29657])).
% 9.51/7.07 tff(29724,plain,
% 9.51/7.07 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB121) <=> (~((~v130(constB121)) | (~v154(constB121)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB121) <=> (~((~v130(constB121)) | (~v154(constB121))))))),
% 9.51/7.07 inference(rewrite,[status(thm)],[])).
% 9.51/7.07 tff(29725,plain,
% 9.51/7.07 ((v164(constB121) <=> (~((~v154(constB121)) | (~v130(constB121))))) <=> (v164(constB121) <=> (~((~v130(constB121)) | (~v154(constB121)))))),
% 9.51/7.07 inference(rewrite,[status(thm)],[])).
% 9.51/7.07 tff(29726,plain,
% 9.51/7.07 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB121) <=> (~((~v154(constB121)) | (~v130(constB121)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB121) <=> (~((~v130(constB121)) | (~v154(constB121))))))),
% 9.51/7.07 inference(monotonicity,[status(thm)],[29725])).
% 9.51/7.07 tff(29727,plain,
% 9.51/7.07 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB121) <=> (~((~v154(constB121)) | (~v130(constB121)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB121) <=> (~((~v130(constB121)) | (~v154(constB121))))))),
% 9.51/7.07 inference(transitivity,[status(thm)],[29726, 29724])).
% 9.51/7.07 tff(29728,plain,
% 9.51/7.07 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB121) <=> (~((~v154(constB121)) | (~v130(constB121)))))),
% 9.51/7.07 inference(quant_inst,[status(thm)],[])).
% 9.51/7.07 tff(29729,plain,
% 9.51/7.07 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB121) <=> (~((~v130(constB121)) | (~v154(constB121)))))),
% 9.51/7.07 inference(modus_ponens,[status(thm)],[29728, 29727])).
% 9.51/7.07 tff(29730,plain,
% 9.51/7.07 (v164(constB121) <=> (~((~v130(constB121)) | (~v154(constB121))))),
% 9.51/7.07 inference(unit_resolution,[status(thm)],[29729, 96])).
% 9.51/7.07 tff(29731,plain,
% 9.51/7.07 ((~![VarNext: $i] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB121) <=> v152(constB121))),
% 9.51/7.07 inference(quant_inst,[status(thm)],[])).
% 9.51/7.07 tff(29732,plain,
% 9.51/7.07 (v130(constB121) <=> v152(constB121)),
% 9.51/7.07 inference(unit_resolution,[status(thm)],[29731, 361])).
% 9.51/7.07 tff(29733,plain,
% 9.51/7.07 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB120, constB121)) | (v152(constB121) <=> v150(constB120)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB120, constB121)) | (v152(constB121) <=> v150(constB120)))),
% 9.51/7.07 inference(rewrite,[status(thm)],[])).
% 9.51/7.07 tff(29734,plain,
% 9.51/7.07 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB120, constB121)) | (v152(constB121) <=> v150(constB120)))),
% 9.51/7.07 inference(quant_inst,[status(thm)],[])).
% 9.51/7.07 tff(29735,plain,
% 9.51/7.07 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB120, constB121)) | (v152(constB121) <=> v150(constB120))),
% 9.51/7.07 inference(modus_ponens,[status(thm)],[29734, 29733])).
% 9.51/7.07 tff(29736,plain,
% 9.51/7.07 (v152(constB121) <=> v150(constB120)),
% 9.51/7.07 inference(unit_resolution,[status(thm)],[29735, 4256, 373])).
% 9.51/7.07 tff(29737,plain,
% 9.51/7.07 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v153(VarCurr) | v155(VarCurr)))) | (v150(constB120) <=> (v153(constB120) | v155(constB120)))),
% 9.51/7.07 inference(quant_inst,[status(thm)],[])).
% 9.51/7.07 tff(29738,plain,
% 9.51/7.07 (v150(constB120) <=> (v153(constB120) | v155(constB120))),
% 9.51/7.07 inference(unit_resolution,[status(thm)],[29737, 387])).
% 9.51/7.07 tff(29739,plain,
% 9.51/7.07 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB120) <=> (~((~v132(constB120)) | (~v154(constB120)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB120) <=> (~((~v132(constB120)) | (~v154(constB120))))))),
% 9.51/7.07 inference(rewrite,[status(thm)],[])).
% 9.51/7.07 tff(29740,plain,
% 9.51/7.07 ((v153(constB120) <=> (~((~v154(constB120)) | (~v132(constB120))))) <=> (v153(constB120) <=> (~((~v132(constB120)) | (~v154(constB120)))))),
% 9.51/7.07 inference(rewrite,[status(thm)],[])).
% 9.51/7.07 tff(29741,plain,
% 9.51/7.07 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB120) <=> (~((~v154(constB120)) | (~v132(constB120)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB120) <=> (~((~v132(constB120)) | (~v154(constB120))))))),
% 9.51/7.07 inference(monotonicity,[status(thm)],[29740])).
% 9.51/7.07 tff(29742,plain,
% 9.51/7.07 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB120) <=> (~((~v154(constB120)) | (~v132(constB120)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB120) <=> (~((~v132(constB120)) | (~v154(constB120))))))),
% 9.51/7.07 inference(transitivity,[status(thm)],[29741, 29739])).
% 9.51/7.07 tff(29743,plain,
% 9.51/7.07 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB120) <=> (~((~v154(constB120)) | (~v132(constB120)))))),
% 9.51/7.07 inference(quant_inst,[status(thm)],[])).
% 9.51/7.07 tff(29744,plain,
% 9.51/7.07 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB120) <=> (~((~v132(constB120)) | (~v154(constB120)))))),
% 9.51/7.07 inference(modus_ponens,[status(thm)],[29743, 29742])).
% 9.51/7.07 tff(29745,plain,
% 9.51/7.07 (v153(constB120) <=> (~((~v132(constB120)) | (~v154(constB120))))),
% 9.51/7.07 inference(unit_resolution,[status(thm)],[29744, 399])).
% 9.51/7.07 tff(29746,plain,
% 9.51/7.07 (((~v132(constB120)) | (~v154(constB120))) | v154(constB120)),
% 9.51/7.07 inference(tautology,[status(thm)],[])).
% 9.51/7.07 tff(29747,plain,
% 9.51/7.07 ((~v132(constB120)) | (~v154(constB120))),
% 9.51/7.07 inference(unit_resolution,[status(thm)],[29746, 26665])).
% 9.51/7.07 tff(29748,plain,
% 9.51/7.07 ((~(v153(constB120) <=> (~((~v132(constB120)) | (~v154(constB120)))))) | (~v153(constB120)) | (~((~v132(constB120)) | (~v154(constB120))))),
% 9.51/7.07 inference(tautology,[status(thm)],[])).
% 9.51/7.07 tff(29749,plain,
% 9.51/7.07 (~v153(constB120)),
% 9.51/7.07 inference(unit_resolution,[status(thm)],[29748, 29747, 29745])).
% 9.51/7.07 tff(29750,plain,
% 9.51/7.07 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB120) <=> (~((~v130(constB120)) | (~v139(constB120)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB120) <=> (~((~v130(constB120)) | (~v139(constB120))))))),
% 9.51/7.07 inference(rewrite,[status(thm)],[])).
% 9.51/7.07 tff(29751,plain,
% 9.51/7.07 ((v155(constB120) <=> (~((~v139(constB120)) | (~v130(constB120))))) <=> (v155(constB120) <=> (~((~v130(constB120)) | (~v139(constB120)))))),
% 9.51/7.07 inference(rewrite,[status(thm)],[])).
% 9.51/7.07 tff(29752,plain,
% 9.51/7.07 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB120) <=> (~((~v139(constB120)) | (~v130(constB120)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB120) <=> (~((~v130(constB120)) | (~v139(constB120))))))),
% 9.51/7.07 inference(monotonicity,[status(thm)],[29751])).
% 9.51/7.07 tff(29753,plain,
% 9.51/7.07 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB120) <=> (~((~v139(constB120)) | (~v130(constB120)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB120) <=> (~((~v130(constB120)) | (~v139(constB120))))))),
% 9.51/7.07 inference(transitivity,[status(thm)],[29752, 29750])).
% 9.51/7.07 tff(29754,plain,
% 9.51/7.07 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB120) <=> (~((~v139(constB120)) | (~v130(constB120)))))),
% 9.51/7.07 inference(quant_inst,[status(thm)],[])).
% 9.51/7.07 tff(29755,plain,
% 9.51/7.07 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB120) <=> (~((~v130(constB120)) | (~v139(constB120)))))),
% 9.51/7.07 inference(modus_ponens,[status(thm)],[29754, 29753])).
% 9.51/7.07 tff(29756,plain,
% 9.51/7.07 (v155(constB120) <=> (~((~v130(constB120)) | (~v139(constB120))))),
% 9.51/7.07 inference(unit_resolution,[status(thm)],[29755, 447])).
% 9.51/7.07 tff(29757,plain,
% 9.51/7.07 ((~![VarNext: $i] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB120) <=> v152(constB120))),
% 9.51/7.07 inference(quant_inst,[status(thm)],[])).
% 9.51/7.07 tff(29758,plain,
% 9.51/7.07 (v130(constB120) <=> v152(constB120)),
% 9.51/7.07 inference(unit_resolution,[status(thm)],[29757, 361])).
% 9.51/7.07 tff(29759,plain,
% 9.51/7.07 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB119, constB120)) | (v152(constB120) <=> v150(constB119)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB119, constB120)) | (v152(constB120) <=> v150(constB119)))),
% 9.51/7.07 inference(rewrite,[status(thm)],[])).
% 9.51/7.07 tff(29760,plain,
% 9.51/7.07 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB119, constB120)) | (v152(constB120) <=> v150(constB119)))),
% 9.51/7.07 inference(quant_inst,[status(thm)],[])).
% 9.51/7.07 tff(29761,plain,
% 9.51/7.07 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB119, constB120)) | (v152(constB120) <=> v150(constB119))),
% 9.51/7.07 inference(modus_ponens,[status(thm)],[29760, 29759])).
% 9.51/7.07 tff(29762,plain,
% 9.51/7.07 (v152(constB120) <=> v150(constB119)),
% 9.51/7.07 inference(unit_resolution,[status(thm)],[29761, 4288, 373])).
% 9.51/7.07 tff(29763,plain,
% 9.51/7.07 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v153(VarCurr) | v155(VarCurr)))) | (v150(constB119) <=> (v153(constB119) | v155(constB119)))),
% 9.51/7.07 inference(quant_inst,[status(thm)],[])).
% 9.51/7.07 tff(29764,plain,
% 9.51/7.07 (v150(constB119) <=> (v153(constB119) | v155(constB119))),
% 9.51/7.07 inference(unit_resolution,[status(thm)],[29763, 387])).
% 9.51/7.07 tff(29765,plain,
% 9.51/7.07 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB119) <=> (~((~v130(constB119)) | (~v139(constB119)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB119) <=> (~((~v130(constB119)) | (~v139(constB119))))))),
% 9.51/7.07 inference(rewrite,[status(thm)],[])).
% 9.51/7.07 tff(29766,plain,
% 9.51/7.07 ((v155(constB119) <=> (~((~v139(constB119)) | (~v130(constB119))))) <=> (v155(constB119) <=> (~((~v130(constB119)) | (~v139(constB119)))))),
% 9.51/7.07 inference(rewrite,[status(thm)],[])).
% 9.51/7.07 tff(29767,plain,
% 9.51/7.07 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB119) <=> (~((~v139(constB119)) | (~v130(constB119)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB119) <=> (~((~v130(constB119)) | (~v139(constB119))))))),
% 9.51/7.07 inference(monotonicity,[status(thm)],[29766])).
% 9.51/7.07 tff(29768,plain,
% 9.51/7.07 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB119) <=> (~((~v139(constB119)) | (~v130(constB119)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB119) <=> (~((~v130(constB119)) | (~v139(constB119))))))),
% 9.51/7.07 inference(transitivity,[status(thm)],[29767, 29765])).
% 9.51/7.07 tff(29769,plain,
% 9.51/7.07 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB119) <=> (~((~v139(constB119)) | (~v130(constB119)))))),
% 9.51/7.07 inference(quant_inst,[status(thm)],[])).
% 9.51/7.07 tff(29770,plain,
% 9.51/7.07 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB119) <=> (~((~v130(constB119)) | (~v139(constB119)))))),
% 9.51/7.07 inference(modus_ponens,[status(thm)],[29769, 29768])).
% 9.51/7.07 tff(29771,plain,
% 9.51/7.07 (v155(constB119) <=> (~((~v130(constB119)) | (~v139(constB119))))),
% 9.51/7.07 inference(unit_resolution,[status(thm)],[29770, 447])).
% 9.51/7.07 tff(29772,plain,
% 9.51/7.07 (((~v130(constB119)) | (~v139(constB119))) | v139(constB119)),
% 9.51/7.07 inference(tautology,[status(thm)],[])).
% 9.51/7.07 tff(29773,plain,
% 9.51/7.07 ((~v130(constB119)) | (~v139(constB119))),
% 9.51/7.07 inference(unit_resolution,[status(thm)],[29772, 26753])).
% 9.51/7.07 tff(29774,plain,
% 9.51/7.07 ((~(v155(constB119) <=> (~((~v130(constB119)) | (~v139(constB119)))))) | (~v155(constB119)) | (~((~v130(constB119)) | (~v139(constB119))))),
% 9.51/7.07 inference(tautology,[status(thm)],[])).
% 9.51/7.07 tff(29775,plain,
% 9.51/7.07 (~v155(constB119)),
% 9.51/7.07 inference(unit_resolution,[status(thm)],[29774, 29773, 29771])).
% 9.51/7.07 tff(29776,plain,
% 9.51/7.07 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB119) <=> (~((~v132(constB119)) | (~v154(constB119)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB119) <=> (~((~v132(constB119)) | (~v154(constB119))))))),
% 9.51/7.07 inference(rewrite,[status(thm)],[])).
% 9.51/7.07 tff(29777,plain,
% 9.51/7.07 ((v153(constB119) <=> (~((~v154(constB119)) | (~v132(constB119))))) <=> (v153(constB119) <=> (~((~v132(constB119)) | (~v154(constB119)))))),
% 9.51/7.07 inference(rewrite,[status(thm)],[])).
% 9.51/7.07 tff(29778,plain,
% 9.51/7.07 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB119) <=> (~((~v154(constB119)) | (~v132(constB119)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB119) <=> (~((~v132(constB119)) | (~v154(constB119))))))),
% 9.51/7.07 inference(monotonicity,[status(thm)],[29777])).
% 9.51/7.07 tff(29779,plain,
% 9.51/7.07 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB119) <=> (~((~v154(constB119)) | (~v132(constB119)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB119) <=> (~((~v132(constB119)) | (~v154(constB119))))))),
% 9.51/7.07 inference(transitivity,[status(thm)],[29778, 29776])).
% 9.51/7.07 tff(29780,plain,
% 9.51/7.07 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB119) <=> (~((~v154(constB119)) | (~v132(constB119)))))),
% 9.51/7.07 inference(quant_inst,[status(thm)],[])).
% 9.51/7.07 tff(29781,plain,
% 9.51/7.07 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB119) <=> (~((~v132(constB119)) | (~v154(constB119)))))),
% 9.51/7.07 inference(modus_ponens,[status(thm)],[29780, 29779])).
% 9.51/7.07 tff(29782,plain,
% 9.51/7.07 (v153(constB119) <=> (~((~v132(constB119)) | (~v154(constB119))))),
% 9.51/7.07 inference(unit_resolution,[status(thm)],[29781, 399])).
% 9.51/7.08 tff(29783,plain,
% 9.51/7.08 ((~![VarNext: $i] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB119) <=> v137(constB119))),
% 9.51/7.08 inference(quant_inst,[status(thm)],[])).
% 9.51/7.08 tff(29784,plain,
% 9.51/7.08 (v132(constB119) <=> v137(constB119)),
% 9.51/7.08 inference(unit_resolution,[status(thm)],[29783, 558])).
% 9.51/7.08 tff(29785,plain,
% 9.51/7.08 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB118, constB119)) | (v137(constB119) <=> v135(constB118)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB118, constB119)) | (v137(constB119) <=> v135(constB118)))),
% 9.51/7.08 inference(rewrite,[status(thm)],[])).
% 9.51/7.08 tff(29786,plain,
% 9.51/7.08 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB118, constB119)) | (v137(constB119) <=> v135(constB118)))),
% 9.51/7.08 inference(quant_inst,[status(thm)],[])).
% 9.51/7.08 tff(29787,plain,
% 9.51/7.08 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB118, constB119)) | (v137(constB119) <=> v135(constB118))),
% 9.51/7.08 inference(modus_ponens,[status(thm)],[29786, 29785])).
% 9.51/7.08 tff(29788,plain,
% 9.51/7.08 (v137(constB119) <=> v135(constB118)),
% 9.51/7.08 inference(unit_resolution,[status(thm)],[29787, 4345, 570])).
% 9.51/7.08 tff(29789,plain,
% 9.51/7.08 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB118) <=> (v138(constB118) | v142(constB118)))),
% 9.51/7.08 inference(quant_inst,[status(thm)],[])).
% 9.51/7.08 tff(29790,plain,
% 9.51/7.08 (v135(constB118) <=> (v138(constB118) | v142(constB118))),
% 9.51/7.08 inference(unit_resolution,[status(thm)],[29789, 584])).
% 9.51/7.08 tff(29791,plain,
% 9.51/7.08 ((~![VarCurr: $i] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB118) <=> (~((~v143(constB118)) | (~v144(constB118)))))),
% 9.51/7.08 inference(quant_inst,[status(thm)],[])).
% 9.51/7.08 tff(29792,plain,
% 9.51/7.08 (v142(constB118) <=> (~((~v143(constB118)) | (~v144(constB118))))),
% 9.51/7.08 inference(unit_resolution,[status(thm)],[29791, 596])).
% 9.51/7.08 tff(29793,plain,
% 9.51/7.08 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB118) <=> (~((~v141(constB118)) | (~v145(constB118)))))),
% 9.51/7.08 inference(quant_inst,[status(thm)],[])).
% 9.51/7.08 tff(29794,plain,
% 9.51/7.08 (v144(constB118) <=> (~((~v141(constB118)) | (~v145(constB118))))),
% 9.51/7.08 inference(unit_resolution,[status(thm)],[29793, 608])).
% 9.51/7.08 tff(29795,plain,
% 9.51/7.08 (((~v141(constB118)) | (~v145(constB118))) | v141(constB118)),
% 9.51/7.08 inference(tautology,[status(thm)],[])).
% 9.51/7.08 tff(29796,plain,
% 9.51/7.08 ((~v141(constB118)) | (~v145(constB118))),
% 9.51/7.08 inference(unit_resolution,[status(thm)],[29795, 26798])).
% 9.51/7.08 tff(29797,plain,
% 9.51/7.08 ((~(v144(constB118) <=> (~((~v141(constB118)) | (~v145(constB118)))))) | (~v144(constB118)) | (~((~v141(constB118)) | (~v145(constB118))))),
% 9.51/7.08 inference(tautology,[status(thm)],[])).
% 9.51/7.08 tff(29798,plain,
% 9.51/7.08 ((~(v144(constB118) <=> (~((~v141(constB118)) | (~v145(constB118)))))) | (~v144(constB118))),
% 9.51/7.08 inference(unit_resolution,[status(thm)],[29797, 29796])).
% 9.51/7.08 tff(29799,plain,
% 9.51/7.08 (~v144(constB118)),
% 9.51/7.08 inference(unit_resolution,[status(thm)],[29798, 29794])).
% 9.51/7.08 tff(29800,plain,
% 9.51/7.08 (((~v143(constB118)) | (~v144(constB118))) | v144(constB118)),
% 9.51/7.08 inference(tautology,[status(thm)],[])).
% 9.51/7.08 tff(29801,plain,
% 9.51/7.08 ((~v143(constB118)) | (~v144(constB118))),
% 9.51/7.08 inference(unit_resolution,[status(thm)],[29800, 29799])).
% 9.51/7.08 tff(29802,plain,
% 9.51/7.08 ((~(v142(constB118) <=> (~((~v143(constB118)) | (~v144(constB118)))))) | (~v142(constB118)) | (~((~v143(constB118)) | (~v144(constB118))))),
% 9.51/7.08 inference(tautology,[status(thm)],[])).
% 9.51/7.08 tff(29803,plain,
% 9.51/7.08 (~v142(constB118)),
% 9.51/7.08 inference(unit_resolution,[status(thm)],[29802, 29801, 29792])).
% 9.51/7.08 tff(29804,plain,
% 9.51/7.08 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB118) <=> (~((~v132(constB118)) | (~v139(constB118)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB118) <=> (~((~v132(constB118)) | (~v139(constB118))))))),
% 9.51/7.08 inference(rewrite,[status(thm)],[])).
% 9.51/7.08 tff(29805,plain,
% 9.51/7.08 ((v138(constB118) <=> (~((~v139(constB118)) | (~v132(constB118))))) <=> (v138(constB118) <=> (~((~v132(constB118)) | (~v139(constB118)))))),
% 9.51/7.08 inference(rewrite,[status(thm)],[])).
% 9.51/7.08 tff(29806,plain,
% 9.51/7.08 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB118) <=> (~((~v139(constB118)) | (~v132(constB118)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB118) <=> (~((~v132(constB118)) | (~v139(constB118))))))),
% 9.51/7.08 inference(monotonicity,[status(thm)],[29805])).
% 9.51/7.08 tff(29807,plain,
% 9.51/7.08 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB118) <=> (~((~v139(constB118)) | (~v132(constB118)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB118) <=> (~((~v132(constB118)) | (~v139(constB118))))))),
% 9.51/7.08 inference(transitivity,[status(thm)],[29806, 29804])).
% 9.51/7.08 tff(29808,plain,
% 9.51/7.08 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB118) <=> (~((~v139(constB118)) | (~v132(constB118)))))),
% 9.51/7.08 inference(quant_inst,[status(thm)],[])).
% 9.51/7.08 tff(29809,plain,
% 9.51/7.08 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB118) <=> (~((~v132(constB118)) | (~v139(constB118)))))),
% 9.51/7.08 inference(modus_ponens,[status(thm)],[29808, 29807])).
% 9.51/7.08 tff(29810,plain,
% 9.51/7.08 (v138(constB118) <=> (~((~v132(constB118)) | (~v139(constB118))))),
% 9.51/7.08 inference(unit_resolution,[status(thm)],[29809, 644])).
% 9.51/7.08 tff(29811,plain,
% 9.51/7.08 ((~![VarNext: $i] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB118) <=> v137(constB118))),
% 9.51/7.08 inference(quant_inst,[status(thm)],[])).
% 9.51/7.08 tff(29812,plain,
% 9.51/7.08 (v132(constB118) <=> v137(constB118)),
% 9.51/7.08 inference(unit_resolution,[status(thm)],[29811, 558])).
% 9.51/7.08 tff(29813,plain,
% 9.51/7.08 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB117, constB118)) | (v137(constB118) <=> v135(constB117)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB117, constB118)) | (v137(constB118) <=> v135(constB117)))),
% 9.51/7.08 inference(rewrite,[status(thm)],[])).
% 9.51/7.08 tff(29814,plain,
% 9.51/7.08 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB117, constB118)) | (v137(constB118) <=> v135(constB117)))),
% 9.51/7.08 inference(quant_inst,[status(thm)],[])).
% 9.51/7.08 tff(29815,plain,
% 9.51/7.08 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB117, constB118)) | (v137(constB118) <=> v135(constB117))),
% 9.51/7.08 inference(modus_ponens,[status(thm)],[29814, 29813])).
% 9.51/7.08 tff(29816,plain,
% 9.51/7.08 (v137(constB118) <=> v135(constB117)),
% 9.51/7.08 inference(unit_resolution,[status(thm)],[29815, 4377, 570])).
% 9.51/7.08 tff(29817,plain,
% 9.51/7.08 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB117) <=> (v138(constB117) | v142(constB117)))),
% 9.51/7.08 inference(quant_inst,[status(thm)],[])).
% 9.51/7.08 tff(29818,plain,
% 9.51/7.08 (v135(constB117) <=> (v138(constB117) | v142(constB117))),
% 9.51/7.08 inference(unit_resolution,[status(thm)],[29817, 584])).
% 9.51/7.08 tff(29819,plain,
% 9.51/7.08 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB117) <=> (~((~v132(constB117)) | (~v139(constB117)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB117) <=> (~((~v132(constB117)) | (~v139(constB117))))))),
% 9.51/7.08 inference(rewrite,[status(thm)],[])).
% 9.51/7.08 tff(29820,plain,
% 9.51/7.08 ((v138(constB117) <=> (~((~v139(constB117)) | (~v132(constB117))))) <=> (v138(constB117) <=> (~((~v132(constB117)) | (~v139(constB117)))))),
% 9.51/7.08 inference(rewrite,[status(thm)],[])).
% 9.51/7.08 tff(29821,plain,
% 9.51/7.08 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB117) <=> (~((~v139(constB117)) | (~v132(constB117)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB117) <=> (~((~v132(constB117)) | (~v139(constB117))))))),
% 9.51/7.08 inference(monotonicity,[status(thm)],[29820])).
% 9.51/7.08 tff(29822,plain,
% 9.51/7.08 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB117) <=> (~((~v139(constB117)) | (~v132(constB117)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB117) <=> (~((~v132(constB117)) | (~v139(constB117))))))),
% 9.51/7.08 inference(transitivity,[status(thm)],[29821, 29819])).
% 9.51/7.08 tff(29823,plain,
% 9.51/7.08 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB117) <=> (~((~v139(constB117)) | (~v132(constB117)))))),
% 9.51/7.08 inference(quant_inst,[status(thm)],[])).
% 9.51/7.08 tff(29824,plain,
% 9.51/7.08 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB117) <=> (~((~v132(constB117)) | (~v139(constB117)))))),
% 9.51/7.08 inference(modus_ponens,[status(thm)],[29823, 29822])).
% 9.51/7.08 tff(29825,plain,
% 9.51/7.08 (v138(constB117) <=> (~((~v132(constB117)) | (~v139(constB117))))),
% 9.51/7.08 inference(unit_resolution,[status(thm)],[29824, 644])).
% 9.51/7.08 tff(29826,plain,
% 9.51/7.08 (((~v132(constB117)) | (~v139(constB117))) | v139(constB117)),
% 9.51/7.08 inference(tautology,[status(thm)],[])).
% 9.51/7.08 tff(29827,plain,
% 9.51/7.08 ((~v132(constB117)) | (~v139(constB117))),
% 9.51/7.08 inference(unit_resolution,[status(thm)],[29826, 26891])).
% 9.51/7.08 tff(29828,plain,
% 9.51/7.08 ((~(v138(constB117) <=> (~((~v132(constB117)) | (~v139(constB117)))))) | (~v138(constB117)) | (~((~v132(constB117)) | (~v139(constB117))))),
% 9.51/7.08 inference(tautology,[status(thm)],[])).
% 9.51/7.08 tff(29829,plain,
% 9.51/7.08 (~v138(constB117)),
% 9.51/7.08 inference(unit_resolution,[status(thm)],[29828, 29827, 29825])).
% 9.51/7.08 tff(29830,plain,
% 9.51/7.08 ((~![VarCurr: $i] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB117) <=> (~((~v143(constB117)) | (~v144(constB117)))))),
% 9.51/7.08 inference(quant_inst,[status(thm)],[])).
% 9.51/7.08 tff(29831,plain,
% 9.51/7.08 (v142(constB117) <=> (~((~v143(constB117)) | (~v144(constB117))))),
% 9.51/7.08 inference(unit_resolution,[status(thm)],[29830, 596])).
% 9.51/7.08 tff(29832,plain,
% 9.51/7.08 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB117) <=> (~((~v141(constB117)) | (~v145(constB117)))))),
% 9.51/7.08 inference(quant_inst,[status(thm)],[])).
% 9.51/7.08 tff(29833,plain,
% 9.51/7.08 (v144(constB117) <=> (~((~v141(constB117)) | (~v145(constB117))))),
% 9.51/7.08 inference(unit_resolution,[status(thm)],[29832, 608])).
% 9.51/7.08 tff(29834,plain,
% 9.51/7.08 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB117) <=> (~(v84(constB117, bitIndex2) | v84(constB117, bitIndex1) | (~v84(constB117, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB117) <=> (~(v84(constB117, bitIndex2) | v84(constB117, bitIndex1) | (~v84(constB117, bitIndex0))))))),
% 9.51/7.08 inference(rewrite,[status(thm)],[])).
% 9.51/7.08 tff(29835,plain,
% 9.51/7.08 ((v145(constB117) <=> (~(v84(constB117, bitIndex1) | v84(constB117, bitIndex2) | (~v84(constB117, bitIndex0))))) <=> (v145(constB117) <=> (~(v84(constB117, bitIndex2) | v84(constB117, bitIndex1) | (~v84(constB117, bitIndex0)))))),
% 9.51/7.08 inference(rewrite,[status(thm)],[])).
% 9.51/7.08 tff(29836,plain,
% 9.51/7.08 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB117) <=> (~(v84(constB117, bitIndex1) | v84(constB117, bitIndex2) | (~v84(constB117, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB117) <=> (~(v84(constB117, bitIndex2) | v84(constB117, bitIndex1) | (~v84(constB117, bitIndex0))))))),
% 9.51/7.08 inference(monotonicity,[status(thm)],[29835])).
% 9.51/7.08 tff(29837,plain,
% 9.51/7.08 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB117) <=> (~(v84(constB117, bitIndex1) | v84(constB117, bitIndex2) | (~v84(constB117, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB117) <=> (~(v84(constB117, bitIndex2) | v84(constB117, bitIndex1) | (~v84(constB117, bitIndex0))))))),
% 9.51/7.08 inference(transitivity,[status(thm)],[29836, 29834])).
% 9.51/7.08 tff(29838,plain,
% 9.51/7.08 ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB117) <=> (~(v84(constB117, bitIndex1) | v84(constB117, bitIndex2) | (~v84(constB117, bitIndex0)))))),
% 9.51/7.08 inference(quant_inst,[status(thm)],[])).
% 9.51/7.08 tff(29839,plain,
% 9.51/7.08 ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB117) <=> (~(v84(constB117, bitIndex2) | v84(constB117, bitIndex1) | (~v84(constB117, bitIndex0)))))),
% 9.51/7.08 inference(modus_ponens,[status(thm)],[29838, 29837])).
% 9.51/7.08 tff(29840,plain,
% 9.51/7.08 (v145(constB117) <=> (~(v84(constB117, bitIndex2) | v84(constB117, bitIndex1) | (~v84(constB117, bitIndex0))))),
% 9.51/7.08 inference(unit_resolution,[status(thm)],[29839, 755])).
% 9.51/7.08 tff(29841,plain,
% 9.51/7.08 ((v84(constB117, bitIndex2) | v84(constB117, bitIndex1) | (~v84(constB117, bitIndex0))) | (~v84(constB117, bitIndex2))),
% 9.51/7.08 inference(tautology,[status(thm)],[])).
% 9.51/7.08 tff(29842,plain,
% 9.51/7.08 (v84(constB117, bitIndex2) | v84(constB117, bitIndex1) | (~v84(constB117, bitIndex0))),
% 9.51/7.08 inference(unit_resolution,[status(thm)],[29841, 19333])).
% 9.51/7.08 tff(29843,plain,
% 9.51/7.08 ((~(v145(constB117) <=> (~(v84(constB117, bitIndex2) | v84(constB117, bitIndex1) | (~v84(constB117, bitIndex0)))))) | (~v145(constB117)) | (~(v84(constB117, bitIndex2) | v84(constB117, bitIndex1) | (~v84(constB117, bitIndex0))))),
% 9.51/7.08 inference(tautology,[status(thm)],[])).
% 9.51/7.08 tff(29844,plain,
% 9.51/7.08 (~v145(constB117)),
% 9.51/7.08 inference(unit_resolution,[status(thm)],[29843, 29842, 29840])).
% 9.51/7.08 tff(29845,plain,
% 9.51/7.08 (((~v141(constB117)) | (~v145(constB117))) | v145(constB117)),
% 9.51/7.08 inference(tautology,[status(thm)],[])).
% 9.51/7.08 tff(29846,plain,
% 9.51/7.08 ((~v141(constB117)) | (~v145(constB117))),
% 9.51/7.08 inference(unit_resolution,[status(thm)],[29845, 29844])).
% 9.51/7.08 tff(29847,plain,
% 9.51/7.08 ((~(v144(constB117) <=> (~((~v141(constB117)) | (~v145(constB117)))))) | (~v144(constB117)) | (~((~v141(constB117)) | (~v145(constB117))))),
% 9.51/7.08 inference(tautology,[status(thm)],[])).
% 9.51/7.08 tff(29848,plain,
% 9.51/7.08 (~v144(constB117)),
% 9.51/7.08 inference(unit_resolution,[status(thm)],[29847, 29846, 29833])).
% 9.51/7.08 tff(29849,plain,
% 9.51/7.08 (((~v143(constB117)) | (~v144(constB117))) | v144(constB117)),
% 9.51/7.08 inference(tautology,[status(thm)],[])).
% 9.51/7.08 tff(29850,plain,
% 9.51/7.08 ((~v143(constB117)) | (~v144(constB117))),
% 9.51/7.08 inference(unit_resolution,[status(thm)],[29849, 29848])).
% 9.51/7.08 tff(29851,plain,
% 9.51/7.08 ((~(v142(constB117) <=> (~((~v143(constB117)) | (~v144(constB117)))))) | (~v142(constB117)) | (~((~v143(constB117)) | (~v144(constB117))))),
% 9.51/7.08 inference(tautology,[status(thm)],[])).
% 9.51/7.08 tff(29852,plain,
% 9.51/7.08 (~v142(constB117)),
% 9.51/7.08 inference(unit_resolution,[status(thm)],[29851, 29850, 29831])).
% 9.51/7.08 tff(29853,plain,
% 9.51/7.08 ((~(v138(constB117) | v142(constB117))) | v138(constB117) | v142(constB117)),
% 9.51/7.08 inference(tautology,[status(thm)],[])).
% 9.51/7.08 tff(29854,plain,
% 9.51/7.08 (~(v138(constB117) | v142(constB117))),
% 9.51/7.08 inference(unit_resolution,[status(thm)],[29853, 29852, 29829])).
% 9.51/7.08 tff(29855,plain,
% 9.51/7.08 ((~(v135(constB117) <=> (v138(constB117) | v142(constB117)))) | (~v135(constB117)) | (v138(constB117) | v142(constB117))),
% 9.51/7.08 inference(tautology,[status(thm)],[])).
% 9.51/7.08 tff(29856,plain,
% 9.51/7.08 (~v135(constB117)),
% 9.51/7.08 inference(unit_resolution,[status(thm)],[29855, 29854, 29818])).
% 9.51/7.08 tff(29857,plain,
% 9.51/7.08 ((~(v137(constB118) <=> v135(constB117))) | (~v137(constB118)) | v135(constB117)),
% 9.51/7.08 inference(tautology,[status(thm)],[])).
% 9.51/7.08 tff(29858,plain,
% 9.51/7.08 (~v137(constB118)),
% 9.51/7.08 inference(unit_resolution,[status(thm)],[29857, 29856, 29816])).
% 9.51/7.08 tff(29859,plain,
% 9.51/7.08 ((~(v132(constB118) <=> v137(constB118))) | (~v132(constB118)) | v137(constB118)),
% 9.51/7.08 inference(tautology,[status(thm)],[])).
% 9.51/7.08 tff(29860,plain,
% 9.51/7.08 (~v132(constB118)),
% 9.51/7.08 inference(unit_resolution,[status(thm)],[29859, 29858, 29812])).
% 9.51/7.08 tff(29861,plain,
% 9.51/7.08 (((~v132(constB118)) | (~v139(constB118))) | v132(constB118)),
% 9.51/7.08 inference(tautology,[status(thm)],[])).
% 9.51/7.08 tff(29862,plain,
% 9.51/7.08 ((~v132(constB118)) | (~v139(constB118))),
% 9.51/7.08 inference(unit_resolution,[status(thm)],[29861, 29860])).
% 9.51/7.08 tff(29863,plain,
% 9.51/7.08 ((~(v138(constB118) <=> (~((~v132(constB118)) | (~v139(constB118)))))) | (~v138(constB118)) | (~((~v132(constB118)) | (~v139(constB118))))),
% 9.51/7.08 inference(tautology,[status(thm)],[])).
% 9.51/7.08 tff(29864,plain,
% 9.51/7.08 (~v138(constB118)),
% 9.51/7.08 inference(unit_resolution,[status(thm)],[29863, 29862, 29810])).
% 9.51/7.08 tff(29865,plain,
% 9.51/7.08 ((~(v138(constB118) | v142(constB118))) | v138(constB118) | v142(constB118)),
% 9.51/7.08 inference(tautology,[status(thm)],[])).
% 9.51/7.08 tff(29866,plain,
% 9.51/7.08 (~(v138(constB118) | v142(constB118))),
% 9.51/7.08 inference(unit_resolution,[status(thm)],[29865, 29864, 29803])).
% 9.51/7.08 tff(29867,plain,
% 9.51/7.08 ((~(v135(constB118) <=> (v138(constB118) | v142(constB118)))) | (~v135(constB118)) | (v138(constB118) | v142(constB118))),
% 9.51/7.08 inference(tautology,[status(thm)],[])).
% 9.51/7.08 tff(29868,plain,
% 9.51/7.08 (~v135(constB118)),
% 9.51/7.08 inference(unit_resolution,[status(thm)],[29867, 29866, 29790])).
% 9.51/7.08 tff(29869,plain,
% 9.51/7.08 ((~(v137(constB119) <=> v135(constB118))) | (~v137(constB119)) | v135(constB118)),
% 9.51/7.08 inference(tautology,[status(thm)],[])).
% 9.51/7.08 tff(29870,plain,
% 9.51/7.08 (~v137(constB119)),
% 9.51/7.08 inference(unit_resolution,[status(thm)],[29869, 29868, 29788])).
% 9.51/7.08 tff(29871,plain,
% 9.51/7.08 ((~(v132(constB119) <=> v137(constB119))) | (~v132(constB119)) | v137(constB119)),
% 9.51/7.08 inference(tautology,[status(thm)],[])).
% 9.51/7.08 tff(29872,plain,
% 9.51/7.08 (~v132(constB119)),
% 9.51/7.08 inference(unit_resolution,[status(thm)],[29871, 29870, 29784])).
% 9.51/7.08 tff(29873,plain,
% 9.51/7.08 (((~v132(constB119)) | (~v154(constB119))) | v132(constB119)),
% 9.51/7.08 inference(tautology,[status(thm)],[])).
% 9.51/7.08 tff(29874,plain,
% 9.51/7.08 ((~v132(constB119)) | (~v154(constB119))),
% 9.51/7.08 inference(unit_resolution,[status(thm)],[29873, 29872])).
% 9.51/7.08 tff(29875,plain,
% 9.51/7.08 ((~(v153(constB119) <=> (~((~v132(constB119)) | (~v154(constB119)))))) | (~v153(constB119)) | (~((~v132(constB119)) | (~v154(constB119))))),
% 9.51/7.08 inference(tautology,[status(thm)],[])).
% 9.51/7.08 tff(29876,plain,
% 9.51/7.08 (~v153(constB119)),
% 9.51/7.08 inference(unit_resolution,[status(thm)],[29875, 29874, 29782])).
% 9.51/7.08 tff(29877,plain,
% 9.51/7.08 ((~(v153(constB119) | v155(constB119))) | v153(constB119) | v155(constB119)),
% 9.51/7.08 inference(tautology,[status(thm)],[])).
% 9.51/7.08 tff(29878,plain,
% 9.51/7.08 (~(v153(constB119) | v155(constB119))),
% 9.51/7.08 inference(unit_resolution,[status(thm)],[29877, 29876, 29775])).
% 9.51/7.08 tff(29879,plain,
% 9.51/7.08 ((~(v150(constB119) <=> (v153(constB119) | v155(constB119)))) | (~v150(constB119)) | (v153(constB119) | v155(constB119))),
% 9.51/7.08 inference(tautology,[status(thm)],[])).
% 9.51/7.08 tff(29880,plain,
% 9.51/7.08 (~v150(constB119)),
% 9.51/7.08 inference(unit_resolution,[status(thm)],[29879, 29878, 29764])).
% 9.51/7.08 tff(29881,plain,
% 9.51/7.08 ((~(v152(constB120) <=> v150(constB119))) | (~v152(constB120)) | v150(constB119)),
% 9.51/7.08 inference(tautology,[status(thm)],[])).
% 9.51/7.08 tff(29882,plain,
% 9.51/7.08 (~v152(constB120)),
% 9.51/7.08 inference(unit_resolution,[status(thm)],[29881, 29880, 29762])).
% 9.51/7.08 tff(29883,plain,
% 9.51/7.08 ((~(v130(constB120) <=> v152(constB120))) | (~v130(constB120)) | v152(constB120)),
% 9.51/7.08 inference(tautology,[status(thm)],[])).
% 9.51/7.08 tff(29884,plain,
% 9.51/7.08 (~v130(constB120)),
% 9.51/7.08 inference(unit_resolution,[status(thm)],[29883, 29882, 29758])).
% 9.51/7.08 tff(29885,plain,
% 9.51/7.08 (((~v130(constB120)) | (~v139(constB120))) | v130(constB120)),
% 9.51/7.08 inference(tautology,[status(thm)],[])).
% 9.51/7.08 tff(29886,plain,
% 9.51/7.08 ((~v130(constB120)) | (~v139(constB120))),
% 9.51/7.08 inference(unit_resolution,[status(thm)],[29885, 29884])).
% 9.51/7.08 tff(29887,plain,
% 9.51/7.08 ((~(v155(constB120) <=> (~((~v130(constB120)) | (~v139(constB120)))))) | (~v155(constB120)) | (~((~v130(constB120)) | (~v139(constB120))))),
% 9.51/7.08 inference(tautology,[status(thm)],[])).
% 9.51/7.08 tff(29888,plain,
% 9.51/7.08 (~v155(constB120)),
% 9.51/7.08 inference(unit_resolution,[status(thm)],[29887, 29886, 29756])).
% 9.51/7.08 tff(29889,plain,
% 9.51/7.08 ((~(v153(constB120) | v155(constB120))) | v153(constB120) | v155(constB120)),
% 9.51/7.08 inference(tautology,[status(thm)],[])).
% 9.51/7.08 tff(29890,plain,
% 9.51/7.08 (~(v153(constB120) | v155(constB120))),
% 9.51/7.08 inference(unit_resolution,[status(thm)],[29889, 29888, 29749])).
% 9.51/7.08 tff(29891,plain,
% 9.51/7.08 ((~(v150(constB120) <=> (v153(constB120) | v155(constB120)))) | (~v150(constB120)) | (v153(constB120) | v155(constB120))),
% 9.51/7.08 inference(tautology,[status(thm)],[])).
% 9.51/7.08 tff(29892,plain,
% 9.51/7.08 (~v150(constB120)),
% 9.51/7.08 inference(unit_resolution,[status(thm)],[29891, 29890, 29738])).
% 9.51/7.08 tff(29893,plain,
% 9.51/7.08 ((~(v152(constB121) <=> v150(constB120))) | (~v152(constB121)) | v150(constB120)),
% 9.51/7.08 inference(tautology,[status(thm)],[])).
% 9.51/7.08 tff(29894,plain,
% 9.51/7.08 (~v152(constB121)),
% 9.51/7.08 inference(unit_resolution,[status(thm)],[29893, 29892, 29736])).
% 9.51/7.08 tff(29895,plain,
% 9.51/7.08 ((~(v130(constB121) <=> v152(constB121))) | (~v130(constB121)) | v152(constB121)),
% 9.51/7.08 inference(tautology,[status(thm)],[])).
% 9.51/7.08 tff(29896,plain,
% 9.51/7.08 (~v130(constB121)),
% 9.51/7.08 inference(unit_resolution,[status(thm)],[29895, 29894, 29732])).
% 9.51/7.08 tff(29897,plain,
% 9.51/7.08 (((~v130(constB121)) | (~v154(constB121))) | v130(constB121)),
% 9.51/7.08 inference(tautology,[status(thm)],[])).
% 9.51/7.08 tff(29898,plain,
% 9.51/7.08 ((~v130(constB121)) | (~v154(constB121))),
% 9.51/7.08 inference(unit_resolution,[status(thm)],[29897, 29896])).
% 9.51/7.08 tff(29899,plain,
% 9.51/7.08 ((~(v164(constB121) <=> (~((~v130(constB121)) | (~v154(constB121)))))) | (~v164(constB121)) | (~((~v130(constB121)) | (~v154(constB121))))),
% 9.51/7.08 inference(tautology,[status(thm)],[])).
% 9.51/7.08 tff(29900,plain,
% 9.51/7.08 (~v164(constB121)),
% 9.51/7.08 inference(unit_resolution,[status(thm)],[29899, 29898, 29730])).
% 9.51/7.08 tff(29901,plain,
% 9.51/7.08 ((~(v163(constB121) | v164(constB121))) | v163(constB121) | v164(constB121)),
% 9.51/7.08 inference(tautology,[status(thm)],[])).
% 9.51/7.08 tff(29902,plain,
% 9.51/7.08 (~(v163(constB121) | v164(constB121))),
% 9.51/7.08 inference(unit_resolution,[status(thm)],[29901, 29900, 29723])).
% 9.51/7.08 tff(29903,plain,
% 9.51/7.08 ((~(v160(constB121) <=> (v163(constB121) | v164(constB121)))) | (~v160(constB121)) | (v163(constB121) | v164(constB121))),
% 9.51/7.08 inference(tautology,[status(thm)],[])).
% 9.51/7.08 tff(29904,plain,
% 9.51/7.08 (~v160(constB121)),
% 9.51/7.08 inference(unit_resolution,[status(thm)],[29903, 29902, 29650])).
% 9.51/7.08 tff(29905,plain,
% 9.51/7.08 ((~(v162(constB122) <=> v160(constB121))) | (~v162(constB122)) | v160(constB121)),
% 9.51/7.08 inference(tautology,[status(thm)],[])).
% 9.51/7.08 tff(29906,plain,
% 9.51/7.08 (~v162(constB122)),
% 9.51/7.08 inference(unit_resolution,[status(thm)],[29905, 29904, 29648])).
% 9.51/7.08 tff(29907,plain,
% 9.51/7.08 ((~(v128(constB122) <=> v162(constB122))) | (~v128(constB122)) | v162(constB122)),
% 9.51/7.08 inference(tautology,[status(thm)],[])).
% 9.51/7.08 tff(29908,plain,
% 9.51/7.08 (~v128(constB122)),
% 9.51/7.08 inference(unit_resolution,[status(thm)],[29907, 29906, 29644])).
% 9.51/7.08 tff(29909,plain,
% 9.51/7.08 (((~v128(constB122)) | (~v139(constB122))) | v128(constB122)),
% 9.51/7.08 inference(tautology,[status(thm)],[])).
% 9.51/7.08 tff(29910,plain,
% 9.51/7.08 ((~v128(constB122)) | (~v139(constB122))),
% 9.51/7.08 inference(unit_resolution,[status(thm)],[29909, 29908])).
% 9.51/7.08 tff(29911,plain,
% 9.51/7.08 ((~(v163(constB122) <=> (~((~v128(constB122)) | (~v139(constB122)))))) | (~v163(constB122)) | (~((~v128(constB122)) | (~v139(constB122))))),
% 9.51/7.08 inference(tautology,[status(thm)],[])).
% 9.51/7.08 tff(29912,plain,
% 9.51/7.08 (~v163(constB122)),
% 9.51/7.08 inference(unit_resolution,[status(thm)],[29911, 29910, 29642])).
% 9.51/7.08 tff(29913,plain,
% 9.51/7.08 ((~(v163(constB122) | v164(constB122))) | v163(constB122) | v164(constB122)),
% 9.51/7.08 inference(tautology,[status(thm)],[])).
% 9.51/7.08 tff(29914,plain,
% 9.51/7.08 (~(v163(constB122) | v164(constB122))),
% 9.51/7.08 inference(unit_resolution,[status(thm)],[29913, 29912, 29635])).
% 9.51/7.08 tff(29915,plain,
% 9.51/7.08 ((~(v160(constB122) <=> (v163(constB122) | v164(constB122)))) | (~v160(constB122)) | (v163(constB122) | v164(constB122))),
% 9.51/7.08 inference(tautology,[status(thm)],[])).
% 9.51/7.08 tff(29916,plain,
% 9.51/7.08 (~v160(constB122)),
% 9.51/7.08 inference(unit_resolution,[status(thm)],[29915, 29914, 29600])).
% 9.51/7.08 tff(29917,plain,
% 9.51/7.08 ((~(v162(constB123) <=> v160(constB122))) | (~v162(constB123)) | v160(constB122)),
% 9.51/7.08 inference(tautology,[status(thm)],[])).
% 9.51/7.08 tff(29918,plain,
% 9.51/7.08 (~v162(constB123)),
% 9.51/7.08 inference(unit_resolution,[status(thm)],[29917, 29916, 29598])).
% 9.51/7.08 tff(29919,plain,
% 9.51/7.08 ($false),
% 9.51/7.08 inference(unit_resolution,[status(thm)],[29918, 29594])).
% 9.51/7.08 tff(29920,plain,(~(constB123 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.51/7.08 tff(29921,assumption,(constB29 = VarCurr!0), introduced(assumption)).
% 9.51/7.08 tff(29922,plain,
% 9.51/7.08 (v162(constB29) <=> v162(VarCurr!0)),
% 9.51/7.08 inference(monotonicity,[status(thm)],[29921])).
% 9.51/7.08 tff(29923,plain,
% 9.51/7.08 (v162(VarCurr!0) <=> v162(constB29)),
% 9.51/7.08 inference(symmetry,[status(thm)],[29922])).
% 9.51/7.08 tff(29924,plain,
% 9.51/7.08 (v162(constB29)),
% 9.51/7.08 inference(modus_ponens,[status(thm)],[59, 29923])).
% 9.51/7.08 tff(29925,plain,
% 9.51/7.08 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB28, constB29)) | (v162(constB29) <=> v160(constB28)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB28, constB29)) | (v162(constB29) <=> v160(constB28)))),
% 9.51/7.08 inference(rewrite,[status(thm)],[])).
% 9.51/7.08 tff(29926,plain,
% 9.51/7.08 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB28, constB29)) | (v162(constB29) <=> v160(constB28)))),
% 9.51/7.08 inference(quant_inst,[status(thm)],[])).
% 9.51/7.08 tff(29927,plain,
% 9.51/7.08 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB28, constB29)) | (v162(constB29) <=> v160(constB28))),
% 9.51/7.08 inference(modus_ponens,[status(thm)],[29926, 29925])).
% 9.51/7.08 tff(29928,plain,
% 9.51/7.08 (v162(constB29) <=> v160(constB28)),
% 9.51/7.08 inference(unit_resolution,[status(thm)],[29927, 8448, 70])).
% 9.51/7.08 tff(29929,plain,
% 9.51/7.08 ((~![VarCurr: $i] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB28) <=> (v163(constB28) | v164(constB28)))),
% 9.51/7.08 inference(quant_inst,[status(thm)],[])).
% 9.51/7.08 tff(29930,plain,
% 9.51/7.08 (v160(constB28) <=> (v163(constB28) | v164(constB28))),
% 9.51/7.08 inference(unit_resolution,[status(thm)],[29929, 84])).
% 9.51/7.08 tff(29931,plain,
% 9.51/7.08 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB28) <=> (~((~v130(constB28)) | (~v154(constB28)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB28) <=> (~((~v130(constB28)) | (~v154(constB28))))))),
% 9.51/7.08 inference(rewrite,[status(thm)],[])).
% 9.51/7.08 tff(29932,plain,
% 9.51/7.08 ((v164(constB28) <=> (~((~v154(constB28)) | (~v130(constB28))))) <=> (v164(constB28) <=> (~((~v130(constB28)) | (~v154(constB28)))))),
% 9.51/7.08 inference(rewrite,[status(thm)],[])).
% 9.51/7.08 tff(29933,plain,
% 9.51/7.08 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB28) <=> (~((~v154(constB28)) | (~v130(constB28)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB28) <=> (~((~v130(constB28)) | (~v154(constB28))))))),
% 9.51/7.08 inference(monotonicity,[status(thm)],[29932])).
% 9.51/7.08 tff(29934,plain,
% 9.51/7.08 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB28) <=> (~((~v154(constB28)) | (~v130(constB28)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB28) <=> (~((~v130(constB28)) | (~v154(constB28))))))),
% 9.51/7.08 inference(transitivity,[status(thm)],[29933, 29931])).
% 9.51/7.08 tff(29935,plain,
% 9.51/7.08 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB28) <=> (~((~v154(constB28)) | (~v130(constB28)))))),
% 9.51/7.08 inference(quant_inst,[status(thm)],[])).
% 9.51/7.08 tff(29936,plain,
% 9.51/7.08 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB28) <=> (~((~v130(constB28)) | (~v154(constB28)))))),
% 9.51/7.08 inference(modus_ponens,[status(thm)],[29935, 29934])).
% 9.51/7.08 tff(29937,plain,
% 9.51/7.08 (v164(constB28) <=> (~((~v130(constB28)) | (~v154(constB28))))),
% 9.51/7.08 inference(unit_resolution,[status(thm)],[29936, 96])).
% 9.51/7.08 tff(29938,plain,
% 9.51/7.08 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB28) <=> (~((~v141(constB28)) | (~v143(constB28)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB28) <=> (~((~v141(constB28)) | (~v143(constB28))))))),
% 9.51/7.08 inference(rewrite,[status(thm)],[])).
% 9.51/7.08 tff(29939,plain,
% 9.51/7.08 ((v154(constB28) <=> (~((~v143(constB28)) | (~v141(constB28))))) <=> (v154(constB28) <=> (~((~v141(constB28)) | (~v143(constB28)))))),
% 9.51/7.08 inference(rewrite,[status(thm)],[])).
% 9.51/7.08 tff(29940,plain,
% 9.51/7.08 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB28) <=> (~((~v143(constB28)) | (~v141(constB28)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB28) <=> (~((~v141(constB28)) | (~v143(constB28))))))),
% 9.51/7.08 inference(monotonicity,[status(thm)],[29939])).
% 9.51/7.08 tff(29941,plain,
% 9.51/7.08 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB28) <=> (~((~v143(constB28)) | (~v141(constB28)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB28) <=> (~((~v141(constB28)) | (~v143(constB28))))))),
% 9.51/7.08 inference(transitivity,[status(thm)],[29940, 29938])).
% 9.51/7.08 tff(29942,plain,
% 9.51/7.08 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB28) <=> (~((~v143(constB28)) | (~v141(constB28)))))),
% 9.51/7.08 inference(quant_inst,[status(thm)],[])).
% 9.51/7.08 tff(29943,plain,
% 9.51/7.08 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB28) <=> (~((~v141(constB28)) | (~v143(constB28)))))),
% 9.51/7.08 inference(modus_ponens,[status(thm)],[29942, 29941])).
% 9.51/7.08 tff(29944,plain,
% 9.51/7.08 (v154(constB28) <=> (~((~v141(constB28)) | (~v143(constB28))))),
% 9.51/7.08 inference(unit_resolution,[status(thm)],[29943, 113])).
% 9.51/7.08 tff(29945,plain,
% 9.51/7.08 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB28) <=> (~((~v39(constB28)) | (~v9(constB28)))))),
% 9.51/7.08 inference(quant_inst,[status(thm)],[])).
% 9.51/7.08 tff(29946,plain,
% 9.51/7.08 (v141(constB28) <=> (~((~v39(constB28)) | (~v9(constB28))))),
% 9.51/7.08 inference(unit_resolution,[status(thm)],[29945, 130])).
% 9.51/7.08 tff(29947,plain,
% 9.51/7.08 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB28)) <=> v1(constB28))),
% 9.51/7.08 inference(quant_inst,[status(thm)],[])).
% 9.51/7.08 tff(29948,plain,
% 9.51/7.08 ((~v39(constB28)) <=> v1(constB28)),
% 9.51/7.08 inference(unit_resolution,[status(thm)],[29947, 139])).
% 9.51/7.08 tff(29949,plain,
% 9.51/7.08 ((~((~v39(constB28)) <=> v1(constB28))) | (~v39(constB28)) | (~v1(constB28))),
% 9.51/7.08 inference(tautology,[status(thm)],[])).
% 9.51/7.08 tff(29950,plain,
% 9.51/7.08 ((~((~v39(constB28)) <=> v1(constB28))) | (~v39(constB28))),
% 9.51/7.08 inference(unit_resolution,[status(thm)],[29949, 8510])).
% 9.51/7.08 tff(29951,plain,
% 9.51/7.08 (~v39(constB28)),
% 9.51/7.08 inference(unit_resolution,[status(thm)],[29950, 29948])).
% 9.51/7.08 tff(29952,plain,
% 9.51/7.08 (((~v39(constB28)) | (~v9(constB28))) | v39(constB28)),
% 9.51/7.08 inference(tautology,[status(thm)],[])).
% 9.51/7.08 tff(29953,plain,
% 9.51/7.08 ((~v39(constB28)) | (~v9(constB28))),
% 9.51/7.08 inference(unit_resolution,[status(thm)],[29952, 29951])).
% 9.51/7.08 tff(29954,plain,
% 9.51/7.08 ((~(v141(constB28) <=> (~((~v39(constB28)) | (~v9(constB28)))))) | (~v141(constB28)) | (~((~v39(constB28)) | (~v9(constB28))))),
% 9.51/7.08 inference(tautology,[status(thm)],[])).
% 9.51/7.08 tff(29955,plain,
% 9.51/7.08 ((~(v141(constB28) <=> (~((~v39(constB28)) | (~v9(constB28)))))) | (~v141(constB28))),
% 9.51/7.08 inference(unit_resolution,[status(thm)],[29954, 29953])).
% 9.51/7.08 tff(29956,plain,
% 9.51/7.08 (~v141(constB28)),
% 9.51/7.08 inference(unit_resolution,[status(thm)],[29955, 29946])).
% 9.51/7.08 tff(29957,plain,
% 9.51/7.08 (((~v141(constB28)) | (~v143(constB28))) | v141(constB28)),
% 9.51/7.08 inference(tautology,[status(thm)],[])).
% 9.51/7.08 tff(29958,plain,
% 9.51/7.08 ((~v141(constB28)) | (~v143(constB28))),
% 9.51/7.08 inference(unit_resolution,[status(thm)],[29957, 29956])).
% 9.51/7.08 tff(29959,plain,
% 9.51/7.08 ((~(v154(constB28) <=> (~((~v141(constB28)) | (~v143(constB28)))))) | (~v154(constB28)) | (~((~v141(constB28)) | (~v143(constB28))))),
% 9.51/7.08 inference(tautology,[status(thm)],[])).
% 9.51/7.08 tff(29960,plain,
% 9.51/7.08 ((~(v154(constB28) <=> (~((~v141(constB28)) | (~v143(constB28)))))) | (~v154(constB28))),
% 9.51/7.08 inference(unit_resolution,[status(thm)],[29959, 29958])).
% 9.51/7.08 tff(29961,plain,
% 9.51/7.08 (~v154(constB28)),
% 9.51/7.08 inference(unit_resolution,[status(thm)],[29960, 29944])).
% 9.51/7.08 tff(29962,plain,
% 9.51/7.08 (((~v130(constB28)) | (~v154(constB28))) | v154(constB28)),
% 9.51/7.08 inference(tautology,[status(thm)],[])).
% 9.51/7.08 tff(29963,plain,
% 9.51/7.08 ((~v130(constB28)) | (~v154(constB28))),
% 9.51/7.08 inference(unit_resolution,[status(thm)],[29962, 29961])).
% 9.51/7.08 tff(29964,plain,
% 9.51/7.08 ((~(v164(constB28) <=> (~((~v130(constB28)) | (~v154(constB28)))))) | (~v164(constB28)) | (~((~v130(constB28)) | (~v154(constB28))))),
% 9.51/7.08 inference(tautology,[status(thm)],[])).
% 9.51/7.08 tff(29965,plain,
% 9.51/7.08 (~v164(constB28)),
% 9.51/7.08 inference(unit_resolution,[status(thm)],[29964, 29963, 29937])).
% 9.51/7.08 tff(29966,plain,
% 9.51/7.08 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB28) <=> (~((~v128(constB28)) | (~v139(constB28)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB28) <=> (~((~v128(constB28)) | (~v139(constB28))))))),
% 9.51/7.08 inference(rewrite,[status(thm)],[])).
% 9.51/7.08 tff(29967,plain,
% 9.51/7.08 ((v163(constB28) <=> (~((~v139(constB28)) | (~v128(constB28))))) <=> (v163(constB28) <=> (~((~v128(constB28)) | (~v139(constB28)))))),
% 9.51/7.08 inference(rewrite,[status(thm)],[])).
% 9.51/7.08 tff(29968,plain,
% 9.51/7.08 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB28) <=> (~((~v139(constB28)) | (~v128(constB28)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB28) <=> (~((~v128(constB28)) | (~v139(constB28))))))),
% 9.51/7.08 inference(monotonicity,[status(thm)],[29967])).
% 9.51/7.08 tff(29969,plain,
% 9.51/7.08 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB28) <=> (~((~v139(constB28)) | (~v128(constB28)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB28) <=> (~((~v128(constB28)) | (~v139(constB28))))))),
% 9.51/7.08 inference(transitivity,[status(thm)],[29968, 29966])).
% 9.51/7.08 tff(29970,plain,
% 9.51/7.08 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB28) <=> (~((~v139(constB28)) | (~v128(constB28)))))),
% 9.51/7.08 inference(quant_inst,[status(thm)],[])).
% 9.51/7.08 tff(29971,plain,
% 9.51/7.08 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB28) <=> (~((~v128(constB28)) | (~v139(constB28)))))),
% 9.51/7.08 inference(modus_ponens,[status(thm)],[29970, 29969])).
% 9.51/7.08 tff(29972,plain,
% 9.51/7.08 (v163(constB28) <=> (~((~v128(constB28)) | (~v139(constB28))))),
% 9.51/7.08 inference(unit_resolution,[status(thm)],[29971, 171])).
% 9.51/7.08 tff(29973,plain,
% 9.51/7.08 ((~![VarNext: $i] : (v128(VarNext) <=> v162(VarNext))) | (v128(constB28) <=> v162(constB28))),
% 9.51/7.08 inference(quant_inst,[status(thm)],[])).
% 9.51/7.08 tff(29974,plain,
% 9.51/7.08 (v128(constB28) <=> v162(constB28)),
% 9.51/7.08 inference(unit_resolution,[status(thm)],[29973, 13])).
% 9.51/7.08 tff(29975,plain,
% 9.51/7.08 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB27, constB28)) | (v162(constB28) <=> v160(constB27)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB27, constB28)) | (v162(constB28) <=> v160(constB27)))),
% 9.51/7.08 inference(rewrite,[status(thm)],[])).
% 9.51/7.08 tff(29976,plain,
% 9.51/7.08 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB27, constB28)) | (v162(constB28) <=> v160(constB27)))),
% 9.51/7.08 inference(quant_inst,[status(thm)],[])).
% 9.51/7.08 tff(29977,plain,
% 9.51/7.08 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB27, constB28)) | (v162(constB28) <=> v160(constB27))),
% 9.51/7.08 inference(modus_ponens,[status(thm)],[29976, 29975])).
% 9.51/7.08 tff(29978,plain,
% 9.51/7.08 (v162(constB28) <=> v160(constB27)),
% 9.51/7.08 inference(unit_resolution,[status(thm)],[29977, 8480, 70])).
% 9.51/7.08 tff(29979,plain,
% 9.51/7.08 ((~![VarCurr: $i] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB27) <=> (v163(constB27) | v164(constB27)))),
% 9.51/7.08 inference(quant_inst,[status(thm)],[])).
% 9.51/7.08 tff(29980,plain,
% 9.51/7.08 (v160(constB27) <=> (v163(constB27) | v164(constB27))),
% 9.51/7.08 inference(unit_resolution,[status(thm)],[29979, 84])).
% 9.51/7.08 tff(29981,plain,
% 9.51/7.08 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB27) <=> (~((~v128(constB27)) | (~v139(constB27)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB27) <=> (~((~v128(constB27)) | (~v139(constB27))))))),
% 9.51/7.08 inference(rewrite,[status(thm)],[])).
% 9.51/7.08 tff(29982,plain,
% 9.51/7.08 ((v163(constB27) <=> (~((~v139(constB27)) | (~v128(constB27))))) <=> (v163(constB27) <=> (~((~v128(constB27)) | (~v139(constB27)))))),
% 9.51/7.08 inference(rewrite,[status(thm)],[])).
% 9.51/7.08 tff(29983,plain,
% 9.51/7.08 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB27) <=> (~((~v139(constB27)) | (~v128(constB27)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB27) <=> (~((~v128(constB27)) | (~v139(constB27))))))),
% 9.51/7.08 inference(monotonicity,[status(thm)],[29982])).
% 9.51/7.08 tff(29984,plain,
% 9.51/7.08 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB27) <=> (~((~v139(constB27)) | (~v128(constB27)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB27) <=> (~((~v128(constB27)) | (~v139(constB27))))))),
% 9.51/7.08 inference(transitivity,[status(thm)],[29983, 29981])).
% 9.51/7.08 tff(29985,plain,
% 9.51/7.08 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB27) <=> (~((~v139(constB27)) | (~v128(constB27)))))),
% 9.51/7.08 inference(quant_inst,[status(thm)],[])).
% 9.51/7.08 tff(29986,plain,
% 9.51/7.08 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB27) <=> (~((~v128(constB27)) | (~v139(constB27)))))),
% 9.51/7.08 inference(modus_ponens,[status(thm)],[29985, 29984])).
% 9.51/7.08 tff(29987,plain,
% 9.51/7.08 (v163(constB27) <=> (~((~v128(constB27)) | (~v139(constB27))))),
% 9.51/7.08 inference(unit_resolution,[status(thm)],[29986, 171])).
% 9.51/7.08 tff(29988,plain,
% 9.51/7.08 ((~![VarCurr: $i] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB27)) <=> v140(constB27))),
% 9.51/7.08 inference(quant_inst,[status(thm)],[])).
% 9.51/7.08 tff(29989,plain,
% 9.51/7.08 ((~v139(constB27)) <=> v140(constB27)),
% 9.51/7.08 inference(unit_resolution,[status(thm)],[29988, 203])).
% 9.51/7.08 tff(29990,plain,
% 9.51/7.08 ((~![VarCurr: $i] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB27) <=> (v141(constB27) | v26(constB27)))),
% 9.51/7.08 inference(quant_inst,[status(thm)],[])).
% 9.51/7.08 tff(29991,plain,
% 9.51/7.08 (v140(constB27) <=> (v141(constB27) | v26(constB27))),
% 9.51/7.08 inference(unit_resolution,[status(thm)],[29990, 212])).
% 9.51/7.08 tff(29992,plain,
% 9.51/7.08 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB27) <=> (~((~v39(constB27)) | (~v9(constB27)))))),
% 9.51/7.08 inference(quant_inst,[status(thm)],[])).
% 9.51/7.08 tff(29993,plain,
% 9.51/7.08 (v141(constB27) <=> (~((~v39(constB27)) | (~v9(constB27))))),
% 9.51/7.08 inference(unit_resolution,[status(thm)],[29992, 130])).
% 9.51/7.08 tff(29994,plain,
% 9.51/7.08 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB27, constB28)) | (v13(constB28) <=> v9(constB27)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB27, constB28)) | (v13(constB28) <=> v9(constB27)))),
% 9.51/7.08 inference(rewrite,[status(thm)],[])).
% 9.51/7.08 tff(29995,plain,
% 9.51/7.08 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB27, constB28)) | (v13(constB28) <=> v9(constB27)))),
% 9.51/7.08 inference(quant_inst,[status(thm)],[])).
% 9.51/7.08 tff(29996,plain,
% 9.51/7.08 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB27, constB28)) | (v13(constB28) <=> v9(constB27))),
% 9.51/7.08 inference(modus_ponens,[status(thm)],[29995, 29994])).
% 9.51/7.08 tff(29997,plain,
% 9.51/7.08 (v13(constB28) <=> v9(constB27)),
% 9.51/7.08 inference(unit_resolution,[status(thm)],[29996, 8480, 226])).
% 9.51/7.08 tff(29998,plain,
% 9.51/7.08 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB28) <=> v13(constB28))),
% 9.51/7.08 inference(quant_inst,[status(thm)],[])).
% 9.51/7.08 tff(29999,plain,
% 9.51/7.08 (v6(constB28) <=> v13(constB28)),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[29998, 240])).
% 9.51/7.09 tff(30000,plain,
% 9.51/7.09 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB28)) <=> v6(constB28))),
% 9.51/7.09 inference(quant_inst,[status(thm)],[])).
% 9.51/7.09 tff(30001,plain,
% 9.51/7.09 ((~v21(constB28)) <=> v6(constB28)),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30000, 249])).
% 9.51/7.09 tff(30002,plain,
% 9.51/7.09 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB28) <=> (v20(constB28) | v21(constB28)))),
% 9.51/7.09 inference(quant_inst,[status(thm)],[])).
% 9.51/7.09 tff(30003,plain,
% 9.51/7.09 (v19(constB28) <=> (v20(constB28) | v21(constB28))),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30002, 258])).
% 9.51/7.09 tff(30004,plain,
% 9.51/7.09 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB28) <=> (~((~v19(constB28)) | (~v22(constB28)))))),
% 9.51/7.09 inference(quant_inst,[status(thm)],[])).
% 9.51/7.09 tff(30005,plain,
% 9.51/7.09 (v18(constB28) <=> (~((~v19(constB28)) | (~v22(constB28))))),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30004, 270])).
% 9.51/7.09 tff(30006,plain,
% 9.51/7.09 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB28)) <=> v18(constB28))),
% 9.51/7.09 inference(quant_inst,[status(thm)],[])).
% 9.51/7.09 tff(30007,plain,
% 9.51/7.09 ((~v4(constB28)) <=> v18(constB28)),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30006, 279])).
% 9.51/7.09 tff(30008,plain,
% 9.51/7.09 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB28)),
% 9.51/7.09 inference(quant_inst,[status(thm)],[])).
% 9.51/7.09 tff(30009,plain,
% 9.51/7.09 (v4(constB28)),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30008, 288])).
% 9.51/7.09 tff(30010,plain,
% 9.51/7.09 ((~((~v4(constB28)) <=> v18(constB28))) | (~v4(constB28)) | (~v18(constB28))),
% 9.51/7.09 inference(tautology,[status(thm)],[])).
% 9.51/7.09 tff(30011,plain,
% 9.51/7.09 (~v18(constB28)),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30010, 30009, 30007])).
% 9.51/7.09 tff(30012,plain,
% 9.51/7.09 ((~(v18(constB28) <=> (~((~v19(constB28)) | (~v22(constB28)))))) | v18(constB28) | ((~v19(constB28)) | (~v22(constB28)))),
% 9.51/7.09 inference(tautology,[status(thm)],[])).
% 9.51/7.09 tff(30013,plain,
% 9.51/7.09 ((~v19(constB28)) | (~v22(constB28))),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30012, 30011, 30005])).
% 9.51/7.09 tff(30014,plain,
% 9.51/7.09 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB28) <=> (v1(constB28) | v6(constB28)))),
% 9.51/7.09 inference(quant_inst,[status(thm)],[])).
% 9.51/7.09 tff(30015,plain,
% 9.51/7.09 (v22(constB28) <=> (v1(constB28) | v6(constB28))),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30014, 301])).
% 9.51/7.09 tff(30016,plain,
% 9.51/7.09 ((v1(constB28) | v6(constB28)) | (~v1(constB28))),
% 9.51/7.09 inference(tautology,[status(thm)],[])).
% 9.51/7.09 tff(30017,plain,
% 9.51/7.09 (v1(constB28) | v6(constB28)),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30016, 8510])).
% 9.51/7.09 tff(30018,plain,
% 9.51/7.09 ((~(v22(constB28) <=> (v1(constB28) | v6(constB28)))) | v22(constB28) | (~(v1(constB28) | v6(constB28)))),
% 9.51/7.09 inference(tautology,[status(thm)],[])).
% 9.51/7.09 tff(30019,plain,
% 9.51/7.09 ((~(v22(constB28) <=> (v1(constB28) | v6(constB28)))) | v22(constB28)),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30018, 30017])).
% 9.51/7.09 tff(30020,plain,
% 9.51/7.09 (v22(constB28)),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30019, 30015])).
% 9.51/7.09 tff(30021,plain,
% 9.51/7.09 ((~((~v19(constB28)) | (~v22(constB28)))) | (~v19(constB28)) | (~v22(constB28))),
% 9.51/7.09 inference(tautology,[status(thm)],[])).
% 9.51/7.09 tff(30022,plain,
% 9.51/7.09 ((~((~v19(constB28)) | (~v22(constB28)))) | (~v19(constB28))),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30021, 30020])).
% 9.51/7.09 tff(30023,plain,
% 9.51/7.09 (~v19(constB28)),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30022, 30013])).
% 9.51/7.09 tff(30024,plain,
% 9.51/7.09 ((~(v19(constB28) <=> (v20(constB28) | v21(constB28)))) | v19(constB28) | (~(v20(constB28) | v21(constB28)))),
% 9.51/7.09 inference(tautology,[status(thm)],[])).
% 9.51/7.09 tff(30025,plain,
% 9.51/7.09 (~(v20(constB28) | v21(constB28))),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30024, 30023, 30003])).
% 9.51/7.09 tff(30026,plain,
% 9.51/7.09 ((v20(constB28) | v21(constB28)) | (~v21(constB28))),
% 9.51/7.09 inference(tautology,[status(thm)],[])).
% 9.51/7.09 tff(30027,plain,
% 9.51/7.09 (~v21(constB28)),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30026, 30025])).
% 9.51/7.09 tff(30028,plain,
% 9.51/7.09 ((~((~v21(constB28)) <=> v6(constB28))) | v21(constB28) | v6(constB28)),
% 9.51/7.09 inference(tautology,[status(thm)],[])).
% 9.51/7.09 tff(30029,plain,
% 9.51/7.09 (v6(constB28)),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30028, 30027, 30001])).
% 9.51/7.09 tff(30030,plain,
% 9.51/7.09 ((~(v6(constB28) <=> v13(constB28))) | (~v6(constB28)) | v13(constB28)),
% 9.51/7.09 inference(tautology,[status(thm)],[])).
% 9.51/7.09 tff(30031,plain,
% 9.51/7.09 (v13(constB28)),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30030, 30029, 29999])).
% 9.51/7.09 tff(30032,plain,
% 9.51/7.09 ((~(v13(constB28) <=> v9(constB27))) | (~v13(constB28)) | v9(constB27)),
% 9.51/7.09 inference(tautology,[status(thm)],[])).
% 9.51/7.09 tff(30033,plain,
% 9.51/7.09 (v9(constB27)),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30032, 30031, 29997])).
% 9.51/7.09 tff(30034,plain,
% 9.51/7.09 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB27)) <=> v1(constB27))),
% 9.51/7.09 inference(quant_inst,[status(thm)],[])).
% 9.51/7.09 tff(30035,plain,
% 9.51/7.09 ((~v39(constB27)) <=> v1(constB27)),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30034, 139])).
% 9.51/7.09 tff(30036,plain,
% 9.51/7.09 ((~((~v39(constB27)) <=> v1(constB27))) | v39(constB27) | v1(constB27)),
% 9.51/7.09 inference(tautology,[status(thm)],[])).
% 9.51/7.09 tff(30037,plain,
% 9.51/7.09 ((~((~v39(constB27)) <=> v1(constB27))) | v39(constB27)),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30036, 8502])).
% 9.51/7.09 tff(30038,plain,
% 9.51/7.09 (v39(constB27)),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30037, 30035])).
% 9.51/7.09 tff(30039,plain,
% 9.51/7.09 ((~((~v39(constB27)) | (~v9(constB27)))) | (~v39(constB27)) | (~v9(constB27))),
% 9.51/7.09 inference(tautology,[status(thm)],[])).
% 9.51/7.09 tff(30040,plain,
% 9.51/7.09 ((~((~v39(constB27)) | (~v9(constB27)))) | (~v9(constB27))),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30039, 30038])).
% 9.51/7.09 tff(30041,plain,
% 9.51/7.09 (~((~v39(constB27)) | (~v9(constB27)))),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30040, 30033])).
% 9.51/7.09 tff(30042,plain,
% 9.51/7.09 ((~(v141(constB27) <=> (~((~v39(constB27)) | (~v9(constB27)))))) | v141(constB27) | ((~v39(constB27)) | (~v9(constB27)))),
% 9.51/7.09 inference(tautology,[status(thm)],[])).
% 9.51/7.09 tff(30043,plain,
% 9.51/7.09 (v141(constB27)),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30042, 30041, 29993])).
% 9.51/7.09 tff(30044,plain,
% 9.51/7.09 ((v141(constB27) | v26(constB27)) | (~v141(constB27))),
% 9.51/7.09 inference(tautology,[status(thm)],[])).
% 9.51/7.09 tff(30045,plain,
% 9.51/7.09 (v141(constB27) | v26(constB27)),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30044, 30043])).
% 9.51/7.09 tff(30046,plain,
% 9.51/7.09 ((~(v140(constB27) <=> (v141(constB27) | v26(constB27)))) | v140(constB27) | (~(v141(constB27) | v26(constB27)))),
% 9.51/7.09 inference(tautology,[status(thm)],[])).
% 9.51/7.09 tff(30047,plain,
% 9.51/7.09 (v140(constB27)),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30046, 30045, 29991])).
% 9.51/7.09 tff(30048,plain,
% 9.51/7.09 ((~((~v139(constB27)) <=> v140(constB27))) | (~v139(constB27)) | (~v140(constB27))),
% 9.51/7.09 inference(tautology,[status(thm)],[])).
% 9.51/7.09 tff(30049,plain,
% 9.51/7.09 (~v139(constB27)),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30048, 30047, 29989])).
% 9.51/7.09 tff(30050,plain,
% 9.51/7.09 (((~v128(constB27)) | (~v139(constB27))) | v139(constB27)),
% 9.51/7.09 inference(tautology,[status(thm)],[])).
% 9.51/7.09 tff(30051,plain,
% 9.51/7.09 ((~v128(constB27)) | (~v139(constB27))),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30050, 30049])).
% 9.51/7.09 tff(30052,plain,
% 9.51/7.09 ((~(v163(constB27) <=> (~((~v128(constB27)) | (~v139(constB27)))))) | (~v163(constB27)) | (~((~v128(constB27)) | (~v139(constB27))))),
% 9.51/7.09 inference(tautology,[status(thm)],[])).
% 9.51/7.09 tff(30053,plain,
% 9.51/7.09 (~v163(constB27)),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30052, 30051, 29987])).
% 9.51/7.09 tff(30054,plain,
% 9.51/7.09 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB27) <=> (~((~v130(constB27)) | (~v154(constB27)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB27) <=> (~((~v130(constB27)) | (~v154(constB27))))))),
% 9.51/7.09 inference(rewrite,[status(thm)],[])).
% 9.51/7.09 tff(30055,plain,
% 9.51/7.09 ((v164(constB27) <=> (~((~v154(constB27)) | (~v130(constB27))))) <=> (v164(constB27) <=> (~((~v130(constB27)) | (~v154(constB27)))))),
% 9.51/7.09 inference(rewrite,[status(thm)],[])).
% 9.51/7.09 tff(30056,plain,
% 9.51/7.09 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB27) <=> (~((~v154(constB27)) | (~v130(constB27)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB27) <=> (~((~v130(constB27)) | (~v154(constB27))))))),
% 9.51/7.09 inference(monotonicity,[status(thm)],[30055])).
% 9.51/7.09 tff(30057,plain,
% 9.51/7.09 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB27) <=> (~((~v154(constB27)) | (~v130(constB27)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB27) <=> (~((~v130(constB27)) | (~v154(constB27))))))),
% 9.51/7.09 inference(transitivity,[status(thm)],[30056, 30054])).
% 9.51/7.09 tff(30058,plain,
% 9.51/7.09 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB27) <=> (~((~v154(constB27)) | (~v130(constB27)))))),
% 9.51/7.09 inference(quant_inst,[status(thm)],[])).
% 9.51/7.09 tff(30059,plain,
% 9.51/7.09 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB27) <=> (~((~v130(constB27)) | (~v154(constB27)))))),
% 9.51/7.09 inference(modus_ponens,[status(thm)],[30058, 30057])).
% 9.51/7.09 tff(30060,plain,
% 9.51/7.09 (v164(constB27) <=> (~((~v130(constB27)) | (~v154(constB27))))),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30059, 96])).
% 9.51/7.09 tff(30061,plain,
% 9.51/7.09 ((~![VarNext: $i] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB27) <=> v152(constB27))),
% 9.51/7.09 inference(quant_inst,[status(thm)],[])).
% 9.51/7.09 tff(30062,plain,
% 9.51/7.09 (v130(constB27) <=> v152(constB27)),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30061, 361])).
% 9.51/7.09 tff(30063,plain,
% 9.51/7.09 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB26, constB27)) | (v152(constB27) <=> v150(constB26)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB26, constB27)) | (v152(constB27) <=> v150(constB26)))),
% 9.51/7.09 inference(rewrite,[status(thm)],[])).
% 9.51/7.09 tff(30064,plain,
% 9.51/7.09 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB26, constB27)) | (v152(constB27) <=> v150(constB26)))),
% 9.51/7.09 inference(quant_inst,[status(thm)],[])).
% 9.51/7.09 tff(30065,plain,
% 9.51/7.09 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB26, constB27)) | (v152(constB27) <=> v150(constB26))),
% 9.51/7.09 inference(modus_ponens,[status(thm)],[30064, 30063])).
% 9.51/7.09 tff(30066,plain,
% 9.51/7.09 (v152(constB27) <=> v150(constB26)),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30065, 8545, 373])).
% 9.51/7.09 tff(30067,plain,
% 9.51/7.09 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v153(VarCurr) | v155(VarCurr)))) | (v150(constB26) <=> (v153(constB26) | v155(constB26)))),
% 9.51/7.09 inference(quant_inst,[status(thm)],[])).
% 9.51/7.09 tff(30068,plain,
% 9.51/7.09 (v150(constB26) <=> (v153(constB26) | v155(constB26))),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30067, 387])).
% 9.51/7.09 tff(30069,plain,
% 9.51/7.09 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB26) <=> (~((~v132(constB26)) | (~v154(constB26)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB26) <=> (~((~v132(constB26)) | (~v154(constB26))))))),
% 9.51/7.09 inference(rewrite,[status(thm)],[])).
% 9.51/7.09 tff(30070,plain,
% 9.51/7.09 ((v153(constB26) <=> (~((~v154(constB26)) | (~v132(constB26))))) <=> (v153(constB26) <=> (~((~v132(constB26)) | (~v154(constB26)))))),
% 9.51/7.09 inference(rewrite,[status(thm)],[])).
% 9.51/7.09 tff(30071,plain,
% 9.51/7.09 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB26) <=> (~((~v154(constB26)) | (~v132(constB26)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB26) <=> (~((~v132(constB26)) | (~v154(constB26))))))),
% 9.51/7.09 inference(monotonicity,[status(thm)],[30070])).
% 9.51/7.09 tff(30072,plain,
% 9.51/7.09 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB26) <=> (~((~v154(constB26)) | (~v132(constB26)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB26) <=> (~((~v132(constB26)) | (~v154(constB26))))))),
% 9.51/7.09 inference(transitivity,[status(thm)],[30071, 30069])).
% 9.51/7.09 tff(30073,plain,
% 9.51/7.09 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB26) <=> (~((~v154(constB26)) | (~v132(constB26)))))),
% 9.51/7.09 inference(quant_inst,[status(thm)],[])).
% 9.51/7.09 tff(30074,plain,
% 9.51/7.09 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB26) <=> (~((~v132(constB26)) | (~v154(constB26)))))),
% 9.51/7.09 inference(modus_ponens,[status(thm)],[30073, 30072])).
% 9.51/7.09 tff(30075,plain,
% 9.51/7.09 (v153(constB26) <=> (~((~v132(constB26)) | (~v154(constB26))))),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30074, 399])).
% 9.51/7.09 tff(30076,plain,
% 9.51/7.09 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB26) <=> (~((~v141(constB26)) | (~v143(constB26)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB26) <=> (~((~v141(constB26)) | (~v143(constB26))))))),
% 9.51/7.09 inference(rewrite,[status(thm)],[])).
% 9.51/7.09 tff(30077,plain,
% 9.51/7.09 ((v154(constB26) <=> (~((~v143(constB26)) | (~v141(constB26))))) <=> (v154(constB26) <=> (~((~v141(constB26)) | (~v143(constB26)))))),
% 9.51/7.09 inference(rewrite,[status(thm)],[])).
% 9.51/7.09 tff(30078,plain,
% 9.51/7.09 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB26) <=> (~((~v143(constB26)) | (~v141(constB26)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB26) <=> (~((~v141(constB26)) | (~v143(constB26))))))),
% 9.51/7.09 inference(monotonicity,[status(thm)],[30077])).
% 9.51/7.09 tff(30079,plain,
% 9.51/7.09 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB26) <=> (~((~v143(constB26)) | (~v141(constB26)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB26) <=> (~((~v141(constB26)) | (~v143(constB26))))))),
% 9.51/7.09 inference(transitivity,[status(thm)],[30078, 30076])).
% 9.51/7.09 tff(30080,plain,
% 9.51/7.09 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB26) <=> (~((~v143(constB26)) | (~v141(constB26)))))),
% 9.51/7.09 inference(quant_inst,[status(thm)],[])).
% 9.51/7.09 tff(30081,plain,
% 9.51/7.09 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB26) <=> (~((~v141(constB26)) | (~v143(constB26)))))),
% 9.51/7.09 inference(modus_ponens,[status(thm)],[30080, 30079])).
% 9.51/7.09 tff(30082,plain,
% 9.51/7.09 (v154(constB26) <=> (~((~v141(constB26)) | (~v143(constB26))))),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30081, 113])).
% 9.51/7.09 tff(30083,plain,
% 9.51/7.09 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB26) <=> (~((~v39(constB26)) | (~v9(constB26)))))),
% 9.51/7.09 inference(quant_inst,[status(thm)],[])).
% 9.51/7.09 tff(30084,plain,
% 9.51/7.09 (v141(constB26) <=> (~((~v39(constB26)) | (~v9(constB26))))),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30083, 130])).
% 9.51/7.09 tff(30085,plain,
% 9.51/7.09 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB26)) <=> v1(constB26))),
% 9.51/7.09 inference(quant_inst,[status(thm)],[])).
% 9.51/7.09 tff(30086,plain,
% 9.51/7.09 ((~v39(constB26)) <=> v1(constB26)),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30085, 139])).
% 9.51/7.09 tff(30087,plain,
% 9.51/7.09 ((~((~v39(constB26)) <=> v1(constB26))) | (~v39(constB26)) | (~v1(constB26))),
% 9.51/7.09 inference(tautology,[status(thm)],[])).
% 9.51/7.09 tff(30088,plain,
% 9.51/7.09 ((~((~v39(constB26)) <=> v1(constB26))) | (~v39(constB26))),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30087, 8607])).
% 9.51/7.09 tff(30089,plain,
% 9.51/7.09 (~v39(constB26)),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30088, 30086])).
% 9.51/7.09 tff(30090,plain,
% 9.51/7.09 (((~v39(constB26)) | (~v9(constB26))) | v39(constB26)),
% 9.51/7.09 inference(tautology,[status(thm)],[])).
% 9.51/7.09 tff(30091,plain,
% 9.51/7.09 ((~v39(constB26)) | (~v9(constB26))),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30090, 30089])).
% 9.51/7.09 tff(30092,plain,
% 9.51/7.09 ((~(v141(constB26) <=> (~((~v39(constB26)) | (~v9(constB26)))))) | (~v141(constB26)) | (~((~v39(constB26)) | (~v9(constB26))))),
% 9.51/7.09 inference(tautology,[status(thm)],[])).
% 9.51/7.09 tff(30093,plain,
% 9.51/7.09 ((~(v141(constB26) <=> (~((~v39(constB26)) | (~v9(constB26)))))) | (~v141(constB26))),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30092, 30091])).
% 9.51/7.09 tff(30094,plain,
% 9.51/7.09 (~v141(constB26)),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30093, 30084])).
% 9.51/7.09 tff(30095,plain,
% 9.51/7.09 (((~v141(constB26)) | (~v143(constB26))) | v141(constB26)),
% 9.51/7.09 inference(tautology,[status(thm)],[])).
% 9.51/7.09 tff(30096,plain,
% 9.51/7.09 ((~v141(constB26)) | (~v143(constB26))),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30095, 30094])).
% 9.51/7.09 tff(30097,plain,
% 9.51/7.09 ((~(v154(constB26) <=> (~((~v141(constB26)) | (~v143(constB26)))))) | (~v154(constB26)) | (~((~v141(constB26)) | (~v143(constB26))))),
% 9.51/7.09 inference(tautology,[status(thm)],[])).
% 9.51/7.09 tff(30098,plain,
% 9.51/7.09 ((~(v154(constB26) <=> (~((~v141(constB26)) | (~v143(constB26)))))) | (~v154(constB26))),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30097, 30096])).
% 9.51/7.09 tff(30099,plain,
% 9.51/7.09 (~v154(constB26)),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30098, 30082])).
% 9.51/7.09 tff(30100,plain,
% 9.51/7.09 (((~v132(constB26)) | (~v154(constB26))) | v154(constB26)),
% 9.51/7.09 inference(tautology,[status(thm)],[])).
% 9.51/7.09 tff(30101,plain,
% 9.51/7.09 ((~v132(constB26)) | (~v154(constB26))),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30100, 30099])).
% 9.51/7.09 tff(30102,plain,
% 9.51/7.09 ((~(v153(constB26) <=> (~((~v132(constB26)) | (~v154(constB26)))))) | (~v153(constB26)) | (~((~v132(constB26)) | (~v154(constB26))))),
% 9.51/7.09 inference(tautology,[status(thm)],[])).
% 9.51/7.09 tff(30103,plain,
% 9.51/7.09 (~v153(constB26)),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30102, 30101, 30075])).
% 9.51/7.09 tff(30104,plain,
% 9.51/7.09 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB26) <=> (~((~v130(constB26)) | (~v139(constB26)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB26) <=> (~((~v130(constB26)) | (~v139(constB26))))))),
% 9.51/7.09 inference(rewrite,[status(thm)],[])).
% 9.51/7.09 tff(30105,plain,
% 9.51/7.09 ((v155(constB26) <=> (~((~v139(constB26)) | (~v130(constB26))))) <=> (v155(constB26) <=> (~((~v130(constB26)) | (~v139(constB26)))))),
% 9.51/7.09 inference(rewrite,[status(thm)],[])).
% 9.51/7.09 tff(30106,plain,
% 9.51/7.09 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB26) <=> (~((~v139(constB26)) | (~v130(constB26)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB26) <=> (~((~v130(constB26)) | (~v139(constB26))))))),
% 9.51/7.09 inference(monotonicity,[status(thm)],[30105])).
% 9.51/7.09 tff(30107,plain,
% 9.51/7.09 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB26) <=> (~((~v139(constB26)) | (~v130(constB26)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB26) <=> (~((~v130(constB26)) | (~v139(constB26))))))),
% 9.51/7.09 inference(transitivity,[status(thm)],[30106, 30104])).
% 9.51/7.09 tff(30108,plain,
% 9.51/7.09 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB26) <=> (~((~v139(constB26)) | (~v130(constB26)))))),
% 9.51/7.09 inference(quant_inst,[status(thm)],[])).
% 9.51/7.09 tff(30109,plain,
% 9.51/7.09 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB26) <=> (~((~v130(constB26)) | (~v139(constB26)))))),
% 9.51/7.09 inference(modus_ponens,[status(thm)],[30108, 30107])).
% 9.51/7.09 tff(30110,plain,
% 9.51/7.09 (v155(constB26) <=> (~((~v130(constB26)) | (~v139(constB26))))),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30109, 447])).
% 9.51/7.09 tff(30111,plain,
% 9.51/7.09 ((~![VarNext: $i] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB26) <=> v152(constB26))),
% 9.51/7.09 inference(quant_inst,[status(thm)],[])).
% 9.51/7.09 tff(30112,plain,
% 9.51/7.09 (v130(constB26) <=> v152(constB26)),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30111, 361])).
% 9.51/7.09 tff(30113,plain,
% 9.51/7.09 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB25, constB26)) | (v152(constB26) <=> v150(constB25)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB25, constB26)) | (v152(constB26) <=> v150(constB25)))),
% 9.51/7.09 inference(rewrite,[status(thm)],[])).
% 9.51/7.09 tff(30114,plain,
% 9.51/7.09 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB25, constB26)) | (v152(constB26) <=> v150(constB25)))),
% 9.51/7.09 inference(quant_inst,[status(thm)],[])).
% 9.51/7.09 tff(30115,plain,
% 9.51/7.09 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB25, constB26)) | (v152(constB26) <=> v150(constB25))),
% 9.51/7.09 inference(modus_ponens,[status(thm)],[30114, 30113])).
% 9.51/7.09 tff(30116,plain,
% 9.51/7.09 (v152(constB26) <=> v150(constB25)),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30115, 8577, 373])).
% 9.51/7.09 tff(30117,plain,
% 9.51/7.09 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v153(VarCurr) | v155(VarCurr)))) | (v150(constB25) <=> (v153(constB25) | v155(constB25)))),
% 9.51/7.09 inference(quant_inst,[status(thm)],[])).
% 9.51/7.09 tff(30118,plain,
% 9.51/7.09 (v150(constB25) <=> (v153(constB25) | v155(constB25))),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30117, 387])).
% 9.51/7.09 tff(30119,plain,
% 9.51/7.09 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB25) <=> (~((~v130(constB25)) | (~v139(constB25)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB25) <=> (~((~v130(constB25)) | (~v139(constB25))))))),
% 9.51/7.09 inference(rewrite,[status(thm)],[])).
% 9.51/7.09 tff(30120,plain,
% 9.51/7.09 ((v155(constB25) <=> (~((~v139(constB25)) | (~v130(constB25))))) <=> (v155(constB25) <=> (~((~v130(constB25)) | (~v139(constB25)))))),
% 9.51/7.09 inference(rewrite,[status(thm)],[])).
% 9.51/7.09 tff(30121,plain,
% 9.51/7.09 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB25) <=> (~((~v139(constB25)) | (~v130(constB25)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB25) <=> (~((~v130(constB25)) | (~v139(constB25))))))),
% 9.51/7.09 inference(monotonicity,[status(thm)],[30120])).
% 9.51/7.09 tff(30122,plain,
% 9.51/7.09 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB25) <=> (~((~v139(constB25)) | (~v130(constB25)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB25) <=> (~((~v130(constB25)) | (~v139(constB25))))))),
% 9.51/7.09 inference(transitivity,[status(thm)],[30121, 30119])).
% 9.51/7.09 tff(30123,plain,
% 9.51/7.09 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB25) <=> (~((~v139(constB25)) | (~v130(constB25)))))),
% 9.51/7.09 inference(quant_inst,[status(thm)],[])).
% 9.51/7.09 tff(30124,plain,
% 9.51/7.09 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB25) <=> (~((~v130(constB25)) | (~v139(constB25)))))),
% 9.51/7.09 inference(modus_ponens,[status(thm)],[30123, 30122])).
% 9.51/7.09 tff(30125,plain,
% 9.51/7.09 (v155(constB25) <=> (~((~v130(constB25)) | (~v139(constB25))))),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30124, 447])).
% 9.51/7.09 tff(30126,plain,
% 9.51/7.09 ((~![VarCurr: $i] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB25)) <=> v140(constB25))),
% 9.51/7.09 inference(quant_inst,[status(thm)],[])).
% 9.51/7.09 tff(30127,plain,
% 9.51/7.09 ((~v139(constB25)) <=> v140(constB25)),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30126, 203])).
% 9.51/7.09 tff(30128,plain,
% 9.51/7.09 ((~![VarCurr: $i] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB25) <=> (v141(constB25) | v26(constB25)))),
% 9.51/7.09 inference(quant_inst,[status(thm)],[])).
% 9.51/7.09 tff(30129,plain,
% 9.51/7.09 (v140(constB25) <=> (v141(constB25) | v26(constB25))),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30128, 212])).
% 9.51/7.09 tff(30130,plain,
% 9.51/7.09 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB25) <=> (~((~v39(constB25)) | (~v9(constB25)))))),
% 9.51/7.09 inference(quant_inst,[status(thm)],[])).
% 9.51/7.09 tff(30131,plain,
% 9.51/7.09 (v141(constB25) <=> (~((~v39(constB25)) | (~v9(constB25))))),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30130, 130])).
% 9.51/7.09 tff(30132,plain,
% 9.51/7.09 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB25, constB26)) | (v13(constB26) <=> v9(constB25)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB25, constB26)) | (v13(constB26) <=> v9(constB25)))),
% 9.51/7.09 inference(rewrite,[status(thm)],[])).
% 9.51/7.09 tff(30133,plain,
% 9.51/7.09 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB25, constB26)) | (v13(constB26) <=> v9(constB25)))),
% 9.51/7.09 inference(quant_inst,[status(thm)],[])).
% 9.51/7.09 tff(30134,plain,
% 9.51/7.09 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB25, constB26)) | (v13(constB26) <=> v9(constB25))),
% 9.51/7.09 inference(modus_ponens,[status(thm)],[30133, 30132])).
% 9.51/7.09 tff(30135,plain,
% 9.51/7.09 (v13(constB26) <=> v9(constB25)),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30134, 8577, 226])).
% 9.51/7.09 tff(30136,plain,
% 9.51/7.09 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB26) <=> v13(constB26))),
% 9.51/7.09 inference(quant_inst,[status(thm)],[])).
% 9.51/7.09 tff(30137,plain,
% 9.51/7.09 (v6(constB26) <=> v13(constB26)),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30136, 240])).
% 9.51/7.09 tff(30138,plain,
% 9.51/7.09 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB26)) <=> v6(constB26))),
% 9.51/7.09 inference(quant_inst,[status(thm)],[])).
% 9.51/7.09 tff(30139,plain,
% 9.51/7.09 ((~v21(constB26)) <=> v6(constB26)),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30138, 249])).
% 9.51/7.09 tff(30140,plain,
% 9.51/7.09 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB26) <=> (v20(constB26) | v21(constB26)))),
% 9.51/7.09 inference(quant_inst,[status(thm)],[])).
% 9.51/7.09 tff(30141,plain,
% 9.51/7.09 (v19(constB26) <=> (v20(constB26) | v21(constB26))),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30140, 258])).
% 9.51/7.09 tff(30142,plain,
% 9.51/7.09 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB26) <=> (~((~v19(constB26)) | (~v22(constB26)))))),
% 9.51/7.09 inference(quant_inst,[status(thm)],[])).
% 9.51/7.09 tff(30143,plain,
% 9.51/7.09 (v18(constB26) <=> (~((~v19(constB26)) | (~v22(constB26))))),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30142, 270])).
% 9.51/7.09 tff(30144,plain,
% 9.51/7.09 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB26)) <=> v18(constB26))),
% 9.51/7.09 inference(quant_inst,[status(thm)],[])).
% 9.51/7.09 tff(30145,plain,
% 9.51/7.09 ((~v4(constB26)) <=> v18(constB26)),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30144, 279])).
% 9.51/7.09 tff(30146,plain,
% 9.51/7.09 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB26)),
% 9.51/7.09 inference(quant_inst,[status(thm)],[])).
% 9.51/7.09 tff(30147,plain,
% 9.51/7.09 (v4(constB26)),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30146, 288])).
% 9.51/7.09 tff(30148,plain,
% 9.51/7.09 ((~((~v4(constB26)) <=> v18(constB26))) | (~v4(constB26)) | (~v18(constB26))),
% 9.51/7.09 inference(tautology,[status(thm)],[])).
% 9.51/7.09 tff(30149,plain,
% 9.51/7.09 (~v18(constB26)),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30148, 30147, 30145])).
% 9.51/7.09 tff(30150,plain,
% 9.51/7.09 ((~(v18(constB26) <=> (~((~v19(constB26)) | (~v22(constB26)))))) | v18(constB26) | ((~v19(constB26)) | (~v22(constB26)))),
% 9.51/7.09 inference(tautology,[status(thm)],[])).
% 9.51/7.09 tff(30151,plain,
% 9.51/7.09 ((~v19(constB26)) | (~v22(constB26))),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30150, 30149, 30143])).
% 9.51/7.09 tff(30152,plain,
% 9.51/7.09 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB26) <=> (v1(constB26) | v6(constB26)))),
% 9.51/7.09 inference(quant_inst,[status(thm)],[])).
% 9.51/7.09 tff(30153,plain,
% 9.51/7.09 (v22(constB26) <=> (v1(constB26) | v6(constB26))),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30152, 301])).
% 9.51/7.09 tff(30154,plain,
% 9.51/7.09 ((v1(constB26) | v6(constB26)) | (~v1(constB26))),
% 9.51/7.09 inference(tautology,[status(thm)],[])).
% 9.51/7.09 tff(30155,plain,
% 9.51/7.09 (v1(constB26) | v6(constB26)),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30154, 8607])).
% 9.51/7.09 tff(30156,plain,
% 9.51/7.09 ((~(v22(constB26) <=> (v1(constB26) | v6(constB26)))) | v22(constB26) | (~(v1(constB26) | v6(constB26)))),
% 9.51/7.09 inference(tautology,[status(thm)],[])).
% 9.51/7.09 tff(30157,plain,
% 9.51/7.09 ((~(v22(constB26) <=> (v1(constB26) | v6(constB26)))) | v22(constB26)),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30156, 30155])).
% 9.51/7.09 tff(30158,plain,
% 9.51/7.09 (v22(constB26)),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30157, 30153])).
% 9.51/7.09 tff(30159,plain,
% 9.51/7.09 ((~((~v19(constB26)) | (~v22(constB26)))) | (~v19(constB26)) | (~v22(constB26))),
% 9.51/7.09 inference(tautology,[status(thm)],[])).
% 9.51/7.09 tff(30160,plain,
% 9.51/7.09 ((~((~v19(constB26)) | (~v22(constB26)))) | (~v19(constB26))),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30159, 30158])).
% 9.51/7.09 tff(30161,plain,
% 9.51/7.09 (~v19(constB26)),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30160, 30151])).
% 9.51/7.09 tff(30162,plain,
% 9.51/7.09 ((~(v19(constB26) <=> (v20(constB26) | v21(constB26)))) | v19(constB26) | (~(v20(constB26) | v21(constB26)))),
% 9.51/7.09 inference(tautology,[status(thm)],[])).
% 9.51/7.09 tff(30163,plain,
% 9.51/7.09 (~(v20(constB26) | v21(constB26))),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30162, 30161, 30141])).
% 9.51/7.09 tff(30164,plain,
% 9.51/7.09 ((v20(constB26) | v21(constB26)) | (~v21(constB26))),
% 9.51/7.09 inference(tautology,[status(thm)],[])).
% 9.51/7.09 tff(30165,plain,
% 9.51/7.09 (~v21(constB26)),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30164, 30163])).
% 9.51/7.09 tff(30166,plain,
% 9.51/7.09 ((~((~v21(constB26)) <=> v6(constB26))) | v21(constB26) | v6(constB26)),
% 9.51/7.09 inference(tautology,[status(thm)],[])).
% 9.51/7.09 tff(30167,plain,
% 9.51/7.09 (v6(constB26)),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30166, 30165, 30139])).
% 9.51/7.09 tff(30168,plain,
% 9.51/7.09 ((~(v6(constB26) <=> v13(constB26))) | (~v6(constB26)) | v13(constB26)),
% 9.51/7.09 inference(tautology,[status(thm)],[])).
% 9.51/7.09 tff(30169,plain,
% 9.51/7.09 (v13(constB26)),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30168, 30167, 30137])).
% 9.51/7.09 tff(30170,plain,
% 9.51/7.09 ((~(v13(constB26) <=> v9(constB25))) | (~v13(constB26)) | v9(constB25)),
% 9.51/7.09 inference(tautology,[status(thm)],[])).
% 9.51/7.09 tff(30171,plain,
% 9.51/7.09 (v9(constB25)),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30170, 30169, 30135])).
% 9.51/7.09 tff(30172,plain,
% 9.51/7.09 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB25)) <=> v1(constB25))),
% 9.51/7.09 inference(quant_inst,[status(thm)],[])).
% 9.51/7.09 tff(30173,plain,
% 9.51/7.09 ((~v39(constB25)) <=> v1(constB25)),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30172, 139])).
% 9.51/7.09 tff(30174,plain,
% 9.51/7.09 ((~((~v39(constB25)) <=> v1(constB25))) | v39(constB25) | v1(constB25)),
% 9.51/7.09 inference(tautology,[status(thm)],[])).
% 9.51/7.09 tff(30175,plain,
% 9.51/7.09 ((~((~v39(constB25)) <=> v1(constB25))) | v39(constB25)),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30174, 8599])).
% 9.51/7.09 tff(30176,plain,
% 9.51/7.09 (v39(constB25)),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30175, 30173])).
% 9.51/7.09 tff(30177,plain,
% 9.51/7.09 ((~((~v39(constB25)) | (~v9(constB25)))) | (~v39(constB25)) | (~v9(constB25))),
% 9.51/7.09 inference(tautology,[status(thm)],[])).
% 9.51/7.09 tff(30178,plain,
% 9.51/7.09 ((~((~v39(constB25)) | (~v9(constB25)))) | (~v9(constB25))),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30177, 30176])).
% 9.51/7.09 tff(30179,plain,
% 9.51/7.09 (~((~v39(constB25)) | (~v9(constB25)))),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30178, 30171])).
% 9.51/7.09 tff(30180,plain,
% 9.51/7.09 ((~(v141(constB25) <=> (~((~v39(constB25)) | (~v9(constB25)))))) | v141(constB25) | ((~v39(constB25)) | (~v9(constB25)))),
% 9.51/7.09 inference(tautology,[status(thm)],[])).
% 9.51/7.09 tff(30181,plain,
% 9.51/7.09 (v141(constB25)),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30180, 30179, 30131])).
% 9.51/7.09 tff(30182,plain,
% 9.51/7.09 ((v141(constB25) | v26(constB25)) | (~v141(constB25))),
% 9.51/7.09 inference(tautology,[status(thm)],[])).
% 9.51/7.09 tff(30183,plain,
% 9.51/7.09 (v141(constB25) | v26(constB25)),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30182, 30181])).
% 9.51/7.09 tff(30184,plain,
% 9.51/7.09 ((~(v140(constB25) <=> (v141(constB25) | v26(constB25)))) | v140(constB25) | (~(v141(constB25) | v26(constB25)))),
% 9.51/7.09 inference(tautology,[status(thm)],[])).
% 9.51/7.09 tff(30185,plain,
% 9.51/7.09 (v140(constB25)),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30184, 30183, 30129])).
% 9.51/7.09 tff(30186,plain,
% 9.51/7.09 ((~((~v139(constB25)) <=> v140(constB25))) | (~v139(constB25)) | (~v140(constB25))),
% 9.51/7.09 inference(tautology,[status(thm)],[])).
% 9.51/7.09 tff(30187,plain,
% 9.51/7.09 (~v139(constB25)),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30186, 30185, 30127])).
% 9.51/7.09 tff(30188,plain,
% 9.51/7.09 (((~v130(constB25)) | (~v139(constB25))) | v139(constB25)),
% 9.51/7.09 inference(tautology,[status(thm)],[])).
% 9.51/7.09 tff(30189,plain,
% 9.51/7.09 ((~v130(constB25)) | (~v139(constB25))),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30188, 30187])).
% 9.51/7.09 tff(30190,plain,
% 9.51/7.09 ((~(v155(constB25) <=> (~((~v130(constB25)) | (~v139(constB25)))))) | (~v155(constB25)) | (~((~v130(constB25)) | (~v139(constB25))))),
% 9.51/7.09 inference(tautology,[status(thm)],[])).
% 9.51/7.09 tff(30191,plain,
% 9.51/7.09 (~v155(constB25)),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30190, 30189, 30125])).
% 9.51/7.09 tff(30192,plain,
% 9.51/7.09 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB25) <=> (~((~v132(constB25)) | (~v154(constB25)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB25) <=> (~((~v132(constB25)) | (~v154(constB25))))))),
% 9.51/7.09 inference(rewrite,[status(thm)],[])).
% 9.51/7.09 tff(30193,plain,
% 9.51/7.09 ((v153(constB25) <=> (~((~v154(constB25)) | (~v132(constB25))))) <=> (v153(constB25) <=> (~((~v132(constB25)) | (~v154(constB25)))))),
% 9.51/7.09 inference(rewrite,[status(thm)],[])).
% 9.51/7.09 tff(30194,plain,
% 9.51/7.09 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB25) <=> (~((~v154(constB25)) | (~v132(constB25)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB25) <=> (~((~v132(constB25)) | (~v154(constB25))))))),
% 9.51/7.09 inference(monotonicity,[status(thm)],[30193])).
% 9.51/7.09 tff(30195,plain,
% 9.51/7.09 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB25) <=> (~((~v154(constB25)) | (~v132(constB25)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB25) <=> (~((~v132(constB25)) | (~v154(constB25))))))),
% 9.51/7.09 inference(transitivity,[status(thm)],[30194, 30192])).
% 9.51/7.09 tff(30196,plain,
% 9.51/7.09 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB25) <=> (~((~v154(constB25)) | (~v132(constB25)))))),
% 9.51/7.09 inference(quant_inst,[status(thm)],[])).
% 9.51/7.09 tff(30197,plain,
% 9.51/7.09 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB25) <=> (~((~v132(constB25)) | (~v154(constB25)))))),
% 9.51/7.09 inference(modus_ponens,[status(thm)],[30196, 30195])).
% 9.51/7.09 tff(30198,plain,
% 9.51/7.09 (v153(constB25) <=> (~((~v132(constB25)) | (~v154(constB25))))),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30197, 399])).
% 9.51/7.09 tff(30199,plain,
% 9.51/7.09 ((~![VarNext: $i] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB25) <=> v137(constB25))),
% 9.51/7.09 inference(quant_inst,[status(thm)],[])).
% 9.51/7.09 tff(30200,plain,
% 9.51/7.09 (v132(constB25) <=> v137(constB25)),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30199, 558])).
% 9.51/7.09 tff(30201,plain,
% 9.51/7.09 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB24, constB25)) | (v137(constB25) <=> v135(constB24)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB24, constB25)) | (v137(constB25) <=> v135(constB24)))),
% 9.51/7.09 inference(rewrite,[status(thm)],[])).
% 9.51/7.09 tff(30202,plain,
% 9.51/7.09 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB24, constB25)) | (v137(constB25) <=> v135(constB24)))),
% 9.51/7.09 inference(quant_inst,[status(thm)],[])).
% 9.51/7.09 tff(30203,plain,
% 9.51/7.09 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB24, constB25)) | (v137(constB25) <=> v135(constB24))),
% 9.51/7.09 inference(modus_ponens,[status(thm)],[30202, 30201])).
% 9.51/7.09 tff(30204,plain,
% 9.51/7.09 (v137(constB25) <=> v135(constB24)),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30203, 8632, 570])).
% 9.51/7.09 tff(30205,plain,
% 9.51/7.09 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB24) <=> (v138(constB24) | v142(constB24)))),
% 9.51/7.09 inference(quant_inst,[status(thm)],[])).
% 9.51/7.09 tff(30206,plain,
% 9.51/7.09 (v135(constB24) <=> (v138(constB24) | v142(constB24))),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30205, 584])).
% 9.51/7.09 tff(30207,plain,
% 9.51/7.09 ((~![VarCurr: $i] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB24) <=> (~((~v143(constB24)) | (~v144(constB24)))))),
% 9.51/7.09 inference(quant_inst,[status(thm)],[])).
% 9.51/7.09 tff(30208,plain,
% 9.51/7.09 (v142(constB24) <=> (~((~v143(constB24)) | (~v144(constB24))))),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30207, 596])).
% 9.51/7.09 tff(30209,plain,
% 9.51/7.09 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB24) <=> (~((~v141(constB24)) | (~v145(constB24)))))),
% 9.51/7.09 inference(quant_inst,[status(thm)],[])).
% 9.51/7.09 tff(30210,plain,
% 9.51/7.09 (v144(constB24) <=> (~((~v141(constB24)) | (~v145(constB24))))),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30209, 608])).
% 9.51/7.09 tff(30211,plain,
% 9.51/7.09 (((~v141(constB24)) | (~v145(constB24))) | v141(constB24)),
% 9.51/7.09 inference(tautology,[status(thm)],[])).
% 9.51/7.09 tff(30212,plain,
% 9.51/7.09 ((~v141(constB24)) | (~v145(constB24))),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30211, 26140])).
% 9.51/7.09 tff(30213,plain,
% 9.51/7.09 ((~(v144(constB24) <=> (~((~v141(constB24)) | (~v145(constB24)))))) | (~v144(constB24)) | (~((~v141(constB24)) | (~v145(constB24))))),
% 9.51/7.09 inference(tautology,[status(thm)],[])).
% 9.51/7.09 tff(30214,plain,
% 9.51/7.09 ((~(v144(constB24) <=> (~((~v141(constB24)) | (~v145(constB24)))))) | (~v144(constB24))),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30213, 30212])).
% 9.51/7.09 tff(30215,plain,
% 9.51/7.09 (~v144(constB24)),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30214, 30210])).
% 9.51/7.09 tff(30216,plain,
% 9.51/7.09 (((~v143(constB24)) | (~v144(constB24))) | v144(constB24)),
% 9.51/7.09 inference(tautology,[status(thm)],[])).
% 9.51/7.09 tff(30217,plain,
% 9.51/7.09 ((~v143(constB24)) | (~v144(constB24))),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30216, 30215])).
% 9.51/7.09 tff(30218,plain,
% 9.51/7.09 ((~(v142(constB24) <=> (~((~v143(constB24)) | (~v144(constB24)))))) | (~v142(constB24)) | (~((~v143(constB24)) | (~v144(constB24))))),
% 9.51/7.09 inference(tautology,[status(thm)],[])).
% 9.51/7.09 tff(30219,plain,
% 9.51/7.09 (~v142(constB24)),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30218, 30217, 30208])).
% 9.51/7.09 tff(30220,plain,
% 9.51/7.09 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB24) <=> (~((~v132(constB24)) | (~v139(constB24)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB24) <=> (~((~v132(constB24)) | (~v139(constB24))))))),
% 9.51/7.09 inference(rewrite,[status(thm)],[])).
% 9.51/7.09 tff(30221,plain,
% 9.51/7.09 ((v138(constB24) <=> (~((~v139(constB24)) | (~v132(constB24))))) <=> (v138(constB24) <=> (~((~v132(constB24)) | (~v139(constB24)))))),
% 9.51/7.09 inference(rewrite,[status(thm)],[])).
% 9.51/7.09 tff(30222,plain,
% 9.51/7.09 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB24) <=> (~((~v139(constB24)) | (~v132(constB24)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB24) <=> (~((~v132(constB24)) | (~v139(constB24))))))),
% 9.51/7.09 inference(monotonicity,[status(thm)],[30221])).
% 9.51/7.09 tff(30223,plain,
% 9.51/7.09 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB24) <=> (~((~v139(constB24)) | (~v132(constB24)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB24) <=> (~((~v132(constB24)) | (~v139(constB24))))))),
% 9.51/7.09 inference(transitivity,[status(thm)],[30222, 30220])).
% 9.51/7.09 tff(30224,plain,
% 9.51/7.09 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB24) <=> (~((~v139(constB24)) | (~v132(constB24)))))),
% 9.51/7.09 inference(quant_inst,[status(thm)],[])).
% 9.51/7.09 tff(30225,plain,
% 9.51/7.09 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB24) <=> (~((~v132(constB24)) | (~v139(constB24)))))),
% 9.51/7.09 inference(modus_ponens,[status(thm)],[30224, 30223])).
% 9.51/7.09 tff(30226,plain,
% 9.51/7.09 (v138(constB24) <=> (~((~v132(constB24)) | (~v139(constB24))))),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30225, 644])).
% 9.51/7.09 tff(30227,plain,
% 9.51/7.09 ((~![VarNext: $i] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB24) <=> v137(constB24))),
% 9.51/7.09 inference(quant_inst,[status(thm)],[])).
% 9.51/7.09 tff(30228,plain,
% 9.51/7.09 (v132(constB24) <=> v137(constB24)),
% 9.51/7.09 inference(unit_resolution,[status(thm)],[30227, 558])).
% 9.51/7.09 tff(30229,plain,
% 9.51/7.09 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB23, constB24)) | (v137(constB24) <=> v135(constB23)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB23, constB24)) | (v137(constB24) <=> v135(constB23)))),
% 9.51/7.10 inference(rewrite,[status(thm)],[])).
% 9.51/7.10 tff(30230,plain,
% 9.51/7.10 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB23, constB24)) | (v137(constB24) <=> v135(constB23)))),
% 9.51/7.10 inference(quant_inst,[status(thm)],[])).
% 9.51/7.10 tff(30231,plain,
% 9.51/7.10 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB23, constB24)) | (v137(constB24) <=> v135(constB23))),
% 9.51/7.10 inference(modus_ponens,[status(thm)],[30230, 30229])).
% 9.51/7.10 tff(30232,plain,
% 9.51/7.10 (v137(constB24) <=> v135(constB23)),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30231, 8664, 570])).
% 9.51/7.10 tff(30233,plain,
% 9.51/7.10 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB23) <=> (v138(constB23) | v142(constB23)))),
% 9.51/7.10 inference(quant_inst,[status(thm)],[])).
% 9.51/7.10 tff(30234,plain,
% 9.51/7.10 (v135(constB23) <=> (v138(constB23) | v142(constB23))),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30233, 584])).
% 9.51/7.10 tff(30235,plain,
% 9.51/7.10 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB23) <=> (~((~v132(constB23)) | (~v139(constB23)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB23) <=> (~((~v132(constB23)) | (~v139(constB23))))))),
% 9.51/7.10 inference(rewrite,[status(thm)],[])).
% 9.51/7.10 tff(30236,plain,
% 9.51/7.10 ((v138(constB23) <=> (~((~v139(constB23)) | (~v132(constB23))))) <=> (v138(constB23) <=> (~((~v132(constB23)) | (~v139(constB23)))))),
% 9.51/7.10 inference(rewrite,[status(thm)],[])).
% 9.51/7.10 tff(30237,plain,
% 9.51/7.10 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB23) <=> (~((~v139(constB23)) | (~v132(constB23)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB23) <=> (~((~v132(constB23)) | (~v139(constB23))))))),
% 9.51/7.10 inference(monotonicity,[status(thm)],[30236])).
% 9.51/7.10 tff(30238,plain,
% 9.51/7.10 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB23) <=> (~((~v139(constB23)) | (~v132(constB23)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB23) <=> (~((~v132(constB23)) | (~v139(constB23))))))),
% 9.51/7.10 inference(transitivity,[status(thm)],[30237, 30235])).
% 9.51/7.10 tff(30239,plain,
% 9.51/7.10 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB23) <=> (~((~v139(constB23)) | (~v132(constB23)))))),
% 9.51/7.10 inference(quant_inst,[status(thm)],[])).
% 9.51/7.10 tff(30240,plain,
% 9.51/7.10 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB23) <=> (~((~v132(constB23)) | (~v139(constB23)))))),
% 9.51/7.10 inference(modus_ponens,[status(thm)],[30239, 30238])).
% 9.51/7.10 tff(30241,plain,
% 9.51/7.10 (v138(constB23) <=> (~((~v132(constB23)) | (~v139(constB23))))),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30240, 644])).
% 9.51/7.10 tff(30242,plain,
% 9.51/7.10 (((~v132(constB23)) | (~v139(constB23))) | v139(constB23)),
% 9.51/7.10 inference(tautology,[status(thm)],[])).
% 9.51/7.10 tff(30243,plain,
% 9.51/7.10 ((~v132(constB23)) | (~v139(constB23))),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30242, 26233])).
% 9.51/7.10 tff(30244,plain,
% 9.51/7.10 ((~(v138(constB23) <=> (~((~v132(constB23)) | (~v139(constB23)))))) | (~v138(constB23)) | (~((~v132(constB23)) | (~v139(constB23))))),
% 9.51/7.10 inference(tautology,[status(thm)],[])).
% 9.51/7.10 tff(30245,plain,
% 9.51/7.10 (~v138(constB23)),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30244, 30243, 30241])).
% 9.51/7.10 tff(30246,plain,
% 9.51/7.10 ((~![VarCurr: $i] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB23) <=> (~((~v143(constB23)) | (~v144(constB23)))))),
% 9.51/7.10 inference(quant_inst,[status(thm)],[])).
% 9.51/7.10 tff(30247,plain,
% 9.51/7.10 (v142(constB23) <=> (~((~v143(constB23)) | (~v144(constB23))))),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30246, 596])).
% 9.51/7.10 tff(30248,plain,
% 9.51/7.10 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB23) <=> (~((~v141(constB23)) | (~v145(constB23)))))),
% 9.51/7.10 inference(quant_inst,[status(thm)],[])).
% 9.51/7.10 tff(30249,plain,
% 9.51/7.10 (v144(constB23) <=> (~((~v141(constB23)) | (~v145(constB23))))),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30248, 608])).
% 9.51/7.10 tff(30250,plain,
% 9.51/7.10 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB23) <=> (~(v84(constB23, bitIndex2) | v84(constB23, bitIndex1) | (~v84(constB23, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB23) <=> (~(v84(constB23, bitIndex2) | v84(constB23, bitIndex1) | (~v84(constB23, bitIndex0))))))),
% 9.51/7.10 inference(rewrite,[status(thm)],[])).
% 9.51/7.10 tff(30251,plain,
% 9.51/7.10 ((v145(constB23) <=> (~(v84(constB23, bitIndex1) | v84(constB23, bitIndex2) | (~v84(constB23, bitIndex0))))) <=> (v145(constB23) <=> (~(v84(constB23, bitIndex2) | v84(constB23, bitIndex1) | (~v84(constB23, bitIndex0)))))),
% 9.51/7.10 inference(rewrite,[status(thm)],[])).
% 9.51/7.10 tff(30252,plain,
% 9.51/7.10 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB23) <=> (~(v84(constB23, bitIndex1) | v84(constB23, bitIndex2) | (~v84(constB23, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB23) <=> (~(v84(constB23, bitIndex2) | v84(constB23, bitIndex1) | (~v84(constB23, bitIndex0))))))),
% 9.51/7.10 inference(monotonicity,[status(thm)],[30251])).
% 9.51/7.10 tff(30253,plain,
% 9.51/7.10 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB23) <=> (~(v84(constB23, bitIndex1) | v84(constB23, bitIndex2) | (~v84(constB23, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB23) <=> (~(v84(constB23, bitIndex2) | v84(constB23, bitIndex1) | (~v84(constB23, bitIndex0))))))),
% 9.51/7.10 inference(transitivity,[status(thm)],[30252, 30250])).
% 9.51/7.10 tff(30254,plain,
% 9.51/7.10 ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB23) <=> (~(v84(constB23, bitIndex1) | v84(constB23, bitIndex2) | (~v84(constB23, bitIndex0)))))),
% 9.51/7.10 inference(quant_inst,[status(thm)],[])).
% 9.51/7.10 tff(30255,plain,
% 9.51/7.10 ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB23) <=> (~(v84(constB23, bitIndex2) | v84(constB23, bitIndex1) | (~v84(constB23, bitIndex0)))))),
% 9.51/7.10 inference(modus_ponens,[status(thm)],[30254, 30253])).
% 9.51/7.10 tff(30256,plain,
% 9.51/7.10 (v145(constB23) <=> (~(v84(constB23, bitIndex2) | v84(constB23, bitIndex1) | (~v84(constB23, bitIndex0))))),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30255, 755])).
% 9.51/7.10 tff(30257,plain,
% 9.51/7.10 ((v84(constB23, bitIndex2) | v84(constB23, bitIndex1) | (~v84(constB23, bitIndex0))) | (~v84(constB23, bitIndex2))),
% 9.51/7.10 inference(tautology,[status(thm)],[])).
% 9.51/7.10 tff(30258,plain,
% 9.51/7.10 (v84(constB23, bitIndex2) | v84(constB23, bitIndex1) | (~v84(constB23, bitIndex0))),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30257, 11715])).
% 9.51/7.10 tff(30259,plain,
% 9.51/7.10 ((~(v145(constB23) <=> (~(v84(constB23, bitIndex2) | v84(constB23, bitIndex1) | (~v84(constB23, bitIndex0)))))) | (~v145(constB23)) | (~(v84(constB23, bitIndex2) | v84(constB23, bitIndex1) | (~v84(constB23, bitIndex0))))),
% 9.51/7.10 inference(tautology,[status(thm)],[])).
% 9.51/7.10 tff(30260,plain,
% 9.51/7.10 (~v145(constB23)),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30259, 30258, 30256])).
% 9.51/7.10 tff(30261,plain,
% 9.51/7.10 (((~v141(constB23)) | (~v145(constB23))) | v145(constB23)),
% 9.51/7.10 inference(tautology,[status(thm)],[])).
% 9.51/7.10 tff(30262,plain,
% 9.51/7.10 ((~v141(constB23)) | (~v145(constB23))),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30261, 30260])).
% 9.51/7.10 tff(30263,plain,
% 9.51/7.10 ((~(v144(constB23) <=> (~((~v141(constB23)) | (~v145(constB23)))))) | (~v144(constB23)) | (~((~v141(constB23)) | (~v145(constB23))))),
% 9.51/7.10 inference(tautology,[status(thm)],[])).
% 9.51/7.10 tff(30264,plain,
% 9.51/7.10 (~v144(constB23)),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30263, 30262, 30249])).
% 9.51/7.10 tff(30265,plain,
% 9.51/7.10 (((~v143(constB23)) | (~v144(constB23))) | v144(constB23)),
% 9.51/7.10 inference(tautology,[status(thm)],[])).
% 9.51/7.10 tff(30266,plain,
% 9.51/7.10 ((~v143(constB23)) | (~v144(constB23))),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30265, 30264])).
% 9.51/7.10 tff(30267,plain,
% 9.51/7.10 ((~(v142(constB23) <=> (~((~v143(constB23)) | (~v144(constB23)))))) | (~v142(constB23)) | (~((~v143(constB23)) | (~v144(constB23))))),
% 9.51/7.10 inference(tautology,[status(thm)],[])).
% 9.51/7.10 tff(30268,plain,
% 9.51/7.10 (~v142(constB23)),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30267, 30266, 30247])).
% 9.51/7.10 tff(30269,plain,
% 9.51/7.10 ((~(v138(constB23) | v142(constB23))) | v138(constB23) | v142(constB23)),
% 9.51/7.10 inference(tautology,[status(thm)],[])).
% 9.51/7.10 tff(30270,plain,
% 9.51/7.10 (~(v138(constB23) | v142(constB23))),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30269, 30268, 30245])).
% 9.51/7.10 tff(30271,plain,
% 9.51/7.10 ((~(v135(constB23) <=> (v138(constB23) | v142(constB23)))) | (~v135(constB23)) | (v138(constB23) | v142(constB23))),
% 9.51/7.10 inference(tautology,[status(thm)],[])).
% 9.51/7.10 tff(30272,plain,
% 9.51/7.10 (~v135(constB23)),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30271, 30270, 30234])).
% 9.51/7.10 tff(30273,plain,
% 9.51/7.10 ((~(v137(constB24) <=> v135(constB23))) | (~v137(constB24)) | v135(constB23)),
% 9.51/7.10 inference(tautology,[status(thm)],[])).
% 9.51/7.10 tff(30274,plain,
% 9.51/7.10 (~v137(constB24)),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30273, 30272, 30232])).
% 9.51/7.10 tff(30275,plain,
% 9.51/7.10 ((~(v132(constB24) <=> v137(constB24))) | (~v132(constB24)) | v137(constB24)),
% 9.51/7.10 inference(tautology,[status(thm)],[])).
% 9.51/7.10 tff(30276,plain,
% 9.51/7.10 (~v132(constB24)),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30275, 30274, 30228])).
% 9.51/7.10 tff(30277,plain,
% 9.51/7.10 (((~v132(constB24)) | (~v139(constB24))) | v132(constB24)),
% 9.51/7.10 inference(tautology,[status(thm)],[])).
% 9.51/7.10 tff(30278,plain,
% 9.51/7.10 ((~v132(constB24)) | (~v139(constB24))),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30277, 30276])).
% 9.51/7.10 tff(30279,plain,
% 9.51/7.10 ((~(v138(constB24) <=> (~((~v132(constB24)) | (~v139(constB24)))))) | (~v138(constB24)) | (~((~v132(constB24)) | (~v139(constB24))))),
% 9.51/7.10 inference(tautology,[status(thm)],[])).
% 9.51/7.10 tff(30280,plain,
% 9.51/7.10 (~v138(constB24)),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30279, 30278, 30226])).
% 9.51/7.10 tff(30281,plain,
% 9.51/7.10 ((~(v138(constB24) | v142(constB24))) | v138(constB24) | v142(constB24)),
% 9.51/7.10 inference(tautology,[status(thm)],[])).
% 9.51/7.10 tff(30282,plain,
% 9.51/7.10 (~(v138(constB24) | v142(constB24))),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30281, 30280, 30219])).
% 9.51/7.10 tff(30283,plain,
% 9.51/7.10 ((~(v135(constB24) <=> (v138(constB24) | v142(constB24)))) | (~v135(constB24)) | (v138(constB24) | v142(constB24))),
% 9.51/7.10 inference(tautology,[status(thm)],[])).
% 9.51/7.10 tff(30284,plain,
% 9.51/7.10 (~v135(constB24)),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30283, 30282, 30206])).
% 9.51/7.10 tff(30285,plain,
% 9.51/7.10 ((~(v137(constB25) <=> v135(constB24))) | (~v137(constB25)) | v135(constB24)),
% 9.51/7.10 inference(tautology,[status(thm)],[])).
% 9.51/7.10 tff(30286,plain,
% 9.51/7.10 (~v137(constB25)),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30285, 30284, 30204])).
% 9.51/7.10 tff(30287,plain,
% 9.51/7.10 ((~(v132(constB25) <=> v137(constB25))) | (~v132(constB25)) | v137(constB25)),
% 9.51/7.10 inference(tautology,[status(thm)],[])).
% 9.51/7.10 tff(30288,plain,
% 9.51/7.10 (~v132(constB25)),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30287, 30286, 30200])).
% 9.51/7.10 tff(30289,plain,
% 9.51/7.10 (((~v132(constB25)) | (~v154(constB25))) | v132(constB25)),
% 9.51/7.10 inference(tautology,[status(thm)],[])).
% 9.51/7.10 tff(30290,plain,
% 9.51/7.10 ((~v132(constB25)) | (~v154(constB25))),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30289, 30288])).
% 9.51/7.10 tff(30291,plain,
% 9.51/7.10 ((~(v153(constB25) <=> (~((~v132(constB25)) | (~v154(constB25)))))) | (~v153(constB25)) | (~((~v132(constB25)) | (~v154(constB25))))),
% 9.51/7.10 inference(tautology,[status(thm)],[])).
% 9.51/7.10 tff(30292,plain,
% 9.51/7.10 (~v153(constB25)),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30291, 30290, 30198])).
% 9.51/7.10 tff(30293,plain,
% 9.51/7.10 ((~(v153(constB25) | v155(constB25))) | v153(constB25) | v155(constB25)),
% 9.51/7.10 inference(tautology,[status(thm)],[])).
% 9.51/7.10 tff(30294,plain,
% 9.51/7.10 (~(v153(constB25) | v155(constB25))),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30293, 30292, 30191])).
% 9.51/7.10 tff(30295,plain,
% 9.51/7.10 ((~(v150(constB25) <=> (v153(constB25) | v155(constB25)))) | (~v150(constB25)) | (v153(constB25) | v155(constB25))),
% 9.51/7.10 inference(tautology,[status(thm)],[])).
% 9.51/7.10 tff(30296,plain,
% 9.51/7.10 (~v150(constB25)),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30295, 30294, 30118])).
% 9.51/7.10 tff(30297,plain,
% 9.51/7.10 ((~(v152(constB26) <=> v150(constB25))) | (~v152(constB26)) | v150(constB25)),
% 9.51/7.10 inference(tautology,[status(thm)],[])).
% 9.51/7.10 tff(30298,plain,
% 9.51/7.10 (~v152(constB26)),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30297, 30296, 30116])).
% 9.51/7.10 tff(30299,plain,
% 9.51/7.10 ((~(v130(constB26) <=> v152(constB26))) | (~v130(constB26)) | v152(constB26)),
% 9.51/7.10 inference(tautology,[status(thm)],[])).
% 9.51/7.10 tff(30300,plain,
% 9.51/7.10 (~v130(constB26)),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30299, 30298, 30112])).
% 9.51/7.10 tff(30301,plain,
% 9.51/7.10 (((~v130(constB26)) | (~v139(constB26))) | v130(constB26)),
% 9.51/7.10 inference(tautology,[status(thm)],[])).
% 9.51/7.10 tff(30302,plain,
% 9.51/7.10 ((~v130(constB26)) | (~v139(constB26))),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30301, 30300])).
% 9.51/7.10 tff(30303,plain,
% 9.51/7.10 ((~(v155(constB26) <=> (~((~v130(constB26)) | (~v139(constB26)))))) | (~v155(constB26)) | (~((~v130(constB26)) | (~v139(constB26))))),
% 9.51/7.10 inference(tautology,[status(thm)],[])).
% 9.51/7.10 tff(30304,plain,
% 9.51/7.10 (~v155(constB26)),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30303, 30302, 30110])).
% 9.51/7.10 tff(30305,plain,
% 9.51/7.10 ((~(v153(constB26) | v155(constB26))) | v153(constB26) | v155(constB26)),
% 9.51/7.10 inference(tautology,[status(thm)],[])).
% 9.51/7.10 tff(30306,plain,
% 9.51/7.10 (~(v153(constB26) | v155(constB26))),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30305, 30304, 30103])).
% 9.51/7.10 tff(30307,plain,
% 9.51/7.10 ((~(v150(constB26) <=> (v153(constB26) | v155(constB26)))) | (~v150(constB26)) | (v153(constB26) | v155(constB26))),
% 9.51/7.10 inference(tautology,[status(thm)],[])).
% 9.51/7.10 tff(30308,plain,
% 9.51/7.10 (~v150(constB26)),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30307, 30306, 30068])).
% 9.51/7.10 tff(30309,plain,
% 9.51/7.10 ((~(v152(constB27) <=> v150(constB26))) | (~v152(constB27)) | v150(constB26)),
% 9.51/7.10 inference(tautology,[status(thm)],[])).
% 9.51/7.10 tff(30310,plain,
% 9.51/7.10 (~v152(constB27)),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30309, 30308, 30066])).
% 9.51/7.10 tff(30311,plain,
% 9.51/7.10 ((~(v130(constB27) <=> v152(constB27))) | (~v130(constB27)) | v152(constB27)),
% 9.51/7.10 inference(tautology,[status(thm)],[])).
% 9.51/7.10 tff(30312,plain,
% 9.51/7.10 (~v130(constB27)),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30311, 30310, 30062])).
% 9.51/7.10 tff(30313,plain,
% 9.51/7.10 (((~v130(constB27)) | (~v154(constB27))) | v130(constB27)),
% 9.51/7.10 inference(tautology,[status(thm)],[])).
% 9.51/7.10 tff(30314,plain,
% 9.51/7.10 ((~v130(constB27)) | (~v154(constB27))),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30313, 30312])).
% 9.51/7.10 tff(30315,plain,
% 9.51/7.10 ((~(v164(constB27) <=> (~((~v130(constB27)) | (~v154(constB27)))))) | (~v164(constB27)) | (~((~v130(constB27)) | (~v154(constB27))))),
% 9.51/7.10 inference(tautology,[status(thm)],[])).
% 9.51/7.10 tff(30316,plain,
% 9.51/7.10 (~v164(constB27)),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30315, 30314, 30060])).
% 9.51/7.10 tff(30317,plain,
% 9.51/7.10 ((~(v163(constB27) | v164(constB27))) | v163(constB27) | v164(constB27)),
% 9.51/7.10 inference(tautology,[status(thm)],[])).
% 9.51/7.10 tff(30318,plain,
% 9.51/7.10 (~(v163(constB27) | v164(constB27))),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30317, 30316, 30053])).
% 9.51/7.10 tff(30319,plain,
% 9.51/7.10 ((~(v160(constB27) <=> (v163(constB27) | v164(constB27)))) | (~v160(constB27)) | (v163(constB27) | v164(constB27))),
% 9.51/7.10 inference(tautology,[status(thm)],[])).
% 9.51/7.10 tff(30320,plain,
% 9.51/7.10 (~v160(constB27)),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30319, 30318, 29980])).
% 9.51/7.10 tff(30321,plain,
% 9.51/7.10 ((~(v162(constB28) <=> v160(constB27))) | (~v162(constB28)) | v160(constB27)),
% 9.51/7.10 inference(tautology,[status(thm)],[])).
% 9.51/7.10 tff(30322,plain,
% 9.51/7.10 (~v162(constB28)),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30321, 30320, 29978])).
% 9.51/7.10 tff(30323,plain,
% 9.51/7.10 ((~(v128(constB28) <=> v162(constB28))) | (~v128(constB28)) | v162(constB28)),
% 9.51/7.10 inference(tautology,[status(thm)],[])).
% 9.51/7.10 tff(30324,plain,
% 9.51/7.10 (~v128(constB28)),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30323, 30322, 29974])).
% 9.51/7.10 tff(30325,plain,
% 9.51/7.10 (((~v128(constB28)) | (~v139(constB28))) | v128(constB28)),
% 9.51/7.10 inference(tautology,[status(thm)],[])).
% 9.51/7.10 tff(30326,plain,
% 9.51/7.10 ((~v128(constB28)) | (~v139(constB28))),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30325, 30324])).
% 9.51/7.10 tff(30327,plain,
% 9.51/7.10 ((~(v163(constB28) <=> (~((~v128(constB28)) | (~v139(constB28)))))) | (~v163(constB28)) | (~((~v128(constB28)) | (~v139(constB28))))),
% 9.51/7.10 inference(tautology,[status(thm)],[])).
% 9.51/7.10 tff(30328,plain,
% 9.51/7.10 (~v163(constB28)),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30327, 30326, 29972])).
% 9.51/7.10 tff(30329,plain,
% 9.51/7.10 ((~(v163(constB28) | v164(constB28))) | v163(constB28) | v164(constB28)),
% 9.51/7.10 inference(tautology,[status(thm)],[])).
% 9.51/7.10 tff(30330,plain,
% 9.51/7.10 (~(v163(constB28) | v164(constB28))),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30329, 30328, 29965])).
% 9.51/7.10 tff(30331,plain,
% 9.51/7.10 ((~(v160(constB28) <=> (v163(constB28) | v164(constB28)))) | (~v160(constB28)) | (v163(constB28) | v164(constB28))),
% 9.51/7.10 inference(tautology,[status(thm)],[])).
% 9.51/7.10 tff(30332,plain,
% 9.51/7.10 (~v160(constB28)),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30331, 30330, 29930])).
% 9.51/7.10 tff(30333,plain,
% 9.51/7.10 ((~(v162(constB29) <=> v160(constB28))) | (~v162(constB29)) | v160(constB28)),
% 9.51/7.10 inference(tautology,[status(thm)],[])).
% 9.51/7.10 tff(30334,plain,
% 9.51/7.10 (~v162(constB29)),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30333, 30332, 29928])).
% 9.51/7.10 tff(30335,plain,
% 9.51/7.10 ($false),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30334, 29924])).
% 9.51/7.10 tff(30336,plain,(~(constB29 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.51/7.10 tff(30337,assumption,(constB125 = VarCurr!0), introduced(assumption)).
% 9.51/7.10 tff(30338,plain,
% 9.51/7.10 (v162(constB125) <=> v162(VarCurr!0)),
% 9.51/7.10 inference(monotonicity,[status(thm)],[30337])).
% 9.51/7.10 tff(30339,plain,
% 9.51/7.10 (v162(VarCurr!0) <=> v162(constB125)),
% 9.51/7.10 inference(symmetry,[status(thm)],[30338])).
% 9.51/7.10 tff(30340,plain,
% 9.51/7.10 (v162(constB125)),
% 9.51/7.10 inference(modus_ponens,[status(thm)],[59, 30339])).
% 9.51/7.10 tff(30341,plain,
% 9.51/7.10 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB124, constB125)) | (v162(constB125) <=> v160(constB124)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB124, constB125)) | (v162(constB125) <=> v160(constB124)))),
% 9.51/7.10 inference(rewrite,[status(thm)],[])).
% 9.51/7.10 tff(30342,plain,
% 9.51/7.10 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB124, constB125)) | (v162(constB125) <=> v160(constB124)))),
% 9.51/7.10 inference(quant_inst,[status(thm)],[])).
% 9.51/7.10 tff(30343,plain,
% 9.51/7.10 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB124, constB125)) | (v162(constB125) <=> v160(constB124))),
% 9.51/7.10 inference(modus_ponens,[status(thm)],[30342, 30341])).
% 9.51/7.10 tff(30344,plain,
% 9.51/7.10 (v162(constB125) <=> v160(constB124)),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30343, 4072, 70])).
% 9.51/7.10 tff(30345,plain,
% 9.51/7.10 ((~![VarCurr: $i] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB124) <=> (v163(constB124) | v164(constB124)))),
% 9.51/7.10 inference(quant_inst,[status(thm)],[])).
% 9.51/7.10 tff(30346,plain,
% 9.51/7.10 (v160(constB124) <=> (v163(constB124) | v164(constB124))),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30345, 84])).
% 9.51/7.10 tff(30347,plain,
% 9.51/7.10 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB124) <=> (~((~v130(constB124)) | (~v154(constB124)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB124) <=> (~((~v130(constB124)) | (~v154(constB124))))))),
% 9.51/7.10 inference(rewrite,[status(thm)],[])).
% 9.51/7.10 tff(30348,plain,
% 9.51/7.10 ((v164(constB124) <=> (~((~v154(constB124)) | (~v130(constB124))))) <=> (v164(constB124) <=> (~((~v130(constB124)) | (~v154(constB124)))))),
% 9.51/7.10 inference(rewrite,[status(thm)],[])).
% 9.51/7.10 tff(30349,plain,
% 9.51/7.10 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB124) <=> (~((~v154(constB124)) | (~v130(constB124)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB124) <=> (~((~v130(constB124)) | (~v154(constB124))))))),
% 9.51/7.10 inference(monotonicity,[status(thm)],[30348])).
% 9.51/7.10 tff(30350,plain,
% 9.51/7.10 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB124) <=> (~((~v154(constB124)) | (~v130(constB124)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB124) <=> (~((~v130(constB124)) | (~v154(constB124))))))),
% 9.51/7.10 inference(transitivity,[status(thm)],[30349, 30347])).
% 9.51/7.10 tff(30351,plain,
% 9.51/7.10 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB124) <=> (~((~v154(constB124)) | (~v130(constB124)))))),
% 9.51/7.10 inference(quant_inst,[status(thm)],[])).
% 9.51/7.10 tff(30352,plain,
% 9.51/7.10 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB124) <=> (~((~v130(constB124)) | (~v154(constB124)))))),
% 9.51/7.10 inference(modus_ponens,[status(thm)],[30351, 30350])).
% 9.51/7.10 tff(30353,plain,
% 9.51/7.10 (v164(constB124) <=> (~((~v130(constB124)) | (~v154(constB124))))),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30352, 96])).
% 9.51/7.10 tff(30354,plain,
% 9.51/7.10 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB124) <=> (~((~v141(constB124)) | (~v143(constB124)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB124) <=> (~((~v141(constB124)) | (~v143(constB124))))))),
% 9.51/7.10 inference(rewrite,[status(thm)],[])).
% 9.51/7.10 tff(30355,plain,
% 9.51/7.10 ((v154(constB124) <=> (~((~v143(constB124)) | (~v141(constB124))))) <=> (v154(constB124) <=> (~((~v141(constB124)) | (~v143(constB124)))))),
% 9.51/7.10 inference(rewrite,[status(thm)],[])).
% 9.51/7.10 tff(30356,plain,
% 9.51/7.10 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB124) <=> (~((~v143(constB124)) | (~v141(constB124)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB124) <=> (~((~v141(constB124)) | (~v143(constB124))))))),
% 9.51/7.10 inference(monotonicity,[status(thm)],[30355])).
% 9.51/7.10 tff(30357,plain,
% 9.51/7.10 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB124) <=> (~((~v143(constB124)) | (~v141(constB124)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB124) <=> (~((~v141(constB124)) | (~v143(constB124))))))),
% 9.51/7.10 inference(transitivity,[status(thm)],[30356, 30354])).
% 9.51/7.10 tff(30358,plain,
% 9.51/7.10 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB124) <=> (~((~v143(constB124)) | (~v141(constB124)))))),
% 9.51/7.10 inference(quant_inst,[status(thm)],[])).
% 9.51/7.10 tff(30359,plain,
% 9.51/7.10 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB124) <=> (~((~v141(constB124)) | (~v143(constB124)))))),
% 9.51/7.10 inference(modus_ponens,[status(thm)],[30358, 30357])).
% 9.51/7.10 tff(30360,plain,
% 9.51/7.10 (v154(constB124) <=> (~((~v141(constB124)) | (~v143(constB124))))),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30359, 113])).
% 9.51/7.10 tff(30361,plain,
% 9.51/7.10 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB124) <=> (~((~v39(constB124)) | (~v9(constB124)))))),
% 9.51/7.10 inference(quant_inst,[status(thm)],[])).
% 9.51/7.10 tff(30362,plain,
% 9.51/7.10 (v141(constB124) <=> (~((~v39(constB124)) | (~v9(constB124))))),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30361, 130])).
% 9.51/7.10 tff(30363,plain,
% 9.51/7.10 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB124)) <=> v1(constB124))),
% 9.51/7.10 inference(quant_inst,[status(thm)],[])).
% 9.51/7.10 tff(30364,plain,
% 9.51/7.10 ((~v39(constB124)) <=> v1(constB124)),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30363, 139])).
% 9.51/7.10 tff(30365,plain,
% 9.51/7.10 ((~((~v39(constB124)) <=> v1(constB124))) | (~v39(constB124)) | (~v1(constB124))),
% 9.51/7.10 inference(tautology,[status(thm)],[])).
% 9.51/7.10 tff(30366,plain,
% 9.51/7.10 ((~((~v39(constB124)) <=> v1(constB124))) | (~v39(constB124))),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30365, 4134])).
% 9.51/7.10 tff(30367,plain,
% 9.51/7.10 (~v39(constB124)),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30366, 30364])).
% 9.51/7.10 tff(30368,plain,
% 9.51/7.10 (((~v39(constB124)) | (~v9(constB124))) | v39(constB124)),
% 9.51/7.10 inference(tautology,[status(thm)],[])).
% 9.51/7.10 tff(30369,plain,
% 9.51/7.10 ((~v39(constB124)) | (~v9(constB124))),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30368, 30367])).
% 9.51/7.10 tff(30370,plain,
% 9.51/7.10 ((~(v141(constB124) <=> (~((~v39(constB124)) | (~v9(constB124)))))) | (~v141(constB124)) | (~((~v39(constB124)) | (~v9(constB124))))),
% 9.51/7.10 inference(tautology,[status(thm)],[])).
% 9.51/7.10 tff(30371,plain,
% 9.51/7.10 ((~(v141(constB124) <=> (~((~v39(constB124)) | (~v9(constB124)))))) | (~v141(constB124))),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30370, 30369])).
% 9.51/7.10 tff(30372,plain,
% 9.51/7.10 (~v141(constB124)),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30371, 30362])).
% 9.51/7.10 tff(30373,plain,
% 9.51/7.10 (((~v141(constB124)) | (~v143(constB124))) | v141(constB124)),
% 9.51/7.10 inference(tautology,[status(thm)],[])).
% 9.51/7.10 tff(30374,plain,
% 9.51/7.10 ((~v141(constB124)) | (~v143(constB124))),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30373, 30372])).
% 9.51/7.10 tff(30375,plain,
% 9.51/7.10 ((~(v154(constB124) <=> (~((~v141(constB124)) | (~v143(constB124)))))) | (~v154(constB124)) | (~((~v141(constB124)) | (~v143(constB124))))),
% 9.51/7.10 inference(tautology,[status(thm)],[])).
% 9.51/7.10 tff(30376,plain,
% 9.51/7.10 ((~(v154(constB124) <=> (~((~v141(constB124)) | (~v143(constB124)))))) | (~v154(constB124))),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30375, 30374])).
% 9.51/7.10 tff(30377,plain,
% 9.51/7.10 (~v154(constB124)),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30376, 30360])).
% 9.51/7.10 tff(30378,plain,
% 9.51/7.10 (((~v130(constB124)) | (~v154(constB124))) | v154(constB124)),
% 9.51/7.10 inference(tautology,[status(thm)],[])).
% 9.51/7.10 tff(30379,plain,
% 9.51/7.10 ((~v130(constB124)) | (~v154(constB124))),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30378, 30377])).
% 9.51/7.10 tff(30380,plain,
% 9.51/7.10 ((~(v164(constB124) <=> (~((~v130(constB124)) | (~v154(constB124)))))) | (~v164(constB124)) | (~((~v130(constB124)) | (~v154(constB124))))),
% 9.51/7.10 inference(tautology,[status(thm)],[])).
% 9.51/7.10 tff(30381,plain,
% 9.51/7.10 (~v164(constB124)),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30380, 30379, 30353])).
% 9.51/7.10 tff(30382,plain,
% 9.51/7.10 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB124) <=> (~((~v128(constB124)) | (~v139(constB124)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB124) <=> (~((~v128(constB124)) | (~v139(constB124))))))),
% 9.51/7.10 inference(rewrite,[status(thm)],[])).
% 9.51/7.10 tff(30383,plain,
% 9.51/7.10 ((v163(constB124) <=> (~((~v139(constB124)) | (~v128(constB124))))) <=> (v163(constB124) <=> (~((~v128(constB124)) | (~v139(constB124)))))),
% 9.51/7.10 inference(rewrite,[status(thm)],[])).
% 9.51/7.10 tff(30384,plain,
% 9.51/7.10 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB124) <=> (~((~v139(constB124)) | (~v128(constB124)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB124) <=> (~((~v128(constB124)) | (~v139(constB124))))))),
% 9.51/7.10 inference(monotonicity,[status(thm)],[30383])).
% 9.51/7.10 tff(30385,plain,
% 9.51/7.10 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB124) <=> (~((~v139(constB124)) | (~v128(constB124)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB124) <=> (~((~v128(constB124)) | (~v139(constB124))))))),
% 9.51/7.10 inference(transitivity,[status(thm)],[30384, 30382])).
% 9.51/7.10 tff(30386,plain,
% 9.51/7.10 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB124) <=> (~((~v139(constB124)) | (~v128(constB124)))))),
% 9.51/7.10 inference(quant_inst,[status(thm)],[])).
% 9.51/7.10 tff(30387,plain,
% 9.51/7.10 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB124) <=> (~((~v128(constB124)) | (~v139(constB124)))))),
% 9.51/7.10 inference(modus_ponens,[status(thm)],[30386, 30385])).
% 9.51/7.10 tff(30388,plain,
% 9.51/7.10 (v163(constB124) <=> (~((~v128(constB124)) | (~v139(constB124))))),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30387, 171])).
% 9.51/7.10 tff(30389,plain,
% 9.51/7.10 ((~![VarNext: $i] : (v128(VarNext) <=> v162(VarNext))) | (v128(constB124) <=> v162(constB124))),
% 9.51/7.10 inference(quant_inst,[status(thm)],[])).
% 9.51/7.10 tff(30390,plain,
% 9.51/7.10 (v128(constB124) <=> v162(constB124)),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30389, 13])).
% 9.51/7.10 tff(30391,plain,
% 9.51/7.10 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB123, constB124)) | (v162(constB124) <=> v160(constB123)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB123, constB124)) | (v162(constB124) <=> v160(constB123)))),
% 9.51/7.10 inference(rewrite,[status(thm)],[])).
% 9.51/7.10 tff(30392,plain,
% 9.51/7.10 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB123, constB124)) | (v162(constB124) <=> v160(constB123)))),
% 9.51/7.10 inference(quant_inst,[status(thm)],[])).
% 9.51/7.10 tff(30393,plain,
% 9.51/7.10 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB123, constB124)) | (v162(constB124) <=> v160(constB123))),
% 9.51/7.10 inference(modus_ponens,[status(thm)],[30392, 30391])).
% 9.51/7.10 tff(30394,plain,
% 9.51/7.10 (v162(constB124) <=> v160(constB123)),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30393, 4104, 70])).
% 9.51/7.10 tff(30395,plain,
% 9.51/7.10 ((~![VarCurr: $i] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB123) <=> (v163(constB123) | v164(constB123)))),
% 9.51/7.10 inference(quant_inst,[status(thm)],[])).
% 9.51/7.10 tff(30396,plain,
% 9.51/7.10 (v160(constB123) <=> (v163(constB123) | v164(constB123))),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30395, 84])).
% 9.51/7.10 tff(30397,plain,
% 9.51/7.10 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB123) <=> (~((~v128(constB123)) | (~v139(constB123)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB123) <=> (~((~v128(constB123)) | (~v139(constB123))))))),
% 9.51/7.10 inference(rewrite,[status(thm)],[])).
% 9.51/7.10 tff(30398,plain,
% 9.51/7.10 ((v163(constB123) <=> (~((~v139(constB123)) | (~v128(constB123))))) <=> (v163(constB123) <=> (~((~v128(constB123)) | (~v139(constB123)))))),
% 9.51/7.10 inference(rewrite,[status(thm)],[])).
% 9.51/7.10 tff(30399,plain,
% 9.51/7.10 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB123) <=> (~((~v139(constB123)) | (~v128(constB123)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB123) <=> (~((~v128(constB123)) | (~v139(constB123))))))),
% 9.51/7.10 inference(monotonicity,[status(thm)],[30398])).
% 9.51/7.10 tff(30400,plain,
% 9.51/7.10 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB123) <=> (~((~v139(constB123)) | (~v128(constB123)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB123) <=> (~((~v128(constB123)) | (~v139(constB123))))))),
% 9.51/7.10 inference(transitivity,[status(thm)],[30399, 30397])).
% 9.51/7.10 tff(30401,plain,
% 9.51/7.10 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB123) <=> (~((~v139(constB123)) | (~v128(constB123)))))),
% 9.51/7.10 inference(quant_inst,[status(thm)],[])).
% 9.51/7.10 tff(30402,plain,
% 9.51/7.10 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB123) <=> (~((~v128(constB123)) | (~v139(constB123)))))),
% 9.51/7.10 inference(modus_ponens,[status(thm)],[30401, 30400])).
% 9.51/7.10 tff(30403,plain,
% 9.51/7.10 (v163(constB123) <=> (~((~v128(constB123)) | (~v139(constB123))))),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30402, 171])).
% 9.51/7.10 tff(30404,plain,
% 9.51/7.10 ((~![VarCurr: $i] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB123)) <=> v140(constB123))),
% 9.51/7.10 inference(quant_inst,[status(thm)],[])).
% 9.51/7.10 tff(30405,plain,
% 9.51/7.10 ((~v139(constB123)) <=> v140(constB123)),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30404, 203])).
% 9.51/7.10 tff(30406,plain,
% 9.51/7.10 ((~![VarCurr: $i] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB123) <=> (v141(constB123) | v26(constB123)))),
% 9.51/7.10 inference(quant_inst,[status(thm)],[])).
% 9.51/7.10 tff(30407,plain,
% 9.51/7.10 (v140(constB123) <=> (v141(constB123) | v26(constB123))),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30406, 212])).
% 9.51/7.10 tff(30408,plain,
% 9.51/7.10 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB123) <=> (~((~v39(constB123)) | (~v9(constB123)))))),
% 9.51/7.10 inference(quant_inst,[status(thm)],[])).
% 9.51/7.10 tff(30409,plain,
% 9.51/7.10 (v141(constB123) <=> (~((~v39(constB123)) | (~v9(constB123))))),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30408, 130])).
% 9.51/7.10 tff(30410,plain,
% 9.51/7.10 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB123, constB124)) | (v13(constB124) <=> v9(constB123)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB123, constB124)) | (v13(constB124) <=> v9(constB123)))),
% 9.51/7.10 inference(rewrite,[status(thm)],[])).
% 9.51/7.10 tff(30411,plain,
% 9.51/7.10 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB123, constB124)) | (v13(constB124) <=> v9(constB123)))),
% 9.51/7.10 inference(quant_inst,[status(thm)],[])).
% 9.51/7.10 tff(30412,plain,
% 9.51/7.10 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB123, constB124)) | (v13(constB124) <=> v9(constB123))),
% 9.51/7.10 inference(modus_ponens,[status(thm)],[30411, 30410])).
% 9.51/7.10 tff(30413,plain,
% 9.51/7.10 (v13(constB124) <=> v9(constB123)),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30412, 4104, 226])).
% 9.51/7.10 tff(30414,plain,
% 9.51/7.10 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB124) <=> v13(constB124))),
% 9.51/7.10 inference(quant_inst,[status(thm)],[])).
% 9.51/7.10 tff(30415,plain,
% 9.51/7.10 (v6(constB124) <=> v13(constB124)),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30414, 240])).
% 9.51/7.10 tff(30416,plain,
% 9.51/7.10 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB124)) <=> v6(constB124))),
% 9.51/7.10 inference(quant_inst,[status(thm)],[])).
% 9.51/7.10 tff(30417,plain,
% 9.51/7.10 ((~v21(constB124)) <=> v6(constB124)),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30416, 249])).
% 9.51/7.10 tff(30418,plain,
% 9.51/7.10 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB124) <=> (v20(constB124) | v21(constB124)))),
% 9.51/7.10 inference(quant_inst,[status(thm)],[])).
% 9.51/7.10 tff(30419,plain,
% 9.51/7.10 (v19(constB124) <=> (v20(constB124) | v21(constB124))),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30418, 258])).
% 9.51/7.10 tff(30420,plain,
% 9.51/7.10 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB124) <=> (~((~v19(constB124)) | (~v22(constB124)))))),
% 9.51/7.10 inference(quant_inst,[status(thm)],[])).
% 9.51/7.10 tff(30421,plain,
% 9.51/7.10 (v18(constB124) <=> (~((~v19(constB124)) | (~v22(constB124))))),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30420, 270])).
% 9.51/7.10 tff(30422,plain,
% 9.51/7.10 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB124)) <=> v18(constB124))),
% 9.51/7.10 inference(quant_inst,[status(thm)],[])).
% 9.51/7.10 tff(30423,plain,
% 9.51/7.10 ((~v4(constB124)) <=> v18(constB124)),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30422, 279])).
% 9.51/7.10 tff(30424,plain,
% 9.51/7.10 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB124)),
% 9.51/7.10 inference(quant_inst,[status(thm)],[])).
% 9.51/7.10 tff(30425,plain,
% 9.51/7.10 (v4(constB124)),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30424, 288])).
% 9.51/7.10 tff(30426,plain,
% 9.51/7.10 ((~((~v4(constB124)) <=> v18(constB124))) | (~v4(constB124)) | (~v18(constB124))),
% 9.51/7.10 inference(tautology,[status(thm)],[])).
% 9.51/7.10 tff(30427,plain,
% 9.51/7.10 (~v18(constB124)),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30426, 30425, 30423])).
% 9.51/7.10 tff(30428,plain,
% 9.51/7.10 ((~(v18(constB124) <=> (~((~v19(constB124)) | (~v22(constB124)))))) | v18(constB124) | ((~v19(constB124)) | (~v22(constB124)))),
% 9.51/7.10 inference(tautology,[status(thm)],[])).
% 9.51/7.10 tff(30429,plain,
% 9.51/7.10 ((~v19(constB124)) | (~v22(constB124))),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30428, 30427, 30421])).
% 9.51/7.10 tff(30430,plain,
% 9.51/7.10 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB124) <=> (v1(constB124) | v6(constB124)))),
% 9.51/7.10 inference(quant_inst,[status(thm)],[])).
% 9.51/7.10 tff(30431,plain,
% 9.51/7.10 (v22(constB124) <=> (v1(constB124) | v6(constB124))),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30430, 301])).
% 9.51/7.10 tff(30432,plain,
% 9.51/7.10 ((v1(constB124) | v6(constB124)) | (~v1(constB124))),
% 9.51/7.10 inference(tautology,[status(thm)],[])).
% 9.51/7.10 tff(30433,plain,
% 9.51/7.10 (v1(constB124) | v6(constB124)),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30432, 4134])).
% 9.51/7.10 tff(30434,plain,
% 9.51/7.10 ((~(v22(constB124) <=> (v1(constB124) | v6(constB124)))) | v22(constB124) | (~(v1(constB124) | v6(constB124)))),
% 9.51/7.10 inference(tautology,[status(thm)],[])).
% 9.51/7.10 tff(30435,plain,
% 9.51/7.10 ((~(v22(constB124) <=> (v1(constB124) | v6(constB124)))) | v22(constB124)),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30434, 30433])).
% 9.51/7.10 tff(30436,plain,
% 9.51/7.10 (v22(constB124)),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30435, 30431])).
% 9.51/7.10 tff(30437,plain,
% 9.51/7.10 ((~((~v19(constB124)) | (~v22(constB124)))) | (~v19(constB124)) | (~v22(constB124))),
% 9.51/7.10 inference(tautology,[status(thm)],[])).
% 9.51/7.10 tff(30438,plain,
% 9.51/7.10 ((~((~v19(constB124)) | (~v22(constB124)))) | (~v19(constB124))),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30437, 30436])).
% 9.51/7.10 tff(30439,plain,
% 9.51/7.10 (~v19(constB124)),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30438, 30429])).
% 9.51/7.10 tff(30440,plain,
% 9.51/7.10 ((~(v19(constB124) <=> (v20(constB124) | v21(constB124)))) | v19(constB124) | (~(v20(constB124) | v21(constB124)))),
% 9.51/7.10 inference(tautology,[status(thm)],[])).
% 9.51/7.10 tff(30441,plain,
% 9.51/7.10 (~(v20(constB124) | v21(constB124))),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30440, 30439, 30419])).
% 9.51/7.10 tff(30442,plain,
% 9.51/7.10 ((v20(constB124) | v21(constB124)) | (~v21(constB124))),
% 9.51/7.10 inference(tautology,[status(thm)],[])).
% 9.51/7.10 tff(30443,plain,
% 9.51/7.10 (~v21(constB124)),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30442, 30441])).
% 9.51/7.10 tff(30444,plain,
% 9.51/7.10 ((~((~v21(constB124)) <=> v6(constB124))) | v21(constB124) | v6(constB124)),
% 9.51/7.10 inference(tautology,[status(thm)],[])).
% 9.51/7.10 tff(30445,plain,
% 9.51/7.10 (v6(constB124)),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30444, 30443, 30417])).
% 9.51/7.10 tff(30446,plain,
% 9.51/7.10 ((~(v6(constB124) <=> v13(constB124))) | (~v6(constB124)) | v13(constB124)),
% 9.51/7.10 inference(tautology,[status(thm)],[])).
% 9.51/7.10 tff(30447,plain,
% 9.51/7.10 (v13(constB124)),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30446, 30445, 30415])).
% 9.51/7.10 tff(30448,plain,
% 9.51/7.10 ((~(v13(constB124) <=> v9(constB123))) | (~v13(constB124)) | v9(constB123)),
% 9.51/7.10 inference(tautology,[status(thm)],[])).
% 9.51/7.10 tff(30449,plain,
% 9.51/7.10 (v9(constB123)),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30448, 30447, 30413])).
% 9.51/7.10 tff(30450,plain,
% 9.51/7.10 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB123)) <=> v1(constB123))),
% 9.51/7.10 inference(quant_inst,[status(thm)],[])).
% 9.51/7.10 tff(30451,plain,
% 9.51/7.10 ((~v39(constB123)) <=> v1(constB123)),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30450, 139])).
% 9.51/7.10 tff(30452,plain,
% 9.51/7.10 ((~((~v39(constB123)) <=> v1(constB123))) | v39(constB123) | v1(constB123)),
% 9.51/7.10 inference(tautology,[status(thm)],[])).
% 9.51/7.10 tff(30453,plain,
% 9.51/7.10 ((~((~v39(constB123)) <=> v1(constB123))) | v39(constB123)),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30452, 4126])).
% 9.51/7.10 tff(30454,plain,
% 9.51/7.10 (v39(constB123)),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30453, 30451])).
% 9.51/7.10 tff(30455,plain,
% 9.51/7.10 ((~((~v39(constB123)) | (~v9(constB123)))) | (~v39(constB123)) | (~v9(constB123))),
% 9.51/7.10 inference(tautology,[status(thm)],[])).
% 9.51/7.10 tff(30456,plain,
% 9.51/7.10 ((~((~v39(constB123)) | (~v9(constB123)))) | (~v9(constB123))),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30455, 30454])).
% 9.51/7.10 tff(30457,plain,
% 9.51/7.10 (~((~v39(constB123)) | (~v9(constB123)))),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30456, 30449])).
% 9.51/7.10 tff(30458,plain,
% 9.51/7.10 ((~(v141(constB123) <=> (~((~v39(constB123)) | (~v9(constB123)))))) | v141(constB123) | ((~v39(constB123)) | (~v9(constB123)))),
% 9.51/7.10 inference(tautology,[status(thm)],[])).
% 9.51/7.10 tff(30459,plain,
% 9.51/7.10 (v141(constB123)),
% 9.51/7.10 inference(unit_resolution,[status(thm)],[30458, 30457, 30409])).
% 9.51/7.11 tff(30460,plain,
% 9.51/7.11 ((v141(constB123) | v26(constB123)) | (~v141(constB123))),
% 9.51/7.11 inference(tautology,[status(thm)],[])).
% 9.51/7.11 tff(30461,plain,
% 9.51/7.11 (v141(constB123) | v26(constB123)),
% 9.51/7.11 inference(unit_resolution,[status(thm)],[30460, 30459])).
% 9.51/7.11 tff(30462,plain,
% 9.51/7.11 ((~(v140(constB123) <=> (v141(constB123) | v26(constB123)))) | v140(constB123) | (~(v141(constB123) | v26(constB123)))),
% 9.51/7.11 inference(tautology,[status(thm)],[])).
% 9.51/7.11 tff(30463,plain,
% 9.51/7.11 (v140(constB123)),
% 9.51/7.11 inference(unit_resolution,[status(thm)],[30462, 30461, 30407])).
% 9.51/7.11 tff(30464,plain,
% 9.51/7.11 ((~((~v139(constB123)) <=> v140(constB123))) | (~v139(constB123)) | (~v140(constB123))),
% 9.51/7.11 inference(tautology,[status(thm)],[])).
% 9.51/7.11 tff(30465,plain,
% 9.51/7.11 (~v139(constB123)),
% 9.51/7.11 inference(unit_resolution,[status(thm)],[30464, 30463, 30405])).
% 9.51/7.11 tff(30466,plain,
% 9.51/7.11 (((~v128(constB123)) | (~v139(constB123))) | v139(constB123)),
% 9.51/7.11 inference(tautology,[status(thm)],[])).
% 9.51/7.11 tff(30467,plain,
% 9.51/7.11 ((~v128(constB123)) | (~v139(constB123))),
% 9.51/7.11 inference(unit_resolution,[status(thm)],[30466, 30465])).
% 9.51/7.11 tff(30468,plain,
% 9.51/7.11 ((~(v163(constB123) <=> (~((~v128(constB123)) | (~v139(constB123)))))) | (~v163(constB123)) | (~((~v128(constB123)) | (~v139(constB123))))),
% 9.51/7.11 inference(tautology,[status(thm)],[])).
% 9.51/7.11 tff(30469,plain,
% 9.51/7.11 (~v163(constB123)),
% 9.51/7.11 inference(unit_resolution,[status(thm)],[30468, 30467, 30403])).
% 9.51/7.11 tff(30470,plain,
% 9.51/7.11 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB123) <=> (~((~v130(constB123)) | (~v154(constB123)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB123) <=> (~((~v130(constB123)) | (~v154(constB123))))))),
% 9.51/7.11 inference(rewrite,[status(thm)],[])).
% 9.51/7.11 tff(30471,plain,
% 9.51/7.11 ((v164(constB123) <=> (~((~v154(constB123)) | (~v130(constB123))))) <=> (v164(constB123) <=> (~((~v130(constB123)) | (~v154(constB123)))))),
% 9.51/7.11 inference(rewrite,[status(thm)],[])).
% 9.51/7.11 tff(30472,plain,
% 9.51/7.11 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB123) <=> (~((~v154(constB123)) | (~v130(constB123)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB123) <=> (~((~v130(constB123)) | (~v154(constB123))))))),
% 9.51/7.11 inference(monotonicity,[status(thm)],[30471])).
% 9.51/7.11 tff(30473,plain,
% 9.51/7.11 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB123) <=> (~((~v154(constB123)) | (~v130(constB123)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB123) <=> (~((~v130(constB123)) | (~v154(constB123))))))),
% 9.51/7.11 inference(transitivity,[status(thm)],[30472, 30470])).
% 9.51/7.11 tff(30474,plain,
% 9.51/7.11 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB123) <=> (~((~v154(constB123)) | (~v130(constB123)))))),
% 9.51/7.11 inference(quant_inst,[status(thm)],[])).
% 9.51/7.11 tff(30475,plain,
% 9.51/7.11 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB123) <=> (~((~v130(constB123)) | (~v154(constB123)))))),
% 9.51/7.11 inference(modus_ponens,[status(thm)],[30474, 30473])).
% 9.51/7.11 tff(30476,plain,
% 9.51/7.11 (v164(constB123) <=> (~((~v130(constB123)) | (~v154(constB123))))),
% 9.51/7.11 inference(unit_resolution,[status(thm)],[30475, 96])).
% 9.51/7.11 tff(30477,plain,
% 9.51/7.11 ((~![VarNext: $i] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB123) <=> v152(constB123))),
% 9.51/7.11 inference(quant_inst,[status(thm)],[])).
% 9.51/7.11 tff(30478,plain,
% 9.51/7.11 (v130(constB123) <=> v152(constB123)),
% 9.51/7.11 inference(unit_resolution,[status(thm)],[30477, 361])).
% 9.51/7.11 tff(30479,plain,
% 9.51/7.11 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB122, constB123)) | (v152(constB123) <=> v150(constB122)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB122, constB123)) | (v152(constB123) <=> v150(constB122)))),
% 9.51/7.11 inference(rewrite,[status(thm)],[])).
% 9.51/7.11 tff(30480,plain,
% 9.51/7.11 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB122, constB123)) | (v152(constB123) <=> v150(constB122)))),
% 9.51/7.11 inference(quant_inst,[status(thm)],[])).
% 9.51/7.11 tff(30481,plain,
% 9.51/7.11 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB122, constB123)) | (v152(constB123) <=> v150(constB122))),
% 9.51/7.11 inference(modus_ponens,[status(thm)],[30480, 30479])).
% 9.51/7.11 tff(30482,plain,
% 9.51/7.11 (v152(constB123) <=> v150(constB122)),
% 9.51/7.11 inference(unit_resolution,[status(thm)],[30481, 4169, 373])).
% 9.51/7.11 tff(30483,plain,
% 9.51/7.11 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v153(VarCurr) | v155(VarCurr)))) | (v150(constB122) <=> (v153(constB122) | v155(constB122)))),
% 9.51/7.11 inference(quant_inst,[status(thm)],[])).
% 9.51/7.11 tff(30484,plain,
% 9.51/7.11 (v150(constB122) <=> (v153(constB122) | v155(constB122))),
% 9.51/7.11 inference(unit_resolution,[status(thm)],[30483, 387])).
% 9.51/7.11 tff(30485,plain,
% 9.51/7.11 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB122) <=> (~((~v132(constB122)) | (~v154(constB122)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB122) <=> (~((~v132(constB122)) | (~v154(constB122))))))),
% 9.51/7.11 inference(rewrite,[status(thm)],[])).
% 9.51/7.11 tff(30486,plain,
% 9.51/7.11 ((v153(constB122) <=> (~((~v154(constB122)) | (~v132(constB122))))) <=> (v153(constB122) <=> (~((~v132(constB122)) | (~v154(constB122)))))),
% 9.51/7.11 inference(rewrite,[status(thm)],[])).
% 9.51/7.11 tff(30487,plain,
% 9.51/7.11 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB122) <=> (~((~v154(constB122)) | (~v132(constB122)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB122) <=> (~((~v132(constB122)) | (~v154(constB122))))))),
% 9.51/7.11 inference(monotonicity,[status(thm)],[30486])).
% 9.51/7.11 tff(30488,plain,
% 9.51/7.11 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB122) <=> (~((~v154(constB122)) | (~v132(constB122)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB122) <=> (~((~v132(constB122)) | (~v154(constB122))))))),
% 9.51/7.11 inference(transitivity,[status(thm)],[30487, 30485])).
% 9.51/7.11 tff(30489,plain,
% 9.51/7.11 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB122) <=> (~((~v154(constB122)) | (~v132(constB122)))))),
% 9.51/7.11 inference(quant_inst,[status(thm)],[])).
% 9.51/7.11 tff(30490,plain,
% 9.51/7.11 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB122) <=> (~((~v132(constB122)) | (~v154(constB122)))))),
% 9.51/7.11 inference(modus_ponens,[status(thm)],[30489, 30488])).
% 9.51/7.11 tff(30491,plain,
% 9.51/7.11 (v153(constB122) <=> (~((~v132(constB122)) | (~v154(constB122))))),
% 9.51/7.11 inference(unit_resolution,[status(thm)],[30490, 399])).
% 9.51/7.11 tff(30492,plain,
% 9.51/7.11 (((~v132(constB122)) | (~v154(constB122))) | v154(constB122)),
% 9.51/7.11 inference(tautology,[status(thm)],[])).
% 9.51/7.11 tff(30493,plain,
% 9.51/7.11 ((~v132(constB122)) | (~v154(constB122))),
% 9.51/7.11 inference(unit_resolution,[status(thm)],[30492, 29631])).
% 9.51/7.11 tff(30494,plain,
% 9.51/7.11 ((~(v153(constB122) <=> (~((~v132(constB122)) | (~v154(constB122)))))) | (~v153(constB122)) | (~((~v132(constB122)) | (~v154(constB122))))),
% 9.51/7.11 inference(tautology,[status(thm)],[])).
% 9.51/7.11 tff(30495,plain,
% 9.51/7.11 (~v153(constB122)),
% 9.51/7.11 inference(unit_resolution,[status(thm)],[30494, 30493, 30491])).
% 9.51/7.11 tff(30496,plain,
% 9.51/7.11 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB122) <=> (~((~v130(constB122)) | (~v139(constB122)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB122) <=> (~((~v130(constB122)) | (~v139(constB122))))))),
% 9.51/7.11 inference(rewrite,[status(thm)],[])).
% 9.51/7.11 tff(30497,plain,
% 9.51/7.11 ((v155(constB122) <=> (~((~v139(constB122)) | (~v130(constB122))))) <=> (v155(constB122) <=> (~((~v130(constB122)) | (~v139(constB122)))))),
% 9.51/7.11 inference(rewrite,[status(thm)],[])).
% 9.51/7.11 tff(30498,plain,
% 9.51/7.11 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB122) <=> (~((~v139(constB122)) | (~v130(constB122)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB122) <=> (~((~v130(constB122)) | (~v139(constB122))))))),
% 9.51/7.11 inference(monotonicity,[status(thm)],[30497])).
% 9.51/7.11 tff(30499,plain,
% 9.51/7.11 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB122) <=> (~((~v139(constB122)) | (~v130(constB122)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB122) <=> (~((~v130(constB122)) | (~v139(constB122))))))),
% 9.51/7.11 inference(transitivity,[status(thm)],[30498, 30496])).
% 9.51/7.11 tff(30500,plain,
% 9.51/7.11 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB122) <=> (~((~v139(constB122)) | (~v130(constB122)))))),
% 9.51/7.11 inference(quant_inst,[status(thm)],[])).
% 9.51/7.11 tff(30501,plain,
% 9.51/7.11 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB122) <=> (~((~v130(constB122)) | (~v139(constB122)))))),
% 9.51/7.11 inference(modus_ponens,[status(thm)],[30500, 30499])).
% 9.51/7.11 tff(30502,plain,
% 9.51/7.11 (v155(constB122) <=> (~((~v130(constB122)) | (~v139(constB122))))),
% 9.51/7.11 inference(unit_resolution,[status(thm)],[30501, 447])).
% 9.51/7.11 tff(30503,plain,
% 9.51/7.11 ((~![VarNext: $i] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB122) <=> v152(constB122))),
% 9.51/7.11 inference(quant_inst,[status(thm)],[])).
% 9.51/7.11 tff(30504,plain,
% 9.51/7.11 (v130(constB122) <=> v152(constB122)),
% 9.51/7.11 inference(unit_resolution,[status(thm)],[30503, 361])).
% 9.51/7.11 tff(30505,plain,
% 9.51/7.11 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB121, constB122)) | (v152(constB122) <=> v150(constB121)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB121, constB122)) | (v152(constB122) <=> v150(constB121)))),
% 9.51/7.11 inference(rewrite,[status(thm)],[])).
% 9.51/7.11 tff(30506,plain,
% 9.51/7.11 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB121, constB122)) | (v152(constB122) <=> v150(constB121)))),
% 9.51/7.11 inference(quant_inst,[status(thm)],[])).
% 9.51/7.11 tff(30507,plain,
% 9.51/7.11 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB121, constB122)) | (v152(constB122) <=> v150(constB121))),
% 9.51/7.11 inference(modus_ponens,[status(thm)],[30506, 30505])).
% 9.51/7.11 tff(30508,plain,
% 9.51/7.11 (v152(constB122) <=> v150(constB121)),
% 9.51/7.11 inference(unit_resolution,[status(thm)],[30507, 4201, 373])).
% 9.51/7.11 tff(30509,plain,
% 9.51/7.11 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v153(VarCurr) | v155(VarCurr)))) | (v150(constB121) <=> (v153(constB121) | v155(constB121)))),
% 9.51/7.11 inference(quant_inst,[status(thm)],[])).
% 9.51/7.11 tff(30510,plain,
% 9.51/7.11 (v150(constB121) <=> (v153(constB121) | v155(constB121))),
% 9.51/7.11 inference(unit_resolution,[status(thm)],[30509, 387])).
% 9.51/7.11 tff(30511,plain,
% 9.51/7.11 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB121) <=> (~((~v130(constB121)) | (~v139(constB121)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB121) <=> (~((~v130(constB121)) | (~v139(constB121))))))),
% 9.51/7.11 inference(rewrite,[status(thm)],[])).
% 9.51/7.11 tff(30512,plain,
% 9.51/7.11 ((v155(constB121) <=> (~((~v139(constB121)) | (~v130(constB121))))) <=> (v155(constB121) <=> (~((~v130(constB121)) | (~v139(constB121)))))),
% 9.51/7.11 inference(rewrite,[status(thm)],[])).
% 9.51/7.11 tff(30513,plain,
% 9.51/7.11 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB121) <=> (~((~v139(constB121)) | (~v130(constB121)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB121) <=> (~((~v130(constB121)) | (~v139(constB121))))))),
% 9.51/7.11 inference(monotonicity,[status(thm)],[30512])).
% 9.51/7.11 tff(30514,plain,
% 9.51/7.11 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB121) <=> (~((~v139(constB121)) | (~v130(constB121)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB121) <=> (~((~v130(constB121)) | (~v139(constB121))))))),
% 9.51/7.11 inference(transitivity,[status(thm)],[30513, 30511])).
% 9.51/7.11 tff(30515,plain,
% 9.51/7.11 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB121) <=> (~((~v139(constB121)) | (~v130(constB121)))))),
% 9.51/7.11 inference(quant_inst,[status(thm)],[])).
% 9.51/7.11 tff(30516,plain,
% 9.51/7.11 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB121) <=> (~((~v130(constB121)) | (~v139(constB121)))))),
% 9.51/7.11 inference(modus_ponens,[status(thm)],[30515, 30514])).
% 9.51/7.11 tff(30517,plain,
% 9.51/7.11 (v155(constB121) <=> (~((~v130(constB121)) | (~v139(constB121))))),
% 9.51/7.11 inference(unit_resolution,[status(thm)],[30516, 447])).
% 9.51/7.11 tff(30518,plain,
% 9.51/7.11 (((~v130(constB121)) | (~v139(constB121))) | v139(constB121)),
% 9.51/7.11 inference(tautology,[status(thm)],[])).
% 9.51/7.11 tff(30519,plain,
% 9.51/7.11 ((~v130(constB121)) | (~v139(constB121))),
% 9.51/7.11 inference(unit_resolution,[status(thm)],[30518, 29719])).
% 9.51/7.11 tff(30520,plain,
% 9.51/7.11 ((~(v155(constB121) <=> (~((~v130(constB121)) | (~v139(constB121)))))) | (~v155(constB121)) | (~((~v130(constB121)) | (~v139(constB121))))),
% 9.51/7.11 inference(tautology,[status(thm)],[])).
% 9.51/7.11 tff(30521,plain,
% 9.51/7.11 (~v155(constB121)),
% 9.51/7.11 inference(unit_resolution,[status(thm)],[30520, 30519, 30517])).
% 9.51/7.11 tff(30522,plain,
% 9.51/7.11 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB121) <=> (~((~v132(constB121)) | (~v154(constB121)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB121) <=> (~((~v132(constB121)) | (~v154(constB121))))))),
% 9.51/7.11 inference(rewrite,[status(thm)],[])).
% 9.51/7.11 tff(30523,plain,
% 9.51/7.11 ((v153(constB121) <=> (~((~v154(constB121)) | (~v132(constB121))))) <=> (v153(constB121) <=> (~((~v132(constB121)) | (~v154(constB121)))))),
% 9.51/7.11 inference(rewrite,[status(thm)],[])).
% 9.51/7.11 tff(30524,plain,
% 9.51/7.11 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB121) <=> (~((~v154(constB121)) | (~v132(constB121)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB121) <=> (~((~v132(constB121)) | (~v154(constB121))))))),
% 9.51/7.11 inference(monotonicity,[status(thm)],[30523])).
% 9.51/7.11 tff(30525,plain,
% 9.51/7.11 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB121) <=> (~((~v154(constB121)) | (~v132(constB121)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB121) <=> (~((~v132(constB121)) | (~v154(constB121))))))),
% 9.51/7.11 inference(transitivity,[status(thm)],[30524, 30522])).
% 9.51/7.11 tff(30526,plain,
% 9.51/7.11 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB121) <=> (~((~v154(constB121)) | (~v132(constB121)))))),
% 9.51/7.11 inference(quant_inst,[status(thm)],[])).
% 9.51/7.11 tff(30527,plain,
% 9.51/7.11 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB121) <=> (~((~v132(constB121)) | (~v154(constB121)))))),
% 9.51/7.11 inference(modus_ponens,[status(thm)],[30526, 30525])).
% 9.51/7.11 tff(30528,plain,
% 9.51/7.11 (v153(constB121) <=> (~((~v132(constB121)) | (~v154(constB121))))),
% 9.51/7.11 inference(unit_resolution,[status(thm)],[30527, 399])).
% 9.51/7.11 tff(30529,plain,
% 9.51/7.11 ((~![VarNext: $i] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB121) <=> v137(constB121))),
% 9.51/7.11 inference(quant_inst,[status(thm)],[])).
% 9.51/7.11 tff(30530,plain,
% 9.51/7.11 (v132(constB121) <=> v137(constB121)),
% 9.51/7.11 inference(unit_resolution,[status(thm)],[30529, 558])).
% 9.51/7.11 tff(30531,plain,
% 9.51/7.11 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB120, constB121)) | (v137(constB121) <=> v135(constB120)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB120, constB121)) | (v137(constB121) <=> v135(constB120)))),
% 9.51/7.11 inference(rewrite,[status(thm)],[])).
% 9.51/7.11 tff(30532,plain,
% 9.51/7.11 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB120, constB121)) | (v137(constB121) <=> v135(constB120)))),
% 9.51/7.11 inference(quant_inst,[status(thm)],[])).
% 9.51/7.11 tff(30533,plain,
% 9.51/7.11 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB120, constB121)) | (v137(constB121) <=> v135(constB120))),
% 9.51/7.11 inference(modus_ponens,[status(thm)],[30532, 30531])).
% 9.51/7.11 tff(30534,plain,
% 9.51/7.11 (v137(constB121) <=> v135(constB120)),
% 9.51/7.11 inference(unit_resolution,[status(thm)],[30533, 4256, 570])).
% 9.51/7.11 tff(30535,plain,
% 9.51/7.11 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB120) <=> (v138(constB120) | v142(constB120)))),
% 9.51/7.11 inference(quant_inst,[status(thm)],[])).
% 9.51/7.11 tff(30536,plain,
% 9.51/7.11 (v135(constB120) <=> (v138(constB120) | v142(constB120))),
% 9.51/7.11 inference(unit_resolution,[status(thm)],[30535, 584])).
% 9.51/7.11 tff(30537,plain,
% 9.51/7.11 ((~![VarCurr: $i] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB120) <=> (~((~v143(constB120)) | (~v144(constB120)))))),
% 9.51/7.11 inference(quant_inst,[status(thm)],[])).
% 9.51/7.11 tff(30538,plain,
% 9.51/7.11 (v142(constB120) <=> (~((~v143(constB120)) | (~v144(constB120))))),
% 9.51/7.11 inference(unit_resolution,[status(thm)],[30537, 596])).
% 9.51/7.11 tff(30539,plain,
% 9.51/7.11 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB120) <=> (~((~v141(constB120)) | (~v145(constB120)))))),
% 9.51/7.11 inference(quant_inst,[status(thm)],[])).
% 9.51/7.11 tff(30540,plain,
% 9.51/7.11 (v144(constB120) <=> (~((~v141(constB120)) | (~v145(constB120))))),
% 9.51/7.11 inference(unit_resolution,[status(thm)],[30539, 608])).
% 9.51/7.11 tff(30541,plain,
% 9.51/7.11 (((~v141(constB120)) | (~v145(constB120))) | v141(constB120)),
% 9.51/7.11 inference(tautology,[status(thm)],[])).
% 9.51/7.11 tff(30542,plain,
% 9.51/7.11 ((~v141(constB120)) | (~v145(constB120))),
% 9.51/7.11 inference(unit_resolution,[status(thm)],[30541, 26660])).
% 9.51/7.11 tff(30543,plain,
% 9.51/7.11 ((~(v144(constB120) <=> (~((~v141(constB120)) | (~v145(constB120)))))) | (~v144(constB120)) | (~((~v141(constB120)) | (~v145(constB120))))),
% 9.51/7.11 inference(tautology,[status(thm)],[])).
% 9.51/7.11 tff(30544,plain,
% 9.51/7.11 ((~(v144(constB120) <=> (~((~v141(constB120)) | (~v145(constB120)))))) | (~v144(constB120))),
% 9.51/7.11 inference(unit_resolution,[status(thm)],[30543, 30542])).
% 9.51/7.11 tff(30545,plain,
% 9.51/7.11 (~v144(constB120)),
% 9.51/7.11 inference(unit_resolution,[status(thm)],[30544, 30540])).
% 9.51/7.11 tff(30546,plain,
% 9.51/7.11 (((~v143(constB120)) | (~v144(constB120))) | v144(constB120)),
% 9.51/7.11 inference(tautology,[status(thm)],[])).
% 9.51/7.11 tff(30547,plain,
% 9.51/7.11 ((~v143(constB120)) | (~v144(constB120))),
% 9.51/7.11 inference(unit_resolution,[status(thm)],[30546, 30545])).
% 9.51/7.11 tff(30548,plain,
% 9.51/7.11 ((~(v142(constB120) <=> (~((~v143(constB120)) | (~v144(constB120)))))) | (~v142(constB120)) | (~((~v143(constB120)) | (~v144(constB120))))),
% 9.51/7.11 inference(tautology,[status(thm)],[])).
% 9.51/7.11 tff(30549,plain,
% 9.51/7.11 (~v142(constB120)),
% 9.51/7.11 inference(unit_resolution,[status(thm)],[30548, 30547, 30538])).
% 9.51/7.11 tff(30550,plain,
% 9.51/7.11 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB120) <=> (~((~v132(constB120)) | (~v139(constB120)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB120) <=> (~((~v132(constB120)) | (~v139(constB120))))))),
% 9.51/7.11 inference(rewrite,[status(thm)],[])).
% 9.51/7.11 tff(30551,plain,
% 9.51/7.11 ((v138(constB120) <=> (~((~v139(constB120)) | (~v132(constB120))))) <=> (v138(constB120) <=> (~((~v132(constB120)) | (~v139(constB120)))))),
% 9.51/7.11 inference(rewrite,[status(thm)],[])).
% 9.51/7.11 tff(30552,plain,
% 9.51/7.11 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB120) <=> (~((~v139(constB120)) | (~v132(constB120)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB120) <=> (~((~v132(constB120)) | (~v139(constB120))))))),
% 9.51/7.11 inference(monotonicity,[status(thm)],[30551])).
% 9.51/7.11 tff(30553,plain,
% 9.51/7.11 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB120) <=> (~((~v139(constB120)) | (~v132(constB120)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB120) <=> (~((~v132(constB120)) | (~v139(constB120))))))),
% 9.51/7.11 inference(transitivity,[status(thm)],[30552, 30550])).
% 9.51/7.11 tff(30554,plain,
% 9.51/7.11 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB120) <=> (~((~v139(constB120)) | (~v132(constB120)))))),
% 9.51/7.11 inference(quant_inst,[status(thm)],[])).
% 9.51/7.11 tff(30555,plain,
% 9.51/7.11 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB120) <=> (~((~v132(constB120)) | (~v139(constB120)))))),
% 9.51/7.11 inference(modus_ponens,[status(thm)],[30554, 30553])).
% 9.51/7.11 tff(30556,plain,
% 9.51/7.11 (v138(constB120) <=> (~((~v132(constB120)) | (~v139(constB120))))),
% 9.51/7.11 inference(unit_resolution,[status(thm)],[30555, 644])).
% 9.51/7.11 tff(30557,plain,
% 9.51/7.11 ((~![VarNext: $i] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB120) <=> v137(constB120))),
% 9.51/7.11 inference(quant_inst,[status(thm)],[])).
% 9.51/7.11 tff(30558,plain,
% 9.51/7.11 (v132(constB120) <=> v137(constB120)),
% 9.51/7.11 inference(unit_resolution,[status(thm)],[30557, 558])).
% 9.51/7.11 tff(30559,plain,
% 9.51/7.11 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB119, constB120)) | (v137(constB120) <=> v135(constB119)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB119, constB120)) | (v137(constB120) <=> v135(constB119)))),
% 9.51/7.11 inference(rewrite,[status(thm)],[])).
% 9.51/7.11 tff(30560,plain,
% 9.51/7.11 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB119, constB120)) | (v137(constB120) <=> v135(constB119)))),
% 9.51/7.11 inference(quant_inst,[status(thm)],[])).
% 9.51/7.11 tff(30561,plain,
% 9.51/7.11 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB119, constB120)) | (v137(constB120) <=> v135(constB119))),
% 9.51/7.11 inference(modus_ponens,[status(thm)],[30560, 30559])).
% 9.51/7.11 tff(30562,plain,
% 9.51/7.11 (v137(constB120) <=> v135(constB119)),
% 9.51/7.11 inference(unit_resolution,[status(thm)],[30561, 4288, 570])).
% 9.51/7.11 tff(30563,plain,
% 9.51/7.11 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB119) <=> (v138(constB119) | v142(constB119)))),
% 9.51/7.11 inference(quant_inst,[status(thm)],[])).
% 9.51/7.11 tff(30564,plain,
% 9.51/7.11 (v135(constB119) <=> (v138(constB119) | v142(constB119))),
% 9.51/7.11 inference(unit_resolution,[status(thm)],[30563, 584])).
% 9.51/7.11 tff(30565,plain,
% 9.51/7.11 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB119) <=> (~((~v132(constB119)) | (~v139(constB119)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB119) <=> (~((~v132(constB119)) | (~v139(constB119))))))),
% 9.51/7.11 inference(rewrite,[status(thm)],[])).
% 9.51/7.11 tff(30566,plain,
% 9.51/7.11 ((v138(constB119) <=> (~((~v139(constB119)) | (~v132(constB119))))) <=> (v138(constB119) <=> (~((~v132(constB119)) | (~v139(constB119)))))),
% 9.51/7.11 inference(rewrite,[status(thm)],[])).
% 9.51/7.11 tff(30567,plain,
% 9.51/7.11 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB119) <=> (~((~v139(constB119)) | (~v132(constB119)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB119) <=> (~((~v132(constB119)) | (~v139(constB119))))))),
% 9.51/7.11 inference(monotonicity,[status(thm)],[30566])).
% 9.51/7.11 tff(30568,plain,
% 9.51/7.11 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB119) <=> (~((~v139(constB119)) | (~v132(constB119)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB119) <=> (~((~v132(constB119)) | (~v139(constB119))))))),
% 9.51/7.11 inference(transitivity,[status(thm)],[30567, 30565])).
% 9.51/7.11 tff(30569,plain,
% 9.51/7.11 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB119) <=> (~((~v139(constB119)) | (~v132(constB119)))))),
% 9.51/7.11 inference(quant_inst,[status(thm)],[])).
% 9.51/7.11 tff(30570,plain,
% 9.51/7.11 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB119) <=> (~((~v132(constB119)) | (~v139(constB119)))))),
% 9.51/7.11 inference(modus_ponens,[status(thm)],[30569, 30568])).
% 9.51/7.11 tff(30571,plain,
% 9.51/7.11 (v138(constB119) <=> (~((~v132(constB119)) | (~v139(constB119))))),
% 9.51/7.11 inference(unit_resolution,[status(thm)],[30570, 644])).
% 9.51/7.11 tff(30572,plain,
% 9.51/7.11 (((~v132(constB119)) | (~v139(constB119))) | v139(constB119)),
% 9.51/7.11 inference(tautology,[status(thm)],[])).
% 9.51/7.11 tff(30573,plain,
% 9.51/7.11 ((~v132(constB119)) | (~v139(constB119))),
% 9.51/7.11 inference(unit_resolution,[status(thm)],[30572, 26753])).
% 9.51/7.11 tff(30574,plain,
% 9.51/7.11 ((~(v138(constB119) <=> (~((~v132(constB119)) | (~v139(constB119)))))) | (~v138(constB119)) | (~((~v132(constB119)) | (~v139(constB119))))),
% 9.51/7.11 inference(tautology,[status(thm)],[])).
% 9.51/7.11 tff(30575,plain,
% 9.51/7.11 (~v138(constB119)),
% 9.51/7.11 inference(unit_resolution,[status(thm)],[30574, 30573, 30571])).
% 9.51/7.11 tff(30576,plain,
% 9.51/7.11 ((~![VarCurr: $i] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB119) <=> (~((~v143(constB119)) | (~v144(constB119)))))),
% 9.51/7.11 inference(quant_inst,[status(thm)],[])).
% 9.51/7.11 tff(30577,plain,
% 9.51/7.11 (v142(constB119) <=> (~((~v143(constB119)) | (~v144(constB119))))),
% 9.51/7.11 inference(unit_resolution,[status(thm)],[30576, 596])).
% 9.51/7.11 tff(30578,plain,
% 9.51/7.11 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB119) <=> (~((~v141(constB119)) | (~v145(constB119)))))),
% 9.51/7.11 inference(quant_inst,[status(thm)],[])).
% 9.51/7.11 tff(30579,plain,
% 9.51/7.11 (v144(constB119) <=> (~((~v141(constB119)) | (~v145(constB119))))),
% 9.51/7.11 inference(unit_resolution,[status(thm)],[30578, 608])).
% 9.51/7.11 tff(30580,plain,
% 9.51/7.11 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB119) <=> (~(v84(constB119, bitIndex2) | v84(constB119, bitIndex1) | (~v84(constB119, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB119) <=> (~(v84(constB119, bitIndex2) | v84(constB119, bitIndex1) | (~v84(constB119, bitIndex0))))))),
% 9.51/7.11 inference(rewrite,[status(thm)],[])).
% 9.51/7.11 tff(30581,plain,
% 9.51/7.11 ((v145(constB119) <=> (~(v84(constB119, bitIndex1) | v84(constB119, bitIndex2) | (~v84(constB119, bitIndex0))))) <=> (v145(constB119) <=> (~(v84(constB119, bitIndex2) | v84(constB119, bitIndex1) | (~v84(constB119, bitIndex0)))))),
% 9.51/7.11 inference(rewrite,[status(thm)],[])).
% 9.51/7.11 tff(30582,plain,
% 9.51/7.11 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB119) <=> (~(v84(constB119, bitIndex1) | v84(constB119, bitIndex2) | (~v84(constB119, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB119) <=> (~(v84(constB119, bitIndex2) | v84(constB119, bitIndex1) | (~v84(constB119, bitIndex0))))))),
% 9.51/7.11 inference(monotonicity,[status(thm)],[30581])).
% 9.51/7.11 tff(30583,plain,
% 9.51/7.11 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB119) <=> (~(v84(constB119, bitIndex1) | v84(constB119, bitIndex2) | (~v84(constB119, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB119) <=> (~(v84(constB119, bitIndex2) | v84(constB119, bitIndex1) | (~v84(constB119, bitIndex0))))))),
% 9.51/7.11 inference(transitivity,[status(thm)],[30582, 30580])).
% 9.51/7.11 tff(30584,plain,
% 9.51/7.11 ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB119) <=> (~(v84(constB119, bitIndex1) | v84(constB119, bitIndex2) | (~v84(constB119, bitIndex0)))))),
% 9.51/7.11 inference(quant_inst,[status(thm)],[])).
% 9.51/7.11 tff(30585,plain,
% 9.51/7.11 ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB119) <=> (~(v84(constB119, bitIndex2) | v84(constB119, bitIndex1) | (~v84(constB119, bitIndex0)))))),
% 9.60/7.11 inference(modus_ponens,[status(thm)],[30584, 30583])).
% 9.60/7.11 tff(30586,plain,
% 9.60/7.11 (v145(constB119) <=> (~(v84(constB119, bitIndex2) | v84(constB119, bitIndex1) | (~v84(constB119, bitIndex0))))),
% 9.60/7.11 inference(unit_resolution,[status(thm)],[30585, 755])).
% 9.60/7.11 tff(30587,plain,
% 9.60/7.11 ((v84(constB119, bitIndex2) | v84(constB119, bitIndex1) | (~v84(constB119, bitIndex0))) | (~v84(constB119, bitIndex2))),
% 9.60/7.11 inference(tautology,[status(thm)],[])).
% 9.60/7.11 tff(30588,plain,
% 9.60/7.11 (v84(constB119, bitIndex2) | v84(constB119, bitIndex1) | (~v84(constB119, bitIndex0))),
% 9.60/7.11 inference(unit_resolution,[status(thm)],[30587, 19483])).
% 9.60/7.11 tff(30589,plain,
% 9.60/7.11 ((~(v145(constB119) <=> (~(v84(constB119, bitIndex2) | v84(constB119, bitIndex1) | (~v84(constB119, bitIndex0)))))) | (~v145(constB119)) | (~(v84(constB119, bitIndex2) | v84(constB119, bitIndex1) | (~v84(constB119, bitIndex0))))),
% 9.60/7.11 inference(tautology,[status(thm)],[])).
% 9.60/7.11 tff(30590,plain,
% 9.60/7.11 (~v145(constB119)),
% 9.60/7.11 inference(unit_resolution,[status(thm)],[30589, 30588, 30586])).
% 9.60/7.11 tff(30591,plain,
% 9.60/7.11 (((~v141(constB119)) | (~v145(constB119))) | v145(constB119)),
% 9.60/7.11 inference(tautology,[status(thm)],[])).
% 9.60/7.11 tff(30592,plain,
% 9.60/7.11 ((~v141(constB119)) | (~v145(constB119))),
% 9.60/7.11 inference(unit_resolution,[status(thm)],[30591, 30590])).
% 9.60/7.11 tff(30593,plain,
% 9.60/7.11 ((~(v144(constB119) <=> (~((~v141(constB119)) | (~v145(constB119)))))) | (~v144(constB119)) | (~((~v141(constB119)) | (~v145(constB119))))),
% 9.60/7.11 inference(tautology,[status(thm)],[])).
% 9.60/7.11 tff(30594,plain,
% 9.60/7.11 (~v144(constB119)),
% 9.60/7.11 inference(unit_resolution,[status(thm)],[30593, 30592, 30579])).
% 9.60/7.11 tff(30595,plain,
% 9.60/7.11 (((~v143(constB119)) | (~v144(constB119))) | v144(constB119)),
% 9.60/7.11 inference(tautology,[status(thm)],[])).
% 9.60/7.11 tff(30596,plain,
% 9.60/7.11 ((~v143(constB119)) | (~v144(constB119))),
% 9.60/7.11 inference(unit_resolution,[status(thm)],[30595, 30594])).
% 9.60/7.11 tff(30597,plain,
% 9.60/7.11 ((~(v142(constB119) <=> (~((~v143(constB119)) | (~v144(constB119)))))) | (~v142(constB119)) | (~((~v143(constB119)) | (~v144(constB119))))),
% 9.60/7.11 inference(tautology,[status(thm)],[])).
% 9.60/7.11 tff(30598,plain,
% 9.60/7.11 (~v142(constB119)),
% 9.60/7.11 inference(unit_resolution,[status(thm)],[30597, 30596, 30577])).
% 9.60/7.11 tff(30599,plain,
% 9.60/7.11 ((~(v138(constB119) | v142(constB119))) | v138(constB119) | v142(constB119)),
% 9.60/7.11 inference(tautology,[status(thm)],[])).
% 9.60/7.11 tff(30600,plain,
% 9.60/7.11 (~(v138(constB119) | v142(constB119))),
% 9.60/7.11 inference(unit_resolution,[status(thm)],[30599, 30598, 30575])).
% 9.60/7.11 tff(30601,plain,
% 9.60/7.11 ((~(v135(constB119) <=> (v138(constB119) | v142(constB119)))) | (~v135(constB119)) | (v138(constB119) | v142(constB119))),
% 9.60/7.11 inference(tautology,[status(thm)],[])).
% 9.60/7.11 tff(30602,plain,
% 9.60/7.11 (~v135(constB119)),
% 9.60/7.11 inference(unit_resolution,[status(thm)],[30601, 30600, 30564])).
% 9.60/7.11 tff(30603,plain,
% 9.60/7.11 ((~(v137(constB120) <=> v135(constB119))) | (~v137(constB120)) | v135(constB119)),
% 9.60/7.11 inference(tautology,[status(thm)],[])).
% 9.60/7.11 tff(30604,plain,
% 9.60/7.11 (~v137(constB120)),
% 9.60/7.11 inference(unit_resolution,[status(thm)],[30603, 30602, 30562])).
% 9.60/7.11 tff(30605,plain,
% 9.60/7.11 ((~(v132(constB120) <=> v137(constB120))) | (~v132(constB120)) | v137(constB120)),
% 9.60/7.11 inference(tautology,[status(thm)],[])).
% 9.60/7.11 tff(30606,plain,
% 9.60/7.11 (~v132(constB120)),
% 9.60/7.11 inference(unit_resolution,[status(thm)],[30605, 30604, 30558])).
% 9.60/7.11 tff(30607,plain,
% 9.60/7.11 (((~v132(constB120)) | (~v139(constB120))) | v132(constB120)),
% 9.60/7.11 inference(tautology,[status(thm)],[])).
% 9.60/7.11 tff(30608,plain,
% 9.60/7.11 ((~v132(constB120)) | (~v139(constB120))),
% 9.60/7.11 inference(unit_resolution,[status(thm)],[30607, 30606])).
% 9.60/7.11 tff(30609,plain,
% 9.60/7.11 ((~(v138(constB120) <=> (~((~v132(constB120)) | (~v139(constB120)))))) | (~v138(constB120)) | (~((~v132(constB120)) | (~v139(constB120))))),
% 9.60/7.11 inference(tautology,[status(thm)],[])).
% 9.60/7.11 tff(30610,plain,
% 9.60/7.11 (~v138(constB120)),
% 9.60/7.11 inference(unit_resolution,[status(thm)],[30609, 30608, 30556])).
% 9.60/7.11 tff(30611,plain,
% 9.60/7.11 ((~(v138(constB120) | v142(constB120))) | v138(constB120) | v142(constB120)),
% 9.60/7.11 inference(tautology,[status(thm)],[])).
% 9.60/7.11 tff(30612,plain,
% 9.60/7.11 (~(v138(constB120) | v142(constB120))),
% 9.60/7.11 inference(unit_resolution,[status(thm)],[30611, 30610, 30549])).
% 9.60/7.11 tff(30613,plain,
% 9.60/7.11 ((~(v135(constB120) <=> (v138(constB120) | v142(constB120)))) | (~v135(constB120)) | (v138(constB120) | v142(constB120))),
% 9.60/7.11 inference(tautology,[status(thm)],[])).
% 9.60/7.11 tff(30614,plain,
% 9.60/7.11 (~v135(constB120)),
% 9.60/7.11 inference(unit_resolution,[status(thm)],[30613, 30612, 30536])).
% 9.60/7.11 tff(30615,plain,
% 9.60/7.11 ((~(v137(constB121) <=> v135(constB120))) | (~v137(constB121)) | v135(constB120)),
% 9.60/7.11 inference(tautology,[status(thm)],[])).
% 9.60/7.11 tff(30616,plain,
% 9.60/7.11 (~v137(constB121)),
% 9.60/7.11 inference(unit_resolution,[status(thm)],[30615, 30614, 30534])).
% 9.60/7.11 tff(30617,plain,
% 9.60/7.11 ((~(v132(constB121) <=> v137(constB121))) | (~v132(constB121)) | v137(constB121)),
% 9.60/7.11 inference(tautology,[status(thm)],[])).
% 9.60/7.11 tff(30618,plain,
% 9.60/7.11 (~v132(constB121)),
% 9.60/7.11 inference(unit_resolution,[status(thm)],[30617, 30616, 30530])).
% 9.60/7.11 tff(30619,plain,
% 9.60/7.11 (((~v132(constB121)) | (~v154(constB121))) | v132(constB121)),
% 9.60/7.11 inference(tautology,[status(thm)],[])).
% 9.60/7.11 tff(30620,plain,
% 9.60/7.11 ((~v132(constB121)) | (~v154(constB121))),
% 9.60/7.11 inference(unit_resolution,[status(thm)],[30619, 30618])).
% 9.60/7.11 tff(30621,plain,
% 9.60/7.11 ((~(v153(constB121) <=> (~((~v132(constB121)) | (~v154(constB121)))))) | (~v153(constB121)) | (~((~v132(constB121)) | (~v154(constB121))))),
% 9.60/7.11 inference(tautology,[status(thm)],[])).
% 9.60/7.11 tff(30622,plain,
% 9.60/7.11 (~v153(constB121)),
% 9.60/7.11 inference(unit_resolution,[status(thm)],[30621, 30620, 30528])).
% 9.60/7.11 tff(30623,plain,
% 9.60/7.11 ((~(v153(constB121) | v155(constB121))) | v153(constB121) | v155(constB121)),
% 9.60/7.11 inference(tautology,[status(thm)],[])).
% 9.60/7.11 tff(30624,plain,
% 9.60/7.11 (~(v153(constB121) | v155(constB121))),
% 9.60/7.11 inference(unit_resolution,[status(thm)],[30623, 30622, 30521])).
% 9.60/7.11 tff(30625,plain,
% 9.60/7.11 ((~(v150(constB121) <=> (v153(constB121) | v155(constB121)))) | (~v150(constB121)) | (v153(constB121) | v155(constB121))),
% 9.60/7.11 inference(tautology,[status(thm)],[])).
% 9.60/7.11 tff(30626,plain,
% 9.60/7.11 (~v150(constB121)),
% 9.60/7.11 inference(unit_resolution,[status(thm)],[30625, 30624, 30510])).
% 9.60/7.11 tff(30627,plain,
% 9.60/7.11 ((~(v152(constB122) <=> v150(constB121))) | (~v152(constB122)) | v150(constB121)),
% 9.60/7.11 inference(tautology,[status(thm)],[])).
% 9.60/7.11 tff(30628,plain,
% 9.60/7.11 (~v152(constB122)),
% 9.60/7.11 inference(unit_resolution,[status(thm)],[30627, 30626, 30508])).
% 9.60/7.11 tff(30629,plain,
% 9.60/7.11 ((~(v130(constB122) <=> v152(constB122))) | (~v130(constB122)) | v152(constB122)),
% 9.60/7.11 inference(tautology,[status(thm)],[])).
% 9.60/7.11 tff(30630,plain,
% 9.60/7.11 (~v130(constB122)),
% 9.60/7.11 inference(unit_resolution,[status(thm)],[30629, 30628, 30504])).
% 9.60/7.11 tff(30631,plain,
% 9.60/7.11 (((~v130(constB122)) | (~v139(constB122))) | v130(constB122)),
% 9.60/7.11 inference(tautology,[status(thm)],[])).
% 9.60/7.11 tff(30632,plain,
% 9.60/7.11 ((~v130(constB122)) | (~v139(constB122))),
% 9.60/7.11 inference(unit_resolution,[status(thm)],[30631, 30630])).
% 9.60/7.11 tff(30633,plain,
% 9.60/7.11 ((~(v155(constB122) <=> (~((~v130(constB122)) | (~v139(constB122)))))) | (~v155(constB122)) | (~((~v130(constB122)) | (~v139(constB122))))),
% 9.60/7.11 inference(tautology,[status(thm)],[])).
% 9.60/7.11 tff(30634,plain,
% 9.60/7.11 (~v155(constB122)),
% 9.60/7.11 inference(unit_resolution,[status(thm)],[30633, 30632, 30502])).
% 9.60/7.11 tff(30635,plain,
% 9.60/7.11 ((~(v153(constB122) | v155(constB122))) | v153(constB122) | v155(constB122)),
% 9.60/7.11 inference(tautology,[status(thm)],[])).
% 9.60/7.11 tff(30636,plain,
% 9.60/7.11 (~(v153(constB122) | v155(constB122))),
% 9.60/7.11 inference(unit_resolution,[status(thm)],[30635, 30634, 30495])).
% 9.60/7.11 tff(30637,plain,
% 9.60/7.11 ((~(v150(constB122) <=> (v153(constB122) | v155(constB122)))) | (~v150(constB122)) | (v153(constB122) | v155(constB122))),
% 9.60/7.11 inference(tautology,[status(thm)],[])).
% 9.60/7.11 tff(30638,plain,
% 9.60/7.11 (~v150(constB122)),
% 9.60/7.11 inference(unit_resolution,[status(thm)],[30637, 30636, 30484])).
% 9.60/7.11 tff(30639,plain,
% 9.60/7.11 ((~(v152(constB123) <=> v150(constB122))) | (~v152(constB123)) | v150(constB122)),
% 9.60/7.11 inference(tautology,[status(thm)],[])).
% 9.60/7.11 tff(30640,plain,
% 9.60/7.11 (~v152(constB123)),
% 9.60/7.11 inference(unit_resolution,[status(thm)],[30639, 30638, 30482])).
% 9.60/7.11 tff(30641,plain,
% 9.60/7.11 ((~(v130(constB123) <=> v152(constB123))) | (~v130(constB123)) | v152(constB123)),
% 9.60/7.11 inference(tautology,[status(thm)],[])).
% 9.60/7.11 tff(30642,plain,
% 9.60/7.11 (~v130(constB123)),
% 9.60/7.11 inference(unit_resolution,[status(thm)],[30641, 30640, 30478])).
% 9.60/7.11 tff(30643,plain,
% 9.60/7.11 (((~v130(constB123)) | (~v154(constB123))) | v130(constB123)),
% 9.60/7.11 inference(tautology,[status(thm)],[])).
% 9.60/7.11 tff(30644,plain,
% 9.60/7.11 ((~v130(constB123)) | (~v154(constB123))),
% 9.60/7.11 inference(unit_resolution,[status(thm)],[30643, 30642])).
% 9.60/7.11 tff(30645,plain,
% 9.60/7.11 ((~(v164(constB123) <=> (~((~v130(constB123)) | (~v154(constB123)))))) | (~v164(constB123)) | (~((~v130(constB123)) | (~v154(constB123))))),
% 9.60/7.11 inference(tautology,[status(thm)],[])).
% 9.60/7.11 tff(30646,plain,
% 9.60/7.11 (~v164(constB123)),
% 9.60/7.11 inference(unit_resolution,[status(thm)],[30645, 30644, 30476])).
% 9.60/7.11 tff(30647,plain,
% 9.60/7.11 ((~(v163(constB123) | v164(constB123))) | v163(constB123) | v164(constB123)),
% 9.60/7.11 inference(tautology,[status(thm)],[])).
% 9.60/7.11 tff(30648,plain,
% 9.60/7.11 (~(v163(constB123) | v164(constB123))),
% 9.60/7.11 inference(unit_resolution,[status(thm)],[30647, 30646, 30469])).
% 9.60/7.11 tff(30649,plain,
% 9.60/7.11 ((~(v160(constB123) <=> (v163(constB123) | v164(constB123)))) | (~v160(constB123)) | (v163(constB123) | v164(constB123))),
% 9.60/7.11 inference(tautology,[status(thm)],[])).
% 9.60/7.11 tff(30650,plain,
% 9.60/7.11 (~v160(constB123)),
% 9.60/7.11 inference(unit_resolution,[status(thm)],[30649, 30648, 30396])).
% 9.60/7.11 tff(30651,plain,
% 9.60/7.11 ((~(v162(constB124) <=> v160(constB123))) | (~v162(constB124)) | v160(constB123)),
% 9.60/7.11 inference(tautology,[status(thm)],[])).
% 9.60/7.11 tff(30652,plain,
% 9.60/7.11 (~v162(constB124)),
% 9.60/7.11 inference(unit_resolution,[status(thm)],[30651, 30650, 30394])).
% 9.60/7.11 tff(30653,plain,
% 9.60/7.11 ((~(v128(constB124) <=> v162(constB124))) | (~v128(constB124)) | v162(constB124)),
% 9.60/7.11 inference(tautology,[status(thm)],[])).
% 9.60/7.11 tff(30654,plain,
% 9.60/7.11 (~v128(constB124)),
% 9.60/7.11 inference(unit_resolution,[status(thm)],[30653, 30652, 30390])).
% 9.60/7.11 tff(30655,plain,
% 9.60/7.11 (((~v128(constB124)) | (~v139(constB124))) | v128(constB124)),
% 9.60/7.11 inference(tautology,[status(thm)],[])).
% 9.60/7.11 tff(30656,plain,
% 9.60/7.11 ((~v128(constB124)) | (~v139(constB124))),
% 9.60/7.11 inference(unit_resolution,[status(thm)],[30655, 30654])).
% 9.60/7.11 tff(30657,plain,
% 9.60/7.11 ((~(v163(constB124) <=> (~((~v128(constB124)) | (~v139(constB124)))))) | (~v163(constB124)) | (~((~v128(constB124)) | (~v139(constB124))))),
% 9.60/7.11 inference(tautology,[status(thm)],[])).
% 9.60/7.11 tff(30658,plain,
% 9.60/7.11 (~v163(constB124)),
% 9.60/7.11 inference(unit_resolution,[status(thm)],[30657, 30656, 30388])).
% 9.60/7.11 tff(30659,plain,
% 9.60/7.11 ((~(v163(constB124) | v164(constB124))) | v163(constB124) | v164(constB124)),
% 9.60/7.11 inference(tautology,[status(thm)],[])).
% 9.60/7.11 tff(30660,plain,
% 9.60/7.11 (~(v163(constB124) | v164(constB124))),
% 9.60/7.11 inference(unit_resolution,[status(thm)],[30659, 30658, 30381])).
% 9.60/7.11 tff(30661,plain,
% 9.60/7.11 ((~(v160(constB124) <=> (v163(constB124) | v164(constB124)))) | (~v160(constB124)) | (v163(constB124) | v164(constB124))),
% 9.60/7.11 inference(tautology,[status(thm)],[])).
% 9.60/7.11 tff(30662,plain,
% 9.60/7.11 (~v160(constB124)),
% 9.60/7.11 inference(unit_resolution,[status(thm)],[30661, 30660, 30346])).
% 9.60/7.11 tff(30663,plain,
% 9.60/7.11 ((~(v162(constB125) <=> v160(constB124))) | (~v162(constB125)) | v160(constB124)),
% 9.60/7.11 inference(tautology,[status(thm)],[])).
% 9.60/7.11 tff(30664,plain,
% 9.60/7.11 (~v162(constB125)),
% 9.60/7.11 inference(unit_resolution,[status(thm)],[30663, 30662, 30344])).
% 9.60/7.11 tff(30665,plain,
% 9.60/7.11 ($false),
% 9.60/7.11 inference(unit_resolution,[status(thm)],[30664, 30340])).
% 9.60/7.11 tff(30666,plain,(~(constB125 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.60/7.11 tff(30667,assumption,(constB105 = VarCurr!0), introduced(assumption)).
% 9.60/7.11 tff(30668,plain,
% 9.60/7.11 (v170(constB105) <=> v170(VarCurr!0)),
% 9.60/7.11 inference(monotonicity,[status(thm)],[30667])).
% 9.60/7.11 tff(30669,plain,
% 9.60/7.11 (v170(VarCurr!0) <=> v170(constB105)),
% 9.60/7.11 inference(symmetry,[status(thm)],[30668])).
% 9.60/7.11 tff(30670,plain,
% 9.60/7.11 (v170(constB105)),
% 9.60/7.11 inference(modus_ponens,[status(thm)],[26047, 30669])).
% 9.60/7.11 tff(30671,plain,
% 9.60/7.11 (((~![VarCurr: $i] : (v170(VarCurr) <=> (~((~v171(VarCurr)) | (~v141(VarCurr)))))) | (v170(constB105) <=> (~((~v141(constB105)) | (~v171(constB105)))))) <=> ((~![VarCurr: $i] : (v170(VarCurr) <=> (~((~v171(VarCurr)) | (~v141(VarCurr)))))) | (v170(constB105) <=> (~((~v141(constB105)) | (~v171(constB105))))))),
% 9.60/7.12 inference(rewrite,[status(thm)],[])).
% 9.60/7.12 tff(30672,plain,
% 9.60/7.12 ((v170(constB105) <=> (~((~v171(constB105)) | (~v141(constB105))))) <=> (v170(constB105) <=> (~((~v141(constB105)) | (~v171(constB105)))))),
% 9.60/7.12 inference(rewrite,[status(thm)],[])).
% 9.60/7.12 tff(30673,plain,
% 9.60/7.12 (((~![VarCurr: $i] : (v170(VarCurr) <=> (~((~v171(VarCurr)) | (~v141(VarCurr)))))) | (v170(constB105) <=> (~((~v171(constB105)) | (~v141(constB105)))))) <=> ((~![VarCurr: $i] : (v170(VarCurr) <=> (~((~v171(VarCurr)) | (~v141(VarCurr)))))) | (v170(constB105) <=> (~((~v141(constB105)) | (~v171(constB105))))))),
% 9.60/7.12 inference(monotonicity,[status(thm)],[30672])).
% 9.60/7.12 tff(30674,plain,
% 9.60/7.12 (((~![VarCurr: $i] : (v170(VarCurr) <=> (~((~v171(VarCurr)) | (~v141(VarCurr)))))) | (v170(constB105) <=> (~((~v171(constB105)) | (~v141(constB105)))))) <=> ((~![VarCurr: $i] : (v170(VarCurr) <=> (~((~v171(VarCurr)) | (~v141(VarCurr)))))) | (v170(constB105) <=> (~((~v141(constB105)) | (~v171(constB105))))))),
% 9.60/7.12 inference(transitivity,[status(thm)],[30673, 30671])).
% 9.60/7.12 tff(30675,plain,
% 9.60/7.12 ((~![VarCurr: $i] : (v170(VarCurr) <=> (~((~v171(VarCurr)) | (~v141(VarCurr)))))) | (v170(constB105) <=> (~((~v171(constB105)) | (~v141(constB105)))))),
% 9.60/7.12 inference(quant_inst,[status(thm)],[])).
% 9.60/7.12 tff(30676,plain,
% 9.60/7.12 ((~![VarCurr: $i] : (v170(VarCurr) <=> (~((~v171(VarCurr)) | (~v141(VarCurr)))))) | (v170(constB105) <=> (~((~v141(constB105)) | (~v171(constB105)))))),
% 9.60/7.12 inference(modus_ponens,[status(thm)],[30675, 30674])).
% 9.60/7.12 tff(30677,plain,
% 9.60/7.12 (v170(constB105) <=> (~((~v141(constB105)) | (~v171(constB105))))),
% 9.60/7.12 inference(unit_resolution,[status(thm)],[30676, 26058])).
% 9.60/7.12 tff(30678,plain,
% 9.60/7.12 ((~![VarCurr: $i] : ((~v171(VarCurr)) <=> v172(VarCurr))) | ((~v171(constB105)) <=> v172(constB105))),
% 9.60/7.12 inference(quant_inst,[status(thm)],[])).
% 9.60/7.12 tff(30679,plain,
% 9.60/7.12 ((~v171(constB105)) <=> v172(constB105)),
% 9.60/7.12 inference(unit_resolution,[status(thm)],[30678, 26072])).
% 9.60/7.12 tff(30680,plain,
% 9.60/7.12 (((~![VarCurr: $i] : (v172(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v172(constB105) <=> (~((~v84(constB105, bitIndex2)) | v84(constB105, bitIndex1) | v84(constB105, bitIndex0))))) <=> ((~![VarCurr: $i] : (v172(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v172(constB105) <=> (~((~v84(constB105, bitIndex2)) | v84(constB105, bitIndex1) | v84(constB105, bitIndex0)))))),
% 9.60/7.12 inference(rewrite,[status(thm)],[])).
% 9.60/7.12 tff(30681,plain,
% 9.60/7.12 ((v172(constB105) <=> (~(v84(constB105, bitIndex0) | v84(constB105, bitIndex1) | (~v84(constB105, bitIndex2))))) <=> (v172(constB105) <=> (~((~v84(constB105, bitIndex2)) | v84(constB105, bitIndex1) | v84(constB105, bitIndex0))))),
% 9.60/7.12 inference(rewrite,[status(thm)],[])).
% 9.60/7.12 tff(30682,plain,
% 9.60/7.12 (((~![VarCurr: $i] : (v172(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v172(constB105) <=> (~(v84(constB105, bitIndex0) | v84(constB105, bitIndex1) | (~v84(constB105, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v172(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v172(constB105) <=> (~((~v84(constB105, bitIndex2)) | v84(constB105, bitIndex1) | v84(constB105, bitIndex0)))))),
% 9.60/7.12 inference(monotonicity,[status(thm)],[30681])).
% 9.60/7.12 tff(30683,plain,
% 9.60/7.12 (((~![VarCurr: $i] : (v172(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v172(constB105) <=> (~(v84(constB105, bitIndex0) | v84(constB105, bitIndex1) | (~v84(constB105, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v172(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v172(constB105) <=> (~((~v84(constB105, bitIndex2)) | v84(constB105, bitIndex1) | v84(constB105, bitIndex0)))))),
% 9.60/7.12 inference(transitivity,[status(thm)],[30682, 30680])).
% 9.60/7.12 tff(30684,plain,
% 9.60/7.12 ((~![VarCurr: $i] : (v172(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v172(constB105) <=> (~(v84(constB105, bitIndex0) | v84(constB105, bitIndex1) | (~v84(constB105, bitIndex2)))))),
% 9.60/7.12 inference(quant_inst,[status(thm)],[])).
% 9.60/7.12 tff(30685,plain,
% 9.60/7.12 ((~![VarCurr: $i] : (v172(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v172(constB105) <=> (~((~v84(constB105, bitIndex2)) | v84(constB105, bitIndex1) | v84(constB105, bitIndex0))))),
% 9.60/7.12 inference(modus_ponens,[status(thm)],[30684, 30683])).
% 9.60/7.12 tff(30686,plain,
% 9.60/7.12 (v172(constB105) <=> (~((~v84(constB105, bitIndex2)) | v84(constB105, bitIndex1) | v84(constB105, bitIndex0)))),
% 9.60/7.12 inference(unit_resolution,[status(thm)],[30685, 26087])).
% 9.60/7.12 tff(30687,plain,
% 9.60/7.12 ((~(v172(constB105) <=> (~((~v84(constB105, bitIndex2)) | v84(constB105, bitIndex1) | v84(constB105, bitIndex0))))) | v172(constB105) | ((~v84(constB105, bitIndex2)) | v84(constB105, bitIndex1) | v84(constB105, bitIndex0))),
% 9.60/7.12 inference(tautology,[status(thm)],[])).
% 9.60/7.12 tff(30688,plain,
% 9.60/7.12 (v172(constB105)),
% 9.60/7.12 inference(unit_resolution,[status(thm)],[30687, 18426, 30686])).
% 9.60/7.12 tff(30689,plain,
% 9.60/7.12 ((~((~v171(constB105)) <=> v172(constB105))) | (~v171(constB105)) | (~v172(constB105))),
% 9.60/7.12 inference(tautology,[status(thm)],[])).
% 9.60/7.12 tff(30690,plain,
% 9.60/7.12 (~v171(constB105)),
% 9.60/7.12 inference(unit_resolution,[status(thm)],[30689, 30688, 30679])).
% 9.60/7.12 tff(30691,plain,
% 9.60/7.12 (((~v141(constB105)) | (~v171(constB105))) | v171(constB105)),
% 9.60/7.12 inference(tautology,[status(thm)],[])).
% 9.60/7.12 tff(30692,plain,
% 9.60/7.12 ((~v141(constB105)) | (~v171(constB105))),
% 9.60/7.12 inference(unit_resolution,[status(thm)],[30691, 30690])).
% 9.60/7.12 tff(30693,plain,
% 9.60/7.12 ((~(v170(constB105) <=> (~((~v141(constB105)) | (~v171(constB105)))))) | (~v170(constB105)) | (~((~v141(constB105)) | (~v171(constB105))))),
% 9.60/7.12 inference(tautology,[status(thm)],[])).
% 9.60/7.12 tff(30694,plain,
% 9.60/7.12 (~v170(constB105)),
% 9.60/7.12 inference(unit_resolution,[status(thm)],[30693, 30692, 30677])).
% 9.60/7.12 tff(30695,plain,
% 9.60/7.12 ($false),
% 9.60/7.12 inference(unit_resolution,[status(thm)],[30694, 30670])).
% 9.60/7.12 tff(30696,plain,(~(constB105 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.60/7.12 tff(30697,assumption,(constB175 = VarCurr!0), introduced(assumption)).
% 9.60/7.12 tff(30698,plain,
% 9.60/7.12 (v162(constB175) <=> v162(VarCurr!0)),
% 9.60/7.12 inference(monotonicity,[status(thm)],[30697])).
% 9.60/7.12 tff(30699,plain,
% 9.60/7.12 (v162(VarCurr!0) <=> v162(constB175)),
% 9.60/7.12 inference(symmetry,[status(thm)],[30698])).
% 9.60/7.12 tff(30700,plain,
% 9.60/7.12 (v162(constB175)),
% 9.60/7.12 inference(modus_ponens,[status(thm)],[59, 30699])).
% 9.60/7.12 tff(30701,plain,
% 9.60/7.12 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB174, constB175)) | (v162(constB175) <=> v160(constB174)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB174, constB175)) | (v162(constB175) <=> v160(constB174)))),
% 9.60/7.12 inference(rewrite,[status(thm)],[])).
% 9.60/7.12 tff(30702,plain,
% 9.60/7.12 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB174, constB175)) | (v162(constB175) <=> v160(constB174)))),
% 9.60/7.12 inference(quant_inst,[status(thm)],[])).
% 9.60/7.12 tff(30703,plain,
% 9.60/7.12 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB174, constB175)) | (v162(constB175) <=> v160(constB174))),
% 9.60/7.12 inference(modus_ponens,[status(thm)],[30702, 30701])).
% 9.60/7.12 tff(30704,plain,
% 9.60/7.12 (v162(constB175) <=> v160(constB174)),
% 9.60/7.12 inference(unit_resolution,[status(thm)],[30703, 1789, 70])).
% 9.60/7.12 tff(30705,plain,
% 9.60/7.12 ((~![VarCurr: $i] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB174) <=> (v163(constB174) | v164(constB174)))),
% 9.60/7.12 inference(quant_inst,[status(thm)],[])).
% 9.60/7.12 tff(30706,plain,
% 9.60/7.12 (v160(constB174) <=> (v163(constB174) | v164(constB174))),
% 9.60/7.12 inference(unit_resolution,[status(thm)],[30705, 84])).
% 9.60/7.12 tff(30707,plain,
% 9.60/7.12 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB174) <=> (~((~v130(constB174)) | (~v154(constB174)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB174) <=> (~((~v130(constB174)) | (~v154(constB174))))))),
% 9.60/7.12 inference(rewrite,[status(thm)],[])).
% 9.60/7.12 tff(30708,plain,
% 9.60/7.12 ((v164(constB174) <=> (~((~v154(constB174)) | (~v130(constB174))))) <=> (v164(constB174) <=> (~((~v130(constB174)) | (~v154(constB174)))))),
% 9.60/7.12 inference(rewrite,[status(thm)],[])).
% 9.60/7.12 tff(30709,plain,
% 9.60/7.12 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB174) <=> (~((~v154(constB174)) | (~v130(constB174)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB174) <=> (~((~v130(constB174)) | (~v154(constB174))))))),
% 9.60/7.12 inference(monotonicity,[status(thm)],[30708])).
% 9.60/7.12 tff(30710,plain,
% 9.60/7.12 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB174) <=> (~((~v154(constB174)) | (~v130(constB174)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB174) <=> (~((~v130(constB174)) | (~v154(constB174))))))),
% 9.60/7.12 inference(transitivity,[status(thm)],[30709, 30707])).
% 9.60/7.12 tff(30711,plain,
% 9.60/7.12 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB174) <=> (~((~v154(constB174)) | (~v130(constB174)))))),
% 9.60/7.12 inference(quant_inst,[status(thm)],[])).
% 9.60/7.12 tff(30712,plain,
% 9.60/7.12 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB174) <=> (~((~v130(constB174)) | (~v154(constB174)))))),
% 9.60/7.12 inference(modus_ponens,[status(thm)],[30711, 30710])).
% 9.60/7.12 tff(30713,plain,
% 9.60/7.12 (v164(constB174) <=> (~((~v130(constB174)) | (~v154(constB174))))),
% 9.60/7.12 inference(unit_resolution,[status(thm)],[30712, 96])).
% 9.60/7.12 tff(30714,plain,
% 9.60/7.12 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB174) <=> (~((~v141(constB174)) | (~v143(constB174)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB174) <=> (~((~v141(constB174)) | (~v143(constB174))))))),
% 9.60/7.12 inference(rewrite,[status(thm)],[])).
% 9.60/7.12 tff(30715,plain,
% 9.60/7.12 ((v154(constB174) <=> (~((~v143(constB174)) | (~v141(constB174))))) <=> (v154(constB174) <=> (~((~v141(constB174)) | (~v143(constB174)))))),
% 9.60/7.12 inference(rewrite,[status(thm)],[])).
% 9.60/7.12 tff(30716,plain,
% 9.60/7.12 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB174) <=> (~((~v143(constB174)) | (~v141(constB174)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB174) <=> (~((~v141(constB174)) | (~v143(constB174))))))),
% 9.60/7.12 inference(monotonicity,[status(thm)],[30715])).
% 9.60/7.12 tff(30717,plain,
% 9.60/7.12 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB174) <=> (~((~v143(constB174)) | (~v141(constB174)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB174) <=> (~((~v141(constB174)) | (~v143(constB174))))))),
% 9.60/7.12 inference(transitivity,[status(thm)],[30716, 30714])).
% 9.60/7.12 tff(30718,plain,
% 9.60/7.12 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB174) <=> (~((~v143(constB174)) | (~v141(constB174)))))),
% 9.60/7.12 inference(quant_inst,[status(thm)],[])).
% 9.60/7.12 tff(30719,plain,
% 9.60/7.12 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB174) <=> (~((~v141(constB174)) | (~v143(constB174)))))),
% 9.60/7.12 inference(modus_ponens,[status(thm)],[30718, 30717])).
% 9.60/7.12 tff(30720,plain,
% 9.60/7.12 (v154(constB174) <=> (~((~v141(constB174)) | (~v143(constB174))))),
% 9.60/7.12 inference(unit_resolution,[status(thm)],[30719, 113])).
% 9.60/7.12 tff(30721,plain,
% 9.60/7.12 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB174) <=> (~((~v39(constB174)) | (~v9(constB174)))))),
% 9.60/7.12 inference(quant_inst,[status(thm)],[])).
% 9.60/7.12 tff(30722,plain,
% 9.60/7.12 (v141(constB174) <=> (~((~v39(constB174)) | (~v9(constB174))))),
% 9.60/7.12 inference(unit_resolution,[status(thm)],[30721, 130])).
% 9.60/7.12 tff(30723,plain,
% 9.60/7.12 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB174)) <=> v1(constB174))),
% 9.60/7.12 inference(quant_inst,[status(thm)],[])).
% 9.60/7.12 tff(30724,plain,
% 9.60/7.12 ((~v39(constB174)) <=> v1(constB174)),
% 9.60/7.12 inference(unit_resolution,[status(thm)],[30723, 139])).
% 9.60/7.12 tff(30725,plain,
% 9.60/7.12 ((~((~v39(constB174)) <=> v1(constB174))) | (~v39(constB174)) | (~v1(constB174))),
% 9.60/7.12 inference(tautology,[status(thm)],[])).
% 9.60/7.12 tff(30726,plain,
% 9.60/7.12 ((~((~v39(constB174)) <=> v1(constB174))) | (~v39(constB174))),
% 9.60/7.12 inference(unit_resolution,[status(thm)],[30725, 1851])).
% 9.60/7.12 tff(30727,plain,
% 9.60/7.12 (~v39(constB174)),
% 9.60/7.12 inference(unit_resolution,[status(thm)],[30726, 30724])).
% 9.60/7.12 tff(30728,plain,
% 9.60/7.12 (((~v39(constB174)) | (~v9(constB174))) | v39(constB174)),
% 9.60/7.12 inference(tautology,[status(thm)],[])).
% 9.60/7.12 tff(30729,plain,
% 9.60/7.12 ((~v39(constB174)) | (~v9(constB174))),
% 9.60/7.12 inference(unit_resolution,[status(thm)],[30728, 30727])).
% 9.60/7.12 tff(30730,plain,
% 9.60/7.12 ((~(v141(constB174) <=> (~((~v39(constB174)) | (~v9(constB174)))))) | (~v141(constB174)) | (~((~v39(constB174)) | (~v9(constB174))))),
% 9.60/7.12 inference(tautology,[status(thm)],[])).
% 9.60/7.12 tff(30731,plain,
% 9.60/7.12 ((~(v141(constB174) <=> (~((~v39(constB174)) | (~v9(constB174)))))) | (~v141(constB174))),
% 9.60/7.12 inference(unit_resolution,[status(thm)],[30730, 30729])).
% 9.60/7.12 tff(30732,plain,
% 9.60/7.12 (~v141(constB174)),
% 9.60/7.12 inference(unit_resolution,[status(thm)],[30731, 30722])).
% 9.60/7.12 tff(30733,plain,
% 9.60/7.12 (((~v141(constB174)) | (~v143(constB174))) | v141(constB174)),
% 9.60/7.12 inference(tautology,[status(thm)],[])).
% 9.60/7.12 tff(30734,plain,
% 9.60/7.12 ((~v141(constB174)) | (~v143(constB174))),
% 9.60/7.12 inference(unit_resolution,[status(thm)],[30733, 30732])).
% 9.60/7.12 tff(30735,plain,
% 9.60/7.12 ((~(v154(constB174) <=> (~((~v141(constB174)) | (~v143(constB174)))))) | (~v154(constB174)) | (~((~v141(constB174)) | (~v143(constB174))))),
% 9.60/7.12 inference(tautology,[status(thm)],[])).
% 9.60/7.12 tff(30736,plain,
% 9.60/7.12 ((~(v154(constB174) <=> (~((~v141(constB174)) | (~v143(constB174)))))) | (~v154(constB174))),
% 9.60/7.12 inference(unit_resolution,[status(thm)],[30735, 30734])).
% 9.60/7.12 tff(30737,plain,
% 9.60/7.12 (~v154(constB174)),
% 9.60/7.12 inference(unit_resolution,[status(thm)],[30736, 30720])).
% 9.60/7.12 tff(30738,plain,
% 9.60/7.12 (((~v130(constB174)) | (~v154(constB174))) | v154(constB174)),
% 9.60/7.12 inference(tautology,[status(thm)],[])).
% 9.60/7.12 tff(30739,plain,
% 9.60/7.12 ((~v130(constB174)) | (~v154(constB174))),
% 9.60/7.12 inference(unit_resolution,[status(thm)],[30738, 30737])).
% 9.60/7.12 tff(30740,plain,
% 9.60/7.12 ((~(v164(constB174) <=> (~((~v130(constB174)) | (~v154(constB174)))))) | (~v164(constB174)) | (~((~v130(constB174)) | (~v154(constB174))))),
% 9.60/7.12 inference(tautology,[status(thm)],[])).
% 9.60/7.12 tff(30741,plain,
% 9.60/7.12 (~v164(constB174)),
% 9.60/7.12 inference(unit_resolution,[status(thm)],[30740, 30739, 30713])).
% 9.60/7.12 tff(30742,plain,
% 9.60/7.12 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB174) <=> (~((~v128(constB174)) | (~v139(constB174)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB174) <=> (~((~v128(constB174)) | (~v139(constB174))))))),
% 9.60/7.12 inference(rewrite,[status(thm)],[])).
% 9.60/7.12 tff(30743,plain,
% 9.60/7.12 ((v163(constB174) <=> (~((~v139(constB174)) | (~v128(constB174))))) <=> (v163(constB174) <=> (~((~v128(constB174)) | (~v139(constB174)))))),
% 9.60/7.12 inference(rewrite,[status(thm)],[])).
% 9.60/7.12 tff(30744,plain,
% 9.60/7.12 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB174) <=> (~((~v139(constB174)) | (~v128(constB174)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB174) <=> (~((~v128(constB174)) | (~v139(constB174))))))),
% 9.60/7.12 inference(monotonicity,[status(thm)],[30743])).
% 9.60/7.12 tff(30745,plain,
% 9.60/7.12 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB174) <=> (~((~v139(constB174)) | (~v128(constB174)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB174) <=> (~((~v128(constB174)) | (~v139(constB174))))))),
% 9.60/7.12 inference(transitivity,[status(thm)],[30744, 30742])).
% 9.60/7.12 tff(30746,plain,
% 9.60/7.12 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB174) <=> (~((~v139(constB174)) | (~v128(constB174)))))),
% 9.60/7.12 inference(quant_inst,[status(thm)],[])).
% 9.60/7.12 tff(30747,plain,
% 9.60/7.12 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB174) <=> (~((~v128(constB174)) | (~v139(constB174)))))),
% 9.60/7.12 inference(modus_ponens,[status(thm)],[30746, 30745])).
% 9.60/7.12 tff(30748,plain,
% 9.60/7.12 (v163(constB174) <=> (~((~v128(constB174)) | (~v139(constB174))))),
% 9.60/7.12 inference(unit_resolution,[status(thm)],[30747, 171])).
% 9.60/7.12 tff(30749,plain,
% 9.60/7.12 ((~![VarNext: $i] : (v128(VarNext) <=> v162(VarNext))) | (v128(constB174) <=> v162(constB174))),
% 9.60/7.12 inference(quant_inst,[status(thm)],[])).
% 9.60/7.12 tff(30750,plain,
% 9.60/7.12 (v128(constB174) <=> v162(constB174)),
% 9.60/7.12 inference(unit_resolution,[status(thm)],[30749, 13])).
% 9.60/7.12 tff(30751,plain,
% 9.60/7.12 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB173, constB174)) | (v162(constB174) <=> v160(constB173)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB173, constB174)) | (v162(constB174) <=> v160(constB173)))),
% 9.60/7.12 inference(rewrite,[status(thm)],[])).
% 9.60/7.12 tff(30752,plain,
% 9.60/7.12 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB173, constB174)) | (v162(constB174) <=> v160(constB173)))),
% 9.60/7.12 inference(quant_inst,[status(thm)],[])).
% 9.60/7.12 tff(30753,plain,
% 9.60/7.12 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB173, constB174)) | (v162(constB174) <=> v160(constB173))),
% 9.60/7.12 inference(modus_ponens,[status(thm)],[30752, 30751])).
% 9.60/7.12 tff(30754,plain,
% 9.60/7.12 (v162(constB174) <=> v160(constB173)),
% 9.60/7.12 inference(unit_resolution,[status(thm)],[30753, 1821, 70])).
% 9.60/7.12 tff(30755,plain,
% 9.60/7.12 ((~![VarCurr: $i] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB173) <=> (v163(constB173) | v164(constB173)))),
% 9.60/7.12 inference(quant_inst,[status(thm)],[])).
% 9.60/7.12 tff(30756,plain,
% 9.60/7.12 (v160(constB173) <=> (v163(constB173) | v164(constB173))),
% 9.60/7.12 inference(unit_resolution,[status(thm)],[30755, 84])).
% 9.60/7.12 tff(30757,plain,
% 9.60/7.12 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB173) <=> (~((~v128(constB173)) | (~v139(constB173)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB173) <=> (~((~v128(constB173)) | (~v139(constB173))))))),
% 9.60/7.12 inference(rewrite,[status(thm)],[])).
% 9.60/7.12 tff(30758,plain,
% 9.60/7.12 ((v163(constB173) <=> (~((~v139(constB173)) | (~v128(constB173))))) <=> (v163(constB173) <=> (~((~v128(constB173)) | (~v139(constB173)))))),
% 9.60/7.12 inference(rewrite,[status(thm)],[])).
% 9.60/7.12 tff(30759,plain,
% 9.60/7.12 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB173) <=> (~((~v139(constB173)) | (~v128(constB173)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB173) <=> (~((~v128(constB173)) | (~v139(constB173))))))),
% 9.60/7.12 inference(monotonicity,[status(thm)],[30758])).
% 9.60/7.12 tff(30760,plain,
% 9.60/7.12 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB173) <=> (~((~v139(constB173)) | (~v128(constB173)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB173) <=> (~((~v128(constB173)) | (~v139(constB173))))))),
% 9.60/7.12 inference(transitivity,[status(thm)],[30759, 30757])).
% 9.60/7.12 tff(30761,plain,
% 9.60/7.12 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB173) <=> (~((~v139(constB173)) | (~v128(constB173)))))),
% 9.60/7.12 inference(quant_inst,[status(thm)],[])).
% 9.60/7.12 tff(30762,plain,
% 9.60/7.12 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB173) <=> (~((~v128(constB173)) | (~v139(constB173)))))),
% 9.60/7.12 inference(modus_ponens,[status(thm)],[30761, 30760])).
% 9.60/7.12 tff(30763,plain,
% 9.60/7.12 (v163(constB173) <=> (~((~v128(constB173)) | (~v139(constB173))))),
% 9.60/7.12 inference(unit_resolution,[status(thm)],[30762, 171])).
% 9.60/7.12 tff(30764,plain,
% 9.60/7.12 ((~![VarCurr: $i] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB173)) <=> v140(constB173))),
% 9.60/7.12 inference(quant_inst,[status(thm)],[])).
% 9.60/7.12 tff(30765,plain,
% 9.60/7.12 ((~v139(constB173)) <=> v140(constB173)),
% 9.60/7.12 inference(unit_resolution,[status(thm)],[30764, 203])).
% 9.60/7.12 tff(30766,plain,
% 9.60/7.12 ((~![VarCurr: $i] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB173) <=> (v141(constB173) | v26(constB173)))),
% 9.60/7.12 inference(quant_inst,[status(thm)],[])).
% 9.60/7.12 tff(30767,plain,
% 9.60/7.12 (v140(constB173) <=> (v141(constB173) | v26(constB173))),
% 9.60/7.12 inference(unit_resolution,[status(thm)],[30766, 212])).
% 9.60/7.12 tff(30768,plain,
% 9.60/7.12 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB173) <=> (~((~v39(constB173)) | (~v9(constB173)))))),
% 9.60/7.12 inference(quant_inst,[status(thm)],[])).
% 9.60/7.12 tff(30769,plain,
% 9.60/7.12 (v141(constB173) <=> (~((~v39(constB173)) | (~v9(constB173))))),
% 9.60/7.12 inference(unit_resolution,[status(thm)],[30768, 130])).
% 9.60/7.12 tff(30770,plain,
% 9.60/7.12 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB173, constB174)) | (v13(constB174) <=> v9(constB173)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB173, constB174)) | (v13(constB174) <=> v9(constB173)))),
% 9.60/7.12 inference(rewrite,[status(thm)],[])).
% 9.60/7.12 tff(30771,plain,
% 9.60/7.12 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB173, constB174)) | (v13(constB174) <=> v9(constB173)))),
% 9.60/7.12 inference(quant_inst,[status(thm)],[])).
% 9.60/7.12 tff(30772,plain,
% 9.60/7.12 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB173, constB174)) | (v13(constB174) <=> v9(constB173))),
% 9.60/7.12 inference(modus_ponens,[status(thm)],[30771, 30770])).
% 9.60/7.12 tff(30773,plain,
% 9.60/7.12 (v13(constB174) <=> v9(constB173)),
% 9.60/7.12 inference(unit_resolution,[status(thm)],[30772, 1821, 226])).
% 9.60/7.12 tff(30774,plain,
% 9.60/7.12 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB174) <=> v13(constB174))),
% 9.60/7.12 inference(quant_inst,[status(thm)],[])).
% 9.60/7.12 tff(30775,plain,
% 9.60/7.12 (v6(constB174) <=> v13(constB174)),
% 9.60/7.12 inference(unit_resolution,[status(thm)],[30774, 240])).
% 9.60/7.12 tff(30776,plain,
% 9.60/7.12 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB174)) <=> v6(constB174))),
% 9.60/7.12 inference(quant_inst,[status(thm)],[])).
% 9.60/7.12 tff(30777,plain,
% 9.60/7.12 ((~v21(constB174)) <=> v6(constB174)),
% 9.60/7.12 inference(unit_resolution,[status(thm)],[30776, 249])).
% 9.60/7.12 tff(30778,plain,
% 9.60/7.12 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB174) <=> (v20(constB174) | v21(constB174)))),
% 9.60/7.12 inference(quant_inst,[status(thm)],[])).
% 9.60/7.12 tff(30779,plain,
% 9.60/7.12 (v19(constB174) <=> (v20(constB174) | v21(constB174))),
% 9.60/7.12 inference(unit_resolution,[status(thm)],[30778, 258])).
% 9.60/7.12 tff(30780,plain,
% 9.60/7.12 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB174) <=> (~((~v19(constB174)) | (~v22(constB174)))))),
% 9.60/7.12 inference(quant_inst,[status(thm)],[])).
% 9.60/7.12 tff(30781,plain,
% 9.60/7.12 (v18(constB174) <=> (~((~v19(constB174)) | (~v22(constB174))))),
% 9.60/7.12 inference(unit_resolution,[status(thm)],[30780, 270])).
% 9.60/7.12 tff(30782,plain,
% 9.60/7.12 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB174)) <=> v18(constB174))),
% 9.60/7.12 inference(quant_inst,[status(thm)],[])).
% 9.60/7.12 tff(30783,plain,
% 9.60/7.12 ((~v4(constB174)) <=> v18(constB174)),
% 9.60/7.12 inference(unit_resolution,[status(thm)],[30782, 279])).
% 9.60/7.12 tff(30784,plain,
% 9.60/7.12 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB174)),
% 9.60/7.12 inference(quant_inst,[status(thm)],[])).
% 9.60/7.12 tff(30785,plain,
% 9.60/7.12 (v4(constB174)),
% 9.60/7.12 inference(unit_resolution,[status(thm)],[30784, 288])).
% 9.60/7.12 tff(30786,plain,
% 9.60/7.12 ((~((~v4(constB174)) <=> v18(constB174))) | (~v4(constB174)) | (~v18(constB174))),
% 9.60/7.12 inference(tautology,[status(thm)],[])).
% 9.60/7.12 tff(30787,plain,
% 9.60/7.12 (~v18(constB174)),
% 9.60/7.12 inference(unit_resolution,[status(thm)],[30786, 30785, 30783])).
% 9.60/7.12 tff(30788,plain,
% 9.60/7.12 ((~(v18(constB174) <=> (~((~v19(constB174)) | (~v22(constB174)))))) | v18(constB174) | ((~v19(constB174)) | (~v22(constB174)))),
% 9.60/7.12 inference(tautology,[status(thm)],[])).
% 9.60/7.12 tff(30789,plain,
% 9.60/7.12 ((~v19(constB174)) | (~v22(constB174))),
% 9.60/7.12 inference(unit_resolution,[status(thm)],[30788, 30787, 30781])).
% 9.60/7.12 tff(30790,plain,
% 9.60/7.12 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB174) <=> (v1(constB174) | v6(constB174)))),
% 9.60/7.12 inference(quant_inst,[status(thm)],[])).
% 9.60/7.12 tff(30791,plain,
% 9.60/7.12 (v22(constB174) <=> (v1(constB174) | v6(constB174))),
% 9.60/7.12 inference(unit_resolution,[status(thm)],[30790, 301])).
% 9.60/7.12 tff(30792,plain,
% 9.60/7.12 ((v1(constB174) | v6(constB174)) | (~v1(constB174))),
% 9.60/7.12 inference(tautology,[status(thm)],[])).
% 9.60/7.12 tff(30793,plain,
% 9.60/7.12 (v1(constB174) | v6(constB174)),
% 9.60/7.12 inference(unit_resolution,[status(thm)],[30792, 1851])).
% 9.60/7.12 tff(30794,plain,
% 9.60/7.12 ((~(v22(constB174) <=> (v1(constB174) | v6(constB174)))) | v22(constB174) | (~(v1(constB174) | v6(constB174)))),
% 9.60/7.12 inference(tautology,[status(thm)],[])).
% 9.60/7.12 tff(30795,plain,
% 9.60/7.12 ((~(v22(constB174) <=> (v1(constB174) | v6(constB174)))) | v22(constB174)),
% 9.60/7.12 inference(unit_resolution,[status(thm)],[30794, 30793])).
% 9.60/7.12 tff(30796,plain,
% 9.60/7.12 (v22(constB174)),
% 9.60/7.12 inference(unit_resolution,[status(thm)],[30795, 30791])).
% 9.60/7.12 tff(30797,plain,
% 9.60/7.12 ((~((~v19(constB174)) | (~v22(constB174)))) | (~v19(constB174)) | (~v22(constB174))),
% 9.60/7.12 inference(tautology,[status(thm)],[])).
% 9.60/7.12 tff(30798,plain,
% 9.60/7.12 ((~((~v19(constB174)) | (~v22(constB174)))) | (~v19(constB174))),
% 9.60/7.12 inference(unit_resolution,[status(thm)],[30797, 30796])).
% 9.60/7.12 tff(30799,plain,
% 9.60/7.12 (~v19(constB174)),
% 9.60/7.12 inference(unit_resolution,[status(thm)],[30798, 30789])).
% 9.60/7.12 tff(30800,plain,
% 9.60/7.12 ((~(v19(constB174) <=> (v20(constB174) | v21(constB174)))) | v19(constB174) | (~(v20(constB174) | v21(constB174)))),
% 9.60/7.12 inference(tautology,[status(thm)],[])).
% 9.60/7.12 tff(30801,plain,
% 9.60/7.12 (~(v20(constB174) | v21(constB174))),
% 9.60/7.12 inference(unit_resolution,[status(thm)],[30800, 30799, 30779])).
% 9.60/7.12 tff(30802,plain,
% 9.60/7.12 ((v20(constB174) | v21(constB174)) | (~v21(constB174))),
% 9.60/7.12 inference(tautology,[status(thm)],[])).
% 9.60/7.12 tff(30803,plain,
% 9.60/7.12 (~v21(constB174)),
% 9.60/7.12 inference(unit_resolution,[status(thm)],[30802, 30801])).
% 9.60/7.12 tff(30804,plain,
% 9.60/7.12 ((~((~v21(constB174)) <=> v6(constB174))) | v21(constB174) | v6(constB174)),
% 9.60/7.12 inference(tautology,[status(thm)],[])).
% 9.60/7.12 tff(30805,plain,
% 9.60/7.12 (v6(constB174)),
% 9.60/7.12 inference(unit_resolution,[status(thm)],[30804, 30803, 30777])).
% 9.60/7.12 tff(30806,plain,
% 9.60/7.12 ((~(v6(constB174) <=> v13(constB174))) | (~v6(constB174)) | v13(constB174)),
% 9.60/7.12 inference(tautology,[status(thm)],[])).
% 9.60/7.12 tff(30807,plain,
% 9.60/7.12 (v13(constB174)),
% 9.60/7.12 inference(unit_resolution,[status(thm)],[30806, 30805, 30775])).
% 9.60/7.12 tff(30808,plain,
% 9.60/7.12 ((~(v13(constB174) <=> v9(constB173))) | (~v13(constB174)) | v9(constB173)),
% 9.60/7.12 inference(tautology,[status(thm)],[])).
% 9.60/7.12 tff(30809,plain,
% 9.60/7.12 (v9(constB173)),
% 9.60/7.12 inference(unit_resolution,[status(thm)],[30808, 30807, 30773])).
% 9.60/7.12 tff(30810,plain,
% 9.60/7.12 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB173)) <=> v1(constB173))),
% 9.60/7.12 inference(quant_inst,[status(thm)],[])).
% 9.60/7.12 tff(30811,plain,
% 9.60/7.12 ((~v39(constB173)) <=> v1(constB173)),
% 9.60/7.12 inference(unit_resolution,[status(thm)],[30810, 139])).
% 9.60/7.12 tff(30812,plain,
% 9.60/7.12 ((~((~v39(constB173)) <=> v1(constB173))) | v39(constB173) | v1(constB173)),
% 9.60/7.12 inference(tautology,[status(thm)],[])).
% 9.60/7.12 tff(30813,plain,
% 9.60/7.12 ((~((~v39(constB173)) <=> v1(constB173))) | v39(constB173)),
% 9.60/7.12 inference(unit_resolution,[status(thm)],[30812, 1843])).
% 9.60/7.12 tff(30814,plain,
% 9.60/7.12 (v39(constB173)),
% 9.60/7.12 inference(unit_resolution,[status(thm)],[30813, 30811])).
% 9.60/7.12 tff(30815,plain,
% 9.60/7.12 ((~((~v39(constB173)) | (~v9(constB173)))) | (~v39(constB173)) | (~v9(constB173))),
% 9.60/7.12 inference(tautology,[status(thm)],[])).
% 9.60/7.12 tff(30816,plain,
% 9.60/7.12 ((~((~v39(constB173)) | (~v9(constB173)))) | (~v9(constB173))),
% 9.60/7.12 inference(unit_resolution,[status(thm)],[30815, 30814])).
% 9.60/7.12 tff(30817,plain,
% 9.60/7.12 (~((~v39(constB173)) | (~v9(constB173)))),
% 9.60/7.12 inference(unit_resolution,[status(thm)],[30816, 30809])).
% 9.60/7.12 tff(30818,plain,
% 9.60/7.12 ((~(v141(constB173) <=> (~((~v39(constB173)) | (~v9(constB173)))))) | v141(constB173) | ((~v39(constB173)) | (~v9(constB173)))),
% 9.60/7.12 inference(tautology,[status(thm)],[])).
% 9.60/7.12 tff(30819,plain,
% 9.60/7.12 (v141(constB173)),
% 9.60/7.12 inference(unit_resolution,[status(thm)],[30818, 30817, 30769])).
% 9.60/7.12 tff(30820,plain,
% 9.60/7.12 ((v141(constB173) | v26(constB173)) | (~v141(constB173))),
% 9.60/7.12 inference(tautology,[status(thm)],[])).
% 9.60/7.12 tff(30821,plain,
% 9.60/7.12 (v141(constB173) | v26(constB173)),
% 9.60/7.12 inference(unit_resolution,[status(thm)],[30820, 30819])).
% 9.60/7.12 tff(30822,plain,
% 9.60/7.12 ((~(v140(constB173) <=> (v141(constB173) | v26(constB173)))) | v140(constB173) | (~(v141(constB173) | v26(constB173)))),
% 9.60/7.12 inference(tautology,[status(thm)],[])).
% 9.60/7.12 tff(30823,plain,
% 9.60/7.12 (v140(constB173)),
% 9.60/7.12 inference(unit_resolution,[status(thm)],[30822, 30821, 30767])).
% 9.60/7.12 tff(30824,plain,
% 9.60/7.12 ((~((~v139(constB173)) <=> v140(constB173))) | (~v139(constB173)) | (~v140(constB173))),
% 9.60/7.12 inference(tautology,[status(thm)],[])).
% 9.60/7.12 tff(30825,plain,
% 9.60/7.12 (~v139(constB173)),
% 9.60/7.12 inference(unit_resolution,[status(thm)],[30824, 30823, 30765])).
% 9.60/7.12 tff(30826,plain,
% 9.60/7.12 (((~v128(constB173)) | (~v139(constB173))) | v139(constB173)),
% 9.60/7.12 inference(tautology,[status(thm)],[])).
% 9.60/7.12 tff(30827,plain,
% 9.60/7.12 ((~v128(constB173)) | (~v139(constB173))),
% 9.60/7.12 inference(unit_resolution,[status(thm)],[30826, 30825])).
% 9.60/7.12 tff(30828,plain,
% 9.60/7.12 ((~(v163(constB173) <=> (~((~v128(constB173)) | (~v139(constB173)))))) | (~v163(constB173)) | (~((~v128(constB173)) | (~v139(constB173))))),
% 9.60/7.12 inference(tautology,[status(thm)],[])).
% 9.60/7.12 tff(30829,plain,
% 9.60/7.12 (~v163(constB173)),
% 9.60/7.12 inference(unit_resolution,[status(thm)],[30828, 30827, 30763])).
% 9.60/7.12 tff(30830,plain,
% 9.60/7.12 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB173) <=> (~((~v130(constB173)) | (~v154(constB173)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB173) <=> (~((~v130(constB173)) | (~v154(constB173))))))),
% 9.60/7.12 inference(rewrite,[status(thm)],[])).
% 9.60/7.12 tff(30831,plain,
% 9.60/7.12 ((v164(constB173) <=> (~((~v154(constB173)) | (~v130(constB173))))) <=> (v164(constB173) <=> (~((~v130(constB173)) | (~v154(constB173)))))),
% 9.60/7.12 inference(rewrite,[status(thm)],[])).
% 9.60/7.12 tff(30832,plain,
% 9.60/7.12 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB173) <=> (~((~v154(constB173)) | (~v130(constB173)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB173) <=> (~((~v130(constB173)) | (~v154(constB173))))))),
% 9.60/7.12 inference(monotonicity,[status(thm)],[30831])).
% 9.60/7.12 tff(30833,plain,
% 9.60/7.12 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB173) <=> (~((~v154(constB173)) | (~v130(constB173)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB173) <=> (~((~v130(constB173)) | (~v154(constB173))))))),
% 9.60/7.12 inference(transitivity,[status(thm)],[30832, 30830])).
% 9.60/7.12 tff(30834,plain,
% 9.60/7.12 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB173) <=> (~((~v154(constB173)) | (~v130(constB173)))))),
% 9.60/7.12 inference(quant_inst,[status(thm)],[])).
% 9.60/7.12 tff(30835,plain,
% 9.60/7.12 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB173) <=> (~((~v130(constB173)) | (~v154(constB173)))))),
% 9.60/7.12 inference(modus_ponens,[status(thm)],[30834, 30833])).
% 9.60/7.12 tff(30836,plain,
% 9.60/7.12 (v164(constB173) <=> (~((~v130(constB173)) | (~v154(constB173))))),
% 9.60/7.12 inference(unit_resolution,[status(thm)],[30835, 96])).
% 9.60/7.12 tff(30837,plain,
% 9.60/7.12 ((~![VarNext: $i] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB173) <=> v152(constB173))),
% 9.60/7.12 inference(quant_inst,[status(thm)],[])).
% 9.60/7.12 tff(30838,plain,
% 9.60/7.12 (v130(constB173) <=> v152(constB173)),
% 9.60/7.12 inference(unit_resolution,[status(thm)],[30837, 361])).
% 9.60/7.12 tff(30839,plain,
% 9.60/7.12 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB172, constB173)) | (v152(constB173) <=> v150(constB172)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB172, constB173)) | (v152(constB173) <=> v150(constB172)))),
% 9.60/7.12 inference(rewrite,[status(thm)],[])).
% 9.60/7.12 tff(30840,plain,
% 9.60/7.12 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB172, constB173)) | (v152(constB173) <=> v150(constB172)))),
% 9.60/7.12 inference(quant_inst,[status(thm)],[])).
% 9.60/7.12 tff(30841,plain,
% 9.60/7.12 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB172, constB173)) | (v152(constB173) <=> v150(constB172))),
% 9.60/7.12 inference(modus_ponens,[status(thm)],[30840, 30839])).
% 9.60/7.12 tff(30842,plain,
% 9.60/7.12 (v152(constB173) <=> v150(constB172)),
% 9.60/7.12 inference(unit_resolution,[status(thm)],[30841, 1884, 373])).
% 9.60/7.12 tff(30843,plain,
% 9.60/7.12 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v153(VarCurr) | v155(VarCurr)))) | (v150(constB172) <=> (v153(constB172) | v155(constB172)))),
% 9.60/7.12 inference(quant_inst,[status(thm)],[])).
% 9.60/7.12 tff(30844,plain,
% 9.60/7.12 (v150(constB172) <=> (v153(constB172) | v155(constB172))),
% 9.60/7.12 inference(unit_resolution,[status(thm)],[30843, 387])).
% 9.60/7.12 tff(30845,plain,
% 9.60/7.12 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB172) <=> (~((~v132(constB172)) | (~v154(constB172)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB172) <=> (~((~v132(constB172)) | (~v154(constB172))))))),
% 9.60/7.12 inference(rewrite,[status(thm)],[])).
% 9.60/7.12 tff(30846,plain,
% 9.60/7.12 ((v153(constB172) <=> (~((~v154(constB172)) | (~v132(constB172))))) <=> (v153(constB172) <=> (~((~v132(constB172)) | (~v154(constB172)))))),
% 9.60/7.12 inference(rewrite,[status(thm)],[])).
% 9.60/7.12 tff(30847,plain,
% 9.60/7.12 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB172) <=> (~((~v154(constB172)) | (~v132(constB172)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB172) <=> (~((~v132(constB172)) | (~v154(constB172))))))),
% 9.60/7.12 inference(monotonicity,[status(thm)],[30846])).
% 9.60/7.12 tff(30848,plain,
% 9.60/7.12 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB172) <=> (~((~v154(constB172)) | (~v132(constB172)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB172) <=> (~((~v132(constB172)) | (~v154(constB172))))))),
% 9.60/7.12 inference(transitivity,[status(thm)],[30847, 30845])).
% 9.60/7.12 tff(30849,plain,
% 9.60/7.12 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB172) <=> (~((~v154(constB172)) | (~v132(constB172)))))),
% 9.60/7.12 inference(quant_inst,[status(thm)],[])).
% 9.60/7.12 tff(30850,plain,
% 9.60/7.12 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB172) <=> (~((~v132(constB172)) | (~v154(constB172)))))),
% 9.60/7.12 inference(modus_ponens,[status(thm)],[30849, 30848])).
% 9.60/7.12 tff(30851,plain,
% 9.60/7.12 (v153(constB172) <=> (~((~v132(constB172)) | (~v154(constB172))))),
% 9.60/7.12 inference(unit_resolution,[status(thm)],[30850, 399])).
% 9.60/7.12 tff(30852,plain,
% 9.60/7.12 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB172) <=> (~((~v141(constB172)) | (~v143(constB172)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB172) <=> (~((~v141(constB172)) | (~v143(constB172))))))),
% 9.60/7.12 inference(rewrite,[status(thm)],[])).
% 9.60/7.12 tff(30853,plain,
% 9.60/7.12 ((v154(constB172) <=> (~((~v143(constB172)) | (~v141(constB172))))) <=> (v154(constB172) <=> (~((~v141(constB172)) | (~v143(constB172)))))),
% 9.60/7.12 inference(rewrite,[status(thm)],[])).
% 9.60/7.12 tff(30854,plain,
% 9.60/7.12 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB172) <=> (~((~v143(constB172)) | (~v141(constB172)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB172) <=> (~((~v141(constB172)) | (~v143(constB172))))))),
% 9.60/7.12 inference(monotonicity,[status(thm)],[30853])).
% 9.60/7.12 tff(30855,plain,
% 9.60/7.12 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB172) <=> (~((~v143(constB172)) | (~v141(constB172)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB172) <=> (~((~v141(constB172)) | (~v143(constB172))))))),
% 9.60/7.12 inference(transitivity,[status(thm)],[30854, 30852])).
% 9.60/7.12 tff(30856,plain,
% 9.60/7.12 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB172) <=> (~((~v143(constB172)) | (~v141(constB172)))))),
% 9.60/7.12 inference(quant_inst,[status(thm)],[])).
% 9.60/7.12 tff(30857,plain,
% 9.60/7.12 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB172) <=> (~((~v141(constB172)) | (~v143(constB172)))))),
% 9.60/7.12 inference(modus_ponens,[status(thm)],[30856, 30855])).
% 9.60/7.12 tff(30858,plain,
% 9.60/7.12 (v154(constB172) <=> (~((~v141(constB172)) | (~v143(constB172))))),
% 9.60/7.12 inference(unit_resolution,[status(thm)],[30857, 113])).
% 9.60/7.12 tff(30859,plain,
% 9.60/7.12 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB172) <=> (~((~v39(constB172)) | (~v9(constB172)))))),
% 9.60/7.12 inference(quant_inst,[status(thm)],[])).
% 9.60/7.12 tff(30860,plain,
% 9.60/7.12 (v141(constB172) <=> (~((~v39(constB172)) | (~v9(constB172))))),
% 9.60/7.12 inference(unit_resolution,[status(thm)],[30859, 130])).
% 9.60/7.12 tff(30861,plain,
% 9.60/7.12 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB172)) <=> v1(constB172))),
% 9.60/7.12 inference(quant_inst,[status(thm)],[])).
% 9.60/7.12 tff(30862,plain,
% 9.60/7.12 ((~v39(constB172)) <=> v1(constB172)),
% 9.60/7.12 inference(unit_resolution,[status(thm)],[30861, 139])).
% 9.60/7.12 tff(30863,plain,
% 9.60/7.12 ((~((~v39(constB172)) <=> v1(constB172))) | (~v39(constB172)) | (~v1(constB172))),
% 9.60/7.12 inference(tautology,[status(thm)],[])).
% 9.60/7.12 tff(30864,plain,
% 9.60/7.12 ((~((~v39(constB172)) <=> v1(constB172))) | (~v39(constB172))),
% 9.60/7.12 inference(unit_resolution,[status(thm)],[30863, 1946])).
% 9.60/7.12 tff(30865,plain,
% 9.60/7.12 (~v39(constB172)),
% 9.60/7.12 inference(unit_resolution,[status(thm)],[30864, 30862])).
% 9.60/7.12 tff(30866,plain,
% 9.60/7.12 (((~v39(constB172)) | (~v9(constB172))) | v39(constB172)),
% 9.60/7.12 inference(tautology,[status(thm)],[])).
% 9.60/7.12 tff(30867,plain,
% 9.60/7.12 ((~v39(constB172)) | (~v9(constB172))),
% 9.60/7.12 inference(unit_resolution,[status(thm)],[30866, 30865])).
% 9.60/7.12 tff(30868,plain,
% 9.60/7.12 ((~(v141(constB172) <=> (~((~v39(constB172)) | (~v9(constB172)))))) | (~v141(constB172)) | (~((~v39(constB172)) | (~v9(constB172))))),
% 9.60/7.12 inference(tautology,[status(thm)],[])).
% 9.60/7.12 tff(30869,plain,
% 9.60/7.12 ((~(v141(constB172) <=> (~((~v39(constB172)) | (~v9(constB172)))))) | (~v141(constB172))),
% 9.60/7.12 inference(unit_resolution,[status(thm)],[30868, 30867])).
% 9.60/7.12 tff(30870,plain,
% 9.60/7.12 (~v141(constB172)),
% 9.60/7.12 inference(unit_resolution,[status(thm)],[30869, 30860])).
% 9.60/7.12 tff(30871,plain,
% 9.60/7.12 (((~v141(constB172)) | (~v143(constB172))) | v141(constB172)),
% 9.60/7.12 inference(tautology,[status(thm)],[])).
% 9.60/7.12 tff(30872,plain,
% 9.60/7.12 ((~v141(constB172)) | (~v143(constB172))),
% 9.60/7.12 inference(unit_resolution,[status(thm)],[30871, 30870])).
% 9.60/7.12 tff(30873,plain,
% 9.60/7.12 ((~(v154(constB172) <=> (~((~v141(constB172)) | (~v143(constB172)))))) | (~v154(constB172)) | (~((~v141(constB172)) | (~v143(constB172))))),
% 9.60/7.12 inference(tautology,[status(thm)],[])).
% 9.60/7.12 tff(30874,plain,
% 9.60/7.12 ((~(v154(constB172) <=> (~((~v141(constB172)) | (~v143(constB172)))))) | (~v154(constB172))),
% 9.60/7.12 inference(unit_resolution,[status(thm)],[30873, 30872])).
% 9.60/7.12 tff(30875,plain,
% 9.60/7.12 (~v154(constB172)),
% 9.60/7.12 inference(unit_resolution,[status(thm)],[30874, 30858])).
% 9.60/7.12 tff(30876,plain,
% 9.60/7.12 (((~v132(constB172)) | (~v154(constB172))) | v154(constB172)),
% 9.60/7.12 inference(tautology,[status(thm)],[])).
% 9.60/7.12 tff(30877,plain,
% 9.60/7.12 ((~v132(constB172)) | (~v154(constB172))),
% 9.60/7.12 inference(unit_resolution,[status(thm)],[30876, 30875])).
% 9.60/7.12 tff(30878,plain,
% 9.60/7.12 ((~(v153(constB172) <=> (~((~v132(constB172)) | (~v154(constB172)))))) | (~v153(constB172)) | (~((~v132(constB172)) | (~v154(constB172))))),
% 9.60/7.12 inference(tautology,[status(thm)],[])).
% 9.60/7.12 tff(30879,plain,
% 9.60/7.12 (~v153(constB172)),
% 9.60/7.12 inference(unit_resolution,[status(thm)],[30878, 30877, 30851])).
% 9.60/7.13 tff(30880,plain,
% 9.60/7.13 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB172) <=> (~((~v130(constB172)) | (~v139(constB172)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB172) <=> (~((~v130(constB172)) | (~v139(constB172))))))),
% 9.60/7.13 inference(rewrite,[status(thm)],[])).
% 9.60/7.13 tff(30881,plain,
% 9.60/7.13 ((v155(constB172) <=> (~((~v139(constB172)) | (~v130(constB172))))) <=> (v155(constB172) <=> (~((~v130(constB172)) | (~v139(constB172)))))),
% 9.60/7.13 inference(rewrite,[status(thm)],[])).
% 9.60/7.13 tff(30882,plain,
% 9.60/7.13 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB172) <=> (~((~v139(constB172)) | (~v130(constB172)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB172) <=> (~((~v130(constB172)) | (~v139(constB172))))))),
% 9.60/7.13 inference(monotonicity,[status(thm)],[30881])).
% 9.60/7.13 tff(30883,plain,
% 9.60/7.13 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB172) <=> (~((~v139(constB172)) | (~v130(constB172)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB172) <=> (~((~v130(constB172)) | (~v139(constB172))))))),
% 9.60/7.13 inference(transitivity,[status(thm)],[30882, 30880])).
% 9.60/7.13 tff(30884,plain,
% 9.60/7.13 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB172) <=> (~((~v139(constB172)) | (~v130(constB172)))))),
% 9.60/7.13 inference(quant_inst,[status(thm)],[])).
% 9.60/7.13 tff(30885,plain,
% 9.60/7.13 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB172) <=> (~((~v130(constB172)) | (~v139(constB172)))))),
% 9.60/7.13 inference(modus_ponens,[status(thm)],[30884, 30883])).
% 9.60/7.13 tff(30886,plain,
% 9.60/7.13 (v155(constB172) <=> (~((~v130(constB172)) | (~v139(constB172))))),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[30885, 447])).
% 9.60/7.13 tff(30887,plain,
% 9.60/7.13 ((~![VarNext: $i] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB172) <=> v152(constB172))),
% 9.60/7.13 inference(quant_inst,[status(thm)],[])).
% 9.60/7.13 tff(30888,plain,
% 9.60/7.13 (v130(constB172) <=> v152(constB172)),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[30887, 361])).
% 9.60/7.13 tff(30889,plain,
% 9.60/7.13 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB171, constB172)) | (v152(constB172) <=> v150(constB171)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB171, constB172)) | (v152(constB172) <=> v150(constB171)))),
% 9.60/7.13 inference(rewrite,[status(thm)],[])).
% 9.60/7.13 tff(30890,plain,
% 9.60/7.13 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB171, constB172)) | (v152(constB172) <=> v150(constB171)))),
% 9.60/7.13 inference(quant_inst,[status(thm)],[])).
% 9.60/7.13 tff(30891,plain,
% 9.60/7.13 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB171, constB172)) | (v152(constB172) <=> v150(constB171))),
% 9.60/7.13 inference(modus_ponens,[status(thm)],[30890, 30889])).
% 9.60/7.13 tff(30892,plain,
% 9.60/7.13 (v152(constB172) <=> v150(constB171)),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[30891, 1916, 373])).
% 9.60/7.13 tff(30893,plain,
% 9.60/7.13 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v153(VarCurr) | v155(VarCurr)))) | (v150(constB171) <=> (v153(constB171) | v155(constB171)))),
% 9.60/7.13 inference(quant_inst,[status(thm)],[])).
% 9.60/7.13 tff(30894,plain,
% 9.60/7.13 (v150(constB171) <=> (v153(constB171) | v155(constB171))),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[30893, 387])).
% 9.60/7.13 tff(30895,plain,
% 9.60/7.13 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB171) <=> (~((~v130(constB171)) | (~v139(constB171)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB171) <=> (~((~v130(constB171)) | (~v139(constB171))))))),
% 9.60/7.13 inference(rewrite,[status(thm)],[])).
% 9.60/7.13 tff(30896,plain,
% 9.60/7.13 ((v155(constB171) <=> (~((~v139(constB171)) | (~v130(constB171))))) <=> (v155(constB171) <=> (~((~v130(constB171)) | (~v139(constB171)))))),
% 9.60/7.13 inference(rewrite,[status(thm)],[])).
% 9.60/7.13 tff(30897,plain,
% 9.60/7.13 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB171) <=> (~((~v139(constB171)) | (~v130(constB171)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB171) <=> (~((~v130(constB171)) | (~v139(constB171))))))),
% 9.60/7.13 inference(monotonicity,[status(thm)],[30896])).
% 9.60/7.13 tff(30898,plain,
% 9.60/7.13 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB171) <=> (~((~v139(constB171)) | (~v130(constB171)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB171) <=> (~((~v130(constB171)) | (~v139(constB171))))))),
% 9.60/7.13 inference(transitivity,[status(thm)],[30897, 30895])).
% 9.60/7.13 tff(30899,plain,
% 9.60/7.13 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB171) <=> (~((~v139(constB171)) | (~v130(constB171)))))),
% 9.60/7.13 inference(quant_inst,[status(thm)],[])).
% 9.60/7.13 tff(30900,plain,
% 9.60/7.13 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB171) <=> (~((~v130(constB171)) | (~v139(constB171)))))),
% 9.60/7.13 inference(modus_ponens,[status(thm)],[30899, 30898])).
% 9.60/7.13 tff(30901,plain,
% 9.60/7.13 (v155(constB171) <=> (~((~v130(constB171)) | (~v139(constB171))))),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[30900, 447])).
% 9.60/7.13 tff(30902,plain,
% 9.60/7.13 ((~![VarCurr: $i] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB171)) <=> v140(constB171))),
% 9.60/7.13 inference(quant_inst,[status(thm)],[])).
% 9.60/7.13 tff(30903,plain,
% 9.60/7.13 ((~v139(constB171)) <=> v140(constB171)),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[30902, 203])).
% 9.60/7.13 tff(30904,plain,
% 9.60/7.13 ((~![VarCurr: $i] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB171) <=> (v141(constB171) | v26(constB171)))),
% 9.60/7.13 inference(quant_inst,[status(thm)],[])).
% 9.60/7.13 tff(30905,plain,
% 9.60/7.13 (v140(constB171) <=> (v141(constB171) | v26(constB171))),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[30904, 212])).
% 9.60/7.13 tff(30906,plain,
% 9.60/7.13 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB171) <=> (~((~v39(constB171)) | (~v9(constB171)))))),
% 9.60/7.13 inference(quant_inst,[status(thm)],[])).
% 9.60/7.13 tff(30907,plain,
% 9.60/7.13 (v141(constB171) <=> (~((~v39(constB171)) | (~v9(constB171))))),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[30906, 130])).
% 9.60/7.13 tff(30908,plain,
% 9.60/7.13 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB171, constB172)) | (v13(constB172) <=> v9(constB171)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB171, constB172)) | (v13(constB172) <=> v9(constB171)))),
% 9.60/7.13 inference(rewrite,[status(thm)],[])).
% 9.60/7.13 tff(30909,plain,
% 9.60/7.13 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB171, constB172)) | (v13(constB172) <=> v9(constB171)))),
% 9.60/7.13 inference(quant_inst,[status(thm)],[])).
% 9.60/7.13 tff(30910,plain,
% 9.60/7.13 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB171, constB172)) | (v13(constB172) <=> v9(constB171))),
% 9.60/7.13 inference(modus_ponens,[status(thm)],[30909, 30908])).
% 9.60/7.13 tff(30911,plain,
% 9.60/7.13 (v13(constB172) <=> v9(constB171)),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[30910, 1916, 226])).
% 9.60/7.13 tff(30912,plain,
% 9.60/7.13 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB172) <=> v13(constB172))),
% 9.60/7.13 inference(quant_inst,[status(thm)],[])).
% 9.60/7.13 tff(30913,plain,
% 9.60/7.13 (v6(constB172) <=> v13(constB172)),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[30912, 240])).
% 9.60/7.13 tff(30914,plain,
% 9.60/7.13 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB172)) <=> v6(constB172))),
% 9.60/7.13 inference(quant_inst,[status(thm)],[])).
% 9.60/7.13 tff(30915,plain,
% 9.60/7.13 ((~v21(constB172)) <=> v6(constB172)),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[30914, 249])).
% 9.60/7.13 tff(30916,plain,
% 9.60/7.13 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB172) <=> (v20(constB172) | v21(constB172)))),
% 9.60/7.13 inference(quant_inst,[status(thm)],[])).
% 9.60/7.13 tff(30917,plain,
% 9.60/7.13 (v19(constB172) <=> (v20(constB172) | v21(constB172))),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[30916, 258])).
% 9.60/7.13 tff(30918,plain,
% 9.60/7.13 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB172) <=> (~((~v19(constB172)) | (~v22(constB172)))))),
% 9.60/7.13 inference(quant_inst,[status(thm)],[])).
% 9.60/7.13 tff(30919,plain,
% 9.60/7.13 (v18(constB172) <=> (~((~v19(constB172)) | (~v22(constB172))))),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[30918, 270])).
% 9.60/7.13 tff(30920,plain,
% 9.60/7.13 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB172)) <=> v18(constB172))),
% 9.60/7.13 inference(quant_inst,[status(thm)],[])).
% 9.60/7.13 tff(30921,plain,
% 9.60/7.13 ((~v4(constB172)) <=> v18(constB172)),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[30920, 279])).
% 9.60/7.13 tff(30922,plain,
% 9.60/7.13 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB172)),
% 9.60/7.13 inference(quant_inst,[status(thm)],[])).
% 9.60/7.13 tff(30923,plain,
% 9.60/7.13 (v4(constB172)),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[30922, 288])).
% 9.60/7.13 tff(30924,plain,
% 9.60/7.13 ((~((~v4(constB172)) <=> v18(constB172))) | (~v4(constB172)) | (~v18(constB172))),
% 9.60/7.13 inference(tautology,[status(thm)],[])).
% 9.60/7.13 tff(30925,plain,
% 9.60/7.13 (~v18(constB172)),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[30924, 30923, 30921])).
% 9.60/7.13 tff(30926,plain,
% 9.60/7.13 ((~(v18(constB172) <=> (~((~v19(constB172)) | (~v22(constB172)))))) | v18(constB172) | ((~v19(constB172)) | (~v22(constB172)))),
% 9.60/7.13 inference(tautology,[status(thm)],[])).
% 9.60/7.13 tff(30927,plain,
% 9.60/7.13 ((~v19(constB172)) | (~v22(constB172))),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[30926, 30925, 30919])).
% 9.60/7.13 tff(30928,plain,
% 9.60/7.13 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB172) <=> (v1(constB172) | v6(constB172)))),
% 9.60/7.13 inference(quant_inst,[status(thm)],[])).
% 9.60/7.13 tff(30929,plain,
% 9.60/7.13 (v22(constB172) <=> (v1(constB172) | v6(constB172))),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[30928, 301])).
% 9.60/7.13 tff(30930,plain,
% 9.60/7.13 ((v1(constB172) | v6(constB172)) | (~v1(constB172))),
% 9.60/7.13 inference(tautology,[status(thm)],[])).
% 9.60/7.13 tff(30931,plain,
% 9.60/7.13 (v1(constB172) | v6(constB172)),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[30930, 1946])).
% 9.60/7.13 tff(30932,plain,
% 9.60/7.13 ((~(v22(constB172) <=> (v1(constB172) | v6(constB172)))) | v22(constB172) | (~(v1(constB172) | v6(constB172)))),
% 9.60/7.13 inference(tautology,[status(thm)],[])).
% 9.60/7.13 tff(30933,plain,
% 9.60/7.13 ((~(v22(constB172) <=> (v1(constB172) | v6(constB172)))) | v22(constB172)),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[30932, 30931])).
% 9.60/7.13 tff(30934,plain,
% 9.60/7.13 (v22(constB172)),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[30933, 30929])).
% 9.60/7.13 tff(30935,plain,
% 9.60/7.13 ((~((~v19(constB172)) | (~v22(constB172)))) | (~v19(constB172)) | (~v22(constB172))),
% 9.60/7.13 inference(tautology,[status(thm)],[])).
% 9.60/7.13 tff(30936,plain,
% 9.60/7.13 ((~((~v19(constB172)) | (~v22(constB172)))) | (~v19(constB172))),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[30935, 30934])).
% 9.60/7.13 tff(30937,plain,
% 9.60/7.13 (~v19(constB172)),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[30936, 30927])).
% 9.60/7.13 tff(30938,plain,
% 9.60/7.13 ((~(v19(constB172) <=> (v20(constB172) | v21(constB172)))) | v19(constB172) | (~(v20(constB172) | v21(constB172)))),
% 9.60/7.13 inference(tautology,[status(thm)],[])).
% 9.60/7.13 tff(30939,plain,
% 9.60/7.13 (~(v20(constB172) | v21(constB172))),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[30938, 30937, 30917])).
% 9.60/7.13 tff(30940,plain,
% 9.60/7.13 ((v20(constB172) | v21(constB172)) | (~v21(constB172))),
% 9.60/7.13 inference(tautology,[status(thm)],[])).
% 9.60/7.13 tff(30941,plain,
% 9.60/7.13 (~v21(constB172)),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[30940, 30939])).
% 9.60/7.13 tff(30942,plain,
% 9.60/7.13 ((~((~v21(constB172)) <=> v6(constB172))) | v21(constB172) | v6(constB172)),
% 9.60/7.13 inference(tautology,[status(thm)],[])).
% 9.60/7.13 tff(30943,plain,
% 9.60/7.13 (v6(constB172)),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[30942, 30941, 30915])).
% 9.60/7.13 tff(30944,plain,
% 9.60/7.13 ((~(v6(constB172) <=> v13(constB172))) | (~v6(constB172)) | v13(constB172)),
% 9.60/7.13 inference(tautology,[status(thm)],[])).
% 9.60/7.13 tff(30945,plain,
% 9.60/7.13 (v13(constB172)),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[30944, 30943, 30913])).
% 9.60/7.13 tff(30946,plain,
% 9.60/7.13 ((~(v13(constB172) <=> v9(constB171))) | (~v13(constB172)) | v9(constB171)),
% 9.60/7.13 inference(tautology,[status(thm)],[])).
% 9.60/7.13 tff(30947,plain,
% 9.60/7.13 (v9(constB171)),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[30946, 30945, 30911])).
% 9.60/7.13 tff(30948,plain,
% 9.60/7.13 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB171)) <=> v1(constB171))),
% 9.60/7.13 inference(quant_inst,[status(thm)],[])).
% 9.60/7.13 tff(30949,plain,
% 9.60/7.13 ((~v39(constB171)) <=> v1(constB171)),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[30948, 139])).
% 9.60/7.13 tff(30950,plain,
% 9.60/7.13 ((~((~v39(constB171)) <=> v1(constB171))) | v39(constB171) | v1(constB171)),
% 9.60/7.13 inference(tautology,[status(thm)],[])).
% 9.60/7.13 tff(30951,plain,
% 9.60/7.13 ((~((~v39(constB171)) <=> v1(constB171))) | v39(constB171)),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[30950, 1938])).
% 9.60/7.13 tff(30952,plain,
% 9.60/7.13 (v39(constB171)),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[30951, 30949])).
% 9.60/7.13 tff(30953,plain,
% 9.60/7.13 ((~((~v39(constB171)) | (~v9(constB171)))) | (~v39(constB171)) | (~v9(constB171))),
% 9.60/7.13 inference(tautology,[status(thm)],[])).
% 9.60/7.13 tff(30954,plain,
% 9.60/7.13 ((~((~v39(constB171)) | (~v9(constB171)))) | (~v9(constB171))),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[30953, 30952])).
% 9.60/7.13 tff(30955,plain,
% 9.60/7.13 (~((~v39(constB171)) | (~v9(constB171)))),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[30954, 30947])).
% 9.60/7.13 tff(30956,plain,
% 9.60/7.13 ((~(v141(constB171) <=> (~((~v39(constB171)) | (~v9(constB171)))))) | v141(constB171) | ((~v39(constB171)) | (~v9(constB171)))),
% 9.60/7.13 inference(tautology,[status(thm)],[])).
% 9.60/7.13 tff(30957,plain,
% 9.60/7.13 (v141(constB171)),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[30956, 30955, 30907])).
% 9.60/7.13 tff(30958,plain,
% 9.60/7.13 ((v141(constB171) | v26(constB171)) | (~v141(constB171))),
% 9.60/7.13 inference(tautology,[status(thm)],[])).
% 9.60/7.13 tff(30959,plain,
% 9.60/7.13 (v141(constB171) | v26(constB171)),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[30958, 30957])).
% 9.60/7.13 tff(30960,plain,
% 9.60/7.13 ((~(v140(constB171) <=> (v141(constB171) | v26(constB171)))) | v140(constB171) | (~(v141(constB171) | v26(constB171)))),
% 9.60/7.13 inference(tautology,[status(thm)],[])).
% 9.60/7.13 tff(30961,plain,
% 9.60/7.13 (v140(constB171)),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[30960, 30959, 30905])).
% 9.60/7.13 tff(30962,plain,
% 9.60/7.13 ((~((~v139(constB171)) <=> v140(constB171))) | (~v139(constB171)) | (~v140(constB171))),
% 9.60/7.13 inference(tautology,[status(thm)],[])).
% 9.60/7.13 tff(30963,plain,
% 9.60/7.13 (~v139(constB171)),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[30962, 30961, 30903])).
% 9.60/7.13 tff(30964,plain,
% 9.60/7.13 (((~v130(constB171)) | (~v139(constB171))) | v139(constB171)),
% 9.60/7.13 inference(tautology,[status(thm)],[])).
% 9.60/7.13 tff(30965,plain,
% 9.60/7.13 ((~v130(constB171)) | (~v139(constB171))),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[30964, 30963])).
% 9.60/7.13 tff(30966,plain,
% 9.60/7.13 ((~(v155(constB171) <=> (~((~v130(constB171)) | (~v139(constB171)))))) | (~v155(constB171)) | (~((~v130(constB171)) | (~v139(constB171))))),
% 9.60/7.13 inference(tautology,[status(thm)],[])).
% 9.60/7.13 tff(30967,plain,
% 9.60/7.13 (~v155(constB171)),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[30966, 30965, 30901])).
% 9.60/7.13 tff(30968,plain,
% 9.60/7.13 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB171) <=> (~((~v132(constB171)) | (~v154(constB171)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB171) <=> (~((~v132(constB171)) | (~v154(constB171))))))),
% 9.60/7.13 inference(rewrite,[status(thm)],[])).
% 9.60/7.13 tff(30969,plain,
% 9.60/7.13 ((v153(constB171) <=> (~((~v154(constB171)) | (~v132(constB171))))) <=> (v153(constB171) <=> (~((~v132(constB171)) | (~v154(constB171)))))),
% 9.60/7.13 inference(rewrite,[status(thm)],[])).
% 9.60/7.13 tff(30970,plain,
% 9.60/7.13 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB171) <=> (~((~v154(constB171)) | (~v132(constB171)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB171) <=> (~((~v132(constB171)) | (~v154(constB171))))))),
% 9.60/7.13 inference(monotonicity,[status(thm)],[30969])).
% 9.60/7.13 tff(30971,plain,
% 9.60/7.13 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB171) <=> (~((~v154(constB171)) | (~v132(constB171)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB171) <=> (~((~v132(constB171)) | (~v154(constB171))))))),
% 9.60/7.13 inference(transitivity,[status(thm)],[30970, 30968])).
% 9.60/7.13 tff(30972,plain,
% 9.60/7.13 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB171) <=> (~((~v154(constB171)) | (~v132(constB171)))))),
% 9.60/7.13 inference(quant_inst,[status(thm)],[])).
% 9.60/7.13 tff(30973,plain,
% 9.60/7.13 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB171) <=> (~((~v132(constB171)) | (~v154(constB171)))))),
% 9.60/7.13 inference(modus_ponens,[status(thm)],[30972, 30971])).
% 9.60/7.13 tff(30974,plain,
% 9.60/7.13 (v153(constB171) <=> (~((~v132(constB171)) | (~v154(constB171))))),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[30973, 399])).
% 9.60/7.13 tff(30975,plain,
% 9.60/7.13 ((~![VarNext: $i] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB171) <=> v137(constB171))),
% 9.60/7.13 inference(quant_inst,[status(thm)],[])).
% 9.60/7.13 tff(30976,plain,
% 9.60/7.13 (v132(constB171) <=> v137(constB171)),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[30975, 558])).
% 9.60/7.13 tff(30977,plain,
% 9.60/7.13 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB170, constB171)) | (v137(constB171) <=> v135(constB170)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB170, constB171)) | (v137(constB171) <=> v135(constB170)))),
% 9.60/7.13 inference(rewrite,[status(thm)],[])).
% 9.60/7.13 tff(30978,plain,
% 9.60/7.13 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB170, constB171)) | (v137(constB171) <=> v135(constB170)))),
% 9.60/7.13 inference(quant_inst,[status(thm)],[])).
% 9.60/7.13 tff(30979,plain,
% 9.60/7.13 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB170, constB171)) | (v137(constB171) <=> v135(constB170))),
% 9.60/7.13 inference(modus_ponens,[status(thm)],[30978, 30977])).
% 9.60/7.13 tff(30980,plain,
% 9.60/7.13 (v137(constB171) <=> v135(constB170)),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[30979, 1981, 570])).
% 9.60/7.13 tff(30981,plain,
% 9.60/7.13 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB170) <=> (v138(constB170) | v142(constB170)))),
% 9.60/7.13 inference(quant_inst,[status(thm)],[])).
% 9.60/7.13 tff(30982,plain,
% 9.60/7.13 (v135(constB170) <=> (v138(constB170) | v142(constB170))),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[30981, 584])).
% 9.60/7.13 tff(30983,plain,
% 9.60/7.13 ((~![VarCurr: $i] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB170) <=> (~((~v143(constB170)) | (~v144(constB170)))))),
% 9.60/7.13 inference(quant_inst,[status(thm)],[])).
% 9.60/7.13 tff(30984,plain,
% 9.60/7.13 (v142(constB170) <=> (~((~v143(constB170)) | (~v144(constB170))))),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[30983, 596])).
% 9.60/7.13 tff(30985,plain,
% 9.60/7.13 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB170) <=> (~((~v141(constB170)) | (~v145(constB170)))))),
% 9.60/7.13 inference(quant_inst,[status(thm)],[])).
% 9.60/7.13 tff(30986,plain,
% 9.60/7.13 (v144(constB170) <=> (~((~v141(constB170)) | (~v145(constB170))))),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[30985, 608])).
% 9.60/7.13 tff(30987,plain,
% 9.60/7.13 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB170) <=> (~((~v39(constB170)) | (~v9(constB170)))))),
% 9.60/7.13 inference(quant_inst,[status(thm)],[])).
% 9.60/7.13 tff(30988,plain,
% 9.60/7.13 (v141(constB170) <=> (~((~v39(constB170)) | (~v9(constB170))))),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[30987, 130])).
% 9.60/7.13 tff(30989,plain,
% 9.60/7.13 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB170)) <=> v1(constB170))),
% 9.60/7.13 inference(quant_inst,[status(thm)],[])).
% 9.60/7.13 tff(30990,plain,
% 9.60/7.13 ((~v39(constB170)) <=> v1(constB170)),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[30989, 139])).
% 9.60/7.13 tff(30991,plain,
% 9.60/7.13 ((~((~v39(constB170)) <=> v1(constB170))) | (~v39(constB170)) | (~v1(constB170))),
% 9.60/7.13 inference(tautology,[status(thm)],[])).
% 9.60/7.13 tff(30992,plain,
% 9.60/7.13 ((~((~v39(constB170)) <=> v1(constB170))) | (~v39(constB170))),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[30991, 2043])).
% 9.60/7.13 tff(30993,plain,
% 9.60/7.13 (~v39(constB170)),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[30992, 30990])).
% 9.60/7.13 tff(30994,plain,
% 9.60/7.13 (((~v39(constB170)) | (~v9(constB170))) | v39(constB170)),
% 9.60/7.13 inference(tautology,[status(thm)],[])).
% 9.60/7.13 tff(30995,plain,
% 9.60/7.13 ((~v39(constB170)) | (~v9(constB170))),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[30994, 30993])).
% 9.60/7.13 tff(30996,plain,
% 9.60/7.13 ((~(v141(constB170) <=> (~((~v39(constB170)) | (~v9(constB170)))))) | (~v141(constB170)) | (~((~v39(constB170)) | (~v9(constB170))))),
% 9.60/7.13 inference(tautology,[status(thm)],[])).
% 9.60/7.13 tff(30997,plain,
% 9.60/7.13 ((~(v141(constB170) <=> (~((~v39(constB170)) | (~v9(constB170)))))) | (~v141(constB170))),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[30996, 30995])).
% 9.60/7.13 tff(30998,plain,
% 9.60/7.13 (~v141(constB170)),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[30997, 30988])).
% 9.60/7.13 tff(30999,plain,
% 9.60/7.13 (((~v141(constB170)) | (~v145(constB170))) | v141(constB170)),
% 9.60/7.13 inference(tautology,[status(thm)],[])).
% 9.60/7.13 tff(31000,plain,
% 9.60/7.13 ((~v141(constB170)) | (~v145(constB170))),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[30999, 30998])).
% 9.60/7.13 tff(31001,plain,
% 9.60/7.13 ((~(v144(constB170) <=> (~((~v141(constB170)) | (~v145(constB170)))))) | (~v144(constB170)) | (~((~v141(constB170)) | (~v145(constB170))))),
% 9.60/7.13 inference(tautology,[status(thm)],[])).
% 9.60/7.13 tff(31002,plain,
% 9.60/7.13 ((~(v144(constB170) <=> (~((~v141(constB170)) | (~v145(constB170)))))) | (~v144(constB170))),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[31001, 31000])).
% 9.60/7.13 tff(31003,plain,
% 9.60/7.13 (~v144(constB170)),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[31002, 30986])).
% 9.60/7.13 tff(31004,plain,
% 9.60/7.13 (((~v143(constB170)) | (~v144(constB170))) | v144(constB170)),
% 9.60/7.13 inference(tautology,[status(thm)],[])).
% 9.60/7.13 tff(31005,plain,
% 9.60/7.13 ((~v143(constB170)) | (~v144(constB170))),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[31004, 31003])).
% 9.60/7.13 tff(31006,plain,
% 9.60/7.13 ((~(v142(constB170) <=> (~((~v143(constB170)) | (~v144(constB170)))))) | (~v142(constB170)) | (~((~v143(constB170)) | (~v144(constB170))))),
% 9.60/7.13 inference(tautology,[status(thm)],[])).
% 9.60/7.13 tff(31007,plain,
% 9.60/7.13 (~v142(constB170)),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[31006, 31005, 30984])).
% 9.60/7.13 tff(31008,plain,
% 9.60/7.13 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB170) <=> (~((~v132(constB170)) | (~v139(constB170)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB170) <=> (~((~v132(constB170)) | (~v139(constB170))))))),
% 9.60/7.13 inference(rewrite,[status(thm)],[])).
% 9.60/7.13 tff(31009,plain,
% 9.60/7.13 ((v138(constB170) <=> (~((~v139(constB170)) | (~v132(constB170))))) <=> (v138(constB170) <=> (~((~v132(constB170)) | (~v139(constB170)))))),
% 9.60/7.13 inference(rewrite,[status(thm)],[])).
% 9.60/7.13 tff(31010,plain,
% 9.60/7.13 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB170) <=> (~((~v139(constB170)) | (~v132(constB170)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB170) <=> (~((~v132(constB170)) | (~v139(constB170))))))),
% 9.60/7.13 inference(monotonicity,[status(thm)],[31009])).
% 9.60/7.13 tff(31011,plain,
% 9.60/7.13 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB170) <=> (~((~v139(constB170)) | (~v132(constB170)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB170) <=> (~((~v132(constB170)) | (~v139(constB170))))))),
% 9.60/7.13 inference(transitivity,[status(thm)],[31010, 31008])).
% 9.60/7.13 tff(31012,plain,
% 9.60/7.13 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB170) <=> (~((~v139(constB170)) | (~v132(constB170)))))),
% 9.60/7.13 inference(quant_inst,[status(thm)],[])).
% 9.60/7.13 tff(31013,plain,
% 9.60/7.13 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB170) <=> (~((~v132(constB170)) | (~v139(constB170)))))),
% 9.60/7.13 inference(modus_ponens,[status(thm)],[31012, 31011])).
% 9.60/7.13 tff(31014,plain,
% 9.60/7.13 (v138(constB170) <=> (~((~v132(constB170)) | (~v139(constB170))))),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[31013, 644])).
% 9.60/7.13 tff(31015,plain,
% 9.60/7.13 ((~![VarNext: $i] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB170) <=> v137(constB170))),
% 9.60/7.13 inference(quant_inst,[status(thm)],[])).
% 9.60/7.13 tff(31016,plain,
% 9.60/7.13 (v132(constB170) <=> v137(constB170)),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[31015, 558])).
% 9.60/7.13 tff(31017,plain,
% 9.60/7.13 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB169, constB170)) | (v137(constB170) <=> v135(constB169)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB169, constB170)) | (v137(constB170) <=> v135(constB169)))),
% 9.60/7.13 inference(rewrite,[status(thm)],[])).
% 9.60/7.13 tff(31018,plain,
% 9.60/7.13 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB169, constB170)) | (v137(constB170) <=> v135(constB169)))),
% 9.60/7.13 inference(quant_inst,[status(thm)],[])).
% 9.60/7.13 tff(31019,plain,
% 9.60/7.13 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB169, constB170)) | (v137(constB170) <=> v135(constB169))),
% 9.60/7.13 inference(modus_ponens,[status(thm)],[31018, 31017])).
% 9.60/7.13 tff(31020,plain,
% 9.60/7.13 (v137(constB170) <=> v135(constB169)),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[31019, 2013, 570])).
% 9.60/7.13 tff(31021,plain,
% 9.60/7.13 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB169) <=> (v138(constB169) | v142(constB169)))),
% 9.60/7.13 inference(quant_inst,[status(thm)],[])).
% 9.60/7.13 tff(31022,plain,
% 9.60/7.13 (v135(constB169) <=> (v138(constB169) | v142(constB169))),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[31021, 584])).
% 9.60/7.13 tff(31023,plain,
% 9.60/7.13 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB169) <=> (~((~v132(constB169)) | (~v139(constB169)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB169) <=> (~((~v132(constB169)) | (~v139(constB169))))))),
% 9.60/7.13 inference(rewrite,[status(thm)],[])).
% 9.60/7.13 tff(31024,plain,
% 9.60/7.13 ((v138(constB169) <=> (~((~v139(constB169)) | (~v132(constB169))))) <=> (v138(constB169) <=> (~((~v132(constB169)) | (~v139(constB169)))))),
% 9.60/7.13 inference(rewrite,[status(thm)],[])).
% 9.60/7.13 tff(31025,plain,
% 9.60/7.13 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB169) <=> (~((~v139(constB169)) | (~v132(constB169)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB169) <=> (~((~v132(constB169)) | (~v139(constB169))))))),
% 9.60/7.13 inference(monotonicity,[status(thm)],[31024])).
% 9.60/7.13 tff(31026,plain,
% 9.60/7.13 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB169) <=> (~((~v139(constB169)) | (~v132(constB169)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB169) <=> (~((~v132(constB169)) | (~v139(constB169))))))),
% 9.60/7.13 inference(transitivity,[status(thm)],[31025, 31023])).
% 9.60/7.13 tff(31027,plain,
% 9.60/7.13 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB169) <=> (~((~v139(constB169)) | (~v132(constB169)))))),
% 9.60/7.13 inference(quant_inst,[status(thm)],[])).
% 9.60/7.13 tff(31028,plain,
% 9.60/7.13 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB169) <=> (~((~v132(constB169)) | (~v139(constB169)))))),
% 9.60/7.13 inference(modus_ponens,[status(thm)],[31027, 31026])).
% 9.60/7.13 tff(31029,plain,
% 9.60/7.13 (v138(constB169) <=> (~((~v132(constB169)) | (~v139(constB169))))),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[31028, 644])).
% 9.60/7.13 tff(31030,plain,
% 9.60/7.13 ((~![VarCurr: $i] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB169)) <=> v140(constB169))),
% 9.60/7.13 inference(quant_inst,[status(thm)],[])).
% 9.60/7.13 tff(31031,plain,
% 9.60/7.13 ((~v139(constB169)) <=> v140(constB169)),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[31030, 203])).
% 9.60/7.13 tff(31032,plain,
% 9.60/7.13 ((~![VarCurr: $i] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB169) <=> (v141(constB169) | v26(constB169)))),
% 9.60/7.13 inference(quant_inst,[status(thm)],[])).
% 9.60/7.13 tff(31033,plain,
% 9.60/7.13 (v140(constB169) <=> (v141(constB169) | v26(constB169))),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[31032, 212])).
% 9.60/7.13 tff(31034,plain,
% 9.60/7.13 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB169) <=> (~((~v39(constB169)) | (~v9(constB169)))))),
% 9.60/7.13 inference(quant_inst,[status(thm)],[])).
% 9.60/7.13 tff(31035,plain,
% 9.60/7.13 (v141(constB169) <=> (~((~v39(constB169)) | (~v9(constB169))))),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[31034, 130])).
% 9.60/7.13 tff(31036,plain,
% 9.60/7.13 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB169, constB170)) | (v13(constB170) <=> v9(constB169)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB169, constB170)) | (v13(constB170) <=> v9(constB169)))),
% 9.60/7.13 inference(rewrite,[status(thm)],[])).
% 9.60/7.13 tff(31037,plain,
% 9.60/7.13 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB169, constB170)) | (v13(constB170) <=> v9(constB169)))),
% 9.60/7.13 inference(quant_inst,[status(thm)],[])).
% 9.60/7.13 tff(31038,plain,
% 9.60/7.13 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB169, constB170)) | (v13(constB170) <=> v9(constB169))),
% 9.60/7.13 inference(modus_ponens,[status(thm)],[31037, 31036])).
% 9.60/7.13 tff(31039,plain,
% 9.60/7.13 (v13(constB170) <=> v9(constB169)),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[31038, 2013, 226])).
% 9.60/7.13 tff(31040,plain,
% 9.60/7.13 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB170) <=> v13(constB170))),
% 9.60/7.13 inference(quant_inst,[status(thm)],[])).
% 9.60/7.13 tff(31041,plain,
% 9.60/7.13 (v6(constB170) <=> v13(constB170)),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[31040, 240])).
% 9.60/7.13 tff(31042,plain,
% 9.60/7.13 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB170)) <=> v6(constB170))),
% 9.60/7.13 inference(quant_inst,[status(thm)],[])).
% 9.60/7.13 tff(31043,plain,
% 9.60/7.13 ((~v21(constB170)) <=> v6(constB170)),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[31042, 249])).
% 9.60/7.13 tff(31044,plain,
% 9.60/7.13 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB170) <=> (v20(constB170) | v21(constB170)))),
% 9.60/7.13 inference(quant_inst,[status(thm)],[])).
% 9.60/7.13 tff(31045,plain,
% 9.60/7.13 (v19(constB170) <=> (v20(constB170) | v21(constB170))),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[31044, 258])).
% 9.60/7.13 tff(31046,plain,
% 9.60/7.13 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB170) <=> (~((~v19(constB170)) | (~v22(constB170)))))),
% 9.60/7.13 inference(quant_inst,[status(thm)],[])).
% 9.60/7.13 tff(31047,plain,
% 9.60/7.13 (v18(constB170) <=> (~((~v19(constB170)) | (~v22(constB170))))),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[31046, 270])).
% 9.60/7.13 tff(31048,plain,
% 9.60/7.13 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB170)) <=> v18(constB170))),
% 9.60/7.13 inference(quant_inst,[status(thm)],[])).
% 9.60/7.13 tff(31049,plain,
% 9.60/7.13 ((~v4(constB170)) <=> v18(constB170)),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[31048, 279])).
% 9.60/7.13 tff(31050,plain,
% 9.60/7.13 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB170)),
% 9.60/7.13 inference(quant_inst,[status(thm)],[])).
% 9.60/7.13 tff(31051,plain,
% 9.60/7.13 (v4(constB170)),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[31050, 288])).
% 9.60/7.13 tff(31052,plain,
% 9.60/7.13 ((~((~v4(constB170)) <=> v18(constB170))) | (~v4(constB170)) | (~v18(constB170))),
% 9.60/7.13 inference(tautology,[status(thm)],[])).
% 9.60/7.13 tff(31053,plain,
% 9.60/7.13 (~v18(constB170)),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[31052, 31051, 31049])).
% 9.60/7.13 tff(31054,plain,
% 9.60/7.13 ((~(v18(constB170) <=> (~((~v19(constB170)) | (~v22(constB170)))))) | v18(constB170) | ((~v19(constB170)) | (~v22(constB170)))),
% 9.60/7.13 inference(tautology,[status(thm)],[])).
% 9.60/7.13 tff(31055,plain,
% 9.60/7.13 ((~v19(constB170)) | (~v22(constB170))),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[31054, 31053, 31047])).
% 9.60/7.13 tff(31056,plain,
% 9.60/7.13 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB170) <=> (v1(constB170) | v6(constB170)))),
% 9.60/7.13 inference(quant_inst,[status(thm)],[])).
% 9.60/7.13 tff(31057,plain,
% 9.60/7.13 (v22(constB170) <=> (v1(constB170) | v6(constB170))),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[31056, 301])).
% 9.60/7.13 tff(31058,plain,
% 9.60/7.13 ((v1(constB170) | v6(constB170)) | (~v1(constB170))),
% 9.60/7.13 inference(tautology,[status(thm)],[])).
% 9.60/7.13 tff(31059,plain,
% 9.60/7.13 (v1(constB170) | v6(constB170)),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[31058, 2043])).
% 9.60/7.13 tff(31060,plain,
% 9.60/7.13 ((~(v22(constB170) <=> (v1(constB170) | v6(constB170)))) | v22(constB170) | (~(v1(constB170) | v6(constB170)))),
% 9.60/7.13 inference(tautology,[status(thm)],[])).
% 9.60/7.13 tff(31061,plain,
% 9.60/7.13 ((~(v22(constB170) <=> (v1(constB170) | v6(constB170)))) | v22(constB170)),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[31060, 31059])).
% 9.60/7.13 tff(31062,plain,
% 9.60/7.13 (v22(constB170)),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[31061, 31057])).
% 9.60/7.13 tff(31063,plain,
% 9.60/7.13 ((~((~v19(constB170)) | (~v22(constB170)))) | (~v19(constB170)) | (~v22(constB170))),
% 9.60/7.13 inference(tautology,[status(thm)],[])).
% 9.60/7.13 tff(31064,plain,
% 9.60/7.13 ((~((~v19(constB170)) | (~v22(constB170)))) | (~v19(constB170))),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[31063, 31062])).
% 9.60/7.13 tff(31065,plain,
% 9.60/7.13 (~v19(constB170)),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[31064, 31055])).
% 9.60/7.13 tff(31066,plain,
% 9.60/7.13 ((~(v19(constB170) <=> (v20(constB170) | v21(constB170)))) | v19(constB170) | (~(v20(constB170) | v21(constB170)))),
% 9.60/7.13 inference(tautology,[status(thm)],[])).
% 9.60/7.13 tff(31067,plain,
% 9.60/7.13 (~(v20(constB170) | v21(constB170))),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[31066, 31065, 31045])).
% 9.60/7.13 tff(31068,plain,
% 9.60/7.13 ((v20(constB170) | v21(constB170)) | (~v21(constB170))),
% 9.60/7.13 inference(tautology,[status(thm)],[])).
% 9.60/7.13 tff(31069,plain,
% 9.60/7.13 (~v21(constB170)),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[31068, 31067])).
% 9.60/7.13 tff(31070,plain,
% 9.60/7.13 ((~((~v21(constB170)) <=> v6(constB170))) | v21(constB170) | v6(constB170)),
% 9.60/7.13 inference(tautology,[status(thm)],[])).
% 9.60/7.13 tff(31071,plain,
% 9.60/7.13 (v6(constB170)),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[31070, 31069, 31043])).
% 9.60/7.13 tff(31072,plain,
% 9.60/7.13 ((~(v6(constB170) <=> v13(constB170))) | (~v6(constB170)) | v13(constB170)),
% 9.60/7.13 inference(tautology,[status(thm)],[])).
% 9.60/7.13 tff(31073,plain,
% 9.60/7.13 (v13(constB170)),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[31072, 31071, 31041])).
% 9.60/7.13 tff(31074,plain,
% 9.60/7.13 ((~(v13(constB170) <=> v9(constB169))) | (~v13(constB170)) | v9(constB169)),
% 9.60/7.13 inference(tautology,[status(thm)],[])).
% 9.60/7.13 tff(31075,plain,
% 9.60/7.13 (v9(constB169)),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[31074, 31073, 31039])).
% 9.60/7.13 tff(31076,plain,
% 9.60/7.13 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB169)) <=> v1(constB169))),
% 9.60/7.13 inference(quant_inst,[status(thm)],[])).
% 9.60/7.13 tff(31077,plain,
% 9.60/7.13 ((~v39(constB169)) <=> v1(constB169)),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[31076, 139])).
% 9.60/7.13 tff(31078,plain,
% 9.60/7.13 ((~((~v39(constB169)) <=> v1(constB169))) | v39(constB169) | v1(constB169)),
% 9.60/7.13 inference(tautology,[status(thm)],[])).
% 9.60/7.13 tff(31079,plain,
% 9.60/7.13 ((~((~v39(constB169)) <=> v1(constB169))) | v39(constB169)),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[31078, 2035])).
% 9.60/7.13 tff(31080,plain,
% 9.60/7.13 (v39(constB169)),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[31079, 31077])).
% 9.60/7.13 tff(31081,plain,
% 9.60/7.13 ((~((~v39(constB169)) | (~v9(constB169)))) | (~v39(constB169)) | (~v9(constB169))),
% 9.60/7.13 inference(tautology,[status(thm)],[])).
% 9.60/7.13 tff(31082,plain,
% 9.60/7.13 ((~((~v39(constB169)) | (~v9(constB169)))) | (~v9(constB169))),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[31081, 31080])).
% 9.60/7.13 tff(31083,plain,
% 9.60/7.13 (~((~v39(constB169)) | (~v9(constB169)))),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[31082, 31075])).
% 9.60/7.13 tff(31084,plain,
% 9.60/7.13 ((~(v141(constB169) <=> (~((~v39(constB169)) | (~v9(constB169)))))) | v141(constB169) | ((~v39(constB169)) | (~v9(constB169)))),
% 9.60/7.13 inference(tautology,[status(thm)],[])).
% 9.60/7.13 tff(31085,plain,
% 9.60/7.13 (v141(constB169)),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[31084, 31083, 31035])).
% 9.60/7.13 tff(31086,plain,
% 9.60/7.13 ((v141(constB169) | v26(constB169)) | (~v141(constB169))),
% 9.60/7.13 inference(tautology,[status(thm)],[])).
% 9.60/7.13 tff(31087,plain,
% 9.60/7.13 (v141(constB169) | v26(constB169)),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[31086, 31085])).
% 9.60/7.13 tff(31088,plain,
% 9.60/7.13 ((~(v140(constB169) <=> (v141(constB169) | v26(constB169)))) | v140(constB169) | (~(v141(constB169) | v26(constB169)))),
% 9.60/7.13 inference(tautology,[status(thm)],[])).
% 9.60/7.13 tff(31089,plain,
% 9.60/7.13 (v140(constB169)),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[31088, 31087, 31033])).
% 9.60/7.13 tff(31090,plain,
% 9.60/7.13 ((~((~v139(constB169)) <=> v140(constB169))) | (~v139(constB169)) | (~v140(constB169))),
% 9.60/7.13 inference(tautology,[status(thm)],[])).
% 9.60/7.13 tff(31091,plain,
% 9.60/7.13 (~v139(constB169)),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[31090, 31089, 31031])).
% 9.60/7.13 tff(31092,plain,
% 9.60/7.13 (((~v132(constB169)) | (~v139(constB169))) | v139(constB169)),
% 9.60/7.13 inference(tautology,[status(thm)],[])).
% 9.60/7.13 tff(31093,plain,
% 9.60/7.13 ((~v132(constB169)) | (~v139(constB169))),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[31092, 31091])).
% 9.60/7.13 tff(31094,plain,
% 9.60/7.13 ((~(v138(constB169) <=> (~((~v132(constB169)) | (~v139(constB169)))))) | (~v138(constB169)) | (~((~v132(constB169)) | (~v139(constB169))))),
% 9.60/7.13 inference(tautology,[status(thm)],[])).
% 9.60/7.13 tff(31095,plain,
% 9.60/7.13 (~v138(constB169)),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[31094, 31093, 31029])).
% 9.60/7.13 tff(31096,plain,
% 9.60/7.13 ((~![VarCurr: $i] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB169) <=> (~((~v143(constB169)) | (~v144(constB169)))))),
% 9.60/7.13 inference(quant_inst,[status(thm)],[])).
% 9.60/7.13 tff(31097,plain,
% 9.60/7.13 (v142(constB169) <=> (~((~v143(constB169)) | (~v144(constB169))))),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[31096, 596])).
% 9.60/7.13 tff(31098,plain,
% 9.60/7.13 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB169) <=> (~((~v141(constB169)) | (~v145(constB169)))))),
% 9.60/7.13 inference(quant_inst,[status(thm)],[])).
% 9.60/7.13 tff(31099,plain,
% 9.60/7.13 (v144(constB169) <=> (~((~v141(constB169)) | (~v145(constB169))))),
% 9.60/7.13 inference(unit_resolution,[status(thm)],[31098, 608])).
% 9.60/7.13 tff(31100,plain,
% 9.60/7.13 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB169) <=> (~(v84(constB169, bitIndex2) | v84(constB169, bitIndex1) | (~v84(constB169, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB169) <=> (~(v84(constB169, bitIndex2) | v84(constB169, bitIndex1) | (~v84(constB169, bitIndex0))))))),
% 9.60/7.13 inference(rewrite,[status(thm)],[])).
% 9.60/7.13 tff(31101,plain,
% 9.60/7.13 ((v145(constB169) <=> (~(v84(constB169, bitIndex1) | v84(constB169, bitIndex2) | (~v84(constB169, bitIndex0))))) <=> (v145(constB169) <=> (~(v84(constB169, bitIndex2) | v84(constB169, bitIndex1) | (~v84(constB169, bitIndex0)))))),
% 9.60/7.13 inference(rewrite,[status(thm)],[])).
% 9.60/7.13 tff(31102,plain,
% 9.60/7.13 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB169) <=> (~(v84(constB169, bitIndex1) | v84(constB169, bitIndex2) | (~v84(constB169, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB169) <=> (~(v84(constB169, bitIndex2) | v84(constB169, bitIndex1) | (~v84(constB169, bitIndex0))))))),
% 9.60/7.13 inference(monotonicity,[status(thm)],[31101])).
% 9.60/7.13 tff(31103,plain,
% 9.60/7.13 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB169) <=> (~(v84(constB169, bitIndex1) | v84(constB169, bitIndex2) | (~v84(constB169, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB169) <=> (~(v84(constB169, bitIndex2) | v84(constB169, bitIndex1) | (~v84(constB169, bitIndex0))))))),
% 9.60/7.14 inference(transitivity,[status(thm)],[31102, 31100])).
% 9.60/7.14 tff(31104,plain,
% 9.60/7.14 ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB169) <=> (~(v84(constB169, bitIndex1) | v84(constB169, bitIndex2) | (~v84(constB169, bitIndex0)))))),
% 9.60/7.14 inference(quant_inst,[status(thm)],[])).
% 9.60/7.14 tff(31105,plain,
% 9.60/7.14 ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB169) <=> (~(v84(constB169, bitIndex2) | v84(constB169, bitIndex1) | (~v84(constB169, bitIndex0)))))),
% 9.60/7.14 inference(modus_ponens,[status(thm)],[31104, 31103])).
% 9.60/7.14 tff(31106,plain,
% 9.60/7.14 (v145(constB169) <=> (~(v84(constB169, bitIndex2) | v84(constB169, bitIndex1) | (~v84(constB169, bitIndex0))))),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31105, 755])).
% 9.60/7.14 tff(31107,plain,
% 9.60/7.14 ((~(v145(constB169) <=> (~(v84(constB169, bitIndex2) | v84(constB169, bitIndex1) | (~v84(constB169, bitIndex0)))))) | (~v145(constB169)) | (~(v84(constB169, bitIndex2) | v84(constB169, bitIndex1) | (~v84(constB169, bitIndex0))))),
% 9.60/7.14 inference(tautology,[status(thm)],[])).
% 9.60/7.14 tff(31108,plain,
% 9.60/7.14 (~v145(constB169)),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31107, 23689, 31106])).
% 9.60/7.14 tff(31109,plain,
% 9.60/7.14 (((~v141(constB169)) | (~v145(constB169))) | v145(constB169)),
% 9.60/7.14 inference(tautology,[status(thm)],[])).
% 9.60/7.14 tff(31110,plain,
% 9.60/7.14 ((~v141(constB169)) | (~v145(constB169))),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31109, 31108])).
% 9.60/7.14 tff(31111,plain,
% 9.60/7.14 ((~(v144(constB169) <=> (~((~v141(constB169)) | (~v145(constB169)))))) | (~v144(constB169)) | (~((~v141(constB169)) | (~v145(constB169))))),
% 9.60/7.14 inference(tautology,[status(thm)],[])).
% 9.60/7.14 tff(31112,plain,
% 9.60/7.14 (~v144(constB169)),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31111, 31110, 31099])).
% 9.60/7.14 tff(31113,plain,
% 9.60/7.14 (((~v143(constB169)) | (~v144(constB169))) | v144(constB169)),
% 9.60/7.14 inference(tautology,[status(thm)],[])).
% 9.60/7.14 tff(31114,plain,
% 9.60/7.14 ((~v143(constB169)) | (~v144(constB169))),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31113, 31112])).
% 9.60/7.14 tff(31115,plain,
% 9.60/7.14 ((~(v142(constB169) <=> (~((~v143(constB169)) | (~v144(constB169)))))) | (~v142(constB169)) | (~((~v143(constB169)) | (~v144(constB169))))),
% 9.60/7.14 inference(tautology,[status(thm)],[])).
% 9.60/7.14 tff(31116,plain,
% 9.60/7.14 (~v142(constB169)),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31115, 31114, 31097])).
% 9.60/7.14 tff(31117,plain,
% 9.60/7.14 ((~(v138(constB169) | v142(constB169))) | v138(constB169) | v142(constB169)),
% 9.60/7.14 inference(tautology,[status(thm)],[])).
% 9.60/7.14 tff(31118,plain,
% 9.60/7.14 (~(v138(constB169) | v142(constB169))),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31117, 31116, 31095])).
% 9.60/7.14 tff(31119,plain,
% 9.60/7.14 ((~(v135(constB169) <=> (v138(constB169) | v142(constB169)))) | (~v135(constB169)) | (v138(constB169) | v142(constB169))),
% 9.60/7.14 inference(tautology,[status(thm)],[])).
% 9.60/7.14 tff(31120,plain,
% 9.60/7.14 (~v135(constB169)),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31119, 31118, 31022])).
% 9.60/7.14 tff(31121,plain,
% 9.60/7.14 ((~(v137(constB170) <=> v135(constB169))) | (~v137(constB170)) | v135(constB169)),
% 9.60/7.14 inference(tautology,[status(thm)],[])).
% 9.60/7.14 tff(31122,plain,
% 9.60/7.14 (~v137(constB170)),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31121, 31120, 31020])).
% 9.60/7.14 tff(31123,plain,
% 9.60/7.14 ((~(v132(constB170) <=> v137(constB170))) | (~v132(constB170)) | v137(constB170)),
% 9.60/7.14 inference(tautology,[status(thm)],[])).
% 9.60/7.14 tff(31124,plain,
% 9.60/7.14 (~v132(constB170)),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31123, 31122, 31016])).
% 9.60/7.14 tff(31125,plain,
% 9.60/7.14 (((~v132(constB170)) | (~v139(constB170))) | v132(constB170)),
% 9.60/7.14 inference(tautology,[status(thm)],[])).
% 9.60/7.14 tff(31126,plain,
% 9.60/7.14 ((~v132(constB170)) | (~v139(constB170))),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31125, 31124])).
% 9.60/7.14 tff(31127,plain,
% 9.60/7.14 ((~(v138(constB170) <=> (~((~v132(constB170)) | (~v139(constB170)))))) | (~v138(constB170)) | (~((~v132(constB170)) | (~v139(constB170))))),
% 9.60/7.14 inference(tautology,[status(thm)],[])).
% 9.60/7.14 tff(31128,plain,
% 9.60/7.14 (~v138(constB170)),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31127, 31126, 31014])).
% 9.60/7.14 tff(31129,plain,
% 9.60/7.14 ((~(v138(constB170) | v142(constB170))) | v138(constB170) | v142(constB170)),
% 9.60/7.14 inference(tautology,[status(thm)],[])).
% 9.60/7.14 tff(31130,plain,
% 9.60/7.14 (~(v138(constB170) | v142(constB170))),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31129, 31128, 31007])).
% 9.60/7.14 tff(31131,plain,
% 9.60/7.14 ((~(v135(constB170) <=> (v138(constB170) | v142(constB170)))) | (~v135(constB170)) | (v138(constB170) | v142(constB170))),
% 9.60/7.14 inference(tautology,[status(thm)],[])).
% 9.60/7.14 tff(31132,plain,
% 9.60/7.14 (~v135(constB170)),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31131, 31130, 30982])).
% 9.60/7.14 tff(31133,plain,
% 9.60/7.14 ((~(v137(constB171) <=> v135(constB170))) | (~v137(constB171)) | v135(constB170)),
% 9.60/7.14 inference(tautology,[status(thm)],[])).
% 9.60/7.14 tff(31134,plain,
% 9.60/7.14 (~v137(constB171)),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31133, 31132, 30980])).
% 9.60/7.14 tff(31135,plain,
% 9.60/7.14 ((~(v132(constB171) <=> v137(constB171))) | (~v132(constB171)) | v137(constB171)),
% 9.60/7.14 inference(tautology,[status(thm)],[])).
% 9.60/7.14 tff(31136,plain,
% 9.60/7.14 (~v132(constB171)),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31135, 31134, 30976])).
% 9.60/7.14 tff(31137,plain,
% 9.60/7.14 (((~v132(constB171)) | (~v154(constB171))) | v132(constB171)),
% 9.60/7.14 inference(tautology,[status(thm)],[])).
% 9.60/7.14 tff(31138,plain,
% 9.60/7.14 ((~v132(constB171)) | (~v154(constB171))),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31137, 31136])).
% 9.60/7.14 tff(31139,plain,
% 9.60/7.14 ((~(v153(constB171) <=> (~((~v132(constB171)) | (~v154(constB171)))))) | (~v153(constB171)) | (~((~v132(constB171)) | (~v154(constB171))))),
% 9.60/7.14 inference(tautology,[status(thm)],[])).
% 9.60/7.14 tff(31140,plain,
% 9.60/7.14 (~v153(constB171)),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31139, 31138, 30974])).
% 9.60/7.14 tff(31141,plain,
% 9.60/7.14 ((~(v153(constB171) | v155(constB171))) | v153(constB171) | v155(constB171)),
% 9.60/7.14 inference(tautology,[status(thm)],[])).
% 9.60/7.14 tff(31142,plain,
% 9.60/7.14 (~(v153(constB171) | v155(constB171))),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31141, 31140, 30967])).
% 9.60/7.14 tff(31143,plain,
% 9.60/7.14 ((~(v150(constB171) <=> (v153(constB171) | v155(constB171)))) | (~v150(constB171)) | (v153(constB171) | v155(constB171))),
% 9.60/7.14 inference(tautology,[status(thm)],[])).
% 9.60/7.14 tff(31144,plain,
% 9.60/7.14 (~v150(constB171)),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31143, 31142, 30894])).
% 9.60/7.14 tff(31145,plain,
% 9.60/7.14 ((~(v152(constB172) <=> v150(constB171))) | (~v152(constB172)) | v150(constB171)),
% 9.60/7.14 inference(tautology,[status(thm)],[])).
% 9.60/7.14 tff(31146,plain,
% 9.60/7.14 (~v152(constB172)),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31145, 31144, 30892])).
% 9.60/7.14 tff(31147,plain,
% 9.60/7.14 ((~(v130(constB172) <=> v152(constB172))) | (~v130(constB172)) | v152(constB172)),
% 9.60/7.14 inference(tautology,[status(thm)],[])).
% 9.60/7.14 tff(31148,plain,
% 9.60/7.14 (~v130(constB172)),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31147, 31146, 30888])).
% 9.60/7.14 tff(31149,plain,
% 9.60/7.14 (((~v130(constB172)) | (~v139(constB172))) | v130(constB172)),
% 9.60/7.14 inference(tautology,[status(thm)],[])).
% 9.60/7.14 tff(31150,plain,
% 9.60/7.14 ((~v130(constB172)) | (~v139(constB172))),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31149, 31148])).
% 9.60/7.14 tff(31151,plain,
% 9.60/7.14 ((~(v155(constB172) <=> (~((~v130(constB172)) | (~v139(constB172)))))) | (~v155(constB172)) | (~((~v130(constB172)) | (~v139(constB172))))),
% 9.60/7.14 inference(tautology,[status(thm)],[])).
% 9.60/7.14 tff(31152,plain,
% 9.60/7.14 (~v155(constB172)),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31151, 31150, 30886])).
% 9.60/7.14 tff(31153,plain,
% 9.60/7.14 ((~(v153(constB172) | v155(constB172))) | v153(constB172) | v155(constB172)),
% 9.60/7.14 inference(tautology,[status(thm)],[])).
% 9.60/7.14 tff(31154,plain,
% 9.60/7.14 (~(v153(constB172) | v155(constB172))),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31153, 31152, 30879])).
% 9.60/7.14 tff(31155,plain,
% 9.60/7.14 ((~(v150(constB172) <=> (v153(constB172) | v155(constB172)))) | (~v150(constB172)) | (v153(constB172) | v155(constB172))),
% 9.60/7.14 inference(tautology,[status(thm)],[])).
% 9.60/7.14 tff(31156,plain,
% 9.60/7.14 (~v150(constB172)),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31155, 31154, 30844])).
% 9.60/7.14 tff(31157,plain,
% 9.60/7.14 ((~(v152(constB173) <=> v150(constB172))) | (~v152(constB173)) | v150(constB172)),
% 9.60/7.14 inference(tautology,[status(thm)],[])).
% 9.60/7.14 tff(31158,plain,
% 9.60/7.14 (~v152(constB173)),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31157, 31156, 30842])).
% 9.60/7.14 tff(31159,plain,
% 9.60/7.14 ((~(v130(constB173) <=> v152(constB173))) | (~v130(constB173)) | v152(constB173)),
% 9.60/7.14 inference(tautology,[status(thm)],[])).
% 9.60/7.14 tff(31160,plain,
% 9.60/7.14 (~v130(constB173)),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31159, 31158, 30838])).
% 9.60/7.14 tff(31161,plain,
% 9.60/7.14 (((~v130(constB173)) | (~v154(constB173))) | v130(constB173)),
% 9.60/7.14 inference(tautology,[status(thm)],[])).
% 9.60/7.14 tff(31162,plain,
% 9.60/7.14 ((~v130(constB173)) | (~v154(constB173))),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31161, 31160])).
% 9.60/7.14 tff(31163,plain,
% 9.60/7.14 ((~(v164(constB173) <=> (~((~v130(constB173)) | (~v154(constB173)))))) | (~v164(constB173)) | (~((~v130(constB173)) | (~v154(constB173))))),
% 9.60/7.14 inference(tautology,[status(thm)],[])).
% 9.60/7.14 tff(31164,plain,
% 9.60/7.14 (~v164(constB173)),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31163, 31162, 30836])).
% 9.60/7.14 tff(31165,plain,
% 9.60/7.14 ((~(v163(constB173) | v164(constB173))) | v163(constB173) | v164(constB173)),
% 9.60/7.14 inference(tautology,[status(thm)],[])).
% 9.60/7.14 tff(31166,plain,
% 9.60/7.14 (~(v163(constB173) | v164(constB173))),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31165, 31164, 30829])).
% 9.60/7.14 tff(31167,plain,
% 9.60/7.14 ((~(v160(constB173) <=> (v163(constB173) | v164(constB173)))) | (~v160(constB173)) | (v163(constB173) | v164(constB173))),
% 9.60/7.14 inference(tautology,[status(thm)],[])).
% 9.60/7.14 tff(31168,plain,
% 9.60/7.14 (~v160(constB173)),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31167, 31166, 30756])).
% 9.60/7.14 tff(31169,plain,
% 9.60/7.14 ((~(v162(constB174) <=> v160(constB173))) | (~v162(constB174)) | v160(constB173)),
% 9.60/7.14 inference(tautology,[status(thm)],[])).
% 9.60/7.14 tff(31170,plain,
% 9.60/7.14 (~v162(constB174)),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31169, 31168, 30754])).
% 9.60/7.14 tff(31171,plain,
% 9.60/7.14 ((~(v128(constB174) <=> v162(constB174))) | (~v128(constB174)) | v162(constB174)),
% 9.60/7.14 inference(tautology,[status(thm)],[])).
% 9.60/7.14 tff(31172,plain,
% 9.60/7.14 (~v128(constB174)),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31171, 31170, 30750])).
% 9.60/7.14 tff(31173,plain,
% 9.60/7.14 (((~v128(constB174)) | (~v139(constB174))) | v128(constB174)),
% 9.60/7.14 inference(tautology,[status(thm)],[])).
% 9.60/7.14 tff(31174,plain,
% 9.60/7.14 ((~v128(constB174)) | (~v139(constB174))),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31173, 31172])).
% 9.60/7.14 tff(31175,plain,
% 9.60/7.14 ((~(v163(constB174) <=> (~((~v128(constB174)) | (~v139(constB174)))))) | (~v163(constB174)) | (~((~v128(constB174)) | (~v139(constB174))))),
% 9.60/7.14 inference(tautology,[status(thm)],[])).
% 9.60/7.14 tff(31176,plain,
% 9.60/7.14 (~v163(constB174)),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31175, 31174, 30748])).
% 9.60/7.14 tff(31177,plain,
% 9.60/7.14 ((~(v163(constB174) | v164(constB174))) | v163(constB174) | v164(constB174)),
% 9.60/7.14 inference(tautology,[status(thm)],[])).
% 9.60/7.14 tff(31178,plain,
% 9.60/7.14 (~(v163(constB174) | v164(constB174))),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31177, 31176, 30741])).
% 9.60/7.14 tff(31179,plain,
% 9.60/7.14 ((~(v160(constB174) <=> (v163(constB174) | v164(constB174)))) | (~v160(constB174)) | (v163(constB174) | v164(constB174))),
% 9.60/7.14 inference(tautology,[status(thm)],[])).
% 9.60/7.14 tff(31180,plain,
% 9.60/7.14 (~v160(constB174)),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31179, 31178, 30706])).
% 9.60/7.14 tff(31181,plain,
% 9.60/7.14 ((~(v162(constB175) <=> v160(constB174))) | (~v162(constB175)) | v160(constB174)),
% 9.60/7.14 inference(tautology,[status(thm)],[])).
% 9.60/7.14 tff(31182,plain,
% 9.60/7.14 (~v162(constB175)),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31181, 31180, 30704])).
% 9.60/7.14 tff(31183,plain,
% 9.60/7.14 ($false),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31182, 30700])).
% 9.60/7.14 tff(31184,plain,(~(constB175 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.60/7.14 tff(31185,assumption,(constB49 = VarCurr!0), introduced(assumption)).
% 9.60/7.14 tff(31186,plain,
% 9.60/7.14 (v162(constB49) <=> v162(VarCurr!0)),
% 9.60/7.14 inference(monotonicity,[status(thm)],[31185])).
% 9.60/7.14 tff(31187,plain,
% 9.60/7.14 (v162(VarCurr!0) <=> v162(constB49)),
% 9.60/7.14 inference(symmetry,[status(thm)],[31186])).
% 9.60/7.14 tff(31188,plain,
% 9.60/7.14 (v162(constB49)),
% 9.60/7.14 inference(modus_ponens,[status(thm)],[59, 31187])).
% 9.60/7.14 tff(31189,plain,
% 9.60/7.14 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB48, constB49)) | (v162(constB49) <=> v160(constB48)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB48, constB49)) | (v162(constB49) <=> v160(constB48)))),
% 9.60/7.14 inference(rewrite,[status(thm)],[])).
% 9.60/7.14 tff(31190,plain,
% 9.60/7.14 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB48, constB49)) | (v162(constB49) <=> v160(constB48)))),
% 9.60/7.14 inference(quant_inst,[status(thm)],[])).
% 9.60/7.14 tff(31191,plain,
% 9.60/7.14 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB48, constB49)) | (v162(constB49) <=> v160(constB48))),
% 9.60/7.14 inference(modus_ponens,[status(thm)],[31190, 31189])).
% 9.60/7.14 tff(31192,plain,
% 9.60/7.14 (v162(constB49) <=> v160(constB48)),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31191, 7538, 70])).
% 9.60/7.14 tff(31193,plain,
% 9.60/7.14 ((~![VarCurr: $i] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB48) <=> (v163(constB48) | v164(constB48)))),
% 9.60/7.14 inference(quant_inst,[status(thm)],[])).
% 9.60/7.14 tff(31194,plain,
% 9.60/7.14 (v160(constB48) <=> (v163(constB48) | v164(constB48))),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31193, 84])).
% 9.60/7.14 tff(31195,plain,
% 9.60/7.14 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB48) <=> (~((~v130(constB48)) | (~v154(constB48)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB48) <=> (~((~v130(constB48)) | (~v154(constB48))))))),
% 9.60/7.14 inference(rewrite,[status(thm)],[])).
% 9.60/7.14 tff(31196,plain,
% 9.60/7.14 ((v164(constB48) <=> (~((~v154(constB48)) | (~v130(constB48))))) <=> (v164(constB48) <=> (~((~v130(constB48)) | (~v154(constB48)))))),
% 9.60/7.14 inference(rewrite,[status(thm)],[])).
% 9.60/7.14 tff(31197,plain,
% 9.60/7.14 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB48) <=> (~((~v154(constB48)) | (~v130(constB48)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB48) <=> (~((~v130(constB48)) | (~v154(constB48))))))),
% 9.60/7.14 inference(monotonicity,[status(thm)],[31196])).
% 9.60/7.14 tff(31198,plain,
% 9.60/7.14 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB48) <=> (~((~v154(constB48)) | (~v130(constB48)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB48) <=> (~((~v130(constB48)) | (~v154(constB48))))))),
% 9.60/7.14 inference(transitivity,[status(thm)],[31197, 31195])).
% 9.60/7.14 tff(31199,plain,
% 9.60/7.14 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB48) <=> (~((~v154(constB48)) | (~v130(constB48)))))),
% 9.60/7.14 inference(quant_inst,[status(thm)],[])).
% 9.60/7.14 tff(31200,plain,
% 9.60/7.14 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB48) <=> (~((~v130(constB48)) | (~v154(constB48)))))),
% 9.60/7.14 inference(modus_ponens,[status(thm)],[31199, 31198])).
% 9.60/7.14 tff(31201,plain,
% 9.60/7.14 (v164(constB48) <=> (~((~v130(constB48)) | (~v154(constB48))))),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31200, 96])).
% 9.60/7.14 tff(31202,plain,
% 9.60/7.14 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB48) <=> (~((~v141(constB48)) | (~v143(constB48)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB48) <=> (~((~v141(constB48)) | (~v143(constB48))))))),
% 9.60/7.14 inference(rewrite,[status(thm)],[])).
% 9.60/7.14 tff(31203,plain,
% 9.60/7.14 ((v154(constB48) <=> (~((~v143(constB48)) | (~v141(constB48))))) <=> (v154(constB48) <=> (~((~v141(constB48)) | (~v143(constB48)))))),
% 9.60/7.14 inference(rewrite,[status(thm)],[])).
% 9.60/7.14 tff(31204,plain,
% 9.60/7.14 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB48) <=> (~((~v143(constB48)) | (~v141(constB48)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB48) <=> (~((~v141(constB48)) | (~v143(constB48))))))),
% 9.60/7.14 inference(monotonicity,[status(thm)],[31203])).
% 9.60/7.14 tff(31205,plain,
% 9.60/7.14 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB48) <=> (~((~v143(constB48)) | (~v141(constB48)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB48) <=> (~((~v141(constB48)) | (~v143(constB48))))))),
% 9.60/7.14 inference(transitivity,[status(thm)],[31204, 31202])).
% 9.60/7.14 tff(31206,plain,
% 9.60/7.14 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB48) <=> (~((~v143(constB48)) | (~v141(constB48)))))),
% 9.60/7.14 inference(quant_inst,[status(thm)],[])).
% 9.60/7.14 tff(31207,plain,
% 9.60/7.14 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB48) <=> (~((~v141(constB48)) | (~v143(constB48)))))),
% 9.60/7.14 inference(modus_ponens,[status(thm)],[31206, 31205])).
% 9.60/7.14 tff(31208,plain,
% 9.60/7.14 (v154(constB48) <=> (~((~v141(constB48)) | (~v143(constB48))))),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31207, 113])).
% 9.60/7.14 tff(31209,plain,
% 9.60/7.14 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB48) <=> (~((~v39(constB48)) | (~v9(constB48)))))),
% 9.60/7.14 inference(quant_inst,[status(thm)],[])).
% 9.60/7.14 tff(31210,plain,
% 9.60/7.14 (v141(constB48) <=> (~((~v39(constB48)) | (~v9(constB48))))),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31209, 130])).
% 9.60/7.14 tff(31211,plain,
% 9.60/7.14 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB48)) <=> v1(constB48))),
% 9.60/7.14 inference(quant_inst,[status(thm)],[])).
% 9.60/7.14 tff(31212,plain,
% 9.60/7.14 ((~v39(constB48)) <=> v1(constB48)),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31211, 139])).
% 9.60/7.14 tff(31213,plain,
% 9.60/7.14 ((~((~v39(constB48)) <=> v1(constB48))) | (~v39(constB48)) | (~v1(constB48))),
% 9.60/7.14 inference(tautology,[status(thm)],[])).
% 9.60/7.14 tff(31214,plain,
% 9.60/7.14 ((~((~v39(constB48)) <=> v1(constB48))) | (~v39(constB48))),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31213, 7600])).
% 9.60/7.14 tff(31215,plain,
% 9.60/7.14 (~v39(constB48)),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31214, 31212])).
% 9.60/7.14 tff(31216,plain,
% 9.60/7.14 (((~v39(constB48)) | (~v9(constB48))) | v39(constB48)),
% 9.60/7.14 inference(tautology,[status(thm)],[])).
% 9.60/7.14 tff(31217,plain,
% 9.60/7.14 ((~v39(constB48)) | (~v9(constB48))),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31216, 31215])).
% 9.60/7.14 tff(31218,plain,
% 9.60/7.14 ((~(v141(constB48) <=> (~((~v39(constB48)) | (~v9(constB48)))))) | (~v141(constB48)) | (~((~v39(constB48)) | (~v9(constB48))))),
% 9.60/7.14 inference(tautology,[status(thm)],[])).
% 9.60/7.14 tff(31219,plain,
% 9.60/7.14 ((~(v141(constB48) <=> (~((~v39(constB48)) | (~v9(constB48)))))) | (~v141(constB48))),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31218, 31217])).
% 9.60/7.14 tff(31220,plain,
% 9.60/7.14 (~v141(constB48)),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31219, 31210])).
% 9.60/7.14 tff(31221,plain,
% 9.60/7.14 (((~v141(constB48)) | (~v143(constB48))) | v141(constB48)),
% 9.60/7.14 inference(tautology,[status(thm)],[])).
% 9.60/7.14 tff(31222,plain,
% 9.60/7.14 ((~v141(constB48)) | (~v143(constB48))),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31221, 31220])).
% 9.60/7.14 tff(31223,plain,
% 9.60/7.14 ((~(v154(constB48) <=> (~((~v141(constB48)) | (~v143(constB48)))))) | (~v154(constB48)) | (~((~v141(constB48)) | (~v143(constB48))))),
% 9.60/7.14 inference(tautology,[status(thm)],[])).
% 9.60/7.14 tff(31224,plain,
% 9.60/7.14 ((~(v154(constB48) <=> (~((~v141(constB48)) | (~v143(constB48)))))) | (~v154(constB48))),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31223, 31222])).
% 9.60/7.14 tff(31225,plain,
% 9.60/7.14 (~v154(constB48)),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31224, 31208])).
% 9.60/7.14 tff(31226,plain,
% 9.60/7.14 (((~v130(constB48)) | (~v154(constB48))) | v154(constB48)),
% 9.60/7.14 inference(tautology,[status(thm)],[])).
% 9.60/7.14 tff(31227,plain,
% 9.60/7.14 ((~v130(constB48)) | (~v154(constB48))),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31226, 31225])).
% 9.60/7.14 tff(31228,plain,
% 9.60/7.14 ((~(v164(constB48) <=> (~((~v130(constB48)) | (~v154(constB48)))))) | (~v164(constB48)) | (~((~v130(constB48)) | (~v154(constB48))))),
% 9.60/7.14 inference(tautology,[status(thm)],[])).
% 9.60/7.14 tff(31229,plain,
% 9.60/7.14 (~v164(constB48)),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31228, 31227, 31201])).
% 9.60/7.14 tff(31230,plain,
% 9.60/7.14 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB48) <=> (~((~v128(constB48)) | (~v139(constB48)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB48) <=> (~((~v128(constB48)) | (~v139(constB48))))))),
% 9.60/7.14 inference(rewrite,[status(thm)],[])).
% 9.60/7.14 tff(31231,plain,
% 9.60/7.14 ((v163(constB48) <=> (~((~v139(constB48)) | (~v128(constB48))))) <=> (v163(constB48) <=> (~((~v128(constB48)) | (~v139(constB48)))))),
% 9.60/7.14 inference(rewrite,[status(thm)],[])).
% 9.60/7.14 tff(31232,plain,
% 9.60/7.14 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB48) <=> (~((~v139(constB48)) | (~v128(constB48)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB48) <=> (~((~v128(constB48)) | (~v139(constB48))))))),
% 9.60/7.14 inference(monotonicity,[status(thm)],[31231])).
% 9.60/7.14 tff(31233,plain,
% 9.60/7.14 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB48) <=> (~((~v139(constB48)) | (~v128(constB48)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB48) <=> (~((~v128(constB48)) | (~v139(constB48))))))),
% 9.60/7.14 inference(transitivity,[status(thm)],[31232, 31230])).
% 9.60/7.14 tff(31234,plain,
% 9.60/7.14 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB48) <=> (~((~v139(constB48)) | (~v128(constB48)))))),
% 9.60/7.14 inference(quant_inst,[status(thm)],[])).
% 9.60/7.14 tff(31235,plain,
% 9.60/7.14 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB48) <=> (~((~v128(constB48)) | (~v139(constB48)))))),
% 9.60/7.14 inference(modus_ponens,[status(thm)],[31234, 31233])).
% 9.60/7.14 tff(31236,plain,
% 9.60/7.14 (v163(constB48) <=> (~((~v128(constB48)) | (~v139(constB48))))),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31235, 171])).
% 9.60/7.14 tff(31237,plain,
% 9.60/7.14 ((~![VarNext: $i] : (v128(VarNext) <=> v162(VarNext))) | (v128(constB48) <=> v162(constB48))),
% 9.60/7.14 inference(quant_inst,[status(thm)],[])).
% 9.60/7.14 tff(31238,plain,
% 9.60/7.14 (v128(constB48) <=> v162(constB48)),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31237, 13])).
% 9.60/7.14 tff(31239,plain,
% 9.60/7.14 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB47, constB48)) | (v162(constB48) <=> v160(constB47)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB47, constB48)) | (v162(constB48) <=> v160(constB47)))),
% 9.60/7.14 inference(rewrite,[status(thm)],[])).
% 9.60/7.14 tff(31240,plain,
% 9.60/7.14 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB47, constB48)) | (v162(constB48) <=> v160(constB47)))),
% 9.60/7.14 inference(quant_inst,[status(thm)],[])).
% 9.60/7.14 tff(31241,plain,
% 9.60/7.14 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB47, constB48)) | (v162(constB48) <=> v160(constB47))),
% 9.60/7.14 inference(modus_ponens,[status(thm)],[31240, 31239])).
% 9.60/7.14 tff(31242,plain,
% 9.60/7.14 (v162(constB48) <=> v160(constB47)),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31241, 7570, 70])).
% 9.60/7.14 tff(31243,plain,
% 9.60/7.14 ((~![VarCurr: $i] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB47) <=> (v163(constB47) | v164(constB47)))),
% 9.60/7.14 inference(quant_inst,[status(thm)],[])).
% 9.60/7.14 tff(31244,plain,
% 9.60/7.14 (v160(constB47) <=> (v163(constB47) | v164(constB47))),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31243, 84])).
% 9.60/7.14 tff(31245,plain,
% 9.60/7.14 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB47) <=> (~((~v128(constB47)) | (~v139(constB47)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB47) <=> (~((~v128(constB47)) | (~v139(constB47))))))),
% 9.60/7.14 inference(rewrite,[status(thm)],[])).
% 9.60/7.14 tff(31246,plain,
% 9.60/7.14 ((v163(constB47) <=> (~((~v139(constB47)) | (~v128(constB47))))) <=> (v163(constB47) <=> (~((~v128(constB47)) | (~v139(constB47)))))),
% 9.60/7.14 inference(rewrite,[status(thm)],[])).
% 9.60/7.14 tff(31247,plain,
% 9.60/7.14 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB47) <=> (~((~v139(constB47)) | (~v128(constB47)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB47) <=> (~((~v128(constB47)) | (~v139(constB47))))))),
% 9.60/7.14 inference(monotonicity,[status(thm)],[31246])).
% 9.60/7.14 tff(31248,plain,
% 9.60/7.14 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB47) <=> (~((~v139(constB47)) | (~v128(constB47)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB47) <=> (~((~v128(constB47)) | (~v139(constB47))))))),
% 9.60/7.14 inference(transitivity,[status(thm)],[31247, 31245])).
% 9.60/7.14 tff(31249,plain,
% 9.60/7.14 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB47) <=> (~((~v139(constB47)) | (~v128(constB47)))))),
% 9.60/7.14 inference(quant_inst,[status(thm)],[])).
% 9.60/7.14 tff(31250,plain,
% 9.60/7.14 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB47) <=> (~((~v128(constB47)) | (~v139(constB47)))))),
% 9.60/7.14 inference(modus_ponens,[status(thm)],[31249, 31248])).
% 9.60/7.14 tff(31251,plain,
% 9.60/7.14 (v163(constB47) <=> (~((~v128(constB47)) | (~v139(constB47))))),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31250, 171])).
% 9.60/7.14 tff(31252,plain,
% 9.60/7.14 ((~![VarCurr: $i] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB47)) <=> v140(constB47))),
% 9.60/7.14 inference(quant_inst,[status(thm)],[])).
% 9.60/7.14 tff(31253,plain,
% 9.60/7.14 ((~v139(constB47)) <=> v140(constB47)),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31252, 203])).
% 9.60/7.14 tff(31254,plain,
% 9.60/7.14 ((~![VarCurr: $i] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB47) <=> (v141(constB47) | v26(constB47)))),
% 9.60/7.14 inference(quant_inst,[status(thm)],[])).
% 9.60/7.14 tff(31255,plain,
% 9.60/7.14 (v140(constB47) <=> (v141(constB47) | v26(constB47))),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31254, 212])).
% 9.60/7.14 tff(31256,plain,
% 9.60/7.14 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB47) <=> (~((~v39(constB47)) | (~v9(constB47)))))),
% 9.60/7.14 inference(quant_inst,[status(thm)],[])).
% 9.60/7.14 tff(31257,plain,
% 9.60/7.14 (v141(constB47) <=> (~((~v39(constB47)) | (~v9(constB47))))),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31256, 130])).
% 9.60/7.14 tff(31258,plain,
% 9.60/7.14 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB47, constB48)) | (v13(constB48) <=> v9(constB47)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB47, constB48)) | (v13(constB48) <=> v9(constB47)))),
% 9.60/7.14 inference(rewrite,[status(thm)],[])).
% 9.60/7.14 tff(31259,plain,
% 9.60/7.14 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB47, constB48)) | (v13(constB48) <=> v9(constB47)))),
% 9.60/7.14 inference(quant_inst,[status(thm)],[])).
% 9.60/7.14 tff(31260,plain,
% 9.60/7.14 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB47, constB48)) | (v13(constB48) <=> v9(constB47))),
% 9.60/7.14 inference(modus_ponens,[status(thm)],[31259, 31258])).
% 9.60/7.14 tff(31261,plain,
% 9.60/7.14 (v13(constB48) <=> v9(constB47)),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31260, 7570, 226])).
% 9.60/7.14 tff(31262,plain,
% 9.60/7.14 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB48) <=> v13(constB48))),
% 9.60/7.14 inference(quant_inst,[status(thm)],[])).
% 9.60/7.14 tff(31263,plain,
% 9.60/7.14 (v6(constB48) <=> v13(constB48)),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31262, 240])).
% 9.60/7.14 tff(31264,plain,
% 9.60/7.14 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB48)) <=> v6(constB48))),
% 9.60/7.14 inference(quant_inst,[status(thm)],[])).
% 9.60/7.14 tff(31265,plain,
% 9.60/7.14 ((~v21(constB48)) <=> v6(constB48)),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31264, 249])).
% 9.60/7.14 tff(31266,plain,
% 9.60/7.14 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB48) <=> (v20(constB48) | v21(constB48)))),
% 9.60/7.14 inference(quant_inst,[status(thm)],[])).
% 9.60/7.14 tff(31267,plain,
% 9.60/7.14 (v19(constB48) <=> (v20(constB48) | v21(constB48))),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31266, 258])).
% 9.60/7.14 tff(31268,plain,
% 9.60/7.14 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB48) <=> (~((~v19(constB48)) | (~v22(constB48)))))),
% 9.60/7.14 inference(quant_inst,[status(thm)],[])).
% 9.60/7.14 tff(31269,plain,
% 9.60/7.14 (v18(constB48) <=> (~((~v19(constB48)) | (~v22(constB48))))),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31268, 270])).
% 9.60/7.14 tff(31270,plain,
% 9.60/7.14 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB48)) <=> v18(constB48))),
% 9.60/7.14 inference(quant_inst,[status(thm)],[])).
% 9.60/7.14 tff(31271,plain,
% 9.60/7.14 ((~v4(constB48)) <=> v18(constB48)),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31270, 279])).
% 9.60/7.14 tff(31272,plain,
% 9.60/7.14 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB48)),
% 9.60/7.14 inference(quant_inst,[status(thm)],[])).
% 9.60/7.14 tff(31273,plain,
% 9.60/7.14 (v4(constB48)),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31272, 288])).
% 9.60/7.14 tff(31274,plain,
% 9.60/7.14 ((~((~v4(constB48)) <=> v18(constB48))) | (~v4(constB48)) | (~v18(constB48))),
% 9.60/7.14 inference(tautology,[status(thm)],[])).
% 9.60/7.14 tff(31275,plain,
% 9.60/7.14 (~v18(constB48)),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31274, 31273, 31271])).
% 9.60/7.14 tff(31276,plain,
% 9.60/7.14 ((~(v18(constB48) <=> (~((~v19(constB48)) | (~v22(constB48)))))) | v18(constB48) | ((~v19(constB48)) | (~v22(constB48)))),
% 9.60/7.14 inference(tautology,[status(thm)],[])).
% 9.60/7.14 tff(31277,plain,
% 9.60/7.14 ((~v19(constB48)) | (~v22(constB48))),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31276, 31275, 31269])).
% 9.60/7.14 tff(31278,plain,
% 9.60/7.14 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB48) <=> (v1(constB48) | v6(constB48)))),
% 9.60/7.14 inference(quant_inst,[status(thm)],[])).
% 9.60/7.14 tff(31279,plain,
% 9.60/7.14 (v22(constB48) <=> (v1(constB48) | v6(constB48))),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31278, 301])).
% 9.60/7.14 tff(31280,plain,
% 9.60/7.14 ((v1(constB48) | v6(constB48)) | (~v1(constB48))),
% 9.60/7.14 inference(tautology,[status(thm)],[])).
% 9.60/7.14 tff(31281,plain,
% 9.60/7.14 (v1(constB48) | v6(constB48)),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31280, 7600])).
% 9.60/7.14 tff(31282,plain,
% 9.60/7.14 ((~(v22(constB48) <=> (v1(constB48) | v6(constB48)))) | v22(constB48) | (~(v1(constB48) | v6(constB48)))),
% 9.60/7.14 inference(tautology,[status(thm)],[])).
% 9.60/7.14 tff(31283,plain,
% 9.60/7.14 ((~(v22(constB48) <=> (v1(constB48) | v6(constB48)))) | v22(constB48)),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31282, 31281])).
% 9.60/7.14 tff(31284,plain,
% 9.60/7.14 (v22(constB48)),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31283, 31279])).
% 9.60/7.14 tff(31285,plain,
% 9.60/7.14 ((~((~v19(constB48)) | (~v22(constB48)))) | (~v19(constB48)) | (~v22(constB48))),
% 9.60/7.14 inference(tautology,[status(thm)],[])).
% 9.60/7.14 tff(31286,plain,
% 9.60/7.14 ((~((~v19(constB48)) | (~v22(constB48)))) | (~v19(constB48))),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31285, 31284])).
% 9.60/7.14 tff(31287,plain,
% 9.60/7.14 (~v19(constB48)),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31286, 31277])).
% 9.60/7.14 tff(31288,plain,
% 9.60/7.14 ((~(v19(constB48) <=> (v20(constB48) | v21(constB48)))) | v19(constB48) | (~(v20(constB48) | v21(constB48)))),
% 9.60/7.14 inference(tautology,[status(thm)],[])).
% 9.60/7.14 tff(31289,plain,
% 9.60/7.14 (~(v20(constB48) | v21(constB48))),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31288, 31287, 31267])).
% 9.60/7.14 tff(31290,plain,
% 9.60/7.14 ((v20(constB48) | v21(constB48)) | (~v21(constB48))),
% 9.60/7.14 inference(tautology,[status(thm)],[])).
% 9.60/7.14 tff(31291,plain,
% 9.60/7.14 (~v21(constB48)),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31290, 31289])).
% 9.60/7.14 tff(31292,plain,
% 9.60/7.14 ((~((~v21(constB48)) <=> v6(constB48))) | v21(constB48) | v6(constB48)),
% 9.60/7.14 inference(tautology,[status(thm)],[])).
% 9.60/7.14 tff(31293,plain,
% 9.60/7.14 (v6(constB48)),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31292, 31291, 31265])).
% 9.60/7.14 tff(31294,plain,
% 9.60/7.14 ((~(v6(constB48) <=> v13(constB48))) | (~v6(constB48)) | v13(constB48)),
% 9.60/7.14 inference(tautology,[status(thm)],[])).
% 9.60/7.14 tff(31295,plain,
% 9.60/7.14 (v13(constB48)),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31294, 31293, 31263])).
% 9.60/7.14 tff(31296,plain,
% 9.60/7.14 ((~(v13(constB48) <=> v9(constB47))) | (~v13(constB48)) | v9(constB47)),
% 9.60/7.14 inference(tautology,[status(thm)],[])).
% 9.60/7.14 tff(31297,plain,
% 9.60/7.14 (v9(constB47)),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31296, 31295, 31261])).
% 9.60/7.14 tff(31298,plain,
% 9.60/7.14 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB47)) <=> v1(constB47))),
% 9.60/7.14 inference(quant_inst,[status(thm)],[])).
% 9.60/7.14 tff(31299,plain,
% 9.60/7.14 ((~v39(constB47)) <=> v1(constB47)),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31298, 139])).
% 9.60/7.14 tff(31300,plain,
% 9.60/7.14 ((~((~v39(constB47)) <=> v1(constB47))) | v39(constB47) | v1(constB47)),
% 9.60/7.14 inference(tautology,[status(thm)],[])).
% 9.60/7.14 tff(31301,plain,
% 9.60/7.14 ((~((~v39(constB47)) <=> v1(constB47))) | v39(constB47)),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31300, 7592])).
% 9.60/7.14 tff(31302,plain,
% 9.60/7.14 (v39(constB47)),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31301, 31299])).
% 9.60/7.14 tff(31303,plain,
% 9.60/7.14 ((~((~v39(constB47)) | (~v9(constB47)))) | (~v39(constB47)) | (~v9(constB47))),
% 9.60/7.14 inference(tautology,[status(thm)],[])).
% 9.60/7.14 tff(31304,plain,
% 9.60/7.14 ((~((~v39(constB47)) | (~v9(constB47)))) | (~v9(constB47))),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31303, 31302])).
% 9.60/7.14 tff(31305,plain,
% 9.60/7.14 (~((~v39(constB47)) | (~v9(constB47)))),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31304, 31297])).
% 9.60/7.14 tff(31306,plain,
% 9.60/7.14 ((~(v141(constB47) <=> (~((~v39(constB47)) | (~v9(constB47)))))) | v141(constB47) | ((~v39(constB47)) | (~v9(constB47)))),
% 9.60/7.14 inference(tautology,[status(thm)],[])).
% 9.60/7.14 tff(31307,plain,
% 9.60/7.14 (v141(constB47)),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31306, 31305, 31257])).
% 9.60/7.14 tff(31308,plain,
% 9.60/7.14 ((v141(constB47) | v26(constB47)) | (~v141(constB47))),
% 9.60/7.14 inference(tautology,[status(thm)],[])).
% 9.60/7.14 tff(31309,plain,
% 9.60/7.14 (v141(constB47) | v26(constB47)),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31308, 31307])).
% 9.60/7.14 tff(31310,plain,
% 9.60/7.14 ((~(v140(constB47) <=> (v141(constB47) | v26(constB47)))) | v140(constB47) | (~(v141(constB47) | v26(constB47)))),
% 9.60/7.14 inference(tautology,[status(thm)],[])).
% 9.60/7.14 tff(31311,plain,
% 9.60/7.14 (v140(constB47)),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31310, 31309, 31255])).
% 9.60/7.14 tff(31312,plain,
% 9.60/7.14 ((~((~v139(constB47)) <=> v140(constB47))) | (~v139(constB47)) | (~v140(constB47))),
% 9.60/7.14 inference(tautology,[status(thm)],[])).
% 9.60/7.14 tff(31313,plain,
% 9.60/7.14 (~v139(constB47)),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31312, 31311, 31253])).
% 9.60/7.14 tff(31314,plain,
% 9.60/7.14 (((~v128(constB47)) | (~v139(constB47))) | v139(constB47)),
% 9.60/7.14 inference(tautology,[status(thm)],[])).
% 9.60/7.14 tff(31315,plain,
% 9.60/7.14 ((~v128(constB47)) | (~v139(constB47))),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31314, 31313])).
% 9.60/7.14 tff(31316,plain,
% 9.60/7.14 ((~(v163(constB47) <=> (~((~v128(constB47)) | (~v139(constB47)))))) | (~v163(constB47)) | (~((~v128(constB47)) | (~v139(constB47))))),
% 9.60/7.14 inference(tautology,[status(thm)],[])).
% 9.60/7.14 tff(31317,plain,
% 9.60/7.14 (~v163(constB47)),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31316, 31315, 31251])).
% 9.60/7.14 tff(31318,plain,
% 9.60/7.14 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB47) <=> (~((~v130(constB47)) | (~v154(constB47)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB47) <=> (~((~v130(constB47)) | (~v154(constB47))))))),
% 9.60/7.14 inference(rewrite,[status(thm)],[])).
% 9.60/7.14 tff(31319,plain,
% 9.60/7.14 ((v164(constB47) <=> (~((~v154(constB47)) | (~v130(constB47))))) <=> (v164(constB47) <=> (~((~v130(constB47)) | (~v154(constB47)))))),
% 9.60/7.14 inference(rewrite,[status(thm)],[])).
% 9.60/7.14 tff(31320,plain,
% 9.60/7.14 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB47) <=> (~((~v154(constB47)) | (~v130(constB47)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB47) <=> (~((~v130(constB47)) | (~v154(constB47))))))),
% 9.60/7.14 inference(monotonicity,[status(thm)],[31319])).
% 9.60/7.14 tff(31321,plain,
% 9.60/7.14 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB47) <=> (~((~v154(constB47)) | (~v130(constB47)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB47) <=> (~((~v130(constB47)) | (~v154(constB47))))))),
% 9.60/7.14 inference(transitivity,[status(thm)],[31320, 31318])).
% 9.60/7.14 tff(31322,plain,
% 9.60/7.14 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB47) <=> (~((~v154(constB47)) | (~v130(constB47)))))),
% 9.60/7.14 inference(quant_inst,[status(thm)],[])).
% 9.60/7.14 tff(31323,plain,
% 9.60/7.14 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB47) <=> (~((~v130(constB47)) | (~v154(constB47)))))),
% 9.60/7.14 inference(modus_ponens,[status(thm)],[31322, 31321])).
% 9.60/7.14 tff(31324,plain,
% 9.60/7.14 (v164(constB47) <=> (~((~v130(constB47)) | (~v154(constB47))))),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31323, 96])).
% 9.60/7.14 tff(31325,plain,
% 9.60/7.14 ((~![VarNext: $i] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB47) <=> v152(constB47))),
% 9.60/7.14 inference(quant_inst,[status(thm)],[])).
% 9.60/7.14 tff(31326,plain,
% 9.60/7.14 (v130(constB47) <=> v152(constB47)),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31325, 361])).
% 9.60/7.14 tff(31327,plain,
% 9.60/7.14 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB46, constB47)) | (v152(constB47) <=> v150(constB46)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB46, constB47)) | (v152(constB47) <=> v150(constB46)))),
% 9.60/7.14 inference(rewrite,[status(thm)],[])).
% 9.60/7.14 tff(31328,plain,
% 9.60/7.14 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB46, constB47)) | (v152(constB47) <=> v150(constB46)))),
% 9.60/7.14 inference(quant_inst,[status(thm)],[])).
% 9.60/7.14 tff(31329,plain,
% 9.60/7.14 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB46, constB47)) | (v152(constB47) <=> v150(constB46))),
% 9.60/7.14 inference(modus_ponens,[status(thm)],[31328, 31327])).
% 9.60/7.14 tff(31330,plain,
% 9.60/7.14 (v152(constB47) <=> v150(constB46)),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31329, 7627, 373])).
% 9.60/7.14 tff(31331,plain,
% 9.60/7.14 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v153(VarCurr) | v155(VarCurr)))) | (v150(constB46) <=> (v153(constB46) | v155(constB46)))),
% 9.60/7.14 inference(quant_inst,[status(thm)],[])).
% 9.60/7.14 tff(31332,plain,
% 9.60/7.14 (v150(constB46) <=> (v153(constB46) | v155(constB46))),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31331, 387])).
% 9.60/7.14 tff(31333,plain,
% 9.60/7.14 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB46) <=> (~((~v132(constB46)) | (~v154(constB46)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB46) <=> (~((~v132(constB46)) | (~v154(constB46))))))),
% 9.60/7.14 inference(rewrite,[status(thm)],[])).
% 9.60/7.14 tff(31334,plain,
% 9.60/7.14 ((v153(constB46) <=> (~((~v154(constB46)) | (~v132(constB46))))) <=> (v153(constB46) <=> (~((~v132(constB46)) | (~v154(constB46)))))),
% 9.60/7.14 inference(rewrite,[status(thm)],[])).
% 9.60/7.14 tff(31335,plain,
% 9.60/7.14 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB46) <=> (~((~v154(constB46)) | (~v132(constB46)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB46) <=> (~((~v132(constB46)) | (~v154(constB46))))))),
% 9.60/7.14 inference(monotonicity,[status(thm)],[31334])).
% 9.60/7.14 tff(31336,plain,
% 9.60/7.14 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB46) <=> (~((~v154(constB46)) | (~v132(constB46)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB46) <=> (~((~v132(constB46)) | (~v154(constB46))))))),
% 9.60/7.14 inference(transitivity,[status(thm)],[31335, 31333])).
% 9.60/7.14 tff(31337,plain,
% 9.60/7.14 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB46) <=> (~((~v154(constB46)) | (~v132(constB46)))))),
% 9.60/7.14 inference(quant_inst,[status(thm)],[])).
% 9.60/7.14 tff(31338,plain,
% 9.60/7.14 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB46) <=> (~((~v132(constB46)) | (~v154(constB46)))))),
% 9.60/7.14 inference(modus_ponens,[status(thm)],[31337, 31336])).
% 9.60/7.14 tff(31339,plain,
% 9.60/7.14 (v153(constB46) <=> (~((~v132(constB46)) | (~v154(constB46))))),
% 9.60/7.14 inference(unit_resolution,[status(thm)],[31338, 399])).
% 9.60/7.15 tff(31340,plain,
% 9.60/7.15 (((~v132(constB46)) | (~v154(constB46))) | v154(constB46)),
% 9.60/7.15 inference(tautology,[status(thm)],[])).
% 9.60/7.15 tff(31341,plain,
% 9.60/7.15 ((~v132(constB46)) | (~v154(constB46))),
% 9.60/7.15 inference(unit_resolution,[status(thm)],[31340, 29141])).
% 9.60/7.15 tff(31342,plain,
% 9.60/7.15 ((~(v153(constB46) <=> (~((~v132(constB46)) | (~v154(constB46)))))) | (~v153(constB46)) | (~((~v132(constB46)) | (~v154(constB46))))),
% 9.60/7.15 inference(tautology,[status(thm)],[])).
% 9.60/7.15 tff(31343,plain,
% 9.60/7.15 (~v153(constB46)),
% 9.60/7.15 inference(unit_resolution,[status(thm)],[31342, 31341, 31339])).
% 9.60/7.15 tff(31344,plain,
% 9.60/7.15 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB46) <=> (~((~v130(constB46)) | (~v139(constB46)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB46) <=> (~((~v130(constB46)) | (~v139(constB46))))))),
% 9.60/7.15 inference(rewrite,[status(thm)],[])).
% 9.60/7.15 tff(31345,plain,
% 9.60/7.15 ((v155(constB46) <=> (~((~v139(constB46)) | (~v130(constB46))))) <=> (v155(constB46) <=> (~((~v130(constB46)) | (~v139(constB46)))))),
% 9.60/7.15 inference(rewrite,[status(thm)],[])).
% 9.60/7.15 tff(31346,plain,
% 9.60/7.15 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB46) <=> (~((~v139(constB46)) | (~v130(constB46)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB46) <=> (~((~v130(constB46)) | (~v139(constB46))))))),
% 9.60/7.15 inference(monotonicity,[status(thm)],[31345])).
% 9.60/7.15 tff(31347,plain,
% 9.60/7.15 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB46) <=> (~((~v139(constB46)) | (~v130(constB46)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB46) <=> (~((~v130(constB46)) | (~v139(constB46))))))),
% 9.60/7.15 inference(transitivity,[status(thm)],[31346, 31344])).
% 9.60/7.15 tff(31348,plain,
% 9.60/7.15 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB46) <=> (~((~v139(constB46)) | (~v130(constB46)))))),
% 9.60/7.15 inference(quant_inst,[status(thm)],[])).
% 9.60/7.15 tff(31349,plain,
% 9.60/7.15 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB46) <=> (~((~v130(constB46)) | (~v139(constB46)))))),
% 9.60/7.15 inference(modus_ponens,[status(thm)],[31348, 31347])).
% 9.60/7.15 tff(31350,plain,
% 9.60/7.15 (v155(constB46) <=> (~((~v130(constB46)) | (~v139(constB46))))),
% 9.60/7.15 inference(unit_resolution,[status(thm)],[31349, 447])).
% 9.60/7.15 tff(31351,plain,
% 9.60/7.15 ((~![VarNext: $i] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB46) <=> v152(constB46))),
% 9.60/7.15 inference(quant_inst,[status(thm)],[])).
% 9.60/7.15 tff(31352,plain,
% 9.60/7.15 (v130(constB46) <=> v152(constB46)),
% 9.60/7.15 inference(unit_resolution,[status(thm)],[31351, 361])).
% 9.60/7.15 tff(31353,plain,
% 9.60/7.15 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB45, constB46)) | (v152(constB46) <=> v150(constB45)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB45, constB46)) | (v152(constB46) <=> v150(constB45)))),
% 9.60/7.15 inference(rewrite,[status(thm)],[])).
% 9.60/7.15 tff(31354,plain,
% 9.60/7.15 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB45, constB46)) | (v152(constB46) <=> v150(constB45)))),
% 9.60/7.15 inference(quant_inst,[status(thm)],[])).
% 9.60/7.15 tff(31355,plain,
% 9.60/7.15 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB45, constB46)) | (v152(constB46) <=> v150(constB45))),
% 9.60/7.15 inference(modus_ponens,[status(thm)],[31354, 31353])).
% 9.60/7.15 tff(31356,plain,
% 9.60/7.15 (v152(constB46) <=> v150(constB45)),
% 9.60/7.15 inference(unit_resolution,[status(thm)],[31355, 7659, 373])).
% 9.60/7.15 tff(31357,plain,
% 9.60/7.15 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v153(VarCurr) | v155(VarCurr)))) | (v150(constB45) <=> (v153(constB45) | v155(constB45)))),
% 9.60/7.15 inference(quant_inst,[status(thm)],[])).
% 9.60/7.15 tff(31358,plain,
% 9.60/7.15 (v150(constB45) <=> (v153(constB45) | v155(constB45))),
% 9.60/7.15 inference(unit_resolution,[status(thm)],[31357, 387])).
% 9.60/7.15 tff(31359,plain,
% 9.60/7.15 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB45) <=> (~((~v130(constB45)) | (~v139(constB45)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB45) <=> (~((~v130(constB45)) | (~v139(constB45))))))),
% 9.60/7.15 inference(rewrite,[status(thm)],[])).
% 9.60/7.15 tff(31360,plain,
% 9.60/7.15 ((v155(constB45) <=> (~((~v139(constB45)) | (~v130(constB45))))) <=> (v155(constB45) <=> (~((~v130(constB45)) | (~v139(constB45)))))),
% 9.60/7.15 inference(rewrite,[status(thm)],[])).
% 9.60/7.15 tff(31361,plain,
% 9.60/7.15 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB45) <=> (~((~v139(constB45)) | (~v130(constB45)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB45) <=> (~((~v130(constB45)) | (~v139(constB45))))))),
% 9.60/7.15 inference(monotonicity,[status(thm)],[31360])).
% 9.60/7.15 tff(31362,plain,
% 9.60/7.15 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB45) <=> (~((~v139(constB45)) | (~v130(constB45)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB45) <=> (~((~v130(constB45)) | (~v139(constB45))))))),
% 9.60/7.15 inference(transitivity,[status(thm)],[31361, 31359])).
% 9.60/7.15 tff(31363,plain,
% 9.60/7.15 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB45) <=> (~((~v139(constB45)) | (~v130(constB45)))))),
% 9.60/7.15 inference(quant_inst,[status(thm)],[])).
% 9.60/7.15 tff(31364,plain,
% 9.60/7.15 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB45) <=> (~((~v130(constB45)) | (~v139(constB45)))))),
% 9.60/7.15 inference(modus_ponens,[status(thm)],[31363, 31362])).
% 9.60/7.15 tff(31365,plain,
% 9.60/7.15 (v155(constB45) <=> (~((~v130(constB45)) | (~v139(constB45))))),
% 9.60/7.15 inference(unit_resolution,[status(thm)],[31364, 447])).
% 9.60/7.15 tff(31366,plain,
% 9.60/7.15 (((~v130(constB45)) | (~v139(constB45))) | v139(constB45)),
% 9.60/7.15 inference(tautology,[status(thm)],[])).
% 9.60/7.15 tff(31367,plain,
% 9.60/7.15 ((~v130(constB45)) | (~v139(constB45))),
% 9.60/7.15 inference(unit_resolution,[status(thm)],[31366, 29229])).
% 9.60/7.15 tff(31368,plain,
% 9.60/7.15 ((~(v155(constB45) <=> (~((~v130(constB45)) | (~v139(constB45)))))) | (~v155(constB45)) | (~((~v130(constB45)) | (~v139(constB45))))),
% 9.60/7.15 inference(tautology,[status(thm)],[])).
% 9.60/7.15 tff(31369,plain,
% 9.60/7.15 (~v155(constB45)),
% 9.60/7.15 inference(unit_resolution,[status(thm)],[31368, 31367, 31365])).
% 9.60/7.15 tff(31370,plain,
% 9.60/7.15 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB45) <=> (~((~v132(constB45)) | (~v154(constB45)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB45) <=> (~((~v132(constB45)) | (~v154(constB45))))))),
% 9.60/7.15 inference(rewrite,[status(thm)],[])).
% 9.60/7.15 tff(31371,plain,
% 9.60/7.15 ((v153(constB45) <=> (~((~v154(constB45)) | (~v132(constB45))))) <=> (v153(constB45) <=> (~((~v132(constB45)) | (~v154(constB45)))))),
% 9.60/7.15 inference(rewrite,[status(thm)],[])).
% 9.60/7.15 tff(31372,plain,
% 9.60/7.15 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB45) <=> (~((~v154(constB45)) | (~v132(constB45)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB45) <=> (~((~v132(constB45)) | (~v154(constB45))))))),
% 9.60/7.15 inference(monotonicity,[status(thm)],[31371])).
% 9.60/7.15 tff(31373,plain,
% 9.60/7.15 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB45) <=> (~((~v154(constB45)) | (~v132(constB45)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB45) <=> (~((~v132(constB45)) | (~v154(constB45))))))),
% 9.60/7.15 inference(transitivity,[status(thm)],[31372, 31370])).
% 9.60/7.15 tff(31374,plain,
% 9.60/7.15 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB45) <=> (~((~v154(constB45)) | (~v132(constB45)))))),
% 9.60/7.15 inference(quant_inst,[status(thm)],[])).
% 9.60/7.15 tff(31375,plain,
% 9.60/7.15 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB45) <=> (~((~v132(constB45)) | (~v154(constB45)))))),
% 9.60/7.15 inference(modus_ponens,[status(thm)],[31374, 31373])).
% 9.60/7.15 tff(31376,plain,
% 9.60/7.15 (v153(constB45) <=> (~((~v132(constB45)) | (~v154(constB45))))),
% 9.60/7.15 inference(unit_resolution,[status(thm)],[31375, 399])).
% 9.60/7.15 tff(31377,plain,
% 9.60/7.15 ((~![VarNext: $i] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB45) <=> v137(constB45))),
% 9.60/7.15 inference(quant_inst,[status(thm)],[])).
% 9.60/7.15 tff(31378,plain,
% 9.60/7.15 (v132(constB45) <=> v137(constB45)),
% 9.60/7.15 inference(unit_resolution,[status(thm)],[31377, 558])).
% 9.60/7.15 tff(31379,plain,
% 9.60/7.15 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB44, constB45)) | (v137(constB45) <=> v135(constB44)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB44, constB45)) | (v137(constB45) <=> v135(constB44)))),
% 9.60/7.15 inference(rewrite,[status(thm)],[])).
% 9.60/7.15 tff(31380,plain,
% 9.60/7.15 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB44, constB45)) | (v137(constB45) <=> v135(constB44)))),
% 9.60/7.15 inference(quant_inst,[status(thm)],[])).
% 9.60/7.15 tff(31381,plain,
% 9.60/7.15 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB44, constB45)) | (v137(constB45) <=> v135(constB44))),
% 9.60/7.15 inference(modus_ponens,[status(thm)],[31380, 31379])).
% 9.60/7.15 tff(31382,plain,
% 9.60/7.15 (v137(constB45) <=> v135(constB44)),
% 9.60/7.15 inference(unit_resolution,[status(thm)],[31381, 7718, 570])).
% 9.60/7.15 tff(31383,plain,
% 9.60/7.15 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB44) <=> (v138(constB44) | v142(constB44)))),
% 9.60/7.15 inference(quant_inst,[status(thm)],[])).
% 9.60/7.15 tff(31384,plain,
% 9.60/7.15 (v135(constB44) <=> (v138(constB44) | v142(constB44))),
% 9.60/7.15 inference(unit_resolution,[status(thm)],[31383, 584])).
% 9.60/7.15 tff(31385,plain,
% 9.60/7.15 ((~![VarCurr: $i] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB44) <=> (~((~v143(constB44)) | (~v144(constB44)))))),
% 9.60/7.15 inference(quant_inst,[status(thm)],[])).
% 9.60/7.15 tff(31386,plain,
% 9.60/7.15 (v142(constB44) <=> (~((~v143(constB44)) | (~v144(constB44))))),
% 9.60/7.15 inference(unit_resolution,[status(thm)],[31385, 596])).
% 9.60/7.15 tff(31387,plain,
% 9.60/7.15 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB44) <=> (~((~v141(constB44)) | (~v145(constB44)))))),
% 9.60/7.15 inference(quant_inst,[status(thm)],[])).
% 9.60/7.15 tff(31388,plain,
% 9.60/7.15 (v144(constB44) <=> (~((~v141(constB44)) | (~v145(constB44))))),
% 9.60/7.15 inference(unit_resolution,[status(thm)],[31387, 608])).
% 9.60/7.15 tff(31389,plain,
% 9.60/7.15 (((~v141(constB44)) | (~v145(constB44))) | v141(constB44)),
% 9.60/7.15 inference(tautology,[status(thm)],[])).
% 9.60/7.15 tff(31390,plain,
% 9.60/7.15 ((~v141(constB44)) | (~v145(constB44))),
% 9.60/7.15 inference(unit_resolution,[status(thm)],[31389, 29274])).
% 9.60/7.15 tff(31391,plain,
% 9.60/7.15 ((~(v144(constB44) <=> (~((~v141(constB44)) | (~v145(constB44)))))) | (~v144(constB44)) | (~((~v141(constB44)) | (~v145(constB44))))),
% 9.60/7.15 inference(tautology,[status(thm)],[])).
% 9.60/7.15 tff(31392,plain,
% 9.60/7.15 ((~(v144(constB44) <=> (~((~v141(constB44)) | (~v145(constB44)))))) | (~v144(constB44))),
% 9.60/7.15 inference(unit_resolution,[status(thm)],[31391, 31390])).
% 9.60/7.15 tff(31393,plain,
% 9.60/7.15 (~v144(constB44)),
% 9.60/7.15 inference(unit_resolution,[status(thm)],[31392, 31388])).
% 9.60/7.15 tff(31394,plain,
% 9.60/7.15 (((~v143(constB44)) | (~v144(constB44))) | v144(constB44)),
% 9.60/7.15 inference(tautology,[status(thm)],[])).
% 9.60/7.15 tff(31395,plain,
% 9.60/7.15 ((~v143(constB44)) | (~v144(constB44))),
% 9.60/7.15 inference(unit_resolution,[status(thm)],[31394, 31393])).
% 9.60/7.15 tff(31396,plain,
% 9.60/7.15 ((~(v142(constB44) <=> (~((~v143(constB44)) | (~v144(constB44)))))) | (~v142(constB44)) | (~((~v143(constB44)) | (~v144(constB44))))),
% 9.60/7.15 inference(tautology,[status(thm)],[])).
% 9.60/7.15 tff(31397,plain,
% 9.60/7.15 (~v142(constB44)),
% 9.60/7.15 inference(unit_resolution,[status(thm)],[31396, 31395, 31386])).
% 9.60/7.15 tff(31398,plain,
% 9.60/7.15 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB44) <=> (~((~v132(constB44)) | (~v139(constB44)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB44) <=> (~((~v132(constB44)) | (~v139(constB44))))))),
% 9.60/7.15 inference(rewrite,[status(thm)],[])).
% 9.60/7.15 tff(31399,plain,
% 9.60/7.15 ((v138(constB44) <=> (~((~v139(constB44)) | (~v132(constB44))))) <=> (v138(constB44) <=> (~((~v132(constB44)) | (~v139(constB44)))))),
% 9.60/7.15 inference(rewrite,[status(thm)],[])).
% 9.60/7.15 tff(31400,plain,
% 9.60/7.15 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB44) <=> (~((~v139(constB44)) | (~v132(constB44)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB44) <=> (~((~v132(constB44)) | (~v139(constB44))))))),
% 9.60/7.15 inference(monotonicity,[status(thm)],[31399])).
% 9.60/7.15 tff(31401,plain,
% 9.60/7.15 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB44) <=> (~((~v139(constB44)) | (~v132(constB44)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB44) <=> (~((~v132(constB44)) | (~v139(constB44))))))),
% 9.60/7.15 inference(transitivity,[status(thm)],[31400, 31398])).
% 9.60/7.15 tff(31402,plain,
% 9.60/7.15 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB44) <=> (~((~v139(constB44)) | (~v132(constB44)))))),
% 9.60/7.15 inference(quant_inst,[status(thm)],[])).
% 9.60/7.15 tff(31403,plain,
% 9.60/7.15 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB44) <=> (~((~v132(constB44)) | (~v139(constB44)))))),
% 9.60/7.15 inference(modus_ponens,[status(thm)],[31402, 31401])).
% 9.60/7.15 tff(31404,plain,
% 9.60/7.15 (v138(constB44) <=> (~((~v132(constB44)) | (~v139(constB44))))),
% 9.60/7.15 inference(unit_resolution,[status(thm)],[31403, 644])).
% 9.60/7.15 tff(31405,plain,
% 9.60/7.15 ((~![VarNext: $i] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB44) <=> v137(constB44))),
% 9.60/7.15 inference(quant_inst,[status(thm)],[])).
% 9.60/7.15 tff(31406,plain,
% 9.60/7.15 (v132(constB44) <=> v137(constB44)),
% 9.60/7.15 inference(unit_resolution,[status(thm)],[31405, 558])).
% 9.60/7.15 tff(31407,plain,
% 9.60/7.15 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB43, constB44)) | (v137(constB44) <=> v135(constB43)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB43, constB44)) | (v137(constB44) <=> v135(constB43)))),
% 9.60/7.15 inference(rewrite,[status(thm)],[])).
% 9.60/7.15 tff(31408,plain,
% 9.60/7.15 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB43, constB44)) | (v137(constB44) <=> v135(constB43)))),
% 9.60/7.15 inference(quant_inst,[status(thm)],[])).
% 9.60/7.15 tff(31409,plain,
% 9.60/7.15 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB43, constB44)) | (v137(constB44) <=> v135(constB43))),
% 9.60/7.15 inference(modus_ponens,[status(thm)],[31408, 31407])).
% 9.60/7.15 tff(31410,plain,
% 9.60/7.15 (v137(constB44) <=> v135(constB43)),
% 9.60/7.15 inference(unit_resolution,[status(thm)],[31409, 7750, 570])).
% 9.60/7.15 tff(31411,plain,
% 9.60/7.15 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB43) <=> (v138(constB43) | v142(constB43)))),
% 9.60/7.15 inference(quant_inst,[status(thm)],[])).
% 9.60/7.15 tff(31412,plain,
% 9.60/7.15 (v135(constB43) <=> (v138(constB43) | v142(constB43))),
% 9.60/7.15 inference(unit_resolution,[status(thm)],[31411, 584])).
% 9.60/7.15 tff(31413,plain,
% 9.60/7.15 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB43) <=> (~((~v132(constB43)) | (~v139(constB43)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB43) <=> (~((~v132(constB43)) | (~v139(constB43))))))),
% 9.60/7.15 inference(rewrite,[status(thm)],[])).
% 9.60/7.15 tff(31414,plain,
% 9.60/7.15 ((v138(constB43) <=> (~((~v139(constB43)) | (~v132(constB43))))) <=> (v138(constB43) <=> (~((~v132(constB43)) | (~v139(constB43)))))),
% 9.60/7.15 inference(rewrite,[status(thm)],[])).
% 9.60/7.15 tff(31415,plain,
% 9.60/7.15 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB43) <=> (~((~v139(constB43)) | (~v132(constB43)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB43) <=> (~((~v132(constB43)) | (~v139(constB43))))))),
% 9.60/7.15 inference(monotonicity,[status(thm)],[31414])).
% 9.60/7.15 tff(31416,plain,
% 9.60/7.15 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB43) <=> (~((~v139(constB43)) | (~v132(constB43)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB43) <=> (~((~v132(constB43)) | (~v139(constB43))))))),
% 9.60/7.15 inference(transitivity,[status(thm)],[31415, 31413])).
% 9.60/7.15 tff(31417,plain,
% 9.60/7.15 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB43) <=> (~((~v139(constB43)) | (~v132(constB43)))))),
% 9.60/7.15 inference(quant_inst,[status(thm)],[])).
% 9.60/7.15 tff(31418,plain,
% 9.60/7.15 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB43) <=> (~((~v132(constB43)) | (~v139(constB43)))))),
% 9.60/7.15 inference(modus_ponens,[status(thm)],[31417, 31416])).
% 9.60/7.15 tff(31419,plain,
% 9.60/7.15 (v138(constB43) <=> (~((~v132(constB43)) | (~v139(constB43))))),
% 9.60/7.15 inference(unit_resolution,[status(thm)],[31418, 644])).
% 9.60/7.15 tff(31420,plain,
% 9.60/7.15 (((~v132(constB43)) | (~v139(constB43))) | v139(constB43)),
% 9.60/7.15 inference(tautology,[status(thm)],[])).
% 9.60/7.15 tff(31421,plain,
% 9.60/7.15 ((~v132(constB43)) | (~v139(constB43))),
% 9.60/7.15 inference(unit_resolution,[status(thm)],[31420, 29367])).
% 9.60/7.15 tff(31422,plain,
% 9.60/7.15 ((~(v138(constB43) <=> (~((~v132(constB43)) | (~v139(constB43)))))) | (~v138(constB43)) | (~((~v132(constB43)) | (~v139(constB43))))),
% 9.60/7.15 inference(tautology,[status(thm)],[])).
% 9.60/7.15 tff(31423,plain,
% 9.60/7.15 (~v138(constB43)),
% 9.60/7.15 inference(unit_resolution,[status(thm)],[31422, 31421, 31419])).
% 9.60/7.15 tff(31424,plain,
% 9.60/7.15 ((~![VarCurr: $i] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB43) <=> (~((~v143(constB43)) | (~v144(constB43)))))),
% 9.60/7.15 inference(quant_inst,[status(thm)],[])).
% 9.60/7.15 tff(31425,plain,
% 9.60/7.15 (v142(constB43) <=> (~((~v143(constB43)) | (~v144(constB43))))),
% 9.60/7.15 inference(unit_resolution,[status(thm)],[31424, 596])).
% 9.60/7.15 tff(31426,plain,
% 9.60/7.15 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB43) <=> (~((~v141(constB43)) | (~v145(constB43)))))),
% 9.60/7.15 inference(quant_inst,[status(thm)],[])).
% 9.60/7.15 tff(31427,plain,
% 9.60/7.15 (v144(constB43) <=> (~((~v141(constB43)) | (~v145(constB43))))),
% 9.60/7.15 inference(unit_resolution,[status(thm)],[31426, 608])).
% 9.60/7.15 tff(31428,plain,
% 9.60/7.15 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB43) <=> (~(v84(constB43, bitIndex2) | v84(constB43, bitIndex1) | (~v84(constB43, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB43) <=> (~(v84(constB43, bitIndex2) | v84(constB43, bitIndex1) | (~v84(constB43, bitIndex0))))))),
% 9.60/7.15 inference(rewrite,[status(thm)],[])).
% 9.60/7.15 tff(31429,plain,
% 9.60/7.15 ((v145(constB43) <=> (~(v84(constB43, bitIndex1) | v84(constB43, bitIndex2) | (~v84(constB43, bitIndex0))))) <=> (v145(constB43) <=> (~(v84(constB43, bitIndex2) | v84(constB43, bitIndex1) | (~v84(constB43, bitIndex0)))))),
% 9.60/7.15 inference(rewrite,[status(thm)],[])).
% 9.60/7.15 tff(31430,plain,
% 9.60/7.15 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB43) <=> (~(v84(constB43, bitIndex1) | v84(constB43, bitIndex2) | (~v84(constB43, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB43) <=> (~(v84(constB43, bitIndex2) | v84(constB43, bitIndex1) | (~v84(constB43, bitIndex0))))))),
% 9.60/7.15 inference(monotonicity,[status(thm)],[31429])).
% 9.60/7.15 tff(31431,plain,
% 9.60/7.15 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB43) <=> (~(v84(constB43, bitIndex1) | v84(constB43, bitIndex2) | (~v84(constB43, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB43) <=> (~(v84(constB43, bitIndex2) | v84(constB43, bitIndex1) | (~v84(constB43, bitIndex0))))))),
% 9.60/7.15 inference(transitivity,[status(thm)],[31430, 31428])).
% 9.60/7.15 tff(31432,plain,
% 9.60/7.15 ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB43) <=> (~(v84(constB43, bitIndex1) | v84(constB43, bitIndex2) | (~v84(constB43, bitIndex0)))))),
% 9.60/7.15 inference(quant_inst,[status(thm)],[])).
% 9.60/7.15 tff(31433,plain,
% 9.60/7.15 ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB43) <=> (~(v84(constB43, bitIndex2) | v84(constB43, bitIndex1) | (~v84(constB43, bitIndex0)))))),
% 9.60/7.15 inference(modus_ponens,[status(thm)],[31432, 31431])).
% 9.60/7.15 tff(31434,plain,
% 9.60/7.15 (v145(constB43) <=> (~(v84(constB43, bitIndex2) | v84(constB43, bitIndex1) | (~v84(constB43, bitIndex0))))),
% 9.60/7.15 inference(unit_resolution,[status(thm)],[31433, 755])).
% 9.60/7.15 tff(31435,plain,
% 9.60/7.15 ((v84(constB43, bitIndex2) | v84(constB43, bitIndex1) | (~v84(constB43, bitIndex0))) | (~v84(constB43, bitIndex1))),
% 9.60/7.15 inference(tautology,[status(thm)],[])).
% 9.60/7.15 tff(31436,plain,
% 9.60/7.15 (v84(constB43, bitIndex2) | v84(constB43, bitIndex1) | (~v84(constB43, bitIndex0))),
% 9.60/7.15 inference(unit_resolution,[status(thm)],[31435, 13415])).
% 9.60/7.15 tff(31437,plain,
% 9.60/7.15 ((~(v145(constB43) <=> (~(v84(constB43, bitIndex2) | v84(constB43, bitIndex1) | (~v84(constB43, bitIndex0)))))) | (~v145(constB43)) | (~(v84(constB43, bitIndex2) | v84(constB43, bitIndex1) | (~v84(constB43, bitIndex0))))),
% 9.60/7.15 inference(tautology,[status(thm)],[])).
% 9.60/7.15 tff(31438,plain,
% 9.60/7.15 (~v145(constB43)),
% 9.60/7.15 inference(unit_resolution,[status(thm)],[31437, 31436, 31434])).
% 9.60/7.15 tff(31439,plain,
% 9.60/7.15 (((~v141(constB43)) | (~v145(constB43))) | v145(constB43)),
% 9.60/7.15 inference(tautology,[status(thm)],[])).
% 9.60/7.15 tff(31440,plain,
% 9.60/7.15 ((~v141(constB43)) | (~v145(constB43))),
% 9.60/7.15 inference(unit_resolution,[status(thm)],[31439, 31438])).
% 9.60/7.15 tff(31441,plain,
% 9.60/7.15 ((~(v144(constB43) <=> (~((~v141(constB43)) | (~v145(constB43)))))) | (~v144(constB43)) | (~((~v141(constB43)) | (~v145(constB43))))),
% 9.60/7.15 inference(tautology,[status(thm)],[])).
% 9.60/7.15 tff(31442,plain,
% 9.60/7.15 (~v144(constB43)),
% 9.60/7.15 inference(unit_resolution,[status(thm)],[31441, 31440, 31427])).
% 9.60/7.15 tff(31443,plain,
% 9.60/7.15 (((~v143(constB43)) | (~v144(constB43))) | v144(constB43)),
% 9.60/7.15 inference(tautology,[status(thm)],[])).
% 9.60/7.15 tff(31444,plain,
% 9.60/7.15 ((~v143(constB43)) | (~v144(constB43))),
% 9.60/7.15 inference(unit_resolution,[status(thm)],[31443, 31442])).
% 9.60/7.15 tff(31445,plain,
% 9.60/7.15 ((~(v142(constB43) <=> (~((~v143(constB43)) | (~v144(constB43)))))) | (~v142(constB43)) | (~((~v143(constB43)) | (~v144(constB43))))),
% 9.60/7.15 inference(tautology,[status(thm)],[])).
% 9.60/7.15 tff(31446,plain,
% 9.60/7.15 (~v142(constB43)),
% 9.60/7.15 inference(unit_resolution,[status(thm)],[31445, 31444, 31425])).
% 9.60/7.15 tff(31447,plain,
% 9.60/7.15 ((~(v138(constB43) | v142(constB43))) | v138(constB43) | v142(constB43)),
% 9.60/7.15 inference(tautology,[status(thm)],[])).
% 9.60/7.15 tff(31448,plain,
% 9.60/7.15 (~(v138(constB43) | v142(constB43))),
% 9.60/7.15 inference(unit_resolution,[status(thm)],[31447, 31446, 31423])).
% 9.60/7.15 tff(31449,plain,
% 9.60/7.15 ((~(v135(constB43) <=> (v138(constB43) | v142(constB43)))) | (~v135(constB43)) | (v138(constB43) | v142(constB43))),
% 9.60/7.15 inference(tautology,[status(thm)],[])).
% 9.60/7.15 tff(31450,plain,
% 9.60/7.15 (~v135(constB43)),
% 9.60/7.15 inference(unit_resolution,[status(thm)],[31449, 31448, 31412])).
% 9.60/7.15 tff(31451,plain,
% 9.60/7.15 ((~(v137(constB44) <=> v135(constB43))) | (~v137(constB44)) | v135(constB43)),
% 9.60/7.15 inference(tautology,[status(thm)],[])).
% 9.60/7.15 tff(31452,plain,
% 9.60/7.15 (~v137(constB44)),
% 9.60/7.15 inference(unit_resolution,[status(thm)],[31451, 31450, 31410])).
% 9.60/7.15 tff(31453,plain,
% 9.60/7.15 ((~(v132(constB44) <=> v137(constB44))) | (~v132(constB44)) | v137(constB44)),
% 9.60/7.15 inference(tautology,[status(thm)],[])).
% 9.60/7.15 tff(31454,plain,
% 9.60/7.15 (~v132(constB44)),
% 9.60/7.15 inference(unit_resolution,[status(thm)],[31453, 31452, 31406])).
% 9.60/7.15 tff(31455,plain,
% 9.60/7.15 (((~v132(constB44)) | (~v139(constB44))) | v132(constB44)),
% 9.60/7.15 inference(tautology,[status(thm)],[])).
% 9.60/7.15 tff(31456,plain,
% 9.60/7.15 ((~v132(constB44)) | (~v139(constB44))),
% 9.60/7.15 inference(unit_resolution,[status(thm)],[31455, 31454])).
% 9.60/7.15 tff(31457,plain,
% 9.60/7.15 ((~(v138(constB44) <=> (~((~v132(constB44)) | (~v139(constB44)))))) | (~v138(constB44)) | (~((~v132(constB44)) | (~v139(constB44))))),
% 9.60/7.15 inference(tautology,[status(thm)],[])).
% 9.60/7.15 tff(31458,plain,
% 9.60/7.15 (~v138(constB44)),
% 9.60/7.15 inference(unit_resolution,[status(thm)],[31457, 31456, 31404])).
% 9.60/7.15 tff(31459,plain,
% 9.60/7.15 ((~(v138(constB44) | v142(constB44))) | v138(constB44) | v142(constB44)),
% 9.60/7.15 inference(tautology,[status(thm)],[])).
% 9.60/7.15 tff(31460,plain,
% 9.60/7.15 (~(v138(constB44) | v142(constB44))),
% 9.60/7.15 inference(unit_resolution,[status(thm)],[31459, 31458, 31397])).
% 9.60/7.15 tff(31461,plain,
% 9.60/7.15 ((~(v135(constB44) <=> (v138(constB44) | v142(constB44)))) | (~v135(constB44)) | (v138(constB44) | v142(constB44))),
% 9.60/7.15 inference(tautology,[status(thm)],[])).
% 9.60/7.15 tff(31462,plain,
% 9.60/7.15 (~v135(constB44)),
% 9.60/7.15 inference(unit_resolution,[status(thm)],[31461, 31460, 31384])).
% 9.60/7.15 tff(31463,plain,
% 9.60/7.15 ((~(v137(constB45) <=> v135(constB44))) | (~v137(constB45)) | v135(constB44)),
% 9.60/7.15 inference(tautology,[status(thm)],[])).
% 9.60/7.15 tff(31464,plain,
% 9.60/7.15 (~v137(constB45)),
% 9.60/7.15 inference(unit_resolution,[status(thm)],[31463, 31462, 31382])).
% 9.60/7.15 tff(31465,plain,
% 9.60/7.15 ((~(v132(constB45) <=> v137(constB45))) | (~v132(constB45)) | v137(constB45)),
% 9.60/7.15 inference(tautology,[status(thm)],[])).
% 9.60/7.15 tff(31466,plain,
% 9.60/7.15 (~v132(constB45)),
% 9.60/7.15 inference(unit_resolution,[status(thm)],[31465, 31464, 31378])).
% 9.60/7.15 tff(31467,plain,
% 9.60/7.15 (((~v132(constB45)) | (~v154(constB45))) | v132(constB45)),
% 9.60/7.15 inference(tautology,[status(thm)],[])).
% 9.60/7.15 tff(31468,plain,
% 9.60/7.15 ((~v132(constB45)) | (~v154(constB45))),
% 9.60/7.15 inference(unit_resolution,[status(thm)],[31467, 31466])).
% 9.60/7.15 tff(31469,plain,
% 9.60/7.15 ((~(v153(constB45) <=> (~((~v132(constB45)) | (~v154(constB45)))))) | (~v153(constB45)) | (~((~v132(constB45)) | (~v154(constB45))))),
% 9.60/7.15 inference(tautology,[status(thm)],[])).
% 9.60/7.15 tff(31470,plain,
% 9.60/7.15 (~v153(constB45)),
% 9.60/7.15 inference(unit_resolution,[status(thm)],[31469, 31468, 31376])).
% 9.60/7.15 tff(31471,plain,
% 9.60/7.15 ((~(v153(constB45) | v155(constB45))) | v153(constB45) | v155(constB45)),
% 9.60/7.15 inference(tautology,[status(thm)],[])).
% 9.60/7.15 tff(31472,plain,
% 9.60/7.15 (~(v153(constB45) | v155(constB45))),
% 9.60/7.15 inference(unit_resolution,[status(thm)],[31471, 31470, 31369])).
% 9.60/7.15 tff(31473,plain,
% 9.60/7.15 ((~(v150(constB45) <=> (v153(constB45) | v155(constB45)))) | (~v150(constB45)) | (v153(constB45) | v155(constB45))),
% 9.60/7.15 inference(tautology,[status(thm)],[])).
% 9.60/7.15 tff(31474,plain,
% 9.60/7.15 (~v150(constB45)),
% 9.60/7.15 inference(unit_resolution,[status(thm)],[31473, 31472, 31358])).
% 9.60/7.15 tff(31475,plain,
% 9.60/7.15 ((~(v152(constB46) <=> v150(constB45))) | (~v152(constB46)) | v150(constB45)),
% 9.60/7.15 inference(tautology,[status(thm)],[])).
% 9.60/7.15 tff(31476,plain,
% 9.60/7.15 (~v152(constB46)),
% 9.60/7.15 inference(unit_resolution,[status(thm)],[31475, 31474, 31356])).
% 9.60/7.15 tff(31477,plain,
% 9.60/7.15 ((~(v130(constB46) <=> v152(constB46))) | (~v130(constB46)) | v152(constB46)),
% 9.60/7.15 inference(tautology,[status(thm)],[])).
% 9.60/7.15 tff(31478,plain,
% 9.60/7.15 (~v130(constB46)),
% 9.60/7.15 inference(unit_resolution,[status(thm)],[31477, 31476, 31352])).
% 9.60/7.15 tff(31479,plain,
% 9.60/7.15 (((~v130(constB46)) | (~v139(constB46))) | v130(constB46)),
% 9.60/7.15 inference(tautology,[status(thm)],[])).
% 9.60/7.15 tff(31480,plain,
% 9.60/7.15 ((~v130(constB46)) | (~v139(constB46))),
% 9.60/7.15 inference(unit_resolution,[status(thm)],[31479, 31478])).
% 9.60/7.15 tff(31481,plain,
% 9.60/7.15 ((~(v155(constB46) <=> (~((~v130(constB46)) | (~v139(constB46)))))) | (~v155(constB46)) | (~((~v130(constB46)) | (~v139(constB46))))),
% 9.60/7.15 inference(tautology,[status(thm)],[])).
% 9.60/7.15 tff(31482,plain,
% 9.60/7.15 (~v155(constB46)),
% 9.60/7.15 inference(unit_resolution,[status(thm)],[31481, 31480, 31350])).
% 9.60/7.15 tff(31483,plain,
% 9.60/7.15 ((~(v153(constB46) | v155(constB46))) | v153(constB46) | v155(constB46)),
% 9.60/7.15 inference(tautology,[status(thm)],[])).
% 9.60/7.15 tff(31484,plain,
% 9.60/7.15 (~(v153(constB46) | v155(constB46))),
% 9.60/7.15 inference(unit_resolution,[status(thm)],[31483, 31482, 31343])).
% 9.60/7.15 tff(31485,plain,
% 9.60/7.15 ((~(v150(constB46) <=> (v153(constB46) | v155(constB46)))) | (~v150(constB46)) | (v153(constB46) | v155(constB46))),
% 9.60/7.15 inference(tautology,[status(thm)],[])).
% 9.60/7.15 tff(31486,plain,
% 9.60/7.15 (~v150(constB46)),
% 9.60/7.15 inference(unit_resolution,[status(thm)],[31485, 31484, 31332])).
% 9.60/7.15 tff(31487,plain,
% 9.60/7.15 ((~(v152(constB47) <=> v150(constB46))) | (~v152(constB47)) | v150(constB46)),
% 9.60/7.15 inference(tautology,[status(thm)],[])).
% 9.60/7.15 tff(31488,plain,
% 9.60/7.15 (~v152(constB47)),
% 9.60/7.15 inference(unit_resolution,[status(thm)],[31487, 31486, 31330])).
% 9.60/7.15 tff(31489,plain,
% 9.60/7.15 ((~(v130(constB47) <=> v152(constB47))) | (~v130(constB47)) | v152(constB47)),
% 9.60/7.15 inference(tautology,[status(thm)],[])).
% 9.60/7.15 tff(31490,plain,
% 9.60/7.15 (~v130(constB47)),
% 9.60/7.15 inference(unit_resolution,[status(thm)],[31489, 31488, 31326])).
% 9.60/7.15 tff(31491,plain,
% 9.60/7.15 (((~v130(constB47)) | (~v154(constB47))) | v130(constB47)),
% 9.60/7.15 inference(tautology,[status(thm)],[])).
% 9.60/7.15 tff(31492,plain,
% 9.60/7.15 ((~v130(constB47)) | (~v154(constB47))),
% 9.60/7.15 inference(unit_resolution,[status(thm)],[31491, 31490])).
% 9.60/7.15 tff(31493,plain,
% 9.60/7.15 ((~(v164(constB47) <=> (~((~v130(constB47)) | (~v154(constB47)))))) | (~v164(constB47)) | (~((~v130(constB47)) | (~v154(constB47))))),
% 9.60/7.15 inference(tautology,[status(thm)],[])).
% 9.60/7.15 tff(31494,plain,
% 9.60/7.15 (~v164(constB47)),
% 9.60/7.15 inference(unit_resolution,[status(thm)],[31493, 31492, 31324])).
% 9.60/7.15 tff(31495,plain,
% 9.60/7.15 ((~(v163(constB47) | v164(constB47))) | v163(constB47) | v164(constB47)),
% 9.60/7.15 inference(tautology,[status(thm)],[])).
% 9.60/7.15 tff(31496,plain,
% 9.60/7.15 (~(v163(constB47) | v164(constB47))),
% 9.60/7.15 inference(unit_resolution,[status(thm)],[31495, 31494, 31317])).
% 9.60/7.15 tff(31497,plain,
% 9.60/7.15 ((~(v160(constB47) <=> (v163(constB47) | v164(constB47)))) | (~v160(constB47)) | (v163(constB47) | v164(constB47))),
% 9.60/7.15 inference(tautology,[status(thm)],[])).
% 9.60/7.15 tff(31498,plain,
% 9.60/7.15 (~v160(constB47)),
% 9.60/7.15 inference(unit_resolution,[status(thm)],[31497, 31496, 31244])).
% 9.60/7.15 tff(31499,plain,
% 9.60/7.15 ((~(v162(constB48) <=> v160(constB47))) | (~v162(constB48)) | v160(constB47)),
% 9.60/7.15 inference(tautology,[status(thm)],[])).
% 9.60/7.15 tff(31500,plain,
% 9.60/7.15 (~v162(constB48)),
% 9.60/7.15 inference(unit_resolution,[status(thm)],[31499, 31498, 31242])).
% 9.60/7.15 tff(31501,plain,
% 9.60/7.15 ((~(v128(constB48) <=> v162(constB48))) | (~v128(constB48)) | v162(constB48)),
% 9.60/7.15 inference(tautology,[status(thm)],[])).
% 9.60/7.15 tff(31502,plain,
% 9.60/7.15 (~v128(constB48)),
% 9.60/7.15 inference(unit_resolution,[status(thm)],[31501, 31500, 31238])).
% 9.60/7.15 tff(31503,plain,
% 9.60/7.15 (((~v128(constB48)) | (~v139(constB48))) | v128(constB48)),
% 9.60/7.15 inference(tautology,[status(thm)],[])).
% 9.60/7.15 tff(31504,plain,
% 9.60/7.15 ((~v128(constB48)) | (~v139(constB48))),
% 9.60/7.15 inference(unit_resolution,[status(thm)],[31503, 31502])).
% 9.60/7.15 tff(31505,plain,
% 9.60/7.15 ((~(v163(constB48) <=> (~((~v128(constB48)) | (~v139(constB48)))))) | (~v163(constB48)) | (~((~v128(constB48)) | (~v139(constB48))))),
% 9.60/7.15 inference(tautology,[status(thm)],[])).
% 9.60/7.15 tff(31506,plain,
% 9.60/7.15 (~v163(constB48)),
% 9.60/7.15 inference(unit_resolution,[status(thm)],[31505, 31504, 31236])).
% 9.60/7.15 tff(31507,plain,
% 9.60/7.15 ((~(v163(constB48) | v164(constB48))) | v163(constB48) | v164(constB48)),
% 9.60/7.15 inference(tautology,[status(thm)],[])).
% 9.60/7.15 tff(31508,plain,
% 9.60/7.15 (~(v163(constB48) | v164(constB48))),
% 9.60/7.15 inference(unit_resolution,[status(thm)],[31507, 31506, 31229])).
% 9.60/7.15 tff(31509,plain,
% 9.60/7.15 ((~(v160(constB48) <=> (v163(constB48) | v164(constB48)))) | (~v160(constB48)) | (v163(constB48) | v164(constB48))),
% 9.60/7.15 inference(tautology,[status(thm)],[])).
% 9.60/7.15 tff(31510,plain,
% 9.60/7.15 (~v160(constB48)),
% 9.60/7.15 inference(unit_resolution,[status(thm)],[31509, 31508, 31194])).
% 9.60/7.15 tff(31511,plain,
% 9.60/7.15 ((~(v162(constB49) <=> v160(constB48))) | (~v162(constB49)) | v160(constB48)),
% 9.60/7.15 inference(tautology,[status(thm)],[])).
% 9.60/7.15 tff(31512,plain,
% 9.60/7.15 (~v162(constB49)),
% 9.60/7.15 inference(unit_resolution,[status(thm)],[31511, 31510, 31192])).
% 9.60/7.15 tff(31513,plain,
% 9.60/7.15 ($false),
% 9.60/7.15 inference(unit_resolution,[status(thm)],[31512, 31188])).
% 9.60/7.15 tff(31514,plain,(~(constB49 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.60/7.15 tff(31515,assumption,(constB99 = VarCurr!0), introduced(assumption)).
% 9.60/7.15 tff(31516,plain,
% 9.60/7.15 (v162(constB99) <=> v162(VarCurr!0)),
% 9.60/7.15 inference(monotonicity,[status(thm)],[31515])).
% 9.60/7.15 tff(31517,plain,
% 9.60/7.15 (v162(VarCurr!0) <=> v162(constB99)),
% 9.60/7.15 inference(symmetry,[status(thm)],[31516])).
% 9.60/7.15 tff(31518,plain,
% 9.60/7.15 (v162(constB99)),
% 9.60/7.15 inference(modus_ponens,[status(thm)],[59, 31517])).
% 9.60/7.15 tff(31519,plain,
% 9.60/7.15 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB98, constB99)) | (v162(constB99) <=> v160(constB98)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB98, constB99)) | (v162(constB99) <=> v160(constB98)))),
% 9.60/7.15 inference(rewrite,[status(thm)],[])).
% 9.60/7.15 tff(31520,plain,
% 9.60/7.15 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB98, constB99)) | (v162(constB99) <=> v160(constB98)))),
% 9.60/7.15 inference(quant_inst,[status(thm)],[])).
% 9.60/7.15 tff(31521,plain,
% 9.60/7.15 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB98, constB99)) | (v162(constB99) <=> v160(constB98))),
% 9.60/7.15 inference(modus_ponens,[status(thm)],[31520, 31519])).
% 9.60/7.15 tff(31522,plain,
% 9.60/7.15 (v162(constB99) <=> v160(constB98)),
% 9.60/7.15 inference(unit_resolution,[status(thm)],[31521, 5263, 70])).
% 9.60/7.15 tff(31523,plain,
% 9.60/7.15 ((~![VarCurr: $i] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB98) <=> (v163(constB98) | v164(constB98)))),
% 9.60/7.15 inference(quant_inst,[status(thm)],[])).
% 9.60/7.15 tff(31524,plain,
% 9.60/7.15 (v160(constB98) <=> (v163(constB98) | v164(constB98))),
% 9.60/7.15 inference(unit_resolution,[status(thm)],[31523, 84])).
% 9.60/7.15 tff(31525,plain,
% 9.60/7.15 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB98) <=> (~((~v130(constB98)) | (~v154(constB98)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB98) <=> (~((~v130(constB98)) | (~v154(constB98))))))),
% 9.60/7.15 inference(rewrite,[status(thm)],[])).
% 9.60/7.15 tff(31526,plain,
% 9.60/7.15 ((v164(constB98) <=> (~((~v154(constB98)) | (~v130(constB98))))) <=> (v164(constB98) <=> (~((~v130(constB98)) | (~v154(constB98)))))),
% 9.60/7.15 inference(rewrite,[status(thm)],[])).
% 9.60/7.15 tff(31527,plain,
% 9.60/7.15 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB98) <=> (~((~v154(constB98)) | (~v130(constB98)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB98) <=> (~((~v130(constB98)) | (~v154(constB98))))))),
% 9.60/7.15 inference(monotonicity,[status(thm)],[31526])).
% 9.60/7.15 tff(31528,plain,
% 9.60/7.15 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB98) <=> (~((~v154(constB98)) | (~v130(constB98)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB98) <=> (~((~v130(constB98)) | (~v154(constB98))))))),
% 9.60/7.15 inference(transitivity,[status(thm)],[31527, 31525])).
% 9.60/7.15 tff(31529,plain,
% 9.60/7.15 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB98) <=> (~((~v154(constB98)) | (~v130(constB98)))))),
% 9.60/7.15 inference(quant_inst,[status(thm)],[])).
% 9.60/7.15 tff(31530,plain,
% 9.60/7.15 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB98) <=> (~((~v130(constB98)) | (~v154(constB98)))))),
% 9.60/7.15 inference(modus_ponens,[status(thm)],[31529, 31528])).
% 9.60/7.15 tff(31531,plain,
% 9.60/7.15 (v164(constB98) <=> (~((~v130(constB98)) | (~v154(constB98))))),
% 9.60/7.15 inference(unit_resolution,[status(thm)],[31530, 96])).
% 9.60/7.15 tff(31532,plain,
% 9.60/7.15 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB98) <=> (~((~v141(constB98)) | (~v143(constB98)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB98) <=> (~((~v141(constB98)) | (~v143(constB98))))))),
% 9.60/7.15 inference(rewrite,[status(thm)],[])).
% 9.60/7.15 tff(31533,plain,
% 9.60/7.15 ((v154(constB98) <=> (~((~v143(constB98)) | (~v141(constB98))))) <=> (v154(constB98) <=> (~((~v141(constB98)) | (~v143(constB98)))))),
% 9.60/7.15 inference(rewrite,[status(thm)],[])).
% 9.60/7.15 tff(31534,plain,
% 9.60/7.15 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB98) <=> (~((~v143(constB98)) | (~v141(constB98)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB98) <=> (~((~v141(constB98)) | (~v143(constB98))))))),
% 9.60/7.15 inference(monotonicity,[status(thm)],[31533])).
% 9.60/7.15 tff(31535,plain,
% 9.60/7.15 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB98) <=> (~((~v143(constB98)) | (~v141(constB98)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB98) <=> (~((~v141(constB98)) | (~v143(constB98))))))),
% 9.60/7.15 inference(transitivity,[status(thm)],[31534, 31532])).
% 9.60/7.15 tff(31536,plain,
% 9.60/7.15 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB98) <=> (~((~v143(constB98)) | (~v141(constB98)))))),
% 9.60/7.15 inference(quant_inst,[status(thm)],[])).
% 9.60/7.15 tff(31537,plain,
% 9.60/7.15 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB98) <=> (~((~v141(constB98)) | (~v143(constB98)))))),
% 9.60/7.15 inference(modus_ponens,[status(thm)],[31536, 31535])).
% 9.60/7.15 tff(31538,plain,
% 9.60/7.15 (v154(constB98) <=> (~((~v141(constB98)) | (~v143(constB98))))),
% 9.60/7.15 inference(unit_resolution,[status(thm)],[31537, 113])).
% 9.60/7.15 tff(31539,plain,
% 9.60/7.15 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB98) <=> (~((~v39(constB98)) | (~v9(constB98)))))),
% 9.60/7.15 inference(quant_inst,[status(thm)],[])).
% 9.60/7.15 tff(31540,plain,
% 9.60/7.15 (v141(constB98) <=> (~((~v39(constB98)) | (~v9(constB98))))),
% 9.60/7.15 inference(unit_resolution,[status(thm)],[31539, 130])).
% 9.60/7.15 tff(31541,plain,
% 9.60/7.15 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB98)) <=> v1(constB98))),
% 9.60/7.15 inference(quant_inst,[status(thm)],[])).
% 9.60/7.15 tff(31542,plain,
% 9.60/7.15 ((~v39(constB98)) <=> v1(constB98)),
% 9.60/7.15 inference(unit_resolution,[status(thm)],[31541, 139])).
% 9.60/7.15 tff(31543,plain,
% 9.60/7.15 ((~((~v39(constB98)) <=> v1(constB98))) | (~v39(constB98)) | (~v1(constB98))),
% 9.60/7.15 inference(tautology,[status(thm)],[])).
% 9.60/7.15 tff(31544,plain,
% 9.60/7.15 ((~((~v39(constB98)) <=> v1(constB98))) | (~v39(constB98))),
% 9.60/7.15 inference(unit_resolution,[status(thm)],[31543, 5325])).
% 9.60/7.15 tff(31545,plain,
% 9.60/7.15 (~v39(constB98)),
% 9.60/7.15 inference(unit_resolution,[status(thm)],[31544, 31542])).
% 9.60/7.15 tff(31546,plain,
% 9.60/7.15 (((~v39(constB98)) | (~v9(constB98))) | v39(constB98)),
% 9.60/7.15 inference(tautology,[status(thm)],[])).
% 9.60/7.15 tff(31547,plain,
% 9.60/7.15 ((~v39(constB98)) | (~v9(constB98))),
% 9.60/7.15 inference(unit_resolution,[status(thm)],[31546, 31545])).
% 9.60/7.15 tff(31548,plain,
% 9.60/7.15 ((~(v141(constB98) <=> (~((~v39(constB98)) | (~v9(constB98)))))) | (~v141(constB98)) | (~((~v39(constB98)) | (~v9(constB98))))),
% 9.60/7.15 inference(tautology,[status(thm)],[])).
% 9.60/7.15 tff(31549,plain,
% 9.60/7.15 ((~(v141(constB98) <=> (~((~v39(constB98)) | (~v9(constB98)))))) | (~v141(constB98))),
% 9.60/7.15 inference(unit_resolution,[status(thm)],[31548, 31547])).
% 9.60/7.15 tff(31550,plain,
% 9.60/7.15 (~v141(constB98)),
% 9.60/7.15 inference(unit_resolution,[status(thm)],[31549, 31540])).
% 9.60/7.15 tff(31551,plain,
% 9.60/7.15 (((~v141(constB98)) | (~v143(constB98))) | v141(constB98)),
% 9.60/7.15 inference(tautology,[status(thm)],[])).
% 9.60/7.15 tff(31552,plain,
% 9.60/7.15 ((~v141(constB98)) | (~v143(constB98))),
% 9.60/7.15 inference(unit_resolution,[status(thm)],[31551, 31550])).
% 9.60/7.15 tff(31553,plain,
% 9.60/7.15 ((~(v154(constB98) <=> (~((~v141(constB98)) | (~v143(constB98)))))) | (~v154(constB98)) | (~((~v141(constB98)) | (~v143(constB98))))),
% 9.60/7.15 inference(tautology,[status(thm)],[])).
% 9.60/7.15 tff(31554,plain,
% 9.60/7.15 ((~(v154(constB98) <=> (~((~v141(constB98)) | (~v143(constB98)))))) | (~v154(constB98))),
% 9.60/7.15 inference(unit_resolution,[status(thm)],[31553, 31552])).
% 9.60/7.15 tff(31555,plain,
% 9.60/7.15 (~v154(constB98)),
% 9.60/7.15 inference(unit_resolution,[status(thm)],[31554, 31538])).
% 9.60/7.15 tff(31556,plain,
% 9.60/7.15 (((~v130(constB98)) | (~v154(constB98))) | v154(constB98)),
% 9.60/7.15 inference(tautology,[status(thm)],[])).
% 9.60/7.16 tff(31557,plain,
% 9.60/7.16 ((~v130(constB98)) | (~v154(constB98))),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31556, 31555])).
% 9.60/7.16 tff(31558,plain,
% 9.60/7.16 ((~(v164(constB98) <=> (~((~v130(constB98)) | (~v154(constB98)))))) | (~v164(constB98)) | (~((~v130(constB98)) | (~v154(constB98))))),
% 9.60/7.16 inference(tautology,[status(thm)],[])).
% 9.60/7.16 tff(31559,plain,
% 9.60/7.16 (~v164(constB98)),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31558, 31557, 31531])).
% 9.60/7.16 tff(31560,plain,
% 9.60/7.16 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB98) <=> (~((~v128(constB98)) | (~v139(constB98)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB98) <=> (~((~v128(constB98)) | (~v139(constB98))))))),
% 9.60/7.16 inference(rewrite,[status(thm)],[])).
% 9.60/7.16 tff(31561,plain,
% 9.60/7.16 ((v163(constB98) <=> (~((~v139(constB98)) | (~v128(constB98))))) <=> (v163(constB98) <=> (~((~v128(constB98)) | (~v139(constB98)))))),
% 9.60/7.16 inference(rewrite,[status(thm)],[])).
% 9.60/7.16 tff(31562,plain,
% 9.60/7.16 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB98) <=> (~((~v139(constB98)) | (~v128(constB98)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB98) <=> (~((~v128(constB98)) | (~v139(constB98))))))),
% 9.60/7.16 inference(monotonicity,[status(thm)],[31561])).
% 9.60/7.16 tff(31563,plain,
% 9.60/7.16 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB98) <=> (~((~v139(constB98)) | (~v128(constB98)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB98) <=> (~((~v128(constB98)) | (~v139(constB98))))))),
% 9.60/7.16 inference(transitivity,[status(thm)],[31562, 31560])).
% 9.60/7.16 tff(31564,plain,
% 9.60/7.16 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB98) <=> (~((~v139(constB98)) | (~v128(constB98)))))),
% 9.60/7.16 inference(quant_inst,[status(thm)],[])).
% 9.60/7.16 tff(31565,plain,
% 9.60/7.16 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB98) <=> (~((~v128(constB98)) | (~v139(constB98)))))),
% 9.60/7.16 inference(modus_ponens,[status(thm)],[31564, 31563])).
% 9.60/7.16 tff(31566,plain,
% 9.60/7.16 (v163(constB98) <=> (~((~v128(constB98)) | (~v139(constB98))))),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31565, 171])).
% 9.60/7.16 tff(31567,plain,
% 9.60/7.16 ((~![VarNext: $i] : (v128(VarNext) <=> v162(VarNext))) | (v128(constB98) <=> v162(constB98))),
% 9.60/7.16 inference(quant_inst,[status(thm)],[])).
% 9.60/7.16 tff(31568,plain,
% 9.60/7.16 (v128(constB98) <=> v162(constB98)),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31567, 13])).
% 9.60/7.16 tff(31569,plain,
% 9.60/7.16 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB97, constB98)) | (v162(constB98) <=> v160(constB97)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB97, constB98)) | (v162(constB98) <=> v160(constB97)))),
% 9.60/7.16 inference(rewrite,[status(thm)],[])).
% 9.60/7.16 tff(31570,plain,
% 9.60/7.16 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB97, constB98)) | (v162(constB98) <=> v160(constB97)))),
% 9.60/7.16 inference(quant_inst,[status(thm)],[])).
% 9.60/7.16 tff(31571,plain,
% 9.60/7.16 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB97, constB98)) | (v162(constB98) <=> v160(constB97))),
% 9.60/7.16 inference(modus_ponens,[status(thm)],[31570, 31569])).
% 9.60/7.16 tff(31572,plain,
% 9.60/7.16 (v162(constB98) <=> v160(constB97)),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31571, 5295, 70])).
% 9.60/7.16 tff(31573,plain,
% 9.60/7.16 ((~![VarCurr: $i] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB97) <=> (v163(constB97) | v164(constB97)))),
% 9.60/7.16 inference(quant_inst,[status(thm)],[])).
% 9.60/7.16 tff(31574,plain,
% 9.60/7.16 (v160(constB97) <=> (v163(constB97) | v164(constB97))),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31573, 84])).
% 9.60/7.16 tff(31575,plain,
% 9.60/7.16 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB97) <=> (~((~v128(constB97)) | (~v139(constB97)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB97) <=> (~((~v128(constB97)) | (~v139(constB97))))))),
% 9.60/7.16 inference(rewrite,[status(thm)],[])).
% 9.60/7.16 tff(31576,plain,
% 9.60/7.16 ((v163(constB97) <=> (~((~v139(constB97)) | (~v128(constB97))))) <=> (v163(constB97) <=> (~((~v128(constB97)) | (~v139(constB97)))))),
% 9.60/7.16 inference(rewrite,[status(thm)],[])).
% 9.60/7.16 tff(31577,plain,
% 9.60/7.16 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB97) <=> (~((~v139(constB97)) | (~v128(constB97)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB97) <=> (~((~v128(constB97)) | (~v139(constB97))))))),
% 9.60/7.16 inference(monotonicity,[status(thm)],[31576])).
% 9.60/7.16 tff(31578,plain,
% 9.60/7.16 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB97) <=> (~((~v139(constB97)) | (~v128(constB97)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB97) <=> (~((~v128(constB97)) | (~v139(constB97))))))),
% 9.60/7.16 inference(transitivity,[status(thm)],[31577, 31575])).
% 9.60/7.16 tff(31579,plain,
% 9.60/7.16 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB97) <=> (~((~v139(constB97)) | (~v128(constB97)))))),
% 9.60/7.16 inference(quant_inst,[status(thm)],[])).
% 9.60/7.16 tff(31580,plain,
% 9.60/7.16 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB97) <=> (~((~v128(constB97)) | (~v139(constB97)))))),
% 9.60/7.16 inference(modus_ponens,[status(thm)],[31579, 31578])).
% 9.60/7.16 tff(31581,plain,
% 9.60/7.16 (v163(constB97) <=> (~((~v128(constB97)) | (~v139(constB97))))),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31580, 171])).
% 9.60/7.16 tff(31582,plain,
% 9.60/7.16 ((~![VarCurr: $i] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB97)) <=> v140(constB97))),
% 9.60/7.16 inference(quant_inst,[status(thm)],[])).
% 9.60/7.16 tff(31583,plain,
% 9.60/7.16 ((~v139(constB97)) <=> v140(constB97)),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31582, 203])).
% 9.60/7.16 tff(31584,plain,
% 9.60/7.16 ((~![VarCurr: $i] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB97) <=> (v141(constB97) | v26(constB97)))),
% 9.60/7.16 inference(quant_inst,[status(thm)],[])).
% 9.60/7.16 tff(31585,plain,
% 9.60/7.16 (v140(constB97) <=> (v141(constB97) | v26(constB97))),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31584, 212])).
% 9.60/7.16 tff(31586,plain,
% 9.60/7.16 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB97) <=> (~((~v39(constB97)) | (~v9(constB97)))))),
% 9.60/7.16 inference(quant_inst,[status(thm)],[])).
% 9.60/7.16 tff(31587,plain,
% 9.60/7.16 (v141(constB97) <=> (~((~v39(constB97)) | (~v9(constB97))))),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31586, 130])).
% 9.60/7.16 tff(31588,plain,
% 9.60/7.16 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB97, constB98)) | (v13(constB98) <=> v9(constB97)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB97, constB98)) | (v13(constB98) <=> v9(constB97)))),
% 9.60/7.16 inference(rewrite,[status(thm)],[])).
% 9.60/7.16 tff(31589,plain,
% 9.60/7.16 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB97, constB98)) | (v13(constB98) <=> v9(constB97)))),
% 9.60/7.16 inference(quant_inst,[status(thm)],[])).
% 9.60/7.16 tff(31590,plain,
% 9.60/7.16 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB97, constB98)) | (v13(constB98) <=> v9(constB97))),
% 9.60/7.16 inference(modus_ponens,[status(thm)],[31589, 31588])).
% 9.60/7.16 tff(31591,plain,
% 9.60/7.16 (v13(constB98) <=> v9(constB97)),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31590, 5295, 226])).
% 9.60/7.16 tff(31592,plain,
% 9.60/7.16 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB98) <=> v13(constB98))),
% 9.60/7.16 inference(quant_inst,[status(thm)],[])).
% 9.60/7.16 tff(31593,plain,
% 9.60/7.16 (v6(constB98) <=> v13(constB98)),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31592, 240])).
% 9.60/7.16 tff(31594,plain,
% 9.60/7.16 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB98)) <=> v6(constB98))),
% 9.60/7.16 inference(quant_inst,[status(thm)],[])).
% 9.60/7.16 tff(31595,plain,
% 9.60/7.16 ((~v21(constB98)) <=> v6(constB98)),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31594, 249])).
% 9.60/7.16 tff(31596,plain,
% 9.60/7.16 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB98) <=> (v20(constB98) | v21(constB98)))),
% 9.60/7.16 inference(quant_inst,[status(thm)],[])).
% 9.60/7.16 tff(31597,plain,
% 9.60/7.16 (v19(constB98) <=> (v20(constB98) | v21(constB98))),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31596, 258])).
% 9.60/7.16 tff(31598,plain,
% 9.60/7.16 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB98) <=> (~((~v19(constB98)) | (~v22(constB98)))))),
% 9.60/7.16 inference(quant_inst,[status(thm)],[])).
% 9.60/7.16 tff(31599,plain,
% 9.60/7.16 (v18(constB98) <=> (~((~v19(constB98)) | (~v22(constB98))))),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31598, 270])).
% 9.60/7.16 tff(31600,plain,
% 9.60/7.16 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB98)) <=> v18(constB98))),
% 9.60/7.16 inference(quant_inst,[status(thm)],[])).
% 9.60/7.16 tff(31601,plain,
% 9.60/7.16 ((~v4(constB98)) <=> v18(constB98)),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31600, 279])).
% 9.60/7.16 tff(31602,plain,
% 9.60/7.16 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB98)),
% 9.60/7.16 inference(quant_inst,[status(thm)],[])).
% 9.60/7.16 tff(31603,plain,
% 9.60/7.16 (v4(constB98)),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31602, 288])).
% 9.60/7.16 tff(31604,plain,
% 9.60/7.16 ((~((~v4(constB98)) <=> v18(constB98))) | (~v4(constB98)) | (~v18(constB98))),
% 9.60/7.16 inference(tautology,[status(thm)],[])).
% 9.60/7.16 tff(31605,plain,
% 9.60/7.16 (~v18(constB98)),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31604, 31603, 31601])).
% 9.60/7.16 tff(31606,plain,
% 9.60/7.16 ((~(v18(constB98) <=> (~((~v19(constB98)) | (~v22(constB98)))))) | v18(constB98) | ((~v19(constB98)) | (~v22(constB98)))),
% 9.60/7.16 inference(tautology,[status(thm)],[])).
% 9.60/7.16 tff(31607,plain,
% 9.60/7.16 ((~v19(constB98)) | (~v22(constB98))),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31606, 31605, 31599])).
% 9.60/7.16 tff(31608,plain,
% 9.60/7.16 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB98) <=> (v1(constB98) | v6(constB98)))),
% 9.60/7.16 inference(quant_inst,[status(thm)],[])).
% 9.60/7.16 tff(31609,plain,
% 9.60/7.16 (v22(constB98) <=> (v1(constB98) | v6(constB98))),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31608, 301])).
% 9.60/7.16 tff(31610,plain,
% 9.60/7.16 ((v1(constB98) | v6(constB98)) | (~v1(constB98))),
% 9.60/7.16 inference(tautology,[status(thm)],[])).
% 9.60/7.16 tff(31611,plain,
% 9.60/7.16 (v1(constB98) | v6(constB98)),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31610, 5325])).
% 9.60/7.16 tff(31612,plain,
% 9.60/7.16 ((~(v22(constB98) <=> (v1(constB98) | v6(constB98)))) | v22(constB98) | (~(v1(constB98) | v6(constB98)))),
% 9.60/7.16 inference(tautology,[status(thm)],[])).
% 9.60/7.16 tff(31613,plain,
% 9.60/7.16 ((~(v22(constB98) <=> (v1(constB98) | v6(constB98)))) | v22(constB98)),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31612, 31611])).
% 9.60/7.16 tff(31614,plain,
% 9.60/7.16 (v22(constB98)),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31613, 31609])).
% 9.60/7.16 tff(31615,plain,
% 9.60/7.16 ((~((~v19(constB98)) | (~v22(constB98)))) | (~v19(constB98)) | (~v22(constB98))),
% 9.60/7.16 inference(tautology,[status(thm)],[])).
% 9.60/7.16 tff(31616,plain,
% 9.60/7.16 ((~((~v19(constB98)) | (~v22(constB98)))) | (~v19(constB98))),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31615, 31614])).
% 9.60/7.16 tff(31617,plain,
% 9.60/7.16 (~v19(constB98)),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31616, 31607])).
% 9.60/7.16 tff(31618,plain,
% 9.60/7.16 ((~(v19(constB98) <=> (v20(constB98) | v21(constB98)))) | v19(constB98) | (~(v20(constB98) | v21(constB98)))),
% 9.60/7.16 inference(tautology,[status(thm)],[])).
% 9.60/7.16 tff(31619,plain,
% 9.60/7.16 (~(v20(constB98) | v21(constB98))),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31618, 31617, 31597])).
% 9.60/7.16 tff(31620,plain,
% 9.60/7.16 ((v20(constB98) | v21(constB98)) | (~v21(constB98))),
% 9.60/7.16 inference(tautology,[status(thm)],[])).
% 9.60/7.16 tff(31621,plain,
% 9.60/7.16 (~v21(constB98)),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31620, 31619])).
% 9.60/7.16 tff(31622,plain,
% 9.60/7.16 ((~((~v21(constB98)) <=> v6(constB98))) | v21(constB98) | v6(constB98)),
% 9.60/7.16 inference(tautology,[status(thm)],[])).
% 9.60/7.16 tff(31623,plain,
% 9.60/7.16 (v6(constB98)),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31622, 31621, 31595])).
% 9.60/7.16 tff(31624,plain,
% 9.60/7.16 ((~(v6(constB98) <=> v13(constB98))) | (~v6(constB98)) | v13(constB98)),
% 9.60/7.16 inference(tautology,[status(thm)],[])).
% 9.60/7.16 tff(31625,plain,
% 9.60/7.16 (v13(constB98)),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31624, 31623, 31593])).
% 9.60/7.16 tff(31626,plain,
% 9.60/7.16 ((~(v13(constB98) <=> v9(constB97))) | (~v13(constB98)) | v9(constB97)),
% 9.60/7.16 inference(tautology,[status(thm)],[])).
% 9.60/7.16 tff(31627,plain,
% 9.60/7.16 (v9(constB97)),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31626, 31625, 31591])).
% 9.60/7.16 tff(31628,plain,
% 9.60/7.16 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB97)) <=> v1(constB97))),
% 9.60/7.16 inference(quant_inst,[status(thm)],[])).
% 9.60/7.16 tff(31629,plain,
% 9.60/7.16 ((~v39(constB97)) <=> v1(constB97)),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31628, 139])).
% 9.60/7.16 tff(31630,plain,
% 9.60/7.16 ((~((~v39(constB97)) <=> v1(constB97))) | v39(constB97) | v1(constB97)),
% 9.60/7.16 inference(tautology,[status(thm)],[])).
% 9.60/7.16 tff(31631,plain,
% 9.60/7.16 ((~((~v39(constB97)) <=> v1(constB97))) | v39(constB97)),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31630, 5317])).
% 9.60/7.16 tff(31632,plain,
% 9.60/7.16 (v39(constB97)),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31631, 31629])).
% 9.60/7.16 tff(31633,plain,
% 9.60/7.16 ((~((~v39(constB97)) | (~v9(constB97)))) | (~v39(constB97)) | (~v9(constB97))),
% 9.60/7.16 inference(tautology,[status(thm)],[])).
% 9.60/7.16 tff(31634,plain,
% 9.60/7.16 ((~((~v39(constB97)) | (~v9(constB97)))) | (~v9(constB97))),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31633, 31632])).
% 9.60/7.16 tff(31635,plain,
% 9.60/7.16 (~((~v39(constB97)) | (~v9(constB97)))),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31634, 31627])).
% 9.60/7.16 tff(31636,plain,
% 9.60/7.16 ((~(v141(constB97) <=> (~((~v39(constB97)) | (~v9(constB97)))))) | v141(constB97) | ((~v39(constB97)) | (~v9(constB97)))),
% 9.60/7.16 inference(tautology,[status(thm)],[])).
% 9.60/7.16 tff(31637,plain,
% 9.60/7.16 (v141(constB97)),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31636, 31635, 31587])).
% 9.60/7.16 tff(31638,plain,
% 9.60/7.16 ((v141(constB97) | v26(constB97)) | (~v141(constB97))),
% 9.60/7.16 inference(tautology,[status(thm)],[])).
% 9.60/7.16 tff(31639,plain,
% 9.60/7.16 (v141(constB97) | v26(constB97)),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31638, 31637])).
% 9.60/7.16 tff(31640,plain,
% 9.60/7.16 ((~(v140(constB97) <=> (v141(constB97) | v26(constB97)))) | v140(constB97) | (~(v141(constB97) | v26(constB97)))),
% 9.60/7.16 inference(tautology,[status(thm)],[])).
% 9.60/7.16 tff(31641,plain,
% 9.60/7.16 (v140(constB97)),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31640, 31639, 31585])).
% 9.60/7.16 tff(31642,plain,
% 9.60/7.16 ((~((~v139(constB97)) <=> v140(constB97))) | (~v139(constB97)) | (~v140(constB97))),
% 9.60/7.16 inference(tautology,[status(thm)],[])).
% 9.60/7.16 tff(31643,plain,
% 9.60/7.16 (~v139(constB97)),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31642, 31641, 31583])).
% 9.60/7.16 tff(31644,plain,
% 9.60/7.16 (((~v128(constB97)) | (~v139(constB97))) | v139(constB97)),
% 9.60/7.16 inference(tautology,[status(thm)],[])).
% 9.60/7.16 tff(31645,plain,
% 9.60/7.16 ((~v128(constB97)) | (~v139(constB97))),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31644, 31643])).
% 9.60/7.16 tff(31646,plain,
% 9.60/7.16 ((~(v163(constB97) <=> (~((~v128(constB97)) | (~v139(constB97)))))) | (~v163(constB97)) | (~((~v128(constB97)) | (~v139(constB97))))),
% 9.60/7.16 inference(tautology,[status(thm)],[])).
% 9.60/7.16 tff(31647,plain,
% 9.60/7.16 (~v163(constB97)),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31646, 31645, 31581])).
% 9.60/7.16 tff(31648,plain,
% 9.60/7.16 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB97) <=> (~((~v130(constB97)) | (~v154(constB97)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB97) <=> (~((~v130(constB97)) | (~v154(constB97))))))),
% 9.60/7.16 inference(rewrite,[status(thm)],[])).
% 9.60/7.16 tff(31649,plain,
% 9.60/7.16 ((v164(constB97) <=> (~((~v154(constB97)) | (~v130(constB97))))) <=> (v164(constB97) <=> (~((~v130(constB97)) | (~v154(constB97)))))),
% 9.60/7.16 inference(rewrite,[status(thm)],[])).
% 9.60/7.16 tff(31650,plain,
% 9.60/7.16 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB97) <=> (~((~v154(constB97)) | (~v130(constB97)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB97) <=> (~((~v130(constB97)) | (~v154(constB97))))))),
% 9.60/7.16 inference(monotonicity,[status(thm)],[31649])).
% 9.60/7.16 tff(31651,plain,
% 9.60/7.16 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB97) <=> (~((~v154(constB97)) | (~v130(constB97)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB97) <=> (~((~v130(constB97)) | (~v154(constB97))))))),
% 9.60/7.16 inference(transitivity,[status(thm)],[31650, 31648])).
% 9.60/7.16 tff(31652,plain,
% 9.60/7.16 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB97) <=> (~((~v154(constB97)) | (~v130(constB97)))))),
% 9.60/7.16 inference(quant_inst,[status(thm)],[])).
% 9.60/7.16 tff(31653,plain,
% 9.60/7.16 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB97) <=> (~((~v130(constB97)) | (~v154(constB97)))))),
% 9.60/7.16 inference(modus_ponens,[status(thm)],[31652, 31651])).
% 9.60/7.16 tff(31654,plain,
% 9.60/7.16 (v164(constB97) <=> (~((~v130(constB97)) | (~v154(constB97))))),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31653, 96])).
% 9.60/7.16 tff(31655,plain,
% 9.60/7.16 ((~![VarNext: $i] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB97) <=> v152(constB97))),
% 9.60/7.16 inference(quant_inst,[status(thm)],[])).
% 9.60/7.16 tff(31656,plain,
% 9.60/7.16 (v130(constB97) <=> v152(constB97)),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31655, 361])).
% 9.60/7.16 tff(31657,plain,
% 9.60/7.16 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB96, constB97)) | (v152(constB97) <=> v150(constB96)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB96, constB97)) | (v152(constB97) <=> v150(constB96)))),
% 9.60/7.16 inference(rewrite,[status(thm)],[])).
% 9.60/7.16 tff(31658,plain,
% 9.60/7.16 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB96, constB97)) | (v152(constB97) <=> v150(constB96)))),
% 9.60/7.16 inference(quant_inst,[status(thm)],[])).
% 9.60/7.16 tff(31659,plain,
% 9.60/7.16 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB96, constB97)) | (v152(constB97) <=> v150(constB96))),
% 9.60/7.16 inference(modus_ponens,[status(thm)],[31658, 31657])).
% 9.60/7.16 tff(31660,plain,
% 9.60/7.16 (v152(constB97) <=> v150(constB96)),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31659, 5350, 373])).
% 9.60/7.16 tff(31661,plain,
% 9.60/7.16 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v153(VarCurr) | v155(VarCurr)))) | (v150(constB96) <=> (v153(constB96) | v155(constB96)))),
% 9.60/7.16 inference(quant_inst,[status(thm)],[])).
% 9.60/7.16 tff(31662,plain,
% 9.60/7.16 (v150(constB96) <=> (v153(constB96) | v155(constB96))),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31661, 387])).
% 9.60/7.16 tff(31663,plain,
% 9.60/7.16 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB96) <=> (~((~v132(constB96)) | (~v154(constB96)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB96) <=> (~((~v132(constB96)) | (~v154(constB96))))))),
% 9.60/7.16 inference(rewrite,[status(thm)],[])).
% 9.60/7.16 tff(31664,plain,
% 9.60/7.16 ((v153(constB96) <=> (~((~v154(constB96)) | (~v132(constB96))))) <=> (v153(constB96) <=> (~((~v132(constB96)) | (~v154(constB96)))))),
% 9.60/7.16 inference(rewrite,[status(thm)],[])).
% 9.60/7.16 tff(31665,plain,
% 9.60/7.16 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB96) <=> (~((~v154(constB96)) | (~v132(constB96)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB96) <=> (~((~v132(constB96)) | (~v154(constB96))))))),
% 9.60/7.16 inference(monotonicity,[status(thm)],[31664])).
% 9.60/7.16 tff(31666,plain,
% 9.60/7.16 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB96) <=> (~((~v154(constB96)) | (~v132(constB96)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB96) <=> (~((~v132(constB96)) | (~v154(constB96))))))),
% 9.60/7.16 inference(transitivity,[status(thm)],[31665, 31663])).
% 9.60/7.16 tff(31667,plain,
% 9.60/7.16 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB96) <=> (~((~v154(constB96)) | (~v132(constB96)))))),
% 9.60/7.16 inference(quant_inst,[status(thm)],[])).
% 9.60/7.16 tff(31668,plain,
% 9.60/7.16 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB96) <=> (~((~v132(constB96)) | (~v154(constB96)))))),
% 9.60/7.16 inference(modus_ponens,[status(thm)],[31667, 31666])).
% 9.60/7.16 tff(31669,plain,
% 9.60/7.16 (v153(constB96) <=> (~((~v132(constB96)) | (~v154(constB96))))),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31668, 399])).
% 9.60/7.16 tff(31670,plain,
% 9.60/7.16 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB96) <=> (~((~v141(constB96)) | (~v143(constB96)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB96) <=> (~((~v141(constB96)) | (~v143(constB96))))))),
% 9.60/7.16 inference(rewrite,[status(thm)],[])).
% 9.60/7.16 tff(31671,plain,
% 9.60/7.16 ((v154(constB96) <=> (~((~v143(constB96)) | (~v141(constB96))))) <=> (v154(constB96) <=> (~((~v141(constB96)) | (~v143(constB96)))))),
% 9.60/7.16 inference(rewrite,[status(thm)],[])).
% 9.60/7.16 tff(31672,plain,
% 9.60/7.16 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB96) <=> (~((~v143(constB96)) | (~v141(constB96)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB96) <=> (~((~v141(constB96)) | (~v143(constB96))))))),
% 9.60/7.16 inference(monotonicity,[status(thm)],[31671])).
% 9.60/7.16 tff(31673,plain,
% 9.60/7.16 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB96) <=> (~((~v143(constB96)) | (~v141(constB96)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB96) <=> (~((~v141(constB96)) | (~v143(constB96))))))),
% 9.60/7.16 inference(transitivity,[status(thm)],[31672, 31670])).
% 9.60/7.16 tff(31674,plain,
% 9.60/7.16 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB96) <=> (~((~v143(constB96)) | (~v141(constB96)))))),
% 9.60/7.16 inference(quant_inst,[status(thm)],[])).
% 9.60/7.16 tff(31675,plain,
% 9.60/7.16 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB96) <=> (~((~v141(constB96)) | (~v143(constB96)))))),
% 9.60/7.16 inference(modus_ponens,[status(thm)],[31674, 31673])).
% 9.60/7.16 tff(31676,plain,
% 9.60/7.16 (v154(constB96) <=> (~((~v141(constB96)) | (~v143(constB96))))),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31675, 113])).
% 9.60/7.16 tff(31677,plain,
% 9.60/7.16 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB96) <=> (~((~v39(constB96)) | (~v9(constB96)))))),
% 9.60/7.16 inference(quant_inst,[status(thm)],[])).
% 9.60/7.16 tff(31678,plain,
% 9.60/7.16 (v141(constB96) <=> (~((~v39(constB96)) | (~v9(constB96))))),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31677, 130])).
% 9.60/7.16 tff(31679,plain,
% 9.60/7.16 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB96)) <=> v1(constB96))),
% 9.60/7.16 inference(quant_inst,[status(thm)],[])).
% 9.60/7.16 tff(31680,plain,
% 9.60/7.16 ((~v39(constB96)) <=> v1(constB96)),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31679, 139])).
% 9.60/7.16 tff(31681,plain,
% 9.60/7.16 ((~((~v39(constB96)) <=> v1(constB96))) | (~v39(constB96)) | (~v1(constB96))),
% 9.60/7.16 inference(tautology,[status(thm)],[])).
% 9.60/7.16 tff(31682,plain,
% 9.60/7.16 ((~((~v39(constB96)) <=> v1(constB96))) | (~v39(constB96))),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31681, 5412])).
% 9.60/7.16 tff(31683,plain,
% 9.60/7.16 (~v39(constB96)),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31682, 31680])).
% 9.60/7.16 tff(31684,plain,
% 9.60/7.16 (((~v39(constB96)) | (~v9(constB96))) | v39(constB96)),
% 9.60/7.16 inference(tautology,[status(thm)],[])).
% 9.60/7.16 tff(31685,plain,
% 9.60/7.16 ((~v39(constB96)) | (~v9(constB96))),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31684, 31683])).
% 9.60/7.16 tff(31686,plain,
% 9.60/7.16 ((~(v141(constB96) <=> (~((~v39(constB96)) | (~v9(constB96)))))) | (~v141(constB96)) | (~((~v39(constB96)) | (~v9(constB96))))),
% 9.60/7.16 inference(tautology,[status(thm)],[])).
% 9.60/7.16 tff(31687,plain,
% 9.60/7.16 ((~(v141(constB96) <=> (~((~v39(constB96)) | (~v9(constB96)))))) | (~v141(constB96))),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31686, 31685])).
% 9.60/7.16 tff(31688,plain,
% 9.60/7.16 (~v141(constB96)),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31687, 31678])).
% 9.60/7.16 tff(31689,plain,
% 9.60/7.16 (((~v141(constB96)) | (~v143(constB96))) | v141(constB96)),
% 9.60/7.16 inference(tautology,[status(thm)],[])).
% 9.60/7.16 tff(31690,plain,
% 9.60/7.16 ((~v141(constB96)) | (~v143(constB96))),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31689, 31688])).
% 9.60/7.16 tff(31691,plain,
% 9.60/7.16 ((~(v154(constB96) <=> (~((~v141(constB96)) | (~v143(constB96)))))) | (~v154(constB96)) | (~((~v141(constB96)) | (~v143(constB96))))),
% 9.60/7.16 inference(tautology,[status(thm)],[])).
% 9.60/7.16 tff(31692,plain,
% 9.60/7.16 ((~(v154(constB96) <=> (~((~v141(constB96)) | (~v143(constB96)))))) | (~v154(constB96))),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31691, 31690])).
% 9.60/7.16 tff(31693,plain,
% 9.60/7.16 (~v154(constB96)),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31692, 31676])).
% 9.60/7.16 tff(31694,plain,
% 9.60/7.16 (((~v132(constB96)) | (~v154(constB96))) | v154(constB96)),
% 9.60/7.16 inference(tautology,[status(thm)],[])).
% 9.60/7.16 tff(31695,plain,
% 9.60/7.16 ((~v132(constB96)) | (~v154(constB96))),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31694, 31693])).
% 9.60/7.16 tff(31696,plain,
% 9.60/7.16 ((~(v153(constB96) <=> (~((~v132(constB96)) | (~v154(constB96)))))) | (~v153(constB96)) | (~((~v132(constB96)) | (~v154(constB96))))),
% 9.60/7.16 inference(tautology,[status(thm)],[])).
% 9.60/7.16 tff(31697,plain,
% 9.60/7.16 (~v153(constB96)),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31696, 31695, 31669])).
% 9.60/7.16 tff(31698,plain,
% 9.60/7.16 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB96) <=> (~((~v130(constB96)) | (~v139(constB96)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB96) <=> (~((~v130(constB96)) | (~v139(constB96))))))),
% 9.60/7.16 inference(rewrite,[status(thm)],[])).
% 9.60/7.16 tff(31699,plain,
% 9.60/7.16 ((v155(constB96) <=> (~((~v139(constB96)) | (~v130(constB96))))) <=> (v155(constB96) <=> (~((~v130(constB96)) | (~v139(constB96)))))),
% 9.60/7.16 inference(rewrite,[status(thm)],[])).
% 9.60/7.16 tff(31700,plain,
% 9.60/7.16 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB96) <=> (~((~v139(constB96)) | (~v130(constB96)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB96) <=> (~((~v130(constB96)) | (~v139(constB96))))))),
% 9.60/7.16 inference(monotonicity,[status(thm)],[31699])).
% 9.60/7.16 tff(31701,plain,
% 9.60/7.16 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB96) <=> (~((~v139(constB96)) | (~v130(constB96)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB96) <=> (~((~v130(constB96)) | (~v139(constB96))))))),
% 9.60/7.16 inference(transitivity,[status(thm)],[31700, 31698])).
% 9.60/7.16 tff(31702,plain,
% 9.60/7.16 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB96) <=> (~((~v139(constB96)) | (~v130(constB96)))))),
% 9.60/7.16 inference(quant_inst,[status(thm)],[])).
% 9.60/7.16 tff(31703,plain,
% 9.60/7.16 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB96) <=> (~((~v130(constB96)) | (~v139(constB96)))))),
% 9.60/7.16 inference(modus_ponens,[status(thm)],[31702, 31701])).
% 9.60/7.16 tff(31704,plain,
% 9.60/7.16 (v155(constB96) <=> (~((~v130(constB96)) | (~v139(constB96))))),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31703, 447])).
% 9.60/7.16 tff(31705,plain,
% 9.60/7.16 ((~![VarNext: $i] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB96) <=> v152(constB96))),
% 9.60/7.16 inference(quant_inst,[status(thm)],[])).
% 9.60/7.16 tff(31706,plain,
% 9.60/7.16 (v130(constB96) <=> v152(constB96)),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31705, 361])).
% 9.60/7.16 tff(31707,plain,
% 9.60/7.16 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB95, constB96)) | (v152(constB96) <=> v150(constB95)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB95, constB96)) | (v152(constB96) <=> v150(constB95)))),
% 9.60/7.16 inference(rewrite,[status(thm)],[])).
% 9.60/7.16 tff(31708,plain,
% 9.60/7.16 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB95, constB96)) | (v152(constB96) <=> v150(constB95)))),
% 9.60/7.16 inference(quant_inst,[status(thm)],[])).
% 9.60/7.16 tff(31709,plain,
% 9.60/7.16 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB95, constB96)) | (v152(constB96) <=> v150(constB95))),
% 9.60/7.16 inference(modus_ponens,[status(thm)],[31708, 31707])).
% 9.60/7.16 tff(31710,plain,
% 9.60/7.16 (v152(constB96) <=> v150(constB95)),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31709, 5382, 373])).
% 9.60/7.16 tff(31711,plain,
% 9.60/7.16 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v153(VarCurr) | v155(VarCurr)))) | (v150(constB95) <=> (v153(constB95) | v155(constB95)))),
% 9.60/7.16 inference(quant_inst,[status(thm)],[])).
% 9.60/7.16 tff(31712,plain,
% 9.60/7.16 (v150(constB95) <=> (v153(constB95) | v155(constB95))),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31711, 387])).
% 9.60/7.16 tff(31713,plain,
% 9.60/7.16 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB95) <=> (~((~v130(constB95)) | (~v139(constB95)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB95) <=> (~((~v130(constB95)) | (~v139(constB95))))))),
% 9.60/7.16 inference(rewrite,[status(thm)],[])).
% 9.60/7.16 tff(31714,plain,
% 9.60/7.16 ((v155(constB95) <=> (~((~v139(constB95)) | (~v130(constB95))))) <=> (v155(constB95) <=> (~((~v130(constB95)) | (~v139(constB95)))))),
% 9.60/7.16 inference(rewrite,[status(thm)],[])).
% 9.60/7.16 tff(31715,plain,
% 9.60/7.16 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB95) <=> (~((~v139(constB95)) | (~v130(constB95)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB95) <=> (~((~v130(constB95)) | (~v139(constB95))))))),
% 9.60/7.16 inference(monotonicity,[status(thm)],[31714])).
% 9.60/7.16 tff(31716,plain,
% 9.60/7.16 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB95) <=> (~((~v139(constB95)) | (~v130(constB95)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB95) <=> (~((~v130(constB95)) | (~v139(constB95))))))),
% 9.60/7.16 inference(transitivity,[status(thm)],[31715, 31713])).
% 9.60/7.16 tff(31717,plain,
% 9.60/7.16 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB95) <=> (~((~v139(constB95)) | (~v130(constB95)))))),
% 9.60/7.16 inference(quant_inst,[status(thm)],[])).
% 9.60/7.16 tff(31718,plain,
% 9.60/7.16 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB95) <=> (~((~v130(constB95)) | (~v139(constB95)))))),
% 9.60/7.16 inference(modus_ponens,[status(thm)],[31717, 31716])).
% 9.60/7.16 tff(31719,plain,
% 9.60/7.16 (v155(constB95) <=> (~((~v130(constB95)) | (~v139(constB95))))),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31718, 447])).
% 9.60/7.16 tff(31720,plain,
% 9.60/7.16 ((~![VarCurr: $i] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB95)) <=> v140(constB95))),
% 9.60/7.16 inference(quant_inst,[status(thm)],[])).
% 9.60/7.16 tff(31721,plain,
% 9.60/7.16 ((~v139(constB95)) <=> v140(constB95)),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31720, 203])).
% 9.60/7.16 tff(31722,plain,
% 9.60/7.16 ((~![VarCurr: $i] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB95) <=> (v141(constB95) | v26(constB95)))),
% 9.60/7.16 inference(quant_inst,[status(thm)],[])).
% 9.60/7.16 tff(31723,plain,
% 9.60/7.16 (v140(constB95) <=> (v141(constB95) | v26(constB95))),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31722, 212])).
% 9.60/7.16 tff(31724,plain,
% 9.60/7.16 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB95) <=> (~((~v39(constB95)) | (~v9(constB95)))))),
% 9.60/7.16 inference(quant_inst,[status(thm)],[])).
% 9.60/7.16 tff(31725,plain,
% 9.60/7.16 (v141(constB95) <=> (~((~v39(constB95)) | (~v9(constB95))))),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31724, 130])).
% 9.60/7.16 tff(31726,plain,
% 9.60/7.16 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB95, constB96)) | (v13(constB96) <=> v9(constB95)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB95, constB96)) | (v13(constB96) <=> v9(constB95)))),
% 9.60/7.16 inference(rewrite,[status(thm)],[])).
% 9.60/7.16 tff(31727,plain,
% 9.60/7.16 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB95, constB96)) | (v13(constB96) <=> v9(constB95)))),
% 9.60/7.16 inference(quant_inst,[status(thm)],[])).
% 9.60/7.16 tff(31728,plain,
% 9.60/7.16 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB95, constB96)) | (v13(constB96) <=> v9(constB95))),
% 9.60/7.16 inference(modus_ponens,[status(thm)],[31727, 31726])).
% 9.60/7.16 tff(31729,plain,
% 9.60/7.16 (v13(constB96) <=> v9(constB95)),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31728, 5382, 226])).
% 9.60/7.16 tff(31730,plain,
% 9.60/7.16 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB96) <=> v13(constB96))),
% 9.60/7.16 inference(quant_inst,[status(thm)],[])).
% 9.60/7.16 tff(31731,plain,
% 9.60/7.16 (v6(constB96) <=> v13(constB96)),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31730, 240])).
% 9.60/7.16 tff(31732,plain,
% 9.60/7.16 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB96)) <=> v6(constB96))),
% 9.60/7.16 inference(quant_inst,[status(thm)],[])).
% 9.60/7.16 tff(31733,plain,
% 9.60/7.16 ((~v21(constB96)) <=> v6(constB96)),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31732, 249])).
% 9.60/7.16 tff(31734,plain,
% 9.60/7.16 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB96) <=> (v20(constB96) | v21(constB96)))),
% 9.60/7.16 inference(quant_inst,[status(thm)],[])).
% 9.60/7.16 tff(31735,plain,
% 9.60/7.16 (v19(constB96) <=> (v20(constB96) | v21(constB96))),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31734, 258])).
% 9.60/7.16 tff(31736,plain,
% 9.60/7.16 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB96) <=> (~((~v19(constB96)) | (~v22(constB96)))))),
% 9.60/7.16 inference(quant_inst,[status(thm)],[])).
% 9.60/7.16 tff(31737,plain,
% 9.60/7.16 (v18(constB96) <=> (~((~v19(constB96)) | (~v22(constB96))))),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31736, 270])).
% 9.60/7.16 tff(31738,plain,
% 9.60/7.16 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB96)) <=> v18(constB96))),
% 9.60/7.16 inference(quant_inst,[status(thm)],[])).
% 9.60/7.16 tff(31739,plain,
% 9.60/7.16 ((~v4(constB96)) <=> v18(constB96)),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31738, 279])).
% 9.60/7.16 tff(31740,plain,
% 9.60/7.16 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB96)),
% 9.60/7.16 inference(quant_inst,[status(thm)],[])).
% 9.60/7.16 tff(31741,plain,
% 9.60/7.16 (v4(constB96)),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31740, 288])).
% 9.60/7.16 tff(31742,plain,
% 9.60/7.16 ((~((~v4(constB96)) <=> v18(constB96))) | (~v4(constB96)) | (~v18(constB96))),
% 9.60/7.16 inference(tautology,[status(thm)],[])).
% 9.60/7.16 tff(31743,plain,
% 9.60/7.16 (~v18(constB96)),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31742, 31741, 31739])).
% 9.60/7.16 tff(31744,plain,
% 9.60/7.16 ((~(v18(constB96) <=> (~((~v19(constB96)) | (~v22(constB96)))))) | v18(constB96) | ((~v19(constB96)) | (~v22(constB96)))),
% 9.60/7.16 inference(tautology,[status(thm)],[])).
% 9.60/7.16 tff(31745,plain,
% 9.60/7.16 ((~v19(constB96)) | (~v22(constB96))),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31744, 31743, 31737])).
% 9.60/7.16 tff(31746,plain,
% 9.60/7.16 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB96) <=> (v1(constB96) | v6(constB96)))),
% 9.60/7.16 inference(quant_inst,[status(thm)],[])).
% 9.60/7.16 tff(31747,plain,
% 9.60/7.16 (v22(constB96) <=> (v1(constB96) | v6(constB96))),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31746, 301])).
% 9.60/7.16 tff(31748,plain,
% 9.60/7.16 ((v1(constB96) | v6(constB96)) | (~v1(constB96))),
% 9.60/7.16 inference(tautology,[status(thm)],[])).
% 9.60/7.16 tff(31749,plain,
% 9.60/7.16 (v1(constB96) | v6(constB96)),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31748, 5412])).
% 9.60/7.16 tff(31750,plain,
% 9.60/7.16 ((~(v22(constB96) <=> (v1(constB96) | v6(constB96)))) | v22(constB96) | (~(v1(constB96) | v6(constB96)))),
% 9.60/7.16 inference(tautology,[status(thm)],[])).
% 9.60/7.16 tff(31751,plain,
% 9.60/7.16 ((~(v22(constB96) <=> (v1(constB96) | v6(constB96)))) | v22(constB96)),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31750, 31749])).
% 9.60/7.16 tff(31752,plain,
% 9.60/7.16 (v22(constB96)),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31751, 31747])).
% 9.60/7.16 tff(31753,plain,
% 9.60/7.16 ((~((~v19(constB96)) | (~v22(constB96)))) | (~v19(constB96)) | (~v22(constB96))),
% 9.60/7.16 inference(tautology,[status(thm)],[])).
% 9.60/7.16 tff(31754,plain,
% 9.60/7.16 ((~((~v19(constB96)) | (~v22(constB96)))) | (~v19(constB96))),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31753, 31752])).
% 9.60/7.16 tff(31755,plain,
% 9.60/7.16 (~v19(constB96)),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31754, 31745])).
% 9.60/7.16 tff(31756,plain,
% 9.60/7.16 ((~(v19(constB96) <=> (v20(constB96) | v21(constB96)))) | v19(constB96) | (~(v20(constB96) | v21(constB96)))),
% 9.60/7.16 inference(tautology,[status(thm)],[])).
% 9.60/7.16 tff(31757,plain,
% 9.60/7.16 (~(v20(constB96) | v21(constB96))),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31756, 31755, 31735])).
% 9.60/7.16 tff(31758,plain,
% 9.60/7.16 ((v20(constB96) | v21(constB96)) | (~v21(constB96))),
% 9.60/7.16 inference(tautology,[status(thm)],[])).
% 9.60/7.16 tff(31759,plain,
% 9.60/7.16 (~v21(constB96)),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31758, 31757])).
% 9.60/7.16 tff(31760,plain,
% 9.60/7.16 ((~((~v21(constB96)) <=> v6(constB96))) | v21(constB96) | v6(constB96)),
% 9.60/7.16 inference(tautology,[status(thm)],[])).
% 9.60/7.16 tff(31761,plain,
% 9.60/7.16 (v6(constB96)),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31760, 31759, 31733])).
% 9.60/7.16 tff(31762,plain,
% 9.60/7.16 ((~(v6(constB96) <=> v13(constB96))) | (~v6(constB96)) | v13(constB96)),
% 9.60/7.16 inference(tautology,[status(thm)],[])).
% 9.60/7.16 tff(31763,plain,
% 9.60/7.16 (v13(constB96)),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31762, 31761, 31731])).
% 9.60/7.16 tff(31764,plain,
% 9.60/7.16 ((~(v13(constB96) <=> v9(constB95))) | (~v13(constB96)) | v9(constB95)),
% 9.60/7.16 inference(tautology,[status(thm)],[])).
% 9.60/7.16 tff(31765,plain,
% 9.60/7.16 (v9(constB95)),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31764, 31763, 31729])).
% 9.60/7.16 tff(31766,plain,
% 9.60/7.16 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB95)) <=> v1(constB95))),
% 9.60/7.16 inference(quant_inst,[status(thm)],[])).
% 9.60/7.16 tff(31767,plain,
% 9.60/7.16 ((~v39(constB95)) <=> v1(constB95)),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31766, 139])).
% 9.60/7.16 tff(31768,plain,
% 9.60/7.16 ((~((~v39(constB95)) <=> v1(constB95))) | v39(constB95) | v1(constB95)),
% 9.60/7.16 inference(tautology,[status(thm)],[])).
% 9.60/7.16 tff(31769,plain,
% 9.60/7.16 ((~((~v39(constB95)) <=> v1(constB95))) | v39(constB95)),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31768, 5404])).
% 9.60/7.16 tff(31770,plain,
% 9.60/7.16 (v39(constB95)),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31769, 31767])).
% 9.60/7.16 tff(31771,plain,
% 9.60/7.16 ((~((~v39(constB95)) | (~v9(constB95)))) | (~v39(constB95)) | (~v9(constB95))),
% 9.60/7.16 inference(tautology,[status(thm)],[])).
% 9.60/7.16 tff(31772,plain,
% 9.60/7.16 ((~((~v39(constB95)) | (~v9(constB95)))) | (~v9(constB95))),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31771, 31770])).
% 9.60/7.16 tff(31773,plain,
% 9.60/7.16 (~((~v39(constB95)) | (~v9(constB95)))),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31772, 31765])).
% 9.60/7.16 tff(31774,plain,
% 9.60/7.16 ((~(v141(constB95) <=> (~((~v39(constB95)) | (~v9(constB95)))))) | v141(constB95) | ((~v39(constB95)) | (~v9(constB95)))),
% 9.60/7.16 inference(tautology,[status(thm)],[])).
% 9.60/7.16 tff(31775,plain,
% 9.60/7.16 (v141(constB95)),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31774, 31773, 31725])).
% 9.60/7.16 tff(31776,plain,
% 9.60/7.16 ((v141(constB95) | v26(constB95)) | (~v141(constB95))),
% 9.60/7.16 inference(tautology,[status(thm)],[])).
% 9.60/7.16 tff(31777,plain,
% 9.60/7.16 (v141(constB95) | v26(constB95)),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31776, 31775])).
% 9.60/7.16 tff(31778,plain,
% 9.60/7.16 ((~(v140(constB95) <=> (v141(constB95) | v26(constB95)))) | v140(constB95) | (~(v141(constB95) | v26(constB95)))),
% 9.60/7.16 inference(tautology,[status(thm)],[])).
% 9.60/7.16 tff(31779,plain,
% 9.60/7.16 (v140(constB95)),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31778, 31777, 31723])).
% 9.60/7.16 tff(31780,plain,
% 9.60/7.16 ((~((~v139(constB95)) <=> v140(constB95))) | (~v139(constB95)) | (~v140(constB95))),
% 9.60/7.16 inference(tautology,[status(thm)],[])).
% 9.60/7.16 tff(31781,plain,
% 9.60/7.16 (~v139(constB95)),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31780, 31779, 31721])).
% 9.60/7.16 tff(31782,plain,
% 9.60/7.16 (((~v130(constB95)) | (~v139(constB95))) | v139(constB95)),
% 9.60/7.16 inference(tautology,[status(thm)],[])).
% 9.60/7.16 tff(31783,plain,
% 9.60/7.16 ((~v130(constB95)) | (~v139(constB95))),
% 9.60/7.16 inference(unit_resolution,[status(thm)],[31782, 31781])).
% 9.60/7.16 tff(31784,plain,
% 9.60/7.16 ((~(v155(constB95) <=> (~((~v130(constB95)) | (~v139(constB95)))))) | (~v155(constB95)) | (~((~v130(constB95)) | (~v139(constB95))))),
% 9.60/7.17 inference(tautology,[status(thm)],[])).
% 9.60/7.17 tff(31785,plain,
% 9.60/7.17 (~v155(constB95)),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31784, 31783, 31719])).
% 9.60/7.17 tff(31786,plain,
% 9.60/7.17 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB95) <=> (~((~v132(constB95)) | (~v154(constB95)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB95) <=> (~((~v132(constB95)) | (~v154(constB95))))))),
% 9.60/7.17 inference(rewrite,[status(thm)],[])).
% 9.60/7.17 tff(31787,plain,
% 9.60/7.17 ((v153(constB95) <=> (~((~v154(constB95)) | (~v132(constB95))))) <=> (v153(constB95) <=> (~((~v132(constB95)) | (~v154(constB95)))))),
% 9.60/7.17 inference(rewrite,[status(thm)],[])).
% 9.60/7.17 tff(31788,plain,
% 9.60/7.17 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB95) <=> (~((~v154(constB95)) | (~v132(constB95)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB95) <=> (~((~v132(constB95)) | (~v154(constB95))))))),
% 9.60/7.17 inference(monotonicity,[status(thm)],[31787])).
% 9.60/7.17 tff(31789,plain,
% 9.60/7.17 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB95) <=> (~((~v154(constB95)) | (~v132(constB95)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB95) <=> (~((~v132(constB95)) | (~v154(constB95))))))),
% 9.60/7.17 inference(transitivity,[status(thm)],[31788, 31786])).
% 9.60/7.17 tff(31790,plain,
% 9.60/7.17 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB95) <=> (~((~v154(constB95)) | (~v132(constB95)))))),
% 9.60/7.17 inference(quant_inst,[status(thm)],[])).
% 9.60/7.17 tff(31791,plain,
% 9.60/7.17 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB95) <=> (~((~v132(constB95)) | (~v154(constB95)))))),
% 9.60/7.17 inference(modus_ponens,[status(thm)],[31790, 31789])).
% 9.60/7.17 tff(31792,plain,
% 9.60/7.17 (v153(constB95) <=> (~((~v132(constB95)) | (~v154(constB95))))),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31791, 399])).
% 9.60/7.17 tff(31793,plain,
% 9.60/7.17 ((~![VarNext: $i] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB95) <=> v137(constB95))),
% 9.60/7.17 inference(quant_inst,[status(thm)],[])).
% 9.60/7.17 tff(31794,plain,
% 9.60/7.17 (v132(constB95) <=> v137(constB95)),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31793, 558])).
% 9.60/7.17 tff(31795,plain,
% 9.60/7.17 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB94, constB95)) | (v137(constB95) <=> v135(constB94)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB94, constB95)) | (v137(constB95) <=> v135(constB94)))),
% 9.60/7.17 inference(rewrite,[status(thm)],[])).
% 9.60/7.17 tff(31796,plain,
% 9.60/7.17 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB94, constB95)) | (v137(constB95) <=> v135(constB94)))),
% 9.60/7.17 inference(quant_inst,[status(thm)],[])).
% 9.60/7.17 tff(31797,plain,
% 9.60/7.17 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB94, constB95)) | (v137(constB95) <=> v135(constB94))),
% 9.60/7.17 inference(modus_ponens,[status(thm)],[31796, 31795])).
% 9.60/7.17 tff(31798,plain,
% 9.60/7.17 (v137(constB95) <=> v135(constB94)),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31797, 5439, 570])).
% 9.60/7.17 tff(31799,plain,
% 9.60/7.17 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB94) <=> (v138(constB94) | v142(constB94)))),
% 9.60/7.17 inference(quant_inst,[status(thm)],[])).
% 9.60/7.17 tff(31800,plain,
% 9.60/7.17 (v135(constB94) <=> (v138(constB94) | v142(constB94))),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31799, 584])).
% 9.60/7.17 tff(31801,plain,
% 9.60/7.17 ((~![VarCurr: $i] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB94) <=> (~((~v143(constB94)) | (~v144(constB94)))))),
% 9.60/7.17 inference(quant_inst,[status(thm)],[])).
% 9.60/7.17 tff(31802,plain,
% 9.60/7.17 (v142(constB94) <=> (~((~v143(constB94)) | (~v144(constB94))))),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31801, 596])).
% 9.60/7.17 tff(31803,plain,
% 9.60/7.17 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB94) <=> (~((~v141(constB94)) | (~v145(constB94)))))),
% 9.60/7.17 inference(quant_inst,[status(thm)],[])).
% 9.60/7.17 tff(31804,plain,
% 9.60/7.17 (v144(constB94) <=> (~((~v141(constB94)) | (~v145(constB94))))),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31803, 608])).
% 9.60/7.17 tff(31805,plain,
% 9.60/7.17 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB94) <=> (~((~v39(constB94)) | (~v9(constB94)))))),
% 9.60/7.17 inference(quant_inst,[status(thm)],[])).
% 9.60/7.17 tff(31806,plain,
% 9.60/7.17 (v141(constB94) <=> (~((~v39(constB94)) | (~v9(constB94))))),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31805, 130])).
% 9.60/7.17 tff(31807,plain,
% 9.60/7.17 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB94)) <=> v1(constB94))),
% 9.60/7.17 inference(quant_inst,[status(thm)],[])).
% 9.60/7.17 tff(31808,plain,
% 9.60/7.17 ((~v39(constB94)) <=> v1(constB94)),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31807, 139])).
% 9.60/7.17 tff(31809,plain,
% 9.60/7.17 ((~((~v39(constB94)) <=> v1(constB94))) | (~v39(constB94)) | (~v1(constB94))),
% 9.60/7.17 inference(tautology,[status(thm)],[])).
% 9.60/7.17 tff(31810,plain,
% 9.60/7.17 ((~((~v39(constB94)) <=> v1(constB94))) | (~v39(constB94))),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31809, 5501])).
% 9.60/7.17 tff(31811,plain,
% 9.60/7.17 (~v39(constB94)),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31810, 31808])).
% 9.60/7.17 tff(31812,plain,
% 9.60/7.17 (((~v39(constB94)) | (~v9(constB94))) | v39(constB94)),
% 9.60/7.17 inference(tautology,[status(thm)],[])).
% 9.60/7.17 tff(31813,plain,
% 9.60/7.17 ((~v39(constB94)) | (~v9(constB94))),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31812, 31811])).
% 9.60/7.17 tff(31814,plain,
% 9.60/7.17 ((~(v141(constB94) <=> (~((~v39(constB94)) | (~v9(constB94)))))) | (~v141(constB94)) | (~((~v39(constB94)) | (~v9(constB94))))),
% 9.60/7.17 inference(tautology,[status(thm)],[])).
% 9.60/7.17 tff(31815,plain,
% 9.60/7.17 ((~(v141(constB94) <=> (~((~v39(constB94)) | (~v9(constB94)))))) | (~v141(constB94))),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31814, 31813])).
% 9.60/7.17 tff(31816,plain,
% 9.60/7.17 (~v141(constB94)),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31815, 31806])).
% 9.60/7.17 tff(31817,plain,
% 9.60/7.17 (((~v141(constB94)) | (~v145(constB94))) | v141(constB94)),
% 9.60/7.17 inference(tautology,[status(thm)],[])).
% 9.60/7.17 tff(31818,plain,
% 9.60/7.17 ((~v141(constB94)) | (~v145(constB94))),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31817, 31816])).
% 9.60/7.17 tff(31819,plain,
% 9.60/7.17 ((~(v144(constB94) <=> (~((~v141(constB94)) | (~v145(constB94)))))) | (~v144(constB94)) | (~((~v141(constB94)) | (~v145(constB94))))),
% 9.60/7.17 inference(tautology,[status(thm)],[])).
% 9.60/7.17 tff(31820,plain,
% 9.60/7.17 ((~(v144(constB94) <=> (~((~v141(constB94)) | (~v145(constB94)))))) | (~v144(constB94))),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31819, 31818])).
% 9.60/7.17 tff(31821,plain,
% 9.60/7.17 (~v144(constB94)),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31820, 31804])).
% 9.60/7.17 tff(31822,plain,
% 9.60/7.17 (((~v143(constB94)) | (~v144(constB94))) | v144(constB94)),
% 9.60/7.17 inference(tautology,[status(thm)],[])).
% 9.60/7.17 tff(31823,plain,
% 9.60/7.17 ((~v143(constB94)) | (~v144(constB94))),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31822, 31821])).
% 9.60/7.17 tff(31824,plain,
% 9.60/7.17 ((~(v142(constB94) <=> (~((~v143(constB94)) | (~v144(constB94)))))) | (~v142(constB94)) | (~((~v143(constB94)) | (~v144(constB94))))),
% 9.60/7.17 inference(tautology,[status(thm)],[])).
% 9.60/7.17 tff(31825,plain,
% 9.60/7.17 (~v142(constB94)),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31824, 31823, 31802])).
% 9.60/7.17 tff(31826,plain,
% 9.60/7.17 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB94) <=> (~((~v132(constB94)) | (~v139(constB94)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB94) <=> (~((~v132(constB94)) | (~v139(constB94))))))),
% 9.60/7.17 inference(rewrite,[status(thm)],[])).
% 9.60/7.17 tff(31827,plain,
% 9.60/7.17 ((v138(constB94) <=> (~((~v139(constB94)) | (~v132(constB94))))) <=> (v138(constB94) <=> (~((~v132(constB94)) | (~v139(constB94)))))),
% 9.60/7.17 inference(rewrite,[status(thm)],[])).
% 9.60/7.17 tff(31828,plain,
% 9.60/7.17 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB94) <=> (~((~v139(constB94)) | (~v132(constB94)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB94) <=> (~((~v132(constB94)) | (~v139(constB94))))))),
% 9.60/7.17 inference(monotonicity,[status(thm)],[31827])).
% 9.60/7.17 tff(31829,plain,
% 9.60/7.17 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB94) <=> (~((~v139(constB94)) | (~v132(constB94)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB94) <=> (~((~v132(constB94)) | (~v139(constB94))))))),
% 9.60/7.17 inference(transitivity,[status(thm)],[31828, 31826])).
% 9.60/7.17 tff(31830,plain,
% 9.60/7.17 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB94) <=> (~((~v139(constB94)) | (~v132(constB94)))))),
% 9.60/7.17 inference(quant_inst,[status(thm)],[])).
% 9.60/7.17 tff(31831,plain,
% 9.60/7.17 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB94) <=> (~((~v132(constB94)) | (~v139(constB94)))))),
% 9.60/7.17 inference(modus_ponens,[status(thm)],[31830, 31829])).
% 9.60/7.17 tff(31832,plain,
% 9.60/7.17 (v138(constB94) <=> (~((~v132(constB94)) | (~v139(constB94))))),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31831, 644])).
% 9.60/7.17 tff(31833,plain,
% 9.60/7.17 ((~![VarNext: $i] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB94) <=> v137(constB94))),
% 9.60/7.17 inference(quant_inst,[status(thm)],[])).
% 9.60/7.17 tff(31834,plain,
% 9.60/7.17 (v132(constB94) <=> v137(constB94)),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31833, 558])).
% 9.60/7.17 tff(31835,plain,
% 9.60/7.17 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB93, constB94)) | (v137(constB94) <=> v135(constB93)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB93, constB94)) | (v137(constB94) <=> v135(constB93)))),
% 9.60/7.17 inference(rewrite,[status(thm)],[])).
% 9.60/7.17 tff(31836,plain,
% 9.60/7.17 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB93, constB94)) | (v137(constB94) <=> v135(constB93)))),
% 9.60/7.17 inference(quant_inst,[status(thm)],[])).
% 9.60/7.17 tff(31837,plain,
% 9.60/7.17 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB93, constB94)) | (v137(constB94) <=> v135(constB93))),
% 9.60/7.17 inference(modus_ponens,[status(thm)],[31836, 31835])).
% 9.60/7.17 tff(31838,plain,
% 9.60/7.17 (v137(constB94) <=> v135(constB93)),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31837, 5471, 570])).
% 9.60/7.17 tff(31839,plain,
% 9.60/7.17 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB93) <=> (v138(constB93) | v142(constB93)))),
% 9.60/7.17 inference(quant_inst,[status(thm)],[])).
% 9.60/7.17 tff(31840,plain,
% 9.60/7.17 (v135(constB93) <=> (v138(constB93) | v142(constB93))),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31839, 584])).
% 9.60/7.17 tff(31841,plain,
% 9.60/7.17 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB93) <=> (~((~v132(constB93)) | (~v139(constB93)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB93) <=> (~((~v132(constB93)) | (~v139(constB93))))))),
% 9.60/7.17 inference(rewrite,[status(thm)],[])).
% 9.60/7.17 tff(31842,plain,
% 9.60/7.17 ((v138(constB93) <=> (~((~v139(constB93)) | (~v132(constB93))))) <=> (v138(constB93) <=> (~((~v132(constB93)) | (~v139(constB93)))))),
% 9.60/7.17 inference(rewrite,[status(thm)],[])).
% 9.60/7.17 tff(31843,plain,
% 9.60/7.17 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB93) <=> (~((~v139(constB93)) | (~v132(constB93)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB93) <=> (~((~v132(constB93)) | (~v139(constB93))))))),
% 9.60/7.17 inference(monotonicity,[status(thm)],[31842])).
% 9.60/7.17 tff(31844,plain,
% 9.60/7.17 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB93) <=> (~((~v139(constB93)) | (~v132(constB93)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB93) <=> (~((~v132(constB93)) | (~v139(constB93))))))),
% 9.60/7.17 inference(transitivity,[status(thm)],[31843, 31841])).
% 9.60/7.17 tff(31845,plain,
% 9.60/7.17 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB93) <=> (~((~v139(constB93)) | (~v132(constB93)))))),
% 9.60/7.17 inference(quant_inst,[status(thm)],[])).
% 9.60/7.17 tff(31846,plain,
% 9.60/7.17 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB93) <=> (~((~v132(constB93)) | (~v139(constB93)))))),
% 9.60/7.17 inference(modus_ponens,[status(thm)],[31845, 31844])).
% 9.60/7.17 tff(31847,plain,
% 9.60/7.17 (v138(constB93) <=> (~((~v132(constB93)) | (~v139(constB93))))),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31846, 644])).
% 9.60/7.17 tff(31848,plain,
% 9.60/7.17 ((~![VarCurr: $i] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB93)) <=> v140(constB93))),
% 9.60/7.17 inference(quant_inst,[status(thm)],[])).
% 9.60/7.17 tff(31849,plain,
% 9.60/7.17 ((~v139(constB93)) <=> v140(constB93)),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31848, 203])).
% 9.60/7.17 tff(31850,plain,
% 9.60/7.17 ((~![VarCurr: $i] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB93) <=> (v141(constB93) | v26(constB93)))),
% 9.60/7.17 inference(quant_inst,[status(thm)],[])).
% 9.60/7.17 tff(31851,plain,
% 9.60/7.17 (v140(constB93) <=> (v141(constB93) | v26(constB93))),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31850, 212])).
% 9.60/7.17 tff(31852,plain,
% 9.60/7.17 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB93) <=> (~((~v39(constB93)) | (~v9(constB93)))))),
% 9.60/7.17 inference(quant_inst,[status(thm)],[])).
% 9.60/7.17 tff(31853,plain,
% 9.60/7.17 (v141(constB93) <=> (~((~v39(constB93)) | (~v9(constB93))))),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31852, 130])).
% 9.60/7.17 tff(31854,plain,
% 9.60/7.17 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB93, constB94)) | (v13(constB94) <=> v9(constB93)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB93, constB94)) | (v13(constB94) <=> v9(constB93)))),
% 9.60/7.17 inference(rewrite,[status(thm)],[])).
% 9.60/7.17 tff(31855,plain,
% 9.60/7.17 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB93, constB94)) | (v13(constB94) <=> v9(constB93)))),
% 9.60/7.17 inference(quant_inst,[status(thm)],[])).
% 9.60/7.17 tff(31856,plain,
% 9.60/7.17 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB93, constB94)) | (v13(constB94) <=> v9(constB93))),
% 9.60/7.17 inference(modus_ponens,[status(thm)],[31855, 31854])).
% 9.60/7.17 tff(31857,plain,
% 9.60/7.17 (v13(constB94) <=> v9(constB93)),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31856, 5471, 226])).
% 9.60/7.17 tff(31858,plain,
% 9.60/7.17 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB94) <=> v13(constB94))),
% 9.60/7.17 inference(quant_inst,[status(thm)],[])).
% 9.60/7.17 tff(31859,plain,
% 9.60/7.17 (v6(constB94) <=> v13(constB94)),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31858, 240])).
% 9.60/7.17 tff(31860,plain,
% 9.60/7.17 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB94)) <=> v6(constB94))),
% 9.60/7.17 inference(quant_inst,[status(thm)],[])).
% 9.60/7.17 tff(31861,plain,
% 9.60/7.17 ((~v21(constB94)) <=> v6(constB94)),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31860, 249])).
% 9.60/7.17 tff(31862,plain,
% 9.60/7.17 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB94) <=> (v20(constB94) | v21(constB94)))),
% 9.60/7.17 inference(quant_inst,[status(thm)],[])).
% 9.60/7.17 tff(31863,plain,
% 9.60/7.17 (v19(constB94) <=> (v20(constB94) | v21(constB94))),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31862, 258])).
% 9.60/7.17 tff(31864,plain,
% 9.60/7.17 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB94) <=> (~((~v19(constB94)) | (~v22(constB94)))))),
% 9.60/7.17 inference(quant_inst,[status(thm)],[])).
% 9.60/7.17 tff(31865,plain,
% 9.60/7.17 (v18(constB94) <=> (~((~v19(constB94)) | (~v22(constB94))))),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31864, 270])).
% 9.60/7.17 tff(31866,plain,
% 9.60/7.17 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB94)) <=> v18(constB94))),
% 9.60/7.17 inference(quant_inst,[status(thm)],[])).
% 9.60/7.17 tff(31867,plain,
% 9.60/7.17 ((~v4(constB94)) <=> v18(constB94)),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31866, 279])).
% 9.60/7.17 tff(31868,plain,
% 9.60/7.17 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB94)),
% 9.60/7.17 inference(quant_inst,[status(thm)],[])).
% 9.60/7.17 tff(31869,plain,
% 9.60/7.17 (v4(constB94)),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31868, 288])).
% 9.60/7.17 tff(31870,plain,
% 9.60/7.17 ((~((~v4(constB94)) <=> v18(constB94))) | (~v4(constB94)) | (~v18(constB94))),
% 9.60/7.17 inference(tautology,[status(thm)],[])).
% 9.60/7.17 tff(31871,plain,
% 9.60/7.17 (~v18(constB94)),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31870, 31869, 31867])).
% 9.60/7.17 tff(31872,plain,
% 9.60/7.17 ((~(v18(constB94) <=> (~((~v19(constB94)) | (~v22(constB94)))))) | v18(constB94) | ((~v19(constB94)) | (~v22(constB94)))),
% 9.60/7.17 inference(tautology,[status(thm)],[])).
% 9.60/7.17 tff(31873,plain,
% 9.60/7.17 ((~v19(constB94)) | (~v22(constB94))),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31872, 31871, 31865])).
% 9.60/7.17 tff(31874,plain,
% 9.60/7.17 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB94) <=> (v1(constB94) | v6(constB94)))),
% 9.60/7.17 inference(quant_inst,[status(thm)],[])).
% 9.60/7.17 tff(31875,plain,
% 9.60/7.17 (v22(constB94) <=> (v1(constB94) | v6(constB94))),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31874, 301])).
% 9.60/7.17 tff(31876,plain,
% 9.60/7.17 ((v1(constB94) | v6(constB94)) | (~v1(constB94))),
% 9.60/7.17 inference(tautology,[status(thm)],[])).
% 9.60/7.17 tff(31877,plain,
% 9.60/7.17 (v1(constB94) | v6(constB94)),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31876, 5501])).
% 9.60/7.17 tff(31878,plain,
% 9.60/7.17 ((~(v22(constB94) <=> (v1(constB94) | v6(constB94)))) | v22(constB94) | (~(v1(constB94) | v6(constB94)))),
% 9.60/7.17 inference(tautology,[status(thm)],[])).
% 9.60/7.17 tff(31879,plain,
% 9.60/7.17 ((~(v22(constB94) <=> (v1(constB94) | v6(constB94)))) | v22(constB94)),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31878, 31877])).
% 9.60/7.17 tff(31880,plain,
% 9.60/7.17 (v22(constB94)),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31879, 31875])).
% 9.60/7.17 tff(31881,plain,
% 9.60/7.17 ((~((~v19(constB94)) | (~v22(constB94)))) | (~v19(constB94)) | (~v22(constB94))),
% 9.60/7.17 inference(tautology,[status(thm)],[])).
% 9.60/7.17 tff(31882,plain,
% 9.60/7.17 ((~((~v19(constB94)) | (~v22(constB94)))) | (~v19(constB94))),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31881, 31880])).
% 9.60/7.17 tff(31883,plain,
% 9.60/7.17 (~v19(constB94)),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31882, 31873])).
% 9.60/7.17 tff(31884,plain,
% 9.60/7.17 ((~(v19(constB94) <=> (v20(constB94) | v21(constB94)))) | v19(constB94) | (~(v20(constB94) | v21(constB94)))),
% 9.60/7.17 inference(tautology,[status(thm)],[])).
% 9.60/7.17 tff(31885,plain,
% 9.60/7.17 (~(v20(constB94) | v21(constB94))),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31884, 31883, 31863])).
% 9.60/7.17 tff(31886,plain,
% 9.60/7.17 ((v20(constB94) | v21(constB94)) | (~v21(constB94))),
% 9.60/7.17 inference(tautology,[status(thm)],[])).
% 9.60/7.17 tff(31887,plain,
% 9.60/7.17 (~v21(constB94)),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31886, 31885])).
% 9.60/7.17 tff(31888,plain,
% 9.60/7.17 ((~((~v21(constB94)) <=> v6(constB94))) | v21(constB94) | v6(constB94)),
% 9.60/7.17 inference(tautology,[status(thm)],[])).
% 9.60/7.17 tff(31889,plain,
% 9.60/7.17 (v6(constB94)),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31888, 31887, 31861])).
% 9.60/7.17 tff(31890,plain,
% 9.60/7.17 ((~(v6(constB94) <=> v13(constB94))) | (~v6(constB94)) | v13(constB94)),
% 9.60/7.17 inference(tautology,[status(thm)],[])).
% 9.60/7.17 tff(31891,plain,
% 9.60/7.17 (v13(constB94)),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31890, 31889, 31859])).
% 9.60/7.17 tff(31892,plain,
% 9.60/7.17 ((~(v13(constB94) <=> v9(constB93))) | (~v13(constB94)) | v9(constB93)),
% 9.60/7.17 inference(tautology,[status(thm)],[])).
% 9.60/7.17 tff(31893,plain,
% 9.60/7.17 (v9(constB93)),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31892, 31891, 31857])).
% 9.60/7.17 tff(31894,plain,
% 9.60/7.17 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB93)) <=> v1(constB93))),
% 9.60/7.17 inference(quant_inst,[status(thm)],[])).
% 9.60/7.17 tff(31895,plain,
% 9.60/7.17 ((~v39(constB93)) <=> v1(constB93)),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31894, 139])).
% 9.60/7.17 tff(31896,plain,
% 9.60/7.17 ((~((~v39(constB93)) <=> v1(constB93))) | v39(constB93) | v1(constB93)),
% 9.60/7.17 inference(tautology,[status(thm)],[])).
% 9.60/7.17 tff(31897,plain,
% 9.60/7.17 ((~((~v39(constB93)) <=> v1(constB93))) | v39(constB93)),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31896, 5493])).
% 9.60/7.17 tff(31898,plain,
% 9.60/7.17 (v39(constB93)),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31897, 31895])).
% 9.60/7.17 tff(31899,plain,
% 9.60/7.17 ((~((~v39(constB93)) | (~v9(constB93)))) | (~v39(constB93)) | (~v9(constB93))),
% 9.60/7.17 inference(tautology,[status(thm)],[])).
% 9.60/7.17 tff(31900,plain,
% 9.60/7.17 ((~((~v39(constB93)) | (~v9(constB93)))) | (~v9(constB93))),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31899, 31898])).
% 9.60/7.17 tff(31901,plain,
% 9.60/7.17 (~((~v39(constB93)) | (~v9(constB93)))),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31900, 31893])).
% 9.60/7.17 tff(31902,plain,
% 9.60/7.17 ((~(v141(constB93) <=> (~((~v39(constB93)) | (~v9(constB93)))))) | v141(constB93) | ((~v39(constB93)) | (~v9(constB93)))),
% 9.60/7.17 inference(tautology,[status(thm)],[])).
% 9.60/7.17 tff(31903,plain,
% 9.60/7.17 (v141(constB93)),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31902, 31901, 31853])).
% 9.60/7.17 tff(31904,plain,
% 9.60/7.17 ((v141(constB93) | v26(constB93)) | (~v141(constB93))),
% 9.60/7.17 inference(tautology,[status(thm)],[])).
% 9.60/7.17 tff(31905,plain,
% 9.60/7.17 (v141(constB93) | v26(constB93)),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31904, 31903])).
% 9.60/7.17 tff(31906,plain,
% 9.60/7.17 ((~(v140(constB93) <=> (v141(constB93) | v26(constB93)))) | v140(constB93) | (~(v141(constB93) | v26(constB93)))),
% 9.60/7.17 inference(tautology,[status(thm)],[])).
% 9.60/7.17 tff(31907,plain,
% 9.60/7.17 (v140(constB93)),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31906, 31905, 31851])).
% 9.60/7.17 tff(31908,plain,
% 9.60/7.17 ((~((~v139(constB93)) <=> v140(constB93))) | (~v139(constB93)) | (~v140(constB93))),
% 9.60/7.17 inference(tautology,[status(thm)],[])).
% 9.60/7.17 tff(31909,plain,
% 9.60/7.17 (~v139(constB93)),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31908, 31907, 31849])).
% 9.60/7.17 tff(31910,plain,
% 9.60/7.17 (((~v132(constB93)) | (~v139(constB93))) | v139(constB93)),
% 9.60/7.17 inference(tautology,[status(thm)],[])).
% 9.60/7.17 tff(31911,plain,
% 9.60/7.17 ((~v132(constB93)) | (~v139(constB93))),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31910, 31909])).
% 9.60/7.17 tff(31912,plain,
% 9.60/7.17 ((~(v138(constB93) <=> (~((~v132(constB93)) | (~v139(constB93)))))) | (~v138(constB93)) | (~((~v132(constB93)) | (~v139(constB93))))),
% 9.60/7.17 inference(tautology,[status(thm)],[])).
% 9.60/7.17 tff(31913,plain,
% 9.60/7.17 (~v138(constB93)),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31912, 31911, 31847])).
% 9.60/7.17 tff(31914,plain,
% 9.60/7.17 ((~![VarCurr: $i] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB93) <=> (~((~v143(constB93)) | (~v144(constB93)))))),
% 9.60/7.17 inference(quant_inst,[status(thm)],[])).
% 9.60/7.17 tff(31915,plain,
% 9.60/7.17 (v142(constB93) <=> (~((~v143(constB93)) | (~v144(constB93))))),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31914, 596])).
% 9.60/7.17 tff(31916,plain,
% 9.60/7.17 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB93) <=> (~((~v141(constB93)) | (~v145(constB93)))))),
% 9.60/7.17 inference(quant_inst,[status(thm)],[])).
% 9.60/7.17 tff(31917,plain,
% 9.60/7.17 (v144(constB93) <=> (~((~v141(constB93)) | (~v145(constB93))))),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31916, 608])).
% 9.60/7.17 tff(31918,plain,
% 9.60/7.17 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB93) <=> (~(v84(constB93, bitIndex2) | v84(constB93, bitIndex1) | (~v84(constB93, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB93) <=> (~(v84(constB93, bitIndex2) | v84(constB93, bitIndex1) | (~v84(constB93, bitIndex0))))))),
% 9.60/7.17 inference(rewrite,[status(thm)],[])).
% 9.60/7.17 tff(31919,plain,
% 9.60/7.17 ((v145(constB93) <=> (~(v84(constB93, bitIndex1) | v84(constB93, bitIndex2) | (~v84(constB93, bitIndex0))))) <=> (v145(constB93) <=> (~(v84(constB93, bitIndex2) | v84(constB93, bitIndex1) | (~v84(constB93, bitIndex0)))))),
% 9.60/7.17 inference(rewrite,[status(thm)],[])).
% 9.60/7.17 tff(31920,plain,
% 9.60/7.17 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB93) <=> (~(v84(constB93, bitIndex1) | v84(constB93, bitIndex2) | (~v84(constB93, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB93) <=> (~(v84(constB93, bitIndex2) | v84(constB93, bitIndex1) | (~v84(constB93, bitIndex0))))))),
% 9.60/7.17 inference(monotonicity,[status(thm)],[31919])).
% 9.60/7.17 tff(31921,plain,
% 9.60/7.17 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB93) <=> (~(v84(constB93, bitIndex1) | v84(constB93, bitIndex2) | (~v84(constB93, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB93) <=> (~(v84(constB93, bitIndex2) | v84(constB93, bitIndex1) | (~v84(constB93, bitIndex0))))))),
% 9.60/7.17 inference(transitivity,[status(thm)],[31920, 31918])).
% 9.60/7.17 tff(31922,plain,
% 9.60/7.17 ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB93) <=> (~(v84(constB93, bitIndex1) | v84(constB93, bitIndex2) | (~v84(constB93, bitIndex0)))))),
% 9.60/7.17 inference(quant_inst,[status(thm)],[])).
% 9.60/7.17 tff(31923,plain,
% 9.60/7.17 ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB93) <=> (~(v84(constB93, bitIndex2) | v84(constB93, bitIndex1) | (~v84(constB93, bitIndex0)))))),
% 9.60/7.17 inference(modus_ponens,[status(thm)],[31922, 31921])).
% 9.60/7.17 tff(31924,plain,
% 9.60/7.17 (v145(constB93) <=> (~(v84(constB93, bitIndex2) | v84(constB93, bitIndex1) | (~v84(constB93, bitIndex0))))),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31923, 755])).
% 9.60/7.17 tff(31925,plain,
% 9.60/7.17 ((v84(constB93, bitIndex2) | v84(constB93, bitIndex1) | (~v84(constB93, bitIndex0))) | (~v84(constB93, bitIndex2))),
% 9.60/7.17 inference(tautology,[status(thm)],[])).
% 9.60/7.17 tff(31926,plain,
% 9.60/7.17 (v84(constB93, bitIndex2) | v84(constB93, bitIndex1) | (~v84(constB93, bitIndex0))),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31925, 17391])).
% 9.60/7.17 tff(31927,plain,
% 9.60/7.17 ((~(v145(constB93) <=> (~(v84(constB93, bitIndex2) | v84(constB93, bitIndex1) | (~v84(constB93, bitIndex0)))))) | (~v145(constB93)) | (~(v84(constB93, bitIndex2) | v84(constB93, bitIndex1) | (~v84(constB93, bitIndex0))))),
% 9.60/7.17 inference(tautology,[status(thm)],[])).
% 9.60/7.17 tff(31928,plain,
% 9.60/7.17 (~v145(constB93)),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31927, 31926, 31924])).
% 9.60/7.17 tff(31929,plain,
% 9.60/7.17 (((~v141(constB93)) | (~v145(constB93))) | v145(constB93)),
% 9.60/7.17 inference(tautology,[status(thm)],[])).
% 9.60/7.17 tff(31930,plain,
% 9.60/7.17 ((~v141(constB93)) | (~v145(constB93))),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31929, 31928])).
% 9.60/7.17 tff(31931,plain,
% 9.60/7.17 ((~(v144(constB93) <=> (~((~v141(constB93)) | (~v145(constB93)))))) | (~v144(constB93)) | (~((~v141(constB93)) | (~v145(constB93))))),
% 9.60/7.17 inference(tautology,[status(thm)],[])).
% 9.60/7.17 tff(31932,plain,
% 9.60/7.17 (~v144(constB93)),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31931, 31930, 31917])).
% 9.60/7.17 tff(31933,plain,
% 9.60/7.17 (((~v143(constB93)) | (~v144(constB93))) | v144(constB93)),
% 9.60/7.17 inference(tautology,[status(thm)],[])).
% 9.60/7.17 tff(31934,plain,
% 9.60/7.17 ((~v143(constB93)) | (~v144(constB93))),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31933, 31932])).
% 9.60/7.17 tff(31935,plain,
% 9.60/7.17 ((~(v142(constB93) <=> (~((~v143(constB93)) | (~v144(constB93)))))) | (~v142(constB93)) | (~((~v143(constB93)) | (~v144(constB93))))),
% 9.60/7.17 inference(tautology,[status(thm)],[])).
% 9.60/7.17 tff(31936,plain,
% 9.60/7.17 (~v142(constB93)),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31935, 31934, 31915])).
% 9.60/7.17 tff(31937,plain,
% 9.60/7.17 ((~(v138(constB93) | v142(constB93))) | v138(constB93) | v142(constB93)),
% 9.60/7.17 inference(tautology,[status(thm)],[])).
% 9.60/7.17 tff(31938,plain,
% 9.60/7.17 (~(v138(constB93) | v142(constB93))),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31937, 31936, 31913])).
% 9.60/7.17 tff(31939,plain,
% 9.60/7.17 ((~(v135(constB93) <=> (v138(constB93) | v142(constB93)))) | (~v135(constB93)) | (v138(constB93) | v142(constB93))),
% 9.60/7.17 inference(tautology,[status(thm)],[])).
% 9.60/7.17 tff(31940,plain,
% 9.60/7.17 (~v135(constB93)),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31939, 31938, 31840])).
% 9.60/7.17 tff(31941,plain,
% 9.60/7.17 ((~(v137(constB94) <=> v135(constB93))) | (~v137(constB94)) | v135(constB93)),
% 9.60/7.17 inference(tautology,[status(thm)],[])).
% 9.60/7.17 tff(31942,plain,
% 9.60/7.17 (~v137(constB94)),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31941, 31940, 31838])).
% 9.60/7.17 tff(31943,plain,
% 9.60/7.17 ((~(v132(constB94) <=> v137(constB94))) | (~v132(constB94)) | v137(constB94)),
% 9.60/7.17 inference(tautology,[status(thm)],[])).
% 9.60/7.17 tff(31944,plain,
% 9.60/7.17 (~v132(constB94)),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31943, 31942, 31834])).
% 9.60/7.17 tff(31945,plain,
% 9.60/7.17 (((~v132(constB94)) | (~v139(constB94))) | v132(constB94)),
% 9.60/7.17 inference(tautology,[status(thm)],[])).
% 9.60/7.17 tff(31946,plain,
% 9.60/7.17 ((~v132(constB94)) | (~v139(constB94))),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31945, 31944])).
% 9.60/7.17 tff(31947,plain,
% 9.60/7.17 ((~(v138(constB94) <=> (~((~v132(constB94)) | (~v139(constB94)))))) | (~v138(constB94)) | (~((~v132(constB94)) | (~v139(constB94))))),
% 9.60/7.17 inference(tautology,[status(thm)],[])).
% 9.60/7.17 tff(31948,plain,
% 9.60/7.17 (~v138(constB94)),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31947, 31946, 31832])).
% 9.60/7.17 tff(31949,plain,
% 9.60/7.17 ((~(v138(constB94) | v142(constB94))) | v138(constB94) | v142(constB94)),
% 9.60/7.17 inference(tautology,[status(thm)],[])).
% 9.60/7.17 tff(31950,plain,
% 9.60/7.17 (~(v138(constB94) | v142(constB94))),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31949, 31948, 31825])).
% 9.60/7.17 tff(31951,plain,
% 9.60/7.17 ((~(v135(constB94) <=> (v138(constB94) | v142(constB94)))) | (~v135(constB94)) | (v138(constB94) | v142(constB94))),
% 9.60/7.17 inference(tautology,[status(thm)],[])).
% 9.60/7.17 tff(31952,plain,
% 9.60/7.17 (~v135(constB94)),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31951, 31950, 31800])).
% 9.60/7.17 tff(31953,plain,
% 9.60/7.17 ((~(v137(constB95) <=> v135(constB94))) | (~v137(constB95)) | v135(constB94)),
% 9.60/7.17 inference(tautology,[status(thm)],[])).
% 9.60/7.17 tff(31954,plain,
% 9.60/7.17 (~v137(constB95)),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31953, 31952, 31798])).
% 9.60/7.17 tff(31955,plain,
% 9.60/7.17 ((~(v132(constB95) <=> v137(constB95))) | (~v132(constB95)) | v137(constB95)),
% 9.60/7.17 inference(tautology,[status(thm)],[])).
% 9.60/7.17 tff(31956,plain,
% 9.60/7.17 (~v132(constB95)),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31955, 31954, 31794])).
% 9.60/7.17 tff(31957,plain,
% 9.60/7.17 (((~v132(constB95)) | (~v154(constB95))) | v132(constB95)),
% 9.60/7.17 inference(tautology,[status(thm)],[])).
% 9.60/7.17 tff(31958,plain,
% 9.60/7.17 ((~v132(constB95)) | (~v154(constB95))),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31957, 31956])).
% 9.60/7.17 tff(31959,plain,
% 9.60/7.17 ((~(v153(constB95) <=> (~((~v132(constB95)) | (~v154(constB95)))))) | (~v153(constB95)) | (~((~v132(constB95)) | (~v154(constB95))))),
% 9.60/7.17 inference(tautology,[status(thm)],[])).
% 9.60/7.17 tff(31960,plain,
% 9.60/7.17 (~v153(constB95)),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31959, 31958, 31792])).
% 9.60/7.17 tff(31961,plain,
% 9.60/7.17 ((~(v153(constB95) | v155(constB95))) | v153(constB95) | v155(constB95)),
% 9.60/7.17 inference(tautology,[status(thm)],[])).
% 9.60/7.17 tff(31962,plain,
% 9.60/7.17 (~(v153(constB95) | v155(constB95))),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31961, 31960, 31785])).
% 9.60/7.17 tff(31963,plain,
% 9.60/7.17 ((~(v150(constB95) <=> (v153(constB95) | v155(constB95)))) | (~v150(constB95)) | (v153(constB95) | v155(constB95))),
% 9.60/7.17 inference(tautology,[status(thm)],[])).
% 9.60/7.17 tff(31964,plain,
% 9.60/7.17 (~v150(constB95)),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31963, 31962, 31712])).
% 9.60/7.17 tff(31965,plain,
% 9.60/7.17 ((~(v152(constB96) <=> v150(constB95))) | (~v152(constB96)) | v150(constB95)),
% 9.60/7.17 inference(tautology,[status(thm)],[])).
% 9.60/7.17 tff(31966,plain,
% 9.60/7.17 (~v152(constB96)),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31965, 31964, 31710])).
% 9.60/7.17 tff(31967,plain,
% 9.60/7.17 ((~(v130(constB96) <=> v152(constB96))) | (~v130(constB96)) | v152(constB96)),
% 9.60/7.17 inference(tautology,[status(thm)],[])).
% 9.60/7.17 tff(31968,plain,
% 9.60/7.17 (~v130(constB96)),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31967, 31966, 31706])).
% 9.60/7.17 tff(31969,plain,
% 9.60/7.17 (((~v130(constB96)) | (~v139(constB96))) | v130(constB96)),
% 9.60/7.17 inference(tautology,[status(thm)],[])).
% 9.60/7.17 tff(31970,plain,
% 9.60/7.17 ((~v130(constB96)) | (~v139(constB96))),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31969, 31968])).
% 9.60/7.17 tff(31971,plain,
% 9.60/7.17 ((~(v155(constB96) <=> (~((~v130(constB96)) | (~v139(constB96)))))) | (~v155(constB96)) | (~((~v130(constB96)) | (~v139(constB96))))),
% 9.60/7.17 inference(tautology,[status(thm)],[])).
% 9.60/7.17 tff(31972,plain,
% 9.60/7.17 (~v155(constB96)),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31971, 31970, 31704])).
% 9.60/7.17 tff(31973,plain,
% 9.60/7.17 ((~(v153(constB96) | v155(constB96))) | v153(constB96) | v155(constB96)),
% 9.60/7.17 inference(tautology,[status(thm)],[])).
% 9.60/7.17 tff(31974,plain,
% 9.60/7.17 (~(v153(constB96) | v155(constB96))),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31973, 31972, 31697])).
% 9.60/7.17 tff(31975,plain,
% 9.60/7.17 ((~(v150(constB96) <=> (v153(constB96) | v155(constB96)))) | (~v150(constB96)) | (v153(constB96) | v155(constB96))),
% 9.60/7.17 inference(tautology,[status(thm)],[])).
% 9.60/7.17 tff(31976,plain,
% 9.60/7.17 (~v150(constB96)),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31975, 31974, 31662])).
% 9.60/7.17 tff(31977,plain,
% 9.60/7.17 ((~(v152(constB97) <=> v150(constB96))) | (~v152(constB97)) | v150(constB96)),
% 9.60/7.17 inference(tautology,[status(thm)],[])).
% 9.60/7.17 tff(31978,plain,
% 9.60/7.17 (~v152(constB97)),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31977, 31976, 31660])).
% 9.60/7.17 tff(31979,plain,
% 9.60/7.17 ((~(v130(constB97) <=> v152(constB97))) | (~v130(constB97)) | v152(constB97)),
% 9.60/7.17 inference(tautology,[status(thm)],[])).
% 9.60/7.17 tff(31980,plain,
% 9.60/7.17 (~v130(constB97)),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31979, 31978, 31656])).
% 9.60/7.17 tff(31981,plain,
% 9.60/7.17 (((~v130(constB97)) | (~v154(constB97))) | v130(constB97)),
% 9.60/7.17 inference(tautology,[status(thm)],[])).
% 9.60/7.17 tff(31982,plain,
% 9.60/7.17 ((~v130(constB97)) | (~v154(constB97))),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31981, 31980])).
% 9.60/7.17 tff(31983,plain,
% 9.60/7.17 ((~(v164(constB97) <=> (~((~v130(constB97)) | (~v154(constB97)))))) | (~v164(constB97)) | (~((~v130(constB97)) | (~v154(constB97))))),
% 9.60/7.17 inference(tautology,[status(thm)],[])).
% 9.60/7.17 tff(31984,plain,
% 9.60/7.17 (~v164(constB97)),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31983, 31982, 31654])).
% 9.60/7.17 tff(31985,plain,
% 9.60/7.17 ((~(v163(constB97) | v164(constB97))) | v163(constB97) | v164(constB97)),
% 9.60/7.17 inference(tautology,[status(thm)],[])).
% 9.60/7.17 tff(31986,plain,
% 9.60/7.17 (~(v163(constB97) | v164(constB97))),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31985, 31984, 31647])).
% 9.60/7.17 tff(31987,plain,
% 9.60/7.17 ((~(v160(constB97) <=> (v163(constB97) | v164(constB97)))) | (~v160(constB97)) | (v163(constB97) | v164(constB97))),
% 9.60/7.17 inference(tautology,[status(thm)],[])).
% 9.60/7.17 tff(31988,plain,
% 9.60/7.17 (~v160(constB97)),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31987, 31986, 31574])).
% 9.60/7.17 tff(31989,plain,
% 9.60/7.17 ((~(v162(constB98) <=> v160(constB97))) | (~v162(constB98)) | v160(constB97)),
% 9.60/7.17 inference(tautology,[status(thm)],[])).
% 9.60/7.17 tff(31990,plain,
% 9.60/7.17 (~v162(constB98)),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31989, 31988, 31572])).
% 9.60/7.17 tff(31991,plain,
% 9.60/7.17 ((~(v128(constB98) <=> v162(constB98))) | (~v128(constB98)) | v162(constB98)),
% 9.60/7.17 inference(tautology,[status(thm)],[])).
% 9.60/7.17 tff(31992,plain,
% 9.60/7.17 (~v128(constB98)),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31991, 31990, 31568])).
% 9.60/7.17 tff(31993,plain,
% 9.60/7.17 (((~v128(constB98)) | (~v139(constB98))) | v128(constB98)),
% 9.60/7.17 inference(tautology,[status(thm)],[])).
% 9.60/7.17 tff(31994,plain,
% 9.60/7.17 ((~v128(constB98)) | (~v139(constB98))),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31993, 31992])).
% 9.60/7.17 tff(31995,plain,
% 9.60/7.17 ((~(v163(constB98) <=> (~((~v128(constB98)) | (~v139(constB98)))))) | (~v163(constB98)) | (~((~v128(constB98)) | (~v139(constB98))))),
% 9.60/7.17 inference(tautology,[status(thm)],[])).
% 9.60/7.17 tff(31996,plain,
% 9.60/7.17 (~v163(constB98)),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31995, 31994, 31566])).
% 9.60/7.17 tff(31997,plain,
% 9.60/7.17 ((~(v163(constB98) | v164(constB98))) | v163(constB98) | v164(constB98)),
% 9.60/7.17 inference(tautology,[status(thm)],[])).
% 9.60/7.17 tff(31998,plain,
% 9.60/7.17 (~(v163(constB98) | v164(constB98))),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31997, 31996, 31559])).
% 9.60/7.17 tff(31999,plain,
% 9.60/7.17 ((~(v160(constB98) <=> (v163(constB98) | v164(constB98)))) | (~v160(constB98)) | (v163(constB98) | v164(constB98))),
% 9.60/7.17 inference(tautology,[status(thm)],[])).
% 9.60/7.17 tff(32000,plain,
% 9.60/7.17 (~v160(constB98)),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[31999, 31998, 31524])).
% 9.60/7.17 tff(32001,plain,
% 9.60/7.17 ((~(v162(constB99) <=> v160(constB98))) | (~v162(constB99)) | v160(constB98)),
% 9.60/7.17 inference(tautology,[status(thm)],[])).
% 9.60/7.17 tff(32002,plain,
% 9.60/7.17 (~v162(constB99)),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[32001, 32000, 31522])).
% 9.60/7.17 tff(32003,plain,
% 9.60/7.17 ($false),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[32002, 31518])).
% 9.60/7.17 tff(32004,plain,(~(constB99 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.60/7.17 tff(32005,assumption,(constB1 = VarCurr!0), introduced(assumption)).
% 9.60/7.17 tff(32006,plain,
% 9.60/7.17 (v162(constB1) <=> v162(VarCurr!0)),
% 9.60/7.17 inference(monotonicity,[status(thm)],[32005])).
% 9.60/7.17 tff(32007,plain,
% 9.60/7.17 (v162(VarCurr!0) <=> v162(constB1)),
% 9.60/7.17 inference(symmetry,[status(thm)],[32006])).
% 9.60/7.17 tff(32008,plain,
% 9.60/7.17 (v162(constB1)),
% 9.60/7.17 inference(modus_ponens,[status(thm)],[59, 32007])).
% 9.60/7.17 tff(32009,plain,
% 9.60/7.17 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB0, constB1)) | (v162(constB1) <=> v160(constB0)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB0, constB1)) | (v162(constB1) <=> v160(constB0)))),
% 9.60/7.17 inference(rewrite,[status(thm)],[])).
% 9.60/7.17 tff(32010,plain,
% 9.60/7.17 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB0, constB1)) | (v162(constB1) <=> v160(constB0)))),
% 9.60/7.17 inference(quant_inst,[status(thm)],[])).
% 9.60/7.17 tff(32011,plain,
% 9.60/7.17 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB0, constB1)) | (v162(constB1) <=> v160(constB0))),
% 9.60/7.17 inference(modus_ponens,[status(thm)],[32010, 32009])).
% 9.60/7.17 tff(32012,plain,
% 9.60/7.17 (v162(constB1) <=> v160(constB0)),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[32011, 9744, 70])).
% 9.60/7.17 tff(32013,plain,
% 9.60/7.17 ((~![VarCurr: $i] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB0) <=> (v163(constB0) | v164(constB0)))),
% 9.60/7.17 inference(quant_inst,[status(thm)],[])).
% 9.60/7.17 tff(32014,plain,
% 9.60/7.17 (v160(constB0) <=> (v163(constB0) | v164(constB0))),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[32013, 84])).
% 9.60/7.17 tff(32015,plain,
% 9.60/7.17 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB0) <=> (~((~v130(constB0)) | (~v154(constB0)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB0) <=> (~((~v130(constB0)) | (~v154(constB0))))))),
% 9.60/7.17 inference(rewrite,[status(thm)],[])).
% 9.60/7.17 tff(32016,plain,
% 9.60/7.17 ((v164(constB0) <=> (~((~v154(constB0)) | (~v130(constB0))))) <=> (v164(constB0) <=> (~((~v130(constB0)) | (~v154(constB0)))))),
% 9.60/7.17 inference(rewrite,[status(thm)],[])).
% 9.60/7.17 tff(32017,plain,
% 9.60/7.17 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB0) <=> (~((~v154(constB0)) | (~v130(constB0)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB0) <=> (~((~v130(constB0)) | (~v154(constB0))))))),
% 9.60/7.17 inference(monotonicity,[status(thm)],[32016])).
% 9.60/7.17 tff(32018,plain,
% 9.60/7.17 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB0) <=> (~((~v154(constB0)) | (~v130(constB0)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB0) <=> (~((~v130(constB0)) | (~v154(constB0))))))),
% 9.60/7.17 inference(transitivity,[status(thm)],[32017, 32015])).
% 9.60/7.17 tff(32019,plain,
% 9.60/7.17 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB0) <=> (~((~v154(constB0)) | (~v130(constB0)))))),
% 9.60/7.17 inference(quant_inst,[status(thm)],[])).
% 9.60/7.17 tff(32020,plain,
% 9.60/7.17 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB0) <=> (~((~v130(constB0)) | (~v154(constB0)))))),
% 9.60/7.17 inference(modus_ponens,[status(thm)],[32019, 32018])).
% 9.60/7.17 tff(32021,plain,
% 9.60/7.17 (v164(constB0) <=> (~((~v130(constB0)) | (~v154(constB0))))),
% 9.60/7.17 inference(unit_resolution,[status(thm)],[32020, 96])).
% 9.60/7.17 tff(32022,plain,
% 9.60/7.17 ((~v130(constB0)) <=> (~v130(constB0))),
% 9.60/7.17 inference(rewrite,[status(thm)],[])).
% 9.60/7.17 tff(32023,axiom,(~v130(constB0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignmentInitValue_6')).
% 9.60/7.17 tff(32024,plain,
% 9.60/7.17 (~v130(constB0)),
% 9.60/7.18 inference(modus_ponens,[status(thm)],[32023, 32022])).
% 9.60/7.18 tff(32025,plain,
% 9.60/7.18 (((~v130(constB0)) | (~v154(constB0))) | v130(constB0)),
% 9.60/7.18 inference(tautology,[status(thm)],[])).
% 9.60/7.18 tff(32026,plain,
% 9.60/7.18 ((~v130(constB0)) | (~v154(constB0))),
% 9.60/7.18 inference(unit_resolution,[status(thm)],[32025, 32024])).
% 9.60/7.18 tff(32027,plain,
% 9.60/7.18 ((~(v164(constB0) <=> (~((~v130(constB0)) | (~v154(constB0)))))) | (~v164(constB0)) | (~((~v130(constB0)) | (~v154(constB0))))),
% 9.60/7.18 inference(tautology,[status(thm)],[])).
% 9.60/7.18 tff(32028,plain,
% 9.60/7.18 ((~(v164(constB0) <=> (~((~v130(constB0)) | (~v154(constB0)))))) | (~v164(constB0))),
% 9.60/7.18 inference(unit_resolution,[status(thm)],[32027, 32026])).
% 9.60/7.18 tff(32029,plain,
% 9.60/7.18 (~v164(constB0)),
% 9.60/7.18 inference(unit_resolution,[status(thm)],[32028, 32021])).
% 9.60/7.18 tff(32030,plain,
% 9.60/7.18 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB0) <=> (~((~v128(constB0)) | (~v139(constB0)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB0) <=> (~((~v128(constB0)) | (~v139(constB0))))))),
% 9.60/7.18 inference(rewrite,[status(thm)],[])).
% 9.60/7.18 tff(32031,plain,
% 9.60/7.18 ((v163(constB0) <=> (~((~v139(constB0)) | (~v128(constB0))))) <=> (v163(constB0) <=> (~((~v128(constB0)) | (~v139(constB0)))))),
% 9.60/7.18 inference(rewrite,[status(thm)],[])).
% 9.60/7.18 tff(32032,plain,
% 9.60/7.18 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB0) <=> (~((~v139(constB0)) | (~v128(constB0)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB0) <=> (~((~v128(constB0)) | (~v139(constB0))))))),
% 9.60/7.18 inference(monotonicity,[status(thm)],[32031])).
% 9.60/7.18 tff(32033,plain,
% 9.60/7.18 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB0) <=> (~((~v139(constB0)) | (~v128(constB0)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB0) <=> (~((~v128(constB0)) | (~v139(constB0))))))),
% 9.60/7.18 inference(transitivity,[status(thm)],[32032, 32030])).
% 9.60/7.18 tff(32034,plain,
% 9.60/7.18 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB0) <=> (~((~v139(constB0)) | (~v128(constB0)))))),
% 9.60/7.18 inference(quant_inst,[status(thm)],[])).
% 9.60/7.18 tff(32035,plain,
% 9.60/7.18 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB0) <=> (~((~v128(constB0)) | (~v139(constB0)))))),
% 9.60/7.18 inference(modus_ponens,[status(thm)],[32034, 32033])).
% 9.60/7.18 tff(32036,plain,
% 9.60/7.18 (v163(constB0) <=> (~((~v128(constB0)) | (~v139(constB0))))),
% 9.60/7.18 inference(unit_resolution,[status(thm)],[32035, 171])).
% 9.60/7.18 tff(32037,plain,
% 9.60/7.18 ((~v128(constB0)) <=> (~v128(constB0))),
% 9.60/7.18 inference(rewrite,[status(thm)],[])).
% 9.60/7.18 tff(32038,axiom,(~v128(constB0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignmentInitValue_7')).
% 9.60/7.18 tff(32039,plain,
% 9.60/7.18 (~v128(constB0)),
% 9.60/7.18 inference(modus_ponens,[status(thm)],[32038, 32037])).
% 9.60/7.18 tff(32040,plain,
% 9.60/7.18 (((~v128(constB0)) | (~v139(constB0))) | v128(constB0)),
% 9.60/7.18 inference(tautology,[status(thm)],[])).
% 9.60/7.18 tff(32041,plain,
% 9.60/7.18 ((~v128(constB0)) | (~v139(constB0))),
% 9.60/7.18 inference(unit_resolution,[status(thm)],[32040, 32039])).
% 9.60/7.18 tff(32042,plain,
% 9.60/7.18 ((~(v163(constB0) <=> (~((~v128(constB0)) | (~v139(constB0)))))) | (~v163(constB0)) | (~((~v128(constB0)) | (~v139(constB0))))),
% 9.60/7.18 inference(tautology,[status(thm)],[])).
% 9.60/7.18 tff(32043,plain,
% 9.60/7.18 ((~(v163(constB0) <=> (~((~v128(constB0)) | (~v139(constB0)))))) | (~v163(constB0))),
% 9.60/7.18 inference(unit_resolution,[status(thm)],[32042, 32041])).
% 9.60/7.18 tff(32044,plain,
% 9.60/7.18 (~v163(constB0)),
% 9.60/7.18 inference(unit_resolution,[status(thm)],[32043, 32036])).
% 9.60/7.18 tff(32045,plain,
% 9.60/7.18 ((~(v163(constB0) | v164(constB0))) | v163(constB0) | v164(constB0)),
% 9.60/7.18 inference(tautology,[status(thm)],[])).
% 9.60/7.18 tff(32046,plain,
% 9.60/7.18 (~(v163(constB0) | v164(constB0))),
% 9.60/7.18 inference(unit_resolution,[status(thm)],[32045, 32044, 32029])).
% 9.60/7.18 tff(32047,plain,
% 9.60/7.18 ((~(v160(constB0) <=> (v163(constB0) | v164(constB0)))) | (~v160(constB0)) | (v163(constB0) | v164(constB0))),
% 9.60/7.18 inference(tautology,[status(thm)],[])).
% 9.60/7.18 tff(32048,plain,
% 9.60/7.18 ((~(v160(constB0) <=> (v163(constB0) | v164(constB0)))) | (~v160(constB0))),
% 9.60/7.18 inference(unit_resolution,[status(thm)],[32047, 32046])).
% 9.60/7.18 tff(32049,plain,
% 9.60/7.18 (~v160(constB0)),
% 9.60/7.18 inference(unit_resolution,[status(thm)],[32048, 32014])).
% 9.60/7.18 tff(32050,plain,
% 9.60/7.18 ((~(v162(constB1) <=> v160(constB0))) | (~v162(constB1)) | v160(constB0)),
% 9.60/7.18 inference(tautology,[status(thm)],[])).
% 9.60/7.18 tff(32051,plain,
% 9.60/7.18 (~v162(constB1)),
% 9.60/7.18 inference(unit_resolution,[status(thm)],[32050, 32049, 32012])).
% 9.60/7.18 tff(32052,plain,
% 9.60/7.18 ($false),
% 9.60/7.18 inference(unit_resolution,[status(thm)],[32051, 32008])).
% 9.60/7.18 tff(32053,plain,(~(constB1 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.60/7.18 tff(32054,assumption,(constB101 = VarCurr!0), introduced(assumption)).
% 9.60/7.18 tff(32055,plain,
% 9.60/7.18 (v162(constB101) <=> v162(VarCurr!0)),
% 9.60/7.18 inference(monotonicity,[status(thm)],[32054])).
% 9.60/7.18 tff(32056,plain,
% 9.60/7.18 (v162(VarCurr!0) <=> v162(constB101)),
% 9.60/7.18 inference(symmetry,[status(thm)],[32055])).
% 9.60/7.18 tff(32057,plain,
% 9.60/7.18 (v162(constB101)),
% 9.60/7.18 inference(modus_ponens,[status(thm)],[59, 32056])).
% 9.60/7.18 tff(32058,plain,
% 9.60/7.18 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB100, constB101)) | (v162(constB101) <=> v160(constB100)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB100, constB101)) | (v162(constB101) <=> v160(constB100)))),
% 9.60/7.18 inference(rewrite,[status(thm)],[])).
% 9.60/7.18 tff(32059,plain,
% 9.60/7.18 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB100, constB101)) | (v162(constB101) <=> v160(constB100)))),
% 9.60/7.18 inference(quant_inst,[status(thm)],[])).
% 9.60/7.18 tff(32060,plain,
% 9.60/7.18 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB100, constB101)) | (v162(constB101) <=> v160(constB100))),
% 9.60/7.18 inference(modus_ponens,[status(thm)],[32059, 32058])).
% 9.60/7.18 tff(32061,plain,
% 9.60/7.18 (v162(constB101) <=> v160(constB100)),
% 9.60/7.18 inference(unit_resolution,[status(thm)],[32060, 5166, 70])).
% 9.60/7.18 tff(32062,plain,
% 9.60/7.18 ((~![VarCurr: $i] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB100) <=> (v163(constB100) | v164(constB100)))),
% 9.60/7.18 inference(quant_inst,[status(thm)],[])).
% 9.60/7.18 tff(32063,plain,
% 9.60/7.18 (v160(constB100) <=> (v163(constB100) | v164(constB100))),
% 9.60/7.18 inference(unit_resolution,[status(thm)],[32062, 84])).
% 9.60/7.18 tff(32064,plain,
% 9.60/7.18 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB100) <=> (~((~v130(constB100)) | (~v154(constB100)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB100) <=> (~((~v130(constB100)) | (~v154(constB100))))))),
% 9.60/7.18 inference(rewrite,[status(thm)],[])).
% 9.60/7.18 tff(32065,plain,
% 9.60/7.18 ((v164(constB100) <=> (~((~v154(constB100)) | (~v130(constB100))))) <=> (v164(constB100) <=> (~((~v130(constB100)) | (~v154(constB100)))))),
% 9.60/7.18 inference(rewrite,[status(thm)],[])).
% 9.60/7.18 tff(32066,plain,
% 9.60/7.18 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB100) <=> (~((~v154(constB100)) | (~v130(constB100)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB100) <=> (~((~v130(constB100)) | (~v154(constB100))))))),
% 9.60/7.18 inference(monotonicity,[status(thm)],[32065])).
% 9.60/7.18 tff(32067,plain,
% 9.60/7.18 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB100) <=> (~((~v154(constB100)) | (~v130(constB100)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB100) <=> (~((~v130(constB100)) | (~v154(constB100))))))),
% 9.60/7.18 inference(transitivity,[status(thm)],[32066, 32064])).
% 9.60/7.18 tff(32068,plain,
% 9.60/7.18 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB100) <=> (~((~v154(constB100)) | (~v130(constB100)))))),
% 9.60/7.18 inference(quant_inst,[status(thm)],[])).
% 9.60/7.18 tff(32069,plain,
% 9.60/7.18 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB100) <=> (~((~v130(constB100)) | (~v154(constB100)))))),
% 9.60/7.18 inference(modus_ponens,[status(thm)],[32068, 32067])).
% 9.60/7.18 tff(32070,plain,
% 9.60/7.18 (v164(constB100) <=> (~((~v130(constB100)) | (~v154(constB100))))),
% 9.60/7.18 inference(unit_resolution,[status(thm)],[32069, 96])).
% 9.60/7.18 tff(32071,plain,
% 9.60/7.18 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB100) <=> (~((~v141(constB100)) | (~v143(constB100)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB100) <=> (~((~v141(constB100)) | (~v143(constB100))))))),
% 9.60/7.18 inference(rewrite,[status(thm)],[])).
% 9.60/7.18 tff(32072,plain,
% 9.60/7.18 ((v154(constB100) <=> (~((~v143(constB100)) | (~v141(constB100))))) <=> (v154(constB100) <=> (~((~v141(constB100)) | (~v143(constB100)))))),
% 9.60/7.18 inference(rewrite,[status(thm)],[])).
% 9.60/7.18 tff(32073,plain,
% 9.60/7.18 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB100) <=> (~((~v143(constB100)) | (~v141(constB100)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB100) <=> (~((~v141(constB100)) | (~v143(constB100))))))),
% 9.60/7.18 inference(monotonicity,[status(thm)],[32072])).
% 9.60/7.18 tff(32074,plain,
% 9.60/7.18 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB100) <=> (~((~v143(constB100)) | (~v141(constB100)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB100) <=> (~((~v141(constB100)) | (~v143(constB100))))))),
% 9.60/7.18 inference(transitivity,[status(thm)],[32073, 32071])).
% 9.60/7.18 tff(32075,plain,
% 9.60/7.18 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB100) <=> (~((~v143(constB100)) | (~v141(constB100)))))),
% 9.60/7.18 inference(quant_inst,[status(thm)],[])).
% 9.60/7.18 tff(32076,plain,
% 9.60/7.18 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB100) <=> (~((~v141(constB100)) | (~v143(constB100)))))),
% 9.60/7.18 inference(modus_ponens,[status(thm)],[32075, 32074])).
% 9.60/7.18 tff(32077,plain,
% 9.60/7.18 (v154(constB100) <=> (~((~v141(constB100)) | (~v143(constB100))))),
% 9.60/7.18 inference(unit_resolution,[status(thm)],[32076, 113])).
% 9.60/7.18 tff(32078,plain,
% 9.60/7.18 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB100) <=> (~((~v39(constB100)) | (~v9(constB100)))))),
% 9.60/7.18 inference(quant_inst,[status(thm)],[])).
% 9.60/7.18 tff(32079,plain,
% 9.60/7.18 (v141(constB100) <=> (~((~v39(constB100)) | (~v9(constB100))))),
% 9.60/7.18 inference(unit_resolution,[status(thm)],[32078, 130])).
% 9.60/7.18 tff(32080,plain,
% 9.60/7.18 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB100)) <=> v1(constB100))),
% 9.60/7.18 inference(quant_inst,[status(thm)],[])).
% 9.60/7.18 tff(32081,plain,
% 9.60/7.18 ((~v39(constB100)) <=> v1(constB100)),
% 9.60/7.18 inference(unit_resolution,[status(thm)],[32080, 139])).
% 9.60/7.18 tff(32082,plain,
% 9.60/7.18 ((~((~v39(constB100)) <=> v1(constB100))) | (~v39(constB100)) | (~v1(constB100))),
% 9.60/7.18 inference(tautology,[status(thm)],[])).
% 9.60/7.18 tff(32083,plain,
% 9.60/7.18 ((~((~v39(constB100)) <=> v1(constB100))) | (~v39(constB100))),
% 9.60/7.18 inference(unit_resolution,[status(thm)],[32082, 5228])).
% 9.60/7.18 tff(32084,plain,
% 9.60/7.18 (~v39(constB100)),
% 9.60/7.18 inference(unit_resolution,[status(thm)],[32083, 32081])).
% 9.60/7.18 tff(32085,plain,
% 9.60/7.18 (((~v39(constB100)) | (~v9(constB100))) | v39(constB100)),
% 9.60/7.18 inference(tautology,[status(thm)],[])).
% 9.60/7.18 tff(32086,plain,
% 9.60/7.18 ((~v39(constB100)) | (~v9(constB100))),
% 9.60/7.18 inference(unit_resolution,[status(thm)],[32085, 32084])).
% 9.60/7.18 tff(32087,plain,
% 9.60/7.18 ((~(v141(constB100) <=> (~((~v39(constB100)) | (~v9(constB100)))))) | (~v141(constB100)) | (~((~v39(constB100)) | (~v9(constB100))))),
% 9.60/7.18 inference(tautology,[status(thm)],[])).
% 9.60/7.18 tff(32088,plain,
% 9.60/7.18 ((~(v141(constB100) <=> (~((~v39(constB100)) | (~v9(constB100)))))) | (~v141(constB100))),
% 9.60/7.18 inference(unit_resolution,[status(thm)],[32087, 32086])).
% 9.60/7.18 tff(32089,plain,
% 9.60/7.18 (~v141(constB100)),
% 9.60/7.18 inference(unit_resolution,[status(thm)],[32088, 32079])).
% 9.60/7.18 tff(32090,plain,
% 9.60/7.18 (((~v141(constB100)) | (~v143(constB100))) | v141(constB100)),
% 9.60/7.18 inference(tautology,[status(thm)],[])).
% 9.60/7.18 tff(32091,plain,
% 9.60/7.18 ((~v141(constB100)) | (~v143(constB100))),
% 9.60/7.18 inference(unit_resolution,[status(thm)],[32090, 32089])).
% 9.60/7.18 tff(32092,plain,
% 9.60/7.18 ((~(v154(constB100) <=> (~((~v141(constB100)) | (~v143(constB100)))))) | (~v154(constB100)) | (~((~v141(constB100)) | (~v143(constB100))))),
% 9.60/7.18 inference(tautology,[status(thm)],[])).
% 9.60/7.18 tff(32093,plain,
% 9.60/7.18 ((~(v154(constB100) <=> (~((~v141(constB100)) | (~v143(constB100)))))) | (~v154(constB100))),
% 9.60/7.18 inference(unit_resolution,[status(thm)],[32092, 32091])).
% 9.60/7.18 tff(32094,plain,
% 9.60/7.18 (~v154(constB100)),
% 9.60/7.18 inference(unit_resolution,[status(thm)],[32093, 32077])).
% 9.60/7.18 tff(32095,plain,
% 9.60/7.18 (((~v130(constB100)) | (~v154(constB100))) | v154(constB100)),
% 9.60/7.18 inference(tautology,[status(thm)],[])).
% 9.60/7.18 tff(32096,plain,
% 9.60/7.18 ((~v130(constB100)) | (~v154(constB100))),
% 9.60/7.18 inference(unit_resolution,[status(thm)],[32095, 32094])).
% 9.60/7.18 tff(32097,plain,
% 9.60/7.18 ((~(v164(constB100) <=> (~((~v130(constB100)) | (~v154(constB100)))))) | (~v164(constB100)) | (~((~v130(constB100)) | (~v154(constB100))))),
% 9.60/7.18 inference(tautology,[status(thm)],[])).
% 9.60/7.18 tff(32098,plain,
% 9.60/7.18 (~v164(constB100)),
% 9.60/7.18 inference(unit_resolution,[status(thm)],[32097, 32096, 32070])).
% 9.60/7.18 tff(32099,plain,
% 9.60/7.18 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB100) <=> (~((~v128(constB100)) | (~v139(constB100)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB100) <=> (~((~v128(constB100)) | (~v139(constB100))))))),
% 9.60/7.18 inference(rewrite,[status(thm)],[])).
% 9.60/7.18 tff(32100,plain,
% 9.60/7.18 ((v163(constB100) <=> (~((~v139(constB100)) | (~v128(constB100))))) <=> (v163(constB100) <=> (~((~v128(constB100)) | (~v139(constB100)))))),
% 9.60/7.18 inference(rewrite,[status(thm)],[])).
% 9.60/7.18 tff(32101,plain,
% 9.60/7.18 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB100) <=> (~((~v139(constB100)) | (~v128(constB100)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB100) <=> (~((~v128(constB100)) | (~v139(constB100))))))),
% 9.60/7.18 inference(monotonicity,[status(thm)],[32100])).
% 9.60/7.18 tff(32102,plain,
% 9.60/7.18 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB100) <=> (~((~v139(constB100)) | (~v128(constB100)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB100) <=> (~((~v128(constB100)) | (~v139(constB100))))))),
% 9.60/7.18 inference(transitivity,[status(thm)],[32101, 32099])).
% 9.60/7.18 tff(32103,plain,
% 9.60/7.18 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB100) <=> (~((~v139(constB100)) | (~v128(constB100)))))),
% 9.60/7.18 inference(quant_inst,[status(thm)],[])).
% 9.60/7.18 tff(32104,plain,
% 9.60/7.18 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB100) <=> (~((~v128(constB100)) | (~v139(constB100)))))),
% 9.60/7.18 inference(modus_ponens,[status(thm)],[32103, 32102])).
% 9.60/7.18 tff(32105,plain,
% 9.60/7.18 (v163(constB100) <=> (~((~v128(constB100)) | (~v139(constB100))))),
% 9.60/7.18 inference(unit_resolution,[status(thm)],[32104, 171])).
% 9.60/7.18 tff(32106,plain,
% 9.60/7.18 ((~![VarNext: $i] : (v128(VarNext) <=> v162(VarNext))) | (v128(constB100) <=> v162(constB100))),
% 9.60/7.18 inference(quant_inst,[status(thm)],[])).
% 9.60/7.18 tff(32107,plain,
% 9.60/7.18 (v128(constB100) <=> v162(constB100)),
% 9.60/7.18 inference(unit_resolution,[status(thm)],[32106, 13])).
% 9.60/7.18 tff(32108,plain,
% 9.60/7.18 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB99, constB100)) | (v162(constB100) <=> v160(constB99)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB99, constB100)) | (v162(constB100) <=> v160(constB99)))),
% 9.60/7.18 inference(rewrite,[status(thm)],[])).
% 9.60/7.18 tff(32109,plain,
% 9.60/7.18 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB99, constB100)) | (v162(constB100) <=> v160(constB99)))),
% 9.60/7.18 inference(quant_inst,[status(thm)],[])).
% 9.60/7.18 tff(32110,plain,
% 9.60/7.18 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB99, constB100)) | (v162(constB100) <=> v160(constB99))),
% 9.60/7.18 inference(modus_ponens,[status(thm)],[32109, 32108])).
% 9.60/7.18 tff(32111,plain,
% 9.60/7.18 (v162(constB100) <=> v160(constB99)),
% 9.60/7.18 inference(unit_resolution,[status(thm)],[32110, 5198, 70])).
% 9.60/7.18 tff(32112,plain,
% 9.60/7.18 ((~![VarCurr: $i] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB99) <=> (v163(constB99) | v164(constB99)))),
% 9.60/7.18 inference(quant_inst,[status(thm)],[])).
% 9.60/7.18 tff(32113,plain,
% 9.60/7.18 (v160(constB99) <=> (v163(constB99) | v164(constB99))),
% 9.60/7.18 inference(unit_resolution,[status(thm)],[32112, 84])).
% 9.60/7.18 tff(32114,plain,
% 9.60/7.18 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB99) <=> (~((~v128(constB99)) | (~v139(constB99)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB99) <=> (~((~v128(constB99)) | (~v139(constB99))))))),
% 9.60/7.18 inference(rewrite,[status(thm)],[])).
% 9.60/7.18 tff(32115,plain,
% 9.60/7.18 ((v163(constB99) <=> (~((~v139(constB99)) | (~v128(constB99))))) <=> (v163(constB99) <=> (~((~v128(constB99)) | (~v139(constB99)))))),
% 9.60/7.18 inference(rewrite,[status(thm)],[])).
% 9.60/7.18 tff(32116,plain,
% 9.60/7.18 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB99) <=> (~((~v139(constB99)) | (~v128(constB99)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB99) <=> (~((~v128(constB99)) | (~v139(constB99))))))),
% 9.60/7.18 inference(monotonicity,[status(thm)],[32115])).
% 9.60/7.18 tff(32117,plain,
% 9.60/7.18 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB99) <=> (~((~v139(constB99)) | (~v128(constB99)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB99) <=> (~((~v128(constB99)) | (~v139(constB99))))))),
% 9.60/7.18 inference(transitivity,[status(thm)],[32116, 32114])).
% 9.60/7.18 tff(32118,plain,
% 9.60/7.18 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB99) <=> (~((~v139(constB99)) | (~v128(constB99)))))),
% 9.60/7.18 inference(quant_inst,[status(thm)],[])).
% 9.60/7.18 tff(32119,plain,
% 9.60/7.18 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB99) <=> (~((~v128(constB99)) | (~v139(constB99)))))),
% 9.60/7.18 inference(modus_ponens,[status(thm)],[32118, 32117])).
% 9.60/7.18 tff(32120,plain,
% 9.60/7.18 (v163(constB99) <=> (~((~v128(constB99)) | (~v139(constB99))))),
% 9.60/7.18 inference(unit_resolution,[status(thm)],[32119, 171])).
% 9.60/7.18 tff(32121,plain,
% 9.60/7.18 ((~![VarCurr: $i] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB99)) <=> v140(constB99))),
% 9.60/7.18 inference(quant_inst,[status(thm)],[])).
% 9.60/7.18 tff(32122,plain,
% 9.60/7.18 ((~v139(constB99)) <=> v140(constB99)),
% 9.60/7.18 inference(unit_resolution,[status(thm)],[32121, 203])).
% 9.60/7.18 tff(32123,plain,
% 9.60/7.18 ((~![VarCurr: $i] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB99) <=> (v141(constB99) | v26(constB99)))),
% 9.60/7.18 inference(quant_inst,[status(thm)],[])).
% 9.60/7.18 tff(32124,plain,
% 9.60/7.18 (v140(constB99) <=> (v141(constB99) | v26(constB99))),
% 9.60/7.18 inference(unit_resolution,[status(thm)],[32123, 212])).
% 9.60/7.18 tff(32125,plain,
% 9.60/7.18 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB99) <=> (~((~v39(constB99)) | (~v9(constB99)))))),
% 9.60/7.18 inference(quant_inst,[status(thm)],[])).
% 9.60/7.18 tff(32126,plain,
% 9.60/7.18 (v141(constB99) <=> (~((~v39(constB99)) | (~v9(constB99))))),
% 9.60/7.18 inference(unit_resolution,[status(thm)],[32125, 130])).
% 9.60/7.18 tff(32127,plain,
% 9.60/7.18 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB99, constB100)) | (v13(constB100) <=> v9(constB99)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB99, constB100)) | (v13(constB100) <=> v9(constB99)))),
% 9.60/7.18 inference(rewrite,[status(thm)],[])).
% 9.60/7.18 tff(32128,plain,
% 9.60/7.18 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB99, constB100)) | (v13(constB100) <=> v9(constB99)))),
% 9.60/7.18 inference(quant_inst,[status(thm)],[])).
% 9.60/7.18 tff(32129,plain,
% 9.60/7.18 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB99, constB100)) | (v13(constB100) <=> v9(constB99))),
% 9.60/7.18 inference(modus_ponens,[status(thm)],[32128, 32127])).
% 9.60/7.18 tff(32130,plain,
% 9.60/7.18 (v13(constB100) <=> v9(constB99)),
% 9.60/7.18 inference(unit_resolution,[status(thm)],[32129, 5198, 226])).
% 9.60/7.18 tff(32131,plain,
% 9.60/7.18 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB100) <=> v13(constB100))),
% 9.60/7.18 inference(quant_inst,[status(thm)],[])).
% 9.60/7.18 tff(32132,plain,
% 9.60/7.18 (v6(constB100) <=> v13(constB100)),
% 9.60/7.18 inference(unit_resolution,[status(thm)],[32131, 240])).
% 9.60/7.18 tff(32133,plain,
% 9.60/7.18 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB100)) <=> v6(constB100))),
% 9.60/7.18 inference(quant_inst,[status(thm)],[])).
% 9.60/7.18 tff(32134,plain,
% 9.60/7.18 ((~v21(constB100)) <=> v6(constB100)),
% 9.60/7.18 inference(unit_resolution,[status(thm)],[32133, 249])).
% 9.60/7.18 tff(32135,plain,
% 9.60/7.18 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB100) <=> (v20(constB100) | v21(constB100)))),
% 9.60/7.18 inference(quant_inst,[status(thm)],[])).
% 9.60/7.18 tff(32136,plain,
% 9.60/7.18 (v19(constB100) <=> (v20(constB100) | v21(constB100))),
% 9.60/7.18 inference(unit_resolution,[status(thm)],[32135, 258])).
% 9.60/7.18 tff(32137,plain,
% 9.60/7.18 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB100) <=> (~((~v19(constB100)) | (~v22(constB100)))))),
% 9.60/7.18 inference(quant_inst,[status(thm)],[])).
% 9.60/7.18 tff(32138,plain,
% 9.60/7.18 (v18(constB100) <=> (~((~v19(constB100)) | (~v22(constB100))))),
% 9.60/7.18 inference(unit_resolution,[status(thm)],[32137, 270])).
% 9.60/7.18 tff(32139,plain,
% 9.60/7.18 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB100)) <=> v18(constB100))),
% 9.60/7.18 inference(quant_inst,[status(thm)],[])).
% 9.60/7.18 tff(32140,plain,
% 9.60/7.18 ((~v4(constB100)) <=> v18(constB100)),
% 9.60/7.18 inference(unit_resolution,[status(thm)],[32139, 279])).
% 9.60/7.18 tff(32141,plain,
% 9.60/7.18 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB100)),
% 9.60/7.18 inference(quant_inst,[status(thm)],[])).
% 9.60/7.18 tff(32142,plain,
% 9.60/7.18 (v4(constB100)),
% 9.60/7.18 inference(unit_resolution,[status(thm)],[32141, 288])).
% 9.60/7.18 tff(32143,plain,
% 9.60/7.18 ((~((~v4(constB100)) <=> v18(constB100))) | (~v4(constB100)) | (~v18(constB100))),
% 9.60/7.18 inference(tautology,[status(thm)],[])).
% 9.60/7.18 tff(32144,plain,
% 9.60/7.18 (~v18(constB100)),
% 9.60/7.18 inference(unit_resolution,[status(thm)],[32143, 32142, 32140])).
% 9.60/7.18 tff(32145,plain,
% 9.60/7.18 ((~(v18(constB100) <=> (~((~v19(constB100)) | (~v22(constB100)))))) | v18(constB100) | ((~v19(constB100)) | (~v22(constB100)))),
% 9.60/7.18 inference(tautology,[status(thm)],[])).
% 9.60/7.18 tff(32146,plain,
% 9.60/7.18 ((~v19(constB100)) | (~v22(constB100))),
% 9.60/7.18 inference(unit_resolution,[status(thm)],[32145, 32144, 32138])).
% 9.60/7.18 tff(32147,plain,
% 9.60/7.18 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB100) <=> (v1(constB100) | v6(constB100)))),
% 9.60/7.18 inference(quant_inst,[status(thm)],[])).
% 9.60/7.18 tff(32148,plain,
% 9.60/7.18 (v22(constB100) <=> (v1(constB100) | v6(constB100))),
% 9.60/7.18 inference(unit_resolution,[status(thm)],[32147, 301])).
% 9.60/7.18 tff(32149,plain,
% 9.60/7.18 ((v1(constB100) | v6(constB100)) | (~v1(constB100))),
% 9.60/7.18 inference(tautology,[status(thm)],[])).
% 9.60/7.18 tff(32150,plain,
% 9.60/7.18 (v1(constB100) | v6(constB100)),
% 9.60/7.18 inference(unit_resolution,[status(thm)],[32149, 5228])).
% 9.60/7.18 tff(32151,plain,
% 9.60/7.18 ((~(v22(constB100) <=> (v1(constB100) | v6(constB100)))) | v22(constB100) | (~(v1(constB100) | v6(constB100)))),
% 9.60/7.18 inference(tautology,[status(thm)],[])).
% 9.60/7.18 tff(32152,plain,
% 9.60/7.18 ((~(v22(constB100) <=> (v1(constB100) | v6(constB100)))) | v22(constB100)),
% 9.60/7.18 inference(unit_resolution,[status(thm)],[32151, 32150])).
% 9.60/7.18 tff(32153,plain,
% 9.60/7.18 (v22(constB100)),
% 9.60/7.18 inference(unit_resolution,[status(thm)],[32152, 32148])).
% 9.60/7.18 tff(32154,plain,
% 9.60/7.18 ((~((~v19(constB100)) | (~v22(constB100)))) | (~v19(constB100)) | (~v22(constB100))),
% 9.60/7.18 inference(tautology,[status(thm)],[])).
% 9.60/7.18 tff(32155,plain,
% 9.60/7.18 ((~((~v19(constB100)) | (~v22(constB100)))) | (~v19(constB100))),
% 9.60/7.18 inference(unit_resolution,[status(thm)],[32154, 32153])).
% 9.60/7.18 tff(32156,plain,
% 9.60/7.18 (~v19(constB100)),
% 9.60/7.18 inference(unit_resolution,[status(thm)],[32155, 32146])).
% 9.60/7.18 tff(32157,plain,
% 9.60/7.18 ((~(v19(constB100) <=> (v20(constB100) | v21(constB100)))) | v19(constB100) | (~(v20(constB100) | v21(constB100)))),
% 9.60/7.18 inference(tautology,[status(thm)],[])).
% 9.60/7.18 tff(32158,plain,
% 9.60/7.18 (~(v20(constB100) | v21(constB100))),
% 9.60/7.18 inference(unit_resolution,[status(thm)],[32157, 32156, 32136])).
% 9.60/7.18 tff(32159,plain,
% 9.60/7.18 ((v20(constB100) | v21(constB100)) | (~v21(constB100))),
% 9.60/7.18 inference(tautology,[status(thm)],[])).
% 9.60/7.18 tff(32160,plain,
% 9.60/7.18 (~v21(constB100)),
% 9.60/7.18 inference(unit_resolution,[status(thm)],[32159, 32158])).
% 9.60/7.18 tff(32161,plain,
% 9.60/7.18 ((~((~v21(constB100)) <=> v6(constB100))) | v21(constB100) | v6(constB100)),
% 9.60/7.18 inference(tautology,[status(thm)],[])).
% 9.60/7.18 tff(32162,plain,
% 9.60/7.18 (v6(constB100)),
% 9.60/7.18 inference(unit_resolution,[status(thm)],[32161, 32160, 32134])).
% 9.60/7.18 tff(32163,plain,
% 9.60/7.18 ((~(v6(constB100) <=> v13(constB100))) | (~v6(constB100)) | v13(constB100)),
% 9.60/7.18 inference(tautology,[status(thm)],[])).
% 9.60/7.18 tff(32164,plain,
% 9.60/7.18 (v13(constB100)),
% 9.60/7.18 inference(unit_resolution,[status(thm)],[32163, 32162, 32132])).
% 9.60/7.18 tff(32165,plain,
% 9.60/7.18 ((~(v13(constB100) <=> v9(constB99))) | (~v13(constB100)) | v9(constB99)),
% 9.60/7.18 inference(tautology,[status(thm)],[])).
% 9.60/7.18 tff(32166,plain,
% 9.60/7.18 (v9(constB99)),
% 9.60/7.18 inference(unit_resolution,[status(thm)],[32165, 32164, 32130])).
% 9.60/7.18 tff(32167,plain,
% 9.60/7.18 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB99)) <=> v1(constB99))),
% 9.60/7.18 inference(quant_inst,[status(thm)],[])).
% 9.60/7.18 tff(32168,plain,
% 9.60/7.18 ((~v39(constB99)) <=> v1(constB99)),
% 9.60/7.18 inference(unit_resolution,[status(thm)],[32167, 139])).
% 9.60/7.18 tff(32169,plain,
% 9.60/7.18 ((~((~v39(constB99)) <=> v1(constB99))) | v39(constB99) | v1(constB99)),
% 9.60/7.18 inference(tautology,[status(thm)],[])).
% 9.60/7.18 tff(32170,plain,
% 9.60/7.18 ((~((~v39(constB99)) <=> v1(constB99))) | v39(constB99)),
% 9.60/7.18 inference(unit_resolution,[status(thm)],[32169, 5220])).
% 9.60/7.18 tff(32171,plain,
% 9.60/7.18 (v39(constB99)),
% 9.60/7.18 inference(unit_resolution,[status(thm)],[32170, 32168])).
% 9.60/7.18 tff(32172,plain,
% 9.60/7.18 ((~((~v39(constB99)) | (~v9(constB99)))) | (~v39(constB99)) | (~v9(constB99))),
% 9.60/7.18 inference(tautology,[status(thm)],[])).
% 9.60/7.18 tff(32173,plain,
% 9.60/7.18 ((~((~v39(constB99)) | (~v9(constB99)))) | (~v9(constB99))),
% 9.60/7.18 inference(unit_resolution,[status(thm)],[32172, 32171])).
% 9.60/7.18 tff(32174,plain,
% 9.60/7.18 (~((~v39(constB99)) | (~v9(constB99)))),
% 9.60/7.18 inference(unit_resolution,[status(thm)],[32173, 32166])).
% 9.60/7.18 tff(32175,plain,
% 9.60/7.18 ((~(v141(constB99) <=> (~((~v39(constB99)) | (~v9(constB99)))))) | v141(constB99) | ((~v39(constB99)) | (~v9(constB99)))),
% 9.60/7.18 inference(tautology,[status(thm)],[])).
% 9.60/7.18 tff(32176,plain,
% 9.60/7.18 (v141(constB99)),
% 9.60/7.18 inference(unit_resolution,[status(thm)],[32175, 32174, 32126])).
% 9.60/7.18 tff(32177,plain,
% 9.60/7.18 ((v141(constB99) | v26(constB99)) | (~v141(constB99))),
% 9.60/7.18 inference(tautology,[status(thm)],[])).
% 9.60/7.18 tff(32178,plain,
% 9.60/7.18 (v141(constB99) | v26(constB99)),
% 9.60/7.18 inference(unit_resolution,[status(thm)],[32177, 32176])).
% 9.60/7.18 tff(32179,plain,
% 9.60/7.18 ((~(v140(constB99) <=> (v141(constB99) | v26(constB99)))) | v140(constB99) | (~(v141(constB99) | v26(constB99)))),
% 9.60/7.18 inference(tautology,[status(thm)],[])).
% 9.60/7.18 tff(32180,plain,
% 9.60/7.18 (v140(constB99)),
% 9.60/7.18 inference(unit_resolution,[status(thm)],[32179, 32178, 32124])).
% 9.60/7.18 tff(32181,plain,
% 9.60/7.18 ((~((~v139(constB99)) <=> v140(constB99))) | (~v139(constB99)) | (~v140(constB99))),
% 9.60/7.18 inference(tautology,[status(thm)],[])).
% 9.60/7.18 tff(32182,plain,
% 9.60/7.18 (~v139(constB99)),
% 9.60/7.18 inference(unit_resolution,[status(thm)],[32181, 32180, 32122])).
% 9.60/7.18 tff(32183,plain,
% 9.60/7.18 (((~v128(constB99)) | (~v139(constB99))) | v139(constB99)),
% 9.60/7.18 inference(tautology,[status(thm)],[])).
% 9.60/7.18 tff(32184,plain,
% 9.60/7.18 ((~v128(constB99)) | (~v139(constB99))),
% 9.60/7.18 inference(unit_resolution,[status(thm)],[32183, 32182])).
% 9.60/7.18 tff(32185,plain,
% 9.60/7.18 ((~(v163(constB99) <=> (~((~v128(constB99)) | (~v139(constB99)))))) | (~v163(constB99)) | (~((~v128(constB99)) | (~v139(constB99))))),
% 9.60/7.18 inference(tautology,[status(thm)],[])).
% 9.60/7.18 tff(32186,plain,
% 9.60/7.18 (~v163(constB99)),
% 9.60/7.18 inference(unit_resolution,[status(thm)],[32185, 32184, 32120])).
% 9.60/7.18 tff(32187,plain,
% 9.60/7.18 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB99) <=> (~((~v130(constB99)) | (~v154(constB99)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB99) <=> (~((~v130(constB99)) | (~v154(constB99))))))),
% 9.60/7.18 inference(rewrite,[status(thm)],[])).
% 9.60/7.18 tff(32188,plain,
% 9.60/7.18 ((v164(constB99) <=> (~((~v154(constB99)) | (~v130(constB99))))) <=> (v164(constB99) <=> (~((~v130(constB99)) | (~v154(constB99)))))),
% 9.60/7.18 inference(rewrite,[status(thm)],[])).
% 9.60/7.18 tff(32189,plain,
% 9.60/7.18 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB99) <=> (~((~v154(constB99)) | (~v130(constB99)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB99) <=> (~((~v130(constB99)) | (~v154(constB99))))))),
% 9.60/7.18 inference(monotonicity,[status(thm)],[32188])).
% 9.60/7.18 tff(32190,plain,
% 9.60/7.18 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB99) <=> (~((~v154(constB99)) | (~v130(constB99)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB99) <=> (~((~v130(constB99)) | (~v154(constB99))))))),
% 9.60/7.18 inference(transitivity,[status(thm)],[32189, 32187])).
% 9.60/7.18 tff(32191,plain,
% 9.60/7.18 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB99) <=> (~((~v154(constB99)) | (~v130(constB99)))))),
% 9.60/7.18 inference(quant_inst,[status(thm)],[])).
% 9.60/7.18 tff(32192,plain,
% 9.60/7.18 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB99) <=> (~((~v130(constB99)) | (~v154(constB99)))))),
% 9.60/7.18 inference(modus_ponens,[status(thm)],[32191, 32190])).
% 9.60/7.18 tff(32193,plain,
% 9.60/7.18 (v164(constB99) <=> (~((~v130(constB99)) | (~v154(constB99))))),
% 9.60/7.18 inference(unit_resolution,[status(thm)],[32192, 96])).
% 9.60/7.18 tff(32194,plain,
% 9.60/7.18 ((~![VarNext: $i] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB99) <=> v152(constB99))),
% 9.60/7.18 inference(quant_inst,[status(thm)],[])).
% 9.60/7.18 tff(32195,plain,
% 9.60/7.18 (v130(constB99) <=> v152(constB99)),
% 9.60/7.18 inference(unit_resolution,[status(thm)],[32194, 361])).
% 9.60/7.18 tff(32196,plain,
% 9.60/7.18 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB98, constB99)) | (v152(constB99) <=> v150(constB98)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB98, constB99)) | (v152(constB99) <=> v150(constB98)))),
% 9.60/7.18 inference(rewrite,[status(thm)],[])).
% 9.60/7.18 tff(32197,plain,
% 9.60/7.18 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB98, constB99)) | (v152(constB99) <=> v150(constB98)))),
% 9.60/7.18 inference(quant_inst,[status(thm)],[])).
% 9.60/7.18 tff(32198,plain,
% 9.60/7.18 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB98, constB99)) | (v152(constB99) <=> v150(constB98))),
% 9.60/7.18 inference(modus_ponens,[status(thm)],[32197, 32196])).
% 9.60/7.18 tff(32199,plain,
% 9.60/7.18 (v152(constB99) <=> v150(constB98)),
% 9.60/7.18 inference(unit_resolution,[status(thm)],[32198, 5263, 373])).
% 9.60/7.18 tff(32200,plain,
% 9.60/7.18 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v153(VarCurr) | v155(VarCurr)))) | (v150(constB98) <=> (v153(constB98) | v155(constB98)))),
% 9.60/7.18 inference(quant_inst,[status(thm)],[])).
% 9.60/7.18 tff(32201,plain,
% 9.60/7.18 (v150(constB98) <=> (v153(constB98) | v155(constB98))),
% 9.60/7.18 inference(unit_resolution,[status(thm)],[32200, 387])).
% 9.60/7.18 tff(32202,plain,
% 9.60/7.18 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB98) <=> (~((~v132(constB98)) | (~v154(constB98)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB98) <=> (~((~v132(constB98)) | (~v154(constB98))))))),
% 9.60/7.18 inference(rewrite,[status(thm)],[])).
% 9.60/7.18 tff(32203,plain,
% 9.60/7.18 ((v153(constB98) <=> (~((~v154(constB98)) | (~v132(constB98))))) <=> (v153(constB98) <=> (~((~v132(constB98)) | (~v154(constB98)))))),
% 9.60/7.18 inference(rewrite,[status(thm)],[])).
% 9.60/7.18 tff(32204,plain,
% 9.60/7.18 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB98) <=> (~((~v154(constB98)) | (~v132(constB98)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB98) <=> (~((~v132(constB98)) | (~v154(constB98))))))),
% 9.60/7.18 inference(monotonicity,[status(thm)],[32203])).
% 9.60/7.18 tff(32205,plain,
% 9.60/7.18 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB98) <=> (~((~v154(constB98)) | (~v132(constB98)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB98) <=> (~((~v132(constB98)) | (~v154(constB98))))))),
% 9.60/7.18 inference(transitivity,[status(thm)],[32204, 32202])).
% 9.60/7.18 tff(32206,plain,
% 9.60/7.18 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB98) <=> (~((~v154(constB98)) | (~v132(constB98)))))),
% 9.60/7.18 inference(quant_inst,[status(thm)],[])).
% 9.60/7.18 tff(32207,plain,
% 9.60/7.18 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB98) <=> (~((~v132(constB98)) | (~v154(constB98)))))),
% 9.60/7.18 inference(modus_ponens,[status(thm)],[32206, 32205])).
% 9.60/7.18 tff(32208,plain,
% 9.60/7.18 (v153(constB98) <=> (~((~v132(constB98)) | (~v154(constB98))))),
% 9.60/7.18 inference(unit_resolution,[status(thm)],[32207, 399])).
% 9.60/7.18 tff(32209,plain,
% 9.60/7.18 (((~v132(constB98)) | (~v154(constB98))) | v154(constB98)),
% 9.60/7.18 inference(tautology,[status(thm)],[])).
% 9.60/7.18 tff(32210,plain,
% 9.60/7.18 ((~v132(constB98)) | (~v154(constB98))),
% 9.60/7.18 inference(unit_resolution,[status(thm)],[32209, 31555])).
% 9.60/7.18 tff(32211,plain,
% 9.60/7.18 ((~(v153(constB98) <=> (~((~v132(constB98)) | (~v154(constB98)))))) | (~v153(constB98)) | (~((~v132(constB98)) | (~v154(constB98))))),
% 9.60/7.18 inference(tautology,[status(thm)],[])).
% 9.60/7.18 tff(32212,plain,
% 9.60/7.18 (~v153(constB98)),
% 9.60/7.18 inference(unit_resolution,[status(thm)],[32211, 32210, 32208])).
% 9.60/7.18 tff(32213,plain,
% 9.60/7.18 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB98) <=> (~((~v130(constB98)) | (~v139(constB98)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB98) <=> (~((~v130(constB98)) | (~v139(constB98))))))),
% 9.60/7.18 inference(rewrite,[status(thm)],[])).
% 9.60/7.18 tff(32214,plain,
% 9.60/7.18 ((v155(constB98) <=> (~((~v139(constB98)) | (~v130(constB98))))) <=> (v155(constB98) <=> (~((~v130(constB98)) | (~v139(constB98)))))),
% 9.60/7.18 inference(rewrite,[status(thm)],[])).
% 9.60/7.18 tff(32215,plain,
% 9.60/7.18 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB98) <=> (~((~v139(constB98)) | (~v130(constB98)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB98) <=> (~((~v130(constB98)) | (~v139(constB98))))))),
% 9.60/7.18 inference(monotonicity,[status(thm)],[32214])).
% 9.60/7.18 tff(32216,plain,
% 9.60/7.18 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB98) <=> (~((~v139(constB98)) | (~v130(constB98)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB98) <=> (~((~v130(constB98)) | (~v139(constB98))))))),
% 9.60/7.18 inference(transitivity,[status(thm)],[32215, 32213])).
% 9.60/7.18 tff(32217,plain,
% 9.60/7.18 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB98) <=> (~((~v139(constB98)) | (~v130(constB98)))))),
% 9.60/7.18 inference(quant_inst,[status(thm)],[])).
% 9.60/7.18 tff(32218,plain,
% 9.60/7.18 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB98) <=> (~((~v130(constB98)) | (~v139(constB98)))))),
% 9.60/7.18 inference(modus_ponens,[status(thm)],[32217, 32216])).
% 9.60/7.18 tff(32219,plain,
% 9.60/7.18 (v155(constB98) <=> (~((~v130(constB98)) | (~v139(constB98))))),
% 9.60/7.18 inference(unit_resolution,[status(thm)],[32218, 447])).
% 9.60/7.18 tff(32220,plain,
% 9.60/7.18 ((~![VarNext: $i] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB98) <=> v152(constB98))),
% 9.60/7.18 inference(quant_inst,[status(thm)],[])).
% 9.60/7.18 tff(32221,plain,
% 9.60/7.18 (v130(constB98) <=> v152(constB98)),
% 9.60/7.18 inference(unit_resolution,[status(thm)],[32220, 361])).
% 9.60/7.18 tff(32222,plain,
% 9.60/7.18 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB97, constB98)) | (v152(constB98) <=> v150(constB97)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB97, constB98)) | (v152(constB98) <=> v150(constB97)))),
% 9.60/7.18 inference(rewrite,[status(thm)],[])).
% 9.60/7.18 tff(32223,plain,
% 9.60/7.18 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB97, constB98)) | (v152(constB98) <=> v150(constB97)))),
% 9.60/7.18 inference(quant_inst,[status(thm)],[])).
% 9.60/7.18 tff(32224,plain,
% 9.60/7.18 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB97, constB98)) | (v152(constB98) <=> v150(constB97))),
% 9.60/7.18 inference(modus_ponens,[status(thm)],[32223, 32222])).
% 9.60/7.18 tff(32225,plain,
% 9.60/7.18 (v152(constB98) <=> v150(constB97)),
% 9.60/7.18 inference(unit_resolution,[status(thm)],[32224, 5295, 373])).
% 9.60/7.18 tff(32226,plain,
% 9.60/7.18 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v153(VarCurr) | v155(VarCurr)))) | (v150(constB97) <=> (v153(constB97) | v155(constB97)))),
% 9.60/7.18 inference(quant_inst,[status(thm)],[])).
% 9.60/7.18 tff(32227,plain,
% 9.60/7.18 (v150(constB97) <=> (v153(constB97) | v155(constB97))),
% 9.60/7.18 inference(unit_resolution,[status(thm)],[32226, 387])).
% 9.60/7.18 tff(32228,plain,
% 9.60/7.18 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB97) <=> (~((~v130(constB97)) | (~v139(constB97)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB97) <=> (~((~v130(constB97)) | (~v139(constB97))))))),
% 9.60/7.18 inference(rewrite,[status(thm)],[])).
% 9.60/7.18 tff(32229,plain,
% 9.60/7.18 ((v155(constB97) <=> (~((~v139(constB97)) | (~v130(constB97))))) <=> (v155(constB97) <=> (~((~v130(constB97)) | (~v139(constB97)))))),
% 9.60/7.18 inference(rewrite,[status(thm)],[])).
% 9.60/7.18 tff(32230,plain,
% 9.60/7.18 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB97) <=> (~((~v139(constB97)) | (~v130(constB97)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB97) <=> (~((~v130(constB97)) | (~v139(constB97))))))),
% 9.60/7.18 inference(monotonicity,[status(thm)],[32229])).
% 9.60/7.18 tff(32231,plain,
% 9.60/7.18 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB97) <=> (~((~v139(constB97)) | (~v130(constB97)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB97) <=> (~((~v130(constB97)) | (~v139(constB97))))))),
% 9.60/7.18 inference(transitivity,[status(thm)],[32230, 32228])).
% 9.60/7.18 tff(32232,plain,
% 9.60/7.18 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB97) <=> (~((~v139(constB97)) | (~v130(constB97)))))),
% 9.60/7.18 inference(quant_inst,[status(thm)],[])).
% 9.60/7.18 tff(32233,plain,
% 9.60/7.18 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB97) <=> (~((~v130(constB97)) | (~v139(constB97)))))),
% 9.60/7.18 inference(modus_ponens,[status(thm)],[32232, 32231])).
% 9.60/7.18 tff(32234,plain,
% 9.60/7.18 (v155(constB97) <=> (~((~v130(constB97)) | (~v139(constB97))))),
% 9.60/7.18 inference(unit_resolution,[status(thm)],[32233, 447])).
% 9.60/7.18 tff(32235,plain,
% 9.60/7.18 (((~v130(constB97)) | (~v139(constB97))) | v139(constB97)),
% 9.60/7.18 inference(tautology,[status(thm)],[])).
% 9.60/7.18 tff(32236,plain,
% 9.60/7.18 ((~v130(constB97)) | (~v139(constB97))),
% 9.60/7.18 inference(unit_resolution,[status(thm)],[32235, 31643])).
% 9.60/7.18 tff(32237,plain,
% 9.60/7.18 ((~(v155(constB97) <=> (~((~v130(constB97)) | (~v139(constB97)))))) | (~v155(constB97)) | (~((~v130(constB97)) | (~v139(constB97))))),
% 9.60/7.18 inference(tautology,[status(thm)],[])).
% 9.60/7.18 tff(32238,plain,
% 9.60/7.18 (~v155(constB97)),
% 9.60/7.18 inference(unit_resolution,[status(thm)],[32237, 32236, 32234])).
% 9.60/7.18 tff(32239,plain,
% 9.60/7.18 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB97) <=> (~((~v132(constB97)) | (~v154(constB97)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB97) <=> (~((~v132(constB97)) | (~v154(constB97))))))),
% 9.60/7.18 inference(rewrite,[status(thm)],[])).
% 9.60/7.18 tff(32240,plain,
% 9.60/7.18 ((v153(constB97) <=> (~((~v154(constB97)) | (~v132(constB97))))) <=> (v153(constB97) <=> (~((~v132(constB97)) | (~v154(constB97)))))),
% 9.60/7.18 inference(rewrite,[status(thm)],[])).
% 9.60/7.18 tff(32241,plain,
% 9.60/7.18 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB97) <=> (~((~v154(constB97)) | (~v132(constB97)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB97) <=> (~((~v132(constB97)) | (~v154(constB97))))))),
% 9.60/7.18 inference(monotonicity,[status(thm)],[32240])).
% 9.60/7.18 tff(32242,plain,
% 9.60/7.18 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB97) <=> (~((~v154(constB97)) | (~v132(constB97)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB97) <=> (~((~v132(constB97)) | (~v154(constB97))))))),
% 9.60/7.18 inference(transitivity,[status(thm)],[32241, 32239])).
% 9.60/7.18 tff(32243,plain,
% 9.60/7.18 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB97) <=> (~((~v154(constB97)) | (~v132(constB97)))))),
% 9.60/7.18 inference(quant_inst,[status(thm)],[])).
% 9.60/7.18 tff(32244,plain,
% 9.60/7.18 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB97) <=> (~((~v132(constB97)) | (~v154(constB97)))))),
% 9.60/7.18 inference(modus_ponens,[status(thm)],[32243, 32242])).
% 9.60/7.18 tff(32245,plain,
% 9.60/7.18 (v153(constB97) <=> (~((~v132(constB97)) | (~v154(constB97))))),
% 9.60/7.18 inference(unit_resolution,[status(thm)],[32244, 399])).
% 9.60/7.18 tff(32246,plain,
% 9.60/7.18 ((~![VarNext: $i] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB97) <=> v137(constB97))),
% 9.60/7.19 inference(quant_inst,[status(thm)],[])).
% 9.60/7.19 tff(32247,plain,
% 9.60/7.19 (v132(constB97) <=> v137(constB97)),
% 9.60/7.19 inference(unit_resolution,[status(thm)],[32246, 558])).
% 9.60/7.19 tff(32248,plain,
% 9.60/7.19 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB96, constB97)) | (v137(constB97) <=> v135(constB96)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB96, constB97)) | (v137(constB97) <=> v135(constB96)))),
% 9.60/7.19 inference(rewrite,[status(thm)],[])).
% 9.60/7.19 tff(32249,plain,
% 9.60/7.19 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB96, constB97)) | (v137(constB97) <=> v135(constB96)))),
% 9.60/7.19 inference(quant_inst,[status(thm)],[])).
% 9.60/7.19 tff(32250,plain,
% 9.60/7.19 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB96, constB97)) | (v137(constB97) <=> v135(constB96))),
% 9.60/7.19 inference(modus_ponens,[status(thm)],[32249, 32248])).
% 9.60/7.19 tff(32251,plain,
% 9.60/7.19 (v137(constB97) <=> v135(constB96)),
% 9.60/7.19 inference(unit_resolution,[status(thm)],[32250, 5350, 570])).
% 9.60/7.19 tff(32252,plain,
% 9.60/7.19 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB96) <=> (v138(constB96) | v142(constB96)))),
% 9.60/7.19 inference(quant_inst,[status(thm)],[])).
% 9.60/7.19 tff(32253,plain,
% 9.60/7.19 (v135(constB96) <=> (v138(constB96) | v142(constB96))),
% 9.60/7.19 inference(unit_resolution,[status(thm)],[32252, 584])).
% 9.60/7.19 tff(32254,plain,
% 9.60/7.19 ((~![VarCurr: $i] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB96) <=> (~((~v143(constB96)) | (~v144(constB96)))))),
% 9.60/7.19 inference(quant_inst,[status(thm)],[])).
% 9.60/7.19 tff(32255,plain,
% 9.60/7.19 (v142(constB96) <=> (~((~v143(constB96)) | (~v144(constB96))))),
% 9.60/7.19 inference(unit_resolution,[status(thm)],[32254, 596])).
% 9.60/7.19 tff(32256,plain,
% 9.60/7.19 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB96) <=> (~((~v141(constB96)) | (~v145(constB96)))))),
% 9.60/7.19 inference(quant_inst,[status(thm)],[])).
% 9.60/7.19 tff(32257,plain,
% 9.60/7.19 (v144(constB96) <=> (~((~v141(constB96)) | (~v145(constB96))))),
% 9.60/7.19 inference(unit_resolution,[status(thm)],[32256, 608])).
% 9.60/7.19 tff(32258,plain,
% 9.60/7.19 (((~v141(constB96)) | (~v145(constB96))) | v141(constB96)),
% 9.60/7.19 inference(tautology,[status(thm)],[])).
% 9.60/7.19 tff(32259,plain,
% 9.60/7.19 ((~v141(constB96)) | (~v145(constB96))),
% 9.60/7.19 inference(unit_resolution,[status(thm)],[32258, 31688])).
% 9.60/7.19 tff(32260,plain,
% 9.60/7.19 ((~(v144(constB96) <=> (~((~v141(constB96)) | (~v145(constB96)))))) | (~v144(constB96)) | (~((~v141(constB96)) | (~v145(constB96))))),
% 9.60/7.19 inference(tautology,[status(thm)],[])).
% 9.60/7.19 tff(32261,plain,
% 9.60/7.19 ((~(v144(constB96) <=> (~((~v141(constB96)) | (~v145(constB96)))))) | (~v144(constB96))),
% 9.60/7.19 inference(unit_resolution,[status(thm)],[32260, 32259])).
% 9.60/7.19 tff(32262,plain,
% 9.60/7.19 (~v144(constB96)),
% 9.60/7.19 inference(unit_resolution,[status(thm)],[32261, 32257])).
% 9.60/7.19 tff(32263,plain,
% 9.60/7.19 (((~v143(constB96)) | (~v144(constB96))) | v144(constB96)),
% 9.60/7.19 inference(tautology,[status(thm)],[])).
% 9.60/7.19 tff(32264,plain,
% 9.60/7.19 ((~v143(constB96)) | (~v144(constB96))),
% 9.60/7.19 inference(unit_resolution,[status(thm)],[32263, 32262])).
% 9.60/7.19 tff(32265,plain,
% 9.60/7.19 ((~(v142(constB96) <=> (~((~v143(constB96)) | (~v144(constB96)))))) | (~v142(constB96)) | (~((~v143(constB96)) | (~v144(constB96))))),
% 9.60/7.19 inference(tautology,[status(thm)],[])).
% 9.60/7.19 tff(32266,plain,
% 9.60/7.19 (~v142(constB96)),
% 9.60/7.19 inference(unit_resolution,[status(thm)],[32265, 32264, 32255])).
% 9.60/7.19 tff(32267,plain,
% 9.60/7.19 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB96) <=> (~((~v132(constB96)) | (~v139(constB96)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB96) <=> (~((~v132(constB96)) | (~v139(constB96))))))),
% 9.60/7.19 inference(rewrite,[status(thm)],[])).
% 9.60/7.19 tff(32268,plain,
% 9.60/7.19 ((v138(constB96) <=> (~((~v139(constB96)) | (~v132(constB96))))) <=> (v138(constB96) <=> (~((~v132(constB96)) | (~v139(constB96)))))),
% 9.60/7.19 inference(rewrite,[status(thm)],[])).
% 9.60/7.19 tff(32269,plain,
% 9.60/7.19 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB96) <=> (~((~v139(constB96)) | (~v132(constB96)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB96) <=> (~((~v132(constB96)) | (~v139(constB96))))))),
% 9.60/7.19 inference(monotonicity,[status(thm)],[32268])).
% 9.60/7.19 tff(32270,plain,
% 9.60/7.19 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB96) <=> (~((~v139(constB96)) | (~v132(constB96)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB96) <=> (~((~v132(constB96)) | (~v139(constB96))))))),
% 9.60/7.19 inference(transitivity,[status(thm)],[32269, 32267])).
% 9.60/7.19 tff(32271,plain,
% 9.60/7.19 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB96) <=> (~((~v139(constB96)) | (~v132(constB96)))))),
% 9.60/7.19 inference(quant_inst,[status(thm)],[])).
% 9.60/7.19 tff(32272,plain,
% 9.60/7.19 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB96) <=> (~((~v132(constB96)) | (~v139(constB96)))))),
% 9.60/7.19 inference(modus_ponens,[status(thm)],[32271, 32270])).
% 9.60/7.19 tff(32273,plain,
% 9.60/7.19 (v138(constB96) <=> (~((~v132(constB96)) | (~v139(constB96))))),
% 9.60/7.19 inference(unit_resolution,[status(thm)],[32272, 644])).
% 9.60/7.19 tff(32274,plain,
% 9.60/7.19 ((~![VarNext: $i] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB96) <=> v137(constB96))),
% 9.60/7.19 inference(quant_inst,[status(thm)],[])).
% 9.60/7.19 tff(32275,plain,
% 9.60/7.19 (v132(constB96) <=> v137(constB96)),
% 9.60/7.19 inference(unit_resolution,[status(thm)],[32274, 558])).
% 9.60/7.19 tff(32276,plain,
% 9.60/7.19 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB95, constB96)) | (v137(constB96) <=> v135(constB95)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB95, constB96)) | (v137(constB96) <=> v135(constB95)))),
% 9.60/7.19 inference(rewrite,[status(thm)],[])).
% 9.60/7.19 tff(32277,plain,
% 9.60/7.19 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB95, constB96)) | (v137(constB96) <=> v135(constB95)))),
% 9.60/7.19 inference(quant_inst,[status(thm)],[])).
% 9.60/7.19 tff(32278,plain,
% 9.60/7.19 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB95, constB96)) | (v137(constB96) <=> v135(constB95))),
% 9.60/7.19 inference(modus_ponens,[status(thm)],[32277, 32276])).
% 9.60/7.19 tff(32279,plain,
% 9.60/7.19 (v137(constB96) <=> v135(constB95)),
% 9.60/7.19 inference(unit_resolution,[status(thm)],[32278, 5382, 570])).
% 9.60/7.19 tff(32280,plain,
% 9.60/7.19 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB95) <=> (v138(constB95) | v142(constB95)))),
% 9.60/7.19 inference(quant_inst,[status(thm)],[])).
% 9.60/7.19 tff(32281,plain,
% 9.60/7.19 (v135(constB95) <=> (v138(constB95) | v142(constB95))),
% 9.60/7.19 inference(unit_resolution,[status(thm)],[32280, 584])).
% 9.60/7.19 tff(32282,plain,
% 9.60/7.19 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB95) <=> (~((~v132(constB95)) | (~v139(constB95)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB95) <=> (~((~v132(constB95)) | (~v139(constB95))))))),
% 9.60/7.19 inference(rewrite,[status(thm)],[])).
% 9.60/7.19 tff(32283,plain,
% 9.60/7.19 ((v138(constB95) <=> (~((~v139(constB95)) | (~v132(constB95))))) <=> (v138(constB95) <=> (~((~v132(constB95)) | (~v139(constB95)))))),
% 9.60/7.19 inference(rewrite,[status(thm)],[])).
% 9.60/7.19 tff(32284,plain,
% 9.60/7.19 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB95) <=> (~((~v139(constB95)) | (~v132(constB95)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB95) <=> (~((~v132(constB95)) | (~v139(constB95))))))),
% 9.60/7.19 inference(monotonicity,[status(thm)],[32283])).
% 9.60/7.19 tff(32285,plain,
% 9.60/7.19 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB95) <=> (~((~v139(constB95)) | (~v132(constB95)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB95) <=> (~((~v132(constB95)) | (~v139(constB95))))))),
% 9.60/7.19 inference(transitivity,[status(thm)],[32284, 32282])).
% 9.60/7.19 tff(32286,plain,
% 9.60/7.19 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB95) <=> (~((~v139(constB95)) | (~v132(constB95)))))),
% 9.60/7.19 inference(quant_inst,[status(thm)],[])).
% 9.60/7.19 tff(32287,plain,
% 9.60/7.19 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB95) <=> (~((~v132(constB95)) | (~v139(constB95)))))),
% 9.60/7.19 inference(modus_ponens,[status(thm)],[32286, 32285])).
% 9.60/7.19 tff(32288,plain,
% 9.60/7.19 (v138(constB95) <=> (~((~v132(constB95)) | (~v139(constB95))))),
% 9.60/7.19 inference(unit_resolution,[status(thm)],[32287, 644])).
% 9.60/7.19 tff(32289,plain,
% 9.60/7.19 (((~v132(constB95)) | (~v139(constB95))) | v139(constB95)),
% 9.60/7.19 inference(tautology,[status(thm)],[])).
% 9.60/7.19 tff(32290,plain,
% 9.60/7.19 ((~v132(constB95)) | (~v139(constB95))),
% 9.60/7.19 inference(unit_resolution,[status(thm)],[32289, 31781])).
% 9.60/7.19 tff(32291,plain,
% 9.60/7.19 ((~(v138(constB95) <=> (~((~v132(constB95)) | (~v139(constB95)))))) | (~v138(constB95)) | (~((~v132(constB95)) | (~v139(constB95))))),
% 9.60/7.19 inference(tautology,[status(thm)],[])).
% 9.60/7.19 tff(32292,plain,
% 9.60/7.19 (~v138(constB95)),
% 9.60/7.19 inference(unit_resolution,[status(thm)],[32291, 32290, 32288])).
% 9.60/7.19 tff(32293,plain,
% 9.60/7.19 ((~![VarCurr: $i] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB95) <=> (~((~v143(constB95)) | (~v144(constB95)))))),
% 9.60/7.19 inference(quant_inst,[status(thm)],[])).
% 9.60/7.19 tff(32294,plain,
% 9.60/7.19 (v142(constB95) <=> (~((~v143(constB95)) | (~v144(constB95))))),
% 9.60/7.19 inference(unit_resolution,[status(thm)],[32293, 596])).
% 9.60/7.19 tff(32295,plain,
% 9.60/7.19 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB95) <=> (~((~v141(constB95)) | (~v145(constB95)))))),
% 9.60/7.19 inference(quant_inst,[status(thm)],[])).
% 9.60/7.19 tff(32296,plain,
% 9.60/7.19 (v144(constB95) <=> (~((~v141(constB95)) | (~v145(constB95))))),
% 9.60/7.19 inference(unit_resolution,[status(thm)],[32295, 608])).
% 9.60/7.19 tff(32297,plain,
% 9.60/7.19 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB95) <=> (~(v84(constB95, bitIndex2) | v84(constB95, bitIndex1) | (~v84(constB95, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB95) <=> (~(v84(constB95, bitIndex2) | v84(constB95, bitIndex1) | (~v84(constB95, bitIndex0))))))),
% 9.60/7.19 inference(rewrite,[status(thm)],[])).
% 9.60/7.19 tff(32298,plain,
% 9.60/7.19 ((v145(constB95) <=> (~(v84(constB95, bitIndex1) | v84(constB95, bitIndex2) | (~v84(constB95, bitIndex0))))) <=> (v145(constB95) <=> (~(v84(constB95, bitIndex2) | v84(constB95, bitIndex1) | (~v84(constB95, bitIndex0)))))),
% 9.60/7.19 inference(rewrite,[status(thm)],[])).
% 9.60/7.19 tff(32299,plain,
% 9.60/7.19 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB95) <=> (~(v84(constB95, bitIndex1) | v84(constB95, bitIndex2) | (~v84(constB95, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB95) <=> (~(v84(constB95, bitIndex2) | v84(constB95, bitIndex1) | (~v84(constB95, bitIndex0))))))),
% 9.60/7.19 inference(monotonicity,[status(thm)],[32298])).
% 9.60/7.19 tff(32300,plain,
% 9.60/7.19 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB95) <=> (~(v84(constB95, bitIndex1) | v84(constB95, bitIndex2) | (~v84(constB95, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB95) <=> (~(v84(constB95, bitIndex2) | v84(constB95, bitIndex1) | (~v84(constB95, bitIndex0))))))),
% 9.60/7.19 inference(transitivity,[status(thm)],[32299, 32297])).
% 9.60/7.19 tff(32301,plain,
% 9.60/7.19 ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB95) <=> (~(v84(constB95, bitIndex1) | v84(constB95, bitIndex2) | (~v84(constB95, bitIndex0)))))),
% 9.60/7.19 inference(quant_inst,[status(thm)],[])).
% 9.60/7.19 tff(32302,plain,
% 9.60/7.19 ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB95) <=> (~(v84(constB95, bitIndex2) | v84(constB95, bitIndex1) | (~v84(constB95, bitIndex0)))))),
% 9.60/7.19 inference(modus_ponens,[status(thm)],[32301, 32300])).
% 9.60/7.19 tff(32303,plain,
% 9.60/7.19 (v145(constB95) <=> (~(v84(constB95, bitIndex2) | v84(constB95, bitIndex1) | (~v84(constB95, bitIndex0))))),
% 9.60/7.19 inference(unit_resolution,[status(thm)],[32302, 755])).
% 9.60/7.19 tff(32304,plain,
% 9.60/7.19 ((v84(constB95, bitIndex2) | v84(constB95, bitIndex1) | (~v84(constB95, bitIndex0))) | (~v84(constB95, bitIndex2))),
% 9.60/7.19 inference(tautology,[status(thm)],[])).
% 9.60/7.19 tff(32305,plain,
% 9.60/7.19 (v84(constB95, bitIndex2) | v84(constB95, bitIndex1) | (~v84(constB95, bitIndex0))),
% 9.60/7.19 inference(unit_resolution,[status(thm)],[32304, 17541])).
% 9.60/7.19 tff(32306,plain,
% 9.60/7.19 ((~(v145(constB95) <=> (~(v84(constB95, bitIndex2) | v84(constB95, bitIndex1) | (~v84(constB95, bitIndex0)))))) | (~v145(constB95)) | (~(v84(constB95, bitIndex2) | v84(constB95, bitIndex1) | (~v84(constB95, bitIndex0))))),
% 9.60/7.19 inference(tautology,[status(thm)],[])).
% 9.60/7.19 tff(32307,plain,
% 9.60/7.19 (~v145(constB95)),
% 9.60/7.19 inference(unit_resolution,[status(thm)],[32306, 32305, 32303])).
% 9.60/7.19 tff(32308,plain,
% 9.60/7.19 (((~v141(constB95)) | (~v145(constB95))) | v145(constB95)),
% 9.60/7.19 inference(tautology,[status(thm)],[])).
% 9.60/7.19 tff(32309,plain,
% 9.60/7.19 ((~v141(constB95)) | (~v145(constB95))),
% 9.60/7.19 inference(unit_resolution,[status(thm)],[32308, 32307])).
% 9.60/7.19 tff(32310,plain,
% 9.60/7.19 ((~(v144(constB95) <=> (~((~v141(constB95)) | (~v145(constB95)))))) | (~v144(constB95)) | (~((~v141(constB95)) | (~v145(constB95))))),
% 9.60/7.19 inference(tautology,[status(thm)],[])).
% 9.60/7.19 tff(32311,plain,
% 9.60/7.19 (~v144(constB95)),
% 9.60/7.19 inference(unit_resolution,[status(thm)],[32310, 32309, 32296])).
% 9.60/7.19 tff(32312,plain,
% 9.60/7.19 (((~v143(constB95)) | (~v144(constB95))) | v144(constB95)),
% 9.60/7.19 inference(tautology,[status(thm)],[])).
% 9.60/7.19 tff(32313,plain,
% 9.60/7.19 ((~v143(constB95)) | (~v144(constB95))),
% 9.60/7.19 inference(unit_resolution,[status(thm)],[32312, 32311])).
% 9.60/7.19 tff(32314,plain,
% 9.60/7.19 ((~(v142(constB95) <=> (~((~v143(constB95)) | (~v144(constB95)))))) | (~v142(constB95)) | (~((~v143(constB95)) | (~v144(constB95))))),
% 9.60/7.19 inference(tautology,[status(thm)],[])).
% 9.60/7.19 tff(32315,plain,
% 9.60/7.19 (~v142(constB95)),
% 9.60/7.19 inference(unit_resolution,[status(thm)],[32314, 32313, 32294])).
% 9.60/7.19 tff(32316,plain,
% 9.60/7.19 ((~(v138(constB95) | v142(constB95))) | v138(constB95) | v142(constB95)),
% 9.60/7.19 inference(tautology,[status(thm)],[])).
% 9.60/7.19 tff(32317,plain,
% 9.60/7.19 (~(v138(constB95) | v142(constB95))),
% 9.60/7.19 inference(unit_resolution,[status(thm)],[32316, 32315, 32292])).
% 9.60/7.19 tff(32318,plain,
% 9.60/7.19 ((~(v135(constB95) <=> (v138(constB95) | v142(constB95)))) | (~v135(constB95)) | (v138(constB95) | v142(constB95))),
% 9.60/7.19 inference(tautology,[status(thm)],[])).
% 9.60/7.19 tff(32319,plain,
% 9.60/7.19 (~v135(constB95)),
% 9.60/7.19 inference(unit_resolution,[status(thm)],[32318, 32317, 32281])).
% 9.60/7.19 tff(32320,plain,
% 9.60/7.19 ((~(v137(constB96) <=> v135(constB95))) | (~v137(constB96)) | v135(constB95)),
% 9.60/7.19 inference(tautology,[status(thm)],[])).
% 9.60/7.19 tff(32321,plain,
% 9.60/7.19 (~v137(constB96)),
% 9.60/7.19 inference(unit_resolution,[status(thm)],[32320, 32319, 32279])).
% 9.60/7.19 tff(32322,plain,
% 9.60/7.19 ((~(v132(constB96) <=> v137(constB96))) | (~v132(constB96)) | v137(constB96)),
% 9.60/7.19 inference(tautology,[status(thm)],[])).
% 9.60/7.19 tff(32323,plain,
% 9.60/7.19 (~v132(constB96)),
% 9.60/7.19 inference(unit_resolution,[status(thm)],[32322, 32321, 32275])).
% 9.60/7.19 tff(32324,plain,
% 9.60/7.19 (((~v132(constB96)) | (~v139(constB96))) | v132(constB96)),
% 9.60/7.19 inference(tautology,[status(thm)],[])).
% 9.60/7.19 tff(32325,plain,
% 9.60/7.19 ((~v132(constB96)) | (~v139(constB96))),
% 9.60/7.19 inference(unit_resolution,[status(thm)],[32324, 32323])).
% 9.60/7.19 tff(32326,plain,
% 9.60/7.19 ((~(v138(constB96) <=> (~((~v132(constB96)) | (~v139(constB96)))))) | (~v138(constB96)) | (~((~v132(constB96)) | (~v139(constB96))))),
% 9.60/7.19 inference(tautology,[status(thm)],[])).
% 9.60/7.19 tff(32327,plain,
% 9.60/7.19 (~v138(constB96)),
% 9.60/7.19 inference(unit_resolution,[status(thm)],[32326, 32325, 32273])).
% 9.60/7.19 tff(32328,plain,
% 9.60/7.19 ((~(v138(constB96) | v142(constB96))) | v138(constB96) | v142(constB96)),
% 9.60/7.19 inference(tautology,[status(thm)],[])).
% 9.60/7.19 tff(32329,plain,
% 9.60/7.19 (~(v138(constB96) | v142(constB96))),
% 9.60/7.19 inference(unit_resolution,[status(thm)],[32328, 32327, 32266])).
% 9.60/7.19 tff(32330,plain,
% 9.60/7.19 ((~(v135(constB96) <=> (v138(constB96) | v142(constB96)))) | (~v135(constB96)) | (v138(constB96) | v142(constB96))),
% 9.60/7.19 inference(tautology,[status(thm)],[])).
% 9.60/7.19 tff(32331,plain,
% 9.60/7.19 (~v135(constB96)),
% 9.60/7.19 inference(unit_resolution,[status(thm)],[32330, 32329, 32253])).
% 9.60/7.19 tff(32332,plain,
% 9.60/7.19 ((~(v137(constB97) <=> v135(constB96))) | (~v137(constB97)) | v135(constB96)),
% 9.60/7.19 inference(tautology,[status(thm)],[])).
% 9.60/7.19 tff(32333,plain,
% 9.60/7.19 (~v137(constB97)),
% 9.60/7.19 inference(unit_resolution,[status(thm)],[32332, 32331, 32251])).
% 9.60/7.19 tff(32334,plain,
% 9.60/7.19 ((~(v132(constB97) <=> v137(constB97))) | (~v132(constB97)) | v137(constB97)),
% 9.60/7.19 inference(tautology,[status(thm)],[])).
% 9.60/7.19 tff(32335,plain,
% 9.60/7.19 (~v132(constB97)),
% 9.60/7.19 inference(unit_resolution,[status(thm)],[32334, 32333, 32247])).
% 9.60/7.19 tff(32336,plain,
% 9.60/7.19 (((~v132(constB97)) | (~v154(constB97))) | v132(constB97)),
% 9.60/7.19 inference(tautology,[status(thm)],[])).
% 9.60/7.19 tff(32337,plain,
% 9.60/7.19 ((~v132(constB97)) | (~v154(constB97))),
% 9.60/7.19 inference(unit_resolution,[status(thm)],[32336, 32335])).
% 9.60/7.19 tff(32338,plain,
% 9.60/7.19 ((~(v153(constB97) <=> (~((~v132(constB97)) | (~v154(constB97)))))) | (~v153(constB97)) | (~((~v132(constB97)) | (~v154(constB97))))),
% 9.60/7.19 inference(tautology,[status(thm)],[])).
% 9.60/7.19 tff(32339,plain,
% 9.60/7.19 (~v153(constB97)),
% 9.60/7.19 inference(unit_resolution,[status(thm)],[32338, 32337, 32245])).
% 9.60/7.19 tff(32340,plain,
% 9.60/7.19 ((~(v153(constB97) | v155(constB97))) | v153(constB97) | v155(constB97)),
% 9.60/7.19 inference(tautology,[status(thm)],[])).
% 9.60/7.19 tff(32341,plain,
% 9.60/7.19 (~(v153(constB97) | v155(constB97))),
% 9.60/7.19 inference(unit_resolution,[status(thm)],[32340, 32339, 32238])).
% 9.60/7.19 tff(32342,plain,
% 9.60/7.19 ((~(v150(constB97) <=> (v153(constB97) | v155(constB97)))) | (~v150(constB97)) | (v153(constB97) | v155(constB97))),
% 9.60/7.19 inference(tautology,[status(thm)],[])).
% 9.60/7.19 tff(32343,plain,
% 9.60/7.19 (~v150(constB97)),
% 9.60/7.19 inference(unit_resolution,[status(thm)],[32342, 32341, 32227])).
% 9.60/7.19 tff(32344,plain,
% 9.60/7.19 ((~(v152(constB98) <=> v150(constB97))) | (~v152(constB98)) | v150(constB97)),
% 9.60/7.19 inference(tautology,[status(thm)],[])).
% 9.60/7.19 tff(32345,plain,
% 9.60/7.19 (~v152(constB98)),
% 9.60/7.19 inference(unit_resolution,[status(thm)],[32344, 32343, 32225])).
% 9.60/7.19 tff(32346,plain,
% 9.60/7.19 ((~(v130(constB98) <=> v152(constB98))) | (~v130(constB98)) | v152(constB98)),
% 9.60/7.19 inference(tautology,[status(thm)],[])).
% 9.60/7.19 tff(32347,plain,
% 9.60/7.19 (~v130(constB98)),
% 9.60/7.19 inference(unit_resolution,[status(thm)],[32346, 32345, 32221])).
% 9.60/7.19 tff(32348,plain,
% 9.60/7.19 (((~v130(constB98)) | (~v139(constB98))) | v130(constB98)),
% 9.60/7.19 inference(tautology,[status(thm)],[])).
% 9.60/7.19 tff(32349,plain,
% 9.60/7.19 ((~v130(constB98)) | (~v139(constB98))),
% 9.60/7.19 inference(unit_resolution,[status(thm)],[32348, 32347])).
% 9.60/7.19 tff(32350,plain,
% 9.60/7.19 ((~(v155(constB98) <=> (~((~v130(constB98)) | (~v139(constB98)))))) | (~v155(constB98)) | (~((~v130(constB98)) | (~v139(constB98))))),
% 9.60/7.19 inference(tautology,[status(thm)],[])).
% 9.60/7.19 tff(32351,plain,
% 9.60/7.19 (~v155(constB98)),
% 9.60/7.19 inference(unit_resolution,[status(thm)],[32350, 32349, 32219])).
% 9.60/7.19 tff(32352,plain,
% 9.60/7.19 ((~(v153(constB98) | v155(constB98))) | v153(constB98) | v155(constB98)),
% 9.60/7.19 inference(tautology,[status(thm)],[])).
% 9.60/7.19 tff(32353,plain,
% 9.60/7.19 (~(v153(constB98) | v155(constB98))),
% 9.60/7.19 inference(unit_resolution,[status(thm)],[32352, 32351, 32212])).
% 9.60/7.19 tff(32354,plain,
% 9.60/7.19 ((~(v150(constB98) <=> (v153(constB98) | v155(constB98)))) | (~v150(constB98)) | (v153(constB98) | v155(constB98))),
% 9.60/7.19 inference(tautology,[status(thm)],[])).
% 9.60/7.19 tff(32355,plain,
% 9.60/7.19 (~v150(constB98)),
% 9.60/7.19 inference(unit_resolution,[status(thm)],[32354, 32353, 32201])).
% 9.60/7.19 tff(32356,plain,
% 9.60/7.19 ((~(v152(constB99) <=> v150(constB98))) | (~v152(constB99)) | v150(constB98)),
% 9.60/7.19 inference(tautology,[status(thm)],[])).
% 9.60/7.19 tff(32357,plain,
% 9.60/7.19 (~v152(constB99)),
% 9.60/7.19 inference(unit_resolution,[status(thm)],[32356, 32355, 32199])).
% 9.60/7.19 tff(32358,plain,
% 9.60/7.19 ((~(v130(constB99) <=> v152(constB99))) | (~v130(constB99)) | v152(constB99)),
% 9.60/7.19 inference(tautology,[status(thm)],[])).
% 9.60/7.19 tff(32359,plain,
% 9.60/7.19 (~v130(constB99)),
% 9.60/7.19 inference(unit_resolution,[status(thm)],[32358, 32357, 32195])).
% 9.60/7.19 tff(32360,plain,
% 9.60/7.19 (((~v130(constB99)) | (~v154(constB99))) | v130(constB99)),
% 9.60/7.19 inference(tautology,[status(thm)],[])).
% 9.60/7.19 tff(32361,plain,
% 9.60/7.19 ((~v130(constB99)) | (~v154(constB99))),
% 9.60/7.19 inference(unit_resolution,[status(thm)],[32360, 32359])).
% 9.60/7.19 tff(32362,plain,
% 9.60/7.19 ((~(v164(constB99) <=> (~((~v130(constB99)) | (~v154(constB99)))))) | (~v164(constB99)) | (~((~v130(constB99)) | (~v154(constB99))))),
% 9.60/7.19 inference(tautology,[status(thm)],[])).
% 9.60/7.19 tff(32363,plain,
% 9.60/7.19 (~v164(constB99)),
% 9.60/7.19 inference(unit_resolution,[status(thm)],[32362, 32361, 32193])).
% 9.60/7.19 tff(32364,plain,
% 9.60/7.19 ((~(v163(constB99) | v164(constB99))) | v163(constB99) | v164(constB99)),
% 9.60/7.19 inference(tautology,[status(thm)],[])).
% 9.60/7.19 tff(32365,plain,
% 9.60/7.19 (~(v163(constB99) | v164(constB99))),
% 9.60/7.19 inference(unit_resolution,[status(thm)],[32364, 32363, 32186])).
% 9.60/7.19 tff(32366,plain,
% 9.60/7.19 ((~(v160(constB99) <=> (v163(constB99) | v164(constB99)))) | (~v160(constB99)) | (v163(constB99) | v164(constB99))),
% 9.60/7.19 inference(tautology,[status(thm)],[])).
% 9.60/7.19 tff(32367,plain,
% 9.60/7.19 (~v160(constB99)),
% 9.60/7.19 inference(unit_resolution,[status(thm)],[32366, 32365, 32113])).
% 9.60/7.19 tff(32368,plain,
% 9.60/7.19 ((~(v162(constB100) <=> v160(constB99))) | (~v162(constB100)) | v160(constB99)),
% 9.60/7.19 inference(tautology,[status(thm)],[])).
% 9.60/7.19 tff(32369,plain,
% 9.60/7.19 (~v162(constB100)),
% 9.60/7.19 inference(unit_resolution,[status(thm)],[32368, 32367, 32111])).
% 9.60/7.19 tff(32370,plain,
% 9.60/7.19 ((~(v128(constB100) <=> v162(constB100))) | (~v128(constB100)) | v162(constB100)),
% 9.60/7.19 inference(tautology,[status(thm)],[])).
% 9.60/7.19 tff(32371,plain,
% 9.60/7.19 (~v128(constB100)),
% 9.60/7.19 inference(unit_resolution,[status(thm)],[32370, 32369, 32107])).
% 9.60/7.19 tff(32372,plain,
% 9.60/7.19 (((~v128(constB100)) | (~v139(constB100))) | v128(constB100)),
% 9.60/7.19 inference(tautology,[status(thm)],[])).
% 9.60/7.19 tff(32373,plain,
% 9.60/7.19 ((~v128(constB100)) | (~v139(constB100))),
% 9.60/7.19 inference(unit_resolution,[status(thm)],[32372, 32371])).
% 9.60/7.19 tff(32374,plain,
% 9.60/7.19 ((~(v163(constB100) <=> (~((~v128(constB100)) | (~v139(constB100)))))) | (~v163(constB100)) | (~((~v128(constB100)) | (~v139(constB100))))),
% 9.60/7.19 inference(tautology,[status(thm)],[])).
% 9.60/7.19 tff(32375,plain,
% 9.60/7.19 (~v163(constB100)),
% 9.60/7.19 inference(unit_resolution,[status(thm)],[32374, 32373, 32105])).
% 9.60/7.19 tff(32376,plain,
% 9.60/7.19 ((~(v163(constB100) | v164(constB100))) | v163(constB100) | v164(constB100)),
% 9.60/7.19 inference(tautology,[status(thm)],[])).
% 9.60/7.19 tff(32377,plain,
% 9.60/7.19 (~(v163(constB100) | v164(constB100))),
% 9.60/7.19 inference(unit_resolution,[status(thm)],[32376, 32375, 32098])).
% 9.60/7.19 tff(32378,plain,
% 9.60/7.19 ((~(v160(constB100) <=> (v163(constB100) | v164(constB100)))) | (~v160(constB100)) | (v163(constB100) | v164(constB100))),
% 9.60/7.19 inference(tautology,[status(thm)],[])).
% 9.60/7.19 tff(32379,plain,
% 9.60/7.19 (~v160(constB100)),
% 9.60/7.19 inference(unit_resolution,[status(thm)],[32378, 32377, 32063])).
% 9.60/7.19 tff(32380,plain,
% 9.60/7.19 ((~(v162(constB101) <=> v160(constB100))) | (~v162(constB101)) | v160(constB100)),
% 9.60/7.19 inference(tautology,[status(thm)],[])).
% 9.60/7.19 tff(32381,plain,
% 9.60/7.19 (~v162(constB101)),
% 9.60/7.19 inference(unit_resolution,[status(thm)],[32380, 32379, 32061])).
% 9.60/7.19 tff(32382,plain,
% 9.60/7.19 ($false),
% 9.60/7.19 inference(unit_resolution,[status(thm)],[32381, 32057])).
% 9.60/7.19 tff(32383,plain,(~(constB101 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.60/7.19 tff(32384,assumption,(constB193 = VarCurr!0), introduced(assumption)).
% 9.60/7.19 tff(32385,plain,
% 9.60/7.19 (v162(constB193) <=> v162(VarCurr!0)),
% 9.60/7.19 inference(monotonicity,[status(thm)],[32384])).
% 9.60/7.19 tff(32386,plain,
% 9.60/7.19 (v162(VarCurr!0) <=> v162(constB193)),
% 9.60/7.19 inference(symmetry,[status(thm)],[32385])).
% 9.60/7.19 tff(32387,plain,
% 9.60/7.19 (v162(constB193)),
% 9.60/7.19 inference(modus_ponens,[status(thm)],[59, 32386])).
% 9.60/7.19 tff(32388,plain,
% 9.60/7.19 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB192, constB193)) | (v162(constB193) <=> v160(constB192)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB192, constB193)) | (v162(constB193) <=> v160(constB192)))),
% 9.60/7.19 inference(rewrite,[status(thm)],[])).
% 9.60/7.19 tff(32389,plain,
% 9.60/7.19 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB192, constB193)) | (v162(constB193) <=> v160(constB192)))),
% 9.60/7.19 inference(quant_inst,[status(thm)],[])).
% 9.60/7.19 tff(32390,plain,
% 9.60/7.19 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB192, constB193)) | (v162(constB193) <=> v160(constB192))),
% 9.60/7.19 inference(modus_ponens,[status(thm)],[32389, 32388])).
% 9.60/7.19 tff(32391,plain,
% 9.60/7.19 (v162(constB193) <=> v160(constB192)),
% 9.60/7.19 inference(unit_resolution,[status(thm)],[32390, 778, 70])).
% 9.60/7.19 tff(32392,plain,
% 9.60/7.19 ((~![VarCurr: $i] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB192) <=> (v163(constB192) | v164(constB192)))),
% 9.60/7.19 inference(quant_inst,[status(thm)],[])).
% 9.60/7.19 tff(32393,plain,
% 9.60/7.19 (v160(constB192) <=> (v163(constB192) | v164(constB192))),
% 9.60/7.19 inference(unit_resolution,[status(thm)],[32392, 84])).
% 9.60/7.19 tff(32394,plain,
% 9.60/7.19 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB192) <=> (~((~v130(constB192)) | (~v154(constB192)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB192) <=> (~((~v130(constB192)) | (~v154(constB192))))))),
% 9.60/7.19 inference(rewrite,[status(thm)],[])).
% 9.60/7.19 tff(32395,plain,
% 9.60/7.19 ((v164(constB192) <=> (~((~v154(constB192)) | (~v130(constB192))))) <=> (v164(constB192) <=> (~((~v130(constB192)) | (~v154(constB192)))))),
% 9.60/7.19 inference(rewrite,[status(thm)],[])).
% 9.60/7.19 tff(32396,plain,
% 9.60/7.19 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB192) <=> (~((~v154(constB192)) | (~v130(constB192)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB192) <=> (~((~v130(constB192)) | (~v154(constB192))))))),
% 9.60/7.19 inference(monotonicity,[status(thm)],[32395])).
% 9.60/7.19 tff(32397,plain,
% 9.60/7.19 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB192) <=> (~((~v154(constB192)) | (~v130(constB192)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB192) <=> (~((~v130(constB192)) | (~v154(constB192))))))),
% 9.60/7.19 inference(transitivity,[status(thm)],[32396, 32394])).
% 9.60/7.19 tff(32398,plain,
% 9.60/7.19 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB192) <=> (~((~v154(constB192)) | (~v130(constB192)))))),
% 9.60/7.19 inference(quant_inst,[status(thm)],[])).
% 9.60/7.19 tff(32399,plain,
% 9.60/7.19 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB192) <=> (~((~v130(constB192)) | (~v154(constB192)))))),
% 9.60/7.19 inference(modus_ponens,[status(thm)],[32398, 32397])).
% 9.60/7.19 tff(32400,plain,
% 9.60/7.19 (v164(constB192) <=> (~((~v130(constB192)) | (~v154(constB192))))),
% 9.60/7.19 inference(unit_resolution,[status(thm)],[32399, 96])).
% 9.60/7.19 tff(32401,plain,
% 9.60/7.19 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB192) <=> (~((~v141(constB192)) | (~v143(constB192)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB192) <=> (~((~v141(constB192)) | (~v143(constB192))))))),
% 9.60/7.19 inference(rewrite,[status(thm)],[])).
% 9.60/7.19 tff(32402,plain,
% 9.60/7.19 ((v154(constB192) <=> (~((~v143(constB192)) | (~v141(constB192))))) <=> (v154(constB192) <=> (~((~v141(constB192)) | (~v143(constB192)))))),
% 9.60/7.19 inference(rewrite,[status(thm)],[])).
% 9.60/7.19 tff(32403,plain,
% 9.60/7.19 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB192) <=> (~((~v143(constB192)) | (~v141(constB192)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB192) <=> (~((~v141(constB192)) | (~v143(constB192))))))),
% 9.60/7.19 inference(monotonicity,[status(thm)],[32402])).
% 9.60/7.19 tff(32404,plain,
% 9.60/7.19 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB192) <=> (~((~v143(constB192)) | (~v141(constB192)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB192) <=> (~((~v141(constB192)) | (~v143(constB192))))))),
% 9.60/7.19 inference(transitivity,[status(thm)],[32403, 32401])).
% 9.60/7.19 tff(32405,plain,
% 9.60/7.19 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB192) <=> (~((~v143(constB192)) | (~v141(constB192)))))),
% 9.60/7.19 inference(quant_inst,[status(thm)],[])).
% 9.60/7.19 tff(32406,plain,
% 9.60/7.19 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB192) <=> (~((~v141(constB192)) | (~v143(constB192)))))),
% 9.60/7.19 inference(modus_ponens,[status(thm)],[32405, 32404])).
% 9.60/7.19 tff(32407,plain,
% 9.60/7.19 (v154(constB192) <=> (~((~v141(constB192)) | (~v143(constB192))))),
% 9.60/7.19 inference(unit_resolution,[status(thm)],[32406, 113])).
% 9.60/7.19 tff(32408,plain,
% 9.60/7.19 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB192) <=> (~((~v39(constB192)) | (~v9(constB192)))))),
% 9.60/7.19 inference(quant_inst,[status(thm)],[])).
% 9.60/7.19 tff(32409,plain,
% 9.60/7.19 (v141(constB192) <=> (~((~v39(constB192)) | (~v9(constB192))))),
% 9.60/7.19 inference(unit_resolution,[status(thm)],[32408, 130])).
% 9.60/7.19 tff(32410,plain,
% 9.60/7.19 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB192)) <=> v1(constB192))),
% 9.60/7.19 inference(quant_inst,[status(thm)],[])).
% 9.60/7.19 tff(32411,plain,
% 9.60/7.19 ((~v39(constB192)) <=> v1(constB192)),
% 9.60/7.19 inference(unit_resolution,[status(thm)],[32410, 139])).
% 9.60/7.19 tff(32412,plain,
% 9.60/7.19 ((~((~v39(constB192)) <=> v1(constB192))) | (~v39(constB192)) | (~v1(constB192))),
% 9.60/7.19 inference(tautology,[status(thm)],[])).
% 9.60/7.19 tff(32413,plain,
% 9.60/7.19 ((~((~v39(constB192)) <=> v1(constB192))) | (~v39(constB192))),
% 9.60/7.19 inference(unit_resolution,[status(thm)],[32412, 889])).
% 9.60/7.19 tff(32414,plain,
% 9.60/7.19 (~v39(constB192)),
% 9.60/7.19 inference(unit_resolution,[status(thm)],[32413, 32411])).
% 9.60/7.19 tff(32415,plain,
% 9.60/7.19 (((~v39(constB192)) | (~v9(constB192))) | v39(constB192)),
% 9.60/7.19 inference(tautology,[status(thm)],[])).
% 9.60/7.19 tff(32416,plain,
% 9.60/7.19 ((~v39(constB192)) | (~v9(constB192))),
% 9.60/7.19 inference(unit_resolution,[status(thm)],[32415, 32414])).
% 9.60/7.19 tff(32417,plain,
% 9.60/7.19 ((~(v141(constB192) <=> (~((~v39(constB192)) | (~v9(constB192)))))) | (~v141(constB192)) | (~((~v39(constB192)) | (~v9(constB192))))),
% 9.60/7.19 inference(tautology,[status(thm)],[])).
% 9.60/7.19 tff(32418,plain,
% 9.60/7.19 ((~(v141(constB192) <=> (~((~v39(constB192)) | (~v9(constB192)))))) | (~v141(constB192))),
% 9.60/7.19 inference(unit_resolution,[status(thm)],[32417, 32416])).
% 9.60/7.19 tff(32419,plain,
% 9.60/7.19 (~v141(constB192)),
% 9.60/7.19 inference(unit_resolution,[status(thm)],[32418, 32409])).
% 9.60/7.19 tff(32420,plain,
% 9.60/7.19 (((~v141(constB192)) | (~v143(constB192))) | v141(constB192)),
% 9.60/7.19 inference(tautology,[status(thm)],[])).
% 9.60/7.19 tff(32421,plain,
% 9.60/7.19 ((~v141(constB192)) | (~v143(constB192))),
% 9.60/7.19 inference(unit_resolution,[status(thm)],[32420, 32419])).
% 9.60/7.19 tff(32422,plain,
% 9.60/7.19 ((~(v154(constB192) <=> (~((~v141(constB192)) | (~v143(constB192)))))) | (~v154(constB192)) | (~((~v141(constB192)) | (~v143(constB192))))),
% 9.60/7.19 inference(tautology,[status(thm)],[])).
% 9.60/7.19 tff(32423,plain,
% 9.60/7.19 ((~(v154(constB192) <=> (~((~v141(constB192)) | (~v143(constB192)))))) | (~v154(constB192))),
% 9.60/7.19 inference(unit_resolution,[status(thm)],[32422, 32421])).
% 9.60/7.19 tff(32424,plain,
% 9.60/7.19 (~v154(constB192)),
% 9.60/7.19 inference(unit_resolution,[status(thm)],[32423, 32407])).
% 9.60/7.19 tff(32425,plain,
% 9.60/7.19 (((~v130(constB192)) | (~v154(constB192))) | v154(constB192)),
% 9.60/7.19 inference(tautology,[status(thm)],[])).
% 9.60/7.19 tff(32426,plain,
% 9.60/7.19 ((~v130(constB192)) | (~v154(constB192))),
% 9.60/7.19 inference(unit_resolution,[status(thm)],[32425, 32424])).
% 9.60/7.19 tff(32427,plain,
% 9.60/7.19 ((~(v164(constB192) <=> (~((~v130(constB192)) | (~v154(constB192)))))) | (~v164(constB192)) | (~((~v130(constB192)) | (~v154(constB192))))),
% 9.60/7.19 inference(tautology,[status(thm)],[])).
% 9.60/7.19 tff(32428,plain,
% 9.60/7.19 (~v164(constB192)),
% 9.60/7.19 inference(unit_resolution,[status(thm)],[32427, 32426, 32400])).
% 9.60/7.19 tff(32429,plain,
% 9.60/7.19 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB192) <=> (~((~v128(constB192)) | (~v139(constB192)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB192) <=> (~((~v128(constB192)) | (~v139(constB192))))))),
% 9.60/7.19 inference(rewrite,[status(thm)],[])).
% 9.60/7.19 tff(32430,plain,
% 9.60/7.19 ((v163(constB192) <=> (~((~v139(constB192)) | (~v128(constB192))))) <=> (v163(constB192) <=> (~((~v128(constB192)) | (~v139(constB192)))))),
% 9.60/7.19 inference(rewrite,[status(thm)],[])).
% 9.60/7.19 tff(32431,plain,
% 9.60/7.19 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB192) <=> (~((~v139(constB192)) | (~v128(constB192)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB192) <=> (~((~v128(constB192)) | (~v139(constB192))))))),
% 9.60/7.19 inference(monotonicity,[status(thm)],[32430])).
% 9.60/7.19 tff(32432,plain,
% 9.60/7.19 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB192) <=> (~((~v139(constB192)) | (~v128(constB192)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB192) <=> (~((~v128(constB192)) | (~v139(constB192))))))),
% 9.60/7.19 inference(transitivity,[status(thm)],[32431, 32429])).
% 9.60/7.19 tff(32433,plain,
% 9.60/7.19 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB192) <=> (~((~v139(constB192)) | (~v128(constB192)))))),
% 9.60/7.19 inference(quant_inst,[status(thm)],[])).
% 9.60/7.19 tff(32434,plain,
% 9.60/7.19 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB192) <=> (~((~v128(constB192)) | (~v139(constB192)))))),
% 9.60/7.19 inference(modus_ponens,[status(thm)],[32433, 32432])).
% 9.60/7.19 tff(32435,plain,
% 9.60/7.19 (v163(constB192) <=> (~((~v128(constB192)) | (~v139(constB192))))),
% 9.60/7.19 inference(unit_resolution,[status(thm)],[32434, 171])).
% 9.60/7.19 tff(32436,plain,
% 9.60/7.19 ((~![VarNext: $i] : (v128(VarNext) <=> v162(VarNext))) | (v128(constB192) <=> v162(constB192))),
% 9.60/7.19 inference(quant_inst,[status(thm)],[])).
% 9.60/7.19 tff(32437,plain,
% 9.60/7.19 (v128(constB192) <=> v162(constB192)),
% 9.60/7.19 inference(unit_resolution,[status(thm)],[32436, 13])).
% 9.60/7.19 tff(32438,plain,
% 9.60/7.19 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB191, constB192)) | (v162(constB192) <=> v160(constB191)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB191, constB192)) | (v162(constB192) <=> v160(constB191)))),
% 9.60/7.19 inference(rewrite,[status(thm)],[])).
% 9.60/7.19 tff(32439,plain,
% 9.60/7.19 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB191, constB192)) | (v162(constB192) <=> v160(constB191)))),
% 9.60/7.19 inference(quant_inst,[status(thm)],[])).
% 9.60/7.19 tff(32440,plain,
% 9.60/7.19 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB191, constB192)) | (v162(constB192) <=> v160(constB191))),
% 9.60/7.19 inference(modus_ponens,[status(thm)],[32439, 32438])).
% 9.60/7.19 tff(32441,plain,
% 9.60/7.19 (v162(constB192) <=> v160(constB191)),
% 9.60/7.19 inference(unit_resolution,[status(thm)],[32440, 839, 70])).
% 9.60/7.19 tff(32442,plain,
% 9.60/7.19 ((~![VarCurr: $i] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB191) <=> (v163(constB191) | v164(constB191)))),
% 9.60/7.19 inference(quant_inst,[status(thm)],[])).
% 9.60/7.19 tff(32443,plain,
% 9.60/7.19 (v160(constB191) <=> (v163(constB191) | v164(constB191))),
% 9.60/7.19 inference(unit_resolution,[status(thm)],[32442, 84])).
% 9.60/7.19 tff(32444,plain,
% 9.60/7.19 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB191) <=> (~((~v128(constB191)) | (~v139(constB191)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB191) <=> (~((~v128(constB191)) | (~v139(constB191))))))),
% 9.60/7.19 inference(rewrite,[status(thm)],[])).
% 9.60/7.19 tff(32445,plain,
% 9.60/7.19 ((v163(constB191) <=> (~((~v139(constB191)) | (~v128(constB191))))) <=> (v163(constB191) <=> (~((~v128(constB191)) | (~v139(constB191)))))),
% 9.60/7.19 inference(rewrite,[status(thm)],[])).
% 9.60/7.19 tff(32446,plain,
% 9.60/7.19 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB191) <=> (~((~v139(constB191)) | (~v128(constB191)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB191) <=> (~((~v128(constB191)) | (~v139(constB191))))))),
% 9.60/7.19 inference(monotonicity,[status(thm)],[32445])).
% 9.60/7.19 tff(32447,plain,
% 9.60/7.19 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB191) <=> (~((~v139(constB191)) | (~v128(constB191)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB191) <=> (~((~v128(constB191)) | (~v139(constB191))))))),
% 9.60/7.19 inference(transitivity,[status(thm)],[32446, 32444])).
% 9.60/7.19 tff(32448,plain,
% 9.60/7.19 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB191) <=> (~((~v139(constB191)) | (~v128(constB191)))))),
% 9.60/7.19 inference(quant_inst,[status(thm)],[])).
% 9.60/7.19 tff(32449,plain,
% 9.60/7.19 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB191) <=> (~((~v128(constB191)) | (~v139(constB191)))))),
% 9.60/7.19 inference(modus_ponens,[status(thm)],[32448, 32447])).
% 9.60/7.19 tff(32450,plain,
% 9.60/7.19 (v163(constB191) <=> (~((~v128(constB191)) | (~v139(constB191))))),
% 9.60/7.19 inference(unit_resolution,[status(thm)],[32449, 171])).
% 9.60/7.19 tff(32451,plain,
% 9.60/7.19 ((~![VarCurr: $i] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB191)) <=> v140(constB191))),
% 9.60/7.19 inference(quant_inst,[status(thm)],[])).
% 9.60/7.19 tff(32452,plain,
% 9.60/7.19 ((~v139(constB191)) <=> v140(constB191)),
% 9.60/7.19 inference(unit_resolution,[status(thm)],[32451, 203])).
% 9.60/7.19 tff(32453,plain,
% 9.60/7.19 ((~![VarCurr: $i] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB191) <=> (v141(constB191) | v26(constB191)))),
% 9.60/7.19 inference(quant_inst,[status(thm)],[])).
% 9.60/7.19 tff(32454,plain,
% 9.60/7.19 (v140(constB191) <=> (v141(constB191) | v26(constB191))),
% 9.60/7.19 inference(unit_resolution,[status(thm)],[32453, 212])).
% 9.60/7.19 tff(32455,plain,
% 9.60/7.19 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB191) <=> (~((~v39(constB191)) | (~v9(constB191)))))),
% 9.60/7.19 inference(quant_inst,[status(thm)],[])).
% 9.60/7.19 tff(32456,plain,
% 9.60/7.19 (v141(constB191) <=> (~((~v39(constB191)) | (~v9(constB191))))),
% 9.60/7.19 inference(unit_resolution,[status(thm)],[32455, 130])).
% 9.60/7.19 tff(32457,plain,
% 9.60/7.19 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB191, constB192)) | (v13(constB192) <=> v9(constB191)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB191, constB192)) | (v13(constB192) <=> v9(constB191)))),
% 9.60/7.19 inference(rewrite,[status(thm)],[])).
% 9.60/7.19 tff(32458,plain,
% 9.60/7.19 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB191, constB192)) | (v13(constB192) <=> v9(constB191)))),
% 9.60/7.19 inference(quant_inst,[status(thm)],[])).
% 9.60/7.19 tff(32459,plain,
% 9.60/7.19 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB191, constB192)) | (v13(constB192) <=> v9(constB191))),
% 9.60/7.19 inference(modus_ponens,[status(thm)],[32458, 32457])).
% 9.60/7.19 tff(32460,plain,
% 9.60/7.19 (v13(constB192) <=> v9(constB191)),
% 9.60/7.19 inference(unit_resolution,[status(thm)],[32459, 839, 226])).
% 9.60/7.19 tff(32461,plain,
% 9.60/7.19 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB192) <=> v13(constB192))),
% 9.60/7.19 inference(quant_inst,[status(thm)],[])).
% 9.60/7.19 tff(32462,plain,
% 9.60/7.19 (v6(constB192) <=> v13(constB192)),
% 9.60/7.19 inference(unit_resolution,[status(thm)],[32461, 240])).
% 9.60/7.19 tff(32463,plain,
% 9.60/7.19 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB192)) <=> v6(constB192))),
% 9.60/7.19 inference(quant_inst,[status(thm)],[])).
% 9.60/7.19 tff(32464,plain,
% 9.60/7.19 ((~v21(constB192)) <=> v6(constB192)),
% 9.60/7.19 inference(unit_resolution,[status(thm)],[32463, 249])).
% 9.60/7.19 tff(32465,plain,
% 9.60/7.19 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB192) <=> (v20(constB192) | v21(constB192)))),
% 9.60/7.19 inference(quant_inst,[status(thm)],[])).
% 9.60/7.19 tff(32466,plain,
% 9.60/7.19 (v19(constB192) <=> (v20(constB192) | v21(constB192))),
% 9.60/7.19 inference(unit_resolution,[status(thm)],[32465, 258])).
% 9.60/7.19 tff(32467,plain,
% 9.60/7.19 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB192) <=> (~((~v19(constB192)) | (~v22(constB192)))))),
% 9.60/7.19 inference(quant_inst,[status(thm)],[])).
% 9.60/7.19 tff(32468,plain,
% 9.60/7.19 (v18(constB192) <=> (~((~v19(constB192)) | (~v22(constB192))))),
% 9.60/7.19 inference(unit_resolution,[status(thm)],[32467, 270])).
% 9.60/7.19 tff(32469,plain,
% 9.60/7.19 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB192)) <=> v18(constB192))),
% 9.60/7.19 inference(quant_inst,[status(thm)],[])).
% 9.60/7.19 tff(32470,plain,
% 9.60/7.19 ((~v4(constB192)) <=> v18(constB192)),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32469, 279])).
% 9.60/7.20 tff(32471,plain,
% 9.60/7.20 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB192)),
% 9.60/7.20 inference(quant_inst,[status(thm)],[])).
% 9.60/7.20 tff(32472,plain,
% 9.60/7.20 (v4(constB192)),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32471, 288])).
% 9.60/7.20 tff(32473,plain,
% 9.60/7.20 ((~((~v4(constB192)) <=> v18(constB192))) | (~v4(constB192)) | (~v18(constB192))),
% 9.60/7.20 inference(tautology,[status(thm)],[])).
% 9.60/7.20 tff(32474,plain,
% 9.60/7.20 (~v18(constB192)),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32473, 32472, 32470])).
% 9.60/7.20 tff(32475,plain,
% 9.60/7.20 ((~(v18(constB192) <=> (~((~v19(constB192)) | (~v22(constB192)))))) | v18(constB192) | ((~v19(constB192)) | (~v22(constB192)))),
% 9.60/7.20 inference(tautology,[status(thm)],[])).
% 9.60/7.20 tff(32476,plain,
% 9.60/7.20 ((~v19(constB192)) | (~v22(constB192))),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32475, 32474, 32468])).
% 9.60/7.20 tff(32477,plain,
% 9.60/7.20 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB192) <=> (v1(constB192) | v6(constB192)))),
% 9.60/7.20 inference(quant_inst,[status(thm)],[])).
% 9.60/7.20 tff(32478,plain,
% 9.60/7.20 (v22(constB192) <=> (v1(constB192) | v6(constB192))),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32477, 301])).
% 9.60/7.20 tff(32479,plain,
% 9.60/7.20 ((v1(constB192) | v6(constB192)) | (~v1(constB192))),
% 9.60/7.20 inference(tautology,[status(thm)],[])).
% 9.60/7.20 tff(32480,plain,
% 9.60/7.20 (v1(constB192) | v6(constB192)),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32479, 889])).
% 9.60/7.20 tff(32481,plain,
% 9.60/7.20 ((~(v22(constB192) <=> (v1(constB192) | v6(constB192)))) | v22(constB192) | (~(v1(constB192) | v6(constB192)))),
% 9.60/7.20 inference(tautology,[status(thm)],[])).
% 9.60/7.20 tff(32482,plain,
% 9.60/7.20 ((~(v22(constB192) <=> (v1(constB192) | v6(constB192)))) | v22(constB192)),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32481, 32480])).
% 9.60/7.20 tff(32483,plain,
% 9.60/7.20 (v22(constB192)),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32482, 32478])).
% 9.60/7.20 tff(32484,plain,
% 9.60/7.20 ((~((~v19(constB192)) | (~v22(constB192)))) | (~v19(constB192)) | (~v22(constB192))),
% 9.60/7.20 inference(tautology,[status(thm)],[])).
% 9.60/7.20 tff(32485,plain,
% 9.60/7.20 ((~((~v19(constB192)) | (~v22(constB192)))) | (~v19(constB192))),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32484, 32483])).
% 9.60/7.20 tff(32486,plain,
% 9.60/7.20 (~v19(constB192)),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32485, 32476])).
% 9.60/7.20 tff(32487,plain,
% 9.60/7.20 ((~(v19(constB192) <=> (v20(constB192) | v21(constB192)))) | v19(constB192) | (~(v20(constB192) | v21(constB192)))),
% 9.60/7.20 inference(tautology,[status(thm)],[])).
% 9.60/7.20 tff(32488,plain,
% 9.60/7.20 (~(v20(constB192) | v21(constB192))),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32487, 32486, 32466])).
% 9.60/7.20 tff(32489,plain,
% 9.60/7.20 ((v20(constB192) | v21(constB192)) | (~v21(constB192))),
% 9.60/7.20 inference(tautology,[status(thm)],[])).
% 9.60/7.20 tff(32490,plain,
% 9.60/7.20 (~v21(constB192)),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32489, 32488])).
% 9.60/7.20 tff(32491,plain,
% 9.60/7.20 ((~((~v21(constB192)) <=> v6(constB192))) | v21(constB192) | v6(constB192)),
% 9.60/7.20 inference(tautology,[status(thm)],[])).
% 9.60/7.20 tff(32492,plain,
% 9.60/7.20 (v6(constB192)),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32491, 32490, 32464])).
% 9.60/7.20 tff(32493,plain,
% 9.60/7.20 ((~(v6(constB192) <=> v13(constB192))) | (~v6(constB192)) | v13(constB192)),
% 9.60/7.20 inference(tautology,[status(thm)],[])).
% 9.60/7.20 tff(32494,plain,
% 9.60/7.20 (v13(constB192)),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32493, 32492, 32462])).
% 9.60/7.20 tff(32495,plain,
% 9.60/7.20 ((~(v13(constB192) <=> v9(constB191))) | (~v13(constB192)) | v9(constB191)),
% 9.60/7.20 inference(tautology,[status(thm)],[])).
% 9.60/7.20 tff(32496,plain,
% 9.60/7.20 (v9(constB191)),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32495, 32494, 32460])).
% 9.60/7.20 tff(32497,plain,
% 9.60/7.20 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB191)) <=> v1(constB191))),
% 9.60/7.20 inference(quant_inst,[status(thm)],[])).
% 9.60/7.20 tff(32498,plain,
% 9.60/7.20 ((~v39(constB191)) <=> v1(constB191)),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32497, 139])).
% 9.60/7.20 tff(32499,plain,
% 9.60/7.20 ((~((~v39(constB191)) <=> v1(constB191))) | v39(constB191) | v1(constB191)),
% 9.60/7.20 inference(tautology,[status(thm)],[])).
% 9.60/7.20 tff(32500,plain,
% 9.60/7.20 ((~((~v39(constB191)) <=> v1(constB191))) | v39(constB191)),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32499, 881])).
% 9.60/7.20 tff(32501,plain,
% 9.60/7.20 (v39(constB191)),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32500, 32498])).
% 9.60/7.20 tff(32502,plain,
% 9.60/7.20 ((~((~v39(constB191)) | (~v9(constB191)))) | (~v39(constB191)) | (~v9(constB191))),
% 9.60/7.20 inference(tautology,[status(thm)],[])).
% 9.60/7.20 tff(32503,plain,
% 9.60/7.20 ((~((~v39(constB191)) | (~v9(constB191)))) | (~v9(constB191))),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32502, 32501])).
% 9.60/7.20 tff(32504,plain,
% 9.60/7.20 (~((~v39(constB191)) | (~v9(constB191)))),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32503, 32496])).
% 9.60/7.20 tff(32505,plain,
% 9.60/7.20 ((~(v141(constB191) <=> (~((~v39(constB191)) | (~v9(constB191)))))) | v141(constB191) | ((~v39(constB191)) | (~v9(constB191)))),
% 9.60/7.20 inference(tautology,[status(thm)],[])).
% 9.60/7.20 tff(32506,plain,
% 9.60/7.20 (v141(constB191)),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32505, 32504, 32456])).
% 9.60/7.20 tff(32507,plain,
% 9.60/7.20 ((v141(constB191) | v26(constB191)) | (~v141(constB191))),
% 9.60/7.20 inference(tautology,[status(thm)],[])).
% 9.60/7.20 tff(32508,plain,
% 9.60/7.20 (v141(constB191) | v26(constB191)),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32507, 32506])).
% 9.60/7.20 tff(32509,plain,
% 9.60/7.20 ((~(v140(constB191) <=> (v141(constB191) | v26(constB191)))) | v140(constB191) | (~(v141(constB191) | v26(constB191)))),
% 9.60/7.20 inference(tautology,[status(thm)],[])).
% 9.60/7.20 tff(32510,plain,
% 9.60/7.20 (v140(constB191)),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32509, 32508, 32454])).
% 9.60/7.20 tff(32511,plain,
% 9.60/7.20 ((~((~v139(constB191)) <=> v140(constB191))) | (~v139(constB191)) | (~v140(constB191))),
% 9.60/7.20 inference(tautology,[status(thm)],[])).
% 9.60/7.20 tff(32512,plain,
% 9.60/7.20 (~v139(constB191)),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32511, 32510, 32452])).
% 9.60/7.20 tff(32513,plain,
% 9.60/7.20 (((~v128(constB191)) | (~v139(constB191))) | v139(constB191)),
% 9.60/7.20 inference(tautology,[status(thm)],[])).
% 9.60/7.20 tff(32514,plain,
% 9.60/7.20 ((~v128(constB191)) | (~v139(constB191))),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32513, 32512])).
% 9.60/7.20 tff(32515,plain,
% 9.60/7.20 ((~(v163(constB191) <=> (~((~v128(constB191)) | (~v139(constB191)))))) | (~v163(constB191)) | (~((~v128(constB191)) | (~v139(constB191))))),
% 9.60/7.20 inference(tautology,[status(thm)],[])).
% 9.60/7.20 tff(32516,plain,
% 9.60/7.20 (~v163(constB191)),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32515, 32514, 32450])).
% 9.60/7.20 tff(32517,plain,
% 9.60/7.20 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB191) <=> (~((~v130(constB191)) | (~v154(constB191)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB191) <=> (~((~v130(constB191)) | (~v154(constB191))))))),
% 9.60/7.20 inference(rewrite,[status(thm)],[])).
% 9.60/7.20 tff(32518,plain,
% 9.60/7.20 ((v164(constB191) <=> (~((~v154(constB191)) | (~v130(constB191))))) <=> (v164(constB191) <=> (~((~v130(constB191)) | (~v154(constB191)))))),
% 9.60/7.20 inference(rewrite,[status(thm)],[])).
% 9.60/7.20 tff(32519,plain,
% 9.60/7.20 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB191) <=> (~((~v154(constB191)) | (~v130(constB191)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB191) <=> (~((~v130(constB191)) | (~v154(constB191))))))),
% 9.60/7.20 inference(monotonicity,[status(thm)],[32518])).
% 9.60/7.20 tff(32520,plain,
% 9.60/7.20 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB191) <=> (~((~v154(constB191)) | (~v130(constB191)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB191) <=> (~((~v130(constB191)) | (~v154(constB191))))))),
% 9.60/7.20 inference(transitivity,[status(thm)],[32519, 32517])).
% 9.60/7.20 tff(32521,plain,
% 9.60/7.20 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB191) <=> (~((~v154(constB191)) | (~v130(constB191)))))),
% 9.60/7.20 inference(quant_inst,[status(thm)],[])).
% 9.60/7.20 tff(32522,plain,
% 9.60/7.20 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB191) <=> (~((~v130(constB191)) | (~v154(constB191)))))),
% 9.60/7.20 inference(modus_ponens,[status(thm)],[32521, 32520])).
% 9.60/7.20 tff(32523,plain,
% 9.60/7.20 (v164(constB191) <=> (~((~v130(constB191)) | (~v154(constB191))))),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32522, 96])).
% 9.60/7.20 tff(32524,plain,
% 9.60/7.20 ((~![VarNext: $i] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB191) <=> v152(constB191))),
% 9.60/7.20 inference(quant_inst,[status(thm)],[])).
% 9.60/7.20 tff(32525,plain,
% 9.60/7.20 (v130(constB191) <=> v152(constB191)),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32524, 361])).
% 9.60/7.20 tff(32526,plain,
% 9.60/7.20 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB190, constB191)) | (v152(constB191) <=> v150(constB190)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB190, constB191)) | (v152(constB191) <=> v150(constB190)))),
% 9.60/7.20 inference(rewrite,[status(thm)],[])).
% 9.60/7.20 tff(32527,plain,
% 9.60/7.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB190, constB191)) | (v152(constB191) <=> v150(constB190)))),
% 9.60/7.20 inference(quant_inst,[status(thm)],[])).
% 9.60/7.20 tff(32528,plain,
% 9.60/7.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB190, constB191)) | (v152(constB191) <=> v150(constB190))),
% 9.60/7.20 inference(modus_ponens,[status(thm)],[32527, 32526])).
% 9.60/7.20 tff(32529,plain,
% 9.60/7.20 (v152(constB191) <=> v150(constB190)),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32528, 970, 373])).
% 9.60/7.20 tff(32530,plain,
% 9.60/7.20 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v153(VarCurr) | v155(VarCurr)))) | (v150(constB190) <=> (v153(constB190) | v155(constB190)))),
% 9.60/7.20 inference(quant_inst,[status(thm)],[])).
% 9.60/7.20 tff(32531,plain,
% 9.60/7.20 (v150(constB190) <=> (v153(constB190) | v155(constB190))),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32530, 387])).
% 9.60/7.20 tff(32532,plain,
% 9.60/7.20 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB190) <=> (~((~v132(constB190)) | (~v154(constB190)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB190) <=> (~((~v132(constB190)) | (~v154(constB190))))))),
% 9.60/7.20 inference(rewrite,[status(thm)],[])).
% 9.60/7.20 tff(32533,plain,
% 9.60/7.20 ((v153(constB190) <=> (~((~v154(constB190)) | (~v132(constB190))))) <=> (v153(constB190) <=> (~((~v132(constB190)) | (~v154(constB190)))))),
% 9.60/7.20 inference(rewrite,[status(thm)],[])).
% 9.60/7.20 tff(32534,plain,
% 9.60/7.20 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB190) <=> (~((~v154(constB190)) | (~v132(constB190)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB190) <=> (~((~v132(constB190)) | (~v154(constB190))))))),
% 9.60/7.20 inference(monotonicity,[status(thm)],[32533])).
% 9.60/7.20 tff(32535,plain,
% 9.60/7.20 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB190) <=> (~((~v154(constB190)) | (~v132(constB190)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB190) <=> (~((~v132(constB190)) | (~v154(constB190))))))),
% 9.60/7.20 inference(transitivity,[status(thm)],[32534, 32532])).
% 9.60/7.20 tff(32536,plain,
% 9.60/7.20 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB190) <=> (~((~v154(constB190)) | (~v132(constB190)))))),
% 9.60/7.20 inference(quant_inst,[status(thm)],[])).
% 9.60/7.20 tff(32537,plain,
% 9.60/7.20 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB190) <=> (~((~v132(constB190)) | (~v154(constB190)))))),
% 9.60/7.20 inference(modus_ponens,[status(thm)],[32536, 32535])).
% 9.60/7.20 tff(32538,plain,
% 9.60/7.20 (v153(constB190) <=> (~((~v132(constB190)) | (~v154(constB190))))),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32537, 399])).
% 9.60/7.20 tff(32539,plain,
% 9.60/7.20 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB190) <=> (~((~v141(constB190)) | (~v143(constB190)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB190) <=> (~((~v141(constB190)) | (~v143(constB190))))))),
% 9.60/7.20 inference(rewrite,[status(thm)],[])).
% 9.60/7.20 tff(32540,plain,
% 9.60/7.20 ((v154(constB190) <=> (~((~v143(constB190)) | (~v141(constB190))))) <=> (v154(constB190) <=> (~((~v141(constB190)) | (~v143(constB190)))))),
% 9.60/7.20 inference(rewrite,[status(thm)],[])).
% 9.60/7.20 tff(32541,plain,
% 9.60/7.20 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB190) <=> (~((~v143(constB190)) | (~v141(constB190)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB190) <=> (~((~v141(constB190)) | (~v143(constB190))))))),
% 9.60/7.20 inference(monotonicity,[status(thm)],[32540])).
% 9.60/7.20 tff(32542,plain,
% 9.60/7.20 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB190) <=> (~((~v143(constB190)) | (~v141(constB190)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB190) <=> (~((~v141(constB190)) | (~v143(constB190))))))),
% 9.60/7.20 inference(transitivity,[status(thm)],[32541, 32539])).
% 9.60/7.20 tff(32543,plain,
% 9.60/7.20 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB190) <=> (~((~v143(constB190)) | (~v141(constB190)))))),
% 9.60/7.20 inference(quant_inst,[status(thm)],[])).
% 9.60/7.20 tff(32544,plain,
% 9.60/7.20 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB190) <=> (~((~v141(constB190)) | (~v143(constB190)))))),
% 9.60/7.20 inference(modus_ponens,[status(thm)],[32543, 32542])).
% 9.60/7.20 tff(32545,plain,
% 9.60/7.20 (v154(constB190) <=> (~((~v141(constB190)) | (~v143(constB190))))),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32544, 113])).
% 9.60/7.20 tff(32546,plain,
% 9.60/7.20 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB190) <=> (~((~v39(constB190)) | (~v9(constB190)))))),
% 9.60/7.20 inference(quant_inst,[status(thm)],[])).
% 9.60/7.20 tff(32547,plain,
% 9.60/7.20 (v141(constB190) <=> (~((~v39(constB190)) | (~v9(constB190))))),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32546, 130])).
% 9.60/7.20 tff(32548,plain,
% 9.60/7.20 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB190)) <=> v1(constB190))),
% 9.60/7.20 inference(quant_inst,[status(thm)],[])).
% 9.60/7.20 tff(32549,plain,
% 9.60/7.20 ((~v39(constB190)) <=> v1(constB190)),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32548, 139])).
% 9.60/7.20 tff(32550,plain,
% 9.60/7.20 ((~((~v39(constB190)) <=> v1(constB190))) | (~v39(constB190)) | (~v1(constB190))),
% 9.60/7.20 inference(tautology,[status(thm)],[])).
% 9.60/7.20 tff(32551,plain,
% 9.60/7.20 ((~((~v39(constB190)) <=> v1(constB190))) | (~v39(constB190))),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32550, 1032])).
% 9.60/7.20 tff(32552,plain,
% 9.60/7.20 (~v39(constB190)),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32551, 32549])).
% 9.60/7.20 tff(32553,plain,
% 9.60/7.20 (((~v39(constB190)) | (~v9(constB190))) | v39(constB190)),
% 9.60/7.20 inference(tautology,[status(thm)],[])).
% 9.60/7.20 tff(32554,plain,
% 9.60/7.20 ((~v39(constB190)) | (~v9(constB190))),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32553, 32552])).
% 9.60/7.20 tff(32555,plain,
% 9.60/7.20 ((~(v141(constB190) <=> (~((~v39(constB190)) | (~v9(constB190)))))) | (~v141(constB190)) | (~((~v39(constB190)) | (~v9(constB190))))),
% 9.60/7.20 inference(tautology,[status(thm)],[])).
% 9.60/7.20 tff(32556,plain,
% 9.60/7.20 ((~(v141(constB190) <=> (~((~v39(constB190)) | (~v9(constB190)))))) | (~v141(constB190))),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32555, 32554])).
% 9.60/7.20 tff(32557,plain,
% 9.60/7.20 (~v141(constB190)),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32556, 32547])).
% 9.60/7.20 tff(32558,plain,
% 9.60/7.20 (((~v141(constB190)) | (~v143(constB190))) | v141(constB190)),
% 9.60/7.20 inference(tautology,[status(thm)],[])).
% 9.60/7.20 tff(32559,plain,
% 9.60/7.20 ((~v141(constB190)) | (~v143(constB190))),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32558, 32557])).
% 9.60/7.20 tff(32560,plain,
% 9.60/7.20 ((~(v154(constB190) <=> (~((~v141(constB190)) | (~v143(constB190)))))) | (~v154(constB190)) | (~((~v141(constB190)) | (~v143(constB190))))),
% 9.60/7.20 inference(tautology,[status(thm)],[])).
% 9.60/7.20 tff(32561,plain,
% 9.60/7.20 ((~(v154(constB190) <=> (~((~v141(constB190)) | (~v143(constB190)))))) | (~v154(constB190))),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32560, 32559])).
% 9.60/7.20 tff(32562,plain,
% 9.60/7.20 (~v154(constB190)),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32561, 32545])).
% 9.60/7.20 tff(32563,plain,
% 9.60/7.20 (((~v132(constB190)) | (~v154(constB190))) | v154(constB190)),
% 9.60/7.20 inference(tautology,[status(thm)],[])).
% 9.60/7.20 tff(32564,plain,
% 9.60/7.20 ((~v132(constB190)) | (~v154(constB190))),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32563, 32562])).
% 9.60/7.20 tff(32565,plain,
% 9.60/7.20 ((~(v153(constB190) <=> (~((~v132(constB190)) | (~v154(constB190)))))) | (~v153(constB190)) | (~((~v132(constB190)) | (~v154(constB190))))),
% 9.60/7.20 inference(tautology,[status(thm)],[])).
% 9.60/7.20 tff(32566,plain,
% 9.60/7.20 (~v153(constB190)),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32565, 32564, 32538])).
% 9.60/7.20 tff(32567,plain,
% 9.60/7.20 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB190) <=> (~((~v130(constB190)) | (~v139(constB190)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB190) <=> (~((~v130(constB190)) | (~v139(constB190))))))),
% 9.60/7.20 inference(rewrite,[status(thm)],[])).
% 9.60/7.20 tff(32568,plain,
% 9.60/7.20 ((v155(constB190) <=> (~((~v139(constB190)) | (~v130(constB190))))) <=> (v155(constB190) <=> (~((~v130(constB190)) | (~v139(constB190)))))),
% 9.60/7.20 inference(rewrite,[status(thm)],[])).
% 9.60/7.20 tff(32569,plain,
% 9.60/7.20 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB190) <=> (~((~v139(constB190)) | (~v130(constB190)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB190) <=> (~((~v130(constB190)) | (~v139(constB190))))))),
% 9.60/7.20 inference(monotonicity,[status(thm)],[32568])).
% 9.60/7.20 tff(32570,plain,
% 9.60/7.20 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB190) <=> (~((~v139(constB190)) | (~v130(constB190)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB190) <=> (~((~v130(constB190)) | (~v139(constB190))))))),
% 9.60/7.20 inference(transitivity,[status(thm)],[32569, 32567])).
% 9.60/7.20 tff(32571,plain,
% 9.60/7.20 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB190) <=> (~((~v139(constB190)) | (~v130(constB190)))))),
% 9.60/7.20 inference(quant_inst,[status(thm)],[])).
% 9.60/7.20 tff(32572,plain,
% 9.60/7.20 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB190) <=> (~((~v130(constB190)) | (~v139(constB190)))))),
% 9.60/7.20 inference(modus_ponens,[status(thm)],[32571, 32570])).
% 9.60/7.20 tff(32573,plain,
% 9.60/7.20 (v155(constB190) <=> (~((~v130(constB190)) | (~v139(constB190))))),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32572, 447])).
% 9.60/7.20 tff(32574,plain,
% 9.60/7.20 ((~![VarNext: $i] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB190) <=> v152(constB190))),
% 9.60/7.20 inference(quant_inst,[status(thm)],[])).
% 9.60/7.20 tff(32575,plain,
% 9.60/7.20 (v130(constB190) <=> v152(constB190)),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32574, 361])).
% 9.60/7.20 tff(32576,plain,
% 9.60/7.20 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB189, constB190)) | (v152(constB190) <=> v150(constB189)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB189, constB190)) | (v152(constB190) <=> v150(constB189)))),
% 9.60/7.20 inference(rewrite,[status(thm)],[])).
% 9.60/7.20 tff(32577,plain,
% 9.60/7.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB189, constB190)) | (v152(constB190) <=> v150(constB189)))),
% 9.60/7.20 inference(quant_inst,[status(thm)],[])).
% 9.60/7.20 tff(32578,plain,
% 9.60/7.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB189, constB190)) | (v152(constB190) <=> v150(constB189))),
% 9.60/7.20 inference(modus_ponens,[status(thm)],[32577, 32576])).
% 9.60/7.20 tff(32579,plain,
% 9.60/7.20 (v152(constB190) <=> v150(constB189)),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32578, 1002, 373])).
% 9.60/7.20 tff(32580,plain,
% 9.60/7.20 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v153(VarCurr) | v155(VarCurr)))) | (v150(constB189) <=> (v153(constB189) | v155(constB189)))),
% 9.60/7.20 inference(quant_inst,[status(thm)],[])).
% 9.60/7.20 tff(32581,plain,
% 9.60/7.20 (v150(constB189) <=> (v153(constB189) | v155(constB189))),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32580, 387])).
% 9.60/7.20 tff(32582,plain,
% 9.60/7.20 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB189) <=> (~((~v130(constB189)) | (~v139(constB189)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB189) <=> (~((~v130(constB189)) | (~v139(constB189))))))),
% 9.60/7.20 inference(rewrite,[status(thm)],[])).
% 9.60/7.20 tff(32583,plain,
% 9.60/7.20 ((v155(constB189) <=> (~((~v139(constB189)) | (~v130(constB189))))) <=> (v155(constB189) <=> (~((~v130(constB189)) | (~v139(constB189)))))),
% 9.60/7.20 inference(rewrite,[status(thm)],[])).
% 9.60/7.20 tff(32584,plain,
% 9.60/7.20 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB189) <=> (~((~v139(constB189)) | (~v130(constB189)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB189) <=> (~((~v130(constB189)) | (~v139(constB189))))))),
% 9.60/7.20 inference(monotonicity,[status(thm)],[32583])).
% 9.60/7.20 tff(32585,plain,
% 9.60/7.20 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB189) <=> (~((~v139(constB189)) | (~v130(constB189)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB189) <=> (~((~v130(constB189)) | (~v139(constB189))))))),
% 9.60/7.20 inference(transitivity,[status(thm)],[32584, 32582])).
% 9.60/7.20 tff(32586,plain,
% 9.60/7.20 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB189) <=> (~((~v139(constB189)) | (~v130(constB189)))))),
% 9.60/7.20 inference(quant_inst,[status(thm)],[])).
% 9.60/7.20 tff(32587,plain,
% 9.60/7.20 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB189) <=> (~((~v130(constB189)) | (~v139(constB189)))))),
% 9.60/7.20 inference(modus_ponens,[status(thm)],[32586, 32585])).
% 9.60/7.20 tff(32588,plain,
% 9.60/7.20 (v155(constB189) <=> (~((~v130(constB189)) | (~v139(constB189))))),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32587, 447])).
% 9.60/7.20 tff(32589,plain,
% 9.60/7.20 ((~![VarCurr: $i] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB189)) <=> v140(constB189))),
% 9.60/7.20 inference(quant_inst,[status(thm)],[])).
% 9.60/7.20 tff(32590,plain,
% 9.60/7.20 ((~v139(constB189)) <=> v140(constB189)),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32589, 203])).
% 9.60/7.20 tff(32591,plain,
% 9.60/7.20 ((~![VarCurr: $i] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB189) <=> (v141(constB189) | v26(constB189)))),
% 9.60/7.20 inference(quant_inst,[status(thm)],[])).
% 9.60/7.20 tff(32592,plain,
% 9.60/7.20 (v140(constB189) <=> (v141(constB189) | v26(constB189))),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32591, 212])).
% 9.60/7.20 tff(32593,plain,
% 9.60/7.20 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB189) <=> (~((~v39(constB189)) | (~v9(constB189)))))),
% 9.60/7.20 inference(quant_inst,[status(thm)],[])).
% 9.60/7.20 tff(32594,plain,
% 9.60/7.20 (v141(constB189) <=> (~((~v39(constB189)) | (~v9(constB189))))),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32593, 130])).
% 9.60/7.20 tff(32595,plain,
% 9.60/7.20 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB189, constB190)) | (v13(constB190) <=> v9(constB189)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB189, constB190)) | (v13(constB190) <=> v9(constB189)))),
% 9.60/7.20 inference(rewrite,[status(thm)],[])).
% 9.60/7.20 tff(32596,plain,
% 9.60/7.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB189, constB190)) | (v13(constB190) <=> v9(constB189)))),
% 9.60/7.20 inference(quant_inst,[status(thm)],[])).
% 9.60/7.20 tff(32597,plain,
% 9.60/7.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB189, constB190)) | (v13(constB190) <=> v9(constB189))),
% 9.60/7.20 inference(modus_ponens,[status(thm)],[32596, 32595])).
% 9.60/7.20 tff(32598,plain,
% 9.60/7.20 (v13(constB190) <=> v9(constB189)),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32597, 1002, 226])).
% 9.60/7.20 tff(32599,plain,
% 9.60/7.20 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB190) <=> v13(constB190))),
% 9.60/7.20 inference(quant_inst,[status(thm)],[])).
% 9.60/7.20 tff(32600,plain,
% 9.60/7.20 (v6(constB190) <=> v13(constB190)),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32599, 240])).
% 9.60/7.20 tff(32601,plain,
% 9.60/7.20 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB190)) <=> v6(constB190))),
% 9.60/7.20 inference(quant_inst,[status(thm)],[])).
% 9.60/7.20 tff(32602,plain,
% 9.60/7.20 ((~v21(constB190)) <=> v6(constB190)),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32601, 249])).
% 9.60/7.20 tff(32603,plain,
% 9.60/7.20 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB190) <=> (v20(constB190) | v21(constB190)))),
% 9.60/7.20 inference(quant_inst,[status(thm)],[])).
% 9.60/7.20 tff(32604,plain,
% 9.60/7.20 (v19(constB190) <=> (v20(constB190) | v21(constB190))),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32603, 258])).
% 9.60/7.20 tff(32605,plain,
% 9.60/7.20 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB190) <=> (~((~v19(constB190)) | (~v22(constB190)))))),
% 9.60/7.20 inference(quant_inst,[status(thm)],[])).
% 9.60/7.20 tff(32606,plain,
% 9.60/7.20 (v18(constB190) <=> (~((~v19(constB190)) | (~v22(constB190))))),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32605, 270])).
% 9.60/7.20 tff(32607,plain,
% 9.60/7.20 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB190)) <=> v18(constB190))),
% 9.60/7.20 inference(quant_inst,[status(thm)],[])).
% 9.60/7.20 tff(32608,plain,
% 9.60/7.20 ((~v4(constB190)) <=> v18(constB190)),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32607, 279])).
% 9.60/7.20 tff(32609,plain,
% 9.60/7.20 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB190)),
% 9.60/7.20 inference(quant_inst,[status(thm)],[])).
% 9.60/7.20 tff(32610,plain,
% 9.60/7.20 (v4(constB190)),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32609, 288])).
% 9.60/7.20 tff(32611,plain,
% 9.60/7.20 ((~((~v4(constB190)) <=> v18(constB190))) | (~v4(constB190)) | (~v18(constB190))),
% 9.60/7.20 inference(tautology,[status(thm)],[])).
% 9.60/7.20 tff(32612,plain,
% 9.60/7.20 (~v18(constB190)),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32611, 32610, 32608])).
% 9.60/7.20 tff(32613,plain,
% 9.60/7.20 ((~(v18(constB190) <=> (~((~v19(constB190)) | (~v22(constB190)))))) | v18(constB190) | ((~v19(constB190)) | (~v22(constB190)))),
% 9.60/7.20 inference(tautology,[status(thm)],[])).
% 9.60/7.20 tff(32614,plain,
% 9.60/7.20 ((~v19(constB190)) | (~v22(constB190))),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32613, 32612, 32606])).
% 9.60/7.20 tff(32615,plain,
% 9.60/7.20 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB190) <=> (v1(constB190) | v6(constB190)))),
% 9.60/7.20 inference(quant_inst,[status(thm)],[])).
% 9.60/7.20 tff(32616,plain,
% 9.60/7.20 (v22(constB190) <=> (v1(constB190) | v6(constB190))),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32615, 301])).
% 9.60/7.20 tff(32617,plain,
% 9.60/7.20 ((v1(constB190) | v6(constB190)) | (~v1(constB190))),
% 9.60/7.20 inference(tautology,[status(thm)],[])).
% 9.60/7.20 tff(32618,plain,
% 9.60/7.20 (v1(constB190) | v6(constB190)),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32617, 1032])).
% 9.60/7.20 tff(32619,plain,
% 9.60/7.20 ((~(v22(constB190) <=> (v1(constB190) | v6(constB190)))) | v22(constB190) | (~(v1(constB190) | v6(constB190)))),
% 9.60/7.20 inference(tautology,[status(thm)],[])).
% 9.60/7.20 tff(32620,plain,
% 9.60/7.20 ((~(v22(constB190) <=> (v1(constB190) | v6(constB190)))) | v22(constB190)),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32619, 32618])).
% 9.60/7.20 tff(32621,plain,
% 9.60/7.20 (v22(constB190)),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32620, 32616])).
% 9.60/7.20 tff(32622,plain,
% 9.60/7.20 ((~((~v19(constB190)) | (~v22(constB190)))) | (~v19(constB190)) | (~v22(constB190))),
% 9.60/7.20 inference(tautology,[status(thm)],[])).
% 9.60/7.20 tff(32623,plain,
% 9.60/7.20 ((~((~v19(constB190)) | (~v22(constB190)))) | (~v19(constB190))),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32622, 32621])).
% 9.60/7.20 tff(32624,plain,
% 9.60/7.20 (~v19(constB190)),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32623, 32614])).
% 9.60/7.20 tff(32625,plain,
% 9.60/7.20 ((~(v19(constB190) <=> (v20(constB190) | v21(constB190)))) | v19(constB190) | (~(v20(constB190) | v21(constB190)))),
% 9.60/7.20 inference(tautology,[status(thm)],[])).
% 9.60/7.20 tff(32626,plain,
% 9.60/7.20 (~(v20(constB190) | v21(constB190))),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32625, 32624, 32604])).
% 9.60/7.20 tff(32627,plain,
% 9.60/7.20 ((v20(constB190) | v21(constB190)) | (~v21(constB190))),
% 9.60/7.20 inference(tautology,[status(thm)],[])).
% 9.60/7.20 tff(32628,plain,
% 9.60/7.20 (~v21(constB190)),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32627, 32626])).
% 9.60/7.20 tff(32629,plain,
% 9.60/7.20 ((~((~v21(constB190)) <=> v6(constB190))) | v21(constB190) | v6(constB190)),
% 9.60/7.20 inference(tautology,[status(thm)],[])).
% 9.60/7.20 tff(32630,plain,
% 9.60/7.20 (v6(constB190)),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32629, 32628, 32602])).
% 9.60/7.20 tff(32631,plain,
% 9.60/7.20 ((~(v6(constB190) <=> v13(constB190))) | (~v6(constB190)) | v13(constB190)),
% 9.60/7.20 inference(tautology,[status(thm)],[])).
% 9.60/7.20 tff(32632,plain,
% 9.60/7.20 (v13(constB190)),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32631, 32630, 32600])).
% 9.60/7.20 tff(32633,plain,
% 9.60/7.20 ((~(v13(constB190) <=> v9(constB189))) | (~v13(constB190)) | v9(constB189)),
% 9.60/7.20 inference(tautology,[status(thm)],[])).
% 9.60/7.20 tff(32634,plain,
% 9.60/7.20 (v9(constB189)),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32633, 32632, 32598])).
% 9.60/7.20 tff(32635,plain,
% 9.60/7.20 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB189)) <=> v1(constB189))),
% 9.60/7.20 inference(quant_inst,[status(thm)],[])).
% 9.60/7.20 tff(32636,plain,
% 9.60/7.20 ((~v39(constB189)) <=> v1(constB189)),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32635, 139])).
% 9.60/7.20 tff(32637,plain,
% 9.60/7.20 ((~((~v39(constB189)) <=> v1(constB189))) | v39(constB189) | v1(constB189)),
% 9.60/7.20 inference(tautology,[status(thm)],[])).
% 9.60/7.20 tff(32638,plain,
% 9.60/7.20 ((~((~v39(constB189)) <=> v1(constB189))) | v39(constB189)),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32637, 1024])).
% 9.60/7.20 tff(32639,plain,
% 9.60/7.20 (v39(constB189)),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32638, 32636])).
% 9.60/7.20 tff(32640,plain,
% 9.60/7.20 ((~((~v39(constB189)) | (~v9(constB189)))) | (~v39(constB189)) | (~v9(constB189))),
% 9.60/7.20 inference(tautology,[status(thm)],[])).
% 9.60/7.20 tff(32641,plain,
% 9.60/7.20 ((~((~v39(constB189)) | (~v9(constB189)))) | (~v9(constB189))),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32640, 32639])).
% 9.60/7.20 tff(32642,plain,
% 9.60/7.20 (~((~v39(constB189)) | (~v9(constB189)))),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32641, 32634])).
% 9.60/7.20 tff(32643,plain,
% 9.60/7.20 ((~(v141(constB189) <=> (~((~v39(constB189)) | (~v9(constB189)))))) | v141(constB189) | ((~v39(constB189)) | (~v9(constB189)))),
% 9.60/7.20 inference(tautology,[status(thm)],[])).
% 9.60/7.20 tff(32644,plain,
% 9.60/7.20 (v141(constB189)),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32643, 32642, 32594])).
% 9.60/7.20 tff(32645,plain,
% 9.60/7.20 ((v141(constB189) | v26(constB189)) | (~v141(constB189))),
% 9.60/7.20 inference(tautology,[status(thm)],[])).
% 9.60/7.20 tff(32646,plain,
% 9.60/7.20 (v141(constB189) | v26(constB189)),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32645, 32644])).
% 9.60/7.20 tff(32647,plain,
% 9.60/7.20 ((~(v140(constB189) <=> (v141(constB189) | v26(constB189)))) | v140(constB189) | (~(v141(constB189) | v26(constB189)))),
% 9.60/7.20 inference(tautology,[status(thm)],[])).
% 9.60/7.20 tff(32648,plain,
% 9.60/7.20 (v140(constB189)),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32647, 32646, 32592])).
% 9.60/7.20 tff(32649,plain,
% 9.60/7.20 ((~((~v139(constB189)) <=> v140(constB189))) | (~v139(constB189)) | (~v140(constB189))),
% 9.60/7.20 inference(tautology,[status(thm)],[])).
% 9.60/7.20 tff(32650,plain,
% 9.60/7.20 (~v139(constB189)),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32649, 32648, 32590])).
% 9.60/7.20 tff(32651,plain,
% 9.60/7.20 (((~v130(constB189)) | (~v139(constB189))) | v139(constB189)),
% 9.60/7.20 inference(tautology,[status(thm)],[])).
% 9.60/7.20 tff(32652,plain,
% 9.60/7.20 ((~v130(constB189)) | (~v139(constB189))),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32651, 32650])).
% 9.60/7.20 tff(32653,plain,
% 9.60/7.20 ((~(v155(constB189) <=> (~((~v130(constB189)) | (~v139(constB189)))))) | (~v155(constB189)) | (~((~v130(constB189)) | (~v139(constB189))))),
% 9.60/7.20 inference(tautology,[status(thm)],[])).
% 9.60/7.20 tff(32654,plain,
% 9.60/7.20 (~v155(constB189)),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32653, 32652, 32588])).
% 9.60/7.20 tff(32655,plain,
% 9.60/7.20 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB189) <=> (~((~v132(constB189)) | (~v154(constB189)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB189) <=> (~((~v132(constB189)) | (~v154(constB189))))))),
% 9.60/7.20 inference(rewrite,[status(thm)],[])).
% 9.60/7.20 tff(32656,plain,
% 9.60/7.20 ((v153(constB189) <=> (~((~v154(constB189)) | (~v132(constB189))))) <=> (v153(constB189) <=> (~((~v132(constB189)) | (~v154(constB189)))))),
% 9.60/7.20 inference(rewrite,[status(thm)],[])).
% 9.60/7.20 tff(32657,plain,
% 9.60/7.20 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB189) <=> (~((~v154(constB189)) | (~v132(constB189)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB189) <=> (~((~v132(constB189)) | (~v154(constB189))))))),
% 9.60/7.20 inference(monotonicity,[status(thm)],[32656])).
% 9.60/7.20 tff(32658,plain,
% 9.60/7.20 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB189) <=> (~((~v154(constB189)) | (~v132(constB189)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB189) <=> (~((~v132(constB189)) | (~v154(constB189))))))),
% 9.60/7.20 inference(transitivity,[status(thm)],[32657, 32655])).
% 9.60/7.20 tff(32659,plain,
% 9.60/7.20 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB189) <=> (~((~v154(constB189)) | (~v132(constB189)))))),
% 9.60/7.20 inference(quant_inst,[status(thm)],[])).
% 9.60/7.20 tff(32660,plain,
% 9.60/7.20 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB189) <=> (~((~v132(constB189)) | (~v154(constB189)))))),
% 9.60/7.20 inference(modus_ponens,[status(thm)],[32659, 32658])).
% 9.60/7.20 tff(32661,plain,
% 9.60/7.20 (v153(constB189) <=> (~((~v132(constB189)) | (~v154(constB189))))),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32660, 399])).
% 9.60/7.20 tff(32662,plain,
% 9.60/7.20 ((~![VarNext: $i] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB189) <=> v137(constB189))),
% 9.60/7.20 inference(quant_inst,[status(thm)],[])).
% 9.60/7.20 tff(32663,plain,
% 9.60/7.20 (v132(constB189) <=> v137(constB189)),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32662, 558])).
% 9.60/7.20 tff(32664,plain,
% 9.60/7.20 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB188, constB189)) | (v137(constB189) <=> v135(constB188)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB188, constB189)) | (v137(constB189) <=> v135(constB188)))),
% 9.60/7.20 inference(rewrite,[status(thm)],[])).
% 9.60/7.20 tff(32665,plain,
% 9.60/7.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB188, constB189)) | (v137(constB189) <=> v135(constB188)))),
% 9.60/7.20 inference(quant_inst,[status(thm)],[])).
% 9.60/7.20 tff(32666,plain,
% 9.60/7.20 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB188, constB189)) | (v137(constB189) <=> v135(constB188))),
% 9.60/7.20 inference(modus_ponens,[status(thm)],[32665, 32664])).
% 9.60/7.20 tff(32667,plain,
% 9.60/7.20 (v137(constB189) <=> v135(constB188)),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32666, 1081, 570])).
% 9.60/7.20 tff(32668,plain,
% 9.60/7.20 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB188) <=> (v138(constB188) | v142(constB188)))),
% 9.60/7.20 inference(quant_inst,[status(thm)],[])).
% 9.60/7.20 tff(32669,plain,
% 9.60/7.20 (v135(constB188) <=> (v138(constB188) | v142(constB188))),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32668, 584])).
% 9.60/7.20 tff(32670,plain,
% 9.60/7.20 ((~![VarCurr: $i] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB188) <=> (~((~v143(constB188)) | (~v144(constB188)))))),
% 9.60/7.20 inference(quant_inst,[status(thm)],[])).
% 9.60/7.20 tff(32671,plain,
% 9.60/7.20 (v142(constB188) <=> (~((~v143(constB188)) | (~v144(constB188))))),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32670, 596])).
% 9.60/7.20 tff(32672,plain,
% 9.60/7.20 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB188) <=> (~((~v141(constB188)) | (~v145(constB188)))))),
% 9.60/7.20 inference(quant_inst,[status(thm)],[])).
% 9.60/7.20 tff(32673,plain,
% 9.60/7.20 (v144(constB188) <=> (~((~v141(constB188)) | (~v145(constB188))))),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32672, 608])).
% 9.60/7.20 tff(32674,plain,
% 9.60/7.20 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB188) <=> (~((~v39(constB188)) | (~v9(constB188)))))),
% 9.60/7.20 inference(quant_inst,[status(thm)],[])).
% 9.60/7.20 tff(32675,plain,
% 9.60/7.20 (v141(constB188) <=> (~((~v39(constB188)) | (~v9(constB188))))),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32674, 130])).
% 9.60/7.20 tff(32676,plain,
% 9.60/7.20 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB188)) <=> v1(constB188))),
% 9.60/7.20 inference(quant_inst,[status(thm)],[])).
% 9.60/7.20 tff(32677,plain,
% 9.60/7.20 ((~v39(constB188)) <=> v1(constB188)),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32676, 139])).
% 9.60/7.20 tff(32678,plain,
% 9.60/7.20 ((~((~v39(constB188)) <=> v1(constB188))) | (~v39(constB188)) | (~v1(constB188))),
% 9.60/7.20 inference(tautology,[status(thm)],[])).
% 9.60/7.20 tff(32679,plain,
% 9.60/7.20 ((~((~v39(constB188)) <=> v1(constB188))) | (~v39(constB188))),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32678, 1143])).
% 9.60/7.20 tff(32680,plain,
% 9.60/7.20 (~v39(constB188)),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32679, 32677])).
% 9.60/7.20 tff(32681,plain,
% 9.60/7.20 (((~v39(constB188)) | (~v9(constB188))) | v39(constB188)),
% 9.60/7.20 inference(tautology,[status(thm)],[])).
% 9.60/7.20 tff(32682,plain,
% 9.60/7.20 ((~v39(constB188)) | (~v9(constB188))),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32681, 32680])).
% 9.60/7.20 tff(32683,plain,
% 9.60/7.20 ((~(v141(constB188) <=> (~((~v39(constB188)) | (~v9(constB188)))))) | (~v141(constB188)) | (~((~v39(constB188)) | (~v9(constB188))))),
% 9.60/7.20 inference(tautology,[status(thm)],[])).
% 9.60/7.20 tff(32684,plain,
% 9.60/7.20 ((~(v141(constB188) <=> (~((~v39(constB188)) | (~v9(constB188)))))) | (~v141(constB188))),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32683, 32682])).
% 9.60/7.20 tff(32685,plain,
% 9.60/7.20 (~v141(constB188)),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32684, 32675])).
% 9.60/7.20 tff(32686,plain,
% 9.60/7.20 (((~v141(constB188)) | (~v145(constB188))) | v141(constB188)),
% 9.60/7.20 inference(tautology,[status(thm)],[])).
% 9.60/7.20 tff(32687,plain,
% 9.60/7.20 ((~v141(constB188)) | (~v145(constB188))),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32686, 32685])).
% 9.60/7.20 tff(32688,plain,
% 9.60/7.20 ((~(v144(constB188) <=> (~((~v141(constB188)) | (~v145(constB188)))))) | (~v144(constB188)) | (~((~v141(constB188)) | (~v145(constB188))))),
% 9.60/7.20 inference(tautology,[status(thm)],[])).
% 9.60/7.20 tff(32689,plain,
% 9.60/7.20 ((~(v144(constB188) <=> (~((~v141(constB188)) | (~v145(constB188)))))) | (~v144(constB188))),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32688, 32687])).
% 9.60/7.20 tff(32690,plain,
% 9.60/7.20 (~v144(constB188)),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32689, 32673])).
% 9.60/7.20 tff(32691,plain,
% 9.60/7.20 (((~v143(constB188)) | (~v144(constB188))) | v144(constB188)),
% 9.60/7.20 inference(tautology,[status(thm)],[])).
% 9.60/7.20 tff(32692,plain,
% 9.60/7.20 ((~v143(constB188)) | (~v144(constB188))),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32691, 32690])).
% 9.60/7.20 tff(32693,plain,
% 9.60/7.20 ((~(v142(constB188) <=> (~((~v143(constB188)) | (~v144(constB188)))))) | (~v142(constB188)) | (~((~v143(constB188)) | (~v144(constB188))))),
% 9.60/7.20 inference(tautology,[status(thm)],[])).
% 9.60/7.20 tff(32694,plain,
% 9.60/7.20 (~v142(constB188)),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32693, 32692, 32671])).
% 9.60/7.20 tff(32695,plain,
% 9.60/7.20 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB188) <=> (~((~v132(constB188)) | (~v139(constB188)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB188) <=> (~((~v132(constB188)) | (~v139(constB188))))))),
% 9.60/7.20 inference(rewrite,[status(thm)],[])).
% 9.60/7.20 tff(32696,plain,
% 9.60/7.20 ((v138(constB188) <=> (~((~v139(constB188)) | (~v132(constB188))))) <=> (v138(constB188) <=> (~((~v132(constB188)) | (~v139(constB188)))))),
% 9.60/7.20 inference(rewrite,[status(thm)],[])).
% 9.60/7.20 tff(32697,plain,
% 9.60/7.20 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB188) <=> (~((~v139(constB188)) | (~v132(constB188)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB188) <=> (~((~v132(constB188)) | (~v139(constB188))))))),
% 9.60/7.20 inference(monotonicity,[status(thm)],[32696])).
% 9.60/7.20 tff(32698,plain,
% 9.60/7.20 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB188) <=> (~((~v139(constB188)) | (~v132(constB188)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB188) <=> (~((~v132(constB188)) | (~v139(constB188))))))),
% 9.60/7.20 inference(transitivity,[status(thm)],[32697, 32695])).
% 9.60/7.20 tff(32699,plain,
% 9.60/7.20 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB188) <=> (~((~v139(constB188)) | (~v132(constB188)))))),
% 9.60/7.20 inference(quant_inst,[status(thm)],[])).
% 9.60/7.20 tff(32700,plain,
% 9.60/7.20 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB188) <=> (~((~v132(constB188)) | (~v139(constB188)))))),
% 9.60/7.20 inference(modus_ponens,[status(thm)],[32699, 32698])).
% 9.60/7.20 tff(32701,plain,
% 9.60/7.20 (v138(constB188) <=> (~((~v132(constB188)) | (~v139(constB188))))),
% 9.60/7.20 inference(unit_resolution,[status(thm)],[32700, 644])).
% 9.60/7.20 tff(32702,plain,
% 9.60/7.20 ((~![VarNext: $i] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB188) <=> v137(constB188))),
% 9.60/7.20 inference(quant_inst,[status(thm)],[])).
% 9.60/7.20 tff(32703,plain,
% 9.60/7.20 (v132(constB188) <=> v137(constB188)),
% 9.69/7.21 inference(unit_resolution,[status(thm)],[32702, 558])).
% 9.69/7.21 tff(32704,plain,
% 9.69/7.21 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB187, constB188)) | (v137(constB188) <=> v135(constB187)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB187, constB188)) | (v137(constB188) <=> v135(constB187)))),
% 9.69/7.21 inference(rewrite,[status(thm)],[])).
% 9.69/7.21 tff(32705,plain,
% 9.69/7.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB187, constB188)) | (v137(constB188) <=> v135(constB187)))),
% 9.69/7.21 inference(quant_inst,[status(thm)],[])).
% 9.69/7.21 tff(32706,plain,
% 9.69/7.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB187, constB188)) | (v137(constB188) <=> v135(constB187))),
% 9.69/7.21 inference(modus_ponens,[status(thm)],[32705, 32704])).
% 9.69/7.21 tff(32707,plain,
% 9.69/7.21 (v137(constB188) <=> v135(constB187)),
% 9.69/7.21 inference(unit_resolution,[status(thm)],[32706, 1113, 570])).
% 9.69/7.21 tff(32708,plain,
% 9.69/7.21 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB187) <=> (v138(constB187) | v142(constB187)))),
% 9.69/7.21 inference(quant_inst,[status(thm)],[])).
% 9.69/7.21 tff(32709,plain,
% 9.69/7.21 (v135(constB187) <=> (v138(constB187) | v142(constB187))),
% 9.69/7.21 inference(unit_resolution,[status(thm)],[32708, 584])).
% 9.69/7.21 tff(32710,plain,
% 9.69/7.21 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB187) <=> (~((~v132(constB187)) | (~v139(constB187)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB187) <=> (~((~v132(constB187)) | (~v139(constB187))))))),
% 9.69/7.21 inference(rewrite,[status(thm)],[])).
% 9.69/7.21 tff(32711,plain,
% 9.69/7.21 ((v138(constB187) <=> (~((~v139(constB187)) | (~v132(constB187))))) <=> (v138(constB187) <=> (~((~v132(constB187)) | (~v139(constB187)))))),
% 9.69/7.21 inference(rewrite,[status(thm)],[])).
% 9.69/7.21 tff(32712,plain,
% 9.69/7.21 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB187) <=> (~((~v139(constB187)) | (~v132(constB187)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB187) <=> (~((~v132(constB187)) | (~v139(constB187))))))),
% 9.69/7.21 inference(monotonicity,[status(thm)],[32711])).
% 9.69/7.21 tff(32713,plain,
% 9.69/7.21 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB187) <=> (~((~v139(constB187)) | (~v132(constB187)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB187) <=> (~((~v132(constB187)) | (~v139(constB187))))))),
% 9.69/7.21 inference(transitivity,[status(thm)],[32712, 32710])).
% 9.69/7.21 tff(32714,plain,
% 9.69/7.21 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB187) <=> (~((~v139(constB187)) | (~v132(constB187)))))),
% 9.69/7.21 inference(quant_inst,[status(thm)],[])).
% 9.69/7.21 tff(32715,plain,
% 9.69/7.21 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB187) <=> (~((~v132(constB187)) | (~v139(constB187)))))),
% 9.69/7.21 inference(modus_ponens,[status(thm)],[32714, 32713])).
% 9.69/7.21 tff(32716,plain,
% 9.69/7.21 (v138(constB187) <=> (~((~v132(constB187)) | (~v139(constB187))))),
% 9.69/7.21 inference(unit_resolution,[status(thm)],[32715, 644])).
% 9.69/7.21 tff(32717,plain,
% 9.69/7.21 ((~![VarCurr: $i] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB187)) <=> v140(constB187))),
% 9.69/7.21 inference(quant_inst,[status(thm)],[])).
% 9.69/7.21 tff(32718,plain,
% 9.69/7.21 ((~v139(constB187)) <=> v140(constB187)),
% 9.69/7.21 inference(unit_resolution,[status(thm)],[32717, 203])).
% 9.69/7.21 tff(32719,plain,
% 9.69/7.21 ((~![VarCurr: $i] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB187) <=> (v141(constB187) | v26(constB187)))),
% 9.69/7.21 inference(quant_inst,[status(thm)],[])).
% 9.69/7.21 tff(32720,plain,
% 9.69/7.21 (v140(constB187) <=> (v141(constB187) | v26(constB187))),
% 9.69/7.21 inference(unit_resolution,[status(thm)],[32719, 212])).
% 9.69/7.21 tff(32721,plain,
% 9.69/7.21 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB187) <=> (~((~v39(constB187)) | (~v9(constB187)))))),
% 9.69/7.21 inference(quant_inst,[status(thm)],[])).
% 9.69/7.21 tff(32722,plain,
% 9.69/7.21 (v141(constB187) <=> (~((~v39(constB187)) | (~v9(constB187))))),
% 9.69/7.21 inference(unit_resolution,[status(thm)],[32721, 130])).
% 9.69/7.21 tff(32723,plain,
% 9.69/7.21 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB187, constB188)) | (v13(constB188) <=> v9(constB187)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB187, constB188)) | (v13(constB188) <=> v9(constB187)))),
% 9.69/7.21 inference(rewrite,[status(thm)],[])).
% 9.69/7.21 tff(32724,plain,
% 9.69/7.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB187, constB188)) | (v13(constB188) <=> v9(constB187)))),
% 9.69/7.21 inference(quant_inst,[status(thm)],[])).
% 9.69/7.21 tff(32725,plain,
% 9.69/7.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB187, constB188)) | (v13(constB188) <=> v9(constB187))),
% 9.69/7.21 inference(modus_ponens,[status(thm)],[32724, 32723])).
% 9.69/7.21 tff(32726,plain,
% 9.69/7.21 (v13(constB188) <=> v9(constB187)),
% 9.69/7.21 inference(unit_resolution,[status(thm)],[32725, 1113, 226])).
% 9.69/7.21 tff(32727,plain,
% 9.69/7.21 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB188) <=> v13(constB188))),
% 9.69/7.21 inference(quant_inst,[status(thm)],[])).
% 9.69/7.21 tff(32728,plain,
% 9.69/7.21 (v6(constB188) <=> v13(constB188)),
% 9.69/7.21 inference(unit_resolution,[status(thm)],[32727, 240])).
% 9.69/7.21 tff(32729,plain,
% 9.69/7.21 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB188)) <=> v6(constB188))),
% 9.69/7.21 inference(quant_inst,[status(thm)],[])).
% 9.69/7.21 tff(32730,plain,
% 9.69/7.21 ((~v21(constB188)) <=> v6(constB188)),
% 9.69/7.21 inference(unit_resolution,[status(thm)],[32729, 249])).
% 9.69/7.21 tff(32731,plain,
% 9.69/7.21 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB188) <=> (v20(constB188) | v21(constB188)))),
% 9.69/7.21 inference(quant_inst,[status(thm)],[])).
% 9.69/7.21 tff(32732,plain,
% 9.69/7.21 (v19(constB188) <=> (v20(constB188) | v21(constB188))),
% 9.69/7.21 inference(unit_resolution,[status(thm)],[32731, 258])).
% 9.69/7.21 tff(32733,plain,
% 9.69/7.21 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB188) <=> (~((~v19(constB188)) | (~v22(constB188)))))),
% 9.69/7.21 inference(quant_inst,[status(thm)],[])).
% 9.69/7.21 tff(32734,plain,
% 9.69/7.21 (v18(constB188) <=> (~((~v19(constB188)) | (~v22(constB188))))),
% 9.69/7.21 inference(unit_resolution,[status(thm)],[32733, 270])).
% 9.69/7.21 tff(32735,plain,
% 9.69/7.21 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB188)) <=> v18(constB188))),
% 9.69/7.21 inference(quant_inst,[status(thm)],[])).
% 9.69/7.21 tff(32736,plain,
% 9.69/7.21 ((~v4(constB188)) <=> v18(constB188)),
% 9.69/7.21 inference(unit_resolution,[status(thm)],[32735, 279])).
% 9.69/7.21 tff(32737,plain,
% 9.69/7.21 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB188)),
% 9.69/7.21 inference(quant_inst,[status(thm)],[])).
% 9.69/7.21 tff(32738,plain,
% 9.69/7.21 (v4(constB188)),
% 9.69/7.21 inference(unit_resolution,[status(thm)],[32737, 288])).
% 9.69/7.21 tff(32739,plain,
% 9.69/7.21 ((~((~v4(constB188)) <=> v18(constB188))) | (~v4(constB188)) | (~v18(constB188))),
% 9.69/7.21 inference(tautology,[status(thm)],[])).
% 9.69/7.21 tff(32740,plain,
% 9.69/7.21 (~v18(constB188)),
% 9.69/7.21 inference(unit_resolution,[status(thm)],[32739, 32738, 32736])).
% 9.69/7.21 tff(32741,plain,
% 9.69/7.21 ((~(v18(constB188) <=> (~((~v19(constB188)) | (~v22(constB188)))))) | v18(constB188) | ((~v19(constB188)) | (~v22(constB188)))),
% 9.69/7.21 inference(tautology,[status(thm)],[])).
% 9.69/7.21 tff(32742,plain,
% 9.69/7.21 ((~v19(constB188)) | (~v22(constB188))),
% 9.69/7.21 inference(unit_resolution,[status(thm)],[32741, 32740, 32734])).
% 9.69/7.21 tff(32743,plain,
% 9.69/7.21 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB188) <=> (v1(constB188) | v6(constB188)))),
% 9.69/7.21 inference(quant_inst,[status(thm)],[])).
% 9.69/7.21 tff(32744,plain,
% 9.69/7.21 (v22(constB188) <=> (v1(constB188) | v6(constB188))),
% 9.69/7.21 inference(unit_resolution,[status(thm)],[32743, 301])).
% 9.69/7.21 tff(32745,plain,
% 9.69/7.21 ((v1(constB188) | v6(constB188)) | (~v1(constB188))),
% 9.69/7.21 inference(tautology,[status(thm)],[])).
% 9.69/7.21 tff(32746,plain,
% 9.69/7.21 (v1(constB188) | v6(constB188)),
% 9.69/7.21 inference(unit_resolution,[status(thm)],[32745, 1143])).
% 9.69/7.21 tff(32747,plain,
% 9.69/7.21 ((~(v22(constB188) <=> (v1(constB188) | v6(constB188)))) | v22(constB188) | (~(v1(constB188) | v6(constB188)))),
% 9.69/7.21 inference(tautology,[status(thm)],[])).
% 9.69/7.21 tff(32748,plain,
% 9.69/7.21 ((~(v22(constB188) <=> (v1(constB188) | v6(constB188)))) | v22(constB188)),
% 9.69/7.21 inference(unit_resolution,[status(thm)],[32747, 32746])).
% 9.69/7.21 tff(32749,plain,
% 9.69/7.21 (v22(constB188)),
% 9.69/7.21 inference(unit_resolution,[status(thm)],[32748, 32744])).
% 9.69/7.21 tff(32750,plain,
% 9.69/7.21 ((~((~v19(constB188)) | (~v22(constB188)))) | (~v19(constB188)) | (~v22(constB188))),
% 9.69/7.21 inference(tautology,[status(thm)],[])).
% 9.69/7.21 tff(32751,plain,
% 9.69/7.21 ((~((~v19(constB188)) | (~v22(constB188)))) | (~v19(constB188))),
% 9.69/7.21 inference(unit_resolution,[status(thm)],[32750, 32749])).
% 9.69/7.21 tff(32752,plain,
% 9.69/7.21 (~v19(constB188)),
% 9.69/7.21 inference(unit_resolution,[status(thm)],[32751, 32742])).
% 9.69/7.21 tff(32753,plain,
% 9.69/7.21 ((~(v19(constB188) <=> (v20(constB188) | v21(constB188)))) | v19(constB188) | (~(v20(constB188) | v21(constB188)))),
% 9.69/7.21 inference(tautology,[status(thm)],[])).
% 9.69/7.21 tff(32754,plain,
% 9.69/7.21 (~(v20(constB188) | v21(constB188))),
% 9.69/7.21 inference(unit_resolution,[status(thm)],[32753, 32752, 32732])).
% 9.69/7.21 tff(32755,plain,
% 9.69/7.21 ((v20(constB188) | v21(constB188)) | (~v21(constB188))),
% 9.69/7.21 inference(tautology,[status(thm)],[])).
% 9.69/7.21 tff(32756,plain,
% 9.69/7.21 (~v21(constB188)),
% 9.69/7.21 inference(unit_resolution,[status(thm)],[32755, 32754])).
% 9.69/7.21 tff(32757,plain,
% 9.69/7.21 ((~((~v21(constB188)) <=> v6(constB188))) | v21(constB188) | v6(constB188)),
% 9.69/7.21 inference(tautology,[status(thm)],[])).
% 9.69/7.21 tff(32758,plain,
% 9.69/7.21 (v6(constB188)),
% 9.69/7.21 inference(unit_resolution,[status(thm)],[32757, 32756, 32730])).
% 9.69/7.21 tff(32759,plain,
% 9.69/7.21 ((~(v6(constB188) <=> v13(constB188))) | (~v6(constB188)) | v13(constB188)),
% 9.69/7.21 inference(tautology,[status(thm)],[])).
% 9.69/7.21 tff(32760,plain,
% 9.69/7.21 (v13(constB188)),
% 9.69/7.21 inference(unit_resolution,[status(thm)],[32759, 32758, 32728])).
% 9.69/7.21 tff(32761,plain,
% 9.69/7.21 ((~(v13(constB188) <=> v9(constB187))) | (~v13(constB188)) | v9(constB187)),
% 9.69/7.21 inference(tautology,[status(thm)],[])).
% 9.69/7.21 tff(32762,plain,
% 9.69/7.21 (v9(constB187)),
% 9.69/7.21 inference(unit_resolution,[status(thm)],[32761, 32760, 32726])).
% 9.69/7.21 tff(32763,plain,
% 9.69/7.21 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB187)) <=> v1(constB187))),
% 9.69/7.21 inference(quant_inst,[status(thm)],[])).
% 9.69/7.21 tff(32764,plain,
% 9.69/7.21 ((~v39(constB187)) <=> v1(constB187)),
% 9.69/7.21 inference(unit_resolution,[status(thm)],[32763, 139])).
% 9.69/7.21 tff(32765,plain,
% 9.69/7.21 ((~((~v39(constB187)) <=> v1(constB187))) | v39(constB187) | v1(constB187)),
% 9.69/7.21 inference(tautology,[status(thm)],[])).
% 9.69/7.21 tff(32766,plain,
% 9.69/7.21 ((~((~v39(constB187)) <=> v1(constB187))) | v39(constB187)),
% 9.69/7.21 inference(unit_resolution,[status(thm)],[32765, 1135])).
% 9.69/7.21 tff(32767,plain,
% 9.69/7.21 (v39(constB187)),
% 9.69/7.21 inference(unit_resolution,[status(thm)],[32766, 32764])).
% 9.69/7.21 tff(32768,plain,
% 9.69/7.21 ((~((~v39(constB187)) | (~v9(constB187)))) | (~v39(constB187)) | (~v9(constB187))),
% 9.69/7.21 inference(tautology,[status(thm)],[])).
% 9.69/7.21 tff(32769,plain,
% 9.69/7.21 ((~((~v39(constB187)) | (~v9(constB187)))) | (~v9(constB187))),
% 9.69/7.21 inference(unit_resolution,[status(thm)],[32768, 32767])).
% 9.69/7.21 tff(32770,plain,
% 9.69/7.21 (~((~v39(constB187)) | (~v9(constB187)))),
% 9.69/7.21 inference(unit_resolution,[status(thm)],[32769, 32762])).
% 9.69/7.21 tff(32771,plain,
% 9.69/7.21 ((~(v141(constB187) <=> (~((~v39(constB187)) | (~v9(constB187)))))) | v141(constB187) | ((~v39(constB187)) | (~v9(constB187)))),
% 9.69/7.21 inference(tautology,[status(thm)],[])).
% 9.69/7.21 tff(32772,plain,
% 9.69/7.21 (v141(constB187)),
% 9.69/7.21 inference(unit_resolution,[status(thm)],[32771, 32770, 32722])).
% 9.69/7.21 tff(32773,plain,
% 9.69/7.21 ((v141(constB187) | v26(constB187)) | (~v141(constB187))),
% 9.69/7.21 inference(tautology,[status(thm)],[])).
% 9.69/7.21 tff(32774,plain,
% 9.69/7.21 (v141(constB187) | v26(constB187)),
% 9.69/7.21 inference(unit_resolution,[status(thm)],[32773, 32772])).
% 9.69/7.21 tff(32775,plain,
% 9.69/7.21 ((~(v140(constB187) <=> (v141(constB187) | v26(constB187)))) | v140(constB187) | (~(v141(constB187) | v26(constB187)))),
% 9.69/7.21 inference(tautology,[status(thm)],[])).
% 9.69/7.21 tff(32776,plain,
% 9.69/7.21 (v140(constB187)),
% 9.69/7.21 inference(unit_resolution,[status(thm)],[32775, 32774, 32720])).
% 9.69/7.21 tff(32777,plain,
% 9.69/7.21 ((~((~v139(constB187)) <=> v140(constB187))) | (~v139(constB187)) | (~v140(constB187))),
% 9.69/7.21 inference(tautology,[status(thm)],[])).
% 9.69/7.21 tff(32778,plain,
% 9.69/7.21 (~v139(constB187)),
% 9.69/7.21 inference(unit_resolution,[status(thm)],[32777, 32776, 32718])).
% 9.69/7.21 tff(32779,plain,
% 9.69/7.21 (((~v132(constB187)) | (~v139(constB187))) | v139(constB187)),
% 9.69/7.21 inference(tautology,[status(thm)],[])).
% 9.69/7.21 tff(32780,plain,
% 9.69/7.21 ((~v132(constB187)) | (~v139(constB187))),
% 9.69/7.21 inference(unit_resolution,[status(thm)],[32779, 32778])).
% 9.69/7.21 tff(32781,plain,
% 9.69/7.21 ((~(v138(constB187) <=> (~((~v132(constB187)) | (~v139(constB187)))))) | (~v138(constB187)) | (~((~v132(constB187)) | (~v139(constB187))))),
% 9.69/7.21 inference(tautology,[status(thm)],[])).
% 9.69/7.21 tff(32782,plain,
% 9.69/7.21 (~v138(constB187)),
% 9.69/7.21 inference(unit_resolution,[status(thm)],[32781, 32780, 32716])).
% 9.69/7.21 tff(32783,plain,
% 9.69/7.21 ((~![VarCurr: $i] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB187) <=> (~((~v143(constB187)) | (~v144(constB187)))))),
% 9.69/7.21 inference(quant_inst,[status(thm)],[])).
% 9.69/7.21 tff(32784,plain,
% 9.69/7.21 (v142(constB187) <=> (~((~v143(constB187)) | (~v144(constB187))))),
% 9.69/7.21 inference(unit_resolution,[status(thm)],[32783, 596])).
% 9.69/7.21 tff(32785,plain,
% 9.69/7.21 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB187) <=> (~((~v141(constB187)) | (~v145(constB187)))))),
% 9.69/7.21 inference(quant_inst,[status(thm)],[])).
% 9.69/7.21 tff(32786,plain,
% 9.69/7.21 (v144(constB187) <=> (~((~v141(constB187)) | (~v145(constB187))))),
% 9.69/7.21 inference(unit_resolution,[status(thm)],[32785, 608])).
% 9.69/7.21 tff(32787,plain,
% 9.69/7.21 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB187) <=> (~(v84(constB187, bitIndex2) | v84(constB187, bitIndex1) | (~v84(constB187, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB187) <=> (~(v84(constB187, bitIndex2) | v84(constB187, bitIndex1) | (~v84(constB187, bitIndex0))))))),
% 9.69/7.21 inference(rewrite,[status(thm)],[])).
% 9.69/7.21 tff(32788,plain,
% 9.69/7.21 ((v145(constB187) <=> (~(v84(constB187, bitIndex1) | v84(constB187, bitIndex2) | (~v84(constB187, bitIndex0))))) <=> (v145(constB187) <=> (~(v84(constB187, bitIndex2) | v84(constB187, bitIndex1) | (~v84(constB187, bitIndex0)))))),
% 9.69/7.21 inference(rewrite,[status(thm)],[])).
% 9.69/7.21 tff(32789,plain,
% 9.69/7.21 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB187) <=> (~(v84(constB187, bitIndex1) | v84(constB187, bitIndex2) | (~v84(constB187, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB187) <=> (~(v84(constB187, bitIndex2) | v84(constB187, bitIndex1) | (~v84(constB187, bitIndex0))))))),
% 9.69/7.21 inference(monotonicity,[status(thm)],[32788])).
% 9.69/7.21 tff(32790,plain,
% 9.69/7.21 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB187) <=> (~(v84(constB187, bitIndex1) | v84(constB187, bitIndex2) | (~v84(constB187, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB187) <=> (~(v84(constB187, bitIndex2) | v84(constB187, bitIndex1) | (~v84(constB187, bitIndex0))))))),
% 9.69/7.21 inference(transitivity,[status(thm)],[32789, 32787])).
% 9.69/7.21 tff(32791,plain,
% 9.69/7.21 ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB187) <=> (~(v84(constB187, bitIndex1) | v84(constB187, bitIndex2) | (~v84(constB187, bitIndex0)))))),
% 9.69/7.21 inference(quant_inst,[status(thm)],[])).
% 9.69/7.21 tff(32792,plain,
% 9.69/7.21 ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB187) <=> (~(v84(constB187, bitIndex2) | v84(constB187, bitIndex1) | (~v84(constB187, bitIndex0)))))),
% 9.69/7.21 inference(modus_ponens,[status(thm)],[32791, 32790])).
% 9.69/7.21 tff(32793,plain,
% 9.69/7.21 (v145(constB187) <=> (~(v84(constB187, bitIndex2) | v84(constB187, bitIndex1) | (~v84(constB187, bitIndex0))))),
% 9.69/7.21 inference(unit_resolution,[status(thm)],[32792, 755])).
% 9.69/7.21 tff(32794,plain,
% 9.69/7.21 ((v84(constB187, bitIndex2) | v84(constB187, bitIndex1) | (~v84(constB187, bitIndex0))) | (~v84(constB187, bitIndex1))),
% 9.69/7.21 inference(tautology,[status(thm)],[])).
% 9.69/7.21 tff(32795,plain,
% 9.69/7.21 (v84(constB187, bitIndex2) | v84(constB187, bitIndex1) | (~v84(constB187, bitIndex0))),
% 9.69/7.21 inference(unit_resolution,[status(thm)],[32794, 25067])).
% 9.69/7.21 tff(32796,plain,
% 9.69/7.21 ((~(v145(constB187) <=> (~(v84(constB187, bitIndex2) | v84(constB187, bitIndex1) | (~v84(constB187, bitIndex0)))))) | (~v145(constB187)) | (~(v84(constB187, bitIndex2) | v84(constB187, bitIndex1) | (~v84(constB187, bitIndex0))))),
% 9.69/7.21 inference(tautology,[status(thm)],[])).
% 9.69/7.21 tff(32797,plain,
% 9.69/7.21 (~v145(constB187)),
% 9.69/7.21 inference(unit_resolution,[status(thm)],[32796, 32795, 32793])).
% 9.69/7.21 tff(32798,plain,
% 9.69/7.21 (((~v141(constB187)) | (~v145(constB187))) | v145(constB187)),
% 9.69/7.21 inference(tautology,[status(thm)],[])).
% 9.69/7.21 tff(32799,plain,
% 9.69/7.21 ((~v141(constB187)) | (~v145(constB187))),
% 9.69/7.21 inference(unit_resolution,[status(thm)],[32798, 32797])).
% 9.69/7.21 tff(32800,plain,
% 9.69/7.21 ((~(v144(constB187) <=> (~((~v141(constB187)) | (~v145(constB187)))))) | (~v144(constB187)) | (~((~v141(constB187)) | (~v145(constB187))))),
% 9.69/7.21 inference(tautology,[status(thm)],[])).
% 9.69/7.21 tff(32801,plain,
% 9.69/7.21 (~v144(constB187)),
% 9.69/7.21 inference(unit_resolution,[status(thm)],[32800, 32799, 32786])).
% 9.69/7.21 tff(32802,plain,
% 9.69/7.21 (((~v143(constB187)) | (~v144(constB187))) | v144(constB187)),
% 9.69/7.21 inference(tautology,[status(thm)],[])).
% 9.69/7.21 tff(32803,plain,
% 9.69/7.21 ((~v143(constB187)) | (~v144(constB187))),
% 9.69/7.21 inference(unit_resolution,[status(thm)],[32802, 32801])).
% 9.69/7.21 tff(32804,plain,
% 9.69/7.21 ((~(v142(constB187) <=> (~((~v143(constB187)) | (~v144(constB187)))))) | (~v142(constB187)) | (~((~v143(constB187)) | (~v144(constB187))))),
% 9.69/7.21 inference(tautology,[status(thm)],[])).
% 9.69/7.21 tff(32805,plain,
% 9.69/7.21 (~v142(constB187)),
% 9.69/7.21 inference(unit_resolution,[status(thm)],[32804, 32803, 32784])).
% 9.69/7.21 tff(32806,plain,
% 9.69/7.21 ((~(v138(constB187) | v142(constB187))) | v138(constB187) | v142(constB187)),
% 9.69/7.21 inference(tautology,[status(thm)],[])).
% 9.69/7.21 tff(32807,plain,
% 9.69/7.21 (~(v138(constB187) | v142(constB187))),
% 9.69/7.21 inference(unit_resolution,[status(thm)],[32806, 32805, 32782])).
% 9.69/7.21 tff(32808,plain,
% 9.69/7.21 ((~(v135(constB187) <=> (v138(constB187) | v142(constB187)))) | (~v135(constB187)) | (v138(constB187) | v142(constB187))),
% 9.69/7.21 inference(tautology,[status(thm)],[])).
% 9.69/7.21 tff(32809,plain,
% 9.69/7.21 (~v135(constB187)),
% 9.69/7.21 inference(unit_resolution,[status(thm)],[32808, 32807, 32709])).
% 9.69/7.21 tff(32810,plain,
% 9.69/7.21 ((~(v137(constB188) <=> v135(constB187))) | (~v137(constB188)) | v135(constB187)),
% 9.69/7.21 inference(tautology,[status(thm)],[])).
% 9.69/7.21 tff(32811,plain,
% 9.69/7.21 (~v137(constB188)),
% 9.69/7.21 inference(unit_resolution,[status(thm)],[32810, 32809, 32707])).
% 9.69/7.21 tff(32812,plain,
% 9.69/7.21 ((~(v132(constB188) <=> v137(constB188))) | (~v132(constB188)) | v137(constB188)),
% 9.69/7.21 inference(tautology,[status(thm)],[])).
% 9.69/7.21 tff(32813,plain,
% 9.69/7.21 (~v132(constB188)),
% 9.69/7.21 inference(unit_resolution,[status(thm)],[32812, 32811, 32703])).
% 9.69/7.21 tff(32814,plain,
% 9.69/7.21 (((~v132(constB188)) | (~v139(constB188))) | v132(constB188)),
% 9.69/7.21 inference(tautology,[status(thm)],[])).
% 9.69/7.21 tff(32815,plain,
% 9.69/7.21 ((~v132(constB188)) | (~v139(constB188))),
% 9.69/7.21 inference(unit_resolution,[status(thm)],[32814, 32813])).
% 9.69/7.21 tff(32816,plain,
% 9.69/7.21 ((~(v138(constB188) <=> (~((~v132(constB188)) | (~v139(constB188)))))) | (~v138(constB188)) | (~((~v132(constB188)) | (~v139(constB188))))),
% 9.69/7.21 inference(tautology,[status(thm)],[])).
% 9.69/7.21 tff(32817,plain,
% 9.69/7.21 (~v138(constB188)),
% 9.69/7.21 inference(unit_resolution,[status(thm)],[32816, 32815, 32701])).
% 9.69/7.21 tff(32818,plain,
% 9.69/7.21 ((~(v138(constB188) | v142(constB188))) | v138(constB188) | v142(constB188)),
% 9.69/7.21 inference(tautology,[status(thm)],[])).
% 9.69/7.21 tff(32819,plain,
% 9.69/7.21 (~(v138(constB188) | v142(constB188))),
% 9.69/7.21 inference(unit_resolution,[status(thm)],[32818, 32817, 32694])).
% 9.69/7.21 tff(32820,plain,
% 9.69/7.21 ((~(v135(constB188) <=> (v138(constB188) | v142(constB188)))) | (~v135(constB188)) | (v138(constB188) | v142(constB188))),
% 9.69/7.21 inference(tautology,[status(thm)],[])).
% 9.69/7.21 tff(32821,plain,
% 9.69/7.21 (~v135(constB188)),
% 9.69/7.21 inference(unit_resolution,[status(thm)],[32820, 32819, 32669])).
% 9.69/7.21 tff(32822,plain,
% 9.69/7.21 ((~(v137(constB189) <=> v135(constB188))) | (~v137(constB189)) | v135(constB188)),
% 9.69/7.21 inference(tautology,[status(thm)],[])).
% 9.69/7.21 tff(32823,plain,
% 9.69/7.21 (~v137(constB189)),
% 9.69/7.21 inference(unit_resolution,[status(thm)],[32822, 32821, 32667])).
% 9.69/7.21 tff(32824,plain,
% 9.69/7.21 ((~(v132(constB189) <=> v137(constB189))) | (~v132(constB189)) | v137(constB189)),
% 9.69/7.21 inference(tautology,[status(thm)],[])).
% 9.69/7.21 tff(32825,plain,
% 9.69/7.21 (~v132(constB189)),
% 9.69/7.21 inference(unit_resolution,[status(thm)],[32824, 32823, 32663])).
% 9.69/7.21 tff(32826,plain,
% 9.69/7.21 (((~v132(constB189)) | (~v154(constB189))) | v132(constB189)),
% 9.69/7.21 inference(tautology,[status(thm)],[])).
% 9.69/7.21 tff(32827,plain,
% 9.69/7.21 ((~v132(constB189)) | (~v154(constB189))),
% 9.69/7.21 inference(unit_resolution,[status(thm)],[32826, 32825])).
% 9.69/7.21 tff(32828,plain,
% 9.69/7.21 ((~(v153(constB189) <=> (~((~v132(constB189)) | (~v154(constB189)))))) | (~v153(constB189)) | (~((~v132(constB189)) | (~v154(constB189))))),
% 9.69/7.21 inference(tautology,[status(thm)],[])).
% 9.69/7.21 tff(32829,plain,
% 9.69/7.21 (~v153(constB189)),
% 9.69/7.21 inference(unit_resolution,[status(thm)],[32828, 32827, 32661])).
% 9.69/7.21 tff(32830,plain,
% 9.69/7.21 ((~(v153(constB189) | v155(constB189))) | v153(constB189) | v155(constB189)),
% 9.69/7.21 inference(tautology,[status(thm)],[])).
% 9.69/7.21 tff(32831,plain,
% 9.69/7.21 (~(v153(constB189) | v155(constB189))),
% 9.69/7.21 inference(unit_resolution,[status(thm)],[32830, 32829, 32654])).
% 9.69/7.21 tff(32832,plain,
% 9.69/7.21 ((~(v150(constB189) <=> (v153(constB189) | v155(constB189)))) | (~v150(constB189)) | (v153(constB189) | v155(constB189))),
% 9.69/7.21 inference(tautology,[status(thm)],[])).
% 9.69/7.21 tff(32833,plain,
% 9.69/7.21 (~v150(constB189)),
% 9.69/7.21 inference(unit_resolution,[status(thm)],[32832, 32831, 32581])).
% 9.69/7.21 tff(32834,plain,
% 9.69/7.21 ((~(v152(constB190) <=> v150(constB189))) | (~v152(constB190)) | v150(constB189)),
% 9.69/7.21 inference(tautology,[status(thm)],[])).
% 9.69/7.21 tff(32835,plain,
% 9.69/7.21 (~v152(constB190)),
% 9.69/7.21 inference(unit_resolution,[status(thm)],[32834, 32833, 32579])).
% 9.69/7.21 tff(32836,plain,
% 9.69/7.21 ((~(v130(constB190) <=> v152(constB190))) | (~v130(constB190)) | v152(constB190)),
% 9.69/7.21 inference(tautology,[status(thm)],[])).
% 9.69/7.21 tff(32837,plain,
% 9.69/7.21 (~v130(constB190)),
% 9.69/7.21 inference(unit_resolution,[status(thm)],[32836, 32835, 32575])).
% 9.69/7.21 tff(32838,plain,
% 9.69/7.21 (((~v130(constB190)) | (~v139(constB190))) | v130(constB190)),
% 9.69/7.21 inference(tautology,[status(thm)],[])).
% 9.69/7.21 tff(32839,plain,
% 9.69/7.21 ((~v130(constB190)) | (~v139(constB190))),
% 9.69/7.21 inference(unit_resolution,[status(thm)],[32838, 32837])).
% 9.69/7.21 tff(32840,plain,
% 9.69/7.21 ((~(v155(constB190) <=> (~((~v130(constB190)) | (~v139(constB190)))))) | (~v155(constB190)) | (~((~v130(constB190)) | (~v139(constB190))))),
% 9.69/7.21 inference(tautology,[status(thm)],[])).
% 9.69/7.21 tff(32841,plain,
% 9.69/7.21 (~v155(constB190)),
% 9.69/7.21 inference(unit_resolution,[status(thm)],[32840, 32839, 32573])).
% 9.69/7.21 tff(32842,plain,
% 9.69/7.21 ((~(v153(constB190) | v155(constB190))) | v153(constB190) | v155(constB190)),
% 9.69/7.21 inference(tautology,[status(thm)],[])).
% 9.69/7.21 tff(32843,plain,
% 9.69/7.21 (~(v153(constB190) | v155(constB190))),
% 9.69/7.21 inference(unit_resolution,[status(thm)],[32842, 32841, 32566])).
% 9.69/7.21 tff(32844,plain,
% 9.69/7.21 ((~(v150(constB190) <=> (v153(constB190) | v155(constB190)))) | (~v150(constB190)) | (v153(constB190) | v155(constB190))),
% 9.69/7.21 inference(tautology,[status(thm)],[])).
% 9.69/7.21 tff(32845,plain,
% 9.69/7.21 (~v150(constB190)),
% 9.69/7.21 inference(unit_resolution,[status(thm)],[32844, 32843, 32531])).
% 9.69/7.21 tff(32846,plain,
% 9.69/7.21 ((~(v152(constB191) <=> v150(constB190))) | (~v152(constB191)) | v150(constB190)),
% 9.69/7.21 inference(tautology,[status(thm)],[])).
% 9.69/7.21 tff(32847,plain,
% 9.69/7.21 (~v152(constB191)),
% 9.69/7.21 inference(unit_resolution,[status(thm)],[32846, 32845, 32529])).
% 9.69/7.21 tff(32848,plain,
% 9.69/7.21 ((~(v130(constB191) <=> v152(constB191))) | (~v130(constB191)) | v152(constB191)),
% 9.69/7.21 inference(tautology,[status(thm)],[])).
% 9.69/7.21 tff(32849,plain,
% 9.69/7.21 (~v130(constB191)),
% 9.69/7.21 inference(unit_resolution,[status(thm)],[32848, 32847, 32525])).
% 9.69/7.21 tff(32850,plain,
% 9.69/7.21 (((~v130(constB191)) | (~v154(constB191))) | v130(constB191)),
% 9.69/7.21 inference(tautology,[status(thm)],[])).
% 9.69/7.21 tff(32851,plain,
% 9.69/7.21 ((~v130(constB191)) | (~v154(constB191))),
% 9.69/7.21 inference(unit_resolution,[status(thm)],[32850, 32849])).
% 9.69/7.21 tff(32852,plain,
% 9.69/7.21 ((~(v164(constB191) <=> (~((~v130(constB191)) | (~v154(constB191)))))) | (~v164(constB191)) | (~((~v130(constB191)) | (~v154(constB191))))),
% 9.69/7.21 inference(tautology,[status(thm)],[])).
% 9.69/7.21 tff(32853,plain,
% 9.69/7.21 (~v164(constB191)),
% 9.69/7.21 inference(unit_resolution,[status(thm)],[32852, 32851, 32523])).
% 9.69/7.21 tff(32854,plain,
% 9.69/7.21 ((~(v163(constB191) | v164(constB191))) | v163(constB191) | v164(constB191)),
% 9.69/7.21 inference(tautology,[status(thm)],[])).
% 9.69/7.21 tff(32855,plain,
% 9.69/7.21 (~(v163(constB191) | v164(constB191))),
% 9.69/7.21 inference(unit_resolution,[status(thm)],[32854, 32853, 32516])).
% 9.69/7.21 tff(32856,plain,
% 9.69/7.21 ((~(v160(constB191) <=> (v163(constB191) | v164(constB191)))) | (~v160(constB191)) | (v163(constB191) | v164(constB191))),
% 9.69/7.21 inference(tautology,[status(thm)],[])).
% 9.69/7.21 tff(32857,plain,
% 9.69/7.21 (~v160(constB191)),
% 9.69/7.21 inference(unit_resolution,[status(thm)],[32856, 32855, 32443])).
% 9.69/7.21 tff(32858,plain,
% 9.69/7.21 ((~(v162(constB192) <=> v160(constB191))) | (~v162(constB192)) | v160(constB191)),
% 9.69/7.21 inference(tautology,[status(thm)],[])).
% 9.69/7.21 tff(32859,plain,
% 9.69/7.21 (~v162(constB192)),
% 9.69/7.21 inference(unit_resolution,[status(thm)],[32858, 32857, 32441])).
% 9.69/7.21 tff(32860,plain,
% 9.69/7.21 ((~(v128(constB192) <=> v162(constB192))) | (~v128(constB192)) | v162(constB192)),
% 9.69/7.21 inference(tautology,[status(thm)],[])).
% 9.69/7.21 tff(32861,plain,
% 9.69/7.21 (~v128(constB192)),
% 9.69/7.21 inference(unit_resolution,[status(thm)],[32860, 32859, 32437])).
% 9.69/7.21 tff(32862,plain,
% 9.69/7.21 (((~v128(constB192)) | (~v139(constB192))) | v128(constB192)),
% 9.69/7.21 inference(tautology,[status(thm)],[])).
% 9.69/7.21 tff(32863,plain,
% 9.69/7.21 ((~v128(constB192)) | (~v139(constB192))),
% 9.69/7.21 inference(unit_resolution,[status(thm)],[32862, 32861])).
% 9.69/7.21 tff(32864,plain,
% 9.69/7.21 ((~(v163(constB192) <=> (~((~v128(constB192)) | (~v139(constB192)))))) | (~v163(constB192)) | (~((~v128(constB192)) | (~v139(constB192))))),
% 9.69/7.21 inference(tautology,[status(thm)],[])).
% 9.69/7.21 tff(32865,plain,
% 9.69/7.21 (~v163(constB192)),
% 9.69/7.21 inference(unit_resolution,[status(thm)],[32864, 32863, 32435])).
% 9.69/7.21 tff(32866,plain,
% 9.69/7.21 ((~(v163(constB192) | v164(constB192))) | v163(constB192) | v164(constB192)),
% 9.69/7.21 inference(tautology,[status(thm)],[])).
% 9.69/7.21 tff(32867,plain,
% 9.69/7.21 (~(v163(constB192) | v164(constB192))),
% 9.69/7.21 inference(unit_resolution,[status(thm)],[32866, 32865, 32428])).
% 9.69/7.21 tff(32868,plain,
% 9.69/7.21 ((~(v160(constB192) <=> (v163(constB192) | v164(constB192)))) | (~v160(constB192)) | (v163(constB192) | v164(constB192))),
% 9.69/7.21 inference(tautology,[status(thm)],[])).
% 9.69/7.21 tff(32869,plain,
% 9.69/7.21 (~v160(constB192)),
% 9.69/7.21 inference(unit_resolution,[status(thm)],[32868, 32867, 32393])).
% 9.69/7.21 tff(32870,plain,
% 9.69/7.21 ((~(v162(constB193) <=> v160(constB192))) | (~v162(constB193)) | v160(constB192)),
% 9.69/7.21 inference(tautology,[status(thm)],[])).
% 9.69/7.21 tff(32871,plain,
% 9.69/7.21 (~v162(constB193)),
% 9.69/7.21 inference(unit_resolution,[status(thm)],[32870, 32869, 32391])).
% 9.69/7.21 tff(32872,plain,
% 9.69/7.21 ($false),
% 9.69/7.21 inference(unit_resolution,[status(thm)],[32871, 32387])).
% 9.69/7.21 tff(32873,plain,(~(constB193 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.69/7.21 tff(32874,assumption,(constB21 = VarCurr!0), introduced(assumption)).
% 9.69/7.21 tff(32875,plain,
% 9.69/7.21 (v170(constB21) <=> v170(VarCurr!0)),
% 9.69/7.21 inference(monotonicity,[status(thm)],[32874])).
% 9.69/7.21 tff(32876,plain,
% 9.69/7.21 (v170(VarCurr!0) <=> v170(constB21)),
% 9.69/7.21 inference(symmetry,[status(thm)],[32875])).
% 9.69/7.21 tff(32877,plain,
% 9.69/7.21 (v170(constB21)),
% 9.69/7.21 inference(modus_ponens,[status(thm)],[26047, 32876])).
% 9.69/7.21 tff(32878,plain,
% 9.69/7.21 (((~![VarCurr: $i] : (v170(VarCurr) <=> (~((~v171(VarCurr)) | (~v141(VarCurr)))))) | (v170(constB21) <=> (~((~v141(constB21)) | (~v171(constB21)))))) <=> ((~![VarCurr: $i] : (v170(VarCurr) <=> (~((~v171(VarCurr)) | (~v141(VarCurr)))))) | (v170(constB21) <=> (~((~v141(constB21)) | (~v171(constB21))))))),
% 9.69/7.21 inference(rewrite,[status(thm)],[])).
% 9.69/7.21 tff(32879,plain,
% 9.69/7.21 ((v170(constB21) <=> (~((~v171(constB21)) | (~v141(constB21))))) <=> (v170(constB21) <=> (~((~v141(constB21)) | (~v171(constB21)))))),
% 9.69/7.21 inference(rewrite,[status(thm)],[])).
% 9.69/7.21 tff(32880,plain,
% 9.69/7.21 (((~![VarCurr: $i] : (v170(VarCurr) <=> (~((~v171(VarCurr)) | (~v141(VarCurr)))))) | (v170(constB21) <=> (~((~v171(constB21)) | (~v141(constB21)))))) <=> ((~![VarCurr: $i] : (v170(VarCurr) <=> (~((~v171(VarCurr)) | (~v141(VarCurr)))))) | (v170(constB21) <=> (~((~v141(constB21)) | (~v171(constB21))))))),
% 9.69/7.21 inference(monotonicity,[status(thm)],[32879])).
% 9.69/7.21 tff(32881,plain,
% 9.69/7.21 (((~![VarCurr: $i] : (v170(VarCurr) <=> (~((~v171(VarCurr)) | (~v141(VarCurr)))))) | (v170(constB21) <=> (~((~v171(constB21)) | (~v141(constB21)))))) <=> ((~![VarCurr: $i] : (v170(VarCurr) <=> (~((~v171(VarCurr)) | (~v141(VarCurr)))))) | (v170(constB21) <=> (~((~v141(constB21)) | (~v171(constB21))))))),
% 9.69/7.21 inference(transitivity,[status(thm)],[32880, 32878])).
% 9.69/7.21 tff(32882,plain,
% 9.69/7.21 ((~![VarCurr: $i] : (v170(VarCurr) <=> (~((~v171(VarCurr)) | (~v141(VarCurr)))))) | (v170(constB21) <=> (~((~v171(constB21)) | (~v141(constB21)))))),
% 9.69/7.21 inference(quant_inst,[status(thm)],[])).
% 9.69/7.21 tff(32883,plain,
% 9.69/7.21 ((~![VarCurr: $i] : (v170(VarCurr) <=> (~((~v171(VarCurr)) | (~v141(VarCurr)))))) | (v170(constB21) <=> (~((~v141(constB21)) | (~v171(constB21)))))),
% 9.69/7.21 inference(modus_ponens,[status(thm)],[32882, 32881])).
% 9.69/7.21 tff(32884,plain,
% 9.69/7.21 (v170(constB21) <=> (~((~v141(constB21)) | (~v171(constB21))))),
% 9.69/7.21 inference(unit_resolution,[status(thm)],[32883, 26058])).
% 9.69/7.21 tff(32885,plain,
% 9.69/7.21 ((~![VarCurr: $i] : ((~v171(VarCurr)) <=> v172(VarCurr))) | ((~v171(constB21)) <=> v172(constB21))),
% 9.69/7.21 inference(quant_inst,[status(thm)],[])).
% 9.69/7.21 tff(32886,plain,
% 9.69/7.21 ((~v171(constB21)) <=> v172(constB21)),
% 9.69/7.21 inference(unit_resolution,[status(thm)],[32885, 26072])).
% 9.69/7.21 tff(32887,plain,
% 9.69/7.21 (((~![VarCurr: $i] : (v172(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v172(constB21) <=> (~((~v84(constB21, bitIndex2)) | v84(constB21, bitIndex1) | v84(constB21, bitIndex0))))) <=> ((~![VarCurr: $i] : (v172(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v172(constB21) <=> (~((~v84(constB21, bitIndex2)) | v84(constB21, bitIndex1) | v84(constB21, bitIndex0)))))),
% 9.69/7.21 inference(rewrite,[status(thm)],[])).
% 9.69/7.21 tff(32888,plain,
% 9.69/7.21 ((v172(constB21) <=> (~(v84(constB21, bitIndex0) | v84(constB21, bitIndex1) | (~v84(constB21, bitIndex2))))) <=> (v172(constB21) <=> (~((~v84(constB21, bitIndex2)) | v84(constB21, bitIndex1) | v84(constB21, bitIndex0))))),
% 9.69/7.21 inference(rewrite,[status(thm)],[])).
% 9.69/7.21 tff(32889,plain,
% 9.69/7.21 (((~![VarCurr: $i] : (v172(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v172(constB21) <=> (~(v84(constB21, bitIndex0) | v84(constB21, bitIndex1) | (~v84(constB21, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v172(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v172(constB21) <=> (~((~v84(constB21, bitIndex2)) | v84(constB21, bitIndex1) | v84(constB21, bitIndex0)))))),
% 9.69/7.21 inference(monotonicity,[status(thm)],[32888])).
% 9.69/7.21 tff(32890,plain,
% 9.69/7.21 (((~![VarCurr: $i] : (v172(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v172(constB21) <=> (~(v84(constB21, bitIndex0) | v84(constB21, bitIndex1) | (~v84(constB21, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v172(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v172(constB21) <=> (~((~v84(constB21, bitIndex2)) | v84(constB21, bitIndex1) | v84(constB21, bitIndex0)))))),
% 9.69/7.21 inference(transitivity,[status(thm)],[32889, 32887])).
% 9.69/7.21 tff(32891,plain,
% 9.69/7.21 ((~![VarCurr: $i] : (v172(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v172(constB21) <=> (~(v84(constB21, bitIndex0) | v84(constB21, bitIndex1) | (~v84(constB21, bitIndex2)))))),
% 9.69/7.21 inference(quant_inst,[status(thm)],[])).
% 9.69/7.21 tff(32892,plain,
% 9.69/7.21 ((~![VarCurr: $i] : (v172(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v172(constB21) <=> (~((~v84(constB21, bitIndex2)) | v84(constB21, bitIndex1) | v84(constB21, bitIndex0))))),
% 9.69/7.21 inference(modus_ponens,[status(thm)],[32891, 32890])).
% 9.69/7.21 tff(32893,plain,
% 9.69/7.21 (v172(constB21) <=> (~((~v84(constB21, bitIndex2)) | v84(constB21, bitIndex1) | v84(constB21, bitIndex0)))),
% 9.69/7.21 inference(unit_resolution,[status(thm)],[32892, 26087])).
% 9.69/7.21 tff(32894,plain,
% 9.69/7.21 ((~(v172(constB21) <=> (~((~v84(constB21, bitIndex2)) | v84(constB21, bitIndex1) | v84(constB21, bitIndex0))))) | v172(constB21) | ((~v84(constB21, bitIndex2)) | v84(constB21, bitIndex1) | v84(constB21, bitIndex0))),
% 9.69/7.21 inference(tautology,[status(thm)],[])).
% 9.69/7.21 tff(32895,plain,
% 9.69/7.21 (v172(constB21)),
% 9.69/7.21 inference(unit_resolution,[status(thm)],[32894, 11629, 32893])).
% 9.69/7.21 tff(32896,plain,
% 9.69/7.21 ((~((~v171(constB21)) <=> v172(constB21))) | (~v171(constB21)) | (~v172(constB21))),
% 9.69/7.21 inference(tautology,[status(thm)],[])).
% 9.69/7.21 tff(32897,plain,
% 9.69/7.21 (~v171(constB21)),
% 9.69/7.21 inference(unit_resolution,[status(thm)],[32896, 32895, 32886])).
% 9.69/7.21 tff(32898,plain,
% 9.69/7.21 (((~v141(constB21)) | (~v171(constB21))) | v171(constB21)),
% 9.69/7.21 inference(tautology,[status(thm)],[])).
% 9.69/7.21 tff(32899,plain,
% 9.69/7.21 ((~v141(constB21)) | (~v171(constB21))),
% 9.69/7.21 inference(unit_resolution,[status(thm)],[32898, 32897])).
% 9.69/7.21 tff(32900,plain,
% 9.69/7.21 ((~(v170(constB21) <=> (~((~v141(constB21)) | (~v171(constB21)))))) | (~v170(constB21)) | (~((~v141(constB21)) | (~v171(constB21))))),
% 9.69/7.21 inference(tautology,[status(thm)],[])).
% 9.69/7.21 tff(32901,plain,
% 9.69/7.21 (~v170(constB21)),
% 9.69/7.21 inference(unit_resolution,[status(thm)],[32900, 32899, 32884])).
% 9.69/7.21 tff(32902,plain,
% 9.69/7.21 ($false),
% 9.69/7.21 inference(unit_resolution,[status(thm)],[32901, 32877])).
% 9.69/7.21 tff(32903,plain,(~(constB21 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.69/7.21 tff(32904,assumption,(constB79 = VarCurr!0), introduced(assumption)).
% 9.69/7.21 tff(32905,plain,
% 9.69/7.21 (v162(constB79) <=> v162(VarCurr!0)),
% 9.69/7.21 inference(monotonicity,[status(thm)],[32904])).
% 9.69/7.21 tff(32906,plain,
% 9.69/7.21 (v162(VarCurr!0) <=> v162(constB79)),
% 9.69/7.21 inference(symmetry,[status(thm)],[32905])).
% 9.69/7.21 tff(32907,plain,
% 9.69/7.21 (v162(constB79)),
% 9.69/7.21 inference(modus_ponens,[status(thm)],[59, 32906])).
% 9.69/7.21 tff(32908,plain,
% 9.69/7.21 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB78, constB79)) | (v162(constB79) <=> v160(constB78)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB78, constB79)) | (v162(constB79) <=> v160(constB78)))),
% 9.69/7.21 inference(rewrite,[status(thm)],[])).
% 9.69/7.21 tff(32909,plain,
% 9.69/7.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB78, constB79)) | (v162(constB79) <=> v160(constB78)))),
% 9.69/7.21 inference(quant_inst,[status(thm)],[])).
% 9.69/7.21 tff(32910,plain,
% 9.69/7.21 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB78, constB79)) | (v162(constB79) <=> v160(constB78))),
% 9.69/7.21 inference(modus_ponens,[status(thm)],[32909, 32908])).
% 9.69/7.21 tff(32911,plain,
% 9.69/7.21 (v162(constB79) <=> v160(constB78)),
% 9.69/7.21 inference(unit_resolution,[status(thm)],[32910, 6165, 70])).
% 9.69/7.21 tff(32912,plain,
% 9.69/7.21 ((~![VarCurr: $i] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB78) <=> (v163(constB78) | v164(constB78)))),
% 9.69/7.21 inference(quant_inst,[status(thm)],[])).
% 9.69/7.21 tff(32913,plain,
% 9.69/7.21 (v160(constB78) <=> (v163(constB78) | v164(constB78))),
% 9.69/7.21 inference(unit_resolution,[status(thm)],[32912, 84])).
% 9.69/7.21 tff(32914,plain,
% 9.69/7.21 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB78) <=> (~((~v130(constB78)) | (~v154(constB78)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB78) <=> (~((~v130(constB78)) | (~v154(constB78))))))),
% 9.69/7.21 inference(rewrite,[status(thm)],[])).
% 9.69/7.21 tff(32915,plain,
% 9.69/7.21 ((v164(constB78) <=> (~((~v154(constB78)) | (~v130(constB78))))) <=> (v164(constB78) <=> (~((~v130(constB78)) | (~v154(constB78)))))),
% 9.69/7.21 inference(rewrite,[status(thm)],[])).
% 9.69/7.21 tff(32916,plain,
% 9.69/7.21 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB78) <=> (~((~v154(constB78)) | (~v130(constB78)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB78) <=> (~((~v130(constB78)) | (~v154(constB78))))))),
% 9.69/7.21 inference(monotonicity,[status(thm)],[32915])).
% 9.69/7.21 tff(32917,plain,
% 9.69/7.21 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB78) <=> (~((~v154(constB78)) | (~v130(constB78)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB78) <=> (~((~v130(constB78)) | (~v154(constB78))))))),
% 9.69/7.21 inference(transitivity,[status(thm)],[32916, 32914])).
% 9.69/7.21 tff(32918,plain,
% 9.69/7.21 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB78) <=> (~((~v154(constB78)) | (~v130(constB78)))))),
% 9.69/7.21 inference(quant_inst,[status(thm)],[])).
% 9.69/7.21 tff(32919,plain,
% 9.69/7.21 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB78) <=> (~((~v130(constB78)) | (~v154(constB78)))))),
% 9.69/7.21 inference(modus_ponens,[status(thm)],[32918, 32917])).
% 9.69/7.21 tff(32920,plain,
% 9.69/7.21 (v164(constB78) <=> (~((~v130(constB78)) | (~v154(constB78))))),
% 9.69/7.21 inference(unit_resolution,[status(thm)],[32919, 96])).
% 9.69/7.21 tff(32921,plain,
% 9.69/7.21 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB78) <=> (~((~v141(constB78)) | (~v143(constB78)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB78) <=> (~((~v141(constB78)) | (~v143(constB78))))))),
% 9.69/7.21 inference(rewrite,[status(thm)],[])).
% 9.69/7.21 tff(32922,plain,
% 9.69/7.21 ((v154(constB78) <=> (~((~v143(constB78)) | (~v141(constB78))))) <=> (v154(constB78) <=> (~((~v141(constB78)) | (~v143(constB78)))))),
% 9.69/7.21 inference(rewrite,[status(thm)],[])).
% 9.69/7.21 tff(32923,plain,
% 9.69/7.21 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB78) <=> (~((~v143(constB78)) | (~v141(constB78)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB78) <=> (~((~v141(constB78)) | (~v143(constB78))))))),
% 9.69/7.21 inference(monotonicity,[status(thm)],[32922])).
% 9.69/7.21 tff(32924,plain,
% 9.69/7.21 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB78) <=> (~((~v143(constB78)) | (~v141(constB78)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB78) <=> (~((~v141(constB78)) | (~v143(constB78))))))),
% 9.69/7.21 inference(transitivity,[status(thm)],[32923, 32921])).
% 9.69/7.21 tff(32925,plain,
% 9.69/7.21 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB78) <=> (~((~v143(constB78)) | (~v141(constB78)))))),
% 9.69/7.21 inference(quant_inst,[status(thm)],[])).
% 9.69/7.22 tff(32926,plain,
% 9.69/7.22 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB78) <=> (~((~v141(constB78)) | (~v143(constB78)))))),
% 9.69/7.22 inference(modus_ponens,[status(thm)],[32925, 32924])).
% 9.69/7.22 tff(32927,plain,
% 9.69/7.22 (v154(constB78) <=> (~((~v141(constB78)) | (~v143(constB78))))),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[32926, 113])).
% 9.69/7.22 tff(32928,plain,
% 9.69/7.22 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB78) <=> (~((~v39(constB78)) | (~v9(constB78)))))),
% 9.69/7.22 inference(quant_inst,[status(thm)],[])).
% 9.69/7.22 tff(32929,plain,
% 9.69/7.22 (v141(constB78) <=> (~((~v39(constB78)) | (~v9(constB78))))),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[32928, 130])).
% 9.69/7.22 tff(32930,plain,
% 9.69/7.22 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB78)) <=> v1(constB78))),
% 9.69/7.22 inference(quant_inst,[status(thm)],[])).
% 9.69/7.22 tff(32931,plain,
% 9.69/7.22 ((~v39(constB78)) <=> v1(constB78)),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[32930, 139])).
% 9.69/7.22 tff(32932,plain,
% 9.69/7.22 ((~((~v39(constB78)) <=> v1(constB78))) | (~v39(constB78)) | (~v1(constB78))),
% 9.69/7.22 inference(tautology,[status(thm)],[])).
% 9.69/7.22 tff(32933,plain,
% 9.69/7.22 ((~((~v39(constB78)) <=> v1(constB78))) | (~v39(constB78))),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[32932, 6227])).
% 9.69/7.22 tff(32934,plain,
% 9.69/7.22 (~v39(constB78)),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[32933, 32931])).
% 9.69/7.22 tff(32935,plain,
% 9.69/7.22 (((~v39(constB78)) | (~v9(constB78))) | v39(constB78)),
% 9.69/7.22 inference(tautology,[status(thm)],[])).
% 9.69/7.22 tff(32936,plain,
% 9.69/7.22 ((~v39(constB78)) | (~v9(constB78))),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[32935, 32934])).
% 9.69/7.22 tff(32937,plain,
% 9.69/7.22 ((~(v141(constB78) <=> (~((~v39(constB78)) | (~v9(constB78)))))) | (~v141(constB78)) | (~((~v39(constB78)) | (~v9(constB78))))),
% 9.69/7.22 inference(tautology,[status(thm)],[])).
% 9.69/7.22 tff(32938,plain,
% 9.69/7.22 ((~(v141(constB78) <=> (~((~v39(constB78)) | (~v9(constB78)))))) | (~v141(constB78))),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[32937, 32936])).
% 9.69/7.22 tff(32939,plain,
% 9.69/7.22 (~v141(constB78)),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[32938, 32929])).
% 9.69/7.22 tff(32940,plain,
% 9.69/7.22 (((~v141(constB78)) | (~v143(constB78))) | v141(constB78)),
% 9.69/7.22 inference(tautology,[status(thm)],[])).
% 9.69/7.22 tff(32941,plain,
% 9.69/7.22 ((~v141(constB78)) | (~v143(constB78))),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[32940, 32939])).
% 9.69/7.22 tff(32942,plain,
% 9.69/7.22 ((~(v154(constB78) <=> (~((~v141(constB78)) | (~v143(constB78)))))) | (~v154(constB78)) | (~((~v141(constB78)) | (~v143(constB78))))),
% 9.69/7.22 inference(tautology,[status(thm)],[])).
% 9.69/7.22 tff(32943,plain,
% 9.69/7.22 ((~(v154(constB78) <=> (~((~v141(constB78)) | (~v143(constB78)))))) | (~v154(constB78))),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[32942, 32941])).
% 9.69/7.22 tff(32944,plain,
% 9.69/7.22 (~v154(constB78)),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[32943, 32927])).
% 9.69/7.22 tff(32945,plain,
% 9.69/7.22 (((~v130(constB78)) | (~v154(constB78))) | v154(constB78)),
% 9.69/7.22 inference(tautology,[status(thm)],[])).
% 9.69/7.22 tff(32946,plain,
% 9.69/7.22 ((~v130(constB78)) | (~v154(constB78))),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[32945, 32944])).
% 9.69/7.22 tff(32947,plain,
% 9.69/7.22 ((~(v164(constB78) <=> (~((~v130(constB78)) | (~v154(constB78)))))) | (~v164(constB78)) | (~((~v130(constB78)) | (~v154(constB78))))),
% 9.69/7.22 inference(tautology,[status(thm)],[])).
% 9.69/7.22 tff(32948,plain,
% 9.69/7.22 (~v164(constB78)),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[32947, 32946, 32920])).
% 9.69/7.22 tff(32949,plain,
% 9.69/7.22 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB78) <=> (~((~v128(constB78)) | (~v139(constB78)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB78) <=> (~((~v128(constB78)) | (~v139(constB78))))))),
% 9.69/7.22 inference(rewrite,[status(thm)],[])).
% 9.69/7.22 tff(32950,plain,
% 9.69/7.22 ((v163(constB78) <=> (~((~v139(constB78)) | (~v128(constB78))))) <=> (v163(constB78) <=> (~((~v128(constB78)) | (~v139(constB78)))))),
% 9.69/7.22 inference(rewrite,[status(thm)],[])).
% 9.69/7.22 tff(32951,plain,
% 9.69/7.22 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB78) <=> (~((~v139(constB78)) | (~v128(constB78)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB78) <=> (~((~v128(constB78)) | (~v139(constB78))))))),
% 9.69/7.22 inference(monotonicity,[status(thm)],[32950])).
% 9.69/7.22 tff(32952,plain,
% 9.69/7.22 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB78) <=> (~((~v139(constB78)) | (~v128(constB78)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB78) <=> (~((~v128(constB78)) | (~v139(constB78))))))),
% 9.69/7.22 inference(transitivity,[status(thm)],[32951, 32949])).
% 9.69/7.22 tff(32953,plain,
% 9.69/7.22 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB78) <=> (~((~v139(constB78)) | (~v128(constB78)))))),
% 9.69/7.22 inference(quant_inst,[status(thm)],[])).
% 9.69/7.22 tff(32954,plain,
% 9.69/7.22 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB78) <=> (~((~v128(constB78)) | (~v139(constB78)))))),
% 9.69/7.22 inference(modus_ponens,[status(thm)],[32953, 32952])).
% 9.69/7.22 tff(32955,plain,
% 9.69/7.22 (v163(constB78) <=> (~((~v128(constB78)) | (~v139(constB78))))),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[32954, 171])).
% 9.69/7.22 tff(32956,plain,
% 9.69/7.22 ((~![VarNext: $i] : (v128(VarNext) <=> v162(VarNext))) | (v128(constB78) <=> v162(constB78))),
% 9.69/7.22 inference(quant_inst,[status(thm)],[])).
% 9.69/7.22 tff(32957,plain,
% 9.69/7.22 (v128(constB78) <=> v162(constB78)),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[32956, 13])).
% 9.69/7.22 tff(32958,plain,
% 9.69/7.22 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB77, constB78)) | (v162(constB78) <=> v160(constB77)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB77, constB78)) | (v162(constB78) <=> v160(constB77)))),
% 9.69/7.22 inference(rewrite,[status(thm)],[])).
% 9.69/7.22 tff(32959,plain,
% 9.69/7.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB77, constB78)) | (v162(constB78) <=> v160(constB77)))),
% 9.69/7.22 inference(quant_inst,[status(thm)],[])).
% 9.69/7.22 tff(32960,plain,
% 9.69/7.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB77, constB78)) | (v162(constB78) <=> v160(constB77))),
% 9.69/7.22 inference(modus_ponens,[status(thm)],[32959, 32958])).
% 9.69/7.22 tff(32961,plain,
% 9.69/7.22 (v162(constB78) <=> v160(constB77)),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[32960, 6197, 70])).
% 9.69/7.22 tff(32962,plain,
% 9.69/7.22 ((~![VarCurr: $i] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB77) <=> (v163(constB77) | v164(constB77)))),
% 9.69/7.22 inference(quant_inst,[status(thm)],[])).
% 9.69/7.22 tff(32963,plain,
% 9.69/7.22 (v160(constB77) <=> (v163(constB77) | v164(constB77))),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[32962, 84])).
% 9.69/7.22 tff(32964,plain,
% 9.69/7.22 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB77) <=> (~((~v128(constB77)) | (~v139(constB77)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB77) <=> (~((~v128(constB77)) | (~v139(constB77))))))),
% 9.69/7.22 inference(rewrite,[status(thm)],[])).
% 9.69/7.22 tff(32965,plain,
% 9.69/7.22 ((v163(constB77) <=> (~((~v139(constB77)) | (~v128(constB77))))) <=> (v163(constB77) <=> (~((~v128(constB77)) | (~v139(constB77)))))),
% 9.69/7.22 inference(rewrite,[status(thm)],[])).
% 9.69/7.22 tff(32966,plain,
% 9.69/7.22 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB77) <=> (~((~v139(constB77)) | (~v128(constB77)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB77) <=> (~((~v128(constB77)) | (~v139(constB77))))))),
% 9.69/7.22 inference(monotonicity,[status(thm)],[32965])).
% 9.69/7.22 tff(32967,plain,
% 9.69/7.22 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB77) <=> (~((~v139(constB77)) | (~v128(constB77)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB77) <=> (~((~v128(constB77)) | (~v139(constB77))))))),
% 9.69/7.22 inference(transitivity,[status(thm)],[32966, 32964])).
% 9.69/7.22 tff(32968,plain,
% 9.69/7.22 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB77) <=> (~((~v139(constB77)) | (~v128(constB77)))))),
% 9.69/7.22 inference(quant_inst,[status(thm)],[])).
% 9.69/7.22 tff(32969,plain,
% 9.69/7.22 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB77) <=> (~((~v128(constB77)) | (~v139(constB77)))))),
% 9.69/7.22 inference(modus_ponens,[status(thm)],[32968, 32967])).
% 9.69/7.22 tff(32970,plain,
% 9.69/7.22 (v163(constB77) <=> (~((~v128(constB77)) | (~v139(constB77))))),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[32969, 171])).
% 9.69/7.22 tff(32971,plain,
% 9.69/7.22 ((~![VarCurr: $i] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB77)) <=> v140(constB77))),
% 9.69/7.22 inference(quant_inst,[status(thm)],[])).
% 9.69/7.22 tff(32972,plain,
% 9.69/7.22 ((~v139(constB77)) <=> v140(constB77)),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[32971, 203])).
% 9.69/7.22 tff(32973,plain,
% 9.69/7.22 ((~![VarCurr: $i] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB77) <=> (v141(constB77) | v26(constB77)))),
% 9.69/7.22 inference(quant_inst,[status(thm)],[])).
% 9.69/7.22 tff(32974,plain,
% 9.69/7.22 (v140(constB77) <=> (v141(constB77) | v26(constB77))),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[32973, 212])).
% 9.69/7.22 tff(32975,plain,
% 9.69/7.22 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB77) <=> (~((~v39(constB77)) | (~v9(constB77)))))),
% 9.69/7.22 inference(quant_inst,[status(thm)],[])).
% 9.69/7.22 tff(32976,plain,
% 9.69/7.22 (v141(constB77) <=> (~((~v39(constB77)) | (~v9(constB77))))),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[32975, 130])).
% 9.69/7.22 tff(32977,plain,
% 9.69/7.22 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB77, constB78)) | (v13(constB78) <=> v9(constB77)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB77, constB78)) | (v13(constB78) <=> v9(constB77)))),
% 9.69/7.22 inference(rewrite,[status(thm)],[])).
% 9.69/7.22 tff(32978,plain,
% 9.69/7.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB77, constB78)) | (v13(constB78) <=> v9(constB77)))),
% 9.69/7.22 inference(quant_inst,[status(thm)],[])).
% 9.69/7.22 tff(32979,plain,
% 9.69/7.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB77, constB78)) | (v13(constB78) <=> v9(constB77))),
% 9.69/7.22 inference(modus_ponens,[status(thm)],[32978, 32977])).
% 9.69/7.22 tff(32980,plain,
% 9.69/7.22 (v13(constB78) <=> v9(constB77)),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[32979, 6197, 226])).
% 9.69/7.22 tff(32981,plain,
% 9.69/7.22 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB78) <=> v13(constB78))),
% 9.69/7.22 inference(quant_inst,[status(thm)],[])).
% 9.69/7.22 tff(32982,plain,
% 9.69/7.22 (v6(constB78) <=> v13(constB78)),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[32981, 240])).
% 9.69/7.22 tff(32983,plain,
% 9.69/7.22 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB78)) <=> v6(constB78))),
% 9.69/7.22 inference(quant_inst,[status(thm)],[])).
% 9.69/7.22 tff(32984,plain,
% 9.69/7.22 ((~v21(constB78)) <=> v6(constB78)),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[32983, 249])).
% 9.69/7.22 tff(32985,plain,
% 9.69/7.22 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB78) <=> (v20(constB78) | v21(constB78)))),
% 9.69/7.22 inference(quant_inst,[status(thm)],[])).
% 9.69/7.22 tff(32986,plain,
% 9.69/7.22 (v19(constB78) <=> (v20(constB78) | v21(constB78))),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[32985, 258])).
% 9.69/7.22 tff(32987,plain,
% 9.69/7.22 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB78) <=> (~((~v19(constB78)) | (~v22(constB78)))))),
% 9.69/7.22 inference(quant_inst,[status(thm)],[])).
% 9.69/7.22 tff(32988,plain,
% 9.69/7.22 (v18(constB78) <=> (~((~v19(constB78)) | (~v22(constB78))))),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[32987, 270])).
% 9.69/7.22 tff(32989,plain,
% 9.69/7.22 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB78)) <=> v18(constB78))),
% 9.69/7.22 inference(quant_inst,[status(thm)],[])).
% 9.69/7.22 tff(32990,plain,
% 9.69/7.22 ((~v4(constB78)) <=> v18(constB78)),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[32989, 279])).
% 9.69/7.22 tff(32991,plain,
% 9.69/7.22 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB78)),
% 9.69/7.22 inference(quant_inst,[status(thm)],[])).
% 9.69/7.22 tff(32992,plain,
% 9.69/7.22 (v4(constB78)),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[32991, 288])).
% 9.69/7.22 tff(32993,plain,
% 9.69/7.22 ((~((~v4(constB78)) <=> v18(constB78))) | (~v4(constB78)) | (~v18(constB78))),
% 9.69/7.22 inference(tautology,[status(thm)],[])).
% 9.69/7.22 tff(32994,plain,
% 9.69/7.22 (~v18(constB78)),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[32993, 32992, 32990])).
% 9.69/7.22 tff(32995,plain,
% 9.69/7.22 ((~(v18(constB78) <=> (~((~v19(constB78)) | (~v22(constB78)))))) | v18(constB78) | ((~v19(constB78)) | (~v22(constB78)))),
% 9.69/7.22 inference(tautology,[status(thm)],[])).
% 9.69/7.22 tff(32996,plain,
% 9.69/7.22 ((~v19(constB78)) | (~v22(constB78))),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[32995, 32994, 32988])).
% 9.69/7.22 tff(32997,plain,
% 9.69/7.22 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB78) <=> (v1(constB78) | v6(constB78)))),
% 9.69/7.22 inference(quant_inst,[status(thm)],[])).
% 9.69/7.22 tff(32998,plain,
% 9.69/7.22 (v22(constB78) <=> (v1(constB78) | v6(constB78))),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[32997, 301])).
% 9.69/7.22 tff(32999,plain,
% 9.69/7.22 ((v1(constB78) | v6(constB78)) | (~v1(constB78))),
% 9.69/7.22 inference(tautology,[status(thm)],[])).
% 9.69/7.22 tff(33000,plain,
% 9.69/7.22 (v1(constB78) | v6(constB78)),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[32999, 6227])).
% 9.69/7.22 tff(33001,plain,
% 9.69/7.22 ((~(v22(constB78) <=> (v1(constB78) | v6(constB78)))) | v22(constB78) | (~(v1(constB78) | v6(constB78)))),
% 9.69/7.22 inference(tautology,[status(thm)],[])).
% 9.69/7.22 tff(33002,plain,
% 9.69/7.22 ((~(v22(constB78) <=> (v1(constB78) | v6(constB78)))) | v22(constB78)),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[33001, 33000])).
% 9.69/7.22 tff(33003,plain,
% 9.69/7.22 (v22(constB78)),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[33002, 32998])).
% 9.69/7.22 tff(33004,plain,
% 9.69/7.22 ((~((~v19(constB78)) | (~v22(constB78)))) | (~v19(constB78)) | (~v22(constB78))),
% 9.69/7.22 inference(tautology,[status(thm)],[])).
% 9.69/7.22 tff(33005,plain,
% 9.69/7.22 ((~((~v19(constB78)) | (~v22(constB78)))) | (~v19(constB78))),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[33004, 33003])).
% 9.69/7.22 tff(33006,plain,
% 9.69/7.22 (~v19(constB78)),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[33005, 32996])).
% 9.69/7.22 tff(33007,plain,
% 9.69/7.22 ((~(v19(constB78) <=> (v20(constB78) | v21(constB78)))) | v19(constB78) | (~(v20(constB78) | v21(constB78)))),
% 9.69/7.22 inference(tautology,[status(thm)],[])).
% 9.69/7.22 tff(33008,plain,
% 9.69/7.22 (~(v20(constB78) | v21(constB78))),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[33007, 33006, 32986])).
% 9.69/7.22 tff(33009,plain,
% 9.69/7.22 ((v20(constB78) | v21(constB78)) | (~v21(constB78))),
% 9.69/7.22 inference(tautology,[status(thm)],[])).
% 9.69/7.22 tff(33010,plain,
% 9.69/7.22 (~v21(constB78)),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[33009, 33008])).
% 9.69/7.22 tff(33011,plain,
% 9.69/7.22 ((~((~v21(constB78)) <=> v6(constB78))) | v21(constB78) | v6(constB78)),
% 9.69/7.22 inference(tautology,[status(thm)],[])).
% 9.69/7.22 tff(33012,plain,
% 9.69/7.22 (v6(constB78)),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[33011, 33010, 32984])).
% 9.69/7.22 tff(33013,plain,
% 9.69/7.22 ((~(v6(constB78) <=> v13(constB78))) | (~v6(constB78)) | v13(constB78)),
% 9.69/7.22 inference(tautology,[status(thm)],[])).
% 9.69/7.22 tff(33014,plain,
% 9.69/7.22 (v13(constB78)),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[33013, 33012, 32982])).
% 9.69/7.22 tff(33015,plain,
% 9.69/7.22 ((~(v13(constB78) <=> v9(constB77))) | (~v13(constB78)) | v9(constB77)),
% 9.69/7.22 inference(tautology,[status(thm)],[])).
% 9.69/7.22 tff(33016,plain,
% 9.69/7.22 (v9(constB77)),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[33015, 33014, 32980])).
% 9.69/7.22 tff(33017,plain,
% 9.69/7.22 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB77)) <=> v1(constB77))),
% 9.69/7.22 inference(quant_inst,[status(thm)],[])).
% 9.69/7.22 tff(33018,plain,
% 9.69/7.22 ((~v39(constB77)) <=> v1(constB77)),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[33017, 139])).
% 9.69/7.22 tff(33019,plain,
% 9.69/7.22 ((~((~v39(constB77)) <=> v1(constB77))) | v39(constB77) | v1(constB77)),
% 9.69/7.22 inference(tautology,[status(thm)],[])).
% 9.69/7.22 tff(33020,plain,
% 9.69/7.22 ((~((~v39(constB77)) <=> v1(constB77))) | v39(constB77)),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[33019, 6219])).
% 9.69/7.22 tff(33021,plain,
% 9.69/7.22 (v39(constB77)),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[33020, 33018])).
% 9.69/7.22 tff(33022,plain,
% 9.69/7.22 ((~((~v39(constB77)) | (~v9(constB77)))) | (~v39(constB77)) | (~v9(constB77))),
% 9.69/7.22 inference(tautology,[status(thm)],[])).
% 9.69/7.22 tff(33023,plain,
% 9.69/7.22 ((~((~v39(constB77)) | (~v9(constB77)))) | (~v9(constB77))),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[33022, 33021])).
% 9.69/7.22 tff(33024,plain,
% 9.69/7.22 (~((~v39(constB77)) | (~v9(constB77)))),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[33023, 33016])).
% 9.69/7.22 tff(33025,plain,
% 9.69/7.22 ((~(v141(constB77) <=> (~((~v39(constB77)) | (~v9(constB77)))))) | v141(constB77) | ((~v39(constB77)) | (~v9(constB77)))),
% 9.69/7.22 inference(tautology,[status(thm)],[])).
% 9.69/7.22 tff(33026,plain,
% 9.69/7.22 (v141(constB77)),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[33025, 33024, 32976])).
% 9.69/7.22 tff(33027,plain,
% 9.69/7.22 ((v141(constB77) | v26(constB77)) | (~v141(constB77))),
% 9.69/7.22 inference(tautology,[status(thm)],[])).
% 9.69/7.22 tff(33028,plain,
% 9.69/7.22 (v141(constB77) | v26(constB77)),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[33027, 33026])).
% 9.69/7.22 tff(33029,plain,
% 9.69/7.22 ((~(v140(constB77) <=> (v141(constB77) | v26(constB77)))) | v140(constB77) | (~(v141(constB77) | v26(constB77)))),
% 9.69/7.22 inference(tautology,[status(thm)],[])).
% 9.69/7.22 tff(33030,plain,
% 9.69/7.22 (v140(constB77)),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[33029, 33028, 32974])).
% 9.69/7.22 tff(33031,plain,
% 9.69/7.22 ((~((~v139(constB77)) <=> v140(constB77))) | (~v139(constB77)) | (~v140(constB77))),
% 9.69/7.22 inference(tautology,[status(thm)],[])).
% 9.69/7.22 tff(33032,plain,
% 9.69/7.22 (~v139(constB77)),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[33031, 33030, 32972])).
% 9.69/7.22 tff(33033,plain,
% 9.69/7.22 (((~v128(constB77)) | (~v139(constB77))) | v139(constB77)),
% 9.69/7.22 inference(tautology,[status(thm)],[])).
% 9.69/7.22 tff(33034,plain,
% 9.69/7.22 ((~v128(constB77)) | (~v139(constB77))),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[33033, 33032])).
% 9.69/7.22 tff(33035,plain,
% 9.69/7.22 ((~(v163(constB77) <=> (~((~v128(constB77)) | (~v139(constB77)))))) | (~v163(constB77)) | (~((~v128(constB77)) | (~v139(constB77))))),
% 9.69/7.22 inference(tautology,[status(thm)],[])).
% 9.69/7.22 tff(33036,plain,
% 9.69/7.22 (~v163(constB77)),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[33035, 33034, 32970])).
% 9.69/7.22 tff(33037,plain,
% 9.69/7.22 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB77) <=> (~((~v130(constB77)) | (~v154(constB77)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB77) <=> (~((~v130(constB77)) | (~v154(constB77))))))),
% 9.69/7.22 inference(rewrite,[status(thm)],[])).
% 9.69/7.22 tff(33038,plain,
% 9.69/7.22 ((v164(constB77) <=> (~((~v154(constB77)) | (~v130(constB77))))) <=> (v164(constB77) <=> (~((~v130(constB77)) | (~v154(constB77)))))),
% 9.69/7.22 inference(rewrite,[status(thm)],[])).
% 9.69/7.22 tff(33039,plain,
% 9.69/7.22 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB77) <=> (~((~v154(constB77)) | (~v130(constB77)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB77) <=> (~((~v130(constB77)) | (~v154(constB77))))))),
% 9.69/7.22 inference(monotonicity,[status(thm)],[33038])).
% 9.69/7.22 tff(33040,plain,
% 9.69/7.22 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB77) <=> (~((~v154(constB77)) | (~v130(constB77)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB77) <=> (~((~v130(constB77)) | (~v154(constB77))))))),
% 9.69/7.22 inference(transitivity,[status(thm)],[33039, 33037])).
% 9.69/7.22 tff(33041,plain,
% 9.69/7.22 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB77) <=> (~((~v154(constB77)) | (~v130(constB77)))))),
% 9.69/7.22 inference(quant_inst,[status(thm)],[])).
% 9.69/7.22 tff(33042,plain,
% 9.69/7.22 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB77) <=> (~((~v130(constB77)) | (~v154(constB77)))))),
% 9.69/7.22 inference(modus_ponens,[status(thm)],[33041, 33040])).
% 9.69/7.22 tff(33043,plain,
% 9.69/7.22 (v164(constB77) <=> (~((~v130(constB77)) | (~v154(constB77))))),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[33042, 96])).
% 9.69/7.22 tff(33044,plain,
% 9.69/7.22 ((~![VarNext: $i] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB77) <=> v152(constB77))),
% 9.69/7.22 inference(quant_inst,[status(thm)],[])).
% 9.69/7.22 tff(33045,plain,
% 9.69/7.22 (v130(constB77) <=> v152(constB77)),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[33044, 361])).
% 9.69/7.22 tff(33046,plain,
% 9.69/7.22 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB76, constB77)) | (v152(constB77) <=> v150(constB76)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB76, constB77)) | (v152(constB77) <=> v150(constB76)))),
% 9.69/7.22 inference(rewrite,[status(thm)],[])).
% 9.69/7.22 tff(33047,plain,
% 9.69/7.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB76, constB77)) | (v152(constB77) <=> v150(constB76)))),
% 9.69/7.22 inference(quant_inst,[status(thm)],[])).
% 9.69/7.22 tff(33048,plain,
% 9.69/7.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB76, constB77)) | (v152(constB77) <=> v150(constB76))),
% 9.69/7.22 inference(modus_ponens,[status(thm)],[33047, 33046])).
% 9.69/7.22 tff(33049,plain,
% 9.69/7.22 (v152(constB77) <=> v150(constB76)),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[33048, 6260, 373])).
% 9.69/7.22 tff(33050,plain,
% 9.69/7.22 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v153(VarCurr) | v155(VarCurr)))) | (v150(constB76) <=> (v153(constB76) | v155(constB76)))),
% 9.69/7.22 inference(quant_inst,[status(thm)],[])).
% 9.69/7.22 tff(33051,plain,
% 9.69/7.22 (v150(constB76) <=> (v153(constB76) | v155(constB76))),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[33050, 387])).
% 9.69/7.22 tff(33052,plain,
% 9.69/7.22 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB76) <=> (~((~v132(constB76)) | (~v154(constB76)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB76) <=> (~((~v132(constB76)) | (~v154(constB76))))))),
% 9.69/7.22 inference(rewrite,[status(thm)],[])).
% 9.69/7.22 tff(33053,plain,
% 9.69/7.22 ((v153(constB76) <=> (~((~v154(constB76)) | (~v132(constB76))))) <=> (v153(constB76) <=> (~((~v132(constB76)) | (~v154(constB76)))))),
% 9.69/7.22 inference(rewrite,[status(thm)],[])).
% 9.69/7.22 tff(33054,plain,
% 9.69/7.22 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB76) <=> (~((~v154(constB76)) | (~v132(constB76)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB76) <=> (~((~v132(constB76)) | (~v154(constB76))))))),
% 9.69/7.22 inference(monotonicity,[status(thm)],[33053])).
% 9.69/7.22 tff(33055,plain,
% 9.69/7.22 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB76) <=> (~((~v154(constB76)) | (~v132(constB76)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB76) <=> (~((~v132(constB76)) | (~v154(constB76))))))),
% 9.69/7.22 inference(transitivity,[status(thm)],[33054, 33052])).
% 9.69/7.22 tff(33056,plain,
% 9.69/7.22 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB76) <=> (~((~v154(constB76)) | (~v132(constB76)))))),
% 9.69/7.22 inference(quant_inst,[status(thm)],[])).
% 9.69/7.22 tff(33057,plain,
% 9.69/7.22 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB76) <=> (~((~v132(constB76)) | (~v154(constB76)))))),
% 9.69/7.22 inference(modus_ponens,[status(thm)],[33056, 33055])).
% 9.69/7.22 tff(33058,plain,
% 9.69/7.22 (v153(constB76) <=> (~((~v132(constB76)) | (~v154(constB76))))),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[33057, 399])).
% 9.69/7.22 tff(33059,plain,
% 9.69/7.22 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB76) <=> (~((~v141(constB76)) | (~v143(constB76)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB76) <=> (~((~v141(constB76)) | (~v143(constB76))))))),
% 9.69/7.22 inference(rewrite,[status(thm)],[])).
% 9.69/7.22 tff(33060,plain,
% 9.69/7.22 ((v154(constB76) <=> (~((~v143(constB76)) | (~v141(constB76))))) <=> (v154(constB76) <=> (~((~v141(constB76)) | (~v143(constB76)))))),
% 9.69/7.22 inference(rewrite,[status(thm)],[])).
% 9.69/7.22 tff(33061,plain,
% 9.69/7.22 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB76) <=> (~((~v143(constB76)) | (~v141(constB76)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB76) <=> (~((~v141(constB76)) | (~v143(constB76))))))),
% 9.69/7.22 inference(monotonicity,[status(thm)],[33060])).
% 9.69/7.22 tff(33062,plain,
% 9.69/7.22 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB76) <=> (~((~v143(constB76)) | (~v141(constB76)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB76) <=> (~((~v141(constB76)) | (~v143(constB76))))))),
% 9.69/7.22 inference(transitivity,[status(thm)],[33061, 33059])).
% 9.69/7.22 tff(33063,plain,
% 9.69/7.22 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB76) <=> (~((~v143(constB76)) | (~v141(constB76)))))),
% 9.69/7.22 inference(quant_inst,[status(thm)],[])).
% 9.69/7.22 tff(33064,plain,
% 9.69/7.22 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB76) <=> (~((~v141(constB76)) | (~v143(constB76)))))),
% 9.69/7.22 inference(modus_ponens,[status(thm)],[33063, 33062])).
% 9.69/7.22 tff(33065,plain,
% 9.69/7.22 (v154(constB76) <=> (~((~v141(constB76)) | (~v143(constB76))))),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[33064, 113])).
% 9.69/7.22 tff(33066,plain,
% 9.69/7.22 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB76) <=> (~((~v39(constB76)) | (~v9(constB76)))))),
% 9.69/7.22 inference(quant_inst,[status(thm)],[])).
% 9.69/7.22 tff(33067,plain,
% 9.69/7.22 (v141(constB76) <=> (~((~v39(constB76)) | (~v9(constB76))))),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[33066, 130])).
% 9.69/7.22 tff(33068,plain,
% 9.69/7.22 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB76)) <=> v1(constB76))),
% 9.69/7.22 inference(quant_inst,[status(thm)],[])).
% 9.69/7.22 tff(33069,plain,
% 9.69/7.22 ((~v39(constB76)) <=> v1(constB76)),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[33068, 139])).
% 9.69/7.22 tff(33070,plain,
% 9.69/7.22 ((~((~v39(constB76)) <=> v1(constB76))) | (~v39(constB76)) | (~v1(constB76))),
% 9.69/7.22 inference(tautology,[status(thm)],[])).
% 9.69/7.22 tff(33071,plain,
% 9.69/7.22 ((~((~v39(constB76)) <=> v1(constB76))) | (~v39(constB76))),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[33070, 6322])).
% 9.69/7.22 tff(33072,plain,
% 9.69/7.22 (~v39(constB76)),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[33071, 33069])).
% 9.69/7.22 tff(33073,plain,
% 9.69/7.22 (((~v39(constB76)) | (~v9(constB76))) | v39(constB76)),
% 9.69/7.22 inference(tautology,[status(thm)],[])).
% 9.69/7.22 tff(33074,plain,
% 9.69/7.22 ((~v39(constB76)) | (~v9(constB76))),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[33073, 33072])).
% 9.69/7.22 tff(33075,plain,
% 9.69/7.22 ((~(v141(constB76) <=> (~((~v39(constB76)) | (~v9(constB76)))))) | (~v141(constB76)) | (~((~v39(constB76)) | (~v9(constB76))))),
% 9.69/7.22 inference(tautology,[status(thm)],[])).
% 9.69/7.22 tff(33076,plain,
% 9.69/7.22 ((~(v141(constB76) <=> (~((~v39(constB76)) | (~v9(constB76)))))) | (~v141(constB76))),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[33075, 33074])).
% 9.69/7.22 tff(33077,plain,
% 9.69/7.22 (~v141(constB76)),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[33076, 33067])).
% 9.69/7.22 tff(33078,plain,
% 9.69/7.22 (((~v141(constB76)) | (~v143(constB76))) | v141(constB76)),
% 9.69/7.22 inference(tautology,[status(thm)],[])).
% 9.69/7.22 tff(33079,plain,
% 9.69/7.22 ((~v141(constB76)) | (~v143(constB76))),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[33078, 33077])).
% 9.69/7.22 tff(33080,plain,
% 9.69/7.22 ((~(v154(constB76) <=> (~((~v141(constB76)) | (~v143(constB76)))))) | (~v154(constB76)) | (~((~v141(constB76)) | (~v143(constB76))))),
% 9.69/7.22 inference(tautology,[status(thm)],[])).
% 9.69/7.22 tff(33081,plain,
% 9.69/7.22 ((~(v154(constB76) <=> (~((~v141(constB76)) | (~v143(constB76)))))) | (~v154(constB76))),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[33080, 33079])).
% 9.69/7.22 tff(33082,plain,
% 9.69/7.22 (~v154(constB76)),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[33081, 33065])).
% 9.69/7.22 tff(33083,plain,
% 9.69/7.22 (((~v132(constB76)) | (~v154(constB76))) | v154(constB76)),
% 9.69/7.22 inference(tautology,[status(thm)],[])).
% 9.69/7.22 tff(33084,plain,
% 9.69/7.22 ((~v132(constB76)) | (~v154(constB76))),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[33083, 33082])).
% 9.69/7.22 tff(33085,plain,
% 9.69/7.22 ((~(v153(constB76) <=> (~((~v132(constB76)) | (~v154(constB76)))))) | (~v153(constB76)) | (~((~v132(constB76)) | (~v154(constB76))))),
% 9.69/7.22 inference(tautology,[status(thm)],[])).
% 9.69/7.22 tff(33086,plain,
% 9.69/7.22 (~v153(constB76)),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[33085, 33084, 33058])).
% 9.69/7.22 tff(33087,plain,
% 9.69/7.22 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB76) <=> (~((~v130(constB76)) | (~v139(constB76)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB76) <=> (~((~v130(constB76)) | (~v139(constB76))))))),
% 9.69/7.22 inference(rewrite,[status(thm)],[])).
% 9.69/7.22 tff(33088,plain,
% 9.69/7.22 ((v155(constB76) <=> (~((~v139(constB76)) | (~v130(constB76))))) <=> (v155(constB76) <=> (~((~v130(constB76)) | (~v139(constB76)))))),
% 9.69/7.22 inference(rewrite,[status(thm)],[])).
% 9.69/7.22 tff(33089,plain,
% 9.69/7.22 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB76) <=> (~((~v139(constB76)) | (~v130(constB76)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB76) <=> (~((~v130(constB76)) | (~v139(constB76))))))),
% 9.69/7.22 inference(monotonicity,[status(thm)],[33088])).
% 9.69/7.22 tff(33090,plain,
% 9.69/7.22 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB76) <=> (~((~v139(constB76)) | (~v130(constB76)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB76) <=> (~((~v130(constB76)) | (~v139(constB76))))))),
% 9.69/7.22 inference(transitivity,[status(thm)],[33089, 33087])).
% 9.69/7.22 tff(33091,plain,
% 9.69/7.22 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB76) <=> (~((~v139(constB76)) | (~v130(constB76)))))),
% 9.69/7.22 inference(quant_inst,[status(thm)],[])).
% 9.69/7.22 tff(33092,plain,
% 9.69/7.22 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB76) <=> (~((~v130(constB76)) | (~v139(constB76)))))),
% 9.69/7.22 inference(modus_ponens,[status(thm)],[33091, 33090])).
% 9.69/7.22 tff(33093,plain,
% 9.69/7.22 (v155(constB76) <=> (~((~v130(constB76)) | (~v139(constB76))))),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[33092, 447])).
% 9.69/7.22 tff(33094,plain,
% 9.69/7.22 ((~![VarNext: $i] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB76) <=> v152(constB76))),
% 9.69/7.22 inference(quant_inst,[status(thm)],[])).
% 9.69/7.22 tff(33095,plain,
% 9.69/7.22 (v130(constB76) <=> v152(constB76)),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[33094, 361])).
% 9.69/7.22 tff(33096,plain,
% 9.69/7.22 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB75, constB76)) | (v152(constB76) <=> v150(constB75)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB75, constB76)) | (v152(constB76) <=> v150(constB75)))),
% 9.69/7.22 inference(rewrite,[status(thm)],[])).
% 9.69/7.22 tff(33097,plain,
% 9.69/7.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB75, constB76)) | (v152(constB76) <=> v150(constB75)))),
% 9.69/7.22 inference(quant_inst,[status(thm)],[])).
% 9.69/7.22 tff(33098,plain,
% 9.69/7.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB75, constB76)) | (v152(constB76) <=> v150(constB75))),
% 9.69/7.22 inference(modus_ponens,[status(thm)],[33097, 33096])).
% 9.69/7.22 tff(33099,plain,
% 9.69/7.22 (v152(constB76) <=> v150(constB75)),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[33098, 6292, 373])).
% 9.69/7.22 tff(33100,plain,
% 9.69/7.22 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v153(VarCurr) | v155(VarCurr)))) | (v150(constB75) <=> (v153(constB75) | v155(constB75)))),
% 9.69/7.22 inference(quant_inst,[status(thm)],[])).
% 9.69/7.22 tff(33101,plain,
% 9.69/7.22 (v150(constB75) <=> (v153(constB75) | v155(constB75))),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[33100, 387])).
% 9.69/7.22 tff(33102,plain,
% 9.69/7.22 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB75) <=> (~((~v130(constB75)) | (~v139(constB75)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB75) <=> (~((~v130(constB75)) | (~v139(constB75))))))),
% 9.69/7.22 inference(rewrite,[status(thm)],[])).
% 9.69/7.22 tff(33103,plain,
% 9.69/7.22 ((v155(constB75) <=> (~((~v139(constB75)) | (~v130(constB75))))) <=> (v155(constB75) <=> (~((~v130(constB75)) | (~v139(constB75)))))),
% 9.69/7.22 inference(rewrite,[status(thm)],[])).
% 9.69/7.22 tff(33104,plain,
% 9.69/7.22 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB75) <=> (~((~v139(constB75)) | (~v130(constB75)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB75) <=> (~((~v130(constB75)) | (~v139(constB75))))))),
% 9.69/7.22 inference(monotonicity,[status(thm)],[33103])).
% 9.69/7.22 tff(33105,plain,
% 9.69/7.22 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB75) <=> (~((~v139(constB75)) | (~v130(constB75)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB75) <=> (~((~v130(constB75)) | (~v139(constB75))))))),
% 9.69/7.22 inference(transitivity,[status(thm)],[33104, 33102])).
% 9.69/7.22 tff(33106,plain,
% 9.69/7.22 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB75) <=> (~((~v139(constB75)) | (~v130(constB75)))))),
% 9.69/7.22 inference(quant_inst,[status(thm)],[])).
% 9.69/7.22 tff(33107,plain,
% 9.69/7.22 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB75) <=> (~((~v130(constB75)) | (~v139(constB75)))))),
% 9.69/7.22 inference(modus_ponens,[status(thm)],[33106, 33105])).
% 9.69/7.22 tff(33108,plain,
% 9.69/7.22 (v155(constB75) <=> (~((~v130(constB75)) | (~v139(constB75))))),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[33107, 447])).
% 9.69/7.22 tff(33109,plain,
% 9.69/7.22 ((~![VarCurr: $i] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB75)) <=> v140(constB75))),
% 9.69/7.22 inference(quant_inst,[status(thm)],[])).
% 9.69/7.22 tff(33110,plain,
% 9.69/7.22 ((~v139(constB75)) <=> v140(constB75)),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[33109, 203])).
% 9.69/7.22 tff(33111,plain,
% 9.69/7.22 ((~![VarCurr: $i] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB75) <=> (v141(constB75) | v26(constB75)))),
% 9.69/7.22 inference(quant_inst,[status(thm)],[])).
% 9.69/7.22 tff(33112,plain,
% 9.69/7.22 (v140(constB75) <=> (v141(constB75) | v26(constB75))),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[33111, 212])).
% 9.69/7.22 tff(33113,plain,
% 9.69/7.22 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB75) <=> (~((~v39(constB75)) | (~v9(constB75)))))),
% 9.69/7.22 inference(quant_inst,[status(thm)],[])).
% 9.69/7.22 tff(33114,plain,
% 9.69/7.22 (v141(constB75) <=> (~((~v39(constB75)) | (~v9(constB75))))),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[33113, 130])).
% 9.69/7.22 tff(33115,plain,
% 9.69/7.22 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB75, constB76)) | (v13(constB76) <=> v9(constB75)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB75, constB76)) | (v13(constB76) <=> v9(constB75)))),
% 9.69/7.22 inference(rewrite,[status(thm)],[])).
% 9.69/7.22 tff(33116,plain,
% 9.69/7.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB75, constB76)) | (v13(constB76) <=> v9(constB75)))),
% 9.69/7.22 inference(quant_inst,[status(thm)],[])).
% 9.69/7.22 tff(33117,plain,
% 9.69/7.22 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB75, constB76)) | (v13(constB76) <=> v9(constB75))),
% 9.69/7.22 inference(modus_ponens,[status(thm)],[33116, 33115])).
% 9.69/7.22 tff(33118,plain,
% 9.69/7.22 (v13(constB76) <=> v9(constB75)),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[33117, 6292, 226])).
% 9.69/7.22 tff(33119,plain,
% 9.69/7.22 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB76) <=> v13(constB76))),
% 9.69/7.22 inference(quant_inst,[status(thm)],[])).
% 9.69/7.22 tff(33120,plain,
% 9.69/7.22 (v6(constB76) <=> v13(constB76)),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[33119, 240])).
% 9.69/7.22 tff(33121,plain,
% 9.69/7.22 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB76)) <=> v6(constB76))),
% 9.69/7.22 inference(quant_inst,[status(thm)],[])).
% 9.69/7.22 tff(33122,plain,
% 9.69/7.22 ((~v21(constB76)) <=> v6(constB76)),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[33121, 249])).
% 9.69/7.22 tff(33123,plain,
% 9.69/7.22 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB76) <=> (v20(constB76) | v21(constB76)))),
% 9.69/7.22 inference(quant_inst,[status(thm)],[])).
% 9.69/7.22 tff(33124,plain,
% 9.69/7.22 (v19(constB76) <=> (v20(constB76) | v21(constB76))),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[33123, 258])).
% 9.69/7.22 tff(33125,plain,
% 9.69/7.22 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB76) <=> (~((~v19(constB76)) | (~v22(constB76)))))),
% 9.69/7.22 inference(quant_inst,[status(thm)],[])).
% 9.69/7.22 tff(33126,plain,
% 9.69/7.22 (v18(constB76) <=> (~((~v19(constB76)) | (~v22(constB76))))),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[33125, 270])).
% 9.69/7.22 tff(33127,plain,
% 9.69/7.22 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB76)) <=> v18(constB76))),
% 9.69/7.22 inference(quant_inst,[status(thm)],[])).
% 9.69/7.22 tff(33128,plain,
% 9.69/7.22 ((~v4(constB76)) <=> v18(constB76)),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[33127, 279])).
% 9.69/7.22 tff(33129,plain,
% 9.69/7.22 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB76)),
% 9.69/7.22 inference(quant_inst,[status(thm)],[])).
% 9.69/7.22 tff(33130,plain,
% 9.69/7.22 (v4(constB76)),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[33129, 288])).
% 9.69/7.22 tff(33131,plain,
% 9.69/7.22 ((~((~v4(constB76)) <=> v18(constB76))) | (~v4(constB76)) | (~v18(constB76))),
% 9.69/7.22 inference(tautology,[status(thm)],[])).
% 9.69/7.22 tff(33132,plain,
% 9.69/7.22 (~v18(constB76)),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[33131, 33130, 33128])).
% 9.69/7.22 tff(33133,plain,
% 9.69/7.22 ((~(v18(constB76) <=> (~((~v19(constB76)) | (~v22(constB76)))))) | v18(constB76) | ((~v19(constB76)) | (~v22(constB76)))),
% 9.69/7.22 inference(tautology,[status(thm)],[])).
% 9.69/7.22 tff(33134,plain,
% 9.69/7.22 ((~v19(constB76)) | (~v22(constB76))),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[33133, 33132, 33126])).
% 9.69/7.22 tff(33135,plain,
% 9.69/7.22 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB76) <=> (v1(constB76) | v6(constB76)))),
% 9.69/7.22 inference(quant_inst,[status(thm)],[])).
% 9.69/7.22 tff(33136,plain,
% 9.69/7.22 (v22(constB76) <=> (v1(constB76) | v6(constB76))),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[33135, 301])).
% 9.69/7.22 tff(33137,plain,
% 9.69/7.22 ((v1(constB76) | v6(constB76)) | (~v1(constB76))),
% 9.69/7.22 inference(tautology,[status(thm)],[])).
% 9.69/7.22 tff(33138,plain,
% 9.69/7.22 (v1(constB76) | v6(constB76)),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[33137, 6322])).
% 9.69/7.22 tff(33139,plain,
% 9.69/7.22 ((~(v22(constB76) <=> (v1(constB76) | v6(constB76)))) | v22(constB76) | (~(v1(constB76) | v6(constB76)))),
% 9.69/7.22 inference(tautology,[status(thm)],[])).
% 9.69/7.22 tff(33140,plain,
% 9.69/7.22 ((~(v22(constB76) <=> (v1(constB76) | v6(constB76)))) | v22(constB76)),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[33139, 33138])).
% 9.69/7.22 tff(33141,plain,
% 9.69/7.22 (v22(constB76)),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[33140, 33136])).
% 9.69/7.22 tff(33142,plain,
% 9.69/7.22 ((~((~v19(constB76)) | (~v22(constB76)))) | (~v19(constB76)) | (~v22(constB76))),
% 9.69/7.22 inference(tautology,[status(thm)],[])).
% 9.69/7.22 tff(33143,plain,
% 9.69/7.22 ((~((~v19(constB76)) | (~v22(constB76)))) | (~v19(constB76))),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[33142, 33141])).
% 9.69/7.22 tff(33144,plain,
% 9.69/7.22 (~v19(constB76)),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[33143, 33134])).
% 9.69/7.22 tff(33145,plain,
% 9.69/7.22 ((~(v19(constB76) <=> (v20(constB76) | v21(constB76)))) | v19(constB76) | (~(v20(constB76) | v21(constB76)))),
% 9.69/7.22 inference(tautology,[status(thm)],[])).
% 9.69/7.22 tff(33146,plain,
% 9.69/7.22 (~(v20(constB76) | v21(constB76))),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[33145, 33144, 33124])).
% 9.69/7.22 tff(33147,plain,
% 9.69/7.22 ((v20(constB76) | v21(constB76)) | (~v21(constB76))),
% 9.69/7.22 inference(tautology,[status(thm)],[])).
% 9.69/7.22 tff(33148,plain,
% 9.69/7.22 (~v21(constB76)),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[33147, 33146])).
% 9.69/7.22 tff(33149,plain,
% 9.69/7.22 ((~((~v21(constB76)) <=> v6(constB76))) | v21(constB76) | v6(constB76)),
% 9.69/7.22 inference(tautology,[status(thm)],[])).
% 9.69/7.22 tff(33150,plain,
% 9.69/7.22 (v6(constB76)),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[33149, 33148, 33122])).
% 9.69/7.22 tff(33151,plain,
% 9.69/7.22 ((~(v6(constB76) <=> v13(constB76))) | (~v6(constB76)) | v13(constB76)),
% 9.69/7.22 inference(tautology,[status(thm)],[])).
% 9.69/7.22 tff(33152,plain,
% 9.69/7.22 (v13(constB76)),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[33151, 33150, 33120])).
% 9.69/7.22 tff(33153,plain,
% 9.69/7.22 ((~(v13(constB76) <=> v9(constB75))) | (~v13(constB76)) | v9(constB75)),
% 9.69/7.22 inference(tautology,[status(thm)],[])).
% 9.69/7.22 tff(33154,plain,
% 9.69/7.22 (v9(constB75)),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[33153, 33152, 33118])).
% 9.69/7.22 tff(33155,plain,
% 9.69/7.22 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB75)) <=> v1(constB75))),
% 9.69/7.22 inference(quant_inst,[status(thm)],[])).
% 9.69/7.22 tff(33156,plain,
% 9.69/7.22 ((~v39(constB75)) <=> v1(constB75)),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[33155, 139])).
% 9.69/7.22 tff(33157,plain,
% 9.69/7.22 ((~((~v39(constB75)) <=> v1(constB75))) | v39(constB75) | v1(constB75)),
% 9.69/7.22 inference(tautology,[status(thm)],[])).
% 9.69/7.22 tff(33158,plain,
% 9.69/7.22 ((~((~v39(constB75)) <=> v1(constB75))) | v39(constB75)),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[33157, 6314])).
% 9.69/7.22 tff(33159,plain,
% 9.69/7.22 (v39(constB75)),
% 9.69/7.22 inference(unit_resolution,[status(thm)],[33158, 33156])).
% 9.69/7.23 tff(33160,plain,
% 9.69/7.23 ((~((~v39(constB75)) | (~v9(constB75)))) | (~v39(constB75)) | (~v9(constB75))),
% 9.69/7.23 inference(tautology,[status(thm)],[])).
% 9.69/7.23 tff(33161,plain,
% 9.69/7.23 ((~((~v39(constB75)) | (~v9(constB75)))) | (~v9(constB75))),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33160, 33159])).
% 9.69/7.23 tff(33162,plain,
% 9.69/7.23 (~((~v39(constB75)) | (~v9(constB75)))),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33161, 33154])).
% 9.69/7.23 tff(33163,plain,
% 9.69/7.23 ((~(v141(constB75) <=> (~((~v39(constB75)) | (~v9(constB75)))))) | v141(constB75) | ((~v39(constB75)) | (~v9(constB75)))),
% 9.69/7.23 inference(tautology,[status(thm)],[])).
% 9.69/7.23 tff(33164,plain,
% 9.69/7.23 (v141(constB75)),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33163, 33162, 33114])).
% 9.69/7.23 tff(33165,plain,
% 9.69/7.23 ((v141(constB75) | v26(constB75)) | (~v141(constB75))),
% 9.69/7.23 inference(tautology,[status(thm)],[])).
% 9.69/7.23 tff(33166,plain,
% 9.69/7.23 (v141(constB75) | v26(constB75)),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33165, 33164])).
% 9.69/7.23 tff(33167,plain,
% 9.69/7.23 ((~(v140(constB75) <=> (v141(constB75) | v26(constB75)))) | v140(constB75) | (~(v141(constB75) | v26(constB75)))),
% 9.69/7.23 inference(tautology,[status(thm)],[])).
% 9.69/7.23 tff(33168,plain,
% 9.69/7.23 (v140(constB75)),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33167, 33166, 33112])).
% 9.69/7.23 tff(33169,plain,
% 9.69/7.23 ((~((~v139(constB75)) <=> v140(constB75))) | (~v139(constB75)) | (~v140(constB75))),
% 9.69/7.23 inference(tautology,[status(thm)],[])).
% 9.69/7.23 tff(33170,plain,
% 9.69/7.23 (~v139(constB75)),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33169, 33168, 33110])).
% 9.69/7.23 tff(33171,plain,
% 9.69/7.23 (((~v130(constB75)) | (~v139(constB75))) | v139(constB75)),
% 9.69/7.23 inference(tautology,[status(thm)],[])).
% 9.69/7.23 tff(33172,plain,
% 9.69/7.23 ((~v130(constB75)) | (~v139(constB75))),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33171, 33170])).
% 9.69/7.23 tff(33173,plain,
% 9.69/7.23 ((~(v155(constB75) <=> (~((~v130(constB75)) | (~v139(constB75)))))) | (~v155(constB75)) | (~((~v130(constB75)) | (~v139(constB75))))),
% 9.69/7.23 inference(tautology,[status(thm)],[])).
% 9.69/7.23 tff(33174,plain,
% 9.69/7.23 (~v155(constB75)),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33173, 33172, 33108])).
% 9.69/7.23 tff(33175,plain,
% 9.69/7.23 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB75) <=> (~((~v132(constB75)) | (~v154(constB75)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB75) <=> (~((~v132(constB75)) | (~v154(constB75))))))),
% 9.69/7.23 inference(rewrite,[status(thm)],[])).
% 9.69/7.23 tff(33176,plain,
% 9.69/7.23 ((v153(constB75) <=> (~((~v154(constB75)) | (~v132(constB75))))) <=> (v153(constB75) <=> (~((~v132(constB75)) | (~v154(constB75)))))),
% 9.69/7.23 inference(rewrite,[status(thm)],[])).
% 9.69/7.23 tff(33177,plain,
% 9.69/7.23 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB75) <=> (~((~v154(constB75)) | (~v132(constB75)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB75) <=> (~((~v132(constB75)) | (~v154(constB75))))))),
% 9.69/7.23 inference(monotonicity,[status(thm)],[33176])).
% 9.69/7.23 tff(33178,plain,
% 9.69/7.23 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB75) <=> (~((~v154(constB75)) | (~v132(constB75)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB75) <=> (~((~v132(constB75)) | (~v154(constB75))))))),
% 9.69/7.23 inference(transitivity,[status(thm)],[33177, 33175])).
% 9.69/7.23 tff(33179,plain,
% 9.69/7.23 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB75) <=> (~((~v154(constB75)) | (~v132(constB75)))))),
% 9.69/7.23 inference(quant_inst,[status(thm)],[])).
% 9.69/7.23 tff(33180,plain,
% 9.69/7.23 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB75) <=> (~((~v132(constB75)) | (~v154(constB75)))))),
% 9.69/7.23 inference(modus_ponens,[status(thm)],[33179, 33178])).
% 9.69/7.23 tff(33181,plain,
% 9.69/7.23 (v153(constB75) <=> (~((~v132(constB75)) | (~v154(constB75))))),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33180, 399])).
% 9.69/7.23 tff(33182,plain,
% 9.69/7.23 ((~![VarNext: $i] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB75) <=> v137(constB75))),
% 9.69/7.23 inference(quant_inst,[status(thm)],[])).
% 9.69/7.23 tff(33183,plain,
% 9.69/7.23 (v132(constB75) <=> v137(constB75)),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33182, 558])).
% 9.69/7.23 tff(33184,plain,
% 9.69/7.23 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB74, constB75)) | (v137(constB75) <=> v135(constB74)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB74, constB75)) | (v137(constB75) <=> v135(constB74)))),
% 9.69/7.23 inference(rewrite,[status(thm)],[])).
% 9.69/7.23 tff(33185,plain,
% 9.69/7.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB74, constB75)) | (v137(constB75) <=> v135(constB74)))),
% 9.69/7.23 inference(quant_inst,[status(thm)],[])).
% 9.69/7.23 tff(33186,plain,
% 9.69/7.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB74, constB75)) | (v137(constB75) <=> v135(constB74))),
% 9.69/7.23 inference(modus_ponens,[status(thm)],[33185, 33184])).
% 9.69/7.23 tff(33187,plain,
% 9.69/7.23 (v137(constB75) <=> v135(constB74)),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33186, 6357, 570])).
% 9.69/7.23 tff(33188,plain,
% 9.69/7.23 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB74) <=> (v138(constB74) | v142(constB74)))),
% 9.69/7.23 inference(quant_inst,[status(thm)],[])).
% 9.69/7.23 tff(33189,plain,
% 9.69/7.23 (v135(constB74) <=> (v138(constB74) | v142(constB74))),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33188, 584])).
% 9.69/7.23 tff(33190,plain,
% 9.69/7.23 ((~![VarCurr: $i] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB74) <=> (~((~v143(constB74)) | (~v144(constB74)))))),
% 9.69/7.23 inference(quant_inst,[status(thm)],[])).
% 9.69/7.23 tff(33191,plain,
% 9.69/7.23 (v142(constB74) <=> (~((~v143(constB74)) | (~v144(constB74))))),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33190, 596])).
% 9.69/7.23 tff(33192,plain,
% 9.69/7.23 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB74) <=> (~((~v141(constB74)) | (~v145(constB74)))))),
% 9.69/7.23 inference(quant_inst,[status(thm)],[])).
% 9.69/7.23 tff(33193,plain,
% 9.69/7.23 (v144(constB74) <=> (~((~v141(constB74)) | (~v145(constB74))))),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33192, 608])).
% 9.69/7.23 tff(33194,plain,
% 9.69/7.23 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB74) <=> (~((~v39(constB74)) | (~v9(constB74)))))),
% 9.69/7.23 inference(quant_inst,[status(thm)],[])).
% 9.69/7.23 tff(33195,plain,
% 9.69/7.23 (v141(constB74) <=> (~((~v39(constB74)) | (~v9(constB74))))),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33194, 130])).
% 9.69/7.23 tff(33196,plain,
% 9.69/7.23 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB74)) <=> v1(constB74))),
% 9.69/7.23 inference(quant_inst,[status(thm)],[])).
% 9.69/7.23 tff(33197,plain,
% 9.69/7.23 ((~v39(constB74)) <=> v1(constB74)),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33196, 139])).
% 9.69/7.23 tff(33198,plain,
% 9.69/7.23 ((~((~v39(constB74)) <=> v1(constB74))) | (~v39(constB74)) | (~v1(constB74))),
% 9.69/7.23 inference(tautology,[status(thm)],[])).
% 9.69/7.23 tff(33199,plain,
% 9.69/7.23 ((~((~v39(constB74)) <=> v1(constB74))) | (~v39(constB74))),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33198, 6419])).
% 9.69/7.23 tff(33200,plain,
% 9.69/7.23 (~v39(constB74)),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33199, 33197])).
% 9.69/7.23 tff(33201,plain,
% 9.69/7.23 (((~v39(constB74)) | (~v9(constB74))) | v39(constB74)),
% 9.69/7.23 inference(tautology,[status(thm)],[])).
% 9.69/7.23 tff(33202,plain,
% 9.69/7.23 ((~v39(constB74)) | (~v9(constB74))),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33201, 33200])).
% 9.69/7.23 tff(33203,plain,
% 9.69/7.23 ((~(v141(constB74) <=> (~((~v39(constB74)) | (~v9(constB74)))))) | (~v141(constB74)) | (~((~v39(constB74)) | (~v9(constB74))))),
% 9.69/7.23 inference(tautology,[status(thm)],[])).
% 9.69/7.23 tff(33204,plain,
% 9.69/7.23 ((~(v141(constB74) <=> (~((~v39(constB74)) | (~v9(constB74)))))) | (~v141(constB74))),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33203, 33202])).
% 9.69/7.23 tff(33205,plain,
% 9.69/7.23 (~v141(constB74)),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33204, 33195])).
% 9.69/7.23 tff(33206,plain,
% 9.69/7.23 (((~v141(constB74)) | (~v145(constB74))) | v141(constB74)),
% 9.69/7.23 inference(tautology,[status(thm)],[])).
% 9.69/7.23 tff(33207,plain,
% 9.69/7.23 ((~v141(constB74)) | (~v145(constB74))),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33206, 33205])).
% 9.69/7.23 tff(33208,plain,
% 9.69/7.23 ((~(v144(constB74) <=> (~((~v141(constB74)) | (~v145(constB74)))))) | (~v144(constB74)) | (~((~v141(constB74)) | (~v145(constB74))))),
% 9.69/7.23 inference(tautology,[status(thm)],[])).
% 9.69/7.23 tff(33209,plain,
% 9.69/7.23 ((~(v144(constB74) <=> (~((~v141(constB74)) | (~v145(constB74)))))) | (~v144(constB74))),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33208, 33207])).
% 9.69/7.23 tff(33210,plain,
% 9.69/7.23 (~v144(constB74)),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33209, 33193])).
% 9.69/7.23 tff(33211,plain,
% 9.69/7.23 (((~v143(constB74)) | (~v144(constB74))) | v144(constB74)),
% 9.69/7.23 inference(tautology,[status(thm)],[])).
% 9.69/7.23 tff(33212,plain,
% 9.69/7.23 ((~v143(constB74)) | (~v144(constB74))),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33211, 33210])).
% 9.69/7.23 tff(33213,plain,
% 9.69/7.23 ((~(v142(constB74) <=> (~((~v143(constB74)) | (~v144(constB74)))))) | (~v142(constB74)) | (~((~v143(constB74)) | (~v144(constB74))))),
% 9.69/7.23 inference(tautology,[status(thm)],[])).
% 9.69/7.23 tff(33214,plain,
% 9.69/7.23 (~v142(constB74)),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33213, 33212, 33191])).
% 9.69/7.23 tff(33215,plain,
% 9.69/7.23 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB74) <=> (~((~v132(constB74)) | (~v139(constB74)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB74) <=> (~((~v132(constB74)) | (~v139(constB74))))))),
% 9.69/7.23 inference(rewrite,[status(thm)],[])).
% 9.69/7.23 tff(33216,plain,
% 9.69/7.23 ((v138(constB74) <=> (~((~v139(constB74)) | (~v132(constB74))))) <=> (v138(constB74) <=> (~((~v132(constB74)) | (~v139(constB74)))))),
% 9.69/7.23 inference(rewrite,[status(thm)],[])).
% 9.69/7.23 tff(33217,plain,
% 9.69/7.23 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB74) <=> (~((~v139(constB74)) | (~v132(constB74)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB74) <=> (~((~v132(constB74)) | (~v139(constB74))))))),
% 9.69/7.23 inference(monotonicity,[status(thm)],[33216])).
% 9.69/7.23 tff(33218,plain,
% 9.69/7.23 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB74) <=> (~((~v139(constB74)) | (~v132(constB74)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB74) <=> (~((~v132(constB74)) | (~v139(constB74))))))),
% 9.69/7.23 inference(transitivity,[status(thm)],[33217, 33215])).
% 9.69/7.23 tff(33219,plain,
% 9.69/7.23 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB74) <=> (~((~v139(constB74)) | (~v132(constB74)))))),
% 9.69/7.23 inference(quant_inst,[status(thm)],[])).
% 9.69/7.23 tff(33220,plain,
% 9.69/7.23 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB74) <=> (~((~v132(constB74)) | (~v139(constB74)))))),
% 9.69/7.23 inference(modus_ponens,[status(thm)],[33219, 33218])).
% 9.69/7.23 tff(33221,plain,
% 9.69/7.23 (v138(constB74) <=> (~((~v132(constB74)) | (~v139(constB74))))),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33220, 644])).
% 9.69/7.23 tff(33222,plain,
% 9.69/7.23 ((~![VarNext: $i] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB74) <=> v137(constB74))),
% 9.69/7.23 inference(quant_inst,[status(thm)],[])).
% 9.69/7.23 tff(33223,plain,
% 9.69/7.23 (v132(constB74) <=> v137(constB74)),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33222, 558])).
% 9.69/7.23 tff(33224,plain,
% 9.69/7.23 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB73, constB74)) | (v137(constB74) <=> v135(constB73)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB73, constB74)) | (v137(constB74) <=> v135(constB73)))),
% 9.69/7.23 inference(rewrite,[status(thm)],[])).
% 9.69/7.23 tff(33225,plain,
% 9.69/7.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB73, constB74)) | (v137(constB74) <=> v135(constB73)))),
% 9.69/7.23 inference(quant_inst,[status(thm)],[])).
% 9.69/7.23 tff(33226,plain,
% 9.69/7.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB73, constB74)) | (v137(constB74) <=> v135(constB73))),
% 9.69/7.23 inference(modus_ponens,[status(thm)],[33225, 33224])).
% 9.69/7.23 tff(33227,plain,
% 9.69/7.23 (v137(constB74) <=> v135(constB73)),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33226, 6389, 570])).
% 9.69/7.23 tff(33228,plain,
% 9.69/7.23 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB73) <=> (v138(constB73) | v142(constB73)))),
% 9.69/7.23 inference(quant_inst,[status(thm)],[])).
% 9.69/7.23 tff(33229,plain,
% 9.69/7.23 (v135(constB73) <=> (v138(constB73) | v142(constB73))),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33228, 584])).
% 9.69/7.23 tff(33230,plain,
% 9.69/7.23 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB73) <=> (~((~v132(constB73)) | (~v139(constB73)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB73) <=> (~((~v132(constB73)) | (~v139(constB73))))))),
% 9.69/7.23 inference(rewrite,[status(thm)],[])).
% 9.69/7.23 tff(33231,plain,
% 9.69/7.23 ((v138(constB73) <=> (~((~v139(constB73)) | (~v132(constB73))))) <=> (v138(constB73) <=> (~((~v132(constB73)) | (~v139(constB73)))))),
% 9.69/7.23 inference(rewrite,[status(thm)],[])).
% 9.69/7.23 tff(33232,plain,
% 9.69/7.23 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB73) <=> (~((~v139(constB73)) | (~v132(constB73)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB73) <=> (~((~v132(constB73)) | (~v139(constB73))))))),
% 9.69/7.23 inference(monotonicity,[status(thm)],[33231])).
% 9.69/7.23 tff(33233,plain,
% 9.69/7.23 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB73) <=> (~((~v139(constB73)) | (~v132(constB73)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB73) <=> (~((~v132(constB73)) | (~v139(constB73))))))),
% 9.69/7.23 inference(transitivity,[status(thm)],[33232, 33230])).
% 9.69/7.23 tff(33234,plain,
% 9.69/7.23 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB73) <=> (~((~v139(constB73)) | (~v132(constB73)))))),
% 9.69/7.23 inference(quant_inst,[status(thm)],[])).
% 9.69/7.23 tff(33235,plain,
% 9.69/7.23 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB73) <=> (~((~v132(constB73)) | (~v139(constB73)))))),
% 9.69/7.23 inference(modus_ponens,[status(thm)],[33234, 33233])).
% 9.69/7.23 tff(33236,plain,
% 9.69/7.23 (v138(constB73) <=> (~((~v132(constB73)) | (~v139(constB73))))),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33235, 644])).
% 9.69/7.23 tff(33237,plain,
% 9.69/7.23 ((~![VarCurr: $i] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB73)) <=> v140(constB73))),
% 9.69/7.23 inference(quant_inst,[status(thm)],[])).
% 9.69/7.23 tff(33238,plain,
% 9.69/7.23 ((~v139(constB73)) <=> v140(constB73)),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33237, 203])).
% 9.69/7.23 tff(33239,plain,
% 9.69/7.23 ((~![VarCurr: $i] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB73) <=> (v141(constB73) | v26(constB73)))),
% 9.69/7.23 inference(quant_inst,[status(thm)],[])).
% 9.69/7.23 tff(33240,plain,
% 9.69/7.23 (v140(constB73) <=> (v141(constB73) | v26(constB73))),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33239, 212])).
% 9.69/7.23 tff(33241,plain,
% 9.69/7.23 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB73) <=> (~((~v39(constB73)) | (~v9(constB73)))))),
% 9.69/7.23 inference(quant_inst,[status(thm)],[])).
% 9.69/7.23 tff(33242,plain,
% 9.69/7.23 (v141(constB73) <=> (~((~v39(constB73)) | (~v9(constB73))))),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33241, 130])).
% 9.69/7.23 tff(33243,plain,
% 9.69/7.23 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB73, constB74)) | (v13(constB74) <=> v9(constB73)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB73, constB74)) | (v13(constB74) <=> v9(constB73)))),
% 9.69/7.23 inference(rewrite,[status(thm)],[])).
% 9.69/7.23 tff(33244,plain,
% 9.69/7.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB73, constB74)) | (v13(constB74) <=> v9(constB73)))),
% 9.69/7.23 inference(quant_inst,[status(thm)],[])).
% 9.69/7.23 tff(33245,plain,
% 9.69/7.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB73, constB74)) | (v13(constB74) <=> v9(constB73))),
% 9.69/7.23 inference(modus_ponens,[status(thm)],[33244, 33243])).
% 9.69/7.23 tff(33246,plain,
% 9.69/7.23 (v13(constB74) <=> v9(constB73)),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33245, 6389, 226])).
% 9.69/7.23 tff(33247,plain,
% 9.69/7.23 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB74) <=> v13(constB74))),
% 9.69/7.23 inference(quant_inst,[status(thm)],[])).
% 9.69/7.23 tff(33248,plain,
% 9.69/7.23 (v6(constB74) <=> v13(constB74)),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33247, 240])).
% 9.69/7.23 tff(33249,plain,
% 9.69/7.23 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB74)) <=> v6(constB74))),
% 9.69/7.23 inference(quant_inst,[status(thm)],[])).
% 9.69/7.23 tff(33250,plain,
% 9.69/7.23 ((~v21(constB74)) <=> v6(constB74)),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33249, 249])).
% 9.69/7.23 tff(33251,plain,
% 9.69/7.23 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB74) <=> (v20(constB74) | v21(constB74)))),
% 9.69/7.23 inference(quant_inst,[status(thm)],[])).
% 9.69/7.23 tff(33252,plain,
% 9.69/7.23 (v19(constB74) <=> (v20(constB74) | v21(constB74))),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33251, 258])).
% 9.69/7.23 tff(33253,plain,
% 9.69/7.23 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB74) <=> (~((~v19(constB74)) | (~v22(constB74)))))),
% 9.69/7.23 inference(quant_inst,[status(thm)],[])).
% 9.69/7.23 tff(33254,plain,
% 9.69/7.23 (v18(constB74) <=> (~((~v19(constB74)) | (~v22(constB74))))),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33253, 270])).
% 9.69/7.23 tff(33255,plain,
% 9.69/7.23 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB74)) <=> v18(constB74))),
% 9.69/7.23 inference(quant_inst,[status(thm)],[])).
% 9.69/7.23 tff(33256,plain,
% 9.69/7.23 ((~v4(constB74)) <=> v18(constB74)),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33255, 279])).
% 9.69/7.23 tff(33257,plain,
% 9.69/7.23 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB74)),
% 9.69/7.23 inference(quant_inst,[status(thm)],[])).
% 9.69/7.23 tff(33258,plain,
% 9.69/7.23 (v4(constB74)),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33257, 288])).
% 9.69/7.23 tff(33259,plain,
% 9.69/7.23 ((~((~v4(constB74)) <=> v18(constB74))) | (~v4(constB74)) | (~v18(constB74))),
% 9.69/7.23 inference(tautology,[status(thm)],[])).
% 9.69/7.23 tff(33260,plain,
% 9.69/7.23 (~v18(constB74)),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33259, 33258, 33256])).
% 9.69/7.23 tff(33261,plain,
% 9.69/7.23 ((~(v18(constB74) <=> (~((~v19(constB74)) | (~v22(constB74)))))) | v18(constB74) | ((~v19(constB74)) | (~v22(constB74)))),
% 9.69/7.23 inference(tautology,[status(thm)],[])).
% 9.69/7.23 tff(33262,plain,
% 9.69/7.23 ((~v19(constB74)) | (~v22(constB74))),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33261, 33260, 33254])).
% 9.69/7.23 tff(33263,plain,
% 9.69/7.23 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB74) <=> (v1(constB74) | v6(constB74)))),
% 9.69/7.23 inference(quant_inst,[status(thm)],[])).
% 9.69/7.23 tff(33264,plain,
% 9.69/7.23 (v22(constB74) <=> (v1(constB74) | v6(constB74))),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33263, 301])).
% 9.69/7.23 tff(33265,plain,
% 9.69/7.23 ((v1(constB74) | v6(constB74)) | (~v1(constB74))),
% 9.69/7.23 inference(tautology,[status(thm)],[])).
% 9.69/7.23 tff(33266,plain,
% 9.69/7.23 (v1(constB74) | v6(constB74)),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33265, 6419])).
% 9.69/7.23 tff(33267,plain,
% 9.69/7.23 ((~(v22(constB74) <=> (v1(constB74) | v6(constB74)))) | v22(constB74) | (~(v1(constB74) | v6(constB74)))),
% 9.69/7.23 inference(tautology,[status(thm)],[])).
% 9.69/7.23 tff(33268,plain,
% 9.69/7.23 ((~(v22(constB74) <=> (v1(constB74) | v6(constB74)))) | v22(constB74)),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33267, 33266])).
% 9.69/7.23 tff(33269,plain,
% 9.69/7.23 (v22(constB74)),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33268, 33264])).
% 9.69/7.23 tff(33270,plain,
% 9.69/7.23 ((~((~v19(constB74)) | (~v22(constB74)))) | (~v19(constB74)) | (~v22(constB74))),
% 9.69/7.23 inference(tautology,[status(thm)],[])).
% 9.69/7.23 tff(33271,plain,
% 9.69/7.23 ((~((~v19(constB74)) | (~v22(constB74)))) | (~v19(constB74))),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33270, 33269])).
% 9.69/7.23 tff(33272,plain,
% 9.69/7.23 (~v19(constB74)),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33271, 33262])).
% 9.69/7.23 tff(33273,plain,
% 9.69/7.23 ((~(v19(constB74) <=> (v20(constB74) | v21(constB74)))) | v19(constB74) | (~(v20(constB74) | v21(constB74)))),
% 9.69/7.23 inference(tautology,[status(thm)],[])).
% 9.69/7.23 tff(33274,plain,
% 9.69/7.23 (~(v20(constB74) | v21(constB74))),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33273, 33272, 33252])).
% 9.69/7.23 tff(33275,plain,
% 9.69/7.23 ((v20(constB74) | v21(constB74)) | (~v21(constB74))),
% 9.69/7.23 inference(tautology,[status(thm)],[])).
% 9.69/7.23 tff(33276,plain,
% 9.69/7.23 (~v21(constB74)),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33275, 33274])).
% 9.69/7.23 tff(33277,plain,
% 9.69/7.23 ((~((~v21(constB74)) <=> v6(constB74))) | v21(constB74) | v6(constB74)),
% 9.69/7.23 inference(tautology,[status(thm)],[])).
% 9.69/7.23 tff(33278,plain,
% 9.69/7.23 (v6(constB74)),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33277, 33276, 33250])).
% 9.69/7.23 tff(33279,plain,
% 9.69/7.23 ((~(v6(constB74) <=> v13(constB74))) | (~v6(constB74)) | v13(constB74)),
% 9.69/7.23 inference(tautology,[status(thm)],[])).
% 9.69/7.23 tff(33280,plain,
% 9.69/7.23 (v13(constB74)),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33279, 33278, 33248])).
% 9.69/7.23 tff(33281,plain,
% 9.69/7.23 ((~(v13(constB74) <=> v9(constB73))) | (~v13(constB74)) | v9(constB73)),
% 9.69/7.23 inference(tautology,[status(thm)],[])).
% 9.69/7.23 tff(33282,plain,
% 9.69/7.23 (v9(constB73)),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33281, 33280, 33246])).
% 9.69/7.23 tff(33283,plain,
% 9.69/7.23 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB73)) <=> v1(constB73))),
% 9.69/7.23 inference(quant_inst,[status(thm)],[])).
% 9.69/7.23 tff(33284,plain,
% 9.69/7.23 ((~v39(constB73)) <=> v1(constB73)),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33283, 139])).
% 9.69/7.23 tff(33285,plain,
% 9.69/7.23 ((~((~v39(constB73)) <=> v1(constB73))) | v39(constB73) | v1(constB73)),
% 9.69/7.23 inference(tautology,[status(thm)],[])).
% 9.69/7.23 tff(33286,plain,
% 9.69/7.23 ((~((~v39(constB73)) <=> v1(constB73))) | v39(constB73)),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33285, 6411])).
% 9.69/7.23 tff(33287,plain,
% 9.69/7.23 (v39(constB73)),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33286, 33284])).
% 9.69/7.23 tff(33288,plain,
% 9.69/7.23 ((~((~v39(constB73)) | (~v9(constB73)))) | (~v39(constB73)) | (~v9(constB73))),
% 9.69/7.23 inference(tautology,[status(thm)],[])).
% 9.69/7.23 tff(33289,plain,
% 9.69/7.23 ((~((~v39(constB73)) | (~v9(constB73)))) | (~v9(constB73))),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33288, 33287])).
% 9.69/7.23 tff(33290,plain,
% 9.69/7.23 (~((~v39(constB73)) | (~v9(constB73)))),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33289, 33282])).
% 9.69/7.23 tff(33291,plain,
% 9.69/7.23 ((~(v141(constB73) <=> (~((~v39(constB73)) | (~v9(constB73)))))) | v141(constB73) | ((~v39(constB73)) | (~v9(constB73)))),
% 9.69/7.23 inference(tautology,[status(thm)],[])).
% 9.69/7.23 tff(33292,plain,
% 9.69/7.23 (v141(constB73)),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33291, 33290, 33242])).
% 9.69/7.23 tff(33293,plain,
% 9.69/7.23 ((v141(constB73) | v26(constB73)) | (~v141(constB73))),
% 9.69/7.23 inference(tautology,[status(thm)],[])).
% 9.69/7.23 tff(33294,plain,
% 9.69/7.23 (v141(constB73) | v26(constB73)),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33293, 33292])).
% 9.69/7.23 tff(33295,plain,
% 9.69/7.23 ((~(v140(constB73) <=> (v141(constB73) | v26(constB73)))) | v140(constB73) | (~(v141(constB73) | v26(constB73)))),
% 9.69/7.23 inference(tautology,[status(thm)],[])).
% 9.69/7.23 tff(33296,plain,
% 9.69/7.23 (v140(constB73)),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33295, 33294, 33240])).
% 9.69/7.23 tff(33297,plain,
% 9.69/7.23 ((~((~v139(constB73)) <=> v140(constB73))) | (~v139(constB73)) | (~v140(constB73))),
% 9.69/7.23 inference(tautology,[status(thm)],[])).
% 9.69/7.23 tff(33298,plain,
% 9.69/7.23 (~v139(constB73)),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33297, 33296, 33238])).
% 9.69/7.23 tff(33299,plain,
% 9.69/7.23 (((~v132(constB73)) | (~v139(constB73))) | v139(constB73)),
% 9.69/7.23 inference(tautology,[status(thm)],[])).
% 9.69/7.23 tff(33300,plain,
% 9.69/7.23 ((~v132(constB73)) | (~v139(constB73))),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33299, 33298])).
% 9.69/7.23 tff(33301,plain,
% 9.69/7.23 ((~(v138(constB73) <=> (~((~v132(constB73)) | (~v139(constB73)))))) | (~v138(constB73)) | (~((~v132(constB73)) | (~v139(constB73))))),
% 9.69/7.23 inference(tautology,[status(thm)],[])).
% 9.69/7.23 tff(33302,plain,
% 9.69/7.23 (~v138(constB73)),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33301, 33300, 33236])).
% 9.69/7.23 tff(33303,plain,
% 9.69/7.23 ((~![VarCurr: $i] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB73) <=> (~((~v143(constB73)) | (~v144(constB73)))))),
% 9.69/7.23 inference(quant_inst,[status(thm)],[])).
% 9.69/7.23 tff(33304,plain,
% 9.69/7.23 (v142(constB73) <=> (~((~v143(constB73)) | (~v144(constB73))))),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33303, 596])).
% 9.69/7.23 tff(33305,plain,
% 9.69/7.23 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB73) <=> (~((~v141(constB73)) | (~v145(constB73)))))),
% 9.69/7.23 inference(quant_inst,[status(thm)],[])).
% 9.69/7.23 tff(33306,plain,
% 9.69/7.23 (v144(constB73) <=> (~((~v141(constB73)) | (~v145(constB73))))),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33305, 608])).
% 9.69/7.23 tff(33307,plain,
% 9.69/7.23 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB73) <=> (~(v84(constB73, bitIndex2) | v84(constB73, bitIndex1) | (~v84(constB73, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB73) <=> (~(v84(constB73, bitIndex2) | v84(constB73, bitIndex1) | (~v84(constB73, bitIndex0))))))),
% 9.69/7.23 inference(rewrite,[status(thm)],[])).
% 9.69/7.23 tff(33308,plain,
% 9.69/7.23 ((v145(constB73) <=> (~(v84(constB73, bitIndex1) | v84(constB73, bitIndex2) | (~v84(constB73, bitIndex0))))) <=> (v145(constB73) <=> (~(v84(constB73, bitIndex2) | v84(constB73, bitIndex1) | (~v84(constB73, bitIndex0)))))),
% 9.69/7.23 inference(rewrite,[status(thm)],[])).
% 9.69/7.23 tff(33309,plain,
% 9.69/7.23 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB73) <=> (~(v84(constB73, bitIndex1) | v84(constB73, bitIndex2) | (~v84(constB73, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB73) <=> (~(v84(constB73, bitIndex2) | v84(constB73, bitIndex1) | (~v84(constB73, bitIndex0))))))),
% 9.69/7.23 inference(monotonicity,[status(thm)],[33308])).
% 9.69/7.23 tff(33310,plain,
% 9.69/7.23 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB73) <=> (~(v84(constB73, bitIndex1) | v84(constB73, bitIndex2) | (~v84(constB73, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB73) <=> (~(v84(constB73, bitIndex2) | v84(constB73, bitIndex1) | (~v84(constB73, bitIndex0))))))),
% 9.69/7.23 inference(transitivity,[status(thm)],[33309, 33307])).
% 9.69/7.23 tff(33311,plain,
% 9.69/7.23 ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB73) <=> (~(v84(constB73, bitIndex1) | v84(constB73, bitIndex2) | (~v84(constB73, bitIndex0)))))),
% 9.69/7.23 inference(quant_inst,[status(thm)],[])).
% 9.69/7.23 tff(33312,plain,
% 9.69/7.23 ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB73) <=> (~(v84(constB73, bitIndex2) | v84(constB73, bitIndex1) | (~v84(constB73, bitIndex0)))))),
% 9.69/7.23 inference(modus_ponens,[status(thm)],[33311, 33310])).
% 9.69/7.23 tff(33313,plain,
% 9.69/7.23 (v145(constB73) <=> (~(v84(constB73, bitIndex2) | v84(constB73, bitIndex1) | (~v84(constB73, bitIndex0))))),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33312, 755])).
% 9.69/7.23 tff(33314,plain,
% 9.69/7.23 ((~(v145(constB73) <=> (~(v84(constB73, bitIndex2) | v84(constB73, bitIndex1) | (~v84(constB73, bitIndex0)))))) | (~v145(constB73)) | (~(v84(constB73, bitIndex2) | v84(constB73, bitIndex1) | (~v84(constB73, bitIndex0))))),
% 9.69/7.23 inference(tautology,[status(thm)],[])).
% 9.69/7.23 tff(33315,plain,
% 9.69/7.23 (~v145(constB73)),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33314, 15921, 33313])).
% 9.69/7.23 tff(33316,plain,
% 9.69/7.23 (((~v141(constB73)) | (~v145(constB73))) | v145(constB73)),
% 9.69/7.23 inference(tautology,[status(thm)],[])).
% 9.69/7.23 tff(33317,plain,
% 9.69/7.23 ((~v141(constB73)) | (~v145(constB73))),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33316, 33315])).
% 9.69/7.23 tff(33318,plain,
% 9.69/7.23 ((~(v144(constB73) <=> (~((~v141(constB73)) | (~v145(constB73)))))) | (~v144(constB73)) | (~((~v141(constB73)) | (~v145(constB73))))),
% 9.69/7.23 inference(tautology,[status(thm)],[])).
% 9.69/7.23 tff(33319,plain,
% 9.69/7.23 (~v144(constB73)),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33318, 33317, 33306])).
% 9.69/7.23 tff(33320,plain,
% 9.69/7.23 (((~v143(constB73)) | (~v144(constB73))) | v144(constB73)),
% 9.69/7.23 inference(tautology,[status(thm)],[])).
% 9.69/7.23 tff(33321,plain,
% 9.69/7.23 ((~v143(constB73)) | (~v144(constB73))),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33320, 33319])).
% 9.69/7.23 tff(33322,plain,
% 9.69/7.23 ((~(v142(constB73) <=> (~((~v143(constB73)) | (~v144(constB73)))))) | (~v142(constB73)) | (~((~v143(constB73)) | (~v144(constB73))))),
% 9.69/7.23 inference(tautology,[status(thm)],[])).
% 9.69/7.23 tff(33323,plain,
% 9.69/7.23 (~v142(constB73)),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33322, 33321, 33304])).
% 9.69/7.23 tff(33324,plain,
% 9.69/7.23 ((~(v138(constB73) | v142(constB73))) | v138(constB73) | v142(constB73)),
% 9.69/7.23 inference(tautology,[status(thm)],[])).
% 9.69/7.23 tff(33325,plain,
% 9.69/7.23 (~(v138(constB73) | v142(constB73))),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33324, 33323, 33302])).
% 9.69/7.23 tff(33326,plain,
% 9.69/7.23 ((~(v135(constB73) <=> (v138(constB73) | v142(constB73)))) | (~v135(constB73)) | (v138(constB73) | v142(constB73))),
% 9.69/7.23 inference(tautology,[status(thm)],[])).
% 9.69/7.23 tff(33327,plain,
% 9.69/7.23 (~v135(constB73)),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33326, 33325, 33229])).
% 9.69/7.23 tff(33328,plain,
% 9.69/7.23 ((~(v137(constB74) <=> v135(constB73))) | (~v137(constB74)) | v135(constB73)),
% 9.69/7.23 inference(tautology,[status(thm)],[])).
% 9.69/7.23 tff(33329,plain,
% 9.69/7.23 (~v137(constB74)),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33328, 33327, 33227])).
% 9.69/7.23 tff(33330,plain,
% 9.69/7.23 ((~(v132(constB74) <=> v137(constB74))) | (~v132(constB74)) | v137(constB74)),
% 9.69/7.23 inference(tautology,[status(thm)],[])).
% 9.69/7.23 tff(33331,plain,
% 9.69/7.23 (~v132(constB74)),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33330, 33329, 33223])).
% 9.69/7.23 tff(33332,plain,
% 9.69/7.23 (((~v132(constB74)) | (~v139(constB74))) | v132(constB74)),
% 9.69/7.23 inference(tautology,[status(thm)],[])).
% 9.69/7.23 tff(33333,plain,
% 9.69/7.23 ((~v132(constB74)) | (~v139(constB74))),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33332, 33331])).
% 9.69/7.23 tff(33334,plain,
% 9.69/7.23 ((~(v138(constB74) <=> (~((~v132(constB74)) | (~v139(constB74)))))) | (~v138(constB74)) | (~((~v132(constB74)) | (~v139(constB74))))),
% 9.69/7.23 inference(tautology,[status(thm)],[])).
% 9.69/7.23 tff(33335,plain,
% 9.69/7.23 (~v138(constB74)),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33334, 33333, 33221])).
% 9.69/7.23 tff(33336,plain,
% 9.69/7.23 ((~(v138(constB74) | v142(constB74))) | v138(constB74) | v142(constB74)),
% 9.69/7.23 inference(tautology,[status(thm)],[])).
% 9.69/7.23 tff(33337,plain,
% 9.69/7.23 (~(v138(constB74) | v142(constB74))),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33336, 33335, 33214])).
% 9.69/7.23 tff(33338,plain,
% 9.69/7.23 ((~(v135(constB74) <=> (v138(constB74) | v142(constB74)))) | (~v135(constB74)) | (v138(constB74) | v142(constB74))),
% 9.69/7.23 inference(tautology,[status(thm)],[])).
% 9.69/7.23 tff(33339,plain,
% 9.69/7.23 (~v135(constB74)),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33338, 33337, 33189])).
% 9.69/7.23 tff(33340,plain,
% 9.69/7.23 ((~(v137(constB75) <=> v135(constB74))) | (~v137(constB75)) | v135(constB74)),
% 9.69/7.23 inference(tautology,[status(thm)],[])).
% 9.69/7.23 tff(33341,plain,
% 9.69/7.23 (~v137(constB75)),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33340, 33339, 33187])).
% 9.69/7.23 tff(33342,plain,
% 9.69/7.23 ((~(v132(constB75) <=> v137(constB75))) | (~v132(constB75)) | v137(constB75)),
% 9.69/7.23 inference(tautology,[status(thm)],[])).
% 9.69/7.23 tff(33343,plain,
% 9.69/7.23 (~v132(constB75)),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33342, 33341, 33183])).
% 9.69/7.23 tff(33344,plain,
% 9.69/7.23 (((~v132(constB75)) | (~v154(constB75))) | v132(constB75)),
% 9.69/7.23 inference(tautology,[status(thm)],[])).
% 9.69/7.23 tff(33345,plain,
% 9.69/7.23 ((~v132(constB75)) | (~v154(constB75))),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33344, 33343])).
% 9.69/7.23 tff(33346,plain,
% 9.69/7.23 ((~(v153(constB75) <=> (~((~v132(constB75)) | (~v154(constB75)))))) | (~v153(constB75)) | (~((~v132(constB75)) | (~v154(constB75))))),
% 9.69/7.23 inference(tautology,[status(thm)],[])).
% 9.69/7.23 tff(33347,plain,
% 9.69/7.23 (~v153(constB75)),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33346, 33345, 33181])).
% 9.69/7.23 tff(33348,plain,
% 9.69/7.23 ((~(v153(constB75) | v155(constB75))) | v153(constB75) | v155(constB75)),
% 9.69/7.23 inference(tautology,[status(thm)],[])).
% 9.69/7.23 tff(33349,plain,
% 9.69/7.23 (~(v153(constB75) | v155(constB75))),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33348, 33347, 33174])).
% 9.69/7.23 tff(33350,plain,
% 9.69/7.23 ((~(v150(constB75) <=> (v153(constB75) | v155(constB75)))) | (~v150(constB75)) | (v153(constB75) | v155(constB75))),
% 9.69/7.23 inference(tautology,[status(thm)],[])).
% 9.69/7.23 tff(33351,plain,
% 9.69/7.23 (~v150(constB75)),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33350, 33349, 33101])).
% 9.69/7.23 tff(33352,plain,
% 9.69/7.23 ((~(v152(constB76) <=> v150(constB75))) | (~v152(constB76)) | v150(constB75)),
% 9.69/7.23 inference(tautology,[status(thm)],[])).
% 9.69/7.23 tff(33353,plain,
% 9.69/7.23 (~v152(constB76)),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33352, 33351, 33099])).
% 9.69/7.23 tff(33354,plain,
% 9.69/7.23 ((~(v130(constB76) <=> v152(constB76))) | (~v130(constB76)) | v152(constB76)),
% 9.69/7.23 inference(tautology,[status(thm)],[])).
% 9.69/7.23 tff(33355,plain,
% 9.69/7.23 (~v130(constB76)),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33354, 33353, 33095])).
% 9.69/7.23 tff(33356,plain,
% 9.69/7.23 (((~v130(constB76)) | (~v139(constB76))) | v130(constB76)),
% 9.69/7.23 inference(tautology,[status(thm)],[])).
% 9.69/7.23 tff(33357,plain,
% 9.69/7.23 ((~v130(constB76)) | (~v139(constB76))),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33356, 33355])).
% 9.69/7.23 tff(33358,plain,
% 9.69/7.23 ((~(v155(constB76) <=> (~((~v130(constB76)) | (~v139(constB76)))))) | (~v155(constB76)) | (~((~v130(constB76)) | (~v139(constB76))))),
% 9.69/7.23 inference(tautology,[status(thm)],[])).
% 9.69/7.23 tff(33359,plain,
% 9.69/7.23 (~v155(constB76)),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33358, 33357, 33093])).
% 9.69/7.23 tff(33360,plain,
% 9.69/7.23 ((~(v153(constB76) | v155(constB76))) | v153(constB76) | v155(constB76)),
% 9.69/7.23 inference(tautology,[status(thm)],[])).
% 9.69/7.23 tff(33361,plain,
% 9.69/7.23 (~(v153(constB76) | v155(constB76))),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33360, 33359, 33086])).
% 9.69/7.23 tff(33362,plain,
% 9.69/7.23 ((~(v150(constB76) <=> (v153(constB76) | v155(constB76)))) | (~v150(constB76)) | (v153(constB76) | v155(constB76))),
% 9.69/7.23 inference(tautology,[status(thm)],[])).
% 9.69/7.23 tff(33363,plain,
% 9.69/7.23 (~v150(constB76)),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33362, 33361, 33051])).
% 9.69/7.23 tff(33364,plain,
% 9.69/7.23 ((~(v152(constB77) <=> v150(constB76))) | (~v152(constB77)) | v150(constB76)),
% 9.69/7.23 inference(tautology,[status(thm)],[])).
% 9.69/7.23 tff(33365,plain,
% 9.69/7.23 (~v152(constB77)),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33364, 33363, 33049])).
% 9.69/7.23 tff(33366,plain,
% 9.69/7.23 ((~(v130(constB77) <=> v152(constB77))) | (~v130(constB77)) | v152(constB77)),
% 9.69/7.23 inference(tautology,[status(thm)],[])).
% 9.69/7.23 tff(33367,plain,
% 9.69/7.23 (~v130(constB77)),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33366, 33365, 33045])).
% 9.69/7.23 tff(33368,plain,
% 9.69/7.23 (((~v130(constB77)) | (~v154(constB77))) | v130(constB77)),
% 9.69/7.23 inference(tautology,[status(thm)],[])).
% 9.69/7.23 tff(33369,plain,
% 9.69/7.23 ((~v130(constB77)) | (~v154(constB77))),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33368, 33367])).
% 9.69/7.23 tff(33370,plain,
% 9.69/7.23 ((~(v164(constB77) <=> (~((~v130(constB77)) | (~v154(constB77)))))) | (~v164(constB77)) | (~((~v130(constB77)) | (~v154(constB77))))),
% 9.69/7.23 inference(tautology,[status(thm)],[])).
% 9.69/7.23 tff(33371,plain,
% 9.69/7.23 (~v164(constB77)),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33370, 33369, 33043])).
% 9.69/7.23 tff(33372,plain,
% 9.69/7.23 ((~(v163(constB77) | v164(constB77))) | v163(constB77) | v164(constB77)),
% 9.69/7.23 inference(tautology,[status(thm)],[])).
% 9.69/7.23 tff(33373,plain,
% 9.69/7.23 (~(v163(constB77) | v164(constB77))),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33372, 33371, 33036])).
% 9.69/7.23 tff(33374,plain,
% 9.69/7.23 ((~(v160(constB77) <=> (v163(constB77) | v164(constB77)))) | (~v160(constB77)) | (v163(constB77) | v164(constB77))),
% 9.69/7.23 inference(tautology,[status(thm)],[])).
% 9.69/7.23 tff(33375,plain,
% 9.69/7.23 (~v160(constB77)),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33374, 33373, 32963])).
% 9.69/7.23 tff(33376,plain,
% 9.69/7.23 ((~(v162(constB78) <=> v160(constB77))) | (~v162(constB78)) | v160(constB77)),
% 9.69/7.23 inference(tautology,[status(thm)],[])).
% 9.69/7.23 tff(33377,plain,
% 9.69/7.23 (~v162(constB78)),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33376, 33375, 32961])).
% 9.69/7.23 tff(33378,plain,
% 9.69/7.23 ((~(v128(constB78) <=> v162(constB78))) | (~v128(constB78)) | v162(constB78)),
% 9.69/7.23 inference(tautology,[status(thm)],[])).
% 9.69/7.23 tff(33379,plain,
% 9.69/7.23 (~v128(constB78)),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33378, 33377, 32957])).
% 9.69/7.23 tff(33380,plain,
% 9.69/7.23 (((~v128(constB78)) | (~v139(constB78))) | v128(constB78)),
% 9.69/7.23 inference(tautology,[status(thm)],[])).
% 9.69/7.23 tff(33381,plain,
% 9.69/7.23 ((~v128(constB78)) | (~v139(constB78))),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33380, 33379])).
% 9.69/7.23 tff(33382,plain,
% 9.69/7.23 ((~(v163(constB78) <=> (~((~v128(constB78)) | (~v139(constB78)))))) | (~v163(constB78)) | (~((~v128(constB78)) | (~v139(constB78))))),
% 9.69/7.23 inference(tautology,[status(thm)],[])).
% 9.69/7.23 tff(33383,plain,
% 9.69/7.23 (~v163(constB78)),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33382, 33381, 32955])).
% 9.69/7.23 tff(33384,plain,
% 9.69/7.23 ((~(v163(constB78) | v164(constB78))) | v163(constB78) | v164(constB78)),
% 9.69/7.23 inference(tautology,[status(thm)],[])).
% 9.69/7.23 tff(33385,plain,
% 9.69/7.23 (~(v163(constB78) | v164(constB78))),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33384, 33383, 32948])).
% 9.69/7.23 tff(33386,plain,
% 9.69/7.23 ((~(v160(constB78) <=> (v163(constB78) | v164(constB78)))) | (~v160(constB78)) | (v163(constB78) | v164(constB78))),
% 9.69/7.23 inference(tautology,[status(thm)],[])).
% 9.69/7.23 tff(33387,plain,
% 9.69/7.23 (~v160(constB78)),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33386, 33385, 32913])).
% 9.69/7.23 tff(33388,plain,
% 9.69/7.23 ((~(v162(constB79) <=> v160(constB78))) | (~v162(constB79)) | v160(constB78)),
% 9.69/7.23 inference(tautology,[status(thm)],[])).
% 9.69/7.23 tff(33389,plain,
% 9.69/7.23 (~v162(constB79)),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33388, 33387, 32911])).
% 9.69/7.23 tff(33390,plain,
% 9.69/7.23 ($false),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33389, 32907])).
% 9.69/7.23 tff(33391,plain,(~(constB79 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.69/7.23 tff(33392,assumption,(constB173 = VarCurr!0), introduced(assumption)).
% 9.69/7.23 tff(33393,plain,
% 9.69/7.23 (v162(constB173) <=> v162(VarCurr!0)),
% 9.69/7.23 inference(monotonicity,[status(thm)],[33392])).
% 9.69/7.23 tff(33394,plain,
% 9.69/7.23 (v162(VarCurr!0) <=> v162(constB173)),
% 9.69/7.23 inference(symmetry,[status(thm)],[33393])).
% 9.69/7.23 tff(33395,plain,
% 9.69/7.23 (v162(constB173)),
% 9.69/7.23 inference(modus_ponens,[status(thm)],[59, 33394])).
% 9.69/7.23 tff(33396,plain,
% 9.69/7.23 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB172, constB173)) | (v162(constB173) <=> v160(constB172)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB172, constB173)) | (v162(constB173) <=> v160(constB172)))),
% 9.69/7.23 inference(rewrite,[status(thm)],[])).
% 9.69/7.23 tff(33397,plain,
% 9.69/7.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB172, constB173)) | (v162(constB173) <=> v160(constB172)))),
% 9.69/7.23 inference(quant_inst,[status(thm)],[])).
% 9.69/7.23 tff(33398,plain,
% 9.69/7.23 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB172, constB173)) | (v162(constB173) <=> v160(constB172))),
% 9.69/7.23 inference(modus_ponens,[status(thm)],[33397, 33396])).
% 9.69/7.23 tff(33399,plain,
% 9.69/7.23 (v162(constB173) <=> v160(constB172)),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33398, 1884, 70])).
% 9.69/7.23 tff(33400,plain,
% 9.69/7.23 ((~![VarCurr: $i] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB172) <=> (v163(constB172) | v164(constB172)))),
% 9.69/7.23 inference(quant_inst,[status(thm)],[])).
% 9.69/7.23 tff(33401,plain,
% 9.69/7.23 (v160(constB172) <=> (v163(constB172) | v164(constB172))),
% 9.69/7.23 inference(unit_resolution,[status(thm)],[33400, 84])).
% 9.69/7.23 tff(33402,plain,
% 9.69/7.23 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB172) <=> (~((~v130(constB172)) | (~v154(constB172)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB172) <=> (~((~v130(constB172)) | (~v154(constB172))))))),
% 9.69/7.23 inference(rewrite,[status(thm)],[])).
% 9.69/7.23 tff(33403,plain,
% 9.69/7.23 ((v164(constB172) <=> (~((~v154(constB172)) | (~v130(constB172))))) <=> (v164(constB172) <=> (~((~v130(constB172)) | (~v154(constB172)))))),
% 9.69/7.24 inference(rewrite,[status(thm)],[])).
% 9.69/7.24 tff(33404,plain,
% 9.69/7.24 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB172) <=> (~((~v154(constB172)) | (~v130(constB172)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB172) <=> (~((~v130(constB172)) | (~v154(constB172))))))),
% 9.69/7.24 inference(monotonicity,[status(thm)],[33403])).
% 9.69/7.24 tff(33405,plain,
% 9.69/7.24 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB172) <=> (~((~v154(constB172)) | (~v130(constB172)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB172) <=> (~((~v130(constB172)) | (~v154(constB172))))))),
% 9.69/7.24 inference(transitivity,[status(thm)],[33404, 33402])).
% 9.69/7.24 tff(33406,plain,
% 9.69/7.24 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB172) <=> (~((~v154(constB172)) | (~v130(constB172)))))),
% 9.69/7.24 inference(quant_inst,[status(thm)],[])).
% 9.69/7.24 tff(33407,plain,
% 9.69/7.24 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB172) <=> (~((~v130(constB172)) | (~v154(constB172)))))),
% 9.69/7.24 inference(modus_ponens,[status(thm)],[33406, 33405])).
% 9.69/7.24 tff(33408,plain,
% 9.69/7.24 (v164(constB172) <=> (~((~v130(constB172)) | (~v154(constB172))))),
% 9.69/7.24 inference(unit_resolution,[status(thm)],[33407, 96])).
% 9.69/7.24 tff(33409,plain,
% 9.69/7.24 (((~v130(constB172)) | (~v154(constB172))) | v154(constB172)),
% 9.69/7.24 inference(tautology,[status(thm)],[])).
% 9.69/7.24 tff(33410,plain,
% 9.69/7.24 ((~v130(constB172)) | (~v154(constB172))),
% 9.69/7.24 inference(unit_resolution,[status(thm)],[33409, 30875])).
% 9.69/7.24 tff(33411,plain,
% 9.69/7.24 ((~(v164(constB172) <=> (~((~v130(constB172)) | (~v154(constB172)))))) | (~v164(constB172)) | (~((~v130(constB172)) | (~v154(constB172))))),
% 9.69/7.24 inference(tautology,[status(thm)],[])).
% 9.69/7.24 tff(33412,plain,
% 9.69/7.24 (~v164(constB172)),
% 9.69/7.24 inference(unit_resolution,[status(thm)],[33411, 33410, 33408])).
% 9.69/7.24 tff(33413,plain,
% 9.69/7.24 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB172) <=> (~((~v128(constB172)) | (~v139(constB172)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB172) <=> (~((~v128(constB172)) | (~v139(constB172))))))),
% 9.69/7.24 inference(rewrite,[status(thm)],[])).
% 9.69/7.24 tff(33414,plain,
% 9.69/7.24 ((v163(constB172) <=> (~((~v139(constB172)) | (~v128(constB172))))) <=> (v163(constB172) <=> (~((~v128(constB172)) | (~v139(constB172)))))),
% 9.69/7.24 inference(rewrite,[status(thm)],[])).
% 9.69/7.24 tff(33415,plain,
% 9.69/7.24 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB172) <=> (~((~v139(constB172)) | (~v128(constB172)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB172) <=> (~((~v128(constB172)) | (~v139(constB172))))))),
% 9.69/7.24 inference(monotonicity,[status(thm)],[33414])).
% 9.69/7.24 tff(33416,plain,
% 9.69/7.24 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB172) <=> (~((~v139(constB172)) | (~v128(constB172)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB172) <=> (~((~v128(constB172)) | (~v139(constB172))))))),
% 9.69/7.24 inference(transitivity,[status(thm)],[33415, 33413])).
% 9.69/7.24 tff(33417,plain,
% 9.69/7.24 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB172) <=> (~((~v139(constB172)) | (~v128(constB172)))))),
% 9.69/7.24 inference(quant_inst,[status(thm)],[])).
% 9.69/7.24 tff(33418,plain,
% 9.69/7.24 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB172) <=> (~((~v128(constB172)) | (~v139(constB172)))))),
% 9.69/7.24 inference(modus_ponens,[status(thm)],[33417, 33416])).
% 9.69/7.24 tff(33419,plain,
% 9.69/7.24 (v163(constB172) <=> (~((~v128(constB172)) | (~v139(constB172))))),
% 9.69/7.24 inference(unit_resolution,[status(thm)],[33418, 171])).
% 9.69/7.24 tff(33420,plain,
% 9.69/7.24 ((~![VarNext: $i] : (v128(VarNext) <=> v162(VarNext))) | (v128(constB172) <=> v162(constB172))),
% 9.69/7.24 inference(quant_inst,[status(thm)],[])).
% 9.69/7.24 tff(33421,plain,
% 9.69/7.24 (v128(constB172) <=> v162(constB172)),
% 9.69/7.24 inference(unit_resolution,[status(thm)],[33420, 13])).
% 9.69/7.24 tff(33422,plain,
% 9.69/7.24 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB171, constB172)) | (v162(constB172) <=> v160(constB171)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB171, constB172)) | (v162(constB172) <=> v160(constB171)))),
% 9.69/7.24 inference(rewrite,[status(thm)],[])).
% 9.69/7.24 tff(33423,plain,
% 9.69/7.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB171, constB172)) | (v162(constB172) <=> v160(constB171)))),
% 9.69/7.24 inference(quant_inst,[status(thm)],[])).
% 9.69/7.24 tff(33424,plain,
% 9.69/7.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB171, constB172)) | (v162(constB172) <=> v160(constB171))),
% 9.69/7.24 inference(modus_ponens,[status(thm)],[33423, 33422])).
% 9.69/7.24 tff(33425,plain,
% 9.69/7.24 (v162(constB172) <=> v160(constB171)),
% 9.69/7.24 inference(unit_resolution,[status(thm)],[33424, 1916, 70])).
% 9.69/7.24 tff(33426,plain,
% 9.69/7.24 ((~![VarCurr: $i] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB171) <=> (v163(constB171) | v164(constB171)))),
% 9.69/7.24 inference(quant_inst,[status(thm)],[])).
% 9.69/7.24 tff(33427,plain,
% 9.69/7.24 (v160(constB171) <=> (v163(constB171) | v164(constB171))),
% 9.69/7.24 inference(unit_resolution,[status(thm)],[33426, 84])).
% 9.69/7.24 tff(33428,plain,
% 9.69/7.24 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB171) <=> (~((~v128(constB171)) | (~v139(constB171)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB171) <=> (~((~v128(constB171)) | (~v139(constB171))))))),
% 9.69/7.24 inference(rewrite,[status(thm)],[])).
% 9.69/7.24 tff(33429,plain,
% 9.69/7.24 ((v163(constB171) <=> (~((~v139(constB171)) | (~v128(constB171))))) <=> (v163(constB171) <=> (~((~v128(constB171)) | (~v139(constB171)))))),
% 9.69/7.24 inference(rewrite,[status(thm)],[])).
% 9.69/7.24 tff(33430,plain,
% 9.69/7.24 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB171) <=> (~((~v139(constB171)) | (~v128(constB171)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB171) <=> (~((~v128(constB171)) | (~v139(constB171))))))),
% 9.69/7.24 inference(monotonicity,[status(thm)],[33429])).
% 9.69/7.24 tff(33431,plain,
% 9.69/7.24 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB171) <=> (~((~v139(constB171)) | (~v128(constB171)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB171) <=> (~((~v128(constB171)) | (~v139(constB171))))))),
% 9.69/7.24 inference(transitivity,[status(thm)],[33430, 33428])).
% 9.69/7.24 tff(33432,plain,
% 9.69/7.24 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB171) <=> (~((~v139(constB171)) | (~v128(constB171)))))),
% 9.69/7.24 inference(quant_inst,[status(thm)],[])).
% 9.69/7.24 tff(33433,plain,
% 9.69/7.24 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB171) <=> (~((~v128(constB171)) | (~v139(constB171)))))),
% 9.69/7.24 inference(modus_ponens,[status(thm)],[33432, 33431])).
% 9.69/7.24 tff(33434,plain,
% 9.69/7.24 (v163(constB171) <=> (~((~v128(constB171)) | (~v139(constB171))))),
% 9.69/7.24 inference(unit_resolution,[status(thm)],[33433, 171])).
% 9.69/7.24 tff(33435,plain,
% 9.69/7.24 (((~v128(constB171)) | (~v139(constB171))) | v139(constB171)),
% 9.69/7.24 inference(tautology,[status(thm)],[])).
% 9.69/7.24 tff(33436,plain,
% 9.69/7.24 ((~v128(constB171)) | (~v139(constB171))),
% 9.69/7.24 inference(unit_resolution,[status(thm)],[33435, 30963])).
% 9.69/7.24 tff(33437,plain,
% 9.69/7.24 ((~(v163(constB171) <=> (~((~v128(constB171)) | (~v139(constB171)))))) | (~v163(constB171)) | (~((~v128(constB171)) | (~v139(constB171))))),
% 9.69/7.24 inference(tautology,[status(thm)],[])).
% 9.69/7.24 tff(33438,plain,
% 9.69/7.24 (~v163(constB171)),
% 9.69/7.24 inference(unit_resolution,[status(thm)],[33437, 33436, 33434])).
% 9.69/7.24 tff(33439,plain,
% 9.69/7.24 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB171) <=> (~((~v130(constB171)) | (~v154(constB171)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB171) <=> (~((~v130(constB171)) | (~v154(constB171))))))),
% 9.69/7.24 inference(rewrite,[status(thm)],[])).
% 9.69/7.24 tff(33440,plain,
% 9.69/7.24 ((v164(constB171) <=> (~((~v154(constB171)) | (~v130(constB171))))) <=> (v164(constB171) <=> (~((~v130(constB171)) | (~v154(constB171)))))),
% 9.69/7.24 inference(rewrite,[status(thm)],[])).
% 9.69/7.24 tff(33441,plain,
% 9.69/7.24 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB171) <=> (~((~v154(constB171)) | (~v130(constB171)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB171) <=> (~((~v130(constB171)) | (~v154(constB171))))))),
% 9.69/7.24 inference(monotonicity,[status(thm)],[33440])).
% 9.69/7.24 tff(33442,plain,
% 9.69/7.24 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB171) <=> (~((~v154(constB171)) | (~v130(constB171)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB171) <=> (~((~v130(constB171)) | (~v154(constB171))))))),
% 9.69/7.24 inference(transitivity,[status(thm)],[33441, 33439])).
% 9.69/7.24 tff(33443,plain,
% 9.69/7.24 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB171) <=> (~((~v154(constB171)) | (~v130(constB171)))))),
% 9.69/7.24 inference(quant_inst,[status(thm)],[])).
% 9.69/7.24 tff(33444,plain,
% 9.69/7.24 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB171) <=> (~((~v130(constB171)) | (~v154(constB171)))))),
% 9.69/7.24 inference(modus_ponens,[status(thm)],[33443, 33442])).
% 9.69/7.24 tff(33445,plain,
% 9.69/7.24 (v164(constB171) <=> (~((~v130(constB171)) | (~v154(constB171))))),
% 9.69/7.24 inference(unit_resolution,[status(thm)],[33444, 96])).
% 9.69/7.24 tff(33446,plain,
% 9.69/7.24 ((~![VarNext: $i] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB171) <=> v152(constB171))),
% 9.69/7.24 inference(quant_inst,[status(thm)],[])).
% 9.69/7.24 tff(33447,plain,
% 9.69/7.24 (v130(constB171) <=> v152(constB171)),
% 9.69/7.24 inference(unit_resolution,[status(thm)],[33446, 361])).
% 9.69/7.24 tff(33448,plain,
% 9.69/7.24 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB170, constB171)) | (v152(constB171) <=> v150(constB170)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB170, constB171)) | (v152(constB171) <=> v150(constB170)))),
% 9.69/7.24 inference(rewrite,[status(thm)],[])).
% 9.69/7.24 tff(33449,plain,
% 9.69/7.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB170, constB171)) | (v152(constB171) <=> v150(constB170)))),
% 9.69/7.24 inference(quant_inst,[status(thm)],[])).
% 9.69/7.24 tff(33450,plain,
% 9.69/7.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB170, constB171)) | (v152(constB171) <=> v150(constB170))),
% 9.69/7.24 inference(modus_ponens,[status(thm)],[33449, 33448])).
% 9.69/7.24 tff(33451,plain,
% 9.69/7.24 (v152(constB171) <=> v150(constB170)),
% 9.69/7.24 inference(unit_resolution,[status(thm)],[33450, 1981, 373])).
% 9.69/7.24 tff(33452,plain,
% 9.69/7.24 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v153(VarCurr) | v155(VarCurr)))) | (v150(constB170) <=> (v153(constB170) | v155(constB170)))),
% 9.69/7.24 inference(quant_inst,[status(thm)],[])).
% 9.69/7.24 tff(33453,plain,
% 9.69/7.24 (v150(constB170) <=> (v153(constB170) | v155(constB170))),
% 9.69/7.24 inference(unit_resolution,[status(thm)],[33452, 387])).
% 9.69/7.24 tff(33454,plain,
% 9.69/7.24 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB170) <=> (~((~v132(constB170)) | (~v154(constB170)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB170) <=> (~((~v132(constB170)) | (~v154(constB170))))))),
% 9.69/7.24 inference(rewrite,[status(thm)],[])).
% 9.69/7.24 tff(33455,plain,
% 9.69/7.24 ((v153(constB170) <=> (~((~v154(constB170)) | (~v132(constB170))))) <=> (v153(constB170) <=> (~((~v132(constB170)) | (~v154(constB170)))))),
% 9.69/7.24 inference(rewrite,[status(thm)],[])).
% 9.69/7.24 tff(33456,plain,
% 9.69/7.24 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB170) <=> (~((~v154(constB170)) | (~v132(constB170)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB170) <=> (~((~v132(constB170)) | (~v154(constB170))))))),
% 9.69/7.24 inference(monotonicity,[status(thm)],[33455])).
% 9.69/7.24 tff(33457,plain,
% 9.69/7.24 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB170) <=> (~((~v154(constB170)) | (~v132(constB170)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB170) <=> (~((~v132(constB170)) | (~v154(constB170))))))),
% 9.69/7.24 inference(transitivity,[status(thm)],[33456, 33454])).
% 9.69/7.24 tff(33458,plain,
% 9.69/7.24 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB170) <=> (~((~v154(constB170)) | (~v132(constB170)))))),
% 9.69/7.24 inference(quant_inst,[status(thm)],[])).
% 9.69/7.24 tff(33459,plain,
% 9.69/7.24 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB170) <=> (~((~v132(constB170)) | (~v154(constB170)))))),
% 9.69/7.24 inference(modus_ponens,[status(thm)],[33458, 33457])).
% 9.69/7.24 tff(33460,plain,
% 9.69/7.24 (v153(constB170) <=> (~((~v132(constB170)) | (~v154(constB170))))),
% 9.69/7.24 inference(unit_resolution,[status(thm)],[33459, 399])).
% 9.69/7.24 tff(33461,plain,
% 9.69/7.24 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB170) <=> (~((~v141(constB170)) | (~v143(constB170)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB170) <=> (~((~v141(constB170)) | (~v143(constB170))))))),
% 9.69/7.24 inference(rewrite,[status(thm)],[])).
% 9.69/7.24 tff(33462,plain,
% 9.69/7.24 ((v154(constB170) <=> (~((~v143(constB170)) | (~v141(constB170))))) <=> (v154(constB170) <=> (~((~v141(constB170)) | (~v143(constB170)))))),
% 9.69/7.24 inference(rewrite,[status(thm)],[])).
% 9.69/7.24 tff(33463,plain,
% 9.69/7.24 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB170) <=> (~((~v143(constB170)) | (~v141(constB170)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB170) <=> (~((~v141(constB170)) | (~v143(constB170))))))),
% 9.69/7.24 inference(monotonicity,[status(thm)],[33462])).
% 9.69/7.24 tff(33464,plain,
% 9.69/7.24 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB170) <=> (~((~v143(constB170)) | (~v141(constB170)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB170) <=> (~((~v141(constB170)) | (~v143(constB170))))))),
% 9.69/7.24 inference(transitivity,[status(thm)],[33463, 33461])).
% 9.69/7.24 tff(33465,plain,
% 9.69/7.24 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB170) <=> (~((~v143(constB170)) | (~v141(constB170)))))),
% 9.69/7.24 inference(quant_inst,[status(thm)],[])).
% 9.69/7.24 tff(33466,plain,
% 9.69/7.24 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB170) <=> (~((~v141(constB170)) | (~v143(constB170)))))),
% 9.69/7.24 inference(modus_ponens,[status(thm)],[33465, 33464])).
% 9.69/7.24 tff(33467,plain,
% 9.69/7.24 (v154(constB170) <=> (~((~v141(constB170)) | (~v143(constB170))))),
% 9.69/7.24 inference(unit_resolution,[status(thm)],[33466, 113])).
% 9.69/7.24 tff(33468,plain,
% 9.69/7.24 (((~v141(constB170)) | (~v143(constB170))) | v141(constB170)),
% 9.69/7.24 inference(tautology,[status(thm)],[])).
% 9.69/7.24 tff(33469,plain,
% 9.69/7.24 ((~v141(constB170)) | (~v143(constB170))),
% 9.69/7.24 inference(unit_resolution,[status(thm)],[33468, 30998])).
% 9.69/7.24 tff(33470,plain,
% 9.69/7.24 ((~(v154(constB170) <=> (~((~v141(constB170)) | (~v143(constB170)))))) | (~v154(constB170)) | (~((~v141(constB170)) | (~v143(constB170))))),
% 9.69/7.24 inference(tautology,[status(thm)],[])).
% 9.69/7.24 tff(33471,plain,
% 9.69/7.24 ((~(v154(constB170) <=> (~((~v141(constB170)) | (~v143(constB170)))))) | (~v154(constB170))),
% 9.69/7.24 inference(unit_resolution,[status(thm)],[33470, 33469])).
% 9.69/7.24 tff(33472,plain,
% 9.69/7.24 (~v154(constB170)),
% 9.69/7.24 inference(unit_resolution,[status(thm)],[33471, 33467])).
% 9.69/7.24 tff(33473,plain,
% 9.69/7.24 (((~v132(constB170)) | (~v154(constB170))) | v154(constB170)),
% 9.69/7.24 inference(tautology,[status(thm)],[])).
% 9.69/7.24 tff(33474,plain,
% 9.69/7.24 ((~v132(constB170)) | (~v154(constB170))),
% 9.69/7.24 inference(unit_resolution,[status(thm)],[33473, 33472])).
% 9.69/7.24 tff(33475,plain,
% 9.69/7.24 ((~(v153(constB170) <=> (~((~v132(constB170)) | (~v154(constB170)))))) | (~v153(constB170)) | (~((~v132(constB170)) | (~v154(constB170))))),
% 9.69/7.24 inference(tautology,[status(thm)],[])).
% 9.69/7.24 tff(33476,plain,
% 9.69/7.24 (~v153(constB170)),
% 9.69/7.24 inference(unit_resolution,[status(thm)],[33475, 33474, 33460])).
% 9.69/7.24 tff(33477,plain,
% 9.69/7.24 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB170) <=> (~((~v130(constB170)) | (~v139(constB170)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB170) <=> (~((~v130(constB170)) | (~v139(constB170))))))),
% 9.69/7.24 inference(rewrite,[status(thm)],[])).
% 9.69/7.24 tff(33478,plain,
% 9.69/7.24 ((v155(constB170) <=> (~((~v139(constB170)) | (~v130(constB170))))) <=> (v155(constB170) <=> (~((~v130(constB170)) | (~v139(constB170)))))),
% 9.69/7.24 inference(rewrite,[status(thm)],[])).
% 9.69/7.24 tff(33479,plain,
% 9.69/7.24 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB170) <=> (~((~v139(constB170)) | (~v130(constB170)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB170) <=> (~((~v130(constB170)) | (~v139(constB170))))))),
% 9.69/7.24 inference(monotonicity,[status(thm)],[33478])).
% 9.69/7.24 tff(33480,plain,
% 9.69/7.24 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB170) <=> (~((~v139(constB170)) | (~v130(constB170)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB170) <=> (~((~v130(constB170)) | (~v139(constB170))))))),
% 9.69/7.24 inference(transitivity,[status(thm)],[33479, 33477])).
% 9.69/7.24 tff(33481,plain,
% 9.69/7.24 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB170) <=> (~((~v139(constB170)) | (~v130(constB170)))))),
% 9.69/7.24 inference(quant_inst,[status(thm)],[])).
% 9.69/7.24 tff(33482,plain,
% 9.69/7.24 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB170) <=> (~((~v130(constB170)) | (~v139(constB170)))))),
% 9.69/7.24 inference(modus_ponens,[status(thm)],[33481, 33480])).
% 9.69/7.24 tff(33483,plain,
% 9.69/7.24 (v155(constB170) <=> (~((~v130(constB170)) | (~v139(constB170))))),
% 9.69/7.24 inference(unit_resolution,[status(thm)],[33482, 447])).
% 9.69/7.24 tff(33484,plain,
% 9.69/7.24 ((~![VarNext: $i] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB170) <=> v152(constB170))),
% 9.69/7.24 inference(quant_inst,[status(thm)],[])).
% 9.69/7.24 tff(33485,plain,
% 9.69/7.24 (v130(constB170) <=> v152(constB170)),
% 9.69/7.24 inference(unit_resolution,[status(thm)],[33484, 361])).
% 9.69/7.24 tff(33486,plain,
% 9.69/7.24 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB169, constB170)) | (v152(constB170) <=> v150(constB169)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB169, constB170)) | (v152(constB170) <=> v150(constB169)))),
% 9.69/7.24 inference(rewrite,[status(thm)],[])).
% 9.69/7.24 tff(33487,plain,
% 9.69/7.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB169, constB170)) | (v152(constB170) <=> v150(constB169)))),
% 9.69/7.24 inference(quant_inst,[status(thm)],[])).
% 9.69/7.24 tff(33488,plain,
% 9.69/7.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB169, constB170)) | (v152(constB170) <=> v150(constB169))),
% 9.69/7.24 inference(modus_ponens,[status(thm)],[33487, 33486])).
% 9.69/7.24 tff(33489,plain,
% 9.69/7.24 (v152(constB170) <=> v150(constB169)),
% 9.69/7.24 inference(unit_resolution,[status(thm)],[33488, 2013, 373])).
% 9.69/7.24 tff(33490,plain,
% 9.69/7.24 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v153(VarCurr) | v155(VarCurr)))) | (v150(constB169) <=> (v153(constB169) | v155(constB169)))),
% 9.69/7.24 inference(quant_inst,[status(thm)],[])).
% 9.69/7.24 tff(33491,plain,
% 9.69/7.24 (v150(constB169) <=> (v153(constB169) | v155(constB169))),
% 9.69/7.24 inference(unit_resolution,[status(thm)],[33490, 387])).
% 9.69/7.24 tff(33492,plain,
% 9.69/7.24 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB169) <=> (~((~v130(constB169)) | (~v139(constB169)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB169) <=> (~((~v130(constB169)) | (~v139(constB169))))))),
% 9.69/7.24 inference(rewrite,[status(thm)],[])).
% 9.69/7.24 tff(33493,plain,
% 9.69/7.24 ((v155(constB169) <=> (~((~v139(constB169)) | (~v130(constB169))))) <=> (v155(constB169) <=> (~((~v130(constB169)) | (~v139(constB169)))))),
% 9.69/7.24 inference(rewrite,[status(thm)],[])).
% 9.69/7.24 tff(33494,plain,
% 9.69/7.24 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB169) <=> (~((~v139(constB169)) | (~v130(constB169)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB169) <=> (~((~v130(constB169)) | (~v139(constB169))))))),
% 9.69/7.24 inference(monotonicity,[status(thm)],[33493])).
% 9.69/7.24 tff(33495,plain,
% 9.69/7.24 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB169) <=> (~((~v139(constB169)) | (~v130(constB169)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB169) <=> (~((~v130(constB169)) | (~v139(constB169))))))),
% 9.69/7.24 inference(transitivity,[status(thm)],[33494, 33492])).
% 9.69/7.24 tff(33496,plain,
% 9.69/7.24 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB169) <=> (~((~v139(constB169)) | (~v130(constB169)))))),
% 9.69/7.24 inference(quant_inst,[status(thm)],[])).
% 9.69/7.24 tff(33497,plain,
% 9.69/7.24 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB169) <=> (~((~v130(constB169)) | (~v139(constB169)))))),
% 9.69/7.24 inference(modus_ponens,[status(thm)],[33496, 33495])).
% 9.69/7.24 tff(33498,plain,
% 9.69/7.24 (v155(constB169) <=> (~((~v130(constB169)) | (~v139(constB169))))),
% 9.69/7.24 inference(unit_resolution,[status(thm)],[33497, 447])).
% 9.69/7.24 tff(33499,plain,
% 9.69/7.24 (((~v130(constB169)) | (~v139(constB169))) | v139(constB169)),
% 9.69/7.24 inference(tautology,[status(thm)],[])).
% 9.69/7.24 tff(33500,plain,
% 9.69/7.24 ((~v130(constB169)) | (~v139(constB169))),
% 9.69/7.24 inference(unit_resolution,[status(thm)],[33499, 31091])).
% 9.69/7.24 tff(33501,plain,
% 9.69/7.24 ((~(v155(constB169) <=> (~((~v130(constB169)) | (~v139(constB169)))))) | (~v155(constB169)) | (~((~v130(constB169)) | (~v139(constB169))))),
% 9.69/7.24 inference(tautology,[status(thm)],[])).
% 9.69/7.24 tff(33502,plain,
% 9.69/7.24 (~v155(constB169)),
% 9.69/7.24 inference(unit_resolution,[status(thm)],[33501, 33500, 33498])).
% 9.69/7.24 tff(33503,plain,
% 9.69/7.24 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB169) <=> (~((~v132(constB169)) | (~v154(constB169)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB169) <=> (~((~v132(constB169)) | (~v154(constB169))))))),
% 9.69/7.24 inference(rewrite,[status(thm)],[])).
% 9.69/7.24 tff(33504,plain,
% 9.69/7.24 ((v153(constB169) <=> (~((~v154(constB169)) | (~v132(constB169))))) <=> (v153(constB169) <=> (~((~v132(constB169)) | (~v154(constB169)))))),
% 9.69/7.24 inference(rewrite,[status(thm)],[])).
% 9.69/7.24 tff(33505,plain,
% 9.69/7.24 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB169) <=> (~((~v154(constB169)) | (~v132(constB169)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB169) <=> (~((~v132(constB169)) | (~v154(constB169))))))),
% 9.69/7.24 inference(monotonicity,[status(thm)],[33504])).
% 9.69/7.24 tff(33506,plain,
% 9.69/7.24 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB169) <=> (~((~v154(constB169)) | (~v132(constB169)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB169) <=> (~((~v132(constB169)) | (~v154(constB169))))))),
% 9.69/7.24 inference(transitivity,[status(thm)],[33505, 33503])).
% 9.69/7.24 tff(33507,plain,
% 9.69/7.24 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB169) <=> (~((~v154(constB169)) | (~v132(constB169)))))),
% 9.69/7.24 inference(quant_inst,[status(thm)],[])).
% 9.69/7.24 tff(33508,plain,
% 9.69/7.24 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB169) <=> (~((~v132(constB169)) | (~v154(constB169)))))),
% 9.69/7.24 inference(modus_ponens,[status(thm)],[33507, 33506])).
% 9.69/7.24 tff(33509,plain,
% 9.69/7.24 (v153(constB169) <=> (~((~v132(constB169)) | (~v154(constB169))))),
% 9.69/7.24 inference(unit_resolution,[status(thm)],[33508, 399])).
% 9.69/7.24 tff(33510,plain,
% 9.69/7.24 ((~![VarNext: $i] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB169) <=> v137(constB169))),
% 9.69/7.24 inference(quant_inst,[status(thm)],[])).
% 9.69/7.24 tff(33511,plain,
% 9.69/7.24 (v132(constB169) <=> v137(constB169)),
% 9.69/7.24 inference(unit_resolution,[status(thm)],[33510, 558])).
% 9.69/7.24 tff(33512,plain,
% 9.69/7.24 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB168, constB169)) | (v137(constB169) <=> v135(constB168)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB168, constB169)) | (v137(constB169) <=> v135(constB168)))),
% 9.69/7.24 inference(rewrite,[status(thm)],[])).
% 9.69/7.24 tff(33513,plain,
% 9.69/7.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB168, constB169)) | (v137(constB169) <=> v135(constB168)))),
% 9.69/7.24 inference(quant_inst,[status(thm)],[])).
% 9.69/7.24 tff(33514,plain,
% 9.69/7.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB168, constB169)) | (v137(constB169) <=> v135(constB168))),
% 9.69/7.24 inference(modus_ponens,[status(thm)],[33513, 33512])).
% 9.69/7.24 tff(33515,plain,
% 9.69/7.24 (v137(constB169) <=> v135(constB168)),
% 9.69/7.24 inference(unit_resolution,[status(thm)],[33514, 2068, 570])).
% 9.69/7.24 tff(33516,plain,
% 9.69/7.24 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB168) <=> (v138(constB168) | v142(constB168)))),
% 9.69/7.24 inference(quant_inst,[status(thm)],[])).
% 9.69/7.24 tff(33517,plain,
% 9.69/7.24 (v135(constB168) <=> (v138(constB168) | v142(constB168))),
% 9.69/7.24 inference(unit_resolution,[status(thm)],[33516, 584])).
% 9.69/7.24 tff(33518,plain,
% 9.69/7.24 ((~![VarCurr: $i] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB168) <=> (~((~v143(constB168)) | (~v144(constB168)))))),
% 9.69/7.24 inference(quant_inst,[status(thm)],[])).
% 9.69/7.24 tff(33519,plain,
% 9.69/7.24 (v142(constB168) <=> (~((~v143(constB168)) | (~v144(constB168))))),
% 9.69/7.24 inference(unit_resolution,[status(thm)],[33518, 596])).
% 9.69/7.24 tff(33520,plain,
% 9.69/7.24 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB168) <=> (~((~v141(constB168)) | (~v145(constB168)))))),
% 9.69/7.24 inference(quant_inst,[status(thm)],[])).
% 9.69/7.24 tff(33521,plain,
% 9.69/7.24 (v144(constB168) <=> (~((~v141(constB168)) | (~v145(constB168))))),
% 9.69/7.24 inference(unit_resolution,[status(thm)],[33520, 608])).
% 9.69/7.24 tff(33522,plain,
% 9.69/7.24 (((~v141(constB168)) | (~v145(constB168))) | v141(constB168)),
% 9.69/7.24 inference(tautology,[status(thm)],[])).
% 9.69/7.24 tff(33523,plain,
% 9.69/7.24 ((~v141(constB168)) | (~v145(constB168))),
% 9.69/7.24 inference(unit_resolution,[status(thm)],[33522, 25571])).
% 9.69/7.24 tff(33524,plain,
% 9.69/7.24 ((~(v144(constB168) <=> (~((~v141(constB168)) | (~v145(constB168)))))) | (~v144(constB168)) | (~((~v141(constB168)) | (~v145(constB168))))),
% 9.69/7.24 inference(tautology,[status(thm)],[])).
% 9.69/7.24 tff(33525,plain,
% 9.69/7.24 ((~(v144(constB168) <=> (~((~v141(constB168)) | (~v145(constB168)))))) | (~v144(constB168))),
% 9.69/7.24 inference(unit_resolution,[status(thm)],[33524, 33523])).
% 9.69/7.24 tff(33526,plain,
% 9.69/7.24 (~v144(constB168)),
% 9.69/7.24 inference(unit_resolution,[status(thm)],[33525, 33521])).
% 9.69/7.24 tff(33527,plain,
% 9.69/7.24 (((~v143(constB168)) | (~v144(constB168))) | v144(constB168)),
% 9.69/7.24 inference(tautology,[status(thm)],[])).
% 9.69/7.24 tff(33528,plain,
% 9.69/7.24 ((~v143(constB168)) | (~v144(constB168))),
% 9.69/7.24 inference(unit_resolution,[status(thm)],[33527, 33526])).
% 9.69/7.24 tff(33529,plain,
% 9.69/7.24 ((~(v142(constB168) <=> (~((~v143(constB168)) | (~v144(constB168)))))) | (~v142(constB168)) | (~((~v143(constB168)) | (~v144(constB168))))),
% 9.69/7.24 inference(tautology,[status(thm)],[])).
% 9.69/7.24 tff(33530,plain,
% 9.69/7.24 (~v142(constB168)),
% 9.69/7.24 inference(unit_resolution,[status(thm)],[33529, 33528, 33519])).
% 9.69/7.24 tff(33531,plain,
% 9.69/7.24 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB168) <=> (~((~v132(constB168)) | (~v139(constB168)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB168) <=> (~((~v132(constB168)) | (~v139(constB168))))))),
% 9.69/7.24 inference(rewrite,[status(thm)],[])).
% 9.69/7.24 tff(33532,plain,
% 9.69/7.24 ((v138(constB168) <=> (~((~v139(constB168)) | (~v132(constB168))))) <=> (v138(constB168) <=> (~((~v132(constB168)) | (~v139(constB168)))))),
% 9.69/7.24 inference(rewrite,[status(thm)],[])).
% 9.69/7.24 tff(33533,plain,
% 9.69/7.24 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB168) <=> (~((~v139(constB168)) | (~v132(constB168)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB168) <=> (~((~v132(constB168)) | (~v139(constB168))))))),
% 9.69/7.24 inference(monotonicity,[status(thm)],[33532])).
% 9.69/7.24 tff(33534,plain,
% 9.69/7.24 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB168) <=> (~((~v139(constB168)) | (~v132(constB168)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB168) <=> (~((~v132(constB168)) | (~v139(constB168))))))),
% 9.69/7.24 inference(transitivity,[status(thm)],[33533, 33531])).
% 9.69/7.24 tff(33535,plain,
% 9.69/7.24 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB168) <=> (~((~v139(constB168)) | (~v132(constB168)))))),
% 9.69/7.24 inference(quant_inst,[status(thm)],[])).
% 9.69/7.24 tff(33536,plain,
% 9.69/7.24 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB168) <=> (~((~v132(constB168)) | (~v139(constB168)))))),
% 9.69/7.24 inference(modus_ponens,[status(thm)],[33535, 33534])).
% 9.69/7.24 tff(33537,plain,
% 9.69/7.24 (v138(constB168) <=> (~((~v132(constB168)) | (~v139(constB168))))),
% 9.69/7.24 inference(unit_resolution,[status(thm)],[33536, 644])).
% 9.69/7.24 tff(33538,plain,
% 9.69/7.24 ((~![VarNext: $i] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB168) <=> v137(constB168))),
% 9.69/7.24 inference(quant_inst,[status(thm)],[])).
% 9.69/7.24 tff(33539,plain,
% 9.69/7.24 (v132(constB168) <=> v137(constB168)),
% 9.69/7.24 inference(unit_resolution,[status(thm)],[33538, 558])).
% 9.69/7.24 tff(33540,plain,
% 9.69/7.24 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB167, constB168)) | (v137(constB168) <=> v135(constB167)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB167, constB168)) | (v137(constB168) <=> v135(constB167)))),
% 9.69/7.24 inference(rewrite,[status(thm)],[])).
% 9.69/7.24 tff(33541,plain,
% 9.69/7.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB167, constB168)) | (v137(constB168) <=> v135(constB167)))),
% 9.69/7.24 inference(quant_inst,[status(thm)],[])).
% 9.69/7.24 tff(33542,plain,
% 9.69/7.24 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB167, constB168)) | (v137(constB168) <=> v135(constB167))),
% 9.69/7.24 inference(modus_ponens,[status(thm)],[33541, 33540])).
% 9.69/7.24 tff(33543,plain,
% 9.69/7.24 (v137(constB168) <=> v135(constB167)),
% 9.69/7.24 inference(unit_resolution,[status(thm)],[33542, 2100, 570])).
% 9.69/7.24 tff(33544,plain,
% 9.69/7.24 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB167) <=> (v138(constB167) | v142(constB167)))),
% 9.69/7.24 inference(quant_inst,[status(thm)],[])).
% 9.69/7.24 tff(33545,plain,
% 9.69/7.24 (v135(constB167) <=> (v138(constB167) | v142(constB167))),
% 9.69/7.24 inference(unit_resolution,[status(thm)],[33544, 584])).
% 9.69/7.24 tff(33546,plain,
% 9.69/7.24 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB167) <=> (~((~v132(constB167)) | (~v139(constB167)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB167) <=> (~((~v132(constB167)) | (~v139(constB167))))))),
% 9.69/7.24 inference(rewrite,[status(thm)],[])).
% 9.69/7.24 tff(33547,plain,
% 9.69/7.24 ((v138(constB167) <=> (~((~v139(constB167)) | (~v132(constB167))))) <=> (v138(constB167) <=> (~((~v132(constB167)) | (~v139(constB167)))))),
% 9.69/7.24 inference(rewrite,[status(thm)],[])).
% 9.69/7.24 tff(33548,plain,
% 9.69/7.24 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB167) <=> (~((~v139(constB167)) | (~v132(constB167)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB167) <=> (~((~v132(constB167)) | (~v139(constB167))))))),
% 9.69/7.24 inference(monotonicity,[status(thm)],[33547])).
% 9.69/7.24 tff(33549,plain,
% 9.69/7.24 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB167) <=> (~((~v139(constB167)) | (~v132(constB167)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB167) <=> (~((~v132(constB167)) | (~v139(constB167))))))),
% 9.69/7.24 inference(transitivity,[status(thm)],[33548, 33546])).
% 9.69/7.24 tff(33550,plain,
% 9.69/7.24 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB167) <=> (~((~v139(constB167)) | (~v132(constB167)))))),
% 9.69/7.24 inference(quant_inst,[status(thm)],[])).
% 9.69/7.24 tff(33551,plain,
% 9.69/7.24 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB167) <=> (~((~v132(constB167)) | (~v139(constB167)))))),
% 9.69/7.24 inference(modus_ponens,[status(thm)],[33550, 33549])).
% 9.69/7.24 tff(33552,plain,
% 9.69/7.24 (v138(constB167) <=> (~((~v132(constB167)) | (~v139(constB167))))),
% 9.69/7.24 inference(unit_resolution,[status(thm)],[33551, 644])).
% 9.69/7.24 tff(33553,plain,
% 9.69/7.24 (((~v132(constB167)) | (~v139(constB167))) | v139(constB167)),
% 9.69/7.24 inference(tautology,[status(thm)],[])).
% 9.69/7.24 tff(33554,plain,
% 9.69/7.24 ((~v132(constB167)) | (~v139(constB167))),
% 9.69/7.24 inference(unit_resolution,[status(thm)],[33553, 25664])).
% 9.69/7.24 tff(33555,plain,
% 9.69/7.24 ((~(v138(constB167) <=> (~((~v132(constB167)) | (~v139(constB167)))))) | (~v138(constB167)) | (~((~v132(constB167)) | (~v139(constB167))))),
% 9.69/7.24 inference(tautology,[status(thm)],[])).
% 9.69/7.24 tff(33556,plain,
% 9.69/7.24 (~v138(constB167)),
% 9.69/7.24 inference(unit_resolution,[status(thm)],[33555, 33554, 33552])).
% 9.69/7.24 tff(33557,plain,
% 9.69/7.24 ((~![VarCurr: $i] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB167) <=> (~((~v143(constB167)) | (~v144(constB167)))))),
% 9.69/7.24 inference(quant_inst,[status(thm)],[])).
% 9.69/7.24 tff(33558,plain,
% 9.69/7.24 (v142(constB167) <=> (~((~v143(constB167)) | (~v144(constB167))))),
% 9.69/7.24 inference(unit_resolution,[status(thm)],[33557, 596])).
% 9.69/7.24 tff(33559,plain,
% 9.69/7.24 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB167) <=> (~((~v141(constB167)) | (~v145(constB167)))))),
% 9.69/7.24 inference(quant_inst,[status(thm)],[])).
% 9.69/7.24 tff(33560,plain,
% 9.69/7.24 (v144(constB167) <=> (~((~v141(constB167)) | (~v145(constB167))))),
% 9.69/7.24 inference(unit_resolution,[status(thm)],[33559, 608])).
% 9.69/7.24 tff(33561,plain,
% 9.69/7.24 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB167) <=> (~(v84(constB167, bitIndex2) | v84(constB167, bitIndex1) | (~v84(constB167, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB167) <=> (~(v84(constB167, bitIndex2) | v84(constB167, bitIndex1) | (~v84(constB167, bitIndex0))))))),
% 9.69/7.24 inference(rewrite,[status(thm)],[])).
% 9.69/7.24 tff(33562,plain,
% 9.69/7.24 ((v145(constB167) <=> (~(v84(constB167, bitIndex1) | v84(constB167, bitIndex2) | (~v84(constB167, bitIndex0))))) <=> (v145(constB167) <=> (~(v84(constB167, bitIndex2) | v84(constB167, bitIndex1) | (~v84(constB167, bitIndex0)))))),
% 9.69/7.24 inference(rewrite,[status(thm)],[])).
% 9.69/7.24 tff(33563,plain,
% 9.69/7.24 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB167) <=> (~(v84(constB167, bitIndex1) | v84(constB167, bitIndex2) | (~v84(constB167, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB167) <=> (~(v84(constB167, bitIndex2) | v84(constB167, bitIndex1) | (~v84(constB167, bitIndex0))))))),
% 9.69/7.24 inference(monotonicity,[status(thm)],[33562])).
% 9.69/7.24 tff(33564,plain,
% 9.69/7.24 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB167) <=> (~(v84(constB167, bitIndex1) | v84(constB167, bitIndex2) | (~v84(constB167, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB167) <=> (~(v84(constB167, bitIndex2) | v84(constB167, bitIndex1) | (~v84(constB167, bitIndex0))))))),
% 9.69/7.24 inference(transitivity,[status(thm)],[33563, 33561])).
% 9.69/7.24 tff(33565,plain,
% 9.69/7.24 ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB167) <=> (~(v84(constB167, bitIndex1) | v84(constB167, bitIndex2) | (~v84(constB167, bitIndex0)))))),
% 9.69/7.24 inference(quant_inst,[status(thm)],[])).
% 9.69/7.24 tff(33566,plain,
% 9.69/7.24 ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB167) <=> (~(v84(constB167, bitIndex2) | v84(constB167, bitIndex1) | (~v84(constB167, bitIndex0)))))),
% 9.69/7.24 inference(modus_ponens,[status(thm)],[33565, 33564])).
% 9.69/7.24 tff(33567,plain,
% 9.69/7.24 (v145(constB167) <=> (~(v84(constB167, bitIndex2) | v84(constB167, bitIndex1) | (~v84(constB167, bitIndex0))))),
% 9.69/7.24 inference(unit_resolution,[status(thm)],[33566, 755])).
% 9.69/7.24 tff(33568,plain,
% 9.69/7.24 ((v84(constB167, bitIndex2) | v84(constB167, bitIndex1) | (~v84(constB167, bitIndex0))) | (~v84(constB167, bitIndex2))),
% 9.69/7.24 inference(tautology,[status(thm)],[])).
% 9.69/7.24 tff(33569,plain,
% 9.69/7.24 (v84(constB167, bitIndex2) | v84(constB167, bitIndex1) | (~v84(constB167, bitIndex0))),
% 9.69/7.24 inference(unit_resolution,[status(thm)],[33568, 23367])).
% 9.69/7.24 tff(33570,plain,
% 9.69/7.24 ((~(v145(constB167) <=> (~(v84(constB167, bitIndex2) | v84(constB167, bitIndex1) | (~v84(constB167, bitIndex0)))))) | (~v145(constB167)) | (~(v84(constB167, bitIndex2) | v84(constB167, bitIndex1) | (~v84(constB167, bitIndex0))))),
% 9.69/7.24 inference(tautology,[status(thm)],[])).
% 9.69/7.24 tff(33571,plain,
% 9.69/7.24 (~v145(constB167)),
% 9.69/7.24 inference(unit_resolution,[status(thm)],[33570, 33569, 33567])).
% 9.69/7.24 tff(33572,plain,
% 9.69/7.24 (((~v141(constB167)) | (~v145(constB167))) | v145(constB167)),
% 9.69/7.24 inference(tautology,[status(thm)],[])).
% 9.69/7.24 tff(33573,plain,
% 9.69/7.24 ((~v141(constB167)) | (~v145(constB167))),
% 9.69/7.24 inference(unit_resolution,[status(thm)],[33572, 33571])).
% 9.69/7.24 tff(33574,plain,
% 9.69/7.24 ((~(v144(constB167) <=> (~((~v141(constB167)) | (~v145(constB167)))))) | (~v144(constB167)) | (~((~v141(constB167)) | (~v145(constB167))))),
% 9.69/7.24 inference(tautology,[status(thm)],[])).
% 9.69/7.24 tff(33575,plain,
% 9.69/7.24 (~v144(constB167)),
% 9.69/7.24 inference(unit_resolution,[status(thm)],[33574, 33573, 33560])).
% 9.69/7.24 tff(33576,plain,
% 9.69/7.24 (((~v143(constB167)) | (~v144(constB167))) | v144(constB167)),
% 9.69/7.24 inference(tautology,[status(thm)],[])).
% 9.69/7.24 tff(33577,plain,
% 9.69/7.24 ((~v143(constB167)) | (~v144(constB167))),
% 9.69/7.24 inference(unit_resolution,[status(thm)],[33576, 33575])).
% 9.69/7.24 tff(33578,plain,
% 9.69/7.24 ((~(v142(constB167) <=> (~((~v143(constB167)) | (~v144(constB167)))))) | (~v142(constB167)) | (~((~v143(constB167)) | (~v144(constB167))))),
% 9.69/7.24 inference(tautology,[status(thm)],[])).
% 9.69/7.24 tff(33579,plain,
% 9.69/7.24 (~v142(constB167)),
% 9.69/7.24 inference(unit_resolution,[status(thm)],[33578, 33577, 33558])).
% 9.69/7.24 tff(33580,plain,
% 9.69/7.24 ((~(v138(constB167) | v142(constB167))) | v138(constB167) | v142(constB167)),
% 9.69/7.24 inference(tautology,[status(thm)],[])).
% 9.69/7.24 tff(33581,plain,
% 9.69/7.24 (~(v138(constB167) | v142(constB167))),
% 9.69/7.24 inference(unit_resolution,[status(thm)],[33580, 33579, 33556])).
% 9.69/7.24 tff(33582,plain,
% 9.69/7.24 ((~(v135(constB167) <=> (v138(constB167) | v142(constB167)))) | (~v135(constB167)) | (v138(constB167) | v142(constB167))),
% 9.69/7.24 inference(tautology,[status(thm)],[])).
% 9.69/7.25 tff(33583,plain,
% 9.69/7.25 (~v135(constB167)),
% 9.69/7.25 inference(unit_resolution,[status(thm)],[33582, 33581, 33545])).
% 9.69/7.25 tff(33584,plain,
% 9.69/7.25 ((~(v137(constB168) <=> v135(constB167))) | (~v137(constB168)) | v135(constB167)),
% 9.69/7.25 inference(tautology,[status(thm)],[])).
% 9.69/7.25 tff(33585,plain,
% 9.69/7.25 (~v137(constB168)),
% 9.69/7.25 inference(unit_resolution,[status(thm)],[33584, 33583, 33543])).
% 9.69/7.25 tff(33586,plain,
% 9.69/7.25 ((~(v132(constB168) <=> v137(constB168))) | (~v132(constB168)) | v137(constB168)),
% 9.69/7.25 inference(tautology,[status(thm)],[])).
% 9.69/7.25 tff(33587,plain,
% 9.69/7.25 (~v132(constB168)),
% 9.69/7.25 inference(unit_resolution,[status(thm)],[33586, 33585, 33539])).
% 9.69/7.25 tff(33588,plain,
% 9.69/7.25 (((~v132(constB168)) | (~v139(constB168))) | v132(constB168)),
% 9.69/7.25 inference(tautology,[status(thm)],[])).
% 9.69/7.25 tff(33589,plain,
% 9.69/7.25 ((~v132(constB168)) | (~v139(constB168))),
% 9.69/7.25 inference(unit_resolution,[status(thm)],[33588, 33587])).
% 9.69/7.25 tff(33590,plain,
% 9.69/7.25 ((~(v138(constB168) <=> (~((~v132(constB168)) | (~v139(constB168)))))) | (~v138(constB168)) | (~((~v132(constB168)) | (~v139(constB168))))),
% 9.69/7.25 inference(tautology,[status(thm)],[])).
% 9.69/7.25 tff(33591,plain,
% 9.69/7.25 (~v138(constB168)),
% 9.69/7.25 inference(unit_resolution,[status(thm)],[33590, 33589, 33537])).
% 9.69/7.25 tff(33592,plain,
% 9.69/7.25 ((~(v138(constB168) | v142(constB168))) | v138(constB168) | v142(constB168)),
% 9.69/7.25 inference(tautology,[status(thm)],[])).
% 9.69/7.25 tff(33593,plain,
% 9.69/7.25 (~(v138(constB168) | v142(constB168))),
% 9.69/7.25 inference(unit_resolution,[status(thm)],[33592, 33591, 33530])).
% 9.69/7.25 tff(33594,plain,
% 9.69/7.25 ((~(v135(constB168) <=> (v138(constB168) | v142(constB168)))) | (~v135(constB168)) | (v138(constB168) | v142(constB168))),
% 9.69/7.25 inference(tautology,[status(thm)],[])).
% 9.69/7.25 tff(33595,plain,
% 9.69/7.25 (~v135(constB168)),
% 9.69/7.25 inference(unit_resolution,[status(thm)],[33594, 33593, 33517])).
% 9.69/7.25 tff(33596,plain,
% 9.69/7.25 ((~(v137(constB169) <=> v135(constB168))) | (~v137(constB169)) | v135(constB168)),
% 9.69/7.25 inference(tautology,[status(thm)],[])).
% 9.69/7.25 tff(33597,plain,
% 9.69/7.25 (~v137(constB169)),
% 9.69/7.25 inference(unit_resolution,[status(thm)],[33596, 33595, 33515])).
% 9.69/7.25 tff(33598,plain,
% 9.69/7.25 ((~(v132(constB169) <=> v137(constB169))) | (~v132(constB169)) | v137(constB169)),
% 9.69/7.25 inference(tautology,[status(thm)],[])).
% 9.69/7.25 tff(33599,plain,
% 9.69/7.25 (~v132(constB169)),
% 9.69/7.25 inference(unit_resolution,[status(thm)],[33598, 33597, 33511])).
% 9.69/7.25 tff(33600,plain,
% 9.69/7.25 (((~v132(constB169)) | (~v154(constB169))) | v132(constB169)),
% 9.69/7.25 inference(tautology,[status(thm)],[])).
% 9.69/7.25 tff(33601,plain,
% 9.69/7.25 ((~v132(constB169)) | (~v154(constB169))),
% 9.69/7.25 inference(unit_resolution,[status(thm)],[33600, 33599])).
% 9.69/7.25 tff(33602,plain,
% 9.69/7.25 ((~(v153(constB169) <=> (~((~v132(constB169)) | (~v154(constB169)))))) | (~v153(constB169)) | (~((~v132(constB169)) | (~v154(constB169))))),
% 9.69/7.25 inference(tautology,[status(thm)],[])).
% 9.69/7.25 tff(33603,plain,
% 9.69/7.25 (~v153(constB169)),
% 9.69/7.25 inference(unit_resolution,[status(thm)],[33602, 33601, 33509])).
% 9.69/7.25 tff(33604,plain,
% 9.69/7.25 ((~(v153(constB169) | v155(constB169))) | v153(constB169) | v155(constB169)),
% 9.69/7.25 inference(tautology,[status(thm)],[])).
% 9.69/7.25 tff(33605,plain,
% 9.69/7.25 (~(v153(constB169) | v155(constB169))),
% 9.69/7.25 inference(unit_resolution,[status(thm)],[33604, 33603, 33502])).
% 9.69/7.25 tff(33606,plain,
% 9.69/7.25 ((~(v150(constB169) <=> (v153(constB169) | v155(constB169)))) | (~v150(constB169)) | (v153(constB169) | v155(constB169))),
% 9.69/7.25 inference(tautology,[status(thm)],[])).
% 9.69/7.25 tff(33607,plain,
% 9.69/7.25 (~v150(constB169)),
% 9.69/7.25 inference(unit_resolution,[status(thm)],[33606, 33605, 33491])).
% 9.69/7.25 tff(33608,plain,
% 9.69/7.25 ((~(v152(constB170) <=> v150(constB169))) | (~v152(constB170)) | v150(constB169)),
% 9.69/7.25 inference(tautology,[status(thm)],[])).
% 9.69/7.25 tff(33609,plain,
% 9.69/7.25 (~v152(constB170)),
% 9.69/7.25 inference(unit_resolution,[status(thm)],[33608, 33607, 33489])).
% 9.69/7.25 tff(33610,plain,
% 9.69/7.25 ((~(v130(constB170) <=> v152(constB170))) | (~v130(constB170)) | v152(constB170)),
% 9.69/7.25 inference(tautology,[status(thm)],[])).
% 9.69/7.25 tff(33611,plain,
% 9.69/7.25 (~v130(constB170)),
% 9.69/7.25 inference(unit_resolution,[status(thm)],[33610, 33609, 33485])).
% 9.69/7.25 tff(33612,plain,
% 9.69/7.25 (((~v130(constB170)) | (~v139(constB170))) | v130(constB170)),
% 9.69/7.25 inference(tautology,[status(thm)],[])).
% 9.69/7.25 tff(33613,plain,
% 9.69/7.25 ((~v130(constB170)) | (~v139(constB170))),
% 9.69/7.25 inference(unit_resolution,[status(thm)],[33612, 33611])).
% 9.69/7.25 tff(33614,plain,
% 9.69/7.25 ((~(v155(constB170) <=> (~((~v130(constB170)) | (~v139(constB170)))))) | (~v155(constB170)) | (~((~v130(constB170)) | (~v139(constB170))))),
% 9.69/7.25 inference(tautology,[status(thm)],[])).
% 9.69/7.25 tff(33615,plain,
% 9.69/7.25 (~v155(constB170)),
% 9.69/7.25 inference(unit_resolution,[status(thm)],[33614, 33613, 33483])).
% 9.69/7.25 tff(33616,plain,
% 9.69/7.25 ((~(v153(constB170) | v155(constB170))) | v153(constB170) | v155(constB170)),
% 9.69/7.25 inference(tautology,[status(thm)],[])).
% 9.69/7.25 tff(33617,plain,
% 9.69/7.25 (~(v153(constB170) | v155(constB170))),
% 9.69/7.25 inference(unit_resolution,[status(thm)],[33616, 33615, 33476])).
% 9.69/7.25 tff(33618,plain,
% 9.69/7.25 ((~(v150(constB170) <=> (v153(constB170) | v155(constB170)))) | (~v150(constB170)) | (v153(constB170) | v155(constB170))),
% 9.69/7.25 inference(tautology,[status(thm)],[])).
% 9.69/7.25 tff(33619,plain,
% 9.69/7.25 (~v150(constB170)),
% 9.69/7.25 inference(unit_resolution,[status(thm)],[33618, 33617, 33453])).
% 9.69/7.25 tff(33620,plain,
% 9.69/7.25 ((~(v152(constB171) <=> v150(constB170))) | (~v152(constB171)) | v150(constB170)),
% 9.69/7.25 inference(tautology,[status(thm)],[])).
% 9.69/7.25 tff(33621,plain,
% 9.69/7.25 (~v152(constB171)),
% 9.69/7.25 inference(unit_resolution,[status(thm)],[33620, 33619, 33451])).
% 9.69/7.25 tff(33622,plain,
% 9.69/7.25 ((~(v130(constB171) <=> v152(constB171))) | (~v130(constB171)) | v152(constB171)),
% 9.69/7.25 inference(tautology,[status(thm)],[])).
% 9.69/7.25 tff(33623,plain,
% 9.69/7.25 (~v130(constB171)),
% 9.69/7.25 inference(unit_resolution,[status(thm)],[33622, 33621, 33447])).
% 9.69/7.25 tff(33624,plain,
% 9.69/7.25 (((~v130(constB171)) | (~v154(constB171))) | v130(constB171)),
% 9.69/7.25 inference(tautology,[status(thm)],[])).
% 9.69/7.25 tff(33625,plain,
% 9.69/7.25 ((~v130(constB171)) | (~v154(constB171))),
% 9.69/7.25 inference(unit_resolution,[status(thm)],[33624, 33623])).
% 9.69/7.25 tff(33626,plain,
% 9.69/7.25 ((~(v164(constB171) <=> (~((~v130(constB171)) | (~v154(constB171)))))) | (~v164(constB171)) | (~((~v130(constB171)) | (~v154(constB171))))),
% 9.69/7.25 inference(tautology,[status(thm)],[])).
% 9.69/7.25 tff(33627,plain,
% 9.69/7.25 (~v164(constB171)),
% 9.69/7.25 inference(unit_resolution,[status(thm)],[33626, 33625, 33445])).
% 9.69/7.25 tff(33628,plain,
% 9.69/7.25 ((~(v163(constB171) | v164(constB171))) | v163(constB171) | v164(constB171)),
% 9.69/7.25 inference(tautology,[status(thm)],[])).
% 9.69/7.25 tff(33629,plain,
% 9.69/7.25 (~(v163(constB171) | v164(constB171))),
% 9.69/7.25 inference(unit_resolution,[status(thm)],[33628, 33627, 33438])).
% 9.69/7.25 tff(33630,plain,
% 9.69/7.25 ((~(v160(constB171) <=> (v163(constB171) | v164(constB171)))) | (~v160(constB171)) | (v163(constB171) | v164(constB171))),
% 9.69/7.25 inference(tautology,[status(thm)],[])).
% 9.69/7.25 tff(33631,plain,
% 9.69/7.25 (~v160(constB171)),
% 9.69/7.25 inference(unit_resolution,[status(thm)],[33630, 33629, 33427])).
% 9.69/7.25 tff(33632,plain,
% 9.69/7.25 ((~(v162(constB172) <=> v160(constB171))) | (~v162(constB172)) | v160(constB171)),
% 9.69/7.25 inference(tautology,[status(thm)],[])).
% 9.69/7.25 tff(33633,plain,
% 9.69/7.25 (~v162(constB172)),
% 9.69/7.25 inference(unit_resolution,[status(thm)],[33632, 33631, 33425])).
% 9.69/7.25 tff(33634,plain,
% 9.69/7.25 ((~(v128(constB172) <=> v162(constB172))) | (~v128(constB172)) | v162(constB172)),
% 9.69/7.25 inference(tautology,[status(thm)],[])).
% 9.69/7.25 tff(33635,plain,
% 9.69/7.25 (~v128(constB172)),
% 9.69/7.25 inference(unit_resolution,[status(thm)],[33634, 33633, 33421])).
% 9.69/7.25 tff(33636,plain,
% 9.69/7.25 (((~v128(constB172)) | (~v139(constB172))) | v128(constB172)),
% 9.69/7.25 inference(tautology,[status(thm)],[])).
% 9.69/7.25 tff(33637,plain,
% 9.69/7.25 ((~v128(constB172)) | (~v139(constB172))),
% 9.69/7.25 inference(unit_resolution,[status(thm)],[33636, 33635])).
% 9.69/7.25 tff(33638,plain,
% 9.69/7.25 ((~(v163(constB172) <=> (~((~v128(constB172)) | (~v139(constB172)))))) | (~v163(constB172)) | (~((~v128(constB172)) | (~v139(constB172))))),
% 9.69/7.25 inference(tautology,[status(thm)],[])).
% 9.69/7.25 tff(33639,plain,
% 9.69/7.25 (~v163(constB172)),
% 9.69/7.25 inference(unit_resolution,[status(thm)],[33638, 33637, 33419])).
% 9.69/7.25 tff(33640,plain,
% 9.69/7.25 ((~(v163(constB172) | v164(constB172))) | v163(constB172) | v164(constB172)),
% 9.69/7.25 inference(tautology,[status(thm)],[])).
% 9.69/7.25 tff(33641,plain,
% 9.69/7.25 (~(v163(constB172) | v164(constB172))),
% 9.69/7.25 inference(unit_resolution,[status(thm)],[33640, 33639, 33412])).
% 9.69/7.25 tff(33642,plain,
% 9.69/7.25 ((~(v160(constB172) <=> (v163(constB172) | v164(constB172)))) | (~v160(constB172)) | (v163(constB172) | v164(constB172))),
% 9.69/7.25 inference(tautology,[status(thm)],[])).
% 9.69/7.25 tff(33643,plain,
% 9.69/7.25 (~v160(constB172)),
% 9.69/7.25 inference(unit_resolution,[status(thm)],[33642, 33641, 33401])).
% 9.69/7.25 tff(33644,plain,
% 9.69/7.25 ((~(v162(constB173) <=> v160(constB172))) | (~v162(constB173)) | v160(constB172)),
% 9.69/7.25 inference(tautology,[status(thm)],[])).
% 9.69/7.25 tff(33645,plain,
% 9.69/7.25 (~v162(constB173)),
% 9.69/7.25 inference(unit_resolution,[status(thm)],[33644, 33643, 33399])).
% 9.69/7.25 tff(33646,plain,
% 9.69/7.25 ($false),
% 9.69/7.25 inference(unit_resolution,[status(thm)],[33645, 33395])).
% 9.69/7.25 tff(33647,plain,(~(constB173 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.69/7.25 tff(33648,assumption,(constB23 = VarCurr!0), introduced(assumption)).
% 9.69/7.25 tff(33649,plain,
% 9.69/7.25 (v162(constB23) <=> v162(VarCurr!0)),
% 9.69/7.25 inference(monotonicity,[status(thm)],[33648])).
% 9.69/7.25 tff(33650,plain,
% 9.69/7.25 (v162(VarCurr!0) <=> v162(constB23)),
% 9.69/7.25 inference(symmetry,[status(thm)],[33649])).
% 9.69/7.25 tff(33651,plain,
% 9.69/7.25 (v162(constB23)),
% 9.69/7.25 inference(modus_ponens,[status(thm)],[59, 33650])).
% 9.69/7.25 tff(33652,plain,
% 9.69/7.25 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB22, constB23)) | (v162(constB23) <=> v160(constB22)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB22, constB23)) | (v162(constB23) <=> v160(constB22)))),
% 9.69/7.25 inference(rewrite,[status(thm)],[])).
% 9.69/7.25 tff(33653,plain,
% 9.69/7.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB22, constB23)) | (v162(constB23) <=> v160(constB22)))),
% 9.69/7.25 inference(quant_inst,[status(thm)],[])).
% 9.69/7.25 tff(33654,plain,
% 9.69/7.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB22, constB23)) | (v162(constB23) <=> v160(constB22))),
% 9.69/7.25 inference(modus_ponens,[status(thm)],[33653, 33652])).
% 9.69/7.25 tff(33655,plain,
% 9.69/7.25 (v162(constB23) <=> v160(constB22)),
% 9.69/7.25 inference(unit_resolution,[status(thm)],[33654, 8721, 70])).
% 9.69/7.25 tff(33656,plain,
% 9.69/7.25 ((~![VarCurr: $i] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB22) <=> (v163(constB22) | v164(constB22)))),
% 9.69/7.25 inference(quant_inst,[status(thm)],[])).
% 9.69/7.25 tff(33657,plain,
% 9.69/7.25 (v160(constB22) <=> (v163(constB22) | v164(constB22))),
% 9.69/7.25 inference(unit_resolution,[status(thm)],[33656, 84])).
% 9.69/7.25 tff(33658,plain,
% 9.69/7.25 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB22) <=> (~((~v130(constB22)) | (~v154(constB22)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB22) <=> (~((~v130(constB22)) | (~v154(constB22))))))),
% 9.69/7.25 inference(rewrite,[status(thm)],[])).
% 9.69/7.25 tff(33659,plain,
% 9.69/7.25 ((v164(constB22) <=> (~((~v154(constB22)) | (~v130(constB22))))) <=> (v164(constB22) <=> (~((~v130(constB22)) | (~v154(constB22)))))),
% 9.69/7.25 inference(rewrite,[status(thm)],[])).
% 9.69/7.25 tff(33660,plain,
% 9.69/7.25 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB22) <=> (~((~v154(constB22)) | (~v130(constB22)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB22) <=> (~((~v130(constB22)) | (~v154(constB22))))))),
% 9.69/7.25 inference(monotonicity,[status(thm)],[33659])).
% 9.69/7.25 tff(33661,plain,
% 9.69/7.25 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB22) <=> (~((~v154(constB22)) | (~v130(constB22)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB22) <=> (~((~v130(constB22)) | (~v154(constB22))))))),
% 9.69/7.25 inference(transitivity,[status(thm)],[33660, 33658])).
% 9.69/7.25 tff(33662,plain,
% 9.69/7.25 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB22) <=> (~((~v154(constB22)) | (~v130(constB22)))))),
% 9.69/7.25 inference(quant_inst,[status(thm)],[])).
% 9.69/7.25 tff(33663,plain,
% 9.69/7.25 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB22) <=> (~((~v130(constB22)) | (~v154(constB22)))))),
% 9.69/7.25 inference(modus_ponens,[status(thm)],[33662, 33661])).
% 9.69/7.25 tff(33664,plain,
% 9.69/7.25 (v164(constB22) <=> (~((~v130(constB22)) | (~v154(constB22))))),
% 9.69/7.25 inference(unit_resolution,[status(thm)],[33663, 96])).
% 9.69/7.25 tff(33665,plain,
% 9.69/7.25 (((~v130(constB22)) | (~v154(constB22))) | v154(constB22)),
% 9.69/7.25 inference(tautology,[status(thm)],[])).
% 9.69/7.25 tff(33666,plain,
% 9.69/7.25 ((~v130(constB22)) | (~v154(constB22))),
% 9.69/7.25 inference(unit_resolution,[status(thm)],[33665, 26283])).
% 9.69/7.25 tff(33667,plain,
% 9.69/7.25 ((~(v164(constB22) <=> (~((~v130(constB22)) | (~v154(constB22)))))) | (~v164(constB22)) | (~((~v130(constB22)) | (~v154(constB22))))),
% 9.69/7.25 inference(tautology,[status(thm)],[])).
% 9.69/7.25 tff(33668,plain,
% 9.69/7.25 (~v164(constB22)),
% 9.69/7.25 inference(unit_resolution,[status(thm)],[33667, 33666, 33664])).
% 9.69/7.25 tff(33669,plain,
% 9.69/7.25 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB22) <=> (~((~v128(constB22)) | (~v139(constB22)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB22) <=> (~((~v128(constB22)) | (~v139(constB22))))))),
% 9.69/7.25 inference(rewrite,[status(thm)],[])).
% 9.69/7.25 tff(33670,plain,
% 9.69/7.25 ((v163(constB22) <=> (~((~v139(constB22)) | (~v128(constB22))))) <=> (v163(constB22) <=> (~((~v128(constB22)) | (~v139(constB22)))))),
% 9.69/7.25 inference(rewrite,[status(thm)],[])).
% 9.69/7.25 tff(33671,plain,
% 9.69/7.25 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB22) <=> (~((~v139(constB22)) | (~v128(constB22)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB22) <=> (~((~v128(constB22)) | (~v139(constB22))))))),
% 9.69/7.25 inference(monotonicity,[status(thm)],[33670])).
% 9.69/7.25 tff(33672,plain,
% 9.69/7.25 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB22) <=> (~((~v139(constB22)) | (~v128(constB22)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB22) <=> (~((~v128(constB22)) | (~v139(constB22))))))),
% 9.69/7.25 inference(transitivity,[status(thm)],[33671, 33669])).
% 9.69/7.25 tff(33673,plain,
% 9.69/7.25 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB22) <=> (~((~v139(constB22)) | (~v128(constB22)))))),
% 9.69/7.25 inference(quant_inst,[status(thm)],[])).
% 9.69/7.25 tff(33674,plain,
% 9.69/7.25 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB22) <=> (~((~v128(constB22)) | (~v139(constB22)))))),
% 9.69/7.25 inference(modus_ponens,[status(thm)],[33673, 33672])).
% 9.69/7.25 tff(33675,plain,
% 9.69/7.25 (v163(constB22) <=> (~((~v128(constB22)) | (~v139(constB22))))),
% 9.69/7.25 inference(unit_resolution,[status(thm)],[33674, 171])).
% 9.69/7.25 tff(33676,plain,
% 9.69/7.25 ((~![VarNext: $i] : (v128(VarNext) <=> v162(VarNext))) | (v128(constB22) <=> v162(constB22))),
% 9.69/7.25 inference(quant_inst,[status(thm)],[])).
% 9.69/7.25 tff(33677,plain,
% 9.69/7.25 (v128(constB22) <=> v162(constB22)),
% 9.69/7.25 inference(unit_resolution,[status(thm)],[33676, 13])).
% 9.69/7.25 tff(33678,plain,
% 9.69/7.25 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB21, constB22)) | (v162(constB22) <=> v160(constB21)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB21, constB22)) | (v162(constB22) <=> v160(constB21)))),
% 9.69/7.25 inference(rewrite,[status(thm)],[])).
% 9.69/7.25 tff(33679,plain,
% 9.69/7.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB21, constB22)) | (v162(constB22) <=> v160(constB21)))),
% 9.69/7.25 inference(quant_inst,[status(thm)],[])).
% 9.69/7.25 tff(33680,plain,
% 9.69/7.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB21, constB22)) | (v162(constB22) <=> v160(constB21))),
% 9.69/7.25 inference(modus_ponens,[status(thm)],[33679, 33678])).
% 9.69/7.25 tff(33681,plain,
% 9.69/7.25 (v162(constB22) <=> v160(constB21)),
% 9.69/7.25 inference(unit_resolution,[status(thm)],[33680, 8753, 70])).
% 9.69/7.25 tff(33682,plain,
% 9.69/7.25 ((~![VarCurr: $i] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB21) <=> (v163(constB21) | v164(constB21)))),
% 9.69/7.25 inference(quant_inst,[status(thm)],[])).
% 9.69/7.25 tff(33683,plain,
% 9.69/7.25 (v160(constB21) <=> (v163(constB21) | v164(constB21))),
% 9.69/7.25 inference(unit_resolution,[status(thm)],[33682, 84])).
% 9.69/7.25 tff(33684,plain,
% 9.69/7.25 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB21) <=> (~((~v128(constB21)) | (~v139(constB21)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB21) <=> (~((~v128(constB21)) | (~v139(constB21))))))),
% 9.69/7.25 inference(rewrite,[status(thm)],[])).
% 9.69/7.25 tff(33685,plain,
% 9.69/7.25 ((v163(constB21) <=> (~((~v139(constB21)) | (~v128(constB21))))) <=> (v163(constB21) <=> (~((~v128(constB21)) | (~v139(constB21)))))),
% 9.69/7.25 inference(rewrite,[status(thm)],[])).
% 9.69/7.25 tff(33686,plain,
% 9.69/7.25 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB21) <=> (~((~v139(constB21)) | (~v128(constB21)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB21) <=> (~((~v128(constB21)) | (~v139(constB21))))))),
% 9.69/7.25 inference(monotonicity,[status(thm)],[33685])).
% 9.69/7.25 tff(33687,plain,
% 9.69/7.25 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB21) <=> (~((~v139(constB21)) | (~v128(constB21)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB21) <=> (~((~v128(constB21)) | (~v139(constB21))))))),
% 9.69/7.25 inference(transitivity,[status(thm)],[33686, 33684])).
% 9.69/7.25 tff(33688,plain,
% 9.69/7.25 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB21) <=> (~((~v139(constB21)) | (~v128(constB21)))))),
% 9.69/7.25 inference(quant_inst,[status(thm)],[])).
% 9.69/7.25 tff(33689,plain,
% 9.69/7.25 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB21) <=> (~((~v128(constB21)) | (~v139(constB21)))))),
% 9.69/7.25 inference(modus_ponens,[status(thm)],[33688, 33687])).
% 9.69/7.25 tff(33690,plain,
% 9.69/7.25 (v163(constB21) <=> (~((~v128(constB21)) | (~v139(constB21))))),
% 9.69/7.25 inference(unit_resolution,[status(thm)],[33689, 171])).
% 9.69/7.25 tff(33691,plain,
% 9.69/7.25 (((~v128(constB21)) | (~v139(constB21))) | v139(constB21)),
% 9.69/7.25 inference(tautology,[status(thm)],[])).
% 9.69/7.25 tff(33692,plain,
% 9.69/7.25 ((~v128(constB21)) | (~v139(constB21))),
% 9.69/7.25 inference(unit_resolution,[status(thm)],[33691, 26371])).
% 9.69/7.25 tff(33693,plain,
% 9.69/7.25 ((~(v163(constB21) <=> (~((~v128(constB21)) | (~v139(constB21)))))) | (~v163(constB21)) | (~((~v128(constB21)) | (~v139(constB21))))),
% 9.69/7.25 inference(tautology,[status(thm)],[])).
% 9.69/7.25 tff(33694,plain,
% 9.69/7.25 (~v163(constB21)),
% 9.69/7.25 inference(unit_resolution,[status(thm)],[33693, 33692, 33690])).
% 9.69/7.25 tff(33695,plain,
% 9.69/7.25 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB21) <=> (~((~v130(constB21)) | (~v154(constB21)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB21) <=> (~((~v130(constB21)) | (~v154(constB21))))))),
% 9.69/7.25 inference(rewrite,[status(thm)],[])).
% 9.69/7.25 tff(33696,plain,
% 9.69/7.25 ((v164(constB21) <=> (~((~v154(constB21)) | (~v130(constB21))))) <=> (v164(constB21) <=> (~((~v130(constB21)) | (~v154(constB21)))))),
% 9.69/7.25 inference(rewrite,[status(thm)],[])).
% 9.69/7.25 tff(33697,plain,
% 9.69/7.25 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB21) <=> (~((~v154(constB21)) | (~v130(constB21)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB21) <=> (~((~v130(constB21)) | (~v154(constB21))))))),
% 9.69/7.25 inference(monotonicity,[status(thm)],[33696])).
% 9.69/7.25 tff(33698,plain,
% 9.69/7.25 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB21) <=> (~((~v154(constB21)) | (~v130(constB21)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB21) <=> (~((~v130(constB21)) | (~v154(constB21))))))),
% 9.69/7.25 inference(transitivity,[status(thm)],[33697, 33695])).
% 9.69/7.25 tff(33699,plain,
% 9.69/7.25 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB21) <=> (~((~v154(constB21)) | (~v130(constB21)))))),
% 9.69/7.25 inference(quant_inst,[status(thm)],[])).
% 9.69/7.25 tff(33700,plain,
% 9.69/7.25 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB21) <=> (~((~v130(constB21)) | (~v154(constB21)))))),
% 9.69/7.25 inference(modus_ponens,[status(thm)],[33699, 33698])).
% 9.69/7.25 tff(33701,plain,
% 9.69/7.25 (v164(constB21) <=> (~((~v130(constB21)) | (~v154(constB21))))),
% 9.69/7.25 inference(unit_resolution,[status(thm)],[33700, 96])).
% 9.69/7.25 tff(33702,plain,
% 9.69/7.25 ((~![VarNext: $i] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB21) <=> v152(constB21))),
% 9.69/7.25 inference(quant_inst,[status(thm)],[])).
% 9.69/7.25 tff(33703,plain,
% 9.69/7.25 (v130(constB21) <=> v152(constB21)),
% 9.69/7.25 inference(unit_resolution,[status(thm)],[33702, 361])).
% 9.69/7.25 tff(33704,plain,
% 9.69/7.25 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB20, constB21)) | (v152(constB21) <=> v150(constB20)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB20, constB21)) | (v152(constB21) <=> v150(constB20)))),
% 9.69/7.25 inference(rewrite,[status(thm)],[])).
% 9.69/7.25 tff(33705,plain,
% 9.69/7.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB20, constB21)) | (v152(constB21) <=> v150(constB20)))),
% 9.69/7.25 inference(quant_inst,[status(thm)],[])).
% 9.69/7.25 tff(33706,plain,
% 9.69/7.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB20, constB21)) | (v152(constB21) <=> v150(constB20))),
% 9.69/7.25 inference(modus_ponens,[status(thm)],[33705, 33704])).
% 9.69/7.25 tff(33707,plain,
% 9.69/7.25 (v152(constB21) <=> v150(constB20)),
% 9.69/7.25 inference(unit_resolution,[status(thm)],[33706, 8812, 373])).
% 9.69/7.25 tff(33708,plain,
% 9.69/7.25 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v153(VarCurr) | v155(VarCurr)))) | (v150(constB20) <=> (v153(constB20) | v155(constB20)))),
% 9.69/7.25 inference(quant_inst,[status(thm)],[])).
% 9.69/7.25 tff(33709,plain,
% 9.69/7.25 (v150(constB20) <=> (v153(constB20) | v155(constB20))),
% 9.69/7.25 inference(unit_resolution,[status(thm)],[33708, 387])).
% 9.69/7.25 tff(33710,plain,
% 9.69/7.25 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB20) <=> (~((~v132(constB20)) | (~v154(constB20)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB20) <=> (~((~v132(constB20)) | (~v154(constB20))))))),
% 9.69/7.25 inference(rewrite,[status(thm)],[])).
% 9.69/7.25 tff(33711,plain,
% 9.69/7.25 ((v153(constB20) <=> (~((~v154(constB20)) | (~v132(constB20))))) <=> (v153(constB20) <=> (~((~v132(constB20)) | (~v154(constB20)))))),
% 9.69/7.25 inference(rewrite,[status(thm)],[])).
% 9.69/7.25 tff(33712,plain,
% 9.69/7.25 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB20) <=> (~((~v154(constB20)) | (~v132(constB20)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB20) <=> (~((~v132(constB20)) | (~v154(constB20))))))),
% 9.69/7.25 inference(monotonicity,[status(thm)],[33711])).
% 9.69/7.25 tff(33713,plain,
% 9.69/7.25 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB20) <=> (~((~v154(constB20)) | (~v132(constB20)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB20) <=> (~((~v132(constB20)) | (~v154(constB20))))))),
% 9.69/7.25 inference(transitivity,[status(thm)],[33712, 33710])).
% 9.69/7.25 tff(33714,plain,
% 9.69/7.25 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB20) <=> (~((~v154(constB20)) | (~v132(constB20)))))),
% 9.69/7.25 inference(quant_inst,[status(thm)],[])).
% 9.69/7.25 tff(33715,plain,
% 9.69/7.25 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB20) <=> (~((~v132(constB20)) | (~v154(constB20)))))),
% 9.69/7.25 inference(modus_ponens,[status(thm)],[33714, 33713])).
% 9.69/7.25 tff(33716,plain,
% 9.69/7.25 (v153(constB20) <=> (~((~v132(constB20)) | (~v154(constB20))))),
% 9.69/7.25 inference(unit_resolution,[status(thm)],[33715, 399])).
% 9.69/7.25 tff(33717,plain,
% 9.69/7.25 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB20) <=> (~((~v141(constB20)) | (~v143(constB20)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB20) <=> (~((~v141(constB20)) | (~v143(constB20))))))),
% 9.69/7.25 inference(rewrite,[status(thm)],[])).
% 9.69/7.25 tff(33718,plain,
% 9.69/7.25 ((v154(constB20) <=> (~((~v143(constB20)) | (~v141(constB20))))) <=> (v154(constB20) <=> (~((~v141(constB20)) | (~v143(constB20)))))),
% 9.69/7.25 inference(rewrite,[status(thm)],[])).
% 9.69/7.25 tff(33719,plain,
% 9.69/7.25 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB20) <=> (~((~v143(constB20)) | (~v141(constB20)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB20) <=> (~((~v141(constB20)) | (~v143(constB20))))))),
% 9.69/7.25 inference(monotonicity,[status(thm)],[33718])).
% 9.69/7.25 tff(33720,plain,
% 9.69/7.25 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB20) <=> (~((~v143(constB20)) | (~v141(constB20)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB20) <=> (~((~v141(constB20)) | (~v143(constB20))))))),
% 9.69/7.25 inference(transitivity,[status(thm)],[33719, 33717])).
% 9.69/7.25 tff(33721,plain,
% 9.69/7.25 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB20) <=> (~((~v143(constB20)) | (~v141(constB20)))))),
% 9.69/7.25 inference(quant_inst,[status(thm)],[])).
% 9.69/7.25 tff(33722,plain,
% 9.69/7.25 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB20) <=> (~((~v141(constB20)) | (~v143(constB20)))))),
% 9.69/7.25 inference(modus_ponens,[status(thm)],[33721, 33720])).
% 9.69/7.25 tff(33723,plain,
% 9.69/7.25 (v154(constB20) <=> (~((~v141(constB20)) | (~v143(constB20))))),
% 9.69/7.25 inference(unit_resolution,[status(thm)],[33722, 113])).
% 9.69/7.25 tff(33724,plain,
% 9.69/7.25 (((~v141(constB20)) | (~v143(constB20))) | v141(constB20)),
% 9.69/7.25 inference(tautology,[status(thm)],[])).
% 9.69/7.25 tff(33725,plain,
% 9.69/7.25 ((~v141(constB20)) | (~v143(constB20))),
% 9.69/7.25 inference(unit_resolution,[status(thm)],[33724, 26406])).
% 9.69/7.25 tff(33726,plain,
% 9.69/7.25 ((~(v154(constB20) <=> (~((~v141(constB20)) | (~v143(constB20)))))) | (~v154(constB20)) | (~((~v141(constB20)) | (~v143(constB20))))),
% 9.69/7.25 inference(tautology,[status(thm)],[])).
% 9.69/7.25 tff(33727,plain,
% 9.69/7.25 ((~(v154(constB20) <=> (~((~v141(constB20)) | (~v143(constB20)))))) | (~v154(constB20))),
% 9.69/7.25 inference(unit_resolution,[status(thm)],[33726, 33725])).
% 9.69/7.25 tff(33728,plain,
% 9.69/7.25 (~v154(constB20)),
% 9.69/7.25 inference(unit_resolution,[status(thm)],[33727, 33723])).
% 9.69/7.25 tff(33729,plain,
% 9.69/7.25 (((~v132(constB20)) | (~v154(constB20))) | v154(constB20)),
% 9.69/7.25 inference(tautology,[status(thm)],[])).
% 9.69/7.25 tff(33730,plain,
% 9.69/7.25 ((~v132(constB20)) | (~v154(constB20))),
% 9.69/7.25 inference(unit_resolution,[status(thm)],[33729, 33728])).
% 9.69/7.25 tff(33731,plain,
% 9.69/7.25 ((~(v153(constB20) <=> (~((~v132(constB20)) | (~v154(constB20)))))) | (~v153(constB20)) | (~((~v132(constB20)) | (~v154(constB20))))),
% 9.69/7.25 inference(tautology,[status(thm)],[])).
% 9.69/7.25 tff(33732,plain,
% 9.69/7.25 (~v153(constB20)),
% 9.69/7.25 inference(unit_resolution,[status(thm)],[33731, 33730, 33716])).
% 9.69/7.25 tff(33733,plain,
% 9.69/7.25 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB20) <=> (~((~v130(constB20)) | (~v139(constB20)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB20) <=> (~((~v130(constB20)) | (~v139(constB20))))))),
% 9.69/7.25 inference(rewrite,[status(thm)],[])).
% 9.69/7.25 tff(33734,plain,
% 9.69/7.25 ((v155(constB20) <=> (~((~v139(constB20)) | (~v130(constB20))))) <=> (v155(constB20) <=> (~((~v130(constB20)) | (~v139(constB20)))))),
% 9.69/7.25 inference(rewrite,[status(thm)],[])).
% 9.69/7.25 tff(33735,plain,
% 9.69/7.25 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB20) <=> (~((~v139(constB20)) | (~v130(constB20)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB20) <=> (~((~v130(constB20)) | (~v139(constB20))))))),
% 9.69/7.25 inference(monotonicity,[status(thm)],[33734])).
% 9.69/7.25 tff(33736,plain,
% 9.69/7.25 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB20) <=> (~((~v139(constB20)) | (~v130(constB20)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB20) <=> (~((~v130(constB20)) | (~v139(constB20))))))),
% 9.69/7.25 inference(transitivity,[status(thm)],[33735, 33733])).
% 9.69/7.25 tff(33737,plain,
% 9.69/7.25 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB20) <=> (~((~v139(constB20)) | (~v130(constB20)))))),
% 9.69/7.25 inference(quant_inst,[status(thm)],[])).
% 9.69/7.25 tff(33738,plain,
% 9.69/7.25 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB20) <=> (~((~v130(constB20)) | (~v139(constB20)))))),
% 9.69/7.25 inference(modus_ponens,[status(thm)],[33737, 33736])).
% 9.69/7.25 tff(33739,plain,
% 9.69/7.25 (v155(constB20) <=> (~((~v130(constB20)) | (~v139(constB20))))),
% 9.69/7.25 inference(unit_resolution,[status(thm)],[33738, 447])).
% 9.69/7.25 tff(33740,plain,
% 9.69/7.25 ((~![VarNext: $i] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB20) <=> v152(constB20))),
% 9.69/7.25 inference(quant_inst,[status(thm)],[])).
% 9.69/7.25 tff(33741,plain,
% 9.69/7.25 (v130(constB20) <=> v152(constB20)),
% 9.69/7.25 inference(unit_resolution,[status(thm)],[33740, 361])).
% 9.69/7.25 tff(33742,plain,
% 9.69/7.25 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB19, constB20)) | (v152(constB20) <=> v150(constB19)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB19, constB20)) | (v152(constB20) <=> v150(constB19)))),
% 9.69/7.25 inference(rewrite,[status(thm)],[])).
% 9.69/7.25 tff(33743,plain,
% 9.69/7.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB19, constB20)) | (v152(constB20) <=> v150(constB19)))),
% 9.69/7.25 inference(quant_inst,[status(thm)],[])).
% 9.69/7.25 tff(33744,plain,
% 9.69/7.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB19, constB20)) | (v152(constB20) <=> v150(constB19))),
% 9.69/7.25 inference(modus_ponens,[status(thm)],[33743, 33742])).
% 9.69/7.25 tff(33745,plain,
% 9.69/7.25 (v152(constB20) <=> v150(constB19)),
% 9.69/7.25 inference(unit_resolution,[status(thm)],[33744, 8844, 373])).
% 9.69/7.25 tff(33746,plain,
% 9.69/7.25 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v153(VarCurr) | v155(VarCurr)))) | (v150(constB19) <=> (v153(constB19) | v155(constB19)))),
% 9.69/7.25 inference(quant_inst,[status(thm)],[])).
% 9.69/7.25 tff(33747,plain,
% 9.69/7.25 (v150(constB19) <=> (v153(constB19) | v155(constB19))),
% 9.69/7.25 inference(unit_resolution,[status(thm)],[33746, 387])).
% 9.69/7.25 tff(33748,plain,
% 9.69/7.25 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB19) <=> (~((~v130(constB19)) | (~v139(constB19)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB19) <=> (~((~v130(constB19)) | (~v139(constB19))))))),
% 9.69/7.25 inference(rewrite,[status(thm)],[])).
% 9.69/7.25 tff(33749,plain,
% 9.69/7.25 ((v155(constB19) <=> (~((~v139(constB19)) | (~v130(constB19))))) <=> (v155(constB19) <=> (~((~v130(constB19)) | (~v139(constB19)))))),
% 9.69/7.25 inference(rewrite,[status(thm)],[])).
% 9.69/7.25 tff(33750,plain,
% 9.69/7.25 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB19) <=> (~((~v139(constB19)) | (~v130(constB19)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB19) <=> (~((~v130(constB19)) | (~v139(constB19))))))),
% 9.69/7.25 inference(monotonicity,[status(thm)],[33749])).
% 9.69/7.25 tff(33751,plain,
% 9.69/7.25 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB19) <=> (~((~v139(constB19)) | (~v130(constB19)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB19) <=> (~((~v130(constB19)) | (~v139(constB19))))))),
% 9.69/7.25 inference(transitivity,[status(thm)],[33750, 33748])).
% 9.69/7.25 tff(33752,plain,
% 9.69/7.25 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB19) <=> (~((~v139(constB19)) | (~v130(constB19)))))),
% 9.69/7.25 inference(quant_inst,[status(thm)],[])).
% 9.69/7.25 tff(33753,plain,
% 9.69/7.25 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB19) <=> (~((~v130(constB19)) | (~v139(constB19)))))),
% 9.69/7.25 inference(modus_ponens,[status(thm)],[33752, 33751])).
% 9.69/7.25 tff(33754,plain,
% 9.69/7.25 (v155(constB19) <=> (~((~v130(constB19)) | (~v139(constB19))))),
% 9.69/7.25 inference(unit_resolution,[status(thm)],[33753, 447])).
% 9.69/7.25 tff(33755,plain,
% 9.69/7.25 (((~v130(constB19)) | (~v139(constB19))) | v139(constB19)),
% 9.69/7.25 inference(tautology,[status(thm)],[])).
% 9.69/7.25 tff(33756,plain,
% 9.69/7.25 ((~v130(constB19)) | (~v139(constB19))),
% 9.69/7.25 inference(unit_resolution,[status(thm)],[33755, 26499])).
% 9.69/7.25 tff(33757,plain,
% 9.69/7.25 ((~(v155(constB19) <=> (~((~v130(constB19)) | (~v139(constB19)))))) | (~v155(constB19)) | (~((~v130(constB19)) | (~v139(constB19))))),
% 9.69/7.25 inference(tautology,[status(thm)],[])).
% 9.69/7.25 tff(33758,plain,
% 9.69/7.25 (~v155(constB19)),
% 9.69/7.25 inference(unit_resolution,[status(thm)],[33757, 33756, 33754])).
% 9.69/7.25 tff(33759,plain,
% 9.69/7.25 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB19) <=> (~((~v132(constB19)) | (~v154(constB19)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB19) <=> (~((~v132(constB19)) | (~v154(constB19))))))),
% 9.69/7.25 inference(rewrite,[status(thm)],[])).
% 9.69/7.25 tff(33760,plain,
% 9.69/7.25 ((v153(constB19) <=> (~((~v154(constB19)) | (~v132(constB19))))) <=> (v153(constB19) <=> (~((~v132(constB19)) | (~v154(constB19)))))),
% 9.69/7.25 inference(rewrite,[status(thm)],[])).
% 9.69/7.25 tff(33761,plain,
% 9.69/7.25 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB19) <=> (~((~v154(constB19)) | (~v132(constB19)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB19) <=> (~((~v132(constB19)) | (~v154(constB19))))))),
% 9.69/7.25 inference(monotonicity,[status(thm)],[33760])).
% 9.69/7.25 tff(33762,plain,
% 9.69/7.25 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB19) <=> (~((~v154(constB19)) | (~v132(constB19)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB19) <=> (~((~v132(constB19)) | (~v154(constB19))))))),
% 9.69/7.25 inference(transitivity,[status(thm)],[33761, 33759])).
% 9.69/7.25 tff(33763,plain,
% 9.69/7.25 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB19) <=> (~((~v154(constB19)) | (~v132(constB19)))))),
% 9.69/7.25 inference(quant_inst,[status(thm)],[])).
% 9.69/7.25 tff(33764,plain,
% 9.69/7.25 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB19) <=> (~((~v132(constB19)) | (~v154(constB19)))))),
% 9.69/7.25 inference(modus_ponens,[status(thm)],[33763, 33762])).
% 9.69/7.25 tff(33765,plain,
% 9.69/7.25 (v153(constB19) <=> (~((~v132(constB19)) | (~v154(constB19))))),
% 9.69/7.25 inference(unit_resolution,[status(thm)],[33764, 399])).
% 9.69/7.25 tff(33766,plain,
% 9.69/7.25 ((~![VarNext: $i] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB19) <=> v137(constB19))),
% 9.69/7.25 inference(quant_inst,[status(thm)],[])).
% 9.69/7.25 tff(33767,plain,
% 9.69/7.25 (v132(constB19) <=> v137(constB19)),
% 9.69/7.25 inference(unit_resolution,[status(thm)],[33766, 558])).
% 9.69/7.25 tff(33768,plain,
% 9.69/7.25 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB18, constB19)) | (v137(constB19) <=> v135(constB18)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB18, constB19)) | (v137(constB19) <=> v135(constB18)))),
% 9.69/7.25 inference(rewrite,[status(thm)],[])).
% 9.69/7.25 tff(33769,plain,
% 9.69/7.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB18, constB19)) | (v137(constB19) <=> v135(constB18)))),
% 9.69/7.25 inference(quant_inst,[status(thm)],[])).
% 9.69/7.25 tff(33770,plain,
% 9.69/7.25 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB18, constB19)) | (v137(constB19) <=> v135(constB18))),
% 9.69/7.25 inference(modus_ponens,[status(thm)],[33769, 33768])).
% 9.69/7.25 tff(33771,plain,
% 9.69/7.25 (v137(constB19) <=> v135(constB18)),
% 9.69/7.25 inference(unit_resolution,[status(thm)],[33770, 8900, 570])).
% 9.69/7.25 tff(33772,plain,
% 9.69/7.25 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB18) <=> (v138(constB18) | v142(constB18)))),
% 9.69/7.25 inference(quant_inst,[status(thm)],[])).
% 9.69/7.25 tff(33773,plain,
% 9.69/7.25 (v135(constB18) <=> (v138(constB18) | v142(constB18))),
% 9.69/7.25 inference(unit_resolution,[status(thm)],[33772, 584])).
% 9.69/7.25 tff(33774,plain,
% 9.69/7.25 ((~![VarCurr: $i] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB18) <=> (~((~v143(constB18)) | (~v144(constB18)))))),
% 9.69/7.25 inference(quant_inst,[status(thm)],[])).
% 9.69/7.25 tff(33775,plain,
% 9.69/7.25 (v142(constB18) <=> (~((~v143(constB18)) | (~v144(constB18))))),
% 9.69/7.25 inference(unit_resolution,[status(thm)],[33774, 596])).
% 9.69/7.25 tff(33776,plain,
% 9.69/7.25 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB18) <=> (~((~v141(constB18)) | (~v145(constB18)))))),
% 9.69/7.25 inference(quant_inst,[status(thm)],[])).
% 9.69/7.25 tff(33777,plain,
% 9.69/7.25 (v144(constB18) <=> (~((~v141(constB18)) | (~v145(constB18))))),
% 9.69/7.25 inference(unit_resolution,[status(thm)],[33776, 608])).
% 9.69/7.25 tff(33778,plain,
% 9.69/7.25 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB18) <=> (~((~v39(constB18)) | (~v9(constB18)))))),
% 9.69/7.25 inference(quant_inst,[status(thm)],[])).
% 9.69/7.25 tff(33779,plain,
% 9.69/7.25 (v141(constB18) <=> (~((~v39(constB18)) | (~v9(constB18))))),
% 9.69/7.25 inference(unit_resolution,[status(thm)],[33778, 130])).
% 9.69/7.25 tff(33780,plain,
% 9.69/7.25 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB18)) <=> v1(constB18))),
% 9.69/7.25 inference(quant_inst,[status(thm)],[])).
% 9.69/7.25 tff(33781,plain,
% 9.69/7.25 ((~v39(constB18)) <=> v1(constB18)),
% 9.69/7.25 inference(unit_resolution,[status(thm)],[33780, 139])).
% 9.69/7.25 tff(33782,plain,
% 9.69/7.25 ((~((~v39(constB18)) <=> v1(constB18))) | (~v39(constB18)) | (~v1(constB18))),
% 9.69/7.25 inference(tautology,[status(thm)],[])).
% 9.69/7.25 tff(33783,plain,
% 9.69/7.25 ((~((~v39(constB18)) <=> v1(constB18))) | (~v39(constB18))),
% 9.69/7.25 inference(unit_resolution,[status(thm)],[33782, 8962])).
% 9.69/7.25 tff(33784,plain,
% 9.69/7.25 (~v39(constB18)),
% 9.69/7.25 inference(unit_resolution,[status(thm)],[33783, 33781])).
% 9.69/7.25 tff(33785,plain,
% 9.69/7.25 (((~v39(constB18)) | (~v9(constB18))) | v39(constB18)),
% 9.69/7.25 inference(tautology,[status(thm)],[])).
% 9.69/7.25 tff(33786,plain,
% 9.69/7.25 ((~v39(constB18)) | (~v9(constB18))),
% 9.69/7.25 inference(unit_resolution,[status(thm)],[33785, 33784])).
% 9.69/7.25 tff(33787,plain,
% 9.69/7.25 ((~(v141(constB18) <=> (~((~v39(constB18)) | (~v9(constB18)))))) | (~v141(constB18)) | (~((~v39(constB18)) | (~v9(constB18))))),
% 9.69/7.25 inference(tautology,[status(thm)],[])).
% 9.69/7.25 tff(33788,plain,
% 9.69/7.25 ((~(v141(constB18) <=> (~((~v39(constB18)) | (~v9(constB18)))))) | (~v141(constB18))),
% 9.69/7.25 inference(unit_resolution,[status(thm)],[33787, 33786])).
% 9.69/7.25 tff(33789,plain,
% 9.69/7.25 (~v141(constB18)),
% 9.69/7.25 inference(unit_resolution,[status(thm)],[33788, 33779])).
% 9.69/7.25 tff(33790,plain,
% 9.69/7.25 (((~v141(constB18)) | (~v145(constB18))) | v141(constB18)),
% 9.69/7.25 inference(tautology,[status(thm)],[])).
% 9.69/7.25 tff(33791,plain,
% 9.69/7.25 ((~v141(constB18)) | (~v145(constB18))),
% 9.69/7.25 inference(unit_resolution,[status(thm)],[33790, 33789])).
% 9.69/7.25 tff(33792,plain,
% 9.69/7.25 ((~(v144(constB18) <=> (~((~v141(constB18)) | (~v145(constB18)))))) | (~v144(constB18)) | (~((~v141(constB18)) | (~v145(constB18))))),
% 9.69/7.25 inference(tautology,[status(thm)],[])).
% 9.69/7.25 tff(33793,plain,
% 9.69/7.25 ((~(v144(constB18) <=> (~((~v141(constB18)) | (~v145(constB18)))))) | (~v144(constB18))),
% 9.69/7.25 inference(unit_resolution,[status(thm)],[33792, 33791])).
% 9.69/7.25 tff(33794,plain,
% 9.69/7.25 (~v144(constB18)),
% 9.69/7.25 inference(unit_resolution,[status(thm)],[33793, 33777])).
% 9.69/7.25 tff(33795,plain,
% 9.69/7.25 (((~v143(constB18)) | (~v144(constB18))) | v144(constB18)),
% 9.69/7.25 inference(tautology,[status(thm)],[])).
% 9.69/7.25 tff(33796,plain,
% 9.69/7.25 ((~v143(constB18)) | (~v144(constB18))),
% 9.69/7.25 inference(unit_resolution,[status(thm)],[33795, 33794])).
% 9.69/7.25 tff(33797,plain,
% 9.69/7.26 ((~(v142(constB18) <=> (~((~v143(constB18)) | (~v144(constB18)))))) | (~v142(constB18)) | (~((~v143(constB18)) | (~v144(constB18))))),
% 9.69/7.26 inference(tautology,[status(thm)],[])).
% 9.69/7.26 tff(33798,plain,
% 9.69/7.26 (~v142(constB18)),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[33797, 33796, 33775])).
% 9.69/7.26 tff(33799,plain,
% 9.69/7.26 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB18) <=> (~((~v132(constB18)) | (~v139(constB18)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB18) <=> (~((~v132(constB18)) | (~v139(constB18))))))),
% 9.69/7.26 inference(rewrite,[status(thm)],[])).
% 9.69/7.26 tff(33800,plain,
% 9.69/7.26 ((v138(constB18) <=> (~((~v139(constB18)) | (~v132(constB18))))) <=> (v138(constB18) <=> (~((~v132(constB18)) | (~v139(constB18)))))),
% 9.69/7.26 inference(rewrite,[status(thm)],[])).
% 9.69/7.26 tff(33801,plain,
% 9.69/7.26 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB18) <=> (~((~v139(constB18)) | (~v132(constB18)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB18) <=> (~((~v132(constB18)) | (~v139(constB18))))))),
% 9.69/7.26 inference(monotonicity,[status(thm)],[33800])).
% 9.69/7.26 tff(33802,plain,
% 9.69/7.26 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB18) <=> (~((~v139(constB18)) | (~v132(constB18)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB18) <=> (~((~v132(constB18)) | (~v139(constB18))))))),
% 9.69/7.26 inference(transitivity,[status(thm)],[33801, 33799])).
% 9.69/7.26 tff(33803,plain,
% 9.69/7.26 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB18) <=> (~((~v139(constB18)) | (~v132(constB18)))))),
% 9.69/7.26 inference(quant_inst,[status(thm)],[])).
% 9.69/7.26 tff(33804,plain,
% 9.69/7.26 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB18) <=> (~((~v132(constB18)) | (~v139(constB18)))))),
% 9.69/7.26 inference(modus_ponens,[status(thm)],[33803, 33802])).
% 9.69/7.26 tff(33805,plain,
% 9.69/7.26 (v138(constB18) <=> (~((~v132(constB18)) | (~v139(constB18))))),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[33804, 644])).
% 9.69/7.26 tff(33806,plain,
% 9.69/7.26 ((~![VarNext: $i] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB18) <=> v137(constB18))),
% 9.69/7.26 inference(quant_inst,[status(thm)],[])).
% 9.69/7.26 tff(33807,plain,
% 9.69/7.26 (v132(constB18) <=> v137(constB18)),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[33806, 558])).
% 9.69/7.26 tff(33808,plain,
% 9.69/7.26 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB17, constB18)) | (v137(constB18) <=> v135(constB17)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB17, constB18)) | (v137(constB18) <=> v135(constB17)))),
% 9.69/7.26 inference(rewrite,[status(thm)],[])).
% 9.69/7.26 tff(33809,plain,
% 9.69/7.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB17, constB18)) | (v137(constB18) <=> v135(constB17)))),
% 9.69/7.26 inference(quant_inst,[status(thm)],[])).
% 9.69/7.26 tff(33810,plain,
% 9.69/7.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB17, constB18)) | (v137(constB18) <=> v135(constB17))),
% 9.69/7.26 inference(modus_ponens,[status(thm)],[33809, 33808])).
% 9.69/7.26 tff(33811,plain,
% 9.69/7.26 (v137(constB18) <=> v135(constB17)),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[33810, 8932, 570])).
% 9.69/7.26 tff(33812,plain,
% 9.69/7.26 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB17) <=> (v138(constB17) | v142(constB17)))),
% 9.69/7.26 inference(quant_inst,[status(thm)],[])).
% 9.69/7.26 tff(33813,plain,
% 9.69/7.26 (v135(constB17) <=> (v138(constB17) | v142(constB17))),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[33812, 584])).
% 9.69/7.26 tff(33814,plain,
% 9.69/7.26 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB17) <=> (~((~v132(constB17)) | (~v139(constB17)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB17) <=> (~((~v132(constB17)) | (~v139(constB17))))))),
% 9.69/7.26 inference(rewrite,[status(thm)],[])).
% 9.69/7.26 tff(33815,plain,
% 9.69/7.26 ((v138(constB17) <=> (~((~v139(constB17)) | (~v132(constB17))))) <=> (v138(constB17) <=> (~((~v132(constB17)) | (~v139(constB17)))))),
% 9.69/7.26 inference(rewrite,[status(thm)],[])).
% 9.69/7.26 tff(33816,plain,
% 9.69/7.26 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB17) <=> (~((~v139(constB17)) | (~v132(constB17)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB17) <=> (~((~v132(constB17)) | (~v139(constB17))))))),
% 9.69/7.26 inference(monotonicity,[status(thm)],[33815])).
% 9.69/7.26 tff(33817,plain,
% 9.69/7.26 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB17) <=> (~((~v139(constB17)) | (~v132(constB17)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB17) <=> (~((~v132(constB17)) | (~v139(constB17))))))),
% 9.69/7.26 inference(transitivity,[status(thm)],[33816, 33814])).
% 9.69/7.26 tff(33818,plain,
% 9.69/7.26 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB17) <=> (~((~v139(constB17)) | (~v132(constB17)))))),
% 9.69/7.26 inference(quant_inst,[status(thm)],[])).
% 9.69/7.26 tff(33819,plain,
% 9.69/7.26 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB17) <=> (~((~v132(constB17)) | (~v139(constB17)))))),
% 9.69/7.26 inference(modus_ponens,[status(thm)],[33818, 33817])).
% 9.69/7.26 tff(33820,plain,
% 9.69/7.26 (v138(constB17) <=> (~((~v132(constB17)) | (~v139(constB17))))),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[33819, 644])).
% 9.69/7.26 tff(33821,plain,
% 9.69/7.26 ((~![VarCurr: $i] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB17)) <=> v140(constB17))),
% 9.69/7.26 inference(quant_inst,[status(thm)],[])).
% 9.69/7.26 tff(33822,plain,
% 9.69/7.26 ((~v139(constB17)) <=> v140(constB17)),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[33821, 203])).
% 9.69/7.26 tff(33823,plain,
% 9.69/7.26 ((~![VarCurr: $i] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB17) <=> (v141(constB17) | v26(constB17)))),
% 9.69/7.26 inference(quant_inst,[status(thm)],[])).
% 9.69/7.26 tff(33824,plain,
% 9.69/7.26 (v140(constB17) <=> (v141(constB17) | v26(constB17))),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[33823, 212])).
% 9.69/7.26 tff(33825,plain,
% 9.69/7.26 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB17) <=> (~((~v39(constB17)) | (~v9(constB17)))))),
% 9.69/7.26 inference(quant_inst,[status(thm)],[])).
% 9.69/7.26 tff(33826,plain,
% 9.69/7.26 (v141(constB17) <=> (~((~v39(constB17)) | (~v9(constB17))))),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[33825, 130])).
% 9.69/7.26 tff(33827,plain,
% 9.69/7.26 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB17, constB18)) | (v13(constB18) <=> v9(constB17)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB17, constB18)) | (v13(constB18) <=> v9(constB17)))),
% 9.69/7.26 inference(rewrite,[status(thm)],[])).
% 9.69/7.26 tff(33828,plain,
% 9.69/7.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB17, constB18)) | (v13(constB18) <=> v9(constB17)))),
% 9.69/7.26 inference(quant_inst,[status(thm)],[])).
% 9.69/7.26 tff(33829,plain,
% 9.69/7.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB17, constB18)) | (v13(constB18) <=> v9(constB17))),
% 9.69/7.26 inference(modus_ponens,[status(thm)],[33828, 33827])).
% 9.69/7.26 tff(33830,plain,
% 9.69/7.26 (v13(constB18) <=> v9(constB17)),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[33829, 8932, 226])).
% 9.69/7.26 tff(33831,plain,
% 9.69/7.26 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB18) <=> v13(constB18))),
% 9.69/7.26 inference(quant_inst,[status(thm)],[])).
% 9.69/7.26 tff(33832,plain,
% 9.69/7.26 (v6(constB18) <=> v13(constB18)),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[33831, 240])).
% 9.69/7.26 tff(33833,plain,
% 9.69/7.26 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB18)) <=> v6(constB18))),
% 9.69/7.26 inference(quant_inst,[status(thm)],[])).
% 9.69/7.26 tff(33834,plain,
% 9.69/7.26 ((~v21(constB18)) <=> v6(constB18)),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[33833, 249])).
% 9.69/7.26 tff(33835,plain,
% 9.69/7.26 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB18) <=> (v20(constB18) | v21(constB18)))),
% 9.69/7.26 inference(quant_inst,[status(thm)],[])).
% 9.69/7.26 tff(33836,plain,
% 9.69/7.26 (v19(constB18) <=> (v20(constB18) | v21(constB18))),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[33835, 258])).
% 9.69/7.26 tff(33837,plain,
% 9.69/7.26 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB18) <=> (~((~v19(constB18)) | (~v22(constB18)))))),
% 9.69/7.26 inference(quant_inst,[status(thm)],[])).
% 9.69/7.26 tff(33838,plain,
% 9.69/7.26 (v18(constB18) <=> (~((~v19(constB18)) | (~v22(constB18))))),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[33837, 270])).
% 9.69/7.26 tff(33839,plain,
% 9.69/7.26 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB18)) <=> v18(constB18))),
% 9.69/7.26 inference(quant_inst,[status(thm)],[])).
% 9.69/7.26 tff(33840,plain,
% 9.69/7.26 ((~v4(constB18)) <=> v18(constB18)),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[33839, 279])).
% 9.69/7.26 tff(33841,plain,
% 9.69/7.26 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB18)),
% 9.69/7.26 inference(quant_inst,[status(thm)],[])).
% 9.69/7.26 tff(33842,plain,
% 9.69/7.26 (v4(constB18)),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[33841, 288])).
% 9.69/7.26 tff(33843,plain,
% 9.69/7.26 ((~((~v4(constB18)) <=> v18(constB18))) | (~v4(constB18)) | (~v18(constB18))),
% 9.69/7.26 inference(tautology,[status(thm)],[])).
% 9.69/7.26 tff(33844,plain,
% 9.69/7.26 (~v18(constB18)),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[33843, 33842, 33840])).
% 9.69/7.26 tff(33845,plain,
% 9.69/7.26 ((~(v18(constB18) <=> (~((~v19(constB18)) | (~v22(constB18)))))) | v18(constB18) | ((~v19(constB18)) | (~v22(constB18)))),
% 9.69/7.26 inference(tautology,[status(thm)],[])).
% 9.69/7.26 tff(33846,plain,
% 9.69/7.26 ((~v19(constB18)) | (~v22(constB18))),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[33845, 33844, 33838])).
% 9.69/7.26 tff(33847,plain,
% 9.69/7.26 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB18) <=> (v1(constB18) | v6(constB18)))),
% 9.69/7.26 inference(quant_inst,[status(thm)],[])).
% 9.69/7.26 tff(33848,plain,
% 9.69/7.26 (v22(constB18) <=> (v1(constB18) | v6(constB18))),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[33847, 301])).
% 9.69/7.26 tff(33849,plain,
% 9.69/7.26 ((v1(constB18) | v6(constB18)) | (~v1(constB18))),
% 9.69/7.26 inference(tautology,[status(thm)],[])).
% 9.69/7.26 tff(33850,plain,
% 9.69/7.26 (v1(constB18) | v6(constB18)),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[33849, 8962])).
% 9.69/7.26 tff(33851,plain,
% 9.69/7.26 ((~(v22(constB18) <=> (v1(constB18) | v6(constB18)))) | v22(constB18) | (~(v1(constB18) | v6(constB18)))),
% 9.69/7.26 inference(tautology,[status(thm)],[])).
% 9.69/7.26 tff(33852,plain,
% 9.69/7.26 ((~(v22(constB18) <=> (v1(constB18) | v6(constB18)))) | v22(constB18)),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[33851, 33850])).
% 9.69/7.26 tff(33853,plain,
% 9.69/7.26 (v22(constB18)),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[33852, 33848])).
% 9.69/7.26 tff(33854,plain,
% 9.69/7.26 ((~((~v19(constB18)) | (~v22(constB18)))) | (~v19(constB18)) | (~v22(constB18))),
% 9.69/7.26 inference(tautology,[status(thm)],[])).
% 9.69/7.26 tff(33855,plain,
% 9.69/7.26 ((~((~v19(constB18)) | (~v22(constB18)))) | (~v19(constB18))),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[33854, 33853])).
% 9.69/7.26 tff(33856,plain,
% 9.69/7.26 (~v19(constB18)),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[33855, 33846])).
% 9.69/7.26 tff(33857,plain,
% 9.69/7.26 ((~(v19(constB18) <=> (v20(constB18) | v21(constB18)))) | v19(constB18) | (~(v20(constB18) | v21(constB18)))),
% 9.69/7.26 inference(tautology,[status(thm)],[])).
% 9.69/7.26 tff(33858,plain,
% 9.69/7.26 (~(v20(constB18) | v21(constB18))),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[33857, 33856, 33836])).
% 9.69/7.26 tff(33859,plain,
% 9.69/7.26 ((v20(constB18) | v21(constB18)) | (~v21(constB18))),
% 9.69/7.26 inference(tautology,[status(thm)],[])).
% 9.69/7.26 tff(33860,plain,
% 9.69/7.26 (~v21(constB18)),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[33859, 33858])).
% 9.69/7.26 tff(33861,plain,
% 9.69/7.26 ((~((~v21(constB18)) <=> v6(constB18))) | v21(constB18) | v6(constB18)),
% 9.69/7.26 inference(tautology,[status(thm)],[])).
% 9.69/7.26 tff(33862,plain,
% 9.69/7.26 (v6(constB18)),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[33861, 33860, 33834])).
% 9.69/7.26 tff(33863,plain,
% 9.69/7.26 ((~(v6(constB18) <=> v13(constB18))) | (~v6(constB18)) | v13(constB18)),
% 9.69/7.26 inference(tautology,[status(thm)],[])).
% 9.69/7.26 tff(33864,plain,
% 9.69/7.26 (v13(constB18)),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[33863, 33862, 33832])).
% 9.69/7.26 tff(33865,plain,
% 9.69/7.26 ((~(v13(constB18) <=> v9(constB17))) | (~v13(constB18)) | v9(constB17)),
% 9.69/7.26 inference(tautology,[status(thm)],[])).
% 9.69/7.26 tff(33866,plain,
% 9.69/7.26 (v9(constB17)),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[33865, 33864, 33830])).
% 9.69/7.26 tff(33867,plain,
% 9.69/7.26 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB17)) <=> v1(constB17))),
% 9.69/7.26 inference(quant_inst,[status(thm)],[])).
% 9.69/7.26 tff(33868,plain,
% 9.69/7.26 ((~v39(constB17)) <=> v1(constB17)),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[33867, 139])).
% 9.69/7.26 tff(33869,plain,
% 9.69/7.26 ((~((~v39(constB17)) <=> v1(constB17))) | v39(constB17) | v1(constB17)),
% 9.69/7.26 inference(tautology,[status(thm)],[])).
% 9.69/7.26 tff(33870,plain,
% 9.69/7.26 ((~((~v39(constB17)) <=> v1(constB17))) | v39(constB17)),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[33869, 8954])).
% 9.69/7.26 tff(33871,plain,
% 9.69/7.26 (v39(constB17)),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[33870, 33868])).
% 9.69/7.26 tff(33872,plain,
% 9.69/7.26 ((~((~v39(constB17)) | (~v9(constB17)))) | (~v39(constB17)) | (~v9(constB17))),
% 9.69/7.26 inference(tautology,[status(thm)],[])).
% 9.69/7.26 tff(33873,plain,
% 9.69/7.26 ((~((~v39(constB17)) | (~v9(constB17)))) | (~v9(constB17))),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[33872, 33871])).
% 9.69/7.26 tff(33874,plain,
% 9.69/7.26 (~((~v39(constB17)) | (~v9(constB17)))),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[33873, 33866])).
% 9.69/7.26 tff(33875,plain,
% 9.69/7.26 ((~(v141(constB17) <=> (~((~v39(constB17)) | (~v9(constB17)))))) | v141(constB17) | ((~v39(constB17)) | (~v9(constB17)))),
% 9.69/7.26 inference(tautology,[status(thm)],[])).
% 9.69/7.26 tff(33876,plain,
% 9.69/7.26 (v141(constB17)),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[33875, 33874, 33826])).
% 9.69/7.26 tff(33877,plain,
% 9.69/7.26 ((v141(constB17) | v26(constB17)) | (~v141(constB17))),
% 9.69/7.26 inference(tautology,[status(thm)],[])).
% 9.69/7.26 tff(33878,plain,
% 9.69/7.26 (v141(constB17) | v26(constB17)),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[33877, 33876])).
% 9.69/7.26 tff(33879,plain,
% 9.69/7.26 ((~(v140(constB17) <=> (v141(constB17) | v26(constB17)))) | v140(constB17) | (~(v141(constB17) | v26(constB17)))),
% 9.69/7.26 inference(tautology,[status(thm)],[])).
% 9.69/7.26 tff(33880,plain,
% 9.69/7.26 (v140(constB17)),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[33879, 33878, 33824])).
% 9.69/7.26 tff(33881,plain,
% 9.69/7.26 ((~((~v139(constB17)) <=> v140(constB17))) | (~v139(constB17)) | (~v140(constB17))),
% 9.69/7.26 inference(tautology,[status(thm)],[])).
% 9.69/7.26 tff(33882,plain,
% 9.69/7.26 (~v139(constB17)),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[33881, 33880, 33822])).
% 9.69/7.26 tff(33883,plain,
% 9.69/7.26 (((~v132(constB17)) | (~v139(constB17))) | v139(constB17)),
% 9.69/7.26 inference(tautology,[status(thm)],[])).
% 9.69/7.26 tff(33884,plain,
% 9.69/7.26 ((~v132(constB17)) | (~v139(constB17))),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[33883, 33882])).
% 9.69/7.26 tff(33885,plain,
% 9.69/7.26 ((~(v138(constB17) <=> (~((~v132(constB17)) | (~v139(constB17)))))) | (~v138(constB17)) | (~((~v132(constB17)) | (~v139(constB17))))),
% 9.69/7.26 inference(tautology,[status(thm)],[])).
% 9.69/7.26 tff(33886,plain,
% 9.69/7.26 (~v138(constB17)),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[33885, 33884, 33820])).
% 9.69/7.26 tff(33887,plain,
% 9.69/7.26 ((~![VarCurr: $i] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB17) <=> (~((~v143(constB17)) | (~v144(constB17)))))),
% 9.69/7.26 inference(quant_inst,[status(thm)],[])).
% 9.69/7.26 tff(33888,plain,
% 9.69/7.26 (v142(constB17) <=> (~((~v143(constB17)) | (~v144(constB17))))),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[33887, 596])).
% 9.69/7.26 tff(33889,plain,
% 9.69/7.26 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB17) <=> (~((~v141(constB17)) | (~v145(constB17)))))),
% 9.69/7.26 inference(quant_inst,[status(thm)],[])).
% 9.69/7.26 tff(33890,plain,
% 9.69/7.26 (v144(constB17) <=> (~((~v141(constB17)) | (~v145(constB17))))),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[33889, 608])).
% 9.69/7.26 tff(33891,plain,
% 9.69/7.26 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB17) <=> (~(v84(constB17, bitIndex2) | v84(constB17, bitIndex1) | (~v84(constB17, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB17) <=> (~(v84(constB17, bitIndex2) | v84(constB17, bitIndex1) | (~v84(constB17, bitIndex0))))))),
% 9.69/7.26 inference(rewrite,[status(thm)],[])).
% 9.69/7.26 tff(33892,plain,
% 9.69/7.26 ((v145(constB17) <=> (~(v84(constB17, bitIndex1) | v84(constB17, bitIndex2) | (~v84(constB17, bitIndex0))))) <=> (v145(constB17) <=> (~(v84(constB17, bitIndex2) | v84(constB17, bitIndex1) | (~v84(constB17, bitIndex0)))))),
% 9.69/7.26 inference(rewrite,[status(thm)],[])).
% 9.69/7.26 tff(33893,plain,
% 9.69/7.26 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB17) <=> (~(v84(constB17, bitIndex1) | v84(constB17, bitIndex2) | (~v84(constB17, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB17) <=> (~(v84(constB17, bitIndex2) | v84(constB17, bitIndex1) | (~v84(constB17, bitIndex0))))))),
% 9.69/7.26 inference(monotonicity,[status(thm)],[33892])).
% 9.69/7.26 tff(33894,plain,
% 9.69/7.26 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB17) <=> (~(v84(constB17, bitIndex1) | v84(constB17, bitIndex2) | (~v84(constB17, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB17) <=> (~(v84(constB17, bitIndex2) | v84(constB17, bitIndex1) | (~v84(constB17, bitIndex0))))))),
% 9.69/7.26 inference(transitivity,[status(thm)],[33893, 33891])).
% 9.69/7.26 tff(33895,plain,
% 9.69/7.26 ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB17) <=> (~(v84(constB17, bitIndex1) | v84(constB17, bitIndex2) | (~v84(constB17, bitIndex0)))))),
% 9.69/7.26 inference(quant_inst,[status(thm)],[])).
% 9.69/7.26 tff(33896,plain,
% 9.69/7.26 ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB17) <=> (~(v84(constB17, bitIndex2) | v84(constB17, bitIndex1) | (~v84(constB17, bitIndex0)))))),
% 9.69/7.26 inference(modus_ponens,[status(thm)],[33895, 33894])).
% 9.69/7.26 tff(33897,plain,
% 9.69/7.26 (v145(constB17) <=> (~(v84(constB17, bitIndex2) | v84(constB17, bitIndex1) | (~v84(constB17, bitIndex0))))),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[33896, 755])).
% 9.69/7.26 tff(33898,plain,
% 9.69/7.26 ((v84(constB17, bitIndex2) | v84(constB17, bitIndex1) | (~v84(constB17, bitIndex0))) | (~v84(constB17, bitIndex1))),
% 9.69/7.26 inference(tautology,[status(thm)],[])).
% 9.69/7.26 tff(33899,plain,
% 9.69/7.26 (v84(constB17, bitIndex2) | v84(constB17, bitIndex1) | (~v84(constB17, bitIndex0))),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[33898, 11315])).
% 9.69/7.26 tff(33900,plain,
% 9.69/7.26 ((~(v145(constB17) <=> (~(v84(constB17, bitIndex2) | v84(constB17, bitIndex1) | (~v84(constB17, bitIndex0)))))) | (~v145(constB17)) | (~(v84(constB17, bitIndex2) | v84(constB17, bitIndex1) | (~v84(constB17, bitIndex0))))),
% 9.69/7.26 inference(tautology,[status(thm)],[])).
% 9.69/7.26 tff(33901,plain,
% 9.69/7.26 (~v145(constB17)),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[33900, 33899, 33897])).
% 9.69/7.26 tff(33902,plain,
% 9.69/7.26 (((~v141(constB17)) | (~v145(constB17))) | v145(constB17)),
% 9.69/7.26 inference(tautology,[status(thm)],[])).
% 9.69/7.26 tff(33903,plain,
% 9.69/7.26 ((~v141(constB17)) | (~v145(constB17))),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[33902, 33901])).
% 9.69/7.26 tff(33904,plain,
% 9.69/7.26 ((~(v144(constB17) <=> (~((~v141(constB17)) | (~v145(constB17)))))) | (~v144(constB17)) | (~((~v141(constB17)) | (~v145(constB17))))),
% 9.69/7.26 inference(tautology,[status(thm)],[])).
% 9.69/7.26 tff(33905,plain,
% 9.69/7.26 (~v144(constB17)),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[33904, 33903, 33890])).
% 9.69/7.26 tff(33906,plain,
% 9.69/7.26 (((~v143(constB17)) | (~v144(constB17))) | v144(constB17)),
% 9.69/7.26 inference(tautology,[status(thm)],[])).
% 9.69/7.26 tff(33907,plain,
% 9.69/7.26 ((~v143(constB17)) | (~v144(constB17))),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[33906, 33905])).
% 9.69/7.26 tff(33908,plain,
% 9.69/7.26 ((~(v142(constB17) <=> (~((~v143(constB17)) | (~v144(constB17)))))) | (~v142(constB17)) | (~((~v143(constB17)) | (~v144(constB17))))),
% 9.69/7.26 inference(tautology,[status(thm)],[])).
% 9.69/7.26 tff(33909,plain,
% 9.69/7.26 (~v142(constB17)),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[33908, 33907, 33888])).
% 9.69/7.26 tff(33910,plain,
% 9.69/7.26 ((~(v138(constB17) | v142(constB17))) | v138(constB17) | v142(constB17)),
% 9.69/7.26 inference(tautology,[status(thm)],[])).
% 9.69/7.26 tff(33911,plain,
% 9.69/7.26 (~(v138(constB17) | v142(constB17))),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[33910, 33909, 33886])).
% 9.69/7.26 tff(33912,plain,
% 9.69/7.26 ((~(v135(constB17) <=> (v138(constB17) | v142(constB17)))) | (~v135(constB17)) | (v138(constB17) | v142(constB17))),
% 9.69/7.26 inference(tautology,[status(thm)],[])).
% 9.69/7.26 tff(33913,plain,
% 9.69/7.26 (~v135(constB17)),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[33912, 33911, 33813])).
% 9.69/7.26 tff(33914,plain,
% 9.69/7.26 ((~(v137(constB18) <=> v135(constB17))) | (~v137(constB18)) | v135(constB17)),
% 9.69/7.26 inference(tautology,[status(thm)],[])).
% 9.69/7.26 tff(33915,plain,
% 9.69/7.26 (~v137(constB18)),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[33914, 33913, 33811])).
% 9.69/7.26 tff(33916,plain,
% 9.69/7.26 ((~(v132(constB18) <=> v137(constB18))) | (~v132(constB18)) | v137(constB18)),
% 9.69/7.26 inference(tautology,[status(thm)],[])).
% 9.69/7.26 tff(33917,plain,
% 9.69/7.26 (~v132(constB18)),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[33916, 33915, 33807])).
% 9.69/7.26 tff(33918,plain,
% 9.69/7.26 (((~v132(constB18)) | (~v139(constB18))) | v132(constB18)),
% 9.69/7.26 inference(tautology,[status(thm)],[])).
% 9.69/7.26 tff(33919,plain,
% 9.69/7.26 ((~v132(constB18)) | (~v139(constB18))),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[33918, 33917])).
% 9.69/7.26 tff(33920,plain,
% 9.69/7.26 ((~(v138(constB18) <=> (~((~v132(constB18)) | (~v139(constB18)))))) | (~v138(constB18)) | (~((~v132(constB18)) | (~v139(constB18))))),
% 9.69/7.26 inference(tautology,[status(thm)],[])).
% 9.69/7.26 tff(33921,plain,
% 9.69/7.26 (~v138(constB18)),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[33920, 33919, 33805])).
% 9.69/7.26 tff(33922,plain,
% 9.69/7.26 ((~(v138(constB18) | v142(constB18))) | v138(constB18) | v142(constB18)),
% 9.69/7.26 inference(tautology,[status(thm)],[])).
% 9.69/7.26 tff(33923,plain,
% 9.69/7.26 (~(v138(constB18) | v142(constB18))),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[33922, 33921, 33798])).
% 9.69/7.26 tff(33924,plain,
% 9.69/7.26 ((~(v135(constB18) <=> (v138(constB18) | v142(constB18)))) | (~v135(constB18)) | (v138(constB18) | v142(constB18))),
% 9.69/7.26 inference(tautology,[status(thm)],[])).
% 9.69/7.26 tff(33925,plain,
% 9.69/7.26 (~v135(constB18)),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[33924, 33923, 33773])).
% 9.69/7.26 tff(33926,plain,
% 9.69/7.26 ((~(v137(constB19) <=> v135(constB18))) | (~v137(constB19)) | v135(constB18)),
% 9.69/7.26 inference(tautology,[status(thm)],[])).
% 9.69/7.26 tff(33927,plain,
% 9.69/7.26 (~v137(constB19)),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[33926, 33925, 33771])).
% 9.69/7.26 tff(33928,plain,
% 9.69/7.26 ((~(v132(constB19) <=> v137(constB19))) | (~v132(constB19)) | v137(constB19)),
% 9.69/7.26 inference(tautology,[status(thm)],[])).
% 9.69/7.26 tff(33929,plain,
% 9.69/7.26 (~v132(constB19)),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[33928, 33927, 33767])).
% 9.69/7.26 tff(33930,plain,
% 9.69/7.26 (((~v132(constB19)) | (~v154(constB19))) | v132(constB19)),
% 9.69/7.26 inference(tautology,[status(thm)],[])).
% 9.69/7.26 tff(33931,plain,
% 9.69/7.26 ((~v132(constB19)) | (~v154(constB19))),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[33930, 33929])).
% 9.69/7.26 tff(33932,plain,
% 9.69/7.26 ((~(v153(constB19) <=> (~((~v132(constB19)) | (~v154(constB19)))))) | (~v153(constB19)) | (~((~v132(constB19)) | (~v154(constB19))))),
% 9.69/7.26 inference(tautology,[status(thm)],[])).
% 9.69/7.26 tff(33933,plain,
% 9.69/7.26 (~v153(constB19)),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[33932, 33931, 33765])).
% 9.69/7.26 tff(33934,plain,
% 9.69/7.26 ((~(v153(constB19) | v155(constB19))) | v153(constB19) | v155(constB19)),
% 9.69/7.26 inference(tautology,[status(thm)],[])).
% 9.69/7.26 tff(33935,plain,
% 9.69/7.26 (~(v153(constB19) | v155(constB19))),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[33934, 33933, 33758])).
% 9.69/7.26 tff(33936,plain,
% 9.69/7.26 ((~(v150(constB19) <=> (v153(constB19) | v155(constB19)))) | (~v150(constB19)) | (v153(constB19) | v155(constB19))),
% 9.69/7.26 inference(tautology,[status(thm)],[])).
% 9.69/7.26 tff(33937,plain,
% 9.69/7.26 (~v150(constB19)),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[33936, 33935, 33747])).
% 9.69/7.26 tff(33938,plain,
% 9.69/7.26 ((~(v152(constB20) <=> v150(constB19))) | (~v152(constB20)) | v150(constB19)),
% 9.69/7.26 inference(tautology,[status(thm)],[])).
% 9.69/7.26 tff(33939,plain,
% 9.69/7.26 (~v152(constB20)),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[33938, 33937, 33745])).
% 9.69/7.26 tff(33940,plain,
% 9.69/7.26 ((~(v130(constB20) <=> v152(constB20))) | (~v130(constB20)) | v152(constB20)),
% 9.69/7.26 inference(tautology,[status(thm)],[])).
% 9.69/7.26 tff(33941,plain,
% 9.69/7.26 (~v130(constB20)),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[33940, 33939, 33741])).
% 9.69/7.26 tff(33942,plain,
% 9.69/7.26 (((~v130(constB20)) | (~v139(constB20))) | v130(constB20)),
% 9.69/7.26 inference(tautology,[status(thm)],[])).
% 9.69/7.26 tff(33943,plain,
% 9.69/7.26 ((~v130(constB20)) | (~v139(constB20))),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[33942, 33941])).
% 9.69/7.26 tff(33944,plain,
% 9.69/7.26 ((~(v155(constB20) <=> (~((~v130(constB20)) | (~v139(constB20)))))) | (~v155(constB20)) | (~((~v130(constB20)) | (~v139(constB20))))),
% 9.69/7.26 inference(tautology,[status(thm)],[])).
% 9.69/7.26 tff(33945,plain,
% 9.69/7.26 (~v155(constB20)),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[33944, 33943, 33739])).
% 9.69/7.26 tff(33946,plain,
% 9.69/7.26 ((~(v153(constB20) | v155(constB20))) | v153(constB20) | v155(constB20)),
% 9.69/7.26 inference(tautology,[status(thm)],[])).
% 9.69/7.26 tff(33947,plain,
% 9.69/7.26 (~(v153(constB20) | v155(constB20))),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[33946, 33945, 33732])).
% 9.69/7.26 tff(33948,plain,
% 9.69/7.26 ((~(v150(constB20) <=> (v153(constB20) | v155(constB20)))) | (~v150(constB20)) | (v153(constB20) | v155(constB20))),
% 9.69/7.26 inference(tautology,[status(thm)],[])).
% 9.69/7.26 tff(33949,plain,
% 9.69/7.26 (~v150(constB20)),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[33948, 33947, 33709])).
% 9.69/7.26 tff(33950,plain,
% 9.69/7.26 ((~(v152(constB21) <=> v150(constB20))) | (~v152(constB21)) | v150(constB20)),
% 9.69/7.26 inference(tautology,[status(thm)],[])).
% 9.69/7.26 tff(33951,plain,
% 9.69/7.26 (~v152(constB21)),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[33950, 33949, 33707])).
% 9.69/7.26 tff(33952,plain,
% 9.69/7.26 ((~(v130(constB21) <=> v152(constB21))) | (~v130(constB21)) | v152(constB21)),
% 9.69/7.26 inference(tautology,[status(thm)],[])).
% 9.69/7.26 tff(33953,plain,
% 9.69/7.26 (~v130(constB21)),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[33952, 33951, 33703])).
% 9.69/7.26 tff(33954,plain,
% 9.69/7.26 (((~v130(constB21)) | (~v154(constB21))) | v130(constB21)),
% 9.69/7.26 inference(tautology,[status(thm)],[])).
% 9.69/7.26 tff(33955,plain,
% 9.69/7.26 ((~v130(constB21)) | (~v154(constB21))),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[33954, 33953])).
% 9.69/7.26 tff(33956,plain,
% 9.69/7.26 ((~(v164(constB21) <=> (~((~v130(constB21)) | (~v154(constB21)))))) | (~v164(constB21)) | (~((~v130(constB21)) | (~v154(constB21))))),
% 9.69/7.26 inference(tautology,[status(thm)],[])).
% 9.69/7.26 tff(33957,plain,
% 9.69/7.26 (~v164(constB21)),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[33956, 33955, 33701])).
% 9.69/7.26 tff(33958,plain,
% 9.69/7.26 ((~(v163(constB21) | v164(constB21))) | v163(constB21) | v164(constB21)),
% 9.69/7.26 inference(tautology,[status(thm)],[])).
% 9.69/7.26 tff(33959,plain,
% 9.69/7.26 (~(v163(constB21) | v164(constB21))),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[33958, 33957, 33694])).
% 9.69/7.26 tff(33960,plain,
% 9.69/7.26 ((~(v160(constB21) <=> (v163(constB21) | v164(constB21)))) | (~v160(constB21)) | (v163(constB21) | v164(constB21))),
% 9.69/7.26 inference(tautology,[status(thm)],[])).
% 9.69/7.26 tff(33961,plain,
% 9.69/7.26 (~v160(constB21)),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[33960, 33959, 33683])).
% 9.69/7.26 tff(33962,plain,
% 9.69/7.26 ((~(v162(constB22) <=> v160(constB21))) | (~v162(constB22)) | v160(constB21)),
% 9.69/7.26 inference(tautology,[status(thm)],[])).
% 9.69/7.26 tff(33963,plain,
% 9.69/7.26 (~v162(constB22)),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[33962, 33961, 33681])).
% 9.69/7.26 tff(33964,plain,
% 9.69/7.26 ((~(v128(constB22) <=> v162(constB22))) | (~v128(constB22)) | v162(constB22)),
% 9.69/7.26 inference(tautology,[status(thm)],[])).
% 9.69/7.26 tff(33965,plain,
% 9.69/7.26 (~v128(constB22)),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[33964, 33963, 33677])).
% 9.69/7.26 tff(33966,plain,
% 9.69/7.26 (((~v128(constB22)) | (~v139(constB22))) | v128(constB22)),
% 9.69/7.26 inference(tautology,[status(thm)],[])).
% 9.69/7.26 tff(33967,plain,
% 9.69/7.26 ((~v128(constB22)) | (~v139(constB22))),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[33966, 33965])).
% 9.69/7.26 tff(33968,plain,
% 9.69/7.26 ((~(v163(constB22) <=> (~((~v128(constB22)) | (~v139(constB22)))))) | (~v163(constB22)) | (~((~v128(constB22)) | (~v139(constB22))))),
% 9.69/7.26 inference(tautology,[status(thm)],[])).
% 9.69/7.26 tff(33969,plain,
% 9.69/7.26 (~v163(constB22)),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[33968, 33967, 33675])).
% 9.69/7.26 tff(33970,plain,
% 9.69/7.26 ((~(v163(constB22) | v164(constB22))) | v163(constB22) | v164(constB22)),
% 9.69/7.26 inference(tautology,[status(thm)],[])).
% 9.69/7.26 tff(33971,plain,
% 9.69/7.26 (~(v163(constB22) | v164(constB22))),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[33970, 33969, 33668])).
% 9.69/7.26 tff(33972,plain,
% 9.69/7.26 ((~(v160(constB22) <=> (v163(constB22) | v164(constB22)))) | (~v160(constB22)) | (v163(constB22) | v164(constB22))),
% 9.69/7.26 inference(tautology,[status(thm)],[])).
% 9.69/7.26 tff(33973,plain,
% 9.69/7.26 (~v160(constB22)),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[33972, 33971, 33657])).
% 9.69/7.26 tff(33974,plain,
% 9.69/7.26 ((~(v162(constB23) <=> v160(constB22))) | (~v162(constB23)) | v160(constB22)),
% 9.69/7.26 inference(tautology,[status(thm)],[])).
% 9.69/7.26 tff(33975,plain,
% 9.69/7.26 (~v162(constB23)),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[33974, 33973, 33655])).
% 9.69/7.26 tff(33976,plain,
% 9.69/7.26 ($false),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[33975, 33651])).
% 9.69/7.26 tff(33977,plain,(~(constB23 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.69/7.26 tff(33978,assumption,(constB63 = VarCurr!0), introduced(assumption)).
% 9.69/7.26 tff(33979,plain,
% 9.69/7.26 (v162(constB63) <=> v162(VarCurr!0)),
% 9.69/7.26 inference(monotonicity,[status(thm)],[33978])).
% 9.69/7.26 tff(33980,plain,
% 9.69/7.26 (v162(VarCurr!0) <=> v162(constB63)),
% 9.69/7.26 inference(symmetry,[status(thm)],[33979])).
% 9.69/7.26 tff(33981,plain,
% 9.69/7.26 (v162(constB63)),
% 9.69/7.26 inference(modus_ponens,[status(thm)],[59, 33980])).
% 9.69/7.26 tff(33982,plain,
% 9.69/7.26 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB62, constB63)) | (v162(constB63) <=> v160(constB62)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB62, constB63)) | (v162(constB63) <=> v160(constB62)))),
% 9.69/7.26 inference(rewrite,[status(thm)],[])).
% 9.69/7.26 tff(33983,plain,
% 9.69/7.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB62, constB63)) | (v162(constB63) <=> v160(constB62)))),
% 9.69/7.26 inference(quant_inst,[status(thm)],[])).
% 9.69/7.26 tff(33984,plain,
% 9.69/7.26 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB62, constB63)) | (v162(constB63) <=> v160(constB62))),
% 9.69/7.26 inference(modus_ponens,[status(thm)],[33983, 33982])).
% 9.69/7.26 tff(33985,plain,
% 9.69/7.26 (v162(constB63) <=> v160(constB62)),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[33984, 6904, 70])).
% 9.69/7.26 tff(33986,plain,
% 9.69/7.26 ((~![VarCurr: $i] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB62) <=> (v163(constB62) | v164(constB62)))),
% 9.69/7.26 inference(quant_inst,[status(thm)],[])).
% 9.69/7.26 tff(33987,plain,
% 9.69/7.26 (v160(constB62) <=> (v163(constB62) | v164(constB62))),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[33986, 84])).
% 9.69/7.26 tff(33988,plain,
% 9.69/7.26 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB62) <=> (~((~v130(constB62)) | (~v154(constB62)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB62) <=> (~((~v130(constB62)) | (~v154(constB62))))))),
% 9.69/7.26 inference(rewrite,[status(thm)],[])).
% 9.69/7.26 tff(33989,plain,
% 9.69/7.26 ((v164(constB62) <=> (~((~v154(constB62)) | (~v130(constB62))))) <=> (v164(constB62) <=> (~((~v130(constB62)) | (~v154(constB62)))))),
% 9.69/7.26 inference(rewrite,[status(thm)],[])).
% 9.69/7.26 tff(33990,plain,
% 9.69/7.26 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB62) <=> (~((~v154(constB62)) | (~v130(constB62)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB62) <=> (~((~v130(constB62)) | (~v154(constB62))))))),
% 9.69/7.26 inference(monotonicity,[status(thm)],[33989])).
% 9.69/7.26 tff(33991,plain,
% 9.69/7.26 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB62) <=> (~((~v154(constB62)) | (~v130(constB62)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB62) <=> (~((~v130(constB62)) | (~v154(constB62))))))),
% 9.69/7.26 inference(transitivity,[status(thm)],[33990, 33988])).
% 9.69/7.26 tff(33992,plain,
% 9.69/7.26 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB62) <=> (~((~v154(constB62)) | (~v130(constB62)))))),
% 9.69/7.26 inference(quant_inst,[status(thm)],[])).
% 9.69/7.26 tff(33993,plain,
% 9.69/7.26 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB62) <=> (~((~v130(constB62)) | (~v154(constB62)))))),
% 9.69/7.26 inference(modus_ponens,[status(thm)],[33992, 33991])).
% 9.69/7.26 tff(33994,plain,
% 9.69/7.26 (v164(constB62) <=> (~((~v130(constB62)) | (~v154(constB62))))),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[33993, 96])).
% 9.69/7.26 tff(33995,plain,
% 9.69/7.26 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB62) <=> (~((~v141(constB62)) | (~v143(constB62)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB62) <=> (~((~v141(constB62)) | (~v143(constB62))))))),
% 9.69/7.26 inference(rewrite,[status(thm)],[])).
% 9.69/7.26 tff(33996,plain,
% 9.69/7.26 ((v154(constB62) <=> (~((~v143(constB62)) | (~v141(constB62))))) <=> (v154(constB62) <=> (~((~v141(constB62)) | (~v143(constB62)))))),
% 9.69/7.26 inference(rewrite,[status(thm)],[])).
% 9.69/7.26 tff(33997,plain,
% 9.69/7.26 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB62) <=> (~((~v143(constB62)) | (~v141(constB62)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB62) <=> (~((~v141(constB62)) | (~v143(constB62))))))),
% 9.69/7.26 inference(monotonicity,[status(thm)],[33996])).
% 9.69/7.26 tff(33998,plain,
% 9.69/7.26 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB62) <=> (~((~v143(constB62)) | (~v141(constB62)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB62) <=> (~((~v141(constB62)) | (~v143(constB62))))))),
% 9.69/7.26 inference(transitivity,[status(thm)],[33997, 33995])).
% 9.69/7.26 tff(33999,plain,
% 9.69/7.26 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB62) <=> (~((~v143(constB62)) | (~v141(constB62)))))),
% 9.69/7.26 inference(quant_inst,[status(thm)],[])).
% 9.69/7.26 tff(34000,plain,
% 9.69/7.26 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB62) <=> (~((~v141(constB62)) | (~v143(constB62)))))),
% 9.69/7.26 inference(modus_ponens,[status(thm)],[33999, 33998])).
% 9.69/7.26 tff(34001,plain,
% 9.69/7.26 (v154(constB62) <=> (~((~v141(constB62)) | (~v143(constB62))))),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[34000, 113])).
% 9.69/7.26 tff(34002,plain,
% 9.69/7.26 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB62) <=> (~((~v39(constB62)) | (~v9(constB62)))))),
% 9.69/7.26 inference(quant_inst,[status(thm)],[])).
% 9.69/7.26 tff(34003,plain,
% 9.69/7.26 (v141(constB62) <=> (~((~v39(constB62)) | (~v9(constB62))))),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[34002, 130])).
% 9.69/7.26 tff(34004,plain,
% 9.69/7.26 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB62)) <=> v1(constB62))),
% 9.69/7.26 inference(quant_inst,[status(thm)],[])).
% 9.69/7.26 tff(34005,plain,
% 9.69/7.26 ((~v39(constB62)) <=> v1(constB62)),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[34004, 139])).
% 9.69/7.26 tff(34006,plain,
% 9.69/7.26 ((~((~v39(constB62)) <=> v1(constB62))) | (~v39(constB62)) | (~v1(constB62))),
% 9.69/7.26 inference(tautology,[status(thm)],[])).
% 9.69/7.26 tff(34007,plain,
% 9.69/7.26 ((~((~v39(constB62)) <=> v1(constB62))) | (~v39(constB62))),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[34006, 6966])).
% 9.69/7.26 tff(34008,plain,
% 9.69/7.26 (~v39(constB62)),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[34007, 34005])).
% 9.69/7.26 tff(34009,plain,
% 9.69/7.26 (((~v39(constB62)) | (~v9(constB62))) | v39(constB62)),
% 9.69/7.26 inference(tautology,[status(thm)],[])).
% 9.69/7.26 tff(34010,plain,
% 9.69/7.26 ((~v39(constB62)) | (~v9(constB62))),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[34009, 34008])).
% 9.69/7.26 tff(34011,plain,
% 9.69/7.26 ((~(v141(constB62) <=> (~((~v39(constB62)) | (~v9(constB62)))))) | (~v141(constB62)) | (~((~v39(constB62)) | (~v9(constB62))))),
% 9.69/7.26 inference(tautology,[status(thm)],[])).
% 9.69/7.26 tff(34012,plain,
% 9.69/7.26 ((~(v141(constB62) <=> (~((~v39(constB62)) | (~v9(constB62)))))) | (~v141(constB62))),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[34011, 34010])).
% 9.69/7.26 tff(34013,plain,
% 9.69/7.26 (~v141(constB62)),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[34012, 34003])).
% 9.69/7.26 tff(34014,plain,
% 9.69/7.26 (((~v141(constB62)) | (~v143(constB62))) | v141(constB62)),
% 9.69/7.26 inference(tautology,[status(thm)],[])).
% 9.69/7.26 tff(34015,plain,
% 9.69/7.26 ((~v141(constB62)) | (~v143(constB62))),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[34014, 34013])).
% 9.69/7.26 tff(34016,plain,
% 9.69/7.26 ((~(v154(constB62) <=> (~((~v141(constB62)) | (~v143(constB62)))))) | (~v154(constB62)) | (~((~v141(constB62)) | (~v143(constB62))))),
% 9.69/7.26 inference(tautology,[status(thm)],[])).
% 9.69/7.26 tff(34017,plain,
% 9.69/7.26 ((~(v154(constB62) <=> (~((~v141(constB62)) | (~v143(constB62)))))) | (~v154(constB62))),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[34016, 34015])).
% 9.69/7.26 tff(34018,plain,
% 9.69/7.26 (~v154(constB62)),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[34017, 34001])).
% 9.69/7.26 tff(34019,plain,
% 9.69/7.26 (((~v130(constB62)) | (~v154(constB62))) | v154(constB62)),
% 9.69/7.26 inference(tautology,[status(thm)],[])).
% 9.69/7.26 tff(34020,plain,
% 9.69/7.26 ((~v130(constB62)) | (~v154(constB62))),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[34019, 34018])).
% 9.69/7.26 tff(34021,plain,
% 9.69/7.26 ((~(v164(constB62) <=> (~((~v130(constB62)) | (~v154(constB62)))))) | (~v164(constB62)) | (~((~v130(constB62)) | (~v154(constB62))))),
% 9.69/7.26 inference(tautology,[status(thm)],[])).
% 9.69/7.26 tff(34022,plain,
% 9.69/7.26 (~v164(constB62)),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[34021, 34020, 33994])).
% 9.69/7.26 tff(34023,plain,
% 9.69/7.26 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB62) <=> (~((~v128(constB62)) | (~v139(constB62)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB62) <=> (~((~v128(constB62)) | (~v139(constB62))))))),
% 9.69/7.26 inference(rewrite,[status(thm)],[])).
% 9.69/7.26 tff(34024,plain,
% 9.69/7.26 ((v163(constB62) <=> (~((~v139(constB62)) | (~v128(constB62))))) <=> (v163(constB62) <=> (~((~v128(constB62)) | (~v139(constB62)))))),
% 9.69/7.26 inference(rewrite,[status(thm)],[])).
% 9.69/7.26 tff(34025,plain,
% 9.69/7.26 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB62) <=> (~((~v139(constB62)) | (~v128(constB62)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB62) <=> (~((~v128(constB62)) | (~v139(constB62))))))),
% 9.69/7.26 inference(monotonicity,[status(thm)],[34024])).
% 9.69/7.26 tff(34026,plain,
% 9.69/7.26 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB62) <=> (~((~v139(constB62)) | (~v128(constB62)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB62) <=> (~((~v128(constB62)) | (~v139(constB62))))))),
% 9.69/7.26 inference(transitivity,[status(thm)],[34025, 34023])).
% 9.69/7.26 tff(34027,plain,
% 9.69/7.26 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB62) <=> (~((~v139(constB62)) | (~v128(constB62)))))),
% 9.69/7.26 inference(quant_inst,[status(thm)],[])).
% 9.69/7.26 tff(34028,plain,
% 9.69/7.26 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB62) <=> (~((~v128(constB62)) | (~v139(constB62)))))),
% 9.69/7.26 inference(modus_ponens,[status(thm)],[34027, 34026])).
% 9.69/7.26 tff(34029,plain,
% 9.69/7.26 (v163(constB62) <=> (~((~v128(constB62)) | (~v139(constB62))))),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[34028, 171])).
% 9.69/7.26 tff(34030,plain,
% 9.69/7.26 ((~![VarNext: $i] : (v128(VarNext) <=> v162(VarNext))) | (v128(constB62) <=> v162(constB62))),
% 9.69/7.26 inference(quant_inst,[status(thm)],[])).
% 9.69/7.26 tff(34031,plain,
% 9.69/7.26 (v128(constB62) <=> v162(constB62)),
% 9.69/7.26 inference(unit_resolution,[status(thm)],[34030, 13])).
% 9.69/7.26 tff(34032,plain,
% 9.69/7.26 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB61, constB62)) | (v162(constB62) <=> v160(constB61)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB61, constB62)) | (v162(constB62) <=> v160(constB61)))),
% 9.69/7.27 inference(rewrite,[status(thm)],[])).
% 9.69/7.27 tff(34033,plain,
% 9.69/7.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB61, constB62)) | (v162(constB62) <=> v160(constB61)))),
% 9.69/7.27 inference(quant_inst,[status(thm)],[])).
% 9.69/7.27 tff(34034,plain,
% 9.69/7.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB61, constB62)) | (v162(constB62) <=> v160(constB61))),
% 9.69/7.27 inference(modus_ponens,[status(thm)],[34033, 34032])).
% 9.69/7.27 tff(34035,plain,
% 9.69/7.27 (v162(constB62) <=> v160(constB61)),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34034, 6936, 70])).
% 9.69/7.27 tff(34036,plain,
% 9.69/7.27 ((~![VarCurr: $i] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB61) <=> (v163(constB61) | v164(constB61)))),
% 9.69/7.27 inference(quant_inst,[status(thm)],[])).
% 9.69/7.27 tff(34037,plain,
% 9.69/7.27 (v160(constB61) <=> (v163(constB61) | v164(constB61))),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34036, 84])).
% 9.69/7.27 tff(34038,plain,
% 9.69/7.27 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB61) <=> (~((~v128(constB61)) | (~v139(constB61)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB61) <=> (~((~v128(constB61)) | (~v139(constB61))))))),
% 9.69/7.27 inference(rewrite,[status(thm)],[])).
% 9.69/7.27 tff(34039,plain,
% 9.69/7.27 ((v163(constB61) <=> (~((~v139(constB61)) | (~v128(constB61))))) <=> (v163(constB61) <=> (~((~v128(constB61)) | (~v139(constB61)))))),
% 9.69/7.27 inference(rewrite,[status(thm)],[])).
% 9.69/7.27 tff(34040,plain,
% 9.69/7.27 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB61) <=> (~((~v139(constB61)) | (~v128(constB61)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB61) <=> (~((~v128(constB61)) | (~v139(constB61))))))),
% 9.69/7.27 inference(monotonicity,[status(thm)],[34039])).
% 9.69/7.27 tff(34041,plain,
% 9.69/7.27 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB61) <=> (~((~v139(constB61)) | (~v128(constB61)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB61) <=> (~((~v128(constB61)) | (~v139(constB61))))))),
% 9.69/7.27 inference(transitivity,[status(thm)],[34040, 34038])).
% 9.69/7.27 tff(34042,plain,
% 9.69/7.27 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB61) <=> (~((~v139(constB61)) | (~v128(constB61)))))),
% 9.69/7.27 inference(quant_inst,[status(thm)],[])).
% 9.69/7.27 tff(34043,plain,
% 9.69/7.27 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB61) <=> (~((~v128(constB61)) | (~v139(constB61)))))),
% 9.69/7.27 inference(modus_ponens,[status(thm)],[34042, 34041])).
% 9.69/7.27 tff(34044,plain,
% 9.69/7.27 (v163(constB61) <=> (~((~v128(constB61)) | (~v139(constB61))))),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34043, 171])).
% 9.69/7.27 tff(34045,plain,
% 9.69/7.27 ((~![VarCurr: $i] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB61)) <=> v140(constB61))),
% 9.69/7.27 inference(quant_inst,[status(thm)],[])).
% 9.69/7.27 tff(34046,plain,
% 9.69/7.27 ((~v139(constB61)) <=> v140(constB61)),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34045, 203])).
% 9.69/7.27 tff(34047,plain,
% 9.69/7.27 ((~![VarCurr: $i] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB61) <=> (v141(constB61) | v26(constB61)))),
% 9.69/7.27 inference(quant_inst,[status(thm)],[])).
% 9.69/7.27 tff(34048,plain,
% 9.69/7.27 (v140(constB61) <=> (v141(constB61) | v26(constB61))),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34047, 212])).
% 9.69/7.27 tff(34049,plain,
% 9.69/7.27 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB61) <=> (~((~v39(constB61)) | (~v9(constB61)))))),
% 9.69/7.27 inference(quant_inst,[status(thm)],[])).
% 9.69/7.27 tff(34050,plain,
% 9.69/7.27 (v141(constB61) <=> (~((~v39(constB61)) | (~v9(constB61))))),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34049, 130])).
% 9.69/7.27 tff(34051,plain,
% 9.69/7.27 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB61, constB62)) | (v13(constB62) <=> v9(constB61)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB61, constB62)) | (v13(constB62) <=> v9(constB61)))),
% 9.69/7.27 inference(rewrite,[status(thm)],[])).
% 9.69/7.27 tff(34052,plain,
% 9.69/7.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB61, constB62)) | (v13(constB62) <=> v9(constB61)))),
% 9.69/7.27 inference(quant_inst,[status(thm)],[])).
% 9.69/7.27 tff(34053,plain,
% 9.69/7.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB61, constB62)) | (v13(constB62) <=> v9(constB61))),
% 9.69/7.27 inference(modus_ponens,[status(thm)],[34052, 34051])).
% 9.69/7.27 tff(34054,plain,
% 9.69/7.27 (v13(constB62) <=> v9(constB61)),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34053, 6936, 226])).
% 9.69/7.27 tff(34055,plain,
% 9.69/7.27 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB62) <=> v13(constB62))),
% 9.69/7.27 inference(quant_inst,[status(thm)],[])).
% 9.69/7.27 tff(34056,plain,
% 9.69/7.27 (v6(constB62) <=> v13(constB62)),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34055, 240])).
% 9.69/7.27 tff(34057,plain,
% 9.69/7.27 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB62)) <=> v6(constB62))),
% 9.69/7.27 inference(quant_inst,[status(thm)],[])).
% 9.69/7.27 tff(34058,plain,
% 9.69/7.27 ((~v21(constB62)) <=> v6(constB62)),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34057, 249])).
% 9.69/7.27 tff(34059,plain,
% 9.69/7.27 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB62) <=> (v20(constB62) | v21(constB62)))),
% 9.69/7.27 inference(quant_inst,[status(thm)],[])).
% 9.69/7.27 tff(34060,plain,
% 9.69/7.27 (v19(constB62) <=> (v20(constB62) | v21(constB62))),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34059, 258])).
% 9.69/7.27 tff(34061,plain,
% 9.69/7.27 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB62) <=> (~((~v19(constB62)) | (~v22(constB62)))))),
% 9.69/7.27 inference(quant_inst,[status(thm)],[])).
% 9.69/7.27 tff(34062,plain,
% 9.69/7.27 (v18(constB62) <=> (~((~v19(constB62)) | (~v22(constB62))))),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34061, 270])).
% 9.69/7.27 tff(34063,plain,
% 9.69/7.27 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB62)) <=> v18(constB62))),
% 9.69/7.27 inference(quant_inst,[status(thm)],[])).
% 9.69/7.27 tff(34064,plain,
% 9.69/7.27 ((~v4(constB62)) <=> v18(constB62)),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34063, 279])).
% 9.69/7.27 tff(34065,plain,
% 9.69/7.27 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB62)),
% 9.69/7.27 inference(quant_inst,[status(thm)],[])).
% 9.69/7.27 tff(34066,plain,
% 9.69/7.27 (v4(constB62)),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34065, 288])).
% 9.69/7.27 tff(34067,plain,
% 9.69/7.27 ((~((~v4(constB62)) <=> v18(constB62))) | (~v4(constB62)) | (~v18(constB62))),
% 9.69/7.27 inference(tautology,[status(thm)],[])).
% 9.69/7.27 tff(34068,plain,
% 9.69/7.27 (~v18(constB62)),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34067, 34066, 34064])).
% 9.69/7.27 tff(34069,plain,
% 9.69/7.27 ((~(v18(constB62) <=> (~((~v19(constB62)) | (~v22(constB62)))))) | v18(constB62) | ((~v19(constB62)) | (~v22(constB62)))),
% 9.69/7.27 inference(tautology,[status(thm)],[])).
% 9.69/7.27 tff(34070,plain,
% 9.69/7.27 ((~v19(constB62)) | (~v22(constB62))),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34069, 34068, 34062])).
% 9.69/7.27 tff(34071,plain,
% 9.69/7.27 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB62) <=> (v1(constB62) | v6(constB62)))),
% 9.69/7.27 inference(quant_inst,[status(thm)],[])).
% 9.69/7.27 tff(34072,plain,
% 9.69/7.27 (v22(constB62) <=> (v1(constB62) | v6(constB62))),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34071, 301])).
% 9.69/7.27 tff(34073,plain,
% 9.69/7.27 ((v1(constB62) | v6(constB62)) | (~v1(constB62))),
% 9.69/7.27 inference(tautology,[status(thm)],[])).
% 9.69/7.27 tff(34074,plain,
% 9.69/7.27 (v1(constB62) | v6(constB62)),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34073, 6966])).
% 9.69/7.27 tff(34075,plain,
% 9.69/7.27 ((~(v22(constB62) <=> (v1(constB62) | v6(constB62)))) | v22(constB62) | (~(v1(constB62) | v6(constB62)))),
% 9.69/7.27 inference(tautology,[status(thm)],[])).
% 9.69/7.27 tff(34076,plain,
% 9.69/7.27 ((~(v22(constB62) <=> (v1(constB62) | v6(constB62)))) | v22(constB62)),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34075, 34074])).
% 9.69/7.27 tff(34077,plain,
% 9.69/7.27 (v22(constB62)),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34076, 34072])).
% 9.69/7.27 tff(34078,plain,
% 9.69/7.27 ((~((~v19(constB62)) | (~v22(constB62)))) | (~v19(constB62)) | (~v22(constB62))),
% 9.69/7.27 inference(tautology,[status(thm)],[])).
% 9.69/7.27 tff(34079,plain,
% 9.69/7.27 ((~((~v19(constB62)) | (~v22(constB62)))) | (~v19(constB62))),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34078, 34077])).
% 9.69/7.27 tff(34080,plain,
% 9.69/7.27 (~v19(constB62)),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34079, 34070])).
% 9.69/7.27 tff(34081,plain,
% 9.69/7.27 ((~(v19(constB62) <=> (v20(constB62) | v21(constB62)))) | v19(constB62) | (~(v20(constB62) | v21(constB62)))),
% 9.69/7.27 inference(tautology,[status(thm)],[])).
% 9.69/7.27 tff(34082,plain,
% 9.69/7.27 (~(v20(constB62) | v21(constB62))),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34081, 34080, 34060])).
% 9.69/7.27 tff(34083,plain,
% 9.69/7.27 ((v20(constB62) | v21(constB62)) | (~v21(constB62))),
% 9.69/7.27 inference(tautology,[status(thm)],[])).
% 9.69/7.27 tff(34084,plain,
% 9.69/7.27 (~v21(constB62)),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34083, 34082])).
% 9.69/7.27 tff(34085,plain,
% 9.69/7.27 ((~((~v21(constB62)) <=> v6(constB62))) | v21(constB62) | v6(constB62)),
% 9.69/7.27 inference(tautology,[status(thm)],[])).
% 9.69/7.27 tff(34086,plain,
% 9.69/7.27 (v6(constB62)),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34085, 34084, 34058])).
% 9.69/7.27 tff(34087,plain,
% 9.69/7.27 ((~(v6(constB62) <=> v13(constB62))) | (~v6(constB62)) | v13(constB62)),
% 9.69/7.27 inference(tautology,[status(thm)],[])).
% 9.69/7.27 tff(34088,plain,
% 9.69/7.27 (v13(constB62)),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34087, 34086, 34056])).
% 9.69/7.27 tff(34089,plain,
% 9.69/7.27 ((~(v13(constB62) <=> v9(constB61))) | (~v13(constB62)) | v9(constB61)),
% 9.69/7.27 inference(tautology,[status(thm)],[])).
% 9.69/7.27 tff(34090,plain,
% 9.69/7.27 (v9(constB61)),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34089, 34088, 34054])).
% 9.69/7.27 tff(34091,plain,
% 9.69/7.27 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB61)) <=> v1(constB61))),
% 9.69/7.27 inference(quant_inst,[status(thm)],[])).
% 9.69/7.27 tff(34092,plain,
% 9.69/7.27 ((~v39(constB61)) <=> v1(constB61)),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34091, 139])).
% 9.69/7.27 tff(34093,plain,
% 9.69/7.27 ((~((~v39(constB61)) <=> v1(constB61))) | v39(constB61) | v1(constB61)),
% 9.69/7.27 inference(tautology,[status(thm)],[])).
% 9.69/7.27 tff(34094,plain,
% 9.69/7.27 ((~((~v39(constB61)) <=> v1(constB61))) | v39(constB61)),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34093, 6958])).
% 9.69/7.27 tff(34095,plain,
% 9.69/7.27 (v39(constB61)),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34094, 34092])).
% 9.69/7.27 tff(34096,plain,
% 9.69/7.27 ((~((~v39(constB61)) | (~v9(constB61)))) | (~v39(constB61)) | (~v9(constB61))),
% 9.69/7.27 inference(tautology,[status(thm)],[])).
% 9.69/7.27 tff(34097,plain,
% 9.69/7.27 ((~((~v39(constB61)) | (~v9(constB61)))) | (~v9(constB61))),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34096, 34095])).
% 9.69/7.27 tff(34098,plain,
% 9.69/7.27 (~((~v39(constB61)) | (~v9(constB61)))),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34097, 34090])).
% 9.69/7.27 tff(34099,plain,
% 9.69/7.27 ((~(v141(constB61) <=> (~((~v39(constB61)) | (~v9(constB61)))))) | v141(constB61) | ((~v39(constB61)) | (~v9(constB61)))),
% 9.69/7.27 inference(tautology,[status(thm)],[])).
% 9.69/7.27 tff(34100,plain,
% 9.69/7.27 (v141(constB61)),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34099, 34098, 34050])).
% 9.69/7.27 tff(34101,plain,
% 9.69/7.27 ((v141(constB61) | v26(constB61)) | (~v141(constB61))),
% 9.69/7.27 inference(tautology,[status(thm)],[])).
% 9.69/7.27 tff(34102,plain,
% 9.69/7.27 (v141(constB61) | v26(constB61)),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34101, 34100])).
% 9.69/7.27 tff(34103,plain,
% 9.69/7.27 ((~(v140(constB61) <=> (v141(constB61) | v26(constB61)))) | v140(constB61) | (~(v141(constB61) | v26(constB61)))),
% 9.69/7.27 inference(tautology,[status(thm)],[])).
% 9.69/7.27 tff(34104,plain,
% 9.69/7.27 (v140(constB61)),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34103, 34102, 34048])).
% 9.69/7.27 tff(34105,plain,
% 9.69/7.27 ((~((~v139(constB61)) <=> v140(constB61))) | (~v139(constB61)) | (~v140(constB61))),
% 9.69/7.27 inference(tautology,[status(thm)],[])).
% 9.69/7.27 tff(34106,plain,
% 9.69/7.27 (~v139(constB61)),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34105, 34104, 34046])).
% 9.69/7.27 tff(34107,plain,
% 9.69/7.27 (((~v128(constB61)) | (~v139(constB61))) | v139(constB61)),
% 9.69/7.27 inference(tautology,[status(thm)],[])).
% 9.69/7.27 tff(34108,plain,
% 9.69/7.27 ((~v128(constB61)) | (~v139(constB61))),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34107, 34106])).
% 9.69/7.27 tff(34109,plain,
% 9.69/7.27 ((~(v163(constB61) <=> (~((~v128(constB61)) | (~v139(constB61)))))) | (~v163(constB61)) | (~((~v128(constB61)) | (~v139(constB61))))),
% 9.69/7.27 inference(tautology,[status(thm)],[])).
% 9.69/7.27 tff(34110,plain,
% 9.69/7.27 (~v163(constB61)),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34109, 34108, 34044])).
% 9.69/7.27 tff(34111,plain,
% 9.69/7.27 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB61) <=> (~((~v130(constB61)) | (~v154(constB61)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB61) <=> (~((~v130(constB61)) | (~v154(constB61))))))),
% 9.69/7.27 inference(rewrite,[status(thm)],[])).
% 9.69/7.27 tff(34112,plain,
% 9.69/7.27 ((v164(constB61) <=> (~((~v154(constB61)) | (~v130(constB61))))) <=> (v164(constB61) <=> (~((~v130(constB61)) | (~v154(constB61)))))),
% 9.69/7.27 inference(rewrite,[status(thm)],[])).
% 9.69/7.27 tff(34113,plain,
% 9.69/7.27 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB61) <=> (~((~v154(constB61)) | (~v130(constB61)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB61) <=> (~((~v130(constB61)) | (~v154(constB61))))))),
% 9.69/7.27 inference(monotonicity,[status(thm)],[34112])).
% 9.69/7.27 tff(34114,plain,
% 9.69/7.27 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB61) <=> (~((~v154(constB61)) | (~v130(constB61)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB61) <=> (~((~v130(constB61)) | (~v154(constB61))))))),
% 9.69/7.27 inference(transitivity,[status(thm)],[34113, 34111])).
% 9.69/7.27 tff(34115,plain,
% 9.69/7.27 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB61) <=> (~((~v154(constB61)) | (~v130(constB61)))))),
% 9.69/7.27 inference(quant_inst,[status(thm)],[])).
% 9.69/7.27 tff(34116,plain,
% 9.69/7.27 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB61) <=> (~((~v130(constB61)) | (~v154(constB61)))))),
% 9.69/7.27 inference(modus_ponens,[status(thm)],[34115, 34114])).
% 9.69/7.27 tff(34117,plain,
% 9.69/7.27 (v164(constB61) <=> (~((~v130(constB61)) | (~v154(constB61))))),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34116, 96])).
% 9.69/7.27 tff(34118,plain,
% 9.69/7.27 ((~![VarNext: $i] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB61) <=> v152(constB61))),
% 9.69/7.27 inference(quant_inst,[status(thm)],[])).
% 9.69/7.27 tff(34119,plain,
% 9.69/7.27 (v130(constB61) <=> v152(constB61)),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34118, 361])).
% 9.69/7.27 tff(34120,plain,
% 9.69/7.27 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB60, constB61)) | (v152(constB61) <=> v150(constB60)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB60, constB61)) | (v152(constB61) <=> v150(constB60)))),
% 9.69/7.27 inference(rewrite,[status(thm)],[])).
% 9.69/7.27 tff(34121,plain,
% 9.69/7.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB60, constB61)) | (v152(constB61) <=> v150(constB60)))),
% 9.69/7.27 inference(quant_inst,[status(thm)],[])).
% 9.69/7.27 tff(34122,plain,
% 9.69/7.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB60, constB61)) | (v152(constB61) <=> v150(constB60))),
% 9.69/7.27 inference(modus_ponens,[status(thm)],[34121, 34120])).
% 9.69/7.27 tff(34123,plain,
% 9.69/7.27 (v152(constB61) <=> v150(constB60)),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34122, 6991, 373])).
% 9.69/7.27 tff(34124,plain,
% 9.69/7.27 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v153(VarCurr) | v155(VarCurr)))) | (v150(constB60) <=> (v153(constB60) | v155(constB60)))),
% 9.69/7.27 inference(quant_inst,[status(thm)],[])).
% 9.69/7.27 tff(34125,plain,
% 9.69/7.27 (v150(constB60) <=> (v153(constB60) | v155(constB60))),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34124, 387])).
% 9.69/7.27 tff(34126,plain,
% 9.69/7.27 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB60) <=> (~((~v132(constB60)) | (~v154(constB60)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB60) <=> (~((~v132(constB60)) | (~v154(constB60))))))),
% 9.69/7.27 inference(rewrite,[status(thm)],[])).
% 9.69/7.27 tff(34127,plain,
% 9.69/7.27 ((v153(constB60) <=> (~((~v154(constB60)) | (~v132(constB60))))) <=> (v153(constB60) <=> (~((~v132(constB60)) | (~v154(constB60)))))),
% 9.69/7.27 inference(rewrite,[status(thm)],[])).
% 9.69/7.27 tff(34128,plain,
% 9.69/7.27 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB60) <=> (~((~v154(constB60)) | (~v132(constB60)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB60) <=> (~((~v132(constB60)) | (~v154(constB60))))))),
% 9.69/7.27 inference(monotonicity,[status(thm)],[34127])).
% 9.69/7.27 tff(34129,plain,
% 9.69/7.27 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB60) <=> (~((~v154(constB60)) | (~v132(constB60)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB60) <=> (~((~v132(constB60)) | (~v154(constB60))))))),
% 9.69/7.27 inference(transitivity,[status(thm)],[34128, 34126])).
% 9.69/7.27 tff(34130,plain,
% 9.69/7.27 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB60) <=> (~((~v154(constB60)) | (~v132(constB60)))))),
% 9.69/7.27 inference(quant_inst,[status(thm)],[])).
% 9.69/7.27 tff(34131,plain,
% 9.69/7.27 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB60) <=> (~((~v132(constB60)) | (~v154(constB60)))))),
% 9.69/7.27 inference(modus_ponens,[status(thm)],[34130, 34129])).
% 9.69/7.27 tff(34132,plain,
% 9.69/7.27 (v153(constB60) <=> (~((~v132(constB60)) | (~v154(constB60))))),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34131, 399])).
% 9.69/7.27 tff(34133,plain,
% 9.69/7.27 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB60) <=> (~((~v141(constB60)) | (~v143(constB60)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB60) <=> (~((~v141(constB60)) | (~v143(constB60))))))),
% 9.69/7.27 inference(rewrite,[status(thm)],[])).
% 9.69/7.27 tff(34134,plain,
% 9.69/7.27 ((v154(constB60) <=> (~((~v143(constB60)) | (~v141(constB60))))) <=> (v154(constB60) <=> (~((~v141(constB60)) | (~v143(constB60)))))),
% 9.69/7.27 inference(rewrite,[status(thm)],[])).
% 9.69/7.27 tff(34135,plain,
% 9.69/7.27 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB60) <=> (~((~v143(constB60)) | (~v141(constB60)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB60) <=> (~((~v141(constB60)) | (~v143(constB60))))))),
% 9.69/7.27 inference(monotonicity,[status(thm)],[34134])).
% 9.69/7.27 tff(34136,plain,
% 9.69/7.27 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB60) <=> (~((~v143(constB60)) | (~v141(constB60)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB60) <=> (~((~v141(constB60)) | (~v143(constB60))))))),
% 9.69/7.27 inference(transitivity,[status(thm)],[34135, 34133])).
% 9.69/7.27 tff(34137,plain,
% 9.69/7.27 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB60) <=> (~((~v143(constB60)) | (~v141(constB60)))))),
% 9.69/7.27 inference(quant_inst,[status(thm)],[])).
% 9.69/7.27 tff(34138,plain,
% 9.69/7.27 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB60) <=> (~((~v141(constB60)) | (~v143(constB60)))))),
% 9.69/7.27 inference(modus_ponens,[status(thm)],[34137, 34136])).
% 9.69/7.27 tff(34139,plain,
% 9.69/7.27 (v154(constB60) <=> (~((~v141(constB60)) | (~v143(constB60))))),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34138, 113])).
% 9.69/7.27 tff(34140,plain,
% 9.69/7.27 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB60) <=> (~((~v39(constB60)) | (~v9(constB60)))))),
% 9.69/7.27 inference(quant_inst,[status(thm)],[])).
% 9.69/7.27 tff(34141,plain,
% 9.69/7.27 (v141(constB60) <=> (~((~v39(constB60)) | (~v9(constB60))))),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34140, 130])).
% 9.69/7.27 tff(34142,plain,
% 9.69/7.27 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB60)) <=> v1(constB60))),
% 9.69/7.27 inference(quant_inst,[status(thm)],[])).
% 9.69/7.27 tff(34143,plain,
% 9.69/7.27 ((~v39(constB60)) <=> v1(constB60)),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34142, 139])).
% 9.69/7.27 tff(34144,plain,
% 9.69/7.27 ((~((~v39(constB60)) <=> v1(constB60))) | (~v39(constB60)) | (~v1(constB60))),
% 9.69/7.27 inference(tautology,[status(thm)],[])).
% 9.69/7.27 tff(34145,plain,
% 9.69/7.27 ((~((~v39(constB60)) <=> v1(constB60))) | (~v39(constB60))),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34144, 7053])).
% 9.69/7.27 tff(34146,plain,
% 9.69/7.27 (~v39(constB60)),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34145, 34143])).
% 9.69/7.27 tff(34147,plain,
% 9.69/7.27 (((~v39(constB60)) | (~v9(constB60))) | v39(constB60)),
% 9.69/7.27 inference(tautology,[status(thm)],[])).
% 9.69/7.27 tff(34148,plain,
% 9.69/7.27 ((~v39(constB60)) | (~v9(constB60))),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34147, 34146])).
% 9.69/7.27 tff(34149,plain,
% 9.69/7.27 ((~(v141(constB60) <=> (~((~v39(constB60)) | (~v9(constB60)))))) | (~v141(constB60)) | (~((~v39(constB60)) | (~v9(constB60))))),
% 9.69/7.27 inference(tautology,[status(thm)],[])).
% 9.69/7.27 tff(34150,plain,
% 9.69/7.27 ((~(v141(constB60) <=> (~((~v39(constB60)) | (~v9(constB60)))))) | (~v141(constB60))),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34149, 34148])).
% 9.69/7.27 tff(34151,plain,
% 9.69/7.27 (~v141(constB60)),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34150, 34141])).
% 9.69/7.27 tff(34152,plain,
% 9.69/7.27 (((~v141(constB60)) | (~v143(constB60))) | v141(constB60)),
% 9.69/7.27 inference(tautology,[status(thm)],[])).
% 9.69/7.27 tff(34153,plain,
% 9.69/7.27 ((~v141(constB60)) | (~v143(constB60))),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34152, 34151])).
% 9.69/7.27 tff(34154,plain,
% 9.69/7.27 ((~(v154(constB60) <=> (~((~v141(constB60)) | (~v143(constB60)))))) | (~v154(constB60)) | (~((~v141(constB60)) | (~v143(constB60))))),
% 9.69/7.27 inference(tautology,[status(thm)],[])).
% 9.69/7.27 tff(34155,plain,
% 9.69/7.27 ((~(v154(constB60) <=> (~((~v141(constB60)) | (~v143(constB60)))))) | (~v154(constB60))),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34154, 34153])).
% 9.69/7.27 tff(34156,plain,
% 9.69/7.27 (~v154(constB60)),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34155, 34139])).
% 9.69/7.27 tff(34157,plain,
% 9.69/7.27 (((~v132(constB60)) | (~v154(constB60))) | v154(constB60)),
% 9.69/7.27 inference(tautology,[status(thm)],[])).
% 9.69/7.27 tff(34158,plain,
% 9.69/7.27 ((~v132(constB60)) | (~v154(constB60))),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34157, 34156])).
% 9.69/7.27 tff(34159,plain,
% 9.69/7.27 ((~(v153(constB60) <=> (~((~v132(constB60)) | (~v154(constB60)))))) | (~v153(constB60)) | (~((~v132(constB60)) | (~v154(constB60))))),
% 9.69/7.27 inference(tautology,[status(thm)],[])).
% 9.69/7.27 tff(34160,plain,
% 9.69/7.27 (~v153(constB60)),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34159, 34158, 34132])).
% 9.69/7.27 tff(34161,plain,
% 9.69/7.27 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB60) <=> (~((~v130(constB60)) | (~v139(constB60)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB60) <=> (~((~v130(constB60)) | (~v139(constB60))))))),
% 9.69/7.27 inference(rewrite,[status(thm)],[])).
% 9.69/7.27 tff(34162,plain,
% 9.69/7.27 ((v155(constB60) <=> (~((~v139(constB60)) | (~v130(constB60))))) <=> (v155(constB60) <=> (~((~v130(constB60)) | (~v139(constB60)))))),
% 9.69/7.27 inference(rewrite,[status(thm)],[])).
% 9.69/7.27 tff(34163,plain,
% 9.69/7.27 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB60) <=> (~((~v139(constB60)) | (~v130(constB60)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB60) <=> (~((~v130(constB60)) | (~v139(constB60))))))),
% 9.69/7.27 inference(monotonicity,[status(thm)],[34162])).
% 9.69/7.27 tff(34164,plain,
% 9.69/7.27 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB60) <=> (~((~v139(constB60)) | (~v130(constB60)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB60) <=> (~((~v130(constB60)) | (~v139(constB60))))))),
% 9.69/7.27 inference(transitivity,[status(thm)],[34163, 34161])).
% 9.69/7.27 tff(34165,plain,
% 9.69/7.27 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB60) <=> (~((~v139(constB60)) | (~v130(constB60)))))),
% 9.69/7.27 inference(quant_inst,[status(thm)],[])).
% 9.69/7.27 tff(34166,plain,
% 9.69/7.27 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB60) <=> (~((~v130(constB60)) | (~v139(constB60)))))),
% 9.69/7.27 inference(modus_ponens,[status(thm)],[34165, 34164])).
% 9.69/7.27 tff(34167,plain,
% 9.69/7.27 (v155(constB60) <=> (~((~v130(constB60)) | (~v139(constB60))))),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34166, 447])).
% 9.69/7.27 tff(34168,plain,
% 9.69/7.27 ((~![VarNext: $i] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB60) <=> v152(constB60))),
% 9.69/7.27 inference(quant_inst,[status(thm)],[])).
% 9.69/7.27 tff(34169,plain,
% 9.69/7.27 (v130(constB60) <=> v152(constB60)),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34168, 361])).
% 9.69/7.27 tff(34170,plain,
% 9.69/7.27 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB59, constB60)) | (v152(constB60) <=> v150(constB59)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB59, constB60)) | (v152(constB60) <=> v150(constB59)))),
% 9.69/7.27 inference(rewrite,[status(thm)],[])).
% 9.69/7.27 tff(34171,plain,
% 9.69/7.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB59, constB60)) | (v152(constB60) <=> v150(constB59)))),
% 9.69/7.27 inference(quant_inst,[status(thm)],[])).
% 9.69/7.27 tff(34172,plain,
% 9.69/7.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB59, constB60)) | (v152(constB60) <=> v150(constB59))),
% 9.69/7.27 inference(modus_ponens,[status(thm)],[34171, 34170])).
% 9.69/7.27 tff(34173,plain,
% 9.69/7.27 (v152(constB60) <=> v150(constB59)),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34172, 7023, 373])).
% 9.69/7.27 tff(34174,plain,
% 9.69/7.27 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v153(VarCurr) | v155(VarCurr)))) | (v150(constB59) <=> (v153(constB59) | v155(constB59)))),
% 9.69/7.27 inference(quant_inst,[status(thm)],[])).
% 9.69/7.27 tff(34175,plain,
% 9.69/7.27 (v150(constB59) <=> (v153(constB59) | v155(constB59))),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34174, 387])).
% 9.69/7.27 tff(34176,plain,
% 9.69/7.27 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB59) <=> (~((~v130(constB59)) | (~v139(constB59)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB59) <=> (~((~v130(constB59)) | (~v139(constB59))))))),
% 9.69/7.27 inference(rewrite,[status(thm)],[])).
% 9.69/7.27 tff(34177,plain,
% 9.69/7.27 ((v155(constB59) <=> (~((~v139(constB59)) | (~v130(constB59))))) <=> (v155(constB59) <=> (~((~v130(constB59)) | (~v139(constB59)))))),
% 9.69/7.27 inference(rewrite,[status(thm)],[])).
% 9.69/7.27 tff(34178,plain,
% 9.69/7.27 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB59) <=> (~((~v139(constB59)) | (~v130(constB59)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB59) <=> (~((~v130(constB59)) | (~v139(constB59))))))),
% 9.69/7.27 inference(monotonicity,[status(thm)],[34177])).
% 9.69/7.27 tff(34179,plain,
% 9.69/7.27 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB59) <=> (~((~v139(constB59)) | (~v130(constB59)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB59) <=> (~((~v130(constB59)) | (~v139(constB59))))))),
% 9.69/7.27 inference(transitivity,[status(thm)],[34178, 34176])).
% 9.69/7.27 tff(34180,plain,
% 9.69/7.27 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB59) <=> (~((~v139(constB59)) | (~v130(constB59)))))),
% 9.69/7.27 inference(quant_inst,[status(thm)],[])).
% 9.69/7.27 tff(34181,plain,
% 9.69/7.27 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB59) <=> (~((~v130(constB59)) | (~v139(constB59)))))),
% 9.69/7.27 inference(modus_ponens,[status(thm)],[34180, 34179])).
% 9.69/7.27 tff(34182,plain,
% 9.69/7.27 (v155(constB59) <=> (~((~v130(constB59)) | (~v139(constB59))))),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34181, 447])).
% 9.69/7.27 tff(34183,plain,
% 9.69/7.27 ((~![VarCurr: $i] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB59)) <=> v140(constB59))),
% 9.69/7.27 inference(quant_inst,[status(thm)],[])).
% 9.69/7.27 tff(34184,plain,
% 9.69/7.27 ((~v139(constB59)) <=> v140(constB59)),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34183, 203])).
% 9.69/7.27 tff(34185,plain,
% 9.69/7.27 ((~![VarCurr: $i] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB59) <=> (v141(constB59) | v26(constB59)))),
% 9.69/7.27 inference(quant_inst,[status(thm)],[])).
% 9.69/7.27 tff(34186,plain,
% 9.69/7.27 (v140(constB59) <=> (v141(constB59) | v26(constB59))),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34185, 212])).
% 9.69/7.27 tff(34187,plain,
% 9.69/7.27 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB59) <=> (~((~v39(constB59)) | (~v9(constB59)))))),
% 9.69/7.27 inference(quant_inst,[status(thm)],[])).
% 9.69/7.27 tff(34188,plain,
% 9.69/7.27 (v141(constB59) <=> (~((~v39(constB59)) | (~v9(constB59))))),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34187, 130])).
% 9.69/7.27 tff(34189,plain,
% 9.69/7.27 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB59, constB60)) | (v13(constB60) <=> v9(constB59)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB59, constB60)) | (v13(constB60) <=> v9(constB59)))),
% 9.69/7.27 inference(rewrite,[status(thm)],[])).
% 9.69/7.27 tff(34190,plain,
% 9.69/7.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB59, constB60)) | (v13(constB60) <=> v9(constB59)))),
% 9.69/7.27 inference(quant_inst,[status(thm)],[])).
% 9.69/7.27 tff(34191,plain,
% 9.69/7.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB59, constB60)) | (v13(constB60) <=> v9(constB59))),
% 9.69/7.27 inference(modus_ponens,[status(thm)],[34190, 34189])).
% 9.69/7.27 tff(34192,plain,
% 9.69/7.27 (v13(constB60) <=> v9(constB59)),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34191, 7023, 226])).
% 9.69/7.27 tff(34193,plain,
% 9.69/7.27 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB60) <=> v13(constB60))),
% 9.69/7.27 inference(quant_inst,[status(thm)],[])).
% 9.69/7.27 tff(34194,plain,
% 9.69/7.27 (v6(constB60) <=> v13(constB60)),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34193, 240])).
% 9.69/7.27 tff(34195,plain,
% 9.69/7.27 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB60)) <=> v6(constB60))),
% 9.69/7.27 inference(quant_inst,[status(thm)],[])).
% 9.69/7.27 tff(34196,plain,
% 9.69/7.27 ((~v21(constB60)) <=> v6(constB60)),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34195, 249])).
% 9.69/7.27 tff(34197,plain,
% 9.69/7.27 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB60) <=> (v20(constB60) | v21(constB60)))),
% 9.69/7.27 inference(quant_inst,[status(thm)],[])).
% 9.69/7.27 tff(34198,plain,
% 9.69/7.27 (v19(constB60) <=> (v20(constB60) | v21(constB60))),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34197, 258])).
% 9.69/7.27 tff(34199,plain,
% 9.69/7.27 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB60) <=> (~((~v19(constB60)) | (~v22(constB60)))))),
% 9.69/7.27 inference(quant_inst,[status(thm)],[])).
% 9.69/7.27 tff(34200,plain,
% 9.69/7.27 (v18(constB60) <=> (~((~v19(constB60)) | (~v22(constB60))))),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34199, 270])).
% 9.69/7.27 tff(34201,plain,
% 9.69/7.27 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB60)) <=> v18(constB60))),
% 9.69/7.27 inference(quant_inst,[status(thm)],[])).
% 9.69/7.27 tff(34202,plain,
% 9.69/7.27 ((~v4(constB60)) <=> v18(constB60)),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34201, 279])).
% 9.69/7.27 tff(34203,plain,
% 9.69/7.27 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB60)),
% 9.69/7.27 inference(quant_inst,[status(thm)],[])).
% 9.69/7.27 tff(34204,plain,
% 9.69/7.27 (v4(constB60)),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34203, 288])).
% 9.69/7.27 tff(34205,plain,
% 9.69/7.27 ((~((~v4(constB60)) <=> v18(constB60))) | (~v4(constB60)) | (~v18(constB60))),
% 9.69/7.27 inference(tautology,[status(thm)],[])).
% 9.69/7.27 tff(34206,plain,
% 9.69/7.27 (~v18(constB60)),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34205, 34204, 34202])).
% 9.69/7.27 tff(34207,plain,
% 9.69/7.27 ((~(v18(constB60) <=> (~((~v19(constB60)) | (~v22(constB60)))))) | v18(constB60) | ((~v19(constB60)) | (~v22(constB60)))),
% 9.69/7.27 inference(tautology,[status(thm)],[])).
% 9.69/7.27 tff(34208,plain,
% 9.69/7.27 ((~v19(constB60)) | (~v22(constB60))),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34207, 34206, 34200])).
% 9.69/7.27 tff(34209,plain,
% 9.69/7.27 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB60) <=> (v1(constB60) | v6(constB60)))),
% 9.69/7.27 inference(quant_inst,[status(thm)],[])).
% 9.69/7.27 tff(34210,plain,
% 9.69/7.27 (v22(constB60) <=> (v1(constB60) | v6(constB60))),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34209, 301])).
% 9.69/7.27 tff(34211,plain,
% 9.69/7.27 ((v1(constB60) | v6(constB60)) | (~v1(constB60))),
% 9.69/7.27 inference(tautology,[status(thm)],[])).
% 9.69/7.27 tff(34212,plain,
% 9.69/7.27 (v1(constB60) | v6(constB60)),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34211, 7053])).
% 9.69/7.27 tff(34213,plain,
% 9.69/7.27 ((~(v22(constB60) <=> (v1(constB60) | v6(constB60)))) | v22(constB60) | (~(v1(constB60) | v6(constB60)))),
% 9.69/7.27 inference(tautology,[status(thm)],[])).
% 9.69/7.27 tff(34214,plain,
% 9.69/7.27 ((~(v22(constB60) <=> (v1(constB60) | v6(constB60)))) | v22(constB60)),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34213, 34212])).
% 9.69/7.27 tff(34215,plain,
% 9.69/7.27 (v22(constB60)),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34214, 34210])).
% 9.69/7.27 tff(34216,plain,
% 9.69/7.27 ((~((~v19(constB60)) | (~v22(constB60)))) | (~v19(constB60)) | (~v22(constB60))),
% 9.69/7.27 inference(tautology,[status(thm)],[])).
% 9.69/7.27 tff(34217,plain,
% 9.69/7.27 ((~((~v19(constB60)) | (~v22(constB60)))) | (~v19(constB60))),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34216, 34215])).
% 9.69/7.27 tff(34218,plain,
% 9.69/7.27 (~v19(constB60)),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34217, 34208])).
% 9.69/7.27 tff(34219,plain,
% 9.69/7.27 ((~(v19(constB60) <=> (v20(constB60) | v21(constB60)))) | v19(constB60) | (~(v20(constB60) | v21(constB60)))),
% 9.69/7.27 inference(tautology,[status(thm)],[])).
% 9.69/7.27 tff(34220,plain,
% 9.69/7.27 (~(v20(constB60) | v21(constB60))),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34219, 34218, 34198])).
% 9.69/7.27 tff(34221,plain,
% 9.69/7.27 ((v20(constB60) | v21(constB60)) | (~v21(constB60))),
% 9.69/7.27 inference(tautology,[status(thm)],[])).
% 9.69/7.27 tff(34222,plain,
% 9.69/7.27 (~v21(constB60)),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34221, 34220])).
% 9.69/7.27 tff(34223,plain,
% 9.69/7.27 ((~((~v21(constB60)) <=> v6(constB60))) | v21(constB60) | v6(constB60)),
% 9.69/7.27 inference(tautology,[status(thm)],[])).
% 9.69/7.27 tff(34224,plain,
% 9.69/7.27 (v6(constB60)),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34223, 34222, 34196])).
% 9.69/7.27 tff(34225,plain,
% 9.69/7.27 ((~(v6(constB60) <=> v13(constB60))) | (~v6(constB60)) | v13(constB60)),
% 9.69/7.27 inference(tautology,[status(thm)],[])).
% 9.69/7.27 tff(34226,plain,
% 9.69/7.27 (v13(constB60)),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34225, 34224, 34194])).
% 9.69/7.27 tff(34227,plain,
% 9.69/7.27 ((~(v13(constB60) <=> v9(constB59))) | (~v13(constB60)) | v9(constB59)),
% 9.69/7.27 inference(tautology,[status(thm)],[])).
% 9.69/7.27 tff(34228,plain,
% 9.69/7.27 (v9(constB59)),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34227, 34226, 34192])).
% 9.69/7.27 tff(34229,plain,
% 9.69/7.27 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB59)) <=> v1(constB59))),
% 9.69/7.27 inference(quant_inst,[status(thm)],[])).
% 9.69/7.27 tff(34230,plain,
% 9.69/7.27 ((~v39(constB59)) <=> v1(constB59)),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34229, 139])).
% 9.69/7.27 tff(34231,plain,
% 9.69/7.27 ((~((~v39(constB59)) <=> v1(constB59))) | v39(constB59) | v1(constB59)),
% 9.69/7.27 inference(tautology,[status(thm)],[])).
% 9.69/7.27 tff(34232,plain,
% 9.69/7.27 ((~((~v39(constB59)) <=> v1(constB59))) | v39(constB59)),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34231, 7045])).
% 9.69/7.27 tff(34233,plain,
% 9.69/7.27 (v39(constB59)),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34232, 34230])).
% 9.69/7.27 tff(34234,plain,
% 9.69/7.27 ((~((~v39(constB59)) | (~v9(constB59)))) | (~v39(constB59)) | (~v9(constB59))),
% 9.69/7.27 inference(tautology,[status(thm)],[])).
% 9.69/7.27 tff(34235,plain,
% 9.69/7.27 ((~((~v39(constB59)) | (~v9(constB59)))) | (~v9(constB59))),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34234, 34233])).
% 9.69/7.27 tff(34236,plain,
% 9.69/7.27 (~((~v39(constB59)) | (~v9(constB59)))),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34235, 34228])).
% 9.69/7.27 tff(34237,plain,
% 9.69/7.27 ((~(v141(constB59) <=> (~((~v39(constB59)) | (~v9(constB59)))))) | v141(constB59) | ((~v39(constB59)) | (~v9(constB59)))),
% 9.69/7.27 inference(tautology,[status(thm)],[])).
% 9.69/7.27 tff(34238,plain,
% 9.69/7.27 (v141(constB59)),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34237, 34236, 34188])).
% 9.69/7.27 tff(34239,plain,
% 9.69/7.27 ((v141(constB59) | v26(constB59)) | (~v141(constB59))),
% 9.69/7.27 inference(tautology,[status(thm)],[])).
% 9.69/7.27 tff(34240,plain,
% 9.69/7.27 (v141(constB59) | v26(constB59)),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34239, 34238])).
% 9.69/7.27 tff(34241,plain,
% 9.69/7.27 ((~(v140(constB59) <=> (v141(constB59) | v26(constB59)))) | v140(constB59) | (~(v141(constB59) | v26(constB59)))),
% 9.69/7.27 inference(tautology,[status(thm)],[])).
% 9.69/7.27 tff(34242,plain,
% 9.69/7.27 (v140(constB59)),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34241, 34240, 34186])).
% 9.69/7.27 tff(34243,plain,
% 9.69/7.27 ((~((~v139(constB59)) <=> v140(constB59))) | (~v139(constB59)) | (~v140(constB59))),
% 9.69/7.27 inference(tautology,[status(thm)],[])).
% 9.69/7.27 tff(34244,plain,
% 9.69/7.27 (~v139(constB59)),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34243, 34242, 34184])).
% 9.69/7.27 tff(34245,plain,
% 9.69/7.27 (((~v130(constB59)) | (~v139(constB59))) | v139(constB59)),
% 9.69/7.27 inference(tautology,[status(thm)],[])).
% 9.69/7.27 tff(34246,plain,
% 9.69/7.27 ((~v130(constB59)) | (~v139(constB59))),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34245, 34244])).
% 9.69/7.27 tff(34247,plain,
% 9.69/7.27 ((~(v155(constB59) <=> (~((~v130(constB59)) | (~v139(constB59)))))) | (~v155(constB59)) | (~((~v130(constB59)) | (~v139(constB59))))),
% 9.69/7.27 inference(tautology,[status(thm)],[])).
% 9.69/7.27 tff(34248,plain,
% 9.69/7.27 (~v155(constB59)),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34247, 34246, 34182])).
% 9.69/7.27 tff(34249,plain,
% 9.69/7.27 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB59) <=> (~((~v132(constB59)) | (~v154(constB59)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB59) <=> (~((~v132(constB59)) | (~v154(constB59))))))),
% 9.69/7.27 inference(rewrite,[status(thm)],[])).
% 9.69/7.27 tff(34250,plain,
% 9.69/7.27 ((v153(constB59) <=> (~((~v154(constB59)) | (~v132(constB59))))) <=> (v153(constB59) <=> (~((~v132(constB59)) | (~v154(constB59)))))),
% 9.69/7.27 inference(rewrite,[status(thm)],[])).
% 9.69/7.27 tff(34251,plain,
% 9.69/7.27 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB59) <=> (~((~v154(constB59)) | (~v132(constB59)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB59) <=> (~((~v132(constB59)) | (~v154(constB59))))))),
% 9.69/7.27 inference(monotonicity,[status(thm)],[34250])).
% 9.69/7.27 tff(34252,plain,
% 9.69/7.27 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB59) <=> (~((~v154(constB59)) | (~v132(constB59)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB59) <=> (~((~v132(constB59)) | (~v154(constB59))))))),
% 9.69/7.27 inference(transitivity,[status(thm)],[34251, 34249])).
% 9.69/7.27 tff(34253,plain,
% 9.69/7.27 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB59) <=> (~((~v154(constB59)) | (~v132(constB59)))))),
% 9.69/7.27 inference(quant_inst,[status(thm)],[])).
% 9.69/7.27 tff(34254,plain,
% 9.69/7.27 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB59) <=> (~((~v132(constB59)) | (~v154(constB59)))))),
% 9.69/7.27 inference(modus_ponens,[status(thm)],[34253, 34252])).
% 9.69/7.27 tff(34255,plain,
% 9.69/7.27 (v153(constB59) <=> (~((~v132(constB59)) | (~v154(constB59))))),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34254, 399])).
% 9.69/7.27 tff(34256,plain,
% 9.69/7.27 ((~![VarNext: $i] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB59) <=> v137(constB59))),
% 9.69/7.27 inference(quant_inst,[status(thm)],[])).
% 9.69/7.27 tff(34257,plain,
% 9.69/7.27 (v132(constB59) <=> v137(constB59)),
% 9.69/7.27 inference(unit_resolution,[status(thm)],[34256, 558])).
% 9.69/7.27 tff(34258,plain,
% 9.69/7.27 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB58, constB59)) | (v137(constB59) <=> v135(constB58)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB58, constB59)) | (v137(constB59) <=> v135(constB58)))),
% 9.69/7.27 inference(rewrite,[status(thm)],[])).
% 9.69/7.27 tff(34259,plain,
% 9.69/7.27 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB58, constB59)) | (v137(constB59) <=> v135(constB58)))),
% 9.69/7.28 inference(quant_inst,[status(thm)],[])).
% 9.69/7.28 tff(34260,plain,
% 9.69/7.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB58, constB59)) | (v137(constB59) <=> v135(constB58))),
% 9.69/7.28 inference(modus_ponens,[status(thm)],[34259, 34258])).
% 9.69/7.28 tff(34261,plain,
% 9.69/7.28 (v137(constB59) <=> v135(constB58)),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34260, 7080, 570])).
% 9.69/7.28 tff(34262,plain,
% 9.69/7.28 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB58) <=> (v138(constB58) | v142(constB58)))),
% 9.69/7.28 inference(quant_inst,[status(thm)],[])).
% 9.69/7.28 tff(34263,plain,
% 9.69/7.28 (v135(constB58) <=> (v138(constB58) | v142(constB58))),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34262, 584])).
% 9.69/7.28 tff(34264,plain,
% 9.69/7.28 ((~![VarCurr: $i] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB58) <=> (~((~v143(constB58)) | (~v144(constB58)))))),
% 9.69/7.28 inference(quant_inst,[status(thm)],[])).
% 9.69/7.28 tff(34265,plain,
% 9.69/7.28 (v142(constB58) <=> (~((~v143(constB58)) | (~v144(constB58))))),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34264, 596])).
% 9.69/7.28 tff(34266,plain,
% 9.69/7.28 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB58) <=> (~((~v141(constB58)) | (~v145(constB58)))))),
% 9.69/7.28 inference(quant_inst,[status(thm)],[])).
% 9.69/7.28 tff(34267,plain,
% 9.69/7.28 (v144(constB58) <=> (~((~v141(constB58)) | (~v145(constB58))))),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34266, 608])).
% 9.69/7.28 tff(34268,plain,
% 9.69/7.28 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB58) <=> (~((~v39(constB58)) | (~v9(constB58)))))),
% 9.69/7.28 inference(quant_inst,[status(thm)],[])).
% 9.69/7.28 tff(34269,plain,
% 9.69/7.28 (v141(constB58) <=> (~((~v39(constB58)) | (~v9(constB58))))),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34268, 130])).
% 9.69/7.28 tff(34270,plain,
% 9.69/7.28 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB58)) <=> v1(constB58))),
% 9.69/7.28 inference(quant_inst,[status(thm)],[])).
% 9.69/7.28 tff(34271,plain,
% 9.69/7.28 ((~v39(constB58)) <=> v1(constB58)),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34270, 139])).
% 9.69/7.28 tff(34272,plain,
% 9.69/7.28 ((~((~v39(constB58)) <=> v1(constB58))) | (~v39(constB58)) | (~v1(constB58))),
% 9.69/7.28 inference(tautology,[status(thm)],[])).
% 9.69/7.28 tff(34273,plain,
% 9.69/7.28 ((~((~v39(constB58)) <=> v1(constB58))) | (~v39(constB58))),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34272, 7142])).
% 9.69/7.28 tff(34274,plain,
% 9.69/7.28 (~v39(constB58)),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34273, 34271])).
% 9.69/7.28 tff(34275,plain,
% 9.69/7.28 (((~v39(constB58)) | (~v9(constB58))) | v39(constB58)),
% 9.69/7.28 inference(tautology,[status(thm)],[])).
% 9.69/7.28 tff(34276,plain,
% 9.69/7.28 ((~v39(constB58)) | (~v9(constB58))),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34275, 34274])).
% 9.69/7.28 tff(34277,plain,
% 9.69/7.28 ((~(v141(constB58) <=> (~((~v39(constB58)) | (~v9(constB58)))))) | (~v141(constB58)) | (~((~v39(constB58)) | (~v9(constB58))))),
% 9.69/7.28 inference(tautology,[status(thm)],[])).
% 9.69/7.28 tff(34278,plain,
% 9.69/7.28 ((~(v141(constB58) <=> (~((~v39(constB58)) | (~v9(constB58)))))) | (~v141(constB58))),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34277, 34276])).
% 9.69/7.28 tff(34279,plain,
% 9.69/7.28 (~v141(constB58)),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34278, 34269])).
% 9.69/7.28 tff(34280,plain,
% 9.69/7.28 (((~v141(constB58)) | (~v145(constB58))) | v141(constB58)),
% 9.69/7.28 inference(tautology,[status(thm)],[])).
% 9.69/7.28 tff(34281,plain,
% 9.69/7.28 ((~v141(constB58)) | (~v145(constB58))),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34280, 34279])).
% 9.69/7.28 tff(34282,plain,
% 9.69/7.28 ((~(v144(constB58) <=> (~((~v141(constB58)) | (~v145(constB58)))))) | (~v144(constB58)) | (~((~v141(constB58)) | (~v145(constB58))))),
% 9.69/7.28 inference(tautology,[status(thm)],[])).
% 9.69/7.28 tff(34283,plain,
% 9.69/7.28 ((~(v144(constB58) <=> (~((~v141(constB58)) | (~v145(constB58)))))) | (~v144(constB58))),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34282, 34281])).
% 9.69/7.28 tff(34284,plain,
% 9.69/7.28 (~v144(constB58)),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34283, 34267])).
% 9.69/7.28 tff(34285,plain,
% 9.69/7.28 (((~v143(constB58)) | (~v144(constB58))) | v144(constB58)),
% 9.69/7.28 inference(tautology,[status(thm)],[])).
% 9.69/7.28 tff(34286,plain,
% 9.69/7.28 ((~v143(constB58)) | (~v144(constB58))),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34285, 34284])).
% 9.69/7.28 tff(34287,plain,
% 9.69/7.28 ((~(v142(constB58) <=> (~((~v143(constB58)) | (~v144(constB58)))))) | (~v142(constB58)) | (~((~v143(constB58)) | (~v144(constB58))))),
% 9.69/7.28 inference(tautology,[status(thm)],[])).
% 9.69/7.28 tff(34288,plain,
% 9.69/7.28 (~v142(constB58)),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34287, 34286, 34265])).
% 9.69/7.28 tff(34289,plain,
% 9.69/7.28 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB58) <=> (~((~v132(constB58)) | (~v139(constB58)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB58) <=> (~((~v132(constB58)) | (~v139(constB58))))))),
% 9.69/7.28 inference(rewrite,[status(thm)],[])).
% 9.69/7.28 tff(34290,plain,
% 9.69/7.28 ((v138(constB58) <=> (~((~v139(constB58)) | (~v132(constB58))))) <=> (v138(constB58) <=> (~((~v132(constB58)) | (~v139(constB58)))))),
% 9.69/7.28 inference(rewrite,[status(thm)],[])).
% 9.69/7.28 tff(34291,plain,
% 9.69/7.28 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB58) <=> (~((~v139(constB58)) | (~v132(constB58)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB58) <=> (~((~v132(constB58)) | (~v139(constB58))))))),
% 9.69/7.28 inference(monotonicity,[status(thm)],[34290])).
% 9.69/7.28 tff(34292,plain,
% 9.69/7.28 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB58) <=> (~((~v139(constB58)) | (~v132(constB58)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB58) <=> (~((~v132(constB58)) | (~v139(constB58))))))),
% 9.69/7.28 inference(transitivity,[status(thm)],[34291, 34289])).
% 9.69/7.28 tff(34293,plain,
% 9.69/7.28 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB58) <=> (~((~v139(constB58)) | (~v132(constB58)))))),
% 9.69/7.28 inference(quant_inst,[status(thm)],[])).
% 9.69/7.28 tff(34294,plain,
% 9.69/7.28 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB58) <=> (~((~v132(constB58)) | (~v139(constB58)))))),
% 9.69/7.28 inference(modus_ponens,[status(thm)],[34293, 34292])).
% 9.69/7.28 tff(34295,plain,
% 9.69/7.28 (v138(constB58) <=> (~((~v132(constB58)) | (~v139(constB58))))),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34294, 644])).
% 9.69/7.28 tff(34296,plain,
% 9.69/7.28 ((~![VarNext: $i] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB58) <=> v137(constB58))),
% 9.69/7.28 inference(quant_inst,[status(thm)],[])).
% 9.69/7.28 tff(34297,plain,
% 9.69/7.28 (v132(constB58) <=> v137(constB58)),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34296, 558])).
% 9.69/7.28 tff(34298,plain,
% 9.69/7.28 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB57, constB58)) | (v137(constB58) <=> v135(constB57)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB57, constB58)) | (v137(constB58) <=> v135(constB57)))),
% 9.69/7.28 inference(rewrite,[status(thm)],[])).
% 9.69/7.28 tff(34299,plain,
% 9.69/7.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB57, constB58)) | (v137(constB58) <=> v135(constB57)))),
% 9.69/7.28 inference(quant_inst,[status(thm)],[])).
% 9.69/7.28 tff(34300,plain,
% 9.69/7.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB57, constB58)) | (v137(constB58) <=> v135(constB57))),
% 9.69/7.28 inference(modus_ponens,[status(thm)],[34299, 34298])).
% 9.69/7.28 tff(34301,plain,
% 9.69/7.28 (v137(constB58) <=> v135(constB57)),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34300, 7112, 570])).
% 9.69/7.28 tff(34302,plain,
% 9.69/7.28 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB57) <=> (v138(constB57) | v142(constB57)))),
% 9.69/7.28 inference(quant_inst,[status(thm)],[])).
% 9.69/7.28 tff(34303,plain,
% 9.69/7.28 (v135(constB57) <=> (v138(constB57) | v142(constB57))),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34302, 584])).
% 9.69/7.28 tff(34304,plain,
% 9.69/7.28 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB57) <=> (~((~v132(constB57)) | (~v139(constB57)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB57) <=> (~((~v132(constB57)) | (~v139(constB57))))))),
% 9.69/7.28 inference(rewrite,[status(thm)],[])).
% 9.69/7.28 tff(34305,plain,
% 9.69/7.28 ((v138(constB57) <=> (~((~v139(constB57)) | (~v132(constB57))))) <=> (v138(constB57) <=> (~((~v132(constB57)) | (~v139(constB57)))))),
% 9.69/7.28 inference(rewrite,[status(thm)],[])).
% 9.69/7.28 tff(34306,plain,
% 9.69/7.28 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB57) <=> (~((~v139(constB57)) | (~v132(constB57)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB57) <=> (~((~v132(constB57)) | (~v139(constB57))))))),
% 9.69/7.28 inference(monotonicity,[status(thm)],[34305])).
% 9.69/7.28 tff(34307,plain,
% 9.69/7.28 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB57) <=> (~((~v139(constB57)) | (~v132(constB57)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB57) <=> (~((~v132(constB57)) | (~v139(constB57))))))),
% 9.69/7.28 inference(transitivity,[status(thm)],[34306, 34304])).
% 9.69/7.28 tff(34308,plain,
% 9.69/7.28 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB57) <=> (~((~v139(constB57)) | (~v132(constB57)))))),
% 9.69/7.28 inference(quant_inst,[status(thm)],[])).
% 9.69/7.28 tff(34309,plain,
% 9.69/7.28 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB57) <=> (~((~v132(constB57)) | (~v139(constB57)))))),
% 9.69/7.28 inference(modus_ponens,[status(thm)],[34308, 34307])).
% 9.69/7.28 tff(34310,plain,
% 9.69/7.28 (v138(constB57) <=> (~((~v132(constB57)) | (~v139(constB57))))),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34309, 644])).
% 9.69/7.28 tff(34311,plain,
% 9.69/7.28 ((~![VarCurr: $i] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB57)) <=> v140(constB57))),
% 9.69/7.28 inference(quant_inst,[status(thm)],[])).
% 9.69/7.28 tff(34312,plain,
% 9.69/7.28 ((~v139(constB57)) <=> v140(constB57)),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34311, 203])).
% 9.69/7.28 tff(34313,plain,
% 9.69/7.28 ((~![VarCurr: $i] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB57) <=> (v141(constB57) | v26(constB57)))),
% 9.69/7.28 inference(quant_inst,[status(thm)],[])).
% 9.69/7.28 tff(34314,plain,
% 9.69/7.28 (v140(constB57) <=> (v141(constB57) | v26(constB57))),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34313, 212])).
% 9.69/7.28 tff(34315,plain,
% 9.69/7.28 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB57) <=> (~((~v39(constB57)) | (~v9(constB57)))))),
% 9.69/7.28 inference(quant_inst,[status(thm)],[])).
% 9.69/7.28 tff(34316,plain,
% 9.69/7.28 (v141(constB57) <=> (~((~v39(constB57)) | (~v9(constB57))))),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34315, 130])).
% 9.69/7.28 tff(34317,plain,
% 9.69/7.28 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB57, constB58)) | (v13(constB58) <=> v9(constB57)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB57, constB58)) | (v13(constB58) <=> v9(constB57)))),
% 9.69/7.28 inference(rewrite,[status(thm)],[])).
% 9.69/7.28 tff(34318,plain,
% 9.69/7.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB57, constB58)) | (v13(constB58) <=> v9(constB57)))),
% 9.69/7.28 inference(quant_inst,[status(thm)],[])).
% 9.69/7.28 tff(34319,plain,
% 9.69/7.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB57, constB58)) | (v13(constB58) <=> v9(constB57))),
% 9.69/7.28 inference(modus_ponens,[status(thm)],[34318, 34317])).
% 9.69/7.28 tff(34320,plain,
% 9.69/7.28 (v13(constB58) <=> v9(constB57)),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34319, 7112, 226])).
% 9.69/7.28 tff(34321,plain,
% 9.69/7.28 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB58) <=> v13(constB58))),
% 9.69/7.28 inference(quant_inst,[status(thm)],[])).
% 9.69/7.28 tff(34322,plain,
% 9.69/7.28 (v6(constB58) <=> v13(constB58)),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34321, 240])).
% 9.69/7.28 tff(34323,plain,
% 9.69/7.28 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB58)) <=> v6(constB58))),
% 9.69/7.28 inference(quant_inst,[status(thm)],[])).
% 9.69/7.28 tff(34324,plain,
% 9.69/7.28 ((~v21(constB58)) <=> v6(constB58)),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34323, 249])).
% 9.69/7.28 tff(34325,plain,
% 9.69/7.28 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB58) <=> (v20(constB58) | v21(constB58)))),
% 9.69/7.28 inference(quant_inst,[status(thm)],[])).
% 9.69/7.28 tff(34326,plain,
% 9.69/7.28 (v19(constB58) <=> (v20(constB58) | v21(constB58))),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34325, 258])).
% 9.69/7.28 tff(34327,plain,
% 9.69/7.28 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB58) <=> (~((~v19(constB58)) | (~v22(constB58)))))),
% 9.69/7.28 inference(quant_inst,[status(thm)],[])).
% 9.69/7.28 tff(34328,plain,
% 9.69/7.28 (v18(constB58) <=> (~((~v19(constB58)) | (~v22(constB58))))),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34327, 270])).
% 9.69/7.28 tff(34329,plain,
% 9.69/7.28 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB58)) <=> v18(constB58))),
% 9.69/7.28 inference(quant_inst,[status(thm)],[])).
% 9.69/7.28 tff(34330,plain,
% 9.69/7.28 ((~v4(constB58)) <=> v18(constB58)),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34329, 279])).
% 9.69/7.28 tff(34331,plain,
% 9.69/7.28 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB58)),
% 9.69/7.28 inference(quant_inst,[status(thm)],[])).
% 9.69/7.28 tff(34332,plain,
% 9.69/7.28 (v4(constB58)),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34331, 288])).
% 9.69/7.28 tff(34333,plain,
% 9.69/7.28 ((~((~v4(constB58)) <=> v18(constB58))) | (~v4(constB58)) | (~v18(constB58))),
% 9.69/7.28 inference(tautology,[status(thm)],[])).
% 9.69/7.28 tff(34334,plain,
% 9.69/7.28 (~v18(constB58)),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34333, 34332, 34330])).
% 9.69/7.28 tff(34335,plain,
% 9.69/7.28 ((~(v18(constB58) <=> (~((~v19(constB58)) | (~v22(constB58)))))) | v18(constB58) | ((~v19(constB58)) | (~v22(constB58)))),
% 9.69/7.28 inference(tautology,[status(thm)],[])).
% 9.69/7.28 tff(34336,plain,
% 9.69/7.28 ((~v19(constB58)) | (~v22(constB58))),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34335, 34334, 34328])).
% 9.69/7.28 tff(34337,plain,
% 9.69/7.28 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB58) <=> (v1(constB58) | v6(constB58)))),
% 9.69/7.28 inference(quant_inst,[status(thm)],[])).
% 9.69/7.28 tff(34338,plain,
% 9.69/7.28 (v22(constB58) <=> (v1(constB58) | v6(constB58))),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34337, 301])).
% 9.69/7.28 tff(34339,plain,
% 9.69/7.28 ((v1(constB58) | v6(constB58)) | (~v1(constB58))),
% 9.69/7.28 inference(tautology,[status(thm)],[])).
% 9.69/7.28 tff(34340,plain,
% 9.69/7.28 (v1(constB58) | v6(constB58)),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34339, 7142])).
% 9.69/7.28 tff(34341,plain,
% 9.69/7.28 ((~(v22(constB58) <=> (v1(constB58) | v6(constB58)))) | v22(constB58) | (~(v1(constB58) | v6(constB58)))),
% 9.69/7.28 inference(tautology,[status(thm)],[])).
% 9.69/7.28 tff(34342,plain,
% 9.69/7.28 ((~(v22(constB58) <=> (v1(constB58) | v6(constB58)))) | v22(constB58)),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34341, 34340])).
% 9.69/7.28 tff(34343,plain,
% 9.69/7.28 (v22(constB58)),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34342, 34338])).
% 9.69/7.28 tff(34344,plain,
% 9.69/7.28 ((~((~v19(constB58)) | (~v22(constB58)))) | (~v19(constB58)) | (~v22(constB58))),
% 9.69/7.28 inference(tautology,[status(thm)],[])).
% 9.69/7.28 tff(34345,plain,
% 9.69/7.28 ((~((~v19(constB58)) | (~v22(constB58)))) | (~v19(constB58))),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34344, 34343])).
% 9.69/7.28 tff(34346,plain,
% 9.69/7.28 (~v19(constB58)),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34345, 34336])).
% 9.69/7.28 tff(34347,plain,
% 9.69/7.28 ((~(v19(constB58) <=> (v20(constB58) | v21(constB58)))) | v19(constB58) | (~(v20(constB58) | v21(constB58)))),
% 9.69/7.28 inference(tautology,[status(thm)],[])).
% 9.69/7.28 tff(34348,plain,
% 9.69/7.28 (~(v20(constB58) | v21(constB58))),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34347, 34346, 34326])).
% 9.69/7.28 tff(34349,plain,
% 9.69/7.28 ((v20(constB58) | v21(constB58)) | (~v21(constB58))),
% 9.69/7.28 inference(tautology,[status(thm)],[])).
% 9.69/7.28 tff(34350,plain,
% 9.69/7.28 (~v21(constB58)),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34349, 34348])).
% 9.69/7.28 tff(34351,plain,
% 9.69/7.28 ((~((~v21(constB58)) <=> v6(constB58))) | v21(constB58) | v6(constB58)),
% 9.69/7.28 inference(tautology,[status(thm)],[])).
% 9.69/7.28 tff(34352,plain,
% 9.69/7.28 (v6(constB58)),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34351, 34350, 34324])).
% 9.69/7.28 tff(34353,plain,
% 9.69/7.28 ((~(v6(constB58) <=> v13(constB58))) | (~v6(constB58)) | v13(constB58)),
% 9.69/7.28 inference(tautology,[status(thm)],[])).
% 9.69/7.28 tff(34354,plain,
% 9.69/7.28 (v13(constB58)),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34353, 34352, 34322])).
% 9.69/7.28 tff(34355,plain,
% 9.69/7.28 ((~(v13(constB58) <=> v9(constB57))) | (~v13(constB58)) | v9(constB57)),
% 9.69/7.28 inference(tautology,[status(thm)],[])).
% 9.69/7.28 tff(34356,plain,
% 9.69/7.28 (v9(constB57)),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34355, 34354, 34320])).
% 9.69/7.28 tff(34357,plain,
% 9.69/7.28 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB57)) <=> v1(constB57))),
% 9.69/7.28 inference(quant_inst,[status(thm)],[])).
% 9.69/7.28 tff(34358,plain,
% 9.69/7.28 ((~v39(constB57)) <=> v1(constB57)),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34357, 139])).
% 9.69/7.28 tff(34359,plain,
% 9.69/7.28 ((~((~v39(constB57)) <=> v1(constB57))) | v39(constB57) | v1(constB57)),
% 9.69/7.28 inference(tautology,[status(thm)],[])).
% 9.69/7.28 tff(34360,plain,
% 9.69/7.28 ((~((~v39(constB57)) <=> v1(constB57))) | v39(constB57)),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34359, 7134])).
% 9.69/7.28 tff(34361,plain,
% 9.69/7.28 (v39(constB57)),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34360, 34358])).
% 9.69/7.28 tff(34362,plain,
% 9.69/7.28 ((~((~v39(constB57)) | (~v9(constB57)))) | (~v39(constB57)) | (~v9(constB57))),
% 9.69/7.28 inference(tautology,[status(thm)],[])).
% 9.69/7.28 tff(34363,plain,
% 9.69/7.28 ((~((~v39(constB57)) | (~v9(constB57)))) | (~v9(constB57))),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34362, 34361])).
% 9.69/7.28 tff(34364,plain,
% 9.69/7.28 (~((~v39(constB57)) | (~v9(constB57)))),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34363, 34356])).
% 9.69/7.28 tff(34365,plain,
% 9.69/7.28 ((~(v141(constB57) <=> (~((~v39(constB57)) | (~v9(constB57)))))) | v141(constB57) | ((~v39(constB57)) | (~v9(constB57)))),
% 9.69/7.28 inference(tautology,[status(thm)],[])).
% 9.69/7.28 tff(34366,plain,
% 9.69/7.28 (v141(constB57)),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34365, 34364, 34316])).
% 9.69/7.28 tff(34367,plain,
% 9.69/7.28 ((v141(constB57) | v26(constB57)) | (~v141(constB57))),
% 9.69/7.28 inference(tautology,[status(thm)],[])).
% 9.69/7.28 tff(34368,plain,
% 9.69/7.28 (v141(constB57) | v26(constB57)),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34367, 34366])).
% 9.69/7.28 tff(34369,plain,
% 9.69/7.28 ((~(v140(constB57) <=> (v141(constB57) | v26(constB57)))) | v140(constB57) | (~(v141(constB57) | v26(constB57)))),
% 9.69/7.28 inference(tautology,[status(thm)],[])).
% 9.69/7.28 tff(34370,plain,
% 9.69/7.28 (v140(constB57)),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34369, 34368, 34314])).
% 9.69/7.28 tff(34371,plain,
% 9.69/7.28 ((~((~v139(constB57)) <=> v140(constB57))) | (~v139(constB57)) | (~v140(constB57))),
% 9.69/7.28 inference(tautology,[status(thm)],[])).
% 9.69/7.28 tff(34372,plain,
% 9.69/7.28 (~v139(constB57)),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34371, 34370, 34312])).
% 9.69/7.28 tff(34373,plain,
% 9.69/7.28 (((~v132(constB57)) | (~v139(constB57))) | v139(constB57)),
% 9.69/7.28 inference(tautology,[status(thm)],[])).
% 9.69/7.28 tff(34374,plain,
% 9.69/7.28 ((~v132(constB57)) | (~v139(constB57))),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34373, 34372])).
% 9.69/7.28 tff(34375,plain,
% 9.69/7.28 ((~(v138(constB57) <=> (~((~v132(constB57)) | (~v139(constB57)))))) | (~v138(constB57)) | (~((~v132(constB57)) | (~v139(constB57))))),
% 9.69/7.28 inference(tautology,[status(thm)],[])).
% 9.69/7.28 tff(34376,plain,
% 9.69/7.28 (~v138(constB57)),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34375, 34374, 34310])).
% 9.69/7.28 tff(34377,plain,
% 9.69/7.28 ((~![VarCurr: $i] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB57) <=> (~((~v143(constB57)) | (~v144(constB57)))))),
% 9.69/7.28 inference(quant_inst,[status(thm)],[])).
% 9.69/7.28 tff(34378,plain,
% 9.69/7.28 (v142(constB57) <=> (~((~v143(constB57)) | (~v144(constB57))))),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34377, 596])).
% 9.69/7.28 tff(34379,plain,
% 9.69/7.28 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB57) <=> (~((~v141(constB57)) | (~v145(constB57)))))),
% 9.69/7.28 inference(quant_inst,[status(thm)],[])).
% 9.69/7.28 tff(34380,plain,
% 9.69/7.28 (v144(constB57) <=> (~((~v141(constB57)) | (~v145(constB57))))),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34379, 608])).
% 9.69/7.28 tff(34381,plain,
% 9.69/7.28 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB57) <=> (~(v84(constB57, bitIndex2) | v84(constB57, bitIndex1) | (~v84(constB57, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB57) <=> (~(v84(constB57, bitIndex2) | v84(constB57, bitIndex1) | (~v84(constB57, bitIndex0))))))),
% 9.69/7.28 inference(rewrite,[status(thm)],[])).
% 9.69/7.28 tff(34382,plain,
% 9.69/7.28 ((v145(constB57) <=> (~(v84(constB57, bitIndex1) | v84(constB57, bitIndex2) | (~v84(constB57, bitIndex0))))) <=> (v145(constB57) <=> (~(v84(constB57, bitIndex2) | v84(constB57, bitIndex1) | (~v84(constB57, bitIndex0)))))),
% 9.69/7.28 inference(rewrite,[status(thm)],[])).
% 9.69/7.28 tff(34383,plain,
% 9.69/7.28 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB57) <=> (~(v84(constB57, bitIndex1) | v84(constB57, bitIndex2) | (~v84(constB57, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB57) <=> (~(v84(constB57, bitIndex2) | v84(constB57, bitIndex1) | (~v84(constB57, bitIndex0))))))),
% 9.69/7.28 inference(monotonicity,[status(thm)],[34382])).
% 9.69/7.28 tff(34384,plain,
% 9.69/7.28 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB57) <=> (~(v84(constB57, bitIndex1) | v84(constB57, bitIndex2) | (~v84(constB57, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB57) <=> (~(v84(constB57, bitIndex2) | v84(constB57, bitIndex1) | (~v84(constB57, bitIndex0))))))),
% 9.69/7.28 inference(transitivity,[status(thm)],[34383, 34381])).
% 9.69/7.28 tff(34385,plain,
% 9.69/7.28 ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB57) <=> (~(v84(constB57, bitIndex1) | v84(constB57, bitIndex2) | (~v84(constB57, bitIndex0)))))),
% 9.69/7.28 inference(quant_inst,[status(thm)],[])).
% 9.69/7.28 tff(34386,plain,
% 9.69/7.28 ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB57) <=> (~(v84(constB57, bitIndex2) | v84(constB57, bitIndex1) | (~v84(constB57, bitIndex0)))))),
% 9.69/7.28 inference(modus_ponens,[status(thm)],[34385, 34384])).
% 9.69/7.28 tff(34387,plain,
% 9.69/7.28 (v145(constB57) <=> (~(v84(constB57, bitIndex2) | v84(constB57, bitIndex1) | (~v84(constB57, bitIndex0))))),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34386, 755])).
% 9.69/7.28 tff(34388,plain,
% 9.69/7.28 ((v84(constB57, bitIndex2) | v84(constB57, bitIndex1) | (~v84(constB57, bitIndex0))) | (~v84(constB57, bitIndex2))),
% 9.69/7.28 inference(tautology,[status(thm)],[])).
% 9.69/7.28 tff(34389,plain,
% 9.69/7.28 (v84(constB57, bitIndex2) | v84(constB57, bitIndex1) | (~v84(constB57, bitIndex0))),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34388, 14478])).
% 9.69/7.28 tff(34390,plain,
% 9.69/7.28 ((~(v145(constB57) <=> (~(v84(constB57, bitIndex2) | v84(constB57, bitIndex1) | (~v84(constB57, bitIndex0)))))) | (~v145(constB57)) | (~(v84(constB57, bitIndex2) | v84(constB57, bitIndex1) | (~v84(constB57, bitIndex0))))),
% 9.69/7.28 inference(tautology,[status(thm)],[])).
% 9.69/7.28 tff(34391,plain,
% 9.69/7.28 (~v145(constB57)),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34390, 34389, 34387])).
% 9.69/7.28 tff(34392,plain,
% 9.69/7.28 (((~v141(constB57)) | (~v145(constB57))) | v145(constB57)),
% 9.69/7.28 inference(tautology,[status(thm)],[])).
% 9.69/7.28 tff(34393,plain,
% 9.69/7.28 ((~v141(constB57)) | (~v145(constB57))),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34392, 34391])).
% 9.69/7.28 tff(34394,plain,
% 9.69/7.28 ((~(v144(constB57) <=> (~((~v141(constB57)) | (~v145(constB57)))))) | (~v144(constB57)) | (~((~v141(constB57)) | (~v145(constB57))))),
% 9.69/7.28 inference(tautology,[status(thm)],[])).
% 9.69/7.28 tff(34395,plain,
% 9.69/7.28 (~v144(constB57)),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34394, 34393, 34380])).
% 9.69/7.28 tff(34396,plain,
% 9.69/7.28 (((~v143(constB57)) | (~v144(constB57))) | v144(constB57)),
% 9.69/7.28 inference(tautology,[status(thm)],[])).
% 9.69/7.28 tff(34397,plain,
% 9.69/7.28 ((~v143(constB57)) | (~v144(constB57))),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34396, 34395])).
% 9.69/7.28 tff(34398,plain,
% 9.69/7.28 ((~(v142(constB57) <=> (~((~v143(constB57)) | (~v144(constB57)))))) | (~v142(constB57)) | (~((~v143(constB57)) | (~v144(constB57))))),
% 9.69/7.28 inference(tautology,[status(thm)],[])).
% 9.69/7.28 tff(34399,plain,
% 9.69/7.28 (~v142(constB57)),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34398, 34397, 34378])).
% 9.69/7.28 tff(34400,plain,
% 9.69/7.28 ((~(v138(constB57) | v142(constB57))) | v138(constB57) | v142(constB57)),
% 9.69/7.28 inference(tautology,[status(thm)],[])).
% 9.69/7.28 tff(34401,plain,
% 9.69/7.28 (~(v138(constB57) | v142(constB57))),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34400, 34399, 34376])).
% 9.69/7.28 tff(34402,plain,
% 9.69/7.28 ((~(v135(constB57) <=> (v138(constB57) | v142(constB57)))) | (~v135(constB57)) | (v138(constB57) | v142(constB57))),
% 9.69/7.28 inference(tautology,[status(thm)],[])).
% 9.69/7.28 tff(34403,plain,
% 9.69/7.28 (~v135(constB57)),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34402, 34401, 34303])).
% 9.69/7.28 tff(34404,plain,
% 9.69/7.28 ((~(v137(constB58) <=> v135(constB57))) | (~v137(constB58)) | v135(constB57)),
% 9.69/7.28 inference(tautology,[status(thm)],[])).
% 9.69/7.28 tff(34405,plain,
% 9.69/7.28 (~v137(constB58)),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34404, 34403, 34301])).
% 9.69/7.28 tff(34406,plain,
% 9.69/7.28 ((~(v132(constB58) <=> v137(constB58))) | (~v132(constB58)) | v137(constB58)),
% 9.69/7.28 inference(tautology,[status(thm)],[])).
% 9.69/7.28 tff(34407,plain,
% 9.69/7.28 (~v132(constB58)),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34406, 34405, 34297])).
% 9.69/7.28 tff(34408,plain,
% 9.69/7.28 (((~v132(constB58)) | (~v139(constB58))) | v132(constB58)),
% 9.69/7.28 inference(tautology,[status(thm)],[])).
% 9.69/7.28 tff(34409,plain,
% 9.69/7.28 ((~v132(constB58)) | (~v139(constB58))),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34408, 34407])).
% 9.69/7.28 tff(34410,plain,
% 9.69/7.28 ((~(v138(constB58) <=> (~((~v132(constB58)) | (~v139(constB58)))))) | (~v138(constB58)) | (~((~v132(constB58)) | (~v139(constB58))))),
% 9.69/7.28 inference(tautology,[status(thm)],[])).
% 9.69/7.28 tff(34411,plain,
% 9.69/7.28 (~v138(constB58)),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34410, 34409, 34295])).
% 9.69/7.28 tff(34412,plain,
% 9.69/7.28 ((~(v138(constB58) | v142(constB58))) | v138(constB58) | v142(constB58)),
% 9.69/7.28 inference(tautology,[status(thm)],[])).
% 9.69/7.28 tff(34413,plain,
% 9.69/7.28 (~(v138(constB58) | v142(constB58))),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34412, 34411, 34288])).
% 9.69/7.28 tff(34414,plain,
% 9.69/7.28 ((~(v135(constB58) <=> (v138(constB58) | v142(constB58)))) | (~v135(constB58)) | (v138(constB58) | v142(constB58))),
% 9.69/7.28 inference(tautology,[status(thm)],[])).
% 9.69/7.28 tff(34415,plain,
% 9.69/7.28 (~v135(constB58)),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34414, 34413, 34263])).
% 9.69/7.28 tff(34416,plain,
% 9.69/7.28 ((~(v137(constB59) <=> v135(constB58))) | (~v137(constB59)) | v135(constB58)),
% 9.69/7.28 inference(tautology,[status(thm)],[])).
% 9.69/7.28 tff(34417,plain,
% 9.69/7.28 (~v137(constB59)),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34416, 34415, 34261])).
% 9.69/7.28 tff(34418,plain,
% 9.69/7.28 ((~(v132(constB59) <=> v137(constB59))) | (~v132(constB59)) | v137(constB59)),
% 9.69/7.28 inference(tautology,[status(thm)],[])).
% 9.69/7.28 tff(34419,plain,
% 9.69/7.28 (~v132(constB59)),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34418, 34417, 34257])).
% 9.69/7.28 tff(34420,plain,
% 9.69/7.28 (((~v132(constB59)) | (~v154(constB59))) | v132(constB59)),
% 9.69/7.28 inference(tautology,[status(thm)],[])).
% 9.69/7.28 tff(34421,plain,
% 9.69/7.28 ((~v132(constB59)) | (~v154(constB59))),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34420, 34419])).
% 9.69/7.28 tff(34422,plain,
% 9.69/7.28 ((~(v153(constB59) <=> (~((~v132(constB59)) | (~v154(constB59)))))) | (~v153(constB59)) | (~((~v132(constB59)) | (~v154(constB59))))),
% 9.69/7.28 inference(tautology,[status(thm)],[])).
% 9.69/7.28 tff(34423,plain,
% 9.69/7.28 (~v153(constB59)),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34422, 34421, 34255])).
% 9.69/7.28 tff(34424,plain,
% 9.69/7.28 ((~(v153(constB59) | v155(constB59))) | v153(constB59) | v155(constB59)),
% 9.69/7.28 inference(tautology,[status(thm)],[])).
% 9.69/7.28 tff(34425,plain,
% 9.69/7.28 (~(v153(constB59) | v155(constB59))),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34424, 34423, 34248])).
% 9.69/7.28 tff(34426,plain,
% 9.69/7.28 ((~(v150(constB59) <=> (v153(constB59) | v155(constB59)))) | (~v150(constB59)) | (v153(constB59) | v155(constB59))),
% 9.69/7.28 inference(tautology,[status(thm)],[])).
% 9.69/7.28 tff(34427,plain,
% 9.69/7.28 (~v150(constB59)),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34426, 34425, 34175])).
% 9.69/7.28 tff(34428,plain,
% 9.69/7.28 ((~(v152(constB60) <=> v150(constB59))) | (~v152(constB60)) | v150(constB59)),
% 9.69/7.28 inference(tautology,[status(thm)],[])).
% 9.69/7.28 tff(34429,plain,
% 9.69/7.28 (~v152(constB60)),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34428, 34427, 34173])).
% 9.69/7.28 tff(34430,plain,
% 9.69/7.28 ((~(v130(constB60) <=> v152(constB60))) | (~v130(constB60)) | v152(constB60)),
% 9.69/7.28 inference(tautology,[status(thm)],[])).
% 9.69/7.28 tff(34431,plain,
% 9.69/7.28 (~v130(constB60)),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34430, 34429, 34169])).
% 9.69/7.28 tff(34432,plain,
% 9.69/7.28 (((~v130(constB60)) | (~v139(constB60))) | v130(constB60)),
% 9.69/7.28 inference(tautology,[status(thm)],[])).
% 9.69/7.28 tff(34433,plain,
% 9.69/7.28 ((~v130(constB60)) | (~v139(constB60))),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34432, 34431])).
% 9.69/7.28 tff(34434,plain,
% 9.69/7.28 ((~(v155(constB60) <=> (~((~v130(constB60)) | (~v139(constB60)))))) | (~v155(constB60)) | (~((~v130(constB60)) | (~v139(constB60))))),
% 9.69/7.28 inference(tautology,[status(thm)],[])).
% 9.69/7.28 tff(34435,plain,
% 9.69/7.28 (~v155(constB60)),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34434, 34433, 34167])).
% 9.69/7.28 tff(34436,plain,
% 9.69/7.28 ((~(v153(constB60) | v155(constB60))) | v153(constB60) | v155(constB60)),
% 9.69/7.28 inference(tautology,[status(thm)],[])).
% 9.69/7.28 tff(34437,plain,
% 9.69/7.28 (~(v153(constB60) | v155(constB60))),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34436, 34435, 34160])).
% 9.69/7.28 tff(34438,plain,
% 9.69/7.28 ((~(v150(constB60) <=> (v153(constB60) | v155(constB60)))) | (~v150(constB60)) | (v153(constB60) | v155(constB60))),
% 9.69/7.28 inference(tautology,[status(thm)],[])).
% 9.69/7.28 tff(34439,plain,
% 9.69/7.28 (~v150(constB60)),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34438, 34437, 34125])).
% 9.69/7.28 tff(34440,plain,
% 9.69/7.28 ((~(v152(constB61) <=> v150(constB60))) | (~v152(constB61)) | v150(constB60)),
% 9.69/7.28 inference(tautology,[status(thm)],[])).
% 9.69/7.28 tff(34441,plain,
% 9.69/7.28 (~v152(constB61)),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34440, 34439, 34123])).
% 9.69/7.28 tff(34442,plain,
% 9.69/7.28 ((~(v130(constB61) <=> v152(constB61))) | (~v130(constB61)) | v152(constB61)),
% 9.69/7.28 inference(tautology,[status(thm)],[])).
% 9.69/7.28 tff(34443,plain,
% 9.69/7.28 (~v130(constB61)),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34442, 34441, 34119])).
% 9.69/7.28 tff(34444,plain,
% 9.69/7.28 (((~v130(constB61)) | (~v154(constB61))) | v130(constB61)),
% 9.69/7.28 inference(tautology,[status(thm)],[])).
% 9.69/7.28 tff(34445,plain,
% 9.69/7.28 ((~v130(constB61)) | (~v154(constB61))),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34444, 34443])).
% 9.69/7.28 tff(34446,plain,
% 9.69/7.28 ((~(v164(constB61) <=> (~((~v130(constB61)) | (~v154(constB61)))))) | (~v164(constB61)) | (~((~v130(constB61)) | (~v154(constB61))))),
% 9.69/7.28 inference(tautology,[status(thm)],[])).
% 9.69/7.28 tff(34447,plain,
% 9.69/7.28 (~v164(constB61)),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34446, 34445, 34117])).
% 9.69/7.28 tff(34448,plain,
% 9.69/7.28 ((~(v163(constB61) | v164(constB61))) | v163(constB61) | v164(constB61)),
% 9.69/7.28 inference(tautology,[status(thm)],[])).
% 9.69/7.28 tff(34449,plain,
% 9.69/7.28 (~(v163(constB61) | v164(constB61))),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34448, 34447, 34110])).
% 9.69/7.28 tff(34450,plain,
% 9.69/7.28 ((~(v160(constB61) <=> (v163(constB61) | v164(constB61)))) | (~v160(constB61)) | (v163(constB61) | v164(constB61))),
% 9.69/7.28 inference(tautology,[status(thm)],[])).
% 9.69/7.28 tff(34451,plain,
% 9.69/7.28 (~v160(constB61)),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34450, 34449, 34037])).
% 9.69/7.28 tff(34452,plain,
% 9.69/7.28 ((~(v162(constB62) <=> v160(constB61))) | (~v162(constB62)) | v160(constB61)),
% 9.69/7.28 inference(tautology,[status(thm)],[])).
% 9.69/7.28 tff(34453,plain,
% 9.69/7.28 (~v162(constB62)),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34452, 34451, 34035])).
% 9.69/7.28 tff(34454,plain,
% 9.69/7.28 ((~(v128(constB62) <=> v162(constB62))) | (~v128(constB62)) | v162(constB62)),
% 9.69/7.28 inference(tautology,[status(thm)],[])).
% 9.69/7.28 tff(34455,plain,
% 9.69/7.28 (~v128(constB62)),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34454, 34453, 34031])).
% 9.69/7.28 tff(34456,plain,
% 9.69/7.28 (((~v128(constB62)) | (~v139(constB62))) | v128(constB62)),
% 9.69/7.28 inference(tautology,[status(thm)],[])).
% 9.69/7.28 tff(34457,plain,
% 9.69/7.28 ((~v128(constB62)) | (~v139(constB62))),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34456, 34455])).
% 9.69/7.28 tff(34458,plain,
% 9.69/7.28 ((~(v163(constB62) <=> (~((~v128(constB62)) | (~v139(constB62)))))) | (~v163(constB62)) | (~((~v128(constB62)) | (~v139(constB62))))),
% 9.69/7.28 inference(tautology,[status(thm)],[])).
% 9.69/7.28 tff(34459,plain,
% 9.69/7.28 (~v163(constB62)),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34458, 34457, 34029])).
% 9.69/7.28 tff(34460,plain,
% 9.69/7.28 ((~(v163(constB62) | v164(constB62))) | v163(constB62) | v164(constB62)),
% 9.69/7.28 inference(tautology,[status(thm)],[])).
% 9.69/7.28 tff(34461,plain,
% 9.69/7.28 (~(v163(constB62) | v164(constB62))),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34460, 34459, 34022])).
% 9.69/7.28 tff(34462,plain,
% 9.69/7.28 ((~(v160(constB62) <=> (v163(constB62) | v164(constB62)))) | (~v160(constB62)) | (v163(constB62) | v164(constB62))),
% 9.69/7.28 inference(tautology,[status(thm)],[])).
% 9.69/7.28 tff(34463,plain,
% 9.69/7.28 (~v160(constB62)),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34462, 34461, 33987])).
% 9.69/7.28 tff(34464,plain,
% 9.69/7.28 ((~(v162(constB63) <=> v160(constB62))) | (~v162(constB63)) | v160(constB62)),
% 9.69/7.28 inference(tautology,[status(thm)],[])).
% 9.69/7.28 tff(34465,plain,
% 9.69/7.28 (~v162(constB63)),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34464, 34463, 33985])).
% 9.69/7.28 tff(34466,plain,
% 9.69/7.28 ($false),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34465, 33981])).
% 9.69/7.28 tff(34467,plain,(~(constB63 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.69/7.28 tff(34468,assumption,(constB155 = VarCurr!0), introduced(assumption)).
% 9.69/7.28 tff(34469,plain,
% 9.69/7.28 (v162(constB155) <=> v162(VarCurr!0)),
% 9.69/7.28 inference(monotonicity,[status(thm)],[34468])).
% 9.69/7.28 tff(34470,plain,
% 9.69/7.28 (v162(VarCurr!0) <=> v162(constB155)),
% 9.69/7.28 inference(symmetry,[status(thm)],[34469])).
% 9.69/7.28 tff(34471,plain,
% 9.69/7.28 (v162(constB155)),
% 9.69/7.28 inference(modus_ponens,[status(thm)],[59, 34470])).
% 9.69/7.28 tff(34472,plain,
% 9.69/7.28 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB154, constB155)) | (v162(constB155) <=> v160(constB154)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB154, constB155)) | (v162(constB155) <=> v160(constB154)))),
% 9.69/7.28 inference(rewrite,[status(thm)],[])).
% 9.69/7.28 tff(34473,plain,
% 9.69/7.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB154, constB155)) | (v162(constB155) <=> v160(constB154)))),
% 9.69/7.28 inference(quant_inst,[status(thm)],[])).
% 9.69/7.28 tff(34474,plain,
% 9.69/7.28 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB154, constB155)) | (v162(constB155) <=> v160(constB154))),
% 9.69/7.28 inference(modus_ponens,[status(thm)],[34473, 34472])).
% 9.69/7.28 tff(34475,plain,
% 9.69/7.28 (v162(constB155) <=> v160(constB154)),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34474, 2704, 70])).
% 9.69/7.28 tff(34476,plain,
% 9.69/7.28 ((~![VarCurr: $i] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB154) <=> (v163(constB154) | v164(constB154)))),
% 9.69/7.28 inference(quant_inst,[status(thm)],[])).
% 9.69/7.28 tff(34477,plain,
% 9.69/7.28 (v160(constB154) <=> (v163(constB154) | v164(constB154))),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34476, 84])).
% 9.69/7.28 tff(34478,plain,
% 9.69/7.28 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB154) <=> (~((~v130(constB154)) | (~v154(constB154)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB154) <=> (~((~v130(constB154)) | (~v154(constB154))))))),
% 9.69/7.28 inference(rewrite,[status(thm)],[])).
% 9.69/7.28 tff(34479,plain,
% 9.69/7.28 ((v164(constB154) <=> (~((~v154(constB154)) | (~v130(constB154))))) <=> (v164(constB154) <=> (~((~v130(constB154)) | (~v154(constB154)))))),
% 9.69/7.28 inference(rewrite,[status(thm)],[])).
% 9.69/7.28 tff(34480,plain,
% 9.69/7.28 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB154) <=> (~((~v154(constB154)) | (~v130(constB154)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB154) <=> (~((~v130(constB154)) | (~v154(constB154))))))),
% 9.69/7.28 inference(monotonicity,[status(thm)],[34479])).
% 9.69/7.28 tff(34481,plain,
% 9.69/7.28 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB154) <=> (~((~v154(constB154)) | (~v130(constB154)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB154) <=> (~((~v130(constB154)) | (~v154(constB154))))))),
% 9.69/7.28 inference(transitivity,[status(thm)],[34480, 34478])).
% 9.69/7.28 tff(34482,plain,
% 9.69/7.28 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB154) <=> (~((~v154(constB154)) | (~v130(constB154)))))),
% 9.69/7.28 inference(quant_inst,[status(thm)],[])).
% 9.69/7.28 tff(34483,plain,
% 9.69/7.28 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB154) <=> (~((~v130(constB154)) | (~v154(constB154)))))),
% 9.69/7.28 inference(modus_ponens,[status(thm)],[34482, 34481])).
% 9.69/7.28 tff(34484,plain,
% 9.69/7.28 (v164(constB154) <=> (~((~v130(constB154)) | (~v154(constB154))))),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34483, 96])).
% 9.69/7.28 tff(34485,plain,
% 9.69/7.28 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB154) <=> (~((~v141(constB154)) | (~v143(constB154)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB154) <=> (~((~v141(constB154)) | (~v143(constB154))))))),
% 9.69/7.28 inference(rewrite,[status(thm)],[])).
% 9.69/7.28 tff(34486,plain,
% 9.69/7.28 ((v154(constB154) <=> (~((~v143(constB154)) | (~v141(constB154))))) <=> (v154(constB154) <=> (~((~v141(constB154)) | (~v143(constB154)))))),
% 9.69/7.28 inference(rewrite,[status(thm)],[])).
% 9.69/7.28 tff(34487,plain,
% 9.69/7.28 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB154) <=> (~((~v143(constB154)) | (~v141(constB154)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB154) <=> (~((~v141(constB154)) | (~v143(constB154))))))),
% 9.69/7.28 inference(monotonicity,[status(thm)],[34486])).
% 9.69/7.28 tff(34488,plain,
% 9.69/7.28 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB154) <=> (~((~v143(constB154)) | (~v141(constB154)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB154) <=> (~((~v141(constB154)) | (~v143(constB154))))))),
% 9.69/7.28 inference(transitivity,[status(thm)],[34487, 34485])).
% 9.69/7.28 tff(34489,plain,
% 9.69/7.28 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB154) <=> (~((~v143(constB154)) | (~v141(constB154)))))),
% 9.69/7.28 inference(quant_inst,[status(thm)],[])).
% 9.69/7.28 tff(34490,plain,
% 9.69/7.28 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB154) <=> (~((~v141(constB154)) | (~v143(constB154)))))),
% 9.69/7.28 inference(modus_ponens,[status(thm)],[34489, 34488])).
% 9.69/7.28 tff(34491,plain,
% 9.69/7.28 (v154(constB154) <=> (~((~v141(constB154)) | (~v143(constB154))))),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34490, 113])).
% 9.69/7.28 tff(34492,plain,
% 9.69/7.28 (((~v141(constB154)) | (~v143(constB154))) | v141(constB154)),
% 9.69/7.28 inference(tautology,[status(thm)],[])).
% 9.69/7.28 tff(34493,plain,
% 9.69/7.28 ((~v141(constB154)) | (~v143(constB154))),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34492, 27904])).
% 9.69/7.28 tff(34494,plain,
% 9.69/7.28 ((~(v154(constB154) <=> (~((~v141(constB154)) | (~v143(constB154)))))) | (~v154(constB154)) | (~((~v141(constB154)) | (~v143(constB154))))),
% 9.69/7.28 inference(tautology,[status(thm)],[])).
% 9.69/7.28 tff(34495,plain,
% 9.69/7.28 ((~(v154(constB154) <=> (~((~v141(constB154)) | (~v143(constB154)))))) | (~v154(constB154))),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34494, 34493])).
% 9.69/7.28 tff(34496,plain,
% 9.69/7.28 (~v154(constB154)),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34495, 34491])).
% 9.69/7.28 tff(34497,plain,
% 9.69/7.28 (((~v130(constB154)) | (~v154(constB154))) | v154(constB154)),
% 9.69/7.28 inference(tautology,[status(thm)],[])).
% 9.69/7.28 tff(34498,plain,
% 9.69/7.28 ((~v130(constB154)) | (~v154(constB154))),
% 9.69/7.28 inference(unit_resolution,[status(thm)],[34497, 34496])).
% 9.69/7.28 tff(34499,plain,
% 9.69/7.28 ((~(v164(constB154) <=> (~((~v130(constB154)) | (~v154(constB154)))))) | (~v164(constB154)) | (~((~v130(constB154)) | (~v154(constB154))))),
% 9.69/7.29 inference(tautology,[status(thm)],[])).
% 9.69/7.29 tff(34500,plain,
% 9.69/7.29 (~v164(constB154)),
% 9.69/7.29 inference(unit_resolution,[status(thm)],[34499, 34498, 34484])).
% 9.69/7.29 tff(34501,plain,
% 9.69/7.29 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB154) <=> (~((~v128(constB154)) | (~v139(constB154)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB154) <=> (~((~v128(constB154)) | (~v139(constB154))))))),
% 9.69/7.29 inference(rewrite,[status(thm)],[])).
% 9.69/7.29 tff(34502,plain,
% 9.69/7.29 ((v163(constB154) <=> (~((~v139(constB154)) | (~v128(constB154))))) <=> (v163(constB154) <=> (~((~v128(constB154)) | (~v139(constB154)))))),
% 9.69/7.29 inference(rewrite,[status(thm)],[])).
% 9.69/7.29 tff(34503,plain,
% 9.69/7.29 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB154) <=> (~((~v139(constB154)) | (~v128(constB154)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB154) <=> (~((~v128(constB154)) | (~v139(constB154))))))),
% 9.69/7.29 inference(monotonicity,[status(thm)],[34502])).
% 9.69/7.29 tff(34504,plain,
% 9.69/7.29 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB154) <=> (~((~v139(constB154)) | (~v128(constB154)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB154) <=> (~((~v128(constB154)) | (~v139(constB154))))))),
% 9.69/7.29 inference(transitivity,[status(thm)],[34503, 34501])).
% 9.69/7.29 tff(34505,plain,
% 9.69/7.29 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB154) <=> (~((~v139(constB154)) | (~v128(constB154)))))),
% 9.69/7.29 inference(quant_inst,[status(thm)],[])).
% 9.69/7.29 tff(34506,plain,
% 9.69/7.29 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB154) <=> (~((~v128(constB154)) | (~v139(constB154)))))),
% 9.69/7.29 inference(modus_ponens,[status(thm)],[34505, 34504])).
% 9.69/7.29 tff(34507,plain,
% 9.69/7.29 (v163(constB154) <=> (~((~v128(constB154)) | (~v139(constB154))))),
% 9.69/7.29 inference(unit_resolution,[status(thm)],[34506, 171])).
% 9.69/7.29 tff(34508,plain,
% 9.69/7.29 ((~![VarNext: $i] : (v128(VarNext) <=> v162(VarNext))) | (v128(constB154) <=> v162(constB154))),
% 9.69/7.29 inference(quant_inst,[status(thm)],[])).
% 9.69/7.29 tff(34509,plain,
% 9.69/7.29 (v128(constB154) <=> v162(constB154)),
% 9.69/7.29 inference(unit_resolution,[status(thm)],[34508, 13])).
% 9.69/7.29 tff(34510,plain,
% 9.69/7.29 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB153, constB154)) | (v162(constB154) <=> v160(constB153)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB153, constB154)) | (v162(constB154) <=> v160(constB153)))),
% 9.69/7.29 inference(rewrite,[status(thm)],[])).
% 9.69/7.29 tff(34511,plain,
% 9.69/7.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB153, constB154)) | (v162(constB154) <=> v160(constB153)))),
% 9.69/7.29 inference(quant_inst,[status(thm)],[])).
% 9.69/7.29 tff(34512,plain,
% 9.69/7.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB153, constB154)) | (v162(constB154) <=> v160(constB153))),
% 9.69/7.29 inference(modus_ponens,[status(thm)],[34511, 34510])).
% 9.69/7.29 tff(34513,plain,
% 9.69/7.29 (v162(constB154) <=> v160(constB153)),
% 9.69/7.29 inference(unit_resolution,[status(thm)],[34512, 2736, 70])).
% 9.69/7.29 tff(34514,plain,
% 9.69/7.29 ((~![VarCurr: $i] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB153) <=> (v163(constB153) | v164(constB153)))),
% 9.69/7.29 inference(quant_inst,[status(thm)],[])).
% 9.69/7.29 tff(34515,plain,
% 9.69/7.29 (v160(constB153) <=> (v163(constB153) | v164(constB153))),
% 9.69/7.29 inference(unit_resolution,[status(thm)],[34514, 84])).
% 9.69/7.29 tff(34516,plain,
% 9.69/7.29 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB153) <=> (~((~v128(constB153)) | (~v139(constB153)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB153) <=> (~((~v128(constB153)) | (~v139(constB153))))))),
% 9.69/7.29 inference(rewrite,[status(thm)],[])).
% 9.69/7.29 tff(34517,plain,
% 9.69/7.29 ((v163(constB153) <=> (~((~v139(constB153)) | (~v128(constB153))))) <=> (v163(constB153) <=> (~((~v128(constB153)) | (~v139(constB153)))))),
% 9.69/7.29 inference(rewrite,[status(thm)],[])).
% 9.69/7.29 tff(34518,plain,
% 9.69/7.29 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB153) <=> (~((~v139(constB153)) | (~v128(constB153)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB153) <=> (~((~v128(constB153)) | (~v139(constB153))))))),
% 9.69/7.29 inference(monotonicity,[status(thm)],[34517])).
% 9.69/7.29 tff(34519,plain,
% 9.69/7.29 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB153) <=> (~((~v139(constB153)) | (~v128(constB153)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB153) <=> (~((~v128(constB153)) | (~v139(constB153))))))),
% 9.69/7.29 inference(transitivity,[status(thm)],[34518, 34516])).
% 9.69/7.29 tff(34520,plain,
% 9.69/7.29 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB153) <=> (~((~v139(constB153)) | (~v128(constB153)))))),
% 9.69/7.29 inference(quant_inst,[status(thm)],[])).
% 9.69/7.29 tff(34521,plain,
% 9.69/7.29 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB153) <=> (~((~v128(constB153)) | (~v139(constB153)))))),
% 9.69/7.29 inference(modus_ponens,[status(thm)],[34520, 34519])).
% 9.69/7.29 tff(34522,plain,
% 9.69/7.29 (v163(constB153) <=> (~((~v128(constB153)) | (~v139(constB153))))),
% 9.69/7.29 inference(unit_resolution,[status(thm)],[34521, 171])).
% 9.69/7.29 tff(34523,plain,
% 9.69/7.29 (((~v128(constB153)) | (~v139(constB153))) | v139(constB153)),
% 9.69/7.29 inference(tautology,[status(thm)],[])).
% 9.69/7.29 tff(34524,plain,
% 9.69/7.29 ((~v128(constB153)) | (~v139(constB153))),
% 9.69/7.29 inference(unit_resolution,[status(thm)],[34523, 27997])).
% 9.69/7.29 tff(34525,plain,
% 9.69/7.29 ((~(v163(constB153) <=> (~((~v128(constB153)) | (~v139(constB153)))))) | (~v163(constB153)) | (~((~v128(constB153)) | (~v139(constB153))))),
% 9.69/7.29 inference(tautology,[status(thm)],[])).
% 9.69/7.29 tff(34526,plain,
% 9.69/7.29 (~v163(constB153)),
% 9.69/7.29 inference(unit_resolution,[status(thm)],[34525, 34524, 34522])).
% 9.69/7.29 tff(34527,plain,
% 9.69/7.29 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB153) <=> (~((~v130(constB153)) | (~v154(constB153)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB153) <=> (~((~v130(constB153)) | (~v154(constB153))))))),
% 9.69/7.29 inference(rewrite,[status(thm)],[])).
% 9.69/7.29 tff(34528,plain,
% 9.69/7.29 ((v164(constB153) <=> (~((~v154(constB153)) | (~v130(constB153))))) <=> (v164(constB153) <=> (~((~v130(constB153)) | (~v154(constB153)))))),
% 9.69/7.29 inference(rewrite,[status(thm)],[])).
% 9.69/7.29 tff(34529,plain,
% 9.69/7.29 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB153) <=> (~((~v154(constB153)) | (~v130(constB153)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB153) <=> (~((~v130(constB153)) | (~v154(constB153))))))),
% 9.69/7.29 inference(monotonicity,[status(thm)],[34528])).
% 9.69/7.29 tff(34530,plain,
% 9.69/7.29 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB153) <=> (~((~v154(constB153)) | (~v130(constB153)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB153) <=> (~((~v130(constB153)) | (~v154(constB153))))))),
% 9.69/7.29 inference(transitivity,[status(thm)],[34529, 34527])).
% 9.69/7.29 tff(34531,plain,
% 9.69/7.29 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB153) <=> (~((~v154(constB153)) | (~v130(constB153)))))),
% 9.69/7.29 inference(quant_inst,[status(thm)],[])).
% 9.69/7.29 tff(34532,plain,
% 9.69/7.29 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB153) <=> (~((~v130(constB153)) | (~v154(constB153)))))),
% 9.69/7.29 inference(modus_ponens,[status(thm)],[34531, 34530])).
% 9.69/7.29 tff(34533,plain,
% 9.69/7.29 (v164(constB153) <=> (~((~v130(constB153)) | (~v154(constB153))))),
% 9.69/7.29 inference(unit_resolution,[status(thm)],[34532, 96])).
% 9.69/7.29 tff(34534,plain,
% 9.69/7.29 ((~![VarNext: $i] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB153) <=> v152(constB153))),
% 9.69/7.29 inference(quant_inst,[status(thm)],[])).
% 9.69/7.29 tff(34535,plain,
% 9.69/7.29 (v130(constB153) <=> v152(constB153)),
% 9.69/7.29 inference(unit_resolution,[status(thm)],[34534, 361])).
% 9.69/7.29 tff(34536,plain,
% 9.69/7.29 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB152, constB153)) | (v152(constB153) <=> v150(constB152)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB152, constB153)) | (v152(constB153) <=> v150(constB152)))),
% 9.69/7.29 inference(rewrite,[status(thm)],[])).
% 9.69/7.29 tff(34537,plain,
% 9.69/7.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB152, constB153)) | (v152(constB153) <=> v150(constB152)))),
% 9.69/7.29 inference(quant_inst,[status(thm)],[])).
% 9.69/7.29 tff(34538,plain,
% 9.69/7.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB152, constB153)) | (v152(constB153) <=> v150(constB152))),
% 9.69/7.29 inference(modus_ponens,[status(thm)],[34537, 34536])).
% 9.69/7.29 tff(34539,plain,
% 9.69/7.29 (v152(constB153) <=> v150(constB152)),
% 9.69/7.29 inference(unit_resolution,[status(thm)],[34538, 2795, 373])).
% 9.69/7.29 tff(34540,plain,
% 9.69/7.29 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v153(VarCurr) | v155(VarCurr)))) | (v150(constB152) <=> (v153(constB152) | v155(constB152)))),
% 9.69/7.29 inference(quant_inst,[status(thm)],[])).
% 9.69/7.29 tff(34541,plain,
% 9.69/7.29 (v150(constB152) <=> (v153(constB152) | v155(constB152))),
% 9.69/7.29 inference(unit_resolution,[status(thm)],[34540, 387])).
% 9.69/7.29 tff(34542,plain,
% 9.69/7.29 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB152) <=> (~((~v132(constB152)) | (~v154(constB152)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB152) <=> (~((~v132(constB152)) | (~v154(constB152))))))),
% 9.69/7.29 inference(rewrite,[status(thm)],[])).
% 9.69/7.29 tff(34543,plain,
% 9.69/7.29 ((v153(constB152) <=> (~((~v154(constB152)) | (~v132(constB152))))) <=> (v153(constB152) <=> (~((~v132(constB152)) | (~v154(constB152)))))),
% 9.69/7.29 inference(rewrite,[status(thm)],[])).
% 9.69/7.29 tff(34544,plain,
% 9.69/7.29 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB152) <=> (~((~v154(constB152)) | (~v132(constB152)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB152) <=> (~((~v132(constB152)) | (~v154(constB152))))))),
% 9.69/7.29 inference(monotonicity,[status(thm)],[34543])).
% 9.69/7.29 tff(34545,plain,
% 9.69/7.29 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB152) <=> (~((~v154(constB152)) | (~v132(constB152)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB152) <=> (~((~v132(constB152)) | (~v154(constB152))))))),
% 9.69/7.29 inference(transitivity,[status(thm)],[34544, 34542])).
% 9.69/7.29 tff(34546,plain,
% 9.69/7.29 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB152) <=> (~((~v154(constB152)) | (~v132(constB152)))))),
% 9.69/7.29 inference(quant_inst,[status(thm)],[])).
% 9.69/7.29 tff(34547,plain,
% 9.69/7.29 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB152) <=> (~((~v132(constB152)) | (~v154(constB152)))))),
% 9.69/7.29 inference(modus_ponens,[status(thm)],[34546, 34545])).
% 9.69/7.29 tff(34548,plain,
% 9.69/7.29 (v153(constB152) <=> (~((~v132(constB152)) | (~v154(constB152))))),
% 9.69/7.29 inference(unit_resolution,[status(thm)],[34547, 399])).
% 9.69/7.29 tff(34549,plain,
% 9.69/7.29 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB152) <=> (~((~v141(constB152)) | (~v143(constB152)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB152) <=> (~((~v141(constB152)) | (~v143(constB152))))))),
% 9.78/7.29 inference(rewrite,[status(thm)],[])).
% 9.78/7.29 tff(34550,plain,
% 9.78/7.29 ((v154(constB152) <=> (~((~v143(constB152)) | (~v141(constB152))))) <=> (v154(constB152) <=> (~((~v141(constB152)) | (~v143(constB152)))))),
% 9.78/7.29 inference(rewrite,[status(thm)],[])).
% 9.78/7.29 tff(34551,plain,
% 9.78/7.29 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB152) <=> (~((~v143(constB152)) | (~v141(constB152)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB152) <=> (~((~v141(constB152)) | (~v143(constB152))))))),
% 9.78/7.29 inference(monotonicity,[status(thm)],[34550])).
% 9.78/7.29 tff(34552,plain,
% 9.78/7.29 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB152) <=> (~((~v143(constB152)) | (~v141(constB152)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB152) <=> (~((~v141(constB152)) | (~v143(constB152))))))),
% 9.78/7.29 inference(transitivity,[status(thm)],[34551, 34549])).
% 9.78/7.29 tff(34553,plain,
% 9.78/7.29 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB152) <=> (~((~v143(constB152)) | (~v141(constB152)))))),
% 9.78/7.29 inference(quant_inst,[status(thm)],[])).
% 9.78/7.29 tff(34554,plain,
% 9.78/7.29 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB152) <=> (~((~v141(constB152)) | (~v143(constB152)))))),
% 9.78/7.29 inference(modus_ponens,[status(thm)],[34553, 34552])).
% 9.78/7.29 tff(34555,plain,
% 9.78/7.29 (v154(constB152) <=> (~((~v141(constB152)) | (~v143(constB152))))),
% 9.78/7.29 inference(unit_resolution,[status(thm)],[34554, 113])).
% 9.78/7.29 tff(34556,plain,
% 9.78/7.29 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB152) <=> (~((~v39(constB152)) | (~v9(constB152)))))),
% 9.78/7.29 inference(quant_inst,[status(thm)],[])).
% 9.78/7.29 tff(34557,plain,
% 9.78/7.29 (v141(constB152) <=> (~((~v39(constB152)) | (~v9(constB152))))),
% 9.78/7.29 inference(unit_resolution,[status(thm)],[34556, 130])).
% 9.78/7.29 tff(34558,plain,
% 9.78/7.29 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB152)) <=> v1(constB152))),
% 9.78/7.29 inference(quant_inst,[status(thm)],[])).
% 9.78/7.29 tff(34559,plain,
% 9.78/7.29 ((~v39(constB152)) <=> v1(constB152)),
% 9.78/7.29 inference(unit_resolution,[status(thm)],[34558, 139])).
% 9.78/7.29 tff(34560,plain,
% 9.78/7.29 ((~((~v39(constB152)) <=> v1(constB152))) | (~v39(constB152)) | (~v1(constB152))),
% 9.78/7.29 inference(tautology,[status(thm)],[])).
% 9.78/7.29 tff(34561,plain,
% 9.78/7.29 ((~((~v39(constB152)) <=> v1(constB152))) | (~v39(constB152))),
% 9.78/7.29 inference(unit_resolution,[status(thm)],[34560, 2857])).
% 9.78/7.29 tff(34562,plain,
% 9.78/7.29 (~v39(constB152)),
% 9.78/7.29 inference(unit_resolution,[status(thm)],[34561, 34559])).
% 9.78/7.29 tff(34563,plain,
% 9.78/7.29 (((~v39(constB152)) | (~v9(constB152))) | v39(constB152)),
% 9.78/7.29 inference(tautology,[status(thm)],[])).
% 9.78/7.29 tff(34564,plain,
% 9.78/7.29 ((~v39(constB152)) | (~v9(constB152))),
% 9.78/7.29 inference(unit_resolution,[status(thm)],[34563, 34562])).
% 9.78/7.29 tff(34565,plain,
% 9.78/7.29 ((~(v141(constB152) <=> (~((~v39(constB152)) | (~v9(constB152)))))) | (~v141(constB152)) | (~((~v39(constB152)) | (~v9(constB152))))),
% 9.78/7.29 inference(tautology,[status(thm)],[])).
% 9.78/7.29 tff(34566,plain,
% 9.78/7.29 ((~(v141(constB152) <=> (~((~v39(constB152)) | (~v9(constB152)))))) | (~v141(constB152))),
% 9.78/7.29 inference(unit_resolution,[status(thm)],[34565, 34564])).
% 9.78/7.29 tff(34567,plain,
% 9.78/7.29 (~v141(constB152)),
% 9.78/7.29 inference(unit_resolution,[status(thm)],[34566, 34557])).
% 9.78/7.29 tff(34568,plain,
% 9.78/7.29 (((~v141(constB152)) | (~v143(constB152))) | v141(constB152)),
% 9.78/7.29 inference(tautology,[status(thm)],[])).
% 9.78/7.29 tff(34569,plain,
% 9.78/7.29 ((~v141(constB152)) | (~v143(constB152))),
% 9.78/7.29 inference(unit_resolution,[status(thm)],[34568, 34567])).
% 9.78/7.29 tff(34570,plain,
% 9.78/7.29 ((~(v154(constB152) <=> (~((~v141(constB152)) | (~v143(constB152)))))) | (~v154(constB152)) | (~((~v141(constB152)) | (~v143(constB152))))),
% 9.78/7.29 inference(tautology,[status(thm)],[])).
% 9.78/7.29 tff(34571,plain,
% 9.78/7.29 ((~(v154(constB152) <=> (~((~v141(constB152)) | (~v143(constB152)))))) | (~v154(constB152))),
% 9.78/7.29 inference(unit_resolution,[status(thm)],[34570, 34569])).
% 9.78/7.29 tff(34572,plain,
% 9.78/7.29 (~v154(constB152)),
% 9.78/7.29 inference(unit_resolution,[status(thm)],[34571, 34555])).
% 9.78/7.29 tff(34573,plain,
% 9.78/7.29 (((~v132(constB152)) | (~v154(constB152))) | v154(constB152)),
% 9.78/7.29 inference(tautology,[status(thm)],[])).
% 9.78/7.29 tff(34574,plain,
% 9.78/7.29 ((~v132(constB152)) | (~v154(constB152))),
% 9.78/7.29 inference(unit_resolution,[status(thm)],[34573, 34572])).
% 9.78/7.29 tff(34575,plain,
% 9.78/7.29 ((~(v153(constB152) <=> (~((~v132(constB152)) | (~v154(constB152)))))) | (~v153(constB152)) | (~((~v132(constB152)) | (~v154(constB152))))),
% 9.78/7.29 inference(tautology,[status(thm)],[])).
% 9.78/7.29 tff(34576,plain,
% 9.78/7.29 (~v153(constB152)),
% 9.78/7.29 inference(unit_resolution,[status(thm)],[34575, 34574, 34548])).
% 9.78/7.29 tff(34577,plain,
% 9.78/7.29 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB152) <=> (~((~v130(constB152)) | (~v139(constB152)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB152) <=> (~((~v130(constB152)) | (~v139(constB152))))))),
% 9.78/7.29 inference(rewrite,[status(thm)],[])).
% 9.78/7.29 tff(34578,plain,
% 9.78/7.29 ((v155(constB152) <=> (~((~v139(constB152)) | (~v130(constB152))))) <=> (v155(constB152) <=> (~((~v130(constB152)) | (~v139(constB152)))))),
% 9.78/7.29 inference(rewrite,[status(thm)],[])).
% 9.78/7.29 tff(34579,plain,
% 9.78/7.29 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB152) <=> (~((~v139(constB152)) | (~v130(constB152)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB152) <=> (~((~v130(constB152)) | (~v139(constB152))))))),
% 9.78/7.29 inference(monotonicity,[status(thm)],[34578])).
% 9.78/7.29 tff(34580,plain,
% 9.78/7.29 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB152) <=> (~((~v139(constB152)) | (~v130(constB152)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB152) <=> (~((~v130(constB152)) | (~v139(constB152))))))),
% 9.78/7.29 inference(transitivity,[status(thm)],[34579, 34577])).
% 9.78/7.29 tff(34581,plain,
% 9.78/7.29 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB152) <=> (~((~v139(constB152)) | (~v130(constB152)))))),
% 9.78/7.29 inference(quant_inst,[status(thm)],[])).
% 9.78/7.29 tff(34582,plain,
% 9.78/7.29 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB152) <=> (~((~v130(constB152)) | (~v139(constB152)))))),
% 9.78/7.29 inference(modus_ponens,[status(thm)],[34581, 34580])).
% 9.78/7.29 tff(34583,plain,
% 9.78/7.29 (v155(constB152) <=> (~((~v130(constB152)) | (~v139(constB152))))),
% 9.78/7.29 inference(unit_resolution,[status(thm)],[34582, 447])).
% 9.78/7.29 tff(34584,plain,
% 9.78/7.29 ((~![VarNext: $i] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB152) <=> v152(constB152))),
% 9.78/7.29 inference(quant_inst,[status(thm)],[])).
% 9.78/7.29 tff(34585,plain,
% 9.78/7.29 (v130(constB152) <=> v152(constB152)),
% 9.78/7.29 inference(unit_resolution,[status(thm)],[34584, 361])).
% 9.78/7.29 tff(34586,plain,
% 9.78/7.29 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB151, constB152)) | (v152(constB152) <=> v150(constB151)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB151, constB152)) | (v152(constB152) <=> v150(constB151)))),
% 9.78/7.29 inference(rewrite,[status(thm)],[])).
% 9.78/7.29 tff(34587,plain,
% 9.78/7.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB151, constB152)) | (v152(constB152) <=> v150(constB151)))),
% 9.78/7.29 inference(quant_inst,[status(thm)],[])).
% 9.78/7.29 tff(34588,plain,
% 9.78/7.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB151, constB152)) | (v152(constB152) <=> v150(constB151))),
% 9.78/7.29 inference(modus_ponens,[status(thm)],[34587, 34586])).
% 9.78/7.29 tff(34589,plain,
% 9.78/7.29 (v152(constB152) <=> v150(constB151)),
% 9.78/7.29 inference(unit_resolution,[status(thm)],[34588, 2827, 373])).
% 9.78/7.29 tff(34590,plain,
% 9.78/7.29 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v153(VarCurr) | v155(VarCurr)))) | (v150(constB151) <=> (v153(constB151) | v155(constB151)))),
% 9.78/7.29 inference(quant_inst,[status(thm)],[])).
% 9.78/7.29 tff(34591,plain,
% 9.78/7.29 (v150(constB151) <=> (v153(constB151) | v155(constB151))),
% 9.78/7.29 inference(unit_resolution,[status(thm)],[34590, 387])).
% 9.78/7.29 tff(34592,plain,
% 9.78/7.29 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB151) <=> (~((~v130(constB151)) | (~v139(constB151)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB151) <=> (~((~v130(constB151)) | (~v139(constB151))))))),
% 9.78/7.29 inference(rewrite,[status(thm)],[])).
% 9.78/7.29 tff(34593,plain,
% 9.78/7.29 ((v155(constB151) <=> (~((~v139(constB151)) | (~v130(constB151))))) <=> (v155(constB151) <=> (~((~v130(constB151)) | (~v139(constB151)))))),
% 9.78/7.29 inference(rewrite,[status(thm)],[])).
% 9.78/7.29 tff(34594,plain,
% 9.78/7.29 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB151) <=> (~((~v139(constB151)) | (~v130(constB151)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB151) <=> (~((~v130(constB151)) | (~v139(constB151))))))),
% 9.78/7.29 inference(monotonicity,[status(thm)],[34593])).
% 9.78/7.29 tff(34595,plain,
% 9.78/7.29 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB151) <=> (~((~v139(constB151)) | (~v130(constB151)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB151) <=> (~((~v130(constB151)) | (~v139(constB151))))))),
% 9.78/7.29 inference(transitivity,[status(thm)],[34594, 34592])).
% 9.78/7.29 tff(34596,plain,
% 9.78/7.29 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB151) <=> (~((~v139(constB151)) | (~v130(constB151)))))),
% 9.78/7.29 inference(quant_inst,[status(thm)],[])).
% 9.78/7.29 tff(34597,plain,
% 9.78/7.29 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB151) <=> (~((~v130(constB151)) | (~v139(constB151)))))),
% 9.78/7.29 inference(modus_ponens,[status(thm)],[34596, 34595])).
% 9.78/7.29 tff(34598,plain,
% 9.78/7.29 (v155(constB151) <=> (~((~v130(constB151)) | (~v139(constB151))))),
% 9.78/7.29 inference(unit_resolution,[status(thm)],[34597, 447])).
% 9.78/7.29 tff(34599,plain,
% 9.78/7.29 ((~![VarCurr: $i] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB151)) <=> v140(constB151))),
% 9.78/7.29 inference(quant_inst,[status(thm)],[])).
% 9.78/7.29 tff(34600,plain,
% 9.78/7.29 ((~v139(constB151)) <=> v140(constB151)),
% 9.78/7.29 inference(unit_resolution,[status(thm)],[34599, 203])).
% 9.78/7.29 tff(34601,plain,
% 9.78/7.29 ((~![VarCurr: $i] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB151) <=> (v141(constB151) | v26(constB151)))),
% 9.78/7.29 inference(quant_inst,[status(thm)],[])).
% 9.78/7.29 tff(34602,plain,
% 9.78/7.29 (v140(constB151) <=> (v141(constB151) | v26(constB151))),
% 9.78/7.29 inference(unit_resolution,[status(thm)],[34601, 212])).
% 9.78/7.29 tff(34603,plain,
% 9.78/7.29 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB151) <=> (~((~v39(constB151)) | (~v9(constB151)))))),
% 9.78/7.29 inference(quant_inst,[status(thm)],[])).
% 9.78/7.29 tff(34604,plain,
% 9.78/7.29 (v141(constB151) <=> (~((~v39(constB151)) | (~v9(constB151))))),
% 9.78/7.29 inference(unit_resolution,[status(thm)],[34603, 130])).
% 9.78/7.29 tff(34605,plain,
% 9.78/7.29 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB151, constB152)) | (v13(constB152) <=> v9(constB151)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB151, constB152)) | (v13(constB152) <=> v9(constB151)))),
% 9.78/7.29 inference(rewrite,[status(thm)],[])).
% 9.78/7.29 tff(34606,plain,
% 9.78/7.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB151, constB152)) | (v13(constB152) <=> v9(constB151)))),
% 9.78/7.29 inference(quant_inst,[status(thm)],[])).
% 9.78/7.29 tff(34607,plain,
% 9.78/7.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB151, constB152)) | (v13(constB152) <=> v9(constB151))),
% 9.78/7.29 inference(modus_ponens,[status(thm)],[34606, 34605])).
% 9.78/7.29 tff(34608,plain,
% 9.78/7.29 (v13(constB152) <=> v9(constB151)),
% 9.78/7.29 inference(unit_resolution,[status(thm)],[34607, 2827, 226])).
% 9.78/7.29 tff(34609,plain,
% 9.78/7.29 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB152) <=> v13(constB152))),
% 9.78/7.29 inference(quant_inst,[status(thm)],[])).
% 9.78/7.29 tff(34610,plain,
% 9.78/7.29 (v6(constB152) <=> v13(constB152)),
% 9.78/7.29 inference(unit_resolution,[status(thm)],[34609, 240])).
% 9.78/7.29 tff(34611,plain,
% 9.78/7.29 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB152)) <=> v6(constB152))),
% 9.78/7.29 inference(quant_inst,[status(thm)],[])).
% 9.78/7.29 tff(34612,plain,
% 9.78/7.29 ((~v21(constB152)) <=> v6(constB152)),
% 9.78/7.29 inference(unit_resolution,[status(thm)],[34611, 249])).
% 9.78/7.29 tff(34613,plain,
% 9.78/7.29 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB152) <=> (v20(constB152) | v21(constB152)))),
% 9.78/7.29 inference(quant_inst,[status(thm)],[])).
% 9.78/7.29 tff(34614,plain,
% 9.78/7.29 (v19(constB152) <=> (v20(constB152) | v21(constB152))),
% 9.78/7.29 inference(unit_resolution,[status(thm)],[34613, 258])).
% 9.78/7.29 tff(34615,plain,
% 9.78/7.29 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB152) <=> (~((~v19(constB152)) | (~v22(constB152)))))),
% 9.78/7.29 inference(quant_inst,[status(thm)],[])).
% 9.78/7.29 tff(34616,plain,
% 9.78/7.29 (v18(constB152) <=> (~((~v19(constB152)) | (~v22(constB152))))),
% 9.78/7.29 inference(unit_resolution,[status(thm)],[34615, 270])).
% 9.78/7.29 tff(34617,plain,
% 9.78/7.29 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB152)) <=> v18(constB152))),
% 9.78/7.29 inference(quant_inst,[status(thm)],[])).
% 9.78/7.29 tff(34618,plain,
% 9.78/7.29 ((~v4(constB152)) <=> v18(constB152)),
% 9.78/7.29 inference(unit_resolution,[status(thm)],[34617, 279])).
% 9.78/7.29 tff(34619,plain,
% 9.78/7.29 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB152)),
% 9.78/7.29 inference(quant_inst,[status(thm)],[])).
% 9.78/7.29 tff(34620,plain,
% 9.78/7.29 (v4(constB152)),
% 9.78/7.29 inference(unit_resolution,[status(thm)],[34619, 288])).
% 9.78/7.29 tff(34621,plain,
% 9.78/7.29 ((~((~v4(constB152)) <=> v18(constB152))) | (~v4(constB152)) | (~v18(constB152))),
% 9.78/7.29 inference(tautology,[status(thm)],[])).
% 9.78/7.29 tff(34622,plain,
% 9.78/7.29 (~v18(constB152)),
% 9.78/7.29 inference(unit_resolution,[status(thm)],[34621, 34620, 34618])).
% 9.78/7.29 tff(34623,plain,
% 9.78/7.29 ((~(v18(constB152) <=> (~((~v19(constB152)) | (~v22(constB152)))))) | v18(constB152) | ((~v19(constB152)) | (~v22(constB152)))),
% 9.78/7.29 inference(tautology,[status(thm)],[])).
% 9.78/7.29 tff(34624,plain,
% 9.78/7.29 ((~v19(constB152)) | (~v22(constB152))),
% 9.78/7.29 inference(unit_resolution,[status(thm)],[34623, 34622, 34616])).
% 9.78/7.29 tff(34625,plain,
% 9.78/7.29 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB152) <=> (v1(constB152) | v6(constB152)))),
% 9.78/7.29 inference(quant_inst,[status(thm)],[])).
% 9.78/7.29 tff(34626,plain,
% 9.78/7.29 (v22(constB152) <=> (v1(constB152) | v6(constB152))),
% 9.78/7.29 inference(unit_resolution,[status(thm)],[34625, 301])).
% 9.78/7.29 tff(34627,plain,
% 9.78/7.29 ((v1(constB152) | v6(constB152)) | (~v1(constB152))),
% 9.78/7.29 inference(tautology,[status(thm)],[])).
% 9.78/7.29 tff(34628,plain,
% 9.78/7.29 (v1(constB152) | v6(constB152)),
% 9.78/7.29 inference(unit_resolution,[status(thm)],[34627, 2857])).
% 9.78/7.29 tff(34629,plain,
% 9.78/7.29 ((~(v22(constB152) <=> (v1(constB152) | v6(constB152)))) | v22(constB152) | (~(v1(constB152) | v6(constB152)))),
% 9.78/7.29 inference(tautology,[status(thm)],[])).
% 9.78/7.29 tff(34630,plain,
% 9.78/7.29 ((~(v22(constB152) <=> (v1(constB152) | v6(constB152)))) | v22(constB152)),
% 9.78/7.29 inference(unit_resolution,[status(thm)],[34629, 34628])).
% 9.78/7.29 tff(34631,plain,
% 9.78/7.29 (v22(constB152)),
% 9.78/7.29 inference(unit_resolution,[status(thm)],[34630, 34626])).
% 9.78/7.29 tff(34632,plain,
% 9.78/7.29 ((~((~v19(constB152)) | (~v22(constB152)))) | (~v19(constB152)) | (~v22(constB152))),
% 9.78/7.29 inference(tautology,[status(thm)],[])).
% 9.78/7.29 tff(34633,plain,
% 9.78/7.29 ((~((~v19(constB152)) | (~v22(constB152)))) | (~v19(constB152))),
% 9.78/7.29 inference(unit_resolution,[status(thm)],[34632, 34631])).
% 9.78/7.29 tff(34634,plain,
% 9.78/7.29 (~v19(constB152)),
% 9.78/7.29 inference(unit_resolution,[status(thm)],[34633, 34624])).
% 9.78/7.29 tff(34635,plain,
% 9.78/7.29 ((~(v19(constB152) <=> (v20(constB152) | v21(constB152)))) | v19(constB152) | (~(v20(constB152) | v21(constB152)))),
% 9.78/7.29 inference(tautology,[status(thm)],[])).
% 9.78/7.29 tff(34636,plain,
% 9.78/7.29 (~(v20(constB152) | v21(constB152))),
% 9.78/7.29 inference(unit_resolution,[status(thm)],[34635, 34634, 34614])).
% 9.78/7.29 tff(34637,plain,
% 9.78/7.29 ((v20(constB152) | v21(constB152)) | (~v21(constB152))),
% 9.78/7.29 inference(tautology,[status(thm)],[])).
% 9.78/7.29 tff(34638,plain,
% 9.78/7.29 (~v21(constB152)),
% 9.78/7.29 inference(unit_resolution,[status(thm)],[34637, 34636])).
% 9.78/7.29 tff(34639,plain,
% 9.78/7.29 ((~((~v21(constB152)) <=> v6(constB152))) | v21(constB152) | v6(constB152)),
% 9.78/7.29 inference(tautology,[status(thm)],[])).
% 9.78/7.29 tff(34640,plain,
% 9.78/7.29 (v6(constB152)),
% 9.78/7.29 inference(unit_resolution,[status(thm)],[34639, 34638, 34612])).
% 9.78/7.29 tff(34641,plain,
% 9.78/7.29 ((~(v6(constB152) <=> v13(constB152))) | (~v6(constB152)) | v13(constB152)),
% 9.78/7.29 inference(tautology,[status(thm)],[])).
% 9.78/7.29 tff(34642,plain,
% 9.78/7.29 (v13(constB152)),
% 9.78/7.29 inference(unit_resolution,[status(thm)],[34641, 34640, 34610])).
% 9.78/7.29 tff(34643,plain,
% 9.78/7.29 ((~(v13(constB152) <=> v9(constB151))) | (~v13(constB152)) | v9(constB151)),
% 9.78/7.29 inference(tautology,[status(thm)],[])).
% 9.78/7.29 tff(34644,plain,
% 9.78/7.29 (v9(constB151)),
% 9.78/7.29 inference(unit_resolution,[status(thm)],[34643, 34642, 34608])).
% 9.78/7.29 tff(34645,plain,
% 9.78/7.29 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB151)) <=> v1(constB151))),
% 9.78/7.29 inference(quant_inst,[status(thm)],[])).
% 9.78/7.29 tff(34646,plain,
% 9.78/7.29 ((~v39(constB151)) <=> v1(constB151)),
% 9.78/7.29 inference(unit_resolution,[status(thm)],[34645, 139])).
% 9.78/7.29 tff(34647,plain,
% 9.78/7.29 ((~((~v39(constB151)) <=> v1(constB151))) | v39(constB151) | v1(constB151)),
% 9.78/7.29 inference(tautology,[status(thm)],[])).
% 9.78/7.29 tff(34648,plain,
% 9.78/7.29 ((~((~v39(constB151)) <=> v1(constB151))) | v39(constB151)),
% 9.78/7.29 inference(unit_resolution,[status(thm)],[34647, 2849])).
% 9.78/7.29 tff(34649,plain,
% 9.78/7.29 (v39(constB151)),
% 9.78/7.29 inference(unit_resolution,[status(thm)],[34648, 34646])).
% 9.78/7.29 tff(34650,plain,
% 9.78/7.29 ((~((~v39(constB151)) | (~v9(constB151)))) | (~v39(constB151)) | (~v9(constB151))),
% 9.78/7.29 inference(tautology,[status(thm)],[])).
% 9.78/7.29 tff(34651,plain,
% 9.78/7.29 ((~((~v39(constB151)) | (~v9(constB151)))) | (~v9(constB151))),
% 9.78/7.29 inference(unit_resolution,[status(thm)],[34650, 34649])).
% 9.78/7.29 tff(34652,plain,
% 9.78/7.29 (~((~v39(constB151)) | (~v9(constB151)))),
% 9.78/7.29 inference(unit_resolution,[status(thm)],[34651, 34644])).
% 9.78/7.29 tff(34653,plain,
% 9.78/7.29 ((~(v141(constB151) <=> (~((~v39(constB151)) | (~v9(constB151)))))) | v141(constB151) | ((~v39(constB151)) | (~v9(constB151)))),
% 9.78/7.29 inference(tautology,[status(thm)],[])).
% 9.78/7.29 tff(34654,plain,
% 9.78/7.29 (v141(constB151)),
% 9.78/7.29 inference(unit_resolution,[status(thm)],[34653, 34652, 34604])).
% 9.78/7.29 tff(34655,plain,
% 9.78/7.29 ((v141(constB151) | v26(constB151)) | (~v141(constB151))),
% 9.78/7.29 inference(tautology,[status(thm)],[])).
% 9.78/7.29 tff(34656,plain,
% 9.78/7.29 (v141(constB151) | v26(constB151)),
% 9.78/7.29 inference(unit_resolution,[status(thm)],[34655, 34654])).
% 9.78/7.29 tff(34657,plain,
% 9.78/7.29 ((~(v140(constB151) <=> (v141(constB151) | v26(constB151)))) | v140(constB151) | (~(v141(constB151) | v26(constB151)))),
% 9.78/7.29 inference(tautology,[status(thm)],[])).
% 9.78/7.29 tff(34658,plain,
% 9.78/7.29 (v140(constB151)),
% 9.78/7.29 inference(unit_resolution,[status(thm)],[34657, 34656, 34602])).
% 9.78/7.29 tff(34659,plain,
% 9.78/7.29 ((~((~v139(constB151)) <=> v140(constB151))) | (~v139(constB151)) | (~v140(constB151))),
% 9.78/7.29 inference(tautology,[status(thm)],[])).
% 9.78/7.29 tff(34660,plain,
% 9.78/7.29 (~v139(constB151)),
% 9.78/7.29 inference(unit_resolution,[status(thm)],[34659, 34658, 34600])).
% 9.78/7.29 tff(34661,plain,
% 9.78/7.29 (((~v130(constB151)) | (~v139(constB151))) | v139(constB151)),
% 9.78/7.29 inference(tautology,[status(thm)],[])).
% 9.78/7.29 tff(34662,plain,
% 9.78/7.29 ((~v130(constB151)) | (~v139(constB151))),
% 9.78/7.29 inference(unit_resolution,[status(thm)],[34661, 34660])).
% 9.78/7.29 tff(34663,plain,
% 9.78/7.29 ((~(v155(constB151) <=> (~((~v130(constB151)) | (~v139(constB151)))))) | (~v155(constB151)) | (~((~v130(constB151)) | (~v139(constB151))))),
% 9.78/7.29 inference(tautology,[status(thm)],[])).
% 9.78/7.29 tff(34664,plain,
% 9.78/7.29 (~v155(constB151)),
% 9.78/7.29 inference(unit_resolution,[status(thm)],[34663, 34662, 34598])).
% 9.78/7.29 tff(34665,plain,
% 9.78/7.29 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB151) <=> (~((~v132(constB151)) | (~v154(constB151)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB151) <=> (~((~v132(constB151)) | (~v154(constB151))))))),
% 9.78/7.29 inference(rewrite,[status(thm)],[])).
% 9.78/7.29 tff(34666,plain,
% 9.78/7.29 ((v153(constB151) <=> (~((~v154(constB151)) | (~v132(constB151))))) <=> (v153(constB151) <=> (~((~v132(constB151)) | (~v154(constB151)))))),
% 9.78/7.29 inference(rewrite,[status(thm)],[])).
% 9.78/7.29 tff(34667,plain,
% 9.78/7.29 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB151) <=> (~((~v154(constB151)) | (~v132(constB151)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB151) <=> (~((~v132(constB151)) | (~v154(constB151))))))),
% 9.78/7.29 inference(monotonicity,[status(thm)],[34666])).
% 9.78/7.29 tff(34668,plain,
% 9.78/7.29 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB151) <=> (~((~v154(constB151)) | (~v132(constB151)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB151) <=> (~((~v132(constB151)) | (~v154(constB151))))))),
% 9.78/7.29 inference(transitivity,[status(thm)],[34667, 34665])).
% 9.78/7.29 tff(34669,plain,
% 9.78/7.29 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB151) <=> (~((~v154(constB151)) | (~v132(constB151)))))),
% 9.78/7.29 inference(quant_inst,[status(thm)],[])).
% 9.78/7.29 tff(34670,plain,
% 9.78/7.29 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB151) <=> (~((~v132(constB151)) | (~v154(constB151)))))),
% 9.78/7.29 inference(modus_ponens,[status(thm)],[34669, 34668])).
% 9.78/7.29 tff(34671,plain,
% 9.78/7.29 (v153(constB151) <=> (~((~v132(constB151)) | (~v154(constB151))))),
% 9.78/7.29 inference(unit_resolution,[status(thm)],[34670, 399])).
% 9.78/7.29 tff(34672,plain,
% 9.78/7.29 ((~![VarNext: $i] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB151) <=> v137(constB151))),
% 9.78/7.29 inference(quant_inst,[status(thm)],[])).
% 9.78/7.29 tff(34673,plain,
% 9.78/7.29 (v132(constB151) <=> v137(constB151)),
% 9.78/7.29 inference(unit_resolution,[status(thm)],[34672, 558])).
% 9.78/7.29 tff(34674,plain,
% 9.78/7.29 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB150, constB151)) | (v137(constB151) <=> v135(constB150)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB150, constB151)) | (v137(constB151) <=> v135(constB150)))),
% 9.78/7.29 inference(rewrite,[status(thm)],[])).
% 9.78/7.29 tff(34675,plain,
% 9.78/7.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB150, constB151)) | (v137(constB151) <=> v135(constB150)))),
% 9.78/7.29 inference(quant_inst,[status(thm)],[])).
% 9.78/7.29 tff(34676,plain,
% 9.78/7.29 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB150, constB151)) | (v137(constB151) <=> v135(constB150))),
% 9.78/7.29 inference(modus_ponens,[status(thm)],[34675, 34674])).
% 9.78/7.29 tff(34677,plain,
% 9.78/7.29 (v137(constB151) <=> v135(constB150)),
% 9.78/7.29 inference(unit_resolution,[status(thm)],[34676, 2883, 570])).
% 9.78/7.29 tff(34678,plain,
% 9.78/7.29 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB150) <=> (v138(constB150) | v142(constB150)))),
% 9.78/7.29 inference(quant_inst,[status(thm)],[])).
% 9.78/7.29 tff(34679,plain,
% 9.78/7.29 (v135(constB150) <=> (v138(constB150) | v142(constB150))),
% 9.78/7.29 inference(unit_resolution,[status(thm)],[34678, 584])).
% 9.78/7.29 tff(34680,plain,
% 9.78/7.29 ((~![VarCurr: $i] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB150) <=> (~((~v143(constB150)) | (~v144(constB150)))))),
% 9.78/7.29 inference(quant_inst,[status(thm)],[])).
% 9.78/7.29 tff(34681,plain,
% 9.78/7.29 (v142(constB150) <=> (~((~v143(constB150)) | (~v144(constB150))))),
% 9.78/7.29 inference(unit_resolution,[status(thm)],[34680, 596])).
% 9.78/7.29 tff(34682,plain,
% 9.78/7.29 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB150) <=> (~((~v141(constB150)) | (~v145(constB150)))))),
% 9.78/7.29 inference(quant_inst,[status(thm)],[])).
% 9.78/7.29 tff(34683,plain,
% 9.78/7.29 (v144(constB150) <=> (~((~v141(constB150)) | (~v145(constB150))))),
% 9.78/7.29 inference(unit_resolution,[status(thm)],[34682, 608])).
% 9.78/7.29 tff(34684,plain,
% 9.78/7.29 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB150) <=> (~((~v39(constB150)) | (~v9(constB150)))))),
% 9.78/7.29 inference(quant_inst,[status(thm)],[])).
% 9.78/7.29 tff(34685,plain,
% 9.78/7.29 (v141(constB150) <=> (~((~v39(constB150)) | (~v9(constB150))))),
% 9.78/7.29 inference(unit_resolution,[status(thm)],[34684, 130])).
% 9.78/7.29 tff(34686,plain,
% 9.78/7.29 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB150)) <=> v1(constB150))),
% 9.78/7.29 inference(quant_inst,[status(thm)],[])).
% 9.78/7.29 tff(34687,plain,
% 9.78/7.29 ((~v39(constB150)) <=> v1(constB150)),
% 9.78/7.29 inference(unit_resolution,[status(thm)],[34686, 139])).
% 9.78/7.29 tff(34688,plain,
% 9.78/7.29 ((~((~v39(constB150)) <=> v1(constB150))) | (~v39(constB150)) | (~v1(constB150))),
% 9.78/7.29 inference(tautology,[status(thm)],[])).
% 9.78/7.29 tff(34689,plain,
% 9.78/7.29 ((~((~v39(constB150)) <=> v1(constB150))) | (~v39(constB150))),
% 9.78/7.29 inference(unit_resolution,[status(thm)],[34688, 2945])).
% 9.78/7.29 tff(34690,plain,
% 9.78/7.29 (~v39(constB150)),
% 9.78/7.29 inference(unit_resolution,[status(thm)],[34689, 34687])).
% 9.78/7.29 tff(34691,plain,
% 9.78/7.29 (((~v39(constB150)) | (~v9(constB150))) | v39(constB150)),
% 9.78/7.29 inference(tautology,[status(thm)],[])).
% 9.78/7.29 tff(34692,plain,
% 9.78/7.29 ((~v39(constB150)) | (~v9(constB150))),
% 9.78/7.29 inference(unit_resolution,[status(thm)],[34691, 34690])).
% 9.78/7.29 tff(34693,plain,
% 9.78/7.29 ((~(v141(constB150) <=> (~((~v39(constB150)) | (~v9(constB150)))))) | (~v141(constB150)) | (~((~v39(constB150)) | (~v9(constB150))))),
% 9.78/7.29 inference(tautology,[status(thm)],[])).
% 9.78/7.29 tff(34694,plain,
% 9.78/7.29 ((~(v141(constB150) <=> (~((~v39(constB150)) | (~v9(constB150)))))) | (~v141(constB150))),
% 9.78/7.29 inference(unit_resolution,[status(thm)],[34693, 34692])).
% 9.78/7.29 tff(34695,plain,
% 9.78/7.29 (~v141(constB150)),
% 9.78/7.29 inference(unit_resolution,[status(thm)],[34694, 34685])).
% 9.78/7.29 tff(34696,plain,
% 9.78/7.29 (((~v141(constB150)) | (~v145(constB150))) | v141(constB150)),
% 9.78/7.29 inference(tautology,[status(thm)],[])).
% 9.78/7.29 tff(34697,plain,
% 9.78/7.29 ((~v141(constB150)) | (~v145(constB150))),
% 9.78/7.29 inference(unit_resolution,[status(thm)],[34696, 34695])).
% 9.78/7.29 tff(34698,plain,
% 9.78/7.29 ((~(v144(constB150) <=> (~((~v141(constB150)) | (~v145(constB150)))))) | (~v144(constB150)) | (~((~v141(constB150)) | (~v145(constB150))))),
% 9.78/7.29 inference(tautology,[status(thm)],[])).
% 9.78/7.29 tff(34699,plain,
% 9.78/7.29 ((~(v144(constB150) <=> (~((~v141(constB150)) | (~v145(constB150)))))) | (~v144(constB150))),
% 9.78/7.29 inference(unit_resolution,[status(thm)],[34698, 34697])).
% 9.78/7.29 tff(34700,plain,
% 9.78/7.29 (~v144(constB150)),
% 9.78/7.29 inference(unit_resolution,[status(thm)],[34699, 34683])).
% 9.78/7.29 tff(34701,plain,
% 9.78/7.29 (((~v143(constB150)) | (~v144(constB150))) | v144(constB150)),
% 9.78/7.29 inference(tautology,[status(thm)],[])).
% 9.78/7.29 tff(34702,plain,
% 9.78/7.29 ((~v143(constB150)) | (~v144(constB150))),
% 9.78/7.29 inference(unit_resolution,[status(thm)],[34701, 34700])).
% 9.78/7.29 tff(34703,plain,
% 9.78/7.29 ((~(v142(constB150) <=> (~((~v143(constB150)) | (~v144(constB150)))))) | (~v142(constB150)) | (~((~v143(constB150)) | (~v144(constB150))))),
% 9.78/7.29 inference(tautology,[status(thm)],[])).
% 9.78/7.29 tff(34704,plain,
% 9.78/7.29 (~v142(constB150)),
% 9.78/7.29 inference(unit_resolution,[status(thm)],[34703, 34702, 34681])).
% 9.78/7.29 tff(34705,plain,
% 9.78/7.29 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB150) <=> (~((~v132(constB150)) | (~v139(constB150)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB150) <=> (~((~v132(constB150)) | (~v139(constB150))))))),
% 9.78/7.29 inference(rewrite,[status(thm)],[])).
% 9.78/7.29 tff(34706,plain,
% 9.78/7.29 ((v138(constB150) <=> (~((~v139(constB150)) | (~v132(constB150))))) <=> (v138(constB150) <=> (~((~v132(constB150)) | (~v139(constB150)))))),
% 9.78/7.29 inference(rewrite,[status(thm)],[])).
% 9.78/7.29 tff(34707,plain,
% 9.78/7.29 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB150) <=> (~((~v139(constB150)) | (~v132(constB150)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB150) <=> (~((~v132(constB150)) | (~v139(constB150))))))),
% 9.78/7.29 inference(monotonicity,[status(thm)],[34706])).
% 9.78/7.29 tff(34708,plain,
% 9.78/7.29 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB150) <=> (~((~v139(constB150)) | (~v132(constB150)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB150) <=> (~((~v132(constB150)) | (~v139(constB150))))))),
% 9.78/7.30 inference(transitivity,[status(thm)],[34707, 34705])).
% 9.78/7.30 tff(34709,plain,
% 9.78/7.30 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB150) <=> (~((~v139(constB150)) | (~v132(constB150)))))),
% 9.78/7.30 inference(quant_inst,[status(thm)],[])).
% 9.78/7.30 tff(34710,plain,
% 9.78/7.30 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB150) <=> (~((~v132(constB150)) | (~v139(constB150)))))),
% 9.78/7.30 inference(modus_ponens,[status(thm)],[34709, 34708])).
% 9.78/7.30 tff(34711,plain,
% 9.78/7.30 (v138(constB150) <=> (~((~v132(constB150)) | (~v139(constB150))))),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34710, 644])).
% 9.78/7.30 tff(34712,plain,
% 9.78/7.30 ((~![VarNext: $i] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB150) <=> v137(constB150))),
% 9.78/7.30 inference(quant_inst,[status(thm)],[])).
% 9.78/7.30 tff(34713,plain,
% 9.78/7.30 (v132(constB150) <=> v137(constB150)),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34712, 558])).
% 9.78/7.30 tff(34714,plain,
% 9.78/7.30 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB149, constB150)) | (v137(constB150) <=> v135(constB149)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB149, constB150)) | (v137(constB150) <=> v135(constB149)))),
% 9.78/7.30 inference(rewrite,[status(thm)],[])).
% 9.78/7.30 tff(34715,plain,
% 9.78/7.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB149, constB150)) | (v137(constB150) <=> v135(constB149)))),
% 9.78/7.30 inference(quant_inst,[status(thm)],[])).
% 9.78/7.30 tff(34716,plain,
% 9.78/7.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB149, constB150)) | (v137(constB150) <=> v135(constB149))),
% 9.78/7.30 inference(modus_ponens,[status(thm)],[34715, 34714])).
% 9.78/7.30 tff(34717,plain,
% 9.78/7.30 (v137(constB150) <=> v135(constB149)),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34716, 2915, 570])).
% 9.78/7.30 tff(34718,plain,
% 9.78/7.30 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB149) <=> (v138(constB149) | v142(constB149)))),
% 9.78/7.30 inference(quant_inst,[status(thm)],[])).
% 9.78/7.30 tff(34719,plain,
% 9.78/7.30 (v135(constB149) <=> (v138(constB149) | v142(constB149))),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34718, 584])).
% 9.78/7.30 tff(34720,plain,
% 9.78/7.30 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB149) <=> (~((~v132(constB149)) | (~v139(constB149)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB149) <=> (~((~v132(constB149)) | (~v139(constB149))))))),
% 9.78/7.30 inference(rewrite,[status(thm)],[])).
% 9.78/7.30 tff(34721,plain,
% 9.78/7.30 ((v138(constB149) <=> (~((~v139(constB149)) | (~v132(constB149))))) <=> (v138(constB149) <=> (~((~v132(constB149)) | (~v139(constB149)))))),
% 9.78/7.30 inference(rewrite,[status(thm)],[])).
% 9.78/7.30 tff(34722,plain,
% 9.78/7.30 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB149) <=> (~((~v139(constB149)) | (~v132(constB149)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB149) <=> (~((~v132(constB149)) | (~v139(constB149))))))),
% 9.78/7.30 inference(monotonicity,[status(thm)],[34721])).
% 9.78/7.30 tff(34723,plain,
% 9.78/7.30 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB149) <=> (~((~v139(constB149)) | (~v132(constB149)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB149) <=> (~((~v132(constB149)) | (~v139(constB149))))))),
% 9.78/7.30 inference(transitivity,[status(thm)],[34722, 34720])).
% 9.78/7.30 tff(34724,plain,
% 9.78/7.30 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB149) <=> (~((~v139(constB149)) | (~v132(constB149)))))),
% 9.78/7.30 inference(quant_inst,[status(thm)],[])).
% 9.78/7.30 tff(34725,plain,
% 9.78/7.30 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB149) <=> (~((~v132(constB149)) | (~v139(constB149)))))),
% 9.78/7.30 inference(modus_ponens,[status(thm)],[34724, 34723])).
% 9.78/7.30 tff(34726,plain,
% 9.78/7.30 (v138(constB149) <=> (~((~v132(constB149)) | (~v139(constB149))))),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34725, 644])).
% 9.78/7.30 tff(34727,plain,
% 9.78/7.30 ((~![VarCurr: $i] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB149)) <=> v140(constB149))),
% 9.78/7.30 inference(quant_inst,[status(thm)],[])).
% 9.78/7.30 tff(34728,plain,
% 9.78/7.30 ((~v139(constB149)) <=> v140(constB149)),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34727, 203])).
% 9.78/7.30 tff(34729,plain,
% 9.78/7.30 ((~![VarCurr: $i] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB149) <=> (v141(constB149) | v26(constB149)))),
% 9.78/7.30 inference(quant_inst,[status(thm)],[])).
% 9.78/7.30 tff(34730,plain,
% 9.78/7.30 (v140(constB149) <=> (v141(constB149) | v26(constB149))),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34729, 212])).
% 9.78/7.30 tff(34731,plain,
% 9.78/7.30 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB149) <=> (~((~v39(constB149)) | (~v9(constB149)))))),
% 9.78/7.30 inference(quant_inst,[status(thm)],[])).
% 9.78/7.30 tff(34732,plain,
% 9.78/7.30 (v141(constB149) <=> (~((~v39(constB149)) | (~v9(constB149))))),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34731, 130])).
% 9.78/7.30 tff(34733,plain,
% 9.78/7.30 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB149, constB150)) | (v13(constB150) <=> v9(constB149)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB149, constB150)) | (v13(constB150) <=> v9(constB149)))),
% 9.78/7.30 inference(rewrite,[status(thm)],[])).
% 9.78/7.30 tff(34734,plain,
% 9.78/7.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB149, constB150)) | (v13(constB150) <=> v9(constB149)))),
% 9.78/7.30 inference(quant_inst,[status(thm)],[])).
% 9.78/7.30 tff(34735,plain,
% 9.78/7.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB149, constB150)) | (v13(constB150) <=> v9(constB149))),
% 9.78/7.30 inference(modus_ponens,[status(thm)],[34734, 34733])).
% 9.78/7.30 tff(34736,plain,
% 9.78/7.30 (v13(constB150) <=> v9(constB149)),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34735, 2915, 226])).
% 9.78/7.30 tff(34737,plain,
% 9.78/7.30 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB150) <=> v13(constB150))),
% 9.78/7.30 inference(quant_inst,[status(thm)],[])).
% 9.78/7.30 tff(34738,plain,
% 9.78/7.30 (v6(constB150) <=> v13(constB150)),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34737, 240])).
% 9.78/7.30 tff(34739,plain,
% 9.78/7.30 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB150)) <=> v6(constB150))),
% 9.78/7.30 inference(quant_inst,[status(thm)],[])).
% 9.78/7.30 tff(34740,plain,
% 9.78/7.30 ((~v21(constB150)) <=> v6(constB150)),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34739, 249])).
% 9.78/7.30 tff(34741,plain,
% 9.78/7.30 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB150) <=> (v20(constB150) | v21(constB150)))),
% 9.78/7.30 inference(quant_inst,[status(thm)],[])).
% 9.78/7.30 tff(34742,plain,
% 9.78/7.30 (v19(constB150) <=> (v20(constB150) | v21(constB150))),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34741, 258])).
% 9.78/7.30 tff(34743,plain,
% 9.78/7.30 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB150) <=> (~((~v19(constB150)) | (~v22(constB150)))))),
% 9.78/7.30 inference(quant_inst,[status(thm)],[])).
% 9.78/7.30 tff(34744,plain,
% 9.78/7.30 (v18(constB150) <=> (~((~v19(constB150)) | (~v22(constB150))))),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34743, 270])).
% 9.78/7.30 tff(34745,plain,
% 9.78/7.30 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB150)) <=> v18(constB150))),
% 9.78/7.30 inference(quant_inst,[status(thm)],[])).
% 9.78/7.30 tff(34746,plain,
% 9.78/7.30 ((~v4(constB150)) <=> v18(constB150)),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34745, 279])).
% 9.78/7.30 tff(34747,plain,
% 9.78/7.30 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB150)),
% 9.78/7.30 inference(quant_inst,[status(thm)],[])).
% 9.78/7.30 tff(34748,plain,
% 9.78/7.30 (v4(constB150)),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34747, 288])).
% 9.78/7.30 tff(34749,plain,
% 9.78/7.30 ((~((~v4(constB150)) <=> v18(constB150))) | (~v4(constB150)) | (~v18(constB150))),
% 9.78/7.30 inference(tautology,[status(thm)],[])).
% 9.78/7.30 tff(34750,plain,
% 9.78/7.30 (~v18(constB150)),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34749, 34748, 34746])).
% 9.78/7.30 tff(34751,plain,
% 9.78/7.30 ((~(v18(constB150) <=> (~((~v19(constB150)) | (~v22(constB150)))))) | v18(constB150) | ((~v19(constB150)) | (~v22(constB150)))),
% 9.78/7.30 inference(tautology,[status(thm)],[])).
% 9.78/7.30 tff(34752,plain,
% 9.78/7.30 ((~v19(constB150)) | (~v22(constB150))),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34751, 34750, 34744])).
% 9.78/7.30 tff(34753,plain,
% 9.78/7.30 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB150) <=> (v1(constB150) | v6(constB150)))),
% 9.78/7.30 inference(quant_inst,[status(thm)],[])).
% 9.78/7.30 tff(34754,plain,
% 9.78/7.30 (v22(constB150) <=> (v1(constB150) | v6(constB150))),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34753, 301])).
% 9.78/7.30 tff(34755,plain,
% 9.78/7.30 ((v1(constB150) | v6(constB150)) | (~v1(constB150))),
% 9.78/7.30 inference(tautology,[status(thm)],[])).
% 9.78/7.30 tff(34756,plain,
% 9.78/7.30 (v1(constB150) | v6(constB150)),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34755, 2945])).
% 9.78/7.30 tff(34757,plain,
% 9.78/7.30 ((~(v22(constB150) <=> (v1(constB150) | v6(constB150)))) | v22(constB150) | (~(v1(constB150) | v6(constB150)))),
% 9.78/7.30 inference(tautology,[status(thm)],[])).
% 9.78/7.30 tff(34758,plain,
% 9.78/7.30 ((~(v22(constB150) <=> (v1(constB150) | v6(constB150)))) | v22(constB150)),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34757, 34756])).
% 9.78/7.30 tff(34759,plain,
% 9.78/7.30 (v22(constB150)),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34758, 34754])).
% 9.78/7.30 tff(34760,plain,
% 9.78/7.30 ((~((~v19(constB150)) | (~v22(constB150)))) | (~v19(constB150)) | (~v22(constB150))),
% 9.78/7.30 inference(tautology,[status(thm)],[])).
% 9.78/7.30 tff(34761,plain,
% 9.78/7.30 ((~((~v19(constB150)) | (~v22(constB150)))) | (~v19(constB150))),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34760, 34759])).
% 9.78/7.30 tff(34762,plain,
% 9.78/7.30 (~v19(constB150)),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34761, 34752])).
% 9.78/7.30 tff(34763,plain,
% 9.78/7.30 ((~(v19(constB150) <=> (v20(constB150) | v21(constB150)))) | v19(constB150) | (~(v20(constB150) | v21(constB150)))),
% 9.78/7.30 inference(tautology,[status(thm)],[])).
% 9.78/7.30 tff(34764,plain,
% 9.78/7.30 (~(v20(constB150) | v21(constB150))),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34763, 34762, 34742])).
% 9.78/7.30 tff(34765,plain,
% 9.78/7.30 ((v20(constB150) | v21(constB150)) | (~v21(constB150))),
% 9.78/7.30 inference(tautology,[status(thm)],[])).
% 9.78/7.30 tff(34766,plain,
% 9.78/7.30 (~v21(constB150)),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34765, 34764])).
% 9.78/7.30 tff(34767,plain,
% 9.78/7.30 ((~((~v21(constB150)) <=> v6(constB150))) | v21(constB150) | v6(constB150)),
% 9.78/7.30 inference(tautology,[status(thm)],[])).
% 9.78/7.30 tff(34768,plain,
% 9.78/7.30 (v6(constB150)),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34767, 34766, 34740])).
% 9.78/7.30 tff(34769,plain,
% 9.78/7.30 ((~(v6(constB150) <=> v13(constB150))) | (~v6(constB150)) | v13(constB150)),
% 9.78/7.30 inference(tautology,[status(thm)],[])).
% 9.78/7.30 tff(34770,plain,
% 9.78/7.30 (v13(constB150)),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34769, 34768, 34738])).
% 9.78/7.30 tff(34771,plain,
% 9.78/7.30 ((~(v13(constB150) <=> v9(constB149))) | (~v13(constB150)) | v9(constB149)),
% 9.78/7.30 inference(tautology,[status(thm)],[])).
% 9.78/7.30 tff(34772,plain,
% 9.78/7.30 (v9(constB149)),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34771, 34770, 34736])).
% 9.78/7.30 tff(34773,plain,
% 9.78/7.30 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB149)) <=> v1(constB149))),
% 9.78/7.30 inference(quant_inst,[status(thm)],[])).
% 9.78/7.30 tff(34774,plain,
% 9.78/7.30 ((~v39(constB149)) <=> v1(constB149)),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34773, 139])).
% 9.78/7.30 tff(34775,plain,
% 9.78/7.30 ((~((~v39(constB149)) <=> v1(constB149))) | v39(constB149) | v1(constB149)),
% 9.78/7.30 inference(tautology,[status(thm)],[])).
% 9.78/7.30 tff(34776,plain,
% 9.78/7.30 ((~((~v39(constB149)) <=> v1(constB149))) | v39(constB149)),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34775, 2937])).
% 9.78/7.30 tff(34777,plain,
% 9.78/7.30 (v39(constB149)),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34776, 34774])).
% 9.78/7.30 tff(34778,plain,
% 9.78/7.30 ((~((~v39(constB149)) | (~v9(constB149)))) | (~v39(constB149)) | (~v9(constB149))),
% 9.78/7.30 inference(tautology,[status(thm)],[])).
% 9.78/7.30 tff(34779,plain,
% 9.78/7.30 ((~((~v39(constB149)) | (~v9(constB149)))) | (~v9(constB149))),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34778, 34777])).
% 9.78/7.30 tff(34780,plain,
% 9.78/7.30 (~((~v39(constB149)) | (~v9(constB149)))),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34779, 34772])).
% 9.78/7.30 tff(34781,plain,
% 9.78/7.30 ((~(v141(constB149) <=> (~((~v39(constB149)) | (~v9(constB149)))))) | v141(constB149) | ((~v39(constB149)) | (~v9(constB149)))),
% 9.78/7.30 inference(tautology,[status(thm)],[])).
% 9.78/7.30 tff(34782,plain,
% 9.78/7.30 (v141(constB149)),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34781, 34780, 34732])).
% 9.78/7.30 tff(34783,plain,
% 9.78/7.30 ((v141(constB149) | v26(constB149)) | (~v141(constB149))),
% 9.78/7.30 inference(tautology,[status(thm)],[])).
% 9.78/7.30 tff(34784,plain,
% 9.78/7.30 (v141(constB149) | v26(constB149)),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34783, 34782])).
% 9.78/7.30 tff(34785,plain,
% 9.78/7.30 ((~(v140(constB149) <=> (v141(constB149) | v26(constB149)))) | v140(constB149) | (~(v141(constB149) | v26(constB149)))),
% 9.78/7.30 inference(tautology,[status(thm)],[])).
% 9.78/7.30 tff(34786,plain,
% 9.78/7.30 (v140(constB149)),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34785, 34784, 34730])).
% 9.78/7.30 tff(34787,plain,
% 9.78/7.30 ((~((~v139(constB149)) <=> v140(constB149))) | (~v139(constB149)) | (~v140(constB149))),
% 9.78/7.30 inference(tautology,[status(thm)],[])).
% 9.78/7.30 tff(34788,plain,
% 9.78/7.30 (~v139(constB149)),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34787, 34786, 34728])).
% 9.78/7.30 tff(34789,plain,
% 9.78/7.30 (((~v132(constB149)) | (~v139(constB149))) | v139(constB149)),
% 9.78/7.30 inference(tautology,[status(thm)],[])).
% 9.78/7.30 tff(34790,plain,
% 9.78/7.30 ((~v132(constB149)) | (~v139(constB149))),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34789, 34788])).
% 9.78/7.30 tff(34791,plain,
% 9.78/7.30 ((~(v138(constB149) <=> (~((~v132(constB149)) | (~v139(constB149)))))) | (~v138(constB149)) | (~((~v132(constB149)) | (~v139(constB149))))),
% 9.78/7.30 inference(tautology,[status(thm)],[])).
% 9.78/7.30 tff(34792,plain,
% 9.78/7.30 (~v138(constB149)),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34791, 34790, 34726])).
% 9.78/7.30 tff(34793,plain,
% 9.78/7.30 ((~![VarCurr: $i] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB149) <=> (~((~v143(constB149)) | (~v144(constB149)))))),
% 9.78/7.30 inference(quant_inst,[status(thm)],[])).
% 9.78/7.30 tff(34794,plain,
% 9.78/7.30 (v142(constB149) <=> (~((~v143(constB149)) | (~v144(constB149))))),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34793, 596])).
% 9.78/7.30 tff(34795,plain,
% 9.78/7.30 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB149) <=> (~((~v141(constB149)) | (~v145(constB149)))))),
% 9.78/7.30 inference(quant_inst,[status(thm)],[])).
% 9.78/7.30 tff(34796,plain,
% 9.78/7.30 (v144(constB149) <=> (~((~v141(constB149)) | (~v145(constB149))))),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34795, 608])).
% 9.78/7.30 tff(34797,plain,
% 9.78/7.30 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB149) <=> (~(v84(constB149, bitIndex2) | v84(constB149, bitIndex1) | (~v84(constB149, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB149) <=> (~(v84(constB149, bitIndex2) | v84(constB149, bitIndex1) | (~v84(constB149, bitIndex0))))))),
% 9.78/7.30 inference(rewrite,[status(thm)],[])).
% 9.78/7.30 tff(34798,plain,
% 9.78/7.30 ((v145(constB149) <=> (~(v84(constB149, bitIndex1) | v84(constB149, bitIndex2) | (~v84(constB149, bitIndex0))))) <=> (v145(constB149) <=> (~(v84(constB149, bitIndex2) | v84(constB149, bitIndex1) | (~v84(constB149, bitIndex0)))))),
% 9.78/7.30 inference(rewrite,[status(thm)],[])).
% 9.78/7.30 tff(34799,plain,
% 9.78/7.30 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB149) <=> (~(v84(constB149, bitIndex1) | v84(constB149, bitIndex2) | (~v84(constB149, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB149) <=> (~(v84(constB149, bitIndex2) | v84(constB149, bitIndex1) | (~v84(constB149, bitIndex0))))))),
% 9.78/7.30 inference(monotonicity,[status(thm)],[34798])).
% 9.78/7.30 tff(34800,plain,
% 9.78/7.30 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB149) <=> (~(v84(constB149, bitIndex1) | v84(constB149, bitIndex2) | (~v84(constB149, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB149) <=> (~(v84(constB149, bitIndex2) | v84(constB149, bitIndex1) | (~v84(constB149, bitIndex0))))))),
% 9.78/7.30 inference(transitivity,[status(thm)],[34799, 34797])).
% 9.78/7.30 tff(34801,plain,
% 9.78/7.30 ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB149) <=> (~(v84(constB149, bitIndex1) | v84(constB149, bitIndex2) | (~v84(constB149, bitIndex0)))))),
% 9.78/7.30 inference(quant_inst,[status(thm)],[])).
% 9.78/7.30 tff(34802,plain,
% 9.78/7.30 ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB149) <=> (~(v84(constB149, bitIndex2) | v84(constB149, bitIndex1) | (~v84(constB149, bitIndex0)))))),
% 9.78/7.30 inference(modus_ponens,[status(thm)],[34801, 34800])).
% 9.78/7.30 tff(34803,plain,
% 9.78/7.30 (v145(constB149) <=> (~(v84(constB149, bitIndex2) | v84(constB149, bitIndex1) | (~v84(constB149, bitIndex0))))),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34802, 755])).
% 9.78/7.30 tff(34804,plain,
% 9.78/7.30 ((v84(constB149, bitIndex2) | v84(constB149, bitIndex1) | (~v84(constB149, bitIndex0))) | (~v84(constB149, bitIndex1))),
% 9.78/7.30 inference(tautology,[status(thm)],[])).
% 9.78/7.30 tff(34805,plain,
% 9.78/7.30 (v84(constB149, bitIndex2) | v84(constB149, bitIndex1) | (~v84(constB149, bitIndex0))),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34804, 21996])).
% 9.78/7.30 tff(34806,plain,
% 9.78/7.30 ((~(v145(constB149) <=> (~(v84(constB149, bitIndex2) | v84(constB149, bitIndex1) | (~v84(constB149, bitIndex0)))))) | (~v145(constB149)) | (~(v84(constB149, bitIndex2) | v84(constB149, bitIndex1) | (~v84(constB149, bitIndex0))))),
% 9.78/7.30 inference(tautology,[status(thm)],[])).
% 9.78/7.30 tff(34807,plain,
% 9.78/7.30 (~v145(constB149)),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34806, 34805, 34803])).
% 9.78/7.30 tff(34808,plain,
% 9.78/7.30 (((~v141(constB149)) | (~v145(constB149))) | v145(constB149)),
% 9.78/7.30 inference(tautology,[status(thm)],[])).
% 9.78/7.30 tff(34809,plain,
% 9.78/7.30 ((~v141(constB149)) | (~v145(constB149))),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34808, 34807])).
% 9.78/7.30 tff(34810,plain,
% 9.78/7.30 ((~(v144(constB149) <=> (~((~v141(constB149)) | (~v145(constB149)))))) | (~v144(constB149)) | (~((~v141(constB149)) | (~v145(constB149))))),
% 9.78/7.30 inference(tautology,[status(thm)],[])).
% 9.78/7.30 tff(34811,plain,
% 9.78/7.30 (~v144(constB149)),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34810, 34809, 34796])).
% 9.78/7.30 tff(34812,plain,
% 9.78/7.30 (((~v143(constB149)) | (~v144(constB149))) | v144(constB149)),
% 9.78/7.30 inference(tautology,[status(thm)],[])).
% 9.78/7.30 tff(34813,plain,
% 9.78/7.30 ((~v143(constB149)) | (~v144(constB149))),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34812, 34811])).
% 9.78/7.30 tff(34814,plain,
% 9.78/7.30 ((~(v142(constB149) <=> (~((~v143(constB149)) | (~v144(constB149)))))) | (~v142(constB149)) | (~((~v143(constB149)) | (~v144(constB149))))),
% 9.78/7.30 inference(tautology,[status(thm)],[])).
% 9.78/7.30 tff(34815,plain,
% 9.78/7.30 (~v142(constB149)),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34814, 34813, 34794])).
% 9.78/7.30 tff(34816,plain,
% 9.78/7.30 ((~(v138(constB149) | v142(constB149))) | v138(constB149) | v142(constB149)),
% 9.78/7.30 inference(tautology,[status(thm)],[])).
% 9.78/7.30 tff(34817,plain,
% 9.78/7.30 (~(v138(constB149) | v142(constB149))),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34816, 34815, 34792])).
% 9.78/7.30 tff(34818,plain,
% 9.78/7.30 ((~(v135(constB149) <=> (v138(constB149) | v142(constB149)))) | (~v135(constB149)) | (v138(constB149) | v142(constB149))),
% 9.78/7.30 inference(tautology,[status(thm)],[])).
% 9.78/7.30 tff(34819,plain,
% 9.78/7.30 (~v135(constB149)),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34818, 34817, 34719])).
% 9.78/7.30 tff(34820,plain,
% 9.78/7.30 ((~(v137(constB150) <=> v135(constB149))) | (~v137(constB150)) | v135(constB149)),
% 9.78/7.30 inference(tautology,[status(thm)],[])).
% 9.78/7.30 tff(34821,plain,
% 9.78/7.30 (~v137(constB150)),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34820, 34819, 34717])).
% 9.78/7.30 tff(34822,plain,
% 9.78/7.30 ((~(v132(constB150) <=> v137(constB150))) | (~v132(constB150)) | v137(constB150)),
% 9.78/7.30 inference(tautology,[status(thm)],[])).
% 9.78/7.30 tff(34823,plain,
% 9.78/7.30 (~v132(constB150)),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34822, 34821, 34713])).
% 9.78/7.30 tff(34824,plain,
% 9.78/7.30 (((~v132(constB150)) | (~v139(constB150))) | v132(constB150)),
% 9.78/7.30 inference(tautology,[status(thm)],[])).
% 9.78/7.30 tff(34825,plain,
% 9.78/7.30 ((~v132(constB150)) | (~v139(constB150))),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34824, 34823])).
% 9.78/7.30 tff(34826,plain,
% 9.78/7.30 ((~(v138(constB150) <=> (~((~v132(constB150)) | (~v139(constB150)))))) | (~v138(constB150)) | (~((~v132(constB150)) | (~v139(constB150))))),
% 9.78/7.30 inference(tautology,[status(thm)],[])).
% 9.78/7.30 tff(34827,plain,
% 9.78/7.30 (~v138(constB150)),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34826, 34825, 34711])).
% 9.78/7.30 tff(34828,plain,
% 9.78/7.30 ((~(v138(constB150) | v142(constB150))) | v138(constB150) | v142(constB150)),
% 9.78/7.30 inference(tautology,[status(thm)],[])).
% 9.78/7.30 tff(34829,plain,
% 9.78/7.30 (~(v138(constB150) | v142(constB150))),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34828, 34827, 34704])).
% 9.78/7.30 tff(34830,plain,
% 9.78/7.30 ((~(v135(constB150) <=> (v138(constB150) | v142(constB150)))) | (~v135(constB150)) | (v138(constB150) | v142(constB150))),
% 9.78/7.30 inference(tautology,[status(thm)],[])).
% 9.78/7.30 tff(34831,plain,
% 9.78/7.30 (~v135(constB150)),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34830, 34829, 34679])).
% 9.78/7.30 tff(34832,plain,
% 9.78/7.30 ((~(v137(constB151) <=> v135(constB150))) | (~v137(constB151)) | v135(constB150)),
% 9.78/7.30 inference(tautology,[status(thm)],[])).
% 9.78/7.30 tff(34833,plain,
% 9.78/7.30 (~v137(constB151)),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34832, 34831, 34677])).
% 9.78/7.30 tff(34834,plain,
% 9.78/7.30 ((~(v132(constB151) <=> v137(constB151))) | (~v132(constB151)) | v137(constB151)),
% 9.78/7.30 inference(tautology,[status(thm)],[])).
% 9.78/7.30 tff(34835,plain,
% 9.78/7.30 (~v132(constB151)),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34834, 34833, 34673])).
% 9.78/7.30 tff(34836,plain,
% 9.78/7.30 (((~v132(constB151)) | (~v154(constB151))) | v132(constB151)),
% 9.78/7.30 inference(tautology,[status(thm)],[])).
% 9.78/7.30 tff(34837,plain,
% 9.78/7.30 ((~v132(constB151)) | (~v154(constB151))),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34836, 34835])).
% 9.78/7.30 tff(34838,plain,
% 9.78/7.30 ((~(v153(constB151) <=> (~((~v132(constB151)) | (~v154(constB151)))))) | (~v153(constB151)) | (~((~v132(constB151)) | (~v154(constB151))))),
% 9.78/7.30 inference(tautology,[status(thm)],[])).
% 9.78/7.30 tff(34839,plain,
% 9.78/7.30 (~v153(constB151)),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34838, 34837, 34671])).
% 9.78/7.30 tff(34840,plain,
% 9.78/7.30 ((~(v153(constB151) | v155(constB151))) | v153(constB151) | v155(constB151)),
% 9.78/7.30 inference(tautology,[status(thm)],[])).
% 9.78/7.30 tff(34841,plain,
% 9.78/7.30 (~(v153(constB151) | v155(constB151))),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34840, 34839, 34664])).
% 9.78/7.30 tff(34842,plain,
% 9.78/7.30 ((~(v150(constB151) <=> (v153(constB151) | v155(constB151)))) | (~v150(constB151)) | (v153(constB151) | v155(constB151))),
% 9.78/7.30 inference(tautology,[status(thm)],[])).
% 9.78/7.30 tff(34843,plain,
% 9.78/7.30 (~v150(constB151)),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34842, 34841, 34591])).
% 9.78/7.30 tff(34844,plain,
% 9.78/7.30 ((~(v152(constB152) <=> v150(constB151))) | (~v152(constB152)) | v150(constB151)),
% 9.78/7.30 inference(tautology,[status(thm)],[])).
% 9.78/7.30 tff(34845,plain,
% 9.78/7.30 (~v152(constB152)),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34844, 34843, 34589])).
% 9.78/7.30 tff(34846,plain,
% 9.78/7.30 ((~(v130(constB152) <=> v152(constB152))) | (~v130(constB152)) | v152(constB152)),
% 9.78/7.30 inference(tautology,[status(thm)],[])).
% 9.78/7.30 tff(34847,plain,
% 9.78/7.30 (~v130(constB152)),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34846, 34845, 34585])).
% 9.78/7.30 tff(34848,plain,
% 9.78/7.30 (((~v130(constB152)) | (~v139(constB152))) | v130(constB152)),
% 9.78/7.30 inference(tautology,[status(thm)],[])).
% 9.78/7.30 tff(34849,plain,
% 9.78/7.30 ((~v130(constB152)) | (~v139(constB152))),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34848, 34847])).
% 9.78/7.30 tff(34850,plain,
% 9.78/7.30 ((~(v155(constB152) <=> (~((~v130(constB152)) | (~v139(constB152)))))) | (~v155(constB152)) | (~((~v130(constB152)) | (~v139(constB152))))),
% 9.78/7.30 inference(tautology,[status(thm)],[])).
% 9.78/7.30 tff(34851,plain,
% 9.78/7.30 (~v155(constB152)),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34850, 34849, 34583])).
% 9.78/7.30 tff(34852,plain,
% 9.78/7.30 ((~(v153(constB152) | v155(constB152))) | v153(constB152) | v155(constB152)),
% 9.78/7.30 inference(tautology,[status(thm)],[])).
% 9.78/7.30 tff(34853,plain,
% 9.78/7.30 (~(v153(constB152) | v155(constB152))),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34852, 34851, 34576])).
% 9.78/7.30 tff(34854,plain,
% 9.78/7.30 ((~(v150(constB152) <=> (v153(constB152) | v155(constB152)))) | (~v150(constB152)) | (v153(constB152) | v155(constB152))),
% 9.78/7.30 inference(tautology,[status(thm)],[])).
% 9.78/7.30 tff(34855,plain,
% 9.78/7.30 (~v150(constB152)),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34854, 34853, 34541])).
% 9.78/7.30 tff(34856,plain,
% 9.78/7.30 ((~(v152(constB153) <=> v150(constB152))) | (~v152(constB153)) | v150(constB152)),
% 9.78/7.30 inference(tautology,[status(thm)],[])).
% 9.78/7.30 tff(34857,plain,
% 9.78/7.30 (~v152(constB153)),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34856, 34855, 34539])).
% 9.78/7.30 tff(34858,plain,
% 9.78/7.30 ((~(v130(constB153) <=> v152(constB153))) | (~v130(constB153)) | v152(constB153)),
% 9.78/7.30 inference(tautology,[status(thm)],[])).
% 9.78/7.30 tff(34859,plain,
% 9.78/7.30 (~v130(constB153)),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34858, 34857, 34535])).
% 9.78/7.30 tff(34860,plain,
% 9.78/7.30 (((~v130(constB153)) | (~v154(constB153))) | v130(constB153)),
% 9.78/7.30 inference(tautology,[status(thm)],[])).
% 9.78/7.30 tff(34861,plain,
% 9.78/7.30 ((~v130(constB153)) | (~v154(constB153))),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34860, 34859])).
% 9.78/7.30 tff(34862,plain,
% 9.78/7.30 ((~(v164(constB153) <=> (~((~v130(constB153)) | (~v154(constB153)))))) | (~v164(constB153)) | (~((~v130(constB153)) | (~v154(constB153))))),
% 9.78/7.30 inference(tautology,[status(thm)],[])).
% 9.78/7.30 tff(34863,plain,
% 9.78/7.30 (~v164(constB153)),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34862, 34861, 34533])).
% 9.78/7.30 tff(34864,plain,
% 9.78/7.30 ((~(v163(constB153) | v164(constB153))) | v163(constB153) | v164(constB153)),
% 9.78/7.30 inference(tautology,[status(thm)],[])).
% 9.78/7.30 tff(34865,plain,
% 9.78/7.30 (~(v163(constB153) | v164(constB153))),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34864, 34863, 34526])).
% 9.78/7.30 tff(34866,plain,
% 9.78/7.30 ((~(v160(constB153) <=> (v163(constB153) | v164(constB153)))) | (~v160(constB153)) | (v163(constB153) | v164(constB153))),
% 9.78/7.30 inference(tautology,[status(thm)],[])).
% 9.78/7.30 tff(34867,plain,
% 9.78/7.30 (~v160(constB153)),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34866, 34865, 34515])).
% 9.78/7.30 tff(34868,plain,
% 9.78/7.30 ((~(v162(constB154) <=> v160(constB153))) | (~v162(constB154)) | v160(constB153)),
% 9.78/7.30 inference(tautology,[status(thm)],[])).
% 9.78/7.30 tff(34869,plain,
% 9.78/7.30 (~v162(constB154)),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34868, 34867, 34513])).
% 9.78/7.30 tff(34870,plain,
% 9.78/7.30 ((~(v128(constB154) <=> v162(constB154))) | (~v128(constB154)) | v162(constB154)),
% 9.78/7.30 inference(tautology,[status(thm)],[])).
% 9.78/7.30 tff(34871,plain,
% 9.78/7.30 (~v128(constB154)),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34870, 34869, 34509])).
% 9.78/7.30 tff(34872,plain,
% 9.78/7.30 (((~v128(constB154)) | (~v139(constB154))) | v128(constB154)),
% 9.78/7.30 inference(tautology,[status(thm)],[])).
% 9.78/7.30 tff(34873,plain,
% 9.78/7.30 ((~v128(constB154)) | (~v139(constB154))),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34872, 34871])).
% 9.78/7.30 tff(34874,plain,
% 9.78/7.30 ((~(v163(constB154) <=> (~((~v128(constB154)) | (~v139(constB154)))))) | (~v163(constB154)) | (~((~v128(constB154)) | (~v139(constB154))))),
% 9.78/7.30 inference(tautology,[status(thm)],[])).
% 9.78/7.30 tff(34875,plain,
% 9.78/7.30 (~v163(constB154)),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34874, 34873, 34507])).
% 9.78/7.30 tff(34876,plain,
% 9.78/7.30 ((~(v163(constB154) | v164(constB154))) | v163(constB154) | v164(constB154)),
% 9.78/7.30 inference(tautology,[status(thm)],[])).
% 9.78/7.30 tff(34877,plain,
% 9.78/7.30 (~(v163(constB154) | v164(constB154))),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34876, 34875, 34500])).
% 9.78/7.30 tff(34878,plain,
% 9.78/7.30 ((~(v160(constB154) <=> (v163(constB154) | v164(constB154)))) | (~v160(constB154)) | (v163(constB154) | v164(constB154))),
% 9.78/7.30 inference(tautology,[status(thm)],[])).
% 9.78/7.30 tff(34879,plain,
% 9.78/7.30 (~v160(constB154)),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34878, 34877, 34477])).
% 9.78/7.30 tff(34880,plain,
% 9.78/7.30 ((~(v162(constB155) <=> v160(constB154))) | (~v162(constB155)) | v160(constB154)),
% 9.78/7.30 inference(tautology,[status(thm)],[])).
% 9.78/7.30 tff(34881,plain,
% 9.78/7.30 (~v162(constB155)),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34880, 34879, 34475])).
% 9.78/7.30 tff(34882,plain,
% 9.78/7.30 ($false),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34881, 34471])).
% 9.78/7.30 tff(34883,plain,(~(constB155 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.78/7.30 tff(34884,assumption,(constB51 = VarCurr!0), introduced(assumption)).
% 9.78/7.30 tff(34885,plain,
% 9.78/7.30 (v162(constB51) <=> v162(VarCurr!0)),
% 9.78/7.30 inference(monotonicity,[status(thm)],[34884])).
% 9.78/7.30 tff(34886,plain,
% 9.78/7.30 (v162(VarCurr!0) <=> v162(constB51)),
% 9.78/7.30 inference(symmetry,[status(thm)],[34885])).
% 9.78/7.30 tff(34887,plain,
% 9.78/7.30 (v162(constB51)),
% 9.78/7.30 inference(modus_ponens,[status(thm)],[59, 34886])).
% 9.78/7.30 tff(34888,plain,
% 9.78/7.30 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB50, constB51)) | (v162(constB51) <=> v160(constB50)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB50, constB51)) | (v162(constB51) <=> v160(constB50)))),
% 9.78/7.30 inference(rewrite,[status(thm)],[])).
% 9.78/7.30 tff(34889,plain,
% 9.78/7.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB50, constB51)) | (v162(constB51) <=> v160(constB50)))),
% 9.78/7.30 inference(quant_inst,[status(thm)],[])).
% 9.78/7.30 tff(34890,plain,
% 9.78/7.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB50, constB51)) | (v162(constB51) <=> v160(constB50))),
% 9.78/7.30 inference(modus_ponens,[status(thm)],[34889, 34888])).
% 9.78/7.30 tff(34891,plain,
% 9.78/7.30 (v162(constB51) <=> v160(constB50)),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34890, 7451, 70])).
% 9.78/7.30 tff(34892,plain,
% 9.78/7.30 ((~![VarCurr: $i] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB50) <=> (v163(constB50) | v164(constB50)))),
% 9.78/7.30 inference(quant_inst,[status(thm)],[])).
% 9.78/7.30 tff(34893,plain,
% 9.78/7.30 (v160(constB50) <=> (v163(constB50) | v164(constB50))),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34892, 84])).
% 9.78/7.30 tff(34894,plain,
% 9.78/7.30 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB50) <=> (~((~v130(constB50)) | (~v154(constB50)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB50) <=> (~((~v130(constB50)) | (~v154(constB50))))))),
% 9.78/7.30 inference(rewrite,[status(thm)],[])).
% 9.78/7.30 tff(34895,plain,
% 9.78/7.30 ((v164(constB50) <=> (~((~v154(constB50)) | (~v130(constB50))))) <=> (v164(constB50) <=> (~((~v130(constB50)) | (~v154(constB50)))))),
% 9.78/7.30 inference(rewrite,[status(thm)],[])).
% 9.78/7.30 tff(34896,plain,
% 9.78/7.30 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB50) <=> (~((~v154(constB50)) | (~v130(constB50)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB50) <=> (~((~v130(constB50)) | (~v154(constB50))))))),
% 9.78/7.30 inference(monotonicity,[status(thm)],[34895])).
% 9.78/7.30 tff(34897,plain,
% 9.78/7.30 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB50) <=> (~((~v154(constB50)) | (~v130(constB50)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB50) <=> (~((~v130(constB50)) | (~v154(constB50))))))),
% 9.78/7.30 inference(transitivity,[status(thm)],[34896, 34894])).
% 9.78/7.30 tff(34898,plain,
% 9.78/7.30 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB50) <=> (~((~v154(constB50)) | (~v130(constB50)))))),
% 9.78/7.30 inference(quant_inst,[status(thm)],[])).
% 9.78/7.30 tff(34899,plain,
% 9.78/7.30 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB50) <=> (~((~v130(constB50)) | (~v154(constB50)))))),
% 9.78/7.30 inference(modus_ponens,[status(thm)],[34898, 34897])).
% 9.78/7.30 tff(34900,plain,
% 9.78/7.30 (v164(constB50) <=> (~((~v130(constB50)) | (~v154(constB50))))),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34899, 96])).
% 9.78/7.30 tff(34901,plain,
% 9.78/7.30 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB50) <=> (~((~v141(constB50)) | (~v143(constB50)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB50) <=> (~((~v141(constB50)) | (~v143(constB50))))))),
% 9.78/7.30 inference(rewrite,[status(thm)],[])).
% 9.78/7.30 tff(34902,plain,
% 9.78/7.30 ((v154(constB50) <=> (~((~v143(constB50)) | (~v141(constB50))))) <=> (v154(constB50) <=> (~((~v141(constB50)) | (~v143(constB50)))))),
% 9.78/7.30 inference(rewrite,[status(thm)],[])).
% 9.78/7.30 tff(34903,plain,
% 9.78/7.30 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB50) <=> (~((~v143(constB50)) | (~v141(constB50)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB50) <=> (~((~v141(constB50)) | (~v143(constB50))))))),
% 9.78/7.30 inference(monotonicity,[status(thm)],[34902])).
% 9.78/7.30 tff(34904,plain,
% 9.78/7.30 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB50) <=> (~((~v143(constB50)) | (~v141(constB50)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB50) <=> (~((~v141(constB50)) | (~v143(constB50))))))),
% 9.78/7.30 inference(transitivity,[status(thm)],[34903, 34901])).
% 9.78/7.30 tff(34905,plain,
% 9.78/7.30 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB50) <=> (~((~v143(constB50)) | (~v141(constB50)))))),
% 9.78/7.30 inference(quant_inst,[status(thm)],[])).
% 9.78/7.30 tff(34906,plain,
% 9.78/7.30 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB50) <=> (~((~v141(constB50)) | (~v143(constB50)))))),
% 9.78/7.30 inference(modus_ponens,[status(thm)],[34905, 34904])).
% 9.78/7.30 tff(34907,plain,
% 9.78/7.30 (v154(constB50) <=> (~((~v141(constB50)) | (~v143(constB50))))),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34906, 113])).
% 9.78/7.30 tff(34908,plain,
% 9.78/7.30 (((~v141(constB50)) | (~v143(constB50))) | v141(constB50)),
% 9.78/7.30 inference(tautology,[status(thm)],[])).
% 9.78/7.30 tff(34909,plain,
% 9.78/7.30 ((~v141(constB50)) | (~v143(constB50))),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34908, 27416])).
% 9.78/7.30 tff(34910,plain,
% 9.78/7.30 ((~(v154(constB50) <=> (~((~v141(constB50)) | (~v143(constB50)))))) | (~v154(constB50)) | (~((~v141(constB50)) | (~v143(constB50))))),
% 9.78/7.30 inference(tautology,[status(thm)],[])).
% 9.78/7.30 tff(34911,plain,
% 9.78/7.30 ((~(v154(constB50) <=> (~((~v141(constB50)) | (~v143(constB50)))))) | (~v154(constB50))),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34910, 34909])).
% 9.78/7.30 tff(34912,plain,
% 9.78/7.30 (~v154(constB50)),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34911, 34907])).
% 9.78/7.30 tff(34913,plain,
% 9.78/7.30 (((~v130(constB50)) | (~v154(constB50))) | v154(constB50)),
% 9.78/7.30 inference(tautology,[status(thm)],[])).
% 9.78/7.30 tff(34914,plain,
% 9.78/7.30 ((~v130(constB50)) | (~v154(constB50))),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34913, 34912])).
% 9.78/7.30 tff(34915,plain,
% 9.78/7.30 ((~(v164(constB50) <=> (~((~v130(constB50)) | (~v154(constB50)))))) | (~v164(constB50)) | (~((~v130(constB50)) | (~v154(constB50))))),
% 9.78/7.30 inference(tautology,[status(thm)],[])).
% 9.78/7.30 tff(34916,plain,
% 9.78/7.30 (~v164(constB50)),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34915, 34914, 34900])).
% 9.78/7.30 tff(34917,plain,
% 9.78/7.30 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB50) <=> (~((~v128(constB50)) | (~v139(constB50)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB50) <=> (~((~v128(constB50)) | (~v139(constB50))))))),
% 9.78/7.30 inference(rewrite,[status(thm)],[])).
% 9.78/7.30 tff(34918,plain,
% 9.78/7.30 ((v163(constB50) <=> (~((~v139(constB50)) | (~v128(constB50))))) <=> (v163(constB50) <=> (~((~v128(constB50)) | (~v139(constB50)))))),
% 9.78/7.30 inference(rewrite,[status(thm)],[])).
% 9.78/7.30 tff(34919,plain,
% 9.78/7.30 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB50) <=> (~((~v139(constB50)) | (~v128(constB50)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB50) <=> (~((~v128(constB50)) | (~v139(constB50))))))),
% 9.78/7.30 inference(monotonicity,[status(thm)],[34918])).
% 9.78/7.30 tff(34920,plain,
% 9.78/7.30 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB50) <=> (~((~v139(constB50)) | (~v128(constB50)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB50) <=> (~((~v128(constB50)) | (~v139(constB50))))))),
% 9.78/7.30 inference(transitivity,[status(thm)],[34919, 34917])).
% 9.78/7.30 tff(34921,plain,
% 9.78/7.30 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB50) <=> (~((~v139(constB50)) | (~v128(constB50)))))),
% 9.78/7.30 inference(quant_inst,[status(thm)],[])).
% 9.78/7.30 tff(34922,plain,
% 9.78/7.30 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB50) <=> (~((~v128(constB50)) | (~v139(constB50)))))),
% 9.78/7.30 inference(modus_ponens,[status(thm)],[34921, 34920])).
% 9.78/7.30 tff(34923,plain,
% 9.78/7.30 (v163(constB50) <=> (~((~v128(constB50)) | (~v139(constB50))))),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34922, 171])).
% 9.78/7.30 tff(34924,plain,
% 9.78/7.30 ((~![VarNext: $i] : (v128(VarNext) <=> v162(VarNext))) | (v128(constB50) <=> v162(constB50))),
% 9.78/7.30 inference(quant_inst,[status(thm)],[])).
% 9.78/7.30 tff(34925,plain,
% 9.78/7.30 (v128(constB50) <=> v162(constB50)),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34924, 13])).
% 9.78/7.30 tff(34926,plain,
% 9.78/7.30 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB49, constB50)) | (v162(constB50) <=> v160(constB49)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB49, constB50)) | (v162(constB50) <=> v160(constB49)))),
% 9.78/7.30 inference(rewrite,[status(thm)],[])).
% 9.78/7.30 tff(34927,plain,
% 9.78/7.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB49, constB50)) | (v162(constB50) <=> v160(constB49)))),
% 9.78/7.30 inference(quant_inst,[status(thm)],[])).
% 9.78/7.30 tff(34928,plain,
% 9.78/7.30 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB49, constB50)) | (v162(constB50) <=> v160(constB49))),
% 9.78/7.30 inference(modus_ponens,[status(thm)],[34927, 34926])).
% 9.78/7.30 tff(34929,plain,
% 9.78/7.30 (v162(constB50) <=> v160(constB49)),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34928, 7483, 70])).
% 9.78/7.30 tff(34930,plain,
% 9.78/7.30 ((~![VarCurr: $i] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB49) <=> (v163(constB49) | v164(constB49)))),
% 9.78/7.30 inference(quant_inst,[status(thm)],[])).
% 9.78/7.30 tff(34931,plain,
% 9.78/7.30 (v160(constB49) <=> (v163(constB49) | v164(constB49))),
% 9.78/7.30 inference(unit_resolution,[status(thm)],[34930, 84])).
% 9.78/7.30 tff(34932,plain,
% 9.78/7.30 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB49) <=> (~((~v128(constB49)) | (~v139(constB49)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB49) <=> (~((~v128(constB49)) | (~v139(constB49))))))),
% 9.78/7.30 inference(rewrite,[status(thm)],[])).
% 9.78/7.30 tff(34933,plain,
% 9.78/7.30 ((v163(constB49) <=> (~((~v139(constB49)) | (~v128(constB49))))) <=> (v163(constB49) <=> (~((~v128(constB49)) | (~v139(constB49)))))),
% 9.78/7.30 inference(rewrite,[status(thm)],[])).
% 9.78/7.30 tff(34934,plain,
% 9.78/7.30 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB49) <=> (~((~v139(constB49)) | (~v128(constB49)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB49) <=> (~((~v128(constB49)) | (~v139(constB49))))))),
% 9.78/7.30 inference(monotonicity,[status(thm)],[34933])).
% 9.78/7.30 tff(34935,plain,
% 9.78/7.30 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB49) <=> (~((~v139(constB49)) | (~v128(constB49)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB49) <=> (~((~v128(constB49)) | (~v139(constB49))))))),
% 9.78/7.30 inference(transitivity,[status(thm)],[34934, 34932])).
% 9.78/7.30 tff(34936,plain,
% 9.78/7.30 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB49) <=> (~((~v139(constB49)) | (~v128(constB49)))))),
% 9.78/7.31 inference(quant_inst,[status(thm)],[])).
% 9.78/7.31 tff(34937,plain,
% 9.78/7.31 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB49) <=> (~((~v128(constB49)) | (~v139(constB49)))))),
% 9.78/7.31 inference(modus_ponens,[status(thm)],[34936, 34935])).
% 9.78/7.31 tff(34938,plain,
% 9.78/7.31 (v163(constB49) <=> (~((~v128(constB49)) | (~v139(constB49))))),
% 9.78/7.31 inference(unit_resolution,[status(thm)],[34937, 171])).
% 9.78/7.31 tff(34939,plain,
% 9.78/7.31 (((~v128(constB49)) | (~v139(constB49))) | v139(constB49)),
% 9.78/7.31 inference(tautology,[status(thm)],[])).
% 9.78/7.31 tff(34940,plain,
% 9.78/7.31 ((~v128(constB49)) | (~v139(constB49))),
% 9.78/7.31 inference(unit_resolution,[status(thm)],[34939, 27509])).
% 9.78/7.31 tff(34941,plain,
% 9.78/7.31 ((~(v163(constB49) <=> (~((~v128(constB49)) | (~v139(constB49)))))) | (~v163(constB49)) | (~((~v128(constB49)) | (~v139(constB49))))),
% 9.78/7.31 inference(tautology,[status(thm)],[])).
% 9.78/7.31 tff(34942,plain,
% 9.78/7.31 (~v163(constB49)),
% 9.78/7.31 inference(unit_resolution,[status(thm)],[34941, 34940, 34938])).
% 9.78/7.31 tff(34943,plain,
% 9.78/7.31 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB49) <=> (~((~v130(constB49)) | (~v154(constB49)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB49) <=> (~((~v130(constB49)) | (~v154(constB49))))))),
% 9.78/7.31 inference(rewrite,[status(thm)],[])).
% 9.78/7.31 tff(34944,plain,
% 9.78/7.31 ((v164(constB49) <=> (~((~v154(constB49)) | (~v130(constB49))))) <=> (v164(constB49) <=> (~((~v130(constB49)) | (~v154(constB49)))))),
% 9.78/7.31 inference(rewrite,[status(thm)],[])).
% 9.78/7.31 tff(34945,plain,
% 9.78/7.31 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB49) <=> (~((~v154(constB49)) | (~v130(constB49)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB49) <=> (~((~v130(constB49)) | (~v154(constB49))))))),
% 9.78/7.31 inference(monotonicity,[status(thm)],[34944])).
% 9.78/7.31 tff(34946,plain,
% 9.78/7.31 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB49) <=> (~((~v154(constB49)) | (~v130(constB49)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB49) <=> (~((~v130(constB49)) | (~v154(constB49))))))),
% 9.78/7.31 inference(transitivity,[status(thm)],[34945, 34943])).
% 9.78/7.31 tff(34947,plain,
% 9.78/7.31 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB49) <=> (~((~v154(constB49)) | (~v130(constB49)))))),
% 9.78/7.31 inference(quant_inst,[status(thm)],[])).
% 9.78/7.31 tff(34948,plain,
% 9.78/7.31 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB49) <=> (~((~v130(constB49)) | (~v154(constB49)))))),
% 9.78/7.31 inference(modus_ponens,[status(thm)],[34947, 34946])).
% 9.78/7.31 tff(34949,plain,
% 9.78/7.31 (v164(constB49) <=> (~((~v130(constB49)) | (~v154(constB49))))),
% 9.78/7.31 inference(unit_resolution,[status(thm)],[34948, 96])).
% 9.78/7.31 tff(34950,plain,
% 9.78/7.31 ((~![VarNext: $i] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB49) <=> v152(constB49))),
% 9.78/7.31 inference(quant_inst,[status(thm)],[])).
% 9.78/7.31 tff(34951,plain,
% 9.78/7.31 (v130(constB49) <=> v152(constB49)),
% 9.78/7.31 inference(unit_resolution,[status(thm)],[34950, 361])).
% 9.78/7.31 tff(34952,plain,
% 9.78/7.31 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB48, constB49)) | (v152(constB49) <=> v150(constB48)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB48, constB49)) | (v152(constB49) <=> v150(constB48)))),
% 9.78/7.31 inference(rewrite,[status(thm)],[])).
% 9.78/7.31 tff(34953,plain,
% 9.78/7.31 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB48, constB49)) | (v152(constB49) <=> v150(constB48)))),
% 9.78/7.31 inference(quant_inst,[status(thm)],[])).
% 9.78/7.31 tff(34954,plain,
% 9.78/7.31 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB48, constB49)) | (v152(constB49) <=> v150(constB48))),
% 9.78/7.31 inference(modus_ponens,[status(thm)],[34953, 34952])).
% 9.78/7.31 tff(34955,plain,
% 9.78/7.31 (v152(constB49) <=> v150(constB48)),
% 9.78/7.31 inference(unit_resolution,[status(thm)],[34954, 7538, 373])).
% 9.78/7.31 tff(34956,plain,
% 9.78/7.31 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v153(VarCurr) | v155(VarCurr)))) | (v150(constB48) <=> (v153(constB48) | v155(constB48)))),
% 9.78/7.31 inference(quant_inst,[status(thm)],[])).
% 9.78/7.31 tff(34957,plain,
% 9.78/7.31 (v150(constB48) <=> (v153(constB48) | v155(constB48))),
% 9.78/7.31 inference(unit_resolution,[status(thm)],[34956, 387])).
% 9.78/7.31 tff(34958,plain,
% 9.78/7.31 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB48) <=> (~((~v132(constB48)) | (~v154(constB48)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB48) <=> (~((~v132(constB48)) | (~v154(constB48))))))),
% 9.78/7.31 inference(rewrite,[status(thm)],[])).
% 9.78/7.31 tff(34959,plain,
% 9.78/7.31 ((v153(constB48) <=> (~((~v154(constB48)) | (~v132(constB48))))) <=> (v153(constB48) <=> (~((~v132(constB48)) | (~v154(constB48)))))),
% 9.78/7.31 inference(rewrite,[status(thm)],[])).
% 9.78/7.31 tff(34960,plain,
% 9.78/7.31 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB48) <=> (~((~v154(constB48)) | (~v132(constB48)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB48) <=> (~((~v132(constB48)) | (~v154(constB48))))))),
% 9.78/7.31 inference(monotonicity,[status(thm)],[34959])).
% 9.78/7.31 tff(34961,plain,
% 9.78/7.31 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB48) <=> (~((~v154(constB48)) | (~v132(constB48)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB48) <=> (~((~v132(constB48)) | (~v154(constB48))))))),
% 9.78/7.31 inference(transitivity,[status(thm)],[34960, 34958])).
% 9.78/7.31 tff(34962,plain,
% 9.78/7.31 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB48) <=> (~((~v154(constB48)) | (~v132(constB48)))))),
% 9.78/7.31 inference(quant_inst,[status(thm)],[])).
% 9.78/7.31 tff(34963,plain,
% 9.78/7.31 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB48) <=> (~((~v132(constB48)) | (~v154(constB48)))))),
% 9.78/7.31 inference(modus_ponens,[status(thm)],[34962, 34961])).
% 9.78/7.31 tff(34964,plain,
% 9.78/7.31 (v153(constB48) <=> (~((~v132(constB48)) | (~v154(constB48))))),
% 9.78/7.31 inference(unit_resolution,[status(thm)],[34963, 399])).
% 9.78/7.31 tff(34965,plain,
% 9.78/7.31 (((~v132(constB48)) | (~v154(constB48))) | v154(constB48)),
% 9.78/7.31 inference(tautology,[status(thm)],[])).
% 9.78/7.31 tff(34966,plain,
% 9.78/7.31 ((~v132(constB48)) | (~v154(constB48))),
% 9.78/7.31 inference(unit_resolution,[status(thm)],[34965, 31225])).
% 9.78/7.31 tff(34967,plain,
% 9.78/7.31 ((~(v153(constB48) <=> (~((~v132(constB48)) | (~v154(constB48)))))) | (~v153(constB48)) | (~((~v132(constB48)) | (~v154(constB48))))),
% 9.78/7.31 inference(tautology,[status(thm)],[])).
% 9.78/7.31 tff(34968,plain,
% 9.78/7.31 (~v153(constB48)),
% 9.78/7.31 inference(unit_resolution,[status(thm)],[34967, 34966, 34964])).
% 9.78/7.31 tff(34969,plain,
% 9.78/7.31 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB48) <=> (~((~v130(constB48)) | (~v139(constB48)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB48) <=> (~((~v130(constB48)) | (~v139(constB48))))))),
% 9.78/7.31 inference(rewrite,[status(thm)],[])).
% 9.78/7.31 tff(34970,plain,
% 9.78/7.31 ((v155(constB48) <=> (~((~v139(constB48)) | (~v130(constB48))))) <=> (v155(constB48) <=> (~((~v130(constB48)) | (~v139(constB48)))))),
% 9.78/7.31 inference(rewrite,[status(thm)],[])).
% 9.78/7.31 tff(34971,plain,
% 9.78/7.31 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB48) <=> (~((~v139(constB48)) | (~v130(constB48)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB48) <=> (~((~v130(constB48)) | (~v139(constB48))))))),
% 9.78/7.31 inference(monotonicity,[status(thm)],[34970])).
% 9.78/7.31 tff(34972,plain,
% 9.78/7.31 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB48) <=> (~((~v139(constB48)) | (~v130(constB48)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB48) <=> (~((~v130(constB48)) | (~v139(constB48))))))),
% 9.78/7.31 inference(transitivity,[status(thm)],[34971, 34969])).
% 9.78/7.31 tff(34973,plain,
% 9.78/7.31 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB48) <=> (~((~v139(constB48)) | (~v130(constB48)))))),
% 9.78/7.31 inference(quant_inst,[status(thm)],[])).
% 9.78/7.31 tff(34974,plain,
% 9.78/7.31 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB48) <=> (~((~v130(constB48)) | (~v139(constB48)))))),
% 9.78/7.31 inference(modus_ponens,[status(thm)],[34973, 34972])).
% 9.78/7.31 tff(34975,plain,
% 9.78/7.31 (v155(constB48) <=> (~((~v130(constB48)) | (~v139(constB48))))),
% 9.78/7.31 inference(unit_resolution,[status(thm)],[34974, 447])).
% 9.78/7.31 tff(34976,plain,
% 9.78/7.31 ((~![VarNext: $i] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB48) <=> v152(constB48))),
% 9.78/7.31 inference(quant_inst,[status(thm)],[])).
% 9.78/7.31 tff(34977,plain,
% 9.78/7.31 (v130(constB48) <=> v152(constB48)),
% 9.78/7.31 inference(unit_resolution,[status(thm)],[34976, 361])).
% 9.78/7.31 tff(34978,plain,
% 9.78/7.31 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB47, constB48)) | (v152(constB48) <=> v150(constB47)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB47, constB48)) | (v152(constB48) <=> v150(constB47)))),
% 9.78/7.31 inference(rewrite,[status(thm)],[])).
% 9.78/7.31 tff(34979,plain,
% 9.78/7.31 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB47, constB48)) | (v152(constB48) <=> v150(constB47)))),
% 9.78/7.31 inference(quant_inst,[status(thm)],[])).
% 9.78/7.31 tff(34980,plain,
% 9.78/7.31 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB47, constB48)) | (v152(constB48) <=> v150(constB47))),
% 9.78/7.31 inference(modus_ponens,[status(thm)],[34979, 34978])).
% 9.78/7.31 tff(34981,plain,
% 9.78/7.31 (v152(constB48) <=> v150(constB47)),
% 9.78/7.31 inference(unit_resolution,[status(thm)],[34980, 7570, 373])).
% 9.78/7.31 tff(34982,plain,
% 9.78/7.31 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v153(VarCurr) | v155(VarCurr)))) | (v150(constB47) <=> (v153(constB47) | v155(constB47)))),
% 9.78/7.31 inference(quant_inst,[status(thm)],[])).
% 9.78/7.31 tff(34983,plain,
% 9.78/7.31 (v150(constB47) <=> (v153(constB47) | v155(constB47))),
% 9.78/7.31 inference(unit_resolution,[status(thm)],[34982, 387])).
% 9.78/7.31 tff(34984,plain,
% 9.78/7.31 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB47) <=> (~((~v130(constB47)) | (~v139(constB47)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB47) <=> (~((~v130(constB47)) | (~v139(constB47))))))),
% 9.78/7.31 inference(rewrite,[status(thm)],[])).
% 9.78/7.31 tff(34985,plain,
% 9.78/7.31 ((v155(constB47) <=> (~((~v139(constB47)) | (~v130(constB47))))) <=> (v155(constB47) <=> (~((~v130(constB47)) | (~v139(constB47)))))),
% 9.78/7.31 inference(rewrite,[status(thm)],[])).
% 9.78/7.31 tff(34986,plain,
% 9.78/7.31 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB47) <=> (~((~v139(constB47)) | (~v130(constB47)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB47) <=> (~((~v130(constB47)) | (~v139(constB47))))))),
% 9.78/7.31 inference(monotonicity,[status(thm)],[34985])).
% 9.78/7.31 tff(34987,plain,
% 9.78/7.31 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB47) <=> (~((~v139(constB47)) | (~v130(constB47)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB47) <=> (~((~v130(constB47)) | (~v139(constB47))))))),
% 9.78/7.31 inference(transitivity,[status(thm)],[34986, 34984])).
% 9.78/7.31 tff(34988,plain,
% 9.78/7.31 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB47) <=> (~((~v139(constB47)) | (~v130(constB47)))))),
% 9.78/7.31 inference(quant_inst,[status(thm)],[])).
% 9.78/7.31 tff(34989,plain,
% 9.78/7.31 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB47) <=> (~((~v130(constB47)) | (~v139(constB47)))))),
% 9.78/7.31 inference(modus_ponens,[status(thm)],[34988, 34987])).
% 9.78/7.31 tff(34990,plain,
% 9.78/7.31 (v155(constB47) <=> (~((~v130(constB47)) | (~v139(constB47))))),
% 9.78/7.31 inference(unit_resolution,[status(thm)],[34989, 447])).
% 9.78/7.31 tff(34991,plain,
% 9.78/7.31 (((~v130(constB47)) | (~v139(constB47))) | v139(constB47)),
% 9.78/7.31 inference(tautology,[status(thm)],[])).
% 9.78/7.31 tff(34992,plain,
% 9.78/7.31 ((~v130(constB47)) | (~v139(constB47))),
% 9.78/7.31 inference(unit_resolution,[status(thm)],[34991, 31313])).
% 9.78/7.31 tff(34993,plain,
% 9.78/7.31 ((~(v155(constB47) <=> (~((~v130(constB47)) | (~v139(constB47)))))) | (~v155(constB47)) | (~((~v130(constB47)) | (~v139(constB47))))),
% 9.78/7.31 inference(tautology,[status(thm)],[])).
% 9.78/7.31 tff(34994,plain,
% 9.78/7.31 (~v155(constB47)),
% 9.78/7.31 inference(unit_resolution,[status(thm)],[34993, 34992, 34990])).
% 9.78/7.31 tff(34995,plain,
% 9.78/7.31 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB47) <=> (~((~v132(constB47)) | (~v154(constB47)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB47) <=> (~((~v132(constB47)) | (~v154(constB47))))))),
% 9.78/7.31 inference(rewrite,[status(thm)],[])).
% 9.78/7.31 tff(34996,plain,
% 9.78/7.31 ((v153(constB47) <=> (~((~v154(constB47)) | (~v132(constB47))))) <=> (v153(constB47) <=> (~((~v132(constB47)) | (~v154(constB47)))))),
% 9.78/7.31 inference(rewrite,[status(thm)],[])).
% 9.78/7.31 tff(34997,plain,
% 9.78/7.31 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB47) <=> (~((~v154(constB47)) | (~v132(constB47)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB47) <=> (~((~v132(constB47)) | (~v154(constB47))))))),
% 9.78/7.31 inference(monotonicity,[status(thm)],[34996])).
% 9.78/7.31 tff(34998,plain,
% 9.78/7.31 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB47) <=> (~((~v154(constB47)) | (~v132(constB47)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB47) <=> (~((~v132(constB47)) | (~v154(constB47))))))),
% 9.78/7.31 inference(transitivity,[status(thm)],[34997, 34995])).
% 9.78/7.31 tff(34999,plain,
% 9.78/7.31 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB47) <=> (~((~v154(constB47)) | (~v132(constB47)))))),
% 9.78/7.31 inference(quant_inst,[status(thm)],[])).
% 9.78/7.31 tff(35000,plain,
% 9.78/7.31 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB47) <=> (~((~v132(constB47)) | (~v154(constB47)))))),
% 9.78/7.31 inference(modus_ponens,[status(thm)],[34999, 34998])).
% 9.78/7.31 tff(35001,plain,
% 9.78/7.31 (v153(constB47) <=> (~((~v132(constB47)) | (~v154(constB47))))),
% 9.78/7.31 inference(unit_resolution,[status(thm)],[35000, 399])).
% 9.78/7.31 tff(35002,plain,
% 9.78/7.31 ((~![VarNext: $i] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB47) <=> v137(constB47))),
% 9.78/7.31 inference(quant_inst,[status(thm)],[])).
% 9.78/7.31 tff(35003,plain,
% 9.78/7.31 (v132(constB47) <=> v137(constB47)),
% 9.78/7.31 inference(unit_resolution,[status(thm)],[35002, 558])).
% 9.78/7.31 tff(35004,plain,
% 9.78/7.31 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB46, constB47)) | (v137(constB47) <=> v135(constB46)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB46, constB47)) | (v137(constB47) <=> v135(constB46)))),
% 9.78/7.31 inference(rewrite,[status(thm)],[])).
% 9.78/7.31 tff(35005,plain,
% 9.78/7.31 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB46, constB47)) | (v137(constB47) <=> v135(constB46)))),
% 9.78/7.31 inference(quant_inst,[status(thm)],[])).
% 9.78/7.31 tff(35006,plain,
% 9.78/7.31 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB46, constB47)) | (v137(constB47) <=> v135(constB46))),
% 9.78/7.31 inference(modus_ponens,[status(thm)],[35005, 35004])).
% 9.78/7.31 tff(35007,plain,
% 9.78/7.31 (v137(constB47) <=> v135(constB46)),
% 9.78/7.31 inference(unit_resolution,[status(thm)],[35006, 7627, 570])).
% 9.78/7.31 tff(35008,plain,
% 9.78/7.31 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB46) <=> (v138(constB46) | v142(constB46)))),
% 9.78/7.31 inference(quant_inst,[status(thm)],[])).
% 9.78/7.31 tff(35009,plain,
% 9.78/7.31 (v135(constB46) <=> (v138(constB46) | v142(constB46))),
% 9.78/7.31 inference(unit_resolution,[status(thm)],[35008, 584])).
% 9.78/7.31 tff(35010,plain,
% 9.78/7.31 ((~![VarCurr: $i] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB46) <=> (~((~v143(constB46)) | (~v144(constB46)))))),
% 9.78/7.31 inference(quant_inst,[status(thm)],[])).
% 9.78/7.31 tff(35011,plain,
% 9.78/7.31 (v142(constB46) <=> (~((~v143(constB46)) | (~v144(constB46))))),
% 9.78/7.31 inference(unit_resolution,[status(thm)],[35010, 596])).
% 9.78/7.31 tff(35012,plain,
% 9.78/7.31 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB46) <=> (~((~v141(constB46)) | (~v145(constB46)))))),
% 9.78/7.31 inference(quant_inst,[status(thm)],[])).
% 9.78/7.31 tff(35013,plain,
% 9.78/7.31 (v144(constB46) <=> (~((~v141(constB46)) | (~v145(constB46))))),
% 9.78/7.31 inference(unit_resolution,[status(thm)],[35012, 608])).
% 9.78/7.31 tff(35014,plain,
% 9.78/7.31 (((~v141(constB46)) | (~v145(constB46))) | v141(constB46)),
% 9.78/7.31 inference(tautology,[status(thm)],[])).
% 9.78/7.31 tff(35015,plain,
% 9.78/7.31 ((~v141(constB46)) | (~v145(constB46))),
% 9.78/7.31 inference(unit_resolution,[status(thm)],[35014, 29136])).
% 9.78/7.31 tff(35016,plain,
% 9.78/7.31 ((~(v144(constB46) <=> (~((~v141(constB46)) | (~v145(constB46)))))) | (~v144(constB46)) | (~((~v141(constB46)) | (~v145(constB46))))),
% 9.78/7.31 inference(tautology,[status(thm)],[])).
% 9.78/7.31 tff(35017,plain,
% 9.78/7.31 ((~(v144(constB46) <=> (~((~v141(constB46)) | (~v145(constB46)))))) | (~v144(constB46))),
% 9.78/7.31 inference(unit_resolution,[status(thm)],[35016, 35015])).
% 9.78/7.31 tff(35018,plain,
% 9.78/7.31 (~v144(constB46)),
% 9.78/7.31 inference(unit_resolution,[status(thm)],[35017, 35013])).
% 9.78/7.31 tff(35019,plain,
% 9.78/7.31 (((~v143(constB46)) | (~v144(constB46))) | v144(constB46)),
% 9.78/7.31 inference(tautology,[status(thm)],[])).
% 9.78/7.31 tff(35020,plain,
% 9.78/7.31 ((~v143(constB46)) | (~v144(constB46))),
% 9.78/7.31 inference(unit_resolution,[status(thm)],[35019, 35018])).
% 9.78/7.31 tff(35021,plain,
% 9.78/7.31 ((~(v142(constB46) <=> (~((~v143(constB46)) | (~v144(constB46)))))) | (~v142(constB46)) | (~((~v143(constB46)) | (~v144(constB46))))),
% 9.78/7.31 inference(tautology,[status(thm)],[])).
% 9.78/7.31 tff(35022,plain,
% 9.78/7.31 (~v142(constB46)),
% 9.78/7.31 inference(unit_resolution,[status(thm)],[35021, 35020, 35011])).
% 9.78/7.31 tff(35023,plain,
% 9.78/7.31 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB46) <=> (~((~v132(constB46)) | (~v139(constB46)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB46) <=> (~((~v132(constB46)) | (~v139(constB46))))))),
% 9.78/7.31 inference(rewrite,[status(thm)],[])).
% 9.78/7.31 tff(35024,plain,
% 9.78/7.31 ((v138(constB46) <=> (~((~v139(constB46)) | (~v132(constB46))))) <=> (v138(constB46) <=> (~((~v132(constB46)) | (~v139(constB46)))))),
% 9.78/7.31 inference(rewrite,[status(thm)],[])).
% 9.78/7.31 tff(35025,plain,
% 9.78/7.31 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB46) <=> (~((~v139(constB46)) | (~v132(constB46)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB46) <=> (~((~v132(constB46)) | (~v139(constB46))))))),
% 9.78/7.31 inference(monotonicity,[status(thm)],[35024])).
% 9.78/7.31 tff(35026,plain,
% 9.78/7.31 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB46) <=> (~((~v139(constB46)) | (~v132(constB46)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB46) <=> (~((~v132(constB46)) | (~v139(constB46))))))),
% 9.78/7.31 inference(transitivity,[status(thm)],[35025, 35023])).
% 9.78/7.31 tff(35027,plain,
% 9.78/7.31 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB46) <=> (~((~v139(constB46)) | (~v132(constB46)))))),
% 9.78/7.31 inference(quant_inst,[status(thm)],[])).
% 9.78/7.31 tff(35028,plain,
% 9.78/7.31 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB46) <=> (~((~v132(constB46)) | (~v139(constB46)))))),
% 9.78/7.31 inference(modus_ponens,[status(thm)],[35027, 35026])).
% 9.78/7.31 tff(35029,plain,
% 9.78/7.31 (v138(constB46) <=> (~((~v132(constB46)) | (~v139(constB46))))),
% 9.78/7.31 inference(unit_resolution,[status(thm)],[35028, 644])).
% 9.78/7.31 tff(35030,plain,
% 9.78/7.31 ((~![VarNext: $i] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB46) <=> v137(constB46))),
% 9.78/7.31 inference(quant_inst,[status(thm)],[])).
% 9.78/7.31 tff(35031,plain,
% 9.78/7.31 (v132(constB46) <=> v137(constB46)),
% 9.78/7.31 inference(unit_resolution,[status(thm)],[35030, 558])).
% 9.78/7.31 tff(35032,plain,
% 9.78/7.31 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB45, constB46)) | (v137(constB46) <=> v135(constB45)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB45, constB46)) | (v137(constB46) <=> v135(constB45)))),
% 9.78/7.31 inference(rewrite,[status(thm)],[])).
% 9.78/7.31 tff(35033,plain,
% 9.78/7.31 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB45, constB46)) | (v137(constB46) <=> v135(constB45)))),
% 9.78/7.31 inference(quant_inst,[status(thm)],[])).
% 9.78/7.31 tff(35034,plain,
% 9.78/7.31 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB45, constB46)) | (v137(constB46) <=> v135(constB45))),
% 9.78/7.31 inference(modus_ponens,[status(thm)],[35033, 35032])).
% 9.78/7.31 tff(35035,plain,
% 9.78/7.31 (v137(constB46) <=> v135(constB45)),
% 9.78/7.31 inference(unit_resolution,[status(thm)],[35034, 7659, 570])).
% 9.78/7.31 tff(35036,plain,
% 9.78/7.31 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB45) <=> (v138(constB45) | v142(constB45)))),
% 9.78/7.31 inference(quant_inst,[status(thm)],[])).
% 9.78/7.31 tff(35037,plain,
% 9.78/7.31 (v135(constB45) <=> (v138(constB45) | v142(constB45))),
% 9.78/7.31 inference(unit_resolution,[status(thm)],[35036, 584])).
% 9.78/7.31 tff(35038,plain,
% 9.78/7.31 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB45) <=> (~((~v132(constB45)) | (~v139(constB45)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB45) <=> (~((~v132(constB45)) | (~v139(constB45))))))),
% 9.78/7.31 inference(rewrite,[status(thm)],[])).
% 9.78/7.31 tff(35039,plain,
% 9.78/7.31 ((v138(constB45) <=> (~((~v139(constB45)) | (~v132(constB45))))) <=> (v138(constB45) <=> (~((~v132(constB45)) | (~v139(constB45)))))),
% 9.78/7.31 inference(rewrite,[status(thm)],[])).
% 9.78/7.31 tff(35040,plain,
% 9.78/7.31 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB45) <=> (~((~v139(constB45)) | (~v132(constB45)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB45) <=> (~((~v132(constB45)) | (~v139(constB45))))))),
% 9.78/7.31 inference(monotonicity,[status(thm)],[35039])).
% 9.78/7.31 tff(35041,plain,
% 9.78/7.31 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB45) <=> (~((~v139(constB45)) | (~v132(constB45)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB45) <=> (~((~v132(constB45)) | (~v139(constB45))))))),
% 9.78/7.31 inference(transitivity,[status(thm)],[35040, 35038])).
% 9.78/7.31 tff(35042,plain,
% 9.78/7.31 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB45) <=> (~((~v139(constB45)) | (~v132(constB45)))))),
% 9.78/7.31 inference(quant_inst,[status(thm)],[])).
% 9.78/7.31 tff(35043,plain,
% 9.78/7.31 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB45) <=> (~((~v132(constB45)) | (~v139(constB45)))))),
% 9.78/7.31 inference(modus_ponens,[status(thm)],[35042, 35041])).
% 9.78/7.31 tff(35044,plain,
% 9.78/7.31 (v138(constB45) <=> (~((~v132(constB45)) | (~v139(constB45))))),
% 9.78/7.31 inference(unit_resolution,[status(thm)],[35043, 644])).
% 9.78/7.31 tff(35045,plain,
% 9.78/7.31 (((~v132(constB45)) | (~v139(constB45))) | v139(constB45)),
% 9.78/7.31 inference(tautology,[status(thm)],[])).
% 9.78/7.31 tff(35046,plain,
% 9.78/7.31 ((~v132(constB45)) | (~v139(constB45))),
% 9.78/7.31 inference(unit_resolution,[status(thm)],[35045, 29229])).
% 9.78/7.31 tff(35047,plain,
% 9.78/7.31 ((~(v138(constB45) <=> (~((~v132(constB45)) | (~v139(constB45)))))) | (~v138(constB45)) | (~((~v132(constB45)) | (~v139(constB45))))),
% 9.78/7.31 inference(tautology,[status(thm)],[])).
% 9.78/7.31 tff(35048,plain,
% 9.78/7.31 (~v138(constB45)),
% 9.78/7.31 inference(unit_resolution,[status(thm)],[35047, 35046, 35044])).
% 9.78/7.31 tff(35049,plain,
% 9.78/7.31 ((~![VarCurr: $i] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB45) <=> (~((~v143(constB45)) | (~v144(constB45)))))),
% 9.78/7.31 inference(quant_inst,[status(thm)],[])).
% 9.78/7.31 tff(35050,plain,
% 9.78/7.31 (v142(constB45) <=> (~((~v143(constB45)) | (~v144(constB45))))),
% 9.78/7.31 inference(unit_resolution,[status(thm)],[35049, 596])).
% 9.78/7.31 tff(35051,plain,
% 9.78/7.31 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB45) <=> (~((~v141(constB45)) | (~v145(constB45)))))),
% 9.78/7.31 inference(quant_inst,[status(thm)],[])).
% 9.78/7.31 tff(35052,plain,
% 9.78/7.31 (v144(constB45) <=> (~((~v141(constB45)) | (~v145(constB45))))),
% 9.78/7.31 inference(unit_resolution,[status(thm)],[35051, 608])).
% 9.78/7.31 tff(35053,plain,
% 9.78/7.31 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB45) <=> (~(v84(constB45, bitIndex2) | v84(constB45, bitIndex1) | (~v84(constB45, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB45) <=> (~(v84(constB45, bitIndex2) | v84(constB45, bitIndex1) | (~v84(constB45, bitIndex0))))))),
% 9.78/7.31 inference(rewrite,[status(thm)],[])).
% 9.78/7.31 tff(35054,plain,
% 9.78/7.31 ((v145(constB45) <=> (~(v84(constB45, bitIndex1) | v84(constB45, bitIndex2) | (~v84(constB45, bitIndex0))))) <=> (v145(constB45) <=> (~(v84(constB45, bitIndex2) | v84(constB45, bitIndex1) | (~v84(constB45, bitIndex0)))))),
% 9.78/7.31 inference(rewrite,[status(thm)],[])).
% 9.78/7.31 tff(35055,plain,
% 9.78/7.31 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB45) <=> (~(v84(constB45, bitIndex1) | v84(constB45, bitIndex2) | (~v84(constB45, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB45) <=> (~(v84(constB45, bitIndex2) | v84(constB45, bitIndex1) | (~v84(constB45, bitIndex0))))))),
% 9.78/7.31 inference(monotonicity,[status(thm)],[35054])).
% 9.78/7.31 tff(35056,plain,
% 9.78/7.31 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB45) <=> (~(v84(constB45, bitIndex1) | v84(constB45, bitIndex2) | (~v84(constB45, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB45) <=> (~(v84(constB45, bitIndex2) | v84(constB45, bitIndex1) | (~v84(constB45, bitIndex0))))))),
% 9.78/7.31 inference(transitivity,[status(thm)],[35055, 35053])).
% 9.78/7.31 tff(35057,plain,
% 9.78/7.31 ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB45) <=> (~(v84(constB45, bitIndex1) | v84(constB45, bitIndex2) | (~v84(constB45, bitIndex0)))))),
% 9.78/7.31 inference(quant_inst,[status(thm)],[])).
% 9.78/7.31 tff(35058,plain,
% 9.78/7.31 ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB45) <=> (~(v84(constB45, bitIndex2) | v84(constB45, bitIndex1) | (~v84(constB45, bitIndex0)))))),
% 9.78/7.31 inference(modus_ponens,[status(thm)],[35057, 35056])).
% 9.78/7.31 tff(35059,plain,
% 9.78/7.31 (v145(constB45) <=> (~(v84(constB45, bitIndex2) | v84(constB45, bitIndex1) | (~v84(constB45, bitIndex0))))),
% 9.78/7.31 inference(unit_resolution,[status(thm)],[35058, 755])).
% 9.78/7.31 tff(35060,plain,
% 9.78/7.31 ((v84(constB45, bitIndex2) | v84(constB45, bitIndex1) | (~v84(constB45, bitIndex0))) | (~v84(constB45, bitIndex2))),
% 9.78/7.31 inference(tautology,[status(thm)],[])).
% 9.78/7.31 tff(35061,plain,
% 9.78/7.31 (v84(constB45, bitIndex2) | v84(constB45, bitIndex1) | (~v84(constB45, bitIndex0))),
% 9.78/7.31 inference(unit_resolution,[status(thm)],[35060, 13507])).
% 9.78/7.31 tff(35062,plain,
% 9.78/7.31 ((~(v145(constB45) <=> (~(v84(constB45, bitIndex2) | v84(constB45, bitIndex1) | (~v84(constB45, bitIndex0)))))) | (~v145(constB45)) | (~(v84(constB45, bitIndex2) | v84(constB45, bitIndex1) | (~v84(constB45, bitIndex0))))),
% 9.78/7.31 inference(tautology,[status(thm)],[])).
% 9.78/7.31 tff(35063,plain,
% 9.78/7.31 (~v145(constB45)),
% 9.78/7.31 inference(unit_resolution,[status(thm)],[35062, 35061, 35059])).
% 9.78/7.31 tff(35064,plain,
% 9.78/7.31 (((~v141(constB45)) | (~v145(constB45))) | v145(constB45)),
% 9.78/7.31 inference(tautology,[status(thm)],[])).
% 9.78/7.31 tff(35065,plain,
% 9.78/7.31 ((~v141(constB45)) | (~v145(constB45))),
% 9.78/7.31 inference(unit_resolution,[status(thm)],[35064, 35063])).
% 9.78/7.31 tff(35066,plain,
% 9.78/7.31 ((~(v144(constB45) <=> (~((~v141(constB45)) | (~v145(constB45)))))) | (~v144(constB45)) | (~((~v141(constB45)) | (~v145(constB45))))),
% 9.78/7.31 inference(tautology,[status(thm)],[])).
% 9.78/7.31 tff(35067,plain,
% 9.78/7.31 (~v144(constB45)),
% 9.78/7.31 inference(unit_resolution,[status(thm)],[35066, 35065, 35052])).
% 9.78/7.31 tff(35068,plain,
% 9.78/7.31 (((~v143(constB45)) | (~v144(constB45))) | v144(constB45)),
% 9.78/7.31 inference(tautology,[status(thm)],[])).
% 9.78/7.31 tff(35069,plain,
% 9.78/7.31 ((~v143(constB45)) | (~v144(constB45))),
% 9.78/7.31 inference(unit_resolution,[status(thm)],[35068, 35067])).
% 9.78/7.31 tff(35070,plain,
% 9.78/7.31 ((~(v142(constB45) <=> (~((~v143(constB45)) | (~v144(constB45)))))) | (~v142(constB45)) | (~((~v143(constB45)) | (~v144(constB45))))),
% 9.78/7.31 inference(tautology,[status(thm)],[])).
% 9.78/7.31 tff(35071,plain,
% 9.78/7.31 (~v142(constB45)),
% 9.78/7.31 inference(unit_resolution,[status(thm)],[35070, 35069, 35050])).
% 9.78/7.31 tff(35072,plain,
% 9.78/7.31 ((~(v138(constB45) | v142(constB45))) | v138(constB45) | v142(constB45)),
% 9.78/7.31 inference(tautology,[status(thm)],[])).
% 9.78/7.31 tff(35073,plain,
% 9.78/7.31 (~(v138(constB45) | v142(constB45))),
% 9.78/7.31 inference(unit_resolution,[status(thm)],[35072, 35071, 35048])).
% 9.78/7.31 tff(35074,plain,
% 9.78/7.31 ((~(v135(constB45) <=> (v138(constB45) | v142(constB45)))) | (~v135(constB45)) | (v138(constB45) | v142(constB45))),
% 9.78/7.31 inference(tautology,[status(thm)],[])).
% 9.78/7.31 tff(35075,plain,
% 9.78/7.31 (~v135(constB45)),
% 9.78/7.31 inference(unit_resolution,[status(thm)],[35074, 35073, 35037])).
% 9.78/7.31 tff(35076,plain,
% 9.78/7.31 ((~(v137(constB46) <=> v135(constB45))) | (~v137(constB46)) | v135(constB45)),
% 9.78/7.31 inference(tautology,[status(thm)],[])).
% 9.78/7.31 tff(35077,plain,
% 9.78/7.31 (~v137(constB46)),
% 9.78/7.31 inference(unit_resolution,[status(thm)],[35076, 35075, 35035])).
% 9.78/7.31 tff(35078,plain,
% 9.78/7.31 ((~(v132(constB46) <=> v137(constB46))) | (~v132(constB46)) | v137(constB46)),
% 9.78/7.31 inference(tautology,[status(thm)],[])).
% 9.78/7.31 tff(35079,plain,
% 9.78/7.31 (~v132(constB46)),
% 9.78/7.31 inference(unit_resolution,[status(thm)],[35078, 35077, 35031])).
% 9.78/7.31 tff(35080,plain,
% 9.78/7.31 (((~v132(constB46)) | (~v139(constB46))) | v132(constB46)),
% 9.78/7.31 inference(tautology,[status(thm)],[])).
% 9.78/7.31 tff(35081,plain,
% 9.78/7.31 ((~v132(constB46)) | (~v139(constB46))),
% 9.78/7.31 inference(unit_resolution,[status(thm)],[35080, 35079])).
% 9.78/7.31 tff(35082,plain,
% 9.78/7.31 ((~(v138(constB46) <=> (~((~v132(constB46)) | (~v139(constB46)))))) | (~v138(constB46)) | (~((~v132(constB46)) | (~v139(constB46))))),
% 9.78/7.31 inference(tautology,[status(thm)],[])).
% 9.78/7.31 tff(35083,plain,
% 9.78/7.31 (~v138(constB46)),
% 9.78/7.31 inference(unit_resolution,[status(thm)],[35082, 35081, 35029])).
% 9.78/7.31 tff(35084,plain,
% 9.78/7.31 ((~(v138(constB46) | v142(constB46))) | v138(constB46) | v142(constB46)),
% 9.78/7.31 inference(tautology,[status(thm)],[])).
% 9.78/7.31 tff(35085,plain,
% 9.78/7.31 (~(v138(constB46) | v142(constB46))),
% 9.78/7.31 inference(unit_resolution,[status(thm)],[35084, 35083, 35022])).
% 9.78/7.31 tff(35086,plain,
% 9.78/7.31 ((~(v135(constB46) <=> (v138(constB46) | v142(constB46)))) | (~v135(constB46)) | (v138(constB46) | v142(constB46))),
% 9.78/7.31 inference(tautology,[status(thm)],[])).
% 9.78/7.31 tff(35087,plain,
% 9.78/7.31 (~v135(constB46)),
% 9.78/7.31 inference(unit_resolution,[status(thm)],[35086, 35085, 35009])).
% 9.78/7.31 tff(35088,plain,
% 9.78/7.31 ((~(v137(constB47) <=> v135(constB46))) | (~v137(constB47)) | v135(constB46)),
% 9.78/7.31 inference(tautology,[status(thm)],[])).
% 9.78/7.31 tff(35089,plain,
% 9.78/7.31 (~v137(constB47)),
% 9.78/7.31 inference(unit_resolution,[status(thm)],[35088, 35087, 35007])).
% 9.78/7.31 tff(35090,plain,
% 9.78/7.31 ((~(v132(constB47) <=> v137(constB47))) | (~v132(constB47)) | v137(constB47)),
% 9.78/7.31 inference(tautology,[status(thm)],[])).
% 9.78/7.31 tff(35091,plain,
% 9.78/7.31 (~v132(constB47)),
% 9.78/7.31 inference(unit_resolution,[status(thm)],[35090, 35089, 35003])).
% 9.78/7.31 tff(35092,plain,
% 9.78/7.31 (((~v132(constB47)) | (~v154(constB47))) | v132(constB47)),
% 9.78/7.31 inference(tautology,[status(thm)],[])).
% 9.78/7.31 tff(35093,plain,
% 9.78/7.31 ((~v132(constB47)) | (~v154(constB47))),
% 9.78/7.31 inference(unit_resolution,[status(thm)],[35092, 35091])).
% 9.78/7.31 tff(35094,plain,
% 9.78/7.31 ((~(v153(constB47) <=> (~((~v132(constB47)) | (~v154(constB47)))))) | (~v153(constB47)) | (~((~v132(constB47)) | (~v154(constB47))))),
% 9.78/7.31 inference(tautology,[status(thm)],[])).
% 9.78/7.31 tff(35095,plain,
% 9.78/7.31 (~v153(constB47)),
% 9.78/7.31 inference(unit_resolution,[status(thm)],[35094, 35093, 35001])).
% 9.78/7.31 tff(35096,plain,
% 9.78/7.31 ((~(v153(constB47) | v155(constB47))) | v153(constB47) | v155(constB47)),
% 9.78/7.31 inference(tautology,[status(thm)],[])).
% 9.78/7.31 tff(35097,plain,
% 9.78/7.31 (~(v153(constB47) | v155(constB47))),
% 9.78/7.31 inference(unit_resolution,[status(thm)],[35096, 35095, 34994])).
% 9.78/7.31 tff(35098,plain,
% 9.78/7.31 ((~(v150(constB47) <=> (v153(constB47) | v155(constB47)))) | (~v150(constB47)) | (v153(constB47) | v155(constB47))),
% 9.78/7.31 inference(tautology,[status(thm)],[])).
% 9.78/7.31 tff(35099,plain,
% 9.78/7.31 (~v150(constB47)),
% 9.78/7.31 inference(unit_resolution,[status(thm)],[35098, 35097, 34983])).
% 9.78/7.31 tff(35100,plain,
% 9.78/7.31 ((~(v152(constB48) <=> v150(constB47))) | (~v152(constB48)) | v150(constB47)),
% 9.78/7.31 inference(tautology,[status(thm)],[])).
% 9.78/7.31 tff(35101,plain,
% 9.78/7.31 (~v152(constB48)),
% 9.78/7.31 inference(unit_resolution,[status(thm)],[35100, 35099, 34981])).
% 9.78/7.31 tff(35102,plain,
% 9.78/7.31 ((~(v130(constB48) <=> v152(constB48))) | (~v130(constB48)) | v152(constB48)),
% 9.78/7.31 inference(tautology,[status(thm)],[])).
% 9.78/7.31 tff(35103,plain,
% 9.78/7.31 (~v130(constB48)),
% 9.78/7.31 inference(unit_resolution,[status(thm)],[35102, 35101, 34977])).
% 9.78/7.31 tff(35104,plain,
% 9.78/7.31 (((~v130(constB48)) | (~v139(constB48))) | v130(constB48)),
% 9.78/7.31 inference(tautology,[status(thm)],[])).
% 9.78/7.31 tff(35105,plain,
% 9.78/7.31 ((~v130(constB48)) | (~v139(constB48))),
% 9.78/7.31 inference(unit_resolution,[status(thm)],[35104, 35103])).
% 9.78/7.31 tff(35106,plain,
% 9.78/7.31 ((~(v155(constB48) <=> (~((~v130(constB48)) | (~v139(constB48)))))) | (~v155(constB48)) | (~((~v130(constB48)) | (~v139(constB48))))),
% 9.78/7.31 inference(tautology,[status(thm)],[])).
% 9.78/7.31 tff(35107,plain,
% 9.78/7.31 (~v155(constB48)),
% 9.78/7.31 inference(unit_resolution,[status(thm)],[35106, 35105, 34975])).
% 9.78/7.31 tff(35108,plain,
% 9.78/7.31 ((~(v153(constB48) | v155(constB48))) | v153(constB48) | v155(constB48)),
% 9.78/7.31 inference(tautology,[status(thm)],[])).
% 9.78/7.31 tff(35109,plain,
% 9.78/7.31 (~(v153(constB48) | v155(constB48))),
% 9.78/7.31 inference(unit_resolution,[status(thm)],[35108, 35107, 34968])).
% 9.78/7.31 tff(35110,plain,
% 9.78/7.31 ((~(v150(constB48) <=> (v153(constB48) | v155(constB48)))) | (~v150(constB48)) | (v153(constB48) | v155(constB48))),
% 9.78/7.31 inference(tautology,[status(thm)],[])).
% 9.78/7.31 tff(35111,plain,
% 9.78/7.31 (~v150(constB48)),
% 9.78/7.31 inference(unit_resolution,[status(thm)],[35110, 35109, 34957])).
% 9.78/7.31 tff(35112,plain,
% 9.78/7.31 ((~(v152(constB49) <=> v150(constB48))) | (~v152(constB49)) | v150(constB48)),
% 9.78/7.31 inference(tautology,[status(thm)],[])).
% 9.78/7.31 tff(35113,plain,
% 9.78/7.31 (~v152(constB49)),
% 9.78/7.31 inference(unit_resolution,[status(thm)],[35112, 35111, 34955])).
% 9.78/7.31 tff(35114,plain,
% 9.78/7.31 ((~(v130(constB49) <=> v152(constB49))) | (~v130(constB49)) | v152(constB49)),
% 9.78/7.31 inference(tautology,[status(thm)],[])).
% 9.78/7.31 tff(35115,plain,
% 9.78/7.31 (~v130(constB49)),
% 9.78/7.31 inference(unit_resolution,[status(thm)],[35114, 35113, 34951])).
% 9.78/7.31 tff(35116,plain,
% 9.78/7.31 (((~v130(constB49)) | (~v154(constB49))) | v130(constB49)),
% 9.78/7.31 inference(tautology,[status(thm)],[])).
% 9.78/7.31 tff(35117,plain,
% 9.78/7.31 ((~v130(constB49)) | (~v154(constB49))),
% 9.78/7.31 inference(unit_resolution,[status(thm)],[35116, 35115])).
% 9.78/7.31 tff(35118,plain,
% 9.78/7.31 ((~(v164(constB49) <=> (~((~v130(constB49)) | (~v154(constB49)))))) | (~v164(constB49)) | (~((~v130(constB49)) | (~v154(constB49))))),
% 9.78/7.31 inference(tautology,[status(thm)],[])).
% 9.78/7.31 tff(35119,plain,
% 9.78/7.31 (~v164(constB49)),
% 9.78/7.31 inference(unit_resolution,[status(thm)],[35118, 35117, 34949])).
% 9.78/7.31 tff(35120,plain,
% 9.78/7.31 ((~(v163(constB49) | v164(constB49))) | v163(constB49) | v164(constB49)),
% 9.78/7.31 inference(tautology,[status(thm)],[])).
% 9.78/7.31 tff(35121,plain,
% 9.78/7.31 (~(v163(constB49) | v164(constB49))),
% 9.78/7.31 inference(unit_resolution,[status(thm)],[35120, 35119, 34942])).
% 9.78/7.31 tff(35122,plain,
% 9.78/7.31 ((~(v160(constB49) <=> (v163(constB49) | v164(constB49)))) | (~v160(constB49)) | (v163(constB49) | v164(constB49))),
% 9.78/7.31 inference(tautology,[status(thm)],[])).
% 9.78/7.31 tff(35123,plain,
% 9.78/7.31 (~v160(constB49)),
% 9.78/7.31 inference(unit_resolution,[status(thm)],[35122, 35121, 34931])).
% 9.78/7.31 tff(35124,plain,
% 9.78/7.31 ((~(v162(constB50) <=> v160(constB49))) | (~v162(constB50)) | v160(constB49)),
% 9.78/7.31 inference(tautology,[status(thm)],[])).
% 9.78/7.31 tff(35125,plain,
% 9.78/7.31 (~v162(constB50)),
% 9.78/7.31 inference(unit_resolution,[status(thm)],[35124, 35123, 34929])).
% 9.78/7.31 tff(35126,plain,
% 9.78/7.31 ((~(v128(constB50) <=> v162(constB50))) | (~v128(constB50)) | v162(constB50)),
% 9.78/7.31 inference(tautology,[status(thm)],[])).
% 9.78/7.31 tff(35127,plain,
% 9.78/7.31 (~v128(constB50)),
% 9.78/7.31 inference(unit_resolution,[status(thm)],[35126, 35125, 34925])).
% 9.78/7.31 tff(35128,plain,
% 9.78/7.31 (((~v128(constB50)) | (~v139(constB50))) | v128(constB50)),
% 9.78/7.31 inference(tautology,[status(thm)],[])).
% 9.78/7.31 tff(35129,plain,
% 9.78/7.31 ((~v128(constB50)) | (~v139(constB50))),
% 9.78/7.31 inference(unit_resolution,[status(thm)],[35128, 35127])).
% 9.78/7.31 tff(35130,plain,
% 9.78/7.31 ((~(v163(constB50) <=> (~((~v128(constB50)) | (~v139(constB50)))))) | (~v163(constB50)) | (~((~v128(constB50)) | (~v139(constB50))))),
% 9.78/7.31 inference(tautology,[status(thm)],[])).
% 9.78/7.31 tff(35131,plain,
% 9.78/7.31 (~v163(constB50)),
% 9.78/7.31 inference(unit_resolution,[status(thm)],[35130, 35129, 34923])).
% 9.78/7.31 tff(35132,plain,
% 9.78/7.31 ((~(v163(constB50) | v164(constB50))) | v163(constB50) | v164(constB50)),
% 9.78/7.31 inference(tautology,[status(thm)],[])).
% 9.78/7.31 tff(35133,plain,
% 9.78/7.31 (~(v163(constB50) | v164(constB50))),
% 9.78/7.31 inference(unit_resolution,[status(thm)],[35132, 35131, 34916])).
% 9.78/7.31 tff(35134,plain,
% 9.78/7.31 ((~(v160(constB50) <=> (v163(constB50) | v164(constB50)))) | (~v160(constB50)) | (v163(constB50) | v164(constB50))),
% 9.78/7.31 inference(tautology,[status(thm)],[])).
% 9.78/7.31 tff(35135,plain,
% 9.78/7.31 (~v160(constB50)),
% 9.78/7.31 inference(unit_resolution,[status(thm)],[35134, 35133, 34893])).
% 9.78/7.31 tff(35136,plain,
% 9.78/7.31 ((~(v162(constB51) <=> v160(constB50))) | (~v162(constB51)) | v160(constB50)),
% 9.78/7.31 inference(tautology,[status(thm)],[])).
% 9.78/7.31 tff(35137,plain,
% 9.78/7.31 (~v162(constB51)),
% 9.78/7.31 inference(unit_resolution,[status(thm)],[35136, 35135, 34891])).
% 9.78/7.31 tff(35138,plain,
% 9.78/7.31 ($false),
% 9.78/7.31 inference(unit_resolution,[status(thm)],[35137, 34887])).
% 9.78/7.31 tff(35139,plain,(~(constB51 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.78/7.31 tff(35140,assumption,(constB147 = VarCurr!0), introduced(assumption)).
% 9.78/7.31 tff(35141,plain,
% 9.78/7.31 (v162(constB147) <=> v162(VarCurr!0)),
% 9.78/7.31 inference(monotonicity,[status(thm)],[35140])).
% 9.78/7.31 tff(35142,plain,
% 9.78/7.31 (v162(VarCurr!0) <=> v162(constB147)),
% 9.78/7.31 inference(symmetry,[status(thm)],[35141])).
% 9.78/7.31 tff(35143,plain,
% 9.78/7.31 (v162(constB147)),
% 9.78/7.31 inference(modus_ponens,[status(thm)],[59, 35142])).
% 9.78/7.31 tff(35144,plain,
% 9.78/7.31 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB146, constB147)) | (v162(constB147) <=> v160(constB146)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB146, constB147)) | (v162(constB147) <=> v160(constB146)))),
% 9.78/7.31 inference(rewrite,[status(thm)],[])).
% 9.78/7.31 tff(35145,plain,
% 9.78/7.31 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB146, constB147)) | (v162(constB147) <=> v160(constB146)))),
% 9.78/7.31 inference(quant_inst,[status(thm)],[])).
% 9.78/7.31 tff(35146,plain,
% 9.78/7.31 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB146, constB147)) | (v162(constB147) <=> v160(constB146))),
% 9.78/7.31 inference(modus_ponens,[status(thm)],[35145, 35144])).
% 9.78/7.31 tff(35147,plain,
% 9.78/7.31 (v162(constB147) <=> v160(constB146)),
% 9.78/7.31 inference(unit_resolution,[status(thm)],[35146, 3075, 70])).
% 9.78/7.31 tff(35148,plain,
% 9.78/7.31 ((~![VarCurr: $i] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB146) <=> (v163(constB146) | v164(constB146)))),
% 9.78/7.31 inference(quant_inst,[status(thm)],[])).
% 9.78/7.31 tff(35149,plain,
% 9.78/7.32 (v160(constB146) <=> (v163(constB146) | v164(constB146))),
% 9.78/7.32 inference(unit_resolution,[status(thm)],[35148, 84])).
% 9.78/7.32 tff(35150,plain,
% 9.78/7.32 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB146) <=> (~((~v130(constB146)) | (~v154(constB146)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB146) <=> (~((~v130(constB146)) | (~v154(constB146))))))),
% 9.78/7.32 inference(rewrite,[status(thm)],[])).
% 9.78/7.32 tff(35151,plain,
% 9.78/7.32 ((v164(constB146) <=> (~((~v154(constB146)) | (~v130(constB146))))) <=> (v164(constB146) <=> (~((~v130(constB146)) | (~v154(constB146)))))),
% 9.78/7.32 inference(rewrite,[status(thm)],[])).
% 9.78/7.32 tff(35152,plain,
% 9.78/7.32 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB146) <=> (~((~v154(constB146)) | (~v130(constB146)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB146) <=> (~((~v130(constB146)) | (~v154(constB146))))))),
% 9.78/7.32 inference(monotonicity,[status(thm)],[35151])).
% 9.78/7.32 tff(35153,plain,
% 9.78/7.32 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB146) <=> (~((~v154(constB146)) | (~v130(constB146)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB146) <=> (~((~v130(constB146)) | (~v154(constB146))))))),
% 9.78/7.32 inference(transitivity,[status(thm)],[35152, 35150])).
% 9.78/7.32 tff(35154,plain,
% 9.78/7.32 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB146) <=> (~((~v154(constB146)) | (~v130(constB146)))))),
% 9.78/7.32 inference(quant_inst,[status(thm)],[])).
% 9.78/7.32 tff(35155,plain,
% 9.78/7.32 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB146) <=> (~((~v130(constB146)) | (~v154(constB146)))))),
% 9.78/7.32 inference(modus_ponens,[status(thm)],[35154, 35153])).
% 9.78/7.32 tff(35156,plain,
% 9.78/7.32 (v164(constB146) <=> (~((~v130(constB146)) | (~v154(constB146))))),
% 9.78/7.32 inference(unit_resolution,[status(thm)],[35155, 96])).
% 9.78/7.32 tff(35157,plain,
% 9.78/7.32 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB146) <=> (~((~v141(constB146)) | (~v143(constB146)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB146) <=> (~((~v141(constB146)) | (~v143(constB146))))))),
% 9.78/7.32 inference(rewrite,[status(thm)],[])).
% 9.78/7.32 tff(35158,plain,
% 9.78/7.32 ((v154(constB146) <=> (~((~v143(constB146)) | (~v141(constB146))))) <=> (v154(constB146) <=> (~((~v141(constB146)) | (~v143(constB146)))))),
% 9.78/7.32 inference(rewrite,[status(thm)],[])).
% 9.78/7.32 tff(35159,plain,
% 9.78/7.32 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB146) <=> (~((~v143(constB146)) | (~v141(constB146)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB146) <=> (~((~v141(constB146)) | (~v143(constB146))))))),
% 9.78/7.32 inference(monotonicity,[status(thm)],[35158])).
% 9.78/7.32 tff(35160,plain,
% 9.78/7.32 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB146) <=> (~((~v143(constB146)) | (~v141(constB146)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB146) <=> (~((~v141(constB146)) | (~v143(constB146))))))),
% 9.78/7.32 inference(transitivity,[status(thm)],[35159, 35157])).
% 9.78/7.32 tff(35161,plain,
% 9.78/7.32 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB146) <=> (~((~v143(constB146)) | (~v141(constB146)))))),
% 9.78/7.32 inference(quant_inst,[status(thm)],[])).
% 9.78/7.32 tff(35162,plain,
% 9.78/7.32 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB146) <=> (~((~v141(constB146)) | (~v143(constB146)))))),
% 9.78/7.32 inference(modus_ponens,[status(thm)],[35161, 35160])).
% 9.78/7.32 tff(35163,plain,
% 9.78/7.32 (v154(constB146) <=> (~((~v141(constB146)) | (~v143(constB146))))),
% 9.78/7.32 inference(unit_resolution,[status(thm)],[35162, 113])).
% 9.78/7.32 tff(35164,plain,
% 9.78/7.32 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB146) <=> (~((~v39(constB146)) | (~v9(constB146)))))),
% 9.78/7.32 inference(quant_inst,[status(thm)],[])).
% 9.78/7.32 tff(35165,plain,
% 9.78/7.32 (v141(constB146) <=> (~((~v39(constB146)) | (~v9(constB146))))),
% 9.78/7.32 inference(unit_resolution,[status(thm)],[35164, 130])).
% 9.78/7.32 tff(35166,plain,
% 9.78/7.32 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB146)) <=> v1(constB146))),
% 9.78/7.32 inference(quant_inst,[status(thm)],[])).
% 9.78/7.32 tff(35167,plain,
% 9.78/7.32 ((~v39(constB146)) <=> v1(constB146)),
% 9.78/7.32 inference(unit_resolution,[status(thm)],[35166, 139])).
% 9.78/7.32 tff(35168,plain,
% 9.78/7.32 ((~((~v39(constB146)) <=> v1(constB146))) | (~v39(constB146)) | (~v1(constB146))),
% 9.78/7.32 inference(tautology,[status(thm)],[])).
% 9.78/7.32 tff(35169,plain,
% 9.78/7.32 ((~((~v39(constB146)) <=> v1(constB146))) | (~v39(constB146))),
% 9.78/7.32 inference(unit_resolution,[status(thm)],[35168, 3137])).
% 9.78/7.32 tff(35170,plain,
% 9.78/7.32 (~v39(constB146)),
% 9.78/7.32 inference(unit_resolution,[status(thm)],[35169, 35167])).
% 9.78/7.32 tff(35171,plain,
% 9.78/7.32 (((~v39(constB146)) | (~v9(constB146))) | v39(constB146)),
% 9.78/7.32 inference(tautology,[status(thm)],[])).
% 9.78/7.32 tff(35172,plain,
% 9.78/7.32 ((~v39(constB146)) | (~v9(constB146))),
% 9.78/7.32 inference(unit_resolution,[status(thm)],[35171, 35170])).
% 9.78/7.32 tff(35173,plain,
% 9.78/7.32 ((~(v141(constB146) <=> (~((~v39(constB146)) | (~v9(constB146)))))) | (~v141(constB146)) | (~((~v39(constB146)) | (~v9(constB146))))),
% 9.78/7.32 inference(tautology,[status(thm)],[])).
% 9.78/7.32 tff(35174,plain,
% 9.78/7.32 ((~(v141(constB146) <=> (~((~v39(constB146)) | (~v9(constB146)))))) | (~v141(constB146))),
% 9.78/7.32 inference(unit_resolution,[status(thm)],[35173, 35172])).
% 9.78/7.32 tff(35175,plain,
% 9.78/7.32 (~v141(constB146)),
% 9.78/7.32 inference(unit_resolution,[status(thm)],[35174, 35165])).
% 9.78/7.32 tff(35176,plain,
% 9.78/7.32 (((~v141(constB146)) | (~v143(constB146))) | v141(constB146)),
% 9.78/7.32 inference(tautology,[status(thm)],[])).
% 9.78/7.32 tff(35177,plain,
% 9.78/7.32 ((~v141(constB146)) | (~v143(constB146))),
% 9.78/7.32 inference(unit_resolution,[status(thm)],[35176, 35175])).
% 9.78/7.32 tff(35178,plain,
% 9.78/7.32 ((~(v154(constB146) <=> (~((~v141(constB146)) | (~v143(constB146)))))) | (~v154(constB146)) | (~((~v141(constB146)) | (~v143(constB146))))),
% 9.78/7.32 inference(tautology,[status(thm)],[])).
% 9.78/7.32 tff(35179,plain,
% 9.78/7.32 ((~(v154(constB146) <=> (~((~v141(constB146)) | (~v143(constB146)))))) | (~v154(constB146))),
% 9.78/7.32 inference(unit_resolution,[status(thm)],[35178, 35177])).
% 9.78/7.32 tff(35180,plain,
% 9.78/7.32 (~v154(constB146)),
% 9.78/7.32 inference(unit_resolution,[status(thm)],[35179, 35163])).
% 9.78/7.32 tff(35181,plain,
% 9.78/7.32 (((~v130(constB146)) | (~v154(constB146))) | v154(constB146)),
% 9.78/7.32 inference(tautology,[status(thm)],[])).
% 9.78/7.32 tff(35182,plain,
% 9.78/7.32 ((~v130(constB146)) | (~v154(constB146))),
% 9.78/7.32 inference(unit_resolution,[status(thm)],[35181, 35180])).
% 9.78/7.32 tff(35183,plain,
% 9.78/7.32 ((~(v164(constB146) <=> (~((~v130(constB146)) | (~v154(constB146)))))) | (~v164(constB146)) | (~((~v130(constB146)) | (~v154(constB146))))),
% 9.78/7.32 inference(tautology,[status(thm)],[])).
% 9.78/7.32 tff(35184,plain,
% 9.78/7.32 (~v164(constB146)),
% 9.78/7.32 inference(unit_resolution,[status(thm)],[35183, 35182, 35156])).
% 9.78/7.32 tff(35185,plain,
% 9.78/7.32 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB146) <=> (~((~v128(constB146)) | (~v139(constB146)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB146) <=> (~((~v128(constB146)) | (~v139(constB146))))))),
% 9.78/7.32 inference(rewrite,[status(thm)],[])).
% 9.78/7.32 tff(35186,plain,
% 9.78/7.32 ((v163(constB146) <=> (~((~v139(constB146)) | (~v128(constB146))))) <=> (v163(constB146) <=> (~((~v128(constB146)) | (~v139(constB146)))))),
% 9.78/7.32 inference(rewrite,[status(thm)],[])).
% 9.78/7.32 tff(35187,plain,
% 9.78/7.32 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB146) <=> (~((~v139(constB146)) | (~v128(constB146)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB146) <=> (~((~v128(constB146)) | (~v139(constB146))))))),
% 9.78/7.32 inference(monotonicity,[status(thm)],[35186])).
% 9.78/7.32 tff(35188,plain,
% 9.78/7.32 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB146) <=> (~((~v139(constB146)) | (~v128(constB146)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB146) <=> (~((~v128(constB146)) | (~v139(constB146))))))),
% 9.78/7.32 inference(transitivity,[status(thm)],[35187, 35185])).
% 9.78/7.32 tff(35189,plain,
% 9.78/7.32 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB146) <=> (~((~v139(constB146)) | (~v128(constB146)))))),
% 9.78/7.32 inference(quant_inst,[status(thm)],[])).
% 9.78/7.32 tff(35190,plain,
% 9.78/7.32 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB146) <=> (~((~v128(constB146)) | (~v139(constB146)))))),
% 9.78/7.32 inference(modus_ponens,[status(thm)],[35189, 35188])).
% 9.78/7.32 tff(35191,plain,
% 9.78/7.32 (v163(constB146) <=> (~((~v128(constB146)) | (~v139(constB146))))),
% 9.78/7.32 inference(unit_resolution,[status(thm)],[35190, 171])).
% 9.78/7.32 tff(35192,plain,
% 9.78/7.32 ((~![VarNext: $i] : (v128(VarNext) <=> v162(VarNext))) | (v128(constB146) <=> v162(constB146))),
% 9.78/7.32 inference(quant_inst,[status(thm)],[])).
% 9.78/7.32 tff(35193,plain,
% 9.78/7.32 (v128(constB146) <=> v162(constB146)),
% 9.78/7.32 inference(unit_resolution,[status(thm)],[35192, 13])).
% 9.78/7.32 tff(35194,plain,
% 9.78/7.32 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB145, constB146)) | (v162(constB146) <=> v160(constB145)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB145, constB146)) | (v162(constB146) <=> v160(constB145)))),
% 9.78/7.32 inference(rewrite,[status(thm)],[])).
% 9.78/7.32 tff(35195,plain,
% 9.78/7.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB145, constB146)) | (v162(constB146) <=> v160(constB145)))),
% 9.78/7.32 inference(quant_inst,[status(thm)],[])).
% 9.78/7.32 tff(35196,plain,
% 9.78/7.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB145, constB146)) | (v162(constB146) <=> v160(constB145))),
% 9.78/7.32 inference(modus_ponens,[status(thm)],[35195, 35194])).
% 9.78/7.32 tff(35197,plain,
% 9.78/7.32 (v162(constB146) <=> v160(constB145)),
% 9.78/7.32 inference(unit_resolution,[status(thm)],[35196, 3107, 70])).
% 9.78/7.32 tff(35198,plain,
% 9.78/7.32 ((~![VarCurr: $i] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB145) <=> (v163(constB145) | v164(constB145)))),
% 9.78/7.32 inference(quant_inst,[status(thm)],[])).
% 9.78/7.32 tff(35199,plain,
% 9.78/7.32 (v160(constB145) <=> (v163(constB145) | v164(constB145))),
% 9.78/7.32 inference(unit_resolution,[status(thm)],[35198, 84])).
% 9.78/7.32 tff(35200,plain,
% 9.78/7.32 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB145) <=> (~((~v128(constB145)) | (~v139(constB145)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB145) <=> (~((~v128(constB145)) | (~v139(constB145))))))),
% 9.78/7.32 inference(rewrite,[status(thm)],[])).
% 9.78/7.32 tff(35201,plain,
% 9.78/7.32 ((v163(constB145) <=> (~((~v139(constB145)) | (~v128(constB145))))) <=> (v163(constB145) <=> (~((~v128(constB145)) | (~v139(constB145)))))),
% 9.78/7.32 inference(rewrite,[status(thm)],[])).
% 9.78/7.32 tff(35202,plain,
% 9.78/7.32 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB145) <=> (~((~v139(constB145)) | (~v128(constB145)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB145) <=> (~((~v128(constB145)) | (~v139(constB145))))))),
% 9.78/7.32 inference(monotonicity,[status(thm)],[35201])).
% 9.78/7.32 tff(35203,plain,
% 9.78/7.32 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB145) <=> (~((~v139(constB145)) | (~v128(constB145)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB145) <=> (~((~v128(constB145)) | (~v139(constB145))))))),
% 9.78/7.32 inference(transitivity,[status(thm)],[35202, 35200])).
% 9.78/7.32 tff(35204,plain,
% 9.78/7.32 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB145) <=> (~((~v139(constB145)) | (~v128(constB145)))))),
% 9.78/7.32 inference(quant_inst,[status(thm)],[])).
% 9.78/7.32 tff(35205,plain,
% 9.78/7.32 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB145) <=> (~((~v128(constB145)) | (~v139(constB145)))))),
% 9.78/7.32 inference(modus_ponens,[status(thm)],[35204, 35203])).
% 9.78/7.32 tff(35206,plain,
% 9.78/7.32 (v163(constB145) <=> (~((~v128(constB145)) | (~v139(constB145))))),
% 9.78/7.32 inference(unit_resolution,[status(thm)],[35205, 171])).
% 9.78/7.32 tff(35207,plain,
% 9.78/7.32 ((~![VarCurr: $i] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB145)) <=> v140(constB145))),
% 9.78/7.32 inference(quant_inst,[status(thm)],[])).
% 9.78/7.32 tff(35208,plain,
% 9.78/7.32 ((~v139(constB145)) <=> v140(constB145)),
% 9.78/7.32 inference(unit_resolution,[status(thm)],[35207, 203])).
% 9.78/7.32 tff(35209,plain,
% 9.78/7.32 ((~![VarCurr: $i] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB145) <=> (v141(constB145) | v26(constB145)))),
% 9.78/7.32 inference(quant_inst,[status(thm)],[])).
% 9.78/7.32 tff(35210,plain,
% 9.78/7.32 (v140(constB145) <=> (v141(constB145) | v26(constB145))),
% 9.78/7.32 inference(unit_resolution,[status(thm)],[35209, 212])).
% 9.78/7.32 tff(35211,plain,
% 9.78/7.32 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB145) <=> (~((~v39(constB145)) | (~v9(constB145)))))),
% 9.78/7.32 inference(quant_inst,[status(thm)],[])).
% 9.78/7.32 tff(35212,plain,
% 9.78/7.32 (v141(constB145) <=> (~((~v39(constB145)) | (~v9(constB145))))),
% 9.78/7.32 inference(unit_resolution,[status(thm)],[35211, 130])).
% 9.78/7.32 tff(35213,plain,
% 9.78/7.32 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB145, constB146)) | (v13(constB146) <=> v9(constB145)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB145, constB146)) | (v13(constB146) <=> v9(constB145)))),
% 9.78/7.32 inference(rewrite,[status(thm)],[])).
% 9.78/7.32 tff(35214,plain,
% 9.78/7.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB145, constB146)) | (v13(constB146) <=> v9(constB145)))),
% 9.78/7.32 inference(quant_inst,[status(thm)],[])).
% 9.78/7.32 tff(35215,plain,
% 9.78/7.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB145, constB146)) | (v13(constB146) <=> v9(constB145))),
% 9.78/7.32 inference(modus_ponens,[status(thm)],[35214, 35213])).
% 9.78/7.32 tff(35216,plain,
% 9.78/7.32 (v13(constB146) <=> v9(constB145)),
% 9.78/7.32 inference(unit_resolution,[status(thm)],[35215, 3107, 226])).
% 9.78/7.32 tff(35217,plain,
% 9.78/7.32 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB146) <=> v13(constB146))),
% 9.78/7.32 inference(quant_inst,[status(thm)],[])).
% 9.78/7.32 tff(35218,plain,
% 9.78/7.32 (v6(constB146) <=> v13(constB146)),
% 9.78/7.32 inference(unit_resolution,[status(thm)],[35217, 240])).
% 9.78/7.32 tff(35219,plain,
% 9.78/7.32 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB146)) <=> v6(constB146))),
% 9.78/7.32 inference(quant_inst,[status(thm)],[])).
% 9.78/7.32 tff(35220,plain,
% 9.78/7.32 ((~v21(constB146)) <=> v6(constB146)),
% 9.78/7.32 inference(unit_resolution,[status(thm)],[35219, 249])).
% 9.78/7.32 tff(35221,plain,
% 9.78/7.32 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB146) <=> (v20(constB146) | v21(constB146)))),
% 9.78/7.32 inference(quant_inst,[status(thm)],[])).
% 9.78/7.32 tff(35222,plain,
% 9.78/7.32 (v19(constB146) <=> (v20(constB146) | v21(constB146))),
% 9.78/7.32 inference(unit_resolution,[status(thm)],[35221, 258])).
% 9.78/7.32 tff(35223,plain,
% 9.78/7.32 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB146) <=> (~((~v19(constB146)) | (~v22(constB146)))))),
% 9.78/7.32 inference(quant_inst,[status(thm)],[])).
% 9.78/7.32 tff(35224,plain,
% 9.78/7.32 (v18(constB146) <=> (~((~v19(constB146)) | (~v22(constB146))))),
% 9.78/7.32 inference(unit_resolution,[status(thm)],[35223, 270])).
% 9.78/7.32 tff(35225,plain,
% 9.78/7.32 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB146)) <=> v18(constB146))),
% 9.78/7.32 inference(quant_inst,[status(thm)],[])).
% 9.78/7.32 tff(35226,plain,
% 9.78/7.32 ((~v4(constB146)) <=> v18(constB146)),
% 9.78/7.32 inference(unit_resolution,[status(thm)],[35225, 279])).
% 9.78/7.32 tff(35227,plain,
% 9.78/7.32 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB146)),
% 9.78/7.32 inference(quant_inst,[status(thm)],[])).
% 9.78/7.32 tff(35228,plain,
% 9.78/7.32 (v4(constB146)),
% 9.78/7.32 inference(unit_resolution,[status(thm)],[35227, 288])).
% 9.78/7.32 tff(35229,plain,
% 9.78/7.32 ((~((~v4(constB146)) <=> v18(constB146))) | (~v4(constB146)) | (~v18(constB146))),
% 9.78/7.32 inference(tautology,[status(thm)],[])).
% 9.78/7.32 tff(35230,plain,
% 9.78/7.32 (~v18(constB146)),
% 9.78/7.32 inference(unit_resolution,[status(thm)],[35229, 35228, 35226])).
% 9.78/7.32 tff(35231,plain,
% 9.78/7.32 ((~(v18(constB146) <=> (~((~v19(constB146)) | (~v22(constB146)))))) | v18(constB146) | ((~v19(constB146)) | (~v22(constB146)))),
% 9.78/7.32 inference(tautology,[status(thm)],[])).
% 9.78/7.32 tff(35232,plain,
% 9.78/7.32 ((~v19(constB146)) | (~v22(constB146))),
% 9.78/7.32 inference(unit_resolution,[status(thm)],[35231, 35230, 35224])).
% 9.78/7.32 tff(35233,plain,
% 9.78/7.32 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB146) <=> (v1(constB146) | v6(constB146)))),
% 9.78/7.32 inference(quant_inst,[status(thm)],[])).
% 9.78/7.32 tff(35234,plain,
% 9.78/7.32 (v22(constB146) <=> (v1(constB146) | v6(constB146))),
% 9.78/7.32 inference(unit_resolution,[status(thm)],[35233, 301])).
% 9.78/7.32 tff(35235,plain,
% 9.78/7.32 ((v1(constB146) | v6(constB146)) | (~v1(constB146))),
% 9.78/7.32 inference(tautology,[status(thm)],[])).
% 9.78/7.32 tff(35236,plain,
% 9.78/7.32 (v1(constB146) | v6(constB146)),
% 9.78/7.32 inference(unit_resolution,[status(thm)],[35235, 3137])).
% 9.78/7.32 tff(35237,plain,
% 9.78/7.32 ((~(v22(constB146) <=> (v1(constB146) | v6(constB146)))) | v22(constB146) | (~(v1(constB146) | v6(constB146)))),
% 9.78/7.32 inference(tautology,[status(thm)],[])).
% 9.78/7.32 tff(35238,plain,
% 9.78/7.32 ((~(v22(constB146) <=> (v1(constB146) | v6(constB146)))) | v22(constB146)),
% 9.78/7.32 inference(unit_resolution,[status(thm)],[35237, 35236])).
% 9.78/7.32 tff(35239,plain,
% 9.78/7.32 (v22(constB146)),
% 9.78/7.32 inference(unit_resolution,[status(thm)],[35238, 35234])).
% 9.78/7.32 tff(35240,plain,
% 9.78/7.32 ((~((~v19(constB146)) | (~v22(constB146)))) | (~v19(constB146)) | (~v22(constB146))),
% 9.78/7.32 inference(tautology,[status(thm)],[])).
% 9.78/7.32 tff(35241,plain,
% 9.78/7.32 ((~((~v19(constB146)) | (~v22(constB146)))) | (~v19(constB146))),
% 9.78/7.32 inference(unit_resolution,[status(thm)],[35240, 35239])).
% 9.78/7.32 tff(35242,plain,
% 9.78/7.32 (~v19(constB146)),
% 9.78/7.32 inference(unit_resolution,[status(thm)],[35241, 35232])).
% 9.78/7.32 tff(35243,plain,
% 9.78/7.32 ((~(v19(constB146) <=> (v20(constB146) | v21(constB146)))) | v19(constB146) | (~(v20(constB146) | v21(constB146)))),
% 9.78/7.32 inference(tautology,[status(thm)],[])).
% 9.78/7.32 tff(35244,plain,
% 9.78/7.32 (~(v20(constB146) | v21(constB146))),
% 9.78/7.32 inference(unit_resolution,[status(thm)],[35243, 35242, 35222])).
% 9.78/7.32 tff(35245,plain,
% 9.78/7.32 ((v20(constB146) | v21(constB146)) | (~v21(constB146))),
% 9.78/7.32 inference(tautology,[status(thm)],[])).
% 9.78/7.32 tff(35246,plain,
% 9.78/7.32 (~v21(constB146)),
% 9.78/7.32 inference(unit_resolution,[status(thm)],[35245, 35244])).
% 9.78/7.32 tff(35247,plain,
% 9.78/7.32 ((~((~v21(constB146)) <=> v6(constB146))) | v21(constB146) | v6(constB146)),
% 9.78/7.32 inference(tautology,[status(thm)],[])).
% 9.78/7.32 tff(35248,plain,
% 9.78/7.32 (v6(constB146)),
% 9.78/7.32 inference(unit_resolution,[status(thm)],[35247, 35246, 35220])).
% 9.78/7.32 tff(35249,plain,
% 9.78/7.32 ((~(v6(constB146) <=> v13(constB146))) | (~v6(constB146)) | v13(constB146)),
% 9.78/7.32 inference(tautology,[status(thm)],[])).
% 9.78/7.32 tff(35250,plain,
% 9.78/7.32 (v13(constB146)),
% 9.78/7.32 inference(unit_resolution,[status(thm)],[35249, 35248, 35218])).
% 9.78/7.32 tff(35251,plain,
% 9.78/7.32 ((~(v13(constB146) <=> v9(constB145))) | (~v13(constB146)) | v9(constB145)),
% 9.78/7.32 inference(tautology,[status(thm)],[])).
% 9.78/7.32 tff(35252,plain,
% 9.78/7.32 (v9(constB145)),
% 9.78/7.32 inference(unit_resolution,[status(thm)],[35251, 35250, 35216])).
% 9.78/7.32 tff(35253,plain,
% 9.78/7.32 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB145)) <=> v1(constB145))),
% 9.78/7.32 inference(quant_inst,[status(thm)],[])).
% 9.78/7.32 tff(35254,plain,
% 9.78/7.32 ((~v39(constB145)) <=> v1(constB145)),
% 9.78/7.32 inference(unit_resolution,[status(thm)],[35253, 139])).
% 9.78/7.32 tff(35255,plain,
% 9.78/7.32 ((~((~v39(constB145)) <=> v1(constB145))) | v39(constB145) | v1(constB145)),
% 9.78/7.32 inference(tautology,[status(thm)],[])).
% 9.78/7.32 tff(35256,plain,
% 9.78/7.32 ((~((~v39(constB145)) <=> v1(constB145))) | v39(constB145)),
% 9.78/7.32 inference(unit_resolution,[status(thm)],[35255, 3129])).
% 9.78/7.32 tff(35257,plain,
% 9.78/7.32 (v39(constB145)),
% 9.78/7.32 inference(unit_resolution,[status(thm)],[35256, 35254])).
% 9.78/7.32 tff(35258,plain,
% 9.78/7.32 ((~((~v39(constB145)) | (~v9(constB145)))) | (~v39(constB145)) | (~v9(constB145))),
% 9.78/7.32 inference(tautology,[status(thm)],[])).
% 9.78/7.32 tff(35259,plain,
% 9.78/7.32 ((~((~v39(constB145)) | (~v9(constB145)))) | (~v9(constB145))),
% 9.78/7.32 inference(unit_resolution,[status(thm)],[35258, 35257])).
% 9.78/7.32 tff(35260,plain,
% 9.78/7.32 (~((~v39(constB145)) | (~v9(constB145)))),
% 9.78/7.32 inference(unit_resolution,[status(thm)],[35259, 35252])).
% 9.78/7.32 tff(35261,plain,
% 9.78/7.32 ((~(v141(constB145) <=> (~((~v39(constB145)) | (~v9(constB145)))))) | v141(constB145) | ((~v39(constB145)) | (~v9(constB145)))),
% 9.78/7.32 inference(tautology,[status(thm)],[])).
% 9.78/7.32 tff(35262,plain,
% 9.78/7.32 (v141(constB145)),
% 9.78/7.32 inference(unit_resolution,[status(thm)],[35261, 35260, 35212])).
% 9.78/7.32 tff(35263,plain,
% 9.78/7.32 ((v141(constB145) | v26(constB145)) | (~v141(constB145))),
% 9.78/7.32 inference(tautology,[status(thm)],[])).
% 9.78/7.32 tff(35264,plain,
% 9.78/7.32 (v141(constB145) | v26(constB145)),
% 9.78/7.32 inference(unit_resolution,[status(thm)],[35263, 35262])).
% 9.78/7.32 tff(35265,plain,
% 9.78/7.32 ((~(v140(constB145) <=> (v141(constB145) | v26(constB145)))) | v140(constB145) | (~(v141(constB145) | v26(constB145)))),
% 9.78/7.32 inference(tautology,[status(thm)],[])).
% 9.78/7.32 tff(35266,plain,
% 9.78/7.32 (v140(constB145)),
% 9.78/7.32 inference(unit_resolution,[status(thm)],[35265, 35264, 35210])).
% 9.78/7.32 tff(35267,plain,
% 9.78/7.32 ((~((~v139(constB145)) <=> v140(constB145))) | (~v139(constB145)) | (~v140(constB145))),
% 9.78/7.32 inference(tautology,[status(thm)],[])).
% 9.78/7.32 tff(35268,plain,
% 9.78/7.32 (~v139(constB145)),
% 9.78/7.32 inference(unit_resolution,[status(thm)],[35267, 35266, 35208])).
% 9.78/7.32 tff(35269,plain,
% 9.78/7.32 (((~v128(constB145)) | (~v139(constB145))) | v139(constB145)),
% 9.78/7.32 inference(tautology,[status(thm)],[])).
% 9.78/7.32 tff(35270,plain,
% 9.78/7.32 ((~v128(constB145)) | (~v139(constB145))),
% 9.78/7.32 inference(unit_resolution,[status(thm)],[35269, 35268])).
% 9.78/7.32 tff(35271,plain,
% 9.78/7.32 ((~(v163(constB145) <=> (~((~v128(constB145)) | (~v139(constB145)))))) | (~v163(constB145)) | (~((~v128(constB145)) | (~v139(constB145))))),
% 9.78/7.32 inference(tautology,[status(thm)],[])).
% 9.78/7.32 tff(35272,plain,
% 9.78/7.32 (~v163(constB145)),
% 9.78/7.32 inference(unit_resolution,[status(thm)],[35271, 35270, 35206])).
% 9.78/7.32 tff(35273,plain,
% 9.78/7.32 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB145) <=> (~((~v130(constB145)) | (~v154(constB145)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB145) <=> (~((~v130(constB145)) | (~v154(constB145))))))),
% 9.78/7.32 inference(rewrite,[status(thm)],[])).
% 9.78/7.32 tff(35274,plain,
% 9.78/7.32 ((v164(constB145) <=> (~((~v154(constB145)) | (~v130(constB145))))) <=> (v164(constB145) <=> (~((~v130(constB145)) | (~v154(constB145)))))),
% 9.78/7.32 inference(rewrite,[status(thm)],[])).
% 9.78/7.32 tff(35275,plain,
% 9.78/7.32 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB145) <=> (~((~v154(constB145)) | (~v130(constB145)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB145) <=> (~((~v130(constB145)) | (~v154(constB145))))))),
% 9.78/7.32 inference(monotonicity,[status(thm)],[35274])).
% 9.78/7.32 tff(35276,plain,
% 9.78/7.32 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB145) <=> (~((~v154(constB145)) | (~v130(constB145)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB145) <=> (~((~v130(constB145)) | (~v154(constB145))))))),
% 9.78/7.32 inference(transitivity,[status(thm)],[35275, 35273])).
% 9.78/7.32 tff(35277,plain,
% 9.78/7.32 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB145) <=> (~((~v154(constB145)) | (~v130(constB145)))))),
% 9.78/7.32 inference(quant_inst,[status(thm)],[])).
% 9.78/7.32 tff(35278,plain,
% 9.78/7.32 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB145) <=> (~((~v130(constB145)) | (~v154(constB145)))))),
% 9.78/7.32 inference(modus_ponens,[status(thm)],[35277, 35276])).
% 9.78/7.32 tff(35279,plain,
% 9.78/7.32 (v164(constB145) <=> (~((~v130(constB145)) | (~v154(constB145))))),
% 9.78/7.32 inference(unit_resolution,[status(thm)],[35278, 96])).
% 9.78/7.32 tff(35280,plain,
% 9.78/7.32 ((~![VarNext: $i] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB145) <=> v152(constB145))),
% 9.78/7.32 inference(quant_inst,[status(thm)],[])).
% 9.78/7.32 tff(35281,plain,
% 9.78/7.32 (v130(constB145) <=> v152(constB145)),
% 9.78/7.32 inference(unit_resolution,[status(thm)],[35280, 361])).
% 9.78/7.32 tff(35282,plain,
% 9.78/7.32 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB144, constB145)) | (v152(constB145) <=> v150(constB144)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB144, constB145)) | (v152(constB145) <=> v150(constB144)))),
% 9.78/7.32 inference(rewrite,[status(thm)],[])).
% 9.78/7.32 tff(35283,plain,
% 9.78/7.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB144, constB145)) | (v152(constB145) <=> v150(constB144)))),
% 9.78/7.32 inference(quant_inst,[status(thm)],[])).
% 9.78/7.32 tff(35284,plain,
% 9.78/7.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB144, constB145)) | (v152(constB145) <=> v150(constB144))),
% 9.78/7.32 inference(modus_ponens,[status(thm)],[35283, 35282])).
% 9.78/7.32 tff(35285,plain,
% 9.78/7.32 (v152(constB145) <=> v150(constB144)),
% 9.78/7.32 inference(unit_resolution,[status(thm)],[35284, 3162, 373])).
% 9.78/7.32 tff(35286,plain,
% 9.78/7.32 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v153(VarCurr) | v155(VarCurr)))) | (v150(constB144) <=> (v153(constB144) | v155(constB144)))),
% 9.78/7.32 inference(quant_inst,[status(thm)],[])).
% 9.78/7.32 tff(35287,plain,
% 9.78/7.32 (v150(constB144) <=> (v153(constB144) | v155(constB144))),
% 9.78/7.32 inference(unit_resolution,[status(thm)],[35286, 387])).
% 9.78/7.32 tff(35288,plain,
% 9.78/7.32 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB144) <=> (~((~v132(constB144)) | (~v154(constB144)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB144) <=> (~((~v132(constB144)) | (~v154(constB144))))))),
% 9.78/7.32 inference(rewrite,[status(thm)],[])).
% 9.78/7.32 tff(35289,plain,
% 9.78/7.32 ((v153(constB144) <=> (~((~v154(constB144)) | (~v132(constB144))))) <=> (v153(constB144) <=> (~((~v132(constB144)) | (~v154(constB144)))))),
% 9.78/7.32 inference(rewrite,[status(thm)],[])).
% 9.78/7.32 tff(35290,plain,
% 9.78/7.32 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB144) <=> (~((~v154(constB144)) | (~v132(constB144)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB144) <=> (~((~v132(constB144)) | (~v154(constB144))))))),
% 9.78/7.32 inference(monotonicity,[status(thm)],[35289])).
% 9.78/7.32 tff(35291,plain,
% 9.78/7.32 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB144) <=> (~((~v154(constB144)) | (~v132(constB144)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB144) <=> (~((~v132(constB144)) | (~v154(constB144))))))),
% 9.78/7.32 inference(transitivity,[status(thm)],[35290, 35288])).
% 9.78/7.32 tff(35292,plain,
% 9.78/7.32 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB144) <=> (~((~v154(constB144)) | (~v132(constB144)))))),
% 9.78/7.32 inference(quant_inst,[status(thm)],[])).
% 9.78/7.32 tff(35293,plain,
% 9.78/7.32 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB144) <=> (~((~v132(constB144)) | (~v154(constB144)))))),
% 9.78/7.32 inference(modus_ponens,[status(thm)],[35292, 35291])).
% 9.78/7.32 tff(35294,plain,
% 9.78/7.32 (v153(constB144) <=> (~((~v132(constB144)) | (~v154(constB144))))),
% 9.78/7.32 inference(unit_resolution,[status(thm)],[35293, 399])).
% 9.78/7.32 tff(35295,plain,
% 9.78/7.32 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB144) <=> (~((~v141(constB144)) | (~v143(constB144)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB144) <=> (~((~v141(constB144)) | (~v143(constB144))))))),
% 9.78/7.32 inference(rewrite,[status(thm)],[])).
% 9.78/7.32 tff(35296,plain,
% 9.78/7.32 ((v154(constB144) <=> (~((~v143(constB144)) | (~v141(constB144))))) <=> (v154(constB144) <=> (~((~v141(constB144)) | (~v143(constB144)))))),
% 9.78/7.32 inference(rewrite,[status(thm)],[])).
% 9.78/7.32 tff(35297,plain,
% 9.78/7.32 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB144) <=> (~((~v143(constB144)) | (~v141(constB144)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB144) <=> (~((~v141(constB144)) | (~v143(constB144))))))),
% 9.78/7.32 inference(monotonicity,[status(thm)],[35296])).
% 9.78/7.32 tff(35298,plain,
% 9.78/7.32 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB144) <=> (~((~v143(constB144)) | (~v141(constB144)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB144) <=> (~((~v141(constB144)) | (~v143(constB144))))))),
% 9.78/7.32 inference(transitivity,[status(thm)],[35297, 35295])).
% 9.78/7.32 tff(35299,plain,
% 9.78/7.32 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB144) <=> (~((~v143(constB144)) | (~v141(constB144)))))),
% 9.78/7.32 inference(quant_inst,[status(thm)],[])).
% 9.78/7.32 tff(35300,plain,
% 9.78/7.32 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB144) <=> (~((~v141(constB144)) | (~v143(constB144)))))),
% 9.78/7.32 inference(modus_ponens,[status(thm)],[35299, 35298])).
% 9.78/7.32 tff(35301,plain,
% 9.78/7.32 (v154(constB144) <=> (~((~v141(constB144)) | (~v143(constB144))))),
% 9.78/7.32 inference(unit_resolution,[status(thm)],[35300, 113])).
% 9.78/7.32 tff(35302,plain,
% 9.78/7.32 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB144) <=> (~((~v39(constB144)) | (~v9(constB144)))))),
% 9.78/7.32 inference(quant_inst,[status(thm)],[])).
% 9.78/7.32 tff(35303,plain,
% 9.78/7.32 (v141(constB144) <=> (~((~v39(constB144)) | (~v9(constB144))))),
% 9.78/7.32 inference(unit_resolution,[status(thm)],[35302, 130])).
% 9.78/7.32 tff(35304,plain,
% 9.78/7.32 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB144)) <=> v1(constB144))),
% 9.78/7.32 inference(quant_inst,[status(thm)],[])).
% 9.78/7.32 tff(35305,plain,
% 9.78/7.32 ((~v39(constB144)) <=> v1(constB144)),
% 9.78/7.32 inference(unit_resolution,[status(thm)],[35304, 139])).
% 9.78/7.32 tff(35306,plain,
% 9.78/7.32 ((~((~v39(constB144)) <=> v1(constB144))) | (~v39(constB144)) | (~v1(constB144))),
% 9.78/7.32 inference(tautology,[status(thm)],[])).
% 9.78/7.32 tff(35307,plain,
% 9.78/7.32 ((~((~v39(constB144)) <=> v1(constB144))) | (~v39(constB144))),
% 9.78/7.32 inference(unit_resolution,[status(thm)],[35306, 3224])).
% 9.78/7.32 tff(35308,plain,
% 9.78/7.32 (~v39(constB144)),
% 9.78/7.32 inference(unit_resolution,[status(thm)],[35307, 35305])).
% 9.78/7.32 tff(35309,plain,
% 9.78/7.32 (((~v39(constB144)) | (~v9(constB144))) | v39(constB144)),
% 9.78/7.32 inference(tautology,[status(thm)],[])).
% 9.78/7.32 tff(35310,plain,
% 9.78/7.32 ((~v39(constB144)) | (~v9(constB144))),
% 9.78/7.32 inference(unit_resolution,[status(thm)],[35309, 35308])).
% 9.78/7.32 tff(35311,plain,
% 9.78/7.32 ((~(v141(constB144) <=> (~((~v39(constB144)) | (~v9(constB144)))))) | (~v141(constB144)) | (~((~v39(constB144)) | (~v9(constB144))))),
% 9.78/7.32 inference(tautology,[status(thm)],[])).
% 9.78/7.32 tff(35312,plain,
% 9.78/7.32 ((~(v141(constB144) <=> (~((~v39(constB144)) | (~v9(constB144)))))) | (~v141(constB144))),
% 9.78/7.32 inference(unit_resolution,[status(thm)],[35311, 35310])).
% 9.78/7.32 tff(35313,plain,
% 9.78/7.32 (~v141(constB144)),
% 9.78/7.32 inference(unit_resolution,[status(thm)],[35312, 35303])).
% 9.78/7.32 tff(35314,plain,
% 9.78/7.32 (((~v141(constB144)) | (~v143(constB144))) | v141(constB144)),
% 9.78/7.32 inference(tautology,[status(thm)],[])).
% 9.78/7.32 tff(35315,plain,
% 9.78/7.32 ((~v141(constB144)) | (~v143(constB144))),
% 9.78/7.32 inference(unit_resolution,[status(thm)],[35314, 35313])).
% 9.78/7.32 tff(35316,plain,
% 9.78/7.32 ((~(v154(constB144) <=> (~((~v141(constB144)) | (~v143(constB144)))))) | (~v154(constB144)) | (~((~v141(constB144)) | (~v143(constB144))))),
% 9.78/7.32 inference(tautology,[status(thm)],[])).
% 9.78/7.32 tff(35317,plain,
% 9.78/7.32 ((~(v154(constB144) <=> (~((~v141(constB144)) | (~v143(constB144)))))) | (~v154(constB144))),
% 9.78/7.32 inference(unit_resolution,[status(thm)],[35316, 35315])).
% 9.78/7.32 tff(35318,plain,
% 9.78/7.32 (~v154(constB144)),
% 9.78/7.32 inference(unit_resolution,[status(thm)],[35317, 35301])).
% 9.78/7.32 tff(35319,plain,
% 9.78/7.32 (((~v132(constB144)) | (~v154(constB144))) | v154(constB144)),
% 9.78/7.32 inference(tautology,[status(thm)],[])).
% 9.78/7.32 tff(35320,plain,
% 9.78/7.32 ((~v132(constB144)) | (~v154(constB144))),
% 9.78/7.32 inference(unit_resolution,[status(thm)],[35319, 35318])).
% 9.78/7.32 tff(35321,plain,
% 9.78/7.32 ((~(v153(constB144) <=> (~((~v132(constB144)) | (~v154(constB144)))))) | (~v153(constB144)) | (~((~v132(constB144)) | (~v154(constB144))))),
% 9.78/7.32 inference(tautology,[status(thm)],[])).
% 9.78/7.32 tff(35322,plain,
% 9.78/7.32 (~v153(constB144)),
% 9.78/7.32 inference(unit_resolution,[status(thm)],[35321, 35320, 35294])).
% 9.78/7.32 tff(35323,plain,
% 9.78/7.32 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB144) <=> (~((~v130(constB144)) | (~v139(constB144)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB144) <=> (~((~v130(constB144)) | (~v139(constB144))))))),
% 9.78/7.32 inference(rewrite,[status(thm)],[])).
% 9.78/7.32 tff(35324,plain,
% 9.78/7.32 ((v155(constB144) <=> (~((~v139(constB144)) | (~v130(constB144))))) <=> (v155(constB144) <=> (~((~v130(constB144)) | (~v139(constB144)))))),
% 9.78/7.32 inference(rewrite,[status(thm)],[])).
% 9.78/7.32 tff(35325,plain,
% 9.78/7.32 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB144) <=> (~((~v139(constB144)) | (~v130(constB144)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB144) <=> (~((~v130(constB144)) | (~v139(constB144))))))),
% 9.78/7.32 inference(monotonicity,[status(thm)],[35324])).
% 9.78/7.32 tff(35326,plain,
% 9.78/7.32 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB144) <=> (~((~v139(constB144)) | (~v130(constB144)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB144) <=> (~((~v130(constB144)) | (~v139(constB144))))))),
% 9.78/7.32 inference(transitivity,[status(thm)],[35325, 35323])).
% 9.78/7.32 tff(35327,plain,
% 9.78/7.32 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB144) <=> (~((~v139(constB144)) | (~v130(constB144)))))),
% 9.78/7.32 inference(quant_inst,[status(thm)],[])).
% 9.78/7.32 tff(35328,plain,
% 9.78/7.32 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB144) <=> (~((~v130(constB144)) | (~v139(constB144)))))),
% 9.78/7.32 inference(modus_ponens,[status(thm)],[35327, 35326])).
% 9.78/7.32 tff(35329,plain,
% 9.78/7.32 (v155(constB144) <=> (~((~v130(constB144)) | (~v139(constB144))))),
% 9.78/7.32 inference(unit_resolution,[status(thm)],[35328, 447])).
% 9.78/7.32 tff(35330,plain,
% 9.78/7.32 ((~![VarNext: $i] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB144) <=> v152(constB144))),
% 9.78/7.32 inference(quant_inst,[status(thm)],[])).
% 9.78/7.32 tff(35331,plain,
% 9.78/7.32 (v130(constB144) <=> v152(constB144)),
% 9.78/7.32 inference(unit_resolution,[status(thm)],[35330, 361])).
% 9.78/7.32 tff(35332,plain,
% 9.78/7.32 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB143, constB144)) | (v152(constB144) <=> v150(constB143)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB143, constB144)) | (v152(constB144) <=> v150(constB143)))),
% 9.78/7.32 inference(rewrite,[status(thm)],[])).
% 9.78/7.32 tff(35333,plain,
% 9.78/7.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB143, constB144)) | (v152(constB144) <=> v150(constB143)))),
% 9.78/7.32 inference(quant_inst,[status(thm)],[])).
% 9.78/7.32 tff(35334,plain,
% 9.78/7.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB143, constB144)) | (v152(constB144) <=> v150(constB143))),
% 9.78/7.32 inference(modus_ponens,[status(thm)],[35333, 35332])).
% 9.78/7.32 tff(35335,plain,
% 9.78/7.32 (v152(constB144) <=> v150(constB143)),
% 9.78/7.32 inference(unit_resolution,[status(thm)],[35334, 3194, 373])).
% 9.78/7.32 tff(35336,plain,
% 9.78/7.32 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v153(VarCurr) | v155(VarCurr)))) | (v150(constB143) <=> (v153(constB143) | v155(constB143)))),
% 9.78/7.32 inference(quant_inst,[status(thm)],[])).
% 9.78/7.32 tff(35337,plain,
% 9.78/7.32 (v150(constB143) <=> (v153(constB143) | v155(constB143))),
% 9.78/7.32 inference(unit_resolution,[status(thm)],[35336, 387])).
% 9.78/7.32 tff(35338,plain,
% 9.78/7.32 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB143) <=> (~((~v130(constB143)) | (~v139(constB143)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB143) <=> (~((~v130(constB143)) | (~v139(constB143))))))),
% 9.78/7.32 inference(rewrite,[status(thm)],[])).
% 9.78/7.32 tff(35339,plain,
% 9.78/7.32 ((v155(constB143) <=> (~((~v139(constB143)) | (~v130(constB143))))) <=> (v155(constB143) <=> (~((~v130(constB143)) | (~v139(constB143)))))),
% 9.78/7.32 inference(rewrite,[status(thm)],[])).
% 9.78/7.32 tff(35340,plain,
% 9.78/7.32 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB143) <=> (~((~v139(constB143)) | (~v130(constB143)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB143) <=> (~((~v130(constB143)) | (~v139(constB143))))))),
% 9.78/7.32 inference(monotonicity,[status(thm)],[35339])).
% 9.78/7.32 tff(35341,plain,
% 9.78/7.32 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB143) <=> (~((~v139(constB143)) | (~v130(constB143)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB143) <=> (~((~v130(constB143)) | (~v139(constB143))))))),
% 9.78/7.32 inference(transitivity,[status(thm)],[35340, 35338])).
% 9.78/7.32 tff(35342,plain,
% 9.78/7.32 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB143) <=> (~((~v139(constB143)) | (~v130(constB143)))))),
% 9.78/7.32 inference(quant_inst,[status(thm)],[])).
% 9.78/7.32 tff(35343,plain,
% 9.78/7.32 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB143) <=> (~((~v130(constB143)) | (~v139(constB143)))))),
% 9.78/7.32 inference(modus_ponens,[status(thm)],[35342, 35341])).
% 9.78/7.32 tff(35344,plain,
% 9.78/7.32 (v155(constB143) <=> (~((~v130(constB143)) | (~v139(constB143))))),
% 9.78/7.32 inference(unit_resolution,[status(thm)],[35343, 447])).
% 9.78/7.32 tff(35345,plain,
% 9.78/7.32 ((~![VarCurr: $i] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB143)) <=> v140(constB143))),
% 9.78/7.32 inference(quant_inst,[status(thm)],[])).
% 9.78/7.32 tff(35346,plain,
% 9.78/7.32 ((~v139(constB143)) <=> v140(constB143)),
% 9.78/7.32 inference(unit_resolution,[status(thm)],[35345, 203])).
% 9.78/7.32 tff(35347,plain,
% 9.78/7.32 ((~![VarCurr: $i] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB143) <=> (v141(constB143) | v26(constB143)))),
% 9.78/7.32 inference(quant_inst,[status(thm)],[])).
% 9.78/7.32 tff(35348,plain,
% 9.78/7.32 (v140(constB143) <=> (v141(constB143) | v26(constB143))),
% 9.78/7.32 inference(unit_resolution,[status(thm)],[35347, 212])).
% 9.78/7.32 tff(35349,plain,
% 9.78/7.32 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB143) <=> (~((~v39(constB143)) | (~v9(constB143)))))),
% 9.78/7.32 inference(quant_inst,[status(thm)],[])).
% 9.78/7.32 tff(35350,plain,
% 9.78/7.32 (v141(constB143) <=> (~((~v39(constB143)) | (~v9(constB143))))),
% 9.78/7.32 inference(unit_resolution,[status(thm)],[35349, 130])).
% 9.78/7.32 tff(35351,plain,
% 9.78/7.32 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB143, constB144)) | (v13(constB144) <=> v9(constB143)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB143, constB144)) | (v13(constB144) <=> v9(constB143)))),
% 9.78/7.32 inference(rewrite,[status(thm)],[])).
% 9.78/7.32 tff(35352,plain,
% 9.78/7.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB143, constB144)) | (v13(constB144) <=> v9(constB143)))),
% 9.78/7.32 inference(quant_inst,[status(thm)],[])).
% 9.78/7.32 tff(35353,plain,
% 9.78/7.32 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB143, constB144)) | (v13(constB144) <=> v9(constB143))),
% 9.78/7.32 inference(modus_ponens,[status(thm)],[35352, 35351])).
% 9.78/7.32 tff(35354,plain,
% 9.78/7.32 (v13(constB144) <=> v9(constB143)),
% 9.78/7.32 inference(unit_resolution,[status(thm)],[35353, 3194, 226])).
% 9.78/7.32 tff(35355,plain,
% 9.78/7.32 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB144) <=> v13(constB144))),
% 9.78/7.32 inference(quant_inst,[status(thm)],[])).
% 9.78/7.32 tff(35356,plain,
% 9.78/7.33 (v6(constB144) <=> v13(constB144)),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35355, 240])).
% 9.78/7.33 tff(35357,plain,
% 9.78/7.33 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB144)) <=> v6(constB144))),
% 9.78/7.33 inference(quant_inst,[status(thm)],[])).
% 9.78/7.33 tff(35358,plain,
% 9.78/7.33 ((~v21(constB144)) <=> v6(constB144)),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35357, 249])).
% 9.78/7.33 tff(35359,plain,
% 9.78/7.33 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB144) <=> (v20(constB144) | v21(constB144)))),
% 9.78/7.33 inference(quant_inst,[status(thm)],[])).
% 9.78/7.33 tff(35360,plain,
% 9.78/7.33 (v19(constB144) <=> (v20(constB144) | v21(constB144))),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35359, 258])).
% 9.78/7.33 tff(35361,plain,
% 9.78/7.33 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB144) <=> (~((~v19(constB144)) | (~v22(constB144)))))),
% 9.78/7.33 inference(quant_inst,[status(thm)],[])).
% 9.78/7.33 tff(35362,plain,
% 9.78/7.33 (v18(constB144) <=> (~((~v19(constB144)) | (~v22(constB144))))),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35361, 270])).
% 9.78/7.33 tff(35363,plain,
% 9.78/7.33 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB144)) <=> v18(constB144))),
% 9.78/7.33 inference(quant_inst,[status(thm)],[])).
% 9.78/7.33 tff(35364,plain,
% 9.78/7.33 ((~v4(constB144)) <=> v18(constB144)),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35363, 279])).
% 9.78/7.33 tff(35365,plain,
% 9.78/7.33 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB144)),
% 9.78/7.33 inference(quant_inst,[status(thm)],[])).
% 9.78/7.33 tff(35366,plain,
% 9.78/7.33 (v4(constB144)),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35365, 288])).
% 9.78/7.33 tff(35367,plain,
% 9.78/7.33 ((~((~v4(constB144)) <=> v18(constB144))) | (~v4(constB144)) | (~v18(constB144))),
% 9.78/7.33 inference(tautology,[status(thm)],[])).
% 9.78/7.33 tff(35368,plain,
% 9.78/7.33 (~v18(constB144)),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35367, 35366, 35364])).
% 9.78/7.33 tff(35369,plain,
% 9.78/7.33 ((~(v18(constB144) <=> (~((~v19(constB144)) | (~v22(constB144)))))) | v18(constB144) | ((~v19(constB144)) | (~v22(constB144)))),
% 9.78/7.33 inference(tautology,[status(thm)],[])).
% 9.78/7.33 tff(35370,plain,
% 9.78/7.33 ((~v19(constB144)) | (~v22(constB144))),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35369, 35368, 35362])).
% 9.78/7.33 tff(35371,plain,
% 9.78/7.33 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB144) <=> (v1(constB144) | v6(constB144)))),
% 9.78/7.33 inference(quant_inst,[status(thm)],[])).
% 9.78/7.33 tff(35372,plain,
% 9.78/7.33 (v22(constB144) <=> (v1(constB144) | v6(constB144))),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35371, 301])).
% 9.78/7.33 tff(35373,plain,
% 9.78/7.33 ((v1(constB144) | v6(constB144)) | (~v1(constB144))),
% 9.78/7.33 inference(tautology,[status(thm)],[])).
% 9.78/7.33 tff(35374,plain,
% 9.78/7.33 (v1(constB144) | v6(constB144)),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35373, 3224])).
% 9.78/7.33 tff(35375,plain,
% 9.78/7.33 ((~(v22(constB144) <=> (v1(constB144) | v6(constB144)))) | v22(constB144) | (~(v1(constB144) | v6(constB144)))),
% 9.78/7.33 inference(tautology,[status(thm)],[])).
% 9.78/7.33 tff(35376,plain,
% 9.78/7.33 ((~(v22(constB144) <=> (v1(constB144) | v6(constB144)))) | v22(constB144)),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35375, 35374])).
% 9.78/7.33 tff(35377,plain,
% 9.78/7.33 (v22(constB144)),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35376, 35372])).
% 9.78/7.33 tff(35378,plain,
% 9.78/7.33 ((~((~v19(constB144)) | (~v22(constB144)))) | (~v19(constB144)) | (~v22(constB144))),
% 9.78/7.33 inference(tautology,[status(thm)],[])).
% 9.78/7.33 tff(35379,plain,
% 9.78/7.33 ((~((~v19(constB144)) | (~v22(constB144)))) | (~v19(constB144))),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35378, 35377])).
% 9.78/7.33 tff(35380,plain,
% 9.78/7.33 (~v19(constB144)),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35379, 35370])).
% 9.78/7.33 tff(35381,plain,
% 9.78/7.33 ((~(v19(constB144) <=> (v20(constB144) | v21(constB144)))) | v19(constB144) | (~(v20(constB144) | v21(constB144)))),
% 9.78/7.33 inference(tautology,[status(thm)],[])).
% 9.78/7.33 tff(35382,plain,
% 9.78/7.33 (~(v20(constB144) | v21(constB144))),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35381, 35380, 35360])).
% 9.78/7.33 tff(35383,plain,
% 9.78/7.33 ((v20(constB144) | v21(constB144)) | (~v21(constB144))),
% 9.78/7.33 inference(tautology,[status(thm)],[])).
% 9.78/7.33 tff(35384,plain,
% 9.78/7.33 (~v21(constB144)),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35383, 35382])).
% 9.78/7.33 tff(35385,plain,
% 9.78/7.33 ((~((~v21(constB144)) <=> v6(constB144))) | v21(constB144) | v6(constB144)),
% 9.78/7.33 inference(tautology,[status(thm)],[])).
% 9.78/7.33 tff(35386,plain,
% 9.78/7.33 (v6(constB144)),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35385, 35384, 35358])).
% 9.78/7.33 tff(35387,plain,
% 9.78/7.33 ((~(v6(constB144) <=> v13(constB144))) | (~v6(constB144)) | v13(constB144)),
% 9.78/7.33 inference(tautology,[status(thm)],[])).
% 9.78/7.33 tff(35388,plain,
% 9.78/7.33 (v13(constB144)),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35387, 35386, 35356])).
% 9.78/7.33 tff(35389,plain,
% 9.78/7.33 ((~(v13(constB144) <=> v9(constB143))) | (~v13(constB144)) | v9(constB143)),
% 9.78/7.33 inference(tautology,[status(thm)],[])).
% 9.78/7.33 tff(35390,plain,
% 9.78/7.33 (v9(constB143)),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35389, 35388, 35354])).
% 9.78/7.33 tff(35391,plain,
% 9.78/7.33 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB143)) <=> v1(constB143))),
% 9.78/7.33 inference(quant_inst,[status(thm)],[])).
% 9.78/7.33 tff(35392,plain,
% 9.78/7.33 ((~v39(constB143)) <=> v1(constB143)),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35391, 139])).
% 9.78/7.33 tff(35393,plain,
% 9.78/7.33 ((~((~v39(constB143)) <=> v1(constB143))) | v39(constB143) | v1(constB143)),
% 9.78/7.33 inference(tautology,[status(thm)],[])).
% 9.78/7.33 tff(35394,plain,
% 9.78/7.33 ((~((~v39(constB143)) <=> v1(constB143))) | v39(constB143)),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35393, 3216])).
% 9.78/7.33 tff(35395,plain,
% 9.78/7.33 (v39(constB143)),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35394, 35392])).
% 9.78/7.33 tff(35396,plain,
% 9.78/7.33 ((~((~v39(constB143)) | (~v9(constB143)))) | (~v39(constB143)) | (~v9(constB143))),
% 9.78/7.33 inference(tautology,[status(thm)],[])).
% 9.78/7.33 tff(35397,plain,
% 9.78/7.33 ((~((~v39(constB143)) | (~v9(constB143)))) | (~v9(constB143))),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35396, 35395])).
% 9.78/7.33 tff(35398,plain,
% 9.78/7.33 (~((~v39(constB143)) | (~v9(constB143)))),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35397, 35390])).
% 9.78/7.33 tff(35399,plain,
% 9.78/7.33 ((~(v141(constB143) <=> (~((~v39(constB143)) | (~v9(constB143)))))) | v141(constB143) | ((~v39(constB143)) | (~v9(constB143)))),
% 9.78/7.33 inference(tautology,[status(thm)],[])).
% 9.78/7.33 tff(35400,plain,
% 9.78/7.33 (v141(constB143)),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35399, 35398, 35350])).
% 9.78/7.33 tff(35401,plain,
% 9.78/7.33 ((v141(constB143) | v26(constB143)) | (~v141(constB143))),
% 9.78/7.33 inference(tautology,[status(thm)],[])).
% 9.78/7.33 tff(35402,plain,
% 9.78/7.33 (v141(constB143) | v26(constB143)),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35401, 35400])).
% 9.78/7.33 tff(35403,plain,
% 9.78/7.33 ((~(v140(constB143) <=> (v141(constB143) | v26(constB143)))) | v140(constB143) | (~(v141(constB143) | v26(constB143)))),
% 9.78/7.33 inference(tautology,[status(thm)],[])).
% 9.78/7.33 tff(35404,plain,
% 9.78/7.33 (v140(constB143)),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35403, 35402, 35348])).
% 9.78/7.33 tff(35405,plain,
% 9.78/7.33 ((~((~v139(constB143)) <=> v140(constB143))) | (~v139(constB143)) | (~v140(constB143))),
% 9.78/7.33 inference(tautology,[status(thm)],[])).
% 9.78/7.33 tff(35406,plain,
% 9.78/7.33 (~v139(constB143)),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35405, 35404, 35346])).
% 9.78/7.33 tff(35407,plain,
% 9.78/7.33 (((~v130(constB143)) | (~v139(constB143))) | v139(constB143)),
% 9.78/7.33 inference(tautology,[status(thm)],[])).
% 9.78/7.33 tff(35408,plain,
% 9.78/7.33 ((~v130(constB143)) | (~v139(constB143))),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35407, 35406])).
% 9.78/7.33 tff(35409,plain,
% 9.78/7.33 ((~(v155(constB143) <=> (~((~v130(constB143)) | (~v139(constB143)))))) | (~v155(constB143)) | (~((~v130(constB143)) | (~v139(constB143))))),
% 9.78/7.33 inference(tautology,[status(thm)],[])).
% 9.78/7.33 tff(35410,plain,
% 9.78/7.33 (~v155(constB143)),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35409, 35408, 35344])).
% 9.78/7.33 tff(35411,plain,
% 9.78/7.33 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB143) <=> (~((~v132(constB143)) | (~v154(constB143)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB143) <=> (~((~v132(constB143)) | (~v154(constB143))))))),
% 9.78/7.33 inference(rewrite,[status(thm)],[])).
% 9.78/7.33 tff(35412,plain,
% 9.78/7.33 ((v153(constB143) <=> (~((~v154(constB143)) | (~v132(constB143))))) <=> (v153(constB143) <=> (~((~v132(constB143)) | (~v154(constB143)))))),
% 9.78/7.33 inference(rewrite,[status(thm)],[])).
% 9.78/7.33 tff(35413,plain,
% 9.78/7.33 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB143) <=> (~((~v154(constB143)) | (~v132(constB143)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB143) <=> (~((~v132(constB143)) | (~v154(constB143))))))),
% 9.78/7.33 inference(monotonicity,[status(thm)],[35412])).
% 9.78/7.33 tff(35414,plain,
% 9.78/7.33 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB143) <=> (~((~v154(constB143)) | (~v132(constB143)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB143) <=> (~((~v132(constB143)) | (~v154(constB143))))))),
% 9.78/7.33 inference(transitivity,[status(thm)],[35413, 35411])).
% 9.78/7.33 tff(35415,plain,
% 9.78/7.33 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB143) <=> (~((~v154(constB143)) | (~v132(constB143)))))),
% 9.78/7.33 inference(quant_inst,[status(thm)],[])).
% 9.78/7.33 tff(35416,plain,
% 9.78/7.33 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB143) <=> (~((~v132(constB143)) | (~v154(constB143)))))),
% 9.78/7.33 inference(modus_ponens,[status(thm)],[35415, 35414])).
% 9.78/7.33 tff(35417,plain,
% 9.78/7.33 (v153(constB143) <=> (~((~v132(constB143)) | (~v154(constB143))))),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35416, 399])).
% 9.78/7.33 tff(35418,plain,
% 9.78/7.33 ((~![VarNext: $i] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB143) <=> v137(constB143))),
% 9.78/7.33 inference(quant_inst,[status(thm)],[])).
% 9.78/7.33 tff(35419,plain,
% 9.78/7.33 (v132(constB143) <=> v137(constB143)),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35418, 558])).
% 9.78/7.33 tff(35420,plain,
% 9.78/7.33 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB142, constB143)) | (v137(constB143) <=> v135(constB142)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB142, constB143)) | (v137(constB143) <=> v135(constB142)))),
% 9.78/7.33 inference(rewrite,[status(thm)],[])).
% 9.78/7.33 tff(35421,plain,
% 9.78/7.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB142, constB143)) | (v137(constB143) <=> v135(constB142)))),
% 9.78/7.33 inference(quant_inst,[status(thm)],[])).
% 9.78/7.33 tff(35422,plain,
% 9.78/7.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB142, constB143)) | (v137(constB143) <=> v135(constB142))),
% 9.78/7.33 inference(modus_ponens,[status(thm)],[35421, 35420])).
% 9.78/7.33 tff(35423,plain,
% 9.78/7.33 (v137(constB143) <=> v135(constB142)),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35422, 3251, 570])).
% 9.78/7.33 tff(35424,plain,
% 9.78/7.33 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB142) <=> (v138(constB142) | v142(constB142)))),
% 9.78/7.33 inference(quant_inst,[status(thm)],[])).
% 9.78/7.33 tff(35425,plain,
% 9.78/7.33 (v135(constB142) <=> (v138(constB142) | v142(constB142))),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35424, 584])).
% 9.78/7.33 tff(35426,plain,
% 9.78/7.33 ((~![VarCurr: $i] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB142) <=> (~((~v143(constB142)) | (~v144(constB142)))))),
% 9.78/7.33 inference(quant_inst,[status(thm)],[])).
% 9.78/7.33 tff(35427,plain,
% 9.78/7.33 (v142(constB142) <=> (~((~v143(constB142)) | (~v144(constB142))))),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35426, 596])).
% 9.78/7.33 tff(35428,plain,
% 9.78/7.33 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB142) <=> (~((~v141(constB142)) | (~v145(constB142)))))),
% 9.78/7.33 inference(quant_inst,[status(thm)],[])).
% 9.78/7.33 tff(35429,plain,
% 9.78/7.33 (v144(constB142) <=> (~((~v141(constB142)) | (~v145(constB142))))),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35428, 608])).
% 9.78/7.33 tff(35430,plain,
% 9.78/7.33 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB142) <=> (~((~v39(constB142)) | (~v9(constB142)))))),
% 9.78/7.33 inference(quant_inst,[status(thm)],[])).
% 9.78/7.33 tff(35431,plain,
% 9.78/7.33 (v141(constB142) <=> (~((~v39(constB142)) | (~v9(constB142))))),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35430, 130])).
% 9.78/7.33 tff(35432,plain,
% 9.78/7.33 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB142)) <=> v1(constB142))),
% 9.78/7.33 inference(quant_inst,[status(thm)],[])).
% 9.78/7.33 tff(35433,plain,
% 9.78/7.33 ((~v39(constB142)) <=> v1(constB142)),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35432, 139])).
% 9.78/7.33 tff(35434,plain,
% 9.78/7.33 ((~((~v39(constB142)) <=> v1(constB142))) | (~v39(constB142)) | (~v1(constB142))),
% 9.78/7.33 inference(tautology,[status(thm)],[])).
% 9.78/7.33 tff(35435,plain,
% 9.78/7.33 ((~((~v39(constB142)) <=> v1(constB142))) | (~v39(constB142))),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35434, 3313])).
% 9.78/7.33 tff(35436,plain,
% 9.78/7.33 (~v39(constB142)),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35435, 35433])).
% 9.78/7.33 tff(35437,plain,
% 9.78/7.33 (((~v39(constB142)) | (~v9(constB142))) | v39(constB142)),
% 9.78/7.33 inference(tautology,[status(thm)],[])).
% 9.78/7.33 tff(35438,plain,
% 9.78/7.33 ((~v39(constB142)) | (~v9(constB142))),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35437, 35436])).
% 9.78/7.33 tff(35439,plain,
% 9.78/7.33 ((~(v141(constB142) <=> (~((~v39(constB142)) | (~v9(constB142)))))) | (~v141(constB142)) | (~((~v39(constB142)) | (~v9(constB142))))),
% 9.78/7.33 inference(tautology,[status(thm)],[])).
% 9.78/7.33 tff(35440,plain,
% 9.78/7.33 ((~(v141(constB142) <=> (~((~v39(constB142)) | (~v9(constB142)))))) | (~v141(constB142))),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35439, 35438])).
% 9.78/7.33 tff(35441,plain,
% 9.78/7.33 (~v141(constB142)),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35440, 35431])).
% 9.78/7.33 tff(35442,plain,
% 9.78/7.33 (((~v141(constB142)) | (~v145(constB142))) | v141(constB142)),
% 9.78/7.33 inference(tautology,[status(thm)],[])).
% 9.78/7.33 tff(35443,plain,
% 9.78/7.33 ((~v141(constB142)) | (~v145(constB142))),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35442, 35441])).
% 9.78/7.33 tff(35444,plain,
% 9.78/7.33 ((~(v144(constB142) <=> (~((~v141(constB142)) | (~v145(constB142)))))) | (~v144(constB142)) | (~((~v141(constB142)) | (~v145(constB142))))),
% 9.78/7.33 inference(tautology,[status(thm)],[])).
% 9.78/7.33 tff(35445,plain,
% 9.78/7.33 ((~(v144(constB142) <=> (~((~v141(constB142)) | (~v145(constB142)))))) | (~v144(constB142))),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35444, 35443])).
% 9.78/7.33 tff(35446,plain,
% 9.78/7.33 (~v144(constB142)),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35445, 35429])).
% 9.78/7.33 tff(35447,plain,
% 9.78/7.33 (((~v143(constB142)) | (~v144(constB142))) | v144(constB142)),
% 9.78/7.33 inference(tautology,[status(thm)],[])).
% 9.78/7.33 tff(35448,plain,
% 9.78/7.33 ((~v143(constB142)) | (~v144(constB142))),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35447, 35446])).
% 9.78/7.33 tff(35449,plain,
% 9.78/7.33 ((~(v142(constB142) <=> (~((~v143(constB142)) | (~v144(constB142)))))) | (~v142(constB142)) | (~((~v143(constB142)) | (~v144(constB142))))),
% 9.78/7.33 inference(tautology,[status(thm)],[])).
% 9.78/7.33 tff(35450,plain,
% 9.78/7.33 (~v142(constB142)),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35449, 35448, 35427])).
% 9.78/7.33 tff(35451,plain,
% 9.78/7.33 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB142) <=> (~((~v132(constB142)) | (~v139(constB142)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB142) <=> (~((~v132(constB142)) | (~v139(constB142))))))),
% 9.78/7.33 inference(rewrite,[status(thm)],[])).
% 9.78/7.33 tff(35452,plain,
% 9.78/7.33 ((v138(constB142) <=> (~((~v139(constB142)) | (~v132(constB142))))) <=> (v138(constB142) <=> (~((~v132(constB142)) | (~v139(constB142)))))),
% 9.78/7.33 inference(rewrite,[status(thm)],[])).
% 9.78/7.33 tff(35453,plain,
% 9.78/7.33 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB142) <=> (~((~v139(constB142)) | (~v132(constB142)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB142) <=> (~((~v132(constB142)) | (~v139(constB142))))))),
% 9.78/7.33 inference(monotonicity,[status(thm)],[35452])).
% 9.78/7.33 tff(35454,plain,
% 9.78/7.33 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB142) <=> (~((~v139(constB142)) | (~v132(constB142)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB142) <=> (~((~v132(constB142)) | (~v139(constB142))))))),
% 9.78/7.33 inference(transitivity,[status(thm)],[35453, 35451])).
% 9.78/7.33 tff(35455,plain,
% 9.78/7.33 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB142) <=> (~((~v139(constB142)) | (~v132(constB142)))))),
% 9.78/7.33 inference(quant_inst,[status(thm)],[])).
% 9.78/7.33 tff(35456,plain,
% 9.78/7.33 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB142) <=> (~((~v132(constB142)) | (~v139(constB142)))))),
% 9.78/7.33 inference(modus_ponens,[status(thm)],[35455, 35454])).
% 9.78/7.33 tff(35457,plain,
% 9.78/7.33 (v138(constB142) <=> (~((~v132(constB142)) | (~v139(constB142))))),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35456, 644])).
% 9.78/7.33 tff(35458,plain,
% 9.78/7.33 ((~![VarNext: $i] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB142) <=> v137(constB142))),
% 9.78/7.33 inference(quant_inst,[status(thm)],[])).
% 9.78/7.33 tff(35459,plain,
% 9.78/7.33 (v132(constB142) <=> v137(constB142)),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35458, 558])).
% 9.78/7.33 tff(35460,plain,
% 9.78/7.33 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB141, constB142)) | (v137(constB142) <=> v135(constB141)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB141, constB142)) | (v137(constB142) <=> v135(constB141)))),
% 9.78/7.33 inference(rewrite,[status(thm)],[])).
% 9.78/7.33 tff(35461,plain,
% 9.78/7.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB141, constB142)) | (v137(constB142) <=> v135(constB141)))),
% 9.78/7.33 inference(quant_inst,[status(thm)],[])).
% 9.78/7.33 tff(35462,plain,
% 9.78/7.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB141, constB142)) | (v137(constB142) <=> v135(constB141))),
% 9.78/7.33 inference(modus_ponens,[status(thm)],[35461, 35460])).
% 9.78/7.33 tff(35463,plain,
% 9.78/7.33 (v137(constB142) <=> v135(constB141)),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35462, 3283, 570])).
% 9.78/7.33 tff(35464,plain,
% 9.78/7.33 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB141) <=> (v138(constB141) | v142(constB141)))),
% 9.78/7.33 inference(quant_inst,[status(thm)],[])).
% 9.78/7.33 tff(35465,plain,
% 9.78/7.33 (v135(constB141) <=> (v138(constB141) | v142(constB141))),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35464, 584])).
% 9.78/7.33 tff(35466,plain,
% 9.78/7.33 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB141) <=> (~((~v132(constB141)) | (~v139(constB141)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB141) <=> (~((~v132(constB141)) | (~v139(constB141))))))),
% 9.78/7.33 inference(rewrite,[status(thm)],[])).
% 9.78/7.33 tff(35467,plain,
% 9.78/7.33 ((v138(constB141) <=> (~((~v139(constB141)) | (~v132(constB141))))) <=> (v138(constB141) <=> (~((~v132(constB141)) | (~v139(constB141)))))),
% 9.78/7.33 inference(rewrite,[status(thm)],[])).
% 9.78/7.33 tff(35468,plain,
% 9.78/7.33 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB141) <=> (~((~v139(constB141)) | (~v132(constB141)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB141) <=> (~((~v132(constB141)) | (~v139(constB141))))))),
% 9.78/7.33 inference(monotonicity,[status(thm)],[35467])).
% 9.78/7.33 tff(35469,plain,
% 9.78/7.33 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB141) <=> (~((~v139(constB141)) | (~v132(constB141)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB141) <=> (~((~v132(constB141)) | (~v139(constB141))))))),
% 9.78/7.33 inference(transitivity,[status(thm)],[35468, 35466])).
% 9.78/7.33 tff(35470,plain,
% 9.78/7.33 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB141) <=> (~((~v139(constB141)) | (~v132(constB141)))))),
% 9.78/7.33 inference(quant_inst,[status(thm)],[])).
% 9.78/7.33 tff(35471,plain,
% 9.78/7.33 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB141) <=> (~((~v132(constB141)) | (~v139(constB141)))))),
% 9.78/7.33 inference(modus_ponens,[status(thm)],[35470, 35469])).
% 9.78/7.33 tff(35472,plain,
% 9.78/7.33 (v138(constB141) <=> (~((~v132(constB141)) | (~v139(constB141))))),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35471, 644])).
% 9.78/7.33 tff(35473,plain,
% 9.78/7.33 ((~![VarCurr: $i] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB141)) <=> v140(constB141))),
% 9.78/7.33 inference(quant_inst,[status(thm)],[])).
% 9.78/7.33 tff(35474,plain,
% 9.78/7.33 ((~v139(constB141)) <=> v140(constB141)),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35473, 203])).
% 9.78/7.33 tff(35475,plain,
% 9.78/7.33 ((~![VarCurr: $i] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB141) <=> (v141(constB141) | v26(constB141)))),
% 9.78/7.33 inference(quant_inst,[status(thm)],[])).
% 9.78/7.33 tff(35476,plain,
% 9.78/7.33 (v140(constB141) <=> (v141(constB141) | v26(constB141))),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35475, 212])).
% 9.78/7.33 tff(35477,plain,
% 9.78/7.33 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB141) <=> (~((~v39(constB141)) | (~v9(constB141)))))),
% 9.78/7.33 inference(quant_inst,[status(thm)],[])).
% 9.78/7.33 tff(35478,plain,
% 9.78/7.33 (v141(constB141) <=> (~((~v39(constB141)) | (~v9(constB141))))),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35477, 130])).
% 9.78/7.33 tff(35479,plain,
% 9.78/7.33 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB141, constB142)) | (v13(constB142) <=> v9(constB141)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB141, constB142)) | (v13(constB142) <=> v9(constB141)))),
% 9.78/7.33 inference(rewrite,[status(thm)],[])).
% 9.78/7.33 tff(35480,plain,
% 9.78/7.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB141, constB142)) | (v13(constB142) <=> v9(constB141)))),
% 9.78/7.33 inference(quant_inst,[status(thm)],[])).
% 9.78/7.33 tff(35481,plain,
% 9.78/7.33 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB141, constB142)) | (v13(constB142) <=> v9(constB141))),
% 9.78/7.33 inference(modus_ponens,[status(thm)],[35480, 35479])).
% 9.78/7.33 tff(35482,plain,
% 9.78/7.33 (v13(constB142) <=> v9(constB141)),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35481, 3283, 226])).
% 9.78/7.33 tff(35483,plain,
% 9.78/7.33 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB142) <=> v13(constB142))),
% 9.78/7.33 inference(quant_inst,[status(thm)],[])).
% 9.78/7.33 tff(35484,plain,
% 9.78/7.33 (v6(constB142) <=> v13(constB142)),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35483, 240])).
% 9.78/7.33 tff(35485,plain,
% 9.78/7.33 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB142)) <=> v6(constB142))),
% 9.78/7.33 inference(quant_inst,[status(thm)],[])).
% 9.78/7.33 tff(35486,plain,
% 9.78/7.33 ((~v21(constB142)) <=> v6(constB142)),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35485, 249])).
% 9.78/7.33 tff(35487,plain,
% 9.78/7.33 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB142) <=> (v20(constB142) | v21(constB142)))),
% 9.78/7.33 inference(quant_inst,[status(thm)],[])).
% 9.78/7.33 tff(35488,plain,
% 9.78/7.33 (v19(constB142) <=> (v20(constB142) | v21(constB142))),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35487, 258])).
% 9.78/7.33 tff(35489,plain,
% 9.78/7.33 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB142) <=> (~((~v19(constB142)) | (~v22(constB142)))))),
% 9.78/7.33 inference(quant_inst,[status(thm)],[])).
% 9.78/7.33 tff(35490,plain,
% 9.78/7.33 (v18(constB142) <=> (~((~v19(constB142)) | (~v22(constB142))))),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35489, 270])).
% 9.78/7.33 tff(35491,plain,
% 9.78/7.33 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB142)) <=> v18(constB142))),
% 9.78/7.33 inference(quant_inst,[status(thm)],[])).
% 9.78/7.33 tff(35492,plain,
% 9.78/7.33 ((~v4(constB142)) <=> v18(constB142)),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35491, 279])).
% 9.78/7.33 tff(35493,plain,
% 9.78/7.33 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB142)),
% 9.78/7.33 inference(quant_inst,[status(thm)],[])).
% 9.78/7.33 tff(35494,plain,
% 9.78/7.33 (v4(constB142)),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35493, 288])).
% 9.78/7.33 tff(35495,plain,
% 9.78/7.33 ((~((~v4(constB142)) <=> v18(constB142))) | (~v4(constB142)) | (~v18(constB142))),
% 9.78/7.33 inference(tautology,[status(thm)],[])).
% 9.78/7.33 tff(35496,plain,
% 9.78/7.33 (~v18(constB142)),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35495, 35494, 35492])).
% 9.78/7.33 tff(35497,plain,
% 9.78/7.33 ((~(v18(constB142) <=> (~((~v19(constB142)) | (~v22(constB142)))))) | v18(constB142) | ((~v19(constB142)) | (~v22(constB142)))),
% 9.78/7.33 inference(tautology,[status(thm)],[])).
% 9.78/7.33 tff(35498,plain,
% 9.78/7.33 ((~v19(constB142)) | (~v22(constB142))),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35497, 35496, 35490])).
% 9.78/7.33 tff(35499,plain,
% 9.78/7.33 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB142) <=> (v1(constB142) | v6(constB142)))),
% 9.78/7.33 inference(quant_inst,[status(thm)],[])).
% 9.78/7.33 tff(35500,plain,
% 9.78/7.33 (v22(constB142) <=> (v1(constB142) | v6(constB142))),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35499, 301])).
% 9.78/7.33 tff(35501,plain,
% 9.78/7.33 ((v1(constB142) | v6(constB142)) | (~v1(constB142))),
% 9.78/7.33 inference(tautology,[status(thm)],[])).
% 9.78/7.33 tff(35502,plain,
% 9.78/7.33 (v1(constB142) | v6(constB142)),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35501, 3313])).
% 9.78/7.33 tff(35503,plain,
% 9.78/7.33 ((~(v22(constB142) <=> (v1(constB142) | v6(constB142)))) | v22(constB142) | (~(v1(constB142) | v6(constB142)))),
% 9.78/7.33 inference(tautology,[status(thm)],[])).
% 9.78/7.33 tff(35504,plain,
% 9.78/7.33 ((~(v22(constB142) <=> (v1(constB142) | v6(constB142)))) | v22(constB142)),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35503, 35502])).
% 9.78/7.33 tff(35505,plain,
% 9.78/7.33 (v22(constB142)),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35504, 35500])).
% 9.78/7.33 tff(35506,plain,
% 9.78/7.33 ((~((~v19(constB142)) | (~v22(constB142)))) | (~v19(constB142)) | (~v22(constB142))),
% 9.78/7.33 inference(tautology,[status(thm)],[])).
% 9.78/7.33 tff(35507,plain,
% 9.78/7.33 ((~((~v19(constB142)) | (~v22(constB142)))) | (~v19(constB142))),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35506, 35505])).
% 9.78/7.33 tff(35508,plain,
% 9.78/7.33 (~v19(constB142)),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35507, 35498])).
% 9.78/7.33 tff(35509,plain,
% 9.78/7.33 ((~(v19(constB142) <=> (v20(constB142) | v21(constB142)))) | v19(constB142) | (~(v20(constB142) | v21(constB142)))),
% 9.78/7.33 inference(tautology,[status(thm)],[])).
% 9.78/7.33 tff(35510,plain,
% 9.78/7.33 (~(v20(constB142) | v21(constB142))),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35509, 35508, 35488])).
% 9.78/7.33 tff(35511,plain,
% 9.78/7.33 ((v20(constB142) | v21(constB142)) | (~v21(constB142))),
% 9.78/7.33 inference(tautology,[status(thm)],[])).
% 9.78/7.33 tff(35512,plain,
% 9.78/7.33 (~v21(constB142)),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35511, 35510])).
% 9.78/7.33 tff(35513,plain,
% 9.78/7.33 ((~((~v21(constB142)) <=> v6(constB142))) | v21(constB142) | v6(constB142)),
% 9.78/7.33 inference(tautology,[status(thm)],[])).
% 9.78/7.33 tff(35514,plain,
% 9.78/7.33 (v6(constB142)),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35513, 35512, 35486])).
% 9.78/7.33 tff(35515,plain,
% 9.78/7.33 ((~(v6(constB142) <=> v13(constB142))) | (~v6(constB142)) | v13(constB142)),
% 9.78/7.33 inference(tautology,[status(thm)],[])).
% 9.78/7.33 tff(35516,plain,
% 9.78/7.33 (v13(constB142)),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35515, 35514, 35484])).
% 9.78/7.33 tff(35517,plain,
% 9.78/7.33 ((~(v13(constB142) <=> v9(constB141))) | (~v13(constB142)) | v9(constB141)),
% 9.78/7.33 inference(tautology,[status(thm)],[])).
% 9.78/7.33 tff(35518,plain,
% 9.78/7.33 (v9(constB141)),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35517, 35516, 35482])).
% 9.78/7.33 tff(35519,plain,
% 9.78/7.33 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB141)) <=> v1(constB141))),
% 9.78/7.33 inference(quant_inst,[status(thm)],[])).
% 9.78/7.33 tff(35520,plain,
% 9.78/7.33 ((~v39(constB141)) <=> v1(constB141)),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35519, 139])).
% 9.78/7.33 tff(35521,plain,
% 9.78/7.33 ((~((~v39(constB141)) <=> v1(constB141))) | v39(constB141) | v1(constB141)),
% 9.78/7.33 inference(tautology,[status(thm)],[])).
% 9.78/7.33 tff(35522,plain,
% 9.78/7.33 ((~((~v39(constB141)) <=> v1(constB141))) | v39(constB141)),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35521, 3305])).
% 9.78/7.33 tff(35523,plain,
% 9.78/7.33 (v39(constB141)),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35522, 35520])).
% 9.78/7.33 tff(35524,plain,
% 9.78/7.33 ((~((~v39(constB141)) | (~v9(constB141)))) | (~v39(constB141)) | (~v9(constB141))),
% 9.78/7.33 inference(tautology,[status(thm)],[])).
% 9.78/7.33 tff(35525,plain,
% 9.78/7.33 ((~((~v39(constB141)) | (~v9(constB141)))) | (~v9(constB141))),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35524, 35523])).
% 9.78/7.33 tff(35526,plain,
% 9.78/7.33 (~((~v39(constB141)) | (~v9(constB141)))),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35525, 35518])).
% 9.78/7.33 tff(35527,plain,
% 9.78/7.33 ((~(v141(constB141) <=> (~((~v39(constB141)) | (~v9(constB141)))))) | v141(constB141) | ((~v39(constB141)) | (~v9(constB141)))),
% 9.78/7.33 inference(tautology,[status(thm)],[])).
% 9.78/7.33 tff(35528,plain,
% 9.78/7.33 (v141(constB141)),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35527, 35526, 35478])).
% 9.78/7.33 tff(35529,plain,
% 9.78/7.33 ((v141(constB141) | v26(constB141)) | (~v141(constB141))),
% 9.78/7.33 inference(tautology,[status(thm)],[])).
% 9.78/7.33 tff(35530,plain,
% 9.78/7.33 (v141(constB141) | v26(constB141)),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35529, 35528])).
% 9.78/7.33 tff(35531,plain,
% 9.78/7.33 ((~(v140(constB141) <=> (v141(constB141) | v26(constB141)))) | v140(constB141) | (~(v141(constB141) | v26(constB141)))),
% 9.78/7.33 inference(tautology,[status(thm)],[])).
% 9.78/7.33 tff(35532,plain,
% 9.78/7.33 (v140(constB141)),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35531, 35530, 35476])).
% 9.78/7.33 tff(35533,plain,
% 9.78/7.33 ((~((~v139(constB141)) <=> v140(constB141))) | (~v139(constB141)) | (~v140(constB141))),
% 9.78/7.33 inference(tautology,[status(thm)],[])).
% 9.78/7.33 tff(35534,plain,
% 9.78/7.33 (~v139(constB141)),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35533, 35532, 35474])).
% 9.78/7.33 tff(35535,plain,
% 9.78/7.33 (((~v132(constB141)) | (~v139(constB141))) | v139(constB141)),
% 9.78/7.33 inference(tautology,[status(thm)],[])).
% 9.78/7.33 tff(35536,plain,
% 9.78/7.33 ((~v132(constB141)) | (~v139(constB141))),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35535, 35534])).
% 9.78/7.33 tff(35537,plain,
% 9.78/7.33 ((~(v138(constB141) <=> (~((~v132(constB141)) | (~v139(constB141)))))) | (~v138(constB141)) | (~((~v132(constB141)) | (~v139(constB141))))),
% 9.78/7.33 inference(tautology,[status(thm)],[])).
% 9.78/7.33 tff(35538,plain,
% 9.78/7.33 (~v138(constB141)),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35537, 35536, 35472])).
% 9.78/7.33 tff(35539,plain,
% 9.78/7.33 ((~![VarCurr: $i] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB141) <=> (~((~v143(constB141)) | (~v144(constB141)))))),
% 9.78/7.33 inference(quant_inst,[status(thm)],[])).
% 9.78/7.33 tff(35540,plain,
% 9.78/7.33 (v142(constB141) <=> (~((~v143(constB141)) | (~v144(constB141))))),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35539, 596])).
% 9.78/7.33 tff(35541,plain,
% 9.78/7.33 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB141) <=> (~((~v141(constB141)) | (~v145(constB141)))))),
% 9.78/7.33 inference(quant_inst,[status(thm)],[])).
% 9.78/7.33 tff(35542,plain,
% 9.78/7.33 (v144(constB141) <=> (~((~v141(constB141)) | (~v145(constB141))))),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35541, 608])).
% 9.78/7.33 tff(35543,plain,
% 9.78/7.33 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB141) <=> (~(v84(constB141, bitIndex2) | v84(constB141, bitIndex1) | (~v84(constB141, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB141) <=> (~(v84(constB141, bitIndex2) | v84(constB141, bitIndex1) | (~v84(constB141, bitIndex0))))))),
% 9.78/7.33 inference(rewrite,[status(thm)],[])).
% 9.78/7.33 tff(35544,plain,
% 9.78/7.33 ((v145(constB141) <=> (~(v84(constB141, bitIndex1) | v84(constB141, bitIndex2) | (~v84(constB141, bitIndex0))))) <=> (v145(constB141) <=> (~(v84(constB141, bitIndex2) | v84(constB141, bitIndex1) | (~v84(constB141, bitIndex0)))))),
% 9.78/7.33 inference(rewrite,[status(thm)],[])).
% 9.78/7.33 tff(35545,plain,
% 9.78/7.33 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB141) <=> (~(v84(constB141, bitIndex1) | v84(constB141, bitIndex2) | (~v84(constB141, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB141) <=> (~(v84(constB141, bitIndex2) | v84(constB141, bitIndex1) | (~v84(constB141, bitIndex0))))))),
% 9.78/7.33 inference(monotonicity,[status(thm)],[35544])).
% 9.78/7.33 tff(35546,plain,
% 9.78/7.33 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB141) <=> (~(v84(constB141, bitIndex1) | v84(constB141, bitIndex2) | (~v84(constB141, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB141) <=> (~(v84(constB141, bitIndex2) | v84(constB141, bitIndex1) | (~v84(constB141, bitIndex0))))))),
% 9.78/7.33 inference(transitivity,[status(thm)],[35545, 35543])).
% 9.78/7.33 tff(35547,plain,
% 9.78/7.33 ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB141) <=> (~(v84(constB141, bitIndex1) | v84(constB141, bitIndex2) | (~v84(constB141, bitIndex0)))))),
% 9.78/7.33 inference(quant_inst,[status(thm)],[])).
% 9.78/7.33 tff(35548,plain,
% 9.78/7.33 ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB141) <=> (~(v84(constB141, bitIndex2) | v84(constB141, bitIndex1) | (~v84(constB141, bitIndex0)))))),
% 9.78/7.33 inference(modus_ponens,[status(thm)],[35547, 35546])).
% 9.78/7.33 tff(35549,plain,
% 9.78/7.33 (v145(constB141) <=> (~(v84(constB141, bitIndex2) | v84(constB141, bitIndex1) | (~v84(constB141, bitIndex0))))),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35548, 755])).
% 9.78/7.33 tff(35550,plain,
% 9.78/7.33 ((v84(constB141, bitIndex2) | v84(constB141, bitIndex1) | (~v84(constB141, bitIndex0))) | (~v84(constB141, bitIndex2))),
% 9.78/7.33 inference(tautology,[status(thm)],[])).
% 9.78/7.33 tff(35551,plain,
% 9.78/7.33 (v84(constB141, bitIndex2) | v84(constB141, bitIndex1) | (~v84(constB141, bitIndex0))),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35550, 21275])).
% 9.78/7.33 tff(35552,plain,
% 9.78/7.33 ((~(v145(constB141) <=> (~(v84(constB141, bitIndex2) | v84(constB141, bitIndex1) | (~v84(constB141, bitIndex0)))))) | (~v145(constB141)) | (~(v84(constB141, bitIndex2) | v84(constB141, bitIndex1) | (~v84(constB141, bitIndex0))))),
% 9.78/7.33 inference(tautology,[status(thm)],[])).
% 9.78/7.33 tff(35553,plain,
% 9.78/7.33 (~v145(constB141)),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35552, 35551, 35549])).
% 9.78/7.33 tff(35554,plain,
% 9.78/7.33 (((~v141(constB141)) | (~v145(constB141))) | v145(constB141)),
% 9.78/7.33 inference(tautology,[status(thm)],[])).
% 9.78/7.33 tff(35555,plain,
% 9.78/7.33 ((~v141(constB141)) | (~v145(constB141))),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35554, 35553])).
% 9.78/7.33 tff(35556,plain,
% 9.78/7.33 ((~(v144(constB141) <=> (~((~v141(constB141)) | (~v145(constB141)))))) | (~v144(constB141)) | (~((~v141(constB141)) | (~v145(constB141))))),
% 9.78/7.33 inference(tautology,[status(thm)],[])).
% 9.78/7.33 tff(35557,plain,
% 9.78/7.33 (~v144(constB141)),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35556, 35555, 35542])).
% 9.78/7.33 tff(35558,plain,
% 9.78/7.33 (((~v143(constB141)) | (~v144(constB141))) | v144(constB141)),
% 9.78/7.33 inference(tautology,[status(thm)],[])).
% 9.78/7.33 tff(35559,plain,
% 9.78/7.33 ((~v143(constB141)) | (~v144(constB141))),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35558, 35557])).
% 9.78/7.33 tff(35560,plain,
% 9.78/7.33 ((~(v142(constB141) <=> (~((~v143(constB141)) | (~v144(constB141)))))) | (~v142(constB141)) | (~((~v143(constB141)) | (~v144(constB141))))),
% 9.78/7.33 inference(tautology,[status(thm)],[])).
% 9.78/7.33 tff(35561,plain,
% 9.78/7.33 (~v142(constB141)),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35560, 35559, 35540])).
% 9.78/7.33 tff(35562,plain,
% 9.78/7.33 ((~(v138(constB141) | v142(constB141))) | v138(constB141) | v142(constB141)),
% 9.78/7.33 inference(tautology,[status(thm)],[])).
% 9.78/7.33 tff(35563,plain,
% 9.78/7.33 (~(v138(constB141) | v142(constB141))),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35562, 35561, 35538])).
% 9.78/7.33 tff(35564,plain,
% 9.78/7.33 ((~(v135(constB141) <=> (v138(constB141) | v142(constB141)))) | (~v135(constB141)) | (v138(constB141) | v142(constB141))),
% 9.78/7.33 inference(tautology,[status(thm)],[])).
% 9.78/7.33 tff(35565,plain,
% 9.78/7.33 (~v135(constB141)),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35564, 35563, 35465])).
% 9.78/7.33 tff(35566,plain,
% 9.78/7.33 ((~(v137(constB142) <=> v135(constB141))) | (~v137(constB142)) | v135(constB141)),
% 9.78/7.33 inference(tautology,[status(thm)],[])).
% 9.78/7.33 tff(35567,plain,
% 9.78/7.33 (~v137(constB142)),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35566, 35565, 35463])).
% 9.78/7.33 tff(35568,plain,
% 9.78/7.33 ((~(v132(constB142) <=> v137(constB142))) | (~v132(constB142)) | v137(constB142)),
% 9.78/7.33 inference(tautology,[status(thm)],[])).
% 9.78/7.33 tff(35569,plain,
% 9.78/7.33 (~v132(constB142)),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35568, 35567, 35459])).
% 9.78/7.33 tff(35570,plain,
% 9.78/7.33 (((~v132(constB142)) | (~v139(constB142))) | v132(constB142)),
% 9.78/7.33 inference(tautology,[status(thm)],[])).
% 9.78/7.33 tff(35571,plain,
% 9.78/7.33 ((~v132(constB142)) | (~v139(constB142))),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35570, 35569])).
% 9.78/7.33 tff(35572,plain,
% 9.78/7.33 ((~(v138(constB142) <=> (~((~v132(constB142)) | (~v139(constB142)))))) | (~v138(constB142)) | (~((~v132(constB142)) | (~v139(constB142))))),
% 9.78/7.33 inference(tautology,[status(thm)],[])).
% 9.78/7.33 tff(35573,plain,
% 9.78/7.33 (~v138(constB142)),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35572, 35571, 35457])).
% 9.78/7.33 tff(35574,plain,
% 9.78/7.33 ((~(v138(constB142) | v142(constB142))) | v138(constB142) | v142(constB142)),
% 9.78/7.33 inference(tautology,[status(thm)],[])).
% 9.78/7.33 tff(35575,plain,
% 9.78/7.33 (~(v138(constB142) | v142(constB142))),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35574, 35573, 35450])).
% 9.78/7.33 tff(35576,plain,
% 9.78/7.33 ((~(v135(constB142) <=> (v138(constB142) | v142(constB142)))) | (~v135(constB142)) | (v138(constB142) | v142(constB142))),
% 9.78/7.33 inference(tautology,[status(thm)],[])).
% 9.78/7.33 tff(35577,plain,
% 9.78/7.33 (~v135(constB142)),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35576, 35575, 35425])).
% 9.78/7.33 tff(35578,plain,
% 9.78/7.33 ((~(v137(constB143) <=> v135(constB142))) | (~v137(constB143)) | v135(constB142)),
% 9.78/7.33 inference(tautology,[status(thm)],[])).
% 9.78/7.33 tff(35579,plain,
% 9.78/7.33 (~v137(constB143)),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35578, 35577, 35423])).
% 9.78/7.33 tff(35580,plain,
% 9.78/7.33 ((~(v132(constB143) <=> v137(constB143))) | (~v132(constB143)) | v137(constB143)),
% 9.78/7.33 inference(tautology,[status(thm)],[])).
% 9.78/7.33 tff(35581,plain,
% 9.78/7.33 (~v132(constB143)),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35580, 35579, 35419])).
% 9.78/7.33 tff(35582,plain,
% 9.78/7.33 (((~v132(constB143)) | (~v154(constB143))) | v132(constB143)),
% 9.78/7.33 inference(tautology,[status(thm)],[])).
% 9.78/7.33 tff(35583,plain,
% 9.78/7.33 ((~v132(constB143)) | (~v154(constB143))),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35582, 35581])).
% 9.78/7.33 tff(35584,plain,
% 9.78/7.33 ((~(v153(constB143) <=> (~((~v132(constB143)) | (~v154(constB143)))))) | (~v153(constB143)) | (~((~v132(constB143)) | (~v154(constB143))))),
% 9.78/7.33 inference(tautology,[status(thm)],[])).
% 9.78/7.33 tff(35585,plain,
% 9.78/7.33 (~v153(constB143)),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35584, 35583, 35417])).
% 9.78/7.33 tff(35586,plain,
% 9.78/7.33 ((~(v153(constB143) | v155(constB143))) | v153(constB143) | v155(constB143)),
% 9.78/7.33 inference(tautology,[status(thm)],[])).
% 9.78/7.33 tff(35587,plain,
% 9.78/7.33 (~(v153(constB143) | v155(constB143))),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35586, 35585, 35410])).
% 9.78/7.33 tff(35588,plain,
% 9.78/7.33 ((~(v150(constB143) <=> (v153(constB143) | v155(constB143)))) | (~v150(constB143)) | (v153(constB143) | v155(constB143))),
% 9.78/7.33 inference(tautology,[status(thm)],[])).
% 9.78/7.33 tff(35589,plain,
% 9.78/7.33 (~v150(constB143)),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35588, 35587, 35337])).
% 9.78/7.33 tff(35590,plain,
% 9.78/7.33 ((~(v152(constB144) <=> v150(constB143))) | (~v152(constB144)) | v150(constB143)),
% 9.78/7.33 inference(tautology,[status(thm)],[])).
% 9.78/7.33 tff(35591,plain,
% 9.78/7.33 (~v152(constB144)),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35590, 35589, 35335])).
% 9.78/7.33 tff(35592,plain,
% 9.78/7.33 ((~(v130(constB144) <=> v152(constB144))) | (~v130(constB144)) | v152(constB144)),
% 9.78/7.33 inference(tautology,[status(thm)],[])).
% 9.78/7.33 tff(35593,plain,
% 9.78/7.33 (~v130(constB144)),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35592, 35591, 35331])).
% 9.78/7.33 tff(35594,plain,
% 9.78/7.33 (((~v130(constB144)) | (~v139(constB144))) | v130(constB144)),
% 9.78/7.33 inference(tautology,[status(thm)],[])).
% 9.78/7.33 tff(35595,plain,
% 9.78/7.33 ((~v130(constB144)) | (~v139(constB144))),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35594, 35593])).
% 9.78/7.33 tff(35596,plain,
% 9.78/7.33 ((~(v155(constB144) <=> (~((~v130(constB144)) | (~v139(constB144)))))) | (~v155(constB144)) | (~((~v130(constB144)) | (~v139(constB144))))),
% 9.78/7.33 inference(tautology,[status(thm)],[])).
% 9.78/7.33 tff(35597,plain,
% 9.78/7.33 (~v155(constB144)),
% 9.78/7.33 inference(unit_resolution,[status(thm)],[35596, 35595, 35329])).
% 9.78/7.33 tff(35598,plain,
% 9.78/7.33 ((~(v153(constB144) | v155(constB144))) | v153(constB144) | v155(constB144)),
% 9.78/7.34 inference(tautology,[status(thm)],[])).
% 9.78/7.34 tff(35599,plain,
% 9.78/7.34 (~(v153(constB144) | v155(constB144))),
% 9.78/7.34 inference(unit_resolution,[status(thm)],[35598, 35597, 35322])).
% 9.78/7.34 tff(35600,plain,
% 9.78/7.34 ((~(v150(constB144) <=> (v153(constB144) | v155(constB144)))) | (~v150(constB144)) | (v153(constB144) | v155(constB144))),
% 9.78/7.34 inference(tautology,[status(thm)],[])).
% 9.78/7.34 tff(35601,plain,
% 9.78/7.34 (~v150(constB144)),
% 9.78/7.34 inference(unit_resolution,[status(thm)],[35600, 35599, 35287])).
% 9.78/7.34 tff(35602,plain,
% 9.78/7.34 ((~(v152(constB145) <=> v150(constB144))) | (~v152(constB145)) | v150(constB144)),
% 9.78/7.34 inference(tautology,[status(thm)],[])).
% 9.78/7.34 tff(35603,plain,
% 9.78/7.34 (~v152(constB145)),
% 9.78/7.34 inference(unit_resolution,[status(thm)],[35602, 35601, 35285])).
% 9.78/7.34 tff(35604,plain,
% 9.78/7.34 ((~(v130(constB145) <=> v152(constB145))) | (~v130(constB145)) | v152(constB145)),
% 9.78/7.34 inference(tautology,[status(thm)],[])).
% 9.78/7.34 tff(35605,plain,
% 9.78/7.34 (~v130(constB145)),
% 9.78/7.34 inference(unit_resolution,[status(thm)],[35604, 35603, 35281])).
% 9.78/7.34 tff(35606,plain,
% 9.78/7.34 (((~v130(constB145)) | (~v154(constB145))) | v130(constB145)),
% 9.78/7.34 inference(tautology,[status(thm)],[])).
% 9.78/7.34 tff(35607,plain,
% 9.78/7.34 ((~v130(constB145)) | (~v154(constB145))),
% 9.78/7.34 inference(unit_resolution,[status(thm)],[35606, 35605])).
% 9.78/7.34 tff(35608,plain,
% 9.78/7.34 ((~(v164(constB145) <=> (~((~v130(constB145)) | (~v154(constB145)))))) | (~v164(constB145)) | (~((~v130(constB145)) | (~v154(constB145))))),
% 9.78/7.34 inference(tautology,[status(thm)],[])).
% 9.78/7.34 tff(35609,plain,
% 9.78/7.34 (~v164(constB145)),
% 9.78/7.34 inference(unit_resolution,[status(thm)],[35608, 35607, 35279])).
% 9.78/7.34 tff(35610,plain,
% 9.78/7.34 ((~(v163(constB145) | v164(constB145))) | v163(constB145) | v164(constB145)),
% 9.78/7.34 inference(tautology,[status(thm)],[])).
% 9.78/7.34 tff(35611,plain,
% 9.78/7.34 (~(v163(constB145) | v164(constB145))),
% 9.78/7.34 inference(unit_resolution,[status(thm)],[35610, 35609, 35272])).
% 9.78/7.34 tff(35612,plain,
% 9.78/7.34 ((~(v160(constB145) <=> (v163(constB145) | v164(constB145)))) | (~v160(constB145)) | (v163(constB145) | v164(constB145))),
% 9.78/7.34 inference(tautology,[status(thm)],[])).
% 9.78/7.34 tff(35613,plain,
% 9.78/7.34 (~v160(constB145)),
% 9.78/7.34 inference(unit_resolution,[status(thm)],[35612, 35611, 35199])).
% 9.78/7.34 tff(35614,plain,
% 9.78/7.34 ((~(v162(constB146) <=> v160(constB145))) | (~v162(constB146)) | v160(constB145)),
% 9.78/7.34 inference(tautology,[status(thm)],[])).
% 9.78/7.34 tff(35615,plain,
% 9.78/7.34 (~v162(constB146)),
% 9.78/7.34 inference(unit_resolution,[status(thm)],[35614, 35613, 35197])).
% 9.78/7.34 tff(35616,plain,
% 9.78/7.34 ((~(v128(constB146) <=> v162(constB146))) | (~v128(constB146)) | v162(constB146)),
% 9.78/7.34 inference(tautology,[status(thm)],[])).
% 9.78/7.34 tff(35617,plain,
% 9.78/7.34 (~v128(constB146)),
% 9.78/7.34 inference(unit_resolution,[status(thm)],[35616, 35615, 35193])).
% 9.78/7.34 tff(35618,plain,
% 9.78/7.34 (((~v128(constB146)) | (~v139(constB146))) | v128(constB146)),
% 9.78/7.34 inference(tautology,[status(thm)],[])).
% 9.78/7.34 tff(35619,plain,
% 9.78/7.34 ((~v128(constB146)) | (~v139(constB146))),
% 9.78/7.34 inference(unit_resolution,[status(thm)],[35618, 35617])).
% 9.78/7.34 tff(35620,plain,
% 9.78/7.34 ((~(v163(constB146) <=> (~((~v128(constB146)) | (~v139(constB146)))))) | (~v163(constB146)) | (~((~v128(constB146)) | (~v139(constB146))))),
% 9.78/7.34 inference(tautology,[status(thm)],[])).
% 9.78/7.34 tff(35621,plain,
% 9.78/7.34 (~v163(constB146)),
% 9.78/7.34 inference(unit_resolution,[status(thm)],[35620, 35619, 35191])).
% 9.78/7.34 tff(35622,plain,
% 9.78/7.34 ((~(v163(constB146) | v164(constB146))) | v163(constB146) | v164(constB146)),
% 9.78/7.34 inference(tautology,[status(thm)],[])).
% 9.78/7.34 tff(35623,plain,
% 9.78/7.34 (~(v163(constB146) | v164(constB146))),
% 9.78/7.34 inference(unit_resolution,[status(thm)],[35622, 35621, 35184])).
% 9.78/7.34 tff(35624,plain,
% 9.78/7.34 ((~(v160(constB146) <=> (v163(constB146) | v164(constB146)))) | (~v160(constB146)) | (v163(constB146) | v164(constB146))),
% 9.78/7.34 inference(tautology,[status(thm)],[])).
% 9.78/7.34 tff(35625,plain,
% 9.78/7.34 (~v160(constB146)),
% 9.78/7.34 inference(unit_resolution,[status(thm)],[35624, 35623, 35149])).
% 9.78/7.34 tff(35626,plain,
% 9.78/7.34 ((~(v162(constB147) <=> v160(constB146))) | (~v162(constB147)) | v160(constB146)),
% 9.78/7.34 inference(tautology,[status(thm)],[])).
% 9.78/7.34 tff(35627,plain,
% 9.78/7.34 (~v162(constB147)),
% 9.78/7.34 inference(unit_resolution,[status(thm)],[35626, 35625, 35147])).
% 9.78/7.34 tff(35628,plain,
% 9.78/7.34 ($false),
% 9.78/7.34 inference(unit_resolution,[status(thm)],[35627, 35143])).
% 9.78/7.34 tff(35629,plain,(~(constB147 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.78/7.34 tff(35630,assumption,(constB39 = VarCurr!0), introduced(assumption)).
% 9.78/7.34 tff(35631,plain,
% 9.78/7.34 (v162(constB39) <=> v162(VarCurr!0)),
% 9.78/7.34 inference(monotonicity,[status(thm)],[35630])).
% 9.78/7.34 tff(35632,plain,
% 9.78/7.34 (v162(VarCurr!0) <=> v162(constB39)),
% 9.78/7.34 inference(symmetry,[status(thm)],[35631])).
% 9.78/7.34 tff(35633,plain,
% 9.78/7.34 (v162(constB39)),
% 9.78/7.34 inference(modus_ponens,[status(thm)],[59, 35632])).
% 9.78/7.34 tff(35634,plain,
% 9.78/7.34 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB38, constB39)) | (v162(constB39) <=> v160(constB38)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB38, constB39)) | (v162(constB39) <=> v160(constB38)))),
% 9.78/7.34 inference(rewrite,[status(thm)],[])).
% 9.78/7.34 tff(35635,plain,
% 9.78/7.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB38, constB39)) | (v162(constB39) <=> v160(constB38)))),
% 9.78/7.34 inference(quant_inst,[status(thm)],[])).
% 9.78/7.34 tff(35636,plain,
% 9.78/7.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB38, constB39)) | (v162(constB39) <=> v160(constB38))),
% 9.78/7.34 inference(modus_ponens,[status(thm)],[35635, 35634])).
% 9.78/7.34 tff(35637,plain,
% 9.78/7.34 (v162(constB39) <=> v160(constB38)),
% 9.78/7.34 inference(unit_resolution,[status(thm)],[35636, 7998, 70])).
% 9.78/7.34 tff(35638,plain,
% 9.78/7.34 ((~![VarCurr: $i] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB38) <=> (v163(constB38) | v164(constB38)))),
% 9.78/7.34 inference(quant_inst,[status(thm)],[])).
% 9.78/7.34 tff(35639,plain,
% 9.78/7.34 (v160(constB38) <=> (v163(constB38) | v164(constB38))),
% 9.78/7.34 inference(unit_resolution,[status(thm)],[35638, 84])).
% 9.78/7.34 tff(35640,plain,
% 9.78/7.34 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB38) <=> (~((~v130(constB38)) | (~v154(constB38)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB38) <=> (~((~v130(constB38)) | (~v154(constB38))))))),
% 9.78/7.34 inference(rewrite,[status(thm)],[])).
% 9.78/7.34 tff(35641,plain,
% 9.78/7.34 ((v164(constB38) <=> (~((~v154(constB38)) | (~v130(constB38))))) <=> (v164(constB38) <=> (~((~v130(constB38)) | (~v154(constB38)))))),
% 9.78/7.34 inference(rewrite,[status(thm)],[])).
% 9.78/7.34 tff(35642,plain,
% 9.78/7.34 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB38) <=> (~((~v154(constB38)) | (~v130(constB38)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB38) <=> (~((~v130(constB38)) | (~v154(constB38))))))),
% 9.78/7.34 inference(monotonicity,[status(thm)],[35641])).
% 9.78/7.34 tff(35643,plain,
% 9.78/7.34 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB38) <=> (~((~v154(constB38)) | (~v130(constB38)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB38) <=> (~((~v130(constB38)) | (~v154(constB38))))))),
% 9.78/7.34 inference(transitivity,[status(thm)],[35642, 35640])).
% 9.78/7.34 tff(35644,plain,
% 9.78/7.34 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB38) <=> (~((~v154(constB38)) | (~v130(constB38)))))),
% 9.78/7.34 inference(quant_inst,[status(thm)],[])).
% 9.78/7.34 tff(35645,plain,
% 9.78/7.34 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB38) <=> (~((~v130(constB38)) | (~v154(constB38)))))),
% 9.78/7.34 inference(modus_ponens,[status(thm)],[35644, 35643])).
% 9.78/7.34 tff(35646,plain,
% 9.78/7.34 (v164(constB38) <=> (~((~v130(constB38)) | (~v154(constB38))))),
% 9.78/7.34 inference(unit_resolution,[status(thm)],[35645, 96])).
% 9.78/7.34 tff(35647,plain,
% 9.78/7.34 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB38) <=> (~((~v141(constB38)) | (~v143(constB38)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB38) <=> (~((~v141(constB38)) | (~v143(constB38))))))),
% 9.78/7.34 inference(rewrite,[status(thm)],[])).
% 9.78/7.34 tff(35648,plain,
% 9.78/7.34 ((v154(constB38) <=> (~((~v143(constB38)) | (~v141(constB38))))) <=> (v154(constB38) <=> (~((~v141(constB38)) | (~v143(constB38)))))),
% 9.78/7.34 inference(rewrite,[status(thm)],[])).
% 9.78/7.34 tff(35649,plain,
% 9.78/7.34 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB38) <=> (~((~v143(constB38)) | (~v141(constB38)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB38) <=> (~((~v141(constB38)) | (~v143(constB38))))))),
% 9.78/7.34 inference(monotonicity,[status(thm)],[35648])).
% 9.78/7.34 tff(35650,plain,
% 9.78/7.34 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB38) <=> (~((~v143(constB38)) | (~v141(constB38)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB38) <=> (~((~v141(constB38)) | (~v143(constB38))))))),
% 9.78/7.34 inference(transitivity,[status(thm)],[35649, 35647])).
% 9.78/7.34 tff(35651,plain,
% 9.78/7.34 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB38) <=> (~((~v143(constB38)) | (~v141(constB38)))))),
% 9.78/7.34 inference(quant_inst,[status(thm)],[])).
% 9.78/7.34 tff(35652,plain,
% 9.78/7.34 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB38) <=> (~((~v141(constB38)) | (~v143(constB38)))))),
% 9.78/7.34 inference(modus_ponens,[status(thm)],[35651, 35650])).
% 9.78/7.34 tff(35653,plain,
% 9.78/7.34 (v154(constB38) <=> (~((~v141(constB38)) | (~v143(constB38))))),
% 9.78/7.34 inference(unit_resolution,[status(thm)],[35652, 113])).
% 9.78/7.34 tff(35654,plain,
% 9.78/7.34 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB38) <=> (~((~v39(constB38)) | (~v9(constB38)))))),
% 9.78/7.34 inference(quant_inst,[status(thm)],[])).
% 9.78/7.34 tff(35655,plain,
% 9.78/7.34 (v141(constB38) <=> (~((~v39(constB38)) | (~v9(constB38))))),
% 9.78/7.34 inference(unit_resolution,[status(thm)],[35654, 130])).
% 9.78/7.34 tff(35656,plain,
% 9.78/7.34 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB38)) <=> v1(constB38))),
% 9.78/7.34 inference(quant_inst,[status(thm)],[])).
% 9.78/7.34 tff(35657,plain,
% 9.78/7.34 ((~v39(constB38)) <=> v1(constB38)),
% 9.78/7.34 inference(unit_resolution,[status(thm)],[35656, 139])).
% 9.78/7.34 tff(35658,plain,
% 9.78/7.34 ((~((~v39(constB38)) <=> v1(constB38))) | (~v39(constB38)) | (~v1(constB38))),
% 9.78/7.34 inference(tautology,[status(thm)],[])).
% 9.78/7.34 tff(35659,plain,
% 9.78/7.34 ((~((~v39(constB38)) <=> v1(constB38))) | (~v39(constB38))),
% 9.78/7.34 inference(unit_resolution,[status(thm)],[35658, 8060])).
% 9.78/7.34 tff(35660,plain,
% 9.78/7.34 (~v39(constB38)),
% 9.78/7.34 inference(unit_resolution,[status(thm)],[35659, 35657])).
% 9.78/7.34 tff(35661,plain,
% 9.78/7.34 (((~v39(constB38)) | (~v9(constB38))) | v39(constB38)),
% 9.78/7.34 inference(tautology,[status(thm)],[])).
% 9.78/7.34 tff(35662,plain,
% 9.78/7.34 ((~v39(constB38)) | (~v9(constB38))),
% 9.78/7.34 inference(unit_resolution,[status(thm)],[35661, 35660])).
% 9.78/7.34 tff(35663,plain,
% 9.78/7.34 ((~(v141(constB38) <=> (~((~v39(constB38)) | (~v9(constB38)))))) | (~v141(constB38)) | (~((~v39(constB38)) | (~v9(constB38))))),
% 9.78/7.34 inference(tautology,[status(thm)],[])).
% 9.78/7.34 tff(35664,plain,
% 9.78/7.34 ((~(v141(constB38) <=> (~((~v39(constB38)) | (~v9(constB38)))))) | (~v141(constB38))),
% 9.78/7.34 inference(unit_resolution,[status(thm)],[35663, 35662])).
% 9.78/7.34 tff(35665,plain,
% 9.78/7.34 (~v141(constB38)),
% 9.78/7.34 inference(unit_resolution,[status(thm)],[35664, 35655])).
% 9.78/7.34 tff(35666,plain,
% 9.78/7.34 (((~v141(constB38)) | (~v143(constB38))) | v141(constB38)),
% 9.78/7.34 inference(tautology,[status(thm)],[])).
% 9.78/7.34 tff(35667,plain,
% 9.78/7.34 ((~v141(constB38)) | (~v143(constB38))),
% 9.78/7.34 inference(unit_resolution,[status(thm)],[35666, 35665])).
% 9.78/7.34 tff(35668,plain,
% 9.78/7.34 ((~(v154(constB38) <=> (~((~v141(constB38)) | (~v143(constB38)))))) | (~v154(constB38)) | (~((~v141(constB38)) | (~v143(constB38))))),
% 9.78/7.34 inference(tautology,[status(thm)],[])).
% 9.78/7.34 tff(35669,plain,
% 9.78/7.34 ((~(v154(constB38) <=> (~((~v141(constB38)) | (~v143(constB38)))))) | (~v154(constB38))),
% 9.78/7.34 inference(unit_resolution,[status(thm)],[35668, 35667])).
% 9.78/7.34 tff(35670,plain,
% 9.78/7.34 (~v154(constB38)),
% 9.78/7.34 inference(unit_resolution,[status(thm)],[35669, 35653])).
% 9.78/7.34 tff(35671,plain,
% 9.78/7.34 (((~v130(constB38)) | (~v154(constB38))) | v154(constB38)),
% 9.78/7.34 inference(tautology,[status(thm)],[])).
% 9.78/7.34 tff(35672,plain,
% 9.78/7.34 ((~v130(constB38)) | (~v154(constB38))),
% 9.78/7.34 inference(unit_resolution,[status(thm)],[35671, 35670])).
% 9.78/7.34 tff(35673,plain,
% 9.78/7.34 ((~(v164(constB38) <=> (~((~v130(constB38)) | (~v154(constB38)))))) | (~v164(constB38)) | (~((~v130(constB38)) | (~v154(constB38))))),
% 9.78/7.34 inference(tautology,[status(thm)],[])).
% 9.78/7.34 tff(35674,plain,
% 9.78/7.34 (~v164(constB38)),
% 9.78/7.34 inference(unit_resolution,[status(thm)],[35673, 35672, 35646])).
% 9.78/7.34 tff(35675,plain,
% 9.78/7.34 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB38) <=> (~((~v128(constB38)) | (~v139(constB38)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB38) <=> (~((~v128(constB38)) | (~v139(constB38))))))),
% 9.78/7.34 inference(rewrite,[status(thm)],[])).
% 9.78/7.34 tff(35676,plain,
% 9.78/7.34 ((v163(constB38) <=> (~((~v139(constB38)) | (~v128(constB38))))) <=> (v163(constB38) <=> (~((~v128(constB38)) | (~v139(constB38)))))),
% 9.78/7.34 inference(rewrite,[status(thm)],[])).
% 9.78/7.34 tff(35677,plain,
% 9.78/7.34 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB38) <=> (~((~v139(constB38)) | (~v128(constB38)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB38) <=> (~((~v128(constB38)) | (~v139(constB38))))))),
% 9.78/7.34 inference(monotonicity,[status(thm)],[35676])).
% 9.78/7.34 tff(35678,plain,
% 9.78/7.34 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB38) <=> (~((~v139(constB38)) | (~v128(constB38)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB38) <=> (~((~v128(constB38)) | (~v139(constB38))))))),
% 9.78/7.34 inference(transitivity,[status(thm)],[35677, 35675])).
% 9.78/7.34 tff(35679,plain,
% 9.78/7.34 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB38) <=> (~((~v139(constB38)) | (~v128(constB38)))))),
% 9.78/7.34 inference(quant_inst,[status(thm)],[])).
% 9.78/7.34 tff(35680,plain,
% 9.78/7.34 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB38) <=> (~((~v128(constB38)) | (~v139(constB38)))))),
% 9.78/7.34 inference(modus_ponens,[status(thm)],[35679, 35678])).
% 9.78/7.34 tff(35681,plain,
% 9.78/7.34 (v163(constB38) <=> (~((~v128(constB38)) | (~v139(constB38))))),
% 9.78/7.34 inference(unit_resolution,[status(thm)],[35680, 171])).
% 9.78/7.34 tff(35682,plain,
% 9.78/7.34 ((~![VarNext: $i] : (v128(VarNext) <=> v162(VarNext))) | (v128(constB38) <=> v162(constB38))),
% 9.78/7.34 inference(quant_inst,[status(thm)],[])).
% 9.78/7.34 tff(35683,plain,
% 9.78/7.34 (v128(constB38) <=> v162(constB38)),
% 9.78/7.34 inference(unit_resolution,[status(thm)],[35682, 13])).
% 9.78/7.34 tff(35684,plain,
% 9.78/7.34 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB37, constB38)) | (v162(constB38) <=> v160(constB37)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB37, constB38)) | (v162(constB38) <=> v160(constB37)))),
% 9.78/7.34 inference(rewrite,[status(thm)],[])).
% 9.78/7.34 tff(35685,plain,
% 9.78/7.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB37, constB38)) | (v162(constB38) <=> v160(constB37)))),
% 9.78/7.34 inference(quant_inst,[status(thm)],[])).
% 9.78/7.34 tff(35686,plain,
% 9.78/7.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB37, constB38)) | (v162(constB38) <=> v160(constB37))),
% 9.78/7.34 inference(modus_ponens,[status(thm)],[35685, 35684])).
% 9.78/7.34 tff(35687,plain,
% 9.78/7.34 (v162(constB38) <=> v160(constB37)),
% 9.78/7.34 inference(unit_resolution,[status(thm)],[35686, 8030, 70])).
% 9.78/7.34 tff(35688,plain,
% 9.78/7.34 ((~![VarCurr: $i] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB37) <=> (v163(constB37) | v164(constB37)))),
% 9.78/7.34 inference(quant_inst,[status(thm)],[])).
% 9.78/7.34 tff(35689,plain,
% 9.78/7.34 (v160(constB37) <=> (v163(constB37) | v164(constB37))),
% 9.78/7.34 inference(unit_resolution,[status(thm)],[35688, 84])).
% 9.78/7.34 tff(35690,plain,
% 9.78/7.34 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB37) <=> (~((~v128(constB37)) | (~v139(constB37)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB37) <=> (~((~v128(constB37)) | (~v139(constB37))))))),
% 9.78/7.34 inference(rewrite,[status(thm)],[])).
% 9.78/7.34 tff(35691,plain,
% 9.78/7.34 ((v163(constB37) <=> (~((~v139(constB37)) | (~v128(constB37))))) <=> (v163(constB37) <=> (~((~v128(constB37)) | (~v139(constB37)))))),
% 9.78/7.34 inference(rewrite,[status(thm)],[])).
% 9.78/7.34 tff(35692,plain,
% 9.78/7.34 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB37) <=> (~((~v139(constB37)) | (~v128(constB37)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB37) <=> (~((~v128(constB37)) | (~v139(constB37))))))),
% 9.78/7.34 inference(monotonicity,[status(thm)],[35691])).
% 9.78/7.34 tff(35693,plain,
% 9.78/7.34 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB37) <=> (~((~v139(constB37)) | (~v128(constB37)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB37) <=> (~((~v128(constB37)) | (~v139(constB37))))))),
% 9.78/7.34 inference(transitivity,[status(thm)],[35692, 35690])).
% 9.78/7.34 tff(35694,plain,
% 9.78/7.34 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB37) <=> (~((~v139(constB37)) | (~v128(constB37)))))),
% 9.78/7.34 inference(quant_inst,[status(thm)],[])).
% 9.78/7.34 tff(35695,plain,
% 9.78/7.34 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB37) <=> (~((~v128(constB37)) | (~v139(constB37)))))),
% 9.78/7.34 inference(modus_ponens,[status(thm)],[35694, 35693])).
% 9.78/7.34 tff(35696,plain,
% 9.78/7.34 (v163(constB37) <=> (~((~v128(constB37)) | (~v139(constB37))))),
% 9.78/7.34 inference(unit_resolution,[status(thm)],[35695, 171])).
% 9.78/7.34 tff(35697,plain,
% 9.78/7.34 ((~![VarCurr: $i] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB37)) <=> v140(constB37))),
% 9.78/7.34 inference(quant_inst,[status(thm)],[])).
% 9.78/7.34 tff(35698,plain,
% 9.78/7.34 ((~v139(constB37)) <=> v140(constB37)),
% 9.78/7.34 inference(unit_resolution,[status(thm)],[35697, 203])).
% 9.78/7.34 tff(35699,plain,
% 9.78/7.34 ((~![VarCurr: $i] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB37) <=> (v141(constB37) | v26(constB37)))),
% 9.78/7.34 inference(quant_inst,[status(thm)],[])).
% 9.78/7.34 tff(35700,plain,
% 9.78/7.34 (v140(constB37) <=> (v141(constB37) | v26(constB37))),
% 9.78/7.34 inference(unit_resolution,[status(thm)],[35699, 212])).
% 9.78/7.34 tff(35701,plain,
% 9.78/7.34 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB37) <=> (~((~v39(constB37)) | (~v9(constB37)))))),
% 9.78/7.34 inference(quant_inst,[status(thm)],[])).
% 9.78/7.34 tff(35702,plain,
% 9.78/7.34 (v141(constB37) <=> (~((~v39(constB37)) | (~v9(constB37))))),
% 9.78/7.34 inference(unit_resolution,[status(thm)],[35701, 130])).
% 9.78/7.34 tff(35703,plain,
% 9.78/7.34 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB37, constB38)) | (v13(constB38) <=> v9(constB37)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB37, constB38)) | (v13(constB38) <=> v9(constB37)))),
% 9.78/7.34 inference(rewrite,[status(thm)],[])).
% 9.78/7.34 tff(35704,plain,
% 9.78/7.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB37, constB38)) | (v13(constB38) <=> v9(constB37)))),
% 9.78/7.34 inference(quant_inst,[status(thm)],[])).
% 9.78/7.34 tff(35705,plain,
% 9.78/7.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB37, constB38)) | (v13(constB38) <=> v9(constB37))),
% 9.78/7.34 inference(modus_ponens,[status(thm)],[35704, 35703])).
% 9.78/7.34 tff(35706,plain,
% 9.78/7.34 (v13(constB38) <=> v9(constB37)),
% 9.78/7.34 inference(unit_resolution,[status(thm)],[35705, 8030, 226])).
% 9.78/7.34 tff(35707,plain,
% 9.78/7.34 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB38) <=> v13(constB38))),
% 9.78/7.34 inference(quant_inst,[status(thm)],[])).
% 9.78/7.34 tff(35708,plain,
% 9.78/7.34 (v6(constB38) <=> v13(constB38)),
% 9.78/7.34 inference(unit_resolution,[status(thm)],[35707, 240])).
% 9.78/7.34 tff(35709,plain,
% 9.78/7.34 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB38)) <=> v6(constB38))),
% 9.78/7.34 inference(quant_inst,[status(thm)],[])).
% 9.78/7.34 tff(35710,plain,
% 9.78/7.34 ((~v21(constB38)) <=> v6(constB38)),
% 9.78/7.34 inference(unit_resolution,[status(thm)],[35709, 249])).
% 9.78/7.34 tff(35711,plain,
% 9.78/7.34 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB38) <=> (v20(constB38) | v21(constB38)))),
% 9.78/7.34 inference(quant_inst,[status(thm)],[])).
% 9.78/7.34 tff(35712,plain,
% 9.78/7.34 (v19(constB38) <=> (v20(constB38) | v21(constB38))),
% 9.78/7.34 inference(unit_resolution,[status(thm)],[35711, 258])).
% 9.78/7.34 tff(35713,plain,
% 9.78/7.34 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB38) <=> (~((~v19(constB38)) | (~v22(constB38)))))),
% 9.78/7.34 inference(quant_inst,[status(thm)],[])).
% 9.78/7.34 tff(35714,plain,
% 9.78/7.34 (v18(constB38) <=> (~((~v19(constB38)) | (~v22(constB38))))),
% 9.78/7.34 inference(unit_resolution,[status(thm)],[35713, 270])).
% 9.78/7.34 tff(35715,plain,
% 9.78/7.34 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB38)) <=> v18(constB38))),
% 9.78/7.34 inference(quant_inst,[status(thm)],[])).
% 9.78/7.34 tff(35716,plain,
% 9.78/7.34 ((~v4(constB38)) <=> v18(constB38)),
% 9.78/7.34 inference(unit_resolution,[status(thm)],[35715, 279])).
% 9.78/7.34 tff(35717,plain,
% 9.78/7.34 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB38)),
% 9.78/7.34 inference(quant_inst,[status(thm)],[])).
% 9.78/7.34 tff(35718,plain,
% 9.78/7.34 (v4(constB38)),
% 9.78/7.34 inference(unit_resolution,[status(thm)],[35717, 288])).
% 9.78/7.34 tff(35719,plain,
% 9.78/7.34 ((~((~v4(constB38)) <=> v18(constB38))) | (~v4(constB38)) | (~v18(constB38))),
% 9.78/7.34 inference(tautology,[status(thm)],[])).
% 9.78/7.34 tff(35720,plain,
% 9.78/7.34 (~v18(constB38)),
% 9.78/7.34 inference(unit_resolution,[status(thm)],[35719, 35718, 35716])).
% 9.78/7.34 tff(35721,plain,
% 9.78/7.34 ((~(v18(constB38) <=> (~((~v19(constB38)) | (~v22(constB38)))))) | v18(constB38) | ((~v19(constB38)) | (~v22(constB38)))),
% 9.78/7.34 inference(tautology,[status(thm)],[])).
% 9.78/7.34 tff(35722,plain,
% 9.78/7.34 ((~v19(constB38)) | (~v22(constB38))),
% 9.78/7.34 inference(unit_resolution,[status(thm)],[35721, 35720, 35714])).
% 9.78/7.34 tff(35723,plain,
% 9.78/7.34 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB38) <=> (v1(constB38) | v6(constB38)))),
% 9.78/7.34 inference(quant_inst,[status(thm)],[])).
% 9.78/7.34 tff(35724,plain,
% 9.78/7.34 (v22(constB38) <=> (v1(constB38) | v6(constB38))),
% 9.78/7.34 inference(unit_resolution,[status(thm)],[35723, 301])).
% 9.78/7.34 tff(35725,plain,
% 9.78/7.34 ((v1(constB38) | v6(constB38)) | (~v1(constB38))),
% 9.78/7.34 inference(tautology,[status(thm)],[])).
% 9.78/7.34 tff(35726,plain,
% 9.78/7.34 (v1(constB38) | v6(constB38)),
% 9.78/7.34 inference(unit_resolution,[status(thm)],[35725, 8060])).
% 9.78/7.34 tff(35727,plain,
% 9.78/7.34 ((~(v22(constB38) <=> (v1(constB38) | v6(constB38)))) | v22(constB38) | (~(v1(constB38) | v6(constB38)))),
% 9.78/7.34 inference(tautology,[status(thm)],[])).
% 9.78/7.34 tff(35728,plain,
% 9.78/7.34 ((~(v22(constB38) <=> (v1(constB38) | v6(constB38)))) | v22(constB38)),
% 9.78/7.34 inference(unit_resolution,[status(thm)],[35727, 35726])).
% 9.78/7.34 tff(35729,plain,
% 9.78/7.34 (v22(constB38)),
% 9.78/7.34 inference(unit_resolution,[status(thm)],[35728, 35724])).
% 9.78/7.34 tff(35730,plain,
% 9.78/7.34 ((~((~v19(constB38)) | (~v22(constB38)))) | (~v19(constB38)) | (~v22(constB38))),
% 9.78/7.34 inference(tautology,[status(thm)],[])).
% 9.78/7.34 tff(35731,plain,
% 9.78/7.34 ((~((~v19(constB38)) | (~v22(constB38)))) | (~v19(constB38))),
% 9.78/7.34 inference(unit_resolution,[status(thm)],[35730, 35729])).
% 9.78/7.34 tff(35732,plain,
% 9.78/7.34 (~v19(constB38)),
% 9.78/7.34 inference(unit_resolution,[status(thm)],[35731, 35722])).
% 9.78/7.34 tff(35733,plain,
% 9.78/7.34 ((~(v19(constB38) <=> (v20(constB38) | v21(constB38)))) | v19(constB38) | (~(v20(constB38) | v21(constB38)))),
% 9.78/7.34 inference(tautology,[status(thm)],[])).
% 9.78/7.34 tff(35734,plain,
% 9.78/7.34 (~(v20(constB38) | v21(constB38))),
% 9.78/7.34 inference(unit_resolution,[status(thm)],[35733, 35732, 35712])).
% 9.78/7.34 tff(35735,plain,
% 9.78/7.34 ((v20(constB38) | v21(constB38)) | (~v21(constB38))),
% 9.78/7.34 inference(tautology,[status(thm)],[])).
% 9.78/7.34 tff(35736,plain,
% 9.78/7.34 (~v21(constB38)),
% 9.78/7.34 inference(unit_resolution,[status(thm)],[35735, 35734])).
% 9.78/7.34 tff(35737,plain,
% 9.78/7.34 ((~((~v21(constB38)) <=> v6(constB38))) | v21(constB38) | v6(constB38)),
% 9.78/7.34 inference(tautology,[status(thm)],[])).
% 9.78/7.34 tff(35738,plain,
% 9.78/7.34 (v6(constB38)),
% 9.78/7.34 inference(unit_resolution,[status(thm)],[35737, 35736, 35710])).
% 9.78/7.34 tff(35739,plain,
% 9.78/7.34 ((~(v6(constB38) <=> v13(constB38))) | (~v6(constB38)) | v13(constB38)),
% 9.78/7.34 inference(tautology,[status(thm)],[])).
% 9.78/7.34 tff(35740,plain,
% 9.78/7.34 (v13(constB38)),
% 9.78/7.34 inference(unit_resolution,[status(thm)],[35739, 35738, 35708])).
% 9.78/7.34 tff(35741,plain,
% 9.78/7.34 ((~(v13(constB38) <=> v9(constB37))) | (~v13(constB38)) | v9(constB37)),
% 9.78/7.34 inference(tautology,[status(thm)],[])).
% 9.78/7.34 tff(35742,plain,
% 9.78/7.34 (v9(constB37)),
% 9.78/7.34 inference(unit_resolution,[status(thm)],[35741, 35740, 35706])).
% 9.78/7.34 tff(35743,plain,
% 9.78/7.34 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB37)) <=> v1(constB37))),
% 9.78/7.34 inference(quant_inst,[status(thm)],[])).
% 9.78/7.34 tff(35744,plain,
% 9.78/7.34 ((~v39(constB37)) <=> v1(constB37)),
% 9.78/7.34 inference(unit_resolution,[status(thm)],[35743, 139])).
% 9.78/7.34 tff(35745,plain,
% 9.78/7.34 ((~((~v39(constB37)) <=> v1(constB37))) | v39(constB37) | v1(constB37)),
% 9.78/7.34 inference(tautology,[status(thm)],[])).
% 9.78/7.34 tff(35746,plain,
% 9.78/7.34 ((~((~v39(constB37)) <=> v1(constB37))) | v39(constB37)),
% 9.78/7.34 inference(unit_resolution,[status(thm)],[35745, 8052])).
% 9.78/7.34 tff(35747,plain,
% 9.78/7.34 (v39(constB37)),
% 9.78/7.34 inference(unit_resolution,[status(thm)],[35746, 35744])).
% 9.78/7.34 tff(35748,plain,
% 9.78/7.34 ((~((~v39(constB37)) | (~v9(constB37)))) | (~v39(constB37)) | (~v9(constB37))),
% 9.78/7.34 inference(tautology,[status(thm)],[])).
% 9.78/7.34 tff(35749,plain,
% 9.78/7.34 ((~((~v39(constB37)) | (~v9(constB37)))) | (~v9(constB37))),
% 9.78/7.34 inference(unit_resolution,[status(thm)],[35748, 35747])).
% 9.78/7.34 tff(35750,plain,
% 9.78/7.34 (~((~v39(constB37)) | (~v9(constB37)))),
% 9.78/7.34 inference(unit_resolution,[status(thm)],[35749, 35742])).
% 9.78/7.34 tff(35751,plain,
% 9.78/7.34 ((~(v141(constB37) <=> (~((~v39(constB37)) | (~v9(constB37)))))) | v141(constB37) | ((~v39(constB37)) | (~v9(constB37)))),
% 9.78/7.34 inference(tautology,[status(thm)],[])).
% 9.78/7.34 tff(35752,plain,
% 9.78/7.34 (v141(constB37)),
% 9.78/7.34 inference(unit_resolution,[status(thm)],[35751, 35750, 35702])).
% 9.78/7.34 tff(35753,plain,
% 9.78/7.34 ((v141(constB37) | v26(constB37)) | (~v141(constB37))),
% 9.78/7.34 inference(tautology,[status(thm)],[])).
% 9.78/7.34 tff(35754,plain,
% 9.78/7.34 (v141(constB37) | v26(constB37)),
% 9.78/7.34 inference(unit_resolution,[status(thm)],[35753, 35752])).
% 9.78/7.34 tff(35755,plain,
% 9.78/7.34 ((~(v140(constB37) <=> (v141(constB37) | v26(constB37)))) | v140(constB37) | (~(v141(constB37) | v26(constB37)))),
% 9.78/7.34 inference(tautology,[status(thm)],[])).
% 9.78/7.34 tff(35756,plain,
% 9.78/7.34 (v140(constB37)),
% 9.78/7.34 inference(unit_resolution,[status(thm)],[35755, 35754, 35700])).
% 9.78/7.34 tff(35757,plain,
% 9.78/7.34 ((~((~v139(constB37)) <=> v140(constB37))) | (~v139(constB37)) | (~v140(constB37))),
% 9.78/7.34 inference(tautology,[status(thm)],[])).
% 9.78/7.34 tff(35758,plain,
% 9.78/7.34 (~v139(constB37)),
% 9.78/7.34 inference(unit_resolution,[status(thm)],[35757, 35756, 35698])).
% 9.78/7.34 tff(35759,plain,
% 9.78/7.34 (((~v128(constB37)) | (~v139(constB37))) | v139(constB37)),
% 9.78/7.34 inference(tautology,[status(thm)],[])).
% 9.78/7.34 tff(35760,plain,
% 9.78/7.34 ((~v128(constB37)) | (~v139(constB37))),
% 9.78/7.34 inference(unit_resolution,[status(thm)],[35759, 35758])).
% 9.78/7.34 tff(35761,plain,
% 9.78/7.34 ((~(v163(constB37) <=> (~((~v128(constB37)) | (~v139(constB37)))))) | (~v163(constB37)) | (~((~v128(constB37)) | (~v139(constB37))))),
% 9.78/7.34 inference(tautology,[status(thm)],[])).
% 9.78/7.34 tff(35762,plain,
% 9.78/7.34 (~v163(constB37)),
% 9.78/7.34 inference(unit_resolution,[status(thm)],[35761, 35760, 35696])).
% 9.78/7.34 tff(35763,plain,
% 9.78/7.34 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB37) <=> (~((~v130(constB37)) | (~v154(constB37)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB37) <=> (~((~v130(constB37)) | (~v154(constB37))))))),
% 9.78/7.34 inference(rewrite,[status(thm)],[])).
% 9.78/7.34 tff(35764,plain,
% 9.78/7.34 ((v164(constB37) <=> (~((~v154(constB37)) | (~v130(constB37))))) <=> (v164(constB37) <=> (~((~v130(constB37)) | (~v154(constB37)))))),
% 9.78/7.34 inference(rewrite,[status(thm)],[])).
% 9.78/7.34 tff(35765,plain,
% 9.78/7.34 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB37) <=> (~((~v154(constB37)) | (~v130(constB37)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB37) <=> (~((~v130(constB37)) | (~v154(constB37))))))),
% 9.78/7.34 inference(monotonicity,[status(thm)],[35764])).
% 9.78/7.34 tff(35766,plain,
% 9.78/7.34 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB37) <=> (~((~v154(constB37)) | (~v130(constB37)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB37) <=> (~((~v130(constB37)) | (~v154(constB37))))))),
% 9.78/7.34 inference(transitivity,[status(thm)],[35765, 35763])).
% 9.78/7.34 tff(35767,plain,
% 9.78/7.34 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB37) <=> (~((~v154(constB37)) | (~v130(constB37)))))),
% 9.78/7.34 inference(quant_inst,[status(thm)],[])).
% 9.78/7.34 tff(35768,plain,
% 9.78/7.34 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB37) <=> (~((~v130(constB37)) | (~v154(constB37)))))),
% 9.78/7.34 inference(modus_ponens,[status(thm)],[35767, 35766])).
% 9.78/7.34 tff(35769,plain,
% 9.78/7.34 (v164(constB37) <=> (~((~v130(constB37)) | (~v154(constB37))))),
% 9.78/7.34 inference(unit_resolution,[status(thm)],[35768, 96])).
% 9.78/7.34 tff(35770,plain,
% 9.78/7.34 ((~![VarNext: $i] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB37) <=> v152(constB37))),
% 9.78/7.34 inference(quant_inst,[status(thm)],[])).
% 9.78/7.34 tff(35771,plain,
% 9.78/7.34 (v130(constB37) <=> v152(constB37)),
% 9.78/7.34 inference(unit_resolution,[status(thm)],[35770, 361])).
% 9.78/7.34 tff(35772,plain,
% 9.78/7.34 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB36, constB37)) | (v152(constB37) <=> v150(constB36)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB36, constB37)) | (v152(constB37) <=> v150(constB36)))),
% 9.78/7.34 inference(rewrite,[status(thm)],[])).
% 9.78/7.34 tff(35773,plain,
% 9.78/7.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB36, constB37)) | (v152(constB37) <=> v150(constB36)))),
% 9.78/7.34 inference(quant_inst,[status(thm)],[])).
% 9.78/7.34 tff(35774,plain,
% 9.78/7.34 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB36, constB37)) | (v152(constB37) <=> v150(constB36))),
% 9.78/7.34 inference(modus_ponens,[status(thm)],[35773, 35772])).
% 9.78/7.34 tff(35775,plain,
% 9.78/7.34 (v152(constB37) <=> v150(constB36)),
% 9.78/7.34 inference(unit_resolution,[status(thm)],[35774, 8085, 373])).
% 9.78/7.34 tff(35776,plain,
% 9.78/7.34 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v153(VarCurr) | v155(VarCurr)))) | (v150(constB36) <=> (v153(constB36) | v155(constB36)))),
% 9.78/7.34 inference(quant_inst,[status(thm)],[])).
% 9.78/7.34 tff(35777,plain,
% 9.78/7.34 (v150(constB36) <=> (v153(constB36) | v155(constB36))),
% 9.78/7.34 inference(unit_resolution,[status(thm)],[35776, 387])).
% 9.78/7.34 tff(35778,plain,
% 9.78/7.34 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB36) <=> (~((~v132(constB36)) | (~v154(constB36)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB36) <=> (~((~v132(constB36)) | (~v154(constB36))))))),
% 9.78/7.34 inference(rewrite,[status(thm)],[])).
% 9.78/7.34 tff(35779,plain,
% 9.78/7.34 ((v153(constB36) <=> (~((~v154(constB36)) | (~v132(constB36))))) <=> (v153(constB36) <=> (~((~v132(constB36)) | (~v154(constB36)))))),
% 9.78/7.34 inference(rewrite,[status(thm)],[])).
% 9.78/7.34 tff(35780,plain,
% 9.78/7.34 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB36) <=> (~((~v154(constB36)) | (~v132(constB36)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB36) <=> (~((~v132(constB36)) | (~v154(constB36))))))),
% 9.78/7.34 inference(monotonicity,[status(thm)],[35779])).
% 9.78/7.34 tff(35781,plain,
% 9.78/7.34 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB36) <=> (~((~v154(constB36)) | (~v132(constB36)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB36) <=> (~((~v132(constB36)) | (~v154(constB36))))))),
% 9.78/7.34 inference(transitivity,[status(thm)],[35780, 35778])).
% 9.78/7.34 tff(35782,plain,
% 9.78/7.34 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB36) <=> (~((~v154(constB36)) | (~v132(constB36)))))),
% 9.78/7.34 inference(quant_inst,[status(thm)],[])).
% 9.78/7.34 tff(35783,plain,
% 9.78/7.34 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB36) <=> (~((~v132(constB36)) | (~v154(constB36)))))),
% 9.78/7.34 inference(modus_ponens,[status(thm)],[35782, 35781])).
% 9.78/7.34 tff(35784,plain,
% 9.78/7.34 (v153(constB36) <=> (~((~v132(constB36)) | (~v154(constB36))))),
% 9.78/7.34 inference(unit_resolution,[status(thm)],[35783, 399])).
% 9.78/7.34 tff(35785,plain,
% 9.78/7.34 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB36) <=> (~((~v141(constB36)) | (~v143(constB36)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB36) <=> (~((~v141(constB36)) | (~v143(constB36))))))),
% 9.78/7.34 inference(rewrite,[status(thm)],[])).
% 9.78/7.34 tff(35786,plain,
% 9.78/7.34 ((v154(constB36) <=> (~((~v143(constB36)) | (~v141(constB36))))) <=> (v154(constB36) <=> (~((~v141(constB36)) | (~v143(constB36)))))),
% 9.78/7.34 inference(rewrite,[status(thm)],[])).
% 9.78/7.34 tff(35787,plain,
% 9.78/7.34 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB36) <=> (~((~v143(constB36)) | (~v141(constB36)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB36) <=> (~((~v141(constB36)) | (~v143(constB36))))))),
% 9.78/7.34 inference(monotonicity,[status(thm)],[35786])).
% 9.78/7.34 tff(35788,plain,
% 9.78/7.34 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB36) <=> (~((~v143(constB36)) | (~v141(constB36)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB36) <=> (~((~v141(constB36)) | (~v143(constB36))))))),
% 9.78/7.34 inference(transitivity,[status(thm)],[35787, 35785])).
% 9.78/7.34 tff(35789,plain,
% 9.78/7.34 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB36) <=> (~((~v143(constB36)) | (~v141(constB36)))))),
% 9.78/7.34 inference(quant_inst,[status(thm)],[])).
% 9.78/7.34 tff(35790,plain,
% 9.78/7.34 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB36) <=> (~((~v141(constB36)) | (~v143(constB36)))))),
% 9.78/7.34 inference(modus_ponens,[status(thm)],[35789, 35788])).
% 9.78/7.34 tff(35791,plain,
% 9.78/7.34 (v154(constB36) <=> (~((~v141(constB36)) | (~v143(constB36))))),
% 9.78/7.34 inference(unit_resolution,[status(thm)],[35790, 113])).
% 9.78/7.34 tff(35792,plain,
% 9.78/7.34 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB36) <=> (~((~v39(constB36)) | (~v9(constB36)))))),
% 9.78/7.34 inference(quant_inst,[status(thm)],[])).
% 9.78/7.34 tff(35793,plain,
% 9.78/7.34 (v141(constB36) <=> (~((~v39(constB36)) | (~v9(constB36))))),
% 9.78/7.34 inference(unit_resolution,[status(thm)],[35792, 130])).
% 9.78/7.34 tff(35794,plain,
% 9.78/7.34 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB36)) <=> v1(constB36))),
% 9.78/7.34 inference(quant_inst,[status(thm)],[])).
% 9.78/7.34 tff(35795,plain,
% 9.78/7.34 ((~v39(constB36)) <=> v1(constB36)),
% 9.78/7.34 inference(unit_resolution,[status(thm)],[35794, 139])).
% 9.78/7.34 tff(35796,plain,
% 9.78/7.34 ((~((~v39(constB36)) <=> v1(constB36))) | (~v39(constB36)) | (~v1(constB36))),
% 9.78/7.34 inference(tautology,[status(thm)],[])).
% 9.78/7.34 tff(35797,plain,
% 9.78/7.34 ((~((~v39(constB36)) <=> v1(constB36))) | (~v39(constB36))),
% 9.78/7.34 inference(unit_resolution,[status(thm)],[35796, 8147])).
% 9.78/7.34 tff(35798,plain,
% 9.78/7.34 (~v39(constB36)),
% 9.78/7.34 inference(unit_resolution,[status(thm)],[35797, 35795])).
% 9.78/7.34 tff(35799,plain,
% 9.78/7.34 (((~v39(constB36)) | (~v9(constB36))) | v39(constB36)),
% 9.78/7.34 inference(tautology,[status(thm)],[])).
% 9.78/7.34 tff(35800,plain,
% 9.78/7.34 ((~v39(constB36)) | (~v9(constB36))),
% 9.78/7.34 inference(unit_resolution,[status(thm)],[35799, 35798])).
% 9.78/7.34 tff(35801,plain,
% 9.78/7.34 ((~(v141(constB36) <=> (~((~v39(constB36)) | (~v9(constB36)))))) | (~v141(constB36)) | (~((~v39(constB36)) | (~v9(constB36))))),
% 9.78/7.34 inference(tautology,[status(thm)],[])).
% 9.78/7.34 tff(35802,plain,
% 9.78/7.34 ((~(v141(constB36) <=> (~((~v39(constB36)) | (~v9(constB36)))))) | (~v141(constB36))),
% 9.78/7.34 inference(unit_resolution,[status(thm)],[35801, 35800])).
% 9.78/7.34 tff(35803,plain,
% 9.78/7.34 (~v141(constB36)),
% 9.78/7.34 inference(unit_resolution,[status(thm)],[35802, 35793])).
% 9.78/7.34 tff(35804,plain,
% 9.78/7.34 (((~v141(constB36)) | (~v143(constB36))) | v141(constB36)),
% 9.78/7.34 inference(tautology,[status(thm)],[])).
% 9.78/7.34 tff(35805,plain,
% 9.78/7.34 ((~v141(constB36)) | (~v143(constB36))),
% 9.78/7.34 inference(unit_resolution,[status(thm)],[35804, 35803])).
% 9.78/7.34 tff(35806,plain,
% 9.78/7.34 ((~(v154(constB36) <=> (~((~v141(constB36)) | (~v143(constB36)))))) | (~v154(constB36)) | (~((~v141(constB36)) | (~v143(constB36))))),
% 9.78/7.34 inference(tautology,[status(thm)],[])).
% 9.78/7.34 tff(35807,plain,
% 9.78/7.34 ((~(v154(constB36) <=> (~((~v141(constB36)) | (~v143(constB36)))))) | (~v154(constB36))),
% 9.78/7.34 inference(unit_resolution,[status(thm)],[35806, 35805])).
% 9.78/7.34 tff(35808,plain,
% 9.78/7.34 (~v154(constB36)),
% 9.78/7.34 inference(unit_resolution,[status(thm)],[35807, 35791])).
% 9.78/7.34 tff(35809,plain,
% 9.78/7.34 (((~v132(constB36)) | (~v154(constB36))) | v154(constB36)),
% 9.78/7.34 inference(tautology,[status(thm)],[])).
% 9.78/7.34 tff(35810,plain,
% 9.78/7.34 ((~v132(constB36)) | (~v154(constB36))),
% 9.78/7.34 inference(unit_resolution,[status(thm)],[35809, 35808])).
% 9.78/7.34 tff(35811,plain,
% 9.78/7.34 ((~(v153(constB36) <=> (~((~v132(constB36)) | (~v154(constB36)))))) | (~v153(constB36)) | (~((~v132(constB36)) | (~v154(constB36))))),
% 9.78/7.34 inference(tautology,[status(thm)],[])).
% 9.78/7.34 tff(35812,plain,
% 9.78/7.34 (~v153(constB36)),
% 9.78/7.34 inference(unit_resolution,[status(thm)],[35811, 35810, 35784])).
% 9.78/7.34 tff(35813,plain,
% 9.78/7.34 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB36) <=> (~((~v130(constB36)) | (~v139(constB36)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB36) <=> (~((~v130(constB36)) | (~v139(constB36))))))),
% 9.78/7.34 inference(rewrite,[status(thm)],[])).
% 9.78/7.34 tff(35814,plain,
% 9.78/7.34 ((v155(constB36) <=> (~((~v139(constB36)) | (~v130(constB36))))) <=> (v155(constB36) <=> (~((~v130(constB36)) | (~v139(constB36)))))),
% 9.78/7.34 inference(rewrite,[status(thm)],[])).
% 9.78/7.34 tff(35815,plain,
% 9.78/7.34 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB36) <=> (~((~v139(constB36)) | (~v130(constB36)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB36) <=> (~((~v130(constB36)) | (~v139(constB36))))))),
% 9.78/7.34 inference(monotonicity,[status(thm)],[35814])).
% 9.78/7.34 tff(35816,plain,
% 9.78/7.34 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB36) <=> (~((~v139(constB36)) | (~v130(constB36)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB36) <=> (~((~v130(constB36)) | (~v139(constB36))))))),
% 9.78/7.34 inference(transitivity,[status(thm)],[35815, 35813])).
% 9.78/7.34 tff(35817,plain,
% 9.78/7.34 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB36) <=> (~((~v139(constB36)) | (~v130(constB36)))))),
% 9.78/7.34 inference(quant_inst,[status(thm)],[])).
% 9.78/7.34 tff(35818,plain,
% 9.78/7.34 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB36) <=> (~((~v130(constB36)) | (~v139(constB36)))))),
% 9.78/7.34 inference(modus_ponens,[status(thm)],[35817, 35816])).
% 9.78/7.34 tff(35819,plain,
% 9.78/7.34 (v155(constB36) <=> (~((~v130(constB36)) | (~v139(constB36))))),
% 9.78/7.34 inference(unit_resolution,[status(thm)],[35818, 447])).
% 9.78/7.34 tff(35820,plain,
% 9.78/7.34 ((~![VarNext: $i] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB36) <=> v152(constB36))),
% 9.78/7.34 inference(quant_inst,[status(thm)],[])).
% 9.78/7.34 tff(35821,plain,
% 9.78/7.34 (v130(constB36) <=> v152(constB36)),
% 9.78/7.34 inference(unit_resolution,[status(thm)],[35820, 361])).
% 9.78/7.34 tff(35822,plain,
% 9.78/7.34 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB35, constB36)) | (v152(constB36) <=> v150(constB35)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB35, constB36)) | (v152(constB36) <=> v150(constB35)))),
% 9.78/7.35 inference(rewrite,[status(thm)],[])).
% 9.78/7.35 tff(35823,plain,
% 9.78/7.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB35, constB36)) | (v152(constB36) <=> v150(constB35)))),
% 9.78/7.35 inference(quant_inst,[status(thm)],[])).
% 9.78/7.35 tff(35824,plain,
% 9.78/7.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB35, constB36)) | (v152(constB36) <=> v150(constB35))),
% 9.78/7.35 inference(modus_ponens,[status(thm)],[35823, 35822])).
% 9.78/7.35 tff(35825,plain,
% 9.78/7.35 (v152(constB36) <=> v150(constB35)),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[35824, 8117, 373])).
% 9.78/7.35 tff(35826,plain,
% 9.78/7.35 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v153(VarCurr) | v155(VarCurr)))) | (v150(constB35) <=> (v153(constB35) | v155(constB35)))),
% 9.78/7.35 inference(quant_inst,[status(thm)],[])).
% 9.78/7.35 tff(35827,plain,
% 9.78/7.35 (v150(constB35) <=> (v153(constB35) | v155(constB35))),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[35826, 387])).
% 9.78/7.35 tff(35828,plain,
% 9.78/7.35 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB35) <=> (~((~v130(constB35)) | (~v139(constB35)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB35) <=> (~((~v130(constB35)) | (~v139(constB35))))))),
% 9.78/7.35 inference(rewrite,[status(thm)],[])).
% 9.78/7.35 tff(35829,plain,
% 9.78/7.35 ((v155(constB35) <=> (~((~v139(constB35)) | (~v130(constB35))))) <=> (v155(constB35) <=> (~((~v130(constB35)) | (~v139(constB35)))))),
% 9.78/7.35 inference(rewrite,[status(thm)],[])).
% 9.78/7.35 tff(35830,plain,
% 9.78/7.35 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB35) <=> (~((~v139(constB35)) | (~v130(constB35)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB35) <=> (~((~v130(constB35)) | (~v139(constB35))))))),
% 9.78/7.35 inference(monotonicity,[status(thm)],[35829])).
% 9.78/7.35 tff(35831,plain,
% 9.78/7.35 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB35) <=> (~((~v139(constB35)) | (~v130(constB35)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB35) <=> (~((~v130(constB35)) | (~v139(constB35))))))),
% 9.78/7.35 inference(transitivity,[status(thm)],[35830, 35828])).
% 9.78/7.35 tff(35832,plain,
% 9.78/7.35 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB35) <=> (~((~v139(constB35)) | (~v130(constB35)))))),
% 9.78/7.35 inference(quant_inst,[status(thm)],[])).
% 9.78/7.35 tff(35833,plain,
% 9.78/7.35 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB35) <=> (~((~v130(constB35)) | (~v139(constB35)))))),
% 9.78/7.35 inference(modus_ponens,[status(thm)],[35832, 35831])).
% 9.78/7.35 tff(35834,plain,
% 9.78/7.35 (v155(constB35) <=> (~((~v130(constB35)) | (~v139(constB35))))),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[35833, 447])).
% 9.78/7.35 tff(35835,plain,
% 9.78/7.35 ((~![VarCurr: $i] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB35)) <=> v140(constB35))),
% 9.78/7.35 inference(quant_inst,[status(thm)],[])).
% 9.78/7.35 tff(35836,plain,
% 9.78/7.35 ((~v139(constB35)) <=> v140(constB35)),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[35835, 203])).
% 9.78/7.35 tff(35837,plain,
% 9.78/7.35 ((~![VarCurr: $i] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB35) <=> (v141(constB35) | v26(constB35)))),
% 9.78/7.35 inference(quant_inst,[status(thm)],[])).
% 9.78/7.35 tff(35838,plain,
% 9.78/7.35 (v140(constB35) <=> (v141(constB35) | v26(constB35))),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[35837, 212])).
% 9.78/7.35 tff(35839,plain,
% 9.78/7.35 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB35) <=> (~((~v39(constB35)) | (~v9(constB35)))))),
% 9.78/7.35 inference(quant_inst,[status(thm)],[])).
% 9.78/7.35 tff(35840,plain,
% 9.78/7.35 (v141(constB35) <=> (~((~v39(constB35)) | (~v9(constB35))))),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[35839, 130])).
% 9.78/7.35 tff(35841,plain,
% 9.78/7.35 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB35, constB36)) | (v13(constB36) <=> v9(constB35)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB35, constB36)) | (v13(constB36) <=> v9(constB35)))),
% 9.78/7.35 inference(rewrite,[status(thm)],[])).
% 9.78/7.35 tff(35842,plain,
% 9.78/7.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB35, constB36)) | (v13(constB36) <=> v9(constB35)))),
% 9.78/7.35 inference(quant_inst,[status(thm)],[])).
% 9.78/7.35 tff(35843,plain,
% 9.78/7.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB35, constB36)) | (v13(constB36) <=> v9(constB35))),
% 9.78/7.35 inference(modus_ponens,[status(thm)],[35842, 35841])).
% 9.78/7.35 tff(35844,plain,
% 9.78/7.35 (v13(constB36) <=> v9(constB35)),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[35843, 8117, 226])).
% 9.78/7.35 tff(35845,plain,
% 9.78/7.35 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB36) <=> v13(constB36))),
% 9.78/7.35 inference(quant_inst,[status(thm)],[])).
% 9.78/7.35 tff(35846,plain,
% 9.78/7.35 (v6(constB36) <=> v13(constB36)),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[35845, 240])).
% 9.78/7.35 tff(35847,plain,
% 9.78/7.35 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB36)) <=> v6(constB36))),
% 9.78/7.35 inference(quant_inst,[status(thm)],[])).
% 9.78/7.35 tff(35848,plain,
% 9.78/7.35 ((~v21(constB36)) <=> v6(constB36)),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[35847, 249])).
% 9.78/7.35 tff(35849,plain,
% 9.78/7.35 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB36) <=> (v20(constB36) | v21(constB36)))),
% 9.78/7.35 inference(quant_inst,[status(thm)],[])).
% 9.78/7.35 tff(35850,plain,
% 9.78/7.35 (v19(constB36) <=> (v20(constB36) | v21(constB36))),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[35849, 258])).
% 9.78/7.35 tff(35851,plain,
% 9.78/7.35 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB36) <=> (~((~v19(constB36)) | (~v22(constB36)))))),
% 9.78/7.35 inference(quant_inst,[status(thm)],[])).
% 9.78/7.35 tff(35852,plain,
% 9.78/7.35 (v18(constB36) <=> (~((~v19(constB36)) | (~v22(constB36))))),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[35851, 270])).
% 9.78/7.35 tff(35853,plain,
% 9.78/7.35 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB36)) <=> v18(constB36))),
% 9.78/7.35 inference(quant_inst,[status(thm)],[])).
% 9.78/7.35 tff(35854,plain,
% 9.78/7.35 ((~v4(constB36)) <=> v18(constB36)),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[35853, 279])).
% 9.78/7.35 tff(35855,plain,
% 9.78/7.35 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB36)),
% 9.78/7.35 inference(quant_inst,[status(thm)],[])).
% 9.78/7.35 tff(35856,plain,
% 9.78/7.35 (v4(constB36)),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[35855, 288])).
% 9.78/7.35 tff(35857,plain,
% 9.78/7.35 ((~((~v4(constB36)) <=> v18(constB36))) | (~v4(constB36)) | (~v18(constB36))),
% 9.78/7.35 inference(tautology,[status(thm)],[])).
% 9.78/7.35 tff(35858,plain,
% 9.78/7.35 (~v18(constB36)),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[35857, 35856, 35854])).
% 9.78/7.35 tff(35859,plain,
% 9.78/7.35 ((~(v18(constB36) <=> (~((~v19(constB36)) | (~v22(constB36)))))) | v18(constB36) | ((~v19(constB36)) | (~v22(constB36)))),
% 9.78/7.35 inference(tautology,[status(thm)],[])).
% 9.78/7.35 tff(35860,plain,
% 9.78/7.35 ((~v19(constB36)) | (~v22(constB36))),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[35859, 35858, 35852])).
% 9.78/7.35 tff(35861,plain,
% 9.78/7.35 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB36) <=> (v1(constB36) | v6(constB36)))),
% 9.78/7.35 inference(quant_inst,[status(thm)],[])).
% 9.78/7.35 tff(35862,plain,
% 9.78/7.35 (v22(constB36) <=> (v1(constB36) | v6(constB36))),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[35861, 301])).
% 9.78/7.35 tff(35863,plain,
% 9.78/7.35 ((v1(constB36) | v6(constB36)) | (~v1(constB36))),
% 9.78/7.35 inference(tautology,[status(thm)],[])).
% 9.78/7.35 tff(35864,plain,
% 9.78/7.35 (v1(constB36) | v6(constB36)),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[35863, 8147])).
% 9.78/7.35 tff(35865,plain,
% 9.78/7.35 ((~(v22(constB36) <=> (v1(constB36) | v6(constB36)))) | v22(constB36) | (~(v1(constB36) | v6(constB36)))),
% 9.78/7.35 inference(tautology,[status(thm)],[])).
% 9.78/7.35 tff(35866,plain,
% 9.78/7.35 ((~(v22(constB36) <=> (v1(constB36) | v6(constB36)))) | v22(constB36)),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[35865, 35864])).
% 9.78/7.35 tff(35867,plain,
% 9.78/7.35 (v22(constB36)),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[35866, 35862])).
% 9.78/7.35 tff(35868,plain,
% 9.78/7.35 ((~((~v19(constB36)) | (~v22(constB36)))) | (~v19(constB36)) | (~v22(constB36))),
% 9.78/7.35 inference(tautology,[status(thm)],[])).
% 9.78/7.35 tff(35869,plain,
% 9.78/7.35 ((~((~v19(constB36)) | (~v22(constB36)))) | (~v19(constB36))),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[35868, 35867])).
% 9.78/7.35 tff(35870,plain,
% 9.78/7.35 (~v19(constB36)),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[35869, 35860])).
% 9.78/7.35 tff(35871,plain,
% 9.78/7.35 ((~(v19(constB36) <=> (v20(constB36) | v21(constB36)))) | v19(constB36) | (~(v20(constB36) | v21(constB36)))),
% 9.78/7.35 inference(tautology,[status(thm)],[])).
% 9.78/7.35 tff(35872,plain,
% 9.78/7.35 (~(v20(constB36) | v21(constB36))),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[35871, 35870, 35850])).
% 9.78/7.35 tff(35873,plain,
% 9.78/7.35 ((v20(constB36) | v21(constB36)) | (~v21(constB36))),
% 9.78/7.35 inference(tautology,[status(thm)],[])).
% 9.78/7.35 tff(35874,plain,
% 9.78/7.35 (~v21(constB36)),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[35873, 35872])).
% 9.78/7.35 tff(35875,plain,
% 9.78/7.35 ((~((~v21(constB36)) <=> v6(constB36))) | v21(constB36) | v6(constB36)),
% 9.78/7.35 inference(tautology,[status(thm)],[])).
% 9.78/7.35 tff(35876,plain,
% 9.78/7.35 (v6(constB36)),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[35875, 35874, 35848])).
% 9.78/7.35 tff(35877,plain,
% 9.78/7.35 ((~(v6(constB36) <=> v13(constB36))) | (~v6(constB36)) | v13(constB36)),
% 9.78/7.35 inference(tautology,[status(thm)],[])).
% 9.78/7.35 tff(35878,plain,
% 9.78/7.35 (v13(constB36)),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[35877, 35876, 35846])).
% 9.78/7.35 tff(35879,plain,
% 9.78/7.35 ((~(v13(constB36) <=> v9(constB35))) | (~v13(constB36)) | v9(constB35)),
% 9.78/7.35 inference(tautology,[status(thm)],[])).
% 9.78/7.35 tff(35880,plain,
% 9.78/7.35 (v9(constB35)),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[35879, 35878, 35844])).
% 9.78/7.35 tff(35881,plain,
% 9.78/7.35 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB35)) <=> v1(constB35))),
% 9.78/7.35 inference(quant_inst,[status(thm)],[])).
% 9.78/7.35 tff(35882,plain,
% 9.78/7.35 ((~v39(constB35)) <=> v1(constB35)),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[35881, 139])).
% 9.78/7.35 tff(35883,plain,
% 9.78/7.35 ((~((~v39(constB35)) <=> v1(constB35))) | v39(constB35) | v1(constB35)),
% 9.78/7.35 inference(tautology,[status(thm)],[])).
% 9.78/7.35 tff(35884,plain,
% 9.78/7.35 ((~((~v39(constB35)) <=> v1(constB35))) | v39(constB35)),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[35883, 8139])).
% 9.78/7.35 tff(35885,plain,
% 9.78/7.35 (v39(constB35)),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[35884, 35882])).
% 9.78/7.35 tff(35886,plain,
% 9.78/7.35 ((~((~v39(constB35)) | (~v9(constB35)))) | (~v39(constB35)) | (~v9(constB35))),
% 9.78/7.35 inference(tautology,[status(thm)],[])).
% 9.78/7.35 tff(35887,plain,
% 9.78/7.35 ((~((~v39(constB35)) | (~v9(constB35)))) | (~v9(constB35))),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[35886, 35885])).
% 9.78/7.35 tff(35888,plain,
% 9.78/7.35 (~((~v39(constB35)) | (~v9(constB35)))),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[35887, 35880])).
% 9.78/7.35 tff(35889,plain,
% 9.78/7.35 ((~(v141(constB35) <=> (~((~v39(constB35)) | (~v9(constB35)))))) | v141(constB35) | ((~v39(constB35)) | (~v9(constB35)))),
% 9.78/7.35 inference(tautology,[status(thm)],[])).
% 9.78/7.35 tff(35890,plain,
% 9.78/7.35 (v141(constB35)),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[35889, 35888, 35840])).
% 9.78/7.35 tff(35891,plain,
% 9.78/7.35 ((v141(constB35) | v26(constB35)) | (~v141(constB35))),
% 9.78/7.35 inference(tautology,[status(thm)],[])).
% 9.78/7.35 tff(35892,plain,
% 9.78/7.35 (v141(constB35) | v26(constB35)),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[35891, 35890])).
% 9.78/7.35 tff(35893,plain,
% 9.78/7.35 ((~(v140(constB35) <=> (v141(constB35) | v26(constB35)))) | v140(constB35) | (~(v141(constB35) | v26(constB35)))),
% 9.78/7.35 inference(tautology,[status(thm)],[])).
% 9.78/7.35 tff(35894,plain,
% 9.78/7.35 (v140(constB35)),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[35893, 35892, 35838])).
% 9.78/7.35 tff(35895,plain,
% 9.78/7.35 ((~((~v139(constB35)) <=> v140(constB35))) | (~v139(constB35)) | (~v140(constB35))),
% 9.78/7.35 inference(tautology,[status(thm)],[])).
% 9.78/7.35 tff(35896,plain,
% 9.78/7.35 (~v139(constB35)),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[35895, 35894, 35836])).
% 9.78/7.35 tff(35897,plain,
% 9.78/7.35 (((~v130(constB35)) | (~v139(constB35))) | v139(constB35)),
% 9.78/7.35 inference(tautology,[status(thm)],[])).
% 9.78/7.35 tff(35898,plain,
% 9.78/7.35 ((~v130(constB35)) | (~v139(constB35))),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[35897, 35896])).
% 9.78/7.35 tff(35899,plain,
% 9.78/7.35 ((~(v155(constB35) <=> (~((~v130(constB35)) | (~v139(constB35)))))) | (~v155(constB35)) | (~((~v130(constB35)) | (~v139(constB35))))),
% 9.78/7.35 inference(tautology,[status(thm)],[])).
% 9.78/7.35 tff(35900,plain,
% 9.78/7.35 (~v155(constB35)),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[35899, 35898, 35834])).
% 9.78/7.35 tff(35901,plain,
% 9.78/7.35 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB35) <=> (~((~v132(constB35)) | (~v154(constB35)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB35) <=> (~((~v132(constB35)) | (~v154(constB35))))))),
% 9.78/7.35 inference(rewrite,[status(thm)],[])).
% 9.78/7.35 tff(35902,plain,
% 9.78/7.35 ((v153(constB35) <=> (~((~v154(constB35)) | (~v132(constB35))))) <=> (v153(constB35) <=> (~((~v132(constB35)) | (~v154(constB35)))))),
% 9.78/7.35 inference(rewrite,[status(thm)],[])).
% 9.78/7.35 tff(35903,plain,
% 9.78/7.35 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB35) <=> (~((~v154(constB35)) | (~v132(constB35)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB35) <=> (~((~v132(constB35)) | (~v154(constB35))))))),
% 9.78/7.35 inference(monotonicity,[status(thm)],[35902])).
% 9.78/7.35 tff(35904,plain,
% 9.78/7.35 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB35) <=> (~((~v154(constB35)) | (~v132(constB35)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB35) <=> (~((~v132(constB35)) | (~v154(constB35))))))),
% 9.78/7.35 inference(transitivity,[status(thm)],[35903, 35901])).
% 9.78/7.35 tff(35905,plain,
% 9.78/7.35 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB35) <=> (~((~v154(constB35)) | (~v132(constB35)))))),
% 9.78/7.35 inference(quant_inst,[status(thm)],[])).
% 9.78/7.35 tff(35906,plain,
% 9.78/7.35 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB35) <=> (~((~v132(constB35)) | (~v154(constB35)))))),
% 9.78/7.35 inference(modus_ponens,[status(thm)],[35905, 35904])).
% 9.78/7.35 tff(35907,plain,
% 9.78/7.35 (v153(constB35) <=> (~((~v132(constB35)) | (~v154(constB35))))),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[35906, 399])).
% 9.78/7.35 tff(35908,plain,
% 9.78/7.35 ((~![VarNext: $i] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB35) <=> v137(constB35))),
% 9.78/7.35 inference(quant_inst,[status(thm)],[])).
% 9.78/7.35 tff(35909,plain,
% 9.78/7.35 (v132(constB35) <=> v137(constB35)),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[35908, 558])).
% 9.78/7.35 tff(35910,plain,
% 9.78/7.35 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB34, constB35)) | (v137(constB35) <=> v135(constB34)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB34, constB35)) | (v137(constB35) <=> v135(constB34)))),
% 9.78/7.35 inference(rewrite,[status(thm)],[])).
% 9.78/7.35 tff(35911,plain,
% 9.78/7.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB34, constB35)) | (v137(constB35) <=> v135(constB34)))),
% 9.78/7.35 inference(quant_inst,[status(thm)],[])).
% 9.78/7.35 tff(35912,plain,
% 9.78/7.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB34, constB35)) | (v137(constB35) <=> v135(constB34))),
% 9.78/7.35 inference(modus_ponens,[status(thm)],[35911, 35910])).
% 9.78/7.35 tff(35913,plain,
% 9.78/7.35 (v137(constB35) <=> v135(constB34)),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[35912, 8174, 570])).
% 9.78/7.35 tff(35914,plain,
% 9.78/7.35 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB34) <=> (v138(constB34) | v142(constB34)))),
% 9.78/7.35 inference(quant_inst,[status(thm)],[])).
% 9.78/7.35 tff(35915,plain,
% 9.78/7.35 (v135(constB34) <=> (v138(constB34) | v142(constB34))),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[35914, 584])).
% 9.78/7.35 tff(35916,plain,
% 9.78/7.35 ((~![VarCurr: $i] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB34) <=> (~((~v143(constB34)) | (~v144(constB34)))))),
% 9.78/7.35 inference(quant_inst,[status(thm)],[])).
% 9.78/7.35 tff(35917,plain,
% 9.78/7.35 (v142(constB34) <=> (~((~v143(constB34)) | (~v144(constB34))))),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[35916, 596])).
% 9.78/7.35 tff(35918,plain,
% 9.78/7.35 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB34) <=> (~((~v141(constB34)) | (~v145(constB34)))))),
% 9.78/7.35 inference(quant_inst,[status(thm)],[])).
% 9.78/7.35 tff(35919,plain,
% 9.78/7.35 (v144(constB34) <=> (~((~v141(constB34)) | (~v145(constB34))))),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[35918, 608])).
% 9.78/7.35 tff(35920,plain,
% 9.78/7.35 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB34) <=> (~((~v39(constB34)) | (~v9(constB34)))))),
% 9.78/7.35 inference(quant_inst,[status(thm)],[])).
% 9.78/7.35 tff(35921,plain,
% 9.78/7.35 (v141(constB34) <=> (~((~v39(constB34)) | (~v9(constB34))))),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[35920, 130])).
% 9.78/7.35 tff(35922,plain,
% 9.78/7.35 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB34)) <=> v1(constB34))),
% 9.78/7.35 inference(quant_inst,[status(thm)],[])).
% 9.78/7.35 tff(35923,plain,
% 9.78/7.35 ((~v39(constB34)) <=> v1(constB34)),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[35922, 139])).
% 9.78/7.35 tff(35924,plain,
% 9.78/7.35 ((~((~v39(constB34)) <=> v1(constB34))) | (~v39(constB34)) | (~v1(constB34))),
% 9.78/7.35 inference(tautology,[status(thm)],[])).
% 9.78/7.35 tff(35925,plain,
% 9.78/7.35 ((~((~v39(constB34)) <=> v1(constB34))) | (~v39(constB34))),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[35924, 8236])).
% 9.78/7.35 tff(35926,plain,
% 9.78/7.35 (~v39(constB34)),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[35925, 35923])).
% 9.78/7.35 tff(35927,plain,
% 9.78/7.35 (((~v39(constB34)) | (~v9(constB34))) | v39(constB34)),
% 9.78/7.35 inference(tautology,[status(thm)],[])).
% 9.78/7.35 tff(35928,plain,
% 9.78/7.35 ((~v39(constB34)) | (~v9(constB34))),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[35927, 35926])).
% 9.78/7.35 tff(35929,plain,
% 9.78/7.35 ((~(v141(constB34) <=> (~((~v39(constB34)) | (~v9(constB34)))))) | (~v141(constB34)) | (~((~v39(constB34)) | (~v9(constB34))))),
% 9.78/7.35 inference(tautology,[status(thm)],[])).
% 9.78/7.35 tff(35930,plain,
% 9.78/7.35 ((~(v141(constB34) <=> (~((~v39(constB34)) | (~v9(constB34)))))) | (~v141(constB34))),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[35929, 35928])).
% 9.78/7.35 tff(35931,plain,
% 9.78/7.35 (~v141(constB34)),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[35930, 35921])).
% 9.78/7.35 tff(35932,plain,
% 9.78/7.35 (((~v141(constB34)) | (~v145(constB34))) | v141(constB34)),
% 9.78/7.35 inference(tautology,[status(thm)],[])).
% 9.78/7.35 tff(35933,plain,
% 9.78/7.35 ((~v141(constB34)) | (~v145(constB34))),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[35932, 35931])).
% 9.78/7.35 tff(35934,plain,
% 9.78/7.35 ((~(v144(constB34) <=> (~((~v141(constB34)) | (~v145(constB34)))))) | (~v144(constB34)) | (~((~v141(constB34)) | (~v145(constB34))))),
% 9.78/7.35 inference(tautology,[status(thm)],[])).
% 9.78/7.35 tff(35935,plain,
% 9.78/7.35 ((~(v144(constB34) <=> (~((~v141(constB34)) | (~v145(constB34)))))) | (~v144(constB34))),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[35934, 35933])).
% 9.78/7.35 tff(35936,plain,
% 9.78/7.35 (~v144(constB34)),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[35935, 35919])).
% 9.78/7.35 tff(35937,plain,
% 9.78/7.35 (((~v143(constB34)) | (~v144(constB34))) | v144(constB34)),
% 9.78/7.35 inference(tautology,[status(thm)],[])).
% 9.78/7.35 tff(35938,plain,
% 9.78/7.35 ((~v143(constB34)) | (~v144(constB34))),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[35937, 35936])).
% 9.78/7.35 tff(35939,plain,
% 9.78/7.35 ((~(v142(constB34) <=> (~((~v143(constB34)) | (~v144(constB34)))))) | (~v142(constB34)) | (~((~v143(constB34)) | (~v144(constB34))))),
% 9.78/7.35 inference(tautology,[status(thm)],[])).
% 9.78/7.35 tff(35940,plain,
% 9.78/7.35 (~v142(constB34)),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[35939, 35938, 35917])).
% 9.78/7.35 tff(35941,plain,
% 9.78/7.35 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB34) <=> (~((~v132(constB34)) | (~v139(constB34)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB34) <=> (~((~v132(constB34)) | (~v139(constB34))))))),
% 9.78/7.35 inference(rewrite,[status(thm)],[])).
% 9.78/7.35 tff(35942,plain,
% 9.78/7.35 ((v138(constB34) <=> (~((~v139(constB34)) | (~v132(constB34))))) <=> (v138(constB34) <=> (~((~v132(constB34)) | (~v139(constB34)))))),
% 9.78/7.35 inference(rewrite,[status(thm)],[])).
% 9.78/7.35 tff(35943,plain,
% 9.78/7.35 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB34) <=> (~((~v139(constB34)) | (~v132(constB34)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB34) <=> (~((~v132(constB34)) | (~v139(constB34))))))),
% 9.78/7.35 inference(monotonicity,[status(thm)],[35942])).
% 9.78/7.35 tff(35944,plain,
% 9.78/7.35 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB34) <=> (~((~v139(constB34)) | (~v132(constB34)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB34) <=> (~((~v132(constB34)) | (~v139(constB34))))))),
% 9.78/7.35 inference(transitivity,[status(thm)],[35943, 35941])).
% 9.78/7.35 tff(35945,plain,
% 9.78/7.35 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB34) <=> (~((~v139(constB34)) | (~v132(constB34)))))),
% 9.78/7.35 inference(quant_inst,[status(thm)],[])).
% 9.78/7.35 tff(35946,plain,
% 9.78/7.35 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB34) <=> (~((~v132(constB34)) | (~v139(constB34)))))),
% 9.78/7.35 inference(modus_ponens,[status(thm)],[35945, 35944])).
% 9.78/7.35 tff(35947,plain,
% 9.78/7.35 (v138(constB34) <=> (~((~v132(constB34)) | (~v139(constB34))))),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[35946, 644])).
% 9.78/7.35 tff(35948,plain,
% 9.78/7.35 ((~![VarNext: $i] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB34) <=> v137(constB34))),
% 9.78/7.35 inference(quant_inst,[status(thm)],[])).
% 9.78/7.35 tff(35949,plain,
% 9.78/7.35 (v132(constB34) <=> v137(constB34)),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[35948, 558])).
% 9.78/7.35 tff(35950,plain,
% 9.78/7.35 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB33, constB34)) | (v137(constB34) <=> v135(constB33)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB33, constB34)) | (v137(constB34) <=> v135(constB33)))),
% 9.78/7.35 inference(rewrite,[status(thm)],[])).
% 9.78/7.35 tff(35951,plain,
% 9.78/7.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB33, constB34)) | (v137(constB34) <=> v135(constB33)))),
% 9.78/7.35 inference(quant_inst,[status(thm)],[])).
% 9.78/7.35 tff(35952,plain,
% 9.78/7.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB33, constB34)) | (v137(constB34) <=> v135(constB33))),
% 9.78/7.35 inference(modus_ponens,[status(thm)],[35951, 35950])).
% 9.78/7.35 tff(35953,plain,
% 9.78/7.35 (v137(constB34) <=> v135(constB33)),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[35952, 8206, 570])).
% 9.78/7.35 tff(35954,plain,
% 9.78/7.35 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB33) <=> (v138(constB33) | v142(constB33)))),
% 9.78/7.35 inference(quant_inst,[status(thm)],[])).
% 9.78/7.35 tff(35955,plain,
% 9.78/7.35 (v135(constB33) <=> (v138(constB33) | v142(constB33))),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[35954, 584])).
% 9.78/7.35 tff(35956,plain,
% 9.78/7.35 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB33) <=> (~((~v132(constB33)) | (~v139(constB33)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB33) <=> (~((~v132(constB33)) | (~v139(constB33))))))),
% 9.78/7.35 inference(rewrite,[status(thm)],[])).
% 9.78/7.35 tff(35957,plain,
% 9.78/7.35 ((v138(constB33) <=> (~((~v139(constB33)) | (~v132(constB33))))) <=> (v138(constB33) <=> (~((~v132(constB33)) | (~v139(constB33)))))),
% 9.78/7.35 inference(rewrite,[status(thm)],[])).
% 9.78/7.35 tff(35958,plain,
% 9.78/7.35 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB33) <=> (~((~v139(constB33)) | (~v132(constB33)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB33) <=> (~((~v132(constB33)) | (~v139(constB33))))))),
% 9.78/7.35 inference(monotonicity,[status(thm)],[35957])).
% 9.78/7.35 tff(35959,plain,
% 9.78/7.35 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB33) <=> (~((~v139(constB33)) | (~v132(constB33)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB33) <=> (~((~v132(constB33)) | (~v139(constB33))))))),
% 9.78/7.35 inference(transitivity,[status(thm)],[35958, 35956])).
% 9.78/7.35 tff(35960,plain,
% 9.78/7.35 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB33) <=> (~((~v139(constB33)) | (~v132(constB33)))))),
% 9.78/7.35 inference(quant_inst,[status(thm)],[])).
% 9.78/7.35 tff(35961,plain,
% 9.78/7.35 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB33) <=> (~((~v132(constB33)) | (~v139(constB33)))))),
% 9.78/7.35 inference(modus_ponens,[status(thm)],[35960, 35959])).
% 9.78/7.35 tff(35962,plain,
% 9.78/7.35 (v138(constB33) <=> (~((~v132(constB33)) | (~v139(constB33))))),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[35961, 644])).
% 9.78/7.35 tff(35963,plain,
% 9.78/7.35 ((~![VarCurr: $i] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB33)) <=> v140(constB33))),
% 9.78/7.35 inference(quant_inst,[status(thm)],[])).
% 9.78/7.35 tff(35964,plain,
% 9.78/7.35 ((~v139(constB33)) <=> v140(constB33)),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[35963, 203])).
% 9.78/7.35 tff(35965,plain,
% 9.78/7.35 ((~![VarCurr: $i] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB33) <=> (v141(constB33) | v26(constB33)))),
% 9.78/7.35 inference(quant_inst,[status(thm)],[])).
% 9.78/7.35 tff(35966,plain,
% 9.78/7.35 (v140(constB33) <=> (v141(constB33) | v26(constB33))),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[35965, 212])).
% 9.78/7.35 tff(35967,plain,
% 9.78/7.35 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB33) <=> (~((~v39(constB33)) | (~v9(constB33)))))),
% 9.78/7.35 inference(quant_inst,[status(thm)],[])).
% 9.78/7.35 tff(35968,plain,
% 9.78/7.35 (v141(constB33) <=> (~((~v39(constB33)) | (~v9(constB33))))),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[35967, 130])).
% 9.78/7.35 tff(35969,plain,
% 9.78/7.35 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB33, constB34)) | (v13(constB34) <=> v9(constB33)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB33, constB34)) | (v13(constB34) <=> v9(constB33)))),
% 9.78/7.35 inference(rewrite,[status(thm)],[])).
% 9.78/7.35 tff(35970,plain,
% 9.78/7.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB33, constB34)) | (v13(constB34) <=> v9(constB33)))),
% 9.78/7.35 inference(quant_inst,[status(thm)],[])).
% 9.78/7.35 tff(35971,plain,
% 9.78/7.35 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB33, constB34)) | (v13(constB34) <=> v9(constB33))),
% 9.78/7.35 inference(modus_ponens,[status(thm)],[35970, 35969])).
% 9.78/7.35 tff(35972,plain,
% 9.78/7.35 (v13(constB34) <=> v9(constB33)),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[35971, 8206, 226])).
% 9.78/7.35 tff(35973,plain,
% 9.78/7.35 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB34) <=> v13(constB34))),
% 9.78/7.35 inference(quant_inst,[status(thm)],[])).
% 9.78/7.35 tff(35974,plain,
% 9.78/7.35 (v6(constB34) <=> v13(constB34)),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[35973, 240])).
% 9.78/7.35 tff(35975,plain,
% 9.78/7.35 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB34)) <=> v6(constB34))),
% 9.78/7.35 inference(quant_inst,[status(thm)],[])).
% 9.78/7.35 tff(35976,plain,
% 9.78/7.35 ((~v21(constB34)) <=> v6(constB34)),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[35975, 249])).
% 9.78/7.35 tff(35977,plain,
% 9.78/7.35 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB34) <=> (v20(constB34) | v21(constB34)))),
% 9.78/7.35 inference(quant_inst,[status(thm)],[])).
% 9.78/7.35 tff(35978,plain,
% 9.78/7.35 (v19(constB34) <=> (v20(constB34) | v21(constB34))),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[35977, 258])).
% 9.78/7.35 tff(35979,plain,
% 9.78/7.35 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB34) <=> (~((~v19(constB34)) | (~v22(constB34)))))),
% 9.78/7.35 inference(quant_inst,[status(thm)],[])).
% 9.78/7.35 tff(35980,plain,
% 9.78/7.35 (v18(constB34) <=> (~((~v19(constB34)) | (~v22(constB34))))),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[35979, 270])).
% 9.78/7.35 tff(35981,plain,
% 9.78/7.35 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB34)) <=> v18(constB34))),
% 9.78/7.35 inference(quant_inst,[status(thm)],[])).
% 9.78/7.35 tff(35982,plain,
% 9.78/7.35 ((~v4(constB34)) <=> v18(constB34)),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[35981, 279])).
% 9.78/7.35 tff(35983,plain,
% 9.78/7.35 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB34)),
% 9.78/7.35 inference(quant_inst,[status(thm)],[])).
% 9.78/7.35 tff(35984,plain,
% 9.78/7.35 (v4(constB34)),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[35983, 288])).
% 9.78/7.35 tff(35985,plain,
% 9.78/7.35 ((~((~v4(constB34)) <=> v18(constB34))) | (~v4(constB34)) | (~v18(constB34))),
% 9.78/7.35 inference(tautology,[status(thm)],[])).
% 9.78/7.35 tff(35986,plain,
% 9.78/7.35 (~v18(constB34)),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[35985, 35984, 35982])).
% 9.78/7.35 tff(35987,plain,
% 9.78/7.35 ((~(v18(constB34) <=> (~((~v19(constB34)) | (~v22(constB34)))))) | v18(constB34) | ((~v19(constB34)) | (~v22(constB34)))),
% 9.78/7.35 inference(tautology,[status(thm)],[])).
% 9.78/7.35 tff(35988,plain,
% 9.78/7.35 ((~v19(constB34)) | (~v22(constB34))),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[35987, 35986, 35980])).
% 9.78/7.35 tff(35989,plain,
% 9.78/7.35 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB34) <=> (v1(constB34) | v6(constB34)))),
% 9.78/7.35 inference(quant_inst,[status(thm)],[])).
% 9.78/7.35 tff(35990,plain,
% 9.78/7.35 (v22(constB34) <=> (v1(constB34) | v6(constB34))),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[35989, 301])).
% 9.78/7.35 tff(35991,plain,
% 9.78/7.35 ((v1(constB34) | v6(constB34)) | (~v1(constB34))),
% 9.78/7.35 inference(tautology,[status(thm)],[])).
% 9.78/7.35 tff(35992,plain,
% 9.78/7.35 (v1(constB34) | v6(constB34)),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[35991, 8236])).
% 9.78/7.35 tff(35993,plain,
% 9.78/7.35 ((~(v22(constB34) <=> (v1(constB34) | v6(constB34)))) | v22(constB34) | (~(v1(constB34) | v6(constB34)))),
% 9.78/7.35 inference(tautology,[status(thm)],[])).
% 9.78/7.35 tff(35994,plain,
% 9.78/7.35 ((~(v22(constB34) <=> (v1(constB34) | v6(constB34)))) | v22(constB34)),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[35993, 35992])).
% 9.78/7.35 tff(35995,plain,
% 9.78/7.35 (v22(constB34)),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[35994, 35990])).
% 9.78/7.35 tff(35996,plain,
% 9.78/7.35 ((~((~v19(constB34)) | (~v22(constB34)))) | (~v19(constB34)) | (~v22(constB34))),
% 9.78/7.35 inference(tautology,[status(thm)],[])).
% 9.78/7.35 tff(35997,plain,
% 9.78/7.35 ((~((~v19(constB34)) | (~v22(constB34)))) | (~v19(constB34))),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[35996, 35995])).
% 9.78/7.35 tff(35998,plain,
% 9.78/7.35 (~v19(constB34)),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[35997, 35988])).
% 9.78/7.35 tff(35999,plain,
% 9.78/7.35 ((~(v19(constB34) <=> (v20(constB34) | v21(constB34)))) | v19(constB34) | (~(v20(constB34) | v21(constB34)))),
% 9.78/7.35 inference(tautology,[status(thm)],[])).
% 9.78/7.35 tff(36000,plain,
% 9.78/7.35 (~(v20(constB34) | v21(constB34))),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[35999, 35998, 35978])).
% 9.78/7.35 tff(36001,plain,
% 9.78/7.35 ((v20(constB34) | v21(constB34)) | (~v21(constB34))),
% 9.78/7.35 inference(tautology,[status(thm)],[])).
% 9.78/7.35 tff(36002,plain,
% 9.78/7.35 (~v21(constB34)),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[36001, 36000])).
% 9.78/7.35 tff(36003,plain,
% 9.78/7.35 ((~((~v21(constB34)) <=> v6(constB34))) | v21(constB34) | v6(constB34)),
% 9.78/7.35 inference(tautology,[status(thm)],[])).
% 9.78/7.35 tff(36004,plain,
% 9.78/7.35 (v6(constB34)),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[36003, 36002, 35976])).
% 9.78/7.35 tff(36005,plain,
% 9.78/7.35 ((~(v6(constB34) <=> v13(constB34))) | (~v6(constB34)) | v13(constB34)),
% 9.78/7.35 inference(tautology,[status(thm)],[])).
% 9.78/7.35 tff(36006,plain,
% 9.78/7.35 (v13(constB34)),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[36005, 36004, 35974])).
% 9.78/7.35 tff(36007,plain,
% 9.78/7.35 ((~(v13(constB34) <=> v9(constB33))) | (~v13(constB34)) | v9(constB33)),
% 9.78/7.35 inference(tautology,[status(thm)],[])).
% 9.78/7.35 tff(36008,plain,
% 9.78/7.35 (v9(constB33)),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[36007, 36006, 35972])).
% 9.78/7.35 tff(36009,plain,
% 9.78/7.35 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB33)) <=> v1(constB33))),
% 9.78/7.35 inference(quant_inst,[status(thm)],[])).
% 9.78/7.35 tff(36010,plain,
% 9.78/7.35 ((~v39(constB33)) <=> v1(constB33)),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[36009, 139])).
% 9.78/7.35 tff(36011,plain,
% 9.78/7.35 ((~((~v39(constB33)) <=> v1(constB33))) | v39(constB33) | v1(constB33)),
% 9.78/7.35 inference(tautology,[status(thm)],[])).
% 9.78/7.35 tff(36012,plain,
% 9.78/7.35 ((~((~v39(constB33)) <=> v1(constB33))) | v39(constB33)),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[36011, 8228])).
% 9.78/7.35 tff(36013,plain,
% 9.78/7.35 (v39(constB33)),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[36012, 36010])).
% 9.78/7.35 tff(36014,plain,
% 9.78/7.35 ((~((~v39(constB33)) | (~v9(constB33)))) | (~v39(constB33)) | (~v9(constB33))),
% 9.78/7.35 inference(tautology,[status(thm)],[])).
% 9.78/7.35 tff(36015,plain,
% 9.78/7.35 ((~((~v39(constB33)) | (~v9(constB33)))) | (~v9(constB33))),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[36014, 36013])).
% 9.78/7.35 tff(36016,plain,
% 9.78/7.35 (~((~v39(constB33)) | (~v9(constB33)))),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[36015, 36008])).
% 9.78/7.35 tff(36017,plain,
% 9.78/7.35 ((~(v141(constB33) <=> (~((~v39(constB33)) | (~v9(constB33)))))) | v141(constB33) | ((~v39(constB33)) | (~v9(constB33)))),
% 9.78/7.35 inference(tautology,[status(thm)],[])).
% 9.78/7.35 tff(36018,plain,
% 9.78/7.35 (v141(constB33)),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[36017, 36016, 35968])).
% 9.78/7.35 tff(36019,plain,
% 9.78/7.35 ((v141(constB33) | v26(constB33)) | (~v141(constB33))),
% 9.78/7.35 inference(tautology,[status(thm)],[])).
% 9.78/7.35 tff(36020,plain,
% 9.78/7.35 (v141(constB33) | v26(constB33)),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[36019, 36018])).
% 9.78/7.35 tff(36021,plain,
% 9.78/7.35 ((~(v140(constB33) <=> (v141(constB33) | v26(constB33)))) | v140(constB33) | (~(v141(constB33) | v26(constB33)))),
% 9.78/7.35 inference(tautology,[status(thm)],[])).
% 9.78/7.35 tff(36022,plain,
% 9.78/7.35 (v140(constB33)),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[36021, 36020, 35966])).
% 9.78/7.35 tff(36023,plain,
% 9.78/7.35 ((~((~v139(constB33)) <=> v140(constB33))) | (~v139(constB33)) | (~v140(constB33))),
% 9.78/7.35 inference(tautology,[status(thm)],[])).
% 9.78/7.35 tff(36024,plain,
% 9.78/7.35 (~v139(constB33)),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[36023, 36022, 35964])).
% 9.78/7.35 tff(36025,plain,
% 9.78/7.35 (((~v132(constB33)) | (~v139(constB33))) | v139(constB33)),
% 9.78/7.35 inference(tautology,[status(thm)],[])).
% 9.78/7.35 tff(36026,plain,
% 9.78/7.35 ((~v132(constB33)) | (~v139(constB33))),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[36025, 36024])).
% 9.78/7.35 tff(36027,plain,
% 9.78/7.35 ((~(v138(constB33) <=> (~((~v132(constB33)) | (~v139(constB33)))))) | (~v138(constB33)) | (~((~v132(constB33)) | (~v139(constB33))))),
% 9.78/7.35 inference(tautology,[status(thm)],[])).
% 9.78/7.35 tff(36028,plain,
% 9.78/7.35 (~v138(constB33)),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[36027, 36026, 35962])).
% 9.78/7.35 tff(36029,plain,
% 9.78/7.35 ((~![VarCurr: $i] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB33) <=> (~((~v143(constB33)) | (~v144(constB33)))))),
% 9.78/7.35 inference(quant_inst,[status(thm)],[])).
% 9.78/7.35 tff(36030,plain,
% 9.78/7.35 (v142(constB33) <=> (~((~v143(constB33)) | (~v144(constB33))))),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[36029, 596])).
% 9.78/7.35 tff(36031,plain,
% 9.78/7.35 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB33) <=> (~((~v141(constB33)) | (~v145(constB33)))))),
% 9.78/7.35 inference(quant_inst,[status(thm)],[])).
% 9.78/7.35 tff(36032,plain,
% 9.78/7.35 (v144(constB33) <=> (~((~v141(constB33)) | (~v145(constB33))))),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[36031, 608])).
% 9.78/7.35 tff(36033,plain,
% 9.78/7.35 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB33) <=> (~(v84(constB33, bitIndex2) | v84(constB33, bitIndex1) | (~v84(constB33, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB33) <=> (~(v84(constB33, bitIndex2) | v84(constB33, bitIndex1) | (~v84(constB33, bitIndex0))))))),
% 9.78/7.35 inference(rewrite,[status(thm)],[])).
% 9.78/7.35 tff(36034,plain,
% 9.78/7.35 ((v145(constB33) <=> (~(v84(constB33, bitIndex1) | v84(constB33, bitIndex2) | (~v84(constB33, bitIndex0))))) <=> (v145(constB33) <=> (~(v84(constB33, bitIndex2) | v84(constB33, bitIndex1) | (~v84(constB33, bitIndex0)))))),
% 9.78/7.35 inference(rewrite,[status(thm)],[])).
% 9.78/7.35 tff(36035,plain,
% 9.78/7.35 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB33) <=> (~(v84(constB33, bitIndex1) | v84(constB33, bitIndex2) | (~v84(constB33, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB33) <=> (~(v84(constB33, bitIndex2) | v84(constB33, bitIndex1) | (~v84(constB33, bitIndex0))))))),
% 9.78/7.35 inference(monotonicity,[status(thm)],[36034])).
% 9.78/7.35 tff(36036,plain,
% 9.78/7.35 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB33) <=> (~(v84(constB33, bitIndex1) | v84(constB33, bitIndex2) | (~v84(constB33, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB33) <=> (~(v84(constB33, bitIndex2) | v84(constB33, bitIndex1) | (~v84(constB33, bitIndex0))))))),
% 9.78/7.35 inference(transitivity,[status(thm)],[36035, 36033])).
% 9.78/7.35 tff(36037,plain,
% 9.78/7.35 ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB33) <=> (~(v84(constB33, bitIndex1) | v84(constB33, bitIndex2) | (~v84(constB33, bitIndex0)))))),
% 9.78/7.35 inference(quant_inst,[status(thm)],[])).
% 9.78/7.35 tff(36038,plain,
% 9.78/7.35 ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB33) <=> (~(v84(constB33, bitIndex2) | v84(constB33, bitIndex1) | (~v84(constB33, bitIndex0)))))),
% 9.78/7.35 inference(modus_ponens,[status(thm)],[36037, 36036])).
% 9.78/7.35 tff(36039,plain,
% 9.78/7.35 (v145(constB33) <=> (~(v84(constB33, bitIndex2) | v84(constB33, bitIndex1) | (~v84(constB33, bitIndex0))))),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[36038, 755])).
% 9.78/7.35 tff(36040,plain,
% 9.78/7.35 ((v84(constB33, bitIndex2) | v84(constB33, bitIndex1) | (~v84(constB33, bitIndex0))) | (~v84(constB33, bitIndex2))),
% 9.78/7.35 inference(tautology,[status(thm)],[])).
% 9.78/7.35 tff(36041,plain,
% 9.78/7.35 (v84(constB33, bitIndex2) | v84(constB33, bitIndex1) | (~v84(constB33, bitIndex0))),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[36040, 12536])).
% 9.78/7.35 tff(36042,plain,
% 9.78/7.35 ((~(v145(constB33) <=> (~(v84(constB33, bitIndex2) | v84(constB33, bitIndex1) | (~v84(constB33, bitIndex0)))))) | (~v145(constB33)) | (~(v84(constB33, bitIndex2) | v84(constB33, bitIndex1) | (~v84(constB33, bitIndex0))))),
% 9.78/7.35 inference(tautology,[status(thm)],[])).
% 9.78/7.35 tff(36043,plain,
% 9.78/7.35 (~v145(constB33)),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[36042, 36041, 36039])).
% 9.78/7.35 tff(36044,plain,
% 9.78/7.35 (((~v141(constB33)) | (~v145(constB33))) | v145(constB33)),
% 9.78/7.35 inference(tautology,[status(thm)],[])).
% 9.78/7.35 tff(36045,plain,
% 9.78/7.35 ((~v141(constB33)) | (~v145(constB33))),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[36044, 36043])).
% 9.78/7.35 tff(36046,plain,
% 9.78/7.35 ((~(v144(constB33) <=> (~((~v141(constB33)) | (~v145(constB33)))))) | (~v144(constB33)) | (~((~v141(constB33)) | (~v145(constB33))))),
% 9.78/7.35 inference(tautology,[status(thm)],[])).
% 9.78/7.35 tff(36047,plain,
% 9.78/7.35 (~v144(constB33)),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[36046, 36045, 36032])).
% 9.78/7.35 tff(36048,plain,
% 9.78/7.35 (((~v143(constB33)) | (~v144(constB33))) | v144(constB33)),
% 9.78/7.35 inference(tautology,[status(thm)],[])).
% 9.78/7.35 tff(36049,plain,
% 9.78/7.35 ((~v143(constB33)) | (~v144(constB33))),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[36048, 36047])).
% 9.78/7.35 tff(36050,plain,
% 9.78/7.35 ((~(v142(constB33) <=> (~((~v143(constB33)) | (~v144(constB33)))))) | (~v142(constB33)) | (~((~v143(constB33)) | (~v144(constB33))))),
% 9.78/7.35 inference(tautology,[status(thm)],[])).
% 9.78/7.35 tff(36051,plain,
% 9.78/7.35 (~v142(constB33)),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[36050, 36049, 36030])).
% 9.78/7.35 tff(36052,plain,
% 9.78/7.35 ((~(v138(constB33) | v142(constB33))) | v138(constB33) | v142(constB33)),
% 9.78/7.35 inference(tautology,[status(thm)],[])).
% 9.78/7.35 tff(36053,plain,
% 9.78/7.35 (~(v138(constB33) | v142(constB33))),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[36052, 36051, 36028])).
% 9.78/7.35 tff(36054,plain,
% 9.78/7.35 ((~(v135(constB33) <=> (v138(constB33) | v142(constB33)))) | (~v135(constB33)) | (v138(constB33) | v142(constB33))),
% 9.78/7.35 inference(tautology,[status(thm)],[])).
% 9.78/7.35 tff(36055,plain,
% 9.78/7.35 (~v135(constB33)),
% 9.78/7.35 inference(unit_resolution,[status(thm)],[36054, 36053, 35955])).
% 9.78/7.35 tff(36056,plain,
% 9.78/7.36 ((~(v137(constB34) <=> v135(constB33))) | (~v137(constB34)) | v135(constB33)),
% 9.78/7.36 inference(tautology,[status(thm)],[])).
% 9.78/7.36 tff(36057,plain,
% 9.78/7.36 (~v137(constB34)),
% 9.78/7.36 inference(unit_resolution,[status(thm)],[36056, 36055, 35953])).
% 9.78/7.36 tff(36058,plain,
% 9.78/7.36 ((~(v132(constB34) <=> v137(constB34))) | (~v132(constB34)) | v137(constB34)),
% 9.78/7.36 inference(tautology,[status(thm)],[])).
% 9.78/7.36 tff(36059,plain,
% 9.78/7.36 (~v132(constB34)),
% 9.78/7.36 inference(unit_resolution,[status(thm)],[36058, 36057, 35949])).
% 9.78/7.36 tff(36060,plain,
% 9.78/7.36 (((~v132(constB34)) | (~v139(constB34))) | v132(constB34)),
% 9.78/7.36 inference(tautology,[status(thm)],[])).
% 9.78/7.36 tff(36061,plain,
% 9.78/7.36 ((~v132(constB34)) | (~v139(constB34))),
% 9.78/7.36 inference(unit_resolution,[status(thm)],[36060, 36059])).
% 9.78/7.36 tff(36062,plain,
% 9.78/7.36 ((~(v138(constB34) <=> (~((~v132(constB34)) | (~v139(constB34)))))) | (~v138(constB34)) | (~((~v132(constB34)) | (~v139(constB34))))),
% 9.78/7.36 inference(tautology,[status(thm)],[])).
% 9.78/7.36 tff(36063,plain,
% 9.78/7.36 (~v138(constB34)),
% 9.78/7.36 inference(unit_resolution,[status(thm)],[36062, 36061, 35947])).
% 9.78/7.36 tff(36064,plain,
% 9.78/7.36 ((~(v138(constB34) | v142(constB34))) | v138(constB34) | v142(constB34)),
% 9.78/7.36 inference(tautology,[status(thm)],[])).
% 9.78/7.36 tff(36065,plain,
% 9.78/7.36 (~(v138(constB34) | v142(constB34))),
% 9.78/7.36 inference(unit_resolution,[status(thm)],[36064, 36063, 35940])).
% 9.78/7.36 tff(36066,plain,
% 9.78/7.36 ((~(v135(constB34) <=> (v138(constB34) | v142(constB34)))) | (~v135(constB34)) | (v138(constB34) | v142(constB34))),
% 9.78/7.36 inference(tautology,[status(thm)],[])).
% 9.78/7.36 tff(36067,plain,
% 9.78/7.36 (~v135(constB34)),
% 9.78/7.36 inference(unit_resolution,[status(thm)],[36066, 36065, 35915])).
% 9.78/7.36 tff(36068,plain,
% 9.78/7.36 ((~(v137(constB35) <=> v135(constB34))) | (~v137(constB35)) | v135(constB34)),
% 9.78/7.36 inference(tautology,[status(thm)],[])).
% 9.78/7.36 tff(36069,plain,
% 9.78/7.36 (~v137(constB35)),
% 9.78/7.36 inference(unit_resolution,[status(thm)],[36068, 36067, 35913])).
% 9.78/7.36 tff(36070,plain,
% 9.78/7.36 ((~(v132(constB35) <=> v137(constB35))) | (~v132(constB35)) | v137(constB35)),
% 9.78/7.36 inference(tautology,[status(thm)],[])).
% 9.78/7.36 tff(36071,plain,
% 9.78/7.36 (~v132(constB35)),
% 9.78/7.36 inference(unit_resolution,[status(thm)],[36070, 36069, 35909])).
% 9.78/7.36 tff(36072,plain,
% 9.78/7.36 (((~v132(constB35)) | (~v154(constB35))) | v132(constB35)),
% 9.78/7.36 inference(tautology,[status(thm)],[])).
% 9.78/7.36 tff(36073,plain,
% 9.78/7.36 ((~v132(constB35)) | (~v154(constB35))),
% 9.78/7.36 inference(unit_resolution,[status(thm)],[36072, 36071])).
% 9.78/7.36 tff(36074,plain,
% 9.78/7.36 ((~(v153(constB35) <=> (~((~v132(constB35)) | (~v154(constB35)))))) | (~v153(constB35)) | (~((~v132(constB35)) | (~v154(constB35))))),
% 9.78/7.36 inference(tautology,[status(thm)],[])).
% 9.78/7.36 tff(36075,plain,
% 9.78/7.36 (~v153(constB35)),
% 9.78/7.36 inference(unit_resolution,[status(thm)],[36074, 36073, 35907])).
% 9.78/7.36 tff(36076,plain,
% 9.78/7.36 ((~(v153(constB35) | v155(constB35))) | v153(constB35) | v155(constB35)),
% 9.78/7.36 inference(tautology,[status(thm)],[])).
% 9.78/7.36 tff(36077,plain,
% 9.78/7.36 (~(v153(constB35) | v155(constB35))),
% 9.78/7.36 inference(unit_resolution,[status(thm)],[36076, 36075, 35900])).
% 9.78/7.36 tff(36078,plain,
% 9.78/7.36 ((~(v150(constB35) <=> (v153(constB35) | v155(constB35)))) | (~v150(constB35)) | (v153(constB35) | v155(constB35))),
% 9.78/7.36 inference(tautology,[status(thm)],[])).
% 9.78/7.36 tff(36079,plain,
% 9.78/7.36 (~v150(constB35)),
% 9.78/7.36 inference(unit_resolution,[status(thm)],[36078, 36077, 35827])).
% 9.78/7.36 tff(36080,plain,
% 9.78/7.36 ((~(v152(constB36) <=> v150(constB35))) | (~v152(constB36)) | v150(constB35)),
% 9.78/7.36 inference(tautology,[status(thm)],[])).
% 9.78/7.36 tff(36081,plain,
% 9.78/7.36 (~v152(constB36)),
% 9.78/7.36 inference(unit_resolution,[status(thm)],[36080, 36079, 35825])).
% 9.78/7.36 tff(36082,plain,
% 9.78/7.36 ((~(v130(constB36) <=> v152(constB36))) | (~v130(constB36)) | v152(constB36)),
% 9.78/7.36 inference(tautology,[status(thm)],[])).
% 9.78/7.36 tff(36083,plain,
% 9.78/7.36 (~v130(constB36)),
% 9.78/7.36 inference(unit_resolution,[status(thm)],[36082, 36081, 35821])).
% 9.78/7.36 tff(36084,plain,
% 9.78/7.36 (((~v130(constB36)) | (~v139(constB36))) | v130(constB36)),
% 9.78/7.36 inference(tautology,[status(thm)],[])).
% 9.78/7.36 tff(36085,plain,
% 9.78/7.36 ((~v130(constB36)) | (~v139(constB36))),
% 9.78/7.36 inference(unit_resolution,[status(thm)],[36084, 36083])).
% 9.78/7.36 tff(36086,plain,
% 9.78/7.36 ((~(v155(constB36) <=> (~((~v130(constB36)) | (~v139(constB36)))))) | (~v155(constB36)) | (~((~v130(constB36)) | (~v139(constB36))))),
% 9.78/7.36 inference(tautology,[status(thm)],[])).
% 9.78/7.36 tff(36087,plain,
% 9.78/7.36 (~v155(constB36)),
% 9.78/7.36 inference(unit_resolution,[status(thm)],[36086, 36085, 35819])).
% 9.78/7.36 tff(36088,plain,
% 9.78/7.36 ((~(v153(constB36) | v155(constB36))) | v153(constB36) | v155(constB36)),
% 9.78/7.36 inference(tautology,[status(thm)],[])).
% 9.78/7.36 tff(36089,plain,
% 9.78/7.36 (~(v153(constB36) | v155(constB36))),
% 9.78/7.36 inference(unit_resolution,[status(thm)],[36088, 36087, 35812])).
% 9.78/7.36 tff(36090,plain,
% 9.78/7.36 ((~(v150(constB36) <=> (v153(constB36) | v155(constB36)))) | (~v150(constB36)) | (v153(constB36) | v155(constB36))),
% 9.78/7.36 inference(tautology,[status(thm)],[])).
% 9.78/7.36 tff(36091,plain,
% 9.78/7.36 (~v150(constB36)),
% 9.78/7.36 inference(unit_resolution,[status(thm)],[36090, 36089, 35777])).
% 9.78/7.36 tff(36092,plain,
% 9.78/7.36 ((~(v152(constB37) <=> v150(constB36))) | (~v152(constB37)) | v150(constB36)),
% 9.78/7.36 inference(tautology,[status(thm)],[])).
% 9.78/7.36 tff(36093,plain,
% 9.78/7.36 (~v152(constB37)),
% 9.78/7.36 inference(unit_resolution,[status(thm)],[36092, 36091, 35775])).
% 9.78/7.36 tff(36094,plain,
% 9.78/7.36 ((~(v130(constB37) <=> v152(constB37))) | (~v130(constB37)) | v152(constB37)),
% 9.78/7.36 inference(tautology,[status(thm)],[])).
% 9.78/7.36 tff(36095,plain,
% 9.78/7.36 (~v130(constB37)),
% 9.78/7.36 inference(unit_resolution,[status(thm)],[36094, 36093, 35771])).
% 9.78/7.36 tff(36096,plain,
% 9.78/7.36 (((~v130(constB37)) | (~v154(constB37))) | v130(constB37)),
% 9.78/7.36 inference(tautology,[status(thm)],[])).
% 9.78/7.36 tff(36097,plain,
% 9.78/7.36 ((~v130(constB37)) | (~v154(constB37))),
% 9.78/7.36 inference(unit_resolution,[status(thm)],[36096, 36095])).
% 9.78/7.36 tff(36098,plain,
% 9.78/7.36 ((~(v164(constB37) <=> (~((~v130(constB37)) | (~v154(constB37)))))) | (~v164(constB37)) | (~((~v130(constB37)) | (~v154(constB37))))),
% 9.78/7.36 inference(tautology,[status(thm)],[])).
% 9.78/7.36 tff(36099,plain,
% 9.78/7.36 (~v164(constB37)),
% 9.78/7.36 inference(unit_resolution,[status(thm)],[36098, 36097, 35769])).
% 9.78/7.36 tff(36100,plain,
% 9.78/7.36 ((~(v163(constB37) | v164(constB37))) | v163(constB37) | v164(constB37)),
% 9.78/7.36 inference(tautology,[status(thm)],[])).
% 9.78/7.36 tff(36101,plain,
% 9.78/7.36 (~(v163(constB37) | v164(constB37))),
% 9.78/7.36 inference(unit_resolution,[status(thm)],[36100, 36099, 35762])).
% 9.78/7.36 tff(36102,plain,
% 9.78/7.36 ((~(v160(constB37) <=> (v163(constB37) | v164(constB37)))) | (~v160(constB37)) | (v163(constB37) | v164(constB37))),
% 9.78/7.36 inference(tautology,[status(thm)],[])).
% 9.78/7.36 tff(36103,plain,
% 9.78/7.36 (~v160(constB37)),
% 9.78/7.36 inference(unit_resolution,[status(thm)],[36102, 36101, 35689])).
% 9.78/7.36 tff(36104,plain,
% 9.78/7.36 ((~(v162(constB38) <=> v160(constB37))) | (~v162(constB38)) | v160(constB37)),
% 9.78/7.36 inference(tautology,[status(thm)],[])).
% 9.78/7.36 tff(36105,plain,
% 9.78/7.36 (~v162(constB38)),
% 9.78/7.36 inference(unit_resolution,[status(thm)],[36104, 36103, 35687])).
% 9.78/7.36 tff(36106,plain,
% 9.78/7.36 ((~(v128(constB38) <=> v162(constB38))) | (~v128(constB38)) | v162(constB38)),
% 9.78/7.36 inference(tautology,[status(thm)],[])).
% 9.78/7.36 tff(36107,plain,
% 9.78/7.36 (~v128(constB38)),
% 9.78/7.36 inference(unit_resolution,[status(thm)],[36106, 36105, 35683])).
% 9.78/7.36 tff(36108,plain,
% 9.78/7.36 (((~v128(constB38)) | (~v139(constB38))) | v128(constB38)),
% 9.78/7.36 inference(tautology,[status(thm)],[])).
% 9.78/7.36 tff(36109,plain,
% 9.78/7.36 ((~v128(constB38)) | (~v139(constB38))),
% 9.78/7.36 inference(unit_resolution,[status(thm)],[36108, 36107])).
% 9.78/7.36 tff(36110,plain,
% 9.78/7.36 ((~(v163(constB38) <=> (~((~v128(constB38)) | (~v139(constB38)))))) | (~v163(constB38)) | (~((~v128(constB38)) | (~v139(constB38))))),
% 9.78/7.36 inference(tautology,[status(thm)],[])).
% 9.78/7.36 tff(36111,plain,
% 9.78/7.36 (~v163(constB38)),
% 9.78/7.36 inference(unit_resolution,[status(thm)],[36110, 36109, 35681])).
% 9.78/7.36 tff(36112,plain,
% 9.78/7.36 ((~(v163(constB38) | v164(constB38))) | v163(constB38) | v164(constB38)),
% 9.78/7.36 inference(tautology,[status(thm)],[])).
% 9.78/7.36 tff(36113,plain,
% 9.78/7.36 (~(v163(constB38) | v164(constB38))),
% 9.78/7.36 inference(unit_resolution,[status(thm)],[36112, 36111, 35674])).
% 9.78/7.36 tff(36114,plain,
% 9.78/7.36 ((~(v160(constB38) <=> (v163(constB38) | v164(constB38)))) | (~v160(constB38)) | (v163(constB38) | v164(constB38))),
% 9.78/7.36 inference(tautology,[status(thm)],[])).
% 9.78/7.36 tff(36115,plain,
% 9.78/7.36 (~v160(constB38)),
% 9.78/7.36 inference(unit_resolution,[status(thm)],[36114, 36113, 35639])).
% 9.78/7.36 tff(36116,plain,
% 9.78/7.36 ((~(v162(constB39) <=> v160(constB38))) | (~v162(constB39)) | v160(constB38)),
% 9.78/7.36 inference(tautology,[status(thm)],[])).
% 9.78/7.36 tff(36117,plain,
% 9.78/7.36 (~v162(constB39)),
% 9.78/7.36 inference(unit_resolution,[status(thm)],[36116, 36115, 35637])).
% 9.78/7.36 tff(36118,plain,
% 9.78/7.36 ($false),
% 9.78/7.36 inference(unit_resolution,[status(thm)],[36117, 35633])).
% 9.78/7.36 tff(36119,plain,(~(constB39 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.78/7.36 tff(36120,assumption,(constB87 = VarCurr!0), introduced(assumption)).
% 9.78/7.36 tff(36121,plain,
% 9.78/7.36 (v162(constB87) <=> v162(VarCurr!0)),
% 9.78/7.36 inference(monotonicity,[status(thm)],[36120])).
% 9.78/7.36 tff(36122,plain,
% 9.78/7.36 (v162(VarCurr!0) <=> v162(constB87)),
% 9.78/7.36 inference(symmetry,[status(thm)],[36121])).
% 9.78/7.36 tff(36123,plain,
% 9.78/7.36 (v162(constB87)),
% 9.78/7.36 inference(modus_ponens,[status(thm)],[59, 36122])).
% 9.78/7.36 tff(36124,plain,
% 9.78/7.36 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB86, constB87)) | (v162(constB87) <=> v160(constB86)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB86, constB87)) | (v162(constB87) <=> v160(constB86)))),
% 9.78/7.36 inference(rewrite,[status(thm)],[])).
% 9.78/7.36 tff(36125,plain,
% 9.78/7.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB86, constB87)) | (v162(constB87) <=> v160(constB86)))),
% 9.78/7.36 inference(quant_inst,[status(thm)],[])).
% 9.78/7.36 tff(36126,plain,
% 9.78/7.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB86, constB87)) | (v162(constB87) <=> v160(constB86))),
% 9.78/7.36 inference(modus_ponens,[status(thm)],[36125, 36124])).
% 9.78/7.36 tff(36127,plain,
% 9.78/7.36 (v162(constB87) <=> v160(constB86)),
% 9.78/7.36 inference(unit_resolution,[status(thm)],[36126, 5810, 70])).
% 9.78/7.36 tff(36128,plain,
% 9.78/7.36 ((~![VarCurr: $i] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB86) <=> (v163(constB86) | v164(constB86)))),
% 9.78/7.36 inference(quant_inst,[status(thm)],[])).
% 9.78/7.36 tff(36129,plain,
% 9.78/7.36 (v160(constB86) <=> (v163(constB86) | v164(constB86))),
% 9.78/7.36 inference(unit_resolution,[status(thm)],[36128, 84])).
% 9.78/7.36 tff(36130,plain,
% 9.78/7.36 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB86) <=> (~((~v130(constB86)) | (~v154(constB86)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB86) <=> (~((~v130(constB86)) | (~v154(constB86))))))),
% 9.78/7.36 inference(rewrite,[status(thm)],[])).
% 9.78/7.36 tff(36131,plain,
% 9.78/7.36 ((v164(constB86) <=> (~((~v154(constB86)) | (~v130(constB86))))) <=> (v164(constB86) <=> (~((~v130(constB86)) | (~v154(constB86)))))),
% 9.78/7.36 inference(rewrite,[status(thm)],[])).
% 9.78/7.36 tff(36132,plain,
% 9.78/7.36 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB86) <=> (~((~v154(constB86)) | (~v130(constB86)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB86) <=> (~((~v130(constB86)) | (~v154(constB86))))))),
% 9.78/7.36 inference(monotonicity,[status(thm)],[36131])).
% 9.78/7.36 tff(36133,plain,
% 9.78/7.36 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB86) <=> (~((~v154(constB86)) | (~v130(constB86)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB86) <=> (~((~v130(constB86)) | (~v154(constB86))))))),
% 9.78/7.36 inference(transitivity,[status(thm)],[36132, 36130])).
% 9.78/7.36 tff(36134,plain,
% 9.78/7.36 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB86) <=> (~((~v154(constB86)) | (~v130(constB86)))))),
% 9.78/7.36 inference(quant_inst,[status(thm)],[])).
% 9.78/7.36 tff(36135,plain,
% 9.78/7.36 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB86) <=> (~((~v130(constB86)) | (~v154(constB86)))))),
% 9.78/7.36 inference(modus_ponens,[status(thm)],[36134, 36133])).
% 9.78/7.36 tff(36136,plain,
% 9.78/7.36 (v164(constB86) <=> (~((~v130(constB86)) | (~v154(constB86))))),
% 9.78/7.36 inference(unit_resolution,[status(thm)],[36135, 96])).
% 9.78/7.36 tff(36137,plain,
% 9.78/7.36 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB86) <=> (~((~v141(constB86)) | (~v143(constB86)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB86) <=> (~((~v141(constB86)) | (~v143(constB86))))))),
% 9.78/7.36 inference(rewrite,[status(thm)],[])).
% 9.78/7.36 tff(36138,plain,
% 9.78/7.36 ((v154(constB86) <=> (~((~v143(constB86)) | (~v141(constB86))))) <=> (v154(constB86) <=> (~((~v141(constB86)) | (~v143(constB86)))))),
% 9.78/7.36 inference(rewrite,[status(thm)],[])).
% 9.78/7.36 tff(36139,plain,
% 9.78/7.36 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB86) <=> (~((~v143(constB86)) | (~v141(constB86)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB86) <=> (~((~v141(constB86)) | (~v143(constB86))))))),
% 9.78/7.36 inference(monotonicity,[status(thm)],[36138])).
% 9.78/7.36 tff(36140,plain,
% 9.78/7.36 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB86) <=> (~((~v143(constB86)) | (~v141(constB86)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB86) <=> (~((~v141(constB86)) | (~v143(constB86))))))),
% 9.78/7.36 inference(transitivity,[status(thm)],[36139, 36137])).
% 9.78/7.36 tff(36141,plain,
% 9.78/7.36 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB86) <=> (~((~v143(constB86)) | (~v141(constB86)))))),
% 9.78/7.36 inference(quant_inst,[status(thm)],[])).
% 9.78/7.36 tff(36142,plain,
% 9.78/7.36 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB86) <=> (~((~v141(constB86)) | (~v143(constB86)))))),
% 9.78/7.36 inference(modus_ponens,[status(thm)],[36141, 36140])).
% 9.78/7.36 tff(36143,plain,
% 9.78/7.36 (v154(constB86) <=> (~((~v141(constB86)) | (~v143(constB86))))),
% 9.78/7.36 inference(unit_resolution,[status(thm)],[36142, 113])).
% 9.78/7.36 tff(36144,plain,
% 9.78/7.36 (((~v141(constB86)) | (~v143(constB86))) | v141(constB86)),
% 9.78/7.36 inference(tautology,[status(thm)],[])).
% 9.78/7.36 tff(36145,plain,
% 9.78/7.36 ((~v141(constB86)) | (~v143(constB86))),
% 9.78/7.36 inference(unit_resolution,[status(thm)],[36144, 28424])).
% 9.78/7.36 tff(36146,plain,
% 9.78/7.36 ((~(v154(constB86) <=> (~((~v141(constB86)) | (~v143(constB86)))))) | (~v154(constB86)) | (~((~v141(constB86)) | (~v143(constB86))))),
% 9.78/7.36 inference(tautology,[status(thm)],[])).
% 9.78/7.36 tff(36147,plain,
% 9.78/7.36 ((~(v154(constB86) <=> (~((~v141(constB86)) | (~v143(constB86)))))) | (~v154(constB86))),
% 9.78/7.36 inference(unit_resolution,[status(thm)],[36146, 36145])).
% 9.78/7.36 tff(36148,plain,
% 9.78/7.36 (~v154(constB86)),
% 9.78/7.36 inference(unit_resolution,[status(thm)],[36147, 36143])).
% 9.78/7.36 tff(36149,plain,
% 9.78/7.36 (((~v130(constB86)) | (~v154(constB86))) | v154(constB86)),
% 9.78/7.36 inference(tautology,[status(thm)],[])).
% 9.78/7.36 tff(36150,plain,
% 9.78/7.36 ((~v130(constB86)) | (~v154(constB86))),
% 9.78/7.36 inference(unit_resolution,[status(thm)],[36149, 36148])).
% 9.78/7.36 tff(36151,plain,
% 9.78/7.36 ((~(v164(constB86) <=> (~((~v130(constB86)) | (~v154(constB86)))))) | (~v164(constB86)) | (~((~v130(constB86)) | (~v154(constB86))))),
% 9.78/7.36 inference(tautology,[status(thm)],[])).
% 9.78/7.36 tff(36152,plain,
% 9.78/7.36 (~v164(constB86)),
% 9.78/7.36 inference(unit_resolution,[status(thm)],[36151, 36150, 36136])).
% 9.78/7.36 tff(36153,plain,
% 9.78/7.36 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB86) <=> (~((~v128(constB86)) | (~v139(constB86)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB86) <=> (~((~v128(constB86)) | (~v139(constB86))))))),
% 9.78/7.36 inference(rewrite,[status(thm)],[])).
% 9.78/7.36 tff(36154,plain,
% 9.78/7.36 ((v163(constB86) <=> (~((~v139(constB86)) | (~v128(constB86))))) <=> (v163(constB86) <=> (~((~v128(constB86)) | (~v139(constB86)))))),
% 9.78/7.36 inference(rewrite,[status(thm)],[])).
% 9.78/7.36 tff(36155,plain,
% 9.78/7.36 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB86) <=> (~((~v139(constB86)) | (~v128(constB86)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB86) <=> (~((~v128(constB86)) | (~v139(constB86))))))),
% 9.78/7.36 inference(monotonicity,[status(thm)],[36154])).
% 9.78/7.36 tff(36156,plain,
% 9.78/7.36 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB86) <=> (~((~v139(constB86)) | (~v128(constB86)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB86) <=> (~((~v128(constB86)) | (~v139(constB86))))))),
% 9.78/7.36 inference(transitivity,[status(thm)],[36155, 36153])).
% 9.78/7.36 tff(36157,plain,
% 9.78/7.36 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB86) <=> (~((~v139(constB86)) | (~v128(constB86)))))),
% 9.78/7.36 inference(quant_inst,[status(thm)],[])).
% 9.78/7.36 tff(36158,plain,
% 9.78/7.36 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB86) <=> (~((~v128(constB86)) | (~v139(constB86)))))),
% 9.78/7.36 inference(modus_ponens,[status(thm)],[36157, 36156])).
% 9.78/7.36 tff(36159,plain,
% 9.78/7.36 (v163(constB86) <=> (~((~v128(constB86)) | (~v139(constB86))))),
% 9.78/7.36 inference(unit_resolution,[status(thm)],[36158, 171])).
% 9.78/7.36 tff(36160,plain,
% 9.78/7.36 ((~![VarNext: $i] : (v128(VarNext) <=> v162(VarNext))) | (v128(constB86) <=> v162(constB86))),
% 9.78/7.36 inference(quant_inst,[status(thm)],[])).
% 9.78/7.36 tff(36161,plain,
% 9.78/7.36 (v128(constB86) <=> v162(constB86)),
% 9.78/7.36 inference(unit_resolution,[status(thm)],[36160, 13])).
% 9.78/7.36 tff(36162,plain,
% 9.78/7.36 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB85, constB86)) | (v162(constB86) <=> v160(constB85)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB85, constB86)) | (v162(constB86) <=> v160(constB85)))),
% 9.78/7.36 inference(rewrite,[status(thm)],[])).
% 9.78/7.36 tff(36163,plain,
% 9.78/7.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB85, constB86)) | (v162(constB86) <=> v160(constB85)))),
% 9.78/7.36 inference(quant_inst,[status(thm)],[])).
% 9.78/7.36 tff(36164,plain,
% 9.78/7.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB85, constB86)) | (v162(constB86) <=> v160(constB85))),
% 9.78/7.36 inference(modus_ponens,[status(thm)],[36163, 36162])).
% 9.78/7.36 tff(36165,plain,
% 9.78/7.36 (v162(constB86) <=> v160(constB85)),
% 9.78/7.36 inference(unit_resolution,[status(thm)],[36164, 5842, 70])).
% 9.78/7.36 tff(36166,plain,
% 9.78/7.36 ((~![VarCurr: $i] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB85) <=> (v163(constB85) | v164(constB85)))),
% 9.78/7.36 inference(quant_inst,[status(thm)],[])).
% 9.78/7.36 tff(36167,plain,
% 9.78/7.36 (v160(constB85) <=> (v163(constB85) | v164(constB85))),
% 9.78/7.36 inference(unit_resolution,[status(thm)],[36166, 84])).
% 9.78/7.36 tff(36168,plain,
% 9.78/7.36 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB85) <=> (~((~v128(constB85)) | (~v139(constB85)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB85) <=> (~((~v128(constB85)) | (~v139(constB85))))))),
% 9.78/7.36 inference(rewrite,[status(thm)],[])).
% 9.78/7.36 tff(36169,plain,
% 9.78/7.36 ((v163(constB85) <=> (~((~v139(constB85)) | (~v128(constB85))))) <=> (v163(constB85) <=> (~((~v128(constB85)) | (~v139(constB85)))))),
% 9.78/7.36 inference(rewrite,[status(thm)],[])).
% 9.78/7.36 tff(36170,plain,
% 9.78/7.36 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB85) <=> (~((~v139(constB85)) | (~v128(constB85)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB85) <=> (~((~v128(constB85)) | (~v139(constB85))))))),
% 9.78/7.36 inference(monotonicity,[status(thm)],[36169])).
% 9.78/7.36 tff(36171,plain,
% 9.78/7.36 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB85) <=> (~((~v139(constB85)) | (~v128(constB85)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB85) <=> (~((~v128(constB85)) | (~v139(constB85))))))),
% 9.78/7.36 inference(transitivity,[status(thm)],[36170, 36168])).
% 9.78/7.36 tff(36172,plain,
% 9.78/7.36 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB85) <=> (~((~v139(constB85)) | (~v128(constB85)))))),
% 9.78/7.36 inference(quant_inst,[status(thm)],[])).
% 9.78/7.36 tff(36173,plain,
% 9.78/7.36 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB85) <=> (~((~v128(constB85)) | (~v139(constB85)))))),
% 9.78/7.36 inference(modus_ponens,[status(thm)],[36172, 36171])).
% 9.78/7.36 tff(36174,plain,
% 9.78/7.36 (v163(constB85) <=> (~((~v128(constB85)) | (~v139(constB85))))),
% 9.78/7.36 inference(unit_resolution,[status(thm)],[36173, 171])).
% 9.78/7.36 tff(36175,plain,
% 9.78/7.36 (((~v128(constB85)) | (~v139(constB85))) | v139(constB85)),
% 9.78/7.36 inference(tautology,[status(thm)],[])).
% 9.78/7.36 tff(36176,plain,
% 9.78/7.36 ((~v128(constB85)) | (~v139(constB85))),
% 9.78/7.36 inference(unit_resolution,[status(thm)],[36175, 28517])).
% 9.78/7.36 tff(36177,plain,
% 9.78/7.36 ((~(v163(constB85) <=> (~((~v128(constB85)) | (~v139(constB85)))))) | (~v163(constB85)) | (~((~v128(constB85)) | (~v139(constB85))))),
% 9.78/7.36 inference(tautology,[status(thm)],[])).
% 9.78/7.36 tff(36178,plain,
% 9.78/7.36 (~v163(constB85)),
% 9.78/7.36 inference(unit_resolution,[status(thm)],[36177, 36176, 36174])).
% 9.78/7.36 tff(36179,plain,
% 9.78/7.36 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB85) <=> (~((~v130(constB85)) | (~v154(constB85)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB85) <=> (~((~v130(constB85)) | (~v154(constB85))))))),
% 9.78/7.36 inference(rewrite,[status(thm)],[])).
% 9.78/7.36 tff(36180,plain,
% 9.78/7.36 ((v164(constB85) <=> (~((~v154(constB85)) | (~v130(constB85))))) <=> (v164(constB85) <=> (~((~v130(constB85)) | (~v154(constB85)))))),
% 9.78/7.36 inference(rewrite,[status(thm)],[])).
% 9.78/7.36 tff(36181,plain,
% 9.78/7.36 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB85) <=> (~((~v154(constB85)) | (~v130(constB85)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB85) <=> (~((~v130(constB85)) | (~v154(constB85))))))),
% 9.78/7.36 inference(monotonicity,[status(thm)],[36180])).
% 9.78/7.36 tff(36182,plain,
% 9.78/7.36 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB85) <=> (~((~v154(constB85)) | (~v130(constB85)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB85) <=> (~((~v130(constB85)) | (~v154(constB85))))))),
% 9.78/7.36 inference(transitivity,[status(thm)],[36181, 36179])).
% 9.78/7.36 tff(36183,plain,
% 9.78/7.36 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB85) <=> (~((~v154(constB85)) | (~v130(constB85)))))),
% 9.78/7.36 inference(quant_inst,[status(thm)],[])).
% 9.78/7.36 tff(36184,plain,
% 9.78/7.36 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB85) <=> (~((~v130(constB85)) | (~v154(constB85)))))),
% 9.78/7.36 inference(modus_ponens,[status(thm)],[36183, 36182])).
% 9.78/7.36 tff(36185,plain,
% 9.78/7.36 (v164(constB85) <=> (~((~v130(constB85)) | (~v154(constB85))))),
% 9.78/7.36 inference(unit_resolution,[status(thm)],[36184, 96])).
% 9.78/7.36 tff(36186,plain,
% 9.78/7.36 ((~![VarNext: $i] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB85) <=> v152(constB85))),
% 9.78/7.36 inference(quant_inst,[status(thm)],[])).
% 9.78/7.36 tff(36187,plain,
% 9.78/7.36 (v130(constB85) <=> v152(constB85)),
% 9.78/7.36 inference(unit_resolution,[status(thm)],[36186, 361])).
% 9.78/7.36 tff(36188,plain,
% 9.78/7.36 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB84, constB85)) | (v152(constB85) <=> v150(constB84)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB84, constB85)) | (v152(constB85) <=> v150(constB84)))),
% 9.78/7.36 inference(rewrite,[status(thm)],[])).
% 9.78/7.36 tff(36189,plain,
% 9.78/7.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB84, constB85)) | (v152(constB85) <=> v150(constB84)))),
% 9.78/7.36 inference(quant_inst,[status(thm)],[])).
% 9.78/7.36 tff(36190,plain,
% 9.78/7.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB84, constB85)) | (v152(constB85) <=> v150(constB84))),
% 9.78/7.36 inference(modus_ponens,[status(thm)],[36189, 36188])).
% 9.78/7.36 tff(36191,plain,
% 9.78/7.36 (v152(constB85) <=> v150(constB84)),
% 9.78/7.36 inference(unit_resolution,[status(thm)],[36190, 5897, 373])).
% 9.78/7.36 tff(36192,plain,
% 9.78/7.36 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v153(VarCurr) | v155(VarCurr)))) | (v150(constB84) <=> (v153(constB84) | v155(constB84)))),
% 9.78/7.36 inference(quant_inst,[status(thm)],[])).
% 9.78/7.36 tff(36193,plain,
% 9.78/7.36 (v150(constB84) <=> (v153(constB84) | v155(constB84))),
% 9.78/7.36 inference(unit_resolution,[status(thm)],[36192, 387])).
% 9.78/7.36 tff(36194,plain,
% 9.78/7.36 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB84) <=> (~((~v132(constB84)) | (~v154(constB84)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB84) <=> (~((~v132(constB84)) | (~v154(constB84))))))),
% 9.78/7.36 inference(rewrite,[status(thm)],[])).
% 9.78/7.36 tff(36195,plain,
% 9.78/7.36 ((v153(constB84) <=> (~((~v154(constB84)) | (~v132(constB84))))) <=> (v153(constB84) <=> (~((~v132(constB84)) | (~v154(constB84)))))),
% 9.78/7.36 inference(rewrite,[status(thm)],[])).
% 9.78/7.36 tff(36196,plain,
% 9.78/7.36 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB84) <=> (~((~v154(constB84)) | (~v132(constB84)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB84) <=> (~((~v132(constB84)) | (~v154(constB84))))))),
% 9.78/7.36 inference(monotonicity,[status(thm)],[36195])).
% 9.78/7.36 tff(36197,plain,
% 9.78/7.36 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB84) <=> (~((~v154(constB84)) | (~v132(constB84)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB84) <=> (~((~v132(constB84)) | (~v154(constB84))))))),
% 9.78/7.36 inference(transitivity,[status(thm)],[36196, 36194])).
% 9.78/7.36 tff(36198,plain,
% 9.78/7.36 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB84) <=> (~((~v154(constB84)) | (~v132(constB84)))))),
% 9.78/7.36 inference(quant_inst,[status(thm)],[])).
% 9.78/7.36 tff(36199,plain,
% 9.78/7.36 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB84) <=> (~((~v132(constB84)) | (~v154(constB84)))))),
% 9.78/7.36 inference(modus_ponens,[status(thm)],[36198, 36197])).
% 9.78/7.36 tff(36200,plain,
% 9.78/7.36 (v153(constB84) <=> (~((~v132(constB84)) | (~v154(constB84))))),
% 9.78/7.36 inference(unit_resolution,[status(thm)],[36199, 399])).
% 9.78/7.36 tff(36201,plain,
% 9.78/7.36 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB84) <=> (~((~v141(constB84)) | (~v143(constB84)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB84) <=> (~((~v141(constB84)) | (~v143(constB84))))))),
% 9.78/7.36 inference(rewrite,[status(thm)],[])).
% 9.78/7.36 tff(36202,plain,
% 9.78/7.36 ((v154(constB84) <=> (~((~v143(constB84)) | (~v141(constB84))))) <=> (v154(constB84) <=> (~((~v141(constB84)) | (~v143(constB84)))))),
% 9.78/7.36 inference(rewrite,[status(thm)],[])).
% 9.78/7.36 tff(36203,plain,
% 9.78/7.36 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB84) <=> (~((~v143(constB84)) | (~v141(constB84)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB84) <=> (~((~v141(constB84)) | (~v143(constB84))))))),
% 9.78/7.36 inference(monotonicity,[status(thm)],[36202])).
% 9.78/7.36 tff(36204,plain,
% 9.78/7.36 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB84) <=> (~((~v143(constB84)) | (~v141(constB84)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB84) <=> (~((~v141(constB84)) | (~v143(constB84))))))),
% 9.78/7.36 inference(transitivity,[status(thm)],[36203, 36201])).
% 9.78/7.36 tff(36205,plain,
% 9.78/7.36 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB84) <=> (~((~v143(constB84)) | (~v141(constB84)))))),
% 9.78/7.36 inference(quant_inst,[status(thm)],[])).
% 9.78/7.36 tff(36206,plain,
% 9.78/7.36 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB84) <=> (~((~v141(constB84)) | (~v143(constB84)))))),
% 9.78/7.36 inference(modus_ponens,[status(thm)],[36205, 36204])).
% 9.78/7.36 tff(36207,plain,
% 9.78/7.36 (v154(constB84) <=> (~((~v141(constB84)) | (~v143(constB84))))),
% 9.78/7.36 inference(unit_resolution,[status(thm)],[36206, 113])).
% 9.78/7.36 tff(36208,plain,
% 9.78/7.36 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB84) <=> (~((~v39(constB84)) | (~v9(constB84)))))),
% 9.78/7.36 inference(quant_inst,[status(thm)],[])).
% 9.78/7.36 tff(36209,plain,
% 9.78/7.36 (v141(constB84) <=> (~((~v39(constB84)) | (~v9(constB84))))),
% 9.78/7.36 inference(unit_resolution,[status(thm)],[36208, 130])).
% 9.78/7.36 tff(36210,plain,
% 9.78/7.36 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB84)) <=> v1(constB84))),
% 9.78/7.36 inference(quant_inst,[status(thm)],[])).
% 9.78/7.36 tff(36211,plain,
% 9.78/7.36 ((~v39(constB84)) <=> v1(constB84)),
% 9.78/7.36 inference(unit_resolution,[status(thm)],[36210, 139])).
% 9.78/7.36 tff(36212,plain,
% 9.78/7.36 ((~((~v39(constB84)) <=> v1(constB84))) | (~v39(constB84)) | (~v1(constB84))),
% 9.78/7.36 inference(tautology,[status(thm)],[])).
% 9.78/7.36 tff(36213,plain,
% 9.78/7.36 ((~((~v39(constB84)) <=> v1(constB84))) | (~v39(constB84))),
% 9.78/7.36 inference(unit_resolution,[status(thm)],[36212, 5959])).
% 9.78/7.36 tff(36214,plain,
% 9.78/7.36 (~v39(constB84)),
% 9.78/7.36 inference(unit_resolution,[status(thm)],[36213, 36211])).
% 9.78/7.36 tff(36215,plain,
% 9.78/7.36 (((~v39(constB84)) | (~v9(constB84))) | v39(constB84)),
% 9.78/7.36 inference(tautology,[status(thm)],[])).
% 9.78/7.36 tff(36216,plain,
% 9.78/7.36 ((~v39(constB84)) | (~v9(constB84))),
% 9.78/7.36 inference(unit_resolution,[status(thm)],[36215, 36214])).
% 9.78/7.36 tff(36217,plain,
% 9.78/7.36 ((~(v141(constB84) <=> (~((~v39(constB84)) | (~v9(constB84)))))) | (~v141(constB84)) | (~((~v39(constB84)) | (~v9(constB84))))),
% 9.78/7.36 inference(tautology,[status(thm)],[])).
% 9.78/7.36 tff(36218,plain,
% 9.78/7.36 ((~(v141(constB84) <=> (~((~v39(constB84)) | (~v9(constB84)))))) | (~v141(constB84))),
% 9.78/7.36 inference(unit_resolution,[status(thm)],[36217, 36216])).
% 9.78/7.36 tff(36219,plain,
% 9.78/7.36 (~v141(constB84)),
% 9.78/7.36 inference(unit_resolution,[status(thm)],[36218, 36209])).
% 9.78/7.36 tff(36220,plain,
% 9.78/7.36 (((~v141(constB84)) | (~v143(constB84))) | v141(constB84)),
% 9.78/7.36 inference(tautology,[status(thm)],[])).
% 9.78/7.36 tff(36221,plain,
% 9.78/7.36 ((~v141(constB84)) | (~v143(constB84))),
% 9.78/7.36 inference(unit_resolution,[status(thm)],[36220, 36219])).
% 9.78/7.36 tff(36222,plain,
% 9.78/7.36 ((~(v154(constB84) <=> (~((~v141(constB84)) | (~v143(constB84)))))) | (~v154(constB84)) | (~((~v141(constB84)) | (~v143(constB84))))),
% 9.78/7.36 inference(tautology,[status(thm)],[])).
% 9.78/7.36 tff(36223,plain,
% 9.78/7.36 ((~(v154(constB84) <=> (~((~v141(constB84)) | (~v143(constB84)))))) | (~v154(constB84))),
% 9.78/7.36 inference(unit_resolution,[status(thm)],[36222, 36221])).
% 9.78/7.36 tff(36224,plain,
% 9.78/7.36 (~v154(constB84)),
% 9.78/7.36 inference(unit_resolution,[status(thm)],[36223, 36207])).
% 9.78/7.36 tff(36225,plain,
% 9.78/7.36 (((~v132(constB84)) | (~v154(constB84))) | v154(constB84)),
% 9.78/7.36 inference(tautology,[status(thm)],[])).
% 9.78/7.36 tff(36226,plain,
% 9.78/7.36 ((~v132(constB84)) | (~v154(constB84))),
% 9.78/7.36 inference(unit_resolution,[status(thm)],[36225, 36224])).
% 9.78/7.36 tff(36227,plain,
% 9.78/7.36 ((~(v153(constB84) <=> (~((~v132(constB84)) | (~v154(constB84)))))) | (~v153(constB84)) | (~((~v132(constB84)) | (~v154(constB84))))),
% 9.78/7.36 inference(tautology,[status(thm)],[])).
% 9.78/7.36 tff(36228,plain,
% 9.78/7.36 (~v153(constB84)),
% 9.78/7.36 inference(unit_resolution,[status(thm)],[36227, 36226, 36200])).
% 9.78/7.36 tff(36229,plain,
% 9.78/7.36 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB84) <=> (~((~v130(constB84)) | (~v139(constB84)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB84) <=> (~((~v130(constB84)) | (~v139(constB84))))))),
% 9.78/7.36 inference(rewrite,[status(thm)],[])).
% 9.78/7.36 tff(36230,plain,
% 9.78/7.36 ((v155(constB84) <=> (~((~v139(constB84)) | (~v130(constB84))))) <=> (v155(constB84) <=> (~((~v130(constB84)) | (~v139(constB84)))))),
% 9.78/7.36 inference(rewrite,[status(thm)],[])).
% 9.78/7.36 tff(36231,plain,
% 9.78/7.36 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB84) <=> (~((~v139(constB84)) | (~v130(constB84)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB84) <=> (~((~v130(constB84)) | (~v139(constB84))))))),
% 9.78/7.36 inference(monotonicity,[status(thm)],[36230])).
% 9.78/7.36 tff(36232,plain,
% 9.78/7.36 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB84) <=> (~((~v139(constB84)) | (~v130(constB84)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB84) <=> (~((~v130(constB84)) | (~v139(constB84))))))),
% 9.78/7.36 inference(transitivity,[status(thm)],[36231, 36229])).
% 9.78/7.36 tff(36233,plain,
% 9.78/7.36 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB84) <=> (~((~v139(constB84)) | (~v130(constB84)))))),
% 9.78/7.36 inference(quant_inst,[status(thm)],[])).
% 9.78/7.36 tff(36234,plain,
% 9.78/7.36 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB84) <=> (~((~v130(constB84)) | (~v139(constB84)))))),
% 9.78/7.36 inference(modus_ponens,[status(thm)],[36233, 36232])).
% 9.78/7.36 tff(36235,plain,
% 9.78/7.36 (v155(constB84) <=> (~((~v130(constB84)) | (~v139(constB84))))),
% 9.78/7.36 inference(unit_resolution,[status(thm)],[36234, 447])).
% 9.78/7.36 tff(36236,plain,
% 9.78/7.36 ((~![VarNext: $i] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB84) <=> v152(constB84))),
% 9.78/7.36 inference(quant_inst,[status(thm)],[])).
% 9.78/7.36 tff(36237,plain,
% 9.78/7.36 (v130(constB84) <=> v152(constB84)),
% 9.78/7.36 inference(unit_resolution,[status(thm)],[36236, 361])).
% 9.78/7.36 tff(36238,plain,
% 9.78/7.36 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB83, constB84)) | (v152(constB84) <=> v150(constB83)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB83, constB84)) | (v152(constB84) <=> v150(constB83)))),
% 9.78/7.36 inference(rewrite,[status(thm)],[])).
% 9.78/7.36 tff(36239,plain,
% 9.78/7.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB83, constB84)) | (v152(constB84) <=> v150(constB83)))),
% 9.78/7.36 inference(quant_inst,[status(thm)],[])).
% 9.78/7.36 tff(36240,plain,
% 9.78/7.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB83, constB84)) | (v152(constB84) <=> v150(constB83))),
% 9.78/7.36 inference(modus_ponens,[status(thm)],[36239, 36238])).
% 9.78/7.36 tff(36241,plain,
% 9.78/7.36 (v152(constB84) <=> v150(constB83)),
% 9.78/7.36 inference(unit_resolution,[status(thm)],[36240, 5929, 373])).
% 9.78/7.36 tff(36242,plain,
% 9.78/7.36 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v153(VarCurr) | v155(VarCurr)))) | (v150(constB83) <=> (v153(constB83) | v155(constB83)))),
% 9.78/7.36 inference(quant_inst,[status(thm)],[])).
% 9.78/7.36 tff(36243,plain,
% 9.78/7.36 (v150(constB83) <=> (v153(constB83) | v155(constB83))),
% 9.78/7.36 inference(unit_resolution,[status(thm)],[36242, 387])).
% 9.78/7.36 tff(36244,plain,
% 9.78/7.36 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB83) <=> (~((~v130(constB83)) | (~v139(constB83)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB83) <=> (~((~v130(constB83)) | (~v139(constB83))))))),
% 9.78/7.36 inference(rewrite,[status(thm)],[])).
% 9.78/7.36 tff(36245,plain,
% 9.78/7.36 ((v155(constB83) <=> (~((~v139(constB83)) | (~v130(constB83))))) <=> (v155(constB83) <=> (~((~v130(constB83)) | (~v139(constB83)))))),
% 9.78/7.36 inference(rewrite,[status(thm)],[])).
% 9.78/7.36 tff(36246,plain,
% 9.78/7.36 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB83) <=> (~((~v139(constB83)) | (~v130(constB83)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB83) <=> (~((~v130(constB83)) | (~v139(constB83))))))),
% 9.78/7.36 inference(monotonicity,[status(thm)],[36245])).
% 9.78/7.36 tff(36247,plain,
% 9.78/7.36 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB83) <=> (~((~v139(constB83)) | (~v130(constB83)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB83) <=> (~((~v130(constB83)) | (~v139(constB83))))))),
% 9.78/7.36 inference(transitivity,[status(thm)],[36246, 36244])).
% 9.78/7.36 tff(36248,plain,
% 9.78/7.36 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB83) <=> (~((~v139(constB83)) | (~v130(constB83)))))),
% 9.78/7.36 inference(quant_inst,[status(thm)],[])).
% 9.78/7.36 tff(36249,plain,
% 9.78/7.36 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB83) <=> (~((~v130(constB83)) | (~v139(constB83)))))),
% 9.78/7.36 inference(modus_ponens,[status(thm)],[36248, 36247])).
% 9.78/7.36 tff(36250,plain,
% 9.78/7.36 (v155(constB83) <=> (~((~v130(constB83)) | (~v139(constB83))))),
% 9.78/7.36 inference(unit_resolution,[status(thm)],[36249, 447])).
% 9.78/7.36 tff(36251,plain,
% 9.78/7.36 ((~![VarCurr: $i] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB83)) <=> v140(constB83))),
% 9.78/7.36 inference(quant_inst,[status(thm)],[])).
% 9.78/7.36 tff(36252,plain,
% 9.78/7.36 ((~v139(constB83)) <=> v140(constB83)),
% 9.78/7.36 inference(unit_resolution,[status(thm)],[36251, 203])).
% 9.78/7.36 tff(36253,plain,
% 9.78/7.36 ((~![VarCurr: $i] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB83) <=> (v141(constB83) | v26(constB83)))),
% 9.78/7.36 inference(quant_inst,[status(thm)],[])).
% 9.78/7.36 tff(36254,plain,
% 9.78/7.36 (v140(constB83) <=> (v141(constB83) | v26(constB83))),
% 9.78/7.36 inference(unit_resolution,[status(thm)],[36253, 212])).
% 9.78/7.36 tff(36255,plain,
% 9.78/7.36 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB83) <=> (~((~v39(constB83)) | (~v9(constB83)))))),
% 9.78/7.36 inference(quant_inst,[status(thm)],[])).
% 9.78/7.36 tff(36256,plain,
% 9.78/7.36 (v141(constB83) <=> (~((~v39(constB83)) | (~v9(constB83))))),
% 9.78/7.36 inference(unit_resolution,[status(thm)],[36255, 130])).
% 9.78/7.36 tff(36257,plain,
% 9.78/7.36 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB83, constB84)) | (v13(constB84) <=> v9(constB83)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB83, constB84)) | (v13(constB84) <=> v9(constB83)))),
% 9.78/7.36 inference(rewrite,[status(thm)],[])).
% 9.78/7.36 tff(36258,plain,
% 9.78/7.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB83, constB84)) | (v13(constB84) <=> v9(constB83)))),
% 9.78/7.36 inference(quant_inst,[status(thm)],[])).
% 9.78/7.36 tff(36259,plain,
% 9.78/7.36 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB83, constB84)) | (v13(constB84) <=> v9(constB83))),
% 9.78/7.36 inference(modus_ponens,[status(thm)],[36258, 36257])).
% 9.78/7.36 tff(36260,plain,
% 9.78/7.36 (v13(constB84) <=> v9(constB83)),
% 9.78/7.36 inference(unit_resolution,[status(thm)],[36259, 5929, 226])).
% 9.78/7.36 tff(36261,plain,
% 9.78/7.36 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB84) <=> v13(constB84))),
% 9.78/7.36 inference(quant_inst,[status(thm)],[])).
% 9.78/7.36 tff(36262,plain,
% 9.78/7.36 (v6(constB84) <=> v13(constB84)),
% 9.78/7.36 inference(unit_resolution,[status(thm)],[36261, 240])).
% 9.78/7.36 tff(36263,plain,
% 9.78/7.36 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB84)) <=> v6(constB84))),
% 9.78/7.36 inference(quant_inst,[status(thm)],[])).
% 9.78/7.36 tff(36264,plain,
% 9.78/7.36 ((~v21(constB84)) <=> v6(constB84)),
% 9.78/7.36 inference(unit_resolution,[status(thm)],[36263, 249])).
% 9.78/7.36 tff(36265,plain,
% 9.78/7.36 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB84) <=> (v20(constB84) | v21(constB84)))),
% 9.78/7.36 inference(quant_inst,[status(thm)],[])).
% 9.78/7.36 tff(36266,plain,
% 9.78/7.36 (v19(constB84) <=> (v20(constB84) | v21(constB84))),
% 9.78/7.36 inference(unit_resolution,[status(thm)],[36265, 258])).
% 9.78/7.36 tff(36267,plain,
% 9.78/7.36 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB84) <=> (~((~v19(constB84)) | (~v22(constB84)))))),
% 9.78/7.36 inference(quant_inst,[status(thm)],[])).
% 9.78/7.36 tff(36268,plain,
% 9.78/7.36 (v18(constB84) <=> (~((~v19(constB84)) | (~v22(constB84))))),
% 9.78/7.36 inference(unit_resolution,[status(thm)],[36267, 270])).
% 9.78/7.36 tff(36269,plain,
% 9.78/7.36 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB84)) <=> v18(constB84))),
% 9.78/7.36 inference(quant_inst,[status(thm)],[])).
% 9.78/7.36 tff(36270,plain,
% 9.78/7.36 ((~v4(constB84)) <=> v18(constB84)),
% 9.78/7.36 inference(unit_resolution,[status(thm)],[36269, 279])).
% 9.78/7.36 tff(36271,plain,
% 9.78/7.37 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB84)),
% 9.78/7.37 inference(quant_inst,[status(thm)],[])).
% 9.78/7.37 tff(36272,plain,
% 9.78/7.37 (v4(constB84)),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36271, 288])).
% 9.78/7.37 tff(36273,plain,
% 9.78/7.37 ((~((~v4(constB84)) <=> v18(constB84))) | (~v4(constB84)) | (~v18(constB84))),
% 9.78/7.37 inference(tautology,[status(thm)],[])).
% 9.78/7.37 tff(36274,plain,
% 9.78/7.37 (~v18(constB84)),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36273, 36272, 36270])).
% 9.78/7.37 tff(36275,plain,
% 9.78/7.37 ((~(v18(constB84) <=> (~((~v19(constB84)) | (~v22(constB84)))))) | v18(constB84) | ((~v19(constB84)) | (~v22(constB84)))),
% 9.78/7.37 inference(tautology,[status(thm)],[])).
% 9.78/7.37 tff(36276,plain,
% 9.78/7.37 ((~v19(constB84)) | (~v22(constB84))),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36275, 36274, 36268])).
% 9.78/7.37 tff(36277,plain,
% 9.78/7.37 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB84) <=> (v1(constB84) | v6(constB84)))),
% 9.78/7.37 inference(quant_inst,[status(thm)],[])).
% 9.78/7.37 tff(36278,plain,
% 9.78/7.37 (v22(constB84) <=> (v1(constB84) | v6(constB84))),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36277, 301])).
% 9.78/7.37 tff(36279,plain,
% 9.78/7.37 ((v1(constB84) | v6(constB84)) | (~v1(constB84))),
% 9.78/7.37 inference(tautology,[status(thm)],[])).
% 9.78/7.37 tff(36280,plain,
% 9.78/7.37 (v1(constB84) | v6(constB84)),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36279, 5959])).
% 9.78/7.37 tff(36281,plain,
% 9.78/7.37 ((~(v22(constB84) <=> (v1(constB84) | v6(constB84)))) | v22(constB84) | (~(v1(constB84) | v6(constB84)))),
% 9.78/7.37 inference(tautology,[status(thm)],[])).
% 9.78/7.37 tff(36282,plain,
% 9.78/7.37 ((~(v22(constB84) <=> (v1(constB84) | v6(constB84)))) | v22(constB84)),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36281, 36280])).
% 9.78/7.37 tff(36283,plain,
% 9.78/7.37 (v22(constB84)),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36282, 36278])).
% 9.78/7.37 tff(36284,plain,
% 9.78/7.37 ((~((~v19(constB84)) | (~v22(constB84)))) | (~v19(constB84)) | (~v22(constB84))),
% 9.78/7.37 inference(tautology,[status(thm)],[])).
% 9.78/7.37 tff(36285,plain,
% 9.78/7.37 ((~((~v19(constB84)) | (~v22(constB84)))) | (~v19(constB84))),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36284, 36283])).
% 9.78/7.37 tff(36286,plain,
% 9.78/7.37 (~v19(constB84)),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36285, 36276])).
% 9.78/7.37 tff(36287,plain,
% 9.78/7.37 ((~(v19(constB84) <=> (v20(constB84) | v21(constB84)))) | v19(constB84) | (~(v20(constB84) | v21(constB84)))),
% 9.78/7.37 inference(tautology,[status(thm)],[])).
% 9.78/7.37 tff(36288,plain,
% 9.78/7.37 (~(v20(constB84) | v21(constB84))),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36287, 36286, 36266])).
% 9.78/7.37 tff(36289,plain,
% 9.78/7.37 ((v20(constB84) | v21(constB84)) | (~v21(constB84))),
% 9.78/7.37 inference(tautology,[status(thm)],[])).
% 9.78/7.37 tff(36290,plain,
% 9.78/7.37 (~v21(constB84)),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36289, 36288])).
% 9.78/7.37 tff(36291,plain,
% 9.78/7.37 ((~((~v21(constB84)) <=> v6(constB84))) | v21(constB84) | v6(constB84)),
% 9.78/7.37 inference(tautology,[status(thm)],[])).
% 9.78/7.37 tff(36292,plain,
% 9.78/7.37 (v6(constB84)),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36291, 36290, 36264])).
% 9.78/7.37 tff(36293,plain,
% 9.78/7.37 ((~(v6(constB84) <=> v13(constB84))) | (~v6(constB84)) | v13(constB84)),
% 9.78/7.37 inference(tautology,[status(thm)],[])).
% 9.78/7.37 tff(36294,plain,
% 9.78/7.37 (v13(constB84)),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36293, 36292, 36262])).
% 9.78/7.37 tff(36295,plain,
% 9.78/7.37 ((~(v13(constB84) <=> v9(constB83))) | (~v13(constB84)) | v9(constB83)),
% 9.78/7.37 inference(tautology,[status(thm)],[])).
% 9.78/7.37 tff(36296,plain,
% 9.78/7.37 (v9(constB83)),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36295, 36294, 36260])).
% 9.78/7.37 tff(36297,plain,
% 9.78/7.37 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB83)) <=> v1(constB83))),
% 9.78/7.37 inference(quant_inst,[status(thm)],[])).
% 9.78/7.37 tff(36298,plain,
% 9.78/7.37 ((~v39(constB83)) <=> v1(constB83)),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36297, 139])).
% 9.78/7.37 tff(36299,plain,
% 9.78/7.37 ((~((~v39(constB83)) <=> v1(constB83))) | v39(constB83) | v1(constB83)),
% 9.78/7.37 inference(tautology,[status(thm)],[])).
% 9.78/7.37 tff(36300,plain,
% 9.78/7.37 ((~((~v39(constB83)) <=> v1(constB83))) | v39(constB83)),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36299, 5951])).
% 9.78/7.37 tff(36301,plain,
% 9.78/7.37 (v39(constB83)),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36300, 36298])).
% 9.78/7.37 tff(36302,plain,
% 9.78/7.37 ((~((~v39(constB83)) | (~v9(constB83)))) | (~v39(constB83)) | (~v9(constB83))),
% 9.78/7.37 inference(tautology,[status(thm)],[])).
% 9.78/7.37 tff(36303,plain,
% 9.78/7.37 ((~((~v39(constB83)) | (~v9(constB83)))) | (~v9(constB83))),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36302, 36301])).
% 9.78/7.37 tff(36304,plain,
% 9.78/7.37 (~((~v39(constB83)) | (~v9(constB83)))),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36303, 36296])).
% 9.78/7.37 tff(36305,plain,
% 9.78/7.37 ((~(v141(constB83) <=> (~((~v39(constB83)) | (~v9(constB83)))))) | v141(constB83) | ((~v39(constB83)) | (~v9(constB83)))),
% 9.78/7.37 inference(tautology,[status(thm)],[])).
% 9.78/7.37 tff(36306,plain,
% 9.78/7.37 (v141(constB83)),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36305, 36304, 36256])).
% 9.78/7.37 tff(36307,plain,
% 9.78/7.37 ((v141(constB83) | v26(constB83)) | (~v141(constB83))),
% 9.78/7.37 inference(tautology,[status(thm)],[])).
% 9.78/7.37 tff(36308,plain,
% 9.78/7.37 (v141(constB83) | v26(constB83)),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36307, 36306])).
% 9.78/7.37 tff(36309,plain,
% 9.78/7.37 ((~(v140(constB83) <=> (v141(constB83) | v26(constB83)))) | v140(constB83) | (~(v141(constB83) | v26(constB83)))),
% 9.78/7.37 inference(tautology,[status(thm)],[])).
% 9.78/7.37 tff(36310,plain,
% 9.78/7.37 (v140(constB83)),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36309, 36308, 36254])).
% 9.78/7.37 tff(36311,plain,
% 9.78/7.37 ((~((~v139(constB83)) <=> v140(constB83))) | (~v139(constB83)) | (~v140(constB83))),
% 9.78/7.37 inference(tautology,[status(thm)],[])).
% 9.78/7.37 tff(36312,plain,
% 9.78/7.37 (~v139(constB83)),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36311, 36310, 36252])).
% 9.78/7.37 tff(36313,plain,
% 9.78/7.37 (((~v130(constB83)) | (~v139(constB83))) | v139(constB83)),
% 9.78/7.37 inference(tautology,[status(thm)],[])).
% 9.78/7.37 tff(36314,plain,
% 9.78/7.37 ((~v130(constB83)) | (~v139(constB83))),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36313, 36312])).
% 9.78/7.37 tff(36315,plain,
% 9.78/7.37 ((~(v155(constB83) <=> (~((~v130(constB83)) | (~v139(constB83)))))) | (~v155(constB83)) | (~((~v130(constB83)) | (~v139(constB83))))),
% 9.78/7.37 inference(tautology,[status(thm)],[])).
% 9.78/7.37 tff(36316,plain,
% 9.78/7.37 (~v155(constB83)),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36315, 36314, 36250])).
% 9.78/7.37 tff(36317,plain,
% 9.78/7.37 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB83) <=> (~((~v132(constB83)) | (~v154(constB83)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB83) <=> (~((~v132(constB83)) | (~v154(constB83))))))),
% 9.78/7.37 inference(rewrite,[status(thm)],[])).
% 9.78/7.37 tff(36318,plain,
% 9.78/7.37 ((v153(constB83) <=> (~((~v154(constB83)) | (~v132(constB83))))) <=> (v153(constB83) <=> (~((~v132(constB83)) | (~v154(constB83)))))),
% 9.78/7.37 inference(rewrite,[status(thm)],[])).
% 9.78/7.37 tff(36319,plain,
% 9.78/7.37 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB83) <=> (~((~v154(constB83)) | (~v132(constB83)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB83) <=> (~((~v132(constB83)) | (~v154(constB83))))))),
% 9.78/7.37 inference(monotonicity,[status(thm)],[36318])).
% 9.78/7.37 tff(36320,plain,
% 9.78/7.37 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB83) <=> (~((~v154(constB83)) | (~v132(constB83)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB83) <=> (~((~v132(constB83)) | (~v154(constB83))))))),
% 9.78/7.37 inference(transitivity,[status(thm)],[36319, 36317])).
% 9.78/7.37 tff(36321,plain,
% 9.78/7.37 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB83) <=> (~((~v154(constB83)) | (~v132(constB83)))))),
% 9.78/7.37 inference(quant_inst,[status(thm)],[])).
% 9.78/7.37 tff(36322,plain,
% 9.78/7.37 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB83) <=> (~((~v132(constB83)) | (~v154(constB83)))))),
% 9.78/7.37 inference(modus_ponens,[status(thm)],[36321, 36320])).
% 9.78/7.37 tff(36323,plain,
% 9.78/7.37 (v153(constB83) <=> (~((~v132(constB83)) | (~v154(constB83))))),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36322, 399])).
% 9.78/7.37 tff(36324,plain,
% 9.78/7.37 ((~![VarNext: $i] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB83) <=> v137(constB83))),
% 9.78/7.37 inference(quant_inst,[status(thm)],[])).
% 9.78/7.37 tff(36325,plain,
% 9.78/7.37 (v132(constB83) <=> v137(constB83)),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36324, 558])).
% 9.78/7.37 tff(36326,plain,
% 9.78/7.37 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB82, constB83)) | (v137(constB83) <=> v135(constB82)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB82, constB83)) | (v137(constB83) <=> v135(constB82)))),
% 9.78/7.37 inference(rewrite,[status(thm)],[])).
% 9.78/7.37 tff(36327,plain,
% 9.78/7.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB82, constB83)) | (v137(constB83) <=> v135(constB82)))),
% 9.78/7.37 inference(quant_inst,[status(thm)],[])).
% 9.78/7.37 tff(36328,plain,
% 9.78/7.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB82, constB83)) | (v137(constB83) <=> v135(constB82))),
% 9.78/7.37 inference(modus_ponens,[status(thm)],[36327, 36326])).
% 9.78/7.37 tff(36329,plain,
% 9.78/7.37 (v137(constB83) <=> v135(constB82)),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36328, 5986, 570])).
% 9.78/7.37 tff(36330,plain,
% 9.78/7.37 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB82) <=> (v138(constB82) | v142(constB82)))),
% 9.78/7.37 inference(quant_inst,[status(thm)],[])).
% 9.78/7.37 tff(36331,plain,
% 9.78/7.37 (v135(constB82) <=> (v138(constB82) | v142(constB82))),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36330, 584])).
% 9.78/7.37 tff(36332,plain,
% 9.78/7.37 ((~![VarCurr: $i] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB82) <=> (~((~v143(constB82)) | (~v144(constB82)))))),
% 9.78/7.37 inference(quant_inst,[status(thm)],[])).
% 9.78/7.37 tff(36333,plain,
% 9.78/7.37 (v142(constB82) <=> (~((~v143(constB82)) | (~v144(constB82))))),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36332, 596])).
% 9.78/7.37 tff(36334,plain,
% 9.78/7.37 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB82) <=> (~((~v141(constB82)) | (~v145(constB82)))))),
% 9.78/7.37 inference(quant_inst,[status(thm)],[])).
% 9.78/7.37 tff(36335,plain,
% 9.78/7.37 (v144(constB82) <=> (~((~v141(constB82)) | (~v145(constB82))))),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36334, 608])).
% 9.78/7.37 tff(36336,plain,
% 9.78/7.37 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB82) <=> (~((~v39(constB82)) | (~v9(constB82)))))),
% 9.78/7.37 inference(quant_inst,[status(thm)],[])).
% 9.78/7.37 tff(36337,plain,
% 9.78/7.37 (v141(constB82) <=> (~((~v39(constB82)) | (~v9(constB82))))),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36336, 130])).
% 9.78/7.37 tff(36338,plain,
% 9.78/7.37 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB82)) <=> v1(constB82))),
% 9.78/7.37 inference(quant_inst,[status(thm)],[])).
% 9.78/7.37 tff(36339,plain,
% 9.78/7.37 ((~v39(constB82)) <=> v1(constB82)),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36338, 139])).
% 9.78/7.37 tff(36340,plain,
% 9.78/7.37 ((~((~v39(constB82)) <=> v1(constB82))) | (~v39(constB82)) | (~v1(constB82))),
% 9.78/7.37 inference(tautology,[status(thm)],[])).
% 9.78/7.37 tff(36341,plain,
% 9.78/7.37 ((~((~v39(constB82)) <=> v1(constB82))) | (~v39(constB82))),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36340, 6048])).
% 9.78/7.37 tff(36342,plain,
% 9.78/7.37 (~v39(constB82)),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36341, 36339])).
% 9.78/7.37 tff(36343,plain,
% 9.78/7.37 (((~v39(constB82)) | (~v9(constB82))) | v39(constB82)),
% 9.78/7.37 inference(tautology,[status(thm)],[])).
% 9.78/7.37 tff(36344,plain,
% 9.78/7.37 ((~v39(constB82)) | (~v9(constB82))),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36343, 36342])).
% 9.78/7.37 tff(36345,plain,
% 9.78/7.37 ((~(v141(constB82) <=> (~((~v39(constB82)) | (~v9(constB82)))))) | (~v141(constB82)) | (~((~v39(constB82)) | (~v9(constB82))))),
% 9.78/7.37 inference(tautology,[status(thm)],[])).
% 9.78/7.37 tff(36346,plain,
% 9.78/7.37 ((~(v141(constB82) <=> (~((~v39(constB82)) | (~v9(constB82)))))) | (~v141(constB82))),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36345, 36344])).
% 9.78/7.37 tff(36347,plain,
% 9.78/7.37 (~v141(constB82)),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36346, 36337])).
% 9.78/7.37 tff(36348,plain,
% 9.78/7.37 (((~v141(constB82)) | (~v145(constB82))) | v141(constB82)),
% 9.78/7.37 inference(tautology,[status(thm)],[])).
% 9.78/7.37 tff(36349,plain,
% 9.78/7.37 ((~v141(constB82)) | (~v145(constB82))),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36348, 36347])).
% 9.78/7.37 tff(36350,plain,
% 9.78/7.37 ((~(v144(constB82) <=> (~((~v141(constB82)) | (~v145(constB82)))))) | (~v144(constB82)) | (~((~v141(constB82)) | (~v145(constB82))))),
% 9.78/7.37 inference(tautology,[status(thm)],[])).
% 9.78/7.37 tff(36351,plain,
% 9.78/7.37 ((~(v144(constB82) <=> (~((~v141(constB82)) | (~v145(constB82)))))) | (~v144(constB82))),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36350, 36349])).
% 9.78/7.37 tff(36352,plain,
% 9.78/7.37 (~v144(constB82)),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36351, 36335])).
% 9.78/7.37 tff(36353,plain,
% 9.78/7.37 (((~v143(constB82)) | (~v144(constB82))) | v144(constB82)),
% 9.78/7.37 inference(tautology,[status(thm)],[])).
% 9.78/7.37 tff(36354,plain,
% 9.78/7.37 ((~v143(constB82)) | (~v144(constB82))),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36353, 36352])).
% 9.78/7.37 tff(36355,plain,
% 9.78/7.37 ((~(v142(constB82) <=> (~((~v143(constB82)) | (~v144(constB82)))))) | (~v142(constB82)) | (~((~v143(constB82)) | (~v144(constB82))))),
% 9.78/7.37 inference(tautology,[status(thm)],[])).
% 9.78/7.37 tff(36356,plain,
% 9.78/7.37 (~v142(constB82)),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36355, 36354, 36333])).
% 9.78/7.37 tff(36357,plain,
% 9.78/7.37 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB82) <=> (~((~v132(constB82)) | (~v139(constB82)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB82) <=> (~((~v132(constB82)) | (~v139(constB82))))))),
% 9.78/7.37 inference(rewrite,[status(thm)],[])).
% 9.78/7.37 tff(36358,plain,
% 9.78/7.37 ((v138(constB82) <=> (~((~v139(constB82)) | (~v132(constB82))))) <=> (v138(constB82) <=> (~((~v132(constB82)) | (~v139(constB82)))))),
% 9.78/7.37 inference(rewrite,[status(thm)],[])).
% 9.78/7.37 tff(36359,plain,
% 9.78/7.37 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB82) <=> (~((~v139(constB82)) | (~v132(constB82)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB82) <=> (~((~v132(constB82)) | (~v139(constB82))))))),
% 9.78/7.37 inference(monotonicity,[status(thm)],[36358])).
% 9.78/7.37 tff(36360,plain,
% 9.78/7.37 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB82) <=> (~((~v139(constB82)) | (~v132(constB82)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB82) <=> (~((~v132(constB82)) | (~v139(constB82))))))),
% 9.78/7.37 inference(transitivity,[status(thm)],[36359, 36357])).
% 9.78/7.37 tff(36361,plain,
% 9.78/7.37 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB82) <=> (~((~v139(constB82)) | (~v132(constB82)))))),
% 9.78/7.37 inference(quant_inst,[status(thm)],[])).
% 9.78/7.37 tff(36362,plain,
% 9.78/7.37 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB82) <=> (~((~v132(constB82)) | (~v139(constB82)))))),
% 9.78/7.37 inference(modus_ponens,[status(thm)],[36361, 36360])).
% 9.78/7.37 tff(36363,plain,
% 9.78/7.37 (v138(constB82) <=> (~((~v132(constB82)) | (~v139(constB82))))),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36362, 644])).
% 9.78/7.37 tff(36364,plain,
% 9.78/7.37 ((~![VarNext: $i] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB82) <=> v137(constB82))),
% 9.78/7.37 inference(quant_inst,[status(thm)],[])).
% 9.78/7.37 tff(36365,plain,
% 9.78/7.37 (v132(constB82) <=> v137(constB82)),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36364, 558])).
% 9.78/7.37 tff(36366,plain,
% 9.78/7.37 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB81, constB82)) | (v137(constB82) <=> v135(constB81)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB81, constB82)) | (v137(constB82) <=> v135(constB81)))),
% 9.78/7.37 inference(rewrite,[status(thm)],[])).
% 9.78/7.37 tff(36367,plain,
% 9.78/7.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB81, constB82)) | (v137(constB82) <=> v135(constB81)))),
% 9.78/7.37 inference(quant_inst,[status(thm)],[])).
% 9.78/7.37 tff(36368,plain,
% 9.78/7.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB81, constB82)) | (v137(constB82) <=> v135(constB81))),
% 9.78/7.37 inference(modus_ponens,[status(thm)],[36367, 36366])).
% 9.78/7.37 tff(36369,plain,
% 9.78/7.37 (v137(constB82) <=> v135(constB81)),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36368, 6018, 570])).
% 9.78/7.37 tff(36370,plain,
% 9.78/7.37 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB81) <=> (v138(constB81) | v142(constB81)))),
% 9.78/7.37 inference(quant_inst,[status(thm)],[])).
% 9.78/7.37 tff(36371,plain,
% 9.78/7.37 (v135(constB81) <=> (v138(constB81) | v142(constB81))),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36370, 584])).
% 9.78/7.37 tff(36372,plain,
% 9.78/7.37 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB81) <=> (~((~v132(constB81)) | (~v139(constB81)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB81) <=> (~((~v132(constB81)) | (~v139(constB81))))))),
% 9.78/7.37 inference(rewrite,[status(thm)],[])).
% 9.78/7.37 tff(36373,plain,
% 9.78/7.37 ((v138(constB81) <=> (~((~v139(constB81)) | (~v132(constB81))))) <=> (v138(constB81) <=> (~((~v132(constB81)) | (~v139(constB81)))))),
% 9.78/7.37 inference(rewrite,[status(thm)],[])).
% 9.78/7.37 tff(36374,plain,
% 9.78/7.37 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB81) <=> (~((~v139(constB81)) | (~v132(constB81)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB81) <=> (~((~v132(constB81)) | (~v139(constB81))))))),
% 9.78/7.37 inference(monotonicity,[status(thm)],[36373])).
% 9.78/7.37 tff(36375,plain,
% 9.78/7.37 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB81) <=> (~((~v139(constB81)) | (~v132(constB81)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB81) <=> (~((~v132(constB81)) | (~v139(constB81))))))),
% 9.78/7.37 inference(transitivity,[status(thm)],[36374, 36372])).
% 9.78/7.37 tff(36376,plain,
% 9.78/7.37 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB81) <=> (~((~v139(constB81)) | (~v132(constB81)))))),
% 9.78/7.37 inference(quant_inst,[status(thm)],[])).
% 9.78/7.37 tff(36377,plain,
% 9.78/7.37 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB81) <=> (~((~v132(constB81)) | (~v139(constB81)))))),
% 9.78/7.37 inference(modus_ponens,[status(thm)],[36376, 36375])).
% 9.78/7.37 tff(36378,plain,
% 9.78/7.37 (v138(constB81) <=> (~((~v132(constB81)) | (~v139(constB81))))),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36377, 644])).
% 9.78/7.37 tff(36379,plain,
% 9.78/7.37 ((~![VarCurr: $i] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB81)) <=> v140(constB81))),
% 9.78/7.37 inference(quant_inst,[status(thm)],[])).
% 9.78/7.37 tff(36380,plain,
% 9.78/7.37 ((~v139(constB81)) <=> v140(constB81)),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36379, 203])).
% 9.78/7.37 tff(36381,plain,
% 9.78/7.37 ((~![VarCurr: $i] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB81) <=> (v141(constB81) | v26(constB81)))),
% 9.78/7.37 inference(quant_inst,[status(thm)],[])).
% 9.78/7.37 tff(36382,plain,
% 9.78/7.37 (v140(constB81) <=> (v141(constB81) | v26(constB81))),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36381, 212])).
% 9.78/7.37 tff(36383,plain,
% 9.78/7.37 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB81) <=> (~((~v39(constB81)) | (~v9(constB81)))))),
% 9.78/7.37 inference(quant_inst,[status(thm)],[])).
% 9.78/7.37 tff(36384,plain,
% 9.78/7.37 (v141(constB81) <=> (~((~v39(constB81)) | (~v9(constB81))))),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36383, 130])).
% 9.78/7.37 tff(36385,plain,
% 9.78/7.37 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB81, constB82)) | (v13(constB82) <=> v9(constB81)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB81, constB82)) | (v13(constB82) <=> v9(constB81)))),
% 9.78/7.37 inference(rewrite,[status(thm)],[])).
% 9.78/7.37 tff(36386,plain,
% 9.78/7.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB81, constB82)) | (v13(constB82) <=> v9(constB81)))),
% 9.78/7.37 inference(quant_inst,[status(thm)],[])).
% 9.78/7.37 tff(36387,plain,
% 9.78/7.37 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB81, constB82)) | (v13(constB82) <=> v9(constB81))),
% 9.78/7.37 inference(modus_ponens,[status(thm)],[36386, 36385])).
% 9.78/7.37 tff(36388,plain,
% 9.78/7.37 (v13(constB82) <=> v9(constB81)),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36387, 6018, 226])).
% 9.78/7.37 tff(36389,plain,
% 9.78/7.37 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB82) <=> v13(constB82))),
% 9.78/7.37 inference(quant_inst,[status(thm)],[])).
% 9.78/7.37 tff(36390,plain,
% 9.78/7.37 (v6(constB82) <=> v13(constB82)),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36389, 240])).
% 9.78/7.37 tff(36391,plain,
% 9.78/7.37 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB82)) <=> v6(constB82))),
% 9.78/7.37 inference(quant_inst,[status(thm)],[])).
% 9.78/7.37 tff(36392,plain,
% 9.78/7.37 ((~v21(constB82)) <=> v6(constB82)),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36391, 249])).
% 9.78/7.37 tff(36393,plain,
% 9.78/7.37 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB82) <=> (v20(constB82) | v21(constB82)))),
% 9.78/7.37 inference(quant_inst,[status(thm)],[])).
% 9.78/7.37 tff(36394,plain,
% 9.78/7.37 (v19(constB82) <=> (v20(constB82) | v21(constB82))),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36393, 258])).
% 9.78/7.37 tff(36395,plain,
% 9.78/7.37 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB82) <=> (~((~v19(constB82)) | (~v22(constB82)))))),
% 9.78/7.37 inference(quant_inst,[status(thm)],[])).
% 9.78/7.37 tff(36396,plain,
% 9.78/7.37 (v18(constB82) <=> (~((~v19(constB82)) | (~v22(constB82))))),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36395, 270])).
% 9.78/7.37 tff(36397,plain,
% 9.78/7.37 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB82)) <=> v18(constB82))),
% 9.78/7.37 inference(quant_inst,[status(thm)],[])).
% 9.78/7.37 tff(36398,plain,
% 9.78/7.37 ((~v4(constB82)) <=> v18(constB82)),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36397, 279])).
% 9.78/7.37 tff(36399,plain,
% 9.78/7.37 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB82)),
% 9.78/7.37 inference(quant_inst,[status(thm)],[])).
% 9.78/7.37 tff(36400,plain,
% 9.78/7.37 (v4(constB82)),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36399, 288])).
% 9.78/7.37 tff(36401,plain,
% 9.78/7.37 ((~((~v4(constB82)) <=> v18(constB82))) | (~v4(constB82)) | (~v18(constB82))),
% 9.78/7.37 inference(tautology,[status(thm)],[])).
% 9.78/7.37 tff(36402,plain,
% 9.78/7.37 (~v18(constB82)),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36401, 36400, 36398])).
% 9.78/7.37 tff(36403,plain,
% 9.78/7.37 ((~(v18(constB82) <=> (~((~v19(constB82)) | (~v22(constB82)))))) | v18(constB82) | ((~v19(constB82)) | (~v22(constB82)))),
% 9.78/7.37 inference(tautology,[status(thm)],[])).
% 9.78/7.37 tff(36404,plain,
% 9.78/7.37 ((~v19(constB82)) | (~v22(constB82))),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36403, 36402, 36396])).
% 9.78/7.37 tff(36405,plain,
% 9.78/7.37 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB82) <=> (v1(constB82) | v6(constB82)))),
% 9.78/7.37 inference(quant_inst,[status(thm)],[])).
% 9.78/7.37 tff(36406,plain,
% 9.78/7.37 (v22(constB82) <=> (v1(constB82) | v6(constB82))),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36405, 301])).
% 9.78/7.37 tff(36407,plain,
% 9.78/7.37 ((v1(constB82) | v6(constB82)) | (~v1(constB82))),
% 9.78/7.37 inference(tautology,[status(thm)],[])).
% 9.78/7.37 tff(36408,plain,
% 9.78/7.37 (v1(constB82) | v6(constB82)),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36407, 6048])).
% 9.78/7.37 tff(36409,plain,
% 9.78/7.37 ((~(v22(constB82) <=> (v1(constB82) | v6(constB82)))) | v22(constB82) | (~(v1(constB82) | v6(constB82)))),
% 9.78/7.37 inference(tautology,[status(thm)],[])).
% 9.78/7.37 tff(36410,plain,
% 9.78/7.37 ((~(v22(constB82) <=> (v1(constB82) | v6(constB82)))) | v22(constB82)),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36409, 36408])).
% 9.78/7.37 tff(36411,plain,
% 9.78/7.37 (v22(constB82)),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36410, 36406])).
% 9.78/7.37 tff(36412,plain,
% 9.78/7.37 ((~((~v19(constB82)) | (~v22(constB82)))) | (~v19(constB82)) | (~v22(constB82))),
% 9.78/7.37 inference(tautology,[status(thm)],[])).
% 9.78/7.37 tff(36413,plain,
% 9.78/7.37 ((~((~v19(constB82)) | (~v22(constB82)))) | (~v19(constB82))),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36412, 36411])).
% 9.78/7.37 tff(36414,plain,
% 9.78/7.37 (~v19(constB82)),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36413, 36404])).
% 9.78/7.37 tff(36415,plain,
% 9.78/7.37 ((~(v19(constB82) <=> (v20(constB82) | v21(constB82)))) | v19(constB82) | (~(v20(constB82) | v21(constB82)))),
% 9.78/7.37 inference(tautology,[status(thm)],[])).
% 9.78/7.37 tff(36416,plain,
% 9.78/7.37 (~(v20(constB82) | v21(constB82))),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36415, 36414, 36394])).
% 9.78/7.37 tff(36417,plain,
% 9.78/7.37 ((v20(constB82) | v21(constB82)) | (~v21(constB82))),
% 9.78/7.37 inference(tautology,[status(thm)],[])).
% 9.78/7.37 tff(36418,plain,
% 9.78/7.37 (~v21(constB82)),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36417, 36416])).
% 9.78/7.37 tff(36419,plain,
% 9.78/7.37 ((~((~v21(constB82)) <=> v6(constB82))) | v21(constB82) | v6(constB82)),
% 9.78/7.37 inference(tautology,[status(thm)],[])).
% 9.78/7.37 tff(36420,plain,
% 9.78/7.37 (v6(constB82)),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36419, 36418, 36392])).
% 9.78/7.37 tff(36421,plain,
% 9.78/7.37 ((~(v6(constB82) <=> v13(constB82))) | (~v6(constB82)) | v13(constB82)),
% 9.78/7.37 inference(tautology,[status(thm)],[])).
% 9.78/7.37 tff(36422,plain,
% 9.78/7.37 (v13(constB82)),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36421, 36420, 36390])).
% 9.78/7.37 tff(36423,plain,
% 9.78/7.37 ((~(v13(constB82) <=> v9(constB81))) | (~v13(constB82)) | v9(constB81)),
% 9.78/7.37 inference(tautology,[status(thm)],[])).
% 9.78/7.37 tff(36424,plain,
% 9.78/7.37 (v9(constB81)),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36423, 36422, 36388])).
% 9.78/7.37 tff(36425,plain,
% 9.78/7.37 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB81)) <=> v1(constB81))),
% 9.78/7.37 inference(quant_inst,[status(thm)],[])).
% 9.78/7.37 tff(36426,plain,
% 9.78/7.37 ((~v39(constB81)) <=> v1(constB81)),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36425, 139])).
% 9.78/7.37 tff(36427,plain,
% 9.78/7.37 ((~((~v39(constB81)) <=> v1(constB81))) | v39(constB81) | v1(constB81)),
% 9.78/7.37 inference(tautology,[status(thm)],[])).
% 9.78/7.37 tff(36428,plain,
% 9.78/7.37 ((~((~v39(constB81)) <=> v1(constB81))) | v39(constB81)),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36427, 6040])).
% 9.78/7.37 tff(36429,plain,
% 9.78/7.37 (v39(constB81)),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36428, 36426])).
% 9.78/7.37 tff(36430,plain,
% 9.78/7.37 ((~((~v39(constB81)) | (~v9(constB81)))) | (~v39(constB81)) | (~v9(constB81))),
% 9.78/7.37 inference(tautology,[status(thm)],[])).
% 9.78/7.37 tff(36431,plain,
% 9.78/7.37 ((~((~v39(constB81)) | (~v9(constB81)))) | (~v9(constB81))),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36430, 36429])).
% 9.78/7.37 tff(36432,plain,
% 9.78/7.37 (~((~v39(constB81)) | (~v9(constB81)))),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36431, 36424])).
% 9.78/7.37 tff(36433,plain,
% 9.78/7.37 ((~(v141(constB81) <=> (~((~v39(constB81)) | (~v9(constB81)))))) | v141(constB81) | ((~v39(constB81)) | (~v9(constB81)))),
% 9.78/7.37 inference(tautology,[status(thm)],[])).
% 9.78/7.37 tff(36434,plain,
% 9.78/7.37 (v141(constB81)),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36433, 36432, 36384])).
% 9.78/7.37 tff(36435,plain,
% 9.78/7.37 ((v141(constB81) | v26(constB81)) | (~v141(constB81))),
% 9.78/7.37 inference(tautology,[status(thm)],[])).
% 9.78/7.37 tff(36436,plain,
% 9.78/7.37 (v141(constB81) | v26(constB81)),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36435, 36434])).
% 9.78/7.37 tff(36437,plain,
% 9.78/7.37 ((~(v140(constB81) <=> (v141(constB81) | v26(constB81)))) | v140(constB81) | (~(v141(constB81) | v26(constB81)))),
% 9.78/7.37 inference(tautology,[status(thm)],[])).
% 9.78/7.37 tff(36438,plain,
% 9.78/7.37 (v140(constB81)),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36437, 36436, 36382])).
% 9.78/7.37 tff(36439,plain,
% 9.78/7.37 ((~((~v139(constB81)) <=> v140(constB81))) | (~v139(constB81)) | (~v140(constB81))),
% 9.78/7.37 inference(tautology,[status(thm)],[])).
% 9.78/7.37 tff(36440,plain,
% 9.78/7.37 (~v139(constB81)),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36439, 36438, 36380])).
% 9.78/7.37 tff(36441,plain,
% 9.78/7.37 (((~v132(constB81)) | (~v139(constB81))) | v139(constB81)),
% 9.78/7.37 inference(tautology,[status(thm)],[])).
% 9.78/7.37 tff(36442,plain,
% 9.78/7.37 ((~v132(constB81)) | (~v139(constB81))),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36441, 36440])).
% 9.78/7.37 tff(36443,plain,
% 9.78/7.37 ((~(v138(constB81) <=> (~((~v132(constB81)) | (~v139(constB81)))))) | (~v138(constB81)) | (~((~v132(constB81)) | (~v139(constB81))))),
% 9.78/7.37 inference(tautology,[status(thm)],[])).
% 9.78/7.37 tff(36444,plain,
% 9.78/7.37 (~v138(constB81)),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36443, 36442, 36378])).
% 9.78/7.37 tff(36445,plain,
% 9.78/7.37 ((~![VarCurr: $i] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB81) <=> (~((~v143(constB81)) | (~v144(constB81)))))),
% 9.78/7.37 inference(quant_inst,[status(thm)],[])).
% 9.78/7.37 tff(36446,plain,
% 9.78/7.37 (v142(constB81) <=> (~((~v143(constB81)) | (~v144(constB81))))),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36445, 596])).
% 9.78/7.37 tff(36447,plain,
% 9.78/7.37 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB81) <=> (~((~v141(constB81)) | (~v145(constB81)))))),
% 9.78/7.37 inference(quant_inst,[status(thm)],[])).
% 9.78/7.37 tff(36448,plain,
% 9.78/7.37 (v144(constB81) <=> (~((~v141(constB81)) | (~v145(constB81))))),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36447, 608])).
% 9.78/7.37 tff(36449,plain,
% 9.78/7.37 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB81) <=> (~(v84(constB81, bitIndex2) | v84(constB81, bitIndex1) | (~v84(constB81, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB81) <=> (~(v84(constB81, bitIndex2) | v84(constB81, bitIndex1) | (~v84(constB81, bitIndex0))))))),
% 9.78/7.37 inference(rewrite,[status(thm)],[])).
% 9.78/7.37 tff(36450,plain,
% 9.78/7.37 ((v145(constB81) <=> (~(v84(constB81, bitIndex1) | v84(constB81, bitIndex2) | (~v84(constB81, bitIndex0))))) <=> (v145(constB81) <=> (~(v84(constB81, bitIndex2) | v84(constB81, bitIndex1) | (~v84(constB81, bitIndex0)))))),
% 9.78/7.37 inference(rewrite,[status(thm)],[])).
% 9.78/7.37 tff(36451,plain,
% 9.78/7.37 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB81) <=> (~(v84(constB81, bitIndex1) | v84(constB81, bitIndex2) | (~v84(constB81, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB81) <=> (~(v84(constB81, bitIndex2) | v84(constB81, bitIndex1) | (~v84(constB81, bitIndex0))))))),
% 9.78/7.37 inference(monotonicity,[status(thm)],[36450])).
% 9.78/7.37 tff(36452,plain,
% 9.78/7.37 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB81) <=> (~(v84(constB81, bitIndex1) | v84(constB81, bitIndex2) | (~v84(constB81, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB81) <=> (~(v84(constB81, bitIndex2) | v84(constB81, bitIndex1) | (~v84(constB81, bitIndex0))))))),
% 9.78/7.37 inference(transitivity,[status(thm)],[36451, 36449])).
% 9.78/7.37 tff(36453,plain,
% 9.78/7.37 ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB81) <=> (~(v84(constB81, bitIndex1) | v84(constB81, bitIndex2) | (~v84(constB81, bitIndex0)))))),
% 9.78/7.37 inference(quant_inst,[status(thm)],[])).
% 9.78/7.37 tff(36454,plain,
% 9.78/7.37 ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB81) <=> (~(v84(constB81, bitIndex2) | v84(constB81, bitIndex1) | (~v84(constB81, bitIndex0)))))),
% 9.78/7.37 inference(modus_ponens,[status(thm)],[36453, 36452])).
% 9.78/7.37 tff(36455,plain,
% 9.78/7.37 (v145(constB81) <=> (~(v84(constB81, bitIndex2) | v84(constB81, bitIndex1) | (~v84(constB81, bitIndex0))))),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36454, 755])).
% 9.78/7.37 tff(36456,plain,
% 9.78/7.37 ((v84(constB81, bitIndex2) | v84(constB81, bitIndex1) | (~v84(constB81, bitIndex0))) | (~v84(constB81, bitIndex2))),
% 9.78/7.37 inference(tautology,[status(thm)],[])).
% 9.78/7.37 tff(36457,plain,
% 9.78/7.37 (v84(constB81, bitIndex2) | v84(constB81, bitIndex1) | (~v84(constB81, bitIndex0))),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36456, 16420])).
% 9.78/7.37 tff(36458,plain,
% 9.78/7.37 ((~(v145(constB81) <=> (~(v84(constB81, bitIndex2) | v84(constB81, bitIndex1) | (~v84(constB81, bitIndex0)))))) | (~v145(constB81)) | (~(v84(constB81, bitIndex2) | v84(constB81, bitIndex1) | (~v84(constB81, bitIndex0))))),
% 9.78/7.37 inference(tautology,[status(thm)],[])).
% 9.78/7.37 tff(36459,plain,
% 9.78/7.37 (~v145(constB81)),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36458, 36457, 36455])).
% 9.78/7.37 tff(36460,plain,
% 9.78/7.37 (((~v141(constB81)) | (~v145(constB81))) | v145(constB81)),
% 9.78/7.37 inference(tautology,[status(thm)],[])).
% 9.78/7.37 tff(36461,plain,
% 9.78/7.37 ((~v141(constB81)) | (~v145(constB81))),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36460, 36459])).
% 9.78/7.37 tff(36462,plain,
% 9.78/7.37 ((~(v144(constB81) <=> (~((~v141(constB81)) | (~v145(constB81)))))) | (~v144(constB81)) | (~((~v141(constB81)) | (~v145(constB81))))),
% 9.78/7.37 inference(tautology,[status(thm)],[])).
% 9.78/7.37 tff(36463,plain,
% 9.78/7.37 (~v144(constB81)),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36462, 36461, 36448])).
% 9.78/7.37 tff(36464,plain,
% 9.78/7.37 (((~v143(constB81)) | (~v144(constB81))) | v144(constB81)),
% 9.78/7.37 inference(tautology,[status(thm)],[])).
% 9.78/7.37 tff(36465,plain,
% 9.78/7.37 ((~v143(constB81)) | (~v144(constB81))),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36464, 36463])).
% 9.78/7.37 tff(36466,plain,
% 9.78/7.37 ((~(v142(constB81) <=> (~((~v143(constB81)) | (~v144(constB81)))))) | (~v142(constB81)) | (~((~v143(constB81)) | (~v144(constB81))))),
% 9.78/7.37 inference(tautology,[status(thm)],[])).
% 9.78/7.37 tff(36467,plain,
% 9.78/7.37 (~v142(constB81)),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36466, 36465, 36446])).
% 9.78/7.37 tff(36468,plain,
% 9.78/7.37 ((~(v138(constB81) | v142(constB81))) | v138(constB81) | v142(constB81)),
% 9.78/7.37 inference(tautology,[status(thm)],[])).
% 9.78/7.37 tff(36469,plain,
% 9.78/7.37 (~(v138(constB81) | v142(constB81))),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36468, 36467, 36444])).
% 9.78/7.37 tff(36470,plain,
% 9.78/7.37 ((~(v135(constB81) <=> (v138(constB81) | v142(constB81)))) | (~v135(constB81)) | (v138(constB81) | v142(constB81))),
% 9.78/7.37 inference(tautology,[status(thm)],[])).
% 9.78/7.37 tff(36471,plain,
% 9.78/7.37 (~v135(constB81)),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36470, 36469, 36371])).
% 9.78/7.37 tff(36472,plain,
% 9.78/7.37 ((~(v137(constB82) <=> v135(constB81))) | (~v137(constB82)) | v135(constB81)),
% 9.78/7.37 inference(tautology,[status(thm)],[])).
% 9.78/7.37 tff(36473,plain,
% 9.78/7.37 (~v137(constB82)),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36472, 36471, 36369])).
% 9.78/7.37 tff(36474,plain,
% 9.78/7.37 ((~(v132(constB82) <=> v137(constB82))) | (~v132(constB82)) | v137(constB82)),
% 9.78/7.37 inference(tautology,[status(thm)],[])).
% 9.78/7.37 tff(36475,plain,
% 9.78/7.37 (~v132(constB82)),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36474, 36473, 36365])).
% 9.78/7.37 tff(36476,plain,
% 9.78/7.37 (((~v132(constB82)) | (~v139(constB82))) | v132(constB82)),
% 9.78/7.37 inference(tautology,[status(thm)],[])).
% 9.78/7.37 tff(36477,plain,
% 9.78/7.37 ((~v132(constB82)) | (~v139(constB82))),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36476, 36475])).
% 9.78/7.37 tff(36478,plain,
% 9.78/7.37 ((~(v138(constB82) <=> (~((~v132(constB82)) | (~v139(constB82)))))) | (~v138(constB82)) | (~((~v132(constB82)) | (~v139(constB82))))),
% 9.78/7.37 inference(tautology,[status(thm)],[])).
% 9.78/7.37 tff(36479,plain,
% 9.78/7.37 (~v138(constB82)),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36478, 36477, 36363])).
% 9.78/7.37 tff(36480,plain,
% 9.78/7.37 ((~(v138(constB82) | v142(constB82))) | v138(constB82) | v142(constB82)),
% 9.78/7.37 inference(tautology,[status(thm)],[])).
% 9.78/7.37 tff(36481,plain,
% 9.78/7.37 (~(v138(constB82) | v142(constB82))),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36480, 36479, 36356])).
% 9.78/7.37 tff(36482,plain,
% 9.78/7.37 ((~(v135(constB82) <=> (v138(constB82) | v142(constB82)))) | (~v135(constB82)) | (v138(constB82) | v142(constB82))),
% 9.78/7.37 inference(tautology,[status(thm)],[])).
% 9.78/7.37 tff(36483,plain,
% 9.78/7.37 (~v135(constB82)),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36482, 36481, 36331])).
% 9.78/7.37 tff(36484,plain,
% 9.78/7.37 ((~(v137(constB83) <=> v135(constB82))) | (~v137(constB83)) | v135(constB82)),
% 9.78/7.37 inference(tautology,[status(thm)],[])).
% 9.78/7.37 tff(36485,plain,
% 9.78/7.37 (~v137(constB83)),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36484, 36483, 36329])).
% 9.78/7.37 tff(36486,plain,
% 9.78/7.37 ((~(v132(constB83) <=> v137(constB83))) | (~v132(constB83)) | v137(constB83)),
% 9.78/7.37 inference(tautology,[status(thm)],[])).
% 9.78/7.37 tff(36487,plain,
% 9.78/7.37 (~v132(constB83)),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36486, 36485, 36325])).
% 9.78/7.37 tff(36488,plain,
% 9.78/7.37 (((~v132(constB83)) | (~v154(constB83))) | v132(constB83)),
% 9.78/7.37 inference(tautology,[status(thm)],[])).
% 9.78/7.37 tff(36489,plain,
% 9.78/7.37 ((~v132(constB83)) | (~v154(constB83))),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36488, 36487])).
% 9.78/7.37 tff(36490,plain,
% 9.78/7.37 ((~(v153(constB83) <=> (~((~v132(constB83)) | (~v154(constB83)))))) | (~v153(constB83)) | (~((~v132(constB83)) | (~v154(constB83))))),
% 9.78/7.37 inference(tautology,[status(thm)],[])).
% 9.78/7.37 tff(36491,plain,
% 9.78/7.37 (~v153(constB83)),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36490, 36489, 36323])).
% 9.78/7.37 tff(36492,plain,
% 9.78/7.37 ((~(v153(constB83) | v155(constB83))) | v153(constB83) | v155(constB83)),
% 9.78/7.37 inference(tautology,[status(thm)],[])).
% 9.78/7.37 tff(36493,plain,
% 9.78/7.37 (~(v153(constB83) | v155(constB83))),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36492, 36491, 36316])).
% 9.78/7.37 tff(36494,plain,
% 9.78/7.37 ((~(v150(constB83) <=> (v153(constB83) | v155(constB83)))) | (~v150(constB83)) | (v153(constB83) | v155(constB83))),
% 9.78/7.37 inference(tautology,[status(thm)],[])).
% 9.78/7.37 tff(36495,plain,
% 9.78/7.37 (~v150(constB83)),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36494, 36493, 36243])).
% 9.78/7.37 tff(36496,plain,
% 9.78/7.37 ((~(v152(constB84) <=> v150(constB83))) | (~v152(constB84)) | v150(constB83)),
% 9.78/7.37 inference(tautology,[status(thm)],[])).
% 9.78/7.37 tff(36497,plain,
% 9.78/7.37 (~v152(constB84)),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36496, 36495, 36241])).
% 9.78/7.37 tff(36498,plain,
% 9.78/7.37 ((~(v130(constB84) <=> v152(constB84))) | (~v130(constB84)) | v152(constB84)),
% 9.78/7.37 inference(tautology,[status(thm)],[])).
% 9.78/7.37 tff(36499,plain,
% 9.78/7.37 (~v130(constB84)),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36498, 36497, 36237])).
% 9.78/7.37 tff(36500,plain,
% 9.78/7.37 (((~v130(constB84)) | (~v139(constB84))) | v130(constB84)),
% 9.78/7.37 inference(tautology,[status(thm)],[])).
% 9.78/7.37 tff(36501,plain,
% 9.78/7.37 ((~v130(constB84)) | (~v139(constB84))),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36500, 36499])).
% 9.78/7.37 tff(36502,plain,
% 9.78/7.37 ((~(v155(constB84) <=> (~((~v130(constB84)) | (~v139(constB84)))))) | (~v155(constB84)) | (~((~v130(constB84)) | (~v139(constB84))))),
% 9.78/7.37 inference(tautology,[status(thm)],[])).
% 9.78/7.37 tff(36503,plain,
% 9.78/7.37 (~v155(constB84)),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36502, 36501, 36235])).
% 9.78/7.37 tff(36504,plain,
% 9.78/7.37 ((~(v153(constB84) | v155(constB84))) | v153(constB84) | v155(constB84)),
% 9.78/7.37 inference(tautology,[status(thm)],[])).
% 9.78/7.37 tff(36505,plain,
% 9.78/7.37 (~(v153(constB84) | v155(constB84))),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36504, 36503, 36228])).
% 9.78/7.37 tff(36506,plain,
% 9.78/7.37 ((~(v150(constB84) <=> (v153(constB84) | v155(constB84)))) | (~v150(constB84)) | (v153(constB84) | v155(constB84))),
% 9.78/7.37 inference(tautology,[status(thm)],[])).
% 9.78/7.37 tff(36507,plain,
% 9.78/7.37 (~v150(constB84)),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36506, 36505, 36193])).
% 9.78/7.37 tff(36508,plain,
% 9.78/7.37 ((~(v152(constB85) <=> v150(constB84))) | (~v152(constB85)) | v150(constB84)),
% 9.78/7.37 inference(tautology,[status(thm)],[])).
% 9.78/7.37 tff(36509,plain,
% 9.78/7.37 (~v152(constB85)),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36508, 36507, 36191])).
% 9.78/7.37 tff(36510,plain,
% 9.78/7.37 ((~(v130(constB85) <=> v152(constB85))) | (~v130(constB85)) | v152(constB85)),
% 9.78/7.37 inference(tautology,[status(thm)],[])).
% 9.78/7.37 tff(36511,plain,
% 9.78/7.37 (~v130(constB85)),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36510, 36509, 36187])).
% 9.78/7.37 tff(36512,plain,
% 9.78/7.37 (((~v130(constB85)) | (~v154(constB85))) | v130(constB85)),
% 9.78/7.37 inference(tautology,[status(thm)],[])).
% 9.78/7.37 tff(36513,plain,
% 9.78/7.37 ((~v130(constB85)) | (~v154(constB85))),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36512, 36511])).
% 9.78/7.37 tff(36514,plain,
% 9.78/7.37 ((~(v164(constB85) <=> (~((~v130(constB85)) | (~v154(constB85)))))) | (~v164(constB85)) | (~((~v130(constB85)) | (~v154(constB85))))),
% 9.78/7.37 inference(tautology,[status(thm)],[])).
% 9.78/7.37 tff(36515,plain,
% 9.78/7.37 (~v164(constB85)),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36514, 36513, 36185])).
% 9.78/7.37 tff(36516,plain,
% 9.78/7.37 ((~(v163(constB85) | v164(constB85))) | v163(constB85) | v164(constB85)),
% 9.78/7.37 inference(tautology,[status(thm)],[])).
% 9.78/7.37 tff(36517,plain,
% 9.78/7.37 (~(v163(constB85) | v164(constB85))),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36516, 36515, 36178])).
% 9.78/7.37 tff(36518,plain,
% 9.78/7.37 ((~(v160(constB85) <=> (v163(constB85) | v164(constB85)))) | (~v160(constB85)) | (v163(constB85) | v164(constB85))),
% 9.78/7.37 inference(tautology,[status(thm)],[])).
% 9.78/7.37 tff(36519,plain,
% 9.78/7.37 (~v160(constB85)),
% 9.78/7.37 inference(unit_resolution,[status(thm)],[36518, 36517, 36167])).
% 9.78/7.37 tff(36520,plain,
% 9.78/7.37 ((~(v162(constB86) <=> v160(constB85))) | (~v162(constB86)) | v160(constB85)),
% 9.78/7.38 inference(tautology,[status(thm)],[])).
% 9.78/7.38 tff(36521,plain,
% 9.78/7.38 (~v162(constB86)),
% 9.78/7.38 inference(unit_resolution,[status(thm)],[36520, 36519, 36165])).
% 9.78/7.38 tff(36522,plain,
% 9.78/7.38 ((~(v128(constB86) <=> v162(constB86))) | (~v128(constB86)) | v162(constB86)),
% 9.78/7.38 inference(tautology,[status(thm)],[])).
% 9.78/7.38 tff(36523,plain,
% 9.78/7.38 (~v128(constB86)),
% 9.78/7.38 inference(unit_resolution,[status(thm)],[36522, 36521, 36161])).
% 9.78/7.38 tff(36524,plain,
% 9.78/7.38 (((~v128(constB86)) | (~v139(constB86))) | v128(constB86)),
% 9.78/7.38 inference(tautology,[status(thm)],[])).
% 9.78/7.38 tff(36525,plain,
% 9.78/7.38 ((~v128(constB86)) | (~v139(constB86))),
% 9.78/7.38 inference(unit_resolution,[status(thm)],[36524, 36523])).
% 9.78/7.38 tff(36526,plain,
% 9.78/7.38 ((~(v163(constB86) <=> (~((~v128(constB86)) | (~v139(constB86)))))) | (~v163(constB86)) | (~((~v128(constB86)) | (~v139(constB86))))),
% 9.78/7.38 inference(tautology,[status(thm)],[])).
% 9.78/7.38 tff(36527,plain,
% 9.78/7.38 (~v163(constB86)),
% 9.78/7.38 inference(unit_resolution,[status(thm)],[36526, 36525, 36159])).
% 9.78/7.38 tff(36528,plain,
% 9.78/7.38 ((~(v163(constB86) | v164(constB86))) | v163(constB86) | v164(constB86)),
% 9.78/7.38 inference(tautology,[status(thm)],[])).
% 9.78/7.38 tff(36529,plain,
% 9.78/7.38 (~(v163(constB86) | v164(constB86))),
% 9.78/7.38 inference(unit_resolution,[status(thm)],[36528, 36527, 36152])).
% 9.78/7.38 tff(36530,plain,
% 9.78/7.38 ((~(v160(constB86) <=> (v163(constB86) | v164(constB86)))) | (~v160(constB86)) | (v163(constB86) | v164(constB86))),
% 9.78/7.38 inference(tautology,[status(thm)],[])).
% 9.78/7.38 tff(36531,plain,
% 9.78/7.38 (~v160(constB86)),
% 9.78/7.38 inference(unit_resolution,[status(thm)],[36530, 36529, 36129])).
% 9.78/7.38 tff(36532,plain,
% 9.78/7.38 ((~(v162(constB87) <=> v160(constB86))) | (~v162(constB87)) | v160(constB86)),
% 9.78/7.38 inference(tautology,[status(thm)],[])).
% 9.78/7.38 tff(36533,plain,
% 9.78/7.38 (~v162(constB87)),
% 9.78/7.38 inference(unit_resolution,[status(thm)],[36532, 36531, 36127])).
% 9.78/7.38 tff(36534,plain,
% 9.78/7.38 ($false),
% 9.78/7.38 inference(unit_resolution,[status(thm)],[36533, 36123])).
% 9.78/7.38 tff(36535,plain,(~(constB87 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.78/7.38 tff(36536,assumption,(constB137 = VarCurr!0), introduced(assumption)).
% 9.78/7.38 tff(36537,plain,
% 9.78/7.38 (v162(constB137) <=> v162(VarCurr!0)),
% 9.78/7.38 inference(monotonicity,[status(thm)],[36536])).
% 9.78/7.38 tff(36538,plain,
% 9.78/7.38 (v162(VarCurr!0) <=> v162(constB137)),
% 9.78/7.38 inference(symmetry,[status(thm)],[36537])).
% 9.78/7.38 tff(36539,plain,
% 9.78/7.38 (v162(constB137)),
% 9.78/7.38 inference(modus_ponens,[status(thm)],[59, 36538])).
% 9.78/7.38 tff(36540,plain,
% 9.78/7.38 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB136, constB137)) | (v162(constB137) <=> v160(constB136)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB136, constB137)) | (v162(constB137) <=> v160(constB136)))),
% 9.78/7.38 inference(rewrite,[status(thm)],[])).
% 9.78/7.38 tff(36541,plain,
% 9.78/7.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB136, constB137)) | (v162(constB137) <=> v160(constB136)))),
% 9.78/7.38 inference(quant_inst,[status(thm)],[])).
% 9.78/7.38 tff(36542,plain,
% 9.78/7.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB136, constB137)) | (v162(constB137) <=> v160(constB136))),
% 9.78/7.38 inference(modus_ponens,[status(thm)],[36541, 36540])).
% 9.78/7.38 tff(36543,plain,
% 9.78/7.38 (v162(constB137) <=> v160(constB136)),
% 9.78/7.38 inference(unit_resolution,[status(thm)],[36542, 3525, 70])).
% 9.78/7.38 tff(36544,plain,
% 9.78/7.38 ((~![VarCurr: $i] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB136) <=> (v163(constB136) | v164(constB136)))),
% 9.78/7.38 inference(quant_inst,[status(thm)],[])).
% 9.78/7.38 tff(36545,plain,
% 9.78/7.38 (v160(constB136) <=> (v163(constB136) | v164(constB136))),
% 9.78/7.38 inference(unit_resolution,[status(thm)],[36544, 84])).
% 9.78/7.38 tff(36546,plain,
% 9.78/7.38 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB136) <=> (~((~v130(constB136)) | (~v154(constB136)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB136) <=> (~((~v130(constB136)) | (~v154(constB136))))))),
% 9.78/7.38 inference(rewrite,[status(thm)],[])).
% 9.78/7.38 tff(36547,plain,
% 9.78/7.38 ((v164(constB136) <=> (~((~v154(constB136)) | (~v130(constB136))))) <=> (v164(constB136) <=> (~((~v130(constB136)) | (~v154(constB136)))))),
% 9.78/7.38 inference(rewrite,[status(thm)],[])).
% 9.78/7.38 tff(36548,plain,
% 9.78/7.38 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB136) <=> (~((~v154(constB136)) | (~v130(constB136)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB136) <=> (~((~v130(constB136)) | (~v154(constB136))))))),
% 9.78/7.38 inference(monotonicity,[status(thm)],[36547])).
% 9.78/7.38 tff(36549,plain,
% 9.78/7.38 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB136) <=> (~((~v154(constB136)) | (~v130(constB136)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB136) <=> (~((~v130(constB136)) | (~v154(constB136))))))),
% 9.78/7.38 inference(transitivity,[status(thm)],[36548, 36546])).
% 9.78/7.38 tff(36550,plain,
% 9.78/7.38 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB136) <=> (~((~v154(constB136)) | (~v130(constB136)))))),
% 9.78/7.38 inference(quant_inst,[status(thm)],[])).
% 9.78/7.38 tff(36551,plain,
% 9.78/7.38 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB136) <=> (~((~v130(constB136)) | (~v154(constB136)))))),
% 9.78/7.38 inference(modus_ponens,[status(thm)],[36550, 36549])).
% 9.78/7.38 tff(36552,plain,
% 9.78/7.38 (v164(constB136) <=> (~((~v130(constB136)) | (~v154(constB136))))),
% 9.78/7.38 inference(unit_resolution,[status(thm)],[36551, 96])).
% 9.78/7.38 tff(36553,plain,
% 9.78/7.38 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB136) <=> (~((~v141(constB136)) | (~v143(constB136)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB136) <=> (~((~v141(constB136)) | (~v143(constB136))))))),
% 9.78/7.38 inference(rewrite,[status(thm)],[])).
% 9.78/7.38 tff(36554,plain,
% 9.78/7.38 ((v154(constB136) <=> (~((~v143(constB136)) | (~v141(constB136))))) <=> (v154(constB136) <=> (~((~v141(constB136)) | (~v143(constB136)))))),
% 9.78/7.38 inference(rewrite,[status(thm)],[])).
% 9.78/7.38 tff(36555,plain,
% 9.78/7.38 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB136) <=> (~((~v143(constB136)) | (~v141(constB136)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB136) <=> (~((~v141(constB136)) | (~v143(constB136))))))),
% 9.78/7.38 inference(monotonicity,[status(thm)],[36554])).
% 9.78/7.38 tff(36556,plain,
% 9.78/7.38 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB136) <=> (~((~v143(constB136)) | (~v141(constB136)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB136) <=> (~((~v141(constB136)) | (~v143(constB136))))))),
% 9.78/7.38 inference(transitivity,[status(thm)],[36555, 36553])).
% 9.78/7.38 tff(36557,plain,
% 9.78/7.38 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB136) <=> (~((~v143(constB136)) | (~v141(constB136)))))),
% 9.78/7.38 inference(quant_inst,[status(thm)],[])).
% 9.78/7.38 tff(36558,plain,
% 9.78/7.38 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB136) <=> (~((~v141(constB136)) | (~v143(constB136)))))),
% 9.78/7.38 inference(modus_ponens,[status(thm)],[36557, 36556])).
% 9.78/7.38 tff(36559,plain,
% 9.78/7.38 (v154(constB136) <=> (~((~v141(constB136)) | (~v143(constB136))))),
% 9.78/7.38 inference(unit_resolution,[status(thm)],[36558, 113])).
% 9.78/7.38 tff(36560,plain,
% 9.78/7.38 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB136) <=> (~((~v39(constB136)) | (~v9(constB136)))))),
% 9.78/7.38 inference(quant_inst,[status(thm)],[])).
% 9.78/7.38 tff(36561,plain,
% 9.78/7.38 (v141(constB136) <=> (~((~v39(constB136)) | (~v9(constB136))))),
% 9.78/7.38 inference(unit_resolution,[status(thm)],[36560, 130])).
% 9.78/7.38 tff(36562,plain,
% 9.78/7.38 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB136)) <=> v1(constB136))),
% 9.78/7.38 inference(quant_inst,[status(thm)],[])).
% 9.78/7.38 tff(36563,plain,
% 9.78/7.38 ((~v39(constB136)) <=> v1(constB136)),
% 9.78/7.38 inference(unit_resolution,[status(thm)],[36562, 139])).
% 9.78/7.38 tff(36564,plain,
% 9.78/7.38 ((~((~v39(constB136)) <=> v1(constB136))) | (~v39(constB136)) | (~v1(constB136))),
% 9.78/7.38 inference(tautology,[status(thm)],[])).
% 9.78/7.38 tff(36565,plain,
% 9.78/7.38 ((~((~v39(constB136)) <=> v1(constB136))) | (~v39(constB136))),
% 9.78/7.38 inference(unit_resolution,[status(thm)],[36564, 3587])).
% 9.78/7.38 tff(36566,plain,
% 9.78/7.38 (~v39(constB136)),
% 9.78/7.38 inference(unit_resolution,[status(thm)],[36565, 36563])).
% 9.78/7.38 tff(36567,plain,
% 9.78/7.38 (((~v39(constB136)) | (~v9(constB136))) | v39(constB136)),
% 9.78/7.38 inference(tautology,[status(thm)],[])).
% 9.78/7.38 tff(36568,plain,
% 9.78/7.38 ((~v39(constB136)) | (~v9(constB136))),
% 9.78/7.38 inference(unit_resolution,[status(thm)],[36567, 36566])).
% 9.78/7.38 tff(36569,plain,
% 9.78/7.38 ((~(v141(constB136) <=> (~((~v39(constB136)) | (~v9(constB136)))))) | (~v141(constB136)) | (~((~v39(constB136)) | (~v9(constB136))))),
% 9.78/7.38 inference(tautology,[status(thm)],[])).
% 9.78/7.38 tff(36570,plain,
% 9.78/7.38 ((~(v141(constB136) <=> (~((~v39(constB136)) | (~v9(constB136)))))) | (~v141(constB136))),
% 9.78/7.38 inference(unit_resolution,[status(thm)],[36569, 36568])).
% 9.78/7.38 tff(36571,plain,
% 9.78/7.38 (~v141(constB136)),
% 9.78/7.38 inference(unit_resolution,[status(thm)],[36570, 36561])).
% 9.78/7.38 tff(36572,plain,
% 9.78/7.38 (((~v141(constB136)) | (~v143(constB136))) | v141(constB136)),
% 9.78/7.38 inference(tautology,[status(thm)],[])).
% 9.78/7.38 tff(36573,plain,
% 9.78/7.38 ((~v141(constB136)) | (~v143(constB136))),
% 9.78/7.38 inference(unit_resolution,[status(thm)],[36572, 36571])).
% 9.78/7.38 tff(36574,plain,
% 9.78/7.38 ((~(v154(constB136) <=> (~((~v141(constB136)) | (~v143(constB136)))))) | (~v154(constB136)) | (~((~v141(constB136)) | (~v143(constB136))))),
% 9.78/7.38 inference(tautology,[status(thm)],[])).
% 9.78/7.38 tff(36575,plain,
% 9.78/7.38 ((~(v154(constB136) <=> (~((~v141(constB136)) | (~v143(constB136)))))) | (~v154(constB136))),
% 9.78/7.38 inference(unit_resolution,[status(thm)],[36574, 36573])).
% 9.78/7.38 tff(36576,plain,
% 9.78/7.38 (~v154(constB136)),
% 9.78/7.38 inference(unit_resolution,[status(thm)],[36575, 36559])).
% 9.78/7.38 tff(36577,plain,
% 9.78/7.38 (((~v130(constB136)) | (~v154(constB136))) | v154(constB136)),
% 9.78/7.38 inference(tautology,[status(thm)],[])).
% 9.78/7.38 tff(36578,plain,
% 9.78/7.38 ((~v130(constB136)) | (~v154(constB136))),
% 9.78/7.38 inference(unit_resolution,[status(thm)],[36577, 36576])).
% 9.78/7.38 tff(36579,plain,
% 9.78/7.38 ((~(v164(constB136) <=> (~((~v130(constB136)) | (~v154(constB136)))))) | (~v164(constB136)) | (~((~v130(constB136)) | (~v154(constB136))))),
% 9.78/7.38 inference(tautology,[status(thm)],[])).
% 9.78/7.38 tff(36580,plain,
% 9.78/7.38 (~v164(constB136)),
% 9.78/7.38 inference(unit_resolution,[status(thm)],[36579, 36578, 36552])).
% 9.78/7.38 tff(36581,plain,
% 9.78/7.38 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB136) <=> (~((~v128(constB136)) | (~v139(constB136)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB136) <=> (~((~v128(constB136)) | (~v139(constB136))))))),
% 9.78/7.38 inference(rewrite,[status(thm)],[])).
% 9.78/7.38 tff(36582,plain,
% 9.78/7.38 ((v163(constB136) <=> (~((~v139(constB136)) | (~v128(constB136))))) <=> (v163(constB136) <=> (~((~v128(constB136)) | (~v139(constB136)))))),
% 9.78/7.38 inference(rewrite,[status(thm)],[])).
% 9.78/7.38 tff(36583,plain,
% 9.78/7.38 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB136) <=> (~((~v139(constB136)) | (~v128(constB136)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB136) <=> (~((~v128(constB136)) | (~v139(constB136))))))),
% 9.78/7.38 inference(monotonicity,[status(thm)],[36582])).
% 9.78/7.38 tff(36584,plain,
% 9.78/7.38 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB136) <=> (~((~v139(constB136)) | (~v128(constB136)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB136) <=> (~((~v128(constB136)) | (~v139(constB136))))))),
% 9.78/7.38 inference(transitivity,[status(thm)],[36583, 36581])).
% 9.78/7.38 tff(36585,plain,
% 9.78/7.38 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB136) <=> (~((~v139(constB136)) | (~v128(constB136)))))),
% 9.87/7.38 inference(quant_inst,[status(thm)],[])).
% 9.87/7.38 tff(36586,plain,
% 9.87/7.38 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB136) <=> (~((~v128(constB136)) | (~v139(constB136)))))),
% 9.87/7.38 inference(modus_ponens,[status(thm)],[36585, 36584])).
% 9.87/7.38 tff(36587,plain,
% 9.87/7.38 (v163(constB136) <=> (~((~v128(constB136)) | (~v139(constB136))))),
% 9.87/7.38 inference(unit_resolution,[status(thm)],[36586, 171])).
% 9.87/7.38 tff(36588,plain,
% 9.87/7.38 ((~![VarNext: $i] : (v128(VarNext) <=> v162(VarNext))) | (v128(constB136) <=> v162(constB136))),
% 9.87/7.38 inference(quant_inst,[status(thm)],[])).
% 9.87/7.38 tff(36589,plain,
% 9.87/7.38 (v128(constB136) <=> v162(constB136)),
% 9.87/7.38 inference(unit_resolution,[status(thm)],[36588, 13])).
% 9.87/7.38 tff(36590,plain,
% 9.87/7.38 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB135, constB136)) | (v162(constB136) <=> v160(constB135)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB135, constB136)) | (v162(constB136) <=> v160(constB135)))),
% 9.87/7.38 inference(rewrite,[status(thm)],[])).
% 9.87/7.38 tff(36591,plain,
% 9.87/7.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB135, constB136)) | (v162(constB136) <=> v160(constB135)))),
% 9.87/7.38 inference(quant_inst,[status(thm)],[])).
% 9.87/7.38 tff(36592,plain,
% 9.87/7.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB135, constB136)) | (v162(constB136) <=> v160(constB135))),
% 9.87/7.38 inference(modus_ponens,[status(thm)],[36591, 36590])).
% 9.87/7.38 tff(36593,plain,
% 9.87/7.38 (v162(constB136) <=> v160(constB135)),
% 9.87/7.38 inference(unit_resolution,[status(thm)],[36592, 3557, 70])).
% 9.87/7.38 tff(36594,plain,
% 9.87/7.38 ((~![VarCurr: $i] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB135) <=> (v163(constB135) | v164(constB135)))),
% 9.87/7.38 inference(quant_inst,[status(thm)],[])).
% 9.87/7.38 tff(36595,plain,
% 9.87/7.38 (v160(constB135) <=> (v163(constB135) | v164(constB135))),
% 9.87/7.38 inference(unit_resolution,[status(thm)],[36594, 84])).
% 9.87/7.38 tff(36596,plain,
% 9.87/7.38 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB135) <=> (~((~v128(constB135)) | (~v139(constB135)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB135) <=> (~((~v128(constB135)) | (~v139(constB135))))))),
% 9.87/7.38 inference(rewrite,[status(thm)],[])).
% 9.87/7.38 tff(36597,plain,
% 9.87/7.38 ((v163(constB135) <=> (~((~v139(constB135)) | (~v128(constB135))))) <=> (v163(constB135) <=> (~((~v128(constB135)) | (~v139(constB135)))))),
% 9.87/7.38 inference(rewrite,[status(thm)],[])).
% 9.87/7.38 tff(36598,plain,
% 9.87/7.38 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB135) <=> (~((~v139(constB135)) | (~v128(constB135)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB135) <=> (~((~v128(constB135)) | (~v139(constB135))))))),
% 9.87/7.38 inference(monotonicity,[status(thm)],[36597])).
% 9.87/7.38 tff(36599,plain,
% 9.87/7.38 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB135) <=> (~((~v139(constB135)) | (~v128(constB135)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB135) <=> (~((~v128(constB135)) | (~v139(constB135))))))),
% 9.87/7.38 inference(transitivity,[status(thm)],[36598, 36596])).
% 9.87/7.38 tff(36600,plain,
% 9.87/7.38 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB135) <=> (~((~v139(constB135)) | (~v128(constB135)))))),
% 9.87/7.38 inference(quant_inst,[status(thm)],[])).
% 9.87/7.38 tff(36601,plain,
% 9.87/7.38 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB135) <=> (~((~v128(constB135)) | (~v139(constB135)))))),
% 9.87/7.38 inference(modus_ponens,[status(thm)],[36600, 36599])).
% 9.87/7.38 tff(36602,plain,
% 9.87/7.38 (v163(constB135) <=> (~((~v128(constB135)) | (~v139(constB135))))),
% 9.87/7.38 inference(unit_resolution,[status(thm)],[36601, 171])).
% 9.87/7.38 tff(36603,plain,
% 9.87/7.38 ((~![VarCurr: $i] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB135)) <=> v140(constB135))),
% 9.87/7.38 inference(quant_inst,[status(thm)],[])).
% 9.87/7.38 tff(36604,plain,
% 9.87/7.38 ((~v139(constB135)) <=> v140(constB135)),
% 9.87/7.38 inference(unit_resolution,[status(thm)],[36603, 203])).
% 9.87/7.38 tff(36605,plain,
% 9.87/7.38 ((~![VarCurr: $i] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB135) <=> (v141(constB135) | v26(constB135)))),
% 9.87/7.38 inference(quant_inst,[status(thm)],[])).
% 9.87/7.38 tff(36606,plain,
% 9.87/7.38 (v140(constB135) <=> (v141(constB135) | v26(constB135))),
% 9.87/7.38 inference(unit_resolution,[status(thm)],[36605, 212])).
% 9.87/7.38 tff(36607,plain,
% 9.87/7.38 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB135) <=> (~((~v39(constB135)) | (~v9(constB135)))))),
% 9.87/7.38 inference(quant_inst,[status(thm)],[])).
% 9.87/7.38 tff(36608,plain,
% 9.87/7.38 (v141(constB135) <=> (~((~v39(constB135)) | (~v9(constB135))))),
% 9.87/7.38 inference(unit_resolution,[status(thm)],[36607, 130])).
% 9.87/7.38 tff(36609,plain,
% 9.87/7.38 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB135, constB136)) | (v13(constB136) <=> v9(constB135)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB135, constB136)) | (v13(constB136) <=> v9(constB135)))),
% 9.87/7.38 inference(rewrite,[status(thm)],[])).
% 9.87/7.38 tff(36610,plain,
% 9.87/7.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB135, constB136)) | (v13(constB136) <=> v9(constB135)))),
% 9.87/7.38 inference(quant_inst,[status(thm)],[])).
% 9.87/7.38 tff(36611,plain,
% 9.87/7.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB135, constB136)) | (v13(constB136) <=> v9(constB135))),
% 9.87/7.38 inference(modus_ponens,[status(thm)],[36610, 36609])).
% 9.87/7.38 tff(36612,plain,
% 9.87/7.38 (v13(constB136) <=> v9(constB135)),
% 9.87/7.38 inference(unit_resolution,[status(thm)],[36611, 3557, 226])).
% 9.87/7.38 tff(36613,plain,
% 9.87/7.38 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB136) <=> v13(constB136))),
% 9.87/7.38 inference(quant_inst,[status(thm)],[])).
% 9.87/7.38 tff(36614,plain,
% 9.87/7.38 (v6(constB136) <=> v13(constB136)),
% 9.87/7.38 inference(unit_resolution,[status(thm)],[36613, 240])).
% 9.87/7.38 tff(36615,plain,
% 9.87/7.38 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB136)) <=> v6(constB136))),
% 9.87/7.38 inference(quant_inst,[status(thm)],[])).
% 9.87/7.38 tff(36616,plain,
% 9.87/7.38 ((~v21(constB136)) <=> v6(constB136)),
% 9.87/7.38 inference(unit_resolution,[status(thm)],[36615, 249])).
% 9.87/7.38 tff(36617,plain,
% 9.87/7.38 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB136) <=> (v20(constB136) | v21(constB136)))),
% 9.87/7.38 inference(quant_inst,[status(thm)],[])).
% 9.87/7.38 tff(36618,plain,
% 9.87/7.38 (v19(constB136) <=> (v20(constB136) | v21(constB136))),
% 9.87/7.38 inference(unit_resolution,[status(thm)],[36617, 258])).
% 9.87/7.38 tff(36619,plain,
% 9.87/7.38 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB136) <=> (~((~v19(constB136)) | (~v22(constB136)))))),
% 9.87/7.38 inference(quant_inst,[status(thm)],[])).
% 9.87/7.38 tff(36620,plain,
% 9.87/7.38 (v18(constB136) <=> (~((~v19(constB136)) | (~v22(constB136))))),
% 9.87/7.38 inference(unit_resolution,[status(thm)],[36619, 270])).
% 9.87/7.38 tff(36621,plain,
% 9.87/7.38 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB136)) <=> v18(constB136))),
% 9.87/7.38 inference(quant_inst,[status(thm)],[])).
% 9.87/7.38 tff(36622,plain,
% 9.87/7.38 ((~v4(constB136)) <=> v18(constB136)),
% 9.87/7.38 inference(unit_resolution,[status(thm)],[36621, 279])).
% 9.87/7.38 tff(36623,plain,
% 9.87/7.38 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB136)),
% 9.87/7.38 inference(quant_inst,[status(thm)],[])).
% 9.87/7.38 tff(36624,plain,
% 9.87/7.38 (v4(constB136)),
% 9.87/7.38 inference(unit_resolution,[status(thm)],[36623, 288])).
% 9.87/7.38 tff(36625,plain,
% 9.87/7.38 ((~((~v4(constB136)) <=> v18(constB136))) | (~v4(constB136)) | (~v18(constB136))),
% 9.87/7.38 inference(tautology,[status(thm)],[])).
% 9.87/7.38 tff(36626,plain,
% 9.87/7.38 (~v18(constB136)),
% 9.87/7.38 inference(unit_resolution,[status(thm)],[36625, 36624, 36622])).
% 9.87/7.38 tff(36627,plain,
% 9.87/7.38 ((~(v18(constB136) <=> (~((~v19(constB136)) | (~v22(constB136)))))) | v18(constB136) | ((~v19(constB136)) | (~v22(constB136)))),
% 9.87/7.38 inference(tautology,[status(thm)],[])).
% 9.87/7.38 tff(36628,plain,
% 9.87/7.38 ((~v19(constB136)) | (~v22(constB136))),
% 9.87/7.38 inference(unit_resolution,[status(thm)],[36627, 36626, 36620])).
% 9.87/7.38 tff(36629,plain,
% 9.87/7.38 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB136) <=> (v1(constB136) | v6(constB136)))),
% 9.87/7.38 inference(quant_inst,[status(thm)],[])).
% 9.87/7.38 tff(36630,plain,
% 9.87/7.38 (v22(constB136) <=> (v1(constB136) | v6(constB136))),
% 9.87/7.38 inference(unit_resolution,[status(thm)],[36629, 301])).
% 9.87/7.38 tff(36631,plain,
% 9.87/7.38 ((v1(constB136) | v6(constB136)) | (~v1(constB136))),
% 9.87/7.38 inference(tautology,[status(thm)],[])).
% 9.87/7.38 tff(36632,plain,
% 9.87/7.38 (v1(constB136) | v6(constB136)),
% 9.87/7.38 inference(unit_resolution,[status(thm)],[36631, 3587])).
% 9.87/7.38 tff(36633,plain,
% 9.87/7.38 ((~(v22(constB136) <=> (v1(constB136) | v6(constB136)))) | v22(constB136) | (~(v1(constB136) | v6(constB136)))),
% 9.87/7.38 inference(tautology,[status(thm)],[])).
% 9.87/7.38 tff(36634,plain,
% 9.87/7.38 ((~(v22(constB136) <=> (v1(constB136) | v6(constB136)))) | v22(constB136)),
% 9.87/7.38 inference(unit_resolution,[status(thm)],[36633, 36632])).
% 9.87/7.38 tff(36635,plain,
% 9.87/7.38 (v22(constB136)),
% 9.87/7.38 inference(unit_resolution,[status(thm)],[36634, 36630])).
% 9.87/7.38 tff(36636,plain,
% 9.87/7.38 ((~((~v19(constB136)) | (~v22(constB136)))) | (~v19(constB136)) | (~v22(constB136))),
% 9.87/7.38 inference(tautology,[status(thm)],[])).
% 9.87/7.38 tff(36637,plain,
% 9.87/7.38 ((~((~v19(constB136)) | (~v22(constB136)))) | (~v19(constB136))),
% 9.87/7.38 inference(unit_resolution,[status(thm)],[36636, 36635])).
% 9.87/7.38 tff(36638,plain,
% 9.87/7.38 (~v19(constB136)),
% 9.87/7.38 inference(unit_resolution,[status(thm)],[36637, 36628])).
% 9.87/7.38 tff(36639,plain,
% 9.87/7.38 ((~(v19(constB136) <=> (v20(constB136) | v21(constB136)))) | v19(constB136) | (~(v20(constB136) | v21(constB136)))),
% 9.87/7.38 inference(tautology,[status(thm)],[])).
% 9.87/7.38 tff(36640,plain,
% 9.87/7.38 (~(v20(constB136) | v21(constB136))),
% 9.87/7.38 inference(unit_resolution,[status(thm)],[36639, 36638, 36618])).
% 9.87/7.38 tff(36641,plain,
% 9.87/7.38 ((v20(constB136) | v21(constB136)) | (~v21(constB136))),
% 9.87/7.38 inference(tautology,[status(thm)],[])).
% 9.87/7.38 tff(36642,plain,
% 9.87/7.38 (~v21(constB136)),
% 9.87/7.38 inference(unit_resolution,[status(thm)],[36641, 36640])).
% 9.87/7.38 tff(36643,plain,
% 9.87/7.38 ((~((~v21(constB136)) <=> v6(constB136))) | v21(constB136) | v6(constB136)),
% 9.87/7.38 inference(tautology,[status(thm)],[])).
% 9.87/7.38 tff(36644,plain,
% 9.87/7.38 (v6(constB136)),
% 9.87/7.38 inference(unit_resolution,[status(thm)],[36643, 36642, 36616])).
% 9.87/7.38 tff(36645,plain,
% 9.87/7.38 ((~(v6(constB136) <=> v13(constB136))) | (~v6(constB136)) | v13(constB136)),
% 9.87/7.38 inference(tautology,[status(thm)],[])).
% 9.87/7.38 tff(36646,plain,
% 9.87/7.38 (v13(constB136)),
% 9.87/7.38 inference(unit_resolution,[status(thm)],[36645, 36644, 36614])).
% 9.87/7.38 tff(36647,plain,
% 9.87/7.38 ((~(v13(constB136) <=> v9(constB135))) | (~v13(constB136)) | v9(constB135)),
% 9.87/7.38 inference(tautology,[status(thm)],[])).
% 9.87/7.38 tff(36648,plain,
% 9.87/7.38 (v9(constB135)),
% 9.87/7.38 inference(unit_resolution,[status(thm)],[36647, 36646, 36612])).
% 9.87/7.38 tff(36649,plain,
% 9.87/7.38 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB135)) <=> v1(constB135))),
% 9.87/7.38 inference(quant_inst,[status(thm)],[])).
% 9.87/7.38 tff(36650,plain,
% 9.87/7.38 ((~v39(constB135)) <=> v1(constB135)),
% 9.87/7.38 inference(unit_resolution,[status(thm)],[36649, 139])).
% 9.87/7.38 tff(36651,plain,
% 9.87/7.38 ((~((~v39(constB135)) <=> v1(constB135))) | v39(constB135) | v1(constB135)),
% 9.87/7.38 inference(tautology,[status(thm)],[])).
% 9.87/7.38 tff(36652,plain,
% 9.87/7.38 ((~((~v39(constB135)) <=> v1(constB135))) | v39(constB135)),
% 9.87/7.38 inference(unit_resolution,[status(thm)],[36651, 3579])).
% 9.87/7.38 tff(36653,plain,
% 9.87/7.38 (v39(constB135)),
% 9.87/7.38 inference(unit_resolution,[status(thm)],[36652, 36650])).
% 9.87/7.38 tff(36654,plain,
% 9.87/7.38 ((~((~v39(constB135)) | (~v9(constB135)))) | (~v39(constB135)) | (~v9(constB135))),
% 9.87/7.38 inference(tautology,[status(thm)],[])).
% 9.87/7.38 tff(36655,plain,
% 9.87/7.38 ((~((~v39(constB135)) | (~v9(constB135)))) | (~v9(constB135))),
% 9.87/7.38 inference(unit_resolution,[status(thm)],[36654, 36653])).
% 9.87/7.38 tff(36656,plain,
% 9.87/7.38 (~((~v39(constB135)) | (~v9(constB135)))),
% 9.87/7.38 inference(unit_resolution,[status(thm)],[36655, 36648])).
% 9.87/7.38 tff(36657,plain,
% 9.87/7.38 ((~(v141(constB135) <=> (~((~v39(constB135)) | (~v9(constB135)))))) | v141(constB135) | ((~v39(constB135)) | (~v9(constB135)))),
% 9.87/7.38 inference(tautology,[status(thm)],[])).
% 9.87/7.38 tff(36658,plain,
% 9.87/7.38 (v141(constB135)),
% 9.87/7.38 inference(unit_resolution,[status(thm)],[36657, 36656, 36608])).
% 9.87/7.38 tff(36659,plain,
% 9.87/7.38 ((v141(constB135) | v26(constB135)) | (~v141(constB135))),
% 9.87/7.38 inference(tautology,[status(thm)],[])).
% 9.87/7.38 tff(36660,plain,
% 9.87/7.38 (v141(constB135) | v26(constB135)),
% 9.87/7.38 inference(unit_resolution,[status(thm)],[36659, 36658])).
% 9.87/7.38 tff(36661,plain,
% 9.87/7.38 ((~(v140(constB135) <=> (v141(constB135) | v26(constB135)))) | v140(constB135) | (~(v141(constB135) | v26(constB135)))),
% 9.87/7.38 inference(tautology,[status(thm)],[])).
% 9.87/7.38 tff(36662,plain,
% 9.87/7.38 (v140(constB135)),
% 9.87/7.38 inference(unit_resolution,[status(thm)],[36661, 36660, 36606])).
% 9.87/7.38 tff(36663,plain,
% 9.87/7.38 ((~((~v139(constB135)) <=> v140(constB135))) | (~v139(constB135)) | (~v140(constB135))),
% 9.87/7.38 inference(tautology,[status(thm)],[])).
% 9.87/7.38 tff(36664,plain,
% 9.87/7.38 (~v139(constB135)),
% 9.87/7.38 inference(unit_resolution,[status(thm)],[36663, 36662, 36604])).
% 9.87/7.38 tff(36665,plain,
% 9.87/7.38 (((~v128(constB135)) | (~v139(constB135))) | v139(constB135)),
% 9.87/7.38 inference(tautology,[status(thm)],[])).
% 9.87/7.38 tff(36666,plain,
% 9.87/7.38 ((~v128(constB135)) | (~v139(constB135))),
% 9.87/7.38 inference(unit_resolution,[status(thm)],[36665, 36664])).
% 9.87/7.38 tff(36667,plain,
% 9.87/7.38 ((~(v163(constB135) <=> (~((~v128(constB135)) | (~v139(constB135)))))) | (~v163(constB135)) | (~((~v128(constB135)) | (~v139(constB135))))),
% 9.87/7.38 inference(tautology,[status(thm)],[])).
% 9.87/7.38 tff(36668,plain,
% 9.87/7.38 (~v163(constB135)),
% 9.87/7.38 inference(unit_resolution,[status(thm)],[36667, 36666, 36602])).
% 9.87/7.38 tff(36669,plain,
% 9.87/7.38 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB135) <=> (~((~v130(constB135)) | (~v154(constB135)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB135) <=> (~((~v130(constB135)) | (~v154(constB135))))))),
% 9.87/7.38 inference(rewrite,[status(thm)],[])).
% 9.87/7.38 tff(36670,plain,
% 9.87/7.38 ((v164(constB135) <=> (~((~v154(constB135)) | (~v130(constB135))))) <=> (v164(constB135) <=> (~((~v130(constB135)) | (~v154(constB135)))))),
% 9.87/7.38 inference(rewrite,[status(thm)],[])).
% 9.87/7.38 tff(36671,plain,
% 9.87/7.38 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB135) <=> (~((~v154(constB135)) | (~v130(constB135)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB135) <=> (~((~v130(constB135)) | (~v154(constB135))))))),
% 9.87/7.38 inference(monotonicity,[status(thm)],[36670])).
% 9.87/7.38 tff(36672,plain,
% 9.87/7.38 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB135) <=> (~((~v154(constB135)) | (~v130(constB135)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB135) <=> (~((~v130(constB135)) | (~v154(constB135))))))),
% 9.87/7.38 inference(transitivity,[status(thm)],[36671, 36669])).
% 9.87/7.38 tff(36673,plain,
% 9.87/7.38 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB135) <=> (~((~v154(constB135)) | (~v130(constB135)))))),
% 9.87/7.38 inference(quant_inst,[status(thm)],[])).
% 9.87/7.38 tff(36674,plain,
% 9.87/7.38 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB135) <=> (~((~v130(constB135)) | (~v154(constB135)))))),
% 9.87/7.38 inference(modus_ponens,[status(thm)],[36673, 36672])).
% 9.87/7.38 tff(36675,plain,
% 9.87/7.38 (v164(constB135) <=> (~((~v130(constB135)) | (~v154(constB135))))),
% 9.87/7.38 inference(unit_resolution,[status(thm)],[36674, 96])).
% 9.87/7.38 tff(36676,plain,
% 9.87/7.38 ((~![VarNext: $i] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB135) <=> v152(constB135))),
% 9.87/7.38 inference(quant_inst,[status(thm)],[])).
% 9.87/7.38 tff(36677,plain,
% 9.87/7.38 (v130(constB135) <=> v152(constB135)),
% 9.87/7.38 inference(unit_resolution,[status(thm)],[36676, 361])).
% 9.87/7.38 tff(36678,plain,
% 9.87/7.38 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB134, constB135)) | (v152(constB135) <=> v150(constB134)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB134, constB135)) | (v152(constB135) <=> v150(constB134)))),
% 9.87/7.38 inference(rewrite,[status(thm)],[])).
% 9.87/7.38 tff(36679,plain,
% 9.87/7.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB134, constB135)) | (v152(constB135) <=> v150(constB134)))),
% 9.87/7.38 inference(quant_inst,[status(thm)],[])).
% 9.87/7.38 tff(36680,plain,
% 9.87/7.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB134, constB135)) | (v152(constB135) <=> v150(constB134))),
% 9.87/7.38 inference(modus_ponens,[status(thm)],[36679, 36678])).
% 9.87/7.38 tff(36681,plain,
% 9.87/7.38 (v152(constB135) <=> v150(constB134)),
% 9.87/7.38 inference(unit_resolution,[status(thm)],[36680, 3622, 373])).
% 9.87/7.38 tff(36682,plain,
% 9.87/7.38 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v153(VarCurr) | v155(VarCurr)))) | (v150(constB134) <=> (v153(constB134) | v155(constB134)))),
% 9.87/7.38 inference(quant_inst,[status(thm)],[])).
% 9.87/7.38 tff(36683,plain,
% 9.87/7.38 (v150(constB134) <=> (v153(constB134) | v155(constB134))),
% 9.87/7.38 inference(unit_resolution,[status(thm)],[36682, 387])).
% 9.87/7.38 tff(36684,plain,
% 9.87/7.38 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB134) <=> (~((~v132(constB134)) | (~v154(constB134)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB134) <=> (~((~v132(constB134)) | (~v154(constB134))))))),
% 9.87/7.38 inference(rewrite,[status(thm)],[])).
% 9.87/7.38 tff(36685,plain,
% 9.87/7.38 ((v153(constB134) <=> (~((~v154(constB134)) | (~v132(constB134))))) <=> (v153(constB134) <=> (~((~v132(constB134)) | (~v154(constB134)))))),
% 9.87/7.38 inference(rewrite,[status(thm)],[])).
% 9.87/7.38 tff(36686,plain,
% 9.87/7.38 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB134) <=> (~((~v154(constB134)) | (~v132(constB134)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB134) <=> (~((~v132(constB134)) | (~v154(constB134))))))),
% 9.87/7.38 inference(monotonicity,[status(thm)],[36685])).
% 9.87/7.38 tff(36687,plain,
% 9.87/7.38 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB134) <=> (~((~v154(constB134)) | (~v132(constB134)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB134) <=> (~((~v132(constB134)) | (~v154(constB134))))))),
% 9.87/7.38 inference(transitivity,[status(thm)],[36686, 36684])).
% 9.87/7.38 tff(36688,plain,
% 9.87/7.38 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB134) <=> (~((~v154(constB134)) | (~v132(constB134)))))),
% 9.87/7.38 inference(quant_inst,[status(thm)],[])).
% 9.87/7.38 tff(36689,plain,
% 9.87/7.38 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB134) <=> (~((~v132(constB134)) | (~v154(constB134)))))),
% 9.87/7.38 inference(modus_ponens,[status(thm)],[36688, 36687])).
% 9.87/7.38 tff(36690,plain,
% 9.87/7.38 (v153(constB134) <=> (~((~v132(constB134)) | (~v154(constB134))))),
% 9.87/7.38 inference(unit_resolution,[status(thm)],[36689, 399])).
% 9.87/7.38 tff(36691,plain,
% 9.87/7.38 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB134) <=> (~((~v141(constB134)) | (~v143(constB134)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB134) <=> (~((~v141(constB134)) | (~v143(constB134))))))),
% 9.87/7.38 inference(rewrite,[status(thm)],[])).
% 9.87/7.38 tff(36692,plain,
% 9.87/7.38 ((v154(constB134) <=> (~((~v143(constB134)) | (~v141(constB134))))) <=> (v154(constB134) <=> (~((~v141(constB134)) | (~v143(constB134)))))),
% 9.87/7.38 inference(rewrite,[status(thm)],[])).
% 9.87/7.38 tff(36693,plain,
% 9.87/7.38 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB134) <=> (~((~v143(constB134)) | (~v141(constB134)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB134) <=> (~((~v141(constB134)) | (~v143(constB134))))))),
% 9.87/7.38 inference(monotonicity,[status(thm)],[36692])).
% 9.87/7.38 tff(36694,plain,
% 9.87/7.38 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB134) <=> (~((~v143(constB134)) | (~v141(constB134)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB134) <=> (~((~v141(constB134)) | (~v143(constB134))))))),
% 9.87/7.38 inference(transitivity,[status(thm)],[36693, 36691])).
% 9.87/7.38 tff(36695,plain,
% 9.87/7.38 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB134) <=> (~((~v143(constB134)) | (~v141(constB134)))))),
% 9.87/7.38 inference(quant_inst,[status(thm)],[])).
% 9.87/7.38 tff(36696,plain,
% 9.87/7.38 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB134) <=> (~((~v141(constB134)) | (~v143(constB134)))))),
% 9.87/7.38 inference(modus_ponens,[status(thm)],[36695, 36694])).
% 9.87/7.38 tff(36697,plain,
% 9.87/7.38 (v154(constB134) <=> (~((~v141(constB134)) | (~v143(constB134))))),
% 9.87/7.38 inference(unit_resolution,[status(thm)],[36696, 113])).
% 9.87/7.38 tff(36698,plain,
% 9.87/7.38 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB134) <=> (~((~v39(constB134)) | (~v9(constB134)))))),
% 9.87/7.38 inference(quant_inst,[status(thm)],[])).
% 9.87/7.38 tff(36699,plain,
% 9.87/7.38 (v141(constB134) <=> (~((~v39(constB134)) | (~v9(constB134))))),
% 9.87/7.38 inference(unit_resolution,[status(thm)],[36698, 130])).
% 9.87/7.38 tff(36700,plain,
% 9.87/7.38 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB134)) <=> v1(constB134))),
% 9.87/7.38 inference(quant_inst,[status(thm)],[])).
% 9.87/7.38 tff(36701,plain,
% 9.87/7.38 ((~v39(constB134)) <=> v1(constB134)),
% 9.87/7.38 inference(unit_resolution,[status(thm)],[36700, 139])).
% 9.87/7.38 tff(36702,plain,
% 9.87/7.38 ((~((~v39(constB134)) <=> v1(constB134))) | (~v39(constB134)) | (~v1(constB134))),
% 9.87/7.38 inference(tautology,[status(thm)],[])).
% 9.87/7.38 tff(36703,plain,
% 9.87/7.38 ((~((~v39(constB134)) <=> v1(constB134))) | (~v39(constB134))),
% 9.87/7.38 inference(unit_resolution,[status(thm)],[36702, 3684])).
% 9.87/7.38 tff(36704,plain,
% 9.87/7.38 (~v39(constB134)),
% 9.87/7.38 inference(unit_resolution,[status(thm)],[36703, 36701])).
% 9.87/7.38 tff(36705,plain,
% 9.87/7.38 (((~v39(constB134)) | (~v9(constB134))) | v39(constB134)),
% 9.87/7.38 inference(tautology,[status(thm)],[])).
% 9.87/7.38 tff(36706,plain,
% 9.87/7.38 ((~v39(constB134)) | (~v9(constB134))),
% 9.87/7.38 inference(unit_resolution,[status(thm)],[36705, 36704])).
% 9.87/7.38 tff(36707,plain,
% 9.87/7.38 ((~(v141(constB134) <=> (~((~v39(constB134)) | (~v9(constB134)))))) | (~v141(constB134)) | (~((~v39(constB134)) | (~v9(constB134))))),
% 9.87/7.38 inference(tautology,[status(thm)],[])).
% 9.87/7.38 tff(36708,plain,
% 9.87/7.38 ((~(v141(constB134) <=> (~((~v39(constB134)) | (~v9(constB134)))))) | (~v141(constB134))),
% 9.87/7.38 inference(unit_resolution,[status(thm)],[36707, 36706])).
% 9.87/7.38 tff(36709,plain,
% 9.87/7.38 (~v141(constB134)),
% 9.87/7.38 inference(unit_resolution,[status(thm)],[36708, 36699])).
% 9.87/7.38 tff(36710,plain,
% 9.87/7.38 (((~v141(constB134)) | (~v143(constB134))) | v141(constB134)),
% 9.87/7.38 inference(tautology,[status(thm)],[])).
% 9.87/7.38 tff(36711,plain,
% 9.87/7.38 ((~v141(constB134)) | (~v143(constB134))),
% 9.87/7.38 inference(unit_resolution,[status(thm)],[36710, 36709])).
% 9.87/7.38 tff(36712,plain,
% 9.87/7.38 ((~(v154(constB134) <=> (~((~v141(constB134)) | (~v143(constB134)))))) | (~v154(constB134)) | (~((~v141(constB134)) | (~v143(constB134))))),
% 9.87/7.38 inference(tautology,[status(thm)],[])).
% 9.87/7.38 tff(36713,plain,
% 9.87/7.38 ((~(v154(constB134) <=> (~((~v141(constB134)) | (~v143(constB134)))))) | (~v154(constB134))),
% 9.87/7.38 inference(unit_resolution,[status(thm)],[36712, 36711])).
% 9.87/7.38 tff(36714,plain,
% 9.87/7.38 (~v154(constB134)),
% 9.87/7.38 inference(unit_resolution,[status(thm)],[36713, 36697])).
% 9.87/7.38 tff(36715,plain,
% 9.87/7.38 (((~v132(constB134)) | (~v154(constB134))) | v154(constB134)),
% 9.87/7.38 inference(tautology,[status(thm)],[])).
% 9.87/7.38 tff(36716,plain,
% 9.87/7.38 ((~v132(constB134)) | (~v154(constB134))),
% 9.87/7.38 inference(unit_resolution,[status(thm)],[36715, 36714])).
% 9.87/7.38 tff(36717,plain,
% 9.87/7.38 ((~(v153(constB134) <=> (~((~v132(constB134)) | (~v154(constB134)))))) | (~v153(constB134)) | (~((~v132(constB134)) | (~v154(constB134))))),
% 9.87/7.38 inference(tautology,[status(thm)],[])).
% 9.87/7.38 tff(36718,plain,
% 9.87/7.38 (~v153(constB134)),
% 9.87/7.38 inference(unit_resolution,[status(thm)],[36717, 36716, 36690])).
% 9.87/7.38 tff(36719,plain,
% 9.87/7.38 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB134) <=> (~((~v130(constB134)) | (~v139(constB134)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB134) <=> (~((~v130(constB134)) | (~v139(constB134))))))),
% 9.87/7.38 inference(rewrite,[status(thm)],[])).
% 9.87/7.38 tff(36720,plain,
% 9.87/7.38 ((v155(constB134) <=> (~((~v139(constB134)) | (~v130(constB134))))) <=> (v155(constB134) <=> (~((~v130(constB134)) | (~v139(constB134)))))),
% 9.87/7.38 inference(rewrite,[status(thm)],[])).
% 9.87/7.38 tff(36721,plain,
% 9.87/7.38 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB134) <=> (~((~v139(constB134)) | (~v130(constB134)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB134) <=> (~((~v130(constB134)) | (~v139(constB134))))))),
% 9.87/7.38 inference(monotonicity,[status(thm)],[36720])).
% 9.87/7.38 tff(36722,plain,
% 9.87/7.38 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB134) <=> (~((~v139(constB134)) | (~v130(constB134)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB134) <=> (~((~v130(constB134)) | (~v139(constB134))))))),
% 9.87/7.38 inference(transitivity,[status(thm)],[36721, 36719])).
% 9.87/7.38 tff(36723,plain,
% 9.87/7.38 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB134) <=> (~((~v139(constB134)) | (~v130(constB134)))))),
% 9.87/7.38 inference(quant_inst,[status(thm)],[])).
% 9.87/7.38 tff(36724,plain,
% 9.87/7.38 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB134) <=> (~((~v130(constB134)) | (~v139(constB134)))))),
% 9.87/7.38 inference(modus_ponens,[status(thm)],[36723, 36722])).
% 9.87/7.38 tff(36725,plain,
% 9.87/7.38 (v155(constB134) <=> (~((~v130(constB134)) | (~v139(constB134))))),
% 9.87/7.38 inference(unit_resolution,[status(thm)],[36724, 447])).
% 9.87/7.38 tff(36726,plain,
% 9.87/7.38 ((~![VarNext: $i] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB134) <=> v152(constB134))),
% 9.87/7.38 inference(quant_inst,[status(thm)],[])).
% 9.87/7.38 tff(36727,plain,
% 9.87/7.38 (v130(constB134) <=> v152(constB134)),
% 9.87/7.38 inference(unit_resolution,[status(thm)],[36726, 361])).
% 9.87/7.38 tff(36728,plain,
% 9.87/7.38 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB133, constB134)) | (v152(constB134) <=> v150(constB133)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB133, constB134)) | (v152(constB134) <=> v150(constB133)))),
% 9.87/7.38 inference(rewrite,[status(thm)],[])).
% 9.87/7.38 tff(36729,plain,
% 9.87/7.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB133, constB134)) | (v152(constB134) <=> v150(constB133)))),
% 9.87/7.38 inference(quant_inst,[status(thm)],[])).
% 9.87/7.38 tff(36730,plain,
% 9.87/7.38 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB133, constB134)) | (v152(constB134) <=> v150(constB133))),
% 9.87/7.38 inference(modus_ponens,[status(thm)],[36729, 36728])).
% 9.87/7.38 tff(36731,plain,
% 9.87/7.38 (v152(constB134) <=> v150(constB133)),
% 9.87/7.38 inference(unit_resolution,[status(thm)],[36730, 3654, 373])).
% 9.87/7.38 tff(36732,plain,
% 9.87/7.38 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v153(VarCurr) | v155(VarCurr)))) | (v150(constB133) <=> (v153(constB133) | v155(constB133)))),
% 9.87/7.38 inference(quant_inst,[status(thm)],[])).
% 9.87/7.38 tff(36733,plain,
% 9.87/7.38 (v150(constB133) <=> (v153(constB133) | v155(constB133))),
% 9.87/7.38 inference(unit_resolution,[status(thm)],[36732, 387])).
% 9.87/7.38 tff(36734,plain,
% 9.87/7.38 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB133) <=> (~((~v130(constB133)) | (~v139(constB133)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB133) <=> (~((~v130(constB133)) | (~v139(constB133))))))),
% 9.87/7.38 inference(rewrite,[status(thm)],[])).
% 9.87/7.38 tff(36735,plain,
% 9.87/7.38 ((v155(constB133) <=> (~((~v139(constB133)) | (~v130(constB133))))) <=> (v155(constB133) <=> (~((~v130(constB133)) | (~v139(constB133)))))),
% 9.87/7.39 inference(rewrite,[status(thm)],[])).
% 9.87/7.39 tff(36736,plain,
% 9.87/7.39 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB133) <=> (~((~v139(constB133)) | (~v130(constB133)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB133) <=> (~((~v130(constB133)) | (~v139(constB133))))))),
% 9.87/7.39 inference(monotonicity,[status(thm)],[36735])).
% 9.87/7.39 tff(36737,plain,
% 9.87/7.39 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB133) <=> (~((~v139(constB133)) | (~v130(constB133)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB133) <=> (~((~v130(constB133)) | (~v139(constB133))))))),
% 9.87/7.39 inference(transitivity,[status(thm)],[36736, 36734])).
% 9.87/7.39 tff(36738,plain,
% 9.87/7.39 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB133) <=> (~((~v139(constB133)) | (~v130(constB133)))))),
% 9.87/7.39 inference(quant_inst,[status(thm)],[])).
% 9.87/7.39 tff(36739,plain,
% 9.87/7.39 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB133) <=> (~((~v130(constB133)) | (~v139(constB133)))))),
% 9.87/7.39 inference(modus_ponens,[status(thm)],[36738, 36737])).
% 9.87/7.39 tff(36740,plain,
% 9.87/7.39 (v155(constB133) <=> (~((~v130(constB133)) | (~v139(constB133))))),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36739, 447])).
% 9.87/7.39 tff(36741,plain,
% 9.87/7.39 ((~![VarCurr: $i] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB133)) <=> v140(constB133))),
% 9.87/7.39 inference(quant_inst,[status(thm)],[])).
% 9.87/7.39 tff(36742,plain,
% 9.87/7.39 ((~v139(constB133)) <=> v140(constB133)),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36741, 203])).
% 9.87/7.39 tff(36743,plain,
% 9.87/7.39 ((~![VarCurr: $i] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB133) <=> (v141(constB133) | v26(constB133)))),
% 9.87/7.39 inference(quant_inst,[status(thm)],[])).
% 9.87/7.39 tff(36744,plain,
% 9.87/7.39 (v140(constB133) <=> (v141(constB133) | v26(constB133))),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36743, 212])).
% 9.87/7.39 tff(36745,plain,
% 9.87/7.39 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB133) <=> (~((~v39(constB133)) | (~v9(constB133)))))),
% 9.87/7.39 inference(quant_inst,[status(thm)],[])).
% 9.87/7.39 tff(36746,plain,
% 9.87/7.39 (v141(constB133) <=> (~((~v39(constB133)) | (~v9(constB133))))),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36745, 130])).
% 9.87/7.39 tff(36747,plain,
% 9.87/7.39 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB133, constB134)) | (v13(constB134) <=> v9(constB133)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB133, constB134)) | (v13(constB134) <=> v9(constB133)))),
% 9.87/7.39 inference(rewrite,[status(thm)],[])).
% 9.87/7.39 tff(36748,plain,
% 9.87/7.39 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB133, constB134)) | (v13(constB134) <=> v9(constB133)))),
% 9.87/7.39 inference(quant_inst,[status(thm)],[])).
% 9.87/7.39 tff(36749,plain,
% 9.87/7.39 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB133, constB134)) | (v13(constB134) <=> v9(constB133))),
% 9.87/7.39 inference(modus_ponens,[status(thm)],[36748, 36747])).
% 9.87/7.39 tff(36750,plain,
% 9.87/7.39 (v13(constB134) <=> v9(constB133)),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36749, 3654, 226])).
% 9.87/7.39 tff(36751,plain,
% 9.87/7.39 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB134) <=> v13(constB134))),
% 9.87/7.39 inference(quant_inst,[status(thm)],[])).
% 9.87/7.39 tff(36752,plain,
% 9.87/7.39 (v6(constB134) <=> v13(constB134)),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36751, 240])).
% 9.87/7.39 tff(36753,plain,
% 9.87/7.39 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB134)) <=> v6(constB134))),
% 9.87/7.39 inference(quant_inst,[status(thm)],[])).
% 9.87/7.39 tff(36754,plain,
% 9.87/7.39 ((~v21(constB134)) <=> v6(constB134)),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36753, 249])).
% 9.87/7.39 tff(36755,plain,
% 9.87/7.39 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB134) <=> (v20(constB134) | v21(constB134)))),
% 9.87/7.39 inference(quant_inst,[status(thm)],[])).
% 9.87/7.39 tff(36756,plain,
% 9.87/7.39 (v19(constB134) <=> (v20(constB134) | v21(constB134))),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36755, 258])).
% 9.87/7.39 tff(36757,plain,
% 9.87/7.39 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB134) <=> (~((~v19(constB134)) | (~v22(constB134)))))),
% 9.87/7.39 inference(quant_inst,[status(thm)],[])).
% 9.87/7.39 tff(36758,plain,
% 9.87/7.39 (v18(constB134) <=> (~((~v19(constB134)) | (~v22(constB134))))),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36757, 270])).
% 9.87/7.39 tff(36759,plain,
% 9.87/7.39 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB134)) <=> v18(constB134))),
% 9.87/7.39 inference(quant_inst,[status(thm)],[])).
% 9.87/7.39 tff(36760,plain,
% 9.87/7.39 ((~v4(constB134)) <=> v18(constB134)),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36759, 279])).
% 9.87/7.39 tff(36761,plain,
% 9.87/7.39 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB134)),
% 9.87/7.39 inference(quant_inst,[status(thm)],[])).
% 9.87/7.39 tff(36762,plain,
% 9.87/7.39 (v4(constB134)),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36761, 288])).
% 9.87/7.39 tff(36763,plain,
% 9.87/7.39 ((~((~v4(constB134)) <=> v18(constB134))) | (~v4(constB134)) | (~v18(constB134))),
% 9.87/7.39 inference(tautology,[status(thm)],[])).
% 9.87/7.39 tff(36764,plain,
% 9.87/7.39 (~v18(constB134)),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36763, 36762, 36760])).
% 9.87/7.39 tff(36765,plain,
% 9.87/7.39 ((~(v18(constB134) <=> (~((~v19(constB134)) | (~v22(constB134)))))) | v18(constB134) | ((~v19(constB134)) | (~v22(constB134)))),
% 9.87/7.39 inference(tautology,[status(thm)],[])).
% 9.87/7.39 tff(36766,plain,
% 9.87/7.39 ((~v19(constB134)) | (~v22(constB134))),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36765, 36764, 36758])).
% 9.87/7.39 tff(36767,plain,
% 9.87/7.39 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB134) <=> (v1(constB134) | v6(constB134)))),
% 9.87/7.39 inference(quant_inst,[status(thm)],[])).
% 9.87/7.39 tff(36768,plain,
% 9.87/7.39 (v22(constB134) <=> (v1(constB134) | v6(constB134))),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36767, 301])).
% 9.87/7.39 tff(36769,plain,
% 9.87/7.39 ((v1(constB134) | v6(constB134)) | (~v1(constB134))),
% 9.87/7.39 inference(tautology,[status(thm)],[])).
% 9.87/7.39 tff(36770,plain,
% 9.87/7.39 (v1(constB134) | v6(constB134)),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36769, 3684])).
% 9.87/7.39 tff(36771,plain,
% 9.87/7.39 ((~(v22(constB134) <=> (v1(constB134) | v6(constB134)))) | v22(constB134) | (~(v1(constB134) | v6(constB134)))),
% 9.87/7.39 inference(tautology,[status(thm)],[])).
% 9.87/7.39 tff(36772,plain,
% 9.87/7.39 ((~(v22(constB134) <=> (v1(constB134) | v6(constB134)))) | v22(constB134)),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36771, 36770])).
% 9.87/7.39 tff(36773,plain,
% 9.87/7.39 (v22(constB134)),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36772, 36768])).
% 9.87/7.39 tff(36774,plain,
% 9.87/7.39 ((~((~v19(constB134)) | (~v22(constB134)))) | (~v19(constB134)) | (~v22(constB134))),
% 9.87/7.39 inference(tautology,[status(thm)],[])).
% 9.87/7.39 tff(36775,plain,
% 9.87/7.39 ((~((~v19(constB134)) | (~v22(constB134)))) | (~v19(constB134))),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36774, 36773])).
% 9.87/7.39 tff(36776,plain,
% 9.87/7.39 (~v19(constB134)),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36775, 36766])).
% 9.87/7.39 tff(36777,plain,
% 9.87/7.39 ((~(v19(constB134) <=> (v20(constB134) | v21(constB134)))) | v19(constB134) | (~(v20(constB134) | v21(constB134)))),
% 9.87/7.39 inference(tautology,[status(thm)],[])).
% 9.87/7.39 tff(36778,plain,
% 9.87/7.39 (~(v20(constB134) | v21(constB134))),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36777, 36776, 36756])).
% 9.87/7.39 tff(36779,plain,
% 9.87/7.39 ((v20(constB134) | v21(constB134)) | (~v21(constB134))),
% 9.87/7.39 inference(tautology,[status(thm)],[])).
% 9.87/7.39 tff(36780,plain,
% 9.87/7.39 (~v21(constB134)),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36779, 36778])).
% 9.87/7.39 tff(36781,plain,
% 9.87/7.39 ((~((~v21(constB134)) <=> v6(constB134))) | v21(constB134) | v6(constB134)),
% 9.87/7.39 inference(tautology,[status(thm)],[])).
% 9.87/7.39 tff(36782,plain,
% 9.87/7.39 (v6(constB134)),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36781, 36780, 36754])).
% 9.87/7.39 tff(36783,plain,
% 9.87/7.39 ((~(v6(constB134) <=> v13(constB134))) | (~v6(constB134)) | v13(constB134)),
% 9.87/7.39 inference(tautology,[status(thm)],[])).
% 9.87/7.39 tff(36784,plain,
% 9.87/7.39 (v13(constB134)),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36783, 36782, 36752])).
% 9.87/7.39 tff(36785,plain,
% 9.87/7.39 ((~(v13(constB134) <=> v9(constB133))) | (~v13(constB134)) | v9(constB133)),
% 9.87/7.39 inference(tautology,[status(thm)],[])).
% 9.87/7.39 tff(36786,plain,
% 9.87/7.39 (v9(constB133)),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36785, 36784, 36750])).
% 9.87/7.39 tff(36787,plain,
% 9.87/7.39 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB133)) <=> v1(constB133))),
% 9.87/7.39 inference(quant_inst,[status(thm)],[])).
% 9.87/7.39 tff(36788,plain,
% 9.87/7.39 ((~v39(constB133)) <=> v1(constB133)),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36787, 139])).
% 9.87/7.39 tff(36789,plain,
% 9.87/7.39 ((~((~v39(constB133)) <=> v1(constB133))) | v39(constB133) | v1(constB133)),
% 9.87/7.39 inference(tautology,[status(thm)],[])).
% 9.87/7.39 tff(36790,plain,
% 9.87/7.39 ((~((~v39(constB133)) <=> v1(constB133))) | v39(constB133)),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36789, 3676])).
% 9.87/7.39 tff(36791,plain,
% 9.87/7.39 (v39(constB133)),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36790, 36788])).
% 9.87/7.39 tff(36792,plain,
% 9.87/7.39 ((~((~v39(constB133)) | (~v9(constB133)))) | (~v39(constB133)) | (~v9(constB133))),
% 9.87/7.39 inference(tautology,[status(thm)],[])).
% 9.87/7.39 tff(36793,plain,
% 9.87/7.39 ((~((~v39(constB133)) | (~v9(constB133)))) | (~v9(constB133))),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36792, 36791])).
% 9.87/7.39 tff(36794,plain,
% 9.87/7.39 (~((~v39(constB133)) | (~v9(constB133)))),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36793, 36786])).
% 9.87/7.39 tff(36795,plain,
% 9.87/7.39 ((~(v141(constB133) <=> (~((~v39(constB133)) | (~v9(constB133)))))) | v141(constB133) | ((~v39(constB133)) | (~v9(constB133)))),
% 9.87/7.39 inference(tautology,[status(thm)],[])).
% 9.87/7.39 tff(36796,plain,
% 9.87/7.39 (v141(constB133)),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36795, 36794, 36746])).
% 9.87/7.39 tff(36797,plain,
% 9.87/7.39 ((v141(constB133) | v26(constB133)) | (~v141(constB133))),
% 9.87/7.39 inference(tautology,[status(thm)],[])).
% 9.87/7.39 tff(36798,plain,
% 9.87/7.39 (v141(constB133) | v26(constB133)),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36797, 36796])).
% 9.87/7.39 tff(36799,plain,
% 9.87/7.39 ((~(v140(constB133) <=> (v141(constB133) | v26(constB133)))) | v140(constB133) | (~(v141(constB133) | v26(constB133)))),
% 9.87/7.39 inference(tautology,[status(thm)],[])).
% 9.87/7.39 tff(36800,plain,
% 9.87/7.39 (v140(constB133)),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36799, 36798, 36744])).
% 9.87/7.39 tff(36801,plain,
% 9.87/7.39 ((~((~v139(constB133)) <=> v140(constB133))) | (~v139(constB133)) | (~v140(constB133))),
% 9.87/7.39 inference(tautology,[status(thm)],[])).
% 9.87/7.39 tff(36802,plain,
% 9.87/7.39 (~v139(constB133)),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36801, 36800, 36742])).
% 9.87/7.39 tff(36803,plain,
% 9.87/7.39 (((~v130(constB133)) | (~v139(constB133))) | v139(constB133)),
% 9.87/7.39 inference(tautology,[status(thm)],[])).
% 9.87/7.39 tff(36804,plain,
% 9.87/7.39 ((~v130(constB133)) | (~v139(constB133))),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36803, 36802])).
% 9.87/7.39 tff(36805,plain,
% 9.87/7.39 ((~(v155(constB133) <=> (~((~v130(constB133)) | (~v139(constB133)))))) | (~v155(constB133)) | (~((~v130(constB133)) | (~v139(constB133))))),
% 9.87/7.39 inference(tautology,[status(thm)],[])).
% 9.87/7.39 tff(36806,plain,
% 9.87/7.39 (~v155(constB133)),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36805, 36804, 36740])).
% 9.87/7.39 tff(36807,plain,
% 9.87/7.39 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB133) <=> (~((~v132(constB133)) | (~v154(constB133)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB133) <=> (~((~v132(constB133)) | (~v154(constB133))))))),
% 9.87/7.39 inference(rewrite,[status(thm)],[])).
% 9.87/7.39 tff(36808,plain,
% 9.87/7.39 ((v153(constB133) <=> (~((~v154(constB133)) | (~v132(constB133))))) <=> (v153(constB133) <=> (~((~v132(constB133)) | (~v154(constB133)))))),
% 9.87/7.39 inference(rewrite,[status(thm)],[])).
% 9.87/7.39 tff(36809,plain,
% 9.87/7.39 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB133) <=> (~((~v154(constB133)) | (~v132(constB133)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB133) <=> (~((~v132(constB133)) | (~v154(constB133))))))),
% 9.87/7.39 inference(monotonicity,[status(thm)],[36808])).
% 9.87/7.39 tff(36810,plain,
% 9.87/7.39 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB133) <=> (~((~v154(constB133)) | (~v132(constB133)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB133) <=> (~((~v132(constB133)) | (~v154(constB133))))))),
% 9.87/7.39 inference(transitivity,[status(thm)],[36809, 36807])).
% 9.87/7.39 tff(36811,plain,
% 9.87/7.39 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB133) <=> (~((~v154(constB133)) | (~v132(constB133)))))),
% 9.87/7.39 inference(quant_inst,[status(thm)],[])).
% 9.87/7.39 tff(36812,plain,
% 9.87/7.39 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB133) <=> (~((~v132(constB133)) | (~v154(constB133)))))),
% 9.87/7.39 inference(modus_ponens,[status(thm)],[36811, 36810])).
% 9.87/7.39 tff(36813,plain,
% 9.87/7.39 (v153(constB133) <=> (~((~v132(constB133)) | (~v154(constB133))))),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36812, 399])).
% 9.87/7.39 tff(36814,plain,
% 9.87/7.39 ((~![VarNext: $i] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB133) <=> v137(constB133))),
% 9.87/7.39 inference(quant_inst,[status(thm)],[])).
% 9.87/7.39 tff(36815,plain,
% 9.87/7.39 (v132(constB133) <=> v137(constB133)),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36814, 558])).
% 9.87/7.39 tff(36816,plain,
% 9.87/7.39 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB132, constB133)) | (v137(constB133) <=> v135(constB132)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB132, constB133)) | (v137(constB133) <=> v135(constB132)))),
% 9.87/7.39 inference(rewrite,[status(thm)],[])).
% 9.87/7.39 tff(36817,plain,
% 9.87/7.39 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB132, constB133)) | (v137(constB133) <=> v135(constB132)))),
% 9.87/7.39 inference(quant_inst,[status(thm)],[])).
% 9.87/7.39 tff(36818,plain,
% 9.87/7.39 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB132, constB133)) | (v137(constB133) <=> v135(constB132))),
% 9.87/7.39 inference(modus_ponens,[status(thm)],[36817, 36816])).
% 9.87/7.39 tff(36819,plain,
% 9.87/7.39 (v137(constB133) <=> v135(constB132)),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36818, 3709, 570])).
% 9.87/7.39 tff(36820,plain,
% 9.87/7.39 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB132) <=> (v138(constB132) | v142(constB132)))),
% 9.87/7.39 inference(quant_inst,[status(thm)],[])).
% 9.87/7.39 tff(36821,plain,
% 9.87/7.39 (v135(constB132) <=> (v138(constB132) | v142(constB132))),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36820, 584])).
% 9.87/7.39 tff(36822,plain,
% 9.87/7.39 ((~![VarCurr: $i] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB132) <=> (~((~v143(constB132)) | (~v144(constB132)))))),
% 9.87/7.39 inference(quant_inst,[status(thm)],[])).
% 9.87/7.39 tff(36823,plain,
% 9.87/7.39 (v142(constB132) <=> (~((~v143(constB132)) | (~v144(constB132))))),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36822, 596])).
% 9.87/7.39 tff(36824,plain,
% 9.87/7.39 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB132) <=> (~((~v141(constB132)) | (~v145(constB132)))))),
% 9.87/7.39 inference(quant_inst,[status(thm)],[])).
% 9.87/7.39 tff(36825,plain,
% 9.87/7.39 (v144(constB132) <=> (~((~v141(constB132)) | (~v145(constB132))))),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36824, 608])).
% 9.87/7.39 tff(36826,plain,
% 9.87/7.39 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB132) <=> (~((~v39(constB132)) | (~v9(constB132)))))),
% 9.87/7.39 inference(quant_inst,[status(thm)],[])).
% 9.87/7.39 tff(36827,plain,
% 9.87/7.39 (v141(constB132) <=> (~((~v39(constB132)) | (~v9(constB132))))),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36826, 130])).
% 9.87/7.39 tff(36828,plain,
% 9.87/7.39 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB132)) <=> v1(constB132))),
% 9.87/7.39 inference(quant_inst,[status(thm)],[])).
% 9.87/7.39 tff(36829,plain,
% 9.87/7.39 ((~v39(constB132)) <=> v1(constB132)),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36828, 139])).
% 9.87/7.39 tff(36830,plain,
% 9.87/7.39 ((~((~v39(constB132)) <=> v1(constB132))) | (~v39(constB132)) | (~v1(constB132))),
% 9.87/7.39 inference(tautology,[status(thm)],[])).
% 9.87/7.39 tff(36831,plain,
% 9.87/7.39 ((~((~v39(constB132)) <=> v1(constB132))) | (~v39(constB132))),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36830, 3771])).
% 9.87/7.39 tff(36832,plain,
% 9.87/7.39 (~v39(constB132)),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36831, 36829])).
% 9.87/7.39 tff(36833,plain,
% 9.87/7.39 (((~v39(constB132)) | (~v9(constB132))) | v39(constB132)),
% 9.87/7.39 inference(tautology,[status(thm)],[])).
% 9.87/7.39 tff(36834,plain,
% 9.87/7.39 ((~v39(constB132)) | (~v9(constB132))),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36833, 36832])).
% 9.87/7.39 tff(36835,plain,
% 9.87/7.39 ((~(v141(constB132) <=> (~((~v39(constB132)) | (~v9(constB132)))))) | (~v141(constB132)) | (~((~v39(constB132)) | (~v9(constB132))))),
% 9.87/7.39 inference(tautology,[status(thm)],[])).
% 9.87/7.39 tff(36836,plain,
% 9.87/7.39 ((~(v141(constB132) <=> (~((~v39(constB132)) | (~v9(constB132)))))) | (~v141(constB132))),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36835, 36834])).
% 9.87/7.39 tff(36837,plain,
% 9.87/7.39 (~v141(constB132)),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36836, 36827])).
% 9.87/7.39 tff(36838,plain,
% 9.87/7.39 (((~v141(constB132)) | (~v145(constB132))) | v141(constB132)),
% 9.87/7.39 inference(tautology,[status(thm)],[])).
% 9.87/7.39 tff(36839,plain,
% 9.87/7.39 ((~v141(constB132)) | (~v145(constB132))),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36838, 36837])).
% 9.87/7.39 tff(36840,plain,
% 9.87/7.39 ((~(v144(constB132) <=> (~((~v141(constB132)) | (~v145(constB132)))))) | (~v144(constB132)) | (~((~v141(constB132)) | (~v145(constB132))))),
% 9.87/7.39 inference(tautology,[status(thm)],[])).
% 9.87/7.39 tff(36841,plain,
% 9.87/7.39 ((~(v144(constB132) <=> (~((~v141(constB132)) | (~v145(constB132)))))) | (~v144(constB132))),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36840, 36839])).
% 9.87/7.39 tff(36842,plain,
% 9.87/7.39 (~v144(constB132)),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36841, 36825])).
% 9.87/7.39 tff(36843,plain,
% 9.87/7.39 (((~v143(constB132)) | (~v144(constB132))) | v144(constB132)),
% 9.87/7.39 inference(tautology,[status(thm)],[])).
% 9.87/7.39 tff(36844,plain,
% 9.87/7.39 ((~v143(constB132)) | (~v144(constB132))),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36843, 36842])).
% 9.87/7.39 tff(36845,plain,
% 9.87/7.39 ((~(v142(constB132) <=> (~((~v143(constB132)) | (~v144(constB132)))))) | (~v142(constB132)) | (~((~v143(constB132)) | (~v144(constB132))))),
% 9.87/7.39 inference(tautology,[status(thm)],[])).
% 9.87/7.39 tff(36846,plain,
% 9.87/7.39 (~v142(constB132)),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36845, 36844, 36823])).
% 9.87/7.39 tff(36847,plain,
% 9.87/7.39 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB132) <=> (~((~v132(constB132)) | (~v139(constB132)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB132) <=> (~((~v132(constB132)) | (~v139(constB132))))))),
% 9.87/7.39 inference(rewrite,[status(thm)],[])).
% 9.87/7.39 tff(36848,plain,
% 9.87/7.39 ((v138(constB132) <=> (~((~v139(constB132)) | (~v132(constB132))))) <=> (v138(constB132) <=> (~((~v132(constB132)) | (~v139(constB132)))))),
% 9.87/7.39 inference(rewrite,[status(thm)],[])).
% 9.87/7.39 tff(36849,plain,
% 9.87/7.39 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB132) <=> (~((~v139(constB132)) | (~v132(constB132)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB132) <=> (~((~v132(constB132)) | (~v139(constB132))))))),
% 9.87/7.39 inference(monotonicity,[status(thm)],[36848])).
% 9.87/7.39 tff(36850,plain,
% 9.87/7.39 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB132) <=> (~((~v139(constB132)) | (~v132(constB132)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB132) <=> (~((~v132(constB132)) | (~v139(constB132))))))),
% 9.87/7.39 inference(transitivity,[status(thm)],[36849, 36847])).
% 9.87/7.39 tff(36851,plain,
% 9.87/7.39 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB132) <=> (~((~v139(constB132)) | (~v132(constB132)))))),
% 9.87/7.39 inference(quant_inst,[status(thm)],[])).
% 9.87/7.39 tff(36852,plain,
% 9.87/7.39 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB132) <=> (~((~v132(constB132)) | (~v139(constB132)))))),
% 9.87/7.39 inference(modus_ponens,[status(thm)],[36851, 36850])).
% 9.87/7.39 tff(36853,plain,
% 9.87/7.39 (v138(constB132) <=> (~((~v132(constB132)) | (~v139(constB132))))),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36852, 644])).
% 9.87/7.39 tff(36854,plain,
% 9.87/7.39 ((~![VarNext: $i] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB132) <=> v137(constB132))),
% 9.87/7.39 inference(quant_inst,[status(thm)],[])).
% 9.87/7.39 tff(36855,plain,
% 9.87/7.39 (v132(constB132) <=> v137(constB132)),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36854, 558])).
% 9.87/7.39 tff(36856,plain,
% 9.87/7.39 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB131, constB132)) | (v137(constB132) <=> v135(constB131)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB131, constB132)) | (v137(constB132) <=> v135(constB131)))),
% 9.87/7.39 inference(rewrite,[status(thm)],[])).
% 9.87/7.39 tff(36857,plain,
% 9.87/7.39 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB131, constB132)) | (v137(constB132) <=> v135(constB131)))),
% 9.87/7.39 inference(quant_inst,[status(thm)],[])).
% 9.87/7.39 tff(36858,plain,
% 9.87/7.39 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB131, constB132)) | (v137(constB132) <=> v135(constB131))),
% 9.87/7.39 inference(modus_ponens,[status(thm)],[36857, 36856])).
% 9.87/7.39 tff(36859,plain,
% 9.87/7.39 (v137(constB132) <=> v135(constB131)),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36858, 3741, 570])).
% 9.87/7.39 tff(36860,plain,
% 9.87/7.39 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB131) <=> (v138(constB131) | v142(constB131)))),
% 9.87/7.39 inference(quant_inst,[status(thm)],[])).
% 9.87/7.39 tff(36861,plain,
% 9.87/7.39 (v135(constB131) <=> (v138(constB131) | v142(constB131))),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36860, 584])).
% 9.87/7.39 tff(36862,plain,
% 9.87/7.39 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB131) <=> (~((~v132(constB131)) | (~v139(constB131)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB131) <=> (~((~v132(constB131)) | (~v139(constB131))))))),
% 9.87/7.39 inference(rewrite,[status(thm)],[])).
% 9.87/7.39 tff(36863,plain,
% 9.87/7.39 ((v138(constB131) <=> (~((~v139(constB131)) | (~v132(constB131))))) <=> (v138(constB131) <=> (~((~v132(constB131)) | (~v139(constB131)))))),
% 9.87/7.39 inference(rewrite,[status(thm)],[])).
% 9.87/7.39 tff(36864,plain,
% 9.87/7.39 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB131) <=> (~((~v139(constB131)) | (~v132(constB131)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB131) <=> (~((~v132(constB131)) | (~v139(constB131))))))),
% 9.87/7.39 inference(monotonicity,[status(thm)],[36863])).
% 9.87/7.39 tff(36865,plain,
% 9.87/7.39 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB131) <=> (~((~v139(constB131)) | (~v132(constB131)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB131) <=> (~((~v132(constB131)) | (~v139(constB131))))))),
% 9.87/7.39 inference(transitivity,[status(thm)],[36864, 36862])).
% 9.87/7.39 tff(36866,plain,
% 9.87/7.39 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB131) <=> (~((~v139(constB131)) | (~v132(constB131)))))),
% 9.87/7.39 inference(quant_inst,[status(thm)],[])).
% 9.87/7.39 tff(36867,plain,
% 9.87/7.39 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB131) <=> (~((~v132(constB131)) | (~v139(constB131)))))),
% 9.87/7.39 inference(modus_ponens,[status(thm)],[36866, 36865])).
% 9.87/7.39 tff(36868,plain,
% 9.87/7.39 (v138(constB131) <=> (~((~v132(constB131)) | (~v139(constB131))))),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36867, 644])).
% 9.87/7.39 tff(36869,plain,
% 9.87/7.39 ((~![VarCurr: $i] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB131)) <=> v140(constB131))),
% 9.87/7.39 inference(quant_inst,[status(thm)],[])).
% 9.87/7.39 tff(36870,plain,
% 9.87/7.39 ((~v139(constB131)) <=> v140(constB131)),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36869, 203])).
% 9.87/7.39 tff(36871,plain,
% 9.87/7.39 ((~![VarCurr: $i] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB131) <=> (v141(constB131) | v26(constB131)))),
% 9.87/7.39 inference(quant_inst,[status(thm)],[])).
% 9.87/7.39 tff(36872,plain,
% 9.87/7.39 (v140(constB131) <=> (v141(constB131) | v26(constB131))),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36871, 212])).
% 9.87/7.39 tff(36873,plain,
% 9.87/7.39 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB131) <=> (~((~v39(constB131)) | (~v9(constB131)))))),
% 9.87/7.39 inference(quant_inst,[status(thm)],[])).
% 9.87/7.39 tff(36874,plain,
% 9.87/7.39 (v141(constB131) <=> (~((~v39(constB131)) | (~v9(constB131))))),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36873, 130])).
% 9.87/7.39 tff(36875,plain,
% 9.87/7.39 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB131, constB132)) | (v13(constB132) <=> v9(constB131)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB131, constB132)) | (v13(constB132) <=> v9(constB131)))),
% 9.87/7.39 inference(rewrite,[status(thm)],[])).
% 9.87/7.39 tff(36876,plain,
% 9.87/7.39 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB131, constB132)) | (v13(constB132) <=> v9(constB131)))),
% 9.87/7.39 inference(quant_inst,[status(thm)],[])).
% 9.87/7.39 tff(36877,plain,
% 9.87/7.39 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB131, constB132)) | (v13(constB132) <=> v9(constB131))),
% 9.87/7.39 inference(modus_ponens,[status(thm)],[36876, 36875])).
% 9.87/7.39 tff(36878,plain,
% 9.87/7.39 (v13(constB132) <=> v9(constB131)),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36877, 3741, 226])).
% 9.87/7.39 tff(36879,plain,
% 9.87/7.39 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB132) <=> v13(constB132))),
% 9.87/7.39 inference(quant_inst,[status(thm)],[])).
% 9.87/7.39 tff(36880,plain,
% 9.87/7.39 (v6(constB132) <=> v13(constB132)),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36879, 240])).
% 9.87/7.39 tff(36881,plain,
% 9.87/7.39 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB132)) <=> v6(constB132))),
% 9.87/7.39 inference(quant_inst,[status(thm)],[])).
% 9.87/7.39 tff(36882,plain,
% 9.87/7.39 ((~v21(constB132)) <=> v6(constB132)),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36881, 249])).
% 9.87/7.39 tff(36883,plain,
% 9.87/7.39 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB132) <=> (v20(constB132) | v21(constB132)))),
% 9.87/7.39 inference(quant_inst,[status(thm)],[])).
% 9.87/7.39 tff(36884,plain,
% 9.87/7.39 (v19(constB132) <=> (v20(constB132) | v21(constB132))),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36883, 258])).
% 9.87/7.39 tff(36885,plain,
% 9.87/7.39 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB132) <=> (~((~v19(constB132)) | (~v22(constB132)))))),
% 9.87/7.39 inference(quant_inst,[status(thm)],[])).
% 9.87/7.39 tff(36886,plain,
% 9.87/7.39 (v18(constB132) <=> (~((~v19(constB132)) | (~v22(constB132))))),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36885, 270])).
% 9.87/7.39 tff(36887,plain,
% 9.87/7.39 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB132)) <=> v18(constB132))),
% 9.87/7.39 inference(quant_inst,[status(thm)],[])).
% 9.87/7.39 tff(36888,plain,
% 9.87/7.39 ((~v4(constB132)) <=> v18(constB132)),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36887, 279])).
% 9.87/7.39 tff(36889,plain,
% 9.87/7.39 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB132)),
% 9.87/7.39 inference(quant_inst,[status(thm)],[])).
% 9.87/7.39 tff(36890,plain,
% 9.87/7.39 (v4(constB132)),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36889, 288])).
% 9.87/7.39 tff(36891,plain,
% 9.87/7.39 ((~((~v4(constB132)) <=> v18(constB132))) | (~v4(constB132)) | (~v18(constB132))),
% 9.87/7.39 inference(tautology,[status(thm)],[])).
% 9.87/7.39 tff(36892,plain,
% 9.87/7.39 (~v18(constB132)),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36891, 36890, 36888])).
% 9.87/7.39 tff(36893,plain,
% 9.87/7.39 ((~(v18(constB132) <=> (~((~v19(constB132)) | (~v22(constB132)))))) | v18(constB132) | ((~v19(constB132)) | (~v22(constB132)))),
% 9.87/7.39 inference(tautology,[status(thm)],[])).
% 9.87/7.39 tff(36894,plain,
% 9.87/7.39 ((~v19(constB132)) | (~v22(constB132))),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36893, 36892, 36886])).
% 9.87/7.39 tff(36895,plain,
% 9.87/7.39 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB132) <=> (v1(constB132) | v6(constB132)))),
% 9.87/7.39 inference(quant_inst,[status(thm)],[])).
% 9.87/7.39 tff(36896,plain,
% 9.87/7.39 (v22(constB132) <=> (v1(constB132) | v6(constB132))),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36895, 301])).
% 9.87/7.39 tff(36897,plain,
% 9.87/7.39 ((v1(constB132) | v6(constB132)) | (~v1(constB132))),
% 9.87/7.39 inference(tautology,[status(thm)],[])).
% 9.87/7.39 tff(36898,plain,
% 9.87/7.39 (v1(constB132) | v6(constB132)),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36897, 3771])).
% 9.87/7.39 tff(36899,plain,
% 9.87/7.39 ((~(v22(constB132) <=> (v1(constB132) | v6(constB132)))) | v22(constB132) | (~(v1(constB132) | v6(constB132)))),
% 9.87/7.39 inference(tautology,[status(thm)],[])).
% 9.87/7.39 tff(36900,plain,
% 9.87/7.39 ((~(v22(constB132) <=> (v1(constB132) | v6(constB132)))) | v22(constB132)),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36899, 36898])).
% 9.87/7.39 tff(36901,plain,
% 9.87/7.39 (v22(constB132)),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36900, 36896])).
% 9.87/7.39 tff(36902,plain,
% 9.87/7.39 ((~((~v19(constB132)) | (~v22(constB132)))) | (~v19(constB132)) | (~v22(constB132))),
% 9.87/7.39 inference(tautology,[status(thm)],[])).
% 9.87/7.39 tff(36903,plain,
% 9.87/7.39 ((~((~v19(constB132)) | (~v22(constB132)))) | (~v19(constB132))),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36902, 36901])).
% 9.87/7.39 tff(36904,plain,
% 9.87/7.39 (~v19(constB132)),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36903, 36894])).
% 9.87/7.39 tff(36905,plain,
% 9.87/7.39 ((~(v19(constB132) <=> (v20(constB132) | v21(constB132)))) | v19(constB132) | (~(v20(constB132) | v21(constB132)))),
% 9.87/7.39 inference(tautology,[status(thm)],[])).
% 9.87/7.39 tff(36906,plain,
% 9.87/7.39 (~(v20(constB132) | v21(constB132))),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36905, 36904, 36884])).
% 9.87/7.39 tff(36907,plain,
% 9.87/7.39 ((v20(constB132) | v21(constB132)) | (~v21(constB132))),
% 9.87/7.39 inference(tautology,[status(thm)],[])).
% 9.87/7.39 tff(36908,plain,
% 9.87/7.39 (~v21(constB132)),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36907, 36906])).
% 9.87/7.39 tff(36909,plain,
% 9.87/7.39 ((~((~v21(constB132)) <=> v6(constB132))) | v21(constB132) | v6(constB132)),
% 9.87/7.39 inference(tautology,[status(thm)],[])).
% 9.87/7.39 tff(36910,plain,
% 9.87/7.39 (v6(constB132)),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36909, 36908, 36882])).
% 9.87/7.39 tff(36911,plain,
% 9.87/7.39 ((~(v6(constB132) <=> v13(constB132))) | (~v6(constB132)) | v13(constB132)),
% 9.87/7.39 inference(tautology,[status(thm)],[])).
% 9.87/7.39 tff(36912,plain,
% 9.87/7.39 (v13(constB132)),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36911, 36910, 36880])).
% 9.87/7.39 tff(36913,plain,
% 9.87/7.39 ((~(v13(constB132) <=> v9(constB131))) | (~v13(constB132)) | v9(constB131)),
% 9.87/7.39 inference(tautology,[status(thm)],[])).
% 9.87/7.39 tff(36914,plain,
% 9.87/7.39 (v9(constB131)),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36913, 36912, 36878])).
% 9.87/7.39 tff(36915,plain,
% 9.87/7.39 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB131)) <=> v1(constB131))),
% 9.87/7.39 inference(quant_inst,[status(thm)],[])).
% 9.87/7.39 tff(36916,plain,
% 9.87/7.39 ((~v39(constB131)) <=> v1(constB131)),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36915, 139])).
% 9.87/7.39 tff(36917,plain,
% 9.87/7.39 ((~((~v39(constB131)) <=> v1(constB131))) | v39(constB131) | v1(constB131)),
% 9.87/7.39 inference(tautology,[status(thm)],[])).
% 9.87/7.39 tff(36918,plain,
% 9.87/7.39 ((~((~v39(constB131)) <=> v1(constB131))) | v39(constB131)),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36917, 3763])).
% 9.87/7.39 tff(36919,plain,
% 9.87/7.39 (v39(constB131)),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36918, 36916])).
% 9.87/7.39 tff(36920,plain,
% 9.87/7.39 ((~((~v39(constB131)) | (~v9(constB131)))) | (~v39(constB131)) | (~v9(constB131))),
% 9.87/7.39 inference(tautology,[status(thm)],[])).
% 9.87/7.39 tff(36921,plain,
% 9.87/7.39 ((~((~v39(constB131)) | (~v9(constB131)))) | (~v9(constB131))),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36920, 36919])).
% 9.87/7.39 tff(36922,plain,
% 9.87/7.39 (~((~v39(constB131)) | (~v9(constB131)))),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36921, 36914])).
% 9.87/7.39 tff(36923,plain,
% 9.87/7.39 ((~(v141(constB131) <=> (~((~v39(constB131)) | (~v9(constB131)))))) | v141(constB131) | ((~v39(constB131)) | (~v9(constB131)))),
% 9.87/7.39 inference(tautology,[status(thm)],[])).
% 9.87/7.39 tff(36924,plain,
% 9.87/7.39 (v141(constB131)),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36923, 36922, 36874])).
% 9.87/7.39 tff(36925,plain,
% 9.87/7.39 ((v141(constB131) | v26(constB131)) | (~v141(constB131))),
% 9.87/7.39 inference(tautology,[status(thm)],[])).
% 9.87/7.39 tff(36926,plain,
% 9.87/7.39 (v141(constB131) | v26(constB131)),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36925, 36924])).
% 9.87/7.39 tff(36927,plain,
% 9.87/7.39 ((~(v140(constB131) <=> (v141(constB131) | v26(constB131)))) | v140(constB131) | (~(v141(constB131) | v26(constB131)))),
% 9.87/7.39 inference(tautology,[status(thm)],[])).
% 9.87/7.39 tff(36928,plain,
% 9.87/7.39 (v140(constB131)),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36927, 36926, 36872])).
% 9.87/7.39 tff(36929,plain,
% 9.87/7.39 ((~((~v139(constB131)) <=> v140(constB131))) | (~v139(constB131)) | (~v140(constB131))),
% 9.87/7.39 inference(tautology,[status(thm)],[])).
% 9.87/7.39 tff(36930,plain,
% 9.87/7.39 (~v139(constB131)),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36929, 36928, 36870])).
% 9.87/7.39 tff(36931,plain,
% 9.87/7.39 (((~v132(constB131)) | (~v139(constB131))) | v139(constB131)),
% 9.87/7.39 inference(tautology,[status(thm)],[])).
% 9.87/7.39 tff(36932,plain,
% 9.87/7.39 ((~v132(constB131)) | (~v139(constB131))),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36931, 36930])).
% 9.87/7.39 tff(36933,plain,
% 9.87/7.39 ((~(v138(constB131) <=> (~((~v132(constB131)) | (~v139(constB131)))))) | (~v138(constB131)) | (~((~v132(constB131)) | (~v139(constB131))))),
% 9.87/7.39 inference(tautology,[status(thm)],[])).
% 9.87/7.39 tff(36934,plain,
% 9.87/7.39 (~v138(constB131)),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36933, 36932, 36868])).
% 9.87/7.39 tff(36935,plain,
% 9.87/7.39 ((~![VarCurr: $i] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB131) <=> (~((~v143(constB131)) | (~v144(constB131)))))),
% 9.87/7.39 inference(quant_inst,[status(thm)],[])).
% 9.87/7.39 tff(36936,plain,
% 9.87/7.39 (v142(constB131) <=> (~((~v143(constB131)) | (~v144(constB131))))),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36935, 596])).
% 9.87/7.39 tff(36937,plain,
% 9.87/7.39 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB131) <=> (~((~v141(constB131)) | (~v145(constB131)))))),
% 9.87/7.39 inference(quant_inst,[status(thm)],[])).
% 9.87/7.39 tff(36938,plain,
% 9.87/7.39 (v144(constB131) <=> (~((~v141(constB131)) | (~v145(constB131))))),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36937, 608])).
% 9.87/7.39 tff(36939,plain,
% 9.87/7.39 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB131) <=> (~(v84(constB131, bitIndex2) | v84(constB131, bitIndex1) | (~v84(constB131, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB131) <=> (~(v84(constB131, bitIndex2) | v84(constB131, bitIndex1) | (~v84(constB131, bitIndex0))))))),
% 9.87/7.39 inference(rewrite,[status(thm)],[])).
% 9.87/7.39 tff(36940,plain,
% 9.87/7.39 ((v145(constB131) <=> (~(v84(constB131, bitIndex1) | v84(constB131, bitIndex2) | (~v84(constB131, bitIndex0))))) <=> (v145(constB131) <=> (~(v84(constB131, bitIndex2) | v84(constB131, bitIndex1) | (~v84(constB131, bitIndex0)))))),
% 9.87/7.39 inference(rewrite,[status(thm)],[])).
% 9.87/7.39 tff(36941,plain,
% 9.87/7.39 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB131) <=> (~(v84(constB131, bitIndex1) | v84(constB131, bitIndex2) | (~v84(constB131, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB131) <=> (~(v84(constB131, bitIndex2) | v84(constB131, bitIndex1) | (~v84(constB131, bitIndex0))))))),
% 9.87/7.39 inference(monotonicity,[status(thm)],[36940])).
% 9.87/7.39 tff(36942,plain,
% 9.87/7.39 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB131) <=> (~(v84(constB131, bitIndex1) | v84(constB131, bitIndex2) | (~v84(constB131, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB131) <=> (~(v84(constB131, bitIndex2) | v84(constB131, bitIndex1) | (~v84(constB131, bitIndex0))))))),
% 9.87/7.39 inference(transitivity,[status(thm)],[36941, 36939])).
% 9.87/7.39 tff(36943,plain,
% 9.87/7.39 ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB131) <=> (~(v84(constB131, bitIndex1) | v84(constB131, bitIndex2) | (~v84(constB131, bitIndex0)))))),
% 9.87/7.39 inference(quant_inst,[status(thm)],[])).
% 9.87/7.39 tff(36944,plain,
% 9.87/7.39 ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB131) <=> (~(v84(constB131, bitIndex2) | v84(constB131, bitIndex1) | (~v84(constB131, bitIndex0)))))),
% 9.87/7.39 inference(modus_ponens,[status(thm)],[36943, 36942])).
% 9.87/7.39 tff(36945,plain,
% 9.87/7.39 (v145(constB131) <=> (~(v84(constB131, bitIndex2) | v84(constB131, bitIndex1) | (~v84(constB131, bitIndex0))))),
% 9.87/7.39 inference(unit_resolution,[status(thm)],[36944, 755])).
% 9.87/7.39 tff(36946,plain,
% 9.87/7.39 ((v84(constB131, bitIndex2) | v84(constB131, bitIndex1) | (~v84(constB131, bitIndex0))) | (~v84(constB131, bitIndex2))),
% 9.87/7.39 inference(tautology,[status(thm)],[])).
% 9.87/7.40 tff(36947,plain,
% 9.87/7.40 (v84(constB131, bitIndex2) | v84(constB131, bitIndex1) | (~v84(constB131, bitIndex0))),
% 9.87/7.40 inference(unit_resolution,[status(thm)],[36946, 20454])).
% 9.87/7.40 tff(36948,plain,
% 9.87/7.40 ((~(v145(constB131) <=> (~(v84(constB131, bitIndex2) | v84(constB131, bitIndex1) | (~v84(constB131, bitIndex0)))))) | (~v145(constB131)) | (~(v84(constB131, bitIndex2) | v84(constB131, bitIndex1) | (~v84(constB131, bitIndex0))))),
% 9.87/7.40 inference(tautology,[status(thm)],[])).
% 9.87/7.40 tff(36949,plain,
% 9.87/7.40 (~v145(constB131)),
% 9.87/7.40 inference(unit_resolution,[status(thm)],[36948, 36947, 36945])).
% 9.87/7.40 tff(36950,plain,
% 9.87/7.40 (((~v141(constB131)) | (~v145(constB131))) | v145(constB131)),
% 9.87/7.40 inference(tautology,[status(thm)],[])).
% 9.87/7.40 tff(36951,plain,
% 9.87/7.40 ((~v141(constB131)) | (~v145(constB131))),
% 9.87/7.40 inference(unit_resolution,[status(thm)],[36950, 36949])).
% 9.87/7.40 tff(36952,plain,
% 9.87/7.40 ((~(v144(constB131) <=> (~((~v141(constB131)) | (~v145(constB131)))))) | (~v144(constB131)) | (~((~v141(constB131)) | (~v145(constB131))))),
% 9.87/7.40 inference(tautology,[status(thm)],[])).
% 9.87/7.40 tff(36953,plain,
% 9.87/7.40 (~v144(constB131)),
% 9.87/7.40 inference(unit_resolution,[status(thm)],[36952, 36951, 36938])).
% 9.87/7.40 tff(36954,plain,
% 9.87/7.40 (((~v143(constB131)) | (~v144(constB131))) | v144(constB131)),
% 9.87/7.40 inference(tautology,[status(thm)],[])).
% 9.87/7.40 tff(36955,plain,
% 9.87/7.40 ((~v143(constB131)) | (~v144(constB131))),
% 9.87/7.40 inference(unit_resolution,[status(thm)],[36954, 36953])).
% 9.87/7.40 tff(36956,plain,
% 9.87/7.40 ((~(v142(constB131) <=> (~((~v143(constB131)) | (~v144(constB131)))))) | (~v142(constB131)) | (~((~v143(constB131)) | (~v144(constB131))))),
% 9.87/7.40 inference(tautology,[status(thm)],[])).
% 9.87/7.40 tff(36957,plain,
% 9.87/7.40 (~v142(constB131)),
% 9.87/7.40 inference(unit_resolution,[status(thm)],[36956, 36955, 36936])).
% 9.87/7.40 tff(36958,plain,
% 9.87/7.40 ((~(v138(constB131) | v142(constB131))) | v138(constB131) | v142(constB131)),
% 9.87/7.40 inference(tautology,[status(thm)],[])).
% 9.87/7.40 tff(36959,plain,
% 9.87/7.40 (~(v138(constB131) | v142(constB131))),
% 9.87/7.40 inference(unit_resolution,[status(thm)],[36958, 36957, 36934])).
% 9.87/7.40 tff(36960,plain,
% 9.87/7.40 ((~(v135(constB131) <=> (v138(constB131) | v142(constB131)))) | (~v135(constB131)) | (v138(constB131) | v142(constB131))),
% 9.87/7.40 inference(tautology,[status(thm)],[])).
% 9.87/7.40 tff(36961,plain,
% 9.87/7.40 (~v135(constB131)),
% 9.87/7.40 inference(unit_resolution,[status(thm)],[36960, 36959, 36861])).
% 9.87/7.40 tff(36962,plain,
% 9.87/7.40 ((~(v137(constB132) <=> v135(constB131))) | (~v137(constB132)) | v135(constB131)),
% 9.87/7.40 inference(tautology,[status(thm)],[])).
% 9.87/7.40 tff(36963,plain,
% 9.87/7.40 (~v137(constB132)),
% 9.87/7.40 inference(unit_resolution,[status(thm)],[36962, 36961, 36859])).
% 9.87/7.40 tff(36964,plain,
% 9.87/7.40 ((~(v132(constB132) <=> v137(constB132))) | (~v132(constB132)) | v137(constB132)),
% 9.87/7.40 inference(tautology,[status(thm)],[])).
% 9.87/7.40 tff(36965,plain,
% 9.87/7.40 (~v132(constB132)),
% 9.87/7.40 inference(unit_resolution,[status(thm)],[36964, 36963, 36855])).
% 9.87/7.40 tff(36966,plain,
% 9.87/7.40 (((~v132(constB132)) | (~v139(constB132))) | v132(constB132)),
% 9.87/7.40 inference(tautology,[status(thm)],[])).
% 9.87/7.40 tff(36967,plain,
% 9.87/7.40 ((~v132(constB132)) | (~v139(constB132))),
% 9.87/7.40 inference(unit_resolution,[status(thm)],[36966, 36965])).
% 9.87/7.40 tff(36968,plain,
% 9.87/7.40 ((~(v138(constB132) <=> (~((~v132(constB132)) | (~v139(constB132)))))) | (~v138(constB132)) | (~((~v132(constB132)) | (~v139(constB132))))),
% 9.87/7.40 inference(tautology,[status(thm)],[])).
% 9.87/7.40 tff(36969,plain,
% 9.87/7.40 (~v138(constB132)),
% 9.87/7.40 inference(unit_resolution,[status(thm)],[36968, 36967, 36853])).
% 9.87/7.40 tff(36970,plain,
% 9.87/7.40 ((~(v138(constB132) | v142(constB132))) | v138(constB132) | v142(constB132)),
% 9.87/7.40 inference(tautology,[status(thm)],[])).
% 9.87/7.40 tff(36971,plain,
% 9.87/7.40 (~(v138(constB132) | v142(constB132))),
% 9.87/7.40 inference(unit_resolution,[status(thm)],[36970, 36969, 36846])).
% 9.87/7.40 tff(36972,plain,
% 9.87/7.40 ((~(v135(constB132) <=> (v138(constB132) | v142(constB132)))) | (~v135(constB132)) | (v138(constB132) | v142(constB132))),
% 9.87/7.40 inference(tautology,[status(thm)],[])).
% 9.87/7.40 tff(36973,plain,
% 9.87/7.40 (~v135(constB132)),
% 9.87/7.40 inference(unit_resolution,[status(thm)],[36972, 36971, 36821])).
% 9.87/7.40 tff(36974,plain,
% 9.87/7.40 ((~(v137(constB133) <=> v135(constB132))) | (~v137(constB133)) | v135(constB132)),
% 9.87/7.40 inference(tautology,[status(thm)],[])).
% 9.87/7.40 tff(36975,plain,
% 9.87/7.40 (~v137(constB133)),
% 9.87/7.40 inference(unit_resolution,[status(thm)],[36974, 36973, 36819])).
% 9.87/7.40 tff(36976,plain,
% 9.87/7.40 ((~(v132(constB133) <=> v137(constB133))) | (~v132(constB133)) | v137(constB133)),
% 9.87/7.40 inference(tautology,[status(thm)],[])).
% 9.87/7.40 tff(36977,plain,
% 9.87/7.40 (~v132(constB133)),
% 9.87/7.40 inference(unit_resolution,[status(thm)],[36976, 36975, 36815])).
% 9.87/7.40 tff(36978,plain,
% 9.87/7.40 (((~v132(constB133)) | (~v154(constB133))) | v132(constB133)),
% 9.87/7.40 inference(tautology,[status(thm)],[])).
% 9.87/7.40 tff(36979,plain,
% 9.87/7.40 ((~v132(constB133)) | (~v154(constB133))),
% 9.87/7.40 inference(unit_resolution,[status(thm)],[36978, 36977])).
% 9.87/7.40 tff(36980,plain,
% 9.87/7.40 ((~(v153(constB133) <=> (~((~v132(constB133)) | (~v154(constB133)))))) | (~v153(constB133)) | (~((~v132(constB133)) | (~v154(constB133))))),
% 9.87/7.40 inference(tautology,[status(thm)],[])).
% 9.87/7.40 tff(36981,plain,
% 9.87/7.40 (~v153(constB133)),
% 9.87/7.40 inference(unit_resolution,[status(thm)],[36980, 36979, 36813])).
% 9.87/7.40 tff(36982,plain,
% 9.87/7.40 ((~(v153(constB133) | v155(constB133))) | v153(constB133) | v155(constB133)),
% 9.87/7.40 inference(tautology,[status(thm)],[])).
% 9.87/7.40 tff(36983,plain,
% 9.87/7.40 (~(v153(constB133) | v155(constB133))),
% 9.87/7.40 inference(unit_resolution,[status(thm)],[36982, 36981, 36806])).
% 9.87/7.40 tff(36984,plain,
% 9.87/7.40 ((~(v150(constB133) <=> (v153(constB133) | v155(constB133)))) | (~v150(constB133)) | (v153(constB133) | v155(constB133))),
% 9.87/7.40 inference(tautology,[status(thm)],[])).
% 9.87/7.40 tff(36985,plain,
% 9.87/7.40 (~v150(constB133)),
% 9.87/7.40 inference(unit_resolution,[status(thm)],[36984, 36983, 36733])).
% 9.87/7.40 tff(36986,plain,
% 9.87/7.40 ((~(v152(constB134) <=> v150(constB133))) | (~v152(constB134)) | v150(constB133)),
% 9.87/7.40 inference(tautology,[status(thm)],[])).
% 9.87/7.40 tff(36987,plain,
% 9.87/7.40 (~v152(constB134)),
% 9.87/7.40 inference(unit_resolution,[status(thm)],[36986, 36985, 36731])).
% 9.87/7.40 tff(36988,plain,
% 9.87/7.40 ((~(v130(constB134) <=> v152(constB134))) | (~v130(constB134)) | v152(constB134)),
% 9.87/7.40 inference(tautology,[status(thm)],[])).
% 9.87/7.40 tff(36989,plain,
% 9.87/7.40 (~v130(constB134)),
% 9.87/7.40 inference(unit_resolution,[status(thm)],[36988, 36987, 36727])).
% 9.87/7.40 tff(36990,plain,
% 9.87/7.40 (((~v130(constB134)) | (~v139(constB134))) | v130(constB134)),
% 9.87/7.40 inference(tautology,[status(thm)],[])).
% 9.87/7.40 tff(36991,plain,
% 9.87/7.40 ((~v130(constB134)) | (~v139(constB134))),
% 9.87/7.40 inference(unit_resolution,[status(thm)],[36990, 36989])).
% 9.87/7.40 tff(36992,plain,
% 9.87/7.40 ((~(v155(constB134) <=> (~((~v130(constB134)) | (~v139(constB134)))))) | (~v155(constB134)) | (~((~v130(constB134)) | (~v139(constB134))))),
% 9.87/7.40 inference(tautology,[status(thm)],[])).
% 9.87/7.40 tff(36993,plain,
% 9.87/7.40 (~v155(constB134)),
% 9.87/7.40 inference(unit_resolution,[status(thm)],[36992, 36991, 36725])).
% 9.87/7.40 tff(36994,plain,
% 9.87/7.40 ((~(v153(constB134) | v155(constB134))) | v153(constB134) | v155(constB134)),
% 9.87/7.40 inference(tautology,[status(thm)],[])).
% 9.87/7.40 tff(36995,plain,
% 9.87/7.40 (~(v153(constB134) | v155(constB134))),
% 9.87/7.40 inference(unit_resolution,[status(thm)],[36994, 36993, 36718])).
% 9.87/7.40 tff(36996,plain,
% 9.87/7.40 ((~(v150(constB134) <=> (v153(constB134) | v155(constB134)))) | (~v150(constB134)) | (v153(constB134) | v155(constB134))),
% 9.87/7.40 inference(tautology,[status(thm)],[])).
% 9.87/7.40 tff(36997,plain,
% 9.87/7.40 (~v150(constB134)),
% 9.87/7.40 inference(unit_resolution,[status(thm)],[36996, 36995, 36683])).
% 9.87/7.40 tff(36998,plain,
% 9.87/7.40 ((~(v152(constB135) <=> v150(constB134))) | (~v152(constB135)) | v150(constB134)),
% 9.87/7.40 inference(tautology,[status(thm)],[])).
% 9.87/7.40 tff(36999,plain,
% 9.87/7.40 (~v152(constB135)),
% 9.87/7.40 inference(unit_resolution,[status(thm)],[36998, 36997, 36681])).
% 9.87/7.40 tff(37000,plain,
% 9.87/7.40 ((~(v130(constB135) <=> v152(constB135))) | (~v130(constB135)) | v152(constB135)),
% 9.87/7.40 inference(tautology,[status(thm)],[])).
% 9.87/7.40 tff(37001,plain,
% 9.87/7.40 (~v130(constB135)),
% 9.87/7.40 inference(unit_resolution,[status(thm)],[37000, 36999, 36677])).
% 9.87/7.40 tff(37002,plain,
% 9.87/7.40 (((~v130(constB135)) | (~v154(constB135))) | v130(constB135)),
% 9.87/7.40 inference(tautology,[status(thm)],[])).
% 9.87/7.40 tff(37003,plain,
% 9.87/7.40 ((~v130(constB135)) | (~v154(constB135))),
% 9.87/7.40 inference(unit_resolution,[status(thm)],[37002, 37001])).
% 9.87/7.40 tff(37004,plain,
% 9.87/7.40 ((~(v164(constB135) <=> (~((~v130(constB135)) | (~v154(constB135)))))) | (~v164(constB135)) | (~((~v130(constB135)) | (~v154(constB135))))),
% 9.87/7.40 inference(tautology,[status(thm)],[])).
% 9.87/7.40 tff(37005,plain,
% 9.87/7.40 (~v164(constB135)),
% 9.87/7.40 inference(unit_resolution,[status(thm)],[37004, 37003, 36675])).
% 9.87/7.40 tff(37006,plain,
% 9.87/7.40 ((~(v163(constB135) | v164(constB135))) | v163(constB135) | v164(constB135)),
% 9.87/7.40 inference(tautology,[status(thm)],[])).
% 9.87/7.40 tff(37007,plain,
% 9.87/7.40 (~(v163(constB135) | v164(constB135))),
% 9.87/7.40 inference(unit_resolution,[status(thm)],[37006, 37005, 36668])).
% 9.87/7.40 tff(37008,plain,
% 9.87/7.40 ((~(v160(constB135) <=> (v163(constB135) | v164(constB135)))) | (~v160(constB135)) | (v163(constB135) | v164(constB135))),
% 9.87/7.40 inference(tautology,[status(thm)],[])).
% 9.87/7.40 tff(37009,plain,
% 9.87/7.40 (~v160(constB135)),
% 9.87/7.40 inference(unit_resolution,[status(thm)],[37008, 37007, 36595])).
% 9.87/7.40 tff(37010,plain,
% 9.87/7.40 ((~(v162(constB136) <=> v160(constB135))) | (~v162(constB136)) | v160(constB135)),
% 9.87/7.40 inference(tautology,[status(thm)],[])).
% 9.87/7.40 tff(37011,plain,
% 9.87/7.40 (~v162(constB136)),
% 9.87/7.40 inference(unit_resolution,[status(thm)],[37010, 37009, 36593])).
% 9.87/7.40 tff(37012,plain,
% 9.87/7.40 ((~(v128(constB136) <=> v162(constB136))) | (~v128(constB136)) | v162(constB136)),
% 9.87/7.40 inference(tautology,[status(thm)],[])).
% 9.87/7.40 tff(37013,plain,
% 9.87/7.40 (~v128(constB136)),
% 9.87/7.40 inference(unit_resolution,[status(thm)],[37012, 37011, 36589])).
% 9.87/7.40 tff(37014,plain,
% 9.87/7.40 (((~v128(constB136)) | (~v139(constB136))) | v128(constB136)),
% 9.87/7.40 inference(tautology,[status(thm)],[])).
% 9.87/7.40 tff(37015,plain,
% 9.87/7.40 ((~v128(constB136)) | (~v139(constB136))),
% 9.87/7.40 inference(unit_resolution,[status(thm)],[37014, 37013])).
% 9.87/7.40 tff(37016,plain,
% 9.87/7.40 ((~(v163(constB136) <=> (~((~v128(constB136)) | (~v139(constB136)))))) | (~v163(constB136)) | (~((~v128(constB136)) | (~v139(constB136))))),
% 9.87/7.40 inference(tautology,[status(thm)],[])).
% 9.87/7.40 tff(37017,plain,
% 9.87/7.40 (~v163(constB136)),
% 9.87/7.40 inference(unit_resolution,[status(thm)],[37016, 37015, 36587])).
% 9.87/7.40 tff(37018,plain,
% 9.87/7.40 ((~(v163(constB136) | v164(constB136))) | v163(constB136) | v164(constB136)),
% 9.87/7.40 inference(tautology,[status(thm)],[])).
% 9.87/7.40 tff(37019,plain,
% 9.87/7.40 (~(v163(constB136) | v164(constB136))),
% 9.87/7.40 inference(unit_resolution,[status(thm)],[37018, 37017, 36580])).
% 9.87/7.40 tff(37020,plain,
% 9.87/7.40 ((~(v160(constB136) <=> (v163(constB136) | v164(constB136)))) | (~v160(constB136)) | (v163(constB136) | v164(constB136))),
% 9.87/7.40 inference(tautology,[status(thm)],[])).
% 9.87/7.40 tff(37021,plain,
% 9.87/7.40 (~v160(constB136)),
% 9.87/7.40 inference(unit_resolution,[status(thm)],[37020, 37019, 36545])).
% 9.87/7.40 tff(37022,plain,
% 9.87/7.40 ((~(v162(constB137) <=> v160(constB136))) | (~v162(constB137)) | v160(constB136)),
% 9.87/7.40 inference(tautology,[status(thm)],[])).
% 9.87/7.40 tff(37023,plain,
% 9.87/7.40 (~v162(constB137)),
% 9.87/7.40 inference(unit_resolution,[status(thm)],[37022, 37021, 36543])).
% 9.87/7.40 tff(37024,plain,
% 9.87/7.40 ($false),
% 9.87/7.40 inference(unit_resolution,[status(thm)],[37023, 36539])).
% 9.87/7.40 tff(37025,plain,(~(constB137 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.87/7.40 tff(37026,assumption,(constB59 = VarCurr!0), introduced(assumption)).
% 9.87/7.40 tff(37027,plain,
% 9.87/7.40 (v162(constB59) <=> v162(VarCurr!0)),
% 9.87/7.40 inference(monotonicity,[status(thm)],[37026])).
% 9.87/7.40 tff(37028,plain,
% 9.87/7.40 (v162(VarCurr!0) <=> v162(constB59)),
% 9.87/7.40 inference(symmetry,[status(thm)],[37027])).
% 9.87/7.40 tff(37029,plain,
% 9.87/7.40 (v162(constB59)),
% 9.87/7.40 inference(modus_ponens,[status(thm)],[59, 37028])).
% 9.87/7.40 tff(37030,plain,
% 9.87/7.40 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB58, constB59)) | (v162(constB59) <=> v160(constB58)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB58, constB59)) | (v162(constB59) <=> v160(constB58)))),
% 9.87/7.40 inference(rewrite,[status(thm)],[])).
% 9.87/7.40 tff(37031,plain,
% 9.87/7.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB58, constB59)) | (v162(constB59) <=> v160(constB58)))),
% 9.87/7.40 inference(quant_inst,[status(thm)],[])).
% 9.87/7.40 tff(37032,plain,
% 9.87/7.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB58, constB59)) | (v162(constB59) <=> v160(constB58))),
% 9.87/7.40 inference(modus_ponens,[status(thm)],[37031, 37030])).
% 9.87/7.40 tff(37033,plain,
% 9.87/7.40 (v162(constB59) <=> v160(constB58)),
% 9.87/7.40 inference(unit_resolution,[status(thm)],[37032, 7080, 70])).
% 9.87/7.40 tff(37034,plain,
% 9.87/7.40 ((~![VarCurr: $i] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB58) <=> (v163(constB58) | v164(constB58)))),
% 9.87/7.40 inference(quant_inst,[status(thm)],[])).
% 9.87/7.40 tff(37035,plain,
% 9.87/7.40 (v160(constB58) <=> (v163(constB58) | v164(constB58))),
% 9.87/7.40 inference(unit_resolution,[status(thm)],[37034, 84])).
% 9.87/7.40 tff(37036,plain,
% 9.87/7.40 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB58) <=> (~((~v130(constB58)) | (~v154(constB58)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB58) <=> (~((~v130(constB58)) | (~v154(constB58))))))),
% 9.87/7.40 inference(rewrite,[status(thm)],[])).
% 9.87/7.40 tff(37037,plain,
% 9.87/7.40 ((v164(constB58) <=> (~((~v154(constB58)) | (~v130(constB58))))) <=> (v164(constB58) <=> (~((~v130(constB58)) | (~v154(constB58)))))),
% 9.87/7.40 inference(rewrite,[status(thm)],[])).
% 9.87/7.40 tff(37038,plain,
% 9.87/7.40 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB58) <=> (~((~v154(constB58)) | (~v130(constB58)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB58) <=> (~((~v130(constB58)) | (~v154(constB58))))))),
% 9.87/7.40 inference(monotonicity,[status(thm)],[37037])).
% 9.87/7.40 tff(37039,plain,
% 9.87/7.40 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB58) <=> (~((~v154(constB58)) | (~v130(constB58)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB58) <=> (~((~v130(constB58)) | (~v154(constB58))))))),
% 9.87/7.40 inference(transitivity,[status(thm)],[37038, 37036])).
% 9.87/7.40 tff(37040,plain,
% 9.87/7.40 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB58) <=> (~((~v154(constB58)) | (~v130(constB58)))))),
% 9.87/7.40 inference(quant_inst,[status(thm)],[])).
% 9.87/7.40 tff(37041,plain,
% 9.87/7.40 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB58) <=> (~((~v130(constB58)) | (~v154(constB58)))))),
% 9.87/7.40 inference(modus_ponens,[status(thm)],[37040, 37039])).
% 9.87/7.40 tff(37042,plain,
% 9.87/7.40 (v164(constB58) <=> (~((~v130(constB58)) | (~v154(constB58))))),
% 9.87/7.40 inference(unit_resolution,[status(thm)],[37041, 96])).
% 9.87/7.40 tff(37043,plain,
% 9.87/7.40 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB58) <=> (~((~v141(constB58)) | (~v143(constB58)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB58) <=> (~((~v141(constB58)) | (~v143(constB58))))))),
% 9.87/7.40 inference(rewrite,[status(thm)],[])).
% 9.87/7.40 tff(37044,plain,
% 9.87/7.40 ((v154(constB58) <=> (~((~v143(constB58)) | (~v141(constB58))))) <=> (v154(constB58) <=> (~((~v141(constB58)) | (~v143(constB58)))))),
% 9.87/7.40 inference(rewrite,[status(thm)],[])).
% 9.87/7.40 tff(37045,plain,
% 9.87/7.40 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB58) <=> (~((~v143(constB58)) | (~v141(constB58)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB58) <=> (~((~v141(constB58)) | (~v143(constB58))))))),
% 9.87/7.40 inference(monotonicity,[status(thm)],[37044])).
% 9.87/7.40 tff(37046,plain,
% 9.87/7.40 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB58) <=> (~((~v143(constB58)) | (~v141(constB58)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB58) <=> (~((~v141(constB58)) | (~v143(constB58))))))),
% 9.87/7.40 inference(transitivity,[status(thm)],[37045, 37043])).
% 9.87/7.40 tff(37047,plain,
% 9.87/7.40 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB58) <=> (~((~v143(constB58)) | (~v141(constB58)))))),
% 9.87/7.40 inference(quant_inst,[status(thm)],[])).
% 9.87/7.40 tff(37048,plain,
% 9.87/7.40 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB58) <=> (~((~v141(constB58)) | (~v143(constB58)))))),
% 9.87/7.40 inference(modus_ponens,[status(thm)],[37047, 37046])).
% 9.87/7.40 tff(37049,plain,
% 9.87/7.40 (v154(constB58) <=> (~((~v141(constB58)) | (~v143(constB58))))),
% 9.87/7.40 inference(unit_resolution,[status(thm)],[37048, 113])).
% 9.87/7.40 tff(37050,plain,
% 9.87/7.40 (((~v141(constB58)) | (~v143(constB58))) | v141(constB58)),
% 9.87/7.40 inference(tautology,[status(thm)],[])).
% 9.87/7.40 tff(37051,plain,
% 9.87/7.40 ((~v141(constB58)) | (~v143(constB58))),
% 9.87/7.40 inference(unit_resolution,[status(thm)],[37050, 34279])).
% 9.87/7.40 tff(37052,plain,
% 9.87/7.40 ((~(v154(constB58) <=> (~((~v141(constB58)) | (~v143(constB58)))))) | (~v154(constB58)) | (~((~v141(constB58)) | (~v143(constB58))))),
% 9.87/7.40 inference(tautology,[status(thm)],[])).
% 9.87/7.40 tff(37053,plain,
% 9.87/7.40 ((~(v154(constB58) <=> (~((~v141(constB58)) | (~v143(constB58)))))) | (~v154(constB58))),
% 9.87/7.40 inference(unit_resolution,[status(thm)],[37052, 37051])).
% 9.87/7.40 tff(37054,plain,
% 9.87/7.40 (~v154(constB58)),
% 9.87/7.40 inference(unit_resolution,[status(thm)],[37053, 37049])).
% 9.87/7.40 tff(37055,plain,
% 9.87/7.40 (((~v130(constB58)) | (~v154(constB58))) | v154(constB58)),
% 9.87/7.40 inference(tautology,[status(thm)],[])).
% 9.87/7.40 tff(37056,plain,
% 9.87/7.40 ((~v130(constB58)) | (~v154(constB58))),
% 9.87/7.40 inference(unit_resolution,[status(thm)],[37055, 37054])).
% 9.87/7.40 tff(37057,plain,
% 9.87/7.40 ((~(v164(constB58) <=> (~((~v130(constB58)) | (~v154(constB58)))))) | (~v164(constB58)) | (~((~v130(constB58)) | (~v154(constB58))))),
% 9.87/7.40 inference(tautology,[status(thm)],[])).
% 9.87/7.40 tff(37058,plain,
% 9.87/7.40 (~v164(constB58)),
% 9.87/7.40 inference(unit_resolution,[status(thm)],[37057, 37056, 37042])).
% 9.87/7.40 tff(37059,plain,
% 9.87/7.40 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB58) <=> (~((~v128(constB58)) | (~v139(constB58)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB58) <=> (~((~v128(constB58)) | (~v139(constB58))))))),
% 9.87/7.40 inference(rewrite,[status(thm)],[])).
% 9.87/7.40 tff(37060,plain,
% 9.87/7.40 ((v163(constB58) <=> (~((~v139(constB58)) | (~v128(constB58))))) <=> (v163(constB58) <=> (~((~v128(constB58)) | (~v139(constB58)))))),
% 9.87/7.40 inference(rewrite,[status(thm)],[])).
% 9.87/7.40 tff(37061,plain,
% 9.87/7.40 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB58) <=> (~((~v139(constB58)) | (~v128(constB58)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB58) <=> (~((~v128(constB58)) | (~v139(constB58))))))),
% 9.87/7.40 inference(monotonicity,[status(thm)],[37060])).
% 9.87/7.40 tff(37062,plain,
% 9.87/7.40 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB58) <=> (~((~v139(constB58)) | (~v128(constB58)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB58) <=> (~((~v128(constB58)) | (~v139(constB58))))))),
% 9.87/7.40 inference(transitivity,[status(thm)],[37061, 37059])).
% 9.87/7.40 tff(37063,plain,
% 9.87/7.40 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB58) <=> (~((~v139(constB58)) | (~v128(constB58)))))),
% 9.87/7.40 inference(quant_inst,[status(thm)],[])).
% 9.87/7.40 tff(37064,plain,
% 9.87/7.40 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB58) <=> (~((~v128(constB58)) | (~v139(constB58)))))),
% 9.87/7.40 inference(modus_ponens,[status(thm)],[37063, 37062])).
% 9.87/7.40 tff(37065,plain,
% 9.87/7.40 (v163(constB58) <=> (~((~v128(constB58)) | (~v139(constB58))))),
% 9.87/7.40 inference(unit_resolution,[status(thm)],[37064, 171])).
% 9.87/7.40 tff(37066,plain,
% 9.87/7.40 ((~![VarNext: $i] : (v128(VarNext) <=> v162(VarNext))) | (v128(constB58) <=> v162(constB58))),
% 9.87/7.40 inference(quant_inst,[status(thm)],[])).
% 9.87/7.40 tff(37067,plain,
% 9.87/7.40 (v128(constB58) <=> v162(constB58)),
% 9.87/7.40 inference(unit_resolution,[status(thm)],[37066, 13])).
% 9.87/7.40 tff(37068,plain,
% 9.87/7.40 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB57, constB58)) | (v162(constB58) <=> v160(constB57)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB57, constB58)) | (v162(constB58) <=> v160(constB57)))),
% 9.87/7.40 inference(rewrite,[status(thm)],[])).
% 9.87/7.40 tff(37069,plain,
% 9.87/7.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB57, constB58)) | (v162(constB58) <=> v160(constB57)))),
% 9.87/7.40 inference(quant_inst,[status(thm)],[])).
% 9.87/7.40 tff(37070,plain,
% 9.87/7.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB57, constB58)) | (v162(constB58) <=> v160(constB57))),
% 9.87/7.40 inference(modus_ponens,[status(thm)],[37069, 37068])).
% 9.87/7.40 tff(37071,plain,
% 9.87/7.40 (v162(constB58) <=> v160(constB57)),
% 9.87/7.40 inference(unit_resolution,[status(thm)],[37070, 7112, 70])).
% 9.87/7.40 tff(37072,plain,
% 9.87/7.40 ((~![VarCurr: $i] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB57) <=> (v163(constB57) | v164(constB57)))),
% 9.87/7.40 inference(quant_inst,[status(thm)],[])).
% 9.87/7.40 tff(37073,plain,
% 9.87/7.40 (v160(constB57) <=> (v163(constB57) | v164(constB57))),
% 9.87/7.40 inference(unit_resolution,[status(thm)],[37072, 84])).
% 9.87/7.40 tff(37074,plain,
% 9.87/7.40 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB57) <=> (~((~v128(constB57)) | (~v139(constB57)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB57) <=> (~((~v128(constB57)) | (~v139(constB57))))))),
% 9.87/7.40 inference(rewrite,[status(thm)],[])).
% 9.87/7.40 tff(37075,plain,
% 9.87/7.40 ((v163(constB57) <=> (~((~v139(constB57)) | (~v128(constB57))))) <=> (v163(constB57) <=> (~((~v128(constB57)) | (~v139(constB57)))))),
% 9.87/7.40 inference(rewrite,[status(thm)],[])).
% 9.87/7.40 tff(37076,plain,
% 9.87/7.40 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB57) <=> (~((~v139(constB57)) | (~v128(constB57)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB57) <=> (~((~v128(constB57)) | (~v139(constB57))))))),
% 9.87/7.40 inference(monotonicity,[status(thm)],[37075])).
% 9.87/7.40 tff(37077,plain,
% 9.87/7.40 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB57) <=> (~((~v139(constB57)) | (~v128(constB57)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB57) <=> (~((~v128(constB57)) | (~v139(constB57))))))),
% 9.87/7.40 inference(transitivity,[status(thm)],[37076, 37074])).
% 9.87/7.40 tff(37078,plain,
% 9.87/7.40 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB57) <=> (~((~v139(constB57)) | (~v128(constB57)))))),
% 9.87/7.40 inference(quant_inst,[status(thm)],[])).
% 9.87/7.40 tff(37079,plain,
% 9.87/7.40 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB57) <=> (~((~v128(constB57)) | (~v139(constB57)))))),
% 9.87/7.40 inference(modus_ponens,[status(thm)],[37078, 37077])).
% 9.87/7.40 tff(37080,plain,
% 9.87/7.40 (v163(constB57) <=> (~((~v128(constB57)) | (~v139(constB57))))),
% 9.87/7.40 inference(unit_resolution,[status(thm)],[37079, 171])).
% 9.87/7.40 tff(37081,plain,
% 9.87/7.40 (((~v128(constB57)) | (~v139(constB57))) | v139(constB57)),
% 9.87/7.40 inference(tautology,[status(thm)],[])).
% 9.87/7.40 tff(37082,plain,
% 9.87/7.40 ((~v128(constB57)) | (~v139(constB57))),
% 9.87/7.40 inference(unit_resolution,[status(thm)],[37081, 34372])).
% 9.87/7.40 tff(37083,plain,
% 9.87/7.40 ((~(v163(constB57) <=> (~((~v128(constB57)) | (~v139(constB57)))))) | (~v163(constB57)) | (~((~v128(constB57)) | (~v139(constB57))))),
% 9.87/7.40 inference(tautology,[status(thm)],[])).
% 9.87/7.40 tff(37084,plain,
% 9.87/7.40 (~v163(constB57)),
% 9.87/7.40 inference(unit_resolution,[status(thm)],[37083, 37082, 37080])).
% 9.87/7.40 tff(37085,plain,
% 9.87/7.40 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB57) <=> (~((~v130(constB57)) | (~v154(constB57)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB57) <=> (~((~v130(constB57)) | (~v154(constB57))))))),
% 9.87/7.40 inference(rewrite,[status(thm)],[])).
% 9.87/7.40 tff(37086,plain,
% 9.87/7.40 ((v164(constB57) <=> (~((~v154(constB57)) | (~v130(constB57))))) <=> (v164(constB57) <=> (~((~v130(constB57)) | (~v154(constB57)))))),
% 9.87/7.40 inference(rewrite,[status(thm)],[])).
% 9.87/7.40 tff(37087,plain,
% 9.87/7.40 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB57) <=> (~((~v154(constB57)) | (~v130(constB57)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB57) <=> (~((~v130(constB57)) | (~v154(constB57))))))),
% 9.87/7.40 inference(monotonicity,[status(thm)],[37086])).
% 9.87/7.40 tff(37088,plain,
% 9.87/7.40 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB57) <=> (~((~v154(constB57)) | (~v130(constB57)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB57) <=> (~((~v130(constB57)) | (~v154(constB57))))))),
% 9.87/7.40 inference(transitivity,[status(thm)],[37087, 37085])).
% 9.87/7.40 tff(37089,plain,
% 9.87/7.40 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB57) <=> (~((~v154(constB57)) | (~v130(constB57)))))),
% 9.87/7.40 inference(quant_inst,[status(thm)],[])).
% 9.87/7.40 tff(37090,plain,
% 9.87/7.40 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB57) <=> (~((~v130(constB57)) | (~v154(constB57)))))),
% 9.87/7.40 inference(modus_ponens,[status(thm)],[37089, 37088])).
% 9.87/7.40 tff(37091,plain,
% 9.87/7.40 (v164(constB57) <=> (~((~v130(constB57)) | (~v154(constB57))))),
% 9.87/7.40 inference(unit_resolution,[status(thm)],[37090, 96])).
% 9.87/7.40 tff(37092,plain,
% 9.87/7.40 ((~![VarNext: $i] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB57) <=> v152(constB57))),
% 9.87/7.40 inference(quant_inst,[status(thm)],[])).
% 9.87/7.40 tff(37093,plain,
% 9.87/7.40 (v130(constB57) <=> v152(constB57)),
% 9.87/7.40 inference(unit_resolution,[status(thm)],[37092, 361])).
% 9.87/7.40 tff(37094,plain,
% 9.87/7.40 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB56, constB57)) | (v152(constB57) <=> v150(constB56)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB56, constB57)) | (v152(constB57) <=> v150(constB56)))),
% 9.87/7.40 inference(rewrite,[status(thm)],[])).
% 9.87/7.40 tff(37095,plain,
% 9.87/7.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB56, constB57)) | (v152(constB57) <=> v150(constB56)))),
% 9.87/7.40 inference(quant_inst,[status(thm)],[])).
% 9.87/7.40 tff(37096,plain,
% 9.87/7.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB56, constB57)) | (v152(constB57) <=> v150(constB56))),
% 9.87/7.40 inference(modus_ponens,[status(thm)],[37095, 37094])).
% 9.87/7.40 tff(37097,plain,
% 9.87/7.40 (v152(constB57) <=> v150(constB56)),
% 9.87/7.40 inference(unit_resolution,[status(thm)],[37096, 7171, 373])).
% 9.87/7.40 tff(37098,plain,
% 9.87/7.40 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v153(VarCurr) | v155(VarCurr)))) | (v150(constB56) <=> (v153(constB56) | v155(constB56)))),
% 9.87/7.40 inference(quant_inst,[status(thm)],[])).
% 9.87/7.40 tff(37099,plain,
% 9.87/7.40 (v150(constB56) <=> (v153(constB56) | v155(constB56))),
% 9.87/7.40 inference(unit_resolution,[status(thm)],[37098, 387])).
% 9.87/7.40 tff(37100,plain,
% 9.87/7.40 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB56) <=> (~((~v132(constB56)) | (~v154(constB56)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB56) <=> (~((~v132(constB56)) | (~v154(constB56))))))),
% 9.87/7.40 inference(rewrite,[status(thm)],[])).
% 9.87/7.40 tff(37101,plain,
% 9.87/7.40 ((v153(constB56) <=> (~((~v154(constB56)) | (~v132(constB56))))) <=> (v153(constB56) <=> (~((~v132(constB56)) | (~v154(constB56)))))),
% 9.87/7.40 inference(rewrite,[status(thm)],[])).
% 9.87/7.40 tff(37102,plain,
% 9.87/7.40 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB56) <=> (~((~v154(constB56)) | (~v132(constB56)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB56) <=> (~((~v132(constB56)) | (~v154(constB56))))))),
% 9.87/7.40 inference(monotonicity,[status(thm)],[37101])).
% 9.87/7.40 tff(37103,plain,
% 9.87/7.40 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB56) <=> (~((~v154(constB56)) | (~v132(constB56)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB56) <=> (~((~v132(constB56)) | (~v154(constB56))))))),
% 9.87/7.40 inference(transitivity,[status(thm)],[37102, 37100])).
% 9.87/7.40 tff(37104,plain,
% 9.87/7.40 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB56) <=> (~((~v154(constB56)) | (~v132(constB56)))))),
% 9.87/7.40 inference(quant_inst,[status(thm)],[])).
% 9.87/7.40 tff(37105,plain,
% 9.87/7.40 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB56) <=> (~((~v132(constB56)) | (~v154(constB56)))))),
% 9.87/7.40 inference(modus_ponens,[status(thm)],[37104, 37103])).
% 9.87/7.40 tff(37106,plain,
% 9.87/7.40 (v153(constB56) <=> (~((~v132(constB56)) | (~v154(constB56))))),
% 9.87/7.40 inference(unit_resolution,[status(thm)],[37105, 399])).
% 9.87/7.40 tff(37107,plain,
% 9.87/7.40 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB56) <=> (~((~v141(constB56)) | (~v143(constB56)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB56) <=> (~((~v141(constB56)) | (~v143(constB56))))))),
% 9.87/7.40 inference(rewrite,[status(thm)],[])).
% 9.87/7.40 tff(37108,plain,
% 9.87/7.40 ((v154(constB56) <=> (~((~v143(constB56)) | (~v141(constB56))))) <=> (v154(constB56) <=> (~((~v141(constB56)) | (~v143(constB56)))))),
% 9.87/7.40 inference(rewrite,[status(thm)],[])).
% 9.87/7.40 tff(37109,plain,
% 9.87/7.40 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB56) <=> (~((~v143(constB56)) | (~v141(constB56)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB56) <=> (~((~v141(constB56)) | (~v143(constB56))))))),
% 9.87/7.40 inference(monotonicity,[status(thm)],[37108])).
% 9.87/7.40 tff(37110,plain,
% 9.87/7.40 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB56) <=> (~((~v143(constB56)) | (~v141(constB56)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB56) <=> (~((~v141(constB56)) | (~v143(constB56))))))),
% 9.87/7.40 inference(transitivity,[status(thm)],[37109, 37107])).
% 9.87/7.40 tff(37111,plain,
% 9.87/7.40 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB56) <=> (~((~v143(constB56)) | (~v141(constB56)))))),
% 9.87/7.40 inference(quant_inst,[status(thm)],[])).
% 9.87/7.40 tff(37112,plain,
% 9.87/7.40 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB56) <=> (~((~v141(constB56)) | (~v143(constB56)))))),
% 9.87/7.40 inference(modus_ponens,[status(thm)],[37111, 37110])).
% 9.87/7.40 tff(37113,plain,
% 9.87/7.40 (v154(constB56) <=> (~((~v141(constB56)) | (~v143(constB56))))),
% 9.87/7.40 inference(unit_resolution,[status(thm)],[37112, 113])).
% 9.87/7.40 tff(37114,plain,
% 9.87/7.40 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB56) <=> (~((~v39(constB56)) | (~v9(constB56)))))),
% 9.87/7.40 inference(quant_inst,[status(thm)],[])).
% 9.87/7.40 tff(37115,plain,
% 9.87/7.40 (v141(constB56) <=> (~((~v39(constB56)) | (~v9(constB56))))),
% 9.87/7.40 inference(unit_resolution,[status(thm)],[37114, 130])).
% 9.87/7.40 tff(37116,plain,
% 9.87/7.40 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB56)) <=> v1(constB56))),
% 9.87/7.40 inference(quant_inst,[status(thm)],[])).
% 9.87/7.40 tff(37117,plain,
% 9.87/7.40 ((~v39(constB56)) <=> v1(constB56)),
% 9.87/7.40 inference(unit_resolution,[status(thm)],[37116, 139])).
% 9.87/7.40 tff(37118,plain,
% 9.87/7.40 ((~((~v39(constB56)) <=> v1(constB56))) | (~v39(constB56)) | (~v1(constB56))),
% 9.87/7.40 inference(tautology,[status(thm)],[])).
% 9.87/7.40 tff(37119,plain,
% 9.87/7.40 ((~((~v39(constB56)) <=> v1(constB56))) | (~v39(constB56))),
% 9.87/7.40 inference(unit_resolution,[status(thm)],[37118, 7233])).
% 9.87/7.40 tff(37120,plain,
% 9.87/7.40 (~v39(constB56)),
% 9.87/7.40 inference(unit_resolution,[status(thm)],[37119, 37117])).
% 9.87/7.40 tff(37121,plain,
% 9.87/7.40 (((~v39(constB56)) | (~v9(constB56))) | v39(constB56)),
% 9.87/7.40 inference(tautology,[status(thm)],[])).
% 9.87/7.40 tff(37122,plain,
% 9.87/7.40 ((~v39(constB56)) | (~v9(constB56))),
% 9.87/7.40 inference(unit_resolution,[status(thm)],[37121, 37120])).
% 9.87/7.40 tff(37123,plain,
% 9.87/7.40 ((~(v141(constB56) <=> (~((~v39(constB56)) | (~v9(constB56)))))) | (~v141(constB56)) | (~((~v39(constB56)) | (~v9(constB56))))),
% 9.87/7.40 inference(tautology,[status(thm)],[])).
% 9.87/7.40 tff(37124,plain,
% 9.87/7.40 ((~(v141(constB56) <=> (~((~v39(constB56)) | (~v9(constB56)))))) | (~v141(constB56))),
% 9.87/7.40 inference(unit_resolution,[status(thm)],[37123, 37122])).
% 9.87/7.40 tff(37125,plain,
% 9.87/7.40 (~v141(constB56)),
% 9.87/7.40 inference(unit_resolution,[status(thm)],[37124, 37115])).
% 9.87/7.40 tff(37126,plain,
% 9.87/7.40 (((~v141(constB56)) | (~v143(constB56))) | v141(constB56)),
% 9.87/7.40 inference(tautology,[status(thm)],[])).
% 9.87/7.40 tff(37127,plain,
% 9.87/7.40 ((~v141(constB56)) | (~v143(constB56))),
% 9.87/7.40 inference(unit_resolution,[status(thm)],[37126, 37125])).
% 9.87/7.40 tff(37128,plain,
% 9.87/7.40 ((~(v154(constB56) <=> (~((~v141(constB56)) | (~v143(constB56)))))) | (~v154(constB56)) | (~((~v141(constB56)) | (~v143(constB56))))),
% 9.87/7.40 inference(tautology,[status(thm)],[])).
% 9.87/7.40 tff(37129,plain,
% 9.87/7.40 ((~(v154(constB56) <=> (~((~v141(constB56)) | (~v143(constB56)))))) | (~v154(constB56))),
% 9.87/7.40 inference(unit_resolution,[status(thm)],[37128, 37127])).
% 9.87/7.40 tff(37130,plain,
% 9.87/7.40 (~v154(constB56)),
% 9.87/7.40 inference(unit_resolution,[status(thm)],[37129, 37113])).
% 9.87/7.40 tff(37131,plain,
% 9.87/7.40 (((~v132(constB56)) | (~v154(constB56))) | v154(constB56)),
% 9.87/7.40 inference(tautology,[status(thm)],[])).
% 9.87/7.40 tff(37132,plain,
% 9.87/7.40 ((~v132(constB56)) | (~v154(constB56))),
% 9.87/7.40 inference(unit_resolution,[status(thm)],[37131, 37130])).
% 9.87/7.40 tff(37133,plain,
% 9.87/7.40 ((~(v153(constB56) <=> (~((~v132(constB56)) | (~v154(constB56)))))) | (~v153(constB56)) | (~((~v132(constB56)) | (~v154(constB56))))),
% 9.87/7.40 inference(tautology,[status(thm)],[])).
% 9.87/7.40 tff(37134,plain,
% 9.87/7.40 (~v153(constB56)),
% 9.87/7.40 inference(unit_resolution,[status(thm)],[37133, 37132, 37106])).
% 9.87/7.40 tff(37135,plain,
% 9.87/7.40 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB56) <=> (~((~v130(constB56)) | (~v139(constB56)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB56) <=> (~((~v130(constB56)) | (~v139(constB56))))))),
% 9.87/7.40 inference(rewrite,[status(thm)],[])).
% 9.87/7.40 tff(37136,plain,
% 9.87/7.40 ((v155(constB56) <=> (~((~v139(constB56)) | (~v130(constB56))))) <=> (v155(constB56) <=> (~((~v130(constB56)) | (~v139(constB56)))))),
% 9.87/7.40 inference(rewrite,[status(thm)],[])).
% 9.87/7.40 tff(37137,plain,
% 9.87/7.40 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB56) <=> (~((~v139(constB56)) | (~v130(constB56)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB56) <=> (~((~v130(constB56)) | (~v139(constB56))))))),
% 9.87/7.40 inference(monotonicity,[status(thm)],[37136])).
% 9.87/7.40 tff(37138,plain,
% 9.87/7.40 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB56) <=> (~((~v139(constB56)) | (~v130(constB56)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB56) <=> (~((~v130(constB56)) | (~v139(constB56))))))),
% 9.87/7.40 inference(transitivity,[status(thm)],[37137, 37135])).
% 9.87/7.40 tff(37139,plain,
% 9.87/7.40 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB56) <=> (~((~v139(constB56)) | (~v130(constB56)))))),
% 9.89/7.40 inference(quant_inst,[status(thm)],[])).
% 9.89/7.40 tff(37140,plain,
% 9.89/7.40 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB56) <=> (~((~v130(constB56)) | (~v139(constB56)))))),
% 9.89/7.40 inference(modus_ponens,[status(thm)],[37139, 37138])).
% 9.89/7.40 tff(37141,plain,
% 9.89/7.40 (v155(constB56) <=> (~((~v130(constB56)) | (~v139(constB56))))),
% 9.89/7.40 inference(unit_resolution,[status(thm)],[37140, 447])).
% 9.89/7.40 tff(37142,plain,
% 9.89/7.40 ((~![VarNext: $i] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB56) <=> v152(constB56))),
% 9.89/7.40 inference(quant_inst,[status(thm)],[])).
% 9.89/7.40 tff(37143,plain,
% 9.89/7.40 (v130(constB56) <=> v152(constB56)),
% 9.89/7.40 inference(unit_resolution,[status(thm)],[37142, 361])).
% 9.89/7.40 tff(37144,plain,
% 9.89/7.40 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB55, constB56)) | (v152(constB56) <=> v150(constB55)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB55, constB56)) | (v152(constB56) <=> v150(constB55)))),
% 9.89/7.40 inference(rewrite,[status(thm)],[])).
% 9.89/7.40 tff(37145,plain,
% 9.89/7.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB55, constB56)) | (v152(constB56) <=> v150(constB55)))),
% 9.89/7.40 inference(quant_inst,[status(thm)],[])).
% 9.89/7.40 tff(37146,plain,
% 9.89/7.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB55, constB56)) | (v152(constB56) <=> v150(constB55))),
% 9.89/7.40 inference(modus_ponens,[status(thm)],[37145, 37144])).
% 9.89/7.40 tff(37147,plain,
% 9.89/7.40 (v152(constB56) <=> v150(constB55)),
% 9.89/7.40 inference(unit_resolution,[status(thm)],[37146, 7203, 373])).
% 9.89/7.40 tff(37148,plain,
% 9.89/7.40 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v153(VarCurr) | v155(VarCurr)))) | (v150(constB55) <=> (v153(constB55) | v155(constB55)))),
% 9.89/7.40 inference(quant_inst,[status(thm)],[])).
% 9.89/7.40 tff(37149,plain,
% 9.89/7.40 (v150(constB55) <=> (v153(constB55) | v155(constB55))),
% 9.89/7.40 inference(unit_resolution,[status(thm)],[37148, 387])).
% 9.89/7.40 tff(37150,plain,
% 9.89/7.40 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB55) <=> (~((~v130(constB55)) | (~v139(constB55)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB55) <=> (~((~v130(constB55)) | (~v139(constB55))))))),
% 9.89/7.40 inference(rewrite,[status(thm)],[])).
% 9.89/7.40 tff(37151,plain,
% 9.89/7.40 ((v155(constB55) <=> (~((~v139(constB55)) | (~v130(constB55))))) <=> (v155(constB55) <=> (~((~v130(constB55)) | (~v139(constB55)))))),
% 9.89/7.40 inference(rewrite,[status(thm)],[])).
% 9.89/7.40 tff(37152,plain,
% 9.89/7.40 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB55) <=> (~((~v139(constB55)) | (~v130(constB55)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB55) <=> (~((~v130(constB55)) | (~v139(constB55))))))),
% 9.89/7.40 inference(monotonicity,[status(thm)],[37151])).
% 9.89/7.40 tff(37153,plain,
% 9.89/7.40 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB55) <=> (~((~v139(constB55)) | (~v130(constB55)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB55) <=> (~((~v130(constB55)) | (~v139(constB55))))))),
% 9.89/7.40 inference(transitivity,[status(thm)],[37152, 37150])).
% 9.89/7.40 tff(37154,plain,
% 9.89/7.40 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB55) <=> (~((~v139(constB55)) | (~v130(constB55)))))),
% 9.89/7.40 inference(quant_inst,[status(thm)],[])).
% 9.89/7.40 tff(37155,plain,
% 9.89/7.40 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB55) <=> (~((~v130(constB55)) | (~v139(constB55)))))),
% 9.89/7.40 inference(modus_ponens,[status(thm)],[37154, 37153])).
% 9.89/7.40 tff(37156,plain,
% 9.89/7.40 (v155(constB55) <=> (~((~v130(constB55)) | (~v139(constB55))))),
% 9.89/7.40 inference(unit_resolution,[status(thm)],[37155, 447])).
% 9.89/7.40 tff(37157,plain,
% 9.89/7.40 ((~![VarCurr: $i] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB55)) <=> v140(constB55))),
% 9.89/7.40 inference(quant_inst,[status(thm)],[])).
% 9.89/7.40 tff(37158,plain,
% 9.89/7.40 ((~v139(constB55)) <=> v140(constB55)),
% 9.89/7.40 inference(unit_resolution,[status(thm)],[37157, 203])).
% 9.89/7.40 tff(37159,plain,
% 9.89/7.40 ((~![VarCurr: $i] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB55) <=> (v141(constB55) | v26(constB55)))),
% 9.89/7.40 inference(quant_inst,[status(thm)],[])).
% 9.89/7.40 tff(37160,plain,
% 9.89/7.40 (v140(constB55) <=> (v141(constB55) | v26(constB55))),
% 9.89/7.40 inference(unit_resolution,[status(thm)],[37159, 212])).
% 9.89/7.40 tff(37161,plain,
% 9.89/7.40 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB55) <=> (~((~v39(constB55)) | (~v9(constB55)))))),
% 9.89/7.40 inference(quant_inst,[status(thm)],[])).
% 9.89/7.40 tff(37162,plain,
% 9.89/7.40 (v141(constB55) <=> (~((~v39(constB55)) | (~v9(constB55))))),
% 9.89/7.40 inference(unit_resolution,[status(thm)],[37161, 130])).
% 9.89/7.40 tff(37163,plain,
% 9.89/7.40 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB55, constB56)) | (v13(constB56) <=> v9(constB55)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB55, constB56)) | (v13(constB56) <=> v9(constB55)))),
% 9.89/7.40 inference(rewrite,[status(thm)],[])).
% 9.89/7.40 tff(37164,plain,
% 9.89/7.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB55, constB56)) | (v13(constB56) <=> v9(constB55)))),
% 9.89/7.40 inference(quant_inst,[status(thm)],[])).
% 9.89/7.40 tff(37165,plain,
% 9.89/7.40 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB55, constB56)) | (v13(constB56) <=> v9(constB55))),
% 9.89/7.40 inference(modus_ponens,[status(thm)],[37164, 37163])).
% 9.89/7.40 tff(37166,plain,
% 9.89/7.40 (v13(constB56) <=> v9(constB55)),
% 9.89/7.40 inference(unit_resolution,[status(thm)],[37165, 7203, 226])).
% 9.89/7.40 tff(37167,plain,
% 9.89/7.40 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB56) <=> v13(constB56))),
% 9.89/7.40 inference(quant_inst,[status(thm)],[])).
% 9.89/7.40 tff(37168,plain,
% 9.89/7.40 (v6(constB56) <=> v13(constB56)),
% 9.89/7.40 inference(unit_resolution,[status(thm)],[37167, 240])).
% 9.89/7.40 tff(37169,plain,
% 9.89/7.40 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB56)) <=> v6(constB56))),
% 9.89/7.40 inference(quant_inst,[status(thm)],[])).
% 9.89/7.40 tff(37170,plain,
% 9.89/7.40 ((~v21(constB56)) <=> v6(constB56)),
% 9.89/7.40 inference(unit_resolution,[status(thm)],[37169, 249])).
% 9.89/7.40 tff(37171,plain,
% 9.89/7.40 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB56) <=> (v20(constB56) | v21(constB56)))),
% 9.89/7.40 inference(quant_inst,[status(thm)],[])).
% 9.89/7.40 tff(37172,plain,
% 9.89/7.40 (v19(constB56) <=> (v20(constB56) | v21(constB56))),
% 9.89/7.40 inference(unit_resolution,[status(thm)],[37171, 258])).
% 9.89/7.40 tff(37173,plain,
% 9.89/7.40 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB56) <=> (~((~v19(constB56)) | (~v22(constB56)))))),
% 9.89/7.40 inference(quant_inst,[status(thm)],[])).
% 9.89/7.40 tff(37174,plain,
% 9.89/7.41 (v18(constB56) <=> (~((~v19(constB56)) | (~v22(constB56))))),
% 9.89/7.41 inference(unit_resolution,[status(thm)],[37173, 270])).
% 9.89/7.41 tff(37175,plain,
% 9.89/7.41 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB56)) <=> v18(constB56))),
% 9.89/7.41 inference(quant_inst,[status(thm)],[])).
% 9.89/7.41 tff(37176,plain,
% 9.89/7.41 ((~v4(constB56)) <=> v18(constB56)),
% 9.89/7.41 inference(unit_resolution,[status(thm)],[37175, 279])).
% 9.89/7.41 tff(37177,plain,
% 9.89/7.41 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB56)),
% 9.89/7.41 inference(quant_inst,[status(thm)],[])).
% 9.89/7.41 tff(37178,plain,
% 9.89/7.41 (v4(constB56)),
% 9.89/7.41 inference(unit_resolution,[status(thm)],[37177, 288])).
% 9.89/7.41 tff(37179,plain,
% 9.89/7.41 ((~((~v4(constB56)) <=> v18(constB56))) | (~v4(constB56)) | (~v18(constB56))),
% 9.89/7.41 inference(tautology,[status(thm)],[])).
% 9.89/7.41 tff(37180,plain,
% 9.89/7.41 (~v18(constB56)),
% 9.89/7.41 inference(unit_resolution,[status(thm)],[37179, 37178, 37176])).
% 9.89/7.41 tff(37181,plain,
% 9.89/7.41 ((~(v18(constB56) <=> (~((~v19(constB56)) | (~v22(constB56)))))) | v18(constB56) | ((~v19(constB56)) | (~v22(constB56)))),
% 9.89/7.41 inference(tautology,[status(thm)],[])).
% 9.89/7.41 tff(37182,plain,
% 9.89/7.41 ((~v19(constB56)) | (~v22(constB56))),
% 9.89/7.41 inference(unit_resolution,[status(thm)],[37181, 37180, 37174])).
% 9.89/7.41 tff(37183,plain,
% 9.89/7.41 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB56) <=> (v1(constB56) | v6(constB56)))),
% 9.89/7.41 inference(quant_inst,[status(thm)],[])).
% 9.89/7.41 tff(37184,plain,
% 9.89/7.41 (v22(constB56) <=> (v1(constB56) | v6(constB56))),
% 9.89/7.41 inference(unit_resolution,[status(thm)],[37183, 301])).
% 9.89/7.41 tff(37185,plain,
% 9.89/7.41 ((v1(constB56) | v6(constB56)) | (~v1(constB56))),
% 9.89/7.41 inference(tautology,[status(thm)],[])).
% 9.89/7.41 tff(37186,plain,
% 9.89/7.41 (v1(constB56) | v6(constB56)),
% 9.89/7.41 inference(unit_resolution,[status(thm)],[37185, 7233])).
% 9.89/7.41 tff(37187,plain,
% 9.89/7.41 ((~(v22(constB56) <=> (v1(constB56) | v6(constB56)))) | v22(constB56) | (~(v1(constB56) | v6(constB56)))),
% 9.89/7.41 inference(tautology,[status(thm)],[])).
% 9.89/7.41 tff(37188,plain,
% 9.89/7.41 ((~(v22(constB56) <=> (v1(constB56) | v6(constB56)))) | v22(constB56)),
% 9.89/7.41 inference(unit_resolution,[status(thm)],[37187, 37186])).
% 9.89/7.41 tff(37189,plain,
% 9.89/7.41 (v22(constB56)),
% 9.89/7.41 inference(unit_resolution,[status(thm)],[37188, 37184])).
% 9.89/7.41 tff(37190,plain,
% 9.89/7.41 ((~((~v19(constB56)) | (~v22(constB56)))) | (~v19(constB56)) | (~v22(constB56))),
% 9.89/7.41 inference(tautology,[status(thm)],[])).
% 9.89/7.41 tff(37191,plain,
% 9.89/7.41 ((~((~v19(constB56)) | (~v22(constB56)))) | (~v19(constB56))),
% 9.89/7.41 inference(unit_resolution,[status(thm)],[37190, 37189])).
% 9.89/7.41 tff(37192,plain,
% 9.89/7.41 (~v19(constB56)),
% 9.89/7.41 inference(unit_resolution,[status(thm)],[37191, 37182])).
% 9.89/7.41 tff(37193,plain,
% 9.89/7.41 ((~(v19(constB56) <=> (v20(constB56) | v21(constB56)))) | v19(constB56) | (~(v20(constB56) | v21(constB56)))),
% 9.89/7.41 inference(tautology,[status(thm)],[])).
% 9.89/7.41 tff(37194,plain,
% 9.89/7.41 (~(v20(constB56) | v21(constB56))),
% 9.89/7.41 inference(unit_resolution,[status(thm)],[37193, 37192, 37172])).
% 9.89/7.41 tff(37195,plain,
% 9.89/7.41 ((v20(constB56) | v21(constB56)) | (~v21(constB56))),
% 9.89/7.41 inference(tautology,[status(thm)],[])).
% 9.89/7.41 tff(37196,plain,
% 9.89/7.41 (~v21(constB56)),
% 9.89/7.41 inference(unit_resolution,[status(thm)],[37195, 37194])).
% 9.89/7.41 tff(37197,plain,
% 9.89/7.41 ((~((~v21(constB56)) <=> v6(constB56))) | v21(constB56) | v6(constB56)),
% 9.89/7.41 inference(tautology,[status(thm)],[])).
% 9.89/7.41 tff(37198,plain,
% 9.89/7.41 (v6(constB56)),
% 9.89/7.41 inference(unit_resolution,[status(thm)],[37197, 37196, 37170])).
% 9.89/7.41 tff(37199,plain,
% 9.89/7.41 ((~(v6(constB56) <=> v13(constB56))) | (~v6(constB56)) | v13(constB56)),
% 9.89/7.41 inference(tautology,[status(thm)],[])).
% 9.89/7.41 tff(37200,plain,
% 9.89/7.41 (v13(constB56)),
% 9.89/7.41 inference(unit_resolution,[status(thm)],[37199, 37198, 37168])).
% 9.89/7.41 tff(37201,plain,
% 9.89/7.41 ((~(v13(constB56) <=> v9(constB55))) | (~v13(constB56)) | v9(constB55)),
% 9.89/7.41 inference(tautology,[status(thm)],[])).
% 9.89/7.41 tff(37202,plain,
% 9.89/7.41 (v9(constB55)),
% 9.89/7.41 inference(unit_resolution,[status(thm)],[37201, 37200, 37166])).
% 9.89/7.41 tff(37203,plain,
% 9.89/7.41 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB55)) <=> v1(constB55))),
% 9.89/7.41 inference(quant_inst,[status(thm)],[])).
% 9.89/7.41 tff(37204,plain,
% 9.89/7.41 ((~v39(constB55)) <=> v1(constB55)),
% 9.89/7.41 inference(unit_resolution,[status(thm)],[37203, 139])).
% 9.89/7.41 tff(37205,plain,
% 9.89/7.41 ((~((~v39(constB55)) <=> v1(constB55))) | v39(constB55) | v1(constB55)),
% 9.89/7.41 inference(tautology,[status(thm)],[])).
% 9.89/7.41 tff(37206,plain,
% 9.89/7.41 ((~((~v39(constB55)) <=> v1(constB55))) | v39(constB55)),
% 9.89/7.41 inference(unit_resolution,[status(thm)],[37205, 7225])).
% 9.89/7.41 tff(37207,plain,
% 9.89/7.41 (v39(constB55)),
% 9.89/7.41 inference(unit_resolution,[status(thm)],[37206, 37204])).
% 9.89/7.41 tff(37208,plain,
% 9.89/7.41 ((~((~v39(constB55)) | (~v9(constB55)))) | (~v39(constB55)) | (~v9(constB55))),
% 9.89/7.41 inference(tautology,[status(thm)],[])).
% 9.89/7.41 tff(37209,plain,
% 9.89/7.41 ((~((~v39(constB55)) | (~v9(constB55)))) | (~v9(constB55))),
% 9.89/7.41 inference(unit_resolution,[status(thm)],[37208, 37207])).
% 9.89/7.41 tff(37210,plain,
% 9.89/7.41 (~((~v39(constB55)) | (~v9(constB55)))),
% 9.89/7.41 inference(unit_resolution,[status(thm)],[37209, 37202])).
% 9.89/7.41 tff(37211,plain,
% 9.89/7.41 ((~(v141(constB55) <=> (~((~v39(constB55)) | (~v9(constB55)))))) | v141(constB55) | ((~v39(constB55)) | (~v9(constB55)))),
% 9.89/7.41 inference(tautology,[status(thm)],[])).
% 9.89/7.41 tff(37212,plain,
% 9.89/7.41 (v141(constB55)),
% 9.89/7.41 inference(unit_resolution,[status(thm)],[37211, 37210, 37162])).
% 9.89/7.41 tff(37213,plain,
% 9.89/7.41 ((v141(constB55) | v26(constB55)) | (~v141(constB55))),
% 9.89/7.41 inference(tautology,[status(thm)],[])).
% 9.89/7.41 tff(37214,plain,
% 9.89/7.41 (v141(constB55) | v26(constB55)),
% 9.89/7.41 inference(unit_resolution,[status(thm)],[37213, 37212])).
% 9.89/7.41 tff(37215,plain,
% 9.89/7.41 ((~(v140(constB55) <=> (v141(constB55) | v26(constB55)))) | v140(constB55) | (~(v141(constB55) | v26(constB55)))),
% 9.89/7.41 inference(tautology,[status(thm)],[])).
% 9.89/7.41 tff(37216,plain,
% 9.89/7.41 (v140(constB55)),
% 9.89/7.41 inference(unit_resolution,[status(thm)],[37215, 37214, 37160])).
% 9.89/7.41 tff(37217,plain,
% 9.89/7.41 ((~((~v139(constB55)) <=> v140(constB55))) | (~v139(constB55)) | (~v140(constB55))),
% 9.89/7.41 inference(tautology,[status(thm)],[])).
% 9.89/7.41 tff(37218,plain,
% 9.89/7.41 (~v139(constB55)),
% 9.89/7.41 inference(unit_resolution,[status(thm)],[37217, 37216, 37158])).
% 9.89/7.41 tff(37219,plain,
% 9.89/7.41 (((~v130(constB55)) | (~v139(constB55))) | v139(constB55)),
% 9.89/7.41 inference(tautology,[status(thm)],[])).
% 9.89/7.41 tff(37220,plain,
% 9.89/7.41 ((~v130(constB55)) | (~v139(constB55))),
% 9.89/7.41 inference(unit_resolution,[status(thm)],[37219, 37218])).
% 9.89/7.41 tff(37221,plain,
% 9.89/7.41 ((~(v155(constB55) <=> (~((~v130(constB55)) | (~v139(constB55)))))) | (~v155(constB55)) | (~((~v130(constB55)) | (~v139(constB55))))),
% 9.89/7.41 inference(tautology,[status(thm)],[])).
% 9.89/7.41 tff(37222,plain,
% 9.89/7.41 (~v155(constB55)),
% 9.89/7.41 inference(unit_resolution,[status(thm)],[37221, 37220, 37156])).
% 9.89/7.41 tff(37223,plain,
% 9.89/7.41 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB55) <=> (~((~v132(constB55)) | (~v154(constB55)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB55) <=> (~((~v132(constB55)) | (~v154(constB55))))))),
% 9.89/7.41 inference(rewrite,[status(thm)],[])).
% 9.89/7.41 tff(37224,plain,
% 9.89/7.41 ((v153(constB55) <=> (~((~v154(constB55)) | (~v132(constB55))))) <=> (v153(constB55) <=> (~((~v132(constB55)) | (~v154(constB55)))))),
% 9.89/7.41 inference(rewrite,[status(thm)],[])).
% 9.89/7.41 tff(37225,plain,
% 9.89/7.41 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB55) <=> (~((~v154(constB55)) | (~v132(constB55)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB55) <=> (~((~v132(constB55)) | (~v154(constB55))))))),
% 9.89/7.41 inference(monotonicity,[status(thm)],[37224])).
% 9.89/7.41 tff(37226,plain,
% 9.89/7.41 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB55) <=> (~((~v154(constB55)) | (~v132(constB55)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB55) <=> (~((~v132(constB55)) | (~v154(constB55))))))),
% 9.89/7.41 inference(transitivity,[status(thm)],[37225, 37223])).
% 9.89/7.41 tff(37227,plain,
% 9.89/7.41 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB55) <=> (~((~v154(constB55)) | (~v132(constB55)))))),
% 9.89/7.41 inference(quant_inst,[status(thm)],[])).
% 9.89/7.41 tff(37228,plain,
% 9.89/7.41 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB55) <=> (~((~v132(constB55)) | (~v154(constB55)))))),
% 9.89/7.41 inference(modus_ponens,[status(thm)],[37227, 37226])).
% 9.89/7.41 tff(37229,plain,
% 9.89/7.41 (v153(constB55) <=> (~((~v132(constB55)) | (~v154(constB55))))),
% 9.89/7.41 inference(unit_resolution,[status(thm)],[37228, 399])).
% 9.89/7.41 tff(37230,plain,
% 9.89/7.41 ((~![VarNext: $i] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB55) <=> v137(constB55))),
% 9.89/7.41 inference(quant_inst,[status(thm)],[])).
% 9.89/7.41 tff(37231,plain,
% 9.89/7.41 (v132(constB55) <=> v137(constB55)),
% 9.89/7.41 inference(unit_resolution,[status(thm)],[37230, 558])).
% 9.89/7.41 tff(37232,plain,
% 9.89/7.41 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB54, constB55)) | (v137(constB55) <=> v135(constB54)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB54, constB55)) | (v137(constB55) <=> v135(constB54)))),
% 9.89/7.41 inference(rewrite,[status(thm)],[])).
% 9.89/7.41 tff(37233,plain,
% 9.89/7.41 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB54, constB55)) | (v137(constB55) <=> v135(constB54)))),
% 9.89/7.41 inference(quant_inst,[status(thm)],[])).
% 9.89/7.41 tff(37234,plain,
% 9.89/7.41 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB54, constB55)) | (v137(constB55) <=> v135(constB54))),
% 9.89/7.41 inference(modus_ponens,[status(thm)],[37233, 37232])).
% 9.89/7.41 tff(37235,plain,
% 9.89/7.41 (v137(constB55) <=> v135(constB54)),
% 9.89/7.41 inference(unit_resolution,[status(thm)],[37234, 7259, 570])).
% 9.89/7.41 tff(37236,plain,
% 9.89/7.41 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB54) <=> (v138(constB54) | v142(constB54)))),
% 9.89/7.41 inference(quant_inst,[status(thm)],[])).
% 9.89/7.41 tff(37237,plain,
% 9.89/7.41 (v135(constB54) <=> (v138(constB54) | v142(constB54))),
% 9.89/7.41 inference(unit_resolution,[status(thm)],[37236, 584])).
% 9.89/7.41 tff(37238,plain,
% 9.89/7.41 ((~![VarCurr: $i] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB54) <=> (~((~v143(constB54)) | (~v144(constB54)))))),
% 9.89/7.41 inference(quant_inst,[status(thm)],[])).
% 9.89/7.41 tff(37239,plain,
% 9.89/7.41 (v142(constB54) <=> (~((~v143(constB54)) | (~v144(constB54))))),
% 9.89/7.41 inference(unit_resolution,[status(thm)],[37238, 596])).
% 9.89/7.41 tff(37240,plain,
% 9.89/7.41 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB54) <=> (~((~v141(constB54)) | (~v145(constB54)))))),
% 9.89/7.41 inference(quant_inst,[status(thm)],[])).
% 9.89/7.41 tff(37241,plain,
% 9.89/7.41 (v144(constB54) <=> (~((~v141(constB54)) | (~v145(constB54))))),
% 9.89/7.41 inference(unit_resolution,[status(thm)],[37240, 608])).
% 9.89/7.41 tff(37242,plain,
% 9.89/7.41 (((~v141(constB54)) | (~v145(constB54))) | v141(constB54)),
% 9.89/7.41 inference(tautology,[status(thm)],[])).
% 9.89/7.41 tff(37243,plain,
% 9.89/7.41 ((~v141(constB54)) | (~v145(constB54))),
% 9.89/7.41 inference(unit_resolution,[status(thm)],[37242, 27150])).
% 9.89/7.41 tff(37244,plain,
% 9.89/7.41 ((~(v144(constB54) <=> (~((~v141(constB54)) | (~v145(constB54)))))) | (~v144(constB54)) | (~((~v141(constB54)) | (~v145(constB54))))),
% 9.89/7.41 inference(tautology,[status(thm)],[])).
% 9.89/7.41 tff(37245,plain,
% 9.89/7.41 ((~(v144(constB54) <=> (~((~v141(constB54)) | (~v145(constB54)))))) | (~v144(constB54))),
% 9.89/7.41 inference(unit_resolution,[status(thm)],[37244, 37243])).
% 9.89/7.41 tff(37246,plain,
% 9.89/7.41 (~v144(constB54)),
% 9.89/7.41 inference(unit_resolution,[status(thm)],[37245, 37241])).
% 9.89/7.41 tff(37247,plain,
% 9.89/7.41 (((~v143(constB54)) | (~v144(constB54))) | v144(constB54)),
% 9.89/7.41 inference(tautology,[status(thm)],[])).
% 9.89/7.41 tff(37248,plain,
% 9.89/7.41 ((~v143(constB54)) | (~v144(constB54))),
% 9.89/7.41 inference(unit_resolution,[status(thm)],[37247, 37246])).
% 9.89/7.41 tff(37249,plain,
% 9.89/7.41 ((~(v142(constB54) <=> (~((~v143(constB54)) | (~v144(constB54)))))) | (~v142(constB54)) | (~((~v143(constB54)) | (~v144(constB54))))),
% 9.89/7.41 inference(tautology,[status(thm)],[])).
% 9.89/7.41 tff(37250,plain,
% 9.89/7.41 (~v142(constB54)),
% 9.89/7.41 inference(unit_resolution,[status(thm)],[37249, 37248, 37239])).
% 9.89/7.41 tff(37251,plain,
% 9.89/7.41 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB54) <=> (~((~v132(constB54)) | (~v139(constB54)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB54) <=> (~((~v132(constB54)) | (~v139(constB54))))))),
% 9.89/7.41 inference(rewrite,[status(thm)],[])).
% 9.89/7.41 tff(37252,plain,
% 9.89/7.41 ((v138(constB54) <=> (~((~v139(constB54)) | (~v132(constB54))))) <=> (v138(constB54) <=> (~((~v132(constB54)) | (~v139(constB54)))))),
% 9.89/7.41 inference(rewrite,[status(thm)],[])).
% 9.89/7.41 tff(37253,plain,
% 9.89/7.41 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB54) <=> (~((~v139(constB54)) | (~v132(constB54)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB54) <=> (~((~v132(constB54)) | (~v139(constB54))))))),
% 9.89/7.41 inference(monotonicity,[status(thm)],[37252])).
% 9.89/7.41 tff(37254,plain,
% 9.89/7.41 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB54) <=> (~((~v139(constB54)) | (~v132(constB54)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB54) <=> (~((~v132(constB54)) | (~v139(constB54))))))),
% 9.89/7.41 inference(transitivity,[status(thm)],[37253, 37251])).
% 9.89/7.41 tff(37255,plain,
% 9.89/7.41 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB54) <=> (~((~v139(constB54)) | (~v132(constB54)))))),
% 9.89/7.41 inference(quant_inst,[status(thm)],[])).
% 9.89/7.41 tff(37256,plain,
% 9.89/7.41 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB54) <=> (~((~v132(constB54)) | (~v139(constB54)))))),
% 9.89/7.41 inference(modus_ponens,[status(thm)],[37255, 37254])).
% 9.89/7.41 tff(37257,plain,
% 9.89/7.41 (v138(constB54) <=> (~((~v132(constB54)) | (~v139(constB54))))),
% 9.89/7.41 inference(unit_resolution,[status(thm)],[37256, 644])).
% 9.89/7.41 tff(37258,plain,
% 9.89/7.41 ((~![VarNext: $i] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB54) <=> v137(constB54))),
% 9.89/7.41 inference(quant_inst,[status(thm)],[])).
% 9.89/7.41 tff(37259,plain,
% 9.89/7.41 (v132(constB54) <=> v137(constB54)),
% 9.89/7.41 inference(unit_resolution,[status(thm)],[37258, 558])).
% 9.89/7.41 tff(37260,plain,
% 9.89/7.41 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB53, constB54)) | (v137(constB54) <=> v135(constB53)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB53, constB54)) | (v137(constB54) <=> v135(constB53)))),
% 9.89/7.41 inference(rewrite,[status(thm)],[])).
% 9.89/7.41 tff(37261,plain,
% 9.89/7.41 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB53, constB54)) | (v137(constB54) <=> v135(constB53)))),
% 9.89/7.41 inference(quant_inst,[status(thm)],[])).
% 9.89/7.41 tff(37262,plain,
% 9.89/7.41 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB53, constB54)) | (v137(constB54) <=> v135(constB53))),
% 9.89/7.41 inference(modus_ponens,[status(thm)],[37261, 37260])).
% 9.89/7.41 tff(37263,plain,
% 9.89/7.41 (v137(constB54) <=> v135(constB53)),
% 9.89/7.41 inference(unit_resolution,[status(thm)],[37262, 7291, 570])).
% 9.89/7.41 tff(37264,plain,
% 9.89/7.41 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB53) <=> (v138(constB53) | v142(constB53)))),
% 9.89/7.41 inference(quant_inst,[status(thm)],[])).
% 9.89/7.41 tff(37265,plain,
% 9.89/7.41 (v135(constB53) <=> (v138(constB53) | v142(constB53))),
% 9.89/7.41 inference(unit_resolution,[status(thm)],[37264, 584])).
% 9.89/7.41 tff(37266,plain,
% 9.89/7.41 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB53) <=> (~((~v132(constB53)) | (~v139(constB53)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB53) <=> (~((~v132(constB53)) | (~v139(constB53))))))),
% 9.89/7.41 inference(rewrite,[status(thm)],[])).
% 9.89/7.41 tff(37267,plain,
% 9.89/7.41 ((v138(constB53) <=> (~((~v139(constB53)) | (~v132(constB53))))) <=> (v138(constB53) <=> (~((~v132(constB53)) | (~v139(constB53)))))),
% 9.89/7.41 inference(rewrite,[status(thm)],[])).
% 9.89/7.41 tff(37268,plain,
% 9.89/7.41 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB53) <=> (~((~v139(constB53)) | (~v132(constB53)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB53) <=> (~((~v132(constB53)) | (~v139(constB53))))))),
% 9.89/7.41 inference(monotonicity,[status(thm)],[37267])).
% 9.89/7.41 tff(37269,plain,
% 9.89/7.41 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB53) <=> (~((~v139(constB53)) | (~v132(constB53)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB53) <=> (~((~v132(constB53)) | (~v139(constB53))))))),
% 9.89/7.41 inference(transitivity,[status(thm)],[37268, 37266])).
% 9.89/7.41 tff(37270,plain,
% 9.89/7.41 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB53) <=> (~((~v139(constB53)) | (~v132(constB53)))))),
% 9.89/7.41 inference(quant_inst,[status(thm)],[])).
% 9.89/7.41 tff(37271,plain,
% 9.89/7.41 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB53) <=> (~((~v132(constB53)) | (~v139(constB53)))))),
% 9.89/7.41 inference(modus_ponens,[status(thm)],[37270, 37269])).
% 9.89/7.41 tff(37272,plain,
% 9.89/7.41 (v138(constB53) <=> (~((~v132(constB53)) | (~v139(constB53))))),
% 9.89/7.41 inference(unit_resolution,[status(thm)],[37271, 644])).
% 9.89/7.41 tff(37273,plain,
% 9.89/7.41 (((~v132(constB53)) | (~v139(constB53))) | v139(constB53)),
% 9.89/7.41 inference(tautology,[status(thm)],[])).
% 9.89/7.41 tff(37274,plain,
% 9.89/7.41 ((~v132(constB53)) | (~v139(constB53))),
% 9.89/7.41 inference(unit_resolution,[status(thm)],[37273, 27243])).
% 9.89/7.41 tff(37275,plain,
% 9.89/7.41 ((~(v138(constB53) <=> (~((~v132(constB53)) | (~v139(constB53)))))) | (~v138(constB53)) | (~((~v132(constB53)) | (~v139(constB53))))),
% 9.89/7.41 inference(tautology,[status(thm)],[])).
% 9.89/7.41 tff(37276,plain,
% 9.89/7.41 (~v138(constB53)),
% 9.89/7.41 inference(unit_resolution,[status(thm)],[37275, 37274, 37272])).
% 9.89/7.41 tff(37277,plain,
% 9.89/7.41 ((~![VarCurr: $i] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB53) <=> (~((~v143(constB53)) | (~v144(constB53)))))),
% 9.89/7.41 inference(quant_inst,[status(thm)],[])).
% 9.89/7.41 tff(37278,plain,
% 9.89/7.41 (v142(constB53) <=> (~((~v143(constB53)) | (~v144(constB53))))),
% 9.89/7.41 inference(unit_resolution,[status(thm)],[37277, 596])).
% 9.89/7.41 tff(37279,plain,
% 9.89/7.41 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB53) <=> (~((~v141(constB53)) | (~v145(constB53)))))),
% 9.89/7.41 inference(quant_inst,[status(thm)],[])).
% 9.89/7.41 tff(37280,plain,
% 9.89/7.41 (v144(constB53) <=> (~((~v141(constB53)) | (~v145(constB53))))),
% 9.89/7.41 inference(unit_resolution,[status(thm)],[37279, 608])).
% 9.89/7.41 tff(37281,plain,
% 9.89/7.41 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB53) <=> (~(v84(constB53, bitIndex2) | v84(constB53, bitIndex1) | (~v84(constB53, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB53) <=> (~(v84(constB53, bitIndex2) | v84(constB53, bitIndex1) | (~v84(constB53, bitIndex0))))))),
% 9.89/7.41 inference(rewrite,[status(thm)],[])).
% 9.89/7.41 tff(37282,plain,
% 9.89/7.41 ((v145(constB53) <=> (~(v84(constB53, bitIndex1) | v84(constB53, bitIndex2) | (~v84(constB53, bitIndex0))))) <=> (v145(constB53) <=> (~(v84(constB53, bitIndex2) | v84(constB53, bitIndex1) | (~v84(constB53, bitIndex0)))))),
% 9.89/7.41 inference(rewrite,[status(thm)],[])).
% 9.89/7.41 tff(37283,plain,
% 9.89/7.41 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB53) <=> (~(v84(constB53, bitIndex1) | v84(constB53, bitIndex2) | (~v84(constB53, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB53) <=> (~(v84(constB53, bitIndex2) | v84(constB53, bitIndex1) | (~v84(constB53, bitIndex0))))))),
% 9.89/7.41 inference(monotonicity,[status(thm)],[37282])).
% 9.89/7.41 tff(37284,plain,
% 9.89/7.41 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB53) <=> (~(v84(constB53, bitIndex1) | v84(constB53, bitIndex2) | (~v84(constB53, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB53) <=> (~(v84(constB53, bitIndex2) | v84(constB53, bitIndex1) | (~v84(constB53, bitIndex0))))))),
% 9.89/7.41 inference(transitivity,[status(thm)],[37283, 37281])).
% 9.89/7.41 tff(37285,plain,
% 9.89/7.41 ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB53) <=> (~(v84(constB53, bitIndex1) | v84(constB53, bitIndex2) | (~v84(constB53, bitIndex0)))))),
% 9.89/7.41 inference(quant_inst,[status(thm)],[])).
% 9.89/7.41 tff(37286,plain,
% 9.89/7.41 ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB53) <=> (~(v84(constB53, bitIndex2) | v84(constB53, bitIndex1) | (~v84(constB53, bitIndex0)))))),
% 9.89/7.41 inference(modus_ponens,[status(thm)],[37285, 37284])).
% 9.89/7.41 tff(37287,plain,
% 9.89/7.41 (v145(constB53) <=> (~(v84(constB53, bitIndex2) | v84(constB53, bitIndex1) | (~v84(constB53, bitIndex0))))),
% 9.89/7.41 inference(unit_resolution,[status(thm)],[37286, 755])).
% 9.89/7.41 tff(37288,plain,
% 9.89/7.41 ((v84(constB53, bitIndex2) | v84(constB53, bitIndex1) | (~v84(constB53, bitIndex0))) | (~v84(constB53, bitIndex1))),
% 9.89/7.41 inference(tautology,[status(thm)],[])).
% 9.89/7.41 tff(37289,plain,
% 9.89/7.41 (v84(constB53, bitIndex2) | v84(constB53, bitIndex1) | (~v84(constB53, bitIndex0))),
% 9.89/7.41 inference(unit_resolution,[status(thm)],[37288, 14228])).
% 9.89/7.41 tff(37290,plain,
% 9.89/7.41 ((~(v145(constB53) <=> (~(v84(constB53, bitIndex2) | v84(constB53, bitIndex1) | (~v84(constB53, bitIndex0)))))) | (~v145(constB53)) | (~(v84(constB53, bitIndex2) | v84(constB53, bitIndex1) | (~v84(constB53, bitIndex0))))),
% 9.89/7.41 inference(tautology,[status(thm)],[])).
% 9.89/7.41 tff(37291,plain,
% 9.89/7.41 (~v145(constB53)),
% 9.89/7.41 inference(unit_resolution,[status(thm)],[37290, 37289, 37287])).
% 9.89/7.41 tff(37292,plain,
% 9.89/7.41 (((~v141(constB53)) | (~v145(constB53))) | v145(constB53)),
% 9.89/7.41 inference(tautology,[status(thm)],[])).
% 9.89/7.41 tff(37293,plain,
% 9.89/7.41 ((~v141(constB53)) | (~v145(constB53))),
% 9.89/7.41 inference(unit_resolution,[status(thm)],[37292, 37291])).
% 9.89/7.41 tff(37294,plain,
% 9.89/7.41 ((~(v144(constB53) <=> (~((~v141(constB53)) | (~v145(constB53)))))) | (~v144(constB53)) | (~((~v141(constB53)) | (~v145(constB53))))),
% 9.89/7.41 inference(tautology,[status(thm)],[])).
% 9.89/7.41 tff(37295,plain,
% 9.89/7.41 (~v144(constB53)),
% 9.89/7.41 inference(unit_resolution,[status(thm)],[37294, 37293, 37280])).
% 9.89/7.41 tff(37296,plain,
% 9.89/7.41 (((~v143(constB53)) | (~v144(constB53))) | v144(constB53)),
% 9.89/7.41 inference(tautology,[status(thm)],[])).
% 9.89/7.41 tff(37297,plain,
% 9.89/7.41 ((~v143(constB53)) | (~v144(constB53))),
% 9.89/7.41 inference(unit_resolution,[status(thm)],[37296, 37295])).
% 9.89/7.41 tff(37298,plain,
% 9.89/7.41 ((~(v142(constB53) <=> (~((~v143(constB53)) | (~v144(constB53)))))) | (~v142(constB53)) | (~((~v143(constB53)) | (~v144(constB53))))),
% 9.89/7.41 inference(tautology,[status(thm)],[])).
% 9.89/7.41 tff(37299,plain,
% 9.89/7.41 (~v142(constB53)),
% 9.89/7.41 inference(unit_resolution,[status(thm)],[37298, 37297, 37278])).
% 9.89/7.41 tff(37300,plain,
% 9.89/7.41 ((~(v138(constB53) | v142(constB53))) | v138(constB53) | v142(constB53)),
% 9.89/7.41 inference(tautology,[status(thm)],[])).
% 9.89/7.41 tff(37301,plain,
% 9.89/7.41 (~(v138(constB53) | v142(constB53))),
% 9.89/7.41 inference(unit_resolution,[status(thm)],[37300, 37299, 37276])).
% 9.89/7.41 tff(37302,plain,
% 9.89/7.41 ((~(v135(constB53) <=> (v138(constB53) | v142(constB53)))) | (~v135(constB53)) | (v138(constB53) | v142(constB53))),
% 9.89/7.41 inference(tautology,[status(thm)],[])).
% 9.89/7.41 tff(37303,plain,
% 9.89/7.41 (~v135(constB53)),
% 9.89/7.41 inference(unit_resolution,[status(thm)],[37302, 37301, 37265])).
% 9.89/7.41 tff(37304,plain,
% 9.89/7.41 ((~(v137(constB54) <=> v135(constB53))) | (~v137(constB54)) | v135(constB53)),
% 9.89/7.41 inference(tautology,[status(thm)],[])).
% 9.89/7.41 tff(37305,plain,
% 9.89/7.41 (~v137(constB54)),
% 9.89/7.41 inference(unit_resolution,[status(thm)],[37304, 37303, 37263])).
% 9.89/7.41 tff(37306,plain,
% 9.89/7.41 ((~(v132(constB54) <=> v137(constB54))) | (~v132(constB54)) | v137(constB54)),
% 9.89/7.41 inference(tautology,[status(thm)],[])).
% 9.89/7.41 tff(37307,plain,
% 9.89/7.41 (~v132(constB54)),
% 9.89/7.41 inference(unit_resolution,[status(thm)],[37306, 37305, 37259])).
% 9.89/7.41 tff(37308,plain,
% 9.89/7.41 (((~v132(constB54)) | (~v139(constB54))) | v132(constB54)),
% 9.89/7.41 inference(tautology,[status(thm)],[])).
% 9.89/7.41 tff(37309,plain,
% 9.89/7.41 ((~v132(constB54)) | (~v139(constB54))),
% 9.89/7.41 inference(unit_resolution,[status(thm)],[37308, 37307])).
% 9.89/7.41 tff(37310,plain,
% 9.89/7.41 ((~(v138(constB54) <=> (~((~v132(constB54)) | (~v139(constB54)))))) | (~v138(constB54)) | (~((~v132(constB54)) | (~v139(constB54))))),
% 9.89/7.41 inference(tautology,[status(thm)],[])).
% 9.89/7.41 tff(37311,plain,
% 9.89/7.41 (~v138(constB54)),
% 9.89/7.41 inference(unit_resolution,[status(thm)],[37310, 37309, 37257])).
% 9.89/7.41 tff(37312,plain,
% 9.89/7.41 ((~(v138(constB54) | v142(constB54))) | v138(constB54) | v142(constB54)),
% 9.89/7.41 inference(tautology,[status(thm)],[])).
% 9.89/7.41 tff(37313,plain,
% 9.89/7.41 (~(v138(constB54) | v142(constB54))),
% 9.89/7.41 inference(unit_resolution,[status(thm)],[37312, 37311, 37250])).
% 9.89/7.41 tff(37314,plain,
% 9.89/7.41 ((~(v135(constB54) <=> (v138(constB54) | v142(constB54)))) | (~v135(constB54)) | (v138(constB54) | v142(constB54))),
% 9.89/7.41 inference(tautology,[status(thm)],[])).
% 9.89/7.41 tff(37315,plain,
% 9.89/7.41 (~v135(constB54)),
% 9.89/7.41 inference(unit_resolution,[status(thm)],[37314, 37313, 37237])).
% 9.89/7.41 tff(37316,plain,
% 9.89/7.41 ((~(v137(constB55) <=> v135(constB54))) | (~v137(constB55)) | v135(constB54)),
% 9.89/7.41 inference(tautology,[status(thm)],[])).
% 9.89/7.41 tff(37317,plain,
% 9.89/7.41 (~v137(constB55)),
% 9.89/7.41 inference(unit_resolution,[status(thm)],[37316, 37315, 37235])).
% 9.89/7.41 tff(37318,plain,
% 9.89/7.41 ((~(v132(constB55) <=> v137(constB55))) | (~v132(constB55)) | v137(constB55)),
% 9.89/7.41 inference(tautology,[status(thm)],[])).
% 9.89/7.41 tff(37319,plain,
% 9.89/7.41 (~v132(constB55)),
% 9.89/7.41 inference(unit_resolution,[status(thm)],[37318, 37317, 37231])).
% 9.89/7.41 tff(37320,plain,
% 9.89/7.41 (((~v132(constB55)) | (~v154(constB55))) | v132(constB55)),
% 9.89/7.41 inference(tautology,[status(thm)],[])).
% 9.89/7.41 tff(37321,plain,
% 9.89/7.41 ((~v132(constB55)) | (~v154(constB55))),
% 9.89/7.41 inference(unit_resolution,[status(thm)],[37320, 37319])).
% 9.89/7.41 tff(37322,plain,
% 9.89/7.41 ((~(v153(constB55) <=> (~((~v132(constB55)) | (~v154(constB55)))))) | (~v153(constB55)) | (~((~v132(constB55)) | (~v154(constB55))))),
% 9.89/7.41 inference(tautology,[status(thm)],[])).
% 9.89/7.41 tff(37323,plain,
% 9.89/7.41 (~v153(constB55)),
% 9.89/7.41 inference(unit_resolution,[status(thm)],[37322, 37321, 37229])).
% 9.89/7.41 tff(37324,plain,
% 9.89/7.41 ((~(v153(constB55) | v155(constB55))) | v153(constB55) | v155(constB55)),
% 9.89/7.41 inference(tautology,[status(thm)],[])).
% 9.89/7.41 tff(37325,plain,
% 9.89/7.41 (~(v153(constB55) | v155(constB55))),
% 9.89/7.41 inference(unit_resolution,[status(thm)],[37324, 37323, 37222])).
% 9.89/7.41 tff(37326,plain,
% 9.89/7.41 ((~(v150(constB55) <=> (v153(constB55) | v155(constB55)))) | (~v150(constB55)) | (v153(constB55) | v155(constB55))),
% 9.89/7.41 inference(tautology,[status(thm)],[])).
% 9.89/7.41 tff(37327,plain,
% 9.89/7.41 (~v150(constB55)),
% 9.89/7.41 inference(unit_resolution,[status(thm)],[37326, 37325, 37149])).
% 9.89/7.41 tff(37328,plain,
% 9.89/7.41 ((~(v152(constB56) <=> v150(constB55))) | (~v152(constB56)) | v150(constB55)),
% 9.89/7.41 inference(tautology,[status(thm)],[])).
% 9.89/7.41 tff(37329,plain,
% 9.89/7.41 (~v152(constB56)),
% 9.89/7.41 inference(unit_resolution,[status(thm)],[37328, 37327, 37147])).
% 9.89/7.41 tff(37330,plain,
% 9.89/7.41 ((~(v130(constB56) <=> v152(constB56))) | (~v130(constB56)) | v152(constB56)),
% 9.89/7.41 inference(tautology,[status(thm)],[])).
% 9.89/7.41 tff(37331,plain,
% 9.89/7.41 (~v130(constB56)),
% 9.89/7.41 inference(unit_resolution,[status(thm)],[37330, 37329, 37143])).
% 9.89/7.41 tff(37332,plain,
% 9.89/7.41 (((~v130(constB56)) | (~v139(constB56))) | v130(constB56)),
% 9.89/7.41 inference(tautology,[status(thm)],[])).
% 9.89/7.41 tff(37333,plain,
% 9.89/7.41 ((~v130(constB56)) | (~v139(constB56))),
% 9.89/7.41 inference(unit_resolution,[status(thm)],[37332, 37331])).
% 9.89/7.41 tff(37334,plain,
% 9.89/7.41 ((~(v155(constB56) <=> (~((~v130(constB56)) | (~v139(constB56)))))) | (~v155(constB56)) | (~((~v130(constB56)) | (~v139(constB56))))),
% 9.89/7.41 inference(tautology,[status(thm)],[])).
% 9.89/7.41 tff(37335,plain,
% 9.89/7.41 (~v155(constB56)),
% 9.89/7.41 inference(unit_resolution,[status(thm)],[37334, 37333, 37141])).
% 9.89/7.41 tff(37336,plain,
% 9.89/7.41 ((~(v153(constB56) | v155(constB56))) | v153(constB56) | v155(constB56)),
% 9.89/7.41 inference(tautology,[status(thm)],[])).
% 9.89/7.41 tff(37337,plain,
% 9.89/7.41 (~(v153(constB56) | v155(constB56))),
% 9.89/7.41 inference(unit_resolution,[status(thm)],[37336, 37335, 37134])).
% 9.89/7.41 tff(37338,plain,
% 9.89/7.41 ((~(v150(constB56) <=> (v153(constB56) | v155(constB56)))) | (~v150(constB56)) | (v153(constB56) | v155(constB56))),
% 9.89/7.41 inference(tautology,[status(thm)],[])).
% 9.89/7.41 tff(37339,plain,
% 9.89/7.41 (~v150(constB56)),
% 9.89/7.41 inference(unit_resolution,[status(thm)],[37338, 37337, 37099])).
% 9.89/7.41 tff(37340,plain,
% 9.89/7.41 ((~(v152(constB57) <=> v150(constB56))) | (~v152(constB57)) | v150(constB56)),
% 9.89/7.41 inference(tautology,[status(thm)],[])).
% 9.89/7.41 tff(37341,plain,
% 9.89/7.41 (~v152(constB57)),
% 9.89/7.41 inference(unit_resolution,[status(thm)],[37340, 37339, 37097])).
% 9.89/7.41 tff(37342,plain,
% 9.89/7.41 ((~(v130(constB57) <=> v152(constB57))) | (~v130(constB57)) | v152(constB57)),
% 9.89/7.41 inference(tautology,[status(thm)],[])).
% 9.89/7.41 tff(37343,plain,
% 9.89/7.41 (~v130(constB57)),
% 9.89/7.41 inference(unit_resolution,[status(thm)],[37342, 37341, 37093])).
% 9.89/7.41 tff(37344,plain,
% 9.89/7.41 (((~v130(constB57)) | (~v154(constB57))) | v130(constB57)),
% 9.89/7.41 inference(tautology,[status(thm)],[])).
% 9.89/7.41 tff(37345,plain,
% 9.89/7.41 ((~v130(constB57)) | (~v154(constB57))),
% 9.89/7.41 inference(unit_resolution,[status(thm)],[37344, 37343])).
% 9.90/7.41 tff(37346,plain,
% 9.90/7.41 ((~(v164(constB57) <=> (~((~v130(constB57)) | (~v154(constB57)))))) | (~v164(constB57)) | (~((~v130(constB57)) | (~v154(constB57))))),
% 9.90/7.41 inference(tautology,[status(thm)],[])).
% 9.90/7.41 tff(37347,plain,
% 9.90/7.41 (~v164(constB57)),
% 9.90/7.41 inference(unit_resolution,[status(thm)],[37346, 37345, 37091])).
% 9.90/7.41 tff(37348,plain,
% 9.90/7.41 ((~(v163(constB57) | v164(constB57))) | v163(constB57) | v164(constB57)),
% 9.90/7.41 inference(tautology,[status(thm)],[])).
% 9.90/7.41 tff(37349,plain,
% 9.90/7.41 (~(v163(constB57) | v164(constB57))),
% 9.90/7.41 inference(unit_resolution,[status(thm)],[37348, 37347, 37084])).
% 9.90/7.41 tff(37350,plain,
% 9.90/7.41 ((~(v160(constB57) <=> (v163(constB57) | v164(constB57)))) | (~v160(constB57)) | (v163(constB57) | v164(constB57))),
% 9.90/7.41 inference(tautology,[status(thm)],[])).
% 9.90/7.41 tff(37351,plain,
% 9.90/7.41 (~v160(constB57)),
% 9.90/7.41 inference(unit_resolution,[status(thm)],[37350, 37349, 37073])).
% 9.90/7.41 tff(37352,plain,
% 9.90/7.41 ((~(v162(constB58) <=> v160(constB57))) | (~v162(constB58)) | v160(constB57)),
% 9.90/7.41 inference(tautology,[status(thm)],[])).
% 9.90/7.41 tff(37353,plain,
% 9.90/7.41 (~v162(constB58)),
% 9.90/7.41 inference(unit_resolution,[status(thm)],[37352, 37351, 37071])).
% 9.90/7.41 tff(37354,plain,
% 9.90/7.41 ((~(v128(constB58) <=> v162(constB58))) | (~v128(constB58)) | v162(constB58)),
% 9.90/7.41 inference(tautology,[status(thm)],[])).
% 9.90/7.41 tff(37355,plain,
% 9.90/7.41 (~v128(constB58)),
% 9.90/7.41 inference(unit_resolution,[status(thm)],[37354, 37353, 37067])).
% 9.90/7.41 tff(37356,plain,
% 9.90/7.41 (((~v128(constB58)) | (~v139(constB58))) | v128(constB58)),
% 9.90/7.41 inference(tautology,[status(thm)],[])).
% 9.90/7.41 tff(37357,plain,
% 9.90/7.41 ((~v128(constB58)) | (~v139(constB58))),
% 9.90/7.41 inference(unit_resolution,[status(thm)],[37356, 37355])).
% 9.90/7.41 tff(37358,plain,
% 9.90/7.41 ((~(v163(constB58) <=> (~((~v128(constB58)) | (~v139(constB58)))))) | (~v163(constB58)) | (~((~v128(constB58)) | (~v139(constB58))))),
% 9.90/7.41 inference(tautology,[status(thm)],[])).
% 9.90/7.41 tff(37359,plain,
% 9.90/7.41 (~v163(constB58)),
% 9.90/7.41 inference(unit_resolution,[status(thm)],[37358, 37357, 37065])).
% 9.90/7.41 tff(37360,plain,
% 9.90/7.41 ((~(v163(constB58) | v164(constB58))) | v163(constB58) | v164(constB58)),
% 9.90/7.41 inference(tautology,[status(thm)],[])).
% 9.90/7.41 tff(37361,plain,
% 9.90/7.41 (~(v163(constB58) | v164(constB58))),
% 9.90/7.41 inference(unit_resolution,[status(thm)],[37360, 37359, 37058])).
% 9.90/7.41 tff(37362,plain,
% 9.90/7.41 ((~(v160(constB58) <=> (v163(constB58) | v164(constB58)))) | (~v160(constB58)) | (v163(constB58) | v164(constB58))),
% 9.90/7.41 inference(tautology,[status(thm)],[])).
% 9.90/7.41 tff(37363,plain,
% 9.90/7.41 (~v160(constB58)),
% 9.90/7.41 inference(unit_resolution,[status(thm)],[37362, 37361, 37035])).
% 9.90/7.41 tff(37364,plain,
% 9.90/7.41 ((~(v162(constB59) <=> v160(constB58))) | (~v162(constB59)) | v160(constB58)),
% 9.90/7.41 inference(tautology,[status(thm)],[])).
% 9.90/7.41 tff(37365,plain,
% 9.90/7.41 (~v162(constB59)),
% 9.90/7.41 inference(unit_resolution,[status(thm)],[37364, 37363, 37033])).
% 9.90/7.41 tff(37366,plain,
% 9.90/7.41 ($false),
% 9.90/7.41 inference(unit_resolution,[status(thm)],[37365, 37029])).
% 9.90/7.41 tff(37367,plain,(~(constB59 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.90/7.41 tff(37368,assumption,(constB67 = VarCurr!0), introduced(assumption)).
% 9.90/7.41 tff(37369,plain,
% 9.90/7.41 (v162(constB67) <=> v162(VarCurr!0)),
% 9.90/7.41 inference(monotonicity,[status(thm)],[37368])).
% 9.90/7.41 tff(37370,plain,
% 9.90/7.41 (v162(VarCurr!0) <=> v162(constB67)),
% 9.90/7.41 inference(symmetry,[status(thm)],[37369])).
% 9.90/7.41 tff(37371,plain,
% 9.90/7.41 (v162(constB67)),
% 9.90/7.41 inference(modus_ponens,[status(thm)],[59, 37370])).
% 9.90/7.41 tff(37372,plain,
% 9.90/7.41 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB66, constB67)) | (v162(constB67) <=> v160(constB66)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB66, constB67)) | (v162(constB67) <=> v160(constB66)))),
% 9.90/7.41 inference(rewrite,[status(thm)],[])).
% 9.90/7.41 tff(37373,plain,
% 9.90/7.41 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB66, constB67)) | (v162(constB67) <=> v160(constB66)))),
% 9.90/7.41 inference(quant_inst,[status(thm)],[])).
% 9.90/7.41 tff(37374,plain,
% 9.90/7.41 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB66, constB67)) | (v162(constB67) <=> v160(constB66))),
% 9.90/7.41 inference(modus_ponens,[status(thm)],[37373, 37372])).
% 9.90/7.41 tff(37375,plain,
% 9.90/7.41 (v162(constB67) <=> v160(constB66)),
% 9.90/7.41 inference(unit_resolution,[status(thm)],[37374, 6712, 70])).
% 9.90/7.41 tff(37376,plain,
% 9.90/7.41 ((~![VarCurr: $i] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB66) <=> (v163(constB66) | v164(constB66)))),
% 9.90/7.41 inference(quant_inst,[status(thm)],[])).
% 9.90/7.41 tff(37377,plain,
% 9.90/7.41 (v160(constB66) <=> (v163(constB66) | v164(constB66))),
% 9.90/7.41 inference(unit_resolution,[status(thm)],[37376, 84])).
% 9.90/7.41 tff(37378,plain,
% 9.90/7.41 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB66) <=> (~((~v130(constB66)) | (~v154(constB66)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB66) <=> (~((~v130(constB66)) | (~v154(constB66))))))),
% 9.90/7.41 inference(rewrite,[status(thm)],[])).
% 9.90/7.41 tff(37379,plain,
% 9.90/7.41 ((v164(constB66) <=> (~((~v154(constB66)) | (~v130(constB66))))) <=> (v164(constB66) <=> (~((~v130(constB66)) | (~v154(constB66)))))),
% 9.90/7.41 inference(rewrite,[status(thm)],[])).
% 9.90/7.41 tff(37380,plain,
% 9.90/7.41 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB66) <=> (~((~v154(constB66)) | (~v130(constB66)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB66) <=> (~((~v130(constB66)) | (~v154(constB66))))))),
% 9.90/7.41 inference(monotonicity,[status(thm)],[37379])).
% 9.90/7.41 tff(37381,plain,
% 9.90/7.41 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB66) <=> (~((~v154(constB66)) | (~v130(constB66)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB66) <=> (~((~v130(constB66)) | (~v154(constB66))))))),
% 9.90/7.41 inference(transitivity,[status(thm)],[37380, 37378])).
% 9.90/7.41 tff(37382,plain,
% 9.90/7.41 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB66) <=> (~((~v154(constB66)) | (~v130(constB66)))))),
% 9.90/7.41 inference(quant_inst,[status(thm)],[])).
% 9.90/7.41 tff(37383,plain,
% 9.90/7.41 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB66) <=> (~((~v130(constB66)) | (~v154(constB66)))))),
% 9.90/7.41 inference(modus_ponens,[status(thm)],[37382, 37381])).
% 9.90/7.41 tff(37384,plain,
% 9.90/7.41 (v164(constB66) <=> (~((~v130(constB66)) | (~v154(constB66))))),
% 9.90/7.41 inference(unit_resolution,[status(thm)],[37383, 96])).
% 9.90/7.41 tff(37385,plain,
% 9.90/7.41 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB66) <=> (~((~v141(constB66)) | (~v143(constB66)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB66) <=> (~((~v141(constB66)) | (~v143(constB66))))))),
% 9.90/7.41 inference(rewrite,[status(thm)],[])).
% 9.90/7.41 tff(37386,plain,
% 9.90/7.41 ((v154(constB66) <=> (~((~v143(constB66)) | (~v141(constB66))))) <=> (v154(constB66) <=> (~((~v141(constB66)) | (~v143(constB66)))))),
% 9.90/7.41 inference(rewrite,[status(thm)],[])).
% 9.90/7.41 tff(37387,plain,
% 9.90/7.41 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB66) <=> (~((~v143(constB66)) | (~v141(constB66)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB66) <=> (~((~v141(constB66)) | (~v143(constB66))))))),
% 9.90/7.41 inference(monotonicity,[status(thm)],[37386])).
% 9.90/7.41 tff(37388,plain,
% 9.90/7.41 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB66) <=> (~((~v143(constB66)) | (~v141(constB66)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB66) <=> (~((~v141(constB66)) | (~v143(constB66))))))),
% 9.90/7.41 inference(transitivity,[status(thm)],[37387, 37385])).
% 9.90/7.41 tff(37389,plain,
% 9.90/7.41 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB66) <=> (~((~v143(constB66)) | (~v141(constB66)))))),
% 9.90/7.41 inference(quant_inst,[status(thm)],[])).
% 9.90/7.41 tff(37390,plain,
% 9.90/7.41 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB66) <=> (~((~v141(constB66)) | (~v143(constB66)))))),
% 9.90/7.42 inference(modus_ponens,[status(thm)],[37389, 37388])).
% 9.90/7.42 tff(37391,plain,
% 9.90/7.42 (v154(constB66) <=> (~((~v141(constB66)) | (~v143(constB66))))),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37390, 113])).
% 9.90/7.42 tff(37392,plain,
% 9.90/7.42 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB66) <=> (~((~v39(constB66)) | (~v9(constB66)))))),
% 9.90/7.42 inference(quant_inst,[status(thm)],[])).
% 9.90/7.42 tff(37393,plain,
% 9.90/7.42 (v141(constB66) <=> (~((~v39(constB66)) | (~v9(constB66))))),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37392, 130])).
% 9.90/7.42 tff(37394,plain,
% 9.90/7.42 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB66)) <=> v1(constB66))),
% 9.90/7.42 inference(quant_inst,[status(thm)],[])).
% 9.90/7.42 tff(37395,plain,
% 9.90/7.42 ((~v39(constB66)) <=> v1(constB66)),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37394, 139])).
% 9.90/7.42 tff(37396,plain,
% 9.90/7.42 ((~((~v39(constB66)) <=> v1(constB66))) | (~v39(constB66)) | (~v1(constB66))),
% 9.90/7.42 inference(tautology,[status(thm)],[])).
% 9.90/7.42 tff(37397,plain,
% 9.90/7.42 ((~((~v39(constB66)) <=> v1(constB66))) | (~v39(constB66))),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37396, 6774])).
% 9.90/7.42 tff(37398,plain,
% 9.90/7.42 (~v39(constB66)),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37397, 37395])).
% 9.90/7.42 tff(37399,plain,
% 9.90/7.42 (((~v39(constB66)) | (~v9(constB66))) | v39(constB66)),
% 9.90/7.42 inference(tautology,[status(thm)],[])).
% 9.90/7.42 tff(37400,plain,
% 9.90/7.42 ((~v39(constB66)) | (~v9(constB66))),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37399, 37398])).
% 9.90/7.42 tff(37401,plain,
% 9.90/7.42 ((~(v141(constB66) <=> (~((~v39(constB66)) | (~v9(constB66)))))) | (~v141(constB66)) | (~((~v39(constB66)) | (~v9(constB66))))),
% 9.90/7.42 inference(tautology,[status(thm)],[])).
% 9.90/7.42 tff(37402,plain,
% 9.90/7.42 ((~(v141(constB66) <=> (~((~v39(constB66)) | (~v9(constB66)))))) | (~v141(constB66))),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37401, 37400])).
% 9.90/7.42 tff(37403,plain,
% 9.90/7.42 (~v141(constB66)),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37402, 37393])).
% 9.90/7.42 tff(37404,plain,
% 9.90/7.42 (((~v141(constB66)) | (~v143(constB66))) | v141(constB66)),
% 9.90/7.42 inference(tautology,[status(thm)],[])).
% 9.90/7.42 tff(37405,plain,
% 9.90/7.42 ((~v141(constB66)) | (~v143(constB66))),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37404, 37403])).
% 9.90/7.42 tff(37406,plain,
% 9.90/7.42 ((~(v154(constB66) <=> (~((~v141(constB66)) | (~v143(constB66)))))) | (~v154(constB66)) | (~((~v141(constB66)) | (~v143(constB66))))),
% 9.90/7.42 inference(tautology,[status(thm)],[])).
% 9.90/7.42 tff(37407,plain,
% 9.90/7.42 ((~(v154(constB66) <=> (~((~v141(constB66)) | (~v143(constB66)))))) | (~v154(constB66))),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37406, 37405])).
% 9.90/7.42 tff(37408,plain,
% 9.90/7.42 (~v154(constB66)),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37407, 37391])).
% 9.90/7.42 tff(37409,plain,
% 9.90/7.42 (((~v130(constB66)) | (~v154(constB66))) | v154(constB66)),
% 9.90/7.42 inference(tautology,[status(thm)],[])).
% 9.90/7.42 tff(37410,plain,
% 9.90/7.42 ((~v130(constB66)) | (~v154(constB66))),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37409, 37408])).
% 9.90/7.42 tff(37411,plain,
% 9.90/7.42 ((~(v164(constB66) <=> (~((~v130(constB66)) | (~v154(constB66)))))) | (~v164(constB66)) | (~((~v130(constB66)) | (~v154(constB66))))),
% 9.90/7.42 inference(tautology,[status(thm)],[])).
% 9.90/7.42 tff(37412,plain,
% 9.90/7.42 (~v164(constB66)),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37411, 37410, 37384])).
% 9.90/7.42 tff(37413,plain,
% 9.90/7.42 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB66) <=> (~((~v128(constB66)) | (~v139(constB66)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB66) <=> (~((~v128(constB66)) | (~v139(constB66))))))),
% 9.90/7.42 inference(rewrite,[status(thm)],[])).
% 9.90/7.42 tff(37414,plain,
% 9.90/7.42 ((v163(constB66) <=> (~((~v139(constB66)) | (~v128(constB66))))) <=> (v163(constB66) <=> (~((~v128(constB66)) | (~v139(constB66)))))),
% 9.90/7.42 inference(rewrite,[status(thm)],[])).
% 9.90/7.42 tff(37415,plain,
% 9.90/7.42 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB66) <=> (~((~v139(constB66)) | (~v128(constB66)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB66) <=> (~((~v128(constB66)) | (~v139(constB66))))))),
% 9.90/7.42 inference(monotonicity,[status(thm)],[37414])).
% 9.90/7.42 tff(37416,plain,
% 9.90/7.42 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB66) <=> (~((~v139(constB66)) | (~v128(constB66)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB66) <=> (~((~v128(constB66)) | (~v139(constB66))))))),
% 9.90/7.42 inference(transitivity,[status(thm)],[37415, 37413])).
% 9.90/7.42 tff(37417,plain,
% 9.90/7.42 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB66) <=> (~((~v139(constB66)) | (~v128(constB66)))))),
% 9.90/7.42 inference(quant_inst,[status(thm)],[])).
% 9.90/7.42 tff(37418,plain,
% 9.90/7.42 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB66) <=> (~((~v128(constB66)) | (~v139(constB66)))))),
% 9.90/7.42 inference(modus_ponens,[status(thm)],[37417, 37416])).
% 9.90/7.42 tff(37419,plain,
% 9.90/7.42 (v163(constB66) <=> (~((~v128(constB66)) | (~v139(constB66))))),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37418, 171])).
% 9.90/7.42 tff(37420,plain,
% 9.90/7.42 ((~![VarNext: $i] : (v128(VarNext) <=> v162(VarNext))) | (v128(constB66) <=> v162(constB66))),
% 9.90/7.42 inference(quant_inst,[status(thm)],[])).
% 9.90/7.42 tff(37421,plain,
% 9.90/7.42 (v128(constB66) <=> v162(constB66)),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37420, 13])).
% 9.90/7.42 tff(37422,plain,
% 9.90/7.42 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB65, constB66)) | (v162(constB66) <=> v160(constB65)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB65, constB66)) | (v162(constB66) <=> v160(constB65)))),
% 9.90/7.42 inference(rewrite,[status(thm)],[])).
% 9.90/7.42 tff(37423,plain,
% 9.90/7.42 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB65, constB66)) | (v162(constB66) <=> v160(constB65)))),
% 9.90/7.42 inference(quant_inst,[status(thm)],[])).
% 9.90/7.42 tff(37424,plain,
% 9.90/7.42 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB65, constB66)) | (v162(constB66) <=> v160(constB65))),
% 9.90/7.42 inference(modus_ponens,[status(thm)],[37423, 37422])).
% 9.90/7.42 tff(37425,plain,
% 9.90/7.42 (v162(constB66) <=> v160(constB65)),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37424, 6744, 70])).
% 9.90/7.42 tff(37426,plain,
% 9.90/7.42 ((~![VarCurr: $i] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB65) <=> (v163(constB65) | v164(constB65)))),
% 9.90/7.42 inference(quant_inst,[status(thm)],[])).
% 9.90/7.42 tff(37427,plain,
% 9.90/7.42 (v160(constB65) <=> (v163(constB65) | v164(constB65))),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37426, 84])).
% 9.90/7.42 tff(37428,plain,
% 9.90/7.42 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB65) <=> (~((~v128(constB65)) | (~v139(constB65)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB65) <=> (~((~v128(constB65)) | (~v139(constB65))))))),
% 9.90/7.42 inference(rewrite,[status(thm)],[])).
% 9.90/7.42 tff(37429,plain,
% 9.90/7.42 ((v163(constB65) <=> (~((~v139(constB65)) | (~v128(constB65))))) <=> (v163(constB65) <=> (~((~v128(constB65)) | (~v139(constB65)))))),
% 9.90/7.42 inference(rewrite,[status(thm)],[])).
% 9.90/7.42 tff(37430,plain,
% 9.90/7.42 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB65) <=> (~((~v139(constB65)) | (~v128(constB65)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB65) <=> (~((~v128(constB65)) | (~v139(constB65))))))),
% 9.90/7.42 inference(monotonicity,[status(thm)],[37429])).
% 9.90/7.42 tff(37431,plain,
% 9.90/7.42 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB65) <=> (~((~v139(constB65)) | (~v128(constB65)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB65) <=> (~((~v128(constB65)) | (~v139(constB65))))))),
% 9.90/7.42 inference(transitivity,[status(thm)],[37430, 37428])).
% 9.90/7.42 tff(37432,plain,
% 9.90/7.42 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB65) <=> (~((~v139(constB65)) | (~v128(constB65)))))),
% 9.90/7.42 inference(quant_inst,[status(thm)],[])).
% 9.90/7.42 tff(37433,plain,
% 9.90/7.42 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB65) <=> (~((~v128(constB65)) | (~v139(constB65)))))),
% 9.90/7.42 inference(modus_ponens,[status(thm)],[37432, 37431])).
% 9.90/7.42 tff(37434,plain,
% 9.90/7.42 (v163(constB65) <=> (~((~v128(constB65)) | (~v139(constB65))))),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37433, 171])).
% 9.90/7.42 tff(37435,plain,
% 9.90/7.42 ((~![VarCurr: $i] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB65)) <=> v140(constB65))),
% 9.90/7.42 inference(quant_inst,[status(thm)],[])).
% 9.90/7.42 tff(37436,plain,
% 9.90/7.42 ((~v139(constB65)) <=> v140(constB65)),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37435, 203])).
% 9.90/7.42 tff(37437,plain,
% 9.90/7.42 ((~![VarCurr: $i] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB65) <=> (v141(constB65) | v26(constB65)))),
% 9.90/7.42 inference(quant_inst,[status(thm)],[])).
% 9.90/7.42 tff(37438,plain,
% 9.90/7.42 (v140(constB65) <=> (v141(constB65) | v26(constB65))),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37437, 212])).
% 9.90/7.42 tff(37439,plain,
% 9.90/7.42 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB65) <=> (~((~v39(constB65)) | (~v9(constB65)))))),
% 9.90/7.42 inference(quant_inst,[status(thm)],[])).
% 9.90/7.42 tff(37440,plain,
% 9.90/7.42 (v141(constB65) <=> (~((~v39(constB65)) | (~v9(constB65))))),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37439, 130])).
% 9.90/7.42 tff(37441,plain,
% 9.90/7.42 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB65, constB66)) | (v13(constB66) <=> v9(constB65)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB65, constB66)) | (v13(constB66) <=> v9(constB65)))),
% 9.90/7.42 inference(rewrite,[status(thm)],[])).
% 9.90/7.42 tff(37442,plain,
% 9.90/7.42 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB65, constB66)) | (v13(constB66) <=> v9(constB65)))),
% 9.90/7.42 inference(quant_inst,[status(thm)],[])).
% 9.90/7.42 tff(37443,plain,
% 9.90/7.42 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB65, constB66)) | (v13(constB66) <=> v9(constB65))),
% 9.90/7.42 inference(modus_ponens,[status(thm)],[37442, 37441])).
% 9.90/7.42 tff(37444,plain,
% 9.90/7.42 (v13(constB66) <=> v9(constB65)),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37443, 6744, 226])).
% 9.90/7.42 tff(37445,plain,
% 9.90/7.42 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB66) <=> v13(constB66))),
% 9.90/7.42 inference(quant_inst,[status(thm)],[])).
% 9.90/7.42 tff(37446,plain,
% 9.90/7.42 (v6(constB66) <=> v13(constB66)),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37445, 240])).
% 9.90/7.42 tff(37447,plain,
% 9.90/7.42 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB66)) <=> v6(constB66))),
% 9.90/7.42 inference(quant_inst,[status(thm)],[])).
% 9.90/7.42 tff(37448,plain,
% 9.90/7.42 ((~v21(constB66)) <=> v6(constB66)),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37447, 249])).
% 9.90/7.42 tff(37449,plain,
% 9.90/7.42 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB66) <=> (v20(constB66) | v21(constB66)))),
% 9.90/7.42 inference(quant_inst,[status(thm)],[])).
% 9.90/7.42 tff(37450,plain,
% 9.90/7.42 (v19(constB66) <=> (v20(constB66) | v21(constB66))),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37449, 258])).
% 9.90/7.42 tff(37451,plain,
% 9.90/7.42 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB66) <=> (~((~v19(constB66)) | (~v22(constB66)))))),
% 9.90/7.42 inference(quant_inst,[status(thm)],[])).
% 9.90/7.42 tff(37452,plain,
% 9.90/7.42 (v18(constB66) <=> (~((~v19(constB66)) | (~v22(constB66))))),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37451, 270])).
% 9.90/7.42 tff(37453,plain,
% 9.90/7.42 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB66)) <=> v18(constB66))),
% 9.90/7.42 inference(quant_inst,[status(thm)],[])).
% 9.90/7.42 tff(37454,plain,
% 9.90/7.42 ((~v4(constB66)) <=> v18(constB66)),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37453, 279])).
% 9.90/7.42 tff(37455,plain,
% 9.90/7.42 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB66)),
% 9.90/7.42 inference(quant_inst,[status(thm)],[])).
% 9.90/7.42 tff(37456,plain,
% 9.90/7.42 (v4(constB66)),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37455, 288])).
% 9.90/7.42 tff(37457,plain,
% 9.90/7.42 ((~((~v4(constB66)) <=> v18(constB66))) | (~v4(constB66)) | (~v18(constB66))),
% 9.90/7.42 inference(tautology,[status(thm)],[])).
% 9.90/7.42 tff(37458,plain,
% 9.90/7.42 (~v18(constB66)),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37457, 37456, 37454])).
% 9.90/7.42 tff(37459,plain,
% 9.90/7.42 ((~(v18(constB66) <=> (~((~v19(constB66)) | (~v22(constB66)))))) | v18(constB66) | ((~v19(constB66)) | (~v22(constB66)))),
% 9.90/7.42 inference(tautology,[status(thm)],[])).
% 9.90/7.42 tff(37460,plain,
% 9.90/7.42 ((~v19(constB66)) | (~v22(constB66))),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37459, 37458, 37452])).
% 9.90/7.42 tff(37461,plain,
% 9.90/7.42 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB66) <=> (v1(constB66) | v6(constB66)))),
% 9.90/7.42 inference(quant_inst,[status(thm)],[])).
% 9.90/7.42 tff(37462,plain,
% 9.90/7.42 (v22(constB66) <=> (v1(constB66) | v6(constB66))),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37461, 301])).
% 9.90/7.42 tff(37463,plain,
% 9.90/7.42 ((v1(constB66) | v6(constB66)) | (~v1(constB66))),
% 9.90/7.42 inference(tautology,[status(thm)],[])).
% 9.90/7.42 tff(37464,plain,
% 9.90/7.42 (v1(constB66) | v6(constB66)),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37463, 6774])).
% 9.90/7.42 tff(37465,plain,
% 9.90/7.42 ((~(v22(constB66) <=> (v1(constB66) | v6(constB66)))) | v22(constB66) | (~(v1(constB66) | v6(constB66)))),
% 9.90/7.42 inference(tautology,[status(thm)],[])).
% 9.90/7.42 tff(37466,plain,
% 9.90/7.42 ((~(v22(constB66) <=> (v1(constB66) | v6(constB66)))) | v22(constB66)),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37465, 37464])).
% 9.90/7.42 tff(37467,plain,
% 9.90/7.42 (v22(constB66)),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37466, 37462])).
% 9.90/7.42 tff(37468,plain,
% 9.90/7.42 ((~((~v19(constB66)) | (~v22(constB66)))) | (~v19(constB66)) | (~v22(constB66))),
% 9.90/7.42 inference(tautology,[status(thm)],[])).
% 9.90/7.42 tff(37469,plain,
% 9.90/7.42 ((~((~v19(constB66)) | (~v22(constB66)))) | (~v19(constB66))),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37468, 37467])).
% 9.90/7.42 tff(37470,plain,
% 9.90/7.42 (~v19(constB66)),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37469, 37460])).
% 9.90/7.42 tff(37471,plain,
% 9.90/7.42 ((~(v19(constB66) <=> (v20(constB66) | v21(constB66)))) | v19(constB66) | (~(v20(constB66) | v21(constB66)))),
% 9.90/7.42 inference(tautology,[status(thm)],[])).
% 9.90/7.42 tff(37472,plain,
% 9.90/7.42 (~(v20(constB66) | v21(constB66))),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37471, 37470, 37450])).
% 9.90/7.42 tff(37473,plain,
% 9.90/7.42 ((v20(constB66) | v21(constB66)) | (~v21(constB66))),
% 9.90/7.42 inference(tautology,[status(thm)],[])).
% 9.90/7.42 tff(37474,plain,
% 9.90/7.42 (~v21(constB66)),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37473, 37472])).
% 9.90/7.42 tff(37475,plain,
% 9.90/7.42 ((~((~v21(constB66)) <=> v6(constB66))) | v21(constB66) | v6(constB66)),
% 9.90/7.42 inference(tautology,[status(thm)],[])).
% 9.90/7.42 tff(37476,plain,
% 9.90/7.42 (v6(constB66)),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37475, 37474, 37448])).
% 9.90/7.42 tff(37477,plain,
% 9.90/7.42 ((~(v6(constB66) <=> v13(constB66))) | (~v6(constB66)) | v13(constB66)),
% 9.90/7.42 inference(tautology,[status(thm)],[])).
% 9.90/7.42 tff(37478,plain,
% 9.90/7.42 (v13(constB66)),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37477, 37476, 37446])).
% 9.90/7.42 tff(37479,plain,
% 9.90/7.42 ((~(v13(constB66) <=> v9(constB65))) | (~v13(constB66)) | v9(constB65)),
% 9.90/7.42 inference(tautology,[status(thm)],[])).
% 9.90/7.42 tff(37480,plain,
% 9.90/7.42 (v9(constB65)),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37479, 37478, 37444])).
% 9.90/7.42 tff(37481,plain,
% 9.90/7.42 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB65)) <=> v1(constB65))),
% 9.90/7.42 inference(quant_inst,[status(thm)],[])).
% 9.90/7.42 tff(37482,plain,
% 9.90/7.42 ((~v39(constB65)) <=> v1(constB65)),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37481, 139])).
% 9.90/7.42 tff(37483,plain,
% 9.90/7.42 ((~((~v39(constB65)) <=> v1(constB65))) | v39(constB65) | v1(constB65)),
% 9.90/7.42 inference(tautology,[status(thm)],[])).
% 9.90/7.42 tff(37484,plain,
% 9.90/7.42 ((~((~v39(constB65)) <=> v1(constB65))) | v39(constB65)),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37483, 6766])).
% 9.90/7.42 tff(37485,plain,
% 9.90/7.42 (v39(constB65)),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37484, 37482])).
% 9.90/7.42 tff(37486,plain,
% 9.90/7.42 ((~((~v39(constB65)) | (~v9(constB65)))) | (~v39(constB65)) | (~v9(constB65))),
% 9.90/7.42 inference(tautology,[status(thm)],[])).
% 9.90/7.42 tff(37487,plain,
% 9.90/7.42 ((~((~v39(constB65)) | (~v9(constB65)))) | (~v9(constB65))),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37486, 37485])).
% 9.90/7.42 tff(37488,plain,
% 9.90/7.42 (~((~v39(constB65)) | (~v9(constB65)))),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37487, 37480])).
% 9.90/7.42 tff(37489,plain,
% 9.90/7.42 ((~(v141(constB65) <=> (~((~v39(constB65)) | (~v9(constB65)))))) | v141(constB65) | ((~v39(constB65)) | (~v9(constB65)))),
% 9.90/7.42 inference(tautology,[status(thm)],[])).
% 9.90/7.42 tff(37490,plain,
% 9.90/7.42 (v141(constB65)),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37489, 37488, 37440])).
% 9.90/7.42 tff(37491,plain,
% 9.90/7.42 ((v141(constB65) | v26(constB65)) | (~v141(constB65))),
% 9.90/7.42 inference(tautology,[status(thm)],[])).
% 9.90/7.42 tff(37492,plain,
% 9.90/7.42 (v141(constB65) | v26(constB65)),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37491, 37490])).
% 9.90/7.42 tff(37493,plain,
% 9.90/7.42 ((~(v140(constB65) <=> (v141(constB65) | v26(constB65)))) | v140(constB65) | (~(v141(constB65) | v26(constB65)))),
% 9.90/7.42 inference(tautology,[status(thm)],[])).
% 9.90/7.42 tff(37494,plain,
% 9.90/7.42 (v140(constB65)),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37493, 37492, 37438])).
% 9.90/7.42 tff(37495,plain,
% 9.90/7.42 ((~((~v139(constB65)) <=> v140(constB65))) | (~v139(constB65)) | (~v140(constB65))),
% 9.90/7.42 inference(tautology,[status(thm)],[])).
% 9.90/7.42 tff(37496,plain,
% 9.90/7.42 (~v139(constB65)),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37495, 37494, 37436])).
% 9.90/7.42 tff(37497,plain,
% 9.90/7.42 (((~v128(constB65)) | (~v139(constB65))) | v139(constB65)),
% 9.90/7.42 inference(tautology,[status(thm)],[])).
% 9.90/7.42 tff(37498,plain,
% 9.90/7.42 ((~v128(constB65)) | (~v139(constB65))),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37497, 37496])).
% 9.90/7.42 tff(37499,plain,
% 9.90/7.42 ((~(v163(constB65) <=> (~((~v128(constB65)) | (~v139(constB65)))))) | (~v163(constB65)) | (~((~v128(constB65)) | (~v139(constB65))))),
% 9.90/7.42 inference(tautology,[status(thm)],[])).
% 9.90/7.42 tff(37500,plain,
% 9.90/7.42 (~v163(constB65)),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37499, 37498, 37434])).
% 9.90/7.42 tff(37501,plain,
% 9.90/7.42 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB65) <=> (~((~v130(constB65)) | (~v154(constB65)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB65) <=> (~((~v130(constB65)) | (~v154(constB65))))))),
% 9.90/7.42 inference(rewrite,[status(thm)],[])).
% 9.90/7.42 tff(37502,plain,
% 9.90/7.42 ((v164(constB65) <=> (~((~v154(constB65)) | (~v130(constB65))))) <=> (v164(constB65) <=> (~((~v130(constB65)) | (~v154(constB65)))))),
% 9.90/7.42 inference(rewrite,[status(thm)],[])).
% 9.90/7.42 tff(37503,plain,
% 9.90/7.42 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB65) <=> (~((~v154(constB65)) | (~v130(constB65)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB65) <=> (~((~v130(constB65)) | (~v154(constB65))))))),
% 9.90/7.42 inference(monotonicity,[status(thm)],[37502])).
% 9.90/7.42 tff(37504,plain,
% 9.90/7.42 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB65) <=> (~((~v154(constB65)) | (~v130(constB65)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB65) <=> (~((~v130(constB65)) | (~v154(constB65))))))),
% 9.90/7.42 inference(transitivity,[status(thm)],[37503, 37501])).
% 9.90/7.42 tff(37505,plain,
% 9.90/7.42 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB65) <=> (~((~v154(constB65)) | (~v130(constB65)))))),
% 9.90/7.42 inference(quant_inst,[status(thm)],[])).
% 9.90/7.42 tff(37506,plain,
% 9.90/7.42 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB65) <=> (~((~v130(constB65)) | (~v154(constB65)))))),
% 9.90/7.42 inference(modus_ponens,[status(thm)],[37505, 37504])).
% 9.90/7.42 tff(37507,plain,
% 9.90/7.42 (v164(constB65) <=> (~((~v130(constB65)) | (~v154(constB65))))),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37506, 96])).
% 9.90/7.42 tff(37508,plain,
% 9.90/7.42 ((~![VarNext: $i] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB65) <=> v152(constB65))),
% 9.90/7.42 inference(quant_inst,[status(thm)],[])).
% 9.90/7.42 tff(37509,plain,
% 9.90/7.42 (v130(constB65) <=> v152(constB65)),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37508, 361])).
% 9.90/7.42 tff(37510,plain,
% 9.90/7.42 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB64, constB65)) | (v152(constB65) <=> v150(constB64)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB64, constB65)) | (v152(constB65) <=> v150(constB64)))),
% 9.90/7.42 inference(rewrite,[status(thm)],[])).
% 9.90/7.42 tff(37511,plain,
% 9.90/7.42 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB64, constB65)) | (v152(constB65) <=> v150(constB64)))),
% 9.90/7.42 inference(quant_inst,[status(thm)],[])).
% 9.90/7.42 tff(37512,plain,
% 9.90/7.42 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB64, constB65)) | (v152(constB65) <=> v150(constB64))),
% 9.90/7.42 inference(modus_ponens,[status(thm)],[37511, 37510])).
% 9.90/7.42 tff(37513,plain,
% 9.90/7.42 (v152(constB65) <=> v150(constB64)),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37512, 6807, 373])).
% 9.90/7.42 tff(37514,plain,
% 9.90/7.42 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v153(VarCurr) | v155(VarCurr)))) | (v150(constB64) <=> (v153(constB64) | v155(constB64)))),
% 9.90/7.42 inference(quant_inst,[status(thm)],[])).
% 9.90/7.42 tff(37515,plain,
% 9.90/7.42 (v150(constB64) <=> (v153(constB64) | v155(constB64))),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37514, 387])).
% 9.90/7.42 tff(37516,plain,
% 9.90/7.42 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB64) <=> (~((~v132(constB64)) | (~v154(constB64)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB64) <=> (~((~v132(constB64)) | (~v154(constB64))))))),
% 9.90/7.42 inference(rewrite,[status(thm)],[])).
% 9.90/7.42 tff(37517,plain,
% 9.90/7.42 ((v153(constB64) <=> (~((~v154(constB64)) | (~v132(constB64))))) <=> (v153(constB64) <=> (~((~v132(constB64)) | (~v154(constB64)))))),
% 9.90/7.42 inference(rewrite,[status(thm)],[])).
% 9.90/7.42 tff(37518,plain,
% 9.90/7.42 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB64) <=> (~((~v154(constB64)) | (~v132(constB64)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB64) <=> (~((~v132(constB64)) | (~v154(constB64))))))),
% 9.90/7.42 inference(monotonicity,[status(thm)],[37517])).
% 9.90/7.42 tff(37519,plain,
% 9.90/7.42 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB64) <=> (~((~v154(constB64)) | (~v132(constB64)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB64) <=> (~((~v132(constB64)) | (~v154(constB64))))))),
% 9.90/7.42 inference(transitivity,[status(thm)],[37518, 37516])).
% 9.90/7.42 tff(37520,plain,
% 9.90/7.42 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB64) <=> (~((~v154(constB64)) | (~v132(constB64)))))),
% 9.90/7.42 inference(quant_inst,[status(thm)],[])).
% 9.90/7.42 tff(37521,plain,
% 9.90/7.42 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB64) <=> (~((~v132(constB64)) | (~v154(constB64)))))),
% 9.90/7.42 inference(modus_ponens,[status(thm)],[37520, 37519])).
% 9.90/7.42 tff(37522,plain,
% 9.90/7.42 (v153(constB64) <=> (~((~v132(constB64)) | (~v154(constB64))))),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37521, 399])).
% 9.90/7.42 tff(37523,plain,
% 9.90/7.42 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB64) <=> (~((~v141(constB64)) | (~v143(constB64)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB64) <=> (~((~v141(constB64)) | (~v143(constB64))))))),
% 9.90/7.42 inference(rewrite,[status(thm)],[])).
% 9.90/7.42 tff(37524,plain,
% 9.90/7.42 ((v154(constB64) <=> (~((~v143(constB64)) | (~v141(constB64))))) <=> (v154(constB64) <=> (~((~v141(constB64)) | (~v143(constB64)))))),
% 9.90/7.42 inference(rewrite,[status(thm)],[])).
% 9.90/7.42 tff(37525,plain,
% 9.90/7.42 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB64) <=> (~((~v143(constB64)) | (~v141(constB64)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB64) <=> (~((~v141(constB64)) | (~v143(constB64))))))),
% 9.90/7.42 inference(monotonicity,[status(thm)],[37524])).
% 9.90/7.42 tff(37526,plain,
% 9.90/7.42 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB64) <=> (~((~v143(constB64)) | (~v141(constB64)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB64) <=> (~((~v141(constB64)) | (~v143(constB64))))))),
% 9.90/7.42 inference(transitivity,[status(thm)],[37525, 37523])).
% 9.90/7.42 tff(37527,plain,
% 9.90/7.42 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB64) <=> (~((~v143(constB64)) | (~v141(constB64)))))),
% 9.90/7.42 inference(quant_inst,[status(thm)],[])).
% 9.90/7.42 tff(37528,plain,
% 9.90/7.42 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB64) <=> (~((~v141(constB64)) | (~v143(constB64)))))),
% 9.90/7.42 inference(modus_ponens,[status(thm)],[37527, 37526])).
% 9.90/7.42 tff(37529,plain,
% 9.90/7.42 (v154(constB64) <=> (~((~v141(constB64)) | (~v143(constB64))))),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37528, 113])).
% 9.90/7.42 tff(37530,plain,
% 9.90/7.42 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB64) <=> (~((~v39(constB64)) | (~v9(constB64)))))),
% 9.90/7.42 inference(quant_inst,[status(thm)],[])).
% 9.90/7.42 tff(37531,plain,
% 9.90/7.42 (v141(constB64) <=> (~((~v39(constB64)) | (~v9(constB64))))),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37530, 130])).
% 9.90/7.42 tff(37532,plain,
% 9.90/7.42 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB64)) <=> v1(constB64))),
% 9.90/7.42 inference(quant_inst,[status(thm)],[])).
% 9.90/7.42 tff(37533,plain,
% 9.90/7.42 ((~v39(constB64)) <=> v1(constB64)),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37532, 139])).
% 9.90/7.42 tff(37534,plain,
% 9.90/7.42 ((~((~v39(constB64)) <=> v1(constB64))) | (~v39(constB64)) | (~v1(constB64))),
% 9.90/7.42 inference(tautology,[status(thm)],[])).
% 9.90/7.42 tff(37535,plain,
% 9.90/7.42 ((~((~v39(constB64)) <=> v1(constB64))) | (~v39(constB64))),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37534, 6869])).
% 9.90/7.42 tff(37536,plain,
% 9.90/7.42 (~v39(constB64)),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37535, 37533])).
% 9.90/7.42 tff(37537,plain,
% 9.90/7.42 (((~v39(constB64)) | (~v9(constB64))) | v39(constB64)),
% 9.90/7.42 inference(tautology,[status(thm)],[])).
% 9.90/7.42 tff(37538,plain,
% 9.90/7.42 ((~v39(constB64)) | (~v9(constB64))),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37537, 37536])).
% 9.90/7.42 tff(37539,plain,
% 9.90/7.42 ((~(v141(constB64) <=> (~((~v39(constB64)) | (~v9(constB64)))))) | (~v141(constB64)) | (~((~v39(constB64)) | (~v9(constB64))))),
% 9.90/7.42 inference(tautology,[status(thm)],[])).
% 9.90/7.42 tff(37540,plain,
% 9.90/7.42 ((~(v141(constB64) <=> (~((~v39(constB64)) | (~v9(constB64)))))) | (~v141(constB64))),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37539, 37538])).
% 9.90/7.42 tff(37541,plain,
% 9.90/7.42 (~v141(constB64)),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37540, 37531])).
% 9.90/7.42 tff(37542,plain,
% 9.90/7.42 (((~v141(constB64)) | (~v143(constB64))) | v141(constB64)),
% 9.90/7.42 inference(tautology,[status(thm)],[])).
% 9.90/7.42 tff(37543,plain,
% 9.90/7.42 ((~v141(constB64)) | (~v143(constB64))),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37542, 37541])).
% 9.90/7.42 tff(37544,plain,
% 9.90/7.42 ((~(v154(constB64) <=> (~((~v141(constB64)) | (~v143(constB64)))))) | (~v154(constB64)) | (~((~v141(constB64)) | (~v143(constB64))))),
% 9.90/7.42 inference(tautology,[status(thm)],[])).
% 9.90/7.42 tff(37545,plain,
% 9.90/7.42 ((~(v154(constB64) <=> (~((~v141(constB64)) | (~v143(constB64)))))) | (~v154(constB64))),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37544, 37543])).
% 9.90/7.42 tff(37546,plain,
% 9.90/7.42 (~v154(constB64)),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37545, 37529])).
% 9.90/7.42 tff(37547,plain,
% 9.90/7.42 (((~v132(constB64)) | (~v154(constB64))) | v154(constB64)),
% 9.90/7.42 inference(tautology,[status(thm)],[])).
% 9.90/7.42 tff(37548,plain,
% 9.90/7.42 ((~v132(constB64)) | (~v154(constB64))),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37547, 37546])).
% 9.90/7.42 tff(37549,plain,
% 9.90/7.42 ((~(v153(constB64) <=> (~((~v132(constB64)) | (~v154(constB64)))))) | (~v153(constB64)) | (~((~v132(constB64)) | (~v154(constB64))))),
% 9.90/7.42 inference(tautology,[status(thm)],[])).
% 9.90/7.42 tff(37550,plain,
% 9.90/7.42 (~v153(constB64)),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37549, 37548, 37522])).
% 9.90/7.42 tff(37551,plain,
% 9.90/7.42 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB64) <=> (~((~v130(constB64)) | (~v139(constB64)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB64) <=> (~((~v130(constB64)) | (~v139(constB64))))))),
% 9.90/7.42 inference(rewrite,[status(thm)],[])).
% 9.90/7.42 tff(37552,plain,
% 9.90/7.42 ((v155(constB64) <=> (~((~v139(constB64)) | (~v130(constB64))))) <=> (v155(constB64) <=> (~((~v130(constB64)) | (~v139(constB64)))))),
% 9.90/7.42 inference(rewrite,[status(thm)],[])).
% 9.90/7.42 tff(37553,plain,
% 9.90/7.42 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB64) <=> (~((~v139(constB64)) | (~v130(constB64)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB64) <=> (~((~v130(constB64)) | (~v139(constB64))))))),
% 9.90/7.42 inference(monotonicity,[status(thm)],[37552])).
% 9.90/7.42 tff(37554,plain,
% 9.90/7.42 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB64) <=> (~((~v139(constB64)) | (~v130(constB64)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB64) <=> (~((~v130(constB64)) | (~v139(constB64))))))),
% 9.90/7.42 inference(transitivity,[status(thm)],[37553, 37551])).
% 9.90/7.42 tff(37555,plain,
% 9.90/7.42 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB64) <=> (~((~v139(constB64)) | (~v130(constB64)))))),
% 9.90/7.42 inference(quant_inst,[status(thm)],[])).
% 9.90/7.42 tff(37556,plain,
% 9.90/7.42 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB64) <=> (~((~v130(constB64)) | (~v139(constB64)))))),
% 9.90/7.42 inference(modus_ponens,[status(thm)],[37555, 37554])).
% 9.90/7.42 tff(37557,plain,
% 9.90/7.42 (v155(constB64) <=> (~((~v130(constB64)) | (~v139(constB64))))),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37556, 447])).
% 9.90/7.42 tff(37558,plain,
% 9.90/7.42 ((~![VarNext: $i] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB64) <=> v152(constB64))),
% 9.90/7.42 inference(quant_inst,[status(thm)],[])).
% 9.90/7.42 tff(37559,plain,
% 9.90/7.42 (v130(constB64) <=> v152(constB64)),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37558, 361])).
% 9.90/7.42 tff(37560,plain,
% 9.90/7.42 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB63, constB64)) | (v152(constB64) <=> v150(constB63)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB63, constB64)) | (v152(constB64) <=> v150(constB63)))),
% 9.90/7.42 inference(rewrite,[status(thm)],[])).
% 9.90/7.42 tff(37561,plain,
% 9.90/7.42 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB63, constB64)) | (v152(constB64) <=> v150(constB63)))),
% 9.90/7.42 inference(quant_inst,[status(thm)],[])).
% 9.90/7.42 tff(37562,plain,
% 9.90/7.42 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB63, constB64)) | (v152(constB64) <=> v150(constB63))),
% 9.90/7.42 inference(modus_ponens,[status(thm)],[37561, 37560])).
% 9.90/7.42 tff(37563,plain,
% 9.90/7.42 (v152(constB64) <=> v150(constB63)),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37562, 6839, 373])).
% 9.90/7.42 tff(37564,plain,
% 9.90/7.42 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v153(VarCurr) | v155(VarCurr)))) | (v150(constB63) <=> (v153(constB63) | v155(constB63)))),
% 9.90/7.42 inference(quant_inst,[status(thm)],[])).
% 9.90/7.42 tff(37565,plain,
% 9.90/7.42 (v150(constB63) <=> (v153(constB63) | v155(constB63))),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37564, 387])).
% 9.90/7.42 tff(37566,plain,
% 9.90/7.42 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB63) <=> (~((~v130(constB63)) | (~v139(constB63)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB63) <=> (~((~v130(constB63)) | (~v139(constB63))))))),
% 9.90/7.42 inference(rewrite,[status(thm)],[])).
% 9.90/7.42 tff(37567,plain,
% 9.90/7.42 ((v155(constB63) <=> (~((~v139(constB63)) | (~v130(constB63))))) <=> (v155(constB63) <=> (~((~v130(constB63)) | (~v139(constB63)))))),
% 9.90/7.42 inference(rewrite,[status(thm)],[])).
% 9.90/7.42 tff(37568,plain,
% 9.90/7.42 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB63) <=> (~((~v139(constB63)) | (~v130(constB63)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB63) <=> (~((~v130(constB63)) | (~v139(constB63))))))),
% 9.90/7.42 inference(monotonicity,[status(thm)],[37567])).
% 9.90/7.42 tff(37569,plain,
% 9.90/7.42 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB63) <=> (~((~v139(constB63)) | (~v130(constB63)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB63) <=> (~((~v130(constB63)) | (~v139(constB63))))))),
% 9.90/7.42 inference(transitivity,[status(thm)],[37568, 37566])).
% 9.90/7.42 tff(37570,plain,
% 9.90/7.42 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB63) <=> (~((~v139(constB63)) | (~v130(constB63)))))),
% 9.90/7.42 inference(quant_inst,[status(thm)],[])).
% 9.90/7.42 tff(37571,plain,
% 9.90/7.42 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB63) <=> (~((~v130(constB63)) | (~v139(constB63)))))),
% 9.90/7.42 inference(modus_ponens,[status(thm)],[37570, 37569])).
% 9.90/7.42 tff(37572,plain,
% 9.90/7.42 (v155(constB63) <=> (~((~v130(constB63)) | (~v139(constB63))))),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37571, 447])).
% 9.90/7.42 tff(37573,plain,
% 9.90/7.42 ((~![VarCurr: $i] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB63)) <=> v140(constB63))),
% 9.90/7.42 inference(quant_inst,[status(thm)],[])).
% 9.90/7.42 tff(37574,plain,
% 9.90/7.42 ((~v139(constB63)) <=> v140(constB63)),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37573, 203])).
% 9.90/7.42 tff(37575,plain,
% 9.90/7.42 ((~![VarCurr: $i] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB63) <=> (v141(constB63) | v26(constB63)))),
% 9.90/7.42 inference(quant_inst,[status(thm)],[])).
% 9.90/7.42 tff(37576,plain,
% 9.90/7.42 (v140(constB63) <=> (v141(constB63) | v26(constB63))),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37575, 212])).
% 9.90/7.42 tff(37577,plain,
% 9.90/7.42 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB63) <=> (~((~v39(constB63)) | (~v9(constB63)))))),
% 9.90/7.42 inference(quant_inst,[status(thm)],[])).
% 9.90/7.42 tff(37578,plain,
% 9.90/7.42 (v141(constB63) <=> (~((~v39(constB63)) | (~v9(constB63))))),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37577, 130])).
% 9.90/7.42 tff(37579,plain,
% 9.90/7.42 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB63, constB64)) | (v13(constB64) <=> v9(constB63)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB63, constB64)) | (v13(constB64) <=> v9(constB63)))),
% 9.90/7.42 inference(rewrite,[status(thm)],[])).
% 9.90/7.42 tff(37580,plain,
% 9.90/7.42 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB63, constB64)) | (v13(constB64) <=> v9(constB63)))),
% 9.90/7.42 inference(quant_inst,[status(thm)],[])).
% 9.90/7.42 tff(37581,plain,
% 9.90/7.42 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB63, constB64)) | (v13(constB64) <=> v9(constB63))),
% 9.90/7.42 inference(modus_ponens,[status(thm)],[37580, 37579])).
% 9.90/7.42 tff(37582,plain,
% 9.90/7.42 (v13(constB64) <=> v9(constB63)),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37581, 6839, 226])).
% 9.90/7.42 tff(37583,plain,
% 9.90/7.42 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB64) <=> v13(constB64))),
% 9.90/7.42 inference(quant_inst,[status(thm)],[])).
% 9.90/7.42 tff(37584,plain,
% 9.90/7.42 (v6(constB64) <=> v13(constB64)),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37583, 240])).
% 9.90/7.42 tff(37585,plain,
% 9.90/7.42 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB64)) <=> v6(constB64))),
% 9.90/7.42 inference(quant_inst,[status(thm)],[])).
% 9.90/7.42 tff(37586,plain,
% 9.90/7.42 ((~v21(constB64)) <=> v6(constB64)),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37585, 249])).
% 9.90/7.42 tff(37587,plain,
% 9.90/7.42 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB64) <=> (v20(constB64) | v21(constB64)))),
% 9.90/7.42 inference(quant_inst,[status(thm)],[])).
% 9.90/7.42 tff(37588,plain,
% 9.90/7.42 (v19(constB64) <=> (v20(constB64) | v21(constB64))),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37587, 258])).
% 9.90/7.42 tff(37589,plain,
% 9.90/7.42 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB64) <=> (~((~v19(constB64)) | (~v22(constB64)))))),
% 9.90/7.42 inference(quant_inst,[status(thm)],[])).
% 9.90/7.42 tff(37590,plain,
% 9.90/7.42 (v18(constB64) <=> (~((~v19(constB64)) | (~v22(constB64))))),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37589, 270])).
% 9.90/7.42 tff(37591,plain,
% 9.90/7.42 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB64)) <=> v18(constB64))),
% 9.90/7.42 inference(quant_inst,[status(thm)],[])).
% 9.90/7.42 tff(37592,plain,
% 9.90/7.42 ((~v4(constB64)) <=> v18(constB64)),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37591, 279])).
% 9.90/7.42 tff(37593,plain,
% 9.90/7.42 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB64)),
% 9.90/7.42 inference(quant_inst,[status(thm)],[])).
% 9.90/7.42 tff(37594,plain,
% 9.90/7.42 (v4(constB64)),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37593, 288])).
% 9.90/7.42 tff(37595,plain,
% 9.90/7.42 ((~((~v4(constB64)) <=> v18(constB64))) | (~v4(constB64)) | (~v18(constB64))),
% 9.90/7.42 inference(tautology,[status(thm)],[])).
% 9.90/7.42 tff(37596,plain,
% 9.90/7.42 (~v18(constB64)),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37595, 37594, 37592])).
% 9.90/7.42 tff(37597,plain,
% 9.90/7.42 ((~(v18(constB64) <=> (~((~v19(constB64)) | (~v22(constB64)))))) | v18(constB64) | ((~v19(constB64)) | (~v22(constB64)))),
% 9.90/7.42 inference(tautology,[status(thm)],[])).
% 9.90/7.42 tff(37598,plain,
% 9.90/7.42 ((~v19(constB64)) | (~v22(constB64))),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37597, 37596, 37590])).
% 9.90/7.42 tff(37599,plain,
% 9.90/7.42 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB64) <=> (v1(constB64) | v6(constB64)))),
% 9.90/7.42 inference(quant_inst,[status(thm)],[])).
% 9.90/7.42 tff(37600,plain,
% 9.90/7.42 (v22(constB64) <=> (v1(constB64) | v6(constB64))),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37599, 301])).
% 9.90/7.42 tff(37601,plain,
% 9.90/7.42 ((v1(constB64) | v6(constB64)) | (~v1(constB64))),
% 9.90/7.42 inference(tautology,[status(thm)],[])).
% 9.90/7.42 tff(37602,plain,
% 9.90/7.42 (v1(constB64) | v6(constB64)),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37601, 6869])).
% 9.90/7.42 tff(37603,plain,
% 9.90/7.42 ((~(v22(constB64) <=> (v1(constB64) | v6(constB64)))) | v22(constB64) | (~(v1(constB64) | v6(constB64)))),
% 9.90/7.42 inference(tautology,[status(thm)],[])).
% 9.90/7.42 tff(37604,plain,
% 9.90/7.42 ((~(v22(constB64) <=> (v1(constB64) | v6(constB64)))) | v22(constB64)),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37603, 37602])).
% 9.90/7.42 tff(37605,plain,
% 9.90/7.42 (v22(constB64)),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37604, 37600])).
% 9.90/7.42 tff(37606,plain,
% 9.90/7.42 ((~((~v19(constB64)) | (~v22(constB64)))) | (~v19(constB64)) | (~v22(constB64))),
% 9.90/7.42 inference(tautology,[status(thm)],[])).
% 9.90/7.42 tff(37607,plain,
% 9.90/7.42 ((~((~v19(constB64)) | (~v22(constB64)))) | (~v19(constB64))),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37606, 37605])).
% 9.90/7.42 tff(37608,plain,
% 9.90/7.42 (~v19(constB64)),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37607, 37598])).
% 9.90/7.42 tff(37609,plain,
% 9.90/7.42 ((~(v19(constB64) <=> (v20(constB64) | v21(constB64)))) | v19(constB64) | (~(v20(constB64) | v21(constB64)))),
% 9.90/7.42 inference(tautology,[status(thm)],[])).
% 9.90/7.42 tff(37610,plain,
% 9.90/7.42 (~(v20(constB64) | v21(constB64))),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37609, 37608, 37588])).
% 9.90/7.42 tff(37611,plain,
% 9.90/7.42 ((v20(constB64) | v21(constB64)) | (~v21(constB64))),
% 9.90/7.42 inference(tautology,[status(thm)],[])).
% 9.90/7.42 tff(37612,plain,
% 9.90/7.42 (~v21(constB64)),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37611, 37610])).
% 9.90/7.42 tff(37613,plain,
% 9.90/7.42 ((~((~v21(constB64)) <=> v6(constB64))) | v21(constB64) | v6(constB64)),
% 9.90/7.42 inference(tautology,[status(thm)],[])).
% 9.90/7.42 tff(37614,plain,
% 9.90/7.42 (v6(constB64)),
% 9.90/7.42 inference(unit_resolution,[status(thm)],[37613, 37612, 37586])).
% 9.90/7.42 tff(37615,plain,
% 9.90/7.42 ((~(v6(constB64) <=> v13(constB64))) | (~v6(constB64)) | v13(constB64)),
% 9.90/7.42 inference(tautology,[status(thm)],[])).
% 9.90/7.43 tff(37616,plain,
% 9.90/7.43 (v13(constB64)),
% 9.90/7.43 inference(unit_resolution,[status(thm)],[37615, 37614, 37584])).
% 9.90/7.43 tff(37617,plain,
% 9.90/7.43 ((~(v13(constB64) <=> v9(constB63))) | (~v13(constB64)) | v9(constB63)),
% 9.90/7.43 inference(tautology,[status(thm)],[])).
% 9.90/7.43 tff(37618,plain,
% 9.90/7.43 (v9(constB63)),
% 9.90/7.43 inference(unit_resolution,[status(thm)],[37617, 37616, 37582])).
% 9.90/7.43 tff(37619,plain,
% 9.90/7.43 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB63)) <=> v1(constB63))),
% 9.90/7.43 inference(quant_inst,[status(thm)],[])).
% 9.90/7.43 tff(37620,plain,
% 9.90/7.43 ((~v39(constB63)) <=> v1(constB63)),
% 9.90/7.43 inference(unit_resolution,[status(thm)],[37619, 139])).
% 9.90/7.43 tff(37621,plain,
% 9.90/7.43 ((~((~v39(constB63)) <=> v1(constB63))) | v39(constB63) | v1(constB63)),
% 9.90/7.43 inference(tautology,[status(thm)],[])).
% 9.90/7.43 tff(37622,plain,
% 9.90/7.43 ((~((~v39(constB63)) <=> v1(constB63))) | v39(constB63)),
% 9.90/7.43 inference(unit_resolution,[status(thm)],[37621, 6861])).
% 9.90/7.43 tff(37623,plain,
% 9.90/7.43 (v39(constB63)),
% 9.90/7.43 inference(unit_resolution,[status(thm)],[37622, 37620])).
% 9.90/7.43 tff(37624,plain,
% 9.90/7.43 ((~((~v39(constB63)) | (~v9(constB63)))) | (~v39(constB63)) | (~v9(constB63))),
% 9.90/7.43 inference(tautology,[status(thm)],[])).
% 9.90/7.43 tff(37625,plain,
% 9.90/7.43 ((~((~v39(constB63)) | (~v9(constB63)))) | (~v9(constB63))),
% 9.90/7.43 inference(unit_resolution,[status(thm)],[37624, 37623])).
% 9.90/7.43 tff(37626,plain,
% 9.90/7.43 (~((~v39(constB63)) | (~v9(constB63)))),
% 9.90/7.43 inference(unit_resolution,[status(thm)],[37625, 37618])).
% 9.90/7.43 tff(37627,plain,
% 9.90/7.43 ((~(v141(constB63) <=> (~((~v39(constB63)) | (~v9(constB63)))))) | v141(constB63) | ((~v39(constB63)) | (~v9(constB63)))),
% 9.90/7.43 inference(tautology,[status(thm)],[])).
% 9.90/7.43 tff(37628,plain,
% 9.90/7.43 (v141(constB63)),
% 9.90/7.43 inference(unit_resolution,[status(thm)],[37627, 37626, 37578])).
% 9.90/7.43 tff(37629,plain,
% 9.90/7.43 ((v141(constB63) | v26(constB63)) | (~v141(constB63))),
% 9.90/7.43 inference(tautology,[status(thm)],[])).
% 9.90/7.43 tff(37630,plain,
% 9.90/7.43 (v141(constB63) | v26(constB63)),
% 9.90/7.43 inference(unit_resolution,[status(thm)],[37629, 37628])).
% 9.90/7.43 tff(37631,plain,
% 9.90/7.43 ((~(v140(constB63) <=> (v141(constB63) | v26(constB63)))) | v140(constB63) | (~(v141(constB63) | v26(constB63)))),
% 9.90/7.43 inference(tautology,[status(thm)],[])).
% 9.90/7.43 tff(37632,plain,
% 9.90/7.43 (v140(constB63)),
% 9.90/7.43 inference(unit_resolution,[status(thm)],[37631, 37630, 37576])).
% 9.90/7.43 tff(37633,plain,
% 9.90/7.43 ((~((~v139(constB63)) <=> v140(constB63))) | (~v139(constB63)) | (~v140(constB63))),
% 9.90/7.43 inference(tautology,[status(thm)],[])).
% 9.90/7.43 tff(37634,plain,
% 9.90/7.43 (~v139(constB63)),
% 9.90/7.43 inference(unit_resolution,[status(thm)],[37633, 37632, 37574])).
% 9.90/7.43 tff(37635,plain,
% 9.90/7.43 (((~v130(constB63)) | (~v139(constB63))) | v139(constB63)),
% 9.90/7.43 inference(tautology,[status(thm)],[])).
% 9.90/7.43 tff(37636,plain,
% 9.90/7.43 ((~v130(constB63)) | (~v139(constB63))),
% 9.90/7.43 inference(unit_resolution,[status(thm)],[37635, 37634])).
% 9.90/7.43 tff(37637,plain,
% 9.90/7.43 ((~(v155(constB63) <=> (~((~v130(constB63)) | (~v139(constB63)))))) | (~v155(constB63)) | (~((~v130(constB63)) | (~v139(constB63))))),
% 9.90/7.43 inference(tautology,[status(thm)],[])).
% 9.90/7.43 tff(37638,plain,
% 9.90/7.43 (~v155(constB63)),
% 9.90/7.43 inference(unit_resolution,[status(thm)],[37637, 37636, 37572])).
% 9.90/7.43 tff(37639,plain,
% 9.90/7.43 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB63) <=> (~((~v132(constB63)) | (~v154(constB63)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB63) <=> (~((~v132(constB63)) | (~v154(constB63))))))),
% 9.90/7.43 inference(rewrite,[status(thm)],[])).
% 9.90/7.43 tff(37640,plain,
% 9.90/7.43 ((v153(constB63) <=> (~((~v154(constB63)) | (~v132(constB63))))) <=> (v153(constB63) <=> (~((~v132(constB63)) | (~v154(constB63)))))),
% 9.90/7.43 inference(rewrite,[status(thm)],[])).
% 9.90/7.43 tff(37641,plain,
% 9.90/7.43 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB63) <=> (~((~v154(constB63)) | (~v132(constB63)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB63) <=> (~((~v132(constB63)) | (~v154(constB63))))))),
% 9.90/7.43 inference(monotonicity,[status(thm)],[37640])).
% 9.90/7.43 tff(37642,plain,
% 9.90/7.43 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB63) <=> (~((~v154(constB63)) | (~v132(constB63)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB63) <=> (~((~v132(constB63)) | (~v154(constB63))))))),
% 9.90/7.43 inference(transitivity,[status(thm)],[37641, 37639])).
% 9.90/7.43 tff(37643,plain,
% 9.90/7.43 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB63) <=> (~((~v154(constB63)) | (~v132(constB63)))))),
% 9.90/7.43 inference(quant_inst,[status(thm)],[])).
% 9.90/7.43 tff(37644,plain,
% 9.90/7.43 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB63) <=> (~((~v132(constB63)) | (~v154(constB63)))))),
% 9.90/7.43 inference(modus_ponens,[status(thm)],[37643, 37642])).
% 9.90/7.43 tff(37645,plain,
% 9.90/7.43 (v153(constB63) <=> (~((~v132(constB63)) | (~v154(constB63))))),
% 9.90/7.43 inference(unit_resolution,[status(thm)],[37644, 399])).
% 9.90/7.43 tff(37646,plain,
% 9.90/7.43 ((~![VarNext: $i] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB63) <=> v137(constB63))),
% 9.90/7.43 inference(quant_inst,[status(thm)],[])).
% 9.90/7.43 tff(37647,plain,
% 9.90/7.43 (v132(constB63) <=> v137(constB63)),
% 9.90/7.43 inference(unit_resolution,[status(thm)],[37646, 558])).
% 9.90/7.43 tff(37648,plain,
% 9.90/7.43 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB62, constB63)) | (v137(constB63) <=> v135(constB62)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB62, constB63)) | (v137(constB63) <=> v135(constB62)))),
% 9.90/7.43 inference(rewrite,[status(thm)],[])).
% 9.90/7.43 tff(37649,plain,
% 9.90/7.43 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB62, constB63)) | (v137(constB63) <=> v135(constB62)))),
% 9.90/7.43 inference(quant_inst,[status(thm)],[])).
% 9.90/7.43 tff(37650,plain,
% 9.90/7.43 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB62, constB63)) | (v137(constB63) <=> v135(constB62))),
% 9.90/7.43 inference(modus_ponens,[status(thm)],[37649, 37648])).
% 9.90/7.43 tff(37651,plain,
% 9.90/7.43 (v137(constB63) <=> v135(constB62)),
% 9.90/7.43 inference(unit_resolution,[status(thm)],[37650, 6904, 570])).
% 9.90/7.43 tff(37652,plain,
% 9.90/7.43 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB62) <=> (v138(constB62) | v142(constB62)))),
% 9.90/7.43 inference(quant_inst,[status(thm)],[])).
% 9.90/7.43 tff(37653,plain,
% 9.90/7.43 (v135(constB62) <=> (v138(constB62) | v142(constB62))),
% 9.90/7.43 inference(unit_resolution,[status(thm)],[37652, 584])).
% 9.90/7.43 tff(37654,plain,
% 9.90/7.43 ((~![VarCurr: $i] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB62) <=> (~((~v143(constB62)) | (~v144(constB62)))))),
% 9.90/7.43 inference(quant_inst,[status(thm)],[])).
% 9.90/7.43 tff(37655,plain,
% 9.90/7.43 (v142(constB62) <=> (~((~v143(constB62)) | (~v144(constB62))))),
% 9.90/7.43 inference(unit_resolution,[status(thm)],[37654, 596])).
% 9.90/7.43 tff(37656,plain,
% 9.90/7.43 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB62) <=> (~((~v141(constB62)) | (~v145(constB62)))))),
% 9.90/7.43 inference(quant_inst,[status(thm)],[])).
% 9.90/7.43 tff(37657,plain,
% 9.90/7.43 (v144(constB62) <=> (~((~v141(constB62)) | (~v145(constB62))))),
% 9.90/7.43 inference(unit_resolution,[status(thm)],[37656, 608])).
% 9.90/7.43 tff(37658,plain,
% 9.90/7.43 (((~v141(constB62)) | (~v145(constB62))) | v141(constB62)),
% 9.90/7.43 inference(tautology,[status(thm)],[])).
% 9.90/7.43 tff(37659,plain,
% 9.90/7.43 ((~v141(constB62)) | (~v145(constB62))),
% 9.90/7.43 inference(unit_resolution,[status(thm)],[37658, 34013])).
% 9.90/7.43 tff(37660,plain,
% 9.90/7.43 ((~(v144(constB62) <=> (~((~v141(constB62)) | (~v145(constB62)))))) | (~v144(constB62)) | (~((~v141(constB62)) | (~v145(constB62))))),
% 9.90/7.43 inference(tautology,[status(thm)],[])).
% 9.90/7.43 tff(37661,plain,
% 9.90/7.43 ((~(v144(constB62) <=> (~((~v141(constB62)) | (~v145(constB62)))))) | (~v144(constB62))),
% 9.90/7.43 inference(unit_resolution,[status(thm)],[37660, 37659])).
% 9.90/7.43 tff(37662,plain,
% 9.90/7.43 (~v144(constB62)),
% 9.90/7.43 inference(unit_resolution,[status(thm)],[37661, 37657])).
% 9.90/7.43 tff(37663,plain,
% 9.90/7.43 (((~v143(constB62)) | (~v144(constB62))) | v144(constB62)),
% 9.90/7.43 inference(tautology,[status(thm)],[])).
% 9.90/7.43 tff(37664,plain,
% 9.90/7.43 ((~v143(constB62)) | (~v144(constB62))),
% 9.90/7.43 inference(unit_resolution,[status(thm)],[37663, 37662])).
% 9.90/7.43 tff(37665,plain,
% 9.90/7.43 ((~(v142(constB62) <=> (~((~v143(constB62)) | (~v144(constB62)))))) | (~v142(constB62)) | (~((~v143(constB62)) | (~v144(constB62))))),
% 9.90/7.43 inference(tautology,[status(thm)],[])).
% 9.90/7.43 tff(37666,plain,
% 9.90/7.43 (~v142(constB62)),
% 9.90/7.43 inference(unit_resolution,[status(thm)],[37665, 37664, 37655])).
% 9.90/7.43 tff(37667,plain,
% 9.90/7.43 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB62) <=> (~((~v132(constB62)) | (~v139(constB62)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB62) <=> (~((~v132(constB62)) | (~v139(constB62))))))),
% 9.90/7.43 inference(rewrite,[status(thm)],[])).
% 9.90/7.43 tff(37668,plain,
% 9.90/7.43 ((v138(constB62) <=> (~((~v139(constB62)) | (~v132(constB62))))) <=> (v138(constB62) <=> (~((~v132(constB62)) | (~v139(constB62)))))),
% 9.90/7.43 inference(rewrite,[status(thm)],[])).
% 9.90/7.43 tff(37669,plain,
% 9.90/7.43 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB62) <=> (~((~v139(constB62)) | (~v132(constB62)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB62) <=> (~((~v132(constB62)) | (~v139(constB62))))))),
% 9.90/7.43 inference(monotonicity,[status(thm)],[37668])).
% 9.90/7.43 tff(37670,plain,
% 9.90/7.43 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB62) <=> (~((~v139(constB62)) | (~v132(constB62)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB62) <=> (~((~v132(constB62)) | (~v139(constB62))))))),
% 9.90/7.43 inference(transitivity,[status(thm)],[37669, 37667])).
% 9.90/7.43 tff(37671,plain,
% 9.90/7.43 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB62) <=> (~((~v139(constB62)) | (~v132(constB62)))))),
% 9.90/7.43 inference(quant_inst,[status(thm)],[])).
% 9.90/7.43 tff(37672,plain,
% 9.90/7.43 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB62) <=> (~((~v132(constB62)) | (~v139(constB62)))))),
% 9.90/7.43 inference(modus_ponens,[status(thm)],[37671, 37670])).
% 9.90/7.43 tff(37673,plain,
% 9.90/7.43 (v138(constB62) <=> (~((~v132(constB62)) | (~v139(constB62))))),
% 9.90/7.43 inference(unit_resolution,[status(thm)],[37672, 644])).
% 9.90/7.43 tff(37674,plain,
% 9.90/7.43 ((~![VarNext: $i] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB62) <=> v137(constB62))),
% 9.90/7.43 inference(quant_inst,[status(thm)],[])).
% 9.90/7.43 tff(37675,plain,
% 9.90/7.43 (v132(constB62) <=> v137(constB62)),
% 9.90/7.43 inference(unit_resolution,[status(thm)],[37674, 558])).
% 9.90/7.43 tff(37676,plain,
% 9.90/7.43 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB61, constB62)) | (v137(constB62) <=> v135(constB61)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB61, constB62)) | (v137(constB62) <=> v135(constB61)))),
% 9.90/7.43 inference(rewrite,[status(thm)],[])).
% 9.90/7.43 tff(37677,plain,
% 9.90/7.43 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB61, constB62)) | (v137(constB62) <=> v135(constB61)))),
% 9.90/7.43 inference(quant_inst,[status(thm)],[])).
% 9.90/7.43 tff(37678,plain,
% 9.90/7.43 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB61, constB62)) | (v137(constB62) <=> v135(constB61))),
% 9.90/7.43 inference(modus_ponens,[status(thm)],[37677, 37676])).
% 9.90/7.43 tff(37679,plain,
% 9.90/7.43 (v137(constB62) <=> v135(constB61)),
% 9.90/7.43 inference(unit_resolution,[status(thm)],[37678, 6936, 570])).
% 9.90/7.43 tff(37680,plain,
% 9.90/7.43 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB61) <=> (v138(constB61) | v142(constB61)))),
% 9.90/7.43 inference(quant_inst,[status(thm)],[])).
% 9.90/7.43 tff(37681,plain,
% 9.90/7.43 (v135(constB61) <=> (v138(constB61) | v142(constB61))),
% 9.90/7.43 inference(unit_resolution,[status(thm)],[37680, 584])).
% 9.90/7.43 tff(37682,plain,
% 9.90/7.43 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB61) <=> (~((~v132(constB61)) | (~v139(constB61)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB61) <=> (~((~v132(constB61)) | (~v139(constB61))))))),
% 9.90/7.43 inference(rewrite,[status(thm)],[])).
% 9.90/7.43 tff(37683,plain,
% 9.90/7.43 ((v138(constB61) <=> (~((~v139(constB61)) | (~v132(constB61))))) <=> (v138(constB61) <=> (~((~v132(constB61)) | (~v139(constB61)))))),
% 9.90/7.43 inference(rewrite,[status(thm)],[])).
% 9.90/7.43 tff(37684,plain,
% 9.90/7.43 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB61) <=> (~((~v139(constB61)) | (~v132(constB61)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB61) <=> (~((~v132(constB61)) | (~v139(constB61))))))),
% 9.90/7.43 inference(monotonicity,[status(thm)],[37683])).
% 9.90/7.43 tff(37685,plain,
% 9.90/7.43 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB61) <=> (~((~v139(constB61)) | (~v132(constB61)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB61) <=> (~((~v132(constB61)) | (~v139(constB61))))))),
% 9.90/7.43 inference(transitivity,[status(thm)],[37684, 37682])).
% 9.90/7.43 tff(37686,plain,
% 9.90/7.43 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB61) <=> (~((~v139(constB61)) | (~v132(constB61)))))),
% 9.90/7.43 inference(quant_inst,[status(thm)],[])).
% 9.90/7.43 tff(37687,plain,
% 9.90/7.43 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB61) <=> (~((~v132(constB61)) | (~v139(constB61)))))),
% 9.90/7.43 inference(modus_ponens,[status(thm)],[37686, 37685])).
% 9.90/7.43 tff(37688,plain,
% 9.90/7.43 (v138(constB61) <=> (~((~v132(constB61)) | (~v139(constB61))))),
% 9.90/7.43 inference(unit_resolution,[status(thm)],[37687, 644])).
% 9.90/7.43 tff(37689,plain,
% 9.90/7.43 (((~v132(constB61)) | (~v139(constB61))) | v139(constB61)),
% 9.90/7.43 inference(tautology,[status(thm)],[])).
% 9.90/7.43 tff(37690,plain,
% 9.90/7.43 ((~v132(constB61)) | (~v139(constB61))),
% 9.90/7.43 inference(unit_resolution,[status(thm)],[37689, 34106])).
% 9.90/7.43 tff(37691,plain,
% 9.90/7.43 ((~(v138(constB61) <=> (~((~v132(constB61)) | (~v139(constB61)))))) | (~v138(constB61)) | (~((~v132(constB61)) | (~v139(constB61))))),
% 9.90/7.43 inference(tautology,[status(thm)],[])).
% 9.90/7.43 tff(37692,plain,
% 9.90/7.43 (~v138(constB61)),
% 9.90/7.43 inference(unit_resolution,[status(thm)],[37691, 37690, 37688])).
% 9.90/7.43 tff(37693,plain,
% 9.90/7.43 ((~![VarCurr: $i] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB61) <=> (~((~v143(constB61)) | (~v144(constB61)))))),
% 9.90/7.43 inference(quant_inst,[status(thm)],[])).
% 9.90/7.43 tff(37694,plain,
% 9.90/7.43 (v142(constB61) <=> (~((~v143(constB61)) | (~v144(constB61))))),
% 9.90/7.43 inference(unit_resolution,[status(thm)],[37693, 596])).
% 9.90/7.43 tff(37695,plain,
% 9.90/7.43 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB61) <=> (~((~v141(constB61)) | (~v145(constB61)))))),
% 9.90/7.43 inference(quant_inst,[status(thm)],[])).
% 9.90/7.43 tff(37696,plain,
% 9.90/7.43 (v144(constB61) <=> (~((~v141(constB61)) | (~v145(constB61))))),
% 9.90/7.43 inference(unit_resolution,[status(thm)],[37695, 608])).
% 9.90/7.43 tff(37697,plain,
% 9.90/7.43 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB61) <=> (~(v84(constB61, bitIndex2) | v84(constB61, bitIndex1) | (~v84(constB61, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB61) <=> (~(v84(constB61, bitIndex2) | v84(constB61, bitIndex1) | (~v84(constB61, bitIndex0))))))),
% 9.90/7.43 inference(rewrite,[status(thm)],[])).
% 9.90/7.43 tff(37698,plain,
% 9.90/7.43 ((v145(constB61) <=> (~(v84(constB61, bitIndex1) | v84(constB61, bitIndex2) | (~v84(constB61, bitIndex0))))) <=> (v145(constB61) <=> (~(v84(constB61, bitIndex2) | v84(constB61, bitIndex1) | (~v84(constB61, bitIndex0)))))),
% 9.90/7.43 inference(rewrite,[status(thm)],[])).
% 9.90/7.43 tff(37699,plain,
% 9.90/7.43 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB61) <=> (~(v84(constB61, bitIndex1) | v84(constB61, bitIndex2) | (~v84(constB61, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB61) <=> (~(v84(constB61, bitIndex2) | v84(constB61, bitIndex1) | (~v84(constB61, bitIndex0))))))),
% 9.90/7.43 inference(monotonicity,[status(thm)],[37698])).
% 9.90/7.43 tff(37700,plain,
% 9.90/7.43 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB61) <=> (~(v84(constB61, bitIndex1) | v84(constB61, bitIndex2) | (~v84(constB61, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB61) <=> (~(v84(constB61, bitIndex2) | v84(constB61, bitIndex1) | (~v84(constB61, bitIndex0))))))),
% 9.90/7.43 inference(transitivity,[status(thm)],[37699, 37697])).
% 9.90/7.43 tff(37701,plain,
% 9.90/7.43 ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB61) <=> (~(v84(constB61, bitIndex1) | v84(constB61, bitIndex2) | (~v84(constB61, bitIndex0)))))),
% 9.90/7.43 inference(quant_inst,[status(thm)],[])).
% 9.90/7.43 tff(37702,plain,
% 9.90/7.43 ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB61) <=> (~(v84(constB61, bitIndex2) | v84(constB61, bitIndex1) | (~v84(constB61, bitIndex0)))))),
% 9.90/7.43 inference(modus_ponens,[status(thm)],[37701, 37700])).
% 9.90/7.43 tff(37703,plain,
% 9.90/7.43 (v145(constB61) <=> (~(v84(constB61, bitIndex2) | v84(constB61, bitIndex1) | (~v84(constB61, bitIndex0))))),
% 9.90/7.43 inference(unit_resolution,[status(thm)],[37702, 755])).
% 9.90/7.43 tff(37704,plain,
% 9.90/7.43 ((~(v145(constB61) <=> (~(v84(constB61, bitIndex2) | v84(constB61, bitIndex1) | (~v84(constB61, bitIndex0)))))) | (~v145(constB61)) | (~(v84(constB61, bitIndex2) | v84(constB61, bitIndex1) | (~v84(constB61, bitIndex0))))),
% 9.90/7.43 inference(tautology,[status(thm)],[])).
% 9.90/7.43 tff(37705,plain,
% 9.90/7.43 (~v145(constB61)),
% 9.90/7.43 inference(unit_resolution,[status(thm)],[37704, 14950, 37703])).
% 9.90/7.43 tff(37706,plain,
% 9.90/7.43 (((~v141(constB61)) | (~v145(constB61))) | v145(constB61)),
% 9.90/7.43 inference(tautology,[status(thm)],[])).
% 9.90/7.43 tff(37707,plain,
% 9.90/7.43 ((~v141(constB61)) | (~v145(constB61))),
% 9.90/7.43 inference(unit_resolution,[status(thm)],[37706, 37705])).
% 9.90/7.43 tff(37708,plain,
% 9.90/7.43 ((~(v144(constB61) <=> (~((~v141(constB61)) | (~v145(constB61)))))) | (~v144(constB61)) | (~((~v141(constB61)) | (~v145(constB61))))),
% 9.90/7.43 inference(tautology,[status(thm)],[])).
% 9.90/7.43 tff(37709,plain,
% 9.90/7.43 (~v144(constB61)),
% 9.90/7.43 inference(unit_resolution,[status(thm)],[37708, 37707, 37696])).
% 9.90/7.43 tff(37710,plain,
% 9.90/7.43 (((~v143(constB61)) | (~v144(constB61))) | v144(constB61)),
% 9.90/7.43 inference(tautology,[status(thm)],[])).
% 9.90/7.43 tff(37711,plain,
% 9.90/7.43 ((~v143(constB61)) | (~v144(constB61))),
% 9.90/7.43 inference(unit_resolution,[status(thm)],[37710, 37709])).
% 9.90/7.43 tff(37712,plain,
% 9.90/7.43 ((~(v142(constB61) <=> (~((~v143(constB61)) | (~v144(constB61)))))) | (~v142(constB61)) | (~((~v143(constB61)) | (~v144(constB61))))),
% 9.90/7.43 inference(tautology,[status(thm)],[])).
% 9.90/7.43 tff(37713,plain,
% 9.90/7.43 (~v142(constB61)),
% 9.90/7.43 inference(unit_resolution,[status(thm)],[37712, 37711, 37694])).
% 9.90/7.43 tff(37714,plain,
% 9.90/7.43 ((~(v138(constB61) | v142(constB61))) | v138(constB61) | v142(constB61)),
% 9.90/7.43 inference(tautology,[status(thm)],[])).
% 9.90/7.43 tff(37715,plain,
% 9.90/7.43 (~(v138(constB61) | v142(constB61))),
% 9.90/7.43 inference(unit_resolution,[status(thm)],[37714, 37713, 37692])).
% 9.90/7.43 tff(37716,plain,
% 9.90/7.43 ((~(v135(constB61) <=> (v138(constB61) | v142(constB61)))) | (~v135(constB61)) | (v138(constB61) | v142(constB61))),
% 9.90/7.43 inference(tautology,[status(thm)],[])).
% 9.90/7.43 tff(37717,plain,
% 9.90/7.43 (~v135(constB61)),
% 9.90/7.43 inference(unit_resolution,[status(thm)],[37716, 37715, 37681])).
% 9.90/7.43 tff(37718,plain,
% 9.90/7.43 ((~(v137(constB62) <=> v135(constB61))) | (~v137(constB62)) | v135(constB61)),
% 9.90/7.43 inference(tautology,[status(thm)],[])).
% 9.90/7.43 tff(37719,plain,
% 9.90/7.43 (~v137(constB62)),
% 9.90/7.43 inference(unit_resolution,[status(thm)],[37718, 37717, 37679])).
% 9.90/7.43 tff(37720,plain,
% 9.90/7.43 ((~(v132(constB62) <=> v137(constB62))) | (~v132(constB62)) | v137(constB62)),
% 9.90/7.43 inference(tautology,[status(thm)],[])).
% 9.90/7.43 tff(37721,plain,
% 9.90/7.43 (~v132(constB62)),
% 9.90/7.43 inference(unit_resolution,[status(thm)],[37720, 37719, 37675])).
% 9.90/7.43 tff(37722,plain,
% 9.90/7.43 (((~v132(constB62)) | (~v139(constB62))) | v132(constB62)),
% 9.90/7.43 inference(tautology,[status(thm)],[])).
% 9.90/7.43 tff(37723,plain,
% 9.90/7.43 ((~v132(constB62)) | (~v139(constB62))),
% 9.90/7.43 inference(unit_resolution,[status(thm)],[37722, 37721])).
% 9.90/7.43 tff(37724,plain,
% 9.90/7.43 ((~(v138(constB62) <=> (~((~v132(constB62)) | (~v139(constB62)))))) | (~v138(constB62)) | (~((~v132(constB62)) | (~v139(constB62))))),
% 9.90/7.43 inference(tautology,[status(thm)],[])).
% 9.90/7.43 tff(37725,plain,
% 9.90/7.43 (~v138(constB62)),
% 9.90/7.43 inference(unit_resolution,[status(thm)],[37724, 37723, 37673])).
% 9.90/7.43 tff(37726,plain,
% 9.90/7.43 ((~(v138(constB62) | v142(constB62))) | v138(constB62) | v142(constB62)),
% 9.90/7.43 inference(tautology,[status(thm)],[])).
% 9.90/7.43 tff(37727,plain,
% 9.90/7.43 (~(v138(constB62) | v142(constB62))),
% 9.90/7.43 inference(unit_resolution,[status(thm)],[37726, 37725, 37666])).
% 9.90/7.43 tff(37728,plain,
% 9.90/7.43 ((~(v135(constB62) <=> (v138(constB62) | v142(constB62)))) | (~v135(constB62)) | (v138(constB62) | v142(constB62))),
% 9.90/7.43 inference(tautology,[status(thm)],[])).
% 9.90/7.43 tff(37729,plain,
% 9.90/7.43 (~v135(constB62)),
% 9.90/7.43 inference(unit_resolution,[status(thm)],[37728, 37727, 37653])).
% 9.90/7.43 tff(37730,plain,
% 9.90/7.43 ((~(v137(constB63) <=> v135(constB62))) | (~v137(constB63)) | v135(constB62)),
% 9.90/7.43 inference(tautology,[status(thm)],[])).
% 9.90/7.43 tff(37731,plain,
% 9.90/7.43 (~v137(constB63)),
% 9.90/7.43 inference(unit_resolution,[status(thm)],[37730, 37729, 37651])).
% 9.90/7.43 tff(37732,plain,
% 9.90/7.43 ((~(v132(constB63) <=> v137(constB63))) | (~v132(constB63)) | v137(constB63)),
% 9.90/7.43 inference(tautology,[status(thm)],[])).
% 9.90/7.43 tff(37733,plain,
% 9.90/7.43 (~v132(constB63)),
% 9.90/7.43 inference(unit_resolution,[status(thm)],[37732, 37731, 37647])).
% 9.90/7.43 tff(37734,plain,
% 9.90/7.43 (((~v132(constB63)) | (~v154(constB63))) | v132(constB63)),
% 9.90/7.43 inference(tautology,[status(thm)],[])).
% 9.90/7.43 tff(37735,plain,
% 9.90/7.43 ((~v132(constB63)) | (~v154(constB63))),
% 9.90/7.43 inference(unit_resolution,[status(thm)],[37734, 37733])).
% 9.90/7.43 tff(37736,plain,
% 9.90/7.43 ((~(v153(constB63) <=> (~((~v132(constB63)) | (~v154(constB63)))))) | (~v153(constB63)) | (~((~v132(constB63)) | (~v154(constB63))))),
% 9.90/7.43 inference(tautology,[status(thm)],[])).
% 9.90/7.43 tff(37737,plain,
% 9.90/7.43 (~v153(constB63)),
% 9.90/7.43 inference(unit_resolution,[status(thm)],[37736, 37735, 37645])).
% 9.90/7.43 tff(37738,plain,
% 9.90/7.43 ((~(v153(constB63) | v155(constB63))) | v153(constB63) | v155(constB63)),
% 9.90/7.43 inference(tautology,[status(thm)],[])).
% 9.90/7.43 tff(37739,plain,
% 9.90/7.43 (~(v153(constB63) | v155(constB63))),
% 9.90/7.43 inference(unit_resolution,[status(thm)],[37738, 37737, 37638])).
% 9.90/7.43 tff(37740,plain,
% 9.90/7.43 ((~(v150(constB63) <=> (v153(constB63) | v155(constB63)))) | (~v150(constB63)) | (v153(constB63) | v155(constB63))),
% 9.90/7.43 inference(tautology,[status(thm)],[])).
% 9.90/7.43 tff(37741,plain,
% 9.90/7.43 (~v150(constB63)),
% 9.90/7.43 inference(unit_resolution,[status(thm)],[37740, 37739, 37565])).
% 9.90/7.43 tff(37742,plain,
% 9.90/7.43 ((~(v152(constB64) <=> v150(constB63))) | (~v152(constB64)) | v150(constB63)),
% 9.90/7.43 inference(tautology,[status(thm)],[])).
% 9.90/7.43 tff(37743,plain,
% 9.90/7.43 (~v152(constB64)),
% 9.90/7.43 inference(unit_resolution,[status(thm)],[37742, 37741, 37563])).
% 9.90/7.43 tff(37744,plain,
% 9.90/7.43 ((~(v130(constB64) <=> v152(constB64))) | (~v130(constB64)) | v152(constB64)),
% 9.90/7.43 inference(tautology,[status(thm)],[])).
% 9.90/7.43 tff(37745,plain,
% 9.90/7.43 (~v130(constB64)),
% 9.90/7.43 inference(unit_resolution,[status(thm)],[37744, 37743, 37559])).
% 9.90/7.43 tff(37746,plain,
% 9.90/7.43 (((~v130(constB64)) | (~v139(constB64))) | v130(constB64)),
% 9.90/7.43 inference(tautology,[status(thm)],[])).
% 9.90/7.43 tff(37747,plain,
% 9.90/7.43 ((~v130(constB64)) | (~v139(constB64))),
% 9.90/7.43 inference(unit_resolution,[status(thm)],[37746, 37745])).
% 9.90/7.43 tff(37748,plain,
% 9.90/7.43 ((~(v155(constB64) <=> (~((~v130(constB64)) | (~v139(constB64)))))) | (~v155(constB64)) | (~((~v130(constB64)) | (~v139(constB64))))),
% 9.90/7.43 inference(tautology,[status(thm)],[])).
% 9.90/7.43 tff(37749,plain,
% 9.90/7.43 (~v155(constB64)),
% 9.90/7.43 inference(unit_resolution,[status(thm)],[37748, 37747, 37557])).
% 9.90/7.43 tff(37750,plain,
% 9.90/7.43 ((~(v153(constB64) | v155(constB64))) | v153(constB64) | v155(constB64)),
% 9.90/7.43 inference(tautology,[status(thm)],[])).
% 9.90/7.43 tff(37751,plain,
% 9.90/7.43 (~(v153(constB64) | v155(constB64))),
% 9.90/7.43 inference(unit_resolution,[status(thm)],[37750, 37749, 37550])).
% 9.90/7.43 tff(37752,plain,
% 9.90/7.43 ((~(v150(constB64) <=> (v153(constB64) | v155(constB64)))) | (~v150(constB64)) | (v153(constB64) | v155(constB64))),
% 9.90/7.43 inference(tautology,[status(thm)],[])).
% 9.90/7.43 tff(37753,plain,
% 9.90/7.43 (~v150(constB64)),
% 9.90/7.43 inference(unit_resolution,[status(thm)],[37752, 37751, 37515])).
% 9.90/7.43 tff(37754,plain,
% 9.90/7.43 ((~(v152(constB65) <=> v150(constB64))) | (~v152(constB65)) | v150(constB64)),
% 9.90/7.43 inference(tautology,[status(thm)],[])).
% 9.90/7.43 tff(37755,plain,
% 9.90/7.43 (~v152(constB65)),
% 9.90/7.43 inference(unit_resolution,[status(thm)],[37754, 37753, 37513])).
% 9.90/7.43 tff(37756,plain,
% 9.90/7.43 ((~(v130(constB65) <=> v152(constB65))) | (~v130(constB65)) | v152(constB65)),
% 9.90/7.43 inference(tautology,[status(thm)],[])).
% 9.90/7.43 tff(37757,plain,
% 9.90/7.43 (~v130(constB65)),
% 9.90/7.43 inference(unit_resolution,[status(thm)],[37756, 37755, 37509])).
% 9.90/7.43 tff(37758,plain,
% 9.90/7.43 (((~v130(constB65)) | (~v154(constB65))) | v130(constB65)),
% 9.90/7.43 inference(tautology,[status(thm)],[])).
% 9.90/7.43 tff(37759,plain,
% 9.90/7.43 ((~v130(constB65)) | (~v154(constB65))),
% 9.90/7.43 inference(unit_resolution,[status(thm)],[37758, 37757])).
% 9.90/7.43 tff(37760,plain,
% 9.90/7.43 ((~(v164(constB65) <=> (~((~v130(constB65)) | (~v154(constB65)))))) | (~v164(constB65)) | (~((~v130(constB65)) | (~v154(constB65))))),
% 9.90/7.43 inference(tautology,[status(thm)],[])).
% 9.90/7.43 tff(37761,plain,
% 9.90/7.43 (~v164(constB65)),
% 9.90/7.43 inference(unit_resolution,[status(thm)],[37760, 37759, 37507])).
% 9.90/7.43 tff(37762,plain,
% 9.90/7.43 ((~(v163(constB65) | v164(constB65))) | v163(constB65) | v164(constB65)),
% 9.90/7.43 inference(tautology,[status(thm)],[])).
% 9.90/7.43 tff(37763,plain,
% 9.90/7.43 (~(v163(constB65) | v164(constB65))),
% 9.90/7.43 inference(unit_resolution,[status(thm)],[37762, 37761, 37500])).
% 9.90/7.43 tff(37764,plain,
% 9.90/7.43 ((~(v160(constB65) <=> (v163(constB65) | v164(constB65)))) | (~v160(constB65)) | (v163(constB65) | v164(constB65))),
% 9.90/7.43 inference(tautology,[status(thm)],[])).
% 9.90/7.43 tff(37765,plain,
% 9.90/7.43 (~v160(constB65)),
% 9.90/7.43 inference(unit_resolution,[status(thm)],[37764, 37763, 37427])).
% 9.90/7.43 tff(37766,plain,
% 9.90/7.43 ((~(v162(constB66) <=> v160(constB65))) | (~v162(constB66)) | v160(constB65)),
% 9.90/7.43 inference(tautology,[status(thm)],[])).
% 9.90/7.43 tff(37767,plain,
% 9.90/7.43 (~v162(constB66)),
% 9.90/7.43 inference(unit_resolution,[status(thm)],[37766, 37765, 37425])).
% 9.90/7.43 tff(37768,plain,
% 9.90/7.43 ((~(v128(constB66) <=> v162(constB66))) | (~v128(constB66)) | v162(constB66)),
% 9.90/7.43 inference(tautology,[status(thm)],[])).
% 9.90/7.43 tff(37769,plain,
% 9.90/7.43 (~v128(constB66)),
% 9.90/7.43 inference(unit_resolution,[status(thm)],[37768, 37767, 37421])).
% 9.90/7.43 tff(37770,plain,
% 9.90/7.43 (((~v128(constB66)) | (~v139(constB66))) | v128(constB66)),
% 9.90/7.43 inference(tautology,[status(thm)],[])).
% 9.90/7.43 tff(37771,plain,
% 9.90/7.43 ((~v128(constB66)) | (~v139(constB66))),
% 9.90/7.43 inference(unit_resolution,[status(thm)],[37770, 37769])).
% 9.90/7.43 tff(37772,plain,
% 9.90/7.43 ((~(v163(constB66) <=> (~((~v128(constB66)) | (~v139(constB66)))))) | (~v163(constB66)) | (~((~v128(constB66)) | (~v139(constB66))))),
% 9.90/7.43 inference(tautology,[status(thm)],[])).
% 9.90/7.43 tff(37773,plain,
% 9.90/7.43 (~v163(constB66)),
% 9.90/7.43 inference(unit_resolution,[status(thm)],[37772, 37771, 37419])).
% 9.90/7.43 tff(37774,plain,
% 9.90/7.43 ((~(v163(constB66) | v164(constB66))) | v163(constB66) | v164(constB66)),
% 9.90/7.43 inference(tautology,[status(thm)],[])).
% 9.90/7.43 tff(37775,plain,
% 9.90/7.43 (~(v163(constB66) | v164(constB66))),
% 9.90/7.43 inference(unit_resolution,[status(thm)],[37774, 37773, 37412])).
% 9.90/7.43 tff(37776,plain,
% 9.90/7.43 ((~(v160(constB66) <=> (v163(constB66) | v164(constB66)))) | (~v160(constB66)) | (v163(constB66) | v164(constB66))),
% 9.90/7.43 inference(tautology,[status(thm)],[])).
% 9.90/7.43 tff(37777,plain,
% 9.90/7.43 (~v160(constB66)),
% 9.90/7.43 inference(unit_resolution,[status(thm)],[37776, 37775, 37377])).
% 9.90/7.43 tff(37778,plain,
% 9.90/7.43 ((~(v162(constB67) <=> v160(constB66))) | (~v162(constB67)) | v160(constB66)),
% 9.90/7.43 inference(tautology,[status(thm)],[])).
% 9.90/7.43 tff(37779,plain,
% 9.90/7.43 (~v162(constB67)),
% 9.90/7.43 inference(unit_resolution,[status(thm)],[37778, 37777, 37375])).
% 9.90/7.43 tff(37780,plain,
% 9.90/7.43 ($false),
% 9.90/7.43 inference(unit_resolution,[status(thm)],[37779, 37371])).
% 9.90/7.43 tff(37781,plain,(~(constB67 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.90/7.43 tff(37782,assumption,(constB15 = VarCurr!0), introduced(assumption)).
% 9.90/7.43 tff(37783,plain,
% 9.90/7.43 (v162(constB15) <=> v162(VarCurr!0)),
% 9.90/7.43 inference(monotonicity,[status(thm)],[37782])).
% 9.90/7.43 tff(37784,plain,
% 9.90/7.43 (v162(VarCurr!0) <=> v162(constB15)),
% 9.90/7.43 inference(symmetry,[status(thm)],[37783])).
% 9.90/7.43 tff(37785,plain,
% 9.90/7.43 (v162(constB15)),
% 9.90/7.43 inference(modus_ponens,[status(thm)],[59, 37784])).
% 9.90/7.43 tff(37786,plain,
% 9.90/7.43 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB14, constB15)) | (v162(constB15) <=> v160(constB14)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB14, constB15)) | (v162(constB15) <=> v160(constB14)))),
% 9.90/7.43 inference(rewrite,[status(thm)],[])).
% 9.90/7.43 tff(37787,plain,
% 9.90/7.43 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB14, constB15)) | (v162(constB15) <=> v160(constB14)))),
% 9.90/7.43 inference(quant_inst,[status(thm)],[])).
% 9.90/7.43 tff(37788,plain,
% 9.90/7.43 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB14, constB15)) | (v162(constB15) <=> v160(constB14))),
% 9.90/7.43 inference(modus_ponens,[status(thm)],[37787, 37786])).
% 9.90/7.43 tff(37789,plain,
% 9.90/7.43 (v162(constB15) <=> v160(constB14)),
% 9.90/7.43 inference(unit_resolution,[status(thm)],[37788, 9092, 70])).
% 9.90/7.43 tff(37790,plain,
% 9.90/7.43 ((~![VarCurr: $i] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB14) <=> (v163(constB14) | v164(constB14)))),
% 9.90/7.43 inference(quant_inst,[status(thm)],[])).
% 9.90/7.43 tff(37791,plain,
% 9.90/7.43 (v160(constB14) <=> (v163(constB14) | v164(constB14))),
% 9.90/7.43 inference(unit_resolution,[status(thm)],[37790, 84])).
% 9.90/7.43 tff(37792,plain,
% 9.90/7.43 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB14) <=> (~((~v130(constB14)) | (~v154(constB14)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB14) <=> (~((~v130(constB14)) | (~v154(constB14))))))),
% 9.90/7.43 inference(rewrite,[status(thm)],[])).
% 9.90/7.43 tff(37793,plain,
% 9.90/7.43 ((v164(constB14) <=> (~((~v154(constB14)) | (~v130(constB14))))) <=> (v164(constB14) <=> (~((~v130(constB14)) | (~v154(constB14)))))),
% 9.90/7.43 inference(rewrite,[status(thm)],[])).
% 9.90/7.43 tff(37794,plain,
% 9.90/7.43 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB14) <=> (~((~v154(constB14)) | (~v130(constB14)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB14) <=> (~((~v130(constB14)) | (~v154(constB14))))))),
% 9.90/7.43 inference(monotonicity,[status(thm)],[37793])).
% 9.90/7.43 tff(37795,plain,
% 9.90/7.43 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB14) <=> (~((~v154(constB14)) | (~v130(constB14)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB14) <=> (~((~v130(constB14)) | (~v154(constB14))))))),
% 9.90/7.43 inference(transitivity,[status(thm)],[37794, 37792])).
% 9.90/7.43 tff(37796,plain,
% 9.90/7.43 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB14) <=> (~((~v154(constB14)) | (~v130(constB14)))))),
% 9.90/7.43 inference(quant_inst,[status(thm)],[])).
% 9.90/7.43 tff(37797,plain,
% 9.90/7.43 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB14) <=> (~((~v130(constB14)) | (~v154(constB14)))))),
% 9.90/7.43 inference(modus_ponens,[status(thm)],[37796, 37795])).
% 9.90/7.43 tff(37798,plain,
% 9.90/7.43 (v164(constB14) <=> (~((~v130(constB14)) | (~v154(constB14))))),
% 9.90/7.43 inference(unit_resolution,[status(thm)],[37797, 96])).
% 9.90/7.43 tff(37799,plain,
% 9.90/7.43 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB14) <=> (~((~v141(constB14)) | (~v143(constB14)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB14) <=> (~((~v141(constB14)) | (~v143(constB14))))))),
% 9.90/7.43 inference(rewrite,[status(thm)],[])).
% 9.90/7.43 tff(37800,plain,
% 9.90/7.43 ((v154(constB14) <=> (~((~v143(constB14)) | (~v141(constB14))))) <=> (v154(constB14) <=> (~((~v141(constB14)) | (~v143(constB14)))))),
% 9.90/7.43 inference(rewrite,[status(thm)],[])).
% 9.90/7.43 tff(37801,plain,
% 9.90/7.43 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB14) <=> (~((~v143(constB14)) | (~v141(constB14)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB14) <=> (~((~v141(constB14)) | (~v143(constB14))))))),
% 9.90/7.43 inference(monotonicity,[status(thm)],[37800])).
% 9.90/7.43 tff(37802,plain,
% 9.90/7.43 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB14) <=> (~((~v143(constB14)) | (~v141(constB14)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB14) <=> (~((~v141(constB14)) | (~v143(constB14))))))),
% 9.90/7.43 inference(transitivity,[status(thm)],[37801, 37799])).
% 9.90/7.43 tff(37803,plain,
% 9.90/7.43 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB14) <=> (~((~v143(constB14)) | (~v141(constB14)))))),
% 9.90/7.43 inference(quant_inst,[status(thm)],[])).
% 9.90/7.43 tff(37804,plain,
% 9.90/7.43 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB14) <=> (~((~v141(constB14)) | (~v143(constB14)))))),
% 9.90/7.43 inference(modus_ponens,[status(thm)],[37803, 37802])).
% 9.90/7.43 tff(37805,plain,
% 9.90/7.43 (v154(constB14) <=> (~((~v141(constB14)) | (~v143(constB14))))),
% 9.90/7.43 inference(unit_resolution,[status(thm)],[37804, 113])).
% 9.90/7.43 tff(37806,plain,
% 9.90/7.43 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB14) <=> (~((~v39(constB14)) | (~v9(constB14)))))),
% 9.90/7.43 inference(quant_inst,[status(thm)],[])).
% 9.90/7.43 tff(37807,plain,
% 9.90/7.43 (v141(constB14) <=> (~((~v39(constB14)) | (~v9(constB14))))),
% 9.90/7.43 inference(unit_resolution,[status(thm)],[37806, 130])).
% 9.90/7.43 tff(37808,plain,
% 9.90/7.43 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB14)) <=> v1(constB14))),
% 9.90/7.43 inference(quant_inst,[status(thm)],[])).
% 9.90/7.43 tff(37809,plain,
% 9.90/7.43 ((~v39(constB14)) <=> v1(constB14)),
% 9.90/7.43 inference(unit_resolution,[status(thm)],[37808, 139])).
% 9.90/7.43 tff(37810,plain,
% 9.90/7.43 ((~((~v39(constB14)) <=> v1(constB14))) | (~v39(constB14)) | (~v1(constB14))),
% 9.90/7.43 inference(tautology,[status(thm)],[])).
% 9.90/7.43 tff(37811,plain,
% 9.90/7.43 ((~((~v39(constB14)) <=> v1(constB14))) | (~v39(constB14))),
% 9.90/7.43 inference(unit_resolution,[status(thm)],[37810, 9154])).
% 9.90/7.43 tff(37812,plain,
% 9.90/7.43 (~v39(constB14)),
% 9.90/7.43 inference(unit_resolution,[status(thm)],[37811, 37809])).
% 9.90/7.43 tff(37813,plain,
% 9.90/7.43 (((~v39(constB14)) | (~v9(constB14))) | v39(constB14)),
% 9.90/7.43 inference(tautology,[status(thm)],[])).
% 9.90/7.43 tff(37814,plain,
% 9.90/7.43 ((~v39(constB14)) | (~v9(constB14))),
% 9.90/7.43 inference(unit_resolution,[status(thm)],[37813, 37812])).
% 9.90/7.43 tff(37815,plain,
% 9.90/7.43 ((~(v141(constB14) <=> (~((~v39(constB14)) | (~v9(constB14)))))) | (~v141(constB14)) | (~((~v39(constB14)) | (~v9(constB14))))),
% 9.90/7.43 inference(tautology,[status(thm)],[])).
% 9.90/7.43 tff(37816,plain,
% 9.90/7.43 ((~(v141(constB14) <=> (~((~v39(constB14)) | (~v9(constB14)))))) | (~v141(constB14))),
% 9.90/7.43 inference(unit_resolution,[status(thm)],[37815, 37814])).
% 9.90/7.43 tff(37817,plain,
% 9.90/7.43 (~v141(constB14)),
% 9.90/7.43 inference(unit_resolution,[status(thm)],[37816, 37807])).
% 9.90/7.43 tff(37818,plain,
% 9.90/7.43 (((~v141(constB14)) | (~v143(constB14))) | v141(constB14)),
% 9.90/7.43 inference(tautology,[status(thm)],[])).
% 9.90/7.43 tff(37819,plain,
% 9.90/7.43 ((~v141(constB14)) | (~v143(constB14))),
% 9.90/7.43 inference(unit_resolution,[status(thm)],[37818, 37817])).
% 9.90/7.43 tff(37820,plain,
% 9.90/7.43 ((~(v154(constB14) <=> (~((~v141(constB14)) | (~v143(constB14)))))) | (~v154(constB14)) | (~((~v141(constB14)) | (~v143(constB14))))),
% 9.90/7.43 inference(tautology,[status(thm)],[])).
% 9.90/7.43 tff(37821,plain,
% 9.90/7.43 ((~(v154(constB14) <=> (~((~v141(constB14)) | (~v143(constB14)))))) | (~v154(constB14))),
% 9.90/7.43 inference(unit_resolution,[status(thm)],[37820, 37819])).
% 9.90/7.43 tff(37822,plain,
% 9.90/7.43 (~v154(constB14)),
% 9.90/7.43 inference(unit_resolution,[status(thm)],[37821, 37805])).
% 9.90/7.43 tff(37823,plain,
% 9.90/7.43 (((~v130(constB14)) | (~v154(constB14))) | v154(constB14)),
% 9.90/7.43 inference(tautology,[status(thm)],[])).
% 9.90/7.43 tff(37824,plain,
% 9.90/7.43 ((~v130(constB14)) | (~v154(constB14))),
% 9.90/7.43 inference(unit_resolution,[status(thm)],[37823, 37822])).
% 9.90/7.43 tff(37825,plain,
% 9.90/7.43 ((~(v164(constB14) <=> (~((~v130(constB14)) | (~v154(constB14)))))) | (~v164(constB14)) | (~((~v130(constB14)) | (~v154(constB14))))),
% 9.90/7.43 inference(tautology,[status(thm)],[])).
% 9.90/7.43 tff(37826,plain,
% 9.90/7.43 (~v164(constB14)),
% 9.90/7.43 inference(unit_resolution,[status(thm)],[37825, 37824, 37798])).
% 9.90/7.43 tff(37827,plain,
% 9.90/7.43 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB14) <=> (~((~v128(constB14)) | (~v139(constB14)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB14) <=> (~((~v128(constB14)) | (~v139(constB14))))))),
% 9.90/7.43 inference(rewrite,[status(thm)],[])).
% 9.90/7.43 tff(37828,plain,
% 9.90/7.43 ((v163(constB14) <=> (~((~v139(constB14)) | (~v128(constB14))))) <=> (v163(constB14) <=> (~((~v128(constB14)) | (~v139(constB14)))))),
% 9.90/7.43 inference(rewrite,[status(thm)],[])).
% 9.90/7.43 tff(37829,plain,
% 9.90/7.43 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB14) <=> (~((~v139(constB14)) | (~v128(constB14)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB14) <=> (~((~v128(constB14)) | (~v139(constB14))))))),
% 9.90/7.43 inference(monotonicity,[status(thm)],[37828])).
% 9.90/7.43 tff(37830,plain,
% 9.90/7.43 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB14) <=> (~((~v139(constB14)) | (~v128(constB14)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB14) <=> (~((~v128(constB14)) | (~v139(constB14))))))),
% 9.90/7.43 inference(transitivity,[status(thm)],[37829, 37827])).
% 9.90/7.43 tff(37831,plain,
% 9.90/7.43 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB14) <=> (~((~v139(constB14)) | (~v128(constB14)))))),
% 9.90/7.43 inference(quant_inst,[status(thm)],[])).
% 9.90/7.43 tff(37832,plain,
% 9.90/7.43 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB14) <=> (~((~v128(constB14)) | (~v139(constB14)))))),
% 9.90/7.43 inference(modus_ponens,[status(thm)],[37831, 37830])).
% 9.90/7.43 tff(37833,plain,
% 9.90/7.43 (v163(constB14) <=> (~((~v128(constB14)) | (~v139(constB14))))),
% 9.90/7.43 inference(unit_resolution,[status(thm)],[37832, 171])).
% 9.90/7.43 tff(37834,plain,
% 9.90/7.43 ((~![VarNext: $i] : (v128(VarNext) <=> v162(VarNext))) | (v128(constB14) <=> v162(constB14))),
% 9.90/7.43 inference(quant_inst,[status(thm)],[])).
% 9.90/7.43 tff(37835,plain,
% 9.90/7.43 (v128(constB14) <=> v162(constB14)),
% 9.90/7.43 inference(unit_resolution,[status(thm)],[37834, 13])).
% 9.90/7.43 tff(37836,plain,
% 9.90/7.43 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB13, constB14)) | (v162(constB14) <=> v160(constB13)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB13, constB14)) | (v162(constB14) <=> v160(constB13)))),
% 9.90/7.44 inference(rewrite,[status(thm)],[])).
% 9.90/7.44 tff(37837,plain,
% 9.90/7.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB13, constB14)) | (v162(constB14) <=> v160(constB13)))),
% 9.90/7.44 inference(quant_inst,[status(thm)],[])).
% 9.90/7.44 tff(37838,plain,
% 9.90/7.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB13, constB14)) | (v162(constB14) <=> v160(constB13))),
% 9.90/7.44 inference(modus_ponens,[status(thm)],[37837, 37836])).
% 9.90/7.44 tff(37839,plain,
% 9.90/7.44 (v162(constB14) <=> v160(constB13)),
% 9.90/7.44 inference(unit_resolution,[status(thm)],[37838, 9124, 70])).
% 9.90/7.44 tff(37840,plain,
% 9.90/7.44 ((~![VarCurr: $i] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB13) <=> (v163(constB13) | v164(constB13)))),
% 9.90/7.44 inference(quant_inst,[status(thm)],[])).
% 9.90/7.44 tff(37841,plain,
% 9.90/7.44 (v160(constB13) <=> (v163(constB13) | v164(constB13))),
% 9.90/7.44 inference(unit_resolution,[status(thm)],[37840, 84])).
% 9.90/7.44 tff(37842,plain,
% 9.90/7.44 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB13) <=> (~((~v128(constB13)) | (~v139(constB13)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB13) <=> (~((~v128(constB13)) | (~v139(constB13))))))),
% 9.90/7.44 inference(rewrite,[status(thm)],[])).
% 9.90/7.44 tff(37843,plain,
% 9.90/7.44 ((v163(constB13) <=> (~((~v139(constB13)) | (~v128(constB13))))) <=> (v163(constB13) <=> (~((~v128(constB13)) | (~v139(constB13)))))),
% 9.90/7.44 inference(rewrite,[status(thm)],[])).
% 9.90/7.44 tff(37844,plain,
% 9.90/7.44 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB13) <=> (~((~v139(constB13)) | (~v128(constB13)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB13) <=> (~((~v128(constB13)) | (~v139(constB13))))))),
% 9.90/7.44 inference(monotonicity,[status(thm)],[37843])).
% 9.90/7.44 tff(37845,plain,
% 9.90/7.44 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB13) <=> (~((~v139(constB13)) | (~v128(constB13)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB13) <=> (~((~v128(constB13)) | (~v139(constB13))))))),
% 9.90/7.44 inference(transitivity,[status(thm)],[37844, 37842])).
% 9.90/7.44 tff(37846,plain,
% 9.90/7.44 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB13) <=> (~((~v139(constB13)) | (~v128(constB13)))))),
% 9.90/7.44 inference(quant_inst,[status(thm)],[])).
% 9.90/7.44 tff(37847,plain,
% 9.90/7.44 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB13) <=> (~((~v128(constB13)) | (~v139(constB13)))))),
% 9.90/7.44 inference(modus_ponens,[status(thm)],[37846, 37845])).
% 9.90/7.44 tff(37848,plain,
% 9.90/7.44 (v163(constB13) <=> (~((~v128(constB13)) | (~v139(constB13))))),
% 9.90/7.44 inference(unit_resolution,[status(thm)],[37847, 171])).
% 9.90/7.44 tff(37849,plain,
% 9.90/7.44 ((~![VarCurr: $i] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB13)) <=> v140(constB13))),
% 9.90/7.44 inference(quant_inst,[status(thm)],[])).
% 9.90/7.44 tff(37850,plain,
% 9.90/7.44 ((~v139(constB13)) <=> v140(constB13)),
% 9.90/7.44 inference(unit_resolution,[status(thm)],[37849, 203])).
% 9.90/7.44 tff(37851,plain,
% 9.90/7.44 ((~![VarCurr: $i] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB13) <=> (v141(constB13) | v26(constB13)))),
% 9.90/7.44 inference(quant_inst,[status(thm)],[])).
% 9.90/7.44 tff(37852,plain,
% 9.90/7.44 (v140(constB13) <=> (v141(constB13) | v26(constB13))),
% 9.90/7.44 inference(unit_resolution,[status(thm)],[37851, 212])).
% 9.90/7.44 tff(37853,plain,
% 9.90/7.44 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB13) <=> (~((~v39(constB13)) | (~v9(constB13)))))),
% 9.90/7.44 inference(quant_inst,[status(thm)],[])).
% 9.90/7.44 tff(37854,plain,
% 9.90/7.44 (v141(constB13) <=> (~((~v39(constB13)) | (~v9(constB13))))),
% 9.90/7.44 inference(unit_resolution,[status(thm)],[37853, 130])).
% 9.90/7.44 tff(37855,plain,
% 9.90/7.44 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB13, constB14)) | (v13(constB14) <=> v9(constB13)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB13, constB14)) | (v13(constB14) <=> v9(constB13)))),
% 9.90/7.44 inference(rewrite,[status(thm)],[])).
% 9.90/7.44 tff(37856,plain,
% 9.90/7.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB13, constB14)) | (v13(constB14) <=> v9(constB13)))),
% 9.90/7.44 inference(quant_inst,[status(thm)],[])).
% 9.90/7.44 tff(37857,plain,
% 9.90/7.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB13, constB14)) | (v13(constB14) <=> v9(constB13))),
% 9.90/7.44 inference(modus_ponens,[status(thm)],[37856, 37855])).
% 9.90/7.44 tff(37858,plain,
% 9.90/7.44 (v13(constB14) <=> v9(constB13)),
% 9.90/7.44 inference(unit_resolution,[status(thm)],[37857, 9124, 226])).
% 9.90/7.44 tff(37859,plain,
% 9.90/7.44 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB14) <=> v13(constB14))),
% 9.90/7.44 inference(quant_inst,[status(thm)],[])).
% 9.90/7.44 tff(37860,plain,
% 9.90/7.44 (v6(constB14) <=> v13(constB14)),
% 9.90/7.44 inference(unit_resolution,[status(thm)],[37859, 240])).
% 9.90/7.44 tff(37861,plain,
% 9.90/7.44 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB14)) <=> v6(constB14))),
% 9.90/7.44 inference(quant_inst,[status(thm)],[])).
% 9.90/7.44 tff(37862,plain,
% 9.90/7.44 ((~v21(constB14)) <=> v6(constB14)),
% 9.90/7.44 inference(unit_resolution,[status(thm)],[37861, 249])).
% 9.90/7.44 tff(37863,plain,
% 9.90/7.44 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB14) <=> (v20(constB14) | v21(constB14)))),
% 9.90/7.44 inference(quant_inst,[status(thm)],[])).
% 9.90/7.44 tff(37864,plain,
% 9.90/7.44 (v19(constB14) <=> (v20(constB14) | v21(constB14))),
% 9.90/7.44 inference(unit_resolution,[status(thm)],[37863, 258])).
% 9.90/7.44 tff(37865,plain,
% 9.90/7.44 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB14) <=> (~((~v19(constB14)) | (~v22(constB14)))))),
% 9.90/7.44 inference(quant_inst,[status(thm)],[])).
% 9.90/7.44 tff(37866,plain,
% 9.90/7.44 (v18(constB14) <=> (~((~v19(constB14)) | (~v22(constB14))))),
% 9.90/7.44 inference(unit_resolution,[status(thm)],[37865, 270])).
% 9.90/7.44 tff(37867,plain,
% 9.90/7.44 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB14)) <=> v18(constB14))),
% 9.90/7.44 inference(quant_inst,[status(thm)],[])).
% 9.90/7.44 tff(37868,plain,
% 9.90/7.44 ((~v4(constB14)) <=> v18(constB14)),
% 9.90/7.44 inference(unit_resolution,[status(thm)],[37867, 279])).
% 9.90/7.44 tff(37869,plain,
% 9.90/7.44 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB14)),
% 9.90/7.44 inference(quant_inst,[status(thm)],[])).
% 9.90/7.44 tff(37870,plain,
% 9.90/7.44 (v4(constB14)),
% 9.90/7.44 inference(unit_resolution,[status(thm)],[37869, 288])).
% 9.90/7.44 tff(37871,plain,
% 9.90/7.44 ((~((~v4(constB14)) <=> v18(constB14))) | (~v4(constB14)) | (~v18(constB14))),
% 9.90/7.44 inference(tautology,[status(thm)],[])).
% 9.90/7.44 tff(37872,plain,
% 9.90/7.44 (~v18(constB14)),
% 9.90/7.44 inference(unit_resolution,[status(thm)],[37871, 37870, 37868])).
% 9.90/7.44 tff(37873,plain,
% 9.90/7.44 ((~(v18(constB14) <=> (~((~v19(constB14)) | (~v22(constB14)))))) | v18(constB14) | ((~v19(constB14)) | (~v22(constB14)))),
% 9.90/7.44 inference(tautology,[status(thm)],[])).
% 9.90/7.44 tff(37874,plain,
% 9.90/7.44 ((~v19(constB14)) | (~v22(constB14))),
% 9.90/7.44 inference(unit_resolution,[status(thm)],[37873, 37872, 37866])).
% 9.90/7.44 tff(37875,plain,
% 9.90/7.44 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB14) <=> (v1(constB14) | v6(constB14)))),
% 9.90/7.44 inference(quant_inst,[status(thm)],[])).
% 9.90/7.44 tff(37876,plain,
% 9.90/7.44 (v22(constB14) <=> (v1(constB14) | v6(constB14))),
% 9.90/7.44 inference(unit_resolution,[status(thm)],[37875, 301])).
% 9.90/7.44 tff(37877,plain,
% 9.90/7.44 ((v1(constB14) | v6(constB14)) | (~v1(constB14))),
% 9.90/7.44 inference(tautology,[status(thm)],[])).
% 9.90/7.44 tff(37878,plain,
% 9.90/7.44 (v1(constB14) | v6(constB14)),
% 9.90/7.44 inference(unit_resolution,[status(thm)],[37877, 9154])).
% 9.90/7.44 tff(37879,plain,
% 9.90/7.44 ((~(v22(constB14) <=> (v1(constB14) | v6(constB14)))) | v22(constB14) | (~(v1(constB14) | v6(constB14)))),
% 9.90/7.44 inference(tautology,[status(thm)],[])).
% 9.90/7.44 tff(37880,plain,
% 9.90/7.44 ((~(v22(constB14) <=> (v1(constB14) | v6(constB14)))) | v22(constB14)),
% 9.90/7.44 inference(unit_resolution,[status(thm)],[37879, 37878])).
% 9.90/7.44 tff(37881,plain,
% 9.90/7.44 (v22(constB14)),
% 9.90/7.44 inference(unit_resolution,[status(thm)],[37880, 37876])).
% 9.90/7.44 tff(37882,plain,
% 9.90/7.44 ((~((~v19(constB14)) | (~v22(constB14)))) | (~v19(constB14)) | (~v22(constB14))),
% 9.90/7.44 inference(tautology,[status(thm)],[])).
% 9.90/7.44 tff(37883,plain,
% 9.90/7.44 ((~((~v19(constB14)) | (~v22(constB14)))) | (~v19(constB14))),
% 9.90/7.44 inference(unit_resolution,[status(thm)],[37882, 37881])).
% 9.90/7.44 tff(37884,plain,
% 9.90/7.44 (~v19(constB14)),
% 9.90/7.44 inference(unit_resolution,[status(thm)],[37883, 37874])).
% 9.90/7.44 tff(37885,plain,
% 9.90/7.44 ((~(v19(constB14) <=> (v20(constB14) | v21(constB14)))) | v19(constB14) | (~(v20(constB14) | v21(constB14)))),
% 9.90/7.44 inference(tautology,[status(thm)],[])).
% 9.90/7.44 tff(37886,plain,
% 9.90/7.44 (~(v20(constB14) | v21(constB14))),
% 9.90/7.44 inference(unit_resolution,[status(thm)],[37885, 37884, 37864])).
% 9.90/7.44 tff(37887,plain,
% 9.90/7.44 ((v20(constB14) | v21(constB14)) | (~v21(constB14))),
% 9.90/7.44 inference(tautology,[status(thm)],[])).
% 9.90/7.44 tff(37888,plain,
% 9.90/7.44 (~v21(constB14)),
% 9.90/7.44 inference(unit_resolution,[status(thm)],[37887, 37886])).
% 9.90/7.44 tff(37889,plain,
% 9.90/7.44 ((~((~v21(constB14)) <=> v6(constB14))) | v21(constB14) | v6(constB14)),
% 9.90/7.44 inference(tautology,[status(thm)],[])).
% 9.90/7.44 tff(37890,plain,
% 9.90/7.44 (v6(constB14)),
% 9.90/7.44 inference(unit_resolution,[status(thm)],[37889, 37888, 37862])).
% 9.90/7.44 tff(37891,plain,
% 9.90/7.44 ((~(v6(constB14) <=> v13(constB14))) | (~v6(constB14)) | v13(constB14)),
% 9.90/7.44 inference(tautology,[status(thm)],[])).
% 9.90/7.44 tff(37892,plain,
% 9.90/7.44 (v13(constB14)),
% 9.90/7.44 inference(unit_resolution,[status(thm)],[37891, 37890, 37860])).
% 9.90/7.44 tff(37893,plain,
% 9.90/7.44 ((~(v13(constB14) <=> v9(constB13))) | (~v13(constB14)) | v9(constB13)),
% 9.90/7.44 inference(tautology,[status(thm)],[])).
% 9.90/7.44 tff(37894,plain,
% 9.90/7.44 (v9(constB13)),
% 9.90/7.44 inference(unit_resolution,[status(thm)],[37893, 37892, 37858])).
% 9.90/7.44 tff(37895,plain,
% 9.90/7.44 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB13)) <=> v1(constB13))),
% 9.90/7.44 inference(quant_inst,[status(thm)],[])).
% 9.90/7.44 tff(37896,plain,
% 9.90/7.44 ((~v39(constB13)) <=> v1(constB13)),
% 9.90/7.44 inference(unit_resolution,[status(thm)],[37895, 139])).
% 9.90/7.44 tff(37897,plain,
% 9.90/7.44 ((~((~v39(constB13)) <=> v1(constB13))) | v39(constB13) | v1(constB13)),
% 9.90/7.44 inference(tautology,[status(thm)],[])).
% 9.90/7.44 tff(37898,plain,
% 9.90/7.44 ((~((~v39(constB13)) <=> v1(constB13))) | v39(constB13)),
% 9.90/7.44 inference(unit_resolution,[status(thm)],[37897, 9146])).
% 9.90/7.44 tff(37899,plain,
% 9.90/7.44 (v39(constB13)),
% 9.90/7.44 inference(unit_resolution,[status(thm)],[37898, 37896])).
% 9.90/7.44 tff(37900,plain,
% 9.90/7.44 ((~((~v39(constB13)) | (~v9(constB13)))) | (~v39(constB13)) | (~v9(constB13))),
% 9.90/7.44 inference(tautology,[status(thm)],[])).
% 9.90/7.44 tff(37901,plain,
% 9.90/7.44 ((~((~v39(constB13)) | (~v9(constB13)))) | (~v9(constB13))),
% 9.90/7.44 inference(unit_resolution,[status(thm)],[37900, 37899])).
% 9.90/7.44 tff(37902,plain,
% 9.90/7.44 (~((~v39(constB13)) | (~v9(constB13)))),
% 9.90/7.44 inference(unit_resolution,[status(thm)],[37901, 37894])).
% 9.90/7.44 tff(37903,plain,
% 9.90/7.44 ((~(v141(constB13) <=> (~((~v39(constB13)) | (~v9(constB13)))))) | v141(constB13) | ((~v39(constB13)) | (~v9(constB13)))),
% 9.90/7.44 inference(tautology,[status(thm)],[])).
% 9.90/7.44 tff(37904,plain,
% 9.90/7.44 (v141(constB13)),
% 9.90/7.44 inference(unit_resolution,[status(thm)],[37903, 37902, 37854])).
% 9.90/7.44 tff(37905,plain,
% 9.90/7.44 ((v141(constB13) | v26(constB13)) | (~v141(constB13))),
% 9.90/7.44 inference(tautology,[status(thm)],[])).
% 9.90/7.44 tff(37906,plain,
% 9.90/7.44 (v141(constB13) | v26(constB13)),
% 9.90/7.44 inference(unit_resolution,[status(thm)],[37905, 37904])).
% 9.90/7.44 tff(37907,plain,
% 9.90/7.44 ((~(v140(constB13) <=> (v141(constB13) | v26(constB13)))) | v140(constB13) | (~(v141(constB13) | v26(constB13)))),
% 9.90/7.44 inference(tautology,[status(thm)],[])).
% 9.90/7.44 tff(37908,plain,
% 9.90/7.44 (v140(constB13)),
% 9.90/7.44 inference(unit_resolution,[status(thm)],[37907, 37906, 37852])).
% 9.90/7.44 tff(37909,plain,
% 9.90/7.44 ((~((~v139(constB13)) <=> v140(constB13))) | (~v139(constB13)) | (~v140(constB13))),
% 9.90/7.44 inference(tautology,[status(thm)],[])).
% 9.90/7.44 tff(37910,plain,
% 9.90/7.44 (~v139(constB13)),
% 9.90/7.44 inference(unit_resolution,[status(thm)],[37909, 37908, 37850])).
% 9.90/7.44 tff(37911,plain,
% 9.90/7.44 (((~v128(constB13)) | (~v139(constB13))) | v139(constB13)),
% 9.90/7.44 inference(tautology,[status(thm)],[])).
% 9.90/7.44 tff(37912,plain,
% 9.90/7.44 ((~v128(constB13)) | (~v139(constB13))),
% 9.90/7.44 inference(unit_resolution,[status(thm)],[37911, 37910])).
% 9.90/7.44 tff(37913,plain,
% 9.90/7.44 ((~(v163(constB13) <=> (~((~v128(constB13)) | (~v139(constB13)))))) | (~v163(constB13)) | (~((~v128(constB13)) | (~v139(constB13))))),
% 9.90/7.44 inference(tautology,[status(thm)],[])).
% 9.90/7.44 tff(37914,plain,
% 9.90/7.44 (~v163(constB13)),
% 9.90/7.44 inference(unit_resolution,[status(thm)],[37913, 37912, 37848])).
% 9.90/7.44 tff(37915,plain,
% 9.90/7.44 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB13) <=> (~((~v130(constB13)) | (~v154(constB13)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB13) <=> (~((~v130(constB13)) | (~v154(constB13))))))),
% 9.90/7.44 inference(rewrite,[status(thm)],[])).
% 9.90/7.44 tff(37916,plain,
% 9.90/7.44 ((v164(constB13) <=> (~((~v154(constB13)) | (~v130(constB13))))) <=> (v164(constB13) <=> (~((~v130(constB13)) | (~v154(constB13)))))),
% 9.90/7.44 inference(rewrite,[status(thm)],[])).
% 9.90/7.44 tff(37917,plain,
% 9.90/7.44 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB13) <=> (~((~v154(constB13)) | (~v130(constB13)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB13) <=> (~((~v130(constB13)) | (~v154(constB13))))))),
% 9.90/7.44 inference(monotonicity,[status(thm)],[37916])).
% 9.90/7.44 tff(37918,plain,
% 9.90/7.44 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB13) <=> (~((~v154(constB13)) | (~v130(constB13)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB13) <=> (~((~v130(constB13)) | (~v154(constB13))))))),
% 9.90/7.44 inference(transitivity,[status(thm)],[37917, 37915])).
% 9.90/7.44 tff(37919,plain,
% 9.90/7.44 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB13) <=> (~((~v154(constB13)) | (~v130(constB13)))))),
% 9.90/7.44 inference(quant_inst,[status(thm)],[])).
% 9.90/7.44 tff(37920,plain,
% 9.90/7.44 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB13) <=> (~((~v130(constB13)) | (~v154(constB13)))))),
% 9.90/7.44 inference(modus_ponens,[status(thm)],[37919, 37918])).
% 9.90/7.44 tff(37921,plain,
% 9.90/7.44 (v164(constB13) <=> (~((~v130(constB13)) | (~v154(constB13))))),
% 9.90/7.44 inference(unit_resolution,[status(thm)],[37920, 96])).
% 9.90/7.44 tff(37922,plain,
% 9.90/7.44 ((~![VarNext: $i] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB13) <=> v152(constB13))),
% 9.90/7.44 inference(quant_inst,[status(thm)],[])).
% 9.90/7.44 tff(37923,plain,
% 9.90/7.44 (v130(constB13) <=> v152(constB13)),
% 9.90/7.44 inference(unit_resolution,[status(thm)],[37922, 361])).
% 9.90/7.44 tff(37924,plain,
% 9.90/7.44 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB12, constB13)) | (v152(constB13) <=> v150(constB12)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB12, constB13)) | (v152(constB13) <=> v150(constB12)))),
% 9.90/7.44 inference(rewrite,[status(thm)],[])).
% 9.90/7.44 tff(37925,plain,
% 9.90/7.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB12, constB13)) | (v152(constB13) <=> v150(constB12)))),
% 9.90/7.44 inference(quant_inst,[status(thm)],[])).
% 9.90/7.44 tff(37926,plain,
% 9.90/7.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB12, constB13)) | (v152(constB13) <=> v150(constB12))),
% 9.90/7.44 inference(modus_ponens,[status(thm)],[37925, 37924])).
% 9.90/7.44 tff(37927,plain,
% 9.90/7.44 (v152(constB13) <=> v150(constB12)),
% 9.90/7.44 inference(unit_resolution,[status(thm)],[37926, 9179, 373])).
% 9.90/7.44 tff(37928,plain,
% 9.90/7.44 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v153(VarCurr) | v155(VarCurr)))) | (v150(constB12) <=> (v153(constB12) | v155(constB12)))),
% 9.90/7.44 inference(quant_inst,[status(thm)],[])).
% 9.90/7.44 tff(37929,plain,
% 9.90/7.44 (v150(constB12) <=> (v153(constB12) | v155(constB12))),
% 9.90/7.44 inference(unit_resolution,[status(thm)],[37928, 387])).
% 9.90/7.44 tff(37930,plain,
% 9.90/7.44 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB12) <=> (~((~v132(constB12)) | (~v154(constB12)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB12) <=> (~((~v132(constB12)) | (~v154(constB12))))))),
% 9.90/7.44 inference(rewrite,[status(thm)],[])).
% 9.90/7.44 tff(37931,plain,
% 9.90/7.44 ((v153(constB12) <=> (~((~v154(constB12)) | (~v132(constB12))))) <=> (v153(constB12) <=> (~((~v132(constB12)) | (~v154(constB12)))))),
% 9.90/7.44 inference(rewrite,[status(thm)],[])).
% 9.90/7.44 tff(37932,plain,
% 9.90/7.44 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB12) <=> (~((~v154(constB12)) | (~v132(constB12)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB12) <=> (~((~v132(constB12)) | (~v154(constB12))))))),
% 9.90/7.44 inference(monotonicity,[status(thm)],[37931])).
% 9.90/7.44 tff(37933,plain,
% 9.90/7.44 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB12) <=> (~((~v154(constB12)) | (~v132(constB12)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB12) <=> (~((~v132(constB12)) | (~v154(constB12))))))),
% 9.90/7.44 inference(transitivity,[status(thm)],[37932, 37930])).
% 9.90/7.44 tff(37934,plain,
% 9.90/7.44 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB12) <=> (~((~v154(constB12)) | (~v132(constB12)))))),
% 9.90/7.44 inference(quant_inst,[status(thm)],[])).
% 9.90/7.44 tff(37935,plain,
% 9.90/7.44 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB12) <=> (~((~v132(constB12)) | (~v154(constB12)))))),
% 9.90/7.44 inference(modus_ponens,[status(thm)],[37934, 37933])).
% 9.90/7.44 tff(37936,plain,
% 9.90/7.44 (v153(constB12) <=> (~((~v132(constB12)) | (~v154(constB12))))),
% 9.90/7.44 inference(unit_resolution,[status(thm)],[37935, 399])).
% 9.90/7.44 tff(37937,plain,
% 9.90/7.44 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB12) <=> (~((~v141(constB12)) | (~v143(constB12)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB12) <=> (~((~v141(constB12)) | (~v143(constB12))))))),
% 9.90/7.44 inference(rewrite,[status(thm)],[])).
% 9.90/7.44 tff(37938,plain,
% 9.90/7.44 ((v154(constB12) <=> (~((~v143(constB12)) | (~v141(constB12))))) <=> (v154(constB12) <=> (~((~v141(constB12)) | (~v143(constB12)))))),
% 9.90/7.44 inference(rewrite,[status(thm)],[])).
% 9.90/7.44 tff(37939,plain,
% 9.90/7.44 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB12) <=> (~((~v143(constB12)) | (~v141(constB12)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB12) <=> (~((~v141(constB12)) | (~v143(constB12))))))),
% 9.90/7.44 inference(monotonicity,[status(thm)],[37938])).
% 9.90/7.44 tff(37940,plain,
% 9.90/7.44 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB12) <=> (~((~v143(constB12)) | (~v141(constB12)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB12) <=> (~((~v141(constB12)) | (~v143(constB12))))))),
% 9.90/7.44 inference(transitivity,[status(thm)],[37939, 37937])).
% 9.90/7.44 tff(37941,plain,
% 9.90/7.44 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB12) <=> (~((~v143(constB12)) | (~v141(constB12)))))),
% 9.90/7.44 inference(quant_inst,[status(thm)],[])).
% 9.90/7.44 tff(37942,plain,
% 9.90/7.44 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB12) <=> (~((~v141(constB12)) | (~v143(constB12)))))),
% 9.90/7.44 inference(modus_ponens,[status(thm)],[37941, 37940])).
% 9.90/7.44 tff(37943,plain,
% 9.90/7.44 (v154(constB12) <=> (~((~v141(constB12)) | (~v143(constB12))))),
% 9.90/7.44 inference(unit_resolution,[status(thm)],[37942, 113])).
% 9.90/7.44 tff(37944,plain,
% 9.90/7.44 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB12) <=> (~((~v39(constB12)) | (~v9(constB12)))))),
% 9.90/7.44 inference(quant_inst,[status(thm)],[])).
% 9.90/7.44 tff(37945,plain,
% 9.90/7.44 (v141(constB12) <=> (~((~v39(constB12)) | (~v9(constB12))))),
% 9.90/7.44 inference(unit_resolution,[status(thm)],[37944, 130])).
% 9.90/7.44 tff(37946,plain,
% 9.90/7.44 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB12)) <=> v1(constB12))),
% 9.90/7.44 inference(quant_inst,[status(thm)],[])).
% 9.90/7.44 tff(37947,plain,
% 9.90/7.44 ((~v39(constB12)) <=> v1(constB12)),
% 9.90/7.44 inference(unit_resolution,[status(thm)],[37946, 139])).
% 9.90/7.44 tff(37948,plain,
% 9.90/7.44 ((~((~v39(constB12)) <=> v1(constB12))) | (~v39(constB12)) | (~v1(constB12))),
% 9.90/7.44 inference(tautology,[status(thm)],[])).
% 9.90/7.44 tff(37949,plain,
% 9.90/7.44 ((~((~v39(constB12)) <=> v1(constB12))) | (~v39(constB12))),
% 9.90/7.44 inference(unit_resolution,[status(thm)],[37948, 9241])).
% 9.90/7.44 tff(37950,plain,
% 9.90/7.44 (~v39(constB12)),
% 9.90/7.44 inference(unit_resolution,[status(thm)],[37949, 37947])).
% 9.90/7.44 tff(37951,plain,
% 9.90/7.44 (((~v39(constB12)) | (~v9(constB12))) | v39(constB12)),
% 9.90/7.44 inference(tautology,[status(thm)],[])).
% 9.90/7.44 tff(37952,plain,
% 9.90/7.44 ((~v39(constB12)) | (~v9(constB12))),
% 9.90/7.44 inference(unit_resolution,[status(thm)],[37951, 37950])).
% 9.90/7.44 tff(37953,plain,
% 9.90/7.44 ((~(v141(constB12) <=> (~((~v39(constB12)) | (~v9(constB12)))))) | (~v141(constB12)) | (~((~v39(constB12)) | (~v9(constB12))))),
% 9.90/7.44 inference(tautology,[status(thm)],[])).
% 9.90/7.44 tff(37954,plain,
% 9.90/7.44 ((~(v141(constB12) <=> (~((~v39(constB12)) | (~v9(constB12)))))) | (~v141(constB12))),
% 9.90/7.44 inference(unit_resolution,[status(thm)],[37953, 37952])).
% 9.90/7.44 tff(37955,plain,
% 9.90/7.44 (~v141(constB12)),
% 9.90/7.44 inference(unit_resolution,[status(thm)],[37954, 37945])).
% 9.90/7.44 tff(37956,plain,
% 9.90/7.44 (((~v141(constB12)) | (~v143(constB12))) | v141(constB12)),
% 9.90/7.44 inference(tautology,[status(thm)],[])).
% 9.90/7.44 tff(37957,plain,
% 9.90/7.44 ((~v141(constB12)) | (~v143(constB12))),
% 9.90/7.44 inference(unit_resolution,[status(thm)],[37956, 37955])).
% 9.90/7.44 tff(37958,plain,
% 9.90/7.44 ((~(v154(constB12) <=> (~((~v141(constB12)) | (~v143(constB12)))))) | (~v154(constB12)) | (~((~v141(constB12)) | (~v143(constB12))))),
% 9.90/7.44 inference(tautology,[status(thm)],[])).
% 9.90/7.44 tff(37959,plain,
% 9.90/7.44 ((~(v154(constB12) <=> (~((~v141(constB12)) | (~v143(constB12)))))) | (~v154(constB12))),
% 9.90/7.44 inference(unit_resolution,[status(thm)],[37958, 37957])).
% 9.90/7.44 tff(37960,plain,
% 9.90/7.44 (~v154(constB12)),
% 9.90/7.44 inference(unit_resolution,[status(thm)],[37959, 37943])).
% 9.90/7.44 tff(37961,plain,
% 9.90/7.44 (((~v132(constB12)) | (~v154(constB12))) | v154(constB12)),
% 9.90/7.44 inference(tautology,[status(thm)],[])).
% 9.90/7.44 tff(37962,plain,
% 9.90/7.44 ((~v132(constB12)) | (~v154(constB12))),
% 9.90/7.44 inference(unit_resolution,[status(thm)],[37961, 37960])).
% 9.90/7.44 tff(37963,plain,
% 9.90/7.44 ((~(v153(constB12) <=> (~((~v132(constB12)) | (~v154(constB12)))))) | (~v153(constB12)) | (~((~v132(constB12)) | (~v154(constB12))))),
% 9.90/7.44 inference(tautology,[status(thm)],[])).
% 9.90/7.44 tff(37964,plain,
% 9.90/7.44 (~v153(constB12)),
% 9.90/7.44 inference(unit_resolution,[status(thm)],[37963, 37962, 37936])).
% 9.90/7.44 tff(37965,plain,
% 9.90/7.44 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB12) <=> (~((~v130(constB12)) | (~v139(constB12)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB12) <=> (~((~v130(constB12)) | (~v139(constB12))))))),
% 9.90/7.44 inference(rewrite,[status(thm)],[])).
% 9.90/7.44 tff(37966,plain,
% 9.90/7.44 ((v155(constB12) <=> (~((~v139(constB12)) | (~v130(constB12))))) <=> (v155(constB12) <=> (~((~v130(constB12)) | (~v139(constB12)))))),
% 9.90/7.44 inference(rewrite,[status(thm)],[])).
% 9.90/7.44 tff(37967,plain,
% 9.90/7.44 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB12) <=> (~((~v139(constB12)) | (~v130(constB12)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB12) <=> (~((~v130(constB12)) | (~v139(constB12))))))),
% 9.90/7.44 inference(monotonicity,[status(thm)],[37966])).
% 9.90/7.44 tff(37968,plain,
% 9.90/7.44 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB12) <=> (~((~v139(constB12)) | (~v130(constB12)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB12) <=> (~((~v130(constB12)) | (~v139(constB12))))))),
% 9.90/7.44 inference(transitivity,[status(thm)],[37967, 37965])).
% 9.90/7.44 tff(37969,plain,
% 9.90/7.44 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB12) <=> (~((~v139(constB12)) | (~v130(constB12)))))),
% 9.90/7.44 inference(quant_inst,[status(thm)],[])).
% 9.90/7.44 tff(37970,plain,
% 9.90/7.44 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB12) <=> (~((~v130(constB12)) | (~v139(constB12)))))),
% 9.90/7.44 inference(modus_ponens,[status(thm)],[37969, 37968])).
% 9.90/7.44 tff(37971,plain,
% 9.90/7.44 (v155(constB12) <=> (~((~v130(constB12)) | (~v139(constB12))))),
% 9.90/7.44 inference(unit_resolution,[status(thm)],[37970, 447])).
% 9.90/7.44 tff(37972,plain,
% 9.90/7.44 ((~![VarNext: $i] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB12) <=> v152(constB12))),
% 9.90/7.44 inference(quant_inst,[status(thm)],[])).
% 9.90/7.44 tff(37973,plain,
% 9.90/7.44 (v130(constB12) <=> v152(constB12)),
% 9.90/7.44 inference(unit_resolution,[status(thm)],[37972, 361])).
% 9.90/7.44 tff(37974,plain,
% 9.90/7.44 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB11, constB12)) | (v152(constB12) <=> v150(constB11)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB11, constB12)) | (v152(constB12) <=> v150(constB11)))),
% 9.90/7.44 inference(rewrite,[status(thm)],[])).
% 9.90/7.44 tff(37975,plain,
% 9.90/7.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB11, constB12)) | (v152(constB12) <=> v150(constB11)))),
% 9.90/7.44 inference(quant_inst,[status(thm)],[])).
% 9.90/7.44 tff(37976,plain,
% 9.90/7.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB11, constB12)) | (v152(constB12) <=> v150(constB11))),
% 9.90/7.44 inference(modus_ponens,[status(thm)],[37975, 37974])).
% 9.90/7.44 tff(37977,plain,
% 9.90/7.44 (v152(constB12) <=> v150(constB11)),
% 9.90/7.44 inference(unit_resolution,[status(thm)],[37976, 9211, 373])).
% 9.90/7.44 tff(37978,plain,
% 9.90/7.44 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v153(VarCurr) | v155(VarCurr)))) | (v150(constB11) <=> (v153(constB11) | v155(constB11)))),
% 9.90/7.44 inference(quant_inst,[status(thm)],[])).
% 9.90/7.44 tff(37979,plain,
% 9.90/7.44 (v150(constB11) <=> (v153(constB11) | v155(constB11))),
% 9.90/7.44 inference(unit_resolution,[status(thm)],[37978, 387])).
% 9.90/7.44 tff(37980,plain,
% 9.90/7.44 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB11) <=> (~((~v130(constB11)) | (~v139(constB11)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB11) <=> (~((~v130(constB11)) | (~v139(constB11))))))),
% 9.90/7.44 inference(rewrite,[status(thm)],[])).
% 9.90/7.44 tff(37981,plain,
% 9.90/7.44 ((v155(constB11) <=> (~((~v139(constB11)) | (~v130(constB11))))) <=> (v155(constB11) <=> (~((~v130(constB11)) | (~v139(constB11)))))),
% 9.90/7.44 inference(rewrite,[status(thm)],[])).
% 9.90/7.44 tff(37982,plain,
% 9.90/7.44 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB11) <=> (~((~v139(constB11)) | (~v130(constB11)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB11) <=> (~((~v130(constB11)) | (~v139(constB11))))))),
% 9.90/7.44 inference(monotonicity,[status(thm)],[37981])).
% 9.90/7.44 tff(37983,plain,
% 9.90/7.44 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB11) <=> (~((~v139(constB11)) | (~v130(constB11)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB11) <=> (~((~v130(constB11)) | (~v139(constB11))))))),
% 9.90/7.44 inference(transitivity,[status(thm)],[37982, 37980])).
% 9.90/7.44 tff(37984,plain,
% 9.90/7.44 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB11) <=> (~((~v139(constB11)) | (~v130(constB11)))))),
% 9.90/7.44 inference(quant_inst,[status(thm)],[])).
% 9.90/7.44 tff(37985,plain,
% 9.90/7.44 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB11) <=> (~((~v130(constB11)) | (~v139(constB11)))))),
% 9.90/7.44 inference(modus_ponens,[status(thm)],[37984, 37983])).
% 9.90/7.44 tff(37986,plain,
% 9.90/7.44 (v155(constB11) <=> (~((~v130(constB11)) | (~v139(constB11))))),
% 9.90/7.44 inference(unit_resolution,[status(thm)],[37985, 447])).
% 9.90/7.44 tff(37987,plain,
% 9.90/7.44 ((~![VarCurr: $i] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB11)) <=> v140(constB11))),
% 9.90/7.44 inference(quant_inst,[status(thm)],[])).
% 9.90/7.44 tff(37988,plain,
% 9.90/7.44 ((~v139(constB11)) <=> v140(constB11)),
% 9.90/7.44 inference(unit_resolution,[status(thm)],[37987, 203])).
% 9.90/7.44 tff(37989,plain,
% 9.90/7.44 ((~![VarCurr: $i] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB11) <=> (v141(constB11) | v26(constB11)))),
% 9.90/7.44 inference(quant_inst,[status(thm)],[])).
% 9.90/7.44 tff(37990,plain,
% 9.90/7.44 (v140(constB11) <=> (v141(constB11) | v26(constB11))),
% 9.90/7.44 inference(unit_resolution,[status(thm)],[37989, 212])).
% 9.90/7.44 tff(37991,plain,
% 9.90/7.44 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB11) <=> (~((~v39(constB11)) | (~v9(constB11)))))),
% 9.90/7.44 inference(quant_inst,[status(thm)],[])).
% 9.90/7.44 tff(37992,plain,
% 9.90/7.44 (v141(constB11) <=> (~((~v39(constB11)) | (~v9(constB11))))),
% 9.90/7.44 inference(unit_resolution,[status(thm)],[37991, 130])).
% 9.90/7.44 tff(37993,plain,
% 9.90/7.44 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB11, constB12)) | (v13(constB12) <=> v9(constB11)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB11, constB12)) | (v13(constB12) <=> v9(constB11)))),
% 9.90/7.44 inference(rewrite,[status(thm)],[])).
% 9.90/7.44 tff(37994,plain,
% 9.90/7.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB11, constB12)) | (v13(constB12) <=> v9(constB11)))),
% 9.90/7.44 inference(quant_inst,[status(thm)],[])).
% 9.90/7.44 tff(37995,plain,
% 9.90/7.44 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB11, constB12)) | (v13(constB12) <=> v9(constB11))),
% 9.90/7.44 inference(modus_ponens,[status(thm)],[37994, 37993])).
% 9.90/7.44 tff(37996,plain,
% 9.90/7.44 (v13(constB12) <=> v9(constB11)),
% 9.90/7.44 inference(unit_resolution,[status(thm)],[37995, 9211, 226])).
% 9.90/7.44 tff(37997,plain,
% 9.90/7.44 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB12) <=> v13(constB12))),
% 9.90/7.44 inference(quant_inst,[status(thm)],[])).
% 9.90/7.44 tff(37998,plain,
% 9.90/7.44 (v6(constB12) <=> v13(constB12)),
% 9.90/7.44 inference(unit_resolution,[status(thm)],[37997, 240])).
% 9.90/7.44 tff(37999,plain,
% 9.90/7.44 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB12)) <=> v6(constB12))),
% 9.90/7.44 inference(quant_inst,[status(thm)],[])).
% 9.90/7.44 tff(38000,plain,
% 9.90/7.44 ((~v21(constB12)) <=> v6(constB12)),
% 9.90/7.44 inference(unit_resolution,[status(thm)],[37999, 249])).
% 9.90/7.44 tff(38001,plain,
% 9.90/7.44 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB12) <=> (v20(constB12) | v21(constB12)))),
% 9.90/7.44 inference(quant_inst,[status(thm)],[])).
% 9.90/7.44 tff(38002,plain,
% 9.90/7.44 (v19(constB12) <=> (v20(constB12) | v21(constB12))),
% 9.90/7.44 inference(unit_resolution,[status(thm)],[38001, 258])).
% 9.90/7.44 tff(38003,plain,
% 9.90/7.44 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB12) <=> (~((~v19(constB12)) | (~v22(constB12)))))),
% 9.90/7.44 inference(quant_inst,[status(thm)],[])).
% 9.90/7.44 tff(38004,plain,
% 9.90/7.44 (v18(constB12) <=> (~((~v19(constB12)) | (~v22(constB12))))),
% 9.90/7.44 inference(unit_resolution,[status(thm)],[38003, 270])).
% 9.90/7.44 tff(38005,plain,
% 9.90/7.44 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB12)) <=> v18(constB12))),
% 9.90/7.44 inference(quant_inst,[status(thm)],[])).
% 9.90/7.44 tff(38006,plain,
% 9.90/7.44 ((~v4(constB12)) <=> v18(constB12)),
% 9.90/7.44 inference(unit_resolution,[status(thm)],[38005, 279])).
% 9.90/7.44 tff(38007,plain,
% 9.90/7.44 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB12)),
% 9.90/7.44 inference(quant_inst,[status(thm)],[])).
% 9.90/7.44 tff(38008,plain,
% 9.90/7.44 (v4(constB12)),
% 9.90/7.44 inference(unit_resolution,[status(thm)],[38007, 288])).
% 9.90/7.44 tff(38009,plain,
% 9.90/7.44 ((~((~v4(constB12)) <=> v18(constB12))) | (~v4(constB12)) | (~v18(constB12))),
% 9.90/7.44 inference(tautology,[status(thm)],[])).
% 9.90/7.44 tff(38010,plain,
% 9.90/7.44 (~v18(constB12)),
% 9.90/7.44 inference(unit_resolution,[status(thm)],[38009, 38008, 38006])).
% 9.90/7.44 tff(38011,plain,
% 9.90/7.44 ((~(v18(constB12) <=> (~((~v19(constB12)) | (~v22(constB12)))))) | v18(constB12) | ((~v19(constB12)) | (~v22(constB12)))),
% 9.90/7.44 inference(tautology,[status(thm)],[])).
% 9.90/7.44 tff(38012,plain,
% 9.90/7.44 ((~v19(constB12)) | (~v22(constB12))),
% 9.90/7.44 inference(unit_resolution,[status(thm)],[38011, 38010, 38004])).
% 9.90/7.44 tff(38013,plain,
% 9.90/7.44 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB12) <=> (v1(constB12) | v6(constB12)))),
% 9.90/7.44 inference(quant_inst,[status(thm)],[])).
% 9.90/7.44 tff(38014,plain,
% 9.90/7.44 (v22(constB12) <=> (v1(constB12) | v6(constB12))),
% 9.90/7.44 inference(unit_resolution,[status(thm)],[38013, 301])).
% 9.90/7.44 tff(38015,plain,
% 9.90/7.44 ((v1(constB12) | v6(constB12)) | (~v1(constB12))),
% 9.90/7.44 inference(tautology,[status(thm)],[])).
% 9.90/7.44 tff(38016,plain,
% 9.90/7.44 (v1(constB12) | v6(constB12)),
% 9.90/7.44 inference(unit_resolution,[status(thm)],[38015, 9241])).
% 9.90/7.44 tff(38017,plain,
% 9.90/7.44 ((~(v22(constB12) <=> (v1(constB12) | v6(constB12)))) | v22(constB12) | (~(v1(constB12) | v6(constB12)))),
% 9.90/7.44 inference(tautology,[status(thm)],[])).
% 9.90/7.44 tff(38018,plain,
% 9.90/7.44 ((~(v22(constB12) <=> (v1(constB12) | v6(constB12)))) | v22(constB12)),
% 9.90/7.44 inference(unit_resolution,[status(thm)],[38017, 38016])).
% 9.90/7.44 tff(38019,plain,
% 9.90/7.44 (v22(constB12)),
% 9.90/7.44 inference(unit_resolution,[status(thm)],[38018, 38014])).
% 9.90/7.44 tff(38020,plain,
% 9.90/7.44 ((~((~v19(constB12)) | (~v22(constB12)))) | (~v19(constB12)) | (~v22(constB12))),
% 9.90/7.44 inference(tautology,[status(thm)],[])).
% 9.90/7.44 tff(38021,plain,
% 9.90/7.44 ((~((~v19(constB12)) | (~v22(constB12)))) | (~v19(constB12))),
% 9.90/7.44 inference(unit_resolution,[status(thm)],[38020, 38019])).
% 9.90/7.44 tff(38022,plain,
% 9.90/7.44 (~v19(constB12)),
% 9.90/7.44 inference(unit_resolution,[status(thm)],[38021, 38012])).
% 9.90/7.44 tff(38023,plain,
% 9.90/7.44 ((~(v19(constB12) <=> (v20(constB12) | v21(constB12)))) | v19(constB12) | (~(v20(constB12) | v21(constB12)))),
% 9.90/7.44 inference(tautology,[status(thm)],[])).
% 9.90/7.44 tff(38024,plain,
% 9.90/7.44 (~(v20(constB12) | v21(constB12))),
% 9.90/7.44 inference(unit_resolution,[status(thm)],[38023, 38022, 38002])).
% 9.90/7.44 tff(38025,plain,
% 9.90/7.44 ((v20(constB12) | v21(constB12)) | (~v21(constB12))),
% 9.90/7.44 inference(tautology,[status(thm)],[])).
% 9.90/7.44 tff(38026,plain,
% 9.90/7.44 (~v21(constB12)),
% 9.90/7.44 inference(unit_resolution,[status(thm)],[38025, 38024])).
% 9.90/7.44 tff(38027,plain,
% 9.90/7.44 ((~((~v21(constB12)) <=> v6(constB12))) | v21(constB12) | v6(constB12)),
% 9.90/7.44 inference(tautology,[status(thm)],[])).
% 9.90/7.44 tff(38028,plain,
% 9.90/7.44 (v6(constB12)),
% 9.90/7.44 inference(unit_resolution,[status(thm)],[38027, 38026, 38000])).
% 9.90/7.44 tff(38029,plain,
% 9.90/7.44 ((~(v6(constB12) <=> v13(constB12))) | (~v6(constB12)) | v13(constB12)),
% 9.90/7.44 inference(tautology,[status(thm)],[])).
% 9.90/7.44 tff(38030,plain,
% 9.90/7.44 (v13(constB12)),
% 9.90/7.44 inference(unit_resolution,[status(thm)],[38029, 38028, 37998])).
% 9.90/7.44 tff(38031,plain,
% 9.90/7.44 ((~(v13(constB12) <=> v9(constB11))) | (~v13(constB12)) | v9(constB11)),
% 9.90/7.44 inference(tautology,[status(thm)],[])).
% 9.90/7.44 tff(38032,plain,
% 9.90/7.44 (v9(constB11)),
% 9.90/7.44 inference(unit_resolution,[status(thm)],[38031, 38030, 37996])).
% 9.90/7.44 tff(38033,plain,
% 9.90/7.44 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB11)) <=> v1(constB11))),
% 9.90/7.44 inference(quant_inst,[status(thm)],[])).
% 9.90/7.44 tff(38034,plain,
% 9.90/7.44 ((~v39(constB11)) <=> v1(constB11)),
% 9.90/7.44 inference(unit_resolution,[status(thm)],[38033, 139])).
% 9.90/7.44 tff(38035,plain,
% 9.90/7.44 ((~((~v39(constB11)) <=> v1(constB11))) | v39(constB11) | v1(constB11)),
% 9.90/7.44 inference(tautology,[status(thm)],[])).
% 9.90/7.44 tff(38036,plain,
% 9.90/7.44 ((~((~v39(constB11)) <=> v1(constB11))) | v39(constB11)),
% 9.90/7.44 inference(unit_resolution,[status(thm)],[38035, 9233])).
% 9.90/7.44 tff(38037,plain,
% 9.90/7.44 (v39(constB11)),
% 9.90/7.44 inference(unit_resolution,[status(thm)],[38036, 38034])).
% 9.90/7.44 tff(38038,plain,
% 9.90/7.44 ((~((~v39(constB11)) | (~v9(constB11)))) | (~v39(constB11)) | (~v9(constB11))),
% 9.90/7.44 inference(tautology,[status(thm)],[])).
% 9.90/7.44 tff(38039,plain,
% 9.90/7.44 ((~((~v39(constB11)) | (~v9(constB11)))) | (~v9(constB11))),
% 9.90/7.44 inference(unit_resolution,[status(thm)],[38038, 38037])).
% 9.90/7.44 tff(38040,plain,
% 9.90/7.44 (~((~v39(constB11)) | (~v9(constB11)))),
% 9.90/7.44 inference(unit_resolution,[status(thm)],[38039, 38032])).
% 9.90/7.44 tff(38041,plain,
% 9.90/7.44 ((~(v141(constB11) <=> (~((~v39(constB11)) | (~v9(constB11)))))) | v141(constB11) | ((~v39(constB11)) | (~v9(constB11)))),
% 9.90/7.44 inference(tautology,[status(thm)],[])).
% 9.90/7.44 tff(38042,plain,
% 9.90/7.44 (v141(constB11)),
% 9.90/7.44 inference(unit_resolution,[status(thm)],[38041, 38040, 37992])).
% 9.90/7.44 tff(38043,plain,
% 9.90/7.44 ((v141(constB11) | v26(constB11)) | (~v141(constB11))),
% 9.90/7.44 inference(tautology,[status(thm)],[])).
% 9.90/7.44 tff(38044,plain,
% 9.90/7.44 (v141(constB11) | v26(constB11)),
% 9.90/7.44 inference(unit_resolution,[status(thm)],[38043, 38042])).
% 9.90/7.44 tff(38045,plain,
% 9.90/7.44 ((~(v140(constB11) <=> (v141(constB11) | v26(constB11)))) | v140(constB11) | (~(v141(constB11) | v26(constB11)))),
% 9.90/7.44 inference(tautology,[status(thm)],[])).
% 9.90/7.44 tff(38046,plain,
% 9.90/7.44 (v140(constB11)),
% 9.90/7.44 inference(unit_resolution,[status(thm)],[38045, 38044, 37990])).
% 9.90/7.44 tff(38047,plain,
% 9.90/7.44 ((~((~v139(constB11)) <=> v140(constB11))) | (~v139(constB11)) | (~v140(constB11))),
% 9.90/7.44 inference(tautology,[status(thm)],[])).
% 9.90/7.44 tff(38048,plain,
% 9.90/7.44 (~v139(constB11)),
% 9.90/7.44 inference(unit_resolution,[status(thm)],[38047, 38046, 37988])).
% 9.90/7.44 tff(38049,plain,
% 9.90/7.44 (((~v130(constB11)) | (~v139(constB11))) | v139(constB11)),
% 9.90/7.44 inference(tautology,[status(thm)],[])).
% 9.90/7.44 tff(38050,plain,
% 9.90/7.44 ((~v130(constB11)) | (~v139(constB11))),
% 9.90/7.44 inference(unit_resolution,[status(thm)],[38049, 38048])).
% 9.90/7.44 tff(38051,plain,
% 9.90/7.44 ((~(v155(constB11) <=> (~((~v130(constB11)) | (~v139(constB11)))))) | (~v155(constB11)) | (~((~v130(constB11)) | (~v139(constB11))))),
% 9.90/7.44 inference(tautology,[status(thm)],[])).
% 9.90/7.44 tff(38052,plain,
% 9.90/7.44 (~v155(constB11)),
% 9.90/7.44 inference(unit_resolution,[status(thm)],[38051, 38050, 37986])).
% 9.90/7.44 tff(38053,plain,
% 9.90/7.44 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB11) <=> (~((~v132(constB11)) | (~v154(constB11)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB11) <=> (~((~v132(constB11)) | (~v154(constB11))))))),
% 9.90/7.44 inference(rewrite,[status(thm)],[])).
% 9.90/7.44 tff(38054,plain,
% 9.90/7.44 ((v153(constB11) <=> (~((~v154(constB11)) | (~v132(constB11))))) <=> (v153(constB11) <=> (~((~v132(constB11)) | (~v154(constB11)))))),
% 9.90/7.44 inference(rewrite,[status(thm)],[])).
% 9.90/7.44 tff(38055,plain,
% 9.90/7.44 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB11) <=> (~((~v154(constB11)) | (~v132(constB11)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB11) <=> (~((~v132(constB11)) | (~v154(constB11))))))),
% 9.90/7.45 inference(monotonicity,[status(thm)],[38054])).
% 9.90/7.45 tff(38056,plain,
% 9.90/7.45 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB11) <=> (~((~v154(constB11)) | (~v132(constB11)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB11) <=> (~((~v132(constB11)) | (~v154(constB11))))))),
% 9.90/7.45 inference(transitivity,[status(thm)],[38055, 38053])).
% 9.90/7.45 tff(38057,plain,
% 9.90/7.45 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB11) <=> (~((~v154(constB11)) | (~v132(constB11)))))),
% 9.90/7.45 inference(quant_inst,[status(thm)],[])).
% 9.90/7.45 tff(38058,plain,
% 9.90/7.45 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB11) <=> (~((~v132(constB11)) | (~v154(constB11)))))),
% 9.90/7.45 inference(modus_ponens,[status(thm)],[38057, 38056])).
% 9.90/7.45 tff(38059,plain,
% 9.90/7.45 (v153(constB11) <=> (~((~v132(constB11)) | (~v154(constB11))))),
% 9.90/7.45 inference(unit_resolution,[status(thm)],[38058, 399])).
% 9.90/7.45 tff(38060,plain,
% 9.90/7.45 ((~![VarNext: $i] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB11) <=> v137(constB11))),
% 9.90/7.45 inference(quant_inst,[status(thm)],[])).
% 9.90/7.45 tff(38061,plain,
% 9.90/7.45 (v132(constB11) <=> v137(constB11)),
% 9.90/7.45 inference(unit_resolution,[status(thm)],[38060, 558])).
% 9.90/7.45 tff(38062,plain,
% 9.90/7.45 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB10, constB11)) | (v137(constB11) <=> v135(constB10)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB10, constB11)) | (v137(constB11) <=> v135(constB10)))),
% 9.90/7.45 inference(rewrite,[status(thm)],[])).
% 9.90/7.45 tff(38063,plain,
% 9.90/7.45 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB10, constB11)) | (v137(constB11) <=> v135(constB10)))),
% 9.90/7.45 inference(quant_inst,[status(thm)],[])).
% 9.90/7.45 tff(38064,plain,
% 9.90/7.45 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB10, constB11)) | (v137(constB11) <=> v135(constB10))),
% 9.90/7.45 inference(modus_ponens,[status(thm)],[38063, 38062])).
% 9.90/7.45 tff(38065,plain,
% 9.90/7.45 (v137(constB11) <=> v135(constB10)),
% 9.90/7.45 inference(unit_resolution,[status(thm)],[38064, 9268, 570])).
% 9.90/7.45 tff(38066,plain,
% 9.90/7.45 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB10) <=> (v138(constB10) | v142(constB10)))),
% 9.90/7.45 inference(quant_inst,[status(thm)],[])).
% 9.90/7.45 tff(38067,plain,
% 9.90/7.45 (v135(constB10) <=> (v138(constB10) | v142(constB10))),
% 9.90/7.45 inference(unit_resolution,[status(thm)],[38066, 584])).
% 9.90/7.45 tff(38068,plain,
% 9.90/7.45 ((~![VarCurr: $i] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB10) <=> (~((~v143(constB10)) | (~v144(constB10)))))),
% 9.90/7.45 inference(quant_inst,[status(thm)],[])).
% 9.90/7.45 tff(38069,plain,
% 9.90/7.45 (v142(constB10) <=> (~((~v143(constB10)) | (~v144(constB10))))),
% 9.90/7.45 inference(unit_resolution,[status(thm)],[38068, 596])).
% 9.90/7.45 tff(38070,plain,
% 9.90/7.45 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB10) <=> (~((~v141(constB10)) | (~v145(constB10)))))),
% 9.90/7.45 inference(quant_inst,[status(thm)],[])).
% 9.90/7.45 tff(38071,plain,
% 9.90/7.45 (v144(constB10) <=> (~((~v141(constB10)) | (~v145(constB10))))),
% 9.90/7.45 inference(unit_resolution,[status(thm)],[38070, 608])).
% 9.90/7.45 tff(38072,plain,
% 9.90/7.45 (((~v141(constB10)) | (~v145(constB10))) | v141(constB10)),
% 9.90/7.45 inference(tautology,[status(thm)],[])).
% 9.90/7.45 tff(38073,plain,
% 9.90/7.45 ((~v141(constB10)) | (~v145(constB10))),
% 9.90/7.45 inference(unit_resolution,[status(thm)],[38072, 28646])).
% 9.90/7.45 tff(38074,plain,
% 9.90/7.45 ((~(v144(constB10) <=> (~((~v141(constB10)) | (~v145(constB10)))))) | (~v144(constB10)) | (~((~v141(constB10)) | (~v145(constB10))))),
% 9.90/7.45 inference(tautology,[status(thm)],[])).
% 9.90/7.45 tff(38075,plain,
% 9.90/7.45 ((~(v144(constB10) <=> (~((~v141(constB10)) | (~v145(constB10)))))) | (~v144(constB10))),
% 9.90/7.45 inference(unit_resolution,[status(thm)],[38074, 38073])).
% 9.90/7.45 tff(38076,plain,
% 9.90/7.45 (~v144(constB10)),
% 9.90/7.45 inference(unit_resolution,[status(thm)],[38075, 38071])).
% 9.90/7.45 tff(38077,plain,
% 9.90/7.45 (((~v143(constB10)) | (~v144(constB10))) | v144(constB10)),
% 9.90/7.45 inference(tautology,[status(thm)],[])).
% 9.90/7.45 tff(38078,plain,
% 9.90/7.45 ((~v143(constB10)) | (~v144(constB10))),
% 9.90/7.45 inference(unit_resolution,[status(thm)],[38077, 38076])).
% 9.90/7.45 tff(38079,plain,
% 9.90/7.45 ((~(v142(constB10) <=> (~((~v143(constB10)) | (~v144(constB10)))))) | (~v142(constB10)) | (~((~v143(constB10)) | (~v144(constB10))))),
% 9.90/7.45 inference(tautology,[status(thm)],[])).
% 9.90/7.45 tff(38080,plain,
% 9.90/7.45 (~v142(constB10)),
% 9.90/7.45 inference(unit_resolution,[status(thm)],[38079, 38078, 38069])).
% 9.90/7.45 tff(38081,plain,
% 9.90/7.45 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB10) <=> (~((~v132(constB10)) | (~v139(constB10)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB10) <=> (~((~v132(constB10)) | (~v139(constB10))))))),
% 9.90/7.45 inference(rewrite,[status(thm)],[])).
% 9.90/7.45 tff(38082,plain,
% 9.90/7.45 ((v138(constB10) <=> (~((~v139(constB10)) | (~v132(constB10))))) <=> (v138(constB10) <=> (~((~v132(constB10)) | (~v139(constB10)))))),
% 9.90/7.45 inference(rewrite,[status(thm)],[])).
% 9.90/7.45 tff(38083,plain,
% 9.90/7.45 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB10) <=> (~((~v139(constB10)) | (~v132(constB10)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB10) <=> (~((~v132(constB10)) | (~v139(constB10))))))),
% 9.90/7.45 inference(monotonicity,[status(thm)],[38082])).
% 9.90/7.45 tff(38084,plain,
% 9.90/7.45 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB10) <=> (~((~v139(constB10)) | (~v132(constB10)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB10) <=> (~((~v132(constB10)) | (~v139(constB10))))))),
% 9.90/7.45 inference(transitivity,[status(thm)],[38083, 38081])).
% 9.90/7.45 tff(38085,plain,
% 9.90/7.45 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB10) <=> (~((~v139(constB10)) | (~v132(constB10)))))),
% 9.90/7.45 inference(quant_inst,[status(thm)],[])).
% 9.90/7.45 tff(38086,plain,
% 9.90/7.45 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB10) <=> (~((~v132(constB10)) | (~v139(constB10)))))),
% 9.90/7.45 inference(modus_ponens,[status(thm)],[38085, 38084])).
% 9.90/7.45 tff(38087,plain,
% 9.90/7.45 (v138(constB10) <=> (~((~v132(constB10)) | (~v139(constB10))))),
% 9.90/7.45 inference(unit_resolution,[status(thm)],[38086, 644])).
% 9.90/7.45 tff(38088,plain,
% 9.90/7.45 ((~![VarNext: $i] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB10) <=> v137(constB10))),
% 9.90/7.45 inference(quant_inst,[status(thm)],[])).
% 9.90/7.45 tff(38089,plain,
% 9.90/7.45 (v132(constB10) <=> v137(constB10)),
% 9.90/7.45 inference(unit_resolution,[status(thm)],[38088, 558])).
% 9.90/7.45 tff(38090,plain,
% 9.90/7.45 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB9, constB10)) | (v137(constB10) <=> v135(constB9)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB9, constB10)) | (v137(constB10) <=> v135(constB9)))),
% 9.90/7.45 inference(rewrite,[status(thm)],[])).
% 9.90/7.45 tff(38091,plain,
% 9.90/7.45 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB9, constB10)) | (v137(constB10) <=> v135(constB9)))),
% 9.90/7.45 inference(quant_inst,[status(thm)],[])).
% 9.90/7.45 tff(38092,plain,
% 9.90/7.45 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB9, constB10)) | (v137(constB10) <=> v135(constB9))),
% 9.90/7.45 inference(modus_ponens,[status(thm)],[38091, 38090])).
% 9.90/7.45 tff(38093,plain,
% 9.90/7.45 (v137(constB10) <=> v135(constB9)),
% 9.90/7.45 inference(unit_resolution,[status(thm)],[38092, 9300, 570])).
% 9.90/7.45 tff(38094,plain,
% 9.90/7.45 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB9) <=> (v138(constB9) | v142(constB9)))),
% 9.90/7.45 inference(quant_inst,[status(thm)],[])).
% 9.90/7.45 tff(38095,plain,
% 9.90/7.45 (v135(constB9) <=> (v138(constB9) | v142(constB9))),
% 9.90/7.45 inference(unit_resolution,[status(thm)],[38094, 584])).
% 9.90/7.45 tff(38096,plain,
% 9.90/7.45 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB9) <=> (~((~v132(constB9)) | (~v139(constB9)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB9) <=> (~((~v132(constB9)) | (~v139(constB9))))))),
% 9.90/7.45 inference(rewrite,[status(thm)],[])).
% 9.90/7.45 tff(38097,plain,
% 9.90/7.45 ((v138(constB9) <=> (~((~v139(constB9)) | (~v132(constB9))))) <=> (v138(constB9) <=> (~((~v132(constB9)) | (~v139(constB9)))))),
% 9.90/7.45 inference(rewrite,[status(thm)],[])).
% 9.90/7.45 tff(38098,plain,
% 9.90/7.45 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB9) <=> (~((~v139(constB9)) | (~v132(constB9)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB9) <=> (~((~v132(constB9)) | (~v139(constB9))))))),
% 9.90/7.45 inference(monotonicity,[status(thm)],[38097])).
% 9.90/7.45 tff(38099,plain,
% 9.90/7.45 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB9) <=> (~((~v139(constB9)) | (~v132(constB9)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB9) <=> (~((~v132(constB9)) | (~v139(constB9))))))),
% 9.90/7.45 inference(transitivity,[status(thm)],[38098, 38096])).
% 9.90/7.45 tff(38100,plain,
% 9.90/7.45 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB9) <=> (~((~v139(constB9)) | (~v132(constB9)))))),
% 9.90/7.45 inference(quant_inst,[status(thm)],[])).
% 9.90/7.45 tff(38101,plain,
% 9.90/7.45 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB9) <=> (~((~v132(constB9)) | (~v139(constB9)))))),
% 9.90/7.45 inference(modus_ponens,[status(thm)],[38100, 38099])).
% 9.90/7.45 tff(38102,plain,
% 9.90/7.45 (v138(constB9) <=> (~((~v132(constB9)) | (~v139(constB9))))),
% 9.90/7.45 inference(unit_resolution,[status(thm)],[38101, 644])).
% 9.90/7.45 tff(38103,plain,
% 9.90/7.45 (((~v132(constB9)) | (~v139(constB9))) | v139(constB9)),
% 9.90/7.45 inference(tautology,[status(thm)],[])).
% 9.90/7.45 tff(38104,plain,
% 9.90/7.45 ((~v132(constB9)) | (~v139(constB9))),
% 9.90/7.45 inference(unit_resolution,[status(thm)],[38103, 28739])).
% 9.90/7.45 tff(38105,plain,
% 9.90/7.45 ((~(v138(constB9) <=> (~((~v132(constB9)) | (~v139(constB9)))))) | (~v138(constB9)) | (~((~v132(constB9)) | (~v139(constB9))))),
% 9.90/7.45 inference(tautology,[status(thm)],[])).
% 9.90/7.45 tff(38106,plain,
% 9.90/7.45 (~v138(constB9)),
% 9.90/7.45 inference(unit_resolution,[status(thm)],[38105, 38104, 38102])).
% 9.90/7.45 tff(38107,plain,
% 9.90/7.45 ((~![VarCurr: $i] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB9) <=> (~((~v143(constB9)) | (~v144(constB9)))))),
% 9.90/7.45 inference(quant_inst,[status(thm)],[])).
% 9.90/7.45 tff(38108,plain,
% 9.90/7.45 (v142(constB9) <=> (~((~v143(constB9)) | (~v144(constB9))))),
% 9.90/7.45 inference(unit_resolution,[status(thm)],[38107, 596])).
% 9.90/7.45 tff(38109,plain,
% 9.90/7.45 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB9) <=> (~((~v141(constB9)) | (~v145(constB9)))))),
% 9.90/7.45 inference(quant_inst,[status(thm)],[])).
% 9.90/7.45 tff(38110,plain,
% 9.90/7.45 (v144(constB9) <=> (~((~v141(constB9)) | (~v145(constB9))))),
% 9.90/7.45 inference(unit_resolution,[status(thm)],[38109, 608])).
% 9.90/7.45 tff(38111,plain,
% 9.90/7.45 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB9) <=> (~(v84(constB9, bitIndex2) | v84(constB9, bitIndex1) | (~v84(constB9, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB9) <=> (~(v84(constB9, bitIndex2) | v84(constB9, bitIndex1) | (~v84(constB9, bitIndex0))))))),
% 9.90/7.45 inference(rewrite,[status(thm)],[])).
% 9.90/7.45 tff(38112,plain,
% 9.90/7.45 ((v145(constB9) <=> (~(v84(constB9, bitIndex1) | v84(constB9, bitIndex2) | (~v84(constB9, bitIndex0))))) <=> (v145(constB9) <=> (~(v84(constB9, bitIndex2) | v84(constB9, bitIndex1) | (~v84(constB9, bitIndex0)))))),
% 9.90/7.45 inference(rewrite,[status(thm)],[])).
% 9.90/7.45 tff(38113,plain,
% 9.90/7.45 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB9) <=> (~(v84(constB9, bitIndex1) | v84(constB9, bitIndex2) | (~v84(constB9, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB9) <=> (~(v84(constB9, bitIndex2) | v84(constB9, bitIndex1) | (~v84(constB9, bitIndex0))))))),
% 9.90/7.45 inference(monotonicity,[status(thm)],[38112])).
% 9.90/7.45 tff(38114,plain,
% 9.90/7.45 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB9) <=> (~(v84(constB9, bitIndex1) | v84(constB9, bitIndex2) | (~v84(constB9, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB9) <=> (~(v84(constB9, bitIndex2) | v84(constB9, bitIndex1) | (~v84(constB9, bitIndex0))))))),
% 9.90/7.45 inference(transitivity,[status(thm)],[38113, 38111])).
% 9.90/7.45 tff(38115,plain,
% 9.90/7.45 ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB9) <=> (~(v84(constB9, bitIndex1) | v84(constB9, bitIndex2) | (~v84(constB9, bitIndex0)))))),
% 9.90/7.45 inference(quant_inst,[status(thm)],[])).
% 9.90/7.45 tff(38116,plain,
% 9.90/7.45 ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB9) <=> (~(v84(constB9, bitIndex2) | v84(constB9, bitIndex1) | (~v84(constB9, bitIndex0)))))),
% 9.90/7.45 inference(modus_ponens,[status(thm)],[38115, 38114])).
% 9.90/7.45 tff(38117,plain,
% 9.90/7.45 (v145(constB9) <=> (~(v84(constB9, bitIndex2) | v84(constB9, bitIndex1) | (~v84(constB9, bitIndex0))))),
% 9.90/7.45 inference(unit_resolution,[status(thm)],[38116, 755])).
% 9.90/7.45 tff(38118,plain,
% 9.90/7.45 ((v84(constB9, bitIndex2) | v84(constB9, bitIndex1) | (~v84(constB9, bitIndex0))) | (~v84(constB9, bitIndex2))),
% 9.90/7.45 inference(tautology,[status(thm)],[])).
% 9.90/7.45 tff(38119,plain,
% 9.90/7.45 (v84(constB9, bitIndex2) | v84(constB9, bitIndex1) | (~v84(constB9, bitIndex0))),
% 9.90/7.45 inference(unit_resolution,[status(thm)],[38118, 10528])).
% 9.90/7.45 tff(38120,plain,
% 9.90/7.45 ((~(v145(constB9) <=> (~(v84(constB9, bitIndex2) | v84(constB9, bitIndex1) | (~v84(constB9, bitIndex0)))))) | (~v145(constB9)) | (~(v84(constB9, bitIndex2) | v84(constB9, bitIndex1) | (~v84(constB9, bitIndex0))))),
% 9.90/7.45 inference(tautology,[status(thm)],[])).
% 9.90/7.45 tff(38121,plain,
% 9.90/7.45 (~v145(constB9)),
% 9.90/7.45 inference(unit_resolution,[status(thm)],[38120, 38119, 38117])).
% 9.90/7.45 tff(38122,plain,
% 9.90/7.45 (((~v141(constB9)) | (~v145(constB9))) | v145(constB9)),
% 9.90/7.45 inference(tautology,[status(thm)],[])).
% 9.90/7.45 tff(38123,plain,
% 9.90/7.45 ((~v141(constB9)) | (~v145(constB9))),
% 9.90/7.45 inference(unit_resolution,[status(thm)],[38122, 38121])).
% 9.90/7.45 tff(38124,plain,
% 9.90/7.45 ((~(v144(constB9) <=> (~((~v141(constB9)) | (~v145(constB9)))))) | (~v144(constB9)) | (~((~v141(constB9)) | (~v145(constB9))))),
% 9.90/7.45 inference(tautology,[status(thm)],[])).
% 9.90/7.45 tff(38125,plain,
% 9.90/7.45 (~v144(constB9)),
% 9.90/7.45 inference(unit_resolution,[status(thm)],[38124, 38123, 38110])).
% 9.90/7.45 tff(38126,plain,
% 9.90/7.45 (((~v143(constB9)) | (~v144(constB9))) | v144(constB9)),
% 9.90/7.45 inference(tautology,[status(thm)],[])).
% 9.90/7.45 tff(38127,plain,
% 9.90/7.45 ((~v143(constB9)) | (~v144(constB9))),
% 9.90/7.45 inference(unit_resolution,[status(thm)],[38126, 38125])).
% 9.90/7.45 tff(38128,plain,
% 9.90/7.45 ((~(v142(constB9) <=> (~((~v143(constB9)) | (~v144(constB9)))))) | (~v142(constB9)) | (~((~v143(constB9)) | (~v144(constB9))))),
% 9.90/7.45 inference(tautology,[status(thm)],[])).
% 9.90/7.45 tff(38129,plain,
% 9.90/7.45 (~v142(constB9)),
% 9.90/7.45 inference(unit_resolution,[status(thm)],[38128, 38127, 38108])).
% 9.90/7.45 tff(38130,plain,
% 9.90/7.45 ((~(v138(constB9) | v142(constB9))) | v138(constB9) | v142(constB9)),
% 9.90/7.45 inference(tautology,[status(thm)],[])).
% 9.90/7.45 tff(38131,plain,
% 9.90/7.45 (~(v138(constB9) | v142(constB9))),
% 9.90/7.45 inference(unit_resolution,[status(thm)],[38130, 38129, 38106])).
% 9.90/7.45 tff(38132,plain,
% 9.90/7.45 ((~(v135(constB9) <=> (v138(constB9) | v142(constB9)))) | (~v135(constB9)) | (v138(constB9) | v142(constB9))),
% 9.90/7.45 inference(tautology,[status(thm)],[])).
% 9.90/7.45 tff(38133,plain,
% 9.90/7.45 (~v135(constB9)),
% 9.90/7.45 inference(unit_resolution,[status(thm)],[38132, 38131, 38095])).
% 9.90/7.45 tff(38134,plain,
% 9.90/7.45 ((~(v137(constB10) <=> v135(constB9))) | (~v137(constB10)) | v135(constB9)),
% 9.90/7.45 inference(tautology,[status(thm)],[])).
% 9.90/7.45 tff(38135,plain,
% 9.90/7.45 (~v137(constB10)),
% 9.90/7.45 inference(unit_resolution,[status(thm)],[38134, 38133, 38093])).
% 9.90/7.45 tff(38136,plain,
% 9.90/7.45 ((~(v132(constB10) <=> v137(constB10))) | (~v132(constB10)) | v137(constB10)),
% 9.90/7.45 inference(tautology,[status(thm)],[])).
% 9.90/7.45 tff(38137,plain,
% 9.90/7.45 (~v132(constB10)),
% 9.90/7.45 inference(unit_resolution,[status(thm)],[38136, 38135, 38089])).
% 9.90/7.45 tff(38138,plain,
% 9.90/7.45 (((~v132(constB10)) | (~v139(constB10))) | v132(constB10)),
% 9.90/7.45 inference(tautology,[status(thm)],[])).
% 9.90/7.45 tff(38139,plain,
% 9.90/7.45 ((~v132(constB10)) | (~v139(constB10))),
% 9.90/7.45 inference(unit_resolution,[status(thm)],[38138, 38137])).
% 9.90/7.45 tff(38140,plain,
% 9.90/7.45 ((~(v138(constB10) <=> (~((~v132(constB10)) | (~v139(constB10)))))) | (~v138(constB10)) | (~((~v132(constB10)) | (~v139(constB10))))),
% 9.90/7.45 inference(tautology,[status(thm)],[])).
% 9.90/7.45 tff(38141,plain,
% 9.90/7.45 (~v138(constB10)),
% 9.90/7.45 inference(unit_resolution,[status(thm)],[38140, 38139, 38087])).
% 9.90/7.45 tff(38142,plain,
% 9.90/7.45 ((~(v138(constB10) | v142(constB10))) | v138(constB10) | v142(constB10)),
% 9.90/7.45 inference(tautology,[status(thm)],[])).
% 9.90/7.45 tff(38143,plain,
% 9.90/7.45 (~(v138(constB10) | v142(constB10))),
% 9.90/7.45 inference(unit_resolution,[status(thm)],[38142, 38141, 38080])).
% 9.90/7.45 tff(38144,plain,
% 9.90/7.45 ((~(v135(constB10) <=> (v138(constB10) | v142(constB10)))) | (~v135(constB10)) | (v138(constB10) | v142(constB10))),
% 9.90/7.45 inference(tautology,[status(thm)],[])).
% 9.90/7.45 tff(38145,plain,
% 9.90/7.45 (~v135(constB10)),
% 9.90/7.45 inference(unit_resolution,[status(thm)],[38144, 38143, 38067])).
% 9.90/7.45 tff(38146,plain,
% 9.90/7.45 ((~(v137(constB11) <=> v135(constB10))) | (~v137(constB11)) | v135(constB10)),
% 9.90/7.45 inference(tautology,[status(thm)],[])).
% 9.90/7.45 tff(38147,plain,
% 9.90/7.45 (~v137(constB11)),
% 9.90/7.45 inference(unit_resolution,[status(thm)],[38146, 38145, 38065])).
% 9.90/7.45 tff(38148,plain,
% 9.90/7.45 ((~(v132(constB11) <=> v137(constB11))) | (~v132(constB11)) | v137(constB11)),
% 9.90/7.45 inference(tautology,[status(thm)],[])).
% 9.90/7.45 tff(38149,plain,
% 9.90/7.45 (~v132(constB11)),
% 9.90/7.45 inference(unit_resolution,[status(thm)],[38148, 38147, 38061])).
% 9.90/7.45 tff(38150,plain,
% 9.90/7.45 (((~v132(constB11)) | (~v154(constB11))) | v132(constB11)),
% 9.90/7.45 inference(tautology,[status(thm)],[])).
% 9.90/7.45 tff(38151,plain,
% 9.90/7.45 ((~v132(constB11)) | (~v154(constB11))),
% 9.90/7.45 inference(unit_resolution,[status(thm)],[38150, 38149])).
% 9.90/7.45 tff(38152,plain,
% 9.90/7.45 ((~(v153(constB11) <=> (~((~v132(constB11)) | (~v154(constB11)))))) | (~v153(constB11)) | (~((~v132(constB11)) | (~v154(constB11))))),
% 9.90/7.45 inference(tautology,[status(thm)],[])).
% 9.90/7.45 tff(38153,plain,
% 9.90/7.45 (~v153(constB11)),
% 9.90/7.45 inference(unit_resolution,[status(thm)],[38152, 38151, 38059])).
% 9.90/7.45 tff(38154,plain,
% 9.90/7.45 ((~(v153(constB11) | v155(constB11))) | v153(constB11) | v155(constB11)),
% 9.90/7.45 inference(tautology,[status(thm)],[])).
% 9.90/7.45 tff(38155,plain,
% 9.90/7.45 (~(v153(constB11) | v155(constB11))),
% 9.90/7.45 inference(unit_resolution,[status(thm)],[38154, 38153, 38052])).
% 9.90/7.45 tff(38156,plain,
% 9.90/7.45 ((~(v150(constB11) <=> (v153(constB11) | v155(constB11)))) | (~v150(constB11)) | (v153(constB11) | v155(constB11))),
% 9.90/7.45 inference(tautology,[status(thm)],[])).
% 9.90/7.45 tff(38157,plain,
% 9.90/7.45 (~v150(constB11)),
% 9.90/7.45 inference(unit_resolution,[status(thm)],[38156, 38155, 37979])).
% 9.90/7.45 tff(38158,plain,
% 9.90/7.45 ((~(v152(constB12) <=> v150(constB11))) | (~v152(constB12)) | v150(constB11)),
% 9.90/7.45 inference(tautology,[status(thm)],[])).
% 9.90/7.45 tff(38159,plain,
% 9.90/7.45 (~v152(constB12)),
% 9.90/7.45 inference(unit_resolution,[status(thm)],[38158, 38157, 37977])).
% 9.90/7.45 tff(38160,plain,
% 9.90/7.45 ((~(v130(constB12) <=> v152(constB12))) | (~v130(constB12)) | v152(constB12)),
% 9.90/7.45 inference(tautology,[status(thm)],[])).
% 9.90/7.45 tff(38161,plain,
% 9.90/7.45 (~v130(constB12)),
% 9.90/7.45 inference(unit_resolution,[status(thm)],[38160, 38159, 37973])).
% 9.90/7.45 tff(38162,plain,
% 9.90/7.45 (((~v130(constB12)) | (~v139(constB12))) | v130(constB12)),
% 9.90/7.45 inference(tautology,[status(thm)],[])).
% 9.90/7.45 tff(38163,plain,
% 9.90/7.45 ((~v130(constB12)) | (~v139(constB12))),
% 9.90/7.45 inference(unit_resolution,[status(thm)],[38162, 38161])).
% 9.90/7.45 tff(38164,plain,
% 9.90/7.45 ((~(v155(constB12) <=> (~((~v130(constB12)) | (~v139(constB12)))))) | (~v155(constB12)) | (~((~v130(constB12)) | (~v139(constB12))))),
% 9.90/7.45 inference(tautology,[status(thm)],[])).
% 9.90/7.45 tff(38165,plain,
% 9.90/7.45 (~v155(constB12)),
% 9.90/7.45 inference(unit_resolution,[status(thm)],[38164, 38163, 37971])).
% 9.90/7.45 tff(38166,plain,
% 9.90/7.45 ((~(v153(constB12) | v155(constB12))) | v153(constB12) | v155(constB12)),
% 9.90/7.45 inference(tautology,[status(thm)],[])).
% 9.90/7.45 tff(38167,plain,
% 9.90/7.45 (~(v153(constB12) | v155(constB12))),
% 9.90/7.45 inference(unit_resolution,[status(thm)],[38166, 38165, 37964])).
% 9.90/7.45 tff(38168,plain,
% 9.90/7.45 ((~(v150(constB12) <=> (v153(constB12) | v155(constB12)))) | (~v150(constB12)) | (v153(constB12) | v155(constB12))),
% 9.90/7.45 inference(tautology,[status(thm)],[])).
% 9.90/7.45 tff(38169,plain,
% 9.90/7.45 (~v150(constB12)),
% 9.90/7.45 inference(unit_resolution,[status(thm)],[38168, 38167, 37929])).
% 9.90/7.45 tff(38170,plain,
% 9.90/7.45 ((~(v152(constB13) <=> v150(constB12))) | (~v152(constB13)) | v150(constB12)),
% 9.90/7.45 inference(tautology,[status(thm)],[])).
% 9.90/7.45 tff(38171,plain,
% 9.90/7.45 (~v152(constB13)),
% 9.90/7.45 inference(unit_resolution,[status(thm)],[38170, 38169, 37927])).
% 9.90/7.45 tff(38172,plain,
% 9.90/7.45 ((~(v130(constB13) <=> v152(constB13))) | (~v130(constB13)) | v152(constB13)),
% 9.90/7.45 inference(tautology,[status(thm)],[])).
% 9.90/7.45 tff(38173,plain,
% 9.90/7.45 (~v130(constB13)),
% 9.90/7.45 inference(unit_resolution,[status(thm)],[38172, 38171, 37923])).
% 9.90/7.45 tff(38174,plain,
% 9.90/7.45 (((~v130(constB13)) | (~v154(constB13))) | v130(constB13)),
% 9.90/7.45 inference(tautology,[status(thm)],[])).
% 9.90/7.45 tff(38175,plain,
% 9.90/7.45 ((~v130(constB13)) | (~v154(constB13))),
% 9.90/7.45 inference(unit_resolution,[status(thm)],[38174, 38173])).
% 9.90/7.45 tff(38176,plain,
% 9.90/7.45 ((~(v164(constB13) <=> (~((~v130(constB13)) | (~v154(constB13)))))) | (~v164(constB13)) | (~((~v130(constB13)) | (~v154(constB13))))),
% 9.90/7.45 inference(tautology,[status(thm)],[])).
% 9.90/7.45 tff(38177,plain,
% 9.90/7.45 (~v164(constB13)),
% 9.90/7.45 inference(unit_resolution,[status(thm)],[38176, 38175, 37921])).
% 9.90/7.45 tff(38178,plain,
% 9.90/7.45 ((~(v163(constB13) | v164(constB13))) | v163(constB13) | v164(constB13)),
% 9.90/7.45 inference(tautology,[status(thm)],[])).
% 9.90/7.45 tff(38179,plain,
% 9.90/7.45 (~(v163(constB13) | v164(constB13))),
% 9.90/7.45 inference(unit_resolution,[status(thm)],[38178, 38177, 37914])).
% 9.90/7.45 tff(38180,plain,
% 9.90/7.45 ((~(v160(constB13) <=> (v163(constB13) | v164(constB13)))) | (~v160(constB13)) | (v163(constB13) | v164(constB13))),
% 9.90/7.45 inference(tautology,[status(thm)],[])).
% 9.90/7.45 tff(38181,plain,
% 9.90/7.45 (~v160(constB13)),
% 9.90/7.45 inference(unit_resolution,[status(thm)],[38180, 38179, 37841])).
% 9.90/7.45 tff(38182,plain,
% 9.90/7.45 ((~(v162(constB14) <=> v160(constB13))) | (~v162(constB14)) | v160(constB13)),
% 9.90/7.45 inference(tautology,[status(thm)],[])).
% 9.90/7.45 tff(38183,plain,
% 9.90/7.45 (~v162(constB14)),
% 9.90/7.45 inference(unit_resolution,[status(thm)],[38182, 38181, 37839])).
% 9.90/7.45 tff(38184,plain,
% 9.90/7.45 ((~(v128(constB14) <=> v162(constB14))) | (~v128(constB14)) | v162(constB14)),
% 9.90/7.45 inference(tautology,[status(thm)],[])).
% 9.90/7.45 tff(38185,plain,
% 9.90/7.45 (~v128(constB14)),
% 9.90/7.45 inference(unit_resolution,[status(thm)],[38184, 38183, 37835])).
% 9.90/7.45 tff(38186,plain,
% 9.90/7.45 (((~v128(constB14)) | (~v139(constB14))) | v128(constB14)),
% 9.90/7.45 inference(tautology,[status(thm)],[])).
% 9.90/7.45 tff(38187,plain,
% 9.90/7.45 ((~v128(constB14)) | (~v139(constB14))),
% 9.90/7.45 inference(unit_resolution,[status(thm)],[38186, 38185])).
% 9.90/7.45 tff(38188,plain,
% 9.90/7.45 ((~(v163(constB14) <=> (~((~v128(constB14)) | (~v139(constB14)))))) | (~v163(constB14)) | (~((~v128(constB14)) | (~v139(constB14))))),
% 9.90/7.45 inference(tautology,[status(thm)],[])).
% 9.90/7.45 tff(38189,plain,
% 9.90/7.45 (~v163(constB14)),
% 9.90/7.45 inference(unit_resolution,[status(thm)],[38188, 38187, 37833])).
% 9.90/7.45 tff(38190,plain,
% 9.90/7.45 ((~(v163(constB14) | v164(constB14))) | v163(constB14) | v164(constB14)),
% 9.90/7.45 inference(tautology,[status(thm)],[])).
% 9.90/7.45 tff(38191,plain,
% 9.90/7.45 (~(v163(constB14) | v164(constB14))),
% 9.90/7.45 inference(unit_resolution,[status(thm)],[38190, 38189, 37826])).
% 9.90/7.45 tff(38192,plain,
% 9.90/7.45 ((~(v160(constB14) <=> (v163(constB14) | v164(constB14)))) | (~v160(constB14)) | (v163(constB14) | v164(constB14))),
% 9.90/7.45 inference(tautology,[status(thm)],[])).
% 9.90/7.45 tff(38193,plain,
% 9.90/7.45 (~v160(constB14)),
% 9.90/7.45 inference(unit_resolution,[status(thm)],[38192, 38191, 37791])).
% 9.90/7.45 tff(38194,plain,
% 9.90/7.45 ((~(v162(constB15) <=> v160(constB14))) | (~v162(constB15)) | v160(constB14)),
% 9.90/7.45 inference(tautology,[status(thm)],[])).
% 9.90/7.45 tff(38195,plain,
% 9.90/7.45 (~v162(constB15)),
% 9.90/7.45 inference(unit_resolution,[status(thm)],[38194, 38193, 37789])).
% 9.90/7.45 tff(38196,plain,
% 9.90/7.45 ($false),
% 9.90/7.45 inference(unit_resolution,[status(thm)],[38195, 37785])).
% 9.90/7.45 tff(38197,plain,(~(constB15 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.90/7.45 tff(38198,assumption,(constB71 = VarCurr!0), introduced(assumption)).
% 9.90/7.45 tff(38199,plain,
% 9.90/7.45 (v162(constB71) <=> v162(VarCurr!0)),
% 9.90/7.45 inference(monotonicity,[status(thm)],[38198])).
% 9.90/7.45 tff(38200,plain,
% 9.90/7.45 (v162(VarCurr!0) <=> v162(constB71)),
% 9.90/7.45 inference(symmetry,[status(thm)],[38199])).
% 9.90/7.45 tff(38201,plain,
% 9.90/7.45 (v162(constB71)),
% 9.90/7.45 inference(modus_ponens,[status(thm)],[59, 38200])).
% 9.90/7.45 tff(38202,plain,
% 9.90/7.45 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB70, constB71)) | (v162(constB71) <=> v160(constB70)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB70, constB71)) | (v162(constB71) <=> v160(constB70)))),
% 9.90/7.45 inference(rewrite,[status(thm)],[])).
% 9.90/7.45 tff(38203,plain,
% 9.90/7.45 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB70, constB71)) | (v162(constB71) <=> v160(constB70)))),
% 9.90/7.45 inference(quant_inst,[status(thm)],[])).
% 9.90/7.45 tff(38204,plain,
% 9.90/7.45 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB70, constB71)) | (v162(constB71) <=> v160(constB70))),
% 9.90/7.45 inference(modus_ponens,[status(thm)],[38203, 38202])).
% 9.90/7.45 tff(38205,plain,
% 9.90/7.45 (v162(constB71) <=> v160(constB70)),
% 9.90/7.45 inference(unit_resolution,[status(thm)],[38204, 6533, 70])).
% 9.90/7.45 tff(38206,plain,
% 9.90/7.45 ((~![VarCurr: $i] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB70) <=> (v163(constB70) | v164(constB70)))),
% 9.90/7.45 inference(quant_inst,[status(thm)],[])).
% 9.90/7.45 tff(38207,plain,
% 9.90/7.45 (v160(constB70) <=> (v163(constB70) | v164(constB70))),
% 9.90/7.45 inference(unit_resolution,[status(thm)],[38206, 84])).
% 9.90/7.45 tff(38208,plain,
% 9.90/7.45 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB70) <=> (~((~v130(constB70)) | (~v154(constB70)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB70) <=> (~((~v130(constB70)) | (~v154(constB70))))))),
% 9.90/7.45 inference(rewrite,[status(thm)],[])).
% 9.90/7.45 tff(38209,plain,
% 9.90/7.45 ((v164(constB70) <=> (~((~v154(constB70)) | (~v130(constB70))))) <=> (v164(constB70) <=> (~((~v130(constB70)) | (~v154(constB70)))))),
% 9.90/7.45 inference(rewrite,[status(thm)],[])).
% 9.90/7.45 tff(38210,plain,
% 9.90/7.45 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB70) <=> (~((~v154(constB70)) | (~v130(constB70)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB70) <=> (~((~v130(constB70)) | (~v154(constB70))))))),
% 9.90/7.45 inference(monotonicity,[status(thm)],[38209])).
% 9.90/7.45 tff(38211,plain,
% 9.90/7.45 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB70) <=> (~((~v154(constB70)) | (~v130(constB70)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB70) <=> (~((~v130(constB70)) | (~v154(constB70))))))),
% 9.90/7.45 inference(transitivity,[status(thm)],[38210, 38208])).
% 9.90/7.45 tff(38212,plain,
% 9.90/7.45 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB70) <=> (~((~v154(constB70)) | (~v130(constB70)))))),
% 9.90/7.45 inference(quant_inst,[status(thm)],[])).
% 9.90/7.45 tff(38213,plain,
% 9.90/7.45 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB70) <=> (~((~v130(constB70)) | (~v154(constB70)))))),
% 9.90/7.45 inference(modus_ponens,[status(thm)],[38212, 38211])).
% 9.90/7.45 tff(38214,plain,
% 9.90/7.45 (v164(constB70) <=> (~((~v130(constB70)) | (~v154(constB70))))),
% 9.90/7.45 inference(unit_resolution,[status(thm)],[38213, 96])).
% 9.90/7.45 tff(38215,plain,
% 9.90/7.45 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB70) <=> (~((~v141(constB70)) | (~v143(constB70)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB70) <=> (~((~v141(constB70)) | (~v143(constB70))))))),
% 9.90/7.45 inference(rewrite,[status(thm)],[])).
% 9.90/7.45 tff(38216,plain,
% 9.90/7.45 ((v154(constB70) <=> (~((~v143(constB70)) | (~v141(constB70))))) <=> (v154(constB70) <=> (~((~v141(constB70)) | (~v143(constB70)))))),
% 9.90/7.45 inference(rewrite,[status(thm)],[])).
% 9.90/7.45 tff(38217,plain,
% 9.90/7.45 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB70) <=> (~((~v143(constB70)) | (~v141(constB70)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB70) <=> (~((~v141(constB70)) | (~v143(constB70))))))),
% 9.90/7.45 inference(monotonicity,[status(thm)],[38216])).
% 9.90/7.45 tff(38218,plain,
% 9.90/7.45 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB70) <=> (~((~v143(constB70)) | (~v141(constB70)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB70) <=> (~((~v141(constB70)) | (~v143(constB70))))))),
% 9.90/7.45 inference(transitivity,[status(thm)],[38217, 38215])).
% 9.90/7.45 tff(38219,plain,
% 9.90/7.45 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB70) <=> (~((~v143(constB70)) | (~v141(constB70)))))),
% 9.90/7.45 inference(quant_inst,[status(thm)],[])).
% 9.90/7.45 tff(38220,plain,
% 9.90/7.45 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB70) <=> (~((~v141(constB70)) | (~v143(constB70)))))),
% 9.90/7.45 inference(modus_ponens,[status(thm)],[38219, 38218])).
% 9.90/7.45 tff(38221,plain,
% 9.90/7.45 (v154(constB70) <=> (~((~v141(constB70)) | (~v143(constB70))))),
% 9.90/7.45 inference(unit_resolution,[status(thm)],[38220, 113])).
% 9.90/7.45 tff(38222,plain,
% 9.90/7.45 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB70) <=> (~((~v39(constB70)) | (~v9(constB70)))))),
% 9.90/7.45 inference(quant_inst,[status(thm)],[])).
% 9.90/7.45 tff(38223,plain,
% 9.90/7.45 (v141(constB70) <=> (~((~v39(constB70)) | (~v9(constB70))))),
% 9.90/7.45 inference(unit_resolution,[status(thm)],[38222, 130])).
% 9.90/7.45 tff(38224,plain,
% 9.90/7.45 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB70)) <=> v1(constB70))),
% 9.90/7.45 inference(quant_inst,[status(thm)],[])).
% 9.90/7.45 tff(38225,plain,
% 9.90/7.45 ((~v39(constB70)) <=> v1(constB70)),
% 9.90/7.45 inference(unit_resolution,[status(thm)],[38224, 139])).
% 9.90/7.45 tff(38226,plain,
% 9.90/7.45 ((~((~v39(constB70)) <=> v1(constB70))) | (~v39(constB70)) | (~v1(constB70))),
% 9.90/7.45 inference(tautology,[status(thm)],[])).
% 9.90/7.45 tff(38227,plain,
% 9.90/7.45 ((~((~v39(constB70)) <=> v1(constB70))) | (~v39(constB70))),
% 9.90/7.45 inference(unit_resolution,[status(thm)],[38226, 6595])).
% 9.90/7.45 tff(38228,plain,
% 9.90/7.45 (~v39(constB70)),
% 9.90/7.45 inference(unit_resolution,[status(thm)],[38227, 38225])).
% 9.90/7.45 tff(38229,plain,
% 9.90/7.45 (((~v39(constB70)) | (~v9(constB70))) | v39(constB70)),
% 9.90/7.45 inference(tautology,[status(thm)],[])).
% 9.90/7.45 tff(38230,plain,
% 9.90/7.45 ((~v39(constB70)) | (~v9(constB70))),
% 9.90/7.45 inference(unit_resolution,[status(thm)],[38229, 38228])).
% 9.90/7.45 tff(38231,plain,
% 9.90/7.45 ((~(v141(constB70) <=> (~((~v39(constB70)) | (~v9(constB70)))))) | (~v141(constB70)) | (~((~v39(constB70)) | (~v9(constB70))))),
% 9.90/7.45 inference(tautology,[status(thm)],[])).
% 9.90/7.45 tff(38232,plain,
% 9.90/7.45 ((~(v141(constB70) <=> (~((~v39(constB70)) | (~v9(constB70)))))) | (~v141(constB70))),
% 9.90/7.45 inference(unit_resolution,[status(thm)],[38231, 38230])).
% 9.90/7.45 tff(38233,plain,
% 9.90/7.45 (~v141(constB70)),
% 9.90/7.45 inference(unit_resolution,[status(thm)],[38232, 38223])).
% 9.90/7.45 tff(38234,plain,
% 9.90/7.45 (((~v141(constB70)) | (~v143(constB70))) | v141(constB70)),
% 9.90/7.45 inference(tautology,[status(thm)],[])).
% 9.90/7.45 tff(38235,plain,
% 9.90/7.45 ((~v141(constB70)) | (~v143(constB70))),
% 9.90/7.45 inference(unit_resolution,[status(thm)],[38234, 38233])).
% 9.90/7.45 tff(38236,plain,
% 9.90/7.45 ((~(v154(constB70) <=> (~((~v141(constB70)) | (~v143(constB70)))))) | (~v154(constB70)) | (~((~v141(constB70)) | (~v143(constB70))))),
% 9.90/7.45 inference(tautology,[status(thm)],[])).
% 9.90/7.45 tff(38237,plain,
% 9.90/7.45 ((~(v154(constB70) <=> (~((~v141(constB70)) | (~v143(constB70)))))) | (~v154(constB70))),
% 9.90/7.45 inference(unit_resolution,[status(thm)],[38236, 38235])).
% 9.90/7.45 tff(38238,plain,
% 9.90/7.45 (~v154(constB70)),
% 9.90/7.45 inference(unit_resolution,[status(thm)],[38237, 38221])).
% 9.90/7.45 tff(38239,plain,
% 9.90/7.45 (((~v130(constB70)) | (~v154(constB70))) | v154(constB70)),
% 9.90/7.45 inference(tautology,[status(thm)],[])).
% 9.90/7.45 tff(38240,plain,
% 9.90/7.45 ((~v130(constB70)) | (~v154(constB70))),
% 9.90/7.45 inference(unit_resolution,[status(thm)],[38239, 38238])).
% 9.90/7.45 tff(38241,plain,
% 9.90/7.45 ((~(v164(constB70) <=> (~((~v130(constB70)) | (~v154(constB70)))))) | (~v164(constB70)) | (~((~v130(constB70)) | (~v154(constB70))))),
% 9.90/7.45 inference(tautology,[status(thm)],[])).
% 9.90/7.45 tff(38242,plain,
% 9.90/7.45 (~v164(constB70)),
% 9.90/7.45 inference(unit_resolution,[status(thm)],[38241, 38240, 38214])).
% 9.90/7.45 tff(38243,plain,
% 9.90/7.45 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB70) <=> (~((~v128(constB70)) | (~v139(constB70)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB70) <=> (~((~v128(constB70)) | (~v139(constB70))))))),
% 9.90/7.45 inference(rewrite,[status(thm)],[])).
% 9.90/7.45 tff(38244,plain,
% 9.90/7.45 ((v163(constB70) <=> (~((~v139(constB70)) | (~v128(constB70))))) <=> (v163(constB70) <=> (~((~v128(constB70)) | (~v139(constB70)))))),
% 9.90/7.45 inference(rewrite,[status(thm)],[])).
% 9.90/7.45 tff(38245,plain,
% 9.90/7.45 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB70) <=> (~((~v139(constB70)) | (~v128(constB70)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB70) <=> (~((~v128(constB70)) | (~v139(constB70))))))),
% 9.90/7.45 inference(monotonicity,[status(thm)],[38244])).
% 9.90/7.45 tff(38246,plain,
% 9.90/7.45 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB70) <=> (~((~v139(constB70)) | (~v128(constB70)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB70) <=> (~((~v128(constB70)) | (~v139(constB70))))))),
% 9.90/7.45 inference(transitivity,[status(thm)],[38245, 38243])).
% 9.90/7.45 tff(38247,plain,
% 9.90/7.45 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB70) <=> (~((~v139(constB70)) | (~v128(constB70)))))),
% 9.90/7.45 inference(quant_inst,[status(thm)],[])).
% 9.90/7.45 tff(38248,plain,
% 9.90/7.45 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB70) <=> (~((~v128(constB70)) | (~v139(constB70)))))),
% 9.90/7.45 inference(modus_ponens,[status(thm)],[38247, 38246])).
% 9.90/7.45 tff(38249,plain,
% 9.90/7.45 (v163(constB70) <=> (~((~v128(constB70)) | (~v139(constB70))))),
% 9.90/7.45 inference(unit_resolution,[status(thm)],[38248, 171])).
% 9.90/7.45 tff(38250,plain,
% 9.90/7.45 ((~![VarNext: $i] : (v128(VarNext) <=> v162(VarNext))) | (v128(constB70) <=> v162(constB70))),
% 9.90/7.45 inference(quant_inst,[status(thm)],[])).
% 9.90/7.45 tff(38251,plain,
% 9.90/7.45 (v128(constB70) <=> v162(constB70)),
% 9.90/7.45 inference(unit_resolution,[status(thm)],[38250, 13])).
% 9.90/7.45 tff(38252,plain,
% 9.90/7.45 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB69, constB70)) | (v162(constB70) <=> v160(constB69)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB69, constB70)) | (v162(constB70) <=> v160(constB69)))),
% 9.90/7.45 inference(rewrite,[status(thm)],[])).
% 9.90/7.45 tff(38253,plain,
% 9.90/7.45 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB69, constB70)) | (v162(constB70) <=> v160(constB69)))),
% 9.90/7.45 inference(quant_inst,[status(thm)],[])).
% 9.90/7.45 tff(38254,plain,
% 9.90/7.45 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB69, constB70)) | (v162(constB70) <=> v160(constB69))),
% 9.90/7.45 inference(modus_ponens,[status(thm)],[38253, 38252])).
% 9.90/7.45 tff(38255,plain,
% 9.90/7.45 (v162(constB70) <=> v160(constB69)),
% 9.90/7.45 inference(unit_resolution,[status(thm)],[38254, 6565, 70])).
% 9.90/7.45 tff(38256,plain,
% 9.90/7.45 ((~![VarCurr: $i] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB69) <=> (v163(constB69) | v164(constB69)))),
% 9.90/7.45 inference(quant_inst,[status(thm)],[])).
% 9.90/7.45 tff(38257,plain,
% 9.90/7.45 (v160(constB69) <=> (v163(constB69) | v164(constB69))),
% 9.90/7.45 inference(unit_resolution,[status(thm)],[38256, 84])).
% 9.90/7.45 tff(38258,plain,
% 9.90/7.45 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB69) <=> (~((~v128(constB69)) | (~v139(constB69)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB69) <=> (~((~v128(constB69)) | (~v139(constB69))))))),
% 9.90/7.45 inference(rewrite,[status(thm)],[])).
% 9.90/7.45 tff(38259,plain,
% 9.90/7.45 ((v163(constB69) <=> (~((~v139(constB69)) | (~v128(constB69))))) <=> (v163(constB69) <=> (~((~v128(constB69)) | (~v139(constB69)))))),
% 9.90/7.45 inference(rewrite,[status(thm)],[])).
% 9.90/7.45 tff(38260,plain,
% 9.90/7.45 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB69) <=> (~((~v139(constB69)) | (~v128(constB69)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB69) <=> (~((~v128(constB69)) | (~v139(constB69))))))),
% 9.90/7.45 inference(monotonicity,[status(thm)],[38259])).
% 9.90/7.45 tff(38261,plain,
% 9.90/7.45 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB69) <=> (~((~v139(constB69)) | (~v128(constB69)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB69) <=> (~((~v128(constB69)) | (~v139(constB69))))))),
% 9.90/7.45 inference(transitivity,[status(thm)],[38260, 38258])).
% 9.90/7.45 tff(38262,plain,
% 9.90/7.45 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB69) <=> (~((~v139(constB69)) | (~v128(constB69)))))),
% 9.90/7.45 inference(quant_inst,[status(thm)],[])).
% 9.90/7.45 tff(38263,plain,
% 9.90/7.45 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB69) <=> (~((~v128(constB69)) | (~v139(constB69)))))),
% 9.90/7.45 inference(modus_ponens,[status(thm)],[38262, 38261])).
% 9.90/7.45 tff(38264,plain,
% 9.90/7.45 (v163(constB69) <=> (~((~v128(constB69)) | (~v139(constB69))))),
% 9.90/7.45 inference(unit_resolution,[status(thm)],[38263, 171])).
% 9.90/7.45 tff(38265,plain,
% 9.90/7.45 ((~![VarCurr: $i] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB69)) <=> v140(constB69))),
% 9.90/7.45 inference(quant_inst,[status(thm)],[])).
% 9.90/7.45 tff(38266,plain,
% 9.90/7.45 ((~v139(constB69)) <=> v140(constB69)),
% 9.90/7.45 inference(unit_resolution,[status(thm)],[38265, 203])).
% 9.90/7.45 tff(38267,plain,
% 9.90/7.45 ((~![VarCurr: $i] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB69) <=> (v141(constB69) | v26(constB69)))),
% 9.90/7.45 inference(quant_inst,[status(thm)],[])).
% 9.90/7.45 tff(38268,plain,
% 9.90/7.45 (v140(constB69) <=> (v141(constB69) | v26(constB69))),
% 9.90/7.45 inference(unit_resolution,[status(thm)],[38267, 212])).
% 9.90/7.46 tff(38269,plain,
% 9.90/7.46 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB69) <=> (~((~v39(constB69)) | (~v9(constB69)))))),
% 9.90/7.46 inference(quant_inst,[status(thm)],[])).
% 9.90/7.46 tff(38270,plain,
% 9.90/7.46 (v141(constB69) <=> (~((~v39(constB69)) | (~v9(constB69))))),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38269, 130])).
% 9.90/7.46 tff(38271,plain,
% 9.90/7.46 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB69, constB70)) | (v13(constB70) <=> v9(constB69)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB69, constB70)) | (v13(constB70) <=> v9(constB69)))),
% 9.90/7.46 inference(rewrite,[status(thm)],[])).
% 9.90/7.46 tff(38272,plain,
% 9.90/7.46 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB69, constB70)) | (v13(constB70) <=> v9(constB69)))),
% 9.90/7.46 inference(quant_inst,[status(thm)],[])).
% 9.90/7.46 tff(38273,plain,
% 9.90/7.46 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB69, constB70)) | (v13(constB70) <=> v9(constB69))),
% 9.90/7.46 inference(modus_ponens,[status(thm)],[38272, 38271])).
% 9.90/7.46 tff(38274,plain,
% 9.90/7.46 (v13(constB70) <=> v9(constB69)),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38273, 6565, 226])).
% 9.90/7.46 tff(38275,plain,
% 9.90/7.46 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB70) <=> v13(constB70))),
% 9.90/7.46 inference(quant_inst,[status(thm)],[])).
% 9.90/7.46 tff(38276,plain,
% 9.90/7.46 (v6(constB70) <=> v13(constB70)),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38275, 240])).
% 9.90/7.46 tff(38277,plain,
% 9.90/7.46 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB70)) <=> v6(constB70))),
% 9.90/7.46 inference(quant_inst,[status(thm)],[])).
% 9.90/7.46 tff(38278,plain,
% 9.90/7.46 ((~v21(constB70)) <=> v6(constB70)),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38277, 249])).
% 9.90/7.46 tff(38279,plain,
% 9.90/7.46 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB70) <=> (v20(constB70) | v21(constB70)))),
% 9.90/7.46 inference(quant_inst,[status(thm)],[])).
% 9.90/7.46 tff(38280,plain,
% 9.90/7.46 (v19(constB70) <=> (v20(constB70) | v21(constB70))),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38279, 258])).
% 9.90/7.46 tff(38281,plain,
% 9.90/7.46 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB70) <=> (~((~v19(constB70)) | (~v22(constB70)))))),
% 9.90/7.46 inference(quant_inst,[status(thm)],[])).
% 9.90/7.46 tff(38282,plain,
% 9.90/7.46 (v18(constB70) <=> (~((~v19(constB70)) | (~v22(constB70))))),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38281, 270])).
% 9.90/7.46 tff(38283,plain,
% 9.90/7.46 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB70)) <=> v18(constB70))),
% 9.90/7.46 inference(quant_inst,[status(thm)],[])).
% 9.90/7.46 tff(38284,plain,
% 9.90/7.46 ((~v4(constB70)) <=> v18(constB70)),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38283, 279])).
% 9.90/7.46 tff(38285,plain,
% 9.90/7.46 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB70)),
% 9.90/7.46 inference(quant_inst,[status(thm)],[])).
% 9.90/7.46 tff(38286,plain,
% 9.90/7.46 (v4(constB70)),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38285, 288])).
% 9.90/7.46 tff(38287,plain,
% 9.90/7.46 ((~((~v4(constB70)) <=> v18(constB70))) | (~v4(constB70)) | (~v18(constB70))),
% 9.90/7.46 inference(tautology,[status(thm)],[])).
% 9.90/7.46 tff(38288,plain,
% 9.90/7.46 (~v18(constB70)),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38287, 38286, 38284])).
% 9.90/7.46 tff(38289,plain,
% 9.90/7.46 ((~(v18(constB70) <=> (~((~v19(constB70)) | (~v22(constB70)))))) | v18(constB70) | ((~v19(constB70)) | (~v22(constB70)))),
% 9.90/7.46 inference(tautology,[status(thm)],[])).
% 9.90/7.46 tff(38290,plain,
% 9.90/7.46 ((~v19(constB70)) | (~v22(constB70))),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38289, 38288, 38282])).
% 9.90/7.46 tff(38291,plain,
% 9.90/7.46 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB70) <=> (v1(constB70) | v6(constB70)))),
% 9.90/7.46 inference(quant_inst,[status(thm)],[])).
% 9.90/7.46 tff(38292,plain,
% 9.90/7.46 (v22(constB70) <=> (v1(constB70) | v6(constB70))),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38291, 301])).
% 9.90/7.46 tff(38293,plain,
% 9.90/7.46 ((v1(constB70) | v6(constB70)) | (~v1(constB70))),
% 9.90/7.46 inference(tautology,[status(thm)],[])).
% 9.90/7.46 tff(38294,plain,
% 9.90/7.46 (v1(constB70) | v6(constB70)),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38293, 6595])).
% 9.90/7.46 tff(38295,plain,
% 9.90/7.46 ((~(v22(constB70) <=> (v1(constB70) | v6(constB70)))) | v22(constB70) | (~(v1(constB70) | v6(constB70)))),
% 9.90/7.46 inference(tautology,[status(thm)],[])).
% 9.90/7.46 tff(38296,plain,
% 9.90/7.46 ((~(v22(constB70) <=> (v1(constB70) | v6(constB70)))) | v22(constB70)),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38295, 38294])).
% 9.90/7.46 tff(38297,plain,
% 9.90/7.46 (v22(constB70)),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38296, 38292])).
% 9.90/7.46 tff(38298,plain,
% 9.90/7.46 ((~((~v19(constB70)) | (~v22(constB70)))) | (~v19(constB70)) | (~v22(constB70))),
% 9.90/7.46 inference(tautology,[status(thm)],[])).
% 9.90/7.46 tff(38299,plain,
% 9.90/7.46 ((~((~v19(constB70)) | (~v22(constB70)))) | (~v19(constB70))),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38298, 38297])).
% 9.90/7.46 tff(38300,plain,
% 9.90/7.46 (~v19(constB70)),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38299, 38290])).
% 9.90/7.46 tff(38301,plain,
% 9.90/7.46 ((~(v19(constB70) <=> (v20(constB70) | v21(constB70)))) | v19(constB70) | (~(v20(constB70) | v21(constB70)))),
% 9.90/7.46 inference(tautology,[status(thm)],[])).
% 9.90/7.46 tff(38302,plain,
% 9.90/7.46 (~(v20(constB70) | v21(constB70))),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38301, 38300, 38280])).
% 9.90/7.46 tff(38303,plain,
% 9.90/7.46 ((v20(constB70) | v21(constB70)) | (~v21(constB70))),
% 9.90/7.46 inference(tautology,[status(thm)],[])).
% 9.90/7.46 tff(38304,plain,
% 9.90/7.46 (~v21(constB70)),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38303, 38302])).
% 9.90/7.46 tff(38305,plain,
% 9.90/7.46 ((~((~v21(constB70)) <=> v6(constB70))) | v21(constB70) | v6(constB70)),
% 9.90/7.46 inference(tautology,[status(thm)],[])).
% 9.90/7.46 tff(38306,plain,
% 9.90/7.46 (v6(constB70)),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38305, 38304, 38278])).
% 9.90/7.46 tff(38307,plain,
% 9.90/7.46 ((~(v6(constB70) <=> v13(constB70))) | (~v6(constB70)) | v13(constB70)),
% 9.90/7.46 inference(tautology,[status(thm)],[])).
% 9.90/7.46 tff(38308,plain,
% 9.90/7.46 (v13(constB70)),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38307, 38306, 38276])).
% 9.90/7.46 tff(38309,plain,
% 9.90/7.46 ((~(v13(constB70) <=> v9(constB69))) | (~v13(constB70)) | v9(constB69)),
% 9.90/7.46 inference(tautology,[status(thm)],[])).
% 9.90/7.46 tff(38310,plain,
% 9.90/7.46 (v9(constB69)),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38309, 38308, 38274])).
% 9.90/7.46 tff(38311,plain,
% 9.90/7.46 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB69)) <=> v1(constB69))),
% 9.90/7.46 inference(quant_inst,[status(thm)],[])).
% 9.90/7.46 tff(38312,plain,
% 9.90/7.46 ((~v39(constB69)) <=> v1(constB69)),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38311, 139])).
% 9.90/7.46 tff(38313,plain,
% 9.90/7.46 ((~((~v39(constB69)) <=> v1(constB69))) | v39(constB69) | v1(constB69)),
% 9.90/7.46 inference(tautology,[status(thm)],[])).
% 9.90/7.46 tff(38314,plain,
% 9.90/7.46 ((~((~v39(constB69)) <=> v1(constB69))) | v39(constB69)),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38313, 6587])).
% 9.90/7.46 tff(38315,plain,
% 9.90/7.46 (v39(constB69)),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38314, 38312])).
% 9.90/7.46 tff(38316,plain,
% 9.90/7.46 ((~((~v39(constB69)) | (~v9(constB69)))) | (~v39(constB69)) | (~v9(constB69))),
% 9.90/7.46 inference(tautology,[status(thm)],[])).
% 9.90/7.46 tff(38317,plain,
% 9.90/7.46 ((~((~v39(constB69)) | (~v9(constB69)))) | (~v9(constB69))),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38316, 38315])).
% 9.90/7.46 tff(38318,plain,
% 9.90/7.46 (~((~v39(constB69)) | (~v9(constB69)))),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38317, 38310])).
% 9.90/7.46 tff(38319,plain,
% 9.90/7.46 ((~(v141(constB69) <=> (~((~v39(constB69)) | (~v9(constB69)))))) | v141(constB69) | ((~v39(constB69)) | (~v9(constB69)))),
% 9.90/7.46 inference(tautology,[status(thm)],[])).
% 9.90/7.46 tff(38320,plain,
% 9.90/7.46 (v141(constB69)),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38319, 38318, 38270])).
% 9.90/7.46 tff(38321,plain,
% 9.90/7.46 ((v141(constB69) | v26(constB69)) | (~v141(constB69))),
% 9.90/7.46 inference(tautology,[status(thm)],[])).
% 9.90/7.46 tff(38322,plain,
% 9.90/7.46 (v141(constB69) | v26(constB69)),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38321, 38320])).
% 9.90/7.46 tff(38323,plain,
% 9.90/7.46 ((~(v140(constB69) <=> (v141(constB69) | v26(constB69)))) | v140(constB69) | (~(v141(constB69) | v26(constB69)))),
% 9.90/7.46 inference(tautology,[status(thm)],[])).
% 9.90/7.46 tff(38324,plain,
% 9.90/7.46 (v140(constB69)),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38323, 38322, 38268])).
% 9.90/7.46 tff(38325,plain,
% 9.90/7.46 ((~((~v139(constB69)) <=> v140(constB69))) | (~v139(constB69)) | (~v140(constB69))),
% 9.90/7.46 inference(tautology,[status(thm)],[])).
% 9.90/7.46 tff(38326,plain,
% 9.90/7.46 (~v139(constB69)),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38325, 38324, 38266])).
% 9.90/7.46 tff(38327,plain,
% 9.90/7.46 (((~v128(constB69)) | (~v139(constB69))) | v139(constB69)),
% 9.90/7.46 inference(tautology,[status(thm)],[])).
% 9.90/7.46 tff(38328,plain,
% 9.90/7.46 ((~v128(constB69)) | (~v139(constB69))),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38327, 38326])).
% 9.90/7.46 tff(38329,plain,
% 9.90/7.46 ((~(v163(constB69) <=> (~((~v128(constB69)) | (~v139(constB69)))))) | (~v163(constB69)) | (~((~v128(constB69)) | (~v139(constB69))))),
% 9.90/7.46 inference(tautology,[status(thm)],[])).
% 9.90/7.46 tff(38330,plain,
% 9.90/7.46 (~v163(constB69)),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38329, 38328, 38264])).
% 9.90/7.46 tff(38331,plain,
% 9.90/7.46 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB69) <=> (~((~v130(constB69)) | (~v154(constB69)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB69) <=> (~((~v130(constB69)) | (~v154(constB69))))))),
% 9.90/7.46 inference(rewrite,[status(thm)],[])).
% 9.90/7.46 tff(38332,plain,
% 9.90/7.46 ((v164(constB69) <=> (~((~v154(constB69)) | (~v130(constB69))))) <=> (v164(constB69) <=> (~((~v130(constB69)) | (~v154(constB69)))))),
% 9.90/7.46 inference(rewrite,[status(thm)],[])).
% 9.90/7.46 tff(38333,plain,
% 9.90/7.46 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB69) <=> (~((~v154(constB69)) | (~v130(constB69)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB69) <=> (~((~v130(constB69)) | (~v154(constB69))))))),
% 9.90/7.46 inference(monotonicity,[status(thm)],[38332])).
% 9.90/7.46 tff(38334,plain,
% 9.90/7.46 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB69) <=> (~((~v154(constB69)) | (~v130(constB69)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB69) <=> (~((~v130(constB69)) | (~v154(constB69))))))),
% 9.90/7.46 inference(transitivity,[status(thm)],[38333, 38331])).
% 9.90/7.46 tff(38335,plain,
% 9.90/7.46 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB69) <=> (~((~v154(constB69)) | (~v130(constB69)))))),
% 9.90/7.46 inference(quant_inst,[status(thm)],[])).
% 9.90/7.46 tff(38336,plain,
% 9.90/7.46 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB69) <=> (~((~v130(constB69)) | (~v154(constB69)))))),
% 9.90/7.46 inference(modus_ponens,[status(thm)],[38335, 38334])).
% 9.90/7.46 tff(38337,plain,
% 9.90/7.46 (v164(constB69) <=> (~((~v130(constB69)) | (~v154(constB69))))),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38336, 96])).
% 9.90/7.46 tff(38338,plain,
% 9.90/7.46 ((~![VarNext: $i] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB69) <=> v152(constB69))),
% 9.90/7.46 inference(quant_inst,[status(thm)],[])).
% 9.90/7.46 tff(38339,plain,
% 9.90/7.46 (v130(constB69) <=> v152(constB69)),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38338, 361])).
% 9.90/7.46 tff(38340,plain,
% 9.90/7.46 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB68, constB69)) | (v152(constB69) <=> v150(constB68)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB68, constB69)) | (v152(constB69) <=> v150(constB68)))),
% 9.90/7.46 inference(rewrite,[status(thm)],[])).
% 9.90/7.46 tff(38341,plain,
% 9.90/7.46 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB68, constB69)) | (v152(constB69) <=> v150(constB68)))),
% 9.90/7.46 inference(quant_inst,[status(thm)],[])).
% 9.90/7.46 tff(38342,plain,
% 9.90/7.46 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB68, constB69)) | (v152(constB69) <=> v150(constB68))),
% 9.90/7.46 inference(modus_ponens,[status(thm)],[38341, 38340])).
% 9.90/7.46 tff(38343,plain,
% 9.90/7.46 (v152(constB69) <=> v150(constB68)),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38342, 6624, 373])).
% 9.90/7.46 tff(38344,plain,
% 9.90/7.46 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v153(VarCurr) | v155(VarCurr)))) | (v150(constB68) <=> (v153(constB68) | v155(constB68)))),
% 9.90/7.46 inference(quant_inst,[status(thm)],[])).
% 9.90/7.46 tff(38345,plain,
% 9.90/7.46 (v150(constB68) <=> (v153(constB68) | v155(constB68))),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38344, 387])).
% 9.90/7.46 tff(38346,plain,
% 9.90/7.46 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB68) <=> (~((~v132(constB68)) | (~v154(constB68)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB68) <=> (~((~v132(constB68)) | (~v154(constB68))))))),
% 9.90/7.46 inference(rewrite,[status(thm)],[])).
% 9.90/7.46 tff(38347,plain,
% 9.90/7.46 ((v153(constB68) <=> (~((~v154(constB68)) | (~v132(constB68))))) <=> (v153(constB68) <=> (~((~v132(constB68)) | (~v154(constB68)))))),
% 9.90/7.46 inference(rewrite,[status(thm)],[])).
% 9.90/7.46 tff(38348,plain,
% 9.90/7.46 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB68) <=> (~((~v154(constB68)) | (~v132(constB68)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB68) <=> (~((~v132(constB68)) | (~v154(constB68))))))),
% 9.90/7.46 inference(monotonicity,[status(thm)],[38347])).
% 9.90/7.46 tff(38349,plain,
% 9.90/7.46 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB68) <=> (~((~v154(constB68)) | (~v132(constB68)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB68) <=> (~((~v132(constB68)) | (~v154(constB68))))))),
% 9.90/7.46 inference(transitivity,[status(thm)],[38348, 38346])).
% 9.90/7.46 tff(38350,plain,
% 9.90/7.46 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB68) <=> (~((~v154(constB68)) | (~v132(constB68)))))),
% 9.90/7.46 inference(quant_inst,[status(thm)],[])).
% 9.90/7.46 tff(38351,plain,
% 9.90/7.46 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB68) <=> (~((~v132(constB68)) | (~v154(constB68)))))),
% 9.90/7.46 inference(modus_ponens,[status(thm)],[38350, 38349])).
% 9.90/7.46 tff(38352,plain,
% 9.90/7.46 (v153(constB68) <=> (~((~v132(constB68)) | (~v154(constB68))))),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38351, 399])).
% 9.90/7.46 tff(38353,plain,
% 9.90/7.46 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB68) <=> (~((~v141(constB68)) | (~v143(constB68)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB68) <=> (~((~v141(constB68)) | (~v143(constB68))))))),
% 9.90/7.46 inference(rewrite,[status(thm)],[])).
% 9.90/7.46 tff(38354,plain,
% 9.90/7.46 ((v154(constB68) <=> (~((~v143(constB68)) | (~v141(constB68))))) <=> (v154(constB68) <=> (~((~v141(constB68)) | (~v143(constB68)))))),
% 9.90/7.46 inference(rewrite,[status(thm)],[])).
% 9.90/7.46 tff(38355,plain,
% 9.90/7.46 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB68) <=> (~((~v143(constB68)) | (~v141(constB68)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB68) <=> (~((~v141(constB68)) | (~v143(constB68))))))),
% 9.90/7.46 inference(monotonicity,[status(thm)],[38354])).
% 9.90/7.46 tff(38356,plain,
% 9.90/7.46 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB68) <=> (~((~v143(constB68)) | (~v141(constB68)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB68) <=> (~((~v141(constB68)) | (~v143(constB68))))))),
% 9.90/7.46 inference(transitivity,[status(thm)],[38355, 38353])).
% 9.90/7.46 tff(38357,plain,
% 9.90/7.46 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB68) <=> (~((~v143(constB68)) | (~v141(constB68)))))),
% 9.90/7.46 inference(quant_inst,[status(thm)],[])).
% 9.90/7.46 tff(38358,plain,
% 9.90/7.46 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB68) <=> (~((~v141(constB68)) | (~v143(constB68)))))),
% 9.90/7.46 inference(modus_ponens,[status(thm)],[38357, 38356])).
% 9.90/7.46 tff(38359,plain,
% 9.90/7.46 (v154(constB68) <=> (~((~v141(constB68)) | (~v143(constB68))))),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38358, 113])).
% 9.90/7.46 tff(38360,plain,
% 9.90/7.46 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB68) <=> (~((~v39(constB68)) | (~v9(constB68)))))),
% 9.90/7.46 inference(quant_inst,[status(thm)],[])).
% 9.90/7.46 tff(38361,plain,
% 9.90/7.46 (v141(constB68) <=> (~((~v39(constB68)) | (~v9(constB68))))),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38360, 130])).
% 9.90/7.46 tff(38362,plain,
% 9.90/7.46 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB68)) <=> v1(constB68))),
% 9.90/7.46 inference(quant_inst,[status(thm)],[])).
% 9.90/7.46 tff(38363,plain,
% 9.90/7.46 ((~v39(constB68)) <=> v1(constB68)),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38362, 139])).
% 9.90/7.46 tff(38364,plain,
% 9.90/7.46 ((~((~v39(constB68)) <=> v1(constB68))) | (~v39(constB68)) | (~v1(constB68))),
% 9.90/7.46 inference(tautology,[status(thm)],[])).
% 9.90/7.46 tff(38365,plain,
% 9.90/7.46 ((~((~v39(constB68)) <=> v1(constB68))) | (~v39(constB68))),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38364, 6686])).
% 9.90/7.46 tff(38366,plain,
% 9.90/7.46 (~v39(constB68)),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38365, 38363])).
% 9.90/7.46 tff(38367,plain,
% 9.90/7.46 (((~v39(constB68)) | (~v9(constB68))) | v39(constB68)),
% 9.90/7.46 inference(tautology,[status(thm)],[])).
% 9.90/7.46 tff(38368,plain,
% 9.90/7.46 ((~v39(constB68)) | (~v9(constB68))),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38367, 38366])).
% 9.90/7.46 tff(38369,plain,
% 9.90/7.46 ((~(v141(constB68) <=> (~((~v39(constB68)) | (~v9(constB68)))))) | (~v141(constB68)) | (~((~v39(constB68)) | (~v9(constB68))))),
% 9.90/7.46 inference(tautology,[status(thm)],[])).
% 9.90/7.46 tff(38370,plain,
% 9.90/7.46 ((~(v141(constB68) <=> (~((~v39(constB68)) | (~v9(constB68)))))) | (~v141(constB68))),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38369, 38368])).
% 9.90/7.46 tff(38371,plain,
% 9.90/7.46 (~v141(constB68)),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38370, 38361])).
% 9.90/7.46 tff(38372,plain,
% 9.90/7.46 (((~v141(constB68)) | (~v143(constB68))) | v141(constB68)),
% 9.90/7.46 inference(tautology,[status(thm)],[])).
% 9.90/7.46 tff(38373,plain,
% 9.90/7.46 ((~v141(constB68)) | (~v143(constB68))),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38372, 38371])).
% 9.90/7.46 tff(38374,plain,
% 9.90/7.46 ((~(v154(constB68) <=> (~((~v141(constB68)) | (~v143(constB68)))))) | (~v154(constB68)) | (~((~v141(constB68)) | (~v143(constB68))))),
% 9.90/7.46 inference(tautology,[status(thm)],[])).
% 9.90/7.46 tff(38375,plain,
% 9.90/7.46 ((~(v154(constB68) <=> (~((~v141(constB68)) | (~v143(constB68)))))) | (~v154(constB68))),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38374, 38373])).
% 9.90/7.46 tff(38376,plain,
% 9.90/7.46 (~v154(constB68)),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38375, 38359])).
% 9.90/7.46 tff(38377,plain,
% 9.90/7.46 (((~v132(constB68)) | (~v154(constB68))) | v154(constB68)),
% 9.90/7.46 inference(tautology,[status(thm)],[])).
% 9.90/7.46 tff(38378,plain,
% 9.90/7.46 ((~v132(constB68)) | (~v154(constB68))),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38377, 38376])).
% 9.90/7.46 tff(38379,plain,
% 9.90/7.46 ((~(v153(constB68) <=> (~((~v132(constB68)) | (~v154(constB68)))))) | (~v153(constB68)) | (~((~v132(constB68)) | (~v154(constB68))))),
% 9.90/7.46 inference(tautology,[status(thm)],[])).
% 9.90/7.46 tff(38380,plain,
% 9.90/7.46 (~v153(constB68)),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38379, 38378, 38352])).
% 9.90/7.46 tff(38381,plain,
% 9.90/7.46 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB68) <=> (~((~v130(constB68)) | (~v139(constB68)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB68) <=> (~((~v130(constB68)) | (~v139(constB68))))))),
% 9.90/7.46 inference(rewrite,[status(thm)],[])).
% 9.90/7.46 tff(38382,plain,
% 9.90/7.46 ((v155(constB68) <=> (~((~v139(constB68)) | (~v130(constB68))))) <=> (v155(constB68) <=> (~((~v130(constB68)) | (~v139(constB68)))))),
% 9.90/7.46 inference(rewrite,[status(thm)],[])).
% 9.90/7.46 tff(38383,plain,
% 9.90/7.46 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB68) <=> (~((~v139(constB68)) | (~v130(constB68)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB68) <=> (~((~v130(constB68)) | (~v139(constB68))))))),
% 9.90/7.46 inference(monotonicity,[status(thm)],[38382])).
% 9.90/7.46 tff(38384,plain,
% 9.90/7.46 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB68) <=> (~((~v139(constB68)) | (~v130(constB68)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB68) <=> (~((~v130(constB68)) | (~v139(constB68))))))),
% 9.90/7.46 inference(transitivity,[status(thm)],[38383, 38381])).
% 9.90/7.46 tff(38385,plain,
% 9.90/7.46 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB68) <=> (~((~v139(constB68)) | (~v130(constB68)))))),
% 9.90/7.46 inference(quant_inst,[status(thm)],[])).
% 9.90/7.46 tff(38386,plain,
% 9.90/7.46 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB68) <=> (~((~v130(constB68)) | (~v139(constB68)))))),
% 9.90/7.46 inference(modus_ponens,[status(thm)],[38385, 38384])).
% 9.90/7.46 tff(38387,plain,
% 9.90/7.46 (v155(constB68) <=> (~((~v130(constB68)) | (~v139(constB68))))),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38386, 447])).
% 9.90/7.46 tff(38388,plain,
% 9.90/7.46 ((~![VarNext: $i] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB68) <=> v152(constB68))),
% 9.90/7.46 inference(quant_inst,[status(thm)],[])).
% 9.90/7.46 tff(38389,plain,
% 9.90/7.46 (v130(constB68) <=> v152(constB68)),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38388, 361])).
% 9.90/7.46 tff(38390,plain,
% 9.90/7.46 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB67, constB68)) | (v152(constB68) <=> v150(constB67)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB67, constB68)) | (v152(constB68) <=> v150(constB67)))),
% 9.90/7.46 inference(rewrite,[status(thm)],[])).
% 9.90/7.46 tff(38391,plain,
% 9.90/7.46 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB67, constB68)) | (v152(constB68) <=> v150(constB67)))),
% 9.90/7.46 inference(quant_inst,[status(thm)],[])).
% 9.90/7.46 tff(38392,plain,
% 9.90/7.46 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB67, constB68)) | (v152(constB68) <=> v150(constB67))),
% 9.90/7.46 inference(modus_ponens,[status(thm)],[38391, 38390])).
% 9.90/7.46 tff(38393,plain,
% 9.90/7.46 (v152(constB68) <=> v150(constB67)),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38392, 6656, 373])).
% 9.90/7.46 tff(38394,plain,
% 9.90/7.46 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v153(VarCurr) | v155(VarCurr)))) | (v150(constB67) <=> (v153(constB67) | v155(constB67)))),
% 9.90/7.46 inference(quant_inst,[status(thm)],[])).
% 9.90/7.46 tff(38395,plain,
% 9.90/7.46 (v150(constB67) <=> (v153(constB67) | v155(constB67))),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38394, 387])).
% 9.90/7.46 tff(38396,plain,
% 9.90/7.46 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB67) <=> (~((~v130(constB67)) | (~v139(constB67)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB67) <=> (~((~v130(constB67)) | (~v139(constB67))))))),
% 9.90/7.46 inference(rewrite,[status(thm)],[])).
% 9.90/7.46 tff(38397,plain,
% 9.90/7.46 ((v155(constB67) <=> (~((~v139(constB67)) | (~v130(constB67))))) <=> (v155(constB67) <=> (~((~v130(constB67)) | (~v139(constB67)))))),
% 9.90/7.46 inference(rewrite,[status(thm)],[])).
% 9.90/7.46 tff(38398,plain,
% 9.90/7.46 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB67) <=> (~((~v139(constB67)) | (~v130(constB67)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB67) <=> (~((~v130(constB67)) | (~v139(constB67))))))),
% 9.90/7.46 inference(monotonicity,[status(thm)],[38397])).
% 9.90/7.46 tff(38399,plain,
% 9.90/7.46 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB67) <=> (~((~v139(constB67)) | (~v130(constB67)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB67) <=> (~((~v130(constB67)) | (~v139(constB67))))))),
% 9.90/7.46 inference(transitivity,[status(thm)],[38398, 38396])).
% 9.90/7.46 tff(38400,plain,
% 9.90/7.46 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB67) <=> (~((~v139(constB67)) | (~v130(constB67)))))),
% 9.90/7.46 inference(quant_inst,[status(thm)],[])).
% 9.90/7.46 tff(38401,plain,
% 9.90/7.46 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB67) <=> (~((~v130(constB67)) | (~v139(constB67)))))),
% 9.90/7.46 inference(modus_ponens,[status(thm)],[38400, 38399])).
% 9.90/7.46 tff(38402,plain,
% 9.90/7.46 (v155(constB67) <=> (~((~v130(constB67)) | (~v139(constB67))))),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38401, 447])).
% 9.90/7.46 tff(38403,plain,
% 9.90/7.46 ((~![VarCurr: $i] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB67)) <=> v140(constB67))),
% 9.90/7.46 inference(quant_inst,[status(thm)],[])).
% 9.90/7.46 tff(38404,plain,
% 9.90/7.46 ((~v139(constB67)) <=> v140(constB67)),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38403, 203])).
% 9.90/7.46 tff(38405,plain,
% 9.90/7.46 ((~![VarCurr: $i] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB67) <=> (v141(constB67) | v26(constB67)))),
% 9.90/7.46 inference(quant_inst,[status(thm)],[])).
% 9.90/7.46 tff(38406,plain,
% 9.90/7.46 (v140(constB67) <=> (v141(constB67) | v26(constB67))),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38405, 212])).
% 9.90/7.46 tff(38407,plain,
% 9.90/7.46 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB67) <=> (~((~v39(constB67)) | (~v9(constB67)))))),
% 9.90/7.46 inference(quant_inst,[status(thm)],[])).
% 9.90/7.46 tff(38408,plain,
% 9.90/7.46 (v141(constB67) <=> (~((~v39(constB67)) | (~v9(constB67))))),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38407, 130])).
% 9.90/7.46 tff(38409,plain,
% 9.90/7.46 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB67, constB68)) | (v13(constB68) <=> v9(constB67)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB67, constB68)) | (v13(constB68) <=> v9(constB67)))),
% 9.90/7.46 inference(rewrite,[status(thm)],[])).
% 9.90/7.46 tff(38410,plain,
% 9.90/7.46 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB67, constB68)) | (v13(constB68) <=> v9(constB67)))),
% 9.90/7.46 inference(quant_inst,[status(thm)],[])).
% 9.90/7.46 tff(38411,plain,
% 9.90/7.46 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB67, constB68)) | (v13(constB68) <=> v9(constB67))),
% 9.90/7.46 inference(modus_ponens,[status(thm)],[38410, 38409])).
% 9.90/7.46 tff(38412,plain,
% 9.90/7.46 (v13(constB68) <=> v9(constB67)),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38411, 6656, 226])).
% 9.90/7.46 tff(38413,plain,
% 9.90/7.46 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB68) <=> v13(constB68))),
% 9.90/7.46 inference(quant_inst,[status(thm)],[])).
% 9.90/7.46 tff(38414,plain,
% 9.90/7.46 (v6(constB68) <=> v13(constB68)),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38413, 240])).
% 9.90/7.46 tff(38415,plain,
% 9.90/7.46 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB68)) <=> v6(constB68))),
% 9.90/7.46 inference(quant_inst,[status(thm)],[])).
% 9.90/7.46 tff(38416,plain,
% 9.90/7.46 ((~v21(constB68)) <=> v6(constB68)),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38415, 249])).
% 9.90/7.46 tff(38417,plain,
% 9.90/7.46 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB68) <=> (v20(constB68) | v21(constB68)))),
% 9.90/7.46 inference(quant_inst,[status(thm)],[])).
% 9.90/7.46 tff(38418,plain,
% 9.90/7.46 (v19(constB68) <=> (v20(constB68) | v21(constB68))),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38417, 258])).
% 9.90/7.46 tff(38419,plain,
% 9.90/7.46 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB68) <=> (~((~v19(constB68)) | (~v22(constB68)))))),
% 9.90/7.46 inference(quant_inst,[status(thm)],[])).
% 9.90/7.46 tff(38420,plain,
% 9.90/7.46 (v18(constB68) <=> (~((~v19(constB68)) | (~v22(constB68))))),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38419, 270])).
% 9.90/7.46 tff(38421,plain,
% 9.90/7.46 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB68)) <=> v18(constB68))),
% 9.90/7.46 inference(quant_inst,[status(thm)],[])).
% 9.90/7.46 tff(38422,plain,
% 9.90/7.46 ((~v4(constB68)) <=> v18(constB68)),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38421, 279])).
% 9.90/7.46 tff(38423,plain,
% 9.90/7.46 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB68)),
% 9.90/7.46 inference(quant_inst,[status(thm)],[])).
% 9.90/7.46 tff(38424,plain,
% 9.90/7.46 (v4(constB68)),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38423, 288])).
% 9.90/7.46 tff(38425,plain,
% 9.90/7.46 ((~((~v4(constB68)) <=> v18(constB68))) | (~v4(constB68)) | (~v18(constB68))),
% 9.90/7.46 inference(tautology,[status(thm)],[])).
% 9.90/7.46 tff(38426,plain,
% 9.90/7.46 (~v18(constB68)),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38425, 38424, 38422])).
% 9.90/7.46 tff(38427,plain,
% 9.90/7.46 ((~(v18(constB68) <=> (~((~v19(constB68)) | (~v22(constB68)))))) | v18(constB68) | ((~v19(constB68)) | (~v22(constB68)))),
% 9.90/7.46 inference(tautology,[status(thm)],[])).
% 9.90/7.46 tff(38428,plain,
% 9.90/7.46 ((~v19(constB68)) | (~v22(constB68))),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38427, 38426, 38420])).
% 9.90/7.46 tff(38429,plain,
% 9.90/7.46 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB68) <=> (v1(constB68) | v6(constB68)))),
% 9.90/7.46 inference(quant_inst,[status(thm)],[])).
% 9.90/7.46 tff(38430,plain,
% 9.90/7.46 (v22(constB68) <=> (v1(constB68) | v6(constB68))),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38429, 301])).
% 9.90/7.46 tff(38431,plain,
% 9.90/7.46 ((v1(constB68) | v6(constB68)) | (~v1(constB68))),
% 9.90/7.46 inference(tautology,[status(thm)],[])).
% 9.90/7.46 tff(38432,plain,
% 9.90/7.46 (v1(constB68) | v6(constB68)),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38431, 6686])).
% 9.90/7.46 tff(38433,plain,
% 9.90/7.46 ((~(v22(constB68) <=> (v1(constB68) | v6(constB68)))) | v22(constB68) | (~(v1(constB68) | v6(constB68)))),
% 9.90/7.46 inference(tautology,[status(thm)],[])).
% 9.90/7.46 tff(38434,plain,
% 9.90/7.46 ((~(v22(constB68) <=> (v1(constB68) | v6(constB68)))) | v22(constB68)),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38433, 38432])).
% 9.90/7.46 tff(38435,plain,
% 9.90/7.46 (v22(constB68)),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38434, 38430])).
% 9.90/7.46 tff(38436,plain,
% 9.90/7.46 ((~((~v19(constB68)) | (~v22(constB68)))) | (~v19(constB68)) | (~v22(constB68))),
% 9.90/7.46 inference(tautology,[status(thm)],[])).
% 9.90/7.46 tff(38437,plain,
% 9.90/7.46 ((~((~v19(constB68)) | (~v22(constB68)))) | (~v19(constB68))),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38436, 38435])).
% 9.90/7.46 tff(38438,plain,
% 9.90/7.46 (~v19(constB68)),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38437, 38428])).
% 9.90/7.46 tff(38439,plain,
% 9.90/7.46 ((~(v19(constB68) <=> (v20(constB68) | v21(constB68)))) | v19(constB68) | (~(v20(constB68) | v21(constB68)))),
% 9.90/7.46 inference(tautology,[status(thm)],[])).
% 9.90/7.46 tff(38440,plain,
% 9.90/7.46 (~(v20(constB68) | v21(constB68))),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38439, 38438, 38418])).
% 9.90/7.46 tff(38441,plain,
% 9.90/7.46 ((v20(constB68) | v21(constB68)) | (~v21(constB68))),
% 9.90/7.46 inference(tautology,[status(thm)],[])).
% 9.90/7.46 tff(38442,plain,
% 9.90/7.46 (~v21(constB68)),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38441, 38440])).
% 9.90/7.46 tff(38443,plain,
% 9.90/7.46 ((~((~v21(constB68)) <=> v6(constB68))) | v21(constB68) | v6(constB68)),
% 9.90/7.46 inference(tautology,[status(thm)],[])).
% 9.90/7.46 tff(38444,plain,
% 9.90/7.46 (v6(constB68)),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38443, 38442, 38416])).
% 9.90/7.46 tff(38445,plain,
% 9.90/7.46 ((~(v6(constB68) <=> v13(constB68))) | (~v6(constB68)) | v13(constB68)),
% 9.90/7.46 inference(tautology,[status(thm)],[])).
% 9.90/7.46 tff(38446,plain,
% 9.90/7.46 (v13(constB68)),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38445, 38444, 38414])).
% 9.90/7.46 tff(38447,plain,
% 9.90/7.46 ((~(v13(constB68) <=> v9(constB67))) | (~v13(constB68)) | v9(constB67)),
% 9.90/7.46 inference(tautology,[status(thm)],[])).
% 9.90/7.46 tff(38448,plain,
% 9.90/7.46 (v9(constB67)),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38447, 38446, 38412])).
% 9.90/7.46 tff(38449,plain,
% 9.90/7.46 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB67)) <=> v1(constB67))),
% 9.90/7.46 inference(quant_inst,[status(thm)],[])).
% 9.90/7.46 tff(38450,plain,
% 9.90/7.46 ((~v39(constB67)) <=> v1(constB67)),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38449, 139])).
% 9.90/7.46 tff(38451,plain,
% 9.90/7.46 ((~((~v39(constB67)) <=> v1(constB67))) | v39(constB67) | v1(constB67)),
% 9.90/7.46 inference(tautology,[status(thm)],[])).
% 9.90/7.46 tff(38452,plain,
% 9.90/7.46 ((~((~v39(constB67)) <=> v1(constB67))) | v39(constB67)),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38451, 6678])).
% 9.90/7.46 tff(38453,plain,
% 9.90/7.46 (v39(constB67)),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38452, 38450])).
% 9.90/7.46 tff(38454,plain,
% 9.90/7.46 ((~((~v39(constB67)) | (~v9(constB67)))) | (~v39(constB67)) | (~v9(constB67))),
% 9.90/7.46 inference(tautology,[status(thm)],[])).
% 9.90/7.46 tff(38455,plain,
% 9.90/7.46 ((~((~v39(constB67)) | (~v9(constB67)))) | (~v9(constB67))),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38454, 38453])).
% 9.90/7.46 tff(38456,plain,
% 9.90/7.46 (~((~v39(constB67)) | (~v9(constB67)))),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38455, 38448])).
% 9.90/7.46 tff(38457,plain,
% 9.90/7.46 ((~(v141(constB67) <=> (~((~v39(constB67)) | (~v9(constB67)))))) | v141(constB67) | ((~v39(constB67)) | (~v9(constB67)))),
% 9.90/7.46 inference(tautology,[status(thm)],[])).
% 9.90/7.46 tff(38458,plain,
% 9.90/7.46 (v141(constB67)),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38457, 38456, 38408])).
% 9.90/7.46 tff(38459,plain,
% 9.90/7.46 ((v141(constB67) | v26(constB67)) | (~v141(constB67))),
% 9.90/7.46 inference(tautology,[status(thm)],[])).
% 9.90/7.46 tff(38460,plain,
% 9.90/7.46 (v141(constB67) | v26(constB67)),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38459, 38458])).
% 9.90/7.46 tff(38461,plain,
% 9.90/7.46 ((~(v140(constB67) <=> (v141(constB67) | v26(constB67)))) | v140(constB67) | (~(v141(constB67) | v26(constB67)))),
% 9.90/7.46 inference(tautology,[status(thm)],[])).
% 9.90/7.46 tff(38462,plain,
% 9.90/7.46 (v140(constB67)),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38461, 38460, 38406])).
% 9.90/7.46 tff(38463,plain,
% 9.90/7.46 ((~((~v139(constB67)) <=> v140(constB67))) | (~v139(constB67)) | (~v140(constB67))),
% 9.90/7.46 inference(tautology,[status(thm)],[])).
% 9.90/7.46 tff(38464,plain,
% 9.90/7.46 (~v139(constB67)),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38463, 38462, 38404])).
% 9.90/7.46 tff(38465,plain,
% 9.90/7.46 (((~v130(constB67)) | (~v139(constB67))) | v139(constB67)),
% 9.90/7.46 inference(tautology,[status(thm)],[])).
% 9.90/7.46 tff(38466,plain,
% 9.90/7.46 ((~v130(constB67)) | (~v139(constB67))),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38465, 38464])).
% 9.90/7.46 tff(38467,plain,
% 9.90/7.46 ((~(v155(constB67) <=> (~((~v130(constB67)) | (~v139(constB67)))))) | (~v155(constB67)) | (~((~v130(constB67)) | (~v139(constB67))))),
% 9.90/7.46 inference(tautology,[status(thm)],[])).
% 9.90/7.46 tff(38468,plain,
% 9.90/7.46 (~v155(constB67)),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38467, 38466, 38402])).
% 9.90/7.46 tff(38469,plain,
% 9.90/7.46 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB67) <=> (~((~v132(constB67)) | (~v154(constB67)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB67) <=> (~((~v132(constB67)) | (~v154(constB67))))))),
% 9.90/7.46 inference(rewrite,[status(thm)],[])).
% 9.90/7.46 tff(38470,plain,
% 9.90/7.46 ((v153(constB67) <=> (~((~v154(constB67)) | (~v132(constB67))))) <=> (v153(constB67) <=> (~((~v132(constB67)) | (~v154(constB67)))))),
% 9.90/7.46 inference(rewrite,[status(thm)],[])).
% 9.90/7.46 tff(38471,plain,
% 9.90/7.46 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB67) <=> (~((~v154(constB67)) | (~v132(constB67)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB67) <=> (~((~v132(constB67)) | (~v154(constB67))))))),
% 9.90/7.46 inference(monotonicity,[status(thm)],[38470])).
% 9.90/7.46 tff(38472,plain,
% 9.90/7.46 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB67) <=> (~((~v154(constB67)) | (~v132(constB67)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB67) <=> (~((~v132(constB67)) | (~v154(constB67))))))),
% 9.90/7.46 inference(transitivity,[status(thm)],[38471, 38469])).
% 9.90/7.46 tff(38473,plain,
% 9.90/7.46 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB67) <=> (~((~v154(constB67)) | (~v132(constB67)))))),
% 9.90/7.46 inference(quant_inst,[status(thm)],[])).
% 9.90/7.46 tff(38474,plain,
% 9.90/7.46 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB67) <=> (~((~v132(constB67)) | (~v154(constB67)))))),
% 9.90/7.46 inference(modus_ponens,[status(thm)],[38473, 38472])).
% 9.90/7.46 tff(38475,plain,
% 9.90/7.46 (v153(constB67) <=> (~((~v132(constB67)) | (~v154(constB67))))),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38474, 399])).
% 9.90/7.46 tff(38476,plain,
% 9.90/7.46 ((~![VarNext: $i] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB67) <=> v137(constB67))),
% 9.90/7.46 inference(quant_inst,[status(thm)],[])).
% 9.90/7.46 tff(38477,plain,
% 9.90/7.46 (v132(constB67) <=> v137(constB67)),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38476, 558])).
% 9.90/7.46 tff(38478,plain,
% 9.90/7.46 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB66, constB67)) | (v137(constB67) <=> v135(constB66)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB66, constB67)) | (v137(constB67) <=> v135(constB66)))),
% 9.90/7.46 inference(rewrite,[status(thm)],[])).
% 9.90/7.46 tff(38479,plain,
% 9.90/7.46 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB66, constB67)) | (v137(constB67) <=> v135(constB66)))),
% 9.90/7.46 inference(quant_inst,[status(thm)],[])).
% 9.90/7.46 tff(38480,plain,
% 9.90/7.46 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB66, constB67)) | (v137(constB67) <=> v135(constB66))),
% 9.90/7.46 inference(modus_ponens,[status(thm)],[38479, 38478])).
% 9.90/7.46 tff(38481,plain,
% 9.90/7.46 (v137(constB67) <=> v135(constB66)),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38480, 6712, 570])).
% 9.90/7.46 tff(38482,plain,
% 9.90/7.46 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB66) <=> (v138(constB66) | v142(constB66)))),
% 9.90/7.46 inference(quant_inst,[status(thm)],[])).
% 9.90/7.46 tff(38483,plain,
% 9.90/7.46 (v135(constB66) <=> (v138(constB66) | v142(constB66))),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38482, 584])).
% 9.90/7.46 tff(38484,plain,
% 9.90/7.46 ((~![VarCurr: $i] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB66) <=> (~((~v143(constB66)) | (~v144(constB66)))))),
% 9.90/7.46 inference(quant_inst,[status(thm)],[])).
% 9.90/7.46 tff(38485,plain,
% 9.90/7.46 (v142(constB66) <=> (~((~v143(constB66)) | (~v144(constB66))))),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38484, 596])).
% 9.90/7.46 tff(38486,plain,
% 9.90/7.46 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB66) <=> (~((~v141(constB66)) | (~v145(constB66)))))),
% 9.90/7.46 inference(quant_inst,[status(thm)],[])).
% 9.90/7.46 tff(38487,plain,
% 9.90/7.46 (v144(constB66) <=> (~((~v141(constB66)) | (~v145(constB66))))),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38486, 608])).
% 9.90/7.46 tff(38488,plain,
% 9.90/7.46 (((~v141(constB66)) | (~v145(constB66))) | v141(constB66)),
% 9.90/7.46 inference(tautology,[status(thm)],[])).
% 9.90/7.46 tff(38489,plain,
% 9.90/7.46 ((~v141(constB66)) | (~v145(constB66))),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38488, 37403])).
% 9.90/7.46 tff(38490,plain,
% 9.90/7.46 ((~(v144(constB66) <=> (~((~v141(constB66)) | (~v145(constB66)))))) | (~v144(constB66)) | (~((~v141(constB66)) | (~v145(constB66))))),
% 9.90/7.46 inference(tautology,[status(thm)],[])).
% 9.90/7.46 tff(38491,plain,
% 9.90/7.46 ((~(v144(constB66) <=> (~((~v141(constB66)) | (~v145(constB66)))))) | (~v144(constB66))),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38490, 38489])).
% 9.90/7.46 tff(38492,plain,
% 9.90/7.46 (~v144(constB66)),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38491, 38487])).
% 9.90/7.46 tff(38493,plain,
% 9.90/7.46 (((~v143(constB66)) | (~v144(constB66))) | v144(constB66)),
% 9.90/7.46 inference(tautology,[status(thm)],[])).
% 9.90/7.46 tff(38494,plain,
% 9.90/7.46 ((~v143(constB66)) | (~v144(constB66))),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38493, 38492])).
% 9.90/7.46 tff(38495,plain,
% 9.90/7.46 ((~(v142(constB66) <=> (~((~v143(constB66)) | (~v144(constB66)))))) | (~v142(constB66)) | (~((~v143(constB66)) | (~v144(constB66))))),
% 9.90/7.46 inference(tautology,[status(thm)],[])).
% 9.90/7.46 tff(38496,plain,
% 9.90/7.46 (~v142(constB66)),
% 9.90/7.46 inference(unit_resolution,[status(thm)],[38495, 38494, 38485])).
% 9.90/7.46 tff(38497,plain,
% 9.90/7.46 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB66) <=> (~((~v132(constB66)) | (~v139(constB66)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB66) <=> (~((~v132(constB66)) | (~v139(constB66))))))),
% 9.90/7.46 inference(rewrite,[status(thm)],[])).
% 9.90/7.46 tff(38498,plain,
% 9.90/7.46 ((v138(constB66) <=> (~((~v139(constB66)) | (~v132(constB66))))) <=> (v138(constB66) <=> (~((~v132(constB66)) | (~v139(constB66)))))),
% 9.90/7.46 inference(rewrite,[status(thm)],[])).
% 9.90/7.46 tff(38499,plain,
% 9.90/7.46 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB66) <=> (~((~v139(constB66)) | (~v132(constB66)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB66) <=> (~((~v132(constB66)) | (~v139(constB66))))))),
% 9.90/7.47 inference(monotonicity,[status(thm)],[38498])).
% 9.90/7.47 tff(38500,plain,
% 9.90/7.47 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB66) <=> (~((~v139(constB66)) | (~v132(constB66)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB66) <=> (~((~v132(constB66)) | (~v139(constB66))))))),
% 9.90/7.47 inference(transitivity,[status(thm)],[38499, 38497])).
% 9.90/7.47 tff(38501,plain,
% 9.90/7.47 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB66) <=> (~((~v139(constB66)) | (~v132(constB66)))))),
% 9.90/7.47 inference(quant_inst,[status(thm)],[])).
% 9.90/7.47 tff(38502,plain,
% 9.90/7.47 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB66) <=> (~((~v132(constB66)) | (~v139(constB66)))))),
% 9.90/7.47 inference(modus_ponens,[status(thm)],[38501, 38500])).
% 9.90/7.47 tff(38503,plain,
% 9.90/7.47 (v138(constB66) <=> (~((~v132(constB66)) | (~v139(constB66))))),
% 9.90/7.47 inference(unit_resolution,[status(thm)],[38502, 644])).
% 9.90/7.47 tff(38504,plain,
% 9.90/7.47 ((~![VarNext: $i] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB66) <=> v137(constB66))),
% 9.90/7.47 inference(quant_inst,[status(thm)],[])).
% 9.90/7.47 tff(38505,plain,
% 9.90/7.47 (v132(constB66) <=> v137(constB66)),
% 9.90/7.47 inference(unit_resolution,[status(thm)],[38504, 558])).
% 9.90/7.47 tff(38506,plain,
% 9.90/7.47 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB65, constB66)) | (v137(constB66) <=> v135(constB65)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB65, constB66)) | (v137(constB66) <=> v135(constB65)))),
% 9.90/7.47 inference(rewrite,[status(thm)],[])).
% 9.90/7.47 tff(38507,plain,
% 9.90/7.47 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB65, constB66)) | (v137(constB66) <=> v135(constB65)))),
% 9.90/7.47 inference(quant_inst,[status(thm)],[])).
% 9.90/7.47 tff(38508,plain,
% 9.90/7.47 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB65, constB66)) | (v137(constB66) <=> v135(constB65))),
% 9.90/7.47 inference(modus_ponens,[status(thm)],[38507, 38506])).
% 9.90/7.47 tff(38509,plain,
% 9.90/7.47 (v137(constB66) <=> v135(constB65)),
% 9.90/7.47 inference(unit_resolution,[status(thm)],[38508, 6744, 570])).
% 9.90/7.47 tff(38510,plain,
% 9.90/7.47 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB65) <=> (v138(constB65) | v142(constB65)))),
% 9.90/7.47 inference(quant_inst,[status(thm)],[])).
% 9.90/7.47 tff(38511,plain,
% 9.90/7.47 (v135(constB65) <=> (v138(constB65) | v142(constB65))),
% 9.90/7.47 inference(unit_resolution,[status(thm)],[38510, 584])).
% 9.90/7.47 tff(38512,plain,
% 9.90/7.47 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB65) <=> (~((~v132(constB65)) | (~v139(constB65)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB65) <=> (~((~v132(constB65)) | (~v139(constB65))))))),
% 9.90/7.47 inference(rewrite,[status(thm)],[])).
% 9.90/7.47 tff(38513,plain,
% 9.90/7.47 ((v138(constB65) <=> (~((~v139(constB65)) | (~v132(constB65))))) <=> (v138(constB65) <=> (~((~v132(constB65)) | (~v139(constB65)))))),
% 9.90/7.47 inference(rewrite,[status(thm)],[])).
% 9.90/7.47 tff(38514,plain,
% 9.90/7.47 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB65) <=> (~((~v139(constB65)) | (~v132(constB65)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB65) <=> (~((~v132(constB65)) | (~v139(constB65))))))),
% 9.90/7.47 inference(monotonicity,[status(thm)],[38513])).
% 9.90/7.47 tff(38515,plain,
% 9.90/7.47 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB65) <=> (~((~v139(constB65)) | (~v132(constB65)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB65) <=> (~((~v132(constB65)) | (~v139(constB65))))))),
% 9.90/7.47 inference(transitivity,[status(thm)],[38514, 38512])).
% 9.90/7.47 tff(38516,plain,
% 9.90/7.47 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB65) <=> (~((~v139(constB65)) | (~v132(constB65)))))),
% 9.90/7.47 inference(quant_inst,[status(thm)],[])).
% 9.90/7.47 tff(38517,plain,
% 9.90/7.47 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB65) <=> (~((~v132(constB65)) | (~v139(constB65)))))),
% 9.90/7.47 inference(modus_ponens,[status(thm)],[38516, 38515])).
% 9.90/7.47 tff(38518,plain,
% 9.90/7.47 (v138(constB65) <=> (~((~v132(constB65)) | (~v139(constB65))))),
% 9.90/7.47 inference(unit_resolution,[status(thm)],[38517, 644])).
% 9.90/7.47 tff(38519,plain,
% 9.90/7.47 (((~v132(constB65)) | (~v139(constB65))) | v139(constB65)),
% 9.90/7.47 inference(tautology,[status(thm)],[])).
% 9.90/7.47 tff(38520,plain,
% 9.90/7.47 ((~v132(constB65)) | (~v139(constB65))),
% 9.90/7.47 inference(unit_resolution,[status(thm)],[38519, 37496])).
% 9.90/7.47 tff(38521,plain,
% 9.90/7.47 ((~(v138(constB65) <=> (~((~v132(constB65)) | (~v139(constB65)))))) | (~v138(constB65)) | (~((~v132(constB65)) | (~v139(constB65))))),
% 9.90/7.47 inference(tautology,[status(thm)],[])).
% 9.90/7.47 tff(38522,plain,
% 9.90/7.47 (~v138(constB65)),
% 9.90/7.47 inference(unit_resolution,[status(thm)],[38521, 38520, 38518])).
% 9.90/7.47 tff(38523,plain,
% 9.90/7.47 ((~![VarCurr: $i] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB65) <=> (~((~v143(constB65)) | (~v144(constB65)))))),
% 9.90/7.47 inference(quant_inst,[status(thm)],[])).
% 9.90/7.47 tff(38524,plain,
% 9.90/7.47 (v142(constB65) <=> (~((~v143(constB65)) | (~v144(constB65))))),
% 9.90/7.47 inference(unit_resolution,[status(thm)],[38523, 596])).
% 9.90/7.47 tff(38525,plain,
% 9.90/7.47 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB65) <=> (~((~v141(constB65)) | (~v145(constB65)))))),
% 9.90/7.47 inference(quant_inst,[status(thm)],[])).
% 9.90/7.47 tff(38526,plain,
% 9.90/7.47 (v144(constB65) <=> (~((~v141(constB65)) | (~v145(constB65))))),
% 9.90/7.47 inference(unit_resolution,[status(thm)],[38525, 608])).
% 9.90/7.47 tff(38527,plain,
% 9.90/7.47 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB65) <=> (~(v84(constB65, bitIndex2) | v84(constB65, bitIndex1) | (~v84(constB65, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB65) <=> (~(v84(constB65, bitIndex2) | v84(constB65, bitIndex1) | (~v84(constB65, bitIndex0))))))),
% 9.90/7.47 inference(rewrite,[status(thm)],[])).
% 9.90/7.47 tff(38528,plain,
% 9.90/7.47 ((v145(constB65) <=> (~(v84(constB65, bitIndex1) | v84(constB65, bitIndex2) | (~v84(constB65, bitIndex0))))) <=> (v145(constB65) <=> (~(v84(constB65, bitIndex2) | v84(constB65, bitIndex1) | (~v84(constB65, bitIndex0)))))),
% 9.90/7.47 inference(rewrite,[status(thm)],[])).
% 9.90/7.47 tff(38529,plain,
% 9.90/7.47 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB65) <=> (~(v84(constB65, bitIndex1) | v84(constB65, bitIndex2) | (~v84(constB65, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB65) <=> (~(v84(constB65, bitIndex2) | v84(constB65, bitIndex1) | (~v84(constB65, bitIndex0))))))),
% 9.90/7.47 inference(monotonicity,[status(thm)],[38528])).
% 9.90/7.47 tff(38530,plain,
% 9.90/7.47 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB65) <=> (~(v84(constB65, bitIndex1) | v84(constB65, bitIndex2) | (~v84(constB65, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB65) <=> (~(v84(constB65, bitIndex2) | v84(constB65, bitIndex1) | (~v84(constB65, bitIndex0))))))),
% 9.90/7.47 inference(transitivity,[status(thm)],[38529, 38527])).
% 9.90/7.47 tff(38531,plain,
% 9.90/7.47 ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB65) <=> (~(v84(constB65, bitIndex1) | v84(constB65, bitIndex2) | (~v84(constB65, bitIndex0)))))),
% 9.90/7.47 inference(quant_inst,[status(thm)],[])).
% 9.90/7.47 tff(38532,plain,
% 9.90/7.47 ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB65) <=> (~(v84(constB65, bitIndex2) | v84(constB65, bitIndex1) | (~v84(constB65, bitIndex0)))))),
% 9.90/7.47 inference(modus_ponens,[status(thm)],[38531, 38530])).
% 9.90/7.47 tff(38533,plain,
% 9.90/7.47 (v145(constB65) <=> (~(v84(constB65, bitIndex2) | v84(constB65, bitIndex1) | (~v84(constB65, bitIndex0))))),
% 9.90/7.47 inference(unit_resolution,[status(thm)],[38532, 755])).
% 9.90/7.47 tff(38534,plain,
% 9.90/7.47 ((v84(constB65, bitIndex2) | v84(constB65, bitIndex1) | (~v84(constB65, bitIndex0))) | (~v84(constB65, bitIndex1))),
% 9.90/7.47 inference(tautology,[status(thm)],[])).
% 9.90/7.47 tff(38535,plain,
% 9.90/7.47 (v84(constB65, bitIndex2) | v84(constB65, bitIndex1) | (~v84(constB65, bitIndex0))),
% 9.90/7.47 inference(unit_resolution,[status(thm)],[38534, 15199])).
% 9.90/7.47 tff(38536,plain,
% 9.90/7.47 ((~(v145(constB65) <=> (~(v84(constB65, bitIndex2) | v84(constB65, bitIndex1) | (~v84(constB65, bitIndex0)))))) | (~v145(constB65)) | (~(v84(constB65, bitIndex2) | v84(constB65, bitIndex1) | (~v84(constB65, bitIndex0))))),
% 9.90/7.47 inference(tautology,[status(thm)],[])).
% 9.90/7.47 tff(38537,plain,
% 9.90/7.47 (~v145(constB65)),
% 9.90/7.47 inference(unit_resolution,[status(thm)],[38536, 38535, 38533])).
% 9.90/7.47 tff(38538,plain,
% 9.90/7.47 (((~v141(constB65)) | (~v145(constB65))) | v145(constB65)),
% 9.90/7.47 inference(tautology,[status(thm)],[])).
% 9.90/7.47 tff(38539,plain,
% 9.90/7.47 ((~v141(constB65)) | (~v145(constB65))),
% 9.90/7.47 inference(unit_resolution,[status(thm)],[38538, 38537])).
% 9.90/7.47 tff(38540,plain,
% 9.90/7.47 ((~(v144(constB65) <=> (~((~v141(constB65)) | (~v145(constB65)))))) | (~v144(constB65)) | (~((~v141(constB65)) | (~v145(constB65))))),
% 9.90/7.47 inference(tautology,[status(thm)],[])).
% 9.90/7.47 tff(38541,plain,
% 9.90/7.47 (~v144(constB65)),
% 9.90/7.47 inference(unit_resolution,[status(thm)],[38540, 38539, 38526])).
% 9.90/7.47 tff(38542,plain,
% 9.90/7.47 (((~v143(constB65)) | (~v144(constB65))) | v144(constB65)),
% 9.90/7.47 inference(tautology,[status(thm)],[])).
% 9.90/7.47 tff(38543,plain,
% 9.90/7.47 ((~v143(constB65)) | (~v144(constB65))),
% 9.90/7.47 inference(unit_resolution,[status(thm)],[38542, 38541])).
% 9.90/7.47 tff(38544,plain,
% 9.90/7.47 ((~(v142(constB65) <=> (~((~v143(constB65)) | (~v144(constB65)))))) | (~v142(constB65)) | (~((~v143(constB65)) | (~v144(constB65))))),
% 9.90/7.47 inference(tautology,[status(thm)],[])).
% 9.90/7.47 tff(38545,plain,
% 9.90/7.47 (~v142(constB65)),
% 9.90/7.47 inference(unit_resolution,[status(thm)],[38544, 38543, 38524])).
% 9.90/7.47 tff(38546,plain,
% 9.90/7.47 ((~(v138(constB65) | v142(constB65))) | v138(constB65) | v142(constB65)),
% 9.90/7.47 inference(tautology,[status(thm)],[])).
% 9.90/7.47 tff(38547,plain,
% 9.90/7.47 (~(v138(constB65) | v142(constB65))),
% 9.90/7.47 inference(unit_resolution,[status(thm)],[38546, 38545, 38522])).
% 9.90/7.47 tff(38548,plain,
% 9.90/7.47 ((~(v135(constB65) <=> (v138(constB65) | v142(constB65)))) | (~v135(constB65)) | (v138(constB65) | v142(constB65))),
% 9.90/7.47 inference(tautology,[status(thm)],[])).
% 9.90/7.47 tff(38549,plain,
% 9.90/7.47 (~v135(constB65)),
% 9.90/7.47 inference(unit_resolution,[status(thm)],[38548, 38547, 38511])).
% 9.90/7.47 tff(38550,plain,
% 9.90/7.47 ((~(v137(constB66) <=> v135(constB65))) | (~v137(constB66)) | v135(constB65)),
% 9.90/7.47 inference(tautology,[status(thm)],[])).
% 9.90/7.47 tff(38551,plain,
% 9.90/7.47 (~v137(constB66)),
% 9.90/7.47 inference(unit_resolution,[status(thm)],[38550, 38549, 38509])).
% 9.90/7.47 tff(38552,plain,
% 9.90/7.47 ((~(v132(constB66) <=> v137(constB66))) | (~v132(constB66)) | v137(constB66)),
% 9.90/7.47 inference(tautology,[status(thm)],[])).
% 9.90/7.47 tff(38553,plain,
% 9.90/7.47 (~v132(constB66)),
% 9.90/7.47 inference(unit_resolution,[status(thm)],[38552, 38551, 38505])).
% 9.90/7.47 tff(38554,plain,
% 9.90/7.47 (((~v132(constB66)) | (~v139(constB66))) | v132(constB66)),
% 9.90/7.47 inference(tautology,[status(thm)],[])).
% 9.90/7.47 tff(38555,plain,
% 9.90/7.47 ((~v132(constB66)) | (~v139(constB66))),
% 9.90/7.47 inference(unit_resolution,[status(thm)],[38554, 38553])).
% 9.90/7.47 tff(38556,plain,
% 9.90/7.47 ((~(v138(constB66) <=> (~((~v132(constB66)) | (~v139(constB66)))))) | (~v138(constB66)) | (~((~v132(constB66)) | (~v139(constB66))))),
% 9.90/7.47 inference(tautology,[status(thm)],[])).
% 9.90/7.47 tff(38557,plain,
% 9.90/7.47 (~v138(constB66)),
% 9.90/7.47 inference(unit_resolution,[status(thm)],[38556, 38555, 38503])).
% 9.90/7.47 tff(38558,plain,
% 9.90/7.47 ((~(v138(constB66) | v142(constB66))) | v138(constB66) | v142(constB66)),
% 9.90/7.47 inference(tautology,[status(thm)],[])).
% 9.90/7.47 tff(38559,plain,
% 9.90/7.47 (~(v138(constB66) | v142(constB66))),
% 9.90/7.47 inference(unit_resolution,[status(thm)],[38558, 38557, 38496])).
% 9.90/7.47 tff(38560,plain,
% 9.90/7.47 ((~(v135(constB66) <=> (v138(constB66) | v142(constB66)))) | (~v135(constB66)) | (v138(constB66) | v142(constB66))),
% 9.90/7.47 inference(tautology,[status(thm)],[])).
% 9.90/7.47 tff(38561,plain,
% 9.90/7.47 (~v135(constB66)),
% 9.90/7.47 inference(unit_resolution,[status(thm)],[38560, 38559, 38483])).
% 9.90/7.47 tff(38562,plain,
% 9.90/7.47 ((~(v137(constB67) <=> v135(constB66))) | (~v137(constB67)) | v135(constB66)),
% 9.90/7.47 inference(tautology,[status(thm)],[])).
% 9.90/7.47 tff(38563,plain,
% 9.90/7.47 (~v137(constB67)),
% 9.90/7.47 inference(unit_resolution,[status(thm)],[38562, 38561, 38481])).
% 9.90/7.47 tff(38564,plain,
% 9.90/7.47 ((~(v132(constB67) <=> v137(constB67))) | (~v132(constB67)) | v137(constB67)),
% 9.90/7.47 inference(tautology,[status(thm)],[])).
% 9.90/7.47 tff(38565,plain,
% 9.90/7.47 (~v132(constB67)),
% 9.90/7.47 inference(unit_resolution,[status(thm)],[38564, 38563, 38477])).
% 9.90/7.47 tff(38566,plain,
% 9.90/7.47 (((~v132(constB67)) | (~v154(constB67))) | v132(constB67)),
% 9.90/7.47 inference(tautology,[status(thm)],[])).
% 9.90/7.47 tff(38567,plain,
% 9.90/7.47 ((~v132(constB67)) | (~v154(constB67))),
% 9.90/7.47 inference(unit_resolution,[status(thm)],[38566, 38565])).
% 9.90/7.47 tff(38568,plain,
% 9.90/7.47 ((~(v153(constB67) <=> (~((~v132(constB67)) | (~v154(constB67)))))) | (~v153(constB67)) | (~((~v132(constB67)) | (~v154(constB67))))),
% 9.90/7.47 inference(tautology,[status(thm)],[])).
% 9.90/7.47 tff(38569,plain,
% 9.90/7.47 (~v153(constB67)),
% 9.90/7.47 inference(unit_resolution,[status(thm)],[38568, 38567, 38475])).
% 9.90/7.47 tff(38570,plain,
% 9.90/7.47 ((~(v153(constB67) | v155(constB67))) | v153(constB67) | v155(constB67)),
% 9.90/7.47 inference(tautology,[status(thm)],[])).
% 9.90/7.47 tff(38571,plain,
% 9.90/7.47 (~(v153(constB67) | v155(constB67))),
% 9.90/7.47 inference(unit_resolution,[status(thm)],[38570, 38569, 38468])).
% 9.90/7.47 tff(38572,plain,
% 9.90/7.47 ((~(v150(constB67) <=> (v153(constB67) | v155(constB67)))) | (~v150(constB67)) | (v153(constB67) | v155(constB67))),
% 9.90/7.47 inference(tautology,[status(thm)],[])).
% 9.90/7.47 tff(38573,plain,
% 9.90/7.47 (~v150(constB67)),
% 9.90/7.47 inference(unit_resolution,[status(thm)],[38572, 38571, 38395])).
% 9.90/7.47 tff(38574,plain,
% 9.90/7.47 ((~(v152(constB68) <=> v150(constB67))) | (~v152(constB68)) | v150(constB67)),
% 9.90/7.47 inference(tautology,[status(thm)],[])).
% 9.90/7.47 tff(38575,plain,
% 9.90/7.47 (~v152(constB68)),
% 9.90/7.47 inference(unit_resolution,[status(thm)],[38574, 38573, 38393])).
% 9.90/7.47 tff(38576,plain,
% 9.90/7.47 ((~(v130(constB68) <=> v152(constB68))) | (~v130(constB68)) | v152(constB68)),
% 9.90/7.47 inference(tautology,[status(thm)],[])).
% 9.90/7.47 tff(38577,plain,
% 9.90/7.47 (~v130(constB68)),
% 9.90/7.47 inference(unit_resolution,[status(thm)],[38576, 38575, 38389])).
% 9.90/7.47 tff(38578,plain,
% 9.90/7.47 (((~v130(constB68)) | (~v139(constB68))) | v130(constB68)),
% 9.90/7.47 inference(tautology,[status(thm)],[])).
% 9.90/7.47 tff(38579,plain,
% 9.90/7.47 ((~v130(constB68)) | (~v139(constB68))),
% 9.90/7.47 inference(unit_resolution,[status(thm)],[38578, 38577])).
% 9.90/7.47 tff(38580,plain,
% 9.90/7.47 ((~(v155(constB68) <=> (~((~v130(constB68)) | (~v139(constB68)))))) | (~v155(constB68)) | (~((~v130(constB68)) | (~v139(constB68))))),
% 9.90/7.47 inference(tautology,[status(thm)],[])).
% 9.90/7.47 tff(38581,plain,
% 9.90/7.47 (~v155(constB68)),
% 9.90/7.47 inference(unit_resolution,[status(thm)],[38580, 38579, 38387])).
% 9.90/7.47 tff(38582,plain,
% 9.90/7.47 ((~(v153(constB68) | v155(constB68))) | v153(constB68) | v155(constB68)),
% 9.90/7.47 inference(tautology,[status(thm)],[])).
% 9.90/7.47 tff(38583,plain,
% 9.90/7.47 (~(v153(constB68) | v155(constB68))),
% 9.90/7.47 inference(unit_resolution,[status(thm)],[38582, 38581, 38380])).
% 9.90/7.47 tff(38584,plain,
% 9.90/7.47 ((~(v150(constB68) <=> (v153(constB68) | v155(constB68)))) | (~v150(constB68)) | (v153(constB68) | v155(constB68))),
% 9.90/7.47 inference(tautology,[status(thm)],[])).
% 9.90/7.47 tff(38585,plain,
% 9.90/7.47 (~v150(constB68)),
% 9.90/7.47 inference(unit_resolution,[status(thm)],[38584, 38583, 38345])).
% 9.90/7.47 tff(38586,plain,
% 9.90/7.47 ((~(v152(constB69) <=> v150(constB68))) | (~v152(constB69)) | v150(constB68)),
% 9.90/7.47 inference(tautology,[status(thm)],[])).
% 9.90/7.47 tff(38587,plain,
% 9.90/7.47 (~v152(constB69)),
% 9.90/7.47 inference(unit_resolution,[status(thm)],[38586, 38585, 38343])).
% 9.90/7.47 tff(38588,plain,
% 9.90/7.47 ((~(v130(constB69) <=> v152(constB69))) | (~v130(constB69)) | v152(constB69)),
% 9.90/7.47 inference(tautology,[status(thm)],[])).
% 9.90/7.47 tff(38589,plain,
% 9.90/7.47 (~v130(constB69)),
% 9.90/7.47 inference(unit_resolution,[status(thm)],[38588, 38587, 38339])).
% 9.90/7.47 tff(38590,plain,
% 9.90/7.47 (((~v130(constB69)) | (~v154(constB69))) | v130(constB69)),
% 9.90/7.47 inference(tautology,[status(thm)],[])).
% 9.90/7.47 tff(38591,plain,
% 9.90/7.47 ((~v130(constB69)) | (~v154(constB69))),
% 9.90/7.47 inference(unit_resolution,[status(thm)],[38590, 38589])).
% 9.90/7.47 tff(38592,plain,
% 9.90/7.47 ((~(v164(constB69) <=> (~((~v130(constB69)) | (~v154(constB69)))))) | (~v164(constB69)) | (~((~v130(constB69)) | (~v154(constB69))))),
% 9.90/7.47 inference(tautology,[status(thm)],[])).
% 9.90/7.47 tff(38593,plain,
% 9.90/7.47 (~v164(constB69)),
% 9.90/7.47 inference(unit_resolution,[status(thm)],[38592, 38591, 38337])).
% 9.90/7.47 tff(38594,plain,
% 9.90/7.47 ((~(v163(constB69) | v164(constB69))) | v163(constB69) | v164(constB69)),
% 9.90/7.47 inference(tautology,[status(thm)],[])).
% 9.90/7.47 tff(38595,plain,
% 9.90/7.47 (~(v163(constB69) | v164(constB69))),
% 9.90/7.47 inference(unit_resolution,[status(thm)],[38594, 38593, 38330])).
% 9.90/7.47 tff(38596,plain,
% 9.90/7.47 ((~(v160(constB69) <=> (v163(constB69) | v164(constB69)))) | (~v160(constB69)) | (v163(constB69) | v164(constB69))),
% 9.90/7.47 inference(tautology,[status(thm)],[])).
% 9.90/7.47 tff(38597,plain,
% 9.90/7.47 (~v160(constB69)),
% 9.90/7.47 inference(unit_resolution,[status(thm)],[38596, 38595, 38257])).
% 9.90/7.47 tff(38598,plain,
% 9.90/7.47 ((~(v162(constB70) <=> v160(constB69))) | (~v162(constB70)) | v160(constB69)),
% 9.90/7.47 inference(tautology,[status(thm)],[])).
% 9.90/7.47 tff(38599,plain,
% 9.90/7.47 (~v162(constB70)),
% 9.90/7.47 inference(unit_resolution,[status(thm)],[38598, 38597, 38255])).
% 9.90/7.47 tff(38600,plain,
% 9.90/7.47 ((~(v128(constB70) <=> v162(constB70))) | (~v128(constB70)) | v162(constB70)),
% 9.90/7.47 inference(tautology,[status(thm)],[])).
% 9.90/7.47 tff(38601,plain,
% 9.90/7.47 (~v128(constB70)),
% 9.90/7.47 inference(unit_resolution,[status(thm)],[38600, 38599, 38251])).
% 9.90/7.47 tff(38602,plain,
% 9.90/7.47 (((~v128(constB70)) | (~v139(constB70))) | v128(constB70)),
% 9.90/7.47 inference(tautology,[status(thm)],[])).
% 9.90/7.47 tff(38603,plain,
% 9.90/7.47 ((~v128(constB70)) | (~v139(constB70))),
% 9.90/7.47 inference(unit_resolution,[status(thm)],[38602, 38601])).
% 9.90/7.47 tff(38604,plain,
% 9.90/7.47 ((~(v163(constB70) <=> (~((~v128(constB70)) | (~v139(constB70)))))) | (~v163(constB70)) | (~((~v128(constB70)) | (~v139(constB70))))),
% 9.90/7.47 inference(tautology,[status(thm)],[])).
% 9.90/7.47 tff(38605,plain,
% 9.90/7.47 (~v163(constB70)),
% 9.90/7.47 inference(unit_resolution,[status(thm)],[38604, 38603, 38249])).
% 9.90/7.47 tff(38606,plain,
% 9.90/7.47 ((~(v163(constB70) | v164(constB70))) | v163(constB70) | v164(constB70)),
% 9.90/7.47 inference(tautology,[status(thm)],[])).
% 9.90/7.47 tff(38607,plain,
% 9.90/7.47 (~(v163(constB70) | v164(constB70))),
% 9.90/7.47 inference(unit_resolution,[status(thm)],[38606, 38605, 38242])).
% 9.90/7.47 tff(38608,plain,
% 9.90/7.47 ((~(v160(constB70) <=> (v163(constB70) | v164(constB70)))) | (~v160(constB70)) | (v163(constB70) | v164(constB70))),
% 9.90/7.47 inference(tautology,[status(thm)],[])).
% 9.90/7.47 tff(38609,plain,
% 9.90/7.47 (~v160(constB70)),
% 9.90/7.47 inference(unit_resolution,[status(thm)],[38608, 38607, 38207])).
% 9.90/7.47 tff(38610,plain,
% 9.90/7.47 ((~(v162(constB71) <=> v160(constB70))) | (~v162(constB71)) | v160(constB70)),
% 9.90/7.47 inference(tautology,[status(thm)],[])).
% 9.90/7.47 tff(38611,plain,
% 9.90/7.47 (~v162(constB71)),
% 9.90/7.47 inference(unit_resolution,[status(thm)],[38610, 38609, 38205])).
% 9.90/7.47 tff(38612,plain,
% 9.90/7.47 ($false),
% 9.90/7.47 inference(unit_resolution,[status(thm)],[38611, 38201])).
% 9.90/7.47 tff(38613,plain,(~(constB71 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.90/7.47 tff(38614,assumption,(constB81 = VarCurr!0), introduced(assumption)).
% 9.90/7.47 tff(38615,plain,
% 9.90/7.47 (v170(constB81) <=> v170(VarCurr!0)),
% 9.90/7.47 inference(monotonicity,[status(thm)],[38614])).
% 9.90/7.47 tff(38616,plain,
% 9.90/7.47 (v170(VarCurr!0) <=> v170(constB81)),
% 9.90/7.47 inference(symmetry,[status(thm)],[38615])).
% 9.90/7.47 tff(38617,plain,
% 9.90/7.47 (v170(constB81)),
% 9.90/7.47 inference(modus_ponens,[status(thm)],[26047, 38616])).
% 9.90/7.47 tff(38618,plain,
% 9.90/7.47 (((~![VarCurr: $i] : (v170(VarCurr) <=> (~((~v171(VarCurr)) | (~v141(VarCurr)))))) | (v170(constB81) <=> (~((~v141(constB81)) | (~v171(constB81)))))) <=> ((~![VarCurr: $i] : (v170(VarCurr) <=> (~((~v171(VarCurr)) | (~v141(VarCurr)))))) | (v170(constB81) <=> (~((~v141(constB81)) | (~v171(constB81))))))),
% 9.90/7.47 inference(rewrite,[status(thm)],[])).
% 9.90/7.47 tff(38619,plain,
% 9.90/7.47 ((v170(constB81) <=> (~((~v171(constB81)) | (~v141(constB81))))) <=> (v170(constB81) <=> (~((~v141(constB81)) | (~v171(constB81)))))),
% 9.90/7.47 inference(rewrite,[status(thm)],[])).
% 9.90/7.47 tff(38620,plain,
% 9.90/7.47 (((~![VarCurr: $i] : (v170(VarCurr) <=> (~((~v171(VarCurr)) | (~v141(VarCurr)))))) | (v170(constB81) <=> (~((~v171(constB81)) | (~v141(constB81)))))) <=> ((~![VarCurr: $i] : (v170(VarCurr) <=> (~((~v171(VarCurr)) | (~v141(VarCurr)))))) | (v170(constB81) <=> (~((~v141(constB81)) | (~v171(constB81))))))),
% 9.90/7.47 inference(monotonicity,[status(thm)],[38619])).
% 9.90/7.47 tff(38621,plain,
% 9.90/7.47 (((~![VarCurr: $i] : (v170(VarCurr) <=> (~((~v171(VarCurr)) | (~v141(VarCurr)))))) | (v170(constB81) <=> (~((~v171(constB81)) | (~v141(constB81)))))) <=> ((~![VarCurr: $i] : (v170(VarCurr) <=> (~((~v171(VarCurr)) | (~v141(VarCurr)))))) | (v170(constB81) <=> (~((~v141(constB81)) | (~v171(constB81))))))),
% 9.90/7.47 inference(transitivity,[status(thm)],[38620, 38618])).
% 9.90/7.47 tff(38622,plain,
% 9.90/7.47 ((~![VarCurr: $i] : (v170(VarCurr) <=> (~((~v171(VarCurr)) | (~v141(VarCurr)))))) | (v170(constB81) <=> (~((~v171(constB81)) | (~v141(constB81)))))),
% 9.90/7.47 inference(quant_inst,[status(thm)],[])).
% 9.90/7.47 tff(38623,plain,
% 9.90/7.47 ((~![VarCurr: $i] : (v170(VarCurr) <=> (~((~v171(VarCurr)) | (~v141(VarCurr)))))) | (v170(constB81) <=> (~((~v141(constB81)) | (~v171(constB81)))))),
% 9.90/7.47 inference(modus_ponens,[status(thm)],[38622, 38621])).
% 9.90/7.47 tff(38624,plain,
% 9.90/7.47 (v170(constB81) <=> (~((~v141(constB81)) | (~v171(constB81))))),
% 9.90/7.47 inference(unit_resolution,[status(thm)],[38623, 26058])).
% 9.90/7.47 tff(38625,plain,
% 9.90/7.47 ((~![VarCurr: $i] : ((~v171(VarCurr)) <=> v172(VarCurr))) | ((~v171(constB81)) <=> v172(constB81))),
% 9.90/7.47 inference(quant_inst,[status(thm)],[])).
% 9.90/7.47 tff(38626,plain,
% 9.90/7.47 ((~v171(constB81)) <=> v172(constB81)),
% 9.90/7.47 inference(unit_resolution,[status(thm)],[38625, 26072])).
% 9.90/7.47 tff(38627,plain,
% 9.90/7.47 (((~![VarCurr: $i] : (v172(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v172(constB81) <=> (~((~v84(constB81, bitIndex2)) | v84(constB81, bitIndex1) | v84(constB81, bitIndex0))))) <=> ((~![VarCurr: $i] : (v172(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v172(constB81) <=> (~((~v84(constB81, bitIndex2)) | v84(constB81, bitIndex1) | v84(constB81, bitIndex0)))))),
% 9.90/7.47 inference(rewrite,[status(thm)],[])).
% 9.90/7.47 tff(38628,plain,
% 9.90/7.47 ((v172(constB81) <=> (~(v84(constB81, bitIndex0) | v84(constB81, bitIndex1) | (~v84(constB81, bitIndex2))))) <=> (v172(constB81) <=> (~((~v84(constB81, bitIndex2)) | v84(constB81, bitIndex1) | v84(constB81, bitIndex0))))),
% 9.90/7.47 inference(rewrite,[status(thm)],[])).
% 9.90/7.47 tff(38629,plain,
% 9.90/7.47 (((~![VarCurr: $i] : (v172(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v172(constB81) <=> (~(v84(constB81, bitIndex0) | v84(constB81, bitIndex1) | (~v84(constB81, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v172(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v172(constB81) <=> (~((~v84(constB81, bitIndex2)) | v84(constB81, bitIndex1) | v84(constB81, bitIndex0)))))),
% 9.90/7.47 inference(monotonicity,[status(thm)],[38628])).
% 9.90/7.47 tff(38630,plain,
% 9.90/7.47 (((~![VarCurr: $i] : (v172(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v172(constB81) <=> (~(v84(constB81, bitIndex0) | v84(constB81, bitIndex1) | (~v84(constB81, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v172(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v172(constB81) <=> (~((~v84(constB81, bitIndex2)) | v84(constB81, bitIndex1) | v84(constB81, bitIndex0)))))),
% 9.90/7.47 inference(transitivity,[status(thm)],[38629, 38627])).
% 9.90/7.47 tff(38631,plain,
% 9.90/7.47 ((~![VarCurr: $i] : (v172(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v172(constB81) <=> (~(v84(constB81, bitIndex0) | v84(constB81, bitIndex1) | (~v84(constB81, bitIndex2)))))),
% 9.90/7.47 inference(quant_inst,[status(thm)],[])).
% 9.90/7.47 tff(38632,plain,
% 9.90/7.47 ((~![VarCurr: $i] : (v172(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v172(constB81) <=> (~((~v84(constB81, bitIndex2)) | v84(constB81, bitIndex1) | v84(constB81, bitIndex0))))),
% 9.90/7.47 inference(modus_ponens,[status(thm)],[38631, 38630])).
% 9.90/7.47 tff(38633,plain,
% 9.90/7.47 (v172(constB81) <=> (~((~v84(constB81, bitIndex2)) | v84(constB81, bitIndex1) | v84(constB81, bitIndex0)))),
% 9.90/7.47 inference(unit_resolution,[status(thm)],[38632, 26087])).
% 9.90/7.47 tff(38634,plain,
% 9.90/7.47 ((~(v172(constB81) <=> (~((~v84(constB81, bitIndex2)) | v84(constB81, bitIndex1) | v84(constB81, bitIndex0))))) | v172(constB81) | ((~v84(constB81, bitIndex2)) | v84(constB81, bitIndex1) | v84(constB81, bitIndex0))),
% 9.90/7.47 inference(tautology,[status(thm)],[])).
% 9.90/7.47 tff(38635,plain,
% 9.90/7.47 (v172(constB81)),
% 9.90/7.47 inference(unit_resolution,[status(thm)],[38634, 16484, 38633])).
% 9.90/7.47 tff(38636,plain,
% 9.90/7.47 ((~((~v171(constB81)) <=> v172(constB81))) | (~v171(constB81)) | (~v172(constB81))),
% 9.90/7.47 inference(tautology,[status(thm)],[])).
% 9.90/7.47 tff(38637,plain,
% 9.90/7.47 (~v171(constB81)),
% 9.90/7.47 inference(unit_resolution,[status(thm)],[38636, 38635, 38626])).
% 9.90/7.47 tff(38638,plain,
% 9.90/7.47 (((~v141(constB81)) | (~v171(constB81))) | v171(constB81)),
% 9.90/7.47 inference(tautology,[status(thm)],[])).
% 9.90/7.47 tff(38639,plain,
% 9.90/7.47 ((~v141(constB81)) | (~v171(constB81))),
% 9.90/7.47 inference(unit_resolution,[status(thm)],[38638, 38637])).
% 9.90/7.47 tff(38640,plain,
% 9.90/7.47 ((~(v170(constB81) <=> (~((~v141(constB81)) | (~v171(constB81)))))) | (~v170(constB81)) | (~((~v141(constB81)) | (~v171(constB81))))),
% 9.90/7.47 inference(tautology,[status(thm)],[])).
% 9.90/7.47 tff(38641,plain,
% 9.90/7.47 (~v170(constB81)),
% 9.90/7.47 inference(unit_resolution,[status(thm)],[38640, 38639, 38624])).
% 9.90/7.47 tff(38642,plain,
% 9.90/7.47 ($false),
% 9.90/7.47 inference(unit_resolution,[status(thm)],[38641, 38617])).
% 9.90/7.47 tff(38643,plain,(~(constB81 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.90/7.47 tff(38644,assumption,(constB13 = VarCurr!0), introduced(assumption)).
% 9.90/7.47 tff(38645,plain,
% 9.90/7.47 (v162(constB13) <=> v162(VarCurr!0)),
% 9.90/7.47 inference(monotonicity,[status(thm)],[38644])).
% 9.90/7.47 tff(38646,plain,
% 9.90/7.47 (v162(VarCurr!0) <=> v162(constB13)),
% 9.90/7.47 inference(symmetry,[status(thm)],[38645])).
% 9.90/7.47 tff(38647,plain,
% 9.90/7.47 (v162(constB13)),
% 9.90/7.47 inference(modus_ponens,[status(thm)],[59, 38646])).
% 9.90/7.47 tff(38648,plain,
% 9.90/7.47 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB12, constB13)) | (v162(constB13) <=> v160(constB12)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB12, constB13)) | (v162(constB13) <=> v160(constB12)))),
% 9.90/7.47 inference(rewrite,[status(thm)],[])).
% 9.90/7.47 tff(38649,plain,
% 9.90/7.47 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB12, constB13)) | (v162(constB13) <=> v160(constB12)))),
% 9.90/7.47 inference(quant_inst,[status(thm)],[])).
% 9.90/7.47 tff(38650,plain,
% 9.90/7.47 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB12, constB13)) | (v162(constB13) <=> v160(constB12))),
% 9.90/7.47 inference(modus_ponens,[status(thm)],[38649, 38648])).
% 9.90/7.47 tff(38651,plain,
% 9.90/7.47 (v162(constB13) <=> v160(constB12)),
% 9.90/7.47 inference(unit_resolution,[status(thm)],[38650, 9179, 70])).
% 9.90/7.47 tff(38652,plain,
% 9.90/7.47 ((~![VarCurr: $i] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB12) <=> (v163(constB12) | v164(constB12)))),
% 9.90/7.47 inference(quant_inst,[status(thm)],[])).
% 9.90/7.47 tff(38653,plain,
% 9.90/7.47 (v160(constB12) <=> (v163(constB12) | v164(constB12))),
% 9.90/7.47 inference(unit_resolution,[status(thm)],[38652, 84])).
% 9.90/7.47 tff(38654,plain,
% 9.90/7.47 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB12) <=> (~((~v130(constB12)) | (~v154(constB12)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB12) <=> (~((~v130(constB12)) | (~v154(constB12))))))),
% 9.90/7.47 inference(rewrite,[status(thm)],[])).
% 9.90/7.47 tff(38655,plain,
% 9.90/7.47 ((v164(constB12) <=> (~((~v154(constB12)) | (~v130(constB12))))) <=> (v164(constB12) <=> (~((~v130(constB12)) | (~v154(constB12)))))),
% 9.90/7.47 inference(rewrite,[status(thm)],[])).
% 9.90/7.47 tff(38656,plain,
% 9.90/7.47 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB12) <=> (~((~v154(constB12)) | (~v130(constB12)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB12) <=> (~((~v130(constB12)) | (~v154(constB12))))))),
% 9.90/7.47 inference(monotonicity,[status(thm)],[38655])).
% 9.90/7.47 tff(38657,plain,
% 9.90/7.47 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB12) <=> (~((~v154(constB12)) | (~v130(constB12)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB12) <=> (~((~v130(constB12)) | (~v154(constB12))))))),
% 9.90/7.47 inference(transitivity,[status(thm)],[38656, 38654])).
% 9.90/7.47 tff(38658,plain,
% 9.90/7.47 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB12) <=> (~((~v154(constB12)) | (~v130(constB12)))))),
% 9.90/7.47 inference(quant_inst,[status(thm)],[])).
% 9.90/7.47 tff(38659,plain,
% 9.90/7.47 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB12) <=> (~((~v130(constB12)) | (~v154(constB12)))))),
% 9.90/7.47 inference(modus_ponens,[status(thm)],[38658, 38657])).
% 9.90/7.47 tff(38660,plain,
% 9.90/7.47 (v164(constB12) <=> (~((~v130(constB12)) | (~v154(constB12))))),
% 9.90/7.47 inference(unit_resolution,[status(thm)],[38659, 96])).
% 9.90/7.47 tff(38661,plain,
% 9.90/7.47 (((~v130(constB12)) | (~v154(constB12))) | v154(constB12)),
% 9.90/7.47 inference(tautology,[status(thm)],[])).
% 9.90/7.47 tff(38662,plain,
% 9.90/7.47 ((~v130(constB12)) | (~v154(constB12))),
% 9.90/7.47 inference(unit_resolution,[status(thm)],[38661, 37960])).
% 9.90/7.47 tff(38663,plain,
% 9.90/7.47 ((~(v164(constB12) <=> (~((~v130(constB12)) | (~v154(constB12)))))) | (~v164(constB12)) | (~((~v130(constB12)) | (~v154(constB12))))),
% 9.90/7.47 inference(tautology,[status(thm)],[])).
% 9.90/7.47 tff(38664,plain,
% 9.90/7.47 (~v164(constB12)),
% 9.90/7.47 inference(unit_resolution,[status(thm)],[38663, 38662, 38660])).
% 9.90/7.47 tff(38665,plain,
% 9.90/7.47 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB12) <=> (~((~v128(constB12)) | (~v139(constB12)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB12) <=> (~((~v128(constB12)) | (~v139(constB12))))))),
% 9.90/7.47 inference(rewrite,[status(thm)],[])).
% 9.90/7.47 tff(38666,plain,
% 9.90/7.47 ((v163(constB12) <=> (~((~v139(constB12)) | (~v128(constB12))))) <=> (v163(constB12) <=> (~((~v128(constB12)) | (~v139(constB12)))))),
% 9.90/7.47 inference(rewrite,[status(thm)],[])).
% 9.90/7.47 tff(38667,plain,
% 9.90/7.47 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB12) <=> (~((~v139(constB12)) | (~v128(constB12)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB12) <=> (~((~v128(constB12)) | (~v139(constB12))))))),
% 9.90/7.47 inference(monotonicity,[status(thm)],[38666])).
% 9.90/7.47 tff(38668,plain,
% 9.90/7.47 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB12) <=> (~((~v139(constB12)) | (~v128(constB12)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB12) <=> (~((~v128(constB12)) | (~v139(constB12))))))),
% 9.90/7.47 inference(transitivity,[status(thm)],[38667, 38665])).
% 9.90/7.47 tff(38669,plain,
% 9.90/7.47 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB12) <=> (~((~v139(constB12)) | (~v128(constB12)))))),
% 9.90/7.47 inference(quant_inst,[status(thm)],[])).
% 9.90/7.47 tff(38670,plain,
% 9.90/7.47 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB12) <=> (~((~v128(constB12)) | (~v139(constB12)))))),
% 9.90/7.47 inference(modus_ponens,[status(thm)],[38669, 38668])).
% 9.90/7.47 tff(38671,plain,
% 9.90/7.47 (v163(constB12) <=> (~((~v128(constB12)) | (~v139(constB12))))),
% 9.90/7.47 inference(unit_resolution,[status(thm)],[38670, 171])).
% 9.90/7.47 tff(38672,plain,
% 9.90/7.47 ((~![VarNext: $i] : (v128(VarNext) <=> v162(VarNext))) | (v128(constB12) <=> v162(constB12))),
% 9.90/7.47 inference(quant_inst,[status(thm)],[])).
% 9.90/7.47 tff(38673,plain,
% 9.90/7.47 (v128(constB12) <=> v162(constB12)),
% 9.90/7.47 inference(unit_resolution,[status(thm)],[38672, 13])).
% 9.90/7.47 tff(38674,plain,
% 9.90/7.47 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB11, constB12)) | (v162(constB12) <=> v160(constB11)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB11, constB12)) | (v162(constB12) <=> v160(constB11)))),
% 9.90/7.47 inference(rewrite,[status(thm)],[])).
% 9.90/7.47 tff(38675,plain,
% 9.90/7.47 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB11, constB12)) | (v162(constB12) <=> v160(constB11)))),
% 9.90/7.47 inference(quant_inst,[status(thm)],[])).
% 9.90/7.47 tff(38676,plain,
% 9.90/7.47 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB11, constB12)) | (v162(constB12) <=> v160(constB11))),
% 9.90/7.47 inference(modus_ponens,[status(thm)],[38675, 38674])).
% 9.90/7.47 tff(38677,plain,
% 9.90/7.47 (v162(constB12) <=> v160(constB11)),
% 9.90/7.47 inference(unit_resolution,[status(thm)],[38676, 9211, 70])).
% 9.90/7.47 tff(38678,plain,
% 9.90/7.47 ((~![VarCurr: $i] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB11) <=> (v163(constB11) | v164(constB11)))),
% 9.90/7.47 inference(quant_inst,[status(thm)],[])).
% 9.90/7.47 tff(38679,plain,
% 9.90/7.47 (v160(constB11) <=> (v163(constB11) | v164(constB11))),
% 9.90/7.47 inference(unit_resolution,[status(thm)],[38678, 84])).
% 9.90/7.47 tff(38680,plain,
% 9.90/7.47 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB11) <=> (~((~v128(constB11)) | (~v139(constB11)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB11) <=> (~((~v128(constB11)) | (~v139(constB11))))))),
% 9.90/7.47 inference(rewrite,[status(thm)],[])).
% 9.90/7.47 tff(38681,plain,
% 9.90/7.47 ((v163(constB11) <=> (~((~v139(constB11)) | (~v128(constB11))))) <=> (v163(constB11) <=> (~((~v128(constB11)) | (~v139(constB11)))))),
% 9.90/7.47 inference(rewrite,[status(thm)],[])).
% 9.90/7.47 tff(38682,plain,
% 9.90/7.47 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB11) <=> (~((~v139(constB11)) | (~v128(constB11)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB11) <=> (~((~v128(constB11)) | (~v139(constB11))))))),
% 9.90/7.47 inference(monotonicity,[status(thm)],[38681])).
% 9.90/7.47 tff(38683,plain,
% 9.90/7.47 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB11) <=> (~((~v139(constB11)) | (~v128(constB11)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB11) <=> (~((~v128(constB11)) | (~v139(constB11))))))),
% 9.90/7.47 inference(transitivity,[status(thm)],[38682, 38680])).
% 9.90/7.47 tff(38684,plain,
% 9.90/7.47 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB11) <=> (~((~v139(constB11)) | (~v128(constB11)))))),
% 9.90/7.47 inference(quant_inst,[status(thm)],[])).
% 9.90/7.47 tff(38685,plain,
% 9.90/7.47 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB11) <=> (~((~v128(constB11)) | (~v139(constB11)))))),
% 9.90/7.47 inference(modus_ponens,[status(thm)],[38684, 38683])).
% 9.90/7.47 tff(38686,plain,
% 9.90/7.47 (v163(constB11) <=> (~((~v128(constB11)) | (~v139(constB11))))),
% 9.90/7.47 inference(unit_resolution,[status(thm)],[38685, 171])).
% 9.90/7.47 tff(38687,plain,
% 9.90/7.47 (((~v128(constB11)) | (~v139(constB11))) | v139(constB11)),
% 9.90/7.47 inference(tautology,[status(thm)],[])).
% 9.90/7.47 tff(38688,plain,
% 9.90/7.47 ((~v128(constB11)) | (~v139(constB11))),
% 9.90/7.47 inference(unit_resolution,[status(thm)],[38687, 38048])).
% 9.90/7.47 tff(38689,plain,
% 9.90/7.47 ((~(v163(constB11) <=> (~((~v128(constB11)) | (~v139(constB11)))))) | (~v163(constB11)) | (~((~v128(constB11)) | (~v139(constB11))))),
% 9.90/7.47 inference(tautology,[status(thm)],[])).
% 9.90/7.47 tff(38690,plain,
% 9.90/7.47 (~v163(constB11)),
% 9.90/7.47 inference(unit_resolution,[status(thm)],[38689, 38688, 38686])).
% 9.90/7.47 tff(38691,plain,
% 9.90/7.47 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB11) <=> (~((~v130(constB11)) | (~v154(constB11)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB11) <=> (~((~v130(constB11)) | (~v154(constB11))))))),
% 9.90/7.47 inference(rewrite,[status(thm)],[])).
% 9.90/7.47 tff(38692,plain,
% 9.90/7.47 ((v164(constB11) <=> (~((~v154(constB11)) | (~v130(constB11))))) <=> (v164(constB11) <=> (~((~v130(constB11)) | (~v154(constB11)))))),
% 9.90/7.47 inference(rewrite,[status(thm)],[])).
% 9.90/7.47 tff(38693,plain,
% 9.90/7.47 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB11) <=> (~((~v154(constB11)) | (~v130(constB11)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB11) <=> (~((~v130(constB11)) | (~v154(constB11))))))),
% 9.90/7.47 inference(monotonicity,[status(thm)],[38692])).
% 9.90/7.47 tff(38694,plain,
% 9.90/7.47 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB11) <=> (~((~v154(constB11)) | (~v130(constB11)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB11) <=> (~((~v130(constB11)) | (~v154(constB11))))))),
% 9.90/7.47 inference(transitivity,[status(thm)],[38693, 38691])).
% 9.90/7.47 tff(38695,plain,
% 9.90/7.47 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB11) <=> (~((~v154(constB11)) | (~v130(constB11)))))),
% 9.90/7.47 inference(quant_inst,[status(thm)],[])).
% 9.90/7.47 tff(38696,plain,
% 9.90/7.47 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB11) <=> (~((~v130(constB11)) | (~v154(constB11)))))),
% 9.90/7.47 inference(modus_ponens,[status(thm)],[38695, 38694])).
% 9.90/7.47 tff(38697,plain,
% 9.90/7.47 (v164(constB11) <=> (~((~v130(constB11)) | (~v154(constB11))))),
% 9.90/7.47 inference(unit_resolution,[status(thm)],[38696, 96])).
% 9.90/7.47 tff(38698,plain,
% 9.90/7.47 ((~![VarNext: $i] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB11) <=> v152(constB11))),
% 9.90/7.47 inference(quant_inst,[status(thm)],[])).
% 9.90/7.47 tff(38699,plain,
% 9.90/7.47 (v130(constB11) <=> v152(constB11)),
% 9.90/7.47 inference(unit_resolution,[status(thm)],[38698, 361])).
% 9.90/7.47 tff(38700,plain,
% 9.90/7.47 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB10, constB11)) | (v152(constB11) <=> v150(constB10)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB10, constB11)) | (v152(constB11) <=> v150(constB10)))),
% 9.90/7.47 inference(rewrite,[status(thm)],[])).
% 9.90/7.47 tff(38701,plain,
% 9.90/7.47 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB10, constB11)) | (v152(constB11) <=> v150(constB10)))),
% 9.90/7.47 inference(quant_inst,[status(thm)],[])).
% 9.90/7.47 tff(38702,plain,
% 9.90/7.47 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB10, constB11)) | (v152(constB11) <=> v150(constB10))),
% 9.90/7.47 inference(modus_ponens,[status(thm)],[38701, 38700])).
% 9.90/7.47 tff(38703,plain,
% 9.90/7.47 (v152(constB11) <=> v150(constB10)),
% 9.90/7.47 inference(unit_resolution,[status(thm)],[38702, 9268, 373])).
% 9.90/7.47 tff(38704,plain,
% 9.90/7.47 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v153(VarCurr) | v155(VarCurr)))) | (v150(constB10) <=> (v153(constB10) | v155(constB10)))),
% 9.90/7.47 inference(quant_inst,[status(thm)],[])).
% 9.90/7.47 tff(38705,plain,
% 9.90/7.47 (v150(constB10) <=> (v153(constB10) | v155(constB10))),
% 9.90/7.47 inference(unit_resolution,[status(thm)],[38704, 387])).
% 9.90/7.47 tff(38706,plain,
% 9.90/7.47 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB10) <=> (~((~v132(constB10)) | (~v154(constB10)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB10) <=> (~((~v132(constB10)) | (~v154(constB10))))))),
% 9.90/7.47 inference(rewrite,[status(thm)],[])).
% 9.90/7.47 tff(38707,plain,
% 9.90/7.47 ((v153(constB10) <=> (~((~v154(constB10)) | (~v132(constB10))))) <=> (v153(constB10) <=> (~((~v132(constB10)) | (~v154(constB10)))))),
% 9.90/7.47 inference(rewrite,[status(thm)],[])).
% 9.90/7.48 tff(38708,plain,
% 9.90/7.48 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB10) <=> (~((~v154(constB10)) | (~v132(constB10)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB10) <=> (~((~v132(constB10)) | (~v154(constB10))))))),
% 9.90/7.48 inference(monotonicity,[status(thm)],[38707])).
% 9.90/7.48 tff(38709,plain,
% 9.90/7.48 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB10) <=> (~((~v154(constB10)) | (~v132(constB10)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB10) <=> (~((~v132(constB10)) | (~v154(constB10))))))),
% 9.90/7.48 inference(transitivity,[status(thm)],[38708, 38706])).
% 9.90/7.48 tff(38710,plain,
% 9.90/7.48 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB10) <=> (~((~v154(constB10)) | (~v132(constB10)))))),
% 9.90/7.48 inference(quant_inst,[status(thm)],[])).
% 9.90/7.48 tff(38711,plain,
% 9.90/7.48 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB10) <=> (~((~v132(constB10)) | (~v154(constB10)))))),
% 9.90/7.48 inference(modus_ponens,[status(thm)],[38710, 38709])).
% 9.90/7.48 tff(38712,plain,
% 9.90/7.48 (v153(constB10) <=> (~((~v132(constB10)) | (~v154(constB10))))),
% 9.90/7.48 inference(unit_resolution,[status(thm)],[38711, 399])).
% 9.90/7.48 tff(38713,plain,
% 9.90/7.48 (((~v132(constB10)) | (~v154(constB10))) | v154(constB10)),
% 9.90/7.48 inference(tautology,[status(thm)],[])).
% 9.90/7.48 tff(38714,plain,
% 9.90/7.48 ((~v132(constB10)) | (~v154(constB10))),
% 9.90/7.48 inference(unit_resolution,[status(thm)],[38713, 28651])).
% 9.90/7.48 tff(38715,plain,
% 9.90/7.48 ((~(v153(constB10) <=> (~((~v132(constB10)) | (~v154(constB10)))))) | (~v153(constB10)) | (~((~v132(constB10)) | (~v154(constB10))))),
% 9.90/7.48 inference(tautology,[status(thm)],[])).
% 9.90/7.48 tff(38716,plain,
% 9.90/7.48 (~v153(constB10)),
% 9.90/7.48 inference(unit_resolution,[status(thm)],[38715, 38714, 38712])).
% 9.90/7.48 tff(38717,plain,
% 9.90/7.48 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB10) <=> (~((~v130(constB10)) | (~v139(constB10)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB10) <=> (~((~v130(constB10)) | (~v139(constB10))))))),
% 9.90/7.48 inference(rewrite,[status(thm)],[])).
% 9.90/7.48 tff(38718,plain,
% 9.90/7.48 ((v155(constB10) <=> (~((~v139(constB10)) | (~v130(constB10))))) <=> (v155(constB10) <=> (~((~v130(constB10)) | (~v139(constB10)))))),
% 9.90/7.48 inference(rewrite,[status(thm)],[])).
% 9.90/7.48 tff(38719,plain,
% 9.90/7.48 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB10) <=> (~((~v139(constB10)) | (~v130(constB10)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB10) <=> (~((~v130(constB10)) | (~v139(constB10))))))),
% 9.90/7.48 inference(monotonicity,[status(thm)],[38718])).
% 9.90/7.48 tff(38720,plain,
% 9.90/7.48 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB10) <=> (~((~v139(constB10)) | (~v130(constB10)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB10) <=> (~((~v130(constB10)) | (~v139(constB10))))))),
% 9.90/7.48 inference(transitivity,[status(thm)],[38719, 38717])).
% 9.90/7.48 tff(38721,plain,
% 9.90/7.48 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB10) <=> (~((~v139(constB10)) | (~v130(constB10)))))),
% 9.90/7.48 inference(quant_inst,[status(thm)],[])).
% 9.90/7.48 tff(38722,plain,
% 9.90/7.48 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB10) <=> (~((~v130(constB10)) | (~v139(constB10)))))),
% 9.90/7.48 inference(modus_ponens,[status(thm)],[38721, 38720])).
% 9.90/7.48 tff(38723,plain,
% 9.90/7.48 (v155(constB10) <=> (~((~v130(constB10)) | (~v139(constB10))))),
% 9.90/7.48 inference(unit_resolution,[status(thm)],[38722, 447])).
% 9.90/7.48 tff(38724,plain,
% 9.90/7.48 ((~![VarNext: $i] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB10) <=> v152(constB10))),
% 9.90/7.48 inference(quant_inst,[status(thm)],[])).
% 9.90/7.48 tff(38725,plain,
% 9.90/7.48 (v130(constB10) <=> v152(constB10)),
% 9.90/7.48 inference(unit_resolution,[status(thm)],[38724, 361])).
% 9.90/7.48 tff(38726,plain,
% 9.90/7.48 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB9, constB10)) | (v152(constB10) <=> v150(constB9)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB9, constB10)) | (v152(constB10) <=> v150(constB9)))),
% 9.90/7.48 inference(rewrite,[status(thm)],[])).
% 9.90/7.48 tff(38727,plain,
% 9.90/7.48 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB9, constB10)) | (v152(constB10) <=> v150(constB9)))),
% 9.90/7.48 inference(quant_inst,[status(thm)],[])).
% 9.90/7.48 tff(38728,plain,
% 9.90/7.48 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB9, constB10)) | (v152(constB10) <=> v150(constB9))),
% 9.90/7.48 inference(modus_ponens,[status(thm)],[38727, 38726])).
% 9.90/7.48 tff(38729,plain,
% 9.90/7.48 (v152(constB10) <=> v150(constB9)),
% 9.90/7.48 inference(unit_resolution,[status(thm)],[38728, 9300, 373])).
% 9.90/7.48 tff(38730,plain,
% 9.90/7.48 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v153(VarCurr) | v155(VarCurr)))) | (v150(constB9) <=> (v153(constB9) | v155(constB9)))),
% 9.90/7.48 inference(quant_inst,[status(thm)],[])).
% 9.90/7.48 tff(38731,plain,
% 9.90/7.48 (v150(constB9) <=> (v153(constB9) | v155(constB9))),
% 9.90/7.48 inference(unit_resolution,[status(thm)],[38730, 387])).
% 9.90/7.48 tff(38732,plain,
% 9.90/7.48 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB9) <=> (~((~v130(constB9)) | (~v139(constB9)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB9) <=> (~((~v130(constB9)) | (~v139(constB9))))))),
% 9.90/7.48 inference(rewrite,[status(thm)],[])).
% 9.90/7.48 tff(38733,plain,
% 9.90/7.48 ((v155(constB9) <=> (~((~v139(constB9)) | (~v130(constB9))))) <=> (v155(constB9) <=> (~((~v130(constB9)) | (~v139(constB9)))))),
% 9.90/7.48 inference(rewrite,[status(thm)],[])).
% 9.90/7.48 tff(38734,plain,
% 9.90/7.48 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB9) <=> (~((~v139(constB9)) | (~v130(constB9)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB9) <=> (~((~v130(constB9)) | (~v139(constB9))))))),
% 9.90/7.48 inference(monotonicity,[status(thm)],[38733])).
% 9.90/7.48 tff(38735,plain,
% 9.90/7.48 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB9) <=> (~((~v139(constB9)) | (~v130(constB9)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB9) <=> (~((~v130(constB9)) | (~v139(constB9))))))),
% 9.90/7.48 inference(transitivity,[status(thm)],[38734, 38732])).
% 9.90/7.48 tff(38736,plain,
% 9.90/7.48 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB9) <=> (~((~v139(constB9)) | (~v130(constB9)))))),
% 9.90/7.48 inference(quant_inst,[status(thm)],[])).
% 9.90/7.48 tff(38737,plain,
% 9.90/7.48 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB9) <=> (~((~v130(constB9)) | (~v139(constB9)))))),
% 9.90/7.48 inference(modus_ponens,[status(thm)],[38736, 38735])).
% 9.90/7.48 tff(38738,plain,
% 9.90/7.48 (v155(constB9) <=> (~((~v130(constB9)) | (~v139(constB9))))),
% 9.90/7.48 inference(unit_resolution,[status(thm)],[38737, 447])).
% 9.90/7.48 tff(38739,plain,
% 9.90/7.48 (((~v130(constB9)) | (~v139(constB9))) | v139(constB9)),
% 9.90/7.48 inference(tautology,[status(thm)],[])).
% 9.90/7.48 tff(38740,plain,
% 9.90/7.48 ((~v130(constB9)) | (~v139(constB9))),
% 9.90/7.48 inference(unit_resolution,[status(thm)],[38739, 28739])).
% 9.90/7.48 tff(38741,plain,
% 9.90/7.48 ((~(v155(constB9) <=> (~((~v130(constB9)) | (~v139(constB9)))))) | (~v155(constB9)) | (~((~v130(constB9)) | (~v139(constB9))))),
% 9.90/7.48 inference(tautology,[status(thm)],[])).
% 9.90/7.48 tff(38742,plain,
% 9.90/7.48 (~v155(constB9)),
% 9.90/7.48 inference(unit_resolution,[status(thm)],[38741, 38740, 38738])).
% 9.90/7.48 tff(38743,plain,
% 9.90/7.48 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB9) <=> (~((~v132(constB9)) | (~v154(constB9)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB9) <=> (~((~v132(constB9)) | (~v154(constB9))))))),
% 9.90/7.48 inference(rewrite,[status(thm)],[])).
% 9.90/7.48 tff(38744,plain,
% 9.90/7.48 ((v153(constB9) <=> (~((~v154(constB9)) | (~v132(constB9))))) <=> (v153(constB9) <=> (~((~v132(constB9)) | (~v154(constB9)))))),
% 9.90/7.48 inference(rewrite,[status(thm)],[])).
% 9.90/7.48 tff(38745,plain,
% 9.90/7.48 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB9) <=> (~((~v154(constB9)) | (~v132(constB9)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB9) <=> (~((~v132(constB9)) | (~v154(constB9))))))),
% 9.90/7.48 inference(monotonicity,[status(thm)],[38744])).
% 9.90/7.48 tff(38746,plain,
% 9.90/7.48 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB9) <=> (~((~v154(constB9)) | (~v132(constB9)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB9) <=> (~((~v132(constB9)) | (~v154(constB9))))))),
% 9.90/7.48 inference(transitivity,[status(thm)],[38745, 38743])).
% 9.90/7.48 tff(38747,plain,
% 9.90/7.48 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB9) <=> (~((~v154(constB9)) | (~v132(constB9)))))),
% 9.90/7.48 inference(quant_inst,[status(thm)],[])).
% 9.90/7.48 tff(38748,plain,
% 9.90/7.48 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB9) <=> (~((~v132(constB9)) | (~v154(constB9)))))),
% 9.90/7.48 inference(modus_ponens,[status(thm)],[38747, 38746])).
% 9.90/7.48 tff(38749,plain,
% 9.90/7.48 (v153(constB9) <=> (~((~v132(constB9)) | (~v154(constB9))))),
% 9.90/7.48 inference(unit_resolution,[status(thm)],[38748, 399])).
% 9.90/7.48 tff(38750,plain,
% 9.90/7.48 ((~![VarNext: $i] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB9) <=> v137(constB9))),
% 9.90/7.48 inference(quant_inst,[status(thm)],[])).
% 9.90/7.48 tff(38751,plain,
% 9.90/7.48 (v132(constB9) <=> v137(constB9)),
% 9.90/7.48 inference(unit_resolution,[status(thm)],[38750, 558])).
% 9.90/7.48 tff(38752,plain,
% 9.90/7.48 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB8, constB9)) | (v137(constB9) <=> v135(constB8)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB8, constB9)) | (v137(constB9) <=> v135(constB8)))),
% 9.90/7.48 inference(rewrite,[status(thm)],[])).
% 9.90/7.48 tff(38753,plain,
% 9.90/7.48 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB8, constB9)) | (v137(constB9) <=> v135(constB8)))),
% 9.90/7.48 inference(quant_inst,[status(thm)],[])).
% 9.90/7.48 tff(38754,plain,
% 9.90/7.48 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB8, constB9)) | (v137(constB9) <=> v135(constB8))),
% 9.90/7.48 inference(modus_ponens,[status(thm)],[38753, 38752])).
% 9.90/7.48 tff(38755,plain,
% 9.90/7.48 (v137(constB9) <=> v135(constB8)),
% 9.90/7.48 inference(unit_resolution,[status(thm)],[38754, 9359, 570])).
% 9.90/7.48 tff(38756,plain,
% 9.90/7.48 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB8) <=> (v138(constB8) | v142(constB8)))),
% 9.90/7.48 inference(quant_inst,[status(thm)],[])).
% 9.90/7.48 tff(38757,plain,
% 9.90/7.48 (v135(constB8) <=> (v138(constB8) | v142(constB8))),
% 9.90/7.48 inference(unit_resolution,[status(thm)],[38756, 584])).
% 9.90/7.48 tff(38758,plain,
% 9.90/7.48 ((~![VarCurr: $i] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB8) <=> (~((~v143(constB8)) | (~v144(constB8)))))),
% 9.90/7.48 inference(quant_inst,[status(thm)],[])).
% 9.90/7.48 tff(38759,plain,
% 9.90/7.48 (v142(constB8) <=> (~((~v143(constB8)) | (~v144(constB8))))),
% 9.90/7.48 inference(unit_resolution,[status(thm)],[38758, 596])).
% 9.90/7.48 tff(38760,plain,
% 9.90/7.48 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB8) <=> (~((~v141(constB8)) | (~v145(constB8)))))),
% 9.90/7.48 inference(quant_inst,[status(thm)],[])).
% 9.90/7.48 tff(38761,plain,
% 9.90/7.48 (v144(constB8) <=> (~((~v141(constB8)) | (~v145(constB8))))),
% 9.90/7.48 inference(unit_resolution,[status(thm)],[38760, 608])).
% 9.90/7.48 tff(38762,plain,
% 9.90/7.48 (((~v141(constB8)) | (~v145(constB8))) | v141(constB8)),
% 9.90/7.48 inference(tautology,[status(thm)],[])).
% 9.90/7.48 tff(38763,plain,
% 9.90/7.48 ((~v141(constB8)) | (~v145(constB8))),
% 9.90/7.48 inference(unit_resolution,[status(thm)],[38762, 28784])).
% 9.90/7.48 tff(38764,plain,
% 9.90/7.48 ((~(v144(constB8) <=> (~((~v141(constB8)) | (~v145(constB8)))))) | (~v144(constB8)) | (~((~v141(constB8)) | (~v145(constB8))))),
% 9.90/7.48 inference(tautology,[status(thm)],[])).
% 9.90/7.48 tff(38765,plain,
% 9.90/7.48 ((~(v144(constB8) <=> (~((~v141(constB8)) | (~v145(constB8)))))) | (~v144(constB8))),
% 9.90/7.48 inference(unit_resolution,[status(thm)],[38764, 38763])).
% 9.90/7.48 tff(38766,plain,
% 9.90/7.48 (~v144(constB8)),
% 9.90/7.48 inference(unit_resolution,[status(thm)],[38765, 38761])).
% 9.90/7.48 tff(38767,plain,
% 9.90/7.48 (((~v143(constB8)) | (~v144(constB8))) | v144(constB8)),
% 9.90/7.48 inference(tautology,[status(thm)],[])).
% 9.90/7.48 tff(38768,plain,
% 9.90/7.48 ((~v143(constB8)) | (~v144(constB8))),
% 9.90/7.48 inference(unit_resolution,[status(thm)],[38767, 38766])).
% 9.90/7.48 tff(38769,plain,
% 9.90/7.48 ((~(v142(constB8) <=> (~((~v143(constB8)) | (~v144(constB8)))))) | (~v142(constB8)) | (~((~v143(constB8)) | (~v144(constB8))))),
% 9.90/7.48 inference(tautology,[status(thm)],[])).
% 9.90/7.48 tff(38770,plain,
% 9.90/7.48 (~v142(constB8)),
% 9.90/7.48 inference(unit_resolution,[status(thm)],[38769, 38768, 38759])).
% 9.90/7.48 tff(38771,plain,
% 9.90/7.48 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB8) <=> (~((~v132(constB8)) | (~v139(constB8)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB8) <=> (~((~v132(constB8)) | (~v139(constB8))))))),
% 9.90/7.48 inference(rewrite,[status(thm)],[])).
% 9.90/7.48 tff(38772,plain,
% 9.90/7.48 ((v138(constB8) <=> (~((~v139(constB8)) | (~v132(constB8))))) <=> (v138(constB8) <=> (~((~v132(constB8)) | (~v139(constB8)))))),
% 9.90/7.48 inference(rewrite,[status(thm)],[])).
% 9.90/7.48 tff(38773,plain,
% 9.90/7.48 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB8) <=> (~((~v139(constB8)) | (~v132(constB8)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB8) <=> (~((~v132(constB8)) | (~v139(constB8))))))),
% 9.90/7.48 inference(monotonicity,[status(thm)],[38772])).
% 9.90/7.48 tff(38774,plain,
% 9.90/7.48 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB8) <=> (~((~v139(constB8)) | (~v132(constB8)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB8) <=> (~((~v132(constB8)) | (~v139(constB8))))))),
% 9.90/7.48 inference(transitivity,[status(thm)],[38773, 38771])).
% 9.90/7.48 tff(38775,plain,
% 9.90/7.48 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB8) <=> (~((~v139(constB8)) | (~v132(constB8)))))),
% 9.90/7.48 inference(quant_inst,[status(thm)],[])).
% 9.90/7.48 tff(38776,plain,
% 9.90/7.48 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB8) <=> (~((~v132(constB8)) | (~v139(constB8)))))),
% 9.90/7.48 inference(modus_ponens,[status(thm)],[38775, 38774])).
% 9.90/7.48 tff(38777,plain,
% 9.90/7.48 (v138(constB8) <=> (~((~v132(constB8)) | (~v139(constB8))))),
% 9.90/7.48 inference(unit_resolution,[status(thm)],[38776, 644])).
% 9.90/7.48 tff(38778,plain,
% 9.90/7.48 ((~![VarNext: $i] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB8) <=> v137(constB8))),
% 9.90/7.48 inference(quant_inst,[status(thm)],[])).
% 9.90/7.48 tff(38779,plain,
% 9.90/7.48 (v132(constB8) <=> v137(constB8)),
% 9.90/7.48 inference(unit_resolution,[status(thm)],[38778, 558])).
% 9.90/7.48 tff(38780,plain,
% 9.90/7.48 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB7, constB8)) | (v137(constB8) <=> v135(constB7)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB7, constB8)) | (v137(constB8) <=> v135(constB7)))),
% 9.90/7.48 inference(rewrite,[status(thm)],[])).
% 9.90/7.48 tff(38781,plain,
% 9.90/7.48 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB7, constB8)) | (v137(constB8) <=> v135(constB7)))),
% 9.90/7.48 inference(quant_inst,[status(thm)],[])).
% 9.90/7.48 tff(38782,plain,
% 9.90/7.48 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB7, constB8)) | (v137(constB8) <=> v135(constB7))),
% 9.90/7.48 inference(modus_ponens,[status(thm)],[38781, 38780])).
% 9.90/7.48 tff(38783,plain,
% 9.90/7.48 (v137(constB8) <=> v135(constB7)),
% 9.90/7.48 inference(unit_resolution,[status(thm)],[38782, 9391, 570])).
% 9.90/7.48 tff(38784,plain,
% 9.90/7.48 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB7) <=> (v138(constB7) | v142(constB7)))),
% 9.90/7.48 inference(quant_inst,[status(thm)],[])).
% 9.90/7.48 tff(38785,plain,
% 9.90/7.48 (v135(constB7) <=> (v138(constB7) | v142(constB7))),
% 9.90/7.48 inference(unit_resolution,[status(thm)],[38784, 584])).
% 9.90/7.48 tff(38786,plain,
% 9.90/7.48 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB7) <=> (~((~v132(constB7)) | (~v139(constB7)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB7) <=> (~((~v132(constB7)) | (~v139(constB7))))))),
% 9.90/7.48 inference(rewrite,[status(thm)],[])).
% 9.90/7.48 tff(38787,plain,
% 9.90/7.48 ((v138(constB7) <=> (~((~v139(constB7)) | (~v132(constB7))))) <=> (v138(constB7) <=> (~((~v132(constB7)) | (~v139(constB7)))))),
% 9.90/7.48 inference(rewrite,[status(thm)],[])).
% 9.90/7.48 tff(38788,plain,
% 9.90/7.48 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB7) <=> (~((~v139(constB7)) | (~v132(constB7)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB7) <=> (~((~v132(constB7)) | (~v139(constB7))))))),
% 9.90/7.48 inference(monotonicity,[status(thm)],[38787])).
% 9.90/7.48 tff(38789,plain,
% 9.90/7.48 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB7) <=> (~((~v139(constB7)) | (~v132(constB7)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB7) <=> (~((~v132(constB7)) | (~v139(constB7))))))),
% 9.90/7.48 inference(transitivity,[status(thm)],[38788, 38786])).
% 9.90/7.48 tff(38790,plain,
% 9.90/7.48 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB7) <=> (~((~v139(constB7)) | (~v132(constB7)))))),
% 9.90/7.48 inference(quant_inst,[status(thm)],[])).
% 9.90/7.48 tff(38791,plain,
% 9.90/7.48 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB7) <=> (~((~v132(constB7)) | (~v139(constB7)))))),
% 9.90/7.48 inference(modus_ponens,[status(thm)],[38790, 38789])).
% 9.90/7.48 tff(38792,plain,
% 9.90/7.48 (v138(constB7) <=> (~((~v132(constB7)) | (~v139(constB7))))),
% 9.90/7.48 inference(unit_resolution,[status(thm)],[38791, 644])).
% 9.90/7.48 tff(38793,plain,
% 9.90/7.48 (((~v132(constB7)) | (~v139(constB7))) | v139(constB7)),
% 9.90/7.48 inference(tautology,[status(thm)],[])).
% 9.90/7.48 tff(38794,plain,
% 9.90/7.48 ((~v132(constB7)) | (~v139(constB7))),
% 9.90/7.48 inference(unit_resolution,[status(thm)],[38793, 28877])).
% 9.90/7.48 tff(38795,plain,
% 9.90/7.48 ((~(v138(constB7) <=> (~((~v132(constB7)) | (~v139(constB7)))))) | (~v138(constB7)) | (~((~v132(constB7)) | (~v139(constB7))))),
% 9.90/7.48 inference(tautology,[status(thm)],[])).
% 9.90/7.48 tff(38796,plain,
% 9.90/7.48 (~v138(constB7)),
% 9.90/7.48 inference(unit_resolution,[status(thm)],[38795, 38794, 38792])).
% 9.90/7.48 tff(38797,plain,
% 9.90/7.48 ((~![VarCurr: $i] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB7) <=> (~((~v143(constB7)) | (~v144(constB7)))))),
% 9.90/7.48 inference(quant_inst,[status(thm)],[])).
% 9.90/7.48 tff(38798,plain,
% 9.90/7.48 (v142(constB7) <=> (~((~v143(constB7)) | (~v144(constB7))))),
% 9.90/7.48 inference(unit_resolution,[status(thm)],[38797, 596])).
% 9.90/7.48 tff(38799,plain,
% 9.90/7.48 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB7) <=> (~((~v141(constB7)) | (~v145(constB7)))))),
% 9.90/7.48 inference(quant_inst,[status(thm)],[])).
% 9.90/7.48 tff(38800,plain,
% 9.90/7.48 (v144(constB7) <=> (~((~v141(constB7)) | (~v145(constB7))))),
% 9.90/7.48 inference(unit_resolution,[status(thm)],[38799, 608])).
% 9.90/7.48 tff(38801,plain,
% 9.90/7.48 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB7) <=> (~(v84(constB7, bitIndex2) | v84(constB7, bitIndex1) | (~v84(constB7, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB7) <=> (~(v84(constB7, bitIndex2) | v84(constB7, bitIndex1) | (~v84(constB7, bitIndex0))))))),
% 9.90/7.48 inference(rewrite,[status(thm)],[])).
% 9.90/7.48 tff(38802,plain,
% 9.90/7.48 ((v145(constB7) <=> (~(v84(constB7, bitIndex1) | v84(constB7, bitIndex2) | (~v84(constB7, bitIndex0))))) <=> (v145(constB7) <=> (~(v84(constB7, bitIndex2) | v84(constB7, bitIndex1) | (~v84(constB7, bitIndex0)))))),
% 9.90/7.48 inference(rewrite,[status(thm)],[])).
% 9.90/7.48 tff(38803,plain,
% 9.90/7.48 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB7) <=> (~(v84(constB7, bitIndex1) | v84(constB7, bitIndex2) | (~v84(constB7, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB7) <=> (~(v84(constB7, bitIndex2) | v84(constB7, bitIndex1) | (~v84(constB7, bitIndex0))))))),
% 9.90/7.48 inference(monotonicity,[status(thm)],[38802])).
% 9.90/7.48 tff(38804,plain,
% 9.90/7.48 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB7) <=> (~(v84(constB7, bitIndex1) | v84(constB7, bitIndex2) | (~v84(constB7, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB7) <=> (~(v84(constB7, bitIndex2) | v84(constB7, bitIndex1) | (~v84(constB7, bitIndex0))))))),
% 9.90/7.48 inference(transitivity,[status(thm)],[38803, 38801])).
% 9.90/7.48 tff(38805,plain,
% 9.90/7.48 ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB7) <=> (~(v84(constB7, bitIndex1) | v84(constB7, bitIndex2) | (~v84(constB7, bitIndex0)))))),
% 9.90/7.48 inference(quant_inst,[status(thm)],[])).
% 9.90/7.48 tff(38806,plain,
% 9.90/7.48 ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB7) <=> (~(v84(constB7, bitIndex2) | v84(constB7, bitIndex1) | (~v84(constB7, bitIndex0)))))),
% 9.90/7.48 inference(modus_ponens,[status(thm)],[38805, 38804])).
% 9.90/7.48 tff(38807,plain,
% 9.90/7.48 (v145(constB7) <=> (~(v84(constB7, bitIndex2) | v84(constB7, bitIndex1) | (~v84(constB7, bitIndex0))))),
% 9.90/7.48 inference(unit_resolution,[status(thm)],[38806, 755])).
% 9.90/7.48 tff(38808,plain,
% 9.90/7.48 ((v84(constB7, bitIndex2) | v84(constB7, bitIndex1) | (~v84(constB7, bitIndex0))) | (~v84(constB7, bitIndex1))),
% 9.90/7.48 inference(tautology,[status(thm)],[])).
% 9.90/7.48 tff(38809,plain,
% 9.90/7.48 (v84(constB7, bitIndex2) | v84(constB7, bitIndex1) | (~v84(constB7, bitIndex0))),
% 9.90/7.48 inference(unit_resolution,[status(thm)],[38808, 10420])).
% 9.90/7.48 tff(38810,plain,
% 9.90/7.48 ((~(v145(constB7) <=> (~(v84(constB7, bitIndex2) | v84(constB7, bitIndex1) | (~v84(constB7, bitIndex0)))))) | (~v145(constB7)) | (~(v84(constB7, bitIndex2) | v84(constB7, bitIndex1) | (~v84(constB7, bitIndex0))))),
% 9.90/7.48 inference(tautology,[status(thm)],[])).
% 9.90/7.48 tff(38811,plain,
% 9.90/7.48 (~v145(constB7)),
% 9.90/7.48 inference(unit_resolution,[status(thm)],[38810, 38809, 38807])).
% 9.90/7.48 tff(38812,plain,
% 9.90/7.48 (((~v141(constB7)) | (~v145(constB7))) | v145(constB7)),
% 9.90/7.48 inference(tautology,[status(thm)],[])).
% 9.90/7.48 tff(38813,plain,
% 9.90/7.48 ((~v141(constB7)) | (~v145(constB7))),
% 9.90/7.48 inference(unit_resolution,[status(thm)],[38812, 38811])).
% 9.90/7.48 tff(38814,plain,
% 9.90/7.48 ((~(v144(constB7) <=> (~((~v141(constB7)) | (~v145(constB7)))))) | (~v144(constB7)) | (~((~v141(constB7)) | (~v145(constB7))))),
% 9.90/7.48 inference(tautology,[status(thm)],[])).
% 9.90/7.48 tff(38815,plain,
% 9.90/7.48 (~v144(constB7)),
% 9.90/7.48 inference(unit_resolution,[status(thm)],[38814, 38813, 38800])).
% 9.90/7.48 tff(38816,plain,
% 9.90/7.48 (((~v143(constB7)) | (~v144(constB7))) | v144(constB7)),
% 9.90/7.48 inference(tautology,[status(thm)],[])).
% 9.90/7.48 tff(38817,plain,
% 9.90/7.48 ((~v143(constB7)) | (~v144(constB7))),
% 9.90/7.48 inference(unit_resolution,[status(thm)],[38816, 38815])).
% 9.90/7.48 tff(38818,plain,
% 9.90/7.48 ((~(v142(constB7) <=> (~((~v143(constB7)) | (~v144(constB7)))))) | (~v142(constB7)) | (~((~v143(constB7)) | (~v144(constB7))))),
% 9.90/7.48 inference(tautology,[status(thm)],[])).
% 9.90/7.48 tff(38819,plain,
% 9.90/7.48 (~v142(constB7)),
% 9.90/7.48 inference(unit_resolution,[status(thm)],[38818, 38817, 38798])).
% 9.90/7.48 tff(38820,plain,
% 9.90/7.48 ((~(v138(constB7) | v142(constB7))) | v138(constB7) | v142(constB7)),
% 9.90/7.48 inference(tautology,[status(thm)],[])).
% 9.90/7.48 tff(38821,plain,
% 9.90/7.48 (~(v138(constB7) | v142(constB7))),
% 9.90/7.48 inference(unit_resolution,[status(thm)],[38820, 38819, 38796])).
% 9.90/7.48 tff(38822,plain,
% 9.90/7.48 ((~(v135(constB7) <=> (v138(constB7) | v142(constB7)))) | (~v135(constB7)) | (v138(constB7) | v142(constB7))),
% 9.90/7.48 inference(tautology,[status(thm)],[])).
% 9.90/7.48 tff(38823,plain,
% 9.90/7.48 (~v135(constB7)),
% 9.90/7.48 inference(unit_resolution,[status(thm)],[38822, 38821, 38785])).
% 9.90/7.48 tff(38824,plain,
% 9.90/7.48 ((~(v137(constB8) <=> v135(constB7))) | (~v137(constB8)) | v135(constB7)),
% 9.90/7.48 inference(tautology,[status(thm)],[])).
% 9.90/7.48 tff(38825,plain,
% 9.90/7.48 (~v137(constB8)),
% 9.90/7.48 inference(unit_resolution,[status(thm)],[38824, 38823, 38783])).
% 9.90/7.48 tff(38826,plain,
% 9.90/7.48 ((~(v132(constB8) <=> v137(constB8))) | (~v132(constB8)) | v137(constB8)),
% 9.90/7.48 inference(tautology,[status(thm)],[])).
% 9.90/7.48 tff(38827,plain,
% 9.90/7.48 (~v132(constB8)),
% 9.90/7.48 inference(unit_resolution,[status(thm)],[38826, 38825, 38779])).
% 9.90/7.48 tff(38828,plain,
% 9.90/7.48 (((~v132(constB8)) | (~v139(constB8))) | v132(constB8)),
% 9.90/7.48 inference(tautology,[status(thm)],[])).
% 9.90/7.48 tff(38829,plain,
% 9.90/7.48 ((~v132(constB8)) | (~v139(constB8))),
% 9.90/7.48 inference(unit_resolution,[status(thm)],[38828, 38827])).
% 9.90/7.48 tff(38830,plain,
% 9.90/7.48 ((~(v138(constB8) <=> (~((~v132(constB8)) | (~v139(constB8)))))) | (~v138(constB8)) | (~((~v132(constB8)) | (~v139(constB8))))),
% 9.90/7.48 inference(tautology,[status(thm)],[])).
% 9.90/7.48 tff(38831,plain,
% 9.90/7.48 (~v138(constB8)),
% 9.90/7.48 inference(unit_resolution,[status(thm)],[38830, 38829, 38777])).
% 9.90/7.48 tff(38832,plain,
% 9.90/7.48 ((~(v138(constB8) | v142(constB8))) | v138(constB8) | v142(constB8)),
% 9.90/7.48 inference(tautology,[status(thm)],[])).
% 9.90/7.48 tff(38833,plain,
% 9.90/7.48 (~(v138(constB8) | v142(constB8))),
% 9.90/7.48 inference(unit_resolution,[status(thm)],[38832, 38831, 38770])).
% 9.90/7.48 tff(38834,plain,
% 9.90/7.48 ((~(v135(constB8) <=> (v138(constB8) | v142(constB8)))) | (~v135(constB8)) | (v138(constB8) | v142(constB8))),
% 9.90/7.48 inference(tautology,[status(thm)],[])).
% 9.90/7.48 tff(38835,plain,
% 9.90/7.48 (~v135(constB8)),
% 9.90/7.48 inference(unit_resolution,[status(thm)],[38834, 38833, 38757])).
% 9.90/7.48 tff(38836,plain,
% 9.90/7.48 ((~(v137(constB9) <=> v135(constB8))) | (~v137(constB9)) | v135(constB8)),
% 9.90/7.48 inference(tautology,[status(thm)],[])).
% 9.90/7.48 tff(38837,plain,
% 9.90/7.48 (~v137(constB9)),
% 9.90/7.48 inference(unit_resolution,[status(thm)],[38836, 38835, 38755])).
% 9.90/7.48 tff(38838,plain,
% 9.90/7.48 ((~(v132(constB9) <=> v137(constB9))) | (~v132(constB9)) | v137(constB9)),
% 9.90/7.48 inference(tautology,[status(thm)],[])).
% 9.90/7.48 tff(38839,plain,
% 9.90/7.48 (~v132(constB9)),
% 9.90/7.48 inference(unit_resolution,[status(thm)],[38838, 38837, 38751])).
% 9.90/7.48 tff(38840,plain,
% 9.90/7.48 (((~v132(constB9)) | (~v154(constB9))) | v132(constB9)),
% 9.90/7.48 inference(tautology,[status(thm)],[])).
% 9.90/7.48 tff(38841,plain,
% 9.90/7.48 ((~v132(constB9)) | (~v154(constB9))),
% 9.90/7.48 inference(unit_resolution,[status(thm)],[38840, 38839])).
% 9.90/7.48 tff(38842,plain,
% 9.90/7.48 ((~(v153(constB9) <=> (~((~v132(constB9)) | (~v154(constB9)))))) | (~v153(constB9)) | (~((~v132(constB9)) | (~v154(constB9))))),
% 9.90/7.48 inference(tautology,[status(thm)],[])).
% 9.90/7.48 tff(38843,plain,
% 9.90/7.48 (~v153(constB9)),
% 9.90/7.48 inference(unit_resolution,[status(thm)],[38842, 38841, 38749])).
% 9.90/7.48 tff(38844,plain,
% 9.90/7.48 ((~(v153(constB9) | v155(constB9))) | v153(constB9) | v155(constB9)),
% 9.90/7.48 inference(tautology,[status(thm)],[])).
% 9.90/7.48 tff(38845,plain,
% 9.90/7.48 (~(v153(constB9) | v155(constB9))),
% 9.90/7.48 inference(unit_resolution,[status(thm)],[38844, 38843, 38742])).
% 9.90/7.48 tff(38846,plain,
% 9.90/7.48 ((~(v150(constB9) <=> (v153(constB9) | v155(constB9)))) | (~v150(constB9)) | (v153(constB9) | v155(constB9))),
% 9.90/7.48 inference(tautology,[status(thm)],[])).
% 9.90/7.48 tff(38847,plain,
% 9.90/7.48 (~v150(constB9)),
% 9.90/7.48 inference(unit_resolution,[status(thm)],[38846, 38845, 38731])).
% 9.90/7.48 tff(38848,plain,
% 9.90/7.48 ((~(v152(constB10) <=> v150(constB9))) | (~v152(constB10)) | v150(constB9)),
% 9.90/7.48 inference(tautology,[status(thm)],[])).
% 9.90/7.48 tff(38849,plain,
% 9.90/7.48 (~v152(constB10)),
% 9.90/7.48 inference(unit_resolution,[status(thm)],[38848, 38847, 38729])).
% 9.90/7.48 tff(38850,plain,
% 9.90/7.48 ((~(v130(constB10) <=> v152(constB10))) | (~v130(constB10)) | v152(constB10)),
% 9.90/7.48 inference(tautology,[status(thm)],[])).
% 9.90/7.48 tff(38851,plain,
% 9.90/7.48 (~v130(constB10)),
% 9.90/7.48 inference(unit_resolution,[status(thm)],[38850, 38849, 38725])).
% 9.90/7.48 tff(38852,plain,
% 9.90/7.48 (((~v130(constB10)) | (~v139(constB10))) | v130(constB10)),
% 9.90/7.48 inference(tautology,[status(thm)],[])).
% 9.90/7.48 tff(38853,plain,
% 9.90/7.48 ((~v130(constB10)) | (~v139(constB10))),
% 9.90/7.48 inference(unit_resolution,[status(thm)],[38852, 38851])).
% 9.90/7.48 tff(38854,plain,
% 9.90/7.48 ((~(v155(constB10) <=> (~((~v130(constB10)) | (~v139(constB10)))))) | (~v155(constB10)) | (~((~v130(constB10)) | (~v139(constB10))))),
% 9.90/7.48 inference(tautology,[status(thm)],[])).
% 9.90/7.48 tff(38855,plain,
% 9.90/7.48 (~v155(constB10)),
% 9.90/7.48 inference(unit_resolution,[status(thm)],[38854, 38853, 38723])).
% 9.90/7.48 tff(38856,plain,
% 9.90/7.48 ((~(v153(constB10) | v155(constB10))) | v153(constB10) | v155(constB10)),
% 9.90/7.48 inference(tautology,[status(thm)],[])).
% 9.90/7.48 tff(38857,plain,
% 9.90/7.48 (~(v153(constB10) | v155(constB10))),
% 9.90/7.48 inference(unit_resolution,[status(thm)],[38856, 38855, 38716])).
% 9.90/7.48 tff(38858,plain,
% 9.90/7.48 ((~(v150(constB10) <=> (v153(constB10) | v155(constB10)))) | (~v150(constB10)) | (v153(constB10) | v155(constB10))),
% 9.90/7.48 inference(tautology,[status(thm)],[])).
% 9.90/7.48 tff(38859,plain,
% 9.90/7.48 (~v150(constB10)),
% 9.90/7.48 inference(unit_resolution,[status(thm)],[38858, 38857, 38705])).
% 9.90/7.48 tff(38860,plain,
% 9.90/7.48 ((~(v152(constB11) <=> v150(constB10))) | (~v152(constB11)) | v150(constB10)),
% 9.90/7.48 inference(tautology,[status(thm)],[])).
% 9.90/7.48 tff(38861,plain,
% 9.90/7.48 (~v152(constB11)),
% 9.90/7.48 inference(unit_resolution,[status(thm)],[38860, 38859, 38703])).
% 9.90/7.48 tff(38862,plain,
% 9.90/7.48 ((~(v130(constB11) <=> v152(constB11))) | (~v130(constB11)) | v152(constB11)),
% 9.90/7.48 inference(tautology,[status(thm)],[])).
% 9.90/7.48 tff(38863,plain,
% 9.90/7.48 (~v130(constB11)),
% 9.90/7.48 inference(unit_resolution,[status(thm)],[38862, 38861, 38699])).
% 9.90/7.48 tff(38864,plain,
% 9.90/7.48 (((~v130(constB11)) | (~v154(constB11))) | v130(constB11)),
% 9.90/7.48 inference(tautology,[status(thm)],[])).
% 9.90/7.48 tff(38865,plain,
% 9.90/7.48 ((~v130(constB11)) | (~v154(constB11))),
% 9.90/7.48 inference(unit_resolution,[status(thm)],[38864, 38863])).
% 9.90/7.48 tff(38866,plain,
% 9.90/7.48 ((~(v164(constB11) <=> (~((~v130(constB11)) | (~v154(constB11)))))) | (~v164(constB11)) | (~((~v130(constB11)) | (~v154(constB11))))),
% 9.90/7.48 inference(tautology,[status(thm)],[])).
% 9.90/7.48 tff(38867,plain,
% 9.90/7.48 (~v164(constB11)),
% 9.90/7.48 inference(unit_resolution,[status(thm)],[38866, 38865, 38697])).
% 9.90/7.48 tff(38868,plain,
% 9.90/7.48 ((~(v163(constB11) | v164(constB11))) | v163(constB11) | v164(constB11)),
% 9.90/7.48 inference(tautology,[status(thm)],[])).
% 9.90/7.48 tff(38869,plain,
% 9.90/7.48 (~(v163(constB11) | v164(constB11))),
% 9.90/7.48 inference(unit_resolution,[status(thm)],[38868, 38867, 38690])).
% 9.90/7.48 tff(38870,plain,
% 9.90/7.48 ((~(v160(constB11) <=> (v163(constB11) | v164(constB11)))) | (~v160(constB11)) | (v163(constB11) | v164(constB11))),
% 9.90/7.48 inference(tautology,[status(thm)],[])).
% 9.90/7.48 tff(38871,plain,
% 9.90/7.48 (~v160(constB11)),
% 9.90/7.48 inference(unit_resolution,[status(thm)],[38870, 38869, 38679])).
% 9.90/7.48 tff(38872,plain,
% 9.90/7.48 ((~(v162(constB12) <=> v160(constB11))) | (~v162(constB12)) | v160(constB11)),
% 9.90/7.48 inference(tautology,[status(thm)],[])).
% 9.90/7.48 tff(38873,plain,
% 9.90/7.48 (~v162(constB12)),
% 9.90/7.48 inference(unit_resolution,[status(thm)],[38872, 38871, 38677])).
% 9.90/7.48 tff(38874,plain,
% 9.90/7.48 ((~(v128(constB12) <=> v162(constB12))) | (~v128(constB12)) | v162(constB12)),
% 9.90/7.48 inference(tautology,[status(thm)],[])).
% 9.90/7.48 tff(38875,plain,
% 9.90/7.48 (~v128(constB12)),
% 9.90/7.48 inference(unit_resolution,[status(thm)],[38874, 38873, 38673])).
% 9.90/7.48 tff(38876,plain,
% 9.90/7.48 (((~v128(constB12)) | (~v139(constB12))) | v128(constB12)),
% 9.90/7.48 inference(tautology,[status(thm)],[])).
% 9.90/7.48 tff(38877,plain,
% 9.90/7.48 ((~v128(constB12)) | (~v139(constB12))),
% 9.90/7.48 inference(unit_resolution,[status(thm)],[38876, 38875])).
% 9.90/7.48 tff(38878,plain,
% 9.90/7.48 ((~(v163(constB12) <=> (~((~v128(constB12)) | (~v139(constB12)))))) | (~v163(constB12)) | (~((~v128(constB12)) | (~v139(constB12))))),
% 9.90/7.48 inference(tautology,[status(thm)],[])).
% 9.90/7.48 tff(38879,plain,
% 9.90/7.48 (~v163(constB12)),
% 9.90/7.48 inference(unit_resolution,[status(thm)],[38878, 38877, 38671])).
% 9.90/7.48 tff(38880,plain,
% 9.90/7.48 ((~(v163(constB12) | v164(constB12))) | v163(constB12) | v164(constB12)),
% 9.90/7.48 inference(tautology,[status(thm)],[])).
% 9.90/7.48 tff(38881,plain,
% 9.90/7.48 (~(v163(constB12) | v164(constB12))),
% 9.90/7.48 inference(unit_resolution,[status(thm)],[38880, 38879, 38664])).
% 9.90/7.48 tff(38882,plain,
% 9.90/7.48 ((~(v160(constB12) <=> (v163(constB12) | v164(constB12)))) | (~v160(constB12)) | (v163(constB12) | v164(constB12))),
% 9.90/7.48 inference(tautology,[status(thm)],[])).
% 9.90/7.48 tff(38883,plain,
% 9.90/7.48 (~v160(constB12)),
% 9.90/7.48 inference(unit_resolution,[status(thm)],[38882, 38881, 38653])).
% 9.90/7.48 tff(38884,plain,
% 9.90/7.48 ((~(v162(constB13) <=> v160(constB12))) | (~v162(constB13)) | v160(constB12)),
% 9.90/7.48 inference(tautology,[status(thm)],[])).
% 9.90/7.48 tff(38885,plain,
% 9.90/7.48 (~v162(constB13)),
% 9.90/7.48 inference(unit_resolution,[status(thm)],[38884, 38883, 38651])).
% 9.90/7.48 tff(38886,plain,
% 9.90/7.48 ($false),
% 9.90/7.48 inference(unit_resolution,[status(thm)],[38885, 38647])).
% 9.90/7.48 tff(38887,plain,(~(constB13 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.90/7.48 tff(38888,assumption,(constB83 = VarCurr!0), introduced(assumption)).
% 9.90/7.48 tff(38889,plain,
% 9.90/7.48 (v162(constB83) <=> v162(VarCurr!0)),
% 9.90/7.48 inference(monotonicity,[status(thm)],[38888])).
% 9.90/7.48 tff(38890,plain,
% 9.90/7.48 (v162(VarCurr!0) <=> v162(constB83)),
% 9.90/7.48 inference(symmetry,[status(thm)],[38889])).
% 9.90/7.48 tff(38891,plain,
% 9.90/7.48 (v162(constB83)),
% 9.90/7.48 inference(modus_ponens,[status(thm)],[59, 38890])).
% 9.90/7.48 tff(38892,plain,
% 9.90/7.48 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB82, constB83)) | (v162(constB83) <=> v160(constB82)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB82, constB83)) | (v162(constB83) <=> v160(constB82)))),
% 9.90/7.48 inference(rewrite,[status(thm)],[])).
% 9.90/7.48 tff(38893,plain,
% 9.90/7.48 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB82, constB83)) | (v162(constB83) <=> v160(constB82)))),
% 9.90/7.48 inference(quant_inst,[status(thm)],[])).
% 9.90/7.48 tff(38894,plain,
% 9.90/7.48 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB82, constB83)) | (v162(constB83) <=> v160(constB82))),
% 9.90/7.48 inference(modus_ponens,[status(thm)],[38893, 38892])).
% 9.90/7.48 tff(38895,plain,
% 9.90/7.48 (v162(constB83) <=> v160(constB82)),
% 9.90/7.48 inference(unit_resolution,[status(thm)],[38894, 5986, 70])).
% 9.90/7.48 tff(38896,plain,
% 9.90/7.48 ((~![VarCurr: $i] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB82) <=> (v163(constB82) | v164(constB82)))),
% 9.90/7.48 inference(quant_inst,[status(thm)],[])).
% 9.90/7.48 tff(38897,plain,
% 9.90/7.48 (v160(constB82) <=> (v163(constB82) | v164(constB82))),
% 9.90/7.48 inference(unit_resolution,[status(thm)],[38896, 84])).
% 9.90/7.48 tff(38898,plain,
% 9.90/7.48 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB82) <=> (~((~v130(constB82)) | (~v154(constB82)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB82) <=> (~((~v130(constB82)) | (~v154(constB82))))))),
% 9.90/7.48 inference(rewrite,[status(thm)],[])).
% 9.90/7.48 tff(38899,plain,
% 9.90/7.48 ((v164(constB82) <=> (~((~v154(constB82)) | (~v130(constB82))))) <=> (v164(constB82) <=> (~((~v130(constB82)) | (~v154(constB82)))))),
% 9.90/7.48 inference(rewrite,[status(thm)],[])).
% 9.90/7.48 tff(38900,plain,
% 9.90/7.48 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB82) <=> (~((~v154(constB82)) | (~v130(constB82)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB82) <=> (~((~v130(constB82)) | (~v154(constB82))))))),
% 9.90/7.48 inference(monotonicity,[status(thm)],[38899])).
% 9.90/7.48 tff(38901,plain,
% 9.90/7.48 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB82) <=> (~((~v154(constB82)) | (~v130(constB82)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB82) <=> (~((~v130(constB82)) | (~v154(constB82))))))),
% 9.90/7.48 inference(transitivity,[status(thm)],[38900, 38898])).
% 9.90/7.48 tff(38902,plain,
% 9.90/7.48 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB82) <=> (~((~v154(constB82)) | (~v130(constB82)))))),
% 9.90/7.48 inference(quant_inst,[status(thm)],[])).
% 9.90/7.48 tff(38903,plain,
% 9.90/7.48 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB82) <=> (~((~v130(constB82)) | (~v154(constB82)))))),
% 9.90/7.48 inference(modus_ponens,[status(thm)],[38902, 38901])).
% 9.90/7.48 tff(38904,plain,
% 9.90/7.48 (v164(constB82) <=> (~((~v130(constB82)) | (~v154(constB82))))),
% 9.90/7.48 inference(unit_resolution,[status(thm)],[38903, 96])).
% 9.90/7.48 tff(38905,plain,
% 9.90/7.48 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB82) <=> (~((~v141(constB82)) | (~v143(constB82)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB82) <=> (~((~v141(constB82)) | (~v143(constB82))))))),
% 9.90/7.48 inference(rewrite,[status(thm)],[])).
% 9.90/7.48 tff(38906,plain,
% 9.90/7.48 ((v154(constB82) <=> (~((~v143(constB82)) | (~v141(constB82))))) <=> (v154(constB82) <=> (~((~v141(constB82)) | (~v143(constB82)))))),
% 9.90/7.48 inference(rewrite,[status(thm)],[])).
% 9.90/7.48 tff(38907,plain,
% 9.90/7.48 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB82) <=> (~((~v143(constB82)) | (~v141(constB82)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB82) <=> (~((~v141(constB82)) | (~v143(constB82))))))),
% 9.90/7.48 inference(monotonicity,[status(thm)],[38906])).
% 9.90/7.48 tff(38908,plain,
% 9.90/7.48 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB82) <=> (~((~v143(constB82)) | (~v141(constB82)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB82) <=> (~((~v141(constB82)) | (~v143(constB82))))))),
% 9.90/7.48 inference(transitivity,[status(thm)],[38907, 38905])).
% 9.90/7.48 tff(38909,plain,
% 9.90/7.48 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB82) <=> (~((~v143(constB82)) | (~v141(constB82)))))),
% 9.90/7.48 inference(quant_inst,[status(thm)],[])).
% 9.90/7.48 tff(38910,plain,
% 9.90/7.48 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB82) <=> (~((~v141(constB82)) | (~v143(constB82)))))),
% 9.90/7.48 inference(modus_ponens,[status(thm)],[38909, 38908])).
% 9.90/7.48 tff(38911,plain,
% 9.90/7.48 (v154(constB82) <=> (~((~v141(constB82)) | (~v143(constB82))))),
% 9.90/7.48 inference(unit_resolution,[status(thm)],[38910, 113])).
% 9.90/7.48 tff(38912,plain,
% 9.90/7.48 (((~v141(constB82)) | (~v143(constB82))) | v141(constB82)),
% 9.90/7.48 inference(tautology,[status(thm)],[])).
% 9.90/7.48 tff(38913,plain,
% 9.90/7.48 ((~v141(constB82)) | (~v143(constB82))),
% 9.90/7.48 inference(unit_resolution,[status(thm)],[38912, 36347])).
% 9.90/7.48 tff(38914,plain,
% 9.90/7.48 ((~(v154(constB82) <=> (~((~v141(constB82)) | (~v143(constB82)))))) | (~v154(constB82)) | (~((~v141(constB82)) | (~v143(constB82))))),
% 9.90/7.48 inference(tautology,[status(thm)],[])).
% 9.90/7.48 tff(38915,plain,
% 9.90/7.48 ((~(v154(constB82) <=> (~((~v141(constB82)) | (~v143(constB82)))))) | (~v154(constB82))),
% 9.90/7.48 inference(unit_resolution,[status(thm)],[38914, 38913])).
% 9.90/7.48 tff(38916,plain,
% 9.90/7.48 (~v154(constB82)),
% 9.90/7.48 inference(unit_resolution,[status(thm)],[38915, 38911])).
% 9.90/7.48 tff(38917,plain,
% 9.90/7.48 (((~v130(constB82)) | (~v154(constB82))) | v154(constB82)),
% 9.90/7.48 inference(tautology,[status(thm)],[])).
% 9.90/7.48 tff(38918,plain,
% 9.90/7.48 ((~v130(constB82)) | (~v154(constB82))),
% 9.90/7.48 inference(unit_resolution,[status(thm)],[38917, 38916])).
% 9.90/7.48 tff(38919,plain,
% 9.90/7.48 ((~(v164(constB82) <=> (~((~v130(constB82)) | (~v154(constB82)))))) | (~v164(constB82)) | (~((~v130(constB82)) | (~v154(constB82))))),
% 9.90/7.48 inference(tautology,[status(thm)],[])).
% 9.90/7.48 tff(38920,plain,
% 9.90/7.48 (~v164(constB82)),
% 9.90/7.48 inference(unit_resolution,[status(thm)],[38919, 38918, 38904])).
% 9.90/7.48 tff(38921,plain,
% 9.90/7.48 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB82) <=> (~((~v128(constB82)) | (~v139(constB82)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB82) <=> (~((~v128(constB82)) | (~v139(constB82))))))),
% 9.90/7.48 inference(rewrite,[status(thm)],[])).
% 9.90/7.48 tff(38922,plain,
% 9.90/7.48 ((v163(constB82) <=> (~((~v139(constB82)) | (~v128(constB82))))) <=> (v163(constB82) <=> (~((~v128(constB82)) | (~v139(constB82)))))),
% 9.90/7.49 inference(rewrite,[status(thm)],[])).
% 9.90/7.49 tff(38923,plain,
% 9.90/7.49 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB82) <=> (~((~v139(constB82)) | (~v128(constB82)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB82) <=> (~((~v128(constB82)) | (~v139(constB82))))))),
% 9.90/7.49 inference(monotonicity,[status(thm)],[38922])).
% 9.90/7.49 tff(38924,plain,
% 9.90/7.49 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB82) <=> (~((~v139(constB82)) | (~v128(constB82)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB82) <=> (~((~v128(constB82)) | (~v139(constB82))))))),
% 9.90/7.49 inference(transitivity,[status(thm)],[38923, 38921])).
% 9.90/7.49 tff(38925,plain,
% 9.90/7.49 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB82) <=> (~((~v139(constB82)) | (~v128(constB82)))))),
% 9.90/7.49 inference(quant_inst,[status(thm)],[])).
% 9.90/7.49 tff(38926,plain,
% 9.90/7.49 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB82) <=> (~((~v128(constB82)) | (~v139(constB82)))))),
% 9.90/7.49 inference(modus_ponens,[status(thm)],[38925, 38924])).
% 9.90/7.49 tff(38927,plain,
% 9.90/7.49 (v163(constB82) <=> (~((~v128(constB82)) | (~v139(constB82))))),
% 9.90/7.49 inference(unit_resolution,[status(thm)],[38926, 171])).
% 9.90/7.49 tff(38928,plain,
% 9.90/7.49 ((~![VarNext: $i] : (v128(VarNext) <=> v162(VarNext))) | (v128(constB82) <=> v162(constB82))),
% 9.90/7.49 inference(quant_inst,[status(thm)],[])).
% 9.90/7.49 tff(38929,plain,
% 9.90/7.49 (v128(constB82) <=> v162(constB82)),
% 9.90/7.49 inference(unit_resolution,[status(thm)],[38928, 13])).
% 9.90/7.49 tff(38930,plain,
% 9.90/7.49 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB81, constB82)) | (v162(constB82) <=> v160(constB81)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB81, constB82)) | (v162(constB82) <=> v160(constB81)))),
% 9.90/7.49 inference(rewrite,[status(thm)],[])).
% 9.90/7.49 tff(38931,plain,
% 9.90/7.49 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB81, constB82)) | (v162(constB82) <=> v160(constB81)))),
% 9.90/7.49 inference(quant_inst,[status(thm)],[])).
% 9.90/7.49 tff(38932,plain,
% 9.90/7.49 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB81, constB82)) | (v162(constB82) <=> v160(constB81))),
% 9.90/7.49 inference(modus_ponens,[status(thm)],[38931, 38930])).
% 9.90/7.49 tff(38933,plain,
% 9.90/7.49 (v162(constB82) <=> v160(constB81)),
% 9.90/7.49 inference(unit_resolution,[status(thm)],[38932, 6018, 70])).
% 9.90/7.49 tff(38934,plain,
% 9.90/7.49 ((~![VarCurr: $i] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB81) <=> (v163(constB81) | v164(constB81)))),
% 9.90/7.49 inference(quant_inst,[status(thm)],[])).
% 9.90/7.49 tff(38935,plain,
% 9.90/7.49 (v160(constB81) <=> (v163(constB81) | v164(constB81))),
% 9.90/7.49 inference(unit_resolution,[status(thm)],[38934, 84])).
% 9.90/7.49 tff(38936,plain,
% 9.90/7.49 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB81) <=> (~((~v128(constB81)) | (~v139(constB81)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB81) <=> (~((~v128(constB81)) | (~v139(constB81))))))),
% 9.90/7.49 inference(rewrite,[status(thm)],[])).
% 9.90/7.49 tff(38937,plain,
% 9.90/7.49 ((v163(constB81) <=> (~((~v139(constB81)) | (~v128(constB81))))) <=> (v163(constB81) <=> (~((~v128(constB81)) | (~v139(constB81)))))),
% 9.90/7.49 inference(rewrite,[status(thm)],[])).
% 9.90/7.49 tff(38938,plain,
% 9.90/7.49 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB81) <=> (~((~v139(constB81)) | (~v128(constB81)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB81) <=> (~((~v128(constB81)) | (~v139(constB81))))))),
% 9.90/7.49 inference(monotonicity,[status(thm)],[38937])).
% 9.90/7.49 tff(38939,plain,
% 9.90/7.49 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB81) <=> (~((~v139(constB81)) | (~v128(constB81)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB81) <=> (~((~v128(constB81)) | (~v139(constB81))))))),
% 9.90/7.49 inference(transitivity,[status(thm)],[38938, 38936])).
% 9.90/7.49 tff(38940,plain,
% 9.90/7.49 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB81) <=> (~((~v139(constB81)) | (~v128(constB81)))))),
% 9.90/7.49 inference(quant_inst,[status(thm)],[])).
% 9.90/7.49 tff(38941,plain,
% 9.90/7.49 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB81) <=> (~((~v128(constB81)) | (~v139(constB81)))))),
% 9.90/7.49 inference(modus_ponens,[status(thm)],[38940, 38939])).
% 9.90/7.49 tff(38942,plain,
% 9.90/7.49 (v163(constB81) <=> (~((~v128(constB81)) | (~v139(constB81))))),
% 9.90/7.49 inference(unit_resolution,[status(thm)],[38941, 171])).
% 9.90/7.49 tff(38943,plain,
% 9.90/7.49 (((~v128(constB81)) | (~v139(constB81))) | v139(constB81)),
% 9.90/7.49 inference(tautology,[status(thm)],[])).
% 9.90/7.49 tff(38944,plain,
% 9.90/7.49 ((~v128(constB81)) | (~v139(constB81))),
% 9.90/7.49 inference(unit_resolution,[status(thm)],[38943, 36440])).
% 9.90/7.49 tff(38945,plain,
% 9.90/7.49 ((~(v163(constB81) <=> (~((~v128(constB81)) | (~v139(constB81)))))) | (~v163(constB81)) | (~((~v128(constB81)) | (~v139(constB81))))),
% 9.90/7.49 inference(tautology,[status(thm)],[])).
% 9.90/7.49 tff(38946,plain,
% 9.90/7.49 (~v163(constB81)),
% 9.90/7.49 inference(unit_resolution,[status(thm)],[38945, 38944, 38942])).
% 9.90/7.49 tff(38947,plain,
% 9.90/7.49 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB81) <=> (~((~v130(constB81)) | (~v154(constB81)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB81) <=> (~((~v130(constB81)) | (~v154(constB81))))))),
% 9.90/7.49 inference(rewrite,[status(thm)],[])).
% 9.90/7.49 tff(38948,plain,
% 9.90/7.49 ((v164(constB81) <=> (~((~v154(constB81)) | (~v130(constB81))))) <=> (v164(constB81) <=> (~((~v130(constB81)) | (~v154(constB81)))))),
% 9.90/7.49 inference(rewrite,[status(thm)],[])).
% 9.90/7.49 tff(38949,plain,
% 9.90/7.49 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB81) <=> (~((~v154(constB81)) | (~v130(constB81)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB81) <=> (~((~v130(constB81)) | (~v154(constB81))))))),
% 9.90/7.49 inference(monotonicity,[status(thm)],[38948])).
% 9.90/7.49 tff(38950,plain,
% 9.90/7.49 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB81) <=> (~((~v154(constB81)) | (~v130(constB81)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB81) <=> (~((~v130(constB81)) | (~v154(constB81))))))),
% 9.90/7.49 inference(transitivity,[status(thm)],[38949, 38947])).
% 9.90/7.49 tff(38951,plain,
% 9.90/7.49 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB81) <=> (~((~v154(constB81)) | (~v130(constB81)))))),
% 9.90/7.49 inference(quant_inst,[status(thm)],[])).
% 9.90/7.49 tff(38952,plain,
% 9.90/7.49 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB81) <=> (~((~v130(constB81)) | (~v154(constB81)))))),
% 9.90/7.49 inference(modus_ponens,[status(thm)],[38951, 38950])).
% 9.90/7.49 tff(38953,plain,
% 9.90/7.49 (v164(constB81) <=> (~((~v130(constB81)) | (~v154(constB81))))),
% 9.90/7.49 inference(unit_resolution,[status(thm)],[38952, 96])).
% 9.90/7.49 tff(38954,plain,
% 9.90/7.49 ((~![VarNext: $i] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB81) <=> v152(constB81))),
% 9.90/7.49 inference(quant_inst,[status(thm)],[])).
% 9.90/7.49 tff(38955,plain,
% 9.90/7.49 (v130(constB81) <=> v152(constB81)),
% 9.90/7.49 inference(unit_resolution,[status(thm)],[38954, 361])).
% 9.90/7.49 tff(38956,plain,
% 9.90/7.49 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB80, constB81)) | (v152(constB81) <=> v150(constB80)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB80, constB81)) | (v152(constB81) <=> v150(constB80)))),
% 9.90/7.49 inference(rewrite,[status(thm)],[])).
% 9.90/7.49 tff(38957,plain,
% 9.90/7.49 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB80, constB81)) | (v152(constB81) <=> v150(constB80)))),
% 9.90/7.49 inference(quant_inst,[status(thm)],[])).
% 9.90/7.49 tff(38958,plain,
% 9.90/7.49 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB80, constB81)) | (v152(constB81) <=> v150(constB80))),
% 9.90/7.49 inference(modus_ponens,[status(thm)],[38957, 38956])).
% 9.90/7.49 tff(38959,plain,
% 9.90/7.49 (v152(constB81) <=> v150(constB80)),
% 9.90/7.49 inference(unit_resolution,[status(thm)],[38958, 6077, 373])).
% 9.90/7.49 tff(38960,plain,
% 9.90/7.49 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v153(VarCurr) | v155(VarCurr)))) | (v150(constB80) <=> (v153(constB80) | v155(constB80)))),
% 9.90/7.49 inference(quant_inst,[status(thm)],[])).
% 9.90/7.49 tff(38961,plain,
% 9.90/7.49 (v150(constB80) <=> (v153(constB80) | v155(constB80))),
% 9.90/7.49 inference(unit_resolution,[status(thm)],[38960, 387])).
% 9.90/7.49 tff(38962,plain,
% 9.90/7.49 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB80) <=> (~((~v132(constB80)) | (~v154(constB80)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB80) <=> (~((~v132(constB80)) | (~v154(constB80))))))),
% 9.90/7.49 inference(rewrite,[status(thm)],[])).
% 9.90/7.49 tff(38963,plain,
% 9.90/7.49 ((v153(constB80) <=> (~((~v154(constB80)) | (~v132(constB80))))) <=> (v153(constB80) <=> (~((~v132(constB80)) | (~v154(constB80)))))),
% 9.90/7.49 inference(rewrite,[status(thm)],[])).
% 9.90/7.49 tff(38964,plain,
% 9.90/7.49 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB80) <=> (~((~v154(constB80)) | (~v132(constB80)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB80) <=> (~((~v132(constB80)) | (~v154(constB80))))))),
% 9.90/7.49 inference(monotonicity,[status(thm)],[38963])).
% 9.90/7.49 tff(38965,plain,
% 9.90/7.49 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB80) <=> (~((~v154(constB80)) | (~v132(constB80)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB80) <=> (~((~v132(constB80)) | (~v154(constB80))))))),
% 9.90/7.49 inference(transitivity,[status(thm)],[38964, 38962])).
% 9.90/7.49 tff(38966,plain,
% 9.90/7.49 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB80) <=> (~((~v154(constB80)) | (~v132(constB80)))))),
% 9.90/7.49 inference(quant_inst,[status(thm)],[])).
% 9.90/7.49 tff(38967,plain,
% 9.90/7.49 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB80) <=> (~((~v132(constB80)) | (~v154(constB80)))))),
% 9.90/7.49 inference(modus_ponens,[status(thm)],[38966, 38965])).
% 9.90/7.49 tff(38968,plain,
% 9.90/7.49 (v153(constB80) <=> (~((~v132(constB80)) | (~v154(constB80))))),
% 9.90/7.49 inference(unit_resolution,[status(thm)],[38967, 399])).
% 9.90/7.49 tff(38969,plain,
% 9.90/7.49 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB80) <=> (~((~v141(constB80)) | (~v143(constB80)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB80) <=> (~((~v141(constB80)) | (~v143(constB80))))))),
% 9.90/7.49 inference(rewrite,[status(thm)],[])).
% 9.90/7.49 tff(38970,plain,
% 9.90/7.49 ((v154(constB80) <=> (~((~v143(constB80)) | (~v141(constB80))))) <=> (v154(constB80) <=> (~((~v141(constB80)) | (~v143(constB80)))))),
% 9.90/7.49 inference(rewrite,[status(thm)],[])).
% 9.90/7.49 tff(38971,plain,
% 9.90/7.49 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB80) <=> (~((~v143(constB80)) | (~v141(constB80)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB80) <=> (~((~v141(constB80)) | (~v143(constB80))))))),
% 9.90/7.49 inference(monotonicity,[status(thm)],[38970])).
% 9.90/7.49 tff(38972,plain,
% 9.90/7.49 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB80) <=> (~((~v143(constB80)) | (~v141(constB80)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB80) <=> (~((~v141(constB80)) | (~v143(constB80))))))),
% 9.90/7.49 inference(transitivity,[status(thm)],[38971, 38969])).
% 9.90/7.49 tff(38973,plain,
% 9.90/7.49 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB80) <=> (~((~v143(constB80)) | (~v141(constB80)))))),
% 9.90/7.49 inference(quant_inst,[status(thm)],[])).
% 9.90/7.49 tff(38974,plain,
% 9.90/7.49 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB80) <=> (~((~v141(constB80)) | (~v143(constB80)))))),
% 9.90/7.49 inference(modus_ponens,[status(thm)],[38973, 38972])).
% 9.90/7.49 tff(38975,plain,
% 9.90/7.49 (v154(constB80) <=> (~((~v141(constB80)) | (~v143(constB80))))),
% 9.90/7.49 inference(unit_resolution,[status(thm)],[38974, 113])).
% 9.90/7.49 tff(38976,plain,
% 9.90/7.49 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB80) <=> (~((~v39(constB80)) | (~v9(constB80)))))),
% 9.90/7.49 inference(quant_inst,[status(thm)],[])).
% 9.90/7.49 tff(38977,plain,
% 9.90/7.49 (v141(constB80) <=> (~((~v39(constB80)) | (~v9(constB80))))),
% 9.90/7.49 inference(unit_resolution,[status(thm)],[38976, 130])).
% 9.90/7.49 tff(38978,plain,
% 9.90/7.49 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB80)) <=> v1(constB80))),
% 9.90/7.49 inference(quant_inst,[status(thm)],[])).
% 9.90/7.49 tff(38979,plain,
% 9.90/7.49 ((~v39(constB80)) <=> v1(constB80)),
% 9.90/7.49 inference(unit_resolution,[status(thm)],[38978, 139])).
% 9.90/7.49 tff(38980,plain,
% 9.90/7.49 ((~((~v39(constB80)) <=> v1(constB80))) | (~v39(constB80)) | (~v1(constB80))),
% 9.90/7.49 inference(tautology,[status(thm)],[])).
% 9.90/7.49 tff(38981,plain,
% 9.90/7.49 ((~((~v39(constB80)) <=> v1(constB80))) | (~v39(constB80))),
% 9.90/7.49 inference(unit_resolution,[status(thm)],[38980, 6139])).
% 9.90/7.49 tff(38982,plain,
% 9.90/7.49 (~v39(constB80)),
% 9.90/7.49 inference(unit_resolution,[status(thm)],[38981, 38979])).
% 9.90/7.49 tff(38983,plain,
% 9.90/7.49 (((~v39(constB80)) | (~v9(constB80))) | v39(constB80)),
% 9.90/7.49 inference(tautology,[status(thm)],[])).
% 9.90/7.49 tff(38984,plain,
% 9.90/7.49 ((~v39(constB80)) | (~v9(constB80))),
% 9.90/7.49 inference(unit_resolution,[status(thm)],[38983, 38982])).
% 9.90/7.49 tff(38985,plain,
% 9.90/7.49 ((~(v141(constB80) <=> (~((~v39(constB80)) | (~v9(constB80)))))) | (~v141(constB80)) | (~((~v39(constB80)) | (~v9(constB80))))),
% 9.90/7.49 inference(tautology,[status(thm)],[])).
% 9.90/7.49 tff(38986,plain,
% 9.90/7.49 ((~(v141(constB80) <=> (~((~v39(constB80)) | (~v9(constB80)))))) | (~v141(constB80))),
% 9.90/7.49 inference(unit_resolution,[status(thm)],[38985, 38984])).
% 9.90/7.49 tff(38987,plain,
% 9.90/7.49 (~v141(constB80)),
% 9.90/7.49 inference(unit_resolution,[status(thm)],[38986, 38977])).
% 9.90/7.49 tff(38988,plain,
% 9.90/7.49 (((~v141(constB80)) | (~v143(constB80))) | v141(constB80)),
% 9.90/7.49 inference(tautology,[status(thm)],[])).
% 9.90/7.49 tff(38989,plain,
% 9.90/7.49 ((~v141(constB80)) | (~v143(constB80))),
% 9.90/7.49 inference(unit_resolution,[status(thm)],[38988, 38987])).
% 9.90/7.49 tff(38990,plain,
% 9.90/7.49 ((~(v154(constB80) <=> (~((~v141(constB80)) | (~v143(constB80)))))) | (~v154(constB80)) | (~((~v141(constB80)) | (~v143(constB80))))),
% 9.90/7.49 inference(tautology,[status(thm)],[])).
% 9.90/7.49 tff(38991,plain,
% 9.90/7.49 ((~(v154(constB80) <=> (~((~v141(constB80)) | (~v143(constB80)))))) | (~v154(constB80))),
% 9.90/7.49 inference(unit_resolution,[status(thm)],[38990, 38989])).
% 9.90/7.49 tff(38992,plain,
% 9.90/7.49 (~v154(constB80)),
% 9.90/7.49 inference(unit_resolution,[status(thm)],[38991, 38975])).
% 9.90/7.49 tff(38993,plain,
% 9.90/7.49 (((~v132(constB80)) | (~v154(constB80))) | v154(constB80)),
% 9.90/7.49 inference(tautology,[status(thm)],[])).
% 9.90/7.49 tff(38994,plain,
% 9.90/7.49 ((~v132(constB80)) | (~v154(constB80))),
% 9.90/7.49 inference(unit_resolution,[status(thm)],[38993, 38992])).
% 9.90/7.49 tff(38995,plain,
% 9.90/7.49 ((~(v153(constB80) <=> (~((~v132(constB80)) | (~v154(constB80)))))) | (~v153(constB80)) | (~((~v132(constB80)) | (~v154(constB80))))),
% 9.90/7.49 inference(tautology,[status(thm)],[])).
% 9.90/7.49 tff(38996,plain,
% 9.90/7.49 (~v153(constB80)),
% 9.90/7.49 inference(unit_resolution,[status(thm)],[38995, 38994, 38968])).
% 9.90/7.49 tff(38997,plain,
% 9.90/7.49 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB80) <=> (~((~v130(constB80)) | (~v139(constB80)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB80) <=> (~((~v130(constB80)) | (~v139(constB80))))))),
% 9.90/7.49 inference(rewrite,[status(thm)],[])).
% 9.90/7.49 tff(38998,plain,
% 9.90/7.49 ((v155(constB80) <=> (~((~v139(constB80)) | (~v130(constB80))))) <=> (v155(constB80) <=> (~((~v130(constB80)) | (~v139(constB80)))))),
% 9.90/7.49 inference(rewrite,[status(thm)],[])).
% 9.90/7.49 tff(38999,plain,
% 9.90/7.49 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB80) <=> (~((~v139(constB80)) | (~v130(constB80)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB80) <=> (~((~v130(constB80)) | (~v139(constB80))))))),
% 9.90/7.49 inference(monotonicity,[status(thm)],[38998])).
% 9.90/7.49 tff(39000,plain,
% 9.90/7.49 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB80) <=> (~((~v139(constB80)) | (~v130(constB80)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB80) <=> (~((~v130(constB80)) | (~v139(constB80))))))),
% 9.90/7.49 inference(transitivity,[status(thm)],[38999, 38997])).
% 9.90/7.49 tff(39001,plain,
% 9.90/7.49 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB80) <=> (~((~v139(constB80)) | (~v130(constB80)))))),
% 9.90/7.49 inference(quant_inst,[status(thm)],[])).
% 9.90/7.49 tff(39002,plain,
% 9.90/7.49 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB80) <=> (~((~v130(constB80)) | (~v139(constB80)))))),
% 9.90/7.49 inference(modus_ponens,[status(thm)],[39001, 39000])).
% 9.90/7.49 tff(39003,plain,
% 9.90/7.49 (v155(constB80) <=> (~((~v130(constB80)) | (~v139(constB80))))),
% 9.90/7.49 inference(unit_resolution,[status(thm)],[39002, 447])).
% 9.90/7.49 tff(39004,plain,
% 9.90/7.49 ((~![VarNext: $i] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB80) <=> v152(constB80))),
% 9.90/7.49 inference(quant_inst,[status(thm)],[])).
% 9.90/7.49 tff(39005,plain,
% 9.90/7.49 (v130(constB80) <=> v152(constB80)),
% 9.90/7.49 inference(unit_resolution,[status(thm)],[39004, 361])).
% 9.90/7.49 tff(39006,plain,
% 9.90/7.49 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB79, constB80)) | (v152(constB80) <=> v150(constB79)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB79, constB80)) | (v152(constB80) <=> v150(constB79)))),
% 9.90/7.49 inference(rewrite,[status(thm)],[])).
% 9.90/7.49 tff(39007,plain,
% 9.90/7.49 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB79, constB80)) | (v152(constB80) <=> v150(constB79)))),
% 9.90/7.49 inference(quant_inst,[status(thm)],[])).
% 9.90/7.49 tff(39008,plain,
% 9.90/7.49 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB79, constB80)) | (v152(constB80) <=> v150(constB79))),
% 9.90/7.49 inference(modus_ponens,[status(thm)],[39007, 39006])).
% 9.90/7.49 tff(39009,plain,
% 9.90/7.49 (v152(constB80) <=> v150(constB79)),
% 9.90/7.49 inference(unit_resolution,[status(thm)],[39008, 6109, 373])).
% 9.90/7.49 tff(39010,plain,
% 9.90/7.49 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v153(VarCurr) | v155(VarCurr)))) | (v150(constB79) <=> (v153(constB79) | v155(constB79)))),
% 9.90/7.49 inference(quant_inst,[status(thm)],[])).
% 9.90/7.49 tff(39011,plain,
% 9.90/7.49 (v150(constB79) <=> (v153(constB79) | v155(constB79))),
% 9.90/7.49 inference(unit_resolution,[status(thm)],[39010, 387])).
% 9.90/7.49 tff(39012,plain,
% 9.90/7.49 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB79) <=> (~((~v130(constB79)) | (~v139(constB79)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB79) <=> (~((~v130(constB79)) | (~v139(constB79))))))),
% 9.90/7.49 inference(rewrite,[status(thm)],[])).
% 9.90/7.49 tff(39013,plain,
% 9.90/7.49 ((v155(constB79) <=> (~((~v139(constB79)) | (~v130(constB79))))) <=> (v155(constB79) <=> (~((~v130(constB79)) | (~v139(constB79)))))),
% 9.90/7.49 inference(rewrite,[status(thm)],[])).
% 9.90/7.49 tff(39014,plain,
% 9.90/7.49 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB79) <=> (~((~v139(constB79)) | (~v130(constB79)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB79) <=> (~((~v130(constB79)) | (~v139(constB79))))))),
% 9.90/7.49 inference(monotonicity,[status(thm)],[39013])).
% 9.90/7.49 tff(39015,plain,
% 9.90/7.49 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB79) <=> (~((~v139(constB79)) | (~v130(constB79)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB79) <=> (~((~v130(constB79)) | (~v139(constB79))))))),
% 9.90/7.49 inference(transitivity,[status(thm)],[39014, 39012])).
% 9.90/7.49 tff(39016,plain,
% 9.90/7.49 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB79) <=> (~((~v139(constB79)) | (~v130(constB79)))))),
% 9.90/7.49 inference(quant_inst,[status(thm)],[])).
% 9.90/7.49 tff(39017,plain,
% 9.90/7.49 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB79) <=> (~((~v130(constB79)) | (~v139(constB79)))))),
% 9.90/7.49 inference(modus_ponens,[status(thm)],[39016, 39015])).
% 9.90/7.49 tff(39018,plain,
% 9.90/7.49 (v155(constB79) <=> (~((~v130(constB79)) | (~v139(constB79))))),
% 9.90/7.49 inference(unit_resolution,[status(thm)],[39017, 447])).
% 9.90/7.49 tff(39019,plain,
% 9.90/7.49 ((~![VarCurr: $i] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB79)) <=> v140(constB79))),
% 9.90/7.49 inference(quant_inst,[status(thm)],[])).
% 9.90/7.49 tff(39020,plain,
% 9.90/7.49 ((~v139(constB79)) <=> v140(constB79)),
% 9.90/7.49 inference(unit_resolution,[status(thm)],[39019, 203])).
% 9.90/7.49 tff(39021,plain,
% 9.90/7.49 ((~![VarCurr: $i] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB79) <=> (v141(constB79) | v26(constB79)))),
% 9.90/7.49 inference(quant_inst,[status(thm)],[])).
% 9.90/7.49 tff(39022,plain,
% 9.90/7.49 (v140(constB79) <=> (v141(constB79) | v26(constB79))),
% 9.90/7.49 inference(unit_resolution,[status(thm)],[39021, 212])).
% 9.90/7.49 tff(39023,plain,
% 9.90/7.49 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB79) <=> (~((~v39(constB79)) | (~v9(constB79)))))),
% 9.90/7.49 inference(quant_inst,[status(thm)],[])).
% 9.90/7.49 tff(39024,plain,
% 9.90/7.49 (v141(constB79) <=> (~((~v39(constB79)) | (~v9(constB79))))),
% 9.90/7.49 inference(unit_resolution,[status(thm)],[39023, 130])).
% 9.90/7.49 tff(39025,plain,
% 9.90/7.49 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB79, constB80)) | (v13(constB80) <=> v9(constB79)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB79, constB80)) | (v13(constB80) <=> v9(constB79)))),
% 9.90/7.49 inference(rewrite,[status(thm)],[])).
% 9.90/7.49 tff(39026,plain,
% 9.90/7.49 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB79, constB80)) | (v13(constB80) <=> v9(constB79)))),
% 9.90/7.49 inference(quant_inst,[status(thm)],[])).
% 9.90/7.49 tff(39027,plain,
% 9.90/7.49 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB79, constB80)) | (v13(constB80) <=> v9(constB79))),
% 9.90/7.49 inference(modus_ponens,[status(thm)],[39026, 39025])).
% 9.90/7.49 tff(39028,plain,
% 9.90/7.49 (v13(constB80) <=> v9(constB79)),
% 9.90/7.49 inference(unit_resolution,[status(thm)],[39027, 6109, 226])).
% 9.90/7.49 tff(39029,plain,
% 9.90/7.49 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB80) <=> v13(constB80))),
% 9.90/7.49 inference(quant_inst,[status(thm)],[])).
% 9.90/7.49 tff(39030,plain,
% 9.90/7.49 (v6(constB80) <=> v13(constB80)),
% 9.90/7.49 inference(unit_resolution,[status(thm)],[39029, 240])).
% 9.90/7.49 tff(39031,plain,
% 9.90/7.49 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB80)) <=> v6(constB80))),
% 9.90/7.49 inference(quant_inst,[status(thm)],[])).
% 9.90/7.49 tff(39032,plain,
% 9.90/7.49 ((~v21(constB80)) <=> v6(constB80)),
% 9.90/7.49 inference(unit_resolution,[status(thm)],[39031, 249])).
% 9.90/7.49 tff(39033,plain,
% 9.90/7.49 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB80) <=> (v20(constB80) | v21(constB80)))),
% 9.90/7.49 inference(quant_inst,[status(thm)],[])).
% 9.90/7.49 tff(39034,plain,
% 9.90/7.49 (v19(constB80) <=> (v20(constB80) | v21(constB80))),
% 9.90/7.49 inference(unit_resolution,[status(thm)],[39033, 258])).
% 9.90/7.49 tff(39035,plain,
% 9.90/7.49 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB80) <=> (~((~v19(constB80)) | (~v22(constB80)))))),
% 9.90/7.49 inference(quant_inst,[status(thm)],[])).
% 9.90/7.49 tff(39036,plain,
% 9.90/7.49 (v18(constB80) <=> (~((~v19(constB80)) | (~v22(constB80))))),
% 9.90/7.49 inference(unit_resolution,[status(thm)],[39035, 270])).
% 9.90/7.49 tff(39037,plain,
% 9.90/7.49 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB80)) <=> v18(constB80))),
% 9.90/7.49 inference(quant_inst,[status(thm)],[])).
% 9.90/7.49 tff(39038,plain,
% 9.90/7.49 ((~v4(constB80)) <=> v18(constB80)),
% 9.90/7.49 inference(unit_resolution,[status(thm)],[39037, 279])).
% 9.90/7.49 tff(39039,plain,
% 9.90/7.49 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB80)),
% 9.90/7.49 inference(quant_inst,[status(thm)],[])).
% 9.90/7.49 tff(39040,plain,
% 9.90/7.49 (v4(constB80)),
% 9.90/7.49 inference(unit_resolution,[status(thm)],[39039, 288])).
% 9.90/7.49 tff(39041,plain,
% 9.90/7.49 ((~((~v4(constB80)) <=> v18(constB80))) | (~v4(constB80)) | (~v18(constB80))),
% 9.90/7.49 inference(tautology,[status(thm)],[])).
% 9.90/7.49 tff(39042,plain,
% 9.90/7.49 (~v18(constB80)),
% 9.90/7.49 inference(unit_resolution,[status(thm)],[39041, 39040, 39038])).
% 9.90/7.49 tff(39043,plain,
% 9.90/7.49 ((~(v18(constB80) <=> (~((~v19(constB80)) | (~v22(constB80)))))) | v18(constB80) | ((~v19(constB80)) | (~v22(constB80)))),
% 9.90/7.49 inference(tautology,[status(thm)],[])).
% 9.90/7.49 tff(39044,plain,
% 9.90/7.49 ((~v19(constB80)) | (~v22(constB80))),
% 9.90/7.49 inference(unit_resolution,[status(thm)],[39043, 39042, 39036])).
% 9.90/7.49 tff(39045,plain,
% 9.90/7.49 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB80) <=> (v1(constB80) | v6(constB80)))),
% 9.90/7.49 inference(quant_inst,[status(thm)],[])).
% 9.90/7.49 tff(39046,plain,
% 9.90/7.49 (v22(constB80) <=> (v1(constB80) | v6(constB80))),
% 9.90/7.49 inference(unit_resolution,[status(thm)],[39045, 301])).
% 9.90/7.49 tff(39047,plain,
% 9.90/7.49 ((v1(constB80) | v6(constB80)) | (~v1(constB80))),
% 9.90/7.49 inference(tautology,[status(thm)],[])).
% 9.90/7.49 tff(39048,plain,
% 9.90/7.49 (v1(constB80) | v6(constB80)),
% 9.90/7.49 inference(unit_resolution,[status(thm)],[39047, 6139])).
% 9.90/7.49 tff(39049,plain,
% 9.90/7.49 ((~(v22(constB80) <=> (v1(constB80) | v6(constB80)))) | v22(constB80) | (~(v1(constB80) | v6(constB80)))),
% 9.90/7.49 inference(tautology,[status(thm)],[])).
% 9.90/7.49 tff(39050,plain,
% 9.90/7.49 ((~(v22(constB80) <=> (v1(constB80) | v6(constB80)))) | v22(constB80)),
% 9.90/7.49 inference(unit_resolution,[status(thm)],[39049, 39048])).
% 9.90/7.49 tff(39051,plain,
% 9.90/7.49 (v22(constB80)),
% 9.90/7.49 inference(unit_resolution,[status(thm)],[39050, 39046])).
% 9.90/7.49 tff(39052,plain,
% 9.90/7.49 ((~((~v19(constB80)) | (~v22(constB80)))) | (~v19(constB80)) | (~v22(constB80))),
% 9.90/7.49 inference(tautology,[status(thm)],[])).
% 9.90/7.49 tff(39053,plain,
% 9.90/7.49 ((~((~v19(constB80)) | (~v22(constB80)))) | (~v19(constB80))),
% 9.90/7.49 inference(unit_resolution,[status(thm)],[39052, 39051])).
% 9.90/7.49 tff(39054,plain,
% 9.90/7.49 (~v19(constB80)),
% 9.90/7.49 inference(unit_resolution,[status(thm)],[39053, 39044])).
% 9.90/7.49 tff(39055,plain,
% 9.90/7.49 ((~(v19(constB80) <=> (v20(constB80) | v21(constB80)))) | v19(constB80) | (~(v20(constB80) | v21(constB80)))),
% 9.90/7.49 inference(tautology,[status(thm)],[])).
% 9.90/7.49 tff(39056,plain,
% 9.90/7.49 (~(v20(constB80) | v21(constB80))),
% 9.90/7.49 inference(unit_resolution,[status(thm)],[39055, 39054, 39034])).
% 9.90/7.49 tff(39057,plain,
% 9.90/7.49 ((v20(constB80) | v21(constB80)) | (~v21(constB80))),
% 9.90/7.49 inference(tautology,[status(thm)],[])).
% 9.90/7.49 tff(39058,plain,
% 9.90/7.49 (~v21(constB80)),
% 9.90/7.49 inference(unit_resolution,[status(thm)],[39057, 39056])).
% 9.90/7.49 tff(39059,plain,
% 9.90/7.49 ((~((~v21(constB80)) <=> v6(constB80))) | v21(constB80) | v6(constB80)),
% 9.90/7.49 inference(tautology,[status(thm)],[])).
% 9.90/7.49 tff(39060,plain,
% 9.90/7.49 (v6(constB80)),
% 9.90/7.49 inference(unit_resolution,[status(thm)],[39059, 39058, 39032])).
% 9.90/7.49 tff(39061,plain,
% 9.90/7.49 ((~(v6(constB80) <=> v13(constB80))) | (~v6(constB80)) | v13(constB80)),
% 9.90/7.49 inference(tautology,[status(thm)],[])).
% 9.90/7.49 tff(39062,plain,
% 9.90/7.49 (v13(constB80)),
% 9.90/7.49 inference(unit_resolution,[status(thm)],[39061, 39060, 39030])).
% 9.90/7.49 tff(39063,plain,
% 9.90/7.49 ((~(v13(constB80) <=> v9(constB79))) | (~v13(constB80)) | v9(constB79)),
% 9.90/7.49 inference(tautology,[status(thm)],[])).
% 9.90/7.49 tff(39064,plain,
% 9.90/7.49 (v9(constB79)),
% 9.90/7.49 inference(unit_resolution,[status(thm)],[39063, 39062, 39028])).
% 9.90/7.49 tff(39065,plain,
% 9.90/7.49 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB79)) <=> v1(constB79))),
% 9.90/7.49 inference(quant_inst,[status(thm)],[])).
% 9.90/7.49 tff(39066,plain,
% 9.90/7.49 ((~v39(constB79)) <=> v1(constB79)),
% 9.90/7.49 inference(unit_resolution,[status(thm)],[39065, 139])).
% 9.90/7.49 tff(39067,plain,
% 9.90/7.49 ((~((~v39(constB79)) <=> v1(constB79))) | v39(constB79) | v1(constB79)),
% 9.90/7.49 inference(tautology,[status(thm)],[])).
% 9.90/7.49 tff(39068,plain,
% 9.90/7.49 ((~((~v39(constB79)) <=> v1(constB79))) | v39(constB79)),
% 9.90/7.49 inference(unit_resolution,[status(thm)],[39067, 6131])).
% 9.90/7.49 tff(39069,plain,
% 9.90/7.49 (v39(constB79)),
% 9.90/7.49 inference(unit_resolution,[status(thm)],[39068, 39066])).
% 9.90/7.49 tff(39070,plain,
% 9.90/7.49 ((~((~v39(constB79)) | (~v9(constB79)))) | (~v39(constB79)) | (~v9(constB79))),
% 9.90/7.49 inference(tautology,[status(thm)],[])).
% 9.90/7.49 tff(39071,plain,
% 9.90/7.49 ((~((~v39(constB79)) | (~v9(constB79)))) | (~v9(constB79))),
% 9.90/7.49 inference(unit_resolution,[status(thm)],[39070, 39069])).
% 9.90/7.49 tff(39072,plain,
% 9.90/7.49 (~((~v39(constB79)) | (~v9(constB79)))),
% 9.90/7.49 inference(unit_resolution,[status(thm)],[39071, 39064])).
% 9.90/7.49 tff(39073,plain,
% 9.90/7.49 ((~(v141(constB79) <=> (~((~v39(constB79)) | (~v9(constB79)))))) | v141(constB79) | ((~v39(constB79)) | (~v9(constB79)))),
% 9.90/7.49 inference(tautology,[status(thm)],[])).
% 9.90/7.49 tff(39074,plain,
% 9.90/7.49 (v141(constB79)),
% 9.90/7.49 inference(unit_resolution,[status(thm)],[39073, 39072, 39024])).
% 9.90/7.49 tff(39075,plain,
% 9.90/7.49 ((v141(constB79) | v26(constB79)) | (~v141(constB79))),
% 9.90/7.49 inference(tautology,[status(thm)],[])).
% 9.90/7.49 tff(39076,plain,
% 9.90/7.49 (v141(constB79) | v26(constB79)),
% 9.90/7.49 inference(unit_resolution,[status(thm)],[39075, 39074])).
% 9.90/7.49 tff(39077,plain,
% 9.90/7.49 ((~(v140(constB79) <=> (v141(constB79) | v26(constB79)))) | v140(constB79) | (~(v141(constB79) | v26(constB79)))),
% 9.90/7.49 inference(tautology,[status(thm)],[])).
% 9.90/7.49 tff(39078,plain,
% 9.90/7.49 (v140(constB79)),
% 9.90/7.49 inference(unit_resolution,[status(thm)],[39077, 39076, 39022])).
% 9.90/7.49 tff(39079,plain,
% 9.90/7.49 ((~((~v139(constB79)) <=> v140(constB79))) | (~v139(constB79)) | (~v140(constB79))),
% 9.90/7.49 inference(tautology,[status(thm)],[])).
% 9.90/7.49 tff(39080,plain,
% 9.90/7.49 (~v139(constB79)),
% 9.90/7.49 inference(unit_resolution,[status(thm)],[39079, 39078, 39020])).
% 9.90/7.49 tff(39081,plain,
% 9.90/7.49 (((~v130(constB79)) | (~v139(constB79))) | v139(constB79)),
% 9.90/7.49 inference(tautology,[status(thm)],[])).
% 9.90/7.49 tff(39082,plain,
% 9.90/7.49 ((~v130(constB79)) | (~v139(constB79))),
% 9.90/7.49 inference(unit_resolution,[status(thm)],[39081, 39080])).
% 9.90/7.49 tff(39083,plain,
% 9.90/7.49 ((~(v155(constB79) <=> (~((~v130(constB79)) | (~v139(constB79)))))) | (~v155(constB79)) | (~((~v130(constB79)) | (~v139(constB79))))),
% 9.90/7.49 inference(tautology,[status(thm)],[])).
% 9.90/7.49 tff(39084,plain,
% 9.90/7.49 (~v155(constB79)),
% 9.90/7.49 inference(unit_resolution,[status(thm)],[39083, 39082, 39018])).
% 9.90/7.49 tff(39085,plain,
% 9.90/7.49 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB79) <=> (~((~v132(constB79)) | (~v154(constB79)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB79) <=> (~((~v132(constB79)) | (~v154(constB79))))))),
% 9.90/7.49 inference(rewrite,[status(thm)],[])).
% 9.90/7.49 tff(39086,plain,
% 9.90/7.49 ((v153(constB79) <=> (~((~v154(constB79)) | (~v132(constB79))))) <=> (v153(constB79) <=> (~((~v132(constB79)) | (~v154(constB79)))))),
% 9.90/7.49 inference(rewrite,[status(thm)],[])).
% 9.90/7.49 tff(39087,plain,
% 9.90/7.49 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB79) <=> (~((~v154(constB79)) | (~v132(constB79)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB79) <=> (~((~v132(constB79)) | (~v154(constB79))))))),
% 9.90/7.49 inference(monotonicity,[status(thm)],[39086])).
% 9.90/7.49 tff(39088,plain,
% 9.90/7.49 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB79) <=> (~((~v154(constB79)) | (~v132(constB79)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB79) <=> (~((~v132(constB79)) | (~v154(constB79))))))),
% 9.90/7.49 inference(transitivity,[status(thm)],[39087, 39085])).
% 9.90/7.49 tff(39089,plain,
% 9.90/7.49 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB79) <=> (~((~v154(constB79)) | (~v132(constB79)))))),
% 9.90/7.49 inference(quant_inst,[status(thm)],[])).
% 9.90/7.49 tff(39090,plain,
% 9.90/7.49 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB79) <=> (~((~v132(constB79)) | (~v154(constB79)))))),
% 9.90/7.49 inference(modus_ponens,[status(thm)],[39089, 39088])).
% 9.90/7.49 tff(39091,plain,
% 9.90/7.49 (v153(constB79) <=> (~((~v132(constB79)) | (~v154(constB79))))),
% 9.90/7.49 inference(unit_resolution,[status(thm)],[39090, 399])).
% 9.90/7.49 tff(39092,plain,
% 9.90/7.49 ((~![VarNext: $i] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB79) <=> v137(constB79))),
% 9.90/7.49 inference(quant_inst,[status(thm)],[])).
% 9.90/7.49 tff(39093,plain,
% 9.90/7.49 (v132(constB79) <=> v137(constB79)),
% 9.90/7.49 inference(unit_resolution,[status(thm)],[39092, 558])).
% 9.90/7.49 tff(39094,plain,
% 9.90/7.49 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB78, constB79)) | (v137(constB79) <=> v135(constB78)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB78, constB79)) | (v137(constB79) <=> v135(constB78)))),
% 9.90/7.49 inference(rewrite,[status(thm)],[])).
% 9.90/7.49 tff(39095,plain,
% 9.90/7.49 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB78, constB79)) | (v137(constB79) <=> v135(constB78)))),
% 9.90/7.49 inference(quant_inst,[status(thm)],[])).
% 9.90/7.49 tff(39096,plain,
% 9.90/7.49 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB78, constB79)) | (v137(constB79) <=> v135(constB78))),
% 9.90/7.49 inference(modus_ponens,[status(thm)],[39095, 39094])).
% 9.90/7.49 tff(39097,plain,
% 9.90/7.49 (v137(constB79) <=> v135(constB78)),
% 9.90/7.49 inference(unit_resolution,[status(thm)],[39096, 6165, 570])).
% 9.90/7.49 tff(39098,plain,
% 9.90/7.49 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB78) <=> (v138(constB78) | v142(constB78)))),
% 9.90/7.49 inference(quant_inst,[status(thm)],[])).
% 9.90/7.49 tff(39099,plain,
% 9.90/7.49 (v135(constB78) <=> (v138(constB78) | v142(constB78))),
% 9.90/7.49 inference(unit_resolution,[status(thm)],[39098, 584])).
% 9.90/7.49 tff(39100,plain,
% 9.90/7.49 ((~![VarCurr: $i] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB78) <=> (~((~v143(constB78)) | (~v144(constB78)))))),
% 9.90/7.49 inference(quant_inst,[status(thm)],[])).
% 9.90/7.49 tff(39101,plain,
% 9.90/7.49 (v142(constB78) <=> (~((~v143(constB78)) | (~v144(constB78))))),
% 9.90/7.49 inference(unit_resolution,[status(thm)],[39100, 596])).
% 9.90/7.49 tff(39102,plain,
% 9.90/7.49 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB78) <=> (~((~v141(constB78)) | (~v145(constB78)))))),
% 9.90/7.49 inference(quant_inst,[status(thm)],[])).
% 9.90/7.49 tff(39103,plain,
% 9.90/7.49 (v144(constB78) <=> (~((~v141(constB78)) | (~v145(constB78))))),
% 9.90/7.49 inference(unit_resolution,[status(thm)],[39102, 608])).
% 9.90/7.49 tff(39104,plain,
% 9.90/7.49 (((~v141(constB78)) | (~v145(constB78))) | v141(constB78)),
% 9.90/7.49 inference(tautology,[status(thm)],[])).
% 9.90/7.49 tff(39105,plain,
% 9.90/7.49 ((~v141(constB78)) | (~v145(constB78))),
% 9.90/7.49 inference(unit_resolution,[status(thm)],[39104, 32939])).
% 9.90/7.49 tff(39106,plain,
% 9.90/7.49 ((~(v144(constB78) <=> (~((~v141(constB78)) | (~v145(constB78)))))) | (~v144(constB78)) | (~((~v141(constB78)) | (~v145(constB78))))),
% 9.90/7.49 inference(tautology,[status(thm)],[])).
% 9.90/7.49 tff(39107,plain,
% 9.90/7.49 ((~(v144(constB78) <=> (~((~v141(constB78)) | (~v145(constB78)))))) | (~v144(constB78))),
% 9.90/7.49 inference(unit_resolution,[status(thm)],[39106, 39105])).
% 9.90/7.49 tff(39108,plain,
% 9.90/7.49 (~v144(constB78)),
% 9.90/7.49 inference(unit_resolution,[status(thm)],[39107, 39103])).
% 9.90/7.49 tff(39109,plain,
% 9.90/7.49 (((~v143(constB78)) | (~v144(constB78))) | v144(constB78)),
% 9.90/7.49 inference(tautology,[status(thm)],[])).
% 9.90/7.49 tff(39110,plain,
% 9.90/7.49 ((~v143(constB78)) | (~v144(constB78))),
% 9.90/7.49 inference(unit_resolution,[status(thm)],[39109, 39108])).
% 9.90/7.49 tff(39111,plain,
% 9.90/7.49 ((~(v142(constB78) <=> (~((~v143(constB78)) | (~v144(constB78)))))) | (~v142(constB78)) | (~((~v143(constB78)) | (~v144(constB78))))),
% 9.90/7.49 inference(tautology,[status(thm)],[])).
% 9.90/7.49 tff(39112,plain,
% 9.90/7.49 (~v142(constB78)),
% 9.90/7.49 inference(unit_resolution,[status(thm)],[39111, 39110, 39101])).
% 9.90/7.49 tff(39113,plain,
% 9.90/7.49 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB78) <=> (~((~v132(constB78)) | (~v139(constB78)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB78) <=> (~((~v132(constB78)) | (~v139(constB78))))))),
% 9.90/7.49 inference(rewrite,[status(thm)],[])).
% 9.90/7.49 tff(39114,plain,
% 9.90/7.49 ((v138(constB78) <=> (~((~v139(constB78)) | (~v132(constB78))))) <=> (v138(constB78) <=> (~((~v132(constB78)) | (~v139(constB78)))))),
% 9.90/7.49 inference(rewrite,[status(thm)],[])).
% 9.90/7.49 tff(39115,plain,
% 9.90/7.49 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB78) <=> (~((~v139(constB78)) | (~v132(constB78)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB78) <=> (~((~v132(constB78)) | (~v139(constB78))))))),
% 9.90/7.49 inference(monotonicity,[status(thm)],[39114])).
% 9.90/7.49 tff(39116,plain,
% 9.90/7.49 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB78) <=> (~((~v139(constB78)) | (~v132(constB78)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB78) <=> (~((~v132(constB78)) | (~v139(constB78))))))),
% 9.90/7.49 inference(transitivity,[status(thm)],[39115, 39113])).
% 9.90/7.49 tff(39117,plain,
% 9.90/7.49 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB78) <=> (~((~v139(constB78)) | (~v132(constB78)))))),
% 9.90/7.49 inference(quant_inst,[status(thm)],[])).
% 9.90/7.49 tff(39118,plain,
% 9.90/7.49 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB78) <=> (~((~v132(constB78)) | (~v139(constB78)))))),
% 9.90/7.49 inference(modus_ponens,[status(thm)],[39117, 39116])).
% 9.90/7.49 tff(39119,plain,
% 9.90/7.49 (v138(constB78) <=> (~((~v132(constB78)) | (~v139(constB78))))),
% 9.90/7.49 inference(unit_resolution,[status(thm)],[39118, 644])).
% 9.90/7.49 tff(39120,plain,
% 9.90/7.49 ((~![VarNext: $i] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB78) <=> v137(constB78))),
% 9.90/7.49 inference(quant_inst,[status(thm)],[])).
% 9.90/7.49 tff(39121,plain,
% 9.90/7.49 (v132(constB78) <=> v137(constB78)),
% 9.90/7.49 inference(unit_resolution,[status(thm)],[39120, 558])).
% 9.90/7.49 tff(39122,plain,
% 9.90/7.49 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB77, constB78)) | (v137(constB78) <=> v135(constB77)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB77, constB78)) | (v137(constB78) <=> v135(constB77)))),
% 9.90/7.49 inference(rewrite,[status(thm)],[])).
% 9.90/7.49 tff(39123,plain,
% 9.90/7.49 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB77, constB78)) | (v137(constB78) <=> v135(constB77)))),
% 9.90/7.49 inference(quant_inst,[status(thm)],[])).
% 9.90/7.49 tff(39124,plain,
% 9.90/7.49 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB77, constB78)) | (v137(constB78) <=> v135(constB77))),
% 9.90/7.49 inference(modus_ponens,[status(thm)],[39123, 39122])).
% 9.90/7.49 tff(39125,plain,
% 9.90/7.49 (v137(constB78) <=> v135(constB77)),
% 9.90/7.49 inference(unit_resolution,[status(thm)],[39124, 6197, 570])).
% 9.90/7.49 tff(39126,plain,
% 9.90/7.49 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB77) <=> (v138(constB77) | v142(constB77)))),
% 9.90/7.49 inference(quant_inst,[status(thm)],[])).
% 9.90/7.49 tff(39127,plain,
% 9.90/7.49 (v135(constB77) <=> (v138(constB77) | v142(constB77))),
% 9.90/7.49 inference(unit_resolution,[status(thm)],[39126, 584])).
% 9.90/7.49 tff(39128,plain,
% 9.90/7.49 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB77) <=> (~((~v132(constB77)) | (~v139(constB77)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB77) <=> (~((~v132(constB77)) | (~v139(constB77))))))),
% 9.90/7.49 inference(rewrite,[status(thm)],[])).
% 9.90/7.49 tff(39129,plain,
% 9.90/7.49 ((v138(constB77) <=> (~((~v139(constB77)) | (~v132(constB77))))) <=> (v138(constB77) <=> (~((~v132(constB77)) | (~v139(constB77)))))),
% 9.90/7.49 inference(rewrite,[status(thm)],[])).
% 9.90/7.49 tff(39130,plain,
% 9.90/7.50 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB77) <=> (~((~v139(constB77)) | (~v132(constB77)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB77) <=> (~((~v132(constB77)) | (~v139(constB77))))))),
% 9.90/7.50 inference(monotonicity,[status(thm)],[39129])).
% 9.90/7.50 tff(39131,plain,
% 9.90/7.50 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB77) <=> (~((~v139(constB77)) | (~v132(constB77)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB77) <=> (~((~v132(constB77)) | (~v139(constB77))))))),
% 9.90/7.50 inference(transitivity,[status(thm)],[39130, 39128])).
% 9.90/7.50 tff(39132,plain,
% 9.90/7.50 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB77) <=> (~((~v139(constB77)) | (~v132(constB77)))))),
% 9.90/7.50 inference(quant_inst,[status(thm)],[])).
% 9.90/7.50 tff(39133,plain,
% 9.90/7.50 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB77) <=> (~((~v132(constB77)) | (~v139(constB77)))))),
% 9.90/7.50 inference(modus_ponens,[status(thm)],[39132, 39131])).
% 9.90/7.50 tff(39134,plain,
% 9.90/7.50 (v138(constB77) <=> (~((~v132(constB77)) | (~v139(constB77))))),
% 9.90/7.50 inference(unit_resolution,[status(thm)],[39133, 644])).
% 9.90/7.50 tff(39135,plain,
% 9.90/7.50 (((~v132(constB77)) | (~v139(constB77))) | v139(constB77)),
% 9.90/7.50 inference(tautology,[status(thm)],[])).
% 9.90/7.50 tff(39136,plain,
% 9.90/7.50 ((~v132(constB77)) | (~v139(constB77))),
% 9.90/7.50 inference(unit_resolution,[status(thm)],[39135, 33032])).
% 9.90/7.50 tff(39137,plain,
% 9.90/7.50 ((~(v138(constB77) <=> (~((~v132(constB77)) | (~v139(constB77)))))) | (~v138(constB77)) | (~((~v132(constB77)) | (~v139(constB77))))),
% 9.90/7.50 inference(tautology,[status(thm)],[])).
% 9.90/7.50 tff(39138,plain,
% 9.90/7.50 (~v138(constB77)),
% 9.90/7.50 inference(unit_resolution,[status(thm)],[39137, 39136, 39134])).
% 9.90/7.50 tff(39139,plain,
% 9.90/7.50 ((~![VarCurr: $i] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB77) <=> (~((~v143(constB77)) | (~v144(constB77)))))),
% 9.90/7.50 inference(quant_inst,[status(thm)],[])).
% 9.90/7.50 tff(39140,plain,
% 9.90/7.50 (v142(constB77) <=> (~((~v143(constB77)) | (~v144(constB77))))),
% 9.90/7.50 inference(unit_resolution,[status(thm)],[39139, 596])).
% 9.90/7.50 tff(39141,plain,
% 9.90/7.50 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB77) <=> (~((~v141(constB77)) | (~v145(constB77)))))),
% 9.90/7.50 inference(quant_inst,[status(thm)],[])).
% 9.90/7.50 tff(39142,plain,
% 9.90/7.50 (v144(constB77) <=> (~((~v141(constB77)) | (~v145(constB77))))),
% 9.90/7.50 inference(unit_resolution,[status(thm)],[39141, 608])).
% 9.90/7.50 tff(39143,plain,
% 9.90/7.50 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB77) <=> (~(v84(constB77, bitIndex2) | v84(constB77, bitIndex1) | (~v84(constB77, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB77) <=> (~(v84(constB77, bitIndex2) | v84(constB77, bitIndex1) | (~v84(constB77, bitIndex0))))))),
% 9.90/7.50 inference(rewrite,[status(thm)],[])).
% 9.90/7.50 tff(39144,plain,
% 9.90/7.50 ((v145(constB77) <=> (~(v84(constB77, bitIndex1) | v84(constB77, bitIndex2) | (~v84(constB77, bitIndex0))))) <=> (v145(constB77) <=> (~(v84(constB77, bitIndex2) | v84(constB77, bitIndex1) | (~v84(constB77, bitIndex0)))))),
% 9.90/7.50 inference(rewrite,[status(thm)],[])).
% 9.90/7.50 tff(39145,plain,
% 9.90/7.50 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB77) <=> (~(v84(constB77, bitIndex1) | v84(constB77, bitIndex2) | (~v84(constB77, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB77) <=> (~(v84(constB77, bitIndex2) | v84(constB77, bitIndex1) | (~v84(constB77, bitIndex0))))))),
% 9.90/7.50 inference(monotonicity,[status(thm)],[39144])).
% 9.90/7.50 tff(39146,plain,
% 9.90/7.50 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB77) <=> (~(v84(constB77, bitIndex1) | v84(constB77, bitIndex2) | (~v84(constB77, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB77) <=> (~(v84(constB77, bitIndex2) | v84(constB77, bitIndex1) | (~v84(constB77, bitIndex0))))))),
% 9.90/7.50 inference(transitivity,[status(thm)],[39145, 39143])).
% 9.90/7.50 tff(39147,plain,
% 9.90/7.50 ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB77) <=> (~(v84(constB77, bitIndex1) | v84(constB77, bitIndex2) | (~v84(constB77, bitIndex0)))))),
% 9.90/7.50 inference(quant_inst,[status(thm)],[])).
% 9.90/7.50 tff(39148,plain,
% 9.90/7.50 ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB77) <=> (~(v84(constB77, bitIndex2) | v84(constB77, bitIndex1) | (~v84(constB77, bitIndex0)))))),
% 9.90/7.50 inference(modus_ponens,[status(thm)],[39147, 39146])).
% 9.90/7.50 tff(39149,plain,
% 9.90/7.50 (v145(constB77) <=> (~(v84(constB77, bitIndex2) | v84(constB77, bitIndex1) | (~v84(constB77, bitIndex0))))),
% 9.90/7.50 inference(unit_resolution,[status(thm)],[39148, 755])).
% 9.90/7.50 tff(39150,plain,
% 9.90/7.50 ((v84(constB77, bitIndex2) | v84(constB77, bitIndex1) | (~v84(constB77, bitIndex0))) | (~v84(constB77, bitIndex1))),
% 9.90/7.50 inference(tautology,[status(thm)],[])).
% 9.90/7.50 tff(39151,plain,
% 9.90/7.50 (v84(constB77, bitIndex2) | v84(constB77, bitIndex1) | (~v84(constB77, bitIndex0))),
% 9.90/7.50 inference(unit_resolution,[status(thm)],[39150, 16170])).
% 9.90/7.50 tff(39152,plain,
% 9.90/7.50 ((~(v145(constB77) <=> (~(v84(constB77, bitIndex2) | v84(constB77, bitIndex1) | (~v84(constB77, bitIndex0)))))) | (~v145(constB77)) | (~(v84(constB77, bitIndex2) | v84(constB77, bitIndex1) | (~v84(constB77, bitIndex0))))),
% 9.90/7.50 inference(tautology,[status(thm)],[])).
% 9.90/7.50 tff(39153,plain,
% 9.90/7.50 (~v145(constB77)),
% 9.90/7.50 inference(unit_resolution,[status(thm)],[39152, 39151, 39149])).
% 9.90/7.50 tff(39154,plain,
% 9.90/7.50 (((~v141(constB77)) | (~v145(constB77))) | v145(constB77)),
% 9.90/7.50 inference(tautology,[status(thm)],[])).
% 9.90/7.50 tff(39155,plain,
% 9.90/7.50 ((~v141(constB77)) | (~v145(constB77))),
% 9.90/7.50 inference(unit_resolution,[status(thm)],[39154, 39153])).
% 9.90/7.50 tff(39156,plain,
% 9.90/7.50 ((~(v144(constB77) <=> (~((~v141(constB77)) | (~v145(constB77)))))) | (~v144(constB77)) | (~((~v141(constB77)) | (~v145(constB77))))),
% 9.90/7.50 inference(tautology,[status(thm)],[])).
% 9.90/7.50 tff(39157,plain,
% 9.90/7.50 (~v144(constB77)),
% 9.90/7.50 inference(unit_resolution,[status(thm)],[39156, 39155, 39142])).
% 9.90/7.50 tff(39158,plain,
% 9.90/7.50 (((~v143(constB77)) | (~v144(constB77))) | v144(constB77)),
% 9.90/7.50 inference(tautology,[status(thm)],[])).
% 9.90/7.50 tff(39159,plain,
% 9.90/7.50 ((~v143(constB77)) | (~v144(constB77))),
% 9.90/7.50 inference(unit_resolution,[status(thm)],[39158, 39157])).
% 9.90/7.50 tff(39160,plain,
% 9.90/7.50 ((~(v142(constB77) <=> (~((~v143(constB77)) | (~v144(constB77)))))) | (~v142(constB77)) | (~((~v143(constB77)) | (~v144(constB77))))),
% 9.90/7.50 inference(tautology,[status(thm)],[])).
% 9.90/7.50 tff(39161,plain,
% 9.90/7.50 (~v142(constB77)),
% 9.90/7.50 inference(unit_resolution,[status(thm)],[39160, 39159, 39140])).
% 9.90/7.50 tff(39162,plain,
% 9.90/7.50 ((~(v138(constB77) | v142(constB77))) | v138(constB77) | v142(constB77)),
% 9.90/7.50 inference(tautology,[status(thm)],[])).
% 9.90/7.50 tff(39163,plain,
% 9.90/7.50 (~(v138(constB77) | v142(constB77))),
% 9.90/7.50 inference(unit_resolution,[status(thm)],[39162, 39161, 39138])).
% 9.90/7.50 tff(39164,plain,
% 9.90/7.50 ((~(v135(constB77) <=> (v138(constB77) | v142(constB77)))) | (~v135(constB77)) | (v138(constB77) | v142(constB77))),
% 9.90/7.50 inference(tautology,[status(thm)],[])).
% 9.90/7.50 tff(39165,plain,
% 9.90/7.50 (~v135(constB77)),
% 9.90/7.50 inference(unit_resolution,[status(thm)],[39164, 39163, 39127])).
% 9.90/7.50 tff(39166,plain,
% 9.90/7.50 ((~(v137(constB78) <=> v135(constB77))) | (~v137(constB78)) | v135(constB77)),
% 9.90/7.50 inference(tautology,[status(thm)],[])).
% 9.90/7.50 tff(39167,plain,
% 9.90/7.50 (~v137(constB78)),
% 9.90/7.50 inference(unit_resolution,[status(thm)],[39166, 39165, 39125])).
% 9.90/7.50 tff(39168,plain,
% 9.90/7.50 ((~(v132(constB78) <=> v137(constB78))) | (~v132(constB78)) | v137(constB78)),
% 9.90/7.50 inference(tautology,[status(thm)],[])).
% 9.90/7.50 tff(39169,plain,
% 9.90/7.50 (~v132(constB78)),
% 9.90/7.50 inference(unit_resolution,[status(thm)],[39168, 39167, 39121])).
% 9.90/7.50 tff(39170,plain,
% 9.90/7.50 (((~v132(constB78)) | (~v139(constB78))) | v132(constB78)),
% 9.90/7.50 inference(tautology,[status(thm)],[])).
% 9.90/7.50 tff(39171,plain,
% 9.90/7.50 ((~v132(constB78)) | (~v139(constB78))),
% 9.90/7.50 inference(unit_resolution,[status(thm)],[39170, 39169])).
% 9.90/7.50 tff(39172,plain,
% 9.90/7.50 ((~(v138(constB78) <=> (~((~v132(constB78)) | (~v139(constB78)))))) | (~v138(constB78)) | (~((~v132(constB78)) | (~v139(constB78))))),
% 9.90/7.50 inference(tautology,[status(thm)],[])).
% 9.90/7.50 tff(39173,plain,
% 9.90/7.50 (~v138(constB78)),
% 9.90/7.50 inference(unit_resolution,[status(thm)],[39172, 39171, 39119])).
% 9.90/7.50 tff(39174,plain,
% 9.90/7.50 ((~(v138(constB78) | v142(constB78))) | v138(constB78) | v142(constB78)),
% 9.90/7.50 inference(tautology,[status(thm)],[])).
% 9.90/7.50 tff(39175,plain,
% 9.90/7.50 (~(v138(constB78) | v142(constB78))),
% 9.90/7.50 inference(unit_resolution,[status(thm)],[39174, 39173, 39112])).
% 9.90/7.50 tff(39176,plain,
% 9.90/7.50 ((~(v135(constB78) <=> (v138(constB78) | v142(constB78)))) | (~v135(constB78)) | (v138(constB78) | v142(constB78))),
% 9.90/7.50 inference(tautology,[status(thm)],[])).
% 9.90/7.50 tff(39177,plain,
% 9.90/7.50 (~v135(constB78)),
% 9.90/7.50 inference(unit_resolution,[status(thm)],[39176, 39175, 39099])).
% 9.90/7.50 tff(39178,plain,
% 9.90/7.50 ((~(v137(constB79) <=> v135(constB78))) | (~v137(constB79)) | v135(constB78)),
% 9.90/7.50 inference(tautology,[status(thm)],[])).
% 9.90/7.50 tff(39179,plain,
% 9.90/7.50 (~v137(constB79)),
% 9.90/7.50 inference(unit_resolution,[status(thm)],[39178, 39177, 39097])).
% 9.90/7.50 tff(39180,plain,
% 9.90/7.50 ((~(v132(constB79) <=> v137(constB79))) | (~v132(constB79)) | v137(constB79)),
% 9.90/7.50 inference(tautology,[status(thm)],[])).
% 9.90/7.50 tff(39181,plain,
% 9.90/7.50 (~v132(constB79)),
% 9.90/7.50 inference(unit_resolution,[status(thm)],[39180, 39179, 39093])).
% 9.90/7.50 tff(39182,plain,
% 9.90/7.50 (((~v132(constB79)) | (~v154(constB79))) | v132(constB79)),
% 9.90/7.50 inference(tautology,[status(thm)],[])).
% 9.90/7.50 tff(39183,plain,
% 9.90/7.50 ((~v132(constB79)) | (~v154(constB79))),
% 9.90/7.50 inference(unit_resolution,[status(thm)],[39182, 39181])).
% 9.90/7.50 tff(39184,plain,
% 9.90/7.50 ((~(v153(constB79) <=> (~((~v132(constB79)) | (~v154(constB79)))))) | (~v153(constB79)) | (~((~v132(constB79)) | (~v154(constB79))))),
% 9.90/7.50 inference(tautology,[status(thm)],[])).
% 9.90/7.50 tff(39185,plain,
% 9.90/7.50 (~v153(constB79)),
% 9.90/7.50 inference(unit_resolution,[status(thm)],[39184, 39183, 39091])).
% 9.90/7.50 tff(39186,plain,
% 9.90/7.50 ((~(v153(constB79) | v155(constB79))) | v153(constB79) | v155(constB79)),
% 9.90/7.50 inference(tautology,[status(thm)],[])).
% 9.90/7.50 tff(39187,plain,
% 9.90/7.50 (~(v153(constB79) | v155(constB79))),
% 9.90/7.50 inference(unit_resolution,[status(thm)],[39186, 39185, 39084])).
% 9.90/7.50 tff(39188,plain,
% 9.90/7.50 ((~(v150(constB79) <=> (v153(constB79) | v155(constB79)))) | (~v150(constB79)) | (v153(constB79) | v155(constB79))),
% 9.90/7.50 inference(tautology,[status(thm)],[])).
% 9.90/7.50 tff(39189,plain,
% 9.90/7.50 (~v150(constB79)),
% 9.90/7.50 inference(unit_resolution,[status(thm)],[39188, 39187, 39011])).
% 9.90/7.50 tff(39190,plain,
% 9.90/7.50 ((~(v152(constB80) <=> v150(constB79))) | (~v152(constB80)) | v150(constB79)),
% 9.90/7.50 inference(tautology,[status(thm)],[])).
% 9.90/7.50 tff(39191,plain,
% 9.90/7.50 (~v152(constB80)),
% 9.90/7.50 inference(unit_resolution,[status(thm)],[39190, 39189, 39009])).
% 9.90/7.50 tff(39192,plain,
% 9.90/7.50 ((~(v130(constB80) <=> v152(constB80))) | (~v130(constB80)) | v152(constB80)),
% 9.90/7.50 inference(tautology,[status(thm)],[])).
% 9.90/7.50 tff(39193,plain,
% 9.90/7.50 (~v130(constB80)),
% 9.90/7.50 inference(unit_resolution,[status(thm)],[39192, 39191, 39005])).
% 9.90/7.50 tff(39194,plain,
% 9.90/7.50 (((~v130(constB80)) | (~v139(constB80))) | v130(constB80)),
% 9.90/7.50 inference(tautology,[status(thm)],[])).
% 9.90/7.50 tff(39195,plain,
% 9.90/7.50 ((~v130(constB80)) | (~v139(constB80))),
% 9.90/7.50 inference(unit_resolution,[status(thm)],[39194, 39193])).
% 9.90/7.50 tff(39196,plain,
% 9.90/7.50 ((~(v155(constB80) <=> (~((~v130(constB80)) | (~v139(constB80)))))) | (~v155(constB80)) | (~((~v130(constB80)) | (~v139(constB80))))),
% 9.90/7.50 inference(tautology,[status(thm)],[])).
% 9.90/7.50 tff(39197,plain,
% 9.90/7.50 (~v155(constB80)),
% 9.90/7.50 inference(unit_resolution,[status(thm)],[39196, 39195, 39003])).
% 9.90/7.50 tff(39198,plain,
% 9.90/7.50 ((~(v153(constB80) | v155(constB80))) | v153(constB80) | v155(constB80)),
% 9.90/7.50 inference(tautology,[status(thm)],[])).
% 9.90/7.50 tff(39199,plain,
% 9.90/7.50 (~(v153(constB80) | v155(constB80))),
% 9.90/7.50 inference(unit_resolution,[status(thm)],[39198, 39197, 38996])).
% 9.90/7.50 tff(39200,plain,
% 9.90/7.50 ((~(v150(constB80) <=> (v153(constB80) | v155(constB80)))) | (~v150(constB80)) | (v153(constB80) | v155(constB80))),
% 9.90/7.50 inference(tautology,[status(thm)],[])).
% 9.90/7.50 tff(39201,plain,
% 9.90/7.50 (~v150(constB80)),
% 9.90/7.50 inference(unit_resolution,[status(thm)],[39200, 39199, 38961])).
% 9.90/7.50 tff(39202,plain,
% 9.90/7.50 ((~(v152(constB81) <=> v150(constB80))) | (~v152(constB81)) | v150(constB80)),
% 9.90/7.50 inference(tautology,[status(thm)],[])).
% 9.90/7.50 tff(39203,plain,
% 9.90/7.50 (~v152(constB81)),
% 9.90/7.50 inference(unit_resolution,[status(thm)],[39202, 39201, 38959])).
% 9.90/7.50 tff(39204,plain,
% 9.90/7.50 ((~(v130(constB81) <=> v152(constB81))) | (~v130(constB81)) | v152(constB81)),
% 9.90/7.50 inference(tautology,[status(thm)],[])).
% 9.90/7.50 tff(39205,plain,
% 9.90/7.50 (~v130(constB81)),
% 9.90/7.50 inference(unit_resolution,[status(thm)],[39204, 39203, 38955])).
% 9.90/7.50 tff(39206,plain,
% 9.90/7.50 (((~v130(constB81)) | (~v154(constB81))) | v130(constB81)),
% 9.90/7.50 inference(tautology,[status(thm)],[])).
% 9.90/7.50 tff(39207,plain,
% 9.90/7.50 ((~v130(constB81)) | (~v154(constB81))),
% 9.90/7.50 inference(unit_resolution,[status(thm)],[39206, 39205])).
% 9.90/7.50 tff(39208,plain,
% 9.90/7.50 ((~(v164(constB81) <=> (~((~v130(constB81)) | (~v154(constB81)))))) | (~v164(constB81)) | (~((~v130(constB81)) | (~v154(constB81))))),
% 9.90/7.50 inference(tautology,[status(thm)],[])).
% 9.90/7.50 tff(39209,plain,
% 9.90/7.50 (~v164(constB81)),
% 9.90/7.50 inference(unit_resolution,[status(thm)],[39208, 39207, 38953])).
% 9.90/7.50 tff(39210,plain,
% 9.90/7.50 ((~(v163(constB81) | v164(constB81))) | v163(constB81) | v164(constB81)),
% 9.90/7.50 inference(tautology,[status(thm)],[])).
% 9.90/7.50 tff(39211,plain,
% 9.90/7.50 (~(v163(constB81) | v164(constB81))),
% 9.90/7.50 inference(unit_resolution,[status(thm)],[39210, 39209, 38946])).
% 9.90/7.50 tff(39212,plain,
% 9.90/7.50 ((~(v160(constB81) <=> (v163(constB81) | v164(constB81)))) | (~v160(constB81)) | (v163(constB81) | v164(constB81))),
% 9.90/7.50 inference(tautology,[status(thm)],[])).
% 9.90/7.50 tff(39213,plain,
% 9.90/7.50 (~v160(constB81)),
% 9.90/7.50 inference(unit_resolution,[status(thm)],[39212, 39211, 38935])).
% 9.90/7.50 tff(39214,plain,
% 9.90/7.50 ((~(v162(constB82) <=> v160(constB81))) | (~v162(constB82)) | v160(constB81)),
% 9.90/7.50 inference(tautology,[status(thm)],[])).
% 9.90/7.50 tff(39215,plain,
% 9.90/7.50 (~v162(constB82)),
% 9.90/7.50 inference(unit_resolution,[status(thm)],[39214, 39213, 38933])).
% 9.90/7.50 tff(39216,plain,
% 9.90/7.50 ((~(v128(constB82) <=> v162(constB82))) | (~v128(constB82)) | v162(constB82)),
% 9.90/7.50 inference(tautology,[status(thm)],[])).
% 9.90/7.50 tff(39217,plain,
% 9.90/7.50 (~v128(constB82)),
% 9.90/7.50 inference(unit_resolution,[status(thm)],[39216, 39215, 38929])).
% 9.90/7.50 tff(39218,plain,
% 9.90/7.50 (((~v128(constB82)) | (~v139(constB82))) | v128(constB82)),
% 9.90/7.50 inference(tautology,[status(thm)],[])).
% 9.90/7.50 tff(39219,plain,
% 9.90/7.50 ((~v128(constB82)) | (~v139(constB82))),
% 9.90/7.50 inference(unit_resolution,[status(thm)],[39218, 39217])).
% 9.90/7.50 tff(39220,plain,
% 9.90/7.50 ((~(v163(constB82) <=> (~((~v128(constB82)) | (~v139(constB82)))))) | (~v163(constB82)) | (~((~v128(constB82)) | (~v139(constB82))))),
% 9.90/7.50 inference(tautology,[status(thm)],[])).
% 9.90/7.50 tff(39221,plain,
% 9.90/7.50 (~v163(constB82)),
% 9.90/7.50 inference(unit_resolution,[status(thm)],[39220, 39219, 38927])).
% 9.90/7.50 tff(39222,plain,
% 9.90/7.50 ((~(v163(constB82) | v164(constB82))) | v163(constB82) | v164(constB82)),
% 9.90/7.50 inference(tautology,[status(thm)],[])).
% 9.90/7.50 tff(39223,plain,
% 9.90/7.50 (~(v163(constB82) | v164(constB82))),
% 9.90/7.50 inference(unit_resolution,[status(thm)],[39222, 39221, 38920])).
% 9.90/7.50 tff(39224,plain,
% 9.90/7.50 ((~(v160(constB82) <=> (v163(constB82) | v164(constB82)))) | (~v160(constB82)) | (v163(constB82) | v164(constB82))),
% 9.90/7.50 inference(tautology,[status(thm)],[])).
% 9.90/7.50 tff(39225,plain,
% 9.90/7.50 (~v160(constB82)),
% 9.90/7.50 inference(unit_resolution,[status(thm)],[39224, 39223, 38897])).
% 9.90/7.50 tff(39226,plain,
% 9.90/7.50 ((~(v162(constB83) <=> v160(constB82))) | (~v162(constB83)) | v160(constB82)),
% 9.90/7.50 inference(tautology,[status(thm)],[])).
% 9.90/7.50 tff(39227,plain,
% 9.90/7.50 (~v162(constB83)),
% 9.90/7.50 inference(unit_resolution,[status(thm)],[39226, 39225, 38895])).
% 9.90/7.50 tff(39228,plain,
% 9.90/7.50 ($false),
% 9.90/7.50 inference(unit_resolution,[status(thm)],[39227, 38891])).
% 9.90/7.50 tff(39229,plain,(~(constB83 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.90/7.50 tff(39230,assumption,(constB157 = VarCurr!0), introduced(assumption)).
% 9.90/7.50 tff(39231,plain,
% 9.90/7.50 (v162(constB157) <=> v162(VarCurr!0)),
% 9.90/7.50 inference(monotonicity,[status(thm)],[39230])).
% 9.90/7.50 tff(39232,plain,
% 9.90/7.50 (v162(VarCurr!0) <=> v162(constB157)),
% 9.90/7.50 inference(symmetry,[status(thm)],[39231])).
% 9.90/7.50 tff(39233,plain,
% 9.90/7.50 (v162(constB157)),
% 9.90/7.50 inference(modus_ponens,[status(thm)],[59, 39232])).
% 9.90/7.50 tff(39234,plain,
% 9.90/7.50 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB156, constB157)) | (v162(constB157) <=> v160(constB156)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB156, constB157)) | (v162(constB157) <=> v160(constB156)))),
% 9.90/7.50 inference(rewrite,[status(thm)],[])).
% 9.90/7.50 tff(39235,plain,
% 9.90/7.50 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB156, constB157)) | (v162(constB157) <=> v160(constB156)))),
% 9.90/7.50 inference(quant_inst,[status(thm)],[])).
% 9.90/7.50 tff(39236,plain,
% 9.90/7.50 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB156, constB157)) | (v162(constB157) <=> v160(constB156))),
% 9.90/7.50 inference(modus_ponens,[status(thm)],[39235, 39234])).
% 9.90/7.50 tff(39237,plain,
% 9.90/7.50 (v162(constB157) <=> v160(constB156)),
% 9.90/7.50 inference(unit_resolution,[status(thm)],[39236, 2615, 70])).
% 9.90/7.50 tff(39238,plain,
% 9.90/7.50 ((~![VarCurr: $i] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB156) <=> (v163(constB156) | v164(constB156)))),
% 9.90/7.50 inference(quant_inst,[status(thm)],[])).
% 9.90/7.50 tff(39239,plain,
% 9.90/7.50 (v160(constB156) <=> (v163(constB156) | v164(constB156))),
% 9.90/7.50 inference(unit_resolution,[status(thm)],[39238, 84])).
% 9.90/7.50 tff(39240,plain,
% 9.90/7.50 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB156) <=> (~((~v130(constB156)) | (~v154(constB156)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB156) <=> (~((~v130(constB156)) | (~v154(constB156))))))),
% 9.90/7.50 inference(rewrite,[status(thm)],[])).
% 9.90/7.50 tff(39241,plain,
% 9.90/7.50 ((v164(constB156) <=> (~((~v154(constB156)) | (~v130(constB156))))) <=> (v164(constB156) <=> (~((~v130(constB156)) | (~v154(constB156)))))),
% 9.90/7.50 inference(rewrite,[status(thm)],[])).
% 9.90/7.50 tff(39242,plain,
% 9.90/7.50 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB156) <=> (~((~v154(constB156)) | (~v130(constB156)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB156) <=> (~((~v130(constB156)) | (~v154(constB156))))))),
% 9.90/7.50 inference(monotonicity,[status(thm)],[39241])).
% 9.90/7.50 tff(39243,plain,
% 9.90/7.50 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB156) <=> (~((~v154(constB156)) | (~v130(constB156)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB156) <=> (~((~v130(constB156)) | (~v154(constB156))))))),
% 9.90/7.50 inference(transitivity,[status(thm)],[39242, 39240])).
% 9.90/7.50 tff(39244,plain,
% 9.90/7.50 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB156) <=> (~((~v154(constB156)) | (~v130(constB156)))))),
% 9.90/7.50 inference(quant_inst,[status(thm)],[])).
% 9.90/7.50 tff(39245,plain,
% 9.90/7.50 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB156) <=> (~((~v130(constB156)) | (~v154(constB156)))))),
% 9.90/7.50 inference(modus_ponens,[status(thm)],[39244, 39243])).
% 9.90/7.50 tff(39246,plain,
% 9.90/7.50 (v164(constB156) <=> (~((~v130(constB156)) | (~v154(constB156))))),
% 9.90/7.50 inference(unit_resolution,[status(thm)],[39245, 96])).
% 9.90/7.50 tff(39247,plain,
% 9.90/7.50 (((~v130(constB156)) | (~v154(constB156))) | v154(constB156)),
% 9.90/7.50 inference(tautology,[status(thm)],[])).
% 9.90/7.50 tff(39248,plain,
% 9.90/7.50 ((~v130(constB156)) | (~v154(constB156))),
% 9.90/7.50 inference(unit_resolution,[status(thm)],[39247, 27781])).
% 9.90/7.50 tff(39249,plain,
% 9.90/7.50 ((~(v164(constB156) <=> (~((~v130(constB156)) | (~v154(constB156)))))) | (~v164(constB156)) | (~((~v130(constB156)) | (~v154(constB156))))),
% 9.90/7.50 inference(tautology,[status(thm)],[])).
% 9.90/7.50 tff(39250,plain,
% 9.90/7.50 (~v164(constB156)),
% 9.90/7.50 inference(unit_resolution,[status(thm)],[39249, 39248, 39246])).
% 9.90/7.50 tff(39251,plain,
% 9.90/7.50 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB156) <=> (~((~v128(constB156)) | (~v139(constB156)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB156) <=> (~((~v128(constB156)) | (~v139(constB156))))))),
% 9.90/7.50 inference(rewrite,[status(thm)],[])).
% 9.90/7.50 tff(39252,plain,
% 9.90/7.50 ((v163(constB156) <=> (~((~v139(constB156)) | (~v128(constB156))))) <=> (v163(constB156) <=> (~((~v128(constB156)) | (~v139(constB156)))))),
% 9.90/7.50 inference(rewrite,[status(thm)],[])).
% 9.90/7.50 tff(39253,plain,
% 9.90/7.50 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB156) <=> (~((~v139(constB156)) | (~v128(constB156)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB156) <=> (~((~v128(constB156)) | (~v139(constB156))))))),
% 9.90/7.50 inference(monotonicity,[status(thm)],[39252])).
% 9.90/7.50 tff(39254,plain,
% 9.90/7.50 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB156) <=> (~((~v139(constB156)) | (~v128(constB156)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB156) <=> (~((~v128(constB156)) | (~v139(constB156))))))),
% 9.90/7.50 inference(transitivity,[status(thm)],[39253, 39251])).
% 9.90/7.50 tff(39255,plain,
% 9.90/7.50 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB156) <=> (~((~v139(constB156)) | (~v128(constB156)))))),
% 9.90/7.50 inference(quant_inst,[status(thm)],[])).
% 9.90/7.50 tff(39256,plain,
% 9.90/7.50 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB156) <=> (~((~v128(constB156)) | (~v139(constB156)))))),
% 9.90/7.50 inference(modus_ponens,[status(thm)],[39255, 39254])).
% 9.90/7.50 tff(39257,plain,
% 9.90/7.50 (v163(constB156) <=> (~((~v128(constB156)) | (~v139(constB156))))),
% 9.90/7.50 inference(unit_resolution,[status(thm)],[39256, 171])).
% 9.90/7.50 tff(39258,plain,
% 9.90/7.50 ((~![VarNext: $i] : (v128(VarNext) <=> v162(VarNext))) | (v128(constB156) <=> v162(constB156))),
% 9.90/7.50 inference(quant_inst,[status(thm)],[])).
% 9.90/7.50 tff(39259,plain,
% 9.90/7.50 (v128(constB156) <=> v162(constB156)),
% 9.90/7.50 inference(unit_resolution,[status(thm)],[39258, 13])).
% 9.90/7.50 tff(39260,plain,
% 9.90/7.50 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB155, constB156)) | (v162(constB156) <=> v160(constB155)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB155, constB156)) | (v162(constB156) <=> v160(constB155)))),
% 9.90/7.50 inference(rewrite,[status(thm)],[])).
% 9.90/7.50 tff(39261,plain,
% 9.90/7.50 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB155, constB156)) | (v162(constB156) <=> v160(constB155)))),
% 9.90/7.50 inference(quant_inst,[status(thm)],[])).
% 9.90/7.50 tff(39262,plain,
% 9.90/7.50 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB155, constB156)) | (v162(constB156) <=> v160(constB155))),
% 9.90/7.50 inference(modus_ponens,[status(thm)],[39261, 39260])).
% 9.90/7.50 tff(39263,plain,
% 9.90/7.50 (v162(constB156) <=> v160(constB155)),
% 9.90/7.50 inference(unit_resolution,[status(thm)],[39262, 2647, 70])).
% 9.90/7.50 tff(39264,plain,
% 9.90/7.50 ((~![VarCurr: $i] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB155) <=> (v163(constB155) | v164(constB155)))),
% 9.90/7.50 inference(quant_inst,[status(thm)],[])).
% 9.90/7.50 tff(39265,plain,
% 9.90/7.50 (v160(constB155) <=> (v163(constB155) | v164(constB155))),
% 9.90/7.50 inference(unit_resolution,[status(thm)],[39264, 84])).
% 9.90/7.50 tff(39266,plain,
% 9.90/7.50 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB155) <=> (~((~v128(constB155)) | (~v139(constB155)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB155) <=> (~((~v128(constB155)) | (~v139(constB155))))))),
% 9.90/7.50 inference(rewrite,[status(thm)],[])).
% 9.90/7.50 tff(39267,plain,
% 9.90/7.50 ((v163(constB155) <=> (~((~v139(constB155)) | (~v128(constB155))))) <=> (v163(constB155) <=> (~((~v128(constB155)) | (~v139(constB155)))))),
% 9.90/7.50 inference(rewrite,[status(thm)],[])).
% 9.90/7.50 tff(39268,plain,
% 9.90/7.50 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB155) <=> (~((~v139(constB155)) | (~v128(constB155)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB155) <=> (~((~v128(constB155)) | (~v139(constB155))))))),
% 9.90/7.50 inference(monotonicity,[status(thm)],[39267])).
% 9.90/7.50 tff(39269,plain,
% 9.90/7.50 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB155) <=> (~((~v139(constB155)) | (~v128(constB155)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB155) <=> (~((~v128(constB155)) | (~v139(constB155))))))),
% 9.90/7.50 inference(transitivity,[status(thm)],[39268, 39266])).
% 9.90/7.50 tff(39270,plain,
% 9.90/7.50 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB155) <=> (~((~v139(constB155)) | (~v128(constB155)))))),
% 9.90/7.50 inference(quant_inst,[status(thm)],[])).
% 9.90/7.50 tff(39271,plain,
% 9.90/7.50 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB155) <=> (~((~v128(constB155)) | (~v139(constB155)))))),
% 9.90/7.50 inference(modus_ponens,[status(thm)],[39270, 39269])).
% 9.90/7.50 tff(39272,plain,
% 9.90/7.50 (v163(constB155) <=> (~((~v128(constB155)) | (~v139(constB155))))),
% 9.90/7.50 inference(unit_resolution,[status(thm)],[39271, 171])).
% 9.90/7.50 tff(39273,plain,
% 9.90/7.50 (((~v128(constB155)) | (~v139(constB155))) | v139(constB155)),
% 9.90/7.50 inference(tautology,[status(thm)],[])).
% 9.90/7.50 tff(39274,plain,
% 9.90/7.50 ((~v128(constB155)) | (~v139(constB155))),
% 9.90/7.50 inference(unit_resolution,[status(thm)],[39273, 27869])).
% 9.90/7.50 tff(39275,plain,
% 9.90/7.50 ((~(v163(constB155) <=> (~((~v128(constB155)) | (~v139(constB155)))))) | (~v163(constB155)) | (~((~v128(constB155)) | (~v139(constB155))))),
% 9.90/7.50 inference(tautology,[status(thm)],[])).
% 9.90/7.50 tff(39276,plain,
% 9.90/7.50 (~v163(constB155)),
% 9.90/7.50 inference(unit_resolution,[status(thm)],[39275, 39274, 39272])).
% 9.90/7.50 tff(39277,plain,
% 9.90/7.50 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB155) <=> (~((~v130(constB155)) | (~v154(constB155)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB155) <=> (~((~v130(constB155)) | (~v154(constB155))))))),
% 9.90/7.50 inference(rewrite,[status(thm)],[])).
% 9.90/7.50 tff(39278,plain,
% 9.90/7.50 ((v164(constB155) <=> (~((~v154(constB155)) | (~v130(constB155))))) <=> (v164(constB155) <=> (~((~v130(constB155)) | (~v154(constB155)))))),
% 9.90/7.50 inference(rewrite,[status(thm)],[])).
% 9.90/7.50 tff(39279,plain,
% 9.90/7.50 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB155) <=> (~((~v154(constB155)) | (~v130(constB155)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB155) <=> (~((~v130(constB155)) | (~v154(constB155))))))),
% 9.90/7.50 inference(monotonicity,[status(thm)],[39278])).
% 9.90/7.50 tff(39280,plain,
% 9.90/7.50 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB155) <=> (~((~v154(constB155)) | (~v130(constB155)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB155) <=> (~((~v130(constB155)) | (~v154(constB155))))))),
% 9.90/7.50 inference(transitivity,[status(thm)],[39279, 39277])).
% 9.90/7.50 tff(39281,plain,
% 9.90/7.50 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB155) <=> (~((~v154(constB155)) | (~v130(constB155)))))),
% 9.90/7.50 inference(quant_inst,[status(thm)],[])).
% 9.90/7.50 tff(39282,plain,
% 9.90/7.50 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB155) <=> (~((~v130(constB155)) | (~v154(constB155)))))),
% 9.90/7.50 inference(modus_ponens,[status(thm)],[39281, 39280])).
% 9.90/7.50 tff(39283,plain,
% 9.90/7.50 (v164(constB155) <=> (~((~v130(constB155)) | (~v154(constB155))))),
% 9.90/7.50 inference(unit_resolution,[status(thm)],[39282, 96])).
% 9.90/7.50 tff(39284,plain,
% 9.90/7.50 ((~![VarNext: $i] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB155) <=> v152(constB155))),
% 9.90/7.50 inference(quant_inst,[status(thm)],[])).
% 9.90/7.50 tff(39285,plain,
% 9.90/7.50 (v130(constB155) <=> v152(constB155)),
% 9.90/7.50 inference(unit_resolution,[status(thm)],[39284, 361])).
% 9.90/7.50 tff(39286,plain,
% 9.90/7.50 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB154, constB155)) | (v152(constB155) <=> v150(constB154)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB154, constB155)) | (v152(constB155) <=> v150(constB154)))),
% 9.90/7.50 inference(rewrite,[status(thm)],[])).
% 9.90/7.50 tff(39287,plain,
% 9.90/7.50 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB154, constB155)) | (v152(constB155) <=> v150(constB154)))),
% 9.90/7.50 inference(quant_inst,[status(thm)],[])).
% 9.90/7.50 tff(39288,plain,
% 9.90/7.50 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB154, constB155)) | (v152(constB155) <=> v150(constB154))),
% 9.90/7.50 inference(modus_ponens,[status(thm)],[39287, 39286])).
% 9.90/7.50 tff(39289,plain,
% 9.90/7.50 (v152(constB155) <=> v150(constB154)),
% 9.90/7.50 inference(unit_resolution,[status(thm)],[39288, 2704, 373])).
% 9.90/7.50 tff(39290,plain,
% 9.90/7.50 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v153(VarCurr) | v155(VarCurr)))) | (v150(constB154) <=> (v153(constB154) | v155(constB154)))),
% 9.90/7.50 inference(quant_inst,[status(thm)],[])).
% 9.90/7.50 tff(39291,plain,
% 9.90/7.50 (v150(constB154) <=> (v153(constB154) | v155(constB154))),
% 9.90/7.50 inference(unit_resolution,[status(thm)],[39290, 387])).
% 9.90/7.50 tff(39292,plain,
% 9.90/7.50 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB154) <=> (~((~v132(constB154)) | (~v154(constB154)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB154) <=> (~((~v132(constB154)) | (~v154(constB154))))))),
% 9.90/7.50 inference(rewrite,[status(thm)],[])).
% 9.90/7.50 tff(39293,plain,
% 9.90/7.50 ((v153(constB154) <=> (~((~v154(constB154)) | (~v132(constB154))))) <=> (v153(constB154) <=> (~((~v132(constB154)) | (~v154(constB154)))))),
% 9.90/7.50 inference(rewrite,[status(thm)],[])).
% 9.90/7.50 tff(39294,plain,
% 9.90/7.50 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB154) <=> (~((~v154(constB154)) | (~v132(constB154)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB154) <=> (~((~v132(constB154)) | (~v154(constB154))))))),
% 9.90/7.50 inference(monotonicity,[status(thm)],[39293])).
% 9.90/7.50 tff(39295,plain,
% 9.90/7.50 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB154) <=> (~((~v154(constB154)) | (~v132(constB154)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB154) <=> (~((~v132(constB154)) | (~v154(constB154))))))),
% 9.90/7.50 inference(transitivity,[status(thm)],[39294, 39292])).
% 9.90/7.50 tff(39296,plain,
% 9.90/7.50 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB154) <=> (~((~v154(constB154)) | (~v132(constB154)))))),
% 9.90/7.50 inference(quant_inst,[status(thm)],[])).
% 9.90/7.50 tff(39297,plain,
% 9.90/7.50 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB154) <=> (~((~v132(constB154)) | (~v154(constB154)))))),
% 9.90/7.50 inference(modus_ponens,[status(thm)],[39296, 39295])).
% 9.90/7.50 tff(39298,plain,
% 9.90/7.50 (v153(constB154) <=> (~((~v132(constB154)) | (~v154(constB154))))),
% 9.90/7.50 inference(unit_resolution,[status(thm)],[39297, 399])).
% 9.90/7.50 tff(39299,plain,
% 9.90/7.50 (((~v132(constB154)) | (~v154(constB154))) | v154(constB154)),
% 9.90/7.50 inference(tautology,[status(thm)],[])).
% 9.90/7.50 tff(39300,plain,
% 9.90/7.50 ((~v132(constB154)) | (~v154(constB154))),
% 9.90/7.50 inference(unit_resolution,[status(thm)],[39299, 34496])).
% 9.90/7.50 tff(39301,plain,
% 9.90/7.50 ((~(v153(constB154) <=> (~((~v132(constB154)) | (~v154(constB154)))))) | (~v153(constB154)) | (~((~v132(constB154)) | (~v154(constB154))))),
% 9.90/7.50 inference(tautology,[status(thm)],[])).
% 9.90/7.50 tff(39302,plain,
% 9.90/7.50 (~v153(constB154)),
% 9.90/7.50 inference(unit_resolution,[status(thm)],[39301, 39300, 39298])).
% 9.90/7.50 tff(39303,plain,
% 9.90/7.50 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB154) <=> (~((~v130(constB154)) | (~v139(constB154)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB154) <=> (~((~v130(constB154)) | (~v139(constB154))))))),
% 9.90/7.50 inference(rewrite,[status(thm)],[])).
% 9.90/7.50 tff(39304,plain,
% 9.90/7.50 ((v155(constB154) <=> (~((~v139(constB154)) | (~v130(constB154))))) <=> (v155(constB154) <=> (~((~v130(constB154)) | (~v139(constB154)))))),
% 9.90/7.50 inference(rewrite,[status(thm)],[])).
% 9.90/7.50 tff(39305,plain,
% 9.90/7.50 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB154) <=> (~((~v139(constB154)) | (~v130(constB154)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB154) <=> (~((~v130(constB154)) | (~v139(constB154))))))),
% 9.90/7.50 inference(monotonicity,[status(thm)],[39304])).
% 9.90/7.50 tff(39306,plain,
% 9.90/7.50 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB154) <=> (~((~v139(constB154)) | (~v130(constB154)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB154) <=> (~((~v130(constB154)) | (~v139(constB154))))))),
% 9.90/7.50 inference(transitivity,[status(thm)],[39305, 39303])).
% 9.90/7.50 tff(39307,plain,
% 9.90/7.50 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB154) <=> (~((~v139(constB154)) | (~v130(constB154)))))),
% 9.90/7.50 inference(quant_inst,[status(thm)],[])).
% 9.90/7.50 tff(39308,plain,
% 9.90/7.50 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB154) <=> (~((~v130(constB154)) | (~v139(constB154)))))),
% 9.90/7.50 inference(modus_ponens,[status(thm)],[39307, 39306])).
% 9.90/7.50 tff(39309,plain,
% 9.90/7.50 (v155(constB154) <=> (~((~v130(constB154)) | (~v139(constB154))))),
% 9.90/7.50 inference(unit_resolution,[status(thm)],[39308, 447])).
% 9.90/7.50 tff(39310,plain,
% 9.90/7.50 ((~![VarNext: $i] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB154) <=> v152(constB154))),
% 9.90/7.50 inference(quant_inst,[status(thm)],[])).
% 9.90/7.50 tff(39311,plain,
% 9.90/7.50 (v130(constB154) <=> v152(constB154)),
% 9.90/7.50 inference(unit_resolution,[status(thm)],[39310, 361])).
% 9.90/7.50 tff(39312,plain,
% 9.90/7.50 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB153, constB154)) | (v152(constB154) <=> v150(constB153)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB153, constB154)) | (v152(constB154) <=> v150(constB153)))),
% 9.90/7.50 inference(rewrite,[status(thm)],[])).
% 9.90/7.50 tff(39313,plain,
% 9.90/7.50 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB153, constB154)) | (v152(constB154) <=> v150(constB153)))),
% 9.90/7.50 inference(quant_inst,[status(thm)],[])).
% 9.90/7.50 tff(39314,plain,
% 9.90/7.50 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB153, constB154)) | (v152(constB154) <=> v150(constB153))),
% 9.90/7.50 inference(modus_ponens,[status(thm)],[39313, 39312])).
% 9.90/7.50 tff(39315,plain,
% 9.90/7.50 (v152(constB154) <=> v150(constB153)),
% 9.90/7.50 inference(unit_resolution,[status(thm)],[39314, 2736, 373])).
% 9.90/7.50 tff(39316,plain,
% 9.90/7.50 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v153(VarCurr) | v155(VarCurr)))) | (v150(constB153) <=> (v153(constB153) | v155(constB153)))),
% 9.90/7.50 inference(quant_inst,[status(thm)],[])).
% 9.90/7.50 tff(39317,plain,
% 9.90/7.50 (v150(constB153) <=> (v153(constB153) | v155(constB153))),
% 9.90/7.50 inference(unit_resolution,[status(thm)],[39316, 387])).
% 9.90/7.50 tff(39318,plain,
% 9.90/7.50 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB153) <=> (~((~v130(constB153)) | (~v139(constB153)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB153) <=> (~((~v130(constB153)) | (~v139(constB153))))))),
% 9.90/7.50 inference(rewrite,[status(thm)],[])).
% 9.90/7.50 tff(39319,plain,
% 9.90/7.50 ((v155(constB153) <=> (~((~v139(constB153)) | (~v130(constB153))))) <=> (v155(constB153) <=> (~((~v130(constB153)) | (~v139(constB153)))))),
% 9.90/7.50 inference(rewrite,[status(thm)],[])).
% 9.90/7.50 tff(39320,plain,
% 9.90/7.50 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB153) <=> (~((~v139(constB153)) | (~v130(constB153)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB153) <=> (~((~v130(constB153)) | (~v139(constB153))))))),
% 9.90/7.50 inference(monotonicity,[status(thm)],[39319])).
% 9.90/7.50 tff(39321,plain,
% 9.90/7.50 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB153) <=> (~((~v139(constB153)) | (~v130(constB153)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB153) <=> (~((~v130(constB153)) | (~v139(constB153))))))),
% 9.90/7.50 inference(transitivity,[status(thm)],[39320, 39318])).
% 9.90/7.50 tff(39322,plain,
% 9.90/7.50 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB153) <=> (~((~v139(constB153)) | (~v130(constB153)))))),
% 9.90/7.50 inference(quant_inst,[status(thm)],[])).
% 9.90/7.50 tff(39323,plain,
% 9.90/7.50 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB153) <=> (~((~v130(constB153)) | (~v139(constB153)))))),
% 9.90/7.50 inference(modus_ponens,[status(thm)],[39322, 39321])).
% 9.90/7.50 tff(39324,plain,
% 9.90/7.50 (v155(constB153) <=> (~((~v130(constB153)) | (~v139(constB153))))),
% 9.90/7.50 inference(unit_resolution,[status(thm)],[39323, 447])).
% 9.90/7.50 tff(39325,plain,
% 9.90/7.50 (((~v130(constB153)) | (~v139(constB153))) | v139(constB153)),
% 9.90/7.50 inference(tautology,[status(thm)],[])).
% 9.90/7.50 tff(39326,plain,
% 9.90/7.50 ((~v130(constB153)) | (~v139(constB153))),
% 9.90/7.50 inference(unit_resolution,[status(thm)],[39325, 27997])).
% 9.90/7.50 tff(39327,plain,
% 9.90/7.50 ((~(v155(constB153) <=> (~((~v130(constB153)) | (~v139(constB153)))))) | (~v155(constB153)) | (~((~v130(constB153)) | (~v139(constB153))))),
% 9.90/7.50 inference(tautology,[status(thm)],[])).
% 9.90/7.50 tff(39328,plain,
% 9.90/7.50 (~v155(constB153)),
% 9.90/7.50 inference(unit_resolution,[status(thm)],[39327, 39326, 39324])).
% 9.90/7.50 tff(39329,plain,
% 9.90/7.50 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB153) <=> (~((~v132(constB153)) | (~v154(constB153)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB153) <=> (~((~v132(constB153)) | (~v154(constB153))))))),
% 9.90/7.50 inference(rewrite,[status(thm)],[])).
% 9.90/7.50 tff(39330,plain,
% 9.90/7.50 ((v153(constB153) <=> (~((~v154(constB153)) | (~v132(constB153))))) <=> (v153(constB153) <=> (~((~v132(constB153)) | (~v154(constB153)))))),
% 9.90/7.50 inference(rewrite,[status(thm)],[])).
% 9.90/7.50 tff(39331,plain,
% 9.90/7.50 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB153) <=> (~((~v154(constB153)) | (~v132(constB153)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB153) <=> (~((~v132(constB153)) | (~v154(constB153))))))),
% 9.90/7.50 inference(monotonicity,[status(thm)],[39330])).
% 9.90/7.50 tff(39332,plain,
% 9.90/7.50 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB153) <=> (~((~v154(constB153)) | (~v132(constB153)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB153) <=> (~((~v132(constB153)) | (~v154(constB153))))))),
% 9.90/7.50 inference(transitivity,[status(thm)],[39331, 39329])).
% 9.90/7.50 tff(39333,plain,
% 9.90/7.50 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB153) <=> (~((~v154(constB153)) | (~v132(constB153)))))),
% 9.90/7.50 inference(quant_inst,[status(thm)],[])).
% 9.90/7.50 tff(39334,plain,
% 9.90/7.50 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB153) <=> (~((~v132(constB153)) | (~v154(constB153)))))),
% 9.90/7.50 inference(modus_ponens,[status(thm)],[39333, 39332])).
% 9.99/7.51 tff(39335,plain,
% 9.99/7.51 (v153(constB153) <=> (~((~v132(constB153)) | (~v154(constB153))))),
% 9.99/7.51 inference(unit_resolution,[status(thm)],[39334, 399])).
% 9.99/7.51 tff(39336,plain,
% 9.99/7.51 ((~![VarNext: $i] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB153) <=> v137(constB153))),
% 9.99/7.51 inference(quant_inst,[status(thm)],[])).
% 9.99/7.51 tff(39337,plain,
% 9.99/7.51 (v132(constB153) <=> v137(constB153)),
% 9.99/7.51 inference(unit_resolution,[status(thm)],[39336, 558])).
% 9.99/7.51 tff(39338,plain,
% 9.99/7.51 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB152, constB153)) | (v137(constB153) <=> v135(constB152)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB152, constB153)) | (v137(constB153) <=> v135(constB152)))),
% 9.99/7.51 inference(rewrite,[status(thm)],[])).
% 9.99/7.51 tff(39339,plain,
% 9.99/7.51 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB152, constB153)) | (v137(constB153) <=> v135(constB152)))),
% 9.99/7.51 inference(quant_inst,[status(thm)],[])).
% 9.99/7.51 tff(39340,plain,
% 9.99/7.51 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB152, constB153)) | (v137(constB153) <=> v135(constB152))),
% 9.99/7.51 inference(modus_ponens,[status(thm)],[39339, 39338])).
% 9.99/7.51 tff(39341,plain,
% 9.99/7.51 (v137(constB153) <=> v135(constB152)),
% 9.99/7.51 inference(unit_resolution,[status(thm)],[39340, 2795, 570])).
% 9.99/7.51 tff(39342,plain,
% 9.99/7.51 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB152) <=> (v138(constB152) | v142(constB152)))),
% 9.99/7.51 inference(quant_inst,[status(thm)],[])).
% 9.99/7.51 tff(39343,plain,
% 9.99/7.51 (v135(constB152) <=> (v138(constB152) | v142(constB152))),
% 9.99/7.51 inference(unit_resolution,[status(thm)],[39342, 584])).
% 9.99/7.51 tff(39344,plain,
% 9.99/7.51 ((~![VarCurr: $i] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB152) <=> (~((~v143(constB152)) | (~v144(constB152)))))),
% 9.99/7.51 inference(quant_inst,[status(thm)],[])).
% 9.99/7.51 tff(39345,plain,
% 9.99/7.51 (v142(constB152) <=> (~((~v143(constB152)) | (~v144(constB152))))),
% 9.99/7.51 inference(unit_resolution,[status(thm)],[39344, 596])).
% 9.99/7.51 tff(39346,plain,
% 9.99/7.51 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB152) <=> (~((~v141(constB152)) | (~v145(constB152)))))),
% 9.99/7.51 inference(quant_inst,[status(thm)],[])).
% 9.99/7.51 tff(39347,plain,
% 9.99/7.51 (v144(constB152) <=> (~((~v141(constB152)) | (~v145(constB152))))),
% 9.99/7.51 inference(unit_resolution,[status(thm)],[39346, 608])).
% 9.99/7.51 tff(39348,plain,
% 9.99/7.51 (((~v141(constB152)) | (~v145(constB152))) | v141(constB152)),
% 9.99/7.51 inference(tautology,[status(thm)],[])).
% 9.99/7.51 tff(39349,plain,
% 9.99/7.51 ((~v141(constB152)) | (~v145(constB152))),
% 9.99/7.51 inference(unit_resolution,[status(thm)],[39348, 34567])).
% 9.99/7.51 tff(39350,plain,
% 9.99/7.51 ((~(v144(constB152) <=> (~((~v141(constB152)) | (~v145(constB152)))))) | (~v144(constB152)) | (~((~v141(constB152)) | (~v145(constB152))))),
% 9.99/7.51 inference(tautology,[status(thm)],[])).
% 9.99/7.51 tff(39351,plain,
% 9.99/7.51 ((~(v144(constB152) <=> (~((~v141(constB152)) | (~v145(constB152)))))) | (~v144(constB152))),
% 9.99/7.51 inference(unit_resolution,[status(thm)],[39350, 39349])).
% 9.99/7.51 tff(39352,plain,
% 9.99/7.51 (~v144(constB152)),
% 9.99/7.51 inference(unit_resolution,[status(thm)],[39351, 39347])).
% 9.99/7.51 tff(39353,plain,
% 9.99/7.51 (((~v143(constB152)) | (~v144(constB152))) | v144(constB152)),
% 9.99/7.51 inference(tautology,[status(thm)],[])).
% 9.99/7.51 tff(39354,plain,
% 9.99/7.51 ((~v143(constB152)) | (~v144(constB152))),
% 9.99/7.51 inference(unit_resolution,[status(thm)],[39353, 39352])).
% 9.99/7.51 tff(39355,plain,
% 9.99/7.51 ((~(v142(constB152) <=> (~((~v143(constB152)) | (~v144(constB152)))))) | (~v142(constB152)) | (~((~v143(constB152)) | (~v144(constB152))))),
% 9.99/7.51 inference(tautology,[status(thm)],[])).
% 9.99/7.51 tff(39356,plain,
% 9.99/7.51 (~v142(constB152)),
% 9.99/7.51 inference(unit_resolution,[status(thm)],[39355, 39354, 39345])).
% 9.99/7.51 tff(39357,plain,
% 9.99/7.51 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB152) <=> (~((~v132(constB152)) | (~v139(constB152)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB152) <=> (~((~v132(constB152)) | (~v139(constB152))))))),
% 9.99/7.51 inference(rewrite,[status(thm)],[])).
% 9.99/7.51 tff(39358,plain,
% 9.99/7.51 ((v138(constB152) <=> (~((~v139(constB152)) | (~v132(constB152))))) <=> (v138(constB152) <=> (~((~v132(constB152)) | (~v139(constB152)))))),
% 9.99/7.51 inference(rewrite,[status(thm)],[])).
% 9.99/7.51 tff(39359,plain,
% 9.99/7.51 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB152) <=> (~((~v139(constB152)) | (~v132(constB152)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB152) <=> (~((~v132(constB152)) | (~v139(constB152))))))),
% 9.99/7.51 inference(monotonicity,[status(thm)],[39358])).
% 9.99/7.51 tff(39360,plain,
% 9.99/7.51 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB152) <=> (~((~v139(constB152)) | (~v132(constB152)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB152) <=> (~((~v132(constB152)) | (~v139(constB152))))))),
% 9.99/7.51 inference(transitivity,[status(thm)],[39359, 39357])).
% 9.99/7.51 tff(39361,plain,
% 9.99/7.51 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB152) <=> (~((~v139(constB152)) | (~v132(constB152)))))),
% 9.99/7.51 inference(quant_inst,[status(thm)],[])).
% 9.99/7.51 tff(39362,plain,
% 9.99/7.51 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB152) <=> (~((~v132(constB152)) | (~v139(constB152)))))),
% 9.99/7.51 inference(modus_ponens,[status(thm)],[39361, 39360])).
% 9.99/7.51 tff(39363,plain,
% 9.99/7.51 (v138(constB152) <=> (~((~v132(constB152)) | (~v139(constB152))))),
% 9.99/7.51 inference(unit_resolution,[status(thm)],[39362, 644])).
% 9.99/7.51 tff(39364,plain,
% 9.99/7.51 ((~![VarNext: $i] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB152) <=> v137(constB152))),
% 9.99/7.51 inference(quant_inst,[status(thm)],[])).
% 9.99/7.51 tff(39365,plain,
% 9.99/7.51 (v132(constB152) <=> v137(constB152)),
% 9.99/7.51 inference(unit_resolution,[status(thm)],[39364, 558])).
% 9.99/7.51 tff(39366,plain,
% 9.99/7.51 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB151, constB152)) | (v137(constB152) <=> v135(constB151)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB151, constB152)) | (v137(constB152) <=> v135(constB151)))),
% 9.99/7.51 inference(rewrite,[status(thm)],[])).
% 9.99/7.51 tff(39367,plain,
% 9.99/7.51 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB151, constB152)) | (v137(constB152) <=> v135(constB151)))),
% 9.99/7.51 inference(quant_inst,[status(thm)],[])).
% 9.99/7.51 tff(39368,plain,
% 9.99/7.51 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB151, constB152)) | (v137(constB152) <=> v135(constB151))),
% 9.99/7.51 inference(modus_ponens,[status(thm)],[39367, 39366])).
% 9.99/7.51 tff(39369,plain,
% 9.99/7.51 (v137(constB152) <=> v135(constB151)),
% 9.99/7.51 inference(unit_resolution,[status(thm)],[39368, 2827, 570])).
% 9.99/7.51 tff(39370,plain,
% 9.99/7.51 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB151) <=> (v138(constB151) | v142(constB151)))),
% 9.99/7.51 inference(quant_inst,[status(thm)],[])).
% 9.99/7.51 tff(39371,plain,
% 9.99/7.51 (v135(constB151) <=> (v138(constB151) | v142(constB151))),
% 9.99/7.51 inference(unit_resolution,[status(thm)],[39370, 584])).
% 9.99/7.51 tff(39372,plain,
% 9.99/7.51 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB151) <=> (~((~v132(constB151)) | (~v139(constB151)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB151) <=> (~((~v132(constB151)) | (~v139(constB151))))))),
% 9.99/7.51 inference(rewrite,[status(thm)],[])).
% 9.99/7.51 tff(39373,plain,
% 9.99/7.51 ((v138(constB151) <=> (~((~v139(constB151)) | (~v132(constB151))))) <=> (v138(constB151) <=> (~((~v132(constB151)) | (~v139(constB151)))))),
% 9.99/7.51 inference(rewrite,[status(thm)],[])).
% 9.99/7.51 tff(39374,plain,
% 9.99/7.51 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB151) <=> (~((~v139(constB151)) | (~v132(constB151)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB151) <=> (~((~v132(constB151)) | (~v139(constB151))))))),
% 9.99/7.51 inference(monotonicity,[status(thm)],[39373])).
% 9.99/7.51 tff(39375,plain,
% 9.99/7.51 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB151) <=> (~((~v139(constB151)) | (~v132(constB151)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB151) <=> (~((~v132(constB151)) | (~v139(constB151))))))),
% 9.99/7.51 inference(transitivity,[status(thm)],[39374, 39372])).
% 9.99/7.51 tff(39376,plain,
% 9.99/7.51 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB151) <=> (~((~v139(constB151)) | (~v132(constB151)))))),
% 9.99/7.51 inference(quant_inst,[status(thm)],[])).
% 9.99/7.51 tff(39377,plain,
% 9.99/7.51 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB151) <=> (~((~v132(constB151)) | (~v139(constB151)))))),
% 9.99/7.51 inference(modus_ponens,[status(thm)],[39376, 39375])).
% 9.99/7.51 tff(39378,plain,
% 9.99/7.51 (v138(constB151) <=> (~((~v132(constB151)) | (~v139(constB151))))),
% 9.99/7.51 inference(unit_resolution,[status(thm)],[39377, 644])).
% 9.99/7.51 tff(39379,plain,
% 9.99/7.51 (((~v132(constB151)) | (~v139(constB151))) | v139(constB151)),
% 9.99/7.51 inference(tautology,[status(thm)],[])).
% 9.99/7.51 tff(39380,plain,
% 9.99/7.51 ((~v132(constB151)) | (~v139(constB151))),
% 9.99/7.51 inference(unit_resolution,[status(thm)],[39379, 34660])).
% 9.99/7.51 tff(39381,plain,
% 9.99/7.51 ((~(v138(constB151) <=> (~((~v132(constB151)) | (~v139(constB151)))))) | (~v138(constB151)) | (~((~v132(constB151)) | (~v139(constB151))))),
% 9.99/7.51 inference(tautology,[status(thm)],[])).
% 9.99/7.51 tff(39382,plain,
% 9.99/7.51 (~v138(constB151)),
% 9.99/7.51 inference(unit_resolution,[status(thm)],[39381, 39380, 39378])).
% 9.99/7.51 tff(39383,plain,
% 9.99/7.51 ((~![VarCurr: $i] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB151) <=> (~((~v143(constB151)) | (~v144(constB151)))))),
% 9.99/7.51 inference(quant_inst,[status(thm)],[])).
% 9.99/7.51 tff(39384,plain,
% 9.99/7.51 (v142(constB151) <=> (~((~v143(constB151)) | (~v144(constB151))))),
% 9.99/7.51 inference(unit_resolution,[status(thm)],[39383, 596])).
% 9.99/7.51 tff(39385,plain,
% 9.99/7.51 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB151) <=> (~((~v141(constB151)) | (~v145(constB151)))))),
% 9.99/7.51 inference(quant_inst,[status(thm)],[])).
% 9.99/7.51 tff(39386,plain,
% 9.99/7.51 (v144(constB151) <=> (~((~v141(constB151)) | (~v145(constB151))))),
% 9.99/7.51 inference(unit_resolution,[status(thm)],[39385, 608])).
% 9.99/7.51 tff(39387,plain,
% 9.99/7.51 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB151) <=> (~(v84(constB151, bitIndex2) | v84(constB151, bitIndex1) | (~v84(constB151, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB151) <=> (~(v84(constB151, bitIndex2) | v84(constB151, bitIndex1) | (~v84(constB151, bitIndex0))))))),
% 9.99/7.51 inference(rewrite,[status(thm)],[])).
% 9.99/7.51 tff(39388,plain,
% 9.99/7.51 ((v145(constB151) <=> (~(v84(constB151, bitIndex1) | v84(constB151, bitIndex2) | (~v84(constB151, bitIndex0))))) <=> (v145(constB151) <=> (~(v84(constB151, bitIndex2) | v84(constB151, bitIndex1) | (~v84(constB151, bitIndex0)))))),
% 9.99/7.51 inference(rewrite,[status(thm)],[])).
% 9.99/7.51 tff(39389,plain,
% 9.99/7.51 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB151) <=> (~(v84(constB151, bitIndex1) | v84(constB151, bitIndex2) | (~v84(constB151, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB151) <=> (~(v84(constB151, bitIndex2) | v84(constB151, bitIndex1) | (~v84(constB151, bitIndex0))))))),
% 9.99/7.51 inference(monotonicity,[status(thm)],[39388])).
% 9.99/7.51 tff(39390,plain,
% 9.99/7.51 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB151) <=> (~(v84(constB151, bitIndex1) | v84(constB151, bitIndex2) | (~v84(constB151, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB151) <=> (~(v84(constB151, bitIndex2) | v84(constB151, bitIndex1) | (~v84(constB151, bitIndex0))))))),
% 9.99/7.51 inference(transitivity,[status(thm)],[39389, 39387])).
% 9.99/7.51 tff(39391,plain,
% 9.99/7.51 ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB151) <=> (~(v84(constB151, bitIndex1) | v84(constB151, bitIndex2) | (~v84(constB151, bitIndex0)))))),
% 9.99/7.51 inference(quant_inst,[status(thm)],[])).
% 9.99/7.51 tff(39392,plain,
% 9.99/7.51 ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB151) <=> (~(v84(constB151, bitIndex2) | v84(constB151, bitIndex1) | (~v84(constB151, bitIndex0)))))),
% 9.99/7.51 inference(modus_ponens,[status(thm)],[39391, 39390])).
% 9.99/7.51 tff(39393,plain,
% 9.99/7.51 (v145(constB151) <=> (~(v84(constB151, bitIndex2) | v84(constB151, bitIndex1) | (~v84(constB151, bitIndex0))))),
% 9.99/7.51 inference(unit_resolution,[status(thm)],[39392, 755])).
% 9.99/7.51 tff(39394,plain,
% 9.99/7.51 ((v84(constB151, bitIndex2) | v84(constB151, bitIndex1) | (~v84(constB151, bitIndex0))) | (~v84(constB151, bitIndex1))),
% 9.99/7.51 inference(tautology,[status(thm)],[])).
% 9.99/7.51 tff(39395,plain,
% 9.99/7.51 (v84(constB151, bitIndex2) | v84(constB151, bitIndex1) | (~v84(constB151, bitIndex0))),
% 9.99/7.51 inference(unit_resolution,[status(thm)],[39394, 22154])).
% 9.99/7.51 tff(39396,plain,
% 9.99/7.51 ((~(v145(constB151) <=> (~(v84(constB151, bitIndex2) | v84(constB151, bitIndex1) | (~v84(constB151, bitIndex0)))))) | (~v145(constB151)) | (~(v84(constB151, bitIndex2) | v84(constB151, bitIndex1) | (~v84(constB151, bitIndex0))))),
% 9.99/7.51 inference(tautology,[status(thm)],[])).
% 9.99/7.51 tff(39397,plain,
% 9.99/7.51 (~v145(constB151)),
% 9.99/7.51 inference(unit_resolution,[status(thm)],[39396, 39395, 39393])).
% 9.99/7.51 tff(39398,plain,
% 9.99/7.51 (((~v141(constB151)) | (~v145(constB151))) | v145(constB151)),
% 9.99/7.51 inference(tautology,[status(thm)],[])).
% 9.99/7.51 tff(39399,plain,
% 9.99/7.51 ((~v141(constB151)) | (~v145(constB151))),
% 9.99/7.51 inference(unit_resolution,[status(thm)],[39398, 39397])).
% 9.99/7.51 tff(39400,plain,
% 9.99/7.51 ((~(v144(constB151) <=> (~((~v141(constB151)) | (~v145(constB151)))))) | (~v144(constB151)) | (~((~v141(constB151)) | (~v145(constB151))))),
% 9.99/7.51 inference(tautology,[status(thm)],[])).
% 9.99/7.51 tff(39401,plain,
% 9.99/7.51 (~v144(constB151)),
% 9.99/7.51 inference(unit_resolution,[status(thm)],[39400, 39399, 39386])).
% 9.99/7.51 tff(39402,plain,
% 9.99/7.51 (((~v143(constB151)) | (~v144(constB151))) | v144(constB151)),
% 9.99/7.51 inference(tautology,[status(thm)],[])).
% 9.99/7.51 tff(39403,plain,
% 9.99/7.51 ((~v143(constB151)) | (~v144(constB151))),
% 9.99/7.51 inference(unit_resolution,[status(thm)],[39402, 39401])).
% 9.99/7.51 tff(39404,plain,
% 9.99/7.51 ((~(v142(constB151) <=> (~((~v143(constB151)) | (~v144(constB151)))))) | (~v142(constB151)) | (~((~v143(constB151)) | (~v144(constB151))))),
% 9.99/7.51 inference(tautology,[status(thm)],[])).
% 9.99/7.51 tff(39405,plain,
% 9.99/7.51 (~v142(constB151)),
% 9.99/7.51 inference(unit_resolution,[status(thm)],[39404, 39403, 39384])).
% 9.99/7.51 tff(39406,plain,
% 9.99/7.51 ((~(v138(constB151) | v142(constB151))) | v138(constB151) | v142(constB151)),
% 9.99/7.51 inference(tautology,[status(thm)],[])).
% 9.99/7.51 tff(39407,plain,
% 9.99/7.51 (~(v138(constB151) | v142(constB151))),
% 9.99/7.51 inference(unit_resolution,[status(thm)],[39406, 39405, 39382])).
% 9.99/7.51 tff(39408,plain,
% 9.99/7.51 ((~(v135(constB151) <=> (v138(constB151) | v142(constB151)))) | (~v135(constB151)) | (v138(constB151) | v142(constB151))),
% 9.99/7.51 inference(tautology,[status(thm)],[])).
% 9.99/7.51 tff(39409,plain,
% 9.99/7.51 (~v135(constB151)),
% 9.99/7.51 inference(unit_resolution,[status(thm)],[39408, 39407, 39371])).
% 9.99/7.51 tff(39410,plain,
% 9.99/7.51 ((~(v137(constB152) <=> v135(constB151))) | (~v137(constB152)) | v135(constB151)),
% 9.99/7.51 inference(tautology,[status(thm)],[])).
% 9.99/7.51 tff(39411,plain,
% 9.99/7.51 (~v137(constB152)),
% 9.99/7.51 inference(unit_resolution,[status(thm)],[39410, 39409, 39369])).
% 9.99/7.51 tff(39412,plain,
% 9.99/7.51 ((~(v132(constB152) <=> v137(constB152))) | (~v132(constB152)) | v137(constB152)),
% 9.99/7.51 inference(tautology,[status(thm)],[])).
% 9.99/7.51 tff(39413,plain,
% 9.99/7.51 (~v132(constB152)),
% 9.99/7.51 inference(unit_resolution,[status(thm)],[39412, 39411, 39365])).
% 9.99/7.51 tff(39414,plain,
% 9.99/7.51 (((~v132(constB152)) | (~v139(constB152))) | v132(constB152)),
% 9.99/7.51 inference(tautology,[status(thm)],[])).
% 9.99/7.51 tff(39415,plain,
% 9.99/7.51 ((~v132(constB152)) | (~v139(constB152))),
% 9.99/7.51 inference(unit_resolution,[status(thm)],[39414, 39413])).
% 9.99/7.51 tff(39416,plain,
% 9.99/7.51 ((~(v138(constB152) <=> (~((~v132(constB152)) | (~v139(constB152)))))) | (~v138(constB152)) | (~((~v132(constB152)) | (~v139(constB152))))),
% 9.99/7.51 inference(tautology,[status(thm)],[])).
% 9.99/7.51 tff(39417,plain,
% 9.99/7.51 (~v138(constB152)),
% 9.99/7.51 inference(unit_resolution,[status(thm)],[39416, 39415, 39363])).
% 9.99/7.51 tff(39418,plain,
% 9.99/7.51 ((~(v138(constB152) | v142(constB152))) | v138(constB152) | v142(constB152)),
% 9.99/7.51 inference(tautology,[status(thm)],[])).
% 9.99/7.51 tff(39419,plain,
% 9.99/7.51 (~(v138(constB152) | v142(constB152))),
% 9.99/7.51 inference(unit_resolution,[status(thm)],[39418, 39417, 39356])).
% 9.99/7.51 tff(39420,plain,
% 9.99/7.51 ((~(v135(constB152) <=> (v138(constB152) | v142(constB152)))) | (~v135(constB152)) | (v138(constB152) | v142(constB152))),
% 9.99/7.51 inference(tautology,[status(thm)],[])).
% 9.99/7.51 tff(39421,plain,
% 9.99/7.51 (~v135(constB152)),
% 9.99/7.51 inference(unit_resolution,[status(thm)],[39420, 39419, 39343])).
% 9.99/7.51 tff(39422,plain,
% 9.99/7.51 ((~(v137(constB153) <=> v135(constB152))) | (~v137(constB153)) | v135(constB152)),
% 9.99/7.51 inference(tautology,[status(thm)],[])).
% 9.99/7.51 tff(39423,plain,
% 9.99/7.51 (~v137(constB153)),
% 9.99/7.51 inference(unit_resolution,[status(thm)],[39422, 39421, 39341])).
% 9.99/7.51 tff(39424,plain,
% 9.99/7.51 ((~(v132(constB153) <=> v137(constB153))) | (~v132(constB153)) | v137(constB153)),
% 9.99/7.51 inference(tautology,[status(thm)],[])).
% 9.99/7.51 tff(39425,plain,
% 9.99/7.51 (~v132(constB153)),
% 9.99/7.51 inference(unit_resolution,[status(thm)],[39424, 39423, 39337])).
% 9.99/7.51 tff(39426,plain,
% 9.99/7.51 (((~v132(constB153)) | (~v154(constB153))) | v132(constB153)),
% 9.99/7.51 inference(tautology,[status(thm)],[])).
% 9.99/7.51 tff(39427,plain,
% 9.99/7.51 ((~v132(constB153)) | (~v154(constB153))),
% 9.99/7.51 inference(unit_resolution,[status(thm)],[39426, 39425])).
% 9.99/7.51 tff(39428,plain,
% 9.99/7.51 ((~(v153(constB153) <=> (~((~v132(constB153)) | (~v154(constB153)))))) | (~v153(constB153)) | (~((~v132(constB153)) | (~v154(constB153))))),
% 9.99/7.51 inference(tautology,[status(thm)],[])).
% 9.99/7.51 tff(39429,plain,
% 9.99/7.51 (~v153(constB153)),
% 9.99/7.51 inference(unit_resolution,[status(thm)],[39428, 39427, 39335])).
% 9.99/7.51 tff(39430,plain,
% 9.99/7.51 ((~(v153(constB153) | v155(constB153))) | v153(constB153) | v155(constB153)),
% 9.99/7.51 inference(tautology,[status(thm)],[])).
% 9.99/7.51 tff(39431,plain,
% 9.99/7.51 (~(v153(constB153) | v155(constB153))),
% 9.99/7.51 inference(unit_resolution,[status(thm)],[39430, 39429, 39328])).
% 9.99/7.51 tff(39432,plain,
% 9.99/7.51 ((~(v150(constB153) <=> (v153(constB153) | v155(constB153)))) | (~v150(constB153)) | (v153(constB153) | v155(constB153))),
% 9.99/7.51 inference(tautology,[status(thm)],[])).
% 9.99/7.51 tff(39433,plain,
% 9.99/7.51 (~v150(constB153)),
% 9.99/7.51 inference(unit_resolution,[status(thm)],[39432, 39431, 39317])).
% 9.99/7.51 tff(39434,plain,
% 9.99/7.51 ((~(v152(constB154) <=> v150(constB153))) | (~v152(constB154)) | v150(constB153)),
% 9.99/7.51 inference(tautology,[status(thm)],[])).
% 9.99/7.51 tff(39435,plain,
% 9.99/7.51 (~v152(constB154)),
% 9.99/7.51 inference(unit_resolution,[status(thm)],[39434, 39433, 39315])).
% 9.99/7.51 tff(39436,plain,
% 9.99/7.51 ((~(v130(constB154) <=> v152(constB154))) | (~v130(constB154)) | v152(constB154)),
% 9.99/7.51 inference(tautology,[status(thm)],[])).
% 9.99/7.51 tff(39437,plain,
% 9.99/7.51 (~v130(constB154)),
% 9.99/7.51 inference(unit_resolution,[status(thm)],[39436, 39435, 39311])).
% 9.99/7.51 tff(39438,plain,
% 9.99/7.51 (((~v130(constB154)) | (~v139(constB154))) | v130(constB154)),
% 9.99/7.51 inference(tautology,[status(thm)],[])).
% 9.99/7.51 tff(39439,plain,
% 9.99/7.51 ((~v130(constB154)) | (~v139(constB154))),
% 9.99/7.51 inference(unit_resolution,[status(thm)],[39438, 39437])).
% 9.99/7.51 tff(39440,plain,
% 9.99/7.51 ((~(v155(constB154) <=> (~((~v130(constB154)) | (~v139(constB154)))))) | (~v155(constB154)) | (~((~v130(constB154)) | (~v139(constB154))))),
% 9.99/7.51 inference(tautology,[status(thm)],[])).
% 9.99/7.51 tff(39441,plain,
% 9.99/7.51 (~v155(constB154)),
% 9.99/7.51 inference(unit_resolution,[status(thm)],[39440, 39439, 39309])).
% 9.99/7.51 tff(39442,plain,
% 9.99/7.51 ((~(v153(constB154) | v155(constB154))) | v153(constB154) | v155(constB154)),
% 9.99/7.51 inference(tautology,[status(thm)],[])).
% 9.99/7.51 tff(39443,plain,
% 9.99/7.51 (~(v153(constB154) | v155(constB154))),
% 9.99/7.51 inference(unit_resolution,[status(thm)],[39442, 39441, 39302])).
% 9.99/7.51 tff(39444,plain,
% 9.99/7.51 ((~(v150(constB154) <=> (v153(constB154) | v155(constB154)))) | (~v150(constB154)) | (v153(constB154) | v155(constB154))),
% 9.99/7.51 inference(tautology,[status(thm)],[])).
% 9.99/7.51 tff(39445,plain,
% 9.99/7.51 (~v150(constB154)),
% 9.99/7.51 inference(unit_resolution,[status(thm)],[39444, 39443, 39291])).
% 9.99/7.51 tff(39446,plain,
% 9.99/7.51 ((~(v152(constB155) <=> v150(constB154))) | (~v152(constB155)) | v150(constB154)),
% 9.99/7.51 inference(tautology,[status(thm)],[])).
% 9.99/7.51 tff(39447,plain,
% 9.99/7.51 (~v152(constB155)),
% 9.99/7.51 inference(unit_resolution,[status(thm)],[39446, 39445, 39289])).
% 9.99/7.51 tff(39448,plain,
% 9.99/7.51 ((~(v130(constB155) <=> v152(constB155))) | (~v130(constB155)) | v152(constB155)),
% 9.99/7.51 inference(tautology,[status(thm)],[])).
% 9.99/7.51 tff(39449,plain,
% 9.99/7.51 (~v130(constB155)),
% 9.99/7.51 inference(unit_resolution,[status(thm)],[39448, 39447, 39285])).
% 9.99/7.51 tff(39450,plain,
% 9.99/7.51 (((~v130(constB155)) | (~v154(constB155))) | v130(constB155)),
% 9.99/7.51 inference(tautology,[status(thm)],[])).
% 9.99/7.51 tff(39451,plain,
% 9.99/7.51 ((~v130(constB155)) | (~v154(constB155))),
% 9.99/7.51 inference(unit_resolution,[status(thm)],[39450, 39449])).
% 9.99/7.51 tff(39452,plain,
% 9.99/7.51 ((~(v164(constB155) <=> (~((~v130(constB155)) | (~v154(constB155)))))) | (~v164(constB155)) | (~((~v130(constB155)) | (~v154(constB155))))),
% 9.99/7.51 inference(tautology,[status(thm)],[])).
% 9.99/7.51 tff(39453,plain,
% 9.99/7.51 (~v164(constB155)),
% 9.99/7.51 inference(unit_resolution,[status(thm)],[39452, 39451, 39283])).
% 9.99/7.51 tff(39454,plain,
% 9.99/7.51 ((~(v163(constB155) | v164(constB155))) | v163(constB155) | v164(constB155)),
% 9.99/7.51 inference(tautology,[status(thm)],[])).
% 9.99/7.51 tff(39455,plain,
% 9.99/7.51 (~(v163(constB155) | v164(constB155))),
% 9.99/7.51 inference(unit_resolution,[status(thm)],[39454, 39453, 39276])).
% 9.99/7.51 tff(39456,plain,
% 9.99/7.51 ((~(v160(constB155) <=> (v163(constB155) | v164(constB155)))) | (~v160(constB155)) | (v163(constB155) | v164(constB155))),
% 9.99/7.51 inference(tautology,[status(thm)],[])).
% 9.99/7.51 tff(39457,plain,
% 9.99/7.51 (~v160(constB155)),
% 9.99/7.51 inference(unit_resolution,[status(thm)],[39456, 39455, 39265])).
% 9.99/7.51 tff(39458,plain,
% 9.99/7.51 ((~(v162(constB156) <=> v160(constB155))) | (~v162(constB156)) | v160(constB155)),
% 9.99/7.51 inference(tautology,[status(thm)],[])).
% 9.99/7.51 tff(39459,plain,
% 9.99/7.51 (~v162(constB156)),
% 9.99/7.51 inference(unit_resolution,[status(thm)],[39458, 39457, 39263])).
% 9.99/7.51 tff(39460,plain,
% 9.99/7.51 ((~(v128(constB156) <=> v162(constB156))) | (~v128(constB156)) | v162(constB156)),
% 9.99/7.51 inference(tautology,[status(thm)],[])).
% 9.99/7.51 tff(39461,plain,
% 9.99/7.51 (~v128(constB156)),
% 9.99/7.51 inference(unit_resolution,[status(thm)],[39460, 39459, 39259])).
% 9.99/7.51 tff(39462,plain,
% 9.99/7.51 (((~v128(constB156)) | (~v139(constB156))) | v128(constB156)),
% 9.99/7.51 inference(tautology,[status(thm)],[])).
% 9.99/7.51 tff(39463,plain,
% 9.99/7.51 ((~v128(constB156)) | (~v139(constB156))),
% 9.99/7.51 inference(unit_resolution,[status(thm)],[39462, 39461])).
% 9.99/7.51 tff(39464,plain,
% 9.99/7.51 ((~(v163(constB156) <=> (~((~v128(constB156)) | (~v139(constB156)))))) | (~v163(constB156)) | (~((~v128(constB156)) | (~v139(constB156))))),
% 9.99/7.51 inference(tautology,[status(thm)],[])).
% 9.99/7.51 tff(39465,plain,
% 9.99/7.51 (~v163(constB156)),
% 9.99/7.51 inference(unit_resolution,[status(thm)],[39464, 39463, 39257])).
% 9.99/7.51 tff(39466,plain,
% 9.99/7.51 ((~(v163(constB156) | v164(constB156))) | v163(constB156) | v164(constB156)),
% 9.99/7.51 inference(tautology,[status(thm)],[])).
% 9.99/7.51 tff(39467,plain,
% 9.99/7.51 (~(v163(constB156) | v164(constB156))),
% 9.99/7.51 inference(unit_resolution,[status(thm)],[39466, 39465, 39250])).
% 9.99/7.51 tff(39468,plain,
% 9.99/7.51 ((~(v160(constB156) <=> (v163(constB156) | v164(constB156)))) | (~v160(constB156)) | (v163(constB156) | v164(constB156))),
% 9.99/7.51 inference(tautology,[status(thm)],[])).
% 9.99/7.51 tff(39469,plain,
% 9.99/7.51 (~v160(constB156)),
% 9.99/7.51 inference(unit_resolution,[status(thm)],[39468, 39467, 39239])).
% 9.99/7.51 tff(39470,plain,
% 9.99/7.51 ((~(v162(constB157) <=> v160(constB156))) | (~v162(constB157)) | v160(constB156)),
% 9.99/7.51 inference(tautology,[status(thm)],[])).
% 9.99/7.51 tff(39471,plain,
% 9.99/7.51 (~v162(constB157)),
% 9.99/7.51 inference(unit_resolution,[status(thm)],[39470, 39469, 39237])).
% 9.99/7.51 tff(39472,plain,
% 9.99/7.51 ($false),
% 9.99/7.51 inference(unit_resolution,[status(thm)],[39471, 39233])).
% 9.99/7.51 tff(39473,plain,(~(constB157 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.99/7.51 tff(39474,assumption,(constB189 = VarCurr!0), introduced(assumption)).
% 9.99/7.51 tff(39475,plain,
% 9.99/7.51 (v170(constB189) <=> v170(VarCurr!0)),
% 9.99/7.51 inference(monotonicity,[status(thm)],[39474])).
% 9.99/7.51 tff(39476,plain,
% 9.99/7.51 (v170(VarCurr!0) <=> v170(constB189)),
% 9.99/7.51 inference(symmetry,[status(thm)],[39475])).
% 9.99/7.51 tff(39477,plain,
% 9.99/7.51 (v170(constB189)),
% 9.99/7.51 inference(modus_ponens,[status(thm)],[26047, 39476])).
% 9.99/7.51 tff(39478,plain,
% 9.99/7.51 (((~![VarCurr: $i] : (v170(VarCurr) <=> (~((~v171(VarCurr)) | (~v141(VarCurr)))))) | (v170(constB189) <=> (~((~v141(constB189)) | (~v171(constB189)))))) <=> ((~![VarCurr: $i] : (v170(VarCurr) <=> (~((~v171(VarCurr)) | (~v141(VarCurr)))))) | (v170(constB189) <=> (~((~v141(constB189)) | (~v171(constB189))))))),
% 9.99/7.51 inference(rewrite,[status(thm)],[])).
% 9.99/7.51 tff(39479,plain,
% 9.99/7.51 ((v170(constB189) <=> (~((~v171(constB189)) | (~v141(constB189))))) <=> (v170(constB189) <=> (~((~v141(constB189)) | (~v171(constB189)))))),
% 9.99/7.51 inference(rewrite,[status(thm)],[])).
% 9.99/7.51 tff(39480,plain,
% 9.99/7.51 (((~![VarCurr: $i] : (v170(VarCurr) <=> (~((~v171(VarCurr)) | (~v141(VarCurr)))))) | (v170(constB189) <=> (~((~v171(constB189)) | (~v141(constB189)))))) <=> ((~![VarCurr: $i] : (v170(VarCurr) <=> (~((~v171(VarCurr)) | (~v141(VarCurr)))))) | (v170(constB189) <=> (~((~v141(constB189)) | (~v171(constB189))))))),
% 9.99/7.51 inference(monotonicity,[status(thm)],[39479])).
% 9.99/7.51 tff(39481,plain,
% 9.99/7.51 (((~![VarCurr: $i] : (v170(VarCurr) <=> (~((~v171(VarCurr)) | (~v141(VarCurr)))))) | (v170(constB189) <=> (~((~v171(constB189)) | (~v141(constB189)))))) <=> ((~![VarCurr: $i] : (v170(VarCurr) <=> (~((~v171(VarCurr)) | (~v141(VarCurr)))))) | (v170(constB189) <=> (~((~v141(constB189)) | (~v171(constB189))))))),
% 9.99/7.51 inference(transitivity,[status(thm)],[39480, 39478])).
% 9.99/7.51 tff(39482,plain,
% 9.99/7.51 ((~![VarCurr: $i] : (v170(VarCurr) <=> (~((~v171(VarCurr)) | (~v141(VarCurr)))))) | (v170(constB189) <=> (~((~v171(constB189)) | (~v141(constB189)))))),
% 9.99/7.51 inference(quant_inst,[status(thm)],[])).
% 9.99/7.51 tff(39483,plain,
% 9.99/7.51 ((~![VarCurr: $i] : (v170(VarCurr) <=> (~((~v171(VarCurr)) | (~v141(VarCurr)))))) | (v170(constB189) <=> (~((~v141(constB189)) | (~v171(constB189)))))),
% 9.99/7.51 inference(modus_ponens,[status(thm)],[39482, 39481])).
% 9.99/7.51 tff(39484,plain,
% 9.99/7.51 (v170(constB189) <=> (~((~v141(constB189)) | (~v171(constB189))))),
% 9.99/7.51 inference(unit_resolution,[status(thm)],[39483, 26058])).
% 9.99/7.51 tff(39485,plain,
% 9.99/7.51 ((~![VarCurr: $i] : ((~v171(VarCurr)) <=> v172(VarCurr))) | ((~v171(constB189)) <=> v172(constB189))),
% 9.99/7.51 inference(quant_inst,[status(thm)],[])).
% 9.99/7.51 tff(39486,plain,
% 9.99/7.51 ((~v171(constB189)) <=> v172(constB189)),
% 9.99/7.51 inference(unit_resolution,[status(thm)],[39485, 26072])).
% 9.99/7.51 tff(39487,plain,
% 9.99/7.51 (((~![VarCurr: $i] : (v172(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v172(constB189) <=> (~((~v84(constB189, bitIndex2)) | v84(constB189, bitIndex1) | v84(constB189, bitIndex0))))) <=> ((~![VarCurr: $i] : (v172(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v172(constB189) <=> (~((~v84(constB189, bitIndex2)) | v84(constB189, bitIndex1) | v84(constB189, bitIndex0)))))),
% 9.99/7.51 inference(rewrite,[status(thm)],[])).
% 9.99/7.51 tff(39488,plain,
% 9.99/7.51 ((v172(constB189) <=> (~(v84(constB189, bitIndex0) | v84(constB189, bitIndex1) | (~v84(constB189, bitIndex2))))) <=> (v172(constB189) <=> (~((~v84(constB189, bitIndex2)) | v84(constB189, bitIndex1) | v84(constB189, bitIndex0))))),
% 9.99/7.51 inference(rewrite,[status(thm)],[])).
% 9.99/7.51 tff(39489,plain,
% 9.99/7.51 (((~![VarCurr: $i] : (v172(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v172(constB189) <=> (~(v84(constB189, bitIndex0) | v84(constB189, bitIndex1) | (~v84(constB189, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v172(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v172(constB189) <=> (~((~v84(constB189, bitIndex2)) | v84(constB189, bitIndex1) | v84(constB189, bitIndex0)))))),
% 9.99/7.51 inference(monotonicity,[status(thm)],[39488])).
% 9.99/7.51 tff(39490,plain,
% 9.99/7.51 (((~![VarCurr: $i] : (v172(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v172(constB189) <=> (~(v84(constB189, bitIndex0) | v84(constB189, bitIndex1) | (~v84(constB189, bitIndex2)))))) <=> ((~![VarCurr: $i] : (v172(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v172(constB189) <=> (~((~v84(constB189, bitIndex2)) | v84(constB189, bitIndex1) | v84(constB189, bitIndex0)))))),
% 9.99/7.51 inference(transitivity,[status(thm)],[39489, 39487])).
% 9.99/7.51 tff(39491,plain,
% 9.99/7.51 ((~![VarCurr: $i] : (v172(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v172(constB189) <=> (~(v84(constB189, bitIndex0) | v84(constB189, bitIndex1) | (~v84(constB189, bitIndex2)))))),
% 9.99/7.51 inference(quant_inst,[status(thm)],[])).
% 9.99/7.51 tff(39492,plain,
% 9.99/7.51 ((~![VarCurr: $i] : (v172(VarCurr) <=> (~(v84(VarCurr, bitIndex0) | v84(VarCurr, bitIndex1) | (~v84(VarCurr, bitIndex2)))))) | (v172(constB189) <=> (~((~v84(constB189, bitIndex2)) | v84(constB189, bitIndex1) | v84(constB189, bitIndex0))))),
% 9.99/7.51 inference(modus_ponens,[status(thm)],[39491, 39490])).
% 9.99/7.51 tff(39493,plain,
% 9.99/7.51 (v172(constB189) <=> (~((~v84(constB189, bitIndex2)) | v84(constB189, bitIndex1) | v84(constB189, bitIndex0)))),
% 9.99/7.51 inference(unit_resolution,[status(thm)],[39492, 26087])).
% 9.99/7.51 tff(39494,plain,
% 9.99/7.51 ((~(v172(constB189) <=> (~((~v84(constB189, bitIndex2)) | v84(constB189, bitIndex1) | v84(constB189, bitIndex0))))) | v172(constB189) | ((~v84(constB189, bitIndex2)) | v84(constB189, bitIndex1) | v84(constB189, bitIndex0))),
% 9.99/7.51 inference(tautology,[status(thm)],[])).
% 9.99/7.51 tff(39495,plain,
% 9.99/7.51 (v172(constB189)),
% 9.99/7.51 inference(unit_resolution,[status(thm)],[39494, 25223, 39493])).
% 9.99/7.51 tff(39496,plain,
% 9.99/7.51 ((~((~v171(constB189)) <=> v172(constB189))) | (~v171(constB189)) | (~v172(constB189))),
% 9.99/7.51 inference(tautology,[status(thm)],[])).
% 9.99/7.51 tff(39497,plain,
% 9.99/7.51 (~v171(constB189)),
% 9.99/7.51 inference(unit_resolution,[status(thm)],[39496, 39495, 39486])).
% 9.99/7.51 tff(39498,plain,
% 9.99/7.51 (((~v141(constB189)) | (~v171(constB189))) | v171(constB189)),
% 9.99/7.51 inference(tautology,[status(thm)],[])).
% 9.99/7.51 tff(39499,plain,
% 9.99/7.51 ((~v141(constB189)) | (~v171(constB189))),
% 9.99/7.51 inference(unit_resolution,[status(thm)],[39498, 39497])).
% 9.99/7.51 tff(39500,plain,
% 9.99/7.51 ((~(v170(constB189) <=> (~((~v141(constB189)) | (~v171(constB189)))))) | (~v170(constB189)) | (~((~v141(constB189)) | (~v171(constB189))))),
% 9.99/7.51 inference(tautology,[status(thm)],[])).
% 9.99/7.51 tff(39501,plain,
% 9.99/7.51 (~v170(constB189)),
% 9.99/7.51 inference(unit_resolution,[status(thm)],[39500, 39499, 39484])).
% 9.99/7.51 tff(39502,plain,
% 9.99/7.51 ($false),
% 9.99/7.51 inference(unit_resolution,[status(thm)],[39501, 39477])).
% 9.99/7.51 tff(39503,plain,(~(constB189 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.99/7.51 tff(39504,assumption,(constB187 = VarCurr!0), introduced(assumption)).
% 9.99/7.51 tff(39505,plain,
% 9.99/7.51 (v162(constB187) <=> v162(VarCurr!0)),
% 9.99/7.51 inference(monotonicity,[status(thm)],[39504])).
% 9.99/7.51 tff(39506,plain,
% 9.99/7.51 (v162(VarCurr!0) <=> v162(constB187)),
% 9.99/7.51 inference(symmetry,[status(thm)],[39505])).
% 9.99/7.51 tff(39507,plain,
% 9.99/7.51 (v162(constB187)),
% 9.99/7.51 inference(modus_ponens,[status(thm)],[59, 39506])).
% 9.99/7.51 tff(39508,plain,
% 9.99/7.51 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB186, constB187)) | (v162(constB187) <=> v160(constB186)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB186, constB187)) | (v162(constB187) <=> v160(constB186)))),
% 9.99/7.51 inference(rewrite,[status(thm)],[])).
% 9.99/7.51 tff(39509,plain,
% 9.99/7.51 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB186, constB187)) | (v162(constB187) <=> v160(constB186)))),
% 9.99/7.51 inference(quant_inst,[status(thm)],[])).
% 9.99/7.51 tff(39510,plain,
% 9.99/7.51 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB186, constB187)) | (v162(constB187) <=> v160(constB186))),
% 9.99/7.51 inference(modus_ponens,[status(thm)],[39509, 39508])).
% 9.99/7.51 tff(39511,plain,
% 9.99/7.51 (v162(constB187) <=> v160(constB186)),
% 9.99/7.51 inference(unit_resolution,[status(thm)],[39510, 1189, 70])).
% 9.99/7.51 tff(39512,plain,
% 9.99/7.51 ((~![VarCurr: $i] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB186) <=> (v163(constB186) | v164(constB186)))),
% 9.99/7.51 inference(quant_inst,[status(thm)],[])).
% 9.99/7.51 tff(39513,plain,
% 9.99/7.51 (v160(constB186) <=> (v163(constB186) | v164(constB186))),
% 9.99/7.51 inference(unit_resolution,[status(thm)],[39512, 84])).
% 9.99/7.51 tff(39514,plain,
% 9.99/7.51 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB186) <=> (~((~v130(constB186)) | (~v154(constB186)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB186) <=> (~((~v130(constB186)) | (~v154(constB186))))))),
% 9.99/7.51 inference(rewrite,[status(thm)],[])).
% 9.99/7.51 tff(39515,plain,
% 9.99/7.51 ((v164(constB186) <=> (~((~v154(constB186)) | (~v130(constB186))))) <=> (v164(constB186) <=> (~((~v130(constB186)) | (~v154(constB186)))))),
% 9.99/7.51 inference(rewrite,[status(thm)],[])).
% 9.99/7.51 tff(39516,plain,
% 9.99/7.51 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB186) <=> (~((~v154(constB186)) | (~v130(constB186)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB186) <=> (~((~v130(constB186)) | (~v154(constB186))))))),
% 9.99/7.51 inference(monotonicity,[status(thm)],[39515])).
% 9.99/7.51 tff(39517,plain,
% 9.99/7.51 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB186) <=> (~((~v154(constB186)) | (~v130(constB186)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB186) <=> (~((~v130(constB186)) | (~v154(constB186))))))),
% 9.99/7.51 inference(transitivity,[status(thm)],[39516, 39514])).
% 9.99/7.51 tff(39518,plain,
% 9.99/7.51 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB186) <=> (~((~v154(constB186)) | (~v130(constB186)))))),
% 9.99/7.51 inference(quant_inst,[status(thm)],[])).
% 9.99/7.51 tff(39519,plain,
% 9.99/7.51 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB186) <=> (~((~v130(constB186)) | (~v154(constB186)))))),
% 9.99/7.51 inference(modus_ponens,[status(thm)],[39518, 39517])).
% 9.99/7.51 tff(39520,plain,
% 9.99/7.51 (v164(constB186) <=> (~((~v130(constB186)) | (~v154(constB186))))),
% 9.99/7.51 inference(unit_resolution,[status(thm)],[39519, 96])).
% 9.99/7.51 tff(39521,plain,
% 9.99/7.51 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB186) <=> (~((~v141(constB186)) | (~v143(constB186)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB186) <=> (~((~v141(constB186)) | (~v143(constB186))))))),
% 9.99/7.51 inference(rewrite,[status(thm)],[])).
% 9.99/7.51 tff(39522,plain,
% 9.99/7.51 ((v154(constB186) <=> (~((~v143(constB186)) | (~v141(constB186))))) <=> (v154(constB186) <=> (~((~v141(constB186)) | (~v143(constB186)))))),
% 9.99/7.51 inference(rewrite,[status(thm)],[])).
% 9.99/7.51 tff(39523,plain,
% 9.99/7.51 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB186) <=> (~((~v143(constB186)) | (~v141(constB186)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB186) <=> (~((~v141(constB186)) | (~v143(constB186))))))),
% 9.99/7.51 inference(monotonicity,[status(thm)],[39522])).
% 9.99/7.51 tff(39524,plain,
% 9.99/7.51 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB186) <=> (~((~v143(constB186)) | (~v141(constB186)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB186) <=> (~((~v141(constB186)) | (~v143(constB186))))))),
% 9.99/7.51 inference(transitivity,[status(thm)],[39523, 39521])).
% 9.99/7.51 tff(39525,plain,
% 9.99/7.51 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB186) <=> (~((~v143(constB186)) | (~v141(constB186)))))),
% 9.99/7.51 inference(quant_inst,[status(thm)],[])).
% 9.99/7.51 tff(39526,plain,
% 9.99/7.51 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB186) <=> (~((~v141(constB186)) | (~v143(constB186)))))),
% 9.99/7.51 inference(modus_ponens,[status(thm)],[39525, 39524])).
% 9.99/7.51 tff(39527,plain,
% 9.99/7.51 (v154(constB186) <=> (~((~v141(constB186)) | (~v143(constB186))))),
% 9.99/7.51 inference(unit_resolution,[status(thm)],[39526, 113])).
% 9.99/7.51 tff(39528,plain,
% 9.99/7.51 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB186) <=> (~((~v39(constB186)) | (~v9(constB186)))))),
% 9.99/7.51 inference(quant_inst,[status(thm)],[])).
% 9.99/7.51 tff(39529,plain,
% 9.99/7.51 (v141(constB186) <=> (~((~v39(constB186)) | (~v9(constB186))))),
% 9.99/7.51 inference(unit_resolution,[status(thm)],[39528, 130])).
% 9.99/7.51 tff(39530,plain,
% 9.99/7.51 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB186)) <=> v1(constB186))),
% 9.99/7.51 inference(quant_inst,[status(thm)],[])).
% 9.99/7.51 tff(39531,plain,
% 9.99/7.51 ((~v39(constB186)) <=> v1(constB186)),
% 9.99/7.51 inference(unit_resolution,[status(thm)],[39530, 139])).
% 9.99/7.51 tff(39532,plain,
% 9.99/7.51 ((~((~v39(constB186)) <=> v1(constB186))) | (~v39(constB186)) | (~v1(constB186))),
% 9.99/7.51 inference(tautology,[status(thm)],[])).
% 9.99/7.51 tff(39533,plain,
% 9.99/7.51 ((~((~v39(constB186)) <=> v1(constB186))) | (~v39(constB186))),
% 9.99/7.51 inference(unit_resolution,[status(thm)],[39532, 1251])).
% 9.99/7.51 tff(39534,plain,
% 9.99/7.51 (~v39(constB186)),
% 9.99/7.51 inference(unit_resolution,[status(thm)],[39533, 39531])).
% 9.99/7.51 tff(39535,plain,
% 9.99/7.51 (((~v39(constB186)) | (~v9(constB186))) | v39(constB186)),
% 9.99/7.51 inference(tautology,[status(thm)],[])).
% 9.99/7.51 tff(39536,plain,
% 9.99/7.51 ((~v39(constB186)) | (~v9(constB186))),
% 9.99/7.51 inference(unit_resolution,[status(thm)],[39535, 39534])).
% 9.99/7.51 tff(39537,plain,
% 9.99/7.51 ((~(v141(constB186) <=> (~((~v39(constB186)) | (~v9(constB186)))))) | (~v141(constB186)) | (~((~v39(constB186)) | (~v9(constB186))))),
% 9.99/7.51 inference(tautology,[status(thm)],[])).
% 9.99/7.51 tff(39538,plain,
% 9.99/7.51 ((~(v141(constB186) <=> (~((~v39(constB186)) | (~v9(constB186)))))) | (~v141(constB186))),
% 9.99/7.51 inference(unit_resolution,[status(thm)],[39537, 39536])).
% 9.99/7.51 tff(39539,plain,
% 9.99/7.51 (~v141(constB186)),
% 9.99/7.51 inference(unit_resolution,[status(thm)],[39538, 39529])).
% 9.99/7.51 tff(39540,plain,
% 9.99/7.51 (((~v141(constB186)) | (~v143(constB186))) | v141(constB186)),
% 9.99/7.51 inference(tautology,[status(thm)],[])).
% 9.99/7.51 tff(39541,plain,
% 9.99/7.51 ((~v141(constB186)) | (~v143(constB186))),
% 9.99/7.51 inference(unit_resolution,[status(thm)],[39540, 39539])).
% 9.99/7.51 tff(39542,plain,
% 9.99/7.51 ((~(v154(constB186) <=> (~((~v141(constB186)) | (~v143(constB186)))))) | (~v154(constB186)) | (~((~v141(constB186)) | (~v143(constB186))))),
% 9.99/7.51 inference(tautology,[status(thm)],[])).
% 9.99/7.51 tff(39543,plain,
% 9.99/7.51 ((~(v154(constB186) <=> (~((~v141(constB186)) | (~v143(constB186)))))) | (~v154(constB186))),
% 9.99/7.51 inference(unit_resolution,[status(thm)],[39542, 39541])).
% 9.99/7.51 tff(39544,plain,
% 9.99/7.51 (~v154(constB186)),
% 9.99/7.51 inference(unit_resolution,[status(thm)],[39543, 39527])).
% 9.99/7.51 tff(39545,plain,
% 9.99/7.51 (((~v130(constB186)) | (~v154(constB186))) | v154(constB186)),
% 9.99/7.52 inference(tautology,[status(thm)],[])).
% 9.99/7.52 tff(39546,plain,
% 9.99/7.52 ((~v130(constB186)) | (~v154(constB186))),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39545, 39544])).
% 9.99/7.52 tff(39547,plain,
% 9.99/7.52 ((~(v164(constB186) <=> (~((~v130(constB186)) | (~v154(constB186)))))) | (~v164(constB186)) | (~((~v130(constB186)) | (~v154(constB186))))),
% 9.99/7.52 inference(tautology,[status(thm)],[])).
% 9.99/7.52 tff(39548,plain,
% 9.99/7.52 (~v164(constB186)),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39547, 39546, 39520])).
% 9.99/7.52 tff(39549,plain,
% 9.99/7.52 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB186) <=> (~((~v128(constB186)) | (~v139(constB186)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB186) <=> (~((~v128(constB186)) | (~v139(constB186))))))),
% 9.99/7.52 inference(rewrite,[status(thm)],[])).
% 9.99/7.52 tff(39550,plain,
% 9.99/7.52 ((v163(constB186) <=> (~((~v139(constB186)) | (~v128(constB186))))) <=> (v163(constB186) <=> (~((~v128(constB186)) | (~v139(constB186)))))),
% 9.99/7.52 inference(rewrite,[status(thm)],[])).
% 9.99/7.52 tff(39551,plain,
% 9.99/7.52 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB186) <=> (~((~v139(constB186)) | (~v128(constB186)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB186) <=> (~((~v128(constB186)) | (~v139(constB186))))))),
% 9.99/7.52 inference(monotonicity,[status(thm)],[39550])).
% 9.99/7.52 tff(39552,plain,
% 9.99/7.52 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB186) <=> (~((~v139(constB186)) | (~v128(constB186)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB186) <=> (~((~v128(constB186)) | (~v139(constB186))))))),
% 9.99/7.52 inference(transitivity,[status(thm)],[39551, 39549])).
% 9.99/7.52 tff(39553,plain,
% 9.99/7.52 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB186) <=> (~((~v139(constB186)) | (~v128(constB186)))))),
% 9.99/7.52 inference(quant_inst,[status(thm)],[])).
% 9.99/7.52 tff(39554,plain,
% 9.99/7.52 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB186) <=> (~((~v128(constB186)) | (~v139(constB186)))))),
% 9.99/7.52 inference(modus_ponens,[status(thm)],[39553, 39552])).
% 9.99/7.52 tff(39555,plain,
% 9.99/7.52 (v163(constB186) <=> (~((~v128(constB186)) | (~v139(constB186))))),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39554, 171])).
% 9.99/7.52 tff(39556,plain,
% 9.99/7.52 ((~![VarNext: $i] : (v128(VarNext) <=> v162(VarNext))) | (v128(constB186) <=> v162(constB186))),
% 9.99/7.52 inference(quant_inst,[status(thm)],[])).
% 9.99/7.52 tff(39557,plain,
% 9.99/7.52 (v128(constB186) <=> v162(constB186)),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39556, 13])).
% 9.99/7.52 tff(39558,plain,
% 9.99/7.52 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB185, constB186)) | (v162(constB186) <=> v160(constB185)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB185, constB186)) | (v162(constB186) <=> v160(constB185)))),
% 9.99/7.52 inference(rewrite,[status(thm)],[])).
% 9.99/7.52 tff(39559,plain,
% 9.99/7.52 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB185, constB186)) | (v162(constB186) <=> v160(constB185)))),
% 9.99/7.52 inference(quant_inst,[status(thm)],[])).
% 9.99/7.52 tff(39560,plain,
% 9.99/7.52 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB185, constB186)) | (v162(constB186) <=> v160(constB185))),
% 9.99/7.52 inference(modus_ponens,[status(thm)],[39559, 39558])).
% 9.99/7.52 tff(39561,plain,
% 9.99/7.52 (v162(constB186) <=> v160(constB185)),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39560, 1221, 70])).
% 9.99/7.52 tff(39562,plain,
% 9.99/7.52 ((~![VarCurr: $i] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB185) <=> (v163(constB185) | v164(constB185)))),
% 9.99/7.52 inference(quant_inst,[status(thm)],[])).
% 9.99/7.52 tff(39563,plain,
% 9.99/7.52 (v160(constB185) <=> (v163(constB185) | v164(constB185))),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39562, 84])).
% 9.99/7.52 tff(39564,plain,
% 9.99/7.52 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB185) <=> (~((~v128(constB185)) | (~v139(constB185)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB185) <=> (~((~v128(constB185)) | (~v139(constB185))))))),
% 9.99/7.52 inference(rewrite,[status(thm)],[])).
% 9.99/7.52 tff(39565,plain,
% 9.99/7.52 ((v163(constB185) <=> (~((~v139(constB185)) | (~v128(constB185))))) <=> (v163(constB185) <=> (~((~v128(constB185)) | (~v139(constB185)))))),
% 9.99/7.52 inference(rewrite,[status(thm)],[])).
% 9.99/7.52 tff(39566,plain,
% 9.99/7.52 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB185) <=> (~((~v139(constB185)) | (~v128(constB185)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB185) <=> (~((~v128(constB185)) | (~v139(constB185))))))),
% 9.99/7.52 inference(monotonicity,[status(thm)],[39565])).
% 9.99/7.52 tff(39567,plain,
% 9.99/7.52 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB185) <=> (~((~v139(constB185)) | (~v128(constB185)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB185) <=> (~((~v128(constB185)) | (~v139(constB185))))))),
% 9.99/7.52 inference(transitivity,[status(thm)],[39566, 39564])).
% 9.99/7.52 tff(39568,plain,
% 9.99/7.52 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB185) <=> (~((~v139(constB185)) | (~v128(constB185)))))),
% 9.99/7.52 inference(quant_inst,[status(thm)],[])).
% 9.99/7.52 tff(39569,plain,
% 9.99/7.52 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB185) <=> (~((~v128(constB185)) | (~v139(constB185)))))),
% 9.99/7.52 inference(modus_ponens,[status(thm)],[39568, 39567])).
% 9.99/7.52 tff(39570,plain,
% 9.99/7.52 (v163(constB185) <=> (~((~v128(constB185)) | (~v139(constB185))))),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39569, 171])).
% 9.99/7.52 tff(39571,plain,
% 9.99/7.52 ((~![VarCurr: $i] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB185)) <=> v140(constB185))),
% 9.99/7.52 inference(quant_inst,[status(thm)],[])).
% 9.99/7.52 tff(39572,plain,
% 9.99/7.52 ((~v139(constB185)) <=> v140(constB185)),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39571, 203])).
% 9.99/7.52 tff(39573,plain,
% 9.99/7.52 ((~![VarCurr: $i] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB185) <=> (v141(constB185) | v26(constB185)))),
% 9.99/7.52 inference(quant_inst,[status(thm)],[])).
% 9.99/7.52 tff(39574,plain,
% 9.99/7.52 (v140(constB185) <=> (v141(constB185) | v26(constB185))),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39573, 212])).
% 9.99/7.52 tff(39575,plain,
% 9.99/7.52 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB185) <=> (~((~v39(constB185)) | (~v9(constB185)))))),
% 9.99/7.52 inference(quant_inst,[status(thm)],[])).
% 9.99/7.52 tff(39576,plain,
% 9.99/7.52 (v141(constB185) <=> (~((~v39(constB185)) | (~v9(constB185))))),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39575, 130])).
% 9.99/7.52 tff(39577,plain,
% 9.99/7.52 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB185, constB186)) | (v13(constB186) <=> v9(constB185)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB185, constB186)) | (v13(constB186) <=> v9(constB185)))),
% 9.99/7.52 inference(rewrite,[status(thm)],[])).
% 9.99/7.52 tff(39578,plain,
% 9.99/7.52 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB185, constB186)) | (v13(constB186) <=> v9(constB185)))),
% 9.99/7.52 inference(quant_inst,[status(thm)],[])).
% 9.99/7.52 tff(39579,plain,
% 9.99/7.52 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB185, constB186)) | (v13(constB186) <=> v9(constB185))),
% 9.99/7.52 inference(modus_ponens,[status(thm)],[39578, 39577])).
% 9.99/7.52 tff(39580,plain,
% 9.99/7.52 (v13(constB186) <=> v9(constB185)),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39579, 1221, 226])).
% 9.99/7.52 tff(39581,plain,
% 9.99/7.52 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB186) <=> v13(constB186))),
% 9.99/7.52 inference(quant_inst,[status(thm)],[])).
% 9.99/7.52 tff(39582,plain,
% 9.99/7.52 (v6(constB186) <=> v13(constB186)),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39581, 240])).
% 9.99/7.52 tff(39583,plain,
% 9.99/7.52 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB186)) <=> v6(constB186))),
% 9.99/7.52 inference(quant_inst,[status(thm)],[])).
% 9.99/7.52 tff(39584,plain,
% 9.99/7.52 ((~v21(constB186)) <=> v6(constB186)),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39583, 249])).
% 9.99/7.52 tff(39585,plain,
% 9.99/7.52 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB186) <=> (v20(constB186) | v21(constB186)))),
% 9.99/7.52 inference(quant_inst,[status(thm)],[])).
% 9.99/7.52 tff(39586,plain,
% 9.99/7.52 (v19(constB186) <=> (v20(constB186) | v21(constB186))),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39585, 258])).
% 9.99/7.52 tff(39587,plain,
% 9.99/7.52 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB186) <=> (~((~v19(constB186)) | (~v22(constB186)))))),
% 9.99/7.52 inference(quant_inst,[status(thm)],[])).
% 9.99/7.52 tff(39588,plain,
% 9.99/7.52 (v18(constB186) <=> (~((~v19(constB186)) | (~v22(constB186))))),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39587, 270])).
% 9.99/7.52 tff(39589,plain,
% 9.99/7.52 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB186)) <=> v18(constB186))),
% 9.99/7.52 inference(quant_inst,[status(thm)],[])).
% 9.99/7.52 tff(39590,plain,
% 9.99/7.52 ((~v4(constB186)) <=> v18(constB186)),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39589, 279])).
% 9.99/7.52 tff(39591,plain,
% 9.99/7.52 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB186)),
% 9.99/7.52 inference(quant_inst,[status(thm)],[])).
% 9.99/7.52 tff(39592,plain,
% 9.99/7.52 (v4(constB186)),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39591, 288])).
% 9.99/7.52 tff(39593,plain,
% 9.99/7.52 ((~((~v4(constB186)) <=> v18(constB186))) | (~v4(constB186)) | (~v18(constB186))),
% 9.99/7.52 inference(tautology,[status(thm)],[])).
% 9.99/7.52 tff(39594,plain,
% 9.99/7.52 (~v18(constB186)),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39593, 39592, 39590])).
% 9.99/7.52 tff(39595,plain,
% 9.99/7.52 ((~(v18(constB186) <=> (~((~v19(constB186)) | (~v22(constB186)))))) | v18(constB186) | ((~v19(constB186)) | (~v22(constB186)))),
% 9.99/7.52 inference(tautology,[status(thm)],[])).
% 9.99/7.52 tff(39596,plain,
% 9.99/7.52 ((~v19(constB186)) | (~v22(constB186))),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39595, 39594, 39588])).
% 9.99/7.52 tff(39597,plain,
% 9.99/7.52 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB186) <=> (v1(constB186) | v6(constB186)))),
% 9.99/7.52 inference(quant_inst,[status(thm)],[])).
% 9.99/7.52 tff(39598,plain,
% 9.99/7.52 (v22(constB186) <=> (v1(constB186) | v6(constB186))),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39597, 301])).
% 9.99/7.52 tff(39599,plain,
% 9.99/7.52 ((v1(constB186) | v6(constB186)) | (~v1(constB186))),
% 9.99/7.52 inference(tautology,[status(thm)],[])).
% 9.99/7.52 tff(39600,plain,
% 9.99/7.52 (v1(constB186) | v6(constB186)),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39599, 1251])).
% 9.99/7.52 tff(39601,plain,
% 9.99/7.52 ((~(v22(constB186) <=> (v1(constB186) | v6(constB186)))) | v22(constB186) | (~(v1(constB186) | v6(constB186)))),
% 9.99/7.52 inference(tautology,[status(thm)],[])).
% 9.99/7.52 tff(39602,plain,
% 9.99/7.52 ((~(v22(constB186) <=> (v1(constB186) | v6(constB186)))) | v22(constB186)),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39601, 39600])).
% 9.99/7.52 tff(39603,plain,
% 9.99/7.52 (v22(constB186)),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39602, 39598])).
% 9.99/7.52 tff(39604,plain,
% 9.99/7.52 ((~((~v19(constB186)) | (~v22(constB186)))) | (~v19(constB186)) | (~v22(constB186))),
% 9.99/7.52 inference(tautology,[status(thm)],[])).
% 9.99/7.52 tff(39605,plain,
% 9.99/7.52 ((~((~v19(constB186)) | (~v22(constB186)))) | (~v19(constB186))),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39604, 39603])).
% 9.99/7.52 tff(39606,plain,
% 9.99/7.52 (~v19(constB186)),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39605, 39596])).
% 9.99/7.52 tff(39607,plain,
% 9.99/7.52 ((~(v19(constB186) <=> (v20(constB186) | v21(constB186)))) | v19(constB186) | (~(v20(constB186) | v21(constB186)))),
% 9.99/7.52 inference(tautology,[status(thm)],[])).
% 9.99/7.52 tff(39608,plain,
% 9.99/7.52 (~(v20(constB186) | v21(constB186))),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39607, 39606, 39586])).
% 9.99/7.52 tff(39609,plain,
% 9.99/7.52 ((v20(constB186) | v21(constB186)) | (~v21(constB186))),
% 9.99/7.52 inference(tautology,[status(thm)],[])).
% 9.99/7.52 tff(39610,plain,
% 9.99/7.52 (~v21(constB186)),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39609, 39608])).
% 9.99/7.52 tff(39611,plain,
% 9.99/7.52 ((~((~v21(constB186)) <=> v6(constB186))) | v21(constB186) | v6(constB186)),
% 9.99/7.52 inference(tautology,[status(thm)],[])).
% 9.99/7.52 tff(39612,plain,
% 9.99/7.52 (v6(constB186)),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39611, 39610, 39584])).
% 9.99/7.52 tff(39613,plain,
% 9.99/7.52 ((~(v6(constB186) <=> v13(constB186))) | (~v6(constB186)) | v13(constB186)),
% 9.99/7.52 inference(tautology,[status(thm)],[])).
% 9.99/7.52 tff(39614,plain,
% 9.99/7.52 (v13(constB186)),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39613, 39612, 39582])).
% 9.99/7.52 tff(39615,plain,
% 9.99/7.52 ((~(v13(constB186) <=> v9(constB185))) | (~v13(constB186)) | v9(constB185)),
% 9.99/7.52 inference(tautology,[status(thm)],[])).
% 9.99/7.52 tff(39616,plain,
% 9.99/7.52 (v9(constB185)),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39615, 39614, 39580])).
% 9.99/7.52 tff(39617,plain,
% 9.99/7.52 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB185)) <=> v1(constB185))),
% 9.99/7.52 inference(quant_inst,[status(thm)],[])).
% 9.99/7.52 tff(39618,plain,
% 9.99/7.52 ((~v39(constB185)) <=> v1(constB185)),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39617, 139])).
% 9.99/7.52 tff(39619,plain,
% 9.99/7.52 ((~((~v39(constB185)) <=> v1(constB185))) | v39(constB185) | v1(constB185)),
% 9.99/7.52 inference(tautology,[status(thm)],[])).
% 9.99/7.52 tff(39620,plain,
% 9.99/7.52 ((~((~v39(constB185)) <=> v1(constB185))) | v39(constB185)),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39619, 1243])).
% 9.99/7.52 tff(39621,plain,
% 9.99/7.52 (v39(constB185)),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39620, 39618])).
% 9.99/7.52 tff(39622,plain,
% 9.99/7.52 ((~((~v39(constB185)) | (~v9(constB185)))) | (~v39(constB185)) | (~v9(constB185))),
% 9.99/7.52 inference(tautology,[status(thm)],[])).
% 9.99/7.52 tff(39623,plain,
% 9.99/7.52 ((~((~v39(constB185)) | (~v9(constB185)))) | (~v9(constB185))),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39622, 39621])).
% 9.99/7.52 tff(39624,plain,
% 9.99/7.52 (~((~v39(constB185)) | (~v9(constB185)))),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39623, 39616])).
% 9.99/7.52 tff(39625,plain,
% 9.99/7.52 ((~(v141(constB185) <=> (~((~v39(constB185)) | (~v9(constB185)))))) | v141(constB185) | ((~v39(constB185)) | (~v9(constB185)))),
% 9.99/7.52 inference(tautology,[status(thm)],[])).
% 9.99/7.52 tff(39626,plain,
% 9.99/7.52 (v141(constB185)),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39625, 39624, 39576])).
% 9.99/7.52 tff(39627,plain,
% 9.99/7.52 ((v141(constB185) | v26(constB185)) | (~v141(constB185))),
% 9.99/7.52 inference(tautology,[status(thm)],[])).
% 9.99/7.52 tff(39628,plain,
% 9.99/7.52 (v141(constB185) | v26(constB185)),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39627, 39626])).
% 9.99/7.52 tff(39629,plain,
% 9.99/7.52 ((~(v140(constB185) <=> (v141(constB185) | v26(constB185)))) | v140(constB185) | (~(v141(constB185) | v26(constB185)))),
% 9.99/7.52 inference(tautology,[status(thm)],[])).
% 9.99/7.52 tff(39630,plain,
% 9.99/7.52 (v140(constB185)),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39629, 39628, 39574])).
% 9.99/7.52 tff(39631,plain,
% 9.99/7.52 ((~((~v139(constB185)) <=> v140(constB185))) | (~v139(constB185)) | (~v140(constB185))),
% 9.99/7.52 inference(tautology,[status(thm)],[])).
% 9.99/7.52 tff(39632,plain,
% 9.99/7.52 (~v139(constB185)),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39631, 39630, 39572])).
% 9.99/7.52 tff(39633,plain,
% 9.99/7.52 (((~v128(constB185)) | (~v139(constB185))) | v139(constB185)),
% 9.99/7.52 inference(tautology,[status(thm)],[])).
% 9.99/7.52 tff(39634,plain,
% 9.99/7.52 ((~v128(constB185)) | (~v139(constB185))),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39633, 39632])).
% 9.99/7.52 tff(39635,plain,
% 9.99/7.52 ((~(v163(constB185) <=> (~((~v128(constB185)) | (~v139(constB185)))))) | (~v163(constB185)) | (~((~v128(constB185)) | (~v139(constB185))))),
% 9.99/7.52 inference(tautology,[status(thm)],[])).
% 9.99/7.52 tff(39636,plain,
% 9.99/7.52 (~v163(constB185)),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39635, 39634, 39570])).
% 9.99/7.52 tff(39637,plain,
% 9.99/7.52 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB185) <=> (~((~v130(constB185)) | (~v154(constB185)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB185) <=> (~((~v130(constB185)) | (~v154(constB185))))))),
% 9.99/7.52 inference(rewrite,[status(thm)],[])).
% 9.99/7.52 tff(39638,plain,
% 9.99/7.52 ((v164(constB185) <=> (~((~v154(constB185)) | (~v130(constB185))))) <=> (v164(constB185) <=> (~((~v130(constB185)) | (~v154(constB185)))))),
% 9.99/7.52 inference(rewrite,[status(thm)],[])).
% 9.99/7.52 tff(39639,plain,
% 9.99/7.52 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB185) <=> (~((~v154(constB185)) | (~v130(constB185)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB185) <=> (~((~v130(constB185)) | (~v154(constB185))))))),
% 9.99/7.52 inference(monotonicity,[status(thm)],[39638])).
% 9.99/7.52 tff(39640,plain,
% 9.99/7.52 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB185) <=> (~((~v154(constB185)) | (~v130(constB185)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB185) <=> (~((~v130(constB185)) | (~v154(constB185))))))),
% 9.99/7.52 inference(transitivity,[status(thm)],[39639, 39637])).
% 9.99/7.52 tff(39641,plain,
% 9.99/7.52 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB185) <=> (~((~v154(constB185)) | (~v130(constB185)))))),
% 9.99/7.52 inference(quant_inst,[status(thm)],[])).
% 9.99/7.52 tff(39642,plain,
% 9.99/7.52 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB185) <=> (~((~v130(constB185)) | (~v154(constB185)))))),
% 9.99/7.52 inference(modus_ponens,[status(thm)],[39641, 39640])).
% 9.99/7.52 tff(39643,plain,
% 9.99/7.52 (v164(constB185) <=> (~((~v130(constB185)) | (~v154(constB185))))),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39642, 96])).
% 9.99/7.52 tff(39644,plain,
% 9.99/7.52 ((~![VarNext: $i] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB185) <=> v152(constB185))),
% 9.99/7.52 inference(quant_inst,[status(thm)],[])).
% 9.99/7.52 tff(39645,plain,
% 9.99/7.52 (v130(constB185) <=> v152(constB185)),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39644, 361])).
% 9.99/7.52 tff(39646,plain,
% 9.99/7.52 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB184, constB185)) | (v152(constB185) <=> v150(constB184)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB184, constB185)) | (v152(constB185) <=> v150(constB184)))),
% 9.99/7.52 inference(rewrite,[status(thm)],[])).
% 9.99/7.52 tff(39647,plain,
% 9.99/7.52 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB184, constB185)) | (v152(constB185) <=> v150(constB184)))),
% 9.99/7.52 inference(quant_inst,[status(thm)],[])).
% 9.99/7.52 tff(39648,plain,
% 9.99/7.52 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB184, constB185)) | (v152(constB185) <=> v150(constB184))),
% 9.99/7.52 inference(modus_ponens,[status(thm)],[39647, 39646])).
% 9.99/7.52 tff(39649,plain,
% 9.99/7.52 (v152(constB185) <=> v150(constB184)),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39648, 1304, 373])).
% 9.99/7.52 tff(39650,plain,
% 9.99/7.52 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v153(VarCurr) | v155(VarCurr)))) | (v150(constB184) <=> (v153(constB184) | v155(constB184)))),
% 9.99/7.52 inference(quant_inst,[status(thm)],[])).
% 9.99/7.52 tff(39651,plain,
% 9.99/7.52 (v150(constB184) <=> (v153(constB184) | v155(constB184))),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39650, 387])).
% 9.99/7.52 tff(39652,plain,
% 9.99/7.52 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB184) <=> (~((~v132(constB184)) | (~v154(constB184)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB184) <=> (~((~v132(constB184)) | (~v154(constB184))))))),
% 9.99/7.52 inference(rewrite,[status(thm)],[])).
% 9.99/7.52 tff(39653,plain,
% 9.99/7.52 ((v153(constB184) <=> (~((~v154(constB184)) | (~v132(constB184))))) <=> (v153(constB184) <=> (~((~v132(constB184)) | (~v154(constB184)))))),
% 9.99/7.52 inference(rewrite,[status(thm)],[])).
% 9.99/7.52 tff(39654,plain,
% 9.99/7.52 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB184) <=> (~((~v154(constB184)) | (~v132(constB184)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB184) <=> (~((~v132(constB184)) | (~v154(constB184))))))),
% 9.99/7.52 inference(monotonicity,[status(thm)],[39653])).
% 9.99/7.52 tff(39655,plain,
% 9.99/7.52 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB184) <=> (~((~v154(constB184)) | (~v132(constB184)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB184) <=> (~((~v132(constB184)) | (~v154(constB184))))))),
% 9.99/7.52 inference(transitivity,[status(thm)],[39654, 39652])).
% 9.99/7.52 tff(39656,plain,
% 9.99/7.52 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB184) <=> (~((~v154(constB184)) | (~v132(constB184)))))),
% 9.99/7.52 inference(quant_inst,[status(thm)],[])).
% 9.99/7.52 tff(39657,plain,
% 9.99/7.52 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB184) <=> (~((~v132(constB184)) | (~v154(constB184)))))),
% 9.99/7.52 inference(modus_ponens,[status(thm)],[39656, 39655])).
% 9.99/7.52 tff(39658,plain,
% 9.99/7.52 (v153(constB184) <=> (~((~v132(constB184)) | (~v154(constB184))))),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39657, 399])).
% 9.99/7.52 tff(39659,plain,
% 9.99/7.52 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB184) <=> (~((~v141(constB184)) | (~v143(constB184)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB184) <=> (~((~v141(constB184)) | (~v143(constB184))))))),
% 9.99/7.52 inference(rewrite,[status(thm)],[])).
% 9.99/7.52 tff(39660,plain,
% 9.99/7.52 ((v154(constB184) <=> (~((~v143(constB184)) | (~v141(constB184))))) <=> (v154(constB184) <=> (~((~v141(constB184)) | (~v143(constB184)))))),
% 9.99/7.52 inference(rewrite,[status(thm)],[])).
% 9.99/7.52 tff(39661,plain,
% 9.99/7.52 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB184) <=> (~((~v143(constB184)) | (~v141(constB184)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB184) <=> (~((~v141(constB184)) | (~v143(constB184))))))),
% 9.99/7.52 inference(monotonicity,[status(thm)],[39660])).
% 9.99/7.52 tff(39662,plain,
% 9.99/7.52 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB184) <=> (~((~v143(constB184)) | (~v141(constB184)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB184) <=> (~((~v141(constB184)) | (~v143(constB184))))))),
% 9.99/7.52 inference(transitivity,[status(thm)],[39661, 39659])).
% 9.99/7.52 tff(39663,plain,
% 9.99/7.52 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB184) <=> (~((~v143(constB184)) | (~v141(constB184)))))),
% 9.99/7.52 inference(quant_inst,[status(thm)],[])).
% 9.99/7.52 tff(39664,plain,
% 9.99/7.52 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB184) <=> (~((~v141(constB184)) | (~v143(constB184)))))),
% 9.99/7.52 inference(modus_ponens,[status(thm)],[39663, 39662])).
% 9.99/7.52 tff(39665,plain,
% 9.99/7.52 (v154(constB184) <=> (~((~v141(constB184)) | (~v143(constB184))))),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39664, 113])).
% 9.99/7.52 tff(39666,plain,
% 9.99/7.52 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB184) <=> (~((~v39(constB184)) | (~v9(constB184)))))),
% 9.99/7.52 inference(quant_inst,[status(thm)],[])).
% 9.99/7.52 tff(39667,plain,
% 9.99/7.52 (v141(constB184) <=> (~((~v39(constB184)) | (~v9(constB184))))),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39666, 130])).
% 9.99/7.52 tff(39668,plain,
% 9.99/7.52 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB184)) <=> v1(constB184))),
% 9.99/7.52 inference(quant_inst,[status(thm)],[])).
% 9.99/7.52 tff(39669,plain,
% 9.99/7.52 ((~v39(constB184)) <=> v1(constB184)),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39668, 139])).
% 9.99/7.52 tff(39670,plain,
% 9.99/7.52 ((~((~v39(constB184)) <=> v1(constB184))) | (~v39(constB184)) | (~v1(constB184))),
% 9.99/7.52 inference(tautology,[status(thm)],[])).
% 9.99/7.52 tff(39671,plain,
% 9.99/7.52 ((~((~v39(constB184)) <=> v1(constB184))) | (~v39(constB184))),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39670, 1366])).
% 9.99/7.52 tff(39672,plain,
% 9.99/7.52 (~v39(constB184)),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39671, 39669])).
% 9.99/7.52 tff(39673,plain,
% 9.99/7.52 (((~v39(constB184)) | (~v9(constB184))) | v39(constB184)),
% 9.99/7.52 inference(tautology,[status(thm)],[])).
% 9.99/7.52 tff(39674,plain,
% 9.99/7.52 ((~v39(constB184)) | (~v9(constB184))),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39673, 39672])).
% 9.99/7.52 tff(39675,plain,
% 9.99/7.52 ((~(v141(constB184) <=> (~((~v39(constB184)) | (~v9(constB184)))))) | (~v141(constB184)) | (~((~v39(constB184)) | (~v9(constB184))))),
% 9.99/7.52 inference(tautology,[status(thm)],[])).
% 9.99/7.52 tff(39676,plain,
% 9.99/7.52 ((~(v141(constB184) <=> (~((~v39(constB184)) | (~v9(constB184)))))) | (~v141(constB184))),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39675, 39674])).
% 9.99/7.52 tff(39677,plain,
% 9.99/7.52 (~v141(constB184)),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39676, 39667])).
% 9.99/7.52 tff(39678,plain,
% 9.99/7.52 (((~v141(constB184)) | (~v143(constB184))) | v141(constB184)),
% 9.99/7.52 inference(tautology,[status(thm)],[])).
% 9.99/7.52 tff(39679,plain,
% 9.99/7.52 ((~v141(constB184)) | (~v143(constB184))),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39678, 39677])).
% 9.99/7.52 tff(39680,plain,
% 9.99/7.52 ((~(v154(constB184) <=> (~((~v141(constB184)) | (~v143(constB184)))))) | (~v154(constB184)) | (~((~v141(constB184)) | (~v143(constB184))))),
% 9.99/7.52 inference(tautology,[status(thm)],[])).
% 9.99/7.52 tff(39681,plain,
% 9.99/7.52 ((~(v154(constB184) <=> (~((~v141(constB184)) | (~v143(constB184)))))) | (~v154(constB184))),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39680, 39679])).
% 9.99/7.52 tff(39682,plain,
% 9.99/7.52 (~v154(constB184)),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39681, 39665])).
% 9.99/7.52 tff(39683,plain,
% 9.99/7.52 (((~v132(constB184)) | (~v154(constB184))) | v154(constB184)),
% 9.99/7.52 inference(tautology,[status(thm)],[])).
% 9.99/7.52 tff(39684,plain,
% 9.99/7.52 ((~v132(constB184)) | (~v154(constB184))),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39683, 39682])).
% 9.99/7.52 tff(39685,plain,
% 9.99/7.52 ((~(v153(constB184) <=> (~((~v132(constB184)) | (~v154(constB184)))))) | (~v153(constB184)) | (~((~v132(constB184)) | (~v154(constB184))))),
% 9.99/7.52 inference(tautology,[status(thm)],[])).
% 9.99/7.52 tff(39686,plain,
% 9.99/7.52 (~v153(constB184)),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39685, 39684, 39658])).
% 9.99/7.52 tff(39687,plain,
% 9.99/7.52 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB184) <=> (~((~v130(constB184)) | (~v139(constB184)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB184) <=> (~((~v130(constB184)) | (~v139(constB184))))))),
% 9.99/7.52 inference(rewrite,[status(thm)],[])).
% 9.99/7.52 tff(39688,plain,
% 9.99/7.52 ((v155(constB184) <=> (~((~v139(constB184)) | (~v130(constB184))))) <=> (v155(constB184) <=> (~((~v130(constB184)) | (~v139(constB184)))))),
% 9.99/7.52 inference(rewrite,[status(thm)],[])).
% 9.99/7.52 tff(39689,plain,
% 9.99/7.52 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB184) <=> (~((~v139(constB184)) | (~v130(constB184)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB184) <=> (~((~v130(constB184)) | (~v139(constB184))))))),
% 9.99/7.52 inference(monotonicity,[status(thm)],[39688])).
% 9.99/7.52 tff(39690,plain,
% 9.99/7.52 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB184) <=> (~((~v139(constB184)) | (~v130(constB184)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB184) <=> (~((~v130(constB184)) | (~v139(constB184))))))),
% 9.99/7.52 inference(transitivity,[status(thm)],[39689, 39687])).
% 9.99/7.52 tff(39691,plain,
% 9.99/7.52 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB184) <=> (~((~v139(constB184)) | (~v130(constB184)))))),
% 9.99/7.52 inference(quant_inst,[status(thm)],[])).
% 9.99/7.52 tff(39692,plain,
% 9.99/7.52 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB184) <=> (~((~v130(constB184)) | (~v139(constB184)))))),
% 9.99/7.52 inference(modus_ponens,[status(thm)],[39691, 39690])).
% 9.99/7.52 tff(39693,plain,
% 9.99/7.52 (v155(constB184) <=> (~((~v130(constB184)) | (~v139(constB184))))),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39692, 447])).
% 9.99/7.52 tff(39694,plain,
% 9.99/7.52 ((~![VarNext: $i] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB184) <=> v152(constB184))),
% 9.99/7.52 inference(quant_inst,[status(thm)],[])).
% 9.99/7.52 tff(39695,plain,
% 9.99/7.52 (v130(constB184) <=> v152(constB184)),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39694, 361])).
% 9.99/7.52 tff(39696,plain,
% 9.99/7.52 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB183, constB184)) | (v152(constB184) <=> v150(constB183)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB183, constB184)) | (v152(constB184) <=> v150(constB183)))),
% 9.99/7.52 inference(rewrite,[status(thm)],[])).
% 9.99/7.52 tff(39697,plain,
% 9.99/7.52 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB183, constB184)) | (v152(constB184) <=> v150(constB183)))),
% 9.99/7.52 inference(quant_inst,[status(thm)],[])).
% 9.99/7.52 tff(39698,plain,
% 9.99/7.52 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB183, constB184)) | (v152(constB184) <=> v150(constB183))),
% 9.99/7.52 inference(modus_ponens,[status(thm)],[39697, 39696])).
% 9.99/7.52 tff(39699,plain,
% 9.99/7.52 (v152(constB184) <=> v150(constB183)),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39698, 1336, 373])).
% 9.99/7.52 tff(39700,plain,
% 9.99/7.52 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v153(VarCurr) | v155(VarCurr)))) | (v150(constB183) <=> (v153(constB183) | v155(constB183)))),
% 9.99/7.52 inference(quant_inst,[status(thm)],[])).
% 9.99/7.52 tff(39701,plain,
% 9.99/7.52 (v150(constB183) <=> (v153(constB183) | v155(constB183))),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39700, 387])).
% 9.99/7.52 tff(39702,plain,
% 9.99/7.52 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB183) <=> (~((~v130(constB183)) | (~v139(constB183)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB183) <=> (~((~v130(constB183)) | (~v139(constB183))))))),
% 9.99/7.52 inference(rewrite,[status(thm)],[])).
% 9.99/7.52 tff(39703,plain,
% 9.99/7.52 ((v155(constB183) <=> (~((~v139(constB183)) | (~v130(constB183))))) <=> (v155(constB183) <=> (~((~v130(constB183)) | (~v139(constB183)))))),
% 9.99/7.52 inference(rewrite,[status(thm)],[])).
% 9.99/7.52 tff(39704,plain,
% 9.99/7.52 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB183) <=> (~((~v139(constB183)) | (~v130(constB183)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB183) <=> (~((~v130(constB183)) | (~v139(constB183))))))),
% 9.99/7.52 inference(monotonicity,[status(thm)],[39703])).
% 9.99/7.52 tff(39705,plain,
% 9.99/7.52 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB183) <=> (~((~v139(constB183)) | (~v130(constB183)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB183) <=> (~((~v130(constB183)) | (~v139(constB183))))))),
% 9.99/7.52 inference(transitivity,[status(thm)],[39704, 39702])).
% 9.99/7.52 tff(39706,plain,
% 9.99/7.52 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB183) <=> (~((~v139(constB183)) | (~v130(constB183)))))),
% 9.99/7.52 inference(quant_inst,[status(thm)],[])).
% 9.99/7.52 tff(39707,plain,
% 9.99/7.52 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB183) <=> (~((~v130(constB183)) | (~v139(constB183)))))),
% 9.99/7.52 inference(modus_ponens,[status(thm)],[39706, 39705])).
% 9.99/7.52 tff(39708,plain,
% 9.99/7.52 (v155(constB183) <=> (~((~v130(constB183)) | (~v139(constB183))))),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39707, 447])).
% 9.99/7.52 tff(39709,plain,
% 9.99/7.52 ((~![VarCurr: $i] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB183)) <=> v140(constB183))),
% 9.99/7.52 inference(quant_inst,[status(thm)],[])).
% 9.99/7.52 tff(39710,plain,
% 9.99/7.52 ((~v139(constB183)) <=> v140(constB183)),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39709, 203])).
% 9.99/7.52 tff(39711,plain,
% 9.99/7.52 ((~![VarCurr: $i] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB183) <=> (v141(constB183) | v26(constB183)))),
% 9.99/7.52 inference(quant_inst,[status(thm)],[])).
% 9.99/7.52 tff(39712,plain,
% 9.99/7.52 (v140(constB183) <=> (v141(constB183) | v26(constB183))),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39711, 212])).
% 9.99/7.52 tff(39713,plain,
% 9.99/7.52 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB183) <=> (~((~v39(constB183)) | (~v9(constB183)))))),
% 9.99/7.52 inference(quant_inst,[status(thm)],[])).
% 9.99/7.52 tff(39714,plain,
% 9.99/7.52 (v141(constB183) <=> (~((~v39(constB183)) | (~v9(constB183))))),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39713, 130])).
% 9.99/7.52 tff(39715,plain,
% 9.99/7.52 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB183, constB184)) | (v13(constB184) <=> v9(constB183)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB183, constB184)) | (v13(constB184) <=> v9(constB183)))),
% 9.99/7.52 inference(rewrite,[status(thm)],[])).
% 9.99/7.52 tff(39716,plain,
% 9.99/7.52 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB183, constB184)) | (v13(constB184) <=> v9(constB183)))),
% 9.99/7.52 inference(quant_inst,[status(thm)],[])).
% 9.99/7.52 tff(39717,plain,
% 9.99/7.52 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB183, constB184)) | (v13(constB184) <=> v9(constB183))),
% 9.99/7.52 inference(modus_ponens,[status(thm)],[39716, 39715])).
% 9.99/7.52 tff(39718,plain,
% 9.99/7.52 (v13(constB184) <=> v9(constB183)),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39717, 1336, 226])).
% 9.99/7.52 tff(39719,plain,
% 9.99/7.52 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB184) <=> v13(constB184))),
% 9.99/7.52 inference(quant_inst,[status(thm)],[])).
% 9.99/7.52 tff(39720,plain,
% 9.99/7.52 (v6(constB184) <=> v13(constB184)),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39719, 240])).
% 9.99/7.52 tff(39721,plain,
% 9.99/7.52 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB184)) <=> v6(constB184))),
% 9.99/7.52 inference(quant_inst,[status(thm)],[])).
% 9.99/7.52 tff(39722,plain,
% 9.99/7.52 ((~v21(constB184)) <=> v6(constB184)),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39721, 249])).
% 9.99/7.52 tff(39723,plain,
% 9.99/7.52 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB184) <=> (v20(constB184) | v21(constB184)))),
% 9.99/7.52 inference(quant_inst,[status(thm)],[])).
% 9.99/7.52 tff(39724,plain,
% 9.99/7.52 (v19(constB184) <=> (v20(constB184) | v21(constB184))),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39723, 258])).
% 9.99/7.52 tff(39725,plain,
% 9.99/7.52 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB184) <=> (~((~v19(constB184)) | (~v22(constB184)))))),
% 9.99/7.52 inference(quant_inst,[status(thm)],[])).
% 9.99/7.52 tff(39726,plain,
% 9.99/7.52 (v18(constB184) <=> (~((~v19(constB184)) | (~v22(constB184))))),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39725, 270])).
% 9.99/7.52 tff(39727,plain,
% 9.99/7.52 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB184)) <=> v18(constB184))),
% 9.99/7.52 inference(quant_inst,[status(thm)],[])).
% 9.99/7.52 tff(39728,plain,
% 9.99/7.52 ((~v4(constB184)) <=> v18(constB184)),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39727, 279])).
% 9.99/7.52 tff(39729,plain,
% 9.99/7.52 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB184)),
% 9.99/7.52 inference(quant_inst,[status(thm)],[])).
% 9.99/7.52 tff(39730,plain,
% 9.99/7.52 (v4(constB184)),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39729, 288])).
% 9.99/7.52 tff(39731,plain,
% 9.99/7.52 ((~((~v4(constB184)) <=> v18(constB184))) | (~v4(constB184)) | (~v18(constB184))),
% 9.99/7.52 inference(tautology,[status(thm)],[])).
% 9.99/7.52 tff(39732,plain,
% 9.99/7.52 (~v18(constB184)),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39731, 39730, 39728])).
% 9.99/7.52 tff(39733,plain,
% 9.99/7.52 ((~(v18(constB184) <=> (~((~v19(constB184)) | (~v22(constB184)))))) | v18(constB184) | ((~v19(constB184)) | (~v22(constB184)))),
% 9.99/7.52 inference(tautology,[status(thm)],[])).
% 9.99/7.52 tff(39734,plain,
% 9.99/7.52 ((~v19(constB184)) | (~v22(constB184))),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39733, 39732, 39726])).
% 9.99/7.52 tff(39735,plain,
% 9.99/7.52 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB184) <=> (v1(constB184) | v6(constB184)))),
% 9.99/7.52 inference(quant_inst,[status(thm)],[])).
% 9.99/7.52 tff(39736,plain,
% 9.99/7.52 (v22(constB184) <=> (v1(constB184) | v6(constB184))),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39735, 301])).
% 9.99/7.52 tff(39737,plain,
% 9.99/7.52 ((v1(constB184) | v6(constB184)) | (~v1(constB184))),
% 9.99/7.52 inference(tautology,[status(thm)],[])).
% 9.99/7.52 tff(39738,plain,
% 9.99/7.52 (v1(constB184) | v6(constB184)),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39737, 1366])).
% 9.99/7.52 tff(39739,plain,
% 9.99/7.52 ((~(v22(constB184) <=> (v1(constB184) | v6(constB184)))) | v22(constB184) | (~(v1(constB184) | v6(constB184)))),
% 9.99/7.52 inference(tautology,[status(thm)],[])).
% 9.99/7.52 tff(39740,plain,
% 9.99/7.52 ((~(v22(constB184) <=> (v1(constB184) | v6(constB184)))) | v22(constB184)),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39739, 39738])).
% 9.99/7.52 tff(39741,plain,
% 9.99/7.52 (v22(constB184)),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39740, 39736])).
% 9.99/7.52 tff(39742,plain,
% 9.99/7.52 ((~((~v19(constB184)) | (~v22(constB184)))) | (~v19(constB184)) | (~v22(constB184))),
% 9.99/7.52 inference(tautology,[status(thm)],[])).
% 9.99/7.52 tff(39743,plain,
% 9.99/7.52 ((~((~v19(constB184)) | (~v22(constB184)))) | (~v19(constB184))),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39742, 39741])).
% 9.99/7.52 tff(39744,plain,
% 9.99/7.52 (~v19(constB184)),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39743, 39734])).
% 9.99/7.52 tff(39745,plain,
% 9.99/7.52 ((~(v19(constB184) <=> (v20(constB184) | v21(constB184)))) | v19(constB184) | (~(v20(constB184) | v21(constB184)))),
% 9.99/7.52 inference(tautology,[status(thm)],[])).
% 9.99/7.52 tff(39746,plain,
% 9.99/7.52 (~(v20(constB184) | v21(constB184))),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39745, 39744, 39724])).
% 9.99/7.52 tff(39747,plain,
% 9.99/7.52 ((v20(constB184) | v21(constB184)) | (~v21(constB184))),
% 9.99/7.52 inference(tautology,[status(thm)],[])).
% 9.99/7.52 tff(39748,plain,
% 9.99/7.52 (~v21(constB184)),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39747, 39746])).
% 9.99/7.52 tff(39749,plain,
% 9.99/7.52 ((~((~v21(constB184)) <=> v6(constB184))) | v21(constB184) | v6(constB184)),
% 9.99/7.52 inference(tautology,[status(thm)],[])).
% 9.99/7.52 tff(39750,plain,
% 9.99/7.52 (v6(constB184)),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39749, 39748, 39722])).
% 9.99/7.52 tff(39751,plain,
% 9.99/7.52 ((~(v6(constB184) <=> v13(constB184))) | (~v6(constB184)) | v13(constB184)),
% 9.99/7.52 inference(tautology,[status(thm)],[])).
% 9.99/7.52 tff(39752,plain,
% 9.99/7.52 (v13(constB184)),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39751, 39750, 39720])).
% 9.99/7.52 tff(39753,plain,
% 9.99/7.52 ((~(v13(constB184) <=> v9(constB183))) | (~v13(constB184)) | v9(constB183)),
% 9.99/7.52 inference(tautology,[status(thm)],[])).
% 9.99/7.52 tff(39754,plain,
% 9.99/7.52 (v9(constB183)),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39753, 39752, 39718])).
% 9.99/7.52 tff(39755,plain,
% 9.99/7.52 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB183)) <=> v1(constB183))),
% 9.99/7.52 inference(quant_inst,[status(thm)],[])).
% 9.99/7.52 tff(39756,plain,
% 9.99/7.52 ((~v39(constB183)) <=> v1(constB183)),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39755, 139])).
% 9.99/7.52 tff(39757,plain,
% 9.99/7.52 ((~((~v39(constB183)) <=> v1(constB183))) | v39(constB183) | v1(constB183)),
% 9.99/7.52 inference(tautology,[status(thm)],[])).
% 9.99/7.52 tff(39758,plain,
% 9.99/7.52 ((~((~v39(constB183)) <=> v1(constB183))) | v39(constB183)),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39757, 1358])).
% 9.99/7.52 tff(39759,plain,
% 9.99/7.52 (v39(constB183)),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39758, 39756])).
% 9.99/7.52 tff(39760,plain,
% 9.99/7.52 ((~((~v39(constB183)) | (~v9(constB183)))) | (~v39(constB183)) | (~v9(constB183))),
% 9.99/7.52 inference(tautology,[status(thm)],[])).
% 9.99/7.52 tff(39761,plain,
% 9.99/7.52 ((~((~v39(constB183)) | (~v9(constB183)))) | (~v9(constB183))),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39760, 39759])).
% 9.99/7.52 tff(39762,plain,
% 9.99/7.52 (~((~v39(constB183)) | (~v9(constB183)))),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39761, 39754])).
% 9.99/7.52 tff(39763,plain,
% 9.99/7.52 ((~(v141(constB183) <=> (~((~v39(constB183)) | (~v9(constB183)))))) | v141(constB183) | ((~v39(constB183)) | (~v9(constB183)))),
% 9.99/7.52 inference(tautology,[status(thm)],[])).
% 9.99/7.52 tff(39764,plain,
% 9.99/7.52 (v141(constB183)),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39763, 39762, 39714])).
% 9.99/7.52 tff(39765,plain,
% 9.99/7.52 ((v141(constB183) | v26(constB183)) | (~v141(constB183))),
% 9.99/7.52 inference(tautology,[status(thm)],[])).
% 9.99/7.52 tff(39766,plain,
% 9.99/7.52 (v141(constB183) | v26(constB183)),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39765, 39764])).
% 9.99/7.52 tff(39767,plain,
% 9.99/7.52 ((~(v140(constB183) <=> (v141(constB183) | v26(constB183)))) | v140(constB183) | (~(v141(constB183) | v26(constB183)))),
% 9.99/7.52 inference(tautology,[status(thm)],[])).
% 9.99/7.52 tff(39768,plain,
% 9.99/7.52 (v140(constB183)),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39767, 39766, 39712])).
% 9.99/7.52 tff(39769,plain,
% 9.99/7.52 ((~((~v139(constB183)) <=> v140(constB183))) | (~v139(constB183)) | (~v140(constB183))),
% 9.99/7.52 inference(tautology,[status(thm)],[])).
% 9.99/7.52 tff(39770,plain,
% 9.99/7.52 (~v139(constB183)),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39769, 39768, 39710])).
% 9.99/7.52 tff(39771,plain,
% 9.99/7.52 (((~v130(constB183)) | (~v139(constB183))) | v139(constB183)),
% 9.99/7.52 inference(tautology,[status(thm)],[])).
% 9.99/7.52 tff(39772,plain,
% 9.99/7.52 ((~v130(constB183)) | (~v139(constB183))),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39771, 39770])).
% 9.99/7.52 tff(39773,plain,
% 9.99/7.52 ((~(v155(constB183) <=> (~((~v130(constB183)) | (~v139(constB183)))))) | (~v155(constB183)) | (~((~v130(constB183)) | (~v139(constB183))))),
% 9.99/7.52 inference(tautology,[status(thm)],[])).
% 9.99/7.52 tff(39774,plain,
% 9.99/7.52 (~v155(constB183)),
% 9.99/7.52 inference(unit_resolution,[status(thm)],[39773, 39772, 39708])).
% 9.99/7.52 tff(39775,plain,
% 9.99/7.52 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB183) <=> (~((~v132(constB183)) | (~v154(constB183)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB183) <=> (~((~v132(constB183)) | (~v154(constB183))))))),
% 9.99/7.53 inference(rewrite,[status(thm)],[])).
% 9.99/7.53 tff(39776,plain,
% 9.99/7.53 ((v153(constB183) <=> (~((~v154(constB183)) | (~v132(constB183))))) <=> (v153(constB183) <=> (~((~v132(constB183)) | (~v154(constB183)))))),
% 9.99/7.53 inference(rewrite,[status(thm)],[])).
% 9.99/7.53 tff(39777,plain,
% 9.99/7.53 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB183) <=> (~((~v154(constB183)) | (~v132(constB183)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB183) <=> (~((~v132(constB183)) | (~v154(constB183))))))),
% 9.99/7.53 inference(monotonicity,[status(thm)],[39776])).
% 9.99/7.53 tff(39778,plain,
% 9.99/7.53 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB183) <=> (~((~v154(constB183)) | (~v132(constB183)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB183) <=> (~((~v132(constB183)) | (~v154(constB183))))))),
% 9.99/7.53 inference(transitivity,[status(thm)],[39777, 39775])).
% 9.99/7.53 tff(39779,plain,
% 9.99/7.53 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB183) <=> (~((~v154(constB183)) | (~v132(constB183)))))),
% 9.99/7.53 inference(quant_inst,[status(thm)],[])).
% 9.99/7.53 tff(39780,plain,
% 9.99/7.53 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB183) <=> (~((~v132(constB183)) | (~v154(constB183)))))),
% 9.99/7.53 inference(modus_ponens,[status(thm)],[39779, 39778])).
% 9.99/7.53 tff(39781,plain,
% 9.99/7.53 (v153(constB183) <=> (~((~v132(constB183)) | (~v154(constB183))))),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39780, 399])).
% 9.99/7.53 tff(39782,plain,
% 9.99/7.53 ((~![VarNext: $i] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB183) <=> v137(constB183))),
% 9.99/7.53 inference(quant_inst,[status(thm)],[])).
% 9.99/7.53 tff(39783,plain,
% 9.99/7.53 (v132(constB183) <=> v137(constB183)),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39782, 558])).
% 9.99/7.53 tff(39784,plain,
% 9.99/7.53 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB182, constB183)) | (v137(constB183) <=> v135(constB182)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB182, constB183)) | (v137(constB183) <=> v135(constB182)))),
% 9.99/7.53 inference(rewrite,[status(thm)],[])).
% 9.99/7.53 tff(39785,plain,
% 9.99/7.53 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB182, constB183)) | (v137(constB183) <=> v135(constB182)))),
% 9.99/7.53 inference(quant_inst,[status(thm)],[])).
% 9.99/7.53 tff(39786,plain,
% 9.99/7.53 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB182, constB183)) | (v137(constB183) <=> v135(constB182))),
% 9.99/7.53 inference(modus_ponens,[status(thm)],[39785, 39784])).
% 9.99/7.53 tff(39787,plain,
% 9.99/7.53 (v137(constB183) <=> v135(constB182)),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39786, 1421, 570])).
% 9.99/7.53 tff(39788,plain,
% 9.99/7.53 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB182) <=> (v138(constB182) | v142(constB182)))),
% 9.99/7.53 inference(quant_inst,[status(thm)],[])).
% 9.99/7.53 tff(39789,plain,
% 9.99/7.53 (v135(constB182) <=> (v138(constB182) | v142(constB182))),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39788, 584])).
% 9.99/7.53 tff(39790,plain,
% 9.99/7.53 ((~![VarCurr: $i] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB182) <=> (~((~v143(constB182)) | (~v144(constB182)))))),
% 9.99/7.53 inference(quant_inst,[status(thm)],[])).
% 9.99/7.53 tff(39791,plain,
% 9.99/7.53 (v142(constB182) <=> (~((~v143(constB182)) | (~v144(constB182))))),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39790, 596])).
% 9.99/7.53 tff(39792,plain,
% 9.99/7.53 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB182) <=> (~((~v141(constB182)) | (~v145(constB182)))))),
% 9.99/7.53 inference(quant_inst,[status(thm)],[])).
% 9.99/7.53 tff(39793,plain,
% 9.99/7.53 (v144(constB182) <=> (~((~v141(constB182)) | (~v145(constB182))))),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39792, 608])).
% 9.99/7.53 tff(39794,plain,
% 9.99/7.53 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB182) <=> (~((~v39(constB182)) | (~v9(constB182)))))),
% 9.99/7.53 inference(quant_inst,[status(thm)],[])).
% 9.99/7.53 tff(39795,plain,
% 9.99/7.53 (v141(constB182) <=> (~((~v39(constB182)) | (~v9(constB182))))),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39794, 130])).
% 9.99/7.53 tff(39796,plain,
% 9.99/7.53 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB182)) <=> v1(constB182))),
% 9.99/7.53 inference(quant_inst,[status(thm)],[])).
% 9.99/7.53 tff(39797,plain,
% 9.99/7.53 ((~v39(constB182)) <=> v1(constB182)),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39796, 139])).
% 9.99/7.53 tff(39798,plain,
% 9.99/7.53 ((~((~v39(constB182)) <=> v1(constB182))) | (~v39(constB182)) | (~v1(constB182))),
% 9.99/7.53 inference(tautology,[status(thm)],[])).
% 9.99/7.53 tff(39799,plain,
% 9.99/7.53 ((~((~v39(constB182)) <=> v1(constB182))) | (~v39(constB182))),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39798, 1483])).
% 9.99/7.53 tff(39800,plain,
% 9.99/7.53 (~v39(constB182)),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39799, 39797])).
% 9.99/7.53 tff(39801,plain,
% 9.99/7.53 (((~v39(constB182)) | (~v9(constB182))) | v39(constB182)),
% 9.99/7.53 inference(tautology,[status(thm)],[])).
% 9.99/7.53 tff(39802,plain,
% 9.99/7.53 ((~v39(constB182)) | (~v9(constB182))),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39801, 39800])).
% 9.99/7.53 tff(39803,plain,
% 9.99/7.53 ((~(v141(constB182) <=> (~((~v39(constB182)) | (~v9(constB182)))))) | (~v141(constB182)) | (~((~v39(constB182)) | (~v9(constB182))))),
% 9.99/7.53 inference(tautology,[status(thm)],[])).
% 9.99/7.53 tff(39804,plain,
% 9.99/7.53 ((~(v141(constB182) <=> (~((~v39(constB182)) | (~v9(constB182)))))) | (~v141(constB182))),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39803, 39802])).
% 9.99/7.53 tff(39805,plain,
% 9.99/7.53 (~v141(constB182)),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39804, 39795])).
% 9.99/7.53 tff(39806,plain,
% 9.99/7.53 (((~v141(constB182)) | (~v145(constB182))) | v141(constB182)),
% 9.99/7.53 inference(tautology,[status(thm)],[])).
% 9.99/7.53 tff(39807,plain,
% 9.99/7.53 ((~v141(constB182)) | (~v145(constB182))),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39806, 39805])).
% 9.99/7.53 tff(39808,plain,
% 9.99/7.53 ((~(v144(constB182) <=> (~((~v141(constB182)) | (~v145(constB182)))))) | (~v144(constB182)) | (~((~v141(constB182)) | (~v145(constB182))))),
% 9.99/7.53 inference(tautology,[status(thm)],[])).
% 9.99/7.53 tff(39809,plain,
% 9.99/7.53 ((~(v144(constB182) <=> (~((~v141(constB182)) | (~v145(constB182)))))) | (~v144(constB182))),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39808, 39807])).
% 9.99/7.53 tff(39810,plain,
% 9.99/7.53 (~v144(constB182)),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39809, 39793])).
% 9.99/7.53 tff(39811,plain,
% 9.99/7.53 (((~v143(constB182)) | (~v144(constB182))) | v144(constB182)),
% 9.99/7.53 inference(tautology,[status(thm)],[])).
% 9.99/7.53 tff(39812,plain,
% 9.99/7.53 ((~v143(constB182)) | (~v144(constB182))),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39811, 39810])).
% 9.99/7.53 tff(39813,plain,
% 9.99/7.53 ((~(v142(constB182) <=> (~((~v143(constB182)) | (~v144(constB182)))))) | (~v142(constB182)) | (~((~v143(constB182)) | (~v144(constB182))))),
% 9.99/7.53 inference(tautology,[status(thm)],[])).
% 9.99/7.53 tff(39814,plain,
% 9.99/7.53 (~v142(constB182)),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39813, 39812, 39791])).
% 9.99/7.53 tff(39815,plain,
% 9.99/7.53 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB182) <=> (~((~v132(constB182)) | (~v139(constB182)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB182) <=> (~((~v132(constB182)) | (~v139(constB182))))))),
% 9.99/7.53 inference(rewrite,[status(thm)],[])).
% 9.99/7.53 tff(39816,plain,
% 9.99/7.53 ((v138(constB182) <=> (~((~v139(constB182)) | (~v132(constB182))))) <=> (v138(constB182) <=> (~((~v132(constB182)) | (~v139(constB182)))))),
% 9.99/7.53 inference(rewrite,[status(thm)],[])).
% 9.99/7.53 tff(39817,plain,
% 9.99/7.53 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB182) <=> (~((~v139(constB182)) | (~v132(constB182)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB182) <=> (~((~v132(constB182)) | (~v139(constB182))))))),
% 9.99/7.53 inference(monotonicity,[status(thm)],[39816])).
% 9.99/7.53 tff(39818,plain,
% 9.99/7.53 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB182) <=> (~((~v139(constB182)) | (~v132(constB182)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB182) <=> (~((~v132(constB182)) | (~v139(constB182))))))),
% 9.99/7.53 inference(transitivity,[status(thm)],[39817, 39815])).
% 9.99/7.53 tff(39819,plain,
% 9.99/7.53 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB182) <=> (~((~v139(constB182)) | (~v132(constB182)))))),
% 9.99/7.53 inference(quant_inst,[status(thm)],[])).
% 9.99/7.53 tff(39820,plain,
% 9.99/7.53 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB182) <=> (~((~v132(constB182)) | (~v139(constB182)))))),
% 9.99/7.53 inference(modus_ponens,[status(thm)],[39819, 39818])).
% 9.99/7.53 tff(39821,plain,
% 9.99/7.53 (v138(constB182) <=> (~((~v132(constB182)) | (~v139(constB182))))),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39820, 644])).
% 9.99/7.53 tff(39822,plain,
% 9.99/7.53 ((~![VarNext: $i] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB182) <=> v137(constB182))),
% 9.99/7.53 inference(quant_inst,[status(thm)],[])).
% 9.99/7.53 tff(39823,plain,
% 9.99/7.53 (v132(constB182) <=> v137(constB182)),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39822, 558])).
% 9.99/7.53 tff(39824,plain,
% 9.99/7.53 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB181, constB182)) | (v137(constB182) <=> v135(constB181)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB181, constB182)) | (v137(constB182) <=> v135(constB181)))),
% 9.99/7.53 inference(rewrite,[status(thm)],[])).
% 9.99/7.53 tff(39825,plain,
% 9.99/7.53 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB181, constB182)) | (v137(constB182) <=> v135(constB181)))),
% 9.99/7.53 inference(quant_inst,[status(thm)],[])).
% 9.99/7.53 tff(39826,plain,
% 9.99/7.53 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB181, constB182)) | (v137(constB182) <=> v135(constB181))),
% 9.99/7.53 inference(modus_ponens,[status(thm)],[39825, 39824])).
% 9.99/7.53 tff(39827,plain,
% 9.99/7.53 (v137(constB182) <=> v135(constB181)),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39826, 1453, 570])).
% 9.99/7.53 tff(39828,plain,
% 9.99/7.53 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB181) <=> (v138(constB181) | v142(constB181)))),
% 9.99/7.53 inference(quant_inst,[status(thm)],[])).
% 9.99/7.53 tff(39829,plain,
% 9.99/7.53 (v135(constB181) <=> (v138(constB181) | v142(constB181))),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39828, 584])).
% 9.99/7.53 tff(39830,plain,
% 9.99/7.53 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB181) <=> (~((~v132(constB181)) | (~v139(constB181)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB181) <=> (~((~v132(constB181)) | (~v139(constB181))))))),
% 9.99/7.53 inference(rewrite,[status(thm)],[])).
% 9.99/7.53 tff(39831,plain,
% 9.99/7.53 ((v138(constB181) <=> (~((~v139(constB181)) | (~v132(constB181))))) <=> (v138(constB181) <=> (~((~v132(constB181)) | (~v139(constB181)))))),
% 9.99/7.53 inference(rewrite,[status(thm)],[])).
% 9.99/7.53 tff(39832,plain,
% 9.99/7.53 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB181) <=> (~((~v139(constB181)) | (~v132(constB181)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB181) <=> (~((~v132(constB181)) | (~v139(constB181))))))),
% 9.99/7.53 inference(monotonicity,[status(thm)],[39831])).
% 9.99/7.53 tff(39833,plain,
% 9.99/7.53 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB181) <=> (~((~v139(constB181)) | (~v132(constB181)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB181) <=> (~((~v132(constB181)) | (~v139(constB181))))))),
% 9.99/7.53 inference(transitivity,[status(thm)],[39832, 39830])).
% 9.99/7.53 tff(39834,plain,
% 9.99/7.53 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB181) <=> (~((~v139(constB181)) | (~v132(constB181)))))),
% 9.99/7.53 inference(quant_inst,[status(thm)],[])).
% 9.99/7.53 tff(39835,plain,
% 9.99/7.53 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB181) <=> (~((~v132(constB181)) | (~v139(constB181)))))),
% 9.99/7.53 inference(modus_ponens,[status(thm)],[39834, 39833])).
% 9.99/7.53 tff(39836,plain,
% 9.99/7.53 (v138(constB181) <=> (~((~v132(constB181)) | (~v139(constB181))))),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39835, 644])).
% 9.99/7.53 tff(39837,plain,
% 9.99/7.53 ((~![VarCurr: $i] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB181)) <=> v140(constB181))),
% 9.99/7.53 inference(quant_inst,[status(thm)],[])).
% 9.99/7.53 tff(39838,plain,
% 9.99/7.53 ((~v139(constB181)) <=> v140(constB181)),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39837, 203])).
% 9.99/7.53 tff(39839,plain,
% 9.99/7.53 ((~![VarCurr: $i] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB181) <=> (v141(constB181) | v26(constB181)))),
% 9.99/7.53 inference(quant_inst,[status(thm)],[])).
% 9.99/7.53 tff(39840,plain,
% 9.99/7.53 (v140(constB181) <=> (v141(constB181) | v26(constB181))),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39839, 212])).
% 9.99/7.53 tff(39841,plain,
% 9.99/7.53 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB181) <=> (~((~v39(constB181)) | (~v9(constB181)))))),
% 9.99/7.53 inference(quant_inst,[status(thm)],[])).
% 9.99/7.53 tff(39842,plain,
% 9.99/7.53 (v141(constB181) <=> (~((~v39(constB181)) | (~v9(constB181))))),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39841, 130])).
% 9.99/7.53 tff(39843,plain,
% 9.99/7.53 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB181, constB182)) | (v13(constB182) <=> v9(constB181)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB181, constB182)) | (v13(constB182) <=> v9(constB181)))),
% 9.99/7.53 inference(rewrite,[status(thm)],[])).
% 9.99/7.53 tff(39844,plain,
% 9.99/7.53 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB181, constB182)) | (v13(constB182) <=> v9(constB181)))),
% 9.99/7.53 inference(quant_inst,[status(thm)],[])).
% 9.99/7.53 tff(39845,plain,
% 9.99/7.53 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB181, constB182)) | (v13(constB182) <=> v9(constB181))),
% 9.99/7.53 inference(modus_ponens,[status(thm)],[39844, 39843])).
% 9.99/7.53 tff(39846,plain,
% 9.99/7.53 (v13(constB182) <=> v9(constB181)),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39845, 1453, 226])).
% 9.99/7.53 tff(39847,plain,
% 9.99/7.53 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB182) <=> v13(constB182))),
% 9.99/7.53 inference(quant_inst,[status(thm)],[])).
% 9.99/7.53 tff(39848,plain,
% 9.99/7.53 (v6(constB182) <=> v13(constB182)),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39847, 240])).
% 9.99/7.53 tff(39849,plain,
% 9.99/7.53 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB182)) <=> v6(constB182))),
% 9.99/7.53 inference(quant_inst,[status(thm)],[])).
% 9.99/7.53 tff(39850,plain,
% 9.99/7.53 ((~v21(constB182)) <=> v6(constB182)),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39849, 249])).
% 9.99/7.53 tff(39851,plain,
% 9.99/7.53 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB182) <=> (v20(constB182) | v21(constB182)))),
% 9.99/7.53 inference(quant_inst,[status(thm)],[])).
% 9.99/7.53 tff(39852,plain,
% 9.99/7.53 (v19(constB182) <=> (v20(constB182) | v21(constB182))),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39851, 258])).
% 9.99/7.53 tff(39853,plain,
% 9.99/7.53 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB182) <=> (~((~v19(constB182)) | (~v22(constB182)))))),
% 9.99/7.53 inference(quant_inst,[status(thm)],[])).
% 9.99/7.53 tff(39854,plain,
% 9.99/7.53 (v18(constB182) <=> (~((~v19(constB182)) | (~v22(constB182))))),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39853, 270])).
% 9.99/7.53 tff(39855,plain,
% 9.99/7.53 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB182)) <=> v18(constB182))),
% 9.99/7.53 inference(quant_inst,[status(thm)],[])).
% 9.99/7.53 tff(39856,plain,
% 9.99/7.53 ((~v4(constB182)) <=> v18(constB182)),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39855, 279])).
% 9.99/7.53 tff(39857,plain,
% 9.99/7.53 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB182)),
% 9.99/7.53 inference(quant_inst,[status(thm)],[])).
% 9.99/7.53 tff(39858,plain,
% 9.99/7.53 (v4(constB182)),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39857, 288])).
% 9.99/7.53 tff(39859,plain,
% 9.99/7.53 ((~((~v4(constB182)) <=> v18(constB182))) | (~v4(constB182)) | (~v18(constB182))),
% 9.99/7.53 inference(tautology,[status(thm)],[])).
% 9.99/7.53 tff(39860,plain,
% 9.99/7.53 (~v18(constB182)),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39859, 39858, 39856])).
% 9.99/7.53 tff(39861,plain,
% 9.99/7.53 ((~(v18(constB182) <=> (~((~v19(constB182)) | (~v22(constB182)))))) | v18(constB182) | ((~v19(constB182)) | (~v22(constB182)))),
% 9.99/7.53 inference(tautology,[status(thm)],[])).
% 9.99/7.53 tff(39862,plain,
% 9.99/7.53 ((~v19(constB182)) | (~v22(constB182))),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39861, 39860, 39854])).
% 9.99/7.53 tff(39863,plain,
% 9.99/7.53 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB182) <=> (v1(constB182) | v6(constB182)))),
% 9.99/7.53 inference(quant_inst,[status(thm)],[])).
% 9.99/7.53 tff(39864,plain,
% 9.99/7.53 (v22(constB182) <=> (v1(constB182) | v6(constB182))),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39863, 301])).
% 9.99/7.53 tff(39865,plain,
% 9.99/7.53 ((v1(constB182) | v6(constB182)) | (~v1(constB182))),
% 9.99/7.53 inference(tautology,[status(thm)],[])).
% 9.99/7.53 tff(39866,plain,
% 9.99/7.53 (v1(constB182) | v6(constB182)),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39865, 1483])).
% 9.99/7.53 tff(39867,plain,
% 9.99/7.53 ((~(v22(constB182) <=> (v1(constB182) | v6(constB182)))) | v22(constB182) | (~(v1(constB182) | v6(constB182)))),
% 9.99/7.53 inference(tautology,[status(thm)],[])).
% 9.99/7.53 tff(39868,plain,
% 9.99/7.53 ((~(v22(constB182) <=> (v1(constB182) | v6(constB182)))) | v22(constB182)),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39867, 39866])).
% 9.99/7.53 tff(39869,plain,
% 9.99/7.53 (v22(constB182)),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39868, 39864])).
% 9.99/7.53 tff(39870,plain,
% 9.99/7.53 ((~((~v19(constB182)) | (~v22(constB182)))) | (~v19(constB182)) | (~v22(constB182))),
% 9.99/7.53 inference(tautology,[status(thm)],[])).
% 9.99/7.53 tff(39871,plain,
% 9.99/7.53 ((~((~v19(constB182)) | (~v22(constB182)))) | (~v19(constB182))),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39870, 39869])).
% 9.99/7.53 tff(39872,plain,
% 9.99/7.53 (~v19(constB182)),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39871, 39862])).
% 9.99/7.53 tff(39873,plain,
% 9.99/7.53 ((~(v19(constB182) <=> (v20(constB182) | v21(constB182)))) | v19(constB182) | (~(v20(constB182) | v21(constB182)))),
% 9.99/7.53 inference(tautology,[status(thm)],[])).
% 9.99/7.53 tff(39874,plain,
% 9.99/7.53 (~(v20(constB182) | v21(constB182))),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39873, 39872, 39852])).
% 9.99/7.53 tff(39875,plain,
% 9.99/7.53 ((v20(constB182) | v21(constB182)) | (~v21(constB182))),
% 9.99/7.53 inference(tautology,[status(thm)],[])).
% 9.99/7.53 tff(39876,plain,
% 9.99/7.53 (~v21(constB182)),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39875, 39874])).
% 9.99/7.53 tff(39877,plain,
% 9.99/7.53 ((~((~v21(constB182)) <=> v6(constB182))) | v21(constB182) | v6(constB182)),
% 9.99/7.53 inference(tautology,[status(thm)],[])).
% 9.99/7.53 tff(39878,plain,
% 9.99/7.53 (v6(constB182)),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39877, 39876, 39850])).
% 9.99/7.53 tff(39879,plain,
% 9.99/7.53 ((~(v6(constB182) <=> v13(constB182))) | (~v6(constB182)) | v13(constB182)),
% 9.99/7.53 inference(tautology,[status(thm)],[])).
% 9.99/7.53 tff(39880,plain,
% 9.99/7.53 (v13(constB182)),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39879, 39878, 39848])).
% 9.99/7.53 tff(39881,plain,
% 9.99/7.53 ((~(v13(constB182) <=> v9(constB181))) | (~v13(constB182)) | v9(constB181)),
% 9.99/7.53 inference(tautology,[status(thm)],[])).
% 9.99/7.53 tff(39882,plain,
% 9.99/7.53 (v9(constB181)),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39881, 39880, 39846])).
% 9.99/7.53 tff(39883,plain,
% 9.99/7.53 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB181)) <=> v1(constB181))),
% 9.99/7.53 inference(quant_inst,[status(thm)],[])).
% 9.99/7.53 tff(39884,plain,
% 9.99/7.53 ((~v39(constB181)) <=> v1(constB181)),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39883, 139])).
% 9.99/7.53 tff(39885,plain,
% 9.99/7.53 ((~((~v39(constB181)) <=> v1(constB181))) | v39(constB181) | v1(constB181)),
% 9.99/7.53 inference(tautology,[status(thm)],[])).
% 9.99/7.53 tff(39886,plain,
% 9.99/7.53 ((~((~v39(constB181)) <=> v1(constB181))) | v39(constB181)),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39885, 1475])).
% 9.99/7.53 tff(39887,plain,
% 9.99/7.53 (v39(constB181)),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39886, 39884])).
% 9.99/7.53 tff(39888,plain,
% 9.99/7.53 ((~((~v39(constB181)) | (~v9(constB181)))) | (~v39(constB181)) | (~v9(constB181))),
% 9.99/7.53 inference(tautology,[status(thm)],[])).
% 9.99/7.53 tff(39889,plain,
% 9.99/7.53 ((~((~v39(constB181)) | (~v9(constB181)))) | (~v9(constB181))),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39888, 39887])).
% 9.99/7.53 tff(39890,plain,
% 9.99/7.53 (~((~v39(constB181)) | (~v9(constB181)))),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39889, 39882])).
% 9.99/7.53 tff(39891,plain,
% 9.99/7.53 ((~(v141(constB181) <=> (~((~v39(constB181)) | (~v9(constB181)))))) | v141(constB181) | ((~v39(constB181)) | (~v9(constB181)))),
% 9.99/7.53 inference(tautology,[status(thm)],[])).
% 9.99/7.53 tff(39892,plain,
% 9.99/7.53 (v141(constB181)),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39891, 39890, 39842])).
% 9.99/7.53 tff(39893,plain,
% 9.99/7.53 ((v141(constB181) | v26(constB181)) | (~v141(constB181))),
% 9.99/7.53 inference(tautology,[status(thm)],[])).
% 9.99/7.53 tff(39894,plain,
% 9.99/7.53 (v141(constB181) | v26(constB181)),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39893, 39892])).
% 9.99/7.53 tff(39895,plain,
% 9.99/7.53 ((~(v140(constB181) <=> (v141(constB181) | v26(constB181)))) | v140(constB181) | (~(v141(constB181) | v26(constB181)))),
% 9.99/7.53 inference(tautology,[status(thm)],[])).
% 9.99/7.53 tff(39896,plain,
% 9.99/7.53 (v140(constB181)),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39895, 39894, 39840])).
% 9.99/7.53 tff(39897,plain,
% 9.99/7.53 ((~((~v139(constB181)) <=> v140(constB181))) | (~v139(constB181)) | (~v140(constB181))),
% 9.99/7.53 inference(tautology,[status(thm)],[])).
% 9.99/7.53 tff(39898,plain,
% 9.99/7.53 (~v139(constB181)),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39897, 39896, 39838])).
% 9.99/7.53 tff(39899,plain,
% 9.99/7.53 (((~v132(constB181)) | (~v139(constB181))) | v139(constB181)),
% 9.99/7.53 inference(tautology,[status(thm)],[])).
% 9.99/7.53 tff(39900,plain,
% 9.99/7.53 ((~v132(constB181)) | (~v139(constB181))),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39899, 39898])).
% 9.99/7.53 tff(39901,plain,
% 9.99/7.53 ((~(v138(constB181) <=> (~((~v132(constB181)) | (~v139(constB181)))))) | (~v138(constB181)) | (~((~v132(constB181)) | (~v139(constB181))))),
% 9.99/7.53 inference(tautology,[status(thm)],[])).
% 9.99/7.53 tff(39902,plain,
% 9.99/7.53 (~v138(constB181)),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39901, 39900, 39836])).
% 9.99/7.53 tff(39903,plain,
% 9.99/7.53 ((~![VarCurr: $i] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB181) <=> (~((~v143(constB181)) | (~v144(constB181)))))),
% 9.99/7.53 inference(quant_inst,[status(thm)],[])).
% 9.99/7.53 tff(39904,plain,
% 9.99/7.53 (v142(constB181) <=> (~((~v143(constB181)) | (~v144(constB181))))),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39903, 596])).
% 9.99/7.53 tff(39905,plain,
% 9.99/7.53 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB181) <=> (~((~v141(constB181)) | (~v145(constB181)))))),
% 9.99/7.53 inference(quant_inst,[status(thm)],[])).
% 9.99/7.53 tff(39906,plain,
% 9.99/7.53 (v144(constB181) <=> (~((~v141(constB181)) | (~v145(constB181))))),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39905, 608])).
% 9.99/7.53 tff(39907,plain,
% 9.99/7.53 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB181) <=> (~(v84(constB181, bitIndex2) | v84(constB181, bitIndex1) | (~v84(constB181, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB181) <=> (~(v84(constB181, bitIndex2) | v84(constB181, bitIndex1) | (~v84(constB181, bitIndex0))))))),
% 9.99/7.53 inference(rewrite,[status(thm)],[])).
% 9.99/7.53 tff(39908,plain,
% 9.99/7.53 ((v145(constB181) <=> (~(v84(constB181, bitIndex1) | v84(constB181, bitIndex2) | (~v84(constB181, bitIndex0))))) <=> (v145(constB181) <=> (~(v84(constB181, bitIndex2) | v84(constB181, bitIndex1) | (~v84(constB181, bitIndex0)))))),
% 9.99/7.53 inference(rewrite,[status(thm)],[])).
% 9.99/7.53 tff(39909,plain,
% 9.99/7.53 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB181) <=> (~(v84(constB181, bitIndex1) | v84(constB181, bitIndex2) | (~v84(constB181, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB181) <=> (~(v84(constB181, bitIndex2) | v84(constB181, bitIndex1) | (~v84(constB181, bitIndex0))))))),
% 9.99/7.53 inference(monotonicity,[status(thm)],[39908])).
% 9.99/7.53 tff(39910,plain,
% 9.99/7.53 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB181) <=> (~(v84(constB181, bitIndex1) | v84(constB181, bitIndex2) | (~v84(constB181, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB181) <=> (~(v84(constB181, bitIndex2) | v84(constB181, bitIndex1) | (~v84(constB181, bitIndex0))))))),
% 9.99/7.53 inference(transitivity,[status(thm)],[39909, 39907])).
% 9.99/7.53 tff(39911,plain,
% 9.99/7.53 ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB181) <=> (~(v84(constB181, bitIndex1) | v84(constB181, bitIndex2) | (~v84(constB181, bitIndex0)))))),
% 9.99/7.53 inference(quant_inst,[status(thm)],[])).
% 9.99/7.53 tff(39912,plain,
% 9.99/7.53 ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB181) <=> (~(v84(constB181, bitIndex2) | v84(constB181, bitIndex1) | (~v84(constB181, bitIndex0)))))),
% 9.99/7.53 inference(modus_ponens,[status(thm)],[39911, 39910])).
% 9.99/7.53 tff(39913,plain,
% 9.99/7.53 (v145(constB181) <=> (~(v84(constB181, bitIndex2) | v84(constB181, bitIndex1) | (~v84(constB181, bitIndex0))))),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39912, 755])).
% 9.99/7.53 tff(39914,plain,
% 9.99/7.53 ((~(v145(constB181) <=> (~(v84(constB181, bitIndex2) | v84(constB181, bitIndex1) | (~v84(constB181, bitIndex0)))))) | (~v145(constB181)) | (~(v84(constB181, bitIndex2) | v84(constB181, bitIndex1) | (~v84(constB181, bitIndex0))))),
% 9.99/7.53 inference(tautology,[status(thm)],[])).
% 9.99/7.53 tff(39915,plain,
% 9.99/7.53 (~v145(constB181)),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39914, 24660, 39913])).
% 9.99/7.53 tff(39916,plain,
% 9.99/7.53 (((~v141(constB181)) | (~v145(constB181))) | v145(constB181)),
% 9.99/7.53 inference(tautology,[status(thm)],[])).
% 9.99/7.53 tff(39917,plain,
% 9.99/7.53 ((~v141(constB181)) | (~v145(constB181))),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39916, 39915])).
% 9.99/7.53 tff(39918,plain,
% 9.99/7.53 ((~(v144(constB181) <=> (~((~v141(constB181)) | (~v145(constB181)))))) | (~v144(constB181)) | (~((~v141(constB181)) | (~v145(constB181))))),
% 9.99/7.53 inference(tautology,[status(thm)],[])).
% 9.99/7.53 tff(39919,plain,
% 9.99/7.53 (~v144(constB181)),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39918, 39917, 39906])).
% 9.99/7.53 tff(39920,plain,
% 9.99/7.53 (((~v143(constB181)) | (~v144(constB181))) | v144(constB181)),
% 9.99/7.53 inference(tautology,[status(thm)],[])).
% 9.99/7.53 tff(39921,plain,
% 9.99/7.53 ((~v143(constB181)) | (~v144(constB181))),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39920, 39919])).
% 9.99/7.53 tff(39922,plain,
% 9.99/7.53 ((~(v142(constB181) <=> (~((~v143(constB181)) | (~v144(constB181)))))) | (~v142(constB181)) | (~((~v143(constB181)) | (~v144(constB181))))),
% 9.99/7.53 inference(tautology,[status(thm)],[])).
% 9.99/7.53 tff(39923,plain,
% 9.99/7.53 (~v142(constB181)),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39922, 39921, 39904])).
% 9.99/7.53 tff(39924,plain,
% 9.99/7.53 ((~(v138(constB181) | v142(constB181))) | v138(constB181) | v142(constB181)),
% 9.99/7.53 inference(tautology,[status(thm)],[])).
% 9.99/7.53 tff(39925,plain,
% 9.99/7.53 (~(v138(constB181) | v142(constB181))),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39924, 39923, 39902])).
% 9.99/7.53 tff(39926,plain,
% 9.99/7.53 ((~(v135(constB181) <=> (v138(constB181) | v142(constB181)))) | (~v135(constB181)) | (v138(constB181) | v142(constB181))),
% 9.99/7.53 inference(tautology,[status(thm)],[])).
% 9.99/7.53 tff(39927,plain,
% 9.99/7.53 (~v135(constB181)),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39926, 39925, 39829])).
% 9.99/7.53 tff(39928,plain,
% 9.99/7.53 ((~(v137(constB182) <=> v135(constB181))) | (~v137(constB182)) | v135(constB181)),
% 9.99/7.53 inference(tautology,[status(thm)],[])).
% 9.99/7.53 tff(39929,plain,
% 9.99/7.53 (~v137(constB182)),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39928, 39927, 39827])).
% 9.99/7.53 tff(39930,plain,
% 9.99/7.53 ((~(v132(constB182) <=> v137(constB182))) | (~v132(constB182)) | v137(constB182)),
% 9.99/7.53 inference(tautology,[status(thm)],[])).
% 9.99/7.53 tff(39931,plain,
% 9.99/7.53 (~v132(constB182)),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39930, 39929, 39823])).
% 9.99/7.53 tff(39932,plain,
% 9.99/7.53 (((~v132(constB182)) | (~v139(constB182))) | v132(constB182)),
% 9.99/7.53 inference(tautology,[status(thm)],[])).
% 9.99/7.53 tff(39933,plain,
% 9.99/7.53 ((~v132(constB182)) | (~v139(constB182))),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39932, 39931])).
% 9.99/7.53 tff(39934,plain,
% 9.99/7.53 ((~(v138(constB182) <=> (~((~v132(constB182)) | (~v139(constB182)))))) | (~v138(constB182)) | (~((~v132(constB182)) | (~v139(constB182))))),
% 9.99/7.53 inference(tautology,[status(thm)],[])).
% 9.99/7.53 tff(39935,plain,
% 9.99/7.53 (~v138(constB182)),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39934, 39933, 39821])).
% 9.99/7.53 tff(39936,plain,
% 9.99/7.53 ((~(v138(constB182) | v142(constB182))) | v138(constB182) | v142(constB182)),
% 9.99/7.53 inference(tautology,[status(thm)],[])).
% 9.99/7.53 tff(39937,plain,
% 9.99/7.53 (~(v138(constB182) | v142(constB182))),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39936, 39935, 39814])).
% 9.99/7.53 tff(39938,plain,
% 9.99/7.53 ((~(v135(constB182) <=> (v138(constB182) | v142(constB182)))) | (~v135(constB182)) | (v138(constB182) | v142(constB182))),
% 9.99/7.53 inference(tautology,[status(thm)],[])).
% 9.99/7.53 tff(39939,plain,
% 9.99/7.53 (~v135(constB182)),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39938, 39937, 39789])).
% 9.99/7.53 tff(39940,plain,
% 9.99/7.53 ((~(v137(constB183) <=> v135(constB182))) | (~v137(constB183)) | v135(constB182)),
% 9.99/7.53 inference(tautology,[status(thm)],[])).
% 9.99/7.53 tff(39941,plain,
% 9.99/7.53 (~v137(constB183)),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39940, 39939, 39787])).
% 9.99/7.53 tff(39942,plain,
% 9.99/7.53 ((~(v132(constB183) <=> v137(constB183))) | (~v132(constB183)) | v137(constB183)),
% 9.99/7.53 inference(tautology,[status(thm)],[])).
% 9.99/7.53 tff(39943,plain,
% 9.99/7.53 (~v132(constB183)),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39942, 39941, 39783])).
% 9.99/7.53 tff(39944,plain,
% 9.99/7.53 (((~v132(constB183)) | (~v154(constB183))) | v132(constB183)),
% 9.99/7.53 inference(tautology,[status(thm)],[])).
% 9.99/7.53 tff(39945,plain,
% 9.99/7.53 ((~v132(constB183)) | (~v154(constB183))),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39944, 39943])).
% 9.99/7.53 tff(39946,plain,
% 9.99/7.53 ((~(v153(constB183) <=> (~((~v132(constB183)) | (~v154(constB183)))))) | (~v153(constB183)) | (~((~v132(constB183)) | (~v154(constB183))))),
% 9.99/7.53 inference(tautology,[status(thm)],[])).
% 9.99/7.53 tff(39947,plain,
% 9.99/7.53 (~v153(constB183)),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39946, 39945, 39781])).
% 9.99/7.53 tff(39948,plain,
% 9.99/7.53 ((~(v153(constB183) | v155(constB183))) | v153(constB183) | v155(constB183)),
% 9.99/7.53 inference(tautology,[status(thm)],[])).
% 9.99/7.53 tff(39949,plain,
% 9.99/7.53 (~(v153(constB183) | v155(constB183))),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39948, 39947, 39774])).
% 9.99/7.53 tff(39950,plain,
% 9.99/7.53 ((~(v150(constB183) <=> (v153(constB183) | v155(constB183)))) | (~v150(constB183)) | (v153(constB183) | v155(constB183))),
% 9.99/7.53 inference(tautology,[status(thm)],[])).
% 9.99/7.53 tff(39951,plain,
% 9.99/7.53 (~v150(constB183)),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39950, 39949, 39701])).
% 9.99/7.53 tff(39952,plain,
% 9.99/7.53 ((~(v152(constB184) <=> v150(constB183))) | (~v152(constB184)) | v150(constB183)),
% 9.99/7.53 inference(tautology,[status(thm)],[])).
% 9.99/7.53 tff(39953,plain,
% 9.99/7.53 (~v152(constB184)),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39952, 39951, 39699])).
% 9.99/7.53 tff(39954,plain,
% 9.99/7.53 ((~(v130(constB184) <=> v152(constB184))) | (~v130(constB184)) | v152(constB184)),
% 9.99/7.53 inference(tautology,[status(thm)],[])).
% 9.99/7.53 tff(39955,plain,
% 9.99/7.53 (~v130(constB184)),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39954, 39953, 39695])).
% 9.99/7.53 tff(39956,plain,
% 9.99/7.53 (((~v130(constB184)) | (~v139(constB184))) | v130(constB184)),
% 9.99/7.53 inference(tautology,[status(thm)],[])).
% 9.99/7.53 tff(39957,plain,
% 9.99/7.53 ((~v130(constB184)) | (~v139(constB184))),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39956, 39955])).
% 9.99/7.53 tff(39958,plain,
% 9.99/7.53 ((~(v155(constB184) <=> (~((~v130(constB184)) | (~v139(constB184)))))) | (~v155(constB184)) | (~((~v130(constB184)) | (~v139(constB184))))),
% 9.99/7.53 inference(tautology,[status(thm)],[])).
% 9.99/7.53 tff(39959,plain,
% 9.99/7.53 (~v155(constB184)),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39958, 39957, 39693])).
% 9.99/7.53 tff(39960,plain,
% 9.99/7.53 ((~(v153(constB184) | v155(constB184))) | v153(constB184) | v155(constB184)),
% 9.99/7.53 inference(tautology,[status(thm)],[])).
% 9.99/7.53 tff(39961,plain,
% 9.99/7.53 (~(v153(constB184) | v155(constB184))),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39960, 39959, 39686])).
% 9.99/7.53 tff(39962,plain,
% 9.99/7.53 ((~(v150(constB184) <=> (v153(constB184) | v155(constB184)))) | (~v150(constB184)) | (v153(constB184) | v155(constB184))),
% 9.99/7.53 inference(tautology,[status(thm)],[])).
% 9.99/7.53 tff(39963,plain,
% 9.99/7.53 (~v150(constB184)),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39962, 39961, 39651])).
% 9.99/7.53 tff(39964,plain,
% 9.99/7.53 ((~(v152(constB185) <=> v150(constB184))) | (~v152(constB185)) | v150(constB184)),
% 9.99/7.53 inference(tautology,[status(thm)],[])).
% 9.99/7.53 tff(39965,plain,
% 9.99/7.53 (~v152(constB185)),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39964, 39963, 39649])).
% 9.99/7.53 tff(39966,plain,
% 9.99/7.53 ((~(v130(constB185) <=> v152(constB185))) | (~v130(constB185)) | v152(constB185)),
% 9.99/7.53 inference(tautology,[status(thm)],[])).
% 9.99/7.53 tff(39967,plain,
% 9.99/7.53 (~v130(constB185)),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39966, 39965, 39645])).
% 9.99/7.53 tff(39968,plain,
% 9.99/7.53 (((~v130(constB185)) | (~v154(constB185))) | v130(constB185)),
% 9.99/7.53 inference(tautology,[status(thm)],[])).
% 9.99/7.53 tff(39969,plain,
% 9.99/7.53 ((~v130(constB185)) | (~v154(constB185))),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39968, 39967])).
% 9.99/7.53 tff(39970,plain,
% 9.99/7.53 ((~(v164(constB185) <=> (~((~v130(constB185)) | (~v154(constB185)))))) | (~v164(constB185)) | (~((~v130(constB185)) | (~v154(constB185))))),
% 9.99/7.53 inference(tautology,[status(thm)],[])).
% 9.99/7.53 tff(39971,plain,
% 9.99/7.53 (~v164(constB185)),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39970, 39969, 39643])).
% 9.99/7.53 tff(39972,plain,
% 9.99/7.53 ((~(v163(constB185) | v164(constB185))) | v163(constB185) | v164(constB185)),
% 9.99/7.53 inference(tautology,[status(thm)],[])).
% 9.99/7.53 tff(39973,plain,
% 9.99/7.53 (~(v163(constB185) | v164(constB185))),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39972, 39971, 39636])).
% 9.99/7.53 tff(39974,plain,
% 9.99/7.53 ((~(v160(constB185) <=> (v163(constB185) | v164(constB185)))) | (~v160(constB185)) | (v163(constB185) | v164(constB185))),
% 9.99/7.53 inference(tautology,[status(thm)],[])).
% 9.99/7.53 tff(39975,plain,
% 9.99/7.53 (~v160(constB185)),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39974, 39973, 39563])).
% 9.99/7.53 tff(39976,plain,
% 9.99/7.53 ((~(v162(constB186) <=> v160(constB185))) | (~v162(constB186)) | v160(constB185)),
% 9.99/7.53 inference(tautology,[status(thm)],[])).
% 9.99/7.53 tff(39977,plain,
% 9.99/7.53 (~v162(constB186)),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39976, 39975, 39561])).
% 9.99/7.53 tff(39978,plain,
% 9.99/7.53 ((~(v128(constB186) <=> v162(constB186))) | (~v128(constB186)) | v162(constB186)),
% 9.99/7.53 inference(tautology,[status(thm)],[])).
% 9.99/7.53 tff(39979,plain,
% 9.99/7.53 (~v128(constB186)),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39978, 39977, 39557])).
% 9.99/7.53 tff(39980,plain,
% 9.99/7.53 (((~v128(constB186)) | (~v139(constB186))) | v128(constB186)),
% 9.99/7.53 inference(tautology,[status(thm)],[])).
% 9.99/7.53 tff(39981,plain,
% 9.99/7.53 ((~v128(constB186)) | (~v139(constB186))),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39980, 39979])).
% 9.99/7.53 tff(39982,plain,
% 9.99/7.53 ((~(v163(constB186) <=> (~((~v128(constB186)) | (~v139(constB186)))))) | (~v163(constB186)) | (~((~v128(constB186)) | (~v139(constB186))))),
% 9.99/7.53 inference(tautology,[status(thm)],[])).
% 9.99/7.53 tff(39983,plain,
% 9.99/7.53 (~v163(constB186)),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39982, 39981, 39555])).
% 9.99/7.53 tff(39984,plain,
% 9.99/7.53 ((~(v163(constB186) | v164(constB186))) | v163(constB186) | v164(constB186)),
% 9.99/7.53 inference(tautology,[status(thm)],[])).
% 9.99/7.53 tff(39985,plain,
% 9.99/7.53 (~(v163(constB186) | v164(constB186))),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39984, 39983, 39548])).
% 9.99/7.53 tff(39986,plain,
% 9.99/7.53 ((~(v160(constB186) <=> (v163(constB186) | v164(constB186)))) | (~v160(constB186)) | (v163(constB186) | v164(constB186))),
% 9.99/7.53 inference(tautology,[status(thm)],[])).
% 9.99/7.53 tff(39987,plain,
% 9.99/7.53 (~v160(constB186)),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39986, 39985, 39513])).
% 9.99/7.53 tff(39988,plain,
% 9.99/7.53 ((~(v162(constB187) <=> v160(constB186))) | (~v162(constB187)) | v160(constB186)),
% 9.99/7.53 inference(tautology,[status(thm)],[])).
% 9.99/7.53 tff(39989,plain,
% 9.99/7.53 (~v162(constB187)),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39988, 39987, 39511])).
% 9.99/7.53 tff(39990,plain,
% 9.99/7.53 ($false),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39989, 39507])).
% 9.99/7.53 tff(39991,plain,(~(constB187 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.99/7.53 tff(39992,assumption,(constB7 = VarCurr!0), introduced(assumption)).
% 9.99/7.53 tff(39993,plain,
% 9.99/7.53 (v162(constB7) <=> v162(VarCurr!0)),
% 9.99/7.53 inference(monotonicity,[status(thm)],[39992])).
% 9.99/7.53 tff(39994,plain,
% 9.99/7.53 (v162(VarCurr!0) <=> v162(constB7)),
% 9.99/7.53 inference(symmetry,[status(thm)],[39993])).
% 9.99/7.53 tff(39995,plain,
% 9.99/7.53 (v162(constB7)),
% 9.99/7.53 inference(modus_ponens,[status(thm)],[59, 39994])).
% 9.99/7.53 tff(39996,plain,
% 9.99/7.53 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB6, constB7)) | (v162(constB7) <=> v160(constB6)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB6, constB7)) | (v162(constB7) <=> v160(constB6)))),
% 9.99/7.53 inference(rewrite,[status(thm)],[])).
% 9.99/7.53 tff(39997,plain,
% 9.99/7.53 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB6, constB7)) | (v162(constB7) <=> v160(constB6)))),
% 9.99/7.53 inference(quant_inst,[status(thm)],[])).
% 9.99/7.53 tff(39998,plain,
% 9.99/7.53 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB6, constB7)) | (v162(constB7) <=> v160(constB6))),
% 9.99/7.53 inference(modus_ponens,[status(thm)],[39997, 39996])).
% 9.99/7.53 tff(39999,plain,
% 9.99/7.53 (v162(constB7) <=> v160(constB6)),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[39998, 9447, 70])).
% 9.99/7.53 tff(40000,plain,
% 9.99/7.53 ((~![VarCurr: $i] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB6) <=> (v163(constB6) | v164(constB6)))),
% 9.99/7.53 inference(quant_inst,[status(thm)],[])).
% 9.99/7.53 tff(40001,plain,
% 9.99/7.53 (v160(constB6) <=> (v163(constB6) | v164(constB6))),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[40000, 84])).
% 9.99/7.53 tff(40002,plain,
% 9.99/7.53 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB6) <=> (~((~v130(constB6)) | (~v154(constB6)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB6) <=> (~((~v130(constB6)) | (~v154(constB6))))))),
% 9.99/7.53 inference(rewrite,[status(thm)],[])).
% 9.99/7.53 tff(40003,plain,
% 9.99/7.53 ((v164(constB6) <=> (~((~v154(constB6)) | (~v130(constB6))))) <=> (v164(constB6) <=> (~((~v130(constB6)) | (~v154(constB6)))))),
% 9.99/7.53 inference(rewrite,[status(thm)],[])).
% 9.99/7.53 tff(40004,plain,
% 9.99/7.53 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB6) <=> (~((~v154(constB6)) | (~v130(constB6)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB6) <=> (~((~v130(constB6)) | (~v154(constB6))))))),
% 9.99/7.53 inference(monotonicity,[status(thm)],[40003])).
% 9.99/7.53 tff(40005,plain,
% 9.99/7.53 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB6) <=> (~((~v154(constB6)) | (~v130(constB6)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB6) <=> (~((~v130(constB6)) | (~v154(constB6))))))),
% 9.99/7.53 inference(transitivity,[status(thm)],[40004, 40002])).
% 9.99/7.53 tff(40006,plain,
% 9.99/7.53 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB6) <=> (~((~v154(constB6)) | (~v130(constB6)))))),
% 9.99/7.53 inference(quant_inst,[status(thm)],[])).
% 9.99/7.53 tff(40007,plain,
% 9.99/7.53 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB6) <=> (~((~v130(constB6)) | (~v154(constB6)))))),
% 9.99/7.53 inference(modus_ponens,[status(thm)],[40006, 40005])).
% 9.99/7.53 tff(40008,plain,
% 9.99/7.53 (v164(constB6) <=> (~((~v130(constB6)) | (~v154(constB6))))),
% 9.99/7.53 inference(unit_resolution,[status(thm)],[40007, 96])).
% 9.99/7.53 tff(40009,plain,
% 9.99/7.53 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB6) <=> (~((~v141(constB6)) | (~v143(constB6)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB6) <=> (~((~v141(constB6)) | (~v143(constB6))))))),
% 9.99/7.54 inference(rewrite,[status(thm)],[])).
% 9.99/7.54 tff(40010,plain,
% 9.99/7.54 ((v154(constB6) <=> (~((~v143(constB6)) | (~v141(constB6))))) <=> (v154(constB6) <=> (~((~v141(constB6)) | (~v143(constB6)))))),
% 9.99/7.54 inference(rewrite,[status(thm)],[])).
% 9.99/7.54 tff(40011,plain,
% 9.99/7.54 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB6) <=> (~((~v143(constB6)) | (~v141(constB6)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB6) <=> (~((~v141(constB6)) | (~v143(constB6))))))),
% 9.99/7.54 inference(monotonicity,[status(thm)],[40010])).
% 9.99/7.54 tff(40012,plain,
% 9.99/7.54 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB6) <=> (~((~v143(constB6)) | (~v141(constB6)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB6) <=> (~((~v141(constB6)) | (~v143(constB6))))))),
% 9.99/7.54 inference(transitivity,[status(thm)],[40011, 40009])).
% 9.99/7.54 tff(40013,plain,
% 9.99/7.54 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB6) <=> (~((~v143(constB6)) | (~v141(constB6)))))),
% 9.99/7.54 inference(quant_inst,[status(thm)],[])).
% 9.99/7.54 tff(40014,plain,
% 9.99/7.54 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB6) <=> (~((~v141(constB6)) | (~v143(constB6)))))),
% 9.99/7.54 inference(modus_ponens,[status(thm)],[40013, 40012])).
% 9.99/7.54 tff(40015,plain,
% 9.99/7.54 (v154(constB6) <=> (~((~v141(constB6)) | (~v143(constB6))))),
% 9.99/7.54 inference(unit_resolution,[status(thm)],[40014, 113])).
% 9.99/7.54 tff(40016,plain,
% 9.99/7.54 (((~v141(constB6)) | (~v143(constB6))) | v141(constB6)),
% 9.99/7.54 inference(tautology,[status(thm)],[])).
% 9.99/7.54 tff(40017,plain,
% 9.99/7.54 ((~v141(constB6)) | (~v143(constB6))),
% 9.99/7.54 inference(unit_resolution,[status(thm)],[40016, 28912])).
% 9.99/7.54 tff(40018,plain,
% 9.99/7.54 ((~(v154(constB6) <=> (~((~v141(constB6)) | (~v143(constB6)))))) | (~v154(constB6)) | (~((~v141(constB6)) | (~v143(constB6))))),
% 9.99/7.54 inference(tautology,[status(thm)],[])).
% 9.99/7.54 tff(40019,plain,
% 9.99/7.54 ((~(v154(constB6) <=> (~((~v141(constB6)) | (~v143(constB6)))))) | (~v154(constB6))),
% 9.99/7.54 inference(unit_resolution,[status(thm)],[40018, 40017])).
% 9.99/7.54 tff(40020,plain,
% 9.99/7.54 (~v154(constB6)),
% 9.99/7.54 inference(unit_resolution,[status(thm)],[40019, 40015])).
% 9.99/7.54 tff(40021,plain,
% 9.99/7.54 (((~v130(constB6)) | (~v154(constB6))) | v154(constB6)),
% 9.99/7.54 inference(tautology,[status(thm)],[])).
% 9.99/7.54 tff(40022,plain,
% 9.99/7.54 ((~v130(constB6)) | (~v154(constB6))),
% 9.99/7.54 inference(unit_resolution,[status(thm)],[40021, 40020])).
% 9.99/7.54 tff(40023,plain,
% 9.99/7.54 ((~(v164(constB6) <=> (~((~v130(constB6)) | (~v154(constB6)))))) | (~v164(constB6)) | (~((~v130(constB6)) | (~v154(constB6))))),
% 9.99/7.54 inference(tautology,[status(thm)],[])).
% 9.99/7.54 tff(40024,plain,
% 9.99/7.54 (~v164(constB6)),
% 9.99/7.54 inference(unit_resolution,[status(thm)],[40023, 40022, 40008])).
% 9.99/7.54 tff(40025,plain,
% 9.99/7.54 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB6) <=> (~((~v128(constB6)) | (~v139(constB6)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB6) <=> (~((~v128(constB6)) | (~v139(constB6))))))),
% 9.99/7.54 inference(rewrite,[status(thm)],[])).
% 9.99/7.54 tff(40026,plain,
% 9.99/7.54 ((v163(constB6) <=> (~((~v139(constB6)) | (~v128(constB6))))) <=> (v163(constB6) <=> (~((~v128(constB6)) | (~v139(constB6)))))),
% 9.99/7.54 inference(rewrite,[status(thm)],[])).
% 9.99/7.54 tff(40027,plain,
% 9.99/7.54 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB6) <=> (~((~v139(constB6)) | (~v128(constB6)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB6) <=> (~((~v128(constB6)) | (~v139(constB6))))))),
% 9.99/7.54 inference(monotonicity,[status(thm)],[40026])).
% 9.99/7.54 tff(40028,plain,
% 9.99/7.54 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB6) <=> (~((~v139(constB6)) | (~v128(constB6)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB6) <=> (~((~v128(constB6)) | (~v139(constB6))))))),
% 9.99/7.54 inference(transitivity,[status(thm)],[40027, 40025])).
% 9.99/7.54 tff(40029,plain,
% 9.99/7.54 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB6) <=> (~((~v139(constB6)) | (~v128(constB6)))))),
% 9.99/7.54 inference(quant_inst,[status(thm)],[])).
% 9.99/7.54 tff(40030,plain,
% 9.99/7.54 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB6) <=> (~((~v128(constB6)) | (~v139(constB6)))))),
% 9.99/7.54 inference(modus_ponens,[status(thm)],[40029, 40028])).
% 9.99/7.54 tff(40031,plain,
% 9.99/7.54 (v163(constB6) <=> (~((~v128(constB6)) | (~v139(constB6))))),
% 9.99/7.54 inference(unit_resolution,[status(thm)],[40030, 171])).
% 9.99/7.54 tff(40032,plain,
% 9.99/7.54 ((~![VarNext: $i] : (v128(VarNext) <=> v162(VarNext))) | (v128(constB6) <=> v162(constB6))),
% 9.99/7.54 inference(quant_inst,[status(thm)],[])).
% 9.99/7.54 tff(40033,plain,
% 9.99/7.54 (v128(constB6) <=> v162(constB6)),
% 9.99/7.54 inference(unit_resolution,[status(thm)],[40032, 13])).
% 9.99/7.54 tff(40034,plain,
% 9.99/7.54 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB5, constB6)) | (v162(constB6) <=> v160(constB5)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB5, constB6)) | (v162(constB6) <=> v160(constB5)))),
% 9.99/7.54 inference(rewrite,[status(thm)],[])).
% 9.99/7.54 tff(40035,plain,
% 9.99/7.54 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB5, constB6)) | (v162(constB6) <=> v160(constB5)))),
% 9.99/7.54 inference(quant_inst,[status(thm)],[])).
% 9.99/7.54 tff(40036,plain,
% 9.99/7.54 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB5, constB6)) | (v162(constB6) <=> v160(constB5))),
% 9.99/7.54 inference(modus_ponens,[status(thm)],[40035, 40034])).
% 9.99/7.54 tff(40037,plain,
% 9.99/7.54 (v162(constB6) <=> v160(constB5)),
% 9.99/7.54 inference(unit_resolution,[status(thm)],[40036, 9479, 70])).
% 9.99/7.54 tff(40038,plain,
% 9.99/7.54 ((~![VarCurr: $i] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB5) <=> (v163(constB5) | v164(constB5)))),
% 9.99/7.54 inference(quant_inst,[status(thm)],[])).
% 9.99/7.54 tff(40039,plain,
% 9.99/7.54 (v160(constB5) <=> (v163(constB5) | v164(constB5))),
% 9.99/7.54 inference(unit_resolution,[status(thm)],[40038, 84])).
% 9.99/7.54 tff(40040,plain,
% 9.99/7.54 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB5) <=> (~((~v130(constB5)) | (~v154(constB5)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB5) <=> (~((~v130(constB5)) | (~v154(constB5))))))),
% 9.99/7.54 inference(rewrite,[status(thm)],[])).
% 9.99/7.54 tff(40041,plain,
% 9.99/7.54 ((v164(constB5) <=> (~((~v154(constB5)) | (~v130(constB5))))) <=> (v164(constB5) <=> (~((~v130(constB5)) | (~v154(constB5)))))),
% 9.99/7.54 inference(rewrite,[status(thm)],[])).
% 9.99/7.54 tff(40042,plain,
% 9.99/7.54 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB5) <=> (~((~v154(constB5)) | (~v130(constB5)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB5) <=> (~((~v130(constB5)) | (~v154(constB5))))))),
% 9.99/7.54 inference(monotonicity,[status(thm)],[40041])).
% 9.99/7.54 tff(40043,plain,
% 9.99/7.54 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB5) <=> (~((~v154(constB5)) | (~v130(constB5)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB5) <=> (~((~v130(constB5)) | (~v154(constB5))))))),
% 9.99/7.54 inference(transitivity,[status(thm)],[40042, 40040])).
% 9.99/7.54 tff(40044,plain,
% 9.99/7.54 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB5) <=> (~((~v154(constB5)) | (~v130(constB5)))))),
% 9.99/7.54 inference(quant_inst,[status(thm)],[])).
% 9.99/7.54 tff(40045,plain,
% 9.99/7.54 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB5) <=> (~((~v130(constB5)) | (~v154(constB5)))))),
% 9.99/7.54 inference(modus_ponens,[status(thm)],[40044, 40043])).
% 9.99/7.54 tff(40046,plain,
% 9.99/7.54 (v164(constB5) <=> (~((~v130(constB5)) | (~v154(constB5))))),
% 9.99/7.54 inference(unit_resolution,[status(thm)],[40045, 96])).
% 9.99/7.54 tff(40047,plain,
% 9.99/7.54 ((~![VarNext: $i] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB5) <=> v152(constB5))),
% 9.99/7.54 inference(quant_inst,[status(thm)],[])).
% 9.99/7.54 tff(40048,plain,
% 9.99/7.54 (v130(constB5) <=> v152(constB5)),
% 9.99/7.54 inference(unit_resolution,[status(thm)],[40047, 361])).
% 9.99/7.54 tff(40049,plain,
% 9.99/7.54 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB4, constB5)) | (v152(constB5) <=> v150(constB4)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB4, constB5)) | (v152(constB5) <=> v150(constB4)))),
% 9.99/7.54 inference(rewrite,[status(thm)],[])).
% 9.99/7.54 tff(40050,plain,
% 9.99/7.54 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB4, constB5)) | (v152(constB5) <=> v150(constB4)))),
% 9.99/7.54 inference(quant_inst,[status(thm)],[])).
% 9.99/7.54 tff(40051,plain,
% 9.99/7.54 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB4, constB5)) | (v152(constB5) <=> v150(constB4))),
% 9.99/7.54 inference(modus_ponens,[status(thm)],[40050, 40049])).
% 9.99/7.54 tff(40052,plain,
% 9.99/7.54 (v152(constB5) <=> v150(constB4)),
% 9.99/7.54 inference(unit_resolution,[status(thm)],[40051, 9542, 373])).
% 9.99/7.54 tff(40053,plain,
% 9.99/7.54 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v153(VarCurr) | v155(VarCurr)))) | (v150(constB4) <=> (v153(constB4) | v155(constB4)))),
% 9.99/7.54 inference(quant_inst,[status(thm)],[])).
% 9.99/7.54 tff(40054,plain,
% 9.99/7.54 (v150(constB4) <=> (v153(constB4) | v155(constB4))),
% 9.99/7.54 inference(unit_resolution,[status(thm)],[40053, 387])).
% 9.99/7.54 tff(40055,plain,
% 9.99/7.54 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB4) <=> (~((~v132(constB4)) | (~v154(constB4)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB4) <=> (~((~v132(constB4)) | (~v154(constB4))))))),
% 9.99/7.54 inference(rewrite,[status(thm)],[])).
% 9.99/7.54 tff(40056,plain,
% 9.99/7.54 ((v153(constB4) <=> (~((~v154(constB4)) | (~v132(constB4))))) <=> (v153(constB4) <=> (~((~v132(constB4)) | (~v154(constB4)))))),
% 9.99/7.54 inference(rewrite,[status(thm)],[])).
% 9.99/7.54 tff(40057,plain,
% 9.99/7.54 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB4) <=> (~((~v154(constB4)) | (~v132(constB4)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB4) <=> (~((~v132(constB4)) | (~v154(constB4))))))),
% 9.99/7.54 inference(monotonicity,[status(thm)],[40056])).
% 9.99/7.54 tff(40058,plain,
% 9.99/7.54 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB4) <=> (~((~v154(constB4)) | (~v132(constB4)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB4) <=> (~((~v132(constB4)) | (~v154(constB4))))))),
% 9.99/7.54 inference(transitivity,[status(thm)],[40057, 40055])).
% 9.99/7.54 tff(40059,plain,
% 9.99/7.54 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB4) <=> (~((~v154(constB4)) | (~v132(constB4)))))),
% 9.99/7.54 inference(quant_inst,[status(thm)],[])).
% 9.99/7.54 tff(40060,plain,
% 9.99/7.54 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB4) <=> (~((~v132(constB4)) | (~v154(constB4)))))),
% 9.99/7.54 inference(modus_ponens,[status(thm)],[40059, 40058])).
% 9.99/7.54 tff(40061,plain,
% 9.99/7.54 (v153(constB4) <=> (~((~v132(constB4)) | (~v154(constB4))))),
% 9.99/7.54 inference(unit_resolution,[status(thm)],[40060, 399])).
% 9.99/7.54 tff(40062,plain,
% 9.99/7.54 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB4) <=> (~((~v141(constB4)) | (~v143(constB4)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB4) <=> (~((~v141(constB4)) | (~v143(constB4))))))),
% 9.99/7.54 inference(rewrite,[status(thm)],[])).
% 9.99/7.54 tff(40063,plain,
% 9.99/7.54 ((v154(constB4) <=> (~((~v143(constB4)) | (~v141(constB4))))) <=> (v154(constB4) <=> (~((~v141(constB4)) | (~v143(constB4)))))),
% 9.99/7.54 inference(rewrite,[status(thm)],[])).
% 9.99/7.54 tff(40064,plain,
% 9.99/7.54 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB4) <=> (~((~v143(constB4)) | (~v141(constB4)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB4) <=> (~((~v141(constB4)) | (~v143(constB4))))))),
% 9.99/7.54 inference(monotonicity,[status(thm)],[40063])).
% 9.99/7.54 tff(40065,plain,
% 9.99/7.54 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB4) <=> (~((~v143(constB4)) | (~v141(constB4)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB4) <=> (~((~v141(constB4)) | (~v143(constB4))))))),
% 9.99/7.54 inference(transitivity,[status(thm)],[40064, 40062])).
% 9.99/7.54 tff(40066,plain,
% 9.99/7.54 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB4) <=> (~((~v143(constB4)) | (~v141(constB4)))))),
% 9.99/7.54 inference(quant_inst,[status(thm)],[])).
% 9.99/7.54 tff(40067,plain,
% 9.99/7.54 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB4) <=> (~((~v141(constB4)) | (~v143(constB4)))))),
% 9.99/7.54 inference(modus_ponens,[status(thm)],[40066, 40065])).
% 9.99/7.54 tff(40068,plain,
% 9.99/7.54 (v154(constB4) <=> (~((~v141(constB4)) | (~v143(constB4))))),
% 9.99/7.54 inference(unit_resolution,[status(thm)],[40067, 113])).
% 9.99/7.54 tff(40069,plain,
% 9.99/7.54 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB4) <=> (~((~v39(constB4)) | (~v9(constB4)))))),
% 9.99/7.54 inference(quant_inst,[status(thm)],[])).
% 9.99/7.54 tff(40070,plain,
% 9.99/7.54 (v141(constB4) <=> (~((~v39(constB4)) | (~v9(constB4))))),
% 9.99/7.54 inference(unit_resolution,[status(thm)],[40069, 130])).
% 9.99/7.54 tff(40071,plain,
% 9.99/7.54 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB4)) <=> v1(constB4))),
% 9.99/7.54 inference(quant_inst,[status(thm)],[])).
% 9.99/7.54 tff(40072,plain,
% 9.99/7.54 ((~v39(constB4)) <=> v1(constB4)),
% 9.99/7.54 inference(unit_resolution,[status(thm)],[40071, 139])).
% 9.99/7.54 tff(40073,plain,
% 9.99/7.54 ((~((~v39(constB4)) <=> v1(constB4))) | (~v39(constB4)) | (~v1(constB4))),
% 9.99/7.54 inference(tautology,[status(thm)],[])).
% 9.99/7.54 tff(40074,plain,
% 9.99/7.54 ((~((~v39(constB4)) <=> v1(constB4))) | (~v39(constB4))),
% 9.99/7.54 inference(unit_resolution,[status(thm)],[40073, 9604])).
% 9.99/7.54 tff(40075,plain,
% 9.99/7.54 (~v39(constB4)),
% 9.99/7.54 inference(unit_resolution,[status(thm)],[40074, 40072])).
% 9.99/7.54 tff(40076,plain,
% 9.99/7.54 (((~v39(constB4)) | (~v9(constB4))) | v39(constB4)),
% 9.99/7.54 inference(tautology,[status(thm)],[])).
% 9.99/7.54 tff(40077,plain,
% 9.99/7.54 ((~v39(constB4)) | (~v9(constB4))),
% 9.99/7.54 inference(unit_resolution,[status(thm)],[40076, 40075])).
% 9.99/7.54 tff(40078,plain,
% 9.99/7.54 ((~(v141(constB4) <=> (~((~v39(constB4)) | (~v9(constB4)))))) | (~v141(constB4)) | (~((~v39(constB4)) | (~v9(constB4))))),
% 9.99/7.54 inference(tautology,[status(thm)],[])).
% 9.99/7.54 tff(40079,plain,
% 9.99/7.54 ((~(v141(constB4) <=> (~((~v39(constB4)) | (~v9(constB4)))))) | (~v141(constB4))),
% 9.99/7.54 inference(unit_resolution,[status(thm)],[40078, 40077])).
% 9.99/7.54 tff(40080,plain,
% 9.99/7.54 (~v141(constB4)),
% 9.99/7.54 inference(unit_resolution,[status(thm)],[40079, 40070])).
% 9.99/7.54 tff(40081,plain,
% 9.99/7.54 (((~v141(constB4)) | (~v143(constB4))) | v141(constB4)),
% 9.99/7.54 inference(tautology,[status(thm)],[])).
% 9.99/7.54 tff(40082,plain,
% 9.99/7.54 ((~v141(constB4)) | (~v143(constB4))),
% 9.99/7.54 inference(unit_resolution,[status(thm)],[40081, 40080])).
% 9.99/7.54 tff(40083,plain,
% 9.99/7.54 ((~(v154(constB4) <=> (~((~v141(constB4)) | (~v143(constB4)))))) | (~v154(constB4)) | (~((~v141(constB4)) | (~v143(constB4))))),
% 9.99/7.54 inference(tautology,[status(thm)],[])).
% 9.99/7.54 tff(40084,plain,
% 9.99/7.54 ((~(v154(constB4) <=> (~((~v141(constB4)) | (~v143(constB4)))))) | (~v154(constB4))),
% 9.99/7.54 inference(unit_resolution,[status(thm)],[40083, 40082])).
% 9.99/7.54 tff(40085,plain,
% 9.99/7.54 (~v154(constB4)),
% 9.99/7.54 inference(unit_resolution,[status(thm)],[40084, 40068])).
% 9.99/7.54 tff(40086,plain,
% 9.99/7.54 (((~v132(constB4)) | (~v154(constB4))) | v154(constB4)),
% 9.99/7.54 inference(tautology,[status(thm)],[])).
% 9.99/7.54 tff(40087,plain,
% 9.99/7.54 ((~v132(constB4)) | (~v154(constB4))),
% 9.99/7.54 inference(unit_resolution,[status(thm)],[40086, 40085])).
% 9.99/7.54 tff(40088,plain,
% 9.99/7.54 ((~(v153(constB4) <=> (~((~v132(constB4)) | (~v154(constB4)))))) | (~v153(constB4)) | (~((~v132(constB4)) | (~v154(constB4))))),
% 9.99/7.54 inference(tautology,[status(thm)],[])).
% 9.99/7.54 tff(40089,plain,
% 9.99/7.54 (~v153(constB4)),
% 9.99/7.54 inference(unit_resolution,[status(thm)],[40088, 40087, 40061])).
% 9.99/7.54 tff(40090,plain,
% 9.99/7.54 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB4) <=> (~((~v130(constB4)) | (~v139(constB4)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB4) <=> (~((~v130(constB4)) | (~v139(constB4))))))),
% 9.99/7.54 inference(rewrite,[status(thm)],[])).
% 9.99/7.54 tff(40091,plain,
% 9.99/7.54 ((v155(constB4) <=> (~((~v139(constB4)) | (~v130(constB4))))) <=> (v155(constB4) <=> (~((~v130(constB4)) | (~v139(constB4)))))),
% 9.99/7.54 inference(rewrite,[status(thm)],[])).
% 9.99/7.54 tff(40092,plain,
% 9.99/7.54 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB4) <=> (~((~v139(constB4)) | (~v130(constB4)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB4) <=> (~((~v130(constB4)) | (~v139(constB4))))))),
% 9.99/7.54 inference(monotonicity,[status(thm)],[40091])).
% 9.99/7.54 tff(40093,plain,
% 9.99/7.54 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB4) <=> (~((~v139(constB4)) | (~v130(constB4)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB4) <=> (~((~v130(constB4)) | (~v139(constB4))))))),
% 9.99/7.54 inference(transitivity,[status(thm)],[40092, 40090])).
% 9.99/7.54 tff(40094,plain,
% 9.99/7.54 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB4) <=> (~((~v139(constB4)) | (~v130(constB4)))))),
% 9.99/7.54 inference(quant_inst,[status(thm)],[])).
% 9.99/7.54 tff(40095,plain,
% 9.99/7.54 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB4) <=> (~((~v130(constB4)) | (~v139(constB4)))))),
% 9.99/7.54 inference(modus_ponens,[status(thm)],[40094, 40093])).
% 9.99/7.54 tff(40096,plain,
% 9.99/7.54 (v155(constB4) <=> (~((~v130(constB4)) | (~v139(constB4))))),
% 9.99/7.54 inference(unit_resolution,[status(thm)],[40095, 447])).
% 9.99/7.54 tff(40097,plain,
% 9.99/7.54 ((~![VarNext: $i] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB4) <=> v152(constB4))),
% 9.99/7.54 inference(quant_inst,[status(thm)],[])).
% 9.99/7.54 tff(40098,plain,
% 9.99/7.54 (v130(constB4) <=> v152(constB4)),
% 9.99/7.54 inference(unit_resolution,[status(thm)],[40097, 361])).
% 9.99/7.54 tff(40099,plain,
% 9.99/7.54 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB3, constB4)) | (v152(constB4) <=> v150(constB3)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB3, constB4)) | (v152(constB4) <=> v150(constB3)))),
% 9.99/7.54 inference(rewrite,[status(thm)],[])).
% 9.99/7.54 tff(40100,plain,
% 9.99/7.54 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB3, constB4)) | (v152(constB4) <=> v150(constB3)))),
% 9.99/7.54 inference(quant_inst,[status(thm)],[])).
% 9.99/7.54 tff(40101,plain,
% 9.99/7.54 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB3, constB4)) | (v152(constB4) <=> v150(constB3))),
% 9.99/7.54 inference(modus_ponens,[status(thm)],[40100, 40099])).
% 9.99/7.54 tff(40102,plain,
% 9.99/7.54 (v152(constB4) <=> v150(constB3)),
% 9.99/7.54 inference(unit_resolution,[status(thm)],[40101, 9574, 373])).
% 9.99/7.54 tff(40103,plain,
% 9.99/7.54 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v153(VarCurr) | v155(VarCurr)))) | (v150(constB3) <=> (v153(constB3) | v155(constB3)))),
% 9.99/7.54 inference(quant_inst,[status(thm)],[])).
% 9.99/7.54 tff(40104,plain,
% 9.99/7.54 (v150(constB3) <=> (v153(constB3) | v155(constB3))),
% 9.99/7.54 inference(unit_resolution,[status(thm)],[40103, 387])).
% 9.99/7.54 tff(40105,plain,
% 9.99/7.54 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB3) <=> (~((~v132(constB3)) | (~v154(constB3)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB3) <=> (~((~v132(constB3)) | (~v154(constB3))))))),
% 9.99/7.54 inference(rewrite,[status(thm)],[])).
% 9.99/7.54 tff(40106,plain,
% 9.99/7.54 ((v153(constB3) <=> (~((~v154(constB3)) | (~v132(constB3))))) <=> (v153(constB3) <=> (~((~v132(constB3)) | (~v154(constB3)))))),
% 9.99/7.54 inference(rewrite,[status(thm)],[])).
% 9.99/7.54 tff(40107,plain,
% 9.99/7.54 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB3) <=> (~((~v154(constB3)) | (~v132(constB3)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB3) <=> (~((~v132(constB3)) | (~v154(constB3))))))),
% 9.99/7.54 inference(monotonicity,[status(thm)],[40106])).
% 9.99/7.54 tff(40108,plain,
% 9.99/7.54 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB3) <=> (~((~v154(constB3)) | (~v132(constB3)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB3) <=> (~((~v132(constB3)) | (~v154(constB3))))))),
% 9.99/7.54 inference(transitivity,[status(thm)],[40107, 40105])).
% 9.99/7.54 tff(40109,plain,
% 9.99/7.54 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB3) <=> (~((~v154(constB3)) | (~v132(constB3)))))),
% 9.99/7.54 inference(quant_inst,[status(thm)],[])).
% 9.99/7.54 tff(40110,plain,
% 9.99/7.54 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB3) <=> (~((~v132(constB3)) | (~v154(constB3)))))),
% 9.99/7.54 inference(modus_ponens,[status(thm)],[40109, 40108])).
% 9.99/7.54 tff(40111,plain,
% 9.99/7.54 (v153(constB3) <=> (~((~v132(constB3)) | (~v154(constB3))))),
% 9.99/7.54 inference(unit_resolution,[status(thm)],[40110, 399])).
% 9.99/7.54 tff(40112,plain,
% 9.99/7.54 ((~![VarNext: $i] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB3) <=> v137(constB3))),
% 9.99/7.54 inference(quant_inst,[status(thm)],[])).
% 9.99/7.54 tff(40113,plain,
% 9.99/7.54 (v132(constB3) <=> v137(constB3)),
% 9.99/7.54 inference(unit_resolution,[status(thm)],[40112, 558])).
% 9.99/7.54 tff(40114,plain,
% 9.99/7.54 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB2, constB3)) | (v137(constB3) <=> v135(constB2)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB2, constB3)) | (v137(constB3) <=> v135(constB2)))),
% 9.99/7.54 inference(rewrite,[status(thm)],[])).
% 9.99/7.54 tff(40115,plain,
% 9.99/7.54 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB2, constB3)) | (v137(constB3) <=> v135(constB2)))),
% 9.99/7.54 inference(quant_inst,[status(thm)],[])).
% 9.99/7.54 tff(40116,plain,
% 9.99/7.54 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB2, constB3)) | (v137(constB3) <=> v135(constB2))),
% 9.99/7.54 inference(modus_ponens,[status(thm)],[40115, 40114])).
% 9.99/7.54 tff(40117,plain,
% 9.99/7.54 (v137(constB3) <=> v135(constB2)),
% 9.99/7.54 inference(unit_resolution,[status(thm)],[40116, 9639, 570])).
% 9.99/7.54 tff(40118,plain,
% 9.99/7.54 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB2) <=> (v138(constB2) | v142(constB2)))),
% 9.99/7.54 inference(quant_inst,[status(thm)],[])).
% 9.99/7.54 tff(40119,plain,
% 9.99/7.54 (v135(constB2) <=> (v138(constB2) | v142(constB2))),
% 9.99/7.54 inference(unit_resolution,[status(thm)],[40118, 584])).
% 9.99/7.54 tff(40120,plain,
% 9.99/7.54 ((~![VarCurr: $i] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB2) <=> (~((~v143(constB2)) | (~v144(constB2)))))),
% 9.99/7.54 inference(quant_inst,[status(thm)],[])).
% 9.99/7.54 tff(40121,plain,
% 9.99/7.54 (v142(constB2) <=> (~((~v143(constB2)) | (~v144(constB2))))),
% 9.99/7.54 inference(unit_resolution,[status(thm)],[40120, 596])).
% 9.99/7.54 tff(40122,plain,
% 9.99/7.54 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB2) <=> (~((~v141(constB2)) | (~v145(constB2)))))),
% 9.99/7.54 inference(quant_inst,[status(thm)],[])).
% 9.99/7.54 tff(40123,plain,
% 9.99/7.54 (v144(constB2) <=> (~((~v141(constB2)) | (~v145(constB2))))),
% 9.99/7.54 inference(unit_resolution,[status(thm)],[40122, 608])).
% 9.99/7.54 tff(40124,plain,
% 9.99/7.54 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB2) <=> (~((~v39(constB2)) | (~v9(constB2)))))),
% 9.99/7.54 inference(quant_inst,[status(thm)],[])).
% 9.99/7.54 tff(40125,plain,
% 9.99/7.54 (v141(constB2) <=> (~((~v39(constB2)) | (~v9(constB2))))),
% 9.99/7.54 inference(unit_resolution,[status(thm)],[40124, 130])).
% 9.99/7.54 tff(40126,plain,
% 9.99/7.54 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB2)) <=> v1(constB2))),
% 9.99/7.54 inference(quant_inst,[status(thm)],[])).
% 9.99/7.54 tff(40127,plain,
% 9.99/7.54 ((~v39(constB2)) <=> v1(constB2)),
% 9.99/7.54 inference(unit_resolution,[status(thm)],[40126, 139])).
% 9.99/7.54 tff(40128,plain,
% 9.99/7.54 ((~((~v39(constB2)) <=> v1(constB2))) | (~v39(constB2)) | (~v1(constB2))),
% 9.99/7.54 inference(tautology,[status(thm)],[])).
% 9.99/7.54 tff(40129,plain,
% 9.99/7.54 ((~((~v39(constB2)) <=> v1(constB2))) | (~v39(constB2))),
% 9.99/7.54 inference(unit_resolution,[status(thm)],[40128, 9701])).
% 9.99/7.54 tff(40130,plain,
% 9.99/7.54 (~v39(constB2)),
% 9.99/7.54 inference(unit_resolution,[status(thm)],[40129, 40127])).
% 9.99/7.54 tff(40131,plain,
% 9.99/7.54 (((~v39(constB2)) | (~v9(constB2))) | v39(constB2)),
% 9.99/7.54 inference(tautology,[status(thm)],[])).
% 9.99/7.54 tff(40132,plain,
% 9.99/7.54 ((~v39(constB2)) | (~v9(constB2))),
% 9.99/7.54 inference(unit_resolution,[status(thm)],[40131, 40130])).
% 9.99/7.54 tff(40133,plain,
% 9.99/7.54 ((~(v141(constB2) <=> (~((~v39(constB2)) | (~v9(constB2)))))) | (~v141(constB2)) | (~((~v39(constB2)) | (~v9(constB2))))),
% 9.99/7.54 inference(tautology,[status(thm)],[])).
% 9.99/7.54 tff(40134,plain,
% 9.99/7.54 ((~(v141(constB2) <=> (~((~v39(constB2)) | (~v9(constB2)))))) | (~v141(constB2))),
% 9.99/7.54 inference(unit_resolution,[status(thm)],[40133, 40132])).
% 9.99/7.54 tff(40135,plain,
% 9.99/7.54 (~v141(constB2)),
% 9.99/7.54 inference(unit_resolution,[status(thm)],[40134, 40125])).
% 9.99/7.54 tff(40136,plain,
% 9.99/7.54 (((~v141(constB2)) | (~v145(constB2))) | v141(constB2)),
% 9.99/7.54 inference(tautology,[status(thm)],[])).
% 9.99/7.54 tff(40137,plain,
% 9.99/7.54 ((~v141(constB2)) | (~v145(constB2))),
% 9.99/7.54 inference(unit_resolution,[status(thm)],[40136, 40135])).
% 9.99/7.54 tff(40138,plain,
% 9.99/7.54 ((~(v144(constB2) <=> (~((~v141(constB2)) | (~v145(constB2)))))) | (~v144(constB2)) | (~((~v141(constB2)) | (~v145(constB2))))),
% 9.99/7.54 inference(tautology,[status(thm)],[])).
% 9.99/7.54 tff(40139,plain,
% 9.99/7.54 ((~(v144(constB2) <=> (~((~v141(constB2)) | (~v145(constB2)))))) | (~v144(constB2))),
% 9.99/7.54 inference(unit_resolution,[status(thm)],[40138, 40137])).
% 9.99/7.54 tff(40140,plain,
% 9.99/7.54 (~v144(constB2)),
% 9.99/7.54 inference(unit_resolution,[status(thm)],[40139, 40123])).
% 9.99/7.54 tff(40141,plain,
% 9.99/7.54 (((~v143(constB2)) | (~v144(constB2))) | v144(constB2)),
% 9.99/7.54 inference(tautology,[status(thm)],[])).
% 9.99/7.54 tff(40142,plain,
% 9.99/7.54 ((~v143(constB2)) | (~v144(constB2))),
% 9.99/7.54 inference(unit_resolution,[status(thm)],[40141, 40140])).
% 9.99/7.54 tff(40143,plain,
% 9.99/7.54 ((~(v142(constB2) <=> (~((~v143(constB2)) | (~v144(constB2)))))) | (~v142(constB2)) | (~((~v143(constB2)) | (~v144(constB2))))),
% 9.99/7.54 inference(tautology,[status(thm)],[])).
% 9.99/7.54 tff(40144,plain,
% 9.99/7.54 (~v142(constB2)),
% 9.99/7.54 inference(unit_resolution,[status(thm)],[40143, 40142, 40121])).
% 9.99/7.54 tff(40145,plain,
% 9.99/7.54 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB2) <=> (~((~v132(constB2)) | (~v139(constB2)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB2) <=> (~((~v132(constB2)) | (~v139(constB2))))))),
% 9.99/7.54 inference(rewrite,[status(thm)],[])).
% 9.99/7.54 tff(40146,plain,
% 9.99/7.54 ((v138(constB2) <=> (~((~v139(constB2)) | (~v132(constB2))))) <=> (v138(constB2) <=> (~((~v132(constB2)) | (~v139(constB2)))))),
% 9.99/7.54 inference(rewrite,[status(thm)],[])).
% 9.99/7.54 tff(40147,plain,
% 9.99/7.54 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB2) <=> (~((~v139(constB2)) | (~v132(constB2)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB2) <=> (~((~v132(constB2)) | (~v139(constB2))))))),
% 9.99/7.54 inference(monotonicity,[status(thm)],[40146])).
% 9.99/7.54 tff(40148,plain,
% 9.99/7.54 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB2) <=> (~((~v139(constB2)) | (~v132(constB2)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB2) <=> (~((~v132(constB2)) | (~v139(constB2))))))),
% 9.99/7.54 inference(transitivity,[status(thm)],[40147, 40145])).
% 9.99/7.54 tff(40149,plain,
% 9.99/7.54 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB2) <=> (~((~v139(constB2)) | (~v132(constB2)))))),
% 9.99/7.54 inference(quant_inst,[status(thm)],[])).
% 9.99/7.54 tff(40150,plain,
% 9.99/7.54 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB2) <=> (~((~v132(constB2)) | (~v139(constB2)))))),
% 9.99/7.54 inference(modus_ponens,[status(thm)],[40149, 40148])).
% 9.99/7.54 tff(40151,plain,
% 9.99/7.54 (v138(constB2) <=> (~((~v132(constB2)) | (~v139(constB2))))),
% 9.99/7.54 inference(unit_resolution,[status(thm)],[40150, 644])).
% 9.99/7.54 tff(40152,plain,
% 9.99/7.54 ((~![VarNext: $i] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB2) <=> v137(constB2))),
% 9.99/7.54 inference(quant_inst,[status(thm)],[])).
% 9.99/7.54 tff(40153,plain,
% 9.99/7.54 (v132(constB2) <=> v137(constB2)),
% 9.99/7.54 inference(unit_resolution,[status(thm)],[40152, 558])).
% 9.99/7.54 tff(40154,plain,
% 9.99/7.54 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB1, constB2)) | (v137(constB2) <=> v135(constB1)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB1, constB2)) | (v137(constB2) <=> v135(constB1)))),
% 9.99/7.54 inference(rewrite,[status(thm)],[])).
% 9.99/7.54 tff(40155,plain,
% 9.99/7.54 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB1, constB2)) | (v137(constB2) <=> v135(constB1)))),
% 9.99/7.54 inference(quant_inst,[status(thm)],[])).
% 9.99/7.54 tff(40156,plain,
% 9.99/7.54 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB1, constB2)) | (v137(constB2) <=> v135(constB1))),
% 9.99/7.54 inference(modus_ponens,[status(thm)],[40155, 40154])).
% 9.99/7.54 tff(40157,plain,
% 9.99/7.54 (v137(constB2) <=> v135(constB1)),
% 9.99/7.54 inference(unit_resolution,[status(thm)],[40156, 9671, 570])).
% 9.99/7.54 tff(40158,plain,
% 9.99/7.54 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB1) <=> (v138(constB1) | v142(constB1)))),
% 9.99/7.54 inference(quant_inst,[status(thm)],[])).
% 9.99/7.54 tff(40159,plain,
% 9.99/7.54 (v135(constB1) <=> (v138(constB1) | v142(constB1))),
% 9.99/7.54 inference(unit_resolution,[status(thm)],[40158, 584])).
% 9.99/7.54 tff(40160,plain,
% 9.99/7.54 ((~![VarCurr: $i] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB1) <=> (~((~v143(constB1)) | (~v144(constB1)))))),
% 9.99/7.54 inference(quant_inst,[status(thm)],[])).
% 9.99/7.54 tff(40161,plain,
% 9.99/7.54 (v142(constB1) <=> (~((~v143(constB1)) | (~v144(constB1))))),
% 9.99/7.54 inference(unit_resolution,[status(thm)],[40160, 596])).
% 9.99/7.54 tff(40162,plain,
% 9.99/7.54 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB1) <=> (~((~v141(constB1)) | (~v145(constB1)))))),
% 9.99/7.54 inference(quant_inst,[status(thm)],[])).
% 9.99/7.54 tff(40163,plain,
% 9.99/7.54 (v144(constB1) <=> (~((~v141(constB1)) | (~v145(constB1))))),
% 9.99/7.54 inference(unit_resolution,[status(thm)],[40162, 608])).
% 9.99/7.54 tff(40164,plain,
% 9.99/7.54 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB1) <=> (~(v84(constB1, bitIndex2) | v84(constB1, bitIndex1) | (~v84(constB1, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB1) <=> (~(v84(constB1, bitIndex2) | v84(constB1, bitIndex1) | (~v84(constB1, bitIndex0))))))),
% 9.99/7.54 inference(rewrite,[status(thm)],[])).
% 9.99/7.54 tff(40165,plain,
% 9.99/7.54 ((v145(constB1) <=> (~(v84(constB1, bitIndex1) | v84(constB1, bitIndex2) | (~v84(constB1, bitIndex0))))) <=> (v145(constB1) <=> (~(v84(constB1, bitIndex2) | v84(constB1, bitIndex1) | (~v84(constB1, bitIndex0)))))),
% 9.99/7.54 inference(rewrite,[status(thm)],[])).
% 9.99/7.54 tff(40166,plain,
% 9.99/7.54 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB1) <=> (~(v84(constB1, bitIndex1) | v84(constB1, bitIndex2) | (~v84(constB1, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB1) <=> (~(v84(constB1, bitIndex2) | v84(constB1, bitIndex1) | (~v84(constB1, bitIndex0))))))),
% 9.99/7.54 inference(monotonicity,[status(thm)],[40165])).
% 9.99/7.54 tff(40167,plain,
% 9.99/7.54 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB1) <=> (~(v84(constB1, bitIndex1) | v84(constB1, bitIndex2) | (~v84(constB1, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB1) <=> (~(v84(constB1, bitIndex2) | v84(constB1, bitIndex1) | (~v84(constB1, bitIndex0))))))),
% 9.99/7.54 inference(transitivity,[status(thm)],[40166, 40164])).
% 9.99/7.54 tff(40168,plain,
% 9.99/7.54 ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB1) <=> (~(v84(constB1, bitIndex1) | v84(constB1, bitIndex2) | (~v84(constB1, bitIndex0)))))),
% 9.99/7.54 inference(quant_inst,[status(thm)],[])).
% 9.99/7.54 tff(40169,plain,
% 9.99/7.54 ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB1) <=> (~(v84(constB1, bitIndex2) | v84(constB1, bitIndex1) | (~v84(constB1, bitIndex0)))))),
% 9.99/7.54 inference(modus_ponens,[status(thm)],[40168, 40167])).
% 9.99/7.54 tff(40170,plain,
% 9.99/7.54 (v145(constB1) <=> (~(v84(constB1, bitIndex2) | v84(constB1, bitIndex1) | (~v84(constB1, bitIndex0))))),
% 9.99/7.54 inference(unit_resolution,[status(thm)],[40169, 755])).
% 9.99/7.54 tff(40171,plain,
% 9.99/7.54 ((v84(constB1, bitIndex2) | v84(constB1, bitIndex1) | (~v84(constB1, bitIndex0))) | v84(constB1, bitIndex0)),
% 9.99/7.54 inference(tautology,[status(thm)],[])).
% 9.99/7.54 tff(40172,plain,
% 9.99/7.54 (v84(constB1, bitIndex2) | v84(constB1, bitIndex1) | (~v84(constB1, bitIndex0))),
% 9.99/7.54 inference(unit_resolution,[status(thm)],[40171, 9782])).
% 9.99/7.54 tff(40173,plain,
% 9.99/7.54 ((~(v145(constB1) <=> (~(v84(constB1, bitIndex2) | v84(constB1, bitIndex1) | (~v84(constB1, bitIndex0)))))) | (~v145(constB1)) | (~(v84(constB1, bitIndex2) | v84(constB1, bitIndex1) | (~v84(constB1, bitIndex0))))),
% 9.99/7.54 inference(tautology,[status(thm)],[])).
% 9.99/7.54 tff(40174,plain,
% 9.99/7.54 ((~(v145(constB1) <=> (~(v84(constB1, bitIndex2) | v84(constB1, bitIndex1) | (~v84(constB1, bitIndex0)))))) | (~v145(constB1))),
% 9.99/7.54 inference(unit_resolution,[status(thm)],[40173, 40172])).
% 9.99/7.54 tff(40175,plain,
% 9.99/7.54 (~v145(constB1)),
% 9.99/7.54 inference(unit_resolution,[status(thm)],[40174, 40170])).
% 9.99/7.54 tff(40176,plain,
% 9.99/7.54 (((~v141(constB1)) | (~v145(constB1))) | v145(constB1)),
% 9.99/7.54 inference(tautology,[status(thm)],[])).
% 9.99/7.54 tff(40177,plain,
% 9.99/7.54 ((~v141(constB1)) | (~v145(constB1))),
% 9.99/7.54 inference(unit_resolution,[status(thm)],[40176, 40175])).
% 9.99/7.54 tff(40178,plain,
% 9.99/7.54 ((~(v144(constB1) <=> (~((~v141(constB1)) | (~v145(constB1)))))) | (~v144(constB1)) | (~((~v141(constB1)) | (~v145(constB1))))),
% 9.99/7.54 inference(tautology,[status(thm)],[])).
% 9.99/7.54 tff(40179,plain,
% 9.99/7.54 (~v144(constB1)),
% 9.99/7.54 inference(unit_resolution,[status(thm)],[40178, 40177, 40163])).
% 9.99/7.54 tff(40180,plain,
% 9.99/7.54 (((~v143(constB1)) | (~v144(constB1))) | v144(constB1)),
% 9.99/7.54 inference(tautology,[status(thm)],[])).
% 9.99/7.54 tff(40181,plain,
% 9.99/7.54 ((~v143(constB1)) | (~v144(constB1))),
% 9.99/7.54 inference(unit_resolution,[status(thm)],[40180, 40179])).
% 9.99/7.54 tff(40182,plain,
% 9.99/7.54 ((~(v142(constB1) <=> (~((~v143(constB1)) | (~v144(constB1)))))) | (~v142(constB1)) | (~((~v143(constB1)) | (~v144(constB1))))),
% 9.99/7.54 inference(tautology,[status(thm)],[])).
% 9.99/7.54 tff(40183,plain,
% 9.99/7.54 (~v142(constB1)),
% 9.99/7.54 inference(unit_resolution,[status(thm)],[40182, 40181, 40161])).
% 9.99/7.54 tff(40184,plain,
% 9.99/7.54 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB1) <=> (~((~v132(constB1)) | (~v139(constB1)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB1) <=> (~((~v132(constB1)) | (~v139(constB1))))))),
% 9.99/7.54 inference(rewrite,[status(thm)],[])).
% 9.99/7.54 tff(40185,plain,
% 9.99/7.54 ((v138(constB1) <=> (~((~v139(constB1)) | (~v132(constB1))))) <=> (v138(constB1) <=> (~((~v132(constB1)) | (~v139(constB1)))))),
% 9.99/7.54 inference(rewrite,[status(thm)],[])).
% 9.99/7.54 tff(40186,plain,
% 9.99/7.54 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB1) <=> (~((~v139(constB1)) | (~v132(constB1)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB1) <=> (~((~v132(constB1)) | (~v139(constB1))))))),
% 9.99/7.54 inference(monotonicity,[status(thm)],[40185])).
% 9.99/7.54 tff(40187,plain,
% 9.99/7.54 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB1) <=> (~((~v139(constB1)) | (~v132(constB1)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB1) <=> (~((~v132(constB1)) | (~v139(constB1))))))),
% 9.99/7.54 inference(transitivity,[status(thm)],[40186, 40184])).
% 9.99/7.54 tff(40188,plain,
% 9.99/7.54 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB1) <=> (~((~v139(constB1)) | (~v132(constB1)))))),
% 9.99/7.54 inference(quant_inst,[status(thm)],[])).
% 9.99/7.54 tff(40189,plain,
% 9.99/7.54 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB1) <=> (~((~v132(constB1)) | (~v139(constB1)))))),
% 9.99/7.54 inference(modus_ponens,[status(thm)],[40188, 40187])).
% 9.99/7.54 tff(40190,plain,
% 9.99/7.54 (v138(constB1) <=> (~((~v132(constB1)) | (~v139(constB1))))),
% 9.99/7.54 inference(unit_resolution,[status(thm)],[40189, 644])).
% 9.99/7.54 tff(40191,plain,
% 9.99/7.54 ((~![VarNext: $i] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB1) <=> v137(constB1))),
% 9.99/7.54 inference(quant_inst,[status(thm)],[])).
% 9.99/7.54 tff(40192,plain,
% 9.99/7.54 (v132(constB1) <=> v137(constB1)),
% 9.99/7.54 inference(unit_resolution,[status(thm)],[40191, 558])).
% 9.99/7.54 tff(40193,plain,
% 9.99/7.54 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB0, constB1)) | (v137(constB1) <=> v135(constB0)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB0, constB1)) | (v137(constB1) <=> v135(constB0)))),
% 9.99/7.54 inference(rewrite,[status(thm)],[])).
% 9.99/7.54 tff(40194,plain,
% 9.99/7.54 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB0, constB1)) | (v137(constB1) <=> v135(constB0)))),
% 9.99/7.54 inference(quant_inst,[status(thm)],[])).
% 9.99/7.54 tff(40195,plain,
% 9.99/7.54 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB0, constB1)) | (v137(constB1) <=> v135(constB0))),
% 9.99/7.54 inference(modus_ponens,[status(thm)],[40194, 40193])).
% 9.99/7.54 tff(40196,plain,
% 9.99/7.54 (v137(constB1) <=> v135(constB0)),
% 9.99/7.54 inference(unit_resolution,[status(thm)],[40195, 9744, 570])).
% 9.99/7.54 tff(40197,plain,
% 9.99/7.54 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB0) <=> (v138(constB0) | v142(constB0)))),
% 9.99/7.54 inference(quant_inst,[status(thm)],[])).
% 9.99/7.54 tff(40198,plain,
% 9.99/7.54 (v135(constB0) <=> (v138(constB0) | v142(constB0))),
% 9.99/7.54 inference(unit_resolution,[status(thm)],[40197, 584])).
% 9.99/7.54 tff(40199,plain,
% 9.99/7.54 ((~![VarCurr: $i] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB0) <=> (~((~v143(constB0)) | (~v144(constB0)))))),
% 9.99/7.54 inference(quant_inst,[status(thm)],[])).
% 9.99/7.54 tff(40200,plain,
% 9.99/7.54 (v142(constB0) <=> (~((~v143(constB0)) | (~v144(constB0))))),
% 9.99/7.54 inference(unit_resolution,[status(thm)],[40199, 596])).
% 9.99/7.54 tff(40201,plain,
% 9.99/7.54 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB0) <=> (~((~v141(constB0)) | (~v145(constB0)))))),
% 9.99/7.54 inference(quant_inst,[status(thm)],[])).
% 9.99/7.54 tff(40202,plain,
% 9.99/7.54 (v144(constB0) <=> (~((~v141(constB0)) | (~v145(constB0))))),
% 9.99/7.54 inference(unit_resolution,[status(thm)],[40201, 608])).
% 9.99/7.54 tff(40203,plain,
% 9.99/7.54 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB0) <=> (~(v84(constB0, bitIndex2) | v84(constB0, bitIndex1) | (~v84(constB0, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB0) <=> (~(v84(constB0, bitIndex2) | v84(constB0, bitIndex1) | (~v84(constB0, bitIndex0))))))),
% 9.99/7.55 inference(rewrite,[status(thm)],[])).
% 9.99/7.55 tff(40204,plain,
% 9.99/7.55 ((v145(constB0) <=> (~(v84(constB0, bitIndex1) | v84(constB0, bitIndex2) | (~v84(constB0, bitIndex0))))) <=> (v145(constB0) <=> (~(v84(constB0, bitIndex2) | v84(constB0, bitIndex1) | (~v84(constB0, bitIndex0)))))),
% 9.99/7.55 inference(rewrite,[status(thm)],[])).
% 9.99/7.55 tff(40205,plain,
% 9.99/7.55 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB0) <=> (~(v84(constB0, bitIndex1) | v84(constB0, bitIndex2) | (~v84(constB0, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB0) <=> (~(v84(constB0, bitIndex2) | v84(constB0, bitIndex1) | (~v84(constB0, bitIndex0))))))),
% 9.99/7.55 inference(monotonicity,[status(thm)],[40204])).
% 9.99/7.55 tff(40206,plain,
% 9.99/7.55 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB0) <=> (~(v84(constB0, bitIndex1) | v84(constB0, bitIndex2) | (~v84(constB0, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB0) <=> (~(v84(constB0, bitIndex2) | v84(constB0, bitIndex1) | (~v84(constB0, bitIndex0))))))),
% 9.99/7.55 inference(transitivity,[status(thm)],[40205, 40203])).
% 9.99/7.55 tff(40207,plain,
% 9.99/7.55 ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB0) <=> (~(v84(constB0, bitIndex1) | v84(constB0, bitIndex2) | (~v84(constB0, bitIndex0)))))),
% 9.99/7.55 inference(quant_inst,[status(thm)],[])).
% 9.99/7.55 tff(40208,plain,
% 9.99/7.55 ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB0) <=> (~(v84(constB0, bitIndex2) | v84(constB0, bitIndex1) | (~v84(constB0, bitIndex0)))))),
% 9.99/7.55 inference(modus_ponens,[status(thm)],[40207, 40206])).
% 9.99/7.55 tff(40209,plain,
% 9.99/7.55 (v145(constB0) <=> (~(v84(constB0, bitIndex2) | v84(constB0, bitIndex1) | (~v84(constB0, bitIndex0))))),
% 9.99/7.55 inference(unit_resolution,[status(thm)],[40208, 755])).
% 9.99/7.55 tff(40210,plain,
% 9.99/7.55 ((v84(constB0, bitIndex2) | v84(constB0, bitIndex1) | (~v84(constB0, bitIndex0))) | v84(constB0, bitIndex0)),
% 9.99/7.55 inference(tautology,[status(thm)],[])).
% 9.99/7.55 tff(40211,plain,
% 9.99/7.55 (v84(constB0, bitIndex2) | v84(constB0, bitIndex1) | (~v84(constB0, bitIndex0))),
% 9.99/7.55 inference(unit_resolution,[status(thm)],[40210, 9779])).
% 9.99/7.55 tff(40212,plain,
% 9.99/7.55 ((~(v145(constB0) <=> (~(v84(constB0, bitIndex2) | v84(constB0, bitIndex1) | (~v84(constB0, bitIndex0)))))) | (~v145(constB0)) | (~(v84(constB0, bitIndex2) | v84(constB0, bitIndex1) | (~v84(constB0, bitIndex0))))),
% 9.99/7.55 inference(tautology,[status(thm)],[])).
% 9.99/7.55 tff(40213,plain,
% 9.99/7.55 ((~(v145(constB0) <=> (~(v84(constB0, bitIndex2) | v84(constB0, bitIndex1) | (~v84(constB0, bitIndex0)))))) | (~v145(constB0))),
% 9.99/7.55 inference(unit_resolution,[status(thm)],[40212, 40211])).
% 9.99/7.55 tff(40214,plain,
% 9.99/7.55 (~v145(constB0)),
% 9.99/7.55 inference(unit_resolution,[status(thm)],[40213, 40209])).
% 9.99/7.55 tff(40215,plain,
% 9.99/7.55 (((~v141(constB0)) | (~v145(constB0))) | v145(constB0)),
% 9.99/7.55 inference(tautology,[status(thm)],[])).
% 9.99/7.55 tff(40216,plain,
% 9.99/7.55 ((~v141(constB0)) | (~v145(constB0))),
% 9.99/7.55 inference(unit_resolution,[status(thm)],[40215, 40214])).
% 9.99/7.55 tff(40217,plain,
% 9.99/7.55 ((~(v144(constB0) <=> (~((~v141(constB0)) | (~v145(constB0)))))) | (~v144(constB0)) | (~((~v141(constB0)) | (~v145(constB0))))),
% 9.99/7.55 inference(tautology,[status(thm)],[])).
% 9.99/7.55 tff(40218,plain,
% 9.99/7.55 ((~(v144(constB0) <=> (~((~v141(constB0)) | (~v145(constB0)))))) | (~v144(constB0))),
% 9.99/7.55 inference(unit_resolution,[status(thm)],[40217, 40216])).
% 9.99/7.55 tff(40219,plain,
% 9.99/7.55 (~v144(constB0)),
% 9.99/7.55 inference(unit_resolution,[status(thm)],[40218, 40202])).
% 9.99/7.55 tff(40220,plain,
% 9.99/7.55 (((~v143(constB0)) | (~v144(constB0))) | v144(constB0)),
% 9.99/7.55 inference(tautology,[status(thm)],[])).
% 9.99/7.55 tff(40221,plain,
% 9.99/7.55 ((~v143(constB0)) | (~v144(constB0))),
% 9.99/7.55 inference(unit_resolution,[status(thm)],[40220, 40219])).
% 9.99/7.55 tff(40222,plain,
% 9.99/7.55 ((~(v142(constB0) <=> (~((~v143(constB0)) | (~v144(constB0)))))) | (~v142(constB0)) | (~((~v143(constB0)) | (~v144(constB0))))),
% 9.99/7.55 inference(tautology,[status(thm)],[])).
% 9.99/7.55 tff(40223,plain,
% 9.99/7.55 ((~(v142(constB0) <=> (~((~v143(constB0)) | (~v144(constB0)))))) | (~v142(constB0))),
% 9.99/7.55 inference(unit_resolution,[status(thm)],[40222, 40221])).
% 9.99/7.55 tff(40224,plain,
% 9.99/7.55 (~v142(constB0)),
% 9.99/7.55 inference(unit_resolution,[status(thm)],[40223, 40200])).
% 9.99/7.55 tff(40225,plain,
% 9.99/7.55 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB0) <=> (~((~v132(constB0)) | (~v139(constB0)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB0) <=> (~((~v132(constB0)) | (~v139(constB0))))))),
% 9.99/7.55 inference(rewrite,[status(thm)],[])).
% 9.99/7.55 tff(40226,plain,
% 9.99/7.55 ((v138(constB0) <=> (~((~v139(constB0)) | (~v132(constB0))))) <=> (v138(constB0) <=> (~((~v132(constB0)) | (~v139(constB0)))))),
% 9.99/7.55 inference(rewrite,[status(thm)],[])).
% 9.99/7.55 tff(40227,plain,
% 9.99/7.55 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB0) <=> (~((~v139(constB0)) | (~v132(constB0)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB0) <=> (~((~v132(constB0)) | (~v139(constB0))))))),
% 9.99/7.55 inference(monotonicity,[status(thm)],[40226])).
% 9.99/7.55 tff(40228,plain,
% 9.99/7.55 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB0) <=> (~((~v139(constB0)) | (~v132(constB0)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB0) <=> (~((~v132(constB0)) | (~v139(constB0))))))),
% 9.99/7.55 inference(transitivity,[status(thm)],[40227, 40225])).
% 9.99/7.55 tff(40229,plain,
% 9.99/7.55 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB0) <=> (~((~v139(constB0)) | (~v132(constB0)))))),
% 9.99/7.55 inference(quant_inst,[status(thm)],[])).
% 9.99/7.55 tff(40230,plain,
% 9.99/7.55 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB0) <=> (~((~v132(constB0)) | (~v139(constB0)))))),
% 9.99/7.55 inference(modus_ponens,[status(thm)],[40229, 40228])).
% 9.99/7.55 tff(40231,plain,
% 9.99/7.55 (v138(constB0) <=> (~((~v132(constB0)) | (~v139(constB0))))),
% 9.99/7.55 inference(unit_resolution,[status(thm)],[40230, 644])).
% 9.99/7.55 tff(40232,plain,
% 9.99/7.55 ((~v132(constB0)) <=> (~v132(constB0))),
% 9.99/7.55 inference(rewrite,[status(thm)],[])).
% 9.99/7.55 tff(40233,axiom,(~v132(constB0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignmentInitValue_5')).
% 9.99/7.55 tff(40234,plain,
% 9.99/7.55 (~v132(constB0)),
% 9.99/7.55 inference(modus_ponens,[status(thm)],[40233, 40232])).
% 9.99/7.55 tff(40235,plain,
% 9.99/7.55 (((~v132(constB0)) | (~v139(constB0))) | v132(constB0)),
% 9.99/7.55 inference(tautology,[status(thm)],[])).
% 9.99/7.55 tff(40236,plain,
% 9.99/7.55 ((~v132(constB0)) | (~v139(constB0))),
% 9.99/7.55 inference(unit_resolution,[status(thm)],[40235, 40234])).
% 9.99/7.55 tff(40237,plain,
% 9.99/7.55 ((~(v138(constB0) <=> (~((~v132(constB0)) | (~v139(constB0)))))) | (~v138(constB0)) | (~((~v132(constB0)) | (~v139(constB0))))),
% 9.99/7.55 inference(tautology,[status(thm)],[])).
% 9.99/7.55 tff(40238,plain,
% 9.99/7.55 ((~(v138(constB0) <=> (~((~v132(constB0)) | (~v139(constB0)))))) | (~v138(constB0))),
% 9.99/7.55 inference(unit_resolution,[status(thm)],[40237, 40236])).
% 9.99/7.55 tff(40239,plain,
% 9.99/7.55 (~v138(constB0)),
% 9.99/7.55 inference(unit_resolution,[status(thm)],[40238, 40231])).
% 9.99/7.55 tff(40240,plain,
% 9.99/7.55 ((~(v138(constB0) | v142(constB0))) | v138(constB0) | v142(constB0)),
% 9.99/7.55 inference(tautology,[status(thm)],[])).
% 9.99/7.55 tff(40241,plain,
% 9.99/7.55 ((~(v138(constB0) | v142(constB0))) | v142(constB0)),
% 9.99/7.55 inference(unit_resolution,[status(thm)],[40240, 40239])).
% 9.99/7.55 tff(40242,plain,
% 9.99/7.55 (~(v138(constB0) | v142(constB0))),
% 9.99/7.55 inference(unit_resolution,[status(thm)],[40241, 40224])).
% 9.99/7.55 tff(40243,plain,
% 9.99/7.55 ((~(v135(constB0) <=> (v138(constB0) | v142(constB0)))) | (~v135(constB0)) | (v138(constB0) | v142(constB0))),
% 9.99/7.55 inference(tautology,[status(thm)],[])).
% 9.99/7.55 tff(40244,plain,
% 9.99/7.55 (~v135(constB0)),
% 9.99/7.55 inference(unit_resolution,[status(thm)],[40243, 40242, 40198])).
% 9.99/7.55 tff(40245,plain,
% 9.99/7.55 ((~(v137(constB1) <=> v135(constB0))) | (~v137(constB1)) | v135(constB0)),
% 9.99/7.55 inference(tautology,[status(thm)],[])).
% 9.99/7.55 tff(40246,plain,
% 9.99/7.55 (~v137(constB1)),
% 9.99/7.55 inference(unit_resolution,[status(thm)],[40245, 40244, 40196])).
% 9.99/7.55 tff(40247,plain,
% 9.99/7.55 ((~(v132(constB1) <=> v137(constB1))) | (~v132(constB1)) | v137(constB1)),
% 9.99/7.55 inference(tautology,[status(thm)],[])).
% 9.99/7.55 tff(40248,plain,
% 9.99/7.55 (~v132(constB1)),
% 9.99/7.55 inference(unit_resolution,[status(thm)],[40247, 40246, 40192])).
% 9.99/7.55 tff(40249,plain,
% 9.99/7.55 (((~v132(constB1)) | (~v139(constB1))) | v132(constB1)),
% 9.99/7.55 inference(tautology,[status(thm)],[])).
% 9.99/7.55 tff(40250,plain,
% 9.99/7.55 ((~v132(constB1)) | (~v139(constB1))),
% 9.99/7.55 inference(unit_resolution,[status(thm)],[40249, 40248])).
% 9.99/7.55 tff(40251,plain,
% 9.99/7.55 ((~(v138(constB1) <=> (~((~v132(constB1)) | (~v139(constB1)))))) | (~v138(constB1)) | (~((~v132(constB1)) | (~v139(constB1))))),
% 9.99/7.55 inference(tautology,[status(thm)],[])).
% 9.99/7.55 tff(40252,plain,
% 9.99/7.55 (~v138(constB1)),
% 9.99/7.55 inference(unit_resolution,[status(thm)],[40251, 40250, 40190])).
% 9.99/7.55 tff(40253,plain,
% 9.99/7.55 ((~(v138(constB1) | v142(constB1))) | v138(constB1) | v142(constB1)),
% 9.99/7.55 inference(tautology,[status(thm)],[])).
% 9.99/7.55 tff(40254,plain,
% 9.99/7.55 (~(v138(constB1) | v142(constB1))),
% 9.99/7.55 inference(unit_resolution,[status(thm)],[40253, 40252, 40183])).
% 9.99/7.55 tff(40255,plain,
% 9.99/7.55 ((~(v135(constB1) <=> (v138(constB1) | v142(constB1)))) | (~v135(constB1)) | (v138(constB1) | v142(constB1))),
% 9.99/7.55 inference(tautology,[status(thm)],[])).
% 9.99/7.55 tff(40256,plain,
% 9.99/7.55 (~v135(constB1)),
% 9.99/7.55 inference(unit_resolution,[status(thm)],[40255, 40254, 40159])).
% 9.99/7.55 tff(40257,plain,
% 9.99/7.55 ((~(v137(constB2) <=> v135(constB1))) | (~v137(constB2)) | v135(constB1)),
% 9.99/7.55 inference(tautology,[status(thm)],[])).
% 9.99/7.55 tff(40258,plain,
% 9.99/7.55 (~v137(constB2)),
% 9.99/7.55 inference(unit_resolution,[status(thm)],[40257, 40256, 40157])).
% 9.99/7.55 tff(40259,plain,
% 9.99/7.55 ((~(v132(constB2) <=> v137(constB2))) | (~v132(constB2)) | v137(constB2)),
% 9.99/7.55 inference(tautology,[status(thm)],[])).
% 9.99/7.55 tff(40260,plain,
% 9.99/7.55 (~v132(constB2)),
% 9.99/7.55 inference(unit_resolution,[status(thm)],[40259, 40258, 40153])).
% 9.99/7.55 tff(40261,plain,
% 9.99/7.55 (((~v132(constB2)) | (~v139(constB2))) | v132(constB2)),
% 9.99/7.55 inference(tautology,[status(thm)],[])).
% 9.99/7.55 tff(40262,plain,
% 9.99/7.55 ((~v132(constB2)) | (~v139(constB2))),
% 9.99/7.55 inference(unit_resolution,[status(thm)],[40261, 40260])).
% 9.99/7.55 tff(40263,plain,
% 9.99/7.55 ((~(v138(constB2) <=> (~((~v132(constB2)) | (~v139(constB2)))))) | (~v138(constB2)) | (~((~v132(constB2)) | (~v139(constB2))))),
% 9.99/7.55 inference(tautology,[status(thm)],[])).
% 9.99/7.55 tff(40264,plain,
% 9.99/7.55 (~v138(constB2)),
% 9.99/7.55 inference(unit_resolution,[status(thm)],[40263, 40262, 40151])).
% 9.99/7.55 tff(40265,plain,
% 9.99/7.55 ((~(v138(constB2) | v142(constB2))) | v138(constB2) | v142(constB2)),
% 9.99/7.55 inference(tautology,[status(thm)],[])).
% 9.99/7.55 tff(40266,plain,
% 9.99/7.55 (~(v138(constB2) | v142(constB2))),
% 9.99/7.55 inference(unit_resolution,[status(thm)],[40265, 40264, 40144])).
% 9.99/7.55 tff(40267,plain,
% 9.99/7.55 ((~(v135(constB2) <=> (v138(constB2) | v142(constB2)))) | (~v135(constB2)) | (v138(constB2) | v142(constB2))),
% 9.99/7.55 inference(tautology,[status(thm)],[])).
% 9.99/7.55 tff(40268,plain,
% 9.99/7.55 (~v135(constB2)),
% 9.99/7.55 inference(unit_resolution,[status(thm)],[40267, 40266, 40119])).
% 9.99/7.55 tff(40269,plain,
% 9.99/7.55 ((~(v137(constB3) <=> v135(constB2))) | (~v137(constB3)) | v135(constB2)),
% 9.99/7.55 inference(tautology,[status(thm)],[])).
% 9.99/7.55 tff(40270,plain,
% 9.99/7.55 (~v137(constB3)),
% 9.99/7.55 inference(unit_resolution,[status(thm)],[40269, 40268, 40117])).
% 9.99/7.55 tff(40271,plain,
% 9.99/7.55 ((~(v132(constB3) <=> v137(constB3))) | (~v132(constB3)) | v137(constB3)),
% 9.99/7.55 inference(tautology,[status(thm)],[])).
% 9.99/7.55 tff(40272,plain,
% 9.99/7.55 (~v132(constB3)),
% 9.99/7.55 inference(unit_resolution,[status(thm)],[40271, 40270, 40113])).
% 9.99/7.55 tff(40273,plain,
% 9.99/7.55 (((~v132(constB3)) | (~v154(constB3))) | v132(constB3)),
% 9.99/7.55 inference(tautology,[status(thm)],[])).
% 9.99/7.55 tff(40274,plain,
% 9.99/7.55 ((~v132(constB3)) | (~v154(constB3))),
% 9.99/7.55 inference(unit_resolution,[status(thm)],[40273, 40272])).
% 9.99/7.55 tff(40275,plain,
% 9.99/7.55 ((~(v153(constB3) <=> (~((~v132(constB3)) | (~v154(constB3)))))) | (~v153(constB3)) | (~((~v132(constB3)) | (~v154(constB3))))),
% 9.99/7.55 inference(tautology,[status(thm)],[])).
% 9.99/7.55 tff(40276,plain,
% 9.99/7.55 (~v153(constB3)),
% 9.99/7.55 inference(unit_resolution,[status(thm)],[40275, 40274, 40111])).
% 9.99/7.55 tff(40277,plain,
% 9.99/7.55 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB3) <=> (~((~v130(constB3)) | (~v139(constB3)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB3) <=> (~((~v130(constB3)) | (~v139(constB3))))))),
% 9.99/7.55 inference(rewrite,[status(thm)],[])).
% 9.99/7.55 tff(40278,plain,
% 9.99/7.55 ((v155(constB3) <=> (~((~v139(constB3)) | (~v130(constB3))))) <=> (v155(constB3) <=> (~((~v130(constB3)) | (~v139(constB3)))))),
% 9.99/7.55 inference(rewrite,[status(thm)],[])).
% 9.99/7.55 tff(40279,plain,
% 9.99/7.55 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB3) <=> (~((~v139(constB3)) | (~v130(constB3)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB3) <=> (~((~v130(constB3)) | (~v139(constB3))))))),
% 9.99/7.55 inference(monotonicity,[status(thm)],[40278])).
% 9.99/7.55 tff(40280,plain,
% 9.99/7.55 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB3) <=> (~((~v139(constB3)) | (~v130(constB3)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB3) <=> (~((~v130(constB3)) | (~v139(constB3))))))),
% 9.99/7.55 inference(transitivity,[status(thm)],[40279, 40277])).
% 9.99/7.55 tff(40281,plain,
% 9.99/7.55 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB3) <=> (~((~v139(constB3)) | (~v130(constB3)))))),
% 9.99/7.55 inference(quant_inst,[status(thm)],[])).
% 9.99/7.55 tff(40282,plain,
% 9.99/7.55 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB3) <=> (~((~v130(constB3)) | (~v139(constB3)))))),
% 9.99/7.55 inference(modus_ponens,[status(thm)],[40281, 40280])).
% 9.99/7.55 tff(40283,plain,
% 9.99/7.55 (v155(constB3) <=> (~((~v130(constB3)) | (~v139(constB3))))),
% 9.99/7.55 inference(unit_resolution,[status(thm)],[40282, 447])).
% 9.99/7.55 tff(40284,plain,
% 9.99/7.55 ((~![VarNext: $i] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB3) <=> v152(constB3))),
% 9.99/7.55 inference(quant_inst,[status(thm)],[])).
% 9.99/7.55 tff(40285,plain,
% 9.99/7.55 (v130(constB3) <=> v152(constB3)),
% 9.99/7.55 inference(unit_resolution,[status(thm)],[40284, 361])).
% 9.99/7.55 tff(40286,plain,
% 9.99/7.55 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB2, constB3)) | (v152(constB3) <=> v150(constB2)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB2, constB3)) | (v152(constB3) <=> v150(constB2)))),
% 9.99/7.55 inference(rewrite,[status(thm)],[])).
% 9.99/7.55 tff(40287,plain,
% 9.99/7.55 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB2, constB3)) | (v152(constB3) <=> v150(constB2)))),
% 9.99/7.55 inference(quant_inst,[status(thm)],[])).
% 9.99/7.55 tff(40288,plain,
% 9.99/7.55 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB2, constB3)) | (v152(constB3) <=> v150(constB2))),
% 9.99/7.55 inference(modus_ponens,[status(thm)],[40287, 40286])).
% 9.99/7.55 tff(40289,plain,
% 9.99/7.55 (v152(constB3) <=> v150(constB2)),
% 9.99/7.55 inference(unit_resolution,[status(thm)],[40288, 9639, 373])).
% 9.99/7.55 tff(40290,plain,
% 9.99/7.55 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v153(VarCurr) | v155(VarCurr)))) | (v150(constB2) <=> (v153(constB2) | v155(constB2)))),
% 9.99/7.55 inference(quant_inst,[status(thm)],[])).
% 9.99/7.55 tff(40291,plain,
% 9.99/7.55 (v150(constB2) <=> (v153(constB2) | v155(constB2))),
% 9.99/7.55 inference(unit_resolution,[status(thm)],[40290, 387])).
% 9.99/7.55 tff(40292,plain,
% 9.99/7.55 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB2) <=> (~((~v132(constB2)) | (~v154(constB2)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB2) <=> (~((~v132(constB2)) | (~v154(constB2))))))),
% 9.99/7.55 inference(rewrite,[status(thm)],[])).
% 9.99/7.55 tff(40293,plain,
% 9.99/7.55 ((v153(constB2) <=> (~((~v154(constB2)) | (~v132(constB2))))) <=> (v153(constB2) <=> (~((~v132(constB2)) | (~v154(constB2)))))),
% 9.99/7.55 inference(rewrite,[status(thm)],[])).
% 9.99/7.55 tff(40294,plain,
% 9.99/7.55 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB2) <=> (~((~v154(constB2)) | (~v132(constB2)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB2) <=> (~((~v132(constB2)) | (~v154(constB2))))))),
% 9.99/7.55 inference(monotonicity,[status(thm)],[40293])).
% 9.99/7.55 tff(40295,plain,
% 9.99/7.55 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB2) <=> (~((~v154(constB2)) | (~v132(constB2)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB2) <=> (~((~v132(constB2)) | (~v154(constB2))))))),
% 9.99/7.55 inference(transitivity,[status(thm)],[40294, 40292])).
% 9.99/7.55 tff(40296,plain,
% 9.99/7.55 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB2) <=> (~((~v154(constB2)) | (~v132(constB2)))))),
% 9.99/7.55 inference(quant_inst,[status(thm)],[])).
% 9.99/7.55 tff(40297,plain,
% 9.99/7.55 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB2) <=> (~((~v132(constB2)) | (~v154(constB2)))))),
% 9.99/7.55 inference(modus_ponens,[status(thm)],[40296, 40295])).
% 9.99/7.55 tff(40298,plain,
% 9.99/7.55 (v153(constB2) <=> (~((~v132(constB2)) | (~v154(constB2))))),
% 9.99/7.55 inference(unit_resolution,[status(thm)],[40297, 399])).
% 9.99/7.55 tff(40299,plain,
% 9.99/7.55 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB2) <=> (~((~v141(constB2)) | (~v143(constB2)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB2) <=> (~((~v141(constB2)) | (~v143(constB2))))))),
% 9.99/7.55 inference(rewrite,[status(thm)],[])).
% 9.99/7.55 tff(40300,plain,
% 9.99/7.55 ((v154(constB2) <=> (~((~v143(constB2)) | (~v141(constB2))))) <=> (v154(constB2) <=> (~((~v141(constB2)) | (~v143(constB2)))))),
% 9.99/7.55 inference(rewrite,[status(thm)],[])).
% 9.99/7.55 tff(40301,plain,
% 9.99/7.55 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB2) <=> (~((~v143(constB2)) | (~v141(constB2)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB2) <=> (~((~v141(constB2)) | (~v143(constB2))))))),
% 9.99/7.55 inference(monotonicity,[status(thm)],[40300])).
% 9.99/7.55 tff(40302,plain,
% 9.99/7.55 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB2) <=> (~((~v143(constB2)) | (~v141(constB2)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB2) <=> (~((~v141(constB2)) | (~v143(constB2))))))),
% 9.99/7.55 inference(transitivity,[status(thm)],[40301, 40299])).
% 9.99/7.55 tff(40303,plain,
% 9.99/7.55 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB2) <=> (~((~v143(constB2)) | (~v141(constB2)))))),
% 9.99/7.55 inference(quant_inst,[status(thm)],[])).
% 9.99/7.55 tff(40304,plain,
% 9.99/7.55 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB2) <=> (~((~v141(constB2)) | (~v143(constB2)))))),
% 9.99/7.55 inference(modus_ponens,[status(thm)],[40303, 40302])).
% 9.99/7.55 tff(40305,plain,
% 9.99/7.55 (v154(constB2) <=> (~((~v141(constB2)) | (~v143(constB2))))),
% 9.99/7.55 inference(unit_resolution,[status(thm)],[40304, 113])).
% 9.99/7.55 tff(40306,plain,
% 9.99/7.55 (((~v141(constB2)) | (~v143(constB2))) | v141(constB2)),
% 9.99/7.55 inference(tautology,[status(thm)],[])).
% 9.99/7.55 tff(40307,plain,
% 9.99/7.55 ((~v141(constB2)) | (~v143(constB2))),
% 9.99/7.55 inference(unit_resolution,[status(thm)],[40306, 40135])).
% 9.99/7.55 tff(40308,plain,
% 9.99/7.55 ((~(v154(constB2) <=> (~((~v141(constB2)) | (~v143(constB2)))))) | (~v154(constB2)) | (~((~v141(constB2)) | (~v143(constB2))))),
% 9.99/7.55 inference(tautology,[status(thm)],[])).
% 9.99/7.55 tff(40309,plain,
% 9.99/7.55 ((~(v154(constB2) <=> (~((~v141(constB2)) | (~v143(constB2)))))) | (~v154(constB2))),
% 9.99/7.55 inference(unit_resolution,[status(thm)],[40308, 40307])).
% 9.99/7.55 tff(40310,plain,
% 9.99/7.55 (~v154(constB2)),
% 9.99/7.55 inference(unit_resolution,[status(thm)],[40309, 40305])).
% 9.99/7.55 tff(40311,plain,
% 9.99/7.55 (((~v132(constB2)) | (~v154(constB2))) | v154(constB2)),
% 9.99/7.55 inference(tautology,[status(thm)],[])).
% 9.99/7.55 tff(40312,plain,
% 9.99/7.55 ((~v132(constB2)) | (~v154(constB2))),
% 9.99/7.55 inference(unit_resolution,[status(thm)],[40311, 40310])).
% 9.99/7.55 tff(40313,plain,
% 9.99/7.55 ((~(v153(constB2) <=> (~((~v132(constB2)) | (~v154(constB2)))))) | (~v153(constB2)) | (~((~v132(constB2)) | (~v154(constB2))))),
% 9.99/7.55 inference(tautology,[status(thm)],[])).
% 9.99/7.55 tff(40314,plain,
% 9.99/7.55 (~v153(constB2)),
% 9.99/7.55 inference(unit_resolution,[status(thm)],[40313, 40312, 40298])).
% 9.99/7.55 tff(40315,plain,
% 9.99/7.55 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB2) <=> (~((~v130(constB2)) | (~v139(constB2)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB2) <=> (~((~v130(constB2)) | (~v139(constB2))))))),
% 9.99/7.55 inference(rewrite,[status(thm)],[])).
% 9.99/7.55 tff(40316,plain,
% 9.99/7.55 ((v155(constB2) <=> (~((~v139(constB2)) | (~v130(constB2))))) <=> (v155(constB2) <=> (~((~v130(constB2)) | (~v139(constB2)))))),
% 9.99/7.55 inference(rewrite,[status(thm)],[])).
% 9.99/7.55 tff(40317,plain,
% 9.99/7.55 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB2) <=> (~((~v139(constB2)) | (~v130(constB2)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB2) <=> (~((~v130(constB2)) | (~v139(constB2))))))),
% 9.99/7.55 inference(monotonicity,[status(thm)],[40316])).
% 9.99/7.55 tff(40318,plain,
% 9.99/7.55 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB2) <=> (~((~v139(constB2)) | (~v130(constB2)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB2) <=> (~((~v130(constB2)) | (~v139(constB2))))))),
% 9.99/7.55 inference(transitivity,[status(thm)],[40317, 40315])).
% 9.99/7.55 tff(40319,plain,
% 9.99/7.55 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB2) <=> (~((~v139(constB2)) | (~v130(constB2)))))),
% 9.99/7.55 inference(quant_inst,[status(thm)],[])).
% 9.99/7.55 tff(40320,plain,
% 9.99/7.55 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB2) <=> (~((~v130(constB2)) | (~v139(constB2)))))),
% 9.99/7.55 inference(modus_ponens,[status(thm)],[40319, 40318])).
% 9.99/7.55 tff(40321,plain,
% 9.99/7.55 (v155(constB2) <=> (~((~v130(constB2)) | (~v139(constB2))))),
% 9.99/7.55 inference(unit_resolution,[status(thm)],[40320, 447])).
% 9.99/7.55 tff(40322,plain,
% 9.99/7.55 ((~![VarNext: $i] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB2) <=> v152(constB2))),
% 9.99/7.55 inference(quant_inst,[status(thm)],[])).
% 9.99/7.55 tff(40323,plain,
% 9.99/7.55 (v130(constB2) <=> v152(constB2)),
% 9.99/7.55 inference(unit_resolution,[status(thm)],[40322, 361])).
% 9.99/7.55 tff(40324,plain,
% 9.99/7.55 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB1, constB2)) | (v152(constB2) <=> v150(constB1)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB1, constB2)) | (v152(constB2) <=> v150(constB1)))),
% 9.99/7.55 inference(rewrite,[status(thm)],[])).
% 9.99/7.55 tff(40325,plain,
% 9.99/7.55 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB1, constB2)) | (v152(constB2) <=> v150(constB1)))),
% 9.99/7.55 inference(quant_inst,[status(thm)],[])).
% 9.99/7.55 tff(40326,plain,
% 9.99/7.55 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB1, constB2)) | (v152(constB2) <=> v150(constB1))),
% 9.99/7.55 inference(modus_ponens,[status(thm)],[40325, 40324])).
% 9.99/7.55 tff(40327,plain,
% 9.99/7.55 (v152(constB2) <=> v150(constB1)),
% 9.99/7.55 inference(unit_resolution,[status(thm)],[40326, 9671, 373])).
% 9.99/7.55 tff(40328,plain,
% 9.99/7.55 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v153(VarCurr) | v155(VarCurr)))) | (v150(constB1) <=> (v153(constB1) | v155(constB1)))),
% 9.99/7.55 inference(quant_inst,[status(thm)],[])).
% 9.99/7.55 tff(40329,plain,
% 9.99/7.55 (v150(constB1) <=> (v153(constB1) | v155(constB1))),
% 9.99/7.55 inference(unit_resolution,[status(thm)],[40328, 387])).
% 9.99/7.55 tff(40330,plain,
% 9.99/7.55 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB1) <=> (~((~v130(constB1)) | (~v139(constB1)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB1) <=> (~((~v130(constB1)) | (~v139(constB1))))))),
% 9.99/7.55 inference(rewrite,[status(thm)],[])).
% 9.99/7.55 tff(40331,plain,
% 9.99/7.55 ((v155(constB1) <=> (~((~v139(constB1)) | (~v130(constB1))))) <=> (v155(constB1) <=> (~((~v130(constB1)) | (~v139(constB1)))))),
% 9.99/7.55 inference(rewrite,[status(thm)],[])).
% 9.99/7.55 tff(40332,plain,
% 9.99/7.55 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB1) <=> (~((~v139(constB1)) | (~v130(constB1)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB1) <=> (~((~v130(constB1)) | (~v139(constB1))))))),
% 9.99/7.55 inference(monotonicity,[status(thm)],[40331])).
% 9.99/7.55 tff(40333,plain,
% 9.99/7.55 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB1) <=> (~((~v139(constB1)) | (~v130(constB1)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB1) <=> (~((~v130(constB1)) | (~v139(constB1))))))),
% 9.99/7.55 inference(transitivity,[status(thm)],[40332, 40330])).
% 9.99/7.55 tff(40334,plain,
% 9.99/7.55 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB1) <=> (~((~v139(constB1)) | (~v130(constB1)))))),
% 9.99/7.55 inference(quant_inst,[status(thm)],[])).
% 9.99/7.55 tff(40335,plain,
% 9.99/7.55 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB1) <=> (~((~v130(constB1)) | (~v139(constB1)))))),
% 9.99/7.55 inference(modus_ponens,[status(thm)],[40334, 40333])).
% 9.99/7.55 tff(40336,plain,
% 9.99/7.55 (v155(constB1) <=> (~((~v130(constB1)) | (~v139(constB1))))),
% 9.99/7.55 inference(unit_resolution,[status(thm)],[40335, 447])).
% 9.99/7.55 tff(40337,plain,
% 9.99/7.55 ((~![VarNext: $i] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB1) <=> v152(constB1))),
% 9.99/7.55 inference(quant_inst,[status(thm)],[])).
% 9.99/7.55 tff(40338,plain,
% 9.99/7.55 (v130(constB1) <=> v152(constB1)),
% 9.99/7.55 inference(unit_resolution,[status(thm)],[40337, 361])).
% 9.99/7.55 tff(40339,plain,
% 9.99/7.55 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB0, constB1)) | (v152(constB1) <=> v150(constB0)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB0, constB1)) | (v152(constB1) <=> v150(constB0)))),
% 9.99/7.55 inference(rewrite,[status(thm)],[])).
% 9.99/7.55 tff(40340,plain,
% 9.99/7.55 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB0, constB1)) | (v152(constB1) <=> v150(constB0)))),
% 9.99/7.55 inference(quant_inst,[status(thm)],[])).
% 9.99/7.55 tff(40341,plain,
% 9.99/7.55 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB0, constB1)) | (v152(constB1) <=> v150(constB0))),
% 9.99/7.55 inference(modus_ponens,[status(thm)],[40340, 40339])).
% 9.99/7.55 tff(40342,plain,
% 9.99/7.55 (v152(constB1) <=> v150(constB0)),
% 9.99/7.55 inference(unit_resolution,[status(thm)],[40341, 9744, 373])).
% 9.99/7.55 tff(40343,plain,
% 9.99/7.55 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v153(VarCurr) | v155(VarCurr)))) | (v150(constB0) <=> (v153(constB0) | v155(constB0)))),
% 9.99/7.55 inference(quant_inst,[status(thm)],[])).
% 9.99/7.55 tff(40344,plain,
% 9.99/7.55 (v150(constB0) <=> (v153(constB0) | v155(constB0))),
% 9.99/7.55 inference(unit_resolution,[status(thm)],[40343, 387])).
% 9.99/7.55 tff(40345,plain,
% 9.99/7.55 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB0) <=> (~((~v132(constB0)) | (~v154(constB0)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB0) <=> (~((~v132(constB0)) | (~v154(constB0))))))),
% 9.99/7.55 inference(rewrite,[status(thm)],[])).
% 9.99/7.55 tff(40346,plain,
% 9.99/7.55 ((v153(constB0) <=> (~((~v154(constB0)) | (~v132(constB0))))) <=> (v153(constB0) <=> (~((~v132(constB0)) | (~v154(constB0)))))),
% 9.99/7.55 inference(rewrite,[status(thm)],[])).
% 9.99/7.55 tff(40347,plain,
% 9.99/7.55 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB0) <=> (~((~v154(constB0)) | (~v132(constB0)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB0) <=> (~((~v132(constB0)) | (~v154(constB0))))))),
% 9.99/7.55 inference(monotonicity,[status(thm)],[40346])).
% 9.99/7.55 tff(40348,plain,
% 9.99/7.55 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB0) <=> (~((~v154(constB0)) | (~v132(constB0)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB0) <=> (~((~v132(constB0)) | (~v154(constB0))))))),
% 9.99/7.55 inference(transitivity,[status(thm)],[40347, 40345])).
% 9.99/7.55 tff(40349,plain,
% 9.99/7.55 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB0) <=> (~((~v154(constB0)) | (~v132(constB0)))))),
% 9.99/7.55 inference(quant_inst,[status(thm)],[])).
% 9.99/7.55 tff(40350,plain,
% 9.99/7.55 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB0) <=> (~((~v132(constB0)) | (~v154(constB0)))))),
% 9.99/7.55 inference(modus_ponens,[status(thm)],[40349, 40348])).
% 9.99/7.55 tff(40351,plain,
% 9.99/7.55 (v153(constB0) <=> (~((~v132(constB0)) | (~v154(constB0))))),
% 9.99/7.55 inference(unit_resolution,[status(thm)],[40350, 399])).
% 9.99/7.55 tff(40352,plain,
% 9.99/7.55 (((~v132(constB0)) | (~v154(constB0))) | v132(constB0)),
% 9.99/7.55 inference(tautology,[status(thm)],[])).
% 9.99/7.55 tff(40353,plain,
% 9.99/7.55 ((~v132(constB0)) | (~v154(constB0))),
% 9.99/7.55 inference(unit_resolution,[status(thm)],[40352, 40234])).
% 9.99/7.55 tff(40354,plain,
% 9.99/7.55 ((~(v153(constB0) <=> (~((~v132(constB0)) | (~v154(constB0)))))) | (~v153(constB0)) | (~((~v132(constB0)) | (~v154(constB0))))),
% 9.99/7.55 inference(tautology,[status(thm)],[])).
% 9.99/7.55 tff(40355,plain,
% 9.99/7.55 ((~(v153(constB0) <=> (~((~v132(constB0)) | (~v154(constB0)))))) | (~v153(constB0))),
% 9.99/7.55 inference(unit_resolution,[status(thm)],[40354, 40353])).
% 9.99/7.55 tff(40356,plain,
% 9.99/7.55 (~v153(constB0)),
% 9.99/7.55 inference(unit_resolution,[status(thm)],[40355, 40351])).
% 9.99/7.55 tff(40357,plain,
% 9.99/7.55 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB0) <=> (~((~v130(constB0)) | (~v139(constB0)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB0) <=> (~((~v130(constB0)) | (~v139(constB0))))))),
% 9.99/7.55 inference(rewrite,[status(thm)],[])).
% 9.99/7.55 tff(40358,plain,
% 9.99/7.55 ((v155(constB0) <=> (~((~v139(constB0)) | (~v130(constB0))))) <=> (v155(constB0) <=> (~((~v130(constB0)) | (~v139(constB0)))))),
% 9.99/7.55 inference(rewrite,[status(thm)],[])).
% 9.99/7.55 tff(40359,plain,
% 9.99/7.55 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB0) <=> (~((~v139(constB0)) | (~v130(constB0)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB0) <=> (~((~v130(constB0)) | (~v139(constB0))))))),
% 9.99/7.55 inference(monotonicity,[status(thm)],[40358])).
% 9.99/7.55 tff(40360,plain,
% 9.99/7.55 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB0) <=> (~((~v139(constB0)) | (~v130(constB0)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB0) <=> (~((~v130(constB0)) | (~v139(constB0))))))),
% 9.99/7.55 inference(transitivity,[status(thm)],[40359, 40357])).
% 9.99/7.55 tff(40361,plain,
% 9.99/7.55 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB0) <=> (~((~v139(constB0)) | (~v130(constB0)))))),
% 9.99/7.55 inference(quant_inst,[status(thm)],[])).
% 9.99/7.55 tff(40362,plain,
% 9.99/7.55 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB0) <=> (~((~v130(constB0)) | (~v139(constB0)))))),
% 9.99/7.55 inference(modus_ponens,[status(thm)],[40361, 40360])).
% 9.99/7.55 tff(40363,plain,
% 9.99/7.55 (v155(constB0) <=> (~((~v130(constB0)) | (~v139(constB0))))),
% 9.99/7.55 inference(unit_resolution,[status(thm)],[40362, 447])).
% 9.99/7.55 tff(40364,plain,
% 9.99/7.55 (((~v130(constB0)) | (~v139(constB0))) | v130(constB0)),
% 9.99/7.55 inference(tautology,[status(thm)],[])).
% 9.99/7.55 tff(40365,plain,
% 9.99/7.55 ((~v130(constB0)) | (~v139(constB0))),
% 9.99/7.55 inference(unit_resolution,[status(thm)],[40364, 32024])).
% 9.99/7.55 tff(40366,plain,
% 9.99/7.55 ((~(v155(constB0) <=> (~((~v130(constB0)) | (~v139(constB0)))))) | (~v155(constB0)) | (~((~v130(constB0)) | (~v139(constB0))))),
% 9.99/7.55 inference(tautology,[status(thm)],[])).
% 9.99/7.55 tff(40367,plain,
% 9.99/7.55 ((~(v155(constB0) <=> (~((~v130(constB0)) | (~v139(constB0)))))) | (~v155(constB0))),
% 9.99/7.55 inference(unit_resolution,[status(thm)],[40366, 40365])).
% 9.99/7.55 tff(40368,plain,
% 9.99/7.55 (~v155(constB0)),
% 9.99/7.55 inference(unit_resolution,[status(thm)],[40367, 40363])).
% 9.99/7.55 tff(40369,plain,
% 9.99/7.55 ((~(v153(constB0) | v155(constB0))) | v153(constB0) | v155(constB0)),
% 9.99/7.55 inference(tautology,[status(thm)],[])).
% 9.99/7.55 tff(40370,plain,
% 9.99/7.55 (~(v153(constB0) | v155(constB0))),
% 9.99/7.55 inference(unit_resolution,[status(thm)],[40369, 40368, 40356])).
% 9.99/7.55 tff(40371,plain,
% 9.99/7.55 ((~(v150(constB0) <=> (v153(constB0) | v155(constB0)))) | (~v150(constB0)) | (v153(constB0) | v155(constB0))),
% 9.99/7.55 inference(tautology,[status(thm)],[])).
% 9.99/7.55 tff(40372,plain,
% 9.99/7.55 ((~(v150(constB0) <=> (v153(constB0) | v155(constB0)))) | (~v150(constB0))),
% 9.99/7.55 inference(unit_resolution,[status(thm)],[40371, 40370])).
% 9.99/7.55 tff(40373,plain,
% 9.99/7.55 (~v150(constB0)),
% 9.99/7.55 inference(unit_resolution,[status(thm)],[40372, 40344])).
% 9.99/7.55 tff(40374,plain,
% 9.99/7.55 ((~(v152(constB1) <=> v150(constB0))) | (~v152(constB1)) | v150(constB0)),
% 9.99/7.55 inference(tautology,[status(thm)],[])).
% 9.99/7.55 tff(40375,plain,
% 9.99/7.55 (~v152(constB1)),
% 9.99/7.55 inference(unit_resolution,[status(thm)],[40374, 40373, 40342])).
% 9.99/7.55 tff(40376,plain,
% 9.99/7.55 ((~(v130(constB1) <=> v152(constB1))) | (~v130(constB1)) | v152(constB1)),
% 9.99/7.55 inference(tautology,[status(thm)],[])).
% 9.99/7.55 tff(40377,plain,
% 9.99/7.55 (~v130(constB1)),
% 9.99/7.55 inference(unit_resolution,[status(thm)],[40376, 40375, 40338])).
% 9.99/7.55 tff(40378,plain,
% 9.99/7.55 (((~v130(constB1)) | (~v139(constB1))) | v130(constB1)),
% 9.99/7.55 inference(tautology,[status(thm)],[])).
% 9.99/7.55 tff(40379,plain,
% 9.99/7.55 ((~v130(constB1)) | (~v139(constB1))),
% 9.99/7.55 inference(unit_resolution,[status(thm)],[40378, 40377])).
% 9.99/7.55 tff(40380,plain,
% 9.99/7.55 ((~(v155(constB1) <=> (~((~v130(constB1)) | (~v139(constB1)))))) | (~v155(constB1)) | (~((~v130(constB1)) | (~v139(constB1))))),
% 9.99/7.55 inference(tautology,[status(thm)],[])).
% 9.99/7.55 tff(40381,plain,
% 9.99/7.55 ((~(v155(constB1) <=> (~((~v130(constB1)) | (~v139(constB1)))))) | (~v155(constB1))),
% 9.99/7.55 inference(unit_resolution,[status(thm)],[40380, 40379])).
% 9.99/7.55 tff(40382,plain,
% 9.99/7.55 (~v155(constB1)),
% 9.99/7.55 inference(unit_resolution,[status(thm)],[40381, 40336])).
% 9.99/7.55 tff(40383,plain,
% 9.99/7.55 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB1) <=> (~((~v132(constB1)) | (~v154(constB1)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB1) <=> (~((~v132(constB1)) | (~v154(constB1))))))),
% 9.99/7.55 inference(rewrite,[status(thm)],[])).
% 9.99/7.55 tff(40384,plain,
% 9.99/7.55 ((v153(constB1) <=> (~((~v154(constB1)) | (~v132(constB1))))) <=> (v153(constB1) <=> (~((~v132(constB1)) | (~v154(constB1)))))),
% 9.99/7.55 inference(rewrite,[status(thm)],[])).
% 9.99/7.55 tff(40385,plain,
% 9.99/7.55 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB1) <=> (~((~v154(constB1)) | (~v132(constB1)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB1) <=> (~((~v132(constB1)) | (~v154(constB1))))))),
% 9.99/7.55 inference(monotonicity,[status(thm)],[40384])).
% 9.99/7.55 tff(40386,plain,
% 9.99/7.55 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB1) <=> (~((~v154(constB1)) | (~v132(constB1)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB1) <=> (~((~v132(constB1)) | (~v154(constB1))))))),
% 9.99/7.55 inference(transitivity,[status(thm)],[40385, 40383])).
% 9.99/7.55 tff(40387,plain,
% 9.99/7.55 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB1) <=> (~((~v154(constB1)) | (~v132(constB1)))))),
% 9.99/7.55 inference(quant_inst,[status(thm)],[])).
% 9.99/7.55 tff(40388,plain,
% 9.99/7.56 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB1) <=> (~((~v132(constB1)) | (~v154(constB1)))))),
% 9.99/7.56 inference(modus_ponens,[status(thm)],[40387, 40386])).
% 9.99/7.56 tff(40389,plain,
% 9.99/7.56 (v153(constB1) <=> (~((~v132(constB1)) | (~v154(constB1))))),
% 9.99/7.56 inference(unit_resolution,[status(thm)],[40388, 399])).
% 9.99/7.56 tff(40390,plain,
% 9.99/7.56 (((~v132(constB1)) | (~v154(constB1))) | v132(constB1)),
% 9.99/7.56 inference(tautology,[status(thm)],[])).
% 9.99/7.56 tff(40391,plain,
% 9.99/7.56 ((~v132(constB1)) | (~v154(constB1))),
% 9.99/7.56 inference(unit_resolution,[status(thm)],[40390, 40248])).
% 9.99/7.56 tff(40392,plain,
% 9.99/7.56 ((~(v153(constB1) <=> (~((~v132(constB1)) | (~v154(constB1)))))) | (~v153(constB1)) | (~((~v132(constB1)) | (~v154(constB1))))),
% 9.99/7.56 inference(tautology,[status(thm)],[])).
% 9.99/7.56 tff(40393,plain,
% 9.99/7.56 (~v153(constB1)),
% 9.99/7.56 inference(unit_resolution,[status(thm)],[40392, 40391, 40389])).
% 9.99/7.56 tff(40394,plain,
% 9.99/7.56 ((~(v153(constB1) | v155(constB1))) | v153(constB1) | v155(constB1)),
% 9.99/7.56 inference(tautology,[status(thm)],[])).
% 9.99/7.56 tff(40395,plain,
% 9.99/7.56 (~(v153(constB1) | v155(constB1))),
% 9.99/7.56 inference(unit_resolution,[status(thm)],[40394, 40393, 40382])).
% 9.99/7.56 tff(40396,plain,
% 9.99/7.56 ((~(v150(constB1) <=> (v153(constB1) | v155(constB1)))) | (~v150(constB1)) | (v153(constB1) | v155(constB1))),
% 9.99/7.56 inference(tautology,[status(thm)],[])).
% 9.99/7.56 tff(40397,plain,
% 9.99/7.56 (~v150(constB1)),
% 9.99/7.56 inference(unit_resolution,[status(thm)],[40396, 40395, 40329])).
% 9.99/7.56 tff(40398,plain,
% 9.99/7.56 ((~(v152(constB2) <=> v150(constB1))) | (~v152(constB2)) | v150(constB1)),
% 9.99/7.56 inference(tautology,[status(thm)],[])).
% 9.99/7.56 tff(40399,plain,
% 9.99/7.56 (~v152(constB2)),
% 9.99/7.56 inference(unit_resolution,[status(thm)],[40398, 40397, 40327])).
% 9.99/7.56 tff(40400,plain,
% 9.99/7.56 ((~(v130(constB2) <=> v152(constB2))) | (~v130(constB2)) | v152(constB2)),
% 9.99/7.56 inference(tautology,[status(thm)],[])).
% 9.99/7.56 tff(40401,plain,
% 9.99/7.56 (~v130(constB2)),
% 9.99/7.56 inference(unit_resolution,[status(thm)],[40400, 40399, 40323])).
% 9.99/7.56 tff(40402,plain,
% 9.99/7.56 (((~v130(constB2)) | (~v139(constB2))) | v130(constB2)),
% 9.99/7.56 inference(tautology,[status(thm)],[])).
% 9.99/7.56 tff(40403,plain,
% 9.99/7.56 ((~v130(constB2)) | (~v139(constB2))),
% 9.99/7.56 inference(unit_resolution,[status(thm)],[40402, 40401])).
% 9.99/7.56 tff(40404,plain,
% 9.99/7.56 ((~(v155(constB2) <=> (~((~v130(constB2)) | (~v139(constB2)))))) | (~v155(constB2)) | (~((~v130(constB2)) | (~v139(constB2))))),
% 9.99/7.56 inference(tautology,[status(thm)],[])).
% 9.99/7.56 tff(40405,plain,
% 9.99/7.56 (~v155(constB2)),
% 9.99/7.56 inference(unit_resolution,[status(thm)],[40404, 40403, 40321])).
% 9.99/7.56 tff(40406,plain,
% 9.99/7.56 ((~(v153(constB2) | v155(constB2))) | v153(constB2) | v155(constB2)),
% 9.99/7.56 inference(tautology,[status(thm)],[])).
% 9.99/7.56 tff(40407,plain,
% 9.99/7.56 (~(v153(constB2) | v155(constB2))),
% 9.99/7.56 inference(unit_resolution,[status(thm)],[40406, 40405, 40314])).
% 9.99/7.56 tff(40408,plain,
% 9.99/7.56 ((~(v150(constB2) <=> (v153(constB2) | v155(constB2)))) | (~v150(constB2)) | (v153(constB2) | v155(constB2))),
% 9.99/7.56 inference(tautology,[status(thm)],[])).
% 9.99/7.56 tff(40409,plain,
% 9.99/7.56 (~v150(constB2)),
% 9.99/7.56 inference(unit_resolution,[status(thm)],[40408, 40407, 40291])).
% 9.99/7.56 tff(40410,plain,
% 9.99/7.56 ((~(v152(constB3) <=> v150(constB2))) | (~v152(constB3)) | v150(constB2)),
% 9.99/7.56 inference(tautology,[status(thm)],[])).
% 9.99/7.56 tff(40411,plain,
% 9.99/7.56 (~v152(constB3)),
% 9.99/7.56 inference(unit_resolution,[status(thm)],[40410, 40409, 40289])).
% 9.99/7.56 tff(40412,plain,
% 9.99/7.56 ((~(v130(constB3) <=> v152(constB3))) | (~v130(constB3)) | v152(constB3)),
% 9.99/7.56 inference(tautology,[status(thm)],[])).
% 9.99/7.56 tff(40413,plain,
% 9.99/7.56 (~v130(constB3)),
% 9.99/7.56 inference(unit_resolution,[status(thm)],[40412, 40411, 40285])).
% 9.99/7.56 tff(40414,plain,
% 9.99/7.56 (((~v130(constB3)) | (~v139(constB3))) | v130(constB3)),
% 9.99/7.56 inference(tautology,[status(thm)],[])).
% 9.99/7.56 tff(40415,plain,
% 9.99/7.56 ((~v130(constB3)) | (~v139(constB3))),
% 9.99/7.56 inference(unit_resolution,[status(thm)],[40414, 40413])).
% 9.99/7.56 tff(40416,plain,
% 9.99/7.56 ((~(v155(constB3) <=> (~((~v130(constB3)) | (~v139(constB3)))))) | (~v155(constB3)) | (~((~v130(constB3)) | (~v139(constB3))))),
% 9.99/7.56 inference(tautology,[status(thm)],[])).
% 9.99/7.56 tff(40417,plain,
% 9.99/7.56 (~v155(constB3)),
% 9.99/7.56 inference(unit_resolution,[status(thm)],[40416, 40415, 40283])).
% 9.99/7.56 tff(40418,plain,
% 9.99/7.56 ((~(v153(constB3) | v155(constB3))) | v153(constB3) | v155(constB3)),
% 9.99/7.56 inference(tautology,[status(thm)],[])).
% 9.99/7.56 tff(40419,plain,
% 9.99/7.56 (~(v153(constB3) | v155(constB3))),
% 9.99/7.56 inference(unit_resolution,[status(thm)],[40418, 40417, 40276])).
% 9.99/7.56 tff(40420,plain,
% 9.99/7.56 ((~(v150(constB3) <=> (v153(constB3) | v155(constB3)))) | (~v150(constB3)) | (v153(constB3) | v155(constB3))),
% 9.99/7.56 inference(tautology,[status(thm)],[])).
% 9.99/7.56 tff(40421,plain,
% 9.99/7.56 (~v150(constB3)),
% 9.99/7.56 inference(unit_resolution,[status(thm)],[40420, 40419, 40104])).
% 9.99/7.56 tff(40422,plain,
% 9.99/7.56 ((~(v152(constB4) <=> v150(constB3))) | (~v152(constB4)) | v150(constB3)),
% 9.99/7.56 inference(tautology,[status(thm)],[])).
% 9.99/7.56 tff(40423,plain,
% 9.99/7.56 (~v152(constB4)),
% 9.99/7.56 inference(unit_resolution,[status(thm)],[40422, 40421, 40102])).
% 9.99/7.56 tff(40424,plain,
% 9.99/7.56 ((~(v130(constB4) <=> v152(constB4))) | (~v130(constB4)) | v152(constB4)),
% 9.99/7.56 inference(tautology,[status(thm)],[])).
% 9.99/7.56 tff(40425,plain,
% 9.99/7.56 (~v130(constB4)),
% 9.99/7.56 inference(unit_resolution,[status(thm)],[40424, 40423, 40098])).
% 9.99/7.56 tff(40426,plain,
% 9.99/7.56 (((~v130(constB4)) | (~v139(constB4))) | v130(constB4)),
% 9.99/7.56 inference(tautology,[status(thm)],[])).
% 9.99/7.56 tff(40427,plain,
% 9.99/7.56 ((~v130(constB4)) | (~v139(constB4))),
% 9.99/7.56 inference(unit_resolution,[status(thm)],[40426, 40425])).
% 9.99/7.56 tff(40428,plain,
% 9.99/7.56 ((~(v155(constB4) <=> (~((~v130(constB4)) | (~v139(constB4)))))) | (~v155(constB4)) | (~((~v130(constB4)) | (~v139(constB4))))),
% 9.99/7.56 inference(tautology,[status(thm)],[])).
% 9.99/7.56 tff(40429,plain,
% 9.99/7.56 (~v155(constB4)),
% 9.99/7.56 inference(unit_resolution,[status(thm)],[40428, 40427, 40096])).
% 9.99/7.56 tff(40430,plain,
% 9.99/7.56 ((~(v153(constB4) | v155(constB4))) | v153(constB4) | v155(constB4)),
% 9.99/7.56 inference(tautology,[status(thm)],[])).
% 9.99/7.56 tff(40431,plain,
% 9.99/7.56 (~(v153(constB4) | v155(constB4))),
% 9.99/7.56 inference(unit_resolution,[status(thm)],[40430, 40429, 40089])).
% 9.99/7.56 tff(40432,plain,
% 9.99/7.56 ((~(v150(constB4) <=> (v153(constB4) | v155(constB4)))) | (~v150(constB4)) | (v153(constB4) | v155(constB4))),
% 9.99/7.56 inference(tautology,[status(thm)],[])).
% 9.99/7.56 tff(40433,plain,
% 9.99/7.56 (~v150(constB4)),
% 9.99/7.56 inference(unit_resolution,[status(thm)],[40432, 40431, 40054])).
% 9.99/7.56 tff(40434,plain,
% 9.99/7.56 ((~(v152(constB5) <=> v150(constB4))) | (~v152(constB5)) | v150(constB4)),
% 9.99/7.56 inference(tautology,[status(thm)],[])).
% 9.99/7.56 tff(40435,plain,
% 9.99/7.56 (~v152(constB5)),
% 9.99/7.56 inference(unit_resolution,[status(thm)],[40434, 40433, 40052])).
% 9.99/7.56 tff(40436,plain,
% 9.99/7.56 ((~(v130(constB5) <=> v152(constB5))) | (~v130(constB5)) | v152(constB5)),
% 9.99/7.56 inference(tautology,[status(thm)],[])).
% 9.99/7.56 tff(40437,plain,
% 9.99/7.56 (~v130(constB5)),
% 9.99/7.56 inference(unit_resolution,[status(thm)],[40436, 40435, 40048])).
% 9.99/7.56 tff(40438,plain,
% 9.99/7.56 (((~v130(constB5)) | (~v154(constB5))) | v130(constB5)),
% 9.99/7.56 inference(tautology,[status(thm)],[])).
% 9.99/7.56 tff(40439,plain,
% 9.99/7.56 ((~v130(constB5)) | (~v154(constB5))),
% 9.99/7.56 inference(unit_resolution,[status(thm)],[40438, 40437])).
% 9.99/7.56 tff(40440,plain,
% 9.99/7.56 ((~(v164(constB5) <=> (~((~v130(constB5)) | (~v154(constB5)))))) | (~v164(constB5)) | (~((~v130(constB5)) | (~v154(constB5))))),
% 9.99/7.56 inference(tautology,[status(thm)],[])).
% 9.99/7.56 tff(40441,plain,
% 9.99/7.56 (~v164(constB5)),
% 9.99/7.56 inference(unit_resolution,[status(thm)],[40440, 40439, 40046])).
% 9.99/7.56 tff(40442,plain,
% 9.99/7.56 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB5) <=> (~((~v128(constB5)) | (~v139(constB5)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB5) <=> (~((~v128(constB5)) | (~v139(constB5))))))),
% 9.99/7.56 inference(rewrite,[status(thm)],[])).
% 9.99/7.56 tff(40443,plain,
% 9.99/7.56 ((v163(constB5) <=> (~((~v139(constB5)) | (~v128(constB5))))) <=> (v163(constB5) <=> (~((~v128(constB5)) | (~v139(constB5)))))),
% 9.99/7.56 inference(rewrite,[status(thm)],[])).
% 9.99/7.56 tff(40444,plain,
% 9.99/7.56 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB5) <=> (~((~v139(constB5)) | (~v128(constB5)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB5) <=> (~((~v128(constB5)) | (~v139(constB5))))))),
% 9.99/7.56 inference(monotonicity,[status(thm)],[40443])).
% 9.99/7.56 tff(40445,plain,
% 9.99/7.56 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB5) <=> (~((~v139(constB5)) | (~v128(constB5)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB5) <=> (~((~v128(constB5)) | (~v139(constB5))))))),
% 9.99/7.56 inference(transitivity,[status(thm)],[40444, 40442])).
% 9.99/7.56 tff(40446,plain,
% 9.99/7.56 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB5) <=> (~((~v139(constB5)) | (~v128(constB5)))))),
% 9.99/7.56 inference(quant_inst,[status(thm)],[])).
% 9.99/7.56 tff(40447,plain,
% 9.99/7.56 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB5) <=> (~((~v128(constB5)) | (~v139(constB5)))))),
% 9.99/7.56 inference(modus_ponens,[status(thm)],[40446, 40445])).
% 9.99/7.56 tff(40448,plain,
% 9.99/7.56 (v163(constB5) <=> (~((~v128(constB5)) | (~v139(constB5))))),
% 9.99/7.56 inference(unit_resolution,[status(thm)],[40447, 171])).
% 9.99/7.56 tff(40449,plain,
% 9.99/7.56 ((~![VarNext: $i] : (v128(VarNext) <=> v162(VarNext))) | (v128(constB5) <=> v162(constB5))),
% 9.99/7.56 inference(quant_inst,[status(thm)],[])).
% 9.99/7.56 tff(40450,plain,
% 9.99/7.56 (v128(constB5) <=> v162(constB5)),
% 9.99/7.56 inference(unit_resolution,[status(thm)],[40449, 13])).
% 9.99/7.56 tff(40451,plain,
% 9.99/7.56 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB4, constB5)) | (v162(constB5) <=> v160(constB4)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB4, constB5)) | (v162(constB5) <=> v160(constB4)))),
% 9.99/7.56 inference(rewrite,[status(thm)],[])).
% 9.99/7.56 tff(40452,plain,
% 9.99/7.56 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB4, constB5)) | (v162(constB5) <=> v160(constB4)))),
% 9.99/7.56 inference(quant_inst,[status(thm)],[])).
% 9.99/7.56 tff(40453,plain,
% 9.99/7.56 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB4, constB5)) | (v162(constB5) <=> v160(constB4))),
% 9.99/7.56 inference(modus_ponens,[status(thm)],[40452, 40451])).
% 9.99/7.56 tff(40454,plain,
% 9.99/7.56 (v162(constB5) <=> v160(constB4)),
% 9.99/7.56 inference(unit_resolution,[status(thm)],[40453, 9542, 70])).
% 9.99/7.56 tff(40455,plain,
% 9.99/7.56 ((~![VarCurr: $i] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB4) <=> (v163(constB4) | v164(constB4)))),
% 9.99/7.56 inference(quant_inst,[status(thm)],[])).
% 9.99/7.56 tff(40456,plain,
% 9.99/7.56 (v160(constB4) <=> (v163(constB4) | v164(constB4))),
% 9.99/7.56 inference(unit_resolution,[status(thm)],[40455, 84])).
% 9.99/7.56 tff(40457,plain,
% 9.99/7.56 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB4) <=> (~((~v130(constB4)) | (~v154(constB4)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB4) <=> (~((~v130(constB4)) | (~v154(constB4))))))),
% 9.99/7.56 inference(rewrite,[status(thm)],[])).
% 9.99/7.56 tff(40458,plain,
% 9.99/7.56 ((v164(constB4) <=> (~((~v154(constB4)) | (~v130(constB4))))) <=> (v164(constB4) <=> (~((~v130(constB4)) | (~v154(constB4)))))),
% 9.99/7.56 inference(rewrite,[status(thm)],[])).
% 9.99/7.56 tff(40459,plain,
% 9.99/7.56 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB4) <=> (~((~v154(constB4)) | (~v130(constB4)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB4) <=> (~((~v130(constB4)) | (~v154(constB4))))))),
% 9.99/7.56 inference(monotonicity,[status(thm)],[40458])).
% 9.99/7.56 tff(40460,plain,
% 9.99/7.56 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB4) <=> (~((~v154(constB4)) | (~v130(constB4)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB4) <=> (~((~v130(constB4)) | (~v154(constB4))))))),
% 9.99/7.56 inference(transitivity,[status(thm)],[40459, 40457])).
% 9.99/7.56 tff(40461,plain,
% 9.99/7.56 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB4) <=> (~((~v154(constB4)) | (~v130(constB4)))))),
% 9.99/7.56 inference(quant_inst,[status(thm)],[])).
% 9.99/7.56 tff(40462,plain,
% 9.99/7.56 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB4) <=> (~((~v130(constB4)) | (~v154(constB4)))))),
% 9.99/7.56 inference(modus_ponens,[status(thm)],[40461, 40460])).
% 9.99/7.56 tff(40463,plain,
% 9.99/7.56 (v164(constB4) <=> (~((~v130(constB4)) | (~v154(constB4))))),
% 9.99/7.56 inference(unit_resolution,[status(thm)],[40462, 96])).
% 9.99/7.56 tff(40464,plain,
% 9.99/7.56 (((~v130(constB4)) | (~v154(constB4))) | v154(constB4)),
% 9.99/7.56 inference(tautology,[status(thm)],[])).
% 9.99/7.56 tff(40465,plain,
% 9.99/7.56 ((~v130(constB4)) | (~v154(constB4))),
% 9.99/7.56 inference(unit_resolution,[status(thm)],[40464, 40085])).
% 9.99/7.56 tff(40466,plain,
% 9.99/7.56 ((~(v164(constB4) <=> (~((~v130(constB4)) | (~v154(constB4)))))) | (~v164(constB4)) | (~((~v130(constB4)) | (~v154(constB4))))),
% 9.99/7.56 inference(tautology,[status(thm)],[])).
% 9.99/7.56 tff(40467,plain,
% 9.99/7.56 (~v164(constB4)),
% 9.99/7.56 inference(unit_resolution,[status(thm)],[40466, 40465, 40463])).
% 9.99/7.56 tff(40468,plain,
% 9.99/7.56 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB4) <=> (~((~v128(constB4)) | (~v139(constB4)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB4) <=> (~((~v128(constB4)) | (~v139(constB4))))))),
% 9.99/7.56 inference(rewrite,[status(thm)],[])).
% 9.99/7.56 tff(40469,plain,
% 9.99/7.56 ((v163(constB4) <=> (~((~v139(constB4)) | (~v128(constB4))))) <=> (v163(constB4) <=> (~((~v128(constB4)) | (~v139(constB4)))))),
% 9.99/7.56 inference(rewrite,[status(thm)],[])).
% 9.99/7.56 tff(40470,plain,
% 9.99/7.56 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB4) <=> (~((~v139(constB4)) | (~v128(constB4)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB4) <=> (~((~v128(constB4)) | (~v139(constB4))))))),
% 9.99/7.56 inference(monotonicity,[status(thm)],[40469])).
% 9.99/7.56 tff(40471,plain,
% 9.99/7.56 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB4) <=> (~((~v139(constB4)) | (~v128(constB4)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB4) <=> (~((~v128(constB4)) | (~v139(constB4))))))),
% 9.99/7.56 inference(transitivity,[status(thm)],[40470, 40468])).
% 9.99/7.56 tff(40472,plain,
% 9.99/7.56 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB4) <=> (~((~v139(constB4)) | (~v128(constB4)))))),
% 9.99/7.56 inference(quant_inst,[status(thm)],[])).
% 9.99/7.56 tff(40473,plain,
% 9.99/7.56 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB4) <=> (~((~v128(constB4)) | (~v139(constB4)))))),
% 9.99/7.56 inference(modus_ponens,[status(thm)],[40472, 40471])).
% 9.99/7.56 tff(40474,plain,
% 9.99/7.56 (v163(constB4) <=> (~((~v128(constB4)) | (~v139(constB4))))),
% 9.99/7.56 inference(unit_resolution,[status(thm)],[40473, 171])).
% 9.99/7.56 tff(40475,plain,
% 9.99/7.56 ((~![VarNext: $i] : (v128(VarNext) <=> v162(VarNext))) | (v128(constB4) <=> v162(constB4))),
% 9.99/7.56 inference(quant_inst,[status(thm)],[])).
% 9.99/7.56 tff(40476,plain,
% 9.99/7.56 (v128(constB4) <=> v162(constB4)),
% 9.99/7.56 inference(unit_resolution,[status(thm)],[40475, 13])).
% 9.99/7.56 tff(40477,plain,
% 9.99/7.56 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB3, constB4)) | (v162(constB4) <=> v160(constB3)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB3, constB4)) | (v162(constB4) <=> v160(constB3)))),
% 9.99/7.56 inference(rewrite,[status(thm)],[])).
% 9.99/7.56 tff(40478,plain,
% 9.99/7.56 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB3, constB4)) | (v162(constB4) <=> v160(constB3)))),
% 9.99/7.56 inference(quant_inst,[status(thm)],[])).
% 9.99/7.56 tff(40479,plain,
% 9.99/7.56 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB3, constB4)) | (v162(constB4) <=> v160(constB3))),
% 9.99/7.56 inference(modus_ponens,[status(thm)],[40478, 40477])).
% 9.99/7.56 tff(40480,plain,
% 9.99/7.56 (v162(constB4) <=> v160(constB3)),
% 9.99/7.56 inference(unit_resolution,[status(thm)],[40479, 9574, 70])).
% 9.99/7.56 tff(40481,plain,
% 9.99/7.56 ((~![VarCurr: $i] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB3) <=> (v163(constB3) | v164(constB3)))),
% 9.99/7.56 inference(quant_inst,[status(thm)],[])).
% 9.99/7.56 tff(40482,plain,
% 9.99/7.56 (v160(constB3) <=> (v163(constB3) | v164(constB3))),
% 9.99/7.56 inference(unit_resolution,[status(thm)],[40481, 84])).
% 9.99/7.56 tff(40483,plain,
% 9.99/7.56 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB3) <=> (~((~v128(constB3)) | (~v139(constB3)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB3) <=> (~((~v128(constB3)) | (~v139(constB3))))))),
% 9.99/7.56 inference(rewrite,[status(thm)],[])).
% 9.99/7.56 tff(40484,plain,
% 9.99/7.56 ((v163(constB3) <=> (~((~v139(constB3)) | (~v128(constB3))))) <=> (v163(constB3) <=> (~((~v128(constB3)) | (~v139(constB3)))))),
% 9.99/7.56 inference(rewrite,[status(thm)],[])).
% 9.99/7.56 tff(40485,plain,
% 9.99/7.56 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB3) <=> (~((~v139(constB3)) | (~v128(constB3)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB3) <=> (~((~v128(constB3)) | (~v139(constB3))))))),
% 9.99/7.56 inference(monotonicity,[status(thm)],[40484])).
% 9.99/7.56 tff(40486,plain,
% 9.99/7.56 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB3) <=> (~((~v139(constB3)) | (~v128(constB3)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB3) <=> (~((~v128(constB3)) | (~v139(constB3))))))),
% 9.99/7.56 inference(transitivity,[status(thm)],[40485, 40483])).
% 9.99/7.56 tff(40487,plain,
% 9.99/7.56 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB3) <=> (~((~v139(constB3)) | (~v128(constB3)))))),
% 9.99/7.56 inference(quant_inst,[status(thm)],[])).
% 9.99/7.56 tff(40488,plain,
% 9.99/7.56 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB3) <=> (~((~v128(constB3)) | (~v139(constB3)))))),
% 9.99/7.56 inference(modus_ponens,[status(thm)],[40487, 40486])).
% 9.99/7.56 tff(40489,plain,
% 9.99/7.56 (v163(constB3) <=> (~((~v128(constB3)) | (~v139(constB3))))),
% 9.99/7.56 inference(unit_resolution,[status(thm)],[40488, 171])).
% 9.99/7.56 tff(40490,plain,
% 9.99/7.56 ((~![VarNext: $i] : (v128(VarNext) <=> v162(VarNext))) | (v128(constB3) <=> v162(constB3))),
% 9.99/7.56 inference(quant_inst,[status(thm)],[])).
% 9.99/7.56 tff(40491,plain,
% 9.99/7.56 (v128(constB3) <=> v162(constB3)),
% 9.99/7.56 inference(unit_resolution,[status(thm)],[40490, 13])).
% 9.99/7.56 tff(40492,plain,
% 9.99/7.56 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB2, constB3)) | (v162(constB3) <=> v160(constB2)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB2, constB3)) | (v162(constB3) <=> v160(constB2)))),
% 9.99/7.56 inference(rewrite,[status(thm)],[])).
% 9.99/7.56 tff(40493,plain,
% 9.99/7.56 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB2, constB3)) | (v162(constB3) <=> v160(constB2)))),
% 9.99/7.56 inference(quant_inst,[status(thm)],[])).
% 9.99/7.56 tff(40494,plain,
% 9.99/7.56 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB2, constB3)) | (v162(constB3) <=> v160(constB2))),
% 9.99/7.56 inference(modus_ponens,[status(thm)],[40493, 40492])).
% 9.99/7.56 tff(40495,plain,
% 9.99/7.56 (v162(constB3) <=> v160(constB2)),
% 9.99/7.56 inference(unit_resolution,[status(thm)],[40494, 9639, 70])).
% 9.99/7.56 tff(40496,plain,
% 9.99/7.56 ((~![VarCurr: $i] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB2) <=> (v163(constB2) | v164(constB2)))),
% 9.99/7.56 inference(quant_inst,[status(thm)],[])).
% 9.99/7.56 tff(40497,plain,
% 9.99/7.56 (v160(constB2) <=> (v163(constB2) | v164(constB2))),
% 9.99/7.56 inference(unit_resolution,[status(thm)],[40496, 84])).
% 9.99/7.56 tff(40498,plain,
% 9.99/7.56 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB2) <=> (~((~v130(constB2)) | (~v154(constB2)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB2) <=> (~((~v130(constB2)) | (~v154(constB2))))))),
% 9.99/7.56 inference(rewrite,[status(thm)],[])).
% 9.99/7.56 tff(40499,plain,
% 9.99/7.56 ((v164(constB2) <=> (~((~v154(constB2)) | (~v130(constB2))))) <=> (v164(constB2) <=> (~((~v130(constB2)) | (~v154(constB2)))))),
% 9.99/7.56 inference(rewrite,[status(thm)],[])).
% 9.99/7.56 tff(40500,plain,
% 9.99/7.56 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB2) <=> (~((~v154(constB2)) | (~v130(constB2)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB2) <=> (~((~v130(constB2)) | (~v154(constB2))))))),
% 9.99/7.56 inference(monotonicity,[status(thm)],[40499])).
% 9.99/7.56 tff(40501,plain,
% 9.99/7.56 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB2) <=> (~((~v154(constB2)) | (~v130(constB2)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB2) <=> (~((~v130(constB2)) | (~v154(constB2))))))),
% 9.99/7.56 inference(transitivity,[status(thm)],[40500, 40498])).
% 9.99/7.56 tff(40502,plain,
% 9.99/7.56 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB2) <=> (~((~v154(constB2)) | (~v130(constB2)))))),
% 9.99/7.56 inference(quant_inst,[status(thm)],[])).
% 9.99/7.56 tff(40503,plain,
% 9.99/7.56 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB2) <=> (~((~v130(constB2)) | (~v154(constB2)))))),
% 9.99/7.56 inference(modus_ponens,[status(thm)],[40502, 40501])).
% 9.99/7.56 tff(40504,plain,
% 9.99/7.56 (v164(constB2) <=> (~((~v130(constB2)) | (~v154(constB2))))),
% 9.99/7.56 inference(unit_resolution,[status(thm)],[40503, 96])).
% 9.99/7.56 tff(40505,plain,
% 9.99/7.56 (((~v130(constB2)) | (~v154(constB2))) | v154(constB2)),
% 9.99/7.56 inference(tautology,[status(thm)],[])).
% 9.99/7.56 tff(40506,plain,
% 9.99/7.56 ((~v130(constB2)) | (~v154(constB2))),
% 9.99/7.56 inference(unit_resolution,[status(thm)],[40505, 40310])).
% 9.99/7.56 tff(40507,plain,
% 9.99/7.56 ((~(v164(constB2) <=> (~((~v130(constB2)) | (~v154(constB2)))))) | (~v164(constB2)) | (~((~v130(constB2)) | (~v154(constB2))))),
% 9.99/7.56 inference(tautology,[status(thm)],[])).
% 9.99/7.56 tff(40508,plain,
% 9.99/7.56 (~v164(constB2)),
% 9.99/7.56 inference(unit_resolution,[status(thm)],[40507, 40506, 40504])).
% 9.99/7.56 tff(40509,plain,
% 9.99/7.56 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB2) <=> (~((~v128(constB2)) | (~v139(constB2)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB2) <=> (~((~v128(constB2)) | (~v139(constB2))))))),
% 9.99/7.56 inference(rewrite,[status(thm)],[])).
% 9.99/7.56 tff(40510,plain,
% 9.99/7.56 ((v163(constB2) <=> (~((~v139(constB2)) | (~v128(constB2))))) <=> (v163(constB2) <=> (~((~v128(constB2)) | (~v139(constB2)))))),
% 9.99/7.56 inference(rewrite,[status(thm)],[])).
% 9.99/7.56 tff(40511,plain,
% 9.99/7.56 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB2) <=> (~((~v139(constB2)) | (~v128(constB2)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB2) <=> (~((~v128(constB2)) | (~v139(constB2))))))),
% 9.99/7.56 inference(monotonicity,[status(thm)],[40510])).
% 9.99/7.56 tff(40512,plain,
% 9.99/7.56 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB2) <=> (~((~v139(constB2)) | (~v128(constB2)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB2) <=> (~((~v128(constB2)) | (~v139(constB2))))))),
% 9.99/7.56 inference(transitivity,[status(thm)],[40511, 40509])).
% 9.99/7.56 tff(40513,plain,
% 9.99/7.56 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB2) <=> (~((~v139(constB2)) | (~v128(constB2)))))),
% 9.99/7.56 inference(quant_inst,[status(thm)],[])).
% 9.99/7.56 tff(40514,plain,
% 9.99/7.56 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB2) <=> (~((~v128(constB2)) | (~v139(constB2)))))),
% 9.99/7.56 inference(modus_ponens,[status(thm)],[40513, 40512])).
% 9.99/7.56 tff(40515,plain,
% 9.99/7.56 (v163(constB2) <=> (~((~v128(constB2)) | (~v139(constB2))))),
% 9.99/7.56 inference(unit_resolution,[status(thm)],[40514, 171])).
% 9.99/7.56 tff(40516,plain,
% 9.99/7.56 ((~![VarNext: $i] : (v128(VarNext) <=> v162(VarNext))) | (v128(constB2) <=> v162(constB2))),
% 9.99/7.56 inference(quant_inst,[status(thm)],[])).
% 9.99/7.56 tff(40517,plain,
% 9.99/7.56 (v128(constB2) <=> v162(constB2)),
% 9.99/7.56 inference(unit_resolution,[status(thm)],[40516, 13])).
% 9.99/7.56 tff(40518,plain,
% 9.99/7.56 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB1, constB2)) | (v162(constB2) <=> v160(constB1)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB1, constB2)) | (v162(constB2) <=> v160(constB1)))),
% 9.99/7.56 inference(rewrite,[status(thm)],[])).
% 9.99/7.56 tff(40519,plain,
% 9.99/7.56 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB1, constB2)) | (v162(constB2) <=> v160(constB1)))),
% 9.99/7.56 inference(quant_inst,[status(thm)],[])).
% 9.99/7.56 tff(40520,plain,
% 9.99/7.56 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB1, constB2)) | (v162(constB2) <=> v160(constB1))),
% 9.99/7.56 inference(modus_ponens,[status(thm)],[40519, 40518])).
% 9.99/7.56 tff(40521,plain,
% 9.99/7.56 (v162(constB2) <=> v160(constB1)),
% 9.99/7.56 inference(unit_resolution,[status(thm)],[40520, 9671, 70])).
% 9.99/7.56 tff(40522,plain,
% 9.99/7.56 ((~![VarCurr: $i] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB1) <=> (v163(constB1) | v164(constB1)))),
% 9.99/7.56 inference(quant_inst,[status(thm)],[])).
% 9.99/7.56 tff(40523,plain,
% 9.99/7.56 (v160(constB1) <=> (v163(constB1) | v164(constB1))),
% 9.99/7.56 inference(unit_resolution,[status(thm)],[40522, 84])).
% 9.99/7.56 tff(40524,plain,
% 9.99/7.56 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB1) <=> (~((~v130(constB1)) | (~v154(constB1)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB1) <=> (~((~v130(constB1)) | (~v154(constB1))))))),
% 9.99/7.56 inference(rewrite,[status(thm)],[])).
% 9.99/7.56 tff(40525,plain,
% 9.99/7.56 ((v164(constB1) <=> (~((~v154(constB1)) | (~v130(constB1))))) <=> (v164(constB1) <=> (~((~v130(constB1)) | (~v154(constB1)))))),
% 9.99/7.56 inference(rewrite,[status(thm)],[])).
% 9.99/7.56 tff(40526,plain,
% 9.99/7.56 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB1) <=> (~((~v154(constB1)) | (~v130(constB1)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB1) <=> (~((~v130(constB1)) | (~v154(constB1))))))),
% 9.99/7.56 inference(monotonicity,[status(thm)],[40525])).
% 9.99/7.56 tff(40527,plain,
% 9.99/7.56 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB1) <=> (~((~v154(constB1)) | (~v130(constB1)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB1) <=> (~((~v130(constB1)) | (~v154(constB1))))))),
% 9.99/7.56 inference(transitivity,[status(thm)],[40526, 40524])).
% 9.99/7.56 tff(40528,plain,
% 9.99/7.56 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB1) <=> (~((~v154(constB1)) | (~v130(constB1)))))),
% 9.99/7.56 inference(quant_inst,[status(thm)],[])).
% 9.99/7.56 tff(40529,plain,
% 9.99/7.56 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB1) <=> (~((~v130(constB1)) | (~v154(constB1)))))),
% 9.99/7.56 inference(modus_ponens,[status(thm)],[40528, 40527])).
% 9.99/7.56 tff(40530,plain,
% 9.99/7.56 (v164(constB1) <=> (~((~v130(constB1)) | (~v154(constB1))))),
% 9.99/7.56 inference(unit_resolution,[status(thm)],[40529, 96])).
% 9.99/7.56 tff(40531,plain,
% 9.99/7.56 (((~v130(constB1)) | (~v154(constB1))) | v130(constB1)),
% 9.99/7.56 inference(tautology,[status(thm)],[])).
% 9.99/7.56 tff(40532,plain,
% 9.99/7.56 ((~v130(constB1)) | (~v154(constB1))),
% 9.99/7.56 inference(unit_resolution,[status(thm)],[40531, 40377])).
% 9.99/7.56 tff(40533,plain,
% 9.99/7.56 ((~(v164(constB1) <=> (~((~v130(constB1)) | (~v154(constB1)))))) | (~v164(constB1)) | (~((~v130(constB1)) | (~v154(constB1))))),
% 9.99/7.56 inference(tautology,[status(thm)],[])).
% 9.99/7.56 tff(40534,plain,
% 9.99/7.56 ((~(v164(constB1) <=> (~((~v130(constB1)) | (~v154(constB1)))))) | (~v164(constB1))),
% 9.99/7.56 inference(unit_resolution,[status(thm)],[40533, 40532])).
% 9.99/7.56 tff(40535,plain,
% 9.99/7.56 (~v164(constB1)),
% 9.99/7.56 inference(unit_resolution,[status(thm)],[40534, 40530])).
% 9.99/7.56 tff(40536,plain,
% 9.99/7.56 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB1) <=> (~((~v128(constB1)) | (~v139(constB1)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB1) <=> (~((~v128(constB1)) | (~v139(constB1))))))),
% 9.99/7.56 inference(rewrite,[status(thm)],[])).
% 9.99/7.56 tff(40537,plain,
% 9.99/7.56 ((v163(constB1) <=> (~((~v139(constB1)) | (~v128(constB1))))) <=> (v163(constB1) <=> (~((~v128(constB1)) | (~v139(constB1)))))),
% 9.99/7.56 inference(rewrite,[status(thm)],[])).
% 9.99/7.56 tff(40538,plain,
% 9.99/7.56 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB1) <=> (~((~v139(constB1)) | (~v128(constB1)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB1) <=> (~((~v128(constB1)) | (~v139(constB1))))))),
% 9.99/7.56 inference(monotonicity,[status(thm)],[40537])).
% 9.99/7.56 tff(40539,plain,
% 9.99/7.56 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB1) <=> (~((~v139(constB1)) | (~v128(constB1)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB1) <=> (~((~v128(constB1)) | (~v139(constB1))))))),
% 9.99/7.56 inference(transitivity,[status(thm)],[40538, 40536])).
% 9.99/7.56 tff(40540,plain,
% 9.99/7.56 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB1) <=> (~((~v139(constB1)) | (~v128(constB1)))))),
% 9.99/7.56 inference(quant_inst,[status(thm)],[])).
% 9.99/7.56 tff(40541,plain,
% 9.99/7.56 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB1) <=> (~((~v128(constB1)) | (~v139(constB1)))))),
% 9.99/7.56 inference(modus_ponens,[status(thm)],[40540, 40539])).
% 9.99/7.56 tff(40542,plain,
% 9.99/7.56 (v163(constB1) <=> (~((~v128(constB1)) | (~v139(constB1))))),
% 9.99/7.56 inference(unit_resolution,[status(thm)],[40541, 171])).
% 9.99/7.56 tff(40543,plain,
% 9.99/7.56 ((~![VarNext: $i] : (v128(VarNext) <=> v162(VarNext))) | (v128(constB1) <=> v162(constB1))),
% 9.99/7.56 inference(quant_inst,[status(thm)],[])).
% 9.99/7.56 tff(40544,plain,
% 9.99/7.56 (v128(constB1) <=> v162(constB1)),
% 9.99/7.56 inference(unit_resolution,[status(thm)],[40543, 13])).
% 9.99/7.56 tff(40545,plain,
% 9.99/7.56 ((~(v128(constB1) <=> v162(constB1))) | (~v128(constB1)) | v162(constB1)),
% 9.99/7.56 inference(tautology,[status(thm)],[])).
% 9.99/7.56 tff(40546,plain,
% 9.99/7.56 (~v128(constB1)),
% 9.99/7.56 inference(unit_resolution,[status(thm)],[40545, 32051, 40544])).
% 9.99/7.56 tff(40547,plain,
% 9.99/7.56 (((~v128(constB1)) | (~v139(constB1))) | v128(constB1)),
% 9.99/7.56 inference(tautology,[status(thm)],[])).
% 9.99/7.56 tff(40548,plain,
% 9.99/7.56 ((~v128(constB1)) | (~v139(constB1))),
% 9.99/7.56 inference(unit_resolution,[status(thm)],[40547, 40546])).
% 9.99/7.56 tff(40549,plain,
% 9.99/7.56 ((~(v163(constB1) <=> (~((~v128(constB1)) | (~v139(constB1)))))) | (~v163(constB1)) | (~((~v128(constB1)) | (~v139(constB1))))),
% 9.99/7.56 inference(tautology,[status(thm)],[])).
% 9.99/7.56 tff(40550,plain,
% 9.99/7.56 ((~(v163(constB1) <=> (~((~v128(constB1)) | (~v139(constB1)))))) | (~v163(constB1))),
% 9.99/7.56 inference(unit_resolution,[status(thm)],[40549, 40548])).
% 9.99/7.56 tff(40551,plain,
% 9.99/7.56 (~v163(constB1)),
% 9.99/7.56 inference(unit_resolution,[status(thm)],[40550, 40542])).
% 9.99/7.56 tff(40552,plain,
% 9.99/7.56 ((~(v163(constB1) | v164(constB1))) | v163(constB1) | v164(constB1)),
% 9.99/7.56 inference(tautology,[status(thm)],[])).
% 9.99/7.56 tff(40553,plain,
% 9.99/7.56 (~(v163(constB1) | v164(constB1))),
% 9.99/7.56 inference(unit_resolution,[status(thm)],[40552, 40551, 40535])).
% 9.99/7.56 tff(40554,plain,
% 9.99/7.56 ((~(v160(constB1) <=> (v163(constB1) | v164(constB1)))) | (~v160(constB1)) | (v163(constB1) | v164(constB1))),
% 9.99/7.56 inference(tautology,[status(thm)],[])).
% 9.99/7.56 tff(40555,plain,
% 9.99/7.56 (~v160(constB1)),
% 9.99/7.56 inference(unit_resolution,[status(thm)],[40554, 40553, 40523])).
% 9.99/7.56 tff(40556,plain,
% 9.99/7.56 ((~(v162(constB2) <=> v160(constB1))) | (~v162(constB2)) | v160(constB1)),
% 9.99/7.56 inference(tautology,[status(thm)],[])).
% 9.99/7.56 tff(40557,plain,
% 9.99/7.56 (~v162(constB2)),
% 9.99/7.56 inference(unit_resolution,[status(thm)],[40556, 40555, 40521])).
% 9.99/7.56 tff(40558,plain,
% 9.99/7.56 ((~(v128(constB2) <=> v162(constB2))) | (~v128(constB2)) | v162(constB2)),
% 9.99/7.56 inference(tautology,[status(thm)],[])).
% 9.99/7.56 tff(40559,plain,
% 9.99/7.56 (~v128(constB2)),
% 9.99/7.56 inference(unit_resolution,[status(thm)],[40558, 40557, 40517])).
% 9.99/7.56 tff(40560,plain,
% 9.99/7.56 (((~v128(constB2)) | (~v139(constB2))) | v128(constB2)),
% 9.99/7.56 inference(tautology,[status(thm)],[])).
% 9.99/7.56 tff(40561,plain,
% 9.99/7.56 ((~v128(constB2)) | (~v139(constB2))),
% 9.99/7.56 inference(unit_resolution,[status(thm)],[40560, 40559])).
% 9.99/7.56 tff(40562,plain,
% 9.99/7.56 ((~(v163(constB2) <=> (~((~v128(constB2)) | (~v139(constB2)))))) | (~v163(constB2)) | (~((~v128(constB2)) | (~v139(constB2))))),
% 9.99/7.56 inference(tautology,[status(thm)],[])).
% 9.99/7.56 tff(40563,plain,
% 9.99/7.56 (~v163(constB2)),
% 9.99/7.56 inference(unit_resolution,[status(thm)],[40562, 40561, 40515])).
% 9.99/7.56 tff(40564,plain,
% 9.99/7.56 ((~(v163(constB2) | v164(constB2))) | v163(constB2) | v164(constB2)),
% 9.99/7.56 inference(tautology,[status(thm)],[])).
% 9.99/7.56 tff(40565,plain,
% 9.99/7.56 (~(v163(constB2) | v164(constB2))),
% 9.99/7.56 inference(unit_resolution,[status(thm)],[40564, 40563, 40508])).
% 9.99/7.56 tff(40566,plain,
% 9.99/7.56 ((~(v160(constB2) <=> (v163(constB2) | v164(constB2)))) | (~v160(constB2)) | (v163(constB2) | v164(constB2))),
% 9.99/7.56 inference(tautology,[status(thm)],[])).
% 9.99/7.56 tff(40567,plain,
% 9.99/7.56 (~v160(constB2)),
% 9.99/7.56 inference(unit_resolution,[status(thm)],[40566, 40565, 40497])).
% 9.99/7.56 tff(40568,plain,
% 9.99/7.56 ((~(v162(constB3) <=> v160(constB2))) | (~v162(constB3)) | v160(constB2)),
% 9.99/7.56 inference(tautology,[status(thm)],[])).
% 9.99/7.56 tff(40569,plain,
% 9.99/7.56 (~v162(constB3)),
% 9.99/7.56 inference(unit_resolution,[status(thm)],[40568, 40567, 40495])).
% 9.99/7.56 tff(40570,plain,
% 9.99/7.56 ((~(v128(constB3) <=> v162(constB3))) | (~v128(constB3)) | v162(constB3)),
% 9.99/7.56 inference(tautology,[status(thm)],[])).
% 9.99/7.56 tff(40571,plain,
% 9.99/7.56 (~v128(constB3)),
% 9.99/7.56 inference(unit_resolution,[status(thm)],[40570, 40569, 40491])).
% 9.99/7.56 tff(40572,plain,
% 9.99/7.56 (((~v128(constB3)) | (~v139(constB3))) | v128(constB3)),
% 9.99/7.56 inference(tautology,[status(thm)],[])).
% 9.99/7.56 tff(40573,plain,
% 9.99/7.56 ((~v128(constB3)) | (~v139(constB3))),
% 9.99/7.56 inference(unit_resolution,[status(thm)],[40572, 40571])).
% 9.99/7.56 tff(40574,plain,
% 9.99/7.56 ((~(v163(constB3) <=> (~((~v128(constB3)) | (~v139(constB3)))))) | (~v163(constB3)) | (~((~v128(constB3)) | (~v139(constB3))))),
% 9.99/7.56 inference(tautology,[status(thm)],[])).
% 9.99/7.56 tff(40575,plain,
% 9.99/7.56 (~v163(constB3)),
% 9.99/7.56 inference(unit_resolution,[status(thm)],[40574, 40573, 40489])).
% 9.99/7.56 tff(40576,plain,
% 9.99/7.56 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB3) <=> (~((~v130(constB3)) | (~v154(constB3)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB3) <=> (~((~v130(constB3)) | (~v154(constB3))))))),
% 9.99/7.56 inference(rewrite,[status(thm)],[])).
% 9.99/7.56 tff(40577,plain,
% 9.99/7.56 ((v164(constB3) <=> (~((~v154(constB3)) | (~v130(constB3))))) <=> (v164(constB3) <=> (~((~v130(constB3)) | (~v154(constB3)))))),
% 9.99/7.56 inference(rewrite,[status(thm)],[])).
% 9.99/7.56 tff(40578,plain,
% 9.99/7.56 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB3) <=> (~((~v154(constB3)) | (~v130(constB3)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB3) <=> (~((~v130(constB3)) | (~v154(constB3))))))),
% 9.99/7.56 inference(monotonicity,[status(thm)],[40577])).
% 9.99/7.56 tff(40579,plain,
% 9.99/7.56 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB3) <=> (~((~v154(constB3)) | (~v130(constB3)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB3) <=> (~((~v130(constB3)) | (~v154(constB3))))))),
% 9.99/7.56 inference(transitivity,[status(thm)],[40578, 40576])).
% 9.99/7.56 tff(40580,plain,
% 9.99/7.56 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB3) <=> (~((~v154(constB3)) | (~v130(constB3)))))),
% 9.99/7.56 inference(quant_inst,[status(thm)],[])).
% 9.99/7.56 tff(40581,plain,
% 9.99/7.56 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB3) <=> (~((~v130(constB3)) | (~v154(constB3)))))),
% 9.99/7.56 inference(modus_ponens,[status(thm)],[40580, 40579])).
% 9.99/7.56 tff(40582,plain,
% 9.99/7.56 (v164(constB3) <=> (~((~v130(constB3)) | (~v154(constB3))))),
% 9.99/7.56 inference(unit_resolution,[status(thm)],[40581, 96])).
% 9.99/7.56 tff(40583,plain,
% 9.99/7.56 (((~v130(constB3)) | (~v154(constB3))) | v130(constB3)),
% 9.99/7.56 inference(tautology,[status(thm)],[])).
% 9.99/7.56 tff(40584,plain,
% 9.99/7.56 ((~v130(constB3)) | (~v154(constB3))),
% 9.99/7.56 inference(unit_resolution,[status(thm)],[40583, 40413])).
% 9.99/7.56 tff(40585,plain,
% 9.99/7.56 ((~(v164(constB3) <=> (~((~v130(constB3)) | (~v154(constB3)))))) | (~v164(constB3)) | (~((~v130(constB3)) | (~v154(constB3))))),
% 9.99/7.56 inference(tautology,[status(thm)],[])).
% 9.99/7.56 tff(40586,plain,
% 9.99/7.56 (~v164(constB3)),
% 9.99/7.56 inference(unit_resolution,[status(thm)],[40585, 40584, 40582])).
% 9.99/7.56 tff(40587,plain,
% 9.99/7.56 ((~(v163(constB3) | v164(constB3))) | v163(constB3) | v164(constB3)),
% 9.99/7.56 inference(tautology,[status(thm)],[])).
% 9.99/7.56 tff(40588,plain,
% 9.99/7.56 (~(v163(constB3) | v164(constB3))),
% 9.99/7.56 inference(unit_resolution,[status(thm)],[40587, 40586, 40575])).
% 9.99/7.56 tff(40589,plain,
% 9.99/7.56 ((~(v160(constB3) <=> (v163(constB3) | v164(constB3)))) | (~v160(constB3)) | (v163(constB3) | v164(constB3))),
% 9.99/7.56 inference(tautology,[status(thm)],[])).
% 9.99/7.56 tff(40590,plain,
% 9.99/7.56 (~v160(constB3)),
% 9.99/7.56 inference(unit_resolution,[status(thm)],[40589, 40588, 40482])).
% 9.99/7.56 tff(40591,plain,
% 9.99/7.56 ((~(v162(constB4) <=> v160(constB3))) | (~v162(constB4)) | v160(constB3)),
% 9.99/7.56 inference(tautology,[status(thm)],[])).
% 9.99/7.56 tff(40592,plain,
% 9.99/7.56 (~v162(constB4)),
% 9.99/7.56 inference(unit_resolution,[status(thm)],[40591, 40590, 40480])).
% 9.99/7.56 tff(40593,plain,
% 9.99/7.56 ((~(v128(constB4) <=> v162(constB4))) | (~v128(constB4)) | v162(constB4)),
% 9.99/7.56 inference(tautology,[status(thm)],[])).
% 9.99/7.56 tff(40594,plain,
% 9.99/7.56 (~v128(constB4)),
% 9.99/7.56 inference(unit_resolution,[status(thm)],[40593, 40592, 40476])).
% 9.99/7.56 tff(40595,plain,
% 9.99/7.56 (((~v128(constB4)) | (~v139(constB4))) | v128(constB4)),
% 9.99/7.56 inference(tautology,[status(thm)],[])).
% 9.99/7.56 tff(40596,plain,
% 9.99/7.56 ((~v128(constB4)) | (~v139(constB4))),
% 9.99/7.56 inference(unit_resolution,[status(thm)],[40595, 40594])).
% 9.99/7.56 tff(40597,plain,
% 9.99/7.56 ((~(v163(constB4) <=> (~((~v128(constB4)) | (~v139(constB4)))))) | (~v163(constB4)) | (~((~v128(constB4)) | (~v139(constB4))))),
% 9.99/7.56 inference(tautology,[status(thm)],[])).
% 9.99/7.56 tff(40598,plain,
% 9.99/7.56 (~v163(constB4)),
% 9.99/7.56 inference(unit_resolution,[status(thm)],[40597, 40596, 40474])).
% 9.99/7.56 tff(40599,plain,
% 9.99/7.56 ((~(v163(constB4) | v164(constB4))) | v163(constB4) | v164(constB4)),
% 9.99/7.56 inference(tautology,[status(thm)],[])).
% 9.99/7.56 tff(40600,plain,
% 9.99/7.56 (~(v163(constB4) | v164(constB4))),
% 9.99/7.56 inference(unit_resolution,[status(thm)],[40599, 40598, 40467])).
% 9.99/7.56 tff(40601,plain,
% 9.99/7.56 ((~(v160(constB4) <=> (v163(constB4) | v164(constB4)))) | (~v160(constB4)) | (v163(constB4) | v164(constB4))),
% 9.99/7.56 inference(tautology,[status(thm)],[])).
% 9.99/7.56 tff(40602,plain,
% 9.99/7.56 (~v160(constB4)),
% 9.99/7.56 inference(unit_resolution,[status(thm)],[40601, 40600, 40456])).
% 9.99/7.56 tff(40603,plain,
% 9.99/7.56 ((~(v162(constB5) <=> v160(constB4))) | (~v162(constB5)) | v160(constB4)),
% 9.99/7.56 inference(tautology,[status(thm)],[])).
% 9.99/7.56 tff(40604,plain,
% 9.99/7.56 (~v162(constB5)),
% 9.99/7.56 inference(unit_resolution,[status(thm)],[40603, 40602, 40454])).
% 9.99/7.56 tff(40605,plain,
% 9.99/7.56 ((~(v128(constB5) <=> v162(constB5))) | (~v128(constB5)) | v162(constB5)),
% 9.99/7.56 inference(tautology,[status(thm)],[])).
% 9.99/7.56 tff(40606,plain,
% 9.99/7.56 (~v128(constB5)),
% 9.99/7.56 inference(unit_resolution,[status(thm)],[40605, 40604, 40450])).
% 9.99/7.56 tff(40607,plain,
% 9.99/7.56 (((~v128(constB5)) | (~v139(constB5))) | v128(constB5)),
% 9.99/7.56 inference(tautology,[status(thm)],[])).
% 9.99/7.56 tff(40608,plain,
% 9.99/7.56 ((~v128(constB5)) | (~v139(constB5))),
% 9.99/7.56 inference(unit_resolution,[status(thm)],[40607, 40606])).
% 9.99/7.56 tff(40609,plain,
% 9.99/7.56 ((~(v163(constB5) <=> (~((~v128(constB5)) | (~v139(constB5)))))) | (~v163(constB5)) | (~((~v128(constB5)) | (~v139(constB5))))),
% 9.99/7.56 inference(tautology,[status(thm)],[])).
% 9.99/7.56 tff(40610,plain,
% 9.99/7.56 (~v163(constB5)),
% 9.99/7.56 inference(unit_resolution,[status(thm)],[40609, 40608, 40448])).
% 9.99/7.56 tff(40611,plain,
% 9.99/7.56 ((~(v163(constB5) | v164(constB5))) | v163(constB5) | v164(constB5)),
% 9.99/7.56 inference(tautology,[status(thm)],[])).
% 9.99/7.56 tff(40612,plain,
% 9.99/7.56 (~(v163(constB5) | v164(constB5))),
% 9.99/7.56 inference(unit_resolution,[status(thm)],[40611, 40610, 40441])).
% 9.99/7.57 tff(40613,plain,
% 9.99/7.57 ((~(v160(constB5) <=> (v163(constB5) | v164(constB5)))) | (~v160(constB5)) | (v163(constB5) | v164(constB5))),
% 9.99/7.57 inference(tautology,[status(thm)],[])).
% 9.99/7.57 tff(40614,plain,
% 9.99/7.57 (~v160(constB5)),
% 9.99/7.57 inference(unit_resolution,[status(thm)],[40613, 40612, 40039])).
% 9.99/7.57 tff(40615,plain,
% 9.99/7.57 ((~(v162(constB6) <=> v160(constB5))) | (~v162(constB6)) | v160(constB5)),
% 9.99/7.57 inference(tautology,[status(thm)],[])).
% 9.99/7.57 tff(40616,plain,
% 9.99/7.57 (~v162(constB6)),
% 9.99/7.57 inference(unit_resolution,[status(thm)],[40615, 40614, 40037])).
% 9.99/7.57 tff(40617,plain,
% 9.99/7.57 ((~(v128(constB6) <=> v162(constB6))) | (~v128(constB6)) | v162(constB6)),
% 9.99/7.57 inference(tautology,[status(thm)],[])).
% 9.99/7.57 tff(40618,plain,
% 9.99/7.57 (~v128(constB6)),
% 9.99/7.57 inference(unit_resolution,[status(thm)],[40617, 40616, 40033])).
% 9.99/7.57 tff(40619,plain,
% 9.99/7.57 (((~v128(constB6)) | (~v139(constB6))) | v128(constB6)),
% 9.99/7.57 inference(tautology,[status(thm)],[])).
% 9.99/7.57 tff(40620,plain,
% 9.99/7.57 ((~v128(constB6)) | (~v139(constB6))),
% 9.99/7.57 inference(unit_resolution,[status(thm)],[40619, 40618])).
% 9.99/7.57 tff(40621,plain,
% 9.99/7.57 ((~(v163(constB6) <=> (~((~v128(constB6)) | (~v139(constB6)))))) | (~v163(constB6)) | (~((~v128(constB6)) | (~v139(constB6))))),
% 9.99/7.57 inference(tautology,[status(thm)],[])).
% 9.99/7.57 tff(40622,plain,
% 9.99/7.57 (~v163(constB6)),
% 9.99/7.57 inference(unit_resolution,[status(thm)],[40621, 40620, 40031])).
% 9.99/7.57 tff(40623,plain,
% 9.99/7.57 ((~(v163(constB6) | v164(constB6))) | v163(constB6) | v164(constB6)),
% 9.99/7.57 inference(tautology,[status(thm)],[])).
% 9.99/7.57 tff(40624,plain,
% 9.99/7.57 (~(v163(constB6) | v164(constB6))),
% 9.99/7.57 inference(unit_resolution,[status(thm)],[40623, 40622, 40024])).
% 9.99/7.57 tff(40625,plain,
% 9.99/7.57 ((~(v160(constB6) <=> (v163(constB6) | v164(constB6)))) | (~v160(constB6)) | (v163(constB6) | v164(constB6))),
% 9.99/7.57 inference(tautology,[status(thm)],[])).
% 9.99/7.57 tff(40626,plain,
% 9.99/7.57 (~v160(constB6)),
% 9.99/7.57 inference(unit_resolution,[status(thm)],[40625, 40624, 40001])).
% 9.99/7.57 tff(40627,plain,
% 9.99/7.57 ((~(v162(constB7) <=> v160(constB6))) | (~v162(constB7)) | v160(constB6)),
% 9.99/7.57 inference(tautology,[status(thm)],[])).
% 9.99/7.57 tff(40628,plain,
% 9.99/7.57 (~v162(constB7)),
% 9.99/7.57 inference(unit_resolution,[status(thm)],[40627, 40626, 39999])).
% 9.99/7.57 tff(40629,plain,
% 9.99/7.57 ($false),
% 9.99/7.57 inference(unit_resolution,[status(thm)],[40628, 39995])).
% 9.99/7.57 tff(40630,plain,(~(constB7 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.99/7.57 tff(40631,assumption,(constB149 = VarCurr!0), introduced(assumption)).
% 9.99/7.57 tff(40632,plain,
% 9.99/7.57 (v162(constB149) <=> v162(VarCurr!0)),
% 9.99/7.57 inference(monotonicity,[status(thm)],[40631])).
% 9.99/7.57 tff(40633,plain,
% 9.99/7.57 (v162(VarCurr!0) <=> v162(constB149)),
% 9.99/7.57 inference(symmetry,[status(thm)],[40632])).
% 9.99/7.57 tff(40634,plain,
% 9.99/7.57 (v162(constB149)),
% 9.99/7.57 inference(modus_ponens,[status(thm)],[59, 40633])).
% 9.99/7.57 tff(40635,plain,
% 9.99/7.57 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB148, constB149)) | (v162(constB149) <=> v160(constB148)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB148, constB149)) | (v162(constB149) <=> v160(constB148)))),
% 9.99/7.57 inference(rewrite,[status(thm)],[])).
% 9.99/7.57 tff(40636,plain,
% 9.99/7.57 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB148, constB149)) | (v162(constB149) <=> v160(constB148)))),
% 9.99/7.57 inference(quant_inst,[status(thm)],[])).
% 9.99/7.57 tff(40637,plain,
% 9.99/7.57 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB148, constB149)) | (v162(constB149) <=> v160(constB148))),
% 9.99/7.57 inference(modus_ponens,[status(thm)],[40636, 40635])).
% 9.99/7.57 tff(40638,plain,
% 9.99/7.57 (v162(constB149) <=> v160(constB148)),
% 9.99/7.57 inference(unit_resolution,[status(thm)],[40637, 2978, 70])).
% 9.99/7.57 tff(40639,plain,
% 9.99/7.57 ((~![VarCurr: $i] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB148) <=> (v163(constB148) | v164(constB148)))),
% 9.99/7.57 inference(quant_inst,[status(thm)],[])).
% 9.99/7.57 tff(40640,plain,
% 9.99/7.57 (v160(constB148) <=> (v163(constB148) | v164(constB148))),
% 9.99/7.57 inference(unit_resolution,[status(thm)],[40639, 84])).
% 9.99/7.57 tff(40641,plain,
% 9.99/7.57 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB148) <=> (~((~v130(constB148)) | (~v154(constB148)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB148) <=> (~((~v130(constB148)) | (~v154(constB148))))))),
% 9.99/7.57 inference(rewrite,[status(thm)],[])).
% 9.99/7.57 tff(40642,plain,
% 9.99/7.57 ((v164(constB148) <=> (~((~v154(constB148)) | (~v130(constB148))))) <=> (v164(constB148) <=> (~((~v130(constB148)) | (~v154(constB148)))))),
% 9.99/7.57 inference(rewrite,[status(thm)],[])).
% 9.99/7.57 tff(40643,plain,
% 9.99/7.57 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB148) <=> (~((~v154(constB148)) | (~v130(constB148)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB148) <=> (~((~v130(constB148)) | (~v154(constB148))))))),
% 9.99/7.57 inference(monotonicity,[status(thm)],[40642])).
% 9.99/7.57 tff(40644,plain,
% 9.99/7.57 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB148) <=> (~((~v154(constB148)) | (~v130(constB148)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB148) <=> (~((~v130(constB148)) | (~v154(constB148))))))),
% 9.99/7.57 inference(transitivity,[status(thm)],[40643, 40641])).
% 9.99/7.57 tff(40645,plain,
% 9.99/7.57 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB148) <=> (~((~v154(constB148)) | (~v130(constB148)))))),
% 9.99/7.57 inference(quant_inst,[status(thm)],[])).
% 9.99/7.57 tff(40646,plain,
% 9.99/7.57 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB148) <=> (~((~v130(constB148)) | (~v154(constB148)))))),
% 9.99/7.57 inference(modus_ponens,[status(thm)],[40645, 40644])).
% 9.99/7.57 tff(40647,plain,
% 9.99/7.57 (v164(constB148) <=> (~((~v130(constB148)) | (~v154(constB148))))),
% 9.99/7.57 inference(unit_resolution,[status(thm)],[40646, 96])).
% 9.99/7.57 tff(40648,plain,
% 9.99/7.57 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB148) <=> (~((~v141(constB148)) | (~v143(constB148)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB148) <=> (~((~v141(constB148)) | (~v143(constB148))))))),
% 9.99/7.57 inference(rewrite,[status(thm)],[])).
% 9.99/7.57 tff(40649,plain,
% 9.99/7.57 ((v154(constB148) <=> (~((~v143(constB148)) | (~v141(constB148))))) <=> (v154(constB148) <=> (~((~v141(constB148)) | (~v143(constB148)))))),
% 9.99/7.57 inference(rewrite,[status(thm)],[])).
% 9.99/7.57 tff(40650,plain,
% 9.99/7.57 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB148) <=> (~((~v143(constB148)) | (~v141(constB148)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB148) <=> (~((~v141(constB148)) | (~v143(constB148))))))),
% 9.99/7.57 inference(monotonicity,[status(thm)],[40649])).
% 9.99/7.57 tff(40651,plain,
% 9.99/7.57 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB148) <=> (~((~v143(constB148)) | (~v141(constB148)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB148) <=> (~((~v141(constB148)) | (~v143(constB148))))))),
% 9.99/7.57 inference(transitivity,[status(thm)],[40650, 40648])).
% 9.99/7.57 tff(40652,plain,
% 9.99/7.57 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB148) <=> (~((~v143(constB148)) | (~v141(constB148)))))),
% 9.99/7.57 inference(quant_inst,[status(thm)],[])).
% 9.99/7.57 tff(40653,plain,
% 9.99/7.57 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB148) <=> (~((~v141(constB148)) | (~v143(constB148)))))),
% 9.99/7.57 inference(modus_ponens,[status(thm)],[40652, 40651])).
% 9.99/7.57 tff(40654,plain,
% 9.99/7.57 (v154(constB148) <=> (~((~v141(constB148)) | (~v143(constB148))))),
% 9.99/7.57 inference(unit_resolution,[status(thm)],[40653, 113])).
% 9.99/7.57 tff(40655,plain,
% 9.99/7.57 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB148) <=> (~((~v39(constB148)) | (~v9(constB148)))))),
% 9.99/7.57 inference(quant_inst,[status(thm)],[])).
% 9.99/7.57 tff(40656,plain,
% 9.99/7.57 (v141(constB148) <=> (~((~v39(constB148)) | (~v9(constB148))))),
% 9.99/7.57 inference(unit_resolution,[status(thm)],[40655, 130])).
% 9.99/7.57 tff(40657,plain,
% 9.99/7.57 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB148)) <=> v1(constB148))),
% 9.99/7.57 inference(quant_inst,[status(thm)],[])).
% 9.99/7.57 tff(40658,plain,
% 9.99/7.57 ((~v39(constB148)) <=> v1(constB148)),
% 9.99/7.57 inference(unit_resolution,[status(thm)],[40657, 139])).
% 9.99/7.57 tff(40659,plain,
% 9.99/7.57 ((~((~v39(constB148)) <=> v1(constB148))) | (~v39(constB148)) | (~v1(constB148))),
% 9.99/7.57 inference(tautology,[status(thm)],[])).
% 9.99/7.57 tff(40660,plain,
% 9.99/7.57 ((~((~v39(constB148)) <=> v1(constB148))) | (~v39(constB148))),
% 9.99/7.57 inference(unit_resolution,[status(thm)],[40659, 3040])).
% 9.99/7.57 tff(40661,plain,
% 9.99/7.57 (~v39(constB148)),
% 9.99/7.57 inference(unit_resolution,[status(thm)],[40660, 40658])).
% 9.99/7.57 tff(40662,plain,
% 9.99/7.57 (((~v39(constB148)) | (~v9(constB148))) | v39(constB148)),
% 9.99/7.57 inference(tautology,[status(thm)],[])).
% 9.99/7.57 tff(40663,plain,
% 9.99/7.57 ((~v39(constB148)) | (~v9(constB148))),
% 9.99/7.57 inference(unit_resolution,[status(thm)],[40662, 40661])).
% 9.99/7.57 tff(40664,plain,
% 9.99/7.57 ((~(v141(constB148) <=> (~((~v39(constB148)) | (~v9(constB148)))))) | (~v141(constB148)) | (~((~v39(constB148)) | (~v9(constB148))))),
% 9.99/7.57 inference(tautology,[status(thm)],[])).
% 9.99/7.57 tff(40665,plain,
% 9.99/7.57 ((~(v141(constB148) <=> (~((~v39(constB148)) | (~v9(constB148)))))) | (~v141(constB148))),
% 9.99/7.57 inference(unit_resolution,[status(thm)],[40664, 40663])).
% 9.99/7.57 tff(40666,plain,
% 9.99/7.57 (~v141(constB148)),
% 9.99/7.57 inference(unit_resolution,[status(thm)],[40665, 40656])).
% 9.99/7.57 tff(40667,plain,
% 9.99/7.57 (((~v141(constB148)) | (~v143(constB148))) | v141(constB148)),
% 9.99/7.57 inference(tautology,[status(thm)],[])).
% 9.99/7.57 tff(40668,plain,
% 9.99/7.57 ((~v141(constB148)) | (~v143(constB148))),
% 9.99/7.57 inference(unit_resolution,[status(thm)],[40667, 40666])).
% 9.99/7.57 tff(40669,plain,
% 9.99/7.57 ((~(v154(constB148) <=> (~((~v141(constB148)) | (~v143(constB148)))))) | (~v154(constB148)) | (~((~v141(constB148)) | (~v143(constB148))))),
% 9.99/7.57 inference(tautology,[status(thm)],[])).
% 9.99/7.57 tff(40670,plain,
% 9.99/7.57 ((~(v154(constB148) <=> (~((~v141(constB148)) | (~v143(constB148)))))) | (~v154(constB148))),
% 9.99/7.57 inference(unit_resolution,[status(thm)],[40669, 40668])).
% 9.99/7.57 tff(40671,plain,
% 9.99/7.57 (~v154(constB148)),
% 9.99/7.57 inference(unit_resolution,[status(thm)],[40670, 40654])).
% 9.99/7.57 tff(40672,plain,
% 9.99/7.57 (((~v130(constB148)) | (~v154(constB148))) | v154(constB148)),
% 9.99/7.57 inference(tautology,[status(thm)],[])).
% 9.99/7.57 tff(40673,plain,
% 9.99/7.57 ((~v130(constB148)) | (~v154(constB148))),
% 9.99/7.57 inference(unit_resolution,[status(thm)],[40672, 40671])).
% 9.99/7.57 tff(40674,plain,
% 9.99/7.57 ((~(v164(constB148) <=> (~((~v130(constB148)) | (~v154(constB148)))))) | (~v164(constB148)) | (~((~v130(constB148)) | (~v154(constB148))))),
% 9.99/7.57 inference(tautology,[status(thm)],[])).
% 9.99/7.57 tff(40675,plain,
% 9.99/7.57 (~v164(constB148)),
% 9.99/7.57 inference(unit_resolution,[status(thm)],[40674, 40673, 40647])).
% 9.99/7.57 tff(40676,plain,
% 9.99/7.57 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB148) <=> (~((~v128(constB148)) | (~v139(constB148)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB148) <=> (~((~v128(constB148)) | (~v139(constB148))))))),
% 9.99/7.57 inference(rewrite,[status(thm)],[])).
% 9.99/7.57 tff(40677,plain,
% 9.99/7.57 ((v163(constB148) <=> (~((~v139(constB148)) | (~v128(constB148))))) <=> (v163(constB148) <=> (~((~v128(constB148)) | (~v139(constB148)))))),
% 9.99/7.57 inference(rewrite,[status(thm)],[])).
% 9.99/7.57 tff(40678,plain,
% 9.99/7.57 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB148) <=> (~((~v139(constB148)) | (~v128(constB148)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB148) <=> (~((~v128(constB148)) | (~v139(constB148))))))),
% 9.99/7.57 inference(monotonicity,[status(thm)],[40677])).
% 9.99/7.57 tff(40679,plain,
% 9.99/7.57 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB148) <=> (~((~v139(constB148)) | (~v128(constB148)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB148) <=> (~((~v128(constB148)) | (~v139(constB148))))))),
% 9.99/7.57 inference(transitivity,[status(thm)],[40678, 40676])).
% 9.99/7.57 tff(40680,plain,
% 9.99/7.57 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB148) <=> (~((~v139(constB148)) | (~v128(constB148)))))),
% 9.99/7.57 inference(quant_inst,[status(thm)],[])).
% 9.99/7.57 tff(40681,plain,
% 9.99/7.57 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB148) <=> (~((~v128(constB148)) | (~v139(constB148)))))),
% 9.99/7.57 inference(modus_ponens,[status(thm)],[40680, 40679])).
% 9.99/7.57 tff(40682,plain,
% 9.99/7.57 (v163(constB148) <=> (~((~v128(constB148)) | (~v139(constB148))))),
% 9.99/7.57 inference(unit_resolution,[status(thm)],[40681, 171])).
% 9.99/7.57 tff(40683,plain,
% 9.99/7.57 ((~![VarNext: $i] : (v128(VarNext) <=> v162(VarNext))) | (v128(constB148) <=> v162(constB148))),
% 9.99/7.57 inference(quant_inst,[status(thm)],[])).
% 9.99/7.57 tff(40684,plain,
% 9.99/7.57 (v128(constB148) <=> v162(constB148)),
% 9.99/7.57 inference(unit_resolution,[status(thm)],[40683, 13])).
% 9.99/7.57 tff(40685,plain,
% 9.99/7.57 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB147, constB148)) | (v162(constB148) <=> v160(constB147)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB147, constB148)) | (v162(constB148) <=> v160(constB147)))),
% 9.99/7.57 inference(rewrite,[status(thm)],[])).
% 9.99/7.57 tff(40686,plain,
% 9.99/7.57 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB147, constB148)) | (v162(constB148) <=> v160(constB147)))),
% 9.99/7.57 inference(quant_inst,[status(thm)],[])).
% 9.99/7.57 tff(40687,plain,
% 9.99/7.57 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB147, constB148)) | (v162(constB148) <=> v160(constB147))),
% 9.99/7.57 inference(modus_ponens,[status(thm)],[40686, 40685])).
% 9.99/7.57 tff(40688,plain,
% 9.99/7.57 (v162(constB148) <=> v160(constB147)),
% 9.99/7.57 inference(unit_resolution,[status(thm)],[40687, 3010, 70])).
% 9.99/7.57 tff(40689,plain,
% 9.99/7.57 ((~![VarCurr: $i] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB147) <=> (v163(constB147) | v164(constB147)))),
% 9.99/7.57 inference(quant_inst,[status(thm)],[])).
% 9.99/7.57 tff(40690,plain,
% 9.99/7.57 (v160(constB147) <=> (v163(constB147) | v164(constB147))),
% 9.99/7.57 inference(unit_resolution,[status(thm)],[40689, 84])).
% 9.99/7.57 tff(40691,plain,
% 9.99/7.57 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB147) <=> (~((~v128(constB147)) | (~v139(constB147)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB147) <=> (~((~v128(constB147)) | (~v139(constB147))))))),
% 9.99/7.57 inference(rewrite,[status(thm)],[])).
% 9.99/7.57 tff(40692,plain,
% 9.99/7.57 ((v163(constB147) <=> (~((~v139(constB147)) | (~v128(constB147))))) <=> (v163(constB147) <=> (~((~v128(constB147)) | (~v139(constB147)))))),
% 9.99/7.57 inference(rewrite,[status(thm)],[])).
% 9.99/7.57 tff(40693,plain,
% 9.99/7.57 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB147) <=> (~((~v139(constB147)) | (~v128(constB147)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB147) <=> (~((~v128(constB147)) | (~v139(constB147))))))),
% 9.99/7.57 inference(monotonicity,[status(thm)],[40692])).
% 9.99/7.57 tff(40694,plain,
% 9.99/7.57 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB147) <=> (~((~v139(constB147)) | (~v128(constB147)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB147) <=> (~((~v128(constB147)) | (~v139(constB147))))))),
% 9.99/7.57 inference(transitivity,[status(thm)],[40693, 40691])).
% 9.99/7.57 tff(40695,plain,
% 9.99/7.57 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB147) <=> (~((~v139(constB147)) | (~v128(constB147)))))),
% 9.99/7.57 inference(quant_inst,[status(thm)],[])).
% 9.99/7.57 tff(40696,plain,
% 9.99/7.57 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB147) <=> (~((~v128(constB147)) | (~v139(constB147)))))),
% 9.99/7.57 inference(modus_ponens,[status(thm)],[40695, 40694])).
% 9.99/7.57 tff(40697,plain,
% 9.99/7.57 (v163(constB147) <=> (~((~v128(constB147)) | (~v139(constB147))))),
% 9.99/7.57 inference(unit_resolution,[status(thm)],[40696, 171])).
% 9.99/7.57 tff(40698,plain,
% 9.99/7.57 ((~![VarCurr: $i] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB147)) <=> v140(constB147))),
% 9.99/7.57 inference(quant_inst,[status(thm)],[])).
% 9.99/7.57 tff(40699,plain,
% 9.99/7.57 ((~v139(constB147)) <=> v140(constB147)),
% 9.99/7.57 inference(unit_resolution,[status(thm)],[40698, 203])).
% 9.99/7.57 tff(40700,plain,
% 9.99/7.57 ((~![VarCurr: $i] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB147) <=> (v141(constB147) | v26(constB147)))),
% 9.99/7.57 inference(quant_inst,[status(thm)],[])).
% 9.99/7.57 tff(40701,plain,
% 9.99/7.57 (v140(constB147) <=> (v141(constB147) | v26(constB147))),
% 9.99/7.57 inference(unit_resolution,[status(thm)],[40700, 212])).
% 9.99/7.57 tff(40702,plain,
% 9.99/7.57 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB147) <=> (~((~v39(constB147)) | (~v9(constB147)))))),
% 9.99/7.57 inference(quant_inst,[status(thm)],[])).
% 9.99/7.57 tff(40703,plain,
% 9.99/7.57 (v141(constB147) <=> (~((~v39(constB147)) | (~v9(constB147))))),
% 9.99/7.57 inference(unit_resolution,[status(thm)],[40702, 130])).
% 9.99/7.57 tff(40704,plain,
% 9.99/7.57 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB147, constB148)) | (v13(constB148) <=> v9(constB147)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB147, constB148)) | (v13(constB148) <=> v9(constB147)))),
% 9.99/7.57 inference(rewrite,[status(thm)],[])).
% 9.99/7.57 tff(40705,plain,
% 9.99/7.57 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB147, constB148)) | (v13(constB148) <=> v9(constB147)))),
% 9.99/7.57 inference(quant_inst,[status(thm)],[])).
% 9.99/7.57 tff(40706,plain,
% 9.99/7.57 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB147, constB148)) | (v13(constB148) <=> v9(constB147))),
% 9.99/7.57 inference(modus_ponens,[status(thm)],[40705, 40704])).
% 9.99/7.57 tff(40707,plain,
% 9.99/7.57 (v13(constB148) <=> v9(constB147)),
% 9.99/7.57 inference(unit_resolution,[status(thm)],[40706, 3010, 226])).
% 9.99/7.57 tff(40708,plain,
% 9.99/7.57 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB148) <=> v13(constB148))),
% 9.99/7.57 inference(quant_inst,[status(thm)],[])).
% 9.99/7.57 tff(40709,plain,
% 9.99/7.57 (v6(constB148) <=> v13(constB148)),
% 9.99/7.57 inference(unit_resolution,[status(thm)],[40708, 240])).
% 9.99/7.57 tff(40710,plain,
% 9.99/7.57 ((~![VarCurr: $i] : ((~v21(VarCurr)) <=> v6(VarCurr))) | ((~v21(constB148)) <=> v6(constB148))),
% 9.99/7.57 inference(quant_inst,[status(thm)],[])).
% 9.99/7.57 tff(40711,plain,
% 9.99/7.57 ((~v21(constB148)) <=> v6(constB148)),
% 9.99/7.57 inference(unit_resolution,[status(thm)],[40710, 249])).
% 9.99/7.57 tff(40712,plain,
% 9.99/7.57 ((~![VarCurr: $i] : (v19(VarCurr) <=> (v20(VarCurr) | v21(VarCurr)))) | (v19(constB148) <=> (v20(constB148) | v21(constB148)))),
% 9.99/7.57 inference(quant_inst,[status(thm)],[])).
% 9.99/7.57 tff(40713,plain,
% 9.99/7.57 (v19(constB148) <=> (v20(constB148) | v21(constB148))),
% 9.99/7.57 inference(unit_resolution,[status(thm)],[40712, 258])).
% 9.99/7.57 tff(40714,plain,
% 9.99/7.57 ((~![VarCurr: $i] : (v18(VarCurr) <=> (~((~v19(VarCurr)) | (~v22(VarCurr)))))) | (v18(constB148) <=> (~((~v19(constB148)) | (~v22(constB148)))))),
% 9.99/7.57 inference(quant_inst,[status(thm)],[])).
% 9.99/7.57 tff(40715,plain,
% 9.99/7.57 (v18(constB148) <=> (~((~v19(constB148)) | (~v22(constB148))))),
% 9.99/7.57 inference(unit_resolution,[status(thm)],[40714, 270])).
% 9.99/7.57 tff(40716,plain,
% 9.99/7.57 ((~![VarCurr: $i] : ((~v4(VarCurr)) <=> v18(VarCurr))) | ((~v4(constB148)) <=> v18(constB148))),
% 9.99/7.57 inference(quant_inst,[status(thm)],[])).
% 9.99/7.57 tff(40717,plain,
% 9.99/7.57 ((~v4(constB148)) <=> v18(constB148)),
% 9.99/7.57 inference(unit_resolution,[status(thm)],[40716, 279])).
% 9.99/7.57 tff(40718,plain,
% 9.99/7.57 ((~![VarCurr: $i] : v4(VarCurr)) | v4(constB148)),
% 9.99/7.57 inference(quant_inst,[status(thm)],[])).
% 9.99/7.57 tff(40719,plain,
% 9.99/7.57 (v4(constB148)),
% 9.99/7.57 inference(unit_resolution,[status(thm)],[40718, 288])).
% 9.99/7.57 tff(40720,plain,
% 9.99/7.57 ((~((~v4(constB148)) <=> v18(constB148))) | (~v4(constB148)) | (~v18(constB148))),
% 9.99/7.57 inference(tautology,[status(thm)],[])).
% 9.99/7.57 tff(40721,plain,
% 9.99/7.57 (~v18(constB148)),
% 9.99/7.57 inference(unit_resolution,[status(thm)],[40720, 40719, 40717])).
% 9.99/7.57 tff(40722,plain,
% 9.99/7.57 ((~(v18(constB148) <=> (~((~v19(constB148)) | (~v22(constB148)))))) | v18(constB148) | ((~v19(constB148)) | (~v22(constB148)))),
% 9.99/7.57 inference(tautology,[status(thm)],[])).
% 9.99/7.57 tff(40723,plain,
% 9.99/7.57 ((~v19(constB148)) | (~v22(constB148))),
% 9.99/7.57 inference(unit_resolution,[status(thm)],[40722, 40721, 40715])).
% 9.99/7.57 tff(40724,plain,
% 9.99/7.57 ((~![VarCurr: $i] : (v22(VarCurr) <=> (v1(VarCurr) | v6(VarCurr)))) | (v22(constB148) <=> (v1(constB148) | v6(constB148)))),
% 9.99/7.57 inference(quant_inst,[status(thm)],[])).
% 9.99/7.57 tff(40725,plain,
% 9.99/7.57 (v22(constB148) <=> (v1(constB148) | v6(constB148))),
% 9.99/7.57 inference(unit_resolution,[status(thm)],[40724, 301])).
% 9.99/7.57 tff(40726,plain,
% 9.99/7.57 ((v1(constB148) | v6(constB148)) | (~v1(constB148))),
% 9.99/7.57 inference(tautology,[status(thm)],[])).
% 9.99/7.57 tff(40727,plain,
% 9.99/7.57 (v1(constB148) | v6(constB148)),
% 9.99/7.57 inference(unit_resolution,[status(thm)],[40726, 3040])).
% 9.99/7.57 tff(40728,plain,
% 9.99/7.57 ((~(v22(constB148) <=> (v1(constB148) | v6(constB148)))) | v22(constB148) | (~(v1(constB148) | v6(constB148)))),
% 9.99/7.57 inference(tautology,[status(thm)],[])).
% 9.99/7.57 tff(40729,plain,
% 9.99/7.57 ((~(v22(constB148) <=> (v1(constB148) | v6(constB148)))) | v22(constB148)),
% 9.99/7.57 inference(unit_resolution,[status(thm)],[40728, 40727])).
% 9.99/7.57 tff(40730,plain,
% 9.99/7.57 (v22(constB148)),
% 9.99/7.57 inference(unit_resolution,[status(thm)],[40729, 40725])).
% 9.99/7.57 tff(40731,plain,
% 9.99/7.57 ((~((~v19(constB148)) | (~v22(constB148)))) | (~v19(constB148)) | (~v22(constB148))),
% 9.99/7.57 inference(tautology,[status(thm)],[])).
% 9.99/7.57 tff(40732,plain,
% 9.99/7.57 ((~((~v19(constB148)) | (~v22(constB148)))) | (~v19(constB148))),
% 9.99/7.57 inference(unit_resolution,[status(thm)],[40731, 40730])).
% 9.99/7.57 tff(40733,plain,
% 9.99/7.57 (~v19(constB148)),
% 9.99/7.57 inference(unit_resolution,[status(thm)],[40732, 40723])).
% 9.99/7.57 tff(40734,plain,
% 9.99/7.57 ((~(v19(constB148) <=> (v20(constB148) | v21(constB148)))) | v19(constB148) | (~(v20(constB148) | v21(constB148)))),
% 9.99/7.57 inference(tautology,[status(thm)],[])).
% 9.99/7.57 tff(40735,plain,
% 9.99/7.57 (~(v20(constB148) | v21(constB148))),
% 9.99/7.57 inference(unit_resolution,[status(thm)],[40734, 40733, 40713])).
% 9.99/7.57 tff(40736,plain,
% 9.99/7.57 ((v20(constB148) | v21(constB148)) | (~v21(constB148))),
% 9.99/7.57 inference(tautology,[status(thm)],[])).
% 9.99/7.57 tff(40737,plain,
% 9.99/7.57 (~v21(constB148)),
% 9.99/7.57 inference(unit_resolution,[status(thm)],[40736, 40735])).
% 9.99/7.57 tff(40738,plain,
% 9.99/7.57 ((~((~v21(constB148)) <=> v6(constB148))) | v21(constB148) | v6(constB148)),
% 9.99/7.57 inference(tautology,[status(thm)],[])).
% 9.99/7.57 tff(40739,plain,
% 9.99/7.57 (v6(constB148)),
% 9.99/7.57 inference(unit_resolution,[status(thm)],[40738, 40737, 40711])).
% 9.99/7.57 tff(40740,plain,
% 9.99/7.57 ((~(v6(constB148) <=> v13(constB148))) | (~v6(constB148)) | v13(constB148)),
% 9.99/7.57 inference(tautology,[status(thm)],[])).
% 9.99/7.57 tff(40741,plain,
% 9.99/7.57 (v13(constB148)),
% 9.99/7.57 inference(unit_resolution,[status(thm)],[40740, 40739, 40709])).
% 9.99/7.57 tff(40742,plain,
% 9.99/7.57 ((~(v13(constB148) <=> v9(constB147))) | (~v13(constB148)) | v9(constB147)),
% 9.99/7.57 inference(tautology,[status(thm)],[])).
% 9.99/7.57 tff(40743,plain,
% 9.99/7.57 (v9(constB147)),
% 9.99/7.57 inference(unit_resolution,[status(thm)],[40742, 40741, 40707])).
% 9.99/7.57 tff(40744,plain,
% 9.99/7.57 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB147)) <=> v1(constB147))),
% 9.99/7.57 inference(quant_inst,[status(thm)],[])).
% 9.99/7.57 tff(40745,plain,
% 9.99/7.57 ((~v39(constB147)) <=> v1(constB147)),
% 9.99/7.57 inference(unit_resolution,[status(thm)],[40744, 139])).
% 9.99/7.57 tff(40746,plain,
% 9.99/7.57 ((~((~v39(constB147)) <=> v1(constB147))) | v39(constB147) | v1(constB147)),
% 9.99/7.57 inference(tautology,[status(thm)],[])).
% 9.99/7.57 tff(40747,plain,
% 9.99/7.57 ((~((~v39(constB147)) <=> v1(constB147))) | v39(constB147)),
% 9.99/7.57 inference(unit_resolution,[status(thm)],[40746, 3032])).
% 9.99/7.57 tff(40748,plain,
% 9.99/7.57 (v39(constB147)),
% 9.99/7.57 inference(unit_resolution,[status(thm)],[40747, 40745])).
% 9.99/7.57 tff(40749,plain,
% 9.99/7.57 ((~((~v39(constB147)) | (~v9(constB147)))) | (~v39(constB147)) | (~v9(constB147))),
% 9.99/7.57 inference(tautology,[status(thm)],[])).
% 9.99/7.57 tff(40750,plain,
% 9.99/7.57 ((~((~v39(constB147)) | (~v9(constB147)))) | (~v9(constB147))),
% 9.99/7.57 inference(unit_resolution,[status(thm)],[40749, 40748])).
% 9.99/7.57 tff(40751,plain,
% 9.99/7.57 (~((~v39(constB147)) | (~v9(constB147)))),
% 9.99/7.57 inference(unit_resolution,[status(thm)],[40750, 40743])).
% 9.99/7.57 tff(40752,plain,
% 9.99/7.57 ((~(v141(constB147) <=> (~((~v39(constB147)) | (~v9(constB147)))))) | v141(constB147) | ((~v39(constB147)) | (~v9(constB147)))),
% 9.99/7.57 inference(tautology,[status(thm)],[])).
% 9.99/7.57 tff(40753,plain,
% 9.99/7.57 (v141(constB147)),
% 9.99/7.57 inference(unit_resolution,[status(thm)],[40752, 40751, 40703])).
% 9.99/7.57 tff(40754,plain,
% 9.99/7.57 ((v141(constB147) | v26(constB147)) | (~v141(constB147))),
% 9.99/7.57 inference(tautology,[status(thm)],[])).
% 9.99/7.57 tff(40755,plain,
% 9.99/7.57 (v141(constB147) | v26(constB147)),
% 9.99/7.57 inference(unit_resolution,[status(thm)],[40754, 40753])).
% 9.99/7.57 tff(40756,plain,
% 9.99/7.57 ((~(v140(constB147) <=> (v141(constB147) | v26(constB147)))) | v140(constB147) | (~(v141(constB147) | v26(constB147)))),
% 9.99/7.57 inference(tautology,[status(thm)],[])).
% 9.99/7.57 tff(40757,plain,
% 9.99/7.57 (v140(constB147)),
% 9.99/7.57 inference(unit_resolution,[status(thm)],[40756, 40755, 40701])).
% 9.99/7.57 tff(40758,plain,
% 9.99/7.57 ((~((~v139(constB147)) <=> v140(constB147))) | (~v139(constB147)) | (~v140(constB147))),
% 9.99/7.57 inference(tautology,[status(thm)],[])).
% 9.99/7.57 tff(40759,plain,
% 9.99/7.57 (~v139(constB147)),
% 9.99/7.57 inference(unit_resolution,[status(thm)],[40758, 40757, 40699])).
% 9.99/7.57 tff(40760,plain,
% 9.99/7.57 (((~v128(constB147)) | (~v139(constB147))) | v139(constB147)),
% 9.99/7.57 inference(tautology,[status(thm)],[])).
% 9.99/7.57 tff(40761,plain,
% 9.99/7.57 ((~v128(constB147)) | (~v139(constB147))),
% 9.99/7.57 inference(unit_resolution,[status(thm)],[40760, 40759])).
% 9.99/7.57 tff(40762,plain,
% 9.99/7.57 ((~(v163(constB147) <=> (~((~v128(constB147)) | (~v139(constB147)))))) | (~v163(constB147)) | (~((~v128(constB147)) | (~v139(constB147))))),
% 9.99/7.57 inference(tautology,[status(thm)],[])).
% 9.99/7.57 tff(40763,plain,
% 9.99/7.57 (~v163(constB147)),
% 9.99/7.57 inference(unit_resolution,[status(thm)],[40762, 40761, 40697])).
% 9.99/7.57 tff(40764,plain,
% 9.99/7.57 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB147) <=> (~((~v130(constB147)) | (~v154(constB147)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB147) <=> (~((~v130(constB147)) | (~v154(constB147))))))),
% 9.99/7.57 inference(rewrite,[status(thm)],[])).
% 9.99/7.57 tff(40765,plain,
% 9.99/7.57 ((v164(constB147) <=> (~((~v154(constB147)) | (~v130(constB147))))) <=> (v164(constB147) <=> (~((~v130(constB147)) | (~v154(constB147)))))),
% 9.99/7.57 inference(rewrite,[status(thm)],[])).
% 9.99/7.57 tff(40766,plain,
% 9.99/7.57 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB147) <=> (~((~v154(constB147)) | (~v130(constB147)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB147) <=> (~((~v130(constB147)) | (~v154(constB147))))))),
% 9.99/7.57 inference(monotonicity,[status(thm)],[40765])).
% 9.99/7.57 tff(40767,plain,
% 9.99/7.57 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB147) <=> (~((~v154(constB147)) | (~v130(constB147)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB147) <=> (~((~v130(constB147)) | (~v154(constB147))))))),
% 9.99/7.57 inference(transitivity,[status(thm)],[40766, 40764])).
% 9.99/7.57 tff(40768,plain,
% 9.99/7.57 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB147) <=> (~((~v154(constB147)) | (~v130(constB147)))))),
% 9.99/7.57 inference(quant_inst,[status(thm)],[])).
% 9.99/7.57 tff(40769,plain,
% 9.99/7.57 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB147) <=> (~((~v130(constB147)) | (~v154(constB147)))))),
% 9.99/7.57 inference(modus_ponens,[status(thm)],[40768, 40767])).
% 9.99/7.57 tff(40770,plain,
% 9.99/7.57 (v164(constB147) <=> (~((~v130(constB147)) | (~v154(constB147))))),
% 9.99/7.57 inference(unit_resolution,[status(thm)],[40769, 96])).
% 9.99/7.57 tff(40771,plain,
% 9.99/7.57 ((~![VarNext: $i] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB147) <=> v152(constB147))),
% 9.99/7.57 inference(quant_inst,[status(thm)],[])).
% 9.99/7.57 tff(40772,plain,
% 9.99/7.57 (v130(constB147) <=> v152(constB147)),
% 9.99/7.57 inference(unit_resolution,[status(thm)],[40771, 361])).
% 9.99/7.57 tff(40773,plain,
% 9.99/7.57 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB146, constB147)) | (v152(constB147) <=> v150(constB146)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB146, constB147)) | (v152(constB147) <=> v150(constB146)))),
% 9.99/7.57 inference(rewrite,[status(thm)],[])).
% 9.99/7.57 tff(40774,plain,
% 9.99/7.57 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB146, constB147)) | (v152(constB147) <=> v150(constB146)))),
% 9.99/7.57 inference(quant_inst,[status(thm)],[])).
% 9.99/7.57 tff(40775,plain,
% 9.99/7.57 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB146, constB147)) | (v152(constB147) <=> v150(constB146))),
% 9.99/7.57 inference(modus_ponens,[status(thm)],[40774, 40773])).
% 9.99/7.57 tff(40776,plain,
% 9.99/7.57 (v152(constB147) <=> v150(constB146)),
% 9.99/7.57 inference(unit_resolution,[status(thm)],[40775, 3075, 373])).
% 9.99/7.57 tff(40777,plain,
% 9.99/7.57 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v153(VarCurr) | v155(VarCurr)))) | (v150(constB146) <=> (v153(constB146) | v155(constB146)))),
% 9.99/7.57 inference(quant_inst,[status(thm)],[])).
% 9.99/7.57 tff(40778,plain,
% 9.99/7.57 (v150(constB146) <=> (v153(constB146) | v155(constB146))),
% 9.99/7.57 inference(unit_resolution,[status(thm)],[40777, 387])).
% 9.99/7.57 tff(40779,plain,
% 9.99/7.57 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB146) <=> (~((~v132(constB146)) | (~v154(constB146)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB146) <=> (~((~v132(constB146)) | (~v154(constB146))))))),
% 9.99/7.57 inference(rewrite,[status(thm)],[])).
% 9.99/7.57 tff(40780,plain,
% 9.99/7.57 ((v153(constB146) <=> (~((~v154(constB146)) | (~v132(constB146))))) <=> (v153(constB146) <=> (~((~v132(constB146)) | (~v154(constB146)))))),
% 9.99/7.57 inference(rewrite,[status(thm)],[])).
% 9.99/7.57 tff(40781,plain,
% 9.99/7.57 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB146) <=> (~((~v154(constB146)) | (~v132(constB146)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB146) <=> (~((~v132(constB146)) | (~v154(constB146))))))),
% 9.99/7.57 inference(monotonicity,[status(thm)],[40780])).
% 9.99/7.57 tff(40782,plain,
% 9.99/7.57 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB146) <=> (~((~v154(constB146)) | (~v132(constB146)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB146) <=> (~((~v132(constB146)) | (~v154(constB146))))))),
% 9.99/7.57 inference(transitivity,[status(thm)],[40781, 40779])).
% 9.99/7.57 tff(40783,plain,
% 9.99/7.57 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB146) <=> (~((~v154(constB146)) | (~v132(constB146)))))),
% 9.99/7.57 inference(quant_inst,[status(thm)],[])).
% 9.99/7.57 tff(40784,plain,
% 9.99/7.57 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB146) <=> (~((~v132(constB146)) | (~v154(constB146)))))),
% 9.99/7.57 inference(modus_ponens,[status(thm)],[40783, 40782])).
% 9.99/7.57 tff(40785,plain,
% 9.99/7.57 (v153(constB146) <=> (~((~v132(constB146)) | (~v154(constB146))))),
% 9.99/7.57 inference(unit_resolution,[status(thm)],[40784, 399])).
% 9.99/7.57 tff(40786,plain,
% 9.99/7.57 (((~v132(constB146)) | (~v154(constB146))) | v154(constB146)),
% 9.99/7.57 inference(tautology,[status(thm)],[])).
% 9.99/7.57 tff(40787,plain,
% 9.99/7.57 ((~v132(constB146)) | (~v154(constB146))),
% 9.99/7.57 inference(unit_resolution,[status(thm)],[40786, 35180])).
% 9.99/7.57 tff(40788,plain,
% 9.99/7.57 ((~(v153(constB146) <=> (~((~v132(constB146)) | (~v154(constB146)))))) | (~v153(constB146)) | (~((~v132(constB146)) | (~v154(constB146))))),
% 9.99/7.57 inference(tautology,[status(thm)],[])).
% 9.99/7.57 tff(40789,plain,
% 9.99/7.57 (~v153(constB146)),
% 9.99/7.57 inference(unit_resolution,[status(thm)],[40788, 40787, 40785])).
% 9.99/7.57 tff(40790,plain,
% 9.99/7.57 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB146) <=> (~((~v130(constB146)) | (~v139(constB146)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB146) <=> (~((~v130(constB146)) | (~v139(constB146))))))),
% 9.99/7.57 inference(rewrite,[status(thm)],[])).
% 9.99/7.57 tff(40791,plain,
% 9.99/7.57 ((v155(constB146) <=> (~((~v139(constB146)) | (~v130(constB146))))) <=> (v155(constB146) <=> (~((~v130(constB146)) | (~v139(constB146)))))),
% 9.99/7.57 inference(rewrite,[status(thm)],[])).
% 9.99/7.57 tff(40792,plain,
% 9.99/7.57 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB146) <=> (~((~v139(constB146)) | (~v130(constB146)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB146) <=> (~((~v130(constB146)) | (~v139(constB146))))))),
% 9.99/7.57 inference(monotonicity,[status(thm)],[40791])).
% 9.99/7.57 tff(40793,plain,
% 9.99/7.57 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB146) <=> (~((~v139(constB146)) | (~v130(constB146)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB146) <=> (~((~v130(constB146)) | (~v139(constB146))))))),
% 9.99/7.57 inference(transitivity,[status(thm)],[40792, 40790])).
% 9.99/7.57 tff(40794,plain,
% 9.99/7.57 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB146) <=> (~((~v139(constB146)) | (~v130(constB146)))))),
% 9.99/7.57 inference(quant_inst,[status(thm)],[])).
% 9.99/7.57 tff(40795,plain,
% 9.99/7.57 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB146) <=> (~((~v130(constB146)) | (~v139(constB146)))))),
% 9.99/7.57 inference(modus_ponens,[status(thm)],[40794, 40793])).
% 9.99/7.57 tff(40796,plain,
% 9.99/7.57 (v155(constB146) <=> (~((~v130(constB146)) | (~v139(constB146))))),
% 9.99/7.57 inference(unit_resolution,[status(thm)],[40795, 447])).
% 9.99/7.57 tff(40797,plain,
% 9.99/7.57 ((~![VarNext: $i] : (v130(VarNext) <=> v152(VarNext))) | (v130(constB146) <=> v152(constB146))),
% 9.99/7.57 inference(quant_inst,[status(thm)],[])).
% 9.99/7.57 tff(40798,plain,
% 9.99/7.57 (v130(constB146) <=> v152(constB146)),
% 9.99/7.57 inference(unit_resolution,[status(thm)],[40797, 361])).
% 9.99/7.57 tff(40799,plain,
% 9.99/7.57 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB145, constB146)) | (v152(constB146) <=> v150(constB145)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB145, constB146)) | (v152(constB146) <=> v150(constB145)))),
% 9.99/7.57 inference(rewrite,[status(thm)],[])).
% 9.99/7.57 tff(40800,plain,
% 9.99/7.57 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | ((~nextState(constB145, constB146)) | (v152(constB146) <=> v150(constB145)))),
% 9.99/7.57 inference(quant_inst,[status(thm)],[])).
% 9.99/7.57 tff(40801,plain,
% 9.99/7.57 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v152(VarNext) <=> v150(VarCurr)))) | (~nextState(constB145, constB146)) | (v152(constB146) <=> v150(constB145))),
% 9.99/7.57 inference(modus_ponens,[status(thm)],[40800, 40799])).
% 9.99/7.57 tff(40802,plain,
% 9.99/7.57 (v152(constB146) <=> v150(constB145)),
% 9.99/7.57 inference(unit_resolution,[status(thm)],[40801, 3107, 373])).
% 9.99/7.57 tff(40803,plain,
% 9.99/7.57 ((~![VarCurr: $i] : (v150(VarCurr) <=> (v153(VarCurr) | v155(VarCurr)))) | (v150(constB145) <=> (v153(constB145) | v155(constB145)))),
% 9.99/7.57 inference(quant_inst,[status(thm)],[])).
% 9.99/7.57 tff(40804,plain,
% 9.99/7.57 (v150(constB145) <=> (v153(constB145) | v155(constB145))),
% 9.99/7.57 inference(unit_resolution,[status(thm)],[40803, 387])).
% 9.99/7.57 tff(40805,plain,
% 9.99/7.57 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB145) <=> (~((~v130(constB145)) | (~v139(constB145)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB145) <=> (~((~v130(constB145)) | (~v139(constB145))))))),
% 9.99/7.57 inference(rewrite,[status(thm)],[])).
% 9.99/7.57 tff(40806,plain,
% 9.99/7.57 ((v155(constB145) <=> (~((~v139(constB145)) | (~v130(constB145))))) <=> (v155(constB145) <=> (~((~v130(constB145)) | (~v139(constB145)))))),
% 9.99/7.57 inference(rewrite,[status(thm)],[])).
% 9.99/7.57 tff(40807,plain,
% 9.99/7.57 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB145) <=> (~((~v139(constB145)) | (~v130(constB145)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB145) <=> (~((~v130(constB145)) | (~v139(constB145))))))),
% 9.99/7.57 inference(monotonicity,[status(thm)],[40806])).
% 9.99/7.57 tff(40808,plain,
% 9.99/7.57 (((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB145) <=> (~((~v139(constB145)) | (~v130(constB145)))))) <=> ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB145) <=> (~((~v130(constB145)) | (~v139(constB145))))))),
% 9.99/7.57 inference(transitivity,[status(thm)],[40807, 40805])).
% 9.99/7.57 tff(40809,plain,
% 9.99/7.57 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB145) <=> (~((~v139(constB145)) | (~v130(constB145)))))),
% 9.99/7.57 inference(quant_inst,[status(thm)],[])).
% 9.99/7.57 tff(40810,plain,
% 9.99/7.57 ((~![VarCurr: $i] : (v155(VarCurr) <=> (~((~v139(VarCurr)) | (~v130(VarCurr)))))) | (v155(constB145) <=> (~((~v130(constB145)) | (~v139(constB145)))))),
% 9.99/7.57 inference(modus_ponens,[status(thm)],[40809, 40808])).
% 9.99/7.57 tff(40811,plain,
% 9.99/7.57 (v155(constB145) <=> (~((~v130(constB145)) | (~v139(constB145))))),
% 9.99/7.57 inference(unit_resolution,[status(thm)],[40810, 447])).
% 9.99/7.57 tff(40812,plain,
% 9.99/7.57 (((~v130(constB145)) | (~v139(constB145))) | v139(constB145)),
% 9.99/7.57 inference(tautology,[status(thm)],[])).
% 9.99/7.57 tff(40813,plain,
% 9.99/7.57 ((~v130(constB145)) | (~v139(constB145))),
% 9.99/7.57 inference(unit_resolution,[status(thm)],[40812, 35268])).
% 9.99/7.57 tff(40814,plain,
% 9.99/7.57 ((~(v155(constB145) <=> (~((~v130(constB145)) | (~v139(constB145)))))) | (~v155(constB145)) | (~((~v130(constB145)) | (~v139(constB145))))),
% 9.99/7.57 inference(tautology,[status(thm)],[])).
% 9.99/7.57 tff(40815,plain,
% 9.99/7.57 (~v155(constB145)),
% 9.99/7.57 inference(unit_resolution,[status(thm)],[40814, 40813, 40811])).
% 9.99/7.57 tff(40816,plain,
% 9.99/7.57 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB145) <=> (~((~v132(constB145)) | (~v154(constB145)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB145) <=> (~((~v132(constB145)) | (~v154(constB145))))))),
% 9.99/7.57 inference(rewrite,[status(thm)],[])).
% 9.99/7.57 tff(40817,plain,
% 9.99/7.57 ((v153(constB145) <=> (~((~v154(constB145)) | (~v132(constB145))))) <=> (v153(constB145) <=> (~((~v132(constB145)) | (~v154(constB145)))))),
% 9.99/7.57 inference(rewrite,[status(thm)],[])).
% 9.99/7.57 tff(40818,plain,
% 9.99/7.57 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB145) <=> (~((~v154(constB145)) | (~v132(constB145)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB145) <=> (~((~v132(constB145)) | (~v154(constB145))))))),
% 9.99/7.57 inference(monotonicity,[status(thm)],[40817])).
% 9.99/7.57 tff(40819,plain,
% 9.99/7.57 (((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB145) <=> (~((~v154(constB145)) | (~v132(constB145)))))) <=> ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB145) <=> (~((~v132(constB145)) | (~v154(constB145))))))),
% 9.99/7.57 inference(transitivity,[status(thm)],[40818, 40816])).
% 9.99/7.57 tff(40820,plain,
% 9.99/7.57 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB145) <=> (~((~v154(constB145)) | (~v132(constB145)))))),
% 9.99/7.57 inference(quant_inst,[status(thm)],[])).
% 9.99/7.57 tff(40821,plain,
% 9.99/7.57 ((~![VarCurr: $i] : (v153(VarCurr) <=> (~((~v154(VarCurr)) | (~v132(VarCurr)))))) | (v153(constB145) <=> (~((~v132(constB145)) | (~v154(constB145)))))),
% 9.99/7.57 inference(modus_ponens,[status(thm)],[40820, 40819])).
% 9.99/7.57 tff(40822,plain,
% 9.99/7.57 (v153(constB145) <=> (~((~v132(constB145)) | (~v154(constB145))))),
% 9.99/7.57 inference(unit_resolution,[status(thm)],[40821, 399])).
% 9.99/7.57 tff(40823,plain,
% 9.99/7.57 ((~![VarNext: $i] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB145) <=> v137(constB145))),
% 9.99/7.57 inference(quant_inst,[status(thm)],[])).
% 9.99/7.57 tff(40824,plain,
% 9.99/7.58 (v132(constB145) <=> v137(constB145)),
% 9.99/7.58 inference(unit_resolution,[status(thm)],[40823, 558])).
% 9.99/7.58 tff(40825,plain,
% 9.99/7.58 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB144, constB145)) | (v137(constB145) <=> v135(constB144)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB144, constB145)) | (v137(constB145) <=> v135(constB144)))),
% 9.99/7.58 inference(rewrite,[status(thm)],[])).
% 9.99/7.58 tff(40826,plain,
% 9.99/7.58 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB144, constB145)) | (v137(constB145) <=> v135(constB144)))),
% 9.99/7.58 inference(quant_inst,[status(thm)],[])).
% 9.99/7.58 tff(40827,plain,
% 9.99/7.58 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB144, constB145)) | (v137(constB145) <=> v135(constB144))),
% 9.99/7.58 inference(modus_ponens,[status(thm)],[40826, 40825])).
% 9.99/7.58 tff(40828,plain,
% 9.99/7.58 (v137(constB145) <=> v135(constB144)),
% 9.99/7.58 inference(unit_resolution,[status(thm)],[40827, 3162, 570])).
% 9.99/7.58 tff(40829,plain,
% 9.99/7.58 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB144) <=> (v138(constB144) | v142(constB144)))),
% 9.99/7.58 inference(quant_inst,[status(thm)],[])).
% 9.99/7.58 tff(40830,plain,
% 9.99/7.58 (v135(constB144) <=> (v138(constB144) | v142(constB144))),
% 9.99/7.58 inference(unit_resolution,[status(thm)],[40829, 584])).
% 9.99/7.58 tff(40831,plain,
% 9.99/7.58 ((~![VarCurr: $i] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB144) <=> (~((~v143(constB144)) | (~v144(constB144)))))),
% 9.99/7.58 inference(quant_inst,[status(thm)],[])).
% 9.99/7.58 tff(40832,plain,
% 9.99/7.58 (v142(constB144) <=> (~((~v143(constB144)) | (~v144(constB144))))),
% 9.99/7.58 inference(unit_resolution,[status(thm)],[40831, 596])).
% 9.99/7.58 tff(40833,plain,
% 9.99/7.58 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB144) <=> (~((~v141(constB144)) | (~v145(constB144)))))),
% 9.99/7.58 inference(quant_inst,[status(thm)],[])).
% 9.99/7.58 tff(40834,plain,
% 9.99/7.58 (v144(constB144) <=> (~((~v141(constB144)) | (~v145(constB144))))),
% 9.99/7.58 inference(unit_resolution,[status(thm)],[40833, 608])).
% 9.99/7.58 tff(40835,plain,
% 9.99/7.58 (((~v141(constB144)) | (~v145(constB144))) | v141(constB144)),
% 9.99/7.58 inference(tautology,[status(thm)],[])).
% 9.99/7.58 tff(40836,plain,
% 9.99/7.58 ((~v141(constB144)) | (~v145(constB144))),
% 9.99/7.58 inference(unit_resolution,[status(thm)],[40835, 35313])).
% 9.99/7.58 tff(40837,plain,
% 9.99/7.58 ((~(v144(constB144) <=> (~((~v141(constB144)) | (~v145(constB144)))))) | (~v144(constB144)) | (~((~v141(constB144)) | (~v145(constB144))))),
% 9.99/7.58 inference(tautology,[status(thm)],[])).
% 9.99/7.58 tff(40838,plain,
% 9.99/7.58 ((~(v144(constB144) <=> (~((~v141(constB144)) | (~v145(constB144)))))) | (~v144(constB144))),
% 9.99/7.58 inference(unit_resolution,[status(thm)],[40837, 40836])).
% 9.99/7.58 tff(40839,plain,
% 9.99/7.58 (~v144(constB144)),
% 9.99/7.58 inference(unit_resolution,[status(thm)],[40838, 40834])).
% 9.99/7.58 tff(40840,plain,
% 9.99/7.58 (((~v143(constB144)) | (~v144(constB144))) | v144(constB144)),
% 9.99/7.58 inference(tautology,[status(thm)],[])).
% 9.99/7.58 tff(40841,plain,
% 9.99/7.58 ((~v143(constB144)) | (~v144(constB144))),
% 9.99/7.58 inference(unit_resolution,[status(thm)],[40840, 40839])).
% 9.99/7.58 tff(40842,plain,
% 9.99/7.58 ((~(v142(constB144) <=> (~((~v143(constB144)) | (~v144(constB144)))))) | (~v142(constB144)) | (~((~v143(constB144)) | (~v144(constB144))))),
% 9.99/7.58 inference(tautology,[status(thm)],[])).
% 9.99/7.58 tff(40843,plain,
% 9.99/7.58 (~v142(constB144)),
% 9.99/7.58 inference(unit_resolution,[status(thm)],[40842, 40841, 40832])).
% 9.99/7.58 tff(40844,plain,
% 9.99/7.58 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB144) <=> (~((~v132(constB144)) | (~v139(constB144)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB144) <=> (~((~v132(constB144)) | (~v139(constB144))))))),
% 9.99/7.58 inference(rewrite,[status(thm)],[])).
% 9.99/7.58 tff(40845,plain,
% 9.99/7.58 ((v138(constB144) <=> (~((~v139(constB144)) | (~v132(constB144))))) <=> (v138(constB144) <=> (~((~v132(constB144)) | (~v139(constB144)))))),
% 9.99/7.58 inference(rewrite,[status(thm)],[])).
% 9.99/7.58 tff(40846,plain,
% 9.99/7.58 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB144) <=> (~((~v139(constB144)) | (~v132(constB144)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB144) <=> (~((~v132(constB144)) | (~v139(constB144))))))),
% 9.99/7.58 inference(monotonicity,[status(thm)],[40845])).
% 9.99/7.58 tff(40847,plain,
% 9.99/7.58 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB144) <=> (~((~v139(constB144)) | (~v132(constB144)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB144) <=> (~((~v132(constB144)) | (~v139(constB144))))))),
% 9.99/7.58 inference(transitivity,[status(thm)],[40846, 40844])).
% 9.99/7.58 tff(40848,plain,
% 9.99/7.58 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB144) <=> (~((~v139(constB144)) | (~v132(constB144)))))),
% 9.99/7.58 inference(quant_inst,[status(thm)],[])).
% 9.99/7.58 tff(40849,plain,
% 9.99/7.58 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB144) <=> (~((~v132(constB144)) | (~v139(constB144)))))),
% 9.99/7.58 inference(modus_ponens,[status(thm)],[40848, 40847])).
% 9.99/7.58 tff(40850,plain,
% 9.99/7.58 (v138(constB144) <=> (~((~v132(constB144)) | (~v139(constB144))))),
% 9.99/7.58 inference(unit_resolution,[status(thm)],[40849, 644])).
% 9.99/7.58 tff(40851,plain,
% 9.99/7.58 ((~![VarNext: $i] : (v132(VarNext) <=> v137(VarNext))) | (v132(constB144) <=> v137(constB144))),
% 9.99/7.58 inference(quant_inst,[status(thm)],[])).
% 9.99/7.58 tff(40852,plain,
% 9.99/7.58 (v132(constB144) <=> v137(constB144)),
% 9.99/7.58 inference(unit_resolution,[status(thm)],[40851, 558])).
% 9.99/7.58 tff(40853,plain,
% 9.99/7.58 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB143, constB144)) | (v137(constB144) <=> v135(constB143)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB143, constB144)) | (v137(constB144) <=> v135(constB143)))),
% 9.99/7.58 inference(rewrite,[status(thm)],[])).
% 9.99/7.58 tff(40854,plain,
% 9.99/7.58 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | ((~nextState(constB143, constB144)) | (v137(constB144) <=> v135(constB143)))),
% 9.99/7.58 inference(quant_inst,[status(thm)],[])).
% 9.99/7.58 tff(40855,plain,
% 9.99/7.58 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v137(VarNext) <=> v135(VarCurr)))) | (~nextState(constB143, constB144)) | (v137(constB144) <=> v135(constB143))),
% 9.99/7.58 inference(modus_ponens,[status(thm)],[40854, 40853])).
% 9.99/7.58 tff(40856,plain,
% 9.99/7.58 (v137(constB144) <=> v135(constB143)),
% 9.99/7.58 inference(unit_resolution,[status(thm)],[40855, 3194, 570])).
% 9.99/7.58 tff(40857,plain,
% 9.99/7.58 ((~![VarCurr: $i] : (v135(VarCurr) <=> (v138(VarCurr) | v142(VarCurr)))) | (v135(constB143) <=> (v138(constB143) | v142(constB143)))),
% 9.99/7.58 inference(quant_inst,[status(thm)],[])).
% 9.99/7.58 tff(40858,plain,
% 9.99/7.58 (v135(constB143) <=> (v138(constB143) | v142(constB143))),
% 9.99/7.58 inference(unit_resolution,[status(thm)],[40857, 584])).
% 9.99/7.58 tff(40859,plain,
% 9.99/7.58 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB143) <=> (~((~v132(constB143)) | (~v139(constB143)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB143) <=> (~((~v132(constB143)) | (~v139(constB143))))))),
% 9.99/7.58 inference(rewrite,[status(thm)],[])).
% 9.99/7.58 tff(40860,plain,
% 9.99/7.58 ((v138(constB143) <=> (~((~v139(constB143)) | (~v132(constB143))))) <=> (v138(constB143) <=> (~((~v132(constB143)) | (~v139(constB143)))))),
% 9.99/7.58 inference(rewrite,[status(thm)],[])).
% 9.99/7.58 tff(40861,plain,
% 9.99/7.58 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB143) <=> (~((~v139(constB143)) | (~v132(constB143)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB143) <=> (~((~v132(constB143)) | (~v139(constB143))))))),
% 9.99/7.58 inference(monotonicity,[status(thm)],[40860])).
% 9.99/7.58 tff(40862,plain,
% 9.99/7.58 (((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB143) <=> (~((~v139(constB143)) | (~v132(constB143)))))) <=> ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB143) <=> (~((~v132(constB143)) | (~v139(constB143))))))),
% 9.99/7.58 inference(transitivity,[status(thm)],[40861, 40859])).
% 9.99/7.58 tff(40863,plain,
% 9.99/7.58 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB143) <=> (~((~v139(constB143)) | (~v132(constB143)))))),
% 9.99/7.58 inference(quant_inst,[status(thm)],[])).
% 9.99/7.58 tff(40864,plain,
% 9.99/7.58 ((~![VarCurr: $i] : (v138(VarCurr) <=> (~((~v139(VarCurr)) | (~v132(VarCurr)))))) | (v138(constB143) <=> (~((~v132(constB143)) | (~v139(constB143)))))),
% 9.99/7.58 inference(modus_ponens,[status(thm)],[40863, 40862])).
% 9.99/7.58 tff(40865,plain,
% 9.99/7.58 (v138(constB143) <=> (~((~v132(constB143)) | (~v139(constB143))))),
% 9.99/7.58 inference(unit_resolution,[status(thm)],[40864, 644])).
% 9.99/7.58 tff(40866,plain,
% 9.99/7.58 (((~v132(constB143)) | (~v139(constB143))) | v139(constB143)),
% 9.99/7.58 inference(tautology,[status(thm)],[])).
% 9.99/7.58 tff(40867,plain,
% 9.99/7.58 ((~v132(constB143)) | (~v139(constB143))),
% 9.99/7.58 inference(unit_resolution,[status(thm)],[40866, 35406])).
% 9.99/7.58 tff(40868,plain,
% 9.99/7.58 ((~(v138(constB143) <=> (~((~v132(constB143)) | (~v139(constB143)))))) | (~v138(constB143)) | (~((~v132(constB143)) | (~v139(constB143))))),
% 9.99/7.58 inference(tautology,[status(thm)],[])).
% 9.99/7.58 tff(40869,plain,
% 9.99/7.58 (~v138(constB143)),
% 9.99/7.58 inference(unit_resolution,[status(thm)],[40868, 40867, 40865])).
% 9.99/7.58 tff(40870,plain,
% 9.99/7.58 ((~![VarCurr: $i] : (v142(VarCurr) <=> (~((~v143(VarCurr)) | (~v144(VarCurr)))))) | (v142(constB143) <=> (~((~v143(constB143)) | (~v144(constB143)))))),
% 9.99/7.58 inference(quant_inst,[status(thm)],[])).
% 9.99/7.58 tff(40871,plain,
% 9.99/7.58 (v142(constB143) <=> (~((~v143(constB143)) | (~v144(constB143))))),
% 9.99/7.58 inference(unit_resolution,[status(thm)],[40870, 596])).
% 9.99/7.58 tff(40872,plain,
% 9.99/7.58 ((~![VarCurr: $i] : (v144(VarCurr) <=> (~((~v141(VarCurr)) | (~v145(VarCurr)))))) | (v144(constB143) <=> (~((~v141(constB143)) | (~v145(constB143)))))),
% 9.99/7.58 inference(quant_inst,[status(thm)],[])).
% 9.99/7.58 tff(40873,plain,
% 9.99/7.58 (v144(constB143) <=> (~((~v141(constB143)) | (~v145(constB143))))),
% 9.99/7.58 inference(unit_resolution,[status(thm)],[40872, 608])).
% 9.99/7.58 tff(40874,plain,
% 9.99/7.58 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB143) <=> (~(v84(constB143, bitIndex2) | v84(constB143, bitIndex1) | (~v84(constB143, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB143) <=> (~(v84(constB143, bitIndex2) | v84(constB143, bitIndex1) | (~v84(constB143, bitIndex0))))))),
% 9.99/7.58 inference(rewrite,[status(thm)],[])).
% 9.99/7.58 tff(40875,plain,
% 9.99/7.58 ((v145(constB143) <=> (~(v84(constB143, bitIndex1) | v84(constB143, bitIndex2) | (~v84(constB143, bitIndex0))))) <=> (v145(constB143) <=> (~(v84(constB143, bitIndex2) | v84(constB143, bitIndex1) | (~v84(constB143, bitIndex0)))))),
% 9.99/7.58 inference(rewrite,[status(thm)],[])).
% 9.99/7.58 tff(40876,plain,
% 9.99/7.58 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB143) <=> (~(v84(constB143, bitIndex1) | v84(constB143, bitIndex2) | (~v84(constB143, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB143) <=> (~(v84(constB143, bitIndex2) | v84(constB143, bitIndex1) | (~v84(constB143, bitIndex0))))))),
% 9.99/7.58 inference(monotonicity,[status(thm)],[40875])).
% 9.99/7.58 tff(40877,plain,
% 9.99/7.58 (((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB143) <=> (~(v84(constB143, bitIndex1) | v84(constB143, bitIndex2) | (~v84(constB143, bitIndex0)))))) <=> ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB143) <=> (~(v84(constB143, bitIndex2) | v84(constB143, bitIndex1) | (~v84(constB143, bitIndex0))))))),
% 9.99/7.58 inference(transitivity,[status(thm)],[40876, 40874])).
% 9.99/7.58 tff(40878,plain,
% 9.99/7.58 ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB143) <=> (~(v84(constB143, bitIndex1) | v84(constB143, bitIndex2) | (~v84(constB143, bitIndex0)))))),
% 9.99/7.58 inference(quant_inst,[status(thm)],[])).
% 9.99/7.58 tff(40879,plain,
% 9.99/7.58 ((~![VarCurr: $i] : (v145(VarCurr) <=> (~(v84(VarCurr, bitIndex1) | v84(VarCurr, bitIndex2) | (~v84(VarCurr, bitIndex0)))))) | (v145(constB143) <=> (~(v84(constB143, bitIndex2) | v84(constB143, bitIndex1) | (~v84(constB143, bitIndex0)))))),
% 9.99/7.58 inference(modus_ponens,[status(thm)],[40878, 40877])).
% 9.99/7.58 tff(40880,plain,
% 9.99/7.58 (v145(constB143) <=> (~(v84(constB143, bitIndex2) | v84(constB143, bitIndex1) | (~v84(constB143, bitIndex0))))),
% 9.99/7.58 inference(unit_resolution,[status(thm)],[40879, 755])).
% 9.99/7.58 tff(40881,plain,
% 9.99/7.58 ((v84(constB143, bitIndex2) | v84(constB143, bitIndex1) | (~v84(constB143, bitIndex0))) | (~v84(constB143, bitIndex2))),
% 9.99/7.58 inference(tautology,[status(thm)],[])).
% 9.99/7.58 tff(40882,plain,
% 9.99/7.58 (v84(constB143, bitIndex2) | v84(constB143, bitIndex1) | (~v84(constB143, bitIndex0))),
% 9.99/7.58 inference(unit_resolution,[status(thm)],[40881, 21425])).
% 9.99/7.58 tff(40883,plain,
% 9.99/7.58 ((~(v145(constB143) <=> (~(v84(constB143, bitIndex2) | v84(constB143, bitIndex1) | (~v84(constB143, bitIndex0)))))) | (~v145(constB143)) | (~(v84(constB143, bitIndex2) | v84(constB143, bitIndex1) | (~v84(constB143, bitIndex0))))),
% 9.99/7.58 inference(tautology,[status(thm)],[])).
% 9.99/7.58 tff(40884,plain,
% 9.99/7.58 (~v145(constB143)),
% 9.99/7.58 inference(unit_resolution,[status(thm)],[40883, 40882, 40880])).
% 9.99/7.58 tff(40885,plain,
% 9.99/7.58 (((~v141(constB143)) | (~v145(constB143))) | v145(constB143)),
% 9.99/7.58 inference(tautology,[status(thm)],[])).
% 9.99/7.58 tff(40886,plain,
% 9.99/7.58 ((~v141(constB143)) | (~v145(constB143))),
% 9.99/7.58 inference(unit_resolution,[status(thm)],[40885, 40884])).
% 9.99/7.58 tff(40887,plain,
% 9.99/7.58 ((~(v144(constB143) <=> (~((~v141(constB143)) | (~v145(constB143)))))) | (~v144(constB143)) | (~((~v141(constB143)) | (~v145(constB143))))),
% 9.99/7.58 inference(tautology,[status(thm)],[])).
% 9.99/7.58 tff(40888,plain,
% 9.99/7.58 (~v144(constB143)),
% 9.99/7.58 inference(unit_resolution,[status(thm)],[40887, 40886, 40873])).
% 9.99/7.58 tff(40889,plain,
% 9.99/7.58 (((~v143(constB143)) | (~v144(constB143))) | v144(constB143)),
% 9.99/7.58 inference(tautology,[status(thm)],[])).
% 9.99/7.58 tff(40890,plain,
% 9.99/7.58 ((~v143(constB143)) | (~v144(constB143))),
% 9.99/7.58 inference(unit_resolution,[status(thm)],[40889, 40888])).
% 9.99/7.58 tff(40891,plain,
% 9.99/7.58 ((~(v142(constB143) <=> (~((~v143(constB143)) | (~v144(constB143)))))) | (~v142(constB143)) | (~((~v143(constB143)) | (~v144(constB143))))),
% 9.99/7.58 inference(tautology,[status(thm)],[])).
% 9.99/7.58 tff(40892,plain,
% 9.99/7.58 (~v142(constB143)),
% 9.99/7.58 inference(unit_resolution,[status(thm)],[40891, 40890, 40871])).
% 9.99/7.58 tff(40893,plain,
% 9.99/7.58 ((~(v138(constB143) | v142(constB143))) | v138(constB143) | v142(constB143)),
% 9.99/7.58 inference(tautology,[status(thm)],[])).
% 9.99/7.58 tff(40894,plain,
% 9.99/7.58 (~(v138(constB143) | v142(constB143))),
% 9.99/7.58 inference(unit_resolution,[status(thm)],[40893, 40892, 40869])).
% 9.99/7.58 tff(40895,plain,
% 9.99/7.58 ((~(v135(constB143) <=> (v138(constB143) | v142(constB143)))) | (~v135(constB143)) | (v138(constB143) | v142(constB143))),
% 9.99/7.58 inference(tautology,[status(thm)],[])).
% 9.99/7.58 tff(40896,plain,
% 9.99/7.58 (~v135(constB143)),
% 9.99/7.58 inference(unit_resolution,[status(thm)],[40895, 40894, 40858])).
% 9.99/7.58 tff(40897,plain,
% 9.99/7.58 ((~(v137(constB144) <=> v135(constB143))) | (~v137(constB144)) | v135(constB143)),
% 9.99/7.58 inference(tautology,[status(thm)],[])).
% 9.99/7.58 tff(40898,plain,
% 9.99/7.58 (~v137(constB144)),
% 9.99/7.58 inference(unit_resolution,[status(thm)],[40897, 40896, 40856])).
% 9.99/7.58 tff(40899,plain,
% 9.99/7.58 ((~(v132(constB144) <=> v137(constB144))) | (~v132(constB144)) | v137(constB144)),
% 9.99/7.58 inference(tautology,[status(thm)],[])).
% 9.99/7.58 tff(40900,plain,
% 9.99/7.58 (~v132(constB144)),
% 9.99/7.58 inference(unit_resolution,[status(thm)],[40899, 40898, 40852])).
% 9.99/7.58 tff(40901,plain,
% 9.99/7.58 (((~v132(constB144)) | (~v139(constB144))) | v132(constB144)),
% 9.99/7.58 inference(tautology,[status(thm)],[])).
% 9.99/7.58 tff(40902,plain,
% 9.99/7.58 ((~v132(constB144)) | (~v139(constB144))),
% 9.99/7.58 inference(unit_resolution,[status(thm)],[40901, 40900])).
% 9.99/7.58 tff(40903,plain,
% 9.99/7.58 ((~(v138(constB144) <=> (~((~v132(constB144)) | (~v139(constB144)))))) | (~v138(constB144)) | (~((~v132(constB144)) | (~v139(constB144))))),
% 9.99/7.58 inference(tautology,[status(thm)],[])).
% 9.99/7.58 tff(40904,plain,
% 9.99/7.58 (~v138(constB144)),
% 9.99/7.58 inference(unit_resolution,[status(thm)],[40903, 40902, 40850])).
% 9.99/7.58 tff(40905,plain,
% 9.99/7.58 ((~(v138(constB144) | v142(constB144))) | v138(constB144) | v142(constB144)),
% 9.99/7.58 inference(tautology,[status(thm)],[])).
% 9.99/7.58 tff(40906,plain,
% 9.99/7.58 (~(v138(constB144) | v142(constB144))),
% 9.99/7.58 inference(unit_resolution,[status(thm)],[40905, 40904, 40843])).
% 9.99/7.58 tff(40907,plain,
% 9.99/7.58 ((~(v135(constB144) <=> (v138(constB144) | v142(constB144)))) | (~v135(constB144)) | (v138(constB144) | v142(constB144))),
% 9.99/7.58 inference(tautology,[status(thm)],[])).
% 9.99/7.58 tff(40908,plain,
% 9.99/7.58 (~v135(constB144)),
% 9.99/7.58 inference(unit_resolution,[status(thm)],[40907, 40906, 40830])).
% 9.99/7.58 tff(40909,plain,
% 9.99/7.58 ((~(v137(constB145) <=> v135(constB144))) | (~v137(constB145)) | v135(constB144)),
% 9.99/7.58 inference(tautology,[status(thm)],[])).
% 9.99/7.58 tff(40910,plain,
% 9.99/7.58 (~v137(constB145)),
% 9.99/7.58 inference(unit_resolution,[status(thm)],[40909, 40908, 40828])).
% 9.99/7.58 tff(40911,plain,
% 9.99/7.58 ((~(v132(constB145) <=> v137(constB145))) | (~v132(constB145)) | v137(constB145)),
% 9.99/7.58 inference(tautology,[status(thm)],[])).
% 9.99/7.58 tff(40912,plain,
% 9.99/7.58 (~v132(constB145)),
% 9.99/7.58 inference(unit_resolution,[status(thm)],[40911, 40910, 40824])).
% 9.99/7.58 tff(40913,plain,
% 9.99/7.58 (((~v132(constB145)) | (~v154(constB145))) | v132(constB145)),
% 9.99/7.58 inference(tautology,[status(thm)],[])).
% 9.99/7.58 tff(40914,plain,
% 9.99/7.58 ((~v132(constB145)) | (~v154(constB145))),
% 9.99/7.58 inference(unit_resolution,[status(thm)],[40913, 40912])).
% 9.99/7.58 tff(40915,plain,
% 9.99/7.58 ((~(v153(constB145) <=> (~((~v132(constB145)) | (~v154(constB145)))))) | (~v153(constB145)) | (~((~v132(constB145)) | (~v154(constB145))))),
% 9.99/7.58 inference(tautology,[status(thm)],[])).
% 9.99/7.58 tff(40916,plain,
% 9.99/7.58 (~v153(constB145)),
% 9.99/7.58 inference(unit_resolution,[status(thm)],[40915, 40914, 40822])).
% 9.99/7.58 tff(40917,plain,
% 9.99/7.58 ((~(v153(constB145) | v155(constB145))) | v153(constB145) | v155(constB145)),
% 9.99/7.58 inference(tautology,[status(thm)],[])).
% 9.99/7.58 tff(40918,plain,
% 9.99/7.58 (~(v153(constB145) | v155(constB145))),
% 9.99/7.58 inference(unit_resolution,[status(thm)],[40917, 40916, 40815])).
% 9.99/7.58 tff(40919,plain,
% 9.99/7.58 ((~(v150(constB145) <=> (v153(constB145) | v155(constB145)))) | (~v150(constB145)) | (v153(constB145) | v155(constB145))),
% 9.99/7.58 inference(tautology,[status(thm)],[])).
% 9.99/7.58 tff(40920,plain,
% 9.99/7.58 (~v150(constB145)),
% 9.99/7.58 inference(unit_resolution,[status(thm)],[40919, 40918, 40804])).
% 9.99/7.58 tff(40921,plain,
% 9.99/7.58 ((~(v152(constB146) <=> v150(constB145))) | (~v152(constB146)) | v150(constB145)),
% 9.99/7.58 inference(tautology,[status(thm)],[])).
% 9.99/7.58 tff(40922,plain,
% 9.99/7.58 (~v152(constB146)),
% 9.99/7.58 inference(unit_resolution,[status(thm)],[40921, 40920, 40802])).
% 9.99/7.58 tff(40923,plain,
% 9.99/7.58 ((~(v130(constB146) <=> v152(constB146))) | (~v130(constB146)) | v152(constB146)),
% 9.99/7.58 inference(tautology,[status(thm)],[])).
% 9.99/7.58 tff(40924,plain,
% 9.99/7.58 (~v130(constB146)),
% 9.99/7.58 inference(unit_resolution,[status(thm)],[40923, 40922, 40798])).
% 9.99/7.58 tff(40925,plain,
% 9.99/7.58 (((~v130(constB146)) | (~v139(constB146))) | v130(constB146)),
% 9.99/7.58 inference(tautology,[status(thm)],[])).
% 9.99/7.58 tff(40926,plain,
% 9.99/7.58 ((~v130(constB146)) | (~v139(constB146))),
% 9.99/7.58 inference(unit_resolution,[status(thm)],[40925, 40924])).
% 9.99/7.58 tff(40927,plain,
% 9.99/7.58 ((~(v155(constB146) <=> (~((~v130(constB146)) | (~v139(constB146)))))) | (~v155(constB146)) | (~((~v130(constB146)) | (~v139(constB146))))),
% 9.99/7.58 inference(tautology,[status(thm)],[])).
% 9.99/7.58 tff(40928,plain,
% 9.99/7.58 (~v155(constB146)),
% 9.99/7.58 inference(unit_resolution,[status(thm)],[40927, 40926, 40796])).
% 9.99/7.58 tff(40929,plain,
% 9.99/7.58 ((~(v153(constB146) | v155(constB146))) | v153(constB146) | v155(constB146)),
% 9.99/7.58 inference(tautology,[status(thm)],[])).
% 9.99/7.58 tff(40930,plain,
% 9.99/7.58 (~(v153(constB146) | v155(constB146))),
% 9.99/7.58 inference(unit_resolution,[status(thm)],[40929, 40928, 40789])).
% 9.99/7.58 tff(40931,plain,
% 9.99/7.58 ((~(v150(constB146) <=> (v153(constB146) | v155(constB146)))) | (~v150(constB146)) | (v153(constB146) | v155(constB146))),
% 9.99/7.58 inference(tautology,[status(thm)],[])).
% 9.99/7.58 tff(40932,plain,
% 9.99/7.58 (~v150(constB146)),
% 9.99/7.58 inference(unit_resolution,[status(thm)],[40931, 40930, 40778])).
% 9.99/7.58 tff(40933,plain,
% 9.99/7.58 ((~(v152(constB147) <=> v150(constB146))) | (~v152(constB147)) | v150(constB146)),
% 9.99/7.58 inference(tautology,[status(thm)],[])).
% 9.99/7.58 tff(40934,plain,
% 9.99/7.58 (~v152(constB147)),
% 9.99/7.58 inference(unit_resolution,[status(thm)],[40933, 40932, 40776])).
% 9.99/7.58 tff(40935,plain,
% 9.99/7.58 ((~(v130(constB147) <=> v152(constB147))) | (~v130(constB147)) | v152(constB147)),
% 9.99/7.58 inference(tautology,[status(thm)],[])).
% 9.99/7.58 tff(40936,plain,
% 9.99/7.58 (~v130(constB147)),
% 9.99/7.58 inference(unit_resolution,[status(thm)],[40935, 40934, 40772])).
% 9.99/7.58 tff(40937,plain,
% 9.99/7.58 (((~v130(constB147)) | (~v154(constB147))) | v130(constB147)),
% 9.99/7.58 inference(tautology,[status(thm)],[])).
% 9.99/7.58 tff(40938,plain,
% 9.99/7.58 ((~v130(constB147)) | (~v154(constB147))),
% 9.99/7.58 inference(unit_resolution,[status(thm)],[40937, 40936])).
% 9.99/7.58 tff(40939,plain,
% 9.99/7.58 ((~(v164(constB147) <=> (~((~v130(constB147)) | (~v154(constB147)))))) | (~v164(constB147)) | (~((~v130(constB147)) | (~v154(constB147))))),
% 9.99/7.58 inference(tautology,[status(thm)],[])).
% 9.99/7.58 tff(40940,plain,
% 9.99/7.58 (~v164(constB147)),
% 9.99/7.58 inference(unit_resolution,[status(thm)],[40939, 40938, 40770])).
% 9.99/7.58 tff(40941,plain,
% 9.99/7.58 ((~(v163(constB147) | v164(constB147))) | v163(constB147) | v164(constB147)),
% 9.99/7.58 inference(tautology,[status(thm)],[])).
% 9.99/7.58 tff(40942,plain,
% 9.99/7.58 (~(v163(constB147) | v164(constB147))),
% 9.99/7.58 inference(unit_resolution,[status(thm)],[40941, 40940, 40763])).
% 9.99/7.58 tff(40943,plain,
% 9.99/7.58 ((~(v160(constB147) <=> (v163(constB147) | v164(constB147)))) | (~v160(constB147)) | (v163(constB147) | v164(constB147))),
% 9.99/7.58 inference(tautology,[status(thm)],[])).
% 9.99/7.58 tff(40944,plain,
% 9.99/7.58 (~v160(constB147)),
% 9.99/7.58 inference(unit_resolution,[status(thm)],[40943, 40942, 40690])).
% 9.99/7.58 tff(40945,plain,
% 9.99/7.58 ((~(v162(constB148) <=> v160(constB147))) | (~v162(constB148)) | v160(constB147)),
% 9.99/7.58 inference(tautology,[status(thm)],[])).
% 9.99/7.58 tff(40946,plain,
% 9.99/7.58 (~v162(constB148)),
% 9.99/7.58 inference(unit_resolution,[status(thm)],[40945, 40944, 40688])).
% 9.99/7.58 tff(40947,plain,
% 9.99/7.58 ((~(v128(constB148) <=> v162(constB148))) | (~v128(constB148)) | v162(constB148)),
% 9.99/7.58 inference(tautology,[status(thm)],[])).
% 9.99/7.58 tff(40948,plain,
% 9.99/7.58 (~v128(constB148)),
% 9.99/7.58 inference(unit_resolution,[status(thm)],[40947, 40946, 40684])).
% 9.99/7.58 tff(40949,plain,
% 9.99/7.58 (((~v128(constB148)) | (~v139(constB148))) | v128(constB148)),
% 9.99/7.58 inference(tautology,[status(thm)],[])).
% 9.99/7.58 tff(40950,plain,
% 9.99/7.58 ((~v128(constB148)) | (~v139(constB148))),
% 9.99/7.58 inference(unit_resolution,[status(thm)],[40949, 40948])).
% 9.99/7.58 tff(40951,plain,
% 9.99/7.58 ((~(v163(constB148) <=> (~((~v128(constB148)) | (~v139(constB148)))))) | (~v163(constB148)) | (~((~v128(constB148)) | (~v139(constB148))))),
% 9.99/7.58 inference(tautology,[status(thm)],[])).
% 9.99/7.58 tff(40952,plain,
% 9.99/7.58 (~v163(constB148)),
% 9.99/7.58 inference(unit_resolution,[status(thm)],[40951, 40950, 40682])).
% 9.99/7.58 tff(40953,plain,
% 9.99/7.58 ((~(v163(constB148) | v164(constB148))) | v163(constB148) | v164(constB148)),
% 9.99/7.58 inference(tautology,[status(thm)],[])).
% 9.99/7.58 tff(40954,plain,
% 9.99/7.58 (~(v163(constB148) | v164(constB148))),
% 9.99/7.58 inference(unit_resolution,[status(thm)],[40953, 40952, 40675])).
% 9.99/7.58 tff(40955,plain,
% 9.99/7.58 ((~(v160(constB148) <=> (v163(constB148) | v164(constB148)))) | (~v160(constB148)) | (v163(constB148) | v164(constB148))),
% 9.99/7.58 inference(tautology,[status(thm)],[])).
% 9.99/7.58 tff(40956,plain,
% 9.99/7.58 (~v160(constB148)),
% 9.99/7.58 inference(unit_resolution,[status(thm)],[40955, 40954, 40640])).
% 9.99/7.58 tff(40957,plain,
% 9.99/7.58 ((~(v162(constB149) <=> v160(constB148))) | (~v162(constB149)) | v160(constB148)),
% 9.99/7.58 inference(tautology,[status(thm)],[])).
% 9.99/7.58 tff(40958,plain,
% 9.99/7.58 (~v162(constB149)),
% 9.99/7.58 inference(unit_resolution,[status(thm)],[40957, 40956, 40638])).
% 9.99/7.58 tff(40959,plain,
% 9.99/7.58 ($false),
% 9.99/7.58 inference(unit_resolution,[status(thm)],[40958, 40634])).
% 9.99/7.58 tff(40960,plain,(~(constB149 = VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 9.99/7.58 tff(40961,assumption,(constB139 = VarCurr!0), introduced(assumption)).
% 9.99/7.58 tff(40962,plain,
% 9.99/7.58 (v162(constB139) <=> v162(VarCurr!0)),
% 9.99/7.58 inference(monotonicity,[status(thm)],[40961])).
% 9.99/7.58 tff(40963,plain,
% 9.99/7.58 (v162(VarCurr!0) <=> v162(constB139)),
% 9.99/7.58 inference(symmetry,[status(thm)],[40962])).
% 9.99/7.58 tff(40964,plain,
% 9.99/7.58 (v162(constB139)),
% 9.99/7.58 inference(modus_ponens,[status(thm)],[59, 40963])).
% 9.99/7.58 tff(40965,plain,
% 9.99/7.58 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB138, constB139)) | (v162(constB139) <=> v160(constB138)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB138, constB139)) | (v162(constB139) <=> v160(constB138)))),
% 9.99/7.58 inference(rewrite,[status(thm)],[])).
% 9.99/7.58 tff(40966,plain,
% 9.99/7.58 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB138, constB139)) | (v162(constB139) <=> v160(constB138)))),
% 9.99/7.58 inference(quant_inst,[status(thm)],[])).
% 9.99/7.58 tff(40967,plain,
% 9.99/7.58 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB138, constB139)) | (v162(constB139) <=> v160(constB138))),
% 9.99/7.58 inference(modus_ponens,[status(thm)],[40966, 40965])).
% 9.99/7.58 tff(40968,plain,
% 9.99/7.58 (v162(constB139) <=> v160(constB138)),
% 9.99/7.58 inference(unit_resolution,[status(thm)],[40967, 3430, 70])).
% 9.99/7.58 tff(40969,plain,
% 9.99/7.58 ((~![VarCurr: $i] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB138) <=> (v163(constB138) | v164(constB138)))),
% 9.99/7.58 inference(quant_inst,[status(thm)],[])).
% 9.99/7.58 tff(40970,plain,
% 9.99/7.58 (v160(constB138) <=> (v163(constB138) | v164(constB138))),
% 9.99/7.58 inference(unit_resolution,[status(thm)],[40969, 84])).
% 9.99/7.58 tff(40971,plain,
% 9.99/7.58 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB138) <=> (~((~v130(constB138)) | (~v154(constB138)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB138) <=> (~((~v130(constB138)) | (~v154(constB138))))))),
% 9.99/7.58 inference(rewrite,[status(thm)],[])).
% 9.99/7.58 tff(40972,plain,
% 9.99/7.58 ((v164(constB138) <=> (~((~v154(constB138)) | (~v130(constB138))))) <=> (v164(constB138) <=> (~((~v130(constB138)) | (~v154(constB138)))))),
% 9.99/7.58 inference(rewrite,[status(thm)],[])).
% 9.99/7.58 tff(40973,plain,
% 9.99/7.58 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB138) <=> (~((~v154(constB138)) | (~v130(constB138)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB138) <=> (~((~v130(constB138)) | (~v154(constB138))))))),
% 9.99/7.58 inference(monotonicity,[status(thm)],[40972])).
% 9.99/7.58 tff(40974,plain,
% 9.99/7.58 (((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB138) <=> (~((~v154(constB138)) | (~v130(constB138)))))) <=> ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB138) <=> (~((~v130(constB138)) | (~v154(constB138))))))),
% 9.99/7.58 inference(transitivity,[status(thm)],[40973, 40971])).
% 9.99/7.58 tff(40975,plain,
% 9.99/7.58 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB138) <=> (~((~v154(constB138)) | (~v130(constB138)))))),
% 9.99/7.58 inference(quant_inst,[status(thm)],[])).
% 9.99/7.58 tff(40976,plain,
% 9.99/7.58 ((~![VarCurr: $i] : (v164(VarCurr) <=> (~((~v154(VarCurr)) | (~v130(VarCurr)))))) | (v164(constB138) <=> (~((~v130(constB138)) | (~v154(constB138)))))),
% 9.99/7.58 inference(modus_ponens,[status(thm)],[40975, 40974])).
% 9.99/7.58 tff(40977,plain,
% 9.99/7.58 (v164(constB138) <=> (~((~v130(constB138)) | (~v154(constB138))))),
% 9.99/7.58 inference(unit_resolution,[status(thm)],[40976, 96])).
% 9.99/7.58 tff(40978,plain,
% 9.99/7.58 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB138) <=> (~((~v141(constB138)) | (~v143(constB138)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB138) <=> (~((~v141(constB138)) | (~v143(constB138))))))),
% 9.99/7.58 inference(rewrite,[status(thm)],[])).
% 9.99/7.58 tff(40979,plain,
% 9.99/7.58 ((v154(constB138) <=> (~((~v143(constB138)) | (~v141(constB138))))) <=> (v154(constB138) <=> (~((~v141(constB138)) | (~v143(constB138)))))),
% 9.99/7.58 inference(rewrite,[status(thm)],[])).
% 9.99/7.58 tff(40980,plain,
% 9.99/7.58 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB138) <=> (~((~v143(constB138)) | (~v141(constB138)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB138) <=> (~((~v141(constB138)) | (~v143(constB138))))))),
% 9.99/7.58 inference(monotonicity,[status(thm)],[40979])).
% 9.99/7.58 tff(40981,plain,
% 9.99/7.58 (((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB138) <=> (~((~v143(constB138)) | (~v141(constB138)))))) <=> ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB138) <=> (~((~v141(constB138)) | (~v143(constB138))))))),
% 9.99/7.58 inference(transitivity,[status(thm)],[40980, 40978])).
% 9.99/7.58 tff(40982,plain,
% 9.99/7.58 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB138) <=> (~((~v143(constB138)) | (~v141(constB138)))))),
% 9.99/7.58 inference(quant_inst,[status(thm)],[])).
% 9.99/7.58 tff(40983,plain,
% 9.99/7.58 ((~![VarCurr: $i] : (v154(VarCurr) <=> (~((~v143(VarCurr)) | (~v141(VarCurr)))))) | (v154(constB138) <=> (~((~v141(constB138)) | (~v143(constB138)))))),
% 9.99/7.58 inference(modus_ponens,[status(thm)],[40982, 40981])).
% 9.99/7.58 tff(40984,plain,
% 9.99/7.58 (v154(constB138) <=> (~((~v141(constB138)) | (~v143(constB138))))),
% 9.99/7.58 inference(unit_resolution,[status(thm)],[40983, 113])).
% 9.99/7.58 tff(40985,plain,
% 9.99/7.58 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB138) <=> (~((~v39(constB138)) | (~v9(constB138)))))),
% 9.99/7.58 inference(quant_inst,[status(thm)],[])).
% 9.99/7.58 tff(40986,plain,
% 9.99/7.58 (v141(constB138) <=> (~((~v39(constB138)) | (~v9(constB138))))),
% 9.99/7.58 inference(unit_resolution,[status(thm)],[40985, 130])).
% 9.99/7.58 tff(40987,plain,
% 9.99/7.58 ((~![VarCurr: $i] : ((~v39(VarCurr)) <=> v1(VarCurr))) | ((~v39(constB138)) <=> v1(constB138))),
% 9.99/7.58 inference(quant_inst,[status(thm)],[])).
% 9.99/7.58 tff(40988,plain,
% 9.99/7.58 ((~v39(constB138)) <=> v1(constB138)),
% 9.99/7.58 inference(unit_resolution,[status(thm)],[40987, 139])).
% 9.99/7.58 tff(40989,plain,
% 9.99/7.58 ((~((~v39(constB138)) <=> v1(constB138))) | (~v39(constB138)) | (~v1(constB138))),
% 9.99/7.58 inference(tautology,[status(thm)],[])).
% 9.99/7.58 tff(40990,plain,
% 9.99/7.58 ((~((~v39(constB138)) <=> v1(constB138))) | (~v39(constB138))),
% 9.99/7.58 inference(unit_resolution,[status(thm)],[40989, 3492])).
% 9.99/7.58 tff(40991,plain,
% 9.99/7.58 (~v39(constB138)),
% 9.99/7.58 inference(unit_resolution,[status(thm)],[40990, 40988])).
% 9.99/7.58 tff(40992,plain,
% 9.99/7.58 (((~v39(constB138)) | (~v9(constB138))) | v39(constB138)),
% 9.99/7.58 inference(tautology,[status(thm)],[])).
% 9.99/7.58 tff(40993,plain,
% 9.99/7.58 ((~v39(constB138)) | (~v9(constB138))),
% 9.99/7.58 inference(unit_resolution,[status(thm)],[40992, 40991])).
% 9.99/7.58 tff(40994,plain,
% 9.99/7.58 ((~(v141(constB138) <=> (~((~v39(constB138)) | (~v9(constB138)))))) | (~v141(constB138)) | (~((~v39(constB138)) | (~v9(constB138))))),
% 9.99/7.58 inference(tautology,[status(thm)],[])).
% 9.99/7.58 tff(40995,plain,
% 9.99/7.58 ((~(v141(constB138) <=> (~((~v39(constB138)) | (~v9(constB138)))))) | (~v141(constB138))),
% 9.99/7.58 inference(unit_resolution,[status(thm)],[40994, 40993])).
% 9.99/7.58 tff(40996,plain,
% 9.99/7.58 (~v141(constB138)),
% 9.99/7.58 inference(unit_resolution,[status(thm)],[40995, 40986])).
% 9.99/7.58 tff(40997,plain,
% 9.99/7.58 (((~v141(constB138)) | (~v143(constB138))) | v141(constB138)),
% 9.99/7.58 inference(tautology,[status(thm)],[])).
% 9.99/7.58 tff(40998,plain,
% 9.99/7.58 ((~v141(constB138)) | (~v143(constB138))),
% 9.99/7.58 inference(unit_resolution,[status(thm)],[40997, 40996])).
% 9.99/7.58 tff(40999,plain,
% 9.99/7.58 ((~(v154(constB138) <=> (~((~v141(constB138)) | (~v143(constB138)))))) | (~v154(constB138)) | (~((~v141(constB138)) | (~v143(constB138))))),
% 9.99/7.58 inference(tautology,[status(thm)],[])).
% 9.99/7.58 tff(41000,plain,
% 9.99/7.58 ((~(v154(constB138) <=> (~((~v141(constB138)) | (~v143(constB138)))))) | (~v154(constB138))),
% 9.99/7.58 inference(unit_resolution,[status(thm)],[40999, 40998])).
% 9.99/7.58 tff(41001,plain,
% 9.99/7.58 (~v154(constB138)),
% 9.99/7.58 inference(unit_resolution,[status(thm)],[41000, 40984])).
% 9.99/7.58 tff(41002,plain,
% 9.99/7.58 (((~v130(constB138)) | (~v154(constB138))) | v154(constB138)),
% 9.99/7.58 inference(tautology,[status(thm)],[])).
% 9.99/7.58 tff(41003,plain,
% 9.99/7.58 ((~v130(constB138)) | (~v154(constB138))),
% 9.99/7.58 inference(unit_resolution,[status(thm)],[41002, 41001])).
% 9.99/7.58 tff(41004,plain,
% 9.99/7.58 ((~(v164(constB138) <=> (~((~v130(constB138)) | (~v154(constB138)))))) | (~v164(constB138)) | (~((~v130(constB138)) | (~v154(constB138))))),
% 9.99/7.58 inference(tautology,[status(thm)],[])).
% 9.99/7.58 tff(41005,plain,
% 9.99/7.58 (~v164(constB138)),
% 9.99/7.58 inference(unit_resolution,[status(thm)],[41004, 41003, 40977])).
% 9.99/7.58 tff(41006,plain,
% 9.99/7.58 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB138) <=> (~((~v128(constB138)) | (~v139(constB138)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB138) <=> (~((~v128(constB138)) | (~v139(constB138))))))),
% 9.99/7.58 inference(rewrite,[status(thm)],[])).
% 9.99/7.58 tff(41007,plain,
% 9.99/7.58 ((v163(constB138) <=> (~((~v139(constB138)) | (~v128(constB138))))) <=> (v163(constB138) <=> (~((~v128(constB138)) | (~v139(constB138)))))),
% 9.99/7.58 inference(rewrite,[status(thm)],[])).
% 9.99/7.58 tff(41008,plain,
% 9.99/7.58 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB138) <=> (~((~v139(constB138)) | (~v128(constB138)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB138) <=> (~((~v128(constB138)) | (~v139(constB138))))))),
% 9.99/7.58 inference(monotonicity,[status(thm)],[41007])).
% 9.99/7.58 tff(41009,plain,
% 9.99/7.58 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB138) <=> (~((~v139(constB138)) | (~v128(constB138)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB138) <=> (~((~v128(constB138)) | (~v139(constB138))))))),
% 9.99/7.58 inference(transitivity,[status(thm)],[41008, 41006])).
% 9.99/7.58 tff(41010,plain,
% 9.99/7.58 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB138) <=> (~((~v139(constB138)) | (~v128(constB138)))))),
% 9.99/7.58 inference(quant_inst,[status(thm)],[])).
% 9.99/7.58 tff(41011,plain,
% 9.99/7.58 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB138) <=> (~((~v128(constB138)) | (~v139(constB138)))))),
% 9.99/7.58 inference(modus_ponens,[status(thm)],[41010, 41009])).
% 9.99/7.58 tff(41012,plain,
% 9.99/7.58 (v163(constB138) <=> (~((~v128(constB138)) | (~v139(constB138))))),
% 9.99/7.58 inference(unit_resolution,[status(thm)],[41011, 171])).
% 9.99/7.58 tff(41013,plain,
% 9.99/7.58 ((~![VarNext: $i] : (v128(VarNext) <=> v162(VarNext))) | (v128(constB138) <=> v162(constB138))),
% 9.99/7.58 inference(quant_inst,[status(thm)],[])).
% 9.99/7.58 tff(41014,plain,
% 9.99/7.58 (v128(constB138) <=> v162(constB138)),
% 9.99/7.58 inference(unit_resolution,[status(thm)],[41013, 13])).
% 9.99/7.58 tff(41015,plain,
% 9.99/7.58 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB137, constB138)) | (v162(constB138) <=> v160(constB137)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB137, constB138)) | (v162(constB138) <=> v160(constB137)))),
% 9.99/7.58 inference(rewrite,[status(thm)],[])).
% 9.99/7.58 tff(41016,plain,
% 9.99/7.58 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | ((~nextState(constB137, constB138)) | (v162(constB138) <=> v160(constB137)))),
% 9.99/7.58 inference(quant_inst,[status(thm)],[])).
% 9.99/7.58 tff(41017,plain,
% 9.99/7.58 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v162(VarNext) <=> v160(VarCurr)))) | (~nextState(constB137, constB138)) | (v162(constB138) <=> v160(constB137))),
% 9.99/7.58 inference(modus_ponens,[status(thm)],[41016, 41015])).
% 9.99/7.58 tff(41018,plain,
% 9.99/7.58 (v162(constB138) <=> v160(constB137)),
% 9.99/7.58 inference(unit_resolution,[status(thm)],[41017, 3462, 70])).
% 9.99/7.58 tff(41019,plain,
% 9.99/7.58 ((~![VarCurr: $i] : (v160(VarCurr) <=> (v163(VarCurr) | v164(VarCurr)))) | (v160(constB137) <=> (v163(constB137) | v164(constB137)))),
% 9.99/7.58 inference(quant_inst,[status(thm)],[])).
% 9.99/7.58 tff(41020,plain,
% 9.99/7.58 (v160(constB137) <=> (v163(constB137) | v164(constB137))),
% 9.99/7.58 inference(unit_resolution,[status(thm)],[41019, 84])).
% 9.99/7.58 tff(41021,plain,
% 9.99/7.58 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB137) <=> (~((~v128(constB137)) | (~v139(constB137)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB137) <=> (~((~v128(constB137)) | (~v139(constB137))))))),
% 9.99/7.58 inference(rewrite,[status(thm)],[])).
% 9.99/7.58 tff(41022,plain,
% 9.99/7.58 ((v163(constB137) <=> (~((~v139(constB137)) | (~v128(constB137))))) <=> (v163(constB137) <=> (~((~v128(constB137)) | (~v139(constB137)))))),
% 9.99/7.58 inference(rewrite,[status(thm)],[])).
% 9.99/7.58 tff(41023,plain,
% 9.99/7.58 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB137) <=> (~((~v139(constB137)) | (~v128(constB137)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB137) <=> (~((~v128(constB137)) | (~v139(constB137))))))),
% 9.99/7.58 inference(monotonicity,[status(thm)],[41022])).
% 9.99/7.58 tff(41024,plain,
% 9.99/7.58 (((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB137) <=> (~((~v139(constB137)) | (~v128(constB137)))))) <=> ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB137) <=> (~((~v128(constB137)) | (~v139(constB137))))))),
% 9.99/7.58 inference(transitivity,[status(thm)],[41023, 41021])).
% 9.99/7.58 tff(41025,plain,
% 9.99/7.58 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB137) <=> (~((~v139(constB137)) | (~v128(constB137)))))),
% 9.99/7.58 inference(quant_inst,[status(thm)],[])).
% 9.99/7.58 tff(41026,plain,
% 9.99/7.58 ((~![VarCurr: $i] : (v163(VarCurr) <=> (~((~v139(VarCurr)) | (~v128(VarCurr)))))) | (v163(constB137) <=> (~((~v128(constB137)) | (~v139(constB137)))))),
% 9.99/7.58 inference(modus_ponens,[status(thm)],[41025, 41024])).
% 9.99/7.58 tff(41027,plain,
% 9.99/7.58 (v163(constB137) <=> (~((~v128(constB137)) | (~v139(constB137))))),
% 9.99/7.58 inference(unit_resolution,[status(thm)],[41026, 171])).
% 9.99/7.58 tff(41028,plain,
% 9.99/7.58 ((~![VarCurr: $i] : ((~v139(VarCurr)) <=> v140(VarCurr))) | ((~v139(constB137)) <=> v140(constB137))),
% 9.99/7.58 inference(quant_inst,[status(thm)],[])).
% 9.99/7.58 tff(41029,plain,
% 9.99/7.58 ((~v139(constB137)) <=> v140(constB137)),
% 9.99/7.58 inference(unit_resolution,[status(thm)],[41028, 203])).
% 9.99/7.58 tff(41030,plain,
% 9.99/7.58 ((~![VarCurr: $i] : (v140(VarCurr) <=> (v141(VarCurr) | v26(VarCurr)))) | (v140(constB137) <=> (v141(constB137) | v26(constB137)))),
% 9.99/7.58 inference(quant_inst,[status(thm)],[])).
% 9.99/7.58 tff(41031,plain,
% 9.99/7.58 (v140(constB137) <=> (v141(constB137) | v26(constB137))),
% 9.99/7.58 inference(unit_resolution,[status(thm)],[41030, 212])).
% 9.99/7.58 tff(41032,plain,
% 9.99/7.58 ((~![VarCurr: $i] : (v141(VarCurr) <=> (~((~v39(VarCurr)) | (~v9(VarCurr)))))) | (v141(constB137) <=> (~((~v39(constB137)) | (~v9(constB137)))))),
% 9.99/7.58 inference(quant_inst,[status(thm)],[])).
% 9.99/7.58 tff(41033,plain,
% 9.99/7.58 (v141(constB137) <=> (~((~v39(constB137)) | (~v9(constB137))))),
% 9.99/7.58 inference(unit_resolution,[status(thm)],[41032, 130])).
% 9.99/7.58 tff(41034,plain,
% 9.99/7.58 (((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB137, constB138)) | (v13(constB138) <=> v9(constB137)))) <=> ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB137, constB138)) | (v13(constB138) <=> v9(constB137)))),
% 9.99/7.58 inference(rewrite,[status(thm)],[])).
% 9.99/7.58 tff(41035,plain,
% 9.99/7.58 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | ((~nextState(constB137, constB138)) | (v13(constB138) <=> v9(constB137)))),
% 9.99/7.58 inference(quant_inst,[status(thm)],[])).
% 9.99/7.58 tff(41036,plain,
% 9.99/7.58 ((~![VarCurr: $i, VarNext: $i] : ((~nextState(VarCurr, VarNext)) | (v13(VarNext) <=> v9(VarCurr)))) | (~nextState(constB137, constB138)) | (v13(constB138) <=> v9(constB137))),
% 9.99/7.58 inference(modus_ponens,[status(thm)],[41035, 41034])).
% 9.99/7.58 tff(41037,plain,
% 9.99/7.58 (v13(constB138) <=> v9(constB137)),
% 9.99/7.58 inference(unit_resolution,[status(thm)],[41036, 3462, 226])).
% 9.99/7.58 tff(41038,plain,
% 9.99/7.58 ((~![VarNext: $i] : (v6(VarNext) <=> v13(VarNext))) | (v6(constB138) <=> v13(constB138))),
% 9.99/7.59 inference(quant_inst,[status(thm)],[])).
% 9.99/7.59 tff(41039,plain,
% 9.99/7.59 (v6(constB138) <=> v13(constB138)),
% 9.99/7.59 inference(unit_resolution,[status(thm)],[41038, 240])).
% 9.99/7.59 tff(41040,plain,
% 9.99/7.59 ((~![VarCurr: $i] : ((~v21(VarCurr)) <